id	sid	tid	token	lemma	pos
ejpam-5435	1	1	european	european	PROPN
ejpam-5435	1	2	journal	journal	PROPN
ejpam-5435	1	3	of	of	ADP
ejpam-5435	1	4	pure	pure	ADJ
ejpam-5435	1	5	and	and	CCONJ
ejpam-5435	1	6	applied	apply	VERB
ejpam-5435	1	7	mathematics	mathematic	NOUN
ejpam-5435	1	8	vol	vol	NOUN
ejpam-5435	1	9	.	.	PROPN
ejpam-5435	2	1	17	17	NUM
ejpam-5435	2	2	,	,	PUNCT
ejpam-5435	2	3	no	no	INTJ
ejpam-5435	2	4	.	.	NOUN
ejpam-5435	2	5	4	4	NUM
ejpam-5435	2	6	,	,	PUNCT
ejpam-5435	2	7	2024	2024	NUM
ejpam-5435	2	8	,	,	PUNCT
ejpam-5435	2	9	3336	3336	NUM
ejpam-5435	2	10	-	-	SYM
ejpam-5435	2	11	3355	3355	NUM
ejpam-5435	2	12	issn	issn	VERB
ejpam-5435	2	13	1307	1307	NUM
ejpam-5435	2	14	-	-	SYM
ejpam-5435	2	15	5543	5543	NUM
ejpam-5435	2	16	–	–	PUNCT
ejpam-5435	2	17	ejpam.com	ejpam.com	X
ejpam-5435	2	18	published	publish	VERB
ejpam-5435	2	19	by	by	ADP
ejpam-5435	2	20	new	new	PROPN
ejpam-5435	2	21	york	york	PROPN
ejpam-5435	2	22	business	business	PROPN
ejpam-5435	2	23	global	global	VERB
ejpam-5435	2	24	some	some	DET
ejpam-5435	2	25	properties	property	NOUN
ejpam-5435	2	26	for	for	ADP
ejpam-5435	2	27	certain	certain	ADJ
ejpam-5435	2	28	subclasses	subclass	NOUN
ejpam-5435	2	29	of	of	ADP
ejpam-5435	2	30	spiral	spiral	ADJ
ejpam-5435	2	31	-	-	PUNCT
ejpam-5435	2	32	like	like	NOUN
ejpam-5435	2	33	and	and	CCONJ
ejpam-5435	2	34	robertson	robertson	PROPN
ejpam-5435	2	35	analytic	analytic	ADJ
ejpam-5435	2	36	functions	function	NOUN
ejpam-5435	2	37	tamer	tame	ADJ
ejpam-5435	2	38	m.	m.	NOUN
ejpam-5435	2	39	seoudy1,2	seoudy1,2	PROPN
ejpam-5435	2	40	1	1	NUM
ejpam-5435	2	41	department	department	NOUN
ejpam-5435	2	42	of	of	ADP
ejpam-5435	2	43	mathematics	mathematic	NOUN
ejpam-5435	2	44	,	,	PUNCT
ejpam-5435	2	45	faculty	faculty	NOUN
ejpam-5435	2	46	of	of	ADP
ejpam-5435	2	47	science	science	NOUN
ejpam-5435	2	48	,	,	PUNCT
ejpam-5435	2	49	fayoum	fayoum	PROPN
ejpam-5435	2	50	university	university	PROPN
ejpam-5435	2	51	,	,	PUNCT
ejpam-5435	2	52	fayoum	fayoum	PROPN
ejpam-5435	2	53	63514	63514	NUM
ejpam-5435	2	54	,	,	PUNCT
ejpam-5435	2	55	egypt	egypt	PROPN
ejpam-5435	2	56	2	2	NUM
ejpam-5435	2	57	department	department	NOUN
ejpam-5435	2	58	of	of	ADP
ejpam-5435	2	59	mathematics	mathematic	NOUN
ejpam-5435	2	60	,	,	PUNCT
ejpam-5435	2	61	jamoum	jamoum	PROPN
ejpam-5435	2	62	university	university	PROPN
ejpam-5435	2	63	college	college	NOUN
ejpam-5435	2	64	,	,	PUNCT
ejpam-5435	2	65	umm	umm	INTJ
ejpam-5435	2	66	al	al	PROPN
ejpam-5435	2	67	-	-	PUNCT
ejpam-5435	2	68	qura	qura	PROPN
ejpam-5435	2	69	university	university	PROPN
ejpam-5435	2	70	,	,	PUNCT
ejpam-5435	2	71	makkah	makkah	PROPN
ejpam-5435	2	72	,	,	PUNCT
ejpam-5435	2	73	saudi	saudi	PROPN
ejpam-5435	2	74	arabia	arabia	PROPN
ejpam-5435	2	75	abstract	abstract	NOUN
ejpam-5435	2	76	.	.	PUNCT
ejpam-5435	3	1	making	make	VERB
ejpam-5435	3	2	use	use	NOUN
ejpam-5435	3	3	of	of	ADP
ejpam-5435	3	4	the	the	DET
ejpam-5435	3	5	definition	definition	NOUN
ejpam-5435	3	6	of	of	ADP
ejpam-5435	3	7	subordination	subordination	NOUN
ejpam-5435	3	8	,	,	PUNCT
ejpam-5435	3	9	we	we	PRON
ejpam-5435	3	10	introduce	introduce	VERB
ejpam-5435	3	11	certain	certain	ADJ
ejpam-5435	3	12	subclasses	subclass	NOUN
ejpam-5435	3	13	of	of	ADP
ejpam-5435	3	14	spirallike	spirallike	ADJ
ejpam-5435	3	15	and	and	CCONJ
ejpam-5435	3	16	robertson	robertson	PROPN
ejpam-5435	3	17	functions	function	NOUN
ejpam-5435	3	18	in	in	ADP
ejpam-5435	3	19	the	the	DET
ejpam-5435	3	20	open	open	ADJ
ejpam-5435	3	21	unit	unit	NOUN
ejpam-5435	3	22	disk	disk	NOUN
ejpam-5435	3	23	and	and	CCONJ
ejpam-5435	3	24	study	study	VERB
ejpam-5435	3	25	some	some	DET
ejpam-5435	3	26	important	important	ADJ
ejpam-5435	3	27	results	result	NOUN
ejpam-5435	3	28	such	such	ADJ
ejpam-5435	3	29	as	as	ADP
ejpam-5435	3	30	convolution	convolution	NOUN
ejpam-5435	3	31	results	result	NOUN
ejpam-5435	3	32	,	,	PUNCT
ejpam-5435	3	33	coefficients	coefficient	NOUN
ejpam-5435	3	34	estimate	estimate	VERB
ejpam-5435	3	35	,	,	PUNCT
ejpam-5435	3	36	subordination	subordination	NOUN
ejpam-5435	3	37	properties	property	NOUN
ejpam-5435	3	38	and	and	CCONJ
ejpam-5435	3	39	fekete	fekete	PROPN
ejpam-5435	3	40	-	-	PUNCT
ejpam-5435	3	41	szego	szego	NOUN
ejpam-5435	3	42	problems	problem	NOUN
ejpam-5435	3	43	for	for	ADP
ejpam-5435	3	44	these	these	DET
ejpam-5435	3	45	subclasses	subclass	NOUN
ejpam-5435	3	46	.	.	PUNCT
ejpam-5435	4	1	further	far	ADV
ejpam-5435	4	2	,	,	PUNCT
ejpam-5435	4	3	some	some	DET
ejpam-5435	4	4	known	know	VERB
ejpam-5435	4	5	and	and	CCONJ
ejpam-5435	4	6	new	new	ADJ
ejpam-5435	4	7	outcomes	outcome	NOUN
ejpam-5435	4	8	which	which	PRON
ejpam-5435	4	9	follow	follow	VERB
ejpam-5435	4	10	as	as	ADP
ejpam-5435	4	11	special	special	ADJ
ejpam-5435	4	12	cases	case	NOUN
ejpam-5435	4	13	of	of	ADP
ejpam-5435	4	14	our	our	PRON
ejpam-5435	4	15	outcomes	outcome	NOUN
ejpam-5435	4	16	are	be	AUX
ejpam-5435	4	17	also	also	ADV
ejpam-5435	4	18	mentioned	mention	VERB
ejpam-5435	4	19	.	.	PUNCT
ejpam-5435	5	1	2020	2020	NUM
ejpam-5435	5	2	mathematics	mathematic	NOUN
ejpam-5435	5	3	subject	subject	NOUN
ejpam-5435	5	4	classifications	classification	NOUN
ejpam-5435	5	5	:	:	PUNCT
ejpam-5435	5	6	30c45	30c45	NUM
ejpam-5435	5	7	key	key	ADJ
ejpam-5435	5	8	words	word	NOUN
ejpam-5435	5	9	and	and	CCONJ
ejpam-5435	5	10	phrases	phrase	NOUN
ejpam-5435	5	11	:	:	PUNCT
ejpam-5435	5	12	spiral	spiral	ADJ
ejpam-5435	5	13	-	-	PUNCT
ejpam-5435	5	14	like	like	ADJ
ejpam-5435	5	15	function	function	NOUN
ejpam-5435	5	16	,	,	PUNCT
ejpam-5435	5	17	robertson	robertson	PROPN
ejpam-5435	5	18	function	function	PROPN
ejpam-5435	5	19	,	,	PUNCT
ejpam-5435	5	20	convolution	convolution	NOUN
ejpam-5435	5	21	,	,	PUNCT
ejpam-5435	5	22	subordination	subordination	NOUN
ejpam-5435	5	23	,	,	PUNCT
ejpam-5435	5	24	starlike	starlike	NOUN
ejpam-5435	5	25	,	,	PUNCT
ejpam-5435	5	26	convex	convex	PROPN
ejpam-5435	5	27	,	,	PUNCT
ejpam-5435	5	28	fekete	fekete	PROPN
ejpam-5435	5	29	-	-	PUNCT
ejpam-5435	5	30	szegö	szegö	PROPN
ejpam-5435	5	31	problem	problem	NOUN
ejpam-5435	5	32	1	1	NUM
ejpam-5435	5	33	.	.	PUNCT
ejpam-5435	6	1	introduction	introduction	NOUN
ejpam-5435	6	2	denote	denote	VERB
ejpam-5435	6	3	a	a	DET
ejpam-5435	6	4	the	the	DET
ejpam-5435	6	5	family	family	NOUN
ejpam-5435	6	6	of	of	ADP
ejpam-5435	6	7	all	all	DET
ejpam-5435	6	8	analytic	analytic	ADJ
ejpam-5435	6	9	functions	function	NOUN
ejpam-5435	6	10	of	of	ADP
ejpam-5435	6	11	the	the	DET
ejpam-5435	6	12	form	form	NOUN
ejpam-5435	6	13	:	:	PUNCT
ejpam-5435	6	14	ψ(ξ	ψ(ξ	X
ejpam-5435	6	15	)	)	PUNCT
ejpam-5435	7	1	=	=	PUNCT
ejpam-5435	8	1	ξ	ξ	X
ejpam-5435	9	1	+	+	PUNCT
ejpam-5435	9	2	∞∑	∞∑	NUM
ejpam-5435	9	3	j=2	j=2	PROPN
ejpam-5435	9	4	ρjξ	ρjξ	INTJ
ejpam-5435	9	5	j	j	PROPN
ejpam-5435	9	6	(	(	PUNCT
ejpam-5435	9	7	1	1	NUM
ejpam-5435	9	8	)	)	PUNCT
ejpam-5435	9	9	in	in	ADP
ejpam-5435	9	10	u	u	NOUN
ejpam-5435	9	11	=	=	PUNCT
ejpam-5435	9	12	{	{	PUNCT
ejpam-5435	9	13	ξ	ξ	X
ejpam-5435	9	14	∈	∈	PROPN
ejpam-5435	9	15	c	c	NOUN
ejpam-5435	9	16	:	:	PUNCT
ejpam-5435	9	17	|ξ|	|ξ|	VERB
ejpam-5435	9	18	<	<	X
ejpam-5435	9	19	1	1	NUM
ejpam-5435	9	20	}	}	PUNCT
ejpam-5435	9	21	.	.	PUNCT
ejpam-5435	10	1	let	let	VERB
ejpam-5435	10	2	ω	ω	NUM
ejpam-5435	10	3	be	be	AUX
ejpam-5435	10	4	the	the	DET
ejpam-5435	10	5	family	family	NOUN
ejpam-5435	10	6	of	of	ADP
ejpam-5435	10	7	analytic	analytic	ADJ
ejpam-5435	10	8	functions	function	NOUN
ejpam-5435	10	9	ω	ω	X
ejpam-5435	10	10	(	(	PUNCT
ejpam-5435	10	11	ξ	ξ	NOUN
ejpam-5435	10	12	)	)	PUNCT
ejpam-5435	10	13	in	in	ADP
ejpam-5435	10	14	u	u	NOUN
ejpam-5435	10	15	that	that	PRON
ejpam-5435	10	16	satisfy	satisfy	VERB
ejpam-5435	10	17	the	the	DET
ejpam-5435	10	18	conditions	condition	NOUN
ejpam-5435	10	19	ω(0	ω(0	NOUN
ejpam-5435	10	20	)	)	PUNCT
ejpam-5435	10	21	=	=	SYM
ejpam-5435	10	22	0	0	NUM
ejpam-5435	10	23	and	and	CCONJ
ejpam-5435	10	24	|ω	|ω	PROPN
ejpam-5435	10	25	(	(	PUNCT
ejpam-5435	10	26	ξ)|	ξ)|	X
ejpam-5435	10	27	<	<	X
ejpam-5435	10	28	1	1	NUM
ejpam-5435	10	29	(	(	PUNCT
ejpam-5435	10	30	ξ	ξ	PROPN
ejpam-5435	10	31	∈	∈	PROPN
ejpam-5435	10	32	u	u	NOUN
ejpam-5435	10	33	)	)	PUNCT
ejpam-5435	10	34	.	.	PUNCT
ejpam-5435	11	1	if	if	SCONJ
ejpam-5435	11	2	ψ	ψ	X
ejpam-5435	11	3	(	(	PUNCT
ejpam-5435	11	4	ξ	ξ	NOUN
ejpam-5435	11	5	)	)	PUNCT
ejpam-5435	11	6	and	and	CCONJ
ejpam-5435	11	7	ϕ	ϕ	X
ejpam-5435	11	8	(	(	PUNCT
ejpam-5435	11	9	ξ	ξ	NOUN
ejpam-5435	11	10	)	)	PUNCT
ejpam-5435	11	11	are	be	AUX
ejpam-5435	11	12	analytic	analytic	ADJ
ejpam-5435	11	13	in	in	ADP
ejpam-5435	11	14	u	u	NOUN
ejpam-5435	11	15	,	,	PUNCT
ejpam-5435	11	16	we	we	PRON
ejpam-5435	11	17	say	say	VERB
ejpam-5435	11	18	that	that	SCONJ
ejpam-5435	11	19	ψ	ψ	X
ejpam-5435	11	20	(	(	PUNCT
ejpam-5435	11	21	ξ	ξ	NOUN
ejpam-5435	11	22	)	)	PUNCT
ejpam-5435	11	23	is	be	AUX
ejpam-5435	11	24	subordinate	subordinate	ADJ
ejpam-5435	11	25	to	to	ADP
ejpam-5435	11	26	ϕ	ϕ	PROPN
ejpam-5435	11	27	(	(	PUNCT
ejpam-5435	11	28	ξ	ξ	NOUN
ejpam-5435	11	29	)	)	PUNCT
ejpam-5435	11	30	,	,	PUNCT
ejpam-5435	11	31	written	write	VERB
ejpam-5435	11	32	ψ(ξ	ψ(ξ	NOUN
ejpam-5435	11	33	)	)	PUNCT
ejpam-5435	11	34	≺	≺	PROPN
ejpam-5435	11	35	ϕ(ξ	ϕ(ξ	PROPN
ejpam-5435	11	36	)	)	PUNCT
ejpam-5435	11	37	if	if	SCONJ
ejpam-5435	11	38	there	there	PRON
ejpam-5435	11	39	exists	exist	VERB
ejpam-5435	11	40	ω	ω	PROPN
ejpam-5435	11	41	(	(	PUNCT
ejpam-5435	11	42	ξ	ξ	NOUN
ejpam-5435	11	43	)	)	PUNCT
ejpam-5435	11	44	∈	∈	PROPN
ejpam-5435	11	45	ω	ω	PROPN
ejpam-5435	11	46	,	,	PUNCT
ejpam-5435	11	47	such	such	ADJ
ejpam-5435	11	48	that	that	DET
ejpam-5435	11	49	ψ(ξ	ψ(ξ	PROPN
ejpam-5435	11	50	)	)	PUNCT
ejpam-5435	12	1	=	=	SYM
ejpam-5435	12	2	ϕ(ω(ξ	ϕ(ω(ξ	NOUN
ejpam-5435	12	3	)	)	PUNCT
ejpam-5435	12	4	)	)	PUNCT
ejpam-5435	13	1	(	(	PUNCT
ejpam-5435	13	2	ξ	ξ	X
ejpam-5435	13	3	∈	∈	PROPN
ejpam-5435	13	4	u	u	NOUN
ejpam-5435	13	5	)	)	PUNCT
ejpam-5435	13	6	(	(	PUNCT
ejpam-5435	13	7	see	see	VERB
ejpam-5435	13	8	[	[	X
ejpam-5435	13	9	6	6	NUM
ejpam-5435	13	10	]	]	PUNCT
ejpam-5435	13	11	and	and	CCONJ
ejpam-5435	14	1	[	[	X
ejpam-5435	14	2	13	13	NUM
ejpam-5435	14	3	]	]	NUM
ejpam-5435	14	4	)	)	PUNCT
ejpam-5435	14	5	.	.	PUNCT
ejpam-5435	15	1	for	for	ADP
ejpam-5435	15	2	functions	function	NOUN
ejpam-5435	15	3	ψ	ψ	X
ejpam-5435	15	4	(	(	PUNCT
ejpam-5435	15	5	ξ	ξ	NOUN
ejpam-5435	15	6	)	)	PUNCT
ejpam-5435	15	7	given	give	VERB
ejpam-5435	15	8	by	by	ADP
ejpam-5435	15	9	(	(	PUNCT
ejpam-5435	15	10	1	1	NUM
ejpam-5435	15	11	)	)	PUNCT
ejpam-5435	15	12	and	and	CCONJ
ejpam-5435	15	13	ϕ	ϕ	X
ejpam-5435	15	14	(	(	PUNCT
ejpam-5435	15	15	ξ	ξ	NOUN
ejpam-5435	15	16	)	)	PUNCT
ejpam-5435	15	17	given	give	VERB
ejpam-5435	15	18	by	by	ADP
ejpam-5435	15	19	ϕ(ξ	ϕ(ξ	PROPN
ejpam-5435	15	20	)	)	PUNCT
ejpam-5435	16	1	=	=	PUNCT
ejpam-5435	17	1	ξ	ξ	PROPN
ejpam-5435	17	2	+	+	PUNCT
ejpam-5435	17	3	∞∑	∞∑	PROPN
ejpam-5435	17	4	j=2	j=2	PROPN
ejpam-5435	17	5	σjξ	σjξ	PROPN
ejpam-5435	17	6	j	j	PROPN
ejpam-5435	17	7	,	,	PUNCT
ejpam-5435	17	8	(	(	PUNCT
ejpam-5435	17	9	2	2	X
ejpam-5435	17	10	)	)	PUNCT
ejpam-5435	17	11	doi	doi	NOUN
ejpam-5435	17	12	:	:	PUNCT
ejpam-5435	17	13	https://doi.org/10.29020/nybg.ejpam.v17i4.5435	https://doi.org/10.29020/nybg.ejpam.v17i4.5435	ADP
ejpam-5435	17	14	email	email	NOUN
ejpam-5435	17	15	addresses	address	NOUN
ejpam-5435	17	16	:	:	PUNCT
ejpam-5435	17	17	tms00@fayoum.edu.eg	tms00@fayoum.edu.eg	NUM
ejpam-5435	17	18	,	,	PUNCT
ejpam-5435	17	19	tmsaman@uqu.edu.sa	tmsaman@uqu.edu.sa	PROPN
ejpam-5435	17	20	(	(	PUNCT
ejpam-5435	17	21	t.	t.	PROPN
ejpam-5435	17	22	m.	m.	PROPN
ejpam-5435	17	23	seoudy	seoudy	PROPN
ejpam-5435	17	24	)	)	PUNCT
ejpam-5435	17	25	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5435	17	26	3336	3336	NUM
ejpam-5435	18	1	copyright	copyright	NOUN
ejpam-5435	18	2	:	:	PUNCT
ejpam-5435	18	3	©	©	PROPN
ejpam-5435	18	4	2024	2024	NUM
ejpam-5435	18	5	the	the	DET
ejpam-5435	18	6	author(s	author(s	NOUN
ejpam-5435	18	7	)	)	PUNCT
ejpam-5435	18	8	.	.	PUNCT
ejpam-5435	19	1	(	(	PUNCT
ejpam-5435	19	2	cc	cc	NOUN
ejpam-5435	19	3	by	by	ADP
ejpam-5435	19	4	-	-	PUNCT
ejpam-5435	19	5	nc	nc	PROPN
ejpam-5435	19	6	4.0	4.0	NUM
ejpam-5435	19	7	)	)	PUNCT
ejpam-5435	19	8	t.	t.	NOUN
ejpam-5435	19	9	m.	m.	NOUN
ejpam-5435	19	10	seoudy	seoudy	PROPN
ejpam-5435	19	11	/	/	SYM
ejpam-5435	19	12	eur	eur	PROPN
ejpam-5435	19	13	.	.	PUNCT
ejpam-5435	20	1	j.	j.	PROPN
ejpam-5435	20	2	pure	pure	PROPN
ejpam-5435	20	3	appl	appl	PROPN
ejpam-5435	20	4	.	.	PROPN
ejpam-5435	20	5	math	math	PROPN
ejpam-5435	20	6	,	,	PUNCT
ejpam-5435	20	7	17	17	NUM
ejpam-5435	20	8	(	(	PUNCT
ejpam-5435	20	9	4	4	NUM
ejpam-5435	20	10	)	)	PUNCT
ejpam-5435	20	11	(	(	PUNCT
ejpam-5435	20	12	2024	2024	NUM
ejpam-5435	20	13	)	)	PUNCT
ejpam-5435	20	14	,	,	PUNCT
ejpam-5435	20	15	3336	3336	NUM
ejpam-5435	20	16	-	-	SYM
ejpam-5435	20	17	3355	3355	NUM
ejpam-5435	20	18	3337	3337	NUM
ejpam-5435	20	19	the	the	DET
ejpam-5435	20	20	convolution	convolution	NOUN
ejpam-5435	20	21	of	of	ADP
ejpam-5435	20	22	the	the	DET
ejpam-5435	20	23	functions	function	NOUN
ejpam-5435	20	24	ψ	ψ	X
ejpam-5435	20	25	(	(	PUNCT
ejpam-5435	20	26	ξ	ξ	NOUN
ejpam-5435	20	27	)	)	PUNCT
ejpam-5435	20	28	and	and	CCONJ
ejpam-5435	20	29	ϕ	ϕ	X
ejpam-5435	20	30	(	(	PUNCT
ejpam-5435	20	31	ξ	ξ	NOUN
ejpam-5435	20	32	)	)	PUNCT
ejpam-5435	20	33	is	be	AUX
ejpam-5435	20	34	defined	define	VERB
ejpam-5435	20	35	by	by	ADP
ejpam-5435	20	36	(	(	PUNCT
ejpam-5435	20	37	ψ	ψ	NOUN
ejpam-5435	20	38	∗	∗	PRON
ejpam-5435	20	39	ϕ	ϕ	NOUN
ejpam-5435	20	40	)	)	PUNCT
ejpam-5435	20	41	(	(	PUNCT
ejpam-5435	20	42	ξ	ξ	X
ejpam-5435	20	43	)	)	PUNCT
ejpam-5435	20	44	=	=	SYM
ejpam-5435	21	1	ξ	ξ	PROPN
ejpam-5435	21	2	+	+	PUNCT
ejpam-5435	21	3	∞∑	∞∑	NUM
ejpam-5435	21	4	j=2	j=2	PROPN
ejpam-5435	21	5	ρj	ρj	PROPN
ejpam-5435	21	6	σjξ	σjξ	PROPN
ejpam-5435	21	7	j	j	PROPN
ejpam-5435	22	1	=	=	PRON
ejpam-5435	22	2	(	(	PUNCT
ejpam-5435	22	3	ϕ	ϕ	X
ejpam-5435	22	4	∗	∗	X
ejpam-5435	22	5	ψ	ψ	NOUN
ejpam-5435	22	6	)	)	PUNCT
ejpam-5435	22	7	(	(	PUNCT
ejpam-5435	22	8	ξ	ξ	NOUN
ejpam-5435	22	9	)	)	PUNCT
ejpam-5435	22	10	.	.	PUNCT
ejpam-5435	23	1	(	(	PUNCT
ejpam-5435	23	2	3	3	X
ejpam-5435	23	3	)	)	PUNCT
ejpam-5435	23	4	for	for	ADP
ejpam-5435	23	5	|γ|	|γ|	PRON
ejpam-5435	23	6	<	<	X
ejpam-5435	23	7	π	π	X
ejpam-5435	23	8	2	2	NUM
ejpam-5435	23	9	and	and	CCONJ
ejpam-5435	23	10	−1	−1	NOUN
ejpam-5435	23	11	≤	≤	NUM
ejpam-5435	24	1	d	d	ADP
ejpam-5435	24	2	<	<	X
ejpam-5435	24	3	c	c	X
ejpam-5435	24	4	≤	≤	NUM
ejpam-5435	24	5	1	1	NUM
ejpam-5435	24	6	,	,	PUNCT
ejpam-5435	24	7	a	a	DET
ejpam-5435	24	8	function	function	NOUN
ejpam-5435	24	9	ψ	ψ	X
ejpam-5435	24	10	(	(	PUNCT
ejpam-5435	24	11	ξ	ξ	NOUN
ejpam-5435	24	12	)	)	PUNCT
ejpam-5435	24	13	of	of	ADP
ejpam-5435	24	14	a	a	PRON
ejpam-5435	24	15	is	be	AUX
ejpam-5435	24	16	said	say	VERB
ejpam-5435	24	17	to	to	PART
ejpam-5435	24	18	be	be	AUX
ejpam-5435	24	19	in	in	ADP
ejpam-5435	24	20	sγ	sγ	PROPN
ejpam-5435	24	21	[	[	X
ejpam-5435	24	22	c	c	X
ejpam-5435	24	23	,	,	PUNCT
ejpam-5435	24	24	d	d	X
ejpam-5435	24	25	]	]	X
ejpam-5435	24	26	if	if	SCONJ
ejpam-5435	24	27	it	it	PRON
ejpam-5435	24	28	it	it	PRON
ejpam-5435	24	29	satisfies	satisfy	VERB
ejpam-5435	24	30	the	the	DET
ejpam-5435	24	31	following	follow	VERB
ejpam-5435	24	32	subordination	subordination	NOUN
ejpam-5435	24	33	condition	condition	NOUN
ejpam-5435	24	34	:	:	PUNCT
ejpam-5435	24	35	eiγ	eiγ	VERB
ejpam-5435	24	36	ξψ′	ξψ′	PROPN
ejpam-5435	24	37	(	(	PUNCT
ejpam-5435	24	38	ξ	ξ	NOUN
ejpam-5435	24	39	)	)	PUNCT
ejpam-5435	24	40	ψ	ψ	X
ejpam-5435	24	41	(	(	PUNCT
ejpam-5435	24	42	ξ	ξ	NOUN
ejpam-5435	24	43	)	)	PUNCT
ejpam-5435	24	44	≺	≺	NOUN
ejpam-5435	24	45	cos	cos	SCONJ
ejpam-5435	24	46	γ	γ	X
ejpam-5435	24	47	(	(	PUNCT
ejpam-5435	24	48	1	1	NUM
ejpam-5435	24	49	+	+	NUM
ejpam-5435	24	50	cξ	cξ	NOUN
ejpam-5435	24	51	1	1	NUM
ejpam-5435	25	1	+	+	NOUN
ejpam-5435	25	2	dξ	dξ	PROPN
ejpam-5435	25	3	)	)	PUNCT
ejpam-5435	26	1	+	+	CCONJ
ejpam-5435	26	2	i	i	PRON
ejpam-5435	26	3	sin	sin	VERB
ejpam-5435	26	4	γ	γ	PROPN
ejpam-5435	26	5	,	,	PUNCT
ejpam-5435	26	6	(	(	PUNCT
ejpam-5435	26	7	4	4	NUM
ejpam-5435	26	8	)	)	PUNCT
ejpam-5435	26	9	also	also	ADV
ejpam-5435	26	10	,	,	PUNCT
ejpam-5435	26	11	let	let	VERB
ejpam-5435	26	12	kγ	kγ	PRON
ejpam-5435	26	13	[	[	X
ejpam-5435	26	14	c	c	X
ejpam-5435	26	15	,	,	PUNCT
ejpam-5435	26	16	d	d	X
ejpam-5435	26	17	]	]	PUNCT
ejpam-5435	26	18	denote	denote	VERB
ejpam-5435	26	19	the	the	DET
ejpam-5435	26	20	subfamily	subfamily	NOUN
ejpam-5435	26	21	of	of	ADP
ejpam-5435	26	22	all	all	DET
ejpam-5435	26	23	functions	function	NOUN
ejpam-5435	26	24	ψ	ψ	X
ejpam-5435	26	25	(	(	PUNCT
ejpam-5435	26	26	ξ	ξ	NOUN
ejpam-5435	26	27	)	)	PUNCT
ejpam-5435	26	28	in	in	ADP
ejpam-5435	26	29	a	a	DET
ejpam-5435	26	30	satisfying	satisfying	NOUN
ejpam-5435	26	31	the	the	DET
ejpam-5435	26	32	condition	condition	NOUN
ejpam-5435	26	33	that	that	SCONJ
ejpam-5435	26	34	ξψ′	ξψ′	PROPN
ejpam-5435	26	35	(	(	PUNCT
ejpam-5435	26	36	ξ	ξ	NOUN
ejpam-5435	26	37	)	)	PUNCT
ejpam-5435	26	38	∈	∈	NOUN
ejpam-5435	26	39	sγ	sγ	VERB
ejpam-5435	27	1	[	[	X
ejpam-5435	27	2	c	c	X
ejpam-5435	27	3	,	,	PUNCT
ejpam-5435	27	4	d	d	NOUN
ejpam-5435	27	5	]	]	X
ejpam-5435	27	6	.	.	PUNCT
ejpam-5435	28	1	sγ	sγ	X
ejpam-5435	29	1	[	[	X
ejpam-5435	29	2	c	c	X
ejpam-5435	29	3	,	,	PUNCT
ejpam-5435	29	4	d	d	X
ejpam-5435	29	5	]	]	PUNCT
ejpam-5435	29	6	and	and	CCONJ
ejpam-5435	29	7	kγ	kγ	X
ejpam-5435	30	1	[	[	X
ejpam-5435	30	2	c	c	X
ejpam-5435	30	3	,	,	PUNCT
ejpam-5435	30	4	d	d	X
ejpam-5435	30	5	]	]	X
ejpam-5435	30	6	are	be	AUX
ejpam-5435	30	7	the	the	DET
ejpam-5435	30	8	subfamilies	subfamily	NOUN
ejpam-5435	30	9	of	of	ADP
ejpam-5435	30	10	spirallike	spirallike	ADJ
ejpam-5435	30	11	and	and	CCONJ
ejpam-5435	30	12	robertson	robertson	PROPN
ejpam-5435	30	13	functions	function	NOUN
ejpam-5435	30	14	respectively	respectively	ADV
ejpam-5435	30	15	studied	study	VERB
ejpam-5435	30	16	by	by	ADP
ejpam-5435	30	17	several	several	ADJ
ejpam-5435	30	18	authors	author	NOUN
ejpam-5435	30	19	earlier	early	ADV
ejpam-5435	30	20	(	(	PUNCT
ejpam-5435	30	21	[	[	X
ejpam-5435	30	22	15	15	NUM
ejpam-5435	30	23	]	]	PUNCT
ejpam-5435	30	24	,	,	PUNCT
ejpam-5435	30	25	[	[	X
ejpam-5435	30	26	4	4	NUM
ejpam-5435	30	27	,	,	PUNCT
ejpam-5435	30	28	5	5	NUM
ejpam-5435	30	29	]	]	NUM
ejpam-5435	30	30	)	)	PUNCT
ejpam-5435	30	31	.	.	PUNCT
ejpam-5435	31	1	we	we	PRON
ejpam-5435	31	2	note	note	VERB
ejpam-5435	31	3	that	that	SCONJ
ejpam-5435	31	4	s0	s0	PROPN
ejpam-5435	31	5	[	[	X
ejpam-5435	31	6	c	c	X
ejpam-5435	31	7	,	,	PUNCT
ejpam-5435	31	8	d	d	X
ejpam-5435	31	9	]	]	X
ejpam-5435	31	10	=	=	SYM
ejpam-5435	31	11	s	s	X
ejpam-5435	32	1	[	[	X
ejpam-5435	32	2	c	c	X
ejpam-5435	32	3	,	,	PUNCT
ejpam-5435	32	4	d	d	X
ejpam-5435	32	5	]	]	X
ejpam-5435	32	6	,	,	PUNCT
ejpam-5435	32	7	k0	k0	PROPN
ejpam-5435	33	1	[	[	X
ejpam-5435	33	2	c;d	c;d	X
ejpam-5435	33	3	]	]	X
ejpam-5435	33	4	=	=	SYM
ejpam-5435	33	5	k	k	X
ejpam-5435	34	1	[	[	X
ejpam-5435	34	2	c;d	c;d	X
ejpam-5435	34	3	]	]	PUNCT
ejpam-5435	34	4	with	with	ADP
ejpam-5435	34	5	−1	−1	NOUN
ejpam-5435	34	6	≤	≤	PUNCT
ejpam-5435	34	7	d	d	ADP
ejpam-5435	34	8	<	<	X
ejpam-5435	34	9	c	c	X
ejpam-5435	34	10	≤	≤	NUM
ejpam-5435	34	11	1	1	NUM
ejpam-5435	34	12	,	,	PUNCT
ejpam-5435	34	13	where	where	SCONJ
ejpam-5435	34	14	the	the	DET
ejpam-5435	34	15	subfamilies	subfamily	NOUN
ejpam-5435	34	16	s	s	VERB
ejpam-5435	34	17	[	[	X
ejpam-5435	34	18	c	c	X
ejpam-5435	34	19	,	,	PUNCT
ejpam-5435	34	20	d	d	X
ejpam-5435	34	21	]	]	X
ejpam-5435	34	22	and	and	CCONJ
ejpam-5435	34	23	k	k	X
ejpam-5435	35	1	[	[	X
ejpam-5435	35	2	c;d	c;d	X
ejpam-5435	35	3	]	]	PUNCT
ejpam-5435	35	4	of	of	ADP
ejpam-5435	35	5	janowski	janowski	ADJ
ejpam-5435	35	6	functions	function	NOUN
ejpam-5435	35	7	are	be	AUX
ejpam-5435	35	8	introduced	introduce	VERB
ejpam-5435	35	9	and	and	CCONJ
ejpam-5435	35	10	studied	study	VERB
ejpam-5435	35	11	by	by	ADP
ejpam-5435	35	12	many	many	ADJ
ejpam-5435	35	13	authors	author	NOUN
ejpam-5435	35	14	(	(	PUNCT
ejpam-5435	35	15	see	see	VERB
ejpam-5435	35	16	[	[	X
ejpam-5435	35	17	1	1	NUM
ejpam-5435	35	18	]	]	PUNCT
ejpam-5435	35	19	,	,	PUNCT
ejpam-5435	35	20	[	[	X
ejpam-5435	35	21	2	2	NUM
ejpam-5435	35	22	]	]	PUNCT
ejpam-5435	35	23	,	,	PUNCT
ejpam-5435	35	24	[	[	X
ejpam-5435	35	25	7	7	NUM
ejpam-5435	35	26	]	]	PUNCT
ejpam-5435	35	27	,	,	PUNCT
ejpam-5435	35	28	[	[	X
ejpam-5435	35	29	9	9	NUM
ejpam-5435	35	30	]	]	PUNCT
ejpam-5435	35	31	,	,	PUNCT
ejpam-5435	35	32	[	[	X
ejpam-5435	35	33	10	10	NUM
ejpam-5435	35	34	]	]	PUNCT
ejpam-5435	35	35	,	,	PUNCT
ejpam-5435	35	36	[	[	X
ejpam-5435	35	37	21	21	NUM
ejpam-5435	35	38	]	]	PUNCT
ejpam-5435	35	39	and	and	CCONJ
ejpam-5435	35	40	[	[	X
ejpam-5435	35	41	20	20	NUM
ejpam-5435	35	42	]	]	NUM
ejpam-5435	35	43	)	)	PUNCT
ejpam-5435	35	44	.	.	PUNCT
ejpam-5435	36	1	also	also	ADV
ejpam-5435	36	2	,	,	PUNCT
ejpam-5435	36	3	we	we	PRON
ejpam-5435	36	4	have	have	VERB
ejpam-5435	36	5	s0	s0	PROPN
ejpam-5435	36	6	[	[	X
ejpam-5435	36	7	1−	1−	NUM
ejpam-5435	36	8	2λ,−1	2λ,−1	NUM
ejpam-5435	36	9	]	]	X
ejpam-5435	37	1	=	=	SYM
ejpam-5435	37	2	s	s	X
ejpam-5435	37	3	(	(	PUNCT
ejpam-5435	37	4	λ	λ	NOUN
ejpam-5435	37	5	)	)	PUNCT
ejpam-5435	37	6	and	and	CCONJ
ejpam-5435	37	7	k0	k0	PROPN
ejpam-5435	37	8	[	[	X
ejpam-5435	37	9	1−	1−	NUM
ejpam-5435	37	10	2λ,−1	2λ,−1	NUM
ejpam-5435	37	11	]	]	X
ejpam-5435	38	1	=	=	SYM
ejpam-5435	38	2	k	k	X
ejpam-5435	38	3	(	(	PUNCT
ejpam-5435	38	4	λ	λ	NOUN
ejpam-5435	38	5	)	)	PUNCT
ejpam-5435	38	6	with	with	ADP
ejpam-5435	38	7	0	0	NUM
ejpam-5435	38	8	≤	≤	NUM
ejpam-5435	38	9	λ	λ	X
ejpam-5435	38	10	<	<	X
ejpam-5435	38	11	1	1	NUM
ejpam-5435	38	12	,	,	PUNCT
ejpam-5435	38	13	where	where	SCONJ
ejpam-5435	38	14	s∗	s∗	PROPN
ejpam-5435	38	15	(	(	PUNCT
ejpam-5435	38	16	λ	λ	NOUN
ejpam-5435	38	17	)	)	PUNCT
ejpam-5435	38	18	and	and	CCONJ
ejpam-5435	38	19	k	k	PROPN
ejpam-5435	38	20	(	(	PUNCT
ejpam-5435	38	21	λ	λ	NOUN
ejpam-5435	38	22	)	)	PUNCT
ejpam-5435	38	23	denote	denote	VERB
ejpam-5435	38	24	the	the	DET
ejpam-5435	38	25	subfamilies	subfamily	NOUN
ejpam-5435	38	26	of	of	ADP
ejpam-5435	38	27	a	a	PRON
ejpam-5435	38	28	that	that	PRON
ejpam-5435	38	29	consists	consist	VERB
ejpam-5435	38	30	,	,	PUNCT
ejpam-5435	38	31	respectively	respectively	ADV
ejpam-5435	38	32	,	,	PUNCT
ejpam-5435	38	33	of	of	ADP
ejpam-5435	38	34	starlike	starlike	NOUN
ejpam-5435	38	35	of	of	ADP
ejpam-5435	38	36	order	order	NOUN
ejpam-5435	38	37	λ	λ	NOUN
ejpam-5435	38	38	and	and	CCONJ
ejpam-5435	38	39	convex	convex	NOUN
ejpam-5435	38	40	of	of	ADP
ejpam-5435	38	41	order	order	NOUN
ejpam-5435	38	42	λ	λ	X
ejpam-5435	38	43	in	in	ADP
ejpam-5435	38	44	u	u	NOUN
ejpam-5435	38	45	(	(	PUNCT
ejpam-5435	38	46	see	see	VERB
ejpam-5435	38	47	[	[	X
ejpam-5435	38	48	17	17	NUM
ejpam-5435	38	49	]	]	PUNCT
ejpam-5435	38	50	and	and	CCONJ
ejpam-5435	38	51	[	[	X
ejpam-5435	38	52	19	19	NUM
ejpam-5435	38	53	]	]	NUM
ejpam-5435	38	54	)	)	PUNCT
ejpam-5435	38	55	.	.	PUNCT
ejpam-5435	39	1	making	make	VERB
ejpam-5435	39	2	use	use	NOUN
ejpam-5435	39	3	of	of	ADP
ejpam-5435	39	4	the	the	DET
ejpam-5435	39	5	subordination	subordination	NOUN
ejpam-5435	39	6	,	,	PUNCT
ejpam-5435	39	7	we	we	PRON
ejpam-5435	39	8	combine	combine	VERB
ejpam-5435	39	9	the	the	DET
ejpam-5435	39	10	subfamilies	subfamily	NOUN
ejpam-5435	39	11	sγ	sγ	ADP
ejpam-5435	40	1	[	[	X
ejpam-5435	40	2	c	c	X
ejpam-5435	40	3	,	,	PUNCT
ejpam-5435	40	4	d	d	X
ejpam-5435	40	5	]	]	PUNCT
ejpam-5435	40	6	and	and	CCONJ
ejpam-5435	40	7	kγ	kγ	X
ejpam-5435	41	1	[	[	X
ejpam-5435	41	2	c	c	X
ejpam-5435	41	3	,	,	PUNCT
ejpam-5435	41	4	d	d	X
ejpam-5435	41	5	]	]	X
ejpam-5435	41	6	into	into	ADP
ejpam-5435	41	7	a	a	DET
ejpam-5435	41	8	new	new	ADJ
ejpam-5435	41	9	subfamily	subfamily	NOUN
ejpam-5435	41	10	skγ	skγ	ADP
ejpam-5435	42	1	[	[	X
ejpam-5435	42	2	α	α	X
ejpam-5435	42	3	,	,	PUNCT
ejpam-5435	42	4	β;c	β;c	PRON
ejpam-5435	42	5	,	,	PUNCT
ejpam-5435	42	6	d	d	X
ejpam-5435	42	7	]	]	PUNCT
ejpam-5435	42	8	of	of	ADP
ejpam-5435	42	9	a	a	PRON
ejpam-5435	42	10	as	as	SCONJ
ejpam-5435	42	11	follows	follow	VERB
ejpam-5435	42	12	:	:	PUNCT
ejpam-5435	42	13	definition	definition	NOUN
ejpam-5435	42	14	1	1	NUM
ejpam-5435	42	15	.	.	PUNCT
ejpam-5435	43	1	a	a	DET
ejpam-5435	43	2	function	function	NOUN
ejpam-5435	43	3	ψ	ψ	X
ejpam-5435	43	4	(	(	PUNCT
ejpam-5435	43	5	ξ	ξ	NOUN
ejpam-5435	43	6	)	)	PUNCT
ejpam-5435	43	7	∈	∈	PROPN
ejpam-5435	43	8	a	a	PRON
ejpam-5435	43	9	is	be	AUX
ejpam-5435	43	10	said	say	VERB
ejpam-5435	43	11	to	to	PART
ejpam-5435	43	12	be	be	AUX
ejpam-5435	43	13	in	in	ADP
ejpam-5435	43	14	the	the	DET
ejpam-5435	43	15	subfamily	subfamily	NOUN
ejpam-5435	43	16	skγ	skγ	PROPN
ejpam-5435	44	1	[	[	X
ejpam-5435	44	2	α	α	X
ejpam-5435	44	3	,	,	PUNCT
ejpam-5435	44	4	β;c	β;c	PRON
ejpam-5435	44	5	,	,	PUNCT
ejpam-5435	44	6	d	d	X
ejpam-5435	44	7	]	]	X
ejpam-5435	44	8	if	if	SCONJ
ejpam-5435	44	9	it	it	PRON
ejpam-5435	44	10	satisfies	satisfy	VERB
ejpam-5435	44	11	the	the	DET
ejpam-5435	44	12	following	follow	VERB
ejpam-5435	44	13	condition	condition	NOUN
ejpam-5435	44	14	:	:	PUNCT
ejpam-5435	44	15	eiγ	eiγ	PROPN
ejpam-5435	44	16	[	[	PUNCT
ejpam-5435	44	17	(	(	PUNCT
ejpam-5435	44	18	α+	α+	X
ejpam-5435	44	19	β	β	NOUN
ejpam-5435	44	20	)	)	PUNCT
ejpam-5435	44	21	ξψ′	ξψ′	PROPN
ejpam-5435	44	22	(	(	PUNCT
ejpam-5435	44	23	ξ	ξ	NOUN
ejpam-5435	44	24	)	)	PUNCT
ejpam-5435	45	1	+	+	NUM
ejpam-5435	45	2	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	45	3	(	(	PUNCT
ejpam-5435	45	4	ξ	ξ	X
ejpam-5435	45	5	)	)	PUNCT
ejpam-5435	45	6	αψ	αψ	PROPN
ejpam-5435	45	7	(	(	PUNCT
ejpam-5435	45	8	ξ	ξ	NOUN
ejpam-5435	45	9	)	)	PUNCT
ejpam-5435	45	10	+	+	CCONJ
ejpam-5435	45	11	βξψ′	βξψ′	NUM
ejpam-5435	45	12	(	(	PUNCT
ejpam-5435	45	13	ξ	ξ	NOUN
ejpam-5435	45	14	)	)	PUNCT
ejpam-5435	45	15	]	]	PUNCT
ejpam-5435	45	16	≺	≺	NOUN
ejpam-5435	46	1	cos	cos	ADP
ejpam-5435	46	2	γ	γ	X
ejpam-5435	46	3	(	(	PUNCT
ejpam-5435	46	4	1	1	NUM
ejpam-5435	46	5	+	+	NUM
ejpam-5435	46	6	cξ	cξ	NOUN
ejpam-5435	46	7	1	1	NUM
ejpam-5435	46	8	+	+	NOUN
ejpam-5435	46	9	dξ	dξ	PROPN
ejpam-5435	46	10	)	)	PUNCT
ejpam-5435	47	1	+	+	CCONJ
ejpam-5435	47	2	i	i	PRON
ejpam-5435	47	3	sin	sin	VERB
ejpam-5435	47	4	γ	γ	X
ejpam-5435	47	5	(	(	PUNCT
ejpam-5435	47	6	5	5	NUM
ejpam-5435	47	7	)	)	PUNCT
ejpam-5435	47	8	(	(	PUNCT
ejpam-5435	47	9	ξ	ξ	PROPN
ejpam-5435	47	10	∈	∈	PROPN
ejpam-5435	47	11	u;α	u;α	PROPN
ejpam-5435	47	12	,	,	PUNCT
ejpam-5435	47	13	β	β	X
ejpam-5435	47	14	≥	≥	NUM
ejpam-5435	47	15	0	0	NUM
ejpam-5435	47	16	;	;	PUNCT
ejpam-5435	48	1	|γ|	|γ|	PROPN
ejpam-5435	48	2	<	<	X
ejpam-5435	48	3	π	π	PROPN
ejpam-5435	48	4	2	2	NUM
ejpam-5435	48	5	;	;	PUNCT
ejpam-5435	48	6	−1	−1	NOUN
ejpam-5435	48	7	≤	≤	PUNCT
ejpam-5435	49	1	d	d	X
ejpam-5435	49	2	<	<	X
ejpam-5435	49	3	c	c	X
ejpam-5435	49	4	≤	≤	NUM
ejpam-5435	49	5	1	1	NUM
ejpam-5435	49	6	)	)	PUNCT
ejpam-5435	49	7	.	.	PUNCT
ejpam-5435	50	1	we	we	PRON
ejpam-5435	50	2	note	note	VERB
ejpam-5435	50	3	that	that	SCONJ
ejpam-5435	50	4	(	(	PUNCT
ejpam-5435	50	5	i	i	NOUN
ejpam-5435	50	6	)	)	PUNCT
ejpam-5435	50	7	skγ	skγ	PROPN
ejpam-5435	51	1	[	[	X
ejpam-5435	51	2	α	α	X
ejpam-5435	51	3	,	,	PUNCT
ejpam-5435	51	4	0;c	0;c	NUM
ejpam-5435	51	5	,	,	PUNCT
ejpam-5435	51	6	d	d	X
ejpam-5435	51	7	]	]	X
ejpam-5435	51	8	=	=	PUNCT
ejpam-5435	51	9	sγ	sγ	NOUN
ejpam-5435	52	1	[	[	X
ejpam-5435	52	2	c	c	X
ejpam-5435	52	3	,	,	PUNCT
ejpam-5435	52	4	d	d	X
ejpam-5435	52	5	]	]	X
ejpam-5435	52	6	(	(	PUNCT
ejpam-5435	52	7	see	see	VERB
ejpam-5435	52	8	[	[	X
ejpam-5435	52	9	15	15	NUM
ejpam-5435	52	10	]	]	PUNCT
ejpam-5435	52	11	)	)	PUNCT
ejpam-5435	52	12	sγ	sγ	VERB
ejpam-5435	53	1	[	[	X
ejpam-5435	53	2	c	c	X
ejpam-5435	53	3	,	,	PUNCT
ejpam-5435	53	4	d	d	X
ejpam-5435	53	5	]	]	X
ejpam-5435	53	6	=	=	SYM
ejpam-5435	53	7	{	{	PUNCT
ejpam-5435	53	8	ψ	ψ	X
ejpam-5435	53	9	(	(	PUNCT
ejpam-5435	53	10	ξ	ξ	NOUN
ejpam-5435	53	11	)	)	PUNCT
ejpam-5435	53	12	∈	∈	PROPN
ejpam-5435	53	13	a	a	DET
ejpam-5435	53	14	:	:	PUNCT
ejpam-5435	53	15	eiγ	eiγ	PROPN
ejpam-5435	53	16	[	[	PUNCT
ejpam-5435	53	17	ξψ′	ξψ′	PROPN
ejpam-5435	53	18	(	(	PUNCT
ejpam-5435	53	19	ξ	ξ	NOUN
ejpam-5435	53	20	)	)	PUNCT
ejpam-5435	53	21	ψ	ψ	X
ejpam-5435	53	22	(	(	PUNCT
ejpam-5435	53	23	ξ	ξ	NOUN
ejpam-5435	53	24	)	)	PUNCT
ejpam-5435	53	25	]	]	PUNCT
ejpam-5435	53	26	≺	≺	NOUN
ejpam-5435	53	27	cos	cos	ADP
ejpam-5435	53	28	γ	γ	X
ejpam-5435	53	29	(	(	PUNCT
ejpam-5435	53	30	1	1	NUM
ejpam-5435	53	31	+	+	NUM
ejpam-5435	53	32	cξ	cξ	NOUN
ejpam-5435	53	33	1	1	NUM
ejpam-5435	54	1	+	+	NOUN
ejpam-5435	54	2	dξ	dξ	PROPN
ejpam-5435	54	3	)	)	PUNCT
ejpam-5435	55	1	+	+	CCONJ
ejpam-5435	55	2	i	i	PRON
ejpam-5435	55	3	sin	sin	VERB
ejpam-5435	55	4	γ	γ	X
ejpam-5435	55	5	}	}	PUNCT
ejpam-5435	55	6	;	;	PUNCT
ejpam-5435	55	7	(	(	PUNCT
ejpam-5435	55	8	ii	ii	NOUN
ejpam-5435	55	9	)	)	PUNCT
ejpam-5435	55	10	skγ	skγ	PROPN
ejpam-5435	56	1	[	[	X
ejpam-5435	56	2	0	0	NUM
ejpam-5435	56	3	,	,	PUNCT
ejpam-5435	56	4	β;c	β;c	PRON
ejpam-5435	56	5	,	,	PUNCT
ejpam-5435	56	6	d	d	X
ejpam-5435	56	7	]	]	X
ejpam-5435	56	8	=	=	PUNCT
ejpam-5435	56	9	kγ	kγ	PROPN
ejpam-5435	57	1	[	[	X
ejpam-5435	57	2	c	c	X
ejpam-5435	57	3	,	,	PUNCT
ejpam-5435	57	4	d	d	X
ejpam-5435	57	5	]	]	X
ejpam-5435	57	6	(	(	PUNCT
ejpam-5435	57	7	see	see	VERB
ejpam-5435	57	8	[	[	X
ejpam-5435	57	9	4	4	NUM
ejpam-5435	57	10	,	,	PUNCT
ejpam-5435	57	11	5	5	NUM
ejpam-5435	57	12	]	]	PUNCT
ejpam-5435	57	13	)	)	PUNCT
ejpam-5435	57	14	kγ	kγ	PROPN
ejpam-5435	58	1	[	[	X
ejpam-5435	58	2	c	c	X
ejpam-5435	58	3	,	,	PUNCT
ejpam-5435	58	4	d	d	X
ejpam-5435	58	5	]	]	X
ejpam-5435	58	6	=	=	SYM
ejpam-5435	58	7	{	{	PUNCT
ejpam-5435	58	8	ψ	ψ	X
ejpam-5435	58	9	(	(	PUNCT
ejpam-5435	58	10	ξ	ξ	NOUN
ejpam-5435	58	11	)	)	PUNCT
ejpam-5435	58	12	∈	∈	PROPN
ejpam-5435	58	13	a	a	DET
ejpam-5435	58	14	:	:	PUNCT
ejpam-5435	58	15	eiγ	eiγ	PROPN
ejpam-5435	58	16	[	[	PUNCT
ejpam-5435	58	17	1	1	NUM
ejpam-5435	58	18	+	+	NUM
ejpam-5435	58	19	ξψ′′	ξψ′′	PROPN
ejpam-5435	58	20	(	(	PUNCT
ejpam-5435	58	21	ξ	ξ	NOUN
ejpam-5435	58	22	)	)	PUNCT
ejpam-5435	58	23	ψ′	ψ′	PUNCT
ejpam-5435	58	24	(	(	PUNCT
ejpam-5435	58	25	ξ	ξ	NOUN
ejpam-5435	58	26	)	)	PUNCT
ejpam-5435	58	27	]	]	PUNCT
ejpam-5435	58	28	≺	≺	NOUN
ejpam-5435	58	29	cos	cos	ADP
ejpam-5435	58	30	γ	γ	X
ejpam-5435	58	31	(	(	PUNCT
ejpam-5435	58	32	1	1	NUM
ejpam-5435	58	33	+	+	NUM
ejpam-5435	58	34	cξ	cξ	NOUN
ejpam-5435	58	35	1	1	NUM
ejpam-5435	59	1	+	+	NOUN
ejpam-5435	59	2	dξ	dξ	PROPN
ejpam-5435	59	3	)	)	PUNCT
ejpam-5435	60	1	+	+	CCONJ
ejpam-5435	60	2	i	i	PRON
ejpam-5435	60	3	sin	sin	VERB
ejpam-5435	60	4	γ	γ	X
ejpam-5435	60	5	}	}	PUNCT
ejpam-5435	60	6	;	;	PUNCT
ejpam-5435	60	7	(	(	PUNCT
ejpam-5435	60	8	iii	iii	X
ejpam-5435	60	9	)	)	PUNCT
ejpam-5435	60	10	skγ	skγ	NOUN
ejpam-5435	61	1	[	[	X
ejpam-5435	61	2	α	α	X
ejpam-5435	61	3	,	,	PUNCT
ejpam-5435	61	4	β	β	X
ejpam-5435	61	5	;	;	PUNCT
ejpam-5435	61	6	1−	1−	NUM
ejpam-5435	61	7	2λ,−1	2λ,−1	NUM
ejpam-5435	61	8	]	]	X
ejpam-5435	62	1	=	=	PUNCT
ejpam-5435	62	2	skγ	skγ	X
ejpam-5435	62	3	(	(	PUNCT
ejpam-5435	62	4	α	α	NOUN
ejpam-5435	62	5	,	,	PUNCT
ejpam-5435	62	6	β;λ	β;λ	PUNCT
ejpam-5435	62	7	)	)	PUNCT
ejpam-5435	62	8	(	(	PUNCT
ejpam-5435	62	9	0	0	NUM
ejpam-5435	62	10	≤	≤	NUM
ejpam-5435	62	11	λ	λ	X
ejpam-5435	62	12	<	<	X
ejpam-5435	62	13	1	1	NUM
ejpam-5435	62	14	)	)	PUNCT
ejpam-5435	62	15	skγ	skγ	NOUN
ejpam-5435	62	16	(	(	PUNCT
ejpam-5435	62	17	α	α	NOUN
ejpam-5435	62	18	,	,	PUNCT
ejpam-5435	62	19	β;λ	β;λ	PUNCT
ejpam-5435	62	20	)	)	PUNCT
ejpam-5435	63	1	=	=	PRON
ejpam-5435	63	2	{	{	PUNCT
ejpam-5435	63	3	ψ	ψ	X
ejpam-5435	63	4	(	(	PUNCT
ejpam-5435	63	5	ξ	ξ	NOUN
ejpam-5435	63	6	)	)	PUNCT
ejpam-5435	63	7	∈	∈	PROPN
ejpam-5435	63	8	a	a	DET
ejpam-5435	63	9	:	:	PUNCT
ejpam-5435	63	10	ℜ	ℜ	ADJ
ejpam-5435	63	11	{	{	PUNCT
ejpam-5435	63	12	eiγ	eiγ	NOUN
ejpam-5435	63	13	[	[	PUNCT
ejpam-5435	63	14	(	(	PUNCT
ejpam-5435	63	15	α+	α+	X
ejpam-5435	63	16	β	β	NOUN
ejpam-5435	63	17	)	)	PUNCT
ejpam-5435	63	18	ξψ′	ξψ′	PROPN
ejpam-5435	63	19	(	(	PUNCT
ejpam-5435	63	20	ξ	ξ	NOUN
ejpam-5435	63	21	)	)	PUNCT
ejpam-5435	63	22	+	+	NUM
ejpam-5435	63	23	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	63	24	(	(	PUNCT
ejpam-5435	63	25	ξ	ξ	X
ejpam-5435	63	26	)	)	PUNCT
ejpam-5435	63	27	αψ	αψ	PROPN
ejpam-5435	63	28	(	(	PUNCT
ejpam-5435	63	29	ξ	ξ	NOUN
ejpam-5435	63	30	)	)	PUNCT
ejpam-5435	63	31	+	+	CCONJ
ejpam-5435	63	32	βξψ′	βξψ′	NUM
ejpam-5435	63	33	(	(	PUNCT
ejpam-5435	63	34	ξ	ξ	NOUN
ejpam-5435	63	35	)	)	PUNCT
ejpam-5435	63	36	]	]	PUNCT
ejpam-5435	63	37	}	}	PUNCT
ejpam-5435	63	38	>	>	PUNCT
ejpam-5435	63	39	λ	λ	X
ejpam-5435	63	40	cos	cos	PROPN
ejpam-5435	63	41	γ	γ	X
ejpam-5435	63	42	}	}	PUNCT
ejpam-5435	63	43	;	;	PUNCT
ejpam-5435	63	44	t.	t.	PROPN
ejpam-5435	63	45	m.	m.	NOUN
ejpam-5435	63	46	seoudy	seoudy	PROPN
ejpam-5435	63	47	/	/	SYM
ejpam-5435	63	48	eur	eur	PROPN
ejpam-5435	63	49	.	.	PUNCT
ejpam-5435	64	1	j.	j.	PROPN
ejpam-5435	64	2	pure	pure	PROPN
ejpam-5435	64	3	appl	appl	PROPN
ejpam-5435	64	4	.	.	PROPN
ejpam-5435	64	5	math	math	PROPN
ejpam-5435	64	6	,	,	PUNCT
ejpam-5435	64	7	17	17	NUM
ejpam-5435	64	8	(	(	PUNCT
ejpam-5435	64	9	4	4	NUM
ejpam-5435	64	10	)	)	PUNCT
ejpam-5435	64	11	(	(	PUNCT
ejpam-5435	64	12	2024	2024	NUM
ejpam-5435	64	13	)	)	PUNCT
ejpam-5435	64	14	,	,	PUNCT
ejpam-5435	64	15	3336	3336	NUM
ejpam-5435	64	16	-	-	SYM
ejpam-5435	64	17	3355	3355	NUM
ejpam-5435	64	18	3338	3338	NUM
ejpam-5435	64	19	(	(	PUNCT
ejpam-5435	64	20	iv	iv	X
ejpam-5435	64	21	)	)	PUNCT
ejpam-5435	64	22	skγ	skγ	PROPN
ejpam-5435	65	1	[	[	X
ejpam-5435	65	2	α	α	X
ejpam-5435	65	3	,	,	PUNCT
ejpam-5435	65	4	0	0	NUM
ejpam-5435	65	5	;	;	PUNCT
ejpam-5435	65	6	1−	1−	NUM
ejpam-5435	66	1	2λ,−1	2λ,−1	NUM
ejpam-5435	66	2	]	]	X
ejpam-5435	66	3	=	=	PUNCT
ejpam-5435	66	4	sγ	sγ	X
ejpam-5435	66	5	(	(	PUNCT
ejpam-5435	66	6	λ	λ	NOUN
ejpam-5435	66	7	)	)	PUNCT
ejpam-5435	66	8	(	(	PUNCT
ejpam-5435	66	9	0	0	NUM
ejpam-5435	66	10	≤	≤	NUM
ejpam-5435	66	11	λ	λ	X
ejpam-5435	66	12	<	<	X
ejpam-5435	66	13	1	1	NUM
ejpam-5435	66	14	)	)	PUNCT
ejpam-5435	66	15	(	(	PUNCT
ejpam-5435	66	16	see	see	VERB
ejpam-5435	66	17	[	[	X
ejpam-5435	66	18	12	12	NUM
ejpam-5435	66	19	]	]	PUNCT
ejpam-5435	66	20	and	and	CCONJ
ejpam-5435	66	21	[	[	X
ejpam-5435	66	22	11	11	NUM
ejpam-5435	66	23	]	]	PUNCT
ejpam-5435	66	24	)	)	PUNCT
ejpam-5435	66	25	sγ	sγ	PROPN
ejpam-5435	66	26	(	(	PUNCT
ejpam-5435	66	27	λ	λ	NOUN
ejpam-5435	66	28	)	)	PUNCT
ejpam-5435	66	29	=	=	SYM
ejpam-5435	66	30	{	{	PUNCT
ejpam-5435	66	31	ψ	ψ	X
ejpam-5435	66	32	(	(	PUNCT
ejpam-5435	66	33	ξ	ξ	NOUN
ejpam-5435	66	34	)	)	PUNCT
ejpam-5435	66	35	∈	∈	PROPN
ejpam-5435	66	36	a	a	DET
ejpam-5435	66	37	:	:	PUNCT
ejpam-5435	66	38	ℜ	ℜ	PROPN
ejpam-5435	66	39	[	[	PUNCT
ejpam-5435	66	40	eiγ	eiγ	NOUN
ejpam-5435	66	41	ξψ′	ξψ′	NOUN
ejpam-5435	66	42	(	(	PUNCT
ejpam-5435	66	43	ξ	ξ	NOUN
ejpam-5435	66	44	)	)	PUNCT
ejpam-5435	66	45	ψ	ψ	X
ejpam-5435	66	46	(	(	PUNCT
ejpam-5435	66	47	ξ	ξ	NOUN
ejpam-5435	66	48	)	)	PUNCT
ejpam-5435	66	49	]	]	PUNCT
ejpam-5435	66	50	>	>	PUNCT
ejpam-5435	66	51	λ	λ	X
ejpam-5435	66	52	cos	cos	PROPN
ejpam-5435	66	53	γ	γ	PROPN
ejpam-5435	66	54	}	}	PUNCT
ejpam-5435	66	55	;	;	PUNCT
ejpam-5435	66	56	(	(	PUNCT
ejpam-5435	66	57	v	v	NOUN
ejpam-5435	66	58	)	)	PUNCT
ejpam-5435	66	59	skγ	skγ	NOUN
ejpam-5435	67	1	[	[	X
ejpam-5435	67	2	α	α	X
ejpam-5435	67	3	,	,	PUNCT
ejpam-5435	67	4	0	0	NUM
ejpam-5435	67	5	;	;	PUNCT
ejpam-5435	67	6	1,−1	1,−1	NUM
ejpam-5435	67	7	]	]	X
ejpam-5435	67	8	=	=	SYM
ejpam-5435	67	9	s	s	X
ejpam-5435	67	10	(	(	PUNCT
ejpam-5435	67	11	γ	γ	X
ejpam-5435	67	12	)	)	PUNCT
ejpam-5435	67	13	(	(	PUNCT
ejpam-5435	67	14	see	see	VERB
ejpam-5435	67	15	[	[	X
ejpam-5435	67	16	23	23	NUM
ejpam-5435	67	17	]	]	SYM
ejpam-5435	67	18	)	)	PUNCT
ejpam-5435	67	19	s	s	PART
ejpam-5435	67	20	(	(	PUNCT
ejpam-5435	67	21	γ	γ	NOUN
ejpam-5435	67	22	)	)	PUNCT
ejpam-5435	67	23	=	=	SYM
ejpam-5435	67	24	{	{	PUNCT
ejpam-5435	67	25	ψ	ψ	X
ejpam-5435	67	26	(	(	PUNCT
ejpam-5435	67	27	ξ	ξ	NOUN
ejpam-5435	67	28	)	)	PUNCT
ejpam-5435	67	29	∈	∈	PROPN
ejpam-5435	67	30	a	a	DET
ejpam-5435	67	31	:	:	PUNCT
ejpam-5435	67	32	ℜ	ℜ	PROPN
ejpam-5435	67	33	[	[	PUNCT
ejpam-5435	67	34	eiγ	eiγ	NOUN
ejpam-5435	67	35	ξψ′	ξψ′	NOUN
ejpam-5435	67	36	(	(	PUNCT
ejpam-5435	67	37	ξ	ξ	NOUN
ejpam-5435	67	38	)	)	PUNCT
ejpam-5435	67	39	ψ	ψ	X
ejpam-5435	67	40	(	(	PUNCT
ejpam-5435	67	41	ξ	ξ	NOUN
ejpam-5435	67	42	)	)	PUNCT
ejpam-5435	67	43	]	]	PUNCT
ejpam-5435	68	1	>	>	X
ejpam-5435	68	2	0	0	NUM
ejpam-5435	68	3	}	}	PUNCT
ejpam-5435	68	4	;	;	PUNCT
ejpam-5435	68	5	(	(	PUNCT
ejpam-5435	68	6	vi	vi	NOUN
ejpam-5435	68	7	)	)	PUNCT
ejpam-5435	68	8	skγ	skγ	NOUN
ejpam-5435	69	1	[	[	X
ejpam-5435	69	2	0	0	NUM
ejpam-5435	69	3	,	,	PUNCT
ejpam-5435	69	4	β	β	X
ejpam-5435	69	5	;	;	PUNCT
ejpam-5435	70	1	1−	1−	NUM
ejpam-5435	70	2	2λ,−1	2λ,−1	NUM
ejpam-5435	70	3	]	]	X
ejpam-5435	71	1	=	=	PUNCT
ejpam-5435	71	2	kγ	kγ	PROPN
ejpam-5435	71	3	(	(	PUNCT
ejpam-5435	71	4	λ	λ	NOUN
ejpam-5435	71	5	)	)	PUNCT
ejpam-5435	71	6	(	(	PUNCT
ejpam-5435	71	7	0	0	NUM
ejpam-5435	71	8	≤	≤	NUM
ejpam-5435	71	9	λ	λ	X
ejpam-5435	71	10	<	<	X
ejpam-5435	71	11	1	1	NUM
ejpam-5435	71	12	)	)	PUNCT
ejpam-5435	71	13	(	(	PUNCT
ejpam-5435	71	14	see	see	VERB
ejpam-5435	71	15	[	[	X
ejpam-5435	71	16	12	12	NUM
ejpam-5435	71	17	]	]	PUNCT
ejpam-5435	71	18	and	and	CCONJ
ejpam-5435	71	19	[	[	X
ejpam-5435	71	20	11	11	NUM
ejpam-5435	71	21	]	]	SYM
ejpam-5435	71	22	)	)	PUNCT
ejpam-5435	71	23	kγ	kγ	PROPN
ejpam-5435	71	24	(	(	PUNCT
ejpam-5435	71	25	λ	λ	NOUN
ejpam-5435	71	26	)	)	PUNCT
ejpam-5435	71	27	=	=	SYM
ejpam-5435	71	28	{	{	PUNCT
ejpam-5435	71	29	ψ	ψ	X
ejpam-5435	71	30	(	(	PUNCT
ejpam-5435	71	31	ξ	ξ	NOUN
ejpam-5435	71	32	)	)	PUNCT
ejpam-5435	71	33	∈	∈	PROPN
ejpam-5435	71	34	a	a	DET
ejpam-5435	71	35	:	:	PUNCT
ejpam-5435	71	36	ℜ	ℜ	ADJ
ejpam-5435	71	37	{	{	PUNCT
ejpam-5435	71	38	eiγ	eiγ	NOUN
ejpam-5435	71	39	[	[	PUNCT
ejpam-5435	71	40	1	1	NUM
ejpam-5435	71	41	+	+	NUM
ejpam-5435	71	42	ξψ′′	ξψ′′	PROPN
ejpam-5435	71	43	(	(	PUNCT
ejpam-5435	71	44	ξ	ξ	NOUN
ejpam-5435	71	45	)	)	PUNCT
ejpam-5435	71	46	ψ′	ψ′	PUNCT
ejpam-5435	71	47	(	(	PUNCT
ejpam-5435	71	48	ξ	ξ	NOUN
ejpam-5435	71	49	)	)	PUNCT
ejpam-5435	71	50	]	]	PUNCT
ejpam-5435	71	51	}	}	PUNCT
ejpam-5435	71	52	>	>	PUNCT
ejpam-5435	72	1	λ	λ	X
ejpam-5435	72	2	cos	cos	PROPN
ejpam-5435	72	3	γ	γ	PROPN
ejpam-5435	72	4	}	}	PUNCT
ejpam-5435	72	5	;	;	PUNCT
ejpam-5435	72	6	(	(	PUNCT
ejpam-5435	72	7	vii	vii	PROPN
ejpam-5435	72	8	)	)	PUNCT
ejpam-5435	72	9	skγ	skγ	PROPN
ejpam-5435	73	1	[	[	X
ejpam-5435	73	2	0	0	NUM
ejpam-5435	73	3	,	,	PUNCT
ejpam-5435	73	4	β	β	X
ejpam-5435	73	5	;	;	PUNCT
ejpam-5435	73	6	1,−1	1,−1	NUM
ejpam-5435	73	7	]	]	X
ejpam-5435	73	8	=	=	SYM
ejpam-5435	73	9	k	k	X
ejpam-5435	73	10	(	(	PUNCT
ejpam-5435	73	11	γ	γ	X
ejpam-5435	73	12	)	)	PUNCT
ejpam-5435	73	13	(	(	PUNCT
ejpam-5435	73	14	see	see	VERB
ejpam-5435	73	15	[	[	X
ejpam-5435	73	16	23	23	NUM
ejpam-5435	73	17	]	]	SYM
ejpam-5435	73	18	)	)	PUNCT
ejpam-5435	74	1	k	k	PROPN
ejpam-5435	74	2	(	(	PUNCT
ejpam-5435	74	3	γ	γ	X
ejpam-5435	74	4	)	)	PUNCT
ejpam-5435	74	5	=	=	SYM
ejpam-5435	74	6	{	{	PUNCT
ejpam-5435	74	7	ψ	ψ	X
ejpam-5435	74	8	(	(	PUNCT
ejpam-5435	74	9	ξ	ξ	NOUN
ejpam-5435	74	10	)	)	PUNCT
ejpam-5435	74	11	∈	∈	PROPN
ejpam-5435	74	12	a	a	DET
ejpam-5435	74	13	:	:	PUNCT
ejpam-5435	74	14	ℜ	ℜ	ADJ
ejpam-5435	74	15	{	{	PUNCT
ejpam-5435	74	16	eiγ	eiγ	NOUN
ejpam-5435	74	17	[	[	PUNCT
ejpam-5435	74	18	1	1	NUM
ejpam-5435	74	19	+	+	NUM
ejpam-5435	74	20	ξψ′′	ξψ′′	PROPN
ejpam-5435	74	21	(	(	PUNCT
ejpam-5435	74	22	ξ	ξ	NOUN
ejpam-5435	74	23	)	)	PUNCT
ejpam-5435	74	24	ψ′	ψ′	PUNCT
ejpam-5435	74	25	(	(	PUNCT
ejpam-5435	74	26	ξ	ξ	NOUN
ejpam-5435	74	27	)	)	PUNCT
ejpam-5435	74	28	]	]	PUNCT
ejpam-5435	74	29	}	}	PUNCT
ejpam-5435	74	30	>	>	X
ejpam-5435	74	31	0	0	NUM
ejpam-5435	74	32	}	}	PUNCT
ejpam-5435	74	33	;	;	PUNCT
ejpam-5435	74	34	(	(	PUNCT
ejpam-5435	74	35	viii	viii	NOUN
ejpam-5435	74	36	)	)	PUNCT
ejpam-5435	74	37	sk0	sk0	PROPN
ejpam-5435	75	1	[	[	X
ejpam-5435	75	2	α	α	X
ejpam-5435	75	3	,	,	PUNCT
ejpam-5435	75	4	0;c	0;c	NUM
ejpam-5435	75	5	,	,	PUNCT
ejpam-5435	75	6	d	d	X
ejpam-5435	75	7	]	]	X
ejpam-5435	75	8	=	=	SYM
ejpam-5435	75	9	s	s	X
ejpam-5435	76	1	[	[	X
ejpam-5435	76	2	c	c	X
ejpam-5435	76	3	,	,	PUNCT
ejpam-5435	76	4	d	d	X
ejpam-5435	76	5	]	]	X
ejpam-5435	76	6	(	(	PUNCT
ejpam-5435	76	7	see	see	VERB
ejpam-5435	76	8	[	[	X
ejpam-5435	76	9	9	9	NUM
ejpam-5435	76	10	]	]	PUNCT
ejpam-5435	76	11	and	and	CCONJ
ejpam-5435	76	12	[	[	X
ejpam-5435	76	13	10	10	NUM
ejpam-5435	76	14	]	]	SYM
ejpam-5435	76	15	)	)	PUNCT
ejpam-5435	76	16	s	s	PART
ejpam-5435	77	1	[	[	X
ejpam-5435	77	2	c	c	X
ejpam-5435	77	3	,	,	PUNCT
ejpam-5435	77	4	d	d	X
ejpam-5435	77	5	]	]	X
ejpam-5435	77	6	=	=	SYM
ejpam-5435	77	7	{	{	PUNCT
ejpam-5435	77	8	ψ	ψ	X
ejpam-5435	77	9	(	(	PUNCT
ejpam-5435	77	10	ξ	ξ	NOUN
ejpam-5435	77	11	)	)	PUNCT
ejpam-5435	77	12	∈	∈	PROPN
ejpam-5435	77	13	a	a	DET
ejpam-5435	77	14	:	:	PUNCT
ejpam-5435	77	15	ξψ′	ξψ′	PROPN
ejpam-5435	77	16	(	(	PUNCT
ejpam-5435	77	17	ξ	ξ	NOUN
ejpam-5435	77	18	)	)	PUNCT
ejpam-5435	77	19	ψ	ψ	X
ejpam-5435	77	20	(	(	PUNCT
ejpam-5435	77	21	ξ	ξ	NOUN
ejpam-5435	77	22	)	)	PUNCT
ejpam-5435	77	23	≺	≺	NOUN
ejpam-5435	77	24	1	1	NUM
ejpam-5435	77	25	+	+	NUM
ejpam-5435	77	26	cξ	cξ	NOUN
ejpam-5435	77	27	1	1	NUM
ejpam-5435	78	1	+	+	NOUN
ejpam-5435	78	2	dξ	dξ	PROPN
ejpam-5435	78	3	}	}	PUNCT
ejpam-5435	78	4	;	;	PUNCT
ejpam-5435	78	5	(	(	PUNCT
ejpam-5435	78	6	ix	ix	X
ejpam-5435	78	7	)	)	PUNCT
ejpam-5435	78	8	sk0	sk0	PROPN
ejpam-5435	79	1	[	[	X
ejpam-5435	79	2	0	0	NUM
ejpam-5435	79	3	,	,	PUNCT
ejpam-5435	79	4	β;c	β;c	PRON
ejpam-5435	79	5	,	,	PUNCT
ejpam-5435	79	6	d	d	X
ejpam-5435	79	7	]	]	X
ejpam-5435	80	1	=	=	PUNCT
ejpam-5435	80	2	k	k	X
ejpam-5435	81	1	[	[	X
ejpam-5435	81	2	c	c	X
ejpam-5435	81	3	,	,	PUNCT
ejpam-5435	81	4	d	d	X
ejpam-5435	81	5	]	]	X
ejpam-5435	81	6	(	(	PUNCT
ejpam-5435	81	7	see	see	VERB
ejpam-5435	81	8	[	[	X
ejpam-5435	81	9	9	9	NUM
ejpam-5435	81	10	]	]	PUNCT
ejpam-5435	81	11	,	,	PUNCT
ejpam-5435	81	12	[	[	X
ejpam-5435	81	13	10	10	NUM
ejpam-5435	81	14	]	]	PUNCT
ejpam-5435	81	15	and	and	CCONJ
ejpam-5435	81	16	[	[	X
ejpam-5435	81	17	2	2	NUM
ejpam-5435	81	18	]	]	PUNCT
ejpam-5435	81	19	)	)	PUNCT
ejpam-5435	81	20	k	k	X
ejpam-5435	82	1	[	[	X
ejpam-5435	82	2	c	c	X
ejpam-5435	82	3	,	,	PUNCT
ejpam-5435	82	4	d	d	X
ejpam-5435	82	5	]	]	X
ejpam-5435	82	6	=	=	SYM
ejpam-5435	82	7	{	{	PUNCT
ejpam-5435	82	8	ψ	ψ	X
ejpam-5435	82	9	(	(	PUNCT
ejpam-5435	82	10	ξ	ξ	NOUN
ejpam-5435	82	11	)	)	PUNCT
ejpam-5435	82	12	∈	∈	PROPN
ejpam-5435	82	13	a	a	DET
ejpam-5435	82	14	:	:	SYM
ejpam-5435	82	15	1	1	NUM
ejpam-5435	82	16	+	+	NUM
ejpam-5435	82	17	ξψ′′	ξψ′′	PROPN
ejpam-5435	82	18	(	(	PUNCT
ejpam-5435	82	19	ξ	ξ	NOUN
ejpam-5435	82	20	)	)	PUNCT
ejpam-5435	82	21	ψ′	ψ′	PUNCT
ejpam-5435	82	22	(	(	PUNCT
ejpam-5435	82	23	ξ	ξ	NOUN
ejpam-5435	82	24	)	)	PUNCT
ejpam-5435	82	25	≺	≺	NOUN
ejpam-5435	82	26	1	1	NUM
ejpam-5435	82	27	+	+	NUM
ejpam-5435	82	28	cξ	cξ	NOUN
ejpam-5435	82	29	1	1	NUM
ejpam-5435	83	1	+	+	NOUN
ejpam-5435	83	2	dξ	dξ	PROPN
ejpam-5435	83	3	}	}	PUNCT
ejpam-5435	83	4	;	;	PUNCT
ejpam-5435	83	5	(	(	PUNCT
ejpam-5435	83	6	x	x	X
ejpam-5435	83	7	)	)	PUNCT
ejpam-5435	84	1	sk0	sk0	PROPN
ejpam-5435	85	1	[	[	X
ejpam-5435	85	2	α	α	X
ejpam-5435	85	3	,	,	PUNCT
ejpam-5435	85	4	β;c	β;c	PRON
ejpam-5435	85	5	,	,	PUNCT
ejpam-5435	85	6	d	d	X
ejpam-5435	85	7	]	]	X
ejpam-5435	85	8	=	=	SYM
ejpam-5435	85	9	sk	sk	X
ejpam-5435	86	1	[	[	X
ejpam-5435	86	2	α	α	X
ejpam-5435	86	3	,	,	PUNCT
ejpam-5435	86	4	β;c	β;c	PRON
ejpam-5435	86	5	,	,	PUNCT
ejpam-5435	86	6	d	d	X
ejpam-5435	86	7	]	]	X
ejpam-5435	86	8	sk	sk	X
ejpam-5435	86	9	[	[	X
ejpam-5435	86	10	α	α	X
ejpam-5435	86	11	,	,	PUNCT
ejpam-5435	86	12	β;c	β;c	PRON
ejpam-5435	86	13	,	,	PUNCT
ejpam-5435	86	14	d	d	X
ejpam-5435	86	15	]	]	X
ejpam-5435	86	16	=	=	SYM
ejpam-5435	86	17	{	{	PUNCT
ejpam-5435	86	18	ψ	ψ	X
ejpam-5435	86	19	(	(	PUNCT
ejpam-5435	86	20	ξ	ξ	NOUN
ejpam-5435	86	21	)	)	PUNCT
ejpam-5435	86	22	∈	∈	PROPN
ejpam-5435	86	23	a	a	PRON
ejpam-5435	86	24	:	:	PUNCT
ejpam-5435	86	25	(	(	PUNCT
ejpam-5435	86	26	α+	α+	X
ejpam-5435	86	27	β	β	NOUN
ejpam-5435	86	28	)	)	PUNCT
ejpam-5435	86	29	ξψ′	ξψ′	PROPN
ejpam-5435	86	30	(	(	PUNCT
ejpam-5435	86	31	ξ	ξ	NOUN
ejpam-5435	86	32	)	)	PUNCT
ejpam-5435	87	1	+	+	NUM
ejpam-5435	87	2	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	87	3	(	(	PUNCT
ejpam-5435	87	4	ξ	ξ	X
ejpam-5435	87	5	)	)	PUNCT
ejpam-5435	87	6	αψ	αψ	PROPN
ejpam-5435	87	7	(	(	PUNCT
ejpam-5435	87	8	ξ	ξ	NOUN
ejpam-5435	87	9	)	)	PUNCT
ejpam-5435	87	10	+	+	CCONJ
ejpam-5435	87	11	βξψ′	βξψ′	NUM
ejpam-5435	87	12	(	(	PUNCT
ejpam-5435	87	13	ξ	ξ	NOUN
ejpam-5435	87	14	)	)	PUNCT
ejpam-5435	87	15	≺	≺	NOUN
ejpam-5435	87	16	1	1	NUM
ejpam-5435	87	17	+	+	NUM
ejpam-5435	87	18	cξ	cξ	NOUN
ejpam-5435	87	19	1	1	NUM
ejpam-5435	88	1	+	+	NOUN
ejpam-5435	88	2	dξ	dξ	PROPN
ejpam-5435	88	3	}	}	PUNCT
ejpam-5435	88	4	;	;	PUNCT
ejpam-5435	88	5	(	(	PUNCT
ejpam-5435	88	6	xi	xi	X
ejpam-5435	88	7	)	)	PUNCT
ejpam-5435	88	8	sk0	sk0	PROPN
ejpam-5435	89	1	[	[	X
ejpam-5435	89	2	α	α	X
ejpam-5435	89	3	,	,	PUNCT
ejpam-5435	89	4	β	β	X
ejpam-5435	89	5	;	;	PUNCT
ejpam-5435	90	1	1−	1−	NUM
ejpam-5435	90	2	2λ,−1	2λ,−1	NUM
ejpam-5435	90	3	]	]	X
ejpam-5435	91	1	=	=	PRON
ejpam-5435	91	2	sk	sk	X
ejpam-5435	91	3	(	(	PUNCT
ejpam-5435	91	4	α	α	NOUN
ejpam-5435	91	5	,	,	PUNCT
ejpam-5435	91	6	β;λ	β;λ	PUNCT
ejpam-5435	91	7	)	)	PUNCT
ejpam-5435	91	8	(	(	PUNCT
ejpam-5435	91	9	0	0	NUM
ejpam-5435	91	10	≤	≤	NUM
ejpam-5435	91	11	λ	λ	X
ejpam-5435	91	12	<	<	X
ejpam-5435	91	13	1	1	NUM
ejpam-5435	91	14	)	)	PUNCT
ejpam-5435	91	15	sk	sk	NOUN
ejpam-5435	91	16	(	(	PUNCT
ejpam-5435	91	17	α	α	NOUN
ejpam-5435	91	18	,	,	PUNCT
ejpam-5435	91	19	β;λ	β;λ	PUNCT
ejpam-5435	91	20	)	)	PUNCT
ejpam-5435	92	1	=	=	PRON
ejpam-5435	92	2	{	{	PUNCT
ejpam-5435	92	3	ψ	ψ	X
ejpam-5435	92	4	(	(	PUNCT
ejpam-5435	92	5	ξ	ξ	NOUN
ejpam-5435	92	6	)	)	PUNCT
ejpam-5435	92	7	∈	∈	PROPN
ejpam-5435	92	8	a	a	DET
ejpam-5435	92	9	:	:	PUNCT
ejpam-5435	92	10	ℜ	ℜ	X
ejpam-5435	92	11	(	(	PUNCT
ejpam-5435	92	12	(	(	PUNCT
ejpam-5435	92	13	α+	α+	X
ejpam-5435	92	14	β	β	NOUN
ejpam-5435	92	15	)	)	PUNCT
ejpam-5435	92	16	ξψ′	ξψ′	PROPN
ejpam-5435	92	17	(	(	PUNCT
ejpam-5435	92	18	ξ	ξ	NOUN
ejpam-5435	92	19	)	)	PUNCT
ejpam-5435	92	20	+	+	NUM
ejpam-5435	92	21	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	92	22	(	(	PUNCT
ejpam-5435	92	23	ξ	ξ	X
ejpam-5435	92	24	)	)	PUNCT
ejpam-5435	92	25	αψ	αψ	PROPN
ejpam-5435	92	26	(	(	PUNCT
ejpam-5435	92	27	ξ	ξ	NOUN
ejpam-5435	92	28	)	)	PUNCT
ejpam-5435	92	29	+	+	CCONJ
ejpam-5435	92	30	βξψ′	βξψ′	NUM
ejpam-5435	92	31	(	(	PUNCT
ejpam-5435	92	32	ξ	ξ	NOUN
ejpam-5435	92	33	)	)	PUNCT
ejpam-5435	92	34	)	)	PUNCT
ejpam-5435	92	35	>	>	PUNCT
ejpam-5435	93	1	λ	λ	X
ejpam-5435	93	2	}	}	PUNCT
ejpam-5435	93	3	,	,	PUNCT
ejpam-5435	93	4	sk	sk	INTJ
ejpam-5435	93	5	(	(	PUNCT
ejpam-5435	93	6	α	α	NOUN
ejpam-5435	93	7	,	,	PUNCT
ejpam-5435	93	8	0;λ	0;λ	NUM
ejpam-5435	93	9	)	)	PUNCT
ejpam-5435	93	10	=	=	SYM
ejpam-5435	93	11	s	s	X
ejpam-5435	93	12	(	(	PUNCT
ejpam-5435	93	13	λ	λ	NOUN
ejpam-5435	93	14	)	)	PUNCT
ejpam-5435	93	15	and	and	CCONJ
ejpam-5435	93	16	sk	sk	INTJ
ejpam-5435	93	17	(	(	PUNCT
ejpam-5435	93	18	α	α	NOUN
ejpam-5435	93	19	,	,	PUNCT
ejpam-5435	93	20	β;λ	β;λ	PUNCT
ejpam-5435	93	21	)	)	PUNCT
ejpam-5435	94	1	=	=	SYM
ejpam-5435	94	2	k	k	PROPN
ejpam-5435	94	3	(	(	PUNCT
ejpam-5435	94	4	λ	λ	X
ejpam-5435	94	5	)	)	PUNCT
ejpam-5435	94	6	(	(	PUNCT
ejpam-5435	94	7	see	see	VERB
ejpam-5435	94	8	[	[	X
ejpam-5435	94	9	17	17	NUM
ejpam-5435	94	10	]	]	NUM
ejpam-5435	94	11	)	)	PUNCT
ejpam-5435	94	12	;	;	PUNCT
ejpam-5435	94	13	(	(	PUNCT
ejpam-5435	94	14	xii	xii	NOUN
ejpam-5435	94	15	)	)	PUNCT
ejpam-5435	94	16	sk0	sk0	PROPN
ejpam-5435	95	1	[	[	X
ejpam-5435	95	2	α	α	X
ejpam-5435	95	3	,	,	PUNCT
ejpam-5435	95	4	β	β	X
ejpam-5435	95	5	;	;	PUNCT
ejpam-5435	95	6	(	(	PUNCT
ejpam-5435	95	7	1−	1−	NUM
ejpam-5435	95	8	2λ	2λ	NOUN
ejpam-5435	95	9	)	)	PUNCT
ejpam-5435	95	10	η,−η	η,−η	NOUN
ejpam-5435	95	11	]	]	PUNCT
ejpam-5435	95	12	=	=	PUNCT
ejpam-5435	95	13	sk	sk	X
ejpam-5435	95	14	(	(	PUNCT
ejpam-5435	95	15	α	α	NOUN
ejpam-5435	95	16	,	,	PUNCT
ejpam-5435	95	17	β;λ	β;λ	PROPN
ejpam-5435	95	18	,	,	PUNCT
ejpam-5435	95	19	η	η	PROPN
ejpam-5435	95	20	)	)	PUNCT
ejpam-5435	95	21	(	(	PUNCT
ejpam-5435	95	22	0	0	NUM
ejpam-5435	95	23	≤	≤	NUM
ejpam-5435	95	24	λ	λ	X
ejpam-5435	95	25	<	<	X
ejpam-5435	95	26	1	1	NUM
ejpam-5435	95	27	,	,	PUNCT
ejpam-5435	95	28	0	0	NUM
ejpam-5435	95	29	<	<	X
ejpam-5435	95	30	η	η	PROPN
ejpam-5435	95	31	≤	≤	PROPN
ejpam-5435	95	32	1	1	NUM
ejpam-5435	95	33	)	)	PUNCT
ejpam-5435	95	34	sk	sk	NOUN
ejpam-5435	95	35	(	(	PUNCT
ejpam-5435	95	36	α	α	NOUN
ejpam-5435	95	37	,	,	PUNCT
ejpam-5435	95	38	β;λ	β;λ	PROPN
ejpam-5435	95	39	,	,	PUNCT
ejpam-5435	95	40	η	η	PROPN
ejpam-5435	95	41	)	)	PUNCT
ejpam-5435	95	42	=	=	SYM
ejpam-5435	96	1	ψ	ψ	X
ejpam-5435	96	2	(	(	PUNCT
ejpam-5435	96	3	ξ	ξ	X
ejpam-5435	96	4	)	)	PUNCT
ejpam-5435	96	5	∈	∈	PROPN
ejpam-5435	96	6	a	a	DET
ejpam-5435	96	7	:	:	PUNCT
ejpam-5435	96	8	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-5435	96	9	(	(	PUNCT
ejpam-5435	96	10	α+β)ξψ′(ξ)+βξ2ψ′′(ξ	α+β)ξψ′(ξ)+βξ2ψ′′(ξ	NOUN
ejpam-5435	96	11	)	)	PUNCT
ejpam-5435	96	12	αψ(ξ)+βξψ′(ξ	αψ(ξ)+βξψ′(ξ	NOUN
ejpam-5435	96	13	)	)	PUNCT
ejpam-5435	96	14	−	−	PROPN
ejpam-5435	96	15	1	1	NUM
ejpam-5435	96	16	(	(	PUNCT
ejpam-5435	96	17	α+β)ξψ′(ξ)+βξ2ψ′′(ξ	α+β)ξψ′(ξ)+βξ2ψ′′(ξ	NOUN
ejpam-5435	96	18	)	)	PUNCT
ejpam-5435	96	19	αψ(ξ)+βξψ′(ξ	αψ(ξ)+βξψ′(ξ	NOUN
ejpam-5435	96	20	)	)	PUNCT
ejpam-5435	97	1	+	+	NUM
ejpam-5435	97	2	1−	1−	NUM
ejpam-5435	97	3	2λ	2λ	NUM
ejpam-5435	97	4	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-5435	97	5	<	<	X
ejpam-5435	97	6	η	η	X
ejpam-5435	97	7			PROPN
ejpam-5435	97	8	,	,	PUNCT
ejpam-5435	97	9	sk	sk	INTJ
ejpam-5435	97	10	(	(	PUNCT
ejpam-5435	97	11	α	α	NOUN
ejpam-5435	97	12	,	,	PUNCT
ejpam-5435	97	13	0;λ	0;λ	NUM
ejpam-5435	97	14	,	,	PUNCT
ejpam-5435	97	15	η	η	NOUN
ejpam-5435	97	16	)	)	PUNCT
ejpam-5435	97	17	=	=	SYM
ejpam-5435	97	18	s	s	X
ejpam-5435	97	19	(	(	PUNCT
ejpam-5435	97	20	λ	λ	PROPN
ejpam-5435	97	21	,	,	PUNCT
ejpam-5435	97	22	η	η	NOUN
ejpam-5435	97	23	)	)	PUNCT
ejpam-5435	97	24	and	and	CCONJ
ejpam-5435	97	25	sk	sk	INTJ
ejpam-5435	97	26	(	(	PUNCT
ejpam-5435	97	27	α	α	NOUN
ejpam-5435	97	28	,	,	PUNCT
ejpam-5435	97	29	β;λ	β;λ	PROPN
ejpam-5435	97	30	,	,	PUNCT
ejpam-5435	97	31	η	η	PROPN
ejpam-5435	97	32	)	)	PUNCT
ejpam-5435	98	1	=	=	SYM
ejpam-5435	98	2	k	k	PROPN
ejpam-5435	98	3	(	(	PUNCT
ejpam-5435	98	4	λ	λ	PROPN
ejpam-5435	98	5	,	,	PUNCT
ejpam-5435	98	6	η	η	NOUN
ejpam-5435	98	7	)	)	PUNCT
ejpam-5435	98	8	(	(	PUNCT
ejpam-5435	98	9	see	see	VERB
ejpam-5435	98	10	[	[	X
ejpam-5435	98	11	8	8	NUM
ejpam-5435	98	12	]	]	NUM
ejpam-5435	98	13	)	)	PUNCT
ejpam-5435	98	14	.	.	PUNCT
ejpam-5435	99	1	t.	t.	PROPN
ejpam-5435	99	2	m.	m.	PROPN
ejpam-5435	99	3	seoudy	seoudy	PROPN
ejpam-5435	99	4	/	/	SYM
ejpam-5435	99	5	eur	eur	PROPN
ejpam-5435	99	6	.	.	PUNCT
ejpam-5435	100	1	j.	j.	PROPN
ejpam-5435	100	2	pure	pure	PROPN
ejpam-5435	100	3	appl	appl	PROPN
ejpam-5435	100	4	.	.	PROPN
ejpam-5435	100	5	math	math	PROPN
ejpam-5435	100	6	,	,	PUNCT
ejpam-5435	100	7	17	17	NUM
ejpam-5435	100	8	(	(	PUNCT
ejpam-5435	100	9	4	4	NUM
ejpam-5435	100	10	)	)	PUNCT
ejpam-5435	100	11	(	(	PUNCT
ejpam-5435	100	12	2024	2024	NUM
ejpam-5435	100	13	)	)	PUNCT
ejpam-5435	100	14	,	,	PUNCT
ejpam-5435	100	15	3336	3336	NUM
ejpam-5435	100	16	-	-	SYM
ejpam-5435	100	17	3355	3355	NUM
ejpam-5435	100	18	3339	3339	NUM
ejpam-5435	100	19	the	the	DET
ejpam-5435	100	20	aim	aim	NOUN
ejpam-5435	100	21	of	of	ADP
ejpam-5435	100	22	the	the	DET
ejpam-5435	100	23	present	present	ADJ
ejpam-5435	100	24	investigation	investigation	NOUN
ejpam-5435	100	25	is	be	AUX
ejpam-5435	100	26	to	to	PART
ejpam-5435	100	27	define	define	VERB
ejpam-5435	100	28	a	a	DET
ejpam-5435	100	29	general	general	ADJ
ejpam-5435	100	30	subfamily	subfamily	NOUN
ejpam-5435	100	31	skγ	skγ	ADP
ejpam-5435	101	1	[	[	X
ejpam-5435	101	2	α	α	X
ejpam-5435	101	3	,	,	PUNCT
ejpam-5435	101	4	β;c	β;c	PRON
ejpam-5435	101	5	,	,	PUNCT
ejpam-5435	101	6	d	d	X
ejpam-5435	101	7	]	]	PUNCT
ejpam-5435	101	8	of	of	ADP
ejpam-5435	101	9	spirallike	spirallike	NOUN
ejpam-5435	101	10	and	and	CCONJ
ejpam-5435	101	11	robertson	robertson	PROPN
ejpam-5435	101	12	functions	function	NOUN
ejpam-5435	101	13	.	.	PUNCT
ejpam-5435	102	1	we	we	PRON
ejpam-5435	102	2	then	then	ADV
ejpam-5435	102	3	investigate	investigate	VERB
ejpam-5435	102	4	some	some	DET
ejpam-5435	102	5	convolution	convolution	NOUN
ejpam-5435	102	6	properties	property	NOUN
ejpam-5435	102	7	,	,	PUNCT
ejpam-5435	102	8	membership	membership	NOUN
ejpam-5435	102	9	characterizations	characterization	NOUN
ejpam-5435	102	10	,	,	PUNCT
ejpam-5435	102	11	coefficient	coefficient	NOUN
ejpam-5435	102	12	estimates	estimate	NOUN
ejpam-5435	102	13	and	and	CCONJ
ejpam-5435	102	14	subordination	subordination	NOUN
ejpam-5435	102	15	result	result	VERB
ejpam-5435	102	16	for	for	ADP
ejpam-5435	102	17	this	this	DET
ejpam-5435	102	18	subfamily	subfamily	NOUN
ejpam-5435	102	19	.	.	PUNCT
ejpam-5435	103	1	furthermore	furthermore	ADV
ejpam-5435	103	2	,	,	PUNCT
ejpam-5435	103	3	fekete	fekete	PROPN
ejpam-5435	103	4	-	-	PUNCT
ejpam-5435	103	5	szegö	szegö	VERB
ejpam-5435	103	6	problems	problem	NOUN
ejpam-5435	103	7	and	and	CCONJ
ejpam-5435	103	8	several	several	ADJ
ejpam-5435	103	9	inequalities	inequality	NOUN
ejpam-5435	103	10	are	be	AUX
ejpam-5435	103	11	studied	study	VERB
ejpam-5435	103	12	.	.	PUNCT
ejpam-5435	104	1	various	various	ADJ
ejpam-5435	104	2	corollaries	corollary	NOUN
ejpam-5435	104	3	and	and	CCONJ
ejpam-5435	104	4	consequences	consequence	NOUN
ejpam-5435	104	5	of	of	ADP
ejpam-5435	104	6	most	most	ADJ
ejpam-5435	104	7	of	of	ADP
ejpam-5435	104	8	our	our	PRON
ejpam-5435	104	9	outcomes	outcome	NOUN
ejpam-5435	104	10	are	be	AUX
ejpam-5435	104	11	connected	connect	VERB
ejpam-5435	104	12	with	with	ADP
ejpam-5435	104	13	earlier	early	ADJ
ejpam-5435	104	14	outcomes	outcome	NOUN
ejpam-5435	104	15	related	relate	VERB
ejpam-5435	104	16	to	to	ADP
ejpam-5435	104	17	the	the	DET
ejpam-5435	104	18	field	field	NOUN
ejpam-5435	104	19	of	of	ADP
ejpam-5435	104	20	investigation	investigation	NOUN
ejpam-5435	104	21	here	here	ADV
ejpam-5435	104	22	.	.	PUNCT
ejpam-5435	105	1	2	2	X
ejpam-5435	105	2	.	.	X
ejpam-5435	105	3	convolution	convolution	NOUN
ejpam-5435	105	4	properties	property	NOUN
ejpam-5435	105	5	we	we	PRON
ejpam-5435	105	6	suppose	suppose	VERB
ejpam-5435	105	7	throughout	throughout	ADP
ejpam-5435	105	8	this	this	DET
ejpam-5435	105	9	paper	paper	NOUN
ejpam-5435	105	10	that	that	PRON
ejpam-5435	105	11	α	α	X
ejpam-5435	105	12	,	,	PUNCT
ejpam-5435	105	13	β	β	X
ejpam-5435	105	14	≥	≥	NOUN
ejpam-5435	105	15	0	0	NUM
ejpam-5435	105	16	,	,	PUNCT
ejpam-5435	105	17	|χ|	|χ|	NOUN
ejpam-5435	105	18	=	=	NOUN
ejpam-5435	105	19	1	1	NUM
ejpam-5435	105	20	,	,	PUNCT
ejpam-5435	105	21	−1	−1	NOUN
ejpam-5435	105	22	≤	≤	PUNCT
ejpam-5435	106	1	d	d	ADP
ejpam-5435	106	2	<	<	X
ejpam-5435	106	3	c	c	X
ejpam-5435	106	4	≤	≤	NUM
ejpam-5435	106	5	1	1	NUM
ejpam-5435	106	6	,	,	PUNCT
ejpam-5435	106	7	|γ|	|γ|	ADV
ejpam-5435	106	8	<	<	X
ejpam-5435	106	9	π	π	PROPN
ejpam-5435	106	10	2	2	NUM
ejpam-5435	106	11	,	,	PUNCT
ejpam-5435	106	12	ξ	ξ	PROPN
ejpam-5435	106	13	∈	∈	PROPN
ejpam-5435	106	14	u	u	NOUN
ejpam-5435	106	15	and	and	CCONJ
ejpam-5435	106	16	ψ	ψ	X
ejpam-5435	106	17	(	(	PUNCT
ejpam-5435	106	18	ξ	ξ	NOUN
ejpam-5435	106	19	)	)	PUNCT
ejpam-5435	106	20	∈	∈	PROPN
ejpam-5435	106	21	a	a	PRON
ejpam-5435	106	22	given	give	VERB
ejpam-5435	106	23	by	by	ADP
ejpam-5435	106	24	(	(	PUNCT
ejpam-5435	106	25	1	1	NUM
ejpam-5435	106	26	)	)	PUNCT
ejpam-5435	106	27	.	.	PUNCT
ejpam-5435	107	1	theorem	theorem	NOUN
ejpam-5435	107	2	1	1	NUM
ejpam-5435	107	3	.	.	PUNCT
ejpam-5435	107	4	ψ	ψ	X
ejpam-5435	107	5	(	(	PUNCT
ejpam-5435	107	6	ξ	ξ	NOUN
ejpam-5435	107	7	)	)	PUNCT
ejpam-5435	107	8	∈	∈	PROPN
ejpam-5435	108	1	skγ	skγ	PUNCT
ejpam-5435	109	1	[	[	X
ejpam-5435	109	2	α	α	X
ejpam-5435	109	3	,	,	PUNCT
ejpam-5435	109	4	β;c	β;c	PRON
ejpam-5435	109	5	,	,	PUNCT
ejpam-5435	109	6	d	d	X
ejpam-5435	109	7	]	]	X
ejpam-5435	109	8	if	if	SCONJ
ejpam-5435	109	9	and	and	CCONJ
ejpam-5435	109	10	only	only	ADV
ejpam-5435	109	11	if	if	SCONJ
ejpam-5435	109	12	1	1	NUM
ejpam-5435	109	13	ξ	ξ	X
ejpam-5435	109	14	ψ	ψ	PROPN
ejpam-5435	109	15	(	(	PUNCT
ejpam-5435	109	16	ξ	ξ	NOUN
ejpam-5435	109	17	)	)	PUNCT
ejpam-5435	109	18	∗	∗	NOUN
ejpam-5435	110	1	ξ	ξ	X
ejpam-5435	110	2	−	−	PROPN
ejpam-5435	110	3	(	(	PUNCT
ejpam-5435	110	4	α−β	α−β	PROPN
ejpam-5435	110	5	α+β	α+β	NUM
ejpam-5435	111	1	+	+	CCONJ
ejpam-5435	111	2	α+2β	α+2β	PROPN
ejpam-5435	111	3	α+β	α+β	NUM
ejpam-5435	111	4	λ	λ	PROPN
ejpam-5435	111	5	)	)	PUNCT
ejpam-5435	111	6	ξ2	ξ2	NOUN
ejpam-5435	112	1	+	+	CCONJ
ejpam-5435	112	2	α	α	PROPN
ejpam-5435	112	3	α+βλξ	α+βλξ	NUM
ejpam-5435	112	4	3	3	NUM
ejpam-5435	112	5	(	(	PUNCT
ejpam-5435	112	6	1−	1−	NUM
ejpam-5435	112	7	ξ)3	ξ)3	NOUN
ejpam-5435	112	8			VERB
ejpam-5435	112	9	̸=	̸=	PROPN
ejpam-5435	112	10	0	0	NUM
ejpam-5435	112	11	,	,	PUNCT
ejpam-5435	112	12	(	(	PUNCT
ejpam-5435	112	13	6	6	NUM
ejpam-5435	112	14	)	)	PUNCT
ejpam-5435	112	15	where	where	SCONJ
ejpam-5435	112	16	λ	λ	PROPN
ejpam-5435	112	17	is	be	AUX
ejpam-5435	112	18	given	give	VERB
ejpam-5435	112	19	by	by	ADP
ejpam-5435	112	20	λ	λ	PROPN
ejpam-5435	112	21	=	=	SYM
ejpam-5435	112	22	λ	λ	PROPN
ejpam-5435	112	23	(	(	PUNCT
ejpam-5435	112	24	χ	χ	NOUN
ejpam-5435	112	25	,	,	PUNCT
ejpam-5435	112	26	γ	γ	X
ejpam-5435	112	27	,	,	PUNCT
ejpam-5435	112	28	c	c	X
ejpam-5435	112	29	,	,	PUNCT
ejpam-5435	112	30	d	d	NOUN
ejpam-5435	112	31	)	)	PUNCT
ejpam-5435	112	32	=	=	SYM
ejpam-5435	113	1	(	(	PUNCT
ejpam-5435	113	2	1	1	NUM
ejpam-5435	113	3	+	+	NOUN
ejpam-5435	113	4	dχ	dχ	NOUN
ejpam-5435	113	5	)	)	PUNCT
ejpam-5435	113	6	eiγ	eiγ	NOUN
ejpam-5435	113	7	+	+	CCONJ
ejpam-5435	113	8	(	(	PUNCT
ejpam-5435	113	9	c	c	PROPN
ejpam-5435	113	10	−d	−d	PROPN
ejpam-5435	113	11	)	)	PUNCT
ejpam-5435	114	1	cos	cos	ADP
ejpam-5435	114	2	γχ	γχ	PROPN
ejpam-5435	114	3	(	(	PUNCT
ejpam-5435	114	4	c	c	PROPN
ejpam-5435	114	5	−d	−d	PROPN
ejpam-5435	114	6	)	)	PUNCT
ejpam-5435	115	1	cos	cos	PROPN
ejpam-5435	115	2	γχ	γχ	PROPN
ejpam-5435	115	3	.	.	PUNCT
ejpam-5435	116	1	(	(	PUNCT
ejpam-5435	116	2	7	7	X
ejpam-5435	116	3	)	)	PUNCT
ejpam-5435	116	4	proof	proof	NOUN
ejpam-5435	116	5	.	.	PUNCT
ejpam-5435	117	1	if	if	SCONJ
ejpam-5435	117	2	ψ	ψ	X
ejpam-5435	117	3	(	(	PUNCT
ejpam-5435	117	4	ξ	ξ	NOUN
ejpam-5435	117	5	)	)	PUNCT
ejpam-5435	117	6	∈	∈	PROPN
ejpam-5435	117	7	skγ	skγ	PUNCT
ejpam-5435	118	1	[	[	X
ejpam-5435	118	2	α	α	X
ejpam-5435	118	3	,	,	PUNCT
ejpam-5435	118	4	β;c	β;c	PRON
ejpam-5435	118	5	,	,	PUNCT
ejpam-5435	118	6	d	d	X
ejpam-5435	118	7	]	]	X
ejpam-5435	118	8	,	,	PUNCT
ejpam-5435	118	9	then	then	ADV
ejpam-5435	118	10	there	there	PRON
ejpam-5435	118	11	is	be	VERB
ejpam-5435	118	12	a	a	DET
ejpam-5435	118	13	function	function	NOUN
ejpam-5435	118	14	ω	ω	X
ejpam-5435	118	15	(	(	PUNCT
ejpam-5435	118	16	ξ	ξ	NOUN
ejpam-5435	118	17	)	)	PUNCT
ejpam-5435	118	18	∈	∈	NOUN
ejpam-5435	118	19	ω	ω	NUM
ejpam-5435	118	20	such	such	ADJ
ejpam-5435	118	21	that	that	DET
ejpam-5435	118	22	eiγ	eiγ	NOUN
ejpam-5435	118	23	[	[	PUNCT
ejpam-5435	118	24	(	(	PUNCT
ejpam-5435	118	25	α+	α+	X
ejpam-5435	118	26	β	β	NOUN
ejpam-5435	118	27	)	)	PUNCT
ejpam-5435	118	28	ξψ′	ξψ′	PROPN
ejpam-5435	118	29	(	(	PUNCT
ejpam-5435	118	30	ξ	ξ	NOUN
ejpam-5435	118	31	)	)	PUNCT
ejpam-5435	118	32	+	+	NUM
ejpam-5435	118	33	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	118	34	(	(	PUNCT
ejpam-5435	118	35	ξ	ξ	X
ejpam-5435	118	36	)	)	PUNCT
ejpam-5435	118	37	αψ	αψ	PROPN
ejpam-5435	118	38	(	(	PUNCT
ejpam-5435	118	39	ξ	ξ	NOUN
ejpam-5435	118	40	)	)	PUNCT
ejpam-5435	119	1	+	+	CCONJ
ejpam-5435	119	2	βξψ′	βξψ′	NUM
ejpam-5435	119	3	(	(	PUNCT
ejpam-5435	119	4	ξ	ξ	NOUN
ejpam-5435	119	5	)	)	PUNCT
ejpam-5435	119	6	]	]	PUNCT
ejpam-5435	120	1	=	=	PUNCT
ejpam-5435	120	2	cos	cos	ADP
ejpam-5435	120	3	γ	γ	X
ejpam-5435	120	4	(	(	PUNCT
ejpam-5435	120	5	1	1	NUM
ejpam-5435	120	6	+	+	CCONJ
ejpam-5435	120	7	cω	cω	ADJ
ejpam-5435	120	8	(	(	PUNCT
ejpam-5435	120	9	ξ	ξ	NOUN
ejpam-5435	120	10	)	)	PUNCT
ejpam-5435	120	11	1	1	NUM
ejpam-5435	121	1	+	+	ADP
ejpam-5435	121	2	dω	dω	ADJ
ejpam-5435	121	3	(	(	PUNCT
ejpam-5435	121	4	ξ	ξ	NOUN
ejpam-5435	121	5	)	)	PUNCT
ejpam-5435	121	6	)	)	PUNCT
ejpam-5435	122	1	+	+	CCONJ
ejpam-5435	122	2	i	i	PRON
ejpam-5435	122	3	sin	sin	VERB
ejpam-5435	122	4	γ	γ	PROPN
ejpam-5435	122	5	,	,	PUNCT
ejpam-5435	122	6	(	(	PUNCT
ejpam-5435	122	7	8)	8)	NOUN
ejpam-5435	122	8	hence	hence	ADV
ejpam-5435	122	9	eiγ	eiγ	NOUN
ejpam-5435	122	10	[	[	PUNCT
ejpam-5435	122	11	(	(	PUNCT
ejpam-5435	122	12	α+	α+	X
ejpam-5435	122	13	β	β	NOUN
ejpam-5435	122	14	)	)	PUNCT
ejpam-5435	122	15	ξψ′	ξψ′	PROPN
ejpam-5435	122	16	(	(	PUNCT
ejpam-5435	122	17	ξ	ξ	NOUN
ejpam-5435	122	18	)	)	PUNCT
ejpam-5435	122	19	+	+	NUM
ejpam-5435	122	20	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	122	21	(	(	PUNCT
ejpam-5435	122	22	ξ	ξ	X
ejpam-5435	122	23	)	)	PUNCT
ejpam-5435	122	24	αψ	αψ	PROPN
ejpam-5435	122	25	(	(	PUNCT
ejpam-5435	122	26	ξ	ξ	NOUN
ejpam-5435	122	27	)	)	PUNCT
ejpam-5435	122	28	+	+	CCONJ
ejpam-5435	122	29	βξψ′	βξψ′	NUM
ejpam-5435	122	30	(	(	PUNCT
ejpam-5435	122	31	ξ	ξ	NOUN
ejpam-5435	122	32	)	)	PUNCT
ejpam-5435	122	33	]	]	PUNCT
ejpam-5435	123	1	̸=	̸=	PROPN
ejpam-5435	123	2	cos	cos	ADP
ejpam-5435	123	3	γ	γ	X
ejpam-5435	123	4	(	(	PUNCT
ejpam-5435	123	5	1	1	NUM
ejpam-5435	123	6	+	+	CCONJ
ejpam-5435	123	7	cχ	cχ	PROPN
ejpam-5435	123	8	1	1	NUM
ejpam-5435	123	9	+	+	NOUN
ejpam-5435	123	10	dχ	dχ	NOUN
ejpam-5435	123	11	)	)	PUNCT
ejpam-5435	124	1	+	+	CCONJ
ejpam-5435	124	2	i	i	PRON
ejpam-5435	124	3	sin	sin	VERB
ejpam-5435	124	4	γ	γ	X
ejpam-5435	124	5	(	(	PUNCT
ejpam-5435	124	6	|χ|	|χ|	NOUN
ejpam-5435	124	7	=	=	NOUN
ejpam-5435	124	8	1	1	NUM
ejpam-5435	124	9	)	)	PUNCT
ejpam-5435	124	10	,	,	PUNCT
ejpam-5435	124	11	which	which	PRON
ejpam-5435	124	12	is	be	AUX
ejpam-5435	124	13	equivalent	equivalent	ADJ
ejpam-5435	124	14	to	to	ADP
ejpam-5435	124	15	1	1	NUM
ejpam-5435	124	16	ξ	ξ	PROPN
ejpam-5435	124	17	{	{	PUNCT
ejpam-5435	124	18	(	(	PUNCT
ejpam-5435	124	19	1	1	NUM
ejpam-5435	124	20	+	+	NOUN
ejpam-5435	124	21	dχ	dχ	NOUN
ejpam-5435	124	22	)	)	PUNCT
ejpam-5435	124	23	eiγ	eiγ	NOUN
ejpam-5435	124	24	[	[	PUNCT
ejpam-5435	124	25	(	(	PUNCT
ejpam-5435	124	26	α+	α+	X
ejpam-5435	124	27	β	β	NOUN
ejpam-5435	124	28	)	)	PUNCT
ejpam-5435	124	29	ξψ′	ξψ′	PROPN
ejpam-5435	124	30	(	(	PUNCT
ejpam-5435	124	31	ξ	ξ	NOUN
ejpam-5435	124	32	)	)	PUNCT
ejpam-5435	125	1	+	+	NUM
ejpam-5435	125	2	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	125	3	(	(	PUNCT
ejpam-5435	125	4	ξ	ξ	NOUN
ejpam-5435	125	5	)	)	PUNCT
ejpam-5435	125	6	]	]	PUNCT
ejpam-5435	126	1	̸=	̸=	PROPN
ejpam-5435	126	2	0	0	NUM
ejpam-5435	127	1	−	−	PROPN
ejpam-5435	127	2	[	[	PUNCT
ejpam-5435	127	3	eiγ	eiγ	NOUN
ejpam-5435	127	4	+	+	CCONJ
ejpam-5435	127	5	(	(	PUNCT
ejpam-5435	127	6	c	c	NOUN
ejpam-5435	127	7	cos	cos	PROPN
ejpam-5435	127	8	γ	γ	PROPN
ejpam-5435	127	9	+	+	X
ejpam-5435	127	10	i	i	NOUN
ejpam-5435	127	11	d	d	NOUN
ejpam-5435	127	12	sin	sin	VERB
ejpam-5435	127	13	γ)χ	γ)χ	NOUN
ejpam-5435	127	14	]	]	PUNCT
ejpam-5435	128	1	[	[	PUNCT
ejpam-5435	128	2	αψ	αψ	X
ejpam-5435	128	3	(	(	PUNCT
ejpam-5435	128	4	ξ	ξ	NOUN
ejpam-5435	128	5	)	)	PUNCT
ejpam-5435	128	6	+	+	CCONJ
ejpam-5435	128	7	βξψ′	βξψ′	NUM
ejpam-5435	128	8	(	(	PUNCT
ejpam-5435	128	9	ξ	ξ	NOUN
ejpam-5435	128	10	)	)	PUNCT
ejpam-5435	128	11	]	]	PUNCT
ejpam-5435	128	12	}	}	PUNCT
ejpam-5435	128	13	̸=	̸=	NOUN
ejpam-5435	128	14	0	0	NUM
ejpam-5435	128	15	(	(	PUNCT
ejpam-5435	128	16	9	9	X
ejpam-5435	128	17	)	)	PUNCT
ejpam-5435	128	18	it	it	PRON
ejpam-5435	128	19	is	be	AUX
ejpam-5435	128	20	easy	easy	ADJ
ejpam-5435	128	21	to	to	PART
ejpam-5435	128	22	verify	verify	VERB
ejpam-5435	128	23	that	that	SCONJ
ejpam-5435	128	24	ψ	ψ	X
ejpam-5435	128	25	(	(	PUNCT
ejpam-5435	128	26	ξ	ξ	NOUN
ejpam-5435	128	27	)	)	PUNCT
ejpam-5435	128	28	∗	∗	NOUN
ejpam-5435	128	29	ξ	ξ	PROPN
ejpam-5435	129	1	1−	1−	NUM
ejpam-5435	129	2	ξ	ξ	X
ejpam-5435	129	3	=	=	SYM
ejpam-5435	129	4	ψ	ψ	X
ejpam-5435	129	5	(	(	PUNCT
ejpam-5435	129	6	ξ	ξ	NOUN
ejpam-5435	129	7	)	)	PUNCT
ejpam-5435	129	8	,	,	PUNCT
ejpam-5435	129	9	(	(	PUNCT
ejpam-5435	129	10	10	10	NUM
ejpam-5435	129	11	)	)	PUNCT
ejpam-5435	129	12	ψ	ψ	X
ejpam-5435	129	13	(	(	PUNCT
ejpam-5435	129	14	ξ	ξ	NOUN
ejpam-5435	129	15	)	)	PUNCT
ejpam-5435	129	16	∗	∗	NOUN
ejpam-5435	129	17	ξ	ξ	PROPN
ejpam-5435	129	18	(	(	PUNCT
ejpam-5435	129	19	1−	1−	NUM
ejpam-5435	129	20	ξ)2	ξ)2	NOUN
ejpam-5435	129	21	=	=	SYM
ejpam-5435	129	22	ξψ′	ξψ′	PROPN
ejpam-5435	129	23	(	(	PUNCT
ejpam-5435	129	24	ξ	ξ	NOUN
ejpam-5435	129	25	)	)	PUNCT
ejpam-5435	129	26	,	,	PUNCT
ejpam-5435	129	27	(	(	PUNCT
ejpam-5435	129	28	11	11	NUM
ejpam-5435	129	29	)	)	PUNCT
ejpam-5435	129	30	and	and	CCONJ
ejpam-5435	129	31	ψ	ψ	X
ejpam-5435	129	32	(	(	PUNCT
ejpam-5435	129	33	ξ	ξ	NOUN
ejpam-5435	129	34	)	)	PUNCT
ejpam-5435	129	35	∗	∗	NOUN
ejpam-5435	129	36	2ξ2	2ξ2	NUM
ejpam-5435	129	37	(	(	PUNCT
ejpam-5435	129	38	1−	1−	NUM
ejpam-5435	129	39	ξ)3	ξ)3	NOUN
ejpam-5435	129	40	=	=	SYM
ejpam-5435	130	1	ξ2ψ′′	ξ2ψ′′	X
ejpam-5435	130	2	(	(	PUNCT
ejpam-5435	130	3	ξ	ξ	NOUN
ejpam-5435	130	4	)	)	PUNCT
ejpam-5435	130	5	.	.	PUNCT
ejpam-5435	131	1	(	(	PUNCT
ejpam-5435	131	2	12	12	NUM
ejpam-5435	131	3	)	)	PUNCT
ejpam-5435	131	4	t.	t.	NOUN
ejpam-5435	131	5	m.	m.	NOUN
ejpam-5435	131	6	seoudy	seoudy	PROPN
ejpam-5435	131	7	/	/	SYM
ejpam-5435	131	8	eur	eur	PROPN
ejpam-5435	131	9	.	.	PUNCT
ejpam-5435	132	1	j.	j.	PROPN
ejpam-5435	132	2	pure	pure	PROPN
ejpam-5435	132	3	appl	appl	PROPN
ejpam-5435	132	4	.	.	PROPN
ejpam-5435	132	5	math	math	PROPN
ejpam-5435	132	6	,	,	PUNCT
ejpam-5435	132	7	17	17	NUM
ejpam-5435	132	8	(	(	PUNCT
ejpam-5435	132	9	4	4	NUM
ejpam-5435	132	10	)	)	PUNCT
ejpam-5435	132	11	(	(	PUNCT
ejpam-5435	132	12	2024	2024	NUM
ejpam-5435	132	13	)	)	PUNCT
ejpam-5435	132	14	,	,	PUNCT
ejpam-5435	132	15	3336	3336	NUM
ejpam-5435	132	16	-	-	SYM
ejpam-5435	132	17	3355	3355	NUM
ejpam-5435	132	18	3340	3340	NUM
ejpam-5435	132	19	using	use	VERB
ejpam-5435	132	20	(	(	PUNCT
ejpam-5435	132	21	10),(11	10),(11	NOUN
ejpam-5435	132	22	)	)	PUNCT
ejpam-5435	132	23	and	and	CCONJ
ejpam-5435	132	24	(	(	PUNCT
ejpam-5435	132	25	12	12	NUM
ejpam-5435	132	26	)	)	PUNCT
ejpam-5435	132	27	in	in	ADP
ejpam-5435	132	28	(	(	PUNCT
ejpam-5435	132	29	9	9	NUM
ejpam-5435	132	30	)	)	PUNCT
ejpam-5435	133	1	,	,	PUNCT
ejpam-5435	133	2	we	we	PRON
ejpam-5435	133	3	obtain	obtain	VERB
ejpam-5435	133	4	1	1	NUM
ejpam-5435	133	5	ξ	ξ	X
ejpam-5435	133	6	{	{	PUNCT
ejpam-5435	133	7	(	(	PUNCT
ejpam-5435	133	8	1	1	NUM
ejpam-5435	133	9	+	+	NOUN
ejpam-5435	133	10	dχ	dχ	NOUN
ejpam-5435	133	11	)	)	PUNCT
ejpam-5435	133	12	eiγ	eiγ	NOUN
ejpam-5435	133	13	[	[	PUNCT
ejpam-5435	133	14	ψ	ψ	X
ejpam-5435	133	15	(	(	PUNCT
ejpam-5435	133	16	ξ	ξ	NOUN
ejpam-5435	133	17	)	)	PUNCT
ejpam-5435	133	18	∗	∗	NOUN
ejpam-5435	133	19	(	(	PUNCT
ejpam-5435	133	20	α+	α+	X
ejpam-5435	133	21	β	β	X
ejpam-5435	133	22	)	)	PUNCT
ejpam-5435	133	23	ξ	ξ	PROPN
ejpam-5435	133	24	(	(	PUNCT
ejpam-5435	133	25	1−	1−	NUM
ejpam-5435	133	26	ξ)2	ξ)2	NOUN
ejpam-5435	133	27	+	+	CCONJ
ejpam-5435	133	28	ψ	ψ	X
ejpam-5435	133	29	(	(	PUNCT
ejpam-5435	133	30	ξ	ξ	NOUN
ejpam-5435	133	31	)	)	PUNCT
ejpam-5435	133	32	∗	∗	NOUN
ejpam-5435	133	33	2βξ2	2βξ2	NUM
ejpam-5435	133	34	(	(	PUNCT
ejpam-5435	133	35	1−	1−	NUM
ejpam-5435	133	36	ξ)3	ξ)3	NOUN
ejpam-5435	133	37	]	]	PUNCT
ejpam-5435	134	1	−	−	PUNCT
ejpam-5435	135	1	[	[	PUNCT
ejpam-5435	135	2	eiγ	eiγ	NOUN
ejpam-5435	135	3	+	+	CCONJ
ejpam-5435	135	4	(	(	PUNCT
ejpam-5435	135	5	c	c	NOUN
ejpam-5435	135	6	cos	cos	PROPN
ejpam-5435	135	7	γ	γ	PROPN
ejpam-5435	135	8	+	+	X
ejpam-5435	135	9	i	i	NOUN
ejpam-5435	135	10	d	d	NOUN
ejpam-5435	135	11	sin	sin	VERB
ejpam-5435	135	12	γ)χ	γ)χ	NOUN
ejpam-5435	135	13	]	]	PUNCT
ejpam-5435	136	1	[	[	PUNCT
ejpam-5435	136	2	ψ	ψ	X
ejpam-5435	136	3	(	(	PUNCT
ejpam-5435	136	4	ξ	ξ	NOUN
ejpam-5435	136	5	)	)	PUNCT
ejpam-5435	136	6	∗	∗	NOUN
ejpam-5435	136	7	αξ	αξ	NOUN
ejpam-5435	136	8	1−	1−	NUM
ejpam-5435	136	9	ξ	ξ	X
ejpam-5435	136	10	+	+	SYM
ejpam-5435	136	11	ψ	ψ	X
ejpam-5435	136	12	(	(	PUNCT
ejpam-5435	136	13	ξ	ξ	NOUN
ejpam-5435	136	14	)	)	PUNCT
ejpam-5435	136	15	∗	∗	NOUN
ejpam-5435	136	16	βξ	βξ	X
ejpam-5435	136	17	(	(	PUNCT
ejpam-5435	136	18	1−	1−	NUM
ejpam-5435	136	19	ξ)2	ξ)2	NOUN
ejpam-5435	136	20	]	]	PUNCT
ejpam-5435	136	21	}	}	PUNCT
ejpam-5435	136	22	=	=	SYM
ejpam-5435	136	23	(	(	PUNCT
ejpam-5435	136	24	α+β)(d−c	α+β)(d−c	NOUN
ejpam-5435	136	25	)	)	PUNCT
ejpam-5435	136	26	cos	cos	ADP
ejpam-5435	136	27	γχ	γχ	NOUN
ejpam-5435	136	28	ξ	ξ	PROPN
ejpam-5435	136	29	ψ	ψ	X
ejpam-5435	136	30	(	(	PUNCT
ejpam-5435	136	31	ξ	ξ	NOUN
ejpam-5435	136	32	)	)	PUNCT
ejpam-5435	136	33	∗	∗	NOUN
ejpam-5435	136	34	ξ−	ξ−	PROPN
ejpam-5435	136	35	(	(	PUNCT
ejpam-5435	136	36	α−β	α−β	PROPN
ejpam-5435	136	37	α+β	α+β	PROPN
ejpam-5435	137	1	+	+	PUNCT
ejpam-5435	137	2	α+2β	α+2β	PROPN
ejpam-5435	137	3	α+β	α+β	X
ejpam-5435	137	4	[	[	PUNCT
ejpam-5435	137	5	(	(	PUNCT
ejpam-5435	137	6	1+dχ)eiγ+(c−d	1+dχ)eiγ+(c−d	NUM
ejpam-5435	137	7	)	)	PUNCT
ejpam-5435	137	8	cos	cos	ADP
ejpam-5435	137	9	γχ	γχ	PROPN
ejpam-5435	137	10	(	(	PUNCT
ejpam-5435	137	11	c−d	c−d	X
ejpam-5435	137	12	)	)	PUNCT
ejpam-5435	137	13	cos	cos	ADP
ejpam-5435	137	14	γχ	γχ	NOUN
ejpam-5435	137	15	]	]	PUNCT
ejpam-5435	137	16	)	)	PUNCT
ejpam-5435	137	17	ξ2	ξ2	NOUN
ejpam-5435	137	18	+	+	CCONJ
ejpam-5435	137	19	α	α	PROPN
ejpam-5435	137	20	α+β	α+β	X
ejpam-5435	138	1	[	[	PUNCT
ejpam-5435	138	2	(	(	PUNCT
ejpam-5435	138	3	1+dχ)eiγ+(c−d	1+dχ)eiγ+(c−d	NUM
ejpam-5435	138	4	)	)	PUNCT
ejpam-5435	138	5	cos	cos	ADP
ejpam-5435	138	6	γχ	γχ	PROPN
ejpam-5435	138	7	(	(	PUNCT
ejpam-5435	138	8	c−d	c−d	X
ejpam-5435	138	9	)	)	PUNCT
ejpam-5435	138	10	cos	cos	ADP
ejpam-5435	138	11	γχ	γχ	PROPN
ejpam-5435	138	12	]	]	X
ejpam-5435	138	13	ξ3	ξ3	PROPN
ejpam-5435	138	14	(	(	PUNCT
ejpam-5435	138	15	1−ξ)3	1−ξ)3	NUM
ejpam-5435	138	16			NOUN
ejpam-5435	138	17	=	=	SYM
ejpam-5435	138	18	(	(	PUNCT
ejpam-5435	138	19	α+β)(d−c	α+β)(d−c	NOUN
ejpam-5435	138	20	)	)	PUNCT
ejpam-5435	138	21	cos	cos	ADP
ejpam-5435	138	22	γχ	γχ	NOUN
ejpam-5435	138	23	ξ	ξ	PROPN
ejpam-5435	138	24	ψ	ψ	X
ejpam-5435	138	25	(	(	PUNCT
ejpam-5435	138	26	ξ	ξ	NOUN
ejpam-5435	138	27	)	)	PUNCT
ejpam-5435	138	28	∗	∗	NOUN
ejpam-5435	138	29	ξ	ξ	X
ejpam-5435	138	30	−	−	PROPN
ejpam-5435	138	31	(	(	PUNCT
ejpam-5435	138	32	α−β	α−β	PROPN
ejpam-5435	138	33	α+β	α+β	NUM
ejpam-5435	139	1	+	+	CCONJ
ejpam-5435	140	1	α+2β	α+2β	PROPN
ejpam-5435	140	2	α+β	α+β	NUM
ejpam-5435	140	3	λ	λ	PROPN
ejpam-5435	140	4	)	)	PUNCT
ejpam-5435	140	5	ξ2	ξ2	NOUN
ejpam-5435	141	1	+	+	CCONJ
ejpam-5435	141	2	α	α	PROPN
ejpam-5435	141	3	α+βλξ	α+βλξ	NUM
ejpam-5435	141	4	2	2	NUM
ejpam-5435	141	5	(	(	PUNCT
ejpam-5435	141	6	1−	1−	NUM
ejpam-5435	141	7	ξ)3	ξ)3	NOUN
ejpam-5435	141	8			PROPN
ejpam-5435	141	9	̸=	̸=	PROPN
ejpam-5435	141	10	0	0	NUM
ejpam-5435	141	11	which	which	PRON
ejpam-5435	141	12	shows	show	VERB
ejpam-5435	141	13	the	the	DET
ejpam-5435	141	14	necessary	necessary	ADJ
ejpam-5435	141	15	condition	condition	NOUN
ejpam-5435	141	16	of	of	ADP
ejpam-5435	141	17	theorem	theorem	NOUN
ejpam-5435	141	18	1	1	NUM
ejpam-5435	141	19	.	.	PUNCT
ejpam-5435	141	20	reversely	reversely	ADV
ejpam-5435	141	21	,	,	PUNCT
ejpam-5435	141	22	since	since	SCONJ
ejpam-5435	141	23	,	,	PUNCT
ejpam-5435	141	24	the	the	DET
ejpam-5435	141	25	assumption	assumption	NOUN
ejpam-5435	141	26	(	(	PUNCT
ejpam-5435	141	27	9	9	NUM
ejpam-5435	141	28	)	)	PUNCT
ejpam-5435	141	29	is	be	AUX
ejpam-5435	141	30	equivalent	equivalent	ADJ
ejpam-5435	141	31	to	to	ADP
ejpam-5435	141	32	(	(	PUNCT
ejpam-5435	141	33	6	6	NUM
ejpam-5435	141	34	)	)	PUNCT
ejpam-5435	141	35	,	,	PUNCT
ejpam-5435	141	36	we	we	PRON
ejpam-5435	141	37	get	get	VERB
ejpam-5435	141	38	that	that	DET
ejpam-5435	141	39	eiγ	eiγ	NOUN
ejpam-5435	141	40	[	[	PUNCT
ejpam-5435	141	41	(	(	PUNCT
ejpam-5435	141	42	α+	α+	X
ejpam-5435	141	43	β	β	NOUN
ejpam-5435	141	44	)	)	PUNCT
ejpam-5435	141	45	ξψ′	ξψ′	PROPN
ejpam-5435	141	46	(	(	PUNCT
ejpam-5435	141	47	ξ	ξ	NOUN
ejpam-5435	141	48	)	)	PUNCT
ejpam-5435	141	49	+	+	NUM
ejpam-5435	141	50	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	141	51	(	(	PUNCT
ejpam-5435	141	52	ξ	ξ	X
ejpam-5435	141	53	)	)	PUNCT
ejpam-5435	141	54	αψ	αψ	PROPN
ejpam-5435	141	55	(	(	PUNCT
ejpam-5435	141	56	ξ	ξ	NOUN
ejpam-5435	141	57	)	)	PUNCT
ejpam-5435	142	1	+	+	CCONJ
ejpam-5435	142	2	βξψ′	βξψ′	NUM
ejpam-5435	142	3	(	(	PUNCT
ejpam-5435	142	4	ξ	ξ	NOUN
ejpam-5435	142	5	)	)	PUNCT
ejpam-5435	142	6	]	]	PUNCT
ejpam-5435	143	1	̸=	̸=	PROPN
ejpam-5435	143	2	cos	cos	ADP
ejpam-5435	143	3	γ	γ	X
ejpam-5435	143	4	(	(	PUNCT
ejpam-5435	143	5	1	1	NUM
ejpam-5435	143	6	+	+	CCONJ
ejpam-5435	143	7	cχ	cχ	PROPN
ejpam-5435	143	8	1	1	NUM
ejpam-5435	143	9	+	+	NOUN
ejpam-5435	143	10	dχ	dχ	NOUN
ejpam-5435	143	11	)	)	PUNCT
ejpam-5435	144	1	+	+	CCONJ
ejpam-5435	144	2	i	i	PRON
ejpam-5435	144	3	sin	sin	VERB
ejpam-5435	144	4	γ	γ	PROPN
ejpam-5435	144	5	,	,	PUNCT
ejpam-5435	144	6	(	(	PUNCT
ejpam-5435	144	7	13	13	NUM
ejpam-5435	144	8	)	)	PUNCT
ejpam-5435	144	9	if	if	SCONJ
ejpam-5435	144	10	we	we	PRON
ejpam-5435	144	11	denote	denote	VERB
ejpam-5435	144	12	φ	φ	PROPN
ejpam-5435	144	13	(	(	PUNCT
ejpam-5435	144	14	ξ	ξ	NOUN
ejpam-5435	144	15	)	)	PUNCT
ejpam-5435	144	16	=	=	SYM
ejpam-5435	144	17	eiγ	eiγ	NOUN
ejpam-5435	144	18	[	[	PUNCT
ejpam-5435	144	19	(	(	PUNCT
ejpam-5435	144	20	α+	α+	X
ejpam-5435	144	21	β	β	NOUN
ejpam-5435	144	22	)	)	PUNCT
ejpam-5435	144	23	ξψ′	ξψ′	PROPN
ejpam-5435	144	24	(	(	PUNCT
ejpam-5435	144	25	ξ	ξ	NOUN
ejpam-5435	144	26	)	)	PUNCT
ejpam-5435	144	27	+	+	NUM
ejpam-5435	144	28	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	144	29	(	(	PUNCT
ejpam-5435	144	30	ξ	ξ	X
ejpam-5435	144	31	)	)	PUNCT
ejpam-5435	144	32	αψ	αψ	PROPN
ejpam-5435	144	33	(	(	PUNCT
ejpam-5435	144	34	ξ	ξ	NOUN
ejpam-5435	144	35	)	)	PUNCT
ejpam-5435	145	1	+	+	CCONJ
ejpam-5435	145	2	βξψ′	βξψ′	NUM
ejpam-5435	145	3	(	(	PUNCT
ejpam-5435	145	4	ξ	ξ	NOUN
ejpam-5435	145	5	)	)	PUNCT
ejpam-5435	145	6	]	]	PUNCT
ejpam-5435	145	7	and	and	CCONJ
ejpam-5435	145	8	ψ	ψ	X
ejpam-5435	145	9	(	(	PUNCT
ejpam-5435	145	10	ξ	ξ	NOUN
ejpam-5435	145	11	)	)	PUNCT
ejpam-5435	146	1	=	=	PUNCT
ejpam-5435	146	2	cos	cos	ADP
ejpam-5435	146	3	γ	γ	X
ejpam-5435	146	4	(	(	PUNCT
ejpam-5435	146	5	1	1	NUM
ejpam-5435	146	6	+	+	NUM
ejpam-5435	146	7	cξ	cξ	NOUN
ejpam-5435	146	8	1	1	NUM
ejpam-5435	146	9	+	+	NOUN
ejpam-5435	146	10	dξ	dξ	PROPN
ejpam-5435	146	11	)	)	PUNCT
ejpam-5435	147	1	+	+	CCONJ
ejpam-5435	147	2	i	i	PRON
ejpam-5435	147	3	sin	sin	VERB
ejpam-5435	147	4	γ	γ	PROPN
ejpam-5435	147	5	,	,	PUNCT
ejpam-5435	147	6	the	the	DET
ejpam-5435	147	7	relation	relation	NOUN
ejpam-5435	147	8	(	(	PUNCT
ejpam-5435	147	9	13	13	NUM
ejpam-5435	147	10	)	)	PUNCT
ejpam-5435	147	11	proves	prove	VERB
ejpam-5435	147	12	that	that	SCONJ
ejpam-5435	147	13	φ	φ	PROPN
ejpam-5435	147	14	(	(	PUNCT
ejpam-5435	147	15	u	u	NOUN
ejpam-5435	147	16	)	)	PUNCT
ejpam-5435	147	17	∩	∩	NOUN
ejpam-5435	147	18	ψ	ψ	X
ejpam-5435	147	19	(	(	PUNCT
ejpam-5435	147	20	∂u	∂u	PROPN
ejpam-5435	147	21	)	)	PUNCT
ejpam-5435	147	22	=	=	NOUN
ejpam-5435	147	23	∅.	∅.	ADP
ejpam-5435	147	24	thus	thus	ADV
ejpam-5435	147	25	,	,	PUNCT
ejpam-5435	147	26	the	the	DET
ejpam-5435	147	27	simply	simply	ADV
ejpam-5435	147	28	-	-	PUNCT
ejpam-5435	147	29	connected	connect	VERB
ejpam-5435	147	30	domain	domain	NOUN
ejpam-5435	147	31	φ	φ	X
ejpam-5435	147	32	(	(	PUNCT
ejpam-5435	147	33	u	u	NOUN
ejpam-5435	147	34	)	)	PUNCT
ejpam-5435	147	35	is	be	AUX
ejpam-5435	147	36	subset	subset	VERB
ejpam-5435	147	37	of	of	ADP
ejpam-5435	147	38	a	a	DET
ejpam-5435	147	39	connected	connected	ADJ
ejpam-5435	147	40	component	component	NOUN
ejpam-5435	147	41	of	of	ADP
ejpam-5435	147	42	c\ψ	c\ψ	PROPN
ejpam-5435	147	43	(	(	PUNCT
ejpam-5435	147	44	∂u	∂u	PROPN
ejpam-5435	147	45	)	)	PUNCT
ejpam-5435	147	46	.	.	PUNCT
ejpam-5435	148	1	from	from	ADP
ejpam-5435	148	2	here	here	ADV
ejpam-5435	148	3	,	,	PUNCT
ejpam-5435	148	4	using	use	VERB
ejpam-5435	148	5	the	the	DET
ejpam-5435	148	6	fact	fact	NOUN
ejpam-5435	148	7	that	that	SCONJ
ejpam-5435	148	8	φ	φ	PROPN
ejpam-5435	148	9	(	(	PUNCT
ejpam-5435	148	10	0	0	NUM
ejpam-5435	148	11	)	)	PUNCT
ejpam-5435	148	12	=	=	SYM
ejpam-5435	148	13	ψ	ψ	X
ejpam-5435	148	14	(	(	PUNCT
ejpam-5435	148	15	0	0	NUM
ejpam-5435	148	16	)	)	PUNCT
ejpam-5435	148	17	=	=	PRON
ejpam-5435	148	18	eiγ	eiγ	VERB
ejpam-5435	148	19	together	together	ADV
ejpam-5435	148	20	with	with	ADP
ejpam-5435	148	21	the	the	DET
ejpam-5435	148	22	univalence	univalence	NOUN
ejpam-5435	148	23	ψ	ψ	X
ejpam-5435	148	24	(	(	PUNCT
ejpam-5435	148	25	ξ	ξ	NOUN
ejpam-5435	148	26	)	)	PUNCT
ejpam-5435	148	27	,	,	PUNCT
ejpam-5435	148	28	it	it	PRON
ejpam-5435	148	29	follows	follow	VERB
ejpam-5435	148	30	that	that	SCONJ
ejpam-5435	149	1	φ	φ	PROPN
ejpam-5435	149	2	(	(	PUNCT
ejpam-5435	149	3	ξ	ξ	NOUN
ejpam-5435	149	4	)	)	PUNCT
ejpam-5435	149	5	subordinate	subordinate	NOUN
ejpam-5435	149	6	to	to	ADP
ejpam-5435	149	7	ψ	ψ	PROPN
ejpam-5435	149	8	(	(	PUNCT
ejpam-5435	149	9	ξ	ξ	NOUN
ejpam-5435	149	10	)	)	PUNCT
ejpam-5435	149	11	,	,	PUNCT
ejpam-5435	149	12	which	which	PRON
ejpam-5435	149	13	leads	lead	VERB
ejpam-5435	149	14	in	in	ADP
ejpam-5435	149	15	fact	fact	NOUN
ejpam-5435	149	16	the	the	DET
ejpam-5435	149	17	subordination	subordination	NOUN
ejpam-5435	149	18	(	(	PUNCT
ejpam-5435	149	19	7	7	NUM
ejpam-5435	149	20	)	)	PUNCT
ejpam-5435	149	21	,	,	PUNCT
ejpam-5435	149	22	i.e.	i.e.	X
ejpam-5435	149	23	ψ	ψ	X
ejpam-5435	149	24	(	(	PUNCT
ejpam-5435	149	25	ξ	ξ	NOUN
ejpam-5435	149	26	)	)	PUNCT
ejpam-5435	149	27	∈	∈	PROPN
ejpam-5435	149	28	skγ	skγ	PUNCT
ejpam-5435	150	1	[	[	X
ejpam-5435	150	2	α	α	X
ejpam-5435	150	3	,	,	PUNCT
ejpam-5435	150	4	β;c	β;c	PRON
ejpam-5435	150	5	,	,	PUNCT
ejpam-5435	150	6	d	d	X
ejpam-5435	150	7	]	]	X
ejpam-5435	150	8	.	.	PUNCT
ejpam-5435	151	1	this	this	PRON
ejpam-5435	151	2	completes	complete	VERB
ejpam-5435	151	3	theorem	theorem	NOUN
ejpam-5435	151	4	1	1	NUM
ejpam-5435	151	5	.	.	PUNCT
ejpam-5435	151	6	putting	put	VERB
ejpam-5435	151	7	γ	γ	NOUN
ejpam-5435	151	8	=	=	SYM
ejpam-5435	151	9	0	0	NUM
ejpam-5435	151	10	in	in	ADP
ejpam-5435	151	11	theorem	theorem	NOUN
ejpam-5435	151	12	1	1	NUM
ejpam-5435	151	13	,	,	PUNCT
ejpam-5435	151	14	we	we	PRON
ejpam-5435	151	15	get	get	VERB
ejpam-5435	151	16	corollary	corollary	ADJ
ejpam-5435	151	17	1	1	NUM
ejpam-5435	151	18	.	.	PUNCT
ejpam-5435	152	1	ψ	ψ	X
ejpam-5435	152	2	(	(	PUNCT
ejpam-5435	152	3	ξ	ξ	NOUN
ejpam-5435	152	4	)	)	PUNCT
ejpam-5435	152	5	∈	∈	NOUN
ejpam-5435	152	6	sk	sk	X
ejpam-5435	153	1	[	[	X
ejpam-5435	153	2	α	α	X
ejpam-5435	153	3	,	,	PUNCT
ejpam-5435	153	4	β;c	β;c	PRON
ejpam-5435	153	5	,	,	PUNCT
ejpam-5435	153	6	d	d	X
ejpam-5435	153	7	]	]	X
ejpam-5435	153	8	if	if	SCONJ
ejpam-5435	153	9	and	and	CCONJ
ejpam-5435	153	10	only	only	ADV
ejpam-5435	153	11	if	if	SCONJ
ejpam-5435	153	12	1	1	NUM
ejpam-5435	153	13	ξ	ξ	X
ejpam-5435	153	14	ψ	ψ	PROPN
ejpam-5435	153	15	(	(	PUNCT
ejpam-5435	153	16	ξ	ξ	NOUN
ejpam-5435	153	17	)	)	PUNCT
ejpam-5435	153	18	∗	∗	NOUN
ejpam-5435	153	19	ξ	ξ	X
ejpam-5435	153	20	−	−	PROPN
ejpam-5435	153	21	(	(	PUNCT
ejpam-5435	153	22	α−β	α−β	PROPN
ejpam-5435	153	23	α+β	α+β	NUM
ejpam-5435	154	1	+	+	CCONJ
ejpam-5435	155	1	α+2β	α+2β	PROPN
ejpam-5435	155	2	α+β	α+β	NUM
ejpam-5435	155	3	λ1	λ1	ADJ
ejpam-5435	155	4	)	)	PUNCT
ejpam-5435	155	5	ξ2	ξ2	NOUN
ejpam-5435	156	1	+	+	CCONJ
ejpam-5435	156	2	α	α	PROPN
ejpam-5435	156	3	α+βλ1ξ	α+βλ1ξ	PROPN
ejpam-5435	156	4	3	3	NUM
ejpam-5435	156	5	(	(	PUNCT
ejpam-5435	156	6	1−	1−	NUM
ejpam-5435	156	7	ξ)3	ξ)3	NOUN
ejpam-5435	156	8			VERB
ejpam-5435	156	9	̸=	̸=	PROPN
ejpam-5435	156	10	0	0	NUM
ejpam-5435	156	11	,	,	PUNCT
ejpam-5435	156	12	where	where	SCONJ
ejpam-5435	156	13	λ1	λ1	PROPN
ejpam-5435	156	14	is	be	AUX
ejpam-5435	156	15	given	give	VERB
ejpam-5435	156	16	by	by	ADP
ejpam-5435	156	17	λ1	λ1	PROPN
ejpam-5435	156	18	=	=	SYM
ejpam-5435	156	19	1	1	NUM
ejpam-5435	156	20	+	+	CCONJ
ejpam-5435	156	21	cχ	cχ	PROPN
ejpam-5435	156	22	(	(	PUNCT
ejpam-5435	156	23	c	c	NOUN
ejpam-5435	156	24	−d)χ	−d)χ	NOUN
ejpam-5435	156	25	.	.	PUNCT
ejpam-5435	157	1	(	(	PUNCT
ejpam-5435	157	2	14	14	NUM
ejpam-5435	157	3	)	)	PUNCT
ejpam-5435	157	4	t.	t.	NOUN
ejpam-5435	157	5	m.	m.	NOUN
ejpam-5435	157	6	seoudy	seoudy	PROPN
ejpam-5435	157	7	/	/	SYM
ejpam-5435	157	8	eur	eur	PROPN
ejpam-5435	157	9	.	.	PUNCT
ejpam-5435	158	1	j.	j.	PROPN
ejpam-5435	158	2	pure	pure	PROPN
ejpam-5435	158	3	appl	appl	PROPN
ejpam-5435	158	4	.	.	PROPN
ejpam-5435	158	5	math	math	PROPN
ejpam-5435	158	6	,	,	PUNCT
ejpam-5435	158	7	17	17	NUM
ejpam-5435	158	8	(	(	PUNCT
ejpam-5435	158	9	4	4	NUM
ejpam-5435	158	10	)	)	PUNCT
ejpam-5435	158	11	(	(	PUNCT
ejpam-5435	158	12	2024	2024	NUM
ejpam-5435	158	13	)	)	PUNCT
ejpam-5435	158	14	,	,	PUNCT
ejpam-5435	158	15	3336	3336	NUM
ejpam-5435	158	16	-	-	SYM
ejpam-5435	158	17	3355	3355	NUM
ejpam-5435	158	18	3341	3341	NUM
ejpam-5435	158	19	putting	put	VERB
ejpam-5435	158	20	β	β	X
ejpam-5435	158	21	=	=	SYM
ejpam-5435	158	22	0	0	PUNCT
ejpam-5435	158	23	in	in	ADP
ejpam-5435	158	24	theorem	theorem	NOUN
ejpam-5435	158	25	1	1	NUM
ejpam-5435	158	26	,	,	PUNCT
ejpam-5435	158	27	we	we	PRON
ejpam-5435	158	28	get	get	VERB
ejpam-5435	158	29	corollary	corollary	ADJ
ejpam-5435	158	30	2	2	NUM
ejpam-5435	158	31	.	.	PUNCT
ejpam-5435	159	1	[	[	X
ejpam-5435	159	2	4	4	NUM
ejpam-5435	159	3	]	]	SYM
ejpam-5435	159	4	ψ	ψ	X
ejpam-5435	159	5	(	(	PUNCT
ejpam-5435	159	6	ξ	ξ	NOUN
ejpam-5435	159	7	)	)	PUNCT
ejpam-5435	159	8	∈	∈	NOUN
ejpam-5435	159	9	sγ	sγ	VERB
ejpam-5435	160	1	[	[	X
ejpam-5435	160	2	c	c	X
ejpam-5435	160	3	,	,	PUNCT
ejpam-5435	160	4	d	d	X
ejpam-5435	160	5	]	]	X
ejpam-5435	160	6	if	if	SCONJ
ejpam-5435	160	7	and	and	CCONJ
ejpam-5435	160	8	only	only	ADV
ejpam-5435	160	9	if	if	SCONJ
ejpam-5435	160	10	1	1	NUM
ejpam-5435	160	11	ξ	ξ	X
ejpam-5435	160	12	[	[	PUNCT
ejpam-5435	160	13	ψ	ψ	X
ejpam-5435	160	14	(	(	PUNCT
ejpam-5435	160	15	ξ	ξ	NOUN
ejpam-5435	160	16	)	)	PUNCT
ejpam-5435	160	17	∗	∗	NOUN
ejpam-5435	160	18	ξ	ξ	X
ejpam-5435	160	19	−	−	NOUN
ejpam-5435	160	20	λξ2	λξ2	PRON
ejpam-5435	160	21	(	(	PUNCT
ejpam-5435	160	22	1−	1−	NUM
ejpam-5435	160	23	ξ)2	ξ)2	NOUN
ejpam-5435	160	24	]	]	PUNCT
ejpam-5435	160	25	̸=	̸=	PROPN
ejpam-5435	160	26	0	0	NUM
ejpam-5435	160	27	,	,	PUNCT
ejpam-5435	160	28	where	where	SCONJ
ejpam-5435	160	29	λ	λ	PROPN
ejpam-5435	160	30	is	be	AUX
ejpam-5435	160	31	given	give	VERB
ejpam-5435	160	32	by	by	ADP
ejpam-5435	160	33	(	(	PUNCT
ejpam-5435	160	34	7	7	NUM
ejpam-5435	160	35	)	)	PUNCT
ejpam-5435	160	36	.	.	PUNCT
ejpam-5435	161	1	putting	put	VERB
ejpam-5435	161	2	α	α	NOUN
ejpam-5435	161	3	=	=	SYM
ejpam-5435	161	4	0	0	NUM
ejpam-5435	161	5	in	in	ADP
ejpam-5435	161	6	theorem	theorem	NOUN
ejpam-5435	161	7	1	1	NUM
ejpam-5435	161	8	,	,	PUNCT
ejpam-5435	161	9	we	we	PRON
ejpam-5435	161	10	get	get	VERB
ejpam-5435	161	11	corollary	corollary	ADJ
ejpam-5435	161	12	3	3	NUM
ejpam-5435	161	13	.	.	PUNCT
ejpam-5435	162	1	[	[	X
ejpam-5435	162	2	5	5	NUM
ejpam-5435	162	3	,	,	PUNCT
ejpam-5435	162	4	lemma	lemma	PROPN
ejpam-5435	162	5	3	3	NUM
ejpam-5435	162	6	with	with	ADP
ejpam-5435	162	7	n	n	NOUN
ejpam-5435	162	8	=	=	SYM
ejpam-5435	162	9	1	1	NUM
ejpam-5435	162	10	]	]	SYM
ejpam-5435	162	11	ψ	ψ	X
ejpam-5435	162	12	(	(	PUNCT
ejpam-5435	162	13	ξ	ξ	NOUN
ejpam-5435	162	14	)	)	PUNCT
ejpam-5435	162	15	∈	∈	PROPN
ejpam-5435	162	16	kγ	kγ	X
ejpam-5435	163	1	[	[	X
ejpam-5435	163	2	c	c	X
ejpam-5435	163	3	,	,	PUNCT
ejpam-5435	163	4	d	d	X
ejpam-5435	163	5	]	]	X
ejpam-5435	163	6	if	if	SCONJ
ejpam-5435	163	7	and	and	CCONJ
ejpam-5435	163	8	only	only	ADV
ejpam-5435	163	9	if	if	SCONJ
ejpam-5435	163	10	1	1	NUM
ejpam-5435	163	11	ξ	ξ	X
ejpam-5435	163	12	[	[	PUNCT
ejpam-5435	163	13	ψ	ψ	X
ejpam-5435	163	14	(	(	PUNCT
ejpam-5435	163	15	ξ	ξ	NOUN
ejpam-5435	163	16	)	)	PUNCT
ejpam-5435	163	17	∗	∗	NOUN
ejpam-5435	163	18	ξ	ξ	X
ejpam-5435	163	19	−	−	PROPN
ejpam-5435	163	20	(	(	PUNCT
ejpam-5435	163	21	2λ−	2λ−	NUM
ejpam-5435	163	22	1	1	NUM
ejpam-5435	163	23	)	)	PUNCT
ejpam-5435	163	24	ξ2	ξ2	NOUN
ejpam-5435	163	25	(	(	PUNCT
ejpam-5435	163	26	1−	1−	NUM
ejpam-5435	163	27	ξ)3	ξ)3	NOUN
ejpam-5435	163	28	]	]	PUNCT
ejpam-5435	164	1	̸=	̸=	PROPN
ejpam-5435	164	2	0	0	NUM
ejpam-5435	164	3	,	,	PUNCT
ejpam-5435	164	4	where	where	SCONJ
ejpam-5435	164	5	λ	λ	PROPN
ejpam-5435	164	6	is	be	AUX
ejpam-5435	164	7	given	give	VERB
ejpam-5435	164	8	by	by	ADP
ejpam-5435	164	9	(	(	PUNCT
ejpam-5435	164	10	7	7	NUM
ejpam-5435	164	11	)	)	PUNCT
ejpam-5435	164	12	.	.	PUNCT
ejpam-5435	165	1	taking	take	VERB
ejpam-5435	165	2	c	c	NOUN
ejpam-5435	165	3	=	=	SYM
ejpam-5435	165	4	1−	1−	NUM
ejpam-5435	165	5	2λ	2λ	NUM
ejpam-5435	165	6	(	(	PUNCT
ejpam-5435	165	7	0	0	NUM
ejpam-5435	165	8	≤	≤	NUM
ejpam-5435	165	9	λ	λ	X
ejpam-5435	165	10	<	<	X
ejpam-5435	165	11	1	1	NUM
ejpam-5435	165	12	)	)	PUNCT
ejpam-5435	165	13	and	and	CCONJ
ejpam-5435	165	14	d	d	NOUN
ejpam-5435	165	15	=	=	SYM
ejpam-5435	165	16	−1	−1	NOUN
ejpam-5435	165	17	in	in	ADP
ejpam-5435	165	18	theorem	theorem	NOUN
ejpam-5435	165	19	1	1	NUM
ejpam-5435	165	20	,	,	PUNCT
ejpam-5435	165	21	we	we	PRON
ejpam-5435	165	22	get	get	VERB
ejpam-5435	165	23	corollary	corollary	ADJ
ejpam-5435	165	24	4	4	NUM
ejpam-5435	165	25	.	.	PUNCT
ejpam-5435	166	1	ψ	ψ	X
ejpam-5435	166	2	(	(	PUNCT
ejpam-5435	166	3	ξ	ξ	NOUN
ejpam-5435	166	4	)	)	PUNCT
ejpam-5435	166	5	∈	∈	PROPN
ejpam-5435	166	6	skγ	skγ	NOUN
ejpam-5435	166	7	(	(	PUNCT
ejpam-5435	166	8	α	α	NOUN
ejpam-5435	166	9	,	,	PUNCT
ejpam-5435	166	10	β;λ	β;λ	PUNCT
ejpam-5435	166	11	)	)	PUNCT
ejpam-5435	167	1	if	if	SCONJ
ejpam-5435	167	2	and	and	CCONJ
ejpam-5435	167	3	only	only	ADV
ejpam-5435	167	4	if	if	SCONJ
ejpam-5435	167	5	1	1	NUM
ejpam-5435	167	6	ξ	ξ	X
ejpam-5435	167	7	ψ	ψ	PROPN
ejpam-5435	167	8	(	(	PUNCT
ejpam-5435	167	9	ξ	ξ	NOUN
ejpam-5435	167	10	)	)	PUNCT
ejpam-5435	167	11	∗	∗	NOUN
ejpam-5435	167	12	ξ	ξ	X
ejpam-5435	167	13	−	−	PROPN
ejpam-5435	167	14	(	(	PUNCT
ejpam-5435	167	15	α−β	α−β	PROPN
ejpam-5435	167	16	α+β	α+β	NUM
ejpam-5435	168	1	+	+	CCONJ
ejpam-5435	169	1	α+2β	α+2β	PROPN
ejpam-5435	169	2	α+β	α+β	NUM
ejpam-5435	169	3	λ2	λ2	NOUN
ejpam-5435	169	4	)	)	PUNCT
ejpam-5435	169	5	ξ2	ξ2	NOUN
ejpam-5435	170	1	+	+	CCONJ
ejpam-5435	170	2	α	α	PROPN
ejpam-5435	170	3	α+βλ2ξ	α+βλ2ξ	PROPN
ejpam-5435	170	4	3	3	NUM
ejpam-5435	170	5	(	(	PUNCT
ejpam-5435	170	6	1−	1−	NUM
ejpam-5435	170	7	ξ)3	ξ)3	NOUN
ejpam-5435	170	8			VERB
ejpam-5435	170	9	̸=	̸=	PROPN
ejpam-5435	170	10	0	0	NUM
ejpam-5435	170	11	,	,	PUNCT
ejpam-5435	170	12	where	where	SCONJ
ejpam-5435	170	13	λ2	λ2	NOUN
ejpam-5435	170	14	=	=	SYM
ejpam-5435	170	15	(	(	PUNCT
ejpam-5435	170	16	1−	1−	NUM
ejpam-5435	170	17	χ	χ	NOUN
ejpam-5435	170	18	)	)	PUNCT
ejpam-5435	170	19	eiγ	eiγ	NOUN
ejpam-5435	170	20	+	+	CCONJ
ejpam-5435	170	21	2	2	NUM
ejpam-5435	170	22	(	(	PUNCT
ejpam-5435	170	23	1−	1−	NUM
ejpam-5435	170	24	λ	λ	NOUN
ejpam-5435	170	25	)	)	PUNCT
ejpam-5435	170	26	cos	cos	ADP
ejpam-5435	170	27	γχ	γχ	NOUN
ejpam-5435	170	28	2	2	NUM
ejpam-5435	170	29	(	(	PUNCT
ejpam-5435	170	30	1−	1−	NUM
ejpam-5435	170	31	λ	λ	NOUN
ejpam-5435	170	32	)	)	PUNCT
ejpam-5435	170	33	cos	cos	ADP
ejpam-5435	170	34	γχ	γχ	PROPN
ejpam-5435	170	35	.	.	PUNCT
ejpam-5435	171	1	theorem	theorem	VERB
ejpam-5435	171	2	2	2	NUM
ejpam-5435	171	3	.	.	NOUN
ejpam-5435	171	4	ψ	ψ	X
ejpam-5435	171	5	(	(	PUNCT
ejpam-5435	171	6	ξ	ξ	NOUN
ejpam-5435	171	7	)	)	PUNCT
ejpam-5435	171	8	∈	∈	PROPN
ejpam-5435	172	1	skγ	skγ	PUNCT
ejpam-5435	173	1	[	[	X
ejpam-5435	173	2	α	α	X
ejpam-5435	173	3	,	,	PUNCT
ejpam-5435	173	4	β;c	β;c	PRON
ejpam-5435	173	5	,	,	PUNCT
ejpam-5435	173	6	d	d	X
ejpam-5435	173	7	]	]	X
ejpam-5435	173	8	if	if	SCONJ
ejpam-5435	173	9	and	and	CCONJ
ejpam-5435	173	10	only	only	ADV
ejpam-5435	173	11	if	if	SCONJ
ejpam-5435	173	12	1−	1−	NUM
ejpam-5435	173	13	∞∑	∞∑	NUM
ejpam-5435	173	14	j=2	j=2	NOUN
ejpam-5435	173	15	(	(	PUNCT
ejpam-5435	173	16	α+	α+	NOUN
ejpam-5435	173	17	βj	βj	X
ejpam-5435	173	18	α+	α+	X
ejpam-5435	173	19	β	β	NOUN
ejpam-5435	173	20	)	)	PUNCT
ejpam-5435	173	21	(	(	PUNCT
ejpam-5435	173	22	j	j	NOUN
ejpam-5435	173	23	−	−	PROPN
ejpam-5435	173	24	1	1	NUM
ejpam-5435	173	25	)	)	PUNCT
ejpam-5435	173	26	(	(	PUNCT
ejpam-5435	173	27	1	1	NUM
ejpam-5435	173	28	+	+	NOUN
ejpam-5435	173	29	dχ	dχ	NOUN
ejpam-5435	173	30	)	)	PUNCT
ejpam-5435	173	31	eiγ	eiγ	NOUN
ejpam-5435	173	32	−	−	PROPN
ejpam-5435	173	33	(	(	PUNCT
ejpam-5435	173	34	c	c	PROPN
ejpam-5435	173	35	−d	−d	PROPN
ejpam-5435	173	36	)	)	PUNCT
ejpam-5435	174	1	cos	cos	ADP
ejpam-5435	174	2	γχ	γχ	PROPN
ejpam-5435	174	3	(	(	PUNCT
ejpam-5435	174	4	c	c	PROPN
ejpam-5435	174	5	−d	−d	PROPN
ejpam-5435	174	6	)	)	PUNCT
ejpam-5435	175	1	cos	cos	ADP
ejpam-5435	175	2	γχ	γχ	NOUN
ejpam-5435	175	3	ρjξ	ρjξ	INTJ
ejpam-5435	176	1	j−1	j−1	PROPN
ejpam-5435	176	2	̸=	̸=	PROPN
ejpam-5435	176	3	0	0	NUM
ejpam-5435	176	4	.	.	PUNCT
ejpam-5435	177	1	(	(	PUNCT
ejpam-5435	177	2	15	15	NUM
ejpam-5435	177	3	)	)	PUNCT
ejpam-5435	177	4	proof	proof	NOUN
ejpam-5435	177	5	.	.	PUNCT
ejpam-5435	178	1	from	from	ADP
ejpam-5435	178	2	theorem	theorem	NOUN
ejpam-5435	178	3	1	1	NUM
ejpam-5435	178	4	,	,	PUNCT
ejpam-5435	178	5	we	we	PRON
ejpam-5435	178	6	have	have	VERB
ejpam-5435	178	7	ψ	ψ	X
ejpam-5435	178	8	(	(	PUNCT
ejpam-5435	178	9	ξ	ξ	NOUN
ejpam-5435	178	10	)	)	PUNCT
ejpam-5435	178	11	∈	∈	PROPN
ejpam-5435	179	1	skγ	skγ	PUNCT
ejpam-5435	180	1	[	[	X
ejpam-5435	180	2	α	α	X
ejpam-5435	180	3	,	,	PUNCT
ejpam-5435	180	4	β;c	β;c	PRON
ejpam-5435	180	5	,	,	PUNCT
ejpam-5435	180	6	d	d	X
ejpam-5435	180	7	]	]	X
ejpam-5435	180	8	if	if	SCONJ
ejpam-5435	180	9	and	and	CCONJ
ejpam-5435	180	10	only	only	ADV
ejpam-5435	180	11	if	if	SCONJ
ejpam-5435	180	12	1	1	NUM
ejpam-5435	180	13	ξ	ξ	X
ejpam-5435	180	14	ψ	ψ	PROPN
ejpam-5435	180	15	(	(	PUNCT
ejpam-5435	180	16	ξ	ξ	NOUN
ejpam-5435	180	17	)	)	PUNCT
ejpam-5435	180	18	∗	∗	NOUN
ejpam-5435	181	1	ξ	ξ	X
ejpam-5435	181	2	−	−	PROPN
ejpam-5435	181	3	(	(	PUNCT
ejpam-5435	181	4	α−β	α−β	PROPN
ejpam-5435	181	5	α+β	α+β	NUM
ejpam-5435	182	1	+	+	CCONJ
ejpam-5435	182	2	α+2β	α+2β	PROPN
ejpam-5435	182	3	α+β	α+β	NUM
ejpam-5435	182	4	λ	λ	PROPN
ejpam-5435	182	5	)	)	PUNCT
ejpam-5435	182	6	ξ2	ξ2	NOUN
ejpam-5435	183	1	+	+	CCONJ
ejpam-5435	183	2	α	α	PROPN
ejpam-5435	183	3	α+βλξ	α+βλξ	NUM
ejpam-5435	183	4	3	3	NUM
ejpam-5435	183	5	(	(	PUNCT
ejpam-5435	183	6	1−	1−	NUM
ejpam-5435	183	7	ξ)3	ξ)3	NOUN
ejpam-5435	183	8			VERB
ejpam-5435	183	9	̸=	̸=	PROPN
ejpam-5435	183	10	0	0	NUM
ejpam-5435	183	11	(	(	PUNCT
ejpam-5435	183	12	16	16	NUM
ejpam-5435	183	13	)	)	PUNCT
ejpam-5435	183	14	for	for	ADP
ejpam-5435	183	15	all	all	DET
ejpam-5435	183	16	λ	λ	PROPN
ejpam-5435	183	17	given	give	VERB
ejpam-5435	183	18	by	by	ADP
ejpam-5435	183	19	(	(	PUNCT
ejpam-5435	183	20	7	7	NUM
ejpam-5435	183	21	)	)	PUNCT
ejpam-5435	183	22	.	.	PUNCT
ejpam-5435	184	1	the	the	DET
ejpam-5435	184	2	left	left	ADJ
ejpam-5435	184	3	hand	hand	NOUN
ejpam-5435	184	4	side	side	NOUN
ejpam-5435	184	5	of	of	ADP
ejpam-5435	184	6	(	(	PUNCT
ejpam-5435	184	7	16	16	NUM
ejpam-5435	184	8	)	)	PUNCT
ejpam-5435	184	9	can	can	AUX
ejpam-5435	184	10	be	be	AUX
ejpam-5435	184	11	written	write	VERB
ejpam-5435	184	12	as	as	ADP
ejpam-5435	184	13	1	1	NUM
ejpam-5435	184	14	ξ	ξ	PROPN
ejpam-5435	184	15	[	[	PUNCT
ejpam-5435	184	16	ψ(ξ	ψ(ξ	PROPN
ejpam-5435	184	17	)	)	PUNCT
ejpam-5435	184	18	∗	∗	NOUN
ejpam-5435	184	19	(	(	PUNCT
ejpam-5435	184	20	αλ	αλ	PRON
ejpam-5435	184	21	α+β	α+β	NUM
ejpam-5435	184	22	ξ	ξ	X
ejpam-5435	184	23	1−ξ	1−ξ	NUM
ejpam-5435	185	1	+	+	NUM
ejpam-5435	185	2	α+β−αλ	α+β−αλ	PROPN
ejpam-5435	185	3	α+β	α+β	NUM
ejpam-5435	185	4	ξ	ξ	X
ejpam-5435	185	5	(	(	PUNCT
ejpam-5435	185	6	1−ξ)2	1−ξ)2	NUM
ejpam-5435	185	7	+	+	NUM
ejpam-5435	185	8	β(1−λ	β(1−λ	NOUN
ejpam-5435	185	9	)	)	PUNCT
ejpam-5435	185	10	α+β	α+β	NUM
ejpam-5435	185	11	2ξ	2ξ	NUM
ejpam-5435	185	12	(	(	PUNCT
ejpam-5435	185	13	1−ξ)3	1−ξ)3	NUM
ejpam-5435	185	14	)	)	PUNCT
ejpam-5435	185	15	]	]	PUNCT
ejpam-5435	186	1	=	=	PUNCT
ejpam-5435	186	2	1	1	NUM
ejpam-5435	186	3	ξ	ξ	X
ejpam-5435	186	4	[	[	PUNCT
ejpam-5435	186	5	αλ	αλ	NUM
ejpam-5435	186	6	α+	α+	PUNCT
ejpam-5435	186	7	β	β	X
ejpam-5435	186	8	ψ	ψ	X
ejpam-5435	186	9	(	(	PUNCT
ejpam-5435	186	10	ξ	ξ	NOUN
ejpam-5435	186	11	)	)	PUNCT
ejpam-5435	186	12	+	+	CCONJ
ejpam-5435	186	13	α+β−αλ	α+β−αλ	PROPN
ejpam-5435	186	14	α+β	α+β	NUM
ejpam-5435	186	15	ξψ′(ξ	ξψ′(ξ	NOUN
ejpam-5435	186	16	)	)	PUNCT
ejpam-5435	186	17	+	+	CCONJ
ejpam-5435	186	18	β	β	X
ejpam-5435	186	19	(	(	PUNCT
ejpam-5435	186	20	1−	1−	NUM
ejpam-5435	186	21	λ	λ	NOUN
ejpam-5435	186	22	)	)	PUNCT
ejpam-5435	186	23	α+	α+	PRON
ejpam-5435	186	24	β	β	X
ejpam-5435	186	25	ξ2ψ′′	ξ2ψ′′	X
ejpam-5435	186	26	(	(	PUNCT
ejpam-5435	186	27	ξ	ξ	NOUN
ejpam-5435	186	28	)	)	PUNCT
ejpam-5435	186	29	]	]	PUNCT
ejpam-5435	187	1	t.	t.	PROPN
ejpam-5435	187	2	m.	m.	NOUN
ejpam-5435	187	3	seoudy	seoudy	PROPN
ejpam-5435	187	4	/	/	SYM
ejpam-5435	187	5	eur	eur	PROPN
ejpam-5435	187	6	.	.	PUNCT
ejpam-5435	188	1	j.	j.	PROPN
ejpam-5435	188	2	pure	pure	PROPN
ejpam-5435	188	3	appl	appl	PROPN
ejpam-5435	188	4	.	.	PROPN
ejpam-5435	188	5	math	math	PROPN
ejpam-5435	188	6	,	,	PUNCT
ejpam-5435	188	7	17	17	NUM
ejpam-5435	188	8	(	(	PUNCT
ejpam-5435	188	9	4	4	NUM
ejpam-5435	188	10	)	)	PUNCT
ejpam-5435	188	11	(	(	PUNCT
ejpam-5435	188	12	2024	2024	NUM
ejpam-5435	188	13	)	)	PUNCT
ejpam-5435	188	14	,	,	PUNCT
ejpam-5435	188	15	3336	3336	NUM
ejpam-5435	188	16	-	-	SYM
ejpam-5435	188	17	3355	3355	NUM
ejpam-5435	188	18	3342	3342	NUM
ejpam-5435	188	19	=	=	SYM
ejpam-5435	188	20	1−	1−	NUM
ejpam-5435	189	1	∞∑	∞∑	NUM
ejpam-5435	189	2	j=2	j=2	PROPN
ejpam-5435	189	3	(	(	PUNCT
ejpam-5435	189	4	β	β	X
ejpam-5435	189	5	(	(	PUNCT
ejpam-5435	189	6	λ−	λ−	PROPN
ejpam-5435	189	7	1	1	NUM
ejpam-5435	189	8	)	)	PUNCT
ejpam-5435	189	9	α+	α+	PRON
ejpam-5435	189	10	β	β	X
ejpam-5435	189	11	j2	j2	PROPN
ejpam-5435	189	12	+	+	CCONJ
ejpam-5435	189	13	(	(	PUNCT
ejpam-5435	189	14	α−	α−	ADP
ejpam-5435	189	15	β	β	NOUN
ejpam-5435	189	16	)	)	PUNCT
ejpam-5435	189	17	λ−	λ−	PROPN
ejpam-5435	189	18	α	α	INTJ
ejpam-5435	189	19	α+	α+	X
ejpam-5435	189	20	β	β	X
ejpam-5435	189	21	j	j	NOUN
ejpam-5435	189	22	−	−	NOUN
ejpam-5435	189	23	αλ	αλ	NUM
ejpam-5435	189	24	α+	α+	NOUN
ejpam-5435	189	25	β	β	X
ejpam-5435	189	26	)	)	PUNCT
ejpam-5435	189	27	ρjξ	ρjξ	PROPN
ejpam-5435	190	1	j−1	j−1	NOUN
ejpam-5435	190	2	=	=	SYM
ejpam-5435	190	3	1−	1−	NUM
ejpam-5435	191	1	∞∑	∞∑	NUM
ejpam-5435	191	2	j=2	j=2	PROPN
ejpam-5435	191	3	(	(	PUNCT
ejpam-5435	191	4	α+	α+	NOUN
ejpam-5435	191	5	βj	βj	X
ejpam-5435	191	6	α+	α+	X
ejpam-5435	191	7	β	β	NOUN
ejpam-5435	191	8	)	)	PUNCT
ejpam-5435	191	9	(	(	PUNCT
ejpam-5435	191	10	j	j	NOUN
ejpam-5435	191	11	−	−	PROPN
ejpam-5435	191	12	1	1	NUM
ejpam-5435	191	13	)	)	PUNCT
ejpam-5435	191	14	(	(	PUNCT
ejpam-5435	191	15	1	1	NUM
ejpam-5435	191	16	+	+	NOUN
ejpam-5435	191	17	dχ	dχ	NOUN
ejpam-5435	191	18	)	)	PUNCT
ejpam-5435	191	19	eiγ	eiγ	NOUN
ejpam-5435	191	20	−	−	PROPN
ejpam-5435	191	21	(	(	PUNCT
ejpam-5435	191	22	c	c	PROPN
ejpam-5435	191	23	−d	−d	PROPN
ejpam-5435	191	24	)	)	PUNCT
ejpam-5435	191	25	cos	cos	ADP
ejpam-5435	191	26	γχ	γχ	PROPN
ejpam-5435	191	27	(	(	PUNCT
ejpam-5435	191	28	c	c	PROPN
ejpam-5435	191	29	−d	−d	PROPN
ejpam-5435	191	30	)	)	PUNCT
ejpam-5435	192	1	cos	cos	ADP
ejpam-5435	192	2	γχ	γχ	NOUN
ejpam-5435	192	3	ρjξ	ρjξ	PROPN
ejpam-5435	192	4	j−1	j−1	PROPN
ejpam-5435	192	5	.	.	PUNCT
ejpam-5435	193	1	hence	hence	ADV
ejpam-5435	193	2	,	,	PUNCT
ejpam-5435	193	3	the	the	DET
ejpam-5435	193	4	proof	proof	NOUN
ejpam-5435	193	5	is	be	AUX
ejpam-5435	193	6	completed	complete	VERB
ejpam-5435	193	7	.	.	PUNCT
ejpam-5435	194	1	letting	let	VERB
ejpam-5435	194	2	γ	γ	X
ejpam-5435	194	3	=	=	SYM
ejpam-5435	194	4	0	0	NUM
ejpam-5435	194	5	in	in	ADP
ejpam-5435	194	6	theorem	theorem	NOUN
ejpam-5435	194	7	2	2	NUM
ejpam-5435	194	8	,	,	PUNCT
ejpam-5435	194	9	we	we	PRON
ejpam-5435	194	10	obtain	obtain	VERB
ejpam-5435	194	11	corollary	corollary	ADJ
ejpam-5435	194	12	5	5	NUM
ejpam-5435	194	13	.	.	PUNCT
ejpam-5435	194	14	ψ	ψ	X
ejpam-5435	194	15	(	(	PUNCT
ejpam-5435	194	16	ξ	ξ	NOUN
ejpam-5435	194	17	)	)	PUNCT
ejpam-5435	194	18	∈	∈	NOUN
ejpam-5435	194	19	sk	sk	X
ejpam-5435	195	1	[	[	X
ejpam-5435	195	2	α	α	X
ejpam-5435	195	3	,	,	PUNCT
ejpam-5435	195	4	β;c	β;c	PRON
ejpam-5435	195	5	,	,	PUNCT
ejpam-5435	195	6	d	d	X
ejpam-5435	195	7	]	]	X
ejpam-5435	195	8	if	if	SCONJ
ejpam-5435	195	9	and	and	CCONJ
ejpam-5435	195	10	only	only	ADV
ejpam-5435	195	11	if	if	SCONJ
ejpam-5435	195	12	1−	1−	NUM
ejpam-5435	195	13	∞∑	∞∑	NUM
ejpam-5435	195	14	j=2	j=2	NOUN
ejpam-5435	195	15	(	(	PUNCT
ejpam-5435	195	16	α+	α+	NOUN
ejpam-5435	195	17	βj	βj	X
ejpam-5435	195	18	α+	α+	X
ejpam-5435	195	19	β	β	NOUN
ejpam-5435	195	20	)	)	PUNCT
ejpam-5435	195	21	(	(	PUNCT
ejpam-5435	195	22	j	j	NOUN
ejpam-5435	195	23	−	−	PROPN
ejpam-5435	195	24	1	1	NUM
ejpam-5435	195	25	)	)	PUNCT
ejpam-5435	195	26	(	(	PUNCT
ejpam-5435	195	27	1	1	NUM
ejpam-5435	195	28	+	+	NOUN
ejpam-5435	195	29	dχ)−	dχ)−	NOUN
ejpam-5435	195	30	(	(	PUNCT
ejpam-5435	195	31	c	c	NOUN
ejpam-5435	195	32	−d)χ	−d)χ	PROPN
ejpam-5435	195	33	(	(	PUNCT
ejpam-5435	195	34	c	c	NOUN
ejpam-5435	195	35	−d)χ	−d)χ	NOUN
ejpam-5435	195	36	ρjξ	ρjξ	VERB
ejpam-5435	195	37	j−1	j−1	PROPN
ejpam-5435	195	38	̸=	̸=	PROPN
ejpam-5435	195	39	0	0	NUM
ejpam-5435	195	40	.	.	PUNCT
ejpam-5435	196	1	taking	take	VERB
ejpam-5435	196	2	β	β	X
ejpam-5435	196	3	=	=	SYM
ejpam-5435	196	4	0	0	PUNCT
ejpam-5435	196	5	in	in	ADP
ejpam-5435	196	6	theorem	theorem	NOUN
ejpam-5435	196	7	2	2	NUM
ejpam-5435	196	8	,	,	PUNCT
ejpam-5435	196	9	we	we	PRON
ejpam-5435	196	10	get	get	VERB
ejpam-5435	196	11	corollary	corollary	ADJ
ejpam-5435	196	12	6	6	NUM
ejpam-5435	196	13	.	.	PUNCT
ejpam-5435	197	1	ψ	ψ	X
ejpam-5435	197	2	(	(	PUNCT
ejpam-5435	197	3	ξ	ξ	NOUN
ejpam-5435	197	4	)	)	PUNCT
ejpam-5435	197	5	∈	∈	NOUN
ejpam-5435	197	6	sγ	sγ	VERB
ejpam-5435	198	1	[	[	X
ejpam-5435	198	2	c	c	X
ejpam-5435	198	3	,	,	PUNCT
ejpam-5435	198	4	d	d	X
ejpam-5435	198	5	]	]	X
ejpam-5435	198	6	if	if	SCONJ
ejpam-5435	198	7	and	and	CCONJ
ejpam-5435	198	8	only	only	ADV
ejpam-5435	198	9	if	if	SCONJ
ejpam-5435	198	10	1−	1−	NUM
ejpam-5435	198	11	∞∑	∞∑	NUM
ejpam-5435	198	12	j=2	j=2	PROPN
ejpam-5435	198	13	(	(	PUNCT
ejpam-5435	198	14	j	j	PROPN
ejpam-5435	198	15	−	−	PROPN
ejpam-5435	198	16	1	1	NUM
ejpam-5435	198	17	)	)	PUNCT
ejpam-5435	198	18	(	(	PUNCT
ejpam-5435	198	19	1	1	NUM
ejpam-5435	198	20	+	+	NOUN
ejpam-5435	198	21	dχ	dχ	NOUN
ejpam-5435	198	22	)	)	PUNCT
ejpam-5435	198	23	eiγ	eiγ	NOUN
ejpam-5435	198	24	−	−	PROPN
ejpam-5435	198	25	(	(	PUNCT
ejpam-5435	198	26	c	c	PROPN
ejpam-5435	198	27	−d	−d	PROPN
ejpam-5435	198	28	)	)	PUNCT
ejpam-5435	198	29	cos	cos	ADP
ejpam-5435	198	30	γχ	γχ	PROPN
ejpam-5435	198	31	(	(	PUNCT
ejpam-5435	198	32	c	c	PROPN
ejpam-5435	198	33	−d	−d	PROPN
ejpam-5435	198	34	)	)	PUNCT
ejpam-5435	199	1	cos	cos	ADP
ejpam-5435	199	2	γχ	γχ	NOUN
ejpam-5435	199	3	ρjξ	ρjξ	INTJ
ejpam-5435	199	4	j−1	j−1	PROPN
ejpam-5435	199	5	̸=	̸=	PROPN
ejpam-5435	199	6	0	0	NUM
ejpam-5435	199	7	.	.	PUNCT
ejpam-5435	200	1	taking	take	VERB
ejpam-5435	200	2	α	α	NOUN
ejpam-5435	200	3	=	=	SYM
ejpam-5435	200	4	0	0	NUM
ejpam-5435	200	5	in	in	ADP
ejpam-5435	200	6	theorem	theorem	NOUN
ejpam-5435	200	7	2	2	NUM
ejpam-5435	200	8	,	,	PUNCT
ejpam-5435	200	9	we	we	PRON
ejpam-5435	200	10	get	get	VERB
ejpam-5435	200	11	corollary	corollary	ADJ
ejpam-5435	200	12	7	7	NUM
ejpam-5435	200	13	.	.	PUNCT
ejpam-5435	200	14	ψ	ψ	X
ejpam-5435	200	15	(	(	PUNCT
ejpam-5435	200	16	ξ	ξ	NOUN
ejpam-5435	200	17	)	)	PUNCT
ejpam-5435	200	18	∈	∈	PROPN
ejpam-5435	200	19	kγ	kγ	X
ejpam-5435	201	1	[	[	X
ejpam-5435	201	2	c	c	X
ejpam-5435	201	3	,	,	PUNCT
ejpam-5435	201	4	d	d	X
ejpam-5435	201	5	]	]	X
ejpam-5435	201	6	if	if	SCONJ
ejpam-5435	201	7	and	and	CCONJ
ejpam-5435	201	8	only	only	ADV
ejpam-5435	201	9	if	if	SCONJ
ejpam-5435	201	10	1−	1−	NUM
ejpam-5435	201	11	∞∑	∞∑	NUM
ejpam-5435	201	12	j=2	j=2	PROPN
ejpam-5435	201	13	j	j	PROPN
ejpam-5435	201	14	(	(	PUNCT
ejpam-5435	201	15	j	j	PROPN
ejpam-5435	201	16	−	−	PROPN
ejpam-5435	201	17	1	1	NUM
ejpam-5435	201	18	)	)	PUNCT
ejpam-5435	201	19	(	(	PUNCT
ejpam-5435	201	20	1	1	NUM
ejpam-5435	201	21	+	+	NOUN
ejpam-5435	201	22	dχ	dχ	NOUN
ejpam-5435	201	23	)	)	PUNCT
ejpam-5435	201	24	eiγ	eiγ	NOUN
ejpam-5435	201	25	−	−	PROPN
ejpam-5435	201	26	(	(	PUNCT
ejpam-5435	201	27	c	c	PROPN
ejpam-5435	201	28	−d	−d	PROPN
ejpam-5435	201	29	)	)	PUNCT
ejpam-5435	202	1	cos	cos	ADP
ejpam-5435	202	2	γχ	γχ	PROPN
ejpam-5435	202	3	(	(	PUNCT
ejpam-5435	202	4	c	c	PROPN
ejpam-5435	202	5	−d	−d	PROPN
ejpam-5435	202	6	)	)	PUNCT
ejpam-5435	203	1	cos	cos	ADP
ejpam-5435	203	2	γχ	γχ	NOUN
ejpam-5435	203	3	ρjξ	ρjξ	INTJ
ejpam-5435	204	1	j−1	j−1	PROPN
ejpam-5435	204	2	̸=	̸=	PROPN
ejpam-5435	204	3	0	0	NUM
ejpam-5435	204	4	.	.	PUNCT
ejpam-5435	205	1	taking	take	VERB
ejpam-5435	205	2	c	c	NOUN
ejpam-5435	205	3	=	=	SYM
ejpam-5435	205	4	1−	1−	NUM
ejpam-5435	205	5	2λ	2λ	NUM
ejpam-5435	205	6	(	(	PUNCT
ejpam-5435	205	7	0	0	NUM
ejpam-5435	205	8	≤	≤	NUM
ejpam-5435	205	9	λ	λ	X
ejpam-5435	205	10	<	<	X
ejpam-5435	205	11	1	1	NUM
ejpam-5435	205	12	)	)	PUNCT
ejpam-5435	205	13	and	and	CCONJ
ejpam-5435	205	14	d	d	NOUN
ejpam-5435	205	15	=	=	SYM
ejpam-5435	205	16	−1	−1	NOUN
ejpam-5435	205	17	in	in	ADP
ejpam-5435	205	18	theorem	theorem	NOUN
ejpam-5435	205	19	2	2	NUM
ejpam-5435	205	20	,	,	PUNCT
ejpam-5435	205	21	we	we	PRON
ejpam-5435	205	22	get	get	VERB
ejpam-5435	205	23	corollary	corollary	ADJ
ejpam-5435	205	24	8	8	NUM
ejpam-5435	205	25	.	.	PUNCT
ejpam-5435	206	1	ψ	ψ	X
ejpam-5435	206	2	(	(	PUNCT
ejpam-5435	206	3	ξ	ξ	NOUN
ejpam-5435	206	4	)	)	PUNCT
ejpam-5435	206	5	∈	∈	PROPN
ejpam-5435	206	6	skγ	skγ	NOUN
ejpam-5435	206	7	(	(	PUNCT
ejpam-5435	206	8	α	α	NOUN
ejpam-5435	206	9	,	,	PUNCT
ejpam-5435	206	10	β;λ	β;λ	PUNCT
ejpam-5435	206	11	)	)	PUNCT
ejpam-5435	207	1	if	if	SCONJ
ejpam-5435	207	2	and	and	CCONJ
ejpam-5435	207	3	only	only	ADV
ejpam-5435	207	4	if	if	SCONJ
ejpam-5435	207	5	1−	1−	NUM
ejpam-5435	207	6	∞∑	∞∑	NUM
ejpam-5435	207	7	j=2	j=2	NOUN
ejpam-5435	207	8	(	(	PUNCT
ejpam-5435	207	9	α+	α+	NOUN
ejpam-5435	207	10	βj	βj	X
ejpam-5435	207	11	α+	α+	X
ejpam-5435	207	12	β	β	NOUN
ejpam-5435	207	13	)	)	PUNCT
ejpam-5435	207	14	(	(	PUNCT
ejpam-5435	207	15	j	j	NOUN
ejpam-5435	207	16	−	−	PROPN
ejpam-5435	207	17	1	1	NUM
ejpam-5435	207	18	)	)	PUNCT
ejpam-5435	207	19	(	(	PUNCT
ejpam-5435	207	20	1−	1−	NUM
ejpam-5435	207	21	χ	χ	NOUN
ejpam-5435	207	22	)	)	PUNCT
ejpam-5435	207	23	eiγ	eiγ	NOUN
ejpam-5435	207	24	−	−	PROPN
ejpam-5435	207	25	2	2	NUM
ejpam-5435	207	26	(	(	PUNCT
ejpam-5435	207	27	1−	1−	NUM
ejpam-5435	207	28	λ	λ	NOUN
ejpam-5435	207	29	)	)	PUNCT
ejpam-5435	207	30	cos	cos	ADP
ejpam-5435	207	31	γχ	γχ	NOUN
ejpam-5435	207	32	2	2	NUM
ejpam-5435	207	33	(	(	PUNCT
ejpam-5435	207	34	1−	1−	NUM
ejpam-5435	207	35	λ	λ	NOUN
ejpam-5435	207	36	)	)	PUNCT
ejpam-5435	207	37	cos	cos	ADP
ejpam-5435	207	38	γχ	γχ	NOUN
ejpam-5435	207	39	ρjξ	ρjξ	INTJ
ejpam-5435	207	40	j−1	j−1	PROPN
ejpam-5435	207	41	̸=	̸=	PROPN
ejpam-5435	207	42	0	0	NUM
ejpam-5435	207	43	.	.	PUNCT
ejpam-5435	208	1	(	(	PUNCT
ejpam-5435	208	2	17	17	NUM
ejpam-5435	208	3	)	)	SYM
ejpam-5435	208	4	3	3	NUM
ejpam-5435	208	5	.	.	X
ejpam-5435	208	6	membership	membership	NOUN
ejpam-5435	208	7	characterizations	characterization	NOUN
ejpam-5435	208	8	now	now	ADV
ejpam-5435	208	9	we	we	PRON
ejpam-5435	208	10	obtain	obtain	VERB
ejpam-5435	208	11	several	several	ADJ
ejpam-5435	208	12	sufficient	sufficient	ADJ
ejpam-5435	208	13	conditions	condition	NOUN
ejpam-5435	208	14	for	for	ADP
ejpam-5435	208	15	the	the	DET
ejpam-5435	208	16	subfamily	subfamily	NOUN
ejpam-5435	208	17	skγ	skγ	PROPN
ejpam-5435	209	1	[	[	X
ejpam-5435	209	2	α	α	X
ejpam-5435	209	3	,	,	PUNCT
ejpam-5435	209	4	β;c	β;c	PRON
ejpam-5435	209	5	,	,	PUNCT
ejpam-5435	209	6	d	d	X
ejpam-5435	209	7	]	]	X
ejpam-5435	209	8	.	.	PUNCT
ejpam-5435	210	1	theorem	theorem	NOUN
ejpam-5435	210	2	3	3	X
ejpam-5435	210	3	.	.	PUNCT
ejpam-5435	211	1	let	let	VERB
ejpam-5435	211	2	ψ	ψ	X
ejpam-5435	211	3	(	(	PUNCT
ejpam-5435	211	4	ξ	ξ	NOUN
ejpam-5435	211	5	)	)	PUNCT
ejpam-5435	211	6	∈	∈	PROPN
ejpam-5435	211	7	a	a	PRON
ejpam-5435	211	8	and	and	CCONJ
ejpam-5435	211	9	let	let	VERB
ejpam-5435	211	10	µ	µ	X
ejpam-5435	211	11	be	be	AUX
ejpam-5435	211	12	a	a	DET
ejpam-5435	211	13	real	real	ADJ
ejpam-5435	211	14	number	number	NOUN
ejpam-5435	211	15	with	with	ADP
ejpam-5435	211	16	0	0	NUM
ejpam-5435	211	17	≤	≤	NOUN
ejpam-5435	211	18	µ	µ	X
ejpam-5435	211	19	<	<	X
ejpam-5435	211	20	1	1	NUM
ejpam-5435	211	21	.	.	PUNCT
ejpam-5435	212	1	if∣∣∣∣(α+	if∣∣∣∣(α+	NOUN
ejpam-5435	212	2	β	β	NOUN
ejpam-5435	212	3	)	)	PUNCT
ejpam-5435	212	4	ξψ′	ξψ′	PROPN
ejpam-5435	212	5	(	(	PUNCT
ejpam-5435	212	6	ξ	ξ	NOUN
ejpam-5435	212	7	)	)	PUNCT
ejpam-5435	212	8	+	+	NUM
ejpam-5435	212	9	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	212	10	(	(	PUNCT
ejpam-5435	212	11	ξ	ξ	X
ejpam-5435	212	12	)	)	PUNCT
ejpam-5435	212	13	αψ	αψ	PROPN
ejpam-5435	212	14	(	(	PUNCT
ejpam-5435	212	15	ξ	ξ	NOUN
ejpam-5435	212	16	)	)	PUNCT
ejpam-5435	212	17	+	+	CCONJ
ejpam-5435	212	18	βξψ′	βξψ′	NUM
ejpam-5435	212	19	(	(	PUNCT
ejpam-5435	212	20	ξ	ξ	NOUN
ejpam-5435	212	21	)	)	PUNCT
ejpam-5435	212	22	−	−	PROPN
ejpam-5435	212	23	1	1	NUM
ejpam-5435	212	24	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5435	212	25	≤	≤	NOUN
ejpam-5435	212	26	1−	1−	NUM
ejpam-5435	212	27	µ	µ	X
ejpam-5435	212	28	(	(	PUNCT
ejpam-5435	212	29	ξ	ξ	PROPN
ejpam-5435	212	30	∈	∈	PROPN
ejpam-5435	212	31	u	u	NOUN
ejpam-5435	212	32	)	)	PUNCT
ejpam-5435	212	33	,	,	PUNCT
ejpam-5435	212	34	(	(	PUNCT
ejpam-5435	212	35	18	18	NUM
ejpam-5435	212	36	)	)	PUNCT
ejpam-5435	212	37	then	then	ADV
ejpam-5435	212	38	ψ	ψ	X
ejpam-5435	212	39	(	(	PUNCT
ejpam-5435	212	40	ξ	ξ	NOUN
ejpam-5435	212	41	)	)	PUNCT
ejpam-5435	212	42	∈	∈	PROPN
ejpam-5435	212	43	skγ	skγ	PUNCT
ejpam-5435	213	1	[	[	X
ejpam-5435	213	2	α	α	X
ejpam-5435	213	3	,	,	PUNCT
ejpam-5435	213	4	β;c	β;c	PRON
ejpam-5435	213	5	,	,	PUNCT
ejpam-5435	213	6	d	d	X
ejpam-5435	213	7	]	]	PUNCT
ejpam-5435	213	8	provided	provide	VERB
ejpam-5435	213	9	that	that	SCONJ
ejpam-5435	213	10	|γ|	|γ|	VERB
ejpam-5435	213	11	≤	≤	ADJ
ejpam-5435	213	12	cos−1	cos−1	NOUN
ejpam-5435	213	13	[	[	PUNCT
ejpam-5435	213	14	(	(	PUNCT
ejpam-5435	213	15	1−	1−	NUM
ejpam-5435	213	16	µ	µ	NUM
ejpam-5435	213	17	)	)	PUNCT
ejpam-5435	213	18	(	(	PUNCT
ejpam-5435	213	19	1−d	1−d	NUM
ejpam-5435	213	20	)	)	PUNCT
ejpam-5435	213	21	c	c	NOUN
ejpam-5435	213	22	−d	−d	VERB
ejpam-5435	213	23	]	]	PUNCT
ejpam-5435	213	24	.	.	PUNCT
ejpam-5435	214	1	(	(	PUNCT
ejpam-5435	214	2	19	19	NUM
ejpam-5435	214	3	)	)	PUNCT
ejpam-5435	214	4	t.	t.	NOUN
ejpam-5435	214	5	m.	m.	NOUN
ejpam-5435	214	6	seoudy	seoudy	PROPN
ejpam-5435	214	7	/	/	SYM
ejpam-5435	214	8	eur	eur	PROPN
ejpam-5435	214	9	.	.	PUNCT
ejpam-5435	215	1	j.	j.	PROPN
ejpam-5435	215	2	pure	pure	PROPN
ejpam-5435	215	3	appl	appl	PROPN
ejpam-5435	215	4	.	.	PROPN
ejpam-5435	215	5	math	math	PROPN
ejpam-5435	215	6	,	,	PUNCT
ejpam-5435	215	7	17	17	NUM
ejpam-5435	215	8	(	(	PUNCT
ejpam-5435	215	9	4	4	NUM
ejpam-5435	215	10	)	)	PUNCT
ejpam-5435	215	11	(	(	PUNCT
ejpam-5435	215	12	2024	2024	NUM
ejpam-5435	215	13	)	)	PUNCT
ejpam-5435	215	14	,	,	PUNCT
ejpam-5435	215	15	3336	3336	NUM
ejpam-5435	215	16	-	-	SYM
ejpam-5435	215	17	3355	3355	NUM
ejpam-5435	215	18	3343	3343	NUM
ejpam-5435	215	19	proof	proof	NOUN
ejpam-5435	215	20	.	.	PUNCT
ejpam-5435	216	1	from	from	ADP
ejpam-5435	216	2	(	(	PUNCT
ejpam-5435	216	3	18	18	NUM
ejpam-5435	216	4	)	)	PUNCT
ejpam-5435	216	5	it	it	PRON
ejpam-5435	216	6	follows	follow	VERB
ejpam-5435	216	7	that	that	SCONJ
ejpam-5435	216	8	(	(	PUNCT
ejpam-5435	216	9	α+	α+	X
ejpam-5435	216	10	β	β	NOUN
ejpam-5435	216	11	)	)	PUNCT
ejpam-5435	216	12	ξψ′	ξψ′	PROPN
ejpam-5435	216	13	(	(	PUNCT
ejpam-5435	216	14	ξ	ξ	NOUN
ejpam-5435	216	15	)	)	PUNCT
ejpam-5435	217	1	+	+	NUM
ejpam-5435	217	2	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	217	3	(	(	PUNCT
ejpam-5435	217	4	ξ	ξ	X
ejpam-5435	217	5	)	)	PUNCT
ejpam-5435	217	6	αψ	αψ	PROPN
ejpam-5435	217	7	(	(	PUNCT
ejpam-5435	217	8	ξ	ξ	NOUN
ejpam-5435	217	9	)	)	PUNCT
ejpam-5435	217	10	+	+	CCONJ
ejpam-5435	217	11	βξψ′	βξψ′	NUM
ejpam-5435	217	12	(	(	PUNCT
ejpam-5435	217	13	ξ	ξ	X
ejpam-5435	217	14	)	)	PUNCT
ejpam-5435	217	15	=	=	SYM
ejpam-5435	217	16	1	1	NUM
ejpam-5435	217	17	+	+	CCONJ
ejpam-5435	217	18	(	(	PUNCT
ejpam-5435	217	19	1−	1−	NUM
ejpam-5435	217	20	µ)ω	µ)ω	X
ejpam-5435	217	21	(	(	PUNCT
ejpam-5435	217	22	ξ	ξ	X
ejpam-5435	217	23	)	)	PUNCT
ejpam-5435	217	24	,	,	PUNCT
ejpam-5435	217	25	where	where	SCONJ
ejpam-5435	217	26	ω	ω	PROPN
ejpam-5435	217	27	(	(	PUNCT
ejpam-5435	217	28	ξ	ξ	PROPN
ejpam-5435	217	29	)	)	PUNCT
ejpam-5435	217	30	∈	∈	PROPN
ejpam-5435	217	31	ω	ω	NOUN
ejpam-5435	217	32	.	.	PUNCT
ejpam-5435	218	1	we	we	PRON
ejpam-5435	218	2	have	have	VERB
ejpam-5435	218	3	ℜ	ℜ	PROPN
ejpam-5435	218	4	{	{	PUNCT
ejpam-5435	218	5	eiγ	eiγ	NOUN
ejpam-5435	218	6	(	(	PUNCT
ejpam-5435	218	7	α+	α+	X
ejpam-5435	218	8	β	β	NOUN
ejpam-5435	218	9	)	)	PUNCT
ejpam-5435	218	10	ξψ′	ξψ′	PROPN
ejpam-5435	218	11	(	(	PUNCT
ejpam-5435	218	12	ξ	ξ	NOUN
ejpam-5435	218	13	)	)	PUNCT
ejpam-5435	218	14	+	+	NUM
ejpam-5435	218	15	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	218	16	(	(	PUNCT
ejpam-5435	218	17	ξ	ξ	X
ejpam-5435	218	18	)	)	PUNCT
ejpam-5435	218	19	αψ	αψ	PROPN
ejpam-5435	218	20	(	(	PUNCT
ejpam-5435	218	21	ξ	ξ	NOUN
ejpam-5435	218	22	)	)	PUNCT
ejpam-5435	218	23	+	+	CCONJ
ejpam-5435	218	24	βξψ′	βξψ′	NUM
ejpam-5435	218	25	(	(	PUNCT
ejpam-5435	218	26	ξ	ξ	NOUN
ejpam-5435	218	27	)	)	PUNCT
ejpam-5435	218	28	}	}	PUNCT
ejpam-5435	218	29	=	=	SYM
ejpam-5435	218	30	ℜ	ℜ	ADJ
ejpam-5435	218	31	{	{	PUNCT
ejpam-5435	218	32	eiγ	eiγ	NOUN
ejpam-5435	218	33	}	}	PUNCT
ejpam-5435	218	34	+	+	CCONJ
ejpam-5435	218	35	(	(	PUNCT
ejpam-5435	218	36	1−	1−	NUM
ejpam-5435	218	37	µ)ℜ	µ)ℜ	NOUN
ejpam-5435	218	38	{	{	PUNCT
ejpam-5435	218	39	eiγω	eiγω	X
ejpam-5435	218	40	(	(	PUNCT
ejpam-5435	218	41	ξ	ξ	NOUN
ejpam-5435	218	42	)	)	PUNCT
ejpam-5435	218	43	}	}	PUNCT
ejpam-5435	218	44	≥	≥	PROPN
ejpam-5435	218	45	cos	cos	ADP
ejpam-5435	218	46	γ	γ	X
ejpam-5435	218	47	−	−	PROPN
ejpam-5435	218	48	(	(	PUNCT
ejpam-5435	218	49	1−	1−	NUM
ejpam-5435	218	50	µ	µ	NUM
ejpam-5435	218	51	)	)	PUNCT
ejpam-5435	218	52	∣∣eiγω	∣∣eiγω	NOUN
ejpam-5435	218	53	(	(	PUNCT
ejpam-5435	218	54	ξ	ξ	NOUN
ejpam-5435	218	55	)	)	PUNCT
ejpam-5435	218	56	∣∣	∣∣	X
ejpam-5435	218	57	>	>	X
ejpam-5435	218	58	cos	cos	PROPN
ejpam-5435	218	59	γ	γ	X
ejpam-5435	218	60	−	−	PROPN
ejpam-5435	218	61	(	(	PUNCT
ejpam-5435	218	62	1−	1−	NUM
ejpam-5435	218	63	µ	µ	NUM
ejpam-5435	218	64	)	)	PUNCT
ejpam-5435	218	65	≥	≥	NOUN
ejpam-5435	218	66	(	(	PUNCT
ejpam-5435	218	67	1−	1−	NUM
ejpam-5435	218	68	c	c	NOUN
ejpam-5435	218	69	1−d	1−d	NUM
ejpam-5435	218	70	)	)	PUNCT
ejpam-5435	219	1	cos	cos	SCONJ
ejpam-5435	219	2	γ	γ	PROPN
ejpam-5435	219	3	provided	provide	VERB
ejpam-5435	219	4	that	that	SCONJ
ejpam-5435	219	5	|γ|	|γ|	VERB
ejpam-5435	219	6	≤	≤	ADJ
ejpam-5435	219	7	cos−1	cos−1	NOUN
ejpam-5435	219	8	[	[	PUNCT
ejpam-5435	219	9	(	(	PUNCT
ejpam-5435	219	10	1−µ)(1−d	1−µ)(1−d	NUM
ejpam-5435	219	11	)	)	PUNCT
ejpam-5435	219	12	c−d	c−d	NOUN
ejpam-5435	219	13	]	]	PUNCT
ejpam-5435	219	14	.	.	PUNCT
ejpam-5435	220	1	thus	thus	ADV
ejpam-5435	220	2	,	,	PUNCT
ejpam-5435	220	3	the	the	DET
ejpam-5435	220	4	proof	proof	NOUN
ejpam-5435	220	5	is	be	AUX
ejpam-5435	220	6	completed	complete	VERB
ejpam-5435	220	7	.	.	PUNCT
ejpam-5435	221	1	putting	put	VERB
ejpam-5435	221	2	µ	µ	NOUN
ejpam-5435	221	3	=	=	SYM
ejpam-5435	221	4	1−	1−	NUM
ejpam-5435	221	5	(	(	PUNCT
ejpam-5435	221	6	c−d	c−d	X
ejpam-5435	221	7	)	)	PUNCT
ejpam-5435	221	8	cos	cos	ADP
ejpam-5435	221	9	γ	γ	X
ejpam-5435	221	10	(	(	PUNCT
ejpam-5435	221	11	1−d	1−d	NUM
ejpam-5435	221	12	)	)	PUNCT
ejpam-5435	221	13	in	in	ADP
ejpam-5435	221	14	theorem	theorem	NOUN
ejpam-5435	221	15	3	3	NUM
ejpam-5435	221	16	,	,	PUNCT
ejpam-5435	221	17	we	we	PRON
ejpam-5435	221	18	obtain	obtain	VERB
ejpam-5435	221	19	corollary	corollary	ADJ
ejpam-5435	221	20	9	9	NUM
ejpam-5435	221	21	.	.	PUNCT
ejpam-5435	222	1	if	if	SCONJ
ejpam-5435	222	2	ψ	ψ	X
ejpam-5435	222	3	(	(	PUNCT
ejpam-5435	222	4	ξ	ξ	NOUN
ejpam-5435	222	5	)	)	PUNCT
ejpam-5435	222	6	∈	∈	PROPN
ejpam-5435	222	7	a	a	DET
ejpam-5435	222	8	with∣∣∣∣(α+	with∣∣∣∣(α+	NOUN
ejpam-5435	222	9	β	β	NOUN
ejpam-5435	222	10	)	)	PUNCT
ejpam-5435	222	11	ξψ′	ξψ′	PROPN
ejpam-5435	222	12	(	(	PUNCT
ejpam-5435	222	13	ξ	ξ	NOUN
ejpam-5435	222	14	)	)	PUNCT
ejpam-5435	223	1	+	+	NUM
ejpam-5435	223	2	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	223	3	(	(	PUNCT
ejpam-5435	223	4	ξ	ξ	X
ejpam-5435	223	5	)	)	PUNCT
ejpam-5435	223	6	αψ	αψ	PROPN
ejpam-5435	223	7	(	(	PUNCT
ejpam-5435	223	8	ξ	ξ	NOUN
ejpam-5435	223	9	)	)	PUNCT
ejpam-5435	223	10	+	+	CCONJ
ejpam-5435	223	11	βξψ′	βξψ′	NUM
ejpam-5435	223	12	(	(	PUNCT
ejpam-5435	223	13	ξ	ξ	NOUN
ejpam-5435	223	14	)	)	PUNCT
ejpam-5435	223	15	−	−	PROPN
ejpam-5435	223	16	1	1	NUM
ejpam-5435	223	17	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5435	223	18	≤	≤	NOUN
ejpam-5435	223	19	(	(	PUNCT
ejpam-5435	223	20	c	c	PROPN
ejpam-5435	223	21	−d	−d	PROPN
ejpam-5435	223	22	)	)	PUNCT
ejpam-5435	224	1	cos	cos	ADP
ejpam-5435	224	2	γ	γ	X
ejpam-5435	224	3	(	(	PUNCT
ejpam-5435	224	4	1−d	1−d	NUM
ejpam-5435	224	5	)	)	PUNCT
ejpam-5435	224	6	(	(	PUNCT
ejpam-5435	224	7	ξ	ξ	PROPN
ejpam-5435	224	8	∈	∈	PROPN
ejpam-5435	224	9	u	u	NOUN
ejpam-5435	224	10	)	)	PUNCT
ejpam-5435	224	11	,	,	PUNCT
ejpam-5435	224	12	(	(	PUNCT
ejpam-5435	224	13	20	20	NUM
ejpam-5435	224	14	)	)	PUNCT
ejpam-5435	224	15	then	then	ADV
ejpam-5435	224	16	ψ	ψ	X
ejpam-5435	224	17	(	(	PUNCT
ejpam-5435	224	18	ξ	ξ	NOUN
ejpam-5435	224	19	)	)	PUNCT
ejpam-5435	224	20	∈	∈	PROPN
ejpam-5435	224	21	skγ	skγ	PUNCT
ejpam-5435	225	1	[	[	X
ejpam-5435	225	2	α	α	X
ejpam-5435	225	3	,	,	PUNCT
ejpam-5435	225	4	β;c	β;c	PRON
ejpam-5435	225	5	,	,	PUNCT
ejpam-5435	225	6	d	d	X
ejpam-5435	225	7	]	]	X
ejpam-5435	225	8	.	.	PUNCT
ejpam-5435	226	1	putting	put	VERB
ejpam-5435	226	2	γ	γ	NOUN
ejpam-5435	226	3	=	=	SYM
ejpam-5435	226	4	0	0	NUM
ejpam-5435	226	5	in	in	ADP
ejpam-5435	226	6	corollary	corollary	ADJ
ejpam-5435	226	7	9	9	NUM
ejpam-5435	226	8	,	,	PUNCT
ejpam-5435	226	9	we	we	PRON
ejpam-5435	226	10	obtain	obtain	VERB
ejpam-5435	226	11	corollary	corollary	ADJ
ejpam-5435	226	12	10	10	NUM
ejpam-5435	226	13	.	.	PUNCT
ejpam-5435	227	1	if	if	SCONJ
ejpam-5435	227	2	ψ	ψ	X
ejpam-5435	227	3	(	(	PUNCT
ejpam-5435	227	4	ξ	ξ	NOUN
ejpam-5435	227	5	)	)	PUNCT
ejpam-5435	227	6	∈	∈	PROPN
ejpam-5435	227	7	a	a	DET
ejpam-5435	227	8	with∣∣∣∣(α+	with∣∣∣∣(α+	NOUN
ejpam-5435	227	9	β	β	NOUN
ejpam-5435	227	10	)	)	PUNCT
ejpam-5435	227	11	ξψ′	ξψ′	PROPN
ejpam-5435	227	12	(	(	PUNCT
ejpam-5435	227	13	ξ	ξ	NOUN
ejpam-5435	227	14	)	)	PUNCT
ejpam-5435	228	1	+	+	NUM
ejpam-5435	228	2	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	228	3	(	(	PUNCT
ejpam-5435	228	4	ξ	ξ	X
ejpam-5435	228	5	)	)	PUNCT
ejpam-5435	228	6	αψ	αψ	PROPN
ejpam-5435	228	7	(	(	PUNCT
ejpam-5435	228	8	ξ	ξ	NOUN
ejpam-5435	228	9	)	)	PUNCT
ejpam-5435	228	10	+	+	CCONJ
ejpam-5435	228	11	βξψ′	βξψ′	NUM
ejpam-5435	228	12	(	(	PUNCT
ejpam-5435	228	13	ξ	ξ	NOUN
ejpam-5435	228	14	)	)	PUNCT
ejpam-5435	228	15	−	−	PROPN
ejpam-5435	228	16	1	1	NUM
ejpam-5435	228	17	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5435	228	18	≤	≤	NOUN
ejpam-5435	228	19	c	c	AUX
ejpam-5435	228	20	−d	−d	PROPN
ejpam-5435	228	21	1−d	1−d	NUM
ejpam-5435	228	22	(	(	PUNCT
ejpam-5435	228	23	ξ	ξ	PROPN
ejpam-5435	228	24	∈	∈	PROPN
ejpam-5435	228	25	u	u	NOUN
ejpam-5435	228	26	)	)	PUNCT
ejpam-5435	228	27	,	,	PUNCT
ejpam-5435	228	28	then	then	ADV
ejpam-5435	228	29	ψ	ψ	X
ejpam-5435	228	30	(	(	PUNCT
ejpam-5435	228	31	ξ	ξ	NOUN
ejpam-5435	228	32	)	)	PUNCT
ejpam-5435	228	33	∈	∈	NOUN
ejpam-5435	228	34	sk	sk	X
ejpam-5435	229	1	[	[	X
ejpam-5435	229	2	α	α	X
ejpam-5435	229	3	,	,	PUNCT
ejpam-5435	229	4	β;c	β;c	PRON
ejpam-5435	229	5	,	,	PUNCT
ejpam-5435	229	6	d	d	X
ejpam-5435	229	7	]	]	X
ejpam-5435	229	8	.	.	PUNCT
ejpam-5435	230	1	putting	put	VERB
ejpam-5435	230	2	β	β	X
ejpam-5435	230	3	=	=	PUNCT
ejpam-5435	230	4	0	0	NUM
ejpam-5435	230	5	in	in	ADP
ejpam-5435	230	6	corollary	corollary	ADJ
ejpam-5435	230	7	9	9	NUM
ejpam-5435	230	8	,	,	PUNCT
ejpam-5435	230	9	we	we	PRON
ejpam-5435	230	10	obtain	obtain	VERB
ejpam-5435	230	11	corollary	corollary	ADJ
ejpam-5435	230	12	11	11	NUM
ejpam-5435	230	13	.	.	PUNCT
ejpam-5435	231	1	if	if	SCONJ
ejpam-5435	231	2	ψ	ψ	X
ejpam-5435	231	3	(	(	PUNCT
ejpam-5435	231	4	ξ	ξ	NOUN
ejpam-5435	231	5	)	)	PUNCT
ejpam-5435	231	6	∈	∈	PROPN
ejpam-5435	231	7	a	a	DET
ejpam-5435	231	8	with∣∣∣∣ξψ′	with∣∣∣∣ξψ′	PROPN
ejpam-5435	231	9	(	(	PUNCT
ejpam-5435	231	10	ξ	ξ	NOUN
ejpam-5435	231	11	)	)	PUNCT
ejpam-5435	231	12	ψ	ψ	X
ejpam-5435	231	13	(	(	PUNCT
ejpam-5435	231	14	ξ	ξ	NOUN
ejpam-5435	231	15	)	)	PUNCT
ejpam-5435	231	16	−	−	PROPN
ejpam-5435	231	17	1	1	NUM
ejpam-5435	231	18	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5435	231	19	≤	≤	NOUN
ejpam-5435	231	20	(	(	PUNCT
ejpam-5435	231	21	c	c	PROPN
ejpam-5435	231	22	−d	−d	PROPN
ejpam-5435	231	23	)	)	PUNCT
ejpam-5435	232	1	cos	cos	ADP
ejpam-5435	232	2	γ	γ	X
ejpam-5435	232	3	(	(	PUNCT
ejpam-5435	232	4	1−d	1−d	NUM
ejpam-5435	232	5	)	)	PUNCT
ejpam-5435	232	6	(	(	PUNCT
ejpam-5435	232	7	ξ	ξ	PROPN
ejpam-5435	232	8	∈	∈	PROPN
ejpam-5435	232	9	u	u	NOUN
ejpam-5435	232	10	)	)	PUNCT
ejpam-5435	232	11	,	,	PUNCT
ejpam-5435	232	12	then	then	ADV
ejpam-5435	232	13	ψ	ψ	X
ejpam-5435	232	14	(	(	PUNCT
ejpam-5435	232	15	ξ	ξ	NOUN
ejpam-5435	232	16	)	)	PUNCT
ejpam-5435	232	17	∈	∈	NOUN
ejpam-5435	232	18	sγ	sγ	VERB
ejpam-5435	233	1	[	[	X
ejpam-5435	233	2	c	c	X
ejpam-5435	233	3	,	,	PUNCT
ejpam-5435	233	4	d	d	NOUN
ejpam-5435	233	5	]	]	X
ejpam-5435	233	6	.	.	PUNCT
ejpam-5435	234	1	putting	put	VERB
ejpam-5435	234	2	α	α	NOUN
ejpam-5435	234	3	=	=	NOUN
ejpam-5435	234	4	0	0	NUM
ejpam-5435	234	5	in	in	ADP
ejpam-5435	234	6	corollary	corollary	ADJ
ejpam-5435	234	7	9	9	NUM
ejpam-5435	234	8	,	,	PUNCT
ejpam-5435	234	9	we	we	PRON
ejpam-5435	234	10	obtain	obtain	VERB
ejpam-5435	234	11	t.	t.	NOUN
ejpam-5435	234	12	m.	m.	NOUN
ejpam-5435	234	13	seoudy	seoudy	PROPN
ejpam-5435	234	14	/	/	SYM
ejpam-5435	234	15	eur	eur	PROPN
ejpam-5435	234	16	.	.	PUNCT
ejpam-5435	235	1	j.	j.	PROPN
ejpam-5435	235	2	pure	pure	PROPN
ejpam-5435	235	3	appl	appl	PROPN
ejpam-5435	235	4	.	.	PROPN
ejpam-5435	235	5	math	math	PROPN
ejpam-5435	235	6	,	,	PUNCT
ejpam-5435	235	7	17	17	NUM
ejpam-5435	235	8	(	(	PUNCT
ejpam-5435	235	9	4	4	NUM
ejpam-5435	235	10	)	)	PUNCT
ejpam-5435	235	11	(	(	PUNCT
ejpam-5435	235	12	2024	2024	NUM
ejpam-5435	235	13	)	)	PUNCT
ejpam-5435	235	14	,	,	PUNCT
ejpam-5435	235	15	3336	3336	NUM
ejpam-5435	235	16	-	-	SYM
ejpam-5435	235	17	3355	3355	NUM
ejpam-5435	235	18	3344	3344	NUM
ejpam-5435	235	19	corollary	corollary	NOUN
ejpam-5435	235	20	12	12	NUM
ejpam-5435	235	21	.	.	PUNCT
ejpam-5435	236	1	if	if	SCONJ
ejpam-5435	236	2	ψ	ψ	X
ejpam-5435	236	3	(	(	PUNCT
ejpam-5435	236	4	ξ	ξ	NOUN
ejpam-5435	236	5	)	)	PUNCT
ejpam-5435	236	6	∈	∈	PROPN
ejpam-5435	236	7	a	a	DET
ejpam-5435	236	8	with∣∣∣∣ξ2ψ′′	with∣∣∣∣ξ2ψ′′	X
ejpam-5435	236	9	(	(	PUNCT
ejpam-5435	236	10	ξ	ξ	NOUN
ejpam-5435	236	11	)	)	PUNCT
ejpam-5435	236	12	ξψ′	ξψ′	NOUN
ejpam-5435	236	13	(	(	PUNCT
ejpam-5435	236	14	ξ	ξ	NOUN
ejpam-5435	236	15	)	)	PUNCT
ejpam-5435	236	16	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5435	236	17	≤	≤	NOUN
ejpam-5435	236	18	(	(	PUNCT
ejpam-5435	236	19	c	c	PROPN
ejpam-5435	236	20	−d	−d	PROPN
ejpam-5435	236	21	)	)	PUNCT
ejpam-5435	237	1	cos	cos	ADP
ejpam-5435	237	2	γ	γ	X
ejpam-5435	237	3	(	(	PUNCT
ejpam-5435	237	4	1−d	1−d	NUM
ejpam-5435	237	5	)	)	PUNCT
ejpam-5435	237	6	(	(	PUNCT
ejpam-5435	237	7	ξ	ξ	PROPN
ejpam-5435	237	8	∈	∈	PROPN
ejpam-5435	237	9	u	u	NOUN
ejpam-5435	237	10	)	)	PUNCT
ejpam-5435	237	11	,	,	PUNCT
ejpam-5435	237	12	then	then	ADV
ejpam-5435	237	13	ψ	ψ	X
ejpam-5435	237	14	(	(	PUNCT
ejpam-5435	237	15	ξ	ξ	NOUN
ejpam-5435	237	16	)	)	PUNCT
ejpam-5435	237	17	∈	∈	PROPN
ejpam-5435	237	18	kγ	kγ	X
ejpam-5435	238	1	[	[	X
ejpam-5435	238	2	c	c	X
ejpam-5435	238	3	,	,	PUNCT
ejpam-5435	238	4	d	d	NOUN
ejpam-5435	238	5	]	]	X
ejpam-5435	238	6	.	.	PUNCT
ejpam-5435	239	1	taking	take	VERB
ejpam-5435	239	2	c	c	NOUN
ejpam-5435	239	3	=	=	SYM
ejpam-5435	239	4	1−	1−	NUM
ejpam-5435	239	5	2λ	2λ	NUM
ejpam-5435	239	6	(	(	PUNCT
ejpam-5435	239	7	0	0	NUM
ejpam-5435	239	8	≤	≤	NUM
ejpam-5435	239	9	λ	λ	X
ejpam-5435	239	10	<	<	X
ejpam-5435	239	11	1	1	NUM
ejpam-5435	239	12	)	)	PUNCT
ejpam-5435	239	13	and	and	CCONJ
ejpam-5435	239	14	d	d	NOUN
ejpam-5435	239	15	=	=	SYM
ejpam-5435	239	16	−1	−1	NOUN
ejpam-5435	239	17	in	in	ADP
ejpam-5435	239	18	corollary	corollary	ADJ
ejpam-5435	239	19	9	9	NUM
ejpam-5435	239	20	,	,	PUNCT
ejpam-5435	239	21	we	we	PRON
ejpam-5435	239	22	obtain	obtain	VERB
ejpam-5435	239	23	corollary	corollary	ADJ
ejpam-5435	239	24	13	13	NUM
ejpam-5435	239	25	.	.	PUNCT
ejpam-5435	240	1	if	if	SCONJ
ejpam-5435	240	2	ψ	ψ	X
ejpam-5435	240	3	(	(	PUNCT
ejpam-5435	240	4	ξ	ξ	NOUN
ejpam-5435	240	5	)	)	PUNCT
ejpam-5435	240	6	∈	∈	PROPN
ejpam-5435	240	7	a	a	DET
ejpam-5435	240	8	with∣∣∣∣(α+	with∣∣∣∣(α+	NOUN
ejpam-5435	240	9	β	β	NOUN
ejpam-5435	240	10	)	)	PUNCT
ejpam-5435	240	11	ξψ′	ξψ′	PROPN
ejpam-5435	240	12	(	(	PUNCT
ejpam-5435	240	13	ξ	ξ	NOUN
ejpam-5435	240	14	)	)	PUNCT
ejpam-5435	241	1	+	+	NUM
ejpam-5435	241	2	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	241	3	(	(	PUNCT
ejpam-5435	241	4	ξ	ξ	X
ejpam-5435	241	5	)	)	PUNCT
ejpam-5435	241	6	αψ	αψ	PROPN
ejpam-5435	241	7	(	(	PUNCT
ejpam-5435	241	8	ξ	ξ	NOUN
ejpam-5435	241	9	)	)	PUNCT
ejpam-5435	241	10	+	+	CCONJ
ejpam-5435	241	11	βξψ′	βξψ′	NUM
ejpam-5435	241	12	(	(	PUNCT
ejpam-5435	241	13	ξ	ξ	NOUN
ejpam-5435	241	14	)	)	PUNCT
ejpam-5435	241	15	−	−	PROPN
ejpam-5435	241	16	1	1	NUM
ejpam-5435	241	17	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5435	241	18	≤	≤	NOUN
ejpam-5435	241	19	(	(	PUNCT
ejpam-5435	241	20	1−	1−	NUM
ejpam-5435	241	21	λ	λ	NOUN
ejpam-5435	241	22	)	)	PUNCT
ejpam-5435	241	23	cos	cos	ADP
ejpam-5435	241	24	γ	γ	X
ejpam-5435	241	25	(	(	PUNCT
ejpam-5435	241	26	ξ	ξ	PROPN
ejpam-5435	241	27	∈	∈	PROPN
ejpam-5435	241	28	u	u	NOUN
ejpam-5435	241	29	)	)	PUNCT
ejpam-5435	241	30	,	,	PUNCT
ejpam-5435	241	31	then	then	ADV
ejpam-5435	241	32	ψ	ψ	X
ejpam-5435	241	33	(	(	PUNCT
ejpam-5435	241	34	ξ	ξ	NOUN
ejpam-5435	241	35	)	)	PUNCT
ejpam-5435	241	36	∈	∈	PROPN
ejpam-5435	241	37	skγ	skγ	NOUN
ejpam-5435	241	38	(	(	PUNCT
ejpam-5435	241	39	α	α	NOUN
ejpam-5435	241	40	,	,	PUNCT
ejpam-5435	241	41	β;λ	β;λ	NUM
ejpam-5435	241	42	)	)	PUNCT
ejpam-5435	241	43	.	.	PUNCT
ejpam-5435	242	1	in	in	ADP
ejpam-5435	242	2	the	the	DET
ejpam-5435	242	3	next	next	ADJ
ejpam-5435	242	4	theorem	theorem	NOUN
ejpam-5435	242	5	,	,	PUNCT
ejpam-5435	242	6	we	we	PRON
ejpam-5435	242	7	obtain	obtain	VERB
ejpam-5435	242	8	a	a	DET
ejpam-5435	242	9	coefficients	coefficient	NOUN
ejpam-5435	242	10	theorem	theorem	VERB
ejpam-5435	242	11	for	for	ADP
ejpam-5435	242	12	skγ	skγ	PROPN
ejpam-5435	242	13	[	[	X
ejpam-5435	242	14	α	α	X
ejpam-5435	242	15	,	,	PUNCT
ejpam-5435	242	16	β;c	β;c	PRON
ejpam-5435	242	17	,	,	PUNCT
ejpam-5435	242	18	d	d	X
ejpam-5435	242	19	]	]	PUNCT
ejpam-5435	242	20	.	.	PUNCT
ejpam-5435	243	1	theorem	theorem	ADJ
ejpam-5435	243	2	4	4	NUM
ejpam-5435	243	3	.	.	PUNCT
ejpam-5435	243	4	ψ	ψ	X
ejpam-5435	243	5	(	(	PUNCT
ejpam-5435	243	6	ξ	ξ	NOUN
ejpam-5435	243	7	)	)	PUNCT
ejpam-5435	243	8	∈	∈	PROPN
ejpam-5435	244	1	skγ	skγ	PUNCT
ejpam-5435	245	1	[	[	X
ejpam-5435	245	2	α	α	X
ejpam-5435	245	3	,	,	PUNCT
ejpam-5435	245	4	β;c	β;c	PRON
ejpam-5435	245	5	,	,	PUNCT
ejpam-5435	245	6	d	d	X
ejpam-5435	245	7	]	]	X
ejpam-5435	245	8	if	if	SCONJ
ejpam-5435	245	9	∞∑	∞∑	NUM
ejpam-5435	245	10	j=2	j=2	PROPN
ejpam-5435	245	11	(	(	PUNCT
ejpam-5435	245	12	α+	α+	NOUN
ejpam-5435	245	13	βj	βj	X
ejpam-5435	245	14	α+	α+	X
ejpam-5435	245	15	β	β	NOUN
ejpam-5435	245	16	)	)	PUNCT
ejpam-5435	246	1	[	[	X
ejpam-5435	246	2	(	(	PUNCT
ejpam-5435	246	3	1−d	1−d	NUM
ejpam-5435	246	4	)	)	PUNCT
ejpam-5435	246	5	(	(	PUNCT
ejpam-5435	246	6	j	j	NOUN
ejpam-5435	246	7	−	−	PROPN
ejpam-5435	246	8	1	1	NUM
ejpam-5435	246	9	)	)	PUNCT
ejpam-5435	246	10	+	+	CCONJ
ejpam-5435	246	11	(	(	PUNCT
ejpam-5435	246	12	c	c	PROPN
ejpam-5435	246	13	−d	−d	PROPN
ejpam-5435	246	14	)	)	PUNCT
ejpam-5435	246	15	cos	cos	PROPN
ejpam-5435	246	16	γ	γ	X
ejpam-5435	246	17	]	]	X
ejpam-5435	246	18	|ρj	|ρj	X
ejpam-5435	246	19	|	|	ADV
ejpam-5435	246	20	≤	≤	NUM
ejpam-5435	246	21	(	(	PUNCT
ejpam-5435	246	22	c	c	PROPN
ejpam-5435	246	23	−d	−d	PROPN
ejpam-5435	246	24	)	)	PUNCT
ejpam-5435	247	1	cos	cos	PROPN
ejpam-5435	247	2	γ	γ	PROPN
ejpam-5435	247	3	.	.	PROPN
ejpam-5435	247	4	(	(	PUNCT
ejpam-5435	247	5	21	21	NUM
ejpam-5435	247	6	)	)	PUNCT
ejpam-5435	247	7	proof	proof	NOUN
ejpam-5435	247	8	.	.	PUNCT
ejpam-5435	248	1	from	from	ADP
ejpam-5435	248	2	corollary	corollary	ADJ
ejpam-5435	248	3	9	9	NUM
ejpam-5435	248	4	,	,	PUNCT
ejpam-5435	248	5	it	it	PRON
ejpam-5435	248	6	suffices	suffice	VERB
ejpam-5435	248	7	to	to	PART
ejpam-5435	248	8	prove	prove	VERB
ejpam-5435	248	9	that	that	SCONJ
ejpam-5435	248	10	(	(	PUNCT
ejpam-5435	248	11	20	20	NUM
ejpam-5435	248	12	)	)	PUNCT
ejpam-5435	248	13	is	be	AUX
ejpam-5435	248	14	satisfied	satisfied	ADJ
ejpam-5435	248	15	.	.	PUNCT
ejpam-5435	249	1	we	we	PRON
ejpam-5435	249	2	have	have	VERB
ejpam-5435	249	3	∣∣∣∣(α+	∣∣∣∣(α+	NOUN
ejpam-5435	249	4	β	β	NOUN
ejpam-5435	249	5	)	)	PUNCT
ejpam-5435	249	6	ξψ′	ξψ′	PROPN
ejpam-5435	249	7	(	(	PUNCT
ejpam-5435	249	8	ξ	ξ	NOUN
ejpam-5435	249	9	)	)	PUNCT
ejpam-5435	249	10	+	+	NUM
ejpam-5435	249	11	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	249	12	(	(	PUNCT
ejpam-5435	249	13	ξ	ξ	X
ejpam-5435	249	14	)	)	PUNCT
ejpam-5435	249	15	αψ	αψ	PROPN
ejpam-5435	249	16	(	(	PUNCT
ejpam-5435	249	17	ξ	ξ	NOUN
ejpam-5435	249	18	)	)	PUNCT
ejpam-5435	249	19	+	+	CCONJ
ejpam-5435	249	20	βξψ′	βξψ′	NUM
ejpam-5435	249	21	(	(	PUNCT
ejpam-5435	249	22	ξ	ξ	NOUN
ejpam-5435	249	23	)	)	PUNCT
ejpam-5435	249	24	−	−	PROPN
ejpam-5435	249	25	1	1	NUM
ejpam-5435	249	26	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5435	249	27	=	=	SYM
ejpam-5435	249	28	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5435	250	1	∞∑	∞∑	NUM
ejpam-5435	250	2	j=2	j=2	PROPN
ejpam-5435	250	3	(	(	PUNCT
ejpam-5435	250	4	α+βj	α+βj	PROPN
ejpam-5435	250	5	α+β	α+β	PROPN
ejpam-5435	250	6	)	)	PUNCT
ejpam-5435	250	7	(	(	PUNCT
ejpam-5435	250	8	j	j	NOUN
ejpam-5435	250	9	−	−	PROPN
ejpam-5435	250	10	1	1	X
ejpam-5435	250	11	)	)	PUNCT
ejpam-5435	250	12	ρjξ	ρjξ	NOUN
ejpam-5435	250	13	j−1	j−1	NOUN
ejpam-5435	250	14	1	1	NUM
ejpam-5435	250	15	+	+	CCONJ
ejpam-5435	250	16	∞∑	∞∑	PROPN
ejpam-5435	250	17	j=2	j=2	PROPN
ejpam-5435	250	18	(	(	PUNCT
ejpam-5435	250	19	α+βj	α+βj	X
ejpam-5435	250	20	α+β	α+β	NUM
ejpam-5435	250	21	)	)	PUNCT
ejpam-5435	250	22	ρjξj−1	ρjξj−1	NUM
ejpam-5435	250	23	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PUNCT
ejpam-5435	250	24	<	<	X
ejpam-5435	250	25	∞∑	∞∑	PROPN
ejpam-5435	250	26	j=2	j=2	PROPN
ejpam-5435	250	27	(	(	PUNCT
ejpam-5435	250	28	α+βj	α+βj	PROPN
ejpam-5435	250	29	α+β	α+β	PROPN
ejpam-5435	250	30	)	)	PUNCT
ejpam-5435	250	31	(	(	PUNCT
ejpam-5435	250	32	j	j	NOUN
ejpam-5435	250	33	−	−	PROPN
ejpam-5435	250	34	1	1	NUM
ejpam-5435	250	35	)	)	PUNCT
ejpam-5435	250	36	|ρj	|ρj	NOUN
ejpam-5435	250	37	|	|	ADV
ejpam-5435	250	38	1−	1−	NUM
ejpam-5435	251	1	∞∑	∞∑	NUM
ejpam-5435	251	2	j=2	j=2	PROPN
ejpam-5435	251	3	(	(	PUNCT
ejpam-5435	251	4	α+βj	α+βj	X
ejpam-5435	251	5	α+β	α+β	X
ejpam-5435	251	6	)	)	PUNCT
ejpam-5435	251	7	|ρj	|ρj	PROPN
ejpam-5435	251	8	|	|	ADV
ejpam-5435	251	9	.	.	PUNCT
ejpam-5435	252	1	the	the	DET
ejpam-5435	252	2	last	last	ADJ
ejpam-5435	252	3	expression	expression	NOUN
ejpam-5435	252	4	is	be	AUX
ejpam-5435	252	5	bounded	bound	VERB
ejpam-5435	252	6	above	above	ADV
ejpam-5435	252	7	by	by	ADP
ejpam-5435	252	8	(	(	PUNCT
ejpam-5435	252	9	c−d	c−d	NOUN
ejpam-5435	252	10	)	)	PUNCT
ejpam-5435	252	11	cos	cos	ADP
ejpam-5435	252	12	γ	γ	X
ejpam-5435	252	13	(	(	PUNCT
ejpam-5435	252	14	1−d	1−d	NUM
ejpam-5435	252	15	)	)	PUNCT
ejpam-5435	252	16	,	,	PUNCT
ejpam-5435	252	17	if	if	SCONJ
ejpam-5435	252	18	∞∑	∞∑	NUM
ejpam-5435	252	19	j=2	j=2	NOUN
ejpam-5435	252	20	(	(	PUNCT
ejpam-5435	252	21	α+	α+	NOUN
ejpam-5435	252	22	βj	βj	X
ejpam-5435	252	23	α+	α+	X
ejpam-5435	252	24	β	β	NOUN
ejpam-5435	252	25	)	)	PUNCT
ejpam-5435	252	26	(	(	PUNCT
ejpam-5435	252	27	j	j	NOUN
ejpam-5435	252	28	−	−	PROPN
ejpam-5435	252	29	1	1	NUM
ejpam-5435	252	30	)	)	PUNCT
ejpam-5435	252	31	|ρj	|ρj	PRON
ejpam-5435	252	32	|	|	ADV
ejpam-5435	252	33	≤	≤	PUNCT
ejpam-5435	252	34	(	(	PUNCT
ejpam-5435	252	35	c	c	PROPN
ejpam-5435	252	36	−d	−d	PROPN
ejpam-5435	252	37	)	)	PUNCT
ejpam-5435	253	1	cos	cos	ADP
ejpam-5435	253	2	γ	γ	X
ejpam-5435	253	3	(	(	PUNCT
ejpam-5435	253	4	1−d	1−d	NUM
ejpam-5435	253	5	)	)	PUNCT
ejpam-5435	253	6	1−	1−	NOUN
ejpam-5435	253	7	∞∑	∞∑	PROPN
ejpam-5435	253	8	j=2	j=2	PROPN
ejpam-5435	253	9	(	(	PUNCT
ejpam-5435	253	10	α+	α+	NOUN
ejpam-5435	253	11	βj	βj	X
ejpam-5435	253	12	α+	α+	X
ejpam-5435	253	13	β	β	X
ejpam-5435	253	14	)	)	PUNCT
ejpam-5435	253	15	|ρj	|ρj	X
ejpam-5435	254	1	|	|	ADV
ejpam-5435	254	2			NOUN
ejpam-5435	254	3	which	which	PRON
ejpam-5435	254	4	is	be	AUX
ejpam-5435	254	5	equivalent	equivalent	ADJ
ejpam-5435	254	6	to	to	ADP
ejpam-5435	254	7	∞∑	∞∑	PROPN
ejpam-5435	254	8	j=2	j=2	NOUN
ejpam-5435	254	9	(	(	PUNCT
ejpam-5435	254	10	α+	α+	NOUN
ejpam-5435	254	11	βj	βj	X
ejpam-5435	254	12	α+	α+	X
ejpam-5435	254	13	β	β	NOUN
ejpam-5435	254	14	)	)	PUNCT
ejpam-5435	255	1	[	[	X
ejpam-5435	255	2	(	(	PUNCT
ejpam-5435	255	3	1−d	1−d	NUM
ejpam-5435	255	4	)	)	PUNCT
ejpam-5435	255	5	(	(	PUNCT
ejpam-5435	255	6	j	j	NOUN
ejpam-5435	255	7	−	−	PROPN
ejpam-5435	255	8	1	1	NUM
ejpam-5435	255	9	)	)	PUNCT
ejpam-5435	255	10	+	+	CCONJ
ejpam-5435	255	11	(	(	PUNCT
ejpam-5435	255	12	c	c	PROPN
ejpam-5435	255	13	−d	−d	PROPN
ejpam-5435	255	14	)	)	PUNCT
ejpam-5435	255	15	cos	cos	PROPN
ejpam-5435	255	16	γ	γ	X
ejpam-5435	255	17	]	]	X
ejpam-5435	255	18	|ρj	|ρj	X
ejpam-5435	255	19	|	|	ADV
ejpam-5435	255	20	≤	≤	NUM
ejpam-5435	255	21	(	(	PUNCT
ejpam-5435	255	22	c	c	PROPN
ejpam-5435	255	23	−d	−d	PROPN
ejpam-5435	255	24	)	)	PUNCT
ejpam-5435	256	1	cos	cos	PROPN
ejpam-5435	256	2	γ	γ	PROPN
ejpam-5435	256	3	.	.	PROPN
ejpam-5435	257	1	this	this	PRON
ejpam-5435	257	2	completes	complete	VERB
ejpam-5435	257	3	the	the	DET
ejpam-5435	257	4	theorem	theorem	NOUN
ejpam-5435	257	5	4	4	NUM
ejpam-5435	257	6	.	.	PUNCT
ejpam-5435	257	7	putting	put	VERB
ejpam-5435	257	8	γ	γ	NOUN
ejpam-5435	257	9	=	=	SYM
ejpam-5435	257	10	0	0	NUM
ejpam-5435	257	11	in	in	ADP
ejpam-5435	257	12	theorem	theorem	NOUN
ejpam-5435	257	13	4	4	NUM
ejpam-5435	257	14	,	,	PUNCT
ejpam-5435	257	15	we	we	PRON
ejpam-5435	257	16	obtain	obtain	VERB
ejpam-5435	257	17	t.	t.	NOUN
ejpam-5435	257	18	m.	m.	NOUN
ejpam-5435	257	19	seoudy	seoudy	PROPN
ejpam-5435	257	20	/	/	SYM
ejpam-5435	257	21	eur	eur	PROPN
ejpam-5435	257	22	.	.	PUNCT
ejpam-5435	258	1	j.	j.	PROPN
ejpam-5435	258	2	pure	pure	PROPN
ejpam-5435	258	3	appl	appl	PROPN
ejpam-5435	258	4	.	.	PROPN
ejpam-5435	258	5	math	math	PROPN
ejpam-5435	258	6	,	,	PUNCT
ejpam-5435	258	7	17	17	NUM
ejpam-5435	258	8	(	(	PUNCT
ejpam-5435	258	9	4	4	NUM
ejpam-5435	258	10	)	)	PUNCT
ejpam-5435	258	11	(	(	PUNCT
ejpam-5435	258	12	2024	2024	NUM
ejpam-5435	258	13	)	)	PUNCT
ejpam-5435	258	14	,	,	PUNCT
ejpam-5435	258	15	3336	3336	NUM
ejpam-5435	258	16	-	-	SYM
ejpam-5435	258	17	3355	3355	NUM
ejpam-5435	258	18	3345	3345	NUM
ejpam-5435	258	19	corollary	corollary	ADJ
ejpam-5435	258	20	14	14	NUM
ejpam-5435	258	21	.	.	PUNCT
ejpam-5435	259	1	ψ	ψ	X
ejpam-5435	259	2	(	(	PUNCT
ejpam-5435	259	3	ξ	ξ	NOUN
ejpam-5435	259	4	)	)	PUNCT
ejpam-5435	259	5	∈	∈	NOUN
ejpam-5435	259	6	sk	sk	X
ejpam-5435	260	1	[	[	X
ejpam-5435	260	2	α	α	X
ejpam-5435	260	3	,	,	PUNCT
ejpam-5435	260	4	β;c	β;c	PRON
ejpam-5435	260	5	,	,	PUNCT
ejpam-5435	260	6	d	d	X
ejpam-5435	260	7	]	]	X
ejpam-5435	260	8	if	if	SCONJ
ejpam-5435	260	9	∞∑	∞∑	NUM
ejpam-5435	260	10	j=2	j=2	PROPN
ejpam-5435	260	11	(	(	PUNCT
ejpam-5435	260	12	α+	α+	NOUN
ejpam-5435	260	13	βj	βj	X
ejpam-5435	260	14	α+	α+	X
ejpam-5435	260	15	β	β	NOUN
ejpam-5435	260	16	)	)	PUNCT
ejpam-5435	261	1	[	[	X
ejpam-5435	261	2	(	(	PUNCT
ejpam-5435	261	3	1−d	1−d	NUM
ejpam-5435	261	4	)	)	PUNCT
ejpam-5435	261	5	(	(	PUNCT
ejpam-5435	261	6	j	j	NOUN
ejpam-5435	261	7	−	−	PROPN
ejpam-5435	261	8	1	1	NUM
ejpam-5435	261	9	)	)	PUNCT
ejpam-5435	261	10	+	+	CCONJ
ejpam-5435	261	11	c	c	PROPN
ejpam-5435	261	12	−d	−d	PROPN
ejpam-5435	261	13	]	]	X
ejpam-5435	261	14	|ρj	|ρj	X
ejpam-5435	261	15	|	|	ADV
ejpam-5435	261	16	≤	≤	PROPN
ejpam-5435	261	17	c	c	AUX
ejpam-5435	261	18	−d	−d	PROPN
ejpam-5435	261	19	.	.	PUNCT
ejpam-5435	262	1	(	(	PUNCT
ejpam-5435	262	2	22	22	X
ejpam-5435	262	3	)	)	PUNCT
ejpam-5435	262	4	putting	put	VERB
ejpam-5435	262	5	β	β	X
ejpam-5435	262	6	=	=	SYM
ejpam-5435	262	7	0	0	PUNCT
ejpam-5435	262	8	in	in	ADP
ejpam-5435	262	9	theorem	theorem	NOUN
ejpam-5435	262	10	4	4	NUM
ejpam-5435	262	11	,	,	PUNCT
ejpam-5435	262	12	we	we	PRON
ejpam-5435	262	13	obtain	obtain	VERB
ejpam-5435	262	14	corollary	corollary	ADJ
ejpam-5435	262	15	15	15	NUM
ejpam-5435	262	16	.	.	PUNCT
ejpam-5435	263	1	ψ	ψ	X
ejpam-5435	263	2	(	(	PUNCT
ejpam-5435	263	3	ξ	ξ	NOUN
ejpam-5435	263	4	)	)	PUNCT
ejpam-5435	263	5	∈	∈	NOUN
ejpam-5435	263	6	sγ	sγ	VERB
ejpam-5435	264	1	[	[	X
ejpam-5435	264	2	c	c	X
ejpam-5435	264	3	,	,	PUNCT
ejpam-5435	264	4	d	d	X
ejpam-5435	264	5	]	]	X
ejpam-5435	264	6	if	if	SCONJ
ejpam-5435	264	7	∞∑	∞∑	NUM
ejpam-5435	264	8	j=2	j=2	PROPN
ejpam-5435	265	1	[	[	X
ejpam-5435	265	2	(	(	PUNCT
ejpam-5435	265	3	1−d	1−d	NUM
ejpam-5435	265	4	)	)	PUNCT
ejpam-5435	265	5	(	(	PUNCT
ejpam-5435	265	6	j	j	NOUN
ejpam-5435	265	7	−	−	PROPN
ejpam-5435	265	8	1	1	NUM
ejpam-5435	265	9	)	)	PUNCT
ejpam-5435	265	10	+	+	CCONJ
ejpam-5435	265	11	(	(	PUNCT
ejpam-5435	265	12	c	c	PROPN
ejpam-5435	265	13	−d	−d	PROPN
ejpam-5435	265	14	)	)	PUNCT
ejpam-5435	265	15	cos	cos	PROPN
ejpam-5435	265	16	γ	γ	X
ejpam-5435	265	17	]	]	X
ejpam-5435	265	18	|ρj	|ρj	X
ejpam-5435	265	19	|	|	ADV
ejpam-5435	265	20	≤	≤	NUM
ejpam-5435	265	21	(	(	PUNCT
ejpam-5435	265	22	c	c	PROPN
ejpam-5435	265	23	−d	−d	PROPN
ejpam-5435	265	24	)	)	PUNCT
ejpam-5435	266	1	cos	cos	PROPN
ejpam-5435	266	2	γ	γ	PROPN
ejpam-5435	266	3	.	.	PROPN
ejpam-5435	267	1	(	(	PUNCT
ejpam-5435	267	2	23	23	NUM
ejpam-5435	267	3	)	)	PUNCT
ejpam-5435	267	4	putting	put	VERB
ejpam-5435	267	5	α	α	NOUN
ejpam-5435	267	6	=	=	SYM
ejpam-5435	267	7	0	0	NUM
ejpam-5435	267	8	in	in	ADP
ejpam-5435	267	9	theorem	theorem	NOUN
ejpam-5435	267	10	4	4	NUM
ejpam-5435	267	11	,	,	PUNCT
ejpam-5435	267	12	we	we	PRON
ejpam-5435	267	13	obtain	obtain	VERB
ejpam-5435	267	14	corollary	corollary	ADJ
ejpam-5435	267	15	16	16	NUM
ejpam-5435	267	16	.	.	PUNCT
ejpam-5435	268	1	ψ	ψ	X
ejpam-5435	268	2	(	(	PUNCT
ejpam-5435	268	3	ξ	ξ	NOUN
ejpam-5435	268	4	)	)	PUNCT
ejpam-5435	268	5	∈	∈	PROPN
ejpam-5435	268	6	kγ	kγ	X
ejpam-5435	269	1	[	[	X
ejpam-5435	269	2	c	c	X
ejpam-5435	269	3	,	,	PUNCT
ejpam-5435	269	4	d	d	X
ejpam-5435	269	5	]	]	X
ejpam-5435	269	6	if	if	SCONJ
ejpam-5435	269	7	∞∑	∞∑	NUM
ejpam-5435	269	8	j=2	j=2	PROPN
ejpam-5435	269	9	j	j	PROPN
ejpam-5435	270	1	[	[	X
ejpam-5435	270	2	(	(	PUNCT
ejpam-5435	270	3	1−d	1−d	NUM
ejpam-5435	270	4	)	)	PUNCT
ejpam-5435	270	5	(	(	PUNCT
ejpam-5435	270	6	j	j	NOUN
ejpam-5435	270	7	−	−	PROPN
ejpam-5435	270	8	1	1	NUM
ejpam-5435	270	9	)	)	PUNCT
ejpam-5435	270	10	+	+	CCONJ
ejpam-5435	270	11	(	(	PUNCT
ejpam-5435	270	12	c	c	PROPN
ejpam-5435	270	13	−d	−d	PROPN
ejpam-5435	270	14	)	)	PUNCT
ejpam-5435	270	15	cos	cos	PROPN
ejpam-5435	270	16	γ	γ	X
ejpam-5435	270	17	]	]	X
ejpam-5435	270	18	|ρj	|ρj	X
ejpam-5435	270	19	|	|	ADV
ejpam-5435	270	20	≤	≤	NUM
ejpam-5435	270	21	(	(	PUNCT
ejpam-5435	270	22	c	c	PROPN
ejpam-5435	270	23	−d	−d	PROPN
ejpam-5435	270	24	)	)	PUNCT
ejpam-5435	271	1	cos	cos	PROPN
ejpam-5435	271	2	γ	γ	PROPN
ejpam-5435	271	3	.	.	PROPN
ejpam-5435	271	4	(	(	PUNCT
ejpam-5435	271	5	24	24	NUM
ejpam-5435	271	6	)	)	PUNCT
ejpam-5435	271	7	taking	take	VERB
ejpam-5435	271	8	c	c	NOUN
ejpam-5435	271	9	=	=	SYM
ejpam-5435	271	10	1−	1−	NUM
ejpam-5435	271	11	2λ	2λ	NUM
ejpam-5435	271	12	(	(	PUNCT
ejpam-5435	271	13	0	0	NUM
ejpam-5435	271	14	≤	≤	NUM
ejpam-5435	272	1	λ	λ	X
ejpam-5435	272	2	<	<	X
ejpam-5435	272	3	1	1	NUM
ejpam-5435	272	4	)	)	PUNCT
ejpam-5435	272	5	and	and	CCONJ
ejpam-5435	272	6	d	d	NOUN
ejpam-5435	272	7	=	=	SYM
ejpam-5435	272	8	−1	−1	NOUN
ejpam-5435	272	9	in	in	ADP
ejpam-5435	272	10	theorem	theorem	NOUN
ejpam-5435	272	11	4	4	NUM
ejpam-5435	272	12	,	,	PUNCT
ejpam-5435	272	13	we	we	PRON
ejpam-5435	272	14	obtain	obtain	VERB
ejpam-5435	272	15	corollary	corollary	ADJ
ejpam-5435	272	16	17	17	NUM
ejpam-5435	272	17	.	.	PUNCT
ejpam-5435	273	1	ψ	ψ	X
ejpam-5435	273	2	(	(	PUNCT
ejpam-5435	273	3	ξ	ξ	NOUN
ejpam-5435	273	4	)	)	PUNCT
ejpam-5435	273	5	∈	∈	PROPN
ejpam-5435	273	6	skγ	skγ	NOUN
ejpam-5435	273	7	(	(	PUNCT
ejpam-5435	273	8	α	α	NOUN
ejpam-5435	273	9	,	,	PUNCT
ejpam-5435	273	10	β;λ	β;λ	PUNCT
ejpam-5435	273	11	)	)	PUNCT
ejpam-5435	273	12	if	if	SCONJ
ejpam-5435	273	13	∞∑	∞∑	NUM
ejpam-5435	273	14	j=2	j=2	PROPN
ejpam-5435	273	15	(	(	PUNCT
ejpam-5435	273	16	α+	α+	NOUN
ejpam-5435	273	17	βj	βj	X
ejpam-5435	273	18	α+	α+	X
ejpam-5435	273	19	β	β	X
ejpam-5435	273	20	)	)	PUNCT
ejpam-5435	274	1	[	[	X
ejpam-5435	274	2	j	j	X
ejpam-5435	274	3	−	−	NOUN
ejpam-5435	274	4	1	1	NUM
ejpam-5435	274	5	+	+	CCONJ
ejpam-5435	274	6	(	(	PUNCT
ejpam-5435	274	7	1−	1−	NUM
ejpam-5435	274	8	λ	λ	NOUN
ejpam-5435	274	9	)	)	PUNCT
ejpam-5435	274	10	cos	cos	ADP
ejpam-5435	274	11	γ	γ	X
ejpam-5435	274	12	]	]	X
ejpam-5435	274	13	|ρj	|ρj	X
ejpam-5435	274	14	|	|	ADV
ejpam-5435	274	15	≤	≤	X
ejpam-5435	274	16	(	(	PUNCT
ejpam-5435	274	17	1−	1−	NUM
ejpam-5435	274	18	λ	λ	NOUN
ejpam-5435	274	19	)	)	PUNCT
ejpam-5435	274	20	cos	cos	ADP
ejpam-5435	274	21	γ	γ	PROPN
ejpam-5435	274	22	.	.	PROPN
ejpam-5435	274	23	(	(	PUNCT
ejpam-5435	274	24	25	25	NUM
ejpam-5435	274	25	)	)	PUNCT
ejpam-5435	274	26	4	4	NUM
ejpam-5435	274	27	.	.	X
ejpam-5435	274	28	subordination	subordination	NOUN
ejpam-5435	274	29	result	result	VERB
ejpam-5435	274	30	before	before	ADP
ejpam-5435	274	31	proving	prove	VERB
ejpam-5435	274	32	our	our	PRON
ejpam-5435	274	33	subordination	subordination	NOUN
ejpam-5435	274	34	result	result	VERB
ejpam-5435	274	35	for	for	ADP
ejpam-5435	274	36	skγ	skγ	PROPN
ejpam-5435	275	1	[	[	X
ejpam-5435	275	2	α	α	X
ejpam-5435	275	3	,	,	PUNCT
ejpam-5435	275	4	β;c	β;c	PRON
ejpam-5435	275	5	,	,	PUNCT
ejpam-5435	275	6	d	d	X
ejpam-5435	275	7	]	]	X
ejpam-5435	275	8	,	,	PUNCT
ejpam-5435	275	9	we	we	PRON
ejpam-5435	275	10	shall	shall	AUX
ejpam-5435	275	11	make	make	VERB
ejpam-5435	275	12	use	use	VERB
ejpam-5435	275	13	the	the	DET
ejpam-5435	275	14	following	follow	VERB
ejpam-5435	275	15	definitions	definition	NOUN
ejpam-5435	275	16	and	and	CCONJ
ejpam-5435	275	17	a	a	DET
ejpam-5435	275	18	lemma	lemma	PROPN
ejpam-5435	275	19	.	.	PUNCT
ejpam-5435	276	1	definition	definition	NOUN
ejpam-5435	276	2	2	2	NUM
ejpam-5435	276	3	.	.	PUNCT
ejpam-5435	277	1	[	[	X
ejpam-5435	277	2	24	24	NUM
ejpam-5435	277	3	]	]	PUNCT
ejpam-5435	277	4	we	we	PRON
ejpam-5435	277	5	say	say	VERB
ejpam-5435	277	6	that	that	SCONJ
ejpam-5435	277	7	a	a	DET
ejpam-5435	277	8	complex	complex	ADJ
ejpam-5435	277	9	sequence	sequence	NOUN
ejpam-5435	277	10	{	{	PUNCT
ejpam-5435	277	11	σj}∞j=1	σj}∞j=1	X
ejpam-5435	277	12	is	be	AUX
ejpam-5435	277	13	a	a	DET
ejpam-5435	277	14	subordinating	subordinate	VERB
ejpam-5435	277	15	factor	factor	NOUN
ejpam-5435	277	16	sequence	sequence	NOUN
ejpam-5435	277	17	(	(	PUNCT
ejpam-5435	277	18	sfs	sfs	PROPN
ejpam-5435	277	19	)	)	PUNCT
ejpam-5435	277	20	if	if	SCONJ
ejpam-5435	277	21	,	,	PUNCT
ejpam-5435	277	22	whenever	whenever	SCONJ
ejpam-5435	277	23	ψ	ψ	X
ejpam-5435	277	24	(	(	PUNCT
ejpam-5435	277	25	ξ	ξ	NOUN
ejpam-5435	277	26	)	)	PUNCT
ejpam-5435	277	27	=	=	SYM
ejpam-5435	278	1	ξ	ξ	PROPN
ejpam-5435	279	1	+	+	PUNCT
ejpam-5435	279	2	∞∑	∞∑	PROPN
ejpam-5435	279	3	j=2	j=2	NOUN
ejpam-5435	280	1	ρjξ	ρjξ	PRON
ejpam-5435	280	2	j	j	PROPN
ejpam-5435	280	3	is	be	AUX
ejpam-5435	280	4	univalent	univalent	ADJ
ejpam-5435	280	5	(	(	PUNCT
ejpam-5435	280	6	analytic	analytic	ADJ
ejpam-5435	280	7	)	)	PUNCT
ejpam-5435	280	8	and	and	CCONJ
ejpam-5435	280	9	convex	convex	VERB
ejpam-5435	280	10	in	in	ADP
ejpam-5435	280	11	u	u	NOUN
ejpam-5435	280	12	,	,	PUNCT
ejpam-5435	280	13	we	we	PRON
ejpam-5435	280	14	have	have	VERB
ejpam-5435	280	15	∞∑	∞∑	NUM
ejpam-5435	280	16	j=1	j=1	NOUN
ejpam-5435	280	17	ρj	ρj	ADP
ejpam-5435	280	18	σj	σj	VERB
ejpam-5435	280	19	≺	≺	NOUN
ejpam-5435	280	20	ψ	ψ	X
ejpam-5435	280	21	(	(	PUNCT
ejpam-5435	280	22	ξ	ξ	NOUN
ejpam-5435	280	23	)	)	PUNCT
ejpam-5435	280	24	(	(	PUNCT
ejpam-5435	280	25	ρ1	ρ1	NOUN
ejpam-5435	280	26	=	=	SYM
ejpam-5435	280	27	1	1	NUM
ejpam-5435	280	28	;	;	PUNCT
ejpam-5435	280	29	ξ	ξ	PROPN
ejpam-5435	280	30	∈	∈	PROPN
ejpam-5435	280	31	u	u	NOUN
ejpam-5435	280	32	)	)	PUNCT
ejpam-5435	280	33	.	.	PUNCT
ejpam-5435	281	1	(	(	PUNCT
ejpam-5435	281	2	26	26	NUM
ejpam-5435	281	3	)	)	PUNCT
ejpam-5435	281	4	lemma	lemma	PROPN
ejpam-5435	281	5	1	1	NUM
ejpam-5435	281	6	.	.	PUNCT
ejpam-5435	282	1	[	[	X
ejpam-5435	282	2	24	24	NUM
ejpam-5435	282	3	]	]	PUNCT
ejpam-5435	282	4	the	the	DET
ejpam-5435	282	5	complex	complex	ADJ
ejpam-5435	282	6	sequence	sequence	NOUN
ejpam-5435	282	7	{	{	PUNCT
ejpam-5435	282	8	σj}∞j=1	σj}∞j=1	X
ejpam-5435	282	9	is	be	AUX
ejpam-5435	282	10	a	a	DET
ejpam-5435	282	11	subordinating	subordinate	VERB
ejpam-5435	282	12	factor	factor	NOUN
ejpam-5435	282	13	sequence	sequence	NOUN
ejpam-5435	282	14	(	(	PUNCT
ejpam-5435	282	15	sfs	sfs	ADJ
ejpam-5435	282	16	)	)	PUNCT
ejpam-5435	283	1	if	if	SCONJ
ejpam-5435	283	2	and	and	CCONJ
ejpam-5435	283	3	only	only	ADV
ejpam-5435	283	4	if	if	SCONJ
ejpam-5435	283	5	ℜ	ℜ	ADJ
ejpam-5435	283	6	1	1	PUNCT
ejpam-5435	283	7	+	+	NUM
ejpam-5435	283	8	2	2	NUM
ejpam-5435	283	9	∞∑	∞∑	NUM
ejpam-5435	283	10	j=1	j=1	NOUN
ejpam-5435	283	11	σj	σj	VERB
ejpam-5435	283	12	ξ	ξ	X
ejpam-5435	283	13	j	j	X
ejpam-5435	283	14			PROPN
ejpam-5435	283	15	>	>	X
ejpam-5435	283	16	0	0	PUNCT
ejpam-5435	284	1	(	(	PUNCT
ejpam-5435	284	2	ξ	ξ	PROPN
ejpam-5435	284	3	∈	∈	PROPN
ejpam-5435	284	4	u	u	NOUN
ejpam-5435	284	5	)	)	PUNCT
ejpam-5435	284	6	.	.	PUNCT
ejpam-5435	285	1	(	(	PUNCT
ejpam-5435	285	2	27	27	NUM
ejpam-5435	285	3	)	)	PUNCT
ejpam-5435	285	4	t.	t.	NOUN
ejpam-5435	285	5	m.	m.	NOUN
ejpam-5435	285	6	seoudy	seoudy	PROPN
ejpam-5435	285	7	/	/	SYM
ejpam-5435	285	8	eur	eur	PROPN
ejpam-5435	285	9	.	.	PUNCT
ejpam-5435	286	1	j.	j.	PROPN
ejpam-5435	286	2	pure	pure	PROPN
ejpam-5435	286	3	appl	appl	PROPN
ejpam-5435	286	4	.	.	PROPN
ejpam-5435	286	5	math	math	PROPN
ejpam-5435	286	6	,	,	PUNCT
ejpam-5435	286	7	17	17	NUM
ejpam-5435	286	8	(	(	PUNCT
ejpam-5435	286	9	4	4	NUM
ejpam-5435	286	10	)	)	PUNCT
ejpam-5435	286	11	(	(	PUNCT
ejpam-5435	286	12	2024	2024	NUM
ejpam-5435	286	13	)	)	PUNCT
ejpam-5435	286	14	,	,	PUNCT
ejpam-5435	286	15	3336	3336	NUM
ejpam-5435	286	16	-	-	SYM
ejpam-5435	286	17	3355	3355	NUM
ejpam-5435	286	18	3346	3346	NUM
ejpam-5435	286	19	theorem	theorem	NOUN
ejpam-5435	286	20	5	5	NUM
ejpam-5435	286	21	.	.	PUNCT
ejpam-5435	287	1	let	let	VERB
ejpam-5435	287	2	ψ	ψ	X
ejpam-5435	287	3	(	(	PUNCT
ejpam-5435	287	4	ξ	ξ	NOUN
ejpam-5435	287	5	)	)	PUNCT
ejpam-5435	287	6	∈	∈	PROPN
ejpam-5435	288	1	skγ	skγ	PUNCT
ejpam-5435	289	1	[	[	X
ejpam-5435	289	2	α	α	X
ejpam-5435	289	3	,	,	PUNCT
ejpam-5435	289	4	β;c	β;c	PRON
ejpam-5435	289	5	,	,	PUNCT
ejpam-5435	289	6	d	d	X
ejpam-5435	289	7	]	]	X
ejpam-5435	289	8	satisfy	satisfy	VERB
ejpam-5435	289	9	the	the	DET
ejpam-5435	289	10	coefficient	coefficient	NOUN
ejpam-5435	289	11	inequality	inequality	NOUN
ejpam-5435	289	12	(	(	PUNCT
ejpam-5435	289	13	21	21	NUM
ejpam-5435	289	14	)	)	PUNCT
ejpam-5435	289	15	and	and	CCONJ
ejpam-5435	289	16	let	let	VERB
ejpam-5435	290	1	ϕ	ϕ	X
ejpam-5435	290	2	(	(	PUNCT
ejpam-5435	290	3	ξ	ξ	NOUN
ejpam-5435	290	4	)	)	PUNCT
ejpam-5435	290	5	∈	∈	PROPN
ejpam-5435	290	6	k	k	NOUN
ejpam-5435	290	7	,	,	PUNCT
ejpam-5435	290	8	then	then	ADV
ejpam-5435	290	9	(	(	PUNCT
ejpam-5435	290	10	α+2β	α+2β	PROPN
ejpam-5435	290	11	α+β	α+β	NUM
ejpam-5435	290	12	)	)	PUNCT
ejpam-5435	291	1	[	[	X
ejpam-5435	291	2	1−d	1−d	X
ejpam-5435	291	3	+	+	CCONJ
ejpam-5435	291	4	(	(	PUNCT
ejpam-5435	291	5	c	c	PROPN
ejpam-5435	291	6	−d	−d	PROPN
ejpam-5435	291	7	)	)	PUNCT
ejpam-5435	292	1	cos	cos	PROPN
ejpam-5435	292	2	γ	γ	X
ejpam-5435	292	3	]	]	X
ejpam-5435	292	4	2	2	NUM
ejpam-5435	292	5	[	[	PUNCT
ejpam-5435	292	6	(	(	PUNCT
ejpam-5435	292	7	c	c	PROPN
ejpam-5435	292	8	−d	−d	PROPN
ejpam-5435	292	9	)	)	PUNCT
ejpam-5435	293	1	cos	cos	ADP
ejpam-5435	293	2	γ	γ	PROPN
ejpam-5435	293	3	+	+	X
ejpam-5435	293	4	(	(	PUNCT
ejpam-5435	293	5	α+2β	α+2β	PROPN
ejpam-5435	293	6	α+β	α+β	NUM
ejpam-5435	293	7	)	)	PUNCT
ejpam-5435	294	1	[	[	X
ejpam-5435	294	2	1−d	1−d	X
ejpam-5435	294	3	+	+	CCONJ
ejpam-5435	294	4	(	(	PUNCT
ejpam-5435	294	5	c	c	PROPN
ejpam-5435	294	6	−d	−d	PROPN
ejpam-5435	294	7	)	)	PUNCT
ejpam-5435	295	1	cos	cos	PROPN
ejpam-5435	295	2	γ	γ	X
ejpam-5435	295	3	]	]	X
ejpam-5435	295	4	]	]	PUNCT
ejpam-5435	295	5	(	(	PUNCT
ejpam-5435	295	6	ψ	ψ	X
ejpam-5435	295	7	∗	∗	PRON
ejpam-5435	295	8	ϕ	ϕ	NOUN
ejpam-5435	295	9	)	)	PUNCT
ejpam-5435	295	10	(	(	PUNCT
ejpam-5435	295	11	ξ	ξ	X
ejpam-5435	295	12	)	)	PUNCT
ejpam-5435	295	13	≺	≺	NOUN
ejpam-5435	295	14	ϕ	ϕ	X
ejpam-5435	295	15	(	(	PUNCT
ejpam-5435	295	16	ξ	ξ	NOUN
ejpam-5435	295	17	)	)	PUNCT
ejpam-5435	295	18	(	(	PUNCT
ejpam-5435	295	19	28	28	NUM
ejpam-5435	295	20	)	)	PUNCT
ejpam-5435	295	21	and	and	CCONJ
ejpam-5435	295	22	ℜ{ψ	ℜ{ψ	NUM
ejpam-5435	295	23	(	(	PUNCT
ejpam-5435	295	24	ξ	ξ	NOUN
ejpam-5435	295	25	)	)	PUNCT
ejpam-5435	295	26	}	}	PUNCT
ejpam-5435	295	27	>	>	X
ejpam-5435	295	28	−	−	PROPN
ejpam-5435	295	29	(	(	PUNCT
ejpam-5435	295	30	c	c	PROPN
ejpam-5435	295	31	−d	−d	PROPN
ejpam-5435	295	32	)	)	PUNCT
ejpam-5435	295	33	cos	cos	ADP
ejpam-5435	295	34	γ	γ	PROPN
ejpam-5435	295	35	+	+	X
ejpam-5435	295	36	(	(	PUNCT
ejpam-5435	295	37	α+2β	α+2β	PROPN
ejpam-5435	295	38	α+β	α+β	NUM
ejpam-5435	295	39	)	)	PUNCT
ejpam-5435	296	1	[	[	X
ejpam-5435	296	2	1−d	1−d	X
ejpam-5435	296	3	+	+	CCONJ
ejpam-5435	296	4	(	(	PUNCT
ejpam-5435	296	5	c	c	PROPN
ejpam-5435	296	6	−d	−d	PROPN
ejpam-5435	296	7	)	)	PUNCT
ejpam-5435	297	1	cos	cos	ADP
ejpam-5435	297	2	γ	γ	X
ejpam-5435	297	3	]	]	X
ejpam-5435	297	4	(	(	PUNCT
ejpam-5435	297	5	α+2β	α+2β	PROPN
ejpam-5435	297	6	α+β	α+β	NUM
ejpam-5435	297	7	)	)	PUNCT
ejpam-5435	298	1	[	[	X
ejpam-5435	298	2	1−d	1−d	X
ejpam-5435	298	3	+	+	CCONJ
ejpam-5435	298	4	(	(	PUNCT
ejpam-5435	298	5	c	c	PROPN
ejpam-5435	298	6	−d	−d	PROPN
ejpam-5435	298	7	)	)	PUNCT
ejpam-5435	299	1	cos	cos	PROPN
ejpam-5435	299	2	γ	γ	X
ejpam-5435	299	3	]	]	PUNCT
ejpam-5435	299	4	.	.	PUNCT
ejpam-5435	300	1	(	(	PUNCT
ejpam-5435	300	2	29	29	NUM
ejpam-5435	300	3	)	)	PUNCT
ejpam-5435	300	4	the	the	DET
ejpam-5435	300	5	constant	constant	ADJ
ejpam-5435	300	6	factor	factor	NOUN
ejpam-5435	300	7	(	(	PUNCT
ejpam-5435	300	8	α+2β	α+2β	PROPN
ejpam-5435	300	9	α+β	α+β	NUM
ejpam-5435	300	10	)	)	PUNCT
ejpam-5435	301	1	[	[	X
ejpam-5435	301	2	1−d	1−d	X
ejpam-5435	301	3	+	+	CCONJ
ejpam-5435	301	4	(	(	PUNCT
ejpam-5435	301	5	c	c	PROPN
ejpam-5435	301	6	−d	−d	PROPN
ejpam-5435	301	7	)	)	PUNCT
ejpam-5435	302	1	cos	cos	PROPN
ejpam-5435	302	2	γ	γ	X
ejpam-5435	302	3	]	]	X
ejpam-5435	302	4	2	2	NUM
ejpam-5435	302	5	[	[	PUNCT
ejpam-5435	302	6	(	(	PUNCT
ejpam-5435	302	7	c	c	PROPN
ejpam-5435	302	8	−d	−d	PROPN
ejpam-5435	302	9	)	)	PUNCT
ejpam-5435	303	1	cos	cos	ADP
ejpam-5435	303	2	γ	γ	PROPN
ejpam-5435	303	3	+	+	X
ejpam-5435	303	4	(	(	PUNCT
ejpam-5435	303	5	α+2β	α+2β	PROPN
ejpam-5435	303	6	α+β	α+β	NUM
ejpam-5435	303	7	)	)	PUNCT
ejpam-5435	304	1	[	[	X
ejpam-5435	304	2	1−d	1−d	X
ejpam-5435	304	3	+	+	CCONJ
ejpam-5435	304	4	(	(	PUNCT
ejpam-5435	304	5	c	c	PROPN
ejpam-5435	304	6	−d	−d	PROPN
ejpam-5435	304	7	)	)	PUNCT
ejpam-5435	305	1	cos	cos	PROPN
ejpam-5435	305	2	γ	γ	X
ejpam-5435	305	3	]	]	X
ejpam-5435	305	4	]	]	PUNCT
ejpam-5435	305	5	in	in	ADP
ejpam-5435	305	6	(	(	PUNCT
ejpam-5435	305	7	28	28	NUM
ejpam-5435	305	8	)	)	PUNCT
ejpam-5435	305	9	can	can	AUX
ejpam-5435	305	10	not	not	PART
ejpam-5435	305	11	be	be	AUX
ejpam-5435	305	12	replaced	replace	VERB
ejpam-5435	305	13	by	by	ADP
ejpam-5435	305	14	a	a	DET
ejpam-5435	305	15	larger	large	ADJ
ejpam-5435	305	16	number	number	NOUN
ejpam-5435	305	17	.	.	PUNCT
ejpam-5435	306	1	proof	proof	NOUN
ejpam-5435	306	2	.	.	PUNCT
ejpam-5435	307	1	let	let	VERB
ejpam-5435	307	2	ψ	ψ	X
ejpam-5435	307	3	(	(	PUNCT
ejpam-5435	307	4	ξ	ξ	NOUN
ejpam-5435	307	5	)	)	PUNCT
ejpam-5435	307	6	∈	∈	PROPN
ejpam-5435	308	1	skγ	skγ	PUNCT
ejpam-5435	309	1	[	[	X
ejpam-5435	309	2	α	α	X
ejpam-5435	309	3	,	,	PUNCT
ejpam-5435	309	4	β;c	β;c	PRON
ejpam-5435	309	5	,	,	PUNCT
ejpam-5435	309	6	d	d	X
ejpam-5435	309	7	]	]	X
ejpam-5435	309	8	satisfy	satisfy	VERB
ejpam-5435	309	9	the	the	DET
ejpam-5435	309	10	coefficient	coefficient	NOUN
ejpam-5435	309	11	inequality	inequality	NOUN
ejpam-5435	309	12	(	(	PUNCT
ejpam-5435	309	13	21	21	NUM
ejpam-5435	309	14	)	)	PUNCT
ejpam-5435	309	15	and	and	CCONJ
ejpam-5435	309	16	suppose	suppose	VERB
ejpam-5435	310	1	that	that	SCONJ
ejpam-5435	310	2	ϕ	ϕ	PROPN
ejpam-5435	310	3	(	(	PUNCT
ejpam-5435	310	4	ξ	ξ	NOUN
ejpam-5435	310	5	)	)	PUNCT
ejpam-5435	310	6	=	=	SYM
ejpam-5435	310	7	ξ	ξ	PROPN
ejpam-5435	310	8	+	+	PUNCT
ejpam-5435	310	9	∞∑	∞∑	PROPN
ejpam-5435	310	10	j=2	j=2	PROPN
ejpam-5435	310	11	σjξ	σjξ	PROPN
ejpam-5435	310	12	j	j	PROPN
ejpam-5435	310	13	∈	∈	PROPN
ejpam-5435	311	1	k.	k.	PROPN
ejpam-5435	312	1	then	then	ADV
ejpam-5435	312	2	,	,	PUNCT
ejpam-5435	312	3	by	by	ADP
ejpam-5435	312	4	definition	definition	NOUN
ejpam-5435	312	5	2	2	NUM
ejpam-5435	312	6	,	,	PUNCT
ejpam-5435	312	7	the	the	DET
ejpam-5435	312	8	condition	condition	NOUN
ejpam-5435	312	9	(	(	PUNCT
ejpam-5435	312	10	28	28	NUM
ejpam-5435	312	11	)	)	PUNCT
ejpam-5435	312	12	will	will	AUX
ejpam-5435	312	13	hold	hold	VERB
ejpam-5435	312	14	true	true	ADJ
ejpam-5435	312	15	if	if	NOUN
ejpam-5435	312	16	(	(	PUNCT
ejpam-5435	312	17	α+2β	α+2β	PROPN
ejpam-5435	312	18	α+β	α+β	NUM
ejpam-5435	312	19	)	)	PUNCT
ejpam-5435	313	1	[	[	X
ejpam-5435	313	2	1−d	1−d	X
ejpam-5435	313	3	+	+	CCONJ
ejpam-5435	313	4	(	(	PUNCT
ejpam-5435	313	5	c	c	PROPN
ejpam-5435	313	6	−d	−d	PROPN
ejpam-5435	313	7	)	)	PUNCT
ejpam-5435	314	1	cos	cos	PROPN
ejpam-5435	314	2	γ	γ	X
ejpam-5435	314	3	]	]	X
ejpam-5435	314	4	2	2	NUM
ejpam-5435	314	5	[	[	PUNCT
ejpam-5435	314	6	(	(	PUNCT
ejpam-5435	314	7	c	c	PROPN
ejpam-5435	314	8	−d	−d	PROPN
ejpam-5435	314	9	)	)	PUNCT
ejpam-5435	315	1	cos	cos	ADP
ejpam-5435	315	2	γ	γ	PROPN
ejpam-5435	315	3	+	+	X
ejpam-5435	315	4	(	(	PUNCT
ejpam-5435	315	5	α+2β	α+2β	PROPN
ejpam-5435	315	6	α+β	α+β	NUM
ejpam-5435	315	7	)	)	PUNCT
ejpam-5435	316	1	[	[	X
ejpam-5435	316	2	1−d	1−d	X
ejpam-5435	316	3	+	+	CCONJ
ejpam-5435	316	4	(	(	PUNCT
ejpam-5435	316	5	c	c	PROPN
ejpam-5435	316	6	−d	−d	PROPN
ejpam-5435	316	7	)	)	PUNCT
ejpam-5435	317	1	cos	cos	PROPN
ejpam-5435	317	2	γ	γ	X
ejpam-5435	317	3	]	]	X
ejpam-5435	317	4	]	]	X
ejpam-5435	317	5	ρj	ρj	X
ejpam-5435	317	6			PROPN
ejpam-5435	317	7	∞	∞	PROPN
ejpam-5435	317	8	j=1	j=1	PROPN
ejpam-5435	317	9	is	be	AUX
ejpam-5435	317	10	a	a	DET
ejpam-5435	317	11	subordinating	subordinate	VERB
ejpam-5435	317	12	factor	factor	NOUN
ejpam-5435	317	13	sequence	sequence	NOUN
ejpam-5435	317	14	,	,	PUNCT
ejpam-5435	317	15	with	with	ADP
ejpam-5435	317	16	σ1	σ1	NOUN
ejpam-5435	317	17	=	=	SYM
ejpam-5435	317	18	1	1	X
ejpam-5435	317	19	.	.	PUNCT
ejpam-5435	317	20	from	from	ADP
ejpam-5435	317	21	lemma	lemma	PROPN
ejpam-5435	317	22	1	1	NUM
ejpam-5435	317	23	,	,	PUNCT
ejpam-5435	317	24	it	it	PRON
ejpam-5435	317	25	is	be	AUX
ejpam-5435	317	26	equivalent	equivalent	ADJ
ejpam-5435	317	27	to	to	ADP
ejpam-5435	317	28	the	the	DET
ejpam-5435	317	29	inequality	inequality	NOUN
ejpam-5435	317	30	ℜ	ℜ	PROPN
ejpam-5435	317	31	1	1	PUNCT
ejpam-5435	318	1	+	+	CCONJ
ejpam-5435	318	2	∞∑	∞∑	NUM
ejpam-5435	318	3	j=1	j=1	NOUN
ejpam-5435	318	4	(	(	PUNCT
ejpam-5435	318	5	α+2β	α+2β	PROPN
ejpam-5435	318	6	α+β	α+β	NUM
ejpam-5435	318	7	)	)	PUNCT
ejpam-5435	319	1	[	[	X
ejpam-5435	319	2	1−d	1−d	X
ejpam-5435	319	3	+	+	CCONJ
ejpam-5435	319	4	(	(	PUNCT
ejpam-5435	319	5	c	c	PROPN
ejpam-5435	319	6	−d	−d	PROPN
ejpam-5435	319	7	)	)	PUNCT
ejpam-5435	320	1	cos	cos	PROPN
ejpam-5435	320	2	γ	γ	X
ejpam-5435	320	3	]	]	X
ejpam-5435	320	4	(	(	PUNCT
ejpam-5435	320	5	c	c	PROPN
ejpam-5435	320	6	−d	−d	PROPN
ejpam-5435	320	7	)	)	PUNCT
ejpam-5435	321	1	cos	cos	ADP
ejpam-5435	321	2	γ	γ	PROPN
ejpam-5435	321	3	+	+	X
ejpam-5435	321	4	(	(	PUNCT
ejpam-5435	321	5	α+2β	α+2β	PROPN
ejpam-5435	321	6	α+β	α+β	NUM
ejpam-5435	321	7	)	)	PUNCT
ejpam-5435	322	1	[	[	X
ejpam-5435	322	2	1−d	1−d	X
ejpam-5435	322	3	+	+	CCONJ
ejpam-5435	322	4	(	(	PUNCT
ejpam-5435	322	5	c	c	PROPN
ejpam-5435	322	6	−d	−d	PROPN
ejpam-5435	322	7	)	)	PUNCT
ejpam-5435	323	1	cos	cos	PROPN
ejpam-5435	323	2	γ	γ	X
ejpam-5435	323	3	]	]	X
ejpam-5435	323	4	ρj	ρj	NOUN
ejpam-5435	323	5	ξ	ξ	X
ejpam-5435	323	6	j	j	X
ejpam-5435	324	1			PROPN
ejpam-5435	324	2	>	>	X
ejpam-5435	324	3	0	0	PUNCT
ejpam-5435	325	1	(	(	PUNCT
ejpam-5435	325	2	ξ	ξ	PROPN
ejpam-5435	325	3	∈	∈	PROPN
ejpam-5435	325	4	u	u	NOUN
ejpam-5435	325	5	)	)	PUNCT
ejpam-5435	325	6	.	.	PUNCT
ejpam-5435	326	1	(	(	PUNCT
ejpam-5435	326	2	30	30	NUM
ejpam-5435	326	3	)	)	PUNCT
ejpam-5435	326	4	by	by	ADP
ejpam-5435	326	5	noting	note	VERB
ejpam-5435	326	6	the	the	DET
ejpam-5435	326	7	fact	fact	NOUN
ejpam-5435	326	8	that	that	SCONJ
ejpam-5435	326	9	(	(	PUNCT
ejpam-5435	326	10	α+	α+	PUNCT
ejpam-5435	326	11	βj	βj	X
ejpam-5435	326	12	α+	α+	X
ejpam-5435	326	13	β	β	NOUN
ejpam-5435	326	14	)	)	PUNCT
ejpam-5435	326	15	[	[	PUNCT
ejpam-5435	326	16	(	(	PUNCT
ejpam-5435	326	17	1−d	1−d	NUM
ejpam-5435	326	18	)	)	PUNCT
ejpam-5435	326	19	(	(	PUNCT
ejpam-5435	326	20	j	j	NOUN
ejpam-5435	326	21	−	−	PROPN
ejpam-5435	326	22	1	1	NUM
ejpam-5435	326	23	)	)	PUNCT
ejpam-5435	326	24	+	+	CCONJ
ejpam-5435	326	25	(	(	PUNCT
ejpam-5435	326	26	c	c	PROPN
ejpam-5435	326	27	−d	−d	PROPN
ejpam-5435	326	28	)	)	PUNCT
ejpam-5435	326	29	cos	cos	SCONJ
ejpam-5435	326	30	γ	γ	X
ejpam-5435	326	31	(	(	PUNCT
ejpam-5435	326	32	c	c	PROPN
ejpam-5435	326	33	−d	−d	PROPN
ejpam-5435	326	34	)	)	PUNCT
ejpam-5435	326	35	cos	cos	SCONJ
ejpam-5435	326	36	γ	γ	PROPN
ejpam-5435	326	37	]	]	PUNCT
ejpam-5435	326	38	is	be	AUX
ejpam-5435	326	39	an	an	DET
ejpam-5435	326	40	increasing	increasing	NOUN
ejpam-5435	326	41	for	for	ADP
ejpam-5435	326	42	j	j	PROPN
ejpam-5435	326	43	≥	≥	PROPN
ejpam-5435	326	44	2	2	NUM
ejpam-5435	326	45	.	.	PUNCT
ejpam-5435	327	1	in	in	ADP
ejpam-5435	327	2	view	view	NOUN
ejpam-5435	327	3	of	of	ADP
ejpam-5435	327	4	(	(	PUNCT
ejpam-5435	327	5	21	21	NUM
ejpam-5435	327	6	)	)	PUNCT
ejpam-5435	327	7	,	,	PUNCT
ejpam-5435	327	8	when	when	SCONJ
ejpam-5435	327	9	|ξ|	|ξ|	PROPN
ejpam-5435	327	10	=	=	SYM
ejpam-5435	327	11	r	r	NOUN
ejpam-5435	327	12	<	<	X
ejpam-5435	327	13	1	1	NUM
ejpam-5435	327	14	,	,	PUNCT
ejpam-5435	327	15	we	we	PRON
ejpam-5435	327	16	have	have	VERB
ejpam-5435	327	17	ℜ	ℜ	PROPN
ejpam-5435	327	18	1	1	NUM
ejpam-5435	327	19	+	+	CCONJ
ejpam-5435	328	1	(	(	PUNCT
ejpam-5435	328	2	α+2β	α+2β	PROPN
ejpam-5435	328	3	α+β	α+β	NUM
ejpam-5435	328	4	)	)	PUNCT
ejpam-5435	329	1	[	[	X
ejpam-5435	329	2	1−d	1−d	X
ejpam-5435	329	3	+	+	CCONJ
ejpam-5435	329	4	(	(	PUNCT
ejpam-5435	329	5	c	c	PROPN
ejpam-5435	329	6	−d	−d	PROPN
ejpam-5435	329	7	)	)	PUNCT
ejpam-5435	330	1	cos	cos	PROPN
ejpam-5435	330	2	γ	γ	X
ejpam-5435	330	3	]	]	X
ejpam-5435	330	4	(	(	PUNCT
ejpam-5435	330	5	c	c	PROPN
ejpam-5435	330	6	−d	−d	PROPN
ejpam-5435	330	7	)	)	PUNCT
ejpam-5435	331	1	cos	cos	ADP
ejpam-5435	331	2	γ	γ	PROPN
ejpam-5435	331	3	+	+	X
ejpam-5435	331	4	(	(	PUNCT
ejpam-5435	331	5	α+2β	α+2β	PROPN
ejpam-5435	331	6	α+β	α+β	NUM
ejpam-5435	331	7	)	)	PUNCT
ejpam-5435	332	1	[	[	X
ejpam-5435	332	2	1−d	1−d	X
ejpam-5435	332	3	+	+	CCONJ
ejpam-5435	332	4	(	(	PUNCT
ejpam-5435	332	5	c	c	PROPN
ejpam-5435	332	6	−d	−d	PROPN
ejpam-5435	332	7	)	)	PUNCT
ejpam-5435	333	1	cos	cos	PROPN
ejpam-5435	333	2	γ	γ	X
ejpam-5435	333	3	]	]	X
ejpam-5435	333	4	∞∑	∞∑	NUM
ejpam-5435	333	5	j=1	j=1	NOUN
ejpam-5435	333	6	ρj	ρj	NUM
ejpam-5435	333	7	ξ	ξ	X
ejpam-5435	333	8	j	j	X
ejpam-5435	333	9			PROPN
ejpam-5435	333	10	t.	t.	PROPN
ejpam-5435	333	11	m.	m.	PROPN
ejpam-5435	333	12	seoudy	seoudy	PROPN
ejpam-5435	333	13	/	/	SYM
ejpam-5435	333	14	eur	eur	PROPN
ejpam-5435	333	15	.	.	PUNCT
ejpam-5435	334	1	j.	j.	PROPN
ejpam-5435	334	2	pure	pure	PROPN
ejpam-5435	334	3	appl	appl	PROPN
ejpam-5435	334	4	.	.	PROPN
ejpam-5435	334	5	math	math	PROPN
ejpam-5435	334	6	,	,	PUNCT
ejpam-5435	334	7	17	17	NUM
ejpam-5435	334	8	(	(	PUNCT
ejpam-5435	334	9	4	4	NUM
ejpam-5435	334	10	)	)	PUNCT
ejpam-5435	334	11	(	(	PUNCT
ejpam-5435	334	12	2024	2024	NUM
ejpam-5435	334	13	)	)	PUNCT
ejpam-5435	334	14	,	,	PUNCT
ejpam-5435	334	15	3336	3336	NUM
ejpam-5435	334	16	-	-	SYM
ejpam-5435	334	17	3355	3355	NUM
ejpam-5435	334	18	3347	3347	NUM
ejpam-5435	334	19	=	=	SYM
ejpam-5435	334	20	ℜ	ℜ	PROPN
ejpam-5435	334	21	1	1	PUNCT
ejpam-5435	334	22	+	+	CCONJ
ejpam-5435	334	23	(	(	PUNCT
ejpam-5435	334	24	α+2β	α+2β	PROPN
ejpam-5435	334	25	α+β	α+β	NUM
ejpam-5435	334	26	)	)	PUNCT
ejpam-5435	335	1	[	[	X
ejpam-5435	335	2	1−d	1−d	X
ejpam-5435	335	3	+	+	CCONJ
ejpam-5435	335	4	(	(	PUNCT
ejpam-5435	335	5	c	c	PROPN
ejpam-5435	335	6	−d	−d	PROPN
ejpam-5435	335	7	)	)	PUNCT
ejpam-5435	336	1	cos	cos	PROPN
ejpam-5435	336	2	γ	γ	X
ejpam-5435	336	3	]	]	X
ejpam-5435	336	4	(	(	PUNCT
ejpam-5435	336	5	c	c	PROPN
ejpam-5435	336	6	−d	−d	PROPN
ejpam-5435	336	7	)	)	PUNCT
ejpam-5435	337	1	cos	cos	ADP
ejpam-5435	337	2	γ	γ	PROPN
ejpam-5435	337	3	+	+	X
ejpam-5435	337	4	(	(	PUNCT
ejpam-5435	337	5	α+2β	α+2β	PROPN
ejpam-5435	337	6	α+β	α+β	NUM
ejpam-5435	337	7	)	)	PUNCT
ejpam-5435	338	1	[	[	X
ejpam-5435	338	2	1−d	1−d	X
ejpam-5435	338	3	+	+	CCONJ
ejpam-5435	338	4	(	(	PUNCT
ejpam-5435	338	5	c	c	PROPN
ejpam-5435	338	6	−d	−d	PROPN
ejpam-5435	338	7	)	)	PUNCT
ejpam-5435	339	1	cos	cos	PROPN
ejpam-5435	339	2	γ	γ	X
ejpam-5435	339	3	]	]	X
ejpam-5435	339	4	ξ	ξ	X
ejpam-5435	339	5	+	+	PUNCT
ejpam-5435	339	6	∞∑	∞∑	NUM
ejpam-5435	339	7	j=2	j=2	NOUN
ejpam-5435	339	8	(	(	PUNCT
ejpam-5435	339	9	α+2β	α+2β	NOUN
ejpam-5435	339	10	α+β	α+β	NUM
ejpam-5435	339	11	)	)	PUNCT
ejpam-5435	340	1	[	[	X
ejpam-5435	340	2	1−d	1−d	X
ejpam-5435	340	3	+	+	CCONJ
ejpam-5435	340	4	(	(	PUNCT
ejpam-5435	340	5	c	c	PROPN
ejpam-5435	340	6	−d	−d	PROPN
ejpam-5435	340	7	)	)	PUNCT
ejpam-5435	341	1	cos	cos	PROPN
ejpam-5435	341	2	γ	γ	X
ejpam-5435	341	3	]	]	X
ejpam-5435	341	4	ρj	ρj	ADP
ejpam-5435	341	5	ξ	ξ	PROPN
ejpam-5435	341	6	j	j	PROPN
ejpam-5435	341	7	(	(	PUNCT
ejpam-5435	341	8	c	c	PROPN
ejpam-5435	341	9	−d	−d	PROPN
ejpam-5435	341	10	)	)	PUNCT
ejpam-5435	341	11	cos	cos	ADP
ejpam-5435	341	12	γ	γ	PROPN
ejpam-5435	341	13	+	+	X
ejpam-5435	341	14	(	(	PUNCT
ejpam-5435	341	15	α+2β	α+2β	PROPN
ejpam-5435	341	16	α+β	α+β	NUM
ejpam-5435	341	17	)	)	PUNCT
ejpam-5435	342	1	[	[	X
ejpam-5435	342	2	1−d	1−d	X
ejpam-5435	342	3	+	+	CCONJ
ejpam-5435	342	4	(	(	PUNCT
ejpam-5435	342	5	c	c	PROPN
ejpam-5435	342	6	−d	−d	PROPN
ejpam-5435	342	7	)	)	PUNCT
ejpam-5435	343	1	cos	cos	PROPN
ejpam-5435	343	2	γ	γ	X
ejpam-5435	343	3	]	]	X
ejpam-5435	343	4			NUM
ejpam-5435	343	5	≥	≥	NOUN
ejpam-5435	343	6	1−	1−	NUM
ejpam-5435	343	7	(	(	PUNCT
ejpam-5435	343	8	α+2β	α+2β	NOUN
ejpam-5435	343	9	α+β	α+β	NUM
ejpam-5435	343	10	)	)	PUNCT
ejpam-5435	344	1	[	[	X
ejpam-5435	344	2	1−d	1−d	X
ejpam-5435	344	3	+	+	CCONJ
ejpam-5435	344	4	(	(	PUNCT
ejpam-5435	344	5	c	c	PROPN
ejpam-5435	344	6	−d	−d	PROPN
ejpam-5435	344	7	)	)	PUNCT
ejpam-5435	345	1	cos	cos	PROPN
ejpam-5435	345	2	γ	γ	X
ejpam-5435	345	3	]	]	X
ejpam-5435	345	4	(	(	PUNCT
ejpam-5435	345	5	c	c	PROPN
ejpam-5435	345	6	−d	−d	PROPN
ejpam-5435	345	7	)	)	PUNCT
ejpam-5435	346	1	cos	cos	ADP
ejpam-5435	346	2	γ	γ	PROPN
ejpam-5435	346	3	+	+	X
ejpam-5435	346	4	(	(	PUNCT
ejpam-5435	346	5	α+2β	α+2β	PROPN
ejpam-5435	346	6	α+β	α+β	NUM
ejpam-5435	346	7	)	)	PUNCT
ejpam-5435	347	1	[	[	X
ejpam-5435	347	2	1−d	1−d	X
ejpam-5435	347	3	+	+	CCONJ
ejpam-5435	347	4	(	(	PUNCT
ejpam-5435	347	5	c	c	PROPN
ejpam-5435	347	6	−d	−d	PROPN
ejpam-5435	347	7	)	)	PUNCT
ejpam-5435	348	1	cos	cos	PROPN
ejpam-5435	348	2	γ	γ	X
ejpam-5435	348	3	]	]	X
ejpam-5435	348	4	r	r	NOUN
ejpam-5435	348	5	−	−	NOUN
ejpam-5435	348	6	∞∑	∞∑	NUM
ejpam-5435	348	7	j=2	j=2	PROPN
ejpam-5435	348	8	(	(	PUNCT
ejpam-5435	348	9	α+jβ	α+jβ	PROPN
ejpam-5435	348	10	α+β	α+β	NUM
ejpam-5435	348	11	)	)	PUNCT
ejpam-5435	349	1	[	[	X
ejpam-5435	349	2	(	(	PUNCT
ejpam-5435	349	3	1−d	1−d	NUM
ejpam-5435	349	4	)	)	PUNCT
ejpam-5435	349	5	(	(	PUNCT
ejpam-5435	349	6	j	j	NOUN
ejpam-5435	349	7	−	−	PROPN
ejpam-5435	349	8	1	1	NUM
ejpam-5435	349	9	)	)	PUNCT
ejpam-5435	349	10	+	+	CCONJ
ejpam-5435	349	11	(	(	PUNCT
ejpam-5435	349	12	c	c	PROPN
ejpam-5435	349	13	−d	−d	PROPN
ejpam-5435	349	14	)	)	PUNCT
ejpam-5435	350	1	cos	cos	PROPN
ejpam-5435	350	2	γ	γ	X
ejpam-5435	350	3	]	]	X
ejpam-5435	350	4	|ρj	|ρj	PROPN
ejpam-5435	350	5	|	|	ADV
ejpam-5435	350	6	rj	rj	PROPN
ejpam-5435	350	7	(	(	PUNCT
ejpam-5435	350	8	c	c	PROPN
ejpam-5435	350	9	−d	−d	PROPN
ejpam-5435	350	10	)	)	PUNCT
ejpam-5435	351	1	cos	cos	ADP
ejpam-5435	351	2	γ	γ	PROPN
ejpam-5435	351	3	+	+	X
ejpam-5435	351	4	(	(	PUNCT
ejpam-5435	351	5	α+2β	α+2β	PROPN
ejpam-5435	351	6	α+β	α+β	NUM
ejpam-5435	351	7	)	)	PUNCT
ejpam-5435	352	1	[	[	X
ejpam-5435	352	2	1−d	1−d	X
ejpam-5435	352	3	+	+	CCONJ
ejpam-5435	352	4	(	(	PUNCT
ejpam-5435	352	5	c	c	PROPN
ejpam-5435	352	6	−d	−d	PROPN
ejpam-5435	352	7	)	)	PUNCT
ejpam-5435	352	8	cos	cos	PROPN
ejpam-5435	352	9	γ	γ	X
ejpam-5435	352	10	]	]	X
ejpam-5435	352	11	≥	≥	NUM
ejpam-5435	352	12	1−	1−	NUM
ejpam-5435	352	13	(	(	PUNCT
ejpam-5435	352	14	α+2β	α+2β	NOUN
ejpam-5435	352	15	α+β	α+β	NUM
ejpam-5435	352	16	)	)	PUNCT
ejpam-5435	353	1	[	[	X
ejpam-5435	353	2	1−d	1−d	X
ejpam-5435	353	3	+	+	CCONJ
ejpam-5435	353	4	(	(	PUNCT
ejpam-5435	353	5	c	c	PROPN
ejpam-5435	353	6	−d	−d	PROPN
ejpam-5435	353	7	)	)	PUNCT
ejpam-5435	354	1	cos	cos	PROPN
ejpam-5435	354	2	γ	γ	X
ejpam-5435	354	3	]	]	X
ejpam-5435	354	4	(	(	PUNCT
ejpam-5435	354	5	c	c	PROPN
ejpam-5435	354	6	−d	−d	PROPN
ejpam-5435	354	7	)	)	PUNCT
ejpam-5435	355	1	cos	cos	ADP
ejpam-5435	355	2	γ	γ	PROPN
ejpam-5435	355	3	+	+	X
ejpam-5435	355	4	(	(	PUNCT
ejpam-5435	355	5	α+2β	α+2β	PROPN
ejpam-5435	355	6	α+β	α+β	NUM
ejpam-5435	355	7	)	)	PUNCT
ejpam-5435	356	1	[	[	X
ejpam-5435	356	2	1−d	1−d	X
ejpam-5435	356	3	+	+	CCONJ
ejpam-5435	356	4	(	(	PUNCT
ejpam-5435	356	5	c	c	PROPN
ejpam-5435	356	6	−d	−d	PROPN
ejpam-5435	356	7	)	)	PUNCT
ejpam-5435	357	1	cos	cos	PROPN
ejpam-5435	357	2	γ	γ	X
ejpam-5435	357	3	]	]	X
ejpam-5435	357	4	r	r	NOUN
ejpam-5435	357	5	−	−	PROPN
ejpam-5435	357	6	(	(	PUNCT
ejpam-5435	357	7	c	c	PROPN
ejpam-5435	357	8	−d	−d	PROPN
ejpam-5435	357	9	)	)	PUNCT
ejpam-5435	358	1	cos	cos	ADP
ejpam-5435	358	2	γ	γ	X
ejpam-5435	358	3	(	(	PUNCT
ejpam-5435	358	4	c	c	PROPN
ejpam-5435	358	5	−d	−d	PROPN
ejpam-5435	358	6	)	)	PUNCT
ejpam-5435	359	1	cos	cos	ADP
ejpam-5435	359	2	γ	γ	PROPN
ejpam-5435	359	3	+	+	X
ejpam-5435	359	4	(	(	PUNCT
ejpam-5435	359	5	α+2β	α+2β	PROPN
ejpam-5435	359	6	α+β	α+β	NUM
ejpam-5435	359	7	)	)	PUNCT
ejpam-5435	360	1	[	[	X
ejpam-5435	360	2	1−d	1−d	X
ejpam-5435	360	3	+	+	CCONJ
ejpam-5435	360	4	(	(	PUNCT
ejpam-5435	360	5	c	c	PROPN
ejpam-5435	360	6	−d	−d	PROPN
ejpam-5435	360	7	)	)	PUNCT
ejpam-5435	361	1	cos	cos	PROPN
ejpam-5435	361	2	γ	γ	X
ejpam-5435	361	3	]	]	X
ejpam-5435	361	4	r	r	NOUN
ejpam-5435	361	5	=	=	SYM
ejpam-5435	361	6	1−	1−	NUM
ejpam-5435	361	7	r	r	NOUN
ejpam-5435	361	8	>	>	X
ejpam-5435	361	9	0	0	PUNCT
ejpam-5435	361	10	(	(	PUNCT
ejpam-5435	361	11	|ξ|	|ξ|	PROPN
ejpam-5435	361	12	=	=	SYM
ejpam-5435	361	13	r	r	NOUN
ejpam-5435	361	14	<	<	X
ejpam-5435	361	15	1	1	NUM
ejpam-5435	361	16	)	)	PUNCT
ejpam-5435	361	17	.	.	PUNCT
ejpam-5435	362	1	this	this	PRON
ejpam-5435	362	2	proves	prove	VERB
ejpam-5435	362	3	(	(	PUNCT
ejpam-5435	362	4	30	30	NUM
ejpam-5435	362	5	)	)	PUNCT
ejpam-5435	362	6	and	and	CCONJ
ejpam-5435	362	7	(	(	PUNCT
ejpam-5435	362	8	28	28	NUM
ejpam-5435	362	9	)	)	PUNCT
ejpam-5435	362	10	.	.	PUNCT
ejpam-5435	363	1	the	the	DET
ejpam-5435	363	2	inequality	inequality	NOUN
ejpam-5435	363	3	(	(	PUNCT
ejpam-5435	363	4	29	29	NUM
ejpam-5435	363	5	)	)	PUNCT
ejpam-5435	363	6	follows	follow	VERB
ejpam-5435	363	7	from	from	ADP
ejpam-5435	363	8	(	(	PUNCT
ejpam-5435	363	9	28	28	NUM
ejpam-5435	363	10	)	)	PUNCT
ejpam-5435	363	11	by	by	ADP
ejpam-5435	363	12	letting	let	VERB
ejpam-5435	363	13	ϕ	ϕ	X
ejpam-5435	363	14	(	(	PUNCT
ejpam-5435	363	15	ξ	ξ	NOUN
ejpam-5435	363	16	)	)	PUNCT
ejpam-5435	363	17	=	=	SYM
ejpam-5435	364	1	ξ	ξ	PROPN
ejpam-5435	364	2	1−	1−	NUM
ejpam-5435	364	3	ξ	ξ	X
ejpam-5435	364	4	=	=	SYM
ejpam-5435	364	5	ξ	ξ	PROPN
ejpam-5435	364	6	+	+	NUM
ejpam-5435	364	7	∞∑	∞∑	NUM
ejpam-5435	364	8	j=2	j=2	NOUN
ejpam-5435	364	9	ξj	ξj	NOUN
ejpam-5435	364	10	∈	∈	PROPN
ejpam-5435	364	11	k.	k.	NOUN
ejpam-5435	365	1	the	the	DET
ejpam-5435	365	2	sharpness	sharpness	NOUN
ejpam-5435	365	3	of	of	ADP
ejpam-5435	365	4	the	the	DET
ejpam-5435	365	5	multiplying	multiply	VERB
ejpam-5435	365	6	factor	factor	NOUN
ejpam-5435	365	7	in	in	ADP
ejpam-5435	365	8	(	(	PUNCT
ejpam-5435	365	9	28	28	NUM
ejpam-5435	365	10	)	)	PUNCT
ejpam-5435	365	11	can	can	AUX
ejpam-5435	365	12	be	be	AUX
ejpam-5435	365	13	established	establish	VERB
ejpam-5435	365	14	by	by	ADP
ejpam-5435	365	15	considering	consider	VERB
ejpam-5435	365	16	a	a	DET
ejpam-5435	365	17	function	function	NOUN
ejpam-5435	365	18	ψ	ψ	X
ejpam-5435	365	19	(	(	PUNCT
ejpam-5435	365	20	ξ	ξ	NOUN
ejpam-5435	365	21	)	)	PUNCT
ejpam-5435	365	22	=	=	SYM
ejpam-5435	366	1	ξ	ξ	PROPN
ejpam-5435	366	2	−	−	PROPN
ejpam-5435	366	3	(	(	PUNCT
ejpam-5435	366	4	c	c	PROPN
ejpam-5435	366	5	−d	−d	PROPN
ejpam-5435	366	6	)	)	PUNCT
ejpam-5435	366	7	cos	cos	ADP
ejpam-5435	366	8	γ	γ	X
ejpam-5435	366	9	(	(	PUNCT
ejpam-5435	366	10	α+2β	α+2β	PROPN
ejpam-5435	366	11	α+β	α+β	NUM
ejpam-5435	366	12	)	)	PUNCT
ejpam-5435	367	1	[	[	X
ejpam-5435	367	2	1−d	1−d	X
ejpam-5435	367	3	+	+	CCONJ
ejpam-5435	367	4	(	(	PUNCT
ejpam-5435	367	5	c	c	PROPN
ejpam-5435	367	6	−d	−d	PROPN
ejpam-5435	367	7	)	)	PUNCT
ejpam-5435	368	1	cos	cos	ADP
ejpam-5435	368	2	γ	γ	X
ejpam-5435	368	3	]	]	X
ejpam-5435	368	4	ξ2	ξ2	NOUN
ejpam-5435	368	5	.	.	PUNCT
ejpam-5435	369	1	clearly	clearly	ADV
ejpam-5435	369	2	ψ	ψ	ADP
ejpam-5435	369	3	∈	∈	NOUN
ejpam-5435	369	4	skγ	skγ	PUNCT
ejpam-5435	370	1	[	[	X
ejpam-5435	370	2	α	α	X
ejpam-5435	370	3	,	,	PUNCT
ejpam-5435	370	4	β;c	β;c	PRON
ejpam-5435	370	5	,	,	PUNCT
ejpam-5435	370	6	d	d	X
ejpam-5435	370	7	]	]	X
ejpam-5435	370	8	satisfy	satisfy	NOUN
ejpam-5435	370	9	(	(	PUNCT
ejpam-5435	370	10	21	21	NUM
ejpam-5435	370	11	)	)	PUNCT
ejpam-5435	370	12	.	.	PUNCT
ejpam-5435	371	1	using	use	VERB
ejpam-5435	371	2	(	(	PUNCT
ejpam-5435	371	3	28	28	NUM
ejpam-5435	371	4	)	)	PUNCT
ejpam-5435	371	5	we	we	PRON
ejpam-5435	371	6	infer	infer	VERB
ejpam-5435	371	7	that	that	SCONJ
ejpam-5435	371	8	(	(	PUNCT
ejpam-5435	371	9	α+2β	α+2β	PROPN
ejpam-5435	371	10	α+β	α+β	NUM
ejpam-5435	371	11	)	)	PUNCT
ejpam-5435	372	1	[	[	X
ejpam-5435	372	2	1−d	1−d	X
ejpam-5435	372	3	+	+	CCONJ
ejpam-5435	372	4	(	(	PUNCT
ejpam-5435	372	5	c	c	PROPN
ejpam-5435	372	6	−d	−d	PROPN
ejpam-5435	372	7	)	)	PUNCT
ejpam-5435	373	1	cos	cos	PROPN
ejpam-5435	373	2	γ	γ	X
ejpam-5435	373	3	]	]	X
ejpam-5435	373	4	2	2	NUM
ejpam-5435	373	5	{	{	PUNCT
ejpam-5435	373	6	(	(	PUNCT
ejpam-5435	373	7	c	c	PROPN
ejpam-5435	373	8	−d	−d	PROPN
ejpam-5435	373	9	)	)	PUNCT
ejpam-5435	374	1	cos	cos	ADP
ejpam-5435	374	2	γ	γ	PROPN
ejpam-5435	374	3	+	+	X
ejpam-5435	374	4	(	(	PUNCT
ejpam-5435	374	5	α+2β	α+2β	PROPN
ejpam-5435	374	6	α+β	α+β	NUM
ejpam-5435	374	7	)	)	PUNCT
ejpam-5435	375	1	[	[	X
ejpam-5435	375	2	1−d	1−d	X
ejpam-5435	375	3	+	+	CCONJ
ejpam-5435	375	4	(	(	PUNCT
ejpam-5435	375	5	c	c	PROPN
ejpam-5435	375	6	−d	−d	PROPN
ejpam-5435	375	7	)	)	PUNCT
ejpam-5435	376	1	cos	cos	PROPN
ejpam-5435	376	2	γ	γ	X
ejpam-5435	376	3	]	]	X
ejpam-5435	376	4	}	}	PUNCT
ejpam-5435	376	5	ψ(ξ	ψ(ξ	PROPN
ejpam-5435	376	6	)	)	PUNCT
ejpam-5435	376	7	≺	≺	NOUN
ejpam-5435	376	8	ξ	ξ	PROPN
ejpam-5435	376	9	1−	1−	NUM
ejpam-5435	376	10	ξ	ξ	NUM
ejpam-5435	376	11	,	,	PUNCT
ejpam-5435	376	12	and	and	CCONJ
ejpam-5435	376	13	it	it	PRON
ejpam-5435	376	14	follows	follow	VERB
ejpam-5435	376	15	that	that	SCONJ
ejpam-5435	376	16	min	min	PROPN
ejpam-5435	376	17	|ξ|≤r	|ξ|≤r	PROPN
ejpam-5435	376	18			PUNCT
ejpam-5435	376	19	(	(	PUNCT
ejpam-5435	376	20	α+2β	α+2β	PROPN
ejpam-5435	376	21	α+β	α+β	NUM
ejpam-5435	376	22	)	)	PUNCT
ejpam-5435	377	1	[	[	X
ejpam-5435	377	2	1−d	1−d	X
ejpam-5435	377	3	+	+	CCONJ
ejpam-5435	377	4	(	(	PUNCT
ejpam-5435	377	5	c	c	PROPN
ejpam-5435	377	6	−d	−d	PROPN
ejpam-5435	377	7	)	)	PUNCT
ejpam-5435	378	1	cos	cos	PROPN
ejpam-5435	378	2	γ	γ	X
ejpam-5435	378	3	]	]	X
ejpam-5435	378	4	2	2	NUM
ejpam-5435	378	5	{	{	PUNCT
ejpam-5435	378	6	(	(	PUNCT
ejpam-5435	378	7	c	c	PROPN
ejpam-5435	378	8	−d	−d	PROPN
ejpam-5435	378	9	)	)	PUNCT
ejpam-5435	379	1	cos	cos	ADP
ejpam-5435	379	2	γ	γ	PROPN
ejpam-5435	379	3	+	+	X
ejpam-5435	379	4	(	(	PUNCT
ejpam-5435	379	5	α+2β	α+2β	PROPN
ejpam-5435	379	6	α+β	α+β	NUM
ejpam-5435	379	7	)	)	PUNCT
ejpam-5435	380	1	[	[	X
ejpam-5435	380	2	1−d	1−d	X
ejpam-5435	380	3	+	+	CCONJ
ejpam-5435	380	4	(	(	PUNCT
ejpam-5435	380	5	c	c	PROPN
ejpam-5435	380	6	−d	−d	PROPN
ejpam-5435	380	7	)	)	PUNCT
ejpam-5435	381	1	cos	cos	PROPN
ejpam-5435	381	2	γ	γ	X
ejpam-5435	381	3	]	]	X
ejpam-5435	381	4	}	}	PUNCT
ejpam-5435	381	5	ℜ{ψ(ξ	ℜ{ψ(ξ	NOUN
ejpam-5435	381	6	)	)	PUNCT
ejpam-5435	381	7	}	}	PUNCT
ejpam-5435	382	1			NOUN
ejpam-5435	382	2	=	=	SYM
ejpam-5435	382	3	−1	−1	NOUN
ejpam-5435	382	4	2	2	NUM
ejpam-5435	382	5	.	.	PUNCT
ejpam-5435	383	1	t.	t.	PROPN
ejpam-5435	383	2	m.	m.	PROPN
ejpam-5435	383	3	seoudy	seoudy	PROPN
ejpam-5435	383	4	/	/	SYM
ejpam-5435	383	5	eur	eur	PROPN
ejpam-5435	383	6	.	.	PUNCT
ejpam-5435	384	1	j.	j.	PROPN
ejpam-5435	384	2	pure	pure	PROPN
ejpam-5435	384	3	appl	appl	PROPN
ejpam-5435	384	4	.	.	PROPN
ejpam-5435	384	5	math	math	PROPN
ejpam-5435	384	6	,	,	PUNCT
ejpam-5435	384	7	17	17	NUM
ejpam-5435	384	8	(	(	PUNCT
ejpam-5435	384	9	4	4	NUM
ejpam-5435	384	10	)	)	PUNCT
ejpam-5435	384	11	(	(	PUNCT
ejpam-5435	384	12	2024	2024	NUM
ejpam-5435	384	13	)	)	PUNCT
ejpam-5435	384	14	,	,	PUNCT
ejpam-5435	384	15	3336	3336	NUM
ejpam-5435	384	16	-	-	SYM
ejpam-5435	384	17	3355	3355	NUM
ejpam-5435	384	18	3348	3348	NUM
ejpam-5435	384	19	this	this	PRON
ejpam-5435	384	20	shows	show	VERB
ejpam-5435	384	21	that	that	SCONJ
ejpam-5435	384	22	the	the	DET
ejpam-5435	384	23	constant	constant	ADJ
ejpam-5435	384	24	(	(	PUNCT
ejpam-5435	384	25	α+2β	α+2β	PROPN
ejpam-5435	384	26	α+β	α+β	NUM
ejpam-5435	384	27	)	)	PUNCT
ejpam-5435	385	1	[	[	X
ejpam-5435	385	2	1−d	1−d	X
ejpam-5435	385	3	+	+	CCONJ
ejpam-5435	385	4	(	(	PUNCT
ejpam-5435	385	5	c	c	PROPN
ejpam-5435	385	6	−d	−d	PROPN
ejpam-5435	385	7	)	)	PUNCT
ejpam-5435	386	1	cos	cos	PROPN
ejpam-5435	386	2	γ	γ	X
ejpam-5435	386	3	]	]	X
ejpam-5435	386	4	2	2	NUM
ejpam-5435	386	5	{	{	PUNCT
ejpam-5435	386	6	(	(	PUNCT
ejpam-5435	386	7	c	c	PROPN
ejpam-5435	386	8	−d	−d	PROPN
ejpam-5435	386	9	)	)	PUNCT
ejpam-5435	387	1	cos	cos	ADP
ejpam-5435	387	2	γ	γ	PROPN
ejpam-5435	387	3	+	+	X
ejpam-5435	387	4	(	(	PUNCT
ejpam-5435	387	5	α+2β	α+2β	PROPN
ejpam-5435	387	6	α+β	α+β	NUM
ejpam-5435	387	7	)	)	PUNCT
ejpam-5435	388	1	[	[	X
ejpam-5435	388	2	1−d	1−d	X
ejpam-5435	388	3	+	+	CCONJ
ejpam-5435	388	4	(	(	PUNCT
ejpam-5435	388	5	c	c	PROPN
ejpam-5435	388	6	−d	−d	PROPN
ejpam-5435	388	7	)	)	PUNCT
ejpam-5435	388	8	cos	cos	PROPN
ejpam-5435	388	9	γ	γ	X
ejpam-5435	388	10	]	]	X
ejpam-5435	388	11	}	}	PUNCT
ejpam-5435	388	12	can	can	AUX
ejpam-5435	388	13	not	not	PART
ejpam-5435	388	14	be	be	AUX
ejpam-5435	388	15	replaced	replace	VERB
ejpam-5435	388	16	by	by	ADP
ejpam-5435	388	17	any	any	DET
ejpam-5435	388	18	larger	large	ADJ
ejpam-5435	388	19	one	one	NOUN
ejpam-5435	388	20	.	.	PUNCT
ejpam-5435	389	1	for	for	ADP
ejpam-5435	389	2	γ	γ	X
ejpam-5435	389	3	=	=	SYM
ejpam-5435	389	4	0	0	NUM
ejpam-5435	389	5	in	in	ADP
ejpam-5435	389	6	theorem	theorem	NOUN
ejpam-5435	389	7	5	5	NUM
ejpam-5435	389	8	,	,	PUNCT
ejpam-5435	389	9	we	we	PRON
ejpam-5435	389	10	get	get	VERB
ejpam-5435	389	11	corollary	corollary	ADJ
ejpam-5435	389	12	18	18	NUM
ejpam-5435	389	13	.	.	PUNCT
ejpam-5435	390	1	let	let	VERB
ejpam-5435	390	2	ψ	ψ	X
ejpam-5435	390	3	(	(	PUNCT
ejpam-5435	390	4	ξ	ξ	NOUN
ejpam-5435	390	5	)	)	PUNCT
ejpam-5435	390	6	∈	∈	NOUN
ejpam-5435	390	7	sk	sk	X
ejpam-5435	391	1	[	[	X
ejpam-5435	391	2	α	α	X
ejpam-5435	391	3	,	,	PUNCT
ejpam-5435	391	4	β;c	β;c	PRON
ejpam-5435	391	5	,	,	PUNCT
ejpam-5435	391	6	d	d	X
ejpam-5435	391	7	]	]	X
ejpam-5435	391	8	satisfy	satisfy	VERB
ejpam-5435	391	9	the	the	DET
ejpam-5435	391	10	coefficient	coefficient	NOUN
ejpam-5435	391	11	inequality	inequality	NOUN
ejpam-5435	391	12	(	(	PUNCT
ejpam-5435	391	13	22	22	NUM
ejpam-5435	391	14	)	)	PUNCT
ejpam-5435	391	15	and	and	CCONJ
ejpam-5435	391	16	let	let	VERB
ejpam-5435	392	1	ϕ	ϕ	X
ejpam-5435	392	2	(	(	PUNCT
ejpam-5435	392	3	ξ	ξ	NOUN
ejpam-5435	392	4	)	)	PUNCT
ejpam-5435	392	5	∈	∈	PROPN
ejpam-5435	392	6	k	k	NOUN
ejpam-5435	392	7	,	,	PUNCT
ejpam-5435	392	8	then	then	ADV
ejpam-5435	392	9	(	(	PUNCT
ejpam-5435	392	10	α+2β	α+2β	PROPN
ejpam-5435	392	11	α+β	α+β	NUM
ejpam-5435	392	12	)	)	PUNCT
ejpam-5435	392	13	(	(	PUNCT
ejpam-5435	392	14	1−	1−	NUM
ejpam-5435	392	15	2d	2d	NUM
ejpam-5435	392	16	+	+	CCONJ
ejpam-5435	392	17	c	c	X
ejpam-5435	392	18	)	)	PUNCT
ejpam-5435	392	19	2	2	NUM
ejpam-5435	392	20	[	[	PUNCT
ejpam-5435	392	21	c	c	NOUN
ejpam-5435	392	22	−d	−d	VERB
ejpam-5435	392	23	+	+	CCONJ
ejpam-5435	392	24	(	(	PUNCT
ejpam-5435	392	25	α+2β	α+2β	PROPN
ejpam-5435	392	26	α+β	α+β	NUM
ejpam-5435	392	27	)	)	PUNCT
ejpam-5435	392	28	(	(	PUNCT
ejpam-5435	392	29	1−	1−	NUM
ejpam-5435	392	30	2d	2d	NUM
ejpam-5435	392	31	+	+	CCONJ
ejpam-5435	392	32	c	c	X
ejpam-5435	392	33	)	)	PUNCT
ejpam-5435	392	34	]	]	PUNCT
ejpam-5435	393	1	(	(	PUNCT
ejpam-5435	393	2	ψ	ψ	X
ejpam-5435	393	3	∗	∗	PRON
ejpam-5435	393	4	ϕ	ϕ	NOUN
ejpam-5435	393	5	)	)	PUNCT
ejpam-5435	393	6	(	(	PUNCT
ejpam-5435	393	7	ξ	ξ	X
ejpam-5435	393	8	)	)	PUNCT
ejpam-5435	393	9	≺	≺	NOUN
ejpam-5435	393	10	ϕ	ϕ	X
ejpam-5435	393	11	(	(	PUNCT
ejpam-5435	393	12	ξ	ξ	NOUN
ejpam-5435	393	13	)	)	PUNCT
ejpam-5435	393	14	(	(	PUNCT
ejpam-5435	393	15	31	31	NUM
ejpam-5435	393	16	)	)	PUNCT
ejpam-5435	393	17	and	and	CCONJ
ejpam-5435	393	18	ℜ{ψ	ℜ{ψ	NUM
ejpam-5435	393	19	(	(	PUNCT
ejpam-5435	393	20	ξ	ξ	NOUN
ejpam-5435	393	21	)	)	PUNCT
ejpam-5435	393	22	}	}	PUNCT
ejpam-5435	393	23	>	>	X
ejpam-5435	393	24	−	−	PUNCT
ejpam-5435	393	25	c	c	NOUN
ejpam-5435	393	26	−d	−d	VERB
ejpam-5435	393	27	+	+	CCONJ
ejpam-5435	393	28	(	(	PUNCT
ejpam-5435	393	29	α+2β	α+2β	PROPN
ejpam-5435	393	30	α+β	α+β	NUM
ejpam-5435	393	31	)	)	PUNCT
ejpam-5435	393	32	(	(	PUNCT
ejpam-5435	393	33	1−	1−	NUM
ejpam-5435	393	34	2d	2d	NUM
ejpam-5435	393	35	+	+	CCONJ
ejpam-5435	393	36	c	c	X
ejpam-5435	393	37	)	)	PUNCT
ejpam-5435	393	38	(	(	PUNCT
ejpam-5435	393	39	α+2β	α+2β	PROPN
ejpam-5435	393	40	α+β	α+β	NUM
ejpam-5435	393	41	)	)	PUNCT
ejpam-5435	393	42	(	(	PUNCT
ejpam-5435	393	43	1−	1−	NUM
ejpam-5435	393	44	2d	2d	NUM
ejpam-5435	393	45	+	+	CCONJ
ejpam-5435	393	46	c	c	NOUN
ejpam-5435	393	47	)	)	PUNCT
ejpam-5435	393	48	.	.	PUNCT
ejpam-5435	394	1	(	(	PUNCT
ejpam-5435	394	2	32	32	NUM
ejpam-5435	394	3	)	)	PUNCT
ejpam-5435	394	4	the	the	DET
ejpam-5435	394	5	constant	constant	ADJ
ejpam-5435	394	6	factor	factor	NOUN
ejpam-5435	394	7	(	(	PUNCT
ejpam-5435	394	8	α+2β	α+2β	PROPN
ejpam-5435	394	9	α+β	α+β	NUM
ejpam-5435	394	10	)	)	PUNCT
ejpam-5435	394	11	(	(	PUNCT
ejpam-5435	394	12	1−	1−	NUM
ejpam-5435	394	13	2d	2d	NUM
ejpam-5435	394	14	+	+	CCONJ
ejpam-5435	394	15	c	c	X
ejpam-5435	394	16	)	)	PUNCT
ejpam-5435	394	17	2	2	NUM
ejpam-5435	394	18	[	[	PUNCT
ejpam-5435	394	19	c	c	NOUN
ejpam-5435	394	20	−d	−d	VERB
ejpam-5435	394	21	+	+	CCONJ
ejpam-5435	394	22	(	(	PUNCT
ejpam-5435	394	23	α+2β	α+2β	PROPN
ejpam-5435	394	24	α+β	α+β	NUM
ejpam-5435	394	25	)	)	PUNCT
ejpam-5435	394	26	(	(	PUNCT
ejpam-5435	394	27	1−	1−	NUM
ejpam-5435	394	28	2d	2d	NUM
ejpam-5435	394	29	+	+	CCONJ
ejpam-5435	394	30	c	c	X
ejpam-5435	394	31	)	)	PUNCT
ejpam-5435	394	32	]	]	PUNCT
ejpam-5435	395	1	in	in	ADP
ejpam-5435	395	2	(	(	PUNCT
ejpam-5435	395	3	31	31	NUM
ejpam-5435	395	4	)	)	PUNCT
ejpam-5435	395	5	can	can	AUX
ejpam-5435	395	6	not	not	PART
ejpam-5435	395	7	be	be	AUX
ejpam-5435	395	8	replaced	replace	VERB
ejpam-5435	395	9	by	by	ADP
ejpam-5435	395	10	a	a	DET
ejpam-5435	395	11	larger	large	ADJ
ejpam-5435	395	12	number	number	NOUN
ejpam-5435	395	13	.	.	PUNCT
ejpam-5435	396	1	taking	take	VERB
ejpam-5435	396	2	β	β	X
ejpam-5435	396	3	=	=	SYM
ejpam-5435	396	4	0	0	PUNCT
ejpam-5435	396	5	in	in	ADP
ejpam-5435	396	6	theorem	theorem	NOUN
ejpam-5435	396	7	5	5	NUM
ejpam-5435	396	8	,	,	PUNCT
ejpam-5435	396	9	we	we	PRON
ejpam-5435	396	10	get	get	VERB
ejpam-5435	396	11	corollary	corollary	ADJ
ejpam-5435	396	12	19	19	NUM
ejpam-5435	396	13	.	.	PUNCT
ejpam-5435	397	1	let	let	VERB
ejpam-5435	397	2	ψ	ψ	X
ejpam-5435	397	3	(	(	PUNCT
ejpam-5435	397	4	ξ	ξ	NOUN
ejpam-5435	397	5	)	)	PUNCT
ejpam-5435	397	6	∈	∈	NOUN
ejpam-5435	397	7	sγ	sγ	VERB
ejpam-5435	398	1	[	[	X
ejpam-5435	398	2	c	c	X
ejpam-5435	398	3	,	,	PUNCT
ejpam-5435	398	4	d	d	X
ejpam-5435	398	5	]	]	X
ejpam-5435	398	6	satisfy	satisfy	VERB
ejpam-5435	398	7	the	the	DET
ejpam-5435	398	8	coefficient	coefficient	NOUN
ejpam-5435	398	9	inequality	inequality	NOUN
ejpam-5435	398	10	(	(	PUNCT
ejpam-5435	398	11	23	23	NUM
ejpam-5435	398	12	)	)	PUNCT
ejpam-5435	398	13	and	and	CCONJ
ejpam-5435	398	14	let	let	VERB
ejpam-5435	399	1	ϕ	ϕ	X
ejpam-5435	399	2	(	(	PUNCT
ejpam-5435	399	3	ξ	ξ	NOUN
ejpam-5435	399	4	)	)	PUNCT
ejpam-5435	399	5	∈	∈	PROPN
ejpam-5435	399	6	k	k	NOUN
ejpam-5435	399	7	,	,	PUNCT
ejpam-5435	399	8	then	then	ADV
ejpam-5435	399	9	1−d	1−d	NUM
ejpam-5435	399	10	+	+	CCONJ
ejpam-5435	399	11	(	(	PUNCT
ejpam-5435	399	12	c	c	PROPN
ejpam-5435	399	13	−d	−d	PROPN
ejpam-5435	399	14	)	)	PUNCT
ejpam-5435	399	15	cos	cos	ADP
ejpam-5435	399	16	γ	γ	X
ejpam-5435	399	17	2	2	NUM
ejpam-5435	400	1	[	[	SYM
ejpam-5435	400	2	2	2	NUM
ejpam-5435	400	3	(	(	PUNCT
ejpam-5435	400	4	c	c	PROPN
ejpam-5435	400	5	−d	−d	PROPN
ejpam-5435	400	6	)	)	PUNCT
ejpam-5435	401	1	cos	cos	ADP
ejpam-5435	401	2	γ	γ	PROPN
ejpam-5435	401	3	+	+	X
ejpam-5435	401	4	1−d	1−d	NUM
ejpam-5435	401	5	]	]	PUNCT
ejpam-5435	401	6	(	(	PUNCT
ejpam-5435	401	7	ψ	ψ	X
ejpam-5435	401	8	∗	∗	PRON
ejpam-5435	401	9	ϕ	ϕ	NOUN
ejpam-5435	401	10	)	)	PUNCT
ejpam-5435	401	11	(	(	PUNCT
ejpam-5435	401	12	ξ	ξ	X
ejpam-5435	401	13	)	)	PUNCT
ejpam-5435	401	14	≺	≺	NOUN
ejpam-5435	401	15	ϕ	ϕ	X
ejpam-5435	401	16	(	(	PUNCT
ejpam-5435	401	17	ξ	ξ	NOUN
ejpam-5435	401	18	)	)	PUNCT
ejpam-5435	401	19	(	(	PUNCT
ejpam-5435	401	20	33	33	NUM
ejpam-5435	401	21	)	)	PUNCT
ejpam-5435	401	22	and	and	CCONJ
ejpam-5435	401	23	ℜ{ψ	ℜ{ψ	NUM
ejpam-5435	401	24	(	(	PUNCT
ejpam-5435	401	25	ξ	ξ	NOUN
ejpam-5435	401	26	)	)	PUNCT
ejpam-5435	401	27	}	}	PUNCT
ejpam-5435	401	28	>	>	PUNCT
ejpam-5435	401	29	−2	−2	NOUN
ejpam-5435	401	30	(	(	PUNCT
ejpam-5435	401	31	c	c	PROPN
ejpam-5435	401	32	−d	−d	PROPN
ejpam-5435	401	33	)	)	PUNCT
ejpam-5435	402	1	cos	cos	ADP
ejpam-5435	402	2	γ	γ	X
ejpam-5435	402	3	+	+	X
ejpam-5435	402	4	1−d	1−d	NUM
ejpam-5435	402	5	1−d	1−d	NUM
ejpam-5435	403	1	+	+	CCONJ
ejpam-5435	403	2	(	(	PUNCT
ejpam-5435	403	3	c	c	PROPN
ejpam-5435	403	4	−d	−d	PROPN
ejpam-5435	403	5	)	)	PUNCT
ejpam-5435	404	1	cos	cos	PROPN
ejpam-5435	404	2	γ	γ	X
ejpam-5435	404	3	.	.	PUNCT
ejpam-5435	405	1	(	(	PUNCT
ejpam-5435	405	2	34	34	NUM
ejpam-5435	405	3	)	)	PUNCT
ejpam-5435	405	4	the	the	DET
ejpam-5435	405	5	constant	constant	ADJ
ejpam-5435	405	6	factor	factor	NOUN
ejpam-5435	405	7	1−d	1−d	NUM
ejpam-5435	406	1	+	+	CCONJ
ejpam-5435	407	1	(	(	PUNCT
ejpam-5435	407	2	c	c	PROPN
ejpam-5435	407	3	−d	−d	PROPN
ejpam-5435	407	4	)	)	PUNCT
ejpam-5435	408	1	cos	cos	ADP
ejpam-5435	408	2	γ	γ	X
ejpam-5435	408	3	2	2	NUM
ejpam-5435	409	1	[	[	SYM
ejpam-5435	409	2	2	2	NUM
ejpam-5435	409	3	(	(	PUNCT
ejpam-5435	409	4	c	c	PROPN
ejpam-5435	409	5	−d	−d	PROPN
ejpam-5435	409	6	)	)	PUNCT
ejpam-5435	410	1	cos	cos	SCONJ
ejpam-5435	410	2	γ	γ	PROPN
ejpam-5435	410	3	+	+	X
ejpam-5435	410	4	1−d	1−d	NUM
ejpam-5435	410	5	]	]	PUNCT
ejpam-5435	410	6	in	in	ADP
ejpam-5435	410	7	(	(	PUNCT
ejpam-5435	410	8	33	33	NUM
ejpam-5435	410	9	)	)	PUNCT
ejpam-5435	410	10	can	can	AUX
ejpam-5435	410	11	not	not	PART
ejpam-5435	410	12	be	be	AUX
ejpam-5435	410	13	replaced	replace	VERB
ejpam-5435	410	14	by	by	ADP
ejpam-5435	410	15	a	a	DET
ejpam-5435	410	16	larger	large	ADJ
ejpam-5435	410	17	number	number	NOUN
ejpam-5435	410	18	.	.	PUNCT
ejpam-5435	411	1	taking	take	VERB
ejpam-5435	411	2	α	α	NOUN
ejpam-5435	411	3	=	=	SYM
ejpam-5435	411	4	0	0	NUM
ejpam-5435	411	5	in	in	ADP
ejpam-5435	411	6	theorem	theorem	NOUN
ejpam-5435	411	7	5	5	NUM
ejpam-5435	411	8	,	,	PUNCT
ejpam-5435	411	9	we	we	PRON
ejpam-5435	411	10	get	get	VERB
ejpam-5435	411	11	t.	t.	NOUN
ejpam-5435	411	12	m.	m.	NOUN
ejpam-5435	411	13	seoudy	seoudy	PROPN
ejpam-5435	411	14	/	/	SYM
ejpam-5435	411	15	eur	eur	PROPN
ejpam-5435	411	16	.	.	PUNCT
ejpam-5435	412	1	j.	j.	PROPN
ejpam-5435	412	2	pure	pure	PROPN
ejpam-5435	412	3	appl	appl	PROPN
ejpam-5435	412	4	.	.	PROPN
ejpam-5435	412	5	math	math	PROPN
ejpam-5435	412	6	,	,	PUNCT
ejpam-5435	412	7	17	17	NUM
ejpam-5435	412	8	(	(	PUNCT
ejpam-5435	412	9	4	4	NUM
ejpam-5435	412	10	)	)	PUNCT
ejpam-5435	412	11	(	(	PUNCT
ejpam-5435	412	12	2024	2024	NUM
ejpam-5435	412	13	)	)	PUNCT
ejpam-5435	412	14	,	,	PUNCT
ejpam-5435	412	15	3336	3336	NUM
ejpam-5435	412	16	-	-	SYM
ejpam-5435	412	17	3355	3355	NUM
ejpam-5435	412	18	3349	3349	NUM
ejpam-5435	412	19	corollary	corollary	NOUN
ejpam-5435	412	20	20	20	NUM
ejpam-5435	412	21	.	.	PUNCT
ejpam-5435	413	1	let	let	VERB
ejpam-5435	413	2	ψ	ψ	X
ejpam-5435	413	3	(	(	PUNCT
ejpam-5435	413	4	ξ	ξ	NOUN
ejpam-5435	413	5	)	)	PUNCT
ejpam-5435	413	6	∈	∈	PROPN
ejpam-5435	413	7	kγ	kγ	X
ejpam-5435	414	1	[	[	X
ejpam-5435	414	2	c	c	X
ejpam-5435	414	3	,	,	PUNCT
ejpam-5435	414	4	d	d	X
ejpam-5435	414	5	]	]	X
ejpam-5435	414	6	satisfy	satisfy	VERB
ejpam-5435	414	7	the	the	DET
ejpam-5435	414	8	coefficient	coefficient	NOUN
ejpam-5435	414	9	inequality	inequality	NOUN
ejpam-5435	414	10	(	(	PUNCT
ejpam-5435	414	11	24	24	NUM
ejpam-5435	414	12	)	)	PUNCT
ejpam-5435	414	13	and	and	CCONJ
ejpam-5435	414	14	let	let	VERB
ejpam-5435	415	1	ϕ	ϕ	X
ejpam-5435	415	2	(	(	PUNCT
ejpam-5435	415	3	ξ	ξ	NOUN
ejpam-5435	415	4	)	)	PUNCT
ejpam-5435	415	5	∈	∈	PROPN
ejpam-5435	415	6	k	k	NOUN
ejpam-5435	415	7	,	,	PUNCT
ejpam-5435	415	8	then	then	ADV
ejpam-5435	415	9	1−d	1−d	NUM
ejpam-5435	415	10	+	+	CCONJ
ejpam-5435	415	11	(	(	PUNCT
ejpam-5435	415	12	c	c	PROPN
ejpam-5435	415	13	−d	−d	PROPN
ejpam-5435	415	14	)	)	PUNCT
ejpam-5435	415	15	cos	cos	ADP
ejpam-5435	415	16	γ	γ	X
ejpam-5435	415	17	3	3	NUM
ejpam-5435	415	18	(	(	PUNCT
ejpam-5435	415	19	c	c	PROPN
ejpam-5435	415	20	−d	−d	PROPN
ejpam-5435	415	21	)	)	PUNCT
ejpam-5435	415	22	cos	cos	ADP
ejpam-5435	415	23	γ	γ	PROPN
ejpam-5435	415	24	+	+	PROPN
ejpam-5435	415	25	2	2	NUM
ejpam-5435	415	26	(	(	PUNCT
ejpam-5435	415	27	1−d	1−d	NUM
ejpam-5435	415	28	)	)	PUNCT
ejpam-5435	415	29	(	(	PUNCT
ejpam-5435	415	30	ψ	ψ	X
ejpam-5435	415	31	∗	∗	X
ejpam-5435	415	32	ϕ	ϕ	NOUN
ejpam-5435	415	33	)	)	PUNCT
ejpam-5435	415	34	(	(	PUNCT
ejpam-5435	415	35	ξ	ξ	X
ejpam-5435	415	36	)	)	PUNCT
ejpam-5435	415	37	≺	≺	NOUN
ejpam-5435	415	38	ϕ	ϕ	X
ejpam-5435	415	39	(	(	PUNCT
ejpam-5435	415	40	ξ	ξ	NOUN
ejpam-5435	415	41	)	)	PUNCT
ejpam-5435	415	42	(	(	PUNCT
ejpam-5435	415	43	35	35	NUM
ejpam-5435	415	44	)	)	PUNCT
ejpam-5435	415	45	and	and	CCONJ
ejpam-5435	415	46	ℜ{ψ	ℜ{ψ	NUM
ejpam-5435	415	47	(	(	PUNCT
ejpam-5435	415	48	ξ	ξ	NOUN
ejpam-5435	415	49	)	)	PUNCT
ejpam-5435	415	50	}	}	PUNCT
ejpam-5435	415	51	>	>	X
ejpam-5435	416	1	−3	−3	PROPN
ejpam-5435	416	2	(	(	PUNCT
ejpam-5435	416	3	c	c	PROPN
ejpam-5435	416	4	−d	−d	PROPN
ejpam-5435	416	5	)	)	PUNCT
ejpam-5435	417	1	cos	cos	ADP
ejpam-5435	417	2	γ	γ	PROPN
ejpam-5435	417	3	+	+	PROPN
ejpam-5435	417	4	2	2	NUM
ejpam-5435	417	5	(	(	PUNCT
ejpam-5435	417	6	1−d	1−d	NUM
ejpam-5435	417	7	)	)	PUNCT
ejpam-5435	417	8	2	2	NUM
ejpam-5435	418	1	[	[	X
ejpam-5435	418	2	1−d	1−d	NUM
ejpam-5435	418	3	+	+	CCONJ
ejpam-5435	418	4	(	(	PUNCT
ejpam-5435	418	5	c	c	PROPN
ejpam-5435	418	6	−d	−d	PROPN
ejpam-5435	418	7	)	)	PUNCT
ejpam-5435	419	1	cos	cos	PROPN
ejpam-5435	419	2	γ	γ	X
ejpam-5435	419	3	]	]	PUNCT
ejpam-5435	419	4	.	.	PUNCT
ejpam-5435	420	1	(	(	PUNCT
ejpam-5435	420	2	36	36	NUM
ejpam-5435	420	3	)	)	PUNCT
ejpam-5435	420	4	the	the	DET
ejpam-5435	420	5	constant	constant	ADJ
ejpam-5435	420	6	factor	factor	NOUN
ejpam-5435	420	7	1−d	1−d	NUM
ejpam-5435	421	1	+	+	CCONJ
ejpam-5435	422	1	(	(	PUNCT
ejpam-5435	422	2	c	c	PROPN
ejpam-5435	422	3	−d	−d	PROPN
ejpam-5435	422	4	)	)	PUNCT
ejpam-5435	423	1	cos	cos	ADP
ejpam-5435	423	2	γ	γ	X
ejpam-5435	423	3	3	3	NUM
ejpam-5435	423	4	(	(	PUNCT
ejpam-5435	423	5	c	c	PROPN
ejpam-5435	423	6	−d	−d	PROPN
ejpam-5435	423	7	)	)	PUNCT
ejpam-5435	423	8	cos	cos	SCONJ
ejpam-5435	423	9	γ	γ	PROPN
ejpam-5435	423	10	+	+	PROPN
ejpam-5435	423	11	2	2	NUM
ejpam-5435	423	12	(	(	PUNCT
ejpam-5435	423	13	1−d	1−d	NUM
ejpam-5435	423	14	)	)	PUNCT
ejpam-5435	423	15	in	in	ADP
ejpam-5435	423	16	(	(	PUNCT
ejpam-5435	423	17	35	35	NUM
ejpam-5435	423	18	)	)	PUNCT
ejpam-5435	423	19	can	can	AUX
ejpam-5435	423	20	not	not	PART
ejpam-5435	423	21	be	be	AUX
ejpam-5435	423	22	replaced	replace	VERB
ejpam-5435	423	23	by	by	ADP
ejpam-5435	423	24	a	a	DET
ejpam-5435	423	25	larger	large	ADJ
ejpam-5435	423	26	number	number	NOUN
ejpam-5435	423	27	.	.	PUNCT
ejpam-5435	424	1	taking	take	VERB
ejpam-5435	424	2	c	c	NOUN
ejpam-5435	424	3	=	=	SYM
ejpam-5435	424	4	1−	1−	NUM
ejpam-5435	424	5	2λ	2λ	NUM
ejpam-5435	424	6	(	(	PUNCT
ejpam-5435	424	7	0	0	NUM
ejpam-5435	424	8	≤	≤	NUM
ejpam-5435	424	9	λ	λ	X
ejpam-5435	424	10	<	<	X
ejpam-5435	424	11	1	1	NUM
ejpam-5435	424	12	)	)	PUNCT
ejpam-5435	424	13	and	and	CCONJ
ejpam-5435	424	14	d	d	NOUN
ejpam-5435	424	15	=	=	SYM
ejpam-5435	424	16	−1	−1	NOUN
ejpam-5435	424	17	in	in	ADP
ejpam-5435	424	18	theorem	theorem	NOUN
ejpam-5435	424	19	5	5	NUM
ejpam-5435	424	20	,	,	PUNCT
ejpam-5435	424	21	we	we	PRON
ejpam-5435	424	22	get	get	VERB
ejpam-5435	424	23	corollary	corollary	ADJ
ejpam-5435	424	24	21	21	NUM
ejpam-5435	424	25	.	.	PUNCT
ejpam-5435	425	1	let	let	AUX
ejpam-5435	425	2	ψ	ψ	X
ejpam-5435	425	3	(	(	PUNCT
ejpam-5435	425	4	ξ	ξ	NOUN
ejpam-5435	425	5	)	)	PUNCT
ejpam-5435	425	6	∈	∈	PROPN
ejpam-5435	425	7	skγ	skγ	NOUN
ejpam-5435	425	8	(	(	PUNCT
ejpam-5435	425	9	α	α	NOUN
ejpam-5435	425	10	,	,	PUNCT
ejpam-5435	425	11	β;λ	β;λ	PUNCT
ejpam-5435	425	12	)	)	PUNCT
ejpam-5435	425	13	satisfy	satisfy	VERB
ejpam-5435	425	14	the	the	DET
ejpam-5435	425	15	coefficient	coefficient	NOUN
ejpam-5435	425	16	inequality	inequality	NOUN
ejpam-5435	425	17	(	(	PUNCT
ejpam-5435	425	18	25	25	NUM
ejpam-5435	425	19	)	)	PUNCT
ejpam-5435	425	20	and	and	CCONJ
ejpam-5435	425	21	let	let	VERB
ejpam-5435	425	22	ϕ	ϕ	X
ejpam-5435	425	23	(	(	PUNCT
ejpam-5435	425	24	ξ	ξ	NOUN
ejpam-5435	425	25	)	)	PUNCT
ejpam-5435	425	26	∈	∈	PROPN
ejpam-5435	425	27	k	k	NOUN
ejpam-5435	425	28	,	,	PUNCT
ejpam-5435	425	29	then	then	ADV
ejpam-5435	425	30	(	(	PUNCT
ejpam-5435	425	31	α+2β	α+2β	PROPN
ejpam-5435	425	32	α+β	α+β	NUM
ejpam-5435	425	33	)	)	PUNCT
ejpam-5435	426	1	[	[	X
ejpam-5435	426	2	1	1	NUM
ejpam-5435	426	3	+	+	CCONJ
ejpam-5435	426	4	(	(	PUNCT
ejpam-5435	426	5	1−	1−	NUM
ejpam-5435	426	6	λ	λ	NOUN
ejpam-5435	426	7	)	)	PUNCT
ejpam-5435	426	8	cos	cos	ADP
ejpam-5435	426	9	γ	γ	X
ejpam-5435	426	10	]	]	X
ejpam-5435	426	11	2	2	NUM
ejpam-5435	426	12	{	{	PUNCT
ejpam-5435	426	13	(	(	PUNCT
ejpam-5435	426	14	1−	1−	NUM
ejpam-5435	426	15	λ	λ	NOUN
ejpam-5435	426	16	)	)	PUNCT
ejpam-5435	426	17	cos	cos	ADP
ejpam-5435	426	18	γ	γ	PROPN
ejpam-5435	426	19	+	+	X
ejpam-5435	426	20	(	(	PUNCT
ejpam-5435	426	21	α+2β	α+2β	PROPN
ejpam-5435	426	22	α+β	α+β	NUM
ejpam-5435	426	23	)	)	PUNCT
ejpam-5435	427	1	[	[	X
ejpam-5435	427	2	1	1	NUM
ejpam-5435	427	3	+	+	CCONJ
ejpam-5435	427	4	(	(	PUNCT
ejpam-5435	427	5	1−	1−	NUM
ejpam-5435	427	6	λ	λ	NOUN
ejpam-5435	427	7	)	)	PUNCT
ejpam-5435	427	8	cos	cos	ADP
ejpam-5435	427	9	γ	γ	X
ejpam-5435	427	10	]	]	X
ejpam-5435	427	11	}	}	PUNCT
ejpam-5435	427	12	(	(	PUNCT
ejpam-5435	427	13	ψ	ψ	X
ejpam-5435	427	14	∗	∗	X
ejpam-5435	427	15	ϕ	ϕ	NOUN
ejpam-5435	427	16	)	)	PUNCT
ejpam-5435	427	17	(	(	PUNCT
ejpam-5435	427	18	ξ	ξ	X
ejpam-5435	427	19	)	)	PUNCT
ejpam-5435	427	20	≺	≺	NOUN
ejpam-5435	427	21	ϕ	ϕ	X
ejpam-5435	427	22	(	(	PUNCT
ejpam-5435	427	23	ξ	ξ	NOUN
ejpam-5435	427	24	)	)	PUNCT
ejpam-5435	427	25	(	(	PUNCT
ejpam-5435	427	26	37	37	NUM
ejpam-5435	427	27	)	)	PUNCT
ejpam-5435	427	28	and	and	CCONJ
ejpam-5435	427	29	ℜ{ψ	ℜ{ψ	NUM
ejpam-5435	427	30	(	(	PUNCT
ejpam-5435	427	31	ξ	ξ	NOUN
ejpam-5435	427	32	)	)	PUNCT
ejpam-5435	427	33	}	}	PUNCT
ejpam-5435	427	34	>	>	X
ejpam-5435	427	35	−	−	PROPN
ejpam-5435	427	36	(	(	PUNCT
ejpam-5435	427	37	1−	1−	NUM
ejpam-5435	427	38	λ	λ	NOUN
ejpam-5435	427	39	)	)	PUNCT
ejpam-5435	427	40	cos	cos	ADP
ejpam-5435	427	41	γ	γ	PROPN
ejpam-5435	427	42	+	+	X
ejpam-5435	427	43	(	(	PUNCT
ejpam-5435	427	44	α+2β	α+2β	PROPN
ejpam-5435	427	45	α+β	α+β	NUM
ejpam-5435	427	46	)	)	PUNCT
ejpam-5435	428	1	[	[	X
ejpam-5435	428	2	1	1	NUM
ejpam-5435	428	3	+	+	CCONJ
ejpam-5435	428	4	(	(	PUNCT
ejpam-5435	428	5	1−	1−	NUM
ejpam-5435	428	6	λ	λ	NOUN
ejpam-5435	428	7	)	)	PUNCT
ejpam-5435	428	8	cos	cos	ADP
ejpam-5435	428	9	γ	γ	X
ejpam-5435	428	10	]	]	X
ejpam-5435	428	11	(	(	PUNCT
ejpam-5435	428	12	α+2β	α+2β	PROPN
ejpam-5435	428	13	α+β	α+β	NUM
ejpam-5435	428	14	)	)	PUNCT
ejpam-5435	429	1	[	[	X
ejpam-5435	429	2	1	1	NUM
ejpam-5435	429	3	+	+	CCONJ
ejpam-5435	429	4	(	(	PUNCT
ejpam-5435	429	5	1−	1−	NUM
ejpam-5435	429	6	λ	λ	NOUN
ejpam-5435	429	7	)	)	PUNCT
ejpam-5435	429	8	cos	cos	ADP
ejpam-5435	429	9	γ	γ	X
ejpam-5435	429	10	]	]	PUNCT
ejpam-5435	429	11	.	.	PUNCT
ejpam-5435	430	1	(	(	PUNCT
ejpam-5435	430	2	38	38	NUM
ejpam-5435	430	3	)	)	PUNCT
ejpam-5435	430	4	the	the	DET
ejpam-5435	430	5	constant	constant	ADJ
ejpam-5435	430	6	factor	factor	NOUN
ejpam-5435	430	7	(	(	PUNCT
ejpam-5435	430	8	α+2β	α+2β	PROPN
ejpam-5435	430	9	α+β	α+β	NUM
ejpam-5435	430	10	)	)	PUNCT
ejpam-5435	431	1	[	[	X
ejpam-5435	431	2	1	1	NUM
ejpam-5435	431	3	+	+	CCONJ
ejpam-5435	431	4	(	(	PUNCT
ejpam-5435	431	5	1−	1−	NUM
ejpam-5435	431	6	λ	λ	NOUN
ejpam-5435	431	7	)	)	PUNCT
ejpam-5435	431	8	cos	cos	ADP
ejpam-5435	431	9	γ	γ	X
ejpam-5435	431	10	]	]	X
ejpam-5435	431	11	2	2	NUM
ejpam-5435	431	12	{	{	PUNCT
ejpam-5435	431	13	(	(	PUNCT
ejpam-5435	431	14	1−	1−	NUM
ejpam-5435	431	15	λ	λ	NOUN
ejpam-5435	431	16	)	)	PUNCT
ejpam-5435	431	17	cos	cos	ADP
ejpam-5435	431	18	γ	γ	PROPN
ejpam-5435	431	19	+	+	X
ejpam-5435	431	20	(	(	PUNCT
ejpam-5435	431	21	α+2β	α+2β	PROPN
ejpam-5435	431	22	α+β	α+β	NUM
ejpam-5435	431	23	)	)	PUNCT
ejpam-5435	432	1	[	[	X
ejpam-5435	432	2	1	1	NUM
ejpam-5435	432	3	+	+	CCONJ
ejpam-5435	432	4	(	(	PUNCT
ejpam-5435	432	5	1−	1−	NUM
ejpam-5435	432	6	λ	λ	NOUN
ejpam-5435	432	7	)	)	PUNCT
ejpam-5435	432	8	cos	cos	ADP
ejpam-5435	432	9	γ	γ	X
ejpam-5435	432	10	]	]	X
ejpam-5435	432	11	}	}	PUNCT
ejpam-5435	432	12	in	in	ADP
ejpam-5435	432	13	(	(	PUNCT
ejpam-5435	432	14	37	37	NUM
ejpam-5435	432	15	)	)	PUNCT
ejpam-5435	432	16	can	can	AUX
ejpam-5435	432	17	not	not	PART
ejpam-5435	432	18	be	be	AUX
ejpam-5435	432	19	replaced	replace	VERB
ejpam-5435	432	20	by	by	ADP
ejpam-5435	432	21	a	a	DET
ejpam-5435	432	22	larger	large	ADJ
ejpam-5435	432	23	number	number	NOUN
ejpam-5435	432	24	.	.	PUNCT
ejpam-5435	433	1	5	5	NUM
ejpam-5435	433	2	.	.	X
ejpam-5435	433	3	fekete	fekete	PROPN
ejpam-5435	433	4	-	-	PUNCT
ejpam-5435	433	5	szegö	szegö	PROPN
ejpam-5435	433	6	problems	problem	NOUN
ejpam-5435	433	7	the	the	DET
ejpam-5435	433	8	fekete	fekete	PROPN
ejpam-5435	433	9	-	-	PUNCT
ejpam-5435	433	10	szegö	szegö	ADJ
ejpam-5435	433	11	problem	problem	NOUN
ejpam-5435	433	12	consists	consist	VERB
ejpam-5435	433	13	in	in	ADP
ejpam-5435	433	14	finding	find	VERB
ejpam-5435	433	15	upper	upper	ADJ
ejpam-5435	433	16	-	-	PUNCT
ejpam-5435	433	17	bounds	bound	NOUN
ejpam-5435	433	18	for	for	ADP
ejpam-5435	433	19	∣∣ρ3	∣∣ρ3	VERB
ejpam-5435	433	20	−	−	PROPN
ejpam-5435	434	1	µρ22	µρ22	PROPN
ejpam-5435	434	2	∣∣	∣∣	NUM
ejpam-5435	434	3	for	for	ADP
ejpam-5435	434	4	various	various	ADJ
ejpam-5435	434	5	subfamilies	subfamily	NOUN
ejpam-5435	434	6	of	of	ADP
ejpam-5435	434	7	analytic	analytic	ADJ
ejpam-5435	434	8	functions	function	NOUN
ejpam-5435	434	9	(	(	PUNCT
ejpam-5435	434	10	see	see	VERB
ejpam-5435	434	11	[	[	X
ejpam-5435	434	12	3	3	NUM
ejpam-5435	434	13	]	]	PUNCT
ejpam-5435	434	14	,	,	PUNCT
ejpam-5435	434	15	[	[	X
ejpam-5435	434	16	16	16	NUM
ejpam-5435	434	17	]	]	PUNCT
ejpam-5435	434	18	,	,	PUNCT
ejpam-5435	434	19	[	[	X
ejpam-5435	434	20	18	18	NUM
ejpam-5435	434	21	]	]	PUNCT
ejpam-5435	434	22	and	and	CCONJ
ejpam-5435	434	23	[	[	X
ejpam-5435	434	24	22	22	NUM
ejpam-5435	434	25	]	]	PUNCT
ejpam-5435	434	26	)	)	PUNCT
ejpam-5435	434	27	.	.	PUNCT
ejpam-5435	435	1	in	in	ADP
ejpam-5435	435	2	order	order	NOUN
ejpam-5435	435	3	to	to	PART
ejpam-5435	435	4	get	get	VERB
ejpam-5435	435	5	upper	upper	ADJ
ejpam-5435	435	6	-	-	PUNCT
ejpam-5435	435	7	bounds	bound	NOUN
ejpam-5435	435	8	for	for	ADP
ejpam-5435	435	9	∣∣ρ3	∣∣ρ3	VERB
ejpam-5435	435	10	−	−	PROPN
ejpam-5435	435	11	µρ22	µρ22	PROPN
ejpam-5435	435	12	∣∣	∣∣	NUM
ejpam-5435	435	13	for	for	ADP
ejpam-5435	435	14	the	the	DET
ejpam-5435	435	15	subfamily	subfamily	NOUN
ejpam-5435	435	16	skγ	skγ	PROPN
ejpam-5435	435	17	[	[	X
ejpam-5435	435	18	α	α	X
ejpam-5435	435	19	,	,	PUNCT
ejpam-5435	435	20	β;c	β;c	PRON
ejpam-5435	435	21	,	,	PUNCT
ejpam-5435	435	22	d	d	X
ejpam-5435	435	23	]	]	X
ejpam-5435	435	24	the	the	DET
ejpam-5435	435	25	next	next	ADJ
ejpam-5435	435	26	lemma	lemma	PROPN
ejpam-5435	435	27	is	be	AUX
ejpam-5435	435	28	required	require	VERB
ejpam-5435	435	29	.	.	PUNCT
ejpam-5435	436	1	lemma	lemma	PROPN
ejpam-5435	436	2	2	2	NUM
ejpam-5435	436	3	.	.	PUNCT
ejpam-5435	437	1	[	[	X
ejpam-5435	437	2	14	14	NUM
ejpam-5435	437	3	,	,	PUNCT
ejpam-5435	437	4	p.108]let	p.108]let	PROPN
ejpam-5435	437	5	ω	ω	PROPN
ejpam-5435	437	6	∈	∈	PROPN
ejpam-5435	437	7	ω	ω	PROPN
ejpam-5435	437	8	be	be	AUX
ejpam-5435	437	9	given	give	VERB
ejpam-5435	437	10	by	by	ADP
ejpam-5435	437	11	ω	ω	PROPN
ejpam-5435	437	12	(	(	PUNCT
ejpam-5435	437	13	ξ	ξ	NOUN
ejpam-5435	437	14	)	)	PUNCT
ejpam-5435	437	15	=	=	NOUN
ejpam-5435	438	1	∞∑	∞∑	NUM
ejpam-5435	438	2	j=1	j=1	NOUN
ejpam-5435	438	3	ωj	ωj	ADP
ejpam-5435	438	4	ξ	ξ	PROPN
ejpam-5435	438	5	j	j	X
ejpam-5435	438	6	(	(	PUNCT
ejpam-5435	438	7	ξ	ξ	PROPN
ejpam-5435	438	8	∈	∈	PROPN
ejpam-5435	438	9	u	u	NOUN
ejpam-5435	438	10	)	)	PUNCT
ejpam-5435	438	11	.	.	PUNCT
ejpam-5435	439	1	t.	t.	PROPN
ejpam-5435	439	2	m.	m.	PROPN
ejpam-5435	439	3	seoudy	seoudy	PROPN
ejpam-5435	439	4	/	/	SYM
ejpam-5435	439	5	eur	eur	PROPN
ejpam-5435	439	6	.	.	PUNCT
ejpam-5435	440	1	j.	j.	PROPN
ejpam-5435	440	2	pure	pure	PROPN
ejpam-5435	440	3	appl	appl	PROPN
ejpam-5435	440	4	.	.	PROPN
ejpam-5435	440	5	math	math	PROPN
ejpam-5435	440	6	,	,	PUNCT
ejpam-5435	440	7	17	17	NUM
ejpam-5435	440	8	(	(	PUNCT
ejpam-5435	440	9	4	4	NUM
ejpam-5435	440	10	)	)	PUNCT
ejpam-5435	440	11	(	(	PUNCT
ejpam-5435	440	12	2024	2024	NUM
ejpam-5435	440	13	)	)	PUNCT
ejpam-5435	440	14	,	,	PUNCT
ejpam-5435	440	15	3336	3336	NUM
ejpam-5435	440	16	-	-	SYM
ejpam-5435	440	17	3355	3355	NUM
ejpam-5435	440	18	3350	3350	NUM
ejpam-5435	440	19	then	then	ADV
ejpam-5435	440	20	|ω1|	|ω1|	VERB
ejpam-5435	440	21	≤	≤	NOUN
ejpam-5435	440	22	1	1	NUM
ejpam-5435	440	23	,	,	PUNCT
ejpam-5435	440	24	|ω2|	|ω2|	VERB
ejpam-5435	440	25	≤	≤	NOUN
ejpam-5435	441	1	1−	1−	NUM
ejpam-5435	442	1	|ω1|2	|ω1|2	PUNCT
ejpam-5435	442	2	,	,	PUNCT
ejpam-5435	442	3	(	(	PUNCT
ejpam-5435	442	4	39	39	NUM
ejpam-5435	442	5	)	)	PUNCT
ejpam-5435	442	6	and	and	CCONJ
ejpam-5435	442	7	∣∣ω2	∣∣ω2	PRON
ejpam-5435	442	8	−	−	NOUN
ejpam-5435	442	9	ν	ν	NOUN
ejpam-5435	442	10	ω2	ω2	ADJ
ejpam-5435	442	11	1	1	NUM
ejpam-5435	442	12	∣∣	∣∣	PROPN
ejpam-5435	442	13	≤	≤	PROPN
ejpam-5435	442	14	max	max	PROPN
ejpam-5435	442	15	{	{	PUNCT
ejpam-5435	442	16	1	1	NUM
ejpam-5435	442	17	,	,	PUNCT
ejpam-5435	442	18	|ν|	|ν|	ADV
ejpam-5435	442	19	}	}	PUNCT
ejpam-5435	442	20	,	,	PUNCT
ejpam-5435	442	21	(	(	PUNCT
ejpam-5435	442	22	40	40	NUM
ejpam-5435	442	23	)	)	PUNCT
ejpam-5435	442	24	for	for	ADP
ejpam-5435	442	25	any	any	DET
ejpam-5435	442	26	complex	complex	ADJ
ejpam-5435	442	27	number	number	NOUN
ejpam-5435	442	28	ν	ν	ADP
ejpam-5435	442	29	∈	∈	PROPN
ejpam-5435	442	30	c.	c.	NOUN
ejpam-5435	442	31	the	the	DET
ejpam-5435	442	32	functions	function	NOUN
ejpam-5435	442	33	ω(ξ	ω(ξ	NUM
ejpam-5435	442	34	)	)	PUNCT
ejpam-5435	442	35	=	=	SYM
ejpam-5435	442	36	ξ	ξ	PROPN
ejpam-5435	442	37	and	and	CCONJ
ejpam-5435	442	38	ω(ξ	ω(ξ	NUM
ejpam-5435	442	39	)	)	PUNCT
ejpam-5435	442	40	=	=	PRON
ejpam-5435	443	1	ξ2or	ξ2or	VERB
ejpam-5435	444	1	one	one	NUM
ejpam-5435	444	2	of	of	ADP
ejpam-5435	444	3	their	their	PRON
ejpam-5435	444	4	rotations	rotation	NOUN
ejpam-5435	444	5	show	show	VERB
ejpam-5435	444	6	that	that	SCONJ
ejpam-5435	444	7	both	both	DET
ejpam-5435	444	8	inequalities	inequality	NOUN
ejpam-5435	444	9	(	(	PUNCT
ejpam-5435	444	10	39	39	NUM
ejpam-5435	444	11	)	)	PUNCT
ejpam-5435	444	12	and	and	CCONJ
ejpam-5435	444	13	(	(	PUNCT
ejpam-5435	444	14	40	40	NUM
ejpam-5435	444	15	)	)	PUNCT
ejpam-5435	444	16	are	be	AUX
ejpam-5435	444	17	sharp	sharp	ADJ
ejpam-5435	444	18	.	.	PUNCT
ejpam-5435	445	1	first	first	ADV
ejpam-5435	445	2	we	we	PRON
ejpam-5435	445	3	obtain	obtain	VERB
ejpam-5435	445	4	upper	upper	ADJ
ejpam-5435	445	5	-	-	PUNCT
ejpam-5435	445	6	bounds	bound	NOUN
ejpam-5435	445	7	for	for	ADP
ejpam-5435	445	8	∣∣ρ3	∣∣ρ3	VERB
ejpam-5435	446	1	−	−	PROPN
ejpam-5435	446	2	µρ22	µρ22	PROPN
ejpam-5435	446	3	∣∣	∣∣	NUM
ejpam-5435	446	4	with	with	ADP
ejpam-5435	446	5	µ	µ	PROPN
ejpam-5435	446	6	∈	∈	PROPN
ejpam-5435	446	7	r.	r.	PROPN
ejpam-5435	446	8	theorem	theorem	NOUN
ejpam-5435	446	9	6	6	NUM
ejpam-5435	446	10	.	.	PUNCT
ejpam-5435	447	1	let	let	VERB
ejpam-5435	447	2	ψ	ψ	X
ejpam-5435	447	3	(	(	PUNCT
ejpam-5435	447	4	ξ	ξ	NOUN
ejpam-5435	447	5	)	)	PUNCT
ejpam-5435	447	6	∈	∈	PROPN
ejpam-5435	448	1	skγ	skγ	PUNCT
ejpam-5435	449	1	[	[	X
ejpam-5435	449	2	α	α	X
ejpam-5435	449	3	,	,	PUNCT
ejpam-5435	449	4	β;c	β;c	PRON
ejpam-5435	449	5	,	,	PUNCT
ejpam-5435	449	6	d	d	X
ejpam-5435	449	7	]	]	PUNCT
ejpam-5435	449	8	and	and	CCONJ
ejpam-5435	449	9	let	let	VERB
ejpam-5435	449	10	µ	µ	PRON
ejpam-5435	449	11	∈	∈	PROPN
ejpam-5435	449	12	r.	r.	NOUN
ejpam-5435	449	13	then	then	ADV
ejpam-5435	449	14	∣∣ρ3	∣∣ρ3	VERB
ejpam-5435	449	15	−	−	PROPN
ejpam-5435	449	16	µρ22	µρ22	PROPN
ejpam-5435	449	17	∣∣	∣∣	NUM
ejpam-5435	449	18	≤	≤	NUM
ejpam-5435	449	19			NUM
ejpam-5435	449	20	(	(	PUNCT
ejpam-5435	449	21	α+β)(c−d	α+β)(c−d	PROPN
ejpam-5435	449	22	)	)	PUNCT
ejpam-5435	449	23	cos	cos	ADP
ejpam-5435	449	24	γ	γ	PROPN
ejpam-5435	449	25	2(α+3β	2(α+3β	NUM
ejpam-5435	449	26	)	)	PUNCT
ejpam-5435	450	1	[	[	PUNCT
ejpam-5435	450	2	−d	−d	X
ejpam-5435	450	3	+	+	CCONJ
ejpam-5435	450	4	(	(	PUNCT
ejpam-5435	450	5	c	c	PROPN
ejpam-5435	450	6	−d	−d	PROPN
ejpam-5435	450	7	)	)	PUNCT
ejpam-5435	450	8	(	(	PUNCT
ejpam-5435	450	9	1−	1−	NUM
ejpam-5435	450	10	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	450	11	)	)	PUNCT
ejpam-5435	450	12	(	(	PUNCT
ejpam-5435	450	13	α+2β)2	α+2β)2	NOUN
ejpam-5435	450	14	)	)	PUNCT
ejpam-5435	450	15	]	]	PUNCT
ejpam-5435	450	16	(	(	PUNCT
ejpam-5435	450	17	µ	µ	X
ejpam-5435	450	18	≤	≤	NUM
ejpam-5435	450	19	ϑ1	ϑ1	NOUN
ejpam-5435	450	20	)	)	PUNCT
ejpam-5435	450	21	(	(	PUNCT
ejpam-5435	450	22	α+β)(c−d	α+β)(c−d	X
ejpam-5435	450	23	)	)	PUNCT
ejpam-5435	450	24	cos	cos	ADP
ejpam-5435	450	25	γ	γ	X
ejpam-5435	450	26	2(α+3β	2(α+3β	NUM
ejpam-5435	450	27	)	)	PUNCT
ejpam-5435	450	28	(	(	PUNCT
ejpam-5435	450	29	ϑ1	ϑ1	NOUN
ejpam-5435	450	30	≤	≤	PROPN
ejpam-5435	450	31	µ	µ	PRON
ejpam-5435	450	32	≤	≤	NUM
ejpam-5435	450	33	ϑ2	ϑ2	NOUN
ejpam-5435	450	34	)	)	PUNCT
ejpam-5435	450	35	(	(	PUNCT
ejpam-5435	450	36	α+β)(c−d	α+β)(c−d	X
ejpam-5435	450	37	)	)	PUNCT
ejpam-5435	450	38	cos	cos	ADP
ejpam-5435	450	39	γ	γ	X
ejpam-5435	450	40	2(α+3β	2(α+3β	NUM
ejpam-5435	450	41	)	)	PUNCT
ejpam-5435	451	1	[	[	PUNCT
ejpam-5435	451	2	d	d	X
ejpam-5435	451	3	−	−	PROPN
ejpam-5435	451	4	(	(	PUNCT
ejpam-5435	451	5	c	c	PROPN
ejpam-5435	451	6	−d	−d	PROPN
ejpam-5435	451	7	)	)	PUNCT
ejpam-5435	451	8	(	(	PUNCT
ejpam-5435	451	9	1−	1−	NUM
ejpam-5435	451	10	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	451	11	)	)	PUNCT
ejpam-5435	451	12	(	(	PUNCT
ejpam-5435	451	13	α+2β)2	α+2β)2	NOUN
ejpam-5435	451	14	)	)	PUNCT
ejpam-5435	451	15	]	]	PUNCT
ejpam-5435	451	16	(	(	PUNCT
ejpam-5435	451	17	µ	µ	X
ejpam-5435	451	18	≥	≥	NOUN
ejpam-5435	451	19	ϑ2	ϑ2	NOUN
ejpam-5435	451	20	)	)	PUNCT
ejpam-5435	451	21	(	(	PUNCT
ejpam-5435	451	22	41	41	NUM
ejpam-5435	451	23	)	)	PUNCT
ejpam-5435	451	24	where	where	SCONJ
ejpam-5435	451	25	ϑ1	ϑ1	NOUN
ejpam-5435	451	26	=	=	SYM
ejpam-5435	451	27	(	(	PUNCT
ejpam-5435	451	28	α+	α+	X
ejpam-5435	451	29	2β)2	2β)2	NUM
ejpam-5435	451	30	(	(	PUNCT
ejpam-5435	451	31	c	c	NOUN
ejpam-5435	451	32	−	−	PROPN
ejpam-5435	451	33	2d	2d	NOUN
ejpam-5435	451	34	−	−	NOUN
ejpam-5435	451	35	1	1	NUM
ejpam-5435	451	36	)	)	SYM
ejpam-5435	451	37	2	2	NUM
ejpam-5435	451	38	(	(	PUNCT
ejpam-5435	451	39	α+	α+	X
ejpam-5435	451	40	β	β	X
ejpam-5435	451	41	)	)	PUNCT
ejpam-5435	451	42	(	(	PUNCT
ejpam-5435	451	43	α+	α+	NOUN
ejpam-5435	451	44	3β	3β	NOUN
ejpam-5435	451	45	)	)	PUNCT
ejpam-5435	451	46	(	(	PUNCT
ejpam-5435	451	47	c	c	PROPN
ejpam-5435	451	48	−d	−d	PROPN
ejpam-5435	451	49	)	)	PUNCT
ejpam-5435	451	50	(	(	PUNCT
ejpam-5435	451	51	42	42	NUM
ejpam-5435	451	52	)	)	PUNCT
ejpam-5435	451	53	ϑ2	ϑ2	NOUN
ejpam-5435	451	54	=	=	SYM
ejpam-5435	451	55	(	(	PUNCT
ejpam-5435	451	56	α+	α+	X
ejpam-5435	451	57	2β)2	2β)2	NUM
ejpam-5435	451	58	(	(	PUNCT
ejpam-5435	451	59	c	c	NOUN
ejpam-5435	451	60	−	−	PROPN
ejpam-5435	451	61	2d	2d	NOUN
ejpam-5435	451	62	+	+	CCONJ
ejpam-5435	451	63	1	1	NUM
ejpam-5435	451	64	)	)	SYM
ejpam-5435	451	65	2	2	NUM
ejpam-5435	451	66	(	(	PUNCT
ejpam-5435	451	67	α+	α+	X
ejpam-5435	451	68	β	β	X
ejpam-5435	451	69	)	)	PUNCT
ejpam-5435	451	70	(	(	PUNCT
ejpam-5435	451	71	α+	α+	NOUN
ejpam-5435	451	72	3β	3β	NOUN
ejpam-5435	451	73	)	)	PUNCT
ejpam-5435	451	74	(	(	PUNCT
ejpam-5435	451	75	c	c	PROPN
ejpam-5435	451	76	−d	−d	PROPN
ejpam-5435	451	77	)	)	PUNCT
ejpam-5435	451	78	.	.	PUNCT
ejpam-5435	452	1	(	(	PUNCT
ejpam-5435	452	2	43	43	NUM
ejpam-5435	452	3	)	)	PUNCT
ejpam-5435	452	4	proof	proof	NOUN
ejpam-5435	452	5	.	.	PUNCT
ejpam-5435	453	1	suppose	suppose	VERB
ejpam-5435	453	2	that	that	SCONJ
ejpam-5435	453	3	ψ	ψ	X
ejpam-5435	453	4	(	(	PUNCT
ejpam-5435	453	5	ξ	ξ	NOUN
ejpam-5435	453	6	)	)	PUNCT
ejpam-5435	453	7	is	be	AUX
ejpam-5435	453	8	in	in	ADP
ejpam-5435	453	9	skγ	skγ	PROPN
ejpam-5435	453	10	[	[	X
ejpam-5435	453	11	α	α	X
ejpam-5435	453	12	,	,	PUNCT
ejpam-5435	453	13	β;c	β;c	PRON
ejpam-5435	453	14	,	,	PUNCT
ejpam-5435	453	15	d	d	X
ejpam-5435	453	16	]	]	X
ejpam-5435	453	17	.	.	PUNCT
ejpam-5435	454	1	then	then	ADV
ejpam-5435	454	2	,	,	PUNCT
ejpam-5435	454	3	from	from	ADP
ejpam-5435	454	4	the	the	DET
ejpam-5435	454	5	definition	definition	NOUN
ejpam-5435	454	6	of	of	ADP
ejpam-5435	454	7	the	the	DET
ejpam-5435	454	8	subclass	subclass	NOUN
ejpam-5435	454	9	skγ	skγ	PROPN
ejpam-5435	455	1	[	[	X
ejpam-5435	455	2	α	α	X
ejpam-5435	455	3	,	,	PUNCT
ejpam-5435	455	4	β;c	β;c	PRON
ejpam-5435	455	5	,	,	PUNCT
ejpam-5435	455	6	d	d	X
ejpam-5435	455	7	]	]	X
ejpam-5435	455	8	,	,	PUNCT
ejpam-5435	455	9	there	there	PRON
ejpam-5435	455	10	exists	exist	VERB
ejpam-5435	455	11	ω	ω	X
ejpam-5435	455	12	(	(	PUNCT
ejpam-5435	455	13	ξ	ξ	NOUN
ejpam-5435	455	14	)	)	PUNCT
ejpam-5435	455	15	=	=	SYM
ejpam-5435	455	16	ω1ξ	ω1ξ	PROPN
ejpam-5435	456	1	+	+	CCONJ
ejpam-5435	456	2	ω2ξ	ω2ξ	NUM
ejpam-5435	456	3	2	2	NUM
ejpam-5435	456	4	+	+	CCONJ
ejpam-5435	456	5	ω3ξ	ω3ξ	PROPN
ejpam-5435	456	6	3	3	NUM
ejpam-5435	456	7	+	+	CCONJ
ejpam-5435	456	8	...	...	PUNCT
ejpam-5435	457	1	∈	∈	PROPN
ejpam-5435	457	2	ω	ω	NUM
ejpam-5435	457	3	such	such	ADJ
ejpam-5435	457	4	that	that	DET
ejpam-5435	457	5	eiγ	eiγ	NOUN
ejpam-5435	457	6	[	[	PUNCT
ejpam-5435	457	7	(	(	PUNCT
ejpam-5435	457	8	α+	α+	X
ejpam-5435	457	9	β	β	NOUN
ejpam-5435	457	10	)	)	PUNCT
ejpam-5435	457	11	ξψ′	ξψ′	PROPN
ejpam-5435	457	12	(	(	PUNCT
ejpam-5435	457	13	ξ	ξ	NOUN
ejpam-5435	457	14	)	)	PUNCT
ejpam-5435	458	1	+	+	NUM
ejpam-5435	458	2	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	458	3	(	(	PUNCT
ejpam-5435	458	4	ξ	ξ	X
ejpam-5435	458	5	)	)	PUNCT
ejpam-5435	458	6	αψ	αψ	PROPN
ejpam-5435	458	7	(	(	PUNCT
ejpam-5435	458	8	ξ	ξ	NOUN
ejpam-5435	458	9	)	)	PUNCT
ejpam-5435	458	10	+	+	CCONJ
ejpam-5435	458	11	βξψ′	βξψ′	NUM
ejpam-5435	458	12	(	(	PUNCT
ejpam-5435	458	13	ξ	ξ	NOUN
ejpam-5435	458	14	)	)	PUNCT
ejpam-5435	458	15	]	]	PUNCT
ejpam-5435	459	1	=	=	PUNCT
ejpam-5435	459	2	cos	cos	ADP
ejpam-5435	459	3	γ	γ	X
ejpam-5435	459	4	(	(	PUNCT
ejpam-5435	459	5	1	1	NUM
ejpam-5435	459	6	+	+	CCONJ
ejpam-5435	459	7	cω	cω	ADJ
ejpam-5435	459	8	(	(	PUNCT
ejpam-5435	459	9	ξ	ξ	NOUN
ejpam-5435	459	10	)	)	PUNCT
ejpam-5435	459	11	1	1	NUM
ejpam-5435	460	1	+	+	ADP
ejpam-5435	460	2	dω	dω	ADJ
ejpam-5435	460	3	(	(	PUNCT
ejpam-5435	460	4	ξ	ξ	NOUN
ejpam-5435	460	5	)	)	PUNCT
ejpam-5435	460	6	)	)	PUNCT
ejpam-5435	461	1	+	+	CCONJ
ejpam-5435	461	2	i	i	PRON
ejpam-5435	461	3	sin	sin	VERB
ejpam-5435	461	4	γ	γ	X
ejpam-5435	461	5	(	(	PUNCT
ejpam-5435	461	6	ξ	ξ	PROPN
ejpam-5435	461	7	∈	∈	PROPN
ejpam-5435	461	8	u	u	NOUN
ejpam-5435	461	9	)	)	PUNCT
ejpam-5435	461	10	.	.	PUNCT
ejpam-5435	462	1	(	(	PUNCT
ejpam-5435	462	2	44	44	NUM
ejpam-5435	462	3	)	)	PUNCT
ejpam-5435	462	4	we	we	PRON
ejpam-5435	462	5	have	have	AUX
ejpam-5435	462	6	eiγ	eiγ	VERB
ejpam-5435	462	7	[	[	PUNCT
ejpam-5435	462	8	(	(	PUNCT
ejpam-5435	462	9	α+	α+	X
ejpam-5435	462	10	β	β	NOUN
ejpam-5435	462	11	)	)	PUNCT
ejpam-5435	462	12	ξψ′	ξψ′	PROPN
ejpam-5435	462	13	(	(	PUNCT
ejpam-5435	462	14	ξ	ξ	NOUN
ejpam-5435	462	15	)	)	PUNCT
ejpam-5435	462	16	+	+	NUM
ejpam-5435	462	17	βξ2ψ′′	βξ2ψ′′	SYM
ejpam-5435	462	18	(	(	PUNCT
ejpam-5435	462	19	ξ	ξ	X
ejpam-5435	462	20	)	)	PUNCT
ejpam-5435	462	21	αψ	αψ	PROPN
ejpam-5435	462	22	(	(	PUNCT
ejpam-5435	462	23	ξ	ξ	NOUN
ejpam-5435	462	24	)	)	PUNCT
ejpam-5435	462	25	+	+	CCONJ
ejpam-5435	462	26	βξψ′	βξψ′	NUM
ejpam-5435	462	27	(	(	PUNCT
ejpam-5435	462	28	ξ	ξ	NOUN
ejpam-5435	462	29	)	)	PUNCT
ejpam-5435	462	30	]	]	PUNCT
ejpam-5435	463	1	=	=	PUNCT
ejpam-5435	463	2	eiγ	eiγ	NOUN
ejpam-5435	463	3	+	+	NUM
ejpam-5435	463	4	eiγ	eiγ	NOUN
ejpam-5435	463	5	(	(	PUNCT
ejpam-5435	463	6	α+	α+	PRON
ejpam-5435	463	7	2β	2β	NOUN
ejpam-5435	463	8	α+	α+	X
ejpam-5435	463	9	β	β	NOUN
ejpam-5435	463	10	)	)	PUNCT
ejpam-5435	463	11	ρ2ξ	ρ2ξ	PROPN
ejpam-5435	464	1	+	+	NOUN
ejpam-5435	464	2	eiγ	eiγ	PROPN
ejpam-5435	464	3	[	[	PUNCT
ejpam-5435	464	4	2	2	NUM
ejpam-5435	464	5	(	(	PUNCT
ejpam-5435	464	6	α+	α+	NOUN
ejpam-5435	464	7	3β	3β	NOUN
ejpam-5435	464	8	)	)	PUNCT
ejpam-5435	465	1	α+	α+	PRON
ejpam-5435	465	2	β	β	X
ejpam-5435	465	3	ρ3	ρ3	NOUN
ejpam-5435	465	4	−	−	PROPN
ejpam-5435	465	5	(	(	PUNCT
ejpam-5435	465	6	α+	α+	X
ejpam-5435	465	7	2β)2	2β)2	NUM
ejpam-5435	465	8	(	(	PUNCT
ejpam-5435	465	9	α+	α+	X
ejpam-5435	465	10	β)2	β)2	X
ejpam-5435	465	11	ρ22	ρ22	NOUN
ejpam-5435	465	12	]	]	PUNCT
ejpam-5435	465	13	ξ2	ξ2	NOUN
ejpam-5435	465	14	+	+	CCONJ
ejpam-5435	465	15	....	....	PUNCT
ejpam-5435	465	16	.	.	PUNCT
ejpam-5435	466	1	(	(	PUNCT
ejpam-5435	466	2	45	45	NUM
ejpam-5435	466	3	)	)	PUNCT
ejpam-5435	466	4	and	and	CCONJ
ejpam-5435	466	5	cos	cos	ADP
ejpam-5435	466	6	γ	γ	X
ejpam-5435	466	7	(	(	PUNCT
ejpam-5435	466	8	1+cω(ξ	1+cω(ξ	NUM
ejpam-5435	466	9	)	)	PUNCT
ejpam-5435	466	10	1+dω(ξ	1+dω(ξ	NUM
ejpam-5435	466	11	)	)	PUNCT
ejpam-5435	466	12	)	)	PUNCT
ejpam-5435	467	1	+	+	ADV
ejpam-5435	467	2	i	i	PRON
ejpam-5435	467	3	sin	sin	VERB
ejpam-5435	467	4	γ	γ	X
ejpam-5435	467	5	=	=	PROPN
ejpam-5435	467	6	eiγ+(c	eiγ+(c	PROPN
ejpam-5435	467	7	−d	−d	PROPN
ejpam-5435	467	8	)	)	PUNCT
ejpam-5435	467	9	cos	cos	PROPN
ejpam-5435	467	10	γω1ξ+(c	γω1ξ+(c	PROPN
ejpam-5435	467	11	−d	−d	PROPN
ejpam-5435	467	12	)	)	PUNCT
ejpam-5435	467	13	cos	cos	ADP
ejpam-5435	467	14	γ	γ	X
ejpam-5435	467	15	(	(	PUNCT
ejpam-5435	467	16	ω2	ω2	ADJ
ejpam-5435	467	17	−dω2	−dω2	PROPN
ejpam-5435	467	18	1	1	X
ejpam-5435	467	19	)	)	PUNCT
ejpam-5435	467	20	ξ2	ξ2	NOUN
ejpam-5435	467	21	+	+	PROPN
ejpam-5435	467	22	...	...	PUNCT
ejpam-5435	467	23	.	.	PUNCT
ejpam-5435	468	1	(	(	PUNCT
ejpam-5435	468	2	46	46	NUM
ejpam-5435	468	3	)	)	PUNCT
ejpam-5435	468	4	by	by	ADP
ejpam-5435	468	5	using	use	VERB
ejpam-5435	468	6	(	(	PUNCT
ejpam-5435	468	7	45	45	NUM
ejpam-5435	468	8	)	)	PUNCT
ejpam-5435	468	9	and	and	CCONJ
ejpam-5435	468	10	(	(	PUNCT
ejpam-5435	468	11	46	46	NUM
ejpam-5435	468	12	)	)	PUNCT
ejpam-5435	468	13	,	,	PUNCT
ejpam-5435	468	14	equating	equate	VERB
ejpam-5435	468	15	the	the	DET
ejpam-5435	468	16	coefficients	coefficient	NOUN
ejpam-5435	468	17	of	of	ADP
ejpam-5435	468	18	ξ	ξ	PROPN
ejpam-5435	468	19	and	and	CCONJ
ejpam-5435	468	20	ξ2	ξ2	NOUN
ejpam-5435	468	21	on	on	ADP
ejpam-5435	468	22	both	both	DET
ejpam-5435	468	23	sides	side	NOUN
ejpam-5435	468	24	of	of	ADP
ejpam-5435	468	25	(	(	PUNCT
ejpam-5435	468	26	44	44	NUM
ejpam-5435	468	27	)	)	PUNCT
ejpam-5435	468	28	,	,	PUNCT
ejpam-5435	468	29	we	we	PRON
ejpam-5435	468	30	have	have	VERB
ejpam-5435	468	31	ρ2	ρ2	NOUN
ejpam-5435	468	32	=	=	SYM
ejpam-5435	468	33	(	(	PUNCT
ejpam-5435	468	34	α+	α+	X
ejpam-5435	468	35	β	β	X
ejpam-5435	468	36	)	)	PUNCT
ejpam-5435	468	37	(	(	PUNCT
ejpam-5435	468	38	c	c	PROPN
ejpam-5435	468	39	−d	−d	PROPN
ejpam-5435	468	40	)	)	PUNCT
ejpam-5435	468	41	e−iγ	e−iγ	PROPN
ejpam-5435	468	42	cos	cos	PROPN
ejpam-5435	468	43	γ	γ	X
ejpam-5435	468	44	α+	α+	PUNCT
ejpam-5435	468	45	2β	2β	PROPN
ejpam-5435	468	46	ω1	ω1	PROPN
ejpam-5435	468	47	(	(	PUNCT
ejpam-5435	468	48	47	47	NUM
ejpam-5435	468	49	)	)	PUNCT
ejpam-5435	468	50	t.	t.	NOUN
ejpam-5435	468	51	m.	m.	NOUN
ejpam-5435	468	52	seoudy	seoudy	PROPN
ejpam-5435	468	53	/	/	SYM
ejpam-5435	468	54	eur	eur	PROPN
ejpam-5435	468	55	.	.	PUNCT
ejpam-5435	469	1	j.	j.	PROPN
ejpam-5435	469	2	pure	pure	PROPN
ejpam-5435	469	3	appl	appl	PROPN
ejpam-5435	469	4	.	.	PROPN
ejpam-5435	469	5	math	math	PROPN
ejpam-5435	469	6	,	,	PUNCT
ejpam-5435	469	7	17	17	NUM
ejpam-5435	469	8	(	(	PUNCT
ejpam-5435	469	9	4	4	NUM
ejpam-5435	469	10	)	)	PUNCT
ejpam-5435	469	11	(	(	PUNCT
ejpam-5435	469	12	2024	2024	NUM
ejpam-5435	469	13	)	)	PUNCT
ejpam-5435	469	14	,	,	PUNCT
ejpam-5435	469	15	3336	3336	NUM
ejpam-5435	469	16	-	-	SYM
ejpam-5435	469	17	3355	3355	NUM
ejpam-5435	469	18	3351	3351	NUM
ejpam-5435	469	19	and	and	CCONJ
ejpam-5435	469	20	ρ3	ρ3	NOUN
ejpam-5435	469	21	=	=	PUNCT
ejpam-5435	469	22	(	(	PUNCT
ejpam-5435	469	23	α+	α+	X
ejpam-5435	469	24	β	β	X
ejpam-5435	469	25	)	)	PUNCT
ejpam-5435	469	26	(	(	PUNCT
ejpam-5435	469	27	c	c	PROPN
ejpam-5435	469	28	−d	−d	PROPN
ejpam-5435	469	29	)	)	PUNCT
ejpam-5435	469	30	e−iγ	e−iγ	PROPN
ejpam-5435	469	31	cos	cos	PROPN
ejpam-5435	469	32	γ	γ	X
ejpam-5435	469	33	2	2	NUM
ejpam-5435	469	34	(	(	PUNCT
ejpam-5435	469	35	α+	α+	NOUN
ejpam-5435	469	36	3β	3β	NOUN
ejpam-5435	469	37	)	)	PUNCT
ejpam-5435	469	38	[	[	PUNCT
ejpam-5435	469	39	ω2	ω2	NOUN
ejpam-5435	469	40	+	+	CCONJ
ejpam-5435	469	41	(	(	PUNCT
ejpam-5435	469	42	−d	−d	VERB
ejpam-5435	469	43	+	+	CCONJ
ejpam-5435	469	44	(	(	PUNCT
ejpam-5435	469	45	c	c	PROPN
ejpam-5435	469	46	−d	−d	PROPN
ejpam-5435	469	47	)	)	PUNCT
ejpam-5435	469	48	e−iγ	e−iγ	PROPN
ejpam-5435	469	49	cos	cos	PROPN
ejpam-5435	469	50	γ	γ	PROPN
ejpam-5435	469	51	)	)	PUNCT
ejpam-5435	469	52	ω2	ω2	CCONJ
ejpam-5435	469	53	1	1	NUM
ejpam-5435	469	54	]	]	PUNCT
ejpam-5435	469	55	.	.	PUNCT
ejpam-5435	470	1	(	(	PUNCT
ejpam-5435	470	2	48	48	NUM
ejpam-5435	470	3	)	)	PUNCT
ejpam-5435	470	4	it	it	PRON
ejpam-5435	470	5	follows∣∣ρ3	follows∣∣ρ3	VERB
ejpam-5435	470	6	−	−	PROPN
ejpam-5435	471	1	µρ22	µρ22	PROPN
ejpam-5435	471	2	∣∣	∣∣	NUM
ejpam-5435	471	3	≤	≤	PROPN
ejpam-5435	471	4	(	(	PUNCT
ejpam-5435	471	5	α+β)(c−d	α+β)(c−d	PROPN
ejpam-5435	471	6	)	)	PUNCT
ejpam-5435	471	7	cos	cos	ADP
ejpam-5435	471	8	γ	γ	PROPN
ejpam-5435	471	9	2(α+3β	2(α+3β	NUM
ejpam-5435	471	10	)	)	PUNCT
ejpam-5435	471	11	{	{	PUNCT
ejpam-5435	471	12	|ω2|+	|ω2|+	ADJ
ejpam-5435	471	13	∣∣∣−d	∣∣∣−d	NOUN
ejpam-5435	471	14	+	+	CCONJ
ejpam-5435	471	15	(	(	PUNCT
ejpam-5435	471	16	c	c	PROPN
ejpam-5435	471	17	−d	−d	PROPN
ejpam-5435	471	18	)	)	PUNCT
ejpam-5435	471	19	e−iγ	e−iγ	PROPN
ejpam-5435	471	20	cos	cos	PROPN
ejpam-5435	471	21	γ	γ	PROPN
ejpam-5435	471	22	[	[	PUNCT
ejpam-5435	471	23	1−	1−	NUM
ejpam-5435	471	24	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	471	25	)	)	PUNCT
ejpam-5435	471	26	(	(	PUNCT
ejpam-5435	471	27	α+2β)2	α+2β)2	NOUN
ejpam-5435	471	28	]	]	X
ejpam-5435	471	29	∣∣∣	∣∣∣	X
ejpam-5435	471	30	|ω1|2	|ω1|2	PUNCT
ejpam-5435	471	31	}	}	PUNCT
ejpam-5435	471	32	making	make	VERB
ejpam-5435	471	33	use	use	NOUN
ejpam-5435	471	34	of	of	ADP
ejpam-5435	471	35	lemma	lemma	PROPN
ejpam-5435	471	36	2	2	NUM
ejpam-5435	471	37	we	we	PRON
ejpam-5435	471	38	have∣∣ρ3	have∣∣ρ3	VERB
ejpam-5435	471	39	−	−	X
ejpam-5435	472	1	µρ22	µρ22	PROPN
ejpam-5435	472	2	∣∣	∣∣	NUM
ejpam-5435	472	3	≤	≤	PROPN
ejpam-5435	472	4	(	(	PUNCT
ejpam-5435	472	5	α+β)(c−d	α+β)(c−d	PROPN
ejpam-5435	472	6	)	)	PUNCT
ejpam-5435	472	7	cos	cos	ADP
ejpam-5435	472	8	γ	γ	PROPN
ejpam-5435	472	9	2(α+3β	2(α+3β	NUM
ejpam-5435	472	10	)	)	PUNCT
ejpam-5435	472	11	{	{	PUNCT
ejpam-5435	472	12	1	1	NUM
ejpam-5435	472	13	+	+	CCONJ
ejpam-5435	472	14	(	(	PUNCT
ejpam-5435	472	15	∣∣∣−d	∣∣∣−d	NOUN
ejpam-5435	472	16	+	+	CCONJ
ejpam-5435	472	17	(	(	PUNCT
ejpam-5435	472	18	c	c	PROPN
ejpam-5435	472	19	−d	−d	PROPN
ejpam-5435	472	20	)	)	PUNCT
ejpam-5435	472	21	e−iγ	e−iγ	PROPN
ejpam-5435	472	22	cos	cos	PROPN
ejpam-5435	472	23	γ	γ	PROPN
ejpam-5435	472	24	[	[	PUNCT
ejpam-5435	472	25	1−	1−	NUM
ejpam-5435	472	26	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	472	27	)	)	PUNCT
ejpam-5435	472	28	(	(	PUNCT
ejpam-5435	472	29	α+2β)2	α+2β)2	NOUN
ejpam-5435	472	30	]	]	PUNCT
ejpam-5435	472	31	∣∣∣−	∣∣∣−	PROPN
ejpam-5435	472	32	1	1	NUM
ejpam-5435	472	33	)	)	PUNCT
ejpam-5435	472	34	|ω1|2	|ω1|2	PUNCT
ejpam-5435	472	35	}	}	PUNCT
ejpam-5435	472	36	or	or	CCONJ
ejpam-5435	472	37	∣∣ρ3	∣∣ρ3	VERB
ejpam-5435	472	38	−	−	PROPN
ejpam-5435	472	39	µρ22	µρ22	PROPN
ejpam-5435	472	40	∣∣	∣∣	NUM
ejpam-5435	472	41	≤	≤	PROPN
ejpam-5435	472	42	(	(	PUNCT
ejpam-5435	472	43	α+β)(c−d	α+β)(c−d	PROPN
ejpam-5435	472	44	)	)	PUNCT
ejpam-5435	472	45	cos	cos	ADP
ejpam-5435	472	46	γ	γ	X
ejpam-5435	472	47	2(α+3β	2(α+3β	NUM
ejpam-5435	472	48	)	)	PUNCT
ejpam-5435	472	49	[	[	PUNCT
ejpam-5435	472	50	1	1	NUM
ejpam-5435	472	51	+	+	CCONJ
ejpam-5435	472	52	(	(	PUNCT
ejpam-5435	472	53	√	√	ADP
ejpam-5435	472	54	d2	d2	PROPN
ejpam-5435	472	55	+	+	PROPN
ejpam-5435	472	56	π(π−	π(π−	ADV
ejpam-5435	472	57	2d	2d	NOUN
ejpam-5435	472	58	)	)	PUNCT
ejpam-5435	472	59	cos2	cos2	PROPN
ejpam-5435	472	60	γ	γ	NOUN
ejpam-5435	472	61	−	−	PROPN
ejpam-5435	472	62	1	1	NUM
ejpam-5435	472	63	)	)	PUNCT
ejpam-5435	472	64	|ω1|2	|ω1|2	PUNCT
ejpam-5435	472	65	]	]	PUNCT
ejpam-5435	472	66	,	,	PUNCT
ejpam-5435	472	67	(	(	PUNCT
ejpam-5435	472	68	49	49	NUM
ejpam-5435	472	69	)	)	PUNCT
ejpam-5435	473	1	where	where	SCONJ
ejpam-5435	473	2	π	π	NOUN
ejpam-5435	473	3	=	=	PRON
ejpam-5435	473	4	(	(	PUNCT
ejpam-5435	473	5	c	c	PROPN
ejpam-5435	473	6	−d	−d	PROPN
ejpam-5435	473	7	)	)	PUNCT
ejpam-5435	474	1	[	[	PUNCT
ejpam-5435	474	2	1−	1−	NUM
ejpam-5435	474	3	2µ	2µ	NUM
ejpam-5435	474	4	(	(	PUNCT
ejpam-5435	474	5	α+	α+	X
ejpam-5435	474	6	β	β	X
ejpam-5435	474	7	)	)	PUNCT
ejpam-5435	474	8	(	(	PUNCT
ejpam-5435	474	9	α+	α+	NOUN
ejpam-5435	474	10	3β	3β	NOUN
ejpam-5435	474	11	)	)	PUNCT
ejpam-5435	474	12	(	(	PUNCT
ejpam-5435	474	13	α+	α+	X
ejpam-5435	474	14	2β)2	2β)2	NUM
ejpam-5435	474	15	]	]	PUNCT
ejpam-5435	474	16	.	.	PUNCT
ejpam-5435	475	1	(	(	PUNCT
ejpam-5435	475	2	50	50	NUM
ejpam-5435	475	3	)	)	PUNCT
ejpam-5435	475	4	denote	denote	NOUN
ejpam-5435	475	5	by	by	ADP
ejpam-5435	475	6	h	h	PROPN
ejpam-5435	475	7	(	(	PUNCT
ejpam-5435	475	8	x	x	NOUN
ejpam-5435	475	9	,	,	PUNCT
ejpam-5435	475	10	y	y	NOUN
ejpam-5435	475	11	)	)	PUNCT
ejpam-5435	475	12	=	=	SYM
ejpam-5435	476	1	1	1	NUM
ejpam-5435	476	2	+	+	CCONJ
ejpam-5435	476	3	(	(	PUNCT
ejpam-5435	476	4	√	√	ADP
ejpam-5435	476	5	d2	d2	PROPN
ejpam-5435	476	6	+	+	PROPN
ejpam-5435	476	7	π(π−	π(π−	ADV
ejpam-5435	476	8	2d)x2	2d)x2	NUM
ejpam-5435	476	9	−	−	NOUN
ejpam-5435	476	10	1	1	NUM
ejpam-5435	476	11	)	)	PUNCT
ejpam-5435	476	12	y2	y2	INTJ
ejpam-5435	476	13	where	where	SCONJ
ejpam-5435	476	14	x	x	PUNCT
ejpam-5435	476	15	=	=	PUNCT
ejpam-5435	476	16	cos	cos	PROPN
ejpam-5435	476	17	γ	γ	PROPN
ejpam-5435	476	18	,	,	PUNCT
ejpam-5435	476	19	y	y	PROPN
ejpam-5435	476	20	=	=	PUNCT
ejpam-5435	476	21	|ω1|	|ω1|	PROPN
ejpam-5435	476	22	and	and	CCONJ
ejpam-5435	476	23	(	(	PUNCT
ejpam-5435	476	24	x	x	NOUN
ejpam-5435	476	25	,	,	PUNCT
ejpam-5435	476	26	y	y	PROPN
ejpam-5435	476	27	)	)	PUNCT
ejpam-5435	476	28	:	:	PUNCT
ejpam-5435	477	1	[	[	X
ejpam-5435	477	2	0	0	NUM
ejpam-5435	477	3	,	,	PUNCT
ejpam-5435	477	4	1]×	1]×	NUM
ejpam-5435	478	1	[	[	X
ejpam-5435	478	2	0	0	NUM
ejpam-5435	478	3	,	,	PUNCT
ejpam-5435	478	4	1	1	NUM
ejpam-5435	478	5	]	]	PUNCT
ejpam-5435	478	6	.	.	PUNCT
ejpam-5435	479	1	simple	simple	ADJ
ejpam-5435	479	2	calculation	calculation	NOUN
ejpam-5435	479	3	shows	show	VERB
ejpam-5435	479	4	that	that	SCONJ
ejpam-5435	479	5	h	h	NOUN
ejpam-5435	479	6	(	(	PUNCT
ejpam-5435	479	7	x	x	NOUN
ejpam-5435	479	8	,	,	PUNCT
ejpam-5435	479	9	y	y	NOUN
ejpam-5435	479	10	)	)	PUNCT
ejpam-5435	479	11	does	do	AUX
ejpam-5435	479	12	not	not	PART
ejpam-5435	479	13	have	have	VERB
ejpam-5435	479	14	a	a	DET
ejpam-5435	479	15	local	local	ADJ
ejpam-5435	479	16	maximum	maximum	NOUN
ejpam-5435	479	17	at	at	ADP
ejpam-5435	479	18	any	any	DET
ejpam-5435	479	19	interior	interior	ADJ
ejpam-5435	479	20	point	point	NOUN
ejpam-5435	479	21	of	of	ADP
ejpam-5435	479	22	the	the	DET
ejpam-5435	479	23	rectangle	rectangle	NOUN
ejpam-5435	479	24	(	(	PUNCT
ejpam-5435	479	25	0	0	NUM
ejpam-5435	479	26	,	,	PUNCT
ejpam-5435	479	27	1)×	1)×	NUM
ejpam-5435	479	28	(	(	PUNCT
ejpam-5435	479	29	0	0	NUM
ejpam-5435	479	30	,	,	PUNCT
ejpam-5435	479	31	1	1	NUM
ejpam-5435	479	32	)	)	PUNCT
ejpam-5435	479	33	.	.	PUNCT
ejpam-5435	480	1	thus	thus	ADV
ejpam-5435	480	2	,	,	PUNCT
ejpam-5435	480	3	the	the	DET
ejpam-5435	480	4	maximum	maximum	NOUN
ejpam-5435	480	5	must	must	AUX
ejpam-5435	480	6	be	be	AUX
ejpam-5435	480	7	attained	attain	VERB
ejpam-5435	480	8	at	at	ADP
ejpam-5435	480	9	a	a	DET
ejpam-5435	480	10	boundary	boundary	ADJ
ejpam-5435	480	11	point	point	NOUN
ejpam-5435	480	12	.	.	PUNCT
ejpam-5435	481	1	since	since	SCONJ
ejpam-5435	481	2	h	h	PROPN
ejpam-5435	481	3	(	(	PUNCT
ejpam-5435	481	4	x	x	X
ejpam-5435	481	5	,	,	PUNCT
ejpam-5435	481	6	0	0	NUM
ejpam-5435	481	7	)	)	PUNCT
ejpam-5435	481	8	=	=	SYM
ejpam-5435	481	9	1	1	NUM
ejpam-5435	481	10	,	,	PUNCT
ejpam-5435	481	11	h	h	NOUN
ejpam-5435	481	12	(	(	PUNCT
ejpam-5435	481	13	0	0	NUM
ejpam-5435	481	14	,	,	PUNCT
ejpam-5435	481	15	y	y	NOUN
ejpam-5435	481	16	)	)	PUNCT
ejpam-5435	481	17	=	=	SYM
ejpam-5435	481	18	1	1	NUM
ejpam-5435	481	19	+	+	CCONJ
ejpam-5435	481	20	(	(	PUNCT
ejpam-5435	481	21	|d|	|d|	PROPN
ejpam-5435	481	22	−	−	PROPN
ejpam-5435	481	23	1	1	X
ejpam-5435	481	24	)	)	PUNCT
ejpam-5435	481	25	y2	y2	NOUN
ejpam-5435	481	26	≤	≤	NOUN
ejpam-5435	481	27	1	1	NUM
ejpam-5435	481	28	and	and	CCONJ
ejpam-5435	481	29	h	h	NOUN
ejpam-5435	481	30	(	(	PUNCT
ejpam-5435	481	31	1	1	NUM
ejpam-5435	481	32	,	,	PUNCT
ejpam-5435	481	33	1	1	NUM
ejpam-5435	481	34	)	)	PUNCT
ejpam-5435	481	35	=	=	PUNCT
ejpam-5435	482	1	|π−d|	|π−d|	X
ejpam-5435	482	2	,	,	PUNCT
ejpam-5435	482	3	it	it	PRON
ejpam-5435	482	4	follows	follow	VERB
ejpam-5435	482	5	that	that	SCONJ
ejpam-5435	482	6	the	the	DET
ejpam-5435	482	7	maximal	maximal	ADJ
ejpam-5435	482	8	value	value	NOUN
ejpam-5435	482	9	of	of	ADP
ejpam-5435	482	10	h	h	NOUN
ejpam-5435	482	11	(	(	PUNCT
ejpam-5435	482	12	x	x	NOUN
ejpam-5435	482	13	,	,	PUNCT
ejpam-5435	482	14	y	y	PROPN
ejpam-5435	482	15	)	)	PUNCT
ejpam-5435	482	16	may	may	AUX
ejpam-5435	482	17	be	be	AUX
ejpam-5435	482	18	h	h	NOUN
ejpam-5435	482	19	(	(	PUNCT
ejpam-5435	482	20	0	0	NUM
ejpam-5435	482	21	,	,	PUNCT
ejpam-5435	482	22	0	0	NUM
ejpam-5435	482	23	)	)	PUNCT
ejpam-5435	482	24	=	=	SYM
ejpam-5435	482	25	1	1	NUM
ejpam-5435	482	26	or	or	CCONJ
ejpam-5435	482	27	h	h	NOUN
ejpam-5435	482	28	(	(	PUNCT
ejpam-5435	482	29	1	1	NUM
ejpam-5435	482	30	,	,	PUNCT
ejpam-5435	482	31	1	1	NUM
ejpam-5435	482	32	)	)	PUNCT
ejpam-5435	482	33	=	=	PUNCT
ejpam-5435	483	1	|π−d|	|π−d|	X
ejpam-5435	483	2	.	.	PUNCT
ejpam-5435	484	1	hence	hence	ADV
ejpam-5435	484	2	,	,	PUNCT
ejpam-5435	484	3	from	from	ADP
ejpam-5435	484	4	(	(	PUNCT
ejpam-5435	484	5	49	49	NUM
ejpam-5435	484	6	)	)	PUNCT
ejpam-5435	484	7	we	we	PRON
ejpam-5435	484	8	obtain∣∣ρ3	obtain∣∣ρ3	VERB
ejpam-5435	484	9	−	−	PROPN
ejpam-5435	485	1	µρ22	µρ22	PROPN
ejpam-5435	485	2	∣∣	∣∣	NUM
ejpam-5435	485	3	≤	≤	PROPN
ejpam-5435	485	4	(	(	PUNCT
ejpam-5435	485	5	α+β)(c−d	α+β)(c−d	PROPN
ejpam-5435	485	6	)	)	PUNCT
ejpam-5435	485	7	cos	cos	ADP
ejpam-5435	485	8	γ	γ	PROPN
ejpam-5435	485	9	2(α+3β	2(α+3β	NUM
ejpam-5435	485	10	)	)	PUNCT
ejpam-5435	485	11	max	max	PROPN
ejpam-5435	485	12	{	{	PUNCT
ejpam-5435	485	13	1	1	NUM
ejpam-5435	485	14	,	,	PUNCT
ejpam-5435	485	15	|π−d|	|π−d|	NUM
ejpam-5435	485	16	}	}	PUNCT
ejpam-5435	485	17	,	,	PUNCT
ejpam-5435	485	18	(	(	PUNCT
ejpam-5435	485	19	51	51	NUM
ejpam-5435	485	20	)	)	PUNCT
ejpam-5435	485	21	where	where	SCONJ
ejpam-5435	485	22	π	π	PROPN
ejpam-5435	485	23	is	be	AUX
ejpam-5435	485	24	given	give	VERB
ejpam-5435	485	25	by	by	ADP
ejpam-5435	485	26	(	(	PUNCT
ejpam-5435	485	27	50	50	NUM
ejpam-5435	485	28	)	)	PUNCT
ejpam-5435	485	29	.	.	PUNCT
ejpam-5435	486	1	consider	consider	VERB
ejpam-5435	486	2	first	first	ADV
ejpam-5435	486	3	the	the	DET
ejpam-5435	486	4	case	case	NOUN
ejpam-5435	486	5	|π−d|	|π−d|	PUNCT
ejpam-5435	486	6	≥	≥	NUM
ejpam-5435	486	7	1	1	NUM
ejpam-5435	486	8	.	.	PUNCT
ejpam-5435	487	1	if	if	SCONJ
ejpam-5435	487	2	µ	µ	PRON
ejpam-5435	487	3	≤	≤	NOUN
ejpam-5435	487	4	ϑ1	ϑ1	NOUN
ejpam-5435	487	5	,	,	PUNCT
ejpam-5435	487	6	where	where	SCONJ
ejpam-5435	487	7	ϑ1	ϑ1	NOUN
ejpam-5435	487	8	is	be	AUX
ejpam-5435	487	9	given	give	VERB
ejpam-5435	487	10	by	by	ADP
ejpam-5435	487	11	(	(	PUNCT
ejpam-5435	487	12	42	42	NUM
ejpam-5435	487	13	)	)	PUNCT
ejpam-5435	487	14	,	,	PUNCT
ejpam-5435	487	15	then	then	ADV
ejpam-5435	487	16	π	π	X
ejpam-5435	487	17	≥	≥	NUM
ejpam-5435	487	18	1	1	NUM
ejpam-5435	487	19	+	+	NOUN
ejpam-5435	487	20	d	d	NOUN
ejpam-5435	487	21	and	and	CCONJ
ejpam-5435	487	22	from	from	ADP
ejpam-5435	487	23	(	(	PUNCT
ejpam-5435	487	24	51	51	NUM
ejpam-5435	487	25	)	)	PUNCT
ejpam-5435	487	26	we	we	PRON
ejpam-5435	487	27	obtain∣∣ρ3	obtain∣∣ρ3	VERB
ejpam-5435	487	28	−	−	PROPN
ejpam-5435	488	1	µρ22	µρ22	PROPN
ejpam-5435	488	2	∣∣	∣∣	NUM
ejpam-5435	488	3	≤	≤	PROPN
ejpam-5435	488	4	(	(	PUNCT
ejpam-5435	488	5	α+β)(c−d	α+β)(c−d	PROPN
ejpam-5435	488	6	)	)	PUNCT
ejpam-5435	488	7	cos	cos	ADP
ejpam-5435	488	8	γ	γ	PROPN
ejpam-5435	488	9	2(α+3β	2(α+3β	NUM
ejpam-5435	488	10	)	)	PUNCT
ejpam-5435	488	11	[	[	PUNCT
ejpam-5435	488	12	−d	−d	X
ejpam-5435	488	13	+	+	CCONJ
ejpam-5435	488	14	(	(	PUNCT
ejpam-5435	488	15	c	c	PROPN
ejpam-5435	488	16	−d	−d	PROPN
ejpam-5435	488	17	)	)	PUNCT
ejpam-5435	488	18	(	(	PUNCT
ejpam-5435	488	19	1−	1−	NUM
ejpam-5435	488	20	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	488	21	)	)	PUNCT
ejpam-5435	488	22	(	(	PUNCT
ejpam-5435	488	23	α+2β)2	α+2β)2	NOUN
ejpam-5435	488	24	)	)	PUNCT
ejpam-5435	488	25	]	]	PUNCT
ejpam-5435	488	26	which	which	PRON
ejpam-5435	488	27	is	be	AUX
ejpam-5435	488	28	the	the	DET
ejpam-5435	488	29	first	first	ADJ
ejpam-5435	488	30	part	part	NOUN
ejpam-5435	488	31	of	of	ADP
ejpam-5435	488	32	the	the	DET
ejpam-5435	488	33	inequality	inequality	NOUN
ejpam-5435	488	34	(	(	PUNCT
ejpam-5435	488	35	41	41	NUM
ejpam-5435	488	36	)	)	PUNCT
ejpam-5435	488	37	.	.	PUNCT
ejpam-5435	489	1	if	if	SCONJ
ejpam-5435	489	2	µ	µ	PRON
ejpam-5435	489	3	≥	≥	NOUN
ejpam-5435	489	4	ϑ2	ϑ2	NOUN
ejpam-5435	489	5	,	,	PUNCT
ejpam-5435	489	6	where	where	SCONJ
ejpam-5435	489	7	ϑ2	ϑ2	PROPN
ejpam-5435	489	8	is	be	AUX
ejpam-5435	489	9	given	give	VERB
ejpam-5435	489	10	by	by	ADP
ejpam-5435	489	11	(	(	PUNCT
ejpam-5435	489	12	43	43	NUM
ejpam-5435	489	13	)	)	PUNCT
ejpam-5435	489	14	,	,	PUNCT
ejpam-5435	489	15	then	then	ADV
ejpam-5435	489	16	π	π	X
ejpam-5435	489	17	≤	≤	NUM
ejpam-5435	490	1	d	d	ADP
ejpam-5435	490	2	−	−	PROPN
ejpam-5435	490	3	1	1	NUM
ejpam-5435	491	1	and	and	CCONJ
ejpam-5435	491	2	it	it	PRON
ejpam-5435	491	3	follows	follow	VERB
ejpam-5435	491	4	from	from	ADP
ejpam-5435	491	5	(	(	PUNCT
ejpam-5435	491	6	51	51	NUM
ejpam-5435	491	7	)	)	PUNCT
ejpam-5435	491	8	that∣∣ρ3	that∣∣ρ3	NOUN
ejpam-5435	491	9	−	−	X
ejpam-5435	492	1	µρ22	µρ22	PROPN
ejpam-5435	492	2	∣∣	∣∣	NUM
ejpam-5435	492	3	≤	≤	PROPN
ejpam-5435	492	4	(	(	PUNCT
ejpam-5435	492	5	α+β)(c−d	α+β)(c−d	PROPN
ejpam-5435	492	6	)	)	PUNCT
ejpam-5435	492	7	cos	cos	ADP
ejpam-5435	492	8	γ	γ	X
ejpam-5435	492	9	2(α+3β	2(α+3β	NUM
ejpam-5435	492	10	)	)	PUNCT
ejpam-5435	493	1	[	[	PUNCT
ejpam-5435	493	2	d	d	X
ejpam-5435	493	3	−	−	PROPN
ejpam-5435	493	4	(	(	PUNCT
ejpam-5435	493	5	c	c	PROPN
ejpam-5435	493	6	−d	−d	PROPN
ejpam-5435	493	7	)	)	PUNCT
ejpam-5435	493	8	(	(	PUNCT
ejpam-5435	493	9	1−	1−	NUM
ejpam-5435	493	10	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	493	11	)	)	PUNCT
ejpam-5435	493	12	(	(	PUNCT
ejpam-5435	493	13	α+2β)2	α+2β)2	NOUN
ejpam-5435	493	14	)	)	PUNCT
ejpam-5435	493	15	]	]	PUNCT
ejpam-5435	493	16	and	and	CCONJ
ejpam-5435	493	17	this	this	PRON
ejpam-5435	493	18	is	be	AUX
ejpam-5435	493	19	the	the	DET
ejpam-5435	493	20	third	third	ADJ
ejpam-5435	493	21	part	part	NOUN
ejpam-5435	493	22	of	of	ADP
ejpam-5435	493	23	(	(	PUNCT
ejpam-5435	493	24	41	41	NUM
ejpam-5435	493	25	)	)	PUNCT
ejpam-5435	493	26	.	.	PUNCT
ejpam-5435	494	1	next	next	ADV
ejpam-5435	494	2	,	,	PUNCT
ejpam-5435	494	3	suppose	suppose	VERB
ejpam-5435	494	4	ϑ1	ϑ1	PROPN
ejpam-5435	494	5	≤	≤	PROPN
ejpam-5435	494	6	µ	µ	PRON
ejpam-5435	494	7	≤	≤	NUM
ejpam-5435	494	8	ϑ2	ϑ2	NOUN
ejpam-5435	494	9	.	.	PUNCT
ejpam-5435	495	1	then	then	ADV
ejpam-5435	495	2	,	,	PUNCT
ejpam-5435	495	3	|π−d|	|π−d|	PUNCT
ejpam-5435	495	4	≤	≤	ADV
ejpam-5435	495	5	1	1	NUM
ejpam-5435	495	6	and	and	CCONJ
ejpam-5435	495	7	thus	thus	ADV
ejpam-5435	495	8	,	,	PUNCT
ejpam-5435	495	9	from	from	ADP
ejpam-5435	495	10	(	(	PUNCT
ejpam-5435	495	11	51	51	NUM
ejpam-5435	495	12	)	)	PUNCT
ejpam-5435	495	13	we	we	PRON
ejpam-5435	495	14	obtain∣∣ρ3	obtain∣∣ρ3	VERB
ejpam-5435	495	15	−	−	PROPN
ejpam-5435	496	1	µρ22	µρ22	PROPN
ejpam-5435	496	2	∣∣	∣∣	NUM
ejpam-5435	496	3	≤	≤	PROPN
ejpam-5435	496	4	(	(	PUNCT
ejpam-5435	496	5	α+β)(c−d	α+β)(c−d	PROPN
ejpam-5435	496	6	)	)	PUNCT
ejpam-5435	496	7	cos	cos	ADP
ejpam-5435	496	8	γ	γ	PROPN
ejpam-5435	496	9	2(α+3β	2(α+3β	NUM
ejpam-5435	496	10	)	)	PUNCT
ejpam-5435	496	11	which	which	PRON
ejpam-5435	496	12	is	be	AUX
ejpam-5435	496	13	the	the	DET
ejpam-5435	496	14	second	second	ADJ
ejpam-5435	496	15	part	part	NOUN
ejpam-5435	496	16	of	of	ADP
ejpam-5435	496	17	the	the	DET
ejpam-5435	496	18	inequality	inequality	NOUN
ejpam-5435	496	19	(	(	PUNCT
ejpam-5435	496	20	41	41	NUM
ejpam-5435	496	21	)	)	PUNCT
ejpam-5435	496	22	.	.	PUNCT
ejpam-5435	497	1	for	for	ADP
ejpam-5435	497	2	γ	γ	X
ejpam-5435	497	3	=	=	SYM
ejpam-5435	497	4	0	0	NUM
ejpam-5435	497	5	in	in	ADP
ejpam-5435	497	6	theorem	theorem	NOUN
ejpam-5435	497	7	6	6	NUM
ejpam-5435	497	8	,	,	PUNCT
ejpam-5435	497	9	we	we	PRON
ejpam-5435	497	10	obtain	obtain	VERB
ejpam-5435	497	11	t.	t.	NOUN
ejpam-5435	497	12	m.	m.	NOUN
ejpam-5435	497	13	seoudy	seoudy	PROPN
ejpam-5435	497	14	/	/	SYM
ejpam-5435	497	15	eur	eur	PROPN
ejpam-5435	497	16	.	.	PUNCT
ejpam-5435	498	1	j.	j.	PROPN
ejpam-5435	498	2	pure	pure	PROPN
ejpam-5435	498	3	appl	appl	PROPN
ejpam-5435	498	4	.	.	PROPN
ejpam-5435	498	5	math	math	PROPN
ejpam-5435	498	6	,	,	PUNCT
ejpam-5435	498	7	17	17	NUM
ejpam-5435	498	8	(	(	PUNCT
ejpam-5435	498	9	4	4	NUM
ejpam-5435	498	10	)	)	PUNCT
ejpam-5435	498	11	(	(	PUNCT
ejpam-5435	498	12	2024	2024	NUM
ejpam-5435	498	13	)	)	PUNCT
ejpam-5435	498	14	,	,	PUNCT
ejpam-5435	498	15	3336	3336	NUM
ejpam-5435	498	16	-	-	SYM
ejpam-5435	498	17	3355	3355	NUM
ejpam-5435	498	18	3352	3352	NUM
ejpam-5435	498	19	corollary	corollary	NOUN
ejpam-5435	498	20	22	22	NUM
ejpam-5435	498	21	.	.	PUNCT
ejpam-5435	499	1	let	let	VERB
ejpam-5435	499	2	ψ	ψ	X
ejpam-5435	499	3	(	(	PUNCT
ejpam-5435	499	4	ξ	ξ	NOUN
ejpam-5435	499	5	)	)	PUNCT
ejpam-5435	499	6	∈	∈	NOUN
ejpam-5435	499	7	sk	sk	X
ejpam-5435	500	1	[	[	X
ejpam-5435	500	2	α	α	X
ejpam-5435	500	3	,	,	PUNCT
ejpam-5435	500	4	β;c	β;c	PRON
ejpam-5435	500	5	,	,	PUNCT
ejpam-5435	500	6	d	d	X
ejpam-5435	500	7	]	]	PUNCT
ejpam-5435	500	8	and	and	CCONJ
ejpam-5435	500	9	let	let	VERB
ejpam-5435	500	10	µ	µ	DET
ejpam-5435	500	11	∈	∈	PROPN
ejpam-5435	500	12	r.	r.	NOUN
ejpam-5435	500	13	then	then	ADV
ejpam-5435	500	14	∣∣ρ3	∣∣ρ3	VERB
ejpam-5435	500	15	−	−	PROPN
ejpam-5435	500	16	µρ22	µρ22	PROPN
ejpam-5435	500	17	∣∣	∣∣	NUM
ejpam-5435	500	18	≤	≤	NUM
ejpam-5435	500	19			NUM
ejpam-5435	500	20	(	(	PUNCT
ejpam-5435	500	21	α+β)(c−d	α+β)(c−d	X
ejpam-5435	500	22	)	)	PUNCT
ejpam-5435	500	23	2(α+3β	2(α+3β	NUM
ejpam-5435	500	24	)	)	PUNCT
ejpam-5435	500	25	[	[	PUNCT
ejpam-5435	500	26	−d	−d	X
ejpam-5435	500	27	+	+	CCONJ
ejpam-5435	500	28	(	(	PUNCT
ejpam-5435	500	29	c	c	PROPN
ejpam-5435	500	30	−d	−d	PROPN
ejpam-5435	500	31	)	)	PUNCT
ejpam-5435	500	32	(	(	PUNCT
ejpam-5435	500	33	1−	1−	NUM
ejpam-5435	500	34	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	500	35	)	)	PUNCT
ejpam-5435	500	36	(	(	PUNCT
ejpam-5435	500	37	α+2β)2	α+2β)2	NOUN
ejpam-5435	500	38	)	)	PUNCT
ejpam-5435	500	39	]	]	PUNCT
ejpam-5435	500	40	(	(	PUNCT
ejpam-5435	500	41	µ	µ	X
ejpam-5435	500	42	≤	≤	NUM
ejpam-5435	500	43	ϑ1	ϑ1	NOUN
ejpam-5435	500	44	)	)	PUNCT
ejpam-5435	500	45	(	(	PUNCT
ejpam-5435	500	46	α+β)(c−d	α+β)(c−d	X
ejpam-5435	500	47	)	)	PUNCT
ejpam-5435	500	48	2(α+3β	2(α+3β	NUM
ejpam-5435	500	49	)	)	PUNCT
ejpam-5435	501	1	(	(	PUNCT
ejpam-5435	501	2	ϑ1	ϑ1	NOUN
ejpam-5435	501	3	≤	≤	PROPN
ejpam-5435	501	4	µ	µ	PRON
ejpam-5435	501	5	≤	≤	NUM
ejpam-5435	501	6	ϑ2	ϑ2	NOUN
ejpam-5435	501	7	)	)	PUNCT
ejpam-5435	501	8	(	(	PUNCT
ejpam-5435	501	9	α+β)(c−d	α+β)(c−d	X
ejpam-5435	501	10	)	)	PUNCT
ejpam-5435	501	11	2(α+3β	2(α+3β	NUM
ejpam-5435	501	12	)	)	PUNCT
ejpam-5435	502	1	[	[	PUNCT
ejpam-5435	502	2	d	d	X
ejpam-5435	502	3	−	−	PROPN
ejpam-5435	502	4	(	(	PUNCT
ejpam-5435	502	5	c	c	PROPN
ejpam-5435	502	6	−d	−d	PROPN
ejpam-5435	502	7	)	)	PUNCT
ejpam-5435	502	8	(	(	PUNCT
ejpam-5435	502	9	1−	1−	NUM
ejpam-5435	502	10	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	502	11	)	)	PUNCT
ejpam-5435	502	12	(	(	PUNCT
ejpam-5435	502	13	α+2β)2	α+2β)2	NOUN
ejpam-5435	502	14	)	)	PUNCT
ejpam-5435	502	15	]	]	PUNCT
ejpam-5435	502	16	(	(	PUNCT
ejpam-5435	502	17	µ	µ	X
ejpam-5435	502	18	≥	≥	NOUN
ejpam-5435	502	19	ϑ2	ϑ2	NOUN
ejpam-5435	502	20	)	)	PUNCT
ejpam-5435	502	21	where	where	SCONJ
ejpam-5435	502	22	ϑ1	ϑ1	NOUN
ejpam-5435	502	23	and	and	CCONJ
ejpam-5435	502	24	ϑ2	ϑ2	PROPN
ejpam-5435	502	25	are	be	AUX
ejpam-5435	502	26	given	give	VERB
ejpam-5435	502	27	by	by	ADP
ejpam-5435	502	28	(	(	PUNCT
ejpam-5435	502	29	42	42	NUM
ejpam-5435	502	30	)	)	PUNCT
ejpam-5435	502	31	and	and	CCONJ
ejpam-5435	502	32	(	(	PUNCT
ejpam-5435	502	33	43	43	NUM
ejpam-5435	502	34	)	)	PUNCT
ejpam-5435	502	35	.	.	PUNCT
ejpam-5435	503	1	taking	take	VERB
ejpam-5435	503	2	β	β	NOUN
ejpam-5435	503	3	=	=	SYM
ejpam-5435	503	4	0	0	PUNCT
ejpam-5435	503	5	in	in	ADP
ejpam-5435	503	6	theorem	theorem	NOUN
ejpam-5435	503	7	6	6	NUM
ejpam-5435	503	8	,	,	PUNCT
ejpam-5435	503	9	we	we	PRON
ejpam-5435	503	10	obtain	obtain	VERB
ejpam-5435	503	11	corollary	corollary	ADJ
ejpam-5435	503	12	23	23	NUM
ejpam-5435	503	13	.	.	PUNCT
ejpam-5435	504	1	let	let	VERB
ejpam-5435	504	2	ψ	ψ	X
ejpam-5435	504	3	(	(	PUNCT
ejpam-5435	504	4	ξ	ξ	NOUN
ejpam-5435	504	5	)	)	PUNCT
ejpam-5435	504	6	∈	∈	NOUN
ejpam-5435	504	7	sγ	sγ	VERB
ejpam-5435	505	1	[	[	X
ejpam-5435	505	2	c	c	X
ejpam-5435	505	3	,	,	PUNCT
ejpam-5435	505	4	d	d	X
ejpam-5435	505	5	]	]	PUNCT
ejpam-5435	505	6	and	and	CCONJ
ejpam-5435	505	7	let	let	VERB
ejpam-5435	505	8	µ	µ	PRON
ejpam-5435	505	9	∈	∈	PROPN
ejpam-5435	505	10	r.	r.	NOUN
ejpam-5435	505	11	then	then	ADV
ejpam-5435	505	12	∣∣ρ3	∣∣ρ3	VERB
ejpam-5435	505	13	−	−	PROPN
ejpam-5435	505	14	µρ22	µρ22	PROPN
ejpam-5435	505	15	∣∣	∣∣	NUM
ejpam-5435	505	16	≤	≤	ADV
ejpam-5435	505	17			PROPN
ejpam-5435	505	18	(	(	PUNCT
ejpam-5435	505	19	c−d	c−d	X
ejpam-5435	505	20	)	)	PUNCT
ejpam-5435	505	21	cos	cos	ADP
ejpam-5435	505	22	γ	γ	X
ejpam-5435	505	23	2	2	PROPN
ejpam-5435	505	24	[	[	X
ejpam-5435	505	25	−d	−d	X
ejpam-5435	505	26	+	+	CCONJ
ejpam-5435	505	27	(	(	PUNCT
ejpam-5435	505	28	c	c	PROPN
ejpam-5435	505	29	−d	−d	PROPN
ejpam-5435	505	30	)	)	PUNCT
ejpam-5435	505	31	(	(	PUNCT
ejpam-5435	505	32	1−	1−	NUM
ejpam-5435	505	33	2µ	2µ	NUM
ejpam-5435	505	34	)	)	PUNCT
ejpam-5435	505	35	]	]	PUNCT
ejpam-5435	505	36	(	(	PUNCT
ejpam-5435	505	37	µ	µ	X
ejpam-5435	505	38	≤	≤	NUM
ejpam-5435	505	39	ϑ1	ϑ1	NOUN
ejpam-5435	505	40	)	)	PUNCT
ejpam-5435	505	41	(	(	PUNCT
ejpam-5435	505	42	c−d	c−d	X
ejpam-5435	505	43	)	)	PUNCT
ejpam-5435	505	44	cos	cos	ADP
ejpam-5435	505	45	γ	γ	X
ejpam-5435	505	46	2	2	NUM
ejpam-5435	505	47	(	(	PUNCT
ejpam-5435	505	48	ϑ1	ϑ1	PROPN
ejpam-5435	505	49	≤	≤	PROPN
ejpam-5435	505	50	µ	µ	PRON
ejpam-5435	505	51	≤	≤	NUM
ejpam-5435	505	52	ϑ2	ϑ2	NOUN
ejpam-5435	505	53	)	)	PUNCT
ejpam-5435	505	54	(	(	PUNCT
ejpam-5435	505	55	c−d	c−d	X
ejpam-5435	505	56	)	)	PUNCT
ejpam-5435	505	57	cos	cos	ADP
ejpam-5435	505	58	γ	γ	X
ejpam-5435	505	59	2	2	NUM
ejpam-5435	505	60	[	[	X
ejpam-5435	505	61	d	d	X
ejpam-5435	505	62	−	−	PROPN
ejpam-5435	505	63	(	(	PUNCT
ejpam-5435	505	64	c	c	PROPN
ejpam-5435	505	65	−d	−d	PROPN
ejpam-5435	505	66	)	)	PUNCT
ejpam-5435	505	67	(	(	PUNCT
ejpam-5435	505	68	1−	1−	NUM
ejpam-5435	505	69	2µ	2µ	NUM
ejpam-5435	505	70	)	)	PUNCT
ejpam-5435	505	71	]	]	PUNCT
ejpam-5435	505	72	(	(	PUNCT
ejpam-5435	505	73	µ	µ	X
ejpam-5435	505	74	≥	≥	NOUN
ejpam-5435	505	75	ϑ2	ϑ2	NOUN
ejpam-5435	505	76	)	)	PUNCT
ejpam-5435	506	1	where	where	SCONJ
ejpam-5435	506	2	ϑ3	ϑ3	NOUN
ejpam-5435	506	3	=	=	PROPN
ejpam-5435	506	4	c	c	PROPN
ejpam-5435	506	5	−	−	PROPN
ejpam-5435	506	6	2d	2d	NOUN
ejpam-5435	506	7	−	−	NOUN
ejpam-5435	506	8	1	1	NUM
ejpam-5435	506	9	2	2	NUM
ejpam-5435	506	10	(	(	PUNCT
ejpam-5435	506	11	c	c	PROPN
ejpam-5435	506	12	−d	−d	PROPN
ejpam-5435	506	13	)	)	PUNCT
ejpam-5435	506	14	,	,	PUNCT
ejpam-5435	506	15	ϑ4	ϑ4	PROPN
ejpam-5435	506	16	=	=	PUNCT
ejpam-5435	506	17	c	c	PROPN
ejpam-5435	506	18	−	−	PROPN
ejpam-5435	506	19	2d	2d	NOUN
ejpam-5435	506	20	+	+	CCONJ
ejpam-5435	506	21	1	1	NUM
ejpam-5435	506	22	2	2	NUM
ejpam-5435	506	23	(	(	PUNCT
ejpam-5435	506	24	c	c	PROPN
ejpam-5435	506	25	−d	−d	PROPN
ejpam-5435	506	26	)	)	PUNCT
ejpam-5435	506	27	.	.	PUNCT
ejpam-5435	506	28	taking	take	VERB
ejpam-5435	506	29	α	α	NOUN
ejpam-5435	506	30	=	=	SYM
ejpam-5435	506	31	0	0	NUM
ejpam-5435	506	32	in	in	ADP
ejpam-5435	506	33	theorem	theorem	NOUN
ejpam-5435	506	34	6	6	NUM
ejpam-5435	506	35	,	,	PUNCT
ejpam-5435	506	36	we	we	PRON
ejpam-5435	506	37	obtain	obtain	VERB
ejpam-5435	506	38	corollary	corollary	ADJ
ejpam-5435	506	39	24	24	NUM
ejpam-5435	506	40	.	.	PUNCT
ejpam-5435	507	1	let	let	VERB
ejpam-5435	507	2	ψ	ψ	X
ejpam-5435	507	3	(	(	PUNCT
ejpam-5435	507	4	ξ	ξ	NOUN
ejpam-5435	507	5	)	)	PUNCT
ejpam-5435	507	6	∈	∈	PROPN
ejpam-5435	507	7	kγ	kγ	X
ejpam-5435	508	1	[	[	X
ejpam-5435	508	2	c	c	X
ejpam-5435	508	3	,	,	PUNCT
ejpam-5435	508	4	d	d	X
ejpam-5435	508	5	]	]	PUNCT
ejpam-5435	508	6	and	and	CCONJ
ejpam-5435	508	7	let	let	VERB
ejpam-5435	508	8	µ	µ	PRON
ejpam-5435	508	9	∈	∈	PROPN
ejpam-5435	508	10	r.	r.	NOUN
ejpam-5435	508	11	then	then	ADV
ejpam-5435	508	12	∣∣ρ3	∣∣ρ3	VERB
ejpam-5435	508	13	−	−	PROPN
ejpam-5435	508	14	µρ22	µρ22	PROPN
ejpam-5435	508	15	∣∣	∣∣	NUM
ejpam-5435	508	16	≤	≤	ADV
ejpam-5435	508	17			PROPN
ejpam-5435	508	18	(	(	PUNCT
ejpam-5435	508	19	c−d	c−d	X
ejpam-5435	508	20	)	)	PUNCT
ejpam-5435	509	1	cos	cos	ADP
ejpam-5435	509	2	γ	γ	X
ejpam-5435	509	3	6	6	NUM
ejpam-5435	509	4	[	[	PUNCT
ejpam-5435	509	5	−d	−d	X
ejpam-5435	509	6	+	+	CCONJ
ejpam-5435	509	7	(	(	PUNCT
ejpam-5435	509	8	c	c	PROPN
ejpam-5435	509	9	−d	−d	PROPN
ejpam-5435	509	10	)	)	PUNCT
ejpam-5435	509	11	(	(	PUNCT
ejpam-5435	509	12	1−	1−	NUM
ejpam-5435	509	13	3	3	NUM
ejpam-5435	509	14	2µ	2µ	NUM
ejpam-5435	509	15	)	)	PUNCT
ejpam-5435	509	16	]	]	PUNCT
ejpam-5435	510	1	(	(	PUNCT
ejpam-5435	510	2	µ	µ	NOUN
ejpam-5435	510	3	≤	≤	NUM
ejpam-5435	510	4	ϑ5	ϑ5	NOUN
ejpam-5435	510	5	)	)	PUNCT
ejpam-5435	510	6	(	(	PUNCT
ejpam-5435	510	7	c−d	c−d	NOUN
ejpam-5435	510	8	)	)	PUNCT
ejpam-5435	511	1	cos	cos	ADP
ejpam-5435	511	2	γ	γ	X
ejpam-5435	511	3	6	6	NUM
ejpam-5435	511	4	(	(	PUNCT
ejpam-5435	511	5	ϑ5	ϑ5	VERB
ejpam-5435	511	6	≤	≤	PROPN
ejpam-5435	511	7	µ	µ	PRON
ejpam-5435	511	8	≤	≤	NUM
ejpam-5435	511	9	ϑ6	ϑ6	PROPN
ejpam-5435	511	10	)	)	PUNCT
ejpam-5435	511	11	(	(	PUNCT
ejpam-5435	511	12	c−d	c−d	X
ejpam-5435	511	13	)	)	PUNCT
ejpam-5435	512	1	cos	cos	ADP
ejpam-5435	512	2	γ	γ	X
ejpam-5435	512	3	6	6	NUM
ejpam-5435	512	4	[	[	PUNCT
ejpam-5435	512	5	d	d	NOUN
ejpam-5435	512	6	−	−	PROPN
ejpam-5435	512	7	(	(	PUNCT
ejpam-5435	512	8	c	c	PROPN
ejpam-5435	512	9	−d	−d	PROPN
ejpam-5435	512	10	)	)	PUNCT
ejpam-5435	512	11	(	(	PUNCT
ejpam-5435	512	12	1−	1−	NUM
ejpam-5435	512	13	3	3	NUM
ejpam-5435	512	14	2µ	2µ	NUM
ejpam-5435	512	15	)	)	PUNCT
ejpam-5435	512	16	]	]	PUNCT
ejpam-5435	513	1	(	(	PUNCT
ejpam-5435	513	2	µ	µ	X
ejpam-5435	513	3	≥	≥	NUM
ejpam-5435	513	4	ϑ6	ϑ6	PROPN
ejpam-5435	513	5	)	)	PUNCT
ejpam-5435	513	6	where	where	SCONJ
ejpam-5435	513	7	ϑ5	ϑ5	NOUN
ejpam-5435	513	8	=	=	SYM
ejpam-5435	513	9	2	2	NUM
ejpam-5435	513	10	(	(	PUNCT
ejpam-5435	513	11	c	c	NOUN
ejpam-5435	513	12	−	−	PROPN
ejpam-5435	513	13	2d	2d	NOUN
ejpam-5435	513	14	−	−	NOUN
ejpam-5435	513	15	1	1	NUM
ejpam-5435	513	16	)	)	PUNCT
ejpam-5435	513	17	3	3	NUM
ejpam-5435	513	18	(	(	PUNCT
ejpam-5435	513	19	c	c	PROPN
ejpam-5435	513	20	−d	−d	PROPN
ejpam-5435	513	21	)	)	PUNCT
ejpam-5435	513	22	,	,	PUNCT
ejpam-5435	513	23	ϑ6	ϑ6	PROPN
ejpam-5435	513	24	=	=	PROPN
ejpam-5435	513	25	2	2	NUM
ejpam-5435	513	26	(	(	PUNCT
ejpam-5435	513	27	c	c	NOUN
ejpam-5435	513	28	−	−	PROPN
ejpam-5435	513	29	2d	2d	NOUN
ejpam-5435	513	30	+	+	CCONJ
ejpam-5435	513	31	1	1	NUM
ejpam-5435	513	32	)	)	PUNCT
ejpam-5435	513	33	3	3	NUM
ejpam-5435	513	34	(	(	PUNCT
ejpam-5435	513	35	c	c	PROPN
ejpam-5435	513	36	−d	−d	PROPN
ejpam-5435	513	37	)	)	PUNCT
ejpam-5435	513	38	.	.	PUNCT
ejpam-5435	514	1	taking	take	VERB
ejpam-5435	514	2	c	c	NOUN
ejpam-5435	514	3	=	=	SYM
ejpam-5435	514	4	1−	1−	NUM
ejpam-5435	514	5	2λ	2λ	NUM
ejpam-5435	514	6	(	(	PUNCT
ejpam-5435	514	7	0	0	NUM
ejpam-5435	514	8	≤	≤	NUM
ejpam-5435	514	9	λ	λ	X
ejpam-5435	514	10	<	<	X
ejpam-5435	514	11	1	1	NUM
ejpam-5435	514	12	)	)	PUNCT
ejpam-5435	514	13	and	and	CCONJ
ejpam-5435	514	14	d	d	NOUN
ejpam-5435	514	15	=	=	SYM
ejpam-5435	514	16	−1	−1	NOUN
ejpam-5435	514	17	in	in	ADP
ejpam-5435	514	18	theorem	theorem	NOUN
ejpam-5435	514	19	6	6	NUM
ejpam-5435	514	20	,	,	PUNCT
ejpam-5435	514	21	we	we	PRON
ejpam-5435	514	22	obtain	obtain	VERB
ejpam-5435	514	23	corollary	corollary	ADJ
ejpam-5435	514	24	25	25	NUM
ejpam-5435	514	25	.	.	PUNCT
ejpam-5435	515	1	let	let	VERB
ejpam-5435	515	2	ψ	ψ	X
ejpam-5435	515	3	(	(	PUNCT
ejpam-5435	515	4	ξ	ξ	NOUN
ejpam-5435	515	5	)	)	PUNCT
ejpam-5435	515	6	∈	∈	PROPN
ejpam-5435	515	7	skγ	skγ	NOUN
ejpam-5435	515	8	(	(	PUNCT
ejpam-5435	515	9	α	α	NOUN
ejpam-5435	515	10	,	,	PUNCT
ejpam-5435	515	11	β;λ	β;λ	PUNCT
ejpam-5435	515	12	)	)	PUNCT
ejpam-5435	515	13	and	and	CCONJ
ejpam-5435	515	14	let	let	VERB
ejpam-5435	515	15	µ	µ	PROPN
ejpam-5435	515	16	∈	∈	PROPN
ejpam-5435	515	17	r.	r.	NOUN
ejpam-5435	515	18	then	then	ADV
ejpam-5435	515	19	∣∣ρ3	∣∣ρ3	VERB
ejpam-5435	515	20	−	−	PROPN
ejpam-5435	516	1	µρ22	µρ22	PROPN
ejpam-5435	516	2	∣∣	∣∣	NUM
ejpam-5435	516	3	≤	≤	NUM
ejpam-5435	516	4			NUM
ejpam-5435	516	5	(	(	PUNCT
ejpam-5435	516	6	α+β)(1−λ	α+β)(1−λ	PROPN
ejpam-5435	516	7	)	)	PUNCT
ejpam-5435	516	8	cos	cos	ADP
ejpam-5435	516	9	γ	γ	X
ejpam-5435	516	10	(	(	PUNCT
ejpam-5435	516	11	α+3β	α+3β	PROPN
ejpam-5435	516	12	)	)	PUNCT
ejpam-5435	516	13	[	[	PUNCT
ejpam-5435	516	14	1	1	NUM
ejpam-5435	516	15	+	+	SYM
ejpam-5435	516	16	2	2	NUM
ejpam-5435	516	17	(	(	PUNCT
ejpam-5435	516	18	1−	1−	NUM
ejpam-5435	516	19	λ	λ	NOUN
ejpam-5435	516	20	)	)	PUNCT
ejpam-5435	516	21	(	(	PUNCT
ejpam-5435	516	22	1−	1−	NUM
ejpam-5435	516	23	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	516	24	)	)	PUNCT
ejpam-5435	516	25	(	(	PUNCT
ejpam-5435	516	26	α+2β)2	α+2β)2	NOUN
ejpam-5435	516	27	)	)	PUNCT
ejpam-5435	516	28	]	]	PUNCT
ejpam-5435	516	29	(	(	PUNCT
ejpam-5435	516	30	µ	µ	X
ejpam-5435	516	31	≤	≤	NUM
ejpam-5435	516	32	ϑ7	ϑ7	NOUN
ejpam-5435	516	33	)	)	PUNCT
ejpam-5435	516	34	(	(	PUNCT
ejpam-5435	516	35	α+β)(1−λ	α+β)(1−λ	PROPN
ejpam-5435	516	36	)	)	PUNCT
ejpam-5435	516	37	cos	cos	ADP
ejpam-5435	516	38	γ	γ	X
ejpam-5435	516	39	(	(	PUNCT
ejpam-5435	516	40	α+3β	α+3β	PROPN
ejpam-5435	516	41	)	)	PUNCT
ejpam-5435	516	42	(	(	PUNCT
ejpam-5435	516	43	ϑ7	ϑ7	NOUN
ejpam-5435	516	44	≤	≤	NUM
ejpam-5435	516	45	µ	µ	PRON
ejpam-5435	516	46	≤	≤	NUM
ejpam-5435	516	47	ϑ8	ϑ8	NOUN
ejpam-5435	516	48	)	)	PUNCT
ejpam-5435	516	49	(	(	PUNCT
ejpam-5435	516	50	α+β)(1−λ	α+β)(1−λ	PROPN
ejpam-5435	516	51	)	)	PUNCT
ejpam-5435	516	52	cos	cos	ADP
ejpam-5435	516	53	γ	γ	X
ejpam-5435	516	54	(	(	PUNCT
ejpam-5435	516	55	α+3β	α+3β	PROPN
ejpam-5435	516	56	)	)	PUNCT
ejpam-5435	516	57	[	[	PUNCT
ejpam-5435	516	58	−1−	−1−	NOUN
ejpam-5435	516	59	2	2	NUM
ejpam-5435	516	60	(	(	PUNCT
ejpam-5435	516	61	1−	1−	NUM
ejpam-5435	516	62	λ	λ	NOUN
ejpam-5435	516	63	)	)	PUNCT
ejpam-5435	516	64	(	(	PUNCT
ejpam-5435	516	65	1−	1−	NUM
ejpam-5435	516	66	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	516	67	)	)	PUNCT
ejpam-5435	516	68	(	(	PUNCT
ejpam-5435	516	69	α+2β)2	α+2β)2	NOUN
ejpam-5435	516	70	)	)	PUNCT
ejpam-5435	516	71	]	]	PUNCT
ejpam-5435	516	72	(	(	PUNCT
ejpam-5435	516	73	µ	µ	X
ejpam-5435	516	74	≥	≥	NOUN
ejpam-5435	516	75	ϑ8	ϑ8	NOUN
ejpam-5435	516	76	)	)	PUNCT
ejpam-5435	516	77	where	where	SCONJ
ejpam-5435	516	78	ϑ7	ϑ7	NOUN
ejpam-5435	516	79	=	=	SYM
ejpam-5435	516	80	(	(	PUNCT
ejpam-5435	516	81	α+	α+	X
ejpam-5435	516	82	2β)2	2β)2	NUM
ejpam-5435	516	83	(	(	PUNCT
ejpam-5435	516	84	1−	1−	NUM
ejpam-5435	516	85	λ	λ	NOUN
ejpam-5435	516	86	)	)	PUNCT
ejpam-5435	516	87	2	2	NUM
ejpam-5435	516	88	(	(	PUNCT
ejpam-5435	516	89	α+	α+	X
ejpam-5435	516	90	β	β	X
ejpam-5435	516	91	)	)	PUNCT
ejpam-5435	516	92	(	(	PUNCT
ejpam-5435	516	93	α+	α+	NOUN
ejpam-5435	516	94	3β	3β	NOUN
ejpam-5435	516	95	)	)	PUNCT
ejpam-5435	516	96	(	(	PUNCT
ejpam-5435	516	97	1−	1−	NUM
ejpam-5435	516	98	λ	λ	NOUN
ejpam-5435	516	99	)	)	PUNCT
ejpam-5435	516	100	ϑ8	ϑ8	PROPN
ejpam-5435	516	101	=	=	SYM
ejpam-5435	516	102	(	(	PUNCT
ejpam-5435	516	103	α+	α+	X
ejpam-5435	516	104	2β)2	2β)2	NUM
ejpam-5435	516	105	(	(	PUNCT
ejpam-5435	516	106	2−	2−	NUM
ejpam-5435	516	107	λ	λ	NOUN
ejpam-5435	516	108	)	)	PUNCT
ejpam-5435	516	109	2	2	NUM
ejpam-5435	516	110	(	(	PUNCT
ejpam-5435	516	111	α+	α+	X
ejpam-5435	516	112	β	β	X
ejpam-5435	516	113	)	)	PUNCT
ejpam-5435	516	114	(	(	PUNCT
ejpam-5435	516	115	α+	α+	NOUN
ejpam-5435	516	116	3β	3β	NOUN
ejpam-5435	516	117	)	)	PUNCT
ejpam-5435	516	118	(	(	PUNCT
ejpam-5435	516	119	1−	1−	NUM
ejpam-5435	516	120	λ	λ	NOUN
ejpam-5435	516	121	)	)	PUNCT
ejpam-5435	516	122	.	.	PUNCT
ejpam-5435	517	1	t.	t.	PROPN
ejpam-5435	517	2	m.	m.	PROPN
ejpam-5435	517	3	seoudy	seoudy	PROPN
ejpam-5435	517	4	/	/	SYM
ejpam-5435	517	5	eur	eur	PROPN
ejpam-5435	517	6	.	.	PUNCT
ejpam-5435	518	1	j.	j.	PROPN
ejpam-5435	518	2	pure	pure	PROPN
ejpam-5435	518	3	appl	appl	PROPN
ejpam-5435	518	4	.	.	PROPN
ejpam-5435	518	5	math	math	PROPN
ejpam-5435	518	6	,	,	PUNCT
ejpam-5435	518	7	17	17	NUM
ejpam-5435	518	8	(	(	PUNCT
ejpam-5435	518	9	4	4	NUM
ejpam-5435	518	10	)	)	PUNCT
ejpam-5435	518	11	(	(	PUNCT
ejpam-5435	518	12	2024	2024	NUM
ejpam-5435	518	13	)	)	PUNCT
ejpam-5435	518	14	,	,	PUNCT
ejpam-5435	518	15	3336	3336	NUM
ejpam-5435	518	16	-	-	SYM
ejpam-5435	518	17	3355	3355	NUM
ejpam-5435	518	18	3353	3353	NUM
ejpam-5435	518	19	we	we	PRON
ejpam-5435	518	20	consider	consider	VERB
ejpam-5435	518	21	the	the	DET
ejpam-5435	518	22	fekete	fekete	NOUN
ejpam-5435	518	23	-	-	PUNCT
ejpam-5435	518	24	szegö	szegö	ADJ
ejpam-5435	518	25	problem	problem	NOUN
ejpam-5435	518	26	for	for	ADP
ejpam-5435	518	27	the	the	DET
ejpam-5435	518	28	subclass	subclass	NOUN
ejpam-5435	519	1	skγ	skγ	PROPN
ejpam-5435	520	1	[	[	X
ejpam-5435	520	2	α	α	X
ejpam-5435	520	3	,	,	PUNCT
ejpam-5435	520	4	β;c	β;c	PRON
ejpam-5435	520	5	,	,	PUNCT
ejpam-5435	520	6	d	d	X
ejpam-5435	520	7	]	]	X
ejpam-5435	520	8	with	with	ADP
ejpam-5435	520	9	complex	complex	ADJ
ejpam-5435	520	10	parameter	parameter	NOUN
ejpam-5435	520	11	µ	µ	PROPN
ejpam-5435	520	12	∈	∈	PROPN
ejpam-5435	520	13	c.	c.	NOUN
ejpam-5435	520	14	theorem	theorem	VERB
ejpam-5435	520	15	7	7	NUM
ejpam-5435	520	16	.	.	PUNCT
ejpam-5435	521	1	let	let	VERB
ejpam-5435	521	2	ψ	ψ	X
ejpam-5435	521	3	(	(	PUNCT
ejpam-5435	521	4	ξ	ξ	NOUN
ejpam-5435	521	5	)	)	PUNCT
ejpam-5435	521	6	∈	∈	PROPN
ejpam-5435	522	1	skγ	skγ	PUNCT
ejpam-5435	523	1	[	[	X
ejpam-5435	523	2	α	α	X
ejpam-5435	523	3	,	,	PUNCT
ejpam-5435	523	4	β;c	β;c	PRON
ejpam-5435	523	5	,	,	PUNCT
ejpam-5435	523	6	d	d	X
ejpam-5435	523	7	]	]	PUNCT
ejpam-5435	523	8	and	and	CCONJ
ejpam-5435	523	9	let	let	VERB
ejpam-5435	524	1	µ	µ	PRON
ejpam-5435	524	2	∈	∈	PROPN
ejpam-5435	524	3	c.	c.	PROPN
ejpam-5435	524	4	then,∣∣ρ3	then,∣∣ρ3	PROPN
ejpam-5435	524	5	−	−	PROPN
ejpam-5435	525	1	µρ22	µρ22	PROPN
ejpam-5435	525	2	∣∣	∣∣	NUM
ejpam-5435	525	3	≤	≤	PROPN
ejpam-5435	525	4	(	(	PUNCT
ejpam-5435	525	5	α+β)(c−d	α+β)(c−d	PROPN
ejpam-5435	525	6	)	)	PUNCT
ejpam-5435	525	7	cos	cos	ADP
ejpam-5435	525	8	γ	γ	PROPN
ejpam-5435	525	9	2(α+3β	2(α+3β	NUM
ejpam-5435	525	10	)	)	PUNCT
ejpam-5435	525	11	max	max	PROPN
ejpam-5435	525	12	{	{	PUNCT
ejpam-5435	525	13	1	1	NUM
ejpam-5435	525	14	,	,	PUNCT
ejpam-5435	525	15	∣∣∣d	∣∣∣d	NOUN
ejpam-5435	525	16	+	+	CCONJ
ejpam-5435	525	17	(	(	PUNCT
ejpam-5435	525	18	c	c	PROPN
ejpam-5435	525	19	−d	−d	PROPN
ejpam-5435	525	20	)	)	PUNCT
ejpam-5435	525	21	e−iγ	e−iγ	PROPN
ejpam-5435	525	22	cos	cos	PROPN
ejpam-5435	525	23	γ	γ	PROPN
ejpam-5435	525	24	[	[	PUNCT
ejpam-5435	525	25	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	525	26	)	)	PUNCT
ejpam-5435	525	27	(	(	PUNCT
ejpam-5435	525	28	α+2β)2	α+2β)2	NOUN
ejpam-5435	525	29	−	−	PROPN
ejpam-5435	525	30	1	1	NUM
ejpam-5435	525	31	]	]	SYM
ejpam-5435	525	32	∣∣∣	∣∣∣	ADJ
ejpam-5435	525	33	}	}	PUNCT
ejpam-5435	525	34	.	.	PUNCT
ejpam-5435	526	1	(	(	PUNCT
ejpam-5435	526	2	52	52	NUM
ejpam-5435	526	3	)	)	PUNCT
ejpam-5435	526	4	proof	proof	NOUN
ejpam-5435	526	5	.	.	PUNCT
ejpam-5435	527	1	assume	assume	VERB
ejpam-5435	527	2	that	that	SCONJ
ejpam-5435	527	3	ψ	ψ	X
ejpam-5435	527	4	(	(	PUNCT
ejpam-5435	527	5	ξ	ξ	NOUN
ejpam-5435	527	6	)	)	PUNCT
ejpam-5435	527	7	∈	∈	PROPN
ejpam-5435	528	1	skγ	skγ	PUNCT
ejpam-5435	529	1	[	[	X
ejpam-5435	529	2	α	α	X
ejpam-5435	529	3	,	,	PUNCT
ejpam-5435	529	4	β;c	β;c	PRON
ejpam-5435	529	5	,	,	PUNCT
ejpam-5435	529	6	d	d	X
ejpam-5435	529	7	]	]	X
ejpam-5435	529	8	.	.	PUNCT
ejpam-5435	530	1	making	make	VERB
ejpam-5435	530	2	use	use	NOUN
ejpam-5435	530	3	of	of	ADP
ejpam-5435	530	4	(	(	PUNCT
ejpam-5435	530	5	47	47	NUM
ejpam-5435	530	6	)	)	PUNCT
ejpam-5435	530	7	and	and	CCONJ
ejpam-5435	530	8	(	(	PUNCT
ejpam-5435	530	9	48	48	NUM
ejpam-5435	530	10	)	)	PUNCT
ejpam-5435	530	11	we	we	PRON
ejpam-5435	530	12	obtain∣∣ρ3	obtain∣∣ρ3	VERB
ejpam-5435	530	13	−	−	PROPN
ejpam-5435	531	1	µρ22	µρ22	PROPN
ejpam-5435	531	2	∣∣	∣∣	NUM
ejpam-5435	531	3	≤	≤	PROPN
ejpam-5435	531	4	(	(	PUNCT
ejpam-5435	531	5	α+β)(c−d	α+β)(c−d	PROPN
ejpam-5435	531	6	)	)	PUNCT
ejpam-5435	531	7	cos	cos	ADP
ejpam-5435	531	8	γ	γ	PROPN
ejpam-5435	531	9	2(α+3β	2(α+3β	NUM
ejpam-5435	531	10	)	)	PUNCT
ejpam-5435	531	11	∣∣∣ω2	∣∣∣ω2	PROPN
ejpam-5435	531	12	−	−	PROPN
ejpam-5435	532	1	(	(	PUNCT
ejpam-5435	532	2	d	d	NOUN
ejpam-5435	532	3	+	+	CCONJ
ejpam-5435	532	4	(	(	PUNCT
ejpam-5435	532	5	c	c	PROPN
ejpam-5435	532	6	−d	−d	PROPN
ejpam-5435	532	7	)	)	PUNCT
ejpam-5435	532	8	e−iγ	e−iγ	PROPN
ejpam-5435	532	9	cos	cos	PROPN
ejpam-5435	532	10	γ	γ	PROPN
ejpam-5435	532	11	[	[	PUNCT
ejpam-5435	532	12	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	532	13	)	)	PUNCT
ejpam-5435	532	14	(	(	PUNCT
ejpam-5435	532	15	α+2β)2	α+2β)2	NOUN
ejpam-5435	532	16	−	−	PROPN
ejpam-5435	532	17	1	1	NUM
ejpam-5435	532	18	]	]	PUNCT
ejpam-5435	532	19	)	)	PUNCT
ejpam-5435	533	1	ω2	ω2	CCONJ
ejpam-5435	533	2	1	1	NUM
ejpam-5435	533	3	∣∣∣	∣∣∣	NOUN
ejpam-5435	533	4	the	the	DET
ejpam-5435	533	5	inequality	inequality	NOUN
ejpam-5435	533	6	(	(	PUNCT
ejpam-5435	533	7	52	52	NUM
ejpam-5435	533	8	)	)	PUNCT
ejpam-5435	533	9	follows	follow	VERB
ejpam-5435	533	10	as	as	ADP
ejpam-5435	533	11	an	an	DET
ejpam-5435	533	12	application	application	NOUN
ejpam-5435	533	13	of	of	ADP
ejpam-5435	533	14	lemma	lemma	PROPN
ejpam-5435	533	15	2	2	NUM
ejpam-5435	533	16	with	with	ADP
ejpam-5435	533	17	ν	ν	X
ejpam-5435	533	18	=	=	SYM
ejpam-5435	533	19	d	d	PROPN
ejpam-5435	533	20	+	+	CCONJ
ejpam-5435	533	21	(	(	PUNCT
ejpam-5435	533	22	c	c	PROPN
ejpam-5435	533	23	−d	−d	PROPN
ejpam-5435	533	24	)	)	PUNCT
ejpam-5435	533	25	e−iγ	e−iγ	PROPN
ejpam-5435	533	26	cos	cos	PROPN
ejpam-5435	533	27	γ	γ	PROPN
ejpam-5435	533	28	[	[	PUNCT
ejpam-5435	533	29	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	533	30	)	)	PUNCT
ejpam-5435	533	31	(	(	PUNCT
ejpam-5435	533	32	α+2β)2	α+2β)2	NOUN
ejpam-5435	533	33	−	−	PROPN
ejpam-5435	533	34	1	1	NUM
ejpam-5435	533	35	]	]	PUNCT
ejpam-5435	533	36	.	.	PUNCT
ejpam-5435	534	1	for	for	ADP
ejpam-5435	534	2	γ	γ	X
ejpam-5435	534	3	=	=	SYM
ejpam-5435	534	4	0	0	NUM
ejpam-5435	534	5	in	in	ADP
ejpam-5435	534	6	theorem	theorem	NOUN
ejpam-5435	534	7	7	7	NUM
ejpam-5435	534	8	,	,	PUNCT
ejpam-5435	534	9	we	we	PRON
ejpam-5435	534	10	obtain	obtain	VERB
ejpam-5435	534	11	corollary	corollary	ADJ
ejpam-5435	534	12	26	26	NUM
ejpam-5435	534	13	.	.	PUNCT
ejpam-5435	535	1	let	let	VERB
ejpam-5435	535	2	ψ	ψ	X
ejpam-5435	535	3	(	(	PUNCT
ejpam-5435	535	4	ξ	ξ	NOUN
ejpam-5435	535	5	)	)	PUNCT
ejpam-5435	535	6	∈	∈	NOUN
ejpam-5435	535	7	sk	sk	X
ejpam-5435	536	1	[	[	X
ejpam-5435	536	2	α	α	X
ejpam-5435	536	3	,	,	PUNCT
ejpam-5435	536	4	β;c	β;c	PRON
ejpam-5435	536	5	,	,	PUNCT
ejpam-5435	536	6	d	d	X
ejpam-5435	536	7	]	]	PUNCT
ejpam-5435	536	8	and	and	CCONJ
ejpam-5435	536	9	let	let	VERB
ejpam-5435	537	1	µ	µ	PRON
ejpam-5435	537	2	∈	∈	PROPN
ejpam-5435	537	3	c.	c.	PROPN
ejpam-5435	537	4	then,∣∣ρ3	then,∣∣ρ3	PROPN
ejpam-5435	537	5	−	−	PROPN
ejpam-5435	538	1	µρ22	µρ22	PROPN
ejpam-5435	538	2	∣∣	∣∣	NUM
ejpam-5435	538	3	≤	≤	PROPN
ejpam-5435	538	4	(	(	PUNCT
ejpam-5435	538	5	α+β)(c−d	α+β)(c−d	PROPN
ejpam-5435	538	6	)	)	PUNCT
ejpam-5435	538	7	2(α+3β	2(α+3β	NUM
ejpam-5435	538	8	)	)	PUNCT
ejpam-5435	538	9	max	max	PROPN
ejpam-5435	538	10	{	{	PUNCT
ejpam-5435	538	11	1	1	NUM
ejpam-5435	538	12	,	,	PUNCT
ejpam-5435	538	13	∣∣∣d	∣∣∣d	NOUN
ejpam-5435	538	14	+	+	CCONJ
ejpam-5435	538	15	(	(	PUNCT
ejpam-5435	538	16	c	c	PROPN
ejpam-5435	538	17	−d	−d	PROPN
ejpam-5435	538	18	)	)	PUNCT
ejpam-5435	539	1	[	[	PUNCT
ejpam-5435	539	2	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	539	3	)	)	PUNCT
ejpam-5435	539	4	(	(	PUNCT
ejpam-5435	539	5	α+2β)2	α+2β)2	NOUN
ejpam-5435	539	6	−	−	PROPN
ejpam-5435	539	7	1	1	NUM
ejpam-5435	539	8	]	]	SYM
ejpam-5435	539	9	∣∣∣	∣∣∣	NOUN
ejpam-5435	539	10	}	}	PUNCT
ejpam-5435	539	11	.	.	PUNCT
ejpam-5435	540	1	taking	take	VERB
ejpam-5435	540	2	β	β	NOUN
ejpam-5435	540	3	=	=	SYM
ejpam-5435	540	4	0	0	PUNCT
ejpam-5435	540	5	in	in	ADP
ejpam-5435	540	6	theorem	theorem	NOUN
ejpam-5435	540	7	7	7	NUM
ejpam-5435	540	8	,	,	PUNCT
ejpam-5435	540	9	we	we	PRON
ejpam-5435	540	10	obtain	obtain	VERB
ejpam-5435	540	11	corollary	corollary	ADJ
ejpam-5435	540	12	27	27	NUM
ejpam-5435	540	13	.	.	PUNCT
ejpam-5435	541	1	let	let	VERB
ejpam-5435	541	2	ψ	ψ	X
ejpam-5435	541	3	(	(	PUNCT
ejpam-5435	541	4	ξ	ξ	NOUN
ejpam-5435	541	5	)	)	PUNCT
ejpam-5435	541	6	∈	∈	NOUN
ejpam-5435	541	7	sγ	sγ	VERB
ejpam-5435	542	1	[	[	X
ejpam-5435	542	2	c	c	X
ejpam-5435	542	3	,	,	PUNCT
ejpam-5435	542	4	d	d	X
ejpam-5435	542	5	]	]	PUNCT
ejpam-5435	542	6	and	and	CCONJ
ejpam-5435	542	7	let	let	VERB
ejpam-5435	543	1	µ	µ	PRON
ejpam-5435	543	2	∈	∈	PROPN
ejpam-5435	543	3	c.	c.	PROPN
ejpam-5435	543	4	then,∣∣ρ3	then,∣∣ρ3	PROPN
ejpam-5435	544	1	−	−	PROPN
ejpam-5435	545	1	µρ22	µρ22	PROPN
ejpam-5435	545	2	∣∣	∣∣	NUM
ejpam-5435	545	3	≤	≤	PROPN
ejpam-5435	545	4	(	(	PUNCT
ejpam-5435	545	5	c−d	c−d	NOUN
ejpam-5435	545	6	)	)	PUNCT
ejpam-5435	545	7	cos	cos	ADP
ejpam-5435	545	8	γ	γ	PROPN
ejpam-5435	545	9	2	2	NUM
ejpam-5435	545	10	max	max	PROPN
ejpam-5435	545	11	{	{	PUNCT
ejpam-5435	545	12	1	1	NUM
ejpam-5435	545	13	,	,	PUNCT
ejpam-5435	545	14	∣∣d	∣∣d	NOUN
ejpam-5435	545	15	+	+	CCONJ
ejpam-5435	545	16	(	(	PUNCT
ejpam-5435	545	17	c	c	PROPN
ejpam-5435	545	18	−d	−d	PROPN
ejpam-5435	545	19	)	)	PUNCT
ejpam-5435	545	20	e−iγ	e−iγ	PROPN
ejpam-5435	545	21	cos	cos	PROPN
ejpam-5435	545	22	γ	γ	X
ejpam-5435	545	23	(	(	PUNCT
ejpam-5435	545	24	2µ−	2µ−	NUM
ejpam-5435	545	25	1	1	NUM
ejpam-5435	545	26	)	)	PUNCT
ejpam-5435	545	27	∣∣	∣∣	NUM
ejpam-5435	545	28	}	}	PUNCT
ejpam-5435	545	29	.	.	PUNCT
ejpam-5435	546	1	taking	take	VERB
ejpam-5435	546	2	α	α	NOUN
ejpam-5435	546	3	=	=	SYM
ejpam-5435	546	4	0	0	NUM
ejpam-5435	546	5	in	in	ADP
ejpam-5435	546	6	theorem	theorem	NOUN
ejpam-5435	546	7	7	7	NUM
ejpam-5435	546	8	,	,	PUNCT
ejpam-5435	546	9	we	we	PRON
ejpam-5435	546	10	obtain	obtain	VERB
ejpam-5435	546	11	corollary	corollary	ADJ
ejpam-5435	546	12	28	28	NUM
ejpam-5435	546	13	.	.	PUNCT
ejpam-5435	547	1	let	let	VERB
ejpam-5435	547	2	ψ	ψ	X
ejpam-5435	547	3	(	(	PUNCT
ejpam-5435	547	4	ξ	ξ	NOUN
ejpam-5435	547	5	)	)	PUNCT
ejpam-5435	547	6	∈	∈	PROPN
ejpam-5435	547	7	kγ	kγ	X
ejpam-5435	548	1	[	[	X
ejpam-5435	548	2	c	c	X
ejpam-5435	548	3	,	,	PUNCT
ejpam-5435	548	4	d	d	X
ejpam-5435	548	5	]	]	PUNCT
ejpam-5435	548	6	and	and	CCONJ
ejpam-5435	548	7	let	let	VERB
ejpam-5435	548	8	µ	µ	PRON
ejpam-5435	548	9	∈	∈	PROPN
ejpam-5435	548	10	c.	c.	PROPN
ejpam-5435	548	11	then,∣∣ρ3	then,∣∣ρ3	PROPN
ejpam-5435	549	1	−	−	PROPN
ejpam-5435	550	1	µρ22	µρ22	PROPN
ejpam-5435	550	2	∣∣	∣∣	NUM
ejpam-5435	550	3	≤	≤	PROPN
ejpam-5435	550	4	(	(	PUNCT
ejpam-5435	550	5	c−d	c−d	NOUN
ejpam-5435	550	6	)	)	PUNCT
ejpam-5435	550	7	cos	cos	ADP
ejpam-5435	550	8	γ	γ	PROPN
ejpam-5435	550	9	6	6	NUM
ejpam-5435	550	10	max	max	PROPN
ejpam-5435	550	11	{	{	PUNCT
ejpam-5435	550	12	1	1	NUM
ejpam-5435	550	13	,	,	PUNCT
ejpam-5435	550	14	∣∣d	∣∣d	NOUN
ejpam-5435	550	15	+	+	CCONJ
ejpam-5435	550	16	(	(	PUNCT
ejpam-5435	550	17	c	c	PROPN
ejpam-5435	550	18	−d	−d	PROPN
ejpam-5435	550	19	)	)	PUNCT
ejpam-5435	550	20	e−iγ	e−iγ	PROPN
ejpam-5435	550	21	cos	cos	PROPN
ejpam-5435	550	22	γ	γ	X
ejpam-5435	550	23	(	(	PUNCT
ejpam-5435	550	24	3	3	NUM
ejpam-5435	550	25	2µ−	2µ−	NUM
ejpam-5435	550	26	1	1	NUM
ejpam-5435	550	27	)	)	PUNCT
ejpam-5435	550	28	∣∣	∣∣	X
ejpam-5435	550	29	}	}	PUNCT
ejpam-5435	550	30	.	.	PUNCT
ejpam-5435	551	1	taking	take	VERB
ejpam-5435	551	2	c	c	NOUN
ejpam-5435	551	3	=	=	SYM
ejpam-5435	551	4	1−	1−	NUM
ejpam-5435	551	5	2λ	2λ	NUM
ejpam-5435	551	6	(	(	PUNCT
ejpam-5435	551	7	0	0	NUM
ejpam-5435	551	8	≤	≤	NUM
ejpam-5435	551	9	λ	λ	X
ejpam-5435	551	10	<	<	X
ejpam-5435	551	11	1	1	NUM
ejpam-5435	551	12	)	)	PUNCT
ejpam-5435	551	13	and	and	CCONJ
ejpam-5435	551	14	d	d	NOUN
ejpam-5435	551	15	=	=	SYM
ejpam-5435	551	16	−1	−1	NOUN
ejpam-5435	551	17	in	in	ADP
ejpam-5435	551	18	theorem	theorem	NOUN
ejpam-5435	551	19	6	6	NUM
ejpam-5435	551	20	,	,	PUNCT
ejpam-5435	551	21	we	we	PRON
ejpam-5435	551	22	obtain	obtain	VERB
ejpam-5435	551	23	corollary	corollary	ADJ
ejpam-5435	551	24	29	29	NUM
ejpam-5435	551	25	.	.	PUNCT
ejpam-5435	552	1	let	let	VERB
ejpam-5435	552	2	ψ	ψ	X
ejpam-5435	552	3	(	(	PUNCT
ejpam-5435	552	4	ξ	ξ	NOUN
ejpam-5435	552	5	)	)	PUNCT
ejpam-5435	552	6	∈	∈	PROPN
ejpam-5435	552	7	skγ	skγ	NOUN
ejpam-5435	552	8	(	(	PUNCT
ejpam-5435	552	9	α	α	NOUN
ejpam-5435	552	10	,	,	PUNCT
ejpam-5435	552	11	β;λ	β;λ	PUNCT
ejpam-5435	552	12	)	)	PUNCT
ejpam-5435	552	13	and	and	CCONJ
ejpam-5435	552	14	let	let	VERB
ejpam-5435	552	15	µ	µ	PRON
ejpam-5435	552	16	∈	∈	PROPN
ejpam-5435	552	17	c.	c.	PROPN
ejpam-5435	552	18	then,∣∣ρ3	then,∣∣ρ3	PROPN
ejpam-5435	553	1	−	−	PROPN
ejpam-5435	554	1	µρ22	µρ22	PROPN
ejpam-5435	554	2	∣∣	∣∣	NUM
ejpam-5435	554	3	≤	≤	PROPN
ejpam-5435	554	4	(	(	PUNCT
ejpam-5435	554	5	α+β)(1−λ	α+β)(1−λ	PROPN
ejpam-5435	554	6	)	)	PUNCT
ejpam-5435	554	7	cos	cos	SCONJ
ejpam-5435	554	8	γ	γ	X
ejpam-5435	554	9	(	(	PUNCT
ejpam-5435	554	10	α+3β	α+3β	PROPN
ejpam-5435	554	11	)	)	PUNCT
ejpam-5435	554	12	max	max	NOUN
ejpam-5435	554	13	{	{	PUNCT
ejpam-5435	554	14	1	1	NUM
ejpam-5435	554	15	,	,	PUNCT
ejpam-5435	554	16	∣∣∣−1	∣∣∣−1	VERB
ejpam-5435	554	17	+	+	X
ejpam-5435	554	18	2	2	NUM
ejpam-5435	554	19	(	(	PUNCT
ejpam-5435	554	20	1−	1−	NUM
ejpam-5435	554	21	λ	λ	NOUN
ejpam-5435	554	22	)	)	PUNCT
ejpam-5435	554	23	e−iγ	e−iγ	NOUN
ejpam-5435	554	24	cos	cos	PROPN
ejpam-5435	554	25	γ	γ	PROPN
ejpam-5435	554	26	[	[	PUNCT
ejpam-5435	554	27	2µ(α+β)(α+3β	2µ(α+β)(α+3β	NUM
ejpam-5435	554	28	)	)	PUNCT
ejpam-5435	554	29	(	(	PUNCT
ejpam-5435	554	30	α+2β)2	α+2β)2	NOUN
ejpam-5435	554	31	−	−	PROPN
ejpam-5435	554	32	1	1	NUM
ejpam-5435	554	33	]	]	SYM
ejpam-5435	554	34	∣∣∣	∣∣∣	ADJ
ejpam-5435	554	35	}	}	PUNCT
ejpam-5435	554	36	.	.	PUNCT
ejpam-5435	555	1	6	6	X
ejpam-5435	555	2	.	.	X
ejpam-5435	555	3	conclusions	conclusion	NOUN
ejpam-5435	555	4	in	in	ADP
ejpam-5435	555	5	our	our	PRON
ejpam-5435	555	6	present	present	ADJ
ejpam-5435	555	7	investigation	investigation	NOUN
ejpam-5435	555	8	,	,	PUNCT
ejpam-5435	555	9	we	we	PRON
ejpam-5435	555	10	have	have	AUX
ejpam-5435	555	11	defined	define	VERB
ejpam-5435	555	12	a	a	DET
ejpam-5435	555	13	general	general	ADJ
ejpam-5435	555	14	subclass	subclass	NOUN
ejpam-5435	556	1	skγ	skγ	PROPN
ejpam-5435	557	1	[	[	X
ejpam-5435	557	2	α	α	X
ejpam-5435	557	3	,	,	PUNCT
ejpam-5435	557	4	β;c	β;c	PRON
ejpam-5435	557	5	,	,	PUNCT
ejpam-5435	557	6	d	d	X
ejpam-5435	557	7	]	]	PUNCT
ejpam-5435	557	8	of	of	ADP
ejpam-5435	557	9	spirallike	spirallike	NOUN
ejpam-5435	557	10	and	and	CCONJ
ejpam-5435	557	11	robertson	robertson	PROPN
ejpam-5435	557	12	analytic	analytic	ADJ
ejpam-5435	557	13	functions	function	NOUN
ejpam-5435	557	14	.	.	PUNCT
ejpam-5435	558	1	for	for	ADP
ejpam-5435	558	2	functions	function	NOUN
ejpam-5435	558	3	belonging	belong	VERB
ejpam-5435	558	4	to	to	ADP
ejpam-5435	558	5	this	this	DET
ejpam-5435	558	6	subclass	subclass	NOUN
ejpam-5435	558	7	,	,	PUNCT
ejpam-5435	558	8	we	we	PRON
ejpam-5435	558	9	have	have	AUX
ejpam-5435	558	10	derived	derive	VERB
ejpam-5435	558	11	some	some	DET
ejpam-5435	558	12	interesting	interesting	ADJ
ejpam-5435	558	13	results	result	NOUN
ejpam-5435	558	14	such	such	ADJ
ejpam-5435	558	15	as	as	ADP
ejpam-5435	558	16	convolution	convolution	NOUN
ejpam-5435	558	17	properties	property	NOUN
ejpam-5435	558	18	,	,	PUNCT
ejpam-5435	558	19	membership	membership	NOUN
ejpam-5435	558	20	characterizations	characterization	NOUN
ejpam-5435	558	21	,	,	PUNCT
ejpam-5435	558	22	coefficient	coefficient	NOUN
ejpam-5435	558	23	estimates	estimate	NOUN
ejpam-5435	558	24	,	,	PUNCT
ejpam-5435	558	25	subordination	subordination	NOUN
ejpam-5435	558	26	result	result	NOUN
ejpam-5435	558	27	and	and	CCONJ
ejpam-5435	558	28	the	the	DET
ejpam-5435	558	29	fekete	fekete	PROPN
ejpam-5435	558	30	-	-	PUNCT
ejpam-5435	558	31	szegö	szegö	PROPN
ejpam-5435	558	32	estimates	estimate	NOUN
ejpam-5435	558	33	.	.	PUNCT
ejpam-5435	559	1	furthermore	furthermore	ADV
ejpam-5435	559	2	,	,	PUNCT
ejpam-5435	559	3	interesting	interesting	ADJ
ejpam-5435	559	4	corollaries	corollary	NOUN
ejpam-5435	559	5	and	and	CCONJ
ejpam-5435	559	6	particular	particular	ADJ
ejpam-5435	559	7	cases	case	NOUN
ejpam-5435	559	8	are	be	AUX
ejpam-5435	559	9	shown	show	VERB
ejpam-5435	559	10	for	for	ADP
ejpam-5435	559	11	each	each	PRON
ejpam-5435	559	12	of	of	ADP
ejpam-5435	559	13	those	those	DET
ejpam-5435	559	14	results	result	NOUN
ejpam-5435	559	15	for	for	ADP
ejpam-5435	559	16	particular	particular	ADJ
ejpam-5435	559	17	choices	choice	NOUN
ejpam-5435	559	18	of	of	ADP
ejpam-5435	559	19	parameters	parameter	NOUN
ejpam-5435	559	20	found	find	VERB
ejpam-5435	559	21	in	in	ADP
ejpam-5435	559	22	the	the	DET
ejpam-5435	559	23	definition	definition	NOUN
ejpam-5435	559	24	of	of	ADP
ejpam-5435	559	25	this	this	DET
ejpam-5435	559	26	subclass	subclass	NOUN
ejpam-5435	559	27	.	.	PUNCT
ejpam-5435	560	1	our	our	PRON
ejpam-5435	560	2	results	result	NOUN
ejpam-5435	560	3	are	be	AUX
ejpam-5435	560	4	connected	connect	VERB
ejpam-5435	560	5	with	with	ADP
ejpam-5435	560	6	those	those	PRON
ejpam-5435	560	7	in	in	ADP
ejpam-5435	560	8	several	several	ADJ
ejpam-5435	560	9	earlier	early	ADJ
ejpam-5435	560	10	works	work	NOUN
ejpam-5435	560	11	,	,	PUNCT
ejpam-5435	560	12	which	which	PRON
ejpam-5435	560	13	are	be	AUX
ejpam-5435	560	14	related	relate	VERB
ejpam-5435	560	15	to	to	ADP
ejpam-5435	560	16	the	the	DET
ejpam-5435	560	17	geometric	geometric	ADJ
ejpam-5435	560	18	function	function	NOUN
ejpam-5435	560	19	theory	theory	NOUN
ejpam-5435	560	20	.	.	PUNCT
ejpam-5435	561	1	moreover	moreover	ADV
ejpam-5435	561	2	,	,	PUNCT
ejpam-5435	561	3	these	these	DET
ejpam-5435	561	4	results	result	NOUN
ejpam-5435	561	5	can	can	AUX
ejpam-5435	561	6	be	be	AUX
ejpam-5435	561	7	extended	extend	VERB
ejpam-5435	561	8	to	to	ADP
ejpam-5435	561	9	multivalent	multivalent	NOUN
ejpam-5435	561	10	functions	function	NOUN
ejpam-5435	561	11	and	and	CCONJ
ejpam-5435	561	12	meromophic	meromophic	ADJ
ejpam-5435	561	13	functions	function	NOUN
ejpam-5435	561	14	.	.	PUNCT
ejpam-5435	562	1	references	reference	NOUN
ejpam-5435	562	2	3354	3354	NUM
ejpam-5435	562	3	references	reference	NOUN
ejpam-5435	562	4	[	[	X
ejpam-5435	562	5	1	1	NUM
ejpam-5435	562	6	]	]	PUNCT
ejpam-5435	562	7	o	o	X
ejpam-5435	562	8	p	p	PROPN
ejpam-5435	562	9	ahuja	ahuja	PROPN
ejpam-5435	562	10	.	.	PUNCT
ejpam-5435	563	1	families	family	NOUN
ejpam-5435	563	2	of	of	ADP
ejpam-5435	563	3	analytic	analytic	ADJ
ejpam-5435	563	4	functions	function	NOUN
ejpam-5435	563	5	related	relate	VERB
ejpam-5435	563	6	to	to	ADP
ejpam-5435	563	7	ruscheweyh	ruscheweyh	VERB
ejpam-5435	563	8	derivatives	derivative	NOUN
ejpam-5435	563	9	and	and	CCONJ
ejpam-5435	563	10	subordinate	subordinate	VERB
ejpam-5435	563	11	to	to	ADP
ejpam-5435	563	12	convex	convex	NOUN
ejpam-5435	563	13	functions	function	NOUN
ejpam-5435	563	14	.	.	PUNCT
ejpam-5435	564	1	yokohama	yokohama	PROPN
ejpam-5435	564	2	math	math	PROPN
ejpam-5435	564	3	.	.	PUNCT
ejpam-5435	564	4	,	,	PUNCT
ejpam-5435	564	5	41:39–50	41:39–50	PROPN
ejpam-5435	564	6	,	,	PUNCT
ejpam-5435	564	7	1993	1993	NUM
ejpam-5435	564	8	.	.	PUNCT
ejpam-5435	565	1	[	[	X
ejpam-5435	565	2	2	2	NUM
ejpam-5435	565	3	]	]	X
ejpam-5435	565	4	m	m	VERB
ejpam-5435	565	5	k	k	PROPN
ejpam-5435	565	6	aouf	aouf	PROPN
ejpam-5435	565	7	and	and	CCONJ
ejpam-5435	565	8	t	t	PROPN
ejpam-5435	565	9	m	m	PROPN
ejpam-5435	565	10	seoudy	seoudy	PROPN
ejpam-5435	565	11	.	.	PUNCT
ejpam-5435	566	1	classes	class	NOUN
ejpam-5435	566	2	of	of	ADP
ejpam-5435	566	3	analytic	analytic	ADJ
ejpam-5435	566	4	functions	function	NOUN
ejpam-5435	566	5	related	relate	VERB
ejpam-5435	566	6	to	to	ADP
ejpam-5435	566	7	the	the	DET
ejpam-5435	566	8	dzioksrivastava	dzioksrivastava	NOUN
ejpam-5435	566	9	operator	operator	NOUN
ejpam-5435	566	10	.	.	PUNCT
ejpam-5435	567	1	integral	integral	ADJ
ejpam-5435	567	2	transforms	transform	VERB
ejpam-5435	567	3	spec	spec	NOUN
ejpam-5435	567	4	.	.	PUNCT
ejpam-5435	568	1	funct	funct	PROPN
ejpam-5435	568	2	.	.	PUNCT
ejpam-5435	568	3	,	,	PUNCT
ejpam-5435	569	1	22(6):423–430	22(6):423–430	PROPN
ejpam-5435	569	2	,	,	PUNCT
ejpam-5435	569	3	2011	2011	NUM
ejpam-5435	569	4	.	.	PUNCT
ejpam-5435	570	1	[	[	X
ejpam-5435	570	2	3	3	X
ejpam-5435	570	3	]	]	X
ejpam-5435	570	4	m	m	VERB
ejpam-5435	570	5	k	k	PROPN
ejpam-5435	570	6	aouf	aouf	PROPN
ejpam-5435	570	7	and	and	CCONJ
ejpam-5435	570	8	t	t	PROPN
ejpam-5435	570	9	m	m	PROPN
ejpam-5435	570	10	seoudy	seoudy	PROPN
ejpam-5435	570	11	.	.	PUNCT
ejpam-5435	571	1	fekete	fekete	PROPN
ejpam-5435	571	2	–	–	PUNCT
ejpam-5435	571	3	szegö	szegö	VERB
ejpam-5435	571	4	problem	problem	NOUN
ejpam-5435	571	5	for	for	ADP
ejpam-5435	571	6	certain	certain	ADJ
ejpam-5435	571	7	subclass	subclass	NOUN
ejpam-5435	571	8	of	of	ADP
ejpam-5435	571	9	analytic	analytic	ADJ
ejpam-5435	571	10	functions	function	NOUN
ejpam-5435	571	11	with	with	ADP
ejpam-5435	571	12	complex	complex	ADJ
ejpam-5435	571	13	order	order	NOUN
ejpam-5435	571	14	defined	define	VERB
ejpam-5435	571	15	by	by	ADP
ejpam-5435	571	16	q	q	NOUN
ejpam-5435	571	17	–	–	PUNCT
ejpam-5435	571	18	analogue	analogue	NOUN
ejpam-5435	571	19	of	of	ADP
ejpam-5435	571	20	ruscheweyh	ruscheweyh	NOUN
ejpam-5435	571	21	operator	operator	NOUN
ejpam-5435	571	22	.	.	PUNCT
ejpam-5435	572	1	constructive	constructive	ADJ
ejpam-5435	572	2	math	math	NOUN
ejpam-5435	572	3	.	.	PUNCT
ejpam-5435	573	1	anal	anal	PROPN
ejpam-5435	573	2	.	.	PROPN
ejpam-5435	573	3	,	,	PUNCT
ejpam-5435	573	4	3(1):36–44	3(1):36–44	NUM
ejpam-5435	573	5	,	,	PUNCT
ejpam-5435	573	6	2020	2020	NUM
ejpam-5435	573	7	.	.	PUNCT
ejpam-5435	574	1	[	[	X
ejpam-5435	574	2	4	4	NUM
ejpam-5435	574	3	]	]	SYM
ejpam-5435	574	4	s	s	X
ejpam-5435	574	5	s	s	NOUN
ejpam-5435	574	6	bhoosnurmath	bhoosnurmath	NOUN
ejpam-5435	574	7	and	and	CCONJ
ejpam-5435	574	8	m	m	PROPN
ejpam-5435	574	9	v	v	X
ejpam-5435	574	10	devadas	devadas	PROPN
ejpam-5435	574	11	.	.	PUNCT
ejpam-5435	575	1	subclasses	subclass	NOUN
ejpam-5435	575	2	of	of	ADP
ejpam-5435	575	3	spirallike	spirallike	ADJ
ejpam-5435	575	4	functions	function	NOUN
ejpam-5435	575	5	defined	define	VERB
ejpam-5435	575	6	by	by	ADP
ejpam-5435	575	7	subordination	subordination	NOUN
ejpam-5435	575	8	.	.	PUNCT
ejpam-5435	576	1	j.	j.	PROPN
ejpam-5435	576	2	of	of	ADP
ejpam-5435	576	3	analysis	analysis	NOUN
ejpam-5435	576	4	,	,	PUNCT
ejpam-5435	576	5	madras	madra	NOUN
ejpam-5435	576	6	,	,	PUNCT
ejpam-5435	576	7	4:173–183	4:173–183	NOUN
ejpam-5435	576	8	,	,	PUNCT
ejpam-5435	576	9	1996	1996	NUM
ejpam-5435	576	10	.	.	PUNCT
ejpam-5435	577	1	[	[	X
ejpam-5435	577	2	5	5	NUM
ejpam-5435	577	3	]	]	SYM
ejpam-5435	577	4	s	s	X
ejpam-5435	577	5	s	s	NOUN
ejpam-5435	577	6	bhoosnurmath	bhoosnurmath	NOUN
ejpam-5435	577	7	and	and	CCONJ
ejpam-5435	577	8	m	m	PROPN
ejpam-5435	577	9	v	v	X
ejpam-5435	577	10	devadas	devadas	PROPN
ejpam-5435	577	11	.	.	PUNCT
ejpam-5435	578	1	subclasses	subclass	NOUN
ejpam-5435	578	2	of	of	ADP
ejpam-5435	578	3	spirallike	spirallike	ADJ
ejpam-5435	578	4	functions	function	NOUN
ejpam-5435	578	5	defined	define	VERB
ejpam-5435	578	6	by	by	ADP
ejpam-5435	578	7	ruschweyh	ruschweyh	NOUN
ejpam-5435	578	8	derivatives	derivative	NOUN
ejpam-5435	578	9	.	.	PUNCT
ejpam-5435	579	1	tamkang	tamkang	PROPN
ejpam-5435	579	2	j.	j.	PROPN
ejpam-5435	579	3	math	math	PROPN
ejpam-5435	579	4	.	.	PUNCT
ejpam-5435	579	5	,	,	PUNCT
ejpam-5435	579	6	28:59–65	28:59–65	NUM
ejpam-5435	579	7	,	,	PUNCT
ejpam-5435	579	8	1997	1997	NUM
ejpam-5435	579	9	.	.	PUNCT
ejpam-5435	580	1	[	[	X
ejpam-5435	580	2	6	6	NUM
ejpam-5435	580	3	]	]	PUNCT
ejpam-5435	580	4	t	t	PROPN
ejpam-5435	580	5	bulboacă.	bulboacă.	PROPN
ejpam-5435	580	6	differential	differential	NOUN
ejpam-5435	580	7	subordinations	subordination	NOUN
ejpam-5435	580	8	and	and	CCONJ
ejpam-5435	580	9	superordinations	superordination	NOUN
ejpam-5435	580	10	,	,	PUNCT
ejpam-5435	580	11	recent	recent	ADJ
ejpam-5435	580	12	results	result	NOUN
ejpam-5435	580	13	.	.	PUNCT
ejpam-5435	581	1	house	house	NOUN
ejpam-5435	581	2	of	of	ADP
ejpam-5435	581	3	scientific	scientific	ADJ
ejpam-5435	581	4	book	book	NOUN
ejpam-5435	581	5	publ	publ	NOUN
ejpam-5435	581	6	.	.	PUNCT
ejpam-5435	581	7	,	,	PUNCT
ejpam-5435	581	8	cluj	cluj	NOUN
ejpam-5435	581	9	-	-	PUNCT
ejpam-5435	581	10	napoca	napoca	NOUN
ejpam-5435	581	11	,	,	PUNCT
ejpam-5435	581	12	2005	2005	NUM
ejpam-5435	581	13	.	.	PUNCT
ejpam-5435	582	1	[	[	X
ejpam-5435	582	2	7	7	X
ejpam-5435	582	3	]	]	X
ejpam-5435	582	4	r	r	NOUN
ejpam-5435	582	5	m	m	VERB
ejpam-5435	582	6	goel	goel	NOUN
ejpam-5435	582	7	and	and	CCONJ
ejpam-5435	582	8	b	b	X
ejpam-5435	582	9	s	s	X
ejpam-5435	582	10	mehrok	mehrok	NOUN
ejpam-5435	582	11	.	.	PUNCT
ejpam-5435	583	1	on	on	ADP
ejpam-5435	583	2	the	the	DET
ejpam-5435	583	3	coefficients	coefficient	NOUN
ejpam-5435	583	4	of	of	ADP
ejpam-5435	583	5	a	a	DET
ejpam-5435	583	6	subclass	subclass	NOUN
ejpam-5435	583	7	of	of	ADP
ejpam-5435	583	8	starlike	starlike	NOUN
ejpam-5435	583	9	functions	function	NOUN
ejpam-5435	583	10	.	.	PUNCT
ejpam-5435	584	1	indian	indian	PROPN
ejpam-5435	584	2	j.	j.	PROPN
ejpam-5435	584	3	pure	pure	PROPN
ejpam-5435	584	4	appl	appl	PROPN
ejpam-5435	584	5	.	.	PUNCT
ejpam-5435	584	6	math	math	PROPN
ejpam-5435	584	7	.	.	PUNCT
ejpam-5435	584	8	,	,	PUNCT
ejpam-5435	585	1	12:634–647	12:634–647	NUM
ejpam-5435	585	2	,	,	PUNCT
ejpam-5435	585	3	1981	1981	NUM
ejpam-5435	585	4	.	.	PUNCT
ejpam-5435	586	1	[	[	X
ejpam-5435	586	2	8	8	NUM
ejpam-5435	586	3	]	]	SYM
ejpam-5435	586	4	v	v	ADP
ejpam-5435	586	5	p	p	X
ejpam-5435	586	6	gupta	gupta	PROPN
ejpam-5435	586	7	and	and	CCONJ
ejpam-5435	586	8	p	p	PROPN
ejpam-5435	586	9	k	k	PROPN
ejpam-5435	586	10	jain	jain	PROPN
ejpam-5435	586	11	.	.	PUNCT
ejpam-5435	587	1	certain	certain	ADJ
ejpam-5435	587	2	classes	class	NOUN
ejpam-5435	587	3	of	of	ADP
ejpam-5435	587	4	univalent	univalent	ADJ
ejpam-5435	587	5	functions	function	NOUN
ejpam-5435	587	6	with	with	ADP
ejpam-5435	587	7	negative	negative	ADJ
ejpam-5435	587	8	coefficients	coefficient	NOUN
ejpam-5435	587	9	ii	ii	PROPN
ejpam-5435	587	10	.	.	PUNCT
ejpam-5435	588	1	bull	bull	PROPN
ejpam-5435	588	2	.	.	PUNCT
ejpam-5435	589	1	austral	austral	PROPN
ejpam-5435	589	2	.	.	PUNCT
ejpam-5435	589	3	math	math	NOUN
ejpam-5435	589	4	.	.	PUNCT
ejpam-5435	590	1	soc	soc	PROPN
ejpam-5435	590	2	.	.	PUNCT
ejpam-5435	590	3	,	,	PUNCT
ejpam-5435	590	4	15(3):467–473	15(3):467–473	PROPN
ejpam-5435	590	5	,	,	PUNCT
ejpam-5435	590	6	1976	1976	NUM
ejpam-5435	590	7	.	.	PUNCT
ejpam-5435	591	1	[	[	X
ejpam-5435	591	2	9	9	NUM
ejpam-5435	591	3	]	]	PUNCT
ejpam-5435	591	4	w	w	PROPN
ejpam-5435	591	5	janowski	janowski	NOUN
ejpam-5435	591	6	.	.	PUNCT
ejpam-5435	592	1	some	some	DET
ejpam-5435	592	2	extremal	extremal	ADJ
ejpam-5435	592	3	problems	problem	NOUN
ejpam-5435	592	4	for	for	ADP
ejpam-5435	592	5	certain	certain	ADJ
ejpam-5435	592	6	families	family	NOUN
ejpam-5435	592	7	of	of	ADP
ejpam-5435	592	8	analytic	analytic	ADJ
ejpam-5435	592	9	functions	function	NOUN
ejpam-5435	592	10	.	.	PUNCT
ejpam-5435	593	1	bull	bull	NOUN
ejpam-5435	593	2	.	.	PUNCT
ejpam-5435	594	1	polish	polish	PROPN
ejpam-5435	594	2	acad	acad	PROPN
ejpam-5435	594	3	.	.	PUNCT
ejpam-5435	595	1	sci	sci	PROPN
ejpam-5435	595	2	.	.	PROPN
ejpam-5435	595	3	,	,	PUNCT
ejpam-5435	595	4	21:17–25	21:17–25	NUM
ejpam-5435	595	5	,	,	PUNCT
ejpam-5435	595	6	1973	1973	NUM
ejpam-5435	595	7	.	.	PUNCT
ejpam-5435	596	1	[	[	X
ejpam-5435	596	2	10	10	NUM
ejpam-5435	596	3	]	]	X
ejpam-5435	596	4	w	w	PROPN
ejpam-5435	596	5	janowski	janowski	NOUN
ejpam-5435	596	6	.	.	PUNCT
ejpam-5435	597	1	some	some	DET
ejpam-5435	597	2	extremal	extremal	ADJ
ejpam-5435	597	3	problems	problem	NOUN
ejpam-5435	597	4	for	for	ADP
ejpam-5435	597	5	certain	certain	ADJ
ejpam-5435	597	6	families	family	NOUN
ejpam-5435	597	7	of	of	ADP
ejpam-5435	597	8	analytic	analytic	ADJ
ejpam-5435	597	9	functions	function	NOUN
ejpam-5435	597	10	.	.	PUNCT
ejpam-5435	598	1	ann	ann	PROPN
ejpam-5435	598	2	.	.	PUNCT
ejpam-5435	598	3	polon	polon	PROPN
ejpam-5435	598	4	.	.	PUNCT
ejpam-5435	599	1	math	math	NOUN
ejpam-5435	599	2	.	.	PUNCT
ejpam-5435	599	3	,	,	PUNCT
ejpam-5435	600	1	28:297–326	28:297–326	NUM
ejpam-5435	600	2	,	,	PUNCT
ejpam-5435	600	3	1973	1973	NUM
ejpam-5435	600	4	.	.	PUNCT
ejpam-5435	601	1	[	[	X
ejpam-5435	601	2	11	11	NUM
ejpam-5435	601	3	]	]	X
ejpam-5435	601	4	f	f	PROPN
ejpam-5435	601	5	r	r	PROPN
ejpam-5435	601	6	keogh	keogh	PROPN
ejpam-5435	601	7	and	and	CCONJ
ejpam-5435	601	8	e	e	NOUN
ejpam-5435	601	9	p	p	NOUN
ejpam-5435	601	10	merkes	merke	NOUN
ejpam-5435	601	11	.	.	PUNCT
ejpam-5435	602	1	a	a	DET
ejpam-5435	602	2	coefficient	coefficient	NOUN
ejpam-5435	602	3	inequality	inequality	NOUN
ejpam-5435	602	4	for	for	ADP
ejpam-5435	602	5	certain	certain	ADJ
ejpam-5435	602	6	classes	class	NOUN
ejpam-5435	602	7	of	of	ADP
ejpam-5435	602	8	analytic	analytic	ADJ
ejpam-5435	602	9	functions	function	NOUN
ejpam-5435	602	10	.	.	PUNCT
ejpam-5435	603	1	proc	proc	NOUN
ejpam-5435	603	2	.	.	PUNCT
ejpam-5435	604	1	amer	amer	PROPN
ejpam-5435	604	2	.	.	PUNCT
ejpam-5435	604	3	math	math	PROPN
ejpam-5435	604	4	.	.	PUNCT
ejpam-5435	605	1	soc	soc	PROPN
ejpam-5435	605	2	.	.	PROPN
ejpam-5435	605	3	,	,	PUNCT
ejpam-5435	605	4	20:8–12	20:8–12	NUM
ejpam-5435	605	5	,	,	PUNCT
ejpam-5435	605	6	1969	1969	NUM
ejpam-5435	605	7	.	.	PUNCT
ejpam-5435	606	1	[	[	X
ejpam-5435	606	2	12	12	NUM
ejpam-5435	606	3	]	]	X
ejpam-5435	606	4	r	r	NOUN
ejpam-5435	606	5	j	j	PROPN
ejpam-5435	606	6	libera	libera	NOUN
ejpam-5435	606	7	.	.	PUNCT
ejpam-5435	607	1	univalent	univalent	ADJ
ejpam-5435	607	2	a	a	DET
ejpam-5435	607	3	-	-	PUNCT
ejpam-5435	607	4	spiral	spiral	ADJ
ejpam-5435	607	5	functions	function	NOUN
ejpam-5435	607	6	.	.	PUNCT
ejpam-5435	608	1	canad	canad	PROPN
ejpam-5435	608	2	.	.	PUNCT
ejpam-5435	609	1	j.	j.	PROPN
ejpam-5435	609	2	math	math	PROPN
ejpam-5435	609	3	.	.	PUNCT
ejpam-5435	609	4	,	,	PUNCT
ejpam-5435	609	5	19:449–456	19:449–456	PROPN
ejpam-5435	609	6	,	,	PUNCT
ejpam-5435	609	7	1967	1967	NUM
ejpam-5435	609	8	.	.	PUNCT
ejpam-5435	610	1	[	[	X
ejpam-5435	610	2	13	13	NUM
ejpam-5435	610	3	]	]	SYM
ejpam-5435	610	4	s	s	PART
ejpam-5435	610	5	s	s	X
ejpam-5435	610	6	miller	miller	NOUN
ejpam-5435	610	7	and	and	CCONJ
ejpam-5435	610	8	p	p	PROPN
ejpam-5435	610	9	t	t	PROPN
ejpam-5435	610	10	mocanu	mocanu	PROPN
ejpam-5435	610	11	.	.	PUNCT
ejpam-5435	611	1	differential	differential	ADJ
ejpam-5435	611	2	subordination	subordination	NOUN
ejpam-5435	611	3	:	:	PUNCT
ejpam-5435	611	4	theory	theory	NOUN
ejpam-5435	611	5	and	and	CCONJ
ejpam-5435	611	6	applications	application	NOUN
ejpam-5435	611	7	,	,	PUNCT
ejpam-5435	611	8	series	series	NOUN
ejpam-5435	611	9	on	on	ADP
ejpam-5435	611	10	monographs	monograph	NOUN
ejpam-5435	611	11	and	and	CCONJ
ejpam-5435	611	12	textbooks	textbook	NOUN
ejpam-5435	611	13	in	in	ADP
ejpam-5435	611	14	pure	pure	ADJ
ejpam-5435	611	15	and	and	CCONJ
ejpam-5435	611	16	applied	applied	ADJ
ejpam-5435	611	17	mathematics	mathematic	NOUN
ejpam-5435	611	18	,	,	PUNCT
ejpam-5435	611	19	vol	vol	NOUN
ejpam-5435	611	20	.	.	PROPN
ejpam-5435	611	21	225	225	NUM
ejpam-5435	611	22	.	.	PUNCT
ejpam-5435	612	1	marcel	marcel	PROPN
ejpam-5435	612	2	dekker	dekker	PROPN
ejpam-5435	612	3	inc	inc	PROPN
ejpam-5435	612	4	.	.	PROPN
ejpam-5435	612	5	,	,	PUNCT
ejpam-5435	612	6	new	new	PROPN
ejpam-5435	612	7	york	york	PROPN
ejpam-5435	612	8	and	and	CCONJ
ejpam-5435	612	9	basel	basel	PROPN
ejpam-5435	612	10	,	,	PUNCT
ejpam-5435	612	11	2000	2000	NUM
ejpam-5435	612	12	.	.	PUNCT
ejpam-5435	613	1	[	[	X
ejpam-5435	613	2	14	14	NUM
ejpam-5435	613	3	]	]	X
ejpam-5435	613	4	z	z	NOUN
ejpam-5435	613	5	nehari	nehari	NOUN
ejpam-5435	613	6	.	.	PUNCT
ejpam-5435	614	1	conformal	conformal	ADJ
ejpam-5435	614	2	mapping	mapping	NOUN
ejpam-5435	614	3	.	.	PUNCT
ejpam-5435	615	1	mcgraw	mcgraw	PROPN
ejpam-5435	615	2	-	-	PUNCT
ejpam-5435	615	3	hill	hill	PROPN
ejpam-5435	615	4	,	,	PUNCT
ejpam-5435	615	5	new	new	ADJ
ejpam-5435	615	6	-	-	PUNCT
ejpam-5435	615	7	york	york	NOUN
ejpam-5435	615	8	,	,	PUNCT
ejpam-5435	615	9	1952	1952	NUM
ejpam-5435	615	10	.	.	PUNCT
ejpam-5435	616	1	[	[	X
ejpam-5435	616	2	15	15	NUM
ejpam-5435	616	3	]	]	X
ejpam-5435	616	4	s	s	PART
ejpam-5435	616	5	v	v	NOUN
ejpam-5435	616	6	nikitin	nikitin	NOUN
ejpam-5435	616	7	.	.	PUNCT
ejpam-5435	617	1	a	a	DET
ejpam-5435	617	2	class	class	NOUN
ejpam-5435	617	3	of	of	ADP
ejpam-5435	617	4	regular	regular	ADJ
ejpam-5435	617	5	functions	function	NOUN
ejpam-5435	617	6	,	,	PUNCT
ejpam-5435	617	7	current	current	ADJ
ejpam-5435	617	8	problems	problem	NOUN
ejpam-5435	617	9	in	in	ADP
ejpam-5435	617	10	function	function	NOUN
ejpam-5435	617	11	theory	theory	NOUN
ejpam-5435	617	12	(	(	PUNCT
ejpam-5435	617	13	russian	russian	PROPN
ejpam-5435	617	14	)	)	PUNCT
ejpam-5435	617	15	.	.	PUNCT
ejpam-5435	618	1	rostov	rostov	PROPN
ejpam-5435	618	2	-	-	PUNCT
ejpam-5435	618	3	gos	gos	PROPN
ejpam-5435	618	4	.	.	PUNCT
ejpam-5435	619	1	univ	univ	PROPN
ejpam-5435	619	2	.	.	PUNCT
ejpam-5435	620	1	rostov	rostov	PROPN
ejpam-5435	620	2	-	-	PUNCT
ejpam-5435	620	3	on	on	ADP
ejpam-5435	620	4	-	-	PUNCT
ejpam-5435	620	5	don	don	PROPN
ejpam-5435	620	6	.	.	PUNCT
ejpam-5435	620	7	,	,	PUNCT
ejpam-5435	620	8	188:143–147	188:143–147	NUM
ejpam-5435	620	9	,	,	PUNCT
ejpam-5435	620	10	1987	1987	NUM
ejpam-5435	620	11	.	.	PUNCT
ejpam-5435	621	1	references	reference	NOUN
ejpam-5435	621	2	3355	3355	NUM
ejpam-5435	621	3	[	[	X
ejpam-5435	621	4	16	16	NUM
ejpam-5435	621	5	]	]	X
ejpam-5435	621	6	h	h	PROPN
ejpam-5435	621	7	orhan	orhan	PROPN
ejpam-5435	621	8	,	,	PUNCT
ejpam-5435	621	9	d	d	PROPN
ejpam-5435	621	10	raducanu	raducanu	NOUN
ejpam-5435	621	11	,	,	PUNCT
ejpam-5435	621	12	m	m	VERB
ejpam-5435	621	13	caglar	caglar	ADJ
ejpam-5435	621	14	,	,	PUNCT
ejpam-5435	621	15	and	and	CCONJ
ejpam-5435	621	16	m	m	PROPN
ejpam-5435	621	17	rayram	rayram	NOUN
ejpam-5435	621	18	.	.	PUNCT
ejpam-5435	622	1	coefficient	coefficient	NOUN
ejpam-5435	622	2	estimates	estimate	NOUN
ejpam-5435	622	3	and	and	CCONJ
ejpam-5435	622	4	other	other	ADJ
ejpam-5435	622	5	properties	property	NOUN
ejpam-5435	622	6	for	for	ADP
ejpam-5435	622	7	a	a	DET
ejpam-5435	622	8	class	class	NOUN
ejpam-5435	622	9	of	of	ADP
ejpam-5435	622	10	spirallike	spirallike	ADJ
ejpam-5435	622	11	functions	function	NOUN
ejpam-5435	622	12	associated	associate	VERB
ejpam-5435	622	13	with	with	ADP
ejpam-5435	622	14	a	a	DET
ejpam-5435	622	15	differential	differential	ADJ
ejpam-5435	622	16	operator	operator	NOUN
ejpam-5435	622	17	.	.	PUNCT
ejpam-5435	623	1	abstr	abstr	PROPN
ejpam-5435	623	2	.	.	PUNCT
ejpam-5435	624	1	anal	anal	PROPN
ejpam-5435	624	2	.	.	PUNCT
ejpam-5435	625	1	appl	appl	PROPN
ejpam-5435	625	2	.	.	PROPN
ejpam-5435	625	3	,	,	PUNCT
ejpam-5435	625	4	art	art	NOUN
ejpam-5435	625	5	.	.	PUNCT
ejpam-5435	626	1	i	i	PRON
ejpam-5435	626	2	d	d	PROPN
ejpam-5435	626	3	415319:1–7	415319:1–7	PROPN
ejpam-5435	626	4	,	,	PUNCT
ejpam-5435	626	5	2013	2013	NUM
ejpam-5435	626	6	.	.	PUNCT
ejpam-5435	627	1	[	[	X
ejpam-5435	627	2	17	17	NUM
ejpam-5435	627	3	]	]	X
ejpam-5435	627	4	m	m	PROPN
ejpam-5435	627	5	s	s	PROPN
ejpam-5435	627	6	robertson	robertson	PROPN
ejpam-5435	627	7	.	.	PUNCT
ejpam-5435	628	1	on	on	ADP
ejpam-5435	628	2	the	the	DET
ejpam-5435	628	3	theory	theory	NOUN
ejpam-5435	628	4	of	of	ADP
ejpam-5435	628	5	univalent	univalent	ADJ
ejpam-5435	628	6	functions	function	NOUN
ejpam-5435	628	7	.	.	PUNCT
ejpam-5435	629	1	ann	ann	PROPN
ejpam-5435	629	2	.	.	PUNCT
ejpam-5435	629	3	math	math	PROPN
ejpam-5435	629	4	.	.	PUNCT
ejpam-5435	629	5	,	,	PUNCT
ejpam-5435	629	6	37:374–408	37:374–408	NUM
ejpam-5435	629	7	,	,	PUNCT
ejpam-5435	629	8	1936	1936	NUM
ejpam-5435	629	9	.	.	PUNCT
ejpam-5435	630	1	[	[	X
ejpam-5435	630	2	18	18	NUM
ejpam-5435	630	3	]	]	X
ejpam-5435	630	4	t	t	PROPN
ejpam-5435	630	5	m	m	PROPN
ejpam-5435	630	6	seoudy	seoudy	PROPN
ejpam-5435	630	7	.	.	PUNCT
ejpam-5435	631	1	convolution	convolution	NOUN
ejpam-5435	631	2	results	result	NOUN
ejpam-5435	631	3	and	and	CCONJ
ejpam-5435	631	4	fekete	fekete	NOUN
ejpam-5435	631	5	-	-	PUNCT
ejpam-5435	631	6	szegö	szegö	ADJ
ejpam-5435	631	7	inequalities	inequality	NOUN
ejpam-5435	631	8	for	for	ADP
ejpam-5435	631	9	certain	certain	ADJ
ejpam-5435	631	10	classes	class	NOUN
ejpam-5435	631	11	of	of	ADP
ejpam-5435	631	12	symmetric	symmetric	ADJ
ejpam-5435	631	13	q	q	ADJ
ejpam-5435	631	14	-	-	PUNCT
ejpam-5435	631	15	starlike	starlike	NOUN
ejpam-5435	631	16	and	and	CCONJ
ejpam-5435	631	17	symmetric	symmetric	ADJ
ejpam-5435	631	18	q	q	ADJ
ejpam-5435	631	19	-	-	PUNCT
ejpam-5435	631	20	convex	convex	NOUN
ejpam-5435	631	21	functions	function	NOUN
ejpam-5435	631	22	.	.	PUNCT
ejpam-5435	632	1	j.	j.	PROPN
ejpam-5435	632	2	math	math	PROPN
ejpam-5435	632	3	.	.	PUNCT
ejpam-5435	632	4	,	,	PUNCT
ejpam-5435	632	5	art	art	NOUN
ejpam-5435	632	6	.	.	PUNCT
ejpam-5435	633	1	i	i	PRON
ejpam-5435	633	2	d	d	PROPN
ejpam-5435	633	3	8203921:1	8203921:1	NUM
ejpam-5435	633	4	–	–	PUNCT
ejpam-5435	633	5	11	11	NUM
ejpam-5435	633	6	,	,	PUNCT
ejpam-5435	633	7	2022	2022	NUM
ejpam-5435	633	8	.	.	PUNCT
ejpam-5435	634	1	[	[	X
ejpam-5435	634	2	19	19	NUM
ejpam-5435	634	3	]	]	PUNCT
ejpam-5435	634	4	h.	h.	PROPN
ejpam-5435	634	5	silverman	silverman	PROPN
ejpam-5435	634	6	.	.	PUNCT
ejpam-5435	635	1	univalent	univalent	ADJ
ejpam-5435	635	2	functions	function	NOUN
ejpam-5435	635	3	with	with	ADP
ejpam-5435	635	4	negative	negative	ADJ
ejpam-5435	635	5	coefficients	coefficient	NOUN
ejpam-5435	635	6	.	.	PUNCT
ejpam-5435	636	1	proc	proc	NOUN
ejpam-5435	636	2	.	.	PUNCT
ejpam-5435	637	1	amer	amer	PROPN
ejpam-5435	637	2	.	.	PUNCT
ejpam-5435	637	3	math	math	PROPN
ejpam-5435	637	4	.	.	PUNCT
ejpam-5435	638	1	soc	soc	PROPN
ejpam-5435	638	2	.	.	PUNCT
ejpam-5435	638	3	,	,	PUNCT
ejpam-5435	639	1	51:109–116	51:109–116	PROPN
ejpam-5435	639	2	,	,	PUNCT
ejpam-5435	639	3	1975	1975	NUM
ejpam-5435	639	4	.	.	PUNCT
ejpam-5435	640	1	[	[	X
ejpam-5435	640	2	20	20	NUM
ejpam-5435	640	3	]	]	X
ejpam-5435	640	4	h	h	NOUN
ejpam-5435	640	5	silverman	silverman	NOUN
ejpam-5435	640	6	and	and	CCONJ
ejpam-5435	640	7	e	e	NOUN
ejpam-5435	640	8	m	m	PROPN
ejpam-5435	640	9	silvia	silvia	PROPN
ejpam-5435	640	10	.	.	PUNCT
ejpam-5435	641	1	subclasses	subclass	NOUN
ejpam-5435	641	2	of	of	ADP
ejpam-5435	641	3	starlike	starlike	NOUN
ejpam-5435	641	4	functions	function	NOUN
ejpam-5435	641	5	subordinate	subordinate	VERB
ejpam-5435	641	6	to	to	ADP
ejpam-5435	641	7	convex	convex	NOUN
ejpam-5435	641	8	functions	function	NOUN
ejpam-5435	641	9	.	.	PUNCT
ejpam-5435	642	1	canad	canad	PROPN
ejpam-5435	642	2	.	.	PUNCT
ejpam-5435	643	1	j.	j.	PROPN
ejpam-5435	643	2	math	math	PROPN
ejpam-5435	643	3	.	.	PUNCT
ejpam-5435	643	4	,	,	PUNCT
ejpam-5435	643	5	1:48–61	1:48–61	PROPN
ejpam-5435	643	6	,	,	PUNCT
ejpam-5435	643	7	1985	1985	NUM
ejpam-5435	643	8	.	.	PUNCT
ejpam-5435	644	1	[	[	X
ejpam-5435	644	2	21	21	NUM
ejpam-5435	644	3	]	]	X
ejpam-5435	644	4	h	h	NOUN
ejpam-5435	644	5	silverman	silverman	NOUN
ejpam-5435	644	6	,	,	PUNCT
ejpam-5435	644	7	e	e	PROPN
ejpam-5435	644	8	m	m	NOUN
ejpam-5435	644	9	silvia	silvia	NOUN
ejpam-5435	644	10	,	,	PUNCT
ejpam-5435	644	11	and	and	CCONJ
ejpam-5435	644	12	d	d	ADP
ejpam-5435	644	13	telage	telage	NOUN
ejpam-5435	644	14	.	.	PUNCT
ejpam-5435	645	1	convolution	convolution	NOUN
ejpam-5435	645	2	conditions	condition	NOUN
ejpam-5435	645	3	for	for	ADP
ejpam-5435	645	4	convexity	convexity	NOUN
ejpam-5435	645	5	,	,	PUNCT
ejpam-5435	645	6	starlikeness	starlikeness	ADJ
ejpam-5435	645	7	and	and	CCONJ
ejpam-5435	645	8	spiral	spiral	ADJ
ejpam-5435	645	9	-	-	PUNCT
ejpam-5435	645	10	likeness	likeness	NOUN
ejpam-5435	645	11	.	.	PUNCT
ejpam-5435	646	1	math	math	NOUN
ejpam-5435	646	2	.	.	PUNCT
ejpam-5435	647	1	z.	z.	PROPN
ejpam-5435	647	2	,	,	PUNCT
ejpam-5435	647	3	162:125–130	162:125–130	NUM
ejpam-5435	647	4	,	,	PUNCT
ejpam-5435	647	5	1978	1978	NUM
ejpam-5435	647	6	.	.	PUNCT
ejpam-5435	648	1	[	[	X
ejpam-5435	648	2	22	22	NUM
ejpam-5435	648	3	]	]	X
ejpam-5435	648	4	h	h	PROPN
ejpam-5435	648	5	m	m	PROPN
ejpam-5435	648	6	srivastava	srivastava	PROPN
ejpam-5435	648	7	,	,	PUNCT
ejpam-5435	648	8	t	t	PROPN
ejpam-5435	648	9	m	m	PROPN
ejpam-5435	648	10	seoudy	seoudy	NOUN
ejpam-5435	648	11	,	,	PUNCT
ejpam-5435	648	12	and	and	CCONJ
ejpam-5435	648	13	m	m	PROPN
ejpam-5435	648	14	k	k	PROPN
ejpam-5435	648	15	aouf	aouf	PROPN
ejpam-5435	648	16	.	.	PUNCT
ejpam-5435	649	1	a	a	DET
ejpam-5435	649	2	generalized	generalized	ADJ
ejpam-5435	649	3	conic	conic	ADJ
ejpam-5435	649	4	domain	domain	NOUN
ejpam-5435	649	5	and	and	CCONJ
ejpam-5435	649	6	its	its	PRON
ejpam-5435	649	7	applications	application	NOUN
ejpam-5435	649	8	to	to	ADP
ejpam-5435	649	9	certain	certain	ADJ
ejpam-5435	649	10	subclasses	subclass	NOUN
ejpam-5435	649	11	of	of	ADP
ejpam-5435	649	12	multivalent	multivalent	NOUN
ejpam-5435	649	13	functions	function	NOUN
ejpam-5435	649	14	associated	associate	VERB
ejpam-5435	649	15	with	with	ADP
ejpam-5435	649	16	the	the	DET
ejpam-5435	649	17	basic	basic	ADJ
ejpam-5435	649	18	(	(	PUNCT
ejpam-5435	649	19	or	or	CCONJ
ejpam-5435	649	20	q-	q-	NOUN
ejpam-5435	649	21	)	)	PUNCT
ejpam-5435	649	22	calculus	calculus	NOUN
ejpam-5435	649	23	.	.	PUNCT
ejpam-5435	649	24	aims	aim	VERB
ejpam-5435	649	25	math	math	NOUN
ejpam-5435	649	26	.	.	PUNCT
ejpam-5435	649	27	,	,	PUNCT
ejpam-5435	649	28	6:6580–6602	6:6580–6602	NUM
ejpam-5435	649	29	,	,	PUNCT
ejpam-5435	649	30	2021	2021	NUM
ejpam-5435	649	31	.	.	PUNCT
ejpam-5435	650	1	[	[	X
ejpam-5435	650	2	23	23	NUM
ejpam-5435	650	3	]	]	PUNCT
ejpam-5435	650	4	l	l	PROPN
ejpam-5435	650	5	špaček	špaček	PROPN
ejpam-5435	650	6	.	.	PUNCT
ejpam-5435	650	7	contribution	contribution	NOUN
ejpam-5435	650	8	à	à	PROPN
ejpam-5435	650	9	la	la	PROPN
ejpam-5435	650	10	theorie	theorie	PROPN
ejpam-5435	650	11	des	des	PROPN
ejpam-5435	650	12	fonctions	fonctions	PROPN
ejpam-5435	650	13	univalents	univalent	NOUN
ejpam-5435	650	14	.	.	PUNCT
ejpam-5435	651	1	cas	cas	PROPN
ejpam-5435	651	2	.	.	PROPN
ejpam-5435	651	3	mat	mat	PROPN
ejpam-5435	651	4	.	.	PUNCT
ejpam-5435	651	5	fys	fys	PROPN
ejpam-5435	651	6	.	.	PROPN
ejpam-5435	651	7	,	,	PUNCT
ejpam-5435	651	8	62:12	62:12	NUM
ejpam-5435	651	9	–	–	PUNCT
ejpam-5435	651	10	19	19	NUM
ejpam-5435	651	11	,	,	PUNCT
ejpam-5435	651	12	1932	1932	NUM
ejpam-5435	651	13	.	.	PUNCT
ejpam-5435	652	1	[	[	X
ejpam-5435	652	2	24	24	NUM
ejpam-5435	652	3	]	]	X
ejpam-5435	652	4	h	h	NOUN
ejpam-5435	652	5	s	s	PART
ejpam-5435	652	6	wilf	wilf	NOUN
ejpam-5435	652	7	.	.	PUNCT
ejpam-5435	653	1	subordinating	subordinate	VERB
ejpam-5435	653	2	factor	factor	NOUN
ejpam-5435	653	3	sequence	sequence	NOUN
ejpam-5435	653	4	for	for	ADP
ejpam-5435	653	5	convex	convex	NOUN
ejpam-5435	653	6	maps	map	NOUN
ejpam-5435	653	7	of	of	ADP
ejpam-5435	653	8	the	the	DET
ejpam-5435	653	9	unit	unit	NOUN
ejpam-5435	653	10	circle	circle	NOUN
ejpam-5435	653	11	.	.	PUNCT
ejpam-5435	654	1	proc	proc	PROPN
ejpam-5435	654	2	.	.	PUNCT
ejpam-5435	655	1	amer	amer	PROPN
ejpam-5435	655	2	.	.	PUNCT
ejpam-5435	655	3	math	math	PROPN
ejpam-5435	655	4	.	.	PUNCT
ejpam-5435	656	1	soc	soc	PROPN
ejpam-5435	656	2	.	.	PROPN
ejpam-5435	656	3	,	,	PUNCT
ejpam-5435	656	4	12:689–693	12:689–693	PROPN
ejpam-5435	656	5	,	,	PUNCT
ejpam-5435	656	6	1961	1961	NUM
ejpam-5435	656	7	.	.	PUNCT