id	sid	tid	token	lemma	pos
ejpam-701	1	1	11_701_aouf.dvi	11_701_aouf.dvi	NUM
ejpam-701	1	2	european	european	ADJ
ejpam-701	1	3	journal	journal	NOUN
ejpam-701	1	4	of	of	ADP
ejpam-701	1	5	pure	pure	ADJ
ejpam-701	1	6	and	and	CCONJ
ejpam-701	1	7	applied	apply	VERB
ejpam-701	1	8	mathematics	mathematic	NOUN
ejpam-701	1	9	vol	vol	NOUN
ejpam-701	1	10	.	.	PUNCT
ejpam-701	2	1	3	3	NUM
ejpam-701	2	2	,	,	PUNCT
ejpam-701	2	3	no	no	INTJ
ejpam-701	2	4	.	.	NOUN
ejpam-701	2	5	6	6	NUM
ejpam-701	2	6	,	,	PUNCT
ejpam-701	2	7	2010	2010	NUM
ejpam-701	2	8	,	,	PUNCT
ejpam-701	2	9	1070	1070	NUM
ejpam-701	2	10	-	-	SYM
ejpam-701	2	11	1085	1085	NUM
ejpam-701	2	12	issn	issn	PROPN
ejpam-701	2	13	1307	1307	NUM
ejpam-701	2	14	-	-	SYM
ejpam-701	2	15	5543	5543	NUM
ejpam-701	2	16	–	–	PUNCT
ejpam-701	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-701	2	18	special	special	ADJ
ejpam-701	2	19	issue	issue	NOUN
ejpam-701	2	20	on	on	ADP
ejpam-701	2	21	complex	complex	ADJ
ejpam-701	2	22	analysis	analysis	NOUN
ejpam-701	2	23	:	:	PUNCT
ejpam-701	2	24	theory	theory	NOUN
ejpam-701	2	25	and	and	CCONJ
ejpam-701	2	26	applications	application	NOUN
ejpam-701	2	27	dedicated	dedicate	VERB
ejpam-701	2	28	to	to	ADP
ejpam-701	2	29	professor	professor	PROPN
ejpam-701	2	30	hari	hari	PROPN
ejpam-701	2	31	m.	m.	PROPN
ejpam-701	2	32	srivastava	srivastava	PROPN
ejpam-701	2	33	,	,	PUNCT
ejpam-701	2	34	on	on	ADP
ejpam-701	2	35	the	the	DET
ejpam-701	2	36	occasion	occasion	NOUN
ejpam-701	2	37	of	of	ADP
ejpam-701	2	38	his	his	PRON
ejpam-701	2	39	70th	70th	ADJ
ejpam-701	2	40	birthday	birthday	NOUN
ejpam-701	2	41	differential	differential	NOUN
ejpam-701	2	42	subordination	subordination	NOUN
ejpam-701	2	43	and	and	CCONJ
ejpam-701	2	44	superordination	superordination	NOUN
ejpam-701	2	45	on	on	ADP
ejpam-701	2	46	p	p	ADJ
ejpam-701	2	47	-	-	PUNCT
ejpam-701	2	48	valent	valent	NOUN
ejpam-701	2	49	meromorphic	meromorphic	ADJ
ejpam-701	2	50	functions	function	NOUN
ejpam-701	2	51	defined	define	VERB
ejpam-701	2	52	by	by	ADP
ejpam-701	2	53	extended	extend	VERB
ejpam-701	2	54	multiplier	multipli	ADJ
ejpam-701	2	55	transformations	transformation	NOUN
ejpam-701	2	56	r.	r.	PROPN
ejpam-701	2	57	m.	m.	PROPN
ejpam-701	2	58	el	el	PROPN
ejpam-701	2	59	-	-	PUNCT
ejpam-701	2	60	ashwah	ashwah	NOUN
ejpam-701	2	61	1,∗	1,∗	NOUN
ejpam-701	2	62	,	,	PUNCT
ejpam-701	2	63	m.	m.	PROPN
ejpam-701	2	64	k.	k.	PROPN
ejpam-701	2	65	aouf	aouf	PROPN
ejpam-701	2	66	2	2	NUM
ejpam-701	2	67	1	1	NUM
ejpam-701	2	68	department	department	NOUN
ejpam-701	2	69	of	of	ADP
ejpam-701	2	70	mathematics	mathematic	NOUN
ejpam-701	2	71	,	,	PUNCT
ejpam-701	2	72	faculty	faculty	NOUN
ejpam-701	2	73	of	of	ADP
ejpam-701	2	74	science	science	NOUN
ejpam-701	2	75	(	(	PUNCT
ejpam-701	2	76	damietta	damietta	PROPN
ejpam-701	2	77	branch	branch	NOUN
ejpam-701	2	78	)	)	PUNCT
ejpam-701	2	79	,	,	PUNCT
ejpam-701	2	80	mansoura	mansoura	PROPN
ejpam-701	2	81	university	university	NOUN
ejpam-701	2	82	,	,	PUNCT
ejpam-701	2	83	new	new	PROPN
ejpam-701	2	84	damietta	damietta	PROPN
ejpam-701	2	85	34517	34517	NUM
ejpam-701	2	86	,	,	PUNCT
ejpam-701	2	87	egypt	egypt	PROPN
ejpam-701	2	88	2	2	NUM
ejpam-701	2	89	department	department	NOUN
ejpam-701	2	90	of	of	ADP
ejpam-701	2	91	mathematics	mathematic	NOUN
ejpam-701	2	92	,	,	PUNCT
ejpam-701	2	93	faculty	faculty	NOUN
ejpam-701	2	94	of	of	ADP
ejpam-701	2	95	science	science	NOUN
ejpam-701	2	96	,	,	PUNCT
ejpam-701	2	97	mansoura	mansoura	PROPN
ejpam-701	2	98	university	university	NOUN
ejpam-701	2	99	,	,	PUNCT
ejpam-701	2	100	mansoura	mansoura	PROPN
ejpam-701	2	101	35516	35516	NUM
ejpam-701	2	102	,	,	PUNCT
ejpam-701	2	103	egypt	egypt	PROPN
ejpam-701	2	104	abstract	abstract	PROPN
ejpam-701	2	105	.	.	PUNCT
ejpam-701	3	1	in	in	ADP
ejpam-701	3	2	this	this	DET
ejpam-701	3	3	paper	paper	NOUN
ejpam-701	3	4	we	we	PRON
ejpam-701	3	5	derive	derive	VERB
ejpam-701	3	6	some	some	DET
ejpam-701	3	7	differential	differential	ADJ
ejpam-701	3	8	subordination	subordination	NOUN
ejpam-701	3	9	and	and	CCONJ
ejpam-701	3	10	superordination	superordination	NOUN
ejpam-701	3	11	results	result	NOUN
ejpam-701	3	12	for	for	ADP
ejpam-701	3	13	pvalent	pvalent	NOUN
ejpam-701	3	14	meromorphic	meromorphic	ADJ
ejpam-701	3	15	functions	function	NOUN
ejpam-701	3	16	in	in	ADP
ejpam-701	3	17	the	the	DET
ejpam-701	3	18	punctured	punctured	ADJ
ejpam-701	3	19	unit	unit	NOUN
ejpam-701	3	20	disc	disc	NOUN
ejpam-701	3	21	,	,	PUNCT
ejpam-701	3	22	which	which	PRON
ejpam-701	3	23	are	be	AUX
ejpam-701	3	24	acted	act	VERB
ejpam-701	3	25	upon	upon	SCONJ
ejpam-701	3	26	by	by	ADP
ejpam-701	3	27	a	a	DET
ejpam-701	3	28	class	class	NOUN
ejpam-701	3	29	of	of	ADP
ejpam-701	3	30	extended	extended	ADJ
ejpam-701	3	31	multiplier	multipli	ADJ
ejpam-701	3	32	transformations	transformation	NOUN
ejpam-701	3	33	.	.	PUNCT
ejpam-701	4	1	these	these	DET
ejpam-701	4	2	results	result	NOUN
ejpam-701	4	3	are	be	AUX
ejpam-701	4	4	obtained	obtain	VERB
ejpam-701	4	5	by	by	ADP
ejpam-701	4	6	investigating	investigate	VERB
ejpam-701	4	7	appropriate	appropriate	ADJ
ejpam-701	4	8	classes	class	NOUN
ejpam-701	4	9	of	of	ADP
ejpam-701	4	10	admissible	admissible	ADJ
ejpam-701	4	11	functions	function	NOUN
ejpam-701	4	12	.	.	PUNCT
ejpam-701	5	1	sandwich	sandwich	NOUN
ejpam-701	5	2	-	-	PUNCT
ejpam-701	5	3	type	type	NOUN
ejpam-701	5	4	results	result	NOUN
ejpam-701	5	5	are	be	AUX
ejpam-701	5	6	also	also	ADV
ejpam-701	5	7	obtained	obtain	VERB
ejpam-701	5	8	.	.	PROPN
ejpam-701	6	1	2000	2000	NUM
ejpam-701	6	2	mathematics	mathematic	NOUN
ejpam-701	6	3	subject	subject	NOUN
ejpam-701	6	4	classifications	classification	NOUN
ejpam-701	6	5	:	:	PUNCT
ejpam-701	6	6	30c45	30c45	NUM
ejpam-701	6	7	key	key	ADJ
ejpam-701	6	8	words	word	NOUN
ejpam-701	6	9	and	and	CCONJ
ejpam-701	6	10	phrases	phrase	NOUN
ejpam-701	6	11	:	:	PUNCT
ejpam-701	6	12	meromorphic	meromorphic	ADJ
ejpam-701	6	13	functions	function	NOUN
ejpam-701	6	14	,	,	PUNCT
ejpam-701	6	15	extended	extend	VERB
ejpam-701	6	16	multiplier	multipli	ADJ
ejpam-701	6	17	transformations	transformation	NOUN
ejpam-701	6	18	,	,	PUNCT
ejpam-701	6	19	sandwich	sandwich	NOUN
ejpam-701	6	20	theorems	theorem	NOUN
ejpam-701	6	21	1	1	X
ejpam-701	6	22	.	.	X
ejpam-701	6	23	introduction	introduction	NOUN
ejpam-701	6	24	let	let	VERB
ejpam-701	6	25	h(u	h(u	PROPN
ejpam-701	6	26	)	)	PUNCT
ejpam-701	6	27	be	be	AUX
ejpam-701	6	28	the	the	DET
ejpam-701	6	29	class	class	NOUN
ejpam-701	6	30	of	of	ADP
ejpam-701	6	31	analytic	analytic	ADJ
ejpam-701	6	32	functions	function	NOUN
ejpam-701	6	33	in	in	ADP
ejpam-701	6	34	the	the	DET
ejpam-701	6	35	open	open	ADJ
ejpam-701	6	36	unit	unit	NOUN
ejpam-701	6	37	disc	disc	VERB
ejpam-701	6	38	u	u	NOUN
ejpam-701	6	39	=	=	PUNCT
ejpam-701	6	40	{	{	PUNCT
ejpam-701	6	41	z	z	NOUN
ejpam-701	6	42	:	:	PUNCT
ejpam-701	6	43	z	z	PROPN
ejpam-701	6	44	∈	∈	PROPN
ejpam-701	6	45	c	c	PROPN
ejpam-701	6	46	and	and	CCONJ
ejpam-701	6	47	|z|	|z|	VERB
ejpam-701	6	48	<	<	X
ejpam-701	6	49	1	1	NUM
ejpam-701	6	50	}	}	PUNCT
ejpam-701	6	51	and	and	CCONJ
ejpam-701	6	52	h[a	h[a	NUM
ejpam-701	6	53	,	,	PUNCT
ejpam-701	6	54	n	n	CCONJ
ejpam-701	6	55	]	]	PUNCT
ejpam-701	6	56	be	be	AUX
ejpam-701	6	57	the	the	DET
ejpam-701	6	58	subclass	subclass	NOUN
ejpam-701	6	59	of	of	ADP
ejpam-701	6	60	h(u	h(u	PROPN
ejpam-701	6	61	)	)	PUNCT
ejpam-701	6	62	consisting	consist	VERB
ejpam-701	6	63	of	of	ADP
ejpam-701	6	64	functions	function	NOUN
ejpam-701	6	65	of	of	ADP
ejpam-701	6	66	the	the	DET
ejpam-701	6	67	form	form	NOUN
ejpam-701	6	68	f	f	X
ejpam-701	6	69	(	(	PUNCT
ejpam-701	6	70	z	z	NOUN
ejpam-701	6	71	)	)	PUNCT
ejpam-701	6	72	=	=	SYM
ejpam-701	6	73	a+	a+	PUNCT
ejpam-701	6	74	anzn	anzn	NOUN
ejpam-701	6	75	+	+	CCONJ
ejpam-701	6	76	an+1zn+1	an+1zn+1	ADJ
ejpam-701	6	77	+	+	PUNCT
ejpam-701	6	78	.	.	PUNCT
ejpam-701	6	79	.	.	PUNCT
ejpam-701	6	80	.	.	PUNCT
ejpam-701	7	1	with	with	ADP
ejpam-701	7	2	h	h	NOUN
ejpam-701	7	3	=	=	NOUN
ejpam-701	7	4	h[1,1	h[1,1	NOUN
ejpam-701	7	5	]	]	PUNCT
ejpam-701	7	6	.	.	PUNCT
ejpam-701	8	1	if	if	SCONJ
ejpam-701	8	2	f	f	PROPN
ejpam-701	8	3	(	(	PUNCT
ejpam-701	8	4	z	z	NOUN
ejpam-701	8	5	)	)	PUNCT
ejpam-701	8	6	and	and	CCONJ
ejpam-701	8	7	g(z	g(z	PROPN
ejpam-701	8	8	)	)	PUNCT
ejpam-701	8	9	are	be	AUX
ejpam-701	8	10	members	member	NOUN
ejpam-701	8	11	of	of	ADP
ejpam-701	8	12	h(u	h(u	PROPN
ejpam-701	8	13	)	)	PUNCT
ejpam-701	8	14	,	,	PUNCT
ejpam-701	8	15	we	we	PRON
ejpam-701	8	16	say	say	VERB
ejpam-701	8	17	that	that	SCONJ
ejpam-701	8	18	f	f	PROPN
ejpam-701	8	19	(	(	PUNCT
ejpam-701	8	20	z	z	NOUN
ejpam-701	8	21	)	)	PUNCT
ejpam-701	8	22	is	be	AUX
ejpam-701	8	23	subordinate	subordinate	ADJ
ejpam-701	8	24	to	to	ADP
ejpam-701	8	25	g(z	g(z	PROPN
ejpam-701	8	26	)	)	PUNCT
ejpam-701	8	27	written	write	VERB
ejpam-701	8	28	symbolically	symbolically	ADV
ejpam-701	8	29	as	as	SCONJ
ejpam-701	8	30	follows	follow	VERB
ejpam-701	8	31	:	:	PUNCT
ejpam-701	8	32	f	f	NOUN
ejpam-701	8	33	≺	≺	NOUN
ejpam-701	8	34	g	g	PROPN
ejpam-701	8	35	or	or	CCONJ
ejpam-701	8	36	f	f	PROPN
ejpam-701	8	37	(	(	PUNCT
ejpam-701	8	38	z)≺	z)≺	PROPN
ejpam-701	8	39	g(z	g(z	PROPN
ejpam-701	8	40	)	)	PUNCT
ejpam-701	8	41	(	(	PUNCT
ejpam-701	8	42	z	z	NOUN
ejpam-701	8	43	∈	∈	PROPN
ejpam-701	8	44	u	u	NOUN
ejpam-701	8	45	)	)	PUNCT
ejpam-701	8	46	,	,	PUNCT
ejpam-701	8	47	∗corresponding	∗corresponde	VERB
ejpam-701	8	48	author	author	NOUN
ejpam-701	8	49	.	.	PUNCT
ejpam-701	9	1	email	email	NOUN
ejpam-701	9	2	addresses	address	NOUN
ejpam-701	9	3	:	:	PUNCT
ejpam-701	9	4	r_elashwah	r_elashwah	NOUN
ejpam-701	9	5	�	�	PROPN
ejpam-701	9	6	yahoo	yahoo	PROPN
ejpam-701	9	7	.	.	PUNCT
ejpam-701	9	8	om	om	PROPN
ejpam-701	9	9	(	(	PUNCT
ejpam-701	9	10	r.	r.	PROPN
ejpam-701	9	11	el	el	PROPN
ejpam-701	9	12	-	-	PROPN
ejpam-701	9	13	ashwah	ashwah	NOUN
ejpam-701	9	14	)	)	PUNCT
ejpam-701	9	15	,	,	PUNCT
ejpam-701	9	16	mkaouf127	mkaouf127	PROPN
ejpam-701	9	17	�	�	PROPN
ejpam-701	9	18	yahoo	yahoo	PROPN
ejpam-701	9	19	.	.	PUNCT
ejpam-701	10	1	om	om	PROPN
ejpam-701	10	2	(	(	PUNCT
ejpam-701	10	3	m.	m.	PROPN
ejpam-701	10	4	aouf	aouf	PROPN
ejpam-701	10	5	)	)	PUNCT
ejpam-701	10	6	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-701	10	7	1070	1070	NUM
ejpam-701	11	1	c	c	X
ejpam-701	11	2	©	©	PROPN
ejpam-701	11	3	2010	2010	NUM
ejpam-701	11	4	ejpam	ejpam	NOUN
ejpam-701	11	5	all	all	DET
ejpam-701	11	6	rights	right	NOUN
ejpam-701	11	7	reserved	reserve	VERB
ejpam-701	11	8	.	.	PUNCT
ejpam-701	12	1	r.	r.	PROPN
ejpam-701	12	2	el	el	PROPN
ejpam-701	12	3	-	-	PUNCT
ejpam-701	12	4	ashwah	ashwah	NOUN
ejpam-701	12	5	,	,	PUNCT
ejpam-701	12	6	m.	m.	NOUN
ejpam-701	12	7	aouf	aouf	PROPN
ejpam-701	12	8	/	/	SYM
ejpam-701	12	9	eur	eur	PROPN
ejpam-701	12	10	.	.	PUNCT
ejpam-701	13	1	j.	j.	PROPN
ejpam-701	13	2	pure	pure	PROPN
ejpam-701	13	3	appl	appl	PROPN
ejpam-701	13	4	.	.	PROPN
ejpam-701	13	5	math	math	PROPN
ejpam-701	13	6	,	,	PUNCT
ejpam-701	13	7	3	3	NUM
ejpam-701	13	8	(	(	PUNCT
ejpam-701	13	9	2010	2010	NUM
ejpam-701	13	10	)	)	PUNCT
ejpam-701	13	11	,	,	PUNCT
ejpam-701	13	12	1070	1070	NUM
ejpam-701	13	13	-	-	SYM
ejpam-701	13	14	1085	1085	NUM
ejpam-701	13	15	1071	1071	NUM
ejpam-701	13	16	if	if	SCONJ
ejpam-701	13	17	there	there	PRON
ejpam-701	13	18	exists	exist	VERB
ejpam-701	13	19	a	a	DET
ejpam-701	13	20	schwarz	schwarz	NOUN
ejpam-701	13	21	function	function	NOUN
ejpam-701	13	22	w(z	w(z	NOUN
ejpam-701	13	23	)	)	PUNCT
ejpam-701	13	24	,	,	PUNCT
ejpam-701	13	25	which	which	PRON
ejpam-701	13	26	(	(	PUNCT
ejpam-701	13	27	by	by	ADP
ejpam-701	13	28	definition	definition	NOUN
ejpam-701	13	29	)	)	PUNCT
ejpam-701	13	30	is	be	AUX
ejpam-701	13	31	analytic	analytic	ADJ
ejpam-701	13	32	in	in	ADP
ejpam-701	13	33	u	u	NOUN
ejpam-701	13	34	with	with	ADP
ejpam-701	13	35	w(0	w(0	PROPN
ejpam-701	13	36	)	)	PUNCT
ejpam-701	13	37	=	=	SYM
ejpam-701	13	38	0	0	NUM
ejpam-701	14	1	and	and	CCONJ
ejpam-701	14	2	|w(z)|	|w(z)|	VERB
ejpam-701	14	3	<	<	X
ejpam-701	14	4	1	1	NUM
ejpam-701	14	5	(	(	PUNCT
ejpam-701	14	6	z	z	NOUN
ejpam-701	14	7	∈	∈	PROPN
ejpam-701	14	8	u	u	NOUN
ejpam-701	14	9	)	)	PUNCT
ejpam-701	14	10	such	such	ADJ
ejpam-701	14	11	that	that	SCONJ
ejpam-701	14	12	f	f	PROPN
ejpam-701	14	13	(	(	PUNCT
ejpam-701	14	14	z	z	NOUN
ejpam-701	14	15	)	)	PUNCT
ejpam-701	14	16	=	=	PUNCT
ejpam-701	14	17	g(w(z	g(w(z	PROPN
ejpam-701	14	18	)	)	PUNCT
ejpam-701	14	19	)	)	PUNCT
ejpam-701	15	1	(	(	PUNCT
ejpam-701	15	2	z	z	NOUN
ejpam-701	15	3	∈	∈	PROPN
ejpam-701	15	4	u	u	NOUN
ejpam-701	15	5	)	)	PUNCT
ejpam-701	15	6	.	.	PUNCT
ejpam-701	16	1	indeed	indeed	ADV
ejpam-701	16	2	it	it	PRON
ejpam-701	16	3	is	be	AUX
ejpam-701	16	4	known	know	VERB
ejpam-701	16	5	that	that	SCONJ
ejpam-701	16	6	f	f	PROPN
ejpam-701	16	7	(	(	PUNCT
ejpam-701	16	8	z	z	NOUN
ejpam-701	16	9	)	)	PUNCT
ejpam-701	16	10	≺	≺	NOUN
ejpam-701	16	11	g(z	g(z	PROPN
ejpam-701	16	12	)	)	PUNCT
ejpam-701	16	13	(	(	PUNCT
ejpam-701	16	14	z	z	NOUN
ejpam-701	16	15	∈	∈	PROPN
ejpam-701	16	16	u	u	NOUN
ejpam-701	16	17	)	)	PUNCT
ejpam-701	16	18	⇒	⇒	PROPN
ejpam-701	16	19	f	f	PROPN
ejpam-701	16	20	(	(	PUNCT
ejpam-701	16	21	0	0	NUM
ejpam-701	16	22	)	)	PUNCT
ejpam-701	16	23	=	=	SYM
ejpam-701	16	24	g(0	g(0	PROPN
ejpam-701	16	25	)	)	PUNCT
ejpam-701	16	26	and	and	CCONJ
ejpam-701	16	27	f	f	PROPN
ejpam-701	16	28	(	(	PUNCT
ejpam-701	16	29	u	u	NOUN
ejpam-701	16	30	)	)	PUNCT
ejpam-701	16	31	⊂	⊂	PROPN
ejpam-701	16	32	g(u	g(u	PROPN
ejpam-701	16	33	)	)	PUNCT
ejpam-701	16	34	.	.	PUNCT
ejpam-701	17	1	further	far	ADV
ejpam-701	17	2	,	,	PUNCT
ejpam-701	17	3	if	if	SCONJ
ejpam-701	17	4	the	the	DET
ejpam-701	17	5	function	function	NOUN
ejpam-701	17	6	g(z	g(z	PROPN
ejpam-701	17	7	)	)	PUNCT
ejpam-701	17	8	is	be	AUX
ejpam-701	17	9	univalent	univalent	ADJ
ejpam-701	17	10	in	in	ADP
ejpam-701	17	11	u	u	PROPN
ejpam-701	17	12	,	,	PUNCT
ejpam-701	17	13	then	then	ADV
ejpam-701	17	14	we	we	PRON
ejpam-701	17	15	have	have	VERB
ejpam-701	17	16	the	the	DET
ejpam-701	17	17	following	follow	VERB
ejpam-701	17	18	equivalent	equivalent	NOUN
ejpam-701	17	19	(	(	PUNCT
ejpam-701	17	20	cf	cf	NOUN
ejpam-701	17	21	.	.	NOUN
ejpam-701	17	22	,	,	PUNCT
ejpam-701	17	23	e.g.	e.g.	ADV
ejpam-701	17	24	,	,	PUNCT
ejpam-701	17	25	[	[	X
ejpam-701	17	26	13	13	NUM
ejpam-701	17	27	]	]	PUNCT
ejpam-701	17	28	;	;	PUNCT
ejpam-701	17	29	see	see	VERB
ejpam-701	17	30	also	also	ADV
ejpam-701	17	31	[	[	X
ejpam-701	17	32	14	14	NUM
ejpam-701	17	33	,	,	PUNCT
ejpam-701	17	34	p.4	p.4	ADJ
ejpam-701	17	35	]	]	X
ejpam-701	17	36	)	)	PUNCT
ejpam-701	17	37	f	f	PROPN
ejpam-701	17	38	(	(	PUNCT
ejpam-701	17	39	z	z	NOUN
ejpam-701	17	40	)	)	PUNCT
ejpam-701	17	41	≺	≺	NOUN
ejpam-701	17	42	g(z	g(z	PROPN
ejpam-701	17	43	)	)	PUNCT
ejpam-701	17	44	⇔	⇔	PROPN
ejpam-701	17	45	f	f	X
ejpam-701	17	46	(	(	PUNCT
ejpam-701	17	47	0	0	NUM
ejpam-701	17	48	)	)	PUNCT
ejpam-701	17	49	=	=	SYM
ejpam-701	17	50	g(0	g(0	PROPN
ejpam-701	17	51	)	)	PUNCT
ejpam-701	17	52	and	and	CCONJ
ejpam-701	17	53	f	f	PROPN
ejpam-701	17	54	(	(	PUNCT
ejpam-701	17	55	u)⊂	u)⊂	CCONJ
ejpam-701	17	56	g(u	g(u	PROPN
ejpam-701	17	57	)	)	PUNCT
ejpam-701	17	58	.	.	PUNCT
ejpam-701	18	1	denote	denote	VERB
ejpam-701	18	2	by	by	ADP
ejpam-701	18	3	d	d	PROPN
ejpam-701	18	4	the	the	DET
ejpam-701	18	5	set	set	NOUN
ejpam-701	18	6	of	of	ADP
ejpam-701	18	7	all	all	DET
ejpam-701	18	8	functions	function	NOUN
ejpam-701	18	9	q(z	q(z	PROPN
ejpam-701	18	10	)	)	PUNCT
ejpam-701	18	11	that	that	PRON
ejpam-701	18	12	are	be	AUX
ejpam-701	18	13	analytic	analytic	ADJ
ejpam-701	18	14	and	and	CCONJ
ejpam-701	18	15	injective	injective	ADJ
ejpam-701	18	16	on	on	ADP
ejpam-701	18	17	u\e(q	u\e(q	PROPN
ejpam-701	18	18	)	)	PUNCT
ejpam-701	18	19	,	,	PUNCT
ejpam-701	18	20	where	where	SCONJ
ejpam-701	18	21	e(q	e(q	VERB
ejpam-701	18	22	)	)	PUNCT
ejpam-701	18	23	=	=	SYM
ejpam-701	18	24	�	�	PROPN
ejpam-701	18	25	ζ	ζ	PROPN
ejpam-701	18	26	∈	∈	PROPN
ejpam-701	18	27	∂	∂	NOUN
ejpam-701	18	28	u	u	NOUN
ejpam-701	18	29	:	:	PUNCT
ejpam-701	18	30	lim	lim	PROPN
ejpam-701	18	31	z→ζ	z→ζ	NUM
ejpam-701	18	32	q(z	q(z	PROPN
ejpam-701	18	33	)	)	PUNCT
ejpam-701	18	34	=	=	SYM
ejpam-701	18	35	∞	∞	PROPN
ejpam-701	18	36	�	�	PROPN
ejpam-701	18	37	,	,	PUNCT
ejpam-701	18	38	and	and	CCONJ
ejpam-701	18	39	are	be	AUX
ejpam-701	18	40	such	such	ADJ
ejpam-701	18	41	that	that	DET
ejpam-701	18	42	q	q	NOUN
ejpam-701	18	43	′	′	NUM
ejpam-701	18	44	(	(	PUNCT
ejpam-701	18	45	ζ	ζ	NOUN
ejpam-701	18	46	)	)	PUNCT
ejpam-701	18	47	6=	6=	ADP
ejpam-701	18	48	0	0	NUM
ejpam-701	18	49	for	for	ADP
ejpam-701	18	50	ζ	ζ	PROPN
ejpam-701	18	51	∈	∈	PROPN
ejpam-701	18	52	∂	∂	NOUN
ejpam-701	18	53	u\e(q	u\e(q	ADJ
ejpam-701	18	54	)	)	PUNCT
ejpam-701	18	55	.	.	PUNCT
ejpam-701	19	1	further	far	ADV
ejpam-701	19	2	let	let	VERB
ejpam-701	19	3	the	the	DET
ejpam-701	19	4	subclass	subclass	NOUN
ejpam-701	19	5	of	of	ADP
ejpam-701	19	6	d	d	PROPN
ejpam-701	19	7	for	for	ADP
ejpam-701	19	8	which	which	PRON
ejpam-701	19	9	q(0	q(0	PROPN
ejpam-701	19	10	)	)	PUNCT
ejpam-701	19	11	=	=	NOUN
ejpam-701	20	1	a	a	PRON
ejpam-701	20	2	be	be	AUX
ejpam-701	20	3	denoted	denote	VERB
ejpam-701	20	4	by	by	ADP
ejpam-701	20	5	d(a	d(a	PROPN
ejpam-701	20	6	)	)	PUNCT
ejpam-701	20	7	,	,	PUNCT
ejpam-701	20	8	and	and	CCONJ
ejpam-701	20	9	d(1	d(1	ADJ
ejpam-701	20	10	)	)	PUNCT
ejpam-701	20	11	=	=	SYM
ejpam-701	20	12	d1	d1	NOUN
ejpam-701	20	13	.	.	PUNCT
ejpam-701	21	1	the	the	DET
ejpam-701	21	2	following	follow	VERB
ejpam-701	21	3	classes	class	NOUN
ejpam-701	21	4	of	of	ADP
ejpam-701	21	5	admissible	admissible	ADJ
ejpam-701	21	6	functions	function	NOUN
ejpam-701	21	7	will	will	AUX
ejpam-701	21	8	be	be	AUX
ejpam-701	21	9	required	require	VERB
ejpam-701	21	10	.	.	PUNCT
ejpam-701	22	1	definition	definition	NOUN
ejpam-701	22	2	1	1	NUM
ejpam-701	22	3	(	(	PUNCT
ejpam-701	22	4	14	14	NUM
ejpam-701	22	5	,	,	PUNCT
ejpam-701	22	6	definition	definition	NOUN
ejpam-701	22	7	2.3a	2.3a	NUM
ejpam-701	22	8	,	,	PUNCT
ejpam-701	22	9	p.	p.	NOUN
ejpam-701	22	10	27	27	NUM
ejpam-701	22	11	)	)	PUNCT
ejpam-701	22	12	.	.	PUNCT
ejpam-701	23	1	let	let	VERB
ejpam-701	23	2	ω	ω	PRON
ejpam-701	23	3	be	be	AUX
ejpam-701	23	4	a	a	DET
ejpam-701	23	5	set	set	NOUN
ejpam-701	23	6	in	in	ADP
ejpam-701	23	7	c	c	NOUN
ejpam-701	23	8	,	,	PUNCT
ejpam-701	23	9	q	q	PROPN
ejpam-701	23	10	∈	∈	PROPN
ejpam-701	23	11	dand	dand	NOUN
ejpam-701	23	12	n	n	VERB
ejpam-701	23	13	be	be	VERB
ejpam-701	23	14	a	a	DET
ejpam-701	23	15	positive	positive	ADJ
ejpam-701	23	16	integer	integer	NOUN
ejpam-701	23	17	.	.	PUNCT
ejpam-701	24	1	the	the	DET
ejpam-701	24	2	class	class	NOUN
ejpam-701	24	3	of	of	ADP
ejpam-701	24	4	admissible	admissible	ADJ
ejpam-701	24	5	functions	function	NOUN
ejpam-701	24	6	ψn[ω	ψn[ω	PROPN
ejpam-701	24	7	,	,	PUNCT
ejpam-701	24	8	q	q	X
ejpam-701	24	9	]	]	PUNCT
ejpam-701	24	10	consists	consist	VERB
ejpam-701	24	11	of	of	ADP
ejpam-701	24	12	these	these	DET
ejpam-701	24	13	functions	function	NOUN
ejpam-701	24	14	ψ	ψ	NOUN
ejpam-701	24	15	:	:	PUNCT
ejpam-701	24	16	c3×u	c3×u	PROPN
ejpam-701	24	17	→	→	SYM
ejpam-701	24	18	c	c	NOUN
ejpam-701	24	19	that	that	PRON
ejpam-701	24	20	satisfy	satisfy	VERB
ejpam-701	24	21	the	the	DET
ejpam-701	24	22	admissibility	admissibility	NOUN
ejpam-701	24	23	condition	condition	NOUN
ejpam-701	24	24	ψ(r	ψ(r	PROPN
ejpam-701	24	25	,	,	PUNCT
ejpam-701	24	26	s	s	X
ejpam-701	24	27	,	,	PUNCT
ejpam-701	24	28	t	t	PROPN
ejpam-701	24	29	;	;	PUNCT
ejpam-701	24	30	z	z	X
ejpam-701	24	31	)	)	PUNCT
ejpam-701	24	32	/∈	/∈	PUNCT
ejpam-701	25	1	ω	ω	NUM
ejpam-701	25	2	whenever	whenever	SCONJ
ejpam-701	25	3	r	r	NOUN
ejpam-701	25	4	=	=	SYM
ejpam-701	25	5	q(ζ	q(ζ	ADJ
ejpam-701	25	6	)	)	PUNCT
ejpam-701	25	7	,	,	PUNCT
ejpam-701	25	8	s	s	X
ejpam-701	25	9	=	=	NOUN
ejpam-701	25	10	kζq	kζq	NOUN
ejpam-701	26	1	′	′	NUM
ejpam-701	26	2	(	(	PUNCT
ejpam-701	26	3	ζ	ζ	NOUN
ejpam-701	26	4	)	)	PUNCT
ejpam-701	26	5	and	and	CCONJ
ejpam-701	26	6	re	re	ADP
ejpam-701	26	7	§	§	PROPN
ejpam-701	26	8	t	t	PROPN
ejpam-701	26	9	s	s	PART
ejpam-701	26	10	+	+	ADJ
ejpam-701	26	11	1	1	NUM
ejpam-701	26	12	ª	ª	NOUN
ejpam-701	26	13	≥	≥	NOUN
ejpam-701	26	14	kre	kre	X
ejpam-701	26	15	(	(	PUNCT
ejpam-701	26	16	1	1	NUM
ejpam-701	26	17	+	+	NUM
ejpam-701	26	18	ζq	ζq	NOUN
ejpam-701	26	19	′′	′′	PROPN
ejpam-701	26	20	(	(	PUNCT
ejpam-701	26	21	ζ	ζ	NOUN
ejpam-701	26	22	)	)	PUNCT
ejpam-701	26	23	q	q	NOUN
ejpam-701	26	24	′	′	NUM
ejpam-701	26	25	(	(	PUNCT
ejpam-701	26	26	ζ	ζ	NOUN
ejpam-701	26	27	)	)	PUNCT
ejpam-701	26	28	)	)	PUNCT
ejpam-701	26	29	,	,	PUNCT
ejpam-701	26	30	where	where	SCONJ
ejpam-701	26	31	z	z	PROPN
ejpam-701	26	32	∈	∈	PROPN
ejpam-701	26	33	u	u	NOUN
ejpam-701	26	34	,	,	PUNCT
ejpam-701	26	35	ζ	ζ	PROPN
ejpam-701	26	36	∈	∈	PROPN
ejpam-701	26	37	∂	∂	NOUN
ejpam-701	26	38	u\e(q	u\e(q	ADJ
ejpam-701	26	39	)	)	PUNCT
ejpam-701	26	40	and	and	CCONJ
ejpam-701	26	41	k	k	PROPN
ejpam-701	26	42	≥	≥	PROPN
ejpam-701	26	43	n.	n.	NOUN
ejpam-701	26	44	we	we	PRON
ejpam-701	26	45	write	write	VERB
ejpam-701	26	46	ψ1[ω	ψ1[ω	PROPN
ejpam-701	26	47	,	,	PUNCT
ejpam-701	26	48	q	q	X
ejpam-701	26	49	]	]	X
ejpam-701	26	50	as	as	ADP
ejpam-701	26	51	ψ[ω	ψ[ω	NOUN
ejpam-701	26	52	,	,	PUNCT
ejpam-701	26	53	q	q	X
ejpam-701	26	54	]	]	X
ejpam-701	26	55	.	.	PUNCT
ejpam-701	27	1	in	in	ADP
ejpam-701	27	2	particular	particular	ADJ
ejpam-701	27	3	when	when	SCONJ
ejpam-701	27	4	q(z	q(z	PROPN
ejpam-701	27	5	)	)	PUNCT
ejpam-701	27	6	=	=	PUNCT
ejpam-701	27	7	m	m	VERB
ejpam-701	27	8	mz	mz	NOUN
ejpam-701	27	9	+	+	CCONJ
ejpam-701	27	10	a	a	DET
ejpam-701	27	11	m	m	NOUN
ejpam-701	27	12	+	+	X
ejpam-701	27	13	az	az	PROPN
ejpam-701	27	14	,	,	PUNCT
ejpam-701	27	15	with	with	ADP
ejpam-701	27	16	m	m	PROPN
ejpam-701	27	17	>	>	X
ejpam-701	27	18	0	0	PUNCT
ejpam-701	28	1	and	and	CCONJ
ejpam-701	28	2	|a|	|a|	NOUN
ejpam-701	28	3	<	<	X
ejpam-701	28	4	m	m	PROPN
ejpam-701	28	5	,	,	PUNCT
ejpam-701	28	6	then	then	ADV
ejpam-701	28	7	q(u	q(u	X
ejpam-701	28	8	)	)	PUNCT
ejpam-701	29	1	=	=	SYM
ejpam-701	29	2	um	um	INTJ
ejpam-701	29	3	=	=	PUNCT
ejpam-701	29	4	{	{	PUNCT
ejpam-701	29	5	w	w	NOUN
ejpam-701	29	6	:	:	PUNCT
ejpam-701	29	7	|w|	|w|	VERB
ejpam-701	29	8	<	<	X
ejpam-701	29	9	m	m	NOUN
ejpam-701	29	10	}	}	PUNCT
ejpam-701	29	11	,	,	PUNCT
ejpam-701	29	12	q(0	q(0	PROPN
ejpam-701	29	13	)	)	PUNCT
ejpam-701	29	14	=	=	SYM
ejpam-701	30	1	a	a	PRON
ejpam-701	30	2	,	,	PUNCT
ejpam-701	30	3	e(q	e(q	PROPN
ejpam-701	30	4	)	)	PUNCT
ejpam-701	30	5	=	=	SYM
ejpam-701	30	6	φ	φ	PROPN
ejpam-701	30	7	and	and	CCONJ
ejpam-701	30	8	q	q	PROPN
ejpam-701	30	9	∈	∈	PROPN
ejpam-701	30	10	d(a	d(a	PROPN
ejpam-701	30	11	)	)	PUNCT
ejpam-701	30	12	.	.	PUNCT
ejpam-701	31	1	in	in	ADP
ejpam-701	31	2	this	this	DET
ejpam-701	31	3	case	case	NOUN
ejpam-701	31	4	,	,	PUNCT
ejpam-701	31	5	we	we	PRON
ejpam-701	31	6	set	set	VERB
ejpam-701	31	7	ψn[ω	ψn[ω	PROPN
ejpam-701	31	8	,	,	PUNCT
ejpam-701	31	9	m	m	PRON
ejpam-701	31	10	,	,	PUNCT
ejpam-701	31	11	a	a	X
ejpam-701	31	12	]	]	X
ejpam-701	31	13	=	=	SYM
ejpam-701	31	14	ψn[ω	ψn[ω	NOUN
ejpam-701	31	15	,	,	PUNCT
ejpam-701	31	16	q	q	NOUN
ejpam-701	31	17	]	]	X
ejpam-701	31	18	,	,	PUNCT
ejpam-701	31	19	and	and	CCONJ
ejpam-701	31	20	in	in	ADP
ejpam-701	31	21	the	the	DET
ejpam-701	31	22	special	special	ADJ
ejpam-701	31	23	case	case	NOUN
ejpam-701	31	24	when	when	SCONJ
ejpam-701	31	25	the	the	DET
ejpam-701	31	26	set	set	NOUN
ejpam-701	31	27	ω	ω	PROPN
ejpam-701	31	28	=	=	X
ejpam-701	31	29	um	um	INTJ
ejpam-701	31	30	,	,	PUNCT
ejpam-701	31	31	the	the	DET
ejpam-701	31	32	class	class	NOUN
ejpam-701	31	33	is	be	AUX
ejpam-701	31	34	simply	simply	ADV
ejpam-701	31	35	denoted	denote	VERB
ejpam-701	31	36	by	by	ADP
ejpam-701	31	37	ψn[m	ψn[m	PROPN
ejpam-701	31	38	,	,	PUNCT
ejpam-701	31	39	a	a	PRON
ejpam-701	31	40	]	]	X
ejpam-701	31	41	.	.	PUNCT
ejpam-701	32	1	definition	definition	NOUN
ejpam-701	32	2	2	2	NUM
ejpam-701	32	3	(	(	PUNCT
ejpam-701	32	4	15	15	NUM
ejpam-701	32	5	,	,	PUNCT
ejpam-701	32	6	definition	definition	NOUN
ejpam-701	32	7	3	3	NUM
ejpam-701	32	8	,	,	PUNCT
ejpam-701	32	9	p.	p.	NOUN
ejpam-701	32	10	817	817	NUM
ejpam-701	32	11	)	)	PUNCT
ejpam-701	32	12	.	.	PUNCT
ejpam-701	33	1	let	let	VERB
ejpam-701	33	2	ω	ω	PRON
ejpam-701	33	3	be	be	AUX
ejpam-701	33	4	a	a	DET
ejpam-701	33	5	set	set	NOUN
ejpam-701	33	6	in	in	ADP
ejpam-701	33	7	c	c	NOUN
ejpam-701	33	8	,	,	PUNCT
ejpam-701	33	9	q	q	PROPN
ejpam-701	33	10	∈	∈	PROPN
ejpam-701	33	11	h[a	h[a	PROPN
ejpam-701	33	12	,	,	PUNCT
ejpam-701	33	13	n	n	CCONJ
ejpam-701	33	14	]	]	PUNCT
ejpam-701	33	15	with	with	ADP
ejpam-701	33	16	q	q	PROPN
ejpam-701	33	17	′	′	NUM
ejpam-701	33	18	(	(	PUNCT
ejpam-701	33	19	z	z	NOUN
ejpam-701	33	20	)	)	PUNCT
ejpam-701	33	21	6=	6=	ADP
ejpam-701	33	22	0	0	X
ejpam-701	33	23	.	.	PUNCT
ejpam-701	34	1	the	the	DET
ejpam-701	34	2	class	class	NOUN
ejpam-701	34	3	of	of	ADP
ejpam-701	34	4	admissible	admissible	ADJ
ejpam-701	34	5	functions	function	NOUN
ejpam-701	34	6	ψ	ψ	NOUN
ejpam-701	34	7	′	′	NOUN
ejpam-701	34	8	n[ω	n[ω	NOUN
ejpam-701	34	9	,	,	PUNCT
ejpam-701	34	10	q	q	X
ejpam-701	34	11	]	]	PUNCT
ejpam-701	34	12	consists	consist	VERB
ejpam-701	34	13	of	of	ADP
ejpam-701	34	14	these	these	DET
ejpam-701	34	15	functions	function	NOUN
ejpam-701	34	16	ψ	ψ	NOUN
ejpam-701	34	17	:	:	PUNCT
ejpam-701	34	18	c3×	c3×	VERB
ejpam-701	34	19	u	u	NOUN
ejpam-701	34	20	→	→	SYM
ejpam-701	34	21	c	c	X
ejpam-701	34	22	that	that	PRON
ejpam-701	34	23	satisfy	satisfy	VERB
ejpam-701	34	24	the	the	DET
ejpam-701	34	25	admissibility	admissibility	NOUN
ejpam-701	34	26	condition	condition	NOUN
ejpam-701	34	27	ψ(r	ψ(r	PROPN
ejpam-701	34	28	,	,	PUNCT
ejpam-701	34	29	s	s	NOUN
ejpam-701	34	30	,	,	PUNCT
ejpam-701	34	31	t;ζ	t;ζ	NUM
ejpam-701	34	32	)	)	PUNCT
ejpam-701	34	33	∈	∈	PROPN
ejpam-701	34	34	ω	ω	NUM
ejpam-701	34	35	whenever	whenever	SCONJ
ejpam-701	34	36	r	r	NOUN
ejpam-701	34	37	=	=	SYM
ejpam-701	34	38	q(z	q(z	PROPN
ejpam-701	34	39	)	)	PUNCT
ejpam-701	34	40	,	,	PUNCT
ejpam-701	34	41	s	s	PART
ejpam-701	34	42	=	=	SYM
ejpam-701	34	43	zq	zq	PROPN
ejpam-701	34	44	′	′	NUM
ejpam-701	34	45	(	(	PUNCT
ejpam-701	34	46	z	z	X
ejpam-701	34	47	)	)	PUNCT
ejpam-701	34	48	m	m	PROPN
ejpam-701	34	49	,	,	PUNCT
ejpam-701	34	50	and	and	CCONJ
ejpam-701	34	51	re	re	ADP
ejpam-701	34	52	§	§	PROPN
ejpam-701	34	53	t	t	PROPN
ejpam-701	34	54	s	s	PART
ejpam-701	34	55	+	+	PROPN
ejpam-701	34	56	1	1	NUM
ejpam-701	34	57	ª	ª	SYM
ejpam-701	34	58	≤	≤	NUM
ejpam-701	34	59	1	1	NUM
ejpam-701	34	60	m	m	VERB
ejpam-701	34	61	re	re	VERB
ejpam-701	34	62	(	(	PUNCT
ejpam-701	34	63	1	1	NUM
ejpam-701	34	64	+	+	NUM
ejpam-701	34	65	zq	zq	PROPN
ejpam-701	34	66	′′	′′	PROPN
ejpam-701	34	67	(	(	PUNCT
ejpam-701	34	68	z	z	NOUN
ejpam-701	34	69	)	)	PUNCT
ejpam-701	34	70	q	q	NOUN
ejpam-701	35	1	′	′	NUM
ejpam-701	35	2	(	(	PUNCT
ejpam-701	35	3	z	z	NOUN
ejpam-701	35	4	)	)	PUNCT
ejpam-701	35	5	)	)	PUNCT
ejpam-701	35	6	,	,	PUNCT
ejpam-701	35	7	where	where	SCONJ
ejpam-701	35	8	z	z	PROPN
ejpam-701	35	9	∈	∈	PROPN
ejpam-701	35	10	u	u	NOUN
ejpam-701	35	11	,	,	PUNCT
ejpam-701	35	12	ζ	ζ	PROPN
ejpam-701	35	13	∈	∈	PROPN
ejpam-701	35	14	∂	∂	NUM
ejpam-701	35	15	u	u	NOUN
ejpam-701	35	16	and	and	CCONJ
ejpam-701	35	17	m	m	PROPN
ejpam-701	35	18	≥	≥	NOUN
ejpam-701	35	19	n≥	n≥	NOUN
ejpam-701	35	20	1	1	X
ejpam-701	35	21	.	.	PUNCT
ejpam-701	36	1	in	in	ADP
ejpam-701	36	2	particular	particular	ADJ
ejpam-701	36	3	,	,	PUNCT
ejpam-701	36	4	we	we	PRON
ejpam-701	36	5	write	write	VERB
ejpam-701	36	6	ψ	ψ	X
ejpam-701	36	7	′	′	NOUN
ejpam-701	36	8	1[ω	1[ω	NUM
ejpam-701	36	9	,	,	PUNCT
ejpam-701	36	10	q	q	X
ejpam-701	36	11	]	]	X
ejpam-701	36	12	as	as	ADP
ejpam-701	36	13	ψ	ψ	X
ejpam-701	36	14	′	′	NUM
ejpam-701	37	1	[	[	X
ejpam-701	37	2	ω	ω	NOUN
ejpam-701	37	3	,	,	PUNCT
ejpam-701	37	4	q	q	X
ejpam-701	37	5	]	]	X
ejpam-701	37	6	.	.	PUNCT
ejpam-701	38	1	in	in	ADP
ejpam-701	38	2	our	our	PRON
ejpam-701	38	3	investigations	investigation	NOUN
ejpam-701	38	4	we	we	PRON
ejpam-701	38	5	shall	shall	AUX
ejpam-701	38	6	need	need	VERB
ejpam-701	38	7	the	the	DET
ejpam-701	38	8	following	follow	VERB
ejpam-701	38	9	lemmas	lemmas	NOUN
ejpam-701	38	10	.	.	PUNCT
ejpam-701	39	1	lemma	lemma	PROPN
ejpam-701	39	2	1	1	NUM
ejpam-701	39	3	(	(	PUNCT
ejpam-701	39	4	14	14	NUM
ejpam-701	39	5	,	,	PUNCT
ejpam-701	39	6	theorem	theorem	ADJ
ejpam-701	39	7	2.3b	2.3b	NUM
ejpam-701	39	8	,	,	PUNCT
ejpam-701	39	9	p.	p.	NOUN
ejpam-701	39	10	28	28	NUM
ejpam-701	39	11	)	)	PUNCT
ejpam-701	39	12	.	.	PUNCT
ejpam-701	40	1	let	let	VERB
ejpam-701	40	2	ψ	ψ	PRON
ejpam-701	40	3	∈	∈	PROPN
ejpam-701	40	4	ψn[ω	ψn[ω	PROPN
ejpam-701	40	5	,	,	PUNCT
ejpam-701	40	6	q	q	X
ejpam-701	40	7	]	]	X
ejpam-701	40	8	with	with	ADP
ejpam-701	40	9	q(0	q(0	PROPN
ejpam-701	40	10	)	)	PUNCT
ejpam-701	40	11	=	=	PUNCT
ejpam-701	41	1	a.	a.	NOUN
ejpam-701	41	2	if	if	SCONJ
ejpam-701	41	3	the	the	DET
ejpam-701	41	4	analytic	analytic	ADJ
ejpam-701	41	5	function	function	NOUN
ejpam-701	41	6	p(z	p(z	NOUN
ejpam-701	41	7	)	)	PUNCT
ejpam-701	41	8	=	=	SYM
ejpam-701	41	9	a+	a+	PUNCT
ejpam-701	41	10	anzn	anzn	NOUN
ejpam-701	41	11	+	+	CCONJ
ejpam-701	41	12	an+1zn+1	an+1zn+1	ADJ
ejpam-701	41	13	+	+	PUNCT
ejpam-701	41	14	.	.	PUNCT
ejpam-701	41	15	.	.	PUNCT
ejpam-701	41	16	.	.	PUNCT
ejpam-701	42	1	satisfies	satisfie	NOUN
ejpam-701	42	2	ψ(p(z	ψ(p(z	VERB
ejpam-701	42	3	)	)	PUNCT
ejpam-701	42	4	,	,	PUNCT
ejpam-701	42	5	zp	zp	NOUN
ejpam-701	42	6	′	′	NUM
ejpam-701	43	1	(	(	PUNCT
ejpam-701	43	2	z	z	NOUN
ejpam-701	43	3	)	)	PUNCT
ejpam-701	43	4	,	,	PUNCT
ejpam-701	43	5	z2p	z2p	PROPN
ejpam-701	43	6	′′	′′	PROPN
ejpam-701	43	7	(	(	PUNCT
ejpam-701	43	8	z	z	PROPN
ejpam-701	43	9	)	)	PUNCT
ejpam-701	43	10	;	;	PUNCT
ejpam-701	43	11	z	z	X
ejpam-701	43	12	)	)	PUNCT
ejpam-701	43	13	∈	∈	PROPN
ejpam-701	43	14	ω	ω	PROPN
ejpam-701	43	15	,	,	PUNCT
ejpam-701	43	16	then	then	ADV
ejpam-701	43	17	p(z	p(z	NOUN
ejpam-701	43	18	)	)	PUNCT
ejpam-701	43	19	≺	≺	NOUN
ejpam-701	43	20	q(z	q(z	PROPN
ejpam-701	43	21	)	)	PUNCT
ejpam-701	43	22	.	.	PUNCT
ejpam-701	44	1	r.	r.	PROPN
ejpam-701	44	2	el	el	PROPN
ejpam-701	44	3	-	-	PUNCT
ejpam-701	44	4	ashwah	ashwah	NOUN
ejpam-701	44	5	,	,	PUNCT
ejpam-701	44	6	m.	m.	NOUN
ejpam-701	44	7	aouf	aouf	PROPN
ejpam-701	44	8	/	/	SYM
ejpam-701	44	9	eur	eur	PROPN
ejpam-701	44	10	.	.	PUNCT
ejpam-701	45	1	j.	j.	PROPN
ejpam-701	45	2	pure	pure	PROPN
ejpam-701	45	3	appl	appl	PROPN
ejpam-701	45	4	.	.	PROPN
ejpam-701	45	5	math	math	PROPN
ejpam-701	45	6	,	,	PUNCT
ejpam-701	45	7	3	3	NUM
ejpam-701	45	8	(	(	PUNCT
ejpam-701	45	9	2010	2010	NUM
ejpam-701	45	10	)	)	PUNCT
ejpam-701	45	11	,	,	PUNCT
ejpam-701	45	12	1070	1070	NUM
ejpam-701	45	13	-	-	SYM
ejpam-701	45	14	1085	1085	NUM
ejpam-701	45	15	1072	1072	NUM
ejpam-701	45	16	lemma	lemma	PROPN
ejpam-701	45	17	2	2	NUM
ejpam-701	45	18	(	(	PUNCT
ejpam-701	45	19	15	15	NUM
ejpam-701	45	20	,	,	PUNCT
ejpam-701	45	21	theorem	theorem	ADJ
ejpam-701	45	22	1	1	NUM
ejpam-701	45	23	,	,	PUNCT
ejpam-701	45	24	p.	p.	NOUN
ejpam-701	45	25	818	818	NUM
ejpam-701	45	26	)	)	PUNCT
ejpam-701	45	27	.	.	PUNCT
ejpam-701	46	1	let	let	VERB
ejpam-701	46	2	ψ	ψ	ADP
ejpam-701	46	3	∈	∈	NOUN
ejpam-701	46	4	ψ	ψ	NOUN
ejpam-701	46	5	′	′	NOUN
ejpam-701	46	6	n[ω	n[ω	NOUN
ejpam-701	46	7	,	,	PUNCT
ejpam-701	46	8	q	q	X
ejpam-701	46	9	]	]	X
ejpam-701	46	10	with	with	ADP
ejpam-701	46	11	q(0	q(0	PROPN
ejpam-701	46	12	)	)	PUNCT
ejpam-701	46	13	=	=	PUNCT
ejpam-701	47	1	a.	a.	NOUN
ejpam-701	47	2	if	if	SCONJ
ejpam-701	47	3	p(z	p(z	NOUN
ejpam-701	47	4	)	)	PUNCT
ejpam-701	47	5	∈	∈	PROPN
ejpam-701	47	6	d(a	d(a	PROPN
ejpam-701	47	7	)	)	PUNCT
ejpam-701	47	8	and	and	CCONJ
ejpam-701	47	9	ψ(p(z	ψ(p(z	NOUN
ejpam-701	47	10	)	)	PUNCT
ejpam-701	47	11	,	,	PUNCT
ejpam-701	47	12	zp	zp	NOUN
ejpam-701	47	13	′	′	NUM
ejpam-701	47	14	(	(	PUNCT
ejpam-701	47	15	z	z	NOUN
ejpam-701	47	16	)	)	PUNCT
ejpam-701	47	17	,	,	PUNCT
ejpam-701	48	1	z2p	z2p	PROPN
ejpam-701	48	2	′′	′′	PROPN
ejpam-701	48	3	(	(	PUNCT
ejpam-701	48	4	z	z	PROPN
ejpam-701	48	5	)	)	PUNCT
ejpam-701	48	6	;	;	PUNCT
ejpam-701	48	7	z	z	X
ejpam-701	48	8	)	)	PUNCT
ejpam-701	48	9	is	be	AUX
ejpam-701	48	10	univalent	univalent	ADJ
ejpam-701	48	11	in	in	ADP
ejpam-701	48	12	u	u	PROPN
ejpam-701	48	13	then	then	ADV
ejpam-701	48	14	ω⊂	ω⊂	PROPN
ejpam-701	48	15	¦	¦	PROPN
ejpam-701	48	16	ψ(p(z	ψ(p(z	PROPN
ejpam-701	48	17	)	)	PUNCT
ejpam-701	48	18	,	,	PUNCT
ejpam-701	48	19	zp	zp	NOUN
ejpam-701	48	20	′	′	NUM
ejpam-701	49	1	(	(	PUNCT
ejpam-701	49	2	z	z	NOUN
ejpam-701	49	3	)	)	PUNCT
ejpam-701	49	4	,	,	PUNCT
ejpam-701	49	5	z2p	z2p	PROPN
ejpam-701	49	6	′′	′′	PROPN
ejpam-701	49	7	(	(	PUNCT
ejpam-701	49	8	z	z	PROPN
ejpam-701	49	9	)	)	PUNCT
ejpam-701	49	10	;	;	PUNCT
ejpam-701	49	11	z	z	X
ejpam-701	49	12	)	)	PUNCT
ejpam-701	49	13	:	:	PUNCT
ejpam-701	49	14	z	z	X
ejpam-701	49	15	∈	∈	PRON
ejpam-701	49	16	u	u	NOUN
ejpam-701	49	17	©	©	PROPN
ejpam-701	49	18	implies	imply	VERB
ejpam-701	49	19	q(z)≺	q(z)≺	X
ejpam-701	49	20	p(z	p(z	VERB
ejpam-701	49	21	)	)	PUNCT
ejpam-701	49	22	.	.	PUNCT
ejpam-701	50	1	let	let	AUX
ejpam-701	50	2	∑	∑	VERB
ejpam-701	50	3	(	(	PUNCT
ejpam-701	50	4	p	p	NOUN
ejpam-701	50	5	)	)	PUNCT
ejpam-701	50	6	denote	denote	VERB
ejpam-701	50	7	the	the	DET
ejpam-701	50	8	class	class	NOUN
ejpam-701	50	9	of	of	ADP
ejpam-701	50	10	functions	function	NOUN
ejpam-701	50	11	of	of	ADP
ejpam-701	50	12	the	the	DET
ejpam-701	50	13	form	form	NOUN
ejpam-701	50	14	:	:	PUNCT
ejpam-701	50	15	f	f	PROPN
ejpam-701	50	16	(	(	PUNCT
ejpam-701	50	17	z	z	NOUN
ejpam-701	50	18	)	)	PUNCT
ejpam-701	50	19	=	=	PUNCT
ejpam-701	51	1	z−p	z−p	NOUN
ejpam-701	51	2	+	+	CCONJ
ejpam-701	51	3	∞	∞	PROPN
ejpam-701	51	4	∑	∑	PUNCT
ejpam-701	51	5	k=1−p	k=1−p	VERB
ejpam-701	51	6	akzk	akzk	PROPN
ejpam-701	51	7	(	(	PUNCT
ejpam-701	51	8	p	p	NOUN
ejpam-701	51	9	∈	∈	PROPN
ejpam-701	51	10	n	n	NOUN
ejpam-701	51	11	=	=	SYM
ejpam-701	51	12	{	{	PUNCT
ejpam-701	51	13	1,2	1,2	NUM
ejpam-701	51	14	,	,	PUNCT
ejpam-701	51	15	.	.	PUNCT
ejpam-701	51	16	.	.	PUNCT
ejpam-701	51	17	.	.	PUNCT
ejpam-701	52	1	.	.	PUNCT
ejpam-701	53	1	}	}	PUNCT
ejpam-701	53	2	;	;	PUNCT
ejpam-701	53	3	z	z	X
ejpam-701	53	4	∈	∈	NOUN
ejpam-701	53	5	u∗	u∗	NOUN
ejpam-701	53	6	=	=	SYM
ejpam-701	53	7	u\{0	u\{0	PROPN
ejpam-701	53	8	}	}	PUNCT
ejpam-701	53	9	)	)	PUNCT
ejpam-701	53	10	,	,	PUNCT
ejpam-701	53	11	(	(	PUNCT
ejpam-701	53	12	1	1	X
ejpam-701	53	13	)	)	PUNCT
ejpam-701	53	14	which	which	PRON
ejpam-701	53	15	are	be	AUX
ejpam-701	53	16	analytic	analytic	ADJ
ejpam-701	53	17	and	and	CCONJ
ejpam-701	53	18	p	p	NOUN
ejpam-701	53	19	-	-	PUNCT
ejpam-701	53	20	valent	valent	NOUN
ejpam-701	53	21	in	in	ADP
ejpam-701	53	22	u∗.	u∗.	PROPN
ejpam-701	53	23	for	for	ADP
ejpam-701	53	24	functions	function	NOUN
ejpam-701	53	25	f	f	PROPN
ejpam-701	53	26	j(z	j(z	PROPN
ejpam-701	53	27	)	)	PUNCT
ejpam-701	53	28	∈	∈	PROPN
ejpam-701	53	29	∑	∑	PUNCT
ejpam-701	53	30	(	(	PUNCT
ejpam-701	53	31	p	p	NOUN
ejpam-701	53	32	)	)	PUNCT
ejpam-701	53	33	,	,	PUNCT
ejpam-701	53	34	given	give	VERB
ejpam-701	53	35	by	by	ADP
ejpam-701	53	36	f	f	PROPN
ejpam-701	53	37	j(z	j(z	PROPN
ejpam-701	53	38	)	)	PUNCT
ejpam-701	53	39	=	=	PUNCT
ejpam-701	54	1	z−p	z−p	NOUN
ejpam-701	54	2	+	+	CCONJ
ejpam-701	54	3	∞	∞	PROPN
ejpam-701	54	4	∑	∑	PROPN
ejpam-701	54	5	k=1−p	k=1−p	PROPN
ejpam-701	54	6	ak	ak	PROPN
ejpam-701	54	7	,	,	PUNCT
ejpam-701	54	8	jz	jz	PROPN
ejpam-701	54	9	k	k	PROPN
ejpam-701	55	1	(	(	PUNCT
ejpam-701	55	2	j	j	PROPN
ejpam-701	55	3	=	=	SYM
ejpam-701	55	4	1,2	1,2	NUM
ejpam-701	55	5	)	)	PUNCT
ejpam-701	55	6	,	,	PUNCT
ejpam-701	55	7	(	(	PUNCT
ejpam-701	55	8	2	2	X
ejpam-701	55	9	)	)	PUNCT
ejpam-701	55	10	we	we	PRON
ejpam-701	55	11	define	define	VERB
ejpam-701	55	12	the	the	DET
ejpam-701	55	13	hadamard	hadamard	ADJ
ejpam-701	55	14	product	product	NOUN
ejpam-701	55	15	(	(	PUNCT
ejpam-701	55	16	or	or	CCONJ
ejpam-701	55	17	convolution	convolution	NOUN
ejpam-701	55	18	)	)	PUNCT
ejpam-701	55	19	of	of	ADP
ejpam-701	55	20	f1(z	f1(z	PROPN
ejpam-701	55	21	)	)	PUNCT
ejpam-701	55	22	and	and	CCONJ
ejpam-701	55	23	f2(z	f2(z	NOUN
ejpam-701	55	24	)	)	PUNCT
ejpam-701	55	25	by	by	ADP
ejpam-701	55	26	(	(	PUNCT
ejpam-701	55	27	f1	f1	PROPN
ejpam-701	55	28	∗	∗	NOUN
ejpam-701	55	29	f2)(z	f2)(z	PROPN
ejpam-701	55	30	)	)	PUNCT
ejpam-701	55	31	=	=	PUNCT
ejpam-701	56	1	z−p	z−p	NOUN
ejpam-701	56	2	+	+	CCONJ
ejpam-701	56	3	∞	∞	PROPN
ejpam-701	56	4	∑	∑	PUNCT
ejpam-701	56	5	k=1−p	k=1−p	VERB
ejpam-701	56	6	ak,1ak,2zk	ak,1ak,2zk	PROPN
ejpam-701	57	1	=	=	PRON
ejpam-701	58	1	(	(	PUNCT
ejpam-701	58	2	f2	f2	PROPN
ejpam-701	58	3	∗	∗	NOUN
ejpam-701	58	4	f1)(z	f1)(z	NOUN
ejpam-701	58	5	)	)	PUNCT
ejpam-701	58	6	.	.	PUNCT
ejpam-701	59	1	(	(	PUNCT
ejpam-701	59	2	3	3	X
ejpam-701	59	3	)	)	PUNCT
ejpam-701	59	4	now	now	ADV
ejpam-701	59	5	,	,	PUNCT
ejpam-701	59	6	using	use	VERB
ejpam-701	59	7	the	the	DET
ejpam-701	59	8	linear	linear	ADJ
ejpam-701	59	9	operator	operator	NOUN
ejpam-701	60	1	i	i	PRON
ejpam-701	60	2	m	m	VERB
ejpam-701	60	3	p	p	X
ejpam-701	60	4	(	(	PUNCT
ejpam-701	60	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	60	6	)	)	PUNCT
ejpam-701	60	7	(	(	PUNCT
ejpam-701	60	8	λ	λ	X
ejpam-701	60	9	≥	≥	NOUN
ejpam-701	60	10	0,ℓ	0,ℓ	X
ejpam-701	60	11	>	>	X
ejpam-701	60	12	0	0	NUM
ejpam-701	60	13	,	,	PUNCT
ejpam-701	60	14	m	m	PROPN
ejpam-701	60	15	∈	∈	PROPN
ejpam-701	60	16	n0	n0	X
ejpam-701	60	17	=	=	PUNCT
ejpam-701	60	18	n	n	PROPN
ejpam-701	60	19	⋃	⋃	PROPN
ejpam-701	60	20	{	{	PUNCT
ejpam-701	60	21	0	0	NUM
ejpam-701	60	22	}	}	PUNCT
ejpam-701	60	23	)	)	PUNCT
ejpam-701	60	24	introduced	introduce	VERB
ejpam-701	60	25	by	by	ADP
ejpam-701	60	26	el	el	PROPN
ejpam-701	60	27	-	-	NOUN
ejpam-701	60	28	ashwah	ashwah	NOUN
ejpam-701	61	1	[	[	X
ejpam-701	61	2	9	9	NUM
ejpam-701	61	3	]	]	PUNCT
ejpam-701	61	4	for	for	ADP
ejpam-701	61	5	a	a	DET
ejpam-701	61	6	function	function	NOUN
ejpam-701	61	7	f	f	X
ejpam-701	61	8	(	(	PUNCT
ejpam-701	61	9	z	z	NOUN
ejpam-701	61	10	)	)	PUNCT
ejpam-701	61	11	∈	∈	PROPN
ejpam-701	61	12	∑	∑	PUNCT
ejpam-701	61	13	(	(	PUNCT
ejpam-701	61	14	p	p	NOUN
ejpam-701	61	15	)	)	PUNCT
ejpam-701	61	16	given	give	VERB
ejpam-701	61	17	by	by	ADP
ejpam-701	61	18	(	(	PUNCT
ejpam-701	61	19	1	1	NUM
ejpam-701	61	20	)	)	PUNCT
ejpam-701	61	21	as	as	SCONJ
ejpam-701	61	22	follows	follow	VERB
ejpam-701	61	23	:	:	PUNCT
ejpam-701	62	1	i	i	PRON
ejpam-701	62	2	m	m	VERB
ejpam-701	62	3	p	p	X
ejpam-701	62	4	(	(	PUNCT
ejpam-701	62	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	62	6	)	)	PUNCT
ejpam-701	62	7	f	f	NOUN
ejpam-701	62	8	(	(	PUNCT
ejpam-701	62	9	z	z	NOUN
ejpam-701	62	10	)	)	PUNCT
ejpam-701	62	11	=	=	PUNCT
ejpam-701	62	12	z−p	z−p	NOUN
ejpam-701	62	13	+	+	CCONJ
ejpam-701	62	14	∞	∞	PROPN
ejpam-701	62	15	∑	∑	PUNCT
ejpam-701	62	16	k=1−p	k=1−p	VERB
ejpam-701	62	17	�	�	PROPN
ejpam-701	62	18	ℓ+λ(k+	ℓ+λ(k+	PROPN
ejpam-701	62	19	p	p	PROPN
ejpam-701	62	20	)	)	PUNCT
ejpam-701	62	21	ℓ	ℓ	PROPN
ejpam-701	62	22	�	�	PROPN
ejpam-701	62	23	m	m	PROPN
ejpam-701	62	24	akzk	akzk	NOUN
ejpam-701	62	25	,	,	PUNCT
ejpam-701	62	26	(	(	PUNCT
ejpam-701	62	27	4	4	X
ejpam-701	62	28	)	)	PUNCT
ejpam-701	62	29	we	we	PRON
ejpam-701	62	30	can	can	AUX
ejpam-701	62	31	write	write	VERB
ejpam-701	62	32	(	(	PUNCT
ejpam-701	62	33	4	4	NUM
ejpam-701	62	34	)	)	PUNCT
ejpam-701	62	35	in	in	ADP
ejpam-701	62	36	the	the	DET
ejpam-701	62	37	form	form	NOUN
ejpam-701	62	38	:	:	PUNCT
ejpam-701	63	1	i	i	PRON
ejpam-701	63	2	m	m	VERB
ejpam-701	63	3	p	p	X
ejpam-701	63	4	(	(	PUNCT
ejpam-701	63	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	63	6	)	)	PUNCT
ejpam-701	63	7	f	f	NOUN
ejpam-701	63	8	(	(	PUNCT
ejpam-701	63	9	z	z	NOUN
ejpam-701	63	10	)	)	PUNCT
ejpam-701	63	11	=	=	SYM
ejpam-701	63	12	(	(	PUNCT
ejpam-701	63	13	φ	φ	PROPN
ejpam-701	63	14	p	p	PROPN
ejpam-701	63	15	,	,	PUNCT
ejpam-701	63	16	m	m	PROPN
ejpam-701	63	17	λ,ℓ	λ,ℓ	NOUN
ejpam-701	63	18	∗	∗	X
ejpam-701	63	19	f	f	PROPN
ejpam-701	63	20	)	)	PUNCT
ejpam-701	63	21	(	(	PUNCT
ejpam-701	63	22	z	z	NOUN
ejpam-701	63	23	)	)	PUNCT
ejpam-701	63	24	,	,	PUNCT
ejpam-701	63	25	where	where	SCONJ
ejpam-701	63	26	φ	φ	PROPN
ejpam-701	63	27	p	p	PROPN
ejpam-701	63	28	,	,	PUNCT
ejpam-701	63	29	m	m	VERB
ejpam-701	63	30	λ,ℓ	λ,ℓ	NOUN
ejpam-701	63	31	(	(	PUNCT
ejpam-701	63	32	z	z	NOUN
ejpam-701	63	33	)	)	PUNCT
ejpam-701	63	34	=	=	PUNCT
ejpam-701	63	35	z−p	z−p	NOUN
ejpam-701	63	36	+	+	CCONJ
ejpam-701	63	37	∞	∞	PROPN
ejpam-701	63	38	∑	∑	PUNCT
ejpam-701	63	39	k=1−p	k=1−p	VERB
ejpam-701	63	40	�	�	PROPN
ejpam-701	63	41	ℓ+λ(k+	ℓ+λ(k+	PROPN
ejpam-701	63	42	p	p	PROPN
ejpam-701	63	43	)	)	PUNCT
ejpam-701	63	44	ℓ	ℓ	PROPN
ejpam-701	63	45	�	�	PROPN
ejpam-701	63	46	m	m	PROPN
ejpam-701	63	47	zk	zk	PROPN
ejpam-701	63	48	.	.	PUNCT
ejpam-701	64	1	(	(	PUNCT
ejpam-701	64	2	5	5	X
ejpam-701	64	3	)	)	PUNCT
ejpam-701	64	4	it	it	PRON
ejpam-701	64	5	is	be	AUX
ejpam-701	64	6	easily	easily	ADV
ejpam-701	64	7	verified	verify	VERB
ejpam-701	64	8	from	from	ADP
ejpam-701	64	9	(	(	PUNCT
ejpam-701	64	10	4	4	NUM
ejpam-701	64	11	)	)	PUNCT
ejpam-701	64	12	that	that	PRON
ejpam-701	64	13	λz(im	λz(im	VERB
ejpam-701	64	14	p	p	X
ejpam-701	64	15	(	(	PUNCT
ejpam-701	64	16	λ,ℓ	λ,ℓ	NOUN
ejpam-701	64	17	)	)	PUNCT
ejpam-701	64	18	f	f	NOUN
ejpam-701	64	19	(	(	PUNCT
ejpam-701	64	20	z	z	NOUN
ejpam-701	64	21	)	)	PUNCT
ejpam-701	64	22	)	)	PUNCT
ejpam-701	65	1	′	′	NUM
ejpam-701	66	1	=	=	PUNCT
ejpam-701	66	2	ℓim+1	ℓim+1	X
ejpam-701	66	3	p	p	X
ejpam-701	66	4	(	(	PUNCT
ejpam-701	66	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	66	6	)	)	PUNCT
ejpam-701	66	7	f	f	NOUN
ejpam-701	66	8	(	(	PUNCT
ejpam-701	66	9	z)−	z)−	PROPN
ejpam-701	66	10	(	(	PUNCT
ejpam-701	66	11	λp+	λp+	PROPN
ejpam-701	67	1	ℓ)im	ℓ)im	PROPN
ejpam-701	67	2	p	p	X
ejpam-701	67	3	(	(	PUNCT
ejpam-701	67	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	67	5	)	)	PUNCT
ejpam-701	67	6	f	f	NOUN
ejpam-701	67	7	(	(	PUNCT
ejpam-701	67	8	z	z	NOUN
ejpam-701	67	9	)	)	PUNCT
ejpam-701	67	10	(	(	PUNCT
ejpam-701	67	11	λ	λ	X
ejpam-701	67	12	>	>	X
ejpam-701	67	13	0	0	NUM
ejpam-701	67	14	)	)	PUNCT
ejpam-701	67	15	.	.	PUNCT
ejpam-701	68	1	(	(	PUNCT
ejpam-701	68	2	6	6	X
ejpam-701	68	3	)	)	PUNCT
ejpam-701	68	4	we	we	PRON
ejpam-701	68	5	note	note	VERB
ejpam-701	68	6	that	that	SCONJ
ejpam-701	68	7	:	:	PUNCT
ejpam-701	68	8	i0	i0	PROPN
ejpam-701	68	9	p(λ,ℓ	p(λ,ℓ	NOUN
ejpam-701	68	10	)	)	PUNCT
ejpam-701	69	1	f	f	PROPN
ejpam-701	69	2	(	(	PUNCT
ejpam-701	69	3	z	z	NOUN
ejpam-701	69	4	)	)	PUNCT
ejpam-701	69	5	=	=	SYM
ejpam-701	70	1	f	f	X
ejpam-701	70	2	(	(	PUNCT
ejpam-701	70	3	z	z	NOUN
ejpam-701	70	4	)	)	PUNCT
ejpam-701	70	5	and	and	CCONJ
ejpam-701	70	6	i1	i1	PROPN
ejpam-701	70	7	p(1,1	p(1,1	PROPN
ejpam-701	70	8	)	)	PUNCT
ejpam-701	70	9	f	f	PROPN
ejpam-701	70	10	(	(	PUNCT
ejpam-701	70	11	z	z	NOUN
ejpam-701	70	12	)	)	PUNCT
ejpam-701	70	13	=	=	PUNCT
ejpam-701	70	14	(	(	PUNCT
ejpam-701	70	15	zp+1	zp+1	NUM
ejpam-701	70	16	f	f	X
ejpam-701	70	17	(	(	PUNCT
ejpam-701	70	18	z	z	NOUN
ejpam-701	70	19	)	)	PUNCT
ejpam-701	70	20	)	)	PUNCT
ejpam-701	71	1	′	′	NUM
ejpam-701	72	1	zp	zp	NOUN
ejpam-701	73	1	=	=	PUNCT
ejpam-701	73	2	(	(	PUNCT
ejpam-701	73	3	p+	p+	NOUN
ejpam-701	73	4	1	1	NUM
ejpam-701	73	5	)	)	PUNCT
ejpam-701	73	6	f	f	NOUN
ejpam-701	73	7	(	(	PUNCT
ejpam-701	73	8	z	z	NOUN
ejpam-701	73	9	)	)	PUNCT
ejpam-701	74	1	+	+	CCONJ
ejpam-701	74	2	z	z	NOUN
ejpam-701	74	3	f	f	NOUN
ejpam-701	75	1	′	′	NUM
ejpam-701	76	1	(	(	PUNCT
ejpam-701	76	2	z	z	NOUN
ejpam-701	76	3	)	)	PUNCT
ejpam-701	76	4	.	.	PUNCT
ejpam-701	77	1	also	also	ADV
ejpam-701	77	2	by	by	ADP
ejpam-701	77	3	specializing	specialize	VERB
ejpam-701	77	4	the	the	DET
ejpam-701	77	5	parameters	parameter	NOUN
ejpam-701	77	6	λ,ℓ	λ,ℓ	NOUN
ejpam-701	77	7	and	and	CCONJ
ejpam-701	77	8	p	p	X
ejpam-701	77	9	,	,	PUNCT
ejpam-701	77	10	we	we	PRON
ejpam-701	77	11	obtain	obtain	VERB
ejpam-701	77	12	the	the	DET
ejpam-701	77	13	following	follow	VERB
ejpam-701	77	14	operators	operator	NOUN
ejpam-701	77	15	studied	study	VERB
ejpam-701	77	16	by	by	ADP
ejpam-701	77	17	various	various	ADJ
ejpam-701	77	18	authors	author	NOUN
ejpam-701	77	19	:	:	PUNCT
ejpam-701	77	20	r.	r.	PROPN
ejpam-701	77	21	el	el	PROPN
ejpam-701	77	22	-	-	PUNCT
ejpam-701	77	23	ashwah	ashwah	NOUN
ejpam-701	77	24	,	,	PUNCT
ejpam-701	77	25	m.	m.	NOUN
ejpam-701	77	26	aouf	aouf	PROPN
ejpam-701	77	27	/	/	SYM
ejpam-701	77	28	eur	eur	PROPN
ejpam-701	77	29	.	.	PUNCT
ejpam-701	78	1	j.	j.	PROPN
ejpam-701	78	2	pure	pure	PROPN
ejpam-701	78	3	appl	appl	PROPN
ejpam-701	78	4	.	.	PROPN
ejpam-701	78	5	math	math	PROPN
ejpam-701	78	6	,	,	PUNCT
ejpam-701	78	7	3	3	NUM
ejpam-701	78	8	(	(	PUNCT
ejpam-701	78	9	2010	2010	NUM
ejpam-701	78	10	)	)	PUNCT
ejpam-701	78	11	,	,	PUNCT
ejpam-701	78	12	1070	1070	NUM
ejpam-701	78	13	-	-	SYM
ejpam-701	78	14	1085	1085	NUM
ejpam-701	78	15	1073	1073	NUM
ejpam-701	78	16	(	(	PUNCT
ejpam-701	78	17	i	i	NOUN
ejpam-701	78	18	)	)	PUNCT
ejpam-701	78	19	i	i	PRON
ejpam-701	78	20	m	m	VERB
ejpam-701	78	21	1	1	NUM
ejpam-701	78	22	(	(	PUNCT
ejpam-701	78	23	1,ℓ	1,ℓ	NUM
ejpam-701	78	24	)	)	PUNCT
ejpam-701	78	25	f	f	NOUN
ejpam-701	78	26	(	(	PUNCT
ejpam-701	78	27	z	z	NOUN
ejpam-701	78	28	)	)	PUNCT
ejpam-701	78	29	=	=	SYM
ejpam-701	78	30	i(m,ℓ	i(m,ℓ	X
ejpam-701	78	31	)	)	PUNCT
ejpam-701	79	1	f	f	PROPN
ejpam-701	79	2	(	(	PUNCT
ejpam-701	79	3	z	z	NOUN
ejpam-701	79	4	)	)	PUNCT
ejpam-701	79	5	(	(	PUNCT
ejpam-701	79	6	see	see	VERB
ejpam-701	79	7	cho	cho	PROPN
ejpam-701	79	8	et	et	PROPN
ejpam-701	79	9	al	al	PROPN
ejpam-701	79	10	.	.	PUNCT
ejpam-701	80	1	[	[	X
ejpam-701	80	2	7,8	7,8	NUM
ejpam-701	80	3	]	]	PUNCT
ejpam-701	80	4	)	)	PUNCT
ejpam-701	80	5	;	;	PUNCT
ejpam-701	80	6	(	(	PUNCT
ejpam-701	80	7	ii	ii	X
ejpam-701	80	8	)	)	PUNCT
ejpam-701	80	9	i	i	PRON
ejpam-701	80	10	m	m	VERB
ejpam-701	80	11	p	p	X
ejpam-701	80	12	(	(	PUNCT
ejpam-701	80	13	1,1	1,1	NUM
ejpam-701	80	14	)	)	PUNCT
ejpam-701	80	15	f	f	NOUN
ejpam-701	80	16	(	(	PUNCT
ejpam-701	80	17	z	z	NOUN
ejpam-701	80	18	)	)	PUNCT
ejpam-701	80	19	=	=	PUNCT
ejpam-701	81	1	dm	dm	AUX
ejpam-701	81	2	p	p	X
ejpam-701	81	3	f	f	X
ejpam-701	81	4	(	(	PUNCT
ejpam-701	81	5	z	z	NOUN
ejpam-701	81	6	)	)	PUNCT
ejpam-701	81	7	(	(	PUNCT
ejpam-701	81	8	see	see	VERB
ejpam-701	81	9	aouf	aouf	PROPN
ejpam-701	81	10	and	and	CCONJ
ejpam-701	81	11	hossen	hossen	NOUN
ejpam-701	81	12	[	[	X
ejpam-701	81	13	6	6	NUM
ejpam-701	81	14	]	]	PUNCT
ejpam-701	81	15	,	,	PUNCT
ejpam-701	81	16	liu	liu	PROPN
ejpam-701	81	17	and	and	CCONJ
ejpam-701	81	18	owa	owa	PROPN
ejpam-701	82	1	[	[	X
ejpam-701	82	2	11	11	NUM
ejpam-701	82	3	]	]	PUNCT
ejpam-701	82	4	,	,	PUNCT
ejpam-701	82	5	liu	liu	PROPN
ejpam-701	82	6	and	and	CCONJ
ejpam-701	82	7	srivastava	srivastava	PROPN
ejpam-701	83	1	[	[	X
ejpam-701	83	2	12	12	NUM
ejpam-701	83	3	]	]	PUNCT
ejpam-701	83	4	and	and	CCONJ
ejpam-701	83	5	srivastava	srivastava	PROPN
ejpam-701	83	6	and	and	CCONJ
ejpam-701	83	7	patel	patel	PROPN
ejpam-701	84	1	[	[	X
ejpam-701	84	2	16	16	NUM
ejpam-701	84	3	]	]	PUNCT
ejpam-701	84	4	)	)	PUNCT
ejpam-701	84	5	;	;	PUNCT
ejpam-701	84	6	(	(	PUNCT
ejpam-701	84	7	iii	iii	X
ejpam-701	84	8	)	)	PUNCT
ejpam-701	84	9	i	i	PRON
ejpam-701	84	10	m	m	VERB
ejpam-701	84	11	1	1	NUM
ejpam-701	84	12	(	(	PUNCT
ejpam-701	84	13	1,1	1,1	NUM
ejpam-701	84	14	)	)	PUNCT
ejpam-701	84	15	f	f	NOUN
ejpam-701	84	16	(	(	PUNCT
ejpam-701	84	17	z	z	NOUN
ejpam-701	84	18	)	)	PUNCT
ejpam-701	85	1	=	=	VERB
ejpam-701	86	1	i	i	PRON
ejpam-701	86	2	m	m	VERB
ejpam-701	86	3	f	f	X
ejpam-701	86	4	(	(	PUNCT
ejpam-701	86	5	z	z	NOUN
ejpam-701	86	6	)	)	PUNCT
ejpam-701	86	7	(	(	PUNCT
ejpam-701	86	8	see	see	VERB
ejpam-701	86	9	uralegaddi	uralegaddi	ADJ
ejpam-701	86	10	and	and	CCONJ
ejpam-701	86	11	somanatha	somanatha	NOUN
ejpam-701	87	1	[	[	X
ejpam-701	87	2	17	17	NUM
ejpam-701	87	3	]	]	PUNCT
ejpam-701	87	4	)	)	PUNCT
ejpam-701	87	5	.	.	PUNCT
ejpam-701	88	1	also	also	ADV
ejpam-701	88	2	we	we	PRON
ejpam-701	88	3	note	note	VERB
ejpam-701	88	4	that	that	SCONJ
ejpam-701	88	5	:	:	PUNCT
ejpam-701	88	6	(	(	PUNCT
ejpam-701	88	7	i	i	NOUN
ejpam-701	88	8	)	)	PUNCT
ejpam-701	89	1	i	i	PRON
ejpam-701	89	2	m	m	VERB
ejpam-701	89	3	p	p	X
ejpam-701	89	4	(	(	PUNCT
ejpam-701	89	5	1,ℓ	1,ℓ	NUM
ejpam-701	89	6	)	)	PUNCT
ejpam-701	89	7	f	f	NOUN
ejpam-701	90	1	(	(	PUNCT
ejpam-701	90	2	z	z	NOUN
ejpam-701	90	3	)	)	PUNCT
ejpam-701	90	4	=	=	SYM
ejpam-701	90	5	ip(m,ℓ	ip(m,ℓ	NOUN
ejpam-701	90	6	)	)	PUNCT
ejpam-701	90	7	f	f	NOUN
ejpam-701	90	8	(	(	PUNCT
ejpam-701	90	9	z	z	NOUN
ejpam-701	90	10	)	)	PUNCT
ejpam-701	90	11	,	,	PUNCT
ejpam-701	90	12	where	where	SCONJ
ejpam-701	90	13	ip(m,ℓ	ip(m,ℓ	NOUN
ejpam-701	90	14	)	)	PUNCT
ejpam-701	90	15	f	f	NOUN
ejpam-701	90	16	(	(	PUNCT
ejpam-701	90	17	z	z	NOUN
ejpam-701	90	18	)	)	PUNCT
ejpam-701	90	19	is	be	AUX
ejpam-701	90	20	defined	define	VERB
ejpam-701	90	21	by	by	ADP
ejpam-701	90	22	ip(m,ℓ	ip(m,ℓ	NOUN
ejpam-701	90	23	)	)	PUNCT
ejpam-701	91	1	f	f	NOUN
ejpam-701	91	2	(	(	PUNCT
ejpam-701	91	3	z	z	NOUN
ejpam-701	91	4	)	)	PUNCT
ejpam-701	91	5	=	=	PUNCT
ejpam-701	91	6	z−p	z−p	NOUN
ejpam-701	91	7	+	+	CCONJ
ejpam-701	91	8	∞	∞	PROPN
ejpam-701	91	9	∑	∑	PUNCT
ejpam-701	91	10	k=1−p	k=1−p	VERB
ejpam-701	91	11	�	�	PROPN
ejpam-701	91	12	ℓ+	ℓ+	PUNCT
ejpam-701	91	13	k+	k+	X
ejpam-701	91	14	p	p	PROPN
ejpam-701	91	15	ℓ	ℓ	PROPN
ejpam-701	91	16	�	�	PROPN
ejpam-701	91	17	m	m	PROPN
ejpam-701	91	18	akzk	akzk	NOUN
ejpam-701	91	19	(	(	PUNCT
ejpam-701	91	20	ℓ	ℓ	X
ejpam-701	91	21	>	>	X
ejpam-701	91	22	0	0	NUM
ejpam-701	91	23	;	;	PUNCT
ejpam-701	91	24	m	m	PROPN
ejpam-701	91	25	∈	∈	PROPN
ejpam-701	91	26	n0	n0	NUM
ejpam-701	91	27	)	)	PUNCT
ejpam-701	91	28	;	;	PUNCT
ejpam-701	92	1	(	(	PUNCT
ejpam-701	92	2	7	7	X
ejpam-701	92	3	)	)	PUNCT
ejpam-701	92	4	(	(	PUNCT
ejpam-701	92	5	ii	ii	X
ejpam-701	92	6	)	)	PUNCT
ejpam-701	92	7	i	i	PRON
ejpam-701	92	8	m	m	VERB
ejpam-701	92	9	p	p	X
ejpam-701	92	10	(	(	PUNCT
ejpam-701	92	11	λ	λ	PROPN
ejpam-701	92	12	,	,	PUNCT
ejpam-701	92	13	1	1	NUM
ejpam-701	92	14	)	)	PUNCT
ejpam-701	92	15	f	f	NOUN
ejpam-701	92	16	(	(	PUNCT
ejpam-701	92	17	z	z	NOUN
ejpam-701	92	18	)	)	PUNCT
ejpam-701	92	19	=	=	PUNCT
ejpam-701	92	20	dm	dm	NUM
ejpam-701	92	21	λ	λ	PROPN
ejpam-701	92	22	,	,	PUNCT
ejpam-701	92	23	p	p	PROPN
ejpam-701	92	24	f	f	X
ejpam-701	92	25	(	(	PUNCT
ejpam-701	92	26	z	z	NOUN
ejpam-701	92	27	)	)	PUNCT
ejpam-701	92	28	,	,	PUNCT
ejpam-701	92	29	where	where	SCONJ
ejpam-701	92	30	dm	dm	PROPN
ejpam-701	92	31	λ	λ	PROPN
ejpam-701	92	32	,	,	PUNCT
ejpam-701	92	33	p	p	PROPN
ejpam-701	92	34	f	f	X
ejpam-701	92	35	(	(	PUNCT
ejpam-701	92	36	z	z	NOUN
ejpam-701	92	37	)	)	PUNCT
ejpam-701	92	38	is	be	AUX
ejpam-701	92	39	defined	define	VERB
ejpam-701	92	40	by	by	ADP
ejpam-701	92	41	dm	dm	PROPN
ejpam-701	92	42	λ	λ	PROPN
ejpam-701	92	43	,	,	PUNCT
ejpam-701	92	44	p	p	PROPN
ejpam-701	92	45	f	f	X
ejpam-701	92	46	(	(	PUNCT
ejpam-701	92	47	z	z	NOUN
ejpam-701	92	48	)	)	PUNCT
ejpam-701	92	49	=	=	PUNCT
ejpam-701	92	50	z−p	z−p	NOUN
ejpam-701	92	51	+	+	CCONJ
ejpam-701	92	52	∞	∞	PROPN
ejpam-701	92	53	∑	∑	PUNCT
ejpam-701	92	54	k=1−p	k=1−p	VERB
ejpam-701	92	55	�	�	PROPN
ejpam-701	92	56	1+λ(k+	1+λ(k+	NUM
ejpam-701	92	57	p	p	X
ejpam-701	92	58	)	)	PUNCT
ejpam-701	92	59	�	�	PROPN
ejpam-701	92	60	m	m	PROPN
ejpam-701	92	61	akzk	akzk	NOUN
ejpam-701	92	62	(	(	PUNCT
ejpam-701	92	63	λ≥	λ≥	PROPN
ejpam-701	92	64	0	0	NUM
ejpam-701	92	65	;	;	PUNCT
ejpam-701	92	66	m	m	PROPN
ejpam-701	92	67	∈	∈	PROPN
ejpam-701	92	68	n0	n0	NUM
ejpam-701	92	69	)	)	PUNCT
ejpam-701	92	70	.	.	PUNCT
ejpam-701	93	1	(	(	PUNCT
ejpam-701	93	2	8)	8)	NUM
ejpam-701	93	3	aghalary	aghalary	NOUN
ejpam-701	93	4	et	et	PROPN
ejpam-701	93	5	al	al	PROPN
ejpam-701	93	6	.	.	PUNCT
ejpam-701	94	1	[	[	X
ejpam-701	94	2	1,2	1,2	NUM
ejpam-701	94	3	]	]	PUNCT
ejpam-701	94	4	,	,	PUNCT
ejpam-701	94	5	ali	ali	PROPN
ejpam-701	94	6	et	et	PROPN
ejpam-701	94	7	al	al	PROPN
ejpam-701	94	8	.	.	PUNCT
ejpam-701	95	1	[	[	X
ejpam-701	95	2	3,4,5	3,4,5	NUM
ejpam-701	95	3	]	]	NUM
ejpam-701	95	4	,	,	PUNCT
ejpam-701	95	5	aouf	aouf	PROPN
ejpam-701	95	6	and	and	CCONJ
ejpam-701	95	7	hossen	hossen	NOUN
ejpam-701	95	8	[	[	X
ejpam-701	95	9	6	6	NUM
ejpam-701	95	10	]	]	PUNCT
ejpam-701	95	11	and	and	CCONJ
ejpam-701	95	12	kim	kim	PROPN
ejpam-701	95	13	and	and	CCONJ
ejpam-701	95	14	srivestava	srivestava	NOUN
ejpam-701	96	1	[	[	X
ejpam-701	96	2	10	10	NUM
ejpam-701	96	3	]	]	PUNCT
ejpam-701	96	4	obtained	obtain	VERB
ejpam-701	96	5	sufficient	sufficient	ADJ
ejpam-701	96	6	conditions	condition	NOUN
ejpam-701	96	7	for	for	ADP
ejpam-701	96	8	certain	certain	ADJ
ejpam-701	96	9	differential	differential	ADJ
ejpam-701	96	10	subordination	subordination	NOUN
ejpam-701	96	11	implications	implication	NOUN
ejpam-701	96	12	to	to	PART
ejpam-701	96	13	hold	hold	VERB
ejpam-701	96	14	.	.	PUNCT
ejpam-701	97	1	in	in	ADP
ejpam-701	97	2	the	the	DET
ejpam-701	97	3	present	present	ADJ
ejpam-701	97	4	paper	paper	NOUN
ejpam-701	97	5	,	,	PUNCT
ejpam-701	97	6	the	the	DET
ejpam-701	97	7	differential	differential	ADJ
ejpam-701	97	8	subordination	subordination	NOUN
ejpam-701	97	9	result	result	NOUN
ejpam-701	97	10	of	of	ADP
ejpam-701	97	11	miller	miller	PROPN
ejpam-701	97	12	and	and	CCONJ
ejpam-701	97	13	mocanu	mocanu	NOUN
ejpam-701	98	1	[	[	X
ejpam-701	98	2	14	14	NUM
ejpam-701	98	3	,	,	PUNCT
ejpam-701	98	4	theorem	theorem	ADJ
ejpam-701	98	5	2.3b	2.3b	NUM
ejpam-701	98	6	,	,	PUNCT
ejpam-701	98	7	p.	p.	NOUN
ejpam-701	98	8	28	28	NUM
ejpam-701	98	9	]	]	PUNCT
ejpam-701	98	10	is	be	AUX
ejpam-701	98	11	extended	extend	VERB
ejpam-701	98	12	for	for	ADP
ejpam-701	98	13	functions	function	NOUN
ejpam-701	98	14	associated	associate	VERB
ejpam-701	98	15	with	with	ADP
ejpam-701	98	16	the	the	DET
ejpam-701	98	17	operator	operator	NOUN
ejpam-701	98	18	i	i	PRON
ejpam-701	98	19	m	m	VERB
ejpam-701	98	20	p	p	X
ejpam-701	98	21	(	(	PUNCT
ejpam-701	98	22	λ,ℓ	λ,ℓ	NOUN
ejpam-701	98	23	)	)	PUNCT
ejpam-701	98	24	,	,	PUNCT
ejpam-701	98	25	and	and	CCONJ
ejpam-701	98	26	we	we	PRON
ejpam-701	98	27	obtain	obtain	VERB
ejpam-701	98	28	certain	certain	ADJ
ejpam-701	98	29	other	other	ADJ
ejpam-701	98	30	related	related	ADJ
ejpam-701	98	31	results	result	NOUN
ejpam-701	98	32	.	.	PUNCT
ejpam-701	99	1	additionally	additionally	ADV
ejpam-701	99	2	,	,	PUNCT
ejpam-701	99	3	the	the	DET
ejpam-701	99	4	corresponding	corresponding	ADJ
ejpam-701	99	5	differential	differential	ADJ
ejpam-701	99	6	superordination	superordination	NOUN
ejpam-701	99	7	problem	problem	NOUN
ejpam-701	99	8	is	be	AUX
ejpam-701	99	9	investigated	investigate	VERB
ejpam-701	99	10	,	,	PUNCT
ejpam-701	99	11	and	and	CCONJ
ejpam-701	99	12	several	several	ADJ
ejpam-701	99	13	sandwich	sandwich	NOUN
ejpam-701	99	14	-	-	PUNCT
ejpam-701	99	15	type	type	NOUN
ejpam-701	99	16	results	result	NOUN
ejpam-701	99	17	are	be	AUX
ejpam-701	99	18	obtained	obtain	VERB
ejpam-701	99	19	.	.	PUNCT
ejpam-701	100	1	2	2	X
ejpam-701	100	2	.	.	X
ejpam-701	100	3	subordination	subordination	NOUN
ejpam-701	100	4	results	result	NOUN
ejpam-701	100	5	involving	involve	VERB
ejpam-701	100	6	the	the	DET
ejpam-701	100	7	operator	operator	NOUN
ejpam-701	101	1	i	i	PRON
ejpam-701	101	2	m	m	VERB
ejpam-701	101	3	p	p	X
ejpam-701	101	4	(	(	PUNCT
ejpam-701	101	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	101	6	)	)	PUNCT
ejpam-701	101	7	unless	unless	SCONJ
ejpam-701	101	8	otherwise	otherwise	ADV
ejpam-701	101	9	mentioned	mention	VERB
ejpam-701	101	10	,	,	PUNCT
ejpam-701	101	11	we	we	PRON
ejpam-701	101	12	assume	assume	VERB
ejpam-701	101	13	throughout	throughout	ADP
ejpam-701	101	14	this	this	DET
ejpam-701	101	15	paper	paper	NOUN
ejpam-701	101	16	that	that	PRON
ejpam-701	101	17	ℓ	ℓ	VERB
ejpam-701	101	18	>	>	X
ejpam-701	101	19	0	0	PROPN
ejpam-701	101	20	,	,	PUNCT
ejpam-701	101	21	λ	λ	X
ejpam-701	101	22	>	>	X
ejpam-701	101	23	0	0	PROPN
ejpam-701	101	24	,	,	PUNCT
ejpam-701	101	25	p	p	NOUN
ejpam-701	101	26	∈	∈	PROPN
ejpam-701	101	27	n	n	NOUN
ejpam-701	101	28	and	and	CCONJ
ejpam-701	101	29	m	m	PROPN
ejpam-701	101	30	∈	∈	PROPN
ejpam-701	101	31	n0	n0	PROPN
ejpam-701	101	32	.	.	PUNCT
ejpam-701	102	1	definition	definition	NOUN
ejpam-701	102	2	3	3	X
ejpam-701	102	3	.	.	PUNCT
ejpam-701	103	1	let	let	VERB
ejpam-701	103	2	ω	ω	NUM
ejpam-701	103	3	be	be	AUX
ejpam-701	103	4	a	a	DET
ejpam-701	103	5	set	set	NOUN
ejpam-701	103	6	in	in	ADP
ejpam-701	103	7	c	c	PROPN
ejpam-701	103	8	and	and	CCONJ
ejpam-701	103	9	q(z	q(z	PROPN
ejpam-701	103	10	)	)	PUNCT
ejpam-701	103	11	∈	∈	PROPN
ejpam-701	103	12	d1	d1	PROPN
ejpam-701	103	13	∩h	∩h	NOUN
ejpam-701	103	14	.	.	PUNCT
ejpam-701	104	1	the	the	DET
ejpam-701	104	2	class	class	NOUN
ejpam-701	104	3	of	of	ADP
ejpam-701	104	4	admissible	admissible	ADJ
ejpam-701	104	5	functions	function	NOUN
ejpam-701	104	6	φh[ω	φh[ω	VERB
ejpam-701	104	7	,	,	PUNCT
ejpam-701	104	8	q	q	X
ejpam-701	104	9	]	]	PUNCT
ejpam-701	104	10	consists	consist	VERB
ejpam-701	104	11	of	of	ADP
ejpam-701	104	12	those	those	DET
ejpam-701	104	13	functions	function	NOUN
ejpam-701	104	14	ϕ	ϕ	NOUN
ejpam-701	104	15	:	:	PUNCT
ejpam-701	104	16	c3×	c3×	NOUN
ejpam-701	104	17	u	u	NOUN
ejpam-701	104	18	→	→	SYM
ejpam-701	104	19	c	c	X
ejpam-701	104	20	that	that	PRON
ejpam-701	104	21	satisfy	satisfy	VERB
ejpam-701	104	22	the	the	DET
ejpam-701	104	23	admissibility	admissibility	NOUN
ejpam-701	104	24	condition	condition	NOUN
ejpam-701	104	25	ϕ(u	ϕ(u	PROPN
ejpam-701	104	26	,	,	PUNCT
ejpam-701	104	27	v	v	NOUN
ejpam-701	104	28	,	,	PUNCT
ejpam-701	104	29	w	w	NOUN
ejpam-701	104	30	;	;	PUNCT
ejpam-701	104	31	z	z	X
ejpam-701	104	32	)	)	PUNCT
ejpam-701	104	33	/∈	/∈	PUNCT
ejpam-701	105	1	ω	ω	NUM
ejpam-701	105	2	whenever	whenever	SCONJ
ejpam-701	105	3	u	u	NOUN
ejpam-701	105	4	=	=	PROPN
ejpam-701	105	5	q(ζ	q(ζ	NOUN
ejpam-701	105	6	)	)	PUNCT
ejpam-701	105	7	,	,	PUNCT
ejpam-701	105	8	v	v	X
ejpam-701	105	9	=	=	SYM
ejpam-701	105	10	kζq	kζq	NOUN
ejpam-701	106	1	′	′	NUM
ejpam-701	106	2	(	(	PUNCT
ejpam-701	106	3	ζ	ζ	NOUN
ejpam-701	106	4	)	)	PUNCT
ejpam-701	106	5	+	+	CCONJ
ejpam-701	106	6	�	�	PROPN
ejpam-701	106	7	ℓ	ℓ	PROPN
ejpam-701	106	8	λ	λ	PROPN
ejpam-701	106	9	�	�	PROPN
ejpam-701	106	10	q(ζ	q(ζ	ADJ
ejpam-701	106	11	)	)	PUNCT
ejpam-701	106	12	�	�	PROPN
ejpam-701	106	13	ℓ	ℓ	PROPN
ejpam-701	106	14	λ	λ	PROPN
ejpam-701	106	15	�	�	PROPN
ejpam-701	106	16	,	,	PUNCT
ejpam-701	106	17	re	re	X
ejpam-701	106	18	(	(	PUNCT
ejpam-701	106	19	�	�	PROPN
ejpam-701	106	20	ℓ	ℓ	PROPN
ejpam-701	106	21	λ	λ	PROPN
ejpam-701	106	22	�	�	PROPN
ejpam-701	106	23	(	(	PUNCT
ejpam-701	106	24	w	w	PROPN
ejpam-701	106	25	−	−	PROPN
ejpam-701	106	26	u	u	NOUN
ejpam-701	106	27	)	)	PUNCT
ejpam-701	106	28	v−	v−	PROPN
ejpam-701	106	29	u	u	NOUN
ejpam-701	106	30	−	−	PROPN
ejpam-701	106	31	2	2	NUM
ejpam-701	106	32	�	�	PROPN
ejpam-701	106	33	ℓ	ℓ	PROPN
ejpam-701	106	34	λ	λ	PROPN
ejpam-701	106	35	�	�	PROPN
ejpam-701	106	36	)	)	PUNCT
ejpam-701	106	37	≥	≥	PROPN
ejpam-701	106	38	kre	kre	PROPN
ejpam-701	106	39	(	(	PUNCT
ejpam-701	106	40	1	1	NUM
ejpam-701	106	41	+	+	NUM
ejpam-701	106	42	ζq	ζq	NOUN
ejpam-701	106	43	′′	′′	PROPN
ejpam-701	106	44	(	(	PUNCT
ejpam-701	106	45	ζ	ζ	NOUN
ejpam-701	106	46	)	)	PUNCT
ejpam-701	106	47	q	q	NOUN
ejpam-701	107	1	′	′	NUM
ejpam-701	107	2	(	(	PUNCT
ejpam-701	107	3	ζ	ζ	NOUN
ejpam-701	107	4	)	)	PUNCT
ejpam-701	107	5	)	)	PUNCT
ejpam-701	107	6	,	,	PUNCT
ejpam-701	107	7	where	where	SCONJ
ejpam-701	107	8	z	z	PROPN
ejpam-701	107	9	∈	∈	PROPN
ejpam-701	107	10	u	u	NOUN
ejpam-701	107	11	,	,	PUNCT
ejpam-701	107	12	ζ	ζ	PROPN
ejpam-701	107	13	∈	∈	PROPN
ejpam-701	107	14	∂	∂	NOUN
ejpam-701	107	15	u\e(q	u\e(q	ADJ
ejpam-701	107	16	)	)	PUNCT
ejpam-701	107	17	and	and	CCONJ
ejpam-701	107	18	k	k	PROPN
ejpam-701	107	19	≥	≥	NUM
ejpam-701	107	20	1	1	NUM
ejpam-701	107	21	.	.	PUNCT
ejpam-701	108	1	r.	r.	PROPN
ejpam-701	108	2	el	el	PROPN
ejpam-701	108	3	-	-	PUNCT
ejpam-701	108	4	ashwah	ashwah	NOUN
ejpam-701	108	5	,	,	PUNCT
ejpam-701	108	6	m.	m.	NOUN
ejpam-701	108	7	aouf	aouf	PROPN
ejpam-701	108	8	/	/	SYM
ejpam-701	108	9	eur	eur	PROPN
ejpam-701	108	10	.	.	PUNCT
ejpam-701	109	1	j.	j.	PROPN
ejpam-701	109	2	pure	pure	PROPN
ejpam-701	109	3	appl	appl	PROPN
ejpam-701	109	4	.	.	PROPN
ejpam-701	109	5	math	math	PROPN
ejpam-701	109	6	,	,	PUNCT
ejpam-701	109	7	3	3	NUM
ejpam-701	109	8	(	(	PUNCT
ejpam-701	109	9	2010	2010	NUM
ejpam-701	109	10	)	)	PUNCT
ejpam-701	109	11	,	,	PUNCT
ejpam-701	109	12	1070	1070	NUM
ejpam-701	109	13	-	-	SYM
ejpam-701	109	14	1085	1085	NUM
ejpam-701	109	15	1074	1074	NUM
ejpam-701	109	16	theorem	theorem	NOUN
ejpam-701	109	17	1	1	NUM
ejpam-701	109	18	.	.	PUNCT
ejpam-701	110	1	let	let	VERB
ejpam-701	110	2	ϕ	ϕ	PROPN
ejpam-701	110	3	∈	∈	PROPN
ejpam-701	110	4	φh[ω	φh[ω	VERB
ejpam-701	110	5	,	,	PUNCT
ejpam-701	110	6	q	q	X
ejpam-701	110	7	]	]	X
ejpam-701	110	8	.	.	PUNCT
ejpam-701	111	1	if	if	SCONJ
ejpam-701	111	2	f	f	PROPN
ejpam-701	111	3	(	(	PUNCT
ejpam-701	111	4	z	z	NOUN
ejpam-701	111	5	)	)	PUNCT
ejpam-701	111	6	∈	∈	PROPN
ejpam-701	111	7	∑	∑	PUNCT
ejpam-701	111	8	(	(	PUNCT
ejpam-701	111	9	p	p	NOUN
ejpam-701	111	10	)	)	PUNCT
ejpam-701	111	11	satisfies	satisfie	NOUN
ejpam-701	111	12	n	n	PRON
ejpam-701	111	13	ϕ(zp	ϕ(zp	PROPN
ejpam-701	111	14	i	i	PRON
ejpam-701	111	15	m	m	VERB
ejpam-701	111	16	p	p	X
ejpam-701	111	17	(	(	PUNCT
ejpam-701	111	18	λ,ℓ	λ,ℓ	NOUN
ejpam-701	111	19	)	)	PUNCT
ejpam-701	111	20	f	f	NOUN
ejpam-701	111	21	(	(	PUNCT
ejpam-701	111	22	z	z	NOUN
ejpam-701	111	23	)	)	PUNCT
ejpam-701	111	24	,	,	PUNCT
ejpam-701	111	25	zp	zp	PROPN
ejpam-701	111	26	im+1	im+1	PROPN
ejpam-701	111	27	p	p	X
ejpam-701	111	28	(	(	PUNCT
ejpam-701	111	29	λ,ℓ	λ,ℓ	NOUN
ejpam-701	111	30	)	)	PUNCT
ejpam-701	111	31	f	f	NOUN
ejpam-701	111	32	(	(	PUNCT
ejpam-701	111	33	z	z	NOUN
ejpam-701	111	34	)	)	PUNCT
ejpam-701	111	35	,	,	PUNCT
ejpam-701	111	36	zp	zp	PROPN
ejpam-701	111	37	im+2	im+2	PROPN
ejpam-701	111	38	p	p	X
ejpam-701	111	39	(	(	PUNCT
ejpam-701	111	40	λ,ℓ	λ,ℓ	NOUN
ejpam-701	111	41	)	)	PUNCT
ejpam-701	111	42	f	f	NOUN
ejpam-701	111	43	(	(	PUNCT
ejpam-701	111	44	z	z	NOUN
ejpam-701	111	45	)	)	PUNCT
ejpam-701	111	46	;	;	PUNCT
ejpam-701	111	47	z	z	X
ejpam-701	111	48	)	)	PUNCT
ejpam-701	111	49	:	:	PUNCT
ejpam-701	112	1	z	z	X
ejpam-701	112	2	∈	∈	PROPN
ejpam-701	113	1	u	u	X
ejpam-701	113	2	o	o	X
ejpam-701	113	3	∈	∈	PROPN
ejpam-701	113	4	ω	ω	PROPN
ejpam-701	113	5	,	,	PUNCT
ejpam-701	113	6	(	(	PUNCT
ejpam-701	113	7	9	9	NUM
ejpam-701	113	8	)	)	PUNCT
ejpam-701	113	9	then	then	ADV
ejpam-701	113	10	zp	zp	INTJ
ejpam-701	114	1	i	i	PRON
ejpam-701	114	2	m	m	VERB
ejpam-701	114	3	p	p	X
ejpam-701	114	4	(	(	PUNCT
ejpam-701	114	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	114	6	)	)	PUNCT
ejpam-701	114	7	f	f	NOUN
ejpam-701	114	8	(	(	PUNCT
ejpam-701	114	9	z	z	NOUN
ejpam-701	114	10	)	)	PUNCT
ejpam-701	114	11	≺	≺	NOUN
ejpam-701	114	12	q(z	q(z	PROPN
ejpam-701	114	13	)	)	PUNCT
ejpam-701	114	14	.	.	PUNCT
ejpam-701	115	1	proof	proof	NOUN
ejpam-701	115	2	.	.	PUNCT
ejpam-701	116	1	define	define	VERB
ejpam-701	116	2	the	the	DET
ejpam-701	116	3	analytic	analytic	ADJ
ejpam-701	116	4	function	function	NOUN
ejpam-701	116	5	p(z	p(z	NOUN
ejpam-701	116	6	)	)	PUNCT
ejpam-701	116	7	in	in	ADP
ejpam-701	116	8	u	u	NOUN
ejpam-701	116	9	by	by	ADP
ejpam-701	116	10	p(z	p(z	NOUN
ejpam-701	116	11	)	)	PUNCT
ejpam-701	117	1	=	=	PUNCT
ejpam-701	117	2	zp	zp	VERB
ejpam-701	118	1	i	i	PRON
ejpam-701	118	2	m	m	VERB
ejpam-701	118	3	p	p	X
ejpam-701	118	4	(	(	PUNCT
ejpam-701	118	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	118	6	)	)	PUNCT
ejpam-701	118	7	f	f	NOUN
ejpam-701	118	8	(	(	PUNCT
ejpam-701	118	9	z	z	NOUN
ejpam-701	118	10	)	)	PUNCT
ejpam-701	118	11	.	.	PUNCT
ejpam-701	119	1	(	(	PUNCT
ejpam-701	119	2	10	10	NUM
ejpam-701	119	3	)	)	PUNCT
ejpam-701	119	4	from	from	ADP
ejpam-701	119	5	(	(	PUNCT
ejpam-701	119	6	6	6	NUM
ejpam-701	119	7	)	)	PUNCT
ejpam-701	119	8	and	and	CCONJ
ejpam-701	119	9	(	(	PUNCT
ejpam-701	119	10	10	10	NUM
ejpam-701	119	11	)	)	PUNCT
ejpam-701	119	12	,	,	PUNCT
ejpam-701	119	13	we	we	PRON
ejpam-701	119	14	have	have	VERB
ejpam-701	119	15	zp	zp	PROPN
ejpam-701	120	1	im+1	im+1	PROPN
ejpam-701	120	2	p	p	X
ejpam-701	120	3	(	(	PUNCT
ejpam-701	120	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	120	5	)	)	PUNCT
ejpam-701	120	6	f	f	NOUN
ejpam-701	120	7	(	(	PUNCT
ejpam-701	120	8	z	z	NOUN
ejpam-701	120	9	)	)	PUNCT
ejpam-701	120	10	=	=	SYM
ejpam-701	120	11	�	�	PROPN
ejpam-701	120	12	zp	zp	NOUN
ejpam-701	120	13	′	′	NUM
ejpam-701	120	14	(	(	PUNCT
ejpam-701	120	15	z	z	NOUN
ejpam-701	120	16	)	)	PUNCT
ejpam-701	120	17	+	+	CCONJ
ejpam-701	120	18	�	�	PROPN
ejpam-701	120	19	ℓ	ℓ	PROPN
ejpam-701	120	20	λ	λ	PROPN
ejpam-701	120	21	�	�	PROPN
ejpam-701	120	22	p(z	p(z	PROPN
ejpam-701	120	23	)	)	PUNCT
ejpam-701	120	24	�	�	PROPN
ejpam-701	120	25	�	�	PROPN
ejpam-701	120	26	ℓ	ℓ	PROPN
ejpam-701	120	27	λ	λ	PROPN
ejpam-701	120	28	�	�	PROPN
ejpam-701	120	29	.	.	PUNCT
ejpam-701	121	1	(	(	PUNCT
ejpam-701	121	2	11	11	NUM
ejpam-701	121	3	)	)	PUNCT
ejpam-701	121	4	further	further	ADJ
ejpam-701	121	5	computations	computation	NOUN
ejpam-701	121	6	show	show	VERB
ejpam-701	121	7	that	that	SCONJ
ejpam-701	121	8	zp	zp	PROPN
ejpam-701	121	9	im+2	im+2	PRON
ejpam-701	121	10	p	p	PROPN
ejpam-701	121	11	(	(	PUNCT
ejpam-701	121	12	λ,ℓ	λ,ℓ	NOUN
ejpam-701	121	13	)	)	PUNCT
ejpam-701	121	14	f	f	NOUN
ejpam-701	121	15	(	(	PUNCT
ejpam-701	121	16	z	z	NOUN
ejpam-701	121	17	)	)	PUNCT
ejpam-701	121	18	=	=	SYM
ejpam-701	121	19	z2p	z2p	SYM
ejpam-701	121	20	′′	′′	PROPN
ejpam-701	121	21	(	(	PUNCT
ejpam-701	121	22	z	z	NOUN
ejpam-701	121	23	)	)	PUNCT
ejpam-701	121	24	+	+	CCONJ
ejpam-701	121	25	�	�	PROPN
ejpam-701	121	26	1	1	NUM
ejpam-701	121	27	+	+	NUM
ejpam-701	121	28	2	2	NUM
ejpam-701	121	29	�	�	PROPN
ejpam-701	121	30	ℓ	ℓ	PROPN
ejpam-701	121	31	λ	λ	PROPN
ejpam-701	121	32	�	�	PROPN
ejpam-701	121	33	�	�	PROPN
ejpam-701	121	34	zp	zp	PROPN
ejpam-701	121	35	′	′	NUM
ejpam-701	121	36	(	(	PUNCT
ejpam-701	121	37	z	z	NOUN
ejpam-701	121	38	)	)	PUNCT
ejpam-701	121	39	+	+	CCONJ
ejpam-701	121	40	�	�	PROPN
ejpam-701	121	41	ℓ	ℓ	PROPN
ejpam-701	121	42	λ	λ	PROPN
ejpam-701	121	43	�	�	PROPN
ejpam-701	121	44	2	2	NUM
ejpam-701	121	45	p(z	p(z	NOUN
ejpam-701	121	46	)	)	PUNCT
ejpam-701	121	47	�	�	PROPN
ejpam-701	121	48	ℓ	ℓ	PROPN
ejpam-701	121	49	λ	λ	PROPN
ejpam-701	121	50	�	�	PROPN
ejpam-701	121	51	2	2	NUM
ejpam-701	121	52	.	.	PUNCT
ejpam-701	122	1	(	(	PUNCT
ejpam-701	122	2	12	12	NUM
ejpam-701	122	3	)	)	PUNCT
ejpam-701	122	4	define	define	VERB
ejpam-701	122	5	the	the	DET
ejpam-701	122	6	transformations	transformation	NOUN
ejpam-701	122	7	from	from	ADP
ejpam-701	122	8	c3	c3	PROPN
ejpam-701	122	9	to	to	ADP
ejpam-701	122	10	c	c	NOUN
ejpam-701	122	11	by	by	ADP
ejpam-701	122	12	u(r	u(r	PROPN
ejpam-701	122	13	,	,	PUNCT
ejpam-701	122	14	s	s	PROPN
ejpam-701	122	15	,	,	PUNCT
ejpam-701	122	16	t	t	PROPN
ejpam-701	122	17	)	)	PUNCT
ejpam-701	122	18	=	=	SYM
ejpam-701	123	1	r	r	NOUN
ejpam-701	123	2	,	,	PUNCT
ejpam-701	123	3	v(r	v(r	PROPN
ejpam-701	123	4	,	,	PUNCT
ejpam-701	123	5	s	s	PROPN
ejpam-701	123	6	,	,	PUNCT
ejpam-701	123	7	t	t	PROPN
ejpam-701	123	8	)	)	PUNCT
ejpam-701	123	9	=	=	PUNCT
ejpam-701	123	10	s+	s+	PUNCT
ejpam-701	123	11	�	�	PROPN
ejpam-701	123	12	ℓ	ℓ	PROPN
ejpam-701	123	13	λ	λ	PROPN
ejpam-701	123	14	�	�	PROPN
ejpam-701	123	15	r	r	NOUN
ejpam-701	123	16	�	�	PROPN
ejpam-701	123	17	ℓ	ℓ	PROPN
ejpam-701	123	18	λ	λ	PROPN
ejpam-701	123	19	�	�	PROPN
ejpam-701	123	20	,	,	PUNCT
ejpam-701	123	21	w(r	w(r	PROPN
ejpam-701	123	22	,	,	PUNCT
ejpam-701	123	23	s	s	PROPN
ejpam-701	123	24	,	,	PUNCT
ejpam-701	123	25	t	t	PROPN
ejpam-701	123	26	)	)	PUNCT
ejpam-701	123	27	=	=	SYM
ejpam-701	124	1	t	t	PROPN
ejpam-701	124	2	+	+	CCONJ
ejpam-701	124	3	�	�	PROPN
ejpam-701	124	4	1	1	NUM
ejpam-701	124	5	+	+	NUM
ejpam-701	124	6	2	2	NUM
ejpam-701	124	7	�	�	PROPN
ejpam-701	124	8	ℓ	ℓ	PROPN
ejpam-701	124	9	λ	λ	PROPN
ejpam-701	124	10	�	�	PROPN
ejpam-701	124	11	�	�	PROPN
ejpam-701	124	12	s+	s+	NUM
ejpam-701	124	13	�	�	PROPN
ejpam-701	124	14	ℓ	ℓ	PROPN
ejpam-701	124	15	λ	λ	PROPN
ejpam-701	124	16	�	�	PROPN
ejpam-701	124	17	2	2	NUM
ejpam-701	124	18	r	r	NOUN
ejpam-701	124	19	�	�	PROPN
ejpam-701	124	20	ℓ	ℓ	PROPN
ejpam-701	124	21	λ	λ	PROPN
ejpam-701	124	22	�	�	PROPN
ejpam-701	124	23	2	2	NUM
ejpam-701	124	24	.	.	PUNCT
ejpam-701	125	1	(	(	PUNCT
ejpam-701	125	2	13	13	NUM
ejpam-701	125	3	)	)	PUNCT
ejpam-701	125	4	let	let	VERB
ejpam-701	125	5	ψ(r	ψ(r	NOUN
ejpam-701	125	6	,	,	PUNCT
ejpam-701	125	7	s	s	X
ejpam-701	125	8	,	,	PUNCT
ejpam-701	125	9	t	t	PROPN
ejpam-701	125	10	;	;	PUNCT
ejpam-701	125	11	z	z	X
ejpam-701	125	12	)	)	PUNCT
ejpam-701	125	13	=	=	SYM
ejpam-701	125	14	ϕ(u	ϕ(u	PROPN
ejpam-701	125	15	,	,	PUNCT
ejpam-701	125	16	v	v	NOUN
ejpam-701	125	17	,	,	PUNCT
ejpam-701	125	18	w	w	NOUN
ejpam-701	125	19	;	;	PUNCT
ejpam-701	125	20	z	z	X
ejpam-701	125	21	)	)	PUNCT
ejpam-701	125	22	=	=	SYM
ejpam-701	125	23	ϕ	ϕ	NOUN
ejpam-701	125	24			NOUN
ejpam-701	125	25			NOUN
ejpam-701	125	26	r	r	NOUN
ejpam-701	125	27	,	,	PUNCT
ejpam-701	125	28	s+	s+	NUM
ejpam-701	125	29	�	�	PROPN
ejpam-701	125	30	ℓ	ℓ	PROPN
ejpam-701	125	31	λ	λ	PROPN
ejpam-701	125	32	�	�	PROPN
ejpam-701	125	33	r	r	NOUN
ejpam-701	125	34	�	�	PROPN
ejpam-701	125	35	ℓ	ℓ	PROPN
ejpam-701	125	36	λ	λ	PROPN
ejpam-701	125	37	�	�	PROPN
ejpam-701	125	38	,	,	PUNCT
ejpam-701	125	39	t	t	PROPN
ejpam-701	125	40	+	+	CCONJ
ejpam-701	125	41	�	�	PROPN
ejpam-701	126	1	1	1	NUM
ejpam-701	126	2	+	+	NUM
ejpam-701	126	3	2	2	NUM
ejpam-701	126	4	�	�	PROPN
ejpam-701	126	5	ℓ	ℓ	PROPN
ejpam-701	126	6	λ	λ	PROPN
ejpam-701	126	7	�	�	PROPN
ejpam-701	126	8	�	�	PROPN
ejpam-701	126	9	s+	s+	NUM
ejpam-701	126	10	�	�	PROPN
ejpam-701	126	11	ℓ	ℓ	PROPN
ejpam-701	126	12	λ	λ	PROPN
ejpam-701	126	13	�	�	PROPN
ejpam-701	126	14	2	2	NUM
ejpam-701	126	15	r	r	NOUN
ejpam-701	126	16	�	�	PROPN
ejpam-701	126	17	ℓ	ℓ	PROPN
ejpam-701	126	18	λ	λ	PROPN
ejpam-701	126	19	�	�	PROPN
ejpam-701	126	20	2	2	NUM
ejpam-701	126	21	;	;	PUNCT
ejpam-701	126	22	z	z	NOUN
ejpam-701	126	23			PROPN
ejpam-701	126	24			VERB
ejpam-701	126	25			PUNCT
ejpam-701	126	26	.	.	PUNCT
ejpam-701	127	1	(	(	PUNCT
ejpam-701	127	2	14	14	NUM
ejpam-701	127	3	)	)	PUNCT
ejpam-701	127	4	the	the	DET
ejpam-701	127	5	proof	proof	NOUN
ejpam-701	127	6	will	will	AUX
ejpam-701	127	7	make	make	VERB
ejpam-701	127	8	use	use	NOUN
ejpam-701	127	9	of	of	ADP
ejpam-701	127	10	lemma	lemma	PROPN
ejpam-701	127	11	1	1	NUM
ejpam-701	127	12	.	.	PUNCT
ejpam-701	128	1	using	use	VERB
ejpam-701	128	2	(	(	PUNCT
ejpam-701	128	3	10	10	NUM
ejpam-701	128	4	)	)	PUNCT
ejpam-701	128	5	,	,	PUNCT
ejpam-701	128	6	(	(	PUNCT
ejpam-701	128	7	11	11	NUM
ejpam-701	128	8	)	)	PUNCT
ejpam-701	128	9	and	and	CCONJ
ejpam-701	128	10	(	(	PUNCT
ejpam-701	128	11	12	12	NUM
ejpam-701	128	12	)	)	PUNCT
ejpam-701	128	13	,	,	PUNCT
ejpam-701	128	14	from	from	ADP
ejpam-701	128	15	(	(	PUNCT
ejpam-701	128	16	14	14	NUM
ejpam-701	128	17	)	)	PUNCT
ejpam-701	128	18	,	,	PUNCT
ejpam-701	128	19	we	we	PRON
ejpam-701	128	20	obtain	obtain	VERB
ejpam-701	128	21	ψ(p(z	ψ(p(z	NOUN
ejpam-701	128	22	)	)	PUNCT
ejpam-701	128	23	,	,	PUNCT
ejpam-701	128	24	zp	zp	NOUN
ejpam-701	128	25	′	′	NUM
ejpam-701	128	26	(	(	PUNCT
ejpam-701	128	27	z	z	NOUN
ejpam-701	128	28	)	)	PUNCT
ejpam-701	128	29	,	,	PUNCT
ejpam-701	129	1	z2p	z2p	PROPN
ejpam-701	129	2	′′	′′	PROPN
ejpam-701	129	3	(	(	PUNCT
ejpam-701	129	4	z	z	PROPN
ejpam-701	129	5	)	)	PUNCT
ejpam-701	129	6	;	;	PUNCT
ejpam-701	129	7	z	z	X
ejpam-701	129	8	)	)	PUNCT
ejpam-701	129	9	=	=	SYM
ejpam-701	129	10	ϕ	ϕ	PROPN
ejpam-701	129	11	�	�	PROPN
ejpam-701	129	12	zp	zp	PROPN
ejpam-701	129	13	i	i	PRON
ejpam-701	129	14	m	m	VERB
ejpam-701	129	15	p	p	X
ejpam-701	129	16	(	(	PUNCT
ejpam-701	129	17	λ,ℓ	λ,ℓ	NOUN
ejpam-701	129	18	)	)	PUNCT
ejpam-701	129	19	f	f	NOUN
ejpam-701	129	20	(	(	PUNCT
ejpam-701	129	21	z	z	NOUN
ejpam-701	129	22	)	)	PUNCT
ejpam-701	129	23	,	,	PUNCT
ejpam-701	129	24	zp	zp	PROPN
ejpam-701	129	25	im+1	im+1	PROPN
ejpam-701	129	26	p	p	X
ejpam-701	129	27	(	(	PUNCT
ejpam-701	129	28	λ,ℓ	λ,ℓ	NOUN
ejpam-701	129	29	)	)	PUNCT
ejpam-701	129	30	f	f	NOUN
ejpam-701	129	31	(	(	PUNCT
ejpam-701	129	32	z	z	NOUN
ejpam-701	129	33	)	)	PUNCT
ejpam-701	129	34	,	,	PUNCT
ejpam-701	129	35	zp	zp	PROPN
ejpam-701	129	36	im+2	im+2	PROPN
ejpam-701	129	37	p	p	X
ejpam-701	129	38	(	(	PUNCT
ejpam-701	129	39	λ,ℓ	λ,ℓ	NOUN
ejpam-701	129	40	)	)	PUNCT
ejpam-701	129	41	f	f	NOUN
ejpam-701	129	42	(	(	PUNCT
ejpam-701	129	43	z	z	NOUN
ejpam-701	129	44	)	)	PUNCT
ejpam-701	129	45	;	;	PUNCT
ejpam-701	129	46	z	z	PROPN
ejpam-701	129	47	�	�	PROPN
ejpam-701	129	48	.	.	PUNCT
ejpam-701	130	1	(	(	PUNCT
ejpam-701	130	2	15	15	NUM
ejpam-701	130	3	)	)	PUNCT
ejpam-701	130	4	hence	hence	ADV
ejpam-701	130	5	(	(	PUNCT
ejpam-701	130	6	9	9	X
ejpam-701	130	7	)	)	PUNCT
ejpam-701	130	8	becomes	become	VERB
ejpam-701	130	9	ψ(p(z	ψ(p(z	ADJ
ejpam-701	130	10	)	)	PUNCT
ejpam-701	130	11	,	,	PUNCT
ejpam-701	130	12	zp	zp	NOUN
ejpam-701	130	13	′	′	NUM
ejpam-701	130	14	(	(	PUNCT
ejpam-701	130	15	z	z	NOUN
ejpam-701	130	16	)	)	PUNCT
ejpam-701	130	17	,	,	PUNCT
ejpam-701	130	18	z2p	z2p	PROPN
ejpam-701	130	19	′′	′′	PROPN
ejpam-701	130	20	(	(	PUNCT
ejpam-701	130	21	z	z	PROPN
ejpam-701	130	22	)	)	PUNCT
ejpam-701	130	23	;	;	PUNCT
ejpam-701	130	24	z	z	X
ejpam-701	130	25	)	)	PUNCT
ejpam-701	130	26	∈	∈	PROPN
ejpam-701	130	27	ω	ω	PROPN
ejpam-701	130	28	.	.	PUNCT
ejpam-701	131	1	the	the	DET
ejpam-701	131	2	proof	proof	NOUN
ejpam-701	131	3	is	be	AUX
ejpam-701	131	4	completed	complete	VERB
ejpam-701	131	5	if	if	SCONJ
ejpam-701	131	6	it	it	PRON
ejpam-701	131	7	can	can	AUX
ejpam-701	131	8	be	be	AUX
ejpam-701	131	9	shown	show	VERB
ejpam-701	131	10	that	that	SCONJ
ejpam-701	131	11	the	the	DET
ejpam-701	131	12	admissibility	admissibility	NOUN
ejpam-701	131	13	condition	condition	NOUN
ejpam-701	131	14	for	for	ADP
ejpam-701	131	15	ϕ	ϕ	PROPN
ejpam-701	131	16	∈	∈	PROPN
ejpam-701	131	17	φh[ω	φh[ω	VERB
ejpam-701	131	18	,	,	PUNCT
ejpam-701	131	19	q	q	X
ejpam-701	131	20	]	]	X
ejpam-701	131	21	is	be	AUX
ejpam-701	131	22	equivalent	equivalent	ADJ
ejpam-701	131	23	to	to	ADP
ejpam-701	131	24	the	the	DET
ejpam-701	131	25	admissibility	admissibility	NOUN
ejpam-701	131	26	condition	condition	NOUN
ejpam-701	131	27	for	for	ADP
ejpam-701	131	28	ψ	ψ	PRON
ejpam-701	131	29	as	as	SCONJ
ejpam-701	131	30	given	give	VERB
ejpam-701	131	31	in	in	ADP
ejpam-701	131	32	definition	definition	NOUN
ejpam-701	131	33	1	1	NUM
ejpam-701	131	34	.	.	PUNCT
ejpam-701	132	1	note	note	VERB
ejpam-701	132	2	that	that	SCONJ
ejpam-701	132	3	t	t	PROPN
ejpam-701	132	4	s	s	PART
ejpam-701	132	5	+	+	NUM
ejpam-701	132	6	1=	1=	X
ejpam-701	132	7	�	�	PROPN
ejpam-701	132	8	ℓ	ℓ	PROPN
ejpam-701	132	9	λ	λ	PROPN
ejpam-701	132	10	�	�	PROPN
ejpam-701	132	11	(	(	PUNCT
ejpam-701	132	12	w	w	PROPN
ejpam-701	132	13	−	−	PROPN
ejpam-701	132	14	u	u	NOUN
ejpam-701	132	15	)	)	PUNCT
ejpam-701	132	16	v	v	ADP
ejpam-701	132	17	−	−	PROPN
ejpam-701	132	18	u	u	NOUN
ejpam-701	132	19	−	−	PROPN
ejpam-701	132	20	2	2	NUM
ejpam-701	132	21	�	�	PROPN
ejpam-701	132	22	ℓ	ℓ	PROPN
ejpam-701	132	23	λ	λ	PROPN
ejpam-701	132	24	�	�	PROPN
ejpam-701	132	25	,	,	PUNCT
ejpam-701	132	26	r.	r.	PROPN
ejpam-701	132	27	el	el	PROPN
ejpam-701	132	28	-	-	PUNCT
ejpam-701	132	29	ashwah	ashwah	NOUN
ejpam-701	132	30	,	,	PUNCT
ejpam-701	132	31	m.	m.	NOUN
ejpam-701	132	32	aouf	aouf	PROPN
ejpam-701	132	33	/	/	SYM
ejpam-701	132	34	eur	eur	PROPN
ejpam-701	132	35	.	.	PUNCT
ejpam-701	133	1	j.	j.	PROPN
ejpam-701	133	2	pure	pure	PROPN
ejpam-701	133	3	appl	appl	PROPN
ejpam-701	133	4	.	.	PROPN
ejpam-701	133	5	math	math	PROPN
ejpam-701	133	6	,	,	PUNCT
ejpam-701	133	7	3	3	NUM
ejpam-701	133	8	(	(	PUNCT
ejpam-701	133	9	2010	2010	NUM
ejpam-701	133	10	)	)	PUNCT
ejpam-701	133	11	,	,	PUNCT
ejpam-701	133	12	1070	1070	NUM
ejpam-701	133	13	-	-	SYM
ejpam-701	133	14	1085	1085	NUM
ejpam-701	133	15	1075	1075	NUM
ejpam-701	133	16	and	and	CCONJ
ejpam-701	133	17	hence	hence	ADV
ejpam-701	133	18	ψ	ψ	ADP
ejpam-701	133	19	∈ψ[ω	∈ψ[ω	PROPN
ejpam-701	133	20	,	,	PUNCT
ejpam-701	133	21	q	q	X
ejpam-701	133	22	]	]	X
ejpam-701	133	23	.	.	PUNCT
ejpam-701	134	1	by	by	ADP
ejpam-701	134	2	lemma	lemma	PROPN
ejpam-701	134	3	1	1	NUM
ejpam-701	134	4	,	,	PUNCT
ejpam-701	134	5	p(z	p(z	NOUN
ejpam-701	134	6	)	)	PUNCT
ejpam-701	134	7	≺	≺	NOUN
ejpam-701	134	8	q(z	q(z	PROPN
ejpam-701	134	9	)	)	PUNCT
ejpam-701	134	10	or	or	CCONJ
ejpam-701	134	11	zp	zp	NOUN
ejpam-701	135	1	i	i	PRON
ejpam-701	135	2	m	m	VERB
ejpam-701	135	3	p	p	X
ejpam-701	135	4	(	(	PUNCT
ejpam-701	135	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	135	6	)	)	PUNCT
ejpam-701	135	7	f	f	PROPN
ejpam-701	135	8	(	(	PUNCT
ejpam-701	135	9	z)≺	z)≺	PROPN
ejpam-701	135	10	q(z	q(z	PROPN
ejpam-701	135	11	)	)	PUNCT
ejpam-701	135	12	.	.	PUNCT
ejpam-701	136	1	if	if	SCONJ
ejpam-701	136	2	ω	ω	PROPN
ejpam-701	136	3	6=	6=	PROPN
ejpam-701	136	4	c	c	PROPN
ejpam-701	136	5	is	be	AUX
ejpam-701	136	6	a	a	DET
ejpam-701	136	7	simply	simply	ADV
ejpam-701	136	8	connected	connected	ADJ
ejpam-701	136	9	domain	domain	NOUN
ejpam-701	136	10	,	,	PUNCT
ejpam-701	136	11	then	then	ADV
ejpam-701	136	12	ω	ω	PROPN
ejpam-701	136	13	=	=	SYM
ejpam-701	136	14	h(u	h(u	PROPN
ejpam-701	136	15	)	)	PUNCT
ejpam-701	136	16	for	for	ADP
ejpam-701	136	17	some	some	DET
ejpam-701	136	18	conformal	conformal	ADJ
ejpam-701	136	19	mapping	map	VERB
ejpam-701	136	20	h(z	h(z	NOUN
ejpam-701	136	21	)	)	PUNCT
ejpam-701	136	22	of	of	ADP
ejpam-701	136	23	u	u	PRON
ejpam-701	136	24	onto	onto	ADP
ejpam-701	136	25	ω	ω	NUM
ejpam-701	136	26	.	.	PUNCT
ejpam-701	137	1	in	in	ADP
ejpam-701	137	2	this	this	DET
ejpam-701	137	3	case	case	NOUN
ejpam-701	137	4	the	the	DET
ejpam-701	137	5	class	class	NOUN
ejpam-701	137	6	φh[h(u),q	φh[h(u),q	NOUN
ejpam-701	137	7	]	]	PUNCT
ejpam-701	137	8	is	be	AUX
ejpam-701	137	9	written	write	VERB
ejpam-701	137	10	as	as	ADP
ejpam-701	137	11	φh[h	φh[h	PROPN
ejpam-701	137	12	,	,	PUNCT
ejpam-701	137	13	q	q	NOUN
ejpam-701	137	14	]	]	X
ejpam-701	137	15	.	.	PUNCT
ejpam-701	138	1	the	the	DET
ejpam-701	138	2	following	following	ADJ
ejpam-701	138	3	result	result	NOUN
ejpam-701	138	4	is	be	AUX
ejpam-701	138	5	an	an	DET
ejpam-701	138	6	immediate	immediate	ADJ
ejpam-701	138	7	consequence	consequence	NOUN
ejpam-701	138	8	of	of	ADP
ejpam-701	138	9	theorem	theorem	NOUN
ejpam-701	138	10	1	1	NUM
ejpam-701	138	11	.	.	PUNCT
ejpam-701	138	12	theorem	theorem	NOUN
ejpam-701	138	13	2	2	NUM
ejpam-701	138	14	.	.	PUNCT
ejpam-701	139	1	let	let	VERB
ejpam-701	139	2	ϕ	ϕ	PROPN
ejpam-701	139	3	∈	∈	PROPN
ejpam-701	139	4	φh[h	φh[h	PROPN
ejpam-701	139	5	,	,	PUNCT
ejpam-701	139	6	q	q	X
ejpam-701	139	7	]	]	X
ejpam-701	139	8	with	with	ADP
ejpam-701	139	9	q(0	q(0	PROPN
ejpam-701	139	10	)	)	PUNCT
ejpam-701	139	11	=	=	NOUN
ejpam-701	140	1	1	1	X
ejpam-701	140	2	.	.	PUNCT
ejpam-701	141	1	if	if	SCONJ
ejpam-701	141	2	f	f	PROPN
ejpam-701	141	3	(	(	PUNCT
ejpam-701	141	4	z	z	NOUN
ejpam-701	141	5	)	)	PUNCT
ejpam-701	141	6	∈	∈	PROPN
ejpam-701	141	7	∑	∑	PUNCT
ejpam-701	141	8	(	(	PUNCT
ejpam-701	141	9	p	p	NOUN
ejpam-701	141	10	)	)	PUNCT
ejpam-701	141	11	satisfies	satisfie	NOUN
ejpam-701	141	12	ϕ(zp	ϕ(zp	PROPN
ejpam-701	141	13	i	i	PRON
ejpam-701	141	14	m	m	VERB
ejpam-701	141	15	p	p	X
ejpam-701	141	16	(	(	PUNCT
ejpam-701	141	17	λ,ℓ	λ,ℓ	NOUN
ejpam-701	141	18	)	)	PUNCT
ejpam-701	141	19	f	f	NOUN
ejpam-701	141	20	(	(	PUNCT
ejpam-701	141	21	z	z	NOUN
ejpam-701	141	22	)	)	PUNCT
ejpam-701	141	23	,	,	PUNCT
ejpam-701	141	24	zp	zp	X
ejpam-701	141	25	im+1	im+1	PROPN
ejpam-701	141	26	p	p	X
ejpam-701	141	27	(	(	PUNCT
ejpam-701	141	28	λ,ℓ	λ,ℓ	NOUN
ejpam-701	141	29	)	)	PUNCT
ejpam-701	141	30	f	f	NOUN
ejpam-701	141	31	(	(	PUNCT
ejpam-701	141	32	z	z	NOUN
ejpam-701	141	33	)	)	PUNCT
ejpam-701	141	34	,	,	PUNCT
ejpam-701	141	35	zp	zp	PROPN
ejpam-701	141	36	im+2	im+2	PROPN
ejpam-701	141	37	p	p	X
ejpam-701	141	38	(	(	PUNCT
ejpam-701	141	39	λ,ℓ	λ,ℓ	NOUN
ejpam-701	141	40	)	)	PUNCT
ejpam-701	141	41	f	f	NOUN
ejpam-701	141	42	(	(	PUNCT
ejpam-701	141	43	z	z	NOUN
ejpam-701	141	44	)	)	PUNCT
ejpam-701	141	45	;	;	PUNCT
ejpam-701	141	46	z)≺	z)≺	PROPN
ejpam-701	141	47	h(z	h(z	PROPN
ejpam-701	141	48	)	)	PUNCT
ejpam-701	141	49	,	,	PUNCT
ejpam-701	141	50	(	(	PUNCT
ejpam-701	141	51	16	16	NUM
ejpam-701	141	52	)	)	PUNCT
ejpam-701	141	53	then	then	ADV
ejpam-701	141	54	zp	zp	INTJ
ejpam-701	142	1	i	i	PRON
ejpam-701	142	2	m	m	VERB
ejpam-701	142	3	p	p	X
ejpam-701	142	4	(	(	PUNCT
ejpam-701	142	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	142	6	)	)	PUNCT
ejpam-701	142	7	f	f	NOUN
ejpam-701	142	8	(	(	PUNCT
ejpam-701	142	9	z	z	NOUN
ejpam-701	142	10	)	)	PUNCT
ejpam-701	142	11	≺	≺	NOUN
ejpam-701	142	12	q(z	q(z	PROPN
ejpam-701	142	13	)	)	PUNCT
ejpam-701	142	14	.	.	PUNCT
ejpam-701	143	1	our	our	PRON
ejpam-701	143	2	next	next	ADJ
ejpam-701	143	3	result	result	NOUN
ejpam-701	143	4	is	be	AUX
ejpam-701	143	5	an	an	DET
ejpam-701	143	6	extension	extension	NOUN
ejpam-701	143	7	of	of	ADP
ejpam-701	143	8	theorem	theorem	NOUN
ejpam-701	143	9	1	1	NUM
ejpam-701	143	10	to	to	ADP
ejpam-701	143	11	the	the	DET
ejpam-701	143	12	case	case	NOUN
ejpam-701	143	13	where	where	SCONJ
ejpam-701	143	14	the	the	DET
ejpam-701	143	15	behavior	behavior	NOUN
ejpam-701	143	16	of	of	ADP
ejpam-701	143	17	q(z	q(z	PROPN
ejpam-701	143	18	)	)	PUNCT
ejpam-701	143	19	on	on	ADP
ejpam-701	143	20	∂	∂	NUM
ejpam-701	143	21	u	u	NOUN
ejpam-701	143	22	is	be	AUX
ejpam-701	143	23	not	not	PART
ejpam-701	143	24	known	know	VERB
ejpam-701	143	25	.	.	PUNCT
ejpam-701	144	1	corollary	corollary	ADJ
ejpam-701	144	2	1	1	NUM
ejpam-701	144	3	.	.	PUNCT
ejpam-701	145	1	let	let	VERB
ejpam-701	145	2	ω	ω	PROPN
ejpam-701	145	3	⊂	⊂	PROPN
ejpam-701	145	4	c	c	PROPN
ejpam-701	145	5	and	and	CCONJ
ejpam-701	145	6	let	let	VERB
ejpam-701	145	7	q(z	q(z	PROPN
ejpam-701	145	8	)	)	PUNCT
ejpam-701	145	9	be	be	AUX
ejpam-701	145	10	univalent	univalent	ADJ
ejpam-701	145	11	in	in	ADP
ejpam-701	145	12	u	u	PROPN
ejpam-701	145	13	,	,	PUNCT
ejpam-701	145	14	q(0	q(0	PROPN
ejpam-701	145	15	)	)	PUNCT
ejpam-701	145	16	=	=	SYM
ejpam-701	146	1	1	1	X
ejpam-701	146	2	.	.	PUNCT
ejpam-701	146	3	let	let	VERB
ejpam-701	146	4	ϕ	ϕ	PROPN
ejpam-701	146	5	∈	∈	PROPN
ejpam-701	146	6	φh[ω	φh[ω	VERB
ejpam-701	146	7	,	,	PUNCT
ejpam-701	146	8	qρ	qρ	ADV
ejpam-701	146	9	]	]	PUNCT
ejpam-701	146	10	for	for	ADP
ejpam-701	146	11	some	some	DET
ejpam-701	146	12	ρ	ρ	NUM
ejpam-701	146	13	∈	∈	PROPN
ejpam-701	146	14	(	(	PUNCT
ejpam-701	146	15	0,1	0,1	NOUN
ejpam-701	146	16	)	)	PUNCT
ejpam-701	146	17	,	,	PUNCT
ejpam-701	146	18	where	where	SCONJ
ejpam-701	146	19	,	,	PUNCT
ejpam-701	146	20	qρ(z	qρ(z	X
ejpam-701	146	21	)	)	PUNCT
ejpam-701	146	22	=	=	SYM
ejpam-701	146	23	q(ρz	q(ρz	PROPN
ejpam-701	146	24	)	)	PUNCT
ejpam-701	146	25	.	.	PUNCT
ejpam-701	147	1	if	if	SCONJ
ejpam-701	147	2	f	f	PROPN
ejpam-701	147	3	∈	∈	PROPN
ejpam-701	147	4	∑	∑	PUNCT
ejpam-701	147	5	(	(	PUNCT
ejpam-701	147	6	p	p	NOUN
ejpam-701	147	7	)	)	PUNCT
ejpam-701	147	8	and	and	CCONJ
ejpam-701	147	9	ϕ(zp	ϕ(zp	X
ejpam-701	147	10	i	i	PRON
ejpam-701	147	11	m	m	VERB
ejpam-701	147	12	p	p	X
ejpam-701	147	13	(	(	PUNCT
ejpam-701	147	14	λ,ℓ	λ,ℓ	NOUN
ejpam-701	147	15	)	)	PUNCT
ejpam-701	147	16	f	f	NOUN
ejpam-701	147	17	(	(	PUNCT
ejpam-701	147	18	z	z	NOUN
ejpam-701	147	19	)	)	PUNCT
ejpam-701	147	20	,	,	PUNCT
ejpam-701	147	21	zp	zp	X
ejpam-701	147	22	im+1	im+1	PROPN
ejpam-701	147	23	p	p	X
ejpam-701	147	24	(	(	PUNCT
ejpam-701	147	25	λ,ℓ	λ,ℓ	NOUN
ejpam-701	147	26	)	)	PUNCT
ejpam-701	147	27	f	f	NOUN
ejpam-701	147	28	(	(	PUNCT
ejpam-701	147	29	z	z	NOUN
ejpam-701	147	30	)	)	PUNCT
ejpam-701	147	31	,	,	PUNCT
ejpam-701	147	32	zp	zp	PROPN
ejpam-701	147	33	im+2	im+2	PROPN
ejpam-701	147	34	p	p	X
ejpam-701	147	35	(	(	PUNCT
ejpam-701	147	36	λ,ℓ	λ,ℓ	NOUN
ejpam-701	147	37	)	)	PUNCT
ejpam-701	147	38	f	f	NOUN
ejpam-701	147	39	(	(	PUNCT
ejpam-701	147	40	z	z	NOUN
ejpam-701	147	41	)	)	PUNCT
ejpam-701	147	42	;	;	PUNCT
ejpam-701	147	43	z	z	X
ejpam-701	147	44	)	)	PUNCT
ejpam-701	147	45	∈	∈	PROPN
ejpam-701	147	46	ω	ω	PROPN
ejpam-701	147	47	,	,	PUNCT
ejpam-701	147	48	then	then	ADV
ejpam-701	147	49	zp	zp	PROPN
ejpam-701	148	1	i	i	PRON
ejpam-701	148	2	m	m	VERB
ejpam-701	148	3	p	p	X
ejpam-701	148	4	(	(	PUNCT
ejpam-701	148	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	148	6	)	)	PUNCT
ejpam-701	148	7	f	f	NOUN
ejpam-701	148	8	(	(	PUNCT
ejpam-701	148	9	z	z	NOUN
ejpam-701	148	10	)	)	PUNCT
ejpam-701	148	11	≺	≺	NOUN
ejpam-701	148	12	q(z	q(z	PROPN
ejpam-701	148	13	)	)	PUNCT
ejpam-701	148	14	.	.	PUNCT
ejpam-701	149	1	proof	proof	NOUN
ejpam-701	149	2	.	.	PUNCT
ejpam-701	150	1	theorem	theorem	VERB
ejpam-701	150	2	1	1	NUM
ejpam-701	150	3	yields	yield	NOUN
ejpam-701	150	4	zp	zp	PROPN
ejpam-701	151	1	i	i	PRON
ejpam-701	151	2	m	m	VERB
ejpam-701	151	3	p	p	X
ejpam-701	151	4	(	(	PUNCT
ejpam-701	151	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	151	6	)	)	PUNCT
ejpam-701	151	7	f	f	NOUN
ejpam-701	151	8	(	(	PUNCT
ejpam-701	151	9	z	z	NOUN
ejpam-701	151	10	)	)	PUNCT
ejpam-701	151	11	≺	≺	NOUN
ejpam-701	151	12	qρ(z	qρ(z	NUM
ejpam-701	151	13	)	)	PUNCT
ejpam-701	151	14	.	.	PUNCT
ejpam-701	152	1	the	the	DET
ejpam-701	152	2	result	result	NOUN
ejpam-701	152	3	is	be	AUX
ejpam-701	152	4	now	now	ADV
ejpam-701	152	5	deduced	deduce	VERB
ejpam-701	152	6	from	from	ADP
ejpam-701	152	7	qρ(z)≺	qρ(z)≺	PROPN
ejpam-701	152	8	q(z	q(z	PROPN
ejpam-701	152	9	)	)	PUNCT
ejpam-701	152	10	.	.	PUNCT
ejpam-701	153	1	theorem	theorem	NOUN
ejpam-701	153	2	3	3	X
ejpam-701	153	3	.	.	PUNCT
ejpam-701	154	1	let	let	VERB
ejpam-701	154	2	h(z	h(z	NOUN
ejpam-701	154	3	)	)	PUNCT
ejpam-701	154	4	and	and	CCONJ
ejpam-701	154	5	q(z	q(z	PROPN
ejpam-701	154	6	)	)	PUNCT
ejpam-701	154	7	be	be	AUX
ejpam-701	154	8	univalent	univalent	ADJ
ejpam-701	154	9	in	in	ADP
ejpam-701	154	10	u	u	NOUN
ejpam-701	154	11	,	,	PUNCT
ejpam-701	154	12	with	with	ADP
ejpam-701	154	13	q(0	q(0	PROPN
ejpam-701	154	14	)	)	PUNCT
ejpam-701	154	15	=	=	SYM
ejpam-701	154	16	1	1	NUM
ejpam-701	154	17	and	and	CCONJ
ejpam-701	154	18	set	set	VERB
ejpam-701	154	19	qρ(z	qρ(z	NOUN
ejpam-701	154	20	)	)	PUNCT
ejpam-701	154	21	=	=	SYM
ejpam-701	154	22	q(ρz	q(ρz	PROPN
ejpam-701	154	23	)	)	PUNCT
ejpam-701	154	24	and	and	CCONJ
ejpam-701	154	25	hρ(z	hρ(z	NUM
ejpam-701	154	26	)	)	PUNCT
ejpam-701	155	1	=	=	SYM
ejpam-701	155	2	h(ρz	h(ρz	NOUN
ejpam-701	155	3	)	)	PUNCT
ejpam-701	155	4	.	.	PUNCT
ejpam-701	156	1	let	let	VERB
ejpam-701	156	2	ϕ	ϕ	NOUN
ejpam-701	156	3	:	:	PUNCT
ejpam-701	156	4	c3×	c3×	VERB
ejpam-701	156	5	u	u	PROPN
ejpam-701	156	6	→	→	SYM
ejpam-701	156	7	c	c	AUX
ejpam-701	156	8	satisfy	satisfy	VERB
ejpam-701	156	9	one	one	NUM
ejpam-701	156	10	of	of	ADP
ejpam-701	156	11	the	the	DET
ejpam-701	156	12	following	following	ADJ
ejpam-701	156	13	conditions	condition	NOUN
ejpam-701	156	14	:	:	PUNCT
ejpam-701	156	15	(	(	PUNCT
ejpam-701	156	16	1	1	X
ejpam-701	156	17	)	)	PUNCT
ejpam-701	156	18	ϕ	ϕ	PROPN
ejpam-701	156	19	∈	∈	PROPN
ejpam-701	156	20	φh[h	φh[h	PROPN
ejpam-701	156	21	,	,	PUNCT
ejpam-701	156	22	qρ	qρ	NOUN
ejpam-701	156	23	]	]	PUNCT
ejpam-701	156	24	,	,	PUNCT
ejpam-701	156	25	for	for	ADP
ejpam-701	156	26	some	some	DET
ejpam-701	156	27	ρ	ρ	NUM
ejpam-701	156	28	∈	∈	PROPN
ejpam-701	156	29	(	(	PUNCT
ejpam-701	156	30	0,1	0,1	NUM
ejpam-701	156	31	)	)	PUNCT
ejpam-701	156	32	,	,	PUNCT
ejpam-701	156	33	or	or	CCONJ
ejpam-701	156	34	(	(	PUNCT
ejpam-701	156	35	2	2	X
ejpam-701	156	36	)	)	PUNCT
ejpam-701	156	37	there	there	PRON
ejpam-701	156	38	exists	exist	VERB
ejpam-701	156	39	ρ0	ρ0	PROPN
ejpam-701	156	40	∈	∈	PROPN
ejpam-701	156	41	(	(	PUNCT
ejpam-701	156	42	0,1	0,1	NOUN
ejpam-701	156	43	)	)	PUNCT
ejpam-701	156	44	such	such	ADJ
ejpam-701	156	45	that	that	SCONJ
ejpam-701	156	46	ϕ	ϕ	PROPN
ejpam-701	156	47	∈	∈	PROPN
ejpam-701	156	48	φh[hρ	φh[hρ	PROPN
ejpam-701	156	49	,	,	PUNCT
ejpam-701	156	50	qρ	qρ	NOUN
ejpam-701	156	51	]	]	PUNCT
ejpam-701	156	52	,	,	PUNCT
ejpam-701	156	53	for	for	ADP
ejpam-701	156	54	all	all	DET
ejpam-701	156	55	ρ	ρ	NUM
ejpam-701	156	56	∈	∈	NOUN
ejpam-701	156	57	(	(	PUNCT
ejpam-701	156	58	ρ0	ρ0	PROPN
ejpam-701	156	59	,	,	PUNCT
ejpam-701	156	60	1	1	NUM
ejpam-701	156	61	)	)	PUNCT
ejpam-701	156	62	.	.	PUNCT
ejpam-701	157	1	if	if	SCONJ
ejpam-701	157	2	f	f	PROPN
ejpam-701	157	3	(	(	PUNCT
ejpam-701	157	4	z	z	NOUN
ejpam-701	157	5	)	)	PUNCT
ejpam-701	157	6	∈	∈	PROPN
ejpam-701	157	7	∑	∑	PUNCT
ejpam-701	157	8	(	(	PUNCT
ejpam-701	157	9	p	p	NOUN
ejpam-701	157	10	)	)	PUNCT
ejpam-701	157	11	satisfies	satisfie	NOUN
ejpam-701	157	12	(	(	PUNCT
ejpam-701	157	13	16	16	NUM
ejpam-701	157	14	)	)	PUNCT
ejpam-701	157	15	,	,	PUNCT
ejpam-701	157	16	then	then	ADV
ejpam-701	157	17	zp	zp	PROPN
ejpam-701	158	1	i	i	PRON
ejpam-701	158	2	m	m	VERB
ejpam-701	158	3	p	p	X
ejpam-701	158	4	(	(	PUNCT
ejpam-701	158	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	158	6	)	)	PUNCT
ejpam-701	158	7	f	f	NOUN
ejpam-701	158	8	(	(	PUNCT
ejpam-701	158	9	z	z	NOUN
ejpam-701	158	10	)	)	PUNCT
ejpam-701	158	11	≺	≺	NOUN
ejpam-701	158	12	q(z	q(z	PROPN
ejpam-701	158	13	)	)	PUNCT
ejpam-701	158	14	.	.	PUNCT
ejpam-701	159	1	proof	proof	NOUN
ejpam-701	159	2	.	.	PUNCT
ejpam-701	160	1	the	the	DET
ejpam-701	160	2	proof	proof	NOUN
ejpam-701	160	3	is	be	AUX
ejpam-701	160	4	similar	similar	ADJ
ejpam-701	160	5	to	to	ADP
ejpam-701	160	6	[	[	X
ejpam-701	160	7	14	14	NUM
ejpam-701	160	8	,	,	PUNCT
ejpam-701	160	9	theorem	theorem	VERB
ejpam-701	160	10	2.3d	2.3d	NUM
ejpam-701	160	11	,	,	PUNCT
ejpam-701	160	12	p.	p.	NOUN
ejpam-701	160	13	30	30	NUM
ejpam-701	160	14	]	]	PUNCT
ejpam-701	160	15	and	and	CCONJ
ejpam-701	160	16	is	be	AUX
ejpam-701	160	17	therefore	therefore	ADV
ejpam-701	160	18	omitted	omit	VERB
ejpam-701	160	19	.	.	PUNCT
ejpam-701	161	1	the	the	DET
ejpam-701	161	2	next	next	ADJ
ejpam-701	161	3	theorem	theorem	NOUN
ejpam-701	161	4	yields	yield	VERB
ejpam-701	161	5	the	the	DET
ejpam-701	161	6	best	good	ADJ
ejpam-701	161	7	dominant	dominant	NOUN
ejpam-701	161	8	of	of	ADP
ejpam-701	161	9	the	the	DET
ejpam-701	161	10	differential	differential	ADJ
ejpam-701	161	11	subordination	subordination	NOUN
ejpam-701	161	12	(	(	PUNCT
ejpam-701	161	13	16	16	NUM
ejpam-701	161	14	)	)	PUNCT
ejpam-701	161	15	.	.	PUNCT
ejpam-701	162	1	theorem	theorem	ADJ
ejpam-701	162	2	4	4	NUM
ejpam-701	162	3	.	.	PUNCT
ejpam-701	162	4	let	let	VERB
ejpam-701	162	5	h(z	h(z	NOUN
ejpam-701	162	6	)	)	PUNCT
ejpam-701	162	7	be	be	AUX
ejpam-701	162	8	univalent	univalent	ADJ
ejpam-701	162	9	in	in	ADP
ejpam-701	162	10	u	u	PROPN
ejpam-701	162	11	,	,	PUNCT
ejpam-701	162	12	andϕ	andϕ	INTJ
ejpam-701	162	13	:	:	PUNCT
ejpam-701	162	14	c3	c3	PROPN
ejpam-701	162	15	×	×	PROPN
ejpam-701	162	16	u	u	PROPN
ejpam-701	162	17	→	→	PROPN
ejpam-701	162	18	c.	c.	PROPN
ejpam-701	162	19	suppose	suppose	VERB
ejpam-701	162	20	that	that	SCONJ
ejpam-701	162	21	the	the	DET
ejpam-701	162	22	differential	differential	ADJ
ejpam-701	162	23	equation	equation	NOUN
ejpam-701	162	24	ϕ	ϕ	PROPN
ejpam-701	162	25	�	�	PROPN
ejpam-701	162	26	p(z	p(z	PROPN
ejpam-701	162	27	)	)	PUNCT
ejpam-701	162	28	,	,	PUNCT
ejpam-701	162	29	zp	zp	NOUN
ejpam-701	162	30	′	′	NUM
ejpam-701	162	31	(	(	PUNCT
ejpam-701	162	32	z)+	z)+	NUM
ejpam-701	162	33	�	�	PROPN
ejpam-701	162	34	ℓ	ℓ	PROPN
ejpam-701	162	35	λ	λ	PROPN
ejpam-701	162	36	�	�	PROPN
ejpam-701	162	37	p(z	p(z	PROPN
ejpam-701	162	38	)	)	PUNCT
ejpam-701	162	39	�	�	PROPN
ejpam-701	162	40	ℓ	ℓ	PROPN
ejpam-701	162	41	λ	λ	PROPN
ejpam-701	162	42	�	�	PROPN
ejpam-701	162	43	,	,	PUNCT
ejpam-701	162	44	z2p	z2p	PROPN
ejpam-701	162	45	′′	′′	PROPN
ejpam-701	162	46	(	(	PUNCT
ejpam-701	162	47	z)+	z)+	NUM
ejpam-701	162	48	�	�	PROPN
ejpam-701	162	49	1	1	NUM
ejpam-701	162	50	+	+	SYM
ejpam-701	162	51	2	2	NUM
ejpam-701	162	52	�	�	PROPN
ejpam-701	162	53	ℓ	ℓ	PROPN
ejpam-701	162	54	λ	λ	PROPN
ejpam-701	162	55	�	�	PROPN
ejpam-701	162	56	�	�	PROPN
ejpam-701	162	57	zp	zp	PROPN
ejpam-701	162	58	′	′	NUM
ejpam-701	162	59	(	(	PUNCT
ejpam-701	162	60	z)+	z)+	NUM
ejpam-701	162	61	�	�	PROPN
ejpam-701	162	62	ℓ	ℓ	PROPN
ejpam-701	162	63	λ	λ	PROPN
ejpam-701	162	64	�	�	PROPN
ejpam-701	162	65	2	2	NUM
ejpam-701	162	66	p(z	p(z	NOUN
ejpam-701	162	67	)	)	PUNCT
ejpam-701	162	68	�	�	PROPN
ejpam-701	162	69	ℓ	ℓ	PROPN
ejpam-701	162	70	λ	λ	PROPN
ejpam-701	162	71	�	�	PROPN
ejpam-701	162	72	2	2	NUM
ejpam-701	162	73	;	;	PUNCT
ejpam-701	162	74	z	z	PROPN
ejpam-701	162	75	�	�	PROPN
ejpam-701	162	76	=	=	SYM
ejpam-701	162	77	h(z	h(z	PROPN
ejpam-701	162	78	)	)	PUNCT
ejpam-701	162	79	(	(	PUNCT
ejpam-701	162	80	17	17	NUM
ejpam-701	162	81	)	)	PUNCT
ejpam-701	162	82	has	have	VERB
ejpam-701	162	83	a	a	DET
ejpam-701	162	84	solution	solution	NOUN
ejpam-701	162	85	q(z	q(z	PROPN
ejpam-701	162	86	)	)	PUNCT
ejpam-701	162	87	with	with	ADP
ejpam-701	162	88	q(0	q(0	PROPN
ejpam-701	162	89	)	)	PUNCT
ejpam-701	162	90	=	=	SYM
ejpam-701	162	91	1	1	NUM
ejpam-701	162	92	and	and	CCONJ
ejpam-701	162	93	satisfy	satisfy	VERB
ejpam-701	162	94	one	one	NUM
ejpam-701	162	95	of	of	ADP
ejpam-701	162	96	the	the	DET
ejpam-701	162	97	following	follow	VERB
ejpam-701	162	98	conditions	condition	NOUN
ejpam-701	162	99	:	:	PUNCT
ejpam-701	162	100	r.	r.	PROPN
ejpam-701	162	101	el	el	PROPN
ejpam-701	162	102	-	-	PUNCT
ejpam-701	162	103	ashwah	ashwah	NOUN
ejpam-701	162	104	,	,	PUNCT
ejpam-701	162	105	m.	m.	NOUN
ejpam-701	162	106	aouf	aouf	PROPN
ejpam-701	162	107	/	/	SYM
ejpam-701	162	108	eur	eur	PROPN
ejpam-701	162	109	.	.	PUNCT
ejpam-701	163	1	j.	j.	PROPN
ejpam-701	163	2	pure	pure	PROPN
ejpam-701	163	3	appl	appl	PROPN
ejpam-701	163	4	.	.	PROPN
ejpam-701	163	5	math	math	PROPN
ejpam-701	163	6	,	,	PUNCT
ejpam-701	163	7	3	3	NUM
ejpam-701	163	8	(	(	PUNCT
ejpam-701	163	9	2010	2010	NUM
ejpam-701	163	10	)	)	PUNCT
ejpam-701	163	11	,	,	PUNCT
ejpam-701	163	12	1070	1070	NUM
ejpam-701	163	13	-	-	SYM
ejpam-701	163	14	1085	1085	NUM
ejpam-701	163	15	1076	1076	NUM
ejpam-701	163	16	(	(	PUNCT
ejpam-701	163	17	1	1	NUM
ejpam-701	163	18	)	)	PUNCT
ejpam-701	163	19	q(z	q(z	PROPN
ejpam-701	163	20	)	)	PUNCT
ejpam-701	163	21	∈	∈	NOUN
ejpam-701	163	22	d1	d1	NOUN
ejpam-701	163	23	and	and	CCONJ
ejpam-701	163	24	ϕ	ϕ	PROPN
ejpam-701	163	25	∈	∈	PROPN
ejpam-701	163	26	φh[h	φh[h	PROPN
ejpam-701	163	27	,	,	PUNCT
ejpam-701	163	28	q	q	NOUN
ejpam-701	163	29	]	]	X
ejpam-701	163	30	,	,	PUNCT
ejpam-701	163	31	(	(	PUNCT
ejpam-701	163	32	2	2	X
ejpam-701	163	33	)	)	PUNCT
ejpam-701	163	34	q(z	q(z	PROPN
ejpam-701	163	35	)	)	PUNCT
ejpam-701	163	36	is	be	AUX
ejpam-701	163	37	univalent	univalent	ADJ
ejpam-701	163	38	in	in	ADP
ejpam-701	163	39	u	u	NOUN
ejpam-701	163	40	and	and	CCONJ
ejpam-701	163	41	ϕ	ϕ	PROPN
ejpam-701	163	42	∈	∈	PROPN
ejpam-701	163	43	φh[h	φh[h	PROPN
ejpam-701	163	44	,	,	PUNCT
ejpam-701	163	45	qρ	qρ	NOUN
ejpam-701	163	46	]	]	PUNCT
ejpam-701	163	47	,	,	PUNCT
ejpam-701	163	48	for	for	SCONJ
ejpam-701	163	49	some	some	DET
ejpam-701	163	50	ρ	ρ	NUM
ejpam-701	163	51	∈	∈	PROPN
ejpam-701	163	52	(	(	PUNCT
ejpam-701	163	53	0,1	0,1	NUM
ejpam-701	163	54	)	)	PUNCT
ejpam-701	163	55	,	,	PUNCT
ejpam-701	163	56	or	or	CCONJ
ejpam-701	163	57	(	(	PUNCT
ejpam-701	163	58	3	3	X
ejpam-701	163	59	)	)	PUNCT
ejpam-701	163	60	q(z	q(z	PROPN
ejpam-701	163	61	)	)	PUNCT
ejpam-701	163	62	is	be	AUX
ejpam-701	163	63	univalent	univalent	ADJ
ejpam-701	163	64	in	in	ADP
ejpam-701	163	65	u	u	NOUN
ejpam-701	163	66	and	and	CCONJ
ejpam-701	163	67	there	there	PRON
ejpam-701	163	68	exists	exist	VERB
ejpam-701	163	69	ρ0	ρ0	PROPN
ejpam-701	163	70	∈	∈	PROPN
ejpam-701	163	71	(	(	PUNCT
ejpam-701	163	72	0,1	0,1	NOUN
ejpam-701	163	73	)	)	PUNCT
ejpam-701	163	74	such	such	ADJ
ejpam-701	163	75	that	that	SCONJ
ejpam-701	163	76	ϕ	ϕ	PROPN
ejpam-701	163	77	∈	∈	PROPN
ejpam-701	163	78	φh[hρ	φh[hρ	PROPN
ejpam-701	163	79	,	,	PUNCT
ejpam-701	163	80	qρ	qρ	NOUN
ejpam-701	163	81	]	]	PUNCT
ejpam-701	163	82	,	,	PUNCT
ejpam-701	163	83	for	for	ADP
ejpam-701	163	84	all	all	DET
ejpam-701	163	85	ρ	ρ	NUM
ejpam-701	163	86	∈	∈	NOUN
ejpam-701	163	87	(	(	PUNCT
ejpam-701	163	88	ρ0	ρ0	PROPN
ejpam-701	163	89	,	,	PUNCT
ejpam-701	163	90	1	1	NUM
ejpam-701	163	91	)	)	PUNCT
ejpam-701	163	92	.	.	PUNCT
ejpam-701	164	1	if	if	SCONJ
ejpam-701	164	2	f	f	PROPN
ejpam-701	164	3	(	(	PUNCT
ejpam-701	164	4	z	z	NOUN
ejpam-701	164	5	)	)	PUNCT
ejpam-701	164	6	∈	∈	PROPN
ejpam-701	164	7	∑	∑	PUNCT
ejpam-701	164	8	(	(	PUNCT
ejpam-701	164	9	p	p	NOUN
ejpam-701	164	10	)	)	PUNCT
ejpam-701	164	11	satisfies	satisfie	NOUN
ejpam-701	164	12	(	(	PUNCT
ejpam-701	164	13	16	16	NUM
ejpam-701	164	14	)	)	PUNCT
ejpam-701	164	15	,	,	PUNCT
ejpam-701	164	16	then	then	ADV
ejpam-701	164	17	zp	zp	PROPN
ejpam-701	165	1	i	i	PRON
ejpam-701	165	2	m	m	VERB
ejpam-701	165	3	p	p	X
ejpam-701	165	4	(	(	PUNCT
ejpam-701	165	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	165	6	)	)	PUNCT
ejpam-701	165	7	f	f	NOUN
ejpam-701	165	8	(	(	PUNCT
ejpam-701	165	9	z	z	NOUN
ejpam-701	165	10	)	)	PUNCT
ejpam-701	165	11	≺	≺	NOUN
ejpam-701	165	12	q(z	q(z	PROPN
ejpam-701	165	13	)	)	PUNCT
ejpam-701	165	14	,	,	PUNCT
ejpam-701	165	15	and	and	CCONJ
ejpam-701	165	16	q(z	q(z	PROPN
ejpam-701	165	17	)	)	PUNCT
ejpam-701	165	18	is	be	AUX
ejpam-701	165	19	the	the	DET
ejpam-701	165	20	best	good	ADJ
ejpam-701	165	21	dominant	dominant	ADJ
ejpam-701	165	22	.	.	PUNCT
ejpam-701	166	1	proof	proof	NOUN
ejpam-701	166	2	.	.	PUNCT
ejpam-701	167	1	following	follow	VERB
ejpam-701	167	2	the	the	DET
ejpam-701	167	3	same	same	ADJ
ejpam-701	167	4	arguments	argument	NOUN
ejpam-701	167	5	in	in	ADP
ejpam-701	167	6	[	[	X
ejpam-701	167	7	14	14	NUM
ejpam-701	167	8	,	,	PUNCT
ejpam-701	167	9	theorem	theorem	VERB
ejpam-701	167	10	2.3e	2.3e	NUM
ejpam-701	167	11	,	,	PUNCT
ejpam-701	167	12	p.	p.	NOUN
ejpam-701	167	13	31	31	NUM
ejpam-701	167	14	]	]	PUNCT
ejpam-701	167	15	,	,	PUNCT
ejpam-701	167	16	we	we	PRON
ejpam-701	167	17	deduce	deduce	VERB
ejpam-701	167	18	that	that	SCONJ
ejpam-701	167	19	q(z	q(z	PROPN
ejpam-701	167	20	)	)	PUNCT
ejpam-701	167	21	is	be	AUX
ejpam-701	167	22	a	a	DET
ejpam-701	167	23	dominant	dominant	NOUN
ejpam-701	167	24	from	from	ADP
ejpam-701	167	25	theorems	theorem	NOUN
ejpam-701	167	26	2	2	NUM
ejpam-701	167	27	and	and	CCONJ
ejpam-701	167	28	3	3	NUM
ejpam-701	167	29	.	.	PUNCT
ejpam-701	168	1	since	since	SCONJ
ejpam-701	168	2	q(z	q(z	PROPN
ejpam-701	168	3	)	)	PUNCT
ejpam-701	168	4	satisfies	satisfie	NOUN
ejpam-701	168	5	(	(	PUNCT
ejpam-701	168	6	17	17	NUM
ejpam-701	168	7	)	)	PUNCT
ejpam-701	168	8	it	it	PRON
ejpam-701	168	9	is	be	AUX
ejpam-701	168	10	also	also	ADV
ejpam-701	168	11	a	a	DET
ejpam-701	168	12	solution	solution	NOUN
ejpam-701	168	13	of	of	ADP
ejpam-701	168	14	(	(	PUNCT
ejpam-701	168	15	16	16	NUM
ejpam-701	168	16	)	)	PUNCT
ejpam-701	168	17	and	and	CCONJ
ejpam-701	168	18	therefore	therefore	ADV
ejpam-701	168	19	q(z	q(z	PROPN
ejpam-701	168	20	)	)	PUNCT
ejpam-701	168	21	will	will	AUX
ejpam-701	168	22	be	be	AUX
ejpam-701	168	23	dominated	dominate	VERB
ejpam-701	168	24	by	by	ADP
ejpam-701	168	25	all	all	DET
ejpam-701	168	26	dominants	dominant	NOUN
ejpam-701	168	27	.	.	PUNCT
ejpam-701	169	1	hence	hence	ADV
ejpam-701	169	2	q(z	q(z	PROPN
ejpam-701	169	3	)	)	PUNCT
ejpam-701	169	4	is	be	AUX
ejpam-701	169	5	the	the	DET
ejpam-701	169	6	best	good	ADJ
ejpam-701	169	7	dominant	dominant	NOUN
ejpam-701	169	8	.	.	PUNCT
ejpam-701	170	1	in	in	ADP
ejpam-701	170	2	the	the	DET
ejpam-701	170	3	particular	particular	ADJ
ejpam-701	170	4	case	case	NOUN
ejpam-701	170	5	q(z	q(z	PROPN
ejpam-701	170	6	)	)	PUNCT
ejpam-701	170	7	=	=	SYM
ejpam-701	170	8	1	1	NUM
ejpam-701	170	9	+	+	CCONJ
ejpam-701	170	10	mz	mz	PROPN
ejpam-701	170	11	,	,	PUNCT
ejpam-701	170	12	m	m	VERB
ejpam-701	170	13	>	>	X
ejpam-701	170	14	0	0	NUM
ejpam-701	170	15	,	,	PUNCT
ejpam-701	170	16	and	and	CCONJ
ejpam-701	170	17	in	in	ADP
ejpam-701	170	18	view	view	NOUN
ejpam-701	170	19	of	of	ADP
ejpam-701	170	20	definition	definition	NOUN
ejpam-701	170	21	3	3	NUM
ejpam-701	170	22	,	,	PUNCT
ejpam-701	170	23	the	the	DET
ejpam-701	170	24	class	class	NOUN
ejpam-701	170	25	of	of	ADP
ejpam-701	170	26	admissible	admissible	ADJ
ejpam-701	170	27	functions	function	NOUN
ejpam-701	170	28	φh[ω	φh[ω	VERB
ejpam-701	170	29	,	,	PUNCT
ejpam-701	170	30	q	q	X
ejpam-701	170	31	]	]	X
ejpam-701	170	32	,	,	PUNCT
ejpam-701	170	33	denoted	denote	VERB
ejpam-701	170	34	by	by	ADP
ejpam-701	170	35	φh[ω	φh[ω	PROPN
ejpam-701	170	36	,	,	PUNCT
ejpam-701	170	37	m	m	VERB
ejpam-701	170	38	]	]	X
ejpam-701	170	39	,	,	PUNCT
ejpam-701	170	40	is	be	AUX
ejpam-701	170	41	described	describe	VERB
ejpam-701	170	42	below	below	ADV
ejpam-701	170	43	.	.	PUNCT
ejpam-701	171	1	definition	definition	NOUN
ejpam-701	171	2	4	4	NUM
ejpam-701	171	3	.	.	PUNCT
ejpam-701	172	1	let	let	VERB
ejpam-701	172	2	ω	ω	PRON
ejpam-701	172	3	be	be	AUX
ejpam-701	172	4	a	a	DET
ejpam-701	172	5	set	set	NOUN
ejpam-701	172	6	in	in	ADP
ejpam-701	172	7	c	c	PROPN
ejpam-701	172	8	and	and	CCONJ
ejpam-701	172	9	m	m	PROPN
ejpam-701	172	10	>	>	X
ejpam-701	172	11	0	0	X
ejpam-701	172	12	.	.	PUNCT
ejpam-701	173	1	the	the	DET
ejpam-701	173	2	class	class	NOUN
ejpam-701	173	3	of	of	ADP
ejpam-701	173	4	admissible	admissible	ADJ
ejpam-701	173	5	functions	function	NOUN
ejpam-701	173	6	φh[ω	φh[ω	VERB
ejpam-701	173	7	,	,	PUNCT
ejpam-701	173	8	m	m	PRON
ejpam-701	173	9	]	]	X
ejpam-701	173	10	consists	consist	VERB
ejpam-701	173	11	of	of	ADP
ejpam-701	173	12	those	those	DET
ejpam-701	173	13	functions	function	NOUN
ejpam-701	173	14	ϕ	ϕ	NOUN
ejpam-701	173	15	:	:	PUNCT
ejpam-701	173	16	c3×	c3×	NOUN
ejpam-701	173	17	u	u	NOUN
ejpam-701	173	18	→	→	SYM
ejpam-701	173	19	c	c	X
ejpam-701	173	20	such	such	ADJ
ejpam-701	173	21	that	that	SCONJ
ejpam-701	173	22	ϕ	ϕ	PROPN
ejpam-701	173	23			PROPN
ejpam-701	173	24			NOUN
ejpam-701	173	25	1+meiθ	1+meiθ	X
ejpam-701	173	26	,	,	PUNCT
ejpam-701	173	27	1	1	X
ejpam-701	173	28	+	+	NUM
ejpam-701	173	29	k+	k+	X
ejpam-701	173	30	�	�	PROPN
ejpam-701	173	31	ℓ	ℓ	PROPN
ejpam-701	173	32	λ	λ	PROPN
ejpam-701	173	33	�	�	PROPN
ejpam-701	173	34	�	�	PROPN
ejpam-701	173	35	ℓ	ℓ	PROPN
ejpam-701	173	36	λ	λ	PROPN
ejpam-701	173	37	�	�	PROPN
ejpam-701	173	38	meiθ	meiθ	NOUN
ejpam-701	173	39	,	,	PUNCT
ejpam-701	173	40	1	1	NUM
ejpam-701	173	41	+	+	NUM
ejpam-701	173	42	l	l	NOUN
ejpam-701	173	43	+	+	CCONJ
ejpam-701	173	44	h	h	NOUN
ejpam-701	173	45	�	�	NOUN
ejpam-701	173	46	1	1	NUM
ejpam-701	173	47	+	+	NUM
ejpam-701	173	48	2	2	NUM
ejpam-701	173	49	�	�	PROPN
ejpam-701	173	50	ℓ	ℓ	PROPN
ejpam-701	173	51	λ	λ	PROPN
ejpam-701	173	52	�	�	PROPN
ejpam-701	173	53	�	�	PROPN
ejpam-701	173	54	k+	k+	PROPN
ejpam-701	173	55	�	�	PROPN
ejpam-701	173	56	ℓ	ℓ	PROPN
ejpam-701	173	57	λ	λ	PROPN
ejpam-701	173	58	�	�	PROPN
ejpam-701	173	59	2	2	NUM
ejpam-701	173	60	i	i	PRON
ejpam-701	173	61	meiθ	meiθ	VERB
ejpam-701	173	62	�	�	PROPN
ejpam-701	173	63	ℓ	ℓ	PROPN
ejpam-701	173	64	λ	λ	PROPN
ejpam-701	173	65	�	�	PROPN
ejpam-701	173	66	2	2	NUM
ejpam-701	173	67	;	;	PUNCT
ejpam-701	173	68	z	z	NOUN
ejpam-701	173	69			PROPN
ejpam-701	173	70			NOUN
ejpam-701	173	71			PUNCT
ejpam-701	173	72	/∈	/∈	PUNCT
ejpam-701	174	1	ω	ω	INTJ
ejpam-701	174	2	(	(	PUNCT
ejpam-701	174	3	18	18	NUM
ejpam-701	174	4	)	)	PUNCT
ejpam-701	174	5	whenever	whenever	SCONJ
ejpam-701	174	6	z	z	PROPN
ejpam-701	174	7	∈	∈	PROPN
ejpam-701	174	8	u	u	PROPN
ejpam-701	174	9	,	,	PUNCT
ejpam-701	174	10	θ	θ	PROPN
ejpam-701	174	11	∈	∈	PROPN
ejpam-701	174	12	r	r	NOUN
ejpam-701	174	13	,	,	PUNCT
ejpam-701	174	14	re	re	X
ejpam-701	174	15	�	�	PROPN
ejpam-701	174	16	le−iθ	le−iθ	PROPN
ejpam-701	174	17	�	�	PROPN
ejpam-701	174	18	≥	≥	PROPN
ejpam-701	174	19	(	(	PUNCT
ejpam-701	174	20	k−	k−	PROPN
ejpam-701	174	21	1)km	1)km	PROPN
ejpam-701	174	22	for	for	ADP
ejpam-701	174	23	all	all	DET
ejpam-701	174	24	real	real	ADJ
ejpam-701	174	25	θ	θ	PROPN
ejpam-701	174	26	and	and	CCONJ
ejpam-701	174	27	k	k	PROPN
ejpam-701	174	28	≥	≥	NUM
ejpam-701	174	29	1	1	NUM
ejpam-701	174	30	.	.	PUNCT
ejpam-701	174	31	corollary	corollary	ADJ
ejpam-701	174	32	2	2	NUM
ejpam-701	174	33	.	.	PUNCT
ejpam-701	175	1	let	let	VERB
ejpam-701	175	2	ϕ	ϕ	PROPN
ejpam-701	175	3	∈	∈	PROPN
ejpam-701	175	4	φh[ω	φh[ω	PROPN
ejpam-701	175	5	,	,	PUNCT
ejpam-701	175	6	m	m	VERB
ejpam-701	175	7	]	]	X
ejpam-701	175	8	.	.	PUNCT
ejpam-701	176	1	if	if	SCONJ
ejpam-701	176	2	f	f	PROPN
ejpam-701	176	3	(	(	PUNCT
ejpam-701	176	4	z	z	NOUN
ejpam-701	176	5	)	)	PUNCT
ejpam-701	176	6	∈	∈	PROPN
ejpam-701	176	7	∑	∑	PUNCT
ejpam-701	176	8	(	(	PUNCT
ejpam-701	176	9	p	p	NOUN
ejpam-701	176	10	)	)	PUNCT
ejpam-701	176	11	satisfies	satisfie	NOUN
ejpam-701	176	12	ϕ(zp	ϕ(zp	PROPN
ejpam-701	176	13	i	i	PRON
ejpam-701	176	14	m	m	VERB
ejpam-701	176	15	p	p	X
ejpam-701	176	16	(	(	PUNCT
ejpam-701	176	17	λ,ℓ	λ,ℓ	NOUN
ejpam-701	176	18	)	)	PUNCT
ejpam-701	176	19	f	f	NOUN
ejpam-701	176	20	(	(	PUNCT
ejpam-701	176	21	z	z	NOUN
ejpam-701	176	22	)	)	PUNCT
ejpam-701	176	23	,	,	PUNCT
ejpam-701	176	24	zp	zp	PROPN
ejpam-701	176	25	im+1	im+1	PROPN
ejpam-701	176	26	p	p	X
ejpam-701	176	27	(	(	PUNCT
ejpam-701	176	28	λ,ℓ	λ,ℓ	NOUN
ejpam-701	176	29	)	)	PUNCT
ejpam-701	176	30	f	f	NOUN
ejpam-701	176	31	(	(	PUNCT
ejpam-701	176	32	z	z	NOUN
ejpam-701	176	33	)	)	PUNCT
ejpam-701	176	34	,	,	PUNCT
ejpam-701	176	35	zp	zp	PROPN
ejpam-701	176	36	im+2	im+2	PROPN
ejpam-701	176	37	p	p	X
ejpam-701	176	38	(	(	PUNCT
ejpam-701	176	39	λ,ℓ	λ,ℓ	NOUN
ejpam-701	176	40	)	)	PUNCT
ejpam-701	176	41	f	f	NOUN
ejpam-701	176	42	(	(	PUNCT
ejpam-701	176	43	z	z	NOUN
ejpam-701	176	44	)	)	PUNCT
ejpam-701	176	45	;	;	PUNCT
ejpam-701	176	46	z	z	X
ejpam-701	176	47	)	)	PUNCT
ejpam-701	176	48	∈	∈	PROPN
ejpam-701	176	49	ω	ω	PROPN
ejpam-701	176	50	,	,	PUNCT
ejpam-701	176	51	then	then	ADV
ejpam-701	176	52	�	�	PROPN
ejpam-701	176	53	�	�	PROPN
ejpam-701	176	54	�	�	PROPN
ejpam-701	176	55	zp	zp	PROPN
ejpam-701	177	1	i	i	PROPN
ejpam-701	177	2	m	m	VERB
ejpam-701	177	3	p	p	X
ejpam-701	177	4	(	(	PUNCT
ejpam-701	177	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	177	6	)	)	PUNCT
ejpam-701	177	7	f	f	NOUN
ejpam-701	177	8	(	(	PUNCT
ejpam-701	177	9	z)−	z)−	PROPN
ejpam-701	177	10	1	1	NUM
ejpam-701	177	11	�	�	PROPN
ejpam-701	177	12	�	�	PROPN
ejpam-701	177	13	�	�	PROPN
ejpam-701	177	14	<	<	X
ejpam-701	177	15	m	m	PROPN
ejpam-701	177	16	.	.	PUNCT
ejpam-701	178	1	in	in	ADP
ejpam-701	178	2	the	the	DET
ejpam-701	178	3	special	special	ADJ
ejpam-701	178	4	case	case	NOUN
ejpam-701	178	5	ω	ω	NOUN
ejpam-701	178	6	=	=	SYM
ejpam-701	178	7	q(u	q(u	PROPN
ejpam-701	178	8	)	)	PUNCT
ejpam-701	178	9	=	=	SYM
ejpam-701	178	10	{	{	PUNCT
ejpam-701	178	11	w	w	NOUN
ejpam-701	178	12	:	:	PUNCT
ejpam-701	178	13	|w	|w	ADJ
ejpam-701	178	14	−	−	PROPN
ejpam-701	179	1	1|	1|	NUM
ejpam-701	179	2	<	<	X
ejpam-701	179	3	m	m	PRON
ejpam-701	179	4	}	}	PUNCT
ejpam-701	179	5	,	,	PUNCT
ejpam-701	179	6	the	the	DET
ejpam-701	179	7	class	class	NOUN
ejpam-701	179	8	φh[ω	φh[ω	VERB
ejpam-701	179	9	,	,	PUNCT
ejpam-701	179	10	m	m	PRON
ejpam-701	179	11	]	]	X
ejpam-701	179	12	is	be	AUX
ejpam-701	179	13	simply	simply	ADV
ejpam-701	179	14	denoted	denote	VERB
ejpam-701	179	15	by	by	ADP
ejpam-701	179	16	φh[m	φh[m	NOUN
ejpam-701	179	17	]	]	PUNCT
ejpam-701	179	18	.	.	PUNCT
ejpam-701	180	1	corollary	corollary	ADJ
ejpam-701	180	2	2	2	NUM
ejpam-701	180	3	can	can	AUX
ejpam-701	180	4	be	be	AUX
ejpam-701	180	5	written	write	VERB
ejpam-701	180	6	as	as	ADP
ejpam-701	180	7	:	:	PUNCT
ejpam-701	180	8	corollary	corollary	ADJ
ejpam-701	180	9	3	3	X
ejpam-701	180	10	.	.	PUNCT
ejpam-701	181	1	let	let	VERB
ejpam-701	181	2	ϕ	ϕ	PROPN
ejpam-701	181	3	∈	∈	PROPN
ejpam-701	181	4	φh[m	φh[m	PROPN
ejpam-701	181	5	]	]	PUNCT
ejpam-701	181	6	.	.	PUNCT
ejpam-701	182	1	if	if	SCONJ
ejpam-701	182	2	f	f	PROPN
ejpam-701	182	3	(	(	PUNCT
ejpam-701	182	4	z	z	NOUN
ejpam-701	182	5	)	)	PUNCT
ejpam-701	182	6	∈	∈	PROPN
ejpam-701	182	7	∑	∑	PUNCT
ejpam-701	182	8	(	(	PUNCT
ejpam-701	182	9	p	p	NOUN
ejpam-701	182	10	)	)	PUNCT
ejpam-701	182	11	satisfies	satisfy	VERB
ejpam-701	182	12	�	�	PROPN
ejpam-701	182	13	�	�	PROPN
ejpam-701	182	14	�	�	PROPN
ejpam-701	182	15	ϕ(zp	ϕ(zp	PROPN
ejpam-701	182	16	i	i	NOUN
ejpam-701	182	17	m	m	VERB
ejpam-701	182	18	p	p	X
ejpam-701	182	19	(	(	PUNCT
ejpam-701	182	20	λ,ℓ	λ,ℓ	NOUN
ejpam-701	182	21	)	)	PUNCT
ejpam-701	182	22	f	f	NOUN
ejpam-701	182	23	(	(	PUNCT
ejpam-701	182	24	z	z	NOUN
ejpam-701	182	25	)	)	PUNCT
ejpam-701	182	26	,	,	PUNCT
ejpam-701	182	27	zp	zp	PROPN
ejpam-701	182	28	im+1	im+1	PROPN
ejpam-701	182	29	p	p	X
ejpam-701	182	30	(	(	PUNCT
ejpam-701	182	31	λ,ℓ	λ,ℓ	NOUN
ejpam-701	182	32	)	)	PUNCT
ejpam-701	182	33	f	f	NOUN
ejpam-701	182	34	(	(	PUNCT
ejpam-701	182	35	z	z	NOUN
ejpam-701	182	36	)	)	PUNCT
ejpam-701	182	37	,	,	PUNCT
ejpam-701	182	38	zp	zp	PROPN
ejpam-701	182	39	im+2	im+2	PROPN
ejpam-701	182	40	p	p	X
ejpam-701	182	41	(	(	PUNCT
ejpam-701	182	42	λ,ℓ	λ,ℓ	NOUN
ejpam-701	182	43	)	)	PUNCT
ejpam-701	182	44	f	f	NOUN
ejpam-701	182	45	(	(	PUNCT
ejpam-701	182	46	z	z	NOUN
ejpam-701	182	47	)	)	PUNCT
ejpam-701	182	48	;	;	PUNCT
ejpam-701	182	49	z)−	z)−	PROPN
ejpam-701	182	50	1	1	NUM
ejpam-701	182	51	�	�	PROPN
ejpam-701	182	52	�	�	PROPN
ejpam-701	182	53	�	�	PROPN
ejpam-701	182	54	<	<	X
ejpam-701	182	55	m	m	PROPN
ejpam-701	182	56	,	,	PUNCT
ejpam-701	182	57	then	then	ADV
ejpam-701	182	58	�	�	PROPN
ejpam-701	182	59	�	�	PROPN
ejpam-701	182	60	�	�	PROPN
ejpam-701	182	61	zp	zp	PROPN
ejpam-701	183	1	i	i	PROPN
ejpam-701	183	2	m	m	VERB
ejpam-701	183	3	p	p	X
ejpam-701	183	4	(	(	PUNCT
ejpam-701	183	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	183	6	)	)	PUNCT
ejpam-701	183	7	f	f	NOUN
ejpam-701	183	8	(	(	PUNCT
ejpam-701	183	9	z)−	z)−	PROPN
ejpam-701	183	10	1	1	NUM
ejpam-701	183	11	�	�	PROPN
ejpam-701	183	12	�	�	PROPN
ejpam-701	183	13	�	�	PROPN
ejpam-701	183	14	<	<	X
ejpam-701	183	15	m	m	PROPN
ejpam-701	183	16	.	.	PUNCT
ejpam-701	184	1	r.	r.	PROPN
ejpam-701	184	2	el	el	PROPN
ejpam-701	184	3	-	-	PUNCT
ejpam-701	184	4	ashwah	ashwah	NOUN
ejpam-701	184	5	,	,	PUNCT
ejpam-701	184	6	m.	m.	NOUN
ejpam-701	184	7	aouf	aouf	PROPN
ejpam-701	184	8	/	/	SYM
ejpam-701	184	9	eur	eur	PROPN
ejpam-701	184	10	.	.	PUNCT
ejpam-701	185	1	j.	j.	PROPN
ejpam-701	185	2	pure	pure	PROPN
ejpam-701	185	3	appl	appl	PROPN
ejpam-701	185	4	.	.	PROPN
ejpam-701	185	5	math	math	PROPN
ejpam-701	185	6	,	,	PUNCT
ejpam-701	185	7	3	3	NUM
ejpam-701	185	8	(	(	PUNCT
ejpam-701	185	9	2010	2010	NUM
ejpam-701	185	10	)	)	PUNCT
ejpam-701	185	11	,	,	PUNCT
ejpam-701	185	12	1070	1070	NUM
ejpam-701	185	13	-	-	SYM
ejpam-701	185	14	1085	1085	NUM
ejpam-701	185	15	1077	1077	NUM
ejpam-701	185	16	corollary	corollary	ADJ
ejpam-701	185	17	4	4	NUM
ejpam-701	185	18	.	.	PUNCT
ejpam-701	186	1	if	if	SCONJ
ejpam-701	186	2	m	m	ADV
ejpam-701	186	3	>	>	X
ejpam-701	186	4	0	0	PUNCT
ejpam-701	187	1	and	and	CCONJ
ejpam-701	187	2	f	f	PROPN
ejpam-701	187	3	(	(	PUNCT
ejpam-701	187	4	z	z	NOUN
ejpam-701	187	5	)	)	PUNCT
ejpam-701	187	6	∈	∈	PROPN
ejpam-701	187	7	∑	∑	PUNCT
ejpam-701	187	8	(	(	PUNCT
ejpam-701	187	9	p	p	NOUN
ejpam-701	187	10	)	)	PUNCT
ejpam-701	187	11	satisfies	satisfy	VERB
ejpam-701	187	12	�	�	PROPN
ejpam-701	187	13	�	�	PROPN
ejpam-701	187	14	�	�	PROPN
ejpam-701	187	15	zp	zp	PROPN
ejpam-701	187	16	im+1	im+1	PROPN
ejpam-701	187	17	p	p	X
ejpam-701	187	18	(	(	PUNCT
ejpam-701	187	19	λ,ℓ	λ,ℓ	NOUN
ejpam-701	187	20	)	)	PUNCT
ejpam-701	187	21	f	f	NOUN
ejpam-701	187	22	(	(	PUNCT
ejpam-701	187	23	z)−	z)−	PROPN
ejpam-701	187	24	zp	zp	VERB
ejpam-701	188	1	i	i	PRON
ejpam-701	188	2	m	m	VERB
ejpam-701	188	3	p	p	X
ejpam-701	188	4	(	(	PUNCT
ejpam-701	188	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	188	6	)	)	PUNCT
ejpam-701	188	7	f	f	NOUN
ejpam-701	188	8	(	(	PUNCT
ejpam-701	188	9	z	z	NOUN
ejpam-701	188	10	)	)	PUNCT
ejpam-701	188	11	�	�	PROPN
ejpam-701	188	12	�	�	PROPN
ejpam-701	188	13	�	�	PROPN
ejpam-701	188	14	<	<	X
ejpam-701	188	15	m	m	PROPN
ejpam-701	188	16	�	�	PROPN
ejpam-701	188	17	ℓ	ℓ	PROPN
ejpam-701	188	18	λ	λ	PROPN
ejpam-701	188	19	�	�	PROPN
ejpam-701	188	20	,	,	PUNCT
ejpam-701	188	21	then	then	ADV
ejpam-701	188	22	�	�	PROPN
ejpam-701	188	23	�	�	PROPN
ejpam-701	188	24	�	�	PROPN
ejpam-701	188	25	zp	zp	PROPN
ejpam-701	189	1	i	i	PROPN
ejpam-701	189	2	m	m	VERB
ejpam-701	189	3	p	p	X
ejpam-701	189	4	(	(	PUNCT
ejpam-701	189	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	189	6	)	)	PUNCT
ejpam-701	189	7	f	f	NOUN
ejpam-701	189	8	(	(	PUNCT
ejpam-701	189	9	z)−	z)−	PROPN
ejpam-701	189	10	1	1	NUM
ejpam-701	189	11	�	�	PROPN
ejpam-701	189	12	�	�	PROPN
ejpam-701	189	13	�	�	PROPN
ejpam-701	189	14	<	<	X
ejpam-701	189	15	m	m	PROPN
ejpam-701	189	16	.	.	PUNCT
ejpam-701	190	1	(	(	PUNCT
ejpam-701	190	2	19	19	NUM
ejpam-701	190	3	)	)	PUNCT
ejpam-701	190	4	proof	proof	NOUN
ejpam-701	190	5	.	.	PUNCT
ejpam-701	191	1	the	the	DET
ejpam-701	191	2	proof	proof	NOUN
ejpam-701	191	3	follows	follow	VERB
ejpam-701	191	4	from	from	ADP
ejpam-701	191	5	corollary	corollary	ADJ
ejpam-701	191	6	2	2	NUM
ejpam-701	191	7	by	by	ADP
ejpam-701	191	8	taking	take	VERB
ejpam-701	191	9	ϕ(u	ϕ(u	PROPN
ejpam-701	191	10	,	,	PUNCT
ejpam-701	191	11	v	v	NOUN
ejpam-701	191	12	,	,	PUNCT
ejpam-701	191	13	w	w	NOUN
ejpam-701	191	14	;	;	PUNCT
ejpam-701	191	15	z	z	X
ejpam-701	191	16	)	)	PUNCT
ejpam-701	191	17	=	=	SYM
ejpam-701	191	18	v	v	ADP
ejpam-701	191	19	−	−	PROPN
ejpam-701	191	20	u	u	NOUN
ejpam-701	191	21	and	and	CCONJ
ejpam-701	191	22	ω	ω	NUM
ejpam-701	191	23	=	=	SYM
ejpam-701	191	24	h(u	h(u	PROPN
ejpam-701	191	25	)	)	PUNCT
ejpam-701	191	26	,	,	PUNCT
ejpam-701	191	27	where	where	SCONJ
ejpam-701	191	28	h(z	h(z	NOUN
ejpam-701	191	29	)	)	PUNCT
ejpam-701	191	30	=	=	SYM
ejpam-701	191	31	mz	mz	PROPN
ejpam-701	191	32	�	�	PROPN
ejpam-701	191	33	ℓ	ℓ	PROPN
ejpam-701	191	34	λ	λ	PROPN
ejpam-701	191	35	�	�	PROPN
ejpam-701	191	36	,	,	PUNCT
ejpam-701	191	37	m	m	VERB
ejpam-701	191	38	>	>	X
ejpam-701	191	39	0	0	X
ejpam-701	191	40	.	.	PUNCT
ejpam-701	192	1	to	to	PART
ejpam-701	192	2	use	use	VERB
ejpam-701	192	3	corollary	corollary	ADJ
ejpam-701	192	4	2	2	NUM
ejpam-701	192	5	,	,	PUNCT
ejpam-701	192	6	we	we	PRON
ejpam-701	192	7	need	need	VERB
ejpam-701	192	8	to	to	PART
ejpam-701	192	9	show	show	VERB
ejpam-701	192	10	that	that	SCONJ
ejpam-701	192	11	ϕ	ϕ	PROPN
ejpam-701	192	12	∈	∈	PROPN
ejpam-701	192	13	φh[ω	φh[ω	VERB
ejpam-701	192	14	,	,	PUNCT
ejpam-701	192	15	m	m	VERB
ejpam-701	192	16	]	]	X
ejpam-701	192	17	,	,	PUNCT
ejpam-701	192	18	that	that	ADV
ejpam-701	192	19	is	is	ADV
ejpam-701	192	20	,	,	PUNCT
ejpam-701	192	21	the	the	DET
ejpam-701	192	22	admissible	admissible	ADJ
ejpam-701	192	23	condition	condition	NOUN
ejpam-701	192	24	(	(	PUNCT
ejpam-701	192	25	18	18	NUM
ejpam-701	192	26	)	)	PUNCT
ejpam-701	192	27	is	be	AUX
ejpam-701	192	28	satisfied	satisfied	ADJ
ejpam-701	192	29	.	.	PUNCT
ejpam-701	193	1	this	this	PRON
ejpam-701	193	2	follows	follow	VERB
ejpam-701	193	3	since	since	SCONJ
ejpam-701	193	4	�	�	PROPN
ejpam-701	193	5	�	�	PROPN
ejpam-701	193	6	�	�	PROPN
ejpam-701	193	7	�	�	PROPN
ejpam-701	193	8	�	�	PROPN
ejpam-701	193	9	ϕ	ϕ	PROPN
ejpam-701	193	10	�	�	PROPN
ejpam-701	193	11	1+meiθ	1+meiθ	PROPN
ejpam-701	193	12	,	,	PUNCT
ejpam-701	193	13	1	1	NUM
ejpam-701	193	14	+	+	NUM
ejpam-701	193	15	k+	k+	X
ejpam-701	193	16	�	�	PROPN
ejpam-701	193	17	ℓ	ℓ	PROPN
ejpam-701	193	18	λ	λ	PROPN
ejpam-701	193	19	�	�	PROPN
ejpam-701	193	20	�	�	PROPN
ejpam-701	193	21	ℓ	ℓ	PROPN
ejpam-701	193	22	λ	λ	PROPN
ejpam-701	193	23	�	�	PROPN
ejpam-701	193	24	meiθ	meiθ	NOUN
ejpam-701	193	25	,	,	PUNCT
ejpam-701	193	26	1	1	NUM
ejpam-701	193	27	+	+	NUM
ejpam-701	193	28	l+	l+	X
ejpam-701	193	29	n	n	PRON
ejpam-701	193	30	�	�	PROPN
ejpam-701	193	31	2	2	NUM
ejpam-701	194	1	�	�	PROPN
ejpam-701	194	2	ℓ	ℓ	PROPN
ejpam-701	194	3	λ	λ	PROPN
ejpam-701	194	4	�	�	PROPN
ejpam-701	194	5	+1	+1	PROPN
ejpam-701	194	6	�	�	PROPN
ejpam-701	194	7	k+	k+	X
ejpam-701	194	8	�	�	PROPN
ejpam-701	194	9	ℓ	ℓ	PROPN
ejpam-701	194	10	λ	λ	PROPN
ejpam-701	194	11	�	�	PROPN
ejpam-701	194	12	2	2	NUM
ejpam-701	194	13	o	o	NOUN
ejpam-701	194	14	meiθ	meiθ	NOUN
ejpam-701	194	15	�	�	PROPN
ejpam-701	194	16	ℓ	ℓ	PROPN
ejpam-701	194	17	λ	λ	PROPN
ejpam-701	194	18	�	�	PROPN
ejpam-701	194	19	2	2	NUM
ejpam-701	194	20	;	;	PUNCT
ejpam-701	194	21	z	z	PROPN
ejpam-701	194	22	�	�	PROPN
ejpam-701	194	23	�	�	PROPN
ejpam-701	194	24	�	�	PROPN
ejpam-701	194	25	�	�	PROPN
ejpam-701	194	26	�	�	PROPN
ejpam-701	194	27	�	�	PROPN
ejpam-701	194	28	=	=	SYM
ejpam-701	194	29	km	km	PROPN
ejpam-701	194	30	�	�	PROPN
ejpam-701	194	31	ℓ	ℓ	PROPN
ejpam-701	194	32	λ	λ	PROPN
ejpam-701	194	33	�	�	PROPN
ejpam-701	194	34	≥	≥	PROPN
ejpam-701	194	35	m	m	PROPN
ejpam-701	194	36	�	�	PROPN
ejpam-701	194	37	ℓ	ℓ	PROPN
ejpam-701	194	38	λ	λ	PROPN
ejpam-701	194	39	�	�	PROPN
ejpam-701	194	40	,	,	PUNCT
ejpam-701	194	41	where	where	SCONJ
ejpam-701	194	42	z	z	PROPN
ejpam-701	194	43	∈	∈	PROPN
ejpam-701	194	44	u	u	PROPN
ejpam-701	194	45	,	,	PUNCT
ejpam-701	194	46	θ	θ	PROPN
ejpam-701	194	47	∈	∈	PROPN
ejpam-701	194	48	r	r	NOUN
ejpam-701	194	49	,	,	PUNCT
ejpam-701	194	50	and	and	CCONJ
ejpam-701	194	51	k	k	PROPN
ejpam-701	194	52	≥	≥	NUM
ejpam-701	194	53	1	1	NUM
ejpam-701	194	54	.	.	PUNCT
ejpam-701	194	55	hence	hence	ADV
ejpam-701	194	56	by	by	ADP
ejpam-701	194	57	corollary	corollary	ADJ
ejpam-701	194	58	2	2	NUM
ejpam-701	194	59	,	,	PUNCT
ejpam-701	194	60	we	we	PRON
ejpam-701	194	61	deduce	deduce	VERB
ejpam-701	194	62	the	the	DET
ejpam-701	194	63	required	require	VERB
ejpam-701	194	64	result	result	NOUN
ejpam-701	194	65	.	.	PUNCT
ejpam-701	195	1	theorem	theorem	VERB
ejpam-701	195	2	4	4	NUM
ejpam-701	195	3	shows	show	VERB
ejpam-701	195	4	that	that	SCONJ
ejpam-701	195	5	the	the	DET
ejpam-701	195	6	result	result	NOUN
ejpam-701	195	7	is	be	AUX
ejpam-701	195	8	sharp	sharp	ADJ
ejpam-701	195	9	.	.	PUNCT
ejpam-701	196	1	the	the	DET
ejpam-701	196	2	differential	differential	ADJ
ejpam-701	196	3	equation	equation	NOUN
ejpam-701	196	4	zq	zq	PROPN
ejpam-701	196	5	′	′	NUM
ejpam-701	196	6	(	(	PUNCT
ejpam-701	196	7	z	z	X
ejpam-701	196	8	)	)	PUNCT
ejpam-701	196	9	�	�	PROPN
ejpam-701	196	10	ℓ	ℓ	PROPN
ejpam-701	196	11	λ	λ	PROPN
ejpam-701	196	12	�	�	PROPN
ejpam-701	196	13	=	=	PUNCT
ejpam-701	196	14	m	m	VERB
ejpam-701	196	15	�	�	PROPN
ejpam-701	196	16	ℓ	ℓ	PROPN
ejpam-701	196	17	λ	λ	PROPN
ejpam-701	196	18	�	�	PROPN
ejpam-701	196	19	z	z	PROPN
ejpam-701	196	20	(	(	PUNCT
ejpam-701	196	21	ℓ	ℓ	INTJ
ejpam-701	196	22	<	<	X
ejpam-701	196	23	λm	λm	NOUN
ejpam-701	196	24	)	)	PUNCT
ejpam-701	196	25	has	have	VERB
ejpam-701	196	26	a	a	DET
ejpam-701	196	27	univalent	univalent	ADJ
ejpam-701	196	28	solution	solution	NOUN
ejpam-701	196	29	q(z	q(z	PROPN
ejpam-701	196	30	)	)	PUNCT
ejpam-701	196	31	=	=	SYM
ejpam-701	196	32	1+mz	1+mz	NUM
ejpam-701	196	33	.	.	PUNCT
ejpam-701	197	1	it	it	PRON
ejpam-701	197	2	follows	follow	VERB
ejpam-701	197	3	from	from	ADP
ejpam-701	197	4	theorem	theorem	ADJ
ejpam-701	197	5	4	4	NUM
ejpam-701	197	6	that	that	PRON
ejpam-701	197	7	q(z	q(z	NUM
ejpam-701	197	8	)	)	PUNCT
ejpam-701	197	9	=	=	SYM
ejpam-701	198	1	1+mz	1+mz	NUM
ejpam-701	198	2	is	be	AUX
ejpam-701	198	3	the	the	DET
ejpam-701	198	4	best	good	ADJ
ejpam-701	198	5	dominant	dominant	ADJ
ejpam-701	198	6	.	.	PUNCT
ejpam-701	199	1	definition	definition	NOUN
ejpam-701	199	2	5	5	NUM
ejpam-701	199	3	.	.	PUNCT
ejpam-701	200	1	let	let	VERB
ejpam-701	200	2	ω	ω	NUM
ejpam-701	200	3	be	be	AUX
ejpam-701	200	4	a	a	DET
ejpam-701	200	5	set	set	NOUN
ejpam-701	200	6	in	in	ADP
ejpam-701	200	7	c	c	PROPN
ejpam-701	200	8	and	and	CCONJ
ejpam-701	200	9	q(z	q(z	PROPN
ejpam-701	200	10	)	)	PUNCT
ejpam-701	200	11	∈	∈	PROPN
ejpam-701	200	12	d1∩h	d1∩h	NOUN
ejpam-701	200	13	.	.	PUNCT
ejpam-701	201	1	the	the	DET
ejpam-701	201	2	class	class	NOUN
ejpam-701	201	3	of	of	ADP
ejpam-701	201	4	admissible	admissible	ADJ
ejpam-701	201	5	functions	function	NOUN
ejpam-701	201	6	φh,1[ω	φh,1[ω	VERB
ejpam-701	201	7	,	,	PUNCT
ejpam-701	201	8	q	q	X
ejpam-701	201	9	]	]	PUNCT
ejpam-701	201	10	consists	consist	VERB
ejpam-701	201	11	of	of	ADP
ejpam-701	201	12	those	those	DET
ejpam-701	201	13	functions	function	NOUN
ejpam-701	201	14	ϕ	ϕ	NOUN
ejpam-701	201	15	:	:	PUNCT
ejpam-701	201	16	c3×	c3×	NOUN
ejpam-701	201	17	u	u	NOUN
ejpam-701	201	18	→	→	SYM
ejpam-701	201	19	c	c	X
ejpam-701	201	20	that	that	PRON
ejpam-701	201	21	satisfy	satisfy	VERB
ejpam-701	201	22	the	the	DET
ejpam-701	201	23	admissibility	admissibility	NOUN
ejpam-701	201	24	condition	condition	NOUN
ejpam-701	201	25	ϕ(u	ϕ(u	PROPN
ejpam-701	201	26	,	,	PUNCT
ejpam-701	201	27	v	v	NOUN
ejpam-701	201	28	,	,	PUNCT
ejpam-701	201	29	w	w	NOUN
ejpam-701	201	30	;	;	PUNCT
ejpam-701	201	31	z	z	X
ejpam-701	201	32	)	)	PUNCT
ejpam-701	201	33	/∈	/∈	PUNCT
ejpam-701	202	1	ω	ω	NUM
ejpam-701	202	2	whenever	whenever	SCONJ
ejpam-701	202	3	u	u	NOUN
ejpam-701	202	4	=	=	PROPN
ejpam-701	202	5	q(ζ	q(ζ	NOUN
ejpam-701	202	6	)	)	PUNCT
ejpam-701	202	7	,	,	PUNCT
ejpam-701	202	8	v	v	NOUN
ejpam-701	202	9	=	=	SYM
ejpam-701	202	10	1	1	NUM
ejpam-701	202	11	�	�	PROPN
ejpam-701	202	12	ℓ	ℓ	PROPN
ejpam-701	202	13	λ	λ	PROPN
ejpam-701	202	14	�	�	PROPN
ejpam-701	202	15	�	�	PROPN
ejpam-701	202	16	ℓ	ℓ	PROPN
ejpam-701	202	17	λ	λ	PROPN
ejpam-701	202	18	�	�	PROPN
ejpam-701	202	19	q(ζ	q(ζ	PROPN
ejpam-701	202	20	)	)	PUNCT
ejpam-701	203	1	+	+	CCONJ
ejpam-701	204	1	kζq	kζq	NOUN
ejpam-701	204	2	′	′	NUM
ejpam-701	204	3	(	(	PUNCT
ejpam-701	204	4	ζ	ζ	NOUN
ejpam-701	204	5	)	)	PUNCT
ejpam-701	204	6	q(ζ	q(ζ	NOUN
ejpam-701	204	7	)	)	PUNCT
ejpam-701	204	8	!	!	PUNCT
ejpam-701	205	1	(	(	PUNCT
ejpam-701	205	2	q(ζ	q(ζ	NOUN
ejpam-701	205	3	)	)	PUNCT
ejpam-701	205	4	6=	6=	ADP
ejpam-701	205	5	0	0	NUM
ejpam-701	205	6	)	)	PUNCT
ejpam-701	205	7	,	,	PUNCT
ejpam-701	205	8	re	re	X
ejpam-701	205	9	(	(	PUNCT
ejpam-701	205	10	�	�	PROPN
ejpam-701	205	11	ℓ	ℓ	PROPN
ejpam-701	205	12	λ	λ	PROPN
ejpam-701	205	13	�	�	PROPN
ejpam-701	205	14	v(w−	v(w−	PROPN
ejpam-701	205	15	v	v	NOUN
ejpam-701	205	16	)	)	PUNCT
ejpam-701	205	17	v	v	ADP
ejpam-701	205	18	−	−	PROPN
ejpam-701	205	19	u	u	NOUN
ejpam-701	205	20	−	−	PROPN
ejpam-701	205	21	�	�	PROPN
ejpam-701	205	22	ℓ	ℓ	PROPN
ejpam-701	205	23	λ	λ	PROPN
ejpam-701	205	24	�	�	PROPN
ejpam-701	205	25	(	(	PUNCT
ejpam-701	205	26	2u−	2u−	PROPN
ejpam-701	205	27	v	v	NOUN
ejpam-701	205	28	)	)	PUNCT
ejpam-701	205	29	)	)	PUNCT
ejpam-701	205	30	≥	≥	PROPN
ejpam-701	206	1	kre	kre	PROPN
ejpam-701	206	2	(	(	PUNCT
ejpam-701	206	3	1	1	NUM
ejpam-701	206	4	+	+	NUM
ejpam-701	206	5	ζq	ζq	NOUN
ejpam-701	206	6	′′	′′	PROPN
ejpam-701	206	7	(	(	PUNCT
ejpam-701	206	8	ζ	ζ	NOUN
ejpam-701	206	9	)	)	PUNCT
ejpam-701	206	10	q	q	NOUN
ejpam-701	207	1	′	′	NUM
ejpam-701	207	2	(	(	PUNCT
ejpam-701	207	3	ζ	ζ	NOUN
ejpam-701	207	4	)	)	PUNCT
ejpam-701	207	5	)	)	PUNCT
ejpam-701	207	6	,	,	PUNCT
ejpam-701	207	7	where	where	SCONJ
ejpam-701	207	8	z	z	PROPN
ejpam-701	207	9	∈	∈	PROPN
ejpam-701	207	10	u	u	NOUN
ejpam-701	207	11	,	,	PUNCT
ejpam-701	207	12	ζ	ζ	PROPN
ejpam-701	207	13	∈	∈	PROPN
ejpam-701	207	14	∂	∂	NOUN
ejpam-701	207	15	u\e(q	u\e(q	ADJ
ejpam-701	207	16	)	)	PUNCT
ejpam-701	207	17	and	and	CCONJ
ejpam-701	207	18	k	k	PROPN
ejpam-701	207	19	≥	≥	NUM
ejpam-701	207	20	1	1	NUM
ejpam-701	207	21	.	.	PUNCT
ejpam-701	207	22	theorem	theorem	NOUN
ejpam-701	207	23	5	5	NUM
ejpam-701	207	24	.	.	PUNCT
ejpam-701	208	1	let	let	VERB
ejpam-701	208	2	ϕ	ϕ	PROPN
ejpam-701	208	3	∈	∈	PROPN
ejpam-701	208	4	φh,1[ω	φh,1[ω	NOUN
ejpam-701	208	5	,	,	PUNCT
ejpam-701	208	6	q	q	NOUN
ejpam-701	208	7	]	]	X
ejpam-701	208	8	.	.	PUNCT
ejpam-701	209	1	if	if	SCONJ
ejpam-701	209	2	f	f	PROPN
ejpam-701	209	3	(	(	PUNCT
ejpam-701	209	4	z	z	NOUN
ejpam-701	209	5	)	)	PUNCT
ejpam-701	209	6	∈	∈	PROPN
ejpam-701	209	7	∑	∑	PUNCT
ejpam-701	209	8	(	(	PUNCT
ejpam-701	209	9	p	p	NOUN
ejpam-701	209	10	)	)	PUNCT
ejpam-701	209	11	satisfies	satisfie	NOUN
ejpam-701	209	12	(	(	PUNCT
ejpam-701	209	13	ϕ	ϕ	X
ejpam-701	209	14	im+1	im+1	PROPN
ejpam-701	209	15	p	p	X
ejpam-701	209	16	(	(	PUNCT
ejpam-701	209	17	λ,ℓ	λ,ℓ	NOUN
ejpam-701	209	18	)	)	PUNCT
ejpam-701	209	19	f	f	NOUN
ejpam-701	209	20	(	(	PUNCT
ejpam-701	209	21	z	z	X
ejpam-701	209	22	)	)	PUNCT
ejpam-701	210	1	i	i	PRON
ejpam-701	210	2	m	m	VERB
ejpam-701	210	3	p	p	X
ejpam-701	210	4	(	(	PUNCT
ejpam-701	210	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	210	6	)	)	PUNCT
ejpam-701	210	7	f	f	NOUN
ejpam-701	210	8	(	(	PUNCT
ejpam-701	210	9	z	z	NOUN
ejpam-701	210	10	)	)	PUNCT
ejpam-701	210	11	,	,	PUNCT
ejpam-701	210	12	im+2	im+2	PROPN
ejpam-701	210	13	p	p	NOUN
ejpam-701	210	14	(	(	PUNCT
ejpam-701	210	15	λ,ℓ	λ,ℓ	NOUN
ejpam-701	210	16	)	)	PUNCT
ejpam-701	210	17	f	f	NOUN
ejpam-701	210	18	(	(	PUNCT
ejpam-701	210	19	z	z	NOUN
ejpam-701	210	20	)	)	PUNCT
ejpam-701	210	21	im+1	im+1	PROPN
ejpam-701	210	22	p	p	X
ejpam-701	210	23	(	(	PUNCT
ejpam-701	210	24	λ,ℓ	λ,ℓ	NOUN
ejpam-701	210	25	)	)	PUNCT
ejpam-701	210	26	f	f	NOUN
ejpam-701	210	27	(	(	PUNCT
ejpam-701	210	28	z	z	NOUN
ejpam-701	210	29	)	)	PUNCT
ejpam-701	210	30	,	,	PUNCT
ejpam-701	210	31	im+3	im+3	X
ejpam-701	210	32	p	p	X
ejpam-701	210	33	(	(	PUNCT
ejpam-701	210	34	λ,ℓ	λ,ℓ	NOUN
ejpam-701	210	35	)	)	PUNCT
ejpam-701	210	36	f	f	NOUN
ejpam-701	210	37	(	(	PUNCT
ejpam-701	210	38	z	z	NOUN
ejpam-701	210	39	)	)	PUNCT
ejpam-701	210	40	im+2	im+2	PROPN
ejpam-701	210	41	p	p	NOUN
ejpam-701	210	42	(	(	PUNCT
ejpam-701	210	43	λ,ℓ	λ,ℓ	NOUN
ejpam-701	210	44	)	)	PUNCT
ejpam-701	210	45	f	f	NOUN
ejpam-701	210	46	(	(	PUNCT
ejpam-701	210	47	z	z	NOUN
ejpam-701	210	48	)	)	PUNCT
ejpam-701	210	49	;	;	PUNCT
ejpam-701	211	1	z	z	X
ejpam-701	211	2	!	!	PUNCT
ejpam-701	211	3	:	:	PUNCT
ejpam-701	212	1	z	z	X
ejpam-701	212	2	∈	∈	PROPN
ejpam-701	212	3	u	u	PROPN
ejpam-701	212	4	)	)	PUNCT
ejpam-701	212	5	⊂	⊂	PROPN
ejpam-701	212	6	ω	ω	PROPN
ejpam-701	212	7	,	,	PUNCT
ejpam-701	212	8	(	(	PUNCT
ejpam-701	212	9	20	20	NUM
ejpam-701	212	10	)	)	PUNCT
ejpam-701	212	11	then	then	ADV
ejpam-701	212	12	im+1	im+1	PRON
ejpam-701	212	13	p	p	X
ejpam-701	212	14	(	(	PUNCT
ejpam-701	212	15	λ,ℓ	λ,ℓ	NOUN
ejpam-701	212	16	)	)	PUNCT
ejpam-701	212	17	f	f	NOUN
ejpam-701	212	18	(	(	PUNCT
ejpam-701	212	19	z	z	X
ejpam-701	212	20	)	)	PUNCT
ejpam-701	212	21	i	i	PRON
ejpam-701	212	22	m	m	VERB
ejpam-701	212	23	p	p	X
ejpam-701	212	24	(	(	PUNCT
ejpam-701	212	25	λ,ℓ	λ,ℓ	NOUN
ejpam-701	212	26	)	)	PUNCT
ejpam-701	212	27	f	f	NOUN
ejpam-701	212	28	(	(	PUNCT
ejpam-701	212	29	z	z	NOUN
ejpam-701	212	30	)	)	PUNCT
ejpam-701	212	31	≺	≺	NOUN
ejpam-701	212	32	q(z	q(z	PROPN
ejpam-701	212	33	)	)	PUNCT
ejpam-701	212	34	.	.	PUNCT
ejpam-701	213	1	r.	r.	PROPN
ejpam-701	213	2	el	el	PROPN
ejpam-701	213	3	-	-	PUNCT
ejpam-701	213	4	ashwah	ashwah	NOUN
ejpam-701	213	5	,	,	PUNCT
ejpam-701	213	6	m.	m.	NOUN
ejpam-701	213	7	aouf	aouf	PROPN
ejpam-701	213	8	/	/	SYM
ejpam-701	213	9	eur	eur	PROPN
ejpam-701	213	10	.	.	PUNCT
ejpam-701	214	1	j.	j.	PROPN
ejpam-701	214	2	pure	pure	PROPN
ejpam-701	214	3	appl	appl	PROPN
ejpam-701	214	4	.	.	PROPN
ejpam-701	214	5	math	math	PROPN
ejpam-701	214	6	,	,	PUNCT
ejpam-701	214	7	3	3	NUM
ejpam-701	214	8	(	(	PUNCT
ejpam-701	214	9	2010	2010	NUM
ejpam-701	214	10	)	)	PUNCT
ejpam-701	214	11	,	,	PUNCT
ejpam-701	214	12	1070	1070	NUM
ejpam-701	214	13	-	-	SYM
ejpam-701	214	14	1085	1085	NUM
ejpam-701	214	15	1078	1078	NUM
ejpam-701	214	16	proof	proof	NOUN
ejpam-701	214	17	.	.	PUNCT
ejpam-701	215	1	define	define	VERB
ejpam-701	215	2	an	an	DET
ejpam-701	215	3	analytic	analytic	ADJ
ejpam-701	215	4	function	function	NOUN
ejpam-701	215	5	p(z	p(z	NOUN
ejpam-701	215	6	)	)	PUNCT
ejpam-701	215	7	in	in	ADP
ejpam-701	215	8	u	u	NOUN
ejpam-701	215	9	by	by	ADP
ejpam-701	215	10	p(z	p(z	NOUN
ejpam-701	215	11	)	)	PUNCT
ejpam-701	216	1	=	=	PUNCT
ejpam-701	216	2	im+1	im+1	X
ejpam-701	216	3	p	p	X
ejpam-701	216	4	(	(	PUNCT
ejpam-701	216	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	216	6	)	)	PUNCT
ejpam-701	216	7	f	f	NOUN
ejpam-701	216	8	(	(	PUNCT
ejpam-701	216	9	z	z	X
ejpam-701	216	10	)	)	PUNCT
ejpam-701	216	11	i	i	PRON
ejpam-701	216	12	m	m	VERB
ejpam-701	216	13	p	p	X
ejpam-701	216	14	(	(	PUNCT
ejpam-701	216	15	λ,ℓ	λ,ℓ	NOUN
ejpam-701	216	16	)	)	PUNCT
ejpam-701	216	17	f	f	NOUN
ejpam-701	216	18	(	(	PUNCT
ejpam-701	216	19	z	z	NOUN
ejpam-701	216	20	)	)	PUNCT
ejpam-701	216	21	.	.	PUNCT
ejpam-701	217	1	(	(	PUNCT
ejpam-701	217	2	21	21	NUM
ejpam-701	217	3	)	)	PUNCT
ejpam-701	217	4	by	by	ADP
ejpam-701	217	5	making	make	VERB
ejpam-701	217	6	use	use	NOUN
ejpam-701	217	7	of	of	ADP
ejpam-701	217	8	(	(	PUNCT
ejpam-701	217	9	6	6	NUM
ejpam-701	217	10	)	)	PUNCT
ejpam-701	217	11	and	and	CCONJ
ejpam-701	217	12	(	(	PUNCT
ejpam-701	217	13	21	21	NUM
ejpam-701	217	14	)	)	PUNCT
ejpam-701	217	15	,	,	PUNCT
ejpam-701	217	16	we	we	PRON
ejpam-701	217	17	obtain	obtain	VERB
ejpam-701	217	18	im+2	im+2	PRON
ejpam-701	217	19	p	p	NOUN
ejpam-701	217	20	(	(	PUNCT
ejpam-701	217	21	λ,ℓ	λ,ℓ	NOUN
ejpam-701	217	22	)	)	PUNCT
ejpam-701	217	23	f	f	NOUN
ejpam-701	217	24	(	(	PUNCT
ejpam-701	217	25	z	z	NOUN
ejpam-701	217	26	)	)	PUNCT
ejpam-701	217	27	im+1	im+1	PROPN
ejpam-701	217	28	p	p	X
ejpam-701	217	29	(	(	PUNCT
ejpam-701	217	30	λ,ℓ	λ,ℓ	NOUN
ejpam-701	217	31	)	)	PUNCT
ejpam-701	217	32	f	f	NOUN
ejpam-701	217	33	(	(	PUNCT
ejpam-701	217	34	z	z	NOUN
ejpam-701	217	35	)	)	PUNCT
ejpam-701	217	36	=	=	PUNCT
ejpam-701	218	1	p(z	p(z	NOUN
ejpam-701	218	2	)	)	PUNCT
ejpam-701	219	1	+	+	CCONJ
ejpam-701	219	2	1	1	NUM
ejpam-701	219	3	�	�	PROPN
ejpam-701	219	4	ℓ	ℓ	PROPN
ejpam-701	219	5	λ	λ	PROPN
ejpam-701	219	6	�	�	PROPN
ejpam-701	219	7			PROPN
ejpam-701	219	8			NOUN
ejpam-701	219	9	zp	zp	NOUN
ejpam-701	220	1	′	′	NUM
ejpam-701	220	2	(	(	PUNCT
ejpam-701	220	3	z	z	NOUN
ejpam-701	220	4	)	)	PUNCT
ejpam-701	220	5	p(z	p(z	NOUN
ejpam-701	220	6	)	)	PUNCT
ejpam-701	220	7			PROPN
ejpam-701	220	8			PROPN
ejpam-701	220	9	.	.	PUNCT
ejpam-701	221	1	(	(	PUNCT
ejpam-701	221	2	22	22	NUM
ejpam-701	221	3	)	)	PUNCT
ejpam-701	221	4	further	further	ADJ
ejpam-701	221	5	computations	computation	NOUN
ejpam-701	221	6	show	show	VERB
ejpam-701	221	7	that	that	SCONJ
ejpam-701	221	8	im+3	im+3	PRON
ejpam-701	221	9	p	p	X
ejpam-701	221	10	(	(	PUNCT
ejpam-701	221	11	λ,ℓ	λ,ℓ	NOUN
ejpam-701	221	12	)	)	PUNCT
ejpam-701	221	13	f	f	NOUN
ejpam-701	221	14	(	(	PUNCT
ejpam-701	221	15	z	z	NOUN
ejpam-701	221	16	)	)	PUNCT
ejpam-701	221	17	im+2	im+2	PROPN
ejpam-701	221	18	p	p	NOUN
ejpam-701	221	19	(	(	PUNCT
ejpam-701	221	20	λ,ℓ	λ,ℓ	NOUN
ejpam-701	221	21	)	)	PUNCT
ejpam-701	221	22	f	f	NOUN
ejpam-701	221	23	(	(	PUNCT
ejpam-701	221	24	z	z	NOUN
ejpam-701	221	25	)	)	PUNCT
ejpam-701	221	26	=	=	PUNCT
ejpam-701	221	27	p(z	p(z	NOUN
ejpam-701	221	28	)	)	PUNCT
ejpam-701	221	29	+	+	CCONJ
ejpam-701	221	30	1	1	NUM
ejpam-701	221	31	�	�	PROPN
ejpam-701	221	32	ℓ	ℓ	PROPN
ejpam-701	221	33	λ	λ	PROPN
ejpam-701	221	34	�	�	PROPN
ejpam-701	221	35			PROPN
ejpam-701	221	36			NOUN
ejpam-701	222	1	zp	zp	NOUN
ejpam-701	222	2	′	′	NUM
ejpam-701	222	3	(	(	PUNCT
ejpam-701	222	4	z	z	NOUN
ejpam-701	222	5	)	)	PUNCT
ejpam-701	222	6	p(z	p(z	NOUN
ejpam-701	222	7	)	)	PUNCT
ejpam-701	223	1	+	+	CCONJ
ejpam-701	223	2	�	�	PROPN
ejpam-701	223	3	ℓ	ℓ	PROPN
ejpam-701	223	4	λ	λ	PROPN
ejpam-701	223	5	�	�	PROPN
ejpam-701	224	1	zp	zp	PROPN
ejpam-701	224	2	′	′	NUM
ejpam-701	224	3	(	(	PUNCT
ejpam-701	224	4	z	z	NOUN
ejpam-701	224	5	)	)	PUNCT
ejpam-701	225	1	+	+	NOUN
ejpam-701	225	2	zp	zp	NOUN
ejpam-701	225	3	′	′	NUM
ejpam-701	225	4	(	(	PUNCT
ejpam-701	225	5	z	z	NOUN
ejpam-701	225	6	)	)	PUNCT
ejpam-701	225	7	p(z	p(z	NOUN
ejpam-701	225	8	)	)	PUNCT
ejpam-701	225	9	−	−	PROPN
ejpam-701	225	10	�	�	PROPN
ejpam-701	226	1	zp	zp	NOUN
ejpam-701	226	2	′	′	NUM
ejpam-701	226	3	(	(	PUNCT
ejpam-701	226	4	z	z	NOUN
ejpam-701	226	5	)	)	PUNCT
ejpam-701	226	6	p(z	p(z	NOUN
ejpam-701	226	7	)	)	PUNCT
ejpam-701	226	8	�	�	NOUN
ejpam-701	226	9	2	2	NUM
ejpam-701	226	10	+	+	NOUN
ejpam-701	226	11	z2p	z2p	PUNCT
ejpam-701	226	12	′′	′′	PROPN
ejpam-701	226	13	(	(	PUNCT
ejpam-701	226	14	z	z	NOUN
ejpam-701	226	15	)	)	PUNCT
ejpam-701	226	16	p(z	p(z	NOUN
ejpam-701	226	17	)	)	PUNCT
ejpam-701	226	18	�	�	PROPN
ejpam-701	226	19	ℓ	ℓ	PROPN
ejpam-701	226	20	λ	λ	PROPN
ejpam-701	226	21	�	�	PROPN
ejpam-701	226	22	p(z	p(z	PROPN
ejpam-701	226	23	)	)	PUNCT
ejpam-701	227	1	+	+	CCONJ
ejpam-701	228	1	zp	zp	NOUN
ejpam-701	228	2	′	′	NUM
ejpam-701	228	3	(	(	PUNCT
ejpam-701	228	4	z	z	NOUN
ejpam-701	228	5	)	)	PUNCT
ejpam-701	228	6	p(z	p(z	NOUN
ejpam-701	228	7	)	)	PUNCT
ejpam-701	228	8			PROPN
ejpam-701	229	1			PROPN
ejpam-701	229	2			PROPN
ejpam-701	229	3			PROPN
ejpam-701	229	4			PROPN
ejpam-701	229	5	.	.	PUNCT
ejpam-701	230	1	(	(	PUNCT
ejpam-701	230	2	23	23	NUM
ejpam-701	230	3	)	)	PUNCT
ejpam-701	230	4	define	define	VERB
ejpam-701	230	5	the	the	DET
ejpam-701	230	6	transformations	transformation	NOUN
ejpam-701	230	7	from	from	ADP
ejpam-701	230	8	c3	c3	PROPN
ejpam-701	230	9	to	to	ADP
ejpam-701	230	10	c	c	NOUN
ejpam-701	230	11	by	by	ADP
ejpam-701	230	12	u	u	NOUN
ejpam-701	230	13	=	=	SYM
ejpam-701	230	14	r	r	PROPN
ejpam-701	230	15	,	,	PUNCT
ejpam-701	230	16	v	v	NOUN
ejpam-701	230	17	=	=	SYM
ejpam-701	231	1	r	r	NOUN
ejpam-701	231	2	+	+	SYM
ejpam-701	231	3	1	1	NUM
ejpam-701	231	4	�	�	PROPN
ejpam-701	231	5	ℓ	ℓ	PROPN
ejpam-701	231	6	λ	λ	PROPN
ejpam-701	231	7	�	�	PROPN
ejpam-701	231	8	�	�	PROPN
ejpam-701	231	9	s	s	PART
ejpam-701	231	10	r	r	NOUN
ejpam-701	231	11	�	�	PROPN
ejpam-701	231	12	,	,	PUNCT
ejpam-701	231	13	w	w	PROPN
ejpam-701	231	14	=	=	SYM
ejpam-701	232	1	r	r	NOUN
ejpam-701	232	2	+	+	SYM
ejpam-701	232	3	1	1	NUM
ejpam-701	232	4	�	�	PROPN
ejpam-701	232	5	ℓ	ℓ	PROPN
ejpam-701	232	6	λ	λ	PROPN
ejpam-701	232	7	�	�	PROPN
ejpam-701	232	8			PROPN
ejpam-701	232	9			NOUN
ejpam-701	232	10			X
ejpam-701	232	11	s	s	PART
ejpam-701	232	12	r	r	NOUN
ejpam-701	232	13	+	+	NUM
ejpam-701	232	14	�	�	PROPN
ejpam-701	232	15	ℓ	ℓ	PROPN
ejpam-701	232	16	λ	λ	PROPN
ejpam-701	232	17	�	�	PROPN
ejpam-701	232	18	s+	s+	ADP
ejpam-701	232	19	s	s	PART
ejpam-701	232	20	r	r	NOUN
ejpam-701	232	21	−	−	PROPN
ejpam-701	232	22	�	�	PROPN
ejpam-701	232	23	s	s	PART
ejpam-701	232	24	r	r	NOUN
ejpam-701	232	25	�	�	NOUN
ejpam-701	232	26	2	2	NUM
ejpam-701	232	27	+	+	SYM
ejpam-701	232	28	t	t	NOUN
ejpam-701	232	29	r	r	NOUN
ejpam-701	232	30	�	�	PROPN
ejpam-701	232	31	ℓ	ℓ	PROPN
ejpam-701	232	32	λ	λ	PROPN
ejpam-701	232	33	�	�	PROPN
ejpam-701	232	34	r	r	NOUN
ejpam-701	232	35	+	+	CCONJ
ejpam-701	232	36	s	s	NOUN
ejpam-701	232	37	r	r	NOUN
ejpam-701	232	38			PROPN
ejpam-701	232	39			PROPN
ejpam-701	232	40			PROPN
ejpam-701	232	41	.	.	PUNCT
ejpam-701	233	1	(	(	PUNCT
ejpam-701	233	2	24	24	NUM
ejpam-701	233	3	)	)	PUNCT
ejpam-701	233	4	let	let	VERB
ejpam-701	233	5	ψ(r	ψ(r	NOUN
ejpam-701	233	6	,	,	PUNCT
ejpam-701	233	7	s	s	X
ejpam-701	233	8	,	,	PUNCT
ejpam-701	233	9	t	t	PROPN
ejpam-701	233	10	;	;	PUNCT
ejpam-701	233	11	z	z	X
ejpam-701	233	12	)	)	PUNCT
ejpam-701	233	13	=	=	SYM
ejpam-701	233	14	ϕ(u	ϕ(u	PROPN
ejpam-701	233	15	,	,	PUNCT
ejpam-701	233	16	v	v	NOUN
ejpam-701	233	17	,	,	PUNCT
ejpam-701	233	18	w	w	NOUN
ejpam-701	233	19	;	;	PUNCT
ejpam-701	233	20	z	z	X
ejpam-701	233	21	)	)	PUNCT
ejpam-701	233	22	=	=	SYM
ejpam-701	233	23	ϕ	ϕ	NOUN
ejpam-701	233	24			NOUN
ejpam-701	233	25			NOUN
ejpam-701	233	26	r	r	NOUN
ejpam-701	233	27	,	,	PUNCT
ejpam-701	233	28	1	1	NUM
ejpam-701	233	29	�	�	PROPN
ejpam-701	233	30	ℓ	ℓ	PROPN
ejpam-701	233	31	λ	λ	PROPN
ejpam-701	233	32	�	�	PROPN
ejpam-701	233	33	�	�	PROPN
ejpam-701	233	34	�	�	PROPN
ejpam-701	233	35	ℓ	ℓ	PROPN
ejpam-701	233	36	λ	λ	PROPN
ejpam-701	233	37	�	�	PROPN
ejpam-701	233	38	r	r	NOUN
ejpam-701	233	39	+	+	CCONJ
ejpam-701	233	40	s	s	NOUN
ejpam-701	233	41	r	r	NOUN
ejpam-701	233	42	�	�	PROPN
ejpam-701	233	43	,	,	PUNCT
ejpam-701	233	44	1	1	NUM
ejpam-701	233	45	�	�	PROPN
ejpam-701	233	46	ℓ	ℓ	PROPN
ejpam-701	233	47	λ	λ	PROPN
ejpam-701	233	48	�	�	PROPN
ejpam-701	233	49			PROPN
ejpam-701	233	50			NOUN
ejpam-701	233	51			NUM
ejpam-701	233	52	�	�	PROPN
ejpam-701	233	53	ℓ	ℓ	PROPN
ejpam-701	233	54	λ	λ	PROPN
ejpam-701	233	55	�	�	PROPN
ejpam-701	233	56	r	r	NOUN
ejpam-701	233	57	+	+	CCONJ
ejpam-701	233	58	s	s	NOUN
ejpam-701	233	59	r	r	NOUN
ejpam-701	233	60	+	+	NUM
ejpam-701	233	61	�	�	PROPN
ejpam-701	233	62	ℓ	ℓ	PROPN
ejpam-701	233	63	λ	λ	PROPN
ejpam-701	233	64	�	�	PROPN
ejpam-701	233	65	s+	s+	ADP
ejpam-701	233	66	s	s	PART
ejpam-701	233	67	r	r	NOUN
ejpam-701	233	68	−	−	PROPN
ejpam-701	233	69	�	�	PROPN
ejpam-701	233	70	s	s	PART
ejpam-701	233	71	r	r	NOUN
ejpam-701	233	72	�	�	NOUN
ejpam-701	233	73	2	2	NUM
ejpam-701	233	74	+	+	SYM
ejpam-701	233	75	t	t	NOUN
ejpam-701	233	76	r	r	NOUN
ejpam-701	233	77	�	�	PROPN
ejpam-701	233	78	ℓ	ℓ	PROPN
ejpam-701	233	79	λ	λ	PROPN
ejpam-701	233	80	�	�	PROPN
ejpam-701	233	81	r	r	NOUN
ejpam-701	233	82	+	+	CCONJ
ejpam-701	233	83	s	s	NOUN
ejpam-701	233	84	r	r	NOUN
ejpam-701	233	85			PROPN
ejpam-701	233	86			PROPN
ejpam-701	233	87			PROPN
ejpam-701	233	88	;	;	PUNCT
ejpam-701	233	89	z	z	NOUN
ejpam-701	233	90			PROPN
ejpam-701	233	91			VERB
ejpam-701	233	92			PUNCT
ejpam-701	233	93	.	.	PUNCT
ejpam-701	234	1	(	(	PUNCT
ejpam-701	234	2	25	25	NUM
ejpam-701	234	3	)	)	PUNCT
ejpam-701	234	4	using	use	VERB
ejpam-701	234	5	equations	equation	NOUN
ejpam-701	234	6	(	(	PUNCT
ejpam-701	234	7	21	21	NUM
ejpam-701	234	8	)	)	PUNCT
ejpam-701	234	9	,	,	PUNCT
ejpam-701	234	10	(	(	PUNCT
ejpam-701	234	11	22	22	NUM
ejpam-701	234	12	)	)	PUNCT
ejpam-701	234	13	and	and	CCONJ
ejpam-701	234	14	(	(	PUNCT
ejpam-701	234	15	23	23	NUM
ejpam-701	234	16	)	)	PUNCT
ejpam-701	234	17	,	,	PUNCT
ejpam-701	234	18	from	from	ADP
ejpam-701	234	19	(	(	PUNCT
ejpam-701	234	20	25	25	NUM
ejpam-701	234	21	)	)	PUNCT
ejpam-701	234	22	,	,	PUNCT
ejpam-701	234	23	we	we	PRON
ejpam-701	234	24	obtain	obtain	VERB
ejpam-701	234	25	ψ(p(z	ψ(p(z	NOUN
ejpam-701	234	26	)	)	PUNCT
ejpam-701	234	27	,	,	PUNCT
ejpam-701	234	28	zp	zp	NOUN
ejpam-701	234	29	′	′	NUM
ejpam-701	234	30	(	(	PUNCT
ejpam-701	234	31	z	z	NOUN
ejpam-701	234	32	)	)	PUNCT
ejpam-701	234	33	,	,	PUNCT
ejpam-701	235	1	z2p	z2p	PROPN
ejpam-701	235	2	′′	′′	PROPN
ejpam-701	235	3	(	(	PUNCT
ejpam-701	235	4	z	z	PROPN
ejpam-701	235	5	)	)	PUNCT
ejpam-701	235	6	;	;	PUNCT
ejpam-701	235	7	z	z	X
ejpam-701	235	8	)	)	PUNCT
ejpam-701	235	9	=	=	SYM
ejpam-701	235	10	ϕ	ϕ	X
ejpam-701	235	11	im+1	im+1	X
ejpam-701	235	12	p	p	X
ejpam-701	235	13	(	(	PUNCT
ejpam-701	235	14	λ,ℓ	λ,ℓ	NOUN
ejpam-701	235	15	)	)	PUNCT
ejpam-701	235	16	f	f	NOUN
ejpam-701	235	17	(	(	PUNCT
ejpam-701	235	18	z	z	X
ejpam-701	235	19	)	)	PUNCT
ejpam-701	236	1	i	i	PRON
ejpam-701	236	2	m	m	VERB
ejpam-701	236	3	p	p	X
ejpam-701	236	4	(	(	PUNCT
ejpam-701	236	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	236	6	)	)	PUNCT
ejpam-701	236	7	f	f	NOUN
ejpam-701	236	8	(	(	PUNCT
ejpam-701	236	9	z	z	NOUN
ejpam-701	236	10	)	)	PUNCT
ejpam-701	236	11	,	,	PUNCT
ejpam-701	236	12	im+2	im+2	PROPN
ejpam-701	236	13	p	p	NOUN
ejpam-701	236	14	(	(	PUNCT
ejpam-701	236	15	λ,ℓ	λ,ℓ	NOUN
ejpam-701	236	16	)	)	PUNCT
ejpam-701	236	17	f	f	NOUN
ejpam-701	236	18	(	(	PUNCT
ejpam-701	236	19	z	z	NOUN
ejpam-701	236	20	)	)	PUNCT
ejpam-701	236	21	im+1	im+1	PROPN
ejpam-701	236	22	p	p	X
ejpam-701	236	23	(	(	PUNCT
ejpam-701	236	24	λ,ℓ	λ,ℓ	NOUN
ejpam-701	236	25	)	)	PUNCT
ejpam-701	236	26	f	f	NOUN
ejpam-701	236	27	(	(	PUNCT
ejpam-701	236	28	z	z	NOUN
ejpam-701	236	29	)	)	PUNCT
ejpam-701	236	30	,	,	PUNCT
ejpam-701	236	31	im+3	im+3	X
ejpam-701	236	32	p	p	X
ejpam-701	236	33	(	(	PUNCT
ejpam-701	236	34	λ,ℓ	λ,ℓ	NOUN
ejpam-701	236	35	)	)	PUNCT
ejpam-701	236	36	f	f	NOUN
ejpam-701	236	37	(	(	PUNCT
ejpam-701	236	38	z	z	NOUN
ejpam-701	236	39	)	)	PUNCT
ejpam-701	236	40	im+2	im+2	PROPN
ejpam-701	236	41	p	p	NOUN
ejpam-701	236	42	(	(	PUNCT
ejpam-701	236	43	λ,ℓ	λ,ℓ	NOUN
ejpam-701	236	44	)	)	PUNCT
ejpam-701	236	45	f	f	NOUN
ejpam-701	236	46	(	(	PUNCT
ejpam-701	236	47	z	z	NOUN
ejpam-701	236	48	)	)	PUNCT
ejpam-701	236	49	;	;	PUNCT
ejpam-701	236	50	z	z	X
ejpam-701	236	51	!	!	PUNCT
ejpam-701	236	52	.	.	PUNCT
ejpam-701	237	1	(	(	PUNCT
ejpam-701	237	2	26	26	NUM
ejpam-701	237	3	)	)	PUNCT
ejpam-701	237	4	hence	hence	ADV
ejpam-701	237	5	(	(	PUNCT
ejpam-701	237	6	20	20	NUM
ejpam-701	237	7	)	)	PUNCT
ejpam-701	237	8	implies	imply	VERB
ejpam-701	237	9	ψ(p(z	ψ(p(z	VERB
ejpam-701	237	10	)	)	PUNCT
ejpam-701	237	11	,	,	PUNCT
ejpam-701	237	12	zp	zp	NOUN
ejpam-701	237	13	′	′	NUM
ejpam-701	237	14	(	(	PUNCT
ejpam-701	237	15	z	z	NOUN
ejpam-701	237	16	)	)	PUNCT
ejpam-701	237	17	,	,	PUNCT
ejpam-701	238	1	z2p	z2p	PROPN
ejpam-701	238	2	′′	′′	PROPN
ejpam-701	238	3	(	(	PUNCT
ejpam-701	238	4	z	z	PROPN
ejpam-701	238	5	)	)	PUNCT
ejpam-701	238	6	;	;	PUNCT
ejpam-701	238	7	z	z	X
ejpam-701	238	8	)	)	PUNCT
ejpam-701	238	9	∈	∈	PROPN
ejpam-701	238	10	ω	ω	PROPN
ejpam-701	238	11	.	.	PUNCT
ejpam-701	239	1	the	the	DET
ejpam-701	239	2	proof	proof	NOUN
ejpam-701	239	3	is	be	AUX
ejpam-701	239	4	completed	complete	VERB
ejpam-701	239	5	if	if	SCONJ
ejpam-701	239	6	it	it	PRON
ejpam-701	239	7	can	can	AUX
ejpam-701	239	8	be	be	AUX
ejpam-701	239	9	shown	show	VERB
ejpam-701	239	10	that	that	SCONJ
ejpam-701	239	11	the	the	DET
ejpam-701	239	12	admissibility	admissibility	NOUN
ejpam-701	239	13	condition	condition	NOUN
ejpam-701	239	14	for	for	ADP
ejpam-701	239	15	ϕ	ϕ	PROPN
ejpam-701	239	16	∈	∈	PROPN
ejpam-701	239	17	φh,1[ω	φh,1[ω	NOUN
ejpam-701	239	18	,	,	PUNCT
ejpam-701	239	19	q	q	X
ejpam-701	239	20	]	]	X
ejpam-701	239	21	is	be	AUX
ejpam-701	239	22	equivalent	equivalent	ADJ
ejpam-701	239	23	to	to	ADP
ejpam-701	239	24	the	the	DET
ejpam-701	239	25	admissibility	admissibility	NOUN
ejpam-701	239	26	condition	condition	NOUN
ejpam-701	239	27	for	for	ADP
ejpam-701	239	28	ψ	ψ	PRON
ejpam-701	239	29	as	as	SCONJ
ejpam-701	239	30	given	give	VERB
ejpam-701	239	31	in	in	ADP
ejpam-701	239	32	definition	definition	NOUN
ejpam-701	239	33	1	1	NUM
ejpam-701	239	34	.	.	PUNCT
ejpam-701	240	1	note	note	VERB
ejpam-701	240	2	that	that	SCONJ
ejpam-701	240	3	t	t	PROPN
ejpam-701	240	4	s	s	PART
ejpam-701	240	5	+	+	NUM
ejpam-701	240	6	1=	1=	X
ejpam-701	240	7	�	�	PROPN
ejpam-701	240	8	ℓ	ℓ	PROPN
ejpam-701	240	9	λ	λ	PROPN
ejpam-701	240	10	�	�	PROPN
ejpam-701	240	11	v(w−	v(w−	PROPN
ejpam-701	240	12	v	v	NOUN
ejpam-701	240	13	)	)	PUNCT
ejpam-701	240	14	v	v	ADP
ejpam-701	240	15	−	−	PROPN
ejpam-701	240	16	u	u	NOUN
ejpam-701	240	17	−	−	PROPN
ejpam-701	240	18	�	�	PROPN
ejpam-701	240	19	ℓ	ℓ	PROPN
ejpam-701	240	20	λ	λ	PROPN
ejpam-701	240	21	�	�	PROPN
ejpam-701	240	22	(	(	PUNCT
ejpam-701	240	23	2u−	2u−	PROPN
ejpam-701	240	24	v	v	NOUN
ejpam-701	240	25	)	)	PUNCT
ejpam-701	240	26	,	,	PUNCT
ejpam-701	240	27	and	and	CCONJ
ejpam-701	240	28	hence	hence	ADV
ejpam-701	240	29	ψ	ψ	ADP
ejpam-701	240	30	∈ψ[ω	∈ψ[ω	PROPN
ejpam-701	240	31	,	,	PUNCT
ejpam-701	240	32	q	q	X
ejpam-701	240	33	]	]	X
ejpam-701	240	34	.	.	PUNCT
ejpam-701	241	1	by	by	ADP
ejpam-701	241	2	lemma	lemma	PROPN
ejpam-701	241	3	1	1	NUM
ejpam-701	241	4	,	,	PUNCT
ejpam-701	241	5	p(z	p(z	NOUN
ejpam-701	241	6	)	)	PUNCT
ejpam-701	241	7	≺	≺	NOUN
ejpam-701	241	8	q(z	q(z	PROPN
ejpam-701	241	9	)	)	PUNCT
ejpam-701	241	10	or	or	CCONJ
ejpam-701	241	11	im+1	im+1	PRON
ejpam-701	241	12	p	p	X
ejpam-701	241	13	(	(	PUNCT
ejpam-701	241	14	λ,ℓ	λ,ℓ	NOUN
ejpam-701	241	15	)	)	PUNCT
ejpam-701	241	16	f	f	NOUN
ejpam-701	241	17	(	(	PUNCT
ejpam-701	241	18	z	z	X
ejpam-701	241	19	)	)	PUNCT
ejpam-701	242	1	i	i	PRON
ejpam-701	242	2	m	m	VERB
ejpam-701	242	3	p	p	X
ejpam-701	242	4	(	(	PUNCT
ejpam-701	242	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	242	6	)	)	PUNCT
ejpam-701	242	7	f	f	NOUN
ejpam-701	242	8	(	(	PUNCT
ejpam-701	242	9	z	z	NOUN
ejpam-701	242	10	)	)	PUNCT
ejpam-701	242	11	≺	≺	NOUN
ejpam-701	242	12	q(z	q(z	PROPN
ejpam-701	242	13	)	)	PUNCT
ejpam-701	242	14	.	.	PUNCT
ejpam-701	243	1	r.	r.	PROPN
ejpam-701	243	2	el	el	PROPN
ejpam-701	243	3	-	-	PUNCT
ejpam-701	243	4	ashwah	ashwah	NOUN
ejpam-701	243	5	,	,	PUNCT
ejpam-701	243	6	m.	m.	NOUN
ejpam-701	243	7	aouf	aouf	PROPN
ejpam-701	243	8	/	/	SYM
ejpam-701	243	9	eur	eur	PROPN
ejpam-701	243	10	.	.	PUNCT
ejpam-701	244	1	j.	j.	PROPN
ejpam-701	244	2	pure	pure	PROPN
ejpam-701	244	3	appl	appl	PROPN
ejpam-701	244	4	.	.	PROPN
ejpam-701	244	5	math	math	PROPN
ejpam-701	244	6	,	,	PUNCT
ejpam-701	244	7	3	3	NUM
ejpam-701	244	8	(	(	PUNCT
ejpam-701	244	9	2010	2010	NUM
ejpam-701	244	10	)	)	PUNCT
ejpam-701	244	11	,	,	PUNCT
ejpam-701	244	12	1070	1070	NUM
ejpam-701	244	13	-	-	SYM
ejpam-701	244	14	1085	1085	NUM
ejpam-701	244	15	1079	1079	NUM
ejpam-701	244	16	if	if	SCONJ
ejpam-701	244	17	ω	ω	PROPN
ejpam-701	244	18	6=	6=	PROPN
ejpam-701	244	19	c	c	PROPN
ejpam-701	244	20	is	be	AUX
ejpam-701	244	21	a	a	DET
ejpam-701	244	22	simply	simply	ADV
ejpam-701	244	23	connected	connected	ADJ
ejpam-701	244	24	domain	domain	NOUN
ejpam-701	244	25	,	,	PUNCT
ejpam-701	244	26	with	with	ADP
ejpam-701	244	27	ω	ω	PROPN
ejpam-701	244	28	=	=	SYM
ejpam-701	244	29	h(u	h(u	PROPN
ejpam-701	244	30	)	)	PUNCT
ejpam-701	244	31	,	,	PUNCT
ejpam-701	244	32	for	for	ADP
ejpam-701	244	33	some	some	DET
ejpam-701	244	34	conformal	conformal	ADJ
ejpam-701	244	35	mapping	map	VERB
ejpam-701	244	36	h(z	h(z	NOUN
ejpam-701	244	37	)	)	PUNCT
ejpam-701	244	38	of	of	ADP
ejpam-701	244	39	u	u	PRON
ejpam-701	244	40	onto	onto	ADP
ejpam-701	244	41	ω	ω	NUM
ejpam-701	244	42	.	.	PUNCT
ejpam-701	245	1	in	in	ADP
ejpam-701	245	2	this	this	DET
ejpam-701	245	3	case	case	NOUN
ejpam-701	245	4	φh,1[h(u),q	φh,1[h(u),q	X
ejpam-701	245	5	]	]	PUNCT
ejpam-701	245	6	is	be	AUX
ejpam-701	245	7	written	write	VERB
ejpam-701	245	8	as	as	ADP
ejpam-701	245	9	φh,1[h	φh,1[h	ADP
ejpam-701	245	10	,	,	PUNCT
ejpam-701	245	11	q	q	X
ejpam-701	245	12	]	]	X
ejpam-701	245	13	.	.	PUNCT
ejpam-701	246	1	the	the	DET
ejpam-701	246	2	following	follow	VERB
ejpam-701	246	3	theorem	theorem	NOUN
ejpam-701	246	4	is	be	AUX
ejpam-701	246	5	an	an	DET
ejpam-701	246	6	immediate	immediate	ADJ
ejpam-701	246	7	consequence	consequence	NOUN
ejpam-701	246	8	of	of	ADP
ejpam-701	246	9	theorem	theorem	NOUN
ejpam-701	246	10	5	5	NUM
ejpam-701	246	11	.	.	PUNCT
ejpam-701	246	12	theorem	theorem	NOUN
ejpam-701	246	13	6	6	NUM
ejpam-701	246	14	.	.	PUNCT
ejpam-701	247	1	let	let	VERB
ejpam-701	247	2	ϕ	ϕ	PROPN
ejpam-701	247	3	∈	∈	PROPN
ejpam-701	247	4	φh,1[h	φh,1[h	ADP
ejpam-701	247	5	,	,	PUNCT
ejpam-701	247	6	q	q	X
ejpam-701	247	7	]	]	X
ejpam-701	247	8	with	with	ADP
ejpam-701	247	9	q(0	q(0	PROPN
ejpam-701	247	10	)	)	PUNCT
ejpam-701	247	11	=	=	NOUN
ejpam-701	248	1	1	1	X
ejpam-701	248	2	.	.	PUNCT
ejpam-701	249	1	if	if	SCONJ
ejpam-701	249	2	f	f	PROPN
ejpam-701	249	3	(	(	PUNCT
ejpam-701	249	4	z	z	NOUN
ejpam-701	249	5	)	)	PUNCT
ejpam-701	249	6	∈	∈	PROPN
ejpam-701	249	7	∑	∑	PUNCT
ejpam-701	249	8	(	(	PUNCT
ejpam-701	249	9	p	p	NOUN
ejpam-701	249	10	)	)	PUNCT
ejpam-701	249	11	satisfies	satisfy	VERB
ejpam-701	249	12	ϕ	ϕ	PROPN
ejpam-701	249	13	im+1	im+1	X
ejpam-701	249	14	p	p	X
ejpam-701	249	15	(	(	PUNCT
ejpam-701	249	16	λ,ℓ	λ,ℓ	NOUN
ejpam-701	249	17	)	)	PUNCT
ejpam-701	249	18	f	f	NOUN
ejpam-701	249	19	(	(	PUNCT
ejpam-701	249	20	z	z	X
ejpam-701	249	21	)	)	PUNCT
ejpam-701	250	1	i	i	PRON
ejpam-701	250	2	m	m	VERB
ejpam-701	250	3	p	p	X
ejpam-701	250	4	(	(	PUNCT
ejpam-701	250	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	250	6	)	)	PUNCT
ejpam-701	250	7	f	f	NOUN
ejpam-701	250	8	(	(	PUNCT
ejpam-701	250	9	z	z	NOUN
ejpam-701	250	10	)	)	PUNCT
ejpam-701	250	11	,	,	PUNCT
ejpam-701	250	12	im+2	im+2	PROPN
ejpam-701	250	13	p	p	NOUN
ejpam-701	250	14	(	(	PUNCT
ejpam-701	250	15	λ,ℓ	λ,ℓ	NOUN
ejpam-701	250	16	)	)	PUNCT
ejpam-701	250	17	f	f	NOUN
ejpam-701	250	18	(	(	PUNCT
ejpam-701	250	19	z	z	NOUN
ejpam-701	250	20	)	)	PUNCT
ejpam-701	250	21	im+1	im+1	PROPN
ejpam-701	250	22	p	p	X
ejpam-701	250	23	(	(	PUNCT
ejpam-701	250	24	λ,ℓ	λ,ℓ	NOUN
ejpam-701	250	25	)	)	PUNCT
ejpam-701	250	26	f	f	NOUN
ejpam-701	250	27	(	(	PUNCT
ejpam-701	250	28	z	z	NOUN
ejpam-701	250	29	)	)	PUNCT
ejpam-701	250	30	,	,	PUNCT
ejpam-701	250	31	im+3	im+3	X
ejpam-701	250	32	p	p	X
ejpam-701	250	33	(	(	PUNCT
ejpam-701	250	34	λ,ℓ	λ,ℓ	NOUN
ejpam-701	250	35	)	)	PUNCT
ejpam-701	250	36	f	f	NOUN
ejpam-701	250	37	(	(	PUNCT
ejpam-701	250	38	z	z	NOUN
ejpam-701	250	39	)	)	PUNCT
ejpam-701	250	40	im+2	im+2	PROPN
ejpam-701	250	41	p	p	NOUN
ejpam-701	250	42	(	(	PUNCT
ejpam-701	250	43	λ,ℓ	λ,ℓ	NOUN
ejpam-701	250	44	)	)	PUNCT
ejpam-701	250	45	f	f	NOUN
ejpam-701	250	46	(	(	PUNCT
ejpam-701	250	47	z	z	NOUN
ejpam-701	250	48	)	)	PUNCT
ejpam-701	250	49	;	;	PUNCT
ejpam-701	251	1	z	z	X
ejpam-701	251	2	!	!	PUNCT
ejpam-701	252	1	≺	≺	NOUN
ejpam-701	252	2	h(z	h(z	NOUN
ejpam-701	252	3	)	)	PUNCT
ejpam-701	252	4	,	,	PUNCT
ejpam-701	252	5	(	(	PUNCT
ejpam-701	252	6	27	27	NUM
ejpam-701	252	7	)	)	PUNCT
ejpam-701	252	8	then	then	ADV
ejpam-701	252	9	im+1	im+1	PRON
ejpam-701	252	10	p	p	X
ejpam-701	252	11	(	(	PUNCT
ejpam-701	252	12	λ,ℓ	λ,ℓ	NOUN
ejpam-701	252	13	)	)	PUNCT
ejpam-701	252	14	f	f	NOUN
ejpam-701	252	15	(	(	PUNCT
ejpam-701	252	16	z	z	X
ejpam-701	252	17	)	)	PUNCT
ejpam-701	252	18	i	i	PRON
ejpam-701	252	19	m	m	VERB
ejpam-701	252	20	p	p	X
ejpam-701	252	21	(	(	PUNCT
ejpam-701	252	22	λ,ℓ	λ,ℓ	NOUN
ejpam-701	252	23	)	)	PUNCT
ejpam-701	252	24	f	f	NOUN
ejpam-701	252	25	(	(	PUNCT
ejpam-701	252	26	z	z	NOUN
ejpam-701	252	27	)	)	PUNCT
ejpam-701	252	28	≺	≺	NOUN
ejpam-701	252	29	q(z	q(z	PROPN
ejpam-701	252	30	)	)	PUNCT
ejpam-701	252	31	.	.	PUNCT
ejpam-701	253	1	in	in	ADP
ejpam-701	253	2	the	the	DET
ejpam-701	253	3	particular	particular	ADJ
ejpam-701	253	4	case	case	NOUN
ejpam-701	253	5	q(z	q(z	PROPN
ejpam-701	253	6	)	)	PUNCT
ejpam-701	253	7	=	=	SYM
ejpam-701	253	8	1+mz	1+mz	NUM
ejpam-701	253	9	,	,	PUNCT
ejpam-701	253	10	m	m	VERB
ejpam-701	253	11	>	>	X
ejpam-701	253	12	0	0	NUM
ejpam-701	253	13	,	,	PUNCT
ejpam-701	253	14	the	the	DET
ejpam-701	253	15	class	class	NOUN
ejpam-701	253	16	of	of	ADP
ejpam-701	253	17	admissible	admissible	ADJ
ejpam-701	253	18	functions	function	NOUN
ejpam-701	253	19	φh,1[ω	φh,1[ω	VERB
ejpam-701	253	20	,	,	PUNCT
ejpam-701	253	21	q	q	X
ejpam-701	253	22	]	]	PUNCT
ejpam-701	253	23	becomes	become	VERB
ejpam-701	253	24	the	the	DET
ejpam-701	253	25	class	class	NOUN
ejpam-701	253	26	φh,1[ω	φh,1[ω	NOUN
ejpam-701	253	27	,	,	PUNCT
ejpam-701	253	28	m	m	PROPN
ejpam-701	253	29	]	]	PUNCT
ejpam-701	253	30	.	.	PUNCT
ejpam-701	254	1	definition	definition	NOUN
ejpam-701	254	2	6	6	NUM
ejpam-701	254	3	.	.	PUNCT
ejpam-701	255	1	let	let	VERB
ejpam-701	255	2	ω	ω	NUM
ejpam-701	255	3	be	be	AUX
ejpam-701	255	4	a	a	DET
ejpam-701	255	5	set	set	NOUN
ejpam-701	255	6	in	in	ADP
ejpam-701	255	7	c	c	PROPN
ejpam-701	255	8	and	and	CCONJ
ejpam-701	255	9	m	m	PROPN
ejpam-701	255	10	>	>	X
ejpam-701	255	11	0	0	X
ejpam-701	255	12	.	.	PUNCT
ejpam-701	256	1	the	the	DET
ejpam-701	256	2	class	class	NOUN
ejpam-701	256	3	of	of	ADP
ejpam-701	256	4	admissible	admissible	ADJ
ejpam-701	256	5	functions	function	NOUN
ejpam-701	256	6	φh,1[ω	φh,1[ω	NUM
ejpam-701	256	7	,	,	PUNCT
ejpam-701	256	8	m	m	PRON
ejpam-701	256	9	]	]	PUNCT
ejpam-701	256	10	consists	consist	VERB
ejpam-701	256	11	of	of	ADP
ejpam-701	256	12	those	those	DET
ejpam-701	256	13	functions	function	NOUN
ejpam-701	256	14	ϕ	ϕ	NOUN
ejpam-701	256	15	:	:	PUNCT
ejpam-701	256	16	c3×	c3×	NOUN
ejpam-701	256	17	u	u	NOUN
ejpam-701	256	18	→	→	SYM
ejpam-701	256	19	c	c	X
ejpam-701	256	20	such	such	ADJ
ejpam-701	256	21	that	that	PRON
ejpam-701	257	1	ϕ	ϕ	PROPN
ejpam-701	257	2	1+meiθ	1+meiθ	PROPN
ejpam-701	257	3	,	,	PUNCT
ejpam-701	257	4	1	1	NUM
ejpam-701	257	5	+	+	NUM
ejpam-701	257	6	k+	k+	X
ejpam-701	257	7	�	�	PROPN
ejpam-701	257	8	ℓ	ℓ	PROPN
ejpam-701	257	9	λ	λ	PROPN
ejpam-701	257	10	�	�	PROPN
ejpam-701	257	11	(	(	PUNCT
ejpam-701	257	12	1+meiθ	1+meiθ	NUM
ejpam-701	257	13	)	)	PUNCT
ejpam-701	257	14	�	�	PROPN
ejpam-701	257	15	ℓ	ℓ	PROPN
ejpam-701	257	16	λ	λ	PROPN
ejpam-701	257	17	�	�	PROPN
ejpam-701	257	18	(	(	PUNCT
ejpam-701	257	19	1+meiθ	1+meiθ	NOUN
ejpam-701	257	20	)	)	PUNCT
ejpam-701	257	21	meiθ	meiθ	NOUN
ejpam-701	257	22	,	,	PUNCT
ejpam-701	257	23	1	1	NUM
ejpam-701	257	24	+	+	NUM
ejpam-701	257	25	k+	k+	X
ejpam-701	257	26	�	�	PROPN
ejpam-701	257	27	ℓ	ℓ	PROPN
ejpam-701	257	28	λ	λ	PROPN
ejpam-701	257	29	�	�	PROPN
ejpam-701	257	30	(	(	PUNCT
ejpam-701	257	31	1+meiθ	1+meiθ	NUM
ejpam-701	257	32	)	)	PUNCT
ejpam-701	257	33	�	�	PROPN
ejpam-701	257	34	ℓ	ℓ	PROPN
ejpam-701	257	35	λ	λ	PROPN
ejpam-701	257	36	�	�	PROPN
ejpam-701	257	37	(	(	PUNCT
ejpam-701	257	38	1+meiθ	1+meiθ	PROPN
ejpam-701	257	39	)	)	PUNCT
ejpam-701	257	40	meiθ+	meiθ+	PROPN
ejpam-701	257	41	(	(	PUNCT
ejpam-701	257	42	m	m	VERB
ejpam-701	257	43	+	+	X
ejpam-701	257	44	e−iθ	e−iθ	X
ejpam-701	257	45	)	)	PUNCT
ejpam-701	258	1	¦	¦	PROPN
ejpam-701	258	2	le−iθ	le−iθ	PROPN
ejpam-701	258	3	+	+	CCONJ
ejpam-701	258	4	�	�	PROPN
ejpam-701	258	5	�	�	PROPN
ejpam-701	258	6	ℓ	ℓ	PROPN
ejpam-701	258	7	λ	λ	PROPN
ejpam-701	258	8	�	�	PROPN
ejpam-701	258	9	+	+	CCONJ
ejpam-701	258	10	1	1	NUM
ejpam-701	258	11	�	�	NOUN
ejpam-701	258	12	km	km	NOUN
ejpam-701	258	13	+	+	CCONJ
ejpam-701	258	14	�	�	PROPN
ejpam-701	258	15	ℓ	ℓ	PROPN
ejpam-701	258	16	λ	λ	PROPN
ejpam-701	258	17	�	�	PROPN
ejpam-701	258	18	km2eiθ	km2eiθ	PROPN
ejpam-701	259	1	©	©	PROPN
ejpam-701	259	2	−	−	PROPN
ejpam-701	259	3	k2m2	k2m2	PROPN
ejpam-701	259	4	�	�	PROPN
ejpam-701	259	5	ℓ	ℓ	PROPN
ejpam-701	259	6	λ	λ	PROPN
ejpam-701	259	7	�	�	PROPN
ejpam-701	259	8	(	(	PUNCT
ejpam-701	259	9	m	m	PROPN
ejpam-701	259	10	+	+	X
ejpam-701	259	11	e−iθ	e−iθ	X
ejpam-701	259	12	)	)	PUNCT
ejpam-701	259	13	¦	¦	PROPN
ejpam-701	259	14	�	�	PROPN
ejpam-701	259	15	ℓ	ℓ	PROPN
ejpam-701	259	16	λ	λ	PROPN
ejpam-701	259	17	�	�	PROPN
ejpam-701	259	18	e−iθ	e−iθ	PROPN
ejpam-701	259	19	+	+	CCONJ
ejpam-701	259	20	�	�	PROPN
ejpam-701	259	21	2	2	NUM
ejpam-701	259	22	�	�	PROPN
ejpam-701	259	23	ℓ	ℓ	PROPN
ejpam-701	259	24	λ	λ	PROPN
ejpam-701	259	25	�	�	PROPN
ejpam-701	259	26	+	+	CCONJ
ejpam-701	259	27	k	k	PROPN
ejpam-701	259	28	�	�	PROPN
ejpam-701	259	29	m	m	PROPN
ejpam-701	259	30	+	+	ADJ
ejpam-701	259	31	�	�	PROPN
ejpam-701	259	32	ℓ	ℓ	PROPN
ejpam-701	259	33	λ	λ	PROPN
ejpam-701	259	34	�	�	PROPN
ejpam-701	259	35	m2eiθ	m2eiθ	PROPN
ejpam-701	259	36	©	©	PROPN
ejpam-701	259	37	;	;	PUNCT
ejpam-701	259	38	z	z	X
ejpam-701	259	39	!	!	PUNCT
ejpam-701	259	40	/∈	/∈	PUNCT
ejpam-701	260	1	ω	ω	NUM
ejpam-701	260	2	,	,	PUNCT
ejpam-701	260	3	(	(	PUNCT
ejpam-701	260	4	28	28	NUM
ejpam-701	260	5	)	)	PUNCT
ejpam-701	260	6	where	where	SCONJ
ejpam-701	260	7	z	z	PROPN
ejpam-701	260	8	∈	∈	PROPN
ejpam-701	260	9	u	u	PROPN
ejpam-701	260	10	,	,	PUNCT
ejpam-701	260	11	θ	θ	PROPN
ejpam-701	260	12	∈	∈	PROPN
ejpam-701	260	13	r	r	NOUN
ejpam-701	260	14	,	,	PUNCT
ejpam-701	260	15	re	re	X
ejpam-701	260	16	�	�	PROPN
ejpam-701	260	17	le−iθ	le−iθ	PROPN
ejpam-701	260	18	�	�	PROPN
ejpam-701	260	19	≥	≥	PROPN
ejpam-701	260	20	(	(	PUNCT
ejpam-701	260	21	k−	k−	PROPN
ejpam-701	260	22	1)km	1)km	PROPN
ejpam-701	260	23	for	for	ADP
ejpam-701	260	24	all	all	DET
ejpam-701	260	25	real	real	ADJ
ejpam-701	260	26	θ	θ	PROPN
ejpam-701	260	27	and	and	CCONJ
ejpam-701	260	28	k	k	PROPN
ejpam-701	260	29	≥	≥	NUM
ejpam-701	260	30	1	1	NUM
ejpam-701	260	31	.	.	PUNCT
ejpam-701	260	32	corollary	corollary	ADJ
ejpam-701	260	33	5	5	NUM
ejpam-701	260	34	.	.	PUNCT
ejpam-701	261	1	let	let	VERB
ejpam-701	261	2	ϕ	ϕ	PROPN
ejpam-701	261	3	∈	∈	PROPN
ejpam-701	261	4	φh,1[ω	φh,1[ω	NOUN
ejpam-701	261	5	,	,	PUNCT
ejpam-701	261	6	m	m	PROPN
ejpam-701	261	7	]	]	X
ejpam-701	261	8	.	.	PUNCT
ejpam-701	262	1	if	if	SCONJ
ejpam-701	262	2	f	f	PROPN
ejpam-701	262	3	(	(	PUNCT
ejpam-701	262	4	z	z	NOUN
ejpam-701	262	5	)	)	PUNCT
ejpam-701	262	6	∈	∈	PROPN
ejpam-701	262	7	∑	∑	PUNCT
ejpam-701	262	8	(	(	PUNCT
ejpam-701	262	9	p	p	NOUN
ejpam-701	262	10	)	)	PUNCT
ejpam-701	262	11	satisfies	satisfy	VERB
ejpam-701	262	12	ϕ	ϕ	PROPN
ejpam-701	262	13	im+1	im+1	X
ejpam-701	262	14	p	p	X
ejpam-701	262	15	(	(	PUNCT
ejpam-701	262	16	λ,ℓ	λ,ℓ	NOUN
ejpam-701	262	17	)	)	PUNCT
ejpam-701	262	18	f	f	NOUN
ejpam-701	262	19	(	(	PUNCT
ejpam-701	262	20	z	z	X
ejpam-701	262	21	)	)	PUNCT
ejpam-701	263	1	i	i	PRON
ejpam-701	263	2	m	m	VERB
ejpam-701	263	3	p	p	X
ejpam-701	263	4	(	(	PUNCT
ejpam-701	263	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	263	6	)	)	PUNCT
ejpam-701	263	7	f	f	NOUN
ejpam-701	263	8	(	(	PUNCT
ejpam-701	263	9	z	z	NOUN
ejpam-701	263	10	)	)	PUNCT
ejpam-701	263	11	,	,	PUNCT
ejpam-701	263	12	im+2	im+2	PROPN
ejpam-701	263	13	p	p	NOUN
ejpam-701	263	14	(	(	PUNCT
ejpam-701	263	15	λ,ℓ	λ,ℓ	NOUN
ejpam-701	263	16	)	)	PUNCT
ejpam-701	263	17	f	f	NOUN
ejpam-701	263	18	(	(	PUNCT
ejpam-701	263	19	z	z	NOUN
ejpam-701	263	20	)	)	PUNCT
ejpam-701	263	21	im+1	im+1	PROPN
ejpam-701	263	22	p	p	X
ejpam-701	263	23	(	(	PUNCT
ejpam-701	263	24	λ,ℓ	λ,ℓ	NOUN
ejpam-701	263	25	)	)	PUNCT
ejpam-701	263	26	f	f	NOUN
ejpam-701	263	27	(	(	PUNCT
ejpam-701	263	28	z	z	NOUN
ejpam-701	263	29	)	)	PUNCT
ejpam-701	263	30	,	,	PUNCT
ejpam-701	263	31	im+3	im+3	X
ejpam-701	263	32	p	p	X
ejpam-701	263	33	(	(	PUNCT
ejpam-701	263	34	λ,ℓ	λ,ℓ	NOUN
ejpam-701	263	35	)	)	PUNCT
ejpam-701	263	36	f	f	NOUN
ejpam-701	263	37	(	(	PUNCT
ejpam-701	263	38	z	z	NOUN
ejpam-701	263	39	)	)	PUNCT
ejpam-701	263	40	im+2	im+2	PROPN
ejpam-701	263	41	p	p	NOUN
ejpam-701	263	42	(	(	PUNCT
ejpam-701	263	43	λ,ℓ	λ,ℓ	NOUN
ejpam-701	263	44	)	)	PUNCT
ejpam-701	263	45	f	f	NOUN
ejpam-701	263	46	(	(	PUNCT
ejpam-701	263	47	z	z	NOUN
ejpam-701	263	48	)	)	PUNCT
ejpam-701	263	49	;	;	PUNCT
ejpam-701	264	1	z	z	X
ejpam-701	264	2	!	!	PUNCT
ejpam-701	265	1	∈	∈	PROPN
ejpam-701	265	2	ω	ω	PROPN
ejpam-701	265	3	,	,	PUNCT
ejpam-701	265	4	then	then	ADV
ejpam-701	265	5	�	�	PROPN
ejpam-701	265	6	�	�	PROPN
ejpam-701	265	7	�	�	PROPN
ejpam-701	265	8	�	�	PROPN
ejpam-701	265	9	�	�	PROPN
ejpam-701	265	10	im+1	im+1	PROPN
ejpam-701	265	11	p	p	X
ejpam-701	265	12	(	(	PUNCT
ejpam-701	265	13	λ,ℓ	λ,ℓ	NOUN
ejpam-701	265	14	)	)	PUNCT
ejpam-701	265	15	f	f	NOUN
ejpam-701	265	16	(	(	PUNCT
ejpam-701	265	17	z	z	X
ejpam-701	265	18	)	)	PUNCT
ejpam-701	265	19	i	i	PRON
ejpam-701	265	20	m	m	VERB
ejpam-701	265	21	p	p	X
ejpam-701	265	22	(	(	PUNCT
ejpam-701	265	23	λ,ℓ	λ,ℓ	NOUN
ejpam-701	265	24	)	)	PUNCT
ejpam-701	265	25	f	f	NOUN
ejpam-701	265	26	(	(	PUNCT
ejpam-701	265	27	z	z	NOUN
ejpam-701	265	28	)	)	PUNCT
ejpam-701	265	29	−	−	PROPN
ejpam-701	265	30	1	1	NUM
ejpam-701	265	31	�	�	PROPN
ejpam-701	265	32	�	�	PROPN
ejpam-701	265	33	�	�	PROPN
ejpam-701	265	34	�	�	PROPN
ejpam-701	265	35	�	�	PROPN
ejpam-701	265	36	<	<	X
ejpam-701	265	37	m	m	PROPN
ejpam-701	265	38	.	.	PUNCT
ejpam-701	266	1	in	in	ADP
ejpam-701	266	2	the	the	DET
ejpam-701	266	3	special	special	ADJ
ejpam-701	266	4	case	case	NOUN
ejpam-701	266	5	ω	ω	NOUN
ejpam-701	266	6	=	=	SYM
ejpam-701	266	7	q(u	q(u	PROPN
ejpam-701	266	8	)	)	PUNCT
ejpam-701	266	9	=	=	SYM
ejpam-701	266	10	{	{	PUNCT
ejpam-701	266	11	w	w	NOUN
ejpam-701	266	12	:	:	PUNCT
ejpam-701	266	13	|w	|w	ADJ
ejpam-701	266	14	−	−	PROPN
ejpam-701	266	15	1|	1|	NUM
ejpam-701	266	16	<	<	X
ejpam-701	266	17	m	m	X
ejpam-701	266	18	}	}	PUNCT
ejpam-701	266	19	,	,	PUNCT
ejpam-701	266	20	the	the	DET
ejpam-701	266	21	class	class	NOUN
ejpam-701	266	22	φh,1[ω	φh,1[ω	NOUN
ejpam-701	266	23	,	,	PUNCT
ejpam-701	266	24	m	m	PROPN
ejpam-701	266	25	]	]	PUNCT
ejpam-701	266	26	is	be	AUX
ejpam-701	266	27	simply	simply	ADV
ejpam-701	266	28	denoted	denote	VERB
ejpam-701	266	29	by	by	ADP
ejpam-701	266	30	φh,1[m	φh,1[m	NOUN
ejpam-701	266	31	]	]	PUNCT
ejpam-701	266	32	,	,	PUNCT
ejpam-701	266	33	and	and	CCONJ
ejpam-701	266	34	corollary	corollary	ADJ
ejpam-701	266	35	5	5	NUM
ejpam-701	266	36	takes	take	VERB
ejpam-701	266	37	the	the	DET
ejpam-701	266	38	following	follow	VERB
ejpam-701	266	39	form	form	NOUN
ejpam-701	266	40	:	:	PUNCT
ejpam-701	266	41	corollary	corollary	ADJ
ejpam-701	266	42	6	6	NUM
ejpam-701	266	43	.	.	PUNCT
ejpam-701	267	1	let	let	VERB
ejpam-701	267	2	ϕ	ϕ	PROPN
ejpam-701	267	3	∈	∈	PROPN
ejpam-701	267	4	φh,1[m	φh,1[m	NOUN
ejpam-701	267	5	]	]	X
ejpam-701	267	6	.	.	PUNCT
ejpam-701	268	1	if	if	SCONJ
ejpam-701	268	2	f	f	PROPN
ejpam-701	268	3	(	(	PUNCT
ejpam-701	268	4	z	z	NOUN
ejpam-701	268	5	)	)	PUNCT
ejpam-701	268	6	∈	∈	PROPN
ejpam-701	268	7	∑	∑	PUNCT
ejpam-701	268	8	(	(	PUNCT
ejpam-701	268	9	p	p	NOUN
ejpam-701	268	10	)	)	PUNCT
ejpam-701	268	11	satisfies	satisfy	VERB
ejpam-701	268	12	�	�	PROPN
ejpam-701	268	13	�	�	PROPN
ejpam-701	268	14	�	�	PROPN
ejpam-701	268	15	�	�	PROPN
ejpam-701	268	16	�	�	PROPN
ejpam-701	268	17	ϕ	ϕ	PROPN
ejpam-701	268	18	im+1	im+1	PROPN
ejpam-701	268	19	p	p	X
ejpam-701	268	20	(	(	PUNCT
ejpam-701	268	21	λ,ℓ	λ,ℓ	NOUN
ejpam-701	268	22	)	)	PUNCT
ejpam-701	268	23	f	f	NOUN
ejpam-701	268	24	(	(	PUNCT
ejpam-701	268	25	z	z	X
ejpam-701	268	26	)	)	PUNCT
ejpam-701	269	1	i	i	PRON
ejpam-701	269	2	m	m	VERB
ejpam-701	269	3	p	p	X
ejpam-701	269	4	(	(	PUNCT
ejpam-701	269	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	269	6	)	)	PUNCT
ejpam-701	269	7	f	f	NOUN
ejpam-701	269	8	(	(	PUNCT
ejpam-701	269	9	z	z	NOUN
ejpam-701	269	10	)	)	PUNCT
ejpam-701	269	11	,	,	PUNCT
ejpam-701	269	12	im+2	im+2	PROPN
ejpam-701	269	13	p	p	NOUN
ejpam-701	269	14	(	(	PUNCT
ejpam-701	269	15	λ,ℓ	λ,ℓ	NOUN
ejpam-701	269	16	)	)	PUNCT
ejpam-701	269	17	f	f	NOUN
ejpam-701	269	18	(	(	PUNCT
ejpam-701	269	19	z	z	NOUN
ejpam-701	269	20	)	)	PUNCT
ejpam-701	269	21	im+1	im+1	PROPN
ejpam-701	269	22	p	p	X
ejpam-701	269	23	(	(	PUNCT
ejpam-701	269	24	λ,ℓ	λ,ℓ	NOUN
ejpam-701	269	25	)	)	PUNCT
ejpam-701	269	26	f	f	NOUN
ejpam-701	269	27	(	(	PUNCT
ejpam-701	269	28	z	z	NOUN
ejpam-701	269	29	)	)	PUNCT
ejpam-701	269	30	,	,	PUNCT
ejpam-701	269	31	im+3	im+3	X
ejpam-701	269	32	p	p	X
ejpam-701	269	33	(	(	PUNCT
ejpam-701	269	34	λ,ℓ	λ,ℓ	NOUN
ejpam-701	269	35	)	)	PUNCT
ejpam-701	269	36	f	f	NOUN
ejpam-701	269	37	(	(	PUNCT
ejpam-701	269	38	z	z	NOUN
ejpam-701	269	39	)	)	PUNCT
ejpam-701	269	40	im+2	im+2	PROPN
ejpam-701	269	41	p	p	NOUN
ejpam-701	269	42	(	(	PUNCT
ejpam-701	269	43	λ,ℓ	λ,ℓ	NOUN
ejpam-701	269	44	)	)	PUNCT
ejpam-701	269	45	f	f	NOUN
ejpam-701	269	46	(	(	PUNCT
ejpam-701	269	47	z	z	NOUN
ejpam-701	269	48	)	)	PUNCT
ejpam-701	269	49	;	;	PUNCT
ejpam-701	270	1	z	z	X
ejpam-701	270	2	!	!	PUNCT
ejpam-701	271	1	−	−	NOUN
ejpam-701	271	2	1	1	NUM
ejpam-701	271	3	�	�	PROPN
ejpam-701	271	4	�	�	PROPN
ejpam-701	271	5	�	�	PROPN
ejpam-701	271	6	�	�	PROPN
ejpam-701	271	7	�	�	PROPN
ejpam-701	271	8	<	<	X
ejpam-701	271	9	m	m	PROPN
ejpam-701	271	10	,	,	PUNCT
ejpam-701	271	11	then	then	ADV
ejpam-701	271	12	�	�	PROPN
ejpam-701	271	13	�	�	PROPN
ejpam-701	271	14	�	�	PROPN
ejpam-701	271	15	�	�	PROPN
ejpam-701	271	16	�	�	PROPN
ejpam-701	272	1	im+1	im+1	PROPN
ejpam-701	272	2	p	p	X
ejpam-701	272	3	(	(	PUNCT
ejpam-701	272	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	272	5	)	)	PUNCT
ejpam-701	272	6	f	f	NOUN
ejpam-701	272	7	(	(	PUNCT
ejpam-701	272	8	z	z	X
ejpam-701	272	9	)	)	PUNCT
ejpam-701	272	10	i	i	PRON
ejpam-701	272	11	m	m	VERB
ejpam-701	272	12	p	p	X
ejpam-701	272	13	(	(	PUNCT
ejpam-701	272	14	λ,ℓ	λ,ℓ	NOUN
ejpam-701	272	15	)	)	PUNCT
ejpam-701	272	16	f	f	NOUN
ejpam-701	272	17	(	(	PUNCT
ejpam-701	272	18	z	z	NOUN
ejpam-701	272	19	)	)	PUNCT
ejpam-701	272	20	−	−	PROPN
ejpam-701	272	21	1	1	NUM
ejpam-701	272	22	�	�	PROPN
ejpam-701	272	23	�	�	PROPN
ejpam-701	272	24	�	�	PROPN
ejpam-701	272	25	�	�	PROPN
ejpam-701	272	26	�	�	PROPN
ejpam-701	272	27	<	<	X
ejpam-701	272	28	m	m	PROPN
ejpam-701	272	29	.	.	PUNCT
ejpam-701	273	1	r.	r.	PROPN
ejpam-701	273	2	el	el	PROPN
ejpam-701	273	3	-	-	PUNCT
ejpam-701	273	4	ashwah	ashwah	NOUN
ejpam-701	273	5	,	,	PUNCT
ejpam-701	273	6	m.	m.	NOUN
ejpam-701	273	7	aouf	aouf	PROPN
ejpam-701	273	8	/	/	SYM
ejpam-701	273	9	eur	eur	PROPN
ejpam-701	273	10	.	.	PUNCT
ejpam-701	274	1	j.	j.	PROPN
ejpam-701	274	2	pure	pure	PROPN
ejpam-701	274	3	appl	appl	PROPN
ejpam-701	274	4	.	.	PROPN
ejpam-701	274	5	math	math	PROPN
ejpam-701	274	6	,	,	PUNCT
ejpam-701	274	7	3	3	NUM
ejpam-701	274	8	(	(	PUNCT
ejpam-701	274	9	2010	2010	NUM
ejpam-701	274	10	)	)	PUNCT
ejpam-701	274	11	,	,	PUNCT
ejpam-701	274	12	1070	1070	NUM
ejpam-701	274	13	-	-	SYM
ejpam-701	274	14	1085	1085	NUM
ejpam-701	274	15	1080	1080	NUM
ejpam-701	274	16	corollary	corollary	NOUN
ejpam-701	274	17	7	7	NUM
ejpam-701	274	18	.	.	PUNCT
ejpam-701	275	1	if	if	SCONJ
ejpam-701	275	2	m	m	ADV
ejpam-701	275	3	>	>	X
ejpam-701	275	4	0	0	PUNCT
ejpam-701	276	1	and	and	CCONJ
ejpam-701	276	2	f	f	PROPN
ejpam-701	276	3	(	(	PUNCT
ejpam-701	276	4	z	z	NOUN
ejpam-701	276	5	)	)	PUNCT
ejpam-701	276	6	∈	∈	PROPN
ejpam-701	276	7	∑	∑	PUNCT
ejpam-701	276	8	(	(	PUNCT
ejpam-701	276	9	p	p	NOUN
ejpam-701	276	10	)	)	PUNCT
ejpam-701	276	11	satisfies	satisfy	VERB
ejpam-701	276	12	�	�	PROPN
ejpam-701	276	13	�	�	PROPN
ejpam-701	276	14	�	�	PROPN
ejpam-701	276	15	�	�	PROPN
ejpam-701	276	16	�	�	PROPN
ejpam-701	276	17	im+2	im+2	PROPN
ejpam-701	276	18	p	p	X
ejpam-701	276	19	(	(	PUNCT
ejpam-701	276	20	λ,ℓ	λ,ℓ	NOUN
ejpam-701	276	21	)	)	PUNCT
ejpam-701	276	22	f	f	NOUN
ejpam-701	276	23	(	(	PUNCT
ejpam-701	276	24	z	z	NOUN
ejpam-701	276	25	)	)	PUNCT
ejpam-701	276	26	im+1	im+1	PROPN
ejpam-701	276	27	p	p	X
ejpam-701	276	28	(	(	PUNCT
ejpam-701	276	29	λ,ℓ	λ,ℓ	NOUN
ejpam-701	276	30	)	)	PUNCT
ejpam-701	276	31	f	f	NOUN
ejpam-701	276	32	(	(	PUNCT
ejpam-701	276	33	z	z	NOUN
ejpam-701	276	34	)	)	PUNCT
ejpam-701	276	35	−	−	PROPN
ejpam-701	277	1	im+1	im+1	X
ejpam-701	277	2	p	p	X
ejpam-701	277	3	(	(	PUNCT
ejpam-701	277	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	277	5	)	)	PUNCT
ejpam-701	277	6	f	f	NOUN
ejpam-701	277	7	(	(	PUNCT
ejpam-701	277	8	z	z	X
ejpam-701	277	9	)	)	PUNCT
ejpam-701	277	10	i	i	PRON
ejpam-701	277	11	m	m	VERB
ejpam-701	277	12	p	p	X
ejpam-701	277	13	(	(	PUNCT
ejpam-701	277	14	λ,ℓ	λ,ℓ	NOUN
ejpam-701	277	15	)	)	PUNCT
ejpam-701	277	16	f	f	NOUN
ejpam-701	277	17	(	(	PUNCT
ejpam-701	277	18	z	z	NOUN
ejpam-701	277	19	)	)	PUNCT
ejpam-701	277	20	�	�	PROPN
ejpam-701	277	21	�	�	PROPN
ejpam-701	277	22	�	�	PROPN
ejpam-701	277	23	�	�	PROPN
ejpam-701	277	24	�	�	PROPN
ejpam-701	277	25	<	<	X
ejpam-701	277	26	m	m	PROPN
ejpam-701	277	27	�	�	PROPN
ejpam-701	277	28	ℓ	ℓ	PROPN
ejpam-701	277	29	λ	λ	PROPN
ejpam-701	277	30	�	�	PROPN
ejpam-701	277	31	(	(	PUNCT
ejpam-701	277	32	1+m	1+m	NUM
ejpam-701	277	33	)	)	PUNCT
ejpam-701	277	34	,	,	PUNCT
ejpam-701	277	35	then	then	ADV
ejpam-701	277	36	�	�	PROPN
ejpam-701	277	37	�	�	PROPN
ejpam-701	277	38	�	�	PROPN
ejpam-701	277	39	�	�	PROPN
ejpam-701	277	40	�	�	PROPN
ejpam-701	277	41	im+1	im+1	PROPN
ejpam-701	277	42	p	p	X
ejpam-701	277	43	(	(	PUNCT
ejpam-701	277	44	λ,ℓ	λ,ℓ	NOUN
ejpam-701	277	45	)	)	PUNCT
ejpam-701	277	46	f	f	NOUN
ejpam-701	277	47	(	(	PUNCT
ejpam-701	277	48	z	z	X
ejpam-701	277	49	)	)	PUNCT
ejpam-701	278	1	i	i	PRON
ejpam-701	278	2	m	m	VERB
ejpam-701	278	3	p	p	X
ejpam-701	278	4	(	(	PUNCT
ejpam-701	278	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	278	6	)	)	PUNCT
ejpam-701	278	7	f	f	NOUN
ejpam-701	278	8	(	(	PUNCT
ejpam-701	278	9	z	z	NOUN
ejpam-701	278	10	)	)	PUNCT
ejpam-701	278	11	−	−	PROPN
ejpam-701	278	12	1	1	NUM
ejpam-701	278	13	�	�	PROPN
ejpam-701	278	14	�	�	PROPN
ejpam-701	278	15	�	�	PROPN
ejpam-701	278	16	�	�	PROPN
ejpam-701	278	17	�	�	PROPN
ejpam-701	278	18	<	<	X
ejpam-701	278	19	m	m	PROPN
ejpam-701	278	20	.	.	PUNCT
ejpam-701	279	1	proof	proof	NOUN
ejpam-701	279	2	.	.	PUNCT
ejpam-701	280	1	this	this	PRON
ejpam-701	280	2	follows	follow	VERB
ejpam-701	280	3	from	from	ADP
ejpam-701	280	4	corollary	corollary	ADJ
ejpam-701	280	5	6	6	NUM
ejpam-701	280	6	by	by	ADP
ejpam-701	280	7	taking	take	VERB
ejpam-701	280	8	ϕ(u	ϕ(u	PROPN
ejpam-701	280	9	,	,	PUNCT
ejpam-701	280	10	v	v	NOUN
ejpam-701	280	11	,	,	PUNCT
ejpam-701	280	12	w	w	NOUN
ejpam-701	280	13	;	;	PUNCT
ejpam-701	280	14	z	z	X
ejpam-701	280	15	)	)	PUNCT
ejpam-701	280	16	=	=	SYM
ejpam-701	280	17	v	v	ADP
ejpam-701	280	18	−	−	PROPN
ejpam-701	280	19	u	u	NOUN
ejpam-701	280	20	and	and	CCONJ
ejpam-701	280	21	ω	ω	NUM
ejpam-701	280	22	=	=	SYM
ejpam-701	280	23	h(u	h(u	PROPN
ejpam-701	280	24	)	)	PUNCT
ejpam-701	280	25	,	,	PUNCT
ejpam-701	280	26	where	where	SCONJ
ejpam-701	280	27	h(z	h(z	NOUN
ejpam-701	280	28	)	)	PUNCT
ejpam-701	280	29	=	=	PUNCT
ejpam-701	281	1	m	m	VERB
ejpam-701	281	2	�	�	PROPN
ejpam-701	281	3	ℓ	ℓ	PROPN
ejpam-701	281	4	λ	λ	PROPN
ejpam-701	281	5	�	�	PROPN
ejpam-701	281	6	(	(	PUNCT
ejpam-701	281	7	1+m	1+m	NUM
ejpam-701	281	8	)	)	PUNCT
ejpam-701	281	9	z	z	NOUN
ejpam-701	281	10	,	,	PUNCT
ejpam-701	281	11	m	m	VERB
ejpam-701	281	12	>	>	X
ejpam-701	281	13	0	0	NUM
ejpam-701	281	14	.	.	PUNCT
ejpam-701	281	15	to	to	PART
ejpam-701	281	16	use	use	VERB
ejpam-701	281	17	corollary	corollary	ADJ
ejpam-701	281	18	6	6	NUM
ejpam-701	281	19	,	,	PUNCT
ejpam-701	281	20	we	we	PRON
ejpam-701	281	21	need	need	VERB
ejpam-701	281	22	to	to	PART
ejpam-701	281	23	show	show	VERB
ejpam-701	281	24	that	that	SCONJ
ejpam-701	281	25	ϕ	ϕ	PROPN
ejpam-701	281	26	∈	∈	PROPN
ejpam-701	281	27	φh,1[m	φh,1[m	NOUN
ejpam-701	281	28	]	]	X
ejpam-701	281	29	,	,	PUNCT
ejpam-701	281	30	that	that	ADV
ejpam-701	281	31	is	is	ADV
ejpam-701	281	32	,	,	PUNCT
ejpam-701	281	33	the	the	DET
ejpam-701	281	34	admissible	admissible	ADJ
ejpam-701	281	35	condition	condition	NOUN
ejpam-701	281	36	(	(	PUNCT
ejpam-701	281	37	28	28	NUM
ejpam-701	281	38	)	)	PUNCT
ejpam-701	281	39	is	be	AUX
ejpam-701	281	40	satisfied	satisfied	ADJ
ejpam-701	281	41	.	.	PUNCT
ejpam-701	282	1	this	this	PRON
ejpam-701	282	2	follows	follow	VERB
ejpam-701	282	3	since	since	SCONJ
ejpam-701	282	4	�	�	PROPN
ejpam-701	282	5	�	�	PROPN
ejpam-701	282	6	ϕ(u	ϕ(u	PROPN
ejpam-701	282	7	,	,	PUNCT
ejpam-701	282	8	v	v	NOUN
ejpam-701	282	9	,	,	PUNCT
ejpam-701	282	10	w	w	PROPN
ejpam-701	282	11	;	;	PUNCT
ejpam-701	282	12	z	z	X
ejpam-701	282	13	)	)	PUNCT
ejpam-701	282	14	�	�	PROPN
ejpam-701	282	15	�	�	PROPN
ejpam-701	282	16	=	=	SYM
ejpam-701	282	17	�	�	PROPN
ejpam-701	282	18	�	�	PROPN
ejpam-701	282	19	�	�	PROPN
ejpam-701	282	20	�	�	PROPN
ejpam-701	282	21	�	�	PROPN
ejpam-701	283	1	−1−meiθ	−1−meiθ	PROPN
ejpam-701	284	1	+	+	CCONJ
ejpam-701	284	2	1	1	NUM
ejpam-701	284	3	+	+	NUM
ejpam-701	284	4	k+	k+	X
ejpam-701	284	5	�	�	PROPN
ejpam-701	284	6	ℓ	ℓ	PROPN
ejpam-701	284	7	λ	λ	PROPN
ejpam-701	284	8	�	�	PROPN
ejpam-701	284	9	(	(	PUNCT
ejpam-701	284	10	1+meiθ	1+meiθ	NUM
ejpam-701	284	11	)	)	PUNCT
ejpam-701	285	1	�	�	PROPN
ejpam-701	285	2	ℓ	ℓ	PROPN
ejpam-701	285	3	λ	λ	PROPN
ejpam-701	285	4	�	�	PROPN
ejpam-701	285	5	(	(	PUNCT
ejpam-701	285	6	1+meiθ	1+meiθ	NOUN
ejpam-701	285	7	)	)	PUNCT
ejpam-701	285	8	meiθ	meiθ	NOUN
ejpam-701	286	1	�	�	PROPN
ejpam-701	286	2	�	�	PROPN
ejpam-701	286	3	�	�	PROPN
ejpam-701	286	4	�	�	PROPN
ejpam-701	286	5	�	�	PROPN
ejpam-701	286	6	=	=	SYM
ejpam-701	286	7	�	�	PROPN
ejpam-701	286	8	�	�	PROPN
ejpam-701	286	9	�	�	PROPN
ejpam-701	286	10	�	�	PROPN
ejpam-701	286	11	�	�	PROPN
ejpam-701	286	12	kmeiθ	kmeiθ	PROPN
ejpam-701	286	13	�	�	PROPN
ejpam-701	286	14	ℓ	ℓ	PROPN
ejpam-701	286	15	λ	λ	PROPN
ejpam-701	286	16	�	�	PROPN
ejpam-701	286	17	(	(	PUNCT
ejpam-701	286	18	1+meiθ	1+meiθ	NUM
ejpam-701	286	19	)	)	PUNCT
ejpam-701	286	20	�	�	PROPN
ejpam-701	286	21	�	�	PROPN
ejpam-701	286	22	�	�	PROPN
ejpam-701	286	23	�	�	PROPN
ejpam-701	286	24	�	�	PROPN
ejpam-701	286	25	≥	≥	PROPN
ejpam-701	286	26	m	m	PROPN
ejpam-701	286	27	�	�	PROPN
ejpam-701	286	28	ℓ	ℓ	PROPN
ejpam-701	286	29	λ	λ	PROPN
ejpam-701	286	30	�	�	PROPN
ejpam-701	286	31	(	(	PUNCT
ejpam-701	286	32	1+m	1+m	NUM
ejpam-701	286	33	)	)	PUNCT
ejpam-701	286	34	,	,	PUNCT
ejpam-701	286	35	for	for	ADP
ejpam-701	286	36	z	z	PROPN
ejpam-701	286	37	∈	∈	PROPN
ejpam-701	286	38	u	u	NOUN
ejpam-701	286	39	,	,	PUNCT
ejpam-701	286	40	θ	θ	PROPN
ejpam-701	286	41	∈	∈	PROPN
ejpam-701	286	42	r	r	NOUN
ejpam-701	286	43	,	,	PUNCT
ejpam-701	286	44	λ	λ	X
ejpam-701	286	45	>	>	X
ejpam-701	286	46	0	0	PROPN
ejpam-701	286	47	,	,	PUNCT
ejpam-701	286	48	ℓ	ℓ	PROPN
ejpam-701	286	49	>	>	PUNCT
ejpam-701	286	50	0	0	PROPN
ejpam-701	286	51	and	and	CCONJ
ejpam-701	286	52	k	k	PROPN
ejpam-701	286	53	≥	≥	NUM
ejpam-701	286	54	1	1	NUM
ejpam-701	286	55	.	.	PUNCT
ejpam-701	286	56	hence	hence	ADV
ejpam-701	286	57	by	by	ADP
ejpam-701	286	58	corollary	corollary	ADJ
ejpam-701	286	59	6	6	NUM
ejpam-701	286	60	,	,	PUNCT
ejpam-701	286	61	we	we	PRON
ejpam-701	286	62	deduce	deduce	VERB
ejpam-701	286	63	the	the	DET
ejpam-701	286	64	required	require	VERB
ejpam-701	286	65	result	result	NOUN
ejpam-701	286	66	.	.	PUNCT
ejpam-701	287	1	3	3	X
ejpam-701	287	2	.	.	X
ejpam-701	287	3	superordination	superordination	NOUN
ejpam-701	287	4	results	result	NOUN
ejpam-701	287	5	involving	involve	VERB
ejpam-701	287	6	the	the	DET
ejpam-701	287	7	operator	operator	NOUN
ejpam-701	288	1	i	i	PRON
ejpam-701	288	2	m	m	VERB
ejpam-701	288	3	p	p	X
ejpam-701	288	4	(	(	PUNCT
ejpam-701	288	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	288	6	)	)	PUNCT
ejpam-701	288	7	in	in	ADP
ejpam-701	288	8	this	this	DET
ejpam-701	288	9	section	section	NOUN
ejpam-701	288	10	we	we	PRON
ejpam-701	288	11	obtain	obtain	VERB
ejpam-701	288	12	differential	differential	ADJ
ejpam-701	288	13	superordination	superordination	NOUN
ejpam-701	288	14	for	for	ADP
ejpam-701	288	15	the	the	DET
ejpam-701	288	16	operator	operator	NOUN
ejpam-701	289	1	i	i	PRON
ejpam-701	289	2	m	m	VERB
ejpam-701	289	3	p	p	X
ejpam-701	289	4	(	(	PUNCT
ejpam-701	289	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	289	6	)	)	PUNCT
ejpam-701	289	7	.	.	PUNCT
ejpam-701	290	1	for	for	ADP
ejpam-701	290	2	this	this	DET
ejpam-701	290	3	purpose	purpose	NOUN
ejpam-701	290	4	the	the	DET
ejpam-701	290	5	class	class	NOUN
ejpam-701	290	6	of	of	ADP
ejpam-701	290	7	admissible	admissible	ADJ
ejpam-701	290	8	functions	function	NOUN
ejpam-701	290	9	is	be	AUX
ejpam-701	290	10	given	give	VERB
ejpam-701	290	11	in	in	ADP
ejpam-701	290	12	the	the	DET
ejpam-701	290	13	following	follow	VERB
ejpam-701	290	14	definition	definition	NOUN
ejpam-701	290	15	.	.	PUNCT
ejpam-701	291	1	definition	definition	NOUN
ejpam-701	291	2	7	7	NUM
ejpam-701	291	3	.	.	PUNCT
ejpam-701	292	1	let	let	VERB
ejpam-701	292	2	ω	ω	NUM
ejpam-701	292	3	be	be	AUX
ejpam-701	292	4	a	a	DET
ejpam-701	292	5	set	set	NOUN
ejpam-701	292	6	in	in	ADP
ejpam-701	292	7	c	c	PROPN
ejpam-701	292	8	and	and	CCONJ
ejpam-701	292	9	q(z	q(z	PROPN
ejpam-701	292	10	)	)	PUNCT
ejpam-701	292	11	∈	∈	PROPN
ejpam-701	292	12	h	h	NOUN
ejpam-701	292	13	with	with	ADP
ejpam-701	292	14	zq	zq	PROPN
ejpam-701	293	1	′	′	NUM
ejpam-701	294	1	(	(	PUNCT
ejpam-701	294	2	z	z	NOUN
ejpam-701	294	3	)	)	PUNCT
ejpam-701	294	4	6=	6=	ADP
ejpam-701	294	5	0	0	X
ejpam-701	294	6	.	.	PUNCT
ejpam-701	295	1	the	the	DET
ejpam-701	295	2	class	class	NOUN
ejpam-701	295	3	of	of	ADP
ejpam-701	295	4	admissible	admissible	ADJ
ejpam-701	295	5	functions	function	NOUN
ejpam-701	295	6	φ	φ	PROPN
ejpam-701	295	7	′	′	PROPN
ejpam-701	295	8	h[ω	h[ω	PROPN
ejpam-701	295	9	,	,	PUNCT
ejpam-701	295	10	q	q	X
ejpam-701	295	11	]	]	PUNCT
ejpam-701	295	12	consists	consist	VERB
ejpam-701	295	13	of	of	ADP
ejpam-701	295	14	those	those	DET
ejpam-701	295	15	functions	function	NOUN
ejpam-701	295	16	ϕ	ϕ	NOUN
ejpam-701	295	17	:	:	PUNCT
ejpam-701	295	18	c3×	c3×	NOUN
ejpam-701	295	19	u	u	NOUN
ejpam-701	295	20	→	→	SYM
ejpam-701	295	21	c	c	X
ejpam-701	295	22	that	that	PRON
ejpam-701	295	23	satisfy	satisfy	VERB
ejpam-701	295	24	the	the	DET
ejpam-701	295	25	admissibility	admissibility	NOUN
ejpam-701	295	26	condition	condition	NOUN
ejpam-701	295	27	ϕ(u	ϕ(u	PROPN
ejpam-701	295	28	,	,	PUNCT
ejpam-701	295	29	v	v	NOUN
ejpam-701	295	30	,	,	PUNCT
ejpam-701	295	31	w;ζ	w;ζ	NUM
ejpam-701	295	32	)	)	PUNCT
ejpam-701	295	33	∈	∈	PROPN
ejpam-701	295	34	ω	ω	NUM
ejpam-701	295	35	whenever	whenever	SCONJ
ejpam-701	295	36	u=	u=	ADV
ejpam-701	295	37	q(z	q(z	PROPN
ejpam-701	295	38	)	)	PUNCT
ejpam-701	295	39	,	,	PUNCT
ejpam-701	295	40	v	v	X
ejpam-701	295	41	=	=	SYM
ejpam-701	295	42	zq	zq	PROPN
ejpam-701	295	43	′	′	NUM
ejpam-701	296	1	(	(	PUNCT
ejpam-701	296	2	z	z	X
ejpam-701	296	3	)	)	PUNCT
ejpam-701	297	1	+	+	PROPN
ejpam-701	297	2	m	m	PROPN
ejpam-701	297	3	�	�	PROPN
ejpam-701	297	4	ℓ	ℓ	PROPN
ejpam-701	297	5	λ	λ	PROPN
ejpam-701	297	6	�	�	PROPN
ejpam-701	297	7	q(z	q(z	PROPN
ejpam-701	297	8	)	)	PUNCT
ejpam-701	297	9	m	m	PROPN
ejpam-701	297	10	�	�	PROPN
ejpam-701	297	11	ℓ	ℓ	PROPN
ejpam-701	297	12	λ	λ	PROPN
ejpam-701	297	13	�	�	PROPN
ejpam-701	297	14	,	,	PUNCT
ejpam-701	297	15	re	re	X
ejpam-701	297	16	(	(	PUNCT
ejpam-701	297	17	�	�	PROPN
ejpam-701	297	18	ℓ	ℓ	PROPN
ejpam-701	297	19	λ	λ	PROPN
ejpam-701	297	20	�	�	PROPN
ejpam-701	297	21	(	(	PUNCT
ejpam-701	297	22	w	w	PROPN
ejpam-701	297	23	−	−	PROPN
ejpam-701	297	24	u	u	NOUN
ejpam-701	297	25	)	)	PUNCT
ejpam-701	297	26	v	v	ADP
ejpam-701	297	27	−	−	PROPN
ejpam-701	297	28	u	u	NOUN
ejpam-701	297	29	−	−	PROPN
ejpam-701	297	30	2	2	NUM
ejpam-701	297	31	�	�	PROPN
ejpam-701	297	32	ℓ	ℓ	PROPN
ejpam-701	297	33	λ	λ	PROPN
ejpam-701	297	34	�	�	PROPN
ejpam-701	297	35	)	)	PUNCT
ejpam-701	297	36	≤	≤	NOUN
ejpam-701	297	37	1	1	NUM
ejpam-701	297	38	m	m	VERB
ejpam-701	297	39	re	re	VERB
ejpam-701	297	40	(	(	PUNCT
ejpam-701	297	41	1	1	NUM
ejpam-701	297	42	+	+	NUM
ejpam-701	297	43	zq	zq	PROPN
ejpam-701	297	44	′′	′′	PROPN
ejpam-701	297	45	(	(	PUNCT
ejpam-701	297	46	z	z	NOUN
ejpam-701	297	47	)	)	PUNCT
ejpam-701	297	48	q	q	NOUN
ejpam-701	297	49	′	′	NUM
ejpam-701	297	50	(	(	PUNCT
ejpam-701	297	51	z	z	NOUN
ejpam-701	297	52	)	)	PUNCT
ejpam-701	297	53	)	)	PUNCT
ejpam-701	297	54	,	,	PUNCT
ejpam-701	297	55	where	where	SCONJ
ejpam-701	297	56	z	z	PROPN
ejpam-701	297	57	∈	∈	PROPN
ejpam-701	297	58	u	u	NOUN
ejpam-701	297	59	,	,	PUNCT
ejpam-701	297	60	ζ	ζ	PROPN
ejpam-701	297	61	∈	∈	PROPN
ejpam-701	297	62	∂	∂	NUM
ejpam-701	297	63	u	u	NOUN
ejpam-701	297	64	and	and	CCONJ
ejpam-701	297	65	m	m	PROPN
ejpam-701	297	66	≥	≥	NOUN
ejpam-701	297	67	1	1	NUM
ejpam-701	297	68	.	.	PUNCT
ejpam-701	297	69	r.	r.	PROPN
ejpam-701	297	70	el	el	PROPN
ejpam-701	297	71	-	-	PUNCT
ejpam-701	297	72	ashwah	ashwah	NOUN
ejpam-701	297	73	,	,	PUNCT
ejpam-701	297	74	m.	m.	NOUN
ejpam-701	297	75	aouf	aouf	PROPN
ejpam-701	297	76	/	/	SYM
ejpam-701	297	77	eur	eur	PROPN
ejpam-701	297	78	.	.	PUNCT
ejpam-701	298	1	j.	j.	PROPN
ejpam-701	298	2	pure	pure	PROPN
ejpam-701	298	3	appl	appl	PROPN
ejpam-701	298	4	.	.	PROPN
ejpam-701	298	5	math	math	PROPN
ejpam-701	298	6	,	,	PUNCT
ejpam-701	298	7	3	3	NUM
ejpam-701	298	8	(	(	PUNCT
ejpam-701	298	9	2010	2010	NUM
ejpam-701	298	10	)	)	PUNCT
ejpam-701	298	11	,	,	PUNCT
ejpam-701	298	12	1070	1070	NUM
ejpam-701	298	13	-	-	SYM
ejpam-701	298	14	1085	1085	NUM
ejpam-701	298	15	1081	1081	NUM
ejpam-701	298	16	theorem	theorem	NOUN
ejpam-701	298	17	7	7	NUM
ejpam-701	298	18	.	.	PUNCT
ejpam-701	299	1	let	let	VERB
ejpam-701	299	2	ϕ	ϕ	PROPN
ejpam-701	299	3	∈	∈	PROPN
ejpam-701	299	4	φ	φ	X
ejpam-701	299	5	′	′	PROPN
ejpam-701	299	6	h[ω	h[ω	PROPN
ejpam-701	299	7	,	,	PUNCT
ejpam-701	299	8	q	q	X
ejpam-701	299	9	]	]	X
ejpam-701	299	10	.	.	PUNCT
ejpam-701	300	1	if	if	SCONJ
ejpam-701	300	2	f	f	PROPN
ejpam-701	300	3	(	(	PUNCT
ejpam-701	300	4	z	z	NOUN
ejpam-701	300	5	)	)	PUNCT
ejpam-701	300	6	∈	∈	PROPN
ejpam-701	300	7	∑	∑	PUNCT
ejpam-701	300	8	(	(	PUNCT
ejpam-701	300	9	p	p	NOUN
ejpam-701	300	10	)	)	PUNCT
ejpam-701	300	11	,	,	PUNCT
ejpam-701	300	12	zp	zp	PROPN
ejpam-701	301	1	i	i	PRON
ejpam-701	301	2	m	m	VERB
ejpam-701	301	3	p	p	X
ejpam-701	301	4	(	(	PUNCT
ejpam-701	301	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	301	6	)	)	PUNCT
ejpam-701	301	7	f	f	NOUN
ejpam-701	301	8	(	(	PUNCT
ejpam-701	301	9	z	z	NOUN
ejpam-701	301	10	)	)	PUNCT
ejpam-701	301	11	∈	∈	NOUN
ejpam-701	301	12	d1	d1	NOUN
ejpam-701	301	13	and	and	CCONJ
ejpam-701	301	14	ϕ	ϕ	X
ejpam-701	301	15	�	�	PROPN
ejpam-701	301	16	zp	zp	PROPN
ejpam-701	302	1	i	i	PRON
ejpam-701	302	2	m	m	VERB
ejpam-701	302	3	p	p	X
ejpam-701	302	4	(	(	PUNCT
ejpam-701	302	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	302	6	)	)	PUNCT
ejpam-701	302	7	f	f	NOUN
ejpam-701	302	8	(	(	PUNCT
ejpam-701	302	9	z	z	NOUN
ejpam-701	302	10	)	)	PUNCT
ejpam-701	302	11	,	,	PUNCT
ejpam-701	302	12	zp	zp	X
ejpam-701	302	13	im+1	im+1	PROPN
ejpam-701	302	14	p	p	X
ejpam-701	302	15	(	(	PUNCT
ejpam-701	302	16	λ,ℓ	λ,ℓ	NOUN
ejpam-701	302	17	)	)	PUNCT
ejpam-701	302	18	f	f	NOUN
ejpam-701	302	19	(	(	PUNCT
ejpam-701	302	20	z	z	NOUN
ejpam-701	302	21	)	)	PUNCT
ejpam-701	302	22	,	,	PUNCT
ejpam-701	302	23	zp	zp	PROPN
ejpam-701	303	1	im+2	im+2	PROPN
ejpam-701	303	2	p	p	X
ejpam-701	303	3	(	(	PUNCT
ejpam-701	303	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	303	5	)	)	PUNCT
ejpam-701	303	6	f	f	NOUN
ejpam-701	303	7	(	(	PUNCT
ejpam-701	303	8	z	z	NOUN
ejpam-701	303	9	)	)	PUNCT
ejpam-701	303	10	;	;	PUNCT
ejpam-701	303	11	z	z	PROPN
ejpam-701	303	12	�	�	PROPN
ejpam-701	303	13	is	be	AUX
ejpam-701	303	14	univalent	univalent	ADJ
ejpam-701	303	15	in	in	ADP
ejpam-701	303	16	u	u	NOUN
ejpam-701	303	17	,	,	PUNCT
ejpam-701	303	18	then	then	ADV
ejpam-701	303	19	ω⊂	ω⊂	PROPN
ejpam-701	303	20	n	n	PROPN
ejpam-701	303	21	ϕ	ϕ	PROPN
ejpam-701	303	22	�	�	PROPN
ejpam-701	303	23	zp	zp	PROPN
ejpam-701	304	1	i	i	PRON
ejpam-701	304	2	m	m	VERB
ejpam-701	304	3	p	p	X
ejpam-701	304	4	(	(	PUNCT
ejpam-701	304	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	304	6	)	)	PUNCT
ejpam-701	304	7	f	f	NOUN
ejpam-701	304	8	(	(	PUNCT
ejpam-701	304	9	z	z	NOUN
ejpam-701	304	10	)	)	PUNCT
ejpam-701	304	11	,	,	PUNCT
ejpam-701	304	12	zp	zp	PROPN
ejpam-701	304	13	im+1	im+1	PROPN
ejpam-701	304	14	p	p	X
ejpam-701	304	15	(	(	PUNCT
ejpam-701	304	16	λ,ℓ	λ,ℓ	NOUN
ejpam-701	304	17	)	)	PUNCT
ejpam-701	304	18	f	f	NOUN
ejpam-701	304	19	(	(	PUNCT
ejpam-701	304	20	z	z	NOUN
ejpam-701	304	21	)	)	PUNCT
ejpam-701	304	22	,	,	PUNCT
ejpam-701	304	23	zp	zp	PROPN
ejpam-701	305	1	im+2	im+2	PROPN
ejpam-701	305	2	p	p	X
ejpam-701	305	3	(	(	PUNCT
ejpam-701	305	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	305	5	)	)	PUNCT
ejpam-701	305	6	f	f	NOUN
ejpam-701	305	7	(	(	PUNCT
ejpam-701	305	8	z	z	NOUN
ejpam-701	305	9	)	)	PUNCT
ejpam-701	305	10	;	;	PUNCT
ejpam-701	305	11	z	z	PROPN
ejpam-701	305	12	�	�	PROPN
ejpam-701	305	13	:	:	PUNCT
ejpam-701	306	1	z	z	PROPN
ejpam-701	306	2	∈	∈	PROPN
ejpam-701	306	3	u	u	X
ejpam-701	306	4	o	o	X
ejpam-701	306	5	(	(	PUNCT
ejpam-701	306	6	29	29	NUM
ejpam-701	306	7	)	)	PUNCT
ejpam-701	306	8	implies	imply	VERB
ejpam-701	306	9	q(z	q(z	PROPN
ejpam-701	306	10	)	)	PUNCT
ejpam-701	306	11	≺	≺	NOUN
ejpam-701	306	12	zp	zp	VERB
ejpam-701	307	1	i	i	PRON
ejpam-701	307	2	m	m	VERB
ejpam-701	307	3	p	p	X
ejpam-701	307	4	(	(	PUNCT
ejpam-701	307	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	307	6	)	)	PUNCT
ejpam-701	307	7	f	f	NOUN
ejpam-701	307	8	(	(	PUNCT
ejpam-701	307	9	z	z	NOUN
ejpam-701	307	10	)	)	PUNCT
ejpam-701	307	11	.	.	PUNCT
ejpam-701	308	1	proof	proof	NOUN
ejpam-701	308	2	.	.	PUNCT
ejpam-701	309	1	let	let	VERB
ejpam-701	309	2	p(z	p(z	NOUN
ejpam-701	309	3	)	)	PUNCT
ejpam-701	309	4	defined	define	VERB
ejpam-701	309	5	by	by	ADP
ejpam-701	309	6	(	(	PUNCT
ejpam-701	309	7	10	10	NUM
ejpam-701	309	8	)	)	PUNCT
ejpam-701	309	9	and	and	CCONJ
ejpam-701	309	10	ψ(z	ψ(z	PROPN
ejpam-701	309	11	)	)	PUNCT
ejpam-701	309	12	defined	define	VERB
ejpam-701	309	13	by	by	ADP
ejpam-701	309	14	(	(	PUNCT
ejpam-701	309	15	15	15	NUM
ejpam-701	309	16	)	)	PUNCT
ejpam-701	309	17	.	.	PUNCT
ejpam-701	310	1	since	since	SCONJ
ejpam-701	310	2	ϕ	ϕ	PROPN
ejpam-701	310	3	∈	∈	PROPN
ejpam-701	310	4	φ	φ	PROPN
ejpam-701	310	5	′	′	PROPN
ejpam-701	310	6	h[ω	h[ω	PROPN
ejpam-701	310	7	,	,	PUNCT
ejpam-701	310	8	q	q	X
ejpam-701	310	9	]	]	X
ejpam-701	310	10	,	,	PUNCT
ejpam-701	310	11	from	from	ADP
ejpam-701	310	12	(	(	PUNCT
ejpam-701	310	13	15	15	NUM
ejpam-701	310	14	)	)	PUNCT
ejpam-701	310	15	and	and	CCONJ
ejpam-701	310	16	(	(	PUNCT
ejpam-701	310	17	29	29	NUM
ejpam-701	310	18	)	)	PUNCT
ejpam-701	310	19	,	,	PUNCT
ejpam-701	310	20	we	we	PRON
ejpam-701	310	21	have	have	VERB
ejpam-701	310	22	ω⊂	ω⊂	PROPN
ejpam-701	310	23	¦	¦	PROPN
ejpam-701	310	24	ψ(p(z	ψ(p(z	PROPN
ejpam-701	310	25	)	)	PUNCT
ejpam-701	310	26	,	,	PUNCT
ejpam-701	311	1	zp	zp	NOUN
ejpam-701	311	2	′	′	NUM
ejpam-701	312	1	(	(	PUNCT
ejpam-701	312	2	z	z	NOUN
ejpam-701	312	3	)	)	PUNCT
ejpam-701	312	4	,	,	PUNCT
ejpam-701	313	1	z2p	z2p	PROPN
ejpam-701	313	2	′′	′′	PROPN
ejpam-701	313	3	(	(	PUNCT
ejpam-701	313	4	z	z	PROPN
ejpam-701	313	5	)	)	PUNCT
ejpam-701	313	6	;	;	PUNCT
ejpam-701	313	7	z	z	X
ejpam-701	313	8	)	)	PUNCT
ejpam-701	313	9	:	:	PUNCT
ejpam-701	313	10	z	z	PROPN
ejpam-701	313	11	∈	∈	PROPN
ejpam-701	313	12	u	u	NOUN
ejpam-701	313	13	©	©	PROPN
ejpam-701	313	14	.	.	PUNCT
ejpam-701	314	1	from	from	ADP
ejpam-701	314	2	(	(	PUNCT
ejpam-701	314	3	14	14	NUM
ejpam-701	314	4	)	)	PUNCT
ejpam-701	314	5	,	,	PUNCT
ejpam-701	314	6	we	we	PRON
ejpam-701	314	7	see	see	VERB
ejpam-701	314	8	that	that	SCONJ
ejpam-701	314	9	the	the	DET
ejpam-701	314	10	admissibility	admissibility	NOUN
ejpam-701	314	11	condition	condition	NOUN
ejpam-701	314	12	for	for	ADP
ejpam-701	314	13	ϕ	ϕ	PROPN
ejpam-701	314	14	∈	∈	PROPN
ejpam-701	314	15	φ	φ	PROPN
ejpam-701	314	16	′	′	PROPN
ejpam-701	314	17	h[ω	h[ω	PROPN
ejpam-701	314	18	,	,	PUNCT
ejpam-701	314	19	q	q	X
ejpam-701	314	20	]	]	X
ejpam-701	314	21	is	be	AUX
ejpam-701	314	22	equivalent	equivalent	ADJ
ejpam-701	314	23	to	to	ADP
ejpam-701	314	24	the	the	DET
ejpam-701	314	25	admissibility	admissibility	NOUN
ejpam-701	314	26	condition	condition	NOUN
ejpam-701	314	27	for	for	ADP
ejpam-701	314	28	ψ	ψ	PRON
ejpam-701	314	29	as	as	SCONJ
ejpam-701	314	30	given	give	VERB
ejpam-701	314	31	in	in	ADP
ejpam-701	314	32	definition	definition	NOUN
ejpam-701	314	33	2	2	NUM
ejpam-701	314	34	.	.	PUNCT
ejpam-701	314	35	hence	hence	ADV
ejpam-701	314	36	ψ	ψ	X
ejpam-701	314	37	∈	∈	NOUN
ejpam-701	314	38	ψ	ψ	X
ejpam-701	314	39	′	′	NUM
ejpam-701	315	1	[	[	X
ejpam-701	315	2	ω	ω	NUM
ejpam-701	315	3	,	,	PUNCT
ejpam-701	315	4	q	q	X
ejpam-701	315	5	]	]	X
ejpam-701	315	6	,	,	PUNCT
ejpam-701	315	7	and	and	CCONJ
ejpam-701	315	8	by	by	ADP
ejpam-701	315	9	lemma	lemma	PROPN
ejpam-701	315	10	2	2	NUM
ejpam-701	315	11	,	,	PUNCT
ejpam-701	315	12	q(z)≺	q(z)≺	ADP
ejpam-701	315	13	p(z	p(z	NOUN
ejpam-701	315	14	)	)	PUNCT
ejpam-701	315	15	or	or	CCONJ
ejpam-701	315	16	q(z	q(z	PROPN
ejpam-701	315	17	)	)	PUNCT
ejpam-701	315	18	≺	≺	NOUN
ejpam-701	315	19	zp	zp	VERB
ejpam-701	316	1	i	i	PRON
ejpam-701	316	2	m	m	VERB
ejpam-701	316	3	p	p	X
ejpam-701	316	4	(	(	PUNCT
ejpam-701	316	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	316	6	)	)	PUNCT
ejpam-701	316	7	f	f	NOUN
ejpam-701	316	8	(	(	PUNCT
ejpam-701	316	9	z	z	NOUN
ejpam-701	316	10	)	)	PUNCT
ejpam-701	316	11	.	.	PUNCT
ejpam-701	317	1	if	if	SCONJ
ejpam-701	317	2	ω	ω	PROPN
ejpam-701	317	3	6=	6=	PROPN
ejpam-701	317	4	c	c	PROPN
ejpam-701	317	5	is	be	AUX
ejpam-701	317	6	a	a	DET
ejpam-701	317	7	simply	simply	ADV
ejpam-701	317	8	connected	connected	ADJ
ejpam-701	317	9	domain	domain	NOUN
ejpam-701	317	10	,	,	PUNCT
ejpam-701	317	11	then	then	ADV
ejpam-701	317	12	ω	ω	PROPN
ejpam-701	317	13	=	=	SYM
ejpam-701	317	14	h(u	h(u	PROPN
ejpam-701	317	15	)	)	PUNCT
ejpam-701	317	16	for	for	ADP
ejpam-701	317	17	some	some	DET
ejpam-701	317	18	conformal	conformal	ADJ
ejpam-701	317	19	mapping	map	VERB
ejpam-701	317	20	h(z	h(z	NOUN
ejpam-701	317	21	)	)	PUNCT
ejpam-701	317	22	for	for	ADP
ejpam-701	317	23	u	u	NOUN
ejpam-701	317	24	onto	onto	ADP
ejpam-701	317	25	ω	ω	NUM
ejpam-701	317	26	.	.	PUNCT
ejpam-701	318	1	in	in	ADP
ejpam-701	318	2	this	this	DET
ejpam-701	318	3	case	case	NOUN
ejpam-701	318	4	the	the	DET
ejpam-701	318	5	class	class	NOUN
ejpam-701	318	6	φ	φ	PROPN
ejpam-701	318	7	′	′	PROPN
ejpam-701	318	8	h[h(u),q	h[h(u),q	PROPN
ejpam-701	318	9	]	]	PUNCT
ejpam-701	318	10	is	be	AUX
ejpam-701	318	11	written	write	VERB
ejpam-701	318	12	as	as	ADP
ejpam-701	318	13	φ	φ	NUM
ejpam-701	318	14	′	′	NUM
ejpam-701	318	15	h[h	h[h	NOUN
ejpam-701	318	16	,	,	PUNCT
ejpam-701	318	17	q	q	NOUN
ejpam-701	318	18	]	]	X
ejpam-701	318	19	.	.	PUNCT
ejpam-701	319	1	proceeding	proceed	VERB
ejpam-701	319	2	similarly	similarly	ADV
ejpam-701	319	3	as	as	ADP
ejpam-701	319	4	in	in	ADP
ejpam-701	319	5	section	section	NOUN
ejpam-701	319	6	2	2	NUM
ejpam-701	319	7	,	,	PUNCT
ejpam-701	319	8	the	the	DET
ejpam-701	319	9	following	following	ADJ
ejpam-701	319	10	result	result	NOUN
ejpam-701	319	11	is	be	AUX
ejpam-701	319	12	an	an	DET
ejpam-701	319	13	immediate	immediate	ADJ
ejpam-701	319	14	consequence	consequence	NOUN
ejpam-701	319	15	of	of	ADP
ejpam-701	319	16	theorem	theorem	ADJ
ejpam-701	319	17	7	7	NUM
ejpam-701	319	18	.	.	PUNCT
ejpam-701	319	19	theorem	theorem	NOUN
ejpam-701	319	20	8	8	NUM
ejpam-701	319	21	.	.	PUNCT
ejpam-701	320	1	let	let	VERB
ejpam-701	320	2	q(z	q(z	NUM
ejpam-701	320	3	)	)	PUNCT
ejpam-701	320	4	∈	∈	PROPN
ejpam-701	320	5	h	h	NOUN
ejpam-701	320	6	,	,	PUNCT
ejpam-701	320	7	h(z	h(z	NOUN
ejpam-701	320	8	)	)	PUNCT
ejpam-701	320	9	is	be	AUX
ejpam-701	320	10	analytic	analytic	ADJ
ejpam-701	320	11	on	on	ADP
ejpam-701	320	12	u	u	NOUN
ejpam-701	320	13	and	and	CCONJ
ejpam-701	320	14	ϕ	ϕ	PROPN
ejpam-701	320	15	∈	∈	PROPN
ejpam-701	320	16	φ	φ	NUM
ejpam-701	320	17	′	′	NUM
ejpam-701	320	18	h[h	h[h	NOUN
ejpam-701	320	19	,	,	PUNCT
ejpam-701	320	20	q	q	NOUN
ejpam-701	320	21	]	]	X
ejpam-701	320	22	.	.	PUNCT
ejpam-701	321	1	if	if	SCONJ
ejpam-701	321	2	f	f	PROPN
ejpam-701	321	3	(	(	PUNCT
ejpam-701	321	4	z	z	NOUN
ejpam-701	321	5	)	)	PUNCT
ejpam-701	321	6	∈	∈	PROPN
ejpam-701	321	7	∑	∑	PUNCT
ejpam-701	321	8	(	(	PUNCT
ejpam-701	321	9	p	p	NOUN
ejpam-701	321	10	)	)	PUNCT
ejpam-701	321	11	,	,	PUNCT
ejpam-701	321	12	zp	zp	PROPN
ejpam-701	322	1	i	i	PRON
ejpam-701	322	2	m	m	VERB
ejpam-701	322	3	p	p	X
ejpam-701	322	4	(	(	PUNCT
ejpam-701	322	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	322	6	)	)	PUNCT
ejpam-701	322	7	f	f	NOUN
ejpam-701	322	8	(	(	PUNCT
ejpam-701	322	9	z	z	NOUN
ejpam-701	322	10	)	)	PUNCT
ejpam-701	322	11	∈	∈	NOUN
ejpam-701	322	12	d1	d1	PROPN
ejpam-701	322	13	and	and	CCONJ
ejpam-701	322	14	ϕ(zp	ϕ(zp	PROPN
ejpam-701	323	1	i	i	PRON
ejpam-701	323	2	m	m	VERB
ejpam-701	323	3	p	p	X
ejpam-701	323	4	(	(	PUNCT
ejpam-701	323	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	323	6	)	)	PUNCT
ejpam-701	323	7	f	f	NOUN
ejpam-701	323	8	(	(	PUNCT
ejpam-701	323	9	z	z	NOUN
ejpam-701	323	10	)	)	PUNCT
ejpam-701	323	11	,	,	PUNCT
ejpam-701	323	12	zp	zp	PROPN
ejpam-701	323	13	im+1	im+1	PROPN
ejpam-701	323	14	p	p	X
ejpam-701	323	15	(	(	PUNCT
ejpam-701	323	16	λ,ℓ	λ,ℓ	NOUN
ejpam-701	323	17	)	)	PUNCT
ejpam-701	323	18	f	f	NOUN
ejpam-701	323	19	(	(	PUNCT
ejpam-701	323	20	z	z	NOUN
ejpam-701	323	21	)	)	PUNCT
ejpam-701	323	22	,	,	PUNCT
ejpam-701	323	23	zp	zp	PROPN
ejpam-701	324	1	im+2	im+2	PROPN
ejpam-701	324	2	p	p	X
ejpam-701	324	3	(	(	PUNCT
ejpam-701	324	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	324	5	)	)	PUNCT
ejpam-701	324	6	f	f	NOUN
ejpam-701	324	7	(	(	PUNCT
ejpam-701	324	8	z	z	NOUN
ejpam-701	324	9	)	)	PUNCT
ejpam-701	324	10	;	;	PUNCT
ejpam-701	324	11	z)is	z)is	ADJ
ejpam-701	324	12	univalent	univalent	ADJ
ejpam-701	324	13	in	in	ADP
ejpam-701	324	14	u	u	NOUN
ejpam-701	324	15	,	,	PUNCT
ejpam-701	324	16	then	then	ADV
ejpam-701	324	17	h(z)≺	h(z)≺	PROPN
ejpam-701	324	18	ϕ(zp	ϕ(zp	PROPN
ejpam-701	324	19	i	i	PRON
ejpam-701	324	20	m	m	VERB
ejpam-701	324	21	p	p	X
ejpam-701	324	22	(	(	PUNCT
ejpam-701	324	23	λ,ℓ	λ,ℓ	NOUN
ejpam-701	324	24	)	)	PUNCT
ejpam-701	324	25	f	f	NOUN
ejpam-701	324	26	(	(	PUNCT
ejpam-701	324	27	z	z	NOUN
ejpam-701	324	28	)	)	PUNCT
ejpam-701	324	29	,	,	PUNCT
ejpam-701	324	30	zp	zp	PROPN
ejpam-701	324	31	im+1	im+1	PROPN
ejpam-701	324	32	p	p	X
ejpam-701	324	33	(	(	PUNCT
ejpam-701	324	34	λ,ℓ	λ,ℓ	NOUN
ejpam-701	324	35	)	)	PUNCT
ejpam-701	324	36	f	f	NOUN
ejpam-701	324	37	(	(	PUNCT
ejpam-701	324	38	z	z	NOUN
ejpam-701	324	39	)	)	PUNCT
ejpam-701	324	40	,	,	PUNCT
ejpam-701	324	41	zp	zp	PROPN
ejpam-701	324	42	im+2	im+2	PROPN
ejpam-701	324	43	p	p	X
ejpam-701	324	44	(	(	PUNCT
ejpam-701	324	45	λ,ℓ	λ,ℓ	NOUN
ejpam-701	324	46	)	)	PUNCT
ejpam-701	324	47	f	f	NOUN
ejpam-701	324	48	(	(	PUNCT
ejpam-701	324	49	z	z	NOUN
ejpam-701	324	50	)	)	PUNCT
ejpam-701	324	51	;	;	PUNCT
ejpam-701	324	52	z	z	X
ejpam-701	324	53	)	)	PUNCT
ejpam-701	324	54	(	(	PUNCT
ejpam-701	324	55	30	30	NUM
ejpam-701	324	56	)	)	PUNCT
ejpam-701	324	57	implies	imply	VERB
ejpam-701	324	58	q(z	q(z	PROPN
ejpam-701	324	59	)	)	PUNCT
ejpam-701	324	60	≺	≺	NOUN
ejpam-701	324	61	zp	zp	VERB
ejpam-701	325	1	i	i	PRON
ejpam-701	325	2	m	m	VERB
ejpam-701	325	3	p	p	X
ejpam-701	325	4	(	(	PUNCT
ejpam-701	325	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	325	6	)	)	PUNCT
ejpam-701	325	7	f	f	NOUN
ejpam-701	325	8	(	(	PUNCT
ejpam-701	325	9	z	z	NOUN
ejpam-701	325	10	)	)	PUNCT
ejpam-701	325	11	.	.	PUNCT
ejpam-701	326	1	theorem	theorem	VERB
ejpam-701	326	2	7	7	NUM
ejpam-701	326	3	and	and	CCONJ
ejpam-701	326	4	theorem	theorem	VERB
ejpam-701	326	5	8	8	NUM
ejpam-701	326	6	can	can	AUX
ejpam-701	326	7	only	only	ADV
ejpam-701	326	8	be	be	AUX
ejpam-701	326	9	used	use	VERB
ejpam-701	326	10	to	to	PART
ejpam-701	326	11	obtain	obtain	VERB
ejpam-701	326	12	subordinants	subordinant	NOUN
ejpam-701	326	13	of	of	ADP
ejpam-701	326	14	differential	differential	ADJ
ejpam-701	326	15	superordination	superordination	NOUN
ejpam-701	326	16	of	of	ADP
ejpam-701	326	17	the	the	DET
ejpam-701	326	18	form	form	NOUN
ejpam-701	326	19	(	(	PUNCT
ejpam-701	326	20	29	29	NUM
ejpam-701	326	21	)	)	PUNCT
ejpam-701	326	22	or	or	CCONJ
ejpam-701	326	23	(	(	PUNCT
ejpam-701	326	24	30	30	NUM
ejpam-701	326	25	)	)	PUNCT
ejpam-701	326	26	.	.	PUNCT
ejpam-701	327	1	the	the	DET
ejpam-701	327	2	following	follow	VERB
ejpam-701	327	3	theorem	theorem	NOUN
ejpam-701	327	4	proves	prove	VERB
ejpam-701	327	5	the	the	DET
ejpam-701	327	6	existence	existence	NOUN
ejpam-701	327	7	of	of	ADP
ejpam-701	327	8	the	the	DET
ejpam-701	327	9	best	good	ADJ
ejpam-701	327	10	subordinant	subordinant	NOUN
ejpam-701	327	11	of	of	ADP
ejpam-701	327	12	(	(	PUNCT
ejpam-701	327	13	30	30	NUM
ejpam-701	327	14	)	)	PUNCT
ejpam-701	327	15	for	for	ADP
ejpam-701	327	16	certain	certain	ADJ
ejpam-701	327	17	ϕ.	ϕ.	PROPN
ejpam-701	327	18	theorem	theorem	PROPN
ejpam-701	327	19	9	9	X
ejpam-701	327	20	.	.	PUNCT
ejpam-701	328	1	let	let	VERB
ejpam-701	328	2	h(z	h(z	NOUN
ejpam-701	328	3	)	)	PUNCT
ejpam-701	328	4	be	be	AUX
ejpam-701	328	5	analytic	analytic	ADJ
ejpam-701	328	6	in	in	ADP
ejpam-701	328	7	u	u	NOUN
ejpam-701	328	8	and	and	CCONJ
ejpam-701	328	9	ϕ	ϕ	NOUN
ejpam-701	328	10	:	:	PUNCT
ejpam-701	328	11	c3	c3	PROPN
ejpam-701	328	12	×	×	PROPN
ejpam-701	328	13	u	u	PROPN
ejpam-701	328	14	→	→	PROPN
ejpam-701	328	15	c.	c.	PROPN
ejpam-701	328	16	suppose	suppose	VERB
ejpam-701	328	17	that	that	SCONJ
ejpam-701	328	18	the	the	DET
ejpam-701	328	19	differential	differential	ADJ
ejpam-701	328	20	equation	equation	NOUN
ejpam-701	328	21	ϕ	ϕ	PROPN
ejpam-701	328	22			PROPN
ejpam-701	328	23			NOUN
ejpam-701	328	24	p(z	p(z	PROPN
ejpam-701	328	25	)	)	PUNCT
ejpam-701	328	26	,	,	PUNCT
ejpam-701	328	27	zp	zp	NOUN
ejpam-701	328	28	′	′	NUM
ejpam-701	328	29	(	(	PUNCT
ejpam-701	328	30	z	z	NOUN
ejpam-701	328	31	)	)	PUNCT
ejpam-701	328	32	+	+	CCONJ
ejpam-701	328	33	�	�	PROPN
ejpam-701	328	34	ℓ	ℓ	PROPN
ejpam-701	328	35	λ	λ	PROPN
ejpam-701	328	36	�	�	PROPN
ejpam-701	328	37	p(z	p(z	PROPN
ejpam-701	328	38	)	)	PUNCT
ejpam-701	328	39	�	�	PROPN
ejpam-701	328	40	ℓ	ℓ	PROPN
ejpam-701	328	41	λ	λ	PROPN
ejpam-701	328	42	�	�	PROPN
ejpam-701	328	43	,	,	PUNCT
ejpam-701	328	44	z2p	z2p	PROPN
ejpam-701	328	45	′′	′′	PROPN
ejpam-701	328	46	(	(	PUNCT
ejpam-701	328	47	z	z	NOUN
ejpam-701	328	48	)	)	PUNCT
ejpam-701	328	49	+	+	CCONJ
ejpam-701	328	50	�	�	PROPN
ejpam-701	328	51	2	2	NUM
ejpam-701	328	52	�	�	PROPN
ejpam-701	328	53	ℓ	ℓ	PROPN
ejpam-701	328	54	λ	λ	PROPN
ejpam-701	328	55	�	�	PROPN
ejpam-701	328	56	+	+	CCONJ
ejpam-701	328	57	1	1	NUM
ejpam-701	328	58	�	�	PROPN
ejpam-701	328	59	zp	zp	NOUN
ejpam-701	328	60	′	′	NUM
ejpam-701	328	61	(	(	PUNCT
ejpam-701	328	62	z	z	NOUN
ejpam-701	328	63	)	)	PUNCT
ejpam-701	328	64	+	+	CCONJ
ejpam-701	328	65	�	�	PROPN
ejpam-701	328	66	ℓ	ℓ	PROPN
ejpam-701	328	67	λ	λ	PROPN
ejpam-701	328	68	�	�	PROPN
ejpam-701	328	69	2	2	NUM
ejpam-701	328	70	p(z	p(z	NOUN
ejpam-701	328	71	)	)	PUNCT
ejpam-701	328	72	�	�	PROPN
ejpam-701	328	73	ℓ	ℓ	PROPN
ejpam-701	328	74	λ	λ	PROPN
ejpam-701	328	75	�	�	PROPN
ejpam-701	328	76	2	2	NUM
ejpam-701	328	77	;	;	PUNCT
ejpam-701	328	78	z	z	NOUN
ejpam-701	328	79			NOUN
ejpam-701	328	80			VERB
ejpam-701	328	81			PUNCT
ejpam-701	329	1	=	=	SYM
ejpam-701	329	2	h(z	h(z	NOUN
ejpam-701	329	3	)	)	PUNCT
ejpam-701	329	4	(	(	PUNCT
ejpam-701	329	5	31	31	NUM
ejpam-701	329	6	)	)	PUNCT
ejpam-701	329	7	r.	r.	PROPN
ejpam-701	329	8	el	el	PROPN
ejpam-701	329	9	-	-	PUNCT
ejpam-701	329	10	ashwah	ashwah	NOUN
ejpam-701	329	11	,	,	PUNCT
ejpam-701	329	12	m.	m.	NOUN
ejpam-701	329	13	aouf	aouf	PROPN
ejpam-701	329	14	/	/	SYM
ejpam-701	329	15	eur	eur	PROPN
ejpam-701	329	16	.	.	PUNCT
ejpam-701	330	1	j.	j.	PROPN
ejpam-701	330	2	pure	pure	PROPN
ejpam-701	330	3	appl	appl	PROPN
ejpam-701	330	4	.	.	PROPN
ejpam-701	330	5	math	math	PROPN
ejpam-701	330	6	,	,	PUNCT
ejpam-701	330	7	3	3	NUM
ejpam-701	330	8	(	(	PUNCT
ejpam-701	330	9	2010	2010	NUM
ejpam-701	330	10	)	)	PUNCT
ejpam-701	330	11	,	,	PUNCT
ejpam-701	330	12	1070	1070	NUM
ejpam-701	330	13	-	-	SYM
ejpam-701	330	14	1085	1085	NUM
ejpam-701	330	15	1082	1082	NUM
ejpam-701	330	16	has	have	VERB
ejpam-701	330	17	a	a	DET
ejpam-701	330	18	solution	solution	NOUN
ejpam-701	330	19	q(z	q(z	PROPN
ejpam-701	330	20	)	)	PUNCT
ejpam-701	330	21	∈	∈	NOUN
ejpam-701	330	22	d1	d1	NOUN
ejpam-701	330	23	.	.	PUNCT
ejpam-701	331	1	if	if	SCONJ
ejpam-701	331	2	ϕ	ϕ	PROPN
ejpam-701	331	3	∈	∈	PROPN
ejpam-701	331	4	φ	φ	NUM
ejpam-701	331	5	′	′	NUM
ejpam-701	331	6	h[h	h[h	NOUN
ejpam-701	331	7	,	,	PUNCT
ejpam-701	331	8	q	q	NOUN
ejpam-701	331	9	]	]	X
ejpam-701	331	10	,	,	PUNCT
ejpam-701	331	11	f	f	PROPN
ejpam-701	331	12	(	(	PUNCT
ejpam-701	331	13	z	z	NOUN
ejpam-701	331	14	)	)	PUNCT
ejpam-701	331	15	∈	∈	PROPN
ejpam-701	331	16	∑	∑	PUNCT
ejpam-701	331	17	(	(	PUNCT
ejpam-701	331	18	p	p	NOUN
ejpam-701	331	19	)	)	PUNCT
ejpam-701	331	20	,	,	PUNCT
ejpam-701	331	21	zp	zp	PROPN
ejpam-701	332	1	i	i	PRON
ejpam-701	332	2	m	m	VERB
ejpam-701	332	3	p	p	X
ejpam-701	332	4	(	(	PUNCT
ejpam-701	332	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	332	6	)	)	PUNCT
ejpam-701	332	7	f	f	NOUN
ejpam-701	332	8	(	(	PUNCT
ejpam-701	332	9	z	z	NOUN
ejpam-701	332	10	)	)	PUNCT
ejpam-701	332	11	∈	∈	NOUN
ejpam-701	332	12	d1	d1	NOUN
ejpam-701	332	13	and	and	CCONJ
ejpam-701	332	14	ϕ	ϕ	X
ejpam-701	332	15	�	�	PROPN
ejpam-701	332	16	zp	zp	PROPN
ejpam-701	333	1	i	i	PRON
ejpam-701	333	2	m	m	VERB
ejpam-701	333	3	p	p	X
ejpam-701	333	4	(	(	PUNCT
ejpam-701	333	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	333	6	)	)	PUNCT
ejpam-701	333	7	f	f	NOUN
ejpam-701	333	8	(	(	PUNCT
ejpam-701	333	9	z	z	NOUN
ejpam-701	333	10	)	)	PUNCT
ejpam-701	333	11	,	,	PUNCT
ejpam-701	333	12	zp	zp	PROPN
ejpam-701	333	13	im+1	im+1	PROPN
ejpam-701	333	14	p	p	X
ejpam-701	333	15	(	(	PUNCT
ejpam-701	333	16	λ,ℓ	λ,ℓ	NOUN
ejpam-701	333	17	)	)	PUNCT
ejpam-701	333	18	f	f	NOUN
ejpam-701	333	19	(	(	PUNCT
ejpam-701	333	20	z	z	NOUN
ejpam-701	333	21	)	)	PUNCT
ejpam-701	333	22	,	,	PUNCT
ejpam-701	333	23	zp	zp	PROPN
ejpam-701	334	1	im+2	im+2	PROPN
ejpam-701	334	2	p	p	X
ejpam-701	334	3	(	(	PUNCT
ejpam-701	334	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	334	5	)	)	PUNCT
ejpam-701	334	6	f	f	NOUN
ejpam-701	334	7	(	(	PUNCT
ejpam-701	334	8	z	z	NOUN
ejpam-701	334	9	)	)	PUNCT
ejpam-701	334	10	;	;	PUNCT
ejpam-701	334	11	z	z	PROPN
ejpam-701	334	12	�	�	PROPN
ejpam-701	334	13	is	be	AUX
ejpam-701	334	14	univalent	univalent	ADJ
ejpam-701	334	15	in	in	ADP
ejpam-701	334	16	u	u	NOUN
ejpam-701	334	17	,	,	PUNCT
ejpam-701	334	18	then	then	ADV
ejpam-701	334	19	h(z	h(z	NOUN
ejpam-701	334	20	)	)	PUNCT
ejpam-701	334	21	≺	≺	NOUN
ejpam-701	334	22	ϕ	ϕ	PROPN
ejpam-701	334	23	�	�	PROPN
ejpam-701	334	24	zp	zp	PROPN
ejpam-701	335	1	i	i	PRON
ejpam-701	335	2	m	m	VERB
ejpam-701	335	3	p	p	X
ejpam-701	335	4	(	(	PUNCT
ejpam-701	335	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	335	6	)	)	PUNCT
ejpam-701	335	7	f	f	NOUN
ejpam-701	335	8	(	(	PUNCT
ejpam-701	335	9	z	z	NOUN
ejpam-701	335	10	)	)	PUNCT
ejpam-701	335	11	,	,	PUNCT
ejpam-701	335	12	zp	zp	PROPN
ejpam-701	335	13	im+1	im+1	PROPN
ejpam-701	335	14	p	p	X
ejpam-701	335	15	(	(	PUNCT
ejpam-701	335	16	λ,ℓ	λ,ℓ	NOUN
ejpam-701	335	17	)	)	PUNCT
ejpam-701	335	18	f	f	NOUN
ejpam-701	335	19	(	(	PUNCT
ejpam-701	335	20	z	z	NOUN
ejpam-701	335	21	)	)	PUNCT
ejpam-701	335	22	,	,	PUNCT
ejpam-701	335	23	zp	zp	PROPN
ejpam-701	336	1	im+2	im+2	PROPN
ejpam-701	336	2	p	p	X
ejpam-701	336	3	(	(	PUNCT
ejpam-701	336	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	336	5	)	)	PUNCT
ejpam-701	336	6	f	f	NOUN
ejpam-701	336	7	(	(	PUNCT
ejpam-701	336	8	z	z	NOUN
ejpam-701	336	9	)	)	PUNCT
ejpam-701	336	10	;	;	PUNCT
ejpam-701	336	11	z	z	PROPN
ejpam-701	336	12	�	�	PROPN
ejpam-701	336	13	implies	imply	VERB
ejpam-701	336	14	q(z	q(z	PROPN
ejpam-701	336	15	)	)	PUNCT
ejpam-701	336	16	≺	≺	NOUN
ejpam-701	336	17	zp	zp	VERB
ejpam-701	337	1	i	i	PRON
ejpam-701	337	2	m	m	VERB
ejpam-701	337	3	p	p	X
ejpam-701	337	4	(	(	PUNCT
ejpam-701	337	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	337	6	)	)	PUNCT
ejpam-701	337	7	f	f	NOUN
ejpam-701	337	8	(	(	PUNCT
ejpam-701	337	9	z	z	NOUN
ejpam-701	337	10	)	)	PUNCT
ejpam-701	337	11	and	and	CCONJ
ejpam-701	337	12	q(z	q(z	PROPN
ejpam-701	337	13	)	)	PUNCT
ejpam-701	337	14	is	be	AUX
ejpam-701	337	15	the	the	DET
ejpam-701	337	16	best	good	ADJ
ejpam-701	337	17	subordinant	subordinant	NOUN
ejpam-701	337	18	.	.	PUNCT
ejpam-701	338	1	proof	proof	NOUN
ejpam-701	338	2	.	.	PUNCT
ejpam-701	339	1	the	the	DET
ejpam-701	339	2	proof	proof	NOUN
ejpam-701	339	3	is	be	AUX
ejpam-701	339	4	similar	similar	ADJ
ejpam-701	339	5	to	to	ADP
ejpam-701	339	6	the	the	DET
ejpam-701	339	7	proof	proof	NOUN
ejpam-701	339	8	of	of	ADP
ejpam-701	339	9	theorem	theorem	NOUN
ejpam-701	339	10	4	4	NUM
ejpam-701	339	11	and	and	CCONJ
ejpam-701	339	12	is	be	AUX
ejpam-701	339	13	therefore	therefore	ADV
ejpam-701	339	14	omitted	omit	VERB
ejpam-701	339	15	.	.	PUNCT
ejpam-701	340	1	combining	combine	VERB
ejpam-701	340	2	theorems	theorem	NOUN
ejpam-701	340	3	2	2	NUM
ejpam-701	340	4	and	and	CCONJ
ejpam-701	340	5	8	8	NUM
ejpam-701	340	6	,	,	PUNCT
ejpam-701	340	7	we	we	PRON
ejpam-701	340	8	obtain	obtain	VERB
ejpam-701	340	9	the	the	DET
ejpam-701	340	10	following	follow	VERB
ejpam-701	340	11	sandwich	sandwich	NOUN
ejpam-701	340	12	theorem	theorem	NOUN
ejpam-701	340	13	.	.	PROPN
ejpam-701	341	1	corollary	corollary	ADJ
ejpam-701	341	2	8	8	NUM
ejpam-701	341	3	.	.	PUNCT
ejpam-701	342	1	let	let	AUX
ejpam-701	342	2	h1(z	h1(z	NUM
ejpam-701	342	3	)	)	PUNCT
ejpam-701	342	4	and	and	CCONJ
ejpam-701	342	5	q1(z	q1(z	PROPN
ejpam-701	342	6	)	)	PUNCT
ejpam-701	342	7	be	be	AUX
ejpam-701	342	8	analytic	analytic	ADJ
ejpam-701	342	9	functions	function	NOUN
ejpam-701	342	10	in	in	ADP
ejpam-701	342	11	u	u	NOUN
ejpam-701	342	12	,	,	PUNCT
ejpam-701	342	13	h2(z	h2(z	X
ejpam-701	342	14	)	)	PUNCT
ejpam-701	342	15	be	be	AUX
ejpam-701	342	16	univalent	univalent	ADJ
ejpam-701	342	17	function	function	NOUN
ejpam-701	342	18	in	in	ADP
ejpam-701	342	19	u	u	NOUN
ejpam-701	342	20	,	,	PUNCT
ejpam-701	342	21	q2(z	q2(z	NOUN
ejpam-701	342	22	)	)	PUNCT
ejpam-701	342	23	∈	∈	NOUN
ejpam-701	342	24	d1	d1	NOUN
ejpam-701	342	25	with	with	ADP
ejpam-701	342	26	q1(0	q1(0	PROPN
ejpam-701	342	27	)	)	PUNCT
ejpam-701	342	28	=	=	PUNCT
ejpam-701	342	29	q2(0	q2(0	PROPN
ejpam-701	342	30	)	)	PUNCT
ejpam-701	342	31	=	=	SYM
ejpam-701	342	32	1	1	NUM
ejpam-701	342	33	and	and	CCONJ
ejpam-701	342	34	ϕ	ϕ	PROPN
ejpam-701	342	35	∈	∈	PROPN
ejpam-701	342	36	φh[h2,q2	φh[h2,q2	NOUN
ejpam-701	342	37	]	]	PUNCT
ejpam-701	342	38	∩	∩	X
ejpam-701	342	39	φ	φ	PROPN
ejpam-701	342	40	′	′	NUM
ejpam-701	342	41	h[h1,q1	h[h1,q1	PROPN
ejpam-701	342	42	]	]	PUNCT
ejpam-701	342	43	.	.	PUNCT
ejpam-701	343	1	if	if	SCONJ
ejpam-701	343	2	f	f	PROPN
ejpam-701	343	3	(	(	PUNCT
ejpam-701	343	4	z	z	NOUN
ejpam-701	343	5	)	)	PUNCT
ejpam-701	343	6	∈	∈	PROPN
ejpam-701	343	7	∑	∑	PUNCT
ejpam-701	343	8	(	(	PUNCT
ejpam-701	343	9	p	p	NOUN
ejpam-701	343	10	)	)	PUNCT
ejpam-701	343	11	,	,	PUNCT
ejpam-701	343	12	zp	zp	PROPN
ejpam-701	344	1	i	i	PRON
ejpam-701	344	2	m	m	VERB
ejpam-701	344	3	p	p	X
ejpam-701	344	4	(	(	PUNCT
ejpam-701	344	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	344	6	)	)	PUNCT
ejpam-701	344	7	f	f	NOUN
ejpam-701	344	8	(	(	PUNCT
ejpam-701	344	9	z	z	NOUN
ejpam-701	344	10	)	)	PUNCT
ejpam-701	344	11	∈	∈	PROPN
ejpam-701	344	12	h	h	NOUN
ejpam-701	344	13	∩	∩	PROPN
ejpam-701	344	14	d1	d1	PROPN
ejpam-701	344	15	and	and	CCONJ
ejpam-701	344	16	ϕ	ϕ	PROPN
ejpam-701	344	17	�	�	PROPN
ejpam-701	344	18	zp	zp	PROPN
ejpam-701	345	1	i	i	PRON
ejpam-701	345	2	m	m	VERB
ejpam-701	345	3	p	p	X
ejpam-701	345	4	(	(	PUNCT
ejpam-701	345	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	345	6	)	)	PUNCT
ejpam-701	345	7	f	f	NOUN
ejpam-701	345	8	(	(	PUNCT
ejpam-701	345	9	z	z	NOUN
ejpam-701	345	10	)	)	PUNCT
ejpam-701	345	11	,	,	PUNCT
ejpam-701	345	12	zp	zp	X
ejpam-701	345	13	im+1	im+1	PROPN
ejpam-701	345	14	p	p	X
ejpam-701	345	15	(	(	PUNCT
ejpam-701	345	16	λ,ℓ	λ,ℓ	NOUN
ejpam-701	345	17	)	)	PUNCT
ejpam-701	345	18	f	f	NOUN
ejpam-701	345	19	(	(	PUNCT
ejpam-701	345	20	z	z	NOUN
ejpam-701	345	21	)	)	PUNCT
ejpam-701	345	22	,	,	PUNCT
ejpam-701	345	23	zp	zp	PROPN
ejpam-701	346	1	im+2	im+2	PROPN
ejpam-701	346	2	p	p	X
ejpam-701	346	3	(	(	PUNCT
ejpam-701	346	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	346	5	)	)	PUNCT
ejpam-701	346	6	f	f	NOUN
ejpam-701	346	7	(	(	PUNCT
ejpam-701	346	8	z	z	NOUN
ejpam-701	346	9	)	)	PUNCT
ejpam-701	346	10	;	;	PUNCT
ejpam-701	346	11	z	z	PROPN
ejpam-701	346	12	�	�	PROPN
ejpam-701	346	13	is	be	AUX
ejpam-701	346	14	univalent	univalent	ADJ
ejpam-701	346	15	in	in	ADP
ejpam-701	346	16	u	u	NOUN
ejpam-701	346	17	,	,	PUNCT
ejpam-701	346	18	then	then	ADV
ejpam-701	346	19	h1(z	h1(z	NOUN
ejpam-701	346	20	)	)	PUNCT
ejpam-701	346	21	≺	≺	NOUN
ejpam-701	346	22	ϕ	ϕ	PROPN
ejpam-701	346	23	�	�	PROPN
ejpam-701	346	24	zp	zp	PROPN
ejpam-701	347	1	i	i	PRON
ejpam-701	347	2	m	m	VERB
ejpam-701	347	3	p	p	X
ejpam-701	347	4	(	(	PUNCT
ejpam-701	347	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	347	6	)	)	PUNCT
ejpam-701	347	7	f	f	NOUN
ejpam-701	347	8	(	(	PUNCT
ejpam-701	347	9	z	z	NOUN
ejpam-701	347	10	)	)	PUNCT
ejpam-701	347	11	,	,	PUNCT
ejpam-701	347	12	zp	zp	X
ejpam-701	347	13	im+1	im+1	PROPN
ejpam-701	347	14	p	p	X
ejpam-701	347	15	(	(	PUNCT
ejpam-701	347	16	λ,ℓ	λ,ℓ	NOUN
ejpam-701	347	17	)	)	PUNCT
ejpam-701	347	18	f	f	NOUN
ejpam-701	347	19	(	(	PUNCT
ejpam-701	347	20	z	z	NOUN
ejpam-701	347	21	)	)	PUNCT
ejpam-701	347	22	,	,	PUNCT
ejpam-701	347	23	zp	zp	PROPN
ejpam-701	348	1	im+2	im+2	PROPN
ejpam-701	348	2	p	p	X
ejpam-701	348	3	(	(	PUNCT
ejpam-701	348	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	348	5	)	)	PUNCT
ejpam-701	348	6	f	f	NOUN
ejpam-701	348	7	(	(	PUNCT
ejpam-701	348	8	z	z	NOUN
ejpam-701	348	9	)	)	PUNCT
ejpam-701	348	10	;	;	PUNCT
ejpam-701	348	11	z	z	PROPN
ejpam-701	348	12	�	�	PROPN
ejpam-701	348	13	≺	≺	NOUN
ejpam-701	348	14	h2(z	h2(z	NUM
ejpam-701	348	15	)	)	PUNCT
ejpam-701	348	16	,	,	PUNCT
ejpam-701	348	17	implies	imply	VERB
ejpam-701	348	18	q1(z)≺	q1(z)≺	PROPN
ejpam-701	349	1	zp	zp	PROPN
ejpam-701	350	1	i	i	PRON
ejpam-701	350	2	m	m	VERB
ejpam-701	350	3	p	p	X
ejpam-701	350	4	(	(	PUNCT
ejpam-701	350	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	350	6	)	)	PUNCT
ejpam-701	350	7	f	f	NOUN
ejpam-701	350	8	(	(	PUNCT
ejpam-701	350	9	z	z	NOUN
ejpam-701	350	10	)	)	PUNCT
ejpam-701	350	11	≺	≺	NOUN
ejpam-701	350	12	q2(z	q2(z	NUM
ejpam-701	350	13	)	)	PUNCT
ejpam-701	350	14	.	.	PUNCT
ejpam-701	351	1	definition	definition	NOUN
ejpam-701	351	2	8	8	NUM
ejpam-701	351	3	.	.	PUNCT
ejpam-701	352	1	let	let	VERB
ejpam-701	352	2	ω	ω	PRON
ejpam-701	352	3	be	be	AUX
ejpam-701	352	4	a	a	DET
ejpam-701	352	5	set	set	NOUN
ejpam-701	352	6	in	in	ADP
ejpam-701	352	7	c	c	NOUN
ejpam-701	352	8	with	with	ADP
ejpam-701	352	9	q(z	q(z	PROPN
ejpam-701	352	10	)	)	PUNCT
ejpam-701	352	11	∈	∈	PROPN
ejpam-701	352	12	h	h	NOUN
ejpam-701	352	13	and	and	CCONJ
ejpam-701	352	14	zq	zq	PROPN
ejpam-701	353	1	′	′	NUM
ejpam-701	353	2	(	(	PUNCT
ejpam-701	353	3	z	z	NOUN
ejpam-701	353	4	)	)	PUNCT
ejpam-701	353	5	6=	6=	ADP
ejpam-701	353	6	0	0	X
ejpam-701	353	7	.	.	PUNCT
ejpam-701	354	1	the	the	DET
ejpam-701	354	2	class	class	NOUN
ejpam-701	354	3	of	of	ADP
ejpam-701	354	4	admissible	admissible	ADJ
ejpam-701	354	5	functions	function	NOUN
ejpam-701	354	6	φ	φ	X
ejpam-701	354	7	′	′	NUM
ejpam-701	354	8	h,1[ω	h,1[ω	PROPN
ejpam-701	354	9	,	,	PUNCT
ejpam-701	354	10	q	q	X
ejpam-701	354	11	]	]	PUNCT
ejpam-701	354	12	consists	consist	VERB
ejpam-701	354	13	of	of	ADP
ejpam-701	354	14	those	those	DET
ejpam-701	354	15	functions	function	NOUN
ejpam-701	354	16	ϕ	ϕ	NOUN
ejpam-701	354	17	:	:	PUNCT
ejpam-701	354	18	c3	c3	PROPN
ejpam-701	354	19	×	×	PROPN
ejpam-701	354	20	u	u	PROPN
ejpam-701	354	21	→	→	SYM
ejpam-701	354	22	c	c	X
ejpam-701	354	23	that	that	PRON
ejpam-701	354	24	satisfy	satisfy	VERB
ejpam-701	354	25	the	the	DET
ejpam-701	354	26	admissibility	admissibility	NOUN
ejpam-701	354	27	condition	condition	NOUN
ejpam-701	354	28	ϕ(u	ϕ(u	PROPN
ejpam-701	354	29	,	,	PUNCT
ejpam-701	354	30	v	v	NOUN
ejpam-701	354	31	,	,	PUNCT
ejpam-701	354	32	w;ζ	w;ζ	NUM
ejpam-701	354	33	)	)	PUNCT
ejpam-701	355	1	∈	∈	PROPN
ejpam-701	355	2	ω	ω	NUM
ejpam-701	355	3	whenever	whenever	SCONJ
ejpam-701	355	4	u=	u=	ADV
ejpam-701	355	5	q(z	q(z	PROPN
ejpam-701	355	6	)	)	PUNCT
ejpam-701	355	7	,	,	PUNCT
ejpam-701	355	8	v	v	X
ejpam-701	355	9	=	=	SYM
ejpam-701	355	10	q(z	q(z	PROPN
ejpam-701	355	11	)	)	PUNCT
ejpam-701	355	12	+	+	CCONJ
ejpam-701	355	13	1	1	NUM
ejpam-701	355	14	�	�	PROPN
ejpam-701	355	15	ℓ	ℓ	PROPN
ejpam-701	355	16	λ	λ	PROPN
ejpam-701	355	17	�	�	PROPN
ejpam-701	355	18	zq	zq	PROPN
ejpam-701	355	19	′	′	NUM
ejpam-701	355	20	(	(	PUNCT
ejpam-701	355	21	z	z	NOUN
ejpam-701	355	22	)	)	PUNCT
ejpam-701	355	23	mq(z	mq(z	NUM
ejpam-701	355	24	)	)	PUNCT
ejpam-701	355	25	!	!	PUNCT
ejpam-701	356	1	(	(	PUNCT
ejpam-701	356	2	q(z	q(z	PROPN
ejpam-701	356	3	)	)	PUNCT
ejpam-701	356	4	6=	6=	ADP
ejpam-701	356	5	0	0	NUM
ejpam-701	356	6	)	)	PUNCT
ejpam-701	356	7	re	re	ADP
ejpam-701	356	8	(	(	PUNCT
ejpam-701	356	9	�	�	PROPN
ejpam-701	356	10	ℓ	ℓ	PROPN
ejpam-701	356	11	λ	λ	PROPN
ejpam-701	356	12	�	�	PROPN
ejpam-701	356	13	v(w−	v(w−	PROPN
ejpam-701	356	14	v	v	NOUN
ejpam-701	356	15	)	)	PUNCT
ejpam-701	356	16	v−	v−	VERB
ejpam-701	356	17	u	u	PROPN
ejpam-701	356	18	−	−	PROPN
ejpam-701	356	19	�	�	PROPN
ejpam-701	356	20	ℓ	ℓ	PROPN
ejpam-701	356	21	λ	λ	PROPN
ejpam-701	356	22	�	�	PROPN
ejpam-701	356	23	(	(	PUNCT
ejpam-701	356	24	2u−	2u−	PROPN
ejpam-701	356	25	v	v	NOUN
ejpam-701	356	26	)	)	PUNCT
ejpam-701	356	27	)	)	PUNCT
ejpam-701	357	1	≤	≤	ADV
ejpam-701	357	2	1	1	NUM
ejpam-701	357	3	m	m	VERB
ejpam-701	357	4	re	re	VERB
ejpam-701	357	5	(	(	PUNCT
ejpam-701	357	6	1	1	NUM
ejpam-701	357	7	+	+	NUM
ejpam-701	357	8	zq	zq	PROPN
ejpam-701	357	9	′′	′′	PROPN
ejpam-701	357	10	(	(	PUNCT
ejpam-701	357	11	z	z	NOUN
ejpam-701	357	12	)	)	PUNCT
ejpam-701	357	13	q	q	NOUN
ejpam-701	358	1	′	′	NUM
ejpam-701	358	2	(	(	PUNCT
ejpam-701	358	3	z	z	NOUN
ejpam-701	358	4	)	)	PUNCT
ejpam-701	358	5	)	)	PUNCT
ejpam-701	358	6	,	,	PUNCT
ejpam-701	358	7	where	where	SCONJ
ejpam-701	358	8	z	z	PROPN
ejpam-701	358	9	∈	∈	PROPN
ejpam-701	358	10	u	u	NOUN
ejpam-701	358	11	,	,	PUNCT
ejpam-701	358	12	ζ	ζ	PROPN
ejpam-701	358	13	∈	∈	PROPN
ejpam-701	358	14	∂	∂	NUM
ejpam-701	358	15	u	u	NOUN
ejpam-701	358	16	and	and	CCONJ
ejpam-701	358	17	m	m	PROPN
ejpam-701	358	18	≥	≥	NOUN
ejpam-701	358	19	1	1	NUM
ejpam-701	358	20	.	.	PUNCT
ejpam-701	358	21	now	now	ADV
ejpam-701	358	22	we	we	PRON
ejpam-701	358	23	will	will	AUX
ejpam-701	358	24	give	give	VERB
ejpam-701	358	25	the	the	DET
ejpam-701	358	26	dual	dual	ADJ
ejpam-701	358	27	result	result	NOUN
ejpam-701	358	28	of	of	ADP
ejpam-701	358	29	theorem	theorem	NOUN
ejpam-701	358	30	5	5	NUM
ejpam-701	358	31	for	for	ADP
ejpam-701	358	32	differential	differential	ADJ
ejpam-701	358	33	superordination	superordination	NOUN
ejpam-701	358	34	.	.	PUNCT
ejpam-701	359	1	r.	r.	PROPN
ejpam-701	359	2	el	el	PROPN
ejpam-701	359	3	-	-	PUNCT
ejpam-701	359	4	ashwah	ashwah	NOUN
ejpam-701	359	5	,	,	PUNCT
ejpam-701	359	6	m.	m.	NOUN
ejpam-701	359	7	aouf	aouf	PROPN
ejpam-701	359	8	/	/	SYM
ejpam-701	359	9	eur	eur	PROPN
ejpam-701	359	10	.	.	PUNCT
ejpam-701	360	1	j.	j.	PROPN
ejpam-701	360	2	pure	pure	PROPN
ejpam-701	360	3	appl	appl	PROPN
ejpam-701	360	4	.	.	PROPN
ejpam-701	360	5	math	math	PROPN
ejpam-701	360	6	,	,	PUNCT
ejpam-701	360	7	3	3	NUM
ejpam-701	360	8	(	(	PUNCT
ejpam-701	360	9	2010	2010	NUM
ejpam-701	360	10	)	)	PUNCT
ejpam-701	360	11	,	,	PUNCT
ejpam-701	360	12	1070	1070	NUM
ejpam-701	360	13	-	-	SYM
ejpam-701	360	14	1085	1085	NUM
ejpam-701	360	15	1083	1083	NUM
ejpam-701	360	16	theorem	theorem	NOUN
ejpam-701	360	17	10	10	NUM
ejpam-701	360	18	.	.	PUNCT
ejpam-701	361	1	let	let	VERB
ejpam-701	361	2	ϕ	ϕ	PROPN
ejpam-701	361	3	∈	∈	PROPN
ejpam-701	361	4	φ	φ	X
ejpam-701	361	5	′	′	NUM
ejpam-701	361	6	h,1[ω	h,1[ω	PROPN
ejpam-701	361	7	,	,	PUNCT
ejpam-701	361	8	q	q	NOUN
ejpam-701	361	9	]	]	X
ejpam-701	361	10	.	.	PUNCT
ejpam-701	362	1	if	if	SCONJ
ejpam-701	362	2	f	f	PROPN
ejpam-701	362	3	(	(	PUNCT
ejpam-701	362	4	z	z	NOUN
ejpam-701	362	5	)	)	PUNCT
ejpam-701	362	6	∈	∈	PROPN
ejpam-701	362	7	∑	∑	PUNCT
ejpam-701	362	8	(	(	PUNCT
ejpam-701	362	9	p	p	NOUN
ejpam-701	362	10	)	)	PUNCT
ejpam-701	362	11	,	,	PUNCT
ejpam-701	362	12	im+1	im+1	PROPN
ejpam-701	362	13	p	p	X
ejpam-701	362	14	(	(	PUNCT
ejpam-701	362	15	λ,ℓ	λ,ℓ	NOUN
ejpam-701	362	16	)	)	PUNCT
ejpam-701	362	17	f	f	NOUN
ejpam-701	362	18	(	(	PUNCT
ejpam-701	362	19	z	z	X
ejpam-701	362	20	)	)	PUNCT
ejpam-701	363	1	i	i	PRON
ejpam-701	364	1	m	m	VERB
ejpam-701	364	2	p	p	X
ejpam-701	364	3	(	(	PUNCT
ejpam-701	364	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	364	5	)	)	PUNCT
ejpam-701	364	6	f	f	NOUN
ejpam-701	364	7	(	(	PUNCT
ejpam-701	364	8	z	z	NOUN
ejpam-701	364	9	)	)	PUNCT
ejpam-701	364	10	∈	∈	NOUN
ejpam-701	364	11	d1	d1	NOUN
ejpam-701	364	12	and	and	CCONJ
ejpam-701	364	13	ϕ	ϕ	X
ejpam-701	364	14	im+1	im+1	X
ejpam-701	364	15	p	p	X
ejpam-701	364	16	(	(	PUNCT
ejpam-701	364	17	λ,ℓ	λ,ℓ	NOUN
ejpam-701	364	18	)	)	PUNCT
ejpam-701	365	1	f	f	NOUN
ejpam-701	365	2	(	(	PUNCT
ejpam-701	365	3	z	z	X
ejpam-701	365	4	)	)	PUNCT
ejpam-701	365	5	i	i	PRON
ejpam-701	365	6	m	m	VERB
ejpam-701	365	7	p	p	X
ejpam-701	365	8	(	(	PUNCT
ejpam-701	365	9	λ,ℓ	λ,ℓ	NOUN
ejpam-701	365	10	)	)	PUNCT
ejpam-701	365	11	f	f	NOUN
ejpam-701	365	12	(	(	PUNCT
ejpam-701	365	13	z	z	NOUN
ejpam-701	365	14	)	)	PUNCT
ejpam-701	365	15	,	,	PUNCT
ejpam-701	365	16	im+2	im+2	PROPN
ejpam-701	365	17	p	p	NOUN
ejpam-701	365	18	(	(	PUNCT
ejpam-701	365	19	λ,ℓ	λ,ℓ	NOUN
ejpam-701	365	20	)	)	PUNCT
ejpam-701	365	21	f	f	NOUN
ejpam-701	365	22	(	(	PUNCT
ejpam-701	365	23	z	z	NOUN
ejpam-701	365	24	)	)	PUNCT
ejpam-701	365	25	im+1	im+1	PROPN
ejpam-701	365	26	p	p	X
ejpam-701	365	27	(	(	PUNCT
ejpam-701	365	28	λ,ℓ	λ,ℓ	NOUN
ejpam-701	365	29	)	)	PUNCT
ejpam-701	365	30	f	f	NOUN
ejpam-701	365	31	(	(	PUNCT
ejpam-701	365	32	z	z	NOUN
ejpam-701	365	33	)	)	PUNCT
ejpam-701	365	34	,	,	PUNCT
ejpam-701	365	35	im+3	im+3	X
ejpam-701	365	36	p	p	X
ejpam-701	365	37	(	(	PUNCT
ejpam-701	365	38	λ,ℓ	λ,ℓ	NOUN
ejpam-701	365	39	)	)	PUNCT
ejpam-701	365	40	f	f	NOUN
ejpam-701	365	41	(	(	PUNCT
ejpam-701	365	42	z	z	NOUN
ejpam-701	365	43	)	)	PUNCT
ejpam-701	365	44	im+2	im+2	PROPN
ejpam-701	365	45	p	p	NOUN
ejpam-701	365	46	(	(	PUNCT
ejpam-701	365	47	λ,ℓ	λ,ℓ	NOUN
ejpam-701	365	48	)	)	PUNCT
ejpam-701	365	49	f	f	NOUN
ejpam-701	365	50	(	(	PUNCT
ejpam-701	365	51	z	z	NOUN
ejpam-701	365	52	)	)	PUNCT
ejpam-701	365	53	;	;	PUNCT
ejpam-701	365	54	z	z	X
ejpam-701	365	55	!	!	PUNCT
ejpam-701	365	56	is	be	AUX
ejpam-701	365	57	univalent	univalent	ADJ
ejpam-701	365	58	in	in	ADP
ejpam-701	365	59	u	u	NOUN
ejpam-701	365	60	,	,	PUNCT
ejpam-701	365	61	then	then	ADV
ejpam-701	365	62	ω⊂	ω⊂	PROPN
ejpam-701	365	63	(	(	PUNCT
ejpam-701	365	64	ϕ	ϕ	NOUN
ejpam-701	365	65	im+1	im+1	PROPN
ejpam-701	365	66	p	p	X
ejpam-701	365	67	(	(	PUNCT
ejpam-701	365	68	λ,ℓ	λ,ℓ	NOUN
ejpam-701	365	69	)	)	PUNCT
ejpam-701	365	70	f	f	NOUN
ejpam-701	365	71	(	(	PUNCT
ejpam-701	365	72	z	z	X
ejpam-701	365	73	)	)	PUNCT
ejpam-701	365	74	i	i	PRON
ejpam-701	365	75	m	m	VERB
ejpam-701	365	76	p	p	X
ejpam-701	365	77	(	(	PUNCT
ejpam-701	365	78	λ,ℓ	λ,ℓ	NOUN
ejpam-701	365	79	)	)	PUNCT
ejpam-701	365	80	f	f	NOUN
ejpam-701	365	81	(	(	PUNCT
ejpam-701	365	82	z	z	NOUN
ejpam-701	365	83	)	)	PUNCT
ejpam-701	365	84	,	,	PUNCT
ejpam-701	366	1	im+2	im+2	PROPN
ejpam-701	366	2	p	p	NOUN
ejpam-701	366	3	(	(	PUNCT
ejpam-701	366	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	366	5	)	)	PUNCT
ejpam-701	366	6	f	f	NOUN
ejpam-701	366	7	(	(	PUNCT
ejpam-701	366	8	z	z	NOUN
ejpam-701	366	9	)	)	PUNCT
ejpam-701	366	10	im+1	im+1	PROPN
ejpam-701	366	11	p	p	X
ejpam-701	366	12	(	(	PUNCT
ejpam-701	366	13	λ,ℓ	λ,ℓ	NOUN
ejpam-701	366	14	)	)	PUNCT
ejpam-701	366	15	f	f	NOUN
ejpam-701	366	16	(	(	PUNCT
ejpam-701	366	17	z	z	NOUN
ejpam-701	366	18	)	)	PUNCT
ejpam-701	366	19	,	,	PUNCT
ejpam-701	366	20	im+3	im+3	X
ejpam-701	366	21	p	p	X
ejpam-701	366	22	(	(	PUNCT
ejpam-701	366	23	λ,ℓ	λ,ℓ	NOUN
ejpam-701	366	24	)	)	PUNCT
ejpam-701	366	25	f	f	NOUN
ejpam-701	366	26	(	(	PUNCT
ejpam-701	366	27	z	z	NOUN
ejpam-701	366	28	)	)	PUNCT
ejpam-701	366	29	im+2	im+2	PROPN
ejpam-701	366	30	p	p	NOUN
ejpam-701	366	31	(	(	PUNCT
ejpam-701	366	32	λ,ℓ	λ,ℓ	NOUN
ejpam-701	366	33	)	)	PUNCT
ejpam-701	366	34	f	f	NOUN
ejpam-701	366	35	(	(	PUNCT
ejpam-701	366	36	z	z	NOUN
ejpam-701	366	37	)	)	PUNCT
ejpam-701	366	38	;	;	PUNCT
ejpam-701	366	39	z	z	X
ejpam-701	366	40	!	!	PUNCT
ejpam-701	366	41	:	:	PUNCT
ejpam-701	367	1	z	z	PUNCT
ejpam-701	367	2	∈	∈	PROPN
ejpam-701	367	3	u	u	PROPN
ejpam-701	367	4	)	)	PUNCT
ejpam-701	367	5	.	.	PUNCT
ejpam-701	368	1	(	(	PUNCT
ejpam-701	368	2	32	32	NUM
ejpam-701	368	3	)	)	PUNCT
ejpam-701	368	4	implies	imply	VERB
ejpam-701	368	5	q(z)≺	q(z)≺	ADP
ejpam-701	368	6	im+1	im+1	X
ejpam-701	368	7	p	p	X
ejpam-701	368	8	(	(	PUNCT
ejpam-701	368	9	λ,ℓ	λ,ℓ	NOUN
ejpam-701	368	10	)	)	PUNCT
ejpam-701	368	11	f	f	NOUN
ejpam-701	368	12	(	(	PUNCT
ejpam-701	368	13	z	z	X
ejpam-701	368	14	)	)	PUNCT
ejpam-701	368	15	i	i	PRON
ejpam-701	368	16	m	m	VERB
ejpam-701	368	17	p	p	X
ejpam-701	368	18	(	(	PUNCT
ejpam-701	368	19	λ,ℓ	λ,ℓ	NOUN
ejpam-701	368	20	)	)	PUNCT
ejpam-701	368	21	f	f	NOUN
ejpam-701	368	22	(	(	PUNCT
ejpam-701	368	23	z	z	NOUN
ejpam-701	368	24	)	)	PUNCT
ejpam-701	368	25	.	.	PUNCT
ejpam-701	369	1	proof	proof	NOUN
ejpam-701	369	2	.	.	PUNCT
ejpam-701	370	1	let	let	VERB
ejpam-701	370	2	p(z	p(z	NOUN
ejpam-701	370	3	)	)	PUNCT
ejpam-701	370	4	defined	define	VERB
ejpam-701	370	5	by	by	ADP
ejpam-701	370	6	(	(	PUNCT
ejpam-701	370	7	21	21	NUM
ejpam-701	370	8	)	)	PUNCT
ejpam-701	370	9	and	and	CCONJ
ejpam-701	370	10	ψ	ψ	X
ejpam-701	370	11	defined	define	VERB
ejpam-701	370	12	by	by	ADP
ejpam-701	370	13	(	(	PUNCT
ejpam-701	370	14	25	25	NUM
ejpam-701	370	15	)	)	PUNCT
ejpam-701	370	16	.	.	PUNCT
ejpam-701	371	1	since	since	SCONJ
ejpam-701	371	2	ϕ	ϕ	PROPN
ejpam-701	371	3	∈	∈	PROPN
ejpam-701	371	4	φ	φ	NOUN
ejpam-701	371	5	′	′	NUM
ejpam-701	371	6	h,1[ω	h,1[ω	PROPN
ejpam-701	371	7	,	,	PUNCT
ejpam-701	371	8	q	q	X
ejpam-701	371	9	]	]	X
ejpam-701	371	10	,	,	PUNCT
ejpam-701	371	11	from	from	ADP
ejpam-701	371	12	(	(	PUNCT
ejpam-701	371	13	26	26	NUM
ejpam-701	371	14	)	)	PUNCT
ejpam-701	371	15	and	and	CCONJ
ejpam-701	371	16	(	(	PUNCT
ejpam-701	371	17	32	32	NUM
ejpam-701	371	18	)	)	PUNCT
ejpam-701	371	19	,	,	PUNCT
ejpam-701	371	20	we	we	PRON
ejpam-701	371	21	have	have	VERB
ejpam-701	371	22	ω	ω	NUM
ejpam-701	371	23	⊂	⊂	PROPN
ejpam-701	371	24	¦	¦	PROPN
ejpam-701	371	25	ψ(p(z	ψ(p(z	PROPN
ejpam-701	371	26	)	)	PUNCT
ejpam-701	371	27	,	,	PUNCT
ejpam-701	372	1	zp	zp	NOUN
ejpam-701	372	2	′	′	NUM
ejpam-701	373	1	(	(	PUNCT
ejpam-701	373	2	z	z	NOUN
ejpam-701	373	3	)	)	PUNCT
ejpam-701	373	4	,	,	PUNCT
ejpam-701	374	1	z2p	z2p	PROPN
ejpam-701	374	2	′′	′′	PROPN
ejpam-701	374	3	(	(	PUNCT
ejpam-701	374	4	z	z	PROPN
ejpam-701	374	5	)	)	PUNCT
ejpam-701	374	6	;	;	PUNCT
ejpam-701	374	7	z	z	X
ejpam-701	374	8	)	)	PUNCT
ejpam-701	374	9	:	:	PUNCT
ejpam-701	374	10	z	z	PROPN
ejpam-701	374	11	∈	∈	PROPN
ejpam-701	374	12	u	u	NOUN
ejpam-701	374	13	©	©	PROPN
ejpam-701	374	14	.	.	PUNCT
ejpam-701	375	1	from	from	ADP
ejpam-701	375	2	(	(	PUNCT
ejpam-701	375	3	25	25	NUM
ejpam-701	375	4	)	)	PUNCT
ejpam-701	375	5	,	,	PUNCT
ejpam-701	375	6	we	we	PRON
ejpam-701	375	7	see	see	VERB
ejpam-701	375	8	that	that	SCONJ
ejpam-701	375	9	the	the	DET
ejpam-701	375	10	admissibility	admissibility	NOUN
ejpam-701	375	11	condition	condition	NOUN
ejpam-701	375	12	for	for	ADP
ejpam-701	375	13	ϕ	ϕ	PROPN
ejpam-701	375	14	∈	∈	PROPN
ejpam-701	375	15	φ	φ	NOUN
ejpam-701	375	16	′	′	NUM
ejpam-701	375	17	h,1[ω	h,1[ω	PROPN
ejpam-701	375	18	,	,	PUNCT
ejpam-701	375	19	q	q	X
ejpam-701	375	20	]	]	X
ejpam-701	375	21	is	be	AUX
ejpam-701	375	22	equivalent	equivalent	ADJ
ejpam-701	375	23	to	to	ADP
ejpam-701	375	24	the	the	DET
ejpam-701	375	25	admissibility	admissibility	NOUN
ejpam-701	375	26	condition	condition	NOUN
ejpam-701	375	27	for	for	ADP
ejpam-701	375	28	ψ	ψ	PRON
ejpam-701	375	29	as	as	SCONJ
ejpam-701	375	30	given	give	VERB
ejpam-701	375	31	in	in	ADP
ejpam-701	375	32	definition	definition	NOUN
ejpam-701	375	33	2	2	NUM
ejpam-701	375	34	.	.	PUNCT
ejpam-701	375	35	hence	hence	ADV
ejpam-701	375	36	ψ	ψ	X
ejpam-701	375	37	∈ψ	∈ψ	PROPN
ejpam-701	375	38	′	′	NUM
ejpam-701	376	1	[	[	X
ejpam-701	376	2	ω	ω	NOUN
ejpam-701	376	3	,	,	PUNCT
ejpam-701	376	4	q	q	X
ejpam-701	376	5	]	]	X
ejpam-701	376	6	,	,	PUNCT
ejpam-701	376	7	and	and	CCONJ
ejpam-701	376	8	by	by	ADP
ejpam-701	376	9	lemma	lemma	PROPN
ejpam-701	376	10	2	2	NUM
ejpam-701	376	11	,	,	PUNCT
ejpam-701	376	12	q(z)≺	q(z)≺	ADP
ejpam-701	376	13	p(z	p(z	NOUN
ejpam-701	376	14	)	)	PUNCT
ejpam-701	376	15	or	or	CCONJ
ejpam-701	376	16	q(z)≺	q(z)≺	INTJ
ejpam-701	376	17	im+1	im+1	X
ejpam-701	376	18	p	p	X
ejpam-701	376	19	(	(	PUNCT
ejpam-701	376	20	λ,ℓ	λ,ℓ	NOUN
ejpam-701	376	21	)	)	PUNCT
ejpam-701	376	22	f	f	NOUN
ejpam-701	376	23	(	(	PUNCT
ejpam-701	376	24	z	z	X
ejpam-701	376	25	)	)	PUNCT
ejpam-701	376	26	i	i	PRON
ejpam-701	376	27	m	m	VERB
ejpam-701	376	28	p	p	X
ejpam-701	376	29	(	(	PUNCT
ejpam-701	376	30	λ,ℓ	λ,ℓ	NOUN
ejpam-701	376	31	)	)	PUNCT
ejpam-701	376	32	f	f	NOUN
ejpam-701	376	33	(	(	PUNCT
ejpam-701	376	34	z	z	NOUN
ejpam-701	376	35	)	)	PUNCT
ejpam-701	376	36	.	.	PUNCT
ejpam-701	377	1	if	if	SCONJ
ejpam-701	377	2	ω	ω	PROPN
ejpam-701	377	3	6=	6=	PROPN
ejpam-701	377	4	c	c	PROPN
ejpam-701	377	5	is	be	AUX
ejpam-701	377	6	a	a	DET
ejpam-701	377	7	simply	simply	ADV
ejpam-701	377	8	connected	connected	ADJ
ejpam-701	377	9	domain	domain	NOUN
ejpam-701	377	10	,	,	PUNCT
ejpam-701	377	11	then	then	ADV
ejpam-701	377	12	ω	ω	PROPN
ejpam-701	377	13	=	=	SYM
ejpam-701	377	14	h(u	h(u	PROPN
ejpam-701	377	15	)	)	PUNCT
ejpam-701	377	16	for	for	ADP
ejpam-701	377	17	some	some	DET
ejpam-701	377	18	conformal	conformal	ADJ
ejpam-701	377	19	mapping	map	VERB
ejpam-701	377	20	h(z	h(z	NOUN
ejpam-701	377	21	)	)	PUNCT
ejpam-701	377	22	of	of	ADP
ejpam-701	377	23	u	u	PRON
ejpam-701	377	24	onto	onto	ADP
ejpam-701	377	25	ω	ω	NUM
ejpam-701	377	26	.	.	PUNCT
ejpam-701	378	1	in	in	ADP
ejpam-701	378	2	this	this	DET
ejpam-701	378	3	case	case	NOUN
ejpam-701	378	4	the	the	DET
ejpam-701	378	5	class	class	NOUN
ejpam-701	378	6	φ	φ	PROPN
ejpam-701	378	7	′	′	NUM
ejpam-701	378	8	h,1[h(u),q	h,1[h(u),q	PROPN
ejpam-701	378	9	]	]	PUNCT
ejpam-701	378	10	is	be	AUX
ejpam-701	378	11	written	write	VERB
ejpam-701	378	12	as	as	ADP
ejpam-701	378	13	φ	φ	PROPN
ejpam-701	378	14	′	′	NUM
ejpam-701	378	15	h,1[h	h,1[h	PROPN
ejpam-701	378	16	,	,	PUNCT
ejpam-701	378	17	q	q	NOUN
ejpam-701	378	18	]	]	X
ejpam-701	378	19	.	.	PUNCT
ejpam-701	379	1	the	the	DET
ejpam-701	379	2	following	following	ADJ
ejpam-701	379	3	result	result	NOUN
ejpam-701	379	4	is	be	AUX
ejpam-701	379	5	an	an	DET
ejpam-701	379	6	immediate	immediate	ADJ
ejpam-701	379	7	consequence	consequence	NOUN
ejpam-701	379	8	of	of	ADP
ejpam-701	379	9	theorem	theorem	ADJ
ejpam-701	379	10	10	10	NUM
ejpam-701	379	11	.	.	PUNCT
ejpam-701	379	12	theorem	theorem	VERB
ejpam-701	379	13	11	11	NUM
ejpam-701	379	14	.	.	PUNCT
ejpam-701	380	1	let	let	VERB
ejpam-701	380	2	q(z	q(z	NUM
ejpam-701	380	3	)	)	PUNCT
ejpam-701	380	4	∈	∈	PROPN
ejpam-701	380	5	h	h	NOUN
ejpam-701	380	6	,	,	PUNCT
ejpam-701	380	7	h(z	h(z	NOUN
ejpam-701	380	8	)	)	PUNCT
ejpam-701	380	9	be	be	AUX
ejpam-701	380	10	analytic	analytic	ADJ
ejpam-701	380	11	in	in	ADP
ejpam-701	380	12	u	u	NOUN
ejpam-701	380	13	and	and	CCONJ
ejpam-701	380	14	ϕ	ϕ	PROPN
ejpam-701	380	15	∈	∈	PROPN
ejpam-701	381	1	φ	φ	NOUN
ejpam-701	381	2	′	′	NUM
ejpam-701	381	3	h,1[h	h,1[h	PROPN
ejpam-701	381	4	,	,	PUNCT
ejpam-701	381	5	q	q	NOUN
ejpam-701	381	6	]	]	X
ejpam-701	381	7	.	.	PUNCT
ejpam-701	382	1	if	if	SCONJ
ejpam-701	382	2	f	f	PROPN
ejpam-701	382	3	(	(	PUNCT
ejpam-701	382	4	z	z	NOUN
ejpam-701	382	5	)	)	PUNCT
ejpam-701	382	6	∈	∈	PROPN
ejpam-701	382	7	∑	∑	PUNCT
ejpam-701	382	8	(	(	PUNCT
ejpam-701	382	9	p	p	NOUN
ejpam-701	382	10	)	)	PUNCT
ejpam-701	382	11	,	,	PUNCT
ejpam-701	382	12	im+1	im+1	PROPN
ejpam-701	382	13	p	p	X
ejpam-701	382	14	(	(	PUNCT
ejpam-701	382	15	λ,ℓ	λ,ℓ	NOUN
ejpam-701	382	16	)	)	PUNCT
ejpam-701	382	17	f	f	NOUN
ejpam-701	382	18	(	(	PUNCT
ejpam-701	382	19	z	z	X
ejpam-701	382	20	)	)	PUNCT
ejpam-701	383	1	i	i	PRON
ejpam-701	384	1	m	m	VERB
ejpam-701	384	2	p	p	X
ejpam-701	384	3	(	(	PUNCT
ejpam-701	384	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	384	5	)	)	PUNCT
ejpam-701	384	6	f	f	NOUN
ejpam-701	384	7	(	(	PUNCT
ejpam-701	384	8	z	z	NOUN
ejpam-701	384	9	)	)	PUNCT
ejpam-701	384	10	∈	∈	NOUN
ejpam-701	384	11	d1	d1	NOUN
ejpam-701	384	12	and	and	CCONJ
ejpam-701	384	13	ϕ	ϕ	X
ejpam-701	384	14	im+1	im+1	X
ejpam-701	384	15	p	p	X
ejpam-701	384	16	(	(	PUNCT
ejpam-701	384	17	λ,ℓ	λ,ℓ	NOUN
ejpam-701	384	18	)	)	PUNCT
ejpam-701	385	1	f	f	NOUN
ejpam-701	385	2	(	(	PUNCT
ejpam-701	385	3	z	z	X
ejpam-701	385	4	)	)	PUNCT
ejpam-701	385	5	i	i	PRON
ejpam-701	385	6	m	m	VERB
ejpam-701	385	7	p	p	X
ejpam-701	385	8	(	(	PUNCT
ejpam-701	385	9	λ,ℓ	λ,ℓ	NOUN
ejpam-701	385	10	)	)	PUNCT
ejpam-701	385	11	f	f	NOUN
ejpam-701	385	12	(	(	PUNCT
ejpam-701	385	13	z	z	NOUN
ejpam-701	385	14	)	)	PUNCT
ejpam-701	385	15	,	,	PUNCT
ejpam-701	385	16	im+2	im+2	PROPN
ejpam-701	385	17	p	p	NOUN
ejpam-701	385	18	(	(	PUNCT
ejpam-701	385	19	λ,ℓ	λ,ℓ	NOUN
ejpam-701	385	20	)	)	PUNCT
ejpam-701	385	21	f	f	NOUN
ejpam-701	385	22	(	(	PUNCT
ejpam-701	385	23	z	z	NOUN
ejpam-701	385	24	)	)	PUNCT
ejpam-701	385	25	im+1	im+1	PROPN
ejpam-701	385	26	p	p	X
ejpam-701	385	27	(	(	PUNCT
ejpam-701	385	28	λ,ℓ	λ,ℓ	NOUN
ejpam-701	385	29	)	)	PUNCT
ejpam-701	385	30	f	f	NOUN
ejpam-701	385	31	(	(	PUNCT
ejpam-701	385	32	z	z	NOUN
ejpam-701	385	33	)	)	PUNCT
ejpam-701	385	34	,	,	PUNCT
ejpam-701	385	35	im+3	im+3	X
ejpam-701	385	36	p	p	X
ejpam-701	385	37	(	(	PUNCT
ejpam-701	385	38	λ,ℓ	λ,ℓ	NOUN
ejpam-701	385	39	)	)	PUNCT
ejpam-701	385	40	f	f	NOUN
ejpam-701	385	41	(	(	PUNCT
ejpam-701	385	42	z	z	NOUN
ejpam-701	385	43	)	)	PUNCT
ejpam-701	385	44	im+2	im+2	PROPN
ejpam-701	385	45	p	p	NOUN
ejpam-701	385	46	(	(	PUNCT
ejpam-701	385	47	λ,ℓ	λ,ℓ	NOUN
ejpam-701	385	48	)	)	PUNCT
ejpam-701	385	49	f	f	NOUN
ejpam-701	385	50	(	(	PUNCT
ejpam-701	385	51	z	z	NOUN
ejpam-701	385	52	)	)	PUNCT
ejpam-701	385	53	;	;	PUNCT
ejpam-701	385	54	z	z	X
ejpam-701	385	55	!	!	PUNCT
ejpam-701	385	56	is	be	AUX
ejpam-701	385	57	univalent	univalent	ADJ
ejpam-701	385	58	in	in	ADP
ejpam-701	385	59	u	u	NOUN
ejpam-701	385	60	,	,	PUNCT
ejpam-701	385	61	then	then	ADV
ejpam-701	385	62	h(z	h(z	NOUN
ejpam-701	385	63	)	)	PUNCT
ejpam-701	385	64	≺	≺	NOUN
ejpam-701	385	65	ϕ	ϕ	PROPN
ejpam-701	385	66	im+1	im+1	X
ejpam-701	385	67	p	p	X
ejpam-701	385	68	(	(	PUNCT
ejpam-701	385	69	λ,ℓ	λ,ℓ	NOUN
ejpam-701	385	70	)	)	PUNCT
ejpam-701	385	71	f	f	NOUN
ejpam-701	385	72	(	(	PUNCT
ejpam-701	385	73	z	z	X
ejpam-701	385	74	)	)	PUNCT
ejpam-701	386	1	i	i	PRON
ejpam-701	386	2	m	m	VERB
ejpam-701	386	3	p	p	X
ejpam-701	386	4	(	(	PUNCT
ejpam-701	386	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	386	6	)	)	PUNCT
ejpam-701	386	7	f	f	NOUN
ejpam-701	386	8	(	(	PUNCT
ejpam-701	386	9	z	z	NOUN
ejpam-701	386	10	)	)	PUNCT
ejpam-701	386	11	,	,	PUNCT
ejpam-701	386	12	im+2	im+2	PROPN
ejpam-701	386	13	p	p	NOUN
ejpam-701	386	14	(	(	PUNCT
ejpam-701	386	15	λ,ℓ	λ,ℓ	NOUN
ejpam-701	386	16	)	)	PUNCT
ejpam-701	386	17	f	f	NOUN
ejpam-701	386	18	(	(	PUNCT
ejpam-701	386	19	z	z	NOUN
ejpam-701	386	20	)	)	PUNCT
ejpam-701	386	21	im+1	im+1	PROPN
ejpam-701	386	22	p	p	X
ejpam-701	386	23	(	(	PUNCT
ejpam-701	386	24	λ,ℓ	λ,ℓ	NOUN
ejpam-701	386	25	)	)	PUNCT
ejpam-701	386	26	f	f	NOUN
ejpam-701	386	27	(	(	PUNCT
ejpam-701	386	28	z	z	NOUN
ejpam-701	386	29	)	)	PUNCT
ejpam-701	386	30	,	,	PUNCT
ejpam-701	386	31	im+3	im+3	X
ejpam-701	386	32	p	p	X
ejpam-701	386	33	(	(	PUNCT
ejpam-701	386	34	λ,ℓ	λ,ℓ	NOUN
ejpam-701	386	35	)	)	PUNCT
ejpam-701	386	36	f	f	NOUN
ejpam-701	386	37	(	(	PUNCT
ejpam-701	386	38	z	z	NOUN
ejpam-701	386	39	)	)	PUNCT
ejpam-701	386	40	im+2	im+2	PROPN
ejpam-701	386	41	p	p	NOUN
ejpam-701	386	42	(	(	PUNCT
ejpam-701	386	43	λ,ℓ	λ,ℓ	NOUN
ejpam-701	386	44	)	)	PUNCT
ejpam-701	386	45	f	f	NOUN
ejpam-701	386	46	(	(	PUNCT
ejpam-701	386	47	z	z	NOUN
ejpam-701	386	48	)	)	PUNCT
ejpam-701	386	49	;	;	PUNCT
ejpam-701	387	1	z	z	X
ejpam-701	387	2	!	!	PUNCT
ejpam-701	388	1	,	,	PUNCT
ejpam-701	388	2	(	(	PUNCT
ejpam-701	388	3	33	33	NUM
ejpam-701	388	4	)	)	PUNCT
ejpam-701	388	5	implies	imply	VERB
ejpam-701	388	6	q(z)≺	q(z)≺	ADP
ejpam-701	388	7	im+1	im+1	X
ejpam-701	388	8	p	p	X
ejpam-701	388	9	(	(	PUNCT
ejpam-701	388	10	λ,ℓ	λ,ℓ	NOUN
ejpam-701	388	11	)	)	PUNCT
ejpam-701	388	12	f	f	NOUN
ejpam-701	388	13	(	(	PUNCT
ejpam-701	388	14	z	z	X
ejpam-701	388	15	)	)	PUNCT
ejpam-701	388	16	i	i	PRON
ejpam-701	388	17	m	m	VERB
ejpam-701	388	18	p	p	X
ejpam-701	388	19	(	(	PUNCT
ejpam-701	388	20	λ,ℓ	λ,ℓ	NOUN
ejpam-701	388	21	)	)	PUNCT
ejpam-701	388	22	f	f	NOUN
ejpam-701	388	23	(	(	PUNCT
ejpam-701	388	24	z	z	NOUN
ejpam-701	388	25	)	)	PUNCT
ejpam-701	388	26	.	.	PUNCT
ejpam-701	389	1	references	reference	NOUN
ejpam-701	389	2	1084	1084	NUM
ejpam-701	389	3	combining	combine	VERB
ejpam-701	389	4	theorems	theorem	NOUN
ejpam-701	389	5	6	6	NUM
ejpam-701	389	6	and	and	CCONJ
ejpam-701	389	7	11	11	NUM
ejpam-701	389	8	,	,	PUNCT
ejpam-701	389	9	we	we	PRON
ejpam-701	389	10	obtain	obtain	VERB
ejpam-701	389	11	the	the	DET
ejpam-701	389	12	following	follow	VERB
ejpam-701	389	13	sandwich	sandwich	NOUN
ejpam-701	389	14	-	-	PUNCT
ejpam-701	389	15	type	type	NOUN
ejpam-701	389	16	theorem	theorem	ADJ
ejpam-701	389	17	.	.	PROPN
ejpam-701	389	18	corollary	corollary	ADJ
ejpam-701	389	19	9	9	NUM
ejpam-701	389	20	.	.	PUNCT
ejpam-701	390	1	let	let	VERB
ejpam-701	390	2	h1(z	h1(z	NUM
ejpam-701	390	3	)	)	PUNCT
ejpam-701	390	4	and	and	CCONJ
ejpam-701	390	5	q1(z	q1(z	PROPN
ejpam-701	390	6	)	)	PUNCT
ejpam-701	390	7	be	be	AUX
ejpam-701	390	8	analytic	analytic	ADJ
ejpam-701	390	9	functions	function	NOUN
ejpam-701	390	10	in	in	ADP
ejpam-701	390	11	u	u	PROPN
ejpam-701	390	12	,	,	PUNCT
ejpam-701	390	13	h2(z	h2(z	X
ejpam-701	390	14	)	)	PUNCT
ejpam-701	390	15	be	be	AUX
ejpam-701	390	16	univalent	univalent	ADJ
ejpam-701	390	17	function	function	NOUN
ejpam-701	390	18	in	in	ADP
ejpam-701	390	19	u	u	PROPN
ejpam-701	390	20	,	,	PUNCT
ejpam-701	390	21	q2(z	q2(z	NOUN
ejpam-701	390	22	)	)	PUNCT
ejpam-701	390	23	∈	∈	NOUN
ejpam-701	390	24	d1	d1	NOUN
ejpam-701	390	25	with	with	ADP
ejpam-701	390	26	q1(0	q1(0	PROPN
ejpam-701	390	27	)	)	PUNCT
ejpam-701	391	1	=	=	PUNCT
ejpam-701	391	2	q2(0	q2(0	PROPN
ejpam-701	391	3	)	)	PUNCT
ejpam-701	391	4	=	=	SYM
ejpam-701	391	5	1	1	NUM
ejpam-701	391	6	and	and	CCONJ
ejpam-701	391	7	ϕ	ϕ	PROPN
ejpam-701	391	8	∈	∈	PROPN
ejpam-701	391	9	φh,1[h2,q2	φh,1[h2,q2	PROPN
ejpam-701	391	10	]	]	PUNCT
ejpam-701	391	11	∩	∩	PROPN
ejpam-701	391	12	φ	φ	PROPN
ejpam-701	391	13	′	′	NUM
ejpam-701	392	1	h,1[h1,q1	h,1[h1,q1	NOUN
ejpam-701	392	2	]	]	X
ejpam-701	392	3	.	.	PUNCT
ejpam-701	393	1	if	if	SCONJ
ejpam-701	393	2	f	f	PROPN
ejpam-701	393	3	(	(	PUNCT
ejpam-701	393	4	z	z	NOUN
ejpam-701	393	5	)	)	PUNCT
ejpam-701	393	6	∈	∈	PROPN
ejpam-701	393	7	∑	∑	PUNCT
ejpam-701	393	8	(	(	PUNCT
ejpam-701	393	9	p	p	NOUN
ejpam-701	393	10	)	)	PUNCT
ejpam-701	393	11	,	,	PUNCT
ejpam-701	393	12	im+1	im+1	PROPN
ejpam-701	393	13	p	p	X
ejpam-701	393	14	(	(	PUNCT
ejpam-701	393	15	λ,ℓ	λ,ℓ	NOUN
ejpam-701	393	16	)	)	PUNCT
ejpam-701	393	17	f	f	NOUN
ejpam-701	393	18	(	(	PUNCT
ejpam-701	393	19	z	z	X
ejpam-701	393	20	)	)	PUNCT
ejpam-701	394	1	i	i	PRON
ejpam-701	395	1	m	m	VERB
ejpam-701	395	2	p	p	X
ejpam-701	395	3	(	(	PUNCT
ejpam-701	395	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	395	5	)	)	PUNCT
ejpam-701	395	6	f	f	NOUN
ejpam-701	395	7	(	(	PUNCT
ejpam-701	395	8	z	z	NOUN
ejpam-701	395	9	)	)	PUNCT
ejpam-701	395	10	∈	∈	PROPN
ejpam-701	395	11	h	h	NOUN
ejpam-701	395	12	∩	∩	PROPN
ejpam-701	395	13	d1	d1	PROPN
ejpam-701	395	14	and	and	CCONJ
ejpam-701	395	15	ϕ	ϕ	X
ejpam-701	395	16	im+1	im+1	X
ejpam-701	395	17	p	p	X
ejpam-701	395	18	(	(	PUNCT
ejpam-701	395	19	λ,ℓ	λ,ℓ	NOUN
ejpam-701	395	20	)	)	PUNCT
ejpam-701	395	21	f	f	NOUN
ejpam-701	395	22	(	(	PUNCT
ejpam-701	395	23	z	z	X
ejpam-701	395	24	)	)	PUNCT
ejpam-701	396	1	i	i	PRON
ejpam-701	396	2	m	m	VERB
ejpam-701	396	3	p	p	X
ejpam-701	396	4	(	(	PUNCT
ejpam-701	396	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	396	6	)	)	PUNCT
ejpam-701	396	7	f	f	NOUN
ejpam-701	396	8	(	(	PUNCT
ejpam-701	396	9	z	z	NOUN
ejpam-701	396	10	)	)	PUNCT
ejpam-701	396	11	,	,	PUNCT
ejpam-701	396	12	im+2	im+2	PROPN
ejpam-701	396	13	p	p	NOUN
ejpam-701	396	14	(	(	PUNCT
ejpam-701	396	15	λ,ℓ	λ,ℓ	NOUN
ejpam-701	396	16	)	)	PUNCT
ejpam-701	396	17	f	f	NOUN
ejpam-701	396	18	(	(	PUNCT
ejpam-701	396	19	z	z	NOUN
ejpam-701	396	20	)	)	PUNCT
ejpam-701	396	21	im+1	im+1	PROPN
ejpam-701	396	22	p	p	X
ejpam-701	396	23	(	(	PUNCT
ejpam-701	396	24	λ,ℓ	λ,ℓ	NOUN
ejpam-701	396	25	)	)	PUNCT
ejpam-701	396	26	f	f	NOUN
ejpam-701	396	27	(	(	PUNCT
ejpam-701	396	28	z	z	NOUN
ejpam-701	396	29	)	)	PUNCT
ejpam-701	396	30	,	,	PUNCT
ejpam-701	396	31	im+3	im+3	X
ejpam-701	396	32	p	p	X
ejpam-701	396	33	(	(	PUNCT
ejpam-701	396	34	λ,ℓ	λ,ℓ	NOUN
ejpam-701	396	35	)	)	PUNCT
ejpam-701	396	36	f	f	NOUN
ejpam-701	396	37	(	(	PUNCT
ejpam-701	396	38	z	z	NOUN
ejpam-701	396	39	)	)	PUNCT
ejpam-701	396	40	im+2	im+2	PROPN
ejpam-701	396	41	p	p	NOUN
ejpam-701	396	42	(	(	PUNCT
ejpam-701	396	43	λ,ℓ	λ,ℓ	NOUN
ejpam-701	396	44	)	)	PUNCT
ejpam-701	396	45	f	f	NOUN
ejpam-701	396	46	(	(	PUNCT
ejpam-701	396	47	z	z	NOUN
ejpam-701	396	48	)	)	PUNCT
ejpam-701	396	49	;	;	PUNCT
ejpam-701	396	50	z	z	X
ejpam-701	396	51	!	!	PUNCT
ejpam-701	396	52	is	be	AUX
ejpam-701	396	53	univalent	univalent	ADJ
ejpam-701	396	54	in	in	ADP
ejpam-701	396	55	u	u	NOUN
ejpam-701	396	56	,	,	PUNCT
ejpam-701	396	57	then	then	ADV
ejpam-701	396	58	h1(z)≺	h1(z)≺	ADP
ejpam-701	396	59	ϕ	ϕ	PROPN
ejpam-701	396	60	im+1	im+1	PROPN
ejpam-701	396	61	p	p	X
ejpam-701	396	62	(	(	PUNCT
ejpam-701	396	63	λ,ℓ	λ,ℓ	NOUN
ejpam-701	396	64	)	)	PUNCT
ejpam-701	396	65	f	f	NOUN
ejpam-701	396	66	(	(	PUNCT
ejpam-701	396	67	z	z	X
ejpam-701	396	68	)	)	PUNCT
ejpam-701	396	69	i	i	PRON
ejpam-701	396	70	m	m	VERB
ejpam-701	396	71	p	p	X
ejpam-701	396	72	(	(	PUNCT
ejpam-701	396	73	λ,ℓ	λ,ℓ	NOUN
ejpam-701	396	74	)	)	PUNCT
ejpam-701	396	75	f	f	NOUN
ejpam-701	396	76	(	(	PUNCT
ejpam-701	396	77	z	z	NOUN
ejpam-701	396	78	)	)	PUNCT
ejpam-701	396	79	,	,	PUNCT
ejpam-701	396	80	im+2	im+2	PROPN
ejpam-701	396	81	p	p	NOUN
ejpam-701	396	82	(	(	PUNCT
ejpam-701	396	83	λ,ℓ	λ,ℓ	NOUN
ejpam-701	396	84	)	)	PUNCT
ejpam-701	396	85	f	f	NOUN
ejpam-701	396	86	(	(	PUNCT
ejpam-701	396	87	z	z	NOUN
ejpam-701	396	88	)	)	PUNCT
ejpam-701	396	89	im+1	im+1	PROPN
ejpam-701	396	90	p	p	X
ejpam-701	396	91	(	(	PUNCT
ejpam-701	396	92	λ,ℓ	λ,ℓ	NOUN
ejpam-701	396	93	)	)	PUNCT
ejpam-701	396	94	f	f	NOUN
ejpam-701	396	95	(	(	PUNCT
ejpam-701	396	96	z	z	NOUN
ejpam-701	396	97	)	)	PUNCT
ejpam-701	396	98	,	,	PUNCT
ejpam-701	396	99	im+3	im+3	X
ejpam-701	396	100	p	p	X
ejpam-701	396	101	(	(	PUNCT
ejpam-701	396	102	λ,ℓ	λ,ℓ	NOUN
ejpam-701	396	103	)	)	PUNCT
ejpam-701	396	104	f	f	NOUN
ejpam-701	396	105	(	(	PUNCT
ejpam-701	396	106	z	z	NOUN
ejpam-701	396	107	)	)	PUNCT
ejpam-701	397	1	im+2	im+2	PROPN
ejpam-701	397	2	p	p	NOUN
ejpam-701	397	3	(	(	PUNCT
ejpam-701	397	4	λ,ℓ	λ,ℓ	NOUN
ejpam-701	397	5	)	)	PUNCT
ejpam-701	397	6	f	f	NOUN
ejpam-701	397	7	(	(	PUNCT
ejpam-701	397	8	z	z	NOUN
ejpam-701	397	9	)	)	PUNCT
ejpam-701	397	10	;	;	PUNCT
ejpam-701	398	1	z	z	X
ejpam-701	398	2	!	!	PUNCT
ejpam-701	399	1	≺	≺	NOUN
ejpam-701	399	2	h2(z	h2(z	NUM
ejpam-701	399	3	)	)	PUNCT
ejpam-701	399	4	,	,	PUNCT
ejpam-701	399	5	implies	imply	VERB
ejpam-701	399	6	q1(z	q1(z	NUM
ejpam-701	399	7	)	)	PUNCT
ejpam-701	399	8	≺	≺	NOUN
ejpam-701	399	9	im+1	im+1	X
ejpam-701	399	10	p	p	X
ejpam-701	399	11	(	(	PUNCT
ejpam-701	399	12	λ,ℓ	λ,ℓ	NOUN
ejpam-701	399	13	)	)	PUNCT
ejpam-701	399	14	f	f	NOUN
ejpam-701	399	15	(	(	PUNCT
ejpam-701	399	16	z	z	X
ejpam-701	399	17	)	)	PUNCT
ejpam-701	400	1	i	i	PRON
ejpam-701	400	2	m	m	VERB
ejpam-701	400	3	p	p	X
ejpam-701	400	4	(	(	PUNCT
ejpam-701	400	5	λ,ℓ	λ,ℓ	NOUN
ejpam-701	400	6	)	)	PUNCT
ejpam-701	400	7	f	f	NOUN
ejpam-701	400	8	(	(	PUNCT
ejpam-701	400	9	z	z	NOUN
ejpam-701	400	10	)	)	PUNCT
ejpam-701	400	11	≺	≺	NOUN
ejpam-701	400	12	q2(z	q2(z	NUM
ejpam-701	400	13	)	)	PUNCT
ejpam-701	400	14	.	.	PUNCT
ejpam-701	401	1	remark	remark	PROPN
ejpam-701	401	2	1	1	NUM
ejpam-701	401	3	.	.	PUNCT
ejpam-701	402	1	(	(	PUNCT
ejpam-701	402	2	i	i	NOUN
ejpam-701	402	3	)	)	PUNCT
ejpam-701	402	4	putting	put	VERB
ejpam-701	402	5	λ	λ	NOUN
ejpam-701	402	6	=	=	NOUN
ejpam-701	402	7	1	1	NUM
ejpam-701	402	8	in	in	ADP
ejpam-701	402	9	the	the	DET
ejpam-701	402	10	above	above	ADJ
ejpam-701	402	11	results	result	NOUN
ejpam-701	402	12	we	we	PRON
ejpam-701	402	13	obtain	obtain	VERB
ejpam-701	402	14	results	result	NOUN
ejpam-701	402	15	associated	associate	VERB
ejpam-701	402	16	with	with	ADP
ejpam-701	402	17	the	the	DET
ejpam-701	402	18	operator	operator	NOUN
ejpam-701	402	19	ip(m,ℓ	ip(m,ℓ	NOUN
ejpam-701	402	20	)	)	PUNCT
ejpam-701	402	21	which	which	PRON
ejpam-701	402	22	defined	define	VERB
ejpam-701	402	23	by	by	ADP
ejpam-701	402	24	(	(	PUNCT
ejpam-701	402	25	7	7	NUM
ejpam-701	402	26	)	)	PUNCT
ejpam-701	402	27	;	;	PUNCT
ejpam-701	402	28	(	(	PUNCT
ejpam-701	402	29	ii	ii	NOUN
ejpam-701	402	30	)	)	PUNCT
ejpam-701	402	31	putting	put	VERB
ejpam-701	402	32	ℓ	ℓ	NOUN
ejpam-701	402	33	=	=	SYM
ejpam-701	402	34	1	1	NUM
ejpam-701	402	35	in	in	ADP
ejpam-701	402	36	the	the	DET
ejpam-701	402	37	above	above	ADJ
ejpam-701	402	38	results	result	NOUN
ejpam-701	402	39	we	we	PRON
ejpam-701	402	40	obtain	obtain	VERB
ejpam-701	402	41	results	result	NOUN
ejpam-701	402	42	associated	associate	VERB
ejpam-701	402	43	with	with	ADP
ejpam-701	402	44	the	the	DET
ejpam-701	402	45	operator	operator	NOUN
ejpam-701	402	46	dm	dm	PROPN
ejpam-701	402	47	λ	λ	PROPN
ejpam-701	402	48	,	,	PUNCT
ejpam-701	402	49	p	p	PRON
ejpam-701	402	50	which	which	PRON
ejpam-701	402	51	defined	define	VERB
ejpam-701	402	52	by	by	ADP
ejpam-701	402	53	(	(	PUNCT
ejpam-701	402	54	8)	8)	NUM
ejpam-701	402	55	.	.	PUNCT
ejpam-701	402	56	references	reference	NOUN
ejpam-701	402	57	[	[	X
ejpam-701	402	58	1	1	NUM
ejpam-701	402	59	]	]	X
ejpam-701	402	60	r.	r.	PROPN
ejpam-701	402	61	aghalary	aghalary	PROPN
ejpam-701	402	62	,	,	PUNCT
ejpam-701	402	63	r.	r.	PROPN
ejpam-701	402	64	m.	m.	PROPN
ejpam-701	402	65	ali	ali	PROPN
ejpam-701	402	66	,	,	PUNCT
ejpam-701	402	67	s.	s.	PROPN
ejpam-701	402	68	b.	b.	PROPN
ejpam-701	402	69	joshi	joshi	PROPN
ejpam-701	402	70	and	and	CCONJ
ejpam-701	402	71	v.	v.	ADP
ejpam-701	402	72	ravichandran	ravichandran	NOUN
ejpam-701	402	73	,	,	PUNCT
ejpam-701	402	74	inequalities	inequality	NOUN
ejpam-701	402	75	for	for	ADP
ejpam-701	402	76	analytic	analytic	ADJ
ejpam-701	402	77	functions	function	NOUN
ejpam-701	402	78	defined	define	VERB
ejpam-701	402	79	by	by	ADP
ejpam-701	402	80	certain	certain	ADJ
ejpam-701	402	81	linear	linear	ADJ
ejpam-701	402	82	operator	operator	NOUN
ejpam-701	402	83	,	,	PUNCT
ejpam-701	402	84	internat	internat	PROPN
ejpam-701	402	85	.	.	PUNCT
ejpam-701	403	1	j.	j.	PROPN
ejpam-701	403	2	math	math	PROPN
ejpam-701	403	3	.	.	PUNCT
ejpam-701	404	1	sci	sci	PROPN
ejpam-701	404	2	.	.	PROPN
ejpam-701	404	3	,	,	PUNCT
ejpam-701	404	4	4	4	NUM
ejpam-701	404	5	,	,	PUNCT
ejpam-701	404	6	no	no	INTJ
ejpam-701	404	7	.	.	NOUN
ejpam-701	404	8	2	2	NUM
ejpam-701	404	9	,	,	PUNCT
ejpam-701	404	10	267	267	NUM
ejpam-701	404	11	-	-	SYM
ejpam-701	404	12	274	274	NUM
ejpam-701	404	13	.	.	PUNCT
ejpam-701	404	14	2005	2005	NUM
ejpam-701	404	15	.	.	PUNCT
ejpam-701	405	1	[	[	X
ejpam-701	405	2	2	2	NUM
ejpam-701	405	3	]	]	X
ejpam-701	405	4	r.	r.	PROPN
ejpam-701	405	5	aghalary	aghalary	PROPN
ejpam-701	405	6	,	,	PUNCT
ejpam-701	405	7	s.	s.	PROPN
ejpam-701	405	8	b.	b.	PROPN
ejpam-701	405	9	joshi	joshi	PROPN
ejpam-701	405	10	,	,	PUNCT
ejpam-701	405	11	r.n	r.n	PROPN
ejpam-701	405	12	.	.	PROPN
ejpam-701	405	13	mohapatra	mohapatra	PROPN
ejpam-701	405	14	and	and	CCONJ
ejpam-701	405	15	v.	v.	ADP
ejpam-701	405	16	ravichandran	ravichandran	NOUN
ejpam-701	405	17	,	,	PUNCT
ejpam-701	405	18	subordination	subordination	NOUN
ejpam-701	405	19	for	for	ADP
ejpam-701	405	20	analytic	analytic	ADJ
ejpam-701	405	21	functions	function	NOUN
ejpam-701	405	22	defined	define	VERB
ejpam-701	405	23	by	by	ADP
ejpam-701	405	24	dziok	dziok	NOUN
ejpam-701	405	25	-	-	PUNCT
ejpam-701	405	26	srivastava	srivastava	PROPN
ejpam-701	405	27	linear	linear	PROPN
ejpam-701	405	28	operator	operator	NOUN
ejpam-701	405	29	,	,	PUNCT
ejpam-701	405	30	appl	appl	PROPN
ejpam-701	405	31	.	.	PROPN
ejpam-701	405	32	math	math	PROPN
ejpam-701	405	33	.	.	PUNCT
ejpam-701	406	1	comput	comput	NOUN
ejpam-701	406	2	.	.	PUNCT
ejpam-701	406	3	,	,	PUNCT
ejpam-701	406	4	187	187	NUM
ejpam-701	406	5	,	,	PUNCT
ejpam-701	406	6	no	no	INTJ
ejpam-701	406	7	.	.	NOUN
ejpam-701	406	8	1	1	NUM
ejpam-701	406	9	,	,	PUNCT
ejpam-701	406	10	13	13	NUM
ejpam-701	406	11	-	-	SYM
ejpam-701	406	12	19	19	NUM
ejpam-701	406	13	.	.	NOUN
ejpam-701	406	14	2007	2007	NUM
ejpam-701	406	15	.	.	PUNCT
ejpam-701	407	1	[	[	X
ejpam-701	407	2	3	3	NUM
ejpam-701	407	3	]	]	X
ejpam-701	407	4	r.	r.	PROPN
ejpam-701	407	5	m.	m.	PROPN
ejpam-701	407	6	ali	ali	PROPN
ejpam-701	407	7	and	and	CCONJ
ejpam-701	407	8	v.	v.	ADP
ejpam-701	407	9	ravichandran	ravichandran	NOUN
ejpam-701	407	10	,	,	PUNCT
ejpam-701	407	11	differential	differential	ADJ
ejpam-701	407	12	subordination	subordination	NOUN
ejpam-701	407	13	for	for	ADP
ejpam-701	407	14	meromorphic	meromorphic	ADJ
ejpam-701	407	15	functions	function	NOUN
ejpam-701	407	16	defined	define	VERB
ejpam-701	407	17	by	by	ADP
ejpam-701	407	18	a	a	DET
ejpam-701	407	19	linear	linear	ADJ
ejpam-701	407	20	operator	operator	NOUN
ejpam-701	407	21	,	,	PUNCT
ejpam-701	407	22	j.	j.	PROPN
ejpam-701	407	23	anal	anal	PROPN
ejpam-701	407	24	.	.	PUNCT
ejpam-701	408	1	appl	appl	PROPN
ejpam-701	408	2	.	.	PROPN
ejpam-701	408	3	,	,	PUNCT
ejpam-701	408	4	2	2	NUM
ejpam-701	408	5	,	,	PUNCT
ejpam-701	408	6	no	no	INTJ
ejpam-701	408	7	.	.	NOUN
ejpam-701	408	8	,	,	PUNCT
ejpam-701	408	9	3	3	NUM
ejpam-701	408	10	,	,	PUNCT
ejpam-701	408	11	149	149	NUM
ejpam-701	408	12	-	-	SYM
ejpam-701	408	13	158	158	NUM
ejpam-701	408	14	.	.	PUNCT
ejpam-701	408	15	2009	2009	NUM
ejpam-701	408	16	.	.	PUNCT
ejpam-701	409	1	[	[	X
ejpam-701	409	2	4	4	NUM
ejpam-701	409	3	]	]	X
ejpam-701	409	4	r.	r.	PROPN
ejpam-701	409	5	m.	m.	PROPN
ejpam-701	409	6	ali	ali	PROPN
ejpam-701	409	7	,	,	PUNCT
ejpam-701	409	8	v.	v.	ADP
ejpam-701	409	9	ravichandran	ravichandran	NOUN
ejpam-701	409	10	and	and	CCONJ
ejpam-701	409	11	n.	n.	PROPN
ejpam-701	409	12	seenivasagan	seenivasagan	PROPN
ejpam-701	409	13	,	,	PUNCT
ejpam-701	409	14	differential	differential	ADJ
ejpam-701	409	15	subordination	subordination	NOUN
ejpam-701	409	16	and	and	CCONJ
ejpam-701	409	17	superordination	superordination	NOUN
ejpam-701	409	18	of	of	ADP
ejpam-701	409	19	of	of	ADP
ejpam-701	409	20	the	the	DET
ejpam-701	409	21	liu	liu	PROPN
ejpam-701	409	22	-	-	PUNCT
ejpam-701	409	23	srivastava	srivastava	PROPN
ejpam-701	409	24	linear	linear	PROPN
ejpam-701	409	25	operator	operator	NOUN
ejpam-701	409	26	on	on	ADP
ejpam-701	409	27	meromorphic	meromorphic	ADJ
ejpam-701	409	28	functions	function	NOUN
ejpam-701	409	29	,	,	PUNCT
ejpam-701	409	30	bull	bull	NOUN
ejpam-701	409	31	.	.	PUNCT
ejpam-701	410	1	malaysian	malaysian	ADJ
ejpam-701	410	2	math	math	PROPN
ejpam-701	410	3	.	.	PUNCT
ejpam-701	411	1	sci	sci	PROPN
ejpam-701	411	2	.	.	PROPN
ejpam-701	411	3	soc	soc	PROPN
ejpam-701	411	4	.	.	PUNCT
ejpam-701	412	1	,	,	PUNCT
ejpam-701	412	2	(	(	PUNCT
ejpam-701	412	3	2)31	2)31	NOUN
ejpam-701	412	4	,	,	PUNCT
ejpam-701	412	5	no	no	INTJ
ejpam-701	412	6	.	.	NOUN
ejpam-701	412	7	2	2	NUM
ejpam-701	412	8	,	,	PUNCT
ejpam-701	412	9	193	193	NUM
ejpam-701	412	10	-	-	SYM
ejpam-701	412	11	207	207	NUM
ejpam-701	412	12	.	.	PUNCT
ejpam-701	412	13	2008	2008	NUM
ejpam-701	412	14	.	.	PUNCT
ejpam-701	413	1	references	reference	NOUN
ejpam-701	413	2	1085	1085	NUM
ejpam-701	413	3	[	[	X
ejpam-701	413	4	5	5	NUM
ejpam-701	413	5	]	]	PUNCT
ejpam-701	413	6	r.	r.	PROPN
ejpam-701	413	7	m.	m.	PROPN
ejpam-701	413	8	ali	ali	PROPN
ejpam-701	413	9	,	,	PUNCT
ejpam-701	413	10	v.	v.	ADP
ejpam-701	413	11	ravichandran	ravichandran	NOUN
ejpam-701	413	12	and	and	CCONJ
ejpam-701	413	13	n.	n.	PROPN
ejpam-701	413	14	seenivasagan	seenivasagan	PROPN
ejpam-701	413	15	,	,	PUNCT
ejpam-701	413	16	differential	differential	ADJ
ejpam-701	413	17	subordination	subordination	NOUN
ejpam-701	413	18	and	and	CCONJ
ejpam-701	413	19	superordination	superordination	NOUN
ejpam-701	413	20	of	of	ADP
ejpam-701	413	21	analytic	analytic	ADJ
ejpam-701	413	22	functions	function	NOUN
ejpam-701	413	23	defined	define	VERB
ejpam-701	413	24	by	by	ADP
ejpam-701	413	25	the	the	DET
ejpam-701	413	26	multiplier	multipli	ADJ
ejpam-701	413	27	tranformation	tranformation	NOUN
ejpam-701	413	28	,	,	PUNCT
ejpam-701	413	29	math	math	NOUN
ejpam-701	413	30	.	.	PUNCT
ejpam-701	414	1	inequal	inequal	PROPN
ejpam-701	414	2	.	.	PUNCT
ejpam-701	415	1	appl	appl	PROPN
ejpam-701	415	2	.	.	PROPN
ejpam-701	415	3	,	,	PUNCT
ejpam-701	415	4	12	12	NUM
ejpam-701	415	5	,	,	PUNCT
ejpam-701	415	6	no	no	INTJ
ejpam-701	415	7	.	.	NOUN
ejpam-701	415	8	1	1	NUM
ejpam-701	415	9	,	,	PUNCT
ejpam-701	415	10	123	123	NUM
ejpam-701	415	11	-	-	SYM
ejpam-701	415	12	139	139	NUM
ejpam-701	415	13	.	.	PUNCT
ejpam-701	415	14	2009	2009	NUM
ejpam-701	415	15	.	.	PUNCT
ejpam-701	416	1	[	[	X
ejpam-701	416	2	6	6	NUM
ejpam-701	416	3	]	]	X
ejpam-701	416	4	m.k	m.k	PROPN
ejpam-701	416	5	.	.	PROPN
ejpam-701	416	6	aouf	aouf	PROPN
ejpam-701	416	7	.	.	PUNCT
ejpam-701	417	1	and	and	CCONJ
ejpam-701	417	2	h.m	h.m	PROPN
ejpam-701	417	3	.	.	PROPN
ejpam-701	417	4	hossen	hossen	PROPN
ejpam-701	417	5	,	,	PUNCT
ejpam-701	417	6	new	new	ADJ
ejpam-701	417	7	criteria	criterion	NOUN
ejpam-701	417	8	for	for	ADP
ejpam-701	417	9	meromorphic	meromorphic	ADJ
ejpam-701	417	10	p	p	PROPN
ejpam-701	417	11	-	-	PUNCT
ejpam-701	417	12	valent	valent	NOUN
ejpam-701	417	13	starlike	starlike	NOUN
ejpam-701	417	14	functions	function	NOUN
ejpam-701	417	15	,	,	PUNCT
ejpam-701	417	16	tsukuba	tsukuba	PROPN
ejpam-701	417	17	j.	j.	PROPN
ejpam-701	417	18	math	math	PROPN
ejpam-701	417	19	.	.	PUNCT
ejpam-701	418	1	17	17	NUM
ejpam-701	418	2	,	,	PUNCT
ejpam-701	418	3	481	481	NUM
ejpam-701	418	4	-	-	SYM
ejpam-701	418	5	486	486	NUM
ejpam-701	418	6	.	.	PUNCT
ejpam-701	419	1	1993	1993	NUM
ejpam-701	419	2	.	.	PUNCT
ejpam-701	420	1	[	[	X
ejpam-701	420	2	7	7	X
ejpam-701	420	3	]	]	X
ejpam-701	420	4	n.	n.	PROPN
ejpam-701	420	5	e.	e.	PROPN
ejpam-701	420	6	cho	cho	PROPN
ejpam-701	420	7	,	,	PUNCT
ejpam-701	420	8	o.	o.	PROPN
ejpam-701	420	9	s.	s.	PROPN
ejpam-701	420	10	kwon	kwon	PROPN
ejpam-701	420	11	,	,	PUNCT
ejpam-701	420	12	and	and	CCONJ
ejpam-701	420	13	h.	h.	PROPN
ejpam-701	420	14	m	m	PROPN
ejpam-701	420	15	srivastava	srivastava	PROPN
ejpam-701	420	16	,	,	PUNCT
ejpam-701	420	17	inclusion	inclusion	NOUN
ejpam-701	420	18	and	and	CCONJ
ejpam-701	420	19	argument	argument	NOUN
ejpam-701	420	20	propertie	propertie	ADJ
ejpam-701	420	21	for	for	ADP
ejpam-701	420	22	certain	certain	ADJ
ejpam-701	420	23	subclasses	subclass	NOUN
ejpam-701	420	24	of	of	ADP
ejpam-701	420	25	meromorphic	meromorphic	ADJ
ejpam-701	420	26	functions	function	NOUN
ejpam-701	420	27	associated	associate	VERB
ejpam-701	420	28	with	with	ADP
ejpam-701	420	29	a	a	DET
ejpam-701	420	30	family	family	NOUN
ejpam-701	420	31	of	of	ADP
ejpam-701	420	32	multiplier	multipli	ADJ
ejpam-701	420	33	transformations	transformation	NOUN
ejpam-701	420	34	,	,	PUNCT
ejpam-701	420	35	j.	j.	PROPN
ejpam-701	420	36	math	math	PROPN
ejpam-701	420	37	.	.	PUNCT
ejpam-701	421	1	anal	anal	PROPN
ejpam-701	421	2	.	.	PUNCT
ejpam-701	422	1	appl	appl	PROPN
ejpam-701	422	2	.	.	PROPN
ejpam-701	423	1	,300	,300	PROPN
ejpam-701	423	2	,	,	PUNCT
ejpam-701	424	1	505	505	NUM
ejpam-701	424	2	-	-	SYM
ejpam-701	424	3	520	520	NUM
ejpam-701	424	4	.	.	PUNCT
ejpam-701	424	5	2004	2004	NUM
ejpam-701	424	6	.	.	PUNCT
ejpam-701	425	1	[	[	X
ejpam-701	425	2	8	8	NUM
ejpam-701	425	3	]	]	X
ejpam-701	425	4	n.	n.	PROPN
ejpam-701	425	5	e.	e.	PROPN
ejpam-701	425	6	cho	cho	PROPN
ejpam-701	425	7	,	,	PUNCT
ejpam-701	425	8	o.	o.	PROPN
ejpam-701	425	9	s.	s.	PROPN
ejpam-701	425	10	known	known	PROPN
ejpam-701	425	11	and	and	CCONJ
ejpam-701	425	12	h.	h.	PROPN
ejpam-701	425	13	m.	m.	PROPN
ejpam-701	425	14	srivastava	srivastava	PROPN
ejpam-701	425	15	,	,	PUNCT
ejpam-701	425	16	inclusion	inclusion	NOUN
ejpam-701	425	17	relationships	relationship	NOUN
ejpam-701	425	18	for	for	ADP
ejpam-701	425	19	certain	certain	ADJ
ejpam-701	425	20	subclasses	subclass	NOUN
ejpam-701	425	21	of	of	ADP
ejpam-701	425	22	meromorphic	meromorphic	ADJ
ejpam-701	425	23	functions	function	NOUN
ejpam-701	425	24	associted	associte	VERB
ejpam-701	425	25	with	with	ADP
ejpam-701	425	26	a	a	DET
ejpam-701	425	27	family	family	NOUN
ejpam-701	425	28	of	of	ADP
ejpam-701	425	29	multiplier	multipli	ADJ
ejpam-701	425	30	transformations	transformation	NOUN
ejpam-701	425	31	,	,	PUNCT
ejpam-701	425	32	integral	integral	ADJ
ejpam-701	425	33	transforms	transform	VERB
ejpam-701	425	34	special	special	ADJ
ejpam-701	425	35	functions	function	NOUN
ejpam-701	425	36	,	,	PUNCT
ejpam-701	425	37	16	16	NUM
ejpam-701	425	38	,	,	PUNCT
ejpam-701	425	39	no	no	INTJ
ejpam-701	425	40	.	.	NOUN
ejpam-701	425	41	18	18	NUM
ejpam-701	425	42	,	,	PUNCT
ejpam-701	425	43	647	647	NUM
ejpam-701	425	44	-	-	SYM
ejpam-701	425	45	659	659	NUM
ejpam-701	425	46	.	.	NUM
ejpam-701	425	47	2005	2005	NUM
ejpam-701	425	48	.	.	PUNCT
ejpam-701	426	1	[	[	X
ejpam-701	426	2	9	9	NUM
ejpam-701	426	3	]	]	X
ejpam-701	426	4	r.	r.	PROPN
ejpam-701	426	5	m.	m.	PROPN
ejpam-701	426	6	el	el	PROPN
ejpam-701	426	7	-	-	PUNCT
ejpam-701	426	8	ashwah	ashwah	NOUN
ejpam-701	426	9	,	,	PUNCT
ejpam-701	426	10	a	a	DET
ejpam-701	426	11	note	note	NOUN
ejpam-701	426	12	on	on	ADP
ejpam-701	426	13	certain	certain	ADJ
ejpam-701	426	14	meromorphicp	meromorphicp	ADJ
ejpam-701	426	15	-	-	PUNCT
ejpam-701	426	16	valent	valent	NOUN
ejpam-701	426	17	functions	function	NOUN
ejpam-701	426	18	,	,	PUNCT
ejpam-701	426	19	appl	appl	PROPN
ejpam-701	426	20	.	.	PROPN
ejpam-701	426	21	math	math	PROPN
ejpam-701	426	22	.	.	PUNCT
ejpam-701	427	1	letters	letter	NOUN
ejpam-701	427	2	22	22	NUM
ejpam-701	427	3	,	,	PUNCT
ejpam-701	427	4	1756	1756	NUM
ejpam-701	427	5	-	-	SYM
ejpam-701	427	6	1759	1759	NUM
ejpam-701	427	7	.	.	PUNCT
ejpam-701	428	1	2009	2009	NUM
ejpam-701	428	2	.	.	PUNCT
ejpam-701	429	1	[	[	X
ejpam-701	429	2	10	10	NUM
ejpam-701	429	3	]	]	X
ejpam-701	429	4	y.	y.	PROPN
ejpam-701	429	5	c.	c.	PROPN
ejpam-701	429	6	kim	kim	PROPN
ejpam-701	429	7	and	and	CCONJ
ejpam-701	429	8	h.	h.	PROPN
ejpam-701	429	9	m.	m.	PROPN
ejpam-701	429	10	srivastava	srivastava	PROPN
ejpam-701	429	11	,	,	PUNCT
ejpam-701	429	12	inequalities	inequality	NOUN
ejpam-701	429	13	involving	involve	VERB
ejpam-701	429	14	certain	certain	ADJ
ejpam-701	429	15	families	family	NOUN
ejpam-701	429	16	of	of	ADP
ejpam-701	429	17	integral	integral	ADJ
ejpam-701	429	18	and	and	CCONJ
ejpam-701	429	19	convolution	convolution	NOUN
ejpam-701	429	20	operators	operator	NOUN
ejpam-701	429	21	,	,	PUNCT
ejpam-701	429	22	math	math	NOUN
ejpam-701	429	23	.	.	PUNCT
ejpam-701	430	1	inequal	inequal	PROPN
ejpam-701	430	2	.	.	PUNCT
ejpam-701	431	1	appl	appl	PROPN
ejpam-701	431	2	.	.	PROPN
ejpam-701	432	1	7	7	NUM
ejpam-701	432	2	,	,	PUNCT
ejpam-701	432	3	no	no	INTJ
ejpam-701	432	4	.	.	NOUN
ejpam-701	432	5	2	2	NUM
ejpam-701	432	6	,	,	PUNCT
ejpam-701	432	7	227	227	NUM
ejpam-701	432	8	-	-	SYM
ejpam-701	432	9	234	234	NUM
ejpam-701	432	10	.	.	PUNCT
ejpam-701	433	1	2004	2004	NUM
ejpam-701	433	2	.	.	PUNCT
ejpam-701	434	1	[	[	X
ejpam-701	434	2	11	11	NUM
ejpam-701	434	3	]	]	X
ejpam-701	434	4	j.l	j.l	PROPN
ejpam-701	434	5	.	.	PROPN
ejpam-701	434	6	liu	liu	PROPN
ejpam-701	434	7	and	and	CCONJ
ejpam-701	434	8	s.	s.	PROPN
ejpam-701	434	9	owa	owa	PROPN
ejpam-701	434	10	,	,	PUNCT
ejpam-701	434	11	on	on	ADP
ejpam-701	434	12	certain	certain	ADJ
ejpam-701	434	13	meromorphic	meromorphic	ADJ
ejpam-701	434	14	p	p	PROPN
ejpam-701	434	15	-	-	PUNCT
ejpam-701	434	16	valent	valent	NOUN
ejpam-701	434	17	functions	function	NOUN
ejpam-701	434	18	,	,	PUNCT
ejpam-701	434	19	taiwanese	taiwanese	PROPN
ejpam-701	434	20	j.	j.	PROPN
ejpam-701	434	21	math	math	PROPN
ejpam-701	434	22	.	.	PUNCT
ejpam-701	435	1	2	2	NUM
ejpam-701	435	2	,	,	PUNCT
ejpam-701	435	3	no	no	INTJ
ejpam-701	435	4	.	.	NOUN
ejpam-701	435	5	1	1	NUM
ejpam-701	435	6	,	,	PUNCT
ejpam-701	435	7	107	107	NUM
ejpam-701	435	8	-	-	SYM
ejpam-701	435	9	110	110	NUM
ejpam-701	435	10	.	.	PUNCT
ejpam-701	436	1	1998	1998	NUM
ejpam-701	436	2	.	.	PUNCT
ejpam-701	437	1	[	[	X
ejpam-701	437	2	12	12	NUM
ejpam-701	437	3	]	]	X
ejpam-701	437	4	j.l	j.l	PROPN
ejpam-701	437	5	.	.	PROPN
ejpam-701	437	6	liu	liu	PROPN
ejpam-701	437	7	and	and	CCONJ
ejpam-701	437	8	h.m	h.m	PROPN
ejpam-701	437	9	.	.	PROPN
ejpam-701	437	10	srivastava	srivastava	PROPN
ejpam-701	437	11	,	,	PUNCT
ejpam-701	437	12	subclasses	subclass	NOUN
ejpam-701	437	13	of	of	ADP
ejpam-701	437	14	meromorphiclly	meromorphiclly	ADV
ejpam-701	437	15	multivalent	multivalent	NOUN
ejpam-701	437	16	functions	function	NOUN
ejpam-701	437	17	associated	associate	VERB
ejpam-701	437	18	with	with	ADP
ejpam-701	437	19	certain	certain	ADJ
ejpam-701	437	20	linear	linear	ADJ
ejpam-701	437	21	operator	operator	NOUN
ejpam-701	437	22	,	,	PUNCT
ejpam-701	437	23	math	math	NOUN
ejpam-701	437	24	.	.	PUNCT
ejpam-701	438	1	comput	comput	NOUN
ejpam-701	438	2	.	.	PUNCT
ejpam-701	439	1	modelling	model	VERB
ejpam-701	439	2	39	39	NUM
ejpam-701	439	3	,	,	PUNCT
ejpam-701	439	4	no	no	INTJ
ejpam-701	439	5	.	.	NOUN
ejpam-701	439	6	1	1	NUM
ejpam-701	439	7	,	,	PUNCT
ejpam-701	439	8	35	35	NUM
ejpam-701	439	9	-	-	SYM
ejpam-701	439	10	44	44	NUM
ejpam-701	439	11	.	.	PUNCT
ejpam-701	439	12	2004	2004	NUM
ejpam-701	439	13	.	.	PUNCT
ejpam-701	440	1	[	[	X
ejpam-701	440	2	13	13	NUM
ejpam-701	440	3	]	]	PUNCT
ejpam-701	440	4	s.	s.	PROPN
ejpam-701	440	5	s.	s.	PROPN
ejpam-701	440	6	miller	miller	PROPN
ejpam-701	440	7	and	and	CCONJ
ejpam-701	440	8	p.	p.	PROPN
ejpam-701	440	9	t.	t.	PROPN
ejpam-701	440	10	mocanu	mocanu	PROPN
ejpam-701	440	11	,	,	PUNCT
ejpam-701	440	12	second	second	ADJ
ejpam-701	440	13	order	order	NOUN
ejpam-701	440	14	differential	differential	ADJ
ejpam-701	440	15	inequalities	inequality	NOUN
ejpam-701	440	16	in	in	ADP
ejpam-701	440	17	the	the	DET
ejpam-701	440	18	complex	complex	ADJ
ejpam-701	440	19	plane	plane	NOUN
ejpam-701	440	20	,	,	PUNCT
ejpam-701	440	21	j.	j.	PROPN
ejpam-701	440	22	math	math	PROPN
ejpam-701	440	23	.	.	PUNCT
ejpam-701	441	1	anal	anal	PROPN
ejpam-701	441	2	.	.	PUNCT
ejpam-701	442	1	appl	appl	PROPN
ejpam-701	442	2	.	.	PROPN
ejpam-701	443	1	65	65	NUM
ejpam-701	443	2	,	,	PUNCT
ejpam-701	443	3	289	289	NUM
ejpam-701	443	4	-	-	SYM
ejpam-701	443	5	305	305	NUM
ejpam-701	443	6	.	.	PUNCT
ejpam-701	444	1	1978	1978	NUM
ejpam-701	444	2	.	.	PUNCT
ejpam-701	445	1	[	[	X
ejpam-701	445	2	14	14	NUM
ejpam-701	445	3	]	]	PUNCT
ejpam-701	445	4	s.	s.	PROPN
ejpam-701	445	5	s.	s.	PROPN
ejpam-701	445	6	miller	miller	PROPN
ejpam-701	445	7	and	and	CCONJ
ejpam-701	445	8	p.	p.	PROPN
ejpam-701	445	9	t.	t.	PROPN
ejpam-701	445	10	mocanu	mocanu	PROPN
ejpam-701	445	11	,	,	PUNCT
ejpam-701	445	12	differential	differential	ADJ
ejpam-701	445	13	subordinations	subordination	NOUN
ejpam-701	445	14	:	:	PUNCT
ejpam-701	445	15	theory	theory	NOUN
ejpam-701	445	16	and	and	CCONJ
ejpam-701	445	17	applications	application	NOUN
ejpam-701	445	18	,	,	PUNCT
ejpam-701	445	19	series	series	NOUN
ejpam-701	445	20	on	on	ADP
ejpam-701	445	21	monograhps	monograhps	NOUN
ejpam-701	445	22	and	and	CCONJ
ejpam-701	445	23	texbooks	texbook	VERB
ejpam-701	445	24	in	in	ADP
ejpam-701	445	25	pure	pure	ADJ
ejpam-701	445	26	and	and	CCONJ
ejpam-701	445	27	appl	appl	NOUN
ejpam-701	445	28	.	.	PROPN
ejpam-701	445	29	math	math	NOUN
ejpam-701	445	30	.	.	PUNCT
ejpam-701	446	1	no	no	INTJ
ejpam-701	446	2	.	.	NOUN
ejpam-701	446	3	225	225	NUM
ejpam-701	446	4	marcel	marcel	PROPN
ejpam-701	446	5	dekker	dekker	PROPN
ejpam-701	446	6	,	,	PUNCT
ejpam-701	446	7	inc	inc	PROPN
ejpam-701	446	8	.	.	PROPN
ejpam-701	446	9	new	new	PROPN
ejpam-701	446	10	york	york	PROPN
ejpam-701	446	11	,	,	PUNCT
ejpam-701	446	12	2000	2000	NUM
ejpam-701	446	13	.	.	PUNCT
ejpam-701	447	1	[	[	X
ejpam-701	447	2	15	15	NUM
ejpam-701	447	3	]	]	X
ejpam-701	447	4	s.	s.	PROPN
ejpam-701	447	5	s.	s.	PROPN
ejpam-701	447	6	miller	miller	PROPN
ejpam-701	447	7	and	and	CCONJ
ejpam-701	447	8	p.	p.	PROPN
ejpam-701	447	9	t.	t.	PROPN
ejpam-701	447	10	mocanu	mocanu	PROPN
ejpam-701	447	11	,	,	PUNCT
ejpam-701	447	12	subordinants	subordinant	NOUN
ejpam-701	447	13	of	of	ADP
ejpam-701	447	14	differential	differential	ADJ
ejpam-701	447	15	superordinations	superordination	NOUN
ejpam-701	447	16	,	,	PUNCT
ejpam-701	447	17	complex	complex	ADJ
ejpam-701	447	18	var	var	NOUN
ejpam-701	447	19	.	.	PUNCT
ejpam-701	448	1	theory	theory	NOUN
ejpam-701	448	2	appl	appl	PROPN
ejpam-701	448	3	.	.	PUNCT
ejpam-701	449	1	48	48	NUM
ejpam-701	449	2	,	,	PUNCT
ejpam-701	449	3	no	no	INTJ
ejpam-701	449	4	.	.	NOUN
ejpam-701	449	5	10	10	NUM
ejpam-701	449	6	,	,	PUNCT
ejpam-701	449	7	815	815	NUM
ejpam-701	449	8	-	-	SYM
ejpam-701	449	9	826	826	NUM
ejpam-701	449	10	.	.	PUNCT
ejpam-701	450	1	2003	2003	NUM
ejpam-701	450	2	.	.	PUNCT
ejpam-701	451	1	[	[	X
ejpam-701	451	2	16	16	NUM
ejpam-701	451	3	]	]	X
ejpam-701	451	4	h.	h.	PROPN
ejpam-701	451	5	m.	m.	PROPN
ejpam-701	451	6	srivastava	srivastava	PROPN
ejpam-701	451	7	and	and	CCONJ
ejpam-701	451	8	j.	j.	PROPN
ejpam-701	451	9	patel	patel	PROPN
ejpam-701	451	10	,	,	PUNCT
ejpam-701	451	11	applications	application	NOUN
ejpam-701	451	12	of	of	ADP
ejpam-701	451	13	differential	differential	ADJ
ejpam-701	451	14	subordination	subordination	NOUN
ejpam-701	451	15	to	to	ADP
ejpam-701	451	16	certain	certain	ADJ
ejpam-701	451	17	classes	class	NOUN
ejpam-701	451	18	of	of	ADP
ejpam-701	451	19	meromorphicaly	meromorphicaly	PROPN
ejpam-701	451	20	multivalent	multivalent	PROPN
ejpam-701	451	21	functions	function	NOUN
ejpam-701	451	22	,	,	PUNCT
ejpam-701	451	23	j.	j.	PROPN
ejpam-701	451	24	ineq	ineq	PROPN
ejpam-701	451	25	.	.	PUNCT
ejpam-701	452	1	pure	pure	ADJ
ejpam-701	452	2	appl	appl	PROPN
ejpam-701	452	3	.	.	PUNCT
ejpam-701	452	4	math	math	PROPN
ejpam-701	452	5	.	.	PUNCT
ejpam-701	453	1	,	,	PUNCT
ejpam-701	453	2	6	6	NUM
ejpam-701	453	3	,	,	PUNCT
ejpam-701	453	4	no	no	INTJ
ejpam-701	453	5	.	.	NOUN
ejpam-701	453	6	3	3	NUM
ejpam-701	453	7	,	,	PUNCT
ejpam-701	453	8	art	art	NOUN
ejpam-701	453	9	.	.	PUNCT
ejpam-701	454	1	88	88	NUM
ejpam-701	454	2	,	,	PUNCT
ejpam-701	454	3	pp.15	pp.15	PROPN
ejpam-701	454	4	.	.	PUNCT
ejpam-701	455	1	2005	2005	NUM
ejpam-701	455	2	.	.	PUNCT
ejpam-701	456	1	[	[	X
ejpam-701	456	2	17	17	NUM
ejpam-701	456	3	]	]	X
ejpam-701	456	4	b.	b.	PROPN
ejpam-701	456	5	a.	a.	PROPN
ejpam-701	456	6	uralegaddi	uralegaddi	PROPN
ejpam-701	456	7	and	and	CCONJ
ejpam-701	456	8	c.	c.	PROPN
ejpam-701	456	9	somanatha	somanatha	PROPN
ejpam-701	456	10	,	,	PUNCT
ejpam-701	456	11	new	new	ADJ
ejpam-701	456	12	criteria	criterion	NOUN
ejpam-701	456	13	for	for	ADP
ejpam-701	456	14	memorphic	memorphic	ADJ
ejpam-701	456	15	starlike	starlike	ADJ
ejpam-701	456	16	univalent	univalent	ADJ
ejpam-701	456	17	functions	function	NOUN
ejpam-701	456	18	,	,	PUNCT
ejpam-701	456	19	bull	bull	NOUN
ejpam-701	456	20	.	.	PUNCT
ejpam-701	457	1	austral	austral	PROPN
ejpam-701	457	2	.	.	PUNCT
ejpam-701	458	1	math	math	NOUN
ejpam-701	458	2	.	.	PUNCT
ejpam-701	459	1	soc	soc	PROPN
ejpam-701	459	2	.	.	PUNCT
ejpam-701	460	1	43	43	NUM
ejpam-701	460	2	,	,	PUNCT
ejpam-701	460	3	137	137	NUM
ejpam-701	460	4	-	-	SYM
ejpam-701	460	5	140	140	NUM
ejpam-701	460	6	.	.	NOUN
ejpam-701	460	7	1991	1991	NUM
ejpam-701	460	8	.	.	PUNCT