id	sid	tid	token	lemma	pos
ejpam-5869	1	1	european	european	PROPN
ejpam-5869	1	2	journal	journal	PROPN
ejpam-5869	1	3	of	of	ADP
ejpam-5869	1	4	pure	pure	ADJ
ejpam-5869	1	5	and	and	CCONJ
ejpam-5869	1	6	applied	applied	ADJ
ejpam-5869	1	7	mathematics	mathematic	NOUN
ejpam-5869	1	8	2025	2025	NUM
ejpam-5869	1	9	,	,	PUNCT
ejpam-5869	1	10	vol	vol	NOUN
ejpam-5869	1	11	.	.	PROPN
ejpam-5869	1	12	18	18	NUM
ejpam-5869	1	13	,	,	PUNCT
ejpam-5869	1	14	issue	issue	NOUN
ejpam-5869	1	15	2	2	NUM
ejpam-5869	1	16	,	,	PUNCT
ejpam-5869	1	17	article	article	NOUN
ejpam-5869	1	18	number	number	NOUN
ejpam-5869	1	19	5869	5869	NUM
ejpam-5869	1	20	issn	issn	VERB
ejpam-5869	1	21	1307	1307	NUM
ejpam-5869	1	22	-	-	SYM
ejpam-5869	1	23	5543	5543	NUM
ejpam-5869	1	24	–	–	PUNCT
ejpam-5869	1	25	ejpam.com	ejpam.com	X
ejpam-5869	1	26	published	publish	VERB
ejpam-5869	1	27	by	by	ADP
ejpam-5869	1	28	new	new	PROPN
ejpam-5869	1	29	york	york	PROPN
ejpam-5869	1	30	business	business	PROPN
ejpam-5869	1	31	global	global	ADJ
ejpam-5869	1	32	certain	certain	ADJ
ejpam-5869	1	33	subclass	subclass	NOUN
ejpam-5869	1	34	of	of	ADP
ejpam-5869	1	35	multivalently	multivalently	ADJ
ejpam-5869	1	36	bazilevič	bazilevič	NOUN
ejpam-5869	1	37	and	and	CCONJ
ejpam-5869	1	38	non	non	ADJ
ejpam-5869	1	39	-	-	ADJ
ejpam-5869	1	40	bazilevič	bazilevič	ADJ
ejpam-5869	1	41	functions	function	NOUN
ejpam-5869	1	42	involving	involve	VERB
ejpam-5869	1	43	the	the	DET
ejpam-5869	1	44	lemniscate	lemniscate	NOUN
ejpam-5869	1	45	of	of	ADP
ejpam-5869	1	46	bernoulli	bernoulli	PROPN
ejpam-5869	1	47	tamer	tame	ADJ
ejpam-5869	1	48	m.	m.	PROPN
ejpam-5869	1	49	seoudy1,∗	seoudy1,∗	PROPN
ejpam-5869	1	50	,	,	PUNCT
ejpam-5869	1	51	amnah	amnah	PROPN
ejpam-5869	1	52	e.	e.	PROPN
ejpam-5869	1	53	shammaky2	shammaky2	PROPN
ejpam-5869	2	1	1	1	NUM
ejpam-5869	2	2	department	department	NOUN
ejpam-5869	2	3	of	of	ADP
ejpam-5869	2	4	mathematics	mathematic	NOUN
ejpam-5869	2	5	,	,	PUNCT
ejpam-5869	2	6	jamoum	jamoum	PROPN
ejpam-5869	2	7	university	university	PROPN
ejpam-5869	2	8	college	college	NOUN
ejpam-5869	2	9	,	,	PUNCT
ejpam-5869	2	10	umm	umm	INTJ
ejpam-5869	2	11	al	al	PROPN
ejpam-5869	2	12	-	-	PUNCT
ejpam-5869	2	13	qura	qura	PROPN
ejpam-5869	2	14	university	university	PROPN
ejpam-5869	2	15	,	,	PUNCT
ejpam-5869	2	16	makkah	makkah	PROPN
ejpam-5869	2	17	,	,	PUNCT
ejpam-5869	2	18	saudi	saudi	PROPN
ejpam-5869	2	19	arabia	arabia	PROPN
ejpam-5869	2	20	2	2	NUM
ejpam-5869	2	21	department	department	NOUN
ejpam-5869	2	22	of	of	ADP
ejpam-5869	2	23	mathematics	mathematic	NOUN
ejpam-5869	2	24	,	,	PUNCT
ejpam-5869	2	25	faculty	faculty	NOUN
ejpam-5869	2	26	of	of	ADP
ejpam-5869	2	27	science	science	NOUN
ejpam-5869	2	28	,	,	PUNCT
ejpam-5869	2	29	jazan	jazan	PROPN
ejpam-5869	2	30	university	university	PROPN
ejpam-5869	2	31	,	,	PUNCT
ejpam-5869	2	32	jazan	jazan	NOUN
ejpam-5869	2	33	,	,	PUNCT
ejpam-5869	2	34	saudi	saudi	PROPN
ejpam-5869	2	35	arabia	arabia	PROPN
ejpam-5869	2	36	abstract	abstract	NOUN
ejpam-5869	2	37	.	.	PUNCT
ejpam-5869	3	1	making	make	VERB
ejpam-5869	3	2	use	use	NOUN
ejpam-5869	3	3	of	of	ADP
ejpam-5869	3	4	the	the	DET
ejpam-5869	3	5	principle	principle	NOUN
ejpam-5869	3	6	of	of	ADP
ejpam-5869	3	7	subordination	subordination	NOUN
ejpam-5869	3	8	,	,	PUNCT
ejpam-5869	3	9	we	we	PRON
ejpam-5869	3	10	define	define	VERB
ejpam-5869	3	11	a	a	DET
ejpam-5869	3	12	certain	certain	ADJ
ejpam-5869	3	13	subclass	subclass	NOUN
ejpam-5869	3	14	of	of	ADP
ejpam-5869	3	15	p−valently	p−valently	ADV
ejpam-5869	3	16	bazilevič	bazilevič	NOUN
ejpam-5869	3	17	and	and	CCONJ
ejpam-5869	3	18	non	non	ADJ
ejpam-5869	3	19	-	-	ADJ
ejpam-5869	3	20	bazilevič	bazilevič	ADJ
ejpam-5869	3	21	functions	function	NOUN
ejpam-5869	3	22	associated	associate	VERB
ejpam-5869	3	23	with	with	ADP
ejpam-5869	3	24	the	the	DET
ejpam-5869	3	25	lemniscate	lemniscate	NOUN
ejpam-5869	3	26	of	of	ADP
ejpam-5869	3	27	bernoulli	bernoulli	PROPN
ejpam-5869	3	28	.	.	PUNCT
ejpam-5869	4	1	also	also	ADV
ejpam-5869	4	2	,	,	PUNCT
ejpam-5869	4	3	subordination	subordination	NOUN
ejpam-5869	4	4	results	result	NOUN
ejpam-5869	4	5	,	,	PUNCT
ejpam-5869	4	6	convolution	convolution	NOUN
ejpam-5869	4	7	properties	property	NOUN
ejpam-5869	4	8	,	,	PUNCT
ejpam-5869	4	9	coefficients	coefficient	NOUN
ejpam-5869	4	10	estimate	estimate	NOUN
ejpam-5869	4	11	and	and	CCONJ
ejpam-5869	4	12	fekete	fekete	PROPN
ejpam-5869	4	13	–	–	PUNCT
ejpam-5869	4	14	szegö	szegö	ADJ
ejpam-5869	4	15	inequalities	inequality	NOUN
ejpam-5869	4	16	for	for	ADP
ejpam-5869	4	17	this	this	DET
ejpam-5869	4	18	subclass	subclass	NOUN
ejpam-5869	4	19	are	be	AUX
ejpam-5869	4	20	derived	derive	VERB
ejpam-5869	4	21	.	.	PUNCT
ejpam-5869	5	1	2020	2020	NUM
ejpam-5869	5	2	mathematics	mathematic	NOUN
ejpam-5869	5	3	subject	subject	NOUN
ejpam-5869	5	4	classifications	classification	NOUN
ejpam-5869	5	5	:	:	PUNCT
ejpam-5869	5	6	30c45	30c45	NUM
ejpam-5869	5	7	key	key	ADJ
ejpam-5869	5	8	words	word	NOUN
ejpam-5869	5	9	and	and	CCONJ
ejpam-5869	5	10	phrases	phrase	NOUN
ejpam-5869	5	11	:	:	PUNCT
ejpam-5869	5	12	analytic	analytic	ADJ
ejpam-5869	5	13	functions	function	NOUN
ejpam-5869	5	14	,	,	PUNCT
ejpam-5869	5	15	subordination	subordination	NOUN
ejpam-5869	5	16	,	,	PUNCT
ejpam-5869	5	17	convolution	convolution	NOUN
ejpam-5869	5	18	,	,	PUNCT
ejpam-5869	5	19	bazilevič	bazilevič	NOUN
ejpam-5869	5	20	function	function	NOUN
ejpam-5869	5	21	,	,	PUNCT
ejpam-5869	5	22	non	non	ADJ
ejpam-5869	5	23	-	-	ADJ
ejpam-5869	5	24	bazilevič	bazilevič	ADJ
ejpam-5869	5	25	function	function	NOUN
ejpam-5869	5	26	,	,	PUNCT
ejpam-5869	5	27	fekete	fekete	PROPN
ejpam-5869	5	28	–	–	PUNCT
ejpam-5869	5	29	szegö	szegö	VERB
ejpam-5869	5	30	problem	problem	NOUN
ejpam-5869	5	31	1	1	NUM
ejpam-5869	5	32	.	.	PUNCT
ejpam-5869	6	1	introduction	introduction	NOUN
ejpam-5869	6	2	let	let	VERB
ejpam-5869	6	3	h	h	PROPN
ejpam-5869	6	4	(	(	PUNCT
ejpam-5869	6	5	u	u	NOUN
ejpam-5869	6	6	)	)	PUNCT
ejpam-5869	6	7	be	be	VERB
ejpam-5869	6	8	the	the	DET
ejpam-5869	6	9	class	class	NOUN
ejpam-5869	6	10	of	of	ADP
ejpam-5869	6	11	all	all	DET
ejpam-5869	6	12	analytic	analytic	ADJ
ejpam-5869	6	13	functions	function	NOUN
ejpam-5869	6	14	in	in	ADP
ejpam-5869	6	15	u	u	NOUN
ejpam-5869	6	16	=	=	PUNCT
ejpam-5869	6	17	{	{	PUNCT
ejpam-5869	6	18	ξ	ξ	X
ejpam-5869	6	19	∈	∈	PROPN
ejpam-5869	6	20	c	c	NOUN
ejpam-5869	6	21	:	:	PUNCT
ejpam-5869	6	22	|ξ|	|ξ|	VERB
ejpam-5869	6	23	<	<	X
ejpam-5869	6	24	1	1	NUM
ejpam-5869	6	25	}	}	PUNCT
ejpam-5869	6	26	.	.	PUNCT
ejpam-5869	7	1	for	for	ADP
ejpam-5869	7	2	χ	χ	NOUN
ejpam-5869	7	3	,	,	PUNCT
ejpam-5869	7	4	ρ	ρ	PROPN
ejpam-5869	7	5	∈	∈	PROPN
ejpam-5869	7	6	h	h	NOUN
ejpam-5869	7	7	(	(	PUNCT
ejpam-5869	7	8	u	u	NOUN
ejpam-5869	7	9	)	)	PUNCT
ejpam-5869	7	10	,	,	PUNCT
ejpam-5869	7	11	we	we	PRON
ejpam-5869	7	12	say	say	VERB
ejpam-5869	7	13	that	that	SCONJ
ejpam-5869	7	14	χ	χ	X
ejpam-5869	7	15	(	(	PUNCT
ejpam-5869	7	16	ξ	ξ	NOUN
ejpam-5869	7	17	)	)	PUNCT
ejpam-5869	7	18	is	be	AUX
ejpam-5869	7	19	subordinate	subordinate	ADJ
ejpam-5869	7	20	to	to	ADP
ejpam-5869	7	21	ρ	ρ	PROPN
ejpam-5869	7	22	(	(	PUNCT
ejpam-5869	7	23	ξ	ξ	NOUN
ejpam-5869	7	24	)	)	PUNCT
ejpam-5869	7	25	,	,	PUNCT
ejpam-5869	7	26	written	write	VERB
ejpam-5869	7	27	χ	χ	PRON
ejpam-5869	7	28	≺	≺	NOUN
ejpam-5869	7	29	ρ	ρ	NOUN
ejpam-5869	7	30	in	in	ADP
ejpam-5869	7	31	u	u	NOUN
ejpam-5869	7	32	or	or	CCONJ
ejpam-5869	7	33	χ(ξ	χ(ξ	NOUN
ejpam-5869	7	34	)	)	PUNCT
ejpam-5869	7	35	≺	≺	NOUN
ejpam-5869	7	36	ρ(ξ	ρ(ξ	NOUN
ejpam-5869	7	37	)	)	PUNCT
ejpam-5869	7	38	(	(	PUNCT
ejpam-5869	7	39	ξ	ξ	PROPN
ejpam-5869	7	40	∈	∈	PROPN
ejpam-5869	7	41	u	u	NOUN
ejpam-5869	7	42	)	)	PUNCT
ejpam-5869	7	43	,	,	PUNCT
ejpam-5869	7	44	if	if	SCONJ
ejpam-5869	7	45	there	there	PRON
ejpam-5869	7	46	exists	exist	VERB
ejpam-5869	7	47	a	a	DET
ejpam-5869	7	48	schwarz	schwarz	PROPN
ejpam-5869	7	49	function	function	PROPN
ejpam-5869	7	50	ω	ω	PROPN
ejpam-5869	7	51	(	(	PUNCT
ejpam-5869	7	52	ξ	ξ	NOUN
ejpam-5869	7	53	)	)	PUNCT
ejpam-5869	7	54	,	,	PUNCT
ejpam-5869	7	55	which	which	PRON
ejpam-5869	7	56	(	(	PUNCT
ejpam-5869	7	57	by	by	ADP
ejpam-5869	7	58	definition	definition	NOUN
ejpam-5869	7	59	)	)	PUNCT
ejpam-5869	7	60	is	be	AUX
ejpam-5869	7	61	analytic	analytic	ADJ
ejpam-5869	7	62	in	in	ADP
ejpam-5869	7	63	u	u	NOUN
ejpam-5869	7	64	with	with	ADP
ejpam-5869	7	65	ω	ω	PROPN
ejpam-5869	7	66	(	(	PUNCT
ejpam-5869	7	67	0	0	NUM
ejpam-5869	7	68	)	)	PUNCT
ejpam-5869	7	69	=	=	SYM
ejpam-5869	7	70	0	0	NUM
ejpam-5869	7	71	and	and	CCONJ
ejpam-5869	7	72	|ω	|ω	PROPN
ejpam-5869	7	73	(	(	PUNCT
ejpam-5869	7	74	ξ)|	ξ)|	X
ejpam-5869	7	75	<	<	X
ejpam-5869	7	76	1(ξ	1(ξ	NUM
ejpam-5869	7	77	∈	∈	PROPN
ejpam-5869	7	78	u	u	NOUN
ejpam-5869	7	79	)	)	PUNCT
ejpam-5869	7	80	such	such	ADJ
ejpam-5869	7	81	that	that	SCONJ
ejpam-5869	7	82	χ(ξ	χ(ξ	NOUN
ejpam-5869	7	83	)	)	PUNCT
ejpam-5869	7	84	=	=	SYM
ejpam-5869	7	85	ρ(ω(ξ	ρ(ω(ξ	NUM
ejpam-5869	7	86	)	)	PUNCT
ejpam-5869	7	87	)	)	PUNCT
ejpam-5869	8	1	(	(	PUNCT
ejpam-5869	8	2	ξ	ξ	X
ejpam-5869	8	3	∈	∈	PROPN
ejpam-5869	8	4	u	u	NOUN
ejpam-5869	8	5	)	)	PUNCT
ejpam-5869	8	6	.	.	PUNCT
ejpam-5869	9	1	in	in	ADP
ejpam-5869	9	2	addition	addition	NOUN
ejpam-5869	9	3	,	,	PUNCT
ejpam-5869	9	4	if	if	SCONJ
ejpam-5869	9	5	ρ	ρ	PROPN
ejpam-5869	9	6	(	(	PUNCT
ejpam-5869	9	7	ξ	ξ	NOUN
ejpam-5869	9	8	)	)	PUNCT
ejpam-5869	9	9	is	be	AUX
ejpam-5869	9	10	a	a	DET
ejpam-5869	9	11	univalent	univalent	ADJ
ejpam-5869	9	12	function	function	NOUN
ejpam-5869	9	13	in	in	ADP
ejpam-5869	9	14	u	u	NOUN
ejpam-5869	9	15	,	,	PUNCT
ejpam-5869	9	16	then	then	ADV
ejpam-5869	9	17	we	we	PRON
ejpam-5869	9	18	have	have	VERB
ejpam-5869	9	19	the	the	DET
ejpam-5869	9	20	following	following	ADJ
ejpam-5869	9	21	equivalence	equivalence	NOUN
ejpam-5869	9	22	(	(	PUNCT
ejpam-5869	9	23	see	see	VERB
ejpam-5869	9	24	[	[	X
ejpam-5869	9	25	1	1	X
ejpam-5869	9	26	]	]	PUNCT
ejpam-5869	9	27	and	and	CCONJ
ejpam-5869	10	1	[	[	X
ejpam-5869	10	2	2	2	NUM
ejpam-5869	10	3	]	]	PUNCT
ejpam-5869	10	4	):	):	PUNCT
ejpam-5869	10	5	χ(ξ	χ(ξ	NOUN
ejpam-5869	10	6	)	)	PUNCT
ejpam-5869	10	7	≺	≺	NOUN
ejpam-5869	10	8	ρ(ξ	ρ(ξ	NOUN
ejpam-5869	10	9	)	)	PUNCT
ejpam-5869	10	10	(	(	PUNCT
ejpam-5869	10	11	ξ	ξ	PROPN
ejpam-5869	10	12	∈	∈	PROPN
ejpam-5869	10	13	u	u	NOUN
ejpam-5869	10	14	)	)	PUNCT
ejpam-5869	10	15	⇐	⇐	ADJ
ejpam-5869	10	16	⇒	⇒	PROPN
ejpam-5869	10	17	χ(0	χ(0	NOUN
ejpam-5869	10	18	)	)	PUNCT
ejpam-5869	10	19	=	=	SYM
ejpam-5869	10	20	ρ(0	ρ(0	PROPN
ejpam-5869	10	21	)	)	PUNCT
ejpam-5869	10	22	and	and	CCONJ
ejpam-5869	10	23	χ(u	χ(u	NOUN
ejpam-5869	10	24	)	)	PUNCT
ejpam-5869	10	25	⊂	⊂	PROPN
ejpam-5869	10	26	ρ(u	ρ(u	PROPN
ejpam-5869	10	27	)	)	PUNCT
ejpam-5869	10	28	.	.	PUNCT
ejpam-5869	11	1	also	also	ADV
ejpam-5869	11	2	,	,	PUNCT
ejpam-5869	11	3	let	let	VERB
ejpam-5869	11	4	ap	ap	PROPN
ejpam-5869	11	5	denote	denote	VERB
ejpam-5869	11	6	the	the	DET
ejpam-5869	11	7	subclass	subclass	NOUN
ejpam-5869	11	8	of	of	ADP
ejpam-5869	11	9	h	h	PROPN
ejpam-5869	11	10	(	(	PUNCT
ejpam-5869	11	11	u	u	NOUN
ejpam-5869	11	12	)	)	PUNCT
ejpam-5869	11	13	consisting	consist	VERB
ejpam-5869	11	14	of	of	ADP
ejpam-5869	11	15	functions	function	NOUN
ejpam-5869	11	16	of	of	ADP
ejpam-5869	11	17	the	the	DET
ejpam-5869	11	18	form	form	NOUN
ejpam-5869	11	19	:	:	PUNCT
ejpam-5869	11	20	χ	χ	X
ejpam-5869	11	21	(	(	PUNCT
ejpam-5869	11	22	ξ	ξ	NOUN
ejpam-5869	11	23	)	)	PUNCT
ejpam-5869	11	24	=	=	SYM
ejpam-5869	11	25	ξp	ξp	ADP
ejpam-5869	11	26	+	+	NUM
ejpam-5869	11	27	∞∑	∞∑	NUM
ejpam-5869	11	28	k	k	X
ejpam-5869	11	29	=	=	NOUN
ejpam-5869	11	30	p+1	p+1	PROPN
ejpam-5869	11	31	ϱkξ	ϱkξ	NOUN
ejpam-5869	12	1	k	k	X
ejpam-5869	13	1	(	(	PUNCT
ejpam-5869	13	2	p	p	NOUN
ejpam-5869	13	3	∈	∈	PROPN
ejpam-5869	13	4	n	n	NOUN
ejpam-5869	13	5	=	=	SYM
ejpam-5869	13	6	{	{	PUNCT
ejpam-5869	13	7	1	1	NUM
ejpam-5869	13	8	,	,	PUNCT
ejpam-5869	13	9	2	2	NUM
ejpam-5869	13	10	,	,	PUNCT
ejpam-5869	13	11	3	3	NUM
ejpam-5869	13	12	,	,	PUNCT
ejpam-5869	13	13	...	...	PUNCT
ejpam-5869	13	14	}	}	PUNCT
ejpam-5869	13	15	;	;	PUNCT
ejpam-5869	13	16	ξ	ξ	X
ejpam-5869	13	17	∈	∈	PROPN
ejpam-5869	13	18	u	u	NOUN
ejpam-5869	13	19	)	)	PUNCT
ejpam-5869	13	20	,	,	PUNCT
ejpam-5869	13	21	(	(	PUNCT
ejpam-5869	13	22	1	1	X
ejpam-5869	13	23	)	)	PUNCT
ejpam-5869	13	24	∗corresponding	∗corresponde	VERB
ejpam-5869	13	25	author	author	NOUN
ejpam-5869	13	26	.	.	PUNCT
ejpam-5869	14	1	doi	doi	NOUN
ejpam-5869	14	2	:	:	PUNCT
ejpam-5869	14	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5869	https://doi.org/10.29020/nybg.ejpam.v18i2.5869	ADJ
ejpam-5869	14	4	email	email	NOUN
ejpam-5869	14	5	addresses	address	NOUN
ejpam-5869	14	6	:	:	PUNCT
ejpam-5869	14	7	tmsaman@uqu.edu.sa	tmsaman@uqu.edu.sa	PROPN
ejpam-5869	14	8	(	(	PUNCT
ejpam-5869	14	9	t.m	t.m	PROPN
ejpam-5869	14	10	.	.	PROPN
ejpam-5869	14	11	seoudy	seoudy	PROPN
ejpam-5869	14	12	)	)	PUNCT
ejpam-5869	14	13	,	,	PUNCT
ejpam-5869	14	14	aeshamakhi@jazan.edu.sa	aeshamakhi@jazan.edu.sa	PROPN
ejpam-5869	14	15	(	(	PUNCT
ejpam-5869	14	16	a.e	a.e	PROPN
ejpam-5869	14	17	.	.	PROPN
ejpam-5869	14	18	shammaky	shammaky	PROPN
ejpam-5869	14	19	)	)	PUNCT
ejpam-5869	14	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5869	15	1	1	1	NUM
ejpam-5869	15	2	copyright	copyright	NOUN
ejpam-5869	15	3	:	:	PUNCT
ejpam-5869	15	4	©	©	PROPN
ejpam-5869	15	5	2025	2025	NUM
ejpam-5869	15	6	the	the	DET
ejpam-5869	15	7	author(s	author(s	NOUN
ejpam-5869	15	8	)	)	PUNCT
ejpam-5869	15	9	.	.	PUNCT
ejpam-5869	16	1	(	(	PUNCT
ejpam-5869	16	2	cc	cc	NOUN
ejpam-5869	16	3	by	by	ADP
ejpam-5869	16	4	-	-	PUNCT
ejpam-5869	16	5	nc	nc	PROPN
ejpam-5869	16	6	4.0	4.0	NUM
ejpam-5869	16	7	)	)	PUNCT
ejpam-5869	16	8	t.m	t.m	PROPN
ejpam-5869	16	9	.	.	PROPN
ejpam-5869	16	10	seoudy	seoudy	PROPN
ejpam-5869	16	11	,	,	PUNCT
ejpam-5869	16	12	a.e	a.e	PROPN
ejpam-5869	16	13	.	.	PROPN
ejpam-5869	16	14	shammaky	shammaky	PROPN
ejpam-5869	16	15	/	/	SYM
ejpam-5869	16	16	eur	eur	PROPN
ejpam-5869	16	17	.	.	PUNCT
ejpam-5869	17	1	j.	j.	PROPN
ejpam-5869	17	2	pure	pure	PROPN
ejpam-5869	17	3	appl	appl	PROPN
ejpam-5869	17	4	.	.	PROPN
ejpam-5869	17	5	math	math	PROPN
ejpam-5869	17	6	,	,	PUNCT
ejpam-5869	17	7	18	18	NUM
ejpam-5869	17	8	(	(	PUNCT
ejpam-5869	17	9	2	2	NUM
ejpam-5869	17	10	)	)	PUNCT
ejpam-5869	17	11	(	(	PUNCT
ejpam-5869	17	12	2025	2025	NUM
ejpam-5869	17	13	)	)	PUNCT
ejpam-5869	17	14	,	,	PUNCT
ejpam-5869	17	15	5869	5869	NUM
ejpam-5869	17	16	2	2	NUM
ejpam-5869	17	17	of	of	ADP
ejpam-5869	17	18	14	14	NUM
ejpam-5869	17	19	which	which	PRON
ejpam-5869	17	20	are	be	AUX
ejpam-5869	17	21	p	p	NOUN
ejpam-5869	17	22	-	-	PUNCT
ejpam-5869	17	23	valent	valent	NOUN
ejpam-5869	17	24	in	in	ADP
ejpam-5869	17	25	u	u	NOUN
ejpam-5869	17	26	with	with	ADP
ejpam-5869	17	27	ap	ap	PROPN
ejpam-5869	17	28	=	=	SYM
ejpam-5869	17	29	a.	a.	NOUN
ejpam-5869	17	30	sokól	sokól	PROPN
ejpam-5869	17	31	and	and	CCONJ
ejpam-5869	17	32	stankiewicz	stankiewicz	VERB
ejpam-5869	18	1	[	[	X
ejpam-5869	18	2	3	3	X
ejpam-5869	18	3	]	]	PUNCT
ejpam-5869	18	4	defined	define	VERB
ejpam-5869	18	5	the	the	DET
ejpam-5869	18	6	class	class	NOUN
ejpam-5869	18	7	sl∗	sl∗	ADJ
ejpam-5869	18	8	consisting	consist	VERB
ejpam-5869	18	9	of	of	ADP
ejpam-5869	18	10	analytic	analytic	ADJ
ejpam-5869	18	11	functions	function	NOUN
ejpam-5869	18	12	χ	χ	X
ejpam-5869	18	13	∈	∈	PROPN
ejpam-5869	18	14	a	a	DET
ejpam-5869	18	15	satisfying	satisfying	NOUN
ejpam-5869	18	16	the	the	DET
ejpam-5869	18	17	next	next	ADJ
ejpam-5869	18	18	inequality∣∣∣∣∣	inequality∣∣∣∣∣	PROPN
ejpam-5869	18	19	[	[	PUNCT
ejpam-5869	18	20	ξχ′	ξχ′	PROPN
ejpam-5869	18	21	(	(	PUNCT
ejpam-5869	18	22	ξ	ξ	NOUN
ejpam-5869	18	23	)	)	PUNCT
ejpam-5869	18	24	χ	χ	PROPN
ejpam-5869	18	25	(	(	PUNCT
ejpam-5869	18	26	ξ	ξ	NOUN
ejpam-5869	18	27	)	)	PUNCT
ejpam-5869	18	28	]	]	PUNCT
ejpam-5869	18	29	2	2	NUM
ejpam-5869	18	30	−	−	NOUN
ejpam-5869	18	31	1	1	NUM
ejpam-5869	18	32	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-5869	18	33	<	<	X
ejpam-5869	18	34	1	1	NUM
ejpam-5869	18	35	,	,	PUNCT
ejpam-5869	18	36	which	which	PRON
ejpam-5869	18	37	is	be	AUX
ejpam-5869	18	38	equivalent	equivalent	ADJ
ejpam-5869	18	39	to	to	ADP
ejpam-5869	18	40	ξχ′	ξχ′	PROPN
ejpam-5869	18	41	(	(	PUNCT
ejpam-5869	18	42	ξ	ξ	NOUN
ejpam-5869	18	43	)	)	PUNCT
ejpam-5869	18	44	χ	χ	PROPN
ejpam-5869	18	45	(	(	PUNCT
ejpam-5869	18	46	ξ	ξ	NOUN
ejpam-5869	18	47	)	)	PUNCT
ejpam-5869	18	48	≺	≺	NOUN
ejpam-5869	18	49	q	q	X
ejpam-5869	18	50	(	(	PUNCT
ejpam-5869	18	51	ξ	ξ	NOUN
ejpam-5869	18	52	)	)	PUNCT
ejpam-5869	18	53	=	=	SYM
ejpam-5869	19	1	√	√	ADP
ejpam-5869	19	2	1	1	NUM
ejpam-5869	20	1	+	+	SYM
ejpam-5869	20	2	ξ	ξ	X
ejpam-5869	20	3	where	where	SCONJ
ejpam-5869	20	4	the	the	DET
ejpam-5869	20	5	function	function	NOUN
ejpam-5869	20	6	q	q	X
ejpam-5869	20	7	(	(	PUNCT
ejpam-5869	20	8	ξ	ξ	NOUN
ejpam-5869	20	9	)	)	PUNCT
ejpam-5869	20	10	=	=	SYM
ejpam-5869	21	1	√	√	ADP
ejpam-5869	21	2	1	1	NUM
ejpam-5869	22	1	+	+	SYM
ejpam-5869	22	2	ξ	ξ	X
ejpam-5869	22	3	(	(	PUNCT
ejpam-5869	22	4	ξ	ξ	PROPN
ejpam-5869	22	5	∈	∈	PROPN
ejpam-5869	22	6	u	u	NOUN
ejpam-5869	22	7	)	)	PUNCT
ejpam-5869	22	8	(	(	PUNCT
ejpam-5869	22	9	2	2	X
ejpam-5869	22	10	)	)	PUNCT
ejpam-5869	22	11	maps	map	VERB
ejpam-5869	22	12	u	u	NOUN
ejpam-5869	22	13	into	into	ADP
ejpam-5869	22	14	the	the	DET
ejpam-5869	22	15	domain	domain	NOUN
ejpam-5869	22	16	o	o	NOUN
ejpam-5869	22	17	=	=	PUNCT
ejpam-5869	22	18	{	{	PUNCT
ejpam-5869	22	19	w	w	PROPN
ejpam-5869	22	20	∈	∈	PROPN
ejpam-5869	22	21	c	c	NOUN
ejpam-5869	22	22	:	:	PUNCT
ejpam-5869	22	23	ℜ{w	ℜ{w	NOUN
ejpam-5869	22	24	}	}	PUNCT
ejpam-5869	22	25	>	>	X
ejpam-5869	22	26	0	0	NUM
ejpam-5869	22	27	,	,	PUNCT
ejpam-5869	22	28	∣∣w2	∣∣w2	ADJ
ejpam-5869	22	29	−	−	PROPN
ejpam-5869	22	30	1	1	NUM
ejpam-5869	22	31	∣∣	∣∣	X
ejpam-5869	22	32	<	<	X
ejpam-5869	22	33	1	1	NUM
ejpam-5869	22	34	}	}	PUNCT
ejpam-5869	22	35	and	and	CCONJ
ejpam-5869	22	36	its	its	PRON
ejpam-5869	22	37	boundary	boundary	ADJ
ejpam-5869	22	38	∂o	∂o	PROPN
ejpam-5869	22	39	is	be	AUX
ejpam-5869	22	40	the	the	DET
ejpam-5869	22	41	right	right	ADJ
ejpam-5869	22	42	-	-	PUNCT
ejpam-5869	22	43	half	half	NOUN
ejpam-5869	22	44	of	of	ADP
ejpam-5869	22	45	the	the	DET
ejpam-5869	22	46	lemniscate	lemniscate	NOUN
ejpam-5869	22	47	of	of	ADP
ejpam-5869	22	48	bernoulli	bernoulli	PROPN
ejpam-5869	22	49	(	(	PUNCT
ejpam-5869	22	50	x2	x2	PROPN
ejpam-5869	22	51	+	+	CCONJ
ejpam-5869	23	1	y2	y2	INTJ
ejpam-5869	23	2	)	)	PUNCT
ejpam-5869	23	3	2−2	2−2	NUM
ejpam-5869	23	4	(	(	PUNCT
ejpam-5869	23	5	x2	x2	INTJ
ejpam-5869	23	6	−	−	PROPN
ejpam-5869	24	1	y2	y2	NOUN
ejpam-5869	24	2	)	)	PUNCT
ejpam-5869	25	1	=	=	PUNCT
ejpam-5869	25	2	0	0	X
ejpam-5869	25	3	.	.	PUNCT
ejpam-5869	26	1	several	several	ADJ
ejpam-5869	26	2	geometric	geometric	ADJ
ejpam-5869	26	3	properties	property	NOUN
ejpam-5869	26	4	of	of	ADP
ejpam-5869	26	5	sl∗	sl∗	ADJ
ejpam-5869	26	6	were	be	AUX
ejpam-5869	26	7	studied	study	VERB
ejpam-5869	26	8	by	by	ADP
ejpam-5869	26	9	many	many	ADJ
ejpam-5869	26	10	authors	author	NOUN
ejpam-5869	26	11	(	(	PUNCT
ejpam-5869	26	12	see	see	VERB
ejpam-5869	26	13	,	,	PUNCT
ejpam-5869	26	14	for	for	ADP
ejpam-5869	26	15	example	example	NOUN
ejpam-5869	26	16	,	,	PUNCT
ejpam-5869	27	1	[	[	X
ejpam-5869	27	2	4–7	4–7	NOUN
ejpam-5869	27	3	]	]	X
ejpam-5869	27	4	)	)	PUNCT
ejpam-5869	27	5	.	.	PUNCT
ejpam-5869	28	1	using	use	VERB
ejpam-5869	28	2	the	the	DET
ejpam-5869	28	3	principle	principle	NOUN
ejpam-5869	28	4	of	of	ADP
ejpam-5869	28	5	differential	differential	ADJ
ejpam-5869	28	6	subordination	subordination	NOUN
ejpam-5869	28	7	and	and	CCONJ
ejpam-5869	28	8	the	the	DET
ejpam-5869	28	9	function	function	NOUN
ejpam-5869	28	10	q	q	PROPN
ejpam-5869	28	11	(	(	PUNCT
ejpam-5869	28	12	ξ	ξ	NOUN
ejpam-5869	28	13	)	)	PUNCT
ejpam-5869	28	14	=	=	SYM
ejpam-5869	29	1	√	√	ADP
ejpam-5869	29	2	1	1	NUM
ejpam-5869	30	1	+	+	SYM
ejpam-5869	30	2	ξ	ξ	PROPN
ejpam-5869	30	3	of	of	ADP
ejpam-5869	30	4	the	the	DET
ejpam-5869	30	5	bernoulli	bernoulli	PROPN
ejpam-5869	30	6	domain	domain	NOUN
ejpam-5869	30	7	of	of	ADP
ejpam-5869	30	8	lemniscate	lemniscate	PROPN
ejpam-5869	30	9	,	,	PUNCT
ejpam-5869	30	10	we	we	PRON
ejpam-5869	30	11	now	now	ADV
ejpam-5869	30	12	define	define	VERB
ejpam-5869	30	13	a	a	DET
ejpam-5869	30	14	new	new	ADJ
ejpam-5869	30	15	subclass	subclass	NOUN
ejpam-5869	30	16	bn	bn	ADP
ejpam-5869	30	17	p	p	X
ejpam-5869	30	18	(	(	PUNCT
ejpam-5869	30	19	λ	λ	PROPN
ejpam-5869	30	20	,	,	PUNCT
ejpam-5869	30	21	α	α	X
ejpam-5869	30	22	,	,	PUNCT
ejpam-5869	30	23	β	β	NOUN
ejpam-5869	30	24	)	)	PUNCT
ejpam-5869	30	25	of	of	ADP
ejpam-5869	30	26	bazilevič	bazilevič	NOUN
ejpam-5869	30	27	and	and	CCONJ
ejpam-5869	30	28	non	non	ADJ
ejpam-5869	30	29	-	-	ADJ
ejpam-5869	30	30	bazilevič	bazilevič	ADJ
ejpam-5869	30	31	functions	function	NOUN
ejpam-5869	30	32	as	as	SCONJ
ejpam-5869	30	33	follows	follow	VERB
ejpam-5869	30	34	:	:	PUNCT
ejpam-5869	30	35	definition	definition	NOUN
ejpam-5869	30	36	1	1	NUM
ejpam-5869	30	37	.	.	PUNCT
ejpam-5869	31	1	a	a	DET
ejpam-5869	31	2	function	function	NOUN
ejpam-5869	31	3	χ	χ	PROPN
ejpam-5869	31	4	∈	∈	PROPN
ejpam-5869	31	5	ap	ap	PROPN
ejpam-5869	31	6	is	be	AUX
ejpam-5869	31	7	said	say	VERB
ejpam-5869	31	8	to	to	PART
ejpam-5869	31	9	be	be	AUX
ejpam-5869	31	10	the	the	DET
ejpam-5869	31	11	subclass	subclass	NOUN
ejpam-5869	31	12	bn	bn	ADP
ejpam-5869	31	13	p	p	X
ejpam-5869	31	14	(	(	PUNCT
ejpam-5869	31	15	λ	λ	PROPN
ejpam-5869	31	16	,	,	PUNCT
ejpam-5869	31	17	α	α	X
ejpam-5869	31	18	,	,	PUNCT
ejpam-5869	31	19	β	β	NOUN
ejpam-5869	31	20	)	)	PUNCT
ejpam-5869	31	21	when	when	SCONJ
ejpam-5869	31	22	it	it	PRON
ejpam-5869	31	23	satisfies	satisfy	VERB
ejpam-5869	31	24	the	the	DET
ejpam-5869	31	25	next	next	ADJ
ejpam-5869	31	26	subordination	subordination	NOUN
ejpam-5869	31	27	condition	condition	NOUN
ejpam-5869	31	28	:(	:(	X
ejpam-5869	32	1	1−	1−	NUM
ejpam-5869	32	2	α−	α−	ADP
ejpam-5869	32	3	β	β	X
ejpam-5869	32	4	α+	α+	X
ejpam-5869	32	5	β	β	X
ejpam-5869	32	6	λ	λ	NOUN
ejpam-5869	32	7	)	)	PUNCT
ejpam-5869	32	8	[	[	PUNCT
ejpam-5869	32	9	χ	χ	X
ejpam-5869	32	10	(	(	PUNCT
ejpam-5869	32	11	ξ	ξ	NOUN
ejpam-5869	32	12	)	)	PUNCT
ejpam-5869	32	13	ξp	ξp	ADP
ejpam-5869	32	14	]	]	PUNCT
ejpam-5869	32	15	α−β	α−β	X
ejpam-5869	32	16	+	+	CCONJ
ejpam-5869	33	1	α−	α−	ADP
ejpam-5869	33	2	β	β	X
ejpam-5869	33	3	α+	α+	X
ejpam-5869	33	4	β	β	PUNCT
ejpam-5869	33	5	λ	λ	X
ejpam-5869	33	6	ξχ′	ξχ′	PROPN
ejpam-5869	33	7	(	(	PUNCT
ejpam-5869	33	8	ξ	ξ	NOUN
ejpam-5869	33	9	)	)	PUNCT
ejpam-5869	33	10	pχ	pχ	PROPN
ejpam-5869	33	11	(	(	PUNCT
ejpam-5869	33	12	ξ	ξ	NOUN
ejpam-5869	33	13	)	)	PUNCT
ejpam-5869	33	14	[	[	PUNCT
ejpam-5869	33	15	χ	χ	X
ejpam-5869	33	16	(	(	PUNCT
ejpam-5869	33	17	ξ	ξ	NOUN
ejpam-5869	33	18	)	)	PUNCT
ejpam-5869	33	19	ξp	ξp	ADP
ejpam-5869	33	20	]	]	PUNCT
ejpam-5869	33	21	α−β	α−β	NOUN
ejpam-5869	33	22	≺	≺	NOUN
ejpam-5869	33	23	√	√	VERB
ejpam-5869	33	24	1	1	NUM
ejpam-5869	34	1	+	+	SYM
ejpam-5869	34	2	ξ	ξ	X
ejpam-5869	34	3	(	(	PUNCT
ejpam-5869	34	4	3	3	NUM
ejpam-5869	34	5	)	)	PUNCT
ejpam-5869	34	6	all	all	DET
ejpam-5869	34	7	the	the	DET
ejpam-5869	34	8	powers	power	NOUN
ejpam-5869	34	9	are	be	AUX
ejpam-5869	34	10	principal	principal	ADJ
ejpam-5869	34	11	values	value	NOUN
ejpam-5869	34	12	and	and	CCONJ
ejpam-5869	34	13	throughout	throughout	ADP
ejpam-5869	34	14	the	the	DET
ejpam-5869	34	15	paper	paper	NOUN
ejpam-5869	34	16	unless	unless	SCONJ
ejpam-5869	34	17	otherwise	otherwise	ADV
ejpam-5869	34	18	mentioned	mention	VERB
ejpam-5869	34	19	the	the	DET
ejpam-5869	34	20	real	real	ADJ
ejpam-5869	34	21	parameters	parameter	NOUN
ejpam-5869	34	22	λ	λ	PROPN
ejpam-5869	34	23	,	,	PUNCT
ejpam-5869	34	24	α	α	X
ejpam-5869	34	25	,	,	PUNCT
ejpam-5869	34	26	β	β	X
ejpam-5869	34	27	are	be	AUX
ejpam-5869	34	28	constrained	constrain	VERB
ejpam-5869	34	29	as	as	ADP
ejpam-5869	34	30	α	α	PROPN
ejpam-5869	34	31	̸=	̸=	PROPN
ejpam-5869	34	32	β	β	NOUN
ejpam-5869	34	33	,	,	PUNCT
ejpam-5869	34	34	p	p	PROPN
ejpam-5869	34	35	∈	∈	PROPN
ejpam-5869	34	36	n	n	NOUN
ejpam-5869	34	37	and	and	CCONJ
ejpam-5869	35	1	ξ	ξ	PROPN
ejpam-5869	35	2	∈	∈	NOUN
ejpam-5869	35	3	u.	u.	NOUN
ejpam-5869	35	4	we	we	PRON
ejpam-5869	35	5	note	note	VERB
ejpam-5869	35	6	that	that	SCONJ
ejpam-5869	35	7	(	(	PUNCT
ejpam-5869	35	8	i	i	NOUN
ejpam-5869	35	9	)	)	PUNCT
ejpam-5869	35	10	bn	bn	ADP
ejpam-5869	35	11	p	p	X
ejpam-5869	35	12	(	(	PUNCT
ejpam-5869	35	13	λ	λ	PROPN
ejpam-5869	35	14	,	,	PUNCT
ejpam-5869	35	15	α	α	NOUN
ejpam-5869	35	16	,	,	PUNCT
ejpam-5869	35	17	0	0	NUM
ejpam-5869	35	18	)	)	PUNCT
ejpam-5869	35	19	=	=	SYM
ejpam-5869	35	20	bp	bp	PROPN
ejpam-5869	35	21	(	(	PUNCT
ejpam-5869	35	22	λ	λ	PROPN
ejpam-5869	35	23	,	,	PUNCT
ejpam-5869	35	24	α	α	NOUN
ejpam-5869	35	25	)	)	PUNCT
ejpam-5869	35	26	=	=	NOUN
ejpam-5869	35	27	{	{	PUNCT
ejpam-5869	35	28	χ	χ	PROPN
ejpam-5869	35	29	∈	∈	PROPN
ejpam-5869	35	30	ap	ap	PROPN
ejpam-5869	35	31	:	:	PUNCT
ejpam-5869	35	32	(	(	PUNCT
ejpam-5869	35	33	1−	1−	NUM
ejpam-5869	35	34	λ	λ	NOUN
ejpam-5869	35	35	)	)	PUNCT
ejpam-5869	35	36	(	(	PUNCT
ejpam-5869	35	37	χ(ξ	χ(ξ	PROPN
ejpam-5869	35	38	)	)	PUNCT
ejpam-5869	35	39	ξp	ξp	ADP
ejpam-5869	35	40	)	)	PUNCT
ejpam-5869	35	41	α	α	PROPN
ejpam-5869	35	42	+	+	PROPN
ejpam-5869	35	43	λ	λ	PROPN
ejpam-5869	35	44	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5869	35	45	)	)	PUNCT
ejpam-5869	35	46	pχ(ξ	pχ(ξ	PUNCT
ejpam-5869	35	47	)	)	PUNCT
ejpam-5869	35	48	(	(	PUNCT
ejpam-5869	35	49	χ(ξ	χ(ξ	NOUN
ejpam-5869	35	50	)	)	PUNCT
ejpam-5869	35	51	ξp	ξp	ADP
ejpam-5869	35	52	)	)	PUNCT
ejpam-5869	35	53	α	α	NOUN
ejpam-5869	35	54	≺	≺	NOUN
ejpam-5869	35	55	√	√	VERB
ejpam-5869	35	56	1	1	NUM
ejpam-5869	35	57	+	+	SYM
ejpam-5869	35	58	ξ	ξ	X
ejpam-5869	35	59	}	}	PUNCT
ejpam-5869	35	60	(	(	PUNCT
ejpam-5869	35	61	see	see	VERB
ejpam-5869	35	62	[	[	X
ejpam-5869	35	63	8	8	NUM
ejpam-5869	35	64	]	]	NUM
ejpam-5869	35	65	)	)	PUNCT
ejpam-5869	35	66	;	;	PUNCT
ejpam-5869	35	67	(	(	PUNCT
ejpam-5869	35	68	ii	ii	NOUN
ejpam-5869	35	69	)	)	PUNCT
ejpam-5869	35	70	bn	bn	ADP
ejpam-5869	35	71	p	p	PROPN
ejpam-5869	35	72	(	(	PUNCT
ejpam-5869	35	73	λ	λ	PROPN
ejpam-5869	35	74	,	,	PUNCT
ejpam-5869	35	75	0	0	NUM
ejpam-5869	35	76	,	,	PUNCT
ejpam-5869	35	77	β	β	X
ejpam-5869	35	78	)	)	PUNCT
ejpam-5869	35	79	=	=	SYM
ejpam-5869	36	1	np	np	INTJ
ejpam-5869	36	2	(	(	PUNCT
ejpam-5869	36	3	λ	λ	PROPN
ejpam-5869	36	4	,	,	PUNCT
ejpam-5869	36	5	β	β	X
ejpam-5869	36	6	)	)	PUNCT
ejpam-5869	36	7	=	=	SYM
ejpam-5869	36	8	{	{	PUNCT
ejpam-5869	36	9	χ	χ	PROPN
ejpam-5869	36	10	∈	∈	PROPN
ejpam-5869	36	11	ap	ap	PROPN
ejpam-5869	36	12	:	:	PUNCT
ejpam-5869	36	13	(	(	PUNCT
ejpam-5869	36	14	1	1	NUM
ejpam-5869	36	15	+	+	NUM
ejpam-5869	36	16	λ	λ	NOUN
ejpam-5869	36	17	)	)	PUNCT
ejpam-5869	36	18	(	(	PUNCT
ejpam-5869	36	19	ξp	ξp	NUM
ejpam-5869	36	20	χ(ξ	χ(ξ	NOUN
ejpam-5869	36	21	)	)	PUNCT
ejpam-5869	36	22	)	)	PUNCT
ejpam-5869	37	1	β	β	X
ejpam-5869	37	2	−	−	PROPN
ejpam-5869	37	3	λ	λ	PROPN
ejpam-5869	37	4	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5869	37	5	)	)	PUNCT
ejpam-5869	37	6	pχ(ξ	pχ(ξ	PUNCT
ejpam-5869	37	7	)	)	PUNCT
ejpam-5869	37	8	(	(	PUNCT
ejpam-5869	37	9	ξp	ξp	NUM
ejpam-5869	37	10	χ(ξ	χ(ξ	NOUN
ejpam-5869	37	11	)	)	PUNCT
ejpam-5869	37	12	)	)	PUNCT
ejpam-5869	38	1	β	β	NOUN
ejpam-5869	38	2	≺	≺	NOUN
ejpam-5869	38	3	√	√	VERB
ejpam-5869	38	4	1	1	NUM
ejpam-5869	38	5	+	+	SYM
ejpam-5869	38	6	ξ	ξ	PROPN
ejpam-5869	38	7	}	}	PUNCT
ejpam-5869	38	8	;	;	PUNCT
ejpam-5869	38	9	(	(	PUNCT
ejpam-5869	38	10	iii	iii	X
ejpam-5869	38	11	)	)	PUNCT
ejpam-5869	38	12	bn	bn	NOUN
ejpam-5869	38	13	1	1	NUM
ejpam-5869	38	14	(	(	PUNCT
ejpam-5869	38	15	λ	λ	PROPN
ejpam-5869	38	16	,	,	PUNCT
ejpam-5869	38	17	α	α	NOUN
ejpam-5869	38	18	,	,	PUNCT
ejpam-5869	38	19	0	0	NUM
ejpam-5869	38	20	)	)	PUNCT
ejpam-5869	38	21	=	=	SYM
ejpam-5869	38	22	b	b	X
ejpam-5869	38	23	(	(	PUNCT
ejpam-5869	38	24	λ	λ	PROPN
ejpam-5869	38	25	,	,	PUNCT
ejpam-5869	38	26	α	α	NOUN
ejpam-5869	38	27	)	)	PUNCT
ejpam-5869	38	28	=	=	NOUN
ejpam-5869	38	29	{	{	PUNCT
ejpam-5869	38	30	χ	χ	PUNCT
ejpam-5869	38	31	∈	∈	PROPN
ejpam-5869	38	32	a	a	DET
ejpam-5869	38	33	:	:	PUNCT
ejpam-5869	38	34	(	(	PUNCT
ejpam-5869	38	35	1−	1−	NUM
ejpam-5869	38	36	λ	λ	NOUN
ejpam-5869	38	37	)	)	PUNCT
ejpam-5869	38	38	(	(	PUNCT
ejpam-5869	38	39	χ(ξ	χ(ξ	X
ejpam-5869	38	40	)	)	PUNCT
ejpam-5869	38	41	ξ	ξ	NOUN
ejpam-5869	38	42	)	)	PUNCT
ejpam-5869	38	43	α	α	PROPN
ejpam-5869	38	44	+	+	PROPN
ejpam-5869	38	45	λ	λ	PROPN
ejpam-5869	38	46	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5869	38	47	)	)	PUNCT
ejpam-5869	38	48	χ(ξ	χ(ξ	PROPN
ejpam-5869	38	49	)	)	PUNCT
ejpam-5869	38	50	(	(	PUNCT
ejpam-5869	38	51	χ(ξ	χ(ξ	X
ejpam-5869	38	52	)	)	PUNCT
ejpam-5869	38	53	ξ	ξ	NOUN
ejpam-5869	38	54	)	)	PUNCT
ejpam-5869	38	55	α	α	NOUN
ejpam-5869	38	56	≺	≺	NOUN
ejpam-5869	38	57	√	√	VERB
ejpam-5869	38	58	1	1	NUM
ejpam-5869	38	59	+	+	SYM
ejpam-5869	38	60	ξ	ξ	X
ejpam-5869	38	61	}	}	PUNCT
ejpam-5869	38	62	(	(	PUNCT
ejpam-5869	38	63	see	see	VERB
ejpam-5869	38	64	[	[	X
ejpam-5869	38	65	8	8	NUM
ejpam-5869	38	66	]	]	NUM
ejpam-5869	38	67	)	)	PUNCT
ejpam-5869	38	68	;	;	PUNCT
ejpam-5869	38	69	(	(	PUNCT
ejpam-5869	38	70	iv	iv	X
ejpam-5869	38	71	)	)	PUNCT
ejpam-5869	38	72	bn	bn	NOUN
ejpam-5869	38	73	1	1	NUM
ejpam-5869	38	74	(	(	PUNCT
ejpam-5869	38	75	λ	λ	PROPN
ejpam-5869	38	76	,	,	PUNCT
ejpam-5869	38	77	0	0	NUM
ejpam-5869	38	78	,	,	PUNCT
ejpam-5869	38	79	β	β	NOUN
ejpam-5869	38	80	)	)	PUNCT
ejpam-5869	38	81	=	=	SYM
ejpam-5869	38	82	n	n	CCONJ
ejpam-5869	38	83	(	(	PUNCT
ejpam-5869	38	84	λ	λ	PROPN
ejpam-5869	38	85	,	,	PUNCT
ejpam-5869	38	86	β	β	X
ejpam-5869	38	87	)	)	PUNCT
ejpam-5869	38	88	=	=	SYM
ejpam-5869	38	89	{	{	PUNCT
ejpam-5869	38	90	χ	χ	PUNCT
ejpam-5869	38	91	∈	∈	PROPN
ejpam-5869	38	92	a	a	DET
ejpam-5869	38	93	:	:	PUNCT
ejpam-5869	38	94	(	(	PUNCT
ejpam-5869	38	95	1	1	NUM
ejpam-5869	38	96	+	+	NUM
ejpam-5869	38	97	λ	λ	NOUN
ejpam-5869	38	98	)	)	PUNCT
ejpam-5869	38	99	(	(	PUNCT
ejpam-5869	38	100	ξ	ξ	X
ejpam-5869	38	101	χ(ξ	χ(ξ	NOUN
ejpam-5869	38	102	)	)	PUNCT
ejpam-5869	38	103	)	)	PUNCT
ejpam-5869	39	1	β	β	X
ejpam-5869	39	2	−	−	PROPN
ejpam-5869	39	3	λ	λ	PROPN
ejpam-5869	39	4	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5869	39	5	)	)	PUNCT
ejpam-5869	39	6	χ(ξ	χ(ξ	PROPN
ejpam-5869	39	7	)	)	PUNCT
ejpam-5869	39	8	(	(	PUNCT
ejpam-5869	39	9	ξ	ξ	X
ejpam-5869	39	10	χ(ξ	χ(ξ	NOUN
ejpam-5869	39	11	)	)	PUNCT
ejpam-5869	39	12	)	)	PUNCT
ejpam-5869	40	1	β	β	NOUN
ejpam-5869	40	2	≺	≺	NOUN
ejpam-5869	40	3	√	√	VERB
ejpam-5869	40	4	1	1	NUM
ejpam-5869	40	5	+	+	SYM
ejpam-5869	40	6	ξ	ξ	PROPN
ejpam-5869	40	7	}	}	PUNCT
ejpam-5869	40	8	;	;	PUNCT
ejpam-5869	40	9	(	(	PUNCT
ejpam-5869	40	10	v	v	NOUN
ejpam-5869	40	11	)	)	PUNCT
ejpam-5869	40	12	bn	bn	ADP
ejpam-5869	40	13	p	p	PROPN
ejpam-5869	40	14	(	(	PUNCT
ejpam-5869	40	15	λ	λ	PROPN
ejpam-5869	40	16	,	,	PUNCT
ejpam-5869	40	17	1	1	NUM
ejpam-5869	40	18	,	,	PUNCT
ejpam-5869	40	19	0	0	NUM
ejpam-5869	40	20	)	)	PUNCT
ejpam-5869	40	21	=	=	SYM
ejpam-5869	40	22	bp	bp	PROPN
ejpam-5869	40	23	(	(	PUNCT
ejpam-5869	40	24	λ	λ	NOUN
ejpam-5869	40	25	)	)	PUNCT
ejpam-5869	40	26	=	=	NOUN
ejpam-5869	40	27	{	{	PUNCT
ejpam-5869	40	28	χ	χ	PROPN
ejpam-5869	40	29	∈	∈	PROPN
ejpam-5869	40	30	ap	ap	PROPN
ejpam-5869	40	31	:	:	PUNCT
ejpam-5869	40	32	(	(	PUNCT
ejpam-5869	40	33	1−	1−	NUM
ejpam-5869	40	34	λ	λ	NOUN
ejpam-5869	40	35	)	)	PUNCT
ejpam-5869	40	36	χ(ξ	χ(ξ	PROPN
ejpam-5869	40	37	)	)	PUNCT
ejpam-5869	40	38	ξp	ξp	PROPN
ejpam-5869	40	39	+	+	NUM
ejpam-5869	40	40	λ	λ	X
ejpam-5869	40	41	χ′(ξ	χ′(ξ	ADJ
ejpam-5869	40	42	)	)	PUNCT
ejpam-5869	40	43	pξp−1	pξp−1	PROPN
ejpam-5869	40	44	≺	≺	NOUN
ejpam-5869	40	45	√	√	VERB
ejpam-5869	40	46	1	1	NUM
ejpam-5869	40	47	+	+	SYM
ejpam-5869	40	48	ξ	ξ	X
ejpam-5869	40	49	}	}	PUNCT
ejpam-5869	40	50	and	and	CCONJ
ejpam-5869	40	51	b1	b1	NOUN
ejpam-5869	40	52	(	(	PUNCT
ejpam-5869	40	53	λ	λ	NOUN
ejpam-5869	40	54	)	)	PUNCT
ejpam-5869	40	55	=	=	SYM
ejpam-5869	40	56	b	b	X
ejpam-5869	40	57	(	(	PUNCT
ejpam-5869	40	58	λ	λ	NOUN
ejpam-5869	40	59	)	)	PUNCT
ejpam-5869	40	60	=	=	NOUN
ejpam-5869	40	61	{	{	PUNCT
ejpam-5869	40	62	χ	χ	PUNCT
ejpam-5869	40	63	∈	∈	PROPN
ejpam-5869	40	64	a	a	DET
ejpam-5869	40	65	:	:	PUNCT
ejpam-5869	40	66	(	(	PUNCT
ejpam-5869	40	67	1−	1−	NUM
ejpam-5869	40	68	λ	λ	NOUN
ejpam-5869	40	69	)	)	PUNCT
ejpam-5869	40	70	χ(ξ	χ(ξ	NOUN
ejpam-5869	40	71	)	)	PUNCT
ejpam-5869	40	72	ξ	ξ	PROPN
ejpam-5869	41	1	+	+	NUM
ejpam-5869	41	2	λχ′	λχ′	ADJ
ejpam-5869	41	3	(	(	PUNCT
ejpam-5869	41	4	ξ	ξ	NOUN
ejpam-5869	41	5	)	)	PUNCT
ejpam-5869	41	6	≺	≺	NOUN
ejpam-5869	41	7	√	√	VERB
ejpam-5869	41	8	1	1	NUM
ejpam-5869	41	9	+	+	SYM
ejpam-5869	41	10	ξ	ξ	X
ejpam-5869	41	11	}	}	PUNCT
ejpam-5869	41	12	(	(	PUNCT
ejpam-5869	41	13	see	see	VERB
ejpam-5869	41	14	[	[	X
ejpam-5869	41	15	8	8	NUM
ejpam-5869	41	16	]	]	NUM
ejpam-5869	41	17	)	)	PUNCT
ejpam-5869	41	18	;	;	PUNCT
ejpam-5869	41	19	t.m	t.m	PROPN
ejpam-5869	41	20	.	.	PROPN
ejpam-5869	41	21	seoudy	seoudy	PROPN
ejpam-5869	41	22	,	,	PUNCT
ejpam-5869	41	23	a.e	a.e	PROPN
ejpam-5869	41	24	.	.	PROPN
ejpam-5869	41	25	shammaky	shammaky	PROPN
ejpam-5869	41	26	/	/	SYM
ejpam-5869	41	27	eur	eur	PROPN
ejpam-5869	41	28	.	.	PUNCT
ejpam-5869	42	1	j.	j.	PROPN
ejpam-5869	42	2	pure	pure	PROPN
ejpam-5869	42	3	appl	appl	PROPN
ejpam-5869	42	4	.	.	PROPN
ejpam-5869	42	5	math	math	PROPN
ejpam-5869	42	6	,	,	PUNCT
ejpam-5869	42	7	18	18	NUM
ejpam-5869	42	8	(	(	PUNCT
ejpam-5869	42	9	2	2	NUM
ejpam-5869	42	10	)	)	PUNCT
ejpam-5869	42	11	(	(	PUNCT
ejpam-5869	42	12	2025	2025	NUM
ejpam-5869	42	13	)	)	PUNCT
ejpam-5869	42	14	,	,	PUNCT
ejpam-5869	42	15	5869	5869	NUM
ejpam-5869	42	16	3	3	NUM
ejpam-5869	42	17	of	of	ADP
ejpam-5869	42	18	14	14	NUM
ejpam-5869	42	19	(	(	PUNCT
ejpam-5869	42	20	vi	vi	NOUN
ejpam-5869	42	21	)	)	PUNCT
ejpam-5869	42	22	bn	bn	ADP
ejpam-5869	42	23	p	p	PROPN
ejpam-5869	42	24	(	(	PUNCT
ejpam-5869	42	25	λ	λ	PROPN
ejpam-5869	42	26	,	,	PUNCT
ejpam-5869	42	27	0	0	NUM
ejpam-5869	42	28	,	,	PUNCT
ejpam-5869	42	29	1	1	NUM
ejpam-5869	42	30	)	)	PUNCT
ejpam-5869	42	31	=	=	NOUN
ejpam-5869	42	32	np	np	INTJ
ejpam-5869	42	33	(	(	PUNCT
ejpam-5869	42	34	λ	λ	NOUN
ejpam-5869	42	35	)	)	PUNCT
ejpam-5869	42	36	=	=	NOUN
ejpam-5869	42	37	{	{	PUNCT
ejpam-5869	42	38	χ	χ	PROPN
ejpam-5869	42	39	∈	∈	PROPN
ejpam-5869	42	40	ap	ap	PROPN
ejpam-5869	42	41	:	:	PUNCT
ejpam-5869	42	42	(	(	PUNCT
ejpam-5869	42	43	1	1	NUM
ejpam-5869	42	44	+	+	NUM
ejpam-5869	42	45	λ	λ	NOUN
ejpam-5869	42	46	)	)	PUNCT
ejpam-5869	42	47	ξp	ξp	X
ejpam-5869	42	48	χ(ξ	χ(ξ	NOUN
ejpam-5869	42	49	)	)	PUNCT
ejpam-5869	42	50	−	−	PROPN
ejpam-5869	42	51	λ	λ	PROPN
ejpam-5869	42	52	ξp+1χ′(ξ	ξp+1χ′(ξ	NOUN
ejpam-5869	42	53	)	)	PUNCT
ejpam-5869	42	54	pχ2(ξ	pχ2(ξ	NOUN
ejpam-5869	42	55	)	)	PUNCT
ejpam-5869	42	56	≺	≺	NOUN
ejpam-5869	42	57	√	√	VERB
ejpam-5869	42	58	1	1	NUM
ejpam-5869	42	59	+	+	SYM
ejpam-5869	42	60	ξ	ξ	PROPN
ejpam-5869	42	61	}	}	PUNCT
ejpam-5869	42	62	andn1	andn1	PROPN
ejpam-5869	42	63	(	(	PUNCT
ejpam-5869	42	64	λ	λ	NOUN
ejpam-5869	42	65	)	)	PUNCT
ejpam-5869	42	66	=	=	SYM
ejpam-5869	42	67	n	n	CCONJ
ejpam-5869	42	68	(	(	PUNCT
ejpam-5869	42	69	λ	λ	NOUN
ejpam-5869	42	70	)	)	PUNCT
ejpam-5869	42	71	=	=	NOUN
ejpam-5869	42	72	{	{	PUNCT
ejpam-5869	42	73	χ	χ	PUNCT
ejpam-5869	42	74	∈	∈	PROPN
ejpam-5869	42	75	a	a	DET
ejpam-5869	42	76	:	:	PUNCT
ejpam-5869	42	77	(	(	PUNCT
ejpam-5869	42	78	1	1	NUM
ejpam-5869	42	79	+	+	NUM
ejpam-5869	42	80	λ	λ	NOUN
ejpam-5869	42	81	)	)	PUNCT
ejpam-5869	42	82	ξ	ξ	X
ejpam-5869	42	83	χ(ξ	χ(ξ	PROPN
ejpam-5869	42	84	)	)	PUNCT
ejpam-5869	42	85	−	−	PROPN
ejpam-5869	42	86	λ	λ	SYM
ejpam-5869	42	87	ξ2χ′(ξ	ξ2χ′(ξ	PROPN
ejpam-5869	42	88	)	)	PUNCT
ejpam-5869	42	89	χ2(ξ	χ2(ξ	PROPN
ejpam-5869	42	90	)	)	PUNCT
ejpam-5869	42	91	≺	≺	NOUN
ejpam-5869	42	92	√	√	VERB
ejpam-5869	42	93	1	1	NUM
ejpam-5869	42	94	+	+	SYM
ejpam-5869	42	95	ξ	ξ	PROPN
ejpam-5869	42	96	}	}	PUNCT
ejpam-5869	42	97	;	;	PUNCT
ejpam-5869	42	98	(	(	PUNCT
ejpam-5869	42	99	vii	vii	PROPN
ejpam-5869	42	100	)	)	PUNCT
ejpam-5869	42	101	bn	bn	ADP
ejpam-5869	43	1	p	p	NOUN
ejpam-5869	43	2	(	(	PUNCT
ejpam-5869	43	3	1	1	NUM
ejpam-5869	43	4	,	,	PUNCT
ejpam-5869	43	5	α	α	NOUN
ejpam-5869	43	6	,	,	PUNCT
ejpam-5869	43	7	0	0	NUM
ejpam-5869	43	8	)	)	PUNCT
ejpam-5869	43	9	=	=	SYM
ejpam-5869	43	10	bp	bp	PROPN
ejpam-5869	43	11	(	(	PUNCT
ejpam-5869	43	12	α	α	NOUN
ejpam-5869	43	13	)	)	PUNCT
ejpam-5869	43	14	=	=	NOUN
ejpam-5869	43	15	{	{	PUNCT
ejpam-5869	43	16	χ	χ	PROPN
ejpam-5869	43	17	∈	∈	PROPN
ejpam-5869	43	18	ap	ap	PROPN
ejpam-5869	43	19	:	:	PUNCT
ejpam-5869	43	20	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5869	43	21	)	)	PUNCT
ejpam-5869	43	22	pχ(ξ	pχ(ξ	PUNCT
ejpam-5869	43	23	)	)	PUNCT
ejpam-5869	43	24	(	(	PUNCT
ejpam-5869	43	25	χ(ξ	χ(ξ	NOUN
ejpam-5869	43	26	)	)	PUNCT
ejpam-5869	43	27	ξp	ξp	ADP
ejpam-5869	43	28	)	)	PUNCT
ejpam-5869	43	29	α	α	NOUN
ejpam-5869	43	30	≺	≺	NOUN
ejpam-5869	43	31	√	√	VERB
ejpam-5869	43	32	1	1	NUM
ejpam-5869	43	33	+	+	SYM
ejpam-5869	43	34	ξ	ξ	X
ejpam-5869	43	35	}	}	PUNCT
ejpam-5869	43	36	and	and	CCONJ
ejpam-5869	43	37	b1	b1	NOUN
ejpam-5869	43	38	(	(	PUNCT
ejpam-5869	43	39	α	α	NOUN
ejpam-5869	43	40	)	)	PUNCT
ejpam-5869	43	41	=	=	SYM
ejpam-5869	43	42	b	b	PROPN
ejpam-5869	43	43	(	(	PUNCT
ejpam-5869	43	44	α	α	NOUN
ejpam-5869	43	45	)	)	PUNCT
ejpam-5869	43	46	=	=	NOUN
ejpam-5869	43	47	{	{	PUNCT
ejpam-5869	43	48	χ	χ	PROPN
ejpam-5869	43	49	∈	∈	PROPN
ejpam-5869	43	50	a	a	DET
ejpam-5869	43	51	:	:	PUNCT
ejpam-5869	43	52	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5869	43	53	)	)	PUNCT
ejpam-5869	43	54	χ(ξ	χ(ξ	PROPN
ejpam-5869	43	55	)	)	PUNCT
ejpam-5869	43	56	(	(	PUNCT
ejpam-5869	43	57	χ(ξ	χ(ξ	X
ejpam-5869	43	58	)	)	PUNCT
ejpam-5869	43	59	ξ	ξ	NOUN
ejpam-5869	43	60	)	)	PUNCT
ejpam-5869	43	61	α	α	NOUN
ejpam-5869	43	62	≺	≺	NOUN
ejpam-5869	43	63	√	√	VERB
ejpam-5869	43	64	1	1	NUM
ejpam-5869	43	65	+	+	SYM
ejpam-5869	43	66	ξ	ξ	X
ejpam-5869	43	67	}	}	PUNCT
ejpam-5869	43	68	(	(	PUNCT
ejpam-5869	43	69	see	see	VERB
ejpam-5869	43	70	[	[	X
ejpam-5869	43	71	8	8	NUM
ejpam-5869	43	72	]	]	NUM
ejpam-5869	43	73	)	)	PUNCT
ejpam-5869	43	74	;	;	PUNCT
ejpam-5869	43	75	(	(	PUNCT
ejpam-5869	43	76	viii	viii	NOUN
ejpam-5869	43	77	)	)	PUNCT
ejpam-5869	43	78	bn	bn	NOUN
ejpam-5869	44	1	p	p	NOUN
ejpam-5869	45	1	(	(	PUNCT
ejpam-5869	45	2	−1	−1	NOUN
ejpam-5869	45	3	,	,	PUNCT
ejpam-5869	45	4	0	0	NUM
ejpam-5869	45	5	,	,	PUNCT
ejpam-5869	45	6	β	β	X
ejpam-5869	45	7	)	)	PUNCT
ejpam-5869	46	1	=	=	SYM
ejpam-5869	46	2	np	np	INTJ
ejpam-5869	46	3	(	(	PUNCT
ejpam-5869	46	4	β	β	NOUN
ejpam-5869	46	5	)	)	PUNCT
ejpam-5869	46	6	=	=	SYM
ejpam-5869	46	7	{	{	PUNCT
ejpam-5869	46	8	χ	χ	PROPN
ejpam-5869	46	9	∈	∈	PROPN
ejpam-5869	46	10	ap	ap	PROPN
ejpam-5869	46	11	:	:	PUNCT
ejpam-5869	46	12	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5869	46	13	)	)	PUNCT
ejpam-5869	46	14	pχ(ξ	pχ(ξ	PUNCT
ejpam-5869	46	15	)	)	PUNCT
ejpam-5869	46	16	(	(	PUNCT
ejpam-5869	46	17	ξp	ξp	NUM
ejpam-5869	46	18	χ(ξ	χ(ξ	NOUN
ejpam-5869	46	19	)	)	PUNCT
ejpam-5869	46	20	)	)	PUNCT
ejpam-5869	47	1	β	β	NOUN
ejpam-5869	47	2	≺	≺	NOUN
ejpam-5869	47	3	√	√	VERB
ejpam-5869	47	4	1	1	NUM
ejpam-5869	47	5	+	+	SYM
ejpam-5869	47	6	ξ	ξ	PROPN
ejpam-5869	47	7	}	}	PUNCT
ejpam-5869	47	8	andn1	andn1	PROPN
ejpam-5869	47	9	(	(	PUNCT
ejpam-5869	47	10	β	β	NOUN
ejpam-5869	47	11	)	)	PUNCT
ejpam-5869	47	12	=	=	SYM
ejpam-5869	47	13	n	n	X
ejpam-5869	47	14	(	(	PUNCT
ejpam-5869	47	15	β	β	NOUN
ejpam-5869	47	16	)	)	PUNCT
ejpam-5869	47	17	=	=	NOUN
ejpam-5869	47	18	{	{	PUNCT
ejpam-5869	47	19	χ	χ	PROPN
ejpam-5869	47	20	∈	∈	PROPN
ejpam-5869	47	21	a	a	DET
ejpam-5869	47	22	:	:	PUNCT
ejpam-5869	47	23	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5869	47	24	)	)	PUNCT
ejpam-5869	47	25	χ(ξ	χ(ξ	PROPN
ejpam-5869	47	26	)	)	PUNCT
ejpam-5869	47	27	(	(	PUNCT
ejpam-5869	47	28	ξ	ξ	X
ejpam-5869	47	29	χ(ξ	χ(ξ	NOUN
ejpam-5869	47	30	)	)	PUNCT
ejpam-5869	47	31	)	)	PUNCT
ejpam-5869	47	32	β	β	NOUN
ejpam-5869	47	33	≺	≺	NOUN
ejpam-5869	47	34	√	√	VERB
ejpam-5869	47	35	1	1	NUM
ejpam-5869	47	36	+	+	SYM
ejpam-5869	47	37	ξ	ξ	PROPN
ejpam-5869	47	38	}	}	PUNCT
ejpam-5869	47	39	;	;	PUNCT
ejpam-5869	47	40	(	(	PUNCT
ejpam-5869	47	41	ix	ix	X
ejpam-5869	47	42	)	)	PUNCT
ejpam-5869	47	43	bn	bn	NOUN
ejpam-5869	47	44	p	p	X
ejpam-5869	47	45	(	(	PUNCT
ejpam-5869	47	46	1	1	NUM
ejpam-5869	47	47	,	,	PUNCT
ejpam-5869	47	48	0	0	NUM
ejpam-5869	47	49	,	,	PUNCT
ejpam-5869	47	50	0	0	NUM
ejpam-5869	47	51	)	)	PUNCT
ejpam-5869	47	52	=	=	NOUN
ejpam-5869	47	53	sl∗	sl∗	ADJ
ejpam-5869	47	54	p	p	NOUN
ejpam-5869	47	55	=	=	PUNCT
ejpam-5869	47	56	{	{	PUNCT
ejpam-5869	47	57	χ	χ	PROPN
ejpam-5869	47	58	∈	∈	PROPN
ejpam-5869	47	59	ap	ap	PROPN
ejpam-5869	47	60	:	:	PUNCT
ejpam-5869	47	61	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5869	47	62	)	)	PUNCT
ejpam-5869	47	63	pχ(ξ	pχ(ξ	PUNCT
ejpam-5869	47	64	)	)	PUNCT
ejpam-5869	47	65	≺	≺	NOUN
ejpam-5869	47	66	√	√	VERB
ejpam-5869	47	67	1	1	NUM
ejpam-5869	47	68	+	+	SYM
ejpam-5869	47	69	ξ	ξ	X
ejpam-5869	47	70	}	}	PUNCT
ejpam-5869	47	71	and	and	CCONJ
ejpam-5869	47	72	sl∗	sl∗	ADJ
ejpam-5869	47	73	1	1	NUM
ejpam-5869	47	74	=	=	SYM
ejpam-5869	47	75	sl∗	sl∗	ADJ
ejpam-5869	47	76	=	=	NOUN
ejpam-5869	47	77	{	{	PUNCT
ejpam-5869	47	78	χ	χ	PUNCT
ejpam-5869	47	79	∈	∈	PROPN
ejpam-5869	47	80	a	a	DET
ejpam-5869	47	81	:	:	PUNCT
ejpam-5869	47	82	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5869	47	83	)	)	PUNCT
ejpam-5869	47	84	χ(ξ	χ(ξ	NOUN
ejpam-5869	47	85	)	)	PUNCT
ejpam-5869	47	86	≺	≺	NOUN
ejpam-5869	47	87	√	√	VERB
ejpam-5869	47	88	1	1	NUM
ejpam-5869	47	89	+	+	SYM
ejpam-5869	47	90	ξ	ξ	NOUN
ejpam-5869	47	91	}	}	PUNCT
ejpam-5869	47	92	.	.	PUNCT
ejpam-5869	48	1	in	in	ADP
ejpam-5869	48	2	order	order	NOUN
ejpam-5869	48	3	to	to	PART
ejpam-5869	48	4	establish	establish	VERB
ejpam-5869	48	5	our	our	PRON
ejpam-5869	48	6	main	main	ADJ
ejpam-5869	48	7	results	result	NOUN
ejpam-5869	48	8	,	,	PUNCT
ejpam-5869	48	9	we	we	PRON
ejpam-5869	48	10	need	need	VERB
ejpam-5869	48	11	the	the	DET
ejpam-5869	48	12	following	follow	VERB
ejpam-5869	48	13	lemmas	lemmas	NOUN
ejpam-5869	48	14	.	.	PUNCT
ejpam-5869	49	1	lemma	lemma	PROPN
ejpam-5869	49	2	1	1	NUM
ejpam-5869	49	3	.	.	PUNCT
ejpam-5869	50	1	[	[	X
ejpam-5869	50	2	9	9	NUM
ejpam-5869	50	3	]	]	PUNCT
ejpam-5869	50	4	let	let	AUX
ejpam-5869	50	5	h	h	PROPN
ejpam-5869	50	6	(	(	PUNCT
ejpam-5869	50	7	ξ	ξ	X
ejpam-5869	50	8	)	)	PUNCT
ejpam-5869	50	9	be	be	AUX
ejpam-5869	50	10	univalent	univalent	ADJ
ejpam-5869	50	11	and	and	CCONJ
ejpam-5869	50	12	convex	convex	VERB
ejpam-5869	50	13	the	the	DET
ejpam-5869	50	14	function	function	NOUN
ejpam-5869	50	15	in	in	ADP
ejpam-5869	50	16	u	u	NOUN
ejpam-5869	50	17	with	with	ADP
ejpam-5869	50	18	h	h	PROPN
ejpam-5869	50	19	(	(	PUNCT
ejpam-5869	50	20	0	0	NUM
ejpam-5869	50	21	)	)	PUNCT
ejpam-5869	50	22	=	=	SYM
ejpam-5869	51	1	1	1	X
ejpam-5869	51	2	.	.	PUNCT
ejpam-5869	51	3	suppose	suppose	VERB
ejpam-5869	51	4	also	also	ADV
ejpam-5869	51	5	that	that	SCONJ
ejpam-5869	51	6	ρ	ρ	PROPN
ejpam-5869	51	7	(	(	PUNCT
ejpam-5869	51	8	ξ	ξ	NOUN
ejpam-5869	51	9	)	)	PUNCT
ejpam-5869	51	10	given	give	VERB
ejpam-5869	51	11	by	by	ADP
ejpam-5869	51	12	ρ	ρ	PROPN
ejpam-5869	51	13	(	(	PUNCT
ejpam-5869	51	14	ξ	ξ	NOUN
ejpam-5869	51	15	)	)	PUNCT
ejpam-5869	51	16	=	=	SYM
ejpam-5869	51	17	1	1	NUM
ejpam-5869	51	18	+	+	CCONJ
ejpam-5869	51	19	c1ξ	c1ξ	NOUN
ejpam-5869	51	20	+	+	SYM
ejpam-5869	51	21	c2ξ	c2ξ	NOUN
ejpam-5869	51	22	2	2	NUM
ejpam-5869	51	23	+	+	CCONJ
ejpam-5869	51	24	...	...	PUNCT
ejpam-5869	51	25	(	(	PUNCT
ejpam-5869	51	26	4	4	X
ejpam-5869	51	27	)	)	PUNCT
ejpam-5869	51	28	is	be	AUX
ejpam-5869	51	29	analytic	analytic	ADJ
ejpam-5869	51	30	in	in	ADP
ejpam-5869	51	31	u.	u.	PROPN
ejpam-5869	52	1	if	if	SCONJ
ejpam-5869	52	2	ρ	ρ	PROPN
ejpam-5869	52	3	(	(	PUNCT
ejpam-5869	52	4	ξ	ξ	NOUN
ejpam-5869	52	5	)	)	PUNCT
ejpam-5869	52	6	+	+	CCONJ
ejpam-5869	52	7	ξρ′	ξρ′	NUM
ejpam-5869	52	8	(	(	PUNCT
ejpam-5869	52	9	ξ	ξ	NOUN
ejpam-5869	52	10	)	)	PUNCT
ejpam-5869	52	11	γ	γ	PROPN
ejpam-5869	52	12	≺	≺	NOUN
ejpam-5869	52	13	h	h	NOUN
ejpam-5869	52	14	(	(	PUNCT
ejpam-5869	52	15	ξ	ξ	NOUN
ejpam-5869	52	16	)	)	PUNCT
ejpam-5869	52	17	(	(	PUNCT
ejpam-5869	52	18	ℜ	ℜ	PROPN
ejpam-5869	52	19	(	(	PUNCT
ejpam-5869	52	20	γ	γ	NOUN
ejpam-5869	52	21	)	)	PUNCT
ejpam-5869	52	22	≥	≥	NOUN
ejpam-5869	52	23	0	0	NUM
ejpam-5869	52	24	;	;	PUNCT
ejpam-5869	52	25	γ	γ	PROPN
ejpam-5869	52	26	̸=	̸=	PROPN
ejpam-5869	52	27	0	0	NUM
ejpam-5869	52	28	;	;	PUNCT
ejpam-5869	52	29	ξ	ξ	PROPN
ejpam-5869	52	30	∈	∈	PROPN
ejpam-5869	52	31	u	u	NOUN
ejpam-5869	52	32	)	)	PUNCT
ejpam-5869	52	33	,	,	PUNCT
ejpam-5869	52	34	(	(	PUNCT
ejpam-5869	52	35	5	5	X
ejpam-5869	52	36	)	)	PUNCT
ejpam-5869	52	37	then	then	ADV
ejpam-5869	52	38	ρ	ρ	PROPN
ejpam-5869	52	39	(	(	PUNCT
ejpam-5869	52	40	ξ	ξ	NOUN
ejpam-5869	52	41	)	)	PUNCT
ejpam-5869	52	42	≺	≺	NOUN
ejpam-5869	52	43	q	q	X
ejpam-5869	52	44	(	(	PUNCT
ejpam-5869	52	45	ξ	ξ	NOUN
ejpam-5869	52	46	)	)	PUNCT
ejpam-5869	52	47	=	=	SYM
ejpam-5869	53	1	γξ−γ	γξ−γ	ADJ
ejpam-5869	53	2	∫	∫	X
ejpam-5869	53	3	ξ	ξ	SYM
ejpam-5869	53	4	0	0	NUM
ejpam-5869	53	5	h	h	PROPN
ejpam-5869	53	6	(	(	PUNCT
ejpam-5869	53	7	t	t	NOUN
ejpam-5869	53	8	)	)	PUNCT
ejpam-5869	53	9	tγ−1	tγ−1	NOUN
ejpam-5869	53	10	dt	dt	NOUN
ejpam-5869	53	11	≺	≺	NOUN
ejpam-5869	53	12	h	h	NOUN
ejpam-5869	53	13	(	(	PUNCT
ejpam-5869	53	14	ξ	ξ	NOUN
ejpam-5869	53	15	)	)	PUNCT
ejpam-5869	53	16	,	,	PUNCT
ejpam-5869	53	17	and	and	CCONJ
ejpam-5869	53	18	q	q	PROPN
ejpam-5869	53	19	(	(	PUNCT
ejpam-5869	53	20	ξ	ξ	NOUN
ejpam-5869	53	21	)	)	PUNCT
ejpam-5869	53	22	is	be	AUX
ejpam-5869	53	23	the	the	DET
ejpam-5869	53	24	best	good	ADJ
ejpam-5869	53	25	dominant	dominant	NOUN
ejpam-5869	53	26	.	.	PUNCT
ejpam-5869	54	1	lemma	lemma	PROPN
ejpam-5869	54	2	2	2	NUM
ejpam-5869	54	3	.	.	PUNCT
ejpam-5869	55	1	[	[	X
ejpam-5869	55	2	10	10	NUM
ejpam-5869	55	3	]	]	PUNCT
ejpam-5869	55	4	for	for	ADP
ejpam-5869	55	5	real	real	ADJ
ejpam-5869	55	6	or	or	CCONJ
ejpam-5869	55	7	complex	complex	ADJ
ejpam-5869	55	8	numbers	number	NOUN
ejpam-5869	55	9	a	a	DET
ejpam-5869	55	10	,	,	PUNCT
ejpam-5869	55	11	b	b	NOUN
ejpam-5869	55	12	,	,	PUNCT
ejpam-5869	55	13	c(c	c(c	PROPN
ejpam-5869	55	14	̸=	̸=	PROPN
ejpam-5869	55	15	0,−1,−2	0,−1,−2	NUM
ejpam-5869	55	16	,	,	PUNCT
ejpam-5869	55	17	...	...	PUNCT
ejpam-5869	55	18	)	)	PUNCT
ejpam-5869	55	19	and	and	CCONJ
ejpam-5869	55	20	ξ	ξ	X
ejpam-5869	55	21	∈	∈	NOUN
ejpam-5869	55	22	u,∫	u,∫	ADJ
ejpam-5869	55	23	1	1	NUM
ejpam-5869	55	24	0	0	NUM
ejpam-5869	55	25	tb−1(1−	tb−1(1−	NOUN
ejpam-5869	55	26	t)c−b−1(1−	t)c−b−1(1−	X
ejpam-5869	55	27	tξ)−adt	tξ)−adt	NOUN
ejpam-5869	55	28	=	=	SYM
ejpam-5869	55	29	γ(b)γ(c−b	γ(b)γ(c−b	NOUN
ejpam-5869	55	30	)	)	PUNCT
ejpam-5869	55	31	γ(c	γ(c	NUM
ejpam-5869	55	32	)	)	PUNCT
ejpam-5869	55	33	2ω1(a	2ω1(a	NUM
ejpam-5869	55	34	,	,	PUNCT
ejpam-5869	55	35	b	b	NOUN
ejpam-5869	55	36	;	;	PUNCT
ejpam-5869	55	37	c	c	X
ejpam-5869	55	38	;	;	PUNCT
ejpam-5869	55	39	ξ	ξ	X
ejpam-5869	55	40	)	)	PUNCT
ejpam-5869	55	41	(	(	PUNCT
ejpam-5869	55	42	ℜ(c	ℜ(c	NOUN
ejpam-5869	55	43	)	)	PUNCT
ejpam-5869	55	44	>	>	PUNCT
ejpam-5869	55	45	ℜ(b	ℜ(b	SYM
ejpam-5869	55	46	)	)	PUNCT
ejpam-5869	55	47	>	>	X
ejpam-5869	55	48	0	0	NUM
ejpam-5869	55	49	)	)	PUNCT
ejpam-5869	55	50	;	;	PUNCT
ejpam-5869	55	51	(	(	PUNCT
ejpam-5869	55	52	6	6	NUM
ejpam-5869	55	53	)	)	PUNCT
ejpam-5869	55	54	2ω1(a	2ω1(a	NUM
ejpam-5869	55	55	,	,	PUNCT
ejpam-5869	55	56	b	b	NOUN
ejpam-5869	55	57	;	;	PUNCT
ejpam-5869	55	58	c	c	X
ejpam-5869	55	59	;	;	PUNCT
ejpam-5869	55	60	ξ	ξ	X
ejpam-5869	55	61	)	)	PUNCT
ejpam-5869	55	62	=	=	SYM
ejpam-5869	55	63	(	(	PUNCT
ejpam-5869	55	64	1−	1−	NUM
ejpam-5869	55	65	ξ)−a	ξ)−a	NUM
ejpam-5869	55	66	2ω1	2ω1	NUM
ejpam-5869	55	67	(	(	PUNCT
ejpam-5869	55	68	a	a	PRON
ejpam-5869	55	69	,	,	PUNCT
ejpam-5869	55	70	c−	c−	PROPN
ejpam-5869	55	71	b	b	NOUN
ejpam-5869	55	72	;	;	PUNCT
ejpam-5869	55	73	c	c	X
ejpam-5869	55	74	;	;	PUNCT
ejpam-5869	55	75	ξ	ξ	PROPN
ejpam-5869	55	76	ξ	ξ	X
ejpam-5869	55	77	−	−	PROPN
ejpam-5869	55	78	1	1	NUM
ejpam-5869	55	79	)	)	PUNCT
ejpam-5869	55	80	;	;	PUNCT
ejpam-5869	55	81	(	(	PUNCT
ejpam-5869	55	82	7	7	X
ejpam-5869	55	83	)	)	PUNCT
ejpam-5869	55	84	lemma	lemma	PROPN
ejpam-5869	55	85	3	3	NUM
ejpam-5869	55	86	.	.	PUNCT
ejpam-5869	56	1	[	[	X
ejpam-5869	56	2	11	11	NUM
ejpam-5869	56	3	]	]	PUNCT
ejpam-5869	56	4	let	let	VERB
ejpam-5869	56	5	χ	χ	X
ejpam-5869	56	6	(	(	PUNCT
ejpam-5869	56	7	ξ	ξ	NOUN
ejpam-5869	56	8	)	)	PUNCT
ejpam-5869	56	9	=	=	NOUN
ejpam-5869	57	1	∞∑	∞∑	NUM
ejpam-5869	57	2	k=1	k=1	PRON
ejpam-5869	57	3	ϱkξ	ϱkξ	PROPN
ejpam-5869	58	1	k	k	PROPN
ejpam-5869	58	2	be	be	AUX
ejpam-5869	58	3	analytic	analytic	ADJ
ejpam-5869	58	4	in	in	ADP
ejpam-5869	58	5	u	u	NOUN
ejpam-5869	58	6	and	and	CCONJ
ejpam-5869	58	7	ρ	ρ	PROPN
ejpam-5869	58	8	(	(	PUNCT
ejpam-5869	58	9	ξ	ξ	NOUN
ejpam-5869	58	10	)	)	PUNCT
ejpam-5869	58	11	=	=	PUNCT
ejpam-5869	59	1	∞∑	∞∑	NUM
ejpam-5869	59	2	k=1	k=1	ADP
ejpam-5869	59	3	bkξ	bkξ	INTJ
ejpam-5869	59	4	k	k	AUX
ejpam-5869	59	5	be	be	VERB
ejpam-5869	59	6	analytic	analytic	ADJ
ejpam-5869	59	7	and	and	CCONJ
ejpam-5869	59	8	convex	convex	VERB
ejpam-5869	59	9	in	in	ADP
ejpam-5869	59	10	u.	u.	PROPN
ejpam-5869	59	11	if	if	SCONJ
ejpam-5869	59	12	χ	χ	PROPN
ejpam-5869	59	13	≺	≺	NOUN
ejpam-5869	59	14	ρ	ρ	NOUN
ejpam-5869	59	15	,	,	PUNCT
ejpam-5869	59	16	then	then	ADV
ejpam-5869	59	17	|ϱk|	|ϱk|	PROPN
ejpam-5869	59	18	<	<	X
ejpam-5869	59	19	|b1|	|b1|	NOUN
ejpam-5869	59	20	(	(	PUNCT
ejpam-5869	59	21	k	k	PROPN
ejpam-5869	59	22	∈	∈	PROPN
ejpam-5869	59	23	n	n	CCONJ
ejpam-5869	59	24	)	)	PUNCT
ejpam-5869	59	25	.	.	PUNCT
ejpam-5869	60	1	t.m	t.m	PROPN
ejpam-5869	60	2	.	.	PROPN
ejpam-5869	60	3	seoudy	seoudy	PROPN
ejpam-5869	60	4	,	,	PUNCT
ejpam-5869	60	5	a.e	a.e	PROPN
ejpam-5869	60	6	.	.	PROPN
ejpam-5869	60	7	shammaky	shammaky	PROPN
ejpam-5869	60	8	/	/	SYM
ejpam-5869	60	9	eur	eur	PROPN
ejpam-5869	60	10	.	.	PUNCT
ejpam-5869	61	1	j.	j.	PROPN
ejpam-5869	61	2	pure	pure	PROPN
ejpam-5869	61	3	appl	appl	PROPN
ejpam-5869	61	4	.	.	PROPN
ejpam-5869	61	5	math	math	PROPN
ejpam-5869	61	6	,	,	PUNCT
ejpam-5869	61	7	18	18	NUM
ejpam-5869	61	8	(	(	PUNCT
ejpam-5869	61	9	2	2	NUM
ejpam-5869	61	10	)	)	PUNCT
ejpam-5869	61	11	(	(	PUNCT
ejpam-5869	61	12	2025	2025	NUM
ejpam-5869	61	13	)	)	PUNCT
ejpam-5869	61	14	,	,	PUNCT
ejpam-5869	61	15	5869	5869	NUM
ejpam-5869	61	16	4	4	NUM
ejpam-5869	61	17	of	of	ADP
ejpam-5869	61	18	14	14	NUM
ejpam-5869	61	19	lemma	lemma	PROPN
ejpam-5869	61	20	4	4	NUM
ejpam-5869	61	21	.	.	PUNCT
ejpam-5869	62	1	[	[	X
ejpam-5869	62	2	12	12	NUM
ejpam-5869	62	3	]	]	PUNCT
ejpam-5869	62	4	let	let	VERB
ejpam-5869	62	5	ρ	ρ	PROPN
ejpam-5869	62	6	(	(	PUNCT
ejpam-5869	62	7	ξ	ξ	NOUN
ejpam-5869	62	8	)	)	PUNCT
ejpam-5869	62	9	=	=	SYM
ejpam-5869	63	1	1	1	NUM
ejpam-5869	63	2	+	+	CCONJ
ejpam-5869	63	3	∞∑	∞∑	NUM
ejpam-5869	63	4	k=1	k=1	PROPN
ejpam-5869	63	5	ckξ	ckξ	NOUN
ejpam-5869	63	6	k	k	PROPN
ejpam-5869	63	7	∈	∈	PROPN
ejpam-5869	63	8	p	p	X
ejpam-5869	63	9	,	,	PUNCT
ejpam-5869	63	10	i.e.	i.e.	X
ejpam-5869	63	11	,	,	PUNCT
ejpam-5869	63	12	let	let	VERB
ejpam-5869	63	13	ρ	ρ	PRON
ejpam-5869	63	14	be	be	AUX
ejpam-5869	63	15	analytic	analytic	ADJ
ejpam-5869	63	16	in	in	ADP
ejpam-5869	63	17	u	u	NOUN
ejpam-5869	63	18	and	and	CCONJ
ejpam-5869	63	19	satisfy	satisfy	VERB
ejpam-5869	63	20	ℜ{ρ	ℜ{ρ	NOUN
ejpam-5869	63	21	(	(	PUNCT
ejpam-5869	63	22	ξ	ξ	NOUN
ejpam-5869	63	23	)	)	PUNCT
ejpam-5869	63	24	}	}	PUNCT
ejpam-5869	63	25	>	>	X
ejpam-5869	63	26	0	0	PUNCT
ejpam-5869	64	1	for	for	ADP
ejpam-5869	64	2	ξ	ξ	PROPN
ejpam-5869	64	3	∈	∈	PROPN
ejpam-5869	64	4	u	u	NOUN
ejpam-5869	64	5	,	,	PUNCT
ejpam-5869	64	6	then	then	ADV
ejpam-5869	64	7	the	the	DET
ejpam-5869	64	8	following	follow	VERB
ejpam-5869	64	9	sharp	sharp	ADJ
ejpam-5869	64	10	estimate	estimate	NOUN
ejpam-5869	64	11	holds∣∣c2	holds∣∣c2	NOUN
ejpam-5869	64	12	−	−	PROPN
ejpam-5869	64	13	vc21	vc21	PROPN
ejpam-5869	64	14	∣∣	∣∣	PUNCT
ejpam-5869	64	15	≤	≤	ADV
ejpam-5869	64	16	2max	2max	NUM
ejpam-5869	64	17	{	{	PUNCT
ejpam-5869	64	18	1	1	NUM
ejpam-5869	64	19	,	,	PUNCT
ejpam-5869	64	20	|2v	|2v	PUNCT
ejpam-5869	64	21	−	−	PROPN
ejpam-5869	64	22	1|	1|	NUM
ejpam-5869	64	23	}	}	PUNCT
ejpam-5869	64	24	for	for	ADP
ejpam-5869	64	25	all	all	DET
ejpam-5869	64	26	v	v	ADP
ejpam-5869	64	27	∈	∈	PROPN
ejpam-5869	64	28	c.	c.	NOUN
ejpam-5869	64	29	(	(	PUNCT
ejpam-5869	64	30	8)	8)	NUM
ejpam-5869	64	31	the	the	DET
ejpam-5869	64	32	result	result	NOUN
ejpam-5869	64	33	is	be	AUX
ejpam-5869	64	34	sharp	sharp	ADJ
ejpam-5869	64	35	for	for	ADP
ejpam-5869	64	36	the	the	DET
ejpam-5869	64	37	functions	function	NOUN
ejpam-5869	64	38	given	give	VERB
ejpam-5869	64	39	by	by	ADP
ejpam-5869	64	40	ρ(ξ	ρ(ξ	NOUN
ejpam-5869	64	41	)	)	PUNCT
ejpam-5869	64	42	=	=	SYM
ejpam-5869	64	43	1	1	NUM
ejpam-5869	64	44	+	+	CCONJ
ejpam-5869	64	45	ξ2	ξ2	ADJ
ejpam-5869	64	46	1−	1−	NUM
ejpam-5869	64	47	ξ2	ξ2	NOUN
ejpam-5869	64	48	or	or	CCONJ
ejpam-5869	64	49	ρ(ξ	ρ(ξ	NOUN
ejpam-5869	64	50	)	)	PUNCT
ejpam-5869	64	51	=	=	SYM
ejpam-5869	64	52	1	1	NUM
ejpam-5869	64	53	+	+	SYM
ejpam-5869	64	54	ξ	ξ	PROPN
ejpam-5869	64	55	1−	1−	NUM
ejpam-5869	64	56	ξ	ξ	X
ejpam-5869	64	57	.	.	PUNCT
ejpam-5869	65	1	lemma	lemma	PROPN
ejpam-5869	65	2	5	5	NUM
ejpam-5869	65	3	.	.	PUNCT
ejpam-5869	66	1	[	[	X
ejpam-5869	66	2	12	12	NUM
ejpam-5869	66	3	]	]	X
ejpam-5869	66	4	if	if	SCONJ
ejpam-5869	66	5	ρ	ρ	PROPN
ejpam-5869	66	6	(	(	PUNCT
ejpam-5869	66	7	ξ	ξ	NOUN
ejpam-5869	66	8	)	)	PUNCT
ejpam-5869	66	9	=	=	SYM
ejpam-5869	66	10	1	1	NUM
ejpam-5869	66	11	+	+	CCONJ
ejpam-5869	66	12	∞∑	∞∑	NUM
ejpam-5869	67	1	k=1	k=1	PROPN
ejpam-5869	67	2	ckξ	ckξ	NOUN
ejpam-5869	67	3	k	k	PROPN
ejpam-5869	67	4	∈	∈	PROPN
ejpam-5869	67	5	p	p	X
ejpam-5869	67	6	,	,	PUNCT
ejpam-5869	67	7	then	then	ADV
ejpam-5869	67	8	∣∣c2	∣∣c2	ADJ
ejpam-5869	67	9	−	−	PROPN
ejpam-5869	67	10	νc21	νc21	PROPN
ejpam-5869	67	11	∣∣	∣∣	NUM
ejpam-5869	67	12	≤	≤	NUM
ejpam-5869	67	13			PUNCT
ejpam-5869	67	14	−4ν	−4ν	PROPN
ejpam-5869	67	15	+	+	CCONJ
ejpam-5869	67	16	2	2	NUM
ejpam-5869	67	17	if	if	SCONJ
ejpam-5869	67	18	ν	ν	NOUN
ejpam-5869	67	19	≤	≤	NOUN
ejpam-5869	67	20	0	0	NUM
ejpam-5869	67	21	,	,	PUNCT
ejpam-5869	67	22	2	2	NUM
ejpam-5869	67	23	if	if	SCONJ
ejpam-5869	67	24	0	0	NUM
ejpam-5869	67	25	≤	≤	NUM
ejpam-5869	67	26	ν	ν	NOUN
ejpam-5869	67	27	≤	≤	NUM
ejpam-5869	67	28	1	1	NUM
ejpam-5869	67	29	,	,	PUNCT
ejpam-5869	67	30	4ν	4ν	NUM
ejpam-5869	67	31	−	−	NOUN
ejpam-5869	67	32	2	2	NUM
ejpam-5869	67	33	if	if	SCONJ
ejpam-5869	67	34	ν	ν	NOUN
ejpam-5869	67	35	≥	≥	NOUN
ejpam-5869	67	36	1	1	NUM
ejpam-5869	67	37	,	,	PUNCT
ejpam-5869	67	38	(	(	PUNCT
ejpam-5869	67	39	9	9	X
ejpam-5869	67	40	)	)	PUNCT
ejpam-5869	67	41	when	when	SCONJ
ejpam-5869	67	42	v	v	ADP
ejpam-5869	67	43	<	<	X
ejpam-5869	67	44	0	0	NUM
ejpam-5869	67	45	or	or	CCONJ
ejpam-5869	67	46	ν	ν	X
ejpam-5869	67	47	>	>	X
ejpam-5869	67	48	1	1	NUM
ejpam-5869	67	49	,	,	PUNCT
ejpam-5869	67	50	the	the	DET
ejpam-5869	67	51	equality	equality	NOUN
ejpam-5869	67	52	holds	hold	VERB
ejpam-5869	67	53	if	if	SCONJ
ejpam-5869	67	54	and	and	CCONJ
ejpam-5869	67	55	only	only	ADV
ejpam-5869	67	56	if	if	SCONJ
ejpam-5869	67	57	ρ(ξ	ρ(ξ	NOUN
ejpam-5869	67	58	)	)	PUNCT
ejpam-5869	67	59	=	=	PUNCT
ejpam-5869	67	60	(	(	PUNCT
ejpam-5869	67	61	1	1	NUM
ejpam-5869	67	62	+	+	CCONJ
ejpam-5869	67	63	ξ)/(1−	ξ)/(1−	PRON
ejpam-5869	67	64	ξ	ξ	NOUN
ejpam-5869	67	65	)	)	PUNCT
ejpam-5869	67	66	or	or	CCONJ
ejpam-5869	67	67	one	one	NUM
ejpam-5869	67	68	of	of	ADP
ejpam-5869	67	69	its	its	PRON
ejpam-5869	67	70	rotations	rotation	NOUN
ejpam-5869	67	71	.	.	PUNCT
ejpam-5869	68	1	if	if	SCONJ
ejpam-5869	68	2	0	0	NUM
ejpam-5869	68	3	<	<	X
ejpam-5869	68	4	ν	ν	X
ejpam-5869	68	5	<	<	X
ejpam-5869	68	6	1	1	NUM
ejpam-5869	68	7	,	,	PUNCT
ejpam-5869	68	8	then	then	ADV
ejpam-5869	68	9	the	the	DET
ejpam-5869	68	10	equality	equality	NOUN
ejpam-5869	68	11	holds	hold	VERB
ejpam-5869	68	12	if	if	SCONJ
ejpam-5869	68	13	and	and	CCONJ
ejpam-5869	68	14	only	only	ADV
ejpam-5869	68	15	if	if	SCONJ
ejpam-5869	68	16	ρ(ξ	ρ(ξ	NOUN
ejpam-5869	68	17	)	)	PUNCT
ejpam-5869	68	18	=	=	PUNCT
ejpam-5869	69	1	(	(	PUNCT
ejpam-5869	69	2	1	1	NUM
ejpam-5869	69	3	+	+	NUM
ejpam-5869	69	4	ξ2)/(1	ξ2)/(1	NUM
ejpam-5869	69	5	−	−	PROPN
ejpam-5869	69	6	ξ2	ξ2	NOUN
ejpam-5869	69	7	)	)	PUNCT
ejpam-5869	69	8	or	or	CCONJ
ejpam-5869	69	9	one	one	NUM
ejpam-5869	69	10	of	of	ADP
ejpam-5869	69	11	its	its	PRON
ejpam-5869	69	12	rotations	rotation	NOUN
ejpam-5869	69	13	.	.	PUNCT
ejpam-5869	70	1	if	if	SCONJ
ejpam-5869	70	2	ν	ν	X
ejpam-5869	70	3	=	=	SYM
ejpam-5869	70	4	0	0	NUM
ejpam-5869	70	5	,	,	PUNCT
ejpam-5869	70	6	the	the	DET
ejpam-5869	70	7	equality	equality	NOUN
ejpam-5869	70	8	holds	hold	VERB
ejpam-5869	70	9	if	if	SCONJ
ejpam-5869	70	10	and	and	CCONJ
ejpam-5869	70	11	only	only	ADV
ejpam-5869	70	12	if	if	SCONJ
ejpam-5869	70	13	ρ	ρ	PROPN
ejpam-5869	70	14	(	(	PUNCT
ejpam-5869	70	15	ξ	ξ	NOUN
ejpam-5869	70	16	)	)	PUNCT
ejpam-5869	70	17	=	=	SYM
ejpam-5869	71	1	(	(	PUNCT
ejpam-5869	71	2	1	1	NUM
ejpam-5869	71	3	+	+	NUM
ejpam-5869	71	4	λ	λ	PROPN
ejpam-5869	71	5	2	2	NUM
ejpam-5869	71	6	)	)	PUNCT
ejpam-5869	71	7	1	1	NUM
ejpam-5869	72	1	+	+	SYM
ejpam-5869	72	2	ξ	ξ	PROPN
ejpam-5869	72	3	1−	1−	NUM
ejpam-5869	72	4	ξ	ξ	SYM
ejpam-5869	72	5	+	+	PUNCT
ejpam-5869	72	6	(	(	PUNCT
ejpam-5869	72	7	1−	1−	NUM
ejpam-5869	72	8	λ	λ	NOUN
ejpam-5869	72	9	2	2	NUM
ejpam-5869	72	10	)	)	PUNCT
ejpam-5869	72	11	1−	1−	NUM
ejpam-5869	72	12	ξ	ξ	SYM
ejpam-5869	72	13	1	1	NUM
ejpam-5869	72	14	+	+	SYM
ejpam-5869	72	15	ξ	ξ	X
ejpam-5869	72	16	(	(	PUNCT
ejpam-5869	72	17	0	0	NUM
ejpam-5869	72	18	≤	≤	NUM
ejpam-5869	72	19	λ	λ	X
ejpam-5869	72	20	≤	≤	NOUN
ejpam-5869	72	21	1	1	NUM
ejpam-5869	72	22	)	)	PUNCT
ejpam-5869	72	23	or	or	CCONJ
ejpam-5869	72	24	one	one	NUM
ejpam-5869	72	25	of	of	ADP
ejpam-5869	72	26	its	its	PRON
ejpam-5869	72	27	rotations	rotation	NOUN
ejpam-5869	72	28	.	.	PUNCT
ejpam-5869	73	1	if	if	SCONJ
ejpam-5869	73	2	ν	ν	NOUN
ejpam-5869	73	3	=	=	SYM
ejpam-5869	73	4	1	1	NUM
ejpam-5869	73	5	,	,	PUNCT
ejpam-5869	73	6	the	the	DET
ejpam-5869	73	7	equality	equality	NOUN
ejpam-5869	73	8	holds	hold	VERB
ejpam-5869	73	9	if	if	SCONJ
ejpam-5869	73	10	and	and	CCONJ
ejpam-5869	73	11	only	only	ADV
ejpam-5869	73	12	if	if	SCONJ
ejpam-5869	73	13	ρ	ρ	PROPN
ejpam-5869	73	14	is	be	AUX
ejpam-5869	73	15	the	the	DET
ejpam-5869	73	16	reciprocal	reciprocal	NOUN
ejpam-5869	73	17	of	of	ADP
ejpam-5869	73	18	one	one	NUM
ejpam-5869	73	19	of	of	ADP
ejpam-5869	73	20	the	the	DET
ejpam-5869	73	21	functions	function	NOUN
ejpam-5869	73	22	such	such	ADJ
ejpam-5869	73	23	that	that	SCONJ
ejpam-5869	73	24	equality	equality	NOUN
ejpam-5869	73	25	holds	hold	VERB
ejpam-5869	73	26	in	in	ADP
ejpam-5869	73	27	the	the	DET
ejpam-5869	73	28	case	case	NOUN
ejpam-5869	73	29	of	of	ADP
ejpam-5869	73	30	ν	ν	X
ejpam-5869	73	31	=	=	SYM
ejpam-5869	73	32	0	0	PROPN
ejpam-5869	73	33	.	.	PUNCT
ejpam-5869	74	1	also	also	ADV
ejpam-5869	74	2	the	the	DET
ejpam-5869	74	3	above	above	ADJ
ejpam-5869	74	4	upper	upper	ADJ
ejpam-5869	74	5	bound	bind	VERB
ejpam-5869	74	6	is	be	AUX
ejpam-5869	74	7	sharp	sharp	ADJ
ejpam-5869	74	8	,	,	PUNCT
ejpam-5869	74	9	and	and	CCONJ
ejpam-5869	74	10	it	it	PRON
ejpam-5869	74	11	can	can	AUX
ejpam-5869	74	12	be	be	AUX
ejpam-5869	74	13	improved	improve	VERB
ejpam-5869	74	14	as	as	SCONJ
ejpam-5869	74	15	follows	follow	VERB
ejpam-5869	74	16	when	when	SCONJ
ejpam-5869	74	17	0	0	NUM
ejpam-5869	74	18	<	<	X
ejpam-5869	74	19	ν	ν	X
ejpam-5869	74	20	<	<	X
ejpam-5869	74	21	1:∣∣c2	1:∣∣c2	NUM
ejpam-5869	74	22	−	−	PUNCT
ejpam-5869	74	23	νc21	νc21	PROPN
ejpam-5869	74	24	∣∣+	∣∣+	PUNCT
ejpam-5869	74	25	ν	ν	X
ejpam-5869	74	26	|c1|2	|c1|2	PUNCT
ejpam-5869	74	27	≤	≤	ADV
ejpam-5869	74	28	2	2	NUM
ejpam-5869	74	29	(	(	PUNCT
ejpam-5869	74	30	0	0	NUM
ejpam-5869	74	31	≤	≤	NUM
ejpam-5869	74	32	ν	ν	NOUN
ejpam-5869	74	33	≤	≤	NUM
ejpam-5869	74	34	1	1	NUM
ejpam-5869	74	35	2	2	NUM
ejpam-5869	74	36	)	)	PUNCT
ejpam-5869	74	37	and	and	CCONJ
ejpam-5869	74	38	∣∣c2	∣∣c2	ADJ
ejpam-5869	74	39	−	−	PROPN
ejpam-5869	74	40	νc21	νc21	PROPN
ejpam-5869	74	41	∣∣+	∣∣+	X
ejpam-5869	74	42	(	(	PUNCT
ejpam-5869	74	43	1−	1−	NUM
ejpam-5869	74	44	ν	ν	NOUN
ejpam-5869	74	45	)	)	PUNCT
ejpam-5869	74	46	|c1|2	|c1|2	PROPN
ejpam-5869	74	47	≤	≤	ADV
ejpam-5869	74	48	2	2	NUM
ejpam-5869	74	49	(	(	PUNCT
ejpam-5869	74	50	1	1	NUM
ejpam-5869	74	51	2	2	NUM
ejpam-5869	74	52	≤	≤	NUM
ejpam-5869	74	53	ν	ν	NOUN
ejpam-5869	74	54	≤	≤	NOUN
ejpam-5869	74	55	1	1	NUM
ejpam-5869	74	56	)	)	PUNCT
ejpam-5869	74	57	.	.	PUNCT
ejpam-5869	75	1	in	in	ADP
ejpam-5869	75	2	some	some	DET
ejpam-5869	75	3	literature	literature	NOUN
ejpam-5869	75	4	,	,	PUNCT
ejpam-5869	75	5	we	we	PRON
ejpam-5869	75	6	found	find	VERB
ejpam-5869	75	7	many	many	ADJ
ejpam-5869	75	8	works	work	NOUN
ejpam-5869	75	9	related	relate	VERB
ejpam-5869	75	10	to	to	ADP
ejpam-5869	75	11	the	the	DET
ejpam-5869	75	12	subclasses	subclass	NOUN
ejpam-5869	75	13	of	of	ADP
ejpam-5869	75	14	bazilevi	bazilevi	ADJ
ejpam-5869	75	15	č	č	PROPN
ejpam-5869	75	16	or	or	CCONJ
ejpam-5869	75	17	non	non	ADJ
ejpam-5869	75	18	-	-	ADJ
ejpam-5869	75	19	bazilevič	bazilevič	ADJ
ejpam-5869	75	20	analytic	analytic	ADJ
ejpam-5869	75	21	functions	function	NOUN
ejpam-5869	75	22	which	which	PRON
ejpam-5869	75	23	are	be	AUX
ejpam-5869	75	24	sometimes	sometimes	ADV
ejpam-5869	75	25	defined	define	VERB
ejpam-5869	75	26	by	by	ADP
ejpam-5869	75	27	linear	linear	PROPN
ejpam-5869	75	28	operators	operator	NOUN
ejpam-5869	75	29	.	.	PUNCT
ejpam-5869	76	1	for	for	ADP
ejpam-5869	76	2	example	example	NOUN
ejpam-5869	76	3	,	,	PUNCT
ejpam-5869	76	4	we	we	PRON
ejpam-5869	76	5	can	can	AUX
ejpam-5869	76	6	see	see	VERB
ejpam-5869	76	7	those	those	DET
ejpam-5869	76	8	subclasses	subclass	NOUN
ejpam-5869	76	9	in	in	ADP
ejpam-5869	76	10	the	the	DET
ejpam-5869	76	11	papers	paper	NOUN
ejpam-5869	76	12	in	in	ADP
ejpam-5869	76	13	[	[	X
ejpam-5869	76	14	13–22	13–22	NUM
ejpam-5869	76	15	]	]	PUNCT
ejpam-5869	76	16	.	.	PUNCT
ejpam-5869	77	1	the	the	DET
ejpam-5869	77	2	novelty	novelty	NOUN
ejpam-5869	77	3	in	in	ADP
ejpam-5869	77	4	our	our	PRON
ejpam-5869	77	5	paper	paper	NOUN
ejpam-5869	77	6	is	be	AUX
ejpam-5869	77	7	that	that	SCONJ
ejpam-5869	77	8	we	we	PRON
ejpam-5869	77	9	have	have	VERB
ejpam-5869	77	10	combined	combine	VERB
ejpam-5869	77	11	bazilevič	bazilevič	NOUN
ejpam-5869	77	12	and	and	CCONJ
ejpam-5869	77	13	non	non	ADJ
ejpam-5869	77	14	-	-	ADJ
ejpam-5869	77	15	bazilevič	bazilevič	ADJ
ejpam-5869	77	16	analytic	analytic	ADJ
ejpam-5869	77	17	functions	function	NOUN
ejpam-5869	77	18	in	in	ADP
ejpam-5869	77	19	one	one	NUM
ejpam-5869	77	20	subclass	subclass	NOUN
ejpam-5869	77	21	bn	bn	ADP
ejpam-5869	77	22	p	p	X
ejpam-5869	77	23	(	(	PUNCT
ejpam-5869	77	24	λ	λ	PROPN
ejpam-5869	77	25	,	,	PUNCT
ejpam-5869	77	26	α	α	X
ejpam-5869	77	27	,	,	PUNCT
ejpam-5869	77	28	β	β	NOUN
ejpam-5869	77	29	)	)	PUNCT
ejpam-5869	77	30	to	to	PART
ejpam-5869	77	31	study	study	VERB
ejpam-5869	77	32	some	some	DET
ejpam-5869	77	33	geometric	geometric	ADJ
ejpam-5869	77	34	properties	property	NOUN
ejpam-5869	77	35	such	such	ADJ
ejpam-5869	77	36	as	as	ADP
ejpam-5869	77	37	subordination	subordination	NOUN
ejpam-5869	77	38	properties	property	NOUN
ejpam-5869	77	39	,	,	PUNCT
ejpam-5869	77	40	inclusion	inclusion	NOUN
ejpam-5869	77	41	relationship	relationship	NOUN
ejpam-5869	77	42	,	,	PUNCT
ejpam-5869	77	43	convolution	convolution	NOUN
ejpam-5869	77	44	result	result	NOUN
ejpam-5869	77	45	,	,	PUNCT
ejpam-5869	77	46	coefficients	coefficient	NOUN
ejpam-5869	77	47	estimate	estimate	NOUN
ejpam-5869	77	48	and	and	CCONJ
ejpam-5869	77	49	fekete	fekete	PROPN
ejpam-5869	77	50	–	–	PUNCT
ejpam-5869	77	51	szegö	szegö	ADJ
ejpam-5869	77	52	inequalities	inequality	NOUN
ejpam-5869	77	53	.	.	PUNCT
ejpam-5869	78	1	2	2	X
ejpam-5869	78	2	.	.	X
ejpam-5869	78	3	geometric	geometric	ADJ
ejpam-5869	78	4	properties	property	NOUN
ejpam-5869	78	5	for	for	ADP
ejpam-5869	78	6	bn	bn	NOUN
ejpam-5869	78	7	p	p	NOUN
ejpam-5869	78	8	(	(	PUNCT
ejpam-5869	78	9	λ	λ	PROPN
ejpam-5869	78	10	,	,	PUNCT
ejpam-5869	78	11	α	α	X
ejpam-5869	78	12	,	,	PUNCT
ejpam-5869	78	13	β	β	NOUN
ejpam-5869	78	14	)	)	PUNCT
ejpam-5869	78	15	theorem	theorem	NOUN
ejpam-5869	78	16	1	1	NUM
ejpam-5869	78	17	.	.	PUNCT
ejpam-5869	79	1	if	if	SCONJ
ejpam-5869	79	2	χ	χ	PROPN
ejpam-5869	79	3	∈	∈	PROPN
ejpam-5869	79	4	bn	bn	ADP
ejpam-5869	79	5	p	p	X
ejpam-5869	79	6	(	(	PUNCT
ejpam-5869	79	7	λ	λ	PROPN
ejpam-5869	79	8	,	,	PUNCT
ejpam-5869	79	9	α	α	X
ejpam-5869	79	10	,	,	PUNCT
ejpam-5869	79	11	β	β	NOUN
ejpam-5869	79	12	)	)	PUNCT
ejpam-5869	79	13	with	with	ADP
ejpam-5869	79	14	λ	λ	PROPN
ejpam-5869	79	15	α+β	α+β	X
ejpam-5869	79	16	>	>	SYM
ejpam-5869	79	17	0	0	PROPN
ejpam-5869	79	18	,	,	PUNCT
ejpam-5869	79	19	then	then	ADV
ejpam-5869	79	20	[	[	PUNCT
ejpam-5869	79	21	χ	χ	X
ejpam-5869	79	22	(	(	PUNCT
ejpam-5869	79	23	ξ	ξ	NOUN
ejpam-5869	79	24	)	)	PUNCT
ejpam-5869	79	25	ξp	ξp	ADP
ejpam-5869	79	26	]	]	PUNCT
ejpam-5869	79	27	α−β	α−β	PROPN
ejpam-5869	79	28	≺	≺	NOUN
ejpam-5869	79	29	q	q	X
ejpam-5869	79	30	(	(	PUNCT
ejpam-5869	79	31	ξ	ξ	NOUN
ejpam-5869	79	32	)	)	PUNCT
ejpam-5869	79	33	=	=	SYM
ejpam-5869	79	34	(	(	PUNCT
ejpam-5869	79	35	1	1	NUM
ejpam-5869	79	36	+	+	SYM
ejpam-5869	79	37	ξ	ξ	X
ejpam-5869	79	38	)	)	PUNCT
ejpam-5869	79	39	1	1	NUM
ejpam-5869	79	40	2	2	NUM
ejpam-5869	79	41	2ω1	2ω1	NUM
ejpam-5869	79	42	(	(	PUNCT
ejpam-5869	79	43	−1	−1	NOUN
ejpam-5869	79	44	2	2	NUM
ejpam-5869	79	45	,	,	PUNCT
ejpam-5869	79	46	1	1	NUM
ejpam-5869	79	47	;	;	PUNCT
ejpam-5869	79	48	p	p	X
ejpam-5869	79	49	(	(	PUNCT
ejpam-5869	79	50	α+	α+	X
ejpam-5869	79	51	β	β	X
ejpam-5869	79	52	)	)	PUNCT
ejpam-5869	79	53	λ	λ	NOUN
ejpam-5869	79	54	+	+	NOUN
ejpam-5869	79	55	1	1	NUM
ejpam-5869	79	56	;	;	PUNCT
ejpam-5869	79	57	ξ	ξ	X
ejpam-5869	79	58	1	1	NUM
ejpam-5869	79	59	+	+	SYM
ejpam-5869	79	60	ξ	ξ	X
ejpam-5869	79	61	)	)	PUNCT
ejpam-5869	79	62	≺	≺	NOUN
ejpam-5869	79	63	√	√	VERB
ejpam-5869	79	64	1	1	NUM
ejpam-5869	79	65	+	+	SYM
ejpam-5869	79	66	ξ	ξ	PROPN
ejpam-5869	79	67	,	,	PUNCT
ejpam-5869	79	68	(	(	PUNCT
ejpam-5869	79	69	10	10	NUM
ejpam-5869	79	70	)	)	PUNCT
ejpam-5869	79	71	where	where	SCONJ
ejpam-5869	79	72	the	the	DET
ejpam-5869	79	73	function	function	NOUN
ejpam-5869	79	74	q	q	X
ejpam-5869	79	75	(	(	PUNCT
ejpam-5869	79	76	ξ	ξ	NOUN
ejpam-5869	79	77	)	)	PUNCT
ejpam-5869	79	78	is	be	AUX
ejpam-5869	79	79	the	the	DET
ejpam-5869	79	80	best	good	ADJ
ejpam-5869	79	81	dominant	dominant	NOUN
ejpam-5869	79	82	.	.	PUNCT
ejpam-5869	80	1	t.m	t.m	PROPN
ejpam-5869	80	2	.	.	PROPN
ejpam-5869	80	3	seoudy	seoudy	PROPN
ejpam-5869	80	4	,	,	PUNCT
ejpam-5869	80	5	a.e	a.e	PROPN
ejpam-5869	80	6	.	.	PROPN
ejpam-5869	80	7	shammaky	shammaky	PROPN
ejpam-5869	80	8	/	/	SYM
ejpam-5869	80	9	eur	eur	PROPN
ejpam-5869	80	10	.	.	PUNCT
ejpam-5869	81	1	j.	j.	PROPN
ejpam-5869	81	2	pure	pure	PROPN
ejpam-5869	81	3	appl	appl	PROPN
ejpam-5869	81	4	.	.	PROPN
ejpam-5869	81	5	math	math	PROPN
ejpam-5869	81	6	,	,	PUNCT
ejpam-5869	81	7	18	18	NUM
ejpam-5869	81	8	(	(	PUNCT
ejpam-5869	81	9	2	2	NUM
ejpam-5869	81	10	)	)	PUNCT
ejpam-5869	81	11	(	(	PUNCT
ejpam-5869	81	12	2025	2025	NUM
ejpam-5869	81	13	)	)	PUNCT
ejpam-5869	81	14	,	,	PUNCT
ejpam-5869	81	15	5869	5869	NUM
ejpam-5869	81	16	5	5	NUM
ejpam-5869	81	17	of	of	ADP
ejpam-5869	81	18	14	14	NUM
ejpam-5869	81	19	proof	proof	NOUN
ejpam-5869	81	20	.	.	PUNCT
ejpam-5869	82	1	let	let	VERB
ejpam-5869	82	2	ρ	ρ	PROPN
ejpam-5869	82	3	(	(	PUNCT
ejpam-5869	82	4	ξ	ξ	NOUN
ejpam-5869	82	5	)	)	PUNCT
ejpam-5869	83	1	=	=	NOUN
ejpam-5869	84	1	[	[	PUNCT
ejpam-5869	84	2	χ	χ	X
ejpam-5869	84	3	(	(	PUNCT
ejpam-5869	84	4	ξ	ξ	NOUN
ejpam-5869	84	5	)	)	PUNCT
ejpam-5869	84	6	ξp	ξp	ADP
ejpam-5869	84	7	]	]	PUNCT
ejpam-5869	84	8	α−β	α−β	X
ejpam-5869	84	9	(	(	PUNCT
ejpam-5869	84	10	ξ	ξ	PROPN
ejpam-5869	84	11	∈	∈	PROPN
ejpam-5869	84	12	u	u	NOUN
ejpam-5869	84	13	)	)	PUNCT
ejpam-5869	84	14	.	.	PUNCT
ejpam-5869	85	1	(	(	PUNCT
ejpam-5869	85	2	11	11	NUM
ejpam-5869	85	3	)	)	PUNCT
ejpam-5869	85	4	then	then	ADV
ejpam-5869	85	5	the	the	DET
ejpam-5869	85	6	function	function	NOUN
ejpam-5869	85	7	ρ(ξ	ρ(ξ	VERB
ejpam-5869	85	8	)	)	PUNCT
ejpam-5869	85	9	is	be	AUX
ejpam-5869	85	10	of	of	ADP
ejpam-5869	85	11	the	the	DET
ejpam-5869	85	12	form	form	NOUN
ejpam-5869	85	13	(	(	PUNCT
ejpam-5869	85	14	4	4	NUM
ejpam-5869	85	15	)	)	PUNCT
ejpam-5869	85	16	,	,	PUNCT
ejpam-5869	85	17	analytic	analytic	ADJ
ejpam-5869	85	18	in	in	ADP
ejpam-5869	85	19	u	u	NOUN
ejpam-5869	85	20	and	and	CCONJ
ejpam-5869	85	21	ρ	ρ	PROPN
ejpam-5869	85	22	(	(	PUNCT
ejpam-5869	85	23	0	0	NUM
ejpam-5869	85	24	)	)	PUNCT
ejpam-5869	85	25	=	=	SYM
ejpam-5869	86	1	1	1	X
ejpam-5869	86	2	.	.	PUNCT
ejpam-5869	86	3	by	by	ADP
ejpam-5869	86	4	taking	take	VERB
ejpam-5869	86	5	the	the	DET
ejpam-5869	86	6	derivatives	derivative	NOUN
ejpam-5869	86	7	in	in	ADP
ejpam-5869	86	8	the	the	DET
ejpam-5869	86	9	both	both	DET
ejpam-5869	86	10	sides	side	NOUN
ejpam-5869	86	11	of	of	ADP
ejpam-5869	86	12	(	(	PUNCT
ejpam-5869	86	13	11	11	NUM
ejpam-5869	86	14	)	)	PUNCT
ejpam-5869	86	15	,	,	PUNCT
ejpam-5869	86	16	we	we	PRON
ejpam-5869	86	17	get	get	VERB
ejpam-5869	86	18	(	(	PUNCT
ejpam-5869	86	19	1−	1−	NUM
ejpam-5869	86	20	α−	α−	ADP
ejpam-5869	86	21	β	β	X
ejpam-5869	86	22	α+	α+	X
ejpam-5869	86	23	β	β	X
ejpam-5869	86	24	λ	λ	NOUN
ejpam-5869	86	25	)	)	PUNCT
ejpam-5869	87	1	[	[	PUNCT
ejpam-5869	87	2	χ	χ	X
ejpam-5869	87	3	(	(	PUNCT
ejpam-5869	87	4	ξ	ξ	NOUN
ejpam-5869	87	5	)	)	PUNCT
ejpam-5869	87	6	ξp	ξp	ADP
ejpam-5869	87	7	]	]	PUNCT
ejpam-5869	87	8	α−β	α−β	X
ejpam-5869	87	9	+	+	CCONJ
ejpam-5869	87	10	α−	α−	ADP
ejpam-5869	87	11	β	β	X
ejpam-5869	87	12	α+	α+	X
ejpam-5869	87	13	β	β	PUNCT
ejpam-5869	87	14	λ	λ	X
ejpam-5869	87	15	ξχ′	ξχ′	PROPN
ejpam-5869	87	16	(	(	PUNCT
ejpam-5869	87	17	ξ	ξ	NOUN
ejpam-5869	87	18	)	)	PUNCT
ejpam-5869	87	19	pχ	pχ	PROPN
ejpam-5869	87	20	(	(	PUNCT
ejpam-5869	87	21	ξ	ξ	NOUN
ejpam-5869	87	22	)	)	PUNCT
ejpam-5869	87	23	[	[	PUNCT
ejpam-5869	87	24	χ	χ	X
ejpam-5869	87	25	(	(	PUNCT
ejpam-5869	87	26	ξ	ξ	NOUN
ejpam-5869	87	27	)	)	PUNCT
ejpam-5869	87	28	ξp	ξp	ADP
ejpam-5869	87	29	]	]	PUNCT
ejpam-5869	87	30	α−β	α−β	X
ejpam-5869	87	31	=	=	SYM
ejpam-5869	87	32	ρ	ρ	PROPN
ejpam-5869	87	33	(	(	PUNCT
ejpam-5869	87	34	ξ	ξ	NOUN
ejpam-5869	87	35	)	)	PUNCT
ejpam-5869	87	36	+	+	CCONJ
ejpam-5869	87	37	λξρ′	λξρ′	X
ejpam-5869	87	38	(	(	PUNCT
ejpam-5869	87	39	ξ	ξ	NOUN
ejpam-5869	87	40	)	)	PUNCT
ejpam-5869	87	41	p	p	NOUN
ejpam-5869	87	42	(	(	PUNCT
ejpam-5869	87	43	α+	α+	X
ejpam-5869	87	44	β	β	NOUN
ejpam-5869	87	45	)	)	PUNCT
ejpam-5869	87	46	.	.	PUNCT
ejpam-5869	88	1	(	(	PUNCT
ejpam-5869	88	2	12	12	NUM
ejpam-5869	88	3	)	)	PUNCT
ejpam-5869	88	4	since	since	SCONJ
ejpam-5869	88	5	χ	χ	PROPN
ejpam-5869	88	6	∈	∈	PROPN
ejpam-5869	88	7	bn	bn	ADP
ejpam-5869	88	8	p	p	X
ejpam-5869	88	9	(	(	PUNCT
ejpam-5869	88	10	λ	λ	PROPN
ejpam-5869	88	11	,	,	PUNCT
ejpam-5869	88	12	α	α	X
ejpam-5869	88	13	,	,	PUNCT
ejpam-5869	88	14	β	β	NOUN
ejpam-5869	88	15	)	)	PUNCT
ejpam-5869	88	16	,	,	PUNCT
ejpam-5869	88	17	we	we	PRON
ejpam-5869	88	18	have	have	VERB
ejpam-5869	88	19	ρ	ρ	PROPN
ejpam-5869	88	20	(	(	PUNCT
ejpam-5869	88	21	ξ	ξ	NOUN
ejpam-5869	88	22	)	)	PUNCT
ejpam-5869	89	1	+	+	CCONJ
ejpam-5869	89	2	λξρ′	λξρ′	X
ejpam-5869	89	3	(	(	PUNCT
ejpam-5869	89	4	ξ	ξ	NOUN
ejpam-5869	89	5	)	)	PUNCT
ejpam-5869	89	6	p	p	NOUN
ejpam-5869	89	7	(	(	PUNCT
ejpam-5869	89	8	α+	α+	X
ejpam-5869	89	9	β	β	NOUN
ejpam-5869	89	10	)	)	PUNCT
ejpam-5869	89	11	≺	≺	NOUN
ejpam-5869	89	12	√	√	VERB
ejpam-5869	89	13	1	1	NUM
ejpam-5869	89	14	+	+	SYM
ejpam-5869	89	15	ξ	ξ	X
ejpam-5869	89	16	.	.	PUNCT
ejpam-5869	90	1	now	now	ADV
ejpam-5869	90	2	,	,	PUNCT
ejpam-5869	90	3	by	by	ADP
ejpam-5869	90	4	applying	apply	VERB
ejpam-5869	90	5	lemma	lemma	PROPN
ejpam-5869	90	6	1	1	NUM
ejpam-5869	90	7	for	for	ADP
ejpam-5869	90	8	γ	γ	X
ejpam-5869	90	9	=	=	SYM
ejpam-5869	90	10	p(α+β	p(α+β	NUM
ejpam-5869	90	11	)	)	PUNCT
ejpam-5869	90	12	λ	λ	NOUN
ejpam-5869	90	13	,	,	PUNCT
ejpam-5869	90	14	we	we	PRON
ejpam-5869	90	15	derive	derive	VERB
ejpam-5869	90	16	that	that	SCONJ
ejpam-5869	90	17	[	[	PUNCT
ejpam-5869	90	18	χ	χ	X
ejpam-5869	90	19	(	(	PUNCT
ejpam-5869	90	20	ξ	ξ	NOUN
ejpam-5869	90	21	)	)	PUNCT
ejpam-5869	90	22	ξp	ξp	ADP
ejpam-5869	90	23	]	]	PUNCT
ejpam-5869	90	24	α−β	α−β	PROPN
ejpam-5869	90	25	≺	≺	NOUN
ejpam-5869	90	26	q	q	X
ejpam-5869	90	27	(	(	PUNCT
ejpam-5869	90	28	ξ	ξ	NOUN
ejpam-5869	90	29	)	)	PUNCT
ejpam-5869	90	30	=	=	SYM
ejpam-5869	90	31	p	p	X
ejpam-5869	90	32	(	(	PUNCT
ejpam-5869	90	33	α+	α+	X
ejpam-5869	90	34	β	β	X
ejpam-5869	90	35	)	)	PUNCT
ejpam-5869	90	36	λ	λ	X
ejpam-5869	90	37	ξ	ξ	PRON
ejpam-5869	90	38	−	−	NOUN
ejpam-5869	90	39	p(α+β	p(α+β	NUM
ejpam-5869	90	40	)	)	PUNCT
ejpam-5869	91	1	λ	λ	NOUN
ejpam-5869	91	2	∫	∫	PROPN
ejpam-5869	91	3	ξ	ξ	SYM
ejpam-5869	91	4	0	0	PROPN
ejpam-5869	91	5	t	t	NOUN
ejpam-5869	91	6	p(α+β	p(α+β	NUM
ejpam-5869	91	7	)	)	PUNCT
ejpam-5869	91	8	λ	λ	SYM
ejpam-5869	91	9	−1	−1	NOUN
ejpam-5869	91	10	(	(	PUNCT
ejpam-5869	91	11	1	1	NUM
ejpam-5869	91	12	+	+	NUM
ejpam-5869	91	13	t	t	NOUN
ejpam-5869	91	14	)	)	PUNCT
ejpam-5869	91	15	1	1	NUM
ejpam-5869	91	16	2	2	NUM
ejpam-5869	91	17	dt	dt	NOUN
ejpam-5869	91	18	=	=	SYM
ejpam-5869	91	19	p	p	X
ejpam-5869	91	20	(	(	PUNCT
ejpam-5869	91	21	α+	α+	X
ejpam-5869	91	22	β	β	X
ejpam-5869	91	23	)	)	PUNCT
ejpam-5869	91	24	λ	λ	NOUN
ejpam-5869	92	1	∫	∫	PROPN
ejpam-5869	92	2	1	1	NUM
ejpam-5869	92	3	0	0	NUM
ejpam-5869	92	4	u	u	NOUN
ejpam-5869	92	5	p(α+β	p(α+β	NOUN
ejpam-5869	92	6	)	)	PUNCT
ejpam-5869	92	7	λ	λ	SYM
ejpam-5869	92	8	−1	−1	NOUN
ejpam-5869	92	9	(	(	PUNCT
ejpam-5869	92	10	1	1	NUM
ejpam-5869	92	11	+	+	SYM
ejpam-5869	92	12	ξu	ξu	NOUN
ejpam-5869	92	13	)	)	PUNCT
ejpam-5869	92	14	1	1	NUM
ejpam-5869	92	15	2	2	NUM
ejpam-5869	92	16	du	du	NOUN
ejpam-5869	92	17	=	=	PUNCT
ejpam-5869	92	18	(	(	PUNCT
ejpam-5869	92	19	1	1	NUM
ejpam-5869	92	20	+	+	SYM
ejpam-5869	92	21	ξ	ξ	X
ejpam-5869	92	22	)	)	PUNCT
ejpam-5869	92	23	1	1	NUM
ejpam-5869	92	24	2	2	NUM
ejpam-5869	92	25	2ω1	2ω1	NUM
ejpam-5869	92	26	(	(	PUNCT
ejpam-5869	92	27	−1	−1	NOUN
ejpam-5869	92	28	2	2	NUM
ejpam-5869	92	29	,	,	PUNCT
ejpam-5869	92	30	1	1	NUM
ejpam-5869	92	31	;	;	PUNCT
ejpam-5869	92	32	p	p	X
ejpam-5869	92	33	(	(	PUNCT
ejpam-5869	92	34	α+	α+	X
ejpam-5869	92	35	β	β	X
ejpam-5869	92	36	)	)	PUNCT
ejpam-5869	92	37	λ	λ	NOUN
ejpam-5869	92	38	+	+	NOUN
ejpam-5869	92	39	1	1	NUM
ejpam-5869	92	40	;	;	PUNCT
ejpam-5869	92	41	ξ	ξ	X
ejpam-5869	92	42	1	1	NUM
ejpam-5869	92	43	+	+	SYM
ejpam-5869	92	44	ξ	ξ	NOUN
ejpam-5869	92	45	)	)	PUNCT
ejpam-5869	92	46	,	,	PUNCT
ejpam-5869	92	47	(	(	PUNCT
ejpam-5869	92	48	13	13	NUM
ejpam-5869	92	49	)	)	PUNCT
ejpam-5869	92	50	where	where	SCONJ
ejpam-5869	92	51	we	we	PRON
ejpam-5869	92	52	have	have	AUX
ejpam-5869	92	53	made	make	VERB
ejpam-5869	92	54	a	a	DET
ejpam-5869	92	55	change	change	NOUN
ejpam-5869	92	56	of	of	ADP
ejpam-5869	92	57	variables	variable	NOUN
ejpam-5869	92	58	followed	follow	VERB
ejpam-5869	92	59	by	by	ADP
ejpam-5869	92	60	the	the	DET
ejpam-5869	92	61	use	use	NOUN
ejpam-5869	92	62	of	of	ADP
ejpam-5869	92	63	identities	identity	NOUN
ejpam-5869	92	64	in	in	ADP
ejpam-5869	92	65	lemma	lemma	PROPN
ejpam-5869	92	66	2	2	NUM
ejpam-5869	92	67	with	with	ADP
ejpam-5869	92	68	a	a	DET
ejpam-5869	92	69	=	=	SYM
ejpam-5869	92	70	−1	−1	NOUN
ejpam-5869	92	71	2	2	NUM
ejpam-5869	92	72	,	,	PUNCT
ejpam-5869	92	73	b	b	X
ejpam-5869	92	74	=	=	X
ejpam-5869	92	75	pα	pα	VERB
ejpam-5869	92	76	λn	λn	NOUN
ejpam-5869	92	77	and	and	CCONJ
ejpam-5869	92	78	c	c	NOUN
ejpam-5869	92	79	=	=	PUNCT
ejpam-5869	92	80	b+	b+	PUNCT
ejpam-5869	92	81	1	1	NUM
ejpam-5869	92	82	.	.	PUNCT
ejpam-5869	93	1	this	this	PRON
ejpam-5869	93	2	finishes	finish	VERB
ejpam-5869	93	3	the	the	DET
ejpam-5869	93	4	proof	proof	NOUN
ejpam-5869	93	5	of	of	ADP
ejpam-5869	93	6	theorem	theorem	NOUN
ejpam-5869	93	7	1	1	NUM
ejpam-5869	93	8	.	.	PUNCT
ejpam-5869	93	9	taking	take	VERB
ejpam-5869	93	10	β	β	X
ejpam-5869	93	11	=	=	SYM
ejpam-5869	93	12	0	0	PUNCT
ejpam-5869	93	13	in	in	ADP
ejpam-5869	93	14	theorem	theorem	NOUN
ejpam-5869	93	15	1	1	NUM
ejpam-5869	93	16	,	,	PUNCT
ejpam-5869	93	17	we	we	PRON
ejpam-5869	93	18	get	get	VERB
ejpam-5869	93	19	corollary	corollary	ADJ
ejpam-5869	93	20	1	1	NUM
ejpam-5869	93	21	.	.	PUNCT
ejpam-5869	94	1	if	if	SCONJ
ejpam-5869	94	2	χ	χ	PROPN
ejpam-5869	94	3	∈	∈	PROPN
ejpam-5869	94	4	bp	bp	PROPN
ejpam-5869	94	5	(	(	PUNCT
ejpam-5869	94	6	λ	λ	PROPN
ejpam-5869	94	7	,	,	PUNCT
ejpam-5869	94	8	α	α	NOUN
ejpam-5869	94	9	)	)	PUNCT
ejpam-5869	94	10	with	with	ADP
ejpam-5869	94	11	λ	λ	PROPN
ejpam-5869	94	12	α	α	X
ejpam-5869	94	13	>	>	X
ejpam-5869	94	14	0	0	PROPN
ejpam-5869	94	15	,	,	PUNCT
ejpam-5869	94	16	then	then	ADV
ejpam-5869	94	17	[	[	PUNCT
ejpam-5869	94	18	χ	χ	X
ejpam-5869	94	19	(	(	PUNCT
ejpam-5869	94	20	ξ	ξ	NOUN
ejpam-5869	94	21	)	)	PUNCT
ejpam-5869	94	22	ξp	ξp	ADP
ejpam-5869	94	23	]	]	PUNCT
ejpam-5869	94	24	α	α	NOUN
ejpam-5869	94	25	≺	≺	NOUN
ejpam-5869	94	26	q2	q2	NOUN
ejpam-5869	94	27	(	(	PUNCT
ejpam-5869	94	28	ξ	ξ	NOUN
ejpam-5869	94	29	)	)	PUNCT
ejpam-5869	94	30	=	=	SYM
ejpam-5869	94	31	(	(	PUNCT
ejpam-5869	94	32	1	1	NUM
ejpam-5869	94	33	+	+	SYM
ejpam-5869	94	34	ξ	ξ	X
ejpam-5869	94	35	)	)	PUNCT
ejpam-5869	94	36	1	1	NUM
ejpam-5869	94	37	2	2	NUM
ejpam-5869	94	38	2ω1	2ω1	NUM
ejpam-5869	94	39	(	(	PUNCT
ejpam-5869	94	40	−1	−1	NOUN
ejpam-5869	94	41	2	2	NUM
ejpam-5869	94	42	,	,	PUNCT
ejpam-5869	94	43	1	1	NUM
ejpam-5869	94	44	;	;	PUNCT
ejpam-5869	94	45	pα	pα	NOUN
ejpam-5869	94	46	λ	λ	X
ejpam-5869	94	47	+	+	PROPN
ejpam-5869	94	48	1	1	NUM
ejpam-5869	94	49	;	;	PUNCT
ejpam-5869	94	50	ξ	ξ	X
ejpam-5869	94	51	1	1	NUM
ejpam-5869	94	52	+	+	SYM
ejpam-5869	94	53	ξ	ξ	X
ejpam-5869	94	54	)	)	PUNCT
ejpam-5869	94	55	≺	≺	NOUN
ejpam-5869	94	56	√	√	VERB
ejpam-5869	94	57	1	1	NUM
ejpam-5869	94	58	+	+	SYM
ejpam-5869	94	59	ξ	ξ	PROPN
ejpam-5869	94	60	,	,	PUNCT
ejpam-5869	94	61	where	where	SCONJ
ejpam-5869	94	62	q2	q2	NOUN
ejpam-5869	94	63	(	(	PUNCT
ejpam-5869	94	64	ξ	ξ	NOUN
ejpam-5869	94	65	)	)	PUNCT
ejpam-5869	94	66	is	be	AUX
ejpam-5869	94	67	the	the	DET
ejpam-5869	94	68	best	good	ADJ
ejpam-5869	94	69	dominant	dominant	NOUN
ejpam-5869	94	70	.	.	PUNCT
ejpam-5869	95	1	taking	take	VERB
ejpam-5869	95	2	α	α	NOUN
ejpam-5869	95	3	=	=	SYM
ejpam-5869	95	4	0	0	NUM
ejpam-5869	95	5	in	in	ADP
ejpam-5869	95	6	theorem	theorem	NOUN
ejpam-5869	95	7	1	1	NUM
ejpam-5869	95	8	,	,	PUNCT
ejpam-5869	95	9	we	we	PRON
ejpam-5869	95	10	get	get	VERB
ejpam-5869	95	11	corollary	corollary	ADJ
ejpam-5869	95	12	2	2	NUM
ejpam-5869	95	13	.	.	PUNCT
ejpam-5869	96	1	if	if	SCONJ
ejpam-5869	96	2	χ	χ	PROPN
ejpam-5869	96	3	∈	∈	PROPN
ejpam-5869	96	4	np	np	INTJ
ejpam-5869	96	5	(	(	PUNCT
ejpam-5869	96	6	λ	λ	PROPN
ejpam-5869	96	7	,	,	PUNCT
ejpam-5869	96	8	β	β	NOUN
ejpam-5869	96	9	)	)	PUNCT
ejpam-5869	96	10	with	with	ADP
ejpam-5869	96	11	λ	λ	X
ejpam-5869	96	12	β	β	X
ejpam-5869	96	13	>	>	X
ejpam-5869	96	14	0	0	PROPN
ejpam-5869	96	15	,	,	PUNCT
ejpam-5869	96	16	then	then	ADV
ejpam-5869	96	17	[	[	PUNCT
ejpam-5869	96	18	ξp	ξp	NUM
ejpam-5869	96	19	χ	χ	X
ejpam-5869	96	20	(	(	PUNCT
ejpam-5869	96	21	ξ	ξ	PROPN
ejpam-5869	96	22	)	)	PUNCT
ejpam-5869	96	23	]	]	PUNCT
ejpam-5869	96	24	β	β	X
ejpam-5869	96	25	≺	≺	NOUN
ejpam-5869	96	26	q3	q3	NOUN
ejpam-5869	96	27	(	(	PUNCT
ejpam-5869	96	28	ξ	ξ	PROPN
ejpam-5869	96	29	)	)	PUNCT
ejpam-5869	96	30	=	=	SYM
ejpam-5869	96	31	(	(	PUNCT
ejpam-5869	96	32	1	1	NUM
ejpam-5869	96	33	+	+	SYM
ejpam-5869	96	34	ξ	ξ	X
ejpam-5869	96	35	)	)	PUNCT
ejpam-5869	96	36	1	1	NUM
ejpam-5869	96	37	2	2	NUM
ejpam-5869	96	38	2ω1	2ω1	NUM
ejpam-5869	96	39	(	(	PUNCT
ejpam-5869	96	40	−1	−1	NOUN
ejpam-5869	96	41	2	2	NUM
ejpam-5869	96	42	,	,	PUNCT
ejpam-5869	96	43	1	1	NUM
ejpam-5869	96	44	;	;	PUNCT
ejpam-5869	96	45	pβ	pβ	ADV
ejpam-5869	96	46	λ	λ	X
ejpam-5869	96	47	+	+	PROPN
ejpam-5869	96	48	1	1	NUM
ejpam-5869	96	49	;	;	PUNCT
ejpam-5869	96	50	ξ	ξ	X
ejpam-5869	96	51	1	1	NUM
ejpam-5869	96	52	+	+	SYM
ejpam-5869	96	53	ξ	ξ	X
ejpam-5869	96	54	)	)	PUNCT
ejpam-5869	96	55	≺	≺	NOUN
ejpam-5869	96	56	√	√	VERB
ejpam-5869	96	57	1	1	NUM
ejpam-5869	97	1	+	+	SYM
ejpam-5869	97	2	ξ	ξ	PROPN
ejpam-5869	97	3	,	,	PUNCT
ejpam-5869	97	4	where	where	SCONJ
ejpam-5869	97	5	q3	q3	PROPN
ejpam-5869	97	6	(	(	PUNCT
ejpam-5869	97	7	ξ	ξ	PROPN
ejpam-5869	97	8	)	)	PUNCT
ejpam-5869	97	9	is	be	AUX
ejpam-5869	97	10	the	the	DET
ejpam-5869	97	11	best	good	ADJ
ejpam-5869	97	12	dominant	dominant	NOUN
ejpam-5869	97	13	.	.	PUNCT
ejpam-5869	98	1	t.m	t.m	PROPN
ejpam-5869	98	2	.	.	PROPN
ejpam-5869	98	3	seoudy	seoudy	PROPN
ejpam-5869	98	4	,	,	PUNCT
ejpam-5869	98	5	a.e	a.e	PROPN
ejpam-5869	98	6	.	.	PROPN
ejpam-5869	98	7	shammaky	shammaky	PROPN
ejpam-5869	98	8	/	/	SYM
ejpam-5869	98	9	eur	eur	PROPN
ejpam-5869	98	10	.	.	PUNCT
ejpam-5869	99	1	j.	j.	PROPN
ejpam-5869	99	2	pure	pure	PROPN
ejpam-5869	99	3	appl	appl	PROPN
ejpam-5869	99	4	.	.	PROPN
ejpam-5869	99	5	math	math	PROPN
ejpam-5869	99	6	,	,	PUNCT
ejpam-5869	99	7	18	18	NUM
ejpam-5869	99	8	(	(	PUNCT
ejpam-5869	99	9	2	2	NUM
ejpam-5869	99	10	)	)	PUNCT
ejpam-5869	99	11	(	(	PUNCT
ejpam-5869	99	12	2025	2025	NUM
ejpam-5869	99	13	)	)	PUNCT
ejpam-5869	99	14	,	,	PUNCT
ejpam-5869	99	15	5869	5869	NUM
ejpam-5869	99	16	6	6	NUM
ejpam-5869	99	17	of	of	ADP
ejpam-5869	99	18	14	14	NUM
ejpam-5869	99	19	for	for	ADP
ejpam-5869	99	20	a	a	DET
ejpam-5869	99	21	function	function	NOUN
ejpam-5869	99	22	χ	χ	PROPN
ejpam-5869	99	23	∈	∈	PROPN
ejpam-5869	99	24	ap	ap	PROPN
ejpam-5869	99	25	given	give	VERB
ejpam-5869	99	26	by	by	ADP
ejpam-5869	99	27	(	(	PUNCT
ejpam-5869	99	28	1	1	NUM
ejpam-5869	99	29	)	)	PUNCT
ejpam-5869	99	30	,	,	PUNCT
ejpam-5869	99	31	the	the	DET
ejpam-5869	99	32	generalized	generalize	VERB
ejpam-5869	99	33	bernardi	bernardi	PROPN
ejpam-5869	99	34	-	-	PUNCT
ejpam-5869	99	35	libera	libera	NOUN
ejpam-5869	99	36	-	-	PUNCT
ejpam-5869	99	37	livingston	livingston	NOUN
ejpam-5869	99	38	integral	integral	ADJ
ejpam-5869	99	39	operator	operator	NOUN
ejpam-5869	99	40	lp,µ	lp,µ	AUX
ejpam-5869	99	41	:	:	PUNCT
ejpam-5869	99	42	ap	ap	PROPN
ejpam-5869	99	43	→	→	SYM
ejpam-5869	99	44	ap	ap	PROPN
ejpam-5869	99	45	,	,	PUNCT
ejpam-5869	99	46	with	with	ADP
ejpam-5869	99	47	µ	µ	PROPN
ejpam-5869	99	48	>	>	X
ejpam-5869	99	49	−p	−p	NOUN
ejpam-5869	99	50	,	,	PUNCT
ejpam-5869	99	51	is	be	AUX
ejpam-5869	99	52	defined	define	VERB
ejpam-5869	99	53	by	by	ADP
ejpam-5869	99	54	(	(	PUNCT
ejpam-5869	99	55	see	see	VERB
ejpam-5869	99	56	[	[	X
ejpam-5869	99	57	23–26	23–26	NUM
ejpam-5869	99	58	]	]	NOUN
ejpam-5869	99	59	)	)	PUNCT
ejpam-5869	99	60	lp,µχ(ξ	lp,µχ(ξ	PROPN
ejpam-5869	99	61	)	)	PUNCT
ejpam-5869	99	62	=	=	NOUN
ejpam-5869	99	63	µ+	µ+	PUNCT
ejpam-5869	99	64	p	p	X
ejpam-5869	99	65	ξµ	ξµ	NUM
ejpam-5869	99	66	ξ∫	ξ∫	PROPN
ejpam-5869	99	67	0	0	NUM
ejpam-5869	99	68	tµ−1χ(t	tµ−1χ(t	NUM
ejpam-5869	99	69	)	)	PUNCT
ejpam-5869	99	70	dt	dt	X
ejpam-5869	99	71	(	(	PUNCT
ejpam-5869	99	72	µ	µ	X
ejpam-5869	99	73	>	>	X
ejpam-5869	99	74	−p	−p	NOUN
ejpam-5869	99	75	)	)	PUNCT
ejpam-5869	99	76	.	.	PUNCT
ejpam-5869	100	1	(	(	PUNCT
ejpam-5869	100	2	14	14	NUM
ejpam-5869	100	3	)	)	PUNCT
ejpam-5869	100	4	it	it	PRON
ejpam-5869	100	5	is	be	AUX
ejpam-5869	100	6	easy	easy	ADJ
ejpam-5869	100	7	to	to	PART
ejpam-5869	100	8	verify	verify	VERB
ejpam-5869	100	9	that	that	SCONJ
ejpam-5869	100	10	for	for	ADP
ejpam-5869	100	11	all	all	PRON
ejpam-5869	100	12	χ	χ	PRON
ejpam-5869	100	13	∈	∈	NOUN
ejpam-5869	100	14	ap	ap	INTJ
ejpam-5869	100	15	we	we	PRON
ejpam-5869	100	16	have	have	VERB
ejpam-5869	100	17	ξ	ξ	PROPN
ejpam-5869	100	18	(	(	PUNCT
ejpam-5869	100	19	lp,µχ(ξ	lp,µχ(ξ	NUM
ejpam-5869	100	20	)	)	PUNCT
ejpam-5869	100	21	)	)	PUNCT
ejpam-5869	100	22	′	′	NUM
ejpam-5869	101	1	=	=	PUNCT
ejpam-5869	101	2	(	(	PUNCT
ejpam-5869	101	3	µ+	µ+	X
ejpam-5869	101	4	p)χ(ξ)−	p)χ(ξ)−	NUM
ejpam-5869	101	5	µlp,µχ(ξ	µlp,µχ(ξ	NUM
ejpam-5869	101	6	)	)	PUNCT
ejpam-5869	101	7	.	.	PUNCT
ejpam-5869	102	1	(	(	PUNCT
ejpam-5869	102	2	15	15	NUM
ejpam-5869	102	3	)	)	PUNCT
ejpam-5869	102	4	theorem	theorem	NOUN
ejpam-5869	102	5	2	2	NUM
ejpam-5869	102	6	.	.	PUNCT
ejpam-5869	103	1	if	if	SCONJ
ejpam-5869	103	2	the	the	DET
ejpam-5869	103	3	function	function	NOUN
ejpam-5869	103	4	χ	χ	PROPN
ejpam-5869	103	5	∈	∈	PROPN
ejpam-5869	103	6	ap	ap	PROPN
ejpam-5869	103	7	satisfies	satisfy	VERB
ejpam-5869	103	8	the	the	DET
ejpam-5869	103	9	next	next	ADJ
ejpam-5869	103	10	subordination	subordination	NOUN
ejpam-5869	103	11	condition	condition	NOUN
ejpam-5869	103	12	(	(	PUNCT
ejpam-5869	103	13	1−	1−	NUM
ejpam-5869	103	14	α−	α−	ADP
ejpam-5869	103	15	β	β	X
ejpam-5869	103	16	α+	α+	X
ejpam-5869	103	17	β	β	X
ejpam-5869	103	18	λ	λ	PROPN
ejpam-5869	103	19	)	)	PUNCT
ejpam-5869	103	20	[	[	PUNCT
ejpam-5869	103	21	lp,µχ(ξ	lp,µχ(ξ	X
ejpam-5869	103	22	)	)	PUNCT
ejpam-5869	103	23	ξp	ξp	ADP
ejpam-5869	103	24	]	]	PUNCT
ejpam-5869	103	25	α−β	α−β	X
ejpam-5869	104	1	+	+	CCONJ
ejpam-5869	105	1	α−	α−	ADP
ejpam-5869	105	2	β	β	X
ejpam-5869	105	3	α+	α+	X
ejpam-5869	105	4	β	β	X
ejpam-5869	105	5	λ	λ	X
ejpam-5869	105	6	χ	χ	X
ejpam-5869	105	7	(	(	PUNCT
ejpam-5869	105	8	ξ	ξ	NOUN
ejpam-5869	105	9	)	)	PUNCT
ejpam-5869	105	10	lp,µχ(ξ	lp,µχ(ξ	NOUN
ejpam-5869	105	11	)	)	PUNCT
ejpam-5869	105	12	[	[	PUNCT
ejpam-5869	105	13	lp,µχ(ξ	lp,µχ(ξ	X
ejpam-5869	105	14	)	)	PUNCT
ejpam-5869	105	15	ξp	ξp	ADP
ejpam-5869	105	16	]	]	PUNCT
ejpam-5869	105	17	α−β	α−β	NOUN
ejpam-5869	105	18	≺	≺	NOUN
ejpam-5869	105	19	√	√	VERB
ejpam-5869	105	20	1	1	NUM
ejpam-5869	105	21	+	+	SYM
ejpam-5869	105	22	ξ	ξ	PROPN
ejpam-5869	105	23	,	,	PUNCT
ejpam-5869	105	24	(	(	PUNCT
ejpam-5869	105	25	16	16	NUM
ejpam-5869	105	26	)	)	PUNCT
ejpam-5869	105	27	with	with	ADP
ejpam-5869	105	28	λ	λ	PROPN
ejpam-5869	105	29	α+β	α+β	X
ejpam-5869	105	30	>	>	SYM
ejpam-5869	105	31	0	0	PUNCT
ejpam-5869	105	32	and	and	CCONJ
ejpam-5869	105	33	lp,µ	lp,µ	NOUN
ejpam-5869	105	34	is	be	AUX
ejpam-5869	105	35	the	the	DET
ejpam-5869	105	36	integral	integral	ADJ
ejpam-5869	105	37	operator	operator	NOUN
ejpam-5869	105	38	defined	define	VERB
ejpam-5869	105	39	by	by	ADP
ejpam-5869	105	40	(	(	PUNCT
ejpam-5869	105	41	14	14	NUM
ejpam-5869	105	42	)	)	PUNCT
ejpam-5869	105	43	,	,	PUNCT
ejpam-5869	105	44	then	then	ADV
ejpam-5869	105	45	[	[	PUNCT
ejpam-5869	105	46	lp,µχ(ξ	lp,µχ(ξ	X
ejpam-5869	105	47	)	)	PUNCT
ejpam-5869	105	48	ξp	ξp	ADP
ejpam-5869	105	49	]	]	PUNCT
ejpam-5869	105	50	α−β	α−β	PROPN
ejpam-5869	105	51	≺	≺	NOUN
ejpam-5869	105	52	k(ξ	k(ξ	NUM
ejpam-5869	105	53	)	)	PUNCT
ejpam-5869	105	54	=	=	PUNCT
ejpam-5869	106	1	(	(	PUNCT
ejpam-5869	106	2	1	1	NUM
ejpam-5869	106	3	+	+	SYM
ejpam-5869	106	4	ξ	ξ	X
ejpam-5869	106	5	)	)	PUNCT
ejpam-5869	106	6	1	1	NUM
ejpam-5869	106	7	2	2	NUM
ejpam-5869	106	8	2ω1	2ω1	NUM
ejpam-5869	106	9	(	(	PUNCT
ejpam-5869	106	10	−1	−1	NOUN
ejpam-5869	106	11	2	2	NUM
ejpam-5869	106	12	,	,	PUNCT
ejpam-5869	106	13	1	1	NUM
ejpam-5869	106	14	;	;	PUNCT
ejpam-5869	106	15	(	(	PUNCT
ejpam-5869	106	16	α+	α+	X
ejpam-5869	106	17	β	β	X
ejpam-5869	106	18	)	)	PUNCT
ejpam-5869	106	19	(	(	PUNCT
ejpam-5869	106	20	p+	p+	NOUN
ejpam-5869	106	21	µ	µ	X
ejpam-5869	106	22	)	)	PUNCT
ejpam-5869	106	23	λ	λ	NOUN
ejpam-5869	106	24	+	+	NOUN
ejpam-5869	106	25	1	1	NUM
ejpam-5869	106	26	;	;	PUNCT
ejpam-5869	106	27	ξ	ξ	X
ejpam-5869	106	28	1	1	NUM
ejpam-5869	106	29	+	+	SYM
ejpam-5869	106	30	ξ	ξ	X
ejpam-5869	106	31	)	)	PUNCT
ejpam-5869	106	32	≺	≺	NOUN
ejpam-5869	106	33	√	√	VERB
ejpam-5869	106	34	1	1	NUM
ejpam-5869	106	35	+	+	SYM
ejpam-5869	106	36	ξ	ξ	PROPN
ejpam-5869	106	37	,	,	PUNCT
ejpam-5869	106	38	where	where	SCONJ
ejpam-5869	106	39	the	the	DET
ejpam-5869	106	40	function	function	NOUN
ejpam-5869	106	41	k	k	PROPN
ejpam-5869	106	42	is	be	AUX
ejpam-5869	106	43	the	the	DET
ejpam-5869	106	44	best	good	ADJ
ejpam-5869	106	45	dominant	dominant	NOUN
ejpam-5869	106	46	of	of	ADP
ejpam-5869	106	47	(	(	PUNCT
ejpam-5869	106	48	16	16	NUM
ejpam-5869	106	49	)	)	PUNCT
ejpam-5869	106	50	.	.	PUNCT
ejpam-5869	107	1	proof	proof	NOUN
ejpam-5869	107	2	.	.	PUNCT
ejpam-5869	108	1	let	let	VERB
ejpam-5869	108	2	ρ(ξ	ρ(ξ	NOUN
ejpam-5869	108	3	)	)	PUNCT
ejpam-5869	109	1	=	=	PRON
ejpam-5869	109	2	[	[	PUNCT
ejpam-5869	109	3	lp,µχ(ξ	lp,µχ(ξ	X
ejpam-5869	109	4	)	)	PUNCT
ejpam-5869	109	5	ξp	ξp	ADP
ejpam-5869	109	6	]	]	PUNCT
ejpam-5869	109	7	α−β	α−β	X
ejpam-5869	109	8	(	(	PUNCT
ejpam-5869	109	9	ξ	ξ	PROPN
ejpam-5869	109	10	∈	∈	PROPN
ejpam-5869	109	11	u	u	NOUN
ejpam-5869	109	12	)	)	PUNCT
ejpam-5869	109	13	,	,	PUNCT
ejpam-5869	109	14	(	(	PUNCT
ejpam-5869	109	15	17	17	NUM
ejpam-5869	109	16	)	)	PUNCT
ejpam-5869	109	17	then	then	ADV
ejpam-5869	109	18	ρ	ρ	PROPN
ejpam-5869	109	19	is	be	AUX
ejpam-5869	109	20	analytic	analytic	ADJ
ejpam-5869	109	21	function	function	NOUN
ejpam-5869	109	22	in	in	ADP
ejpam-5869	109	23	u.	u.	NOUN
ejpam-5869	109	24	differentiating	differentiating	NOUN
ejpam-5869	109	25	(	(	PUNCT
ejpam-5869	109	26	17	17	NUM
ejpam-5869	109	27	)	)	PUNCT
ejpam-5869	109	28	with	with	ADP
ejpam-5869	109	29	respect	respect	NOUN
ejpam-5869	109	30	to	to	ADP
ejpam-5869	109	31	ξ	ξ	PROPN
ejpam-5869	109	32	and	and	CCONJ
ejpam-5869	109	33	using	use	VERB
ejpam-5869	109	34	(	(	PUNCT
ejpam-5869	109	35	16	16	NUM
ejpam-5869	109	36	)	)	PUNCT
ejpam-5869	109	37	in	in	ADP
ejpam-5869	109	38	the	the	DET
ejpam-5869	109	39	resulting	result	VERB
ejpam-5869	109	40	relation	relation	NOUN
ejpam-5869	109	41	,	,	PUNCT
ejpam-5869	109	42	we	we	PRON
ejpam-5869	109	43	get	get	VERB
ejpam-5869	109	44	(	(	PUNCT
ejpam-5869	109	45	1−	1−	NUM
ejpam-5869	109	46	α−	α−	ADP
ejpam-5869	109	47	β	β	X
ejpam-5869	109	48	α+	α+	X
ejpam-5869	109	49	β	β	X
ejpam-5869	109	50	λ	λ	PROPN
ejpam-5869	109	51	)	)	PUNCT
ejpam-5869	109	52	[	[	PUNCT
ejpam-5869	109	53	lp,µχ(ξ	lp,µχ(ξ	X
ejpam-5869	109	54	)	)	PUNCT
ejpam-5869	109	55	ξp	ξp	ADP
ejpam-5869	109	56	]	]	PUNCT
ejpam-5869	109	57	α−β	α−β	X
ejpam-5869	110	1	+	+	CCONJ
ejpam-5869	110	2	α−	α−	ADP
ejpam-5869	110	3	β	β	X
ejpam-5869	110	4	α+	α+	X
ejpam-5869	110	5	β	β	X
ejpam-5869	110	6	λ	λ	X
ejpam-5869	110	7	χ	χ	X
ejpam-5869	110	8	(	(	PUNCT
ejpam-5869	110	9	ξ	ξ	NOUN
ejpam-5869	110	10	)	)	PUNCT
ejpam-5869	110	11	lp,µχ(ξ	lp,µχ(ξ	NOUN
ejpam-5869	110	12	)	)	PUNCT
ejpam-5869	110	13	[	[	PUNCT
ejpam-5869	110	14	lp,µχ(ξ	lp,µχ(ξ	X
ejpam-5869	110	15	)	)	PUNCT
ejpam-5869	110	16	ξp	ξp	ADP
ejpam-5869	110	17	]	]	PUNCT
ejpam-5869	110	18	α−β	α−β	X
ejpam-5869	110	19	=	=	SYM
ejpam-5869	111	1	ρ(ξ	ρ(ξ	X
ejpam-5869	111	2	)	)	PUNCT
ejpam-5869	112	1	+	+	CCONJ
ejpam-5869	112	2	λξρ′	λξρ′	X
ejpam-5869	112	3	(	(	PUNCT
ejpam-5869	112	4	ξ	ξ	NOUN
ejpam-5869	112	5	)	)	PUNCT
ejpam-5869	112	6	(	(	PUNCT
ejpam-5869	112	7	α+	α+	X
ejpam-5869	112	8	β	β	X
ejpam-5869	112	9	)	)	PUNCT
ejpam-5869	112	10	(	(	PUNCT
ejpam-5869	112	11	p+	p+	NOUN
ejpam-5869	112	12	µ	µ	NUM
ejpam-5869	112	13	)	)	PUNCT
ejpam-5869	112	14	≺	≺	NOUN
ejpam-5869	112	15	√	√	VERB
ejpam-5869	112	16	1	1	NUM
ejpam-5869	113	1	+	+	SYM
ejpam-5869	113	2	ξ	ξ	X
ejpam-5869	113	3	.	.	PUNCT
ejpam-5869	114	1	using	use	VERB
ejpam-5869	114	2	the	the	DET
ejpam-5869	114	3	same	same	ADJ
ejpam-5869	114	4	method	method	NOUN
ejpam-5869	114	5	we	we	PRON
ejpam-5869	114	6	used	use	VERB
ejpam-5869	114	7	to	to	PART
ejpam-5869	114	8	prove	prove	VERB
ejpam-5869	114	9	theorem	theorem	ADJ
ejpam-5869	114	10	1	1	NUM
ejpam-5869	114	11	,	,	PUNCT
ejpam-5869	114	12	the	the	DET
ejpam-5869	114	13	remaining	remain	VERB
ejpam-5869	114	14	part	part	NOUN
ejpam-5869	114	15	of	of	ADP
ejpam-5869	114	16	this	this	DET
ejpam-5869	114	17	theorem	theorem	NOUN
ejpam-5869	114	18	can	can	AUX
ejpam-5869	114	19	be	be	AUX
ejpam-5869	114	20	derived	derive	VERB
ejpam-5869	114	21	in	in	ADP
ejpam-5869	114	22	a	a	DET
ejpam-5869	114	23	similar	similar	ADJ
ejpam-5869	114	24	way	way	NOUN
ejpam-5869	114	25	.	.	PUNCT
ejpam-5869	115	1	theorem	theorem	VERB
ejpam-5869	115	2	3	3	NUM
ejpam-5869	115	3	.	.	PUNCT
ejpam-5869	116	1	χ	χ	PRON
ejpam-5869	116	2	∈	∈	PROPN
ejpam-5869	116	3	bn	bn	ADP
ejpam-5869	116	4	p	p	X
ejpam-5869	116	5	(	(	PUNCT
ejpam-5869	116	6	λ	λ	PROPN
ejpam-5869	116	7	,	,	PUNCT
ejpam-5869	116	8	α	α	X
ejpam-5869	116	9	,	,	PUNCT
ejpam-5869	116	10	β	β	NOUN
ejpam-5869	116	11	)	)	PUNCT
ejpam-5869	117	1	if	if	SCONJ
ejpam-5869	117	2	and	and	CCONJ
ejpam-5869	117	3	only	only	ADV
ejpam-5869	117	4	if	if	SCONJ
ejpam-5869	117	5	[	[	PUNCT
ejpam-5869	117	6	χ	χ	X
ejpam-5869	117	7	(	(	PUNCT
ejpam-5869	117	8	ξ	ξ	NOUN
ejpam-5869	117	9	)	)	PUNCT
ejpam-5869	117	10	ξp	ξp	ADP
ejpam-5869	117	11	]	]	PUNCT
ejpam-5869	117	12	α−β	α−β	PROPN
ejpam-5869	117	13	∗	∗	NOUN
ejpam-5869	117	14	(	(	PUNCT
ejpam-5869	117	15	1−	1−	NUM
ejpam-5869	118	1	[	[	X
ejpam-5869	118	2	(	(	PUNCT
ejpam-5869	118	3	1	1	NUM
ejpam-5869	118	4	+	+	NUM
ejpam-5869	118	5	λ	λ	NOUN
ejpam-5869	118	6	p(α+β	p(α+β	NUM
ejpam-5869	118	7	)	)	PUNCT
ejpam-5869	118	8	)	)	PUNCT
ejpam-5869	118	9	e−iθ	e−iθ	NOUN
ejpam-5869	118	10	(	(	PUNCT
ejpam-5869	118	11	1	1	NUM
ejpam-5869	118	12	+	+	NUM
ejpam-5869	118	13	√	√	PROPN
ejpam-5869	118	14	1+eiθ	1+eiθ	NUM
ejpam-5869	118	15	)	)	PUNCT
ejpam-5869	119	1	+2	+2	ADV
ejpam-5869	119	2	]	]	PUNCT
ejpam-5869	119	3	ξ+	ξ+	PUNCT
ejpam-5869	119	4	[	[	PUNCT
ejpam-5869	119	5	e−iθ	e−iθ	X
ejpam-5869	119	6	(	(	PUNCT
ejpam-5869	119	7	1	1	NUM
ejpam-5869	119	8	+	+	NUM
ejpam-5869	119	9	√	√	PROPN
ejpam-5869	119	10	1+eiθ	1+eiθ	NUM
ejpam-5869	119	11	)	)	PUNCT
ejpam-5869	120	1	+1	+1	X
ejpam-5869	120	2	]	]	X
ejpam-5869	120	3	ξ2	ξ2	NOUN
ejpam-5869	120	4	(	(	PUNCT
ejpam-5869	120	5	1−ξ)2	1−ξ)2	NUM
ejpam-5869	120	6	)	)	PUNCT
ejpam-5869	120	7	̸=	̸=	PROPN
ejpam-5869	120	8	0	0	NUM
ejpam-5869	120	9	.	.	PUNCT
ejpam-5869	121	1	(	(	PUNCT
ejpam-5869	121	2	18	18	NUM
ejpam-5869	121	3	)	)	PUNCT
ejpam-5869	121	4	t.m	t.m	PROPN
ejpam-5869	121	5	.	.	PROPN
ejpam-5869	121	6	seoudy	seoudy	PROPN
ejpam-5869	121	7	,	,	PUNCT
ejpam-5869	121	8	a.e	a.e	PROPN
ejpam-5869	121	9	.	.	PROPN
ejpam-5869	121	10	shammaky	shammaky	PROPN
ejpam-5869	121	11	/	/	SYM
ejpam-5869	121	12	eur	eur	PROPN
ejpam-5869	121	13	.	.	PUNCT
ejpam-5869	122	1	j.	j.	PROPN
ejpam-5869	122	2	pure	pure	PROPN
ejpam-5869	122	3	appl	appl	PROPN
ejpam-5869	122	4	.	.	PROPN
ejpam-5869	122	5	math	math	PROPN
ejpam-5869	122	6	,	,	PUNCT
ejpam-5869	122	7	18	18	NUM
ejpam-5869	122	8	(	(	PUNCT
ejpam-5869	122	9	2	2	NUM
ejpam-5869	122	10	)	)	PUNCT
ejpam-5869	122	11	(	(	PUNCT
ejpam-5869	122	12	2025	2025	NUM
ejpam-5869	122	13	)	)	PUNCT
ejpam-5869	122	14	,	,	PUNCT
ejpam-5869	122	15	5869	5869	NUM
ejpam-5869	122	16	7	7	NUM
ejpam-5869	122	17	of	of	ADP
ejpam-5869	122	18	14	14	NUM
ejpam-5869	122	19	proof	proof	NOUN
ejpam-5869	122	20	.	.	PUNCT
ejpam-5869	123	1	for	for	ADP
ejpam-5869	123	2	any	any	DET
ejpam-5869	123	3	function	function	NOUN
ejpam-5869	123	4	χ	χ	PROPN
ejpam-5869	123	5	∈	∈	PROPN
ejpam-5869	123	6	ap	ap	PROPN
ejpam-5869	123	7	,	,	PUNCT
ejpam-5869	123	8	we	we	PRON
ejpam-5869	123	9	can	can	AUX
ejpam-5869	123	10	confrim	confrim	VERB
ejpam-5869	123	11	that	that	SCONJ
ejpam-5869	123	12	[	[	PUNCT
ejpam-5869	123	13	χ	χ	X
ejpam-5869	123	14	(	(	PUNCT
ejpam-5869	123	15	ξ	ξ	NOUN
ejpam-5869	123	16	)	)	PUNCT
ejpam-5869	123	17	ξp	ξp	ADP
ejpam-5869	123	18	]	]	PUNCT
ejpam-5869	123	19	α−β	α−β	X
ejpam-5869	124	1	=	=	PUNCT
ejpam-5869	125	1	[	[	PUNCT
ejpam-5869	125	2	χ	χ	X
ejpam-5869	125	3	(	(	PUNCT
ejpam-5869	125	4	ξ	ξ	NOUN
ejpam-5869	125	5	)	)	PUNCT
ejpam-5869	125	6	ξp	ξp	ADP
ejpam-5869	125	7	]	]	PUNCT
ejpam-5869	125	8	α−β	α−β	PROPN
ejpam-5869	125	9	∗	∗	NOUN
ejpam-5869	125	10	1	1	NUM
ejpam-5869	125	11	1−	1−	NUM
ejpam-5869	125	12	ξ	ξ	X
ejpam-5869	125	13	(	(	PUNCT
ejpam-5869	125	14	19	19	NUM
ejpam-5869	125	15	)	)	PUNCT
ejpam-5869	125	16	and	and	CCONJ
ejpam-5869	125	17	ξχ′	ξχ′	ADJ
ejpam-5869	125	18	(	(	PUNCT
ejpam-5869	125	19	ξ	ξ	NOUN
ejpam-5869	125	20	)	)	PUNCT
ejpam-5869	125	21	pχ	pχ	PROPN
ejpam-5869	125	22	(	(	PUNCT
ejpam-5869	125	23	ξ	ξ	NOUN
ejpam-5869	125	24	)	)	PUNCT
ejpam-5869	125	25	[	[	PUNCT
ejpam-5869	125	26	χ	χ	X
ejpam-5869	125	27	(	(	PUNCT
ejpam-5869	125	28	ξ	ξ	NOUN
ejpam-5869	125	29	)	)	PUNCT
ejpam-5869	125	30	ξp	ξp	ADP
ejpam-5869	125	31	]	]	PUNCT
ejpam-5869	125	32	α−β	α−β	X
ejpam-5869	125	33	=	=	PUNCT
ejpam-5869	126	1	[	[	PUNCT
ejpam-5869	126	2	χ	χ	X
ejpam-5869	126	3	(	(	PUNCT
ejpam-5869	126	4	ξ	ξ	NOUN
ejpam-5869	126	5	)	)	PUNCT
ejpam-5869	126	6	ξp	ξp	ADP
ejpam-5869	126	7	]	]	PUNCT
ejpam-5869	126	8	α−β	α−β	PROPN
ejpam-5869	126	9	∗	∗	NOUN
ejpam-5869	126	10	1−	1−	NUM
ejpam-5869	126	11	(	(	PUNCT
ejpam-5869	126	12	1−	1−	NUM
ejpam-5869	126	13	1	1	NUM
ejpam-5869	126	14	p(α−β	p(α−β	NOUN
ejpam-5869	126	15	)	)	PUNCT
ejpam-5869	126	16	)	)	PUNCT
ejpam-5869	127	1	ξ	ξ	X
ejpam-5869	127	2	(	(	PUNCT
ejpam-5869	127	3	1−	1−	NUM
ejpam-5869	127	4	ξ)2	ξ)2	NOUN
ejpam-5869	127	5	.	.	PUNCT
ejpam-5869	128	1	(	(	PUNCT
ejpam-5869	128	2	20	20	NUM
ejpam-5869	128	3	)	)	PUNCT
ejpam-5869	128	4	first	first	ADV
ejpam-5869	128	5	,	,	PUNCT
ejpam-5869	128	6	in	in	ADP
ejpam-5869	128	7	order	order	NOUN
ejpam-5869	128	8	to	to	PART
ejpam-5869	128	9	prove	prove	VERB
ejpam-5869	128	10	that	that	SCONJ
ejpam-5869	128	11	(	(	PUNCT
ejpam-5869	128	12	18	18	NUM
ejpam-5869	128	13	)	)	PUNCT
ejpam-5869	128	14	holds	hold	VERB
ejpam-5869	128	15	,	,	PUNCT
ejpam-5869	128	16	we	we	PRON
ejpam-5869	128	17	will	will	AUX
ejpam-5869	128	18	write	write	VERB
ejpam-5869	128	19	(	(	PUNCT
ejpam-5869	128	20	3	3	NUM
ejpam-5869	128	21	)	)	PUNCT
ejpam-5869	128	22	by	by	ADP
ejpam-5869	128	23	using	use	VERB
ejpam-5869	128	24	the	the	DET
ejpam-5869	128	25	principle	principle	NOUN
ejpam-5869	128	26	of	of	ADP
ejpam-5869	128	27	subordination	subordination	NOUN
ejpam-5869	128	28	,	,	PUNCT
ejpam-5869	128	29	that	that	ADV
ejpam-5869	128	30	is	is	ADV
ejpam-5869	128	31	,	,	PUNCT
ejpam-5869	128	32	(	(	PUNCT
ejpam-5869	128	33	1−	1−	NUM
ejpam-5869	128	34	α−	α−	ADP
ejpam-5869	128	35	β	β	X
ejpam-5869	128	36	α+	α+	X
ejpam-5869	128	37	β	β	X
ejpam-5869	128	38	λ	λ	NOUN
ejpam-5869	128	39	)	)	PUNCT
ejpam-5869	129	1	[	[	PUNCT
ejpam-5869	129	2	χ	χ	X
ejpam-5869	129	3	(	(	PUNCT
ejpam-5869	129	4	ξ	ξ	NOUN
ejpam-5869	129	5	)	)	PUNCT
ejpam-5869	129	6	ξp	ξp	ADP
ejpam-5869	129	7	]	]	PUNCT
ejpam-5869	129	8	α−β	α−β	X
ejpam-5869	129	9	+	+	CCONJ
ejpam-5869	129	10	α−	α−	ADP
ejpam-5869	129	11	β	β	X
ejpam-5869	129	12	α+	α+	X
ejpam-5869	129	13	β	β	PUNCT
ejpam-5869	129	14	λ	λ	X
ejpam-5869	129	15	ξχ′	ξχ′	PROPN
ejpam-5869	129	16	(	(	PUNCT
ejpam-5869	129	17	ξ	ξ	NOUN
ejpam-5869	129	18	)	)	PUNCT
ejpam-5869	129	19	pχ	pχ	PROPN
ejpam-5869	129	20	(	(	PUNCT
ejpam-5869	129	21	ξ	ξ	NOUN
ejpam-5869	129	22	)	)	PUNCT
ejpam-5869	129	23	[	[	PUNCT
ejpam-5869	129	24	χ	χ	X
ejpam-5869	129	25	(	(	PUNCT
ejpam-5869	129	26	ξ	ξ	NOUN
ejpam-5869	129	27	)	)	PUNCT
ejpam-5869	129	28	ξp	ξp	ADP
ejpam-5869	129	29	]	]	PUNCT
ejpam-5869	129	30	α−β	α−β	X
ejpam-5869	129	31	=	=	SYM
ejpam-5869	129	32	√	√	ADV
ejpam-5869	129	33	1	1	NUM
ejpam-5869	129	34	+	+	CCONJ
ejpam-5869	129	35	w(ξ	w(ξ	NOUN
ejpam-5869	129	36	)	)	PUNCT
ejpam-5869	129	37	,	,	PUNCT
ejpam-5869	129	38	where	where	SCONJ
ejpam-5869	129	39	w	w	PROPN
ejpam-5869	129	40	(	(	PUNCT
ejpam-5869	129	41	ξ	ξ	NOUN
ejpam-5869	129	42	)	)	PUNCT
ejpam-5869	129	43	is	be	AUX
ejpam-5869	129	44	a	a	DET
ejpam-5869	129	45	schwarz	schwarz	PROPN
ejpam-5869	129	46	function	function	NOUN
ejpam-5869	129	47	,	,	PUNCT
ejpam-5869	129	48	hence	hence	ADV
ejpam-5869	129	49	(	(	PUNCT
ejpam-5869	129	50	1−	1−	NUM
ejpam-5869	129	51	α−	α−	ADP
ejpam-5869	129	52	β	β	X
ejpam-5869	129	53	α+	α+	X
ejpam-5869	129	54	β	β	X
ejpam-5869	129	55	λ	λ	NOUN
ejpam-5869	129	56	)	)	PUNCT
ejpam-5869	129	57	[	[	PUNCT
ejpam-5869	129	58	χ	χ	X
ejpam-5869	129	59	(	(	PUNCT
ejpam-5869	129	60	ξ	ξ	NOUN
ejpam-5869	129	61	)	)	PUNCT
ejpam-5869	129	62	ξp	ξp	ADP
ejpam-5869	129	63	]	]	PUNCT
ejpam-5869	129	64	α−β	α−β	X
ejpam-5869	129	65	+	+	CCONJ
ejpam-5869	129	66	α−	α−	ADP
ejpam-5869	129	67	β	β	X
ejpam-5869	129	68	α+	α+	X
ejpam-5869	129	69	β	β	PUNCT
ejpam-5869	129	70	λ	λ	X
ejpam-5869	129	71	ξχ′	ξχ′	PROPN
ejpam-5869	129	72	(	(	PUNCT
ejpam-5869	129	73	ξ	ξ	NOUN
ejpam-5869	129	74	)	)	PUNCT
ejpam-5869	129	75	pχ	pχ	PROPN
ejpam-5869	129	76	(	(	PUNCT
ejpam-5869	129	77	ξ	ξ	NOUN
ejpam-5869	129	78	)	)	PUNCT
ejpam-5869	129	79	[	[	PUNCT
ejpam-5869	129	80	χ	χ	X
ejpam-5869	129	81	(	(	PUNCT
ejpam-5869	129	82	ξ	ξ	NOUN
ejpam-5869	129	83	)	)	PUNCT
ejpam-5869	129	84	ξp	ξp	ADP
ejpam-5869	129	85	]	]	PUNCT
ejpam-5869	129	86	α−β	α−β	PROPN
ejpam-5869	129	87	̸=	̸=	PROPN
ejpam-5869	129	88	√	√	ADV
ejpam-5869	129	89	1	1	NUM
ejpam-5869	129	90	+	+	CCONJ
ejpam-5869	129	91	eiθ	eiθ	PROPN
ejpam-5869	129	92	,	,	PUNCT
ejpam-5869	129	93	(	(	PUNCT
ejpam-5869	129	94	21	21	NUM
ejpam-5869	129	95	)	)	PUNCT
ejpam-5869	129	96	for	for	ADP
ejpam-5869	129	97	all	all	DET
ejpam-5869	129	98	ξ	ξ	PROPN
ejpam-5869	129	99	∈	∈	PROPN
ejpam-5869	129	100	u	u	NOUN
ejpam-5869	129	101	and	and	CCONJ
ejpam-5869	129	102	0	0	NUM
ejpam-5869	129	103	≤	≤	NUM
ejpam-5869	129	104	θ	θ	NOUN
ejpam-5869	129	105	<	<	X
ejpam-5869	129	106	2π	2π	NOUN
ejpam-5869	129	107	.	.	PUNCT
ejpam-5869	130	1	from	from	ADP
ejpam-5869	130	2	(	(	PUNCT
ejpam-5869	130	3	19	19	NUM
ejpam-5869	130	4	)	)	PUNCT
ejpam-5869	130	5	and	and	CCONJ
ejpam-5869	130	6	(	(	PUNCT
ejpam-5869	130	7	20	20	NUM
ejpam-5869	130	8	)	)	PUNCT
ejpam-5869	130	9	,	,	PUNCT
ejpam-5869	130	10	the	the	DET
ejpam-5869	130	11	relation	relation	NOUN
ejpam-5869	130	12	(	(	PUNCT
ejpam-5869	130	13	21	21	NUM
ejpam-5869	130	14	)	)	PUNCT
ejpam-5869	130	15	may	may	AUX
ejpam-5869	130	16	be	be	AUX
ejpam-5869	130	17	written	write	VERB
ejpam-5869	130	18	as	as	ADP
ejpam-5869	130	19	[	[	PUNCT
ejpam-5869	130	20	χ	χ	X
ejpam-5869	130	21	(	(	PUNCT
ejpam-5869	130	22	ξ	ξ	NOUN
ejpam-5869	130	23	)	)	PUNCT
ejpam-5869	130	24	ξp	ξp	ADP
ejpam-5869	130	25	]	]	PUNCT
ejpam-5869	130	26	α−β	α−β	PROPN
ejpam-5869	130	27	∗	∗	NOUN
ejpam-5869	130	28	1−√	1−√	NUM
ejpam-5869	130	29	1	1	NUM
ejpam-5869	130	30	+	+	CCONJ
ejpam-5869	130	31	eiθ	eiθ	NOUN
ejpam-5869	130	32	−	−	PROPN
ejpam-5869	130	33	(	(	PUNCT
ejpam-5869	130	34	1−	1−	NUM
ejpam-5869	130	35	λ	λ	NOUN
ejpam-5869	130	36	p(α+β	p(α+β	NUM
ejpam-5869	130	37	)	)	PUNCT
ejpam-5869	130	38	−	−	NUM
ejpam-5869	130	39	2	2	NUM
ejpam-5869	130	40	√	√	NUM
ejpam-5869	130	41	1	1	NUM
ejpam-5869	130	42	+	+	CCONJ
ejpam-5869	130	43	eiθ	eiθ	NUM
ejpam-5869	130	44	)	)	PUNCT
ejpam-5869	131	1	ξ	ξ	PROPN
ejpam-5869	131	2	−	−	NOUN
ejpam-5869	131	3	√	√	NOUN
ejpam-5869	131	4	1	1	NUM
ejpam-5869	131	5	+	+	NUM
ejpam-5869	131	6	eiθξ2	eiθξ2	NOUN
ejpam-5869	131	7	(	(	PUNCT
ejpam-5869	131	8	1−	1−	NUM
ejpam-5869	131	9	ξ)2	ξ)2	NOUN
ejpam-5869	131	10			NOUN
ejpam-5869	131	11	̸=	̸=	PROPN
ejpam-5869	131	12	0	0	NUM
ejpam-5869	131	13	,	,	PUNCT
ejpam-5869	131	14	which	which	PRON
ejpam-5869	131	15	is	be	AUX
ejpam-5869	131	16	equivalent	equivalent	ADJ
ejpam-5869	131	17	to	to	ADP
ejpam-5869	131	18	[	[	PUNCT
ejpam-5869	131	19	χ	χ	X
ejpam-5869	131	20	(	(	PUNCT
ejpam-5869	131	21	ξ	ξ	NOUN
ejpam-5869	131	22	)	)	PUNCT
ejpam-5869	131	23	ξp	ξp	ADP
ejpam-5869	131	24	]	]	PUNCT
ejpam-5869	131	25	α−β	α−β	PROPN
ejpam-5869	131	26	∗	∗	NOUN
ejpam-5869	131	27	[	[	PUNCT
ejpam-5869	131	28	1−	1−	NUM
ejpam-5869	132	1	[	[	X
ejpam-5869	132	2	(	(	PUNCT
ejpam-5869	132	3	1	1	NUM
ejpam-5869	132	4	+	+	NUM
ejpam-5869	132	5	λ	λ	NOUN
ejpam-5869	132	6	p(α+β	p(α+β	NUM
ejpam-5869	132	7	)	)	PUNCT
ejpam-5869	132	8	)	)	PUNCT
ejpam-5869	132	9	e−iθ	e−iθ	NOUN
ejpam-5869	132	10	(	(	PUNCT
ejpam-5869	132	11	1	1	NUM
ejpam-5869	132	12	+	+	NUM
ejpam-5869	132	13	√	√	PROPN
ejpam-5869	132	14	1+eiθ	1+eiθ	NUM
ejpam-5869	132	15	)	)	PUNCT
ejpam-5869	133	1	+2	+2	ADV
ejpam-5869	133	2	]	]	PUNCT
ejpam-5869	133	3	ξ+	ξ+	PUNCT
ejpam-5869	133	4	[	[	PUNCT
ejpam-5869	133	5	e−iθ	e−iθ	X
ejpam-5869	133	6	(	(	PUNCT
ejpam-5869	133	7	1	1	NUM
ejpam-5869	133	8	+	+	NUM
ejpam-5869	133	9	√	√	PROPN
ejpam-5869	133	10	1+eiθ	1+eiθ	NUM
ejpam-5869	133	11	)	)	PUNCT
ejpam-5869	134	1	+1	+1	X
ejpam-5869	134	2	]	]	X
ejpam-5869	134	3	ξ2	ξ2	NOUN
ejpam-5869	134	4	(	(	PUNCT
ejpam-5869	134	5	1−ξ)2	1−ξ)2	NUM
ejpam-5869	134	6	]	]	X
ejpam-5869	134	7	̸=	̸=	PROPN
ejpam-5869	134	8	0	0	NUM
ejpam-5869	134	9	,	,	PUNCT
ejpam-5869	134	10	that	that	ADV
ejpam-5869	134	11	is	is	ADV
ejpam-5869	134	12	(	(	PUNCT
ejpam-5869	134	13	18	18	NUM
ejpam-5869	134	14	)	)	PUNCT
ejpam-5869	134	15	.	.	PUNCT
ejpam-5869	135	1	reversely	reversely	ADV
ejpam-5869	135	2	,	,	PUNCT
ejpam-5869	135	3	let	let	VERB
ejpam-5869	135	4	χ	χ	PRON
ejpam-5869	135	5	∈	∈	PROPN
ejpam-5869	135	6	ap	ap	PROPN
ejpam-5869	135	7	satisfy	satisfy	VERB
ejpam-5869	135	8	the	the	DET
ejpam-5869	135	9	condition	condition	NOUN
ejpam-5869	135	10	(	(	PUNCT
ejpam-5869	135	11	18	18	NUM
ejpam-5869	135	12	)	)	PUNCT
ejpam-5869	135	13	.	.	PUNCT
ejpam-5869	136	1	like	like	INTJ
ejpam-5869	136	2	it	it	PRON
ejpam-5869	136	3	was	be	AUX
ejpam-5869	136	4	previously	previously	ADV
ejpam-5869	136	5	shown	show	VERB
ejpam-5869	136	6	,	,	PUNCT
ejpam-5869	136	7	the	the	DET
ejpam-5869	136	8	assumption	assumption	NOUN
ejpam-5869	136	9	(	(	PUNCT
ejpam-5869	136	10	18	18	NUM
ejpam-5869	136	11	)	)	PUNCT
ejpam-5869	136	12	is	be	AUX
ejpam-5869	136	13	equivalent	equivalent	ADJ
ejpam-5869	136	14	to	to	ADP
ejpam-5869	136	15	(	(	PUNCT
ejpam-5869	136	16	20	20	NUM
ejpam-5869	136	17	)	)	PUNCT
ejpam-5869	136	18	,	,	PUNCT
ejpam-5869	136	19	that	that	ADV
ejpam-5869	136	20	is	is	ADV
ejpam-5869	136	21	,	,	PUNCT
ejpam-5869	136	22	(	(	PUNCT
ejpam-5869	136	23	1−	1−	NUM
ejpam-5869	136	24	α−	α−	ADP
ejpam-5869	136	25	β	β	X
ejpam-5869	136	26	α+	α+	X
ejpam-5869	136	27	β	β	X
ejpam-5869	136	28	λ	λ	NOUN
ejpam-5869	136	29	)	)	PUNCT
ejpam-5869	137	1	[	[	PUNCT
ejpam-5869	137	2	χ	χ	X
ejpam-5869	137	3	(	(	PUNCT
ejpam-5869	137	4	ξ	ξ	NOUN
ejpam-5869	137	5	)	)	PUNCT
ejpam-5869	137	6	ξp	ξp	ADP
ejpam-5869	137	7	]	]	PUNCT
ejpam-5869	137	8	α−β	α−β	X
ejpam-5869	137	9	+	+	CCONJ
ejpam-5869	137	10	α−	α−	ADP
ejpam-5869	137	11	β	β	X
ejpam-5869	137	12	α+	α+	X
ejpam-5869	137	13	β	β	PUNCT
ejpam-5869	137	14	λ	λ	X
ejpam-5869	137	15	ξχ′	ξχ′	PROPN
ejpam-5869	137	16	(	(	PUNCT
ejpam-5869	137	17	ξ	ξ	NOUN
ejpam-5869	137	18	)	)	PUNCT
ejpam-5869	137	19	pχ	pχ	PROPN
ejpam-5869	137	20	(	(	PUNCT
ejpam-5869	137	21	ξ	ξ	NOUN
ejpam-5869	137	22	)	)	PUNCT
ejpam-5869	137	23	[	[	PUNCT
ejpam-5869	137	24	χ	χ	X
ejpam-5869	137	25	(	(	PUNCT
ejpam-5869	137	26	ξ	ξ	NOUN
ejpam-5869	137	27	)	)	PUNCT
ejpam-5869	137	28	ξp	ξp	ADP
ejpam-5869	137	29	]	]	PUNCT
ejpam-5869	137	30	α−β	α−β	PROPN
ejpam-5869	137	31	̸=	̸=	PROPN
ejpam-5869	137	32	√	√	ADV
ejpam-5869	137	33	1	1	NUM
ejpam-5869	137	34	+	+	CCONJ
ejpam-5869	137	35	eiθ	eiθ	PROPN
ejpam-5869	137	36	(	(	PUNCT
ejpam-5869	137	37	ξ	ξ	PROPN
ejpam-5869	137	38	∈	∈	PROPN
ejpam-5869	137	39	u	u	NOUN
ejpam-5869	137	40	)	)	PUNCT
ejpam-5869	137	41	.	.	PUNCT
ejpam-5869	138	1	(	(	PUNCT
ejpam-5869	138	2	22	22	X
ejpam-5869	138	3	)	)	PUNCT
ejpam-5869	138	4	denoting	denote	VERB
ejpam-5869	138	5	φ(ξ	φ(ξ	NOUN
ejpam-5869	138	6	)	)	PUNCT
ejpam-5869	138	7	=	=	PUNCT
ejpam-5869	139	1	(	(	PUNCT
ejpam-5869	139	2	1−	1−	NUM
ejpam-5869	139	3	α−	α−	ADP
ejpam-5869	139	4	β	β	X
ejpam-5869	139	5	α+	α+	X
ejpam-5869	139	6	β	β	X
ejpam-5869	139	7	λ	λ	NOUN
ejpam-5869	139	8	)	)	PUNCT
ejpam-5869	139	9	[	[	PUNCT
ejpam-5869	139	10	χ	χ	X
ejpam-5869	139	11	(	(	PUNCT
ejpam-5869	139	12	ξ	ξ	NOUN
ejpam-5869	139	13	)	)	PUNCT
ejpam-5869	139	14	ξp	ξp	ADP
ejpam-5869	139	15	]	]	PUNCT
ejpam-5869	139	16	α−β	α−β	X
ejpam-5869	139	17	+	+	CCONJ
ejpam-5869	139	18	α−	α−	ADP
ejpam-5869	139	19	β	β	X
ejpam-5869	139	20	α+	α+	X
ejpam-5869	139	21	β	β	PUNCT
ejpam-5869	139	22	λ	λ	X
ejpam-5869	139	23	ξχ′	ξχ′	PROPN
ejpam-5869	139	24	(	(	PUNCT
ejpam-5869	139	25	ξ	ξ	NOUN
ejpam-5869	139	26	)	)	PUNCT
ejpam-5869	139	27	pχ	pχ	PROPN
ejpam-5869	139	28	(	(	PUNCT
ejpam-5869	139	29	ξ	ξ	NOUN
ejpam-5869	139	30	)	)	PUNCT
ejpam-5869	139	31	[	[	PUNCT
ejpam-5869	139	32	χ	χ	X
ejpam-5869	139	33	(	(	PUNCT
ejpam-5869	139	34	ξ	ξ	NOUN
ejpam-5869	139	35	)	)	PUNCT
ejpam-5869	139	36	ξp	ξp	ADP
ejpam-5869	139	37	]	]	PUNCT
ejpam-5869	139	38	α−β	α−β	PROPN
ejpam-5869	139	39	and	and	CCONJ
ejpam-5869	139	40	ψ(ξ	ψ(ξ	PROPN
ejpam-5869	139	41	)	)	PUNCT
ejpam-5869	140	1	=	=	PUNCT
ejpam-5869	141	1	√	√	NUM
ejpam-5869	141	2	1	1	NUM
ejpam-5869	141	3	+	+	SYM
ejpam-5869	141	4	ξ	ξ	PROPN
ejpam-5869	141	5	,	,	PUNCT
ejpam-5869	141	6	the	the	DET
ejpam-5869	141	7	relation	relation	NOUN
ejpam-5869	141	8	(	(	PUNCT
ejpam-5869	141	9	22	22	NUM
ejpam-5869	141	10	)	)	PUNCT
ejpam-5869	141	11	could	could	AUX
ejpam-5869	141	12	be	be	AUX
ejpam-5869	141	13	written	write	VERB
ejpam-5869	141	14	as	as	ADP
ejpam-5869	141	15	φ(u	φ(u	NOUN
ejpam-5869	141	16	)	)	PUNCT
ejpam-5869	141	17	∩	∩	NOUN
ejpam-5869	141	18	ψ(∂u	ψ(∂u	NOUN
ejpam-5869	141	19	)	)	PUNCT
ejpam-5869	141	20	=	=	PUNCT
ejpam-5869	141	21	∅.	∅.	VERB
ejpam-5869	141	22	therefore	therefore	ADV
ejpam-5869	141	23	,	,	PUNCT
ejpam-5869	141	24	the	the	DET
ejpam-5869	141	25	simply	simply	ADV
ejpam-5869	141	26	connected	connected	ADJ
ejpam-5869	141	27	domain	domain	NOUN
ejpam-5869	141	28	φ(u	φ(u	NOUN
ejpam-5869	141	29	)	)	PUNCT
ejpam-5869	141	30	is	be	AUX
ejpam-5869	141	31	included	include	VERB
ejpam-5869	141	32	in	in	ADP
ejpam-5869	141	33	a	a	DET
ejpam-5869	141	34	connected	connected	ADJ
ejpam-5869	141	35	component	component	NOUN
ejpam-5869	141	36	of	of	ADP
ejpam-5869	141	37	c	c	NOUN
ejpam-5869	141	38	\	\	PROPN
ejpam-5869	141	39	ψ(∂u	ψ(∂u	PROPN
ejpam-5869	141	40	)	)	PUNCT
ejpam-5869	141	41	.	.	PUNCT
ejpam-5869	142	1	from	from	ADP
ejpam-5869	142	2	this	this	DET
ejpam-5869	142	3	fact	fact	NOUN
ejpam-5869	142	4	,	,	PUNCT
ejpam-5869	142	5	using	use	VERB
ejpam-5869	142	6	that	that	DET
ejpam-5869	142	7	φ(0	φ(0	ADJ
ejpam-5869	142	8	)	)	PUNCT
ejpam-5869	142	9	=	=	PUNCT
ejpam-5869	142	10	ψ(0	ψ(0	NOUN
ejpam-5869	142	11	)	)	PUNCT
ejpam-5869	142	12	=	=	PUNCT
ejpam-5869	143	1	1	1	NUM
ejpam-5869	143	2	together	together	ADV
ejpam-5869	143	3	with	with	ADP
ejpam-5869	143	4	the	the	DET
ejpam-5869	143	5	univalence	univalence	NOUN
ejpam-5869	143	6	of	of	ADP
ejpam-5869	143	7	the	the	DET
ejpam-5869	143	8	function	function	NOUN
ejpam-5869	143	9	ψ	ψ	NOUN
ejpam-5869	143	10	,	,	PUNCT
ejpam-5869	143	11	it	it	PRON
ejpam-5869	143	12	follows	follow	VERB
ejpam-5869	143	13	that	that	SCONJ
ejpam-5869	143	14	φ(ξ	φ(ξ	NOUN
ejpam-5869	143	15	)	)	PUNCT
ejpam-5869	143	16	≺	≺	NOUN
ejpam-5869	143	17	ψ(ξ	ψ(ξ	PROPN
ejpam-5869	143	18	)	)	PUNCT
ejpam-5869	143	19	,	,	PUNCT
ejpam-5869	143	20	that	that	PRON
ejpam-5869	143	21	is	be	AUX
ejpam-5869	143	22	χ	χ	PRON
ejpam-5869	143	23	∈	∈	PROPN
ejpam-5869	143	24	bn	bn	ADP
ejpam-5869	143	25	p	p	PROPN
ejpam-5869	143	26	(	(	PUNCT
ejpam-5869	143	27	λ	λ	PROPN
ejpam-5869	143	28	,	,	PUNCT
ejpam-5869	143	29	α	α	X
ejpam-5869	143	30	,	,	PUNCT
ejpam-5869	143	31	β	β	NOUN
ejpam-5869	143	32	)	)	PUNCT
ejpam-5869	143	33	.	.	PUNCT
ejpam-5869	144	1	taking	take	VERB
ejpam-5869	144	2	β	β	NOUN
ejpam-5869	144	3	=	=	SYM
ejpam-5869	144	4	0	0	PUNCT
ejpam-5869	144	5	in	in	ADP
ejpam-5869	144	6	theorem	theorem	NOUN
ejpam-5869	144	7	1	1	NUM
ejpam-5869	144	8	,	,	PUNCT
ejpam-5869	144	9	we	we	PRON
ejpam-5869	144	10	get	get	VERB
ejpam-5869	144	11	t.m	t.m	PROPN
ejpam-5869	144	12	.	.	PROPN
ejpam-5869	144	13	seoudy	seoudy	PROPN
ejpam-5869	144	14	,	,	PUNCT
ejpam-5869	144	15	a.e	a.e	PROPN
ejpam-5869	144	16	.	.	PROPN
ejpam-5869	144	17	shammaky	shammaky	PROPN
ejpam-5869	144	18	/	/	SYM
ejpam-5869	144	19	eur	eur	PROPN
ejpam-5869	144	20	.	.	PUNCT
ejpam-5869	145	1	j.	j.	PROPN
ejpam-5869	145	2	pure	pure	PROPN
ejpam-5869	145	3	appl	appl	PROPN
ejpam-5869	145	4	.	.	PROPN
ejpam-5869	145	5	math	math	PROPN
ejpam-5869	145	6	,	,	PUNCT
ejpam-5869	145	7	18	18	NUM
ejpam-5869	145	8	(	(	PUNCT
ejpam-5869	145	9	2	2	NUM
ejpam-5869	145	10	)	)	PUNCT
ejpam-5869	145	11	(	(	PUNCT
ejpam-5869	145	12	2025	2025	NUM
ejpam-5869	145	13	)	)	PUNCT
ejpam-5869	145	14	,	,	PUNCT
ejpam-5869	145	15	5869	5869	NUM
ejpam-5869	145	16	8	8	NUM
ejpam-5869	145	17	of	of	ADP
ejpam-5869	145	18	14	14	NUM
ejpam-5869	145	19	corollary	corollary	ADJ
ejpam-5869	145	20	3	3	NUM
ejpam-5869	145	21	.	.	PUNCT
ejpam-5869	146	1	χ	χ	PRON
ejpam-5869	146	2	∈	∈	PROPN
ejpam-5869	146	3	bp	bp	PROPN
ejpam-5869	146	4	(	(	PUNCT
ejpam-5869	146	5	λ	λ	PROPN
ejpam-5869	146	6	,	,	PUNCT
ejpam-5869	146	7	α	α	NOUN
ejpam-5869	146	8	)	)	PUNCT
ejpam-5869	146	9	if	if	SCONJ
ejpam-5869	147	1	and	and	CCONJ
ejpam-5869	147	2	only	only	ADV
ejpam-5869	147	3	if	if	SCONJ
ejpam-5869	147	4	(	(	PUNCT
ejpam-5869	147	5	χ	χ	X
ejpam-5869	147	6	(	(	PUNCT
ejpam-5869	147	7	ξ	ξ	NOUN
ejpam-5869	147	8	)	)	PUNCT
ejpam-5869	147	9	ξp	ξp	NOUN
ejpam-5869	147	10	)	)	PUNCT
ejpam-5869	147	11	α	α	NOUN
ejpam-5869	147	12	∗	∗	NOUN
ejpam-5869	147	13	(	(	PUNCT
ejpam-5869	147	14	1−	1−	NUM
ejpam-5869	147	15	[	[	X
ejpam-5869	147	16	(	(	PUNCT
ejpam-5869	147	17	1	1	NUM
ejpam-5869	147	18	+	+	NUM
ejpam-5869	147	19	λ	λ	PROPN
ejpam-5869	147	20	pα	pα	NOUN
ejpam-5869	147	21	)	)	PUNCT
ejpam-5869	147	22	e−iθ	e−iθ	NOUN
ejpam-5869	147	23	(	(	PUNCT
ejpam-5869	147	24	1	1	NUM
ejpam-5869	147	25	+	+	NUM
ejpam-5869	147	26	√	√	PROPN
ejpam-5869	147	27	1+eiθ	1+eiθ	NUM
ejpam-5869	147	28	)	)	PUNCT
ejpam-5869	148	1	+2	+2	ADV
ejpam-5869	148	2	]	]	PUNCT
ejpam-5869	148	3	ξ+	ξ+	PUNCT
ejpam-5869	148	4	[	[	PUNCT
ejpam-5869	148	5	e−iθ	e−iθ	X
ejpam-5869	148	6	(	(	PUNCT
ejpam-5869	148	7	1	1	NUM
ejpam-5869	148	8	+	+	NUM
ejpam-5869	148	9	√	√	PROPN
ejpam-5869	148	10	1+eiθ	1+eiθ	NUM
ejpam-5869	148	11	)	)	PUNCT
ejpam-5869	149	1	+1	+1	X
ejpam-5869	149	2	]	]	X
ejpam-5869	149	3	ξ2	ξ2	NOUN
ejpam-5869	149	4	(	(	PUNCT
ejpam-5869	149	5	1−ξ)2	1−ξ)2	NUM
ejpam-5869	149	6	)	)	PUNCT
ejpam-5869	149	7	̸=	̸=	PROPN
ejpam-5869	149	8	0	0	NUM
ejpam-5869	149	9	.	.	PUNCT
ejpam-5869	150	1	taking	take	VERB
ejpam-5869	150	2	α	α	NOUN
ejpam-5869	150	3	=	=	SYM
ejpam-5869	150	4	0	0	NUM
ejpam-5869	150	5	in	in	ADP
ejpam-5869	150	6	theorem	theorem	NOUN
ejpam-5869	150	7	1	1	NUM
ejpam-5869	150	8	,	,	PUNCT
ejpam-5869	150	9	we	we	PRON
ejpam-5869	150	10	get	get	VERB
ejpam-5869	150	11	corollary	corollary	ADJ
ejpam-5869	150	12	4	4	NUM
ejpam-5869	150	13	.	.	PUNCT
ejpam-5869	151	1	χ	χ	ADP
ejpam-5869	151	2	∈	∈	PROPN
ejpam-5869	151	3	np	np	INTJ
ejpam-5869	151	4	(	(	PUNCT
ejpam-5869	151	5	λ	λ	PROPN
ejpam-5869	151	6	,	,	PUNCT
ejpam-5869	151	7	β	β	NOUN
ejpam-5869	151	8	)	)	PUNCT
ejpam-5869	151	9	if	if	SCONJ
ejpam-5869	151	10	and	and	CCONJ
ejpam-5869	151	11	only	only	ADV
ejpam-5869	151	12	if	if	SCONJ
ejpam-5869	151	13	(	(	PUNCT
ejpam-5869	151	14	ξp	ξp	NUM
ejpam-5869	151	15	χ	χ	X
ejpam-5869	151	16	(	(	PUNCT
ejpam-5869	151	17	ξ	ξ	NOUN
ejpam-5869	151	18	)	)	PUNCT
ejpam-5869	151	19	)	)	PUNCT
ejpam-5869	152	1	β	β	PROPN
ejpam-5869	152	2	∗	∗	NOUN
ejpam-5869	152	3	(	(	PUNCT
ejpam-5869	152	4	1−	1−	NUM
ejpam-5869	153	1	[	[	X
ejpam-5869	153	2	(	(	PUNCT
ejpam-5869	153	3	1	1	NUM
ejpam-5869	153	4	+	+	NUM
ejpam-5869	153	5	λ	λ	PROPN
ejpam-5869	153	6	pβ	pβ	ADJ
ejpam-5869	153	7	)	)	PUNCT
ejpam-5869	153	8	e−iθ	e−iθ	NOUN
ejpam-5869	153	9	(	(	PUNCT
ejpam-5869	153	10	1	1	NUM
ejpam-5869	153	11	+	+	NUM
ejpam-5869	153	12	√	√	PROPN
ejpam-5869	153	13	1+eiθ	1+eiθ	NUM
ejpam-5869	153	14	)	)	PUNCT
ejpam-5869	154	1	+2	+2	ADV
ejpam-5869	154	2	]	]	PUNCT
ejpam-5869	154	3	ξ+	ξ+	PUNCT
ejpam-5869	154	4	[	[	PUNCT
ejpam-5869	154	5	e−iθ	e−iθ	X
ejpam-5869	154	6	(	(	PUNCT
ejpam-5869	154	7	1	1	NUM
ejpam-5869	154	8	+	+	NUM
ejpam-5869	154	9	√	√	PROPN
ejpam-5869	154	10	1+eiθ	1+eiθ	NUM
ejpam-5869	154	11	)	)	PUNCT
ejpam-5869	155	1	+1	+1	X
ejpam-5869	155	2	]	]	X
ejpam-5869	155	3	ξ2	ξ2	NOUN
ejpam-5869	155	4	(	(	PUNCT
ejpam-5869	155	5	1−ξ)2	1−ξ)2	NUM
ejpam-5869	155	6	)	)	PUNCT
ejpam-5869	155	7	̸=	̸=	PROPN
ejpam-5869	155	8	0	0	NUM
ejpam-5869	155	9	.	.	PUNCT
ejpam-5869	156	1	theorem	theorem	NOUN
ejpam-5869	156	2	4	4	NUM
ejpam-5869	156	3	.	.	PUNCT
ejpam-5869	157	1	if	if	SCONJ
ejpam-5869	157	2	χ	χ	X
ejpam-5869	157	3	(	(	PUNCT
ejpam-5869	157	4	ξ	ξ	NOUN
ejpam-5869	157	5	)	)	PUNCT
ejpam-5869	157	6	given	give	VERB
ejpam-5869	157	7	by	by	ADP
ejpam-5869	157	8	(	(	PUNCT
ejpam-5869	157	9	1	1	NUM
ejpam-5869	157	10	)	)	PUNCT
ejpam-5869	157	11	belongs	belong	VERB
ejpam-5869	157	12	to	to	ADP
ejpam-5869	157	13	bn	bn	PROPN
ejpam-5869	157	14	p	p	NOUN
ejpam-5869	157	15	(	(	PUNCT
ejpam-5869	157	16	λ	λ	PROPN
ejpam-5869	157	17	,	,	PUNCT
ejpam-5869	157	18	α	α	X
ejpam-5869	157	19	,	,	PUNCT
ejpam-5869	157	20	β	β	NOUN
ejpam-5869	157	21	)	)	PUNCT
ejpam-5869	157	22	,	,	PUNCT
ejpam-5869	157	23	then	then	ADV
ejpam-5869	157	24	|ϱp+1|	|ϱp+1|	PROPN
ejpam-5869	157	25	≤	≤	PUNCT
ejpam-5869	157	26	|α+	|α+	ADP
ejpam-5869	157	27	β|	β|	ADP
ejpam-5869	157	28	p	p	NOUN
ejpam-5869	157	29	2	2	NUM
ejpam-5869	157	30	|α−	|α−	NOUN
ejpam-5869	157	31	β|	β|	ADP
ejpam-5869	157	32	|p	|p	NOUN
ejpam-5869	157	33	(	(	PUNCT
ejpam-5869	157	34	α+	α+	X
ejpam-5869	157	35	β	β	X
ejpam-5869	157	36	)	)	PUNCT
ejpam-5869	158	1	+	+	PROPN
ejpam-5869	158	2	λ|	λ|	PROPN
ejpam-5869	158	3	.	.	PUNCT
ejpam-5869	159	1	(	(	PUNCT
ejpam-5869	159	2	23	23	X
ejpam-5869	159	3	)	)	PUNCT
ejpam-5869	159	4	proof	proof	NOUN
ejpam-5869	159	5	.	.	PUNCT
ejpam-5869	160	1	combining	combine	VERB
ejpam-5869	160	2	(	(	PUNCT
ejpam-5869	160	3	1	1	NUM
ejpam-5869	160	4	)	)	PUNCT
ejpam-5869	160	5	and	and	CCONJ
ejpam-5869	160	6	(	(	PUNCT
ejpam-5869	160	7	3	3	NUM
ejpam-5869	160	8	)	)	PUNCT
ejpam-5869	160	9	,	,	PUNCT
ejpam-5869	160	10	we	we	PRON
ejpam-5869	160	11	obtain	obtain	VERB
ejpam-5869	160	12	(	(	PUNCT
ejpam-5869	160	13	1−	1−	NUM
ejpam-5869	160	14	α−	α−	ADP
ejpam-5869	160	15	β	β	X
ejpam-5869	160	16	α+	α+	X
ejpam-5869	160	17	β	β	X
ejpam-5869	160	18	λ	λ	NOUN
ejpam-5869	160	19	)	)	PUNCT
ejpam-5869	161	1	[	[	PUNCT
ejpam-5869	161	2	χ	χ	X
ejpam-5869	161	3	(	(	PUNCT
ejpam-5869	161	4	ξ	ξ	NOUN
ejpam-5869	161	5	)	)	PUNCT
ejpam-5869	161	6	ξp	ξp	ADP
ejpam-5869	161	7	]	]	PUNCT
ejpam-5869	161	8	α−β	α−β	X
ejpam-5869	161	9	+	+	CCONJ
ejpam-5869	161	10	α−	α−	ADP
ejpam-5869	161	11	β	β	X
ejpam-5869	161	12	α+	α+	X
ejpam-5869	161	13	β	β	PUNCT
ejpam-5869	161	14	λ	λ	X
ejpam-5869	161	15	ξχ′	ξχ′	PROPN
ejpam-5869	161	16	(	(	PUNCT
ejpam-5869	161	17	ξ	ξ	NOUN
ejpam-5869	161	18	)	)	PUNCT
ejpam-5869	161	19	pχ	pχ	PROPN
ejpam-5869	161	20	(	(	PUNCT
ejpam-5869	161	21	ξ	ξ	NOUN
ejpam-5869	161	22	)	)	PUNCT
ejpam-5869	161	23	[	[	PUNCT
ejpam-5869	161	24	χ	χ	X
ejpam-5869	161	25	(	(	PUNCT
ejpam-5869	161	26	ξ	ξ	NOUN
ejpam-5869	161	27	)	)	PUNCT
ejpam-5869	161	28	ξp	ξp	ADP
ejpam-5869	161	29	]	]	PUNCT
ejpam-5869	161	30	α−β	α−β	X
ejpam-5869	161	31	=	=	SYM
ejpam-5869	161	32	1	1	NUM
ejpam-5869	161	33	+	+	CCONJ
ejpam-5869	161	34	(	(	PUNCT
ejpam-5869	161	35	α−	α−	ADP
ejpam-5869	161	36	β	β	X
ejpam-5869	161	37	)	)	PUNCT
ejpam-5869	162	1	[	[	X
ejpam-5869	162	2	p	p	X
ejpam-5869	162	3	(	(	PUNCT
ejpam-5869	162	4	α+	α+	X
ejpam-5869	162	5	β	β	NOUN
ejpam-5869	162	6	)	)	PUNCT
ejpam-5869	162	7	+	+	PUNCT
ejpam-5869	162	8	λ	λ	X
ejpam-5869	162	9	]	]	X
ejpam-5869	162	10	p	p	X
ejpam-5869	162	11	(	(	PUNCT
ejpam-5869	162	12	α+	α+	X
ejpam-5869	162	13	β	β	NOUN
ejpam-5869	162	14	)	)	PUNCT
ejpam-5869	162	15	ϱp+1ξ	ϱp+1ξ	NOUN
ejpam-5869	162	16	+	+	SYM
ejpam-5869	162	17	....	....	PUNCT
ejpam-5869	162	18	≺	≺	NOUN
ejpam-5869	162	19	√	√	VERB
ejpam-5869	162	20	1	1	NUM
ejpam-5869	162	21	+	+	SYM
ejpam-5869	162	22	ξ	ξ	X
ejpam-5869	162	23	=	=	SYM
ejpam-5869	162	24	1	1	NUM
ejpam-5869	162	25	+	+	NUM
ejpam-5869	162	26	1	1	NUM
ejpam-5869	162	27	2	2	NUM
ejpam-5869	162	28	ξ	ξ	SYM
ejpam-5869	162	29	−	−	NOUN
ejpam-5869	162	30	1	1	NUM
ejpam-5869	162	31	8	8	NUM
ejpam-5869	162	32	ξ2	ξ2	NOUN
ejpam-5869	162	33	+	+	X
ejpam-5869	162	34	...	...	PUNCT
ejpam-5869	162	35	.	.	PUNCT
ejpam-5869	163	1	(	(	PUNCT
ejpam-5869	163	2	24	24	NUM
ejpam-5869	163	3	)	)	PUNCT
ejpam-5869	163	4	an	an	DET
ejpam-5869	163	5	application	application	NOUN
ejpam-5869	163	6	of	of	ADP
ejpam-5869	163	7	lemma	lemma	PROPN
ejpam-5869	163	8	3	3	NUM
ejpam-5869	163	9	to	to	PART
ejpam-5869	163	10	(	(	PUNCT
ejpam-5869	163	11	24	24	NUM
ejpam-5869	163	12	)	)	PUNCT
ejpam-5869	163	13	yields∣∣∣∣(α−	yields∣∣∣∣(α−	NOUN
ejpam-5869	163	14	β	β	NOUN
ejpam-5869	163	15	)	)	PUNCT
ejpam-5869	164	1	[	[	X
ejpam-5869	164	2	p	p	X
ejpam-5869	164	3	(	(	PUNCT
ejpam-5869	164	4	α+	α+	X
ejpam-5869	164	5	β	β	NOUN
ejpam-5869	164	6	)	)	PUNCT
ejpam-5869	164	7	+	+	PUNCT
ejpam-5869	164	8	λ	λ	X
ejpam-5869	164	9	]	]	X
ejpam-5869	164	10	p	p	X
ejpam-5869	164	11	(	(	PUNCT
ejpam-5869	164	12	α+	α+	X
ejpam-5869	164	13	β	β	X
ejpam-5869	164	14	)	)	PUNCT
ejpam-5869	164	15	ϱp+1	ϱp+1	VERB
ejpam-5869	164	16	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5869	164	17	<	<	X
ejpam-5869	164	18	1	1	NUM
ejpam-5869	164	19	2	2	NUM
ejpam-5869	164	20	.	.	PUNCT
ejpam-5869	165	1	(	(	PUNCT
ejpam-5869	165	2	25	25	NUM
ejpam-5869	165	3	)	)	PUNCT
ejpam-5869	165	4	thus	thus	ADV
ejpam-5869	165	5	,	,	PUNCT
ejpam-5869	165	6	from	from	ADP
ejpam-5869	165	7	(	(	PUNCT
ejpam-5869	165	8	25	25	NUM
ejpam-5869	165	9	)	)	PUNCT
ejpam-5869	165	10	,	,	PUNCT
ejpam-5869	165	11	we	we	PRON
ejpam-5869	165	12	easily	easily	ADV
ejpam-5869	165	13	obtain	obtain	VERB
ejpam-5869	165	14	(	(	PUNCT
ejpam-5869	165	15	23	23	NUM
ejpam-5869	165	16	)	)	PUNCT
ejpam-5869	165	17	asserted	assert	VERB
ejpam-5869	165	18	by	by	ADP
ejpam-5869	165	19	theorem	theorem	NOUN
ejpam-5869	165	20	4	4	NUM
ejpam-5869	165	21	.	.	PUNCT
ejpam-5869	165	22	taking	take	VERB
ejpam-5869	165	23	β	β	X
ejpam-5869	165	24	=	=	SYM
ejpam-5869	165	25	0	0	PUNCT
ejpam-5869	165	26	in	in	ADP
ejpam-5869	165	27	theorem	theorem	NOUN
ejpam-5869	165	28	1	1	NUM
ejpam-5869	165	29	,	,	PUNCT
ejpam-5869	165	30	we	we	PRON
ejpam-5869	165	31	get	get	VERB
ejpam-5869	165	32	corollary	corollary	ADJ
ejpam-5869	165	33	5	5	NUM
ejpam-5869	165	34	.	.	PUNCT
ejpam-5869	166	1	if	if	SCONJ
ejpam-5869	166	2	χ	χ	X
ejpam-5869	166	3	(	(	PUNCT
ejpam-5869	166	4	ξ	ξ	NOUN
ejpam-5869	166	5	)	)	PUNCT
ejpam-5869	166	6	given	give	VERB
ejpam-5869	166	7	by	by	ADP
ejpam-5869	166	8	(	(	PUNCT
ejpam-5869	166	9	1	1	NUM
ejpam-5869	166	10	)	)	PUNCT
ejpam-5869	166	11	belongs	belong	VERB
ejpam-5869	166	12	to	to	ADP
ejpam-5869	166	13	bp	bp	PROPN
ejpam-5869	166	14	(	(	PUNCT
ejpam-5869	166	15	λ	λ	PROPN
ejpam-5869	166	16	,	,	PUNCT
ejpam-5869	166	17	α	α	NOUN
ejpam-5869	166	18	)	)	PUNCT
ejpam-5869	166	19	,	,	PUNCT
ejpam-5869	166	20	then	then	ADV
ejpam-5869	166	21	|ϱp+1|	|ϱp+1|	PROPN
ejpam-5869	166	22	≤	≤	PROPN
ejpam-5869	167	1	p	p	SYM
ejpam-5869	167	2	2	2	NUM
ejpam-5869	167	3	|pα+	|pα+	NOUN
ejpam-5869	167	4	λ|	λ|	PROPN
ejpam-5869	167	5	.	.	PUNCT
ejpam-5869	168	1	taking	take	VERB
ejpam-5869	168	2	α	α	NOUN
ejpam-5869	168	3	=	=	SYM
ejpam-5869	168	4	0	0	NUM
ejpam-5869	168	5	in	in	ADP
ejpam-5869	168	6	theorem	theorem	NOUN
ejpam-5869	168	7	1	1	NUM
ejpam-5869	168	8	,	,	PUNCT
ejpam-5869	168	9	we	we	PRON
ejpam-5869	168	10	get	get	VERB
ejpam-5869	168	11	corollary	corollary	ADJ
ejpam-5869	168	12	6	6	NUM
ejpam-5869	168	13	.	.	PUNCT
ejpam-5869	169	1	if	if	SCONJ
ejpam-5869	169	2	χ	χ	X
ejpam-5869	169	3	(	(	PUNCT
ejpam-5869	169	4	ξ	ξ	NOUN
ejpam-5869	169	5	)	)	PUNCT
ejpam-5869	169	6	given	give	VERB
ejpam-5869	169	7	by	by	ADP
ejpam-5869	169	8	(	(	PUNCT
ejpam-5869	169	9	1	1	NUM
ejpam-5869	169	10	)	)	PUNCT
ejpam-5869	169	11	belongs	belong	VERB
ejpam-5869	169	12	to	to	ADP
ejpam-5869	169	13	np	np	PROPN
ejpam-5869	169	14	(	(	PUNCT
ejpam-5869	169	15	λ	λ	PROPN
ejpam-5869	169	16	,	,	PUNCT
ejpam-5869	169	17	β	β	NOUN
ejpam-5869	169	18	)	)	PUNCT
ejpam-5869	169	19	,	,	PUNCT
ejpam-5869	169	20	then	then	ADV
ejpam-5869	169	21	|ϱp+1|	|ϱp+1|	PROPN
ejpam-5869	169	22	≤	≤	PROPN
ejpam-5869	169	23	p	p	NOUN
ejpam-5869	169	24	2	2	NUM
ejpam-5869	169	25	|pβ	|pβ	NOUN
ejpam-5869	169	26	+	+	CCONJ
ejpam-5869	169	27	λ|	λ|	PROPN
ejpam-5869	169	28	.	.	PUNCT
ejpam-5869	170	1	t.m	t.m	PROPN
ejpam-5869	170	2	.	.	PROPN
ejpam-5869	170	3	seoudy	seoudy	PROPN
ejpam-5869	170	4	,	,	PUNCT
ejpam-5869	170	5	a.e	a.e	PROPN
ejpam-5869	170	6	.	.	PROPN
ejpam-5869	170	7	shammaky	shammaky	PROPN
ejpam-5869	170	8	/	/	SYM
ejpam-5869	170	9	eur	eur	PROPN
ejpam-5869	170	10	.	.	PUNCT
ejpam-5869	171	1	j.	j.	PROPN
ejpam-5869	171	2	pure	pure	PROPN
ejpam-5869	171	3	appl	appl	PROPN
ejpam-5869	171	4	.	.	PROPN
ejpam-5869	171	5	math	math	PROPN
ejpam-5869	171	6	,	,	PUNCT
ejpam-5869	171	7	18	18	NUM
ejpam-5869	171	8	(	(	PUNCT
ejpam-5869	171	9	2	2	NUM
ejpam-5869	171	10	)	)	PUNCT
ejpam-5869	171	11	(	(	PUNCT
ejpam-5869	171	12	2025	2025	NUM
ejpam-5869	171	13	)	)	PUNCT
ejpam-5869	171	14	,	,	PUNCT
ejpam-5869	171	15	5869	5869	NUM
ejpam-5869	171	16	9	9	NUM
ejpam-5869	171	17	of	of	ADP
ejpam-5869	171	18	14	14	NUM
ejpam-5869	171	19	3	3	NUM
ejpam-5869	171	20	.	.	PUNCT
ejpam-5869	172	1	fekete	fekete	PROPN
ejpam-5869	172	2	-	-	PUNCT
ejpam-5869	172	3	szegö	szegö	PROPN
ejpam-5869	172	4	problem	problem	NOUN
ejpam-5869	172	5	for	for	ADP
ejpam-5869	172	6	bn	bn	PROPN
ejpam-5869	172	7	p	p	NOUN
ejpam-5869	172	8	(	(	PUNCT
ejpam-5869	172	9	λ	λ	PROPN
ejpam-5869	172	10	,	,	PUNCT
ejpam-5869	172	11	α	α	X
ejpam-5869	172	12	,	,	PUNCT
ejpam-5869	172	13	β	β	NOUN
ejpam-5869	172	14	)	)	PUNCT
ejpam-5869	172	15	in	in	ADP
ejpam-5869	172	16	this	this	DET
ejpam-5869	172	17	section	section	NOUN
ejpam-5869	172	18	we	we	PRON
ejpam-5869	172	19	study	study	VERB
ejpam-5869	172	20	the	the	DET
ejpam-5869	172	21	fekete	fekete	PROPN
ejpam-5869	172	22	–	–	PUNCT
ejpam-5869	172	23	szegö	szegö	ADJ
ejpam-5869	172	24	inequalities	inequality	NOUN
ejpam-5869	172	25	for	for	ADP
ejpam-5869	172	26	the	the	DET
ejpam-5869	172	27	class	class	NOUN
ejpam-5869	172	28	bn	bn	NOUN
ejpam-5869	172	29	p	p	X
ejpam-5869	172	30	(	(	PUNCT
ejpam-5869	172	31	λ	λ	PROPN
ejpam-5869	172	32	,	,	PUNCT
ejpam-5869	172	33	α	α	X
ejpam-5869	172	34	,	,	PUNCT
ejpam-5869	172	35	β	β	NOUN
ejpam-5869	172	36	)	)	PUNCT
ejpam-5869	172	37	.	.	PUNCT
ejpam-5869	173	1	it	it	PRON
ejpam-5869	173	2	is	be	AUX
ejpam-5869	173	3	worth	worth	ADJ
ejpam-5869	173	4	noting	note	VERB
ejpam-5869	173	5	that	that	SCONJ
ejpam-5869	173	6	many	many	ADJ
ejpam-5869	173	7	authors	author	NOUN
ejpam-5869	173	8	have	have	AUX
ejpam-5869	173	9	been	be	AUX
ejpam-5869	173	10	investigated	investigate	VERB
ejpam-5869	173	11	the	the	DET
ejpam-5869	173	12	fekete	fekete	PROPN
ejpam-5869	173	13	-	-	PUNCT
ejpam-5869	173	14	szegö	szegö	ADJ
ejpam-5869	173	15	problem	problem	NOUN
ejpam-5869	173	16	for	for	ADP
ejpam-5869	173	17	several	several	ADJ
ejpam-5869	173	18	subclasses	subclass	NOUN
ejpam-5869	173	19	of	of	ADP
ejpam-5869	173	20	analytic	analytic	ADJ
ejpam-5869	173	21	functions	function	NOUN
ejpam-5869	173	22	(	(	PUNCT
ejpam-5869	173	23	see	see	VERB
ejpam-5869	173	24	,	,	PUNCT
ejpam-5869	173	25	for	for	ADP
ejpam-5869	173	26	instance	instance	NOUN
ejpam-5869	173	27	[	[	X
ejpam-5869	173	28	27–32	27–32	NUM
ejpam-5869	173	29	]	]	PUNCT
ejpam-5869	173	30	)	)	PUNCT
ejpam-5869	173	31	.	.	PUNCT
ejpam-5869	174	1	theorem	theorem	NOUN
ejpam-5869	174	2	5	5	NUM
ejpam-5869	174	3	.	.	PUNCT
ejpam-5869	175	1	if	if	SCONJ
ejpam-5869	175	2	χ	χ	PRON
ejpam-5869	175	3	given	give	VERB
ejpam-5869	175	4	by	by	ADP
ejpam-5869	175	5	(	(	PUNCT
ejpam-5869	175	6	1	1	NUM
ejpam-5869	175	7	)	)	PUNCT
ejpam-5869	175	8	belongs	belong	VERB
ejpam-5869	175	9	to	to	ADP
ejpam-5869	175	10	the	the	DET
ejpam-5869	175	11	class	class	NOUN
ejpam-5869	175	12	bn	bn	ADP
ejpam-5869	175	13	p	p	X
ejpam-5869	175	14	(	(	PUNCT
ejpam-5869	175	15	λ	λ	PROPN
ejpam-5869	175	16	,	,	PUNCT
ejpam-5869	175	17	α	α	X
ejpam-5869	175	18	,	,	PUNCT
ejpam-5869	175	19	β	β	NOUN
ejpam-5869	175	20	)	)	PUNCT
ejpam-5869	175	21	,	,	PUNCT
ejpam-5869	175	22	then∣∣ϱp+2	then∣∣ϱp+2	ADP
ejpam-5869	175	23	−	−	ADP
ejpam-5869	175	24	µa2p+1	µa2p+1	NOUN
ejpam-5869	175	25	∣∣	∣∣	VERB
ejpam-5869	175	26	≤	≤	NOUN
ejpam-5869	175	27	p|α+β|	p|α+β|	NOUN
ejpam-5869	175	28	2|α−β||p(α+β)+2λ|	2|α−β||p(α+β)+2λ|	NUM
ejpam-5869	175	29	max	max	NOUN
ejpam-5869	175	30	{	{	PUNCT
ejpam-5869	175	31	1	1	NUM
ejpam-5869	175	32	;	;	PUNCT
ejpam-5869	175	33	1	1	NUM
ejpam-5869	175	34	4	4	NUM
ejpam-5869	175	35	∣∣∣1	∣∣∣1	NOUN
ejpam-5869	175	36	+	+	CCONJ
ejpam-5869	175	37	p(α+β)[p(α+β)+2λ](α−β+2µ−1	p(α+β)[p(α+β)+2λ](α−β+2µ−1	VERB
ejpam-5869	175	38	)	)	PUNCT
ejpam-5869	175	39	(	(	PUNCT
ejpam-5869	175	40	α−β)[p(α+β)+λ]2	α−β)[p(α+β)+λ]2	ADV
ejpam-5869	175	41	∣∣∣	∣∣∣	ADJ
ejpam-5869	175	42	}	}	PUNCT
ejpam-5869	175	43	.	.	PUNCT
ejpam-5869	176	1	(	(	PUNCT
ejpam-5869	176	2	26	26	NUM
ejpam-5869	176	3	)	)	PUNCT
ejpam-5869	176	4	proof	proof	NOUN
ejpam-5869	176	5	.	.	PUNCT
ejpam-5869	177	1	if	if	SCONJ
ejpam-5869	177	2	χ	χ	PRON
ejpam-5869	177	3	∈	∈	PROPN
ejpam-5869	177	4	bn	bn	ADP
ejpam-5869	177	5	p	p	X
ejpam-5869	177	6	(	(	PUNCT
ejpam-5869	177	7	λ	λ	PROPN
ejpam-5869	177	8	,	,	PUNCT
ejpam-5869	177	9	α	α	X
ejpam-5869	177	10	,	,	PUNCT
ejpam-5869	177	11	β	β	NOUN
ejpam-5869	177	12	)	)	PUNCT
ejpam-5869	177	13	,	,	PUNCT
ejpam-5869	177	14	then	then	ADV
ejpam-5869	177	15	there	there	PRON
ejpam-5869	177	16	is	be	VERB
ejpam-5869	177	17	a	a	DET
ejpam-5869	177	18	schwarz	schwarz	PROPN
ejpam-5869	177	19	function	function	NOUN
ejpam-5869	177	20	ω	ω	PROPN
ejpam-5869	177	21	in	in	ADP
ejpam-5869	177	22	u	u	PRON
ejpam-5869	177	23	such	such	ADJ
ejpam-5869	177	24	that	that	SCONJ
ejpam-5869	177	25	(	(	PUNCT
ejpam-5869	177	26	1−	1−	NUM
ejpam-5869	177	27	α−	α−	ADP
ejpam-5869	177	28	β	β	X
ejpam-5869	177	29	α+	α+	X
ejpam-5869	177	30	β	β	X
ejpam-5869	177	31	λ	λ	NOUN
ejpam-5869	177	32	)	)	PUNCT
ejpam-5869	177	33	[	[	PUNCT
ejpam-5869	177	34	χ	χ	X
ejpam-5869	177	35	(	(	PUNCT
ejpam-5869	177	36	ξ	ξ	NOUN
ejpam-5869	177	37	)	)	PUNCT
ejpam-5869	177	38	ξp	ξp	ADP
ejpam-5869	177	39	]	]	PUNCT
ejpam-5869	177	40	α−β	α−β	X
ejpam-5869	178	1	+	+	CCONJ
ejpam-5869	179	1	α−	α−	ADP
ejpam-5869	179	2	β	β	X
ejpam-5869	179	3	α+	α+	X
ejpam-5869	179	4	β	β	PUNCT
ejpam-5869	179	5	λ	λ	X
ejpam-5869	179	6	ξχ′	ξχ′	PROPN
ejpam-5869	179	7	(	(	PUNCT
ejpam-5869	179	8	ξ	ξ	NOUN
ejpam-5869	179	9	)	)	PUNCT
ejpam-5869	179	10	pχ	pχ	PROPN
ejpam-5869	179	11	(	(	PUNCT
ejpam-5869	179	12	ξ	ξ	NOUN
ejpam-5869	179	13	)	)	PUNCT
ejpam-5869	179	14	[	[	PUNCT
ejpam-5869	179	15	χ	χ	X
ejpam-5869	179	16	(	(	PUNCT
ejpam-5869	179	17	ξ	ξ	NOUN
ejpam-5869	179	18	)	)	PUNCT
ejpam-5869	179	19	ξp	ξp	ADP
ejpam-5869	179	20	]	]	PUNCT
ejpam-5869	179	21	α−β	α−β	X
ejpam-5869	179	22	=	=	SYM
ejpam-5869	179	23	√	√	ADV
ejpam-5869	179	24	1	1	NUM
ejpam-5869	180	1	+	+	NUM
ejpam-5869	180	2	ω	ω	NUM
ejpam-5869	180	3	(	(	PUNCT
ejpam-5869	180	4	ξ	ξ	NOUN
ejpam-5869	180	5	)	)	PUNCT
ejpam-5869	180	6	,	,	PUNCT
ejpam-5869	180	7	(	(	PUNCT
ejpam-5869	180	8	27	27	NUM
ejpam-5869	180	9	)	)	PUNCT
ejpam-5869	180	10	define	define	VERB
ejpam-5869	180	11	the	the	DET
ejpam-5869	180	12	function	function	NOUN
ejpam-5869	180	13	g	g	PROPN
ejpam-5869	180	14	(	(	PUNCT
ejpam-5869	180	15	ξ	ξ	NOUN
ejpam-5869	180	16	)	)	PUNCT
ejpam-5869	180	17	by	by	ADP
ejpam-5869	180	18	g	g	PROPN
ejpam-5869	180	19	(	(	PUNCT
ejpam-5869	180	20	ξ	ξ	NOUN
ejpam-5869	180	21	)	)	PUNCT
ejpam-5869	180	22	=	=	SYM
ejpam-5869	181	1	1	1	NUM
ejpam-5869	181	2	+	+	NUM
ejpam-5869	181	3	ω	ω	NUM
ejpam-5869	181	4	(	(	PUNCT
ejpam-5869	181	5	ξ	ξ	NOUN
ejpam-5869	181	6	)	)	PUNCT
ejpam-5869	181	7	1−	1−	NUM
ejpam-5869	181	8	ω	ω	NUM
ejpam-5869	181	9	(	(	PUNCT
ejpam-5869	181	10	ξ	ξ	NOUN
ejpam-5869	181	11	)	)	PUNCT
ejpam-5869	181	12	=	=	SYM
ejpam-5869	181	13	1	1	NUM
ejpam-5869	181	14	+	+	CCONJ
ejpam-5869	181	15	c1ξ	c1ξ	NOUN
ejpam-5869	181	16	+	+	SYM
ejpam-5869	181	17	c2ξ	c2ξ	NOUN
ejpam-5869	181	18	2	2	NUM
ejpam-5869	181	19	+	+	CCONJ
ejpam-5869	181	20	...	...	PUNCT
ejpam-5869	181	21	.	.	PUNCT
ejpam-5869	182	1	(	(	PUNCT
ejpam-5869	182	2	28	28	NUM
ejpam-5869	182	3	)	)	PUNCT
ejpam-5869	182	4	since	since	SCONJ
ejpam-5869	182	5	ω	ω	PROPN
ejpam-5869	182	6	(	(	PUNCT
ejpam-5869	182	7	ξ	ξ	NOUN
ejpam-5869	182	8	)	)	PUNCT
ejpam-5869	182	9	is	be	AUX
ejpam-5869	182	10	a	a	DET
ejpam-5869	182	11	schwarz	schwarz	PROPN
ejpam-5869	182	12	function	function	NOUN
ejpam-5869	182	13	,	,	PUNCT
ejpam-5869	182	14	we	we	PRON
ejpam-5869	182	15	see	see	VERB
ejpam-5869	182	16	that	that	SCONJ
ejpam-5869	182	17	g	g	PROPN
ejpam-5869	182	18	∈	∈	PROPN
ejpam-5869	182	19	p	p	NOUN
ejpam-5869	182	20	with	with	ADP
ejpam-5869	182	21	g	g	PROPN
ejpam-5869	182	22	(	(	PUNCT
ejpam-5869	182	23	0	0	NUM
ejpam-5869	182	24	)	)	PUNCT
ejpam-5869	182	25	=	=	SYM
ejpam-5869	183	1	1	1	X
ejpam-5869	183	2	.	.	PUNCT
ejpam-5869	184	1	therefore	therefore	ADV
ejpam-5869	184	2	,	,	PUNCT
ejpam-5869	184	3	√	√	PROPN
ejpam-5869	184	4	1	1	NUM
ejpam-5869	185	1	+	+	NUM
ejpam-5869	185	2	ω	ω	NUM
ejpam-5869	185	3	(	(	PUNCT
ejpam-5869	185	4	ξ	ξ	NOUN
ejpam-5869	185	5	)	)	PUNCT
ejpam-5869	185	6	=	=	SYM
ejpam-5869	186	1	√	√	ADP
ejpam-5869	186	2	2	2	NUM
ejpam-5869	186	3	g	g	NOUN
ejpam-5869	186	4	(	(	PUNCT
ejpam-5869	186	5	ξ	ξ	NOUN
ejpam-5869	186	6	)	)	PUNCT
ejpam-5869	186	7	g	g	NOUN
ejpam-5869	186	8	(	(	PUNCT
ejpam-5869	186	9	ξ	ξ	NOUN
ejpam-5869	186	10	)	)	PUNCT
ejpam-5869	186	11	+	+	CCONJ
ejpam-5869	186	12	1	1	NUM
ejpam-5869	186	13	=	=	SYM
ejpam-5869	186	14	1	1	NUM
ejpam-5869	186	15	+	+	NUM
ejpam-5869	186	16	1	1	NUM
ejpam-5869	186	17	4	4	NUM
ejpam-5869	186	18	c1ξ	c1ξ	NOUN
ejpam-5869	186	19	+	+	CCONJ
ejpam-5869	186	20	(	(	PUNCT
ejpam-5869	186	21	1	1	NUM
ejpam-5869	186	22	4	4	NUM
ejpam-5869	186	23	c2	c2	PROPN
ejpam-5869	186	24	−	−	PROPN
ejpam-5869	186	25	5	5	NUM
ejpam-5869	186	26	32	32	NUM
ejpam-5869	186	27	c21	c21	NOUN
ejpam-5869	186	28	)	)	PUNCT
ejpam-5869	186	29	ξ2	ξ2	NOUN
ejpam-5869	186	30	+	+	CCONJ
ejpam-5869	186	31	...	...	PUNCT
ejpam-5869	186	32	.	.	PUNCT
ejpam-5869	187	1	(	(	PUNCT
ejpam-5869	187	2	29	29	NUM
ejpam-5869	187	3	)	)	PUNCT
ejpam-5869	187	4	now	now	ADV
ejpam-5869	187	5	by	by	ADP
ejpam-5869	187	6	substituting	substitute	VERB
ejpam-5869	187	7	(	(	PUNCT
ejpam-5869	187	8	29	29	NUM
ejpam-5869	187	9	)	)	PUNCT
ejpam-5869	187	10	in	in	ADP
ejpam-5869	187	11	(	(	PUNCT
ejpam-5869	187	12	27	27	NUM
ejpam-5869	187	13	)	)	PUNCT
ejpam-5869	187	14	,	,	PUNCT
ejpam-5869	187	15	we	we	PRON
ejpam-5869	187	16	have	have	VERB
ejpam-5869	187	17	(	(	PUNCT
ejpam-5869	187	18	1−	1−	NUM
ejpam-5869	187	19	α−	α−	ADP
ejpam-5869	187	20	β	β	X
ejpam-5869	187	21	α+	α+	X
ejpam-5869	187	22	β	β	X
ejpam-5869	187	23	λ	λ	NOUN
ejpam-5869	187	24	)	)	PUNCT
ejpam-5869	188	1	[	[	PUNCT
ejpam-5869	188	2	χ	χ	X
ejpam-5869	188	3	(	(	PUNCT
ejpam-5869	188	4	ξ	ξ	NOUN
ejpam-5869	188	5	)	)	PUNCT
ejpam-5869	188	6	ξp	ξp	ADP
ejpam-5869	188	7	]	]	PUNCT
ejpam-5869	188	8	α−β	α−β	X
ejpam-5869	188	9	+	+	CCONJ
ejpam-5869	188	10	α−	α−	ADP
ejpam-5869	188	11	β	β	X
ejpam-5869	188	12	α+	α+	X
ejpam-5869	188	13	β	β	PUNCT
ejpam-5869	188	14	λ	λ	X
ejpam-5869	188	15	ξχ′	ξχ′	PROPN
ejpam-5869	188	16	(	(	PUNCT
ejpam-5869	188	17	ξ	ξ	NOUN
ejpam-5869	188	18	)	)	PUNCT
ejpam-5869	188	19	pχ	pχ	PROPN
ejpam-5869	188	20	(	(	PUNCT
ejpam-5869	188	21	ξ	ξ	NOUN
ejpam-5869	188	22	)	)	PUNCT
ejpam-5869	188	23	[	[	PUNCT
ejpam-5869	188	24	χ	χ	X
ejpam-5869	188	25	(	(	PUNCT
ejpam-5869	188	26	ξ	ξ	NOUN
ejpam-5869	188	27	)	)	PUNCT
ejpam-5869	188	28	ξp	ξp	ADP
ejpam-5869	188	29	]	]	PUNCT
ejpam-5869	188	30	α−β	α−β	X
ejpam-5869	188	31	=	=	SYM
ejpam-5869	188	32	1	1	NUM
ejpam-5869	188	33	+	+	NUM
ejpam-5869	188	34	c1	c1	NOUN
ejpam-5869	188	35	4	4	NUM
ejpam-5869	188	36	ξ	ξ	X
ejpam-5869	188	37	+	+	CCONJ
ejpam-5869	188	38	(	(	PUNCT
ejpam-5869	188	39	c2	c2	PROPN
ejpam-5869	188	40	4	4	NUM
ejpam-5869	188	41	−	−	PROPN
ejpam-5869	188	42	5c21	5c21	NOUN
ejpam-5869	188	43	32	32	NUM
ejpam-5869	188	44	)	)	PUNCT
ejpam-5869	188	45	ξ2	ξ2	NOUN
ejpam-5869	188	46	+	+	CCONJ
ejpam-5869	188	47	...	...	PUNCT
ejpam-5869	188	48	.	.	PUNCT
ejpam-5869	189	1	equating	equate	VERB
ejpam-5869	189	2	the	the	DET
ejpam-5869	189	3	coefficients	coefficient	NOUN
ejpam-5869	189	4	of	of	ADP
ejpam-5869	189	5	ξ	ξ	PROPN
ejpam-5869	189	6	and	and	CCONJ
ejpam-5869	189	7	ξ2	ξ2	NOUN
ejpam-5869	189	8	we	we	PRON
ejpam-5869	189	9	obtain	obtain	VERB
ejpam-5869	189	10	ϱp+1	ϱp+1	ADJ
ejpam-5869	189	11	=	=	SYM
ejpam-5869	189	12	p	p	X
ejpam-5869	189	13	(	(	PUNCT
ejpam-5869	189	14	α+	α+	X
ejpam-5869	189	15	β	β	NOUN
ejpam-5869	189	16	)	)	PUNCT
ejpam-5869	189	17	4	4	NUM
ejpam-5869	189	18	(	(	PUNCT
ejpam-5869	189	19	α−	α−	ADP
ejpam-5869	189	20	β	β	X
ejpam-5869	189	21	)	)	PUNCT
ejpam-5869	190	1	[	[	X
ejpam-5869	190	2	p	p	X
ejpam-5869	190	3	(	(	PUNCT
ejpam-5869	190	4	α+	α+	X
ejpam-5869	190	5	β	β	NOUN
ejpam-5869	190	6	)	)	PUNCT
ejpam-5869	190	7	+	+	PUNCT
ejpam-5869	190	8	λ	λ	X
ejpam-5869	190	9	]	]	X
ejpam-5869	190	10	c1	c1	NOUN
ejpam-5869	190	11	.	.	PUNCT
ejpam-5869	191	1	ϱp+2	ϱp+2	VERB
ejpam-5869	191	2	=	=	SYM
ejpam-5869	191	3	p	p	X
ejpam-5869	191	4	(	(	PUNCT
ejpam-5869	191	5	α+	α+	X
ejpam-5869	191	6	β	β	NOUN
ejpam-5869	191	7	)	)	PUNCT
ejpam-5869	191	8	4	4	NUM
ejpam-5869	191	9	(	(	PUNCT
ejpam-5869	191	10	α−	α−	ADP
ejpam-5869	191	11	β	β	X
ejpam-5869	191	12	)	)	PUNCT
ejpam-5869	192	1	[	[	X
ejpam-5869	192	2	p	p	X
ejpam-5869	192	3	(	(	PUNCT
ejpam-5869	192	4	α+	α+	X
ejpam-5869	192	5	β	β	X
ejpam-5869	192	6	)	)	PUNCT
ejpam-5869	192	7	+	+	SYM
ejpam-5869	192	8	2λ	2λ	NUM
ejpam-5869	192	9	]	]	X
ejpam-5869	192	10	[	[	PUNCT
ejpam-5869	192	11	c2	c2	PROPN
ejpam-5869	192	12	−	−	PROPN
ejpam-5869	192	13	1	1	NUM
ejpam-5869	192	14	8	8	NUM
ejpam-5869	192	15	(	(	PUNCT
ejpam-5869	192	16	5	5	NUM
ejpam-5869	192	17	+	+	CCONJ
ejpam-5869	192	18	p	p	X
ejpam-5869	192	19	(	(	PUNCT
ejpam-5869	192	20	α+	α+	X
ejpam-5869	192	21	β	β	NOUN
ejpam-5869	192	22	)	)	PUNCT
ejpam-5869	192	23	(	(	PUNCT
ejpam-5869	192	24	α−	α−	ADP
ejpam-5869	192	25	β	β	X
ejpam-5869	192	26	−	−	NOUN
ejpam-5869	192	27	1	1	X
ejpam-5869	192	28	)	)	PUNCT
ejpam-5869	193	1	[	[	X
ejpam-5869	193	2	p	p	X
ejpam-5869	193	3	(	(	PUNCT
ejpam-5869	193	4	α+	α+	X
ejpam-5869	193	5	β	β	X
ejpam-5869	193	6	)	)	PUNCT
ejpam-5869	193	7	+	+	CCONJ
ejpam-5869	193	8	2λ	2λ	NOUN
ejpam-5869	193	9	]	]	X
ejpam-5869	193	10	(	(	PUNCT
ejpam-5869	193	11	α−	α−	ADP
ejpam-5869	193	12	β	β	X
ejpam-5869	193	13	)	)	PUNCT
ejpam-5869	194	1	[	[	X
ejpam-5869	194	2	p	p	X
ejpam-5869	194	3	(	(	PUNCT
ejpam-5869	194	4	α+	α+	X
ejpam-5869	194	5	β	β	X
ejpam-5869	194	6	)	)	PUNCT
ejpam-5869	194	7	+	+	NUM
ejpam-5869	194	8	λ]2	λ]2	NOUN
ejpam-5869	194	9	)	)	PUNCT
ejpam-5869	194	10	c21	c21	NOUN
ejpam-5869	194	11	]	]	PUNCT
ejpam-5869	194	12	.	.	PUNCT
ejpam-5869	195	1	therefore	therefore	ADV
ejpam-5869	195	2	,	,	PUNCT
ejpam-5869	195	3	ϱp+2	ϱp+2	VERB
ejpam-5869	195	4	−	−	PROPN
ejpam-5869	195	5	µϱ2p+1	µϱ2p+1	PROPN
ejpam-5869	195	6	=	=	SYM
ejpam-5869	195	7	p	p	X
ejpam-5869	195	8	(	(	PUNCT
ejpam-5869	195	9	α+	α+	X
ejpam-5869	195	10	β	β	NOUN
ejpam-5869	195	11	)	)	PUNCT
ejpam-5869	195	12	4	4	NUM
ejpam-5869	195	13	(	(	PUNCT
ejpam-5869	195	14	α−	α−	ADP
ejpam-5869	195	15	β	β	X
ejpam-5869	195	16	)	)	PUNCT
ejpam-5869	196	1	[	[	X
ejpam-5869	196	2	p	p	X
ejpam-5869	196	3	(	(	PUNCT
ejpam-5869	196	4	α+	α+	X
ejpam-5869	196	5	β	β	X
ejpam-5869	196	6	)	)	PUNCT
ejpam-5869	196	7	+	+	SYM
ejpam-5869	196	8	2λ	2λ	NOUN
ejpam-5869	196	9	]	]	X
ejpam-5869	196	10	{	{	PUNCT
ejpam-5869	196	11	c2	c2	PROPN
ejpam-5869	196	12	−	−	PROPN
ejpam-5869	196	13	vc21	vc21	PROPN
ejpam-5869	196	14	}	}	PUNCT
ejpam-5869	196	15	,	,	PUNCT
ejpam-5869	196	16	(	(	PUNCT
ejpam-5869	196	17	30	30	NUM
ejpam-5869	196	18	)	)	PUNCT
ejpam-5869	196	19	where	where	SCONJ
ejpam-5869	196	20	ν	ν	X
ejpam-5869	196	21	=	=	SYM
ejpam-5869	196	22	1	1	NUM
ejpam-5869	196	23	8	8	NUM
ejpam-5869	196	24	[	[	PUNCT
ejpam-5869	196	25	5	5	NUM
ejpam-5869	196	26	+	+	CCONJ
ejpam-5869	196	27	p	p	X
ejpam-5869	196	28	(	(	PUNCT
ejpam-5869	196	29	α+	α+	X
ejpam-5869	196	30	β	β	X
ejpam-5869	196	31	)	)	PUNCT
ejpam-5869	197	1	[	[	X
ejpam-5869	197	2	p	p	X
ejpam-5869	197	3	(	(	PUNCT
ejpam-5869	197	4	α+	α+	X
ejpam-5869	197	5	β	β	X
ejpam-5869	197	6	)	)	PUNCT
ejpam-5869	197	7	+	+	CCONJ
ejpam-5869	197	8	2λ	2λ	NOUN
ejpam-5869	197	9	]	]	X
ejpam-5869	197	10	(	(	PUNCT
ejpam-5869	197	11	α−	α−	ADP
ejpam-5869	197	12	β	β	NOUN
ejpam-5869	197	13	+	+	X
ejpam-5869	198	1	2µ−	2µ−	NUM
ejpam-5869	198	2	1	1	NUM
ejpam-5869	198	3	)	)	PUNCT
ejpam-5869	198	4	(	(	PUNCT
ejpam-5869	198	5	α−	α−	ADP
ejpam-5869	198	6	β	β	X
ejpam-5869	198	7	)	)	PUNCT
ejpam-5869	199	1	[	[	X
ejpam-5869	199	2	p	p	X
ejpam-5869	199	3	(	(	PUNCT
ejpam-5869	199	4	α+	α+	X
ejpam-5869	199	5	β	β	NOUN
ejpam-5869	199	6	)	)	PUNCT
ejpam-5869	199	7	+	+	CCONJ
ejpam-5869	199	8	λ]2	λ]2	X
ejpam-5869	199	9	]	]	PUNCT
ejpam-5869	199	10	.	.	PUNCT
ejpam-5869	200	1	(	(	PUNCT
ejpam-5869	200	2	31	31	NUM
ejpam-5869	200	3	)	)	PUNCT
ejpam-5869	200	4	our	our	PRON
ejpam-5869	200	5	result	result	NOUN
ejpam-5869	200	6	now	now	ADV
ejpam-5869	200	7	follows	follow	VERB
ejpam-5869	200	8	by	by	ADP
ejpam-5869	200	9	an	an	DET
ejpam-5869	200	10	application	application	NOUN
ejpam-5869	200	11	of	of	ADP
ejpam-5869	200	12	lemma	lemma	PROPN
ejpam-5869	200	13	4	4	NUM
ejpam-5869	200	14	.	.	PUNCT
ejpam-5869	201	1	this	this	PRON
ejpam-5869	201	2	completes	complete	VERB
ejpam-5869	201	3	the	the	DET
ejpam-5869	201	4	proof	proof	NOUN
ejpam-5869	201	5	of	of	ADP
ejpam-5869	201	6	theorem	theorem	NOUN
ejpam-5869	201	7	5	5	NUM
ejpam-5869	201	8	.	.	PUNCT
ejpam-5869	201	9	putting	put	VERB
ejpam-5869	201	10	β	β	X
ejpam-5869	201	11	=	=	SYM
ejpam-5869	201	12	0	0	PUNCT
ejpam-5869	201	13	in	in	ADP
ejpam-5869	201	14	theorem	theorem	NOUN
ejpam-5869	201	15	5	5	NUM
ejpam-5869	201	16	,	,	PUNCT
ejpam-5869	201	17	we	we	PRON
ejpam-5869	201	18	obtain	obtain	VERB
ejpam-5869	201	19	the	the	DET
ejpam-5869	201	20	following	following	NOUN
ejpam-5869	201	21	.	.	PUNCT
ejpam-5869	202	1	t.m	t.m	PROPN
ejpam-5869	202	2	.	.	PROPN
ejpam-5869	202	3	seoudy	seoudy	PROPN
ejpam-5869	202	4	,	,	PUNCT
ejpam-5869	202	5	a.e	a.e	PROPN
ejpam-5869	202	6	.	.	PROPN
ejpam-5869	202	7	shammaky	shammaky	PROPN
ejpam-5869	202	8	/	/	SYM
ejpam-5869	202	9	eur	eur	PROPN
ejpam-5869	202	10	.	.	PUNCT
ejpam-5869	203	1	j.	j.	PROPN
ejpam-5869	203	2	pure	pure	PROPN
ejpam-5869	203	3	appl	appl	PROPN
ejpam-5869	203	4	.	.	PROPN
ejpam-5869	203	5	math	math	PROPN
ejpam-5869	203	6	,	,	PUNCT
ejpam-5869	203	7	18	18	NUM
ejpam-5869	203	8	(	(	PUNCT
ejpam-5869	203	9	2	2	NUM
ejpam-5869	203	10	)	)	PUNCT
ejpam-5869	203	11	(	(	PUNCT
ejpam-5869	203	12	2025	2025	NUM
ejpam-5869	203	13	)	)	PUNCT
ejpam-5869	203	14	,	,	PUNCT
ejpam-5869	203	15	5869	5869	NUM
ejpam-5869	203	16	10	10	NUM
ejpam-5869	203	17	of	of	ADP
ejpam-5869	203	18	14	14	NUM
ejpam-5869	203	19	corollary	corollary	ADJ
ejpam-5869	203	20	7	7	NUM
ejpam-5869	203	21	.	.	PUNCT
ejpam-5869	204	1	if	if	SCONJ
ejpam-5869	204	2	χ	χ	PRON
ejpam-5869	204	3	given	give	VERB
ejpam-5869	204	4	by	by	ADP
ejpam-5869	204	5	(	(	PUNCT
ejpam-5869	204	6	1	1	NUM
ejpam-5869	204	7	)	)	PUNCT
ejpam-5869	204	8	belongs	belong	VERB
ejpam-5869	204	9	to	to	ADP
ejpam-5869	204	10	the	the	DET
ejpam-5869	204	11	class	class	NOUN
ejpam-5869	204	12	bp	bp	PROPN
ejpam-5869	204	13	(	(	PUNCT
ejpam-5869	204	14	λ	λ	PROPN
ejpam-5869	204	15	,	,	PUNCT
ejpam-5869	204	16	α	α	NOUN
ejpam-5869	204	17	)	)	PUNCT
ejpam-5869	204	18	,	,	PUNCT
ejpam-5869	204	19	then∣∣ϱp+2	then∣∣ϱp+2	PROPN
ejpam-5869	204	20	−	−	PROPN
ejpam-5869	204	21	µϱ2p+1	µϱ2p+1	PROPN
ejpam-5869	204	22	∣∣	∣∣	NUM
ejpam-5869	204	23	≤	≤	PUNCT
ejpam-5869	204	24	p	p	SYM
ejpam-5869	204	25	2	2	NUM
ejpam-5869	204	26	|pα+	|pα+	NOUN
ejpam-5869	204	27	2λ|	2λ|	NUM
ejpam-5869	204	28	max	max	NOUN
ejpam-5869	204	29	{	{	PUNCT
ejpam-5869	204	30	1	1	NUM
ejpam-5869	204	31	;	;	PUNCT
ejpam-5869	204	32	1	1	NUM
ejpam-5869	204	33	4	4	NUM
ejpam-5869	204	34	∣∣∣∣1	∣∣∣∣1	NOUN
ejpam-5869	204	35	+	+	CCONJ
ejpam-5869	204	36	p	p	X
ejpam-5869	205	1	[	[	X
ejpam-5869	205	2	pα+	pα+	NOUN
ejpam-5869	205	3	2λ	2λ	X
ejpam-5869	205	4	]	]	X
ejpam-5869	205	5	(	(	PUNCT
ejpam-5869	205	6	α+	α+	X
ejpam-5869	205	7	2µ−	2µ−	NUM
ejpam-5869	205	8	1	1	NUM
ejpam-5869	205	9	)	)	PUNCT
ejpam-5869	205	10	(	(	PUNCT
ejpam-5869	205	11	pα+	pα+	ADJ
ejpam-5869	205	12	λ)2	λ)2	PROPN
ejpam-5869	205	13	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5869	205	14	}	}	PUNCT
ejpam-5869	205	15	.	.	PUNCT
ejpam-5869	206	1	putting	put	VERB
ejpam-5869	206	2	α	α	NOUN
ejpam-5869	206	3	=	=	SYM
ejpam-5869	206	4	0	0	NUM
ejpam-5869	206	5	in	in	ADP
ejpam-5869	206	6	theorem	theorem	NOUN
ejpam-5869	206	7	5	5	NUM
ejpam-5869	206	8	,	,	PUNCT
ejpam-5869	206	9	we	we	PRON
ejpam-5869	206	10	obtain	obtain	VERB
ejpam-5869	206	11	the	the	DET
ejpam-5869	206	12	following	following	NOUN
ejpam-5869	206	13	.	.	PUNCT
ejpam-5869	207	1	corollary	corollary	ADJ
ejpam-5869	207	2	8	8	NUM
ejpam-5869	207	3	.	.	PUNCT
ejpam-5869	208	1	if	if	SCONJ
ejpam-5869	208	2	χ	χ	PRON
ejpam-5869	208	3	given	give	VERB
ejpam-5869	208	4	by	by	ADP
ejpam-5869	208	5	(	(	PUNCT
ejpam-5869	208	6	1	1	NUM
ejpam-5869	208	7	)	)	PUNCT
ejpam-5869	208	8	belongs	belong	VERB
ejpam-5869	208	9	to	to	ADP
ejpam-5869	208	10	the	the	DET
ejpam-5869	208	11	class	class	NOUN
ejpam-5869	208	12	np	np	INTJ
ejpam-5869	208	13	(	(	PUNCT
ejpam-5869	208	14	λ	λ	PROPN
ejpam-5869	208	15	,	,	PUNCT
ejpam-5869	208	16	β	β	NOUN
ejpam-5869	208	17	)	)	PUNCT
ejpam-5869	208	18	,	,	PUNCT
ejpam-5869	208	19	then∣∣ϱp+2	then∣∣ϱp+2	PROPN
ejpam-5869	208	20	−	−	PROPN
ejpam-5869	208	21	µϱ2p+1	µϱ2p+1	PROPN
ejpam-5869	208	22	∣∣	∣∣	NUM
ejpam-5869	208	23	≤	≤	PUNCT
ejpam-5869	208	24	p	p	PRON
ejpam-5869	208	25	2	2	NUM
ejpam-5869	208	26	|pβ	|pβ	NUM
ejpam-5869	208	27	+	+	SYM
ejpam-5869	208	28	2λ|	2λ|	NUM
ejpam-5869	208	29	max	max	NOUN
ejpam-5869	208	30	{	{	PUNCT
ejpam-5869	208	31	1	1	NUM
ejpam-5869	208	32	;	;	PUNCT
ejpam-5869	208	33	1	1	NUM
ejpam-5869	208	34	4	4	NUM
ejpam-5869	208	35	∣∣∣∣1	∣∣∣∣1	NOUN
ejpam-5869	208	36	+	+	X
ejpam-5869	208	37	p	p	X
ejpam-5869	208	38	(	(	PUNCT
ejpam-5869	208	39	pβ	pβ	PROPN
ejpam-5869	208	40	+	+	ADJ
ejpam-5869	208	41	2λ	2λ	NUM
ejpam-5869	208	42	)	)	PUNCT
ejpam-5869	209	1	(	(	PUNCT
ejpam-5869	209	2	β	β	X
ejpam-5869	209	3	−	−	NOUN
ejpam-5869	209	4	2µ+	2µ+	NUM
ejpam-5869	209	5	1	1	NUM
ejpam-5869	209	6	)	)	PUNCT
ejpam-5869	209	7	(	(	PUNCT
ejpam-5869	209	8	pβ	pβ	ADP
ejpam-5869	209	9	+	+	CCONJ
ejpam-5869	209	10	λ)2	λ)2	NOUN
ejpam-5869	209	11	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5869	209	12	}	}	PUNCT
ejpam-5869	209	13	.	.	PUNCT
ejpam-5869	210	1	theorem	theorem	ADJ
ejpam-5869	210	2	6	6	NUM
ejpam-5869	210	3	.	.	PUNCT
ejpam-5869	211	1	let	let	VERB
ejpam-5869	211	2	σ1	σ1	NOUN
ejpam-5869	211	3	=	=	NOUN
ejpam-5869	211	4	1	1	NUM
ejpam-5869	211	5	2	2	NUM
ejpam-5869	211	6	(	(	PUNCT
ejpam-5869	211	7	1−	1−	NUM
ejpam-5869	211	8	α+	α+	X
ejpam-5869	211	9	β	β	NOUN
ejpam-5869	211	10	−	−	PROPN
ejpam-5869	211	11	5	5	NUM
ejpam-5869	211	12	(	(	PUNCT
ejpam-5869	211	13	α−	α−	ADP
ejpam-5869	211	14	β	β	X
ejpam-5869	211	15	)	)	PUNCT
ejpam-5869	212	1	[	[	X
ejpam-5869	212	2	p	p	X
ejpam-5869	212	3	(	(	PUNCT
ejpam-5869	212	4	α+	α+	X
ejpam-5869	212	5	β	β	X
ejpam-5869	212	6	)	)	PUNCT
ejpam-5869	212	7	+	+	CCONJ
ejpam-5869	212	8	λ]2	λ]2	PROPN
ejpam-5869	212	9	p	p	X
ejpam-5869	212	10	(	(	PUNCT
ejpam-5869	212	11	α+	α+	X
ejpam-5869	212	12	β	β	X
ejpam-5869	212	13	)	)	PUNCT
ejpam-5869	213	1	[	[	X
ejpam-5869	213	2	p	p	X
ejpam-5869	213	3	(	(	PUNCT
ejpam-5869	213	4	α+	α+	X
ejpam-5869	213	5	β	β	X
ejpam-5869	213	6	)	)	PUNCT
ejpam-5869	213	7	+	+	CCONJ
ejpam-5869	213	8	2λ	2λ	NOUN
ejpam-5869	213	9	]	]	PUNCT
ejpam-5869	213	10	)	)	PUNCT
ejpam-5869	213	11	,	,	PUNCT
ejpam-5869	213	12	σ2	σ2	NOUN
ejpam-5869	213	13	=	=	NOUN
ejpam-5869	213	14	1	1	NUM
ejpam-5869	213	15	2	2	NUM
ejpam-5869	213	16	(	(	PUNCT
ejpam-5869	213	17	1−	1−	NUM
ejpam-5869	213	18	α+	α+	X
ejpam-5869	213	19	β	β	X
ejpam-5869	213	20	+	+	NOUN
ejpam-5869	213	21	3	3	NUM
ejpam-5869	213	22	(	(	PUNCT
ejpam-5869	213	23	α−	α−	ADP
ejpam-5869	213	24	β	β	X
ejpam-5869	213	25	)	)	PUNCT
ejpam-5869	214	1	[	[	X
ejpam-5869	214	2	p	p	X
ejpam-5869	214	3	(	(	PUNCT
ejpam-5869	214	4	α+	α+	X
ejpam-5869	214	5	β	β	X
ejpam-5869	214	6	)	)	PUNCT
ejpam-5869	214	7	+	+	CCONJ
ejpam-5869	214	8	λ]2	λ]2	PROPN
ejpam-5869	214	9	p	p	X
ejpam-5869	214	10	(	(	PUNCT
ejpam-5869	214	11	α+	α+	X
ejpam-5869	214	12	β	β	X
ejpam-5869	214	13	)	)	PUNCT
ejpam-5869	215	1	[	[	X
ejpam-5869	215	2	p	p	X
ejpam-5869	215	3	(	(	PUNCT
ejpam-5869	215	4	α+	α+	X
ejpam-5869	215	5	β	β	X
ejpam-5869	215	6	)	)	PUNCT
ejpam-5869	215	7	+	+	CCONJ
ejpam-5869	215	8	2λ	2λ	NOUN
ejpam-5869	215	9	]	]	PUNCT
ejpam-5869	215	10	)	)	PUNCT
ejpam-5869	215	11	,	,	PUNCT
ejpam-5869	215	12	σ3	σ3	NOUN
ejpam-5869	215	13	=	=	NOUN
ejpam-5869	215	14	1	1	NUM
ejpam-5869	215	15	2	2	NUM
ejpam-5869	215	16	(	(	PUNCT
ejpam-5869	215	17	1−	1−	NUM
ejpam-5869	215	18	α+	α+	X
ejpam-5869	215	19	β	β	X
ejpam-5869	215	20	−	−	PROPN
ejpam-5869	215	21	(	(	PUNCT
ejpam-5869	215	22	α−	α−	ADP
ejpam-5869	215	23	β	β	X
ejpam-5869	215	24	)	)	PUNCT
ejpam-5869	216	1	[	[	X
ejpam-5869	216	2	p	p	X
ejpam-5869	216	3	(	(	PUNCT
ejpam-5869	216	4	α+	α+	X
ejpam-5869	216	5	β	β	X
ejpam-5869	216	6	)	)	PUNCT
ejpam-5869	216	7	+	+	CCONJ
ejpam-5869	216	8	λ]2	λ]2	PROPN
ejpam-5869	216	9	p	p	X
ejpam-5869	216	10	(	(	PUNCT
ejpam-5869	216	11	α+	α+	X
ejpam-5869	216	12	β	β	X
ejpam-5869	216	13	)	)	PUNCT
ejpam-5869	217	1	[	[	X
ejpam-5869	217	2	p	p	X
ejpam-5869	217	3	(	(	PUNCT
ejpam-5869	217	4	α+	α+	X
ejpam-5869	217	5	β	β	X
ejpam-5869	217	6	)	)	PUNCT
ejpam-5869	217	7	+	+	CCONJ
ejpam-5869	217	8	2λ	2λ	NOUN
ejpam-5869	217	9	]	]	PUNCT
ejpam-5869	217	10	)	)	PUNCT
ejpam-5869	217	11	.	.	PUNCT
ejpam-5869	218	1	if	if	SCONJ
ejpam-5869	218	2	χ	χ	PRON
ejpam-5869	218	3	given	give	VERB
ejpam-5869	218	4	by	by	ADP
ejpam-5869	218	5	(	(	PUNCT
ejpam-5869	218	6	1	1	NUM
ejpam-5869	218	7	)	)	PUNCT
ejpam-5869	218	8	belongs	belong	VERB
ejpam-5869	218	9	to	to	ADP
ejpam-5869	218	10	the	the	DET
ejpam-5869	218	11	class	class	NOUN
ejpam-5869	218	12	bn	bn	ADP
ejpam-5869	218	13	p	p	X
ejpam-5869	218	14	(	(	PUNCT
ejpam-5869	218	15	λ	λ	PROPN
ejpam-5869	218	16	,	,	PUNCT
ejpam-5869	218	17	α	α	X
ejpam-5869	218	18	,	,	PUNCT
ejpam-5869	218	19	β	β	NOUN
ejpam-5869	218	20	)	)	PUNCT
ejpam-5869	218	21	,	,	PUNCT
ejpam-5869	218	22	then	then	ADV
ejpam-5869	218	23	∣∣ϱp+2	∣∣ϱp+2	PROPN
ejpam-5869	218	24	−	−	PROPN
ejpam-5869	218	25	µϱ2p+1	µϱ2p+1	PROPN
ejpam-5869	218	26	∣∣	∣∣	NUM
ejpam-5869	218	27	≤	≤	NUM
ejpam-5869	218	28			NUM
ejpam-5869	218	29	p(α+β	p(α+β	NUM
ejpam-5869	218	30	)	)	PUNCT
ejpam-5869	218	31	8(α−β	8(α−β	NOUN
ejpam-5869	218	32	)	)	PUNCT
ejpam-5869	218	33	[	[	PUNCT
ejpam-5869	218	34	−	−	NUM
ejpam-5869	218	35	1	1	NUM
ejpam-5869	219	1	[	[	X
ejpam-5869	219	2	p(α+β)+2λ	p(α+β)+2λ	X
ejpam-5869	219	3	]	]	X
ejpam-5869	219	4	−	−	PROPN
ejpam-5869	219	5	p(α+β)(α−β+2µ−1	p(α+β)(α−β+2µ−1	PROPN
ejpam-5869	219	6	)	)	PUNCT
ejpam-5869	219	7	(	(	PUNCT
ejpam-5869	219	8	α−β)[p(α+β)+λ]2	α−β)[p(α+β)+λ]2	PROPN
ejpam-5869	219	9	]	]	PUNCT
ejpam-5869	219	10	(	(	PUNCT
ejpam-5869	219	11	µ	µ	X
ejpam-5869	219	12	≤	≤	NUM
ejpam-5869	219	13	σ1	σ1	NOUN
ejpam-5869	219	14	)	)	PUNCT
ejpam-5869	219	15	p(α+β	p(α+β	NUM
ejpam-5869	219	16	)	)	PUNCT
ejpam-5869	219	17	2(α−β)[p(α+β)+2λ	2(α−β)[p(α+β)+2λ	NUM
ejpam-5869	219	18	]	]	PUNCT
ejpam-5869	219	19	(	(	PUNCT
ejpam-5869	219	20	σ1	σ1	PROPN
ejpam-5869	219	21	≤	≤	PROPN
ejpam-5869	219	22	µ	µ	PRON
ejpam-5869	219	23	≤	≤	PROPN
ejpam-5869	219	24	σ2	σ2	NOUN
ejpam-5869	219	25	)	)	PUNCT
ejpam-5869	219	26	p(α+β	p(α+β	NUM
ejpam-5869	219	27	)	)	PUNCT
ejpam-5869	219	28	8(α−β	8(α−β	NOUN
ejpam-5869	219	29	)	)	PUNCT
ejpam-5869	219	30	[	[	PUNCT
ejpam-5869	219	31	1	1	NUM
ejpam-5869	219	32	[	[	X
ejpam-5869	219	33	p(α+β)+2λ	p(α+β)+2λ	X
ejpam-5869	219	34	]	]	X
ejpam-5869	219	35	+	+	CCONJ
ejpam-5869	219	36	p(α+β)(α−β+2µ−1	p(α+β)(α−β+2µ−1	NOUN
ejpam-5869	219	37	)	)	PUNCT
ejpam-5869	219	38	(	(	PUNCT
ejpam-5869	219	39	α−β)[p(α+β)+λ]2	α−β)[p(α+β)+λ]2	PROPN
ejpam-5869	219	40	]	]	PUNCT
ejpam-5869	219	41	(	(	PUNCT
ejpam-5869	219	42	µ	µ	X
ejpam-5869	219	43	≥	≥	NOUN
ejpam-5869	219	44	σ2	σ2	NOUN
ejpam-5869	219	45	)	)	PUNCT
ejpam-5869	219	46	further	far	ADV
ejpam-5869	219	47	,	,	PUNCT
ejpam-5869	219	48	if	if	SCONJ
ejpam-5869	219	49	σ1	σ1	PROPN
ejpam-5869	219	50	≤	≤	NOUN
ejpam-5869	219	51	µ	µ	PRON
ejpam-5869	219	52	≤	≤	PROPN
ejpam-5869	219	53	σ3	σ3	PROPN
ejpam-5869	219	54	,	,	PUNCT
ejpam-5869	219	55	then∣∣ϱp+2	then∣∣ϱp+2	PROPN
ejpam-5869	219	56	−	−	PROPN
ejpam-5869	219	57	µϱ2p+1	µϱ2p+1	PROPN
ejpam-5869	219	58	∣∣+	∣∣+	PROPN
ejpam-5869	219	59	1	1	NUM
ejpam-5869	219	60	2	2	NUM
ejpam-5869	219	61	[	[	PUNCT
ejpam-5869	219	62	5(α−β)[p(α+β)+λ]2	5(α−β)[p(α+β)+λ]2	NUM
ejpam-5869	219	63	p(α+β)[p(α+β)+2λ	p(α+β)[p(α+β)+2λ	X
ejpam-5869	219	64	]	]	X
ejpam-5869	220	1	+	+	CCONJ
ejpam-5869	220	2	α−	α−	ADP
ejpam-5869	220	3	β	β	NOUN
ejpam-5869	220	4	+	+	X
ejpam-5869	220	5	2µ−	2µ−	NUM
ejpam-5869	220	6	1	1	NUM
ejpam-5869	220	7	]	]	PUNCT
ejpam-5869	220	8	|ϱp+1|2	|ϱp+1|2	PRON
ejpam-5869	220	9	≤	≤	NUM
ejpam-5869	220	10	p(α+β	p(α+β	NUM
ejpam-5869	220	11	)	)	PUNCT
ejpam-5869	220	12	2(α−β)[p(α+β)+2λ	2(α−β)[p(α+β)+2λ	NUM
ejpam-5869	220	13	]	]	PUNCT
ejpam-5869	220	14	.	.	PUNCT
ejpam-5869	221	1	if	if	SCONJ
ejpam-5869	221	2	σ3	σ3	PROPN
ejpam-5869	221	3	≤	≤	PROPN
ejpam-5869	221	4	µ	µ	PRON
ejpam-5869	221	5	≤	≤	PROPN
ejpam-5869	221	6	σ2	σ2	NOUN
ejpam-5869	221	7	,	,	PUNCT
ejpam-5869	221	8	then∣∣ϱp+2	then∣∣ϱp+2	PROPN
ejpam-5869	221	9	−	−	PROPN
ejpam-5869	221	10	µϱ2p+1	µϱ2p+1	PROPN
ejpam-5869	221	11	∣∣+	∣∣+	PROPN
ejpam-5869	221	12	1	1	NUM
ejpam-5869	221	13	2	2	NUM
ejpam-5869	221	14	[	[	PUNCT
ejpam-5869	221	15	3(α−β)[p(α+β)+λ]2	3(α−β)[p(α+β)+λ]2	NUM
ejpam-5869	221	16	p(α+β)[p(α+β)+2λ	p(α+β)[p(α+β)+2λ	NOUN
ejpam-5869	221	17	]	]	X
ejpam-5869	221	18	−	−	PROPN
ejpam-5869	221	19	α+	α+	PUNCT
ejpam-5869	221	20	β	β	NOUN
ejpam-5869	221	21	−	−	NOUN
ejpam-5869	221	22	2µ+	2µ+	NUM
ejpam-5869	221	23	1	1	NUM
ejpam-5869	221	24	]	]	PUNCT
ejpam-5869	221	25	|ϱp+1|2	|ϱp+1|2	PRON
ejpam-5869	221	26	≤	≤	NUM
ejpam-5869	221	27	p(α+β	p(α+β	NUM
ejpam-5869	221	28	)	)	PUNCT
ejpam-5869	221	29	2(α−β)[p(α+β)+2λ	2(α−β)[p(α+β)+2λ	NUM
ejpam-5869	221	30	]	]	PUNCT
ejpam-5869	221	31	.	.	PUNCT
ejpam-5869	222	1	proof	proof	NOUN
ejpam-5869	222	2	.	.	PUNCT
ejpam-5869	223	1	applying	apply	VERB
ejpam-5869	223	2	lemma	lemma	PROPN
ejpam-5869	223	3	5	5	NUM
ejpam-5869	223	4	to	to	PART
ejpam-5869	223	5	(	(	PUNCT
ejpam-5869	223	6	30	30	NUM
ejpam-5869	223	7	)	)	PUNCT
ejpam-5869	223	8	and	and	CCONJ
ejpam-5869	223	9	(	(	PUNCT
ejpam-5869	223	10	31	31	NUM
ejpam-5869	223	11	)	)	PUNCT
ejpam-5869	223	12	,	,	PUNCT
ejpam-5869	223	13	we	we	PRON
ejpam-5869	223	14	can	can	AUX
ejpam-5869	223	15	get	get	VERB
ejpam-5869	223	16	our	our	PRON
ejpam-5869	223	17	results	result	NOUN
ejpam-5869	223	18	of	of	ADP
ejpam-5869	223	19	theorem	theorem	NOUN
ejpam-5869	223	20	6	6	NUM
ejpam-5869	223	21	.	.	PUNCT
ejpam-5869	224	1	putting	put	VERB
ejpam-5869	224	2	β	β	X
ejpam-5869	224	3	=	=	SYM
ejpam-5869	224	4	0	0	PUNCT
ejpam-5869	224	5	in	in	ADP
ejpam-5869	224	6	theorem	theorem	NOUN
ejpam-5869	224	7	6	6	NUM
ejpam-5869	224	8	,	,	PUNCT
ejpam-5869	224	9	we	we	PRON
ejpam-5869	224	10	obtain	obtain	VERB
ejpam-5869	224	11	the	the	DET
ejpam-5869	224	12	following	following	NOUN
ejpam-5869	224	13	.	.	PUNCT
ejpam-5869	225	1	t.m	t.m	PROPN
ejpam-5869	225	2	.	.	PROPN
ejpam-5869	225	3	seoudy	seoudy	PROPN
ejpam-5869	225	4	,	,	PUNCT
ejpam-5869	225	5	a.e	a.e	PROPN
ejpam-5869	225	6	.	.	PROPN
ejpam-5869	225	7	shammaky	shammaky	PROPN
ejpam-5869	225	8	/	/	SYM
ejpam-5869	225	9	eur	eur	PROPN
ejpam-5869	225	10	.	.	PUNCT
ejpam-5869	226	1	j.	j.	PROPN
ejpam-5869	226	2	pure	pure	PROPN
ejpam-5869	226	3	appl	appl	PROPN
ejpam-5869	226	4	.	.	PROPN
ejpam-5869	226	5	math	math	PROPN
ejpam-5869	226	6	,	,	PUNCT
ejpam-5869	226	7	18	18	NUM
ejpam-5869	226	8	(	(	PUNCT
ejpam-5869	226	9	2	2	NUM
ejpam-5869	226	10	)	)	PUNCT
ejpam-5869	226	11	(	(	PUNCT
ejpam-5869	226	12	2025	2025	NUM
ejpam-5869	226	13	)	)	PUNCT
ejpam-5869	226	14	,	,	PUNCT
ejpam-5869	226	15	5869	5869	NUM
ejpam-5869	226	16	11	11	NUM
ejpam-5869	226	17	of	of	ADP
ejpam-5869	226	18	14	14	NUM
ejpam-5869	226	19	corollary	corollary	ADJ
ejpam-5869	226	20	9	9	NUM
ejpam-5869	226	21	.	.	PUNCT
ejpam-5869	227	1	let	let	VERB
ejpam-5869	227	2	σ4	σ4	NOUN
ejpam-5869	227	3	=	=	SYM
ejpam-5869	227	4	1	1	NUM
ejpam-5869	227	5	2	2	NUM
ejpam-5869	227	6	(	(	PUNCT
ejpam-5869	227	7	1−	1−	NUM
ejpam-5869	227	8	α−	α−	ADP
ejpam-5869	227	9	5	5	NUM
ejpam-5869	227	10	(	(	PUNCT
ejpam-5869	227	11	pα+	pα+	NOUN
ejpam-5869	227	12	λ)2	λ)2	PROPN
ejpam-5869	227	13	p	p	NOUN
ejpam-5869	227	14	(	(	PUNCT
ejpam-5869	227	15	pα+	pα+	PROPN
ejpam-5869	227	16	2λ	2λ	PROPN
ejpam-5869	227	17	)	)	PUNCT
ejpam-5869	227	18	)	)	PUNCT
ejpam-5869	227	19	,	,	PUNCT
ejpam-5869	227	20	σ5	σ5	X
ejpam-5869	227	21	=	=	SYM
ejpam-5869	227	22	1	1	NUM
ejpam-5869	227	23	2	2	NUM
ejpam-5869	227	24	(	(	PUNCT
ejpam-5869	227	25	1−	1−	NUM
ejpam-5869	227	26	α+	α+	SYM
ejpam-5869	227	27	3	3	NUM
ejpam-5869	227	28	(	(	PUNCT
ejpam-5869	227	29	pα+	pα+	NOUN
ejpam-5869	227	30	λ)2	λ)2	PROPN
ejpam-5869	227	31	p	p	NOUN
ejpam-5869	227	32	(	(	PUNCT
ejpam-5869	227	33	pα+	pα+	PROPN
ejpam-5869	227	34	2λ	2λ	PROPN
ejpam-5869	227	35	)	)	PUNCT
ejpam-5869	227	36	)	)	PUNCT
ejpam-5869	227	37	,	,	PUNCT
ejpam-5869	228	1	σ6	σ6	NOUN
ejpam-5869	228	2	=	=	SYM
ejpam-5869	228	3	1	1	NUM
ejpam-5869	228	4	2	2	NUM
ejpam-5869	228	5	(	(	PUNCT
ejpam-5869	228	6	1−	1−	NUM
ejpam-5869	228	7	α−	α−	X
ejpam-5869	228	8	(	(	PUNCT
ejpam-5869	228	9	pα+	pα+	ADJ
ejpam-5869	228	10	λ)2	λ)2	PROPN
ejpam-5869	228	11	p	p	NOUN
ejpam-5869	228	12	(	(	PUNCT
ejpam-5869	228	13	pα+	pα+	PROPN
ejpam-5869	228	14	2λ	2λ	NUM
ejpam-5869	228	15	)	)	PUNCT
ejpam-5869	228	16	)	)	PUNCT
ejpam-5869	228	17	.	.	PUNCT
ejpam-5869	229	1	if	if	SCONJ
ejpam-5869	229	2	χ	χ	PRON
ejpam-5869	229	3	given	give	VERB
ejpam-5869	229	4	by	by	ADP
ejpam-5869	229	5	(	(	PUNCT
ejpam-5869	229	6	1	1	NUM
ejpam-5869	229	7	)	)	PUNCT
ejpam-5869	229	8	belongs	belong	VERB
ejpam-5869	229	9	to	to	ADP
ejpam-5869	229	10	the	the	DET
ejpam-5869	229	11	class	class	NOUN
ejpam-5869	229	12	bp	bp	PROPN
ejpam-5869	229	13	(	(	PUNCT
ejpam-5869	229	14	λ	λ	PROPN
ejpam-5869	229	15	,	,	PUNCT
ejpam-5869	229	16	α	α	NOUN
ejpam-5869	229	17	)	)	PUNCT
ejpam-5869	229	18	,	,	PUNCT
ejpam-5869	229	19	then	then	ADV
ejpam-5869	229	20	∣∣ϱp+2	∣∣ϱp+2	PROPN
ejpam-5869	229	21	−	−	PROPN
ejpam-5869	229	22	µϱ2p+1	µϱ2p+1	PROPN
ejpam-5869	229	23	∣∣	∣∣	NUM
ejpam-5869	229	24	≤	≤	NUM
ejpam-5869	229	25			NUM
ejpam-5869	229	26	−p	−p	NOUN
ejpam-5869	229	27	8	8	NUM
ejpam-5869	229	28	[	[	PUNCT
ejpam-5869	229	29	1	1	NUM
ejpam-5869	229	30	pα+2λ	pα+2λ	NOUN
ejpam-5869	229	31	+	+	CCONJ
ejpam-5869	229	32	p(α+2µ−1	p(α+2µ−1	PROPN
ejpam-5869	229	33	)	)	PUNCT
ejpam-5869	229	34	(	(	PUNCT
ejpam-5869	229	35	pα+λ)2	pα+λ)2	NOUN
ejpam-5869	229	36	]	]	X
ejpam-5869	229	37	(	(	PUNCT
ejpam-5869	229	38	µ	µ	X
ejpam-5869	229	39	≤	≤	NUM
ejpam-5869	229	40	σ4	σ4	NOUN
ejpam-5869	229	41	)	)	PUNCT
ejpam-5869	229	42	p	p	NOUN
ejpam-5869	229	43	2(pα+2λ	2(pα+2λ	NOUN
ejpam-5869	229	44	)	)	PUNCT
ejpam-5869	229	45	(	(	PUNCT
ejpam-5869	229	46	σ4	σ4	NOUN
ejpam-5869	229	47	≤	≤	PROPN
ejpam-5869	229	48	µ	µ	PRON
ejpam-5869	229	49	≤	≤	NUM
ejpam-5869	229	50	σ5	σ5	NOUN
ejpam-5869	229	51	)	)	PUNCT
ejpam-5869	229	52	p	p	NOUN
ejpam-5869	229	53	8	8	NUM
ejpam-5869	229	54	[	[	SYM
ejpam-5869	229	55	1	1	NUM
ejpam-5869	229	56	pα+2λ	pα+2λ	NOUN
ejpam-5869	229	57	+	+	CCONJ
ejpam-5869	229	58	p(α+2µ−1	p(α+2µ−1	PROPN
ejpam-5869	229	59	)	)	PUNCT
ejpam-5869	229	60	(	(	PUNCT
ejpam-5869	229	61	pα+λ)2	pα+λ)2	NOUN
ejpam-5869	229	62	]	]	X
ejpam-5869	229	63	(	(	PUNCT
ejpam-5869	229	64	µ	µ	X
ejpam-5869	229	65	≥	≥	NUM
ejpam-5869	229	66	σ5	σ5	NOUN
ejpam-5869	229	67	)	)	PUNCT
ejpam-5869	229	68	further	far	ADV
ejpam-5869	229	69	,	,	PUNCT
ejpam-5869	229	70	if	if	SCONJ
ejpam-5869	229	71	σ4	σ4	NOUN
ejpam-5869	229	72	≤	≤	NOUN
ejpam-5869	229	73	µ	µ	PRON
ejpam-5869	229	74	≤	≤	NOUN
ejpam-5869	229	75	σ6	σ6	NOUN
ejpam-5869	229	76	,	,	PUNCT
ejpam-5869	229	77	then∣∣ϱp+2	then∣∣ϱp+2	PROPN
ejpam-5869	229	78	−	−	PROPN
ejpam-5869	230	1	µϱ2p+1	µϱ2p+1	PROPN
ejpam-5869	230	2	∣∣+	∣∣+	PROPN
ejpam-5869	230	3	1	1	NUM
ejpam-5869	230	4	2	2	NUM
ejpam-5869	230	5	[	[	PUNCT
ejpam-5869	230	6	5	5	NUM
ejpam-5869	230	7	(	(	PUNCT
ejpam-5869	230	8	pα+	pα+	NOUN
ejpam-5869	230	9	λ)2	λ)2	PROPN
ejpam-5869	230	10	p	p	NOUN
ejpam-5869	230	11	(	(	PUNCT
ejpam-5869	230	12	pα+	pα+	PROPN
ejpam-5869	230	13	2λ	2λ	PROPN
ejpam-5869	230	14	)	)	PUNCT
ejpam-5869	231	1	+	+	CCONJ
ejpam-5869	231	2	α+	α+	PUNCT
ejpam-5869	231	3	2µ−	2µ−	NUM
ejpam-5869	231	4	1	1	NUM
ejpam-5869	231	5	]	]	PUNCT
ejpam-5869	231	6	|ϱp+1|2	|ϱp+1|2	X
ejpam-5869	231	7	≤	≤	PROPN
ejpam-5869	231	8	p	p	ADJ
ejpam-5869	231	9	2	2	NUM
ejpam-5869	231	10	(	(	PUNCT
ejpam-5869	231	11	pα+	pα+	NOUN
ejpam-5869	231	12	2λ	2λ	PROPN
ejpam-5869	231	13	)	)	PUNCT
ejpam-5869	231	14	.	.	PUNCT
ejpam-5869	232	1	if	if	SCONJ
ejpam-5869	232	2	σ6	σ6	NOUN
ejpam-5869	232	3	≤	≤	X
ejpam-5869	232	4	µ	µ	PRON
ejpam-5869	232	5	≤	≤	NUM
ejpam-5869	232	6	σ5	σ5	NOUN
ejpam-5869	232	7	,	,	PUNCT
ejpam-5869	232	8	then∣∣ϱp+2	then∣∣ϱp+2	PROPN
ejpam-5869	232	9	−	−	PROPN
ejpam-5869	232	10	µϱ2p+1	µϱ2p+1	PROPN
ejpam-5869	232	11	∣∣+	∣∣+	PROPN
ejpam-5869	232	12	1	1	NUM
ejpam-5869	232	13	2	2	NUM
ejpam-5869	232	14	[	[	PUNCT
ejpam-5869	232	15	3	3	NUM
ejpam-5869	232	16	(	(	PUNCT
ejpam-5869	232	17	pα+	pα+	NOUN
ejpam-5869	232	18	λ)2	λ)2	PROPN
ejpam-5869	232	19	p	p	NOUN
ejpam-5869	232	20	(	(	PUNCT
ejpam-5869	232	21	pα+	pα+	PROPN
ejpam-5869	232	22	2λ	2λ	PROPN
ejpam-5869	232	23	)	)	PUNCT
ejpam-5869	233	1	−	−	PROPN
ejpam-5869	233	2	α−	α−	ADP
ejpam-5869	233	3	2µ+	2µ+	NUM
ejpam-5869	233	4	1	1	NUM
ejpam-5869	233	5	]	]	PUNCT
ejpam-5869	233	6	|ϱp+1|2	|ϱp+1|2	X
ejpam-5869	234	1	≤	≤	PROPN
ejpam-5869	234	2	p	p	ADJ
ejpam-5869	234	3	2	2	NUM
ejpam-5869	234	4	(	(	PUNCT
ejpam-5869	234	5	pα+	pα+	NOUN
ejpam-5869	234	6	2λ	2λ	PROPN
ejpam-5869	234	7	)	)	PUNCT
ejpam-5869	234	8	.	.	PUNCT
ejpam-5869	235	1	putting	put	VERB
ejpam-5869	235	2	α	α	NOUN
ejpam-5869	235	3	=	=	SYM
ejpam-5869	235	4	0	0	NUM
ejpam-5869	235	5	in	in	ADP
ejpam-5869	235	6	theorem	theorem	NOUN
ejpam-5869	235	7	6	6	NUM
ejpam-5869	235	8	,	,	PUNCT
ejpam-5869	235	9	we	we	PRON
ejpam-5869	235	10	obtain	obtain	VERB
ejpam-5869	235	11	the	the	DET
ejpam-5869	235	12	following	follow	VERB
ejpam-5869	235	13	result	result	NOUN
ejpam-5869	235	14	.	.	PUNCT
ejpam-5869	236	1	corollary	corollary	ADJ
ejpam-5869	236	2	10	10	NUM
ejpam-5869	236	3	.	.	PUNCT
ejpam-5869	237	1	let	let	VERB
ejpam-5869	237	2	σ7	σ7	VERB
ejpam-5869	237	3	=	=	SYM
ejpam-5869	237	4	1	1	NUM
ejpam-5869	237	5	2	2	NUM
ejpam-5869	237	6	(	(	PUNCT
ejpam-5869	237	7	1	1	NUM
ejpam-5869	237	8	+	+	CCONJ
ejpam-5869	237	9	β	β	X
ejpam-5869	237	10	+	+	CCONJ
ejpam-5869	237	11	5	5	NUM
ejpam-5869	237	12	(	(	PUNCT
ejpam-5869	237	13	pβ	pβ	ADP
ejpam-5869	237	14	+	+	CCONJ
ejpam-5869	237	15	λ)2	λ)2	NOUN
ejpam-5869	237	16	p	p	NOUN
ejpam-5869	237	17	(	(	PUNCT
ejpam-5869	237	18	pβ	pβ	PROPN
ejpam-5869	237	19	+	+	ADJ
ejpam-5869	237	20	2λ	2λ	NUM
ejpam-5869	237	21	)	)	PUNCT
ejpam-5869	237	22	)	)	PUNCT
ejpam-5869	237	23	,	,	PUNCT
ejpam-5869	237	24	σ8	σ8	NOUN
ejpam-5869	237	25	=	=	SYM
ejpam-5869	237	26	1	1	NUM
ejpam-5869	237	27	2	2	NUM
ejpam-5869	237	28	(	(	PUNCT
ejpam-5869	237	29	1	1	NUM
ejpam-5869	238	1	+	+	NUM
ejpam-5869	238	2	β	β	NUM
ejpam-5869	238	3	−	−	NOUN
ejpam-5869	238	4	3	3	NUM
ejpam-5869	238	5	(	(	PUNCT
ejpam-5869	238	6	pβ	pβ	ADP
ejpam-5869	238	7	+	+	CCONJ
ejpam-5869	238	8	λ)2	λ)2	NOUN
ejpam-5869	238	9	p	p	NOUN
ejpam-5869	238	10	(	(	PUNCT
ejpam-5869	238	11	pβ	pβ	PROPN
ejpam-5869	238	12	+	+	ADJ
ejpam-5869	238	13	2λ	2λ	NUM
ejpam-5869	238	14	)	)	PUNCT
ejpam-5869	238	15	)	)	PUNCT
ejpam-5869	238	16	,	,	PUNCT
ejpam-5869	239	1	σ9	σ9	PROPN
ejpam-5869	239	2	=	=	NOUN
ejpam-5869	239	3	1	1	NUM
ejpam-5869	239	4	2	2	NUM
ejpam-5869	239	5	(	(	PUNCT
ejpam-5869	239	6	1	1	NUM
ejpam-5869	239	7	+	+	CCONJ
ejpam-5869	239	8	β	β	X
ejpam-5869	239	9	+	+	CCONJ
ejpam-5869	239	10	(	(	PUNCT
ejpam-5869	239	11	pβ	pβ	ADP
ejpam-5869	239	12	+	+	CCONJ
ejpam-5869	239	13	λ)2	λ)2	NOUN
ejpam-5869	239	14	p	p	NOUN
ejpam-5869	239	15	(	(	PUNCT
ejpam-5869	239	16	pβ	pβ	PROPN
ejpam-5869	239	17	+	+	ADJ
ejpam-5869	239	18	2λ	2λ	NUM
ejpam-5869	239	19	)	)	PUNCT
ejpam-5869	239	20	)	)	PUNCT
ejpam-5869	239	21	.	.	PUNCT
ejpam-5869	240	1	if	if	SCONJ
ejpam-5869	240	2	χ	χ	PRON
ejpam-5869	240	3	given	give	VERB
ejpam-5869	240	4	by	by	ADP
ejpam-5869	240	5	(	(	PUNCT
ejpam-5869	240	6	1	1	NUM
ejpam-5869	240	7	)	)	PUNCT
ejpam-5869	240	8	belongs	belong	VERB
ejpam-5869	240	9	to	to	ADP
ejpam-5869	240	10	the	the	DET
ejpam-5869	240	11	class	class	NOUN
ejpam-5869	240	12	bp	bp	PROPN
ejpam-5869	240	13	(	(	PUNCT
ejpam-5869	240	14	λ	λ	PROPN
ejpam-5869	240	15	,	,	PUNCT
ejpam-5869	240	16	β	β	NOUN
ejpam-5869	240	17	)	)	PUNCT
ejpam-5869	240	18	,	,	PUNCT
ejpam-5869	240	19	then	then	ADV
ejpam-5869	240	20	∣∣ϱp+2	∣∣ϱp+2	PROPN
ejpam-5869	240	21	−	−	PROPN
ejpam-5869	240	22	µϱ2p+1	µϱ2p+1	PROPN
ejpam-5869	240	23	∣∣	∣∣	NUM
ejpam-5869	240	24	≤	≤	NUM
ejpam-5869	240	25			PUNCT
ejpam-5869	240	26	p	p	NOUN
ejpam-5869	240	27	8	8	NUM
ejpam-5869	240	28	[	[	SYM
ejpam-5869	240	29	1	1	NUM
ejpam-5869	240	30	pβ+2λ	pβ+2λ	NOUN
ejpam-5869	240	31	+	+	CCONJ
ejpam-5869	240	32	p(β−2µ+1	p(β−2µ+1	NOUN
ejpam-5869	240	33	)	)	PUNCT
ejpam-5869	240	34	(	(	PUNCT
ejpam-5869	240	35	pβ+λ)2	pβ+λ)2	PROPN
ejpam-5869	240	36	]	]	PUNCT
ejpam-5869	240	37	(	(	PUNCT
ejpam-5869	240	38	µ	µ	X
ejpam-5869	240	39	≤	≤	NUM
ejpam-5869	240	40	σ7	σ7	VERB
ejpam-5869	240	41	)	)	PUNCT
ejpam-5869	240	42	−	−	PROPN
ejpam-5869	241	1	p	p	PROPN
ejpam-5869	241	2	2(pβ+2λ	2(pβ+2λ	PROPN
ejpam-5869	241	3	)	)	PUNCT
ejpam-5869	241	4	(	(	PUNCT
ejpam-5869	241	5	σ7	σ7	VERB
ejpam-5869	241	6	≤	≤	NUM
ejpam-5869	241	7	µ	µ	PRON
ejpam-5869	241	8	≤	≤	NUM
ejpam-5869	241	9	σ8	σ8	NOUN
ejpam-5869	241	10	)	)	PUNCT
ejpam-5869	241	11	−p	−p	ADJ
ejpam-5869	241	12	8	8	NUM
ejpam-5869	241	13	[	[	PUNCT
ejpam-5869	241	14	1	1	NUM
ejpam-5869	241	15	pβ+2λ	pβ+2λ	NOUN
ejpam-5869	241	16	+	+	CCONJ
ejpam-5869	241	17	p(β−2µ+1	p(β−2µ+1	NOUN
ejpam-5869	241	18	)	)	PUNCT
ejpam-5869	241	19	(	(	PUNCT
ejpam-5869	241	20	pβ+λ)2	pβ+λ)2	PROPN
ejpam-5869	241	21	]	]	PUNCT
ejpam-5869	241	22	(	(	PUNCT
ejpam-5869	241	23	µ	µ	X
ejpam-5869	241	24	≥	≥	NUM
ejpam-5869	241	25	σ8	σ8	NOUN
ejpam-5869	241	26	)	)	PUNCT
ejpam-5869	241	27	further	far	ADV
ejpam-5869	241	28	,	,	PUNCT
ejpam-5869	241	29	if	if	SCONJ
ejpam-5869	241	30	σ7	σ7	VERB
ejpam-5869	241	31	≤	≤	NUM
ejpam-5869	241	32	µ	µ	PRON
ejpam-5869	241	33	≤	≤	NOUN
ejpam-5869	241	34	σ9	σ9	PROPN
ejpam-5869	241	35	,	,	PUNCT
ejpam-5869	241	36	then∣∣ϱp+2	then∣∣ϱp+2	PROPN
ejpam-5869	241	37	−	−	PROPN
ejpam-5869	241	38	µϱ2p+1	µϱ2p+1	PROPN
ejpam-5869	241	39	∣∣+	∣∣+	PROPN
ejpam-5869	241	40	1	1	NUM
ejpam-5869	241	41	2	2	NUM
ejpam-5869	241	42	[	[	PUNCT
ejpam-5869	241	43	−5	−5	NOUN
ejpam-5869	241	44	(	(	PUNCT
ejpam-5869	241	45	pβ	pβ	ADP
ejpam-5869	241	46	+	+	CCONJ
ejpam-5869	241	47	λ)2	λ)2	NOUN
ejpam-5869	241	48	p	p	NOUN
ejpam-5869	241	49	(	(	PUNCT
ejpam-5869	241	50	pβ	pβ	PROPN
ejpam-5869	241	51	+	+	ADJ
ejpam-5869	241	52	2λ	2λ	NUM
ejpam-5869	241	53	)	)	PUNCT
ejpam-5869	242	1	−	−	NOUN
ejpam-5869	242	2	β	β	X
ejpam-5869	243	1	+	+	PUNCT
ejpam-5869	244	1	2µ−	2µ−	NUM
ejpam-5869	244	2	1	1	NUM
ejpam-5869	244	3	]	]	PUNCT
ejpam-5869	244	4	|ϱp+1|2	|ϱp+1|2	X
ejpam-5869	244	5	≤	≤	ADJ
ejpam-5869	244	6	−	−	PROPN
ejpam-5869	245	1	p	p	NOUN
ejpam-5869	245	2	2	2	NUM
ejpam-5869	245	3	(	(	PUNCT
ejpam-5869	245	4	pβ	pβ	ADV
ejpam-5869	245	5	+	+	ADJ
ejpam-5869	245	6	2λ	2λ	NUM
ejpam-5869	245	7	)	)	PUNCT
ejpam-5869	245	8	.	.	PUNCT
ejpam-5869	246	1	if	if	SCONJ
ejpam-5869	246	2	σ9	σ9	PROPN
ejpam-5869	246	3	≤	≤	PROPN
ejpam-5869	246	4	µ	µ	PRON
ejpam-5869	246	5	≤	≤	NUM
ejpam-5869	246	6	σ8	σ8	NOUN
ejpam-5869	246	7	,	,	PUNCT
ejpam-5869	246	8	then∣∣ϱp+2	then∣∣ϱp+2	PROPN
ejpam-5869	246	9	−	−	PROPN
ejpam-5869	246	10	µϱ2p+1	µϱ2p+1	PROPN
ejpam-5869	246	11	∣∣+	∣∣+	PROPN
ejpam-5869	246	12	1	1	NUM
ejpam-5869	246	13	2	2	NUM
ejpam-5869	246	14	[	[	PUNCT
ejpam-5869	246	15	−3	−3	NOUN
ejpam-5869	246	16	(	(	PUNCT
ejpam-5869	246	17	pβ	pβ	ADP
ejpam-5869	246	18	+	+	CCONJ
ejpam-5869	246	19	λ)2	λ)2	NOUN
ejpam-5869	246	20	p	p	NOUN
ejpam-5869	246	21	(	(	PUNCT
ejpam-5869	246	22	pβ	pβ	PROPN
ejpam-5869	246	23	+	+	ADJ
ejpam-5869	246	24	2λ	2λ	NUM
ejpam-5869	246	25	)	)	PUNCT
ejpam-5869	247	1	+	+	CCONJ
ejpam-5869	247	2	β	β	NUM
ejpam-5869	247	3	−	−	NOUN
ejpam-5869	247	4	2µ+	2µ+	NUM
ejpam-5869	247	5	1	1	NUM
ejpam-5869	247	6	]	]	PUNCT
ejpam-5869	247	7	|ϱp+1|2	|ϱp+1|2	X
ejpam-5869	247	8	≤	≤	ADJ
ejpam-5869	248	1	−	−	PROPN
ejpam-5869	248	2	p	p	NOUN
ejpam-5869	248	3	2	2	NUM
ejpam-5869	248	4	(	(	PUNCT
ejpam-5869	248	5	pβ	pβ	ADV
ejpam-5869	248	6	+	+	ADJ
ejpam-5869	248	7	2λ	2λ	NUM
ejpam-5869	248	8	)	)	PUNCT
ejpam-5869	248	9	.	.	PUNCT
ejpam-5869	249	1	t.m	t.m	PROPN
ejpam-5869	249	2	.	.	PROPN
ejpam-5869	249	3	seoudy	seoudy	PROPN
ejpam-5869	249	4	,	,	PUNCT
ejpam-5869	249	5	a.e	a.e	PROPN
ejpam-5869	249	6	.	.	PROPN
ejpam-5869	249	7	shammaky	shammaky	PROPN
ejpam-5869	249	8	/	/	SYM
ejpam-5869	249	9	eur	eur	PROPN
ejpam-5869	249	10	.	.	PUNCT
ejpam-5869	250	1	j.	j.	PROPN
ejpam-5869	250	2	pure	pure	PROPN
ejpam-5869	250	3	appl	appl	PROPN
ejpam-5869	250	4	.	.	PROPN
ejpam-5869	250	5	math	math	PROPN
ejpam-5869	250	6	,	,	PUNCT
ejpam-5869	250	7	18	18	NUM
ejpam-5869	250	8	(	(	PUNCT
ejpam-5869	250	9	2	2	NUM
ejpam-5869	250	10	)	)	PUNCT
ejpam-5869	250	11	(	(	PUNCT
ejpam-5869	250	12	2025	2025	NUM
ejpam-5869	250	13	)	)	PUNCT
ejpam-5869	250	14	,	,	PUNCT
ejpam-5869	250	15	5869	5869	NUM
ejpam-5869	250	16	12	12	NUM
ejpam-5869	250	17	of	of	ADP
ejpam-5869	250	18	14	14	NUM
ejpam-5869	250	19	4	4	NUM
ejpam-5869	250	20	.	.	PUNCT
ejpam-5869	250	21	conclusion	conclusion	NOUN
ejpam-5869	250	22	in	in	ADP
ejpam-5869	250	23	this	this	DET
ejpam-5869	250	24	presentation	presentation	NOUN
ejpam-5869	250	25	,	,	PUNCT
ejpam-5869	250	26	we	we	PRON
ejpam-5869	250	27	have	have	AUX
ejpam-5869	250	28	defined	define	VERB
ejpam-5869	250	29	the	the	DET
ejpam-5869	250	30	subclass	subclass	NOUN
ejpam-5869	250	31	of	of	ADP
ejpam-5869	250	32	multivalently	multivalently	ADJ
ejpam-5869	250	33	bazilevič	bazilevič	NOUN
ejpam-5869	250	34	and	and	CCONJ
ejpam-5869	250	35	nonbazilevič	nonbazilevič	NOUN
ejpam-5869	250	36	functions	function	NOUN
ejpam-5869	250	37	that	that	PRON
ejpam-5869	250	38	are	be	AUX
ejpam-5869	250	39	subordinate	subordinate	ADJ
ejpam-5869	250	40	to	to	ADP
ejpam-5869	250	41	the	the	DET
ejpam-5869	250	42	function	function	NOUN
ejpam-5869	250	43	of	of	ADP
ejpam-5869	250	44	the	the	DET
ejpam-5869	250	45	bernoulli	bernoulli	PROPN
ejpam-5869	250	46	domain	domain	NOUN
ejpam-5869	250	47	lemniscate	lemniscate	PROPN
ejpam-5869	250	48	bn	bn	PROPN
ejpam-5869	251	1	p	p	PROPN
ejpam-5869	251	2	(	(	PUNCT
ejpam-5869	251	3	λ	λ	PROPN
ejpam-5869	251	4	,	,	PUNCT
ejpam-5869	251	5	α	α	X
ejpam-5869	251	6	,	,	PUNCT
ejpam-5869	251	7	β	β	NOUN
ejpam-5869	251	8	)	)	PUNCT
ejpam-5869	251	9	.	.	PUNCT
ejpam-5869	252	1	we	we	PRON
ejpam-5869	252	2	have	have	AUX
ejpam-5869	252	3	investigated	investigate	VERB
ejpam-5869	252	4	some	some	DET
ejpam-5869	252	5	interesting	interesting	ADJ
ejpam-5869	252	6	properties	property	NOUN
ejpam-5869	252	7	such	such	ADJ
ejpam-5869	252	8	as	as	ADP
ejpam-5869	252	9	subordination	subordination	NOUN
ejpam-5869	252	10	results	result	NOUN
ejpam-5869	252	11	,	,	PUNCT
ejpam-5869	252	12	convolution	convolution	NOUN
ejpam-5869	252	13	properties	property	NOUN
ejpam-5869	252	14	,	,	PUNCT
ejpam-5869	252	15	coefficients	coefficient	NOUN
ejpam-5869	252	16	estimate	estimate	NOUN
ejpam-5869	252	17	and	and	CCONJ
ejpam-5869	252	18	fekete	fekete	PROPN
ejpam-5869	252	19	-	-	PUNCT
ejpam-5869	252	20	szegö	szegö	ADJ
ejpam-5869	252	21	inequalities	inequality	NOUN
ejpam-5869	252	22	for	for	ADP
ejpam-5869	252	23	functions	function	NOUN
ejpam-5869	252	24	belonging	belong	VERB
ejpam-5869	252	25	to	to	ADP
ejpam-5869	252	26	this	this	DET
ejpam-5869	252	27	subclass	subclass	NOUN
ejpam-5869	252	28	.	.	PUNCT
ejpam-5869	253	1	this	this	DET
ejpam-5869	253	2	paper	paper	NOUN
ejpam-5869	253	3	provides	provide	VERB
ejpam-5869	253	4	significant	significant	ADJ
ejpam-5869	253	5	contributions	contribution	NOUN
ejpam-5869	253	6	to	to	ADP
ejpam-5869	253	7	the	the	DET
ejpam-5869	253	8	study	study	NOUN
ejpam-5869	253	9	of	of	ADP
ejpam-5869	253	10	some	some	DET
ejpam-5869	253	11	geometric	geometric	ADJ
ejpam-5869	253	12	properties	property	NOUN
ejpam-5869	253	13	of	of	ADP
ejpam-5869	253	14	the	the	DET
ejpam-5869	253	15	bazilevič	bazilevič	NOUN
ejpam-5869	253	16	and	and	CCONJ
ejpam-5869	253	17	non	non	ADJ
ejpam-5869	253	18	-	-	ADJ
ejpam-5869	253	19	bazilevič	bazilevič	ADJ
ejpam-5869	253	20	functions	function	NOUN
ejpam-5869	253	21	.	.	PUNCT
ejpam-5869	254	1	it	it	PRON
ejpam-5869	254	2	also	also	ADV
ejpam-5869	254	3	highlights	highlight	VERB
ejpam-5869	254	4	the	the	DET
ejpam-5869	254	5	potential	potential	NOUN
ejpam-5869	254	6	for	for	ADP
ejpam-5869	254	7	future	future	ADJ
ejpam-5869	254	8	research	research	NOUN
ejpam-5869	254	9	to	to	PART
ejpam-5869	254	10	explore	explore	VERB
ejpam-5869	254	11	important	important	ADJ
ejpam-5869	254	12	geometric	geometric	ADJ
ejpam-5869	254	13	properties	property	NOUN
ejpam-5869	254	14	for	for	ADP
ejpam-5869	254	15	similar	similar	ADJ
ejpam-5869	254	16	subclasses	subclass	NOUN
ejpam-5869	254	17	of	of	ADP
ejpam-5869	254	18	analytic	analytic	ADJ
ejpam-5869	254	19	functions	function	NOUN
ejpam-5869	254	20	involving	involve	VERB
ejpam-5869	254	21	linear	linear	PROPN
ejpam-5869	254	22	operators	operator	NOUN
ejpam-5869	254	23	.	.	PUNCT
ejpam-5869	255	1	funding	fund	VERB
ejpam-5869	255	2	this	this	DET
ejpam-5869	255	3	research	research	NOUN
ejpam-5869	255	4	work	work	NOUN
ejpam-5869	255	5	was	be	AUX
ejpam-5869	255	6	funded	fund	VERB
ejpam-5869	255	7	by	by	ADP
ejpam-5869	255	8	umm	umm	INTJ
ejpam-5869	255	9	al	al	PROPN
ejpam-5869	255	10	-	-	PUNCT
ejpam-5869	255	11	qura	qura	PROPN
ejpam-5869	255	12	university	university	NOUN
ejpam-5869	255	13	,	,	PUNCT
ejpam-5869	255	14	saudi	saudi	PROPN
ejpam-5869	255	15	arabia	arabia	PROPN
ejpam-5869	255	16	under	under	ADP
ejpam-5869	255	17	grant	grant	NOUN
ejpam-5869	255	18	number	number	NOUN
ejpam-5869	255	19	:	:	PUNCT
ejpam-5869	255	20	25uqu4350561gssr02	25uqu4350561gssr02	NUM
ejpam-5869	255	21	.	.	X
ejpam-5869	256	1	acknowledgements	acknowledgement	NOUN
ejpam-5869	256	2	the	the	DET
ejpam-5869	256	3	authors	author	NOUN
ejpam-5869	256	4	extend	extend	VERB
ejpam-5869	256	5	their	their	PRON
ejpam-5869	256	6	appreciation	appreciation	NOUN
ejpam-5869	256	7	to	to	ADP
ejpam-5869	256	8	umm	umm	INTJ
ejpam-5869	256	9	al	al	PROPN
ejpam-5869	256	10	-	-	PUNCT
ejpam-5869	256	11	qura	qura	PROPN
ejpam-5869	256	12	university	university	PROPN
ejpam-5869	256	13	,	,	PUNCT
ejpam-5869	256	14	saudi	saudi	PROPN
ejpam-5869	256	15	arabia	arabia	PROPN
ejpam-5869	256	16	for	for	ADP
ejpam-5869	256	17	funding	fund	VERB
ejpam-5869	256	18	this	this	DET
ejpam-5869	256	19	research	research	NOUN
ejpam-5869	256	20	work	work	NOUN
ejpam-5869	256	21	through	through	ADP
ejpam-5869	256	22	grant	grant	NOUN
ejpam-5869	256	23	number	number	NOUN
ejpam-5869	256	24	:	:	PUNCT
ejpam-5869	256	25	25uqu4350561gssr02	25uqu4350561gssr02	NUM
ejpam-5869	256	26	.	.	NUM
ejpam-5869	256	27	references	reference	NOUN
ejpam-5869	257	1	[	[	X
ejpam-5869	257	2	1	1	X
ejpam-5869	257	3	]	]	PUNCT
ejpam-5869	257	4	t.	t.	PROPN
ejpam-5869	257	5	bulboaca	bulboaca	PROPN
ejpam-5869	257	6	.	.	PUNCT
ejpam-5869	257	7	differential	differential	ADJ
ejpam-5869	257	8	subordinations	subordination	NOUN
ejpam-5869	257	9	and	and	CCONJ
ejpam-5869	257	10	superordinations	superordination	NOUN
ejpam-5869	257	11	,	,	PUNCT
ejpam-5869	257	12	recent	recent	ADJ
ejpam-5869	257	13	results	result	NOUN
ejpam-5869	257	14	.	.	PUNCT
ejpam-5869	258	1	house	house	NOUN
ejpam-5869	258	2	of	of	ADP
ejpam-5869	258	3	scientific	scientific	ADJ
ejpam-5869	258	4	book	book	NOUN
ejpam-5869	258	5	publ	publ	NOUN
ejpam-5869	258	6	.	.	PUNCT
ejpam-5869	258	7	,	,	PUNCT
ejpam-5869	258	8	cluj	cluj	NOUN
ejpam-5869	258	9	-	-	PUNCT
ejpam-5869	258	10	napoca	napoca	NOUN
ejpam-5869	258	11	,	,	PUNCT
ejpam-5869	258	12	2005	2005	NUM
ejpam-5869	258	13	.	.	PUNCT
ejpam-5869	259	1	[	[	X
ejpam-5869	259	2	2	2	NUM
ejpam-5869	259	3	]	]	X
ejpam-5869	259	4	s.s	s.s	PROPN
ejpam-5869	259	5	.	.	PROPN
ejpam-5869	259	6	miller	miller	PROPN
ejpam-5869	259	7	and	and	CCONJ
ejpam-5869	259	8	p.t	p.t	PROPN
ejpam-5869	259	9	.	.	PROPN
ejpam-5869	259	10	mocanu	mocanu	PROPN
ejpam-5869	259	11	.	.	PUNCT
ejpam-5869	260	1	differential	differential	ADJ
ejpam-5869	260	2	subordination	subordination	NOUN
ejpam-5869	260	3	:	:	PUNCT
ejpam-5869	260	4	theory	theory	NOUN
ejpam-5869	260	5	and	and	CCONJ
ejpam-5869	260	6	applications	application	NOUN
ejpam-5869	260	7	,	,	PUNCT
ejpam-5869	260	8	in	in	ADP
ejpam-5869	260	9	:	:	PUNCT
ejpam-5869	260	10	series	series	NOUN
ejpam-5869	260	11	in	in	ADP
ejpam-5869	260	12	pure	pure	ADJ
ejpam-5869	260	13	and	and	CCONJ
ejpam-5869	260	14	applied	applied	ADJ
ejpam-5869	260	15	mathematics	mathematic	NOUN
ejpam-5869	260	16	.	.	PUNCT
ejpam-5869	261	1	marcel	marcel	PROPN
ejpam-5869	261	2	dekker	dekker	PROPN
ejpam-5869	261	3	,	,	PUNCT
ejpam-5869	261	4	new	new	PROPN
ejpam-5869	261	5	york	york	PROPN
ejpam-5869	261	6	,	,	PUNCT
ejpam-5869	261	7	2000	2000	NUM
ejpam-5869	261	8	.	.	PUNCT
ejpam-5869	262	1	[	[	X
ejpam-5869	262	2	3	3	X
ejpam-5869	262	3	]	]	X
ejpam-5869	262	4	j.	j.	PROPN
ejpam-5869	262	5	sokól	sokól	PROPN
ejpam-5869	262	6	and	and	CCONJ
ejpam-5869	262	7	j.	j.	PROPN
ejpam-5869	262	8	stankiewicz	stankiewicz	PROPN
ejpam-5869	262	9	.	.	PUNCT
ejpam-5869	263	1	radius	radius	NOUN
ejpam-5869	263	2	of	of	ADP
ejpam-5869	263	3	convexity	convexity	NOUN
ejpam-5869	263	4	of	of	ADP
ejpam-5869	263	5	some	some	DET
ejpam-5869	263	6	subclasses	subclass	NOUN
ejpam-5869	263	7	of	of	ADP
ejpam-5869	263	8	strongly	strongly	ADV
ejpam-5869	263	9	starlike	starlike	NOUN
ejpam-5869	263	10	functions	function	NOUN
ejpam-5869	263	11	.	.	PUNCT
ejpam-5869	264	1	folia	folia	PROPN
ejpam-5869	264	2	scient	scient	PROPN
ejpam-5869	264	3	.	.	PUNCT
ejpam-5869	265	1	univ	univ	PROPN
ejpam-5869	265	2	.	.	PUNCT
ejpam-5869	266	1	tech	tech	NOUN
ejpam-5869	266	2	.	.	PUNCT
ejpam-5869	267	1	resoviensis	resoviensis	NOUN
ejpam-5869	267	2	,	,	PUNCT
ejpam-5869	267	3	mat	mat	NOUN
ejpam-5869	267	4	.	.	PROPN
ejpam-5869	267	5	,	,	PUNCT
ejpam-5869	267	6	19:101–105	19:101–105	PROPN
ejpam-5869	267	7	,	,	PUNCT
ejpam-5869	267	8	1996	1996	NUM
ejpam-5869	267	9	.	.	PUNCT
ejpam-5869	268	1	[	[	X
ejpam-5869	268	2	4	4	NUM
ejpam-5869	268	3	]	]	X
ejpam-5869	268	4	r.m	r.m	PROPN
ejpam-5869	268	5	.	.	PROPN
ejpam-5869	268	6	ali	ali	PROPN
ejpam-5869	268	7	,	,	PUNCT
ejpam-5869	268	8	n.e	n.e	PROPN
ejpam-5869	268	9	.	.	PROPN
ejpam-5869	268	10	chu	chu	PROPN
ejpam-5869	268	11	,	,	PUNCT
ejpam-5869	268	12	v.	v.	ADP
ejpam-5869	268	13	ravichandran	ravichandran	NOUN
ejpam-5869	268	14	,	,	PUNCT
ejpam-5869	268	15	and	and	CCONJ
ejpam-5869	268	16	s.s	s.s	PROPN
ejpam-5869	268	17	.	.	PROPN
ejpam-5869	268	18	kumar	kumar	PROPN
ejpam-5869	268	19	.	.	PUNCT
ejpam-5869	269	1	first	first	ADJ
ejpam-5869	269	2	order	order	NOUN
ejpam-5869	269	3	differential	differential	ADJ
ejpam-5869	269	4	subordination	subordination	NOUN
ejpam-5869	269	5	for	for	ADP
ejpam-5869	269	6	functions	function	NOUN
ejpam-5869	269	7	associated	associate	VERB
ejpam-5869	269	8	with	with	ADP
ejpam-5869	269	9	the	the	DET
ejpam-5869	269	10	lemniscate	lemniscate	NOUN
ejpam-5869	269	11	of	of	ADP
ejpam-5869	269	12	bernoulli	bernoulli	PROPN
ejpam-5869	269	13	.	.	PUNCT
ejpam-5869	270	1	taiwan	taiwan	PROPN
ejpam-5869	270	2	.	.	PUNCT
ejpam-5869	271	1	j.	j.	PROPN
ejpam-5869	271	2	math	math	PROPN
ejpam-5869	271	3	.	.	PROPN
ejpam-5869	271	4	,	,	PUNCT
ejpam-5869	271	5	16:1017–1026	16:1017–1026	PROPN
ejpam-5869	271	6	,	,	PUNCT
ejpam-5869	271	7	2012	2012	NUM
ejpam-5869	271	8	.	.	PUNCT
ejpam-5869	272	1	[	[	X
ejpam-5869	272	2	5	5	NUM
ejpam-5869	272	3	]	]	X
ejpam-5869	272	4	s.a	s.a	PROPN
ejpam-5869	272	5	.	.	PROPN
ejpam-5869	272	6	halim	halim	PROPN
ejpam-5869	272	7	and	and	CCONJ
ejpam-5869	272	8	r.	r.	PROPN
ejpam-5869	272	9	omar	omar	PROPN
ejpam-5869	272	10	.	.	PUNCT
ejpam-5869	273	1	applications	application	NOUN
ejpam-5869	273	2	of	of	ADP
ejpam-5869	273	3	certain	certain	ADJ
ejpam-5869	273	4	functions	function	NOUN
ejpam-5869	273	5	associated	associate	VERB
ejpam-5869	273	6	with	with	ADP
ejpam-5869	273	7	lemniscate	lemniscate	PROPN
ejpam-5869	273	8	bernoulli	bernoulli	PROPN
ejpam-5869	273	9	.	.	PUNCT
ejpam-5869	274	1	j.	j.	PROPN
ejpam-5869	274	2	indones	indones	PROPN
ejpam-5869	274	3	.	.	PUNCT
ejpam-5869	275	1	math	math	NOUN
ejpam-5869	275	2	.	.	PUNCT
ejpam-5869	276	1	soc	soc	PROPN
ejpam-5869	276	2	.	.	PUNCT
ejpam-5869	276	3	,	,	PUNCT
ejpam-5869	276	4	18:93–99	18:93–99	NUM
ejpam-5869	276	5	,	,	PUNCT
ejpam-5869	276	6	2012	2012	NUM
ejpam-5869	276	7	.	.	PUNCT
ejpam-5869	277	1	[	[	X
ejpam-5869	277	2	6	6	NUM
ejpam-5869	277	3	]	]	PUNCT
ejpam-5869	277	4	j.	j.	PROPN
ejpam-5869	277	5	sokól	sokól	PROPN
ejpam-5869	277	6	.	.	PUNCT
ejpam-5869	278	1	coefficient	coefficient	NOUN
ejpam-5869	278	2	estimates	estimate	NOUN
ejpam-5869	278	3	in	in	ADP
ejpam-5869	278	4	a	a	DET
ejpam-5869	278	5	class	class	NOUN
ejpam-5869	278	6	of	of	ADP
ejpam-5869	278	7	strongly	strongly	ADV
ejpam-5869	278	8	starlike	starlike	NOUN
ejpam-5869	278	9	functions	function	NOUN
ejpam-5869	278	10	.	.	PUNCT
ejpam-5869	279	1	kyungpook	kyungpook	PROPN
ejpam-5869	279	2	math	math	PROPN
ejpam-5869	279	3	.	.	PUNCT
ejpam-5869	280	1	j.	j.	PROPN
ejpam-5869	280	2	,	,	PUNCT
ejpam-5869	280	3	49:349–353	49:349–353	PROPN
ejpam-5869	280	4	,	,	PUNCT
ejpam-5869	280	5	2009	2009	NUM
ejpam-5869	280	6	.	.	PUNCT
ejpam-5869	281	1	[	[	X
ejpam-5869	281	2	7	7	X
ejpam-5869	281	3	]	]	X
ejpam-5869	281	4	j.	j.	PROPN
ejpam-5869	281	5	sokól	sokól	PROPN
ejpam-5869	281	6	.	.	PUNCT
ejpam-5869	282	1	radius	radius	NOUN
ejpam-5869	282	2	problem	problem	NOUN
ejpam-5869	282	3	in	in	ADP
ejpam-5869	282	4	the	the	DET
ejpam-5869	282	5	class	class	NOUN
ejpam-5869	282	6	sl∗.	sl∗.	PROPN
ejpam-5869	282	7	appl	appl	PROPN
ejpam-5869	282	8	.	.	PUNCT
ejpam-5869	283	1	math	math	NOUN
ejpam-5869	283	2	.	.	PUNCT
ejpam-5869	284	1	comput	comput	NOUN
ejpam-5869	284	2	.	.	PUNCT
ejpam-5869	284	3	,	,	PUNCT
ejpam-5869	284	4	214:569–573	214:569–573	NUM
ejpam-5869	284	5	,	,	PUNCT
ejpam-5869	284	6	2009	2009	NUM
ejpam-5869	284	7	.	.	PUNCT
ejpam-5869	285	1	[	[	X
ejpam-5869	285	2	8	8	NUM
ejpam-5869	285	3	]	]	X
ejpam-5869	285	4	t.m	t.m	PROPN
ejpam-5869	285	5	.	.	PROPN
ejpam-5869	285	6	seoudy	seoudy	PROPN
ejpam-5869	285	7	and	and	CCONJ
ejpam-5869	285	8	a.e	a.e	PROPN
ejpam-5869	285	9	.	.	PROPN
ejpam-5869	285	10	shammaky	shammaky	PROPN
ejpam-5869	285	11	.	.	PUNCT
ejpam-5869	286	1	on	on	ADP
ejpam-5869	286	2	certain	certain	ADJ
ejpam-5869	286	3	class	class	NOUN
ejpam-5869	286	4	of	of	ADP
ejpam-5869	286	5	bazilevič	bazilevič	NOUN
ejpam-5869	286	6	functions	function	NOUN
ejpam-5869	286	7	associated	associate	VERB
ejpam-5869	286	8	with	with	ADP
ejpam-5869	286	9	the	the	DET
ejpam-5869	286	10	lemniscate	lemniscate	NOUN
ejpam-5869	286	11	of	of	ADP
ejpam-5869	286	12	bernoulli	bernoulli	PROPN
ejpam-5869	286	13	.	.	PUNCT
ejpam-5869	287	1	j.	j.	PROPN
ejpam-5869	287	2	funct	funct	PROPN
ejpam-5869	287	3	.	.	PUNCT
ejpam-5869	288	1	spacestrans	spacestrans	PROPN
ejpam-5869	288	2	.	.	PUNCT
ejpam-5869	289	1	amer	amer	PROPN
ejpam-5869	289	2	.	.	PUNCT
ejpam-5869	289	3	math	math	PROPN
ejpam-5869	289	4	.	.	PUNCT
ejpam-5869	290	1	soc	soc	PROPN
ejpam-5869	290	2	.	.	PUNCT
ejpam-5869	290	3	,	,	PUNCT
ejpam-5869	290	4	art	art	NOUN
ejpam-5869	290	5	.	.	PUNCT
ejpam-5869	291	1	i	i	PRON
ejpam-5869	291	2	d	d	PROPN
ejpam-5869	291	3	6622230:1–8	6622230:1–8	PROPN
ejpam-5869	291	4	,	,	PUNCT
ejpam-5869	291	5	2020	2020	NUM
ejpam-5869	291	6	.	.	PUNCT
ejpam-5869	292	1	[	[	X
ejpam-5869	292	2	9	9	NUM
ejpam-5869	292	3	]	]	X
ejpam-5869	292	4	d.j	d.j	PROPN
ejpam-5869	292	5	.	.	PROPN
ejpam-5869	292	6	hallenbeck	hallenbeck	PROPN
ejpam-5869	292	7	and	and	CCONJ
ejpam-5869	292	8	s.	s.	PROPN
ejpam-5869	292	9	ruschewyh	ruschewyh	PROPN
ejpam-5869	292	10	.	.	PUNCT
ejpam-5869	293	1	subordination	subordination	NOUN
ejpam-5869	293	2	by	by	ADP
ejpam-5869	293	3	convex	convex	NOUN
ejpam-5869	293	4	functions	function	NOUN
ejpam-5869	293	5	.	.	PUNCT
ejpam-5869	294	1	proc	proc	NOUN
ejpam-5869	294	2	.	.	PUNCT
ejpam-5869	295	1	amer	amer	PROPN
ejpam-5869	295	2	.	.	PUNCT
ejpam-5869	295	3	math	math	PROPN
ejpam-5869	295	4	.	.	PUNCT
ejpam-5869	296	1	soc	soc	PROPN
ejpam-5869	296	2	.	.	PROPN
ejpam-5869	296	3	,	,	PUNCT
ejpam-5869	297	1	52:191–195	52:191–195	NUM
ejpam-5869	297	2	,	,	PUNCT
ejpam-5869	297	3	1975	1975	NUM
ejpam-5869	297	4	.	.	PUNCT
ejpam-5869	298	1	t.m	t.m	PROPN
ejpam-5869	298	2	.	.	PROPN
ejpam-5869	298	3	seoudy	seoudy	PROPN
ejpam-5869	298	4	,	,	PUNCT
ejpam-5869	298	5	a.e	a.e	PROPN
ejpam-5869	298	6	.	.	PROPN
ejpam-5869	298	7	shammaky	shammaky	PROPN
ejpam-5869	298	8	/	/	SYM
ejpam-5869	298	9	eur	eur	PROPN
ejpam-5869	298	10	.	.	PUNCT
ejpam-5869	299	1	j.	j.	PROPN
ejpam-5869	299	2	pure	pure	PROPN
ejpam-5869	299	3	appl	appl	PROPN
ejpam-5869	299	4	.	.	PROPN
ejpam-5869	299	5	math	math	PROPN
ejpam-5869	299	6	,	,	PUNCT
ejpam-5869	299	7	18	18	NUM
ejpam-5869	299	8	(	(	PUNCT
ejpam-5869	299	9	2	2	NUM
ejpam-5869	299	10	)	)	PUNCT
ejpam-5869	299	11	(	(	PUNCT
ejpam-5869	299	12	2025	2025	NUM
ejpam-5869	299	13	)	)	PUNCT
ejpam-5869	299	14	,	,	PUNCT
ejpam-5869	299	15	5869	5869	NUM
ejpam-5869	299	16	13	13	NUM
ejpam-5869	299	17	of	of	ADP
ejpam-5869	299	18	14	14	NUM
ejpam-5869	299	19	[	[	SYM
ejpam-5869	299	20	10	10	NUM
ejpam-5869	299	21	]	]	X
ejpam-5869	299	22	e.t	e.t	PROPN
ejpam-5869	299	23	.	.	PROPN
ejpam-5869	299	24	whittaker	whittaker	PROPN
ejpam-5869	299	25	and	and	CCONJ
ejpam-5869	299	26	g.n	g.n	PROPN
ejpam-5869	299	27	.	.	PROPN
ejpam-5869	299	28	watson	watson	PROPN
ejpam-5869	299	29	.	.	PUNCT
ejpam-5869	300	1	a	a	DET
ejpam-5869	300	2	course	course	NOUN
ejpam-5869	300	3	of	of	ADP
ejpam-5869	300	4	modern	modern	ADJ
ejpam-5869	300	5	analysis	analysis	NOUN
ejpam-5869	300	6	:	:	PUNCT
ejpam-5869	300	7	an	an	DET
ejpam-5869	300	8	introduction	introduction	NOUN
ejpam-5869	300	9	to	to	ADP
ejpam-5869	300	10	the	the	DET
ejpam-5869	300	11	general	general	ADJ
ejpam-5869	300	12	theory	theory	NOUN
ejpam-5869	300	13	of	of	ADP
ejpam-5869	300	14	infinite	infinite	ADJ
ejpam-5869	300	15	processes	process	NOUN
ejpam-5869	300	16	and	and	CCONJ
ejpam-5869	300	17	of	of	ADP
ejpam-5869	300	18	analytic	analytic	ADJ
ejpam-5869	300	19	functions	function	NOUN
ejpam-5869	300	20	;	;	PUNCT
ejpam-5869	300	21	with	with	ADP
ejpam-5869	300	22	an	an	DET
ejpam-5869	300	23	account	account	NOUN
ejpam-5869	300	24	of	of	ADP
ejpam-5869	300	25	the	the	DET
ejpam-5869	300	26	principal	principal	ADJ
ejpam-5869	300	27	transcendental	transcendental	ADJ
ejpam-5869	300	28	functions	function	NOUN
ejpam-5869	300	29	.	.	PUNCT
ejpam-5869	301	1	cambridge	cambridge	PROPN
ejpam-5869	301	2	university	university	PROPN
ejpam-5869	301	3	press	press	PROPN
ejpam-5869	301	4	,	,	PUNCT
ejpam-5869	301	5	cambridge	cambridge	PROPN
ejpam-5869	301	6	,	,	PUNCT
ejpam-5869	301	7	1927	1927	NUM
ejpam-5869	301	8	.	.	PUNCT
ejpam-5869	302	1	[	[	X
ejpam-5869	302	2	11	11	NUM
ejpam-5869	302	3	]	]	PUNCT
ejpam-5869	302	4	w.	w.	NOUN
ejpam-5869	302	5	rogosinski	rogosinski	PROPN
ejpam-5869	302	6	.	.	PUNCT
ejpam-5869	303	1	on	on	ADP
ejpam-5869	303	2	the	the	DET
ejpam-5869	303	3	coefficients	coefficient	NOUN
ejpam-5869	303	4	of	of	ADP
ejpam-5869	303	5	subordinate	subordinate	ADJ
ejpam-5869	303	6	functions	function	NOUN
ejpam-5869	303	7	.	.	PUNCT
ejpam-5869	304	1	proc	proc	NOUN
ejpam-5869	304	2	.	.	PUNCT
ejpam-5869	305	1	london	london	PROPN
ejpam-5869	305	2	math	math	PROPN
ejpam-5869	305	3	.	.	PUNCT
ejpam-5869	306	1	soc	soc	PROPN
ejpam-5869	306	2	.	.	PUNCT
ejpam-5869	307	1	(	(	PUNCT
ejpam-5869	307	2	ser	ser	NOUN
ejpam-5869	307	3	.	.	PROPN
ejpam-5869	307	4	2	2	NUM
ejpam-5869	307	5	)	)	PUNCT
ejpam-5869	307	6	,	,	PUNCT
ejpam-5869	307	7	48:48–82	48:48–82	NUM
ejpam-5869	307	8	,	,	PUNCT
ejpam-5869	307	9	1943	1943	NUM
ejpam-5869	307	10	.	.	PUNCT
ejpam-5869	308	1	[	[	X
ejpam-5869	308	2	12	12	NUM
ejpam-5869	308	3	]	]	X
ejpam-5869	308	4	w.	w.	PROPN
ejpam-5869	308	5	ma	ma	PROPN
ejpam-5869	308	6	and	and	CCONJ
ejpam-5869	308	7	d.a	d.a	PROPN
ejpam-5869	308	8	.	.	PROPN
ejpam-5869	308	9	minda	minda	PROPN
ejpam-5869	308	10	.	.	PUNCT
ejpam-5869	309	1	unified	unified	ADJ
ejpam-5869	309	2	treatment	treatment	NOUN
ejpam-5869	309	3	of	of	ADP
ejpam-5869	309	4	some	some	DET
ejpam-5869	309	5	special	special	ADJ
ejpam-5869	309	6	classes	class	NOUN
ejpam-5869	309	7	of	of	ADP
ejpam-5869	309	8	univalent	univalent	ADJ
ejpam-5869	309	9	functions	function	NOUN
ejpam-5869	309	10	.	.	PUNCT
ejpam-5869	310	1	in	in	ADP
ejpam-5869	310	2	z.	z.	PROPN
ejpam-5869	310	3	li	li	PROPN
ejpam-5869	310	4	,	,	PUNCT
ejpam-5869	310	5	f.	f.	PROPN
ejpam-5869	310	6	ren	ren	PROPN
ejpam-5869	310	7	,	,	PUNCT
ejpam-5869	310	8	l.	l.	PROPN
ejpam-5869	310	9	yang	yang	PROPN
ejpam-5869	310	10	,	,	PUNCT
ejpam-5869	310	11	and	and	CCONJ
ejpam-5869	310	12	s.	s.	PROPN
ejpam-5869	310	13	zhang	zhang	PROPN
ejpam-5869	310	14	,	,	PUNCT
ejpam-5869	310	15	editors	editor	NOUN
ejpam-5869	310	16	,	,	PUNCT
ejpam-5869	310	17	in	in	ADP
ejpam-5869	310	18	proceedings	proceeding	NOUN
ejpam-5869	310	19	of	of	ADP
ejpam-5869	310	20	the	the	DET
ejpam-5869	310	21	conference	conference	NOUN
ejpam-5869	310	22	on	on	ADP
ejpam-5869	310	23	complex	complex	ADJ
ejpam-5869	310	24	analysis	analysis	NOUN
ejpam-5869	310	25	,	,	PUNCT
ejpam-5869	310	26	tianjin	tianjin	PROPN
ejpam-5869	310	27	,	,	PUNCT
ejpam-5869	310	28	china	china	PROPN
ejpam-5869	310	29	,	,	PUNCT
ejpam-5869	310	30	19–23	19–23	NUM
ejpam-5869	310	31	june	june	PROPN
ejpam-5869	310	32	1992	1992	NUM
ejpam-5869	310	33	.	.	PUNCT
ejpam-5869	310	34	,	,	PUNCT
ejpam-5869	310	35	pages	page	NOUN
ejpam-5869	310	36	157–169	157–169	NUM
ejpam-5869	310	37	,	,	PUNCT
ejpam-5869	310	38	cambridge	cambridge	PROPN
ejpam-5869	310	39	,	,	PUNCT
ejpam-5869	310	40	ma	ma	PROPN
ejpam-5869	310	41	,	,	PUNCT
ejpam-5869	310	42	usa	usa	PROPN
ejpam-5869	310	43	,	,	PUNCT
ejpam-5869	310	44	1994	1994	NUM
ejpam-5869	310	45	.	.	PUNCT
ejpam-5869	311	1	int	int	NOUN
ejpam-5869	311	2	.	.	PUNCT
ejpam-5869	312	1	press	press	NOUN
ejpam-5869	312	2	.	.	PUNCT
ejpam-5869	313	1	[	[	X
ejpam-5869	313	2	13	13	NUM
ejpam-5869	313	3	]	]	X
ejpam-5869	313	4	m.k	m.k	PROPN
ejpam-5869	313	5	.	.	PROPN
ejpam-5869	313	6	aouf	aouf	PROPN
ejpam-5869	313	7	,	,	PUNCT
ejpam-5869	313	8	t.	t.	PROPN
ejpam-5869	313	9	bulboaca	bulboaca	NOUN
ejpam-5869	313	10	,	,	PUNCT
ejpam-5869	313	11	and	and	CCONJ
ejpam-5869	313	12	t.m	t.m	PROPN
ejpam-5869	313	13	.	.	PROPN
ejpam-5869	313	14	seoudy	seoudy	PROPN
ejpam-5869	313	15	.	.	PUNCT
ejpam-5869	314	1	subclasses	subclass	NOUN
ejpam-5869	314	2	of	of	ADP
ejpam-5869	314	3	multivalent	multivalent	ADJ
ejpam-5869	314	4	non	non	ADJ
ejpam-5869	314	5	-	-	ADJ
ejpam-5869	314	6	bazilevic	bazilevic	ADJ
ejpam-5869	314	7	functions	function	NOUN
ejpam-5869	314	8	defined	define	VERB
ejpam-5869	314	9	with	with	ADP
ejpam-5869	314	10	higher	high	ADJ
ejpam-5869	314	11	order	order	NOUN
ejpam-5869	314	12	derivatives	derivative	NOUN
ejpam-5869	314	13	.	.	PUNCT
ejpam-5869	315	1	bull	bull	NOUN
ejpam-5869	315	2	.	.	PUNCT
ejpam-5869	316	1	transilvania	transilvania	PROPN
ejpam-5869	316	2	university	university	PROPN
ejpam-5869	316	3	of	of	ADP
ejpam-5869	316	4	brasov	brasov	PROPN
ejpam-5869	316	5	,	,	PUNCT
ejpam-5869	316	6	series	series	PROPN
ejpam-5869	316	7	iii	iii	PROPN
ejpam-5869	316	8	,	,	PUNCT
ejpam-5869	316	9	13:411–422	13:411–422	NUM
ejpam-5869	316	10	,	,	PUNCT
ejpam-5869	316	11	2020	2020	NUM
ejpam-5869	316	12	.	.	PUNCT
ejpam-5869	317	1	[	[	X
ejpam-5869	317	2	14	14	NUM
ejpam-5869	317	3	]	]	X
ejpam-5869	317	4	m.k	m.k	PROPN
ejpam-5869	317	5	.	.	PROPN
ejpam-5869	317	6	aouf	aouf	PROPN
ejpam-5869	317	7	and	and	CCONJ
ejpam-5869	317	8	t.m	t.m	PROPN
ejpam-5869	317	9	.	.	PROPN
ejpam-5869	317	10	seoudy	seoudy	PROPN
ejpam-5869	317	11	.	.	PUNCT
ejpam-5869	318	1	some	some	DET
ejpam-5869	318	2	properties	property	NOUN
ejpam-5869	318	3	of	of	ADP
ejpam-5869	318	4	a	a	DET
ejpam-5869	318	5	certain	certain	ADJ
ejpam-5869	318	6	subclass	subclass	NOUN
ejpam-5869	318	7	of	of	ADP
ejpam-5869	318	8	multivalent	multivalent	NOUN
ejpam-5869	318	9	analytic	analytic	ADJ
ejpam-5869	318	10	functions	function	NOUN
ejpam-5869	318	11	involving	involve	VERB
ejpam-5869	318	12	the	the	DET
ejpam-5869	318	13	liu	liu	PROPN
ejpam-5869	318	14	–	–	PUNCT
ejpam-5869	318	15	owa	owa	ADJ
ejpam-5869	318	16	operator	operator	NOUN
ejpam-5869	318	17	.	.	PUNCT
ejpam-5869	319	1	comput	comput	NOUN
ejpam-5869	319	2	.	.	PUNCT
ejpam-5869	320	1	math	math	NOUN
ejpam-5869	320	2	.	.	PUNCT
ejpam-5869	321	1	appl	appl	PROPN
ejpam-5869	321	2	.	.	PROPN
ejpam-5869	321	3	,	,	PUNCT
ejpam-5869	321	4	60:1525	60:1525	NUM
ejpam-5869	321	5	–	–	PUNCT
ejpam-5869	321	6	1535	1535	NUM
ejpam-5869	321	7	,	,	PUNCT
ejpam-5869	321	8	2010	2010	NUM
ejpam-5869	321	9	.	.	PUNCT
ejpam-5869	322	1	[	[	X
ejpam-5869	322	2	15	15	NUM
ejpam-5869	322	3	]	]	X
ejpam-5869	322	4	m.k	m.k	PROPN
ejpam-5869	322	5	.	.	PROPN
ejpam-5869	322	6	aouf	aouf	PROPN
ejpam-5869	322	7	and	and	CCONJ
ejpam-5869	322	8	t.m	t.m	PROPN
ejpam-5869	322	9	.	.	PROPN
ejpam-5869	322	10	seoudy	seoudy	PROPN
ejpam-5869	322	11	.	.	PUNCT
ejpam-5869	323	1	on	on	ADP
ejpam-5869	323	2	certain	certain	ADJ
ejpam-5869	323	3	class	class	NOUN
ejpam-5869	323	4	of	of	ADP
ejpam-5869	323	5	multivalent	multivalent	NOUN
ejpam-5869	323	6	analytic	analytic	ADJ
ejpam-5869	323	7	functions	function	NOUN
ejpam-5869	323	8	defined	define	VERB
ejpam-5869	323	9	by	by	ADP
ejpam-5869	323	10	differential	differential	ADJ
ejpam-5869	323	11	subordination	subordination	NOUN
ejpam-5869	323	12	.	.	PUNCT
ejpam-5869	324	1	rend	rend	VERB
ejpam-5869	324	2	.	.	PUNCT
ejpam-5869	325	1	circ	circ	PROPN
ejpam-5869	325	2	.	.	PUNCT
ejpam-5869	326	1	mat	mat	NOUN
ejpam-5869	326	2	.	.	PUNCT
ejpam-5869	326	3	palermo	palermo	NOUN
ejpam-5869	326	4	,	,	PUNCT
ejpam-5869	326	5	60:191–201	60:191–201	PROPN
ejpam-5869	326	6	,	,	PUNCT
ejpam-5869	326	7	2011	2011	NUM
ejpam-5869	326	8	.	.	PUNCT
ejpam-5869	327	1	[	[	X
ejpam-5869	327	2	16	16	NUM
ejpam-5869	327	3	]	]	X
ejpam-5869	327	4	m.k	m.k	PROPN
ejpam-5869	327	5	.	.	PROPN
ejpam-5869	327	6	aouf	aouf	PROPN
ejpam-5869	327	7	and	and	CCONJ
ejpam-5869	327	8	t.m	t.m	PROPN
ejpam-5869	327	9	.	.	PROPN
ejpam-5869	327	10	seoudy	seoudy	PROPN
ejpam-5869	327	11	.	.	PUNCT
ejpam-5869	328	1	on	on	ADP
ejpam-5869	328	2	certain	certain	ADJ
ejpam-5869	328	3	subclass	subclass	NOUN
ejpam-5869	328	4	of	of	ADP
ejpam-5869	328	5	multivalent	multivalent	NOUN
ejpam-5869	328	6	functions	function	NOUN
ejpam-5869	328	7	defined	define	VERB
ejpam-5869	328	8	by	by	ADP
ejpam-5869	328	9	the	the	DET
ejpam-5869	328	10	liu	liu	PROPN
ejpam-5869	328	11	–	–	PUNCT
ejpam-5869	328	12	owa	owa	ADJ
ejpam-5869	328	13	operator	operator	NOUN
ejpam-5869	328	14	.	.	PUNCT
ejpam-5869	329	1	bull	bull	NOUN
ejpam-5869	329	2	.	.	PUNCT
ejpam-5869	330	1	belg	belg	PROPN
ejpam-5869	330	2	.	.	PUNCT
ejpam-5869	331	1	math	math	NOUN
ejpam-5869	331	2	.	.	PUNCT
ejpam-5869	332	1	soc	soc	PROPN
ejpam-5869	332	2	.	.	PUNCT
ejpam-5869	333	1	simon	simon	PROPN
ejpam-5869	333	2	stevin	stevin	PROPN
ejpam-5869	333	3	,	,	PUNCT
ejpam-5869	333	4	18:941–955	18:941–955	PROPN
ejpam-5869	333	5	,	,	PUNCT
ejpam-5869	333	6	2011	2011	NUM
ejpam-5869	333	7	.	.	PUNCT
ejpam-5869	334	1	[	[	X
ejpam-5869	334	2	17	17	NUM
ejpam-5869	334	3	]	]	X
ejpam-5869	334	4	m.k	m.k	PROPN
ejpam-5869	334	5	.	.	PROPN
ejpam-5869	334	6	aouf	aouf	PROPN
ejpam-5869	334	7	and	and	CCONJ
ejpam-5869	334	8	t.m	t.m	PROPN
ejpam-5869	334	9	.	.	PROPN
ejpam-5869	334	10	seoudy	seoudy	PROPN
ejpam-5869	334	11	.	.	PUNCT
ejpam-5869	335	1	some	some	DET
ejpam-5869	335	2	properties	property	NOUN
ejpam-5869	335	3	of	of	ADP
ejpam-5869	335	4	certain	certain	ADJ
ejpam-5869	335	5	subclasses	subclass	NOUN
ejpam-5869	335	6	of	of	ADP
ejpam-5869	335	7	p	p	NOUN
ejpam-5869	335	8	-	-	PUNCT
ejpam-5869	335	9	valent	valent	NOUN
ejpam-5869	335	10	bazilevic	bazilevic	NOUN
ejpam-5869	335	11	functions	function	NOUN
ejpam-5869	335	12	associated	associate	VERB
ejpam-5869	335	13	with	with	ADP
ejpam-5869	335	14	the	the	DET
ejpam-5869	335	15	generalized	generalized	ADJ
ejpam-5869	335	16	operator	operator	NOUN
ejpam-5869	335	17	.	.	PUNCT
ejpam-5869	336	1	appl	appl	PROPN
ejpam-5869	336	2	.	.	PROPN
ejpam-5869	336	3	math	math	PROPN
ejpam-5869	336	4	.	.	PUNCT
ejpam-5869	337	1	lett	lett	PROPN
ejpam-5869	337	2	.	.	PROPN
ejpam-5869	337	3	,	,	PUNCT
ejpam-5869	337	4	24:1953	24:1953	NUM
ejpam-5869	337	5	–	–	PUNCT
ejpam-5869	337	6	1958	1958	NUM
ejpam-5869	337	7	,	,	PUNCT
ejpam-5869	337	8	2011	2011	NUM
ejpam-5869	337	9	.	.	PUNCT
ejpam-5869	338	1	[	[	X
ejpam-5869	338	2	18	18	NUM
ejpam-5869	338	3	]	]	X
ejpam-5869	338	4	m.k	m.k	PROPN
ejpam-5869	338	5	.	.	PROPN
ejpam-5869	338	6	aouf	aouf	PROPN
ejpam-5869	338	7	and	and	CCONJ
ejpam-5869	338	8	t.m	t.m	PROPN
ejpam-5869	338	9	.	.	PROPN
ejpam-5869	338	10	seoudy	seoudy	PROPN
ejpam-5869	338	11	.	.	PUNCT
ejpam-5869	339	1	certain	certain	ADJ
ejpam-5869	339	2	class	class	NOUN
ejpam-5869	339	3	of	of	ADP
ejpam-5869	339	4	bi	bi	ADJ
ejpam-5869	339	5	–	–	PUNCT
ejpam-5869	339	6	bazilevic	bazilevic	ADJ
ejpam-5869	339	7	functions	function	NOUN
ejpam-5869	339	8	with	with	ADP
ejpam-5869	339	9	bounded	bounded	ADJ
ejpam-5869	339	10	boundary	boundary	ADJ
ejpam-5869	339	11	rotation	rotation	NOUN
ejpam-5869	339	12	involving	involve	VERB
ejpam-5869	339	13	salagean	salagean	ADJ
ejpam-5869	339	14	operator	operator	NOUN
ejpam-5869	339	15	.	.	PUNCT
ejpam-5869	340	1	constructive	constructive	ADJ
ejpam-5869	340	2	math	math	NOUN
ejpam-5869	340	3	.	.	PUNCT
ejpam-5869	341	1	anal	anal	PROPN
ejpam-5869	341	2	.	.	PROPN
ejpam-5869	341	3	,	,	PUNCT
ejpam-5869	341	4	3:139–149	3:139–149	NUM
ejpam-5869	341	5	,	,	PUNCT
ejpam-5869	341	6	2020	2020	NUM
ejpam-5869	341	7	.	.	PUNCT
ejpam-5869	342	1	[	[	X
ejpam-5869	342	2	19	19	NUM
ejpam-5869	342	3	]	]	X
ejpam-5869	342	4	n.l	n.l	PROPN
ejpam-5869	342	5	.	.	PROPN
ejpam-5869	342	6	sharma	sharma	PROPN
ejpam-5869	342	7	and	and	CCONJ
ejpam-5869	342	8	t.	t.	NOUN
ejpam-5869	342	9	bulboacă.	bulboacă.	PROPN
ejpam-5869	342	10	logarithmic	logarithmic	ADJ
ejpam-5869	342	11	coefficient	coefficient	NOUN
ejpam-5869	342	12	bounds	bound	VERB
ejpam-5869	342	13	for	for	ADP
ejpam-5869	342	14	the	the	DET
ejpam-5869	342	15	class	class	NOUN
ejpam-5869	342	16	of	of	ADP
ejpam-5869	342	17	bazilevič	bazilevič	NOUN
ejpam-5869	342	18	functions	function	NOUN
ejpam-5869	342	19	.	.	PUNCT
ejpam-5869	343	1	anal.math.phys	anal.math.phy	NOUN
ejpam-5869	343	2	.	.	PUNCT
ejpam-5869	343	3	,	,	PUNCT
ejpam-5869	343	4	14:52	14:52	NUM
ejpam-5869	343	5	,	,	PUNCT
ejpam-5869	343	6	2024	2024	NUM
ejpam-5869	343	7	.	.	PUNCT
ejpam-5869	344	1	[	[	X
ejpam-5869	344	2	20	20	NUM
ejpam-5869	344	3	]	]	PUNCT
ejpam-5869	344	4	p.	p.	PROPN
ejpam-5869	344	5	sharma	sharma	PROPN
ejpam-5869	344	6	,	,	PUNCT
ejpam-5869	344	7	s.	s.	PROPN
ejpam-5869	344	8	sivasubramanian	sivasubramanian	PROPN
ejpam-5869	344	9	,	,	PUNCT
ejpam-5869	344	10	and	and	CCONJ
ejpam-5869	344	11	n.e	n.e	PROPN
ejpam-5869	344	12	.	.	PUNCT
ejpam-5869	344	13	cho	cho	PROPN
ejpam-5869	344	14	.	.	PUNCT
ejpam-5869	345	1	initial	initial	ADJ
ejpam-5869	345	2	coefficient	coefficient	NOUN
ejpam-5869	345	3	bounds	bound	NOUN
ejpam-5869	345	4	for	for	ADP
ejpam-5869	345	5	certain	certain	ADJ
ejpam-5869	345	6	new	new	ADJ
ejpam-5869	345	7	subclasses	subclass	NOUN
ejpam-5869	345	8	of	of	ADP
ejpam-5869	345	9	bi	bi	ADJ
ejpam-5869	345	10	-	-	ADJ
ejpam-5869	345	11	bazilevič	bazilevič	NOUN
ejpam-5869	345	12	functions	function	NOUN
ejpam-5869	345	13	and	and	CCONJ
ejpam-5869	345	14	exponentially	exponentially	ADV
ejpam-5869	345	15	bi	bi	ADJ
ejpam-5869	345	16	-	-	ADJ
ejpam-5869	345	17	convex	convex	ADJ
ejpam-5869	345	18	functions	function	NOUN
ejpam-5869	345	19	with	with	ADP
ejpam-5869	345	20	bounded	bounded	ADJ
ejpam-5869	345	21	boundary	boundary	ADJ
ejpam-5869	345	22	rotation	rotation	NOUN
ejpam-5869	345	23	.	.	PUNCT
ejpam-5869	346	1	axioms	axiom	NOUN
ejpam-5869	346	2	,	,	PUNCT
ejpam-5869	346	3	13:25	13:25	NUM
ejpam-5869	346	4	,	,	PUNCT
ejpam-5869	346	5	2024	2024	NUM
ejpam-5869	346	6	.	.	PUNCT
ejpam-5869	347	1	[	[	X
ejpam-5869	347	2	21	21	NUM
ejpam-5869	347	3	]	]	X
ejpam-5869	347	4	h.m	h.m	PROPN
ejpam-5869	347	5	.	.	PROPN
ejpam-5869	347	6	srivastava	srivastava	PROPN
ejpam-5869	347	7	,	,	PUNCT
ejpam-5869	347	8	s.	s.	PROPN
ejpam-5869	347	9	khan	khan	PROPN
ejpam-5869	347	10	,	,	PUNCT
ejpam-5869	347	11	s.n	s.n	PROPN
ejpam-5869	347	12	.	.	PROPN
ejpam-5869	347	13	malik	malik	PROPN
ejpam-5869	347	14	,	,	PUNCT
ejpam-5869	347	15	f.	f.	PROPN
ejpam-5869	347	16	tchier	tchier	PROPN
ejpam-5869	347	17	,	,	PUNCT
ejpam-5869	347	18	a.	a.	NOUN
ejpam-5869	347	19	saliu	saliu	PROPN
ejpam-5869	347	20	,	,	PUNCT
ejpam-5869	347	21	and	and	CCONJ
ejpam-5869	347	22	q.	q.	PROPN
ejpam-5869	347	23	xin	xin	PROPN
ejpam-5869	347	24	.	.	PUNCT
ejpam-5869	348	1	faber	faber	PROPN
ejpam-5869	348	2	polynomial	polynomial	PROPN
ejpam-5869	348	3	coefficient	coefficient	NOUN
ejpam-5869	348	4	inequalities	inequality	NOUN
ejpam-5869	348	5	for	for	ADP
ejpam-5869	348	6	bi	bi	ADJ
ejpam-5869	348	7	-	-	ADJ
ejpam-5869	348	8	bazilevič	bazilevič	NOUN
ejpam-5869	348	9	functions	function	NOUN
ejpam-5869	348	10	associated	associate	VERB
ejpam-5869	348	11	with	with	ADP
ejpam-5869	348	12	the	the	DET
ejpam-5869	348	13	fibonaccinumber	fibonaccinumber	PROPN
ejpam-5869	348	14	series	series	NOUN
ejpam-5869	348	15	and	and	CCONJ
ejpam-5869	348	16	the	the	DET
ejpam-5869	348	17	square	square	ADJ
ejpam-5869	348	18	-	-	PUNCT
ejpam-5869	348	19	root	root	NOUN
ejpam-5869	348	20	functions	function	NOUN
ejpam-5869	348	21	.	.	PUNCT
ejpam-5869	349	1	j.	j.	PROPN
ejpam-5869	349	2	inequal	inequal	PROPN
ejpam-5869	349	3	.	.	PUNCT
ejpam-5869	350	1	appl	appl	PROPN
ejpam-5869	350	2	.	.	PROPN
ejpam-5869	350	3	,	,	PUNCT
ejpam-5869	350	4	2024:16	2024:16	NUM
ejpam-5869	350	5	,	,	PUNCT
ejpam-5869	350	6	2024	2024	NUM
ejpam-5869	350	7	.	.	PUNCT
ejpam-5869	351	1	[	[	X
ejpam-5869	351	2	22	22	NUM
ejpam-5869	351	3	]	]	X
ejpam-5869	351	4	a.k	a.k	PROPN
ejpam-5869	351	5	.	.	PROPN
ejpam-5869	351	6	wanas	wanas	PROPN
ejpam-5869	351	7	,	,	PUNCT
ejpam-5869	351	8	s.a	s.a	PROPN
ejpam-5869	351	9	.	.	PROPN
ejpam-5869	351	10	sehen	sehen	NOUN
ejpam-5869	351	11	,	,	PUNCT
ejpam-5869	351	12	and	and	CCONJ
ejpam-5869	351	13	a.o	a.o	PROPN
ejpam-5869	351	14	.	.	PROPN
ejpam-5869	351	15	pall	pall	PROPN
ejpam-5869	351	16	-	-	PUNCT
ejpam-5869	351	17	szabo	szabo	PROPN
ejpam-5869	351	18	.	.	PUNCT
ejpam-5869	352	1	toeplitz	toeplitz	NOUN
ejpam-5869	352	2	matrices	matrix	NOUN
ejpam-5869	352	3	for	for	ADP
ejpam-5869	352	4	a	a	DET
ejpam-5869	352	5	class	class	NOUN
ejpam-5869	352	6	of	of	ADP
ejpam-5869	352	7	bazilevic	bazilevic	ADJ
ejpam-5869	352	8	functions	function	NOUN
ejpam-5869	352	9	and	and	CCONJ
ejpam-5869	352	10	the	the	DET
ejpam-5869	352	11	λ	λ	PROPN
ejpam-5869	352	12	-pseudo	-pseudo	NOUN
ejpam-5869	352	13	-	-	PUNCT
ejpam-5869	352	14	starlike	starlike	NOUN
ejpam-5869	352	15	functions	function	NOUN
ejpam-5869	352	16	.	.	PUNCT
ejpam-5869	353	1	axioms	axiom	NOUN
ejpam-5869	353	2	,	,	PUNCT
ejpam-5869	353	3	13:521	13:521	NUM
ejpam-5869	353	4	,	,	PUNCT
ejpam-5869	353	5	2024	2024	NUM
ejpam-5869	353	6	.	.	PUNCT
ejpam-5869	354	1	[	[	X
ejpam-5869	354	2	23	23	NUM
ejpam-5869	354	3	]	]	X
ejpam-5869	354	4	s.d	s.d	PROPN
ejpam-5869	354	5	.	.	PUNCT
ejpam-5869	354	6	bernardi	bernardi	PROPN
ejpam-5869	354	7	.	.	PUNCT
ejpam-5869	355	1	convex	convex	PROPN
ejpam-5869	355	2	and	and	CCONJ
ejpam-5869	355	3	starlike	starlike	NOUN
ejpam-5869	355	4	univalent	univalent	ADJ
ejpam-5869	355	5	functions	function	NOUN
ejpam-5869	355	6	.	.	PUNCT
ejpam-5869	356	1	trans	trans	PROPN
ejpam-5869	356	2	.	.	PUNCT
ejpam-5869	357	1	amer	amer	PROPN
ejpam-5869	357	2	.	.	PUNCT
ejpam-5869	357	3	math	math	PROPN
ejpam-5869	357	4	.	.	PUNCT
ejpam-5869	358	1	soc	soc	PROPN
ejpam-5869	358	2	.	.	PUNCT
ejpam-5869	358	3	,	,	PUNCT
ejpam-5869	358	4	135:429–446	135:429–446	NUM
ejpam-5869	358	5	,	,	PUNCT
ejpam-5869	358	6	1969	1969	NUM
ejpam-5869	358	7	.	.	PUNCT
ejpam-5869	359	1	[	[	X
ejpam-5869	359	2	24	24	NUM
ejpam-5869	359	3	]	]	X
ejpam-5869	359	4	j.h	j.h	PROPN
ejpam-5869	359	5	.	.	PROPN
ejpam-5869	359	6	choi	choi	PROPN
ejpam-5869	359	7	,	,	PUNCT
ejpam-5869	359	8	m.	m.	NOUN
ejpam-5869	359	9	saigo	saigo	PROPN
ejpam-5869	359	10	,	,	PUNCT
ejpam-5869	359	11	and	and	CCONJ
ejpam-5869	359	12	h.m	h.m	PROPN
ejpam-5869	359	13	.	.	PROPN
ejpam-5869	359	14	srivastava	srivastava	PROPN
ejpam-5869	359	15	.	.	PUNCT
ejpam-5869	360	1	some	some	DET
ejpam-5869	360	2	inclusion	inclusion	NOUN
ejpam-5869	360	3	properties	property	NOUN
ejpam-5869	360	4	of	of	ADP
ejpam-5869	360	5	a	a	DET
ejpam-5869	360	6	certain	certain	ADJ
ejpam-5869	360	7	family	family	NOUN
ejpam-5869	360	8	of	of	ADP
ejpam-5869	360	9	integral	integral	ADJ
ejpam-5869	360	10	operators	operator	NOUN
ejpam-5869	360	11	.	.	PUNCT
ejpam-5869	361	1	j.	j.	PROPN
ejpam-5869	361	2	math	math	PROPN
ejpam-5869	361	3	.	.	PUNCT
ejpam-5869	362	1	anal	anal	PROPN
ejpam-5869	362	2	.	.	PUNCT
ejpam-5869	363	1	appl	appl	PROPN
ejpam-5869	363	2	.	.	PROPN
ejpam-5869	363	3	,	,	PUNCT
ejpam-5869	363	4	276:432–445	276:432–445	NUM
ejpam-5869	363	5	,	,	PUNCT
ejpam-5869	363	6	2002	2002	NUM
ejpam-5869	363	7	.	.	PUNCT
ejpam-5869	364	1	[	[	X
ejpam-5869	364	2	25	25	NUM
ejpam-5869	364	3	]	]	X
ejpam-5869	364	4	r.j	r.j	PROPN
ejpam-5869	364	5	.	.	PROPN
ejpam-5869	364	6	libera	libera	PROPN
ejpam-5869	364	7	.	.	PUNCT
ejpam-5869	365	1	some	some	DET
ejpam-5869	365	2	radius	radius	NOUN
ejpam-5869	365	3	of	of	ADP
ejpam-5869	365	4	convexity	convexity	NOUN
ejpam-5869	365	5	problems	problem	NOUN
ejpam-5869	365	6	.	.	PUNCT
ejpam-5869	366	1	duke	duke	PROPN
ejpam-5869	366	2	math	math	PROPN
ejpam-5869	366	3	.	.	PUNCT
ejpam-5869	367	1	j.	j.	PROPN
ejpam-5869	367	2	,	,	PUNCT
ejpam-5869	367	3	31:143–158	31:143–158	PROPN
ejpam-5869	367	4	,	,	PUNCT
ejpam-5869	367	5	1964	1964	NUM
ejpam-5869	367	6	.	.	PUNCT
ejpam-5869	368	1	[	[	X
ejpam-5869	368	2	26	26	NUM
ejpam-5869	368	3	]	]	X
ejpam-5869	368	4	h.	h.	PROPN
ejpam-5869	368	5	saitoh	saitoh	PROPN
ejpam-5869	368	6	.	.	PUNCT
ejpam-5869	369	1	on	on	ADP
ejpam-5869	369	2	certain	certain	ADJ
ejpam-5869	369	3	class	class	NOUN
ejpam-5869	369	4	of	of	ADP
ejpam-5869	369	5	mulivalent	mulivalent	ADJ
ejpam-5869	369	6	functions	function	NOUN
ejpam-5869	369	7	.	.	PUNCT
ejpam-5869	370	1	math	math	NOUN
ejpam-5869	370	2	.	.	PUNCT
ejpam-5869	371	1	japon	japon	PROPN
ejpam-5869	371	2	,	,	PUNCT
ejpam-5869	371	3	37:871–875	37:871–875	NUM
ejpam-5869	371	4	,	,	PUNCT
ejpam-5869	371	5	1992	1992	NUM
ejpam-5869	371	6	.	.	PUNCT
ejpam-5869	372	1	[	[	X
ejpam-5869	372	2	27	27	NUM
ejpam-5869	372	3	]	]	X
ejpam-5869	372	4	v.	v.	CCONJ
ejpam-5869	372	5	ravichandran	ravichandran	NOUN
ejpam-5869	372	6	,	,	PUNCT
ejpam-5869	372	7	a.	a.	NOUN
ejpam-5869	372	8	gangadharan	gangadharan	NOUN
ejpam-5869	372	9	,	,	PUNCT
ejpam-5869	372	10	and	and	CCONJ
ejpam-5869	372	11	m.	m.	NOUN
ejpam-5869	372	12	darus	darus	NOUN
ejpam-5869	372	13	.	.	PUNCT
ejpam-5869	373	1	fekete	fekete	PROPN
ejpam-5869	373	2	–	–	PUNCT
ejpam-5869	373	3	szegö	szegö	VERB
ejpam-5869	373	4	inequality	inequality	NOUN
ejpam-5869	373	5	for	for	ADP
ejpam-5869	373	6	certain	certain	ADJ
ejpam-5869	373	7	t.m	t.m	PROPN
ejpam-5869	373	8	.	.	PROPN
ejpam-5869	373	9	seoudy	seoudy	PROPN
ejpam-5869	373	10	,	,	PUNCT
ejpam-5869	373	11	a.e	a.e	PROPN
ejpam-5869	373	12	.	.	PROPN
ejpam-5869	373	13	shammaky	shammaky	PROPN
ejpam-5869	373	14	/	/	SYM
ejpam-5869	373	15	eur	eur	PROPN
ejpam-5869	373	16	.	.	PUNCT
ejpam-5869	374	1	j.	j.	PROPN
ejpam-5869	374	2	pure	pure	PROPN
ejpam-5869	374	3	appl	appl	PROPN
ejpam-5869	374	4	.	.	PROPN
ejpam-5869	374	5	math	math	PROPN
ejpam-5869	374	6	,	,	PUNCT
ejpam-5869	374	7	18	18	NUM
ejpam-5869	374	8	(	(	PUNCT
ejpam-5869	374	9	2	2	NUM
ejpam-5869	374	10	)	)	PUNCT
ejpam-5869	374	11	(	(	PUNCT
ejpam-5869	374	12	2025	2025	NUM
ejpam-5869	374	13	)	)	PUNCT
ejpam-5869	374	14	,	,	PUNCT
ejpam-5869	374	15	5869	5869	NUM
ejpam-5869	374	16	14	14	NUM
ejpam-5869	374	17	of	of	ADP
ejpam-5869	374	18	14	14	NUM
ejpam-5869	374	19	class	class	NOUN
ejpam-5869	374	20	of	of	ADP
ejpam-5869	374	21	bazilevic	bazilevic	ADJ
ejpam-5869	374	22	functions	function	NOUN
ejpam-5869	374	23	.	.	PUNCT
ejpam-5869	375	1	far	far	ADV
ejpam-5869	375	2	east	east	PROPN
ejpam-5869	375	3	j.	j.	PROPN
ejpam-5869	375	4	math	math	PROPN
ejpam-5869	375	5	.	.	PUNCT
ejpam-5869	376	1	sci	sci	PROPN
ejpam-5869	376	2	.	.	PROPN
ejpam-5869	376	3	,	,	PUNCT
ejpam-5869	376	4	15:171–180	15:171–180	NUM
ejpam-5869	376	5	,	,	PUNCT
ejpam-5869	376	6	2004	2004	NUM
ejpam-5869	376	7	.	.	PUNCT
ejpam-5869	377	1	[	[	X
ejpam-5869	377	2	28	28	NUM
ejpam-5869	377	3	]	]	X
ejpam-5869	377	4	m.	m.	NOUN
ejpam-5869	377	5	raza	raza	PROPN
ejpam-5869	377	6	and	and	CCONJ
ejpam-5869	377	7	s.n	s.n	PROPN
ejpam-5869	377	8	.	.	PROPN
ejpam-5869	377	9	malik	malik	PROPN
ejpam-5869	377	10	.	.	PUNCT
ejpam-5869	378	1	upper	upper	ADJ
ejpam-5869	378	2	bound	bind	VERB
ejpam-5869	378	3	of	of	ADP
ejpam-5869	378	4	third	third	ADJ
ejpam-5869	378	5	hankel	hankel	NOUN
ejpam-5869	378	6	determinant	determinant	ADJ
ejpam-5869	378	7	for	for	ADP
ejpam-5869	378	8	a	a	DET
ejpam-5869	378	9	class	class	NOUN
ejpam-5869	378	10	of	of	ADP
ejpam-5869	378	11	analytic	analytic	ADJ
ejpam-5869	378	12	functions	function	NOUN
ejpam-5869	378	13	related	relate	VERB
ejpam-5869	378	14	with	with	ADP
ejpam-5869	378	15	lemniscate	lemniscate	PROPN
ejpam-5869	378	16	of	of	ADP
ejpam-5869	378	17	bernoulli	bernoulli	PROPN
ejpam-5869	378	18	.	.	PUNCT
ejpam-5869	379	1	j.	j.	PROPN
ejpam-5869	379	2	inequal	inequal	PROPN
ejpam-5869	379	3	.	.	PUNCT
ejpam-5869	380	1	appl	appl	PROPN
ejpam-5869	380	2	.	.	PROPN
ejpam-5869	380	3	,	,	PUNCT
ejpam-5869	380	4	412:1–8	412:1–8	PROPN
ejpam-5869	380	5	,	,	PUNCT
ejpam-5869	380	6	2013	2013	NUM
ejpam-5869	380	7	.	.	PUNCT
ejpam-5869	381	1	[	[	X
ejpam-5869	381	2	29	29	NUM
ejpam-5869	381	3	]	]	X
ejpam-5869	381	4	t.m	t.m	PROPN
ejpam-5869	381	5	.	.	PROPN
ejpam-5869	381	6	seoudy	seoudy	PROPN
ejpam-5869	381	7	.	.	PUNCT
ejpam-5869	382	1	convolution	convolution	NOUN
ejpam-5869	382	2	results	result	NOUN
ejpam-5869	382	3	and	and	CCONJ
ejpam-5869	382	4	fekete	fekete	NOUN
ejpam-5869	382	5	-	-	PUNCT
ejpam-5869	382	6	szegö	szegö	ADJ
ejpam-5869	382	7	inequalities	inequality	NOUN
ejpam-5869	382	8	for	for	ADP
ejpam-5869	382	9	certain	certain	ADJ
ejpam-5869	382	10	classes	class	NOUN
ejpam-5869	382	11	of	of	ADP
ejpam-5869	382	12	symmetric	symmetric	ADJ
ejpam-5869	382	13	q−starlike	q−starlike	NOUN
ejpam-5869	382	14	and	and	CCONJ
ejpam-5869	382	15	symmetric	symmetric	ADJ
ejpam-5869	382	16	q−	q−	PROPN
ejpam-5869	382	17	convex	convex	NOUN
ejpam-5869	382	18	functions	function	NOUN
ejpam-5869	382	19	.	.	PUNCT
ejpam-5869	383	1	j.	j.	PROPN
ejpam-5869	383	2	math	math	PROPN
ejpam-5869	383	3	.	.	PUNCT
ejpam-5869	383	4	,	,	PUNCT
ejpam-5869	383	5	art	art	NOUN
ejpam-5869	383	6	.	.	PUNCT
ejpam-5869	384	1	i	i	PRON
ejpam-5869	384	2	d	d	PROPN
ejpam-5869	384	3	8203921:1–11	8203921:1–11	NUM
ejpam-5869	384	4	,	,	PUNCT
ejpam-5869	384	5	2022	2022	NUM
ejpam-5869	384	6	.	.	PUNCT
ejpam-5869	385	1	[	[	X
ejpam-5869	385	2	30	30	NUM
ejpam-5869	385	3	]	]	X
ejpam-5869	385	4	t.m	t.m	PROPN
ejpam-5869	385	5	.	.	PROPN
ejpam-5869	385	6	seoudy	seoudy	PROPN
ejpam-5869	385	7	.	.	PUNCT
ejpam-5869	386	1	some	some	DET
ejpam-5869	386	2	properties	property	NOUN
ejpam-5869	386	3	for	for	ADP
ejpam-5869	386	4	certain	certain	ADJ
ejpam-5869	386	5	subclasses	subclass	NOUN
ejpam-5869	386	6	of	of	ADP
ejpam-5869	386	7	spiral	spiral	ADJ
ejpam-5869	386	8	-	-	PUNCT
ejpam-5869	386	9	like	like	NOUN
ejpam-5869	386	10	and	and	CCONJ
ejpam-5869	386	11	robertson	robertson	PROPN
ejpam-5869	386	12	analytic	analytic	ADJ
ejpam-5869	386	13	functions	function	NOUN
ejpam-5869	386	14	.	.	PUNCT
ejpam-5869	387	1	eur	eur	PROPN
ejpam-5869	387	2	.	.	PUNCT
ejpam-5869	388	1	j.	j.	PROPN
ejpam-5869	388	2	pure	pure	PROPN
ejpam-5869	388	3	appl	appl	PROPN
ejpam-5869	388	4	.	.	PUNCT
ejpam-5869	388	5	math	math	PROPN
ejpam-5869	388	6	.	.	PUNCT
ejpam-5869	388	7	,	,	PUNCT
ejpam-5869	388	8	17:3336–3355	17:3336–3355	NUM
ejpam-5869	388	9	,	,	PUNCT
ejpam-5869	388	10	2024	2024	NUM
ejpam-5869	388	11	.	.	PUNCT
ejpam-5869	389	1	[	[	X
ejpam-5869	389	2	31	31	NUM
ejpam-5869	389	3	]	]	X
ejpam-5869	389	4	t.m	t.m	PROPN
ejpam-5869	389	5	.	.	PROPN
ejpam-5869	389	6	seoudy	seoudy	PROPN
ejpam-5869	389	7	and	and	CCONJ
ejpam-5869	389	8	m.k	m.k	PROPN
ejpam-5869	389	9	.	.	PROPN
ejpam-5869	389	10	aouf	aouf	PROPN
ejpam-5869	389	11	.	.	PUNCT
ejpam-5869	390	1	coefficient	coefficient	NOUN
ejpam-5869	390	2	estimates	estimate	NOUN
ejpam-5869	390	3	of	of	ADP
ejpam-5869	390	4	new	new	ADJ
ejpam-5869	390	5	classes	class	NOUN
ejpam-5869	390	6	of	of	ADP
ejpam-5869	390	7	q−starlike	q−starlike	NOUN
ejpam-5869	390	8	and	and	CCONJ
ejpam-5869	390	9	q−convex	q−convex	NOUN
ejpam-5869	390	10	functions	function	NOUN
ejpam-5869	390	11	of	of	ADP
ejpam-5869	390	12	complex	complex	ADJ
ejpam-5869	390	13	order	order	NOUN
ejpam-5869	390	14	.	.	PUNCT
ejpam-5869	391	1	j.	j.	PROPN
ejpam-5869	391	2	math	math	PROPN
ejpam-5869	391	3	.	.	PUNCT
ejpam-5869	392	1	inequal	inequal	PROPN
ejpam-5869	392	2	.	.	PUNCT
ejpam-5869	392	3	,	,	PUNCT
ejpam-5869	392	4	10:135–145	10:135–145	PROPN
ejpam-5869	392	5	,	,	PUNCT
ejpam-5869	392	6	2016	2016	NUM
ejpam-5869	392	7	.	.	PUNCT
ejpam-5869	393	1	[	[	X
ejpam-5869	393	2	32	32	NUM
ejpam-5869	393	3	]	]	X
ejpam-5869	393	4	t.n	t.n	PROPN
ejpam-5869	393	5	.	.	PROPN
ejpam-5869	393	6	shanmugam	shanmugam	PROPN
ejpam-5869	393	7	,	,	PUNCT
ejpam-5869	393	8	s.	s.	PROPN
ejpam-5869	393	9	sivassubramanian	sivassubramanian	PROPN
ejpam-5869	393	10	,	,	PUNCT
ejpam-5869	393	11	and	and	CCONJ
ejpam-5869	393	12	m.	m.	NOUN
ejpam-5869	393	13	darus	darus	NOUN
ejpam-5869	393	14	.	.	PUNCT
ejpam-5869	394	1	fekete	fekete	PROPN
ejpam-5869	394	2	–	–	PUNCT
ejpam-5869	394	3	szegö	szegö	VERB
ejpam-5869	394	4	inequality	inequality	NOUN
ejpam-5869	394	5	for	for	ADP
ejpam-5869	394	6	certain	certain	ADJ
ejpam-5869	394	7	class	class	NOUN
ejpam-5869	394	8	of	of	ADP
ejpam-5869	394	9	bazilevic	bazilevic	ADJ
ejpam-5869	394	10	functions	function	NOUN
ejpam-5869	394	11	.	.	PUNCT
ejpam-5869	395	1	int	int	NOUN
ejpam-5869	395	2	.	.	PUNCT
ejpam-5869	396	1	math	math	NOUN
ejpam-5869	396	2	.	.	PUNCT
ejpam-5869	396	3	,	,	PUNCT
ejpam-5869	396	4	34:283–290	34:283–290	NUM
ejpam-5869	396	5	,	,	PUNCT
ejpam-5869	396	6	2006	2006	NUM
ejpam-5869	396	7	.	.	PUNCT