id	sid	tid	token	lemma	pos
ejpam-5907	1	1	european	european	PROPN
ejpam-5907	1	2	journal	journal	PROPN
ejpam-5907	1	3	of	of	ADP
ejpam-5907	1	4	pure	pure	ADJ
ejpam-5907	1	5	and	and	CCONJ
ejpam-5907	1	6	applied	applied	ADJ
ejpam-5907	1	7	mathematics	mathematic	NOUN
ejpam-5907	1	8	2025	2025	NUM
ejpam-5907	1	9	,	,	PUNCT
ejpam-5907	1	10	vol	vol	NOUN
ejpam-5907	1	11	.	.	PROPN
ejpam-5907	1	12	18	18	NUM
ejpam-5907	1	13	,	,	PUNCT
ejpam-5907	1	14	issue	issue	NOUN
ejpam-5907	1	15	2	2	NUM
ejpam-5907	1	16	,	,	PUNCT
ejpam-5907	1	17	article	article	NOUN
ejpam-5907	1	18	number	number	NOUN
ejpam-5907	1	19	5907	5907	NUM
ejpam-5907	1	20	issn	issn	PROPN
ejpam-5907	1	21	1307	1307	NUM
ejpam-5907	1	22	-	-	SYM
ejpam-5907	1	23	5543	5543	NUM
ejpam-5907	1	24	–	–	PUNCT
ejpam-5907	1	25	ejpam.com	ejpam.com	X
ejpam-5907	1	26	published	publish	VERB
ejpam-5907	1	27	by	by	ADP
ejpam-5907	1	28	new	new	PROPN
ejpam-5907	1	29	york	york	PROPN
ejpam-5907	1	30	business	business	PROPN
ejpam-5907	1	31	global	global	ADJ
ejpam-5907	1	32	second	second	ADJ
ejpam-5907	1	33	-	-	PUNCT
ejpam-5907	1	34	order	order	NOUN
ejpam-5907	1	35	differential	differential	ADJ
ejpam-5907	1	36	subordination	subordination	NOUN
ejpam-5907	1	37	with	with	ADP
ejpam-5907	1	38	the	the	DET
ejpam-5907	1	39	mittag	mittag	ADJ
ejpam-5907	1	40	-	-	PUNCT
ejpam-5907	1	41	leffler	leffler	NOUN
ejpam-5907	1	42	operator	operator	NOUN
ejpam-5907	1	43	ebrahim	ebrahim	PROPN
ejpam-5907	1	44	amini1,∗	amini1,∗	PROPN
ejpam-5907	1	45	,	,	PUNCT
ejpam-5907	1	46	shrideh	shrideh	PROPN
ejpam-5907	1	47	al	al	PROPN
ejpam-5907	1	48	-	-	PUNCT
ejpam-5907	1	49	omari2	omari2	PROPN
ejpam-5907	1	50	,	,	PUNCT
ejpam-5907	1	51	mona	mona	PROPN
ejpam-5907	1	52	khandaqji3	khandaqji3	PROPN
ejpam-5907	1	53	1	1	NUM
ejpam-5907	1	54	department	department	NOUN
ejpam-5907	1	55	of	of	ADP
ejpam-5907	1	56	mathematics	mathematic	NOUN
ejpam-5907	1	57	,	,	PUNCT
ejpam-5907	1	58	payame	payame	NOUN
ejpam-5907	1	59	noor	noor	PROPN
ejpam-5907	1	60	university	university	PROPN
ejpam-5907	1	61	,	,	PUNCT
ejpam-5907	1	62	p.	p.	PROPN
ejpam-5907	1	63	o.	o.	PROPN
ejpam-5907	1	64	box	box	PROPN
ejpam-5907	1	65	19395	19395	NUM
ejpam-5907	1	66	-	-	SYM
ejpam-5907	1	67	4697	4697	NUM
ejpam-5907	1	68	,	,	PUNCT
ejpam-5907	1	69	tehran	tehran	PROPN
ejpam-5907	1	70	,	,	PUNCT
ejpam-5907	1	71	iran	iran	PROPN
ejpam-5907	1	72	2	2	NUM
ejpam-5907	1	73	department	department	NOUN
ejpam-5907	1	74	of	of	ADP
ejpam-5907	1	75	mathematics	mathematic	NOUN
ejpam-5907	1	76	,	,	PUNCT
ejpam-5907	1	77	faculty	faculty	NOUN
ejpam-5907	1	78	of	of	ADP
ejpam-5907	1	79	science	science	NOUN
ejpam-5907	1	80	,	,	PUNCT
ejpam-5907	1	81	al	al	PROPN
ejpam-5907	1	82	-	-	PUNCT
ejpam-5907	1	83	balqa	balqa	NOUN
ejpam-5907	1	84	applied	apply	VERB
ejpam-5907	1	85	university	university	NOUN
ejpam-5907	1	86	,	,	PUNCT
ejpam-5907	1	87	salt	salt	NOUN
ejpam-5907	1	88	11134	11134	NUM
ejpam-5907	1	89	,	,	PUNCT
ejpam-5907	1	90	jordan	jordan	PROPN
ejpam-5907	1	91	3	3	NUM
ejpam-5907	1	92	department	department	PROPN
ejpam-5907	1	93	of	of	ADP
ejpam-5907	1	94	mathematics	mathematic	NOUN
ejpam-5907	1	95	,	,	PUNCT
ejpam-5907	1	96	applied	apply	VERB
ejpam-5907	1	97	science	science	NOUN
ejpam-5907	1	98	private	private	ADJ
ejpam-5907	1	99	university	university	NOUN
ejpam-5907	1	100	,	,	PUNCT
ejpam-5907	1	101	amman	amman	PROPN
ejpam-5907	1	102	11931	11931	NUM
ejpam-5907	1	103	,	,	PUNCT
ejpam-5907	1	104	jordan	jordan	PROPN
ejpam-5907	1	105	abstract	abstract	PROPN
ejpam-5907	1	106	.	.	PUNCT
ejpam-5907	2	1	in	in	ADP
ejpam-5907	2	2	this	this	DET
ejpam-5907	2	3	study	study	NOUN
ejpam-5907	2	4	,	,	PUNCT
ejpam-5907	2	5	we	we	PRON
ejpam-5907	2	6	employ	employ	VERB
ejpam-5907	2	7	the	the	DET
ejpam-5907	2	8	generalized	generalize	VERB
ejpam-5907	2	9	mittag	mittag	ADJ
ejpam-5907	2	10	-	-	PUNCT
ejpam-5907	2	11	leffler	leffler	NOUN
ejpam-5907	2	12	function	function	NOUN
ejpam-5907	2	13	and	and	CCONJ
ejpam-5907	2	14	the	the	DET
ejpam-5907	2	15	komatu	komatu	ADJ
ejpam-5907	2	16	integral	integral	ADJ
ejpam-5907	2	17	operator	operator	NOUN
ejpam-5907	2	18	to	to	PART
ejpam-5907	2	19	present	present	VERB
ejpam-5907	2	20	a	a	DET
ejpam-5907	2	21	new	new	ADJ
ejpam-5907	2	22	linear	linear	NOUN
ejpam-5907	2	23	operator	operator	NOUN
ejpam-5907	2	24	in	in	ADP
ejpam-5907	2	25	terms	term	NOUN
ejpam-5907	2	26	of	of	ADP
ejpam-5907	2	27	the	the	DET
ejpam-5907	2	28	convolution	convolution	NOUN
ejpam-5907	2	29	and	and	CCONJ
ejpam-5907	2	30	define	define	VERB
ejpam-5907	2	31	related	related	ADJ
ejpam-5907	2	32	classes	class	NOUN
ejpam-5907	2	33	of	of	ADP
ejpam-5907	2	34	admissible	admissible	ADJ
ejpam-5907	2	35	functions	function	NOUN
ejpam-5907	2	36	.	.	PUNCT
ejpam-5907	3	1	then	then	ADV
ejpam-5907	3	2	,	,	PUNCT
ejpam-5907	3	3	we	we	PRON
ejpam-5907	3	4	derive	derive	VERB
ejpam-5907	3	5	several	several	ADJ
ejpam-5907	3	6	properties	property	NOUN
ejpam-5907	3	7	and	and	CCONJ
ejpam-5907	3	8	characteristics	characteristic	NOUN
ejpam-5907	3	9	of	of	ADP
ejpam-5907	3	10	two	two	NUM
ejpam-5907	3	11	-	-	PUNCT
ejpam-5907	3	12	order	order	NOUN
ejpam-5907	3	13	differential	differential	ADJ
ejpam-5907	3	14	subordinations	subordination	NOUN
ejpam-5907	3	15	and	and	CCONJ
ejpam-5907	3	16	superordinations	superordination	NOUN
ejpam-5907	3	17	.	.	PUNCT
ejpam-5907	4	1	moreover	moreover	ADV
ejpam-5907	4	2	,	,	PUNCT
ejpam-5907	4	3	we	we	PRON
ejpam-5907	4	4	establish	establish	VERB
ejpam-5907	4	5	sandwich	sandwich	NOUN
ejpam-5907	4	6	-	-	PUNCT
ejpam-5907	4	7	type	type	NOUN
ejpam-5907	4	8	results	result	NOUN
ejpam-5907	4	9	for	for	ADP
ejpam-5907	4	10	a	a	DET
ejpam-5907	4	11	class	class	NOUN
ejpam-5907	4	12	of	of	ADP
ejpam-5907	4	13	analytic	analytic	ADJ
ejpam-5907	4	14	functions	function	NOUN
ejpam-5907	4	15	on	on	ADP
ejpam-5907	4	16	an	an	DET
ejpam-5907	4	17	open	open	ADJ
ejpam-5907	4	18	unit	unit	NOUN
ejpam-5907	4	19	disc	disc	NOUN
ejpam-5907	4	20	.	.	PUNCT
ejpam-5907	5	1	over	over	ADP
ejpam-5907	5	2	and	and	CCONJ
ejpam-5907	5	3	above	above	ADV
ejpam-5907	5	4	,	,	PUNCT
ejpam-5907	5	5	we	we	PRON
ejpam-5907	5	6	derive	derive	VERB
ejpam-5907	5	7	various	various	ADJ
ejpam-5907	5	8	results	result	NOUN
ejpam-5907	5	9	involving	involve	VERB
ejpam-5907	5	10	univalent	univalent	ADJ
ejpam-5907	5	11	functions	function	NOUN
ejpam-5907	5	12	in	in	ADP
ejpam-5907	5	13	some	some	DET
ejpam-5907	5	14	details	detail	NOUN
ejpam-5907	5	15	.	.	PUNCT
ejpam-5907	6	1	2020	2020	NUM
ejpam-5907	6	2	mathematics	mathematic	NOUN
ejpam-5907	6	3	subject	subject	NOUN
ejpam-5907	6	4	classifications	classification	NOUN
ejpam-5907	6	5	:	:	PUNCT
ejpam-5907	6	6	30c45	30c45	NUM
ejpam-5907	6	7	,	,	PUNCT
ejpam-5907	6	8	30c80	30c80	NUM
ejpam-5907	6	9	,	,	PUNCT
ejpam-5907	6	10	33e12	33e12	NUM
ejpam-5907	6	11	,	,	PUNCT
ejpam-5907	6	12	26a33	26a33	NUM
ejpam-5907	6	13	key	key	ADJ
ejpam-5907	6	14	words	word	NOUN
ejpam-5907	6	15	and	and	CCONJ
ejpam-5907	6	16	phrases	phrase	NOUN
ejpam-5907	6	17	:	:	PUNCT
ejpam-5907	6	18	p	p	X
ejpam-5907	6	19	-	-	PUNCT
ejpam-5907	6	20	valent	valent	NOUN
ejpam-5907	6	21	function	function	NOUN
ejpam-5907	6	22	,	,	PUNCT
ejpam-5907	6	23	borel	borel	NOUN
ejpam-5907	6	24	distribution	distribution	NOUN
ejpam-5907	6	25	,	,	PUNCT
ejpam-5907	6	26	inclusion	inclusion	NOUN
ejpam-5907	6	27	relation	relation	NOUN
ejpam-5907	6	28	,	,	PUNCT
ejpam-5907	6	29	integral	integral	ADJ
ejpam-5907	6	30	operator	operator	NOUN
ejpam-5907	6	31	,	,	PUNCT
ejpam-5907	6	32	convolution	convolution	NOUN
ejpam-5907	6	33	1	1	NUM
ejpam-5907	6	34	.	.	PUNCT
ejpam-5907	7	1	introduction	introduction	NOUN
ejpam-5907	7	2	let	let	VERB
ejpam-5907	7	3	a	a	PRON
ejpam-5907	7	4	be	be	AUX
ejpam-5907	7	5	the	the	DET
ejpam-5907	7	6	class	class	NOUN
ejpam-5907	7	7	of	of	ADP
ejpam-5907	7	8	complex	complex	NOUN
ejpam-5907	7	9	-	-	PUNCT
ejpam-5907	7	10	valued	value	VERB
ejpam-5907	7	11	analytic	analytic	ADJ
ejpam-5907	7	12	functions	function	NOUN
ejpam-5907	7	13	of	of	ADP
ejpam-5907	7	14	the	the	DET
ejpam-5907	7	15	subsequent	subsequent	ADJ
ejpam-5907	7	16	form	form	NOUN
ejpam-5907	7	17	f(ζ	f(ζ	NOUN
ejpam-5907	7	18	)	)	PUNCT
ejpam-5907	8	1	=	=	SYM
ejpam-5907	8	2	ζ	ζ	X
ejpam-5907	8	3	+	+	NOUN
ejpam-5907	8	4	∞∑	∞∑	NUM
ejpam-5907	8	5	n=2	n=2	VERB
ejpam-5907	8	6	anζ	anζ	NOUN
ejpam-5907	8	7	n	n	CCONJ
ejpam-5907	8	8	,	,	PUNCT
ejpam-5907	8	9	(	(	PUNCT
ejpam-5907	8	10	1	1	X
ejpam-5907	8	11	)	)	PUNCT
ejpam-5907	8	12	which	which	PRON
ejpam-5907	8	13	are	be	AUX
ejpam-5907	8	14	defined	define	VERB
ejpam-5907	8	15	on	on	ADP
ejpam-5907	8	16	the	the	DET
ejpam-5907	8	17	open	open	ADJ
ejpam-5907	8	18	unit	unit	NOUN
ejpam-5907	8	19	disc	disc	NOUN
ejpam-5907	8	20	∆	∆	PROPN
ejpam-5907	8	21	=	=	PRON
ejpam-5907	8	22	{	{	PUNCT
ejpam-5907	8	23	ζ	ζ	NOUN
ejpam-5907	8	24	∈	∈	PROPN
ejpam-5907	8	25	c	c	NOUN
ejpam-5907	8	26	;	;	PUNCT
ejpam-5907	8	27	|ζ|	|ζ|	PROPN
ejpam-5907	8	28	<	<	X
ejpam-5907	8	29	1	1	NUM
ejpam-5907	8	30	}	}	PUNCT
ejpam-5907	8	31	.	.	PUNCT
ejpam-5907	9	1	let	let	VERB
ejpam-5907	9	2	s	s	PROPN
ejpam-5907	9	3	,	,	PUNCT
ejpam-5907	9	4	st	st	PROPN
ejpam-5907	9	5	and	and	CCONJ
ejpam-5907	9	6	cv	cv	PROPN
ejpam-5907	9	7	denote	denote	VERB
ejpam-5907	9	8	the	the	DET
ejpam-5907	9	9	familiar	familiar	ADJ
ejpam-5907	9	10	subclasses	subclass	NOUN
ejpam-5907	9	11	of	of	ADP
ejpam-5907	9	12	a	a	PRON
ejpam-5907	9	13	of	of	ADP
ejpam-5907	9	14	univalent	univalent	ADJ
ejpam-5907	9	15	,	,	PUNCT
ejpam-5907	9	16	starlike	starlike	NOUN
ejpam-5907	9	17	and	and	CCONJ
ejpam-5907	9	18	convex	convex	NOUN
ejpam-5907	9	19	functions	function	NOUN
ejpam-5907	9	20	on	on	ADP
ejpam-5907	9	21	∆	∆	PROPN
ejpam-5907	9	22	,	,	PUNCT
ejpam-5907	9	23	respectively	respectively	ADV
ejpam-5907	9	24	(	(	PUNCT
ejpam-5907	9	25	[	[	X
ejpam-5907	9	26	1	1	NUM
ejpam-5907	9	27	,	,	PUNCT
ejpam-5907	9	28	2	2	NUM
ejpam-5907	9	29	]	]	PUNCT
ejpam-5907	9	30	)	)	PUNCT
ejpam-5907	9	31	.	.	PUNCT
ejpam-5907	10	1	in	in	ADP
ejpam-5907	10	2	a	a	DET
ejpam-5907	10	3	very	very	ADV
ejpam-5907	10	4	recent	recent	ADJ
ejpam-5907	10	5	years	year	NOUN
ejpam-5907	10	6	,	,	PUNCT
ejpam-5907	10	7	various	various	ADJ
ejpam-5907	10	8	researchers	researcher	NOUN
ejpam-5907	10	9	have	have	AUX
ejpam-5907	10	10	studied	study	VERB
ejpam-5907	10	11	a	a	DET
ejpam-5907	10	12	number	number	NOUN
ejpam-5907	10	13	of	of	ADP
ejpam-5907	10	14	different	different	ADJ
ejpam-5907	10	15	subclasses	subclass	NOUN
ejpam-5907	10	16	of	of	ADP
ejpam-5907	10	17	univalent	univalent	ADJ
ejpam-5907	10	18	functions	function	NOUN
ejpam-5907	10	19	in	in	ADP
ejpam-5907	10	20	the	the	DET
ejpam-5907	10	21	context	context	NOUN
ejpam-5907	10	22	of	of	ADP
ejpam-5907	10	23	geometric	geometric	ADJ
ejpam-5907	10	24	function	function	NOUN
ejpam-5907	10	25	theory	theory	NOUN
ejpam-5907	10	26	(	(	PUNCT
ejpam-5907	10	27	see	see	VERB
ejpam-5907	10	28	for	for	ADP
ejpam-5907	10	29	details	detail	NOUN
ejpam-5907	10	30	[	[	X
ejpam-5907	10	31	3–8	3–8	NUM
ejpam-5907	10	32	]	]	PUNCT
ejpam-5907	10	33	)	)	PUNCT
ejpam-5907	10	34	.	.	PUNCT
ejpam-5907	11	1	for	for	ADP
ejpam-5907	11	2	two	two	NUM
ejpam-5907	11	3	analytic	analytic	ADJ
ejpam-5907	11	4	functions	function	NOUN
ejpam-5907	11	5	f	f	PROPN
ejpam-5907	11	6	and	and	CCONJ
ejpam-5907	11	7	g	g	PROPN
ejpam-5907	11	8	belonging	belong	VERB
ejpam-5907	11	9	to	to	ADP
ejpam-5907	11	10	a	a	PRON
ejpam-5907	11	11	,	,	PUNCT
ejpam-5907	11	12	we	we	PRON
ejpam-5907	11	13	say	say	VERB
ejpam-5907	11	14	that	that	SCONJ
ejpam-5907	11	15	the	the	DET
ejpam-5907	11	16	function	function	NOUN
ejpam-5907	11	17	f	f	PROPN
ejpam-5907	11	18	is	be	AUX
ejpam-5907	11	19	subordinate	subordinate	ADJ
ejpam-5907	11	20	to	to	ADP
ejpam-5907	11	21	the	the	DET
ejpam-5907	11	22	function	function	NOUN
ejpam-5907	11	23	g	g	NOUN
ejpam-5907	11	24	(	(	PUNCT
ejpam-5907	11	25	or	or	CCONJ
ejpam-5907	11	26	g	g	NOUN
ejpam-5907	11	27	superordinate	superordinate	NOUN
ejpam-5907	11	28	of	of	ADP
ejpam-5907	11	29	function	function	NOUN
ejpam-5907	11	30	f	f	PROPN
ejpam-5907	11	31	)	)	PUNCT
ejpam-5907	11	32	,	,	PUNCT
ejpam-5907	11	33	written	write	VERB
ejpam-5907	11	34	as	as	ADP
ejpam-5907	11	35	∗corresponding	∗corresponde	VERB
ejpam-5907	11	36	author	author	NOUN
ejpam-5907	11	37	.	.	PUNCT
ejpam-5907	12	1	doi	doi	NOUN
ejpam-5907	12	2	:	:	PUNCT
ejpam-5907	12	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5907	https://doi.org/10.29020/nybg.ejpam.v18i2.5907	PROPN
ejpam-5907	12	4	email	email	NOUN
ejpam-5907	12	5	addresses	address	NOUN
ejpam-5907	12	6	:	:	PUNCT
ejpam-5907	12	7	eb.amini.s@pnu.ac.ir	eb.amini.s@pnu.ac.ir	ADJ
ejpam-5907	12	8	(	(	PUNCT
ejpam-5907	12	9	e.	e.	PROPN
ejpam-5907	12	10	amini	amini	PROPN
ejpam-5907	12	11	)	)	PUNCT
ejpam-5907	12	12	,	,	PUNCT
ejpam-5907	12	13	shridehalomari@bau.edu.jo	shridehalomari@bau.edu.jo	NOUN
ejpam-5907	12	14	(	(	PUNCT
ejpam-5907	12	15	s.	s.	PROPN
ejpam-5907	12	16	al	al	PROPN
ejpam-5907	12	17	-	-	PUNCT
ejpam-5907	12	18	omari	omari	PROPN
ejpam-5907	12	19	)	)	PUNCT
ejpam-5907	12	20	,	,	PUNCT
ejpam-5907	12	21	m	m	VERB
ejpam-5907	12	22	khandakji@asu.edu.jo	khandakji@asu.edu.jo	NOUN
ejpam-5907	12	23	(	(	PUNCT
ejpam-5907	12	24	m.	m.	NOUN
ejpam-5907	12	25	khandaqji	khandaqji	PROPN
ejpam-5907	12	26	)	)	PUNCT
ejpam-5907	12	27	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5907	13	1	1	1	NUM
ejpam-5907	13	2	copyright	copyright	NOUN
ejpam-5907	13	3	:	:	PUNCT
ejpam-5907	13	4	©	©	PROPN
ejpam-5907	13	5	2025	2025	NUM
ejpam-5907	13	6	the	the	DET
ejpam-5907	13	7	author(s	author(s	NOUN
ejpam-5907	13	8	)	)	PUNCT
ejpam-5907	13	9	.	.	PUNCT
ejpam-5907	14	1	(	(	PUNCT
ejpam-5907	14	2	cc	cc	NOUN
ejpam-5907	14	3	by	by	ADP
ejpam-5907	14	4	-	-	PUNCT
ejpam-5907	14	5	nc	nc	PROPN
ejpam-5907	14	6	4.0	4.0	NUM
ejpam-5907	14	7	)	)	PUNCT
ejpam-5907	14	8	e.	e.	PROPN
ejpam-5907	14	9	amini	amini	PROPN
ejpam-5907	14	10	,	,	PUNCT
ejpam-5907	14	11	s.	s.	PROPN
ejpam-5907	14	12	al	al	PROPN
ejpam-5907	14	13	-	-	PUNCT
ejpam-5907	14	14	omari	omari	PROPN
ejpam-5907	14	15	,	,	PUNCT
ejpam-5907	14	16	m.	m.	NOUN
ejpam-5907	14	17	khandaqji	khandaqji	PROPN
ejpam-5907	14	18	/	/	SYM
ejpam-5907	14	19	eur	eur	PROPN
ejpam-5907	14	20	.	.	PUNCT
ejpam-5907	15	1	j.	j.	PROPN
ejpam-5907	15	2	pure	pure	PROPN
ejpam-5907	15	3	appl	appl	PROPN
ejpam-5907	15	4	.	.	PROPN
ejpam-5907	15	5	math	math	PROPN
ejpam-5907	15	6	,	,	PUNCT
ejpam-5907	15	7	18	18	NUM
ejpam-5907	15	8	(	(	PUNCT
ejpam-5907	15	9	2	2	NUM
ejpam-5907	15	10	)	)	PUNCT
ejpam-5907	15	11	(	(	PUNCT
ejpam-5907	15	12	2025	2025	NUM
ejpam-5907	15	13	)	)	PUNCT
ejpam-5907	15	14	,	,	PUNCT
ejpam-5907	15	15	5907	5907	NUM
ejpam-5907	15	16	2	2	NUM
ejpam-5907	15	17	of	of	ADP
ejpam-5907	15	18	22	22	NUM
ejpam-5907	15	19	f	f	PROPN
ejpam-5907	15	20	≺	≺	NOUN
ejpam-5907	15	21	g	g	PROPN
ejpam-5907	15	22	or	or	CCONJ
ejpam-5907	15	23	f(ζ	f(ζ	PROPN
ejpam-5907	15	24	)	)	PUNCT
ejpam-5907	15	25	≺	≺	NOUN
ejpam-5907	15	26	g(ζ	g(ζ	PROPN
ejpam-5907	15	27	)	)	PUNCT
ejpam-5907	15	28	,	,	PUNCT
ejpam-5907	15	29	if	if	SCONJ
ejpam-5907	15	30	there	there	PRON
ejpam-5907	15	31	exists	exist	VERB
ejpam-5907	15	32	a	a	DET
ejpam-5907	15	33	schwartz	schwartz	PROPN
ejpam-5907	15	34	function	function	PROPN
ejpam-5907	15	35	w	w	ADP
ejpam-5907	15	36	where	where	SCONJ
ejpam-5907	15	37	w(0	w(0	PROPN
ejpam-5907	15	38	)	)	PUNCT
ejpam-5907	15	39	=	=	SYM
ejpam-5907	16	1	0	0	NUM
ejpam-5907	16	2	,	,	PUNCT
ejpam-5907	16	3	|w(ζ)|	|w(ζ)|	NOUN
ejpam-5907	16	4	<	<	X
ejpam-5907	16	5	1	1	NUM
ejpam-5907	16	6	and	and	CCONJ
ejpam-5907	16	7	f(ζ	f(ζ	NOUN
ejpam-5907	16	8	)	)	PUNCT
ejpam-5907	16	9	=	=	SYM
ejpam-5907	16	10	g(w(ζ	g(w(ζ	PROPN
ejpam-5907	16	11	)	)	PUNCT
ejpam-5907	16	12	)	)	PUNCT
ejpam-5907	16	13	.	.	PUNCT
ejpam-5907	17	1	if	if	SCONJ
ejpam-5907	17	2	g	g	PROPN
ejpam-5907	17	3	is	be	AUX
ejpam-5907	17	4	univalent	univalent	ADJ
ejpam-5907	17	5	in	in	ADP
ejpam-5907	17	6	∆	∆	PROPN
ejpam-5907	17	7	,	,	PUNCT
ejpam-5907	17	8	then	then	ADV
ejpam-5907	17	9	the	the	DET
ejpam-5907	17	10	subordination	subordination	NOUN
ejpam-5907	17	11	is	be	AUX
ejpam-5907	17	12	equivalent	equivalent	ADJ
ejpam-5907	17	13	to	to	PART
ejpam-5907	17	14	say	say	VERB
ejpam-5907	17	15	f(0	f(0	NOUN
ejpam-5907	17	16	)	)	PUNCT
ejpam-5907	17	17	=	=	SYM
ejpam-5907	17	18	g(0	g(0	PROPN
ejpam-5907	17	19	)	)	PUNCT
ejpam-5907	17	20	and	and	CCONJ
ejpam-5907	17	21	f(∆	f(∆	X
ejpam-5907	17	22	)	)	PUNCT
ejpam-5907	17	23	⊂	⊂	PROPN
ejpam-5907	17	24	g(∆	g(∆	PROPN
ejpam-5907	17	25	)	)	PUNCT
ejpam-5907	17	26	(	(	PUNCT
ejpam-5907	17	27	see	see	VERB
ejpam-5907	17	28	[	[	X
ejpam-5907	17	29	9	9	NUM
ejpam-5907	17	30	]	]	NUM
ejpam-5907	17	31	)	)	PUNCT
ejpam-5907	17	32	.	.	PUNCT
ejpam-5907	18	1	further	far	ADV
ejpam-5907	18	2	,	,	PUNCT
ejpam-5907	18	3	the	the	DET
ejpam-5907	18	4	convolution	convolution	NOUN
ejpam-5907	18	5	(	(	PUNCT
ejpam-5907	18	6	or	or	CCONJ
ejpam-5907	18	7	hadamard	hadamard	ADJ
ejpam-5907	18	8	)	)	PUNCT
ejpam-5907	18	9	product	product	NOUN
ejpam-5907	18	10	of	of	ADP
ejpam-5907	18	11	two	two	NUM
ejpam-5907	18	12	functions	function	NOUN
ejpam-5907	18	13	f	f	NOUN
ejpam-5907	18	14	and	and	CCONJ
ejpam-5907	18	15	g	g	NOUN
ejpam-5907	18	16	,	,	PUNCT
ejpam-5907	18	17	where	where	SCONJ
ejpam-5907	18	18	f	f	PROPN
ejpam-5907	18	19	is	be	AUX
ejpam-5907	18	20	given	give	VERB
ejpam-5907	18	21	by	by	ADP
ejpam-5907	18	22	(	(	PUNCT
ejpam-5907	18	23	1	1	NUM
ejpam-5907	18	24	)	)	PUNCT
ejpam-5907	18	25	and	and	CCONJ
ejpam-5907	18	26	g(ζ	g(ζ	PROPN
ejpam-5907	18	27	)	)	PUNCT
ejpam-5907	19	1	=	=	SYM
ejpam-5907	19	2	ζ	ζ	NOUN
ejpam-5907	19	3	+	+	NOUN
ejpam-5907	19	4	∞∑	∞∑	PROPN
ejpam-5907	19	5	n=2	n=2	ADV
ejpam-5907	19	6	bnζ	bnζ	NOUN
ejpam-5907	19	7	n	n	X
ejpam-5907	19	8	,	,	PUNCT
ejpam-5907	19	9	is	be	AUX
ejpam-5907	19	10	presented	present	VERB
ejpam-5907	19	11	by	by	ADP
ejpam-5907	19	12	ruscheweyh	ruscheweyh	NOUN
ejpam-5907	19	13	[	[	X
ejpam-5907	19	14	10	10	NUM
ejpam-5907	19	15	]	]	PUNCT
ejpam-5907	19	16	as	as	ADP
ejpam-5907	19	17	f(ζ)∗g(ζ	f(ζ)∗g(ζ	NUM
ejpam-5907	19	18	)	)	PUNCT
ejpam-5907	19	19	=	=	PUNCT
ejpam-5907	20	1	ζ+	ζ+	NOUN
ejpam-5907	20	2	∑∞	∑∞	NOUN
ejpam-5907	20	3	n=2	n=2	PUNCT
ejpam-5907	20	4	anbnζ	anbnζ	NOUN
ejpam-5907	20	5	n.	n.	PROPN
ejpam-5907	20	6	let	let	VERB
ejpam-5907	20	7	p(ζ	p(ζ	PRON
ejpam-5907	20	8	)	)	PUNCT
ejpam-5907	20	9	be	be	AUX
ejpam-5907	20	10	an	an	DET
ejpam-5907	20	11	analytic	analytic	ADJ
ejpam-5907	20	12	function	function	NOUN
ejpam-5907	20	13	in	in	ADP
ejpam-5907	20	14	∆	∆	PROPN
ejpam-5907	20	15	and	and	CCONJ
ejpam-5907	20	16	suppose	suppose	VERB
ejpam-5907	20	17	that	that	SCONJ
ejpam-5907	20	18	ψ(r1	ψ(r1	NOUN
ejpam-5907	20	19	,	,	PUNCT
ejpam-5907	20	20	r2	r2	PROPN
ejpam-5907	20	21	,	,	PUNCT
ejpam-5907	20	22	r3	r3	PROPN
ejpam-5907	20	23	,	,	PUNCT
ejpam-5907	20	24	ζ	ζ	NOUN
ejpam-5907	20	25	)	)	PUNCT
ejpam-5907	20	26	:	:	PUNCT
ejpam-5907	20	27	c3×∆	c3×∆	PUNCT
ejpam-5907	21	1	−→	−→	NOUN
ejpam-5907	21	2	c	c	NOUN
ejpam-5907	21	3	be	be	AUX
ejpam-5907	21	4	a	a	DET
ejpam-5907	21	5	univalent	univalent	ADJ
ejpam-5907	21	6	function	function	NOUN
ejpam-5907	21	7	and	and	CCONJ
ejpam-5907	21	8	p(ζ	p(ζ	PROPN
ejpam-5907	21	9	)	)	PUNCT
ejpam-5907	21	10	satisfies	satisfy	VERB
ejpam-5907	21	11	the	the	DET
ejpam-5907	21	12	subsequent	subsequent	ADJ
ejpam-5907	21	13	differential	differential	ADJ
ejpam-5907	21	14	subordination	subordination	NOUN
ejpam-5907	21	15	ψ(p(ζ	ψ(p(ζ	NOUN
ejpam-5907	21	16	)	)	PUNCT
ejpam-5907	21	17	,	,	PUNCT
ejpam-5907	21	18	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	21	19	)	)	PUNCT
ejpam-5907	21	20	,	,	PUNCT
ejpam-5907	21	21	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	21	22	)	)	PUNCT
ejpam-5907	21	23	;	;	PUNCT
ejpam-5907	21	24	ζ	ζ	X
ejpam-5907	21	25	)	)	PUNCT
ejpam-5907	21	26	≺	≺	NOUN
ejpam-5907	21	27	φ(ζ	φ(ζ	NOUN
ejpam-5907	21	28	)	)	PUNCT
ejpam-5907	21	29	,	,	PUNCT
ejpam-5907	21	30	(	(	PUNCT
ejpam-5907	21	31	2	2	X
ejpam-5907	21	32	)	)	PUNCT
ejpam-5907	21	33	where	where	SCONJ
ejpam-5907	21	34	φ(ζ	φ(ζ	NOUN
ejpam-5907	21	35	)	)	PUNCT
ejpam-5907	21	36	∈	∈	PROPN
ejpam-5907	21	37	s.	s.	PROPN
ejpam-5907	21	38	then	then	ADV
ejpam-5907	21	39	,	,	PUNCT
ejpam-5907	21	40	p(ζ	p(ζ	PROPN
ejpam-5907	21	41	)	)	PUNCT
ejpam-5907	21	42	is	be	AUX
ejpam-5907	21	43	said	say	VERB
ejpam-5907	21	44	to	to	PART
ejpam-5907	21	45	be	be	AUX
ejpam-5907	21	46	a	a	DET
ejpam-5907	21	47	solution	solution	NOUN
ejpam-5907	21	48	of	of	ADP
ejpam-5907	21	49	the	the	DET
ejpam-5907	21	50	differential	differential	ADJ
ejpam-5907	21	51	subordination	subordination	NOUN
ejpam-5907	21	52	(	(	PUNCT
ejpam-5907	21	53	2	2	NUM
ejpam-5907	21	54	)	)	PUNCT
ejpam-5907	21	55	.	.	PUNCT
ejpam-5907	22	1	an	an	DET
ejpam-5907	22	2	analytic	analytic	ADJ
ejpam-5907	22	3	function	function	NOUN
ejpam-5907	22	4	γ(ζ	γ(ζ	PROPN
ejpam-5907	22	5	)	)	PUNCT
ejpam-5907	22	6	is	be	AUX
ejpam-5907	22	7	said	say	VERB
ejpam-5907	22	8	to	to	PART
ejpam-5907	22	9	be	be	AUX
ejpam-5907	22	10	a	a	DET
ejpam-5907	22	11	dominant	dominant	NOUN
ejpam-5907	22	12	to	to	ADP
ejpam-5907	22	13	the	the	DET
ejpam-5907	22	14	solution	solution	NOUN
ejpam-5907	22	15	(	(	PUNCT
ejpam-5907	22	16	2	2	NUM
ejpam-5907	22	17	)	)	PUNCT
ejpam-5907	22	18	,	,	PUNCT
ejpam-5907	22	19	if	if	SCONJ
ejpam-5907	22	20	p(ζ	p(ζ	PROPN
ejpam-5907	22	21	)	)	PUNCT
ejpam-5907	22	22	≺	≺	NOUN
ejpam-5907	22	23	γ(ζ	γ(ζ	NOUN
ejpam-5907	22	24	)	)	PUNCT
ejpam-5907	22	25	for	for	ADP
ejpam-5907	22	26	all	all	DET
ejpam-5907	22	27	functions	function	NOUN
ejpam-5907	22	28	p(ζ	p(ζ	PROPN
ejpam-5907	22	29	)	)	PUNCT
ejpam-5907	22	30	satisfies	satisfie	NOUN
ejpam-5907	22	31	differential	differential	VERB
ejpam-5907	22	32	subordinate	subordinate	NOUN
ejpam-5907	22	33	(	(	PUNCT
ejpam-5907	22	34	2	2	NUM
ejpam-5907	22	35	)	)	PUNCT
ejpam-5907	22	36	.	.	PUNCT
ejpam-5907	23	1	a	a	DET
ejpam-5907	23	2	univalent	univalent	ADJ
ejpam-5907	23	3	function	function	NOUN
ejpam-5907	23	4	γ̂(ζ	γ̂(ζ	NOUN
ejpam-5907	23	5	)	)	PUNCT
ejpam-5907	23	6	that	that	PRON
ejpam-5907	23	7	satisfies	satisfy	VERB
ejpam-5907	23	8	γ̂(ζ	γ̂(ζ	NOUN
ejpam-5907	23	9	)	)	PUNCT
ejpam-5907	23	10	≺	≺	NOUN
ejpam-5907	23	11	γ(ζ	γ(ζ	NOUN
ejpam-5907	23	12	)	)	PUNCT
ejpam-5907	23	13	for	for	ADP
ejpam-5907	23	14	all	all	DET
ejpam-5907	23	15	the	the	DET
ejpam-5907	23	16	subordinates	subordinate	NOUN
ejpam-5907	23	17	γ(ζ	γ(ζ	NOUN
ejpam-5907	23	18	)	)	PUNCT
ejpam-5907	23	19	of	of	ADP
ejpam-5907	23	20	(	(	PUNCT
ejpam-5907	23	21	2	2	X
ejpam-5907	23	22	)	)	PUNCT
ejpam-5907	23	23	is	be	AUX
ejpam-5907	23	24	called	call	VERB
ejpam-5907	23	25	the	the	DET
ejpam-5907	23	26	best	good	ADJ
ejpam-5907	23	27	dominant	dominant	NOUN
ejpam-5907	23	28	of	of	ADP
ejpam-5907	23	29	(	(	PUNCT
ejpam-5907	23	30	2	2	NUM
ejpam-5907	23	31	)	)	PUNCT
ejpam-5907	23	32	.	.	PUNCT
ejpam-5907	24	1	the	the	DET
ejpam-5907	24	2	best	good	ADJ
ejpam-5907	24	3	dominant	dominant	NOUN
ejpam-5907	24	4	is	be	AUX
ejpam-5907	24	5	unique	unique	ADJ
ejpam-5907	24	6	to	to	ADP
ejpam-5907	24	7	a	a	DET
ejpam-5907	24	8	rotation	rotation	NOUN
ejpam-5907	24	9	of	of	ADP
ejpam-5907	24	10	∆	∆	PROPN
ejpam-5907	24	11	(	(	PUNCT
ejpam-5907	24	12	see	see	VERB
ejpam-5907	24	13	[	[	X
ejpam-5907	24	14	11	11	NUM
ejpam-5907	24	15	]	]	NUM
ejpam-5907	24	16	)	)	PUNCT
ejpam-5907	24	17	.	.	PUNCT
ejpam-5907	25	1	let	let	VERB
ejpam-5907	25	2	p(ζ	p(ζ	PRON
ejpam-5907	25	3	)	)	PUNCT
ejpam-5907	25	4	be	be	AUX
ejpam-5907	25	5	an	an	DET
ejpam-5907	25	6	analytic	analytic	ADJ
ejpam-5907	25	7	function	function	NOUN
ejpam-5907	25	8	in	in	ADP
ejpam-5907	25	9	∆	∆	PROPN
ejpam-5907	25	10	and	and	CCONJ
ejpam-5907	26	1	that	that	SCONJ
ejpam-5907	26	2	ϕ(r1	ϕ(r1	NOUN
ejpam-5907	26	3	,	,	PUNCT
ejpam-5907	26	4	r2	r2	PROPN
ejpam-5907	26	5	,	,	PUNCT
ejpam-5907	26	6	r3	r3	PROPN
ejpam-5907	26	7	,	,	PUNCT
ejpam-5907	26	8	ζ	ζ	NOUN
ejpam-5907	26	9	)	)	PUNCT
ejpam-5907	26	10	:	:	PUNCT
ejpam-5907	26	11	c3×∆	c3×∆	PUNCT
ejpam-5907	26	12	−→	−→	NOUN
ejpam-5907	26	13	c	c	NOUN
ejpam-5907	26	14	be	be	AUX
ejpam-5907	26	15	a	a	DET
ejpam-5907	26	16	univalent	univalent	ADJ
ejpam-5907	26	17	function	function	NOUN
ejpam-5907	26	18	and	and	CCONJ
ejpam-5907	26	19	p(ζ	p(ζ	PROPN
ejpam-5907	26	20	)	)	PUNCT
ejpam-5907	26	21	satisfies	satisfy	VERB
ejpam-5907	26	22	the	the	DET
ejpam-5907	26	23	subsequent	subsequent	ADJ
ejpam-5907	26	24	differential	differential	ADJ
ejpam-5907	26	25	superordination	superordination	NOUN
ejpam-5907	26	26	φ(ζ	φ(ζ	NOUN
ejpam-5907	26	27	)	)	PUNCT
ejpam-5907	26	28	≺	≺	NOUN
ejpam-5907	26	29	ϕ(p(ζ	ϕ(p(ζ	NOUN
ejpam-5907	26	30	)	)	PUNCT
ejpam-5907	26	31	,	,	PUNCT
ejpam-5907	26	32	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	26	33	)	)	PUNCT
ejpam-5907	26	34	,	,	PUNCT
ejpam-5907	26	35	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	26	36	)	)	PUNCT
ejpam-5907	26	37	;	;	PUNCT
ejpam-5907	26	38	ζ	ζ	X
ejpam-5907	26	39	)	)	PUNCT
ejpam-5907	26	40	,	,	PUNCT
ejpam-5907	26	41	(	(	PUNCT
ejpam-5907	26	42	3	3	X
ejpam-5907	26	43	)	)	PUNCT
ejpam-5907	26	44	where	where	SCONJ
ejpam-5907	26	45	φ(ζ	φ(ζ	NOUN
ejpam-5907	26	46	)	)	PUNCT
ejpam-5907	26	47	∈	∈	PROPN
ejpam-5907	26	48	s.	s.	PROPN
ejpam-5907	26	49	then	then	ADV
ejpam-5907	26	50	,	,	PUNCT
ejpam-5907	26	51	p(ζ	p(ζ	PROPN
ejpam-5907	26	52	)	)	PUNCT
ejpam-5907	26	53	is	be	AUX
ejpam-5907	26	54	said	say	VERB
ejpam-5907	26	55	to	to	PART
ejpam-5907	26	56	be	be	AUX
ejpam-5907	26	57	a	a	DET
ejpam-5907	26	58	solution	solution	NOUN
ejpam-5907	26	59	of	of	ADP
ejpam-5907	26	60	differential	differential	ADJ
ejpam-5907	26	61	superordination	superordination	NOUN
ejpam-5907	26	62	(	(	PUNCT
ejpam-5907	26	63	3	3	NUM
ejpam-5907	26	64	)	)	PUNCT
ejpam-5907	26	65	.	.	PUNCT
ejpam-5907	27	1	an	an	DET
ejpam-5907	27	2	analytic	analytic	ADJ
ejpam-5907	27	3	function	function	NOUN
ejpam-5907	27	4	γ(ζ	γ(ζ	PROPN
ejpam-5907	27	5	)	)	PUNCT
ejpam-5907	27	6	is	be	AUX
ejpam-5907	27	7	said	say	VERB
ejpam-5907	27	8	to	to	PART
ejpam-5907	27	9	be	be	AUX
ejpam-5907	27	10	dominant	dominant	ADJ
ejpam-5907	27	11	of	of	ADP
ejpam-5907	27	12	the	the	DET
ejpam-5907	27	13	solution	solution	NOUN
ejpam-5907	27	14	(	(	PUNCT
ejpam-5907	27	15	3	3	NUM
ejpam-5907	27	16	)	)	PUNCT
ejpam-5907	27	17	,	,	PUNCT
ejpam-5907	27	18	if	if	SCONJ
ejpam-5907	27	19	γ(ζ	γ(ζ	NOUN
ejpam-5907	27	20	)	)	PUNCT
ejpam-5907	27	21	≺	≺	NOUN
ejpam-5907	27	22	p(ζ	p(ζ	PROPN
ejpam-5907	27	23	)	)	PUNCT
ejpam-5907	27	24	for	for	ADP
ejpam-5907	27	25	all	all	DET
ejpam-5907	27	26	functions	function	NOUN
ejpam-5907	27	27	p(ζ	p(ζ	PROPN
ejpam-5907	27	28	)	)	PUNCT
ejpam-5907	27	29	satisfies	satisfie	NOUN
ejpam-5907	27	30	differential	differential	ADJ
ejpam-5907	27	31	superordinate	superordinate	NOUN
ejpam-5907	27	32	(	(	PUNCT
ejpam-5907	27	33	3	3	NUM
ejpam-5907	27	34	)	)	PUNCT
ejpam-5907	27	35	.	.	PUNCT
ejpam-5907	28	1	a	a	DET
ejpam-5907	28	2	univalent	univalent	ADJ
ejpam-5907	28	3	function	function	NOUN
ejpam-5907	28	4	γ̂(ζ	γ̂(ζ	NOUN
ejpam-5907	28	5	)	)	PUNCT
ejpam-5907	28	6	that	that	PRON
ejpam-5907	28	7	satisfies	satisfy	VERB
ejpam-5907	28	8	γ(ζ	γ(ζ	NOUN
ejpam-5907	28	9	)	)	PUNCT
ejpam-5907	28	10	≺	≺	NOUN
ejpam-5907	28	11	γ̂(ζ	γ̂(ζ	NOUN
ejpam-5907	28	12	)	)	PUNCT
ejpam-5907	28	13	for	for	ADP
ejpam-5907	28	14	all	all	DET
ejpam-5907	28	15	the	the	DET
ejpam-5907	28	16	superordinates	superordinate	NOUN
ejpam-5907	28	17	γ(ζ	γ(ζ	PROPN
ejpam-5907	28	18	)	)	PUNCT
ejpam-5907	28	19	of	of	ADP
ejpam-5907	28	20	(	(	PUNCT
ejpam-5907	28	21	3	3	X
ejpam-5907	28	22	)	)	PUNCT
ejpam-5907	28	23	is	be	AUX
ejpam-5907	28	24	called	call	VERB
ejpam-5907	28	25	the	the	DET
ejpam-5907	28	26	best	good	ADJ
ejpam-5907	28	27	dominant	dominant	NOUN
ejpam-5907	28	28	of	of	ADP
ejpam-5907	28	29	(	(	PUNCT
ejpam-5907	28	30	3	3	NUM
ejpam-5907	28	31	)	)	PUNCT
ejpam-5907	28	32	.	.	PUNCT
ejpam-5907	29	1	the	the	DET
ejpam-5907	29	2	best	good	ADJ
ejpam-5907	29	3	dominant	dominant	NOUN
ejpam-5907	29	4	is	be	AUX
ejpam-5907	29	5	unique	unique	ADJ
ejpam-5907	29	6	to	to	ADP
ejpam-5907	29	7	a	a	DET
ejpam-5907	29	8	rotation	rotation	NOUN
ejpam-5907	29	9	of	of	ADP
ejpam-5907	29	10	∆	∆	PROPN
ejpam-5907	29	11	(	(	PUNCT
ejpam-5907	29	12	see	see	VERB
ejpam-5907	29	13	[	[	X
ejpam-5907	29	14	11	11	NUM
ejpam-5907	29	15	]	]	NUM
ejpam-5907	29	16	)	)	PUNCT
ejpam-5907	29	17	.	.	PUNCT
ejpam-5907	30	1	miller	miller	PROPN
ejpam-5907	30	2	et	et	PROPN
ejpam-5907	30	3	al	al	PROPN
ejpam-5907	30	4	.	.	PUNCT
ejpam-5907	31	1	[	[	X
ejpam-5907	31	2	12	12	NUM
ejpam-5907	31	3	]	]	PUNCT
ejpam-5907	31	4	investigated	investigate	VERB
ejpam-5907	31	5	sufficient	sufficient	ADJ
ejpam-5907	31	6	conditions	condition	NOUN
ejpam-5907	31	7	on	on	ADP
ejpam-5907	31	8	the	the	DET
ejpam-5907	31	9	function	function	NOUN
ejpam-5907	31	10	p	p	NOUN
ejpam-5907	31	11	,	,	PUNCT
ejpam-5907	31	12	γ	γ	PROPN
ejpam-5907	31	13	and	and	CCONJ
ejpam-5907	31	14	ξ	ξ	PROPN
ejpam-5907	31	15	for	for	ADP
ejpam-5907	31	16	which	which	PRON
ejpam-5907	31	17	if	if	SCONJ
ejpam-5907	31	18	the	the	DET
ejpam-5907	31	19	p(ζ	p(ζ	PROPN
ejpam-5907	31	20	)	)	PUNCT
ejpam-5907	31	21	satisfying	satisfying	NOUN
ejpam-5907	31	22	(	(	PUNCT
ejpam-5907	31	23	3	3	NUM
ejpam-5907	31	24	)	)	PUNCT
ejpam-5907	31	25	then	then	ADV
ejpam-5907	31	26	γ(ζ	γ(ζ	NOUN
ejpam-5907	31	27	)	)	PUNCT
ejpam-5907	31	28	≺	≺	NOUN
ejpam-5907	31	29	p(ζ	p(ζ	PROPN
ejpam-5907	31	30	)	)	PUNCT
ejpam-5907	31	31	.	.	PUNCT
ejpam-5907	32	1	due	due	ADP
ejpam-5907	32	2	to	to	ADP
ejpam-5907	32	3	the	the	DET
ejpam-5907	32	4	result	result	NOUN
ejpam-5907	32	5	of	of	ADP
ejpam-5907	32	6	miller	miller	PROPN
ejpam-5907	32	7	et	et	PROPN
ejpam-5907	32	8	al	al	PROPN
ejpam-5907	32	9	.	.	PUNCT
ejpam-5907	33	1	[	[	X
ejpam-5907	33	2	12	12	NUM
ejpam-5907	33	3	]	]	PUNCT
ejpam-5907	33	4	,	,	PUNCT
ejpam-5907	33	5	bulboaca	bulboaca	ADV
ejpam-5907	33	6	in	in	ADP
ejpam-5907	33	7	[	[	PUNCT
ejpam-5907	33	8	13	13	NUM
ejpam-5907	33	9	]	]	PUNCT
ejpam-5907	33	10	studied	study	VERB
ejpam-5907	33	11	a	a	DET
ejpam-5907	33	12	subclass	subclass	NOUN
ejpam-5907	33	13	of	of	ADP
ejpam-5907	33	14	first	first	ADJ
ejpam-5907	33	15	-	-	PUNCT
ejpam-5907	33	16	order	order	NOUN
ejpam-5907	33	17	differential	differential	ADJ
ejpam-5907	33	18	superordination	superordination	NOUN
ejpam-5907	33	19	whenever	whenever	SCONJ
ejpam-5907	33	20	the	the	DET
ejpam-5907	33	21	superordination	superordination	NOUN
ejpam-5907	33	22	preserves	preserve	VERB
ejpam-5907	33	23	operators	operator	NOUN
ejpam-5907	33	24	.	.	PUNCT
ejpam-5907	34	1	moreover	moreover	ADV
ejpam-5907	34	2	,	,	PUNCT
ejpam-5907	34	3	ali	ali	PROPN
ejpam-5907	34	4	et	et	PROPN
ejpam-5907	34	5	al	al	PROPN
ejpam-5907	34	6	.	.	PUNCT
ejpam-5907	35	1	[	[	X
ejpam-5907	35	2	14	14	NUM
ejpam-5907	35	3	]	]	PUNCT
ejpam-5907	35	4	studied	study	VERB
ejpam-5907	35	5	the	the	DET
ejpam-5907	35	6	sufficient	sufficient	ADJ
ejpam-5907	35	7	condition	condition	NOUN
ejpam-5907	35	8	for	for	ADP
ejpam-5907	35	9	a	a	DET
ejpam-5907	35	10	function	function	NOUN
ejpam-5907	35	11	f	f	PROPN
ejpam-5907	35	12	∈	∈	PROPN
ejpam-5907	35	13	a	a	PRON
ejpam-5907	35	14	to	to	PART
ejpam-5907	35	15	satisfy	satisfy	VERB
ejpam-5907	35	16	γ1(ζ	γ1(ζ	NUM
ejpam-5907	35	17	)	)	PUNCT
ejpam-5907	35	18	≺	≺	NOUN
ejpam-5907	35	19	ζf	ζf	PRON
ejpam-5907	35	20	′(ζ	′(ζ	NOUN
ejpam-5907	35	21	)	)	PUNCT
ejpam-5907	35	22	f(ζ	f(ζ	NOUN
ejpam-5907	35	23	)	)	PUNCT
ejpam-5907	35	24	≺	≺	NOUN
ejpam-5907	35	25	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	35	26	)	)	PUNCT
ejpam-5907	35	27	,	,	PUNCT
ejpam-5907	35	28	where	where	SCONJ
ejpam-5907	35	29	γ1(ζ	γ1(ζ	X
ejpam-5907	35	30	)	)	PUNCT
ejpam-5907	35	31	and	and	CCONJ
ejpam-5907	35	32	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	35	33	)	)	PUNCT
ejpam-5907	35	34	are	be	AUX
ejpam-5907	35	35	analytic	analytic	ADJ
ejpam-5907	35	36	functions	function	NOUN
ejpam-5907	35	37	with	with	ADP
ejpam-5907	35	38	γ1(0	γ1(0	PROPN
ejpam-5907	35	39	)	)	PUNCT
ejpam-5907	35	40	=	=	SYM
ejpam-5907	35	41	γ2(0	γ2(0	PROPN
ejpam-5907	35	42	)	)	PUNCT
ejpam-5907	35	43	=	=	PUNCT
ejpam-5907	36	1	1	1	X
ejpam-5907	36	2	.	.	PUNCT
ejpam-5907	36	3	a	a	DET
ejpam-5907	36	4	detailed	detailed	ADJ
ejpam-5907	36	5	investigation	investigation	NOUN
ejpam-5907	36	6	of	of	ADP
ejpam-5907	36	7	subordination	subordination	NOUN
ejpam-5907	36	8	and	and	CCONJ
ejpam-5907	36	9	superordination	superordination	NOUN
ejpam-5907	36	10	is	be	AUX
ejpam-5907	36	11	given	give	VERB
ejpam-5907	36	12	by	by	ADP
ejpam-5907	36	13	many	many	ADJ
ejpam-5907	36	14	authors	author	NOUN
ejpam-5907	36	15	(	(	PUNCT
ejpam-5907	36	16	see	see	VERB
ejpam-5907	36	17	[	[	X
ejpam-5907	36	18	15–17	15–17	NUM
ejpam-5907	36	19	]	]	PUNCT
ejpam-5907	36	20	)	)	PUNCT
ejpam-5907	36	21	.	.	PUNCT
ejpam-5907	37	1	komatu	komatu	PROPN
ejpam-5907	38	1	[	[	X
ejpam-5907	38	2	18	18	NUM
ejpam-5907	38	3	]	]	PUNCT
ejpam-5907	38	4	considered	consider	VERB
ejpam-5907	38	5	the	the	DET
ejpam-5907	38	6	linear	linear	ADJ
ejpam-5907	38	7	integral	integral	ADJ
ejpam-5907	38	8	operator	operator	NOUN
ejpam-5907	38	9	for	for	ADP
ejpam-5907	38	10	σ	σ	PROPN
ejpam-5907	38	11	∈	∈	PROPN
ejpam-5907	38	12	c	c	PROPN
ejpam-5907	38	13	as	as	SCONJ
ejpam-5907	38	14	follows	follow	VERB
ejpam-5907	38	15	f	f	PROPN
ejpam-5907	38	16	σ(ζ	σ(ζ	PROPN
ejpam-5907	38	17	)	)	PUNCT
ejpam-5907	38	18	=	=	PUNCT
ejpam-5907	38	19	2σ	2σ	NOUN
ejpam-5907	38	20	γ(σ	γ(σ	ADJ
ejpam-5907	38	21	)	)	PUNCT
ejpam-5907	38	22	∫	∫	PROPN
ejpam-5907	39	1	ζ	ζ	NOUN
ejpam-5907	39	2	0	0	NUM
ejpam-5907	40	1	(	(	PUNCT
ejpam-5907	40	2	log	log	NOUN
ejpam-5907	40	3	t	t	PROPN
ejpam-5907	40	4	ζ	ζ	NOUN
ejpam-5907	40	5	)	)	PUNCT
ejpam-5907	41	1	σ−1	σ−1	PROPN
ejpam-5907	41	2	f(t)dt	f(t)dt	NOUN
ejpam-5907	41	3	=	=	SYM
ejpam-5907	41	4	ζ	ζ	NOUN
ejpam-5907	41	5	+	+	NOUN
ejpam-5907	41	6	∞∑	∞∑	NUM
ejpam-5907	41	7	n=2	n=2	AUX
ejpam-5907	41	8	an	an	DET
ejpam-5907	41	9	nσ	nσ	NOUN
ejpam-5907	41	10	ζn	ζn	PROPN
ejpam-5907	41	11	.	.	PUNCT
ejpam-5907	41	12	e.	e.	PROPN
ejpam-5907	41	13	amini	amini	PROPN
ejpam-5907	41	14	,	,	PUNCT
ejpam-5907	41	15	s.	s.	PROPN
ejpam-5907	41	16	al	al	PROPN
ejpam-5907	41	17	-	-	PUNCT
ejpam-5907	41	18	omari	omari	PROPN
ejpam-5907	41	19	,	,	PUNCT
ejpam-5907	41	20	m.	m.	NOUN
ejpam-5907	41	21	khandaqji	khandaqji	PROPN
ejpam-5907	41	22	/	/	SYM
ejpam-5907	41	23	eur	eur	PROPN
ejpam-5907	41	24	.	.	PUNCT
ejpam-5907	42	1	j.	j.	PROPN
ejpam-5907	42	2	pure	pure	PROPN
ejpam-5907	42	3	appl	appl	PROPN
ejpam-5907	42	4	.	.	PROPN
ejpam-5907	42	5	math	math	PROPN
ejpam-5907	42	6	,	,	PUNCT
ejpam-5907	42	7	18	18	NUM
ejpam-5907	42	8	(	(	PUNCT
ejpam-5907	42	9	2	2	NUM
ejpam-5907	42	10	)	)	PUNCT
ejpam-5907	42	11	(	(	PUNCT
ejpam-5907	42	12	2025	2025	NUM
ejpam-5907	42	13	)	)	PUNCT
ejpam-5907	42	14	,	,	PUNCT
ejpam-5907	42	15	5907	5907	NUM
ejpam-5907	42	16	3	3	NUM
ejpam-5907	42	17	of	of	ADP
ejpam-5907	42	18	22	22	NUM
ejpam-5907	42	19	the	the	DET
ejpam-5907	42	20	pochhammer	pochhammer	NOUN
ejpam-5907	42	21	symbol	symbol	NOUN
ejpam-5907	42	22	,	,	PUNCT
ejpam-5907	42	23	denoted	denote	VERB
ejpam-5907	42	24	by	by	ADP
ejpam-5907	42	25	(	(	PUNCT
ejpam-5907	42	26	µ)m	µ)m	NUM
ejpam-5907	42	27	,	,	PUNCT
ejpam-5907	42	28	is	be	AUX
ejpam-5907	42	29	defined	define	VERB
ejpam-5907	42	30	by	by	ADP
ejpam-5907	42	31	(	(	PUNCT
ejpam-5907	42	32	µ)m	µ)m	X
ejpam-5907	42	33	=	=	SYM
ejpam-5907	42	34	{	{	PUNCT
ejpam-5907	42	35	0	0	NUM
ejpam-5907	42	36	,	,	PUNCT
ejpam-5907	42	37	n	n	NOUN
ejpam-5907	42	38	=	=	SYM
ejpam-5907	42	39	0	0	NUM
ejpam-5907	42	40	,	,	PUNCT
ejpam-5907	42	41	µ	µ	DET
ejpam-5907	42	42	̸=	̸=	PROPN
ejpam-5907	42	43	0	0	NUM
ejpam-5907	42	44	,	,	PUNCT
ejpam-5907	42	45	µ(µ+	µ(µ+	VERB
ejpam-5907	42	46	1)	1)	NUM
ejpam-5907	42	47	...	...	PUNCT
ejpam-5907	43	1	(µ+	(µ+	NUM
ejpam-5907	43	2	n−	n−	NOUN
ejpam-5907	43	3	1	1	NUM
ejpam-5907	43	4	)	)	PUNCT
ejpam-5907	43	5	,	,	PUNCT
ejpam-5907	43	6	n	n	PROPN
ejpam-5907	43	7	∈	∈	PROPN
ejpam-5907	43	8	n.	n.	NOUN
ejpam-5907	43	9	(	(	PUNCT
ejpam-5907	43	10	4	4	NUM
ejpam-5907	43	11	)	)	PUNCT
ejpam-5907	43	12	sharma	sharma	NOUN
ejpam-5907	43	13	and	and	CCONJ
ejpam-5907	43	14	jain	jain	PROPN
ejpam-5907	44	1	[	[	X
ejpam-5907	44	2	19	19	NUM
ejpam-5907	44	3	]	]	PUNCT
ejpam-5907	44	4	introduced	introduce	VERB
ejpam-5907	44	5	them	they	PRON
ejpam-5907	44	6	-series	-serie	NOUN
ejpam-5907	44	7	as	as	ADP
ejpam-5907	44	8	a	a	DET
ejpam-5907	44	9	function	function	NOUN
ejpam-5907	44	10	defined	define	VERB
ejpam-5907	44	11	by	by	ADP
ejpam-5907	44	12	means	mean	NOUN
ejpam-5907	44	13	of	of	ADP
ejpam-5907	44	14	the	the	DET
ejpam-5907	44	15	power	power	NOUN
ejpam-5907	44	16	series	series	PROPN
ejpam-5907	44	17	α	α	PROPN
ejpam-5907	44	18	pm	pm	VERB
ejpam-5907	44	19	β	β	X
ejpam-5907	44	20	q	q	X
ejpam-5907	44	21	(	(	PUNCT
ejpam-5907	44	22	(	(	PUNCT
ejpam-5907	44	23	aj)n	aj)n	PROPN
ejpam-5907	44	24	,	,	PUNCT
ejpam-5907	44	25	(	(	PUNCT
ejpam-5907	44	26	bj)n	bj)n	PROPN
ejpam-5907	44	27	,	,	PUNCT
ejpam-5907	44	28	ζ	ζ	NOUN
ejpam-5907	44	29	)	)	PUNCT
ejpam-5907	44	30	=	=	SYM
ejpam-5907	45	1	∞∑	∞∑	NUM
ejpam-5907	45	2	n=0	n=0	NUM
ejpam-5907	45	3	(	(	PUNCT
ejpam-5907	45	4	a1)n	a1)n	ADJ
ejpam-5907	45	5	...	...	PUNCT
ejpam-5907	45	6	(ap)n	(ap)n	PUNCT
ejpam-5907	45	7	(	(	PUNCT
ejpam-5907	45	8	b1)n	b1)n	ADJ
ejpam-5907	45	9	...	...	PUNCT
ejpam-5907	45	10	(bq)n	(bq)n	VERB
ejpam-5907	46	1	ζn	ζn	PRON
ejpam-5907	46	2	γ(αn+	γ(αn+	ADP
ejpam-5907	46	3	β	β	X
ejpam-5907	46	4	(	(	PUNCT
ejpam-5907	46	5	5	5	NUM
ejpam-5907	46	6	)	)	PUNCT
ejpam-5907	46	7	where	where	SCONJ
ejpam-5907	46	8	α	α	X
ejpam-5907	46	9	,	,	PUNCT
ejpam-5907	46	10	β	β	X
ejpam-5907	46	11	,	,	PUNCT
ejpam-5907	46	12	µ	µ	X
ejpam-5907	46	13	∈	∈	NOUN
ejpam-5907	46	14	c	c	NOUN
ejpam-5907	46	15	,	,	PUNCT
ejpam-5907	46	16	re(α	re(α	PROPN
ejpam-5907	46	17	)	)	PUNCT
ejpam-5907	46	18	>	>	X
ejpam-5907	46	19	0	0	PUNCT
ejpam-5907	47	1	and	and	CCONJ
ejpam-5907	47	2	(	(	PUNCT
ejpam-5907	47	3	aj)n	aj)n	PROPN
ejpam-5907	47	4	,	,	PUNCT
ejpam-5907	47	5	(	(	PUNCT
ejpam-5907	47	6	bj)n	bj)n	PROPN
ejpam-5907	47	7	are	be	AUX
ejpam-5907	47	8	the	the	DET
ejpam-5907	47	9	pochhammer	pochhammer	NOUN
ejpam-5907	47	10	symbols	symbol	NOUN
ejpam-5907	47	11	defined	define	VERB
ejpam-5907	47	12	by	by	ADP
ejpam-5907	47	13	(	(	PUNCT
ejpam-5907	47	14	4	4	NUM
ejpam-5907	47	15	)	)	PUNCT
ejpam-5907	47	16	.	.	PUNCT
ejpam-5907	48	1	the	the	DET
ejpam-5907	48	2	series	series	NOUN
ejpam-5907	48	3	(	(	PUNCT
ejpam-5907	48	4	5	5	NUM
ejpam-5907	48	5	)	)	PUNCT
ejpam-5907	48	6	is	be	AUX
ejpam-5907	48	7	not	not	PART
ejpam-5907	48	8	defined	define	VERB
ejpam-5907	48	9	if	if	SCONJ
ejpam-5907	48	10	one	one	NUM
ejpam-5907	48	11	of	of	ADP
ejpam-5907	48	12	the	the	DET
ejpam-5907	48	13	parameter	parameter	PROPN
ejpam-5907	48	14	aj	aj	PROPN
ejpam-5907	48	15	,	,	PUNCT
ejpam-5907	48	16	bs	bs	PROPN
ejpam-5907	48	17	,	,	PUNCT
ejpam-5907	48	18	j	j	PROPN
ejpam-5907	48	19	=	=	SYM
ejpam-5907	48	20	1	1	NUM
ejpam-5907	48	21	,	,	PUNCT
ejpam-5907	48	22	...	...	PUNCT
ejpam-5907	48	23	,	,	PUNCT
ejpam-5907	48	24	p	p	X
ejpam-5907	48	25	,	,	PUNCT
ejpam-5907	48	26	s	s	PART
ejpam-5907	48	27	=	=	NOUN
ejpam-5907	48	28	1	1	NUM
ejpam-5907	48	29	,	,	PUNCT
ejpam-5907	48	30	...	...	PUNCT
ejpam-5907	48	31	,	,	PUNCT
ejpam-5907	48	32	q	q	X
ejpam-5907	48	33	is	be	AUX
ejpam-5907	48	34	a	a	DET
ejpam-5907	48	35	negative	negative	ADJ
ejpam-5907	48	36	integer	integer	NOUN
ejpam-5907	48	37	or	or	CCONJ
ejpam-5907	48	38	zero	zero	NUM
ejpam-5907	48	39	.	.	PUNCT
ejpam-5907	49	1	the	the	DET
ejpam-5907	49	2	series	series	NOUN
ejpam-5907	49	3	(	(	PUNCT
ejpam-5907	49	4	5	5	NUM
ejpam-5907	49	5	)	)	PUNCT
ejpam-5907	49	6	is	be	AUX
ejpam-5907	49	7	convergent	convergent	ADJ
ejpam-5907	49	8	for	for	ADP
ejpam-5907	49	9	all	all	DET
ejpam-5907	49	10	ζ	ζ	NOUN
ejpam-5907	49	11	if	if	SCONJ
ejpam-5907	49	12	p	p	NOUN
ejpam-5907	49	13	≤	≤	X
ejpam-5907	49	14	q	q	PUNCT
ejpam-5907	50	1	(	(	PUNCT
ejpam-5907	50	2	see	see	VERB
ejpam-5907	50	3	[	[	X
ejpam-5907	50	4	19	19	NUM
ejpam-5907	50	5	]	]	NUM
ejpam-5907	50	6	)	)	PUNCT
ejpam-5907	50	7	.	.	PUNCT
ejpam-5907	51	1	the	the	DET
ejpam-5907	51	2	generalized	generalize	VERB
ejpam-5907	51	3	mittag	mittag	ADJ
ejpam-5907	51	4	-	-	PUNCT
ejpam-5907	51	5	leffler	leffler	NOUN
ejpam-5907	51	6	function	function	NOUN
ejpam-5907	51	7	is	be	AUX
ejpam-5907	51	8	a	a	DET
ejpam-5907	51	9	m	m	NOUN
ejpam-5907	51	10	-series	-serie	NOUN
ejpam-5907	51	11	for	for	ADP
ejpam-5907	51	12	p	p	NOUN
ejpam-5907	51	13	=	=	NOUN
ejpam-5907	51	14	q	q	NOUN
ejpam-5907	51	15	=	=	SYM
ejpam-5907	51	16	1	1	NUM
ejpam-5907	51	17	,	,	PUNCT
ejpam-5907	51	18	a	a	DET
ejpam-5907	51	19	=	=	X
ejpam-5907	51	20	µ	µ	X
ejpam-5907	51	21	and	and	CCONJ
ejpam-5907	51	22	b	b	NOUN
ejpam-5907	51	23	=	=	SYM
ejpam-5907	51	24	1	1	NUM
ejpam-5907	51	25	.	.	PUNCT
ejpam-5907	52	1	thus	thus	ADV
ejpam-5907	52	2	,	,	PUNCT
ejpam-5907	52	3	this	this	DET
ejpam-5907	52	4	function	function	NOUN
ejpam-5907	52	5	is	be	AUX
ejpam-5907	52	6	defined	define	VERB
ejpam-5907	52	7	by	by	ADP
ejpam-5907	52	8	the	the	DET
ejpam-5907	52	9	power	power	NOUN
ejpam-5907	52	10	series	series	NOUN
ejpam-5907	52	11	[	[	X
ejpam-5907	52	12	20	20	NUM
ejpam-5907	52	13	]	]	PUNCT
ejpam-5907	52	14	α	α	PROPN
ejpam-5907	53	1	1	1	NUM
ejpam-5907	53	2	m	m	PROPN
ejpam-5907	53	3	β	β	X
ejpam-5907	53	4	1	1	NUM
ejpam-5907	53	5	(	(	PUNCT
ejpam-5907	53	6	µ	µ	NUM
ejpam-5907	53	7	,	,	PUNCT
ejpam-5907	53	8	1	1	NUM
ejpam-5907	53	9	,	,	PUNCT
ejpam-5907	53	10	ζ	ζ	NOUN
ejpam-5907	53	11	)	)	PUNCT
ejpam-5907	53	12	=	=	SYM
ejpam-5907	54	1	∞∑	∞∑	NUM
ejpam-5907	54	2	n=0	n=0	NUM
ejpam-5907	54	3	(	(	PUNCT
ejpam-5907	54	4	µ)n	µ)n	PUNCT
ejpam-5907	54	5	n!γ(αn+	n!γ(αn+	PROPN
ejpam-5907	54	6	β	β	X
ejpam-5907	54	7	)	)	PUNCT
ejpam-5907	54	8	ζn	ζn	ADP
ejpam-5907	54	9	,	,	PUNCT
ejpam-5907	54	10	(	(	PUNCT
ejpam-5907	54	11	ζ	ζ	NOUN
ejpam-5907	54	12	∈	∈	NOUN
ejpam-5907	54	13	∆	∆	X
ejpam-5907	54	14	)	)	PUNCT
ejpam-5907	54	15	.	.	PUNCT
ejpam-5907	55	1	(	(	PUNCT
ejpam-5907	55	2	6	6	NUM
ejpam-5907	55	3	)	)	PUNCT
ejpam-5907	55	4	where	where	SCONJ
ejpam-5907	55	5	α	α	X
ejpam-5907	55	6	,	,	PUNCT
ejpam-5907	55	7	β	β	X
ejpam-5907	55	8	,	,	PUNCT
ejpam-5907	55	9	µ	µ	X
ejpam-5907	55	10	∈	∈	NOUN
ejpam-5907	55	11	c	c	NOUN
ejpam-5907	55	12	and	and	CCONJ
ejpam-5907	55	13	re(α	re(α	NOUN
ejpam-5907	55	14	)	)	PUNCT
ejpam-5907	55	15	>	>	X
ejpam-5907	56	1	0	0	X
ejpam-5907	56	2	.	.	PUNCT
ejpam-5907	57	1	it	it	PRON
ejpam-5907	57	2	is	be	AUX
ejpam-5907	57	3	clear	clear	ADJ
ejpam-5907	57	4	that	that	SCONJ
ejpam-5907	57	5	the	the	DET
ejpam-5907	57	6	series	series	NOUN
ejpam-5907	57	7	is	be	AUX
ejpam-5907	57	8	convergent	convergent	ADJ
ejpam-5907	57	9	for	for	ADP
ejpam-5907	57	10	all	all	DET
ejpam-5907	57	11	ζ	ζ	NOUN
ejpam-5907	57	12	.	.	PUNCT
ejpam-5907	58	1	a	a	DET
ejpam-5907	58	2	detailed	detailed	ADJ
ejpam-5907	58	3	investigation	investigation	NOUN
ejpam-5907	58	4	of	of	ADP
ejpam-5907	58	5	analytic	analytic	ADJ
ejpam-5907	58	6	function	function	NOUN
ejpam-5907	58	7	by	by	ADP
ejpam-5907	58	8	mittag	mittag	ADJ
ejpam-5907	58	9	-	-	PUNCT
ejpam-5907	58	10	leffler	leffler	NOUN
ejpam-5907	58	11	is	be	AUX
ejpam-5907	58	12	given	give	VERB
ejpam-5907	58	13	by	by	ADP
ejpam-5907	58	14	reserchers	resercher	NOUN
ejpam-5907	58	15	.	.	PUNCT
ejpam-5907	59	1	(	(	PUNCT
ejpam-5907	59	2	see	see	VERB
ejpam-5907	59	3	[	[	X
ejpam-5907	59	4	21	21	NUM
ejpam-5907	59	5	,	,	PUNCT
ejpam-5907	59	6	22	22	NUM
ejpam-5907	59	7	]	]	PUNCT
ejpam-5907	59	8	)	)	PUNCT
ejpam-5907	59	9	.	.	PUNCT
ejpam-5907	60	1	the	the	DET
ejpam-5907	60	2	normalized	normalize	VERB
ejpam-5907	60	3	form	form	NOUN
ejpam-5907	60	4	of	of	ADP
ejpam-5907	60	5	α	α	PROPN
ejpam-5907	60	6	1	1	NUM
ejpam-5907	60	7	m	m	PROPN
ejpam-5907	60	8	β	β	X
ejpam-5907	60	9	1	1	NUM
ejpam-5907	60	10	(	(	PUNCT
ejpam-5907	60	11	µ	µ	NUM
ejpam-5907	60	12	,	,	PUNCT
ejpam-5907	60	13	1	1	NUM
ejpam-5907	60	14	,	,	PUNCT
ejpam-5907	60	15	ζ	ζ	NOUN
ejpam-5907	60	16	)	)	PUNCT
ejpam-5907	60	17	can	can	AUX
ejpam-5907	60	18	be	be	AUX
ejpam-5907	60	19	performed	perform	VERB
ejpam-5907	60	20	as	as	SCONJ
ejpam-5907	60	21	follows	follow	VERB
ejpam-5907	60	22	αe	αe	PROPN
ejpam-5907	60	23	µ	µ	X
ejpam-5907	60	24	β	β	X
ejpam-5907	60	25	(	(	PUNCT
ejpam-5907	60	26	ζ	ζ	NOUN
ejpam-5907	60	27	)	)	PUNCT
ejpam-5907	61	1	=	=	SYM
ejpam-5907	61	2	ζ	ζ	NOUN
ejpam-5907	61	3	+	+	NOUN
ejpam-5907	61	4	∞∑	∞∑	NUM
ejpam-5907	61	5	n=2	n=2	ADV
ejpam-5907	61	6	γ(β)(µ)n−1	γ(β)(µ)n−1	PROPN
ejpam-5907	61	7	(	(	PUNCT
ejpam-5907	61	8	n−	n−	NOUN
ejpam-5907	61	9	1)!γ(α(n−	1)!γ(α(n−	NUM
ejpam-5907	61	10	1	1	NUM
ejpam-5907	61	11	)	)	PUNCT
ejpam-5907	61	12	+	+	CCONJ
ejpam-5907	61	13	β	β	X
ejpam-5907	61	14	)	)	PUNCT
ejpam-5907	61	15	ζn	ζn	ADP
ejpam-5907	61	16	,	,	PUNCT
ejpam-5907	61	17	(	(	PUNCT
ejpam-5907	61	18	ζ	ζ	NOUN
ejpam-5907	61	19	∈	∈	NOUN
ejpam-5907	61	20	∆	∆	PROPN
ejpam-5907	61	21	)	)	PUNCT
ejpam-5907	61	22	.	.	PUNCT
ejpam-5907	62	1	by	by	ADP
ejpam-5907	62	2	making	make	VERB
ejpam-5907	62	3	use	use	NOUN
ejpam-5907	62	4	of	of	ADP
ejpam-5907	62	5	αe	αe	NUM
ejpam-5907	62	6	µ	µ	PROPN
ejpam-5907	62	7	β	β	X
ejpam-5907	62	8	,	,	PUNCT
ejpam-5907	62	9	we	we	PRON
ejpam-5907	62	10	introduce	introduce	VERB
ejpam-5907	62	11	the	the	DET
ejpam-5907	62	12	operator	operator	NOUN
ejpam-5907	62	13	σ	σ	PROPN
ejpam-5907	62	14	αq	αq	ADP
ejpam-5907	62	15	µ	µ	PROPN
ejpam-5907	62	16	β	β	NOUN
ejpam-5907	62	17	:	:	PUNCT
ejpam-5907	62	18	a	a	DET
ejpam-5907	62	19	→	→	SYM
ejpam-5907	62	20	a	a	PRON
ejpam-5907	62	21	,	,	PUNCT
ejpam-5907	62	22	defined	define	VERB
ejpam-5907	62	23	in	in	ADP
ejpam-5907	62	24	terms	term	NOUN
ejpam-5907	62	25	of	of	ADP
ejpam-5907	62	26	the	the	DET
ejpam-5907	62	27	convolution	convolution	NOUN
ejpam-5907	62	28	as	as	ADP
ejpam-5907	62	29	σ	σ	PROPN
ejpam-5907	62	30	αq	αq	ADP
ejpam-5907	62	31	µ	µ	NOUN
ejpam-5907	62	32	βf(ζ	βf(ζ	NOUN
ejpam-5907	62	33	)	)	PUNCT
ejpam-5907	62	34	=	=	SYM
ejpam-5907	62	35	αe	αe	PROPN
ejpam-5907	62	36	µ	µ	X
ejpam-5907	62	37	β	β	X
ejpam-5907	62	38	(	(	PUNCT
ejpam-5907	62	39	ζ	ζ	NOUN
ejpam-5907	62	40	)	)	PUNCT
ejpam-5907	62	41	∗	∗	NOUN
ejpam-5907	62	42	f	f	NOUN
ejpam-5907	62	43	σ(ζ	σ(ζ	PROPN
ejpam-5907	62	44	)	)	PUNCT
ejpam-5907	62	45	=	=	SYM
ejpam-5907	62	46	ζ	ζ	NOUN
ejpam-5907	62	47	+	+	NOUN
ejpam-5907	62	48	∞∑	∞∑	NUM
ejpam-5907	62	49	n=2	n=2	ADV
ejpam-5907	62	50	γ(β)(µ)n−1	γ(β)(µ)n−1	PROPN
ejpam-5907	62	51	nσ(n−	nσ(n−	NUM
ejpam-5907	62	52	1)!γ(α(n−	1)!γ(α(n−	NUM
ejpam-5907	62	53	1	1	NUM
ejpam-5907	62	54	)	)	PUNCT
ejpam-5907	62	55	+	+	CCONJ
ejpam-5907	62	56	β	β	X
ejpam-5907	62	57	)	)	PUNCT
ejpam-5907	62	58	anζ	anζ	NOUN
ejpam-5907	62	59	n	n	CCONJ
ejpam-5907	62	60	,	,	PUNCT
ejpam-5907	62	61	(	(	PUNCT
ejpam-5907	62	62	ζ	ζ	NOUN
ejpam-5907	62	63	∈	∈	NOUN
ejpam-5907	62	64	∆	∆	X
ejpam-5907	62	65	)	)	PUNCT
ejpam-5907	62	66	,	,	PUNCT
ejpam-5907	62	67	where	where	SCONJ
ejpam-5907	62	68	α	α	X
ejpam-5907	62	69	,	,	PUNCT
ejpam-5907	62	70	β	β	X
ejpam-5907	62	71	,	,	PUNCT
ejpam-5907	62	72	µ	µ	NUM
ejpam-5907	62	73	,	,	PUNCT
ejpam-5907	62	74	σ	σ	PROPN
ejpam-5907	62	75	∈	∈	PROPN
ejpam-5907	62	76	c	c	PROPN
ejpam-5907	62	77	and	and	CCONJ
ejpam-5907	62	78	re(α	re(α	NOUN
ejpam-5907	62	79	)	)	PUNCT
ejpam-5907	62	80	>	>	X
ejpam-5907	63	1	0	0	X
ejpam-5907	63	2	.	.	PUNCT
ejpam-5907	64	1	the	the	DET
ejpam-5907	64	2	operator	operator	NOUN
ejpam-5907	64	3	σ	σ	PROPN
ejpam-5907	64	4	αq	αq	ADP
ejpam-5907	64	5	µ	µ	NOUN
ejpam-5907	64	6	βf(ζ	βf(ζ	NOUN
ejpam-5907	64	7	)	)	PUNCT
ejpam-5907	64	8	indeed	indeed	ADV
ejpam-5907	64	9	satisfies	satisfy	VERB
ejpam-5907	64	10	the	the	DET
ejpam-5907	64	11	following	follow	VERB
ejpam-5907	64	12	first	first	ADJ
ejpam-5907	64	13	-	-	PUNCT
ejpam-5907	64	14	order	order	NOUN
ejpam-5907	64	15	differential	differential	NOUN
ejpam-5907	64	16	recurrence	recurrence	NOUN
ejpam-5907	64	17	relation	relation	NOUN
ejpam-5907	64	18	ζ	ζ	PROPN
ejpam-5907	64	19	(	(	PUNCT
ejpam-5907	64	20	σ	σ	PROPN
ejpam-5907	64	21	αq	αq	PROPN
ejpam-5907	64	22	µ	µ	NOUN
ejpam-5907	64	23	βf(ζ	βf(ζ	NUM
ejpam-5907	64	24	)	)	PUNCT
ejpam-5907	64	25	)	)	PUNCT
ejpam-5907	65	1	′	′	NUM
ejpam-5907	65	2	=	=	PUNCT
ejpam-5907	65	3	µσαq	µσαq	NOUN
ejpam-5907	65	4	µ+1	µ+1	NUM
ejpam-5907	65	5	β	β	X
ejpam-5907	65	6	f(ζ)−	f(ζ)−	NOUN
ejpam-5907	65	7	(	(	PUNCT
ejpam-5907	65	8	µ−	µ−	PROPN
ejpam-5907	65	9	1)σαq	1)σαq	NUM
ejpam-5907	65	10	µ	µ	NOUN
ejpam-5907	65	11	βf(ζ	βf(ζ	NUM
ejpam-5907	65	12	)	)	PUNCT
ejpam-5907	65	13	.	.	PUNCT
ejpam-5907	66	1	(	(	PUNCT
ejpam-5907	66	2	7	7	X
ejpam-5907	66	3	)	)	PUNCT
ejpam-5907	66	4	in	in	ADP
ejpam-5907	66	5	this	this	DET
ejpam-5907	66	6	paper	paper	NOUN
ejpam-5907	66	7	,	,	PUNCT
ejpam-5907	66	8	we	we	PRON
ejpam-5907	66	9	study	study	VERB
ejpam-5907	66	10	a	a	DET
ejpam-5907	66	11	suitable	suitable	ADJ
ejpam-5907	66	12	class	class	NOUN
ejpam-5907	66	13	of	of	ADP
ejpam-5907	66	14	admissible	admissible	ADJ
ejpam-5907	66	15	functions	function	NOUN
ejpam-5907	66	16	involving	involve	VERB
ejpam-5907	66	17	linear	linear	ADJ
ejpam-5907	66	18	generalized	generalize	VERB
ejpam-5907	66	19	mittag	mittag	ADJ
ejpam-5907	66	20	-	-	PUNCT
ejpam-5907	66	21	leffler	leffler	NOUN
ejpam-5907	66	22	and	and	CCONJ
ejpam-5907	66	23	komatu	komatu	ADJ
ejpam-5907	66	24	integral	integral	ADJ
ejpam-5907	66	25	operators	operator	NOUN
ejpam-5907	66	26	.	.	PUNCT
ejpam-5907	67	1	we	we	PRON
ejpam-5907	67	2	also	also	ADV
ejpam-5907	67	3	derive	derive	VERB
ejpam-5907	67	4	several	several	ADJ
ejpam-5907	67	5	sufficient	sufficient	ADJ
ejpam-5907	67	6	conditions	condition	NOUN
ejpam-5907	67	7	e.	e.	PROPN
ejpam-5907	67	8	amini	amini	PROPN
ejpam-5907	67	9	,	,	PUNCT
ejpam-5907	67	10	s.	s.	PROPN
ejpam-5907	67	11	al	al	PROPN
ejpam-5907	67	12	-	-	PUNCT
ejpam-5907	67	13	omari	omari	PROPN
ejpam-5907	67	14	,	,	PUNCT
ejpam-5907	67	15	m.	m.	NOUN
ejpam-5907	67	16	khandaqji	khandaqji	PROPN
ejpam-5907	67	17	/	/	SYM
ejpam-5907	67	18	eur	eur	PROPN
ejpam-5907	67	19	.	.	PUNCT
ejpam-5907	68	1	j.	j.	PROPN
ejpam-5907	68	2	pure	pure	PROPN
ejpam-5907	68	3	appl	appl	PROPN
ejpam-5907	68	4	.	.	PROPN
ejpam-5907	68	5	math	math	PROPN
ejpam-5907	68	6	,	,	PUNCT
ejpam-5907	68	7	18	18	NUM
ejpam-5907	68	8	(	(	PUNCT
ejpam-5907	68	9	2	2	NUM
ejpam-5907	68	10	)	)	PUNCT
ejpam-5907	68	11	(	(	PUNCT
ejpam-5907	68	12	2025	2025	NUM
ejpam-5907	68	13	)	)	PUNCT
ejpam-5907	68	14	,	,	PUNCT
ejpam-5907	68	15	5907	5907	NUM
ejpam-5907	68	16	4	4	NUM
ejpam-5907	68	17	of	of	ADP
ejpam-5907	68	18	22	22	NUM
ejpam-5907	68	19	of	of	ADP
ejpam-5907	68	20	two	two	NUM
ejpam-5907	68	21	-	-	PUNCT
ejpam-5907	68	22	order	order	NOUN
ejpam-5907	68	23	differential	differential	ADJ
ejpam-5907	68	24	subordinations	subordination	NOUN
ejpam-5907	68	25	and	and	CCONJ
ejpam-5907	68	26	superordinations	superordination	NOUN
ejpam-5907	68	27	of	of	ADP
ejpam-5907	68	28	analytic	analytic	ADJ
ejpam-5907	68	29	univalent	univalent	ADJ
ejpam-5907	68	30	functions	function	NOUN
ejpam-5907	68	31	on	on	ADP
ejpam-5907	68	32	an	an	DET
ejpam-5907	68	33	open	open	ADJ
ejpam-5907	68	34	unit	unit	NOUN
ejpam-5907	68	35	disc	disc	NOUN
ejpam-5907	68	36	∆.	∆.	PRON
ejpam-5907	68	37	moreover	moreover	ADV
ejpam-5907	68	38	,	,	PUNCT
ejpam-5907	68	39	we	we	PRON
ejpam-5907	68	40	obtain	obtain	VERB
ejpam-5907	68	41	some	some	DET
ejpam-5907	68	42	sandwich	sandwich	NOUN
ejpam-5907	68	43	-	-	PUNCT
ejpam-5907	68	44	type	type	NOUN
ejpam-5907	68	45	subordination	subordination	NOUN
ejpam-5907	68	46	of	of	ADP
ejpam-5907	68	47	the	the	DET
ejpam-5907	68	48	subsequent	subsequent	ADJ
ejpam-5907	68	49	form	form	NOUN
ejpam-5907	68	50	:	:	PUNCT
ejpam-5907	68	51	γ1(ζ	γ1(ζ	NUM
ejpam-5907	68	52	)	)	PUNCT
ejpam-5907	68	53	≺	≺	NOUN
ejpam-5907	68	54	σ	σ	PROPN
ejpam-5907	68	55	αq	αq	ADP
ejpam-5907	68	56	µ	µ	X
ejpam-5907	68	57	βf(ζ	βf(ζ	NUM
ejpam-5907	68	58	)	)	PUNCT
ejpam-5907	68	59	≺	≺	NOUN
ejpam-5907	68	60	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	68	61	)	)	PUNCT
ejpam-5907	68	62	,	,	PUNCT
ejpam-5907	68	63	where	where	SCONJ
ejpam-5907	68	64	γ1(ζ	γ1(ζ	X
ejpam-5907	68	65	)	)	PUNCT
ejpam-5907	68	66	and	and	CCONJ
ejpam-5907	68	67	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	68	68	)	)	PUNCT
ejpam-5907	68	69	are	be	AUX
ejpam-5907	68	70	analytic	analytic	ADJ
ejpam-5907	68	71	functions	function	NOUN
ejpam-5907	68	72	with	with	ADP
ejpam-5907	68	73	γ1(0	γ1(0	PROPN
ejpam-5907	68	74	)	)	PUNCT
ejpam-5907	69	1	=	=	SYM
ejpam-5907	69	2	0	0	NUM
ejpam-5907	69	3	and	and	CCONJ
ejpam-5907	69	4	γ2(0	γ2(0	PROPN
ejpam-5907	69	5	)	)	PUNCT
ejpam-5907	70	1	=	=	PUNCT
ejpam-5907	70	2	0	0	NUM
ejpam-5907	70	3	.	.	NOUN
ejpam-5907	70	4	2	2	NUM
ejpam-5907	70	5	.	.	X
ejpam-5907	70	6	preliminaries	preliminary	NOUN
ejpam-5907	70	7	lemma	lemma	VERB
ejpam-5907	70	8	the	the	DET
ejpam-5907	70	9	following	following	ADJ
ejpam-5907	70	10	lemmas	lemma	NOUN
ejpam-5907	70	11	are	be	AUX
ejpam-5907	70	12	very	very	ADV
ejpam-5907	70	13	useful	useful	ADJ
ejpam-5907	70	14	in	in	ADP
ejpam-5907	70	15	our	our	PRON
ejpam-5907	70	16	investigation	investigation	NOUN
ejpam-5907	70	17	.	.	PUNCT
ejpam-5907	71	1	we	we	PRON
ejpam-5907	71	2	first	first	ADV
ejpam-5907	71	3	recall	recall	VERB
ejpam-5907	71	4	some	some	DET
ejpam-5907	71	5	definitions	definition	NOUN
ejpam-5907	71	6	.	.	PUNCT
ejpam-5907	72	1	definition	definition	NOUN
ejpam-5907	72	2	1	1	NUM
ejpam-5907	72	3	.	.	PUNCT
ejpam-5907	73	1	[	[	X
ejpam-5907	73	2	12	12	NUM
ejpam-5907	73	3	]	]	PUNCT
ejpam-5907	73	4	let	let	VERB
ejpam-5907	73	5	ζ̃	ζ̃	PROPN
ejpam-5907	73	6	∈	∈	PROPN
ejpam-5907	73	7	∆−e(f	∆−e(f	PROPN
ejpam-5907	73	8	)	)	PUNCT
ejpam-5907	73	9	.	.	PUNCT
ejpam-5907	74	1	the	the	DET
ejpam-5907	74	2	set	set	NOUN
ejpam-5907	74	3	of	of	ADP
ejpam-5907	74	4	all	all	DET
ejpam-5907	74	5	functions	function	NOUN
ejpam-5907	74	6	f(ζ	f(ζ	NOUN
ejpam-5907	74	7	)	)	PUNCT
ejpam-5907	74	8	∈	∈	PROPN
ejpam-5907	74	9	s	s	PROPN
ejpam-5907	74	10	on	on	ADP
ejpam-5907	74	11	∆−e(f	∆−e(f	PROPN
ejpam-5907	74	12	)	)	PUNCT
ejpam-5907	74	13	such	such	ADJ
ejpam-5907	74	14	that	that	SCONJ
ejpam-5907	74	15	f	f	PROPN
ejpam-5907	74	16	′(ζ̃	′(ζ̃	NOUN
ejpam-5907	74	17	)	)	PUNCT
ejpam-5907	74	18	̸=	̸=	PROPN
ejpam-5907	74	19	0	0	NUM
ejpam-5907	74	20	is	be	AUX
ejpam-5907	74	21	denoted	denote	VERB
ejpam-5907	74	22	by	by	ADP
ejpam-5907	74	23	h	h	NOUN
ejpam-5907	74	24	,	,	PUNCT
ejpam-5907	74	25	where	where	SCONJ
ejpam-5907	74	26	e(f	e(f	PROPN
ejpam-5907	74	27	)	)	PUNCT
ejpam-5907	74	28	=	=	PRON
ejpam-5907	74	29	{	{	PUNCT
ejpam-5907	74	30	ζ̃	ζ̃	PROPN
ejpam-5907	74	31	,	,	PUNCT
ejpam-5907	74	32	ζ̃	ζ̃	PROPN
ejpam-5907	74	33	∈	∈	PROPN
ejpam-5907	74	34	∂∆	∂∆	NOUN
ejpam-5907	74	35	:	:	PUNCT
ejpam-5907	75	1	lim	lim	PROPN
ejpam-5907	75	2	ζ→ζ̃	ζ→ζ̃	NUM
ejpam-5907	75	3	f(ζ	f(ζ	NOUN
ejpam-5907	75	4	)	)	PUNCT
ejpam-5907	76	1	=	=	PUNCT
ejpam-5907	77	1	+	+	ADJ
ejpam-5907	77	2	∞	∞	NOUN
ejpam-5907	77	3	}	}	PUNCT
ejpam-5907	77	4	.	.	PUNCT
ejpam-5907	78	1	definition	definition	NOUN
ejpam-5907	78	2	2	2	NUM
ejpam-5907	78	3	.	.	PUNCT
ejpam-5907	79	1	[	[	X
ejpam-5907	79	2	13	13	NUM
ejpam-5907	79	3	]	]	PUNCT
ejpam-5907	79	4	let	let	VERB
ejpam-5907	79	5	ω	ω	PRON
ejpam-5907	79	6	be	be	AUX
ejpam-5907	79	7	a	a	DET
ejpam-5907	79	8	subset	subset	NOUN
ejpam-5907	79	9	of	of	ADP
ejpam-5907	79	10	c	c	PROPN
ejpam-5907	79	11	and	and	CCONJ
ejpam-5907	79	12	γ	γ	PROPN
ejpam-5907	79	13	∈	∈	PROPN
ejpam-5907	79	14	h.	h.	NOUN
ejpam-5907	79	15	the	the	DET
ejpam-5907	79	16	class	class	NOUN
ejpam-5907	79	17	ψn[ω	ψn[ω	PROPN
ejpam-5907	79	18	,	,	PUNCT
ejpam-5907	79	19	γ	γ	X
ejpam-5907	79	20	]	]	X
ejpam-5907	79	21	of	of	ADP
ejpam-5907	79	22	admissible	admissible	ADJ
ejpam-5907	79	23	functions	function	NOUN
ejpam-5907	79	24	,	,	PUNCT
ejpam-5907	79	25	consists	consist	VERB
ejpam-5907	79	26	of	of	ADP
ejpam-5907	79	27	the	the	DET
ejpam-5907	79	28	complex	complex	ADV
ejpam-5907	79	29	-	-	PUNCT
ejpam-5907	79	30	valued	value	VERB
ejpam-5907	79	31	functions	function	NOUN
ejpam-5907	79	32	ψ	ψ	NOUN
ejpam-5907	79	33	:	:	PUNCT
ejpam-5907	79	34	c3	c3	PROPN
ejpam-5907	79	35	×	×	PROPN
ejpam-5907	79	36	∆	∆	PUNCT
ejpam-5907	79	37	−→	−→	NOUN
ejpam-5907	79	38	c	c	NOUN
ejpam-5907	79	39	,	,	PUNCT
ejpam-5907	79	40	which	which	PRON
ejpam-5907	79	41	satisfy	satisfy	VERB
ejpam-5907	79	42	the	the	DET
ejpam-5907	79	43	following	follow	VERB
ejpam-5907	79	44	admissibility	admissibility	NOUN
ejpam-5907	79	45	conditions	condition	NOUN
ejpam-5907	79	46	:	:	PUNCT
ejpam-5907	79	47	ψ(θ1	ψ(θ1	PROPN
ejpam-5907	79	48	,	,	PUNCT
ejpam-5907	79	49	θ2	θ2	PROPN
ejpam-5907	79	50	,	,	PUNCT
ejpam-5907	79	51	θ3	θ3	PROPN
ejpam-5907	79	52	;	;	PUNCT
ejpam-5907	79	53	ζ	ζ	X
ejpam-5907	79	54	)	)	PUNCT
ejpam-5907	79	55	/∈	/∈	PUNCT
ejpam-5907	80	1	ω	ω	INTJ
ejpam-5907	80	2	,	,	PUNCT
ejpam-5907	80	3	whenever	whenever	SCONJ
ejpam-5907	80	4	θ1	θ1	PROPN
ejpam-5907	80	5	=	=	SYM
ejpam-5907	80	6	γ(ζ̃	γ(ζ̃	PROPN
ejpam-5907	80	7	)	)	PUNCT
ejpam-5907	80	8	,	,	PUNCT
ejpam-5907	80	9	θ2	θ2	PROPN
ejpam-5907	80	10	=	=	PUNCT
ejpam-5907	80	11	mζ̃γ′(ζ̃	mζ̃γ′(ζ̃	NOUN
ejpam-5907	80	12	)	)	PUNCT
ejpam-5907	80	13	,	,	PUNCT
ejpam-5907	80	14	and	and	CCONJ
ejpam-5907	80	15	re	re	ADJ
ejpam-5907	80	16	(	(	PUNCT
ejpam-5907	80	17	θ3	θ3	PROPN
ejpam-5907	80	18	θ2	θ2	PROPN
ejpam-5907	80	19	+	+	CCONJ
ejpam-5907	80	20	1	1	X
ejpam-5907	80	21	)	)	PUNCT
ejpam-5907	80	22	≥	≥	NOUN
ejpam-5907	80	23	mre	mre	NOUN
ejpam-5907	80	24	[	[	PUNCT
ejpam-5907	80	25	ζ̃γ′′(ζ̃	ζ̃γ′′(ζ̃	NOUN
ejpam-5907	80	26	)	)	PUNCT
ejpam-5907	80	27	γ′(ζ̃	γ′(ζ̃	NOUN
ejpam-5907	80	28	)	)	PUNCT
ejpam-5907	81	1	+	+	CCONJ
ejpam-5907	81	2	1	1	X
ejpam-5907	81	3	]	]	PUNCT
ejpam-5907	81	4	,	,	PUNCT
ejpam-5907	81	5	where	where	SCONJ
ejpam-5907	81	6	ζ	ζ	X
ejpam-5907	81	7	∈	∈	PROPN
ejpam-5907	81	8	∆	∆	NOUN
ejpam-5907	81	9	,	,	PUNCT
ejpam-5907	81	10	ζ̃	ζ̃	PROPN
ejpam-5907	81	11	∈	∈	PROPN
ejpam-5907	81	12	∂∆−	∂∆−	PROPN
ejpam-5907	81	13	e(q	e(q	PROPN
ejpam-5907	81	14	)	)	PUNCT
ejpam-5907	81	15	and	and	CCONJ
ejpam-5907	81	16	m	m	PROPN
ejpam-5907	81	17	≥	≥	NOUN
ejpam-5907	81	18	1	1	NUM
ejpam-5907	81	19	.	.	PUNCT
ejpam-5907	81	20	lemma	lemma	PROPN
ejpam-5907	81	21	1	1	NUM
ejpam-5907	81	22	.	.	PUNCT
ejpam-5907	82	1	[	[	X
ejpam-5907	82	2	23	23	NUM
ejpam-5907	82	3	]	]	PUNCT
ejpam-5907	82	4	let	let	VERB
ejpam-5907	82	5	ω	ω	PROPN
ejpam-5907	82	6	⊆	⊆	NUM
ejpam-5907	82	7	c	c	NOUN
ejpam-5907	82	8	and	and	CCONJ
ejpam-5907	82	9	ϕ	ϕ	PROPN
ejpam-5907	82	10	∈	∈	PROPN
ejpam-5907	82	11	ψ[ω	ψ[ω	PROPN
ejpam-5907	82	12	,	,	PUNCT
ejpam-5907	82	13	γ	γ	X
ejpam-5907	82	14	]	]	X
ejpam-5907	82	15	.	.	PUNCT
ejpam-5907	83	1	if	if	SCONJ
ejpam-5907	83	2	p	p	PROPN
ejpam-5907	83	3	∈	∈	NOUN
ejpam-5907	83	4	h	h	NOUN
ejpam-5907	83	5	satisfies	satisfy	VERB
ejpam-5907	83	6	the	the	DET
ejpam-5907	83	7	following	follow	VERB
ejpam-5907	83	8	condition	condition	NOUN
ejpam-5907	83	9	{	{	PUNCT
ejpam-5907	83	10	ϕ(p(ζ	ϕ(p(ζ	NOUN
ejpam-5907	83	11	)	)	PUNCT
ejpam-5907	83	12	,	,	PUNCT
ejpam-5907	83	13	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	83	14	)	)	PUNCT
ejpam-5907	83	15	,	,	PUNCT
ejpam-5907	83	16	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	83	17	)	)	PUNCT
ejpam-5907	83	18	;	;	PUNCT
ejpam-5907	83	19	ζ	ζ	X
ejpam-5907	83	20	)	)	PUNCT
ejpam-5907	83	21	:	:	PUNCT
ejpam-5907	83	22	ζ	ζ	PROPN
ejpam-5907	83	23	∈	∈	NOUN
ejpam-5907	83	24	∆	∆	X
ejpam-5907	83	25	}	}	PUNCT
ejpam-5907	83	26	∈	∈	PROPN
ejpam-5907	83	27	ω	ω	PROPN
ejpam-5907	83	28	,	,	PUNCT
ejpam-5907	83	29	then	then	ADV
ejpam-5907	83	30	we	we	PRON
ejpam-5907	83	31	have	have	VERB
ejpam-5907	83	32	the	the	DET
ejpam-5907	83	33	following	follow	VERB
ejpam-5907	83	34	differential	differential	ADJ
ejpam-5907	83	35	subordination	subordination	NOUN
ejpam-5907	83	36	p(ζ	p(ζ	PROPN
ejpam-5907	83	37	)	)	PUNCT
ejpam-5907	83	38	≺	≺	NOUN
ejpam-5907	83	39	γ(ζ	γ(ζ	NOUN
ejpam-5907	83	40	)	)	PUNCT
ejpam-5907	83	41	,	,	PUNCT
ejpam-5907	83	42	(	(	PUNCT
ejpam-5907	83	43	ζ	ζ	NOUN
ejpam-5907	83	44	∈	∈	NOUN
ejpam-5907	83	45	∆	∆	X
ejpam-5907	83	46	)	)	PUNCT
ejpam-5907	83	47	.	.	PUNCT
ejpam-5907	84	1	definition	definition	NOUN
ejpam-5907	84	2	3	3	NUM
ejpam-5907	84	3	.	.	PUNCT
ejpam-5907	85	1	[	[	X
ejpam-5907	85	2	23	23	NUM
ejpam-5907	85	3	]	]	PUNCT
ejpam-5907	85	4	let	let	VERB
ejpam-5907	85	5	ω	ω	PRON
ejpam-5907	85	6	be	be	AUX
ejpam-5907	85	7	a	a	DET
ejpam-5907	85	8	subset	subset	NOUN
ejpam-5907	85	9	of	of	ADP
ejpam-5907	85	10	c	c	PROPN
ejpam-5907	85	11	and	and	CCONJ
ejpam-5907	85	12	γ	γ	PROPN
ejpam-5907	85	13	∈	∈	PROPN
ejpam-5907	85	14	h.	h.	NOUN
ejpam-5907	85	15	the	the	DET
ejpam-5907	85	16	class	class	NOUN
ejpam-5907	85	17	φ[ω	φ[ω	NOUN
ejpam-5907	85	18	,	,	PUNCT
ejpam-5907	85	19	γ	γ	X
ejpam-5907	85	20	]	]	X
ejpam-5907	85	21	of	of	ADP
ejpam-5907	85	22	admissible	admissible	ADJ
ejpam-5907	85	23	complex	complex	NOUN
ejpam-5907	85	24	-	-	PUNCT
ejpam-5907	85	25	valued	value	VERB
ejpam-5907	85	26	functions	function	NOUN
ejpam-5907	85	27	ϕ	ϕ	NOUN
ejpam-5907	85	28	:	:	PUNCT
ejpam-5907	85	29	c3	c3	PROPN
ejpam-5907	85	30	×	×	PROPN
ejpam-5907	85	31	∆	∆	PUNCT
ejpam-5907	85	32	−→	−→	NOUN
ejpam-5907	85	33	c	c	NOUN
ejpam-5907	85	34	,	,	PUNCT
ejpam-5907	85	35	which	which	PRON
ejpam-5907	85	36	satisfy	satisfy	VERB
ejpam-5907	85	37	the	the	DET
ejpam-5907	85	38	following	follow	VERB
ejpam-5907	85	39	admissibility	admissibility	NOUN
ejpam-5907	85	40	conditions	condition	NOUN
ejpam-5907	85	41	:	:	PUNCT
ejpam-5907	85	42	ϕ(θ1	ϕ(θ1	PROPN
ejpam-5907	85	43	,	,	PUNCT
ejpam-5907	85	44	θ2	θ2	PROPN
ejpam-5907	85	45	,	,	PUNCT
ejpam-5907	85	46	θ3	θ3	PROPN
ejpam-5907	85	47	;	;	PUNCT
ejpam-5907	85	48	ζ	ζ	X
ejpam-5907	85	49	)	)	PUNCT
ejpam-5907	85	50	∈	∈	PROPN
ejpam-5907	85	51	ω	ω	PROPN
ejpam-5907	85	52	,	,	PUNCT
ejpam-5907	85	53	e.	e.	PROPN
ejpam-5907	85	54	amini	amini	PROPN
ejpam-5907	85	55	,	,	PUNCT
ejpam-5907	85	56	s.	s.	PROPN
ejpam-5907	85	57	al	al	PROPN
ejpam-5907	85	58	-	-	PUNCT
ejpam-5907	85	59	omari	omari	PROPN
ejpam-5907	85	60	,	,	PUNCT
ejpam-5907	85	61	m.	m.	NOUN
ejpam-5907	85	62	khandaqji	khandaqji	PROPN
ejpam-5907	85	63	/	/	SYM
ejpam-5907	85	64	eur	eur	PROPN
ejpam-5907	85	65	.	.	PUNCT
ejpam-5907	86	1	j.	j.	PROPN
ejpam-5907	86	2	pure	pure	PROPN
ejpam-5907	86	3	appl	appl	PROPN
ejpam-5907	86	4	.	.	PROPN
ejpam-5907	86	5	math	math	PROPN
ejpam-5907	86	6	,	,	PUNCT
ejpam-5907	86	7	18	18	NUM
ejpam-5907	86	8	(	(	PUNCT
ejpam-5907	86	9	2	2	NUM
ejpam-5907	86	10	)	)	PUNCT
ejpam-5907	86	11	(	(	PUNCT
ejpam-5907	86	12	2025	2025	NUM
ejpam-5907	86	13	)	)	PUNCT
ejpam-5907	86	14	,	,	PUNCT
ejpam-5907	86	15	5907	5907	NUM
ejpam-5907	86	16	5	5	NUM
ejpam-5907	86	17	of	of	ADP
ejpam-5907	86	18	22	22	NUM
ejpam-5907	86	19	whenever	whenever	SCONJ
ejpam-5907	86	20	θ1	θ1	PROPN
ejpam-5907	86	21	=	=	SYM
ejpam-5907	86	22	γ(ζ̃	γ(ζ̃	PROPN
ejpam-5907	86	23	)	)	PUNCT
ejpam-5907	86	24	,	,	PUNCT
ejpam-5907	86	25	θ2	θ2	PROPN
ejpam-5907	86	26	=	=	SYM
ejpam-5907	86	27	ζ̃γ′(ζ̃	ζ̃γ′(ζ̃	PROPN
ejpam-5907	86	28	)	)	PUNCT
ejpam-5907	86	29	m	m	PROPN
ejpam-5907	86	30	,	,	PUNCT
ejpam-5907	86	31	and	and	CCONJ
ejpam-5907	86	32	re	re	ADJ
ejpam-5907	86	33	(	(	PUNCT
ejpam-5907	86	34	θ3	θ3	PROPN
ejpam-5907	86	35	θ2	θ2	PROPN
ejpam-5907	86	36	+	+	CCONJ
ejpam-5907	86	37	1	1	NUM
ejpam-5907	86	38	)	)	PUNCT
ejpam-5907	86	39	≥	≥	NOUN
ejpam-5907	86	40	1	1	NUM
ejpam-5907	86	41	m	m	VERB
ejpam-5907	86	42	re	re	X
ejpam-5907	86	43	[	[	PUNCT
ejpam-5907	86	44	ζ̃γ′′(ζ̃	ζ̃γ′′(ζ̃	NOUN
ejpam-5907	86	45	)	)	PUNCT
ejpam-5907	86	46	γ′(ζ̃	γ′(ζ̃	NOUN
ejpam-5907	86	47	)	)	PUNCT
ejpam-5907	87	1	+	+	CCONJ
ejpam-5907	87	2	1	1	X
ejpam-5907	87	3	]	]	PUNCT
ejpam-5907	87	4	,	,	PUNCT
ejpam-5907	87	5	where	where	SCONJ
ejpam-5907	87	6	ζ	ζ	X
ejpam-5907	87	7	∈	∈	PROPN
ejpam-5907	87	8	∆	∆	NOUN
ejpam-5907	87	9	,	,	PUNCT
ejpam-5907	87	10	ζ̃	ζ̃	PROPN
ejpam-5907	87	11	∈	∈	PROPN
ejpam-5907	87	12	∂∆−	∂∆−	PROPN
ejpam-5907	87	13	e(q	e(q	PROPN
ejpam-5907	87	14	)	)	PUNCT
ejpam-5907	87	15	and	and	CCONJ
ejpam-5907	87	16	m	m	PROPN
ejpam-5907	87	17	≥	≥	PROPN
ejpam-5907	87	18	n.	n.	PROPN
ejpam-5907	87	19	lemma	lemma	PROPN
ejpam-5907	87	20	2	2	NUM
ejpam-5907	87	21	.	.	PUNCT
ejpam-5907	88	1	[	[	X
ejpam-5907	88	2	23	23	NUM
ejpam-5907	88	3	]	]	PUNCT
ejpam-5907	88	4	let	let	VERB
ejpam-5907	88	5	ω	ω	PROPN
ejpam-5907	88	6	⊆	⊆	NUM
ejpam-5907	88	7	c	c	NOUN
ejpam-5907	88	8	and	and	CCONJ
ejpam-5907	88	9	ϕ	ϕ	PROPN
ejpam-5907	88	10	∈	∈	PROPN
ejpam-5907	88	11	φ[ω	φ[ω	NOUN
ejpam-5907	88	12	,	,	PUNCT
ejpam-5907	88	13	γ	γ	NOUN
ejpam-5907	88	14	]	]	X
ejpam-5907	88	15	.	.	PUNCT
ejpam-5907	89	1	if	if	SCONJ
ejpam-5907	89	2	p	p	PROPN
ejpam-5907	89	3	∈	∈	PROPN
ejpam-5907	89	4	h	h	NOUN
ejpam-5907	89	5	and	and	CCONJ
ejpam-5907	89	6	ϕ(p(ζ	ϕ(p(ζ	PROPN
ejpam-5907	89	7	)	)	PUNCT
ejpam-5907	89	8	,	,	PUNCT
ejpam-5907	89	9	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	89	10	)	)	PUNCT
ejpam-5907	89	11	,	,	PUNCT
ejpam-5907	89	12	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	89	13	)	)	PUNCT
ejpam-5907	89	14	;	;	PUNCT
ejpam-5907	89	15	ζ	ζ	X
ejpam-5907	89	16	)	)	PUNCT
ejpam-5907	89	17	is	be	AUX
ejpam-5907	89	18	univalent	univalent	ADJ
ejpam-5907	89	19	in	in	ADP
ejpam-5907	89	20	∆	∆	PROPN
ejpam-5907	89	21	,	,	PUNCT
ejpam-5907	89	22	then	then	ADV
ejpam-5907	89	23	ω	ω	PROPN
ejpam-5907	89	24	⊂	⊂	PROPN
ejpam-5907	89	25	{	{	PUNCT
ejpam-5907	89	26	ϕ(p(ζ	ϕ(p(ζ	PROPN
ejpam-5907	89	27	)	)	PUNCT
ejpam-5907	89	28	,	,	PUNCT
ejpam-5907	89	29	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	89	30	)	)	PUNCT
ejpam-5907	89	31	,	,	PUNCT
ejpam-5907	89	32	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	89	33	)	)	PUNCT
ejpam-5907	89	34	;	;	PUNCT
ejpam-5907	89	35	ζ	ζ	X
ejpam-5907	89	36	)	)	PUNCT
ejpam-5907	89	37	:	:	PUNCT
ejpam-5907	89	38	ζ	ζ	PROPN
ejpam-5907	89	39	∈	∈	NOUN
ejpam-5907	89	40	∆	∆	PROPN
ejpam-5907	89	41	}	}	PUNCT
ejpam-5907	89	42	,	,	PUNCT
ejpam-5907	89	43	implies	imply	VERB
ejpam-5907	89	44	that	that	SCONJ
ejpam-5907	89	45	the	the	DET
ejpam-5907	89	46	differential	differential	ADJ
ejpam-5907	89	47	subordination	subordination	NOUN
ejpam-5907	89	48	is	be	AUX
ejpam-5907	89	49	as	as	SCONJ
ejpam-5907	89	50	follows	follow	VERB
ejpam-5907	89	51	γ(ζ	γ(ζ	NOUN
ejpam-5907	89	52	)	)	PUNCT
ejpam-5907	89	53	≺	≺	NOUN
ejpam-5907	89	54	p(ζ	p(ζ	PROPN
ejpam-5907	89	55	)	)	PUNCT
ejpam-5907	89	56	,	,	PUNCT
ejpam-5907	89	57	(	(	PUNCT
ejpam-5907	89	58	ζ	ζ	NOUN
ejpam-5907	89	59	∈	∈	NOUN
ejpam-5907	89	60	∆	∆	X
ejpam-5907	89	61	)	)	PUNCT
ejpam-5907	89	62	.	.	PUNCT
ejpam-5907	90	1	lemma	lemma	PROPN
ejpam-5907	90	2	3	3	X
ejpam-5907	90	3	.	.	PUNCT
ejpam-5907	91	1	[	[	X
ejpam-5907	91	2	2	2	X
ejpam-5907	91	3	]	]	PUNCT
ejpam-5907	91	4	if	if	SCONJ
ejpam-5907	91	5	f	f	PROPN
ejpam-5907	91	6	∈	∈	PROPN
ejpam-5907	91	7	a	a	PRON
ejpam-5907	91	8	is	be	AUX
ejpam-5907	91	9	a	a	DET
ejpam-5907	91	10	univalent	univalent	ADJ
ejpam-5907	91	11	function	function	NOUN
ejpam-5907	91	12	such	such	ADJ
ejpam-5907	91	13	that	that	DET
ejpam-5907	91	14	g(ζ	g(ζ	PROPN
ejpam-5907	91	15	)	)	PUNCT
ejpam-5907	91	16	≺	≺	NOUN
ejpam-5907	91	17	f(ζ	f(ζ	PROPN
ejpam-5907	91	18	)	)	PUNCT
ejpam-5907	91	19	.	.	PUNCT
ejpam-5907	92	1	then	then	ADV
ejpam-5907	92	2	|g(ζ)|	|g(ζ)|	VERB
ejpam-5907	92	3	≤	≤	NUM
ejpam-5907	92	4	|f(ζ)|	|f(ζ)|	NOUN
ejpam-5907	92	5	,	,	PUNCT
ejpam-5907	92	6	for	for	ADP
ejpam-5907	92	7	all	all	DET
ejpam-5907	92	8	ζ	ζ	NOUN
ejpam-5907	92	9	in	in	ADP
ejpam-5907	92	10	the	the	DET
ejpam-5907	92	11	disc	disc	NOUN
ejpam-5907	92	12	|ζ|	|ζ|	NOUN
ejpam-5907	92	13	≤	≤	NOUN
ejpam-5907	92	14	1	1	NUM
ejpam-5907	92	15	2(3−	2(3−	NUM
ejpam-5907	92	16	√	√	NUM
ejpam-5907	92	17	5	5	NUM
ejpam-5907	92	18	)	)	PUNCT
ejpam-5907	92	19	.	.	PUNCT
ejpam-5907	93	1	this	this	DET
ejpam-5907	93	2	radius	radius	NOUN
ejpam-5907	93	3	is	be	AUX
ejpam-5907	93	4	best	well	ADV
ejpam-5907	93	5	possible	possible	ADJ
ejpam-5907	93	6	.	.	PUNCT
ejpam-5907	94	1	lemma	lemma	PROPN
ejpam-5907	94	2	4	4	NUM
ejpam-5907	94	3	.	.	PUNCT
ejpam-5907	95	1	[	[	X
ejpam-5907	95	2	2	2	X
ejpam-5907	95	3	]	]	PUNCT
ejpam-5907	95	4	if	if	SCONJ
ejpam-5907	95	5	f	f	PROPN
ejpam-5907	95	6	∈	∈	PROPN
ejpam-5907	95	7	a	a	PRON
ejpam-5907	95	8	is	be	AUX
ejpam-5907	95	9	a	a	DET
ejpam-5907	95	10	univalent	univalent	ADJ
ejpam-5907	95	11	function	function	NOUN
ejpam-5907	95	12	such	such	ADJ
ejpam-5907	95	13	that	that	DET
ejpam-5907	95	14	g(ζ	g(ζ	PROPN
ejpam-5907	95	15	)	)	PUNCT
ejpam-5907	95	16	≺	≺	NOUN
ejpam-5907	95	17	f(ζ	f(ζ	PROPN
ejpam-5907	95	18	)	)	PUNCT
ejpam-5907	95	19	.	.	PUNCT
ejpam-5907	96	1	then	then	ADV
ejpam-5907	96	2	|g′(ζ)|	|g′(ζ)|	NUM
ejpam-5907	96	3	≤	≤	PUNCT
ejpam-5907	96	4	|f	|f	ADP
ejpam-5907	96	5	′(ζ)|	′(ζ)|	NOUN
ejpam-5907	96	6	for	for	ADP
ejpam-5907	96	7	all	all	DET
ejpam-5907	96	8	ζ	ζ	NOUN
ejpam-5907	96	9	in	in	ADP
ejpam-5907	96	10	the	the	DET
ejpam-5907	96	11	disc	disc	NOUN
ejpam-5907	96	12	|ζ|	|ζ|	NOUN
ejpam-5907	96	13	≤	≤	NOUN
ejpam-5907	96	14	1	1	NUM
ejpam-5907	96	15	2(3−	2(3−	NUM
ejpam-5907	96	16	√	√	PROPN
ejpam-5907	96	17	8)	8)	NUM
ejpam-5907	96	18	.	.	PUNCT
ejpam-5907	97	1	this	this	DET
ejpam-5907	97	2	radius	radius	NOUN
ejpam-5907	97	3	is	be	AUX
ejpam-5907	97	4	best	well	ADV
ejpam-5907	97	5	possible	possible	ADJ
ejpam-5907	97	6	.	.	PUNCT
ejpam-5907	98	1	3	3	X
ejpam-5907	98	2	.	.	X
ejpam-5907	98	3	two	two	NUM
ejpam-5907	98	4	-	-	PUNCT
ejpam-5907	98	5	order	order	NOUN
ejpam-5907	98	6	subordination	subordination	NOUN
ejpam-5907	98	7	result	result	VERB
ejpam-5907	98	8	in	in	ADP
ejpam-5907	98	9	this	this	DET
ejpam-5907	98	10	section	section	NOUN
ejpam-5907	98	11	,	,	PUNCT
ejpam-5907	98	12	we	we	PRON
ejpam-5907	98	13	derive	derive	VERB
ejpam-5907	98	14	a	a	DET
ejpam-5907	98	15	foundation	foundation	NOUN
ejpam-5907	98	16	result	result	NOUN
ejpam-5907	98	17	in	in	ADP
ejpam-5907	98	18	the	the	DET
ejpam-5907	98	19	theory	theory	NOUN
ejpam-5907	98	20	of	of	ADP
ejpam-5907	98	21	second	second	ADJ
ejpam-5907	98	22	-	-	PUNCT
ejpam-5907	98	23	order	order	NOUN
ejpam-5907	98	24	differential	differential	ADJ
ejpam-5907	98	25	subordination	subordination	NOUN
ejpam-5907	98	26	.	.	PUNCT
ejpam-5907	99	1	furthermore	furthermore	ADV
ejpam-5907	99	2	,	,	PUNCT
ejpam-5907	99	3	we	we	PRON
ejpam-5907	99	4	will	will	AUX
ejpam-5907	99	5	take	take	VERB
ejpam-5907	99	6	several	several	ADJ
ejpam-5907	99	7	applications	application	NOUN
ejpam-5907	99	8	on	on	ADP
ejpam-5907	99	9	the	the	DET
ejpam-5907	99	10	boundary	boundary	NOUN
ejpam-5907	99	11	of	of	ADP
ejpam-5907	99	12	∆.	∆.	ADJ
ejpam-5907	99	13	definition	definition	NOUN
ejpam-5907	99	14	4	4	X
ejpam-5907	99	15	.	.	PUNCT
ejpam-5907	100	1	let	let	VERB
ejpam-5907	100	2	ω	ω	PRON
ejpam-5907	100	3	be	be	AUX
ejpam-5907	100	4	a	a	DET
ejpam-5907	100	5	subset	subset	NOUN
ejpam-5907	100	6	of	of	ADP
ejpam-5907	100	7	c	c	PROPN
ejpam-5907	100	8	,	,	PUNCT
ejpam-5907	100	9	γ	γ	PROPN
ejpam-5907	100	10	∈	∈	PROPN
ejpam-5907	100	11	h	h	NOUN
ejpam-5907	100	12	∩	∩	NOUN
ejpam-5907	100	13	a	a	PRON
ejpam-5907	100	14	and	and	CCONJ
ejpam-5907	100	15	µ	µ	PRON
ejpam-5907	100	16	∈	∈	ADJ
ejpam-5907	100	17	c	c	X
ejpam-5907	100	18	,	,	PUNCT
ejpam-5907	100	19	(	(	PUNCT
ejpam-5907	100	20	µ	µ	X
ejpam-5907	100	21	̸=	̸=	PROPN
ejpam-5907	100	22	0	0	NUM
ejpam-5907	100	23	,	,	PUNCT
ejpam-5907	100	24	1	1	NUM
ejpam-5907	100	25	)	)	PUNCT
ejpam-5907	100	26	.	.	PUNCT
ejpam-5907	101	1	we	we	PRON
ejpam-5907	101	2	define	define	VERB
ejpam-5907	101	3	the	the	DET
ejpam-5907	101	4	class	class	NOUN
ejpam-5907	101	5	ψ′(ω	ψ′(ω	PROPN
ejpam-5907	101	6	,	,	PUNCT
ejpam-5907	101	7	γ	γ	NOUN
ejpam-5907	101	8	)	)	PUNCT
ejpam-5907	101	9	of	of	ADP
ejpam-5907	101	10	admissible	admissible	ADJ
ejpam-5907	101	11	complex	complex	ADJ
ejpam-5907	101	12	valued	value	VERB
ejpam-5907	101	13	functions	function	NOUN
ejpam-5907	101	14	ψ′	ψ′	PUNCT
ejpam-5907	101	15	:	:	PUNCT
ejpam-5907	101	16	c3	c3	PROPN
ejpam-5907	101	17	×∆	×∆	PROPN
ejpam-5907	101	18	→	→	SYM
ejpam-5907	101	19	c	c	NOUN
ejpam-5907	101	20	such	such	ADJ
ejpam-5907	101	21	that	that	SCONJ
ejpam-5907	101	22	the	the	DET
ejpam-5907	101	23	following	follow	VERB
ejpam-5907	101	24	admissibility	admissibility	NOUN
ejpam-5907	101	25	conditions	condition	NOUN
ejpam-5907	101	26	hold	hold	VERB
ejpam-5907	101	27	:	:	PUNCT
ejpam-5907	101	28	ψ′(τ1	ψ′(τ1	NOUN
ejpam-5907	101	29	,	,	PUNCT
ejpam-5907	101	30	τ2	τ2	PROPN
ejpam-5907	101	31	,	,	PUNCT
ejpam-5907	101	32	τ3	τ3	NOUN
ejpam-5907	101	33	;	;	PUNCT
ejpam-5907	101	34	ζ	ζ	X
ejpam-5907	101	35	)	)	PUNCT
ejpam-5907	101	36	/∈	/∈	PUNCT
ejpam-5907	102	1	ω	ω	INTJ
ejpam-5907	102	2	,	,	PUNCT
ejpam-5907	102	3	whenever	whenever	SCONJ
ejpam-5907	102	4	τ1	τ1	NOUN
ejpam-5907	102	5	=	=	SYM
ejpam-5907	102	6	γ(ζ̃	γ(ζ̃	PROPN
ejpam-5907	102	7	)	)	PUNCT
ejpam-5907	102	8	,	,	PUNCT
ejpam-5907	102	9	τ2	τ2	NOUN
ejpam-5907	102	10	=	=	SYM
ejpam-5907	102	11	mζ̃γ′(ζ̃	mζ̃γ′(ζ̃	NOUN
ejpam-5907	102	12	)	)	PUNCT
ejpam-5907	102	13	+	+	CCONJ
ejpam-5907	102	14	(	(	PUNCT
ejpam-5907	102	15	µ−	µ−	PROPN
ejpam-5907	102	16	1)γ(ζ̃	1)γ(ζ̃	NUM
ejpam-5907	102	17	)	)	PUNCT
ejpam-5907	102	18	µ	µ	NOUN
ejpam-5907	102	19	,	,	PUNCT
ejpam-5907	102	20	and	and	CCONJ
ejpam-5907	102	21	re	re	ADP
ejpam-5907	102	22	(	(	PUNCT
ejpam-5907	102	23	µ2τ3	µ2τ3	VERB
ejpam-5907	102	24	−	−	PROPN
ejpam-5907	102	25	(	(	PUNCT
ejpam-5907	102	26	µ−	µ−	PROPN
ejpam-5907	102	27	1)τ2	1)τ2	NUM
ejpam-5907	102	28	µτ2	µτ2	VERB
ejpam-5907	102	29	+	+	CCONJ
ejpam-5907	102	30	(	(	PUNCT
ejpam-5907	102	31	µ−	µ−	PROPN
ejpam-5907	102	32	1)τ1	1)τ1	NUM
ejpam-5907	102	33	−	−	PROPN
ejpam-5907	102	34	µ+	µ+	PUNCT
ejpam-5907	102	35	1	1	NUM
ejpam-5907	102	36	)	)	PUNCT
ejpam-5907	102	37	≥	≥	NOUN
ejpam-5907	102	38	mre	mre	PROPN
ejpam-5907	102	39	(	(	PUNCT
ejpam-5907	102	40	ζ̃γ′′(ζ̃	ζ̃γ′′(ζ̃	NOUN
ejpam-5907	102	41	)	)	PUNCT
ejpam-5907	102	42	γ′(ζ̃	γ′(ζ̃	NOUN
ejpam-5907	102	43	)	)	PUNCT
ejpam-5907	103	1	+	+	CCONJ
ejpam-5907	103	2	1	1	X
ejpam-5907	103	3	)	)	PUNCT
ejpam-5907	103	4	,	,	PUNCT
ejpam-5907	103	5	where	where	SCONJ
ejpam-5907	103	6	ζ	ζ	X
ejpam-5907	103	7	∈	∈	PROPN
ejpam-5907	103	8	∆	∆	NOUN
ejpam-5907	103	9	,	,	PUNCT
ejpam-5907	103	10	ζ̃	ζ̃	PROPN
ejpam-5907	103	11	∈	∈	PROPN
ejpam-5907	103	12	∂∆−	∂∆−	PROPN
ejpam-5907	103	13	e(γ	e(γ	PROPN
ejpam-5907	103	14	)	)	PUNCT
ejpam-5907	103	15	and	and	CCONJ
ejpam-5907	103	16	m	m	PRON
ejpam-5907	103	17	≥	≥	NOUN
ejpam-5907	103	18	1	1	NUM
ejpam-5907	103	19	.	.	PUNCT
ejpam-5907	103	20	e.	e.	PROPN
ejpam-5907	103	21	amini	amini	PROPN
ejpam-5907	103	22	,	,	PUNCT
ejpam-5907	103	23	s.	s.	PROPN
ejpam-5907	103	24	al	al	PROPN
ejpam-5907	103	25	-	-	PUNCT
ejpam-5907	103	26	omari	omari	PROPN
ejpam-5907	103	27	,	,	PUNCT
ejpam-5907	103	28	m.	m.	NOUN
ejpam-5907	103	29	khandaqji	khandaqji	PROPN
ejpam-5907	103	30	/	/	SYM
ejpam-5907	103	31	eur	eur	PROPN
ejpam-5907	103	32	.	.	PUNCT
ejpam-5907	104	1	j.	j.	PROPN
ejpam-5907	104	2	pure	pure	PROPN
ejpam-5907	104	3	appl	appl	PROPN
ejpam-5907	104	4	.	.	PROPN
ejpam-5907	104	5	math	math	PROPN
ejpam-5907	104	6	,	,	PUNCT
ejpam-5907	104	7	18	18	NUM
ejpam-5907	104	8	(	(	PUNCT
ejpam-5907	104	9	2	2	NUM
ejpam-5907	104	10	)	)	PUNCT
ejpam-5907	104	11	(	(	PUNCT
ejpam-5907	104	12	2025	2025	NUM
ejpam-5907	104	13	)	)	PUNCT
ejpam-5907	104	14	,	,	PUNCT
ejpam-5907	104	15	5907	5907	NUM
ejpam-5907	104	16	6	6	NUM
ejpam-5907	104	17	of	of	ADP
ejpam-5907	104	18	22	22	NUM
ejpam-5907	104	19	theorem	theorem	NOUN
ejpam-5907	104	20	1	1	NUM
ejpam-5907	104	21	.	.	PUNCT
ejpam-5907	105	1	let	let	VERB
ejpam-5907	105	2	ω	ω	PRON
ejpam-5907	105	3	be	be	AUX
ejpam-5907	105	4	a	a	DET
ejpam-5907	105	5	subset	subset	NOUN
ejpam-5907	105	6	of	of	ADP
ejpam-5907	105	7	c	c	PROPN
ejpam-5907	105	8	and	and	CCONJ
ejpam-5907	105	9	ψ′	ψ′	PROPN
ejpam-5907	105	10	∈	∈	PROPN
ejpam-5907	105	11	ψ′(ω	ψ′(ω	PROPN
ejpam-5907	105	12	,	,	PUNCT
ejpam-5907	105	13	γ	γ	NOUN
ejpam-5907	105	14	)	)	PUNCT
ejpam-5907	105	15	.	.	PUNCT
ejpam-5907	106	1	if	if	SCONJ
ejpam-5907	106	2	f	f	PROPN
ejpam-5907	106	3	∈	∈	PROPN
ejpam-5907	106	4	a	a	DET
ejpam-5907	106	5	satisfies	satisfie	NOUN
ejpam-5907	106	6	{	{	PUNCT
ejpam-5907	106	7	ψ′	ψ′	PROPN
ejpam-5907	106	8	(	(	PUNCT
ejpam-5907	106	9	σ	σ	PROPN
ejpam-5907	106	10	αq	αq	PROPN
ejpam-5907	106	11	µ	µ	NOUN
ejpam-5907	106	12	βf(ζ	βf(ζ	NUM
ejpam-5907	106	13	)	)	PUNCT
ejpam-5907	106	14	,	,	PUNCT
ejpam-5907	106	15	σ	σ	PROPN
ejpam-5907	106	16	αq	αq	ADP
ejpam-5907	106	17	µ+1	µ+1	PRON
ejpam-5907	106	18	β	β	X
ejpam-5907	106	19	f(ζ	f(ζ	PROPN
ejpam-5907	106	20	)	)	PUNCT
ejpam-5907	106	21	,	,	PUNCT
ejpam-5907	106	22	σαq	σαq	PROPN
ejpam-5907	106	23	µ+2	µ+2	PROPN
ejpam-5907	106	24	β	β	PROPN
ejpam-5907	106	25	f(ζ	f(ζ	PROPN
ejpam-5907	106	26	)	)	PUNCT
ejpam-5907	106	27	,	,	PUNCT
ejpam-5907	106	28	ζ	ζ	NOUN
ejpam-5907	106	29	)	)	PUNCT
ejpam-5907	106	30	,	,	PUNCT
ejpam-5907	106	31	ζ	ζ	PROPN
ejpam-5907	106	32	∈	∈	NOUN
ejpam-5907	106	33	∆	∆	X
ejpam-5907	106	34	}	}	PUNCT
ejpam-5907	106	35	⊆	⊆	NUM
ejpam-5907	106	36	ω	ω	NUM
ejpam-5907	106	37	,	,	PUNCT
ejpam-5907	106	38	then	then	ADV
ejpam-5907	106	39	we	we	PRON
ejpam-5907	106	40	have	have	VERB
ejpam-5907	106	41	σ	σ	NUM
ejpam-5907	106	42	αq	αq	ADP
ejpam-5907	106	43	µ	µ	NOUN
ejpam-5907	106	44	βf(ζ	βf(ζ	NUM
ejpam-5907	106	45	)	)	PUNCT
ejpam-5907	106	46	≺	≺	NOUN
ejpam-5907	106	47	γ(ζ	γ(ζ	NOUN
ejpam-5907	106	48	)	)	PUNCT
ejpam-5907	106	49	.	.	PUNCT
ejpam-5907	107	1	(	(	PUNCT
ejpam-5907	107	2	8)	8)	NUM
ejpam-5907	107	3	proof	proof	NOUN
ejpam-5907	107	4	.	.	PUNCT
ejpam-5907	108	1	assume	assume	VERB
ejpam-5907	108	2	that	that	SCONJ
ejpam-5907	108	3	p(ζ	p(ζ	PROPN
ejpam-5907	108	4	)	)	PUNCT
ejpam-5907	108	5	=	=	SYM
ejpam-5907	109	1	σ	σ	PROPN
ejpam-5907	109	2	αq	αq	PROPN
ejpam-5907	109	3	µ	µ	NOUN
ejpam-5907	109	4	βf(ζ	βf(ζ	NUM
ejpam-5907	109	5	)	)	PUNCT
ejpam-5907	109	6	.	.	PUNCT
ejpam-5907	110	1	(	(	PUNCT
ejpam-5907	110	2	9	9	NUM
ejpam-5907	110	3	)	)	PUNCT
ejpam-5907	110	4	then	then	ADV
ejpam-5907	110	5	,	,	PUNCT
ejpam-5907	110	6	by	by	ADP
ejpam-5907	110	7	making	make	VERB
ejpam-5907	110	8	(	(	PUNCT
ejpam-5907	110	9	7	7	NUM
ejpam-5907	110	10	)	)	PUNCT
ejpam-5907	110	11	and	and	CCONJ
ejpam-5907	110	12	(	(	PUNCT
ejpam-5907	110	13	9	9	NUM
ejpam-5907	110	14	)	)	PUNCT
ejpam-5907	110	15	,	,	PUNCT
ejpam-5907	110	16	we	we	PRON
ejpam-5907	110	17	obtain	obtain	VERB
ejpam-5907	110	18	that	that	SCONJ
ejpam-5907	110	19	σ	σ	NOUN
ejpam-5907	110	20	αq	αq	ADP
ejpam-5907	110	21	µ+1	µ+1	PROPN
ejpam-5907	110	22	β	β	X
ejpam-5907	110	23	f(ζ	f(ζ	NOUN
ejpam-5907	110	24	)	)	PUNCT
ejpam-5907	111	1	=	=	SYM
ejpam-5907	111	2	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	111	3	)	)	PUNCT
ejpam-5907	112	1	+	+	CCONJ
ejpam-5907	112	2	(	(	PUNCT
ejpam-5907	112	3	µ−	µ−	PROPN
ejpam-5907	112	4	1)p(ζ	1)p(ζ	PROPN
ejpam-5907	112	5	)	)	PUNCT
ejpam-5907	112	6	µ	µ	NOUN
ejpam-5907	112	7	,	,	PUNCT
ejpam-5907	112	8	(	(	PUNCT
ejpam-5907	112	9	ζ	ζ	NOUN
ejpam-5907	112	10	∈	∈	NOUN
ejpam-5907	112	11	∆	∆	X
ejpam-5907	112	12	)	)	PUNCT
ejpam-5907	112	13	.	.	PUNCT
ejpam-5907	113	1	moreover	moreover	ADV
ejpam-5907	113	2	,	,	PUNCT
ejpam-5907	113	3	a	a	DET
ejpam-5907	113	4	simple	simple	ADJ
ejpam-5907	113	5	computation	computation	NOUN
ejpam-5907	113	6	shows	show	VERB
ejpam-5907	113	7	that	that	SCONJ
ejpam-5907	113	8	σ	σ	PROPN
ejpam-5907	113	9	αq	αq	ADP
ejpam-5907	113	10	µ+2	µ+2	PROPN
ejpam-5907	113	11	β	β	X
ejpam-5907	113	12	f(ζ	f(ζ	NOUN
ejpam-5907	113	13	)	)	PUNCT
ejpam-5907	113	14	=	=	PUNCT
ejpam-5907	113	15	ζ2p′′(ζ	ζ2p′′(ζ	ADV
ejpam-5907	113	16	)	)	PUNCT
ejpam-5907	114	1	+	+	CCONJ
ejpam-5907	114	2	(	(	PUNCT
ejpam-5907	114	3	2µ−	2µ−	NUM
ejpam-5907	114	4	1)ζp′(ζ	1)ζp′(ζ	NUM
ejpam-5907	114	5	)	)	PUNCT
ejpam-5907	115	1	+	+	CCONJ
ejpam-5907	115	2	(	(	PUNCT
ejpam-5907	115	3	µ−	µ−	PROPN
ejpam-5907	115	4	1)2p(ζ	1)2p(ζ	NUM
ejpam-5907	115	5	)	)	PUNCT
ejpam-5907	115	6	µ2	µ2	NOUN
ejpam-5907	115	7	,	,	PUNCT
ejpam-5907	115	8	(	(	PUNCT
ejpam-5907	115	9	ζ	ζ	NOUN
ejpam-5907	115	10	∈	∈	NOUN
ejpam-5907	115	11	∆	∆	X
ejpam-5907	115	12	)	)	PUNCT
ejpam-5907	115	13	.	.	PUNCT
ejpam-5907	116	1	now	now	ADV
ejpam-5907	116	2	,	,	PUNCT
ejpam-5907	116	3	we	we	PRON
ejpam-5907	116	4	define	define	VERB
ejpam-5907	116	5	τ1	τ1	NOUN
ejpam-5907	116	6	=	=	SYM
ejpam-5907	116	7	θ1	θ1	NOUN
ejpam-5907	116	8	,	,	PUNCT
ejpam-5907	116	9	θ2	θ2	PROPN
ejpam-5907	116	10	=	=	PROPN
ejpam-5907	116	11	θ2	θ2	PROPN
ejpam-5907	116	12	+	+	CCONJ
ejpam-5907	116	13	(	(	PUNCT
ejpam-5907	116	14	µ−	µ−	PROPN
ejpam-5907	116	15	1)θ1	1)θ1	NUM
ejpam-5907	116	16	µ	µ	NOUN
ejpam-5907	116	17	,	,	PUNCT
ejpam-5907	116	18	and	and	CCONJ
ejpam-5907	116	19	τ3	τ3	NOUN
ejpam-5907	116	20	=	=	SYM
ejpam-5907	116	21	θ3	θ3	PROPN
ejpam-5907	116	22	+	+	CCONJ
ejpam-5907	116	23	(	(	PUNCT
ejpam-5907	116	24	2µ−	2µ−	NUM
ejpam-5907	116	25	1)θ2	1)θ2	NUM
ejpam-5907	116	26	+	+	CCONJ
ejpam-5907	116	27	(	(	PUNCT
ejpam-5907	116	28	µ−	µ−	PROPN
ejpam-5907	116	29	1)2θ1	1)2θ1	PROPN
ejpam-5907	116	30	µ2	µ2	PROPN
ejpam-5907	116	31	.	.	PUNCT
ejpam-5907	117	1	further	far	ADV
ejpam-5907	117	2	,	,	PUNCT
ejpam-5907	117	3	we	we	PRON
ejpam-5907	117	4	define	define	VERB
ejpam-5907	117	5	the	the	DET
ejpam-5907	117	6	transformation	transformation	NOUN
ejpam-5907	117	7	h	h	NOUN
ejpam-5907	117	8	from	from	ADP
ejpam-5907	117	9	c3	c3	PROPN
ejpam-5907	117	10	×∆	×∆	ADV
ejpam-5907	117	11	to	to	ADP
ejpam-5907	117	12	c	c	PROPN
ejpam-5907	117	13	as	as	ADP
ejpam-5907	117	14	h(θ1	h(θ1	PROPN
ejpam-5907	117	15	,	,	PUNCT
ejpam-5907	117	16	θ2	θ2	PROPN
ejpam-5907	117	17	,	,	PUNCT
ejpam-5907	117	18	θ3	θ3	PROPN
ejpam-5907	117	19	;	;	PUNCT
ejpam-5907	117	20	ζ	ζ	X
ejpam-5907	117	21	)	)	PUNCT
ejpam-5907	117	22	=	=	SYM
ejpam-5907	117	23	ψ′(τ1	ψ′(τ1	PROPN
ejpam-5907	117	24	,	,	PUNCT
ejpam-5907	117	25	τ2	τ2	PROPN
ejpam-5907	117	26	,	,	PUNCT
ejpam-5907	117	27	τ3	τ3	NOUN
ejpam-5907	117	28	;	;	PUNCT
ejpam-5907	117	29	ζ	ζ	X
ejpam-5907	117	30	)	)	PUNCT
ejpam-5907	117	31	=	=	NUM
ejpam-5907	117	32	ψ′	ψ′	PROPN
ejpam-5907	117	33	(	(	PUNCT
ejpam-5907	117	34	θ1	θ1	NOUN
ejpam-5907	117	35	,	,	PUNCT
ejpam-5907	117	36	θ2	θ2	PROPN
ejpam-5907	117	37	+	+	CCONJ
ejpam-5907	117	38	(	(	PUNCT
ejpam-5907	117	39	µ−	µ−	PROPN
ejpam-5907	117	40	1)θ1	1)θ1	PROPN
ejpam-5907	117	41	µ	µ	NOUN
ejpam-5907	117	42	,	,	PUNCT
ejpam-5907	117	43	θ3	θ3	PROPN
ejpam-5907	117	44	+	+	CCONJ
ejpam-5907	117	45	(	(	PUNCT
ejpam-5907	117	46	2µ−	2µ−	NUM
ejpam-5907	117	47	1)θ2	1)θ2	NUM
ejpam-5907	117	48	+	+	CCONJ
ejpam-5907	117	49	(	(	PUNCT
ejpam-5907	117	50	µ−	µ−	PROPN
ejpam-5907	117	51	1)2θ1	1)2θ1	NUM
ejpam-5907	117	52	µ2	µ2	NOUN
ejpam-5907	117	53	;	;	PUNCT
ejpam-5907	117	54	ζ	ζ	NOUN
ejpam-5907	117	55	)	)	PUNCT
ejpam-5907	117	56	.(10	.(10	PUNCT
ejpam-5907	117	57	)	)	PUNCT
ejpam-5907	117	58	from	from	ADP
ejpam-5907	117	59	the	the	DET
ejpam-5907	117	60	equations	equation	NOUN
ejpam-5907	117	61	(	(	PUNCT
ejpam-5907	117	62	9	9	NUM
ejpam-5907	117	63	)	)	PUNCT
ejpam-5907	117	64	to	to	ADP
ejpam-5907	117	65	(	(	PUNCT
ejpam-5907	117	66	10	10	NUM
ejpam-5907	117	67	)	)	PUNCT
ejpam-5907	117	68	,	,	PUNCT
ejpam-5907	117	69	we	we	PRON
ejpam-5907	117	70	have	have	AUX
ejpam-5907	117	71	h(p(ζ	h(p(ζ	VERB
ejpam-5907	117	72	)	)	PUNCT
ejpam-5907	117	73	,	,	PUNCT
ejpam-5907	117	74	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	117	75	)	)	PUNCT
ejpam-5907	117	76	,	,	PUNCT
ejpam-5907	117	77	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	117	78	)	)	PUNCT
ejpam-5907	117	79	,	,	PUNCT
ejpam-5907	117	80	ζ	ζ	NOUN
ejpam-5907	117	81	)	)	PUNCT
ejpam-5907	117	82	=	=	NUM
ejpam-5907	117	83	ψ′	ψ′	PROPN
ejpam-5907	117	84	(	(	PUNCT
ejpam-5907	117	85	σ	σ	PROPN
ejpam-5907	117	86	αq	αq	PROPN
ejpam-5907	117	87	µ	µ	NOUN
ejpam-5907	117	88	βf(ζ	βf(ζ	NUM
ejpam-5907	117	89	)	)	PUNCT
ejpam-5907	117	90	,	,	PUNCT
ejpam-5907	117	91	σ	σ	PROPN
ejpam-5907	117	92	αq	αq	ADP
ejpam-5907	117	93	µ+1	µ+1	PRON
ejpam-5907	117	94	β	β	X
ejpam-5907	117	95	f(ζ	f(ζ	PROPN
ejpam-5907	117	96	)	)	PUNCT
ejpam-5907	117	97	,	,	PUNCT
ejpam-5907	117	98	σαq	σαq	PROPN
ejpam-5907	117	99	µ+2	µ+2	PROPN
ejpam-5907	117	100	β	β	PROPN
ejpam-5907	117	101	f(ζ	f(ζ	PROPN
ejpam-5907	117	102	)	)	PUNCT
ejpam-5907	117	103	;	;	PUNCT
ejpam-5907	117	104	ζ	ζ	NOUN
ejpam-5907	117	105	)	)	PUNCT
ejpam-5907	117	106	.	.	PUNCT
ejpam-5907	118	1	(	(	PUNCT
ejpam-5907	118	2	11	11	NUM
ejpam-5907	118	3	)	)	PUNCT
ejpam-5907	118	4	hence	hence	ADV
ejpam-5907	118	5	,	,	PUNCT
ejpam-5907	118	6	the	the	DET
ejpam-5907	118	7	assertion	assertion	NOUN
ejpam-5907	118	8	(	(	PUNCT
ejpam-5907	118	9	11	11	NUM
ejpam-5907	118	10	)	)	PUNCT
ejpam-5907	118	11	becomes	become	VERB
ejpam-5907	118	12	ψ′(p(ζ	ψ′(p(ζ	PROPN
ejpam-5907	118	13	)	)	PUNCT
ejpam-5907	118	14	,	,	PUNCT
ejpam-5907	118	15	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	118	16	)	)	PUNCT
ejpam-5907	118	17	,	,	PUNCT
ejpam-5907	118	18	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	118	19	)	)	PUNCT
ejpam-5907	118	20	;	;	PUNCT
ejpam-5907	118	21	ζ	ζ	X
ejpam-5907	118	22	)	)	PUNCT
ejpam-5907	118	23	/∈	/∈	PUNCT
ejpam-5907	119	1	ω	ω	INTJ
ejpam-5907	119	2	.	.	PUNCT
ejpam-5907	120	1	we	we	PRON
ejpam-5907	120	2	note	note	VERB
ejpam-5907	120	3	that	that	SCONJ
ejpam-5907	120	4	θ3	θ3	PROPN
ejpam-5907	120	5	θ2	θ2	PROPN
ejpam-5907	120	6	+	+	CCONJ
ejpam-5907	120	7	1	1	NUM
ejpam-5907	120	8	=	=	SYM
ejpam-5907	120	9	µ2τ3	µ2τ3	NOUN
ejpam-5907	120	10	−	−	NOUN
ejpam-5907	120	11	(	(	PUNCT
ejpam-5907	120	12	µ−	µ−	PROPN
ejpam-5907	120	13	1)τ2	1)τ2	NUM
ejpam-5907	120	14	µτ2	µτ2	NOUN
ejpam-5907	120	15	−	−	PROPN
ejpam-5907	121	1	(	(	PUNCT
ejpam-5907	121	2	µ−	µ−	PROPN
ejpam-5907	121	3	1)τ3	1)τ3	ADV
ejpam-5907	121	4	−	−	PROPN
ejpam-5907	121	5	µ+	µ+	PUNCT
ejpam-5907	121	6	1	1	NUM
ejpam-5907	121	7	.	.	PUNCT
ejpam-5907	122	1	since	since	SCONJ
ejpam-5907	122	2	the	the	DET
ejpam-5907	122	3	admissibility	admissibility	NOUN
ejpam-5907	122	4	conditions	condition	NOUN
ejpam-5907	122	5	for	for	ADP
ejpam-5907	122	6	ψ′	ψ′	PROPN
ejpam-5907	122	7	∈	∈	PROPN
ejpam-5907	122	8	ψ′(ω	ψ′(ω	PROPN
ejpam-5907	122	9	,	,	PUNCT
ejpam-5907	122	10	γ	γ	X
ejpam-5907	122	11	)	)	PUNCT
ejpam-5907	122	12	are	be	AUX
ejpam-5907	122	13	equivalent	equivalent	ADJ
ejpam-5907	122	14	to	to	ADP
ejpam-5907	122	15	ψ	ψ	PROPN
ejpam-5907	122	16	∈	∈	PROPN
ejpam-5907	122	17	ψ(ω	ψ(ω	PROPN
ejpam-5907	122	18	,	,	PUNCT
ejpam-5907	122	19	γ	γ	PROPN
ejpam-5907	122	20	)	)	PUNCT
ejpam-5907	122	21	as	as	SCONJ
ejpam-5907	122	22	given	give	VERB
ejpam-5907	122	23	in	in	ADP
ejpam-5907	122	24	definition	definition	NOUN
ejpam-5907	122	25	2	2	NUM
ejpam-5907	122	26	,	,	PUNCT
ejpam-5907	122	27	then	then	ADV
ejpam-5907	122	28	,	,	PUNCT
ejpam-5907	122	29	by	by	ADP
ejpam-5907	122	30	using	use	VERB
ejpam-5907	122	31	lemma	lemma	PROPN
ejpam-5907	122	32	1	1	NUM
ejpam-5907	122	33	we	we	PRON
ejpam-5907	122	34	have	have	VERB
ejpam-5907	122	35	p(ζ	p(ζ	PROPN
ejpam-5907	122	36	)	)	PUNCT
ejpam-5907	122	37	≺	≺	NOUN
ejpam-5907	122	38	γ(ζ	γ(ζ	NOUN
ejpam-5907	122	39	)	)	PUNCT
ejpam-5907	122	40	,	,	PUNCT
ejpam-5907	122	41	(	(	PUNCT
ejpam-5907	122	42	ζ	ζ	NOUN
ejpam-5907	122	43	∈	∈	NOUN
ejpam-5907	122	44	∆	∆	X
ejpam-5907	122	45	)	)	PUNCT
ejpam-5907	122	46	.	.	PUNCT
ejpam-5907	123	1	this	this	PRON
ejpam-5907	123	2	shows	show	VERB
ejpam-5907	123	3	that	that	SCONJ
ejpam-5907	123	4	the	the	DET
ejpam-5907	123	5	desired	desire	VERB
ejpam-5907	123	6	differential	differential	ADJ
ejpam-5907	123	7	subordination	subordination	NOUN
ejpam-5907	123	8	(	(	PUNCT
ejpam-5907	123	9	8)	8)	NUM
ejpam-5907	123	10	is	be	AUX
ejpam-5907	123	11	established	establish	VERB
ejpam-5907	123	12	.	.	PUNCT
ejpam-5907	124	1	the	the	DET
ejpam-5907	124	2	result	result	NOUN
ejpam-5907	124	3	can	can	AUX
ejpam-5907	124	4	be	be	AUX
ejpam-5907	124	5	extended	extend	VERB
ejpam-5907	124	6	to	to	ADP
ejpam-5907	124	7	the	the	DET
ejpam-5907	124	8	case	case	NOUN
ejpam-5907	124	9	ω	ω	NOUN
ejpam-5907	124	10	=	=	SYM
ejpam-5907	124	11	h(∆	h(∆	PROPN
ejpam-5907	124	12	)	)	PUNCT
ejpam-5907	124	13	in	in	ADP
ejpam-5907	124	14	which	which	PRON
ejpam-5907	124	15	the	the	DET
ejpam-5907	124	16	complex	complex	ADV
ejpam-5907	124	17	-	-	PUNCT
ejpam-5907	124	18	valued	value	VERB
ejpam-5907	124	19	function	function	NOUN
ejpam-5907	124	20	h(ζ	h(ζ	NOUN
ejpam-5907	124	21	)	)	PUNCT
ejpam-5907	124	22	is	be	AUX
ejpam-5907	124	23	a	a	DET
ejpam-5907	124	24	conformal	conformal	ADJ
ejpam-5907	124	25	mapping	mapping	NOUN
ejpam-5907	124	26	of	of	ADP
ejpam-5907	124	27	∆	∆	PROPN
ejpam-5907	124	28	onto	onto	ADP
ejpam-5907	124	29	ω	ω	PROPN
ejpam-5907	124	30	.	.	PUNCT
ejpam-5907	125	1	in	in	ADP
ejpam-5907	125	2	this	this	DET
ejpam-5907	125	3	case	case	NOUN
ejpam-5907	125	4	,	,	PUNCT
ejpam-5907	125	5	we	we	PRON
ejpam-5907	125	6	write	write	VERB
ejpam-5907	125	7	ψ′(ω	ψ′(ω	PROPN
ejpam-5907	125	8	,	,	PUNCT
ejpam-5907	125	9	γ	γ	NOUN
ejpam-5907	125	10	)	)	PUNCT
ejpam-5907	125	11	=	=	PUNCT
ejpam-5907	125	12	ψ′(h	ψ′(h	PROPN
ejpam-5907	125	13	,	,	PUNCT
ejpam-5907	125	14	γ	γ	NOUN
ejpam-5907	125	15	)	)	PUNCT
ejpam-5907	125	16	.	.	PUNCT
ejpam-5907	126	1	e.	e.	PROPN
ejpam-5907	126	2	amini	amini	PROPN
ejpam-5907	126	3	,	,	PUNCT
ejpam-5907	126	4	s.	s.	PROPN
ejpam-5907	126	5	al	al	PROPN
ejpam-5907	126	6	-	-	PUNCT
ejpam-5907	126	7	omari	omari	PROPN
ejpam-5907	126	8	,	,	PUNCT
ejpam-5907	126	9	m.	m.	NOUN
ejpam-5907	126	10	khandaqji	khandaqji	PROPN
ejpam-5907	126	11	/	/	SYM
ejpam-5907	126	12	eur	eur	PROPN
ejpam-5907	126	13	.	.	PUNCT
ejpam-5907	127	1	j.	j.	PROPN
ejpam-5907	127	2	pure	pure	PROPN
ejpam-5907	127	3	appl	appl	PROPN
ejpam-5907	127	4	.	.	PROPN
ejpam-5907	127	5	math	math	PROPN
ejpam-5907	127	6	,	,	PUNCT
ejpam-5907	127	7	18	18	NUM
ejpam-5907	127	8	(	(	PUNCT
ejpam-5907	127	9	2	2	NUM
ejpam-5907	127	10	)	)	PUNCT
ejpam-5907	127	11	(	(	PUNCT
ejpam-5907	127	12	2025	2025	NUM
ejpam-5907	127	13	)	)	PUNCT
ejpam-5907	127	14	,	,	PUNCT
ejpam-5907	127	15	5907	5907	NUM
ejpam-5907	127	16	7	7	NUM
ejpam-5907	127	17	of	of	ADP
ejpam-5907	127	18	22	22	NUM
ejpam-5907	127	19	theorem	theorem	NOUN
ejpam-5907	127	20	2	2	NUM
ejpam-5907	127	21	.	.	PUNCT
ejpam-5907	128	1	let	let	VERB
ejpam-5907	128	2	ψ′	ψ′	PUNCT
ejpam-5907	128	3	∈	∈	PROPN
ejpam-5907	128	4	ψ′(h	ψ′(h	PROPN
ejpam-5907	128	5	,	,	PUNCT
ejpam-5907	128	6	γ	γ	NOUN
ejpam-5907	128	7	)	)	PUNCT
ejpam-5907	128	8	.	.	PUNCT
ejpam-5907	129	1	if	if	SCONJ
ejpam-5907	129	2	ψ′	ψ′	PROPN
ejpam-5907	129	3	(	(	PUNCT
ejpam-5907	129	4	σ	σ	PROPN
ejpam-5907	129	5	αq	αq	PROPN
ejpam-5907	129	6	µ	µ	NOUN
ejpam-5907	129	7	βf(ζ	βf(ζ	NUM
ejpam-5907	129	8	)	)	PUNCT
ejpam-5907	129	9	,	,	PUNCT
ejpam-5907	129	10	σ	σ	PROPN
ejpam-5907	129	11	αq	αq	ADP
ejpam-5907	129	12	µ+1	µ+1	PRON
ejpam-5907	129	13	β	β	X
ejpam-5907	129	14	f(ζ	f(ζ	PROPN
ejpam-5907	129	15	)	)	PUNCT
ejpam-5907	129	16	,	,	PUNCT
ejpam-5907	129	17	σαq	σαq	PROPN
ejpam-5907	129	18	µ+2	µ+2	PROPN
ejpam-5907	129	19	β	β	PROPN
ejpam-5907	129	20	f(ζ	f(ζ	PROPN
ejpam-5907	129	21	)	)	PUNCT
ejpam-5907	129	22	,	,	PUNCT
ejpam-5907	129	23	ζ	ζ	NOUN
ejpam-5907	129	24	)	)	PUNCT
ejpam-5907	129	25	is	be	AUX
ejpam-5907	129	26	univalent	univalent	ADJ
ejpam-5907	129	27	in	in	ADP
ejpam-5907	129	28	∆	∆	PROPN
ejpam-5907	129	29	and	and	CCONJ
ejpam-5907	129	30	ψ′	ψ′	PROPN
ejpam-5907	129	31	(	(	PUNCT
ejpam-5907	129	32	σ	σ	PROPN
ejpam-5907	129	33	αq	αq	PROPN
ejpam-5907	129	34	µ	µ	NOUN
ejpam-5907	129	35	βf(ζ	βf(ζ	NUM
ejpam-5907	129	36	)	)	PUNCT
ejpam-5907	129	37	,	,	PUNCT
ejpam-5907	129	38	σ	σ	PROPN
ejpam-5907	129	39	αq	αq	ADP
ejpam-5907	129	40	µ+1	µ+1	PRON
ejpam-5907	129	41	β	β	X
ejpam-5907	129	42	f(ζ	f(ζ	PROPN
ejpam-5907	129	43	)	)	PUNCT
ejpam-5907	129	44	,	,	PUNCT
ejpam-5907	129	45	σαq	σαq	PROPN
ejpam-5907	129	46	µ+2	µ+2	PROPN
ejpam-5907	129	47	β	β	PROPN
ejpam-5907	129	48	f(ζ	f(ζ	PROPN
ejpam-5907	129	49	)	)	PUNCT
ejpam-5907	129	50	,	,	PUNCT
ejpam-5907	129	51	ζ	ζ	NOUN
ejpam-5907	129	52	)	)	PUNCT
ejpam-5907	129	53	≺	≺	NOUN
ejpam-5907	129	54	h(ζ	h(ζ	NOUN
ejpam-5907	129	55	)	)	PUNCT
ejpam-5907	129	56	,	,	PUNCT
ejpam-5907	129	57	then	then	ADV
ejpam-5907	129	58	,	,	PUNCT
ejpam-5907	129	59	we	we	PRON
ejpam-5907	129	60	have	have	VERB
ejpam-5907	129	61	σ	σ	NUM
ejpam-5907	129	62	αq	αq	ADP
ejpam-5907	129	63	µ	µ	NOUN
ejpam-5907	129	64	βf(ζ	βf(ζ	NUM
ejpam-5907	129	65	)	)	PUNCT
ejpam-5907	129	66	≺	≺	NOUN
ejpam-5907	129	67	γ(ζ	γ(ζ	NOUN
ejpam-5907	129	68	)	)	PUNCT
ejpam-5907	129	69	.	.	PUNCT
ejpam-5907	130	1	proof	proof	NOUN
ejpam-5907	130	2	.	.	PUNCT
ejpam-5907	131	1	following	follow	VERB
ejpam-5907	131	2	similar	similar	ADJ
ejpam-5907	131	3	proof	proof	NOUN
ejpam-5907	131	4	to	to	ADP
ejpam-5907	131	5	that	that	PRON
ejpam-5907	131	6	of	of	ADP
ejpam-5907	131	7	theorem	theorem	NOUN
ejpam-5907	131	8	[	[	X
ejpam-5907	131	9	[	[	X
ejpam-5907	131	10	11	11	NUM
ejpam-5907	131	11	]	]	PUNCT
ejpam-5907	131	12	,	,	PUNCT
ejpam-5907	131	13	theorem	theorem	VERB
ejpam-5907	131	14	2.3c	2.3c	NUM
ejpam-5907	131	15	]	]	PUNCT
ejpam-5907	131	16	,	,	PUNCT
ejpam-5907	131	17	we	we	PRON
ejpam-5907	131	18	can	can	AUX
ejpam-5907	131	19	proof	proof	NOUN
ejpam-5907	131	20	theorem	theorem	VERB
ejpam-5907	131	21	2	2	NUM
ejpam-5907	131	22	.	.	PUNCT
ejpam-5907	132	1	so	so	ADV
ejpam-5907	132	2	,	,	PUNCT
ejpam-5907	132	3	it	it	PRON
ejpam-5907	132	4	is	be	AUX
ejpam-5907	132	5	omitted	omit	VERB
ejpam-5907	132	6	.	.	PUNCT
ejpam-5907	133	1	we	we	PRON
ejpam-5907	133	2	next	next	ADV
ejpam-5907	133	3	consider	consider	VERB
ejpam-5907	133	4	the	the	DET
ejpam-5907	133	5	behaviour	behaviour	NOUN
ejpam-5907	133	6	of	of	ADP
ejpam-5907	133	7	γ	γ	NOUN
ejpam-5907	133	8	on	on	ADP
ejpam-5907	133	9	the	the	DET
ejpam-5907	133	10	boundary	boundary	NOUN
ejpam-5907	133	11	of	of	ADP
ejpam-5907	133	12	∆.	∆.	NOUN
ejpam-5907	133	13	the	the	DET
ejpam-5907	133	14	following	following	ADJ
ejpam-5907	133	15	result	result	NOUN
ejpam-5907	133	16	is	be	AUX
ejpam-5907	133	17	an	an	DET
ejpam-5907	133	18	interesting	interesting	ADJ
ejpam-5907	133	19	consequence	consequence	NOUN
ejpam-5907	133	20	of	of	ADP
ejpam-5907	133	21	theorem	theorem	NOUN
ejpam-5907	133	22	1	1	NUM
ejpam-5907	133	23	.	.	PUNCT
ejpam-5907	133	24	theorem	theorem	NOUN
ejpam-5907	133	25	3	3	X
ejpam-5907	133	26	.	.	PUNCT
ejpam-5907	134	1	let	let	VERB
ejpam-5907	134	2	0	0	NUM
ejpam-5907	134	3	<	<	X
ejpam-5907	134	4	ρ	ρ	X
ejpam-5907	134	5	<	<	X
ejpam-5907	134	6	1	1	NUM
ejpam-5907	134	7	and	and	CCONJ
ejpam-5907	134	8	h(ζ	h(ζ	NOUN
ejpam-5907	134	9	)	)	PUNCT
ejpam-5907	134	10	,	,	PUNCT
ejpam-5907	134	11	γ(ζ	γ(ζ	PROPN
ejpam-5907	134	12	)	)	PUNCT
ejpam-5907	134	13	∈	∈	PROPN
ejpam-5907	134	14	s	s	AUX
ejpam-5907	134	15	satisfy	satisfy	NOUN
ejpam-5907	134	16	the	the	DET
ejpam-5907	134	17	conditions	condition	NOUN
ejpam-5907	134	18	γρ(ζ	γρ(ζ	PUNCT
ejpam-5907	134	19	)	)	PUNCT
ejpam-5907	134	20	=	=	SYM
ejpam-5907	134	21	γ(ρζ	γ(ρζ	X
ejpam-5907	134	22	)	)	PUNCT
ejpam-5907	134	23	and	and	CCONJ
ejpam-5907	134	24	hρ(ζ	hρ(ζ	PUNCT
ejpam-5907	134	25	)	)	PUNCT
ejpam-5907	134	26	=	=	SYM
ejpam-5907	134	27	h(ρζ	h(ρζ	PROPN
ejpam-5907	134	28	)	)	PUNCT
ejpam-5907	134	29	.	.	PUNCT
ejpam-5907	135	1	let	let	VERB
ejpam-5907	135	2	ψ′	ψ′	VERB
ejpam-5907	135	3	:	:	PUNCT
ejpam-5907	135	4	c3	c3	PROPN
ejpam-5907	135	5	×∆	×∆	ADV
ejpam-5907	135	6	−→	−→	ADV
ejpam-5907	135	7	c	c	AUX
ejpam-5907	135	8	satisfy	satisfy	VERB
ejpam-5907	135	9	one	one	NUM
ejpam-5907	135	10	of	of	ADP
ejpam-5907	135	11	the	the	DET
ejpam-5907	135	12	subsequent	subsequent	ADJ
ejpam-5907	135	13	conditions	condition	NOUN
ejpam-5907	135	14	:	:	PUNCT
ejpam-5907	135	15	(	(	PUNCT
ejpam-5907	135	16	i	i	NOUN
ejpam-5907	135	17	)	)	PUNCT
ejpam-5907	135	18	ψ′	ψ′	PROPN
ejpam-5907	136	1	∈	∈	PROPN
ejpam-5907	136	2	ψ′(h	ψ′(h	PROPN
ejpam-5907	136	3	,	,	PUNCT
ejpam-5907	136	4	γρ	γρ	NOUN
ejpam-5907	136	5	)	)	PUNCT
ejpam-5907	136	6	,	,	PUNCT
ejpam-5907	136	7	(	(	PUNCT
ejpam-5907	136	8	ii	ii	NOUN
ejpam-5907	136	9	)	)	PUNCT
ejpam-5907	136	10	there	there	PRON
ejpam-5907	136	11	exist	exist	VERB
ejpam-5907	136	12	ρ0	ρ0	PROPN
ejpam-5907	136	13	∈	∈	PROPN
ejpam-5907	136	14	(	(	PUNCT
ejpam-5907	136	15	0	0	NUM
ejpam-5907	136	16	,	,	PUNCT
ejpam-5907	136	17	1	1	NUM
ejpam-5907	136	18	)	)	PUNCT
ejpam-5907	137	1	such	such	ADJ
ejpam-5907	137	2	that	that	SCONJ
ejpam-5907	137	3	ψ′	ψ′	PUNCT
ejpam-5907	137	4	∈	∈	PROPN
ejpam-5907	137	5	ψ′(hρ	ψ′(hρ	NOUN
ejpam-5907	137	6	,	,	PUNCT
ejpam-5907	137	7	γρ	γρ	NOUN
ejpam-5907	137	8	)	)	PUNCT
ejpam-5907	137	9	,	,	PUNCT
ejpam-5907	137	10	for	for	ADP
ejpam-5907	137	11	all	all	DET
ejpam-5907	137	12	ρ	ρ	NUM
ejpam-5907	137	13	∈	∈	NOUN
ejpam-5907	137	14	(	(	PUNCT
ejpam-5907	137	15	ρ0	ρ0	PROPN
ejpam-5907	137	16	,	,	PUNCT
ejpam-5907	137	17	1	1	NUM
ejpam-5907	137	18	)	)	PUNCT
ejpam-5907	137	19	.	.	PUNCT
ejpam-5907	138	1	if	if	SCONJ
ejpam-5907	138	2	ψ′	ψ′	PUNCT
ejpam-5907	138	3	∈	∈	PROPN
ejpam-5907	138	4	ψ′(h	ψ′(h	PROPN
ejpam-5907	138	5	,	,	PUNCT
ejpam-5907	138	6	γ	γ	NOUN
ejpam-5907	138	7	)	)	PUNCT
ejpam-5907	138	8	,	,	PUNCT
ejpam-5907	138	9	ψ′	ψ′	PUNCT
ejpam-5907	138	10	(	(	PUNCT
ejpam-5907	138	11	σ	σ	PROPN
ejpam-5907	138	12	αq	αq	PROPN
ejpam-5907	138	13	µ	µ	NOUN
ejpam-5907	138	14	βf(ζ	βf(ζ	NUM
ejpam-5907	138	15	)	)	PUNCT
ejpam-5907	138	16	,	,	PUNCT
ejpam-5907	138	17	σ	σ	PROPN
ejpam-5907	138	18	αq	αq	ADP
ejpam-5907	138	19	µ+1	µ+1	PRON
ejpam-5907	138	20	β	β	X
ejpam-5907	138	21	f(ζ	f(ζ	PROPN
ejpam-5907	138	22	)	)	PUNCT
ejpam-5907	138	23	,	,	PUNCT
ejpam-5907	138	24	σαq	σαq	PROPN
ejpam-5907	138	25	µ+2	µ+2	PROPN
ejpam-5907	138	26	β	β	PROPN
ejpam-5907	138	27	f(ζ	f(ζ	PROPN
ejpam-5907	138	28	)	)	PUNCT
ejpam-5907	138	29	,	,	PUNCT
ejpam-5907	138	30	ζ	ζ	NOUN
ejpam-5907	138	31	)	)	PUNCT
ejpam-5907	138	32	is	be	AUX
ejpam-5907	138	33	analytic	analytic	ADJ
ejpam-5907	138	34	in	in	ADP
ejpam-5907	138	35	∆	∆	PROPN
ejpam-5907	138	36	and	and	CCONJ
ejpam-5907	138	37	ψ′	ψ′	PROPN
ejpam-5907	138	38	(	(	PUNCT
ejpam-5907	138	39	σ	σ	PROPN
ejpam-5907	138	40	αq	αq	PROPN
ejpam-5907	138	41	µ	µ	NOUN
ejpam-5907	138	42	βf(ζ	βf(ζ	NUM
ejpam-5907	138	43	)	)	PUNCT
ejpam-5907	138	44	,	,	PUNCT
ejpam-5907	138	45	σ	σ	PROPN
ejpam-5907	138	46	αq	αq	ADP
ejpam-5907	138	47	µ+1	µ+1	PRON
ejpam-5907	138	48	β	β	X
ejpam-5907	138	49	f(ζ	f(ζ	PROPN
ejpam-5907	138	50	)	)	PUNCT
ejpam-5907	138	51	,	,	PUNCT
ejpam-5907	138	52	σαq	σαq	PROPN
ejpam-5907	138	53	µ+2	µ+2	PROPN
ejpam-5907	138	54	β	β	PROPN
ejpam-5907	138	55	f(ζ	f(ζ	PROPN
ejpam-5907	138	56	)	)	PUNCT
ejpam-5907	138	57	,	,	PUNCT
ejpam-5907	138	58	ζ	ζ	NOUN
ejpam-5907	138	59	)	)	PUNCT
ejpam-5907	138	60	≺	≺	NOUN
ejpam-5907	138	61	h(ζ	h(ζ	NOUN
ejpam-5907	138	62	)	)	PUNCT
ejpam-5907	138	63	,	,	PUNCT
ejpam-5907	138	64	then	then	ADV
ejpam-5907	138	65	we	we	PRON
ejpam-5907	138	66	have	have	VERB
ejpam-5907	138	67	σ	σ	NUM
ejpam-5907	138	68	αq	αq	ADP
ejpam-5907	138	69	µ	µ	NOUN
ejpam-5907	138	70	βf(ζ	βf(ζ	NUM
ejpam-5907	138	71	)	)	PUNCT
ejpam-5907	138	72	≺	≺	NOUN
ejpam-5907	138	73	γ(ζ	γ(ζ	NOUN
ejpam-5907	138	74	)	)	PUNCT
ejpam-5907	138	75	.	.	PUNCT
ejpam-5907	139	1	proof	proof	NOUN
ejpam-5907	139	2	.	.	PUNCT
ejpam-5907	140	1	by	by	ADP
ejpam-5907	140	2	following	follow	VERB
ejpam-5907	140	3	the	the	DET
ejpam-5907	140	4	proof	proof	NOUN
ejpam-5907	140	5	theorem	theorem	VERB
ejpam-5907	140	6	[	[	X
ejpam-5907	140	7	[	[	X
ejpam-5907	140	8	11	11	NUM
ejpam-5907	140	9	]	]	PUNCT
ejpam-5907	140	10	,	,	PUNCT
ejpam-5907	140	11	theorem	theorem	VERB
ejpam-5907	140	12	2.3d	2.3d	NUM
ejpam-5907	140	13	]	]	X
ejpam-5907	140	14	,	,	PUNCT
ejpam-5907	140	15	we	we	PRON
ejpam-5907	140	16	can	can	AUX
ejpam-5907	140	17	proof	proof	NOUN
ejpam-5907	140	18	theorem	theorem	VERB
ejpam-5907	140	19	3	3	NUM
ejpam-5907	140	20	.	.	PUNCT
ejpam-5907	141	1	so	so	ADV
ejpam-5907	141	2	,	,	PUNCT
ejpam-5907	141	3	it	it	PRON
ejpam-5907	141	4	has	have	AUX
ejpam-5907	141	5	been	be	AUX
ejpam-5907	141	6	omitted	omit	VERB
ejpam-5907	141	7	.	.	PUNCT
ejpam-5907	142	1	theorem	theorem	VERB
ejpam-5907	142	2	4	4	NUM
ejpam-5907	142	3	.	.	PUNCT
ejpam-5907	143	1	let	let	VERB
ejpam-5907	143	2	k	k	PROPN
ejpam-5907	143	3	∈	∈	PROPN
ejpam-5907	143	4	{	{	PUNCT
ejpam-5907	143	5	2	2	NUM
ejpam-5907	143	6	,	,	PUNCT
ejpam-5907	143	7	3	3	NUM
ejpam-5907	143	8	,	,	PUNCT
ejpam-5907	143	9	4	4	NUM
ejpam-5907	143	10	,	,	PUNCT
ejpam-5907	143	11	...	...	PUNCT
ejpam-5907	143	12	}	}	PUNCT
ejpam-5907	143	13	,	,	PUNCT
ejpam-5907	143	14	0	0	NUM
ejpam-5907	143	15	<	<	X
ejpam-5907	143	16	ρ	ρ	X
ejpam-5907	143	17	<	<	X
ejpam-5907	143	18	1	1	NUM
ejpam-5907	143	19	,	,	PUNCT
ejpam-5907	143	20	h	h	NOUN
ejpam-5907	143	21	∈	∈	PROPN
ejpam-5907	143	22	s	s	X
ejpam-5907	143	23	and	and	CCONJ
ejpam-5907	143	24	ψ′	ψ′	PUNCT
ejpam-5907	143	25	:	:	PUNCT
ejpam-5907	143	26	c3	c3	PROPN
ejpam-5907	143	27	×∆	×∆	ADV
ejpam-5907	143	28	−→	−→	PROPN
ejpam-5907	143	29	c.	c.	PROPN
ejpam-5907	143	30	suppose	suppose	VERB
ejpam-5907	143	31	that	that	SCONJ
ejpam-5907	143	32	the	the	DET
ejpam-5907	143	33	differential	differential	ADJ
ejpam-5907	143	34	equation	equation	NOUN
ejpam-5907	143	35	ψ′	ψ′	PUNCT
ejpam-5907	143	36	(	(	PUNCT
ejpam-5907	143	37	σ	σ	PROPN
ejpam-5907	143	38	αq	αq	PROPN
ejpam-5907	143	39	µ	µ	NOUN
ejpam-5907	143	40	βf(ζ	βf(ζ	NUM
ejpam-5907	143	41	)	)	PUNCT
ejpam-5907	143	42	,	,	PUNCT
ejpam-5907	143	43	kζ	kζ	VERB
ejpam-5907	143	44	k−1σ	k−1σ	PROPN
ejpam-5907	143	45	αq	αq	ADP
ejpam-5907	143	46	µ+1	µ+1	PROPN
ejpam-5907	143	47	β	β	X
ejpam-5907	143	48	f(ζ	f(ζ	PROPN
ejpam-5907	143	49	)	)	PUNCT
ejpam-5907	143	50	,	,	PUNCT
ejpam-5907	143	51	k2ζ2(k−1)σ	k2ζ2(k−1)σ	PROPN
ejpam-5907	143	52	αq	αq	PROPN
ejpam-5907	143	53	µ+2	µ+2	PROPN
ejpam-5907	143	54	β	β	PROPN
ejpam-5907	143	55	f(ζ	f(ζ	PROPN
ejpam-5907	143	56	)	)	PUNCT
ejpam-5907	143	57	;	;	PUNCT
ejpam-5907	143	58	ζ	ζ	X
ejpam-5907	143	59	)	)	PUNCT
ejpam-5907	143	60	=	=	SYM
ejpam-5907	143	61	h(ζ	h(ζ	NOUN
ejpam-5907	143	62	)	)	PUNCT
ejpam-5907	143	63	(	(	PUNCT
ejpam-5907	143	64	12	12	NUM
ejpam-5907	143	65	)	)	PUNCT
ejpam-5907	143	66	has	have	VERB
ejpam-5907	143	67	a	a	DET
ejpam-5907	143	68	solution	solution	NOUN
ejpam-5907	143	69	γ(ζ	γ(ζ	NOUN
ejpam-5907	143	70	)	)	PUNCT
ejpam-5907	143	71	with	with	ADP
ejpam-5907	143	72	γ(0	γ(0	PROPN
ejpam-5907	143	73	)	)	PUNCT
ejpam-5907	143	74	=	=	SYM
ejpam-5907	143	75	0	0	NUM
ejpam-5907	143	76	and	and	CCONJ
ejpam-5907	143	77	one	one	NUM
ejpam-5907	143	78	of	of	ADP
ejpam-5907	143	79	the	the	DET
ejpam-5907	143	80	subsequent	subsequent	ADJ
ejpam-5907	143	81	conditions	condition	NOUN
ejpam-5907	143	82	is	be	AUX
ejpam-5907	143	83	satisfied	satisfied	ADJ
ejpam-5907	143	84	:	:	PUNCT
ejpam-5907	143	85	(	(	PUNCT
ejpam-5907	143	86	i	i	NOUN
ejpam-5907	143	87	)	)	PUNCT
ejpam-5907	143	88	γ	γ	PROPN
ejpam-5907	143	89	∈	∈	PROPN
ejpam-5907	143	90	h	h	NOUN
ejpam-5907	143	91	and	and	CCONJ
ejpam-5907	143	92	ψ′	ψ′	PROPN
ejpam-5907	143	93	∈	∈	PROPN
ejpam-5907	143	94	ψ′(h	ψ′(h	PROPN
ejpam-5907	143	95	,	,	PUNCT
ejpam-5907	143	96	γ	γ	NOUN
ejpam-5907	143	97	)	)	PUNCT
ejpam-5907	143	98	,	,	PUNCT
ejpam-5907	143	99	(	(	PUNCT
ejpam-5907	143	100	ii	ii	NOUN
ejpam-5907	143	101	)	)	PUNCT
ejpam-5907	143	102	γ	γ	PROPN
ejpam-5907	143	103	∈	∈	PROPN
ejpam-5907	143	104	s	s	PART
ejpam-5907	143	105	and	and	CCONJ
ejpam-5907	143	106	ψ′	ψ′	PROPN
ejpam-5907	143	107	∈	∈	PROPN
ejpam-5907	143	108	ψ′(h	ψ′(h	PROPN
ejpam-5907	143	109	,	,	PUNCT
ejpam-5907	143	110	γρ	γρ	NOUN
ejpam-5907	143	111	)	)	PUNCT
ejpam-5907	143	112	,	,	PUNCT
ejpam-5907	143	113	or	or	CCONJ
ejpam-5907	143	114	(	(	PUNCT
ejpam-5907	143	115	iii	iii	X
ejpam-5907	143	116	)	)	PUNCT
ejpam-5907	143	117	γ	γ	PROPN
ejpam-5907	143	118	∈	∈	NOUN
ejpam-5907	143	119	s	s	PART
ejpam-5907	143	120	and	and	CCONJ
ejpam-5907	143	121	there	there	PRON
ejpam-5907	143	122	exists	exist	VERB
ejpam-5907	143	123	ρ0	ρ0	PROPN
ejpam-5907	143	124	∈	∈	PROPN
ejpam-5907	143	125	(	(	PUNCT
ejpam-5907	143	126	0	0	NUM
ejpam-5907	143	127	,	,	PUNCT
ejpam-5907	143	128	1	1	NUM
ejpam-5907	143	129	)	)	PUNCT
ejpam-5907	144	1	such	such	ADJ
ejpam-5907	144	2	that	that	SCONJ
ejpam-5907	144	3	ψ′	ψ′	PUNCT
ejpam-5907	144	4	∈	∈	PROPN
ejpam-5907	144	5	ψ′(hρ	ψ′(hρ	NOUN
ejpam-5907	144	6	,	,	PUNCT
ejpam-5907	144	7	γρ	γρ	NOUN
ejpam-5907	144	8	)	)	PUNCT
ejpam-5907	144	9	for	for	ADP
ejpam-5907	144	10	all	all	DET
ejpam-5907	144	11	ρ	ρ	NUM
ejpam-5907	144	12	∈	∈	PROPN
ejpam-5907	144	13	(	(	PUNCT
ejpam-5907	144	14	0	0	NUM
ejpam-5907	144	15	,	,	PUNCT
ejpam-5907	144	16	1	1	NUM
ejpam-5907	144	17	)	)	PUNCT
ejpam-5907	144	18	.	.	PUNCT
ejpam-5907	144	19	e.	e.	PROPN
ejpam-5907	144	20	amini	amini	PROPN
ejpam-5907	144	21	,	,	PUNCT
ejpam-5907	144	22	s.	s.	PROPN
ejpam-5907	144	23	al	al	PROPN
ejpam-5907	144	24	-	-	PUNCT
ejpam-5907	144	25	omari	omari	PROPN
ejpam-5907	144	26	,	,	PUNCT
ejpam-5907	144	27	m.	m.	NOUN
ejpam-5907	144	28	khandaqji	khandaqji	PROPN
ejpam-5907	144	29	/	/	SYM
ejpam-5907	144	30	eur	eur	PROPN
ejpam-5907	144	31	.	.	PUNCT
ejpam-5907	145	1	j.	j.	PROPN
ejpam-5907	145	2	pure	pure	PROPN
ejpam-5907	145	3	appl	appl	PROPN
ejpam-5907	145	4	.	.	PROPN
ejpam-5907	145	5	math	math	PROPN
ejpam-5907	145	6	,	,	PUNCT
ejpam-5907	145	7	18	18	NUM
ejpam-5907	145	8	(	(	PUNCT
ejpam-5907	145	9	2	2	NUM
ejpam-5907	145	10	)	)	PUNCT
ejpam-5907	145	11	(	(	PUNCT
ejpam-5907	145	12	2025	2025	NUM
ejpam-5907	145	13	)	)	PUNCT
ejpam-5907	145	14	,	,	PUNCT
ejpam-5907	145	15	5907	5907	NUM
ejpam-5907	145	16	8	8	NUM
ejpam-5907	145	17	of	of	ADP
ejpam-5907	145	18	22	22	NUM
ejpam-5907	145	19	if	if	SCONJ
ejpam-5907	145	20	p(ζ	p(ζ	PROPN
ejpam-5907	145	21	)	)	PUNCT
ejpam-5907	145	22	=	=	SYM
ejpam-5907	146	1	σ	σ	PROPN
ejpam-5907	146	2	αq	αq	ADP
ejpam-5907	146	3	µ	µ	X
ejpam-5907	146	4	βf(ζ	βf(ζ	X
ejpam-5907	146	5	k	k	NOUN
ejpam-5907	146	6	)	)	PUNCT
ejpam-5907	146	7	(	(	PUNCT
ejpam-5907	146	8	13	13	NUM
ejpam-5907	146	9	)	)	PUNCT
ejpam-5907	146	10	and	and	CCONJ
ejpam-5907	146	11	ψ′(p(ζ	ψ′(p(ζ	NOUN
ejpam-5907	146	12	)	)	PUNCT
ejpam-5907	146	13	,	,	PUNCT
ejpam-5907	146	14	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	146	15	)	)	PUNCT
ejpam-5907	146	16	,	,	PUNCT
ejpam-5907	146	17	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	146	18	)	)	PUNCT
ejpam-5907	146	19	;	;	PUNCT
ejpam-5907	146	20	ζ	ζ	X
ejpam-5907	146	21	)	)	PUNCT
ejpam-5907	146	22	∈	∈	PROPN
ejpam-5907	146	23	a	a	DET
ejpam-5907	146	24	such	such	ADJ
ejpam-5907	146	25	that	that	DET
ejpam-5907	146	26	ψ′(p(ζ	ψ′(p(ζ	PROPN
ejpam-5907	146	27	)	)	PUNCT
ejpam-5907	146	28	,	,	PUNCT
ejpam-5907	146	29	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	146	30	)	)	PUNCT
ejpam-5907	146	31	,	,	PUNCT
ejpam-5907	146	32	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	146	33	)	)	PUNCT
ejpam-5907	146	34	;	;	PUNCT
ejpam-5907	146	35	ζ	ζ	X
ejpam-5907	146	36	)	)	PUNCT
ejpam-5907	146	37	≺	≺	NOUN
ejpam-5907	146	38	h(ζ	h(ζ	NOUN
ejpam-5907	146	39	)	)	PUNCT
ejpam-5907	146	40	,	,	PUNCT
ejpam-5907	146	41	(	(	PUNCT
ejpam-5907	146	42	14	14	NUM
ejpam-5907	146	43	)	)	PUNCT
ejpam-5907	146	44	then	then	ADV
ejpam-5907	146	45	p(ζ	p(ζ	PROPN
ejpam-5907	146	46	)	)	PUNCT
ejpam-5907	146	47	≺	≺	NOUN
ejpam-5907	146	48	γ(ζ	γ(ζ	NOUN
ejpam-5907	146	49	)	)	PUNCT
ejpam-5907	146	50	and	and	CCONJ
ejpam-5907	146	51	γ	γ	X
ejpam-5907	146	52	is	be	AUX
ejpam-5907	146	53	the	the	DET
ejpam-5907	146	54	best	good	ADJ
ejpam-5907	146	55	dominant	dominant	ADJ
ejpam-5907	146	56	.	.	PUNCT
ejpam-5907	147	1	proof	proof	NOUN
ejpam-5907	147	2	.	.	PUNCT
ejpam-5907	148	1	because	because	SCONJ
ejpam-5907	148	2	of	of	ADP
ejpam-5907	148	3	theorems	theorem	NOUN
ejpam-5907	148	4	2	2	NUM
ejpam-5907	148	5	and	and	CCONJ
ejpam-5907	148	6	3	3	NUM
ejpam-5907	148	7	,	,	PUNCT
ejpam-5907	148	8	we	we	PRON
ejpam-5907	148	9	deduce	deduce	VERB
ejpam-5907	148	10	that	that	SCONJ
ejpam-5907	148	11	γ	γ	PROPN
ejpam-5907	148	12	is	be	AUX
ejpam-5907	148	13	dominant	dominant	ADJ
ejpam-5907	148	14	(	(	PUNCT
ejpam-5907	148	15	14	14	NUM
ejpam-5907	148	16	)	)	PUNCT
ejpam-5907	148	17	.	.	PUNCT
ejpam-5907	149	1	from	from	ADP
ejpam-5907	149	2	(	(	PUNCT
ejpam-5907	149	3	7	7	NUM
ejpam-5907	149	4	)	)	PUNCT
ejpam-5907	149	5	and	and	CCONJ
ejpam-5907	149	6	(	(	PUNCT
ejpam-5907	149	7	13	13	NUM
ejpam-5907	149	8	)	)	PUNCT
ejpam-5907	149	9	,	,	PUNCT
ejpam-5907	149	10	we	we	PRON
ejpam-5907	149	11	obtain	obtain	VERB
ejpam-5907	149	12	that	that	PRON
ejpam-5907	149	13	kζk−1σ	kζk−1σ	PROPN
ejpam-5907	149	14	αq	αq	ADP
ejpam-5907	149	15	µ+1	µ+1	PROPN
ejpam-5907	149	16	β	β	X
ejpam-5907	149	17	f(ζk	f(ζk	X
ejpam-5907	149	18	)	)	PUNCT
ejpam-5907	149	19	=	=	SYM
ejpam-5907	149	20	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	149	21	)	)	PUNCT
ejpam-5907	150	1	+	+	CCONJ
ejpam-5907	150	2	(	(	PUNCT
ejpam-5907	150	3	µ−	µ−	PROPN
ejpam-5907	150	4	1)kζk−1p(ζ	1)kζk−1p(ζ	NUM
ejpam-5907	150	5	)	)	PUNCT
ejpam-5907	150	6	µ	µ	NOUN
ejpam-5907	150	7	.	.	PUNCT
ejpam-5907	151	1	(	(	PUNCT
ejpam-5907	151	2	15	15	NUM
ejpam-5907	151	3	)	)	PUNCT
ejpam-5907	151	4	moreover	moreover	ADV
ejpam-5907	151	5	,	,	PUNCT
ejpam-5907	151	6	a	a	DET
ejpam-5907	151	7	simple	simple	ADJ
ejpam-5907	151	8	computation	computation	NOUN
ejpam-5907	151	9	shows	show	VERB
ejpam-5907	151	10	that	that	SCONJ
ejpam-5907	151	11	k2ζ2(k−1)σ	k2ζ2(k−1)σ	PROPN
ejpam-5907	151	12	αq	αq	ADP
ejpam-5907	151	13	µ+2	µ+2	PROPN
ejpam-5907	151	14	β	β	X
ejpam-5907	151	15	f(ζk	f(ζk	X
ejpam-5907	151	16	)	)	PUNCT
ejpam-5907	151	17	=	=	PUNCT
ejpam-5907	151	18	ζ2p′′(ζ	ζ2p′′(ζ	ADV
ejpam-5907	151	19	)	)	PUNCT
ejpam-5907	152	1	+	+	CCONJ
ejpam-5907	152	2	(	(	PUNCT
ejpam-5907	152	3	1−	1−	NUM
ejpam-5907	152	4	k	k	NOUN
ejpam-5907	152	5	+	+	CCONJ
ejpam-5907	152	6	2(µ−	2(µ−	NUM
ejpam-5907	152	7	1)kζk+1	1)kζk+1	NUM
ejpam-5907	152	8	)	)	PUNCT
ejpam-5907	152	9	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	152	10	)	)	PUNCT
ejpam-5907	153	1	+	+	CCONJ
ejpam-5907	153	2	(	(	PUNCT
ejpam-5907	153	3	µ−	µ−	PROPN
ejpam-5907	153	4	1)2k2ζ2k−1p(ζ	1)2k2ζ2k−1p(ζ	NUM
ejpam-5907	153	5	)	)	PUNCT
ejpam-5907	153	6	µ2	µ2	PROPN
ejpam-5907	153	7	.(16	.(16	PUNCT
ejpam-5907	153	8	)	)	PUNCT
ejpam-5907	153	9	similar	similar	ADJ
ejpam-5907	153	10	to	to	ADP
ejpam-5907	153	11	the	the	DET
ejpam-5907	153	12	proof	proof	NOUN
ejpam-5907	153	13	of	of	ADP
ejpam-5907	153	14	the	the	DET
ejpam-5907	153	15	theorem	theorem	NOUN
ejpam-5907	153	16	1	1	NUM
ejpam-5907	153	17	,	,	PUNCT
ejpam-5907	153	18	we	we	PRON
ejpam-5907	153	19	define	define	VERB
ejpam-5907	153	20	the	the	DET
ejpam-5907	153	21	transformation	transformation	NOUN
ejpam-5907	153	22	h	h	NOUN
ejpam-5907	153	23	:	:	PUNCT
ejpam-5907	154	1	c3	c3	PROPN
ejpam-5907	154	2	×∆	×∆	PROPN
ejpam-5907	154	3	→	→	SYM
ejpam-5907	154	4	c	c	PROPN
ejpam-5907	154	5	as	as	SCONJ
ejpam-5907	154	6	follows	follow	VERB
ejpam-5907	154	7	h	h	NOUN
ejpam-5907	154	8	(	(	PUNCT
ejpam-5907	154	9	p(ζ	p(ζ	PROPN
ejpam-5907	154	10	)	)	PUNCT
ejpam-5907	154	11	,	,	PUNCT
ejpam-5907	154	12	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	154	13	)	)	PUNCT
ejpam-5907	154	14	,	,	PUNCT
ejpam-5907	154	15	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	154	16	)	)	PUNCT
ejpam-5907	154	17	;	;	PUNCT
ejpam-5907	154	18	ζ	ζ	X
ejpam-5907	154	19	)	)	PUNCT
ejpam-5907	154	20	=	=	SYM
ejpam-5907	154	21	ψ′	ψ′	PROPN
ejpam-5907	154	22	(	(	PUNCT
ejpam-5907	154	23	σ	σ	PROPN
ejpam-5907	154	24	αq	αq	PROPN
ejpam-5907	154	25	µ	µ	X
ejpam-5907	154	26	βf(ζ	βf(ζ	X
ejpam-5907	154	27	k	k	NOUN
ejpam-5907	154	28	)	)	PUNCT
ejpam-5907	154	29	,	,	PUNCT
ejpam-5907	154	30	kζk−1σ	kζk−1σ	PROPN
ejpam-5907	154	31	αq	αq	ADP
ejpam-5907	154	32	µ+1	µ+1	PROPN
ejpam-5907	154	33	β	β	X
ejpam-5907	154	34	f(ζk	f(ζk	NOUN
ejpam-5907	154	35	)	)	PUNCT
ejpam-5907	154	36	,	,	PUNCT
ejpam-5907	154	37	k2ζ2(k−1)σ	k2ζ2(k−1)σ	PROPN
ejpam-5907	154	38	αq	αq	PROPN
ejpam-5907	154	39	µ+2	µ+2	PROPN
ejpam-5907	154	40	β	β	X
ejpam-5907	154	41	f(ζk	f(ζk	PROPN
ejpam-5907	154	42	)	)	PUNCT
ejpam-5907	154	43	;	;	PUNCT
ejpam-5907	154	44	ζ	ζ	NOUN
ejpam-5907	154	45	)	)	PUNCT
ejpam-5907	154	46	.	.	PUNCT
ejpam-5907	155	1	therefore	therefore	ADV
ejpam-5907	155	2	,	,	PUNCT
ejpam-5907	155	3	from	from	ADP
ejpam-5907	155	4	(	(	PUNCT
ejpam-5907	155	5	12	12	NUM
ejpam-5907	155	6	)	)	PUNCT
ejpam-5907	155	7	we	we	PRON
ejpam-5907	155	8	obtain	obtain	VERB
ejpam-5907	155	9	that	that	DET
ejpam-5907	155	10	h	h	NOUN
ejpam-5907	155	11	(	(	PUNCT
ejpam-5907	155	12	p(ζ	p(ζ	PROPN
ejpam-5907	155	13	)	)	PUNCT
ejpam-5907	155	14	,	,	PUNCT
ejpam-5907	155	15	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	155	16	)	)	PUNCT
ejpam-5907	155	17	,	,	PUNCT
ejpam-5907	155	18	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	155	19	)	)	PUNCT
ejpam-5907	155	20	;	;	PUNCT
ejpam-5907	155	21	ζ	ζ	X
ejpam-5907	155	22	)	)	PUNCT
ejpam-5907	155	23	=	=	SYM
ejpam-5907	155	24	γ(ζk	γ(ζk	NUM
ejpam-5907	155	25	)	)	PUNCT
ejpam-5907	155	26	≺	≺	NOUN
ejpam-5907	155	27	γ(ζ	γ(ζ	NOUN
ejpam-5907	155	28	)	)	PUNCT
ejpam-5907	155	29	.	.	PUNCT
ejpam-5907	156	1	since	since	SCONJ
ejpam-5907	156	2	p(∆	p(∆	NUM
ejpam-5907	156	3	)	)	PUNCT
ejpam-5907	156	4	=	=	SYM
ejpam-5907	156	5	γ(∆	γ(∆	NUM
ejpam-5907	156	6	)	)	PUNCT
ejpam-5907	156	7	,	,	PUNCT
ejpam-5907	156	8	we	we	PRON
ejpam-5907	156	9	conclude	conclude	VERB
ejpam-5907	156	10	that	that	SCONJ
ejpam-5907	156	11	γ	γ	PROPN
ejpam-5907	156	12	is	be	AUX
ejpam-5907	156	13	the	the	DET
ejpam-5907	156	14	best	good	ADJ
ejpam-5907	156	15	dominant	dominant	NOUN
ejpam-5907	156	16	.	.	PUNCT
ejpam-5907	157	1	this	this	PRON
ejpam-5907	157	2	completes	complete	VERB
ejpam-5907	157	3	the	the	DET
ejpam-5907	157	4	proof	proof	NOUN
ejpam-5907	157	5	of	of	ADP
ejpam-5907	157	6	theorem	theorem	NOUN
ejpam-5907	157	7	4	4	NUM
ejpam-5907	157	8	.	.	PUNCT
ejpam-5907	157	9	in	in	ADP
ejpam-5907	157	10	this	this	DET
ejpam-5907	157	11	particular	particular	ADJ
ejpam-5907	157	12	case	case	NOUN
ejpam-5907	157	13	,	,	PUNCT
ejpam-5907	157	14	we	we	PRON
ejpam-5907	157	15	define	define	VERB
ejpam-5907	157	16	the	the	DET
ejpam-5907	157	17	function	function	NOUN
ejpam-5907	157	18	γ2	γ2	NOUN
ejpam-5907	157	19	:	:	PUNCT
ejpam-5907	158	1	∆	∆	PROPN
ejpam-5907	158	2	−→	−→	NOUN
ejpam-5907	158	3	c	c	PROPN
ejpam-5907	158	4	as	as	SCONJ
ejpam-5907	158	5	follows	follow	VERB
ejpam-5907	158	6	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	158	7	)	)	PUNCT
ejpam-5907	158	8	=	=	PUNCT
ejpam-5907	158	9	z	z	NOUN
ejpam-5907	158	10	−	−	NOUN
ejpam-5907	158	11	β1z	β1z	NOUN
ejpam-5907	158	12	2	2	NUM
ejpam-5907	158	13	,	,	PUNCT
ejpam-5907	158	14	|β1|	|β1|	VERB
ejpam-5907	158	15	<	<	X
ejpam-5907	158	16	1	1	X
ejpam-5907	158	17	.	.	PUNCT
ejpam-5907	159	1	(	(	PUNCT
ejpam-5907	159	2	17	17	NUM
ejpam-5907	159	3	)	)	PUNCT
ejpam-5907	159	4	now	now	ADV
ejpam-5907	159	5	,	,	PUNCT
ejpam-5907	159	6	we	we	PRON
ejpam-5907	159	7	introduce	introduce	VERB
ejpam-5907	159	8	and	and	CCONJ
ejpam-5907	159	9	investigate	investigate	VERB
ejpam-5907	159	10	the	the	DET
ejpam-5907	159	11	class	class	NOUN
ejpam-5907	159	12	ψ′(∆	ψ′(∆	PROPN
ejpam-5907	159	13	,	,	PUNCT
ejpam-5907	159	14	γ2	γ2	NOUN
ejpam-5907	159	15	)	)	PUNCT
ejpam-5907	159	16	consisting	consist	VERB
ejpam-5907	159	17	of	of	ADP
ejpam-5907	159	18	all	all	DET
ejpam-5907	159	19	admissible	admissible	ADJ
ejpam-5907	159	20	functions	function	NOUN
ejpam-5907	159	21	.	.	PUNCT
ejpam-5907	160	1	definition	definition	NOUN
ejpam-5907	160	2	5	5	NUM
ejpam-5907	160	3	.	.	PUNCT
ejpam-5907	161	1	let	let	VERB
ejpam-5907	161	2	γ2(ζ	γ2(ζ	PRON
ejpam-5907	161	3	)	)	PUNCT
ejpam-5907	161	4	be	be	AUX
ejpam-5907	161	5	given	give	VERB
ejpam-5907	161	6	by	by	ADP
ejpam-5907	161	7	(	(	PUNCT
ejpam-5907	161	8	22	22	NUM
ejpam-5907	161	9	)	)	PUNCT
ejpam-5907	161	10	and	and	CCONJ
ejpam-5907	161	11	µ	µ	PRON
ejpam-5907	161	12	∈	∈	ADP
ejpam-5907	161	13	c	c	X
ejpam-5907	161	14	,	,	PUNCT
ejpam-5907	161	15	(	(	PUNCT
ejpam-5907	161	16	µ	µ	X
ejpam-5907	161	17	̸=	̸=	PROPN
ejpam-5907	161	18	0	0	NUM
ejpam-5907	161	19	,	,	PUNCT
ejpam-5907	161	20	1	1	NUM
ejpam-5907	161	21	)	)	PUNCT
ejpam-5907	161	22	.	.	PUNCT
ejpam-5907	162	1	then	then	ADV
ejpam-5907	162	2	,	,	PUNCT
ejpam-5907	162	3	we	we	PRON
ejpam-5907	162	4	define	define	VERB
ejpam-5907	162	5	the	the	DET
ejpam-5907	162	6	class	class	NOUN
ejpam-5907	162	7	of	of	ADP
ejpam-5907	162	8	admissible	admissible	ADJ
ejpam-5907	162	9	functions	function	NOUN
ejpam-5907	162	10	ψ′(∆	ψ′(∆	PROPN
ejpam-5907	162	11	,	,	PUNCT
ejpam-5907	162	12	γ2	γ2	NOUN
ejpam-5907	162	13	)	)	PUNCT
ejpam-5907	162	14	to	to	PART
ejpam-5907	162	15	be	be	AUX
ejpam-5907	162	16	the	the	DET
ejpam-5907	162	17	set	set	NOUN
ejpam-5907	162	18	of	of	ADP
ejpam-5907	162	19	all	all	DET
ejpam-5907	162	20	functions	function	NOUN
ejpam-5907	162	21	ψ′	ψ′	PUNCT
ejpam-5907	162	22	:	:	PUNCT
ejpam-5907	162	23	c3×∆	c3×∆	PUNCT
ejpam-5907	163	1	−→	−→	NOUN
ejpam-5907	163	2	c	c	NOUN
ejpam-5907	163	3	satisfying	satisfy	VERB
ejpam-5907	163	4	the	the	DET
ejpam-5907	163	5	following	follow	VERB
ejpam-5907	163	6	admissibility	admissibility	NOUN
ejpam-5907	163	7	conditions	condition	NOUN
ejpam-5907	163	8	:	:	PUNCT
ejpam-5907	163	9	ψ′(τ	ψ′(τ	PROPN
ejpam-5907	163	10	′1	′1	PROPN
ejpam-5907	163	11	,	,	PUNCT
ejpam-5907	163	12	τ	τ	PROPN
ejpam-5907	163	13	′	′	NUM
ejpam-5907	163	14	2	2	NUM
ejpam-5907	163	15	,	,	PUNCT
ejpam-5907	163	16	τ	τ	PROPN
ejpam-5907	163	17	′	′	NUM
ejpam-5907	163	18	3	3	NUM
ejpam-5907	163	19	,	,	PUNCT
ejpam-5907	163	20	ζ	ζ	NOUN
ejpam-5907	163	21	)	)	PUNCT
ejpam-5907	163	22	/∈	/∈	PUNCT
ejpam-5907	164	1	∆	∆	PROPN
ejpam-5907	164	2	where	where	SCONJ
ejpam-5907	164	3	τ	τ	X
ejpam-5907	164	4	′1	′1	X
ejpam-5907	164	5	=	=	SYM
ejpam-5907	164	6	z	z	NOUN
ejpam-5907	164	7	−	−	PROPN
ejpam-5907	164	8	β1z	β1z	NOUN
ejpam-5907	164	9	2	2	NUM
ejpam-5907	164	10	,	,	PUNCT
ejpam-5907	164	11	τ	τ	X
ejpam-5907	164	12	′2	′2	X
ejpam-5907	164	13	=	=	SYM
ejpam-5907	164	14	meiθ(1−	meiθ(1−	PROPN
ejpam-5907	164	15	2β1e	2β1e	PROPN
ejpam-5907	164	16	iθ	iθ	NOUN
ejpam-5907	164	17	)	)	PUNCT
ejpam-5907	164	18	+	+	CCONJ
ejpam-5907	164	19	(	(	PUNCT
ejpam-5907	164	20	µ−	µ−	PROPN
ejpam-5907	164	21	1)(eiθ	1)(eiθ	NOUN
ejpam-5907	164	22	−	−	PROPN
ejpam-5907	164	23	2β1e	2β1e	ADJ
ejpam-5907	164	24	2iθ	2iθ	NOUN
ejpam-5907	164	25	)	)	PUNCT
ejpam-5907	164	26	µ	µ	PROPN
ejpam-5907	164	27	,	,	PUNCT
ejpam-5907	164	28	e.	e.	PROPN
ejpam-5907	164	29	amini	amini	PROPN
ejpam-5907	164	30	,	,	PUNCT
ejpam-5907	164	31	s.	s.	PROPN
ejpam-5907	164	32	al	al	PROPN
ejpam-5907	164	33	-	-	PUNCT
ejpam-5907	164	34	omari	omari	PROPN
ejpam-5907	164	35	,	,	PUNCT
ejpam-5907	164	36	m.	m.	NOUN
ejpam-5907	164	37	khandaqji	khandaqji	PROPN
ejpam-5907	164	38	/	/	SYM
ejpam-5907	164	39	eur	eur	PROPN
ejpam-5907	164	40	.	.	PUNCT
ejpam-5907	165	1	j.	j.	PROPN
ejpam-5907	165	2	pure	pure	PROPN
ejpam-5907	165	3	appl	appl	PROPN
ejpam-5907	165	4	.	.	PROPN
ejpam-5907	165	5	math	math	PROPN
ejpam-5907	165	6	,	,	PUNCT
ejpam-5907	165	7	18	18	NUM
ejpam-5907	165	8	(	(	PUNCT
ejpam-5907	165	9	2	2	NUM
ejpam-5907	165	10	)	)	PUNCT
ejpam-5907	165	11	(	(	PUNCT
ejpam-5907	165	12	2025	2025	NUM
ejpam-5907	165	13	)	)	PUNCT
ejpam-5907	165	14	,	,	PUNCT
ejpam-5907	165	15	5907	5907	NUM
ejpam-5907	165	16	9	9	NUM
ejpam-5907	165	17	of	of	ADP
ejpam-5907	165	18	22	22	NUM
ejpam-5907	165	19	τ	τ	NOUN
ejpam-5907	165	20	′3	′3	NOUN
ejpam-5907	165	21	=	=	PUNCT
ejpam-5907	165	22	l+	l+	X
ejpam-5907	165	23	(	(	PUNCT
ejpam-5907	165	24	2µ−	2µ−	NUM
ejpam-5907	165	25	1)meiθ(1−	1)meiθ(1−	NUM
ejpam-5907	165	26	2β1e	2β1e	NUM
ejpam-5907	165	27	iθ	iθ	NOUN
ejpam-5907	165	28	)	)	PUNCT
ejpam-5907	165	29	+	+	CCONJ
ejpam-5907	165	30	(	(	PUNCT
ejpam-5907	165	31	µ−	µ−	PROPN
ejpam-5907	165	32	1)2(eiθ	1)2(eiθ	NUM
ejpam-5907	165	33	−	−	PROPN
ejpam-5907	165	34	β1e	β1e	PUNCT
ejpam-5907	166	1	iθ	iθ	NOUN
ejpam-5907	166	2	µ2	µ2	PROPN
ejpam-5907	166	3	,	,	PUNCT
ejpam-5907	166	4	such	such	ADJ
ejpam-5907	166	5	that	that	SCONJ
ejpam-5907	166	6	re	re	ADP
ejpam-5907	166	7	{	{	PUNCT
ejpam-5907	166	8	le−iθ	le−iθ	PROPN
ejpam-5907	166	9	1−	1−	NUM
ejpam-5907	166	10	2β1eiθ	2β1eiθ	NUM
ejpam-5907	166	11	}	}	PUNCT
ejpam-5907	166	12	≥	≥	NOUN
ejpam-5907	166	13	m2	m2	PROPN
ejpam-5907	166	14	2β(1−	2β(1−	PROPN
ejpam-5907	166	15	cos	cos	PROPN
ejpam-5907	166	16	θ	θ	PROPN
ejpam-5907	166	17	)	)	PUNCT
ejpam-5907	166	18	1	1	NUM
ejpam-5907	166	19	+	+	CCONJ
ejpam-5907	166	20	2β(1−	2β(1−	NUM
ejpam-5907	166	21	2	2	NUM
ejpam-5907	166	22	cos	cos	NOUN
ejpam-5907	166	23	θ	θ	PROPN
ejpam-5907	166	24	)	)	PUNCT
ejpam-5907	166	25	,	,	PUNCT
ejpam-5907	166	26	where	where	SCONJ
ejpam-5907	166	27	ζ	ζ	X
ejpam-5907	166	28	∈	∈	PROPN
ejpam-5907	166	29	∆	∆	PROPN
ejpam-5907	166	30	,	,	PUNCT
ejpam-5907	166	31	θ	θ	PROPN
ejpam-5907	166	32	∈	∈	PROPN
ejpam-5907	166	33	r	r	NOUN
ejpam-5907	166	34	,	,	PUNCT
ejpam-5907	166	35	|β1|	|β1|	NOUN
ejpam-5907	166	36	<	<	X
ejpam-5907	166	37	1	1	NUM
ejpam-5907	166	38	and	and	CCONJ
ejpam-5907	166	39	m	m	PROPN
ejpam-5907	166	40	≥	≥	NOUN
ejpam-5907	166	41	1	1	NUM
ejpam-5907	166	42	.	.	PUNCT
ejpam-5907	166	43	theorem	theorem	NOUN
ejpam-5907	166	44	5	5	NUM
ejpam-5907	166	45	.	.	PUNCT
ejpam-5907	167	1	let	let	VERB
ejpam-5907	167	2	γ2(ζ	γ2(ζ	PRON
ejpam-5907	167	3	)	)	PUNCT
ejpam-5907	167	4	be	be	AUX
ejpam-5907	167	5	given	give	VERB
ejpam-5907	167	6	by	by	ADP
ejpam-5907	167	7	(	(	PUNCT
ejpam-5907	167	8	22	22	NUM
ejpam-5907	167	9	)	)	PUNCT
ejpam-5907	167	10	,	,	PUNCT
ejpam-5907	167	11	ψ′	ψ′	PUNCT
ejpam-5907	167	12	∈	∈	PROPN
ejpam-5907	167	13	ψ′(∆	ψ′(∆	PROPN
ejpam-5907	167	14	,	,	PUNCT
ejpam-5907	167	15	γ2	γ2	NOUN
ejpam-5907	167	16	)	)	PUNCT
ejpam-5907	167	17	and	and	CCONJ
ejpam-5907	167	18	µ	µ	PRON
ejpam-5907	167	19	∈	∈	ADP
ejpam-5907	167	20	c	c	X
ejpam-5907	167	21	,	,	PUNCT
ejpam-5907	167	22	(	(	PUNCT
ejpam-5907	167	23	µ	µ	X
ejpam-5907	167	24	̸=	̸=	PROPN
ejpam-5907	167	25	0	0	NUM
ejpam-5907	167	26	,	,	PUNCT
ejpam-5907	167	27	1	1	NUM
ejpam-5907	167	28	)	)	PUNCT
ejpam-5907	167	29	.	.	PUNCT
ejpam-5907	168	1	if	if	SCONJ
ejpam-5907	168	2	f	f	PROPN
ejpam-5907	168	3	∈	∈	PROPN
ejpam-5907	168	4	a	a	DET
ejpam-5907	168	5	satisfies	satisfie	NOUN
ejpam-5907	168	6	{	{	PUNCT
ejpam-5907	168	7	ψ′	ψ′	PROPN
ejpam-5907	168	8	(	(	PUNCT
ejpam-5907	168	9	σ	σ	PROPN
ejpam-5907	168	10	αq	αq	PROPN
ejpam-5907	168	11	µ	µ	NOUN
ejpam-5907	168	12	βf(ζ	βf(ζ	NUM
ejpam-5907	168	13	)	)	PUNCT
ejpam-5907	168	14	,	,	PUNCT
ejpam-5907	168	15	σ	σ	PROPN
ejpam-5907	168	16	αq	αq	ADP
ejpam-5907	168	17	µ+1	µ+1	PRON
ejpam-5907	168	18	β	β	X
ejpam-5907	168	19	f(ζ	f(ζ	PROPN
ejpam-5907	168	20	)	)	PUNCT
ejpam-5907	168	21	,	,	PUNCT
ejpam-5907	168	22	σαq	σαq	PROPN
ejpam-5907	168	23	µ+2	µ+2	PROPN
ejpam-5907	168	24	β	β	PROPN
ejpam-5907	168	25	f(ζ	f(ζ	PROPN
ejpam-5907	168	26	)	)	PUNCT
ejpam-5907	168	27	,	,	PUNCT
ejpam-5907	168	28	ζ	ζ	NOUN
ejpam-5907	168	29	)	)	PUNCT
ejpam-5907	168	30	,	,	PUNCT
ejpam-5907	168	31	ζ	ζ	PROPN
ejpam-5907	168	32	∈	∈	PROPN
ejpam-5907	168	33	∆	∆	X
ejpam-5907	168	34	}	}	PUNCT
ejpam-5907	168	35	∈	∈	PROPN
ejpam-5907	168	36	∆	∆	PROPN
ejpam-5907	168	37	,	,	PUNCT
ejpam-5907	168	38	then	then	ADV
ejpam-5907	168	39	,	,	PUNCT
ejpam-5907	168	40	we	we	PRON
ejpam-5907	168	41	have	have	VERB
ejpam-5907	168	42	σ	σ	NUM
ejpam-5907	168	43	αq	αq	ADP
ejpam-5907	168	44	µ	µ	NOUN
ejpam-5907	168	45	βf(ζ	βf(ζ	NUM
ejpam-5907	168	46	)	)	PUNCT
ejpam-5907	168	47	≺	≺	NOUN
ejpam-5907	168	48	z	z	NOUN
ejpam-5907	168	49	−	−	NUM
ejpam-5907	168	50	β1z	β1z	NOUN
ejpam-5907	168	51	2	2	NUM
ejpam-5907	168	52	,	,	PUNCT
ejpam-5907	168	53	(	(	PUNCT
ejpam-5907	168	54	|β1|	|β1|	VERB
ejpam-5907	168	55	<	<	X
ejpam-5907	168	56	1	1	NUM
ejpam-5907	168	57	)	)	PUNCT
ejpam-5907	168	58	.	.	PUNCT
ejpam-5907	169	1	proof	proof	NOUN
ejpam-5907	169	2	.	.	PUNCT
ejpam-5907	170	1	similar	similar	ADJ
ejpam-5907	170	2	to	to	ADP
ejpam-5907	170	3	the	the	DET
ejpam-5907	170	4	proof	proof	NOUN
ejpam-5907	170	5	of	of	ADP
ejpam-5907	170	6	theorem	theorem	NOUN
ejpam-5907	170	7	1	1	NUM
ejpam-5907	170	8	,	,	PUNCT
ejpam-5907	170	9	we	we	PRON
ejpam-5907	170	10	can	can	AUX
ejpam-5907	170	11	proof	proof	NOUN
ejpam-5907	170	12	theorem	theorem	VERB
ejpam-5907	170	13	5	5	NUM
ejpam-5907	170	14	theorem	theorem	NOUN
ejpam-5907	170	15	6	6	NUM
ejpam-5907	170	16	.	.	PUNCT
ejpam-5907	171	1	let	let	VERB
ejpam-5907	171	2	h(ζ	h(ζ	NOUN
ejpam-5907	171	3	)	)	PUNCT
ejpam-5907	171	4	be	be	AUX
ejpam-5907	171	5	a	a	DET
ejpam-5907	171	6	conformal	conformal	ADJ
ejpam-5907	171	7	mapping	mapping	NOUN
ejpam-5907	171	8	from	from	ADP
ejpam-5907	171	9	∆	∆	PROPN
ejpam-5907	171	10	onto	onto	ADP
ejpam-5907	171	11	∆	∆	PROPN
ejpam-5907	171	12	,	,	PUNCT
ejpam-5907	171	13	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	171	14	)	)	PUNCT
ejpam-5907	171	15	be	be	AUX
ejpam-5907	171	16	given	give	VERB
ejpam-5907	171	17	by	by	ADP
ejpam-5907	171	18	(	(	PUNCT
ejpam-5907	171	19	22	22	NUM
ejpam-5907	171	20	)	)	PUNCT
ejpam-5907	171	21	,	,	PUNCT
ejpam-5907	171	22	ψ′	ψ′	PUNCT
ejpam-5907	171	23	∈	∈	PROPN
ejpam-5907	171	24	ψ′(∆	ψ′(∆	PROPN
ejpam-5907	171	25	,	,	PUNCT
ejpam-5907	171	26	γ2	γ2	PROPN
ejpam-5907	171	27	)	)	PUNCT
ejpam-5907	171	28	,	,	PUNCT
ejpam-5907	171	29	µ	µ	PROPN
ejpam-5907	171	30	∈	∈	PROPN
ejpam-5907	171	31	c	c	X
ejpam-5907	171	32	,	,	PUNCT
ejpam-5907	171	33	(	(	PUNCT
ejpam-5907	171	34	µ	µ	X
ejpam-5907	171	35	̸=	̸=	PROPN
ejpam-5907	171	36	0	0	NUM
ejpam-5907	171	37	,	,	PUNCT
ejpam-5907	171	38	1	1	NUM
ejpam-5907	171	39	)	)	PUNCT
ejpam-5907	171	40	and	and	CCONJ
ejpam-5907	171	41	ψ′	ψ′	PROPN
ejpam-5907	171	42	(	(	PUNCT
ejpam-5907	171	43	σ	σ	PROPN
ejpam-5907	171	44	αq	αq	PROPN
ejpam-5907	171	45	µ	µ	NOUN
ejpam-5907	171	46	βf(ζ	βf(ζ	NUM
ejpam-5907	171	47	)	)	PUNCT
ejpam-5907	171	48	,	,	PUNCT
ejpam-5907	171	49	σ	σ	PROPN
ejpam-5907	171	50	αq	αq	ADP
ejpam-5907	171	51	µ+1	µ+1	PRON
ejpam-5907	171	52	β	β	X
ejpam-5907	171	53	f(ζ	f(ζ	PROPN
ejpam-5907	171	54	)	)	PUNCT
ejpam-5907	171	55	,	,	PUNCT
ejpam-5907	171	56	σαq	σαq	PROPN
ejpam-5907	171	57	µ+2	µ+2	PROPN
ejpam-5907	171	58	β	β	PROPN
ejpam-5907	171	59	f(ζ	f(ζ	PROPN
ejpam-5907	171	60	)	)	PUNCT
ejpam-5907	171	61	,	,	PUNCT
ejpam-5907	171	62	ζ	ζ	NOUN
ejpam-5907	171	63	)	)	PUNCT
ejpam-5907	171	64	is	be	AUX
ejpam-5907	171	65	univalent	univalent	ADJ
ejpam-5907	171	66	in	in	ADP
ejpam-5907	171	67	∆.	∆.	PROPN
ejpam-5907	171	68	if	if	SCONJ
ejpam-5907	171	69	ψ′	ψ′	PROPN
ejpam-5907	171	70	(	(	PUNCT
ejpam-5907	171	71	σ	σ	PROPN
ejpam-5907	171	72	αq	αq	PROPN
ejpam-5907	171	73	µ	µ	NOUN
ejpam-5907	171	74	βf(ζ	βf(ζ	NUM
ejpam-5907	171	75	)	)	PUNCT
ejpam-5907	171	76	,	,	PUNCT
ejpam-5907	171	77	σ	σ	PROPN
ejpam-5907	171	78	αq	αq	ADP
ejpam-5907	171	79	µ+1	µ+1	PRON
ejpam-5907	171	80	β	β	X
ejpam-5907	171	81	f(ζ	f(ζ	PROPN
ejpam-5907	171	82	)	)	PUNCT
ejpam-5907	171	83	,	,	PUNCT
ejpam-5907	171	84	σαq	σαq	PROPN
ejpam-5907	171	85	µ+2	µ+2	PROPN
ejpam-5907	171	86	β	β	PROPN
ejpam-5907	171	87	f(ζ	f(ζ	PROPN
ejpam-5907	171	88	)	)	PUNCT
ejpam-5907	171	89	,	,	PUNCT
ejpam-5907	171	90	ζ	ζ	NOUN
ejpam-5907	171	91	)	)	PUNCT
ejpam-5907	171	92	≺	≺	NOUN
ejpam-5907	171	93	h(ζ	h(ζ	NOUN
ejpam-5907	171	94	)	)	PUNCT
ejpam-5907	171	95	,	,	PUNCT
ejpam-5907	171	96	then	then	ADV
ejpam-5907	171	97	,	,	PUNCT
ejpam-5907	171	98	we	we	PRON
ejpam-5907	171	99	have	have	VERB
ejpam-5907	171	100	∣∣∣σαqµ	∣∣∣σαqµ	PRON
ejpam-5907	171	101	βf(ζ	βf(ζ	NUM
ejpam-5907	171	102	)	)	PUNCT
ejpam-5907	171	103	∣∣∣	∣∣∣	NOUN
ejpam-5907	171	104	≤	≤	NUM
ejpam-5907	171	105	1	1	NUM
ejpam-5907	171	106	+	+	SYM
ejpam-5907	171	107	|β1|	|β1|	NOUN
ejpam-5907	171	108	,	,	PUNCT
ejpam-5907	171	109	(	(	PUNCT
ejpam-5907	171	110	18	18	NUM
ejpam-5907	171	111	)	)	PUNCT
ejpam-5907	171	112	for	for	ADP
ejpam-5907	171	113	all	all	DET
ejpam-5907	171	114	ζ	ζ	NOUN
ejpam-5907	171	115	in	in	ADP
ejpam-5907	171	116	the	the	DET
ejpam-5907	171	117	disc	disc	NOUN
ejpam-5907	171	118	|ζ|	|ζ|	NOUN
ejpam-5907	171	119	≤	≤	NOUN
ejpam-5907	171	120	1	1	NUM
ejpam-5907	171	121	2(3−	2(3−	NUM
ejpam-5907	171	122	√	√	NUM
ejpam-5907	171	123	5	5	NUM
ejpam-5907	171	124	)	)	PUNCT
ejpam-5907	171	125	and	and	CCONJ
ejpam-5907	171	126	|β1|	|β1|	VERB
ejpam-5907	171	127	<	<	X
ejpam-5907	171	128	1	1	X
ejpam-5907	171	129	.	.	PUNCT
ejpam-5907	172	1	this	this	DET
ejpam-5907	172	2	radius	radius	NOUN
ejpam-5907	172	3	is	be	AUX
ejpam-5907	172	4	best	well	ADV
ejpam-5907	172	5	possible	possible	ADJ
ejpam-5907	172	6	.	.	PUNCT
ejpam-5907	173	1	proof	proof	NOUN
ejpam-5907	173	2	.	.	PUNCT
ejpam-5907	174	1	in	in	ADP
ejpam-5907	174	2	view	view	NOUN
ejpam-5907	174	3	of	of	ADP
ejpam-5907	174	4	theorem	theorem	NOUN
ejpam-5907	174	5	2	2	NUM
ejpam-5907	174	6	,	,	PUNCT
ejpam-5907	174	7	we	we	PRON
ejpam-5907	174	8	obtain	obtain	VERB
ejpam-5907	174	9	that	that	SCONJ
ejpam-5907	174	10	σ	σ	PROPN
ejpam-5907	174	11	αq	αq	ADP
ejpam-5907	174	12	µ	µ	X
ejpam-5907	174	13	βf(ζ	βf(ζ	NUM
ejpam-5907	174	14	)	)	PUNCT
ejpam-5907	174	15	≺	≺	NOUN
ejpam-5907	174	16	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	174	17	)	)	PUNCT
ejpam-5907	174	18	.	.	PUNCT
ejpam-5907	175	1	now	now	ADV
ejpam-5907	175	2	,	,	PUNCT
ejpam-5907	175	3	by	by	ADP
ejpam-5907	175	4	applying	apply	VERB
ejpam-5907	175	5	lemma	lemma	PROPN
ejpam-5907	175	6	3	3	NUM
ejpam-5907	175	7	,	,	PUNCT
ejpam-5907	175	8	we	we	PRON
ejpam-5907	175	9	get∣∣∣σαqµ	get∣∣∣σαqµ	VERB
ejpam-5907	175	10	βf(ζ	βf(ζ	X
ejpam-5907	175	11	)	)	PUNCT
ejpam-5907	175	12	∣∣∣	∣∣∣	ADJ
ejpam-5907	175	13	≤	≤	NUM
ejpam-5907	175	14	|γ2(ζ)|	|γ2(ζ)|	NUM
ejpam-5907	175	15	,	,	PUNCT
ejpam-5907	175	16	for	for	ADP
ejpam-5907	175	17	all	all	DET
ejpam-5907	175	18	ζ	ζ	NOUN
ejpam-5907	175	19	in	in	ADP
ejpam-5907	175	20	the	the	DET
ejpam-5907	175	21	disc	disc	NOUN
ejpam-5907	175	22	|ζ|	|ζ|	NOUN
ejpam-5907	175	23	≤	≤	NOUN
ejpam-5907	175	24	1	1	NUM
ejpam-5907	175	25	2(3−	2(3−	NUM
ejpam-5907	175	26	√	√	NUM
ejpam-5907	175	27	5	5	NUM
ejpam-5907	175	28	)	)	PUNCT
ejpam-5907	175	29	.	.	PUNCT
ejpam-5907	176	1	from	from	ADP
ejpam-5907	176	2	the	the	DET
ejpam-5907	176	3	maximum	maximum	ADJ
ejpam-5907	176	4	-	-	PUNCT
ejpam-5907	176	5	modulus	modulus	ADJ
ejpam-5907	176	6	principle	principle	NOUN
ejpam-5907	176	7	,	,	PUNCT
ejpam-5907	176	8	we	we	PRON
ejpam-5907	176	9	have	have	VERB
ejpam-5907	176	10	|γ2(ζ)|	|γ2(ζ)|	PUNCT
ejpam-5907	176	11	≤	≤	NUM
ejpam-5907	176	12	1	1	NUM
ejpam-5907	176	13	+	+	SYM
ejpam-5907	176	14	|β1|	|β1|	NOUN
ejpam-5907	176	15	.	.	PUNCT
ejpam-5907	177	1	this	this	PRON
ejpam-5907	177	2	establishes	establish	VERB
ejpam-5907	177	3	inequality	inequality	NOUN
ejpam-5907	177	4	(	(	PUNCT
ejpam-5907	177	5	34	34	NUM
ejpam-5907	177	6	)	)	PUNCT
ejpam-5907	177	7	.	.	PUNCT
ejpam-5907	178	1	by	by	ADP
ejpam-5907	178	2	using	use	VERB
ejpam-5907	178	3	lemma	lemma	PROPN
ejpam-5907	178	4	3	3	NUM
ejpam-5907	178	5	we	we	PRON
ejpam-5907	178	6	conclude	conclude	VERB
ejpam-5907	178	7	that	that	SCONJ
ejpam-5907	178	8	this	this	DET
ejpam-5907	178	9	radius	radius	NOUN
ejpam-5907	178	10	is	be	AUX
ejpam-5907	178	11	best	well	ADV
ejpam-5907	178	12	possible	possible	ADJ
ejpam-5907	178	13	.	.	PUNCT
ejpam-5907	179	1	hence	hence	ADV
ejpam-5907	179	2	,	,	PUNCT
ejpam-5907	179	3	the	the	DET
ejpam-5907	179	4	proof	proof	NOUN
ejpam-5907	179	5	of	of	ADP
ejpam-5907	179	6	theorem	theorem	NOUN
ejpam-5907	179	7	6	6	NUM
ejpam-5907	179	8	is	be	AUX
ejpam-5907	179	9	completed	complete	VERB
ejpam-5907	179	10	.	.	PUNCT
ejpam-5907	180	1	plots	plot	NOUN
ejpam-5907	180	2	of	of	ADP
ejpam-5907	180	3	the	the	DET
ejpam-5907	180	4	suggested	suggest	VERB
ejpam-5907	180	5	function	function	NOUN
ejpam-5907	180	6	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	180	7	)	)	PUNCT
ejpam-5907	180	8	=	=	SYM
ejpam-5907	180	9	ζ	ζ	NOUN
ejpam-5907	180	10	−	−	PUNCT
ejpam-5907	180	11	β1ζ	β1ζ	SYM
ejpam-5907	180	12	2	2	NUM
ejpam-5907	180	13	in	in	ADP
ejpam-5907	180	14	the	the	DET
ejpam-5907	180	15	unit	unit	NOUN
ejpam-5907	180	16	disc	disc	NOUN
ejpam-5907	180	17	∆	∆	PROPN
ejpam-5907	180	18	are	be	AUX
ejpam-5907	180	19	illustrated	illustrate	VERB
ejpam-5907	180	20	in	in	ADP
ejpam-5907	180	21	figure	figure	NOUN
ejpam-5907	180	22	1(a	1(a	NUM
ejpam-5907	180	23	)	)	PUNCT
ejpam-5907	180	24	.	.	PUNCT
ejpam-5907	181	1	the	the	DET
ejpam-5907	181	2	parameter	parameter	NOUN
ejpam-5907	181	3	was	be	AUX
ejpam-5907	181	4	β1	β1	PROPN
ejpam-5907	181	5	=	=	PUNCT
ejpam-5907	181	6	1	1	NUM
ejpam-5907	181	7	2	2	NUM
ejpam-5907	181	8	.	.	PUNCT
ejpam-5907	182	1	by	by	ADP
ejpam-5907	182	2	putting	put	VERB
ejpam-5907	182	3	ψ′(τ	ψ′(τ	PART
ejpam-5907	182	4	′1	′1	NOUN
ejpam-5907	182	5	,	,	PUNCT
ejpam-5907	182	6	τ	τ	PROPN
ejpam-5907	182	7	′	′	NUM
ejpam-5907	182	8	2	2	NUM
ejpam-5907	182	9	,	,	PUNCT
ejpam-5907	182	10	τ	τ	PROPN
ejpam-5907	182	11	′	′	NUM
ejpam-5907	182	12	3	3	NUM
ejpam-5907	182	13	,	,	PUNCT
ejpam-5907	182	14	ζ	ζ	NOUN
ejpam-5907	182	15	)	)	PUNCT
ejpam-5907	182	16	=	=	PUNCT
ejpam-5907	182	17	τ	τ	X
ejpam-5907	182	18	′2	′2	X
ejpam-5907	182	19	in	in	ADP
ejpam-5907	182	20	theorem	theorem	NOUN
ejpam-5907	182	21	(	(	PUNCT
ejpam-5907	182	22	6	6	NUM
ejpam-5907	182	23	)	)	PUNCT
ejpam-5907	182	24	we	we	PRON
ejpam-5907	182	25	obtain	obtain	VERB
ejpam-5907	182	26	the	the	DET
ejpam-5907	182	27	following	follow	VERB
ejpam-5907	182	28	corollary	corollary	NOUN
ejpam-5907	182	29	.	.	PUNCT
ejpam-5907	183	1	e.	e.	PROPN
ejpam-5907	183	2	amini	amini	PROPN
ejpam-5907	183	3	,	,	PUNCT
ejpam-5907	183	4	s.	s.	PROPN
ejpam-5907	183	5	al	al	PROPN
ejpam-5907	183	6	-	-	PUNCT
ejpam-5907	183	7	omari	omari	PROPN
ejpam-5907	183	8	,	,	PUNCT
ejpam-5907	183	9	m.	m.	NOUN
ejpam-5907	183	10	khandaqji	khandaqji	PROPN
ejpam-5907	183	11	/	/	SYM
ejpam-5907	183	12	eur	eur	PROPN
ejpam-5907	183	13	.	.	PUNCT
ejpam-5907	184	1	j.	j.	PROPN
ejpam-5907	184	2	pure	pure	PROPN
ejpam-5907	184	3	appl	appl	PROPN
ejpam-5907	184	4	.	.	PROPN
ejpam-5907	184	5	math	math	PROPN
ejpam-5907	184	6	,	,	PUNCT
ejpam-5907	184	7	18	18	NUM
ejpam-5907	184	8	(	(	PUNCT
ejpam-5907	184	9	2	2	NUM
ejpam-5907	184	10	)	)	PUNCT
ejpam-5907	184	11	(	(	PUNCT
ejpam-5907	184	12	2025	2025	NUM
ejpam-5907	184	13	)	)	PUNCT
ejpam-5907	184	14	,	,	PUNCT
ejpam-5907	184	15	5907	5907	NUM
ejpam-5907	184	16	10	10	NUM
ejpam-5907	184	17	of	of	ADP
ejpam-5907	184	18	22	22	NUM
ejpam-5907	184	19	figure	figure	NOUN
ejpam-5907	184	20	1	1	NUM
ejpam-5907	184	21	:	:	PUNCT
ejpam-5907	184	22	(	(	PUNCT
ejpam-5907	184	23	a)γ2(ζ	a)γ2(ζ	NOUN
ejpam-5907	184	24	)	)	PUNCT
ejpam-5907	184	25	=	=	SYM
ejpam-5907	185	1	ζ	ζ	PROPN
ejpam-5907	185	2	−	−	X
ejpam-5907	185	3	βζ2	βζ2	NOUN
ejpam-5907	185	4	for	for	ADP
ejpam-5907	185	5	β	β	X
ejpam-5907	185	6	=	=	SYM
ejpam-5907	185	7	1	1	NUM
ejpam-5907	185	8	2	2	NUM
ejpam-5907	185	9	,	,	PUNCT
ejpam-5907	185	10	(	(	PUNCT
ejpam-5907	185	11	b)γ′	b)γ′	PROPN
ejpam-5907	185	12	1(ζ	1(ζ	NUM
ejpam-5907	185	13	)	)	PUNCT
ejpam-5907	185	14	=	=	SYM
ejpam-5907	186	1	1−	1−	NUM
ejpam-5907	186	2	2βζ	2βζ	NOUN
ejpam-5907	186	3	for	for	ADP
ejpam-5907	186	4	β	β	X
ejpam-5907	186	5	=	=	SYM
ejpam-5907	186	6	1	1	NUM
ejpam-5907	186	7	2	2	NUM
ejpam-5907	186	8	corollary	corollary	NOUN
ejpam-5907	186	9	1	1	NUM
ejpam-5907	186	10	.	.	PUNCT
ejpam-5907	187	1	let	let	VERB
ejpam-5907	187	2	h(ζ	h(ζ	NOUN
ejpam-5907	187	3	)	)	PUNCT
ejpam-5907	187	4	be	be	AUX
ejpam-5907	187	5	a	a	DET
ejpam-5907	187	6	conformal	conformal	ADJ
ejpam-5907	187	7	mapping	mapping	NOUN
ejpam-5907	187	8	of	of	ADP
ejpam-5907	187	9	∆	∆	PROPN
ejpam-5907	187	10	onto	onto	ADP
ejpam-5907	187	11	∆	∆	PROPN
ejpam-5907	187	12	,	,	PUNCT
ejpam-5907	187	13	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	187	14	)	)	PUNCT
ejpam-5907	187	15	be	be	AUX
ejpam-5907	187	16	given	give	VERB
ejpam-5907	187	17	by	by	ADP
ejpam-5907	187	18	(	(	PUNCT
ejpam-5907	187	19	22	22	NUM
ejpam-5907	187	20	)	)	PUNCT
ejpam-5907	187	21	,	,	PUNCT
ejpam-5907	187	22	ψ′	ψ′	PUNCT
ejpam-5907	187	23	∈	∈	PROPN
ejpam-5907	187	24	ψ′(∆	ψ′(∆	PROPN
ejpam-5907	187	25	,	,	PUNCT
ejpam-5907	187	26	γ2	γ2	PROPN
ejpam-5907	187	27	)	)	PUNCT
ejpam-5907	187	28	,	,	PUNCT
ejpam-5907	187	29	µ	µ	PROPN
ejpam-5907	187	30	∈	∈	PROPN
ejpam-5907	187	31	c	c	X
ejpam-5907	187	32	,	,	PUNCT
ejpam-5907	187	33	(	(	PUNCT
ejpam-5907	187	34	µ	µ	X
ejpam-5907	187	35	̸=	̸=	PROPN
ejpam-5907	187	36	0	0	NUM
ejpam-5907	187	37	,	,	PUNCT
ejpam-5907	187	38	1	1	NUM
ejpam-5907	187	39	)	)	PUNCT
ejpam-5907	187	40	and	and	CCONJ
ejpam-5907	187	41	ψ′	ψ′	PROPN
ejpam-5907	187	42	(	(	PUNCT
ejpam-5907	187	43	σ	σ	PROPN
ejpam-5907	187	44	αq	αq	PROPN
ejpam-5907	187	45	µ	µ	NOUN
ejpam-5907	187	46	βf(ζ	βf(ζ	NUM
ejpam-5907	187	47	)	)	PUNCT
ejpam-5907	187	48	,	,	PUNCT
ejpam-5907	187	49	σ	σ	PROPN
ejpam-5907	187	50	αq	αq	ADP
ejpam-5907	187	51	µ+1	µ+1	PRON
ejpam-5907	187	52	β	β	X
ejpam-5907	187	53	f(ζ	f(ζ	PROPN
ejpam-5907	187	54	)	)	PUNCT
ejpam-5907	187	55	,	,	PUNCT
ejpam-5907	187	56	σαq	σαq	PROPN
ejpam-5907	187	57	µ+2	µ+2	PROPN
ejpam-5907	187	58	β	β	PROPN
ejpam-5907	187	59	f(ζ	f(ζ	PROPN
ejpam-5907	187	60	)	)	PUNCT
ejpam-5907	187	61	,	,	PUNCT
ejpam-5907	187	62	ζ	ζ	NOUN
ejpam-5907	187	63	)	)	PUNCT
ejpam-5907	187	64	is	be	AUX
ejpam-5907	187	65	univalent	univalent	ADJ
ejpam-5907	187	66	in	in	ADP
ejpam-5907	187	67	∆.	∆.	PROPN
ejpam-5907	187	68	if	if	SCONJ
ejpam-5907	187	69	σ	σ	PROPN
ejpam-5907	187	70	αq	αq	ADP
ejpam-5907	187	71	µ+1	µ+1	PRON
ejpam-5907	187	72	β	β	X
ejpam-5907	187	73	f(ζ	f(ζ	NOUN
ejpam-5907	187	74	)	)	PUNCT
ejpam-5907	187	75	≺	≺	NOUN
ejpam-5907	187	76	h(ζ	h(ζ	NOUN
ejpam-5907	187	77	)	)	PUNCT
ejpam-5907	187	78	,	,	PUNCT
ejpam-5907	187	79	then	then	ADV
ejpam-5907	187	80	we	we	PRON
ejpam-5907	187	81	have	have	VERB
ejpam-5907	187	82	∣∣∣σαqµ	∣∣∣σαqµ	PRON
ejpam-5907	187	83	βf(ζ	βf(ζ	NUM
ejpam-5907	187	84	)	)	PUNCT
ejpam-5907	187	85	∣∣∣	∣∣∣	NOUN
ejpam-5907	187	86	≤	≤	NUM
ejpam-5907	187	87	1	1	NUM
ejpam-5907	187	88	+	+	CCONJ
ejpam-5907	187	89	|β1|	|β1|	NOUN
ejpam-5907	187	90	,	,	PUNCT
ejpam-5907	187	91	for	for	ADP
ejpam-5907	187	92	all	all	DET
ejpam-5907	187	93	ζ	ζ	NOUN
ejpam-5907	187	94	in	in	ADP
ejpam-5907	187	95	the	the	DET
ejpam-5907	187	96	disc	disc	NOUN
ejpam-5907	187	97	|ζ|	|ζ|	NOUN
ejpam-5907	187	98	≤	≤	NOUN
ejpam-5907	187	99	1	1	NUM
ejpam-5907	187	100	2(3−	2(3−	NUM
ejpam-5907	187	101	√	√	NUM
ejpam-5907	187	102	5	5	NUM
ejpam-5907	187	103	)	)	PUNCT
ejpam-5907	187	104	and	and	CCONJ
ejpam-5907	187	105	|β1|	|β1|	VERB
ejpam-5907	187	106	<	<	X
ejpam-5907	187	107	1	1	X
ejpam-5907	187	108	.	.	PUNCT
ejpam-5907	188	1	this	this	DET
ejpam-5907	188	2	radius	radius	NOUN
ejpam-5907	188	3	is	be	AUX
ejpam-5907	188	4	best	well	ADV
ejpam-5907	188	5	possible	possible	ADJ
ejpam-5907	188	6	.	.	PUNCT
ejpam-5907	189	1	theorem	theorem	ADJ
ejpam-5907	189	2	7	7	NUM
ejpam-5907	189	3	.	.	PUNCT
ejpam-5907	190	1	let	let	VERB
ejpam-5907	190	2	h(ζ	h(ζ	NOUN
ejpam-5907	190	3	)	)	PUNCT
ejpam-5907	190	4	be	be	AUX
ejpam-5907	190	5	a	a	DET
ejpam-5907	190	6	conformal	conformal	ADJ
ejpam-5907	190	7	mapping	mapping	NOUN
ejpam-5907	190	8	of	of	ADP
ejpam-5907	190	9	∆	∆	PROPN
ejpam-5907	190	10	onto	onto	ADP
ejpam-5907	190	11	∆	∆	PROPN
ejpam-5907	190	12	,	,	PUNCT
ejpam-5907	190	13	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	190	14	)	)	PUNCT
ejpam-5907	190	15	be	be	AUX
ejpam-5907	190	16	given	give	VERB
ejpam-5907	190	17	by	by	ADP
ejpam-5907	190	18	(	(	PUNCT
ejpam-5907	190	19	22	22	NUM
ejpam-5907	190	20	)	)	PUNCT
ejpam-5907	190	21	,	,	PUNCT
ejpam-5907	190	22	ψ′	ψ′	PUNCT
ejpam-5907	190	23	∈	∈	PROPN
ejpam-5907	190	24	ψ′(∆	ψ′(∆	PROPN
ejpam-5907	190	25	,	,	PUNCT
ejpam-5907	190	26	γ2	γ2	PROPN
ejpam-5907	190	27	)	)	PUNCT
ejpam-5907	190	28	,	,	PUNCT
ejpam-5907	190	29	µ	µ	PROPN
ejpam-5907	190	30	∈	∈	PROPN
ejpam-5907	190	31	c	c	X
ejpam-5907	190	32	,	,	PUNCT
ejpam-5907	190	33	(	(	PUNCT
ejpam-5907	190	34	µ	µ	X
ejpam-5907	190	35	̸=	̸=	PROPN
ejpam-5907	190	36	0	0	NUM
ejpam-5907	190	37	,	,	PUNCT
ejpam-5907	190	38	1	1	NUM
ejpam-5907	190	39	)	)	PUNCT
ejpam-5907	190	40	and	and	CCONJ
ejpam-5907	190	41	ψ′	ψ′	PROPN
ejpam-5907	190	42	(	(	PUNCT
ejpam-5907	190	43	σ	σ	PROPN
ejpam-5907	190	44	αq	αq	PROPN
ejpam-5907	190	45	µ	µ	NOUN
ejpam-5907	190	46	βf(ζ	βf(ζ	NUM
ejpam-5907	190	47	)	)	PUNCT
ejpam-5907	190	48	,	,	PUNCT
ejpam-5907	190	49	σ	σ	PROPN
ejpam-5907	190	50	αq	αq	ADP
ejpam-5907	190	51	µ+1	µ+1	PRON
ejpam-5907	190	52	β	β	X
ejpam-5907	190	53	f(ζ	f(ζ	PROPN
ejpam-5907	190	54	)	)	PUNCT
ejpam-5907	190	55	,	,	PUNCT
ejpam-5907	190	56	σαq	σαq	PROPN
ejpam-5907	190	57	µ+2	µ+2	PROPN
ejpam-5907	190	58	β	β	PROPN
ejpam-5907	190	59	f(ζ	f(ζ	PROPN
ejpam-5907	190	60	)	)	PUNCT
ejpam-5907	190	61	,	,	PUNCT
ejpam-5907	190	62	ζ	ζ	NOUN
ejpam-5907	190	63	)	)	PUNCT
ejpam-5907	190	64	is	be	AUX
ejpam-5907	190	65	univalent	univalent	ADJ
ejpam-5907	190	66	in	in	ADP
ejpam-5907	190	67	∆.	∆.	PROPN
ejpam-5907	190	68	if	if	SCONJ
ejpam-5907	190	69	ψ′	ψ′	PROPN
ejpam-5907	190	70	(	(	PUNCT
ejpam-5907	190	71	σ	σ	PROPN
ejpam-5907	190	72	αq	αq	PROPN
ejpam-5907	190	73	µ	µ	NOUN
ejpam-5907	190	74	βf(ζ	βf(ζ	NUM
ejpam-5907	190	75	)	)	PUNCT
ejpam-5907	190	76	,	,	PUNCT
ejpam-5907	190	77	σ	σ	PROPN
ejpam-5907	190	78	αq	αq	ADP
ejpam-5907	190	79	µ+1	µ+1	PRON
ejpam-5907	190	80	β	β	X
ejpam-5907	190	81	f(ζ	f(ζ	PROPN
ejpam-5907	190	82	)	)	PUNCT
ejpam-5907	190	83	,	,	PUNCT
ejpam-5907	190	84	σαq	σαq	PROPN
ejpam-5907	190	85	µ+2	µ+2	PROPN
ejpam-5907	190	86	β	β	PROPN
ejpam-5907	190	87	f(ζ	f(ζ	PROPN
ejpam-5907	190	88	)	)	PUNCT
ejpam-5907	190	89	,	,	PUNCT
ejpam-5907	190	90	ζ	ζ	NOUN
ejpam-5907	190	91	)	)	PUNCT
ejpam-5907	190	92	≺	≺	NOUN
ejpam-5907	190	93	h(ζ	h(ζ	NOUN
ejpam-5907	190	94	)	)	PUNCT
ejpam-5907	190	95	,	,	PUNCT
ejpam-5907	190	96	then	then	ADV
ejpam-5907	190	97	we	we	PRON
ejpam-5907	190	98	have	have	VERB
ejpam-5907	190	99	∣∣∣∣1ζ	∣∣∣∣1ζ	PROPN
ejpam-5907	190	100	[	[	SYM
ejpam-5907	190	101	µσαqµ+1	µσαqµ+1	NOUN
ejpam-5907	190	102	β	β	X
ejpam-5907	190	103	f(ζ)−	f(ζ)−	NOUN
ejpam-5907	190	104	(	(	PUNCT
ejpam-5907	190	105	µ−	µ−	PROPN
ejpam-5907	190	106	1)σαq	1)σαq	NUM
ejpam-5907	190	107	µ	µ	NOUN
ejpam-5907	190	108	βf(ζ	βf(ζ	NUM
ejpam-5907	190	109	)	)	PUNCT
ejpam-5907	190	110	]	]	PUNCT
ejpam-5907	191	1	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5907	191	2	≤	≤	NUM
ejpam-5907	191	3	1	1	NUM
ejpam-5907	191	4	+	+	CCONJ
ejpam-5907	191	5	2|β1|	2|β1|	NUM
ejpam-5907	191	6	,	,	PUNCT
ejpam-5907	191	7	(	(	PUNCT
ejpam-5907	191	8	19	19	NUM
ejpam-5907	191	9	)	)	PUNCT
ejpam-5907	191	10	for	for	ADP
ejpam-5907	191	11	all	all	DET
ejpam-5907	191	12	ζ	ζ	NOUN
ejpam-5907	191	13	in	in	ADP
ejpam-5907	191	14	the	the	DET
ejpam-5907	191	15	disc	disc	NOUN
ejpam-5907	191	16	|ζ|	|ζ|	NOUN
ejpam-5907	191	17	≤	≤	NOUN
ejpam-5907	191	18	1	1	NUM
ejpam-5907	191	19	2(3−	2(3−	NUM
ejpam-5907	191	20	√	√	NUM
ejpam-5907	191	21	8)	8)	NUM
ejpam-5907	191	22	and	and	CCONJ
ejpam-5907	191	23	|β1	|β1	PRON
ejpam-5907	191	24	<	<	X
ejpam-5907	191	25	1	1	X
ejpam-5907	191	26	.	.	PUNCT
ejpam-5907	192	1	this	this	DET
ejpam-5907	192	2	radius	radius	NOUN
ejpam-5907	192	3	is	be	AUX
ejpam-5907	192	4	best	well	ADV
ejpam-5907	192	5	possible	possible	ADJ
ejpam-5907	192	6	.	.	PUNCT
ejpam-5907	193	1	proof	proof	NOUN
ejpam-5907	193	2	.	.	PUNCT
ejpam-5907	194	1	in	in	ADP
ejpam-5907	194	2	view	view	NOUN
ejpam-5907	194	3	of	of	ADP
ejpam-5907	194	4	theorem	theorem	NOUN
ejpam-5907	194	5	2	2	NUM
ejpam-5907	194	6	,	,	PUNCT
ejpam-5907	194	7	we	we	PRON
ejpam-5907	194	8	obtain	obtain	VERB
ejpam-5907	194	9	that	that	SCONJ
ejpam-5907	194	10	σ	σ	PROPN
ejpam-5907	194	11	αq	αq	ADP
ejpam-5907	194	12	µ	µ	X
ejpam-5907	194	13	βf(ζ	βf(ζ	NUM
ejpam-5907	194	14	)	)	PUNCT
ejpam-5907	194	15	≺	≺	NOUN
ejpam-5907	194	16	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	194	17	)	)	PUNCT
ejpam-5907	194	18	.	.	PUNCT
ejpam-5907	195	1	now	now	ADV
ejpam-5907	195	2	,	,	PUNCT
ejpam-5907	195	3	by	by	ADP
ejpam-5907	195	4	applying	apply	VERB
ejpam-5907	195	5	lemma	lemma	PROPN
ejpam-5907	195	6	4	4	NUM
ejpam-5907	195	7	,	,	PUNCT
ejpam-5907	195	8	we	we	PRON
ejpam-5907	195	9	get∣∣∣∣(σαqµ	get∣∣∣∣(σαqµ	VERB
ejpam-5907	195	10	βf(ζ	βf(ζ	NUM
ejpam-5907	195	11	)	)	PUNCT
ejpam-5907	195	12	)	)	PUNCT
ejpam-5907	195	13	′∣∣∣∣	′∣∣∣∣	PROPN
ejpam-5907	195	14	≤	≤	PROPN
ejpam-5907	195	15	|γ′2(ζ)|	|γ′2(ζ)|	NOUN
ejpam-5907	195	16	,	,	PUNCT
ejpam-5907	195	17	(	(	PUNCT
ejpam-5907	195	18	20	20	NUM
ejpam-5907	195	19	)	)	PUNCT
ejpam-5907	195	20	e.	e.	PROPN
ejpam-5907	195	21	amini	amini	PROPN
ejpam-5907	195	22	,	,	PUNCT
ejpam-5907	195	23	s.	s.	PROPN
ejpam-5907	195	24	al	al	PROPN
ejpam-5907	195	25	-	-	PUNCT
ejpam-5907	195	26	omari	omari	PROPN
ejpam-5907	195	27	,	,	PUNCT
ejpam-5907	195	28	m.	m.	NOUN
ejpam-5907	195	29	khandaqji	khandaqji	PROPN
ejpam-5907	195	30	/	/	SYM
ejpam-5907	195	31	eur	eur	PROPN
ejpam-5907	195	32	.	.	PUNCT
ejpam-5907	196	1	j.	j.	PROPN
ejpam-5907	196	2	pure	pure	PROPN
ejpam-5907	196	3	appl	appl	PROPN
ejpam-5907	196	4	.	.	PROPN
ejpam-5907	196	5	math	math	PROPN
ejpam-5907	196	6	,	,	PUNCT
ejpam-5907	196	7	18	18	NUM
ejpam-5907	196	8	(	(	PUNCT
ejpam-5907	196	9	2	2	NUM
ejpam-5907	196	10	)	)	PUNCT
ejpam-5907	196	11	(	(	PUNCT
ejpam-5907	196	12	2025	2025	NUM
ejpam-5907	196	13	)	)	PUNCT
ejpam-5907	196	14	,	,	PUNCT
ejpam-5907	196	15	5907	5907	NUM
ejpam-5907	196	16	11	11	NUM
ejpam-5907	196	17	of	of	ADP
ejpam-5907	196	18	22	22	NUM
ejpam-5907	196	19	for	for	ADP
ejpam-5907	196	20	all	all	DET
ejpam-5907	196	21	ζ	ζ	NOUN
ejpam-5907	196	22	in	in	ADP
ejpam-5907	196	23	the	the	DET
ejpam-5907	196	24	disc	disc	NOUN
ejpam-5907	196	25	|ζ|	|ζ|	NOUN
ejpam-5907	196	26	≤	≤	NOUN
ejpam-5907	196	27	1	1	NUM
ejpam-5907	196	28	2(3−	2(3−	NUM
ejpam-5907	196	29	√	√	PROPN
ejpam-5907	196	30	8)	8)	NUM
ejpam-5907	196	31	.	.	PUNCT
ejpam-5907	197	1	from	from	ADP
ejpam-5907	197	2	the	the	DET
ejpam-5907	197	3	maximum	maximum	ADJ
ejpam-5907	197	4	-	-	PUNCT
ejpam-5907	197	5	modulus	modulus	ADJ
ejpam-5907	197	6	principle	principle	NOUN
ejpam-5907	197	7	,	,	PUNCT
ejpam-5907	197	8	we	we	PRON
ejpam-5907	197	9	have	have	VERB
ejpam-5907	197	10	|γ′2(ζ)|	|γ′2(ζ)|	NOUN
ejpam-5907	197	11	≤	≤	ADV
ejpam-5907	197	12	1	1	NUM
ejpam-5907	197	13	+	+	SYM
ejpam-5907	197	14	2|β1|	2|β1|	NUM
ejpam-5907	197	15	.	.	PUNCT
ejpam-5907	198	1	(	(	PUNCT
ejpam-5907	198	2	21	21	NUM
ejpam-5907	198	3	)	)	PUNCT
ejpam-5907	198	4	from	from	ADP
ejpam-5907	198	5	the	the	DET
ejpam-5907	198	6	inequalities	inequality	NOUN
ejpam-5907	198	7	(	(	PUNCT
ejpam-5907	198	8	7	7	NUM
ejpam-5907	198	9	)	)	PUNCT
ejpam-5907	198	10	,	,	PUNCT
ejpam-5907	198	11	(	(	PUNCT
ejpam-5907	198	12	21	21	NUM
ejpam-5907	198	13	)	)	PUNCT
ejpam-5907	198	14	and	and	CCONJ
ejpam-5907	198	15	(	(	PUNCT
ejpam-5907	198	16	20	20	NUM
ejpam-5907	198	17	)	)	PUNCT
ejpam-5907	198	18	,	,	PUNCT
ejpam-5907	198	19	we	we	PRON
ejpam-5907	198	20	establish	establish	VERB
ejpam-5907	198	21	ineqality	ineqality	NOUN
ejpam-5907	198	22	(	(	PUNCT
ejpam-5907	198	23	35	35	NUM
ejpam-5907	198	24	)	)	PUNCT
ejpam-5907	198	25	.	.	PUNCT
ejpam-5907	199	1	by	by	ADP
ejpam-5907	199	2	using	use	VERB
ejpam-5907	199	3	lemma	lemma	PROPN
ejpam-5907	199	4	4	4	NUM
ejpam-5907	199	5	we	we	PRON
ejpam-5907	199	6	conclude	conclude	VERB
ejpam-5907	199	7	that	that	SCONJ
ejpam-5907	199	8	this	this	DET
ejpam-5907	199	9	radius	radius	NOUN
ejpam-5907	199	10	is	be	AUX
ejpam-5907	199	11	best	well	ADV
ejpam-5907	199	12	possible	possible	ADJ
ejpam-5907	199	13	.	.	PUNCT
ejpam-5907	200	1	hence	hence	ADV
ejpam-5907	200	2	,	,	PUNCT
ejpam-5907	200	3	the	the	DET
ejpam-5907	200	4	proof	proof	NOUN
ejpam-5907	200	5	of	of	ADP
ejpam-5907	200	6	theorem	theorem	ADJ
ejpam-5907	200	7	7	7	NUM
ejpam-5907	200	8	is	be	AUX
ejpam-5907	200	9	completed	complete	VERB
ejpam-5907	200	10	.	.	PUNCT
ejpam-5907	201	1	plots	plot	NOUN
ejpam-5907	201	2	of	of	ADP
ejpam-5907	201	3	the	the	DET
ejpam-5907	201	4	suggested	suggest	VERB
ejpam-5907	201	5	function	function	NOUN
ejpam-5907	201	6	γ′2(ζ	γ′2(ζ	NOUN
ejpam-5907	201	7	)	)	PUNCT
ejpam-5907	201	8	=	=	SYM
ejpam-5907	201	9	1	1	NUM
ejpam-5907	201	10	−	−	NUM
ejpam-5907	201	11	2β1ζ	2β1ζ	NOUN
ejpam-5907	201	12	in	in	ADP
ejpam-5907	201	13	the	the	DET
ejpam-5907	201	14	unit	unit	NOUN
ejpam-5907	201	15	disc	disc	NOUN
ejpam-5907	201	16	∆	∆	PROPN
ejpam-5907	201	17	are	be	AUX
ejpam-5907	201	18	illustrated	illustrate	VERB
ejpam-5907	201	19	in	in	ADP
ejpam-5907	201	20	figure	figure	NOUN
ejpam-5907	201	21	1(b	1(b	NUM
ejpam-5907	201	22	)	)	PUNCT
ejpam-5907	201	23	.	.	PUNCT
ejpam-5907	202	1	the	the	DET
ejpam-5907	202	2	parameter	parameter	NOUN
ejpam-5907	202	3	was	be	AUX
ejpam-5907	202	4	β1	β1	PROPN
ejpam-5907	202	5	=	=	PUNCT
ejpam-5907	202	6	1	1	NUM
ejpam-5907	202	7	2	2	NUM
ejpam-5907	202	8	.	.	PUNCT
ejpam-5907	203	1	similarly	similarly	ADV
ejpam-5907	203	2	,	,	PUNCT
ejpam-5907	203	3	putting	put	VERB
ejpam-5907	203	4	ψ′(τ	ψ′(τ	PART
ejpam-5907	203	5	′1	′1	NOUN
ejpam-5907	203	6	,	,	PUNCT
ejpam-5907	203	7	τ	τ	PROPN
ejpam-5907	203	8	′	′	NUM
ejpam-5907	203	9	2	2	NUM
ejpam-5907	203	10	,	,	PUNCT
ejpam-5907	203	11	τ	τ	PROPN
ejpam-5907	203	12	′	′	NUM
ejpam-5907	203	13	3	3	NUM
ejpam-5907	203	14	,	,	PUNCT
ejpam-5907	203	15	ζ	ζ	NOUN
ejpam-5907	203	16	)	)	PUNCT
ejpam-5907	203	17	=	=	PUNCT
ejpam-5907	203	18	τ	τ	X
ejpam-5907	203	19	′2	′2	X
ejpam-5907	203	20	in	in	ADP
ejpam-5907	203	21	theorem	theorem	NOUN
ejpam-5907	203	22	(	(	PUNCT
ejpam-5907	203	23	6	6	NUM
ejpam-5907	203	24	)	)	PUNCT
ejpam-5907	203	25	leads	lead	VERB
ejpam-5907	203	26	to	to	ADP
ejpam-5907	203	27	the	the	DET
ejpam-5907	203	28	following	follow	VERB
ejpam-5907	203	29	corollary	corollary	NOUN
ejpam-5907	203	30	.	.	PUNCT
ejpam-5907	204	1	corollary	corollary	ADJ
ejpam-5907	204	2	2	2	NUM
ejpam-5907	204	3	.	.	PUNCT
ejpam-5907	205	1	let	let	VERB
ejpam-5907	205	2	h(ζ	h(ζ	NOUN
ejpam-5907	205	3	)	)	PUNCT
ejpam-5907	205	4	be	be	AUX
ejpam-5907	205	5	a	a	DET
ejpam-5907	205	6	conformal	conformal	ADJ
ejpam-5907	205	7	mapping	mapping	NOUN
ejpam-5907	205	8	of	of	ADP
ejpam-5907	205	9	∆	∆	PROPN
ejpam-5907	205	10	onto	onto	ADP
ejpam-5907	205	11	∆	∆	PROPN
ejpam-5907	205	12	,	,	PUNCT
ejpam-5907	205	13	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	205	14	)	)	PUNCT
ejpam-5907	205	15	be	be	AUX
ejpam-5907	205	16	given	give	VERB
ejpam-5907	205	17	by	by	ADP
ejpam-5907	205	18	(	(	PUNCT
ejpam-5907	205	19	22	22	NUM
ejpam-5907	205	20	)	)	PUNCT
ejpam-5907	205	21	,	,	PUNCT
ejpam-5907	205	22	ψ′	ψ′	PUNCT
ejpam-5907	205	23	∈	∈	PROPN
ejpam-5907	205	24	ψ′(∆	ψ′(∆	PROPN
ejpam-5907	205	25	,	,	PUNCT
ejpam-5907	205	26	γ2	γ2	PROPN
ejpam-5907	205	27	)	)	PUNCT
ejpam-5907	205	28	,	,	PUNCT
ejpam-5907	205	29	µ	µ	PROPN
ejpam-5907	205	30	∈	∈	PROPN
ejpam-5907	205	31	c	c	X
ejpam-5907	205	32	,	,	PUNCT
ejpam-5907	205	33	(	(	PUNCT
ejpam-5907	205	34	µ	µ	X
ejpam-5907	205	35	̸=	̸=	PROPN
ejpam-5907	205	36	0	0	NUM
ejpam-5907	205	37	,	,	PUNCT
ejpam-5907	205	38	1	1	NUM
ejpam-5907	205	39	)	)	PUNCT
ejpam-5907	205	40	and	and	CCONJ
ejpam-5907	205	41	ψ′	ψ′	PROPN
ejpam-5907	205	42	(	(	PUNCT
ejpam-5907	205	43	σ	σ	PROPN
ejpam-5907	205	44	αq	αq	PROPN
ejpam-5907	205	45	µ	µ	NOUN
ejpam-5907	205	46	βf(ζ	βf(ζ	NUM
ejpam-5907	205	47	)	)	PUNCT
ejpam-5907	205	48	,	,	PUNCT
ejpam-5907	205	49	σ	σ	PROPN
ejpam-5907	205	50	αq	αq	ADP
ejpam-5907	205	51	µ+1	µ+1	PRON
ejpam-5907	205	52	β	β	X
ejpam-5907	205	53	f(ζ	f(ζ	PROPN
ejpam-5907	205	54	)	)	PUNCT
ejpam-5907	205	55	,	,	PUNCT
ejpam-5907	205	56	σαq	σαq	PROPN
ejpam-5907	205	57	µ+2	µ+2	PROPN
ejpam-5907	205	58	β	β	PROPN
ejpam-5907	205	59	f(ζ	f(ζ	PROPN
ejpam-5907	205	60	)	)	PUNCT
ejpam-5907	205	61	,	,	PUNCT
ejpam-5907	205	62	ζ	ζ	NOUN
ejpam-5907	205	63	)	)	PUNCT
ejpam-5907	205	64	is	be	AUX
ejpam-5907	205	65	univalent	univalent	ADJ
ejpam-5907	205	66	in	in	ADP
ejpam-5907	205	67	∆.	∆.	PROPN
ejpam-5907	205	68	if	if	SCONJ
ejpam-5907	205	69	σ	σ	PROPN
ejpam-5907	205	70	αq	αq	ADP
ejpam-5907	205	71	µ+1	µ+1	PRON
ejpam-5907	205	72	β	β	X
ejpam-5907	205	73	f(ζ	f(ζ	NOUN
ejpam-5907	205	74	)	)	PUNCT
ejpam-5907	205	75	≺	≺	NOUN
ejpam-5907	205	76	h(ζ	h(ζ	NOUN
ejpam-5907	205	77	)	)	PUNCT
ejpam-5907	205	78	,	,	PUNCT
ejpam-5907	205	79	then	then	ADV
ejpam-5907	205	80	we	we	PRON
ejpam-5907	205	81	have	have	VERB
ejpam-5907	205	82	∣∣∣∣1ζ	∣∣∣∣1ζ	PROPN
ejpam-5907	205	83	[	[	SYM
ejpam-5907	205	84	µσαqµ+1	µσαqµ+1	NOUN
ejpam-5907	205	85	β	β	X
ejpam-5907	205	86	f(ζ)−	f(ζ)−	NOUN
ejpam-5907	205	87	(	(	PUNCT
ejpam-5907	205	88	µ−	µ−	PROPN
ejpam-5907	205	89	1)σαq	1)σαq	NUM
ejpam-5907	205	90	µ	µ	NOUN
ejpam-5907	205	91	βf(ζ	βf(ζ	NUM
ejpam-5907	205	92	)	)	PUNCT
ejpam-5907	205	93	]	]	PUNCT
ejpam-5907	206	1	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5907	206	2	≤	≤	NUM
ejpam-5907	206	3	1	1	NUM
ejpam-5907	206	4	+	+	CCONJ
ejpam-5907	206	5	2|β1|	2|β1|	NUM
ejpam-5907	206	6	,	,	PUNCT
ejpam-5907	206	7	for	for	ADP
ejpam-5907	206	8	all	all	DET
ejpam-5907	206	9	ζ	ζ	NOUN
ejpam-5907	206	10	in	in	ADP
ejpam-5907	206	11	the	the	DET
ejpam-5907	206	12	disc	disc	NOUN
ejpam-5907	206	13	|ζ|	|ζ|	NOUN
ejpam-5907	206	14	≤	≤	NOUN
ejpam-5907	206	15	1	1	NUM
ejpam-5907	206	16	2(3−	2(3−	NUM
ejpam-5907	206	17	√	√	NUM
ejpam-5907	206	18	8)	8)	NUM
ejpam-5907	206	19	and	and	CCONJ
ejpam-5907	206	20	|β1	|β1	PRON
ejpam-5907	206	21	<	<	X
ejpam-5907	206	22	1	1	X
ejpam-5907	206	23	.	.	PUNCT
ejpam-5907	207	1	this	this	DET
ejpam-5907	207	2	radius	radius	NOUN
ejpam-5907	207	3	is	be	AUX
ejpam-5907	207	4	best	well	ADV
ejpam-5907	207	5	possible	possible	ADJ
ejpam-5907	207	6	.	.	PUNCT
ejpam-5907	208	1	[	[	X
ejpam-5907	208	2	rgb]1.00,0.00,0.00for	rgb]1.00,0.00,0.00for	ADP
ejpam-5907	208	3	another	another	DET
ejpam-5907	208	4	example	example	NOUN
ejpam-5907	208	5	,	,	PUNCT
ejpam-5907	208	6	we	we	PRON
ejpam-5907	208	7	define	define	VERB
ejpam-5907	208	8	the	the	DET
ejpam-5907	208	9	function	function	NOUN
ejpam-5907	208	10	γ3	γ3	NOUN
ejpam-5907	208	11	:	:	PUNCT
ejpam-5907	208	12	∆	∆	PROPN
ejpam-5907	209	1	−→	−→	NOUN
ejpam-5907	209	2	∆	∆	PROPN
ejpam-5907	209	3	as	as	SCONJ
ejpam-5907	209	4	follow	follow	VERB
ejpam-5907	209	5	γ3(ζ	γ3(ζ	PROPN
ejpam-5907	209	6	)	)	PUNCT
ejpam-5907	209	7	=	=	SYM
ejpam-5907	209	8	−2ζ	−2ζ	NOUN
ejpam-5907	209	9	1	1	NUM
ejpam-5907	209	10	+	+	CCONJ
ejpam-5907	209	11	ζ	ζ	NOUN
ejpam-5907	209	12	.	.	PUNCT
ejpam-5907	210	1	(	(	PUNCT
ejpam-5907	210	2	22	22	NUM
ejpam-5907	210	3	)	)	PUNCT
ejpam-5907	210	4	now	now	ADV
ejpam-5907	210	5	,	,	PUNCT
ejpam-5907	210	6	we	we	PRON
ejpam-5907	210	7	introduce	introduce	VERB
ejpam-5907	210	8	and	and	CCONJ
ejpam-5907	210	9	investigate	investigate	VERB
ejpam-5907	210	10	the	the	DET
ejpam-5907	210	11	class	class	NOUN
ejpam-5907	210	12	of	of	ADP
ejpam-5907	210	13	ψ′(∆	ψ′(∆	PROPN
ejpam-5907	210	14	,	,	PUNCT
ejpam-5907	210	15	γ3	γ3	NOUN
ejpam-5907	210	16	)	)	PUNCT
ejpam-5907	210	17	consisting	consist	VERB
ejpam-5907	210	18	of	of	ADP
ejpam-5907	210	19	admissible	admissible	ADJ
ejpam-5907	210	20	functions	function	NOUN
ejpam-5907	210	21	.	.	PUNCT
ejpam-5907	211	1	definition	definition	NOUN
ejpam-5907	211	2	6	6	NUM
ejpam-5907	211	3	.	.	PUNCT
ejpam-5907	212	1	let	let	VERB
ejpam-5907	212	2	γ3(ζ	γ3(ζ	PRON
ejpam-5907	212	3	)	)	PUNCT
ejpam-5907	212	4	that	that	PRON
ejpam-5907	212	5	is	be	AUX
ejpam-5907	212	6	given	give	VERB
ejpam-5907	212	7	by	by	ADP
ejpam-5907	212	8	(	(	PUNCT
ejpam-5907	212	9	22	22	NUM
ejpam-5907	212	10	)	)	PUNCT
ejpam-5907	212	11	and	and	CCONJ
ejpam-5907	212	12	µ	µ	PRON
ejpam-5907	212	13	∈	∈	ADP
ejpam-5907	212	14	c	c	X
ejpam-5907	212	15	,	,	PUNCT
ejpam-5907	212	16	(	(	PUNCT
ejpam-5907	212	17	µ	µ	X
ejpam-5907	212	18	̸=	̸=	PROPN
ejpam-5907	212	19	0	0	NUM
ejpam-5907	212	20	,	,	PUNCT
ejpam-5907	212	21	1	1	NUM
ejpam-5907	212	22	)	)	PUNCT
ejpam-5907	212	23	.	.	PUNCT
ejpam-5907	213	1	then	then	ADV
ejpam-5907	213	2	,	,	PUNCT
ejpam-5907	213	3	we	we	PRON
ejpam-5907	213	4	define	define	VERB
ejpam-5907	213	5	the	the	DET
ejpam-5907	213	6	class	class	NOUN
ejpam-5907	213	7	of	of	ADP
ejpam-5907	213	8	admissible	admissible	ADJ
ejpam-5907	213	9	functions	function	NOUN
ejpam-5907	213	10	ψ′(∆	ψ′(∆	PROPN
ejpam-5907	213	11	,	,	PUNCT
ejpam-5907	213	12	γ3	γ3	NOUN
ejpam-5907	213	13	)	)	PUNCT
ejpam-5907	213	14	to	to	PART
ejpam-5907	213	15	be	be	AUX
ejpam-5907	213	16	the	the	DET
ejpam-5907	213	17	set	set	NOUN
ejpam-5907	213	18	of	of	ADP
ejpam-5907	213	19	all	all	DET
ejpam-5907	213	20	function	function	NOUN
ejpam-5907	213	21	ψ′	ψ′	PUNCT
ejpam-5907	213	22	:	:	PUNCT
ejpam-5907	214	1	c3	c3	PROPN
ejpam-5907	214	2	×∆	×∆	ADV
ejpam-5907	214	3	−→	−→	ADV
ejpam-5907	214	4	c	c	NOUN
ejpam-5907	214	5	satisfying	satisfy	VERB
ejpam-5907	214	6	the	the	DET
ejpam-5907	214	7	following	follow	VERB
ejpam-5907	214	8	admissibility	admissibility	NOUN
ejpam-5907	214	9	conditions	condition	NOUN
ejpam-5907	214	10	:	:	PUNCT
ejpam-5907	214	11	ψ′(τ11	ψ′(τ11	PUNCT
ejpam-5907	214	12	,	,	PUNCT
ejpam-5907	214	13	τ	τ	PROPN
ejpam-5907	214	14	1	1	NUM
ejpam-5907	214	15	2	2	NUM
ejpam-5907	214	16	,	,	PUNCT
ejpam-5907	214	17	τ	τ	PROPN
ejpam-5907	214	18	1	1	NUM
ejpam-5907	214	19	3	3	NUM
ejpam-5907	214	20	,	,	PUNCT
ejpam-5907	214	21	ζ	ζ	NOUN
ejpam-5907	214	22	)	)	PUNCT
ejpam-5907	214	23	/∈	/∈	PUNCT
ejpam-5907	215	1	∆	∆	PROPN
ejpam-5907	216	1	where	where	SCONJ
ejpam-5907	216	2	τ11	τ11	PROPN
ejpam-5907	216	3	=	=	SYM
ejpam-5907	216	4	γ3(ζ	γ3(ζ	PROPN
ejpam-5907	216	5	)	)	PUNCT
ejpam-5907	216	6	,	,	PUNCT
ejpam-5907	216	7	τ12	τ12	NOUN
ejpam-5907	216	8	=	=	SYM
ejpam-5907	216	9	ζγ′3(ζ	ζγ′3(ζ	NOUN
ejpam-5907	216	10	)	)	PUNCT
ejpam-5907	216	11	(	(	PUNCT
ejpam-5907	216	12	m−	m−	PROPN
ejpam-5907	216	13	(	(	PUNCT
ejpam-5907	216	14	µ−	µ−	PROPN
ejpam-5907	216	15	1)(1	1)(1	NUM
ejpam-5907	216	16	+	+	CCONJ
ejpam-5907	216	17	ζ	ζ	NOUN
ejpam-5907	216	18	)	)	PUNCT
ejpam-5907	216	19	)	)	PUNCT
ejpam-5907	216	20	,	,	PUNCT
ejpam-5907	216	21	τ13	τ13	NOUN
ejpam-5907	216	22	=	=	SYM
ejpam-5907	216	23	ζγ′′3	ζγ′′3	PROPN
ejpam-5907	216	24	(	(	PUNCT
ejpam-5907	216	25	ζ	ζ	NOUN
ejpam-5907	216	26	)	)	PUNCT
ejpam-5907	216	27	[	[	PUNCT
ejpam-5907	216	28	ζ	ζ	NOUN
ejpam-5907	216	29	−	−	NOUN
ejpam-5907	216	30	(	(	PUNCT
ejpam-5907	216	31	2µ−	2µ−	NUM
ejpam-5907	216	32	1)(1	1)(1	NUM
ejpam-5907	216	33	+	+	CCONJ
ejpam-5907	216	34	ζ	ζ	NOUN
ejpam-5907	216	35	)	)	PUNCT
ejpam-5907	216	36	2	2	NUM
ejpam-5907	216	37	−	−	NOUN
ejpam-5907	216	38	(	(	PUNCT
ejpam-5907	216	39	µ−	µ−	PROPN
ejpam-5907	216	40	1)2(1	1)2(1	NUM
ejpam-5907	216	41	+	+	CCONJ
ejpam-5907	216	42	ζ)2	ζ)2	NOUN
ejpam-5907	216	43	2	2	NUM
ejpam-5907	216	44	]	]	PUNCT
ejpam-5907	216	45	.	.	PUNCT
ejpam-5907	217	1	such	such	ADJ
ejpam-5907	217	2	that	that	PRON
ejpam-5907	217	3	re	re	PROPN
ejpam-5907	217	4	(	(	PUNCT
ejpam-5907	217	5	µ2τ13	µ2τ13	PROPN
ejpam-5907	217	6	−	−	PROPN
ejpam-5907	217	7	(	(	PUNCT
ejpam-5907	217	8	µ−	µ−	PROPN
ejpam-5907	217	9	1)τ12	1)τ12	NUM
ejpam-5907	217	10	µτ12	µτ12	PROPN
ejpam-5907	217	11	+	+	CCONJ
ejpam-5907	217	12	(	(	PUNCT
ejpam-5907	217	13	µ−	µ−	PROPN
ejpam-5907	217	14	1)τ11	1)τ11	NUM
ejpam-5907	217	15	−	−	PROPN
ejpam-5907	217	16	µ+	µ+	PUNCT
ejpam-5907	217	17	1	1	NUM
ejpam-5907	217	18	)	)	PUNCT
ejpam-5907	217	19	≥	≥	NOUN
ejpam-5907	217	20	0	0	NUM
ejpam-5907	217	21	where	where	SCONJ
ejpam-5907	217	22	ζ	ζ	ADJ
ejpam-5907	217	23	∈	∈	PROPN
ejpam-5907	217	24	∆	∆	PROPN
ejpam-5907	217	25	,	,	PUNCT
ejpam-5907	217	26	ζ	ζ	PROPN
ejpam-5907	217	27	∈	∈	PROPN
ejpam-5907	217	28	∂∆−	∂∆−	PROPN
ejpam-5907	217	29	e(q	e(q	PROPN
ejpam-5907	217	30	)	)	PUNCT
ejpam-5907	217	31	and	and	CCONJ
ejpam-5907	217	32	m	m	PROPN
ejpam-5907	217	33	≥	≥	NOUN
ejpam-5907	217	34	1	1	NUM
ejpam-5907	217	35	.	.	PUNCT
ejpam-5907	217	36	e.	e.	PROPN
ejpam-5907	217	37	amini	amini	PROPN
ejpam-5907	217	38	,	,	PUNCT
ejpam-5907	217	39	s.	s.	PROPN
ejpam-5907	217	40	al	al	PROPN
ejpam-5907	217	41	-	-	PUNCT
ejpam-5907	217	42	omari	omari	PROPN
ejpam-5907	217	43	,	,	PUNCT
ejpam-5907	217	44	m.	m.	NOUN
ejpam-5907	217	45	khandaqji	khandaqji	PROPN
ejpam-5907	217	46	/	/	SYM
ejpam-5907	217	47	eur	eur	PROPN
ejpam-5907	217	48	.	.	PUNCT
ejpam-5907	218	1	j.	j.	PROPN
ejpam-5907	218	2	pure	pure	PROPN
ejpam-5907	218	3	appl	appl	PROPN
ejpam-5907	218	4	.	.	PROPN
ejpam-5907	218	5	math	math	PROPN
ejpam-5907	218	6	,	,	PUNCT
ejpam-5907	218	7	18	18	NUM
ejpam-5907	218	8	(	(	PUNCT
ejpam-5907	218	9	2	2	NUM
ejpam-5907	218	10	)	)	PUNCT
ejpam-5907	218	11	(	(	PUNCT
ejpam-5907	218	12	2025	2025	NUM
ejpam-5907	218	13	)	)	PUNCT
ejpam-5907	218	14	,	,	PUNCT
ejpam-5907	218	15	5907	5907	NUM
ejpam-5907	218	16	12	12	NUM
ejpam-5907	218	17	of	of	ADP
ejpam-5907	218	18	22	22	NUM
ejpam-5907	218	19	theorem	theorem	NOUN
ejpam-5907	218	20	8	8	NUM
ejpam-5907	218	21	.	.	PUNCT
ejpam-5907	219	1	let	let	VERB
ejpam-5907	219	2	γ3(ζ	γ3(ζ	PRON
ejpam-5907	219	3	)	)	PUNCT
ejpam-5907	219	4	be	be	AUX
ejpam-5907	219	5	given	give	VERB
ejpam-5907	219	6	by	by	ADP
ejpam-5907	219	7	(	(	PUNCT
ejpam-5907	219	8	22	22	NUM
ejpam-5907	219	9	)	)	PUNCT
ejpam-5907	219	10	,	,	PUNCT
ejpam-5907	219	11	ψ′	ψ′	PUNCT
ejpam-5907	219	12	∈	∈	PROPN
ejpam-5907	219	13	ψ′(∆	ψ′(∆	PROPN
ejpam-5907	219	14	,	,	PUNCT
ejpam-5907	219	15	γ3	γ3	NOUN
ejpam-5907	219	16	)	)	PUNCT
ejpam-5907	219	17	and	and	CCONJ
ejpam-5907	219	18	µ	µ	PRON
ejpam-5907	219	19	∈	∈	ADP
ejpam-5907	219	20	c	c	X
ejpam-5907	219	21	,	,	PUNCT
ejpam-5907	219	22	(	(	PUNCT
ejpam-5907	219	23	µ	µ	X
ejpam-5907	219	24	̸=	̸=	PROPN
ejpam-5907	219	25	0	0	NUM
ejpam-5907	219	26	,	,	PUNCT
ejpam-5907	219	27	1	1	NUM
ejpam-5907	219	28	)	)	PUNCT
ejpam-5907	219	29	.	.	PUNCT
ejpam-5907	220	1	if	if	SCONJ
ejpam-5907	220	2	f	f	PROPN
ejpam-5907	220	3	∈	∈	PROPN
ejpam-5907	220	4	a	a	DET
ejpam-5907	220	5	satisfies	satisfie	NOUN
ejpam-5907	220	6	{	{	PUNCT
ejpam-5907	220	7	ψ′	ψ′	PROPN
ejpam-5907	220	8	(	(	PUNCT
ejpam-5907	220	9	σ	σ	PROPN
ejpam-5907	220	10	αq	αq	PROPN
ejpam-5907	220	11	µ	µ	PROPN
ejpam-5907	220	12	βf(v	βf(v	PUNCT
ejpam-5907	220	13	)	)	PUNCT
ejpam-5907	220	14	,	,	PUNCT
ejpam-5907	220	15	σ	σ	PROPN
ejpam-5907	220	16	αq	αq	ADP
ejpam-5907	220	17	µ+1	µ+1	PRON
ejpam-5907	220	18	β	β	X
ejpam-5907	220	19	f(v	f(v	NOUN
ejpam-5907	220	20	)	)	PUNCT
ejpam-5907	220	21	,	,	PUNCT
ejpam-5907	220	22	σαq	σαq	PROPN
ejpam-5907	220	23	µ+2	µ+2	VERB
ejpam-5907	220	24	β	β	NOUN
ejpam-5907	220	25	f(v	f(v	NOUN
ejpam-5907	220	26	)	)	PUNCT
ejpam-5907	220	27	,	,	PUNCT
ejpam-5907	220	28	v	v	NOUN
ejpam-5907	220	29	)	)	PUNCT
ejpam-5907	220	30	,	,	PUNCT
ejpam-5907	220	31	v	v	X
ejpam-5907	220	32	∈	∈	NOUN
ejpam-5907	220	33	∆	∆	X
ejpam-5907	220	34	}	}	PUNCT
ejpam-5907	220	35	⊆	⊆	NUM
ejpam-5907	220	36	∆.	∆.	NOUN
ejpam-5907	220	37	then	then	ADV
ejpam-5907	220	38	,	,	PUNCT
ejpam-5907	220	39	we	we	PRON
ejpam-5907	220	40	have	have	VERB
ejpam-5907	220	41	σ	σ	NUM
ejpam-5907	220	42	αq	αq	ADP
ejpam-5907	220	43	µ	µ	NOUN
ejpam-5907	220	44	βf(ζ	βf(ζ	NUM
ejpam-5907	220	45	)	)	PUNCT
ejpam-5907	220	46	≺	≺	NOUN
ejpam-5907	220	47	−2ζ	−2ζ	PROPN
ejpam-5907	220	48	1	1	NUM
ejpam-5907	220	49	+	+	CCONJ
ejpam-5907	220	50	ζ	ζ	NOUN
ejpam-5907	220	51	.	.	PUNCT
ejpam-5907	221	1	proof	proof	NOUN
ejpam-5907	221	2	.	.	PUNCT
ejpam-5907	222	1	similar	similar	ADJ
ejpam-5907	222	2	to	to	ADP
ejpam-5907	222	3	the	the	DET
ejpam-5907	222	4	proof	proof	NOUN
ejpam-5907	222	5	of	of	ADP
ejpam-5907	222	6	theorem	theorem	NOUN
ejpam-5907	222	7	1	1	NUM
ejpam-5907	222	8	,	,	PUNCT
ejpam-5907	222	9	we	we	PRON
ejpam-5907	222	10	can	can	AUX
ejpam-5907	222	11	proof	proof	NOUN
ejpam-5907	222	12	of	of	ADP
ejpam-5907	222	13	theorem	theorem	ADJ
ejpam-5907	222	14	8	8	NUM
ejpam-5907	222	15	plots	plot	NOUN
ejpam-5907	222	16	of	of	ADP
ejpam-5907	222	17	the	the	DET
ejpam-5907	222	18	suggested	suggest	VERB
ejpam-5907	222	19	function	function	NOUN
ejpam-5907	222	20	γ3(ζ	γ3(ζ	PROPN
ejpam-5907	222	21	)	)	PUNCT
ejpam-5907	222	22	=	=	SYM
ejpam-5907	223	1	−2ζ	−2ζ	PROPN
ejpam-5907	223	2	1+ζ	1+ζ	NUM
ejpam-5907	223	3	in	in	ADP
ejpam-5907	223	4	the	the	DET
ejpam-5907	223	5	unit	unit	NOUN
ejpam-5907	223	6	disc	disc	NOUN
ejpam-5907	223	7	∆	∆	PROPN
ejpam-5907	223	8	are	be	AUX
ejpam-5907	223	9	illustrated	illustrate	VERB
ejpam-5907	223	10	in	in	ADP
ejpam-5907	223	11	figure	figure	NOUN
ejpam-5907	223	12	2	2	NUM
ejpam-5907	223	13	.	.	PUNCT
ejpam-5907	223	14	figure	figure	NOUN
ejpam-5907	223	15	2	2	NUM
ejpam-5907	223	16	:	:	PUNCT
ejpam-5907	223	17	γ3(ζ	γ3(ζ	PROPN
ejpam-5907	223	18	)	)	PUNCT
ejpam-5907	223	19	=	=	PUNCT
ejpam-5907	224	1	−2ζ	−2ζ	PROPN
ejpam-5907	224	2	1+ζ	1+ζ	NUM
ejpam-5907	224	3	4	4	NUM
ejpam-5907	224	4	.	.	PUNCT
ejpam-5907	224	5	two	two	NUM
ejpam-5907	224	6	-	-	PUNCT
ejpam-5907	224	7	order	order	NOUN
ejpam-5907	224	8	superordination	superordination	NOUN
ejpam-5907	224	9	result	result	NOUN
ejpam-5907	224	10	in	in	ADP
ejpam-5907	224	11	this	this	DET
ejpam-5907	224	12	section	section	NOUN
ejpam-5907	224	13	,	,	PUNCT
ejpam-5907	224	14	we	we	PRON
ejpam-5907	224	15	investigate	investigate	VERB
ejpam-5907	224	16	the	the	DET
ejpam-5907	224	17	following	follow	VERB
ejpam-5907	224	18	new	new	ADJ
ejpam-5907	224	19	class	class	NOUN
ejpam-5907	224	20	of	of	ADP
ejpam-5907	224	21	admissible	admissible	ADJ
ejpam-5907	224	22	functions	function	NOUN
ejpam-5907	224	23	which	which	PRON
ejpam-5907	224	24	yield	yield	VERB
ejpam-5907	224	25	a	a	DET
ejpam-5907	224	26	result	result	NOUN
ejpam-5907	224	27	of	of	ADP
ejpam-5907	224	28	two	two	NUM
ejpam-5907	224	29	-	-	PUNCT
ejpam-5907	224	30	order	order	NOUN
ejpam-5907	224	31	differential	differential	ADJ
ejpam-5907	224	32	superordination	superordination	NOUN
ejpam-5907	224	33	for	for	ADP
ejpam-5907	224	34	the	the	DET
ejpam-5907	224	35	operator	operator	NOUN
ejpam-5907	224	36	qµ	qµ	ADP
ejpam-5907	224	37	βf(ζ	βf(ζ	NUM
ejpam-5907	224	38	)	)	PUNCT
ejpam-5907	224	39	.	.	PUNCT
ejpam-5907	225	1	definition	definition	NOUN
ejpam-5907	225	2	7	7	NUM
ejpam-5907	225	3	.	.	PUNCT
ejpam-5907	226	1	let	let	VERB
ejpam-5907	226	2	ω	ω	PRON
ejpam-5907	226	3	be	be	AUX
ejpam-5907	226	4	a	a	DET
ejpam-5907	226	5	subset	subset	NOUN
ejpam-5907	226	6	of	of	ADP
ejpam-5907	226	7	c	c	PROPN
ejpam-5907	226	8	,	,	PUNCT
ejpam-5907	226	9	γ	γ	PROPN
ejpam-5907	226	10	∈	∈	PROPN
ejpam-5907	226	11	h∩a	h∩a	NOUN
ejpam-5907	226	12	and	and	CCONJ
ejpam-5907	226	13	µ	µ	PRON
ejpam-5907	226	14	∈	∈	NOUN
ejpam-5907	226	15	c	c	X
ejpam-5907	226	16	,	,	PUNCT
ejpam-5907	226	17	(	(	PUNCT
ejpam-5907	226	18	µ	µ	X
ejpam-5907	226	19	̸=	̸=	PROPN
ejpam-5907	226	20	0	0	NUM
ejpam-5907	226	21	,	,	PUNCT
ejpam-5907	226	22	1	1	NUM
ejpam-5907	226	23	)	)	PUNCT
ejpam-5907	226	24	.	.	PUNCT
ejpam-5907	227	1	we	we	PRON
ejpam-5907	227	2	define	define	VERB
ejpam-5907	227	3	the	the	DET
ejpam-5907	227	4	set	set	NOUN
ejpam-5907	227	5	φ′(ω	φ′(ω	PROPN
ejpam-5907	227	6	,	,	PUNCT
ejpam-5907	227	7	γ	γ	NOUN
ejpam-5907	227	8	)	)	PUNCT
ejpam-5907	227	9	of	of	ADP
ejpam-5907	227	10	admissible	admissible	ADJ
ejpam-5907	227	11	complex	complex	ADJ
ejpam-5907	227	12	valued	value	VERB
ejpam-5907	227	13	functions	function	NOUN
ejpam-5907	227	14	ϕ′	ϕ′	PUNCT
ejpam-5907	227	15	:	:	PUNCT
ejpam-5907	228	1	c3	c3	PROPN
ejpam-5907	228	2	×∆	×∆	PROPN
ejpam-5907	228	3	→	→	SYM
ejpam-5907	228	4	c	c	NOUN
ejpam-5907	228	5	such	such	ADJ
ejpam-5907	228	6	that	that	SCONJ
ejpam-5907	228	7	the	the	DET
ejpam-5907	228	8	subsequent	subsequent	ADJ
ejpam-5907	228	9	admissibility	admissibility	NOUN
ejpam-5907	228	10	conditions	condition	NOUN
ejpam-5907	228	11	hold	hold	VERB
ejpam-5907	228	12	:	:	PUNCT
ejpam-5907	228	13	ϕ′(τ1	ϕ′(τ1	NOUN
ejpam-5907	228	14	,	,	PUNCT
ejpam-5907	228	15	τ2	τ2	PROPN
ejpam-5907	228	16	,	,	PUNCT
ejpam-5907	228	17	τ3	τ3	NOUN
ejpam-5907	228	18	;	;	PUNCT
ejpam-5907	228	19	ζ	ζ	X
ejpam-5907	228	20	)	)	PUNCT
ejpam-5907	228	21	∈	∈	PROPN
ejpam-5907	228	22	ω	ω	PROPN
ejpam-5907	228	23	,	,	PUNCT
ejpam-5907	228	24	whenever	whenever	SCONJ
ejpam-5907	228	25	τ1	τ1	NOUN
ejpam-5907	228	26	=	=	SYM
ejpam-5907	228	27	γ(ζ̃	γ(ζ̃	PROPN
ejpam-5907	228	28	)	)	PUNCT
ejpam-5907	228	29	,	,	PUNCT
ejpam-5907	228	30	τ2	τ2	NOUN
ejpam-5907	228	31	=	=	SYM
ejpam-5907	228	32	ζ̃γ′(ζ̃)/m1	ζ̃γ′(ζ̃)/m1	PROPN
ejpam-5907	228	33	+	+	NUM
ejpam-5907	228	34	µγ(ζ̃	µγ(ζ̃	NOUN
ejpam-5907	228	35	)	)	PUNCT
ejpam-5907	228	36	µ−	µ−	PROPN
ejpam-5907	228	37	1	1	NUM
ejpam-5907	228	38	,	,	PUNCT
ejpam-5907	228	39	e.	e.	PROPN
ejpam-5907	228	40	amini	amini	PROPN
ejpam-5907	228	41	,	,	PUNCT
ejpam-5907	228	42	s.	s.	PROPN
ejpam-5907	228	43	al	al	PROPN
ejpam-5907	228	44	-	-	PUNCT
ejpam-5907	228	45	omari	omari	PROPN
ejpam-5907	228	46	,	,	PUNCT
ejpam-5907	228	47	m.	m.	NOUN
ejpam-5907	228	48	khandaqji	khandaqji	PROPN
ejpam-5907	228	49	/	/	SYM
ejpam-5907	228	50	eur	eur	PROPN
ejpam-5907	228	51	.	.	PUNCT
ejpam-5907	229	1	j.	j.	PROPN
ejpam-5907	229	2	pure	pure	PROPN
ejpam-5907	229	3	appl	appl	PROPN
ejpam-5907	229	4	.	.	PROPN
ejpam-5907	229	5	math	math	PROPN
ejpam-5907	229	6	,	,	PUNCT
ejpam-5907	229	7	18	18	NUM
ejpam-5907	229	8	(	(	PUNCT
ejpam-5907	229	9	2	2	NUM
ejpam-5907	229	10	)	)	PUNCT
ejpam-5907	229	11	(	(	PUNCT
ejpam-5907	229	12	2025	2025	NUM
ejpam-5907	229	13	)	)	PUNCT
ejpam-5907	229	14	,	,	PUNCT
ejpam-5907	229	15	5907	5907	NUM
ejpam-5907	229	16	13	13	NUM
ejpam-5907	229	17	of	of	ADP
ejpam-5907	229	18	22	22	NUM
ejpam-5907	229	19	and	and	CCONJ
ejpam-5907	229	20	re	re	ADP
ejpam-5907	229	21	(	(	PUNCT
ejpam-5907	229	22	µ2τ3	µ2τ3	VERB
ejpam-5907	229	23	−	−	PROPN
ejpam-5907	229	24	(	(	PUNCT
ejpam-5907	229	25	µ−	µ−	PROPN
ejpam-5907	229	26	1)τ2	1)τ2	NUM
ejpam-5907	229	27	µτ2	µτ2	VERB
ejpam-5907	229	28	+	+	CCONJ
ejpam-5907	229	29	(	(	PUNCT
ejpam-5907	229	30	µ−	µ−	PROPN
ejpam-5907	229	31	1)τ1	1)τ1	NUM
ejpam-5907	229	32	−	−	PROPN
ejpam-5907	229	33	µ+	µ+	PUNCT
ejpam-5907	229	34	1	1	NUM
ejpam-5907	229	35	)	)	PUNCT
ejpam-5907	229	36	≥	≥	NOUN
ejpam-5907	229	37	1	1	NUM
ejpam-5907	229	38	m1	m1	PROPN
ejpam-5907	229	39	re	re	X
ejpam-5907	229	40	(	(	PUNCT
ejpam-5907	229	41	ζ̃γ′′(ζ̃	ζ̃γ′′(ζ̃	NOUN
ejpam-5907	229	42	)	)	PUNCT
ejpam-5907	229	43	γ′(ζ̃	γ′(ζ̃	NOUN
ejpam-5907	229	44	)	)	PUNCT
ejpam-5907	230	1	+	+	CCONJ
ejpam-5907	230	2	1	1	X
ejpam-5907	230	3	)	)	PUNCT
ejpam-5907	230	4	,	,	PUNCT
ejpam-5907	230	5	where	where	SCONJ
ejpam-5907	230	6	ζ	ζ	X
ejpam-5907	230	7	∈	∈	PROPN
ejpam-5907	230	8	∆	∆	NOUN
ejpam-5907	230	9	,	,	PUNCT
ejpam-5907	230	10	ζ̃	ζ̃	PROPN
ejpam-5907	230	11	∈	∈	PROPN
ejpam-5907	230	12	∂∆−	∂∆−	PROPN
ejpam-5907	230	13	e(γ	e(γ	PROPN
ejpam-5907	230	14	)	)	PUNCT
ejpam-5907	230	15	and	and	CCONJ
ejpam-5907	230	16	m1	m1	PROPN
ejpam-5907	230	17	≥	≥	NUM
ejpam-5907	230	18	1	1	NUM
ejpam-5907	230	19	.	.	PUNCT
ejpam-5907	230	20	theorem	theorem	NOUN
ejpam-5907	230	21	9	9	NUM
ejpam-5907	230	22	.	.	PUNCT
ejpam-5907	231	1	let	let	VERB
ejpam-5907	231	2	ω	ω	PRON
ejpam-5907	231	3	be	be	AUX
ejpam-5907	231	4	a	a	DET
ejpam-5907	231	5	subset	subset	NOUN
ejpam-5907	231	6	of	of	ADP
ejpam-5907	231	7	c	c	PROPN
ejpam-5907	231	8	and	and	CCONJ
ejpam-5907	231	9	ϕ′	ϕ′	ADJ
ejpam-5907	231	10	∈	∈	PROPN
ejpam-5907	232	1	φ′(ω	φ′(ω	ADP
ejpam-5907	232	2	,	,	PUNCT
ejpam-5907	232	3	γ	γ	NOUN
ejpam-5907	232	4	)	)	PUNCT
ejpam-5907	232	5	.	.	PUNCT
ejpam-5907	233	1	if	if	SCONJ
ejpam-5907	233	2	f	f	PROPN
ejpam-5907	233	3	∈	∈	PROPN
ejpam-5907	233	4	a	a	DET
ejpam-5907	233	5	satisfies	satisfie	NOUN
ejpam-5907	233	6	ω	ω	NUM
ejpam-5907	233	7	⊆	⊆	NUM
ejpam-5907	233	8	{	{	PUNCT
ejpam-5907	233	9	ϕ′	ϕ′	PROPN
ejpam-5907	233	10	(	(	PUNCT
ejpam-5907	233	11	σ	σ	PROPN
ejpam-5907	233	12	αq	αq	PROPN
ejpam-5907	233	13	µ	µ	NOUN
ejpam-5907	233	14	βf(ζ	βf(ζ	NUM
ejpam-5907	233	15	)	)	PUNCT
ejpam-5907	233	16	,	,	PUNCT
ejpam-5907	233	17	σ	σ	PROPN
ejpam-5907	233	18	αq	αq	ADP
ejpam-5907	233	19	µ+1	µ+1	PRON
ejpam-5907	233	20	β	β	X
ejpam-5907	233	21	f(ζ	f(ζ	PROPN
ejpam-5907	233	22	)	)	PUNCT
ejpam-5907	233	23	,	,	PUNCT
ejpam-5907	233	24	σαq	σαq	PROPN
ejpam-5907	233	25	µ+2	µ+2	PROPN
ejpam-5907	233	26	β	β	PROPN
ejpam-5907	233	27	f(ζ	f(ζ	PROPN
ejpam-5907	233	28	)	)	PUNCT
ejpam-5907	233	29	,	,	PUNCT
ejpam-5907	233	30	ζ	ζ	NOUN
ejpam-5907	233	31	)	)	PUNCT
ejpam-5907	233	32	,	,	PUNCT
ejpam-5907	233	33	ζ	ζ	PROPN
ejpam-5907	233	34	∈	∈	NOUN
ejpam-5907	233	35	∆	∆	X
ejpam-5907	233	36	}	}	PUNCT
ejpam-5907	233	37	,	,	PUNCT
ejpam-5907	233	38	then	then	ADV
ejpam-5907	233	39	we	we	PRON
ejpam-5907	233	40	have	have	VERB
ejpam-5907	233	41	γ(ζ	γ(ζ	NOUN
ejpam-5907	233	42	)	)	PUNCT
ejpam-5907	233	43	≺	≺	NOUN
ejpam-5907	233	44	σ	σ	PROPN
ejpam-5907	233	45	αq	αq	ADP
ejpam-5907	233	46	µ	µ	NOUN
ejpam-5907	233	47	βf(ζ	βf(ζ	NUM
ejpam-5907	233	48	)	)	PUNCT
ejpam-5907	233	49	.	.	PUNCT
ejpam-5907	234	1	(	(	PUNCT
ejpam-5907	234	2	23	23	X
ejpam-5907	234	3	)	)	PUNCT
ejpam-5907	234	4	proof	proof	NOUN
ejpam-5907	234	5	.	.	PUNCT
ejpam-5907	235	1	assume	assume	VERB
ejpam-5907	235	2	that	that	SCONJ
ejpam-5907	235	3	p(ζ	p(ζ	PROPN
ejpam-5907	235	4	)	)	PUNCT
ejpam-5907	235	5	=	=	SYM
ejpam-5907	236	1	σ	σ	PROPN
ejpam-5907	236	2	αq	αq	PROPN
ejpam-5907	236	3	µ	µ	NOUN
ejpam-5907	236	4	βf(ζ	βf(ζ	NUM
ejpam-5907	236	5	)	)	PUNCT
ejpam-5907	236	6	.	.	PUNCT
ejpam-5907	237	1	(	(	PUNCT
ejpam-5907	237	2	24	24	NUM
ejpam-5907	237	3	)	)	PUNCT
ejpam-5907	237	4	similar	similar	ADJ
ejpam-5907	237	5	to	to	ADP
ejpam-5907	237	6	the	the	DET
ejpam-5907	237	7	proof	proof	NOUN
ejpam-5907	237	8	of	of	ADP
ejpam-5907	237	9	theorem	theorem	NOUN
ejpam-5907	237	10	1	1	NUM
ejpam-5907	237	11	,	,	PUNCT
ejpam-5907	237	12	we	we	PRON
ejpam-5907	237	13	can	can	AUX
ejpam-5907	237	14	obtain	obtain	VERB
ejpam-5907	237	15	the	the	DET
ejpam-5907	237	16	transformation	transformation	NOUN
ejpam-5907	237	17	h1	h1	NOUN
ejpam-5907	237	18	:	:	PUNCT
ejpam-5907	237	19	c3	c3	PROPN
ejpam-5907	238	1	×∆	×∆	PROPN
ejpam-5907	238	2	→	→	SYM
ejpam-5907	238	3	c	c	PROPN
ejpam-5907	238	4	as	as	SCONJ
ejpam-5907	238	5	follows	follow	VERB
ejpam-5907	238	6	h1(p(ζ	h1(p(ζ	NOUN
ejpam-5907	238	7	)	)	PUNCT
ejpam-5907	238	8	,	,	PUNCT
ejpam-5907	238	9	ζp	ζp	DET
ejpam-5907	238	10	′(ζ	′(ζ	NOUN
ejpam-5907	238	11	)	)	PUNCT
ejpam-5907	238	12	,	,	PUNCT
ejpam-5907	238	13	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	238	14	)	)	PUNCT
ejpam-5907	238	15	;	;	PUNCT
ejpam-5907	238	16	ζ	ζ	X
ejpam-5907	238	17	)	)	PUNCT
ejpam-5907	238	18	=	=	SYM
ejpam-5907	238	19	ϕ′	ϕ′	PROPN
ejpam-5907	238	20	(	(	PUNCT
ejpam-5907	238	21	σ	σ	PROPN
ejpam-5907	238	22	αq	αq	PROPN
ejpam-5907	238	23	µ	µ	NOUN
ejpam-5907	238	24	βf(ζ	βf(ζ	NUM
ejpam-5907	238	25	)	)	PUNCT
ejpam-5907	238	26	,	,	PUNCT
ejpam-5907	238	27	σ	σ	PROPN
ejpam-5907	238	28	αq	αq	ADP
ejpam-5907	238	29	µ+1	µ+1	PRON
ejpam-5907	238	30	β	β	X
ejpam-5907	238	31	f(ζ	f(ζ	PROPN
ejpam-5907	238	32	)	)	PUNCT
ejpam-5907	238	33	,	,	PUNCT
ejpam-5907	238	34	σαq	σαq	PROPN
ejpam-5907	238	35	µ+2	µ+2	PROPN
ejpam-5907	238	36	β	β	PROPN
ejpam-5907	238	37	f(ζ	f(ζ	PROPN
ejpam-5907	238	38	)	)	PUNCT
ejpam-5907	238	39	,	,	PUNCT
ejpam-5907	238	40	ζ	ζ	NOUN
ejpam-5907	238	41	)	)	PUNCT
ejpam-5907	238	42	.	.	PUNCT
ejpam-5907	239	1	(	(	PUNCT
ejpam-5907	239	2	25	25	NUM
ejpam-5907	239	3	)	)	PUNCT
ejpam-5907	239	4	from	from	ADP
ejpam-5907	239	5	equations	equation	NOUN
ejpam-5907	239	6	(	(	PUNCT
ejpam-5907	239	7	23	23	NUM
ejpam-5907	239	8	)	)	PUNCT
ejpam-5907	239	9	and	and	CCONJ
ejpam-5907	239	10	(	(	PUNCT
ejpam-5907	239	11	25	25	NUM
ejpam-5907	239	12	)	)	PUNCT
ejpam-5907	239	13	,	,	PUNCT
ejpam-5907	239	14	we	we	PRON
ejpam-5907	239	15	obtain	obtain	VERB
ejpam-5907	239	16	ω	ω	NUM
ejpam-5907	239	17	⊆	⊆	NUM
ejpam-5907	239	18	{	{	PUNCT
ejpam-5907	239	19	h1(p(ζ	h1(p(ζ	NUM
ejpam-5907	239	20	)	)	PUNCT
ejpam-5907	239	21	,	,	PUNCT
ejpam-5907	239	22	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	239	23	)	)	PUNCT
ejpam-5907	239	24	,	,	PUNCT
ejpam-5907	239	25	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	239	26	)	)	PUNCT
ejpam-5907	239	27	;	;	PUNCT
ejpam-5907	239	28	ζ	ζ	X
ejpam-5907	239	29	)	)	PUNCT
ejpam-5907	239	30	}	}	PUNCT
ejpam-5907	239	31	.	.	PUNCT
ejpam-5907	240	1	because	because	SCONJ
ejpam-5907	240	2	of	of	ADP
ejpam-5907	240	3	(	(	PUNCT
ejpam-5907	240	4	25	25	NUM
ejpam-5907	240	5	)	)	PUNCT
ejpam-5907	240	6	,	,	PUNCT
ejpam-5907	240	7	we	we	PRON
ejpam-5907	240	8	conclude	conclude	VERB
ejpam-5907	240	9	that	that	SCONJ
ejpam-5907	240	10	the	the	DET
ejpam-5907	240	11	admissibility	admissibility	NOUN
ejpam-5907	240	12	condition	condition	NOUN
ejpam-5907	240	13	ϕ′	ϕ′	X
ejpam-5907	240	14	∈	∈	PROPN
ejpam-5907	240	15	φ′(ω	φ′(ω	PROPN
ejpam-5907	240	16	,	,	PUNCT
ejpam-5907	240	17	γ	γ	NOUN
ejpam-5907	240	18	)	)	PUNCT
ejpam-5907	240	19	and	and	CCONJ
ejpam-5907	240	20	the	the	DET
ejpam-5907	240	21	admissibility	admissibility	NOUN
ejpam-5907	240	22	condition	condition	NOUN
ejpam-5907	240	23	for	for	ADP
ejpam-5907	240	24	ϕ	ϕ	NOUN
ejpam-5907	240	25	in	in	ADP
ejpam-5907	240	26	definition	definition	NOUN
ejpam-5907	240	27	3	3	NUM
ejpam-5907	240	28	is	be	AUX
ejpam-5907	240	29	equivalent	equivalent	ADJ
ejpam-5907	240	30	.	.	PUNCT
ejpam-5907	241	1	thus	thus	ADV
ejpam-5907	241	2	,	,	PUNCT
ejpam-5907	241	3	by	by	ADP
ejpam-5907	241	4	using	use	VERB
ejpam-5907	241	5	lemma	lemma	PROPN
ejpam-5907	241	6	2	2	NUM
ejpam-5907	241	7	,	,	PUNCT
ejpam-5907	241	8	we	we	PRON
ejpam-5907	241	9	conclude	conclude	VERB
ejpam-5907	241	10	that	that	SCONJ
ejpam-5907	241	11	γ(ζ	γ(ζ	NOUN
ejpam-5907	241	12	)	)	PUNCT
ejpam-5907	241	13	≺	≺	NOUN
ejpam-5907	241	14	p(ζ	p(ζ	PROPN
ejpam-5907	241	15	)	)	PUNCT
ejpam-5907	241	16	.	.	PUNCT
ejpam-5907	242	1	(	(	PUNCT
ejpam-5907	242	2	26	26	NUM
ejpam-5907	242	3	)	)	PUNCT
ejpam-5907	242	4	hence	hence	ADV
ejpam-5907	242	5	,	,	PUNCT
ejpam-5907	242	6	the	the	DET
ejpam-5907	242	7	differential	differential	ADJ
ejpam-5907	242	8	subordination	subordination	NOUN
ejpam-5907	242	9	(	(	PUNCT
ejpam-5907	242	10	26	26	NUM
ejpam-5907	242	11	)	)	PUNCT
ejpam-5907	242	12	is	be	AUX
ejpam-5907	242	13	equivalent	equivalent	ADJ
ejpam-5907	242	14	to	to	ADP
ejpam-5907	242	15	(	(	PUNCT
ejpam-5907	242	16	23	23	NUM
ejpam-5907	242	17	)	)	PUNCT
ejpam-5907	242	18	.	.	PUNCT
ejpam-5907	243	1	this	this	PRON
ejpam-5907	243	2	completes	complete	VERB
ejpam-5907	243	3	the	the	DET
ejpam-5907	243	4	proof	proof	NOUN
ejpam-5907	243	5	of	of	ADP
ejpam-5907	243	6	theorem	theorem	NOUN
ejpam-5907	243	7	9	9	NUM
ejpam-5907	243	8	.	.	PUNCT
ejpam-5907	244	1	the	the	DET
ejpam-5907	244	2	result	result	NOUN
ejpam-5907	244	3	can	can	AUX
ejpam-5907	244	4	be	be	AUX
ejpam-5907	244	5	extended	extend	VERB
ejpam-5907	244	6	to	to	ADP
ejpam-5907	244	7	the	the	DET
ejpam-5907	244	8	case	case	NOUN
ejpam-5907	244	9	ω	ω	NOUN
ejpam-5907	244	10	=	=	SYM
ejpam-5907	244	11	h(∆	h(∆	PROPN
ejpam-5907	244	12	)	)	PUNCT
ejpam-5907	244	13	in	in	ADP
ejpam-5907	244	14	which	which	PRON
ejpam-5907	244	15	the	the	DET
ejpam-5907	244	16	complex	complex	ADV
ejpam-5907	244	17	-	-	PUNCT
ejpam-5907	244	18	valued	value	VERB
ejpam-5907	244	19	function	function	NOUN
ejpam-5907	244	20	h(z	h(z	NOUN
ejpam-5907	244	21	)	)	PUNCT
ejpam-5907	244	22	is	be	AUX
ejpam-5907	244	23	a	a	DET
ejpam-5907	244	24	conformal	conformal	ADJ
ejpam-5907	244	25	mapping	mapping	NOUN
ejpam-5907	244	26	of	of	ADP
ejpam-5907	244	27	∆	∆	PROPN
ejpam-5907	244	28	onto	onto	ADP
ejpam-5907	244	29	ω	ω	PROPN
ejpam-5907	244	30	.	.	PUNCT
ejpam-5907	245	1	in	in	ADP
ejpam-5907	245	2	this	this	DET
ejpam-5907	245	3	function	function	NOUN
ejpam-5907	245	4	,	,	PUNCT
ejpam-5907	245	5	we	we	PRON
ejpam-5907	245	6	write	write	VERB
ejpam-5907	245	7	φ′(ω	φ′(ω	ADP
ejpam-5907	245	8	,	,	PUNCT
ejpam-5907	245	9	γ	γ	NOUN
ejpam-5907	245	10	)	)	PUNCT
ejpam-5907	245	11	=	=	SYM
ejpam-5907	245	12	φ′(h	φ′(h	X
ejpam-5907	245	13	,	,	PUNCT
ejpam-5907	245	14	γ	γ	NOUN
ejpam-5907	245	15	)	)	PUNCT
ejpam-5907	245	16	.	.	PUNCT
ejpam-5907	246	1	theorem	theorem	ADJ
ejpam-5907	246	2	10	10	NUM
ejpam-5907	246	3	.	.	PUNCT
ejpam-5907	247	1	let	let	VERB
ejpam-5907	247	2	ϕ′	ϕ′	X
ejpam-5907	247	3	∈	∈	PROPN
ejpam-5907	247	4	φ′(h	φ′(h	X
ejpam-5907	247	5	,	,	PUNCT
ejpam-5907	247	6	γ	γ	NOUN
ejpam-5907	247	7	)	)	PUNCT
ejpam-5907	247	8	.	.	PUNCT
ejpam-5907	248	1	if	if	SCONJ
ejpam-5907	248	2	ϕ′	ϕ′	PROPN
ejpam-5907	248	3	(	(	PUNCT
ejpam-5907	248	4	σ	σ	PROPN
ejpam-5907	248	5	αq	αq	PROPN
ejpam-5907	248	6	µ	µ	NOUN
ejpam-5907	248	7	βf(ζ	βf(ζ	NUM
ejpam-5907	248	8	)	)	PUNCT
ejpam-5907	248	9	,	,	PUNCT
ejpam-5907	248	10	σ	σ	PROPN
ejpam-5907	248	11	αq	αq	ADP
ejpam-5907	248	12	µ+1	µ+1	PRON
ejpam-5907	248	13	β	β	X
ejpam-5907	248	14	f(ζ	f(ζ	PROPN
ejpam-5907	248	15	)	)	PUNCT
ejpam-5907	248	16	,	,	PUNCT
ejpam-5907	248	17	σαq	σαq	PROPN
ejpam-5907	248	18	µ+2	µ+2	PROPN
ejpam-5907	248	19	β	β	PROPN
ejpam-5907	248	20	f(ζ	f(ζ	PROPN
ejpam-5907	248	21	)	)	PUNCT
ejpam-5907	248	22	,	,	PUNCT
ejpam-5907	248	23	ζ	ζ	NOUN
ejpam-5907	248	24	)	)	PUNCT
ejpam-5907	248	25	is	be	AUX
ejpam-5907	248	26	univalent	univalent	ADJ
ejpam-5907	248	27	in	in	ADP
ejpam-5907	248	28	∆	∆	PROPN
ejpam-5907	248	29	and	and	CCONJ
ejpam-5907	248	30	h(ζ	h(ζ	PROPN
ejpam-5907	248	31	)	)	PUNCT
ejpam-5907	248	32	≺	≺	NOUN
ejpam-5907	248	33	ϕ′	ϕ′	PROPN
ejpam-5907	249	1	(	(	PUNCT
ejpam-5907	249	2	σ	σ	PROPN
ejpam-5907	249	3	αq	αq	PROPN
ejpam-5907	249	4	µ	µ	NOUN
ejpam-5907	249	5	βf(ζ	βf(ζ	NUM
ejpam-5907	249	6	)	)	PUNCT
ejpam-5907	249	7	,	,	PUNCT
ejpam-5907	249	8	σ	σ	PROPN
ejpam-5907	249	9	αq	αq	ADP
ejpam-5907	249	10	µ+1	µ+1	PRON
ejpam-5907	249	11	β	β	X
ejpam-5907	249	12	f(ζ	f(ζ	PROPN
ejpam-5907	249	13	)	)	PUNCT
ejpam-5907	249	14	,	,	PUNCT
ejpam-5907	249	15	σαq	σαq	PROPN
ejpam-5907	249	16	µ+2	µ+2	PROPN
ejpam-5907	249	17	β	β	PROPN
ejpam-5907	249	18	f(ζ	f(ζ	PROPN
ejpam-5907	249	19	)	)	PUNCT
ejpam-5907	249	20	,	,	PUNCT
ejpam-5907	249	21	ζ	ζ	NOUN
ejpam-5907	249	22	)	)	PUNCT
ejpam-5907	249	23	,	,	PUNCT
ejpam-5907	249	24	then	then	ADV
ejpam-5907	249	25	we	we	PRON
ejpam-5907	249	26	have	have	VERB
ejpam-5907	249	27	γ(ζ	γ(ζ	NOUN
ejpam-5907	249	28	)	)	PUNCT
ejpam-5907	249	29	≺	≺	NOUN
ejpam-5907	249	30	σ	σ	PROPN
ejpam-5907	249	31	αq	αq	ADP
ejpam-5907	249	32	µ	µ	NOUN
ejpam-5907	249	33	βf(ζ	βf(ζ	NUM
ejpam-5907	249	34	)	)	PUNCT
ejpam-5907	249	35	.	.	PUNCT
ejpam-5907	250	1	e.	e.	PROPN
ejpam-5907	250	2	amini	amini	PROPN
ejpam-5907	250	3	,	,	PUNCT
ejpam-5907	250	4	s.	s.	PROPN
ejpam-5907	250	5	al	al	PROPN
ejpam-5907	250	6	-	-	PUNCT
ejpam-5907	250	7	omari	omari	PROPN
ejpam-5907	250	8	,	,	PUNCT
ejpam-5907	250	9	m.	m.	NOUN
ejpam-5907	250	10	khandaqji	khandaqji	PROPN
ejpam-5907	250	11	/	/	SYM
ejpam-5907	250	12	eur	eur	PROPN
ejpam-5907	250	13	.	.	PUNCT
ejpam-5907	251	1	j.	j.	PROPN
ejpam-5907	251	2	pure	pure	PROPN
ejpam-5907	251	3	appl	appl	PROPN
ejpam-5907	251	4	.	.	PROPN
ejpam-5907	251	5	math	math	PROPN
ejpam-5907	251	6	,	,	PUNCT
ejpam-5907	251	7	18	18	NUM
ejpam-5907	251	8	(	(	PUNCT
ejpam-5907	251	9	2	2	NUM
ejpam-5907	251	10	)	)	PUNCT
ejpam-5907	251	11	(	(	PUNCT
ejpam-5907	251	12	2025	2025	NUM
ejpam-5907	251	13	)	)	PUNCT
ejpam-5907	251	14	,	,	PUNCT
ejpam-5907	251	15	5907	5907	NUM
ejpam-5907	251	16	14	14	NUM
ejpam-5907	251	17	of	of	ADP
ejpam-5907	251	18	22	22	NUM
ejpam-5907	251	19	proof	proof	NOUN
ejpam-5907	251	20	.	.	PUNCT
ejpam-5907	252	1	similar	similar	ADJ
ejpam-5907	252	2	to	to	ADP
ejpam-5907	252	3	the	the	DET
ejpam-5907	252	4	proof	proof	NOUN
ejpam-5907	252	5	of	of	ADP
ejpam-5907	252	6	theorem	theorem	NOUN
ejpam-5907	252	7	2	2	NUM
ejpam-5907	252	8	,	,	PUNCT
ejpam-5907	252	9	we	we	PRON
ejpam-5907	252	10	can	can	AUX
ejpam-5907	252	11	prove	prove	VERB
ejpam-5907	252	12	theorem	theorem	ADJ
ejpam-5907	252	13	10	10	NUM
ejpam-5907	252	14	.	.	PUNCT
ejpam-5907	253	1	theorem	theorem	VERB
ejpam-5907	253	2	11	11	NUM
ejpam-5907	253	3	.	.	PUNCT
ejpam-5907	254	1	let	let	VERB
ejpam-5907	254	2	0	0	NUM
ejpam-5907	254	3	<	<	X
ejpam-5907	254	4	ρ	ρ	X
ejpam-5907	254	5	<	<	X
ejpam-5907	254	6	1	1	NUM
ejpam-5907	254	7	and	and	CCONJ
ejpam-5907	254	8	h(ζ	h(ζ	NOUN
ejpam-5907	254	9	)	)	PUNCT
ejpam-5907	254	10	,	,	PUNCT
ejpam-5907	254	11	γ(ζ	γ(ζ	PROPN
ejpam-5907	254	12	)	)	PUNCT
ejpam-5907	254	13	∈	∈	PROPN
ejpam-5907	254	14	s	s	AUX
ejpam-5907	254	15	satisfy	satisfy	NOUN
ejpam-5907	254	16	the	the	DET
ejpam-5907	254	17	conditions	condition	NOUN
ejpam-5907	254	18	γρ(ζ	γρ(ζ	PUNCT
ejpam-5907	254	19	)	)	PUNCT
ejpam-5907	254	20	=	=	SYM
ejpam-5907	254	21	γ(ρζ	γ(ρζ	X
ejpam-5907	254	22	)	)	PUNCT
ejpam-5907	254	23	and	and	CCONJ
ejpam-5907	254	24	hρ(ζ	hρ(ζ	PUNCT
ejpam-5907	254	25	)	)	PUNCT
ejpam-5907	254	26	=	=	SYM
ejpam-5907	254	27	h(ρζ	h(ρζ	PROPN
ejpam-5907	254	28	)	)	PUNCT
ejpam-5907	254	29	.	.	PUNCT
ejpam-5907	255	1	let	let	VERB
ejpam-5907	255	2	ϕ′	ϕ′	PROPN
ejpam-5907	255	3	:	:	PUNCT
ejpam-5907	256	1	c3	c3	PROPN
ejpam-5907	256	2	×∆	×∆	ADV
ejpam-5907	256	3	−→	−→	ADV
ejpam-5907	256	4	c	c	AUX
ejpam-5907	256	5	satisfy	satisfy	VERB
ejpam-5907	256	6	one	one	NUM
ejpam-5907	256	7	of	of	ADP
ejpam-5907	256	8	the	the	DET
ejpam-5907	256	9	following	following	ADJ
ejpam-5907	256	10	conditions	condition	NOUN
ejpam-5907	256	11	:	:	PUNCT
ejpam-5907	256	12	(	(	PUNCT
ejpam-5907	256	13	i	i	NOUN
ejpam-5907	256	14	)	)	PUNCT
ejpam-5907	256	15	ϕ′	ϕ′	X
ejpam-5907	257	1	∈	∈	PROPN
ejpam-5907	257	2	φ′(h	φ′(h	X
ejpam-5907	257	3	,	,	PUNCT
ejpam-5907	257	4	γρ	γρ	NOUN
ejpam-5907	257	5	)	)	PUNCT
ejpam-5907	257	6	,	,	PUNCT
ejpam-5907	257	7	(	(	PUNCT
ejpam-5907	257	8	ii	ii	NOUN
ejpam-5907	257	9	)	)	PUNCT
ejpam-5907	257	10	there	there	PRON
ejpam-5907	257	11	exist	exist	VERB
ejpam-5907	257	12	ρ0	ρ0	PROPN
ejpam-5907	257	13	∈	∈	PROPN
ejpam-5907	257	14	(	(	PUNCT
ejpam-5907	257	15	0	0	NUM
ejpam-5907	257	16	,	,	PUNCT
ejpam-5907	257	17	1	1	NUM
ejpam-5907	257	18	)	)	PUNCT
ejpam-5907	258	1	such	such	ADJ
ejpam-5907	258	2	that	that	SCONJ
ejpam-5907	258	3	ϕ′	ϕ′	PUNCT
ejpam-5907	259	1	∈	∈	PROPN
ejpam-5907	259	2	φ′(hρ	φ′(hρ	PROPN
ejpam-5907	259	3	,	,	PUNCT
ejpam-5907	259	4	γρ	γρ	NOUN
ejpam-5907	259	5	)	)	PUNCT
ejpam-5907	259	6	,	,	PUNCT
ejpam-5907	259	7	for	for	ADP
ejpam-5907	259	8	all	all	DET
ejpam-5907	259	9	ρ	ρ	NUM
ejpam-5907	259	10	∈	∈	NOUN
ejpam-5907	259	11	(	(	PUNCT
ejpam-5907	259	12	ρ0	ρ0	PROPN
ejpam-5907	259	13	,	,	PUNCT
ejpam-5907	259	14	1	1	NUM
ejpam-5907	259	15	)	)	PUNCT
ejpam-5907	259	16	.	.	PUNCT
ejpam-5907	260	1	if	if	SCONJ
ejpam-5907	260	2	ϕ′	ϕ′	PUNCT
ejpam-5907	260	3	∈	∈	PROPN
ejpam-5907	260	4	φ′(h	φ′(h	X
ejpam-5907	260	5	,	,	PUNCT
ejpam-5907	260	6	γ	γ	NOUN
ejpam-5907	260	7	)	)	PUNCT
ejpam-5907	260	8	,	,	PUNCT
ejpam-5907	260	9	ϕ′	ϕ′	PUNCT
ejpam-5907	261	1	(	(	PUNCT
ejpam-5907	261	2	σ	σ	PROPN
ejpam-5907	261	3	αq	αq	PROPN
ejpam-5907	261	4	µ	µ	NOUN
ejpam-5907	261	5	βf(ζ	βf(ζ	NUM
ejpam-5907	261	6	)	)	PUNCT
ejpam-5907	261	7	,	,	PUNCT
ejpam-5907	261	8	σ	σ	PROPN
ejpam-5907	261	9	αq	αq	ADP
ejpam-5907	261	10	µ+1	µ+1	PRON
ejpam-5907	261	11	β	β	X
ejpam-5907	261	12	f(ζ	f(ζ	PROPN
ejpam-5907	261	13	)	)	PUNCT
ejpam-5907	261	14	,	,	PUNCT
ejpam-5907	261	15	σαq	σαq	PROPN
ejpam-5907	261	16	µ+2	µ+2	PROPN
ejpam-5907	261	17	β	β	PROPN
ejpam-5907	261	18	f(ζ	f(ζ	PROPN
ejpam-5907	261	19	)	)	PUNCT
ejpam-5907	261	20	,	,	PUNCT
ejpam-5907	261	21	ζ	ζ	NOUN
ejpam-5907	261	22	)	)	PUNCT
ejpam-5907	261	23	is	be	AUX
ejpam-5907	261	24	analytic	analytic	ADJ
ejpam-5907	261	25	in	in	ADP
ejpam-5907	261	26	∆	∆	PROPN
ejpam-5907	261	27	and	and	CCONJ
ejpam-5907	261	28	h(ζ	h(ζ	PROPN
ejpam-5907	261	29	)	)	PUNCT
ejpam-5907	261	30	≺	≺	NOUN
ejpam-5907	261	31	ϕ′	ϕ′	PROPN
ejpam-5907	262	1	(	(	PUNCT
ejpam-5907	262	2	σ	σ	PROPN
ejpam-5907	262	3	αq	αq	PROPN
ejpam-5907	262	4	µ	µ	NOUN
ejpam-5907	262	5	βf(ζ	βf(ζ	NUM
ejpam-5907	262	6	)	)	PUNCT
ejpam-5907	262	7	,	,	PUNCT
ejpam-5907	262	8	σ	σ	PROPN
ejpam-5907	262	9	αq	αq	ADP
ejpam-5907	262	10	µ+1	µ+1	PRON
ejpam-5907	262	11	β	β	X
ejpam-5907	262	12	f(ζ	f(ζ	PROPN
ejpam-5907	262	13	)	)	PUNCT
ejpam-5907	262	14	,	,	PUNCT
ejpam-5907	262	15	σαq	σαq	PROPN
ejpam-5907	262	16	µ+2	µ+2	PROPN
ejpam-5907	262	17	β	β	PROPN
ejpam-5907	262	18	f(ζ	f(ζ	PROPN
ejpam-5907	262	19	)	)	PUNCT
ejpam-5907	262	20	,	,	PUNCT
ejpam-5907	262	21	ζ	ζ	NOUN
ejpam-5907	262	22	)	)	PUNCT
ejpam-5907	262	23	.	.	PUNCT
ejpam-5907	263	1	then	then	ADV
ejpam-5907	263	2	,	,	PUNCT
ejpam-5907	263	3	we	we	PRON
ejpam-5907	263	4	have	have	VERB
ejpam-5907	263	5	γ(ζ	γ(ζ	NOUN
ejpam-5907	263	6	)	)	PUNCT
ejpam-5907	263	7	≺	≺	NOUN
ejpam-5907	263	8	σ	σ	PROPN
ejpam-5907	263	9	αq	αq	ADP
ejpam-5907	263	10	µ	µ	NOUN
ejpam-5907	263	11	βf(ζ	βf(ζ	NUM
ejpam-5907	263	12	)	)	PUNCT
ejpam-5907	263	13	.	.	PUNCT
ejpam-5907	264	1	proof	proof	NOUN
ejpam-5907	264	2	.	.	PUNCT
ejpam-5907	265	1	similar	similar	ADJ
ejpam-5907	265	2	to	to	ADP
ejpam-5907	265	3	the	the	DET
ejpam-5907	265	4	proof	proof	NOUN
ejpam-5907	265	5	of	of	ADP
ejpam-5907	265	6	theorem	theorem	NOUN
ejpam-5907	265	7	3	3	NUM
ejpam-5907	265	8	,	,	PUNCT
ejpam-5907	265	9	we	we	PRON
ejpam-5907	265	10	can	can	AUX
ejpam-5907	265	11	prove	prove	VERB
ejpam-5907	265	12	theorem	theorem	ADJ
ejpam-5907	265	13	11	11	NUM
ejpam-5907	265	14	.	.	PUNCT
ejpam-5907	266	1	theorem	theorem	NOUN
ejpam-5907	266	2	12	12	NUM
ejpam-5907	266	3	.	.	PUNCT
ejpam-5907	267	1	let	let	VERB
ejpam-5907	267	2	k	k	PROPN
ejpam-5907	267	3	∈	∈	PROPN
ejpam-5907	267	4	{	{	PUNCT
ejpam-5907	267	5	2	2	NUM
ejpam-5907	267	6	,	,	PUNCT
ejpam-5907	267	7	3	3	NUM
ejpam-5907	267	8	,	,	PUNCT
ejpam-5907	267	9	4	4	NUM
ejpam-5907	267	10	,	,	PUNCT
ejpam-5907	267	11	...	...	PUNCT
ejpam-5907	267	12	}	}	PUNCT
ejpam-5907	267	13	,	,	PUNCT
ejpam-5907	267	14	0	0	NUM
ejpam-5907	267	15	<	<	X
ejpam-5907	267	16	ρ	ρ	X
ejpam-5907	267	17	<	<	X
ejpam-5907	267	18	1	1	NUM
ejpam-5907	267	19	,	,	PUNCT
ejpam-5907	267	20	h	h	NOUN
ejpam-5907	267	21	∈	∈	PROPN
ejpam-5907	267	22	s	s	X
ejpam-5907	267	23	and	and	CCONJ
ejpam-5907	267	24	ϕ′	ϕ′	NUM
ejpam-5907	267	25	:	:	PUNCT
ejpam-5907	267	26	c3×∆	c3×∆	PUNCT
ejpam-5907	267	27	−→	−→	PROPN
ejpam-5907	267	28	c.	c.	PROPN
ejpam-5907	267	29	suppose	suppose	VERB
ejpam-5907	267	30	that	that	SCONJ
ejpam-5907	267	31	the	the	DET
ejpam-5907	267	32	differential	differential	ADJ
ejpam-5907	267	33	equation	equation	NOUN
ejpam-5907	267	34	ϕ′	ϕ′	PROPN
ejpam-5907	267	35	(	(	PUNCT
ejpam-5907	267	36	σ	σ	PROPN
ejpam-5907	267	37	αq	αq	PROPN
ejpam-5907	267	38	µ	µ	NOUN
ejpam-5907	267	39	βf(ζ	βf(ζ	NUM
ejpam-5907	267	40	)	)	PUNCT
ejpam-5907	267	41	,	,	PUNCT
ejpam-5907	267	42	kζ	kζ	VERB
ejpam-5907	267	43	k−1σ	k−1σ	PROPN
ejpam-5907	267	44	αq	αq	ADP
ejpam-5907	267	45	µ+1	µ+1	PROPN
ejpam-5907	267	46	β	β	X
ejpam-5907	267	47	f(ζ	f(ζ	PROPN
ejpam-5907	267	48	)	)	PUNCT
ejpam-5907	267	49	,	,	PUNCT
ejpam-5907	267	50	k2ζ2(k−1)σ	k2ζ2(k−1)σ	PROPN
ejpam-5907	267	51	αq	αq	PROPN
ejpam-5907	267	52	µ+2	µ+2	PROPN
ejpam-5907	267	53	β	β	PROPN
ejpam-5907	267	54	f(ζ	f(ζ	PROPN
ejpam-5907	267	55	)	)	PUNCT
ejpam-5907	267	56	;	;	PUNCT
ejpam-5907	267	57	ζ	ζ	X
ejpam-5907	267	58	)	)	PUNCT
ejpam-5907	267	59	=	=	SYM
ejpam-5907	267	60	h(ζ	h(ζ	NOUN
ejpam-5907	267	61	)	)	PUNCT
ejpam-5907	267	62	,	,	PUNCT
ejpam-5907	267	63	(	(	PUNCT
ejpam-5907	267	64	27	27	NUM
ejpam-5907	267	65	)	)	PUNCT
ejpam-5907	267	66	has	have	VERB
ejpam-5907	267	67	a	a	DET
ejpam-5907	267	68	solution	solution	NOUN
ejpam-5907	267	69	γ(ζ	γ(ζ	NOUN
ejpam-5907	267	70	)	)	PUNCT
ejpam-5907	267	71	with	with	ADP
ejpam-5907	267	72	γ(0	γ(0	PROPN
ejpam-5907	267	73	)	)	PUNCT
ejpam-5907	267	74	=	=	SYM
ejpam-5907	267	75	0	0	NUM
ejpam-5907	267	76	and	and	CCONJ
ejpam-5907	267	77	one	one	NUM
ejpam-5907	267	78	of	of	ADP
ejpam-5907	267	79	the	the	DET
ejpam-5907	267	80	following	follow	VERB
ejpam-5907	267	81	conditions	condition	NOUN
ejpam-5907	267	82	is	be	AUX
ejpam-5907	267	83	satisfied	satisfied	ADJ
ejpam-5907	267	84	:	:	PUNCT
ejpam-5907	267	85	(	(	PUNCT
ejpam-5907	267	86	i	i	NOUN
ejpam-5907	267	87	)	)	PUNCT
ejpam-5907	267	88	γ	γ	PROPN
ejpam-5907	267	89	∈	∈	PROPN
ejpam-5907	267	90	h	h	NOUN
ejpam-5907	267	91	and	and	CCONJ
ejpam-5907	268	1	ϕ′	ϕ′	ADJ
ejpam-5907	268	2	∈	∈	PROPN
ejpam-5907	268	3	φ′(h	φ′(h	X
ejpam-5907	268	4	,	,	PUNCT
ejpam-5907	268	5	γ	γ	NOUN
ejpam-5907	268	6	)	)	PUNCT
ejpam-5907	268	7	,	,	PUNCT
ejpam-5907	268	8	(	(	PUNCT
ejpam-5907	268	9	ii	ii	NOUN
ejpam-5907	268	10	)	)	PUNCT
ejpam-5907	268	11	γ	γ	PROPN
ejpam-5907	268	12	∈	∈	PROPN
ejpam-5907	268	13	s	s	PART
ejpam-5907	268	14	and	and	CCONJ
ejpam-5907	268	15	ϕ′	ϕ′	ADJ
ejpam-5907	268	16	∈	∈	PROPN
ejpam-5907	268	17	φ′(h	φ′(h	X
ejpam-5907	268	18	,	,	PUNCT
ejpam-5907	268	19	γρ	γρ	NOUN
ejpam-5907	268	20	)	)	PUNCT
ejpam-5907	268	21	,	,	PUNCT
ejpam-5907	268	22	or	or	CCONJ
ejpam-5907	268	23	(	(	PUNCT
ejpam-5907	268	24	iii	iii	X
ejpam-5907	268	25	)	)	PUNCT
ejpam-5907	268	26	γ	γ	PROPN
ejpam-5907	268	27	∈	∈	NOUN
ejpam-5907	268	28	s	s	PART
ejpam-5907	268	29	and	and	CCONJ
ejpam-5907	268	30	there	there	PRON
ejpam-5907	268	31	exists	exist	VERB
ejpam-5907	268	32	ρ0	ρ0	PROPN
ejpam-5907	268	33	∈	∈	PROPN
ejpam-5907	268	34	(	(	PUNCT
ejpam-5907	268	35	0	0	NUM
ejpam-5907	268	36	,	,	PUNCT
ejpam-5907	268	37	1	1	NUM
ejpam-5907	268	38	)	)	PUNCT
ejpam-5907	269	1	such	such	ADJ
ejpam-5907	269	2	that	that	SCONJ
ejpam-5907	269	3	ϕ′	ϕ′	PUNCT
ejpam-5907	269	4	∈	∈	PROPN
ejpam-5907	269	5	φ′(hρ	φ′(hρ	PROPN
ejpam-5907	269	6	,	,	PUNCT
ejpam-5907	269	7	γρ	γρ	NOUN
ejpam-5907	269	8	)	)	PUNCT
ejpam-5907	269	9	for	for	ADP
ejpam-5907	269	10	all	all	DET
ejpam-5907	269	11	ρ	ρ	NUM
ejpam-5907	269	12	∈	∈	PROPN
ejpam-5907	269	13	(	(	PUNCT
ejpam-5907	269	14	0	0	NUM
ejpam-5907	269	15	,	,	PUNCT
ejpam-5907	269	16	1	1	NUM
ejpam-5907	269	17	)	)	PUNCT
ejpam-5907	269	18	.	.	PUNCT
ejpam-5907	270	1	if	if	SCONJ
ejpam-5907	270	2	p(ζ	p(ζ	PROPN
ejpam-5907	270	3	)	)	PUNCT
ejpam-5907	270	4	=	=	PUNCT
ejpam-5907	270	5	τ	τ	PROPN
ejpam-5907	270	6	αq	αq	PROPN
ejpam-5907	270	7	µ	µ	X
ejpam-5907	270	8	βf(ζ	βf(ζ	X
ejpam-5907	270	9	k	k	NOUN
ejpam-5907	270	10	)	)	PUNCT
ejpam-5907	270	11	,	,	PUNCT
ejpam-5907	270	12	and	and	CCONJ
ejpam-5907	270	13	ϕ′(p(ζ	ϕ′(p(ζ	PROPN
ejpam-5907	270	14	)	)	PUNCT
ejpam-5907	270	15	,	,	PUNCT
ejpam-5907	270	16	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	270	17	)	)	PUNCT
ejpam-5907	270	18	,	,	PUNCT
ejpam-5907	270	19	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	270	20	)	)	PUNCT
ejpam-5907	270	21	;	;	PUNCT
ejpam-5907	270	22	ζ	ζ	X
ejpam-5907	270	23	)	)	PUNCT
ejpam-5907	270	24	∈	∈	NOUN
ejpam-5907	270	25	a	a	DET
ejpam-5907	270	26	such	such	ADJ
ejpam-5907	270	27	that	that	DET
ejpam-5907	270	28	h(ζ	h(ζ	NOUN
ejpam-5907	270	29	)	)	PUNCT
ejpam-5907	270	30	≺	≺	NOUN
ejpam-5907	270	31	ϕ′(p(ζ	ϕ′(p(ζ	NOUN
ejpam-5907	270	32	)	)	PUNCT
ejpam-5907	270	33	,	,	PUNCT
ejpam-5907	270	34	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	270	35	)	)	PUNCT
ejpam-5907	270	36	,	,	PUNCT
ejpam-5907	270	37	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	270	38	)	)	PUNCT
ejpam-5907	270	39	;	;	PUNCT
ejpam-5907	270	40	ζ	ζ	X
ejpam-5907	270	41	)	)	PUNCT
ejpam-5907	270	42	,	,	PUNCT
ejpam-5907	270	43	(	(	PUNCT
ejpam-5907	270	44	28	28	NUM
ejpam-5907	270	45	)	)	PUNCT
ejpam-5907	270	46	then	then	ADV
ejpam-5907	270	47	γ(ζ	γ(ζ	NOUN
ejpam-5907	270	48	)	)	PUNCT
ejpam-5907	270	49	≺	≺	NOUN
ejpam-5907	270	50	p(ζ	p(ζ	PROPN
ejpam-5907	270	51	)	)	PUNCT
ejpam-5907	270	52	and	and	CCONJ
ejpam-5907	270	53	γ	γ	X
ejpam-5907	270	54	is	be	AUX
ejpam-5907	270	55	the	the	DET
ejpam-5907	270	56	best	good	ADJ
ejpam-5907	270	57	dominant	dominant	NOUN
ejpam-5907	270	58	.	.	PUNCT
ejpam-5907	271	1	e.	e.	PROPN
ejpam-5907	271	2	amini	amini	PROPN
ejpam-5907	271	3	,	,	PUNCT
ejpam-5907	271	4	s.	s.	PROPN
ejpam-5907	271	5	al	al	PROPN
ejpam-5907	271	6	-	-	PUNCT
ejpam-5907	271	7	omari	omari	PROPN
ejpam-5907	271	8	,	,	PUNCT
ejpam-5907	271	9	m.	m.	NOUN
ejpam-5907	271	10	khandaqji	khandaqji	PROPN
ejpam-5907	271	11	/	/	SYM
ejpam-5907	271	12	eur	eur	PROPN
ejpam-5907	271	13	.	.	PUNCT
ejpam-5907	272	1	j.	j.	PROPN
ejpam-5907	272	2	pure	pure	PROPN
ejpam-5907	272	3	appl	appl	PROPN
ejpam-5907	272	4	.	.	PROPN
ejpam-5907	272	5	math	math	PROPN
ejpam-5907	272	6	,	,	PUNCT
ejpam-5907	272	7	18	18	NUM
ejpam-5907	272	8	(	(	PUNCT
ejpam-5907	272	9	2	2	NUM
ejpam-5907	272	10	)	)	PUNCT
ejpam-5907	272	11	(	(	PUNCT
ejpam-5907	272	12	2025	2025	NUM
ejpam-5907	272	13	)	)	PUNCT
ejpam-5907	272	14	,	,	PUNCT
ejpam-5907	272	15	5907	5907	NUM
ejpam-5907	272	16	15	15	NUM
ejpam-5907	272	17	of	of	ADP
ejpam-5907	272	18	22	22	NUM
ejpam-5907	272	19	proof	proof	NOUN
ejpam-5907	272	20	.	.	PUNCT
ejpam-5907	273	1	in	in	ADP
ejpam-5907	273	2	view	view	NOUN
ejpam-5907	273	3	of	of	ADP
ejpam-5907	273	4	the	the	DET
ejpam-5907	273	5	theorems	theorem	NOUN
ejpam-5907	273	6	10	10	NUM
ejpam-5907	273	7	and	and	CCONJ
ejpam-5907	273	8	11	11	NUM
ejpam-5907	273	9	,	,	PUNCT
ejpam-5907	273	10	we	we	PRON
ejpam-5907	273	11	deduce	deduce	VERB
ejpam-5907	273	12	that	that	SCONJ
ejpam-5907	273	13	γ(ζ	γ(ζ	NOUN
ejpam-5907	273	14	)	)	PUNCT
ejpam-5907	273	15	is	be	AUX
ejpam-5907	273	16	a	a	DET
ejpam-5907	273	17	dominant	dominant	ADJ
ejpam-5907	273	18	(	(	PUNCT
ejpam-5907	273	19	28	28	NUM
ejpam-5907	273	20	)	)	PUNCT
ejpam-5907	273	21	.	.	PUNCT
ejpam-5907	274	1	by	by	ADP
ejpam-5907	274	2	following	follow	VERB
ejpam-5907	274	3	similar	similar	ADJ
ejpam-5907	274	4	proof	proof	NOUN
ejpam-5907	274	5	to	to	ADP
ejpam-5907	274	6	the	the	DET
ejpam-5907	274	7	proof	proof	NOUN
ejpam-5907	274	8	of	of	ADP
ejpam-5907	274	9	theorem	theorem	NOUN
ejpam-5907	274	10	(	(	PUNCT
ejpam-5907	274	11	9	9	NUM
ejpam-5907	274	12	)	)	PUNCT
ejpam-5907	274	13	and	and	CCONJ
ejpam-5907	274	14	using	use	VERB
ejpam-5907	274	15	the	the	DET
ejpam-5907	274	16	assertions	assertion	NOUN
ejpam-5907	274	17	(	(	PUNCT
ejpam-5907	274	18	15	15	NUM
ejpam-5907	274	19	)	)	PUNCT
ejpam-5907	274	20	and	and	CCONJ
ejpam-5907	274	21	(	(	PUNCT
ejpam-5907	274	22	16	16	NUM
ejpam-5907	274	23	)	)	PUNCT
ejpam-5907	274	24	,	,	PUNCT
ejpam-5907	274	25	we	we	PRON
ejpam-5907	274	26	define	define	VERB
ejpam-5907	274	27	the	the	DET
ejpam-5907	274	28	transformation	transformation	NOUN
ejpam-5907	274	29	h1	h1	NOUN
ejpam-5907	274	30	:	:	PUNCT
ejpam-5907	274	31	c×∆	c×∆	NOUN
ejpam-5907	274	32	→	→	SYM
ejpam-5907	274	33	c	c	PROPN
ejpam-5907	274	34	as	as	SCONJ
ejpam-5907	274	35	follows	follow	VERB
ejpam-5907	274	36	h1	h1	NOUN
ejpam-5907	274	37	(	(	PUNCT
ejpam-5907	274	38	p(ζ	p(ζ	PROPN
ejpam-5907	274	39	)	)	PUNCT
ejpam-5907	274	40	,	,	PUNCT
ejpam-5907	274	41	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	274	42	)	)	PUNCT
ejpam-5907	274	43	,	,	PUNCT
ejpam-5907	274	44	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	274	45	)	)	PUNCT
ejpam-5907	274	46	;	;	PUNCT
ejpam-5907	274	47	ζ	ζ	X
ejpam-5907	274	48	)	)	PUNCT
ejpam-5907	274	49	=	=	SYM
ejpam-5907	274	50	ϕ′	ϕ′	PROPN
ejpam-5907	275	1	(	(	PUNCT
ejpam-5907	275	2	σ	σ	PROPN
ejpam-5907	275	3	αq	αq	PROPN
ejpam-5907	275	4	µ	µ	X
ejpam-5907	275	5	βf(ζ	βf(ζ	X
ejpam-5907	275	6	k	k	NOUN
ejpam-5907	275	7	)	)	PUNCT
ejpam-5907	275	8	,	,	PUNCT
ejpam-5907	275	9	kζk−1σ	kζk−1σ	PROPN
ejpam-5907	275	10	αq	αq	ADP
ejpam-5907	275	11	µ+1	µ+1	PROPN
ejpam-5907	275	12	β	β	X
ejpam-5907	275	13	f(ζk	f(ζk	NOUN
ejpam-5907	275	14	)	)	PUNCT
ejpam-5907	275	15	,	,	PUNCT
ejpam-5907	275	16	k2ζ2(k−1)σ	k2ζ2(k−1)σ	PROPN
ejpam-5907	275	17	αq	αq	PROPN
ejpam-5907	275	18	µ+2	µ+2	PROPN
ejpam-5907	275	19	β	β	X
ejpam-5907	275	20	f(ζk	f(ζk	PROPN
ejpam-5907	275	21	)	)	PUNCT
ejpam-5907	275	22	;	;	PUNCT
ejpam-5907	275	23	ζ	ζ	NOUN
ejpam-5907	275	24	)	)	PUNCT
ejpam-5907	275	25	.	.	PUNCT
ejpam-5907	276	1	therefore	therefore	ADV
ejpam-5907	276	2	from	from	ADP
ejpam-5907	276	3	(	(	PUNCT
ejpam-5907	276	4	27	27	NUM
ejpam-5907	276	5	)	)	PUNCT
ejpam-5907	276	6	,	,	PUNCT
ejpam-5907	276	7	we	we	PRON
ejpam-5907	276	8	obtain	obtain	VERB
ejpam-5907	276	9	that	that	DET
ejpam-5907	276	10	γ(ζ	γ(ζ	NOUN
ejpam-5907	276	11	)	)	PUNCT
ejpam-5907	276	12	≺	≺	NOUN
ejpam-5907	276	13	γ(ζk	γ(ζk	NOUN
ejpam-5907	276	14	)	)	PUNCT
ejpam-5907	277	1	=	=	VERB
ejpam-5907	277	2	h1	h1	ADJ
ejpam-5907	277	3	(	(	PUNCT
ejpam-5907	277	4	p(ζ	p(ζ	PROPN
ejpam-5907	277	5	)	)	PUNCT
ejpam-5907	277	6	,	,	PUNCT
ejpam-5907	277	7	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	277	8	)	)	PUNCT
ejpam-5907	277	9	,	,	PUNCT
ejpam-5907	277	10	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	277	11	)	)	PUNCT
ejpam-5907	277	12	;	;	PUNCT
ejpam-5907	277	13	ζ	ζ	NOUN
ejpam-5907	277	14	)	)	PUNCT
ejpam-5907	277	15	.	.	PUNCT
ejpam-5907	278	1	since	since	SCONJ
ejpam-5907	278	2	p(∆	p(∆	NUM
ejpam-5907	278	3	)	)	PUNCT
ejpam-5907	278	4	=	=	SYM
ejpam-5907	278	5	γ(∆	γ(∆	NUM
ejpam-5907	278	6	)	)	PUNCT
ejpam-5907	278	7	,	,	PUNCT
ejpam-5907	278	8	we	we	PRON
ejpam-5907	278	9	conclude	conclude	VERB
ejpam-5907	278	10	that	that	SCONJ
ejpam-5907	278	11	γ(ζ	γ(ζ	PROPN
ejpam-5907	278	12	)	)	PUNCT
ejpam-5907	278	13	is	be	AUX
ejpam-5907	278	14	the	the	DET
ejpam-5907	278	15	best	good	ADJ
ejpam-5907	278	16	dominant	dominant	NOUN
ejpam-5907	278	17	.	.	PUNCT
ejpam-5907	279	1	this	this	PRON
ejpam-5907	279	2	completes	complete	VERB
ejpam-5907	279	3	the	the	DET
ejpam-5907	279	4	proof	proof	NOUN
ejpam-5907	279	5	of	of	ADP
ejpam-5907	279	6	theorem	theorem	NOUN
ejpam-5907	279	7	12	12	NUM
ejpam-5907	279	8	.	.	PUNCT
ejpam-5907	280	1	in	in	ADP
ejpam-5907	280	2	this	this	DET
ejpam-5907	280	3	particular	particular	ADJ
ejpam-5907	280	4	case	case	NOUN
ejpam-5907	280	5	,	,	PUNCT
ejpam-5907	280	6	we	we	PRON
ejpam-5907	280	7	define	define	VERB
ejpam-5907	280	8	the	the	DET
ejpam-5907	280	9	function	function	NOUN
ejpam-5907	280	10	γ1	γ1	NOUN
ejpam-5907	280	11	:	:	PUNCT
ejpam-5907	280	12	∆	∆	PROPN
ejpam-5907	281	1	−→	−→	NOUN
ejpam-5907	281	2	c	c	PROPN
ejpam-5907	281	3	as	as	SCONJ
ejpam-5907	281	4	follows	follow	VERB
ejpam-5907	281	5	γ1(ζ	γ1(ζ	PROPN
ejpam-5907	281	6	)	)	PUNCT
ejpam-5907	281	7	=	=	SYM
ejpam-5907	281	8	ζeλζ	ζeλζ	NOUN
ejpam-5907	281	9	,	,	PUNCT
ejpam-5907	281	10	0	0	PUNCT
ejpam-5907	281	11	<	<	X
ejpam-5907	281	12	λ	λ	X
ejpam-5907	281	13	≤	≤	NUM
ejpam-5907	281	14	1	1	NUM
ejpam-5907	281	15	.	.	PUNCT
ejpam-5907	282	1	(	(	PUNCT
ejpam-5907	282	2	29	29	NUM
ejpam-5907	282	3	)	)	PUNCT
ejpam-5907	282	4	in	in	ADP
ejpam-5907	282	5	what	what	PRON
ejpam-5907	282	6	follows	follow	VERB
ejpam-5907	282	7	,	,	PUNCT
ejpam-5907	282	8	we	we	PRON
ejpam-5907	282	9	introduce	introduce	VERB
ejpam-5907	282	10	the	the	DET
ejpam-5907	282	11	class	class	NOUN
ejpam-5907	282	12	φ′(∆	φ′(∆	PROPN
ejpam-5907	282	13	,	,	PUNCT
ejpam-5907	282	14	γ1	γ1	NOUN
ejpam-5907	282	15	)	)	PUNCT
ejpam-5907	282	16	of	of	ADP
ejpam-5907	282	17	admissible	admissible	ADJ
ejpam-5907	282	18	functions	function	NOUN
ejpam-5907	282	19	.	.	PUNCT
ejpam-5907	283	1	definition	definition	NOUN
ejpam-5907	283	2	8	8	NUM
ejpam-5907	283	3	.	.	PUNCT
ejpam-5907	284	1	let	let	VERB
ejpam-5907	284	2	γ1(ζ	γ1(ζ	NUM
ejpam-5907	284	3	)	)	PUNCT
ejpam-5907	284	4	be	be	AUX
ejpam-5907	284	5	given	give	VERB
ejpam-5907	284	6	by	by	ADP
ejpam-5907	284	7	(	(	PUNCT
ejpam-5907	284	8	29	29	NUM
ejpam-5907	284	9	)	)	PUNCT
ejpam-5907	284	10	and	and	CCONJ
ejpam-5907	284	11	µ	µ	PRON
ejpam-5907	284	12	∈	∈	ADP
ejpam-5907	284	13	c	c	X
ejpam-5907	284	14	,	,	PUNCT
ejpam-5907	284	15	(	(	PUNCT
ejpam-5907	284	16	µ	µ	X
ejpam-5907	284	17	̸=	̸=	PROPN
ejpam-5907	284	18	0	0	NUM
ejpam-5907	284	19	,	,	PUNCT
ejpam-5907	284	20	1	1	NUM
ejpam-5907	284	21	)	)	PUNCT
ejpam-5907	284	22	.	.	PUNCT
ejpam-5907	285	1	we	we	PRON
ejpam-5907	285	2	define	define	VERB
ejpam-5907	285	3	the	the	DET
ejpam-5907	285	4	class	class	NOUN
ejpam-5907	285	5	φ′(∆	φ′(∆	PROPN
ejpam-5907	285	6	,	,	PUNCT
ejpam-5907	285	7	γ1	γ1	NOUN
ejpam-5907	285	8	)	)	PUNCT
ejpam-5907	285	9	of	of	ADP
ejpam-5907	285	10	admissible	admissible	ADJ
ejpam-5907	285	11	functions	function	NOUN
ejpam-5907	285	12	ϕ′	ϕ′	PUNCT
ejpam-5907	285	13	:	:	PUNCT
ejpam-5907	286	1	c3	c3	PROPN
ejpam-5907	286	2	×∆	×∆	ADV
ejpam-5907	286	3	−→	−→	PROPN
ejpam-5907	286	4	c	c	NOUN
ejpam-5907	286	5	,	,	PUNCT
ejpam-5907	286	6	which	which	PRON
ejpam-5907	286	7	satisfy	satisfy	VERB
ejpam-5907	286	8	the	the	DET
ejpam-5907	286	9	following	follow	VERB
ejpam-5907	286	10	admissibility	admissibility	NOUN
ejpam-5907	286	11	conditions	condition	NOUN
ejpam-5907	286	12	:	:	PUNCT
ejpam-5907	286	13	φ′(τ	φ′(τ	ADP
ejpam-5907	286	14	′′1	′′1	NOUN
ejpam-5907	286	15	,	,	PUNCT
ejpam-5907	286	16	τ	τ	PROPN
ejpam-5907	286	17	′′	′′	PROPN
ejpam-5907	286	18	2	2	NUM
ejpam-5907	286	19	τ	τ	X
ejpam-5907	286	20	′′	′′	PROPN
ejpam-5907	286	21	3	3	NUM
ejpam-5907	286	22	,	,	PUNCT
ejpam-5907	286	23	ζ	ζ	NOUN
ejpam-5907	286	24	)	)	PUNCT
ejpam-5907	286	25	∈	∈	PROPN
ejpam-5907	286	26	ω	ω	PROPN
ejpam-5907	286	27	,	,	PUNCT
ejpam-5907	286	28	whenever	whenever	SCONJ
ejpam-5907	286	29	τ	τ	PROPN
ejpam-5907	286	30	′′1	′′1	NOUN
ejpam-5907	286	31	=	=	PROPN
ejpam-5907	286	32	ζ̄eλζ̄	ζ̄eλζ̄	X
ejpam-5907	286	33	,	,	PUNCT
ejpam-5907	286	34	τ	τ	PROPN
ejpam-5907	286	35	′′2	′′2	NOUN
ejpam-5907	286	36	=	=	PUNCT
ejpam-5907	286	37	ζ̄eλζ̄	ζ̄eλζ̄	X
ejpam-5907	286	38	1	1	NUM
ejpam-5907	286	39	+	+	CCONJ
ejpam-5907	286	40	λζ̄	λζ̄	X
ejpam-5907	286	41	+	+	ADV
ejpam-5907	286	42	mµ	mµ	VERB
ejpam-5907	286	43	m(µ−	m(µ−	PROPN
ejpam-5907	286	44	1	1	NUM
ejpam-5907	286	45	)	)	PUNCT
ejpam-5907	286	46	,	,	PUNCT
ejpam-5907	286	47	τ	τ	PROPN
ejpam-5907	286	48	′′3	′′3	NOUN
ejpam-5907	286	49	=	=	PUNCT
ejpam-5907	286	50	l+	l+	X
ejpam-5907	286	51	ζ̄eλζ̄	ζ̄eλζ̄	X
ejpam-5907	287	1	[	[	X
ejpam-5907	287	2	µ(2µ−	µ(2µ−	NOUN
ejpam-5907	287	3	1)(1	1)(1	NUM
ejpam-5907	287	4	+	+	CCONJ
ejpam-5907	287	5	λζ̄	λζ̄	X
ejpam-5907	287	6	+	+	ADJ
ejpam-5907	287	7	mµ)−m(µ−	mµ)−m(µ−	ADJ
ejpam-5907	287	8	1)2	1)2	NUM
ejpam-5907	287	9	]	]	PUNCT
ejpam-5907	287	10	mµ2(µ−	mµ2(µ−	NOUN
ejpam-5907	287	11	1	1	NUM
ejpam-5907	287	12	)	)	PUNCT
ejpam-5907	287	13	,	,	PUNCT
ejpam-5907	287	14	such	such	ADJ
ejpam-5907	287	15	that	that	SCONJ
ejpam-5907	287	16	re	re	ADP
ejpam-5907	287	17	{	{	PUNCT
ejpam-5907	287	18	l	l	NOUN
ejpam-5907	287	19	ζ̄eλζ̄(1	ζ̄eλζ̄(1	PROPN
ejpam-5907	287	20	+	+	X
ejpam-5907	287	21	λζ̄	λζ̄	X
ejpam-5907	287	22	+	+	ADJ
ejpam-5907	287	23	mµ	mµ	NOUN
ejpam-5907	287	24	)	)	PUNCT
ejpam-5907	287	25	}	}	PUNCT
ejpam-5907	287	26	≥	≥	X
ejpam-5907	287	27	µ	µ	DET
ejpam-5907	287	28	m2(µ−	m2(µ−	NOUN
ejpam-5907	287	29	1	1	NUM
ejpam-5907	287	30	)	)	PUNCT
ejpam-5907	287	31	re	re	ADP
ejpam-5907	287	32	{	{	PUNCT
ejpam-5907	287	33	λ	λ	PROPN
ejpam-5907	287	34	1	1	NUM
ejpam-5907	287	35	+	+	CCONJ
ejpam-5907	287	36	λζ̄	λζ̄	X
ejpam-5907	287	37	+	+	CCONJ
ejpam-5907	287	38	λ+	λ+	PUNCT
ejpam-5907	287	39	1	1	NUM
ejpam-5907	287	40	}	}	PUNCT
ejpam-5907	287	41	,	,	PUNCT
ejpam-5907	287	42	where	where	SCONJ
ejpam-5907	287	43	ζ	ζ	X
ejpam-5907	287	44	∈	∈	PROPN
ejpam-5907	287	45	∆	∆	NOUN
ejpam-5907	287	46	,	,	PUNCT
ejpam-5907	287	47	ζ̃	ζ̃	PROPN
ejpam-5907	287	48	∈	∈	PROPN
ejpam-5907	287	49	∂∆−	∂∆−	PROPN
ejpam-5907	287	50	e(q	e(q	PROPN
ejpam-5907	287	51	)	)	PUNCT
ejpam-5907	287	52	and	and	CCONJ
ejpam-5907	287	53	m	m	PROPN
ejpam-5907	287	54	≥	≥	NOUN
ejpam-5907	287	55	1	1	NUM
ejpam-5907	287	56	.	.	PUNCT
ejpam-5907	287	57	theorem	theorem	VERB
ejpam-5907	287	58	13	13	NUM
ejpam-5907	287	59	.	.	PUNCT
ejpam-5907	288	1	let	let	VERB
ejpam-5907	288	2	γ1(ζ	γ1(ζ	NUM
ejpam-5907	288	3	)	)	PUNCT
ejpam-5907	288	4	be	be	AUX
ejpam-5907	288	5	given	give	VERB
ejpam-5907	288	6	by	by	ADP
ejpam-5907	288	7	(	(	PUNCT
ejpam-5907	288	8	29	29	NUM
ejpam-5907	288	9	)	)	PUNCT
ejpam-5907	288	10	,	,	PUNCT
ejpam-5907	288	11	ϕ′	ϕ′	PUNCT
ejpam-5907	288	12	∈	∈	PROPN
ejpam-5907	288	13	φ′(∆	φ′(∆	PROPN
ejpam-5907	288	14	,	,	PUNCT
ejpam-5907	288	15	γ2	γ2	PROPN
ejpam-5907	288	16	)	)	PUNCT
ejpam-5907	288	17	and	and	CCONJ
ejpam-5907	288	18	µ	µ	PRON
ejpam-5907	288	19	∈	∈	ADP
ejpam-5907	288	20	c	c	X
ejpam-5907	288	21	,	,	PUNCT
ejpam-5907	288	22	(	(	PUNCT
ejpam-5907	288	23	µ	µ	X
ejpam-5907	288	24	̸=	̸=	PROPN
ejpam-5907	288	25	0	0	NUM
ejpam-5907	288	26	,	,	PUNCT
ejpam-5907	288	27	1	1	NUM
ejpam-5907	288	28	)	)	PUNCT
ejpam-5907	288	29	.	.	PUNCT
ejpam-5907	289	1	if	if	SCONJ
ejpam-5907	289	2	f	f	PROPN
ejpam-5907	289	3	∈	∈	PROPN
ejpam-5907	289	4	a	a	DET
ejpam-5907	289	5	satisfies	satisfie	NOUN
ejpam-5907	289	6	∆	∆	X
ejpam-5907	289	7	⊆	⊆	NUM
ejpam-5907	289	8	{	{	PUNCT
ejpam-5907	289	9	ϕ′	ϕ′	PROPN
ejpam-5907	289	10	(	(	PUNCT
ejpam-5907	289	11	σ	σ	PROPN
ejpam-5907	289	12	αq	αq	PROPN
ejpam-5907	289	13	µ	µ	NOUN
ejpam-5907	289	14	βf(ζ	βf(ζ	NUM
ejpam-5907	289	15	)	)	PUNCT
ejpam-5907	289	16	,	,	PUNCT
ejpam-5907	289	17	σ	σ	PROPN
ejpam-5907	289	18	αq	αq	ADP
ejpam-5907	289	19	µ+1	µ+1	PRON
ejpam-5907	289	20	β	β	X
ejpam-5907	289	21	f(ζ	f(ζ	PROPN
ejpam-5907	289	22	)	)	PUNCT
ejpam-5907	289	23	,	,	PUNCT
ejpam-5907	289	24	σαq	σαq	PROPN
ejpam-5907	289	25	µ+2	µ+2	PROPN
ejpam-5907	289	26	β	β	PROPN
ejpam-5907	289	27	f(ζ	f(ζ	PROPN
ejpam-5907	289	28	)	)	PUNCT
ejpam-5907	289	29	,	,	PUNCT
ejpam-5907	289	30	ζ	ζ	NOUN
ejpam-5907	289	31	)	)	PUNCT
ejpam-5907	289	32	,	,	PUNCT
ejpam-5907	289	33	ζ	ζ	PROPN
ejpam-5907	289	34	∈	∈	NOUN
ejpam-5907	289	35	∆	∆	X
ejpam-5907	289	36	}	}	PUNCT
ejpam-5907	289	37	,	,	PUNCT
ejpam-5907	289	38	then	then	ADV
ejpam-5907	289	39	we	we	PRON
ejpam-5907	289	40	have	have	AUX
ejpam-5907	289	41	ζeλζ	ζeλζ	ADJ
ejpam-5907	289	42	≺	≺	NOUN
ejpam-5907	289	43	σ	σ	PROPN
ejpam-5907	289	44	αq	αq	ADP
ejpam-5907	289	45	µ	µ	NOUN
ejpam-5907	289	46	βf(ζ	βf(ζ	NUM
ejpam-5907	289	47	)	)	PUNCT
ejpam-5907	289	48	.	.	PUNCT
ejpam-5907	290	1	e.	e.	PROPN
ejpam-5907	290	2	amini	amini	PROPN
ejpam-5907	290	3	,	,	PUNCT
ejpam-5907	290	4	s.	s.	PROPN
ejpam-5907	290	5	al	al	PROPN
ejpam-5907	290	6	-	-	PUNCT
ejpam-5907	290	7	omari	omari	PROPN
ejpam-5907	290	8	,	,	PUNCT
ejpam-5907	290	9	m.	m.	NOUN
ejpam-5907	290	10	khandaqji	khandaqji	PROPN
ejpam-5907	290	11	/	/	SYM
ejpam-5907	290	12	eur	eur	PROPN
ejpam-5907	290	13	.	.	PUNCT
ejpam-5907	291	1	j.	j.	PROPN
ejpam-5907	291	2	pure	pure	PROPN
ejpam-5907	291	3	appl	appl	PROPN
ejpam-5907	291	4	.	.	PROPN
ejpam-5907	291	5	math	math	PROPN
ejpam-5907	291	6	,	,	PUNCT
ejpam-5907	291	7	18	18	NUM
ejpam-5907	291	8	(	(	PUNCT
ejpam-5907	291	9	2	2	NUM
ejpam-5907	291	10	)	)	PUNCT
ejpam-5907	291	11	(	(	PUNCT
ejpam-5907	291	12	2025	2025	NUM
ejpam-5907	291	13	)	)	PUNCT
ejpam-5907	291	14	,	,	PUNCT
ejpam-5907	291	15	5907	5907	NUM
ejpam-5907	291	16	16	16	NUM
ejpam-5907	291	17	of	of	ADP
ejpam-5907	291	18	22	22	NUM
ejpam-5907	291	19	proof	proof	NOUN
ejpam-5907	291	20	.	.	PUNCT
ejpam-5907	292	1	similar	similar	ADJ
ejpam-5907	292	2	proof	proof	NOUN
ejpam-5907	292	3	to	to	ADP
ejpam-5907	292	4	the	the	DET
ejpam-5907	292	5	proof	proof	NOUN
ejpam-5907	292	6	of	of	ADP
ejpam-5907	292	7	theorem	theorem	NOUN
ejpam-5907	292	8	9	9	NUM
ejpam-5907	292	9	,	,	PUNCT
ejpam-5907	292	10	we	we	PRON
ejpam-5907	292	11	can	can	AUX
ejpam-5907	292	12	proof	proof	NOUN
ejpam-5907	292	13	theorem	theorem	VERB
ejpam-5907	292	14	13	13	NUM
ejpam-5907	292	15	.	.	PUNCT
ejpam-5907	293	1	theorem	theorem	NOUN
ejpam-5907	293	2	14	14	NUM
ejpam-5907	293	3	.	.	PUNCT
ejpam-5907	294	1	let	let	VERB
ejpam-5907	294	2	h(ζ	h(ζ	NOUN
ejpam-5907	294	3	)	)	PUNCT
ejpam-5907	294	4	be	be	AUX
ejpam-5907	294	5	a	a	DET
ejpam-5907	294	6	conformal	conformal	ADJ
ejpam-5907	294	7	mapping	mapping	NOUN
ejpam-5907	294	8	of	of	ADP
ejpam-5907	294	9	∆	∆	PROPN
ejpam-5907	294	10	onto	onto	ADP
ejpam-5907	294	11	c	c	PROPN
ejpam-5907	294	12	,	,	PUNCT
ejpam-5907	294	13	γ1(ζ	γ1(ζ	PROPN
ejpam-5907	294	14	)	)	PUNCT
ejpam-5907	294	15	be	be	AUX
ejpam-5907	294	16	given	give	VERB
ejpam-5907	294	17	by	by	ADP
ejpam-5907	294	18	(	(	PUNCT
ejpam-5907	294	19	29	29	NUM
ejpam-5907	294	20	)	)	PUNCT
ejpam-5907	294	21	,	,	PUNCT
ejpam-5907	294	22	ϕ′	ϕ′	PUNCT
ejpam-5907	294	23	∈	∈	PROPN
ejpam-5907	294	24	φ′(∆	φ′(∆	PROPN
ejpam-5907	294	25	,	,	PUNCT
ejpam-5907	294	26	γ2	γ2	PROPN
ejpam-5907	294	27	)	)	PUNCT
ejpam-5907	294	28	,	,	PUNCT
ejpam-5907	294	29	µ	µ	PROPN
ejpam-5907	294	30	∈	∈	PROPN
ejpam-5907	294	31	c	c	X
ejpam-5907	294	32	,	,	PUNCT
ejpam-5907	294	33	(	(	PUNCT
ejpam-5907	294	34	µ	µ	X
ejpam-5907	294	35	̸=	̸=	PROPN
ejpam-5907	294	36	0	0	NUM
ejpam-5907	294	37	,	,	PUNCT
ejpam-5907	294	38	1	1	NUM
ejpam-5907	294	39	)	)	PUNCT
ejpam-5907	294	40	and	and	CCONJ
ejpam-5907	294	41	ϕ′	ϕ′	PROPN
ejpam-5907	294	42	(	(	PUNCT
ejpam-5907	294	43	σ	σ	PROPN
ejpam-5907	294	44	αq	αq	PROPN
ejpam-5907	294	45	µ	µ	NOUN
ejpam-5907	294	46	βf(ζ	βf(ζ	NUM
ejpam-5907	294	47	)	)	PUNCT
ejpam-5907	294	48	,	,	PUNCT
ejpam-5907	294	49	σ	σ	PROPN
ejpam-5907	294	50	αq	αq	ADP
ejpam-5907	294	51	µ+1	µ+1	PRON
ejpam-5907	294	52	β	β	X
ejpam-5907	294	53	f(ζ	f(ζ	PROPN
ejpam-5907	294	54	)	)	PUNCT
ejpam-5907	294	55	,	,	PUNCT
ejpam-5907	294	56	σαq	σαq	PROPN
ejpam-5907	294	57	µ+2	µ+2	PROPN
ejpam-5907	294	58	β	β	PROPN
ejpam-5907	294	59	f(ζ	f(ζ	PROPN
ejpam-5907	294	60	)	)	PUNCT
ejpam-5907	294	61	,	,	PUNCT
ejpam-5907	294	62	ζ	ζ	NOUN
ejpam-5907	294	63	)	)	PUNCT
ejpam-5907	294	64	is	be	AUX
ejpam-5907	294	65	univalent	univalent	ADJ
ejpam-5907	294	66	in	in	ADP
ejpam-5907	294	67	∆	∆	PROPN
ejpam-5907	294	68	.	.	PUNCT
ejpam-5907	295	1	if	if	SCONJ
ejpam-5907	295	2	h(ζ	h(ζ	NOUN
ejpam-5907	295	3	)	)	PUNCT
ejpam-5907	295	4	≺	≺	NOUN
ejpam-5907	295	5	ϕ′	ϕ′	PROPN
ejpam-5907	296	1	(	(	PUNCT
ejpam-5907	296	2	σ	σ	PROPN
ejpam-5907	296	3	αq	αq	PROPN
ejpam-5907	296	4	µ	µ	NOUN
ejpam-5907	296	5	βf(ζ	βf(ζ	NUM
ejpam-5907	296	6	)	)	PUNCT
ejpam-5907	296	7	,	,	PUNCT
ejpam-5907	296	8	σ	σ	PROPN
ejpam-5907	296	9	αq	αq	ADP
ejpam-5907	296	10	µ+1	µ+1	PRON
ejpam-5907	296	11	β	β	X
ejpam-5907	296	12	f(ζ	f(ζ	PROPN
ejpam-5907	296	13	)	)	PUNCT
ejpam-5907	296	14	,	,	PUNCT
ejpam-5907	296	15	σαq	σαq	PROPN
ejpam-5907	296	16	µ+2	µ+2	PROPN
ejpam-5907	296	17	β	β	PROPN
ejpam-5907	296	18	f(ζ	f(ζ	PROPN
ejpam-5907	296	19	)	)	PUNCT
ejpam-5907	296	20	,	,	PUNCT
ejpam-5907	296	21	ζ	ζ	NOUN
ejpam-5907	296	22	)	)	PUNCT
ejpam-5907	296	23	,	,	PUNCT
ejpam-5907	296	24	then	then	ADV
ejpam-5907	296	25	we	we	PRON
ejpam-5907	296	26	have	have	VERB
ejpam-5907	296	27	1	1	NUM
ejpam-5907	296	28	eλ	eλ	NOUN
ejpam-5907	296	29	≤	≤	NUM
ejpam-5907	296	30	∣∣∣σαqµ	∣∣∣σαqµ	PROPN
ejpam-5907	296	31	βf(ζ	βf(ζ	NUM
ejpam-5907	296	32	)	)	PUNCT
ejpam-5907	296	33	∣∣∣	∣∣∣	NOUN
ejpam-5907	296	34	,	,	PUNCT
ejpam-5907	296	35	(	(	PUNCT
ejpam-5907	296	36	30	30	NUM
ejpam-5907	296	37	)	)	PUNCT
ejpam-5907	296	38	for	for	ADP
ejpam-5907	296	39	all	all	DET
ejpam-5907	296	40	ζ	ζ	NOUN
ejpam-5907	296	41	in	in	ADP
ejpam-5907	296	42	the	the	DET
ejpam-5907	296	43	disc	disc	NOUN
ejpam-5907	296	44	|ζ|	|ζ|	NOUN
ejpam-5907	296	45	≤	≤	NOUN
ejpam-5907	296	46	1	1	NUM
ejpam-5907	296	47	2(3−	2(3−	NUM
ejpam-5907	296	48	√	√	NUM
ejpam-5907	296	49	5	5	NUM
ejpam-5907	296	50	)	)	PUNCT
ejpam-5907	296	51	and	and	CCONJ
ejpam-5907	296	52	0	0	NUM
ejpam-5907	296	53	<	<	X
ejpam-5907	296	54	λ	λ	X
ejpam-5907	296	55	≤	≤	NUM
ejpam-5907	296	56	1	1	NUM
ejpam-5907	296	57	.	.	PUNCT
ejpam-5907	297	1	this	this	DET
ejpam-5907	297	2	radius	radius	NOUN
ejpam-5907	297	3	is	be	AUX
ejpam-5907	297	4	best	well	ADV
ejpam-5907	297	5	possible	possible	ADJ
ejpam-5907	297	6	.	.	PUNCT
ejpam-5907	298	1	proof	proof	NOUN
ejpam-5907	298	2	.	.	PUNCT
ejpam-5907	299	1	in	in	ADP
ejpam-5907	299	2	view	view	NOUN
ejpam-5907	299	3	of	of	ADP
ejpam-5907	299	4	theorem	theorem	NOUN
ejpam-5907	299	5	10	10	NUM
ejpam-5907	299	6	,	,	PUNCT
ejpam-5907	299	7	we	we	PRON
ejpam-5907	299	8	obtain	obtain	VERB
ejpam-5907	299	9	that	that	SCONJ
ejpam-5907	299	10	γ1(ζ	γ1(ζ	NOUN
ejpam-5907	299	11	)	)	PUNCT
ejpam-5907	299	12	≺	≺	NOUN
ejpam-5907	299	13	σ	σ	PROPN
ejpam-5907	299	14	αq	αq	ADP
ejpam-5907	299	15	µ	µ	NOUN
ejpam-5907	299	16	βf(ζ	βf(ζ	NUM
ejpam-5907	299	17	)	)	PUNCT
ejpam-5907	299	18	.	.	PUNCT
ejpam-5907	300	1	now	now	ADV
ejpam-5907	300	2	,	,	PUNCT
ejpam-5907	300	3	by	by	ADP
ejpam-5907	300	4	applying	apply	VERB
ejpam-5907	300	5	lemma	lemma	PROPN
ejpam-5907	300	6	3	3	NUM
ejpam-5907	300	7	,	,	PUNCT
ejpam-5907	300	8	we	we	PRON
ejpam-5907	300	9	get	get	VERB
ejpam-5907	300	10	|γ1(ζ)|	|γ1(ζ)|	NOUN
ejpam-5907	300	11	≤	≤	NUM
ejpam-5907	300	12	∣∣∣σαqµ	∣∣∣σαqµ	PROPN
ejpam-5907	300	13	βf(ζ	βf(ζ	NUM
ejpam-5907	300	14	)	)	PUNCT
ejpam-5907	300	15	∣∣∣	∣∣∣	NOUN
ejpam-5907	300	16	,	,	PUNCT
ejpam-5907	300	17	for	for	ADP
ejpam-5907	300	18	all	all	DET
ejpam-5907	300	19	ζ	ζ	NOUN
ejpam-5907	300	20	in	in	ADP
ejpam-5907	300	21	the	the	DET
ejpam-5907	300	22	disc	disc	NOUN
ejpam-5907	300	23	|ζ|	|ζ|	NOUN
ejpam-5907	300	24	≤	≤	NOUN
ejpam-5907	300	25	1	1	NUM
ejpam-5907	300	26	2(3−	2(3−	NUM
ejpam-5907	300	27	√	√	NUM
ejpam-5907	300	28	5	5	NUM
ejpam-5907	300	29	)	)	PUNCT
ejpam-5907	300	30	.	.	PUNCT
ejpam-5907	301	1	from	from	ADP
ejpam-5907	301	2	the	the	DET
ejpam-5907	301	3	maximum	maximum	ADJ
ejpam-5907	301	4	-	-	PUNCT
ejpam-5907	301	5	modulus	modulus	ADJ
ejpam-5907	301	6	principle	principle	NOUN
ejpam-5907	301	7	,	,	PUNCT
ejpam-5907	301	8	we	we	PRON
ejpam-5907	301	9	have	have	VERB
ejpam-5907	301	10	1	1	NUM
ejpam-5907	301	11	eλ	eλ	NOUN
ejpam-5907	301	12	≤	≤	NUM
ejpam-5907	301	13	|γ1(ζ)|	|γ1(ζ)|	NOUN
ejpam-5907	301	14	.	.	PUNCT
ejpam-5907	302	1	this	this	PRON
ejpam-5907	302	2	establish	establish	VERB
ejpam-5907	302	3	inequality	inequality	NOUN
ejpam-5907	302	4	(	(	PUNCT
ejpam-5907	302	5	30	30	NUM
ejpam-5907	302	6	)	)	PUNCT
ejpam-5907	302	7	.	.	PUNCT
ejpam-5907	303	1	by	by	ADP
ejpam-5907	303	2	using	use	VERB
ejpam-5907	303	3	lemma	lemma	PROPN
ejpam-5907	303	4	3	3	NUM
ejpam-5907	303	5	we	we	PRON
ejpam-5907	303	6	conclude	conclude	VERB
ejpam-5907	303	7	that	that	SCONJ
ejpam-5907	303	8	this	this	DET
ejpam-5907	303	9	radius	radius	NOUN
ejpam-5907	303	10	is	be	AUX
ejpam-5907	303	11	best	well	ADV
ejpam-5907	303	12	possible	possible	ADJ
ejpam-5907	303	13	.	.	PUNCT
ejpam-5907	304	1	hence	hence	ADV
ejpam-5907	304	2	,	,	PUNCT
ejpam-5907	304	3	the	the	DET
ejpam-5907	304	4	proof	proof	NOUN
ejpam-5907	304	5	of	of	ADP
ejpam-5907	304	6	theorem	theorem	ADJ
ejpam-5907	304	7	14	14	NUM
ejpam-5907	304	8	is	be	AUX
ejpam-5907	304	9	completed	complete	VERB
ejpam-5907	304	10	.	.	PUNCT
ejpam-5907	305	1	plots	plot	NOUN
ejpam-5907	305	2	of	of	ADP
ejpam-5907	305	3	the	the	DET
ejpam-5907	305	4	suggested	suggest	VERB
ejpam-5907	305	5	function	function	NOUN
ejpam-5907	305	6	γ1(ζ	γ1(ζ	PROPN
ejpam-5907	305	7	)	)	PUNCT
ejpam-5907	305	8	=	=	SYM
ejpam-5907	305	9	ζeλζ	ζeλζ	NOUN
ejpam-5907	305	10	in	in	ADP
ejpam-5907	305	11	the	the	DET
ejpam-5907	305	12	unit	unit	NOUN
ejpam-5907	305	13	disc	disc	NOUN
ejpam-5907	305	14	∆	∆	PROPN
ejpam-5907	305	15	are	be	AUX
ejpam-5907	305	16	illustrated	illustrate	VERB
ejpam-5907	305	17	in	in	ADP
ejpam-5907	305	18	figure	figure	NOUN
ejpam-5907	305	19	2(c	2(c	NUM
ejpam-5907	305	20	)	)	PUNCT
ejpam-5907	305	21	.	.	PUNCT
ejpam-5907	306	1	the	the	DET
ejpam-5907	306	2	parameter	parameter	NOUN
ejpam-5907	306	3	was	be	AUX
ejpam-5907	306	4	λ	λ	X
ejpam-5907	306	5	=	=	NOUN
ejpam-5907	306	6	1	1	NUM
ejpam-5907	306	7	4	4	NUM
ejpam-5907	306	8	.	.	PUNCT
ejpam-5907	307	1	putting	put	VERB
ejpam-5907	307	2	ψ′(τ	ψ′(τ	ADP
ejpam-5907	307	3	′1	′1	NOUN
ejpam-5907	307	4	,	,	PUNCT
ejpam-5907	307	5	τ	τ	PROPN
ejpam-5907	307	6	′	′	NUM
ejpam-5907	307	7	2	2	NUM
ejpam-5907	307	8	,	,	PUNCT
ejpam-5907	307	9	τ	τ	PROPN
ejpam-5907	307	10	′	′	NUM
ejpam-5907	307	11	3	3	NUM
ejpam-5907	307	12	,	,	PUNCT
ejpam-5907	307	13	ζ	ζ	NOUN
ejpam-5907	307	14	)	)	PUNCT
ejpam-5907	307	15	=	=	PUNCT
ejpam-5907	307	16	τ	τ	X
ejpam-5907	307	17	′2	′2	X
ejpam-5907	307	18	in	in	ADP
ejpam-5907	307	19	theorem	theorem	NOUN
ejpam-5907	307	20	(	(	PUNCT
ejpam-5907	307	21	14	14	NUM
ejpam-5907	307	22	)	)	PUNCT
ejpam-5907	307	23	yields	yield	VERB
ejpam-5907	307	24	the	the	DET
ejpam-5907	307	25	following	follow	VERB
ejpam-5907	307	26	corollary	corollary	NOUN
ejpam-5907	307	27	.	.	PUNCT
ejpam-5907	308	1	corollary	corollary	ADJ
ejpam-5907	308	2	3	3	NUM
ejpam-5907	308	3	.	.	PUNCT
ejpam-5907	309	1	let	let	VERB
ejpam-5907	309	2	h(ζ	h(ζ	NOUN
ejpam-5907	309	3	)	)	PUNCT
ejpam-5907	309	4	be	be	AUX
ejpam-5907	309	5	a	a	DET
ejpam-5907	309	6	conformal	conformal	ADJ
ejpam-5907	309	7	mapping	mapping	NOUN
ejpam-5907	309	8	of	of	ADP
ejpam-5907	309	9	∆	∆	PROPN
ejpam-5907	309	10	onto	onto	ADP
ejpam-5907	309	11	c	c	PROPN
ejpam-5907	309	12	,	,	PUNCT
ejpam-5907	309	13	γ1(ζ	γ1(ζ	PROPN
ejpam-5907	309	14	)	)	PUNCT
ejpam-5907	309	15	be	be	AUX
ejpam-5907	309	16	given	give	VERB
ejpam-5907	309	17	by	by	ADP
ejpam-5907	309	18	(	(	PUNCT
ejpam-5907	309	19	29	29	NUM
ejpam-5907	309	20	)	)	PUNCT
ejpam-5907	309	21	,	,	PUNCT
ejpam-5907	309	22	ϕ′	ϕ′	PUNCT
ejpam-5907	309	23	∈	∈	PROPN
ejpam-5907	309	24	φ′(∆	φ′(∆	PROPN
ejpam-5907	309	25	,	,	PUNCT
ejpam-5907	309	26	γ1	γ1	PROPN
ejpam-5907	309	27	)	)	PUNCT
ejpam-5907	309	28	,	,	PUNCT
ejpam-5907	309	29	µ	µ	PROPN
ejpam-5907	309	30	∈	∈	PROPN
ejpam-5907	309	31	c	c	X
ejpam-5907	309	32	,	,	PUNCT
ejpam-5907	309	33	(	(	PUNCT
ejpam-5907	309	34	µ	µ	X
ejpam-5907	309	35	̸=	̸=	PROPN
ejpam-5907	309	36	0	0	NUM
ejpam-5907	309	37	,	,	PUNCT
ejpam-5907	309	38	1	1	NUM
ejpam-5907	309	39	)	)	PUNCT
ejpam-5907	309	40	and	and	CCONJ
ejpam-5907	309	41	ϕ′	ϕ′	PROPN
ejpam-5907	309	42	(	(	PUNCT
ejpam-5907	309	43	σ	σ	PROPN
ejpam-5907	309	44	αq	αq	PROPN
ejpam-5907	309	45	µ	µ	NOUN
ejpam-5907	309	46	βf(ζ	βf(ζ	NUM
ejpam-5907	309	47	)	)	PUNCT
ejpam-5907	309	48	,	,	PUNCT
ejpam-5907	309	49	σ	σ	PROPN
ejpam-5907	309	50	αq	αq	ADP
ejpam-5907	309	51	µ+1	µ+1	PRON
ejpam-5907	309	52	β	β	X
ejpam-5907	309	53	f(ζ	f(ζ	PROPN
ejpam-5907	309	54	)	)	PUNCT
ejpam-5907	309	55	,	,	PUNCT
ejpam-5907	309	56	σαq	σαq	PROPN
ejpam-5907	309	57	µ+2	µ+2	PROPN
ejpam-5907	309	58	β	β	PROPN
ejpam-5907	309	59	f(ζ	f(ζ	PROPN
ejpam-5907	309	60	)	)	PUNCT
ejpam-5907	309	61	,	,	PUNCT
ejpam-5907	309	62	ζ	ζ	NOUN
ejpam-5907	309	63	)	)	PUNCT
ejpam-5907	309	64	is	be	AUX
ejpam-5907	309	65	univalent	univalent	ADJ
ejpam-5907	309	66	in	in	ADP
ejpam-5907	309	67	∆	∆	PROPN
ejpam-5907	309	68	.	.	PUNCT
ejpam-5907	310	1	if	if	SCONJ
ejpam-5907	310	2	h(ζ	h(ζ	NOUN
ejpam-5907	310	3	)	)	PUNCT
ejpam-5907	310	4	≺	≺	NOUN
ejpam-5907	310	5	σ	σ	X
ejpam-5907	310	6	αq	αq	ADP
ejpam-5907	310	7	µ+1	µ+1	PRON
ejpam-5907	310	8	β	β	X
ejpam-5907	310	9	f(ζ	f(ζ	NOUN
ejpam-5907	310	10	)	)	PUNCT
ejpam-5907	310	11	,	,	PUNCT
ejpam-5907	310	12	then	then	ADV
ejpam-5907	310	13	we	we	PRON
ejpam-5907	310	14	have	have	VERB
ejpam-5907	310	15	1	1	NUM
ejpam-5907	310	16	eλ	eλ	NOUN
ejpam-5907	310	17	≤	≤	NUM
ejpam-5907	310	18	∣∣∣σαqµ	∣∣∣σαqµ	PROPN
ejpam-5907	310	19	βf(ζ	βf(ζ	NUM
ejpam-5907	310	20	)	)	PUNCT
ejpam-5907	310	21	∣∣∣	∣∣∣	NOUN
ejpam-5907	310	22	,	,	PUNCT
ejpam-5907	310	23	for	for	ADP
ejpam-5907	310	24	all	all	DET
ejpam-5907	310	25	ζ	ζ	NOUN
ejpam-5907	310	26	in	in	ADP
ejpam-5907	310	27	the	the	DET
ejpam-5907	310	28	disc	disc	NOUN
ejpam-5907	310	29	|ζ|	|ζ|	NOUN
ejpam-5907	310	30	≤	≤	NOUN
ejpam-5907	310	31	1	1	NUM
ejpam-5907	310	32	2(3−	2(3−	NUM
ejpam-5907	310	33	√	√	NUM
ejpam-5907	310	34	5	5	NUM
ejpam-5907	310	35	)	)	PUNCT
ejpam-5907	310	36	and	and	CCONJ
ejpam-5907	310	37	0	0	NUM
ejpam-5907	310	38	<	<	X
ejpam-5907	310	39	λ	λ	X
ejpam-5907	310	40	≤	≤	NUM
ejpam-5907	310	41	1	1	NUM
ejpam-5907	310	42	.	.	PUNCT
ejpam-5907	311	1	this	this	DET
ejpam-5907	311	2	radius	radius	NOUN
ejpam-5907	311	3	is	be	AUX
ejpam-5907	311	4	best	well	ADV
ejpam-5907	311	5	possible	possible	ADJ
ejpam-5907	311	6	.	.	PUNCT
ejpam-5907	312	1	e.	e.	PROPN
ejpam-5907	312	2	amini	amini	PROPN
ejpam-5907	312	3	,	,	PUNCT
ejpam-5907	312	4	s.	s.	PROPN
ejpam-5907	312	5	al	al	PROPN
ejpam-5907	312	6	-	-	PUNCT
ejpam-5907	312	7	omari	omari	PROPN
ejpam-5907	312	8	,	,	PUNCT
ejpam-5907	312	9	m.	m.	NOUN
ejpam-5907	312	10	khandaqji	khandaqji	PROPN
ejpam-5907	312	11	/	/	SYM
ejpam-5907	312	12	eur	eur	PROPN
ejpam-5907	312	13	.	.	PUNCT
ejpam-5907	313	1	j.	j.	PROPN
ejpam-5907	313	2	pure	pure	PROPN
ejpam-5907	313	3	appl	appl	PROPN
ejpam-5907	313	4	.	.	PROPN
ejpam-5907	313	5	math	math	PROPN
ejpam-5907	313	6	,	,	PUNCT
ejpam-5907	313	7	18	18	NUM
ejpam-5907	313	8	(	(	PUNCT
ejpam-5907	313	9	2	2	NUM
ejpam-5907	313	10	)	)	PUNCT
ejpam-5907	313	11	(	(	PUNCT
ejpam-5907	313	12	2025	2025	NUM
ejpam-5907	313	13	)	)	PUNCT
ejpam-5907	313	14	,	,	PUNCT
ejpam-5907	313	15	5907	5907	NUM
ejpam-5907	313	16	17	17	NUM
ejpam-5907	313	17	of	of	ADP
ejpam-5907	313	18	22	22	NUM
ejpam-5907	313	19	theorem	theorem	NOUN
ejpam-5907	313	20	15	15	NUM
ejpam-5907	313	21	.	.	PUNCT
ejpam-5907	314	1	let	let	VERB
ejpam-5907	314	2	h(ζ	h(ζ	NOUN
ejpam-5907	314	3	)	)	PUNCT
ejpam-5907	314	4	be	be	AUX
ejpam-5907	314	5	a	a	DET
ejpam-5907	314	6	conformal	conformal	ADJ
ejpam-5907	314	7	mapping	mapping	NOUN
ejpam-5907	314	8	of	of	ADP
ejpam-5907	314	9	∆	∆	PROPN
ejpam-5907	314	10	onto	onto	ADP
ejpam-5907	314	11	c	c	PROPN
ejpam-5907	314	12	,	,	PUNCT
ejpam-5907	314	13	γ1(ζ	γ1(ζ	PROPN
ejpam-5907	314	14	)	)	PUNCT
ejpam-5907	314	15	be	be	AUX
ejpam-5907	314	16	given	give	VERB
ejpam-5907	314	17	by	by	ADP
ejpam-5907	314	18	(	(	PUNCT
ejpam-5907	314	19	29	29	NUM
ejpam-5907	314	20	)	)	PUNCT
ejpam-5907	314	21	,	,	PUNCT
ejpam-5907	314	22	ϕ′	ϕ′	PUNCT
ejpam-5907	314	23	∈	∈	PROPN
ejpam-5907	314	24	φ′(∆	φ′(∆	PROPN
ejpam-5907	314	25	,	,	PUNCT
ejpam-5907	314	26	γ1	γ1	PROPN
ejpam-5907	314	27	)	)	PUNCT
ejpam-5907	314	28	,	,	PUNCT
ejpam-5907	314	29	µ	µ	PROPN
ejpam-5907	314	30	∈	∈	PROPN
ejpam-5907	314	31	c	c	X
ejpam-5907	314	32	,	,	PUNCT
ejpam-5907	314	33	(	(	PUNCT
ejpam-5907	314	34	µ	µ	X
ejpam-5907	314	35	̸=	̸=	PROPN
ejpam-5907	314	36	0	0	NUM
ejpam-5907	314	37	,	,	PUNCT
ejpam-5907	314	38	1	1	NUM
ejpam-5907	314	39	)	)	PUNCT
ejpam-5907	314	40	and	and	CCONJ
ejpam-5907	314	41	ϕ′	ϕ′	PROPN
ejpam-5907	314	42	(	(	PUNCT
ejpam-5907	314	43	σ	σ	PROPN
ejpam-5907	314	44	αq	αq	PROPN
ejpam-5907	314	45	µ	µ	NOUN
ejpam-5907	314	46	βf(ζ	βf(ζ	NUM
ejpam-5907	314	47	)	)	PUNCT
ejpam-5907	314	48	,	,	PUNCT
ejpam-5907	314	49	σ	σ	PROPN
ejpam-5907	314	50	αq	αq	ADP
ejpam-5907	314	51	µ+1	µ+1	PRON
ejpam-5907	314	52	β	β	X
ejpam-5907	314	53	f(ζ	f(ζ	PROPN
ejpam-5907	314	54	)	)	PUNCT
ejpam-5907	314	55	,	,	PUNCT
ejpam-5907	314	56	σαq	σαq	PROPN
ejpam-5907	314	57	µ+2	µ+2	PROPN
ejpam-5907	314	58	β	β	PROPN
ejpam-5907	314	59	f(ζ	f(ζ	PROPN
ejpam-5907	314	60	)	)	PUNCT
ejpam-5907	314	61	,	,	PUNCT
ejpam-5907	314	62	ζ	ζ	NOUN
ejpam-5907	314	63	)	)	PUNCT
ejpam-5907	314	64	is	be	AUX
ejpam-5907	314	65	univalent	univalent	ADJ
ejpam-5907	314	66	in	in	ADP
ejpam-5907	314	67	∆.	∆.	PROPN
ejpam-5907	314	68	if	if	SCONJ
ejpam-5907	314	69	h(ζ	h(ζ	NOUN
ejpam-5907	314	70	)	)	PUNCT
ejpam-5907	314	71	≺	≺	NOUN
ejpam-5907	314	72	ϕ′	ϕ′	PROPN
ejpam-5907	314	73	(	(	PUNCT
ejpam-5907	314	74	σ	σ	PROPN
ejpam-5907	314	75	αq	αq	PROPN
ejpam-5907	314	76	µ	µ	NOUN
ejpam-5907	314	77	βf(ζ	βf(ζ	NUM
ejpam-5907	314	78	)	)	PUNCT
ejpam-5907	314	79	,	,	PUNCT
ejpam-5907	314	80	σ	σ	PROPN
ejpam-5907	314	81	αq	αq	ADP
ejpam-5907	314	82	µ+1	µ+1	PRON
ejpam-5907	314	83	β	β	X
ejpam-5907	314	84	f(ζ	f(ζ	PROPN
ejpam-5907	314	85	)	)	PUNCT
ejpam-5907	314	86	,	,	PUNCT
ejpam-5907	314	87	σαq	σαq	PROPN
ejpam-5907	314	88	µ+2	µ+2	PROPN
ejpam-5907	314	89	β	β	PROPN
ejpam-5907	314	90	f(ζ	f(ζ	PROPN
ejpam-5907	314	91	)	)	PUNCT
ejpam-5907	314	92	,	,	PUNCT
ejpam-5907	314	93	ζ	ζ	NOUN
ejpam-5907	314	94	)	)	PUNCT
ejpam-5907	314	95	,	,	PUNCT
ejpam-5907	314	96	then	then	ADV
ejpam-5907	314	97	we	we	PRON
ejpam-5907	314	98	have	have	VERB
ejpam-5907	314	99	1−	1−	NUM
ejpam-5907	314	100	λ	λ	X
ejpam-5907	314	101	eλ	eλ	ADJ
ejpam-5907	314	102	≤	≤	ADJ
ejpam-5907	314	103	∣∣∣∣1ζ	∣∣∣∣1ζ	PROPN
ejpam-5907	315	1	[	[	X
ejpam-5907	315	2	µσαqµ+1	µσαqµ+1	NOUN
ejpam-5907	315	3	β	β	X
ejpam-5907	315	4	f(ζ)−	f(ζ)−	NOUN
ejpam-5907	315	5	(	(	PUNCT
ejpam-5907	315	6	µ−	µ−	PROPN
ejpam-5907	315	7	1)σαq	1)σαq	NUM
ejpam-5907	315	8	µ	µ	NOUN
ejpam-5907	315	9	βf(ζ	βf(ζ	NUM
ejpam-5907	315	10	)	)	PUNCT
ejpam-5907	315	11	]	]	X
ejpam-5907	315	12	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5907	315	13	,	,	PUNCT
ejpam-5907	315	14	(	(	PUNCT
ejpam-5907	315	15	31	31	NUM
ejpam-5907	315	16	)	)	PUNCT
ejpam-5907	315	17	for	for	ADP
ejpam-5907	315	18	all	all	DET
ejpam-5907	315	19	ζ	ζ	NOUN
ejpam-5907	315	20	in	in	ADP
ejpam-5907	315	21	the	the	DET
ejpam-5907	315	22	disc	disc	NOUN
ejpam-5907	315	23	|ζ|	|ζ|	NOUN
ejpam-5907	315	24	≤	≤	NOUN
ejpam-5907	315	25	1	1	NUM
ejpam-5907	315	26	2(3−	2(3−	NUM
ejpam-5907	315	27	√	√	NUM
ejpam-5907	315	28	8)	8)	NUM
ejpam-5907	315	29	and	and	CCONJ
ejpam-5907	315	30	|β1	|β1	PRON
ejpam-5907	315	31	<	<	X
ejpam-5907	315	32	1	1	X
ejpam-5907	315	33	.	.	PUNCT
ejpam-5907	316	1	this	this	DET
ejpam-5907	316	2	radius	radius	NOUN
ejpam-5907	316	3	is	be	AUX
ejpam-5907	316	4	best	well	ADV
ejpam-5907	316	5	possible	possible	ADJ
ejpam-5907	316	6	.	.	PUNCT
ejpam-5907	317	1	proof	proof	NOUN
ejpam-5907	317	2	.	.	PUNCT
ejpam-5907	318	1	in	in	ADP
ejpam-5907	318	2	view	view	NOUN
ejpam-5907	318	3	of	of	ADP
ejpam-5907	318	4	theorem	theorem	NOUN
ejpam-5907	318	5	10	10	NUM
ejpam-5907	318	6	,	,	PUNCT
ejpam-5907	318	7	we	we	PRON
ejpam-5907	318	8	obtain	obtain	VERB
ejpam-5907	318	9	that	that	SCONJ
ejpam-5907	318	10	γ1(ζ	γ1(ζ	NOUN
ejpam-5907	318	11	)	)	PUNCT
ejpam-5907	318	12	≺	≺	NOUN
ejpam-5907	318	13	σ	σ	PROPN
ejpam-5907	318	14	αq	αq	ADP
ejpam-5907	318	15	µ	µ	NOUN
ejpam-5907	318	16	βf(ζ	βf(ζ	NUM
ejpam-5907	318	17	)	)	PUNCT
ejpam-5907	318	18	.	.	PUNCT
ejpam-5907	319	1	now	now	ADV
ejpam-5907	319	2	,	,	PUNCT
ejpam-5907	319	3	by	by	ADP
ejpam-5907	319	4	applying	apply	VERB
ejpam-5907	319	5	lemma	lemma	PROPN
ejpam-5907	319	6	4	4	NUM
ejpam-5907	319	7	,	,	PUNCT
ejpam-5907	319	8	we	we	PRON
ejpam-5907	319	9	get	get	VERB
ejpam-5907	319	10	|γ′1(ζ)|	|γ′1(ζ)|	NOUN
ejpam-5907	319	11	≤	≤	NOUN
ejpam-5907	319	12	∣∣∣∣(σαqµ	∣∣∣∣(σαqµ	ADP
ejpam-5907	319	13	βf(ζ	βf(ζ	NUM
ejpam-5907	319	14	)	)	PUNCT
ejpam-5907	319	15	)	)	PUNCT
ejpam-5907	320	1	′∣∣∣∣	′∣∣∣∣	NOUN
ejpam-5907	320	2	,	,	PUNCT
ejpam-5907	320	3	(	(	PUNCT
ejpam-5907	320	4	32	32	NUM
ejpam-5907	320	5	)	)	PUNCT
ejpam-5907	320	6	for	for	ADP
ejpam-5907	320	7	all	all	DET
ejpam-5907	320	8	ζ	ζ	NOUN
ejpam-5907	320	9	in	in	ADP
ejpam-5907	320	10	the	the	DET
ejpam-5907	320	11	disc	disc	NOUN
ejpam-5907	320	12	|ζ|	|ζ|	NOUN
ejpam-5907	320	13	≤	≤	NOUN
ejpam-5907	320	14	1	1	NUM
ejpam-5907	320	15	2(3−	2(3−	NUM
ejpam-5907	320	16	√	√	PROPN
ejpam-5907	320	17	8)	8)	NUM
ejpam-5907	320	18	.	.	PUNCT
ejpam-5907	320	19	from	from	ADP
ejpam-5907	320	20	the	the	DET
ejpam-5907	320	21	maximum	maximum	ADJ
ejpam-5907	320	22	-	-	PUNCT
ejpam-5907	320	23	modulus	modulus	ADJ
ejpam-5907	320	24	principle	principle	NOUN
ejpam-5907	320	25	,	,	PUNCT
ejpam-5907	320	26	we	we	PRON
ejpam-5907	320	27	have	have	VERB
ejpam-5907	320	28	1−	1−	NUM
ejpam-5907	320	29	λ	λ	SYM
ejpam-5907	320	30	eλ	eλ	ADJ
ejpam-5907	320	31	≤	≤	NUM
ejpam-5907	320	32	|γ′1(ζ)|	|γ′1(ζ)|	NOUN
ejpam-5907	320	33	.	.	PUNCT
ejpam-5907	321	1	(	(	PUNCT
ejpam-5907	321	2	33	33	NUM
ejpam-5907	321	3	)	)	PUNCT
ejpam-5907	321	4	from	from	ADP
ejpam-5907	321	5	the	the	DET
ejpam-5907	321	6	inequalities	inequality	NOUN
ejpam-5907	321	7	(	(	PUNCT
ejpam-5907	321	8	7	7	NUM
ejpam-5907	321	9	)	)	PUNCT
ejpam-5907	321	10	,	,	PUNCT
ejpam-5907	321	11	(	(	PUNCT
ejpam-5907	321	12	33	33	NUM
ejpam-5907	321	13	)	)	PUNCT
ejpam-5907	321	14	and	and	CCONJ
ejpam-5907	321	15	(	(	PUNCT
ejpam-5907	321	16	32	32	NUM
ejpam-5907	321	17	)	)	PUNCT
ejpam-5907	321	18	,	,	PUNCT
ejpam-5907	321	19	we	we	PRON
ejpam-5907	321	20	establish	establish	VERB
ejpam-5907	321	21	inequality	inequality	NOUN
ejpam-5907	321	22	(	(	PUNCT
ejpam-5907	321	23	31	31	NUM
ejpam-5907	321	24	)	)	PUNCT
ejpam-5907	321	25	.	.	PUNCT
ejpam-5907	322	1	by	by	ADP
ejpam-5907	322	2	using	use	VERB
ejpam-5907	322	3	lemma	lemma	PROPN
ejpam-5907	322	4	4	4	NUM
ejpam-5907	322	5	we	we	PRON
ejpam-5907	322	6	conclude	conclude	VERB
ejpam-5907	322	7	that	that	SCONJ
ejpam-5907	322	8	this	this	DET
ejpam-5907	322	9	radius	radius	NOUN
ejpam-5907	322	10	is	be	AUX
ejpam-5907	322	11	best	well	ADV
ejpam-5907	322	12	possible	possible	ADJ
ejpam-5907	322	13	.	.	PUNCT
ejpam-5907	323	1	hence	hence	ADV
ejpam-5907	323	2	,	,	PUNCT
ejpam-5907	323	3	the	the	DET
ejpam-5907	323	4	proof	proof	NOUN
ejpam-5907	323	5	of	of	ADP
ejpam-5907	323	6	theorem	theorem	ADJ
ejpam-5907	323	7	15	15	NUM
ejpam-5907	323	8	is	be	AUX
ejpam-5907	323	9	completed	complete	VERB
ejpam-5907	323	10	.	.	PUNCT
ejpam-5907	324	1	plots	plot	NOUN
ejpam-5907	324	2	of	of	ADP
ejpam-5907	324	3	the	the	DET
ejpam-5907	324	4	suggested	suggest	VERB
ejpam-5907	324	5	function	function	NOUN
ejpam-5907	324	6	γ′1(ζ	γ′1(ζ	PROPN
ejpam-5907	324	7	)	)	PUNCT
ejpam-5907	325	1	=	=	SYM
ejpam-5907	325	2	eλζ	eλζ	NOUN
ejpam-5907	326	1	+	+	NUM
ejpam-5907	326	2	λζeλζ	λζeλζ	NOUN
ejpam-5907	326	3	in	in	ADP
ejpam-5907	326	4	the	the	DET
ejpam-5907	326	5	unit	unit	NOUN
ejpam-5907	326	6	disc	disc	NOUN
ejpam-5907	326	7	∆	∆	PROPN
ejpam-5907	326	8	are	be	AUX
ejpam-5907	326	9	illustrated	illustrate	VERB
ejpam-5907	326	10	in	in	ADP
ejpam-5907	326	11	figure	figure	NOUN
ejpam-5907	326	12	2(d	2(d	NUM
ejpam-5907	326	13	)	)	PUNCT
ejpam-5907	326	14	.	.	PUNCT
ejpam-5907	327	1	the	the	DET
ejpam-5907	327	2	parameter	parameter	NOUN
ejpam-5907	327	3	was	be	AUX
ejpam-5907	327	4	λ	λ	X
ejpam-5907	327	5	=	=	NOUN
ejpam-5907	327	6	1	1	NUM
ejpam-5907	327	7	4	4	NUM
ejpam-5907	327	8	.	.	PUNCT
ejpam-5907	328	1	similarly	similarly	ADV
ejpam-5907	328	2	,	,	PUNCT
ejpam-5907	328	3	putting	put	VERB
ejpam-5907	328	4	ϕ′(τ	ϕ′(τ	PUNCT
ejpam-5907	328	5	′1	′1	PROPN
ejpam-5907	328	6	,	,	PUNCT
ejpam-5907	328	7	τ	τ	PROPN
ejpam-5907	328	8	′	′	NUM
ejpam-5907	328	9	2	2	NUM
ejpam-5907	328	10	,	,	PUNCT
ejpam-5907	328	11	τ	τ	PROPN
ejpam-5907	328	12	′	′	NUM
ejpam-5907	328	13	3	3	NUM
ejpam-5907	328	14	,	,	PUNCT
ejpam-5907	328	15	ζ	ζ	NOUN
ejpam-5907	328	16	)	)	PUNCT
ejpam-5907	328	17	=	=	PUNCT
ejpam-5907	328	18	τ	τ	X
ejpam-5907	328	19	′2	′2	NOUN
ejpam-5907	328	20	in	in	ADP
ejpam-5907	328	21	the	the	DET
ejpam-5907	328	22	theorem	theorem	NOUN
ejpam-5907	328	23	(	(	PUNCT
ejpam-5907	328	24	15	15	NUM
ejpam-5907	328	25	)	)	PUNCT
ejpam-5907	328	26	leads	lead	VERB
ejpam-5907	328	27	to	to	ADP
ejpam-5907	328	28	the	the	DET
ejpam-5907	328	29	following	follow	VERB
ejpam-5907	328	30	corollary	corollary	NOUN
ejpam-5907	328	31	.	.	PUNCT
ejpam-5907	329	1	corollary	corollary	ADJ
ejpam-5907	329	2	4	4	NUM
ejpam-5907	329	3	.	.	PUNCT
ejpam-5907	330	1	let	let	VERB
ejpam-5907	330	2	h(ζ	h(ζ	PROPN
ejpam-5907	330	3	)	)	PUNCT
ejpam-5907	330	4	be	be	AUX
ejpam-5907	330	5	a	a	DET
ejpam-5907	330	6	conformal	conformal	ADJ
ejpam-5907	330	7	mapping	mapping	NOUN
ejpam-5907	330	8	of	of	ADP
ejpam-5907	330	9	∆	∆	PROPN
ejpam-5907	330	10	onto	onto	ADP
ejpam-5907	330	11	c	c	PROPN
ejpam-5907	330	12	,	,	PUNCT
ejpam-5907	330	13	γ1(ζ	γ1(ζ	PROPN
ejpam-5907	330	14	)	)	PUNCT
ejpam-5907	330	15	be	be	AUX
ejpam-5907	330	16	given	give	VERB
ejpam-5907	330	17	by	by	ADP
ejpam-5907	330	18	(	(	PUNCT
ejpam-5907	330	19	22	22	NUM
ejpam-5907	330	20	)	)	PUNCT
ejpam-5907	330	21	,	,	PUNCT
ejpam-5907	330	22	ϕ′	ϕ′	PUNCT
ejpam-5907	330	23	∈	∈	PROPN
ejpam-5907	330	24	φ′(∆	φ′(∆	PROPN
ejpam-5907	330	25	,	,	PUNCT
ejpam-5907	330	26	γ1	γ1	PROPN
ejpam-5907	330	27	)	)	PUNCT
ejpam-5907	330	28	,	,	PUNCT
ejpam-5907	330	29	µ	µ	PROPN
ejpam-5907	330	30	∈	∈	PROPN
ejpam-5907	330	31	c	c	X
ejpam-5907	330	32	,	,	PUNCT
ejpam-5907	330	33	(	(	PUNCT
ejpam-5907	330	34	µ	µ	X
ejpam-5907	330	35	̸=	̸=	PROPN
ejpam-5907	330	36	0	0	NUM
ejpam-5907	330	37	,	,	PUNCT
ejpam-5907	330	38	1	1	NUM
ejpam-5907	330	39	)	)	PUNCT
ejpam-5907	330	40	and	and	CCONJ
ejpam-5907	330	41	ϕ′	ϕ′	PROPN
ejpam-5907	330	42	(	(	PUNCT
ejpam-5907	330	43	σ	σ	PROPN
ejpam-5907	330	44	αq	αq	PROPN
ejpam-5907	330	45	µ	µ	NOUN
ejpam-5907	330	46	βf(ζ	βf(ζ	NUM
ejpam-5907	330	47	)	)	PUNCT
ejpam-5907	330	48	,	,	PUNCT
ejpam-5907	330	49	σ	σ	PROPN
ejpam-5907	330	50	αq	αq	ADP
ejpam-5907	330	51	µ+1	µ+1	PRON
ejpam-5907	330	52	β	β	X
ejpam-5907	330	53	f(ζ	f(ζ	PROPN
ejpam-5907	330	54	)	)	PUNCT
ejpam-5907	330	55	,	,	PUNCT
ejpam-5907	330	56	σαq	σαq	PROPN
ejpam-5907	330	57	µ+2	µ+2	PROPN
ejpam-5907	330	58	β	β	PROPN
ejpam-5907	330	59	f(ζ	f(ζ	PROPN
ejpam-5907	330	60	)	)	PUNCT
ejpam-5907	330	61	,	,	PUNCT
ejpam-5907	330	62	ζ	ζ	NOUN
ejpam-5907	330	63	)	)	PUNCT
ejpam-5907	330	64	is	be	AUX
ejpam-5907	330	65	univalent	univalent	ADJ
ejpam-5907	330	66	in	in	ADP
ejpam-5907	330	67	∆.	∆.	PROPN
ejpam-5907	330	68	if	if	SCONJ
ejpam-5907	330	69	h(ζ	h(ζ	NOUN
ejpam-5907	330	70	)	)	PUNCT
ejpam-5907	330	71	≺	≺	NOUN
ejpam-5907	330	72	σ	σ	X
ejpam-5907	330	73	αq	αq	ADP
ejpam-5907	330	74	µ+1	µ+1	PRON
ejpam-5907	330	75	β	β	X
ejpam-5907	330	76	f(ζ	f(ζ	NOUN
ejpam-5907	330	77	)	)	PUNCT
ejpam-5907	330	78	,	,	PUNCT
ejpam-5907	330	79	then	then	ADV
ejpam-5907	330	80	we	we	PRON
ejpam-5907	330	81	have	have	VERB
ejpam-5907	330	82	1−	1−	NUM
ejpam-5907	330	83	λ	λ	X
ejpam-5907	330	84	eλ	eλ	ADJ
ejpam-5907	330	85	≤	≤	ADJ
ejpam-5907	330	86	∣∣∣∣1ζ	∣∣∣∣1ζ	PROPN
ejpam-5907	331	1	[	[	X
ejpam-5907	331	2	µσαqµ+1	µσαqµ+1	NOUN
ejpam-5907	331	3	β	β	X
ejpam-5907	331	4	f(ζ)−	f(ζ)−	NOUN
ejpam-5907	331	5	(	(	PUNCT
ejpam-5907	331	6	µ−	µ−	PROPN
ejpam-5907	331	7	1)σαq	1)σαq	NUM
ejpam-5907	331	8	µ	µ	NOUN
ejpam-5907	331	9	βf(ζ	βf(ζ	NUM
ejpam-5907	331	10	)	)	PUNCT
ejpam-5907	331	11	]	]	X
ejpam-5907	331	12	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5907	331	13	,	,	PUNCT
ejpam-5907	331	14	for	for	ADP
ejpam-5907	331	15	all	all	DET
ejpam-5907	331	16	ζ	ζ	NOUN
ejpam-5907	331	17	in	in	ADP
ejpam-5907	331	18	the	the	DET
ejpam-5907	331	19	disc	disc	NOUN
ejpam-5907	331	20	|ζ|	|ζ|	NOUN
ejpam-5907	331	21	≤	≤	NOUN
ejpam-5907	331	22	1	1	NUM
ejpam-5907	331	23	2(3−	2(3−	NUM
ejpam-5907	331	24	√	√	PROPN
ejpam-5907	331	25	8)	8)	NUM
ejpam-5907	331	26	and	and	CCONJ
ejpam-5907	331	27	0	0	NUM
ejpam-5907	331	28	<	<	X
ejpam-5907	331	29	λ	λ	X
ejpam-5907	331	30	<	<	X
ejpam-5907	331	31	1	1	NUM
ejpam-5907	331	32	.	.	PUNCT
ejpam-5907	332	1	this	this	DET
ejpam-5907	332	2	radius	radius	NOUN
ejpam-5907	332	3	is	be	AUX
ejpam-5907	332	4	best	well	ADV
ejpam-5907	332	5	possible	possible	ADJ
ejpam-5907	332	6	.	.	PUNCT
ejpam-5907	333	1	e.	e.	PROPN
ejpam-5907	333	2	amini	amini	PROPN
ejpam-5907	333	3	,	,	PUNCT
ejpam-5907	333	4	s.	s.	PROPN
ejpam-5907	333	5	al	al	PROPN
ejpam-5907	333	6	-	-	PUNCT
ejpam-5907	333	7	omari	omari	PROPN
ejpam-5907	333	8	,	,	PUNCT
ejpam-5907	333	9	m.	m.	NOUN
ejpam-5907	333	10	khandaqji	khandaqji	PROPN
ejpam-5907	333	11	/	/	SYM
ejpam-5907	333	12	eur	eur	PROPN
ejpam-5907	333	13	.	.	PUNCT
ejpam-5907	334	1	j.	j.	PROPN
ejpam-5907	334	2	pure	pure	PROPN
ejpam-5907	334	3	appl	appl	PROPN
ejpam-5907	334	4	.	.	PROPN
ejpam-5907	334	5	math	math	PROPN
ejpam-5907	334	6	,	,	PUNCT
ejpam-5907	334	7	18	18	NUM
ejpam-5907	334	8	(	(	PUNCT
ejpam-5907	334	9	2	2	NUM
ejpam-5907	334	10	)	)	PUNCT
ejpam-5907	334	11	(	(	PUNCT
ejpam-5907	334	12	2025	2025	NUM
ejpam-5907	334	13	)	)	PUNCT
ejpam-5907	334	14	,	,	PUNCT
ejpam-5907	334	15	5907	5907	NUM
ejpam-5907	334	16	18	18	NUM
ejpam-5907	334	17	of	of	ADP
ejpam-5907	334	18	22	22	NUM
ejpam-5907	334	19	figure	figure	NOUN
ejpam-5907	334	20	3	3	NUM
ejpam-5907	334	21	:	:	PUNCT
ejpam-5907	334	22	(	(	PUNCT
ejpam-5907	334	23	c)γ1(ζ	c)γ1(ζ	NOUN
ejpam-5907	334	24	)	)	PUNCT
ejpam-5907	334	25	=	=	SYM
ejpam-5907	334	26	ζeλζ	ζeλζ	NOUN
ejpam-5907	334	27	for	for	ADP
ejpam-5907	334	28	λ	λ	X
ejpam-5907	334	29	=	=	NOUN
ejpam-5907	334	30	1	1	NUM
ejpam-5907	334	31	4	4	NUM
ejpam-5907	334	32	,	,	PUNCT
ejpam-5907	334	33	(	(	PUNCT
ejpam-5907	334	34	d)γ′	d)γ′	PROPN
ejpam-5907	334	35	1(ζ	1(ζ	NUM
ejpam-5907	334	36	)	)	PUNCT
ejpam-5907	334	37	=	=	SYM
ejpam-5907	335	1	eλζ	eλζ	NOUN
ejpam-5907	336	1	+	+	CCONJ
ejpam-5907	336	2	ζ	ζ	SYM
ejpam-5907	336	3	4	4	NUM
ejpam-5907	336	4	eλζ	eλζ	NOUN
ejpam-5907	336	5	for	for	ADP
ejpam-5907	336	6	λ	λ	PROPN
ejpam-5907	336	7	=	=	NOUN
ejpam-5907	336	8	1	1	NUM
ejpam-5907	336	9	4	4	NUM
ejpam-5907	336	10	5	5	NUM
ejpam-5907	336	11	.	.	PUNCT
ejpam-5907	336	12	result	result	VERB
ejpam-5907	336	13	on	on	ADP
ejpam-5907	336	14	sandwich	sandwich	NOUN
ejpam-5907	336	15	theorems	theorem	NOUN
ejpam-5907	336	16	in	in	ADP
ejpam-5907	336	17	this	this	DET
ejpam-5907	336	18	section	section	NOUN
ejpam-5907	336	19	,	,	PUNCT
ejpam-5907	336	20	we	we	PRON
ejpam-5907	336	21	employ	employ	VERB
ejpam-5907	336	22	the	the	DET
ejpam-5907	336	23	results	result	NOUN
ejpam-5907	336	24	obtained	obtain	VERB
ejpam-5907	336	25	in	in	ADP
ejpam-5907	336	26	sections	section	NOUN
ejpam-5907	336	27	3	3	NUM
ejpam-5907	336	28	and	and	CCONJ
ejpam-5907	336	29	4	4	NUM
ejpam-5907	336	30	and	and	CCONJ
ejpam-5907	336	31	derive	derive	VERB
ejpam-5907	336	32	the	the	DET
ejpam-5907	336	33	sandwich	sandwich	NOUN
ejpam-5907	336	34	-	-	PUNCT
ejpam-5907	336	35	type	type	NOUN
ejpam-5907	336	36	theorem	theorem	NOUN
ejpam-5907	336	37	.	.	PUNCT
ejpam-5907	336	38	theorem	theorem	PROPN
ejpam-5907	336	39	16	16	NUM
ejpam-5907	336	40	.	.	PUNCT
ejpam-5907	337	1	let	let	VERB
ejpam-5907	337	2	ω	ω	PRON
ejpam-5907	337	3	be	be	AUX
ejpam-5907	337	4	a	a	DET
ejpam-5907	337	5	subset	subset	NOUN
ejpam-5907	337	6	of	of	ADP
ejpam-5907	337	7	c	c	PROPN
ejpam-5907	337	8	and	and	CCONJ
ejpam-5907	337	9	φ	φ	NUM
ejpam-5907	337	10	∈	∈	PROPN
ejpam-5907	337	11	φ′(ω	φ′(ω	NOUN
ejpam-5907	337	12	,	,	PUNCT
ejpam-5907	337	13	γ1	γ1	PROPN
ejpam-5907	337	14	)	)	PUNCT
ejpam-5907	337	15	⋂	⋂	PROPN
ejpam-5907	337	16	ψ′(ω	ψ′(ω	PROPN
ejpam-5907	337	17	,	,	PUNCT
ejpam-5907	337	18	γ2	γ2	PROPN
ejpam-5907	337	19	)	)	PUNCT
ejpam-5907	337	20	.	.	PUNCT
ejpam-5907	338	1	if	if	SCONJ
ejpam-5907	338	2	f	f	PROPN
ejpam-5907	338	3	∈	∈	PROPN
ejpam-5907	338	4	a	a	DET
ejpam-5907	338	5	satisfies	satisfie	NOUN
ejpam-5907	338	6	{	{	PUNCT
ejpam-5907	338	7	φ	φ	PROPN
ejpam-5907	338	8	(	(	PUNCT
ejpam-5907	338	9	σ	σ	PROPN
ejpam-5907	338	10	αq	αq	PROPN
ejpam-5907	338	11	µ	µ	NOUN
ejpam-5907	338	12	βf(ζ	βf(ζ	NUM
ejpam-5907	338	13	)	)	PUNCT
ejpam-5907	338	14	,	,	PUNCT
ejpam-5907	338	15	σ	σ	PROPN
ejpam-5907	338	16	αq	αq	ADP
ejpam-5907	338	17	µ+1	µ+1	PRON
ejpam-5907	338	18	β	β	X
ejpam-5907	338	19	f(ζ	f(ζ	PROPN
ejpam-5907	338	20	)	)	PUNCT
ejpam-5907	338	21	,	,	PUNCT
ejpam-5907	338	22	σαq	σαq	PROPN
ejpam-5907	338	23	µ+2	µ+2	PROPN
ejpam-5907	338	24	β	β	PROPN
ejpam-5907	338	25	f(ζ	f(ζ	PROPN
ejpam-5907	338	26	)	)	PUNCT
ejpam-5907	338	27	,	,	PUNCT
ejpam-5907	338	28	ζ	ζ	NOUN
ejpam-5907	338	29	)	)	PUNCT
ejpam-5907	338	30	,	,	PUNCT
ejpam-5907	338	31	ζ	ζ	NOUN
ejpam-5907	338	32	∈	∈	NOUN
ejpam-5907	338	33	∆	∆	X
ejpam-5907	338	34	}	}	PUNCT
ejpam-5907	338	35	=	=	SYM
ejpam-5907	338	36	ω	ω	PROPN
ejpam-5907	338	37	,	,	PUNCT
ejpam-5907	338	38	then	then	ADV
ejpam-5907	338	39	we	we	PRON
ejpam-5907	338	40	have	have	VERB
ejpam-5907	338	41	γ1(ζ	γ1(ζ	NUM
ejpam-5907	338	42	)	)	PUNCT
ejpam-5907	338	43	≺	≺	NOUN
ejpam-5907	338	44	σ	σ	PROPN
ejpam-5907	338	45	αq	αq	ADP
ejpam-5907	338	46	µ	µ	X
ejpam-5907	338	47	βf(ζ	βf(ζ	NUM
ejpam-5907	338	48	)	)	PUNCT
ejpam-5907	338	49	≺	≺	NOUN
ejpam-5907	338	50	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	338	51	)	)	PUNCT
ejpam-5907	338	52	.	.	PUNCT
ejpam-5907	339	1	proof	proof	NOUN
ejpam-5907	339	2	.	.	PUNCT
ejpam-5907	340	1	we	we	PRON
ejpam-5907	340	2	can	can	AUX
ejpam-5907	340	3	combine	combine	VERB
ejpam-5907	340	4	the	the	DET
ejpam-5907	340	5	theorems	theorem	NOUN
ejpam-5907	340	6	1	1	NUM
ejpam-5907	340	7	and	and	CCONJ
ejpam-5907	340	8	9	9	NUM
ejpam-5907	340	9	and	and	CCONJ
ejpam-5907	340	10	obtain	obtain	VERB
ejpam-5907	340	11	the	the	DET
ejpam-5907	340	12	theorem	theorem	ADJ
ejpam-5907	340	13	16	16	NUM
ejpam-5907	340	14	.	.	PUNCT
ejpam-5907	341	1	theorem	theorem	NOUN
ejpam-5907	341	2	17	17	NUM
ejpam-5907	341	3	.	.	PUNCT
ejpam-5907	342	1	let	let	VERB
ejpam-5907	342	2	h1	h1	VERB
ejpam-5907	342	3	and	and	CCONJ
ejpam-5907	342	4	h2	h2	NOUN
ejpam-5907	342	5	be	be	AUX
ejpam-5907	342	6	two	two	NUM
ejpam-5907	342	7	conformal	conformal	ADJ
ejpam-5907	342	8	mapping	mapping	NOUN
ejpam-5907	342	9	of	of	ADP
ejpam-5907	342	10	∆	∆	PROPN
ejpam-5907	342	11	onto	onto	ADP
ejpam-5907	342	12	ω	ω	PROPN
ejpam-5907	342	13	,	,	PUNCT
ejpam-5907	342	14	γ1	γ1	PROPN
ejpam-5907	342	15	and	and	CCONJ
ejpam-5907	342	16	γ2	γ2	PROPN
ejpam-5907	342	17	be	be	AUX
ejpam-5907	342	18	two	two	NUM
ejpam-5907	342	19	analytic	analytic	ADJ
ejpam-5907	342	20	functions	function	NOUN
ejpam-5907	342	21	in	in	ADP
ejpam-5907	342	22	∆	∆	PROPN
ejpam-5907	342	23	with	with	ADP
ejpam-5907	342	24	γ1(0	γ1(0	PROPN
ejpam-5907	342	25	)	)	PUNCT
ejpam-5907	343	1	=	=	SYM
ejpam-5907	343	2	γ2(0	γ2(0	PROPN
ejpam-5907	343	3	)	)	PUNCT
ejpam-5907	343	4	=	=	SYM
ejpam-5907	343	5	0	0	NUM
ejpam-5907	343	6	and	and	CCONJ
ejpam-5907	343	7	φ	φ	NUM
ejpam-5907	343	8	∈	∈	PROPN
ejpam-5907	343	9	φ′(h	φ′(h	X
ejpam-5907	343	10	,	,	PUNCT
ejpam-5907	343	11	γ1	γ1	PROPN
ejpam-5907	343	12	)	)	PUNCT
ejpam-5907	343	13	⋂	⋂	PROPN
ejpam-5907	343	14	ψ′(h	ψ′(h	PROPN
ejpam-5907	343	15	,	,	PUNCT
ejpam-5907	343	16	γ2	γ2	NOUN
ejpam-5907	343	17	)	)	PUNCT
ejpam-5907	343	18	.	.	PUNCT
ejpam-5907	344	1	if	if	SCONJ
ejpam-5907	344	2	f	f	PROPN
ejpam-5907	344	3	∈	∈	PROPN
ejpam-5907	344	4	a	a	PROPN
ejpam-5907	344	5	,	,	PUNCT
ejpam-5907	344	6	σ	σ	PROPN
ejpam-5907	344	7	αq	αq	ADP
ejpam-5907	344	8	µ	µ	X
ejpam-5907	344	9	βf(ζ	βf(ζ	NUM
ejpam-5907	344	10	)	)	PUNCT
ejpam-5907	344	11	∈	∈	PROPN
ejpam-5907	344	12	a	a	DET
ejpam-5907	344	13	⋂	⋂	PROPN
ejpam-5907	344	14	h	h	NOUN
ejpam-5907	344	15	and	and	CCONJ
ejpam-5907	344	16	φ	φ	PROPN
ejpam-5907	344	17	(	(	PUNCT
ejpam-5907	344	18	σ	σ	PROPN
ejpam-5907	344	19	αq	αq	PROPN
ejpam-5907	344	20	µ	µ	NOUN
ejpam-5907	344	21	βf(ζ	βf(ζ	NUM
ejpam-5907	344	22	)	)	PUNCT
ejpam-5907	344	23	,	,	PUNCT
ejpam-5907	344	24	σ	σ	PROPN
ejpam-5907	344	25	αq	αq	ADP
ejpam-5907	344	26	µ+1	µ+1	PRON
ejpam-5907	344	27	β	β	X
ejpam-5907	344	28	f(ζ	f(ζ	PROPN
ejpam-5907	344	29	)	)	PUNCT
ejpam-5907	344	30	,	,	PUNCT
ejpam-5907	344	31	σαq	σαq	PROPN
ejpam-5907	344	32	µ+2	µ+2	PROPN
ejpam-5907	344	33	β	β	PROPN
ejpam-5907	344	34	f(ζ	f(ζ	PROPN
ejpam-5907	344	35	)	)	PUNCT
ejpam-5907	344	36	,	,	PUNCT
ejpam-5907	344	37	ζ	ζ	NOUN
ejpam-5907	344	38	)	)	PUNCT
ejpam-5907	344	39	is	be	AUX
ejpam-5907	344	40	univalent	univalent	ADJ
ejpam-5907	344	41	in	in	ADP
ejpam-5907	344	42	∆	∆	PROPN
ejpam-5907	344	43	,	,	PUNCT
ejpam-5907	344	44	then	then	ADV
ejpam-5907	344	45	γ1(ζ	γ1(ζ	NUM
ejpam-5907	344	46	)	)	PUNCT
ejpam-5907	344	47	≺	≺	NOUN
ejpam-5907	344	48	φ	φ	X
ejpam-5907	344	49	(	(	PUNCT
ejpam-5907	344	50	σ	σ	PROPN
ejpam-5907	344	51	αq	αq	PROPN
ejpam-5907	344	52	µ	µ	NOUN
ejpam-5907	344	53	βf(ζ	βf(ζ	NUM
ejpam-5907	344	54	)	)	PUNCT
ejpam-5907	344	55	,	,	PUNCT
ejpam-5907	344	56	σ	σ	PROPN
ejpam-5907	344	57	αq	αq	ADP
ejpam-5907	344	58	µ+1	µ+1	PRON
ejpam-5907	344	59	β	β	X
ejpam-5907	344	60	f(ζ	f(ζ	PROPN
ejpam-5907	344	61	)	)	PUNCT
ejpam-5907	344	62	,	,	PUNCT
ejpam-5907	344	63	σαq	σαq	PROPN
ejpam-5907	344	64	µ+2	µ+2	PROPN
ejpam-5907	344	65	β	β	PROPN
ejpam-5907	344	66	f(ζ	f(ζ	PROPN
ejpam-5907	344	67	)	)	PUNCT
ejpam-5907	344	68	,	,	PUNCT
ejpam-5907	344	69	ζ	ζ	NOUN
ejpam-5907	344	70	)	)	PUNCT
ejpam-5907	344	71	≺	≺	NOUN
ejpam-5907	344	72	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	344	73	)	)	PUNCT
ejpam-5907	344	74	,	,	PUNCT
ejpam-5907	344	75	implies	imply	VERB
ejpam-5907	344	76	the	the	DET
ejpam-5907	344	77	following	follow	VERB
ejpam-5907	344	78	subordination	subordination	NOUN
ejpam-5907	344	79	γ1(ζ	γ1(ζ	NUM
ejpam-5907	344	80	)	)	PUNCT
ejpam-5907	344	81	≺	≺	NOUN
ejpam-5907	344	82	σ	σ	PROPN
ejpam-5907	344	83	αq	αq	ADP
ejpam-5907	344	84	µ	µ	X
ejpam-5907	344	85	βf(ζ	βf(ζ	NUM
ejpam-5907	344	86	)	)	PUNCT
ejpam-5907	344	87	≺	≺	NOUN
ejpam-5907	344	88	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	344	89	)	)	PUNCT
ejpam-5907	344	90	.	.	PUNCT
ejpam-5907	345	1	proof	proof	NOUN
ejpam-5907	345	2	.	.	PUNCT
ejpam-5907	346	1	we	we	PRON
ejpam-5907	346	2	can	can	AUX
ejpam-5907	346	3	combine	combine	VERB
ejpam-5907	346	4	theorems	theorem	NOUN
ejpam-5907	346	5	2	2	NUM
ejpam-5907	346	6	and	and	CCONJ
ejpam-5907	346	7	10	10	NUM
ejpam-5907	346	8	and	and	CCONJ
ejpam-5907	346	9	obtain	obtain	VERB
ejpam-5907	346	10	theorem	theorem	ADJ
ejpam-5907	346	11	17	17	NUM
ejpam-5907	346	12	.	.	PUNCT
ejpam-5907	347	1	theorem	theorem	NOUN
ejpam-5907	347	2	18	18	NUM
ejpam-5907	347	3	.	.	PUNCT
ejpam-5907	348	1	let	let	VERB
ejpam-5907	348	2	0	0	NUM
ejpam-5907	348	3	<	<	X
ejpam-5907	348	4	ρ	ρ	X
ejpam-5907	348	5	<	<	X
ejpam-5907	348	6	1	1	NUM
ejpam-5907	348	7	,	,	PUNCT
ejpam-5907	348	8	h1	h1	PROPN
ejpam-5907	348	9	,	,	PUNCT
ejpam-5907	348	10	h2	h2	PROPN
ejpam-5907	348	11	be	be	AUX
ejpam-5907	348	12	two	two	NUM
ejpam-5907	348	13	conformal	conformal	ADJ
ejpam-5907	348	14	mapping	mapping	NOUN
ejpam-5907	348	15	of	of	ADP
ejpam-5907	348	16	∆	∆	PROPN
ejpam-5907	348	17	onto	onto	ADP
ejpam-5907	348	18	ω	ω	PROPN
ejpam-5907	348	19	satisfying	satisfy	VERB
ejpam-5907	348	20	the	the	DET
ejpam-5907	348	21	conditions	condition	NOUN
ejpam-5907	348	22	h1ρ(ζ	h1ρ(ζ	NOUN
ejpam-5907	348	23	)	)	PUNCT
ejpam-5907	348	24	=	=	SYM
ejpam-5907	348	25	h1(ρζ	h1(ρζ	PROPN
ejpam-5907	348	26	)	)	PUNCT
ejpam-5907	348	27	and	and	CCONJ
ejpam-5907	348	28	h2ρ(ζ	h2ρ(ζ	PROPN
ejpam-5907	348	29	)	)	PUNCT
ejpam-5907	348	30	=	=	PUNCT
ejpam-5907	348	31	h2(ρζ	h2(ρζ	PROPN
ejpam-5907	348	32	)	)	PUNCT
ejpam-5907	348	33	.	.	PUNCT
ejpam-5907	349	1	let	let	VERB
ejpam-5907	349	2	γ1	γ1	NOUN
ejpam-5907	349	3	and	and	CCONJ
ejpam-5907	349	4	γ2	γ2	PROPN
ejpam-5907	349	5	be	be	AUX
ejpam-5907	349	6	two	two	NUM
ejpam-5907	349	7	analytic	analytic	ADJ
ejpam-5907	349	8	functions	function	NOUN
ejpam-5907	349	9	in	in	ADP
ejpam-5907	349	10	∆	∆	PROPN
ejpam-5907	349	11	with	with	ADP
ejpam-5907	349	12	γ1(0	γ1(0	PROPN
ejpam-5907	349	13	)	)	PUNCT
ejpam-5907	350	1	=	=	SYM
ejpam-5907	350	2	γ2(0	γ2(0	PROPN
ejpam-5907	350	3	)	)	PUNCT
ejpam-5907	350	4	=	=	SYM
ejpam-5907	350	5	0	0	PUNCT
ejpam-5907	351	1	satisfying	satisfy	VERB
ejpam-5907	351	2	the	the	DET
ejpam-5907	351	3	conditions	condition	NOUN
ejpam-5907	351	4	,	,	PUNCT
ejpam-5907	351	5	γ1ρ(ζ	γ1ρ(ζ	PROPN
ejpam-5907	351	6	)	)	PUNCT
ejpam-5907	351	7	=	=	SYM
ejpam-5907	351	8	γ1(ρζ	γ1(ρζ	PROPN
ejpam-5907	351	9	)	)	PUNCT
ejpam-5907	351	10	and	and	CCONJ
ejpam-5907	351	11	one	one	NUM
ejpam-5907	351	12	of	of	ADP
ejpam-5907	351	13	the	the	DET
ejpam-5907	351	14	following	following	ADJ
ejpam-5907	351	15	conditions	condition	NOUN
ejpam-5907	351	16	:	:	PUNCT
ejpam-5907	351	17	e.	e.	PROPN
ejpam-5907	351	18	amini	amini	PROPN
ejpam-5907	351	19	,	,	PUNCT
ejpam-5907	351	20	s.	s.	PROPN
ejpam-5907	351	21	al	al	PROPN
ejpam-5907	351	22	-	-	PUNCT
ejpam-5907	351	23	omari	omari	PROPN
ejpam-5907	351	24	,	,	PUNCT
ejpam-5907	351	25	m.	m.	NOUN
ejpam-5907	351	26	khandaqji	khandaqji	PROPN
ejpam-5907	351	27	/	/	SYM
ejpam-5907	351	28	eur	eur	PROPN
ejpam-5907	351	29	.	.	PUNCT
ejpam-5907	352	1	j.	j.	PROPN
ejpam-5907	352	2	pure	pure	PROPN
ejpam-5907	352	3	appl	appl	PROPN
ejpam-5907	352	4	.	.	PROPN
ejpam-5907	352	5	math	math	PROPN
ejpam-5907	352	6	,	,	PUNCT
ejpam-5907	352	7	18	18	NUM
ejpam-5907	352	8	(	(	PUNCT
ejpam-5907	352	9	2	2	NUM
ejpam-5907	352	10	)	)	PUNCT
ejpam-5907	352	11	(	(	PUNCT
ejpam-5907	352	12	2025	2025	NUM
ejpam-5907	352	13	)	)	PUNCT
ejpam-5907	352	14	,	,	PUNCT
ejpam-5907	352	15	5907	5907	NUM
ejpam-5907	352	16	19	19	NUM
ejpam-5907	352	17	of	of	ADP
ejpam-5907	352	18	22	22	NUM
ejpam-5907	352	19	(	(	PUNCT
ejpam-5907	352	20	i	i	NOUN
ejpam-5907	352	21	)	)	PUNCT
ejpam-5907	352	22	φ	φ	PROPN
ejpam-5907	352	23	∈	∈	PROPN
ejpam-5907	352	24	φ′(h	φ′(h	X
ejpam-5907	352	25	,	,	PUNCT
ejpam-5907	352	26	γρ	γρ	NOUN
ejpam-5907	352	27	)	)	PUNCT
ejpam-5907	352	28	⋂	⋂	PROPN
ejpam-5907	352	29	ψ′(h	ψ′(h	PROPN
ejpam-5907	352	30	,	,	PUNCT
ejpam-5907	352	31	γρ	γρ	NOUN
ejpam-5907	352	32	)	)	PUNCT
ejpam-5907	352	33	,	,	PUNCT
ejpam-5907	352	34	or	or	CCONJ
ejpam-5907	352	35	(	(	PUNCT
ejpam-5907	352	36	ii	ii	NOUN
ejpam-5907	352	37	)	)	PUNCT
ejpam-5907	352	38	there	there	PRON
ejpam-5907	352	39	exist	exist	VERB
ejpam-5907	352	40	ρ0	ρ0	PROPN
ejpam-5907	352	41	∈	∈	PROPN
ejpam-5907	352	42	(	(	PUNCT
ejpam-5907	352	43	0	0	NUM
ejpam-5907	352	44	,	,	PUNCT
ejpam-5907	352	45	1	1	NUM
ejpam-5907	352	46	)	)	PUNCT
ejpam-5907	352	47	such	such	ADJ
ejpam-5907	352	48	that	that	SCONJ
ejpam-5907	352	49	φ	φ	PROPN
ejpam-5907	352	50	∈	∈	PROPN
ejpam-5907	352	51	φ′(hρ	φ′(hρ	PROPN
ejpam-5907	352	52	,	,	PUNCT
ejpam-5907	352	53	γρ	γρ	NOUN
ejpam-5907	352	54	)	)	PUNCT
ejpam-5907	352	55	⋂	⋂	PROPN
ejpam-5907	352	56	ψ′(hρ	ψ′(hρ	X
ejpam-5907	352	57	,	,	PUNCT
ejpam-5907	352	58	γρ	γρ	NOUN
ejpam-5907	352	59	)	)	PUNCT
ejpam-5907	352	60	,	,	PUNCT
ejpam-5907	352	61	for	for	ADP
ejpam-5907	352	62	all	all	DET
ejpam-5907	352	63	ρ	ρ	NUM
ejpam-5907	352	64	∈	∈	NOUN
ejpam-5907	352	65	(	(	PUNCT
ejpam-5907	352	66	ρ0	ρ0	PROPN
ejpam-5907	352	67	,	,	PUNCT
ejpam-5907	352	68	1	1	NUM
ejpam-5907	352	69	)	)	PUNCT
ejpam-5907	352	70	.	.	PUNCT
ejpam-5907	353	1	if	if	SCONJ
ejpam-5907	353	2	φ	φ	PROPN
ejpam-5907	353	3	∈	∈	PROPN
ejpam-5907	353	4	φ′(h	φ′(h	X
ejpam-5907	353	5	,	,	PUNCT
ejpam-5907	353	6	γ	γ	PROPN
ejpam-5907	353	7	)	)	PUNCT
ejpam-5907	353	8	⋂	⋂	PROPN
ejpam-5907	353	9	ψ′(h	ψ′(h	PROPN
ejpam-5907	353	10	,	,	PUNCT
ejpam-5907	353	11	γ	γ	NOUN
ejpam-5907	353	12	)	)	PUNCT
ejpam-5907	353	13	,	,	PUNCT
ejpam-5907	353	14	φ	φ	PROPN
ejpam-5907	353	15	(	(	PUNCT
ejpam-5907	353	16	σ	σ	PROPN
ejpam-5907	353	17	αq	αq	PROPN
ejpam-5907	353	18	µ	µ	NOUN
ejpam-5907	353	19	βf(ζ	βf(ζ	NUM
ejpam-5907	353	20	)	)	PUNCT
ejpam-5907	353	21	,	,	PUNCT
ejpam-5907	353	22	σ	σ	PROPN
ejpam-5907	353	23	αq	αq	ADP
ejpam-5907	353	24	µ+1	µ+1	PRON
ejpam-5907	353	25	β	β	X
ejpam-5907	353	26	f(ζ	f(ζ	PROPN
ejpam-5907	353	27	)	)	PUNCT
ejpam-5907	353	28	,	,	PUNCT
ejpam-5907	353	29	σαq	σαq	PROPN
ejpam-5907	353	30	µ+2	µ+2	PROPN
ejpam-5907	353	31	β	β	PROPN
ejpam-5907	353	32	f(ζ	f(ζ	PROPN
ejpam-5907	353	33	)	)	PUNCT
ejpam-5907	353	34	,	,	PUNCT
ejpam-5907	353	35	ζ	ζ	NOUN
ejpam-5907	353	36	)	)	PUNCT
ejpam-5907	353	37	is	be	AUX
ejpam-5907	353	38	univalent	univalent	ADJ
ejpam-5907	353	39	in	in	ADP
ejpam-5907	353	40	∆	∆	PROPN
ejpam-5907	353	41	and	and	CCONJ
ejpam-5907	353	42	h1(ζ	h1(ζ	PROPN
ejpam-5907	353	43	)	)	PUNCT
ejpam-5907	353	44	≺	≺	NOUN
ejpam-5907	353	45	φ	φ	X
ejpam-5907	353	46	(	(	PUNCT
ejpam-5907	353	47	σ	σ	PROPN
ejpam-5907	353	48	αq	αq	PROPN
ejpam-5907	353	49	µ	µ	NOUN
ejpam-5907	353	50	βf(ζ	βf(ζ	NUM
ejpam-5907	353	51	)	)	PUNCT
ejpam-5907	353	52	,	,	PUNCT
ejpam-5907	353	53	σ	σ	PROPN
ejpam-5907	353	54	αq	αq	ADP
ejpam-5907	353	55	µ+1	µ+1	PRON
ejpam-5907	353	56	β	β	X
ejpam-5907	353	57	f(ζ	f(ζ	PROPN
ejpam-5907	353	58	)	)	PUNCT
ejpam-5907	353	59	,	,	PUNCT
ejpam-5907	353	60	σαq	σαq	PROPN
ejpam-5907	353	61	µ+2	µ+2	PROPN
ejpam-5907	353	62	β	β	PROPN
ejpam-5907	353	63	f(ζ	f(ζ	PROPN
ejpam-5907	353	64	)	)	PUNCT
ejpam-5907	353	65	,	,	PUNCT
ejpam-5907	353	66	ζ	ζ	NOUN
ejpam-5907	353	67	)	)	PUNCT
ejpam-5907	353	68	≺	≺	NOUN
ejpam-5907	353	69	h2(ζ	h2(ζ	PRON
ejpam-5907	353	70	)	)	PUNCT
ejpam-5907	353	71	,	,	PUNCT
ejpam-5907	353	72	then	then	ADV
ejpam-5907	353	73	,	,	PUNCT
ejpam-5907	353	74	we	we	PRON
ejpam-5907	353	75	have	have	VERB
ejpam-5907	353	76	γ1(ζ	γ1(ζ	NUM
ejpam-5907	353	77	)	)	PUNCT
ejpam-5907	353	78	≺	≺	NOUN
ejpam-5907	353	79	σ	σ	PROPN
ejpam-5907	353	80	αq	αq	ADP
ejpam-5907	353	81	µ	µ	X
ejpam-5907	353	82	βf(ζ	βf(ζ	NUM
ejpam-5907	353	83	)	)	PUNCT
ejpam-5907	353	84	≺	≺	NOUN
ejpam-5907	353	85	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	353	86	)	)	PUNCT
ejpam-5907	353	87	.	.	PUNCT
ejpam-5907	354	1	proof	proof	NOUN
ejpam-5907	354	2	.	.	PUNCT
ejpam-5907	355	1	we	we	PRON
ejpam-5907	355	2	can	can	AUX
ejpam-5907	355	3	combine	combine	VERB
ejpam-5907	355	4	theorems	theorem	NOUN
ejpam-5907	355	5	3	3	NUM
ejpam-5907	355	6	and	and	CCONJ
ejpam-5907	355	7	11	11	NUM
ejpam-5907	355	8	,	,	PUNCT
ejpam-5907	355	9	and	and	CCONJ
ejpam-5907	355	10	then	then	ADV
ejpam-5907	355	11	obtain	obtain	VERB
ejpam-5907	355	12	theorem	theorem	ADJ
ejpam-5907	355	13	18	18	NUM
ejpam-5907	355	14	.	.	PUNCT
ejpam-5907	355	15	theorem	theorem	NOUN
ejpam-5907	355	16	19	19	NUM
ejpam-5907	355	17	.	.	PUNCT
ejpam-5907	356	1	let	let	VERB
ejpam-5907	356	2	k	k	PROPN
ejpam-5907	356	3	∈	∈	PROPN
ejpam-5907	356	4	{	{	PUNCT
ejpam-5907	356	5	2	2	NUM
ejpam-5907	356	6	,	,	PUNCT
ejpam-5907	356	7	3	3	NUM
ejpam-5907	356	8	,	,	PUNCT
ejpam-5907	356	9	4	4	NUM
ejpam-5907	356	10	,	,	PUNCT
ejpam-5907	356	11	...	...	PUNCT
ejpam-5907	356	12	}	}	PUNCT
ejpam-5907	356	13	,	,	PUNCT
ejpam-5907	356	14	0	0	NUM
ejpam-5907	356	15	<	<	X
ejpam-5907	356	16	ρ	ρ	X
ejpam-5907	356	17	<	<	X
ejpam-5907	356	18	1	1	NUM
ejpam-5907	356	19	and	and	CCONJ
ejpam-5907	356	20	h1	h1	PROPN
ejpam-5907	356	21	,	,	PUNCT
ejpam-5907	356	22	h2	h2	PROPN
ejpam-5907	356	23	be	be	AUX
ejpam-5907	356	24	two	two	NUM
ejpam-5907	356	25	conformal	conformal	ADJ
ejpam-5907	356	26	mapping	mapping	NOUN
ejpam-5907	356	27	of	of	ADP
ejpam-5907	356	28	∆	∆	PROPN
ejpam-5907	356	29	onto	onto	ADP
ejpam-5907	356	30	ω	ω	PROPN
ejpam-5907	356	31	satisfying	satisfy	VERB
ejpam-5907	356	32	the	the	DET
ejpam-5907	356	33	conditions	condition	NOUN
ejpam-5907	356	34	h1ρ(ζ	h1ρ(ζ	NOUN
ejpam-5907	356	35	)	)	PUNCT
ejpam-5907	356	36	=	=	SYM
ejpam-5907	357	1	h1(ρζ	h1(ρζ	PROPN
ejpam-5907	357	2	)	)	PUNCT
ejpam-5907	357	3	and	and	CCONJ
ejpam-5907	357	4	h2ρ(ζ	h2ρ(ζ	PROPN
ejpam-5907	357	5	)	)	PUNCT
ejpam-5907	357	6	=	=	PUNCT
ejpam-5907	358	1	h2(ρζ	h2(ρζ	PROPN
ejpam-5907	358	2	)	)	PUNCT
ejpam-5907	358	3	.	.	PUNCT
ejpam-5907	359	1	let	let	VERB
ejpam-5907	359	2	γ1	γ1	NOUN
ejpam-5907	359	3	and	and	CCONJ
ejpam-5907	359	4	γ2	γ2	PROPN
ejpam-5907	359	5	be	be	AUX
ejpam-5907	359	6	two	two	NUM
ejpam-5907	359	7	analytic	analytic	ADJ
ejpam-5907	359	8	functions	function	NOUN
ejpam-5907	359	9	in	in	ADP
ejpam-5907	359	10	∆	∆	PROPN
ejpam-5907	359	11	with	with	ADP
ejpam-5907	359	12	γ1(0	γ1(0	PROPN
ejpam-5907	359	13	)	)	PUNCT
ejpam-5907	360	1	=	=	SYM
ejpam-5907	360	2	γ2(0	γ2(0	PROPN
ejpam-5907	360	3	)	)	PUNCT
ejpam-5907	360	4	=	=	SYM
ejpam-5907	360	5	0	0	PUNCT
ejpam-5907	361	1	satisfying	satisfy	VERB
ejpam-5907	361	2	the	the	DET
ejpam-5907	361	3	conditions	condition	NOUN
ejpam-5907	361	4	,	,	PUNCT
ejpam-5907	361	5	γ1ρ(ζ	γ1ρ(ζ	PROPN
ejpam-5907	361	6	)	)	PUNCT
ejpam-5907	361	7	=	=	SYM
ejpam-5907	361	8	γ1(ρζ	γ1(ρζ	PROPN
ejpam-5907	361	9	)	)	PUNCT
ejpam-5907	361	10	.	.	PUNCT
ejpam-5907	362	1	suppose	suppose	VERB
ejpam-5907	362	2	that	that	SCONJ
ejpam-5907	362	3	the	the	DET
ejpam-5907	362	4	differential	differential	ADJ
ejpam-5907	362	5	equation	equation	NOUN
ejpam-5907	362	6	φ	φ	PROPN
ejpam-5907	362	7	(	(	PUNCT
ejpam-5907	362	8	σ	σ	PROPN
ejpam-5907	362	9	αq	αq	PROPN
ejpam-5907	362	10	µ	µ	NOUN
ejpam-5907	362	11	βf(ζ	βf(ζ	NUM
ejpam-5907	362	12	)	)	PUNCT
ejpam-5907	362	13	,	,	PUNCT
ejpam-5907	362	14	kζ	kζ	VERB
ejpam-5907	362	15	k−1σ	k−1σ	PROPN
ejpam-5907	362	16	αq	αq	ADP
ejpam-5907	362	17	µ+1	µ+1	PROPN
ejpam-5907	362	18	β	β	X
ejpam-5907	362	19	f(ζ	f(ζ	PROPN
ejpam-5907	362	20	)	)	PUNCT
ejpam-5907	362	21	,	,	PUNCT
ejpam-5907	362	22	k2ζ2(k−1)σ	k2ζ2(k−1)σ	PROPN
ejpam-5907	362	23	αq	αq	PROPN
ejpam-5907	362	24	µ+2	µ+2	PROPN
ejpam-5907	362	25	β	β	PROPN
ejpam-5907	362	26	f(ζ	f(ζ	PROPN
ejpam-5907	362	27	)	)	PUNCT
ejpam-5907	362	28	;	;	PUNCT
ejpam-5907	362	29	ζ	ζ	X
ejpam-5907	362	30	)	)	PUNCT
ejpam-5907	362	31	=	=	PUNCT
ejpam-5907	363	1	h1(ζ	h1(ζ	PROPN
ejpam-5907	363	2	)	)	PUNCT
ejpam-5907	363	3	,	,	PUNCT
ejpam-5907	363	4	has	have	VERB
ejpam-5907	363	5	a	a	DET
ejpam-5907	363	6	solution	solution	NOUN
ejpam-5907	363	7	γ1(ζ	γ1(ζ	NUM
ejpam-5907	363	8	)	)	PUNCT
ejpam-5907	363	9	and	and	CCONJ
ejpam-5907	363	10	φ	φ	PROPN
ejpam-5907	363	11	(	(	PUNCT
ejpam-5907	363	12	σ	σ	PROPN
ejpam-5907	363	13	αq	αq	PROPN
ejpam-5907	363	14	µ	µ	NOUN
ejpam-5907	363	15	βf(ζ	βf(ζ	NUM
ejpam-5907	363	16	)	)	PUNCT
ejpam-5907	363	17	,	,	PUNCT
ejpam-5907	363	18	kζ	kζ	VERB
ejpam-5907	363	19	k−1σ	k−1σ	PROPN
ejpam-5907	363	20	αq	αq	ADP
ejpam-5907	363	21	µ+1	µ+1	PROPN
ejpam-5907	363	22	β	β	X
ejpam-5907	363	23	f(ζ	f(ζ	PROPN
ejpam-5907	363	24	)	)	PUNCT
ejpam-5907	363	25	,	,	PUNCT
ejpam-5907	363	26	k2ζ2(k−1)σ	k2ζ2(k−1)σ	PROPN
ejpam-5907	363	27	αq	αq	PROPN
ejpam-5907	363	28	µ+2	µ+2	PROPN
ejpam-5907	363	29	β	β	PROPN
ejpam-5907	363	30	f(ζ	f(ζ	PROPN
ejpam-5907	363	31	)	)	PUNCT
ejpam-5907	363	32	;	;	PUNCT
ejpam-5907	363	33	ζ	ζ	X
ejpam-5907	363	34	)	)	PUNCT
ejpam-5907	363	35	=	=	SYM
ejpam-5907	363	36	h2(ζ	h2(ζ	PROPN
ejpam-5907	363	37	)	)	PUNCT
ejpam-5907	363	38	,	,	PUNCT
ejpam-5907	363	39	has	have	VERB
ejpam-5907	363	40	a	a	DET
ejpam-5907	363	41	solution	solution	NOUN
ejpam-5907	363	42	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	363	43	)	)	PUNCT
ejpam-5907	363	44	and	and	CCONJ
ejpam-5907	363	45	one	one	NUM
ejpam-5907	363	46	of	of	ADP
ejpam-5907	363	47	the	the	DET
ejpam-5907	363	48	following	follow	VERB
ejpam-5907	363	49	conditions	condition	NOUN
ejpam-5907	363	50	is	be	AUX
ejpam-5907	363	51	satisfied	satisfied	ADJ
ejpam-5907	363	52	:	:	PUNCT
ejpam-5907	363	53	(	(	PUNCT
ejpam-5907	363	54	i	i	NOUN
ejpam-5907	363	55	)	)	PUNCT
ejpam-5907	363	56	γ1	γ1	PROPN
ejpam-5907	363	57	,	,	PUNCT
ejpam-5907	363	58	γ2	γ2	PROPN
ejpam-5907	363	59	∈	∈	PROPN
ejpam-5907	363	60	h	h	NOUN
ejpam-5907	363	61	and	and	CCONJ
ejpam-5907	363	62	φ	φ	PROPN
ejpam-5907	363	63	∈	∈	PROPN
ejpam-5907	363	64	ψ′(h1	ψ′(h1	PROPN
ejpam-5907	363	65	,	,	PUNCT
ejpam-5907	363	66	γ1	γ1	PROPN
ejpam-5907	363	67	)	)	PUNCT
ejpam-5907	363	68	⋂	⋂	PROPN
ejpam-5907	363	69	φ′(h2	φ′(h2	NOUN
ejpam-5907	363	70	,	,	PUNCT
ejpam-5907	363	71	γ2	γ2	PROPN
ejpam-5907	363	72	)	)	PUNCT
ejpam-5907	363	73	,	,	PUNCT
ejpam-5907	363	74	(	(	PUNCT
ejpam-5907	363	75	ii	ii	NOUN
ejpam-5907	363	76	)	)	PUNCT
ejpam-5907	363	77	γ1	γ1	NOUN
ejpam-5907	363	78	,	,	PUNCT
ejpam-5907	363	79	γ2	γ2	PROPN
ejpam-5907	363	80	∈	∈	PROPN
ejpam-5907	363	81	s	s	PART
ejpam-5907	363	82	and	and	CCONJ
ejpam-5907	363	83	φ	φ	PROPN
ejpam-5907	363	84	∈	∈	PROPN
ejpam-5907	363	85	ψ′(h1	ψ′(h1	PROPN
ejpam-5907	363	86	,	,	PUNCT
ejpam-5907	363	87	γ1ρ	γ1ρ	PROPN
ejpam-5907	363	88	)	)	PUNCT
ejpam-5907	363	89	⋂	⋂	PROPN
ejpam-5907	363	90	φ′(h2	φ′(h2	NOUN
ejpam-5907	363	91	,	,	PUNCT
ejpam-5907	363	92	γ2ρ	γ2ρ	NOUN
ejpam-5907	363	93	)	)	PUNCT
ejpam-5907	363	94	,	,	PUNCT
ejpam-5907	363	95	or	or	CCONJ
ejpam-5907	363	96	(	(	PUNCT
ejpam-5907	363	97	ii	ii	NOUN
ejpam-5907	363	98	)	)	PUNCT
ejpam-5907	363	99	γ1	γ1	NOUN
ejpam-5907	363	100	,	,	PUNCT
ejpam-5907	363	101	γ2	γ2	PROPN
ejpam-5907	363	102	∈	∈	PROPN
ejpam-5907	363	103	s	s	PART
ejpam-5907	363	104	and	and	CCONJ
ejpam-5907	363	105	there	there	PRON
ejpam-5907	363	106	exists	exist	VERB
ejpam-5907	363	107	ρ0	ρ0	PROPN
ejpam-5907	363	108	∈	∈	PROPN
ejpam-5907	363	109	(	(	PUNCT
ejpam-5907	363	110	0	0	NUM
ejpam-5907	363	111	,	,	PUNCT
ejpam-5907	363	112	1	1	NUM
ejpam-5907	363	113	)	)	PUNCT
ejpam-5907	363	114	such	such	ADJ
ejpam-5907	363	115	that	that	SCONJ
ejpam-5907	363	116	φ	φ	PROPN
ejpam-5907	363	117	∈	∈	PROPN
ejpam-5907	363	118	ψ′(h1ρ	ψ′(h1ρ	NOUN
ejpam-5907	363	119	,	,	PUNCT
ejpam-5907	363	120	γ1ρ	γ1ρ	PROPN
ejpam-5907	363	121	)	)	PUNCT
ejpam-5907	363	122	⋂	⋂	PROPN
ejpam-5907	363	123	φ′(h2ρ	φ′(h2ρ	PROPN
ejpam-5907	363	124	,	,	PUNCT
ejpam-5907	363	125	γ2ρ	γ2ρ	NOUN
ejpam-5907	363	126	)	)	PUNCT
ejpam-5907	363	127	for	for	ADP
ejpam-5907	363	128	all	all	DET
ejpam-5907	363	129	ρ	ρ	NUM
ejpam-5907	363	130	∈	∈	PROPN
ejpam-5907	363	131	(	(	PUNCT
ejpam-5907	363	132	0	0	NUM
ejpam-5907	363	133	,	,	PUNCT
ejpam-5907	363	134	1	1	NUM
ejpam-5907	363	135	)	)	PUNCT
ejpam-5907	363	136	.	.	PUNCT
ejpam-5907	364	1	if	if	SCONJ
ejpam-5907	364	2	p(ζ	p(ζ	PROPN
ejpam-5907	364	3	)	)	PUNCT
ejpam-5907	364	4	=	=	SYM
ejpam-5907	364	5	σ	σ	PROPN
ejpam-5907	364	6	αq	αq	ADP
ejpam-5907	364	7	µ	µ	X
ejpam-5907	364	8	βf(ζ	βf(ζ	X
ejpam-5907	364	9	k	k	NOUN
ejpam-5907	364	10	)	)	PUNCT
ejpam-5907	364	11	,	,	PUNCT
ejpam-5907	364	12	and	and	CCONJ
ejpam-5907	364	13	φ(p(ζ	φ(p(ζ	PROPN
ejpam-5907	364	14	)	)	PUNCT
ejpam-5907	364	15	,	,	PUNCT
ejpam-5907	364	16	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	364	17	)	)	PUNCT
ejpam-5907	364	18	,	,	PUNCT
ejpam-5907	364	19	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	364	20	)	)	PUNCT
ejpam-5907	364	21	;	;	PUNCT
ejpam-5907	364	22	ζ	ζ	X
ejpam-5907	364	23	)	)	PUNCT
ejpam-5907	364	24	∈	∈	PROPN
ejpam-5907	364	25	a	a	DET
ejpam-5907	364	26	such	such	ADJ
ejpam-5907	364	27	that	that	SCONJ
ejpam-5907	364	28	h1(ζ	h1(ζ	PROPN
ejpam-5907	364	29	)	)	PUNCT
ejpam-5907	364	30	≺	≺	NOUN
ejpam-5907	364	31	φ(p(ζ	φ(p(ζ	PROPN
ejpam-5907	364	32	)	)	PUNCT
ejpam-5907	364	33	,	,	PUNCT
ejpam-5907	364	34	ζp′(ζ	ζp′(ζ	NOUN
ejpam-5907	364	35	)	)	PUNCT
ejpam-5907	364	36	,	,	PUNCT
ejpam-5907	364	37	ζ2p′′(ζ	ζ2p′′(ζ	NOUN
ejpam-5907	364	38	)	)	PUNCT
ejpam-5907	364	39	;	;	PUNCT
ejpam-5907	364	40	ζ	ζ	X
ejpam-5907	364	41	)	)	PUNCT
ejpam-5907	364	42	≺	≺	NOUN
ejpam-5907	364	43	h2(ζ	h2(ζ	PRON
ejpam-5907	364	44	)	)	PUNCT
ejpam-5907	364	45	,	,	PUNCT
ejpam-5907	364	46	then	then	ADV
ejpam-5907	364	47	γ1(ζ	γ1(ζ	NUM
ejpam-5907	364	48	)	)	PUNCT
ejpam-5907	364	49	≺	≺	NOUN
ejpam-5907	364	50	p(ζ	p(ζ	PROPN
ejpam-5907	364	51	)	)	PUNCT
ejpam-5907	364	52	≺	≺	NOUN
ejpam-5907	364	53	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	364	54	)	)	PUNCT
ejpam-5907	364	55	and	and	CCONJ
ejpam-5907	364	56	γ1	γ1	PROPN
ejpam-5907	364	57	,	,	PUNCT
ejpam-5907	364	58	γ2	γ2	PROPN
ejpam-5907	364	59	are	be	AUX
ejpam-5907	364	60	the	the	DET
ejpam-5907	364	61	best	good	ADJ
ejpam-5907	364	62	dominant	dominant	ADJ
ejpam-5907	364	63	.	.	PUNCT
ejpam-5907	365	1	proof	proof	NOUN
ejpam-5907	365	2	.	.	PUNCT
ejpam-5907	366	1	we	we	PRON
ejpam-5907	366	2	can	can	AUX
ejpam-5907	366	3	combine	combine	VERB
ejpam-5907	366	4	theorems	theorem	NOUN
ejpam-5907	366	5	4	4	NUM
ejpam-5907	366	6	and	and	CCONJ
ejpam-5907	366	7	12	12	NUM
ejpam-5907	366	8	and	and	CCONJ
ejpam-5907	366	9	obtain	obtain	AUX
ejpam-5907	366	10	theorem	theorem	ADJ
ejpam-5907	366	11	19	19	NUM
ejpam-5907	366	12	.	.	PUNCT
ejpam-5907	366	13	e.	e.	PROPN
ejpam-5907	366	14	amini	amini	PROPN
ejpam-5907	366	15	,	,	PUNCT
ejpam-5907	366	16	s.	s.	PROPN
ejpam-5907	366	17	al	al	PROPN
ejpam-5907	366	18	-	-	PUNCT
ejpam-5907	366	19	omari	omari	PROPN
ejpam-5907	366	20	,	,	PUNCT
ejpam-5907	366	21	m.	m.	NOUN
ejpam-5907	366	22	khandaqji	khandaqji	PROPN
ejpam-5907	366	23	/	/	SYM
ejpam-5907	366	24	eur	eur	PROPN
ejpam-5907	366	25	.	.	PUNCT
ejpam-5907	367	1	j.	j.	PROPN
ejpam-5907	367	2	pure	pure	PROPN
ejpam-5907	367	3	appl	appl	PROPN
ejpam-5907	367	4	.	.	PROPN
ejpam-5907	367	5	math	math	PROPN
ejpam-5907	367	6	,	,	PUNCT
ejpam-5907	367	7	18	18	NUM
ejpam-5907	367	8	(	(	PUNCT
ejpam-5907	367	9	2	2	NUM
ejpam-5907	367	10	)	)	PUNCT
ejpam-5907	367	11	(	(	PUNCT
ejpam-5907	367	12	2025	2025	NUM
ejpam-5907	367	13	)	)	PUNCT
ejpam-5907	367	14	,	,	PUNCT
ejpam-5907	367	15	5907	5907	NUM
ejpam-5907	367	16	20	20	NUM
ejpam-5907	367	17	of	of	ADP
ejpam-5907	367	18	22	22	NUM
ejpam-5907	367	19	theorem	theorem	NOUN
ejpam-5907	367	20	20	20	NUM
ejpam-5907	367	21	.	.	PUNCT
ejpam-5907	368	1	let	let	VERB
ejpam-5907	368	2	h1(ζ	h1(ζ	NOUN
ejpam-5907	368	3	)	)	PUNCT
ejpam-5907	368	4	and	and	CCONJ
ejpam-5907	368	5	h2(ζ	h2(ζ	PRON
ejpam-5907	368	6	)	)	PUNCT
ejpam-5907	368	7	be	be	VERB
ejpam-5907	368	8	two	two	NUM
ejpam-5907	368	9	conformal	conformal	ADJ
ejpam-5907	368	10	mapping	mapping	NOUN
ejpam-5907	368	11	of	of	ADP
ejpam-5907	368	12	∆	∆	PROPN
ejpam-5907	368	13	onto	onto	ADP
ejpam-5907	368	14	c	c	PROPN
ejpam-5907	368	15	,	,	PUNCT
ejpam-5907	368	16	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	368	17	)	)	PUNCT
ejpam-5907	368	18	that	that	PRON
ejpam-5907	368	19	is	be	AUX
ejpam-5907	368	20	given	give	VERB
ejpam-5907	368	21	by	by	ADP
ejpam-5907	368	22	(	(	PUNCT
ejpam-5907	368	23	22	22	NUM
ejpam-5907	368	24	)	)	PUNCT
ejpam-5907	368	25	,	,	PUNCT
ejpam-5907	368	26	γ1(ζ	γ1(ζ	PROPN
ejpam-5907	368	27	)	)	PUNCT
ejpam-5907	368	28	that	that	PRON
ejpam-5907	368	29	is	be	AUX
ejpam-5907	368	30	given	give	VERB
ejpam-5907	368	31	by	by	ADP
ejpam-5907	368	32	(	(	PUNCT
ejpam-5907	368	33	29	29	NUM
ejpam-5907	368	34	)	)	PUNCT
ejpam-5907	368	35	,	,	PUNCT
ejpam-5907	368	36	φ	φ	PROPN
ejpam-5907	368	37	∈	∈	PROPN
ejpam-5907	368	38	ψ′(∆	ψ′(∆	PROPN
ejpam-5907	368	39	,	,	PUNCT
ejpam-5907	368	40	γ2	γ2	ADJ
ejpam-5907	368	41	)	)	PUNCT
ejpam-5907	368	42	⋂	⋂	PROPN
ejpam-5907	368	43	φ′(∆	φ′(∆	PROPN
ejpam-5907	368	44	,	,	PUNCT
ejpam-5907	368	45	γ1	γ1	PROPN
ejpam-5907	368	46	)	)	PUNCT
ejpam-5907	368	47	,	,	PUNCT
ejpam-5907	368	48	µ	µ	PROPN
ejpam-5907	368	49	∈	∈	PROPN
ejpam-5907	368	50	c	c	X
ejpam-5907	368	51	,	,	PUNCT
ejpam-5907	368	52	(	(	PUNCT
ejpam-5907	368	53	µ	µ	X
ejpam-5907	368	54	̸=	̸=	PROPN
ejpam-5907	368	55	0	0	NUM
ejpam-5907	368	56	,	,	PUNCT
ejpam-5907	368	57	1	1	NUM
ejpam-5907	368	58	)	)	PUNCT
ejpam-5907	368	59	and	and	CCONJ
ejpam-5907	368	60	φ	φ	PROPN
ejpam-5907	368	61	(	(	PUNCT
ejpam-5907	368	62	σ	σ	PROPN
ejpam-5907	368	63	αq	αq	PROPN
ejpam-5907	368	64	µ	µ	NOUN
ejpam-5907	368	65	βf(ζ	βf(ζ	NUM
ejpam-5907	368	66	)	)	PUNCT
ejpam-5907	368	67	,	,	PUNCT
ejpam-5907	368	68	σ	σ	PROPN
ejpam-5907	368	69	αq	αq	ADP
ejpam-5907	368	70	µ+1	µ+1	PRON
ejpam-5907	368	71	β	β	X
ejpam-5907	368	72	f(ζ	f(ζ	PROPN
ejpam-5907	368	73	)	)	PUNCT
ejpam-5907	368	74	,	,	PUNCT
ejpam-5907	368	75	σαq	σαq	PROPN
ejpam-5907	368	76	µ+2	µ+2	PROPN
ejpam-5907	368	77	β	β	PROPN
ejpam-5907	368	78	f(ζ	f(ζ	PROPN
ejpam-5907	368	79	)	)	PUNCT
ejpam-5907	368	80	,	,	PUNCT
ejpam-5907	368	81	ζ	ζ	NOUN
ejpam-5907	368	82	)	)	PUNCT
ejpam-5907	368	83	is	be	AUX
ejpam-5907	368	84	univalent	univalent	ADJ
ejpam-5907	368	85	in	in	ADP
ejpam-5907	368	86	∆.	∆.	PROPN
ejpam-5907	368	87	if	if	SCONJ
ejpam-5907	368	88	h1(ζ	h1(ζ	NOUN
ejpam-5907	368	89	)	)	PUNCT
ejpam-5907	368	90	≺	≺	NOUN
ejpam-5907	368	91	ψ′	ψ′	NUM
ejpam-5907	368	92	(	(	PUNCT
ejpam-5907	368	93	σ	σ	PROPN
ejpam-5907	368	94	αq	αq	PROPN
ejpam-5907	368	95	µ	µ	NOUN
ejpam-5907	368	96	βf(ζ	βf(ζ	NUM
ejpam-5907	368	97	)	)	PUNCT
ejpam-5907	368	98	,	,	PUNCT
ejpam-5907	368	99	σ	σ	PROPN
ejpam-5907	368	100	αq	αq	ADP
ejpam-5907	368	101	µ+1	µ+1	PRON
ejpam-5907	368	102	β	β	X
ejpam-5907	368	103	f(ζ	f(ζ	PROPN
ejpam-5907	368	104	)	)	PUNCT
ejpam-5907	368	105	,	,	PUNCT
ejpam-5907	368	106	σαq	σαq	PROPN
ejpam-5907	368	107	µ+2	µ+2	PROPN
ejpam-5907	368	108	β	β	PROPN
ejpam-5907	368	109	f(ζ	f(ζ	PROPN
ejpam-5907	368	110	)	)	PUNCT
ejpam-5907	368	111	,	,	PUNCT
ejpam-5907	368	112	ζ	ζ	NOUN
ejpam-5907	368	113	)	)	PUNCT
ejpam-5907	368	114	≺	≺	NOUN
ejpam-5907	368	115	h2(ζ	h2(ζ	PRON
ejpam-5907	368	116	)	)	PUNCT
ejpam-5907	368	117	,	,	PUNCT
ejpam-5907	368	118	then	then	ADV
ejpam-5907	368	119	we	we	PRON
ejpam-5907	368	120	have	have	VERB
ejpam-5907	368	121	1	1	NUM
ejpam-5907	368	122	eλ	eλ	NOUN
ejpam-5907	368	123	≤	≤	NUM
ejpam-5907	368	124	∣∣∣σαqµ	∣∣∣σαqµ	PROPN
ejpam-5907	368	125	βf(ζ	βf(ζ	PUNCT
ejpam-5907	368	126	)	)	PUNCT
ejpam-5907	368	127	∣∣∣	∣∣∣	NOUN
ejpam-5907	368	128	≤	≤	NUM
ejpam-5907	368	129	1	1	NUM
ejpam-5907	368	130	+	+	SYM
ejpam-5907	368	131	|β1|	|β1|	NOUN
ejpam-5907	368	132	,	,	PUNCT
ejpam-5907	368	133	(	(	PUNCT
ejpam-5907	368	134	34	34	NUM
ejpam-5907	368	135	)	)	PUNCT
ejpam-5907	368	136	for	for	ADP
ejpam-5907	368	137	all	all	DET
ejpam-5907	368	138	ζ	ζ	NOUN
ejpam-5907	368	139	in	in	ADP
ejpam-5907	368	140	the	the	DET
ejpam-5907	368	141	disc	disc	NOUN
ejpam-5907	368	142	|ζ|	|ζ|	NOUN
ejpam-5907	368	143	≤	≤	NOUN
ejpam-5907	368	144	1	1	NUM
ejpam-5907	368	145	2(3−	2(3−	NUM
ejpam-5907	368	146	√	√	NUM
ejpam-5907	368	147	5	5	NUM
ejpam-5907	368	148	)	)	PUNCT
ejpam-5907	368	149	,	,	PUNCT
ejpam-5907	368	150	0	0	PUNCT
ejpam-5907	369	1	<	<	X
ejpam-5907	369	2	λ	λ	X
ejpam-5907	369	3	<	<	X
ejpam-5907	369	4	1	1	NUM
ejpam-5907	369	5	and	and	CCONJ
ejpam-5907	369	6	|β1|	|β1|	VERB
ejpam-5907	369	7	<	<	X
ejpam-5907	369	8	1	1	X
ejpam-5907	369	9	.	.	PUNCT
ejpam-5907	370	1	this	this	DET
ejpam-5907	370	2	radius	radius	NOUN
ejpam-5907	370	3	is	be	AUX
ejpam-5907	370	4	best	well	ADV
ejpam-5907	370	5	possible	possible	ADJ
ejpam-5907	370	6	.	.	PUNCT
ejpam-5907	371	1	proof	proof	NOUN
ejpam-5907	371	2	.	.	PUNCT
ejpam-5907	372	1	we	we	PRON
ejpam-5907	372	2	can	can	AUX
ejpam-5907	372	3	combine	combine	VERB
ejpam-5907	372	4	theorems	theorem	NOUN
ejpam-5907	372	5	6	6	NUM
ejpam-5907	372	6	and	and	CCONJ
ejpam-5907	372	7	14	14	NUM
ejpam-5907	372	8	and	and	CCONJ
ejpam-5907	372	9	obtain	obtain	VERB
ejpam-5907	372	10	theorem	theorem	ADJ
ejpam-5907	372	11	20	20	NUM
ejpam-5907	372	12	.	.	PUNCT
ejpam-5907	373	1	theorem	theorem	NOUN
ejpam-5907	373	2	21	21	NUM
ejpam-5907	373	3	.	.	PUNCT
ejpam-5907	374	1	let	let	VERB
ejpam-5907	374	2	h1(ζ	h1(ζ	NOUN
ejpam-5907	374	3	)	)	PUNCT
ejpam-5907	374	4	and	and	CCONJ
ejpam-5907	374	5	h2(ζ	h2(ζ	PRON
ejpam-5907	374	6	)	)	PUNCT
ejpam-5907	374	7	be	be	VERB
ejpam-5907	374	8	two	two	NUM
ejpam-5907	374	9	conformal	conformal	ADJ
ejpam-5907	374	10	mapping	mapping	NOUN
ejpam-5907	374	11	of	of	ADP
ejpam-5907	374	12	∆	∆	PROPN
ejpam-5907	374	13	onto	onto	ADP
ejpam-5907	374	14	c	c	PROPN
ejpam-5907	374	15	,	,	PUNCT
ejpam-5907	374	16	γ2(ζ	γ2(ζ	NOUN
ejpam-5907	374	17	)	)	PUNCT
ejpam-5907	374	18	given	give	VERB
ejpam-5907	374	19	by	by	ADP
ejpam-5907	374	20	(	(	PUNCT
ejpam-5907	374	21	22	22	NUM
ejpam-5907	374	22	)	)	PUNCT
ejpam-5907	374	23	,	,	PUNCT
ejpam-5907	374	24	γ1(ζ	γ1(ζ	PROPN
ejpam-5907	374	25	)	)	PUNCT
ejpam-5907	374	26	is	be	AUX
ejpam-5907	374	27	given	give	VERB
ejpam-5907	374	28	by	by	ADP
ejpam-5907	374	29	(	(	PUNCT
ejpam-5907	374	30	29	29	NUM
ejpam-5907	374	31	)	)	PUNCT
ejpam-5907	374	32	,	,	PUNCT
ejpam-5907	374	33	φ	φ	PROPN
ejpam-5907	374	34	∈	∈	PROPN
ejpam-5907	374	35	ψ′(∆	ψ′(∆	PROPN
ejpam-5907	374	36	,	,	PUNCT
ejpam-5907	374	37	γ2	γ2	ADJ
ejpam-5907	374	38	)	)	PUNCT
ejpam-5907	374	39	⋂	⋂	PROPN
ejpam-5907	374	40	φ′(∆	φ′(∆	PROPN
ejpam-5907	374	41	,	,	PUNCT
ejpam-5907	374	42	γ1	γ1	PROPN
ejpam-5907	374	43	)	)	PUNCT
ejpam-5907	374	44	,	,	PUNCT
ejpam-5907	374	45	µ	µ	PROPN
ejpam-5907	374	46	∈	∈	PROPN
ejpam-5907	374	47	c	c	X
ejpam-5907	374	48	,	,	PUNCT
ejpam-5907	374	49	(	(	PUNCT
ejpam-5907	374	50	µ	µ	X
ejpam-5907	374	51	̸=	̸=	PROPN
ejpam-5907	374	52	0	0	NUM
ejpam-5907	374	53	,	,	PUNCT
ejpam-5907	374	54	1	1	NUM
ejpam-5907	374	55	)	)	PUNCT
ejpam-5907	374	56	and	and	CCONJ
ejpam-5907	374	57	φ	φ	PROPN
ejpam-5907	374	58	(	(	PUNCT
ejpam-5907	374	59	σ	σ	PROPN
ejpam-5907	374	60	αq	αq	PROPN
ejpam-5907	374	61	µ	µ	NOUN
ejpam-5907	374	62	βf(ζ	βf(ζ	NUM
ejpam-5907	374	63	)	)	PUNCT
ejpam-5907	374	64	,	,	PUNCT
ejpam-5907	374	65	σ	σ	PROPN
ejpam-5907	374	66	αq	αq	ADP
ejpam-5907	374	67	µ+1	µ+1	PRON
ejpam-5907	374	68	β	β	X
ejpam-5907	374	69	f(ζ	f(ζ	PROPN
ejpam-5907	374	70	)	)	PUNCT
ejpam-5907	374	71	,	,	PUNCT
ejpam-5907	374	72	σαq	σαq	PROPN
ejpam-5907	374	73	µ+2	µ+2	PROPN
ejpam-5907	374	74	β	β	PROPN
ejpam-5907	374	75	f(ζ	f(ζ	PROPN
ejpam-5907	374	76	)	)	PUNCT
ejpam-5907	374	77	,	,	PUNCT
ejpam-5907	374	78	ζ	ζ	NOUN
ejpam-5907	374	79	)	)	PUNCT
ejpam-5907	374	80	is	be	AUX
ejpam-5907	374	81	univalent	univalent	ADJ
ejpam-5907	374	82	in	in	ADP
ejpam-5907	374	83	∆.	∆.	PROPN
ejpam-5907	374	84	if	if	SCONJ
ejpam-5907	374	85	h1(ζ	h1(ζ	NOUN
ejpam-5907	374	86	)	)	PUNCT
ejpam-5907	374	87	≺	≺	NOUN
ejpam-5907	374	88	φ	φ	X
ejpam-5907	374	89	(	(	PUNCT
ejpam-5907	374	90	σ	σ	PROPN
ejpam-5907	374	91	αq	αq	PROPN
ejpam-5907	374	92	µ	µ	NOUN
ejpam-5907	374	93	βf(ζ	βf(ζ	NUM
ejpam-5907	374	94	)	)	PUNCT
ejpam-5907	374	95	,	,	PUNCT
ejpam-5907	374	96	σ	σ	PROPN
ejpam-5907	374	97	αq	αq	ADP
ejpam-5907	374	98	µ+1	µ+1	PRON
ejpam-5907	374	99	β	β	X
ejpam-5907	374	100	f(ζ	f(ζ	PROPN
ejpam-5907	374	101	)	)	PUNCT
ejpam-5907	374	102	,	,	PUNCT
ejpam-5907	374	103	σαq	σαq	PROPN
ejpam-5907	374	104	µ+2	µ+2	PROPN
ejpam-5907	374	105	β	β	PROPN
ejpam-5907	374	106	f(ζ	f(ζ	PROPN
ejpam-5907	374	107	)	)	PUNCT
ejpam-5907	374	108	,	,	PUNCT
ejpam-5907	374	109	ζ	ζ	NOUN
ejpam-5907	374	110	)	)	PUNCT
ejpam-5907	374	111	≺	≺	NOUN
ejpam-5907	374	112	h2(ζ	h2(ζ	PRON
ejpam-5907	374	113	)	)	PUNCT
ejpam-5907	374	114	,	,	PUNCT
ejpam-5907	374	115	then	then	ADV
ejpam-5907	374	116	we	we	PRON
ejpam-5907	374	117	have	have	VERB
ejpam-5907	374	118	1−	1−	NUM
ejpam-5907	374	119	λ	λ	X
ejpam-5907	374	120	eλ	eλ	ADJ
ejpam-5907	374	121	≤	≤	ADJ
ejpam-5907	374	122	∣∣∣∣1ζ	∣∣∣∣1ζ	PROPN
ejpam-5907	375	1	[	[	X
ejpam-5907	375	2	µσαqµ+1	µσαqµ+1	NOUN
ejpam-5907	375	3	β	β	X
ejpam-5907	375	4	f(ζ)−	f(ζ)−	NOUN
ejpam-5907	375	5	(	(	PUNCT
ejpam-5907	375	6	µ−	µ−	PROPN
ejpam-5907	375	7	1)σαq	1)σαq	NUM
ejpam-5907	375	8	µ	µ	NOUN
ejpam-5907	375	9	βf(ζ	βf(ζ	NUM
ejpam-5907	375	10	)	)	PUNCT
ejpam-5907	375	11	]	]	PUNCT
ejpam-5907	375	12	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5907	375	13	≤	≤	NUM
ejpam-5907	375	14	1	1	NUM
ejpam-5907	375	15	+	+	CCONJ
ejpam-5907	375	16	2|β1|	2|β1|	NUM
ejpam-5907	375	17	,	,	PUNCT
ejpam-5907	375	18	(	(	PUNCT
ejpam-5907	375	19	35	35	NUM
ejpam-5907	375	20	)	)	PUNCT
ejpam-5907	375	21	for	for	ADP
ejpam-5907	375	22	all	all	DET
ejpam-5907	375	23	ζ	ζ	NOUN
ejpam-5907	375	24	in	in	ADP
ejpam-5907	375	25	the	the	DET
ejpam-5907	375	26	disc	disc	NOUN
ejpam-5907	375	27	|ζ|	|ζ|	NOUN
ejpam-5907	375	28	≤	≤	NOUN
ejpam-5907	375	29	1	1	NUM
ejpam-5907	375	30	2(3−	2(3−	NUM
ejpam-5907	375	31	√	√	NUM
ejpam-5907	375	32	8)	8)	NUM
ejpam-5907	375	33	,	,	PUNCT
ejpam-5907	375	34	0	0	PUNCT
ejpam-5907	375	35	<	<	X
ejpam-5907	375	36	λ	λ	X
ejpam-5907	375	37	<	<	X
ejpam-5907	375	38	1	1	NUM
ejpam-5907	375	39	and	and	CCONJ
ejpam-5907	375	40	|β1	|β1	PRON
ejpam-5907	375	41	<	<	X
ejpam-5907	375	42	1	1	X
ejpam-5907	375	43	.	.	PUNCT
ejpam-5907	376	1	this	this	DET
ejpam-5907	376	2	radius	radius	NOUN
ejpam-5907	376	3	is	be	AUX
ejpam-5907	376	4	best	well	ADV
ejpam-5907	376	5	possible	possible	ADJ
ejpam-5907	376	6	.	.	PUNCT
ejpam-5907	377	1	proof	proof	NOUN
ejpam-5907	377	2	.	.	PUNCT
ejpam-5907	378	1	we	we	PRON
ejpam-5907	378	2	can	can	AUX
ejpam-5907	378	3	combine	combine	VERB
ejpam-5907	378	4	theorems	theorem	NOUN
ejpam-5907	378	5	7	7	NUM
ejpam-5907	378	6	and	and	CCONJ
ejpam-5907	378	7	15	15	NUM
ejpam-5907	378	8	and	and	CCONJ
ejpam-5907	378	9	establish	establish	VERB
ejpam-5907	378	10	theorem	theorem	NOUN
ejpam-5907	378	11	21	21	NUM
ejpam-5907	378	12	.	.	NOUN
ejpam-5907	379	1	6	6	NUM
ejpam-5907	379	2	.	.	X
ejpam-5907	379	3	conclusion	conclusion	NOUN
ejpam-5907	379	4	in	in	ADP
ejpam-5907	379	5	this	this	DET
ejpam-5907	379	6	paper	paper	NOUN
ejpam-5907	379	7	,	,	PUNCT
ejpam-5907	379	8	new	new	ADJ
ejpam-5907	379	9	linear	linear	ADJ
ejpam-5907	379	10	operator	operator	NOUN
ejpam-5907	379	11	of	of	ADP
ejpam-5907	379	12	analytic	analytic	ADJ
ejpam-5907	379	13	univalent	univalent	ADJ
ejpam-5907	379	14	functions	function	NOUN
ejpam-5907	379	15	was	be	AUX
ejpam-5907	379	16	defined	define	VERB
ejpam-5907	379	17	by	by	ADP
ejpam-5907	379	18	the	the	DET
ejpam-5907	379	19	linear	linear	ADJ
ejpam-5907	379	20	mittag	mittag	ADJ
ejpam-5907	379	21	-	-	PUNCT
ejpam-5907	379	22	leffler	leffler	NOUN
ejpam-5907	379	23	and	and	CCONJ
ejpam-5907	379	24	the	the	DET
ejpam-5907	379	25	komatu	komatu	ADJ
ejpam-5907	379	26	integral	integral	ADJ
ejpam-5907	379	27	operators	operator	NOUN
ejpam-5907	379	28	.	.	PUNCT
ejpam-5907	380	1	several	several	ADJ
ejpam-5907	380	2	suitable	suitable	ADJ
ejpam-5907	380	3	classes	class	NOUN
ejpam-5907	380	4	of	of	ADP
ejpam-5907	380	5	admissible	admissible	ADJ
ejpam-5907	380	6	functions	function	NOUN
ejpam-5907	380	7	are	be	AUX
ejpam-5907	380	8	defined	define	VERB
ejpam-5907	380	9	.	.	PUNCT
ejpam-5907	381	1	some	some	DET
ejpam-5907	381	2	reliable	reliable	ADJ
ejpam-5907	381	3	results	result	NOUN
ejpam-5907	381	4	for	for	ADP
ejpam-5907	381	5	the	the	DET
ejpam-5907	381	6	two	two	NUM
ejpam-5907	381	7	-	-	PUNCT
ejpam-5907	381	8	order	order	NOUN
ejpam-5907	381	9	differential	differential	NOUN
ejpam-5907	381	10	subordinations	subordination	NOUN
ejpam-5907	381	11	and	and	CCONJ
ejpam-5907	381	12	superordinations	superordination	NOUN
ejpam-5907	381	13	are	be	AUX
ejpam-5907	381	14	presented	present	VERB
ejpam-5907	381	15	.	.	PUNCT
ejpam-5907	382	1	further	far	ADV
ejpam-5907	382	2	,	,	PUNCT
ejpam-5907	382	3	various	various	ADJ
ejpam-5907	382	4	sandwich	sandwich	NOUN
ejpam-5907	382	5	-	-	PUNCT
ejpam-5907	382	6	type	type	NOUN
ejpam-5907	382	7	theorems	theorem	NOUN
ejpam-5907	382	8	are	be	AUX
ejpam-5907	382	9	investigated	investigate	VERB
ejpam-5907	382	10	for	for	ADP
ejpam-5907	382	11	a	a	DET
ejpam-5907	382	12	class	class	NOUN
ejpam-5907	382	13	of	of	ADP
ejpam-5907	382	14	analytic	analytic	ADJ
ejpam-5907	382	15	functions	function	NOUN
ejpam-5907	382	16	involving	involve	VERB
ejpam-5907	382	17	the	the	DET
ejpam-5907	382	18	new	new	ADJ
ejpam-5907	382	19	linear	linear	NOUN
ejpam-5907	382	20	operator	operator	NOUN
ejpam-5907	382	21	.	.	PUNCT
ejpam-5907	383	1	references	reference	NOUN
ejpam-5907	383	2	[	[	X
ejpam-5907	383	3	1	1	X
ejpam-5907	383	4	]	]	PUNCT
ejpam-5907	383	5	i	i	PRON
ejpam-5907	383	6	graham	graham	PROPN
ejpam-5907	383	7	and	and	CCONJ
ejpam-5907	383	8	g	g	PROPN
ejpam-5907	383	9	kohr	kohr	PROPN
ejpam-5907	383	10	.	.	PUNCT
ejpam-5907	384	1	geometric	geometric	ADJ
ejpam-5907	384	2	function	function	NOUN
ejpam-5907	384	3	theory	theory	NOUN
ejpam-5907	384	4	in	in	ADP
ejpam-5907	384	5	one	one	NUM
ejpam-5907	384	6	and	and	CCONJ
ejpam-5907	384	7	higher	high	ADJ
ejpam-5907	384	8	dimensions	dimension	NOUN
ejpam-5907	384	9	.	.	PUNCT
ejpam-5907	385	1	marcel	marcel	PROPN
ejpam-5907	385	2	dekker	dekker	PROPN
ejpam-5907	385	3	,	,	PUNCT
ejpam-5907	385	4	inc	inc	PROPN
ejpam-5907	385	5	,	,	PUNCT
ejpam-5907	385	6	newyork	newyork	PROPN
ejpam-5907	385	7	,	,	PUNCT
ejpam-5907	385	8	2003	2003	NUM
ejpam-5907	385	9	.	.	PUNCT
ejpam-5907	386	1	[	[	X
ejpam-5907	386	2	2	2	X
ejpam-5907	386	3	]	]	PUNCT
ejpam-5907	386	4	p	p	X
ejpam-5907	386	5	l	l	PROPN
ejpam-5907	386	6	duren	duren	PROPN
ejpam-5907	386	7	.	.	PUNCT
ejpam-5907	386	8	univalent	univalent	ADJ
ejpam-5907	386	9	functions	function	NOUN
ejpam-5907	386	10	.	.	PUNCT
ejpam-5907	387	1	springer	springer	NOUN
ejpam-5907	387	2	-	-	PUNCT
ejpam-5907	387	3	verlag	verlag	PROPN
ejpam-5907	387	4	,	,	PUNCT
ejpam-5907	387	5	newyork	newyork	PROPN
ejpam-5907	387	6	,	,	PUNCT
ejpam-5907	387	7	1983	1983	NUM
ejpam-5907	387	8	.	.	PUNCT
ejpam-5907	388	1	e.	e.	PROPN
ejpam-5907	388	2	amini	amini	PROPN
ejpam-5907	388	3	,	,	PUNCT
ejpam-5907	388	4	s.	s.	PROPN
ejpam-5907	388	5	al	al	PROPN
ejpam-5907	388	6	-	-	PUNCT
ejpam-5907	388	7	omari	omari	PROPN
ejpam-5907	388	8	,	,	PUNCT
ejpam-5907	388	9	m.	m.	NOUN
ejpam-5907	388	10	khandaqji	khandaqji	PROPN
ejpam-5907	388	11	/	/	SYM
ejpam-5907	388	12	eur	eur	PROPN
ejpam-5907	388	13	.	.	PUNCT
ejpam-5907	389	1	j.	j.	PROPN
ejpam-5907	389	2	pure	pure	PROPN
ejpam-5907	389	3	appl	appl	PROPN
ejpam-5907	389	4	.	.	PROPN
ejpam-5907	389	5	math	math	PROPN
ejpam-5907	389	6	,	,	PUNCT
ejpam-5907	389	7	18	18	NUM
ejpam-5907	389	8	(	(	PUNCT
ejpam-5907	389	9	2	2	NUM
ejpam-5907	389	10	)	)	PUNCT
ejpam-5907	389	11	(	(	PUNCT
ejpam-5907	389	12	2025	2025	NUM
ejpam-5907	389	13	)	)	PUNCT
ejpam-5907	389	14	,	,	PUNCT
ejpam-5907	389	15	5907	5907	NUM
ejpam-5907	389	16	21	21	NUM
ejpam-5907	389	17	of	of	ADP
ejpam-5907	389	18	22	22	NUM
ejpam-5907	390	1	[	[	X
ejpam-5907	390	2	3	3	NUM
ejpam-5907	390	3	]	]	X
ejpam-5907	390	4	e	e	X
ejpam-5907	390	5	amini	amini	PROPN
ejpam-5907	390	6	,	,	PUNCT
ejpam-5907	390	7	s	s	PART
ejpam-5907	390	8	al	al	PROPN
ejpam-5907	390	9	-	-	PUNCT
ejpam-5907	390	10	omari	omari	PROPN
ejpam-5907	390	11	,	,	PUNCT
ejpam-5907	390	12	k	k	X
ejpam-5907	390	13	nonlaopon	nonlaopon	ADV
ejpam-5907	390	14	,	,	PUNCT
ejpam-5907	390	15	and	and	CCONJ
ejpam-5907	390	16	d	d	ADP
ejpam-5907	390	17	baleanu	baleanu	NOUN
ejpam-5907	390	18	.	.	PUNCT
ejpam-5907	391	1	estimates	estimate	NOUN
ejpam-5907	391	2	for	for	ADP
ejpam-5907	391	3	coefficients	coefficient	NOUN
ejpam-5907	391	4	of	of	ADP
ejpam-5907	391	5	bi	bi	ADJ
ejpam-5907	391	6	-	-	ADJ
ejpam-5907	391	7	univalent	univalent	ADJ
ejpam-5907	391	8	functions	function	NOUN
ejpam-5907	391	9	associated	associate	VERB
ejpam-5907	391	10	with	with	ADP
ejpam-5907	391	11	a	a	DET
ejpam-5907	391	12	fractional	fractional	ADJ
ejpam-5907	391	13	q	q	ADJ
ejpam-5907	391	14	-	-	PUNCT
ejpam-5907	391	15	difference	difference	NOUN
ejpam-5907	391	16	operator	operator	NOUN
ejpam-5907	391	17	.	.	PUNCT
ejpam-5907	392	1	symmetry	symmetry	NOUN
ejpam-5907	392	2	,	,	PUNCT
ejpam-5907	392	3	14(5):879	14(5):879	NUM
ejpam-5907	392	4	,	,	PUNCT
ejpam-5907	392	5	2022	2022	NUM
ejpam-5907	392	6	.	.	PUNCT
ejpam-5907	393	1	[	[	X
ejpam-5907	393	2	4	4	X
ejpam-5907	393	3	]	]	X
ejpam-5907	393	4	h	h	PROPN
ejpam-5907	393	5	m	m	PROPN
ejpam-5907	393	6	srivastava	srivastava	PROPN
ejpam-5907	393	7	,	,	PUNCT
ejpam-5907	393	8	a	a	DET
ejpam-5907	393	9	k	k	PROPN
ejpam-5907	393	10	wanas	wanas	PROPN
ejpam-5907	393	11	,	,	PUNCT
ejpam-5907	393	12	and	and	CCONJ
ejpam-5907	393	13	h	h	PROPN
ejpam-5907	393	14	z	z	PROPN
ejpam-5907	393	15	güney	güney	PROPN
ejpam-5907	393	16	.	.	PUNCT
ejpam-5907	394	1	new	new	ADJ
ejpam-5907	394	2	families	family	NOUN
ejpam-5907	394	3	of	of	ADP
ejpam-5907	394	4	bi	bi	ADJ
ejpam-5907	394	5	-	-	ADJ
ejpam-5907	394	6	univalent	univalent	ADJ
ejpam-5907	394	7	functions	function	NOUN
ejpam-5907	394	8	associated	associate	VERB
ejpam-5907	394	9	with	with	ADP
ejpam-5907	394	10	the	the	DET
ejpam-5907	394	11	bazilevič	bazilevič	NOUN
ejpam-5907	394	12	functions	function	NOUN
ejpam-5907	394	13	and	and	CCONJ
ejpam-5907	394	14	the	the	DET
ejpam-5907	394	15	λ	λ	NOUN
ejpam-5907	394	16	-	-	PUNCT
ejpam-5907	394	17	pseudo	pseudo	ADJ
ejpam-5907	394	18	-	-	ADJ
ejpam-5907	394	19	starlike	starlike	NOUN
ejpam-5907	394	20	functions	function	NOUN
ejpam-5907	394	21	.	.	PUNCT
ejpam-5907	395	1	iranian	iranian	ADJ
ejpam-5907	395	2	journal	journal	PROPN
ejpam-5907	395	3	of	of	ADP
ejpam-5907	395	4	science	science	NOUN
ejpam-5907	395	5	and	and	CCONJ
ejpam-5907	395	6	technology	technology	NOUN
ejpam-5907	395	7	,	,	PUNCT
ejpam-5907	395	8	transactions	transaction	VERB
ejpam-5907	395	9	a	a	DET
ejpam-5907	395	10	:	:	PUNCT
ejpam-5907	395	11	science	science	NOUN
ejpam-5907	395	12	,	,	PUNCT
ejpam-5907	395	13	45(5):1799–1804	45(5):1799–1804	NOUN
ejpam-5907	395	14	,	,	PUNCT
ejpam-5907	395	15	2021	2021	NUM
ejpam-5907	395	16	.	.	PUNCT
ejpam-5907	396	1	[	[	X
ejpam-5907	396	2	5	5	NUM
ejpam-5907	396	3	]	]	PUNCT
ejpam-5907	396	4	jay	jay	NOUN
ejpam-5907	396	5	m	m	VERB
ejpam-5907	396	6	jahangiri	jahangiri	ADV
ejpam-5907	396	7	and	and	CCONJ
ejpam-5907	396	8	samaneh	samaneh	PROPN
ejpam-5907	396	9	g	g	PROPN
ejpam-5907	396	10	hamidi	hamidi	PROPN
ejpam-5907	396	11	.	.	PUNCT
ejpam-5907	397	1	advances	advance	NOUN
ejpam-5907	397	2	on	on	ADP
ejpam-5907	397	3	the	the	DET
ejpam-5907	397	4	coefficients	coefficient	NOUN
ejpam-5907	397	5	of	of	ADP
ejpam-5907	397	6	bi	bi	ADJ
ejpam-5907	397	7	-	-	ADJ
ejpam-5907	397	8	prestarlike	prestarlike	ADJ
ejpam-5907	397	9	functions	function	NOUN
ejpam-5907	397	10	.	.	PUNCT
ejpam-5907	398	1	comptes	compte	VERB
ejpam-5907	398	2	rendus	rendus	PROPN
ejpam-5907	398	3	mathematique	mathematique	PROPN
ejpam-5907	398	4	,	,	PUNCT
ejpam-5907	398	5	354(10):980–985	354(10):980–985	NUM
ejpam-5907	398	6	,	,	PUNCT
ejpam-5907	398	7	2016	2016	NUM
ejpam-5907	398	8	.	.	PUNCT
ejpam-5907	399	1	[	[	X
ejpam-5907	399	2	6	6	NUM
ejpam-5907	399	3	]	]	PUNCT
ejpam-5907	399	4	a	a	DET
ejpam-5907	399	5	baricz	baricz	NOUN
ejpam-5907	399	6	,	,	PUNCT
ejpam-5907	399	7	e	e	PROPN
ejpam-5907	399	8	deniz	deniz	PROPN
ejpam-5907	399	9	,	,	PUNCT
ejpam-5907	399	10	m	m	VERB
ejpam-5907	399	11	çaǧlar	çaǧlar	ADJ
ejpam-5907	399	12	,	,	PUNCT
ejpam-5907	399	13	and	and	CCONJ
ejpam-5907	399	14	h	h	PROPN
ejpam-5907	399	15	orhan	orhan	PROPN
ejpam-5907	399	16	.	.	PUNCT
ejpam-5907	400	1	differential	differential	ADJ
ejpam-5907	400	2	subordinations	subordination	NOUN
ejpam-5907	400	3	involving	involve	VERB
ejpam-5907	400	4	generalized	generalized	ADJ
ejpam-5907	400	5	bessel	bessel	ADJ
ejpam-5907	400	6	functions	function	NOUN
ejpam-5907	400	7	.	.	PUNCT
ejpam-5907	401	1	bulletin	bulletin	NOUN
ejpam-5907	401	2	of	of	ADP
ejpam-5907	401	3	the	the	DET
ejpam-5907	401	4	malaysian	malaysian	PROPN
ejpam-5907	401	5	mathematical	mathematical	PROPN
ejpam-5907	401	6	sciences	sciences	PROPN
ejpam-5907	401	7	society	society	NOUN
ejpam-5907	401	8	,	,	PUNCT
ejpam-5907	401	9	38(3):1255–1280	38(3):1255–1280	NUM
ejpam-5907	401	10	,	,	PUNCT
ejpam-5907	401	11	2015	2015	NUM
ejpam-5907	401	12	.	.	PUNCT
ejpam-5907	402	1	[	[	X
ejpam-5907	402	2	7	7	NUM
ejpam-5907	402	3	]	]	X
ejpam-5907	402	4	e	e	X
ejpam-5907	402	5	amini	amini	PROPN
ejpam-5907	402	6	,	,	PUNCT
ejpam-5907	402	7	s	s	PART
ejpam-5907	402	8	al	al	PROPN
ejpam-5907	402	9	-	-	PUNCT
ejpam-5907	402	10	omari	omari	PROPN
ejpam-5907	402	11	,	,	PUNCT
ejpam-5907	402	12	m	m	VERB
ejpam-5907	402	13	fardi	fardi	ADJ
ejpam-5907	402	14	,	,	PUNCT
ejpam-5907	402	15	and	and	CCONJ
ejpam-5907	402	16	k	k	X
ejpam-5907	402	17	nonlaopon	nonlaopon	NOUN
ejpam-5907	402	18	.	.	PUNCT
ejpam-5907	403	1	duality	duality	NOUN
ejpam-5907	403	2	for	for	ADP
ejpam-5907	403	3	convolution	convolution	NOUN
ejpam-5907	403	4	on	on	ADP
ejpam-5907	403	5	subclasses	subclass	NOUN
ejpam-5907	403	6	of	of	ADP
ejpam-5907	403	7	analytic	analytic	ADJ
ejpam-5907	403	8	functions	function	NOUN
ejpam-5907	403	9	and	and	CCONJ
ejpam-5907	403	10	weighted	weight	VERB
ejpam-5907	403	11	integral	integral	ADJ
ejpam-5907	403	12	operators	operator	NOUN
ejpam-5907	403	13	.	.	PUNCT
ejpam-5907	404	1	demonstratio	demonstratio	PROPN
ejpam-5907	404	2	mathematica	mathematica	PROPN
ejpam-5907	404	3	,	,	PUNCT
ejpam-5907	404	4	56(1):20220168	56(1):20220168	NUM
ejpam-5907	404	5	,	,	PUNCT
ejpam-5907	404	6	2023	2023	NUM
ejpam-5907	404	7	.	.	PUNCT
ejpam-5907	405	1	[	[	X
ejpam-5907	405	2	8	8	NUM
ejpam-5907	405	3	]	]	X
ejpam-5907	405	4	e	e	X
ejpam-5907	405	5	amini	amini	PROPN
ejpam-5907	405	6	,	,	PUNCT
ejpam-5907	405	7	m	m	VERB
ejpam-5907	405	8	fardi	fardi	ADJ
ejpam-5907	405	9	,	,	PUNCT
ejpam-5907	405	10	s	s	PROPN
ejpam-5907	405	11	al	al	PROPN
ejpam-5907	405	12	-	-	PUNCT
ejpam-5907	405	13	omari	omari	PROPN
ejpam-5907	405	14	,	,	PUNCT
ejpam-5907	405	15	and	and	CCONJ
ejpam-5907	405	16	k	k	X
ejpam-5907	405	17	nonlaopon	nonlaopon	NOUN
ejpam-5907	405	18	.	.	PUNCT
ejpam-5907	406	1	results	result	NOUN
ejpam-5907	406	2	on	on	ADP
ejpam-5907	406	3	univalent	univalent	ADJ
ejpam-5907	406	4	functions	function	NOUN
ejpam-5907	406	5	defined	define	VERB
ejpam-5907	406	6	by	by	ADP
ejpam-5907	406	7	q	q	NOUN
ejpam-5907	406	8	-	-	PUNCT
ejpam-5907	406	9	analogues	analogue	NOUN
ejpam-5907	406	10	of	of	ADP
ejpam-5907	406	11	salagean	salagean	ADJ
ejpam-5907	406	12	and	and	CCONJ
ejpam-5907	406	13	ruscheweh	ruscheweh	NOUN
ejpam-5907	406	14	operators	operator	NOUN
ejpam-5907	406	15	.	.	PUNCT
ejpam-5907	407	1	symmetry	symmetry	NOUN
ejpam-5907	407	2	,	,	PUNCT
ejpam-5907	407	3	14(8):1725	14(8):1725	NUM
ejpam-5907	407	4	,	,	PUNCT
ejpam-5907	407	5	2022	2022	NUM
ejpam-5907	407	6	.	.	PUNCT
ejpam-5907	408	1	[	[	X
ejpam-5907	408	2	9	9	NUM
ejpam-5907	408	3	]	]	SYM
ejpam-5907	408	4	c	c	NOUN
ejpam-5907	408	5	pommerenke	pommerenke	NOUN
ejpam-5907	408	6	.	.	PUNCT
ejpam-5907	409	1	univalent	univalent	ADJ
ejpam-5907	409	2	functions	function	NOUN
ejpam-5907	409	3	.	.	PUNCT
ejpam-5907	410	1	vandenhoeck	vandenhoeck	PROPN
ejpam-5907	410	2	und	und	PROPN
ejpam-5907	410	3	ruprecht	ruprecht	NOUN
ejpam-5907	410	4	,	,	PUNCT
ejpam-5907	410	5	göttingen	göttingen	NOUN
ejpam-5907	410	6	,	,	PUNCT
ejpam-5907	410	7	1975	1975	NUM
ejpam-5907	410	8	.	.	PUNCT
ejpam-5907	411	1	[	[	X
ejpam-5907	411	2	10	10	NUM
ejpam-5907	411	3	]	]	X
ejpam-5907	411	4	st	st	NOUN
ejpam-5907	411	5	ruscheweyh	ruscheweyh	NOUN
ejpam-5907	411	6	.	.	PUNCT
ejpam-5907	412	1	new	new	ADJ
ejpam-5907	412	2	criteria	criterion	NOUN
ejpam-5907	412	3	for	for	ADP
ejpam-5907	412	4	univalent	univalent	ADJ
ejpam-5907	412	5	functions	function	NOUN
ejpam-5907	412	6	.	.	PUNCT
ejpam-5907	413	1	proc	proc	NOUN
ejpam-5907	413	2	.	.	PUNCT
ejpam-5907	414	1	amer	amer	PROPN
ejpam-5907	414	2	.	.	PUNCT
ejpam-5907	414	3	math	math	PROPN
ejpam-5907	414	4	.	.	PUNCT
ejpam-5907	415	1	soc	soc	PROPN
ejpam-5907	415	2	.	.	PUNCT
ejpam-5907	415	3	,	,	PUNCT
ejpam-5907	415	4	49(1):109–115	49(1):109–115	PROPN
ejpam-5907	415	5	,	,	PUNCT
ejpam-5907	415	6	1975	1975	NUM
ejpam-5907	415	7	.	.	PUNCT
ejpam-5907	416	1	[	[	X
ejpam-5907	416	2	11	11	NUM
ejpam-5907	416	3	]	]	SYM
ejpam-5907	416	4	s	s	PART
ejpam-5907	416	5	s	s	X
ejpam-5907	416	6	miller	miller	NOUN
ejpam-5907	416	7	and	and	CCONJ
ejpam-5907	416	8	p	p	PROPN
ejpam-5907	416	9	t	t	PROPN
ejpam-5907	416	10	mocanu	mocanu	PROPN
ejpam-5907	416	11	.	.	PUNCT
ejpam-5907	417	1	differential	differential	ADJ
ejpam-5907	417	2	subordinations	subordination	NOUN
ejpam-5907	417	3	:	:	PUNCT
ejpam-5907	417	4	theory	theory	NOUN
ejpam-5907	417	5	and	and	CCONJ
ejpam-5907	417	6	applications	application	NOUN
ejpam-5907	417	7	(	(	PUNCT
ejpam-5907	417	8	chapman	chapman	NOUN
ejpam-5907	417	9	&	&	CCONJ
ejpam-5907	417	10	hall	hall	PROPN
ejpam-5907	417	11	/	/	SYM
ejpam-5907	417	12	crc	crc	NOUN
ejpam-5907	417	13	pure	pure	ADJ
ejpam-5907	417	14	and	and	CCONJ
ejpam-5907	417	15	applied	applied	ADJ
ejpam-5907	417	16	mathematics	mathematic	NOUN
ejpam-5907	417	17	)	)	PUNCT
ejpam-5907	417	18	(	(	PUNCT
ejpam-5907	417	19	1st	1st	ADJ
ejpam-5907	417	20	ed	ed	NOUN
ejpam-5907	417	21	.	.	PUNCT
ejpam-5907	417	22	)	)	PUNCT
ejpam-5907	417	23	.	.	PUNCT
ejpam-5907	418	1	crc	crc	PROPN
ejpam-5907	418	2	press	press	PROPN
ejpam-5907	418	3	,	,	PUNCT
ejpam-5907	418	4	2000	2000	NUM
ejpam-5907	418	5	.	.	PUNCT
ejpam-5907	419	1	[	[	X
ejpam-5907	419	2	12	12	NUM
ejpam-5907	419	3	]	]	X
ejpam-5907	419	4	s	s	PART
ejpam-5907	419	5	s	s	X
ejpam-5907	419	6	miller	miller	NOUN
ejpam-5907	419	7	and	and	CCONJ
ejpam-5907	419	8	p	p	NOUN
ejpam-5907	419	9	tmocanu	tmocanu	NOUN
ejpam-5907	419	10	.	.	PUNCT
ejpam-5907	420	1	subordinations	subordination	NOUN
ejpam-5907	420	2	of	of	ADP
ejpam-5907	420	3	differential	differential	ADJ
ejpam-5907	420	4	superordinations	superordination	NOUN
ejpam-5907	420	5	.	.	PUNCT
ejpam-5907	420	6	.	.	PUNCT
ejpam-5907	421	1	complex	complex	ADJ
ejpam-5907	421	2	variables	variable	NOUN
ejpam-5907	421	3	,	,	PUNCT
ejpam-5907	421	4	theory	theory	NOUN
ejpam-5907	421	5	and	and	CCONJ
ejpam-5907	421	6	application	application	NOUN
ejpam-5907	421	7	:	:	PUNCT
ejpam-5907	421	8	an	an	DET
ejpam-5907	421	9	international	international	ADJ
ejpam-5907	421	10	journal	journal	NOUN
ejpam-5907	421	11	,	,	PUNCT
ejpam-5907	421	12	48(10):815–826	48(10):815–826	PROPN
ejpam-5907	421	13	,	,	PUNCT
ejpam-5907	421	14	2003	2003	NUM
ejpam-5907	421	15	.	.	PUNCT
ejpam-5907	422	1	[	[	X
ejpam-5907	422	2	13	13	NUM
ejpam-5907	422	3	]	]	PUNCT
ejpam-5907	422	4	t	t	PROPN
ejpam-5907	422	5	bulboacă.	bulboacă.	PROPN
ejpam-5907	422	6	classes	class	NOUN
ejpam-5907	422	7	of	of	ADP
ejpam-5907	422	8	first	first	ADJ
ejpam-5907	422	9	-	-	PUNCT
ejpam-5907	422	10	order	order	NOUN
ejpam-5907	422	11	differential	differential	ADJ
ejpam-5907	422	12	superordinations	superordination	NOUN
ejpam-5907	422	13	.	.	PUNCT
ejpam-5907	423	1	demonstratio	demonstratio	PROPN
ejpam-5907	423	2	mathematica	mathematica	PROPN
ejpam-5907	423	3	,	,	PUNCT
ejpam-5907	423	4	35(2):287–292	35(2):287–292	PROPN
ejpam-5907	423	5	,	,	PUNCT
ejpam-5907	423	6	2017	2017	NUM
ejpam-5907	423	7	.	.	PUNCT
ejpam-5907	424	1	[	[	X
ejpam-5907	424	2	14	14	NUM
ejpam-5907	424	3	]	]	X
ejpam-5907	424	4	r	r	NOUN
ejpam-5907	424	5	m	m	VERB
ejpam-5907	424	6	ali	ali	ADJ
ejpam-5907	424	7	,	,	PUNCT
ejpam-5907	424	8	ravichandran	ravichandran	NOUN
ejpam-5907	424	9	,	,	PUNCT
ejpam-5907	424	10	h	h	PROPN
ejpam-5907	424	11	m	m	PROPN
ejpam-5907	424	12	khan	khan	PROPN
ejpam-5907	424	13	,	,	PUNCT
ejpam-5907	424	14	and	and	CCONJ
ejpam-5907	424	15	k	k	PROPN
ejpam-5907	424	16	g	g	PROPN
ejpam-5907	424	17	subramanian	subramanian	PROPN
ejpam-5907	424	18	.	.	PUNCT
ejpam-5907	425	1	differential	differential	ADJ
ejpam-5907	425	2	sandwich	sandwich	NOUN
ejpam-5907	425	3	theorems	theorem	NOUN
ejpam-5907	425	4	for	for	ADP
ejpam-5907	425	5	certain	certain	ADJ
ejpam-5907	425	6	analytic	analytic	ADJ
ejpam-5907	425	7	functions	function	NOUN
ejpam-5907	425	8	.	.	PUNCT
ejpam-5907	426	1	far	far	PROPN
ejpam-5907	426	2	east	east	PROPN
ejpam-5907	426	3	journal	journal	PROPN
ejpam-5907	426	4	of	of	ADP
ejpam-5907	426	5	mathematical	mathematical	ADJ
ejpam-5907	426	6	sciences	science	NOUN
ejpam-5907	426	7	,	,	PUNCT
ejpam-5907	426	8	15(1):87–94	15(1):87–94	NUM
ejpam-5907	426	9	,	,	PUNCT
ejpam-5907	426	10	2004	2004	NUM
ejpam-5907	426	11	.	.	PUNCT
ejpam-5907	427	1	[	[	X
ejpam-5907	427	2	15	15	NUM
ejpam-5907	427	3	]	]	X
ejpam-5907	427	4	t	t	PROPN
ejpam-5907	427	5	bulboacă.	bulboacă.	PROPN
ejpam-5907	427	6	a	a	DET
ejpam-5907	427	7	class	class	NOUN
ejpam-5907	427	8	of	of	ADP
ejpam-5907	427	9	superordination	superordination	NOUN
ejpam-5907	427	10	-	-	PUNCT
ejpam-5907	427	11	preserving	preserve	VERB
ejpam-5907	427	12	integral	integral	ADJ
ejpam-5907	427	13	operators	operator	NOUN
ejpam-5907	427	14	.	.	PUNCT
ejpam-5907	428	1	indag	indag	PROPN
ejpam-5907	428	2	.	.	PUNCT
ejpam-5907	428	3	math	math	NOUN
ejpam-5907	428	4	.	.	PUNCT
ejpam-5907	429	1	(	(	PUNCT
ejpam-5907	429	2	n.	n.	PROPN
ejpam-5907	429	3	s.	s.	PROPN
ejpam-5907	429	4	,	,	PUNCT
ejpam-5907	429	5	13(3):301–311	13(3):301–311	NUM
ejpam-5907	429	6	,	,	PUNCT
ejpam-5907	429	7	2002	2002	NUM
ejpam-5907	429	8	.	.	PUNCT
ejpam-5907	430	1	[	[	X
ejpam-5907	430	2	16	16	NUM
ejpam-5907	430	3	]	]	X
ejpam-5907	430	4	t	t	PROPN
ejpam-5907	430	5	n	n	PRON
ejpam-5907	430	6	shanmugam	shanmugam	NOUN
ejpam-5907	430	7	,	,	PUNCT
ejpam-5907	430	8	c	c	NOUN
ejpam-5907	430	9	ravichandran	ravichandran	NOUN
ejpam-5907	430	10	,	,	PUNCT
ejpam-5907	430	11	and	and	CCONJ
ejpam-5907	430	12	s	s	VERB
ejpam-5907	430	13	sivasubramanian	sivasubramanian	ADJ
ejpam-5907	430	14	.	.	PUNCT
ejpam-5907	431	1	differential	differential	ADJ
ejpam-5907	431	2	sandwich	sandwich	NOUN
ejpam-5907	431	3	theorems	theorem	NOUN
ejpam-5907	431	4	for	for	ADP
ejpam-5907	431	5	some	some	DET
ejpam-5907	431	6	subclasses	subclass	NOUN
ejpam-5907	431	7	of	of	ADP
ejpam-5907	431	8	analytic	analytic	ADJ
ejpam-5907	431	9	functions	function	NOUN
ejpam-5907	431	10	.	.	PUNCT
ejpam-5907	432	1	australian	australian	ADJ
ejpam-5907	432	2	journal	journal	NOUN
ejpam-5907	432	3	of	of	ADP
ejpam-5907	432	4	mathematical	mathematical	ADJ
ejpam-5907	432	5	analysis	analysis	NOUN
ejpam-5907	432	6	and	and	CCONJ
ejpam-5907	432	7	applications	application	NOUN
ejpam-5907	432	8	,	,	PUNCT
ejpam-5907	432	9	8(1):1–11	8(1):1–11	ADP
ejpam-5907	432	10	,	,	PUNCT
ejpam-5907	432	11	2006	2006	NUM
ejpam-5907	432	12	.	.	PUNCT
ejpam-5907	433	1	[	[	X
ejpam-5907	433	2	17	17	NUM
ejpam-5907	433	3	]	]	PUNCT
ejpam-5907	433	4	a	a	DET
ejpam-5907	433	5	a	a	DET
ejpam-5907	433	6	lupaş	lupaş	PROPN
ejpam-5907	433	7	and	and	CCONJ
ejpam-5907	433	8	g	g	NOUN
ejpam-5907	433	9	i	i	PROPN
ejpam-5907	433	10	oros	oros	PROPN
ejpam-5907	433	11	.	.	PUNCT
ejpam-5907	434	1	differential	differential	ADJ
ejpam-5907	434	2	subordination	subordination	NOUN
ejpam-5907	434	3	and	and	CCONJ
ejpam-5907	434	4	superordination	superordination	NOUN
ejpam-5907	434	5	results	result	NOUN
ejpam-5907	434	6	using	use	VERB
ejpam-5907	434	7	fractional	fractional	ADJ
ejpam-5907	434	8	integral	integral	ADJ
ejpam-5907	434	9	of	of	ADP
ejpam-5907	434	10	confluent	confluent	ADJ
ejpam-5907	434	11	hypergeometric	hypergeometric	ADJ
ejpam-5907	434	12	function	function	NOUN
ejpam-5907	434	13	.	.	PUNCT
ejpam-5907	435	1	symmetry	symmetry	NOUN
ejpam-5907	435	2	,	,	PUNCT
ejpam-5907	435	3	13:327	13:327	NUM
ejpam-5907	435	4	,	,	PUNCT
ejpam-5907	435	5	2021	2021	NUM
ejpam-5907	435	6	.	.	PUNCT
ejpam-5907	436	1	[	[	X
ejpam-5907	436	2	18	18	NUM
ejpam-5907	436	3	]	]	X
ejpam-5907	436	4	y	y	PROPN
ejpam-5907	436	5	komatu	komatu	PROPN
ejpam-5907	436	6	.	.	PUNCT
ejpam-5907	437	1	on	on	ADP
ejpam-5907	437	2	a	a	DET
ejpam-5907	437	3	one	one	NUM
ejpam-5907	437	4	-	-	PUNCT
ejpam-5907	437	5	parameter	parameter	NOUN
ejpam-5907	437	6	additive	additive	ADJ
ejpam-5907	437	7	family	family	NOUN
ejpam-5907	437	8	of	of	ADP
ejpam-5907	437	9	operators	operator	NOUN
ejpam-5907	437	10	defined	define	VERB
ejpam-5907	437	11	on	on	ADP
ejpam-5907	437	12	analytic	analytic	ADJ
ejpam-5907	437	13	functions	function	NOUN
ejpam-5907	437	14	regular	regular	ADJ
ejpam-5907	437	15	in	in	ADP
ejpam-5907	437	16	the	the	DET
ejpam-5907	437	17	unit	unit	NOUN
ejpam-5907	437	18	disk	disk	NOUN
ejpam-5907	437	19	.	.	PUNCT
ejpam-5907	437	20	bull	bull	NOUN
ejpam-5907	437	21	.	.	PUNCT
ejpam-5907	438	1	fac	fac	PROPN
ejpam-5907	438	2	.	.	PUNCT
ejpam-5907	439	1	sci	sci	PROPN
ejpam-5907	439	2	.	.	PUNCT
ejpam-5907	439	3	engrg	engrg	PROPN
ejpam-5907	439	4	.	.	PUNCT
ejpam-5907	440	1	chuo	chuo	PROPN
ejpam-5907	440	2	univ	univ	PROPN
ejpam-5907	440	3	.	.	PUNCT
ejpam-5907	441	1	ser	ser	PROPN
ejpam-5907	441	2	.	.	PUNCT
ejpam-5907	442	1	i	i	PRON
ejpam-5907	442	2	math	math	PROPN
ejpam-5907	442	3	.	.	PUNCT
ejpam-5907	443	1	,	,	PUNCT
ejpam-5907	443	2	(	(	PUNCT
ejpam-5907	443	3	22):1–22	22):1–22	NOUN
ejpam-5907	443	4	,	,	PUNCT
ejpam-5907	443	5	1979	1979	NUM
ejpam-5907	443	6	.	.	PUNCT
ejpam-5907	444	1	[	[	X
ejpam-5907	444	2	19	19	NUM
ejpam-5907	444	3	]	]	SYM
ejpam-5907	444	4	m	m	PROPN
ejpam-5907	444	5	sharma	sharma	NOUN
ejpam-5907	444	6	and	and	CCONJ
ejpam-5907	444	7	r	r	NOUN
ejpam-5907	444	8	jain	jain	NOUN
ejpam-5907	444	9	.	.	PUNCT
ejpam-5907	445	1	a	a	DET
ejpam-5907	445	2	note	note	NOUN
ejpam-5907	445	3	on	on	ADP
ejpam-5907	445	4	a	a	DET
ejpam-5907	445	5	generalized	generalized	ADJ
ejpam-5907	445	6	m	m	NOUN
ejpam-5907	445	7	-	-	PUNCT
ejpam-5907	445	8	series	series	NOUN
ejpam-5907	445	9	as	as	ADP
ejpam-5907	445	10	a	a	DET
ejpam-5907	445	11	special	special	ADJ
ejpam-5907	445	12	function	function	NOUN
ejpam-5907	445	13	of	of	ADP
ejpam-5907	445	14	fractional	fractional	ADJ
ejpam-5907	445	15	calculus	calculus	NOUN
ejpam-5907	445	16	.	.	PUNCT
ejpam-5907	446	1	fractional	fractional	ADJ
ejpam-5907	446	2	calculus	calculus	NOUN
ejpam-5907	446	3	and	and	CCONJ
ejpam-5907	446	4	applied	apply	VERB
ejpam-5907	446	5	analysis	analysis	NOUN
ejpam-5907	446	6	,	,	PUNCT
ejpam-5907	446	7	12(4):449–452	12(4):449–452	NUM
ejpam-5907	446	8	,	,	PUNCT
ejpam-5907	446	9	2009	2009	NUM
ejpam-5907	446	10	.	.	PUNCT
ejpam-5907	447	1	[	[	X
ejpam-5907	447	2	20	20	NUM
ejpam-5907	447	3	]	]	PUNCT
ejpam-5907	447	4	t	t	PROPN
ejpam-5907	447	5	r	r	NOUN
ejpam-5907	447	6	prabhakar	prabhakar	NOUN
ejpam-5907	447	7	.	.	PUNCT
ejpam-5907	448	1	a	a	DET
ejpam-5907	448	2	singular	singular	ADJ
ejpam-5907	448	3	integral	integral	ADJ
ejpam-5907	448	4	equation	equation	NOUN
ejpam-5907	448	5	with	with	ADP
ejpam-5907	448	6	a	a	DET
ejpam-5907	448	7	generalized	generalized	ADJ
ejpam-5907	448	8	mittag	mittag	ADJ
ejpam-5907	448	9	-	-	PUNCT
ejpam-5907	448	10	leffler	leffler	NOUN
ejpam-5907	448	11	function	function	NOUN
ejpam-5907	448	12	in	in	ADP
ejpam-5907	448	13	the	the	DET
ejpam-5907	448	14	kernel	kernel	NOUN
ejpam-5907	448	15	.	.	PUNCT
ejpam-5907	449	1	yokohama	yokohama	PROPN
ejpam-5907	449	2	math	math	PROPN
ejpam-5907	449	3	.	.	PUNCT
ejpam-5907	450	1	j	j	PROPN
ejpam-5907	450	2	,	,	PUNCT
ejpam-5907	450	3	19(1):7–15	19(1):7–15	NUM
ejpam-5907	450	4	,	,	PUNCT
ejpam-5907	450	5	1971	1971	NUM
ejpam-5907	450	6	.	.	PUNCT
ejpam-5907	451	1	e.	e.	PROPN
ejpam-5907	451	2	amini	amini	PROPN
ejpam-5907	451	3	,	,	PUNCT
ejpam-5907	451	4	s.	s.	PROPN
ejpam-5907	451	5	al	al	PROPN
ejpam-5907	451	6	-	-	PUNCT
ejpam-5907	451	7	omari	omari	PROPN
ejpam-5907	451	8	,	,	PUNCT
ejpam-5907	451	9	m.	m.	NOUN
ejpam-5907	451	10	khandaqji	khandaqji	PROPN
ejpam-5907	451	11	/	/	SYM
ejpam-5907	451	12	eur	eur	PROPN
ejpam-5907	451	13	.	.	PUNCT
ejpam-5907	452	1	j.	j.	PROPN
ejpam-5907	452	2	pure	pure	PROPN
ejpam-5907	452	3	appl	appl	PROPN
ejpam-5907	452	4	.	.	PROPN
ejpam-5907	452	5	math	math	PROPN
ejpam-5907	452	6	,	,	PUNCT
ejpam-5907	452	7	18	18	NUM
ejpam-5907	452	8	(	(	PUNCT
ejpam-5907	452	9	2	2	NUM
ejpam-5907	452	10	)	)	PUNCT
ejpam-5907	452	11	(	(	PUNCT
ejpam-5907	452	12	2025	2025	NUM
ejpam-5907	452	13	)	)	PUNCT
ejpam-5907	452	14	,	,	PUNCT
ejpam-5907	452	15	5907	5907	NUM
ejpam-5907	452	16	22	22	NUM
ejpam-5907	452	17	of	of	ADP
ejpam-5907	452	18	22	22	NUM
ejpam-5907	453	1	[	[	X
ejpam-5907	453	2	21	21	NUM
ejpam-5907	453	3	]	]	X
ejpam-5907	453	4	m	m	VERB
ejpam-5907	453	5	çaǧlar	çaǧlar	PROPN
ejpam-5907	453	6	,	,	PUNCT
ejpam-5907	453	7	k	k	PROPN
ejpam-5907	453	8	r	r	NOUN
ejpam-5907	453	9	karthikeyan	karthikeyan	NOUN
ejpam-5907	453	10	,	,	PUNCT
ejpam-5907	453	11	and	and	CCONJ
ejpam-5907	453	12	g	g	PROPN
ejpam-5907	453	13	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-5907	453	14	.	.	PUNCT
ejpam-5907	454	1	inequalities	inequality	NOUN
ejpam-5907	454	2	on	on	ADP
ejpam-5907	454	3	a	a	DET
ejpam-5907	454	4	class	class	NOUN
ejpam-5907	454	5	of	of	ADP
ejpam-5907	454	6	analytic	analytic	ADJ
ejpam-5907	454	7	functions	function	NOUN
ejpam-5907	454	8	defined	define	VERB
ejpam-5907	454	9	by	by	ADP
ejpam-5907	454	10	generalized	generalized	ADJ
ejpam-5907	454	11	mittag	mittag	ADJ
ejpam-5907	454	12	-	-	PUNCT
ejpam-5907	454	13	leffler	leffler	NOUN
ejpam-5907	454	14	function	function	NOUN
ejpam-5907	454	15	.	.	PUNCT
ejpam-5907	455	1	filomat	filomat	NOUN
ejpam-5907	455	2	,	,	PUNCT
ejpam-5907	455	3	37(19):6277–6288	37(19):6277–6288	NUM
ejpam-5907	455	4	,	,	PUNCT
ejpam-5907	455	5	2023	2023	NUM
ejpam-5907	455	6	.	.	PUNCT
ejpam-5907	456	1	[	[	X
ejpam-5907	456	2	22	22	NUM
ejpam-5907	456	3	]	]	X
ejpam-5907	456	4	m	m	VERB
ejpam-5907	456	5	çaǧlar	çaǧlar	PROPN
ejpam-5907	456	6	and	and	CCONJ
ejpam-5907	456	7	e	e	PROPN
ejpam-5907	456	8	kaya	kaya	PROPN
ejpam-5907	456	9	büyküyurt	büyküyurt	PROPN
ejpam-5907	456	10	.	.	PUNCT
ejpam-5907	457	1	neighborhood	neighborhood	NOUN
ejpam-5907	457	2	properties	property	NOUN
ejpam-5907	457	3	of	of	ADP
ejpam-5907	457	4	certain	certain	ADJ
ejpam-5907	457	5	subclasses	subclass	NOUN
ejpam-5907	457	6	of	of	ADP
ejpam-5907	457	7	analytic	analytic	ADJ
ejpam-5907	457	8	functions	function	NOUN
ejpam-5907	457	9	defined	define	VERB
ejpam-5907	457	10	by	by	ADP
ejpam-5907	457	11	generalized	generalized	ADJ
ejpam-5907	457	12	mittag	mittag	ADJ
ejpam-5907	457	13	-	-	PUNCT
ejpam-5907	457	14	leffler	leffler	NOUN
ejpam-5907	457	15	function	function	NOUN
ejpam-5907	457	16	.	.	PUNCT
ejpam-5907	458	1	journal	journal	NOUN
ejpam-5907	458	2	of	of	ADP
ejpam-5907	458	3	science	science	NOUN
ejpam-5907	458	4	and	and	CCONJ
ejpam-5907	458	5	arts	art	NOUN
ejpam-5907	458	6	,	,	PUNCT
ejpam-5907	458	7	22(1):97–104	22(1):97–104	PROPN
ejpam-5907	458	8	,	,	PUNCT
ejpam-5907	458	9	2022	2022	NUM
ejpam-5907	458	10	.	.	PUNCT
ejpam-5907	459	1	[	[	X
ejpam-5907	459	2	23	23	NUM
ejpam-5907	459	3	]	]	PUNCT
ejpam-5907	459	4	t	t	PROPN
ejpam-5907	459	5	bulboacă.	bulboacă.	PROPN
ejpam-5907	459	6	differential	differential	VERB
ejpam-5907	459	7	subordinations	subordination	NOUN
ejpam-5907	459	8	and	and	CCONJ
ejpam-5907	459	9	superordinations	superordination	NOUN
ejpam-5907	459	10	resent	resent	AUX
ejpam-5907	459	11	result	result	VERB
ejpam-5907	459	12	.	.	PUNCT
ejpam-5907	460	1	georgiana	georgiana	PROPN
ejpam-5907	460	2	bacria	bacria	PROPN
ejpam-5907	460	3	,	,	PUNCT
ejpam-5907	460	4	2005	2005	NUM
ejpam-5907	460	5	.	.	PUNCT