id	sid	tid	token	lemma	pos
ejpam-540	1	1	1_540_aouf.dvi	1_540_aouf.dvi	NUM
ejpam-540	1	2	european	european	ADJ
ejpam-540	1	3	journal	journal	NOUN
ejpam-540	1	4	of	of	ADP
ejpam-540	1	5	pure	pure	ADJ
ejpam-540	1	6	and	and	CCONJ
ejpam-540	1	7	applied	apply	VERB
ejpam-540	1	8	mathematics	mathematic	NOUN
ejpam-540	1	9	vol	vol	NOUN
ejpam-540	1	10	.	.	PROPN
ejpam-540	2	1	4	4	NUM
ejpam-540	2	2	,	,	PUNCT
ejpam-540	2	3	no	no	INTJ
ejpam-540	2	4	.	.	NOUN
ejpam-540	2	5	1	1	NUM
ejpam-540	2	6	,	,	PUNCT
ejpam-540	2	7	2011	2011	NUM
ejpam-540	2	8	,	,	PUNCT
ejpam-540	2	9	1	1	NUM
ejpam-540	2	10	-	-	SYM
ejpam-540	2	11	13	13	NUM
ejpam-540	2	12	issn	issn	PROPN
ejpam-540	2	13	1307	1307	NUM
ejpam-540	2	14	-	-	SYM
ejpam-540	2	15	5543	5543	NUM
ejpam-540	2	16	–	–	PUNCT
ejpam-540	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-540	2	18	differential	differential	VERB
ejpam-540	2	19	sandwich	sandwich	NOUN
ejpam-540	2	20	theorems	theorem	NOUN
ejpam-540	2	21	of	of	ADP
ejpam-540	2	22	analytic	analytic	ADJ
ejpam-540	2	23	functions	function	NOUN
ejpam-540	2	24	defined	define	VERB
ejpam-540	2	25	by	by	ADP
ejpam-540	2	26	linear	linear	PROPN
ejpam-540	2	27	operators	operator	NOUN
ejpam-540	2	28	m.	m.	PROPN
ejpam-540	2	29	k.	k.	PROPN
ejpam-540	2	30	aouf	aouf	PROPN
ejpam-540	3	1	1,∗	1,∗	NUM
ejpam-540	3	2	,	,	PUNCT
ejpam-540	3	3	tamer	tame	ADJ
ejpam-540	3	4	m.	m.	NOUN
ejpam-540	3	5	seoudy	seoudy	VERB
ejpam-540	3	6	2	2	NUM
ejpam-540	3	7	1	1	NUM
ejpam-540	3	8	department	department	NOUN
ejpam-540	3	9	of	of	ADP
ejpam-540	3	10	mathematics	mathematic	NOUN
ejpam-540	3	11	,	,	PUNCT
ejpam-540	3	12	faculty	faculty	NOUN
ejpam-540	3	13	of	of	ADP
ejpam-540	3	14	science	science	NOUN
ejpam-540	3	15	,	,	PUNCT
ejpam-540	3	16	mansoura	mansoura	PROPN
ejpam-540	3	17	university	university	NOUN
ejpam-540	3	18	,	,	PUNCT
ejpam-540	3	19	mansoura	mansoura	NOUN
ejpam-540	3	20	35516	35516	NUM
ejpam-540	3	21	,	,	PUNCT
ejpam-540	3	22	egypt	egypt	PROPN
ejpam-540	3	23	2	2	NUM
ejpam-540	3	24	department	department	NOUN
ejpam-540	3	25	of	of	ADP
ejpam-540	3	26	mathematics	mathematic	NOUN
ejpam-540	3	27	,	,	PUNCT
ejpam-540	3	28	faculty	faculty	NOUN
ejpam-540	3	29	of	of	ADP
ejpam-540	3	30	science	science	NOUN
ejpam-540	3	31	,	,	PUNCT
ejpam-540	3	32	fayoum	fayoum	PROPN
ejpam-540	3	33	university	university	PROPN
ejpam-540	3	34	,	,	PUNCT
ejpam-540	3	35	fayoum	fayoum	PROPN
ejpam-540	3	36	63514	63514	NUM
ejpam-540	3	37	,	,	PUNCT
ejpam-540	3	38	egypt	egypt	PROPN
ejpam-540	3	39	abstract	abstract	PROPN
ejpam-540	3	40	.	.	PUNCT
ejpam-540	4	1	in	in	ADP
ejpam-540	4	2	this	this	DET
ejpam-540	4	3	paper	paper	NOUN
ejpam-540	4	4	,	,	PUNCT
ejpam-540	4	5	we	we	PRON
ejpam-540	4	6	obtain	obtain	VERB
ejpam-540	4	7	some	some	DET
ejpam-540	4	8	applications	application	NOUN
ejpam-540	4	9	of	of	ADP
ejpam-540	4	10	first	first	ADJ
ejpam-540	4	11	order	order	NOUN
ejpam-540	4	12	differential	differential	ADJ
ejpam-540	4	13	subordination	subordination	NOUN
ejpam-540	4	14	and	and	CCONJ
ejpam-540	4	15	superordination	superordination	NOUN
ejpam-540	4	16	results	result	NOUN
ejpam-540	4	17	involving	involve	VERB
ejpam-540	4	18	a	a	DET
ejpam-540	4	19	linear	linear	ADJ
ejpam-540	4	20	operator	operator	NOUN
ejpam-540	4	21	and	and	CCONJ
ejpam-540	4	22	other	other	ADJ
ejpam-540	4	23	linear	linear	PROPN
ejpam-540	4	24	operators	operator	NOUN
ejpam-540	4	25	for	for	ADP
ejpam-540	4	26	certain	certain	ADJ
ejpam-540	4	27	normalized	normalize	VERB
ejpam-540	4	28	analytic	analytic	ADJ
ejpam-540	4	29	functions	function	NOUN
ejpam-540	4	30	.	.	PUNCT
ejpam-540	5	1	some	some	PRON
ejpam-540	5	2	of	of	ADP
ejpam-540	5	3	our	our	PRON
ejpam-540	5	4	results	result	NOUN
ejpam-540	5	5	generalize	generalize	VERB
ejpam-540	5	6	previously	previously	ADV
ejpam-540	5	7	known	know	VERB
ejpam-540	5	8	results	result	NOUN
ejpam-540	5	9	.	.	PUNCT
ejpam-540	6	1	2000	2000	NUM
ejpam-540	6	2	mathematics	mathematic	NOUN
ejpam-540	6	3	subject	subject	NOUN
ejpam-540	6	4	classifications	classification	NOUN
ejpam-540	6	5	:	:	PUNCT
ejpam-540	6	6	30c45	30c45	NUM
ejpam-540	6	7	key	key	ADJ
ejpam-540	6	8	words	word	NOUN
ejpam-540	6	9	and	and	CCONJ
ejpam-540	6	10	phrases	phrase	NOUN
ejpam-540	6	11	:	:	PUNCT
ejpam-540	6	12	analytic	analytic	ADJ
ejpam-540	6	13	function	function	NOUN
ejpam-540	6	14	,	,	PUNCT
ejpam-540	6	15	hadamard	hadamard	ADJ
ejpam-540	6	16	product	product	NOUN
ejpam-540	6	17	,	,	PUNCT
ejpam-540	6	18	differential	differential	ADJ
ejpam-540	6	19	subordination	subordination	NOUN
ejpam-540	6	20	,	,	PUNCT
ejpam-540	6	21	superordination	superordination	NOUN
ejpam-540	6	22	,	,	PUNCT
ejpam-540	6	23	linear	linear	ADJ
ejpam-540	6	24	operator	operator	NOUN
ejpam-540	6	25	1	1	NUM
ejpam-540	6	26	.	.	PUNCT
ejpam-540	7	1	introduction	introduction	NOUN
ejpam-540	7	2	let	let	VERB
ejpam-540	7	3	h	h	PROPN
ejpam-540	7	4	(	(	PUNCT
ejpam-540	7	5	u	u	NOUN
ejpam-540	7	6	)	)	PUNCT
ejpam-540	7	7	be	be	VERB
ejpam-540	7	8	the	the	DET
ejpam-540	7	9	class	class	NOUN
ejpam-540	7	10	of	of	ADP
ejpam-540	7	11	analytic	analytic	ADJ
ejpam-540	7	12	functions	function	NOUN
ejpam-540	7	13	in	in	ADP
ejpam-540	7	14	the	the	DET
ejpam-540	7	15	open	open	ADJ
ejpam-540	7	16	unit	unit	NOUN
ejpam-540	7	17	disk	disk	NOUN
ejpam-540	7	18	u	u	NOUN
ejpam-540	7	19	=	=	PUNCT
ejpam-540	7	20	{	{	PUNCT
ejpam-540	7	21	z	z	PROPN
ejpam-540	7	22	∈	∈	PROPN
ejpam-540	7	23	c	c	NOUN
ejpam-540	7	24	:	:	PUNCT
ejpam-540	7	25	|z|	|z|	VERB
ejpam-540	7	26	<	<	X
ejpam-540	7	27	1	1	NUM
ejpam-540	7	28	}	}	PUNCT
ejpam-540	7	29	and	and	CCONJ
ejpam-540	7	30	let	let	VERB
ejpam-540	7	31	h[a	h[a	NUM
ejpam-540	7	32	,	,	PUNCT
ejpam-540	7	33	k	k	X
ejpam-540	7	34	]	]	X
ejpam-540	7	35	be	be	AUX
ejpam-540	7	36	the	the	DET
ejpam-540	7	37	subclass	subclass	NOUN
ejpam-540	7	38	of	of	ADP
ejpam-540	7	39	h	h	PROPN
ejpam-540	7	40	(	(	PUNCT
ejpam-540	7	41	u	u	NOUN
ejpam-540	7	42	)	)	PUNCT
ejpam-540	7	43	consisting	consist	VERB
ejpam-540	7	44	of	of	ADP
ejpam-540	7	45	functions	function	NOUN
ejpam-540	7	46	of	of	ADP
ejpam-540	7	47	the	the	DET
ejpam-540	7	48	form	form	NOUN
ejpam-540	7	49	:	:	PUNCT
ejpam-540	7	50	f	f	PROPN
ejpam-540	7	51	(	(	PUNCT
ejpam-540	7	52	z	z	NOUN
ejpam-540	7	53	)	)	PUNCT
ejpam-540	7	54	=	=	SYM
ejpam-540	7	55	a+	a+	PUNCT
ejpam-540	7	56	akzk	akzk	NOUN
ejpam-540	7	57	+	+	CCONJ
ejpam-540	7	58	ak+1zk+1	ak+1zk+1	NOUN
ejpam-540	7	59	.	.	PUNCT
ejpam-540	7	60	.	.	PUNCT
ejpam-540	7	61	.	.	PUNCT
ejpam-540	8	1	(	(	PUNCT
ejpam-540	8	2	a	a	DET
ejpam-540	8	3	∈	∈	PROPN
ejpam-540	8	4	c	c	NOUN
ejpam-540	8	5	)	)	PUNCT
ejpam-540	8	6	.	.	PUNCT
ejpam-540	9	1	(	(	PUNCT
ejpam-540	9	2	1	1	X
ejpam-540	9	3	)	)	PUNCT
ejpam-540	9	4	for	for	ADP
ejpam-540	9	5	simplicity	simplicity	NOUN
ejpam-540	9	6	h[a	h[a	NOUN
ejpam-540	9	7	]	]	X
ejpam-540	9	8	=	=	SYM
ejpam-540	9	9	h[a	h[a	NOUN
ejpam-540	9	10	,	,	PUNCT
ejpam-540	9	11	1	1	NUM
ejpam-540	9	12	]	]	PUNCT
ejpam-540	9	13	.	.	PUNCT
ejpam-540	10	1	also	also	ADV
ejpam-540	10	2	,	,	PUNCT
ejpam-540	10	3	leta	leta	PROPN
ejpam-540	10	4	be	be	VERB
ejpam-540	10	5	the	the	DET
ejpam-540	10	6	subclass	subclass	NOUN
ejpam-540	10	7	of	of	ADP
ejpam-540	10	8	h	h	PROPN
ejpam-540	10	9	(	(	PUNCT
ejpam-540	10	10	u	u	NOUN
ejpam-540	10	11	)	)	PUNCT
ejpam-540	10	12	consisting	consist	VERB
ejpam-540	10	13	of	of	ADP
ejpam-540	10	14	functions	function	NOUN
ejpam-540	10	15	of	of	ADP
ejpam-540	10	16	the	the	DET
ejpam-540	10	17	form	form	NOUN
ejpam-540	10	18	:	:	PUNCT
ejpam-540	10	19	f	f	PROPN
ejpam-540	10	20	(	(	PUNCT
ejpam-540	10	21	z	z	NOUN
ejpam-540	10	22	)	)	PUNCT
ejpam-540	10	23	=	=	SYM
ejpam-540	11	1	z	z	NOUN
ejpam-540	12	1	+	+	NUM
ejpam-540	12	2	∞	∞	NUM
ejpam-540	12	3	∑	∑	PROPN
ejpam-540	12	4	k=2	k=2	PROPN
ejpam-540	12	5	akzk	akzk	PROPN
ejpam-540	12	6	.	.	PUNCT
ejpam-540	13	1	(	(	PUNCT
ejpam-540	13	2	2	2	X
ejpam-540	13	3	)	)	PUNCT
ejpam-540	13	4	if	if	SCONJ
ejpam-540	13	5	f	f	PROPN
ejpam-540	13	6	,	,	PUNCT
ejpam-540	13	7	g	g	PROPN
ejpam-540	13	8	∈	∈	PROPN
ejpam-540	13	9	h	h	NOUN
ejpam-540	13	10	(	(	PUNCT
ejpam-540	13	11	u	u	NOUN
ejpam-540	13	12	)	)	PUNCT
ejpam-540	13	13	,	,	PUNCT
ejpam-540	13	14	we	we	PRON
ejpam-540	13	15	say	say	VERB
ejpam-540	13	16	that	that	SCONJ
ejpam-540	13	17	f	f	PROPN
ejpam-540	13	18	is	be	AUX
ejpam-540	13	19	subordinate	subordinate	ADJ
ejpam-540	13	20	to	to	ADP
ejpam-540	13	21	g	g	PROPN
ejpam-540	13	22	or	or	CCONJ
ejpam-540	13	23	f	f	PROPN
ejpam-540	13	24	is	be	AUX
ejpam-540	13	25	superordinate	superordinate	ADJ
ejpam-540	13	26	to	to	ADP
ejpam-540	13	27	g	g	NOUN
ejpam-540	13	28	,	,	PUNCT
ejpam-540	14	1	written	write	VERB
ejpam-540	14	2	f	f	PROPN
ejpam-540	14	3	(	(	PUNCT
ejpam-540	14	4	z	z	NOUN
ejpam-540	14	5	)	)	PUNCT
ejpam-540	14	6	≺	≺	NOUN
ejpam-540	14	7	g(z	g(z	PROPN
ejpam-540	14	8	)	)	PUNCT
ejpam-540	14	9	if	if	SCONJ
ejpam-540	14	10	there	there	PRON
ejpam-540	14	11	exists	exist	VERB
ejpam-540	14	12	a	a	DET
ejpam-540	14	13	schwarz	schwarz	PROPN
ejpam-540	14	14	function	function	PROPN
ejpam-540	14	15	ω	ω	PROPN
ejpam-540	14	16	,	,	PUNCT
ejpam-540	14	17	which	which	PRON
ejpam-540	14	18	(	(	PUNCT
ejpam-540	14	19	by	by	ADP
ejpam-540	14	20	definition	definition	NOUN
ejpam-540	14	21	)	)	PUNCT
ejpam-540	14	22	is	be	AUX
ejpam-540	14	23	analytic	analytic	ADJ
ejpam-540	14	24	in	in	ADP
ejpam-540	14	25	u	u	NOUN
ejpam-540	14	26	with	with	ADP
ejpam-540	14	27	ω(0	ω(0	PROPN
ejpam-540	14	28	)	)	PUNCT
ejpam-540	14	29	=	=	SYM
ejpam-540	14	30	0	0	NUM
ejpam-540	14	31	and	and	CCONJ
ejpam-540	14	32	|ω(z)|	|ω(z)|	X
ejpam-540	14	33	<	<	X
ejpam-540	14	34	1	1	NUM
ejpam-540	14	35	for	for	ADP
ejpam-540	14	36	all	all	DET
ejpam-540	14	37	z	z	NOUN
ejpam-540	14	38	∈	∈	PROPN
ejpam-540	14	39	u	u	NOUN
ejpam-540	14	40	,	,	PUNCT
ejpam-540	14	41	such	such	ADJ
ejpam-540	14	42	that	that	SCONJ
ejpam-540	14	43	f	f	PROPN
ejpam-540	14	44	(	(	PUNCT
ejpam-540	14	45	z	z	NOUN
ejpam-540	14	46	)	)	PUNCT
ejpam-540	14	47	=	=	SYM
ejpam-540	14	48	g(ω(z	g(ω(z	ADJ
ejpam-540	14	49	)	)	PUNCT
ejpam-540	14	50	)	)	PUNCT
ejpam-540	14	51	,	,	PUNCT
ejpam-540	14	52	z	z	PROPN
ejpam-540	14	53	∈	∈	PROPN
ejpam-540	14	54	u	u	NOUN
ejpam-540	14	55	.	.	PUNCT
ejpam-540	15	1	furthermore	furthermore	ADV
ejpam-540	15	2	,	,	PUNCT
ejpam-540	15	3	if	if	SCONJ
ejpam-540	15	4	the	the	DET
ejpam-540	15	5	function	function	NOUN
ejpam-540	15	6	g	g	PROPN
ejpam-540	15	7	is	be	AUX
ejpam-540	15	8	univalent	univalent	ADJ
ejpam-540	15	9	in	in	ADP
ejpam-540	15	10	u	u	PROPN
ejpam-540	15	11	,	,	PUNCT
ejpam-540	15	12	then	then	ADV
ejpam-540	15	13	we	we	PRON
ejpam-540	15	14	have	have	VERB
ejpam-540	15	15	the	the	DET
ejpam-540	15	16	following	following	ADJ
ejpam-540	15	17	equivalence	equivalence	NOUN
ejpam-540	15	18	,	,	PUNCT
ejpam-540	15	19	[	[	X
ejpam-540	15	20	cf	cf	NOUN
ejpam-540	15	21	.	.	NOUN
ejpam-540	15	22	,	,	PUNCT
ejpam-540	15	23	e.g.	e.g.	ADV
ejpam-540	15	24	,	,	PUNCT
ejpam-540	15	25	6	6	NUM
ejpam-540	15	26	,	,	PUNCT
ejpam-540	15	27	16	16	NUM
ejpam-540	15	28	,	,	PUNCT
ejpam-540	15	29	17	17	NUM
ejpam-540	15	30	]	]	PUNCT
ejpam-540	15	31	:	:	PUNCT
ejpam-540	15	32	f	f	X
ejpam-540	15	33	(	(	PUNCT
ejpam-540	15	34	z)≺	z)≺	PROPN
ejpam-540	15	35	g(z)⇔	g(z)⇔	PROPN
ejpam-540	15	36	f	f	PROPN
ejpam-540	15	37	(	(	PUNCT
ejpam-540	15	38	0	0	NUM
ejpam-540	15	39	)	)	PUNCT
ejpam-540	15	40	=	=	SYM
ejpam-540	15	41	g(0	g(0	PROPN
ejpam-540	15	42	)	)	PUNCT
ejpam-540	15	43	and	and	CCONJ
ejpam-540	15	44	f	f	PROPN
ejpam-540	15	45	(	(	PUNCT
ejpam-540	15	46	u)⊂	u)⊂	CCONJ
ejpam-540	15	47	g(u	g(u	NOUN
ejpam-540	15	48	)	)	PUNCT
ejpam-540	15	49	.	.	PUNCT
ejpam-540	16	1	∗corresponding	∗corresponde	VERB
ejpam-540	16	2	author	author	NOUN
ejpam-540	16	3	.	.	PUNCT
ejpam-540	17	1	email	email	NOUN
ejpam-540	17	2	addresses	address	NOUN
ejpam-540	17	3	:	:	PUNCT
ejpam-540	17	4	mkaouf127	mkaouf127	PROPN
ejpam-540	17	5	�	�	PROPN
ejpam-540	17	6	yahoo	yahoo	PROPN
ejpam-540	17	7	.	.	PUNCT
ejpam-540	18	1	om	om	PROPN
ejpam-540	18	2	(	(	PUNCT
ejpam-540	18	3	m.	m.	PROPN
ejpam-540	18	4	aouf	aouf	PROPN
ejpam-540	18	5	)	)	PUNCT
ejpam-540	18	6	,	,	PUNCT
ejpam-540	18	7	tms00�fayoum.edu.eg	tms00�fayoum.edu.eg	PROPN
ejpam-540	18	8	(	(	PUNCT
ejpam-540	18	9	t.	t.	PROPN
ejpam-540	18	10	seoudy	seoudy	PROPN
ejpam-540	18	11	)	)	PUNCT
ejpam-540	18	12	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-540	19	1	1	1	NUM
ejpam-540	19	2	c	c	X
ejpam-540	19	3	©	©	PROPN
ejpam-540	19	4	2010	2010	NUM
ejpam-540	19	5	ejpam	ejpam	NOUN
ejpam-540	19	6	all	all	DET
ejpam-540	19	7	rights	right	NOUN
ejpam-540	19	8	reserved	reserve	VERB
ejpam-540	19	9	.	.	PUNCT
ejpam-540	20	1	m.	m.	PROPN
ejpam-540	20	2	aouf	aouf	PROPN
ejpam-540	20	3	,	,	PUNCT
ejpam-540	20	4	t.	t.	PROPN
ejpam-540	20	5	seoudy	seoudy	PROPN
ejpam-540	20	6	/	/	SYM
ejpam-540	20	7	eur	eur	PROPN
ejpam-540	20	8	.	.	PUNCT
ejpam-540	21	1	j.	j.	PROPN
ejpam-540	21	2	pure	pure	PROPN
ejpam-540	21	3	appl	appl	PROPN
ejpam-540	21	4	.	.	PROPN
ejpam-540	21	5	math	math	PROPN
ejpam-540	21	6	,	,	PUNCT
ejpam-540	21	7	4	4	NUM
ejpam-540	21	8	(	(	PUNCT
ejpam-540	21	9	2011	2011	NUM
ejpam-540	21	10	)	)	PUNCT
ejpam-540	21	11	,	,	PUNCT
ejpam-540	21	12	1	1	NUM
ejpam-540	21	13	-	-	SYM
ejpam-540	21	14	13	13	NUM
ejpam-540	21	15	2	2	NUM
ejpam-540	21	16	let	let	VERB
ejpam-540	21	17	φ	φ	PROPN
ejpam-540	21	18	:	:	PUNCT
ejpam-540	22	1	c2	c2	PROPN
ejpam-540	22	2	×	×	PROPN
ejpam-540	22	3	u	u	PROPN
ejpam-540	22	4	→	→	SYM
ejpam-540	22	5	c	c	PROPN
ejpam-540	22	6	and	and	CCONJ
ejpam-540	22	7	h(z	h(z	NOUN
ejpam-540	22	8	)	)	PUNCT
ejpam-540	22	9	be	be	AUX
ejpam-540	22	10	univalent	univalent	ADJ
ejpam-540	22	11	in	in	ADP
ejpam-540	22	12	u	u	NOUN
ejpam-540	22	13	.	.	PUNCT
ejpam-540	23	1	if	if	SCONJ
ejpam-540	23	2	p	p	X
ejpam-540	23	3	(	(	PUNCT
ejpam-540	23	4	z	z	NOUN
ejpam-540	23	5	)	)	PUNCT
ejpam-540	23	6	is	be	AUX
ejpam-540	23	7	analytic	analytic	ADJ
ejpam-540	23	8	in	in	ADP
ejpam-540	23	9	u	u	NOUN
ejpam-540	23	10	and	and	CCONJ
ejpam-540	23	11	satisfies	satisfy	VERB
ejpam-540	23	12	the	the	DET
ejpam-540	23	13	first	first	ADJ
ejpam-540	23	14	order	order	NOUN
ejpam-540	23	15	differential	differential	ADJ
ejpam-540	23	16	subordination	subordination	NOUN
ejpam-540	23	17	:	:	PUNCT
ejpam-540	23	18	φ	φ	PROPN
ejpam-540	23	19	�	�	PROPN
ejpam-540	23	20	p	p	X
ejpam-540	23	21	(	(	PUNCT
ejpam-540	23	22	z	z	NOUN
ejpam-540	23	23	)	)	PUNCT
ejpam-540	23	24	,	,	PUNCT
ejpam-540	24	1	zp	zp	NOUN
ejpam-540	24	2	′	′	NUM
ejpam-540	25	1	(	(	PUNCT
ejpam-540	25	2	z	z	NOUN
ejpam-540	25	3	)	)	PUNCT
ejpam-540	25	4	;	;	PUNCT
ejpam-540	25	5	z	z	PROPN
ejpam-540	25	6	�	�	PROPN
ejpam-540	25	7	≺	≺	VERB
ejpam-540	25	8	h(z	h(z	NOUN
ejpam-540	25	9	)	)	PUNCT
ejpam-540	25	10	,	,	PUNCT
ejpam-540	25	11	(	(	PUNCT
ejpam-540	25	12	3	3	X
ejpam-540	25	13	)	)	PUNCT
ejpam-540	25	14	then	then	ADV
ejpam-540	25	15	p	p	X
ejpam-540	25	16	(	(	PUNCT
ejpam-540	25	17	z	z	NOUN
ejpam-540	25	18	)	)	PUNCT
ejpam-540	25	19	is	be	AUX
ejpam-540	25	20	a	a	DET
ejpam-540	25	21	solution	solution	NOUN
ejpam-540	25	22	of	of	ADP
ejpam-540	25	23	the	the	DET
ejpam-540	25	24	differential	differential	ADJ
ejpam-540	25	25	subordination	subordination	NOUN
ejpam-540	25	26	(	(	PUNCT
ejpam-540	25	27	3	3	NUM
ejpam-540	25	28	)	)	PUNCT
ejpam-540	25	29	.	.	PUNCT
ejpam-540	26	1	the	the	DET
ejpam-540	26	2	univalent	univalent	ADJ
ejpam-540	26	3	function	function	NOUN
ejpam-540	26	4	q	q	PROPN
ejpam-540	26	5	(	(	PUNCT
ejpam-540	26	6	z	z	NOUN
ejpam-540	26	7	)	)	PUNCT
ejpam-540	26	8	is	be	AUX
ejpam-540	26	9	called	call	VERB
ejpam-540	26	10	a	a	DET
ejpam-540	26	11	dominant	dominant	NOUN
ejpam-540	26	12	of	of	ADP
ejpam-540	26	13	the	the	DET
ejpam-540	26	14	solutions	solution	NOUN
ejpam-540	26	15	of	of	ADP
ejpam-540	26	16	the	the	DET
ejpam-540	26	17	differential	differential	ADJ
ejpam-540	26	18	subordination	subordination	NOUN
ejpam-540	26	19	(	(	PUNCT
ejpam-540	26	20	3	3	NUM
ejpam-540	26	21	)	)	PUNCT
ejpam-540	26	22	if	if	SCONJ
ejpam-540	26	23	p	p	X
ejpam-540	26	24	(	(	PUNCT
ejpam-540	26	25	z	z	NOUN
ejpam-540	26	26	)	)	PUNCT
ejpam-540	26	27	≺	≺	NOUN
ejpam-540	26	28	q	q	NOUN
ejpam-540	26	29	(	(	PUNCT
ejpam-540	26	30	z	z	NOUN
ejpam-540	26	31	)	)	PUNCT
ejpam-540	26	32	for	for	ADP
ejpam-540	26	33	all	all	PRON
ejpam-540	26	34	p	p	X
ejpam-540	26	35	(	(	PUNCT
ejpam-540	26	36	z	z	NOUN
ejpam-540	26	37	)	)	PUNCT
ejpam-540	26	38	satisfying	satisfying	NOUN
ejpam-540	26	39	(	(	PUNCT
ejpam-540	26	40	3	3	NUM
ejpam-540	26	41	)	)	PUNCT
ejpam-540	26	42	.	.	PUNCT
ejpam-540	27	1	a	a	DET
ejpam-540	27	2	univalent	univalent	ADJ
ejpam-540	27	3	dominant	dominant	ADJ
ejpam-540	27	4	q̃	q̃	PROPN
ejpam-540	27	5	that	that	PRON
ejpam-540	27	6	satisfies	satisfy	VERB
ejpam-540	27	7	q̃	q̃	PROPN
ejpam-540	27	8	≺	≺	NOUN
ejpam-540	27	9	q	q	NOUN
ejpam-540	27	10	for	for	ADP
ejpam-540	27	11	all	all	DET
ejpam-540	27	12	dominants	dominant	NOUN
ejpam-540	27	13	of	of	ADP
ejpam-540	27	14	(	(	PUNCT
ejpam-540	27	15	3	3	X
ejpam-540	27	16	)	)	PUNCT
ejpam-540	27	17	is	be	AUX
ejpam-540	27	18	called	call	VERB
ejpam-540	27	19	the	the	DET
ejpam-540	27	20	best	good	ADJ
ejpam-540	27	21	dominant	dominant	NOUN
ejpam-540	27	22	.	.	PUNCT
ejpam-540	28	1	if	if	SCONJ
ejpam-540	28	2	p	p	X
ejpam-540	28	3	(	(	PUNCT
ejpam-540	28	4	z	z	NOUN
ejpam-540	28	5	)	)	PUNCT
ejpam-540	28	6	and	and	CCONJ
ejpam-540	28	7	φ	φ	PROPN
ejpam-540	28	8	�	�	PROPN
ejpam-540	29	1	p	p	X
ejpam-540	29	2	(	(	PUNCT
ejpam-540	29	3	z	z	NOUN
ejpam-540	29	4	)	)	PUNCT
ejpam-540	29	5	,	,	PUNCT
ejpam-540	29	6	zp	zp	NOUN
ejpam-540	29	7	′	′	NUM
ejpam-540	29	8	(	(	PUNCT
ejpam-540	29	9	z	z	NOUN
ejpam-540	29	10	)	)	PUNCT
ejpam-540	29	11	;	;	PUNCT
ejpam-540	29	12	z	z	PROPN
ejpam-540	29	13	�	�	PROPN
ejpam-540	29	14	are	be	AUX
ejpam-540	29	15	univalent	univalent	ADJ
ejpam-540	29	16	in	in	ADP
ejpam-540	29	17	u	u	NOUN
ejpam-540	29	18	and	and	CCONJ
ejpam-540	29	19	if	if	SCONJ
ejpam-540	29	20	p	p	X
ejpam-540	29	21	(	(	PUNCT
ejpam-540	29	22	z	z	NOUN
ejpam-540	29	23	)	)	PUNCT
ejpam-540	29	24	satisfies	satisfy	VERB
ejpam-540	29	25	first	first	ADJ
ejpam-540	29	26	order	order	NOUN
ejpam-540	29	27	differential	differential	ADJ
ejpam-540	29	28	superordination	superordination	NOUN
ejpam-540	29	29	:	:	PUNCT
ejpam-540	29	30	h(z	h(z	NOUN
ejpam-540	29	31	)	)	PUNCT
ejpam-540	29	32	≺	≺	NOUN
ejpam-540	29	33	φ	φ	PROPN
ejpam-540	29	34	�	�	PROPN
ejpam-540	29	35	p	p	PROPN
ejpam-540	29	36	(	(	PUNCT
ejpam-540	29	37	z	z	NOUN
ejpam-540	29	38	)	)	PUNCT
ejpam-540	29	39	,	,	PUNCT
ejpam-540	29	40	zp	zp	NOUN
ejpam-540	29	41	′	′	NUM
ejpam-540	30	1	(	(	PUNCT
ejpam-540	30	2	z	z	NOUN
ejpam-540	30	3	)	)	PUNCT
ejpam-540	30	4	;	;	PUNCT
ejpam-540	30	5	z	z	PROPN
ejpam-540	30	6	�	�	PROPN
ejpam-540	30	7	,	,	PUNCT
ejpam-540	30	8	(	(	PUNCT
ejpam-540	30	9	4	4	X
ejpam-540	30	10	)	)	PUNCT
ejpam-540	30	11	then	then	ADV
ejpam-540	30	12	p	p	X
ejpam-540	30	13	(	(	PUNCT
ejpam-540	30	14	z	z	NOUN
ejpam-540	30	15	)	)	PUNCT
ejpam-540	30	16	is	be	AUX
ejpam-540	30	17	a	a	DET
ejpam-540	30	18	solution	solution	NOUN
ejpam-540	30	19	of	of	ADP
ejpam-540	30	20	the	the	DET
ejpam-540	30	21	differential	differential	ADJ
ejpam-540	30	22	superordination	superordination	NOUN
ejpam-540	30	23	(	(	PUNCT
ejpam-540	30	24	4	4	NUM
ejpam-540	30	25	)	)	PUNCT
ejpam-540	30	26	.	.	PUNCT
ejpam-540	31	1	an	an	DET
ejpam-540	31	2	analytic	analytic	ADJ
ejpam-540	31	3	function	function	NOUN
ejpam-540	31	4	q	q	NOUN
ejpam-540	31	5	(	(	PUNCT
ejpam-540	31	6	z	z	NOUN
ejpam-540	31	7	)	)	PUNCT
ejpam-540	31	8	is	be	AUX
ejpam-540	31	9	called	call	VERB
ejpam-540	31	10	a	a	DET
ejpam-540	31	11	subordinant	subordinant	NOUN
ejpam-540	31	12	of	of	ADP
ejpam-540	31	13	the	the	DET
ejpam-540	31	14	solutions	solution	NOUN
ejpam-540	31	15	of	of	ADP
ejpam-540	31	16	the	the	DET
ejpam-540	31	17	differential	differential	ADJ
ejpam-540	31	18	superordination	superordination	NOUN
ejpam-540	31	19	(	(	PUNCT
ejpam-540	31	20	4	4	X
ejpam-540	31	21	)	)	PUNCT
ejpam-540	31	22	if	if	SCONJ
ejpam-540	31	23	q	q	X
ejpam-540	31	24	(	(	PUNCT
ejpam-540	31	25	z	z	NOUN
ejpam-540	31	26	)	)	PUNCT
ejpam-540	31	27	≺	≺	NOUN
ejpam-540	31	28	p	p	X
ejpam-540	31	29	(	(	PUNCT
ejpam-540	31	30	z	z	NOUN
ejpam-540	31	31	)	)	PUNCT
ejpam-540	31	32	for	for	ADP
ejpam-540	31	33	all	all	PRON
ejpam-540	31	34	p	p	X
ejpam-540	31	35	(	(	PUNCT
ejpam-540	31	36	z	z	NOUN
ejpam-540	31	37	)	)	PUNCT
ejpam-540	31	38	satisfying	satisfying	NOUN
ejpam-540	31	39	(	(	PUNCT
ejpam-540	31	40	4	4	NUM
ejpam-540	31	41	)	)	PUNCT
ejpam-540	31	42	.	.	PUNCT
ejpam-540	32	1	a	a	DET
ejpam-540	32	2	univalent	univalent	ADJ
ejpam-540	32	3	subordinant	subordinant	NOUN
ejpam-540	32	4	q̃	q̃	PROPN
ejpam-540	32	5	that	that	PRON
ejpam-540	32	6	satisfies	satisfy	VERB
ejpam-540	32	7	q	q	NOUN
ejpam-540	32	8	≺	≺	NOUN
ejpam-540	32	9	q̃	q̃	PROPN
ejpam-540	32	10	for	for	ADP
ejpam-540	32	11	all	all	DET
ejpam-540	32	12	subordinants	subordinant	NOUN
ejpam-540	32	13	of	of	ADP
ejpam-540	32	14	(	(	PUNCT
ejpam-540	32	15	4	4	NUM
ejpam-540	32	16	)	)	PUNCT
ejpam-540	32	17	is	be	AUX
ejpam-540	32	18	called	call	VERB
ejpam-540	32	19	the	the	DET
ejpam-540	32	20	best	good	ADJ
ejpam-540	32	21	subordinant.using	subordinant.use	VERB
ejpam-540	32	22	the	the	DET
ejpam-540	32	23	results	result	NOUN
ejpam-540	32	24	of	of	ADP
ejpam-540	32	25	miller	miller	NOUN
ejpam-540	32	26	and	and	CCONJ
ejpam-540	32	27	mocanu	mocanu	NOUN
ejpam-540	33	1	[	[	X
ejpam-540	33	2	17	17	NUM
ejpam-540	33	3	]	]	PUNCT
ejpam-540	33	4	,	,	PUNCT
ejpam-540	33	5	bulboaca	bulboaca	NOUN
ejpam-540	33	6	[	[	X
ejpam-540	33	7	5	5	NUM
ejpam-540	33	8	]	]	PUNCT
ejpam-540	33	9	considered	consider	VERB
ejpam-540	33	10	certain	certain	ADJ
ejpam-540	33	11	classes	class	NOUN
ejpam-540	33	12	of	of	ADP
ejpam-540	33	13	first	first	ADJ
ejpam-540	33	14	order	order	NOUN
ejpam-540	33	15	differential	differential	NOUN
ejpam-540	33	16	superordinations	superordination	NOUN
ejpam-540	33	17	as	as	ADV
ejpam-540	33	18	well	well	ADV
ejpam-540	33	19	as	as	ADP
ejpam-540	33	20	superordinationpreserving	superordinationpreserve	VERB
ejpam-540	33	21	integral	integral	ADJ
ejpam-540	33	22	operators	operator	NOUN
ejpam-540	33	23	[	[	X
ejpam-540	33	24	6	6	NUM
ejpam-540	33	25	]	]	PUNCT
ejpam-540	33	26	.	.	PUNCT
ejpam-540	34	1	ali	ali	PROPN
ejpam-540	34	2	et	et	PROPN
ejpam-540	34	3	al	al	PROPN
ejpam-540	34	4	.	.	PUNCT
ejpam-540	35	1	[	[	X
ejpam-540	35	2	1	1	NUM
ejpam-540	35	3	]	]	PUNCT
ejpam-540	35	4	,	,	PUNCT
ejpam-540	35	5	have	have	AUX
ejpam-540	35	6	used	use	VERB
ejpam-540	35	7	the	the	DET
ejpam-540	35	8	results	result	NOUN
ejpam-540	35	9	of	of	ADP
ejpam-540	35	10	bulboaca	bulboaca	NOUN
ejpam-540	35	11	[	[	X
ejpam-540	35	12	5	5	NUM
ejpam-540	35	13	]	]	PUNCT
ejpam-540	35	14	to	to	PART
ejpam-540	35	15	obtain	obtain	VERB
ejpam-540	35	16	sufficient	sufficient	ADJ
ejpam-540	35	17	conditions	condition	NOUN
ejpam-540	35	18	for	for	SCONJ
ejpam-540	35	19	normalized	normalize	VERB
ejpam-540	35	20	analytic	analytic	ADJ
ejpam-540	35	21	functions	function	NOUN
ejpam-540	35	22	to	to	PART
ejpam-540	35	23	satisfy	satisfy	VERB
ejpam-540	35	24	:	:	PUNCT
ejpam-540	35	25	q1(z	q1(z	NUM
ejpam-540	35	26	)	)	PUNCT
ejpam-540	35	27	≺	≺	NOUN
ejpam-540	35	28	z	z	X
ejpam-540	35	29	f	f	PROPN
ejpam-540	35	30	′(z	′(z	NOUN
ejpam-540	35	31	)	)	PUNCT
ejpam-540	35	32	f	f	PROPN
ejpam-540	35	33	(	(	PUNCT
ejpam-540	35	34	z	z	NOUN
ejpam-540	35	35	)	)	PUNCT
ejpam-540	35	36	≺	≺	NOUN
ejpam-540	35	37	q2(z	q2(z	NUM
ejpam-540	35	38	)	)	PUNCT
ejpam-540	35	39	,	,	PUNCT
ejpam-540	35	40	where	where	SCONJ
ejpam-540	35	41	q1	q1	PROPN
ejpam-540	35	42	and	and	CCONJ
ejpam-540	35	43	q2	q2	NOUN
ejpam-540	35	44	are	be	AUX
ejpam-540	35	45	given	give	VERB
ejpam-540	35	46	univalent	univalent	ADJ
ejpam-540	35	47	functions	function	NOUN
ejpam-540	35	48	in	in	ADP
ejpam-540	35	49	u	u	NOUN
ejpam-540	35	50	with	with	ADP
ejpam-540	35	51	q1(0	q1(0	PROPN
ejpam-540	35	52	)	)	PUNCT
ejpam-540	35	53	=	=	PUNCT
ejpam-540	36	1	q2(0	q2(0	PROPN
ejpam-540	36	2	)	)	PUNCT
ejpam-540	36	3	=	=	SYM
ejpam-540	37	1	1	1	X
ejpam-540	37	2	.	.	PUNCT
ejpam-540	37	3	also	also	ADV
ejpam-540	37	4	,	,	PUNCT
ejpam-540	37	5	tuneski	tuneski	ADJ
ejpam-540	37	6	[	[	X
ejpam-540	37	7	25	25	NUM
ejpam-540	37	8	]	]	PUNCT
ejpam-540	37	9	obtained	obtain	VERB
ejpam-540	37	10	a	a	DET
ejpam-540	37	11	sufficient	sufficient	ADJ
ejpam-540	37	12	condition	condition	NOUN
ejpam-540	37	13	for	for	ADP
ejpam-540	37	14	starlikeness	starlikeness	NOUN
ejpam-540	37	15	of	of	ADP
ejpam-540	37	16	f	f	PROPN
ejpam-540	37	17	in	in	ADP
ejpam-540	37	18	terms	term	NOUN
ejpam-540	37	19	of	of	ADP
ejpam-540	37	20	the	the	DET
ejpam-540	37	21	quantity	quantity	NOUN
ejpam-540	37	22	f	f	PROPN
ejpam-540	37	23	′′(z	′′(z	PROPN
ejpam-540	37	24	)	)	PUNCT
ejpam-540	38	1	f	f	PROPN
ejpam-540	38	2	(	(	PUNCT
ejpam-540	38	3	z	z	NOUN
ejpam-540	38	4	)	)	PUNCT
ejpam-540	38	5	(	(	PUNCT
ejpam-540	38	6	f	f	X
ejpam-540	38	7	′(z))2	′(z))2	PROPN
ejpam-540	38	8	.	.	PUNCT
ejpam-540	39	1	recently	recently	ADV
ejpam-540	39	2	,	,	PUNCT
ejpam-540	39	3	shanmugam	shanmugam	PROPN
ejpam-540	39	4	et	et	PROPN
ejpam-540	39	5	al	al	PROPN
ejpam-540	39	6	.	.	PUNCT
ejpam-540	40	1	[	[	X
ejpam-540	40	2	24	24	NUM
ejpam-540	40	3	]	]	PUNCT
ejpam-540	40	4	obtained	obtain	VERB
ejpam-540	40	5	sufficient	sufficient	ADJ
ejpam-540	40	6	conditions	condition	NOUN
ejpam-540	40	7	for	for	SCONJ
ejpam-540	40	8	the	the	DET
ejpam-540	40	9	normalized	normalize	VERB
ejpam-540	40	10	analytic	analytic	ADJ
ejpam-540	40	11	function	function	NOUN
ejpam-540	40	12	f	f	PROPN
ejpam-540	40	13	to	to	PART
ejpam-540	40	14	satisfy	satisfy	VERB
ejpam-540	40	15	q1(z)≺	q1(z)≺	PROPN
ejpam-540	41	1	f	f	X
ejpam-540	41	2	(	(	PUNCT
ejpam-540	41	3	z	z	NOUN
ejpam-540	41	4	)	)	PUNCT
ejpam-540	42	1	z	z	PROPN
ejpam-540	42	2	f	f	NOUN
ejpam-540	42	3	′(z	′(z	NOUN
ejpam-540	42	4	)	)	PUNCT
ejpam-540	42	5	≺	≺	NOUN
ejpam-540	42	6	q2(z	q2(z	NUM
ejpam-540	42	7	)	)	PUNCT
ejpam-540	42	8	and	and	CCONJ
ejpam-540	42	9	q1(z	q1(z	PROPN
ejpam-540	42	10	)	)	PUNCT
ejpam-540	42	11	≺	≺	NOUN
ejpam-540	42	12	z2	z2	PROPN
ejpam-540	42	13	f	f	PROPN
ejpam-540	42	14	′(z	′(z	NOUN
ejpam-540	42	15	)	)	PUNCT
ejpam-540	42	16	{	{	PUNCT
ejpam-540	42	17	f	f	X
ejpam-540	42	18	(	(	PUNCT
ejpam-540	42	19	z)}2	z)}2	PROPN
ejpam-540	42	20	≺	≺	NOUN
ejpam-540	42	21	q2(z	q2(z	NOUN
ejpam-540	42	22	)	)	PUNCT
ejpam-540	42	23	.	.	PUNCT
ejpam-540	43	1	they	they	PRON
ejpam-540	44	1	[	[	X
ejpam-540	44	2	24	24	NUM
ejpam-540	44	3	]	]	PUNCT
ejpam-540	44	4	also	also	ADV
ejpam-540	44	5	obtained	obtain	VERB
ejpam-540	44	6	results	result	NOUN
ejpam-540	44	7	for	for	ADP
ejpam-540	44	8	functions	function	NOUN
ejpam-540	44	9	defined	define	VERB
ejpam-540	44	10	by	by	ADP
ejpam-540	44	11	using	use	VERB
ejpam-540	44	12	carlson	carlson	PROPN
ejpam-540	44	13	-	-	PUNCT
ejpam-540	44	14	shaffer	shaffer	NOUN
ejpam-540	44	15	operator	operator	NOUN
ejpam-540	44	16	[	[	X
ejpam-540	44	17	7	7	NUM
ejpam-540	44	18	]	]	PUNCT
ejpam-540	44	19	,	,	PUNCT
ejpam-540	44	20	ruscheweyh	ruscheweyh	VERB
ejpam-540	44	21	derivative	derivative	ADJ
ejpam-540	45	1	[	[	X
ejpam-540	45	2	20	20	NUM
ejpam-540	45	3	]	]	PUNCT
ejpam-540	45	4	and	and	CCONJ
ejpam-540	45	5	sălăgean	sălăgean	ADJ
ejpam-540	45	6	operator	operator	NOUN
ejpam-540	45	7	[	[	X
ejpam-540	45	8	22	22	NUM
ejpam-540	45	9	]	]	PUNCT
ejpam-540	45	10	.	.	PUNCT
ejpam-540	46	1	for	for	ADP
ejpam-540	46	2	functions	function	NOUN
ejpam-540	46	3	f	f	NOUN
ejpam-540	46	4	given	give	VERB
ejpam-540	46	5	by	by	ADP
ejpam-540	46	6	(	(	PUNCT
ejpam-540	46	7	1	1	NUM
ejpam-540	46	8	)	)	PUNCT
ejpam-540	46	9	and	and	CCONJ
ejpam-540	46	10	g	g	PROPN
ejpam-540	46	11	∈	∈	PROPN
ejpam-540	46	12	a	a	DET
ejpam-540	46	13	given	give	VERB
ejpam-540	46	14	by	by	ADP
ejpam-540	46	15	g(z	g(z	PROPN
ejpam-540	46	16	)	)	PUNCT
ejpam-540	47	1	=	=	SYM
ejpam-540	47	2	z	z	NOUN
ejpam-540	48	1	+	+	NUM
ejpam-540	48	2	∞	∞	NUM
ejpam-540	48	3	∑	∑	PROPN
ejpam-540	48	4	k=2	k=2	PROPN
ejpam-540	48	5	bkzk	bkzk	NOUN
ejpam-540	48	6	,	,	PUNCT
ejpam-540	48	7	the	the	DET
ejpam-540	48	8	hadamard	hadamard	ADJ
ejpam-540	48	9	product	product	NOUN
ejpam-540	48	10	(	(	PUNCT
ejpam-540	48	11	or	or	CCONJ
ejpam-540	48	12	convolution	convolution	NOUN
ejpam-540	48	13	)	)	PUNCT
ejpam-540	48	14	of	of	ADP
ejpam-540	48	15	f	f	PROPN
ejpam-540	48	16	and	and	CCONJ
ejpam-540	48	17	g	g	PROPN
ejpam-540	48	18	is	be	AUX
ejpam-540	48	19	defined	define	VERB
ejpam-540	48	20	by	by	ADP
ejpam-540	48	21	(	(	PUNCT
ejpam-540	48	22	f	f	PROPN
ejpam-540	48	23	∗	∗	PROPN
ejpam-540	48	24	g)(z	g)(z	PUNCT
ejpam-540	48	25	)	)	PUNCT
ejpam-540	48	26	=	=	SYM
ejpam-540	49	1	z	z	NOUN
ejpam-540	50	1	+	+	NUM
ejpam-540	50	2	∞	∞	NUM
ejpam-540	50	3	∑	∑	PROPN
ejpam-540	50	4	k=2	k=2	PROPN
ejpam-540	50	5	ak	ak	PROPN
ejpam-540	50	6	bkzk	bkzk	NOUN
ejpam-540	50	7	=	=	PUNCT
ejpam-540	50	8	(	(	PUNCT
ejpam-540	50	9	g	g	PROPN
ejpam-540	50	10	∗	∗	X
ejpam-540	50	11	f	f	PROPN
ejpam-540	50	12	)	)	PUNCT
ejpam-540	50	13	(	(	PUNCT
ejpam-540	50	14	z	z	NOUN
ejpam-540	50	15	)	)	PUNCT
ejpam-540	50	16	.	.	PUNCT
ejpam-540	51	1	(	(	PUNCT
ejpam-540	51	2	5	5	X
ejpam-540	51	3	)	)	PUNCT
ejpam-540	51	4	for	for	ADP
ejpam-540	51	5	functions	function	NOUN
ejpam-540	51	6	f	f	NOUN
ejpam-540	51	7	,	,	PUNCT
ejpam-540	51	8	g	g	PROPN
ejpam-540	51	9	∈a	∈a	NUM
ejpam-540	51	10	,	,	PUNCT
ejpam-540	51	11	we	we	PRON
ejpam-540	51	12	define	define	VERB
ejpam-540	51	13	the	the	DET
ejpam-540	51	14	linear	linear	ADJ
ejpam-540	51	15	operator	operator	NOUN
ejpam-540	51	16	dn	dn	PROPN
ejpam-540	51	17	λ	λ	PROPN
ejpam-540	51	18	:	:	PUNCT
ejpam-540	51	19	a	a	DET
ejpam-540	51	20	→a	→a	PROPN
ejpam-540	51	21	(	(	PUNCT
ejpam-540	51	22	λ≥	λ≥	PROPN
ejpam-540	51	23	0	0	NUM
ejpam-540	51	24	,	,	PUNCT
ejpam-540	51	25	n	n	PRON
ejpam-540	51	26	∈	∈	PROPN
ejpam-540	51	27	n0	n0	X
ejpam-540	51	28	=	=	SYM
ejpam-540	51	29	n∪	n∪	PROPN
ejpam-540	51	30	{	{	PUNCT
ejpam-540	51	31	0},n	0},n	X
ejpam-540	51	32	=	=	SYM
ejpam-540	51	33	{	{	PUNCT
ejpam-540	51	34	1,2	1,2	NUM
ejpam-540	51	35	,	,	PUNCT
ejpam-540	51	36	.	.	PUNCT
ejpam-540	51	37	.	.	PUNCT
ejpam-540	52	1	.	.	PUNCT
ejpam-540	52	2	}	}	PUNCT
ejpam-540	52	3	)	)	PUNCT
ejpam-540	53	1	by	by	ADP
ejpam-540	53	2	:	:	PUNCT
ejpam-540	53	3	d0	d0	PROPN
ejpam-540	53	4	λ	λ	PROPN
ejpam-540	53	5	(	(	PUNCT
ejpam-540	53	6	f	f	PROPN
ejpam-540	53	7	∗	∗	NOUN
ejpam-540	53	8	g)(z	g)(z	PUNCT
ejpam-540	53	9	)	)	PUNCT
ejpam-540	53	10	=	=	PUNCT
ejpam-540	54	1	(	(	PUNCT
ejpam-540	54	2	f	f	PROPN
ejpam-540	54	3	∗	∗	PROPN
ejpam-540	54	4	g)(z	g)(z	PUNCT
ejpam-540	54	5	)	)	PUNCT
ejpam-540	54	6	,	,	PUNCT
ejpam-540	54	7	m.	m.	NOUN
ejpam-540	54	8	aouf	aouf	PROPN
ejpam-540	54	9	,	,	PUNCT
ejpam-540	54	10	t.	t.	PROPN
ejpam-540	54	11	seoudy	seoudy	PROPN
ejpam-540	54	12	/	/	SYM
ejpam-540	54	13	eur	eur	PROPN
ejpam-540	54	14	.	.	PUNCT
ejpam-540	55	1	j.	j.	PROPN
ejpam-540	55	2	pure	pure	PROPN
ejpam-540	55	3	appl	appl	PROPN
ejpam-540	55	4	.	.	PROPN
ejpam-540	55	5	math	math	PROPN
ejpam-540	55	6	,	,	PUNCT
ejpam-540	55	7	4	4	NUM
ejpam-540	55	8	(	(	PUNCT
ejpam-540	55	9	2011	2011	NUM
ejpam-540	55	10	)	)	PUNCT
ejpam-540	55	11	,	,	PUNCT
ejpam-540	55	12	1	1	NUM
ejpam-540	55	13	-	-	SYM
ejpam-540	55	14	13	13	NUM
ejpam-540	55	15	3	3	NUM
ejpam-540	55	16	d1	d1	PROPN
ejpam-540	55	17	λ	λ	PROPN
ejpam-540	55	18	(	(	PUNCT
ejpam-540	55	19	f	f	PROPN
ejpam-540	55	20	∗	∗	NOUN
ejpam-540	55	21	g)(z	g)(z	PUNCT
ejpam-540	55	22	)	)	PUNCT
ejpam-540	55	23	=	=	SYM
ejpam-540	55	24	dλ	dλ	PROPN
ejpam-540	55	25	(	(	PUNCT
ejpam-540	55	26	f	f	PROPN
ejpam-540	55	27	∗	∗	PROPN
ejpam-540	55	28	g)(z	g)(z	PUNCT
ejpam-540	55	29	)	)	PUNCT
ejpam-540	55	30	=	=	PUNCT
ejpam-540	55	31	(	(	PUNCT
ejpam-540	55	32	1−λ	1−λ	NUM
ejpam-540	55	33	)	)	PUNCT
ejpam-540	55	34	(	(	PUNCT
ejpam-540	55	35	f	f	PROPN
ejpam-540	55	36	∗	∗	NOUN
ejpam-540	55	37	g)(z	g)(z	PUNCT
ejpam-540	55	38	)	)	PUNCT
ejpam-540	56	1	+	+	ADV
ejpam-540	56	2	λz	λz	X
ejpam-540	56	3	(	(	PUNCT
ejpam-540	56	4	(	(	PUNCT
ejpam-540	56	5	f	f	X
ejpam-540	56	6	∗	∗	VERB
ejpam-540	56	7	g)(z))′	g)(z))′	PROPN
ejpam-540	56	8	,	,	PUNCT
ejpam-540	56	9	(	(	PUNCT
ejpam-540	56	10	6	6	NUM
ejpam-540	56	11	)	)	PUNCT
ejpam-540	56	12	and	and	CCONJ
ejpam-540	56	13	(	(	PUNCT
ejpam-540	56	14	in	in	ADP
ejpam-540	56	15	general	general	ADJ
ejpam-540	56	16	)	)	PUNCT
ejpam-540	56	17	dn	dn	PROPN
ejpam-540	56	18	λ	λ	PROPN
ejpam-540	56	19	(	(	PUNCT
ejpam-540	56	20	f	f	PROPN
ejpam-540	56	21	∗	∗	PROPN
ejpam-540	56	22	g)(z	g)(z	PUNCT
ejpam-540	56	23	)	)	PUNCT
ejpam-540	56	24	=	=	SYM
ejpam-540	56	25	dλ(d	dλ(d	X
ejpam-540	56	26	n−1	n−1	PROPN
ejpam-540	56	27	λ	λ	PROPN
ejpam-540	56	28	(	(	PUNCT
ejpam-540	56	29	f	f	PROPN
ejpam-540	56	30	∗	∗	NOUN
ejpam-540	56	31	g)(z	g)(z	PUNCT
ejpam-540	56	32	)	)	PUNCT
ejpam-540	56	33	)	)	PUNCT
ejpam-540	57	1	=	=	PUNCT
ejpam-540	57	2	z	z	NOUN
ejpam-540	58	1	+	+	NUM
ejpam-540	58	2	∞	∞	NUM
ejpam-540	58	3	∑	∑	X
ejpam-540	58	4	k=2	k=2	PROPN
ejpam-540	59	1	[	[	X
ejpam-540	59	2	1+λ(k−	1+λ(k−	NUM
ejpam-540	59	3	1)]nak	1)]nak	NUM
ejpam-540	59	4	bkzk	bkzk	NOUN
ejpam-540	59	5	�	�	NOUN
ejpam-540	59	6	λ≥	λ≥	ADP
ejpam-540	59	7	0	0	NUM
ejpam-540	59	8	;	;	PUNCT
ejpam-540	59	9	n	n	PRON
ejpam-540	59	10	∈	∈	PROPN
ejpam-540	59	11	n0	n0	X
ejpam-540	59	12	�	�	PROPN
ejpam-540	59	13	.	.	PUNCT
ejpam-540	60	1	(	(	PUNCT
ejpam-540	60	2	7	7	NUM
ejpam-540	60	3	)	)	PUNCT
ejpam-540	60	4	from	from	ADP
ejpam-540	60	5	(	(	PUNCT
ejpam-540	60	6	7	7	NUM
ejpam-540	60	7	)	)	PUNCT
ejpam-540	60	8	,	,	PUNCT
ejpam-540	60	9	we	we	PRON
ejpam-540	60	10	can	can	AUX
ejpam-540	60	11	easily	easily	ADV
ejpam-540	60	12	deduce	deduce	VERB
ejpam-540	60	13	that	that	SCONJ
ejpam-540	60	14	λz	λz	ADP
ejpam-540	60	15	�	�	PROPN
ejpam-540	60	16	dn	dn	PROPN
ejpam-540	60	17	λ	λ	PROPN
ejpam-540	60	18	(	(	PUNCT
ejpam-540	60	19	f	f	PROPN
ejpam-540	60	20	∗	∗	PROPN
ejpam-540	60	21	g)(z	g)(z	PUNCT
ejpam-540	60	22	)	)	PUNCT
ejpam-540	60	23	�	�	NOUN
ejpam-540	60	24	′	′	NOUN
ejpam-540	60	25	=	=	SYM
ejpam-540	60	26	dn+1	dn+1	NOUN
ejpam-540	60	27	λ	λ	X
ejpam-540	60	28	(	(	PUNCT
ejpam-540	60	29	f	f	NOUN
ejpam-540	60	30	∗	∗	X
ejpam-540	60	31	g)(z)−	g)(z)−	NOUN
ejpam-540	60	32	(	(	PUNCT
ejpam-540	60	33	1−λ)dn	1−λ)dn	NUM
ejpam-540	60	34	λ	λ	PROPN
ejpam-540	60	35	(	(	PUNCT
ejpam-540	60	36	f	f	PROPN
ejpam-540	60	37	∗	∗	NOUN
ejpam-540	60	38	g)(z	g)(z	PUNCT
ejpam-540	60	39	)	)	PUNCT
ejpam-540	60	40	(	(	PUNCT
ejpam-540	60	41	λ	λ	X
ejpam-540	60	42	>	>	X
ejpam-540	60	43	0	0	NUM
ejpam-540	60	44	)	)	PUNCT
ejpam-540	60	45	.	.	PUNCT
ejpam-540	61	1	(	(	PUNCT
ejpam-540	61	2	8)	8)	NUM
ejpam-540	61	3	the	the	DET
ejpam-540	61	4	linear	linear	ADJ
ejpam-540	61	5	operator	operator	NOUN
ejpam-540	61	6	dn	dn	PROPN
ejpam-540	61	7	λ	λ	PROPN
ejpam-540	61	8	(	(	PUNCT
ejpam-540	61	9	f	f	PROPN
ejpam-540	61	10	∗	∗	PROPN
ejpam-540	61	11	g)(z	g)(z	PUNCT
ejpam-540	61	12	)	)	PUNCT
ejpam-540	61	13	was	be	AUX
ejpam-540	61	14	introduced	introduce	VERB
ejpam-540	61	15	by	by	ADP
ejpam-540	61	16	aouf	aouf	PROPN
ejpam-540	61	17	and	and	CCONJ
ejpam-540	61	18	seoudy	seoudy	VERB
ejpam-540	61	19	[	[	X
ejpam-540	61	20	3	3	NUM
ejpam-540	61	21	]	]	PUNCT
ejpam-540	61	22	and	and	CCONJ
ejpam-540	61	23	we	we	PRON
ejpam-540	61	24	observe	observe	VERB
ejpam-540	61	25	that	that	SCONJ
ejpam-540	61	26	dn	dn	PROPN
ejpam-540	61	27	λ	λ	PROPN
ejpam-540	61	28	(	(	PUNCT
ejpam-540	61	29	f	f	PROPN
ejpam-540	61	30	∗	∗	PROPN
ejpam-540	61	31	g)(z	g)(z	PUNCT
ejpam-540	61	32	)	)	PUNCT
ejpam-540	61	33	reduces	reduce	VERB
ejpam-540	61	34	to	to	ADP
ejpam-540	61	35	several	several	ADJ
ejpam-540	61	36	interesting	interesting	ADJ
ejpam-540	61	37	many	many	ADJ
ejpam-540	61	38	other	other	ADJ
ejpam-540	61	39	linear	linear	PROPN
ejpam-540	61	40	operators	operator	NOUN
ejpam-540	61	41	considered	consider	VERB
ejpam-540	61	42	earlier	early	ADV
ejpam-540	61	43	for	for	ADP
ejpam-540	61	44	different	different	ADJ
ejpam-540	61	45	choices	choice	NOUN
ejpam-540	61	46	of	of	ADP
ejpam-540	61	47	n	n	CCONJ
ejpam-540	61	48	,	,	PUNCT
ejpam-540	61	49	λ	λ	PROPN
ejpam-540	61	50	and	and	CCONJ
ejpam-540	61	51	the	the	DET
ejpam-540	61	52	function	function	NOUN
ejpam-540	61	53	g	g	PROPN
ejpam-540	61	54	(	(	PUNCT
ejpam-540	61	55	z	z	NOUN
ejpam-540	61	56	)	)	PUNCT
ejpam-540	61	57	:	:	PUNCT
ejpam-540	61	58	(	(	PUNCT
ejpam-540	61	59	i	i	NOUN
ejpam-540	61	60	)	)	PUNCT
ejpam-540	61	61	for	for	ADP
ejpam-540	61	62	bk	bk	NOUN
ejpam-540	61	63	=	=	SYM
ejpam-540	61	64	1	1	NUM
ejpam-540	61	65	(	(	PUNCT
ejpam-540	61	66	or	or	CCONJ
ejpam-540	61	67	g(z	g(z	ADJ
ejpam-540	61	68	)	)	PUNCT
ejpam-540	61	69	=	=	SYM
ejpam-540	62	1	z	z	NOUN
ejpam-540	62	2	1−	1−	NUM
ejpam-540	62	3	z	z	NOUN
ejpam-540	62	4	)	)	PUNCT
ejpam-540	62	5	,	,	PUNCT
ejpam-540	62	6	we	we	PRON
ejpam-540	62	7	have	have	VERB
ejpam-540	62	8	dn	dn	PROPN
ejpam-540	62	9	λ	λ	PROPN
ejpam-540	62	10	(	(	PUNCT
ejpam-540	62	11	f	f	PROPN
ejpam-540	62	12	∗	∗	PROPN
ejpam-540	62	13	g)(z	g)(z	PUNCT
ejpam-540	62	14	)	)	PUNCT
ejpam-540	62	15	=	=	PUNCT
ejpam-540	63	1	dn	dn	NOUN
ejpam-540	63	2	λ	λ	X
ejpam-540	63	3	f	f	X
ejpam-540	63	4	(	(	PUNCT
ejpam-540	63	5	z	z	NOUN
ejpam-540	63	6	)	)	PUNCT
ejpam-540	63	7	,	,	PUNCT
ejpam-540	63	8	where	where	SCONJ
ejpam-540	63	9	dn	dn	PROPN
ejpam-540	63	10	λ	λ	PROPN
ejpam-540	63	11	is	be	AUX
ejpam-540	63	12	the	the	DET
ejpam-540	63	13	generalized	generalized	ADJ
ejpam-540	63	14	sălăgean	sălăgean	ADJ
ejpam-540	63	15	operator	operator	NOUN
ejpam-540	63	16	(	(	PUNCT
ejpam-540	63	17	or	or	CCONJ
ejpam-540	63	18	al	al	PROPN
ejpam-540	63	19	-	-	PUNCT
ejpam-540	63	20	oboudi	oboudi	ADJ
ejpam-540	63	21	operator	operator	NOUN
ejpam-540	63	22	[	[	X
ejpam-540	63	23	2	2	NUM
ejpam-540	63	24	]	]	PUNCT
ejpam-540	63	25	which	which	PRON
ejpam-540	63	26	yield	yield	VERB
ejpam-540	63	27	sălăgean	sălăgean	ADJ
ejpam-540	63	28	operator	operator	NOUN
ejpam-540	63	29	dn	dn	NOUN
ejpam-540	63	30	for	for	ADP
ejpam-540	63	31	λ=	λ=	PRON
ejpam-540	63	32	1	1	NUM
ejpam-540	63	33	introduced	introduce	VERB
ejpam-540	63	34	and	and	CCONJ
ejpam-540	63	35	studied	study	VERB
ejpam-540	63	36	by	by	ADP
ejpam-540	63	37	sălăgean	sălăgean	PROPN
ejpam-540	63	38	[	[	X
ejpam-540	63	39	21	21	NUM
ejpam-540	63	40	]	]	X
ejpam-540	63	41	;	;	PUNCT
ejpam-540	63	42	(	(	PUNCT
ejpam-540	63	43	ii	ii	NOUN
ejpam-540	63	44	)	)	PUNCT
ejpam-540	63	45	for	for	ADP
ejpam-540	63	46	n=	n=	ADJ
ejpam-540	63	47	0	0	NUM
ejpam-540	63	48	and	and	CCONJ
ejpam-540	63	49	g(z	g(z	PROPN
ejpam-540	63	50	)	)	PUNCT
ejpam-540	63	51	=	=	SYM
ejpam-540	64	1	z	z	NOUN
ejpam-540	65	1	+	+	NUM
ejpam-540	65	2	∞	∞	PROPN
ejpam-540	65	3	∑	∑	PROPN
ejpam-540	65	4	k=2	k=2	PROPN
ejpam-540	65	5	(	(	PUNCT
ejpam-540	65	6	a1)k−1	a1)k−1	PROPN
ejpam-540	65	7	.	.	PUNCT
ejpam-540	65	8	.	.	PUNCT
ejpam-540	65	9	.	.	PUNCT
ejpam-540	66	1	(	(	PUNCT
ejpam-540	66	2	al)k−1	al)k−1	PROPN
ejpam-540	66	3	(	(	PUNCT
ejpam-540	66	4	b1)k−1	b1)k−1	PROPN
ejpam-540	66	5	.	.	PUNCT
ejpam-540	66	6	.	.	PUNCT
ejpam-540	66	7	.	.	PUNCT
ejpam-540	67	1	(	(	PUNCT
ejpam-540	67	2	bm)k−1(1)k−1	bm)k−1(1)k−1	NOUN
ejpam-540	67	3	zk	zk	PROPN
ejpam-540	67	4	(	(	PUNCT
ejpam-540	67	5	9	9	NUM
ejpam-540	67	6	)	)	PUNCT
ejpam-540	67	7	�	�	PROPN
ejpam-540	67	8	ai	ai	VERB
ejpam-540	67	9	∈	∈	PROPN
ejpam-540	67	10	c	c	NOUN
ejpam-540	67	11	;	;	PUNCT
ejpam-540	67	12	i	i	NOUN
ejpam-540	67	13	=	=	NOUN
ejpam-540	67	14	1	1	NUM
ejpam-540	67	15	,	,	PUNCT
ejpam-540	67	16	.	.	PUNCT
ejpam-540	67	17	.	.	PUNCT
ejpam-540	67	18	.	.	PUNCT
ejpam-540	68	1	,	,	PUNCT
ejpam-540	68	2	l	l	NOUN
ejpam-540	68	3	;	;	PUNCT
ejpam-540	68	4	b	b	X
ejpam-540	68	5	j	j	PROPN
ejpam-540	68	6	∈	∈	PROPN
ejpam-540	68	7	c\z	c\z	VERB
ejpam-540	69	1	−	−	NOUN
ejpam-540	69	2	0	0	NUM
ejpam-540	70	1	=	=	SYM
ejpam-540	70	2	{	{	PUNCT
ejpam-540	70	3	0,−1,−2	0,−1,−2	NUM
ejpam-540	70	4	,	,	PUNCT
ejpam-540	70	5	.	.	PUNCT
ejpam-540	70	6	.	.	PUNCT
ejpam-540	71	1	.	.	PUNCT
ejpam-540	71	2	}	}	PUNCT
ejpam-540	72	1	;	;	PUNCT
ejpam-540	72	2	j	j	PROPN
ejpam-540	72	3	=	=	SYM
ejpam-540	72	4	1	1	NUM
ejpam-540	72	5	,	,	PUNCT
ejpam-540	72	6	.	.	PUNCT
ejpam-540	72	7	.	.	PUNCT
ejpam-540	72	8	.	.	PUNCT
ejpam-540	73	1	,	,	PUNCT
ejpam-540	73	2	m	m	PROPN
ejpam-540	73	3	;	;	PUNCT
ejpam-540	73	4	l	l	X
ejpam-540	73	5	≤	≤	NUM
ejpam-540	73	6	m+	m+	NUM
ejpam-540	73	7	1	1	NUM
ejpam-540	73	8	;	;	PUNCT
ejpam-540	73	9	l	l	NOUN
ejpam-540	73	10	,	,	PUNCT
ejpam-540	73	11	m	m	PROPN
ejpam-540	73	12	∈	∈	PROPN
ejpam-540	73	13	n0	n0	NUM
ejpam-540	73	14	;	;	PUNCT
ejpam-540	73	15	z	z	PROPN
ejpam-540	73	16	∈	∈	PROPN
ejpam-540	73	17	u	u	PROPN
ejpam-540	73	18	�	�	PROPN
ejpam-540	73	19	,	,	PUNCT
ejpam-540	73	20	where	where	SCONJ
ejpam-540	73	21	(	(	PUNCT
ejpam-540	73	22	x)k	x)k	SYM
ejpam-540	73	23	=	=	SYM
ejpam-540	73	24	¨	¨	NOUN
ejpam-540	73	25	1	1	NUM
ejpam-540	73	26	(	(	PUNCT
ejpam-540	73	27	k	k	NOUN
ejpam-540	73	28	=	=	SYM
ejpam-540	73	29	0	0	NUM
ejpam-540	73	30	;	;	PUNCT
ejpam-540	73	31	x	x	X
ejpam-540	73	32	∈	∈	PROPN
ejpam-540	73	33	c∗	c∗	PROPN
ejpam-540	73	34	=	=	SYM
ejpam-540	73	35	c\{0	c\{0	NOUN
ejpam-540	73	36	}	}	PUNCT
ejpam-540	73	37	)	)	PUNCT
ejpam-540	73	38	x(x	x(x	PROPN
ejpam-540	74	1	+	+	CCONJ
ejpam-540	74	2	1	1	NUM
ejpam-540	74	3	)	)	PUNCT
ejpam-540	74	4	.	.	PUNCT
ejpam-540	74	5	.	.	PUNCT
ejpam-540	74	6	.	.	PUNCT
ejpam-540	75	1	(	(	PUNCT
ejpam-540	75	2	x	x	X
ejpam-540	75	3	+	+	NUM
ejpam-540	75	4	k−	k−	NOUN
ejpam-540	75	5	1	1	NUM
ejpam-540	75	6	)	)	PUNCT
ejpam-540	75	7	(	(	PUNCT
ejpam-540	75	8	k	k	PROPN
ejpam-540	75	9	∈	∈	PROPN
ejpam-540	75	10	n	n	PROPN
ejpam-540	75	11	;	;	PUNCT
ejpam-540	75	12	x	x	X
ejpam-540	75	13	∈	∈	PROPN
ejpam-540	75	14	c	c	X
ejpam-540	75	15	)	)	PUNCT
ejpam-540	75	16	,	,	PUNCT
ejpam-540	75	17	we	we	PRON
ejpam-540	75	18	have	have	VERB
ejpam-540	75	19	d0	d0	NOUN
ejpam-540	75	20	λ	λ	PROPN
ejpam-540	75	21	(	(	PUNCT
ejpam-540	75	22	f	f	PROPN
ejpam-540	75	23	∗	∗	PROPN
ejpam-540	75	24	g)(z	g)(z	PUNCT
ejpam-540	75	25	)	)	PUNCT
ejpam-540	75	26	=	=	PUNCT
ejpam-540	76	1	(	(	PUNCT
ejpam-540	76	2	f	f	PROPN
ejpam-540	76	3	∗	∗	PROPN
ejpam-540	76	4	g)(z	g)(z	PUNCT
ejpam-540	76	5	)	)	PUNCT
ejpam-540	77	1	=	=	SYM
ejpam-540	77	2	hl	hl	NOUN
ejpam-540	77	3	,	,	PUNCT
ejpam-540	77	4	m	m	PROPN
ejpam-540	77	5	�	�	PROPN
ejpam-540	77	6	a1	a1	NOUN
ejpam-540	77	7	;	;	PUNCT
ejpam-540	77	8	b1	b1	PROPN
ejpam-540	77	9	�	�	PROPN
ejpam-540	77	10	f	f	PROPN
ejpam-540	77	11	(	(	PUNCT
ejpam-540	77	12	z	z	NOUN
ejpam-540	77	13	)	)	PUNCT
ejpam-540	77	14	,	,	PUNCT
ejpam-540	77	15	where	where	SCONJ
ejpam-540	77	16	the	the	DET
ejpam-540	77	17	operator	operator	NOUN
ejpam-540	77	18	hl	hl	NOUN
ejpam-540	77	19	,	,	PUNCT
ejpam-540	77	20	m	m	PROPN
ejpam-540	77	21	�	�	PROPN
ejpam-540	77	22	a1	a1	NOUN
ejpam-540	77	23	;	;	PUNCT
ejpam-540	77	24	b1	b1	PROPN
ejpam-540	77	25	�	�	PROPN
ejpam-540	77	26	is	be	AUX
ejpam-540	77	27	the	the	DET
ejpam-540	77	28	dziok	dziok	NOUN
ejpam-540	77	29	-	-	PUNCT
ejpam-540	77	30	srivastava	srivastava	PROPN
ejpam-540	77	31	operator	operator	NOUN
ejpam-540	77	32	introduced	introduce	VERB
ejpam-540	77	33	and	and	CCONJ
ejpam-540	77	34	studied	study	VERB
ejpam-540	77	35	by	by	ADP
ejpam-540	77	36	dziok	dziok	NOUN
ejpam-540	77	37	and	and	CCONJ
ejpam-540	77	38	srivastava	srivastava	PROPN
ejpam-540	78	1	[	[	X
ejpam-540	78	2	10	10	NUM
ejpam-540	78	3	]	]	PUNCT
ejpam-540	78	4	(	(	PUNCT
ejpam-540	79	1	[	[	X
ejpam-540	79	2	see	see	VERB
ejpam-540	79	3	also	also	ADV
ejpam-540	79	4	11	11	NUM
ejpam-540	79	5	,	,	PUNCT
ejpam-540	79	6	12	12	NUM
ejpam-540	79	7	]	]	PUNCT
ejpam-540	79	8	)	)	PUNCT
ejpam-540	79	9	.	.	PUNCT
ejpam-540	80	1	the	the	DET
ejpam-540	80	2	operator	operator	NOUN
ejpam-540	80	3	hl	hl	NOUN
ejpam-540	80	4	,	,	PUNCT
ejpam-540	80	5	m	m	PROPN
ejpam-540	80	6	�	�	PROPN
ejpam-540	80	7	a1	a1	NOUN
ejpam-540	80	8	;	;	PUNCT
ejpam-540	80	9	b1	b1	PROPN
ejpam-540	80	10	�	�	PROPN
ejpam-540	80	11	,	,	PUNCT
ejpam-540	80	12	contains	contain	VERB
ejpam-540	80	13	in	in	ADP
ejpam-540	80	14	turn	turn	NOUN
ejpam-540	80	15	many	many	ADJ
ejpam-540	80	16	interesting	interesting	ADJ
ejpam-540	80	17	operators	operator	NOUN
ejpam-540	80	18	such	such	ADJ
ejpam-540	80	19	as	as	ADP
ejpam-540	80	20	,	,	PUNCT
ejpam-540	80	21	hohlov	hohlov	NOUN
ejpam-540	80	22	linear	linear	NOUN
ejpam-540	80	23	operator	operator	NOUN
ejpam-540	80	24	(	(	PUNCT
ejpam-540	80	25	see	see	VERB
ejpam-540	80	26	[	[	X
ejpam-540	80	27	13	13	NUM
ejpam-540	80	28	]	]	NUM
ejpam-540	80	29	)	)	PUNCT
ejpam-540	80	30	,	,	PUNCT
ejpam-540	80	31	the	the	DET
ejpam-540	80	32	carlson	carlson	PROPN
ejpam-540	80	33	-	-	PUNCT
ejpam-540	80	34	shaffer	shaffer	PROPN
ejpam-540	80	35	linear	linear	NOUN
ejpam-540	80	36	operator	operator	NOUN
ejpam-540	80	37	(	(	PUNCT
ejpam-540	80	38	see	see	VERB
ejpam-540	80	39	[	[	X
ejpam-540	80	40	7	7	NUM
ejpam-540	80	41	,	,	PUNCT
ejpam-540	80	42	21	21	NUM
ejpam-540	80	43	]	]	PUNCT
ejpam-540	80	44	)	)	PUNCT
ejpam-540	80	45	,	,	PUNCT
ejpam-540	80	46	the	the	DET
ejpam-540	80	47	ruscheweyh	ruscheweyh	NOUN
ejpam-540	80	48	derivative	derivative	ADJ
ejpam-540	80	49	operator	operator	NOUN
ejpam-540	80	50	(	(	PUNCT
ejpam-540	80	51	see	see	VERB
ejpam-540	80	52	[	[	X
ejpam-540	80	53	20	20	NUM
ejpam-540	80	54	]	]	NUM
ejpam-540	80	55	)	)	PUNCT
ejpam-540	80	56	,	,	PUNCT
ejpam-540	80	57	the	the	DET
ejpam-540	80	58	bernardi	bernardi	PROPN
ejpam-540	80	59	-	-	PUNCT
ejpam-540	80	60	libera	libera	NOUN
ejpam-540	80	61	-	-	PUNCT
ejpam-540	80	62	livingston	livingston	PROPN
ejpam-540	80	63	operator	operator	NOUN
ejpam-540	80	64	(	(	PUNCT
ejpam-540	80	65	see	see	VERB
ejpam-540	80	66	[	[	X
ejpam-540	80	67	4	4	NUM
ejpam-540	80	68	,	,	PUNCT
ejpam-540	80	69	14	14	NUM
ejpam-540	80	70	,	,	PUNCT
ejpam-540	80	71	15	15	NUM
ejpam-540	80	72	]	]	PUNCT
ejpam-540	80	73	)	)	PUNCT
ejpam-540	80	74	and	and	CCONJ
ejpam-540	80	75	owa	owa	PROPN
ejpam-540	80	76	-	-	PROPN
ejpam-540	80	77	srivastava	srivastava	PROPN
ejpam-540	80	78	fractional	fractional	ADJ
ejpam-540	80	79	derivative	derivative	ADJ
ejpam-540	80	80	operator	operator	NOUN
ejpam-540	80	81	(	(	PUNCT
ejpam-540	80	82	see	see	VERB
ejpam-540	80	83	[	[	X
ejpam-540	80	84	19	19	NUM
ejpam-540	80	85	]	]	NUM
ejpam-540	80	86	)	)	PUNCT
ejpam-540	80	87	;	;	PUNCT
ejpam-540	80	88	(	(	PUNCT
ejpam-540	80	89	iii	iii	NOUN
ejpam-540	80	90	)	)	PUNCT
ejpam-540	80	91	for	for	ADP
ejpam-540	80	92	n=	n=	ADJ
ejpam-540	80	93	0	0	NUM
ejpam-540	80	94	and	and	CCONJ
ejpam-540	80	95	g(z	g(z	PROPN
ejpam-540	80	96	)	)	PUNCT
ejpam-540	80	97	=	=	SYM
ejpam-540	81	1	z	z	NOUN
ejpam-540	82	1	+	+	NUM
ejpam-540	82	2	∞	∞	NUM
ejpam-540	82	3	∑	∑	PROPN
ejpam-540	82	4	k=2	k=2	PROPN
ejpam-540	82	5	�	�	PROPN
ejpam-540	82	6	1	1	NUM
ejpam-540	82	7	+	+	NUM
ejpam-540	82	8	l	l	NOUN
ejpam-540	83	1	+	+	NOUN
ejpam-540	83	2	λ(k−	λ(k−	PROPN
ejpam-540	83	3	1	1	NUM
ejpam-540	83	4	)	)	PUNCT
ejpam-540	83	5	1	1	NUM
ejpam-540	83	6	+	+	NUM
ejpam-540	83	7	l	l	NOUN
ejpam-540	83	8	�	�	PROPN
ejpam-540	83	9	s	s	PART
ejpam-540	83	10	zk	zk	PROPN
ejpam-540	83	11	(	(	PUNCT
ejpam-540	83	12	λ≥	λ≥	PROPN
ejpam-540	83	13	0	0	NUM
ejpam-540	83	14	;	;	PUNCT
ejpam-540	83	15	l	l	X
ejpam-540	83	16	,	,	PUNCT
ejpam-540	83	17	s	s	PROPN
ejpam-540	83	18	∈	∈	PROPN
ejpam-540	83	19	n0	n0	NUM
ejpam-540	83	20	)	)	PUNCT
ejpam-540	83	21	,	,	PUNCT
ejpam-540	83	22	(	(	PUNCT
ejpam-540	83	23	10	10	NUM
ejpam-540	83	24	)	)	PUNCT
ejpam-540	83	25	we	we	PRON
ejpam-540	83	26	see	see	VERB
ejpam-540	83	27	that	that	SCONJ
ejpam-540	83	28	d0	d0	PROPN
ejpam-540	83	29	λ	λ	PROPN
ejpam-540	83	30	(	(	PUNCT
ejpam-540	83	31	f	f	PROPN
ejpam-540	83	32	∗	∗	PROPN
ejpam-540	83	33	g)(z	g)(z	PUNCT
ejpam-540	83	34	)	)	PUNCT
ejpam-540	83	35	=	=	PUNCT
ejpam-540	84	1	(	(	PUNCT
ejpam-540	84	2	f	f	PROPN
ejpam-540	84	3	∗	∗	PROPN
ejpam-540	84	4	g)(z	g)(z	PUNCT
ejpam-540	84	5	)	)	PUNCT
ejpam-540	84	6	=	=	PUNCT
ejpam-540	84	7	i(s	i(s	NOUN
ejpam-540	84	8	,	,	PUNCT
ejpam-540	84	9	λ	λ	NOUN
ejpam-540	84	10	,	,	PUNCT
ejpam-540	84	11	l	l	NOUN
ejpam-540	84	12	)	)	PUNCT
ejpam-540	84	13	f	f	NOUN
ejpam-540	84	14	(	(	PUNCT
ejpam-540	84	15	z	z	NOUN
ejpam-540	84	16	)	)	PUNCT
ejpam-540	84	17	,	,	PUNCT
ejpam-540	84	18	where	where	SCONJ
ejpam-540	84	19	i(s	i(s	NOUN
ejpam-540	84	20	,	,	PUNCT
ejpam-540	84	21	λ	λ	NOUN
ejpam-540	84	22	,	,	PUNCT
ejpam-540	84	23	l	l	NOUN
ejpam-540	84	24	)	)	PUNCT
ejpam-540	84	25	is	be	AUX
ejpam-540	84	26	the	the	DET
ejpam-540	84	27	generalized	generalize	VERB
ejpam-540	84	28	multiplier	multipli	ADJ
ejpam-540	84	29	transformations	transformation	NOUN
ejpam-540	84	30	which	which	PRON
ejpam-540	84	31	was	be	AUX
ejpam-540	84	32	introduced	introduce	VERB
ejpam-540	84	33	and	and	CCONJ
ejpam-540	84	34	studied	study	VERB
ejpam-540	84	35	by	by	ADP
ejpam-540	84	36	cătaş	cătaş	PROPN
ejpam-540	84	37	et	et	NOUN
ejpam-540	84	38	al	al	PROPN
ejpam-540	84	39	.	.	PUNCT
ejpam-540	85	1	[	[	X
ejpam-540	85	2	8	8	NUM
ejpam-540	85	3	]	]	PUNCT
ejpam-540	85	4	.	.	PUNCT
ejpam-540	86	1	the	the	DET
ejpam-540	86	2	operator	operator	NOUN
ejpam-540	86	3	i(s	i(s	NOUN
ejpam-540	86	4	,	,	PUNCT
ejpam-540	86	5	λ	λ	X
ejpam-540	86	6	,	,	PUNCT
ejpam-540	86	7	l	l	NOUN
ejpam-540	86	8	)	)	PUNCT
ejpam-540	86	9	,	,	PUNCT
ejpam-540	86	10	contains	contain	VERB
ejpam-540	86	11	as	as	ADP
ejpam-540	86	12	special	special	ADJ
ejpam-540	86	13	cases	case	NOUN
ejpam-540	86	14	,	,	PUNCT
ejpam-540	86	15	the	the	DET
ejpam-540	86	16	multiplier	multipli	ADJ
ejpam-540	86	17	transformation	transformation	NOUN
ejpam-540	86	18	i(s	i(s	NOUN
ejpam-540	86	19	,	,	PUNCT
ejpam-540	86	20	l	l	NOUN
ejpam-540	86	21	)	)	PUNCT
ejpam-540	86	22	(	(	PUNCT
ejpam-540	86	23	see	see	VERB
ejpam-540	86	24	[	[	X
ejpam-540	86	25	9	9	NUM
ejpam-540	86	26	]	]	PUNCT
ejpam-540	86	27	)	)	PUNCT
ejpam-540	86	28	for	for	ADP
ejpam-540	86	29	λ	λ	NOUN
ejpam-540	86	30	=	=	SYM
ejpam-540	86	31	1	1	NUM
ejpam-540	86	32	,	,	PUNCT
ejpam-540	86	33	the	the	DET
ejpam-540	86	34	generalized	generalized	ADJ
ejpam-540	86	35	sălăgean	sălăgean	ADJ
ejpam-540	86	36	operator	operator	NOUN
ejpam-540	86	37	dn	dn	PROPN
ejpam-540	86	38	λ	λ	PROPN
ejpam-540	86	39	introduced	introduce	VERB
ejpam-540	86	40	and	and	CCONJ
ejpam-540	86	41	studied	study	VERB
ejpam-540	86	42	by	by	ADP
ejpam-540	86	43	aloboudi	aloboudi	NOUN
ejpam-540	86	44	[	[	X
ejpam-540	86	45	2	2	NUM
ejpam-540	86	46	]	]	PUNCT
ejpam-540	86	47	which	which	PRON
ejpam-540	86	48	in	in	ADP
ejpam-540	86	49	turn	turn	NOUN
ejpam-540	86	50	contains	contain	VERB
ejpam-540	86	51	as	as	ADP
ejpam-540	86	52	special	special	ADJ
ejpam-540	86	53	case	case	NOUN
ejpam-540	86	54	the	the	DET
ejpam-540	86	55	sălăgean	sălăgean	ADJ
ejpam-540	86	56	operator	operator	NOUN
ejpam-540	86	57	dn	dn	NOUN
ejpam-540	86	58	(	(	PUNCT
ejpam-540	86	59	see	see	VERB
ejpam-540	86	60	[	[	X
ejpam-540	86	61	21	21	NUM
ejpam-540	86	62	]	]	PUNCT
ejpam-540	86	63	)	)	PUNCT
ejpam-540	86	64	;	;	PUNCT
ejpam-540	86	65	m.	m.	NOUN
ejpam-540	86	66	aouf	aouf	PROPN
ejpam-540	86	67	,	,	PUNCT
ejpam-540	86	68	t.	t.	PROPN
ejpam-540	86	69	seoudy	seoudy	PROPN
ejpam-540	86	70	/	/	SYM
ejpam-540	86	71	eur	eur	PROPN
ejpam-540	86	72	.	.	PUNCT
ejpam-540	87	1	j.	j.	PROPN
ejpam-540	87	2	pure	pure	PROPN
ejpam-540	87	3	appl	appl	PROPN
ejpam-540	87	4	.	.	PROPN
ejpam-540	87	5	math	math	PROPN
ejpam-540	87	6	,	,	PUNCT
ejpam-540	87	7	4	4	NUM
ejpam-540	87	8	(	(	PUNCT
ejpam-540	87	9	2011	2011	NUM
ejpam-540	87	10	)	)	PUNCT
ejpam-540	87	11	,	,	PUNCT
ejpam-540	87	12	1	1	NUM
ejpam-540	87	13	-	-	SYM
ejpam-540	87	14	13	13	NUM
ejpam-540	87	15	4	4	NUM
ejpam-540	87	16	(	(	PUNCT
ejpam-540	87	17	iv	iv	X
ejpam-540	87	18	)	)	PUNCT
ejpam-540	87	19	for	for	ADP
ejpam-540	87	20	g(z	g(z	PROPN
ejpam-540	87	21	)	)	PUNCT
ejpam-540	87	22	of	of	ADP
ejpam-540	87	23	the	the	DET
ejpam-540	87	24	form	form	NOUN
ejpam-540	87	25	(	(	PUNCT
ejpam-540	87	26	9	9	NUM
ejpam-540	87	27	)	)	PUNCT
ejpam-540	87	28	,	,	PUNCT
ejpam-540	87	29	the	the	DET
ejpam-540	87	30	operator	operator	NOUN
ejpam-540	87	31	dn	dn	PROPN
ejpam-540	87	32	λ	λ	PROPN
ejpam-540	87	33	(	(	PUNCT
ejpam-540	87	34	f	f	PROPN
ejpam-540	87	35	∗	∗	PROPN
ejpam-540	87	36	g)(z	g)(z	PUNCT
ejpam-540	87	37	)	)	PUNCT
ejpam-540	87	38	=	=	PUNCT
ejpam-540	87	39	dn	dn	PROPN
ejpam-540	87	40	λ	λ	PROPN
ejpam-540	87	41	(	(	PUNCT
ejpam-540	87	42	a1	a1	PROPN
ejpam-540	87	43	,	,	PUNCT
ejpam-540	87	44	b1	b1	NOUN
ejpam-540	87	45	)	)	PUNCT
ejpam-540	87	46	f	f	PROPN
ejpam-540	87	47	(	(	PUNCT
ejpam-540	87	48	z	z	NOUN
ejpam-540	87	49	)	)	PUNCT
ejpam-540	87	50	,	,	PUNCT
ejpam-540	87	51	introduced	introduce	VERB
ejpam-540	87	52	and	and	CCONJ
ejpam-540	87	53	studied	study	VERB
ejpam-540	87	54	by	by	ADP
ejpam-540	87	55	selvaraj	selvaraj	ADJ
ejpam-540	87	56	and	and	CCONJ
ejpam-540	87	57	karthikeyan	karthikeyan	ADJ
ejpam-540	88	1	[	[	X
ejpam-540	88	2	23	23	NUM
ejpam-540	88	3	]	]	PUNCT
ejpam-540	88	4	.	.	PUNCT
ejpam-540	89	1	in	in	ADP
ejpam-540	89	2	this	this	DET
ejpam-540	89	3	paper	paper	NOUN
ejpam-540	89	4	,	,	PUNCT
ejpam-540	89	5	we	we	PRON
ejpam-540	89	6	will	will	AUX
ejpam-540	89	7	derive	derive	VERB
ejpam-540	89	8	several	several	ADJ
ejpam-540	89	9	subordination	subordination	NOUN
ejpam-540	89	10	results	result	NOUN
ejpam-540	89	11	,	,	PUNCT
ejpam-540	89	12	superordination	superordination	NOUN
ejpam-540	89	13	results	result	NOUN
ejpam-540	89	14	and	and	CCONJ
ejpam-540	89	15	sandwich	sandwich	NOUN
ejpam-540	89	16	results	result	NOUN
ejpam-540	89	17	involving	involve	VERB
ejpam-540	89	18	the	the	DET
ejpam-540	89	19	operator	operator	NOUN
ejpam-540	89	20	dn	dn	PROPN
ejpam-540	89	21	λ	λ	PROPN
ejpam-540	89	22	(	(	PUNCT
ejpam-540	89	23	f	f	PROPN
ejpam-540	89	24	∗	∗	PROPN
ejpam-540	89	25	g)(z	g)(z	PUNCT
ejpam-540	89	26	)	)	PUNCT
ejpam-540	89	27	and	and	CCONJ
ejpam-540	89	28	some	some	PRON
ejpam-540	89	29	of	of	ADP
ejpam-540	89	30	its	its	PRON
ejpam-540	89	31	special	special	ADJ
ejpam-540	89	32	operators	operator	NOUN
ejpam-540	89	33	by	by	ADP
ejpam-540	89	34	some	some	DET
ejpam-540	89	35	choices	choice	NOUN
ejpam-540	89	36	of	of	ADP
ejpam-540	89	37	n	n	CCONJ
ejpam-540	89	38	,	,	PUNCT
ejpam-540	89	39	λ	λ	PROPN
ejpam-540	89	40	and	and	CCONJ
ejpam-540	89	41	the	the	DET
ejpam-540	89	42	function	function	NOUN
ejpam-540	89	43	g(z	g(z	PROPN
ejpam-540	89	44	)	)	PUNCT
ejpam-540	89	45	.	.	PUNCT
ejpam-540	90	1	2	2	X
ejpam-540	90	2	.	.	X
ejpam-540	90	3	preliminaries	preliminary	NOUN
ejpam-540	90	4	in	in	ADP
ejpam-540	90	5	order	order	NOUN
ejpam-540	90	6	to	to	PART
ejpam-540	90	7	prove	prove	VERB
ejpam-540	90	8	our	our	PRON
ejpam-540	90	9	subordinations	subordination	NOUN
ejpam-540	90	10	and	and	CCONJ
ejpam-540	90	11	superordinations	superordination	NOUN
ejpam-540	90	12	,	,	PUNCT
ejpam-540	90	13	we	we	PRON
ejpam-540	90	14	need	need	VERB
ejpam-540	90	15	the	the	DET
ejpam-540	90	16	following	follow	VERB
ejpam-540	90	17	definition	definition	NOUN
ejpam-540	90	18	and	and	CCONJ
ejpam-540	90	19	lemmas	lemmas	PROPN
ejpam-540	90	20	.	.	PUNCT
ejpam-540	91	1	definition	definition	NOUN
ejpam-540	91	2	1	1	NUM
ejpam-540	91	3	.	.	PUNCT
ejpam-540	92	1	[	[	X
ejpam-540	92	2	17	17	NUM
ejpam-540	92	3	]	]	PUNCT
ejpam-540	92	4	denote	denote	NOUN
ejpam-540	92	5	by	by	ADP
ejpam-540	92	6	q	q	PROPN
ejpam-540	92	7	,	,	PUNCT
ejpam-540	92	8	the	the	DET
ejpam-540	92	9	set	set	NOUN
ejpam-540	92	10	of	of	ADP
ejpam-540	92	11	all	all	DET
ejpam-540	92	12	functions	function	NOUN
ejpam-540	92	13	f	f	PROPN
ejpam-540	92	14	that	that	PRON
ejpam-540	92	15	are	be	AUX
ejpam-540	92	16	analytic	analytic	ADJ
ejpam-540	92	17	and	and	CCONJ
ejpam-540	92	18	injective	injective	ADJ
ejpam-540	92	19	on	on	ADP
ejpam-540	92	20	u\e	u\e	PROPN
ejpam-540	92	21	(	(	PUNCT
ejpam-540	92	22	f	f	PROPN
ejpam-540	92	23	)	)	PUNCT
ejpam-540	92	24	,	,	PUNCT
ejpam-540	92	25	where	where	SCONJ
ejpam-540	92	26	e	e	X
ejpam-540	92	27	(	(	PUNCT
ejpam-540	92	28	f	f	X
ejpam-540	92	29	)	)	PUNCT
ejpam-540	92	30	=	=	SYM
ejpam-540	92	31	�	�	PROPN
ejpam-540	92	32	ζ	ζ	PROPN
ejpam-540	92	33	∈	∈	PROPN
ejpam-540	92	34	∂	∂	NOUN
ejpam-540	92	35	u	u	NOUN
ejpam-540	92	36	:	:	PUNCT
ejpam-540	92	37	lim	lim	PROPN
ejpam-540	92	38	z→ζ	z→ζ	NUM
ejpam-540	92	39	f	f	X
ejpam-540	92	40	(	(	PUNCT
ejpam-540	92	41	z	z	NOUN
ejpam-540	92	42	)	)	PUNCT
ejpam-540	93	1	=	=	NOUN
ejpam-540	93	2	∞	∞	PROPN
ejpam-540	93	3	�	�	PROPN
ejpam-540	93	4	,	,	PUNCT
ejpam-540	93	5	and	and	CCONJ
ejpam-540	93	6	are	be	AUX
ejpam-540	93	7	such	such	ADJ
ejpam-540	94	1	that	that	SCONJ
ejpam-540	94	2	f	f	PROPN
ejpam-540	94	3	′	′	NUM
ejpam-540	94	4	(	(	PUNCT
ejpam-540	94	5	ζ	ζ	NOUN
ejpam-540	94	6	)	)	PUNCT
ejpam-540	94	7	6=	6=	ADP
ejpam-540	94	8	0	0	NUM
ejpam-540	94	9	for	for	ADP
ejpam-540	94	10	ζ	ζ	PROPN
ejpam-540	94	11	∈	∈	PROPN
ejpam-540	94	12	∂	∂	NUM
ejpam-540	94	13	u\e	u\e	PROPN
ejpam-540	94	14	�	�	PROPN
ejpam-540	94	15	f	f	PROPN
ejpam-540	94	16	�	�	PROPN
ejpam-540	94	17	.	.	PUNCT
ejpam-540	95	1	lemma	lemma	PROPN
ejpam-540	95	2	1	1	NUM
ejpam-540	95	3	.	.	PUNCT
ejpam-540	96	1	[	[	X
ejpam-540	96	2	17	17	NUM
ejpam-540	96	3	]	]	PUNCT
ejpam-540	96	4	let	let	VERB
ejpam-540	96	5	q	q	NOUN
ejpam-540	96	6	(	(	PUNCT
ejpam-540	96	7	z	z	NOUN
ejpam-540	96	8	)	)	PUNCT
ejpam-540	96	9	be	be	AUX
ejpam-540	96	10	univalent	univalent	ADJ
ejpam-540	96	11	in	in	ADP
ejpam-540	96	12	the	the	DET
ejpam-540	96	13	unit	unit	NOUN
ejpam-540	96	14	disk	disk	NOUN
ejpam-540	96	15	u	u	NOUN
ejpam-540	96	16	and	and	CCONJ
ejpam-540	96	17	θ	θ	PROPN
ejpam-540	96	18	and	and	CCONJ
ejpam-540	96	19	ϕ	ϕ	PROPN
ejpam-540	96	20	be	be	AUX
ejpam-540	96	21	analytic	analytic	ADJ
ejpam-540	96	22	in	in	ADP
ejpam-540	96	23	a	a	DET
ejpam-540	96	24	domain	domain	NOUN
ejpam-540	96	25	d	d	NOUN
ejpam-540	96	26	containing	contain	VERB
ejpam-540	96	27	q(u	q(u	NOUN
ejpam-540	96	28	)	)	PUNCT
ejpam-540	96	29	with	with	ADP
ejpam-540	96	30	ϕ	ϕ	PROPN
ejpam-540	96	31	(	(	PUNCT
ejpam-540	96	32	w	w	NOUN
ejpam-540	96	33	)	)	PUNCT
ejpam-540	96	34	6=	6=	ADP
ejpam-540	96	35	0	0	NUM
ejpam-540	96	36	when	when	SCONJ
ejpam-540	96	37	w	w	PROPN
ejpam-540	96	38	∈	∈	PROPN
ejpam-540	96	39	q(u	q(u	NOUN
ejpam-540	96	40	)	)	PUNCT
ejpam-540	96	41	.	.	PUNCT
ejpam-540	97	1	set	set	VERB
ejpam-540	97	2	ψ	ψ	X
ejpam-540	97	3	(	(	PUNCT
ejpam-540	97	4	z	z	NOUN
ejpam-540	97	5	)	)	PUNCT
ejpam-540	97	6	=	=	SYM
ejpam-540	97	7	zq	zq	PROPN
ejpam-540	97	8	′	′	NUM
ejpam-540	97	9	(	(	PUNCT
ejpam-540	97	10	z)ϕ	z)ϕ	X
ejpam-540	97	11	�	�	PROPN
ejpam-540	97	12	q	q	PROPN
ejpam-540	97	13	(	(	PUNCT
ejpam-540	97	14	z	z	NOUN
ejpam-540	97	15	)	)	PUNCT
ejpam-540	97	16	�	�	PROPN
ejpam-540	97	17	and	and	CCONJ
ejpam-540	97	18	h(z	h(z	NOUN
ejpam-540	97	19	)	)	PUNCT
ejpam-540	97	20	=	=	SYM
ejpam-540	97	21	θ	θ	PROPN
ejpam-540	97	22	�	�	PROPN
ejpam-540	97	23	q	q	PROPN
ejpam-540	97	24	(	(	PUNCT
ejpam-540	97	25	z	z	NOUN
ejpam-540	97	26	)	)	PUNCT
ejpam-540	97	27	�	�	PROPN
ejpam-540	98	1	+	+	NOUN
ejpam-540	98	2	ψ	ψ	X
ejpam-540	98	3	(	(	PUNCT
ejpam-540	98	4	z	z	NOUN
ejpam-540	98	5	)	)	PUNCT
ejpam-540	98	6	.	.	PUNCT
ejpam-540	99	1	(	(	PUNCT
ejpam-540	99	2	11	11	X
ejpam-540	99	3	)	)	PUNCT
ejpam-540	99	4	suppose	suppose	VERB
ejpam-540	99	5	that	that	SCONJ
ejpam-540	99	6	(	(	PUNCT
ejpam-540	99	7	i	i	NOUN
ejpam-540	99	8	)	)	PUNCT
ejpam-540	99	9	ψ	ψ	PROPN
ejpam-540	99	10	(	(	PUNCT
ejpam-540	99	11	z	z	NOUN
ejpam-540	99	12	)	)	PUNCT
ejpam-540	99	13	is	be	AUX
ejpam-540	99	14	starlike	starlike	NOUN
ejpam-540	99	15	univalent	univalent	ADJ
ejpam-540	99	16	in	in	ADP
ejpam-540	99	17	u	u	PROPN
ejpam-540	99	18	,	,	PUNCT
ejpam-540	99	19	(	(	PUNCT
ejpam-540	99	20	ii	ii	NOUN
ejpam-540	99	21	)	)	PUNCT
ejpam-540	99	22	ℜ	ℜ	PROPN
ejpam-540	99	23	(	(	PUNCT
ejpam-540	99	24	zh	zh	INTJ
ejpam-540	99	25	′	′	NUM
ejpam-540	99	26	(	(	PUNCT
ejpam-540	99	27	z	z	NOUN
ejpam-540	99	28	)	)	PUNCT
ejpam-540	99	29	ψ	ψ	X
ejpam-540	99	30	(	(	PUNCT
ejpam-540	99	31	z	z	NOUN
ejpam-540	99	32	)	)	PUNCT
ejpam-540	99	33	)	)	PUNCT
ejpam-540	99	34	>	>	X
ejpam-540	99	35	0	0	PUNCT
ejpam-540	100	1	for	for	ADP
ejpam-540	100	2	z	z	PROPN
ejpam-540	100	3	∈	∈	PROPN
ejpam-540	100	4	u.	u.	VERB
ejpam-540	100	5	if	if	SCONJ
ejpam-540	100	6	p	p	PROPN
ejpam-540	100	7	(	(	PUNCT
ejpam-540	100	8	z	z	NOUN
ejpam-540	100	9	)	)	PUNCT
ejpam-540	100	10	is	be	AUX
ejpam-540	100	11	analytic	analytic	ADJ
ejpam-540	100	12	with	with	ADP
ejpam-540	100	13	p(0	p(0	PROPN
ejpam-540	101	1	)	)	PUNCT
ejpam-540	101	2	=	=	SYM
ejpam-540	101	3	q(0	q(0	PROPN
ejpam-540	101	4	)	)	PUNCT
ejpam-540	101	5	,	,	PUNCT
ejpam-540	101	6	p(u)⊂	p(u)⊂	NOUN
ejpam-540	101	7	d	d	NOUN
ejpam-540	101	8	and	and	CCONJ
ejpam-540	101	9	θ	θ	PROPN
ejpam-540	101	10	�	�	PROPN
ejpam-540	101	11	p	p	X
ejpam-540	101	12	(	(	PUNCT
ejpam-540	101	13	z	z	NOUN
ejpam-540	101	14	)	)	PUNCT
ejpam-540	101	15	�	�	PROPN
ejpam-540	102	1	+	+	CCONJ
ejpam-540	102	2	zp	zp	PROPN
ejpam-540	102	3	′	′	NUM
ejpam-540	102	4	(	(	PUNCT
ejpam-540	102	5	z)ϕ	z)ϕ	X
ejpam-540	102	6	�	�	PROPN
ejpam-540	102	7	p	p	PROPN
ejpam-540	102	8	(	(	PUNCT
ejpam-540	102	9	z	z	NOUN
ejpam-540	102	10	)	)	PUNCT
ejpam-540	102	11	�	�	PROPN
ejpam-540	102	12	≺	≺	NOUN
ejpam-540	102	13	θ	θ	PROPN
ejpam-540	102	14	�	�	PROPN
ejpam-540	102	15	q	q	PROPN
ejpam-540	102	16	(	(	PUNCT
ejpam-540	102	17	z	z	NOUN
ejpam-540	102	18	)	)	PUNCT
ejpam-540	102	19	�	�	PROPN
ejpam-540	102	20	+	+	NUM
ejpam-540	102	21	zq	zq	PROPN
ejpam-540	102	22	′	′	NUM
ejpam-540	102	23	(	(	PUNCT
ejpam-540	102	24	z)ϕ	z)ϕ	X
ejpam-540	102	25	�	�	PROPN
ejpam-540	102	26	q	q	PROPN
ejpam-540	102	27	(	(	PUNCT
ejpam-540	102	28	z	z	NOUN
ejpam-540	102	29	)	)	PUNCT
ejpam-540	102	30	�	�	PROPN
ejpam-540	102	31	,	,	PUNCT
ejpam-540	102	32	(	(	PUNCT
ejpam-540	102	33	12	12	NUM
ejpam-540	102	34	)	)	PUNCT
ejpam-540	102	35	then	then	ADV
ejpam-540	102	36	p(z	p(z	NOUN
ejpam-540	102	37	)	)	PUNCT
ejpam-540	102	38	≺	≺	NOUN
ejpam-540	102	39	q(z	q(z	PROPN
ejpam-540	102	40	)	)	PUNCT
ejpam-540	102	41	and	and	CCONJ
ejpam-540	102	42	q	q	PROPN
ejpam-540	102	43	(	(	PUNCT
ejpam-540	102	44	z	z	NOUN
ejpam-540	102	45	)	)	PUNCT
ejpam-540	102	46	is	be	AUX
ejpam-540	102	47	the	the	DET
ejpam-540	102	48	best	good	ADJ
ejpam-540	102	49	dominant	dominant	NOUN
ejpam-540	102	50	.	.	PUNCT
ejpam-540	103	1	taking	take	VERB
ejpam-540	103	2	θ	θ	PROPN
ejpam-540	103	3	(	(	PUNCT
ejpam-540	103	4	w	w	NOUN
ejpam-540	103	5	)	)	PUNCT
ejpam-540	103	6	=	=	SYM
ejpam-540	103	7	αw	αw	PROPN
ejpam-540	103	8	and	and	CCONJ
ejpam-540	103	9	ϕ	ϕ	PROPN
ejpam-540	103	10	(	(	PUNCT
ejpam-540	103	11	w	w	NOUN
ejpam-540	103	12	)	)	PUNCT
ejpam-540	103	13	=	=	SYM
ejpam-540	103	14	γ	γ	PROPN
ejpam-540	103	15	in	in	ADP
ejpam-540	103	16	lemma	lemma	PROPN
ejpam-540	103	17	1	1	NUM
ejpam-540	103	18	,	,	PUNCT
ejpam-540	103	19	shanmugam	shanmugam	PROPN
ejpam-540	103	20	et	et	PROPN
ejpam-540	103	21	al	al	PROPN
ejpam-540	103	22	.	.	PUNCT
ejpam-540	104	1	[	[	X
ejpam-540	104	2	24	24	NUM
ejpam-540	104	3	]	]	PUNCT
ejpam-540	104	4	obtained	obtain	VERB
ejpam-540	104	5	the	the	DET
ejpam-540	104	6	following	follow	VERB
ejpam-540	104	7	lemma	lemma	PROPN
ejpam-540	104	8	.	.	PUNCT
ejpam-540	105	1	lemma	lemma	PROPN
ejpam-540	105	2	2	2	NUM
ejpam-540	105	3	.	.	PUNCT
ejpam-540	106	1	[	[	X
ejpam-540	106	2	24	24	NUM
ejpam-540	106	3	]	]	PUNCT
ejpam-540	106	4	let	let	VERB
ejpam-540	106	5	q	q	NOUN
ejpam-540	106	6	(	(	PUNCT
ejpam-540	106	7	z	z	NOUN
ejpam-540	106	8	)	)	PUNCT
ejpam-540	106	9	be	be	AUX
ejpam-540	106	10	univalent	univalent	ADJ
ejpam-540	106	11	in	in	ADP
ejpam-540	106	12	u	u	NOUN
ejpam-540	106	13	with	with	ADP
ejpam-540	106	14	q(0	q(0	PROPN
ejpam-540	106	15	)	)	PUNCT
ejpam-540	106	16	=	=	SYM
ejpam-540	107	1	1	1	X
ejpam-540	107	2	.	.	PUNCT
ejpam-540	107	3	let	let	VERB
ejpam-540	107	4	α	α	PRON
ejpam-540	107	5	∈	∈	PROPN
ejpam-540	107	6	c	c	X
ejpam-540	107	7	;	;	PUNCT
ejpam-540	107	8	γ	γ	PROPN
ejpam-540	107	9	∈	∈	PROPN
ejpam-540	107	10	c∗	c∗	NOUN
ejpam-540	107	11	,	,	PUNCT
ejpam-540	107	12	further	far	ADV
ejpam-540	107	13	assume	assume	VERB
ejpam-540	107	14	that	that	SCONJ
ejpam-540	107	15	ℜ	ℜ	PROPN
ejpam-540	107	16	(	(	PUNCT
ejpam-540	107	17	1	1	NUM
ejpam-540	107	18	+	+	NUM
ejpam-540	107	19	zq	zq	PROPN
ejpam-540	107	20	′′	′′	PROPN
ejpam-540	107	21	(	(	PUNCT
ejpam-540	107	22	z	z	NOUN
ejpam-540	107	23	)	)	PUNCT
ejpam-540	107	24	q	q	NOUN
ejpam-540	108	1	′	′	NUM
ejpam-540	108	2	(	(	PUNCT
ejpam-540	108	3	z	z	NOUN
ejpam-540	108	4	)	)	PUNCT
ejpam-540	108	5	)	)	PUNCT
ejpam-540	109	1	>	>	PUNCT
ejpam-540	109	2	max	max	PROPN
ejpam-540	109	3	�	�	PROPN
ejpam-540	109	4	0,−ℜ	0,−ℜ	NUM
ejpam-540	109	5	�	�	PROPN
ejpam-540	109	6	α	α	PROPN
ejpam-540	109	7	γ	γ	PROPN
ejpam-540	109	8	�	�	PROPN
ejpam-540	109	9	�	�	PROPN
ejpam-540	109	10	.	.	PUNCT
ejpam-540	110	1	(	(	PUNCT
ejpam-540	110	2	13	13	NUM
ejpam-540	110	3	)	)	PUNCT
ejpam-540	110	4	if	if	SCONJ
ejpam-540	110	5	p	p	PROPN
ejpam-540	110	6	(	(	PUNCT
ejpam-540	110	7	z	z	NOUN
ejpam-540	110	8	)	)	PUNCT
ejpam-540	110	9	is	be	AUX
ejpam-540	110	10	analytic	analytic	ADJ
ejpam-540	110	11	in	in	ADP
ejpam-540	110	12	u	u	NOUN
ejpam-540	110	13	,	,	PUNCT
ejpam-540	110	14	and	and	CCONJ
ejpam-540	110	15	αp	αp	INTJ
ejpam-540	110	16	(	(	PUNCT
ejpam-540	110	17	z	z	NOUN
ejpam-540	110	18	)	)	PUNCT
ejpam-540	111	1	+	+	CCONJ
ejpam-540	111	2	γzp	γzp	ADV
ejpam-540	112	1	′	′	NUM
ejpam-540	112	2	(	(	PUNCT
ejpam-540	112	3	z	z	NOUN
ejpam-540	112	4	)	)	PUNCT
ejpam-540	112	5	≺	≺	NOUN
ejpam-540	112	6	αq	αq	X
ejpam-540	112	7	(	(	PUNCT
ejpam-540	112	8	z	z	NOUN
ejpam-540	112	9	)	)	PUNCT
ejpam-540	113	1	+	+	NUM
ejpam-540	113	2	γzq	γzq	X
ejpam-540	113	3	′	′	NUM
ejpam-540	113	4	(	(	PUNCT
ejpam-540	113	5	z	z	NOUN
ejpam-540	113	6	)	)	PUNCT
ejpam-540	113	7	,	,	PUNCT
ejpam-540	113	8	then	then	ADV
ejpam-540	113	9	p	p	X
ejpam-540	113	10	(	(	PUNCT
ejpam-540	113	11	z)≺	z)≺	PROPN
ejpam-540	113	12	q	q	PROPN
ejpam-540	113	13	(	(	PUNCT
ejpam-540	113	14	z	z	NOUN
ejpam-540	113	15	)	)	PUNCT
ejpam-540	113	16	and	and	CCONJ
ejpam-540	113	17	q	q	PROPN
ejpam-540	113	18	(	(	PUNCT
ejpam-540	113	19	z	z	NOUN
ejpam-540	113	20	)	)	PUNCT
ejpam-540	113	21	is	be	AUX
ejpam-540	113	22	the	the	DET
ejpam-540	113	23	best	good	ADJ
ejpam-540	113	24	dominant	dominant	ADJ
ejpam-540	113	25	.	.	PUNCT
ejpam-540	114	1	m.	m.	PROPN
ejpam-540	114	2	aouf	aouf	PROPN
ejpam-540	114	3	,	,	PUNCT
ejpam-540	114	4	t.	t.	PROPN
ejpam-540	114	5	seoudy	seoudy	PROPN
ejpam-540	114	6	/	/	SYM
ejpam-540	114	7	eur	eur	PROPN
ejpam-540	114	8	.	.	PUNCT
ejpam-540	115	1	j.	j.	PROPN
ejpam-540	115	2	pure	pure	PROPN
ejpam-540	115	3	appl	appl	PROPN
ejpam-540	115	4	.	.	PROPN
ejpam-540	115	5	math	math	PROPN
ejpam-540	115	6	,	,	PUNCT
ejpam-540	115	7	4	4	NUM
ejpam-540	115	8	(	(	PUNCT
ejpam-540	115	9	2011	2011	NUM
ejpam-540	115	10	)	)	PUNCT
ejpam-540	115	11	,	,	PUNCT
ejpam-540	115	12	1	1	NUM
ejpam-540	115	13	-	-	SYM
ejpam-540	115	14	13	13	NUM
ejpam-540	115	15	5	5	NUM
ejpam-540	115	16	lemma	lemma	PROPN
ejpam-540	115	17	3	3	X
ejpam-540	115	18	.	.	PUNCT
ejpam-540	116	1	[	[	X
ejpam-540	116	2	5	5	X
ejpam-540	116	3	]	]	PUNCT
ejpam-540	116	4	let	let	VERB
ejpam-540	116	5	q	q	NOUN
ejpam-540	116	6	(	(	PUNCT
ejpam-540	116	7	z	z	NOUN
ejpam-540	116	8	)	)	PUNCT
ejpam-540	116	9	be	be	AUX
ejpam-540	116	10	convex	convex	ADJ
ejpam-540	116	11	univalent	univalent	ADJ
ejpam-540	116	12	in	in	ADP
ejpam-540	116	13	u	u	PROPN
ejpam-540	116	14	and	and	CCONJ
ejpam-540	116	15	ϑ	ϑ	PROPN
ejpam-540	116	16	and	and	CCONJ
ejpam-540	116	17	φ	φ	PROPN
ejpam-540	116	18	be	be	AUX
ejpam-540	116	19	analytic	analytic	ADJ
ejpam-540	116	20	in	in	ADP
ejpam-540	116	21	a	a	DET
ejpam-540	116	22	domain	domain	NOUN
ejpam-540	116	23	d	d	NOUN
ejpam-540	116	24	containing	contain	VERB
ejpam-540	116	25	q(u	q(u	NOUN
ejpam-540	116	26	)	)	PUNCT
ejpam-540	116	27	.	.	PUNCT
ejpam-540	117	1	suppose	suppose	VERB
ejpam-540	117	2	that	that	SCONJ
ejpam-540	117	3	(	(	PUNCT
ejpam-540	117	4	i	i	NOUN
ejpam-540	117	5	)	)	PUNCT
ejpam-540	117	6	ℜ	ℜ	PROPN
ejpam-540	117	7	�	�	PROPN
ejpam-540	117	8	ϑ	ϑ	X
ejpam-540	117	9	′	′	NUM
ejpam-540	117	10	(	(	PUNCT
ejpam-540	117	11	q(z	q(z	PROPN
ejpam-540	117	12	)	)	PUNCT
ejpam-540	117	13	)	)	PUNCT
ejpam-540	117	14	φ(q(z	φ(q(z	NOUN
ejpam-540	117	15	)	)	PUNCT
ejpam-540	117	16	)	)	PUNCT
ejpam-540	117	17	�	�	PROPN
ejpam-540	117	18	>	>	X
ejpam-540	117	19	0	0	PUNCT
ejpam-540	117	20	for	for	ADP
ejpam-540	117	21	z	z	PROPN
ejpam-540	117	22	∈	∈	PROPN
ejpam-540	117	23	u	u	PROPN
ejpam-540	117	24	,	,	PUNCT
ejpam-540	117	25	(	(	PUNCT
ejpam-540	117	26	ii	ii	NOUN
ejpam-540	117	27	)	)	PUNCT
ejpam-540	117	28	ψ(z	ψ(z	PROPN
ejpam-540	117	29	)	)	PUNCT
ejpam-540	118	1	=	=	SYM
ejpam-540	118	2	zq	zq	PROPN
ejpam-540	118	3	′	′	NUM
ejpam-540	118	4	(	(	PUNCT
ejpam-540	118	5	z)φ	z)φ	NUM
ejpam-540	118	6	�	�	PROPN
ejpam-540	118	7	q	q	PROPN
ejpam-540	118	8	(	(	PUNCT
ejpam-540	118	9	z	z	NOUN
ejpam-540	118	10	)	)	PUNCT
ejpam-540	118	11	�	�	PROPN
ejpam-540	118	12	is	be	AUX
ejpam-540	118	13	starlike	starlike	NOUN
ejpam-540	118	14	univalent	univalent	ADJ
ejpam-540	118	15	in	in	ADP
ejpam-540	118	16	u.	u.	PROPN
ejpam-540	118	17	if	if	SCONJ
ejpam-540	118	18	p(z	p(z	NOUN
ejpam-540	118	19	)	)	PUNCT
ejpam-540	118	20	∈	∈	PROPN
ejpam-540	118	21	h[q(0	h[q(0	PROPN
ejpam-540	118	22	)	)	PUNCT
ejpam-540	118	23	,	,	PUNCT
ejpam-540	118	24	1]∩q	1]∩q	NUM
ejpam-540	118	25	,	,	PUNCT
ejpam-540	118	26	with	with	ADP
ejpam-540	118	27	p(u	p(u	NOUN
ejpam-540	118	28	)	)	PUNCT
ejpam-540	118	29	⊆	⊆	NUM
ejpam-540	118	30	d	d	NOUN
ejpam-540	118	31	,	,	PUNCT
ejpam-540	118	32	and	and	CCONJ
ejpam-540	118	33	ϑ	ϑ	X
ejpam-540	118	34	�	�	PROPN
ejpam-540	118	35	p	p	X
ejpam-540	118	36	(	(	PUNCT
ejpam-540	118	37	z	z	NOUN
ejpam-540	118	38	)	)	PUNCT
ejpam-540	118	39	�	�	PROPN
ejpam-540	119	1	+	+	CCONJ
ejpam-540	119	2	zp	zp	PROPN
ejpam-540	119	3	′	′	NUM
ejpam-540	119	4	(	(	PUNCT
ejpam-540	119	5	z)φ	z)φ	NUM
ejpam-540	119	6	�	�	PROPN
ejpam-540	119	7	p	p	PROPN
ejpam-540	119	8	(	(	PUNCT
ejpam-540	119	9	z	z	NOUN
ejpam-540	119	10	)	)	PUNCT
ejpam-540	119	11	�	�	PROPN
ejpam-540	119	12	is	be	AUX
ejpam-540	119	13	univalent	univalent	ADJ
ejpam-540	119	14	in	in	ADP
ejpam-540	119	15	u	u	PROPN
ejpam-540	119	16	and	and	CCONJ
ejpam-540	119	17	ϑ	ϑ	PRON
ejpam-540	119	18	�	�	PROPN
ejpam-540	119	19	q	q	PROPN
ejpam-540	119	20	(	(	PUNCT
ejpam-540	119	21	z	z	NOUN
ejpam-540	119	22	)	)	PUNCT
ejpam-540	119	23	�	�	PROPN
ejpam-540	119	24	+	+	NUM
ejpam-540	120	1	zq	zq	PROPN
ejpam-540	120	2	′	′	NUM
ejpam-540	120	3	(	(	PUNCT
ejpam-540	120	4	z)φ	z)φ	NUM
ejpam-540	120	5	�	�	PROPN
ejpam-540	120	6	q	q	PROPN
ejpam-540	120	7	(	(	PUNCT
ejpam-540	120	8	z	z	NOUN
ejpam-540	120	9	)	)	PUNCT
ejpam-540	120	10	�	�	PROPN
ejpam-540	120	11	≺	≺	NOUN
ejpam-540	120	12	ϑ	ϑ	X
ejpam-540	120	13	�	�	PROPN
ejpam-540	120	14	p	p	X
ejpam-540	120	15	(	(	PUNCT
ejpam-540	120	16	z	z	NOUN
ejpam-540	120	17	)	)	PUNCT
ejpam-540	120	18	�	�	PROPN
ejpam-540	121	1	+	+	CCONJ
ejpam-540	121	2	zp	zp	PROPN
ejpam-540	121	3	′	′	NUM
ejpam-540	121	4	(	(	PUNCT
ejpam-540	121	5	z)φ	z)φ	NUM
ejpam-540	121	6	�	�	PROPN
ejpam-540	121	7	p	p	PROPN
ejpam-540	121	8	(	(	PUNCT
ejpam-540	121	9	z	z	NOUN
ejpam-540	121	10	)	)	PUNCT
ejpam-540	121	11	�	�	PROPN
ejpam-540	121	12	,	,	PUNCT
ejpam-540	121	13	(	(	PUNCT
ejpam-540	121	14	14	14	NUM
ejpam-540	121	15	)	)	PUNCT
ejpam-540	121	16	then	then	ADV
ejpam-540	121	17	q(z)≺	q(z)≺	INTJ
ejpam-540	121	18	p(z	p(z	CCONJ
ejpam-540	121	19	)	)	PUNCT
ejpam-540	121	20	and	and	CCONJ
ejpam-540	121	21	q	q	PROPN
ejpam-540	121	22	(	(	PUNCT
ejpam-540	121	23	z	z	NOUN
ejpam-540	121	24	)	)	PUNCT
ejpam-540	121	25	is	be	AUX
ejpam-540	121	26	the	the	DET
ejpam-540	121	27	best	good	ADJ
ejpam-540	121	28	subordinant	subordinant	NOUN
ejpam-540	121	29	.	.	PUNCT
ejpam-540	122	1	taking	take	VERB
ejpam-540	122	2	ϑ	ϑ	X
ejpam-540	122	3	(	(	PUNCT
ejpam-540	122	4	w	w	NOUN
ejpam-540	122	5	)	)	PUNCT
ejpam-540	122	6	=	=	SYM
ejpam-540	122	7	αw	αw	PROPN
ejpam-540	122	8	and	and	CCONJ
ejpam-540	122	9	φ	φ	PROPN
ejpam-540	122	10	(	(	PUNCT
ejpam-540	122	11	w	w	NOUN
ejpam-540	122	12	)	)	PUNCT
ejpam-540	122	13	=	=	SYM
ejpam-540	122	14	γ	γ	PROPN
ejpam-540	122	15	in	in	ADP
ejpam-540	122	16	lemma	lemma	PROPN
ejpam-540	122	17	3	3	NUM
ejpam-540	122	18	,	,	PUNCT
ejpam-540	122	19	shanmugam	shanmugam	PROPN
ejpam-540	122	20	et	et	PROPN
ejpam-540	122	21	al	al	PROPN
ejpam-540	122	22	.	.	PUNCT
ejpam-540	123	1	[	[	X
ejpam-540	123	2	24	24	NUM
ejpam-540	123	3	]	]	PUNCT
ejpam-540	123	4	obtained	obtain	VERB
ejpam-540	123	5	the	the	DET
ejpam-540	123	6	following	follow	VERB
ejpam-540	123	7	lemma	lemma	PROPN
ejpam-540	123	8	.	.	PUNCT
ejpam-540	124	1	lemma	lemma	PROPN
ejpam-540	124	2	4	4	NUM
ejpam-540	124	3	.	.	PUNCT
ejpam-540	125	1	[	[	X
ejpam-540	125	2	24	24	NUM
ejpam-540	125	3	]	]	PUNCT
ejpam-540	125	4	let	let	VERB
ejpam-540	125	5	q	q	NOUN
ejpam-540	125	6	(	(	PUNCT
ejpam-540	125	7	z	z	NOUN
ejpam-540	125	8	)	)	PUNCT
ejpam-540	125	9	be	be	AUX
ejpam-540	125	10	convex	convex	ADJ
ejpam-540	125	11	univalent	univalent	ADJ
ejpam-540	125	12	in	in	ADP
ejpam-540	125	13	u	u	PROPN
ejpam-540	125	14	,	,	PUNCT
ejpam-540	125	15	q(0	q(0	PROPN
ejpam-540	125	16	)	)	PUNCT
ejpam-540	125	17	=	=	SYM
ejpam-540	126	1	1	1	X
ejpam-540	126	2	.	.	PUNCT
ejpam-540	126	3	let	let	VERB
ejpam-540	126	4	α	α	PRON
ejpam-540	126	5	∈	∈	PROPN
ejpam-540	126	6	c	c	X
ejpam-540	126	7	;	;	PUNCT
ejpam-540	126	8	γ	γ	PROPN
ejpam-540	126	9	∈	∈	PROPN
ejpam-540	126	10	c∗	c∗	PROPN
ejpam-540	126	11	and	and	CCONJ
ejpam-540	126	12	ℜ	ℜ	ADJ
ejpam-540	126	13	�	�	PROPN
ejpam-540	126	14	α	α	PROPN
ejpam-540	126	15	γ	γ	PROPN
ejpam-540	126	16	�	�	PROPN
ejpam-540	126	17	>	>	X
ejpam-540	126	18	0	0	PROPN
ejpam-540	126	19	.	.	PUNCT
ejpam-540	127	1	if	if	SCONJ
ejpam-540	127	2	p(z	p(z	NOUN
ejpam-540	127	3	)	)	PUNCT
ejpam-540	127	4	∈	∈	PROPN
ejpam-540	127	5	h[q(0	h[q(0	PROPN
ejpam-540	127	6	)	)	PUNCT
ejpam-540	127	7	,	,	PUNCT
ejpam-540	127	8	1]∩q	1]∩q	NUM
ejpam-540	127	9	,	,	PUNCT
ejpam-540	127	10	αp	αp	INTJ
ejpam-540	127	11	(	(	PUNCT
ejpam-540	127	12	z	z	NOUN
ejpam-540	127	13	)	)	PUNCT
ejpam-540	128	1	+	+	CCONJ
ejpam-540	128	2	γzp	γzp	ADV
ejpam-540	128	3	′	′	NUM
ejpam-540	129	1	(	(	PUNCT
ejpam-540	129	2	z	z	NOUN
ejpam-540	129	3	)	)	PUNCT
ejpam-540	129	4	is	be	AUX
ejpam-540	129	5	univalent	univalent	ADJ
ejpam-540	129	6	in	in	ADP
ejpam-540	129	7	u	u	NOUN
ejpam-540	129	8	and	and	CCONJ
ejpam-540	129	9	αq	αq	ADP
ejpam-540	129	10	(	(	PUNCT
ejpam-540	129	11	z	z	NOUN
ejpam-540	129	12	)	)	PUNCT
ejpam-540	130	1	+	+	NUM
ejpam-540	130	2	γzq	γzq	X
ejpam-540	130	3	′	′	NUM
ejpam-540	131	1	(	(	PUNCT
ejpam-540	131	2	z)≺	z)≺	PROPN
ejpam-540	131	3	αp	αp	PROPN
ejpam-540	131	4	(	(	PUNCT
ejpam-540	131	5	z	z	NOUN
ejpam-540	131	6	)	)	PUNCT
ejpam-540	132	1	+	+	CCONJ
ejpam-540	132	2	γzp	γzp	ADV
ejpam-540	132	3	′	′	NUM
ejpam-540	133	1	(	(	PUNCT
ejpam-540	133	2	z	z	NOUN
ejpam-540	133	3	)	)	PUNCT
ejpam-540	133	4	,	,	PUNCT
ejpam-540	133	5	then	then	ADV
ejpam-540	133	6	q	q	X
ejpam-540	133	7	(	(	PUNCT
ejpam-540	133	8	z	z	NOUN
ejpam-540	133	9	)	)	PUNCT
ejpam-540	133	10	≺	≺	NOUN
ejpam-540	133	11	p	p	X
ejpam-540	133	12	(	(	PUNCT
ejpam-540	133	13	z	z	NOUN
ejpam-540	133	14	)	)	PUNCT
ejpam-540	133	15	and	and	CCONJ
ejpam-540	133	16	q	q	PROPN
ejpam-540	133	17	(	(	PUNCT
ejpam-540	133	18	z	z	NOUN
ejpam-540	133	19	)	)	PUNCT
ejpam-540	133	20	is	be	AUX
ejpam-540	133	21	the	the	DET
ejpam-540	133	22	best	good	ADJ
ejpam-540	133	23	subordinant	subordinant	NOUN
ejpam-540	133	24	.	.	PUNCT
ejpam-540	134	1	3	3	X
ejpam-540	134	2	.	.	X
ejpam-540	134	3	sandwich	sandwich	NOUN
ejpam-540	134	4	results	result	NOUN
ejpam-540	134	5	unless	unless	SCONJ
ejpam-540	134	6	otherwise	otherwise	ADV
ejpam-540	134	7	mentioned	mention	VERB
ejpam-540	134	8	,	,	PUNCT
ejpam-540	134	9	we	we	PRON
ejpam-540	134	10	assume	assume	VERB
ejpam-540	134	11	throughout	throughout	ADP
ejpam-540	134	12	this	this	DET
ejpam-540	134	13	paper	paper	NOUN
ejpam-540	134	14	that	that	PRON
ejpam-540	134	15	λ	λ	VERB
ejpam-540	134	16	>	>	X
ejpam-540	134	17	0	0	PUNCT
ejpam-540	134	18	and	and	CCONJ
ejpam-540	134	19	n	n	DET
ejpam-540	134	20	∈	∈	PROPN
ejpam-540	134	21	n0	n0	PROPN
ejpam-540	134	22	.	.	PUNCT
ejpam-540	134	23	theorem	theorem	NOUN
ejpam-540	134	24	1	1	NUM
ejpam-540	134	25	.	.	PUNCT
ejpam-540	135	1	let	let	VERB
ejpam-540	135	2	q	q	NOUN
ejpam-540	135	3	(	(	PUNCT
ejpam-540	135	4	z	z	NOUN
ejpam-540	135	5	)	)	PUNCT
ejpam-540	135	6	be	be	AUX
ejpam-540	135	7	univalent	univalent	ADJ
ejpam-540	135	8	in	in	ADP
ejpam-540	135	9	u	u	NOUN
ejpam-540	135	10	with	with	ADP
ejpam-540	135	11	q(0	q(0	PROPN
ejpam-540	135	12	)	)	PUNCT
ejpam-540	135	13	=	=	SYM
ejpam-540	135	14	1	1	NUM
ejpam-540	135	15	,	,	PUNCT
ejpam-540	135	16	and	and	CCONJ
ejpam-540	135	17	γ	γ	PROPN
ejpam-540	135	18	∈	∈	PROPN
ejpam-540	135	19	c∗.	c∗.	NOUN
ejpam-540	135	20	further	far	ADV
ejpam-540	135	21	,	,	PUNCT
ejpam-540	135	22	assume	assume	VERB
ejpam-540	135	23	that	that	SCONJ
ejpam-540	135	24	ℜ	ℜ	PROPN
ejpam-540	135	25	(	(	PUNCT
ejpam-540	135	26	1	1	NUM
ejpam-540	135	27	+	+	NUM
ejpam-540	135	28	zq	zq	PROPN
ejpam-540	135	29	′′	′′	PROPN
ejpam-540	135	30	(	(	PUNCT
ejpam-540	135	31	z	z	NOUN
ejpam-540	135	32	)	)	PUNCT
ejpam-540	135	33	q	q	NOUN
ejpam-540	136	1	′	′	NUM
ejpam-540	136	2	(	(	PUNCT
ejpam-540	136	3	z	z	NOUN
ejpam-540	136	4	)	)	PUNCT
ejpam-540	136	5	)	)	PUNCT
ejpam-540	137	1	>	>	PUNCT
ejpam-540	137	2	max	max	PROPN
ejpam-540	137	3	�	�	PROPN
ejpam-540	137	4	0,−ℜ	0,−ℜ	NUM
ejpam-540	137	5	�	�	PROPN
ejpam-540	137	6	1	1	NUM
ejpam-540	137	7	γ	γ	PROPN
ejpam-540	137	8	�	�	PROPN
ejpam-540	137	9	�	�	PROPN
ejpam-540	137	10	.	.	PUNCT
ejpam-540	138	1	(	(	PUNCT
ejpam-540	138	2	15	15	NUM
ejpam-540	138	3	)	)	PUNCT
ejpam-540	138	4	if	if	SCONJ
ejpam-540	138	5	f	f	PROPN
ejpam-540	138	6	,	,	PUNCT
ejpam-540	138	7	g	g	PROPN
ejpam-540	138	8	∈a	∈a	ADJ
ejpam-540	138	9	satisfy	satisfy	VERB
ejpam-540	138	10	the	the	DET
ejpam-540	138	11	following	follow	VERB
ejpam-540	138	12	subordination	subordination	NOUN
ejpam-540	138	13	condition	condition	NOUN
ejpam-540	138	14	:	:	PUNCT
ejpam-540	138	15	�	�	PROPN
ejpam-540	138	16	1	1	NUM
ejpam-540	138	17	+	+	NUM
ejpam-540	138	18	γ	γ	PROPN
ejpam-540	138	19	λ	λ	X
ejpam-540	138	20	�	�	PROPN
ejpam-540	138	21	zdn+1	zdn+1	PROPN
ejpam-540	138	22	λ	λ	PROPN
ejpam-540	138	23	(	(	PUNCT
ejpam-540	138	24	f	f	PROPN
ejpam-540	138	25	∗	∗	PROPN
ejpam-540	138	26	g)(z	g)(z	PUNCT
ejpam-540	138	27	)	)	PUNCT
ejpam-540	138	28	�	�	PROPN
ejpam-540	138	29	dn	dn	PROPN
ejpam-540	138	30	λ	λ	PROPN
ejpam-540	138	31	(	(	PUNCT
ejpam-540	138	32	f	f	PROPN
ejpam-540	138	33	∗	∗	PROPN
ejpam-540	138	34	g)(z	g)(z	PUNCT
ejpam-540	138	35	)	)	PUNCT
ejpam-540	138	36	�	�	NOUN
ejpam-540	138	37	2	2	NUM
ejpam-540	138	38	+	+	CCONJ
ejpam-540	138	39	γ	γ	X
ejpam-540	138	40	λ	λ	X
ejpam-540	138	41			NOUN
ejpam-540	138	42			ADP
ejpam-540	138	43			ADJ
ejpam-540	138	44	zdn+2	zdn+2	PROPN
ejpam-540	138	45	λ	λ	PROPN
ejpam-540	138	46	(	(	PUNCT
ejpam-540	138	47	f	f	PROPN
ejpam-540	138	48	∗	∗	PROPN
ejpam-540	138	49	g)(z	g)(z	PUNCT
ejpam-540	138	50	)	)	PUNCT
ejpam-540	138	51	�	�	PROPN
ejpam-540	138	52	dn	dn	PROPN
ejpam-540	138	53	λ	λ	PROPN
ejpam-540	138	54	(	(	PUNCT
ejpam-540	138	55	f	f	PROPN
ejpam-540	138	56	∗	∗	PROPN
ejpam-540	138	57	g)(z	g)(z	PUNCT
ejpam-540	138	58	)	)	PUNCT
ejpam-540	138	59	�	�	PROPN
ejpam-540	138	60	2	2	NUM
ejpam-540	138	61	−	−	NOUN
ejpam-540	138	62	2	2	NUM
ejpam-540	138	63	z	z	NOUN
ejpam-540	138	64	�	�	PROPN
ejpam-540	138	65	dn+1	dn+1	ADP
ejpam-540	138	66	λ	λ	PROPN
ejpam-540	138	67	(	(	PUNCT
ejpam-540	138	68	f	f	PROPN
ejpam-540	138	69	∗	∗	PROPN
ejpam-540	138	70	g)(z	g)(z	PUNCT
ejpam-540	138	71	)	)	PUNCT
ejpam-540	138	72	�	�	PROPN
ejpam-540	138	73	2	2	NUM
ejpam-540	138	74	�	�	PROPN
ejpam-540	138	75	dn	dn	PROPN
ejpam-540	138	76	λ	λ	PROPN
ejpam-540	138	77	(	(	PUNCT
ejpam-540	138	78	f	f	PROPN
ejpam-540	138	79	∗	∗	PROPN
ejpam-540	138	80	g)(z	g)(z	PUNCT
ejpam-540	138	81	)	)	PUNCT
ejpam-540	138	82	�	�	PROPN
ejpam-540	138	83	3	3	NUM
ejpam-540	138	84			PROPN
ejpam-540	138	85			PROPN
ejpam-540	138	86			NOUN
ejpam-540	138	87	≺	≺	NOUN
ejpam-540	138	88	q	q	NOUN
ejpam-540	138	89	(	(	PUNCT
ejpam-540	138	90	z	z	NOUN
ejpam-540	138	91	)	)	PUNCT
ejpam-540	139	1	+	+	NUM
ejpam-540	139	2	γzq	γzq	X
ejpam-540	139	3	′	′	NUM
ejpam-540	139	4	(	(	PUNCT
ejpam-540	139	5	z	z	NOUN
ejpam-540	139	6	)	)	PUNCT
ejpam-540	139	7	,	,	PUNCT
ejpam-540	139	8	(	(	PUNCT
ejpam-540	139	9	16	16	NUM
ejpam-540	139	10	)	)	PUNCT
ejpam-540	139	11	then	then	ADV
ejpam-540	139	12	zdn+1	zdn+1	VERB
ejpam-540	139	13	λ	λ	PROPN
ejpam-540	139	14	(	(	PUNCT
ejpam-540	139	15	f	f	PROPN
ejpam-540	139	16	∗	∗	PROPN
ejpam-540	139	17	g)(z	g)(z	PUNCT
ejpam-540	139	18	)	)	PUNCT
ejpam-540	139	19	�	�	PROPN
ejpam-540	139	20	dn	dn	PROPN
ejpam-540	139	21	λ	λ	PROPN
ejpam-540	139	22	(	(	PUNCT
ejpam-540	139	23	f	f	PROPN
ejpam-540	139	24	∗	∗	PROPN
ejpam-540	139	25	g)(z	g)(z	PUNCT
ejpam-540	139	26	)	)	PUNCT
ejpam-540	139	27	�	�	PROPN
ejpam-540	139	28	2	2	NUM
ejpam-540	139	29	≺	≺	NOUN
ejpam-540	139	30	q	q	NOUN
ejpam-540	139	31	(	(	PUNCT
ejpam-540	139	32	z	z	NOUN
ejpam-540	139	33	)	)	PUNCT
ejpam-540	139	34	and	and	CCONJ
ejpam-540	139	35	q	q	PROPN
ejpam-540	139	36	(	(	PUNCT
ejpam-540	139	37	z	z	NOUN
ejpam-540	139	38	)	)	PUNCT
ejpam-540	139	39	is	be	AUX
ejpam-540	139	40	the	the	DET
ejpam-540	139	41	best	good	ADJ
ejpam-540	139	42	dominant	dominant	ADJ
ejpam-540	139	43	.	.	PUNCT
ejpam-540	139	44	m.	m.	PROPN
ejpam-540	139	45	aouf	aouf	PROPN
ejpam-540	139	46	,	,	PUNCT
ejpam-540	139	47	t.	t.	PROPN
ejpam-540	139	48	seoudy	seoudy	PROPN
ejpam-540	139	49	/	/	SYM
ejpam-540	139	50	eur	eur	PROPN
ejpam-540	139	51	.	.	PUNCT
ejpam-540	140	1	j.	j.	PROPN
ejpam-540	140	2	pure	pure	PROPN
ejpam-540	140	3	appl	appl	PROPN
ejpam-540	140	4	.	.	PROPN
ejpam-540	140	5	math	math	PROPN
ejpam-540	140	6	,	,	PUNCT
ejpam-540	140	7	4	4	NUM
ejpam-540	140	8	(	(	PUNCT
ejpam-540	140	9	2011	2011	NUM
ejpam-540	140	10	)	)	PUNCT
ejpam-540	140	11	,	,	PUNCT
ejpam-540	140	12	1	1	NUM
ejpam-540	140	13	-	-	SYM
ejpam-540	140	14	13	13	NUM
ejpam-540	140	15	6	6	NUM
ejpam-540	140	16	proof	proof	NOUN
ejpam-540	140	17	.	.	PUNCT
ejpam-540	141	1	define	define	VERB
ejpam-540	141	2	a	a	DET
ejpam-540	141	3	function	function	NOUN
ejpam-540	141	4	p	p	NOUN
ejpam-540	141	5	(	(	PUNCT
ejpam-540	141	6	z	z	NOUN
ejpam-540	141	7	)	)	PUNCT
ejpam-540	141	8	by	by	ADP
ejpam-540	141	9	p	p	PROPN
ejpam-540	141	10	(	(	PUNCT
ejpam-540	141	11	z	z	NOUN
ejpam-540	141	12	)	)	PUNCT
ejpam-540	141	13	=	=	SYM
ejpam-540	141	14	zdn+1	zdn+1	PROPN
ejpam-540	141	15	λ	λ	X
ejpam-540	141	16	(	(	PUNCT
ejpam-540	141	17	f	f	PROPN
ejpam-540	141	18	∗	∗	PROPN
ejpam-540	141	19	g)(z	g)(z	PUNCT
ejpam-540	141	20	)	)	PUNCT
ejpam-540	141	21	�	�	PROPN
ejpam-540	141	22	dn	dn	PROPN
ejpam-540	141	23	λ	λ	PROPN
ejpam-540	141	24	(	(	PUNCT
ejpam-540	141	25	f	f	PROPN
ejpam-540	141	26	∗	∗	PROPN
ejpam-540	141	27	g)(z	g)(z	PUNCT
ejpam-540	141	28	)	)	PUNCT
ejpam-540	141	29	�	�	PROPN
ejpam-540	141	30	2	2	NUM
ejpam-540	141	31	(	(	PUNCT
ejpam-540	141	32	z	z	NOUN
ejpam-540	141	33	∈	∈	PROPN
ejpam-540	141	34	u	u	NOUN
ejpam-540	141	35	)	)	PUNCT
ejpam-540	141	36	.	.	PUNCT
ejpam-540	142	1	(	(	PUNCT
ejpam-540	142	2	17	17	NUM
ejpam-540	142	3	)	)	PUNCT
ejpam-540	142	4	then	then	ADV
ejpam-540	142	5	the	the	DET
ejpam-540	142	6	function	function	NOUN
ejpam-540	142	7	p	p	X
ejpam-540	142	8	(	(	PUNCT
ejpam-540	142	9	z	z	NOUN
ejpam-540	142	10	)	)	PUNCT
ejpam-540	142	11	is	be	AUX
ejpam-540	142	12	analytic	analytic	ADJ
ejpam-540	142	13	in	in	ADP
ejpam-540	142	14	u	u	NOUN
ejpam-540	142	15	and	and	CCONJ
ejpam-540	142	16	p(0	p(0	PROPN
ejpam-540	142	17	)	)	PUNCT
ejpam-540	142	18	=	=	SYM
ejpam-540	143	1	1	1	X
ejpam-540	143	2	.	.	PUNCT
ejpam-540	143	3	therefore	therefore	ADV
ejpam-540	143	4	,	,	PUNCT
ejpam-540	143	5	differentiating	differentiate	VERB
ejpam-540	143	6	(	(	PUNCT
ejpam-540	143	7	17	17	NUM
ejpam-540	143	8	)	)	PUNCT
ejpam-540	143	9	logarithmically	logarithmically	ADV
ejpam-540	143	10	with	with	ADP
ejpam-540	143	11	respect	respect	NOUN
ejpam-540	143	12	to	to	ADP
ejpam-540	143	13	z	z	NOUN
ejpam-540	143	14	and	and	CCONJ
ejpam-540	143	15	using	use	VERB
ejpam-540	143	16	the	the	DET
ejpam-540	143	17	identity	identity	NOUN
ejpam-540	143	18	(	(	PUNCT
ejpam-540	143	19	8)	8)	NUM
ejpam-540	143	20	in	in	ADP
ejpam-540	143	21	the	the	DET
ejpam-540	143	22	resulting	result	VERB
ejpam-540	143	23	equation	equation	NOUN
ejpam-540	143	24	,	,	PUNCT
ejpam-540	143	25	we	we	PRON
ejpam-540	143	26	have	have	VERB
ejpam-540	143	27	�	�	PROPN
ejpam-540	143	28	1	1	NUM
ejpam-540	143	29	+	+	NUM
ejpam-540	143	30	γ	γ	PROPN
ejpam-540	143	31	λ	λ	X
ejpam-540	143	32	�	�	PROPN
ejpam-540	143	33	zdn+1	zdn+1	PROPN
ejpam-540	143	34	λ	λ	PROPN
ejpam-540	143	35	(	(	PUNCT
ejpam-540	143	36	f	f	PROPN
ejpam-540	143	37	∗	∗	PROPN
ejpam-540	143	38	g)(z	g)(z	PUNCT
ejpam-540	143	39	)	)	PUNCT
ejpam-540	143	40	�	�	PROPN
ejpam-540	143	41	dn	dn	PROPN
ejpam-540	143	42	λ	λ	PROPN
ejpam-540	143	43	(	(	PUNCT
ejpam-540	143	44	f	f	PROPN
ejpam-540	143	45	∗	∗	PROPN
ejpam-540	143	46	g)(z	g)(z	PUNCT
ejpam-540	143	47	)	)	PUNCT
ejpam-540	143	48	�	�	NOUN
ejpam-540	143	49	2	2	NUM
ejpam-540	143	50	+	+	CCONJ
ejpam-540	143	51	γ	γ	X
ejpam-540	143	52	λ	λ	X
ejpam-540	143	53			NOUN
ejpam-540	143	54			ADP
ejpam-540	143	55			ADJ
ejpam-540	143	56	zdn+2	zdn+2	PROPN
ejpam-540	143	57	λ	λ	PROPN
ejpam-540	143	58	(	(	PUNCT
ejpam-540	143	59	f	f	PROPN
ejpam-540	143	60	∗	∗	PROPN
ejpam-540	143	61	g)(z	g)(z	PUNCT
ejpam-540	143	62	)	)	PUNCT
ejpam-540	143	63	�	�	PROPN
ejpam-540	143	64	dn	dn	PROPN
ejpam-540	143	65	λ	λ	PROPN
ejpam-540	143	66	(	(	PUNCT
ejpam-540	143	67	f	f	PROPN
ejpam-540	143	68	∗	∗	PROPN
ejpam-540	143	69	g)(z	g)(z	PUNCT
ejpam-540	143	70	)	)	PUNCT
ejpam-540	143	71	�	�	PROPN
ejpam-540	143	72	2	2	NUM
ejpam-540	143	73	−	−	NOUN
ejpam-540	143	74	2	2	NUM
ejpam-540	143	75	z	z	NOUN
ejpam-540	143	76	�	�	PROPN
ejpam-540	143	77	dn+1	dn+1	ADP
ejpam-540	143	78	λ	λ	PROPN
ejpam-540	143	79	(	(	PUNCT
ejpam-540	143	80	f	f	PROPN
ejpam-540	143	81	∗	∗	PROPN
ejpam-540	143	82	g)(z	g)(z	PUNCT
ejpam-540	143	83	)	)	PUNCT
ejpam-540	143	84	�	�	PROPN
ejpam-540	143	85	2	2	NUM
ejpam-540	143	86	�	�	PROPN
ejpam-540	143	87	dn	dn	PROPN
ejpam-540	143	88	λ	λ	PROPN
ejpam-540	143	89	(	(	PUNCT
ejpam-540	143	90	f	f	PROPN
ejpam-540	143	91	∗	∗	PROPN
ejpam-540	143	92	g)(z	g)(z	PUNCT
ejpam-540	143	93	)	)	PUNCT
ejpam-540	143	94	�	�	PROPN
ejpam-540	143	95	3	3	NUM
ejpam-540	143	96			PROPN
ejpam-540	143	97			PROPN
ejpam-540	143	98			NOUN
ejpam-540	143	99	=	=	SYM
ejpam-540	143	100	p	p	X
ejpam-540	143	101	(	(	PUNCT
ejpam-540	143	102	z)+γzp	z)+γzp	NOUN
ejpam-540	143	103	′	′	NUM
ejpam-540	143	104	(	(	PUNCT
ejpam-540	143	105	z	z	NOUN
ejpam-540	143	106	)	)	PUNCT
ejpam-540	143	107	,	,	PUNCT
ejpam-540	143	108	that	that	ADV
ejpam-540	143	109	is	is	ADV
ejpam-540	143	110	,	,	PUNCT
ejpam-540	143	111	p	p	X
ejpam-540	143	112	(	(	PUNCT
ejpam-540	143	113	z	z	NOUN
ejpam-540	143	114	)	)	PUNCT
ejpam-540	144	1	+	+	CCONJ
ejpam-540	144	2	γzp	γzp	ADV
ejpam-540	144	3	′	′	NUM
ejpam-540	144	4	(	(	PUNCT
ejpam-540	144	5	z	z	NOUN
ejpam-540	144	6	)	)	PUNCT
ejpam-540	144	7	≺	≺	NOUN
ejpam-540	144	8	q	q	NOUN
ejpam-540	144	9	(	(	PUNCT
ejpam-540	144	10	z	z	NOUN
ejpam-540	144	11	)	)	PUNCT
ejpam-540	145	1	+	+	NUM
ejpam-540	145	2	γzq	γzq	X
ejpam-540	145	3	′	′	NUM
ejpam-540	145	4	(	(	PUNCT
ejpam-540	145	5	z	z	NOUN
ejpam-540	145	6	)	)	PUNCT
ejpam-540	145	7	.	.	PUNCT
ejpam-540	146	1	therefore	therefore	ADV
ejpam-540	146	2	,	,	PUNCT
ejpam-540	146	3	theorem	theorem	VERB
ejpam-540	146	4	1	1	NUM
ejpam-540	146	5	now	now	ADV
ejpam-540	146	6	follows	follow	VERB
ejpam-540	146	7	by	by	ADP
ejpam-540	146	8	applying	apply	VERB
ejpam-540	146	9	lemma	lemma	PROPN
ejpam-540	146	10	2	2	NUM
ejpam-540	146	11	.	.	PUNCT
ejpam-540	146	12	putting	put	VERB
ejpam-540	146	13	q(z	q(z	PROPN
ejpam-540	146	14	)	)	PUNCT
ejpam-540	146	15	=	=	SYM
ejpam-540	147	1	1	1	NUM
ejpam-540	147	2	+	+	NUM
ejpam-540	147	3	az	az	PROPN
ejpam-540	147	4	1	1	NUM
ejpam-540	147	5	+	+	CCONJ
ejpam-540	147	6	bz	bz	PROPN
ejpam-540	147	7	(	(	PUNCT
ejpam-540	147	8	−1≤	−1≤	PROPN
ejpam-540	147	9	b	b	PROPN
ejpam-540	147	10	<	<	X
ejpam-540	147	11	a≤	a≤	ADP
ejpam-540	147	12	1	1	NUM
ejpam-540	147	13	)	)	PUNCT
ejpam-540	147	14	in	in	ADP
ejpam-540	147	15	theorem	theorem	NOUN
ejpam-540	147	16	1	1	NUM
ejpam-540	147	17	,	,	PUNCT
ejpam-540	147	18	we	we	PRON
ejpam-540	147	19	obtain	obtain	VERB
ejpam-540	147	20	the	the	DET
ejpam-540	147	21	following	follow	VERB
ejpam-540	147	22	corollary	corollary	NOUN
ejpam-540	147	23	.	.	PUNCT
ejpam-540	148	1	corollary	corollary	ADJ
ejpam-540	148	2	1	1	NUM
ejpam-540	148	3	.	.	PUNCT
ejpam-540	149	1	let	let	VERB
ejpam-540	149	2	γ	γ	PROPN
ejpam-540	149	3	∈	∈	PROPN
ejpam-540	149	4	c∗	c∗	PROPN
ejpam-540	149	5	and	and	CCONJ
ejpam-540	149	6	ℜ	ℜ	ADJ
ejpam-540	149	7	�	�	PROPN
ejpam-540	149	8	1−	1−	NUM
ejpam-540	149	9	bz	bz	PROPN
ejpam-540	149	10	1	1	NUM
ejpam-540	149	11	+	+	CCONJ
ejpam-540	149	12	bz	bz	PROPN
ejpam-540	149	13	�	�	PROPN
ejpam-540	149	14	>	>	SYM
ejpam-540	149	15	max	max	PROPN
ejpam-540	149	16	�	�	PROPN
ejpam-540	149	17	0,−ℜ	0,−ℜ	NUM
ejpam-540	149	18	�	�	PROPN
ejpam-540	149	19	1	1	NUM
ejpam-540	149	20	γ	γ	PROPN
ejpam-540	149	21	�	�	PROPN
ejpam-540	149	22	�	�	PROPN
ejpam-540	149	23	.	.	PUNCT
ejpam-540	150	1	if	if	SCONJ
ejpam-540	150	2	f	f	PROPN
ejpam-540	150	3	,	,	PUNCT
ejpam-540	150	4	g	g	PROPN
ejpam-540	150	5	∈a	∈a	ADJ
ejpam-540	150	6	satisfy	satisfy	VERB
ejpam-540	150	7	the	the	DET
ejpam-540	150	8	following	follow	VERB
ejpam-540	150	9	subordination	subordination	NOUN
ejpam-540	150	10	condition	condition	NOUN
ejpam-540	150	11	:	:	PUNCT
ejpam-540	150	12	�	�	PROPN
ejpam-540	150	13	1	1	NUM
ejpam-540	150	14	+	+	NUM
ejpam-540	150	15	γ	γ	PROPN
ejpam-540	150	16	λ	λ	X
ejpam-540	150	17	�	�	PROPN
ejpam-540	150	18	zdn+1	zdn+1	PROPN
ejpam-540	150	19	λ	λ	PROPN
ejpam-540	150	20	(	(	PUNCT
ejpam-540	150	21	f	f	PROPN
ejpam-540	150	22	∗	∗	PROPN
ejpam-540	150	23	g)(z	g)(z	PUNCT
ejpam-540	150	24	)	)	PUNCT
ejpam-540	150	25	�	�	PROPN
ejpam-540	150	26	dn	dn	PROPN
ejpam-540	150	27	λ	λ	PROPN
ejpam-540	150	28	(	(	PUNCT
ejpam-540	150	29	f	f	PROPN
ejpam-540	150	30	∗	∗	PROPN
ejpam-540	150	31	g)(z	g)(z	PUNCT
ejpam-540	150	32	)	)	PUNCT
ejpam-540	150	33	�	�	NOUN
ejpam-540	150	34	2	2	NUM
ejpam-540	150	35	+	+	CCONJ
ejpam-540	150	36	γ	γ	X
ejpam-540	150	37	λ	λ	X
ejpam-540	150	38			NOUN
ejpam-540	150	39			ADP
ejpam-540	150	40			ADJ
ejpam-540	150	41	zdn+2	zdn+2	PROPN
ejpam-540	150	42	λ	λ	PROPN
ejpam-540	150	43	(	(	PUNCT
ejpam-540	150	44	f	f	PROPN
ejpam-540	150	45	∗	∗	PROPN
ejpam-540	150	46	g)(z	g)(z	PUNCT
ejpam-540	150	47	)	)	PUNCT
ejpam-540	150	48	�	�	PROPN
ejpam-540	150	49	dn	dn	PROPN
ejpam-540	150	50	λ	λ	PROPN
ejpam-540	150	51	(	(	PUNCT
ejpam-540	150	52	f	f	PROPN
ejpam-540	150	53	∗	∗	PROPN
ejpam-540	150	54	g)(z	g)(z	PUNCT
ejpam-540	150	55	)	)	PUNCT
ejpam-540	150	56	�	�	PROPN
ejpam-540	150	57	2	2	NUM
ejpam-540	150	58	−	−	NOUN
ejpam-540	150	59	2	2	NUM
ejpam-540	150	60	z	z	NOUN
ejpam-540	150	61	�	�	PROPN
ejpam-540	150	62	dn+1	dn+1	ADP
ejpam-540	150	63	λ	λ	PROPN
ejpam-540	150	64	(	(	PUNCT
ejpam-540	150	65	f	f	PROPN
ejpam-540	150	66	∗	∗	PROPN
ejpam-540	150	67	g)(z	g)(z	PUNCT
ejpam-540	150	68	)	)	PUNCT
ejpam-540	150	69	�	�	PROPN
ejpam-540	150	70	2	2	NUM
ejpam-540	150	71	�	�	PROPN
ejpam-540	150	72	dn	dn	PROPN
ejpam-540	150	73	λ	λ	PROPN
ejpam-540	150	74	(	(	PUNCT
ejpam-540	150	75	f	f	PROPN
ejpam-540	150	76	∗	∗	PROPN
ejpam-540	150	77	g)(z	g)(z	PUNCT
ejpam-540	150	78	)	)	PUNCT
ejpam-540	150	79	�	�	PROPN
ejpam-540	150	80	3	3	NUM
ejpam-540	150	81			PROPN
ejpam-540	150	82			PROPN
ejpam-540	150	83			NOUN
ejpam-540	150	84	≺	≺	NOUN
ejpam-540	150	85	1+a	1+a	NUM
ejpam-540	150	86	z	z	NOUN
ejpam-540	150	87	1	1	NUM
ejpam-540	150	88	+	+	CCONJ
ejpam-540	150	89	bz	bz	PROPN
ejpam-540	151	1	+	+	CCONJ
ejpam-540	151	2	γ	γ	PROPN
ejpam-540	151	3	(	(	PUNCT
ejpam-540	151	4	a−	a−	PROPN
ejpam-540	151	5	b	b	NOUN
ejpam-540	151	6	)	)	PUNCT
ejpam-540	151	7	z	z	NOUN
ejpam-540	151	8	(	(	PUNCT
ejpam-540	151	9	1	1	NUM
ejpam-540	151	10	+	+	CCONJ
ejpam-540	151	11	bz)2	bz)2	NOUN
ejpam-540	151	12	,	,	PUNCT
ejpam-540	151	13	then	then	ADV
ejpam-540	151	14	zdn+1	zdn+1	VERB
ejpam-540	151	15	λ	λ	PROPN
ejpam-540	151	16	(	(	PUNCT
ejpam-540	151	17	f	f	PROPN
ejpam-540	151	18	∗	∗	PROPN
ejpam-540	151	19	g)(z	g)(z	PUNCT
ejpam-540	151	20	)	)	PUNCT
ejpam-540	151	21	�	�	PROPN
ejpam-540	151	22	dn	dn	PROPN
ejpam-540	151	23	λ	λ	PROPN
ejpam-540	151	24	(	(	PUNCT
ejpam-540	151	25	f	f	PROPN
ejpam-540	151	26	∗	∗	PROPN
ejpam-540	151	27	g)(z	g)(z	PUNCT
ejpam-540	151	28	)	)	PUNCT
ejpam-540	151	29	�	�	NOUN
ejpam-540	151	30	2	2	NUM
ejpam-540	151	31	≺	≺	NOUN
ejpam-540	151	32	1	1	NUM
ejpam-540	151	33	+	+	NUM
ejpam-540	151	34	az	az	PROPN
ejpam-540	151	35	1	1	NUM
ejpam-540	151	36	+	+	CCONJ
ejpam-540	151	37	bz	bz	PROPN
ejpam-540	151	38	and	and	CCONJ
ejpam-540	151	39	the	the	DET
ejpam-540	151	40	function	function	NOUN
ejpam-540	151	41	1	1	NUM
ejpam-540	151	42	+	+	NUM
ejpam-540	151	43	az	az	PROPN
ejpam-540	151	44	1	1	NUM
ejpam-540	151	45	+	+	CCONJ
ejpam-540	151	46	bz	bz	PROPN
ejpam-540	151	47	is	be	AUX
ejpam-540	151	48	the	the	DET
ejpam-540	151	49	best	good	ADJ
ejpam-540	151	50	dominant	dominant	ADJ
ejpam-540	151	51	.	.	PUNCT
ejpam-540	152	1	remark	remark	PROPN
ejpam-540	152	2	1	1	NUM
ejpam-540	152	3	.	.	PUNCT
ejpam-540	153	1	taking	take	VERB
ejpam-540	153	2	g(z	g(z	PROPN
ejpam-540	153	3	)	)	PUNCT
ejpam-540	154	1	=	=	SYM
ejpam-540	154	2	z	z	NOUN
ejpam-540	154	3	1−	1−	NUM
ejpam-540	154	4	z	z	NOUN
ejpam-540	154	5	in	in	ADP
ejpam-540	154	6	theorem	theorem	NOUN
ejpam-540	154	7	1	1	NUM
ejpam-540	154	8	,	,	PUNCT
ejpam-540	154	9	we	we	PRON
ejpam-540	154	10	obtain	obtain	VERB
ejpam-540	154	11	the	the	DET
ejpam-540	154	12	subordination	subordination	NOUN
ejpam-540	154	13	result	result	NOUN
ejpam-540	154	14	of	of	ADP
ejpam-540	154	15	nechita	nechita	NOUN
ejpam-540	155	1	[	[	X
ejpam-540	155	2	18	18	NUM
ejpam-540	155	3	,	,	PUNCT
ejpam-540	155	4	theorem	theorem	VERB
ejpam-540	155	5	14	14	NUM
ejpam-540	155	6	]	]	PUNCT
ejpam-540	155	7	.	.	PUNCT
ejpam-540	156	1	remark	remark	PROPN
ejpam-540	156	2	2	2	NUM
ejpam-540	156	3	.	.	PUNCT
ejpam-540	157	1	taking	take	VERB
ejpam-540	157	2	λ	λ	PROPN
ejpam-540	157	3	=	=	SYM
ejpam-540	157	4	1	1	NUM
ejpam-540	157	5	and	and	CCONJ
ejpam-540	157	6	g(z	g(z	ADJ
ejpam-540	157	7	)	)	PUNCT
ejpam-540	158	1	=	=	SYM
ejpam-540	158	2	z	z	NOUN
ejpam-540	159	1	1−	1−	NUM
ejpam-540	159	2	z	z	NOUN
ejpam-540	159	3	in	in	ADP
ejpam-540	159	4	theorem	theorem	NOUN
ejpam-540	159	5	1	1	NUM
ejpam-540	159	6	,	,	PUNCT
ejpam-540	159	7	we	we	PRON
ejpam-540	159	8	obtain	obtain	VERB
ejpam-540	159	9	the	the	DET
ejpam-540	159	10	subordination	subordination	NOUN
ejpam-540	159	11	result	result	VERB
ejpam-540	159	12	for	for	ADP
ejpam-540	159	13	sălăgean	sălăgean	ADJ
ejpam-540	159	14	operator	operator	NOUN
ejpam-540	159	15	which	which	PRON
ejpam-540	159	16	was	be	AUX
ejpam-540	159	17	obtained	obtain	VERB
ejpam-540	159	18	by	by	ADP
ejpam-540	159	19	shanmugam	shanmugam	PROPN
ejpam-540	159	20	et	et	PROPN
ejpam-540	159	21	al	al	PROPN
ejpam-540	159	22	.	.	PUNCT
ejpam-540	160	1	[	[	X
ejpam-540	160	2	24	24	NUM
ejpam-540	160	3	,	,	PUNCT
ejpam-540	160	4	theorem	theorem	VERB
ejpam-540	160	5	5.4	5.4	NUM
ejpam-540	160	6	]	]	PUNCT
ejpam-540	160	7	and	and	CCONJ
ejpam-540	160	8	also	also	ADV
ejpam-540	160	9	obtained	obtain	VERB
ejpam-540	160	10	by	by	ADP
ejpam-540	160	11	nechita	nechita	NOUN
ejpam-540	160	12	[	[	X
ejpam-540	160	13	18	18	NUM
ejpam-540	160	14	,	,	PUNCT
ejpam-540	160	15	corollary	corollary	ADJ
ejpam-540	160	16	16	16	NUM
ejpam-540	160	17	]	]	PUNCT
ejpam-540	160	18	.	.	PUNCT
ejpam-540	161	1	m.	m.	PROPN
ejpam-540	161	2	aouf	aouf	PROPN
ejpam-540	161	3	,	,	PUNCT
ejpam-540	161	4	t.	t.	PROPN
ejpam-540	161	5	seoudy	seoudy	PROPN
ejpam-540	161	6	/	/	SYM
ejpam-540	161	7	eur	eur	PROPN
ejpam-540	161	8	.	.	PUNCT
ejpam-540	162	1	j.	j.	PROPN
ejpam-540	162	2	pure	pure	PROPN
ejpam-540	162	3	appl	appl	PROPN
ejpam-540	162	4	.	.	PROPN
ejpam-540	162	5	math	math	PROPN
ejpam-540	162	6	,	,	PUNCT
ejpam-540	162	7	4	4	NUM
ejpam-540	162	8	(	(	PUNCT
ejpam-540	162	9	2011	2011	NUM
ejpam-540	162	10	)	)	PUNCT
ejpam-540	162	11	,	,	PUNCT
ejpam-540	162	12	1	1	NUM
ejpam-540	162	13	-	-	SYM
ejpam-540	162	14	13	13	NUM
ejpam-540	162	15	7	7	NUM
ejpam-540	162	16	taking	take	VERB
ejpam-540	162	17	n	n	NOUN
ejpam-540	162	18	=	=	SYM
ejpam-540	162	19	0,λ	0,λ	NOUN
ejpam-540	163	1	=	=	SYM
ejpam-540	163	2	1	1	NUM
ejpam-540	163	3	and	and	CCONJ
ejpam-540	163	4	g	g	PROPN
ejpam-540	163	5	(	(	PUNCT
ejpam-540	163	6	z	z	NOUN
ejpam-540	163	7	)	)	PUNCT
ejpam-540	163	8	of	of	ADP
ejpam-540	163	9	the	the	DET
ejpam-540	163	10	form	form	NOUN
ejpam-540	163	11	(	(	PUNCT
ejpam-540	163	12	9	9	NUM
ejpam-540	163	13	)	)	PUNCT
ejpam-540	163	14	in	in	ADP
ejpam-540	163	15	theorem	theorem	NOUN
ejpam-540	163	16	1	1	NUM
ejpam-540	163	17	,	,	PUNCT
ejpam-540	163	18	we	we	PRON
ejpam-540	163	19	obtain	obtain	VERB
ejpam-540	163	20	the	the	DET
ejpam-540	163	21	following	follow	VERB
ejpam-540	163	22	subordination	subordination	NOUN
ejpam-540	163	23	result	result	VERB
ejpam-540	163	24	for	for	ADP
ejpam-540	163	25	dziok	dziok	NOUN
ejpam-540	163	26	-	-	PUNCT
ejpam-540	163	27	srivastava	srivastava	PROPN
ejpam-540	163	28	operator	operator	NOUN
ejpam-540	163	29	.	.	PUNCT
ejpam-540	164	1	corollary	corollary	ADJ
ejpam-540	164	2	2	2	NUM
ejpam-540	164	3	.	.	PUNCT
ejpam-540	165	1	let	let	VERB
ejpam-540	165	2	q	q	NOUN
ejpam-540	165	3	(	(	PUNCT
ejpam-540	165	4	z	z	NOUN
ejpam-540	165	5	)	)	PUNCT
ejpam-540	165	6	be	be	AUX
ejpam-540	165	7	univalent	univalent	ADJ
ejpam-540	165	8	in	in	ADP
ejpam-540	165	9	u	u	NOUN
ejpam-540	165	10	with	with	ADP
ejpam-540	165	11	q(0	q(0	PROPN
ejpam-540	165	12	)	)	PUNCT
ejpam-540	165	13	=	=	SYM
ejpam-540	165	14	1	1	NUM
ejpam-540	165	15	,	,	PUNCT
ejpam-540	165	16	and	and	CCONJ
ejpam-540	165	17	γ	γ	PROPN
ejpam-540	165	18	∈	∈	PROPN
ejpam-540	165	19	c∗.	c∗.	NOUN
ejpam-540	165	20	further	far	ADV
ejpam-540	165	21	assume	assume	VERB
ejpam-540	165	22	that	that	SCONJ
ejpam-540	165	23	(	(	PUNCT
ejpam-540	165	24	15	15	NUM
ejpam-540	165	25	)	)	PUNCT
ejpam-540	165	26	holds	hold	VERB
ejpam-540	165	27	.	.	PUNCT
ejpam-540	166	1	if	if	SCONJ
ejpam-540	166	2	f	f	PROPN
ejpam-540	166	3	∈a	∈a	ADJ
ejpam-540	166	4	satisfies	satisfy	VERB
ejpam-540	166	5	the	the	DET
ejpam-540	166	6	following	follow	VERB
ejpam-540	166	7	subordination	subordination	NOUN
ejpam-540	166	8	condition	condition	NOUN
ejpam-540	166	9	:	:	PUNCT
ejpam-540	166	10	z2	z2	PROPN
ejpam-540	166	11	�	�	PROPN
ejpam-540	166	12	hl	hl	PROPN
ejpam-540	166	13	,	,	PUNCT
ejpam-540	166	14	m	m	PROPN
ejpam-540	166	15	�	�	PROPN
ejpam-540	166	16	a1	a1	NOUN
ejpam-540	166	17	;	;	PUNCT
ejpam-540	166	18	b1	b1	PROPN
ejpam-540	166	19	�	�	PROPN
ejpam-540	166	20	f	f	PROPN
ejpam-540	166	21	(	(	PUNCT
ejpam-540	166	22	z	z	NOUN
ejpam-540	166	23	)	)	PUNCT
ejpam-540	166	24	�	�	PROPN
ejpam-540	166	25	′	′	PROPN
ejpam-540	166	26	�	�	PROPN
ejpam-540	166	27	hl	hl	PROPN
ejpam-540	166	28	,	,	PUNCT
ejpam-540	166	29	m	m	PROPN
ejpam-540	166	30	�	�	PROPN
ejpam-540	166	31	a1	a1	NOUN
ejpam-540	166	32	;	;	PUNCT
ejpam-540	166	33	b1	b1	PROPN
ejpam-540	166	34	�	�	PROPN
ejpam-540	166	35	f	f	PROPN
ejpam-540	166	36	(	(	PUNCT
ejpam-540	166	37	z	z	NOUN
ejpam-540	166	38	)	)	PUNCT
ejpam-540	166	39	�	�	PROPN
ejpam-540	166	40	2	2	NUM
ejpam-540	166	41	−	−	NOUN
ejpam-540	166	42	γz2	γz2	PROPN
ejpam-540	166	43	z	z	PROPN
ejpam-540	166	44	�	�	PROPN
ejpam-540	166	45	hl	hl	PROPN
ejpam-540	166	46	,	,	PUNCT
ejpam-540	166	47	m	m	PROPN
ejpam-540	166	48	�	�	PROPN
ejpam-540	166	49	a1	a1	NOUN
ejpam-540	166	50	;	;	PUNCT
ejpam-540	166	51	b1	b1	PROPN
ejpam-540	166	52	�	�	PROPN
ejpam-540	166	53	f	f	PROPN
ejpam-540	166	54	(	(	PUNCT
ejpam-540	166	55	z	z	PROPN
ejpam-540	166	56	)	)	PUNCT
ejpam-540	166	57	�	�	PROPN
ejpam-540	166	58	!	!	PUNCT
ejpam-540	167	1	′′	′′	NOUN
ejpam-540	167	2	≺	≺	VERB
ejpam-540	167	3	q	q	PUNCT
ejpam-540	167	4	(	(	PUNCT
ejpam-540	167	5	z	z	NOUN
ejpam-540	167	6	)	)	PUNCT
ejpam-540	168	1	+	+	NUM
ejpam-540	168	2	γzq	γzq	X
ejpam-540	168	3	′	′	NUM
ejpam-540	168	4	(	(	PUNCT
ejpam-540	168	5	z	z	NOUN
ejpam-540	168	6	)	)	PUNCT
ejpam-540	168	7	,	,	PUNCT
ejpam-540	168	8	then	then	ADV
ejpam-540	168	9	z2	z2	PROPN
ejpam-540	168	10	�	�	PROPN
ejpam-540	168	11	hl	hl	PROPN
ejpam-540	168	12	,	,	PUNCT
ejpam-540	168	13	m	m	PROPN
ejpam-540	168	14	�	�	PROPN
ejpam-540	168	15	a1	a1	NOUN
ejpam-540	168	16	;	;	PUNCT
ejpam-540	168	17	b1	b1	PROPN
ejpam-540	168	18	�	�	PROPN
ejpam-540	168	19	f	f	PROPN
ejpam-540	168	20	(	(	PUNCT
ejpam-540	168	21	z	z	NOUN
ejpam-540	168	22	)	)	PUNCT
ejpam-540	168	23	�	�	PROPN
ejpam-540	168	24	′	′	PROPN
ejpam-540	168	25	�	�	PROPN
ejpam-540	168	26	hl	hl	PROPN
ejpam-540	168	27	,	,	PUNCT
ejpam-540	168	28	m	m	PROPN
ejpam-540	168	29	�	�	PROPN
ejpam-540	168	30	a1	a1	NOUN
ejpam-540	168	31	;	;	PUNCT
ejpam-540	168	32	b1	b1	PROPN
ejpam-540	168	33	�	�	PROPN
ejpam-540	168	34	f	f	PROPN
ejpam-540	168	35	(	(	PUNCT
ejpam-540	168	36	z	z	NOUN
ejpam-540	168	37	)	)	PUNCT
ejpam-540	168	38	�	�	PROPN
ejpam-540	168	39	2	2	NUM
ejpam-540	168	40	≺	≺	NOUN
ejpam-540	168	41	q	q	NOUN
ejpam-540	168	42	(	(	PUNCT
ejpam-540	168	43	z	z	NOUN
ejpam-540	168	44	)	)	PUNCT
ejpam-540	168	45	and	and	CCONJ
ejpam-540	168	46	q	q	PROPN
ejpam-540	168	47	(	(	PUNCT
ejpam-540	168	48	z	z	NOUN
ejpam-540	168	49	)	)	PUNCT
ejpam-540	168	50	is	be	AUX
ejpam-540	168	51	the	the	DET
ejpam-540	168	52	best	good	ADJ
ejpam-540	168	53	dominant	dominant	NOUN
ejpam-540	168	54	.	.	PUNCT
ejpam-540	169	1	taking	take	VERB
ejpam-540	169	2	g	g	PRON
ejpam-540	169	3	(	(	PUNCT
ejpam-540	169	4	z	z	NOUN
ejpam-540	169	5	)	)	PUNCT
ejpam-540	169	6	of	of	ADP
ejpam-540	169	7	the	the	DET
ejpam-540	169	8	form	form	NOUN
ejpam-540	169	9	(	(	PUNCT
ejpam-540	169	10	9	9	NUM
ejpam-540	169	11	)	)	PUNCT
ejpam-540	169	12	in	in	ADP
ejpam-540	169	13	theorem	theorem	NOUN
ejpam-540	169	14	1	1	NUM
ejpam-540	169	15	,	,	PUNCT
ejpam-540	169	16	we	we	PRON
ejpam-540	169	17	obtain	obtain	VERB
ejpam-540	169	18	the	the	DET
ejpam-540	169	19	following	follow	VERB
ejpam-540	169	20	subordination	subordination	NOUN
ejpam-540	169	21	result	result	VERB
ejpam-540	169	22	for	for	ADP
ejpam-540	169	23	the	the	DET
ejpam-540	169	24	operator	operator	NOUN
ejpam-540	169	25	dn	dn	PROPN
ejpam-540	169	26	λ	λ	PROPN
ejpam-540	169	27	(	(	PUNCT
ejpam-540	169	28	a1	a1	NOUN
ejpam-540	169	29	;	;	PUNCT
ejpam-540	169	30	b1	b1	NOUN
ejpam-540	169	31	)	)	PUNCT
ejpam-540	169	32	.	.	PUNCT
ejpam-540	170	1	corollary	corollary	ADJ
ejpam-540	170	2	3	3	X
ejpam-540	170	3	.	.	PUNCT
ejpam-540	171	1	let	let	VERB
ejpam-540	171	2	q	q	NOUN
ejpam-540	171	3	(	(	PUNCT
ejpam-540	171	4	z	z	NOUN
ejpam-540	171	5	)	)	PUNCT
ejpam-540	171	6	be	be	AUX
ejpam-540	171	7	univalent	univalent	ADJ
ejpam-540	171	8	in	in	ADP
ejpam-540	171	9	u	u	NOUN
ejpam-540	171	10	with	with	ADP
ejpam-540	171	11	q(0	q(0	PROPN
ejpam-540	171	12	)	)	PUNCT
ejpam-540	171	13	=	=	SYM
ejpam-540	171	14	1	1	NUM
ejpam-540	171	15	,	,	PUNCT
ejpam-540	171	16	and	and	CCONJ
ejpam-540	171	17	γ	γ	PROPN
ejpam-540	171	18	∈	∈	PROPN
ejpam-540	171	19	c∗.	c∗.	NOUN
ejpam-540	171	20	further	far	ADV
ejpam-540	171	21	assume	assume	VERB
ejpam-540	171	22	that	that	SCONJ
ejpam-540	171	23	[	[	X
ejpam-540	171	24	15	15	NUM
ejpam-540	171	25	]	]	PUNCT
ejpam-540	171	26	holds	hold	VERB
ejpam-540	171	27	.	.	PUNCT
ejpam-540	172	1	if	if	SCONJ
ejpam-540	172	2	f	f	PROPN
ejpam-540	172	3	∈a	∈a	ADJ
ejpam-540	172	4	satisfies	satisfy	VERB
ejpam-540	172	5	the	the	DET
ejpam-540	172	6	following	follow	VERB
ejpam-540	172	7	subordination	subordination	NOUN
ejpam-540	172	8	condition	condition	NOUN
ejpam-540	172	9	:	:	PUNCT
ejpam-540	172	10	�	�	PROPN
ejpam-540	172	11	1	1	NUM
ejpam-540	172	12	+	+	NUM
ejpam-540	172	13	γ	γ	PROPN
ejpam-540	172	14	λ	λ	X
ejpam-540	172	15	�	�	PROPN
ejpam-540	172	16	zdn+1	zdn+1	PROPN
ejpam-540	172	17	λ	λ	PROPN
ejpam-540	172	18	(	(	PUNCT
ejpam-540	172	19	a1	a1	NOUN
ejpam-540	172	20	;	;	PUNCT
ejpam-540	172	21	b1	b1	NOUN
ejpam-540	172	22	)	)	PUNCT
ejpam-540	172	23	f	f	PROPN
ejpam-540	172	24	(	(	PUNCT
ejpam-540	172	25	z	z	NOUN
ejpam-540	172	26	)	)	PUNCT
ejpam-540	172	27	)	)	PUNCT
ejpam-540	172	28	�	�	PROPN
ejpam-540	172	29	dn	dn	PROPN
ejpam-540	172	30	λ	λ	PROPN
ejpam-540	172	31	(	(	PUNCT
ejpam-540	172	32	a1	a1	NOUN
ejpam-540	172	33	;	;	PUNCT
ejpam-540	172	34	b1	b1	NOUN
ejpam-540	172	35	)	)	PUNCT
ejpam-540	172	36	f	f	PROPN
ejpam-540	172	37	(	(	PUNCT
ejpam-540	172	38	z	z	NOUN
ejpam-540	172	39	)	)	PUNCT
ejpam-540	172	40	�	�	PROPN
ejpam-540	172	41	2	2	NUM
ejpam-540	172	42	+	+	CCONJ
ejpam-540	172	43	γ	γ	X
ejpam-540	172	44	λ	λ	X
ejpam-540	172	45			NOUN
ejpam-540	172	46			ADP
ejpam-540	172	47			ADJ
ejpam-540	172	48	zdn+2	zdn+2	PROPN
ejpam-540	172	49	λ	λ	PROPN
ejpam-540	172	50	(	(	PUNCT
ejpam-540	172	51	a1	a1	NOUN
ejpam-540	172	52	;	;	PUNCT
ejpam-540	172	53	b1	b1	NOUN
ejpam-540	172	54	)	)	PUNCT
ejpam-540	172	55	f	f	PROPN
ejpam-540	172	56	(	(	PUNCT
ejpam-540	172	57	z	z	NOUN
ejpam-540	172	58	)	)	PUNCT
ejpam-540	172	59	�	�	PROPN
ejpam-540	172	60	dn	dn	PROPN
ejpam-540	172	61	λ	λ	PROPN
ejpam-540	172	62	(	(	PUNCT
ejpam-540	172	63	a1	a1	NOUN
ejpam-540	172	64	;	;	PUNCT
ejpam-540	173	1	b1	b1	NOUN
ejpam-540	173	2	)	)	PUNCT
ejpam-540	173	3	f	f	PROPN
ejpam-540	174	1	(	(	PUNCT
ejpam-540	174	2	z	z	NOUN
ejpam-540	174	3	)	)	PUNCT
ejpam-540	174	4	�	�	PROPN
ejpam-540	174	5	2	2	NUM
ejpam-540	174	6	−	−	NOUN
ejpam-540	174	7	2	2	NUM
ejpam-540	174	8	z	z	NOUN
ejpam-540	174	9	�	�	PROPN
ejpam-540	174	10	dn+1	dn+1	ADP
ejpam-540	174	11	λ	λ	X
ejpam-540	174	12	(	(	PUNCT
ejpam-540	174	13	a1	a1	NOUN
ejpam-540	174	14	;	;	PUNCT
ejpam-540	174	15	b1	b1	NOUN
ejpam-540	174	16	)	)	PUNCT
ejpam-540	174	17	f	f	PROPN
ejpam-540	174	18	(	(	PUNCT
ejpam-540	174	19	z	z	NOUN
ejpam-540	174	20	)	)	PUNCT
ejpam-540	174	21	�	�	PROPN
ejpam-540	174	22	2	2	NUM
ejpam-540	174	23	�	�	PROPN
ejpam-540	174	24	dn	dn	PROPN
ejpam-540	174	25	λ	λ	PROPN
ejpam-540	174	26	(	(	PUNCT
ejpam-540	174	27	a1	a1	NOUN
ejpam-540	174	28	;	;	PUNCT
ejpam-540	174	29	b1	b1	NOUN
ejpam-540	174	30	)	)	PUNCT
ejpam-540	174	31	f	f	PROPN
ejpam-540	174	32	(	(	PUNCT
ejpam-540	174	33	z	z	NOUN
ejpam-540	174	34	)	)	PUNCT
ejpam-540	174	35	�	�	PROPN
ejpam-540	174	36	3	3	NUM
ejpam-540	174	37			PROPN
ejpam-540	174	38			PROPN
ejpam-540	174	39			NOUN
ejpam-540	174	40	≺	≺	NOUN
ejpam-540	174	41	q	q	NOUN
ejpam-540	174	42	(	(	PUNCT
ejpam-540	174	43	z	z	NOUN
ejpam-540	174	44	)	)	PUNCT
ejpam-540	175	1	+	+	NUM
ejpam-540	175	2	γzq	γzq	X
ejpam-540	175	3	′	′	NUM
ejpam-540	175	4	(	(	PUNCT
ejpam-540	175	5	z	z	NOUN
ejpam-540	175	6	)	)	PUNCT
ejpam-540	175	7	,	,	PUNCT
ejpam-540	175	8	then	then	ADV
ejpam-540	175	9	zdn+1	zdn+1	VERB
ejpam-540	175	10	λ	λ	PROPN
ejpam-540	175	11	(	(	PUNCT
ejpam-540	175	12	a1	a1	NOUN
ejpam-540	175	13	;	;	PUNCT
ejpam-540	175	14	b1	b1	NOUN
ejpam-540	175	15	)	)	PUNCT
ejpam-540	175	16	f	f	PROPN
ejpam-540	175	17	(	(	PUNCT
ejpam-540	175	18	z	z	NOUN
ejpam-540	175	19	)	)	PUNCT
ejpam-540	175	20	)	)	PUNCT
ejpam-540	176	1	�	�	PROPN
ejpam-540	176	2	dn	dn	PROPN
ejpam-540	176	3	λ	λ	PROPN
ejpam-540	176	4	(	(	PUNCT
ejpam-540	176	5	a1	a1	NOUN
ejpam-540	176	6	;	;	PUNCT
ejpam-540	176	7	b1	b1	NOUN
ejpam-540	176	8	)	)	PUNCT
ejpam-540	176	9	f	f	PROPN
ejpam-540	176	10	(	(	PUNCT
ejpam-540	176	11	z	z	NOUN
ejpam-540	176	12	)	)	PUNCT
ejpam-540	176	13	�	�	PROPN
ejpam-540	176	14	2	2	NUM
ejpam-540	176	15	≺	≺	NOUN
ejpam-540	176	16	q	q	NOUN
ejpam-540	176	17	(	(	PUNCT
ejpam-540	176	18	z	z	NOUN
ejpam-540	176	19	)	)	PUNCT
ejpam-540	176	20	and	and	CCONJ
ejpam-540	176	21	q	q	PROPN
ejpam-540	176	22	(	(	PUNCT
ejpam-540	176	23	z	z	NOUN
ejpam-540	176	24	)	)	PUNCT
ejpam-540	176	25	is	be	AUX
ejpam-540	176	26	the	the	DET
ejpam-540	176	27	best	good	ADJ
ejpam-540	176	28	dominant	dominant	NOUN
ejpam-540	176	29	.	.	PUNCT
ejpam-540	177	1	taking	take	VERB
ejpam-540	177	2	n=	n=	ADV
ejpam-540	177	3	0,λ=	0,λ=	NOUN
ejpam-540	177	4	1	1	NUM
ejpam-540	177	5	and	and	CCONJ
ejpam-540	177	6	g(z	g(z	ADJ
ejpam-540	177	7	)	)	PUNCT
ejpam-540	178	1	=	=	SYM
ejpam-540	178	2	z	z	NOUN
ejpam-540	179	1	+	+	NUM
ejpam-540	179	2	∞	∞	NUM
ejpam-540	179	3	∑	∑	PROPN
ejpam-540	179	4	k=2	k=2	PROPN
ejpam-540	179	5	�	�	PROPN
ejpam-540	179	6	l	l	PROPN
ejpam-540	180	1	+	+	CCONJ
ejpam-540	180	2	k	k	PROPN
ejpam-540	180	3	1	1	NUM
ejpam-540	180	4	+	+	NUM
ejpam-540	180	5	l	l	NOUN
ejpam-540	180	6	�	�	PROPN
ejpam-540	180	7	s	s	PART
ejpam-540	180	8	zk	zk	PROPN
ejpam-540	180	9	(	(	PUNCT
ejpam-540	180	10	l	l	PROPN
ejpam-540	180	11	,	,	PUNCT
ejpam-540	180	12	s	s	PROPN
ejpam-540	180	13	∈	∈	PROPN
ejpam-540	180	14	n0	n0	NUM
ejpam-540	180	15	)	)	PUNCT
ejpam-540	180	16	,	,	PUNCT
ejpam-540	180	17	(	(	PUNCT
ejpam-540	180	18	18	18	NUM
ejpam-540	180	19	)	)	PUNCT
ejpam-540	180	20	in	in	ADP
ejpam-540	180	21	theorem	theorem	NOUN
ejpam-540	180	22	1	1	NUM
ejpam-540	180	23	,	,	PUNCT
ejpam-540	180	24	we	we	PRON
ejpam-540	180	25	obtain	obtain	VERB
ejpam-540	180	26	the	the	DET
ejpam-540	180	27	following	follow	VERB
ejpam-540	180	28	subordination	subordination	NOUN
ejpam-540	180	29	result	result	VERB
ejpam-540	180	30	for	for	ADP
ejpam-540	180	31	the	the	DET
ejpam-540	180	32	multiplier	multipli	ADJ
ejpam-540	180	33	transformations	transformation	NOUN
ejpam-540	180	34	i(s	i(s	NOUN
ejpam-540	180	35	,	,	PUNCT
ejpam-540	180	36	l	l	NOUN
ejpam-540	180	37	)	)	PUNCT
ejpam-540	180	38	.	.	PUNCT
ejpam-540	181	1	corollary	corollary	ADJ
ejpam-540	181	2	4	4	NUM
ejpam-540	181	3	.	.	PUNCT
ejpam-540	182	1	let	let	VERB
ejpam-540	182	2	q	q	NOUN
ejpam-540	182	3	(	(	PUNCT
ejpam-540	182	4	z	z	NOUN
ejpam-540	182	5	)	)	PUNCT
ejpam-540	182	6	be	be	AUX
ejpam-540	182	7	univalent	univalent	ADJ
ejpam-540	182	8	in	in	ADP
ejpam-540	182	9	u	u	NOUN
ejpam-540	182	10	with	with	ADP
ejpam-540	182	11	q(0	q(0	PROPN
ejpam-540	182	12	)	)	PUNCT
ejpam-540	182	13	=	=	SYM
ejpam-540	182	14	1	1	NUM
ejpam-540	182	15	,	,	PUNCT
ejpam-540	182	16	and	and	CCONJ
ejpam-540	182	17	γ	γ	PROPN
ejpam-540	182	18	∈	∈	PROPN
ejpam-540	182	19	c∗.	c∗.	NOUN
ejpam-540	182	20	further	far	ADV
ejpam-540	182	21	assume	assume	VERB
ejpam-540	182	22	that	that	SCONJ
ejpam-540	182	23	(	(	PUNCT
ejpam-540	182	24	15	15	NUM
ejpam-540	182	25	)	)	PUNCT
ejpam-540	182	26	holds	hold	VERB
ejpam-540	182	27	.	.	PUNCT
ejpam-540	183	1	if	if	SCONJ
ejpam-540	183	2	f	f	PROPN
ejpam-540	183	3	∈a	∈a	ADJ
ejpam-540	183	4	satisfies	satisfy	VERB
ejpam-540	183	5	the	the	DET
ejpam-540	183	6	following	follow	VERB
ejpam-540	183	7	subordination	subordination	NOUN
ejpam-540	183	8	condition	condition	NOUN
ejpam-540	183	9	:	:	PUNCT
ejpam-540	183	10	z2	z2	PROPN
ejpam-540	183	11	�	�	PROPN
ejpam-540	183	12	i(s	i(s	PROPN
ejpam-540	183	13	,	,	PUNCT
ejpam-540	183	14	l	l	NOUN
ejpam-540	183	15	)	)	PUNCT
ejpam-540	183	16	f	f	NOUN
ejpam-540	183	17	(	(	PUNCT
ejpam-540	183	18	z	z	NOUN
ejpam-540	183	19	)	)	PUNCT
ejpam-540	183	20	�	�	PROPN
ejpam-540	183	21	′	′	NUM
ejpam-540	183	22	�	�	PROPN
ejpam-540	183	23	i(s	i(s	PROPN
ejpam-540	183	24	,	,	PUNCT
ejpam-540	183	25	l	l	NOUN
ejpam-540	183	26	)	)	PUNCT
ejpam-540	183	27	f	f	NOUN
ejpam-540	183	28	(	(	PUNCT
ejpam-540	183	29	z	z	NOUN
ejpam-540	183	30	)	)	PUNCT
ejpam-540	183	31	�	�	PROPN
ejpam-540	183	32	2	2	NUM
ejpam-540	183	33	−	−	NOUN
ejpam-540	183	34	γz2	γz2	PROPN
ejpam-540	183	35	�	�	PROPN
ejpam-540	183	36	z	z	PROPN
ejpam-540	183	37	i(s	i(s	PROPN
ejpam-540	183	38	,	,	PUNCT
ejpam-540	183	39	l	l	NOUN
ejpam-540	183	40	)	)	PUNCT
ejpam-540	183	41	f	f	NOUN
ejpam-540	183	42	(	(	PUNCT
ejpam-540	183	43	z	z	NOUN
ejpam-540	183	44	)	)	PUNCT
ejpam-540	183	45	�	�	NOUN
ejpam-540	183	46	′′	′′	NOUN
ejpam-540	183	47	≺	≺	NOUN
ejpam-540	183	48	q	q	PUNCT
ejpam-540	183	49	(	(	PUNCT
ejpam-540	183	50	z	z	NOUN
ejpam-540	183	51	)	)	PUNCT
ejpam-540	184	1	+	+	NUM
ejpam-540	184	2	γzq	γzq	X
ejpam-540	184	3	′	′	NUM
ejpam-540	184	4	(	(	PUNCT
ejpam-540	184	5	z	z	NOUN
ejpam-540	184	6	)	)	PUNCT
ejpam-540	184	7	,	,	PUNCT
ejpam-540	184	8	m.	m.	NOUN
ejpam-540	184	9	aouf	aouf	PROPN
ejpam-540	184	10	,	,	PUNCT
ejpam-540	184	11	t.	t.	PROPN
ejpam-540	184	12	seoudy	seoudy	PROPN
ejpam-540	184	13	/	/	SYM
ejpam-540	184	14	eur	eur	PROPN
ejpam-540	184	15	.	.	PUNCT
ejpam-540	185	1	j.	j.	PROPN
ejpam-540	185	2	pure	pure	PROPN
ejpam-540	185	3	appl	appl	PROPN
ejpam-540	185	4	.	.	PROPN
ejpam-540	185	5	math	math	PROPN
ejpam-540	185	6	,	,	PUNCT
ejpam-540	185	7	4	4	NUM
ejpam-540	185	8	(	(	PUNCT
ejpam-540	185	9	2011	2011	NUM
ejpam-540	185	10	)	)	PUNCT
ejpam-540	185	11	,	,	PUNCT
ejpam-540	185	12	1	1	NUM
ejpam-540	185	13	-	-	SYM
ejpam-540	185	14	13	13	NUM
ejpam-540	185	15	8	8	NUM
ejpam-540	185	16	then	then	ADV
ejpam-540	185	17	z2	z2	PROPN
ejpam-540	185	18	�	�	PROPN
ejpam-540	185	19	i(s	i(s	PROPN
ejpam-540	185	20	,	,	PUNCT
ejpam-540	185	21	l	l	NOUN
ejpam-540	185	22	)	)	PUNCT
ejpam-540	185	23	f	f	NOUN
ejpam-540	185	24	(	(	PUNCT
ejpam-540	185	25	z	z	NOUN
ejpam-540	185	26	)	)	PUNCT
ejpam-540	185	27	�	�	PROPN
ejpam-540	185	28	′	′	NUM
ejpam-540	185	29	�	�	PROPN
ejpam-540	185	30	i(s	i(s	PROPN
ejpam-540	185	31	,	,	PUNCT
ejpam-540	185	32	l	l	NOUN
ejpam-540	185	33	)	)	PUNCT
ejpam-540	185	34	f	f	NOUN
ejpam-540	185	35	(	(	PUNCT
ejpam-540	185	36	z	z	NOUN
ejpam-540	185	37	)	)	PUNCT
ejpam-540	185	38	�	�	PROPN
ejpam-540	185	39	2	2	NUM
ejpam-540	185	40	≺	≺	NOUN
ejpam-540	185	41	q	q	NOUN
ejpam-540	185	42	(	(	PUNCT
ejpam-540	185	43	z	z	NOUN
ejpam-540	185	44	)	)	PUNCT
ejpam-540	185	45	and	and	CCONJ
ejpam-540	185	46	q	q	PROPN
ejpam-540	185	47	(	(	PUNCT
ejpam-540	185	48	z	z	NOUN
ejpam-540	185	49	)	)	PUNCT
ejpam-540	185	50	is	be	AUX
ejpam-540	185	51	the	the	DET
ejpam-540	185	52	best	good	ADJ
ejpam-540	185	53	dominant	dominant	ADJ
ejpam-540	185	54	.	.	PUNCT
ejpam-540	186	1	remark	remark	PROPN
ejpam-540	186	2	3	3	NUM
ejpam-540	186	3	.	.	PUNCT
ejpam-540	187	1	taking	take	VERB
ejpam-540	187	2	n	n	NOUN
ejpam-540	187	3	=	=	SYM
ejpam-540	187	4	0,λ	0,λ	NOUN
ejpam-540	188	1	=	=	SYM
ejpam-540	188	2	1	1	NUM
ejpam-540	188	3	and	and	CCONJ
ejpam-540	188	4	g(z	g(z	ADJ
ejpam-540	188	5	)	)	PUNCT
ejpam-540	188	6	=	=	SYM
ejpam-540	188	7	z	z	NOUN
ejpam-540	188	8	1−	1−	NUM
ejpam-540	188	9	z	z	NOUN
ejpam-540	188	10	in	in	ADP
ejpam-540	188	11	theorem	theorem	NOUN
ejpam-540	188	12	1	1	NUM
ejpam-540	188	13	,	,	PUNCT
ejpam-540	188	14	we	we	PRON
ejpam-540	188	15	obtain	obtain	VERB
ejpam-540	188	16	the	the	DET
ejpam-540	188	17	subordination	subordination	NOUN
ejpam-540	188	18	result	result	NOUN
ejpam-540	188	19	of	of	ADP
ejpam-540	188	20	shanmugam	shanmugam	PROPN
ejpam-540	188	21	et	et	PROPN
ejpam-540	188	22	al	al	PROPN
ejpam-540	188	23	.	.	PUNCT
ejpam-540	189	1	[	[	X
ejpam-540	189	2	24	24	NUM
ejpam-540	189	3	,	,	PUNCT
ejpam-540	189	4	theorem	theorem	VERB
ejpam-540	189	5	3.4	3.4	NUM
ejpam-540	189	6	]	]	PUNCT
ejpam-540	189	7	and	and	CCONJ
ejpam-540	189	8	also	also	ADV
ejpam-540	189	9	obtained	obtain	VERB
ejpam-540	189	10	by	by	ADP
ejpam-540	189	11	nechita	nechita	NOUN
ejpam-540	189	12	[	[	X
ejpam-540	189	13	18	18	NUM
ejpam-540	189	14	,	,	PUNCT
ejpam-540	189	15	corollary	corollary	ADJ
ejpam-540	189	16	17	17	NUM
ejpam-540	189	17	]	]	PUNCT
ejpam-540	189	18	.	.	PUNCT
ejpam-540	190	1	now	now	ADV
ejpam-540	190	2	,	,	PUNCT
ejpam-540	190	3	by	by	ADP
ejpam-540	190	4	appealing	appeal	VERB
ejpam-540	190	5	to	to	PART
ejpam-540	190	6	lemma	lemma	PROPN
ejpam-540	190	7	4	4	NUM
ejpam-540	190	8	it	it	PRON
ejpam-540	190	9	can	can	AUX
ejpam-540	190	10	be	be	AUX
ejpam-540	190	11	easily	easily	ADV
ejpam-540	190	12	prove	prove	VERB
ejpam-540	190	13	the	the	DET
ejpam-540	190	14	following	follow	VERB
ejpam-540	190	15	theorem	theorem	VERB
ejpam-540	190	16	.	.	PUNCT
ejpam-540	190	17	theorem	theorem	NOUN
ejpam-540	190	18	2	2	NUM
ejpam-540	190	19	.	.	PUNCT
ejpam-540	191	1	let	let	VERB
ejpam-540	191	2	q	q	NOUN
ejpam-540	191	3	(	(	PUNCT
ejpam-540	191	4	z	z	NOUN
ejpam-540	191	5	)	)	PUNCT
ejpam-540	191	6	be	be	AUX
ejpam-540	191	7	convex	convex	ADJ
ejpam-540	191	8	univalent	univalent	ADJ
ejpam-540	191	9	in	in	ADP
ejpam-540	191	10	u	u	NOUN
ejpam-540	191	11	with	with	ADP
ejpam-540	191	12	q	q	PROPN
ejpam-540	191	13	(	(	PUNCT
ejpam-540	191	14	0	0	NUM
ejpam-540	191	15	)	)	PUNCT
ejpam-540	191	16	=	=	SYM
ejpam-540	192	1	1	1	X
ejpam-540	192	2	.	.	PUNCT
ejpam-540	192	3	let	let	VERB
ejpam-540	192	4	γ	γ	X
ejpam-540	192	5	∈	∈	PROPN
ejpam-540	192	6	c	c	NOUN
ejpam-540	192	7	with	with	ADP
ejpam-540	192	8	ℜ	ℜ	PROPN
ejpam-540	192	9	�	�	PROPN
ejpam-540	192	10	γ	γ	X
ejpam-540	192	11	�	�	PROPN
ejpam-540	192	12	>	>	X
ejpam-540	192	13	0	0	PROPN
ejpam-540	192	14	.	.	PUNCT
ejpam-540	193	1	if	if	SCONJ
ejpam-540	193	2	f	f	PROPN
ejpam-540	193	3	,	,	PUNCT
ejpam-540	193	4	g	g	PROPN
ejpam-540	193	5	∈a	∈a	NUM
ejpam-540	193	6	,	,	PUNCT
ejpam-540	193	7	zdn+1	zdn+1	NOUN
ejpam-540	193	8	λ	λ	PROPN
ejpam-540	193	9	(	(	PUNCT
ejpam-540	193	10	f	f	PROPN
ejpam-540	193	11	∗	∗	PROPN
ejpam-540	193	12	g)(z	g)(z	PUNCT
ejpam-540	193	13	)	)	PUNCT
ejpam-540	193	14	�	�	PROPN
ejpam-540	193	15	dn	dn	PROPN
ejpam-540	193	16	λ	λ	PROPN
ejpam-540	193	17	(	(	PUNCT
ejpam-540	193	18	f	f	PROPN
ejpam-540	193	19	∗	∗	PROPN
ejpam-540	193	20	g)(z	g)(z	PUNCT
ejpam-540	193	21	)	)	PUNCT
ejpam-540	193	22	�	�	PROPN
ejpam-540	193	23	2	2	NUM
ejpam-540	193	24	∈	∈	NOUN
ejpam-540	193	25	h	h	NOUN
ejpam-540	194	1	[	[	X
ejpam-540	194	2	1,1]∩q	1,1]∩q	NUM
ejpam-540	194	3	,	,	PUNCT
ejpam-540	194	4	�	�	PROPN
ejpam-540	194	5	1	1	NUM
ejpam-540	194	6	+	+	NUM
ejpam-540	194	7	γ	γ	PROPN
ejpam-540	194	8	λ	λ	X
ejpam-540	194	9	�	�	PROPN
ejpam-540	194	10	zdn+1	zdn+1	PROPN
ejpam-540	194	11	λ	λ	PROPN
ejpam-540	194	12	(	(	PUNCT
ejpam-540	194	13	f	f	PROPN
ejpam-540	194	14	∗	∗	PROPN
ejpam-540	194	15	g)(z	g)(z	PUNCT
ejpam-540	194	16	)	)	PUNCT
ejpam-540	194	17	�	�	PROPN
ejpam-540	194	18	dn	dn	PROPN
ejpam-540	194	19	λ	λ	PROPN
ejpam-540	194	20	(	(	PUNCT
ejpam-540	194	21	f	f	PROPN
ejpam-540	194	22	∗	∗	PROPN
ejpam-540	194	23	g)(z	g)(z	PUNCT
ejpam-540	194	24	)	)	PUNCT
ejpam-540	194	25	�	�	NOUN
ejpam-540	194	26	2	2	NUM
ejpam-540	194	27	+	+	CCONJ
ejpam-540	194	28	γ	γ	X
ejpam-540	194	29	λ	λ	X
ejpam-540	194	30			NOUN
ejpam-540	194	31			ADP
ejpam-540	194	32			ADJ
ejpam-540	194	33	zdn+2	zdn+2	PROPN
ejpam-540	194	34	λ	λ	PROPN
ejpam-540	194	35	(	(	PUNCT
ejpam-540	194	36	f	f	PROPN
ejpam-540	194	37	∗	∗	PROPN
ejpam-540	194	38	g)(z	g)(z	PUNCT
ejpam-540	194	39	)	)	PUNCT
ejpam-540	194	40	�	�	PROPN
ejpam-540	194	41	dn	dn	PROPN
ejpam-540	194	42	λ	λ	PROPN
ejpam-540	194	43	(	(	PUNCT
ejpam-540	194	44	f	f	PROPN
ejpam-540	194	45	∗	∗	PROPN
ejpam-540	194	46	g)(z	g)(z	PUNCT
ejpam-540	194	47	)	)	PUNCT
ejpam-540	194	48	�	�	PROPN
ejpam-540	194	49	2	2	NUM
ejpam-540	194	50	−	−	NOUN
ejpam-540	194	51	2	2	NUM
ejpam-540	194	52	z	z	NOUN
ejpam-540	194	53	�	�	PROPN
ejpam-540	194	54	dn+1	dn+1	ADP
ejpam-540	194	55	λ	λ	PROPN
ejpam-540	194	56	(	(	PUNCT
ejpam-540	194	57	f	f	PROPN
ejpam-540	194	58	∗	∗	PROPN
ejpam-540	194	59	g)(z	g)(z	PUNCT
ejpam-540	194	60	)	)	PUNCT
ejpam-540	194	61	�	�	PROPN
ejpam-540	194	62	2	2	NUM
ejpam-540	194	63	�	�	PROPN
ejpam-540	194	64	dn	dn	PROPN
ejpam-540	194	65	λ	λ	PROPN
ejpam-540	194	66	(	(	PUNCT
ejpam-540	194	67	f	f	PROPN
ejpam-540	194	68	∗	∗	PROPN
ejpam-540	194	69	g)(z	g)(z	PUNCT
ejpam-540	194	70	)	)	PUNCT
ejpam-540	194	71	�	�	PROPN
ejpam-540	194	72	3	3	NUM
ejpam-540	194	73			PROPN
ejpam-540	194	74			PROPN
ejpam-540	194	75			NOUN
ejpam-540	194	76	is	be	AUX
ejpam-540	194	77	univalent	univalent	ADJ
ejpam-540	194	78	in	in	ADP
ejpam-540	194	79	u	u	PROPN
ejpam-540	194	80	,	,	PUNCT
ejpam-540	194	81	and	and	CCONJ
ejpam-540	194	82	the	the	DET
ejpam-540	194	83	following	follow	VERB
ejpam-540	194	84	superordination	superordination	NOUN
ejpam-540	194	85	condition	condition	NOUN
ejpam-540	194	86	q	q	X
ejpam-540	195	1	(	(	PUNCT
ejpam-540	195	2	z)+γzq	z)+γzq	NOUN
ejpam-540	195	3	′	′	NUM
ejpam-540	195	4	(	(	PUNCT
ejpam-540	195	5	z	z	NOUN
ejpam-540	195	6	)	)	PUNCT
ejpam-540	195	7	≺	≺	NOUN
ejpam-540	195	8	�	�	PROPN
ejpam-540	195	9	1	1	NUM
ejpam-540	195	10	+	+	NUM
ejpam-540	195	11	γ	γ	PROPN
ejpam-540	195	12	λ	λ	X
ejpam-540	195	13	�	�	PROPN
ejpam-540	195	14	zdn+1	zdn+1	PROPN
ejpam-540	195	15	λ	λ	PROPN
ejpam-540	195	16	(	(	PUNCT
ejpam-540	195	17	f	f	PROPN
ejpam-540	195	18	∗	∗	PROPN
ejpam-540	195	19	g)(z	g)(z	PUNCT
ejpam-540	195	20	)	)	PUNCT
ejpam-540	195	21	�	�	PROPN
ejpam-540	195	22	dn	dn	PROPN
ejpam-540	195	23	λ	λ	PROPN
ejpam-540	195	24	(	(	PUNCT
ejpam-540	195	25	f	f	PROPN
ejpam-540	195	26	∗	∗	PROPN
ejpam-540	195	27	g)(z	g)(z	PUNCT
ejpam-540	195	28	)	)	PUNCT
ejpam-540	195	29	�	�	NOUN
ejpam-540	195	30	2	2	NUM
ejpam-540	195	31	+	+	CCONJ
ejpam-540	195	32	γ	γ	X
ejpam-540	195	33	λ	λ	X
ejpam-540	195	34			NOUN
ejpam-540	195	35			ADP
ejpam-540	195	36			ADJ
ejpam-540	195	37	zdn+2	zdn+2	PROPN
ejpam-540	195	38	λ	λ	PROPN
ejpam-540	195	39	(	(	PUNCT
ejpam-540	195	40	f	f	PROPN
ejpam-540	195	41	∗	∗	PROPN
ejpam-540	195	42	g)(z	g)(z	PUNCT
ejpam-540	195	43	)	)	PUNCT
ejpam-540	195	44	�	�	PROPN
ejpam-540	195	45	dn	dn	PROPN
ejpam-540	195	46	λ	λ	PROPN
ejpam-540	195	47	(	(	PUNCT
ejpam-540	195	48	f	f	PROPN
ejpam-540	195	49	∗	∗	PROPN
ejpam-540	195	50	g)(z	g)(z	PUNCT
ejpam-540	195	51	)	)	PUNCT
ejpam-540	195	52	�	�	PROPN
ejpam-540	195	53	2	2	NUM
ejpam-540	195	54	−	−	NOUN
ejpam-540	195	55	2	2	NUM
ejpam-540	195	56	z	z	NOUN
ejpam-540	195	57	�	�	PROPN
ejpam-540	195	58	dn+1	dn+1	ADP
ejpam-540	195	59	λ	λ	PROPN
ejpam-540	195	60	(	(	PUNCT
ejpam-540	195	61	f	f	PROPN
ejpam-540	195	62	∗	∗	PROPN
ejpam-540	195	63	g)(z	g)(z	PUNCT
ejpam-540	195	64	)	)	PUNCT
ejpam-540	195	65	�	�	PROPN
ejpam-540	195	66	2	2	NUM
ejpam-540	195	67	�	�	PROPN
ejpam-540	195	68	dn	dn	PROPN
ejpam-540	195	69	λ	λ	PROPN
ejpam-540	195	70	(	(	PUNCT
ejpam-540	195	71	f	f	PROPN
ejpam-540	195	72	∗	∗	PROPN
ejpam-540	195	73	g)(z	g)(z	PUNCT
ejpam-540	195	74	)	)	PUNCT
ejpam-540	195	75	�	�	PROPN
ejpam-540	195	76	3	3	NUM
ejpam-540	195	77			PROPN
ejpam-540	195	78			PROPN
ejpam-540	195	79			NOUN
ejpam-540	195	80	holds	hold	VERB
ejpam-540	195	81	,	,	PUNCT
ejpam-540	195	82	then	then	ADV
ejpam-540	195	83	q	q	X
ejpam-540	195	84	(	(	PUNCT
ejpam-540	195	85	z	z	NOUN
ejpam-540	195	86	)	)	PUNCT
ejpam-540	195	87	≺	≺	NOUN
ejpam-540	195	88	zdn+1	zdn+1	VERB
ejpam-540	195	89	λ	λ	NOUN
ejpam-540	195	90	(	(	PUNCT
ejpam-540	195	91	f	f	PROPN
ejpam-540	195	92	∗	∗	PROPN
ejpam-540	195	93	g)(z	g)(z	PUNCT
ejpam-540	195	94	)	)	PUNCT
ejpam-540	195	95	�	�	PROPN
ejpam-540	195	96	dn	dn	PROPN
ejpam-540	195	97	λ	λ	PROPN
ejpam-540	195	98	(	(	PUNCT
ejpam-540	195	99	f	f	PROPN
ejpam-540	195	100	∗	∗	PROPN
ejpam-540	195	101	g)(z	g)(z	PUNCT
ejpam-540	195	102	)	)	PUNCT
ejpam-540	195	103	�	�	PROPN
ejpam-540	195	104	2	2	NUM
ejpam-540	195	105	and	and	CCONJ
ejpam-540	195	106	q	q	PROPN
ejpam-540	195	107	(	(	PUNCT
ejpam-540	195	108	z	z	NOUN
ejpam-540	195	109	)	)	PUNCT
ejpam-540	195	110	is	be	AUX
ejpam-540	195	111	the	the	DET
ejpam-540	195	112	best	good	ADJ
ejpam-540	195	113	subordinant	subordinant	NOUN
ejpam-540	195	114	.	.	PUNCT
ejpam-540	196	1	taking	take	VERB
ejpam-540	196	2	q(z	q(z	PROPN
ejpam-540	196	3	)	)	PUNCT
ejpam-540	196	4	=	=	SYM
ejpam-540	197	1	1	1	NUM
ejpam-540	197	2	+	+	NUM
ejpam-540	197	3	az	az	PROPN
ejpam-540	197	4	1	1	NUM
ejpam-540	197	5	+	+	CCONJ
ejpam-540	197	6	bz	bz	PROPN
ejpam-540	197	7	(	(	PUNCT
ejpam-540	197	8	−1≤	−1≤	PROPN
ejpam-540	197	9	b	b	PROPN
ejpam-540	197	10	<	<	X
ejpam-540	197	11	a≤	a≤	ADP
ejpam-540	197	12	1	1	NUM
ejpam-540	197	13	)	)	PUNCT
ejpam-540	197	14	in	in	ADP
ejpam-540	197	15	theorem	theorem	NOUN
ejpam-540	197	16	2	2	NUM
ejpam-540	197	17	,	,	PUNCT
ejpam-540	197	18	we	we	PRON
ejpam-540	197	19	have	have	VERB
ejpam-540	197	20	the	the	DET
ejpam-540	197	21	following	follow	VERB
ejpam-540	197	22	corollary	corollary	NOUN
ejpam-540	197	23	.	.	PUNCT
ejpam-540	198	1	corollary	corollary	ADJ
ejpam-540	198	2	5	5	NUM
ejpam-540	198	3	.	.	PUNCT
ejpam-540	199	1	let	let	VERB
ejpam-540	199	2	γ	γ	X
ejpam-540	199	3	∈	∈	PROPN
ejpam-540	199	4	c	c	NOUN
ejpam-540	199	5	with	with	ADP
ejpam-540	199	6	ℜ	ℜ	PROPN
ejpam-540	199	7	�	�	PROPN
ejpam-540	199	8	γ	γ	X
ejpam-540	199	9	�	�	PROPN
ejpam-540	199	10	>	>	X
ejpam-540	199	11	0	0	PROPN
ejpam-540	199	12	.	.	PUNCT
ejpam-540	200	1	if	if	SCONJ
ejpam-540	200	2	f	f	PROPN
ejpam-540	200	3	,	,	PUNCT
ejpam-540	200	4	g	g	PROPN
ejpam-540	200	5	∈a	∈a	NUM
ejpam-540	200	6	,	,	PUNCT
ejpam-540	200	7	zdn+1	zdn+1	NOUN
ejpam-540	200	8	λ	λ	PROPN
ejpam-540	200	9	(	(	PUNCT
ejpam-540	200	10	f	f	PROPN
ejpam-540	200	11	∗	∗	PROPN
ejpam-540	200	12	g)(z	g)(z	PUNCT
ejpam-540	200	13	)	)	PUNCT
ejpam-540	200	14	�	�	PROPN
ejpam-540	200	15	dn	dn	PROPN
ejpam-540	200	16	λ	λ	PROPN
ejpam-540	200	17	(	(	PUNCT
ejpam-540	200	18	f	f	PROPN
ejpam-540	200	19	∗	∗	PROPN
ejpam-540	200	20	g)(z	g)(z	PUNCT
ejpam-540	200	21	)	)	PUNCT
ejpam-540	200	22	�	�	PROPN
ejpam-540	200	23	2	2	NUM
ejpam-540	200	24	∈	∈	NOUN
ejpam-540	200	25	h	h	NOUN
ejpam-540	201	1	[	[	X
ejpam-540	201	2	1,1]∩q	1,1]∩q	NUM
ejpam-540	201	3	,	,	PUNCT
ejpam-540	201	4	�	�	PROPN
ejpam-540	201	5	1	1	NUM
ejpam-540	201	6	+	+	NUM
ejpam-540	201	7	γ	γ	PROPN
ejpam-540	201	8	λ	λ	X
ejpam-540	201	9	�	�	PROPN
ejpam-540	201	10	zdn+1	zdn+1	PROPN
ejpam-540	201	11	λ	λ	PROPN
ejpam-540	201	12	(	(	PUNCT
ejpam-540	201	13	f	f	PROPN
ejpam-540	201	14	∗	∗	PROPN
ejpam-540	201	15	g)(z	g)(z	PUNCT
ejpam-540	201	16	)	)	PUNCT
ejpam-540	201	17	�	�	PROPN
ejpam-540	201	18	dn	dn	PROPN
ejpam-540	201	19	λ	λ	PROPN
ejpam-540	201	20	(	(	PUNCT
ejpam-540	201	21	f	f	PROPN
ejpam-540	201	22	∗	∗	PROPN
ejpam-540	201	23	g)(z	g)(z	PUNCT
ejpam-540	201	24	)	)	PUNCT
ejpam-540	201	25	�	�	NOUN
ejpam-540	201	26	2	2	NUM
ejpam-540	201	27	+	+	CCONJ
ejpam-540	201	28	γ	γ	X
ejpam-540	201	29	λ	λ	X
ejpam-540	201	30			NOUN
ejpam-540	201	31			ADP
ejpam-540	201	32			ADJ
ejpam-540	201	33	zdn+2	zdn+2	PROPN
ejpam-540	201	34	λ	λ	PROPN
ejpam-540	201	35	(	(	PUNCT
ejpam-540	201	36	f	f	PROPN
ejpam-540	201	37	∗	∗	PROPN
ejpam-540	201	38	g)(z	g)(z	PUNCT
ejpam-540	201	39	)	)	PUNCT
ejpam-540	201	40	�	�	PROPN
ejpam-540	201	41	dn	dn	PROPN
ejpam-540	201	42	λ	λ	PROPN
ejpam-540	201	43	(	(	PUNCT
ejpam-540	201	44	f	f	PROPN
ejpam-540	201	45	∗	∗	PROPN
ejpam-540	201	46	g)(z	g)(z	PUNCT
ejpam-540	201	47	)	)	PUNCT
ejpam-540	201	48	�	�	PROPN
ejpam-540	201	49	2	2	NUM
ejpam-540	201	50	−	−	NOUN
ejpam-540	201	51	2	2	NUM
ejpam-540	201	52	z	z	NOUN
ejpam-540	201	53	�	�	PROPN
ejpam-540	201	54	dn+1	dn+1	ADP
ejpam-540	201	55	λ	λ	PROPN
ejpam-540	201	56	(	(	PUNCT
ejpam-540	201	57	f	f	PROPN
ejpam-540	201	58	∗	∗	PROPN
ejpam-540	201	59	g)(z	g)(z	PUNCT
ejpam-540	201	60	)	)	PUNCT
ejpam-540	201	61	�	�	PROPN
ejpam-540	201	62	2	2	NUM
ejpam-540	201	63	�	�	PROPN
ejpam-540	201	64	dn	dn	PROPN
ejpam-540	201	65	λ	λ	PROPN
ejpam-540	201	66	(	(	PUNCT
ejpam-540	201	67	f	f	PROPN
ejpam-540	201	68	∗	∗	PROPN
ejpam-540	201	69	g)(z	g)(z	PUNCT
ejpam-540	201	70	)	)	PUNCT
ejpam-540	201	71	�	�	PROPN
ejpam-540	201	72	3	3	NUM
ejpam-540	201	73			PROPN
ejpam-540	201	74			PROPN
ejpam-540	201	75			NOUN
ejpam-540	201	76	is	be	AUX
ejpam-540	201	77	univalent	univalent	ADJ
ejpam-540	201	78	in	in	ADP
ejpam-540	201	79	u	u	PROPN
ejpam-540	201	80	,	,	PUNCT
ejpam-540	201	81	and	and	CCONJ
ejpam-540	201	82	the	the	DET
ejpam-540	201	83	following	follow	VERB
ejpam-540	201	84	superordination	superordination	NOUN
ejpam-540	201	85	condition	condition	NOUN
ejpam-540	201	86	1	1	NUM
ejpam-540	201	87	+	+	NUM
ejpam-540	201	88	az	az	PROPN
ejpam-540	201	89	1	1	NUM
ejpam-540	201	90	+	+	CCONJ
ejpam-540	201	91	bz	bz	PROPN
ejpam-540	202	1	+	+	PROPN
ejpam-540	202	2	γ	γ	X
ejpam-540	202	3	(	(	PUNCT
ejpam-540	202	4	a−	a−	PROPN
ejpam-540	202	5	b	b	NOUN
ejpam-540	202	6	)	)	PUNCT
ejpam-540	202	7	z	z	NOUN
ejpam-540	202	8	(	(	PUNCT
ejpam-540	202	9	1	1	NUM
ejpam-540	202	10	+	+	NUM
ejpam-540	202	11	bz)2	bz)2	NOUN
ejpam-540	202	12	≺	≺	NOUN
ejpam-540	202	13	�	�	NOUN
ejpam-540	203	1	1	1	NUM
ejpam-540	203	2	+	+	NUM
ejpam-540	203	3	γ	γ	PROPN
ejpam-540	203	4	λ	λ	X
ejpam-540	203	5	�	�	PROPN
ejpam-540	203	6	zdn+1	zdn+1	PROPN
ejpam-540	203	7	λ	λ	PROPN
ejpam-540	203	8	(	(	PUNCT
ejpam-540	203	9	f	f	PROPN
ejpam-540	203	10	∗	∗	PROPN
ejpam-540	203	11	g)(z	g)(z	PUNCT
ejpam-540	203	12	)	)	PUNCT
ejpam-540	203	13	�	�	PROPN
ejpam-540	203	14	dn	dn	PROPN
ejpam-540	203	15	λ	λ	PROPN
ejpam-540	203	16	(	(	PUNCT
ejpam-540	203	17	f	f	PROPN
ejpam-540	203	18	∗	∗	PROPN
ejpam-540	203	19	g)(z	g)(z	PUNCT
ejpam-540	203	20	)	)	PUNCT
ejpam-540	203	21	�	�	NOUN
ejpam-540	203	22	2	2	NUM
ejpam-540	203	23	+	+	CCONJ
ejpam-540	203	24	γ	γ	X
ejpam-540	203	25	λ	λ	X
ejpam-540	203	26			NOUN
ejpam-540	203	27			ADP
ejpam-540	203	28			ADJ
ejpam-540	203	29	zdn+2	zdn+2	PROPN
ejpam-540	203	30	λ	λ	PROPN
ejpam-540	203	31	(	(	PUNCT
ejpam-540	203	32	f	f	PROPN
ejpam-540	203	33	∗	∗	PROPN
ejpam-540	203	34	g)(z	g)(z	PUNCT
ejpam-540	203	35	)	)	PUNCT
ejpam-540	203	36	�	�	PROPN
ejpam-540	203	37	dn	dn	PROPN
ejpam-540	203	38	λ	λ	PROPN
ejpam-540	203	39	(	(	PUNCT
ejpam-540	203	40	f	f	PROPN
ejpam-540	203	41	∗	∗	PROPN
ejpam-540	203	42	g)(z	g)(z	PUNCT
ejpam-540	203	43	)	)	PUNCT
ejpam-540	203	44	�	�	PROPN
ejpam-540	203	45	2	2	NUM
ejpam-540	203	46	−	−	NOUN
ejpam-540	203	47	2	2	NUM
ejpam-540	203	48	z	z	NOUN
ejpam-540	203	49	�	�	PROPN
ejpam-540	203	50	dn+1	dn+1	ADP
ejpam-540	203	51	λ	λ	PROPN
ejpam-540	203	52	(	(	PUNCT
ejpam-540	203	53	f	f	PROPN
ejpam-540	203	54	∗	∗	PROPN
ejpam-540	203	55	g)(z	g)(z	PUNCT
ejpam-540	203	56	)	)	PUNCT
ejpam-540	203	57	�	�	PROPN
ejpam-540	203	58	2	2	NUM
ejpam-540	203	59	�	�	PROPN
ejpam-540	203	60	dn	dn	PROPN
ejpam-540	203	61	λ	λ	PROPN
ejpam-540	203	62	(	(	PUNCT
ejpam-540	203	63	f	f	PROPN
ejpam-540	203	64	∗	∗	PROPN
ejpam-540	203	65	g)(z	g)(z	PUNCT
ejpam-540	203	66	)	)	PUNCT
ejpam-540	203	67	�	�	PROPN
ejpam-540	203	68	3	3	NUM
ejpam-540	203	69			PROPN
ejpam-540	203	70			PROPN
ejpam-540	203	71			NOUN
ejpam-540	203	72	m.	m.	NOUN
ejpam-540	203	73	aouf	aouf	PROPN
ejpam-540	203	74	,	,	PUNCT
ejpam-540	203	75	t.	t.	PROPN
ejpam-540	203	76	seoudy	seoudy	PROPN
ejpam-540	203	77	/	/	SYM
ejpam-540	203	78	eur	eur	PROPN
ejpam-540	203	79	.	.	PUNCT
ejpam-540	204	1	j.	j.	PROPN
ejpam-540	204	2	pure	pure	PROPN
ejpam-540	204	3	appl	appl	PROPN
ejpam-540	204	4	.	.	PROPN
ejpam-540	204	5	math	math	PROPN
ejpam-540	204	6	,	,	PUNCT
ejpam-540	204	7	4	4	NUM
ejpam-540	204	8	(	(	PUNCT
ejpam-540	204	9	2011	2011	NUM
ejpam-540	204	10	)	)	PUNCT
ejpam-540	204	11	,	,	PUNCT
ejpam-540	204	12	1	1	NUM
ejpam-540	204	13	-	-	SYM
ejpam-540	204	14	13	13	NUM
ejpam-540	204	15	9	9	NUM
ejpam-540	204	16	holds	hold	NOUN
ejpam-540	204	17	,	,	PUNCT
ejpam-540	204	18	then	then	ADV
ejpam-540	204	19	1	1	NUM
ejpam-540	204	20	+	+	NUM
ejpam-540	204	21	az	az	PROPN
ejpam-540	204	22	1	1	NUM
ejpam-540	204	23	+	+	CCONJ
ejpam-540	204	24	bz	bz	PROPN
ejpam-540	204	25	≺	≺	NOUN
ejpam-540	204	26	zdn+1	zdn+1	PROPN
ejpam-540	204	27	λ	λ	NOUN
ejpam-540	204	28	(	(	PUNCT
ejpam-540	204	29	f	f	PROPN
ejpam-540	204	30	∗	∗	PROPN
ejpam-540	204	31	g)(z	g)(z	PUNCT
ejpam-540	204	32	)	)	PUNCT
ejpam-540	204	33	�	�	PROPN
ejpam-540	204	34	dn	dn	PROPN
ejpam-540	204	35	λ	λ	PROPN
ejpam-540	204	36	(	(	PUNCT
ejpam-540	204	37	f	f	PROPN
ejpam-540	204	38	∗	∗	PROPN
ejpam-540	204	39	g)(z	g)(z	PUNCT
ejpam-540	204	40	)	)	PUNCT
ejpam-540	204	41	�	�	PROPN
ejpam-540	204	42	2	2	NUM
ejpam-540	204	43	and	and	CCONJ
ejpam-540	204	44	q	q	PROPN
ejpam-540	204	45	(	(	PUNCT
ejpam-540	204	46	z	z	NOUN
ejpam-540	204	47	)	)	PUNCT
ejpam-540	204	48	is	be	AUX
ejpam-540	204	49	the	the	DET
ejpam-540	204	50	best	good	ADJ
ejpam-540	204	51	subordinant	subordinant	NOUN
ejpam-540	204	52	.	.	PUNCT
ejpam-540	205	1	remark	remark	PROPN
ejpam-540	205	2	4	4	NUM
ejpam-540	205	3	.	.	PUNCT
ejpam-540	206	1	taking	take	VERB
ejpam-540	206	2	g(z	g(z	PROPN
ejpam-540	206	3	)	)	PUNCT
ejpam-540	207	1	=	=	SYM
ejpam-540	207	2	z	z	NOUN
ejpam-540	207	3	1−	1−	NUM
ejpam-540	207	4	z	z	NOUN
ejpam-540	207	5	in	in	ADP
ejpam-540	207	6	theorem	theorem	NOUN
ejpam-540	207	7	2	2	NUM
ejpam-540	207	8	,	,	PUNCT
ejpam-540	207	9	we	we	PRON
ejpam-540	207	10	obtain	obtain	VERB
ejpam-540	207	11	the	the	DET
ejpam-540	207	12	superordination	superordination	NOUN
ejpam-540	207	13	result	result	NOUN
ejpam-540	207	14	of	of	ADP
ejpam-540	207	15	nechita	nechita	NOUN
ejpam-540	208	1	[	[	X
ejpam-540	208	2	18	18	NUM
ejpam-540	208	3	,	,	PUNCT
ejpam-540	208	4	theorem	theorem	VERB
ejpam-540	208	5	19	19	NUM
ejpam-540	208	6	]	]	PUNCT
ejpam-540	208	7	.	.	PUNCT
ejpam-540	209	1	remark	remark	PROPN
ejpam-540	209	2	5	5	NUM
ejpam-540	209	3	.	.	PUNCT
ejpam-540	210	1	taking	take	VERB
ejpam-540	210	2	λ	λ	PROPN
ejpam-540	210	3	=	=	SYM
ejpam-540	210	4	1	1	NUM
ejpam-540	210	5	and	and	CCONJ
ejpam-540	210	6	g(z	g(z	ADJ
ejpam-540	210	7	)	)	PUNCT
ejpam-540	211	1	=	=	SYM
ejpam-540	211	2	z	z	NOUN
ejpam-540	212	1	1−	1−	NUM
ejpam-540	212	2	z	z	NOUN
ejpam-540	212	3	in	in	ADP
ejpam-540	212	4	theorem	theorem	NOUN
ejpam-540	212	5	2	2	NUM
ejpam-540	212	6	,	,	PUNCT
ejpam-540	212	7	we	we	PRON
ejpam-540	212	8	obtain	obtain	VERB
ejpam-540	212	9	the	the	DET
ejpam-540	212	10	following	follow	VERB
ejpam-540	212	11	superordination	superordination	NOUN
ejpam-540	212	12	result	result	NOUN
ejpam-540	212	13	for	for	ADP
ejpam-540	212	14	sălăgean	sălăgean	ADJ
ejpam-540	212	15	operator	operator	NOUN
ejpam-540	212	16	which	which	PRON
ejpam-540	212	17	is	be	AUX
ejpam-540	212	18	obtained	obtain	VERB
ejpam-540	212	19	shanmugam	shanmugam	PROPN
ejpam-540	212	20	et	et	PROPN
ejpam-540	212	21	al	al	PROPN
ejpam-540	212	22	.	.	PUNCT
ejpam-540	213	1	[	[	X
ejpam-540	213	2	24	24	NUM
ejpam-540	213	3	,	,	PUNCT
ejpam-540	213	4	theorem	theorem	VERB
ejpam-540	213	5	5.5	5.5	NUM
ejpam-540	213	6	]	]	PUNCT
ejpam-540	213	7	.	.	PUNCT
ejpam-540	214	1	taking	take	VERB
ejpam-540	214	2	n	n	NOUN
ejpam-540	214	3	=	=	SYM
ejpam-540	214	4	0,λ	0,λ	NOUN
ejpam-540	215	1	=	=	SYM
ejpam-540	215	2	1	1	NUM
ejpam-540	215	3	and	and	CCONJ
ejpam-540	215	4	g	g	PROPN
ejpam-540	215	5	(	(	PUNCT
ejpam-540	215	6	z	z	NOUN
ejpam-540	215	7	)	)	PUNCT
ejpam-540	215	8	of	of	ADP
ejpam-540	215	9	the	the	DET
ejpam-540	215	10	form	form	NOUN
ejpam-540	215	11	(	(	PUNCT
ejpam-540	215	12	9	9	NUM
ejpam-540	215	13	)	)	PUNCT
ejpam-540	215	14	in	in	ADP
ejpam-540	215	15	theorem	theorem	NOUN
ejpam-540	215	16	2	2	NUM
ejpam-540	215	17	,	,	PUNCT
ejpam-540	215	18	we	we	PRON
ejpam-540	215	19	obtain	obtain	VERB
ejpam-540	215	20	the	the	DET
ejpam-540	215	21	following	follow	VERB
ejpam-540	215	22	superordination	superordination	NOUN
ejpam-540	215	23	result	result	NOUN
ejpam-540	215	24	for	for	ADP
ejpam-540	215	25	dziok	dziok	NOUN
ejpam-540	215	26	-	-	PUNCT
ejpam-540	215	27	srivastava	srivastava	PROPN
ejpam-540	215	28	operator	operator	NOUN
ejpam-540	215	29	.	.	PUNCT
ejpam-540	216	1	corollary	corollary	ADJ
ejpam-540	216	2	6	6	NUM
ejpam-540	216	3	.	.	PUNCT
ejpam-540	217	1	let	let	VERB
ejpam-540	217	2	q	q	NOUN
ejpam-540	217	3	(	(	PUNCT
ejpam-540	217	4	z	z	NOUN
ejpam-540	217	5	)	)	PUNCT
ejpam-540	217	6	be	be	AUX
ejpam-540	217	7	convex	convex	ADJ
ejpam-540	217	8	univalent	univalent	ADJ
ejpam-540	217	9	in	in	ADP
ejpam-540	217	10	u	u	NOUN
ejpam-540	217	11	with	with	ADP
ejpam-540	217	12	q	q	PROPN
ejpam-540	217	13	(	(	PUNCT
ejpam-540	217	14	0	0	NUM
ejpam-540	217	15	)	)	PUNCT
ejpam-540	217	16	=	=	SYM
ejpam-540	218	1	1	1	X
ejpam-540	218	2	.	.	PUNCT
ejpam-540	218	3	let	let	VERB
ejpam-540	218	4	γ	γ	X
ejpam-540	218	5	∈	∈	PROPN
ejpam-540	218	6	c	c	NOUN
ejpam-540	218	7	with	with	ADP
ejpam-540	218	8	ℜ	ℜ	PROPN
ejpam-540	218	9	�	�	PROPN
ejpam-540	218	10	γ	γ	X
ejpam-540	218	11	�	�	PROPN
ejpam-540	218	12	>	>	X
ejpam-540	218	13	0	0	PROPN
ejpam-540	218	14	.	.	PUNCT
ejpam-540	219	1	if	if	SCONJ
ejpam-540	219	2	f	f	PROPN
ejpam-540	219	3	∈a	∈a	NUM
ejpam-540	219	4	,	,	PUNCT
ejpam-540	219	5	z2	z2	PROPN
ejpam-540	219	6	�	�	PROPN
ejpam-540	219	7	hl	hl	PROPN
ejpam-540	219	8	,	,	PUNCT
ejpam-540	219	9	m	m	PROPN
ejpam-540	219	10	�	�	PROPN
ejpam-540	219	11	a1	a1	NOUN
ejpam-540	219	12	;	;	PUNCT
ejpam-540	219	13	b1	b1	PROPN
ejpam-540	219	14	�	�	PROPN
ejpam-540	219	15	f	f	PROPN
ejpam-540	219	16	(	(	PUNCT
ejpam-540	219	17	z	z	NOUN
ejpam-540	219	18	)	)	PUNCT
ejpam-540	219	19	�	�	PROPN
ejpam-540	219	20	′	′	PROPN
ejpam-540	219	21	�	�	PROPN
ejpam-540	219	22	hl	hl	PROPN
ejpam-540	219	23	,	,	PUNCT
ejpam-540	219	24	m	m	PROPN
ejpam-540	219	25	�	�	PROPN
ejpam-540	219	26	a1	a1	NOUN
ejpam-540	219	27	;	;	PUNCT
ejpam-540	219	28	b1	b1	PROPN
ejpam-540	219	29	�	�	PROPN
ejpam-540	219	30	f	f	PROPN
ejpam-540	219	31	(	(	PUNCT
ejpam-540	219	32	z	z	NOUN
ejpam-540	219	33	)	)	PUNCT
ejpam-540	219	34	�	�	PROPN
ejpam-540	219	35	2	2	NUM
ejpam-540	219	36	∈	∈	NOUN
ejpam-540	219	37	h	h	NOUN
ejpam-540	220	1	[	[	X
ejpam-540	220	2	1,1]∩q	1,1]∩q	NUM
ejpam-540	220	3	,	,	PUNCT
ejpam-540	220	4	z2	z2	PROPN
ejpam-540	220	5	�	�	PROPN
ejpam-540	220	6	hl	hl	PROPN
ejpam-540	220	7	,	,	PUNCT
ejpam-540	220	8	m	m	PROPN
ejpam-540	220	9	�	�	PROPN
ejpam-540	220	10	a1	a1	NOUN
ejpam-540	220	11	;	;	PUNCT
ejpam-540	220	12	b1	b1	PROPN
ejpam-540	220	13	�	�	PROPN
ejpam-540	220	14	f	f	PROPN
ejpam-540	220	15	(	(	PUNCT
ejpam-540	220	16	z	z	NOUN
ejpam-540	220	17	)	)	PUNCT
ejpam-540	220	18	�	�	PROPN
ejpam-540	220	19	′	′	PROPN
ejpam-540	220	20	�	�	PROPN
ejpam-540	220	21	hl	hl	PROPN
ejpam-540	220	22	,	,	PUNCT
ejpam-540	220	23	m	m	PROPN
ejpam-540	220	24	�	�	PROPN
ejpam-540	220	25	a1	a1	NOUN
ejpam-540	220	26	;	;	PUNCT
ejpam-540	220	27	b1	b1	PROPN
ejpam-540	220	28	�	�	PROPN
ejpam-540	220	29	f	f	PROPN
ejpam-540	220	30	(	(	PUNCT
ejpam-540	220	31	z	z	NOUN
ejpam-540	220	32	)	)	PUNCT
ejpam-540	220	33	�	�	PROPN
ejpam-540	220	34	2	2	NUM
ejpam-540	220	35	−	−	NOUN
ejpam-540	220	36	γz2	γz2	PROPN
ejpam-540	220	37	z	z	PROPN
ejpam-540	220	38	�	�	PROPN
ejpam-540	220	39	hl	hl	PROPN
ejpam-540	220	40	,	,	PUNCT
ejpam-540	220	41	m	m	PROPN
ejpam-540	220	42	�	�	PROPN
ejpam-540	220	43	a1	a1	NOUN
ejpam-540	220	44	;	;	PUNCT
ejpam-540	220	45	b1	b1	PROPN
ejpam-540	220	46	�	�	PROPN
ejpam-540	220	47	f	f	PROPN
ejpam-540	220	48	(	(	PUNCT
ejpam-540	220	49	z	z	PROPN
ejpam-540	220	50	)	)	PUNCT
ejpam-540	220	51	�	�	PROPN
ejpam-540	220	52	!	!	PUNCT
ejpam-540	221	1	′′	′′	PROPN
ejpam-540	221	2	is	be	AUX
ejpam-540	221	3	univalent	univalent	ADJ
ejpam-540	221	4	in	in	ADP
ejpam-540	221	5	u	u	PROPN
ejpam-540	221	6	,	,	PUNCT
ejpam-540	221	7	and	and	CCONJ
ejpam-540	221	8	the	the	DET
ejpam-540	221	9	following	follow	VERB
ejpam-540	221	10	superordination	superordination	NOUN
ejpam-540	221	11	condition	condition	NOUN
ejpam-540	221	12	q	q	X
ejpam-540	222	1	(	(	PUNCT
ejpam-540	222	2	z	z	NOUN
ejpam-540	222	3	)	)	PUNCT
ejpam-540	223	1	+	+	NUM
ejpam-540	223	2	γzq	γzq	X
ejpam-540	223	3	′	′	NUM
ejpam-540	224	1	(	(	PUNCT
ejpam-540	224	2	z)≺	z)≺	PROPN
ejpam-540	224	3	z2	z2	PROPN
ejpam-540	224	4	�	�	PROPN
ejpam-540	224	5	hl	hl	PROPN
ejpam-540	224	6	,	,	PUNCT
ejpam-540	224	7	m	m	PROPN
ejpam-540	224	8	�	�	PROPN
ejpam-540	224	9	a1	a1	NOUN
ejpam-540	224	10	;	;	PUNCT
ejpam-540	224	11	b1	b1	PROPN
ejpam-540	224	12	�	�	PROPN
ejpam-540	224	13	f	f	PROPN
ejpam-540	224	14	(	(	PUNCT
ejpam-540	224	15	z	z	NOUN
ejpam-540	224	16	)	)	PUNCT
ejpam-540	224	17	�	�	PROPN
ejpam-540	224	18	′	′	PROPN
ejpam-540	224	19	�	�	PROPN
ejpam-540	224	20	hl	hl	PROPN
ejpam-540	224	21	,	,	PUNCT
ejpam-540	224	22	m	m	PROPN
ejpam-540	224	23	�	�	PROPN
ejpam-540	224	24	a1	a1	NOUN
ejpam-540	224	25	;	;	PUNCT
ejpam-540	224	26	b1	b1	PROPN
ejpam-540	224	27	�	�	PROPN
ejpam-540	224	28	f	f	PROPN
ejpam-540	224	29	(	(	PUNCT
ejpam-540	224	30	z	z	NOUN
ejpam-540	224	31	)	)	PUNCT
ejpam-540	224	32	�	�	PROPN
ejpam-540	224	33	2	2	NUM
ejpam-540	224	34	−	−	NOUN
ejpam-540	224	35	γz2	γz2	PROPN
ejpam-540	224	36	z	z	PROPN
ejpam-540	224	37	�	�	PROPN
ejpam-540	224	38	hl	hl	PROPN
ejpam-540	224	39	,	,	PUNCT
ejpam-540	224	40	m	m	PROPN
ejpam-540	224	41	�	�	PROPN
ejpam-540	224	42	a1	a1	NOUN
ejpam-540	224	43	;	;	PUNCT
ejpam-540	224	44	b1	b1	PROPN
ejpam-540	224	45	�	�	PROPN
ejpam-540	224	46	f	f	PROPN
ejpam-540	224	47	(	(	PUNCT
ejpam-540	224	48	z	z	PROPN
ejpam-540	224	49	)	)	PUNCT
ejpam-540	224	50	�	�	PROPN
ejpam-540	224	51	!	!	PUNCT
ejpam-540	225	1	′′	′′	PROPN
ejpam-540	225	2	holds	hold	VERB
ejpam-540	225	3	,	,	PUNCT
ejpam-540	225	4	then	then	ADV
ejpam-540	225	5	q	q	X
ejpam-540	225	6	(	(	PUNCT
ejpam-540	225	7	z	z	NOUN
ejpam-540	225	8	)	)	PUNCT
ejpam-540	225	9	≺	≺	NOUN
ejpam-540	225	10	z2	z2	PROPN
ejpam-540	225	11	�	�	PROPN
ejpam-540	225	12	hl	hl	PROPN
ejpam-540	225	13	,	,	PUNCT
ejpam-540	225	14	m	m	PROPN
ejpam-540	225	15	�	�	PROPN
ejpam-540	225	16	a1	a1	NOUN
ejpam-540	225	17	;	;	PUNCT
ejpam-540	225	18	b1	b1	PROPN
ejpam-540	225	19	�	�	PROPN
ejpam-540	225	20	f	f	PROPN
ejpam-540	225	21	(	(	PUNCT
ejpam-540	225	22	z	z	NOUN
ejpam-540	225	23	)	)	PUNCT
ejpam-540	225	24	�	�	PROPN
ejpam-540	225	25	′	′	PROPN
ejpam-540	225	26	�	�	PROPN
ejpam-540	225	27	hl	hl	PROPN
ejpam-540	225	28	,	,	PUNCT
ejpam-540	225	29	m	m	PROPN
ejpam-540	225	30	�	�	PROPN
ejpam-540	225	31	a1	a1	NOUN
ejpam-540	225	32	;	;	PUNCT
ejpam-540	225	33	b1	b1	PROPN
ejpam-540	225	34	�	�	PROPN
ejpam-540	225	35	f	f	PROPN
ejpam-540	225	36	(	(	PUNCT
ejpam-540	225	37	z	z	NOUN
ejpam-540	225	38	)	)	PUNCT
ejpam-540	225	39	�	�	PROPN
ejpam-540	225	40	2	2	NUM
ejpam-540	225	41	and	and	CCONJ
ejpam-540	225	42	q	q	PROPN
ejpam-540	225	43	(	(	PUNCT
ejpam-540	225	44	z	z	NOUN
ejpam-540	225	45	)	)	PUNCT
ejpam-540	225	46	is	be	AUX
ejpam-540	225	47	the	the	DET
ejpam-540	225	48	best	good	ADJ
ejpam-540	225	49	subordinant	subordinant	NOUN
ejpam-540	225	50	.	.	PUNCT
ejpam-540	226	1	taking	take	VERB
ejpam-540	226	2	g	g	PRON
ejpam-540	226	3	(	(	PUNCT
ejpam-540	226	4	z	z	NOUN
ejpam-540	226	5	)	)	PUNCT
ejpam-540	226	6	of	of	ADP
ejpam-540	226	7	the	the	DET
ejpam-540	226	8	form	form	NOUN
ejpam-540	226	9	(	(	PUNCT
ejpam-540	226	10	9	9	NUM
ejpam-540	226	11	)	)	PUNCT
ejpam-540	226	12	in	in	ADP
ejpam-540	226	13	theorem	theorem	NOUN
ejpam-540	226	14	2	2	NUM
ejpam-540	226	15	,	,	PUNCT
ejpam-540	226	16	we	we	PRON
ejpam-540	226	17	obtain	obtain	VERB
ejpam-540	226	18	the	the	DET
ejpam-540	226	19	following	follow	VERB
ejpam-540	226	20	superordination	superordination	NOUN
ejpam-540	226	21	result	result	NOUN
ejpam-540	226	22	for	for	ADP
ejpam-540	226	23	the	the	DET
ejpam-540	226	24	operator	operator	NOUN
ejpam-540	226	25	dn	dn	PROPN
ejpam-540	226	26	λ	λ	PROPN
ejpam-540	226	27	(	(	PUNCT
ejpam-540	226	28	a1	a1	NOUN
ejpam-540	226	29	;	;	PUNCT
ejpam-540	226	30	b1	b1	NOUN
ejpam-540	226	31	)	)	PUNCT
ejpam-540	226	32	.	.	PUNCT
ejpam-540	227	1	corollary	corollary	ADJ
ejpam-540	227	2	7	7	NUM
ejpam-540	227	3	.	.	PUNCT
ejpam-540	228	1	let	let	VERB
ejpam-540	228	2	q	q	NOUN
ejpam-540	228	3	(	(	PUNCT
ejpam-540	228	4	z	z	NOUN
ejpam-540	228	5	)	)	PUNCT
ejpam-540	228	6	be	be	AUX
ejpam-540	228	7	convex	convex	ADJ
ejpam-540	228	8	univalent	univalent	ADJ
ejpam-540	228	9	in	in	ADP
ejpam-540	228	10	u	u	NOUN
ejpam-540	228	11	with	with	ADP
ejpam-540	228	12	q	q	PROPN
ejpam-540	228	13	(	(	PUNCT
ejpam-540	228	14	0	0	NUM
ejpam-540	228	15	)	)	PUNCT
ejpam-540	228	16	=	=	SYM
ejpam-540	229	1	1	1	X
ejpam-540	229	2	.	.	PUNCT
ejpam-540	229	3	let	let	VERB
ejpam-540	229	4	γ	γ	X
ejpam-540	229	5	∈	∈	PROPN
ejpam-540	229	6	c	c	NOUN
ejpam-540	229	7	with	with	ADP
ejpam-540	229	8	ℜ	ℜ	PROPN
ejpam-540	229	9	�	�	PROPN
ejpam-540	229	10	γ	γ	X
ejpam-540	229	11	�	�	PROPN
ejpam-540	229	12	>	>	X
ejpam-540	229	13	0	0	PROPN
ejpam-540	229	14	.	.	PUNCT
ejpam-540	230	1	if	if	SCONJ
ejpam-540	230	2	f	f	PROPN
ejpam-540	230	3	,	,	PUNCT
ejpam-540	230	4	g	g	PROPN
ejpam-540	230	5	∈a	∈a	NUM
ejpam-540	230	6	,	,	PUNCT
ejpam-540	230	7	zdn+1	zdn+1	PROPN
ejpam-540	230	8	λ	λ	PROPN
ejpam-540	230	9	(	(	PUNCT
ejpam-540	230	10	a1	a1	NOUN
ejpam-540	230	11	;	;	PUNCT
ejpam-540	230	12	b1	b1	NOUN
ejpam-540	230	13	)	)	PUNCT
ejpam-540	230	14	f	f	PROPN
ejpam-540	230	15	(	(	PUNCT
ejpam-540	230	16	z	z	NOUN
ejpam-540	230	17	)	)	PUNCT
ejpam-540	230	18	�	�	PROPN
ejpam-540	230	19	dn	dn	PROPN
ejpam-540	230	20	λ	λ	PROPN
ejpam-540	230	21	(	(	PUNCT
ejpam-540	230	22	a1	a1	NOUN
ejpam-540	230	23	;	;	PUNCT
ejpam-540	230	24	b1	b1	NOUN
ejpam-540	230	25	)	)	PUNCT
ejpam-540	230	26	f	f	PROPN
ejpam-540	230	27	(	(	PUNCT
ejpam-540	230	28	z	z	NOUN
ejpam-540	230	29	)	)	PUNCT
ejpam-540	230	30	�	�	PROPN
ejpam-540	230	31	2	2	NUM
ejpam-540	230	32	∈	∈	NOUN
ejpam-540	230	33	h	h	NOUN
ejpam-540	231	1	[	[	X
ejpam-540	231	2	1,1]∩q	1,1]∩q	NUM
ejpam-540	231	3	,	,	PUNCT
ejpam-540	231	4	�	�	PROPN
ejpam-540	231	5	1	1	NUM
ejpam-540	231	6	+	+	NUM
ejpam-540	231	7	γ	γ	PROPN
ejpam-540	231	8	λ	λ	X
ejpam-540	231	9	�	�	PROPN
ejpam-540	231	10	zdn+1	zdn+1	PROPN
ejpam-540	231	11	λ	λ	PROPN
ejpam-540	231	12	(	(	PUNCT
ejpam-540	231	13	a1	a1	NOUN
ejpam-540	231	14	;	;	PUNCT
ejpam-540	231	15	b1	b1	NOUN
ejpam-540	231	16	)	)	PUNCT
ejpam-540	231	17	f	f	PROPN
ejpam-540	231	18	(	(	PUNCT
ejpam-540	231	19	z	z	NOUN
ejpam-540	231	20	)	)	PUNCT
ejpam-540	231	21	�	�	PROPN
ejpam-540	231	22	dn	dn	PROPN
ejpam-540	231	23	λ	λ	PROPN
ejpam-540	231	24	(	(	PUNCT
ejpam-540	231	25	a1	a1	NOUN
ejpam-540	231	26	;	;	PUNCT
ejpam-540	231	27	b1	b1	NOUN
ejpam-540	231	28	)	)	PUNCT
ejpam-540	231	29	f	f	PROPN
ejpam-540	231	30	(	(	PUNCT
ejpam-540	231	31	z	z	NOUN
ejpam-540	231	32	)	)	PUNCT
ejpam-540	231	33	�	�	PROPN
ejpam-540	231	34	2	2	NUM
ejpam-540	231	35	+	+	CCONJ
ejpam-540	231	36	γ	γ	X
ejpam-540	231	37	λ	λ	X
ejpam-540	231	38			NOUN
ejpam-540	231	39			ADP
ejpam-540	231	40			ADJ
ejpam-540	231	41	zdn+2	zdn+2	PROPN
ejpam-540	231	42	λ	λ	PROPN
ejpam-540	231	43	(	(	PUNCT
ejpam-540	231	44	a1	a1	NOUN
ejpam-540	231	45	;	;	PUNCT
ejpam-540	231	46	b1	b1	NOUN
ejpam-540	231	47	)	)	PUNCT
ejpam-540	231	48	f	f	PROPN
ejpam-540	231	49	(	(	PUNCT
ejpam-540	231	50	z	z	NOUN
ejpam-540	231	51	)	)	PUNCT
ejpam-540	231	52	�	�	PROPN
ejpam-540	231	53	dn	dn	PROPN
ejpam-540	231	54	λ	λ	PROPN
ejpam-540	231	55	(	(	PUNCT
ejpam-540	231	56	a1	a1	NOUN
ejpam-540	231	57	;	;	PUNCT
ejpam-540	232	1	b1	b1	NOUN
ejpam-540	232	2	)	)	PUNCT
ejpam-540	232	3	f	f	PROPN
ejpam-540	232	4	(	(	PUNCT
ejpam-540	232	5	z	z	NOUN
ejpam-540	232	6	)	)	PUNCT
ejpam-540	232	7	�	�	PROPN
ejpam-540	232	8	2	2	NUM
ejpam-540	232	9	−	−	NOUN
ejpam-540	232	10	2	2	NUM
ejpam-540	232	11	z	z	NOUN
ejpam-540	232	12	�	�	PROPN
ejpam-540	232	13	dn+1	dn+1	ADP
ejpam-540	232	14	λ	λ	X
ejpam-540	232	15	(	(	PUNCT
ejpam-540	232	16	a1	a1	NOUN
ejpam-540	232	17	;	;	PUNCT
ejpam-540	232	18	b1	b1	NOUN
ejpam-540	232	19	)	)	PUNCT
ejpam-540	232	20	f	f	PROPN
ejpam-540	232	21	(	(	PUNCT
ejpam-540	232	22	z	z	NOUN
ejpam-540	232	23	)	)	PUNCT
ejpam-540	232	24	�	�	PROPN
ejpam-540	232	25	2	2	NUM
ejpam-540	232	26	�	�	PROPN
ejpam-540	232	27	dn	dn	PROPN
ejpam-540	232	28	λ	λ	PROPN
ejpam-540	232	29	(	(	PUNCT
ejpam-540	232	30	a1	a1	NOUN
ejpam-540	232	31	;	;	PUNCT
ejpam-540	232	32	b1	b1	NOUN
ejpam-540	232	33	)	)	PUNCT
ejpam-540	232	34	f	f	PROPN
ejpam-540	232	35	(	(	PUNCT
ejpam-540	232	36	z	z	NOUN
ejpam-540	232	37	)	)	PUNCT
ejpam-540	232	38	�	�	PROPN
ejpam-540	232	39	3	3	NUM
ejpam-540	232	40			PROPN
ejpam-540	232	41			PROPN
ejpam-540	232	42			NOUN
ejpam-540	232	43	m.	m.	NOUN
ejpam-540	232	44	aouf	aouf	PROPN
ejpam-540	232	45	,	,	PUNCT
ejpam-540	232	46	t.	t.	PROPN
ejpam-540	232	47	seoudy	seoudy	PROPN
ejpam-540	232	48	/	/	SYM
ejpam-540	232	49	eur	eur	PROPN
ejpam-540	232	50	.	.	PUNCT
ejpam-540	233	1	j.	j.	PROPN
ejpam-540	233	2	pure	pure	PROPN
ejpam-540	233	3	appl	appl	PROPN
ejpam-540	233	4	.	.	PROPN
ejpam-540	233	5	math	math	PROPN
ejpam-540	233	6	,	,	PUNCT
ejpam-540	233	7	4	4	NUM
ejpam-540	233	8	(	(	PUNCT
ejpam-540	233	9	2011	2011	NUM
ejpam-540	233	10	)	)	PUNCT
ejpam-540	233	11	,	,	PUNCT
ejpam-540	233	12	1	1	NUM
ejpam-540	233	13	-	-	SYM
ejpam-540	233	14	13	13	NUM
ejpam-540	233	15	10	10	NUM
ejpam-540	233	16	is	be	AUX
ejpam-540	233	17	univalent	univalent	ADJ
ejpam-540	233	18	in	in	ADP
ejpam-540	233	19	u	u	PROPN
ejpam-540	233	20	,	,	PUNCT
ejpam-540	233	21	and	and	CCONJ
ejpam-540	233	22	the	the	DET
ejpam-540	233	23	following	follow	VERB
ejpam-540	233	24	superordination	superordination	NOUN
ejpam-540	233	25	condition	condition	NOUN
ejpam-540	233	26	q	q	X
ejpam-540	234	1	(	(	PUNCT
ejpam-540	234	2	z)+γzq	z)+γzq	NOUN
ejpam-540	234	3	′	′	NUM
ejpam-540	234	4	(	(	PUNCT
ejpam-540	234	5	z	z	NOUN
ejpam-540	234	6	)	)	PUNCT
ejpam-540	234	7	≺	≺	NOUN
ejpam-540	234	8	�	�	PROPN
ejpam-540	234	9	1	1	NUM
ejpam-540	234	10	+	+	NUM
ejpam-540	234	11	γ	γ	PROPN
ejpam-540	234	12	λ	λ	X
ejpam-540	234	13	�	�	PROPN
ejpam-540	234	14	zdn+1	zdn+1	PROPN
ejpam-540	234	15	λ	λ	PROPN
ejpam-540	234	16	(	(	PUNCT
ejpam-540	234	17	a1	a1	NOUN
ejpam-540	234	18	;	;	PUNCT
ejpam-540	234	19	b1	b1	NOUN
ejpam-540	234	20	)	)	PUNCT
ejpam-540	234	21	f	f	PROPN
ejpam-540	234	22	(	(	PUNCT
ejpam-540	234	23	z	z	NOUN
ejpam-540	234	24	)	)	PUNCT
ejpam-540	234	25	�	�	PROPN
ejpam-540	234	26	dn	dn	PROPN
ejpam-540	234	27	λ	λ	PROPN
ejpam-540	234	28	(	(	PUNCT
ejpam-540	234	29	a1	a1	NOUN
ejpam-540	234	30	;	;	PUNCT
ejpam-540	234	31	b1	b1	NOUN
ejpam-540	234	32	)	)	PUNCT
ejpam-540	234	33	f	f	PROPN
ejpam-540	234	34	(	(	PUNCT
ejpam-540	234	35	z	z	NOUN
ejpam-540	234	36	)	)	PUNCT
ejpam-540	234	37	�	�	PROPN
ejpam-540	234	38	2	2	NUM
ejpam-540	234	39	+	+	CCONJ
ejpam-540	234	40	γ	γ	X
ejpam-540	234	41	λ	λ	X
ejpam-540	234	42			NOUN
ejpam-540	234	43			ADP
ejpam-540	234	44			ADJ
ejpam-540	234	45	zdn+2	zdn+2	PROPN
ejpam-540	234	46	λ	λ	PROPN
ejpam-540	234	47	(	(	PUNCT
ejpam-540	234	48	a1	a1	NOUN
ejpam-540	234	49	;	;	PUNCT
ejpam-540	234	50	b1	b1	NOUN
ejpam-540	234	51	)	)	PUNCT
ejpam-540	234	52	f	f	PROPN
ejpam-540	234	53	(	(	PUNCT
ejpam-540	234	54	z	z	NOUN
ejpam-540	234	55	)	)	PUNCT
ejpam-540	234	56	�	�	PROPN
ejpam-540	234	57	dn	dn	PROPN
ejpam-540	234	58	λ	λ	PROPN
ejpam-540	234	59	(	(	PUNCT
ejpam-540	234	60	a1	a1	NOUN
ejpam-540	234	61	;	;	PUNCT
ejpam-540	235	1	b1	b1	NOUN
ejpam-540	235	2	)	)	PUNCT
ejpam-540	235	3	f	f	PROPN
ejpam-540	235	4	(	(	PUNCT
ejpam-540	235	5	z	z	NOUN
ejpam-540	235	6	)	)	PUNCT
ejpam-540	235	7	�	�	PROPN
ejpam-540	235	8	2	2	NUM
ejpam-540	235	9	−	−	NOUN
ejpam-540	235	10	2	2	NUM
ejpam-540	235	11	z	z	NOUN
ejpam-540	235	12	�	�	PROPN
ejpam-540	235	13	dn+1	dn+1	ADP
ejpam-540	235	14	λ	λ	X
ejpam-540	235	15	(	(	PUNCT
ejpam-540	235	16	a1	a1	NOUN
ejpam-540	235	17	;	;	PUNCT
ejpam-540	235	18	b1	b1	NOUN
ejpam-540	235	19	)	)	PUNCT
ejpam-540	235	20	f	f	PROPN
ejpam-540	235	21	(	(	PUNCT
ejpam-540	235	22	z	z	NOUN
ejpam-540	235	23	)	)	PUNCT
ejpam-540	235	24	�	�	PROPN
ejpam-540	235	25	2	2	NUM
ejpam-540	235	26	�	�	PROPN
ejpam-540	235	27	dn	dn	PROPN
ejpam-540	235	28	λ	λ	PROPN
ejpam-540	235	29	(	(	PUNCT
ejpam-540	235	30	a1	a1	NOUN
ejpam-540	235	31	;	;	PUNCT
ejpam-540	235	32	b1	b1	NOUN
ejpam-540	235	33	)	)	PUNCT
ejpam-540	235	34	f	f	PROPN
ejpam-540	235	35	(	(	PUNCT
ejpam-540	235	36	z	z	NOUN
ejpam-540	235	37	)	)	PUNCT
ejpam-540	235	38	�	�	PROPN
ejpam-540	235	39	3	3	NUM
ejpam-540	235	40			PROPN
ejpam-540	235	41			PROPN
ejpam-540	235	42			NOUN
ejpam-540	235	43	holds	hold	VERB
ejpam-540	235	44	,	,	PUNCT
ejpam-540	235	45	then	then	ADV
ejpam-540	235	46	q	q	X
ejpam-540	235	47	(	(	PUNCT
ejpam-540	235	48	z	z	NOUN
ejpam-540	235	49	)	)	PUNCT
ejpam-540	235	50	≺	≺	NOUN
ejpam-540	235	51	zdn+1	zdn+1	VERB
ejpam-540	235	52	λ	λ	NOUN
ejpam-540	235	53	(	(	PUNCT
ejpam-540	235	54	a1	a1	NOUN
ejpam-540	235	55	;	;	PUNCT
ejpam-540	235	56	b1	b1	NOUN
ejpam-540	235	57	)	)	PUNCT
ejpam-540	235	58	f	f	PROPN
ejpam-540	235	59	(	(	PUNCT
ejpam-540	235	60	z	z	NOUN
ejpam-540	235	61	)	)	PUNCT
ejpam-540	235	62	�	�	PROPN
ejpam-540	235	63	dn	dn	PROPN
ejpam-540	235	64	λ	λ	PROPN
ejpam-540	235	65	(	(	PUNCT
ejpam-540	235	66	a1	a1	NOUN
ejpam-540	235	67	;	;	PUNCT
ejpam-540	236	1	b1	b1	NOUN
ejpam-540	236	2	)	)	PUNCT
ejpam-540	236	3	f	f	PROPN
ejpam-540	236	4	(	(	PUNCT
ejpam-540	236	5	z	z	NOUN
ejpam-540	236	6	)	)	PUNCT
ejpam-540	236	7	�	�	PROPN
ejpam-540	236	8	2	2	NUM
ejpam-540	236	9	and	and	CCONJ
ejpam-540	236	10	q	q	PROPN
ejpam-540	236	11	(	(	PUNCT
ejpam-540	236	12	z	z	NOUN
ejpam-540	236	13	)	)	PUNCT
ejpam-540	236	14	is	be	AUX
ejpam-540	236	15	the	the	DET
ejpam-540	236	16	best	good	ADJ
ejpam-540	236	17	subordinant	subordinant	NOUN
ejpam-540	236	18	.	.	PUNCT
ejpam-540	237	1	taking	take	VERB
ejpam-540	237	2	n	n	NOUN
ejpam-540	237	3	=	=	SYM
ejpam-540	237	4	0,λ	0,λ	NOUN
ejpam-540	238	1	=	=	SYM
ejpam-540	238	2	1	1	NUM
ejpam-540	238	3	and	and	CCONJ
ejpam-540	238	4	g(z	g(z	PROPN
ejpam-540	238	5	)	)	PUNCT
ejpam-540	238	6	of	of	ADP
ejpam-540	238	7	the	the	DET
ejpam-540	238	8	form	form	NOUN
ejpam-540	238	9	(	(	PUNCT
ejpam-540	238	10	18	18	NUM
ejpam-540	238	11	)	)	PUNCT
ejpam-540	238	12	in	in	ADP
ejpam-540	238	13	theorem	theorem	NOUN
ejpam-540	238	14	2	2	NUM
ejpam-540	238	15	,	,	PUNCT
ejpam-540	238	16	we	we	PRON
ejpam-540	238	17	obtain	obtain	VERB
ejpam-540	238	18	the	the	DET
ejpam-540	238	19	following	follow	VERB
ejpam-540	238	20	supordination	supordination	NOUN
ejpam-540	238	21	result	result	VERB
ejpam-540	238	22	for	for	ADP
ejpam-540	238	23	the	the	DET
ejpam-540	238	24	multiplier	multipli	ADJ
ejpam-540	238	25	transformations	transformation	NOUN
ejpam-540	238	26	i(s	i(s	NOUN
ejpam-540	238	27	,	,	PUNCT
ejpam-540	238	28	l	l	NOUN
ejpam-540	238	29	)	)	PUNCT
ejpam-540	238	30	.	.	PUNCT
ejpam-540	239	1	corollary	corollary	ADJ
ejpam-540	239	2	8	8	NUM
ejpam-540	239	3	.	.	PUNCT
ejpam-540	240	1	let	let	VERB
ejpam-540	240	2	q	q	NOUN
ejpam-540	240	3	(	(	PUNCT
ejpam-540	240	4	z	z	NOUN
ejpam-540	240	5	)	)	PUNCT
ejpam-540	240	6	be	be	AUX
ejpam-540	240	7	convex	convex	ADJ
ejpam-540	240	8	univalent	univalent	ADJ
ejpam-540	240	9	in	in	ADP
ejpam-540	240	10	u	u	NOUN
ejpam-540	240	11	with	with	ADP
ejpam-540	240	12	q	q	PROPN
ejpam-540	240	13	(	(	PUNCT
ejpam-540	240	14	0	0	NUM
ejpam-540	240	15	)	)	PUNCT
ejpam-540	240	16	=	=	SYM
ejpam-540	241	1	1	1	X
ejpam-540	241	2	.	.	PUNCT
ejpam-540	241	3	let	let	VERB
ejpam-540	241	4	γ	γ	X
ejpam-540	241	5	∈	∈	PROPN
ejpam-540	241	6	c	c	NOUN
ejpam-540	241	7	with	with	ADP
ejpam-540	241	8	ℜ	ℜ	PROPN
ejpam-540	241	9	�	�	PROPN
ejpam-540	241	10	γ	γ	X
ejpam-540	241	11	�	�	PROPN
ejpam-540	241	12	>	>	X
ejpam-540	241	13	0	0	PROPN
ejpam-540	241	14	.	.	PUNCT
ejpam-540	242	1	if	if	SCONJ
ejpam-540	242	2	f	f	PROPN
ejpam-540	242	3	∈a	∈a	NUM
ejpam-540	242	4	,	,	PUNCT
ejpam-540	242	5	z2	z2	PROPN
ejpam-540	242	6	�	�	PROPN
ejpam-540	242	7	i(s	i(s	PROPN
ejpam-540	242	8	,	,	PUNCT
ejpam-540	242	9	l	l	NOUN
ejpam-540	242	10	)	)	PUNCT
ejpam-540	242	11	f	f	NOUN
ejpam-540	242	12	(	(	PUNCT
ejpam-540	242	13	z	z	NOUN
ejpam-540	242	14	)	)	PUNCT
ejpam-540	242	15	�	�	PROPN
ejpam-540	242	16	′	′	NUM
ejpam-540	242	17	�	�	PROPN
ejpam-540	242	18	i(s	i(s	PROPN
ejpam-540	242	19	,	,	PUNCT
ejpam-540	242	20	l	l	NOUN
ejpam-540	242	21	)	)	PUNCT
ejpam-540	242	22	f	f	NOUN
ejpam-540	242	23	(	(	PUNCT
ejpam-540	242	24	z	z	NOUN
ejpam-540	242	25	)	)	PUNCT
ejpam-540	242	26	�	�	PROPN
ejpam-540	242	27	2	2	NUM
ejpam-540	242	28	∈	∈	NOUN
ejpam-540	242	29	h	h	NOUN
ejpam-540	243	1	[	[	X
ejpam-540	243	2	1,1]∩q	1,1]∩q	NUM
ejpam-540	243	3	,	,	PUNCT
ejpam-540	243	4	z2	z2	PROPN
ejpam-540	243	5	�	�	PROPN
ejpam-540	243	6	i(s	i(s	PROPN
ejpam-540	243	7	,	,	PUNCT
ejpam-540	243	8	l	l	NOUN
ejpam-540	243	9	)	)	PUNCT
ejpam-540	243	10	f	f	NOUN
ejpam-540	243	11	(	(	PUNCT
ejpam-540	243	12	z	z	NOUN
ejpam-540	243	13	)	)	PUNCT
ejpam-540	243	14	�	�	PROPN
ejpam-540	243	15	′	′	NUM
ejpam-540	243	16	�	�	PROPN
ejpam-540	243	17	i(s	i(s	PROPN
ejpam-540	243	18	,	,	PUNCT
ejpam-540	243	19	l	l	NOUN
ejpam-540	243	20	)	)	PUNCT
ejpam-540	243	21	f	f	NOUN
ejpam-540	243	22	(	(	PUNCT
ejpam-540	243	23	z	z	NOUN
ejpam-540	243	24	)	)	PUNCT
ejpam-540	243	25	�	�	PROPN
ejpam-540	243	26	2	2	NUM
ejpam-540	243	27	−	−	NOUN
ejpam-540	243	28	γz2	γz2	PROPN
ejpam-540	243	29	�	�	PROPN
ejpam-540	243	30	z	z	PROPN
ejpam-540	243	31	i(s	i(s	PROPN
ejpam-540	243	32	,	,	PUNCT
ejpam-540	243	33	l	l	NOUN
ejpam-540	243	34	)	)	PUNCT
ejpam-540	243	35	f	f	NOUN
ejpam-540	243	36	(	(	PUNCT
ejpam-540	243	37	z	z	NOUN
ejpam-540	243	38	)	)	PUNCT
ejpam-540	243	39	�	�	PROPN
ejpam-540	243	40	′′	′′	PROPN
ejpam-540	243	41	is	be	AUX
ejpam-540	243	42	univalent	univalent	ADJ
ejpam-540	243	43	in	in	ADP
ejpam-540	243	44	u	u	PROPN
ejpam-540	243	45	,	,	PUNCT
ejpam-540	243	46	and	and	CCONJ
ejpam-540	243	47	the	the	DET
ejpam-540	243	48	following	follow	VERB
ejpam-540	243	49	superordination	superordination	NOUN
ejpam-540	243	50	condition	condition	NOUN
ejpam-540	243	51	q	q	X
ejpam-540	243	52	(	(	PUNCT
ejpam-540	243	53	z	z	NOUN
ejpam-540	243	54	)	)	PUNCT
ejpam-540	243	55	+	+	NUM
ejpam-540	243	56	γzq	γzq	X
ejpam-540	243	57	′	′	NUM
ejpam-540	244	1	(	(	PUNCT
ejpam-540	244	2	z)≺	z)≺	PROPN
ejpam-540	244	3	z2	z2	PROPN
ejpam-540	244	4	�	�	PROPN
ejpam-540	244	5	i(s	i(s	PROPN
ejpam-540	244	6	,	,	PUNCT
ejpam-540	244	7	l	l	NOUN
ejpam-540	244	8	)	)	PUNCT
ejpam-540	244	9	f	f	NOUN
ejpam-540	244	10	(	(	PUNCT
ejpam-540	244	11	z	z	NOUN
ejpam-540	244	12	)	)	PUNCT
ejpam-540	244	13	�	�	PROPN
ejpam-540	244	14	′	′	NUM
ejpam-540	244	15	�	�	PROPN
ejpam-540	244	16	i(s	i(s	PROPN
ejpam-540	244	17	,	,	PUNCT
ejpam-540	244	18	l	l	NOUN
ejpam-540	244	19	)	)	PUNCT
ejpam-540	244	20	f	f	NOUN
ejpam-540	244	21	(	(	PUNCT
ejpam-540	244	22	z	z	NOUN
ejpam-540	244	23	)	)	PUNCT
ejpam-540	244	24	�	�	PROPN
ejpam-540	244	25	2	2	NUM
ejpam-540	244	26	−	−	NOUN
ejpam-540	244	27	γz2	γz2	PROPN
ejpam-540	244	28	�	�	PROPN
ejpam-540	244	29	z	z	PROPN
ejpam-540	244	30	i(s	i(s	PROPN
ejpam-540	244	31	,	,	PUNCT
ejpam-540	244	32	l	l	NOUN
ejpam-540	244	33	)	)	PUNCT
ejpam-540	244	34	f	f	NOUN
ejpam-540	244	35	(	(	PUNCT
ejpam-540	244	36	z	z	NOUN
ejpam-540	244	37	)	)	PUNCT
ejpam-540	244	38	�	�	PROPN
ejpam-540	245	1	′′	′′	NOUN
ejpam-540	245	2	holds	hold	VERB
ejpam-540	245	3	,	,	PUNCT
ejpam-540	245	4	then	then	ADV
ejpam-540	245	5	q	q	X
ejpam-540	245	6	(	(	PUNCT
ejpam-540	245	7	z	z	NOUN
ejpam-540	245	8	)	)	PUNCT
ejpam-540	245	9	≺	≺	NOUN
ejpam-540	245	10	z2	z2	PROPN
ejpam-540	245	11	�	�	PROPN
ejpam-540	245	12	i(s	i(s	PROPN
ejpam-540	245	13	,	,	PUNCT
ejpam-540	245	14	l	l	NOUN
ejpam-540	245	15	)	)	PUNCT
ejpam-540	245	16	f	f	NOUN
ejpam-540	245	17	(	(	PUNCT
ejpam-540	245	18	z	z	NOUN
ejpam-540	245	19	)	)	PUNCT
ejpam-540	245	20	�	�	PROPN
ejpam-540	245	21	′	′	NUM
ejpam-540	245	22	�	�	PROPN
ejpam-540	245	23	i(s	i(s	PROPN
ejpam-540	245	24	,	,	PUNCT
ejpam-540	245	25	l	l	NOUN
ejpam-540	245	26	)	)	PUNCT
ejpam-540	245	27	f	f	NOUN
ejpam-540	245	28	(	(	PUNCT
ejpam-540	245	29	z	z	NOUN
ejpam-540	245	30	)	)	PUNCT
ejpam-540	245	31	�	�	PROPN
ejpam-540	245	32	2	2	NUM
ejpam-540	245	33	and	and	CCONJ
ejpam-540	245	34	q	q	PROPN
ejpam-540	245	35	(	(	PUNCT
ejpam-540	245	36	z	z	NOUN
ejpam-540	245	37	)	)	PUNCT
ejpam-540	245	38	is	be	AUX
ejpam-540	245	39	the	the	DET
ejpam-540	245	40	best	good	ADJ
ejpam-540	245	41	subordinant	subordinant	NOUN
ejpam-540	245	42	.	.	PUNCT
ejpam-540	246	1	remark	remark	PROPN
ejpam-540	246	2	6	6	NUM
ejpam-540	246	3	.	.	PUNCT
ejpam-540	247	1	taking	take	VERB
ejpam-540	247	2	n=	n=	ADV
ejpam-540	247	3	0,λ=	0,λ=	NOUN
ejpam-540	247	4	1	1	NUM
ejpam-540	247	5	and	and	CCONJ
ejpam-540	247	6	g(z	g(z	ADJ
ejpam-540	247	7	)	)	PUNCT
ejpam-540	248	1	=	=	SYM
ejpam-540	248	2	z	z	NOUN
ejpam-540	249	1	1−	1−	NUM
ejpam-540	249	2	z	z	NOUN
ejpam-540	249	3	in	in	ADP
ejpam-540	249	4	theorem	theorem	NOUN
ejpam-540	249	5	2	2	NUM
ejpam-540	249	6	,	,	PUNCT
ejpam-540	249	7	we	we	PRON
ejpam-540	249	8	obtain	obtain	VERB
ejpam-540	249	9	the	the	DET
ejpam-540	249	10	superordination	superordination	NOUN
ejpam-540	249	11	result	result	NOUN
ejpam-540	249	12	of	of	ADP
ejpam-540	249	13	shanmugam	shanmugam	PROPN
ejpam-540	249	14	et	et	PROPN
ejpam-540	249	15	al	al	PROPN
ejpam-540	249	16	.	.	PUNCT
ejpam-540	250	1	[	[	X
ejpam-540	250	2	24	24	NUM
ejpam-540	250	3	,	,	PUNCT
ejpam-540	250	4	theorem	theorem	VERB
ejpam-540	250	5	3.5	3.5	NUM
ejpam-540	250	6	]	]	PUNCT
ejpam-540	250	7	.	.	PUNCT
ejpam-540	251	1	combining	combine	VERB
ejpam-540	251	2	theorem	theorem	ADJ
ejpam-540	251	3	1	1	NUM
ejpam-540	251	4	and	and	CCONJ
ejpam-540	251	5	theorem	theorem	VERB
ejpam-540	251	6	2	2	NUM
ejpam-540	251	7	,	,	PUNCT
ejpam-540	251	8	we	we	PRON
ejpam-540	251	9	get	get	VERB
ejpam-540	251	10	the	the	DET
ejpam-540	251	11	following	follow	VERB
ejpam-540	251	12	sandwich	sandwich	NOUN
ejpam-540	251	13	theorem	theorem	NOUN
ejpam-540	251	14	for	for	ADP
ejpam-540	251	15	the	the	DET
ejpam-540	251	16	linear	linear	ADJ
ejpam-540	251	17	operator	operator	NOUN
ejpam-540	251	18	dn	dn	PROPN
ejpam-540	251	19	λ	λ	PROPN
ejpam-540	251	20	(	(	PUNCT
ejpam-540	251	21	f	f	PROPN
ejpam-540	251	22	∗	∗	VERB
ejpam-540	251	23	g	g	NOUN
ejpam-540	251	24	)	)	PUNCT
ejpam-540	251	25	.	.	PUNCT
ejpam-540	252	1	theorem	theorem	NOUN
ejpam-540	252	2	3	3	X
ejpam-540	252	3	.	.	PUNCT
ejpam-540	253	1	let	let	VERB
ejpam-540	253	2	q1	q1	PROPN
ejpam-540	253	3	(	(	PUNCT
ejpam-540	253	4	z	z	NOUN
ejpam-540	253	5	)	)	PUNCT
ejpam-540	253	6	be	be	AUX
ejpam-540	253	7	convex	convex	ADJ
ejpam-540	253	8	univalent	univalent	ADJ
ejpam-540	253	9	in	in	ADP
ejpam-540	253	10	u	u	NOUN
ejpam-540	253	11	with	with	ADP
ejpam-540	253	12	q1	q1	PROPN
ejpam-540	253	13	(	(	PUNCT
ejpam-540	253	14	0	0	NUM
ejpam-540	253	15	)	)	PUNCT
ejpam-540	254	1	=	=	SYM
ejpam-540	254	2	1	1	NUM
ejpam-540	254	3	,	,	PUNCT
ejpam-540	254	4	γ	γ	PROPN
ejpam-540	254	5	∈	∈	PROPN
ejpam-540	254	6	c	c	NOUN
ejpam-540	254	7	with	with	ADP
ejpam-540	254	8	ℜ	ℜ	PROPN
ejpam-540	254	9	�	�	PROPN
ejpam-540	254	10	γ	γ	X
ejpam-540	254	11	�	�	PROPN
ejpam-540	254	12	>	>	PUNCT
ejpam-540	254	13	0,q2	0,q2	PROPN
ejpam-540	255	1	(	(	PUNCT
ejpam-540	255	2	z	z	AUX
ejpam-540	255	3	)	)	PUNCT
ejpam-540	255	4	be	be	AUX
ejpam-540	255	5	univalent	univalent	ADJ
ejpam-540	255	6	in	in	ADP
ejpam-540	255	7	u	u	NOUN
ejpam-540	255	8	with	with	ADP
ejpam-540	255	9	q2	q2	NOUN
ejpam-540	255	10	(	(	PUNCT
ejpam-540	255	11	0	0	NUM
ejpam-540	255	12	)	)	PUNCT
ejpam-540	255	13	=	=	SYM
ejpam-540	255	14	1	1	NUM
ejpam-540	255	15	,	,	PUNCT
ejpam-540	255	16	and	and	CCONJ
ejpam-540	255	17	satisfies	satisfie	NOUN
ejpam-540	255	18	(	(	PUNCT
ejpam-540	255	19	15	15	NUM
ejpam-540	255	20	)	)	PUNCT
ejpam-540	255	21	.	.	PUNCT
ejpam-540	256	1	if	if	SCONJ
ejpam-540	256	2	f	f	PROPN
ejpam-540	256	3	,	,	PUNCT
ejpam-540	256	4	g	g	PROPN
ejpam-540	256	5	∈a	∈a	NUM
ejpam-540	256	6	,	,	PUNCT
ejpam-540	256	7	zdn+1	zdn+1	NOUN
ejpam-540	256	8	λ	λ	PROPN
ejpam-540	256	9	(	(	PUNCT
ejpam-540	256	10	f	f	PROPN
ejpam-540	256	11	∗	∗	PROPN
ejpam-540	256	12	g)(z	g)(z	PUNCT
ejpam-540	256	13	)	)	PUNCT
ejpam-540	256	14	�	�	PROPN
ejpam-540	256	15	dn	dn	PROPN
ejpam-540	256	16	λ	λ	PROPN
ejpam-540	256	17	(	(	PUNCT
ejpam-540	256	18	f	f	PROPN
ejpam-540	256	19	∗	∗	PROPN
ejpam-540	256	20	g)(z	g)(z	PUNCT
ejpam-540	256	21	)	)	PUNCT
ejpam-540	256	22	�	�	PROPN
ejpam-540	256	23	2	2	NUM
ejpam-540	256	24	∈	∈	NOUN
ejpam-540	256	25	h	h	NOUN
ejpam-540	257	1	[	[	X
ejpam-540	257	2	1,1]∩q	1,1]∩q	NUM
ejpam-540	257	3	,	,	PUNCT
ejpam-540	257	4	�	�	PROPN
ejpam-540	257	5	1	1	NUM
ejpam-540	257	6	+	+	NUM
ejpam-540	257	7	γ	γ	PROPN
ejpam-540	257	8	λ	λ	X
ejpam-540	257	9	�	�	PROPN
ejpam-540	257	10	zdn+1	zdn+1	PROPN
ejpam-540	257	11	λ	λ	PROPN
ejpam-540	257	12	(	(	PUNCT
ejpam-540	257	13	f	f	PROPN
ejpam-540	257	14	∗	∗	PROPN
ejpam-540	257	15	g)(z	g)(z	PUNCT
ejpam-540	257	16	)	)	PUNCT
ejpam-540	257	17	�	�	PROPN
ejpam-540	257	18	dn	dn	PROPN
ejpam-540	257	19	λ	λ	PROPN
ejpam-540	257	20	(	(	PUNCT
ejpam-540	257	21	f	f	PROPN
ejpam-540	257	22	∗	∗	PROPN
ejpam-540	257	23	g)(z	g)(z	PUNCT
ejpam-540	257	24	)	)	PUNCT
ejpam-540	257	25	�	�	NOUN
ejpam-540	257	26	2	2	NUM
ejpam-540	257	27	+	+	CCONJ
ejpam-540	257	28	γ	γ	X
ejpam-540	257	29	λ	λ	X
ejpam-540	257	30			NOUN
ejpam-540	257	31			ADP
ejpam-540	257	32			ADJ
ejpam-540	257	33	zdn+2	zdn+2	PROPN
ejpam-540	257	34	λ	λ	PROPN
ejpam-540	257	35	(	(	PUNCT
ejpam-540	257	36	f	f	PROPN
ejpam-540	257	37	∗	∗	PROPN
ejpam-540	257	38	g)(z	g)(z	PUNCT
ejpam-540	257	39	)	)	PUNCT
ejpam-540	257	40	�	�	PROPN
ejpam-540	257	41	dn	dn	PROPN
ejpam-540	257	42	λ	λ	PROPN
ejpam-540	257	43	(	(	PUNCT
ejpam-540	257	44	f	f	PROPN
ejpam-540	257	45	∗	∗	PROPN
ejpam-540	257	46	g)(z	g)(z	PUNCT
ejpam-540	257	47	)	)	PUNCT
ejpam-540	257	48	�	�	PROPN
ejpam-540	257	49	2	2	NUM
ejpam-540	257	50	−	−	NOUN
ejpam-540	257	51	2	2	NUM
ejpam-540	257	52	z	z	NOUN
ejpam-540	257	53	�	�	PROPN
ejpam-540	257	54	dn+1	dn+1	ADP
ejpam-540	257	55	λ	λ	PROPN
ejpam-540	257	56	(	(	PUNCT
ejpam-540	257	57	f	f	PROPN
ejpam-540	257	58	∗	∗	PROPN
ejpam-540	257	59	g)(z	g)(z	PUNCT
ejpam-540	257	60	)	)	PUNCT
ejpam-540	257	61	�	�	PROPN
ejpam-540	257	62	2	2	NUM
ejpam-540	257	63	�	�	PROPN
ejpam-540	257	64	dn	dn	PROPN
ejpam-540	257	65	λ	λ	PROPN
ejpam-540	257	66	(	(	PUNCT
ejpam-540	257	67	f	f	PROPN
ejpam-540	257	68	∗	∗	PROPN
ejpam-540	257	69	g)(z	g)(z	PUNCT
ejpam-540	257	70	)	)	PUNCT
ejpam-540	257	71	�	�	PROPN
ejpam-540	257	72	3	3	NUM
ejpam-540	257	73			PROPN
ejpam-540	257	74			PROPN
ejpam-540	257	75			NOUN
ejpam-540	257	76	m.	m.	NOUN
ejpam-540	257	77	aouf	aouf	PROPN
ejpam-540	257	78	,	,	PUNCT
ejpam-540	257	79	t.	t.	PROPN
ejpam-540	257	80	seoudy	seoudy	PROPN
ejpam-540	257	81	/	/	SYM
ejpam-540	257	82	eur	eur	PROPN
ejpam-540	257	83	.	.	PUNCT
ejpam-540	258	1	j.	j.	PROPN
ejpam-540	258	2	pure	pure	PROPN
ejpam-540	258	3	appl	appl	PROPN
ejpam-540	258	4	.	.	PROPN
ejpam-540	258	5	math	math	PROPN
ejpam-540	258	6	,	,	PUNCT
ejpam-540	258	7	4	4	NUM
ejpam-540	258	8	(	(	PUNCT
ejpam-540	258	9	2011	2011	NUM
ejpam-540	258	10	)	)	PUNCT
ejpam-540	258	11	,	,	PUNCT
ejpam-540	258	12	1	1	NUM
ejpam-540	258	13	-	-	SYM
ejpam-540	258	14	13	13	NUM
ejpam-540	258	15	11	11	NUM
ejpam-540	258	16	is	be	AUX
ejpam-540	258	17	univalent	univalent	ADJ
ejpam-540	258	18	in	in	ADP
ejpam-540	258	19	u	u	NOUN
ejpam-540	258	20	,	,	PUNCT
ejpam-540	258	21	and	and	CCONJ
ejpam-540	258	22	q1	q1	PROPN
ejpam-540	258	23	(	(	PUNCT
ejpam-540	258	24	z	z	NOUN
ejpam-540	258	25	)	)	PUNCT
ejpam-540	259	1	+	+	CCONJ
ejpam-540	259	2	γzq	γzq	X
ejpam-540	259	3	′	′	NUM
ejpam-540	259	4	1	1	NUM
ejpam-540	259	5	(	(	PUNCT
ejpam-540	259	6	z	z	NOUN
ejpam-540	259	7	)	)	PUNCT
ejpam-540	259	8	≺	≺	NOUN
ejpam-540	259	9	�	�	PROPN
ejpam-540	259	10	1	1	NUM
ejpam-540	259	11	+	+	NUM
ejpam-540	259	12	γ	γ	PROPN
ejpam-540	259	13	λ	λ	X
ejpam-540	259	14	�	�	PROPN
ejpam-540	259	15	zdn+1	zdn+1	PROPN
ejpam-540	259	16	λ	λ	PROPN
ejpam-540	259	17	(	(	PUNCT
ejpam-540	259	18	f	f	PROPN
ejpam-540	259	19	∗	∗	PROPN
ejpam-540	259	20	g)(z	g)(z	PUNCT
ejpam-540	259	21	)	)	PUNCT
ejpam-540	259	22	�	�	PROPN
ejpam-540	259	23	dn	dn	PROPN
ejpam-540	259	24	λ	λ	PROPN
ejpam-540	259	25	(	(	PUNCT
ejpam-540	259	26	f	f	PROPN
ejpam-540	259	27	∗	∗	PROPN
ejpam-540	259	28	g)(z	g)(z	PUNCT
ejpam-540	259	29	)	)	PUNCT
ejpam-540	259	30	�	�	NOUN
ejpam-540	259	31	2	2	NUM
ejpam-540	259	32	+	+	CCONJ
ejpam-540	259	33	γ	γ	X
ejpam-540	259	34	λ	λ	X
ejpam-540	259	35			NOUN
ejpam-540	259	36			ADP
ejpam-540	259	37			ADJ
ejpam-540	259	38	zdn+2	zdn+2	PROPN
ejpam-540	259	39	λ	λ	PROPN
ejpam-540	259	40	(	(	PUNCT
ejpam-540	259	41	f	f	PROPN
ejpam-540	259	42	∗	∗	PROPN
ejpam-540	259	43	g)(z	g)(z	PUNCT
ejpam-540	259	44	)	)	PUNCT
ejpam-540	259	45	�	�	PROPN
ejpam-540	259	46	dn	dn	PROPN
ejpam-540	259	47	λ	λ	PROPN
ejpam-540	259	48	(	(	PUNCT
ejpam-540	259	49	f	f	PROPN
ejpam-540	259	50	∗	∗	PROPN
ejpam-540	259	51	g)(z	g)(z	PUNCT
ejpam-540	259	52	)	)	PUNCT
ejpam-540	259	53	�	�	PROPN
ejpam-540	259	54	2	2	NUM
ejpam-540	259	55	−	−	NOUN
ejpam-540	259	56	2	2	NUM
ejpam-540	259	57	z	z	NOUN
ejpam-540	259	58	�	�	PROPN
ejpam-540	259	59	dn+1	dn+1	ADP
ejpam-540	259	60	λ	λ	PROPN
ejpam-540	259	61	(	(	PUNCT
ejpam-540	259	62	f	f	PROPN
ejpam-540	259	63	∗	∗	PROPN
ejpam-540	259	64	g)(z	g)(z	PUNCT
ejpam-540	259	65	)	)	PUNCT
ejpam-540	259	66	�	�	PROPN
ejpam-540	259	67	2	2	NUM
ejpam-540	259	68	�	�	PROPN
ejpam-540	259	69	dn	dn	PROPN
ejpam-540	259	70	λ	λ	PROPN
ejpam-540	259	71	(	(	PUNCT
ejpam-540	259	72	f	f	PROPN
ejpam-540	259	73	∗	∗	PROPN
ejpam-540	259	74	g)(z	g)(z	PUNCT
ejpam-540	259	75	)	)	PUNCT
ejpam-540	259	76	�	�	PROPN
ejpam-540	259	77	3	3	NUM
ejpam-540	259	78			PROPN
ejpam-540	259	79			PROPN
ejpam-540	259	80			NOUN
ejpam-540	259	81	≺	≺	NOUN
ejpam-540	259	82	q2	q2	NOUN
ejpam-540	259	83	(	(	PUNCT
ejpam-540	259	84	z	z	NOUN
ejpam-540	259	85	)	)	PUNCT
ejpam-540	260	1	+	+	CCONJ
ejpam-540	260	2	γzq	γzq	AUX
ejpam-540	260	3	′	′	NUM
ejpam-540	260	4	2	2	NUM
ejpam-540	260	5	(	(	PUNCT
ejpam-540	260	6	z	z	NOUN
ejpam-540	260	7	)	)	PUNCT
ejpam-540	260	8	holds	hold	NOUN
ejpam-540	260	9	,	,	PUNCT
ejpam-540	260	10	then	then	ADV
ejpam-540	260	11	q1	q1	PROPN
ejpam-540	260	12	(	(	PUNCT
ejpam-540	260	13	z	z	NOUN
ejpam-540	260	14	)	)	PUNCT
ejpam-540	260	15	≺	≺	NOUN
ejpam-540	260	16	zdn+1	zdn+1	VERB
ejpam-540	260	17	λ	λ	NOUN
ejpam-540	260	18	(	(	PUNCT
ejpam-540	260	19	f	f	PROPN
ejpam-540	260	20	∗	∗	PROPN
ejpam-540	260	21	g)(z	g)(z	PUNCT
ejpam-540	260	22	)	)	PUNCT
ejpam-540	260	23	�	�	PROPN
ejpam-540	260	24	dn	dn	PROPN
ejpam-540	260	25	λ	λ	PROPN
ejpam-540	260	26	(	(	PUNCT
ejpam-540	260	27	f	f	PROPN
ejpam-540	260	28	∗	∗	PROPN
ejpam-540	260	29	g)(z	g)(z	PUNCT
ejpam-540	260	30	)	)	PUNCT
ejpam-540	260	31	�	�	PROPN
ejpam-540	260	32	2	2	NUM
ejpam-540	260	33	≺	≺	NOUN
ejpam-540	260	34	q2	q2	NOUN
ejpam-540	260	35	(	(	PUNCT
ejpam-540	260	36	z	z	NOUN
ejpam-540	260	37	)	)	PUNCT
ejpam-540	260	38	and	and	CCONJ
ejpam-540	260	39	q1	q1	PROPN
ejpam-540	260	40	(	(	PUNCT
ejpam-540	260	41	z	z	NOUN
ejpam-540	260	42	)	)	PUNCT
ejpam-540	260	43	and	and	CCONJ
ejpam-540	260	44	q2	q2	NOUN
ejpam-540	260	45	(	(	PUNCT
ejpam-540	260	46	z	z	NOUN
ejpam-540	260	47	)	)	PUNCT
ejpam-540	260	48	are	be	AUX
ejpam-540	260	49	,	,	PUNCT
ejpam-540	260	50	respectively	respectively	ADV
ejpam-540	260	51	,	,	PUNCT
ejpam-540	260	52	the	the	DET
ejpam-540	260	53	best	good	ADJ
ejpam-540	260	54	subordinant	subordinant	NOUN
ejpam-540	260	55	and	and	CCONJ
ejpam-540	260	56	the	the	DET
ejpam-540	260	57	best	good	ADJ
ejpam-540	260	58	dominant	dominant	NOUN
ejpam-540	260	59	.	.	PUNCT
ejpam-540	261	1	taking	take	VERB
ejpam-540	261	2	qi(z	qi(z	NOUN
ejpam-540	261	3	)	)	PUNCT
ejpam-540	261	4	=	=	SYM
ejpam-540	262	1	1	1	NUM
ejpam-540	262	2	+	+	CCONJ
ejpam-540	262	3	aiz	aiz	X
ejpam-540	262	4	1	1	NUM
ejpam-540	262	5	+	+	NUM
ejpam-540	262	6	biz	biz	NOUN
ejpam-540	262	7	�	�	PROPN
ejpam-540	262	8	i	i	NOUN
ejpam-540	262	9	=	=	SYM
ejpam-540	262	10	1,2;−1≤	1,2;−1≤	PROPN
ejpam-540	262	11	b2	b2	NOUN
ejpam-540	262	12	≤	≤	PUNCT
ejpam-540	262	13	b1	b1	NOUN
ejpam-540	262	14	<	<	X
ejpam-540	262	15	a1	a1	NOUN
ejpam-540	262	16	≤	≤	PROPN
ejpam-540	262	17	a2	a2	PROPN
ejpam-540	262	18	≤	≤	ADV
ejpam-540	262	19	1	1	NUM
ejpam-540	262	20	�	�	PROPN
ejpam-540	262	21	in	in	ADP
ejpam-540	262	22	theorem	theorem	NOUN
ejpam-540	262	23	3	3	NUM
ejpam-540	262	24	,	,	PUNCT
ejpam-540	262	25	we	we	PRON
ejpam-540	262	26	have	have	VERB
ejpam-540	262	27	the	the	DET
ejpam-540	262	28	following	follow	VERB
ejpam-540	262	29	corollary	corollary	NOUN
ejpam-540	262	30	.	.	PUNCT
ejpam-540	263	1	corollary	corollary	ADJ
ejpam-540	263	2	9	9	NUM
ejpam-540	263	3	.	.	PUNCT
ejpam-540	264	1	let	let	VERB
ejpam-540	264	2	γ	γ	X
ejpam-540	264	3	∈	∈	PROPN
ejpam-540	264	4	c	c	NOUN
ejpam-540	264	5	with	with	ADP
ejpam-540	264	6	ℜ	ℜ	PROPN
ejpam-540	264	7	�	�	PROPN
ejpam-540	264	8	γ	γ	X
ejpam-540	264	9	�	�	PROPN
ejpam-540	264	10	>	>	X
ejpam-540	264	11	0	0	PROPN
ejpam-540	264	12	.	.	PUNCT
ejpam-540	265	1	if	if	SCONJ
ejpam-540	265	2	f	f	PROPN
ejpam-540	265	3	,	,	PUNCT
ejpam-540	265	4	g	g	PROPN
ejpam-540	265	5	∈a	∈a	NUM
ejpam-540	265	6	,	,	PUNCT
ejpam-540	265	7	zdn+1	zdn+1	NOUN
ejpam-540	265	8	λ	λ	PROPN
ejpam-540	265	9	(	(	PUNCT
ejpam-540	265	10	f	f	PROPN
ejpam-540	265	11	∗	∗	PROPN
ejpam-540	265	12	g)(z	g)(z	PUNCT
ejpam-540	265	13	)	)	PUNCT
ejpam-540	265	14	�	�	PROPN
ejpam-540	265	15	dn	dn	PROPN
ejpam-540	265	16	λ	λ	PROPN
ejpam-540	265	17	(	(	PUNCT
ejpam-540	265	18	f	f	PROPN
ejpam-540	265	19	∗	∗	PROPN
ejpam-540	265	20	g)(z	g)(z	PUNCT
ejpam-540	265	21	)	)	PUNCT
ejpam-540	265	22	�	�	PROPN
ejpam-540	265	23	2	2	NUM
ejpam-540	265	24	∈	∈	NOUN
ejpam-540	265	25	h	h	NOUN
ejpam-540	266	1	[	[	X
ejpam-540	266	2	1,1]∩q	1,1]∩q	NUM
ejpam-540	266	3	,	,	PUNCT
ejpam-540	266	4	�	�	PROPN
ejpam-540	266	5	1	1	NUM
ejpam-540	266	6	+	+	NUM
ejpam-540	266	7	γ	γ	PROPN
ejpam-540	266	8	λ	λ	X
ejpam-540	266	9	�	�	PROPN
ejpam-540	266	10	zdn+1	zdn+1	PROPN
ejpam-540	266	11	λ	λ	PROPN
ejpam-540	266	12	(	(	PUNCT
ejpam-540	266	13	f	f	PROPN
ejpam-540	266	14	∗	∗	PROPN
ejpam-540	266	15	g)(z	g)(z	PUNCT
ejpam-540	266	16	)	)	PUNCT
ejpam-540	266	17	�	�	PROPN
ejpam-540	266	18	dn	dn	PROPN
ejpam-540	266	19	λ	λ	PROPN
ejpam-540	266	20	(	(	PUNCT
ejpam-540	266	21	f	f	PROPN
ejpam-540	266	22	∗	∗	PROPN
ejpam-540	266	23	g)(z	g)(z	PUNCT
ejpam-540	266	24	)	)	PUNCT
ejpam-540	266	25	�	�	NOUN
ejpam-540	266	26	2	2	NUM
ejpam-540	266	27	+	+	CCONJ
ejpam-540	266	28	γ	γ	X
ejpam-540	266	29	λ	λ	X
ejpam-540	266	30			NOUN
ejpam-540	266	31			ADP
ejpam-540	266	32			ADJ
ejpam-540	266	33	zdn+2	zdn+2	PROPN
ejpam-540	266	34	λ	λ	PROPN
ejpam-540	266	35	(	(	PUNCT
ejpam-540	266	36	f	f	PROPN
ejpam-540	266	37	∗	∗	PROPN
ejpam-540	266	38	g)(z	g)(z	PUNCT
ejpam-540	266	39	)	)	PUNCT
ejpam-540	266	40	�	�	PROPN
ejpam-540	266	41	dn	dn	PROPN
ejpam-540	266	42	λ	λ	PROPN
ejpam-540	266	43	(	(	PUNCT
ejpam-540	266	44	f	f	PROPN
ejpam-540	266	45	∗	∗	PROPN
ejpam-540	266	46	g)(z	g)(z	PUNCT
ejpam-540	266	47	)	)	PUNCT
ejpam-540	266	48	�	�	PROPN
ejpam-540	266	49	2	2	NUM
ejpam-540	266	50	−	−	NOUN
ejpam-540	266	51	2	2	NUM
ejpam-540	266	52	z	z	NOUN
ejpam-540	266	53	�	�	PROPN
ejpam-540	266	54	dn+1	dn+1	ADP
ejpam-540	266	55	λ	λ	PROPN
ejpam-540	266	56	(	(	PUNCT
ejpam-540	266	57	f	f	PROPN
ejpam-540	266	58	∗	∗	PROPN
ejpam-540	266	59	g)(z	g)(z	PUNCT
ejpam-540	266	60	)	)	PUNCT
ejpam-540	266	61	�	�	PROPN
ejpam-540	266	62	2	2	NUM
ejpam-540	266	63	�	�	PROPN
ejpam-540	266	64	dn	dn	PROPN
ejpam-540	266	65	λ	λ	PROPN
ejpam-540	266	66	(	(	PUNCT
ejpam-540	266	67	f	f	PROPN
ejpam-540	266	68	∗	∗	PROPN
ejpam-540	266	69	g)(z	g)(z	PUNCT
ejpam-540	266	70	)	)	PUNCT
ejpam-540	266	71	�	�	PROPN
ejpam-540	266	72	3	3	NUM
ejpam-540	266	73			PROPN
ejpam-540	266	74			PROPN
ejpam-540	266	75			NOUN
ejpam-540	266	76	is	be	AUX
ejpam-540	266	77	univalent	univalent	ADJ
ejpam-540	266	78	in	in	ADP
ejpam-540	266	79	u	u	PROPN
ejpam-540	266	80	,	,	PUNCT
ejpam-540	266	81	and	and	CCONJ
ejpam-540	267	1	1	1	NUM
ejpam-540	267	2	+	+	NUM
ejpam-540	267	3	a1z	a1z	PROPN
ejpam-540	267	4	1	1	NUM
ejpam-540	267	5	+	+	CCONJ
ejpam-540	267	6	b1z	b1z	X
ejpam-540	267	7	+	+	CCONJ
ejpam-540	267	8	γ	γ	PROPN
ejpam-540	267	9	�	�	PROPN
ejpam-540	267	10	a1	a1	PROPN
ejpam-540	267	11	−	−	PROPN
ejpam-540	267	12	b1	b1	PROPN
ejpam-540	267	13	�	�	PROPN
ejpam-540	267	14	z	z	PROPN
ejpam-540	267	15	�	�	PROPN
ejpam-540	267	16	1	1	NUM
ejpam-540	267	17	+	+	CCONJ
ejpam-540	267	18	b1z	b1z	PRON
ejpam-540	267	19	�	�	NOUN
ejpam-540	267	20	2	2	NUM
ejpam-540	267	21	≺	≺	NOUN
ejpam-540	267	22	�	�	NOUN
ejpam-540	267	23	1	1	NUM
ejpam-540	267	24	+	+	NUM
ejpam-540	267	25	γ	γ	PROPN
ejpam-540	267	26	λ	λ	X
ejpam-540	267	27	�	�	PROPN
ejpam-540	267	28	zdn+1	zdn+1	PROPN
ejpam-540	267	29	λ	λ	PROPN
ejpam-540	267	30	(	(	PUNCT
ejpam-540	267	31	f	f	PROPN
ejpam-540	267	32	∗	∗	PROPN
ejpam-540	267	33	g)(z	g)(z	PUNCT
ejpam-540	267	34	)	)	PUNCT
ejpam-540	267	35	�	�	PROPN
ejpam-540	267	36	dn	dn	PROPN
ejpam-540	267	37	λ	λ	PROPN
ejpam-540	267	38	(	(	PUNCT
ejpam-540	267	39	f	f	PROPN
ejpam-540	267	40	∗	∗	PROPN
ejpam-540	267	41	g)(z	g)(z	PUNCT
ejpam-540	267	42	)	)	PUNCT
ejpam-540	267	43	�	�	NOUN
ejpam-540	267	44	2	2	NUM
ejpam-540	267	45	+	+	CCONJ
ejpam-540	267	46	γ	γ	X
ejpam-540	267	47	λ	λ	X
ejpam-540	267	48			NOUN
ejpam-540	267	49			ADP
ejpam-540	267	50			ADJ
ejpam-540	267	51	zdn+2	zdn+2	PROPN
ejpam-540	267	52	λ	λ	PROPN
ejpam-540	267	53	(	(	PUNCT
ejpam-540	267	54	f	f	PROPN
ejpam-540	267	55	∗	∗	PROPN
ejpam-540	267	56	g)(z	g)(z	PUNCT
ejpam-540	267	57	)	)	PUNCT
ejpam-540	267	58	�	�	PROPN
ejpam-540	267	59	dn	dn	PROPN
ejpam-540	267	60	λ	λ	PROPN
ejpam-540	267	61	(	(	PUNCT
ejpam-540	267	62	f	f	PROPN
ejpam-540	267	63	∗	∗	PROPN
ejpam-540	267	64	g)(z	g)(z	PUNCT
ejpam-540	267	65	)	)	PUNCT
ejpam-540	267	66	�	�	PROPN
ejpam-540	267	67	2	2	NUM
ejpam-540	267	68	−	−	NOUN
ejpam-540	267	69	2	2	NUM
ejpam-540	267	70	z	z	NOUN
ejpam-540	267	71	�	�	PROPN
ejpam-540	267	72	dn+1	dn+1	ADP
ejpam-540	267	73	λ	λ	PROPN
ejpam-540	267	74	(	(	PUNCT
ejpam-540	267	75	f	f	PROPN
ejpam-540	267	76	∗	∗	PROPN
ejpam-540	267	77	g)(z	g)(z	PUNCT
ejpam-540	267	78	)	)	PUNCT
ejpam-540	267	79	�	�	PROPN
ejpam-540	267	80	2	2	NUM
ejpam-540	267	81	�	�	PROPN
ejpam-540	267	82	dn	dn	PROPN
ejpam-540	267	83	λ	λ	PROPN
ejpam-540	267	84	(	(	PUNCT
ejpam-540	267	85	f	f	PROPN
ejpam-540	267	86	∗	∗	PROPN
ejpam-540	267	87	g)(z	g)(z	PUNCT
ejpam-540	267	88	)	)	PUNCT
ejpam-540	267	89	�	�	PROPN
ejpam-540	267	90	3	3	NUM
ejpam-540	267	91			PROPN
ejpam-540	267	92			PROPN
ejpam-540	267	93			NOUN
ejpam-540	267	94	≺	≺	NOUN
ejpam-540	267	95	1	1	NUM
ejpam-540	267	96	+	+	NUM
ejpam-540	267	97	a2z	a2z	PROPN
ejpam-540	267	98	1	1	NUM
ejpam-540	267	99	+	+	NUM
ejpam-540	267	100	b2z	b2z	NOUN
ejpam-540	267	101	+	+	CCONJ
ejpam-540	267	102	γ	γ	PROPN
ejpam-540	267	103	�	�	PROPN
ejpam-540	267	104	a2	a2	PROPN
ejpam-540	267	105	−	−	PROPN
ejpam-540	267	106	b2	b2	PROPN
ejpam-540	267	107	�	�	PROPN
ejpam-540	267	108	z	z	PROPN
ejpam-540	267	109	�	�	PROPN
ejpam-540	267	110	1	1	NUM
ejpam-540	267	111	+	+	CCONJ
ejpam-540	267	112	b2z	b2z	PROPN
ejpam-540	267	113	�	�	PROPN
ejpam-540	267	114	2	2	NUM
ejpam-540	267	115	holds	hold	NOUN
ejpam-540	267	116	,	,	PUNCT
ejpam-540	267	117	then	then	ADV
ejpam-540	267	118	1	1	NUM
ejpam-540	267	119	+	+	NUM
ejpam-540	267	120	a1z	a1z	PROPN
ejpam-540	267	121	1	1	NUM
ejpam-540	267	122	+	+	CCONJ
ejpam-540	267	123	b1z	b1z	VERB
ejpam-540	267	124	≺	≺	NOUN
ejpam-540	267	125	zdn+1	zdn+1	NOUN
ejpam-540	267	126	λ	λ	NOUN
ejpam-540	267	127	(	(	PUNCT
ejpam-540	267	128	f	f	PROPN
ejpam-540	267	129	∗	∗	PROPN
ejpam-540	267	130	g)(z	g)(z	PUNCT
ejpam-540	267	131	)	)	PUNCT
ejpam-540	267	132	�	�	PROPN
ejpam-540	267	133	dn	dn	PROPN
ejpam-540	267	134	λ	λ	PROPN
ejpam-540	267	135	(	(	PUNCT
ejpam-540	267	136	f	f	PROPN
ejpam-540	267	137	∗	∗	PROPN
ejpam-540	267	138	g)(z	g)(z	PUNCT
ejpam-540	267	139	)	)	PUNCT
ejpam-540	267	140	�	�	NOUN
ejpam-540	267	141	2	2	NUM
ejpam-540	267	142	≺	≺	NOUN
ejpam-540	267	143	1	1	NUM
ejpam-540	267	144	+	+	NUM
ejpam-540	267	145	a2z	a2z	PROPN
ejpam-540	267	146	1	1	NUM
ejpam-540	267	147	+	+	NUM
ejpam-540	267	148	b2z	b2z	NOUN
ejpam-540	267	149	and	and	CCONJ
ejpam-540	267	150	1	1	NUM
ejpam-540	267	151	+	+	NUM
ejpam-540	267	152	a1z	a1z	PROPN
ejpam-540	267	153	1	1	NUM
ejpam-540	267	154	+	+	CCONJ
ejpam-540	267	155	b1z	b1z	X
ejpam-540	267	156	and	and	CCONJ
ejpam-540	267	157	1+a2z	1+a2z	NUM
ejpam-540	267	158	1	1	NUM
ejpam-540	267	159	+	+	NUM
ejpam-540	267	160	b2z	b2z	NOUN
ejpam-540	267	161	are	be	AUX
ejpam-540	267	162	,	,	PUNCT
ejpam-540	267	163	respectively	respectively	ADV
ejpam-540	267	164	,	,	PUNCT
ejpam-540	267	165	the	the	DET
ejpam-540	267	166	best	good	ADJ
ejpam-540	267	167	subordinant	subordinant	NOUN
ejpam-540	267	168	and	and	CCONJ
ejpam-540	267	169	the	the	DET
ejpam-540	267	170	best	good	ADJ
ejpam-540	267	171	dominant	dominant	ADJ
ejpam-540	267	172	.	.	PUNCT
ejpam-540	268	1	references	reference	NOUN
ejpam-540	268	2	12	12	NUM
ejpam-540	268	3	remark	remark	NOUN
ejpam-540	268	4	7	7	NUM
ejpam-540	268	5	.	.	PUNCT
ejpam-540	268	6	taking	take	VERB
ejpam-540	268	7	g(z	g(z	PROPN
ejpam-540	268	8	)	)	PUNCT
ejpam-540	269	1	=	=	SYM
ejpam-540	269	2	z	z	NOUN
ejpam-540	269	3	1−	1−	NUM
ejpam-540	269	4	z	z	NOUN
ejpam-540	269	5	in	in	ADP
ejpam-540	269	6	theorem	theorem	NOUN
ejpam-540	269	7	3	3	NUM
ejpam-540	269	8	,	,	PUNCT
ejpam-540	269	9	we	we	PRON
ejpam-540	269	10	obtain	obtain	VERB
ejpam-540	269	11	sandwich	sandwich	NOUN
ejpam-540	269	12	result	result	NOUN
ejpam-540	269	13	of	of	ADP
ejpam-540	269	14	nechita	nechita	NOUN
ejpam-540	270	1	[	[	X
ejpam-540	270	2	18	18	NUM
ejpam-540	270	3	,	,	PUNCT
ejpam-540	270	4	theorem	theorem	VERB
ejpam-540	270	5	19	19	NUM
ejpam-540	270	6	]	]	PUNCT
ejpam-540	270	7	.	.	PUNCT
ejpam-540	271	1	remark	remark	PROPN
ejpam-540	271	2	8	8	NUM
ejpam-540	271	3	.	.	PUNCT
ejpam-540	272	1	taking	take	VERB
ejpam-540	272	2	λ	λ	PROPN
ejpam-540	272	3	=	=	SYM
ejpam-540	272	4	1	1	NUM
ejpam-540	272	5	and	and	CCONJ
ejpam-540	272	6	g(z	g(z	ADJ
ejpam-540	272	7	)	)	PUNCT
ejpam-540	273	1	=	=	SYM
ejpam-540	273	2	z	z	NOUN
ejpam-540	274	1	1−	1−	NUM
ejpam-540	274	2	z	z	NOUN
ejpam-540	274	3	in	in	ADP
ejpam-540	274	4	theorem	theorem	NOUN
ejpam-540	274	5	3	3	NUM
ejpam-540	274	6	,	,	PUNCT
ejpam-540	274	7	we	we	PRON
ejpam-540	274	8	obtain	obtain	VERB
ejpam-540	274	9	sandwich	sandwich	NOUN
ejpam-540	274	10	result	result	NOUN
ejpam-540	274	11	of	of	ADP
ejpam-540	274	12	shanmugam	shanmugam	PROPN
ejpam-540	274	13	et	et	PROPN
ejpam-540	274	14	al	al	PROPN
ejpam-540	274	15	.	.	PUNCT
ejpam-540	275	1	[	[	X
ejpam-540	275	2	24	24	NUM
ejpam-540	275	3	,	,	PUNCT
ejpam-540	275	4	theorem	theorem	VERB
ejpam-540	275	5	5.6	5.6	NUM
ejpam-540	275	6	]	]	PUNCT
ejpam-540	275	7	.	.	PUNCT
ejpam-540	276	1	remark	remark	PROPN
ejpam-540	276	2	9	9	NUM
ejpam-540	276	3	.	.	PUNCT
ejpam-540	277	1	combining	combine	VERB
ejpam-540	277	2	(	(	PUNCT
ejpam-540	277	3	i	i	NOUN
ejpam-540	277	4	)	)	PUNCT
ejpam-540	277	5	corollary	corollary	ADJ
ejpam-540	277	6	2	2	NUM
ejpam-540	277	7	and	and	CCONJ
ejpam-540	277	8	corollary	corollary	ADJ
ejpam-540	277	9	6	6	NUM
ejpam-540	277	10	;	;	PUNCT
ejpam-540	277	11	(	(	PUNCT
ejpam-540	277	12	ii	ii	NOUN
ejpam-540	277	13	)	)	PUNCT
ejpam-540	277	14	corollary	corollary	ADJ
ejpam-540	277	15	3	3	NUM
ejpam-540	277	16	and	and	CCONJ
ejpam-540	277	17	corollary	corollary	ADJ
ejpam-540	277	18	7	7	NUM
ejpam-540	277	19	;	;	PUNCT
ejpam-540	277	20	(	(	PUNCT
ejpam-540	277	21	iii	iii	X
ejpam-540	277	22	)	)	PUNCT
ejpam-540	277	23	corollary	corollary	ADJ
ejpam-540	277	24	4	4	NUM
ejpam-540	277	25	and	and	CCONJ
ejpam-540	277	26	corollary	corollary	ADJ
ejpam-540	277	27	8	8	NUM
ejpam-540	277	28	,	,	PUNCT
ejpam-540	277	29	we	we	PRON
ejpam-540	277	30	obtain	obtain	VERB
ejpam-540	277	31	similar	similar	ADJ
ejpam-540	277	32	sandwich	sandwich	NOUN
ejpam-540	277	33	theorems	theorem	NOUN
ejpam-540	277	34	for	for	ADP
ejpam-540	277	35	the	the	DET
ejpam-540	277	36	corresponding	corresponding	ADJ
ejpam-540	277	37	linear	linear	PROPN
ejpam-540	277	38	operators	operator	NOUN
ejpam-540	277	39	.	.	PUNCT
ejpam-540	278	1	remark	remark	PROPN
ejpam-540	278	2	10	10	NUM
ejpam-540	278	3	.	.	PUNCT
ejpam-540	279	1	taking	take	VERB
ejpam-540	279	2	n=	n=	ADV
ejpam-540	279	3	0,λ=	0,λ=	NOUN
ejpam-540	279	4	1	1	NUM
ejpam-540	279	5	and	and	CCONJ
ejpam-540	279	6	g(z	g(z	ADJ
ejpam-540	279	7	)	)	PUNCT
ejpam-540	280	1	=	=	SYM
ejpam-540	280	2	z	z	NOUN
ejpam-540	281	1	1−	1−	NUM
ejpam-540	281	2	z	z	NOUN
ejpam-540	281	3	in	in	ADP
ejpam-540	281	4	theorem	theorem	NOUN
ejpam-540	281	5	3	3	NUM
ejpam-540	281	6	,	,	PUNCT
ejpam-540	281	7	we	we	PRON
ejpam-540	281	8	obtain	obtain	VERB
ejpam-540	281	9	the	the	DET
ejpam-540	281	10	sandwich	sandwich	NOUN
ejpam-540	281	11	result	result	NOUN
ejpam-540	281	12	of	of	ADP
ejpam-540	281	13	shanmugam	shanmugam	PROPN
ejpam-540	281	14	et	et	PROPN
ejpam-540	281	15	al	al	PROPN
ejpam-540	281	16	.	.	PUNCT
ejpam-540	282	1	[	[	X
ejpam-540	282	2	24	24	NUM
ejpam-540	282	3	,	,	PUNCT
ejpam-540	282	4	corollary	corollary	ADJ
ejpam-540	282	5	3.6	3.6	NUM
ejpam-540	282	6	]	]	PUNCT
ejpam-540	282	7	.	.	PUNCT
ejpam-540	283	1	references	reference	NOUN
ejpam-540	283	2	[	[	X
ejpam-540	283	3	1	1	NUM
ejpam-540	283	4	]	]	PUNCT
ejpam-540	283	5	r.	r.	PROPN
ejpam-540	283	6	m.	m.	PROPN
ejpam-540	283	7	ali	ali	PROPN
ejpam-540	283	8	,	,	PUNCT
ejpam-540	283	9	v.	v.	ADP
ejpam-540	283	10	ravichandran	ravichandran	NOUN
ejpam-540	283	11	,	,	PUNCT
ejpam-540	283	12	and	and	CCONJ
ejpam-540	283	13	k.	k.	PROPN
ejpam-540	283	14	g.	g.	PROPN
ejpam-540	283	15	subramanian	subramanian	PROPN
ejpam-540	283	16	.	.	PUNCT
ejpam-540	284	1	differential	differential	ADJ
ejpam-540	284	2	sandwich	sandwich	NOUN
ejpam-540	284	3	theorems	theorem	NOUN
ejpam-540	284	4	for	for	ADP
ejpam-540	284	5	certain	certain	ADJ
ejpam-540	284	6	analytic	analytic	ADJ
ejpam-540	284	7	functions	function	NOUN
ejpam-540	284	8	.	.	PUNCT
ejpam-540	285	1	far	far	PROPN
ejpam-540	285	2	east	east	PROPN
ejpam-540	285	3	j.	j.	PROPN
ejpam-540	285	4	math	math	PROPN
ejpam-540	285	5	.	.	PUNCT
ejpam-540	286	1	sci	sci	PROPN
ejpam-540	286	2	.	.	PROPN
ejpam-540	286	3	,	,	PUNCT
ejpam-540	286	4	15(1):87–94	15(1):87–94	NUM
ejpam-540	286	5	,	,	PUNCT
ejpam-540	286	6	2004	2004	NUM
ejpam-540	286	7	.	.	PUNCT
ejpam-540	287	1	[	[	X
ejpam-540	287	2	2	2	NUM
ejpam-540	287	3	]	]	PUNCT
ejpam-540	287	4	f.	f.	PROPN
ejpam-540	287	5	m.	m.	PROPN
ejpam-540	287	6	aloboudi	aloboudi	PROPN
ejpam-540	287	7	.	.	PROPN
ejpam-540	288	1	on	on	ADP
ejpam-540	288	2	univalent	univalent	ADJ
ejpam-540	288	3	functions	function	NOUN
ejpam-540	288	4	defined	define	VERB
ejpam-540	288	5	by	by	ADP
ejpam-540	288	6	a	a	DET
ejpam-540	288	7	generalized	generalize	VERB
ejpam-540	288	8	salagean	salagean	ADJ
ejpam-540	288	9	operator	operator	NOUN
ejpam-540	288	10	.	.	PUNCT
ejpam-540	288	11	internat	internat	PROPN
ejpam-540	288	12	.	.	PUNCT
ejpam-540	289	1	j.	j.	PROPN
ejpam-540	289	2	math	math	PROPN
ejpam-540	289	3	.	.	PUNCT
ejpam-540	290	1	math	math	NOUN
ejpam-540	290	2	.	.	PUNCT
ejpam-540	291	1	sci	sci	PROPN
ejpam-540	291	2	.	.	PROPN
ejpam-540	291	3	,	,	PUNCT
ejpam-540	291	4	27:1429–1436	27:1429–1436	NUM
ejpam-540	291	5	,	,	PUNCT
ejpam-540	291	6	2004	2004	NUM
ejpam-540	291	7	.	.	PUNCT
ejpam-540	292	1	[	[	X
ejpam-540	292	2	3	3	X
ejpam-540	292	3	]	]	PUNCT
ejpam-540	292	4	m.	m.	NOUN
ejpam-540	292	5	k.	k.	PROPN
ejpam-540	292	6	aouf	aouf	PROPN
ejpam-540	292	7	and	and	CCONJ
ejpam-540	292	8	t.	t.	PROPN
ejpam-540	292	9	m.	m.	PROPN
ejpam-540	292	10	seoudy	seoudy	PROPN
ejpam-540	292	11	.	.	PUNCT
ejpam-540	293	1	on	on	ADP
ejpam-540	293	2	differential	differential	ADJ
ejpam-540	293	3	sandwich	sandwich	NOUN
ejpam-540	293	4	theorems	theorem	NOUN
ejpam-540	293	5	of	of	ADP
ejpam-540	293	6	analytic	analytic	ADJ
ejpam-540	293	7	functions	function	NOUN
ejpam-540	293	8	defined	define	VERB
ejpam-540	293	9	by	by	ADP
ejpam-540	293	10	certain	certain	ADJ
ejpam-540	293	11	linear	linear	ADJ
ejpam-540	293	12	operator	operator	NOUN
ejpam-540	293	13	.	.	PUNCT
ejpam-540	294	1	ann	ann	PROPN
ejpam-540	294	2	.	.	PROPN
ejpam-540	294	3	univ	univ	PROPN
ejpam-540	294	4	.	.	PUNCT
ejpam-540	295	1	mariae	mariae	PROPN
ejpam-540	295	2	curie	curie	PROPN
ejpam-540	295	3	-	-	PUNCT
ejpam-540	295	4	sklodowska	sklodowska	NOUN
ejpam-540	295	5	sect	sect	NOUN
ejpam-540	295	6	.	.	PUNCT
ejpam-540	296	1	a	a	PRON
ejpam-540	296	2	,	,	PUNCT
ejpam-540	296	3	(	(	PUNCT
ejpam-540	296	4	to	to	PART
ejpam-540	296	5	appear	appear	VERB
ejpam-540	296	6	)	)	PUNCT
ejpam-540	296	7	.	.	PUNCT
ejpam-540	297	1	[	[	X
ejpam-540	297	2	4	4	X
ejpam-540	297	3	]	]	PUNCT
ejpam-540	297	4	s.	s.	PROPN
ejpam-540	297	5	d.	d.	PROPN
ejpam-540	297	6	bernardi	bernardi	PROPN
ejpam-540	297	7	.	.	PUNCT
ejpam-540	298	1	convex	convex	PROPN
ejpam-540	298	2	and	and	CCONJ
ejpam-540	298	3	starlike	starlike	NOUN
ejpam-540	298	4	univalent	univalent	ADJ
ejpam-540	298	5	functions	function	NOUN
ejpam-540	298	6	.	.	PUNCT
ejpam-540	299	1	trans	trans	PROPN
ejpam-540	299	2	.	.	PUNCT
ejpam-540	300	1	amer	amer	PROPN
ejpam-540	300	2	.	.	PUNCT
ejpam-540	300	3	math	math	PROPN
ejpam-540	300	4	.	.	PUNCT
ejpam-540	301	1	soc	soc	PROPN
ejpam-540	301	2	.	.	PUNCT
ejpam-540	301	3	,	,	PUNCT
ejpam-540	301	4	135:429–446	135:429–446	NUM
ejpam-540	301	5	,	,	PUNCT
ejpam-540	301	6	1969	1969	NUM
ejpam-540	301	7	.	.	PUNCT
ejpam-540	302	1	[	[	X
ejpam-540	302	2	5	5	X
ejpam-540	302	3	]	]	PUNCT
ejpam-540	302	4	t.	t.	NOUN
ejpam-540	302	5	bulboaca	bulboaca	NOUN
ejpam-540	302	6	.	.	PUNCT
ejpam-540	303	1	classes	class	NOUN
ejpam-540	303	2	of	of	ADP
ejpam-540	303	3	first	first	ADJ
ejpam-540	303	4	order	order	NOUN
ejpam-540	303	5	differential	differential	ADJ
ejpam-540	303	6	superordinations	superordination	NOUN
ejpam-540	303	7	.	.	PUNCT
ejpam-540	304	1	demonstratio	demonstratio	PROPN
ejpam-540	304	2	math	math	PROPN
ejpam-540	304	3	.	.	PUNCT
ejpam-540	304	4	,	,	PUNCT
ejpam-540	305	1	35(2):287–297	35(2):287–297	PROPN
ejpam-540	305	2	,	,	PUNCT
ejpam-540	305	3	2002	2002	NUM
ejpam-540	305	4	.	.	PUNCT
ejpam-540	306	1	[	[	X
ejpam-540	306	2	6	6	NUM
ejpam-540	306	3	]	]	PUNCT
ejpam-540	306	4	t.	t.	PROPN
ejpam-540	306	5	bulboaca	bulboaca	PROPN
ejpam-540	306	6	.	.	PUNCT
ejpam-540	306	7	differential	differential	ADJ
ejpam-540	306	8	subordinations	subordination	NOUN
ejpam-540	306	9	and	and	CCONJ
ejpam-540	306	10	superordinations	superordination	NOUN
ejpam-540	306	11	,	,	PUNCT
ejpam-540	306	12	recent	recent	ADJ
ejpam-540	306	13	results	result	NOUN
ejpam-540	306	14	.	.	PUNCT
ejpam-540	307	1	house	house	NOUN
ejpam-540	307	2	of	of	ADP
ejpam-540	307	3	scientific	scientific	ADJ
ejpam-540	307	4	book	book	NOUN
ejpam-540	307	5	publ	publ	NOUN
ejpam-540	307	6	.	.	PUNCT
ejpam-540	307	7	,	,	PUNCT
ejpam-540	307	8	cluj	cluj	NOUN
ejpam-540	307	9	-	-	PUNCT
ejpam-540	307	10	napoca	napoca	NOUN
ejpam-540	307	11	,	,	PUNCT
ejpam-540	307	12	2005	2005	NUM
ejpam-540	307	13	.	.	PUNCT
ejpam-540	308	1	[	[	X
ejpam-540	308	2	7	7	X
ejpam-540	308	3	]	]	X
ejpam-540	308	4	b.	b.	PROPN
ejpam-540	308	5	c.	c.	PROPN
ejpam-540	308	6	carlson	carlson	PROPN
ejpam-540	308	7	and	and	CCONJ
ejpam-540	308	8	d.	d.	PROPN
ejpam-540	308	9	b.	b.	PROPN
ejpam-540	308	10	shaffer	shaffer	PROPN
ejpam-540	308	11	.	.	PUNCT
ejpam-540	309	1	starlike	starlike	NOUN
ejpam-540	309	2	and	and	CCONJ
ejpam-540	309	3	prestarlike	prestarlike	ADJ
ejpam-540	309	4	hypergeometric	hypergeometric	ADJ
ejpam-540	309	5	functions	function	NOUN
ejpam-540	309	6	.	.	PUNCT
ejpam-540	310	1	siam	siam	PROPN
ejpam-540	310	2	j.	j.	PROPN
ejpam-540	310	3	math	math	PROPN
ejpam-540	310	4	.	.	PUNCT
ejpam-540	311	1	anal	anal	PROPN
ejpam-540	311	2	.	.	PROPN
ejpam-540	311	3	,	,	PUNCT
ejpam-540	311	4	15:737–745	15:737–745	PROPN
ejpam-540	311	5	,	,	PUNCT
ejpam-540	311	6	1984	1984	NUM
ejpam-540	311	7	.	.	PUNCT
ejpam-540	312	1	[	[	X
ejpam-540	312	2	8	8	NUM
ejpam-540	312	3	]	]	PUNCT
ejpam-540	312	4	a.	a.	NOUN
ejpam-540	312	5	catas	catas	PROPN
ejpam-540	312	6	,	,	PUNCT
ejpam-540	312	7	g.	g.	PROPN
ejpam-540	312	8	i.	i.	PROPN
ejpam-540	312	9	oros	oros	PROPN
ejpam-540	312	10	,	,	PUNCT
ejpam-540	312	11	and	and	CCONJ
ejpam-540	312	12	g.	g.	PROPN
ejpam-540	312	13	oros	oros	PROPN
ejpam-540	312	14	.	.	PUNCT
ejpam-540	313	1	differential	differential	ADJ
ejpam-540	313	2	subordinations	subordination	NOUN
ejpam-540	313	3	associated	associate	VERB
ejpam-540	313	4	with	with	ADP
ejpam-540	313	5	multiplier	multipli	ADJ
ejpam-540	313	6	transformations	transformation	NOUN
ejpam-540	313	7	.	.	PUNCT
ejpam-540	314	1	abstract	abstract	ADJ
ejpam-540	314	2	appl	appl	PROPN
ejpam-540	314	3	.	.	PUNCT
ejpam-540	315	1	anal	anal	PROPN
ejpam-540	315	2	.	.	PUNCT
ejpam-540	315	3	,	,	PUNCT
ejpam-540	315	4	2008,id	2008,id	NUM
ejpam-540	315	5	845724:1–11	845724:1–11	NUM
ejpam-540	315	6	,	,	PUNCT
ejpam-540	315	7	2008	2008	NUM
ejpam-540	315	8	.	.	PUNCT
ejpam-540	316	1	[	[	X
ejpam-540	316	2	9	9	NUM
ejpam-540	316	3	]	]	X
ejpam-540	316	4	n.	n.	PROPN
ejpam-540	316	5	e.	e.	PROPN
ejpam-540	316	6	cho	cho	PROPN
ejpam-540	316	7	and	and	CCONJ
ejpam-540	316	8	t.	t.	PROPN
ejpam-540	316	9	g.	g.	PROPN
ejpam-540	316	10	kim	kim	PROPN
ejpam-540	316	11	.	.	PUNCT
ejpam-540	317	1	multiplier	multipli	ADJ
ejpam-540	317	2	transformations	transformation	NOUN
ejpam-540	317	3	and	and	CCONJ
ejpam-540	317	4	strongly	strongly	ADV
ejpam-540	317	5	close	close	ADV
ejpam-540	317	6	-	-	PUNCT
ejpam-540	317	7	to	to	ADP
ejpam-540	317	8	-	-	PUNCT
ejpam-540	317	9	convex	convex	NOUN
ejpam-540	317	10	functions	function	NOUN
ejpam-540	317	11	.	.	PUNCT
ejpam-540	318	1	bull	bull	NOUN
ejpam-540	318	2	.	.	PUNCT
ejpam-540	319	1	korean	korean	ADJ
ejpam-540	319	2	math	math	PROPN
ejpam-540	319	3	.	.	PUNCT
ejpam-540	320	1	soc	soc	PROPN
ejpam-540	320	2	.	.	PUNCT
ejpam-540	320	3	,	,	PUNCT
ejpam-540	321	1	40(3):399–410	40(3):399–410	PROPN
ejpam-540	321	2	,	,	PUNCT
ejpam-540	321	3	2003	2003	NUM
ejpam-540	321	4	.	.	PUNCT
ejpam-540	322	1	[	[	X
ejpam-540	322	2	10	10	NUM
ejpam-540	322	3	]	]	X
ejpam-540	322	4	j.	j.	PROPN
ejpam-540	322	5	dziok	dziok	PROPN
ejpam-540	322	6	and	and	CCONJ
ejpam-540	322	7	h.	h.	PROPN
ejpam-540	322	8	m.	m.	PROPN
ejpam-540	322	9	srivastava	srivastava	PROPN
ejpam-540	322	10	.	.	PUNCT
ejpam-540	323	1	classes	class	NOUN
ejpam-540	323	2	of	of	ADP
ejpam-540	323	3	analytic	analytic	ADJ
ejpam-540	323	4	functions	function	NOUN
ejpam-540	323	5	associated	associate	VERB
ejpam-540	323	6	with	with	ADP
ejpam-540	323	7	thegeneralized	thegeneralize	VERB
ejpam-540	323	8	hypergeometric	hypergeometric	ADJ
ejpam-540	323	9	function	function	NOUN
ejpam-540	323	10	.	.	PUNCT
ejpam-540	324	1	appl	appl	PROPN
ejpam-540	324	2	.	.	PROPN
ejpam-540	324	3	math	math	PROPN
ejpam-540	324	4	.	.	PUNCT
ejpam-540	325	1	comput	comput	NOUN
ejpam-540	325	2	.	.	PUNCT
ejpam-540	325	3	,	,	PUNCT
ejpam-540	325	4	103:1–13	103:1–13	NUM
ejpam-540	325	5	,	,	PUNCT
ejpam-540	325	6	1999	1999	NUM
ejpam-540	325	7	.	.	PUNCT
ejpam-540	326	1	references	reference	NOUN
ejpam-540	326	2	13	13	NUM
ejpam-540	327	1	[	[	X
ejpam-540	327	2	11	11	NUM
ejpam-540	327	3	]	]	PUNCT
ejpam-540	327	4	j.	j.	PROPN
ejpam-540	327	5	dziok	dziok	PROPN
ejpam-540	327	6	and	and	CCONJ
ejpam-540	327	7	h.	h.	PROPN
ejpam-540	327	8	m.	m.	PROPN
ejpam-540	327	9	srivastava	srivastava	PROPN
ejpam-540	327	10	.	.	PUNCT
ejpam-540	328	1	some	some	DET
ejpam-540	328	2	subclasses	subclass	NOUN
ejpam-540	328	3	of	of	ADP
ejpam-540	328	4	analytic	analytic	ADJ
ejpam-540	328	5	functions	function	NOUN
ejpam-540	328	6	with	with	ADP
ejpam-540	328	7	fixed	fix	VERB
ejpam-540	328	8	argument	argument	NOUN
ejpam-540	328	9	of	of	ADP
ejpam-540	328	10	coefficients	coefficient	NOUN
ejpam-540	328	11	associated	associate	VERB
ejpam-540	328	12	with	with	ADP
ejpam-540	328	13	the	the	DET
ejpam-540	328	14	generalized	generalize	VERB
ejpam-540	328	15	hypergeometric	hypergeometric	ADJ
ejpam-540	328	16	function	function	NOUN
ejpam-540	328	17	.	.	PUNCT
ejpam-540	329	1	adv	adv	PROPN
ejpam-540	329	2	.	.	PUNCT
ejpam-540	329	3	stud	stud	PROPN
ejpam-540	329	4	.	.	PUNCT
ejpam-540	330	1	contemp	contemp	NOUN
ejpam-540	330	2	.	.	PUNCT
ejpam-540	331	1	math	math	NOUN
ejpam-540	331	2	.	.	PUNCT
ejpam-540	331	3	,	,	PUNCT
ejpam-540	331	4	5:115–125	5:115–125	NUM
ejpam-540	331	5	,	,	PUNCT
ejpam-540	331	6	2002	2002	NUM
ejpam-540	331	7	.	.	PUNCT
ejpam-540	332	1	[	[	X
ejpam-540	332	2	12	12	NUM
ejpam-540	332	3	]	]	X
ejpam-540	332	4	j.	j.	PROPN
ejpam-540	332	5	dziok	dziok	PROPN
ejpam-540	332	6	and	and	CCONJ
ejpam-540	332	7	h.	h.	PROPN
ejpam-540	332	8	m.	m.	PROPN
ejpam-540	332	9	srivastava	srivastava	PROPN
ejpam-540	332	10	.	.	PUNCT
ejpam-540	333	1	certain	certain	ADJ
ejpam-540	333	2	subclasses	subclass	NOUN
ejpam-540	333	3	of	of	ADP
ejpam-540	333	4	analytic	analytic	ADJ
ejpam-540	333	5	functions	function	NOUN
ejpam-540	333	6	associated	associate	VERB
ejpam-540	333	7	with	with	ADP
ejpam-540	333	8	the	the	DET
ejpam-540	333	9	generalized	generalize	VERB
ejpam-540	333	10	hypergeometric	hypergeometric	ADJ
ejpam-540	333	11	function	function	NOUN
ejpam-540	333	12	.	.	PUNCT
ejpam-540	334	1	integral	integral	ADJ
ejpam-540	334	2	transform	transform	NOUN
ejpam-540	334	3	.	.	PUNCT
ejpam-540	335	1	spec	spec	PROPN
ejpam-540	335	2	.	.	PUNCT
ejpam-540	336	1	funct	funct	PROPN
ejpam-540	336	2	.	.	PROPN
ejpam-540	336	3	,	,	PUNCT
ejpam-540	336	4	14:7–18	14:7–18	NUM
ejpam-540	336	5	,	,	PUNCT
ejpam-540	336	6	2003	2003	NUM
ejpam-540	336	7	.	.	PUNCT
ejpam-540	337	1	[	[	X
ejpam-540	337	2	13	13	NUM
ejpam-540	337	3	]	]	SYM
ejpam-540	337	4	yu	yu	PROPN
ejpam-540	337	5	.	.	PUNCT
ejpam-540	337	6	e.	e.	PROPN
ejpam-540	337	7	hohlov	hohlov	PROPN
ejpam-540	337	8	.	.	PUNCT
ejpam-540	338	1	operators	operator	NOUN
ejpam-540	338	2	and	and	CCONJ
ejpam-540	338	3	operations	operation	NOUN
ejpam-540	338	4	in	in	ADP
ejpam-540	338	5	the	the	DET
ejpam-540	338	6	univalent	univalent	ADJ
ejpam-540	338	7	functions	function	NOUN
ejpam-540	338	8	.	.	PUNCT
ejpam-540	339	1	izv	izv	PROPN
ejpam-540	339	2	.	.	PUNCT
ejpam-540	340	1	vyŝsh	vyŝsh	PROPN
ejpam-540	340	2	.	.	PUNCT
ejpam-540	340	3	učebn	učebn	PROPN
ejpam-540	340	4	.	.	PUNCT
ejpam-540	341	1	zaved	zave	VERB
ejpam-540	341	2	.	.	PUNCT
ejpam-540	342	1	mat	mat	NOUN
ejpam-540	342	2	.	.	PUNCT
ejpam-540	343	1	(	(	PUNCT
ejpam-540	343	2	in	in	ADP
ejpam-540	343	3	russian	russian	PROPN
ejpam-540	343	4	)	)	PUNCT
ejpam-540	343	5	,	,	PUNCT
ejpam-540	343	6	10:83–89	10:83–89	NUM
ejpam-540	343	7	,	,	PUNCT
ejpam-540	343	8	1978	1978	NUM
ejpam-540	343	9	.	.	PUNCT
ejpam-540	344	1	[	[	X
ejpam-540	344	2	14	14	NUM
ejpam-540	344	3	]	]	PUNCT
ejpam-540	344	4	r.	r.	PROPN
ejpam-540	344	5	j.	j.	PROPN
ejpam-540	344	6	libera	libera	PROPN
ejpam-540	344	7	.	.	PUNCT
ejpam-540	345	1	some	some	DET
ejpam-540	345	2	classes	class	NOUN
ejpam-540	345	3	of	of	ADP
ejpam-540	345	4	regular	regular	ADJ
ejpam-540	345	5	univalent	univalent	ADJ
ejpam-540	345	6	functions	function	NOUN
ejpam-540	345	7	.	.	PUNCT
ejpam-540	346	1	proc	proc	NOUN
ejpam-540	346	2	.	.	PUNCT
ejpam-540	347	1	amer	amer	PROPN
ejpam-540	347	2	.	.	PUNCT
ejpam-540	347	3	math	math	PROPN
ejpam-540	347	4	.	.	PUNCT
ejpam-540	348	1	soc	soc	PROPN
ejpam-540	348	2	.	.	PUNCT
ejpam-540	348	3	,	,	PUNCT
ejpam-540	348	4	16:755	16:755	NUM
ejpam-540	348	5	–	–	PUNCT
ejpam-540	348	6	658	658	NUM
ejpam-540	348	7	,	,	PUNCT
ejpam-540	348	8	1965	1965	NUM
ejpam-540	348	9	.	.	PUNCT
ejpam-540	349	1	[	[	X
ejpam-540	349	2	15	15	NUM
ejpam-540	349	3	]	]	X
ejpam-540	349	4	a.	a.	PROPN
ejpam-540	349	5	e.	e.	PROPN
ejpam-540	349	6	livingston	livingston	PROPN
ejpam-540	349	7	.	.	PUNCT
ejpam-540	350	1	on	on	ADP
ejpam-540	350	2	the	the	DET
ejpam-540	350	3	radius	radius	NOUN
ejpam-540	350	4	of	of	ADP
ejpam-540	350	5	univalence	univalence	NOUN
ejpam-540	350	6	of	of	ADP
ejpam-540	350	7	certain	certain	ADJ
ejpam-540	350	8	analytic	analytic	ADJ
ejpam-540	350	9	functions	function	NOUN
ejpam-540	350	10	.	.	PUNCT
ejpam-540	351	1	proc	proc	NOUN
ejpam-540	351	2	.	.	PUNCT
ejpam-540	352	1	amer	amer	PROPN
ejpam-540	352	2	.	.	PUNCT
ejpam-540	352	3	math	math	PROPN
ejpam-540	352	4	.	.	PUNCT
ejpam-540	353	1	soc	soc	PROPN
ejpam-540	353	2	.	.	PUNCT
ejpam-540	353	3	,	,	PUNCT
ejpam-540	353	4	17:352–357	17:352–357	NUM
ejpam-540	353	5	,	,	PUNCT
ejpam-540	353	6	1966	1966	NUM
ejpam-540	353	7	.	.	PUNCT
ejpam-540	354	1	[	[	X
ejpam-540	354	2	16	16	NUM
ejpam-540	354	3	]	]	PUNCT
ejpam-540	354	4	s.	s.	PROPN
ejpam-540	354	5	s.	s.	PROPN
ejpam-540	354	6	miller	miller	PROPN
ejpam-540	354	7	and	and	CCONJ
ejpam-540	354	8	p.	p.	PROPN
ejpam-540	354	9	t.	t.	PROPN
ejpam-540	354	10	mocanu	mocanu	PROPN
ejpam-540	354	11	.	.	PUNCT
ejpam-540	355	1	differential	differential	ADJ
ejpam-540	355	2	subordination	subordination	NOUN
ejpam-540	355	3	:	:	PUNCT
ejpam-540	355	4	theory	theory	NOUN
ejpam-540	355	5	and	and	CCONJ
ejpam-540	355	6	applications	application	NOUN
ejpam-540	355	7	,	,	PUNCT
ejpam-540	355	8	series	series	NOUN
ejpam-540	355	9	on	on	ADP
ejpam-540	355	10	monographs	monograph	NOUN
ejpam-540	355	11	and	and	CCONJ
ejpam-540	355	12	textbooks	textbook	NOUN
ejpam-540	355	13	in	in	ADP
ejpam-540	355	14	pure	pure	ADJ
ejpam-540	355	15	and	and	CCONJ
ejpam-540	355	16	applied	applied	ADJ
ejpam-540	355	17	mathematics	mathematic	NOUN
ejpam-540	355	18	,	,	PUNCT
ejpam-540	355	19	vol	vol	NOUN
ejpam-540	355	20	.	.	PROPN
ejpam-540	355	21	225	225	NUM
ejpam-540	355	22	.	.	PUNCT
ejpam-540	356	1	marcel	marcel	PROPN
ejpam-540	356	2	dekker	dekker	PROPN
ejpam-540	356	3	inc	inc	PROPN
ejpam-540	356	4	.	.	PROPN
ejpam-540	356	5	,	,	PUNCT
ejpam-540	356	6	new	new	PROPN
ejpam-540	356	7	york	york	PROPN
ejpam-540	356	8	and	and	CCONJ
ejpam-540	356	9	basel	basel	PROPN
ejpam-540	356	10	,	,	PUNCT
ejpam-540	356	11	2000	2000	NUM
ejpam-540	356	12	.	.	PUNCT
ejpam-540	357	1	[	[	X
ejpam-540	357	2	17	17	NUM
ejpam-540	357	3	]	]	PUNCT
ejpam-540	357	4	s.	s.	PROPN
ejpam-540	357	5	s.	s.	PROPN
ejpam-540	357	6	miller	miller	PROPN
ejpam-540	357	7	and	and	CCONJ
ejpam-540	357	8	p.	p.	PROPN
ejpam-540	357	9	t.	t.	PROPN
ejpam-540	357	10	mocanu	mocanu	PROPN
ejpam-540	357	11	.	.	PUNCT
ejpam-540	358	1	subordinates	subordinate	NOUN
ejpam-540	358	2	of	of	ADP
ejpam-540	358	3	differential	differential	ADJ
ejpam-540	358	4	superordinations	superordination	NOUN
ejpam-540	358	5	.	.	PUNCT
ejpam-540	359	1	complex	complex	ADJ
ejpam-540	359	2	variables	variable	NOUN
ejpam-540	359	3	,	,	PUNCT
ejpam-540	359	4	48(10):815–826	48(10):815–826	PROPN
ejpam-540	359	5	,	,	PUNCT
ejpam-540	359	6	2003	2003	NUM
ejpam-540	359	7	.	.	PUNCT
ejpam-540	360	1	[	[	X
ejpam-540	360	2	18	18	NUM
ejpam-540	360	3	]	]	X
ejpam-540	360	4	v.	v.	CCONJ
ejpam-540	360	5	o.	o.	PROPN
ejpam-540	360	6	nechita	nechita	PROPN
ejpam-540	360	7	.	.	PUNCT
ejpam-540	361	1	differential	differential	ADJ
ejpam-540	361	2	subordinations	subordination	NOUN
ejpam-540	361	3	and	and	CCONJ
ejpam-540	361	4	superordinations	superordination	NOUN
ejpam-540	361	5	for	for	ADP
ejpam-540	361	6	analytic	analytic	ADJ
ejpam-540	361	7	functions	function	NOUN
ejpam-540	361	8	defined	define	VERB
ejpam-540	361	9	by	by	ADP
ejpam-540	361	10	the	the	DET
ejpam-540	361	11	generalized	generalized	ADJ
ejpam-540	361	12	sălăgean	sălăgean	ADJ
ejpam-540	361	13	derivative	derivative	NOUN
ejpam-540	361	14	.	.	PUNCT
ejpam-540	362	1	acta	acta	PROPN
ejpam-540	362	2	univ	univ	PROPN
ejpam-540	362	3	.	.	PUNCT
ejpam-540	363	1	apulensis	apulensis	NOUN
ejpam-540	363	2	,	,	PUNCT
ejpam-540	363	3	16:143–156	16:143–156	NUM
ejpam-540	363	4	,	,	PUNCT
ejpam-540	363	5	2008	2008	NUM
ejpam-540	363	6	.	.	PUNCT
ejpam-540	364	1	[	[	X
ejpam-540	364	2	19	19	NUM
ejpam-540	364	3	]	]	X
ejpam-540	364	4	s.	s.	PROPN
ejpam-540	364	5	owa	owa	PROPN
ejpam-540	364	6	and	and	CCONJ
ejpam-540	364	7	h.	h.	PROPN
ejpam-540	364	8	m.	m.	PROPN
ejpam-540	364	9	srivastava	srivastava	PROPN
ejpam-540	364	10	.	.	PUNCT
ejpam-540	365	1	univalent	univalent	ADJ
ejpam-540	365	2	and	and	CCONJ
ejpam-540	365	3	starlike	starlike	ADJ
ejpam-540	365	4	generalized	generalize	VERB
ejpam-540	365	5	hypergeometric	hypergeometric	ADJ
ejpam-540	365	6	functions	function	NOUN
ejpam-540	365	7	.	.	PUNCT
ejpam-540	366	1	canad	canad	PROPN
ejpam-540	366	2	.	.	PUNCT
ejpam-540	367	1	j.	j.	PROPN
ejpam-540	367	2	math	math	PROPN
ejpam-540	367	3	.	.	PUNCT
ejpam-540	367	4	,	,	PUNCT
ejpam-540	367	5	39:1057–1077	39:1057–1077	NUM
ejpam-540	367	6	,	,	PUNCT
ejpam-540	367	7	1987	1987	NUM
ejpam-540	367	8	.	.	PUNCT
ejpam-540	368	1	[	[	X
ejpam-540	368	2	20	20	NUM
ejpam-540	368	3	]	]	SYM
ejpam-540	368	4	st	st	PROPN
ejpam-540	368	5	.	.	PROPN
ejpam-540	368	6	ruscheweyh	ruscheweyh	PROPN
ejpam-540	368	7	.	.	PUNCT
ejpam-540	369	1	new	new	ADJ
ejpam-540	369	2	criteria	criterion	NOUN
ejpam-540	369	3	for	for	ADP
ejpam-540	369	4	univalent	univalent	ADJ
ejpam-540	369	5	functions	function	NOUN
ejpam-540	369	6	.	.	PUNCT
ejpam-540	370	1	proc	proc	NOUN
ejpam-540	370	2	.	.	PUNCT
ejpam-540	371	1	amer	amer	PROPN
ejpam-540	371	2	.	.	PUNCT
ejpam-540	371	3	math	math	PROPN
ejpam-540	371	4	.	.	PUNCT
ejpam-540	372	1	sco	sco	PROPN
ejpam-540	372	2	.	.	PROPN
ejpam-540	372	3	,	,	PUNCT
ejpam-540	372	4	49:109	49:109	NUM
ejpam-540	372	5	–	–	PUNCT
ejpam-540	372	6	115	115	NUM
ejpam-540	372	7	,	,	PUNCT
ejpam-540	372	8	1975	1975	NUM
ejpam-540	372	9	.	.	PUNCT
ejpam-540	373	1	[	[	X
ejpam-540	373	2	21	21	NUM
ejpam-540	373	3	]	]	X
ejpam-540	373	4	h.	h.	PROPN
ejpam-540	373	5	saitoh	saitoh	PROPN
ejpam-540	373	6	.	.	PUNCT
ejpam-540	374	1	a	a	DET
ejpam-540	374	2	linear	linear	ADJ
ejpam-540	374	3	operator	operator	NOUN
ejpam-540	374	4	ana	ana	VERB
ejpam-540	374	5	its	its	PRON
ejpam-540	374	6	applications	application	NOUN
ejpam-540	374	7	of	of	ADP
ejpam-540	374	8	fiest	fiest	NOUN
ejpam-540	374	9	order	order	NOUN
ejpam-540	374	10	differential	differential	ADJ
ejpam-540	374	11	subordinations	subordination	NOUN
ejpam-540	374	12	.	.	PUNCT
ejpam-540	375	1	math	math	NOUN
ejpam-540	375	2	.	.	PUNCT
ejpam-540	376	1	japon	japon	PROPN
ejpam-540	376	2	.	.	PROPN
ejpam-540	376	3	,	,	PUNCT
ejpam-540	376	4	44:31–38	44:31–38	PROPN
ejpam-540	376	5	,	,	PUNCT
ejpam-540	376	6	1996	1996	NUM
ejpam-540	376	7	.	.	PUNCT
ejpam-540	377	1	[	[	X
ejpam-540	377	2	22	22	NUM
ejpam-540	377	3	]	]	X
ejpam-540	377	4	g.	g.	PROPN
ejpam-540	377	5	s.	s.	PROPN
ejpam-540	377	6	salagean	salagean	PROPN
ejpam-540	377	7	.	.	PUNCT
ejpam-540	378	1	subclasses	subclass	NOUN
ejpam-540	378	2	of	of	ADP
ejpam-540	378	3	univalent	univalent	ADJ
ejpam-540	378	4	functions	function	NOUN
ejpam-540	378	5	.	.	PUNCT
ejpam-540	379	1	lecture	lecture	NOUN
ejpam-540	379	2	notes	note	NOUN
ejpam-540	379	3	in	in	ADP
ejpam-540	379	4	math	math	NOUN
ejpam-540	379	5	.	.	PUNCT
ejpam-540	380	1	(	(	PUNCT
ejpam-540	380	2	springerverlag	springerverlag	NOUN
ejpam-540	380	3	)	)	PUNCT
ejpam-540	380	4	,	,	PUNCT
ejpam-540	380	5	1013:362–372	1013:362–372	NOUN
ejpam-540	380	6	,	,	PUNCT
ejpam-540	380	7	1983	1983	NUM
ejpam-540	380	8	.	.	PUNCT
ejpam-540	381	1	[	[	X
ejpam-540	381	2	23	23	NUM
ejpam-540	381	3	]	]	X
ejpam-540	381	4	c.	c.	PROPN
ejpam-540	381	5	selvaraj	selvaraj	PROPN
ejpam-540	381	6	and	and	CCONJ
ejpam-540	381	7	k.	k.	PROPN
ejpam-540	381	8	r.	r.	PROPN
ejpam-540	381	9	karthikeyan	karthikeyan	PROPN
ejpam-540	381	10	.	.	PUNCT
ejpam-540	382	1	differential	differential	ADJ
ejpam-540	382	2	subordination	subordination	NOUN
ejpam-540	382	3	and	and	CCONJ
ejpam-540	382	4	superordination	superordination	NOUN
ejpam-540	382	5	for	for	ADP
ejpam-540	382	6	certain	certain	ADJ
ejpam-540	382	7	subclasses	subclass	NOUN
ejpam-540	382	8	of	of	ADP
ejpam-540	382	9	analytic	analytic	ADJ
ejpam-540	382	10	functions	function	NOUN
ejpam-540	382	11	.	.	PUNCT
ejpam-540	383	1	far	far	PROPN
ejpam-540	383	2	east	east	PROPN
ejpam-540	383	3	j.	j.	PROPN
ejpam-540	383	4	math	math	PROPN
ejpam-540	383	5	.	.	PUNCT
ejpam-540	384	1	sci	sci	PROPN
ejpam-540	384	2	.	.	PROPN
ejpam-540	384	3	,	,	PUNCT
ejpam-540	384	4	29(2):419–430	29(2):419–430	PROPN
ejpam-540	384	5	,	,	PUNCT
ejpam-540	384	6	2008	2008	NUM
ejpam-540	384	7	.	.	PUNCT
ejpam-540	385	1	[	[	X
ejpam-540	385	2	24	24	NUM
ejpam-540	385	3	]	]	PUNCT
ejpam-540	385	4	t.	t.	PROPN
ejpam-540	385	5	n.	n.	PROPN
ejpam-540	385	6	shanmugam	shanmugam	PROPN
ejpam-540	385	7	,	,	PUNCT
ejpam-540	385	8	v.	v.	ADP
ejpam-540	385	9	ravichandran	ravichandran	NOUN
ejpam-540	385	10	,	,	PUNCT
ejpam-540	385	11	and	and	CCONJ
ejpam-540	385	12	s.	s.	PROPN
ejpam-540	385	13	sivasubramanian	sivasubramanian	PROPN
ejpam-540	385	14	.	.	PUNCT
ejpam-540	386	1	differantial	differantial	ADJ
ejpam-540	386	2	sandwich	sandwich	NOUN
ejpam-540	386	3	theorems	theorem	NOUN
ejpam-540	386	4	for	for	ADP
ejpam-540	386	5	some	some	DET
ejpam-540	386	6	subclasses	subclass	NOUN
ejpam-540	386	7	of	of	ADP
ejpam-540	386	8	analytic	analytic	ADJ
ejpam-540	386	9	functions	function	NOUN
ejpam-540	386	10	.	.	PUNCT
ejpam-540	387	1	j.	j.	PROPN
ejpam-540	387	2	austr	austr	PROPN
ejpam-540	387	3	.	.	PUNCT
ejpam-540	388	1	math	math	PROPN
ejpam-540	388	2	.	.	PUNCT
ejpam-540	389	1	anal	anal	PROPN
ejpam-540	389	2	.	.	PUNCT
ejpam-540	389	3	appl	appl	PROPN
ejpam-540	389	4	.	.	PROPN
ejpam-540	389	5	,	,	PUNCT
ejpam-540	389	6	3(1	3(1	NUM
ejpam-540	389	7	,	,	PUNCT
ejpam-540	389	8	art	art	NOUN
ejpam-540	389	9	.	.	PUNCT
ejpam-540	390	1	8):1–11	8):1–11	NOUN
ejpam-540	390	2	,	,	PUNCT
ejpam-540	390	3	2006	2006	NUM
ejpam-540	390	4	.	.	PUNCT
ejpam-540	391	1	[	[	X
ejpam-540	391	2	25	25	NUM
ejpam-540	391	3	]	]	X
ejpam-540	391	4	n.	n.	NOUN
ejpam-540	391	5	tuneski	tuneski	ADJ
ejpam-540	391	6	.	.	PUNCT
ejpam-540	392	1	on	on	ADP
ejpam-540	392	2	certain	certain	ADJ
ejpam-540	392	3	sufficient	sufficient	ADJ
ejpam-540	392	4	conditions	condition	NOUN
ejpam-540	392	5	for	for	ADP
ejpam-540	392	6	starlikeness	starlikeness	NOUN
ejpam-540	392	7	.	.	PUNCT
ejpam-540	393	1	internat	internat	PROPN
ejpam-540	393	2	.	.	PUNCT
ejpam-540	394	1	j.	j.	PROPN
ejpam-540	394	2	math	math	PROPN
ejpam-540	394	3	.	.	PUNCT
ejpam-540	395	1	math	math	NOUN
ejpam-540	395	2	.	.	PUNCT
ejpam-540	396	1	sci	sci	PROPN
ejpam-540	396	2	.	.	PROPN
ejpam-540	396	3	,	,	PUNCT
ejpam-540	396	4	23(8):521–527	23(8):521–527	NUM
ejpam-540	396	5	,	,	PUNCT
ejpam-540	396	6	2000	2000	NUM
ejpam-540	396	7	.	.	PUNCT