id	sid	tid	token	lemma	pos
ejpam-975	1	1	2_975_jhade.dvi	2_975_jhade.dvi	NUM
ejpam-975	1	2	european	european	ADJ
ejpam-975	1	3	journal	journal	NOUN
ejpam-975	1	4	of	of	ADP
ejpam-975	1	5	pure	pure	ADJ
ejpam-975	1	6	and	and	CCONJ
ejpam-975	1	7	applied	apply	VERB
ejpam-975	1	8	mathematics	mathematic	NOUN
ejpam-975	1	9	vol	vol	NOUN
ejpam-975	1	10	.	.	PROPN
ejpam-975	1	11	4	4	NUM
ejpam-975	1	12	,	,	PUNCT
ejpam-975	1	13	no	no	INTJ
ejpam-975	1	14	.	.	NOUN
ejpam-975	1	15	4	4	NUM
ejpam-975	1	16	,	,	PUNCT
ejpam-975	1	17	2011	2011	NUM
ejpam-975	1	18	,	,	PUNCT
ejpam-975	1	19	330	330	NUM
ejpam-975	1	20	-	-	SYM
ejpam-975	1	21	339	339	NUM
ejpam-975	1	22	issn	issn	PROPN
ejpam-975	1	23	1307	1307	NUM
ejpam-975	1	24	-	-	SYM
ejpam-975	1	25	5543	5543	NUM
ejpam-975	1	26	–	–	PUNCT
ejpam-975	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-975	1	28	coincidence	coincidence	NOUN
ejpam-975	1	29	&	&	CCONJ
ejpam-975	1	30	fixed	fix	VERB
ejpam-975	1	31	points	point	NOUN
ejpam-975	1	32	of	of	ADP
ejpam-975	1	33	nonexpansive	nonexpansive	ADJ
ejpam-975	1	34	type	type	NOUN
ejpam-975	1	35	multi	multi	ADJ
ejpam-975	1	36	-	-	ADJ
ejpam-975	1	37	valued	value	VERB
ejpam-975	1	38	&	&	CCONJ
ejpam-975	1	39	single	single	ADJ
ejpam-975	1	40	valued	value	VERB
ejpam-975	1	41	maps	map	NOUN
ejpam-975	1	42	pankaj	pankaj	PROPN
ejpam-975	1	43	kumar	kumar	PROPN
ejpam-975	1	44	jhade1,∗	jhade1,∗	PROPN
ejpam-975	1	45	,	,	PUNCT
ejpam-975	1	46	a.	a.	PROPN
ejpam-975	1	47	s.	s.	PROPN
ejpam-975	1	48	saluja2	saluja2	PROPN
ejpam-975	1	49	,	,	PUNCT
ejpam-975	1	50	renu	renu	PROPN
ejpam-975	1	51	kushwah3	kushwah3	PROPN
ejpam-975	1	52	1	1	NUM
ejpam-975	1	53	department	department	NOUN
ejpam-975	1	54	of	of	ADP
ejpam-975	1	55	mathematics	mathematics	PROPN
ejpam-975	1	56	,	,	PUNCT
ejpam-975	1	57	nri	nri	PROPN
ejpam-975	1	58	institute	institute	PROPN
ejpam-975	1	59	of	of	ADP
ejpam-975	1	60	information	information	PROPN
ejpam-975	1	61	science	science	PROPN
ejpam-975	1	62	&	&	CCONJ
ejpam-975	1	63	technology	technology	PROPN
ejpam-975	1	64	,	,	PUNCT
ejpam-975	1	65	bhopal	bhopal	PROPN
ejpam-975	1	66	,	,	PUNCT
ejpam-975	1	67	india462021	india462021	PROPN
ejpam-975	1	68	2	2	NUM
ejpam-975	1	69	department	department	NOUN
ejpam-975	1	70	of	of	ADP
ejpam-975	1	71	mathematics	mathematic	NOUN
ejpam-975	1	72	,	,	PUNCT
ejpam-975	1	73	jh	jh	PROPN
ejpam-975	1	74	government	government	PROPN
ejpam-975	1	75	college	college	PROPN
ejpam-975	1	76	,	,	PUNCT
ejpam-975	1	77	betul	betul	PROPN
ejpam-975	1	78	,	,	PUNCT
ejpam-975	1	79	india-460001	india-460001	ADJ
ejpam-975	1	80	3	3	NUM
ejpam-975	1	81	department	department	NOUN
ejpam-975	1	82	of	of	ADP
ejpam-975	1	83	mathematics	mathematics	PROPN
ejpam-975	1	84	,	,	PUNCT
ejpam-975	1	85	nri	nri	PROPN
ejpam-975	1	86	institute	institute	PROPN
ejpam-975	1	87	of	of	ADP
ejpam-975	1	88	information	information	PROPN
ejpam-975	1	89	science	science	PROPN
ejpam-975	1	90	&	&	CCONJ
ejpam-975	1	91	technology	technology	PROPN
ejpam-975	1	92	,	,	PUNCT
ejpam-975	1	93	bhopal	bhopal	PROPN
ejpam-975	1	94	,	,	PUNCT
ejpam-975	1	95	india462021	india462021	PROPN
ejpam-975	1	96	abstract	abstract	NOUN
ejpam-975	1	97	.	.	PUNCT
ejpam-975	2	1	fixed	fix	VERB
ejpam-975	2	2	point	point	NOUN
ejpam-975	2	3	theory	theory	NOUN
ejpam-975	2	4	of	of	ADP
ejpam-975	2	5	nonexpansive	nonexpansive	ADJ
ejpam-975	2	6	and	and	CCONJ
ejpam-975	2	7	nonexpansive	nonexpansive	ADJ
ejpam-975	2	8	type	type	NOUN
ejpam-975	2	9	single	single	ADJ
ejpam-975	2	10	and	and	CCONJ
ejpam-975	2	11	multivalued	multivalued	ADJ
ejpam-975	2	12	mappings	mapping	NOUN
ejpam-975	2	13	provides	provide	VERB
ejpam-975	2	14	techniques	technique	NOUN
ejpam-975	2	15	for	for	ADP
ejpam-975	2	16	solving	solve	VERB
ejpam-975	2	17	a	a	DET
ejpam-975	2	18	variety	variety	NOUN
ejpam-975	2	19	of	of	ADP
ejpam-975	2	20	applied	apply	VERB
ejpam-975	2	21	problems	problem	NOUN
ejpam-975	2	22	in	in	ADP
ejpam-975	2	23	mathematical	mathematical	ADJ
ejpam-975	2	24	sciences	science	NOUN
ejpam-975	2	25	and	and	CCONJ
ejpam-975	2	26	engineering	engineering	NOUN
ejpam-975	2	27	.	.	PUNCT
ejpam-975	3	1	in	in	ADP
ejpam-975	3	2	this	this	DET
ejpam-975	3	3	paper	paper	NOUN
ejpam-975	3	4	we	we	PRON
ejpam-975	3	5	consider	consider	VERB
ejpam-975	3	6	the	the	DET
ejpam-975	3	7	existence	existence	NOUN
ejpam-975	3	8	of	of	ADP
ejpam-975	3	9	coincidences	coincidence	NOUN
ejpam-975	3	10	and	and	CCONJ
ejpam-975	3	11	fixed	fix	VERB
ejpam-975	3	12	points	point	NOUN
ejpam-975	3	13	of	of	ADP
ejpam-975	3	14	nonexpansive	nonexpansive	ADJ
ejpam-975	3	15	type	type	NOUN
ejpam-975	3	16	conditions	condition	NOUN
ejpam-975	3	17	satisfied	satisfy	VERB
ejpam-975	3	18	by	by	ADP
ejpam-975	3	19	multivalued	multivalued	ADJ
ejpam-975	3	20	and	and	CCONJ
ejpam-975	3	21	single	single	ADJ
ejpam-975	3	22	valued	value	VERB
ejpam-975	3	23	maps	map	NOUN
ejpam-975	3	24	and	and	CCONJ
ejpam-975	3	25	prove	prove	VERB
ejpam-975	3	26	some	some	DET
ejpam-975	3	27	fixed	fix	VERB
ejpam-975	3	28	point	point	NOUN
ejpam-975	3	29	theorems	theorem	NOUN
ejpam-975	3	30	for	for	ADP
ejpam-975	3	31	nonexpansive	nonexpansive	ADJ
ejpam-975	3	32	type	type	NOUN
ejpam-975	3	33	single	single	ADJ
ejpam-975	3	34	and	and	CCONJ
ejpam-975	3	35	multivalued	multivalued	ADJ
ejpam-975	3	36	mappings	mapping	NOUN
ejpam-975	3	37	.	.	PUNCT
ejpam-975	4	1	2000	2000	NUM
ejpam-975	4	2	mathematics	mathematic	NOUN
ejpam-975	4	3	subject	subject	NOUN
ejpam-975	4	4	classifications	classification	NOUN
ejpam-975	4	5	:	:	PUNCT
ejpam-975	4	6	47h10	47h10	NUM
ejpam-975	4	7	,	,	PUNCT
ejpam-975	4	8	54h25	54h25	NUM
ejpam-975	4	9	key	key	ADJ
ejpam-975	4	10	words	word	NOUN
ejpam-975	4	11	and	and	CCONJ
ejpam-975	4	12	phrases	phrase	NOUN
ejpam-975	4	13	:	:	PUNCT
ejpam-975	4	14	coincidence	coincidence	NOUN
ejpam-975	4	15	and	and	CCONJ
ejpam-975	4	16	fixed	fix	VERB
ejpam-975	4	17	points	point	NOUN
ejpam-975	4	18	;	;	PUNCT
ejpam-975	4	19	nonexpansive	nonexpansive	ADJ
ejpam-975	4	20	mappings	mapping	NOUN
ejpam-975	4	21	;	;	PUNCT
ejpam-975	4	22	compatible	compatible	ADJ
ejpam-975	4	23	mappings	mapping	NOUN
ejpam-975	4	24	;	;	PUNCT
ejpam-975	4	25	t	t	X
ejpam-975	4	26	-	-	PUNCT
ejpam-975	4	27	orbitally	orbitally	ADV
ejpam-975	4	28	complete	complete	ADJ
ejpam-975	4	29	;	;	PUNCT
ejpam-975	4	30	(	(	PUNCT
ejpam-975	4	31	t	t	PROPN
ejpam-975	4	32	,	,	PUNCT
ejpam-975	4	33	f)-orbitally	f)-orbitally	ADV
ejpam-975	4	34	complete	complete	ADJ
ejpam-975	4	35	.	.	PUNCT
ejpam-975	5	1	1	1	X
ejpam-975	5	2	.	.	X
ejpam-975	5	3	introduction	introduction	NOUN
ejpam-975	5	4	&	&	CCONJ
ejpam-975	5	5	preliminaries	preliminary	NOUN
ejpam-975	5	6	throughout	throughout	ADP
ejpam-975	5	7	this	this	DET
ejpam-975	5	8	paper	paper	NOUN
ejpam-975	5	9	let	let	VERB
ejpam-975	5	10	(	(	PUNCT
ejpam-975	5	11	x	x	X
ejpam-975	5	12	,	,	PUNCT
ejpam-975	5	13	d	d	X
ejpam-975	5	14	)	)	PUNCT
ejpam-975	5	15	be	be	AUX
ejpam-975	5	16	a	a	DET
ejpam-975	5	17	metric	metric	ADJ
ejpam-975	5	18	space	space	NOUN
ejpam-975	5	19	and	and	CCONJ
ejpam-975	5	20	h	h	NOUN
ejpam-975	5	21	denotes	denote	VERB
ejpam-975	5	22	the	the	DET
ejpam-975	5	23	housdorff	housdorff	NOUN
ejpam-975	5	24	(	(	PUNCT
ejpam-975	5	25	resp	resp	NOUN
ejpam-975	5	26	.	.	PUNCT
ejpam-975	6	1	generalized	generalize	VERB
ejpam-975	6	2	housdorff	housdorff	NOUN
ejpam-975	6	3	)	)	PUNCT
ejpam-975	6	4	metric	metric	NOUN
ejpam-975	6	5	on	on	ADP
ejpam-975	6	6	cb	cb	PROPN
ejpam-975	6	7	(	(	PUNCT
ejpam-975	6	8	x	x	PROPN
ejpam-975	6	9	)	)	PUNCT
ejpam-975	6	10	(	(	PUNCT
ejpam-975	6	11	resp	resp	NOUN
ejpam-975	6	12	.	.	PUNCT
ejpam-975	7	1	c	c	X
ejpam-975	8	1	l	l	NOUN
ejpam-975	8	2	(	(	PUNCT
ejpam-975	8	3	x	x	NOUN
ejpam-975	8	4	)	)	PUNCT
ejpam-975	8	5	)	)	PUNCT
ejpam-975	8	6	induced	induce	VERB
ejpam-975	8	7	by	by	ADP
ejpam-975	8	8	the	the	DET
ejpam-975	8	9	metric	metric	PROPN
ejpam-975	8	10	d	d	PROPN
ejpam-975	8	11	,	,	PUNCT
ejpam-975	8	12	where	where	SCONJ
ejpam-975	8	13	cb	cb	PROPN
ejpam-975	8	14	(	(	PUNCT
ejpam-975	8	15	x	x	PROPN
ejpam-975	8	16	)	)	PUNCT
ejpam-975	8	17	(	(	PUNCT
ejpam-975	8	18	resp	resp	NOUN
ejpam-975	8	19	.	.	PUNCT
ejpam-975	9	1	c	c	X
ejpam-975	10	1	l	l	NOUN
ejpam-975	10	2	(	(	PUNCT
ejpam-975	10	3	x	x	NOUN
ejpam-975	10	4	)	)	PUNCT
ejpam-975	10	5	)	)	PUNCT
ejpam-975	10	6	is	be	AUX
ejpam-975	10	7	the	the	DET
ejpam-975	10	8	collection	collection	NOUN
ejpam-975	10	9	of	of	ADP
ejpam-975	10	10	all	all	PRON
ejpam-975	10	11	nonempty	nonempty	ADV
ejpam-975	10	12	closed	close	VERB
ejpam-975	10	13	and	and	CCONJ
ejpam-975	10	14	bounded	bound	VERB
ejpam-975	10	15	(	(	PUNCT
ejpam-975	10	16	resp	resp	NOUN
ejpam-975	10	17	.	.	PUNCT
ejpam-975	10	18	closed	closed	ADJ
ejpam-975	10	19	)	)	PUNCT
ejpam-975	10	20	,	,	PUNCT
ejpam-975	10	21	subsets	subset	NOUN
ejpam-975	10	22	of	of	ADP
ejpam-975	10	23	x	x	X
ejpam-975	10	24	.	.	PUNCT
ejpam-975	11	1	for	for	ADP
ejpam-975	11	2	these	these	DET
ejpam-975	11	3	definitions	definition	NOUN
ejpam-975	11	4	one	one	PRON
ejpam-975	11	5	may	may	AUX
ejpam-975	11	6	refer	refer	VERB
ejpam-975	11	7	[	[	NOUN
ejpam-975	11	8	1	1	NUM
ejpam-975	11	9	,	,	PUNCT
ejpam-975	11	10	3	3	NUM
ejpam-975	11	11	,	,	PUNCT
ejpam-975	11	12	6	6	NUM
ejpam-975	11	13	,	,	PUNCT
ejpam-975	11	14	7	7	NUM
ejpam-975	11	15	]	]	PUNCT
ejpam-975	11	16	.	.	PUNCT
ejpam-975	12	1	for	for	ADP
ejpam-975	12	2	y	y	PROPN
ejpam-975	12	3	∈	∈	PROPN
ejpam-975	12	4	x	x	X
ejpam-975	12	5	and	and	CCONJ
ejpam-975	12	6	a⊂	a⊂	NOUN
ejpam-975	12	7	x	x	SYM
ejpam-975	12	8	,	,	PUNCT
ejpam-975	12	9	d	d	PROPN
ejpam-975	12	10	�	�	PROPN
ejpam-975	12	11	y	y	PROPN
ejpam-975	12	12	,	,	PUNCT
ejpam-975	12	13	a	a	DET
ejpam-975	12	14	�	�	PROPN
ejpam-975	12	15	will	will	AUX
ejpam-975	12	16	denote	denote	VERB
ejpam-975	12	17	the	the	DET
ejpam-975	12	18	ordinary	ordinary	ADJ
ejpam-975	12	19	distance	distance	NOUN
ejpam-975	12	20	between	between	ADP
ejpam-975	12	21	y	y	PROPN
ejpam-975	12	22	and	and	CCONJ
ejpam-975	12	23	a.	a.	PROPN
ejpam-975	12	24	a	a	DET
ejpam-975	12	25	map	map	NOUN
ejpam-975	12	26	t	t	NOUN
ejpam-975	12	27	:	:	PUNCT
ejpam-975	12	28	x	x	X
ejpam-975	12	29	→	→	PUNCT
ejpam-975	12	30	x	x	X
ejpam-975	12	31	is	be	AUX
ejpam-975	12	32	said	say	VERB
ejpam-975	12	33	to	to	PART
ejpam-975	12	34	be	be	AUX
ejpam-975	12	35	nonexpansive	nonexpansive	ADJ
ejpam-975	12	36	if	if	SCONJ
ejpam-975	12	37	d	d	PROPN
ejpam-975	12	38	�	�	PROPN
ejpam-975	12	39	t	t	PROPN
ejpam-975	12	40	x	x	X
ejpam-975	12	41	,	,	PUNCT
ejpam-975	12	42	t	t	PROPN
ejpam-975	12	43	y	y	PROPN
ejpam-975	12	44	�	�	PROPN
ejpam-975	12	45	≤	≤	PROPN
ejpam-975	12	46	d	d	PROPN
ejpam-975	12	47	�	�	PROPN
ejpam-975	12	48	x	x	SYM
ejpam-975	12	49	,	,	PUNCT
ejpam-975	12	50	y	y	PROPN
ejpam-975	12	51	�	�	PROPN
ejpam-975	12	52	for	for	ADP
ejpam-975	12	53	all	all	DET
ejpam-975	12	54	x	x	SYM
ejpam-975	12	55	,	,	PUNCT
ejpam-975	12	56	y	y	PROPN
ejpam-975	12	57	∈	∈	PROPN
ejpam-975	12	58	x	x	X
ejpam-975	12	59	.	.	PUNCT
ejpam-975	13	1	ćirić	ćirić	PROPN
ejpam-975	14	1	[	[	X
ejpam-975	14	2	4	4	X
ejpam-975	14	3	]	]	PUNCT
ejpam-975	14	4	investigated	investigate	VERB
ejpam-975	14	5	a	a	DET
ejpam-975	14	6	class	class	NOUN
ejpam-975	14	7	of	of	ADP
ejpam-975	14	8	self	self	NOUN
ejpam-975	14	9	maps	map	NOUN
ejpam-975	14	10	t	t	PROPN
ejpam-975	14	11	of	of	ADP
ejpam-975	14	12	x	x	PRON
ejpam-975	14	13	which	which	PRON
ejpam-975	14	14	satisfy	satisfy	VERB
ejpam-975	14	15	the	the	DET
ejpam-975	14	16	following	follow	VERB
ejpam-975	14	17	nonexpansive	nonexpansive	ADJ
ejpam-975	14	18	type	type	NOUN
ejpam-975	14	19	condition	condition	NOUN
ejpam-975	14	20	:	:	PUNCT
ejpam-975	14	21	d(t	d(t	PROPN
ejpam-975	14	22	x	x	SYM
ejpam-975	14	23	,	,	PUNCT
ejpam-975	14	24	t	t	PROPN
ejpam-975	14	25	y	y	PROPN
ejpam-975	14	26	)	)	PUNCT
ejpam-975	14	27	≤	≤	NOUN
ejpam-975	14	28	a	a	DET
ejpam-975	14	29	max{d(x	max{d(x	PROPN
ejpam-975	14	30	,	,	PUNCT
ejpam-975	14	31	y	y	PROPN
ejpam-975	14	32	)	)	PUNCT
ejpam-975	14	33	,	,	PUNCT
ejpam-975	14	34	d(x	d(x	PROPN
ejpam-975	14	35	,	,	PUNCT
ejpam-975	14	36	t	t	PROPN
ejpam-975	14	37	x	x	PROPN
ejpam-975	14	38	)	)	PUNCT
ejpam-975	14	39	,	,	PUNCT
ejpam-975	14	40	d(y	d(y	PROPN
ejpam-975	14	41	,	,	PUNCT
ejpam-975	14	42	t	t	PROPN
ejpam-975	14	43	y	y	PROPN
ejpam-975	14	44	)	)	PUNCT
ejpam-975	14	45	,	,	PUNCT
ejpam-975	14	46	d(x	d(x	PROPN
ejpam-975	14	47	,	,	PUNCT
ejpam-975	14	48	t	t	PROPN
ejpam-975	14	49	y	y	PROPN
ejpam-975	14	50	)	)	PUNCT
ejpam-975	15	1	+	+	CCONJ
ejpam-975	15	2	d(y	d(y	PROPN
ejpam-975	15	3	,	,	PUNCT
ejpam-975	15	4	t	t	NOUN
ejpam-975	15	5	x	x	PROPN
ejpam-975	15	6	)	)	PUNCT
ejpam-975	15	7	2	2	NUM
ejpam-975	15	8	}	}	PUNCT
ejpam-975	15	9	+	+	NUM
ejpam-975	15	10	b	b	X
ejpam-975	15	11	max{d(x	max{d(x	PROPN
ejpam-975	15	12	,	,	PUNCT
ejpam-975	15	13	t	t	PROPN
ejpam-975	15	14	x	x	PROPN
ejpam-975	15	15	)	)	PUNCT
ejpam-975	15	16	,	,	PUNCT
ejpam-975	15	17	d(y	d(y	PROPN
ejpam-975	15	18	,	,	PUNCT
ejpam-975	15	19	t	t	PROPN
ejpam-975	15	20	y)}+	y)}+	NUM
ejpam-975	15	21	c[d(x	c[d(x	NOUN
ejpam-975	15	22	,	,	PUNCT
ejpam-975	15	23	t	t	PROPN
ejpam-975	15	24	y	y	PROPN
ejpam-975	15	25	)	)	PUNCT
ejpam-975	16	1	+	+	CCONJ
ejpam-975	16	2	d(y	d(y	PROPN
ejpam-975	16	3	,	,	PUNCT
ejpam-975	16	4	t	t	NOUN
ejpam-975	16	5	x	x	PROPN
ejpam-975	16	6	)	)	PUNCT
ejpam-975	16	7	]	]	PUNCT
ejpam-975	16	8	(	(	PUNCT
ejpam-975	16	9	1	1	X
ejpam-975	16	10	)	)	PUNCT
ejpam-975	16	11	∗corresponding	∗corresponde	VERB
ejpam-975	16	12	author	author	NOUN
ejpam-975	16	13	.	.	PUNCT
ejpam-975	17	1	email	email	NOUN
ejpam-975	17	2	addresses	address	NOUN
ejpam-975	17	3	:	:	PUNCT
ejpam-975	17	4	pmathsjhade	pmathsjhade	PROPN
ejpam-975	17	5	�	�	PROPN
ejpam-975	17	6	gmail	gmail	NOUN
ejpam-975	17	7	.	.	PUNCT
ejpam-975	18	1	om	om	PROPN
ejpam-975	18	2	(	(	PUNCT
ejpam-975	18	3	p.	p.	NOUN
ejpam-975	18	4	jhade	jhade	PROPN
ejpam-975	18	5	)	)	PUNCT
ejpam-975	18	6	,	,	PUNCT
ejpam-975	18	7	dssaluja	dssaluja	PROPN
ejpam-975	18	8	�	�	PROPN
ejpam-975	18	9	rediffmail	rediffmail	NOUN
ejpam-975	18	10	.	.	PUNCT
ejpam-975	19	1	om	om	PROPN
ejpam-975	19	2	(	(	PUNCT
ejpam-975	19	3	a.	a.	NOUN
ejpam-975	19	4	saluja	saluja	PROPN
ejpam-975	19	5	)	)	PUNCT
ejpam-975	19	6	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-975	20	1	330	330	NUM
ejpam-975	20	2	c	c	NOUN
ejpam-975	20	3	©	©	PROPN
ejpam-975	20	4	2011	2011	NUM
ejpam-975	20	5	ejpam	ejpam	NOUN
ejpam-975	20	6	all	all	DET
ejpam-975	20	7	rights	right	NOUN
ejpam-975	20	8	reserved	reserve	VERB
ejpam-975	20	9	.	.	PUNCT
ejpam-975	21	1	p.	p.	NOUN
ejpam-975	21	2	jhade	jhade	PROPN
ejpam-975	21	3	,	,	PUNCT
ejpam-975	21	4	a.	a.	NOUN
ejpam-975	21	5	saluja	saluja	PROPN
ejpam-975	21	6	,	,	PUNCT
ejpam-975	21	7	r.	r.	PROPN
ejpam-975	21	8	kushwah	kushwah	PROPN
ejpam-975	21	9	/	/	SYM
ejpam-975	21	10	eur	eur	PROPN
ejpam-975	21	11	.	.	PUNCT
ejpam-975	22	1	j.	j.	PROPN
ejpam-975	22	2	pure	pure	PROPN
ejpam-975	22	3	appl	appl	PROPN
ejpam-975	22	4	.	.	PROPN
ejpam-975	22	5	math	math	PROPN
ejpam-975	22	6	,	,	PUNCT
ejpam-975	22	7	4	4	NUM
ejpam-975	22	8	(	(	PUNCT
ejpam-975	22	9	2011	2011	NUM
ejpam-975	22	10	)	)	PUNCT
ejpam-975	22	11	,	,	PUNCT
ejpam-975	22	12	330	330	NUM
ejpam-975	22	13	-	-	SYM
ejpam-975	22	14	339	339	NUM
ejpam-975	22	15	331	331	NUM
ejpam-975	22	16	for	for	ADP
ejpam-975	22	17	all	all	PRON
ejpam-975	22	18	x	x	SYM
ejpam-975	22	19	,	,	PUNCT
ejpam-975	22	20	y	y	PROPN
ejpam-975	22	21	∈	∈	PROPN
ejpam-975	22	22	x	x	X
ejpam-975	22	23	,	,	PUNCT
ejpam-975	22	24	where	where	SCONJ
ejpam-975	22	25	a	a	DET
ejpam-975	22	26	,	,	PUNCT
ejpam-975	22	27	b	b	NOUN
ejpam-975	22	28	,	,	PUNCT
ejpam-975	22	29	c	c	X
ejpam-975	22	30	≥	≥	NUM
ejpam-975	22	31	0	0	NUM
ejpam-975	22	32	such	such	ADJ
ejpam-975	22	33	that	that	SCONJ
ejpam-975	22	34	a+	a+	PUNCT
ejpam-975	22	35	b+	b+	X
ejpam-975	22	36	2c	2c	NOUN
ejpam-975	22	37	=	=	SYM
ejpam-975	22	38	1	1	X
ejpam-975	22	39	.	.	PUNCT
ejpam-975	22	40	m.	m.	NOUN
ejpam-975	22	41	chandra	chandra	PROPN
ejpam-975	22	42	et	et	PROPN
ejpam-975	22	43	al	al	PROPN
ejpam-975	23	1	[	[	X
ejpam-975	23	2	2	2	NUM
ejpam-975	23	3	]	]	PUNCT
ejpam-975	23	4	consider	consider	VERB
ejpam-975	23	5	the	the	DET
ejpam-975	23	6	following	follow	VERB
ejpam-975	23	7	generalization	generalization	NOUN
ejpam-975	23	8	of	of	ADP
ejpam-975	23	9	(	(	PUNCT
ejpam-975	23	10	1	1	NUM
ejpam-975	23	11	)	)	PUNCT
ejpam-975	23	12	,	,	PUNCT
ejpam-975	23	13	let	let	VERB
ejpam-975	23	14	t	t	PROPN
ejpam-975	23	15	,	,	PUNCT
ejpam-975	23	16	f	f	X
ejpam-975	23	17	:	:	PUNCT
ejpam-975	23	18	x	x	X
ejpam-975	23	19	→	→	SYM
ejpam-975	23	20	x	x	SYM
ejpam-975	23	21	satisfying	satisfy	VERB
ejpam-975	23	22	:	:	PUNCT
ejpam-975	23	23	d(t	d(t	PROPN
ejpam-975	23	24	x	x	SYM
ejpam-975	23	25	,	,	PUNCT
ejpam-975	23	26	t	t	PROPN
ejpam-975	23	27	y)≤	y)≤	PROPN
ejpam-975	23	28	a(x	a(x	PROPN
ejpam-975	23	29	,	,	PUNCT
ejpam-975	23	30	y)d	y)d	PROPN
ejpam-975	23	31	(	(	PUNCT
ejpam-975	23	32	f	f	NOUN
ejpam-975	23	33	x	x	X
ejpam-975	23	34	,	,	PUNCT
ejpam-975	23	35	f	f	PROPN
ejpam-975	23	36	y	y	PROPN
ejpam-975	23	37	)	)	PUNCT
ejpam-975	23	38	+	+	CCONJ
ejpam-975	24	1	b(x	b(x	PROPN
ejpam-975	24	2	,	,	PUNCT
ejpam-975	24	3	y)max{d	y)max{d	PROPN
ejpam-975	24	4	(	(	PUNCT
ejpam-975	24	5	f	f	NOUN
ejpam-975	24	6	x	x	PROPN
ejpam-975	24	7	,	,	PUNCT
ejpam-975	24	8	t	t	PROPN
ejpam-975	24	9	x	x	PROPN
ejpam-975	24	10	)	)	PUNCT
ejpam-975	24	11	,	,	PUNCT
ejpam-975	25	1	d	d	PROPN
ejpam-975	25	2	(	(	PUNCT
ejpam-975	25	3	f	f	PROPN
ejpam-975	25	4	y	y	PROPN
ejpam-975	25	5	,	,	PUNCT
ejpam-975	25	6	t	t	PROPN
ejpam-975	25	7	y	y	PROPN
ejpam-975	25	8	)	)	PUNCT
ejpam-975	25	9	}	}	PUNCT
ejpam-975	26	1	+	+	CCONJ
ejpam-975	26	2	c(x	c(x	NOUN
ejpam-975	26	3	,	,	PUNCT
ejpam-975	26	4	y)[d	y)[d	PROPN
ejpam-975	26	5	(	(	PUNCT
ejpam-975	26	6	f	f	PROPN
ejpam-975	26	7	x	x	PROPN
ejpam-975	26	8	,	,	PUNCT
ejpam-975	26	9	t	t	PROPN
ejpam-975	26	10	y	y	PROPN
ejpam-975	26	11	)	)	PUNCT
ejpam-975	27	1	+	+	CCONJ
ejpam-975	28	1	d	d	X
ejpam-975	28	2	(	(	PUNCT
ejpam-975	28	3	f	f	PROPN
ejpam-975	28	4	y	y	PROPN
ejpam-975	28	5	,	,	PUNCT
ejpam-975	28	6	t	t	PROPN
ejpam-975	28	7	x	x	PROPN
ejpam-975	28	8	)	)	PUNCT
ejpam-975	28	9	]	]	PUNCT
ejpam-975	28	10	(	(	PUNCT
ejpam-975	28	11	2	2	X
ejpam-975	28	12	)	)	PUNCT
ejpam-975	28	13	where	where	SCONJ
ejpam-975	28	14	,	,	PUNCT
ejpam-975	28	15	a(x	a(x	NOUN
ejpam-975	28	16	,	,	PUNCT
ejpam-975	28	17	y)≥	y)≥	PROPN
ejpam-975	28	18	0	0	NUM
ejpam-975	28	19	,	,	PUNCT
ejpam-975	28	20	β	β	X
ejpam-975	28	21	=	=	SYM
ejpam-975	28	22	infx	infx	NOUN
ejpam-975	28	23	,	,	PUNCT
ejpam-975	28	24	y∈x	y∈x	NOUN
ejpam-975	28	25	b(x	b(x	NOUN
ejpam-975	28	26	,	,	PUNCT
ejpam-975	28	27	y	y	PROPN
ejpam-975	28	28	)	)	PUNCT
ejpam-975	28	29	>	>	X
ejpam-975	28	30	0	0	NUM
ejpam-975	28	31	,	,	PUNCT
ejpam-975	28	32	γ=	γ=	PROPN
ejpam-975	28	33	infx	infx	NOUN
ejpam-975	28	34	,	,	PUNCT
ejpam-975	28	35	y∈x	y∈x	PROPN
ejpam-975	28	36	c(x	c(x	NOUN
ejpam-975	28	37	,	,	PUNCT
ejpam-975	28	38	y	y	PROPN
ejpam-975	28	39	)	)	PUNCT
ejpam-975	28	40	>	>	X
ejpam-975	28	41	0	0	PUNCT
ejpam-975	28	42	and	and	CCONJ
ejpam-975	28	43	supx	supx	PROPN
ejpam-975	28	44	,	,	PUNCT
ejpam-975	28	45	y∈x	y∈x	NOUN
ejpam-975	29	1	[	[	X
ejpam-975	29	2	a(x	a(x	NOUN
ejpam-975	29	3	,	,	PUNCT
ejpam-975	29	4	y	y	PROPN
ejpam-975	29	5	)	)	PUNCT
ejpam-975	30	1	+	+	CCONJ
ejpam-975	31	1	b(x	b(x	NOUN
ejpam-975	31	2	,	,	PUNCT
ejpam-975	31	3	y	y	PROPN
ejpam-975	31	4	)	)	PUNCT
ejpam-975	31	5	+	+	NUM
ejpam-975	31	6	2c(x	2c(x	NOUN
ejpam-975	31	7	,	,	PUNCT
ejpam-975	31	8	y	y	PROPN
ejpam-975	31	9	)	)	PUNCT
ejpam-975	31	10	]	]	PUNCT
ejpam-975	32	1	=	=	SYM
ejpam-975	32	2	1	1	NUM
ejpam-975	32	3	and	and	CCONJ
ejpam-975	32	4	prove	prove	VERB
ejpam-975	32	5	some	some	DET
ejpam-975	32	6	fixed	fix	VERB
ejpam-975	32	7	point	point	NOUN
ejpam-975	32	8	theorems	theorem	NOUN
ejpam-975	32	9	for	for	ADP
ejpam-975	32	10	single	single	ADJ
ejpam-975	32	11	valued	value	VERB
ejpam-975	32	12	and	and	CCONJ
ejpam-975	32	13	multi	multi	ADJ
ejpam-975	32	14	valued	value	VERB
ejpam-975	32	15	maps	map	NOUN
ejpam-975	32	16	.	.	PUNCT
ejpam-975	33	1	they	they	PRON
ejpam-975	33	2	also	also	ADV
ejpam-975	33	3	prove	prove	VERB
ejpam-975	33	4	that	that	SCONJ
ejpam-975	33	5	(	(	PUNCT
ejpam-975	33	6	1	1	X
ejpam-975	33	7	)	)	PUNCT
ejpam-975	33	8	contained	contain	VERB
ejpam-975	33	9	in	in	ADP
ejpam-975	33	10	(	(	PUNCT
ejpam-975	33	11	2	2	NUM
ejpam-975	33	12	)	)	PUNCT
ejpam-975	33	13	.	.	PUNCT
ejpam-975	34	1	in	in	ADP
ejpam-975	34	2	this	this	DET
ejpam-975	34	3	paper	paper	NOUN
ejpam-975	34	4	we	we	PRON
ejpam-975	34	5	use	use	VERB
ejpam-975	34	6	the	the	DET
ejpam-975	34	7	following	follow	VERB
ejpam-975	34	8	nonexpansive	nonexpansive	ADJ
ejpam-975	34	9	type	type	NOUN
ejpam-975	34	10	condition	condition	NOUN
ejpam-975	34	11	:	:	PUNCT
ejpam-975	34	12	let	let	VERB
ejpam-975	34	13	t	t	PROPN
ejpam-975	34	14	,	,	PUNCT
ejpam-975	34	15	f	f	X
ejpam-975	34	16	:	:	PUNCT
ejpam-975	34	17	x	x	X
ejpam-975	34	18	→	→	PUNCT
ejpam-975	34	19	x	x	PUNCT
ejpam-975	34	20	be	be	AUX
ejpam-975	34	21	two	two	NUM
ejpam-975	34	22	self	self	NOUN
ejpam-975	34	23	mappings	mapping	NOUN
ejpam-975	34	24	satisfying	satisfy	VERB
ejpam-975	34	25	the	the	DET
ejpam-975	34	26	condition	condition	NOUN
ejpam-975	34	27	,	,	PUNCT
ejpam-975	34	28	d(t	d(t	PROPN
ejpam-975	34	29	x	x	SYM
ejpam-975	34	30	,	,	PUNCT
ejpam-975	34	31	t	t	PROPN
ejpam-975	34	32	y)≤	y)≤	PROPN
ejpam-975	34	33	a(x	a(x	PROPN
ejpam-975	34	34	,	,	PUNCT
ejpam-975	34	35	y)d	y)d	PROPN
ejpam-975	34	36	(	(	PUNCT
ejpam-975	34	37	f	f	NOUN
ejpam-975	34	38	x	x	X
ejpam-975	34	39	,	,	PUNCT
ejpam-975	34	40	f	f	PROPN
ejpam-975	34	41	y	y	PROPN
ejpam-975	34	42	)	)	PUNCT
ejpam-975	35	1	+	+	CCONJ
ejpam-975	36	1	b(x	b(x	PROPN
ejpam-975	36	2	,	,	PUNCT
ejpam-975	36	3	y)max{d	y)max{d	PROPN
ejpam-975	36	4	(	(	PUNCT
ejpam-975	36	5	f	f	NOUN
ejpam-975	36	6	x	x	PROPN
ejpam-975	36	7	,	,	PUNCT
ejpam-975	36	8	t	t	PROPN
ejpam-975	36	9	x	x	PROPN
ejpam-975	36	10	)	)	PUNCT
ejpam-975	36	11	,	,	PUNCT
ejpam-975	36	12	d	d	PROPN
ejpam-975	36	13	(	(	PUNCT
ejpam-975	36	14	f	f	PROPN
ejpam-975	36	15	y	y	PROPN
ejpam-975	36	16	,	,	PUNCT
ejpam-975	36	17	t	t	PROPN
ejpam-975	36	18	y	y	PROPN
ejpam-975	36	19	)	)	PUNCT
ejpam-975	36	20	}	}	PUNCT
ejpam-975	37	1	+	+	CCONJ
ejpam-975	37	2	c(x	c(x	NOUN
ejpam-975	37	3	,	,	PUNCT
ejpam-975	37	4	y)max{d	y)max{d	PROPN
ejpam-975	37	5	(	(	PUNCT
ejpam-975	37	6	f	f	NOUN
ejpam-975	37	7	x	x	PROPN
ejpam-975	37	8	,	,	PUNCT
ejpam-975	37	9	f	f	PROPN
ejpam-975	37	10	y	y	PROPN
ejpam-975	37	11	)	)	PUNCT
ejpam-975	37	12	,	,	PUNCT
ejpam-975	38	1	d	d	X
ejpam-975	38	2	(	(	PUNCT
ejpam-975	38	3	f	f	NOUN
ejpam-975	38	4	x	x	X
ejpam-975	38	5	,	,	PUNCT
ejpam-975	38	6	t	t	PROPN
ejpam-975	38	7	x	x	PROPN
ejpam-975	38	8	)	)	PUNCT
ejpam-975	38	9	,	,	PUNCT
ejpam-975	38	10	d	d	PROPN
ejpam-975	38	11	(	(	PUNCT
ejpam-975	38	12	f	f	PROPN
ejpam-975	38	13	y	y	PROPN
ejpam-975	38	14	,	,	PUNCT
ejpam-975	38	15	t	t	PROPN
ejpam-975	38	16	y	y	PROPN
ejpam-975	38	17	)	)	PUNCT
ejpam-975	38	18	}	}	PUNCT
ejpam-975	39	1	+	+	NUM
ejpam-975	39	2	e(x	e(x	NUM
ejpam-975	39	3	,	,	PUNCT
ejpam-975	39	4	y)max{d	y)max{d	PROPN
ejpam-975	39	5	(	(	PUNCT
ejpam-975	39	6	f	f	NOUN
ejpam-975	39	7	x	x	PROPN
ejpam-975	39	8	,	,	PUNCT
ejpam-975	39	9	f	f	PROPN
ejpam-975	39	10	y	y	PROPN
ejpam-975	39	11	)	)	PUNCT
ejpam-975	39	12	,	,	PUNCT
ejpam-975	40	1	d	d	X
ejpam-975	40	2	(	(	PUNCT
ejpam-975	40	3	f	f	NOUN
ejpam-975	40	4	x	x	X
ejpam-975	40	5	,	,	PUNCT
ejpam-975	40	6	t	t	PROPN
ejpam-975	40	7	x	x	PROPN
ejpam-975	40	8	)	)	PUNCT
ejpam-975	40	9	,	,	PUNCT
ejpam-975	40	10	d	d	PROPN
ejpam-975	40	11	(	(	PUNCT
ejpam-975	40	12	f	f	PROPN
ejpam-975	40	13	y	y	PROPN
ejpam-975	40	14	,	,	PUNCT
ejpam-975	40	15	t	t	PROPN
ejpam-975	40	16	y	y	PROPN
ejpam-975	40	17	)	)	PUNCT
ejpam-975	40	18	,	,	PUNCT
ejpam-975	41	1	d	d	X
ejpam-975	41	2	(	(	PUNCT
ejpam-975	41	3	f	f	NOUN
ejpam-975	41	4	x	x	X
ejpam-975	41	5	,	,	PUNCT
ejpam-975	41	6	t	t	PROPN
ejpam-975	41	7	y	y	PROPN
ejpam-975	41	8	)	)	PUNCT
ejpam-975	41	9	}	}	PUNCT
ejpam-975	41	10	(	(	PUNCT
ejpam-975	41	11	3	3	X
ejpam-975	41	12	)	)	PUNCT
ejpam-975	41	13	where	where	SCONJ
ejpam-975	41	14	a(x	a(x	NOUN
ejpam-975	41	15	,	,	PUNCT
ejpam-975	41	16	y	y	PROPN
ejpam-975	41	17	)	)	PUNCT
ejpam-975	41	18	,	,	PUNCT
ejpam-975	41	19	b(x	b(x	NOUN
ejpam-975	41	20	,	,	PUNCT
ejpam-975	41	21	y	y	PROPN
ejpam-975	41	22	)	)	PUNCT
ejpam-975	41	23	,	,	PUNCT
ejpam-975	41	24	c(x	c(x	NOUN
ejpam-975	41	25	,	,	PUNCT
ejpam-975	41	26	y	y	PROPN
ejpam-975	41	27	)	)	PUNCT
ejpam-975	41	28	,	,	PUNCT
ejpam-975	41	29	e(x	e(x	NUM
ejpam-975	41	30	,	,	PUNCT
ejpam-975	41	31	y	y	PROPN
ejpam-975	41	32	)	)	PUNCT
ejpam-975	41	33	≥	≥	NOUN
ejpam-975	41	34	0	0	NUM
ejpam-975	41	35	and	and	CCONJ
ejpam-975	41	36	β	β	X
ejpam-975	41	37	=	=	SYM
ejpam-975	41	38	infx	infx	NOUN
ejpam-975	41	39	,	,	PUNCT
ejpam-975	41	40	y∈x	y∈x	PROPN
ejpam-975	41	41	e(x	e(x	NUM
ejpam-975	41	42	,	,	PUNCT
ejpam-975	41	43	y	y	PROPN
ejpam-975	41	44	)	)	PUNCT
ejpam-975	41	45	>	>	X
ejpam-975	41	46	0	0	NUM
ejpam-975	41	47	,	,	PUNCT
ejpam-975	41	48	γ=	γ=	PROPN
ejpam-975	41	49	infx	infx	NOUN
ejpam-975	41	50	,	,	PUNCT
ejpam-975	41	51	y∈x	y∈x	NOUN
ejpam-975	41	52	(	(	PUNCT
ejpam-975	41	53	1+b(x	1+b(x	ADJ
ejpam-975	41	54	,	,	PUNCT
ejpam-975	41	55	y)+e(x	y)+e(x	PROPN
ejpam-975	41	56	,	,	PUNCT
ejpam-975	41	57	y	y	NOUN
ejpam-975	41	58	)	)	PUNCT
ejpam-975	41	59	)	)	PUNCT
ejpam-975	41	60	>	>	X
ejpam-975	41	61	0	0	PUNCT
ejpam-975	41	62	with	with	ADP
ejpam-975	41	63	supx	supx	PROPN
ejpam-975	41	64	,	,	PUNCT
ejpam-975	41	65	y∈x	y∈x	NOUN
ejpam-975	41	66	(	(	PUNCT
ejpam-975	41	67	a(x	a(x	NOUN
ejpam-975	41	68	,	,	PUNCT
ejpam-975	41	69	y)+b(x	y)+b(x	PROPN
ejpam-975	41	70	,	,	PUNCT
ejpam-975	41	71	y)+c(x	y)+c(x	NOUN
ejpam-975	41	72	,	,	PUNCT
ejpam-975	41	73	y)+2e(x	y)+2e(x	PROPN
ejpam-975	41	74	,	,	PUNCT
ejpam-975	41	75	y	y	NOUN
ejpam-975	41	76	)	)	PUNCT
ejpam-975	41	77	)	)	PUNCT
ejpam-975	42	1	=	=	PUNCT
ejpam-975	42	2	1	1	X
ejpam-975	42	3	.	.	X
ejpam-975	42	4	definition	definition	NOUN
ejpam-975	42	5	1	1	NUM
ejpam-975	42	6	(	(	PUNCT
ejpam-975	42	7	[	[	X
ejpam-975	42	8	5	5	NUM
ejpam-975	42	9	]	]	PUNCT
ejpam-975	42	10	)	)	PUNCT
ejpam-975	42	11	.	.	PUNCT
ejpam-975	43	1	let	let	VERB
ejpam-975	43	2	f	f	PROPN
ejpam-975	43	3	and	and	CCONJ
ejpam-975	43	4	g	g	PROPN
ejpam-975	43	5	be	be	AUX
ejpam-975	43	6	two	two	NUM
ejpam-975	43	7	self	self	NOUN
ejpam-975	43	8	maps	map	NOUN
ejpam-975	43	9	of	of	ADP
ejpam-975	43	10	a	a	DET
ejpam-975	43	11	metric	metric	ADJ
ejpam-975	43	12	space	space	NOUN
ejpam-975	43	13	x	x	X
ejpam-975	43	14	.	.	PUNCT
ejpam-975	44	1	then	then	ADV
ejpam-975	44	2	f	f	PROPN
ejpam-975	44	3	and	and	CCONJ
ejpam-975	44	4	g	g	PROPN
ejpam-975	44	5	are	be	AUX
ejpam-975	44	6	said	say	VERB
ejpam-975	44	7	to	to	PART
ejpam-975	44	8	be	be	AUX
ejpam-975	44	9	compatible	compatible	ADJ
ejpam-975	44	10	if	if	SCONJ
ejpam-975	44	11	limn→∞	limn→∞	PROPN
ejpam-975	44	12	d	d	X
ejpam-975	44	13	(	(	PUNCT
ejpam-975	44	14	f	f	PROPN
ejpam-975	44	15	g	g	PROPN
ejpam-975	44	16	xn	xn	PROPN
ejpam-975	44	17	,	,	PUNCT
ejpam-975	44	18	g	g	PROPN
ejpam-975	44	19	f	f	PROPN
ejpam-975	44	20	xn	xn	PROPN
ejpam-975	44	21	)	)	PUNCT
ejpam-975	45	1	=	=	SYM
ejpam-975	45	2	0	0	NUM
ejpam-975	45	3	,	,	PUNCT
ejpam-975	45	4	whenever	whenever	SCONJ
ejpam-975	45	5	{	{	PUNCT
ejpam-975	45	6	xn	xn	X
ejpam-975	45	7	}	}	PUNCT
ejpam-975	45	8	is	be	AUX
ejpam-975	45	9	a	a	DET
ejpam-975	45	10	sequence	sequence	NOUN
ejpam-975	45	11	such	such	ADJ
ejpam-975	45	12	that	that	SCONJ
ejpam-975	45	13	limn→∞	limn→∞	PROPN
ejpam-975	46	1	f	f	X
ejpam-975	46	2	xn	xn	PUNCT
ejpam-975	46	3	=	=	PUNCT
ejpam-975	46	4	limn→∞	limn→∞	PROPN
ejpam-975	46	5	g	g	NOUN
ejpam-975	46	6	xn	xn	PROPN
ejpam-975	47	1	=	=	SYM
ejpam-975	47	2	t	t	PROPN
ejpam-975	47	3	∈	∈	PROPN
ejpam-975	47	4	x	x	X
ejpam-975	47	5	.	.	PUNCT
ejpam-975	48	1	2	2	X
ejpam-975	48	2	.	.	X
ejpam-975	48	3	main	main	ADJ
ejpam-975	48	4	results	result	NOUN
ejpam-975	48	5	theorem	theorem	VERB
ejpam-975	48	6	1	1	NUM
ejpam-975	48	7	.	.	PUNCT
ejpam-975	49	1	let	let	AUX
ejpam-975	49	2	(	(	PUNCT
ejpam-975	49	3	x	x	X
ejpam-975	49	4	,	,	PUNCT
ejpam-975	49	5	d	d	X
ejpam-975	49	6	)	)	PUNCT
ejpam-975	49	7	be	be	AUX
ejpam-975	49	8	a	a	DET
ejpam-975	49	9	metric	metric	ADJ
ejpam-975	49	10	space	space	NOUN
ejpam-975	49	11	,	,	PUNCT
ejpam-975	49	12	t	t	PROPN
ejpam-975	49	13	,	,	PUNCT
ejpam-975	49	14	f	f	PROPN
ejpam-975	49	15	are	be	AUX
ejpam-975	49	16	self	self	NOUN
ejpam-975	49	17	maps	map	NOUN
ejpam-975	49	18	of	of	ADP
ejpam-975	49	19	x	x	PUNCT
ejpam-975	49	20	satisfying	satisfy	VERB
ejpam-975	49	21	(	(	PUNCT
ejpam-975	49	22	3	3	NUM
ejpam-975	49	23	)	)	PUNCT
ejpam-975	49	24	with	with	ADP
ejpam-975	49	25	t	t	PROPN
ejpam-975	49	26	(	(	PUNCT
ejpam-975	49	27	x	x	X
ejpam-975	49	28	)	)	PUNCT
ejpam-975	49	29	⊆	⊆	NUM
ejpam-975	49	30	f	f	X
ejpam-975	49	31	(	(	PUNCT
ejpam-975	49	32	x	x	PROPN
ejpam-975	49	33	)	)	PUNCT
ejpam-975	49	34	and	and	CCONJ
ejpam-975	49	35	either	either	CCONJ
ejpam-975	49	36	(	(	PUNCT
ejpam-975	49	37	a	a	X
ejpam-975	49	38	)	)	PUNCT
ejpam-975	49	39	x	x	X
ejpam-975	49	40	is	be	AUX
ejpam-975	49	41	complete	complete	ADJ
ejpam-975	49	42	and	and	CCONJ
ejpam-975	49	43	f	f	PROPN
ejpam-975	49	44	is	be	AUX
ejpam-975	49	45	surjective	surjective	ADJ
ejpam-975	49	46	;	;	PUNCT
ejpam-975	49	47	or	or	CCONJ
ejpam-975	49	48	(	(	PUNCT
ejpam-975	49	49	b	b	X
ejpam-975	49	50	)	)	PUNCT
ejpam-975	49	51	x	x	X
ejpam-975	49	52	is	be	AUX
ejpam-975	49	53	complete	complete	ADJ
ejpam-975	49	54	,	,	PUNCT
ejpam-975	49	55	f	f	PROPN
ejpam-975	49	56	is	be	AUX
ejpam-975	49	57	continuous	continuous	ADJ
ejpam-975	49	58	and	and	CCONJ
ejpam-975	49	59	t	t	PROPN
ejpam-975	49	60	,	,	PUNCT
ejpam-975	49	61	f	f	PROPN
ejpam-975	49	62	are	be	AUX
ejpam-975	49	63	compatible	compatible	ADJ
ejpam-975	49	64	;	;	PUNCT
ejpam-975	49	65	or	or	CCONJ
ejpam-975	49	66	(	(	PUNCT
ejpam-975	49	67	c	c	X
ejpam-975	49	68	)	)	PUNCT
ejpam-975	49	69	f	f	NOUN
ejpam-975	49	70	(	(	PUNCT
ejpam-975	49	71	x	x	X
ejpam-975	49	72	)	)	PUNCT
ejpam-975	49	73	is	be	AUX
ejpam-975	49	74	complete	complete	ADJ
ejpam-975	49	75	;	;	PUNCT
ejpam-975	49	76	or	or	CCONJ
ejpam-975	49	77	(	(	PUNCT
ejpam-975	49	78	d	d	X
ejpam-975	49	79	)	)	PUNCT
ejpam-975	49	80	t	t	NOUN
ejpam-975	49	81	(	(	PUNCT
ejpam-975	49	82	x	x	X
ejpam-975	49	83	)	)	PUNCT
ejpam-975	49	84	is	be	AUX
ejpam-975	49	85	complete	complete	ADJ
ejpam-975	49	86	.	.	PUNCT
ejpam-975	50	1	then	then	ADV
ejpam-975	50	2	f	f	PROPN
ejpam-975	50	3	and	and	CCONJ
ejpam-975	50	4	t	t	PROPN
ejpam-975	50	5	have	have	VERB
ejpam-975	50	6	a	a	DET
ejpam-975	50	7	coincidence	coincidence	NOUN
ejpam-975	50	8	point	point	NOUN
ejpam-975	50	9	in	in	ADP
ejpam-975	50	10	x	x	X
ejpam-975	50	11	.	.	PUNCT
ejpam-975	51	1	further	far	ADV
ejpam-975	51	2	,	,	PUNCT
ejpam-975	51	3	the	the	DET
ejpam-975	51	4	coincidence	coincidence	NOUN
ejpam-975	51	5	value	value	NOUN
ejpam-975	51	6	is	be	AUX
ejpam-975	51	7	unique	unique	ADJ
ejpam-975	51	8	,	,	PUNCT
ejpam-975	51	9	i.e.	i.e.	X
ejpam-975	51	10	f	f	X
ejpam-975	51	11	p	p	NOUN
ejpam-975	51	12	=	=	X
ejpam-975	51	13	f	f	PROPN
ejpam-975	52	1	q	q	NOUN
ejpam-975	53	1	whenever	whenever	SCONJ
ejpam-975	53	2	f	f	X
ejpam-975	53	3	p	p	X
ejpam-975	53	4	=	=	PROPN
ejpam-975	53	5	t	t	PROPN
ejpam-975	53	6	p	p	NOUN
ejpam-975	53	7	and	and	CCONJ
ejpam-975	53	8	f	f	NOUN
ejpam-975	53	9	q	q	NOUN
ejpam-975	54	1	=	=	PUNCT
ejpam-975	54	2	tq	tq	INTJ
ejpam-975	54	3	(	(	PUNCT
ejpam-975	54	4	p	p	NOUN
ejpam-975	54	5	,	,	PUNCT
ejpam-975	54	6	q	q	NOUN
ejpam-975	54	7	∈	∈	PROPN
ejpam-975	54	8	x	x	X
ejpam-975	54	9	)	)	PUNCT
ejpam-975	54	10	.	.	PUNCT
ejpam-975	55	1	proof	proof	NOUN
ejpam-975	55	2	.	.	PUNCT
ejpam-975	56	1	let	let	VERB
ejpam-975	56	2	x0	x0	PROPN
ejpam-975	56	3	∈	∈	PROPN
ejpam-975	56	4	x	x	X
ejpam-975	56	5	.	.	PUNCT
ejpam-975	57	1	since	since	SCONJ
ejpam-975	57	2	t	t	PROPN
ejpam-975	57	3	(	(	PUNCT
ejpam-975	57	4	x	x	X
ejpam-975	57	5	)	)	PUNCT
ejpam-975	57	6	⊆	⊆	NUM
ejpam-975	57	7	f	f	X
ejpam-975	57	8	(	(	PUNCT
ejpam-975	57	9	x	x	PROPN
ejpam-975	57	10	)	)	PUNCT
ejpam-975	57	11	,	,	PUNCT
ejpam-975	57	12	choose	choose	VERB
ejpam-975	57	13	x1	x1	PROPN
ejpam-975	57	14	so	so	SCONJ
ejpam-975	57	15	that	that	SCONJ
ejpam-975	57	16	y1	y1	NOUN
ejpam-975	58	1	=	=	PUNCT
ejpam-975	58	2	f	f	X
ejpam-975	59	1	x1	x1	PROPN
ejpam-975	59	2	=	=	SYM
ejpam-975	59	3	t	t	PROPN
ejpam-975	59	4	x0	x0	PROPN
ejpam-975	59	5	.	.	PUNCT
ejpam-975	60	1	in	in	ADP
ejpam-975	60	2	general	general	ADJ
ejpam-975	60	3	,	,	PUNCT
ejpam-975	60	4	choose	choose	VERB
ejpam-975	60	5	xn+1	xn+1	NUM
ejpam-975	60	6	such	such	ADJ
ejpam-975	60	7	that	that	SCONJ
ejpam-975	60	8	yn+1	yn+1	PROPN
ejpam-975	60	9	=	=	PUNCT
ejpam-975	60	10	f	f	X
ejpam-975	60	11	xn+1	xn+1	PROPN
ejpam-975	60	12	=	=	SYM
ejpam-975	60	13	t	t	PROPN
ejpam-975	60	14	xn	xn	PROPN
ejpam-975	60	15	.	.	PUNCT
ejpam-975	61	1	from	from	ADP
ejpam-975	61	2	(	(	PUNCT
ejpam-975	61	3	3	3	NUM
ejpam-975	61	4	)	)	PUNCT
ejpam-975	61	5	,	,	PUNCT
ejpam-975	61	6	we	we	PRON
ejpam-975	61	7	have	have	VERB
ejpam-975	61	8	d(t	d(t	PROPN
ejpam-975	61	9	xn	xn	PROPN
ejpam-975	61	10	,	,	PUNCT
ejpam-975	61	11	t	t	PROPN
ejpam-975	61	12	xn+1)≤	xn+1)≤	PUNCT
ejpam-975	61	13	ad	ad	NOUN
ejpam-975	61	14	(	(	PUNCT
ejpam-975	61	15	f	f	PROPN
ejpam-975	61	16	xn	xn	PROPN
ejpam-975	61	17	,	,	PUNCT
ejpam-975	61	18	f	f	PROPN
ejpam-975	61	19	xn+1	xn+1	X
ejpam-975	61	20	)	)	PUNCT
ejpam-975	62	1	+	+	CCONJ
ejpam-975	62	2	b	b	X
ejpam-975	62	3	max{d	max{d	PROPN
ejpam-975	62	4	(	(	PUNCT
ejpam-975	62	5	f	f	PROPN
ejpam-975	62	6	xn	xn	PROPN
ejpam-975	62	7	,	,	PUNCT
ejpam-975	62	8	t	t	PROPN
ejpam-975	62	9	xn	xn	PROPN
ejpam-975	62	10	)	)	PUNCT
ejpam-975	62	11	,	,	PUNCT
ejpam-975	63	1	d	d	X
ejpam-975	63	2	(	(	PUNCT
ejpam-975	63	3	f	f	PROPN
ejpam-975	63	4	xn+1	xn+1	PROPN
ejpam-975	63	5	,	,	PUNCT
ejpam-975	63	6	t	t	PROPN
ejpam-975	63	7	xn+1	xn+1	NUM
ejpam-975	63	8	)	)	PUNCT
ejpam-975	63	9	}	}	PUNCT
ejpam-975	64	1	+	+	CCONJ
ejpam-975	64	2	c	c	NOUN
ejpam-975	64	3	max{d	max{d	PROPN
ejpam-975	64	4	(	(	PUNCT
ejpam-975	64	5	f	f	PROPN
ejpam-975	64	6	xn	xn	PROPN
ejpam-975	64	7	,	,	PUNCT
ejpam-975	64	8	f	f	PROPN
ejpam-975	64	9	xn+1	xn+1	NUM
ejpam-975	64	10	)	)	PUNCT
ejpam-975	64	11	,	,	PUNCT
ejpam-975	65	1	d	d	X
ejpam-975	65	2	(	(	PUNCT
ejpam-975	65	3	f	f	PROPN
ejpam-975	65	4	xn	xn	PROPN
ejpam-975	65	5	,	,	PUNCT
ejpam-975	65	6	t	t	PROPN
ejpam-975	65	7	xn	xn	PROPN
ejpam-975	65	8	)	)	PUNCT
ejpam-975	65	9	,	,	PUNCT
ejpam-975	66	1	d	d	X
ejpam-975	66	2	(	(	PUNCT
ejpam-975	66	3	f	f	PROPN
ejpam-975	66	4	xn+1	xn+1	PROPN
ejpam-975	66	5	,	,	PUNCT
ejpam-975	66	6	t	t	PROPN
ejpam-975	66	7	xn+1	xn+1	NUM
ejpam-975	66	8	)	)	PUNCT
ejpam-975	66	9	}	}	PUNCT
ejpam-975	67	1	+	+	CCONJ
ejpam-975	67	2	e	e	X
ejpam-975	67	3	max{d	max{d	PROPN
ejpam-975	67	4	(	(	PUNCT
ejpam-975	67	5	f	f	PROPN
ejpam-975	67	6	xn	xn	PROPN
ejpam-975	67	7	,	,	PUNCT
ejpam-975	67	8	f	f	PROPN
ejpam-975	67	9	xn+1	xn+1	NUM
ejpam-975	67	10	)	)	PUNCT
ejpam-975	67	11	,	,	PUNCT
ejpam-975	68	1	d	d	X
ejpam-975	68	2	(	(	PUNCT
ejpam-975	68	3	f	f	PROPN
ejpam-975	68	4	xn	xn	PROPN
ejpam-975	68	5	,	,	PUNCT
ejpam-975	68	6	t	t	PROPN
ejpam-975	68	7	xn	xn	PROPN
ejpam-975	68	8	)	)	PUNCT
ejpam-975	68	9	,	,	PUNCT
ejpam-975	69	1	d	d	X
ejpam-975	69	2	(	(	PUNCT
ejpam-975	69	3	f	f	PROPN
ejpam-975	69	4	xn+1	xn+1	PROPN
ejpam-975	69	5	,	,	PUNCT
ejpam-975	69	6	t	t	PROPN
ejpam-975	69	7	xn+1	xn+1	NUM
ejpam-975	69	8	)	)	PUNCT
ejpam-975	69	9	,	,	PUNCT
ejpam-975	69	10	d	d	X
ejpam-975	69	11	(	(	PUNCT
ejpam-975	69	12	f	f	PROPN
ejpam-975	69	13	xn	xn	PROPN
ejpam-975	69	14	,	,	PUNCT
ejpam-975	69	15	t	t	PROPN
ejpam-975	69	16	xn+1	xn+1	NUM
ejpam-975	69	17	)	)	PUNCT
ejpam-975	69	18	}	}	PUNCT
ejpam-975	69	19	≤	≤	NUM
ejpam-975	69	20	ad	ad	NOUN
ejpam-975	69	21	(	(	PUNCT
ejpam-975	69	22	f	f	PROPN
ejpam-975	69	23	xn	xn	PROPN
ejpam-975	69	24	,	,	PUNCT
ejpam-975	69	25	t	t	PROPN
ejpam-975	69	26	xn)+	xn)+	NOUN
ejpam-975	70	1	b	b	X
ejpam-975	70	2	max{d	max{d	PROPN
ejpam-975	70	3	(	(	PUNCT
ejpam-975	70	4	f	f	PROPN
ejpam-975	70	5	xn	xn	PROPN
ejpam-975	70	6	,	,	PUNCT
ejpam-975	70	7	t	t	PROPN
ejpam-975	70	8	xn	xn	PROPN
ejpam-975	70	9	)	)	PUNCT
ejpam-975	70	10	,	,	PUNCT
ejpam-975	70	11	d	d	X
ejpam-975	70	12	(	(	PUNCT
ejpam-975	70	13	f	f	PROPN
ejpam-975	70	14	xn+1	xn+1	PROPN
ejpam-975	70	15	,	,	PUNCT
ejpam-975	70	16	t	t	PROPN
ejpam-975	70	17	xn+1	xn+1	NUM
ejpam-975	70	18	)	)	PUNCT
ejpam-975	70	19	}	}	PUNCT
ejpam-975	71	1	+	+	CCONJ
ejpam-975	71	2	c	c	NOUN
ejpam-975	71	3	max{d	max{d	PROPN
ejpam-975	71	4	(	(	PUNCT
ejpam-975	71	5	f	f	PROPN
ejpam-975	71	6	xn	xn	PROPN
ejpam-975	71	7	,	,	PUNCT
ejpam-975	71	8	t	t	PROPN
ejpam-975	71	9	xn	xn	PROPN
ejpam-975	71	10	)	)	PUNCT
ejpam-975	71	11	,	,	PUNCT
ejpam-975	72	1	d	d	X
ejpam-975	72	2	(	(	PUNCT
ejpam-975	72	3	f	f	PROPN
ejpam-975	72	4	xn	xn	PROPN
ejpam-975	72	5	,	,	PUNCT
ejpam-975	72	6	t	t	PROPN
ejpam-975	72	7	xn	xn	PROPN
ejpam-975	72	8	)	)	PUNCT
ejpam-975	72	9	,	,	PUNCT
ejpam-975	72	10	d	d	X
ejpam-975	72	11	(	(	PUNCT
ejpam-975	72	12	f	f	PROPN
ejpam-975	72	13	xn+1	xn+1	PROPN
ejpam-975	72	14	,	,	PUNCT
ejpam-975	72	15	t	t	PROPN
ejpam-975	72	16	xn+1	xn+1	NUM
ejpam-975	72	17	)	)	PUNCT
ejpam-975	72	18	}	}	PUNCT
ejpam-975	73	1	+	+	CCONJ
ejpam-975	73	2	e	e	X
ejpam-975	73	3	max{d	max{d	PROPN
ejpam-975	73	4	(	(	PUNCT
ejpam-975	73	5	f	f	PROPN
ejpam-975	73	6	xn	xn	PROPN
ejpam-975	73	7	,	,	PUNCT
ejpam-975	73	8	t	t	PROPN
ejpam-975	73	9	xn	xn	PROPN
ejpam-975	73	10	)	)	PUNCT
ejpam-975	73	11	,	,	PUNCT
ejpam-975	74	1	d	d	X
ejpam-975	74	2	(	(	PUNCT
ejpam-975	74	3	f	f	PROPN
ejpam-975	74	4	xn	xn	PROPN
ejpam-975	74	5	,	,	PUNCT
ejpam-975	74	6	t	t	PROPN
ejpam-975	74	7	xn	xn	PROPN
ejpam-975	74	8	)	)	PUNCT
ejpam-975	74	9	,	,	PUNCT
ejpam-975	75	1	d	d	X
ejpam-975	75	2	(	(	PUNCT
ejpam-975	75	3	f	f	PROPN
ejpam-975	75	4	xn+1	xn+1	PROPN
ejpam-975	75	5	,	,	PUNCT
ejpam-975	75	6	t	t	PROPN
ejpam-975	75	7	xn+1	xn+1	NUM
ejpam-975	75	8	)	)	PUNCT
ejpam-975	75	9	,	,	PUNCT
ejpam-975	76	1	d	d	X
ejpam-975	76	2	(	(	PUNCT
ejpam-975	76	3	f	f	PROPN
ejpam-975	76	4	xn	xn	PROPN
ejpam-975	76	5	,	,	PUNCT
ejpam-975	76	6	t	t	PROPN
ejpam-975	76	7	xn	xn	PUNCT
ejpam-975	76	8	)	)	PUNCT
ejpam-975	77	1	+	+	CCONJ
ejpam-975	78	1	d	d	X
ejpam-975	78	2	(	(	PUNCT
ejpam-975	78	3	f	f	PROPN
ejpam-975	78	4	xn+1	xn+1	PROPN
ejpam-975	78	5	,	,	PUNCT
ejpam-975	78	6	t	t	PROPN
ejpam-975	78	7	xn+1	xn+1	NUM
ejpam-975	78	8	)	)	PUNCT
ejpam-975	78	9	}	}	PUNCT
ejpam-975	78	10	p.	p.	NOUN
ejpam-975	78	11	jhade	jhade	PROPN
ejpam-975	78	12	,	,	PUNCT
ejpam-975	78	13	a.	a.	NOUN
ejpam-975	78	14	saluja	saluja	PROPN
ejpam-975	78	15	,	,	PUNCT
ejpam-975	78	16	r.	r.	PROPN
ejpam-975	78	17	kushwah	kushwah	PROPN
ejpam-975	78	18	/	/	SYM
ejpam-975	78	19	eur	eur	PROPN
ejpam-975	78	20	.	.	PUNCT
ejpam-975	79	1	j.	j.	PROPN
ejpam-975	79	2	pure	pure	PROPN
ejpam-975	79	3	appl	appl	PROPN
ejpam-975	79	4	.	.	PROPN
ejpam-975	79	5	math	math	PROPN
ejpam-975	79	6	,	,	PUNCT
ejpam-975	79	7	4	4	NUM
ejpam-975	79	8	(	(	PUNCT
ejpam-975	79	9	2011	2011	NUM
ejpam-975	79	10	)	)	PUNCT
ejpam-975	79	11	,	,	PUNCT
ejpam-975	79	12	330	330	NUM
ejpam-975	79	13	-	-	SYM
ejpam-975	79	14	339	339	NUM
ejpam-975	79	15	332	332	NUM
ejpam-975	79	16	where	where	SCONJ
ejpam-975	79	17	a	a	DET
ejpam-975	79	18	,	,	PUNCT
ejpam-975	79	19	b	b	NOUN
ejpam-975	79	20	,	,	PUNCT
ejpam-975	79	21	c	c	PROPN
ejpam-975	79	22	and	and	CCONJ
ejpam-975	79	23	e	e	PROPN
ejpam-975	79	24	are	be	AUX
ejpam-975	79	25	evaluated	evaluate	VERB
ejpam-975	79	26	at	at	ADP
ejpam-975	79	27	(	(	PUNCT
ejpam-975	79	28	xn	xn	PROPN
ejpam-975	79	29	,	,	PUNCT
ejpam-975	79	30	xn+1	xn+1	NUM
ejpam-975	79	31	)	)	PUNCT
ejpam-975	79	32	.	.	PUNCT
ejpam-975	79	33	suppose	suppose	VERB
ejpam-975	79	34	that	that	SCONJ
ejpam-975	79	35	for	for	ADP
ejpam-975	79	36	some	some	DET
ejpam-975	79	37	n	n	NOUN
ejpam-975	79	38	,	,	PUNCT
ejpam-975	79	39	d	d	X
ejpam-975	79	40	(	(	PUNCT
ejpam-975	79	41	f	f	PROPN
ejpam-975	79	42	xn+1	xn+1	PROPN
ejpam-975	79	43	,	,	PUNCT
ejpam-975	79	44	t	t	PROPN
ejpam-975	79	45	xn+1	xn+1	NUM
ejpam-975	79	46	)	)	PUNCT
ejpam-975	79	47	>	>	X
ejpam-975	80	1	d	d	PROPN
ejpam-975	80	2	(	(	PUNCT
ejpam-975	80	3	f	f	PROPN
ejpam-975	80	4	xn	xn	PROPN
ejpam-975	80	5	,	,	PUNCT
ejpam-975	80	6	t	t	PROPN
ejpam-975	80	7	xn	xn	PROPN
ejpam-975	80	8	)	)	PUNCT
ejpam-975	80	9	.	.	PUNCT
ejpam-975	81	1	then	then	ADV
ejpam-975	81	2	substituting	substitute	VERB
ejpam-975	81	3	in	in	ADP
ejpam-975	81	4	the	the	DET
ejpam-975	81	5	above	above	ADJ
ejpam-975	81	6	inequality	inequality	NOUN
ejpam-975	81	7	we	we	PRON
ejpam-975	81	8	have	have	VERB
ejpam-975	81	9	d	d	PROPN
ejpam-975	81	10	(	(	PUNCT
ejpam-975	81	11	f	f	PROPN
ejpam-975	81	12	xn+1	xn+1	PROPN
ejpam-975	81	13	,	,	PUNCT
ejpam-975	81	14	t	t	PROPN
ejpam-975	81	15	xn+1	xn+1	NUM
ejpam-975	81	16	)	)	PUNCT
ejpam-975	81	17	<	<	X
ejpam-975	81	18	(	(	PUNCT
ejpam-975	81	19	a+	a+	X
ejpam-975	81	20	b+	b+	X
ejpam-975	81	21	c	c	X
ejpam-975	81	22	+	+	NOUN
ejpam-975	81	23	2e)d	2e)d	NUM
ejpam-975	81	24	(	(	PUNCT
ejpam-975	81	25	f	f	PROPN
ejpam-975	81	26	xn+1	xn+1	PROPN
ejpam-975	81	27	,	,	PUNCT
ejpam-975	81	28	t	t	PROPN
ejpam-975	81	29	xn+1	xn+1	NUM
ejpam-975	81	30	)	)	PUNCT
ejpam-975	81	31	a	a	DET
ejpam-975	81	32	contradiction	contradiction	NOUN
ejpam-975	81	33	.	.	PUNCT
ejpam-975	82	1	therefore	therefore	ADV
ejpam-975	82	2	,	,	PUNCT
ejpam-975	82	3	for	for	ADP
ejpam-975	82	4	all	all	DET
ejpam-975	82	5	n	n	PRON
ejpam-975	82	6	we	we	PRON
ejpam-975	82	7	have	have	VERB
ejpam-975	82	8	d	d	PROPN
ejpam-975	82	9	(	(	PUNCT
ejpam-975	82	10	f	f	PROPN
ejpam-975	82	11	xn+1	xn+1	PROPN
ejpam-975	82	12	,	,	PUNCT
ejpam-975	82	13	t	t	PROPN
ejpam-975	82	14	xn+1)≤	xn+1)≤	PUNCT
ejpam-975	83	1	d	d	X
ejpam-975	83	2	(	(	PUNCT
ejpam-975	83	3	f	f	PROPN
ejpam-975	83	4	xn	xn	PROPN
ejpam-975	83	5	,	,	PUNCT
ejpam-975	83	6	t	t	PROPN
ejpam-975	83	7	xn	xn	PROPN
ejpam-975	83	8	)	)	PUNCT
ejpam-975	83	9	(	(	PUNCT
ejpam-975	83	10	4	4	X
ejpam-975	83	11	)	)	PUNCT
ejpam-975	83	12	again	again	ADV
ejpam-975	83	13	d(yn−1	d(yn−1	PROPN
ejpam-975	83	14	,	,	PUNCT
ejpam-975	83	15	t	t	PROPN
ejpam-975	83	16	xn	xn	PROPN
ejpam-975	83	17	)	)	PUNCT
ejpam-975	83	18	=	=	PROPN
ejpam-975	83	19	d(t	d(t	PROPN
ejpam-975	83	20	xn−2	xn−2	PROPN
ejpam-975	83	21	,	,	PUNCT
ejpam-975	83	22	t	t	PROPN
ejpam-975	83	23	xn	xn	PROPN
ejpam-975	83	24	)	)	PUNCT
ejpam-975	83	25	using	use	VERB
ejpam-975	83	26	(	(	PUNCT
ejpam-975	83	27	3	3	NUM
ejpam-975	83	28	)	)	PUNCT
ejpam-975	83	29	,	,	PUNCT
ejpam-975	83	30	(	(	PUNCT
ejpam-975	83	31	4	4	X
ejpam-975	83	32	)	)	PUNCT
ejpam-975	83	33	and	and	CCONJ
ejpam-975	83	34	triangle	triangle	NOUN
ejpam-975	83	35	inequality	inequality	NOUN
ejpam-975	83	36	we	we	PRON
ejpam-975	83	37	have	have	VERB
ejpam-975	83	38	d(yn−1	d(yn−1	PROPN
ejpam-975	83	39	,	,	PUNCT
ejpam-975	83	40	t	t	PROPN
ejpam-975	83	41	xn)≤	xn)≤	NOUN
ejpam-975	83	42	ad	ad	NOUN
ejpam-975	83	43	(	(	PUNCT
ejpam-975	83	44	f	f	PROPN
ejpam-975	83	45	xn−2	xn−2	PROPN
ejpam-975	83	46	,	,	PUNCT
ejpam-975	83	47	f	f	PROPN
ejpam-975	83	48	xn	xn	PROPN
ejpam-975	83	49	)	)	PUNCT
ejpam-975	84	1	+	+	CCONJ
ejpam-975	84	2	b	b	X
ejpam-975	84	3	max{d	max{d	NOUN
ejpam-975	84	4	(	(	PUNCT
ejpam-975	84	5	f	f	PROPN
ejpam-975	84	6	xn−2	xn−2	PROPN
ejpam-975	84	7	,	,	PUNCT
ejpam-975	84	8	t	t	PROPN
ejpam-975	84	9	xn−2	xn−2	PROPN
ejpam-975	84	10	)	)	PUNCT
ejpam-975	84	11	,	,	PUNCT
ejpam-975	85	1	d	d	X
ejpam-975	85	2	(	(	PUNCT
ejpam-975	85	3	f	f	PROPN
ejpam-975	85	4	xn	xn	PROPN
ejpam-975	85	5	,	,	PUNCT
ejpam-975	85	6	t	t	PROPN
ejpam-975	85	7	xn	xn	PROPN
ejpam-975	85	8	)	)	PUNCT
ejpam-975	85	9	}	}	PUNCT
ejpam-975	86	1	+	+	CCONJ
ejpam-975	86	2	c	c	NOUN
ejpam-975	86	3	max{d	max{d	PROPN
ejpam-975	86	4	(	(	PUNCT
ejpam-975	86	5	f	f	PROPN
ejpam-975	86	6	xn−2	xn−2	PROPN
ejpam-975	86	7	,	,	PUNCT
ejpam-975	86	8	f	f	PROPN
ejpam-975	86	9	xn	xn	PROPN
ejpam-975	86	10	)	)	PUNCT
ejpam-975	86	11	,	,	PUNCT
ejpam-975	87	1	d	d	PROPN
ejpam-975	87	2	(	(	PUNCT
ejpam-975	87	3	f	f	PROPN
ejpam-975	87	4	xn−2	xn−2	PROPN
ejpam-975	87	5	,	,	PUNCT
ejpam-975	87	6	t	t	PROPN
ejpam-975	87	7	xn−2	xn−2	PROPN
ejpam-975	87	8	)	)	PUNCT
ejpam-975	87	9	,	,	PUNCT
ejpam-975	88	1	d	d	X
ejpam-975	88	2	(	(	PUNCT
ejpam-975	88	3	f	f	PROPN
ejpam-975	88	4	xn	xn	PROPN
ejpam-975	88	5	,	,	PUNCT
ejpam-975	88	6	t	t	PROPN
ejpam-975	88	7	xn	xn	PROPN
ejpam-975	88	8	)	)	PUNCT
ejpam-975	88	9	}	}	PUNCT
ejpam-975	89	1	+	+	CCONJ
ejpam-975	89	2	e	e	X
ejpam-975	89	3	max{d	max{d	PROPN
ejpam-975	89	4	(	(	PUNCT
ejpam-975	89	5	f	f	PROPN
ejpam-975	89	6	xn−2	xn−2	PROPN
ejpam-975	89	7	,	,	PUNCT
ejpam-975	89	8	f	f	PROPN
ejpam-975	89	9	xn	xn	PROPN
ejpam-975	89	10	)	)	PUNCT
ejpam-975	89	11	,	,	PUNCT
ejpam-975	90	1	d	d	PROPN
ejpam-975	90	2	(	(	PUNCT
ejpam-975	90	3	f	f	PROPN
ejpam-975	90	4	xn−2	xn−2	PROPN
ejpam-975	90	5	,	,	PUNCT
ejpam-975	90	6	t	t	PROPN
ejpam-975	90	7	xn−2	xn−2	PROPN
ejpam-975	90	8	)	)	PUNCT
ejpam-975	90	9	,	,	PUNCT
ejpam-975	91	1	d	d	X
ejpam-975	91	2	(	(	PUNCT
ejpam-975	91	3	f	f	PROPN
ejpam-975	91	4	xn	xn	PROPN
ejpam-975	91	5	,	,	PUNCT
ejpam-975	91	6	t	t	PROPN
ejpam-975	91	7	xn	xn	PROPN
ejpam-975	91	8	)	)	PUNCT
ejpam-975	91	9	,	,	PUNCT
ejpam-975	92	1	d	d	PROPN
ejpam-975	92	2	(	(	PUNCT
ejpam-975	92	3	f	f	PROPN
ejpam-975	92	4	xn−2	xn−2	PROPN
ejpam-975	92	5	,	,	PUNCT
ejpam-975	92	6	t	t	PROPN
ejpam-975	92	7	xn	xn	PROPN
ejpam-975	92	8	)	)	PUNCT
ejpam-975	92	9	}	}	PUNCT
ejpam-975	92	10	≤	≤	NUM
ejpam-975	92	11	2ad	2ad	NUM
ejpam-975	92	12	(	(	PUNCT
ejpam-975	92	13	f	f	PROPN
ejpam-975	92	14	xn−2	xn−2	PROPN
ejpam-975	92	15	,	,	PUNCT
ejpam-975	92	16	t	t	PROPN
ejpam-975	92	17	xn−2	xn−2	PROPN
ejpam-975	92	18	)	)	PUNCT
ejpam-975	93	1	+	+	CCONJ
ejpam-975	93	2	bd	bd	PROPN
ejpam-975	93	3	(	(	PUNCT
ejpam-975	93	4	f	f	PROPN
ejpam-975	93	5	xn−2	xn−2	PROPN
ejpam-975	93	6	,	,	PUNCT
ejpam-975	93	7	t	t	PROPN
ejpam-975	93	8	xn−2	xn−2	PROPN
ejpam-975	93	9	)	)	PUNCT
ejpam-975	94	1	+	+	CCONJ
ejpam-975	94	2	2cd	2cd	NUM
ejpam-975	94	3	(	(	PUNCT
ejpam-975	94	4	f	f	PROPN
ejpam-975	94	5	xn−2	xn−2	PROPN
ejpam-975	94	6	,	,	PUNCT
ejpam-975	94	7	t	t	PROPN
ejpam-975	94	8	xn−2	xn−2	PROPN
ejpam-975	94	9	)	)	PUNCT
ejpam-975	95	1	+	+	CCONJ
ejpam-975	95	2	e	e	X
ejpam-975	95	3	max{2d	max{2d	PROPN
ejpam-975	95	4	(	(	PUNCT
ejpam-975	95	5	f	f	PROPN
ejpam-975	95	6	xn−2	xn−2	PROPN
ejpam-975	95	7	,	,	PUNCT
ejpam-975	95	8	t	t	PROPN
ejpam-975	95	9	xn−2	xn−2	PROPN
ejpam-975	95	10	)	)	PUNCT
ejpam-975	95	11	,	,	PUNCT
ejpam-975	96	1	d	d	X
ejpam-975	96	2	(	(	PUNCT
ejpam-975	96	3	f	f	PROPN
ejpam-975	96	4	xn−2	xn−2	PROPN
ejpam-975	96	5	,	,	PUNCT
ejpam-975	96	6	t	t	PROPN
ejpam-975	96	7	xn−2	xn−2	PROPN
ejpam-975	96	8	)	)	PUNCT
ejpam-975	97	1	+	+	CCONJ
ejpam-975	97	2	d	d	X
ejpam-975	97	3	(	(	PUNCT
ejpam-975	97	4	f	f	PROPN
ejpam-975	97	5	xn−1	xn−1	PROPN
ejpam-975	97	6	,	,	PUNCT
ejpam-975	97	7	t	t	PROPN
ejpam-975	97	8	xn	xn	PROPN
ejpam-975	97	9	)	)	PUNCT
ejpam-975	97	10	}	}	PUNCT
ejpam-975	97	11	≤	≤	NOUN
ejpam-975	97	12	(	(	PUNCT
ejpam-975	97	13	2a+	2a+	NUM
ejpam-975	97	14	b+	b+	ADP
ejpam-975	97	15	2c	2c	NUM
ejpam-975	97	16	+	+	SYM
ejpam-975	97	17	3e)d	3e)d	NUM
ejpam-975	97	18	(	(	PUNCT
ejpam-975	97	19	f	f	PROPN
ejpam-975	97	20	xn−2	xn−2	PROPN
ejpam-975	97	21	,	,	PUNCT
ejpam-975	97	22	t	t	PROPN
ejpam-975	97	23	xn−2	xn−2	PROPN
ejpam-975	97	24	)	)	PUNCT
ejpam-975	97	25	implies	imply	VERB
ejpam-975	97	26	that	that	SCONJ
ejpam-975	97	27	d(yn−1	d(yn−1	PROPN
ejpam-975	97	28	,	,	PUNCT
ejpam-975	97	29	t	t	PROPN
ejpam-975	97	30	xn)≤	xn)≤	PROPN
ejpam-975	98	1	(	(	PUNCT
ejpam-975	98	2	1−	1−	NUM
ejpam-975	98	3	b−	b−	NOUN
ejpam-975	98	4	e)d	e)d	PUNCT
ejpam-975	98	5	(	(	PUNCT
ejpam-975	98	6	f	f	PROPN
ejpam-975	98	7	xn−2	xn−2	PROPN
ejpam-975	98	8	,	,	PUNCT
ejpam-975	98	9	t	t	PROPN
ejpam-975	98	10	xn−2	xn−2	PROPN
ejpam-975	98	11	)	)	PUNCT
ejpam-975	98	12	(	(	PUNCT
ejpam-975	98	13	5	5	X
ejpam-975	98	14	)	)	PUNCT
ejpam-975	98	15	using	use	VERB
ejpam-975	98	16	(	(	PUNCT
ejpam-975	98	17	3	3	NUM
ejpam-975	98	18	)	)	PUNCT
ejpam-975	98	19	,	,	PUNCT
ejpam-975	98	20	(	(	PUNCT
ejpam-975	98	21	4	4	NUM
ejpam-975	98	22	)	)	PUNCT
ejpam-975	98	23	and	and	CCONJ
ejpam-975	98	24	(	(	PUNCT
ejpam-975	98	25	5	5	X
ejpam-975	98	26	)	)	PUNCT
ejpam-975	98	27	we	we	PRON
ejpam-975	98	28	obtain	obtain	VERB
ejpam-975	98	29	,	,	PUNCT
ejpam-975	98	30	d(yn	d(yn	PROPN
ejpam-975	98	31	,	,	PUNCT
ejpam-975	98	32	t	t	PROPN
ejpam-975	98	33	xn	xn	PROPN
ejpam-975	98	34	)	)	PUNCT
ejpam-975	99	1	=	=	SYM
ejpam-975	99	2	d(t	d(t	PROPN
ejpam-975	99	3	xn−1	xn−1	PROPN
ejpam-975	99	4	,	,	PUNCT
ejpam-975	99	5	t	t	PROPN
ejpam-975	99	6	xn	xn	PROPN
ejpam-975	99	7	)	)	PUNCT
ejpam-975	99	8	≤	≤	NUM
ejpam-975	99	9	ad	ad	NOUN
ejpam-975	99	10	(	(	PUNCT
ejpam-975	99	11	f	f	PROPN
ejpam-975	99	12	xn−1	xn−1	PROPN
ejpam-975	99	13	,	,	PUNCT
ejpam-975	99	14	f	f	PROPN
ejpam-975	99	15	xn	xn	PROPN
ejpam-975	99	16	)	)	PUNCT
ejpam-975	100	1	+	+	CCONJ
ejpam-975	100	2	b	b	X
ejpam-975	100	3	max{d	max{d	NOUN
ejpam-975	100	4	(	(	PUNCT
ejpam-975	100	5	f	f	PROPN
ejpam-975	100	6	xn−1	xn−1	PROPN
ejpam-975	100	7	,	,	PUNCT
ejpam-975	100	8	t	t	PROPN
ejpam-975	100	9	xn−1	xn−1	PROPN
ejpam-975	100	10	)	)	PUNCT
ejpam-975	100	11	,	,	PUNCT
ejpam-975	101	1	d	d	X
ejpam-975	101	2	(	(	PUNCT
ejpam-975	101	3	f	f	PROPN
ejpam-975	101	4	xn	xn	PROPN
ejpam-975	101	5	,	,	PUNCT
ejpam-975	101	6	t	t	PROPN
ejpam-975	101	7	xn	xn	PROPN
ejpam-975	101	8	)	)	PUNCT
ejpam-975	101	9	}	}	PUNCT
ejpam-975	102	1	+	+	CCONJ
ejpam-975	102	2	c	c	NOUN
ejpam-975	102	3	max{d	max{d	PROPN
ejpam-975	102	4	(	(	PUNCT
ejpam-975	102	5	f	f	PROPN
ejpam-975	102	6	xn−1	xn−1	PROPN
ejpam-975	102	7	,	,	PUNCT
ejpam-975	102	8	f	f	PROPN
ejpam-975	102	9	xn	xn	PROPN
ejpam-975	102	10	)	)	PUNCT
ejpam-975	102	11	,	,	PUNCT
ejpam-975	103	1	d	d	X
ejpam-975	103	2	(	(	PUNCT
ejpam-975	103	3	f	f	PROPN
ejpam-975	103	4	xn−1	xn−1	PROPN
ejpam-975	103	5	,	,	PUNCT
ejpam-975	103	6	t	t	PROPN
ejpam-975	103	7	xn−1	xn−1	PROPN
ejpam-975	103	8	)	)	PUNCT
ejpam-975	103	9	,	,	PUNCT
ejpam-975	104	1	d	d	X
ejpam-975	104	2	(	(	PUNCT
ejpam-975	104	3	f	f	PROPN
ejpam-975	104	4	xn	xn	PROPN
ejpam-975	104	5	,	,	PUNCT
ejpam-975	104	6	t	t	PROPN
ejpam-975	104	7	xn	xn	PROPN
ejpam-975	104	8	)	)	PUNCT
ejpam-975	104	9	}	}	PUNCT
ejpam-975	105	1	+	+	CCONJ
ejpam-975	105	2	e	e	X
ejpam-975	105	3	max{d	max{d	PROPN
ejpam-975	105	4	(	(	PUNCT
ejpam-975	105	5	f	f	PROPN
ejpam-975	105	6	xn−1	xn−1	PROPN
ejpam-975	105	7	,	,	PUNCT
ejpam-975	105	8	f	f	PROPN
ejpam-975	105	9	xn	xn	PROPN
ejpam-975	105	10	)	)	PUNCT
ejpam-975	105	11	,	,	PUNCT
ejpam-975	106	1	d	d	X
ejpam-975	106	2	(	(	PUNCT
ejpam-975	106	3	f	f	PROPN
ejpam-975	106	4	xn−1	xn−1	PROPN
ejpam-975	106	5	,	,	PUNCT
ejpam-975	106	6	t	t	PROPN
ejpam-975	106	7	xn−1	xn−1	PROPN
ejpam-975	106	8	)	)	PUNCT
ejpam-975	106	9	,	,	PUNCT
ejpam-975	107	1	d	d	X
ejpam-975	107	2	(	(	PUNCT
ejpam-975	107	3	f	f	PROPN
ejpam-975	107	4	xn	xn	PROPN
ejpam-975	107	5	,	,	PUNCT
ejpam-975	107	6	t	t	PROPN
ejpam-975	107	7	xn	xn	PROPN
ejpam-975	107	8	)	)	PUNCT
ejpam-975	107	9	,	,	PUNCT
ejpam-975	108	1	d	d	X
ejpam-975	108	2	(	(	PUNCT
ejpam-975	108	3	f	f	PROPN
ejpam-975	108	4	xn−1	xn−1	PROPN
ejpam-975	108	5	,	,	PUNCT
ejpam-975	108	6	t	t	PROPN
ejpam-975	108	7	xn	xn	PROPN
ejpam-975	108	8	)	)	PUNCT
ejpam-975	108	9	}	}	PUNCT
ejpam-975	108	10	≤	≤	NUM
ejpam-975	108	11	ad	ad	NOUN
ejpam-975	108	12	(	(	PUNCT
ejpam-975	108	13	f	f	PROPN
ejpam-975	108	14	xn−2	xn−2	PROPN
ejpam-975	108	15	,	,	PUNCT
ejpam-975	108	16	t	t	PROPN
ejpam-975	108	17	xn−2	xn−2	PROPN
ejpam-975	108	18	)	)	PUNCT
ejpam-975	109	1	+	+	CCONJ
ejpam-975	109	2	bd	bd	PROPN
ejpam-975	109	3	(	(	PUNCT
ejpam-975	109	4	f	f	PROPN
ejpam-975	109	5	xn−2	xn−2	PROPN
ejpam-975	109	6	,	,	PUNCT
ejpam-975	109	7	t	t	PROPN
ejpam-975	109	8	xn−2	xn−2	PROPN
ejpam-975	109	9	)	)	PUNCT
ejpam-975	110	1	+	+	CCONJ
ejpam-975	110	2	cd	cd	PROPN
ejpam-975	110	3	(	(	PUNCT
ejpam-975	110	4	f	f	PROPN
ejpam-975	110	5	xn−2	xn−2	PROPN
ejpam-975	110	6	,	,	PUNCT
ejpam-975	110	7	t	t	PROPN
ejpam-975	110	8	xn−2	xn−2	PROPN
ejpam-975	110	9	)	)	PUNCT
ejpam-975	111	1	+	+	CCONJ
ejpam-975	111	2	e(1−	e(1−	ADJ
ejpam-975	111	3	b−	b−	NOUN
ejpam-975	111	4	e)d	e)d	X
ejpam-975	111	5	(	(	PUNCT
ejpam-975	111	6	f	f	PROPN
ejpam-975	111	7	xn−2	xn−2	PROPN
ejpam-975	111	8	,	,	PUNCT
ejpam-975	111	9	t	t	PROPN
ejpam-975	111	10	xn−2	xn−2	PROPN
ejpam-975	111	11	)	)	PUNCT
ejpam-975	111	12	≤	≤	NOUN
ejpam-975	111	13	(	(	PUNCT
ejpam-975	111	14	1−	1−	NUM
ejpam-975	111	15	e(1	e(1	NOUN
ejpam-975	111	16	+	+	CCONJ
ejpam-975	111	17	b+	b+	X
ejpam-975	111	18	e))d	e))d	NOUN
ejpam-975	111	19	(	(	PUNCT
ejpam-975	111	20	f	f	PROPN
ejpam-975	111	21	xn−2	xn−2	PROPN
ejpam-975	111	22	,	,	PUNCT
ejpam-975	111	23	t	t	PROPN
ejpam-975	111	24	xn−2	xn−2	PROPN
ejpam-975	111	25	)	)	PUNCT
ejpam-975	111	26	≤	≤	NOUN
ejpam-975	111	27	(	(	PUNCT
ejpam-975	111	28	1−	1−	NUM
ejpam-975	111	29	βγ)d	βγ)d	PROPN
ejpam-975	111	30	(	(	PUNCT
ejpam-975	111	31	f	f	PROPN
ejpam-975	111	32	xn−2	xn−2	PROPN
ejpam-975	111	33	,	,	PUNCT
ejpam-975	111	34	t	t	PROPN
ejpam-975	111	35	xn−2	xn−2	PROPN
ejpam-975	111	36	)	)	PUNCT
ejpam-975	111	37	≤	≤	NOUN
ejpam-975	111	38	(	(	PUNCT
ejpam-975	111	39	1−	1−	NUM
ejpam-975	111	40	βγ	βγ	NOUN
ejpam-975	111	41	)	)	PUNCT
ejpam-975	111	42	n/2d(y0	n/2d(y0	PROPN
ejpam-975	111	43	,	,	PUNCT
ejpam-975	111	44	y1	y1	NOUN
ejpam-975	111	45	)	)	PUNCT
ejpam-975	112	1	where	where	SCONJ
ejpam-975	112	2	β	β	X
ejpam-975	112	3	=	=	SYM
ejpam-975	112	4	infx	infx	NOUN
ejpam-975	112	5	,	,	PUNCT
ejpam-975	112	6	y∈x	y∈x	NOUN
ejpam-975	112	7	e(x	e(x	NUM
ejpam-975	112	8	,	,	PUNCT
ejpam-975	112	9	y	y	PROPN
ejpam-975	112	10	)	)	PUNCT
ejpam-975	112	11	>	>	X
ejpam-975	112	12	0	0	NUM
ejpam-975	112	13	,	,	PUNCT
ejpam-975	112	14	γ	γ	NOUN
ejpam-975	112	15	=	=	SYM
ejpam-975	112	16	infx	infx	NOUN
ejpam-975	112	17	,	,	PUNCT
ejpam-975	112	18	y∈x	y∈x	NOUN
ejpam-975	112	19	(	(	PUNCT
ejpam-975	112	20	1	1	NUM
ejpam-975	112	21	+	+	CCONJ
ejpam-975	112	22	b(x	b(x	NOUN
ejpam-975	112	23	,	,	PUNCT
ejpam-975	112	24	y	y	PROPN
ejpam-975	112	25	)	)	PUNCT
ejpam-975	112	26	+	+	CCONJ
ejpam-975	112	27	e(x	e(x	NUM
ejpam-975	112	28	,	,	PUNCT
ejpam-975	112	29	y	y	NOUN
ejpam-975	112	30	)	)	PUNCT
ejpam-975	112	31	)	)	PUNCT
ejpam-975	113	1	>	>	X
ejpam-975	113	2	0	0	PUNCT
ejpam-975	114	1	and	and	CCONJ
ejpam-975	114	2	{	{	PUNCT
ejpam-975	114	3	yn	yn	NOUN
ejpam-975	114	4	}	}	PUNCT
ejpam-975	114	5	is	be	AUX
ejpam-975	114	6	cauchy	cauchy	NOUN
ejpam-975	114	7	,	,	PUNCT
ejpam-975	114	8	hence	hence	ADV
ejpam-975	114	9	converges	converge	VERB
ejpam-975	114	10	to	to	ADP
ejpam-975	114	11	a	a	DET
ejpam-975	114	12	point	point	NOUN
ejpam-975	114	13	p	p	NOUN
ejpam-975	114	14	in	in	ADP
ejpam-975	114	15	x	x	X
ejpam-975	114	16	.	.	PUNCT
ejpam-975	115	1	case	case	NOUN
ejpam-975	115	2	(	(	PUNCT
ejpam-975	115	3	a):suppose	a):suppose	VERB
ejpam-975	115	4	that	that	SCONJ
ejpam-975	115	5	f	f	PROPN
ejpam-975	115	6	is	be	AUX
ejpam-975	115	7	surjective	surjective	ADJ
ejpam-975	115	8	.	.	PUNCT
ejpam-975	116	1	then	then	ADV
ejpam-975	116	2	there	there	PRON
ejpam-975	116	3	exists	exist	VERB
ejpam-975	116	4	a	a	DET
ejpam-975	116	5	point	point	NOUN
ejpam-975	116	6	z	z	NOUN
ejpam-975	116	7	in	in	ADP
ejpam-975	116	8	x	x	PUNCT
ejpam-975	116	9	such	such	ADJ
ejpam-975	116	10	that	that	SCONJ
ejpam-975	116	11	p	p	NOUN
ejpam-975	116	12	=	=	X
ejpam-975	116	13	f	f	PROPN
ejpam-975	116	14	z.	z.	PROPN
ejpam-975	116	15	from	from	ADP
ejpam-975	116	16	(	(	PUNCT
ejpam-975	116	17	3	3	NUM
ejpam-975	116	18	)	)	PUNCT
ejpam-975	116	19	,	,	PUNCT
ejpam-975	116	20	we	we	PRON
ejpam-975	116	21	have	have	VERB
ejpam-975	116	22	p.	p.	NOUN
ejpam-975	116	23	jhade	jhade	PROPN
ejpam-975	116	24	,	,	PUNCT
ejpam-975	116	25	a.	a.	NOUN
ejpam-975	116	26	saluja	saluja	PROPN
ejpam-975	116	27	,	,	PUNCT
ejpam-975	116	28	r.	r.	PROPN
ejpam-975	116	29	kushwah	kushwah	PROPN
ejpam-975	116	30	/	/	SYM
ejpam-975	116	31	eur	eur	PROPN
ejpam-975	116	32	.	.	PUNCT
ejpam-975	117	1	j.	j.	PROPN
ejpam-975	117	2	pure	pure	PROPN
ejpam-975	117	3	appl	appl	PROPN
ejpam-975	117	4	.	.	PROPN
ejpam-975	117	5	math	math	PROPN
ejpam-975	117	6	,	,	PUNCT
ejpam-975	117	7	4	4	NUM
ejpam-975	117	8	(	(	PUNCT
ejpam-975	117	9	2011	2011	NUM
ejpam-975	117	10	)	)	PUNCT
ejpam-975	117	11	,	,	PUNCT
ejpam-975	117	12	330	330	NUM
ejpam-975	117	13	-	-	SYM
ejpam-975	117	14	339	339	NUM
ejpam-975	117	15	333	333	NUM
ejpam-975	117	16	d	d	NOUN
ejpam-975	117	17	(	(	PUNCT
ejpam-975	117	18	f	f	PROPN
ejpam-975	117	19	z	z	PROPN
ejpam-975	117	20	,	,	PUNCT
ejpam-975	117	21	tz	tz	PROPN
ejpam-975	117	22	)	)	PUNCT
ejpam-975	117	23	≤	≤	NOUN
ejpam-975	118	1	d	d	X
ejpam-975	118	2	(	(	PUNCT
ejpam-975	118	3	f	f	PROPN
ejpam-975	118	4	z	z	PROPN
ejpam-975	118	5	,	,	PUNCT
ejpam-975	118	6	yn+1	yn+1	X
ejpam-975	118	7	)	)	PUNCT
ejpam-975	118	8	+	+	CCONJ
ejpam-975	118	9	d(yn+1	d(yn+1	ADJ
ejpam-975	118	10	,	,	PUNCT
ejpam-975	118	11	tz	tz	NOUN
ejpam-975	118	12	)	)	PUNCT
ejpam-975	118	13	≤	≤	NOUN
ejpam-975	119	1	d	d	X
ejpam-975	119	2	(	(	PUNCT
ejpam-975	119	3	f	f	PROPN
ejpam-975	119	4	z	z	PROPN
ejpam-975	119	5	,	,	PUNCT
ejpam-975	119	6	yn+1	yn+1	NUM
ejpam-975	119	7	)	)	PUNCT
ejpam-975	119	8	+	+	SYM
ejpam-975	119	9	ad	ad	NOUN
ejpam-975	119	10	(	(	PUNCT
ejpam-975	119	11	f	f	PROPN
ejpam-975	119	12	xn	xn	PROPN
ejpam-975	119	13	,	,	PUNCT
ejpam-975	119	14	f	f	PROPN
ejpam-975	119	15	z	z	PROPN
ejpam-975	119	16	)	)	PUNCT
ejpam-975	120	1	+	+	CCONJ
ejpam-975	120	2	b	b	X
ejpam-975	120	3	max{d	max{d	PROPN
ejpam-975	120	4	(	(	PUNCT
ejpam-975	120	5	f	f	PROPN
ejpam-975	120	6	xn	xn	PROPN
ejpam-975	120	7	,	,	PUNCT
ejpam-975	120	8	t	t	PROPN
ejpam-975	120	9	xn	xn	PROPN
ejpam-975	120	10	)	)	PUNCT
ejpam-975	120	11	,	,	PUNCT
ejpam-975	121	1	d	d	X
ejpam-975	121	2	(	(	PUNCT
ejpam-975	121	3	f	f	PROPN
ejpam-975	121	4	z	z	PROPN
ejpam-975	121	5	,	,	PUNCT
ejpam-975	121	6	tz	tz	PROPN
ejpam-975	121	7	)	)	PUNCT
ejpam-975	121	8	}	}	PUNCT
ejpam-975	122	1	+	+	NUM
ejpam-975	122	2	c	c	X
ejpam-975	122	3	max	max	X
ejpam-975	122	4	{	{	PUNCT
ejpam-975	122	5	(	(	PUNCT
ejpam-975	122	6	f	f	PROPN
ejpam-975	122	7	xn	xn	PROPN
ejpam-975	122	8	,	,	PUNCT
ejpam-975	122	9	f	f	PROPN
ejpam-975	122	10	z	z	PROPN
ejpam-975	122	11	)	)	PUNCT
ejpam-975	122	12	,	,	PUNCT
ejpam-975	123	1	d	d	PROPN
ejpam-975	123	2	(	(	PUNCT
ejpam-975	123	3	f	f	PROPN
ejpam-975	123	4	xn	xn	PROPN
ejpam-975	123	5	,	,	PUNCT
ejpam-975	123	6	t	t	PROPN
ejpam-975	123	7	xn	xn	PROPN
ejpam-975	123	8	)	)	PUNCT
ejpam-975	123	9	,	,	PUNCT
ejpam-975	124	1	d	d	X
ejpam-975	124	2	(	(	PUNCT
ejpam-975	124	3	f	f	PROPN
ejpam-975	124	4	z	z	PROPN
ejpam-975	124	5	,	,	PUNCT
ejpam-975	124	6	tz	tz	PROPN
ejpam-975	124	7	)	)	PUNCT
ejpam-975	124	8	}	}	PUNCT
ejpam-975	125	1	+	+	CCONJ
ejpam-975	125	2	e	e	X
ejpam-975	125	3	max{d	max{d	PROPN
ejpam-975	125	4	(	(	PUNCT
ejpam-975	125	5	f	f	PROPN
ejpam-975	125	6	xn	xn	PROPN
ejpam-975	125	7	,	,	PUNCT
ejpam-975	125	8	f	f	PROPN
ejpam-975	125	9	z	z	PROPN
ejpam-975	125	10	)	)	PUNCT
ejpam-975	125	11	,	,	PUNCT
ejpam-975	126	1	d	d	PROPN
ejpam-975	126	2	(	(	PUNCT
ejpam-975	126	3	f	f	PROPN
ejpam-975	126	4	xn	xn	PROPN
ejpam-975	126	5	,	,	PUNCT
ejpam-975	126	6	t	t	PROPN
ejpam-975	126	7	xn	xn	PROPN
ejpam-975	126	8	)	)	PUNCT
ejpam-975	126	9	,	,	PUNCT
ejpam-975	127	1	d	d	X
ejpam-975	127	2	(	(	PUNCT
ejpam-975	127	3	f	f	PROPN
ejpam-975	127	4	z	z	PROPN
ejpam-975	127	5	,	,	PUNCT
ejpam-975	127	6	tz	tz	PROPN
ejpam-975	127	7	)	)	PUNCT
ejpam-975	127	8	,	,	PUNCT
ejpam-975	128	1	d	d	PROPN
ejpam-975	128	2	(	(	PUNCT
ejpam-975	128	3	f	f	PROPN
ejpam-975	128	4	xn	xn	PROPN
ejpam-975	128	5	,	,	PUNCT
ejpam-975	128	6	tz	tz	NOUN
ejpam-975	128	7	)	)	PUNCT
ejpam-975	128	8	}	}	PUNCT
ejpam-975	128	9	≤	≤	NUM
ejpam-975	129	1	d	d	X
ejpam-975	129	2	(	(	PUNCT
ejpam-975	129	3	f	f	PROPN
ejpam-975	129	4	z	z	PROPN
ejpam-975	129	5	,	,	PUNCT
ejpam-975	129	6	f	f	PROPN
ejpam-975	129	7	xn+1	xn+1	X
ejpam-975	129	8	)	)	PUNCT
ejpam-975	130	1	+	+	CCONJ
ejpam-975	130	2	sup	sup	NOUN
ejpam-975	130	3	x	x	PUNCT
ejpam-975	130	4	,	,	PUNCT
ejpam-975	130	5	y∈x	y∈x	NOUN
ejpam-975	130	6	(	(	PUNCT
ejpam-975	130	7	b+	b+	NUM
ejpam-975	130	8	c	c	X
ejpam-975	130	9	+	+	CCONJ
ejpam-975	130	10	e)max{max{d	e)max{max{d	PROPN
ejpam-975	130	11	(	(	PUNCT
ejpam-975	130	12	f	f	PROPN
ejpam-975	130	13	xn	xn	PROPN
ejpam-975	130	14	,	,	PUNCT
ejpam-975	130	15	t	t	PROPN
ejpam-975	130	16	xn	xn	PROPN
ejpam-975	130	17	)	)	PUNCT
ejpam-975	130	18	,	,	PUNCT
ejpam-975	131	1	d	d	X
ejpam-975	131	2	(	(	PUNCT
ejpam-975	131	3	f	f	PROPN
ejpam-975	131	4	z	z	PROPN
ejpam-975	131	5	,	,	PUNCT
ejpam-975	131	6	tz	tz	PROPN
ejpam-975	131	7	)	)	PUNCT
ejpam-975	131	8	}	}	PUNCT
ejpam-975	131	9	max{d	max{d	PROPN
ejpam-975	131	10	(	(	PUNCT
ejpam-975	131	11	f	f	PROPN
ejpam-975	131	12	xn	xn	PROPN
ejpam-975	131	13	,	,	PUNCT
ejpam-975	131	14	f	f	PROPN
ejpam-975	131	15	z	z	PROPN
ejpam-975	131	16	)	)	PUNCT
ejpam-975	131	17	,	,	PUNCT
ejpam-975	132	1	d	d	PROPN
ejpam-975	132	2	(	(	PUNCT
ejpam-975	132	3	f	f	PROPN
ejpam-975	132	4	xn	xn	PROPN
ejpam-975	132	5	,	,	PUNCT
ejpam-975	132	6	t	t	PROPN
ejpam-975	132	7	xn	xn	PROPN
ejpam-975	132	8	)	)	PUNCT
ejpam-975	132	9	,	,	PUNCT
ejpam-975	133	1	d	d	X
ejpam-975	133	2	(	(	PUNCT
ejpam-975	133	3	f	f	PROPN
ejpam-975	133	4	z	z	PROPN
ejpam-975	133	5	,	,	PUNCT
ejpam-975	133	6	tz	tz	PROPN
ejpam-975	133	7	)	)	PUNCT
ejpam-975	133	8	}	}	PUNCT
ejpam-975	133	9	,	,	PUNCT
ejpam-975	133	10	max{d	max{d	PROPN
ejpam-975	133	11	(	(	PUNCT
ejpam-975	133	12	f	f	PROPN
ejpam-975	133	13	xn	xn	PROPN
ejpam-975	133	14	,	,	PUNCT
ejpam-975	133	15	f	f	PROPN
ejpam-975	133	16	z	z	PROPN
ejpam-975	133	17	)	)	PUNCT
ejpam-975	133	18	,	,	PUNCT
ejpam-975	134	1	d	d	PROPN
ejpam-975	134	2	(	(	PUNCT
ejpam-975	134	3	f	f	PROPN
ejpam-975	134	4	xn	xn	PROPN
ejpam-975	134	5	,	,	PUNCT
ejpam-975	134	6	t	t	PROPN
ejpam-975	134	7	xn	xn	PROPN
ejpam-975	134	8	)	)	PUNCT
ejpam-975	134	9	,	,	PUNCT
ejpam-975	135	1	d	d	X
ejpam-975	135	2	(	(	PUNCT
ejpam-975	135	3	f	f	PROPN
ejpam-975	135	4	z	z	PROPN
ejpam-975	135	5	,	,	PUNCT
ejpam-975	135	6	tz	tz	PROPN
ejpam-975	135	7	)	)	PUNCT
ejpam-975	135	8	,	,	PUNCT
ejpam-975	135	9	d	d	PROPN
ejpam-975	135	10	(	(	PUNCT
ejpam-975	135	11	f	f	PROPN
ejpam-975	135	12	xn	xn	PROPN
ejpam-975	135	13	,	,	PUNCT
ejpam-975	135	14	tz	tz	PROPN
ejpam-975	135	15	)	)	PUNCT
ejpam-975	135	16	}	}	PUNCT
ejpam-975	135	17	}	}	PUNCT
ejpam-975	136	1	+	+	CCONJ
ejpam-975	136	2	sup	sup	NOUN
ejpam-975	136	3	x	x	SYM
ejpam-975	136	4	,	,	PUNCT
ejpam-975	136	5	y∈x	y∈x	NOUN
ejpam-975	136	6	ad	ad	NOUN
ejpam-975	136	7	(	(	PUNCT
ejpam-975	136	8	f	f	PROPN
ejpam-975	136	9	xn	xn	PROPN
ejpam-975	136	10	,	,	PUNCT
ejpam-975	136	11	f	f	PROPN
ejpam-975	136	12	z	z	X
ejpam-975	136	13	)	)	PUNCT
ejpam-975	136	14	taking	take	VERB
ejpam-975	136	15	limit	limit	NOUN
ejpam-975	136	16	as	as	ADP
ejpam-975	136	17	n→∞	n→∞	NUM
ejpam-975	136	18	,	,	PUNCT
ejpam-975	136	19	we	we	PRON
ejpam-975	136	20	get	get	VERB
ejpam-975	136	21	d	d	X
ejpam-975	136	22	(	(	PUNCT
ejpam-975	136	23	f	f	PROPN
ejpam-975	136	24	z	z	PROPN
ejpam-975	136	25	,	,	PUNCT
ejpam-975	136	26	tz	tz	PROPN
ejpam-975	136	27	)	)	PUNCT
ejpam-975	136	28	≤	≤	NUM
ejpam-975	136	29	supx	supx	NOUN
ejpam-975	136	30	,	,	PUNCT
ejpam-975	136	31	y∈x	y∈x	NOUN
ejpam-975	136	32	(	(	PUNCT
ejpam-975	136	33	b+	b+	NOUN
ejpam-975	136	34	c+	c+	VERB
ejpam-975	136	35	e)d	e)d	X
ejpam-975	136	36	(	(	PUNCT
ejpam-975	136	37	f	f	PROPN
ejpam-975	136	38	z	z	PROPN
ejpam-975	136	39	,	,	PUNCT
ejpam-975	136	40	tz	tz	PROPN
ejpam-975	136	41	)	)	PUNCT
ejpam-975	136	42	implies	imply	VERB
ejpam-975	136	43	that	that	SCONJ
ejpam-975	136	44	f	f	PROPN
ejpam-975	136	45	z	z	NOUN
ejpam-975	136	46	=	=	SYM
ejpam-975	136	47	tz	tz	PROPN
ejpam-975	136	48	.	.	PUNCT
ejpam-975	136	49	case	case	NOUN
ejpam-975	136	50	(	(	PUNCT
ejpam-975	136	51	b	b	NOUN
ejpam-975	136	52	):	):	PUNCT
ejpam-975	136	53	suppose	suppose	VERB
ejpam-975	136	54	f	f	PROPN
ejpam-975	136	55	is	be	AUX
ejpam-975	136	56	continuous	continuous	ADJ
ejpam-975	136	57	and	and	CCONJ
ejpam-975	136	58	f	f	PROPN
ejpam-975	136	59	and	and	CCONJ
ejpam-975	136	60	t	t	PROPN
ejpam-975	136	61	are	be	AUX
ejpam-975	136	62	compatible	compatible	ADJ
ejpam-975	136	63	.	.	PUNCT
ejpam-975	137	1	then	then	ADV
ejpam-975	137	2	since	since	SCONJ
ejpam-975	137	3	limn→∞	limn→∞	PROPN
ejpam-975	137	4	yn	yn	X
ejpam-975	137	5	=	=	SYM
ejpam-975	137	6	p	p	PROPN
ejpam-975	137	7	,	,	PUNCT
ejpam-975	137	8	we	we	PRON
ejpam-975	137	9	have	have	VERB
ejpam-975	137	10	limn→∞	limn→∞	PROPN
ejpam-975	137	11	f	f	X
ejpam-975	137	12	yn	yn	PROPN
ejpam-975	137	13	=	=	PUNCT
ejpam-975	137	14	f	f	PROPN
ejpam-975	138	1	p.	p.	NOUN
ejpam-975	138	2	now	now	ADV
ejpam-975	138	3	,	,	PUNCT
ejpam-975	138	4	d	d	PROPN
ejpam-975	138	5	(	(	PUNCT
ejpam-975	138	6	f	f	PROPN
ejpam-975	138	7	p	p	PROPN
ejpam-975	138	8	,	,	PUNCT
ejpam-975	138	9	t	t	PROPN
ejpam-975	138	10	p	p	X
ejpam-975	138	11	)	)	PUNCT
ejpam-975	138	12	≤	≤	NUM
ejpam-975	139	1	d	d	PROPN
ejpam-975	139	2	(	(	PUNCT
ejpam-975	139	3	f	f	PROPN
ejpam-975	139	4	p	p	PROPN
ejpam-975	139	5	,	,	PUNCT
ejpam-975	139	6	f	f	PROPN
ejpam-975	139	7	yn+1	yn+1	PUNCT
ejpam-975	139	8	)	)	PUNCT
ejpam-975	139	9	+	+	CCONJ
ejpam-975	140	1	d	d	X
ejpam-975	140	2	(	(	PUNCT
ejpam-975	140	3	f	f	PROPN
ejpam-975	140	4	yn+1	yn+1	PROPN
ejpam-975	140	5	,	,	PUNCT
ejpam-975	140	6	t	t	PROPN
ejpam-975	140	7	p	p	X
ejpam-975	140	8	)	)	PUNCT
ejpam-975	140	9	≤	≤	NUM
ejpam-975	141	1	d	d	PROPN
ejpam-975	141	2	(	(	PUNCT
ejpam-975	141	3	f	f	PROPN
ejpam-975	141	4	p	p	PROPN
ejpam-975	141	5	,	,	PUNCT
ejpam-975	141	6	f	f	PROPN
ejpam-975	141	7	yn+1	yn+1	PUNCT
ejpam-975	141	8	)	)	PUNCT
ejpam-975	141	9	+	+	CCONJ
ejpam-975	142	1	d	d	X
ejpam-975	142	2	(	(	PUNCT
ejpam-975	142	3	f	f	PROPN
ejpam-975	142	4	t	t	PROPN
ejpam-975	142	5	xn	xn	PROPN
ejpam-975	142	6	,	,	PUNCT
ejpam-975	142	7	t	t	PROPN
ejpam-975	142	8	f	f	PROPN
ejpam-975	142	9	xn	xn	PROPN
ejpam-975	142	10	)	)	PUNCT
ejpam-975	142	11	+	+	CCONJ
ejpam-975	142	12	d(t	d(t	PROPN
ejpam-975	142	13	f	f	PROPN
ejpam-975	142	14	xn	xn	PROPN
ejpam-975	142	15	,	,	PUNCT
ejpam-975	142	16	t	t	PROPN
ejpam-975	142	17	p	p	X
ejpam-975	142	18	)	)	PUNCT
ejpam-975	142	19	note	note	NOUN
ejpam-975	142	20	that	that	SCONJ
ejpam-975	142	21	since	since	SCONJ
ejpam-975	142	22	limn→∞	limn→∞	PROPN
ejpam-975	143	1	f	f	X
ejpam-975	143	2	xn	xn	PROPN
ejpam-975	143	3	=	=	SYM
ejpam-975	143	4	limn→∞	limn→∞	PROPN
ejpam-975	143	5	t	t	NOUN
ejpam-975	143	6	xn	xn	PROPN
ejpam-975	143	7	and	and	CCONJ
ejpam-975	143	8	f	f	PROPN
ejpam-975	143	9	,	,	PUNCT
ejpam-975	143	10	t	t	PROPN
ejpam-975	143	11	are	be	AUX
ejpam-975	143	12	compatible	compatible	ADJ
ejpam-975	143	13	,	,	PUNCT
ejpam-975	143	14	limn→∞	limn→∞	PROPN
ejpam-975	143	15	d	d	X
ejpam-975	143	16	�	�	PROPN
ejpam-975	143	17	f	f	PROPN
ejpam-975	143	18	t	t	PROPN
ejpam-975	143	19	xn	xn	PROPN
ejpam-975	143	20	,	,	PUNCT
ejpam-975	143	21	t	t	PROPN
ejpam-975	143	22	f	f	PROPN
ejpam-975	143	23	xn	xn	PROPN
ejpam-975	143	24	�	�	PROPN
ejpam-975	144	1	=	=	PUNCT
ejpam-975	144	2	0	0	PROPN
ejpam-975	144	3	.	.	PUNCT
ejpam-975	145	1	from	from	ADP
ejpam-975	145	2	(	(	PUNCT
ejpam-975	145	3	3),we	3),we	NUM
ejpam-975	145	4	have	have	AUX
ejpam-975	145	5	d(t	d(t	PROPN
ejpam-975	145	6	f	f	PROPN
ejpam-975	145	7	xn	xn	PROPN
ejpam-975	145	8	,	,	PUNCT
ejpam-975	145	9	t	t	PROPN
ejpam-975	145	10	p	p	X
ejpam-975	145	11	)	)	PUNCT
ejpam-975	145	12	≤	≤	NUM
ejpam-975	145	13	ad	ad	NOUN
ejpam-975	145	14	(	(	PUNCT
ejpam-975	145	15	f	f	PROPN
ejpam-975	145	16	f	f	PROPN
ejpam-975	145	17	xn	xn	PROPN
ejpam-975	145	18	,	,	PUNCT
ejpam-975	145	19	f	f	PROPN
ejpam-975	145	20	p	p	X
ejpam-975	145	21	)	)	PUNCT
ejpam-975	146	1	+	+	CCONJ
ejpam-975	146	2	b	b	X
ejpam-975	146	3	max{d	max{d	NOUN
ejpam-975	146	4	(	(	PUNCT
ejpam-975	146	5	f	f	PROPN
ejpam-975	146	6	f	f	PROPN
ejpam-975	146	7	xn	xn	PROPN
ejpam-975	146	8	,	,	PUNCT
ejpam-975	146	9	t	t	PROPN
ejpam-975	146	10	f	f	PROPN
ejpam-975	146	11	xn	xn	PROPN
ejpam-975	146	12	)	)	PUNCT
ejpam-975	146	13	,	,	PUNCT
ejpam-975	147	1	d	d	X
ejpam-975	147	2	(	(	PUNCT
ejpam-975	147	3	f	f	PROPN
ejpam-975	147	4	p	p	PROPN
ejpam-975	147	5	,	,	PUNCT
ejpam-975	147	6	t	t	PROPN
ejpam-975	147	7	p	p	NOUN
ejpam-975	147	8	)	)	PUNCT
ejpam-975	147	9	}	}	PUNCT
ejpam-975	148	1	+	+	CCONJ
ejpam-975	148	2	c	c	NOUN
ejpam-975	148	3	max{d	max{d	PROPN
ejpam-975	148	4	(	(	PUNCT
ejpam-975	148	5	f	f	PROPN
ejpam-975	148	6	f	f	PROPN
ejpam-975	148	7	xn	xn	PROPN
ejpam-975	148	8	,	,	PUNCT
ejpam-975	148	9	f	f	PROPN
ejpam-975	148	10	p	p	NOUN
ejpam-975	148	11	)	)	PUNCT
ejpam-975	148	12	,	,	PUNCT
ejpam-975	149	1	d	d	PROPN
ejpam-975	149	2	(	(	PUNCT
ejpam-975	149	3	f	f	PROPN
ejpam-975	149	4	f	f	PROPN
ejpam-975	149	5	xn	xn	PROPN
ejpam-975	149	6	,	,	PUNCT
ejpam-975	149	7	t	t	PROPN
ejpam-975	149	8	f	f	PROPN
ejpam-975	149	9	xn	xn	PROPN
ejpam-975	149	10	)	)	PUNCT
ejpam-975	149	11	,	,	PUNCT
ejpam-975	149	12	d	d	X
ejpam-975	149	13	(	(	PUNCT
ejpam-975	149	14	f	f	PROPN
ejpam-975	149	15	p	p	PROPN
ejpam-975	149	16	,	,	PUNCT
ejpam-975	149	17	t	t	PROPN
ejpam-975	149	18	p	p	NOUN
ejpam-975	149	19	)	)	PUNCT
ejpam-975	149	20	}	}	PUNCT
ejpam-975	150	1	+	+	CCONJ
ejpam-975	150	2	e	e	X
ejpam-975	150	3	max{d	max{d	PROPN
ejpam-975	150	4	(	(	PUNCT
ejpam-975	150	5	f	f	PROPN
ejpam-975	150	6	f	f	PROPN
ejpam-975	150	7	xn	xn	PROPN
ejpam-975	150	8	,	,	PUNCT
ejpam-975	150	9	f	f	PROPN
ejpam-975	150	10	p	p	NOUN
ejpam-975	150	11	)	)	PUNCT
ejpam-975	150	12	,	,	PUNCT
ejpam-975	150	13	d	d	PROPN
ejpam-975	150	14	(	(	PUNCT
ejpam-975	150	15	f	f	PROPN
ejpam-975	150	16	f	f	PROPN
ejpam-975	150	17	xn	xn	PROPN
ejpam-975	150	18	,	,	PUNCT
ejpam-975	150	19	t	t	PROPN
ejpam-975	150	20	f	f	PROPN
ejpam-975	150	21	xn	xn	PROPN
ejpam-975	150	22	)	)	PUNCT
ejpam-975	150	23	,	,	PUNCT
ejpam-975	151	1	d	d	X
ejpam-975	151	2	(	(	PUNCT
ejpam-975	151	3	f	f	PROPN
ejpam-975	151	4	p	p	PROPN
ejpam-975	151	5	,	,	PUNCT
ejpam-975	151	6	t	t	PROPN
ejpam-975	151	7	p	p	NOUN
ejpam-975	151	8	)	)	PUNCT
ejpam-975	151	9	,	,	PUNCT
ejpam-975	152	1	d	d	PROPN
ejpam-975	152	2	(	(	PUNCT
ejpam-975	152	3	f	f	PROPN
ejpam-975	152	4	f	f	PROPN
ejpam-975	152	5	xn	xn	PROPN
ejpam-975	152	6	,	,	PUNCT
ejpam-975	152	7	t	t	PROPN
ejpam-975	152	8	p	p	X
ejpam-975	152	9	)	)	PUNCT
ejpam-975	152	10	}	}	PUNCT
ejpam-975	152	11	≤	≤	NUM
ejpam-975	152	12	sup	sup	NOUN
ejpam-975	152	13	x	x	SYM
ejpam-975	152	14	,	,	PUNCT
ejpam-975	152	15	y∈x	y∈x	NOUN
ejpam-975	152	16	a(x	a(x	NOUN
ejpam-975	152	17	,	,	PUNCT
ejpam-975	152	18	y)d	y)d	PROPN
ejpam-975	152	19	(	(	PUNCT
ejpam-975	152	20	f	f	PROPN
ejpam-975	152	21	f	f	PROPN
ejpam-975	152	22	xn	xn	PROPN
ejpam-975	152	23	,	,	PUNCT
ejpam-975	152	24	f	f	PROPN
ejpam-975	152	25	p	p	X
ejpam-975	152	26	)	)	PUNCT
ejpam-975	153	1	+	+	CCONJ
ejpam-975	153	2	sup	sup	NOUN
ejpam-975	153	3	x	x	PUNCT
ejpam-975	153	4	,	,	PUNCT
ejpam-975	153	5	y∈x	y∈x	NOUN
ejpam-975	153	6	(	(	PUNCT
ejpam-975	153	7	b(x	b(x	PROPN
ejpam-975	153	8	,	,	PUNCT
ejpam-975	153	9	y	y	PROPN
ejpam-975	153	10	)	)	PUNCT
ejpam-975	154	1	+	+	CCONJ
ejpam-975	154	2	c(x	c(x	NOUN
ejpam-975	154	3	,	,	PUNCT
ejpam-975	154	4	y	y	PROPN
ejpam-975	154	5	)	)	PUNCT
ejpam-975	155	1	+	+	CCONJ
ejpam-975	155	2	e(x	e(x	NUM
ejpam-975	155	3	,	,	PUNCT
ejpam-975	155	4	y	y	NOUN
ejpam-975	155	5	)	)	PUNCT
ejpam-975	155	6	)	)	PUNCT
ejpam-975	156	1	max{max{d	max{max{d	PROPN
ejpam-975	156	2	(	(	PUNCT
ejpam-975	156	3	f	f	PROPN
ejpam-975	156	4	f	f	PROPN
ejpam-975	156	5	xn	xn	PROPN
ejpam-975	156	6	,	,	PUNCT
ejpam-975	156	7	t	t	PROPN
ejpam-975	156	8	f	f	PROPN
ejpam-975	156	9	xn	xn	PROPN
ejpam-975	156	10	)	)	PUNCT
ejpam-975	156	11	,	,	PUNCT
ejpam-975	157	1	d	d	X
ejpam-975	157	2	(	(	PUNCT
ejpam-975	157	3	f	f	PROPN
ejpam-975	157	4	p	p	PROPN
ejpam-975	157	5	,	,	PUNCT
ejpam-975	157	6	t	t	PROPN
ejpam-975	157	7	p	p	NOUN
ejpam-975	157	8	)	)	PUNCT
ejpam-975	157	9	}	}	PUNCT
ejpam-975	157	10	,	,	PUNCT
ejpam-975	157	11	max{d	max{d	PROPN
ejpam-975	157	12	(	(	PUNCT
ejpam-975	157	13	f	f	PROPN
ejpam-975	157	14	f	f	PROPN
ejpam-975	157	15	xn	xn	PROPN
ejpam-975	157	16	,	,	PUNCT
ejpam-975	157	17	f	f	PROPN
ejpam-975	157	18	p	p	NOUN
ejpam-975	157	19	)	)	PUNCT
ejpam-975	157	20	,	,	PUNCT
ejpam-975	158	1	d	d	PROPN
ejpam-975	158	2	(	(	PUNCT
ejpam-975	158	3	f	f	PROPN
ejpam-975	158	4	f	f	PROPN
ejpam-975	158	5	xn	xn	PROPN
ejpam-975	158	6	,	,	PUNCT
ejpam-975	158	7	t	t	PROPN
ejpam-975	158	8	f	f	PROPN
ejpam-975	158	9	xn	xn	PROPN
ejpam-975	158	10	)	)	PUNCT
ejpam-975	158	11	,	,	PUNCT
ejpam-975	158	12	d	d	X
ejpam-975	158	13	(	(	PUNCT
ejpam-975	158	14	f	f	PROPN
ejpam-975	158	15	p	p	PROPN
ejpam-975	158	16	,	,	PUNCT
ejpam-975	158	17	t	t	PROPN
ejpam-975	158	18	p	p	NOUN
ejpam-975	158	19	)	)	PUNCT
ejpam-975	158	20	}	}	PUNCT
ejpam-975	158	21	,	,	PUNCT
ejpam-975	158	22	max{d	max{d	PROPN
ejpam-975	158	23	(	(	PUNCT
ejpam-975	158	24	f	f	PROPN
ejpam-975	158	25	f	f	PROPN
ejpam-975	158	26	xn	xn	PROPN
ejpam-975	158	27	,	,	PUNCT
ejpam-975	158	28	f	f	PROPN
ejpam-975	158	29	p	p	NOUN
ejpam-975	158	30	)	)	PUNCT
ejpam-975	158	31	,	,	PUNCT
ejpam-975	159	1	d	d	PROPN
ejpam-975	159	2	(	(	PUNCT
ejpam-975	159	3	f	f	PROPN
ejpam-975	159	4	f	f	PROPN
ejpam-975	159	5	xn	xn	PROPN
ejpam-975	159	6	,	,	PUNCT
ejpam-975	159	7	t	t	PROPN
ejpam-975	159	8	f	f	PROPN
ejpam-975	159	9	xn	xn	PROPN
ejpam-975	159	10	)	)	PUNCT
ejpam-975	159	11	,	,	PUNCT
ejpam-975	160	1	d	d	X
ejpam-975	160	2	(	(	PUNCT
ejpam-975	160	3	f	f	PROPN
ejpam-975	160	4	p	p	PROPN
ejpam-975	160	5	,	,	PUNCT
ejpam-975	160	6	t	t	PROPN
ejpam-975	160	7	p	p	NOUN
ejpam-975	160	8	)	)	PUNCT
ejpam-975	160	9	,	,	PUNCT
ejpam-975	160	10	d	d	PROPN
ejpam-975	160	11	(	(	PUNCT
ejpam-975	160	12	f	f	PROPN
ejpam-975	160	13	f	f	PROPN
ejpam-975	160	14	xn	xn	PROPN
ejpam-975	160	15	,	,	PUNCT
ejpam-975	160	16	t	t	PROPN
ejpam-975	160	17	p	p	X
ejpam-975	160	18	)	)	PUNCT
ejpam-975	160	19	}	}	PUNCT
ejpam-975	160	20	}	}	PUNCT
ejpam-975	160	21	note	note	VERB
ejpam-975	160	22	that	that	SCONJ
ejpam-975	161	1	d	d	PROPN
ejpam-975	161	2	(	(	PUNCT
ejpam-975	161	3	f	f	PROPN
ejpam-975	161	4	f	f	PROPN
ejpam-975	161	5	xn	xn	PROPN
ejpam-975	161	6	,	,	PUNCT
ejpam-975	161	7	t	t	PROPN
ejpam-975	161	8	f	f	PROPN
ejpam-975	161	9	xn	xn	PROPN
ejpam-975	161	10	)	)	PUNCT
ejpam-975	161	11	≤	≤	NOUN
ejpam-975	162	1	d	d	X
ejpam-975	162	2	(	(	PUNCT
ejpam-975	162	3	f	f	PROPN
ejpam-975	162	4	f	f	PROPN
ejpam-975	162	5	xn	xn	PROPN
ejpam-975	162	6	,	,	PUNCT
ejpam-975	162	7	f	f	PROPN
ejpam-975	162	8	t	t	PROPN
ejpam-975	162	9	xn	xn	PROPN
ejpam-975	162	10	)	)	PUNCT
ejpam-975	163	1	+	+	CCONJ
ejpam-975	164	1	d	d	X
ejpam-975	164	2	(	(	PUNCT
ejpam-975	164	3	f	f	PROPN
ejpam-975	164	4	t	t	PROPN
ejpam-975	164	5	xn	xn	PROPN
ejpam-975	164	6	,	,	PUNCT
ejpam-975	164	7	t	t	PROPN
ejpam-975	164	8	f	f	PROPN
ejpam-975	164	9	xn	xn	PROPN
ejpam-975	164	10	)	)	PUNCT
ejpam-975	164	11	.	.	PUNCT
ejpam-975	165	1	using	use	VERB
ejpam-975	165	2	the	the	DET
ejpam-975	165	3	continuity	continuity	NOUN
ejpam-975	165	4	of	of	ADP
ejpam-975	165	5	f	f	PROPN
ejpam-975	165	6	and	and	CCONJ
ejpam-975	165	7	compatibility	compatibility	NOUN
ejpam-975	165	8	of	of	ADP
ejpam-975	165	9	f	f	PROPN
ejpam-975	165	10	and	and	CCONJ
ejpam-975	165	11	t	t	PROPN
ejpam-975	165	12	,	,	PUNCT
ejpam-975	165	13	it	it	PRON
ejpam-975	165	14	follows	follow	VERB
ejpam-975	165	15	that	that	SCONJ
ejpam-975	165	16	lim	lim	PROPN
ejpam-975	165	17	d	d	PROPN
ejpam-975	165	18	(	(	PUNCT
ejpam-975	165	19	f	f	PROPN
ejpam-975	165	20	f	f	PROPN
ejpam-975	165	21	xn	xn	PROPN
ejpam-975	165	22	,	,	PUNCT
ejpam-975	165	23	t	t	PROPN
ejpam-975	165	24	f	f	PROPN
ejpam-975	165	25	xn	xn	PROPN
ejpam-975	165	26	)	)	PUNCT
ejpam-975	166	1	=	=	SYM
ejpam-975	166	2	0	0	X
ejpam-975	166	3	.	.	PUNCT
ejpam-975	167	1	since	since	SCONJ
ejpam-975	167	2	lim	lim	PROPN
ejpam-975	167	3	f	f	PROPN
ejpam-975	167	4	f	f	PROPN
ejpam-975	168	1	xn	xn	PROPN
ejpam-975	169	1	=	=	PUNCT
ejpam-975	169	2	f	f	PROPN
ejpam-975	169	3	p	p	NOUN
ejpam-975	169	4	,	,	PUNCT
ejpam-975	169	5	it	it	PRON
ejpam-975	169	6	follows	follow	VERB
ejpam-975	169	7	that	that	SCONJ
ejpam-975	169	8	lim	lim	PROPN
ejpam-975	169	9	t	t	PROPN
ejpam-975	169	10	f	f	PROPN
ejpam-975	169	11	xn	xn	PROPN
ejpam-975	170	1	=	=	SYM
ejpam-975	170	2	f	f	PROPN
ejpam-975	171	1	p.	p.	NOUN
ejpam-975	171	2	substituting	substitute	VERB
ejpam-975	171	3	into	into	ADP
ejpam-975	171	4	the	the	DET
ejpam-975	171	5	above	above	ADJ
ejpam-975	171	6	inequality	inequality	NOUN
ejpam-975	171	7	and	and	CCONJ
ejpam-975	171	8	taking	take	VERB
ejpam-975	171	9	limit	limit	NOUN
ejpam-975	171	10	as	as	ADP
ejpam-975	171	11	n→∞	n→∞	NUM
ejpam-975	171	12	,	,	PUNCT
ejpam-975	171	13	we	we	PRON
ejpam-975	171	14	get	get	VERB
ejpam-975	171	15	d	d	PROPN
ejpam-975	171	16	(	(	PUNCT
ejpam-975	171	17	f	f	PROPN
ejpam-975	171	18	p	p	PROPN
ejpam-975	171	19	,	,	PUNCT
ejpam-975	171	20	t	t	PROPN
ejpam-975	171	21	p	p	X
ejpam-975	171	22	)	)	PUNCT
ejpam-975	171	23	≤	≤	PROPN
ejpam-975	171	24	supx	supx	NOUN
ejpam-975	171	25	,	,	PUNCT
ejpam-975	171	26	y∈x	y∈x	NOUN
ejpam-975	171	27	(	(	PUNCT
ejpam-975	171	28	b(x	b(x	NOUN
ejpam-975	171	29	,	,	PUNCT
ejpam-975	171	30	y)+	y)+	NOUN
ejpam-975	171	31	c(x	c(x	NOUN
ejpam-975	171	32	,	,	PUNCT
ejpam-975	171	33	y	y	PROPN
ejpam-975	171	34	)	)	PUNCT
ejpam-975	172	1	+	+	CCONJ
ejpam-975	172	2	e(x	e(x	NUM
ejpam-975	172	3	,	,	PUNCT
ejpam-975	172	4	y))d	y))d	NOUN
ejpam-975	172	5	(	(	PUNCT
ejpam-975	172	6	f	f	PROPN
ejpam-975	172	7	p	p	PROPN
ejpam-975	172	8	,	,	PUNCT
ejpam-975	172	9	t	t	PROPN
ejpam-975	172	10	p	p	X
ejpam-975	172	11	)	)	PUNCT
ejpam-975	172	12	implies	imply	VERB
ejpam-975	172	13	that	that	SCONJ
ejpam-975	172	14	f	f	PROPN
ejpam-975	173	1	p	p	X
ejpam-975	173	2	=	=	PROPN
ejpam-975	173	3	t	t	PROPN
ejpam-975	173	4	p.	p.	NOUN
ejpam-975	173	5	case	case	NOUN
ejpam-975	173	6	(	(	PUNCT
ejpam-975	173	7	c	c	NOUN
ejpam-975	173	8	):	):	PUNCT
ejpam-975	173	9	in	in	ADP
ejpam-975	173	10	this	this	DET
ejpam-975	173	11	case	case	NOUN
ejpam-975	173	12	p	p	X
ejpam-975	173	13	∈	∈	PROPN
ejpam-975	173	14	f	f	X
ejpam-975	173	15	(	(	PUNCT
ejpam-975	173	16	x	x	PROPN
ejpam-975	173	17	)	)	PUNCT
ejpam-975	173	18	.	.	PUNCT
ejpam-975	174	1	let	let	VERB
ejpam-975	174	2	z	z	NOUN
ejpam-975	174	3	∈	∈	PROPN
ejpam-975	174	4	f	f	PROPN
ejpam-975	174	5	−1p	−1p	PROPN
ejpam-975	174	6	.	.	PUNCT
ejpam-975	175	1	then	then	ADV
ejpam-975	175	2	p	p	X
ejpam-975	175	3	=	=	PUNCT
ejpam-975	175	4	f	f	PROPN
ejpam-975	175	5	z	z	NOUN
ejpam-975	175	6	and	and	CCONJ
ejpam-975	175	7	the	the	DET
ejpam-975	175	8	proof	proof	NOUN
ejpam-975	175	9	is	be	AUX
ejpam-975	175	10	complete	complete	ADJ
ejpam-975	175	11	by	by	ADP
ejpam-975	175	12	case	case	NOUN
ejpam-975	175	13	(	(	PUNCT
ejpam-975	175	14	a	a	NOUN
ejpam-975	175	15	)	)	PUNCT
ejpam-975	175	16	.	.	PUNCT
ejpam-975	176	1	p.	p.	NOUN
ejpam-975	176	2	jhade	jhade	PROPN
ejpam-975	176	3	,	,	PUNCT
ejpam-975	176	4	a.	a.	NOUN
ejpam-975	176	5	saluja	saluja	PROPN
ejpam-975	176	6	,	,	PUNCT
ejpam-975	176	7	r.	r.	PROPN
ejpam-975	176	8	kushwah	kushwah	PROPN
ejpam-975	176	9	/	/	SYM
ejpam-975	176	10	eur	eur	PROPN
ejpam-975	176	11	.	.	PUNCT
ejpam-975	177	1	j.	j.	PROPN
ejpam-975	177	2	pure	pure	PROPN
ejpam-975	177	3	appl	appl	PROPN
ejpam-975	177	4	.	.	PROPN
ejpam-975	177	5	math	math	PROPN
ejpam-975	177	6	,	,	PUNCT
ejpam-975	177	7	4	4	NUM
ejpam-975	177	8	(	(	PUNCT
ejpam-975	177	9	2011	2011	NUM
ejpam-975	177	10	)	)	PUNCT
ejpam-975	177	11	,	,	PUNCT
ejpam-975	177	12	330	330	NUM
ejpam-975	177	13	-	-	SYM
ejpam-975	177	14	339	339	NUM
ejpam-975	177	15	334	334	NUM
ejpam-975	177	16	case	case	NOUN
ejpam-975	177	17	(	(	PUNCT
ejpam-975	177	18	d	d	NOUN
ejpam-975	177	19	):	):	PUNCT
ejpam-975	177	20	in	in	ADP
ejpam-975	177	21	this	this	DET
ejpam-975	177	22	case	case	NOUN
ejpam-975	177	23	p	p	PROPN
ejpam-975	177	24	∈	∈	PROPN
ejpam-975	177	25	t	t	NOUN
ejpam-975	177	26	(	(	PUNCT
ejpam-975	177	27	x	x	X
ejpam-975	177	28	)	)	PUNCT
ejpam-975	177	29	⊆	⊆	NUM
ejpam-975	177	30	f	f	X
ejpam-975	177	31	(	(	PUNCT
ejpam-975	177	32	x	x	SYM
ejpam-975	177	33	)	)	PUNCT
ejpam-975	177	34	and	and	CCONJ
ejpam-975	177	35	the	the	DET
ejpam-975	177	36	proof	proof	NOUN
ejpam-975	177	37	is	be	AUX
ejpam-975	177	38	complete	complete	ADJ
ejpam-975	177	39	by	by	ADP
ejpam-975	177	40	case	case	NOUN
ejpam-975	177	41	(	(	PUNCT
ejpam-975	177	42	c	c	NOUN
ejpam-975	177	43	)	)	PUNCT
ejpam-975	177	44	.	.	PUNCT
ejpam-975	178	1	uniqueness	uniqueness	NOUN
ejpam-975	178	2	:	:	PUNCT
ejpam-975	178	3	let	let	VERB
ejpam-975	178	4	q	q	NOUN
ejpam-975	178	5	be	be	AUX
ejpam-975	178	6	another	another	DET
ejpam-975	178	7	coincidence	coincidence	NOUN
ejpam-975	178	8	point	point	NOUN
ejpam-975	178	9	of	of	ADP
ejpam-975	178	10	f	f	PROPN
ejpam-975	178	11	and	and	CCONJ
ejpam-975	178	12	t	t	PROPN
ejpam-975	178	13	,	,	PUNCT
ejpam-975	178	14	then	then	ADV
ejpam-975	178	15	from	from	ADP
ejpam-975	178	16	(	(	PUNCT
ejpam-975	178	17	3	3	NUM
ejpam-975	178	18	)	)	PUNCT
ejpam-975	178	19	with	with	ADP
ejpam-975	178	20	a	a	DET
ejpam-975	178	21	,	,	PUNCT
ejpam-975	178	22	b	b	NOUN
ejpam-975	178	23	,	,	PUNCT
ejpam-975	178	24	c	c	PROPN
ejpam-975	178	25	and	and	CCONJ
ejpam-975	178	26	d	d	PROPN
ejpam-975	178	27	evaluated	evaluate	VERB
ejpam-975	178	28	at	at	ADP
ejpam-975	178	29	(	(	PUNCT
ejpam-975	178	30	p	p	X
ejpam-975	178	31	,	,	PUNCT
ejpam-975	178	32	q	q	NOUN
ejpam-975	178	33	)	)	PUNCT
ejpam-975	178	34	,	,	PUNCT
ejpam-975	178	35	d(t	d(t	PROPN
ejpam-975	178	36	p	p	PROPN
ejpam-975	178	37	,	,	PUNCT
ejpam-975	178	38	tq	tq	NOUN
ejpam-975	178	39	)	)	PUNCT
ejpam-975	178	40	≤	≤	NOUN
ejpam-975	178	41	ad	ad	NOUN
ejpam-975	178	42	(	(	PUNCT
ejpam-975	178	43	f	f	PROPN
ejpam-975	178	44	p	p	PROPN
ejpam-975	178	45	,	,	PUNCT
ejpam-975	178	46	f	f	PROPN
ejpam-975	178	47	q	q	NOUN
ejpam-975	178	48	)	)	PUNCT
ejpam-975	179	1	+	+	CCONJ
ejpam-975	179	2	b	b	X
ejpam-975	179	3	max{d	max{d	NOUN
ejpam-975	179	4	(	(	PUNCT
ejpam-975	179	5	f	f	PROPN
ejpam-975	179	6	p	p	PROPN
ejpam-975	179	7	,	,	PUNCT
ejpam-975	179	8	t	t	PROPN
ejpam-975	179	9	p	p	NOUN
ejpam-975	179	10	)	)	PUNCT
ejpam-975	179	11	,	,	PUNCT
ejpam-975	180	1	d	d	X
ejpam-975	180	2	(	(	PUNCT
ejpam-975	180	3	f	f	X
ejpam-975	180	4	q	q	ADJ
ejpam-975	180	5	,	,	PUNCT
ejpam-975	180	6	tq	tq	NOUN
ejpam-975	180	7	)	)	PUNCT
ejpam-975	180	8	}	}	PUNCT
ejpam-975	180	9	+	+	CCONJ
ejpam-975	180	10	c	c	NOUN
ejpam-975	180	11	max{d	max{d	PROPN
ejpam-975	180	12	(	(	PUNCT
ejpam-975	180	13	f	f	PROPN
ejpam-975	180	14	p	p	PROPN
ejpam-975	180	15	,	,	PUNCT
ejpam-975	180	16	f	f	PROPN
ejpam-975	180	17	q	q	NOUN
ejpam-975	180	18	)	)	PUNCT
ejpam-975	180	19	,	,	PUNCT
ejpam-975	181	1	d	d	PROPN
ejpam-975	181	2	(	(	PUNCT
ejpam-975	181	3	f	f	PROPN
ejpam-975	181	4	p	p	PROPN
ejpam-975	181	5	,	,	PUNCT
ejpam-975	181	6	t	t	PROPN
ejpam-975	181	7	p	p	NOUN
ejpam-975	181	8	)	)	PUNCT
ejpam-975	181	9	,	,	PUNCT
ejpam-975	181	10	d	d	X
ejpam-975	181	11	(	(	PUNCT
ejpam-975	181	12	f	f	X
ejpam-975	181	13	q	q	ADJ
ejpam-975	181	14	,	,	PUNCT
ejpam-975	181	15	tq	tq	NOUN
ejpam-975	181	16	)	)	PUNCT
ejpam-975	181	17	}	}	PUNCT
ejpam-975	181	18	+	+	CCONJ
ejpam-975	181	19	e	e	X
ejpam-975	181	20	max{d	max{d	PROPN
ejpam-975	181	21	(	(	PUNCT
ejpam-975	181	22	f	f	PROPN
ejpam-975	181	23	p	p	PROPN
ejpam-975	181	24	,	,	PUNCT
ejpam-975	181	25	f	f	PROPN
ejpam-975	181	26	q	q	NOUN
ejpam-975	181	27	)	)	PUNCT
ejpam-975	181	28	,	,	PUNCT
ejpam-975	182	1	d	d	PROPN
ejpam-975	182	2	(	(	PUNCT
ejpam-975	182	3	f	f	PROPN
ejpam-975	182	4	p	p	PROPN
ejpam-975	182	5	,	,	PUNCT
ejpam-975	182	6	t	t	PROPN
ejpam-975	182	7	p	p	NOUN
ejpam-975	182	8	)	)	PUNCT
ejpam-975	182	9	,	,	PUNCT
ejpam-975	183	1	d	d	X
ejpam-975	183	2	(	(	PUNCT
ejpam-975	183	3	f	f	X
ejpam-975	183	4	q	q	ADJ
ejpam-975	183	5	,	,	PUNCT
ejpam-975	183	6	tq	tq	NOUN
ejpam-975	183	7	)	)	PUNCT
ejpam-975	183	8	,	,	PUNCT
ejpam-975	183	9	d	d	PROPN
ejpam-975	183	10	(	(	PUNCT
ejpam-975	183	11	f	f	PROPN
ejpam-975	183	12	p	p	X
ejpam-975	183	13	,	,	PUNCT
ejpam-975	183	14	tq	tq	NOUN
ejpam-975	183	15	)	)	PUNCT
ejpam-975	183	16	}	}	PUNCT
ejpam-975	183	17	≤	≤	NOUN
ejpam-975	183	18	(	(	PUNCT
ejpam-975	183	19	a+	a+	PUNCT
ejpam-975	183	20	c	c	X
ejpam-975	184	1	+	+	CCONJ
ejpam-975	184	2	e)d(t	e)d(t	NOUN
ejpam-975	184	3	p	p	X
ejpam-975	184	4	,	,	PUNCT
ejpam-975	184	5	tq	tq	ADP
ejpam-975	184	6	)	)	PUNCT
ejpam-975	184	7	this	this	PRON
ejpam-975	184	8	implies	imply	VERB
ejpam-975	184	9	that	that	SCONJ
ejpam-975	184	10	t	t	PROPN
ejpam-975	184	11	p	p	NOUN
ejpam-975	184	12	=	=	PUNCT
ejpam-975	184	13	tq	tq	INTJ
ejpam-975	184	14	and	and	CCONJ
ejpam-975	184	15	hence	hence	ADV
ejpam-975	184	16	f	f	PROPN
ejpam-975	184	17	p	p	PROPN
ejpam-975	184	18	=	=	SYM
ejpam-975	184	19	f	f	PROPN
ejpam-975	184	20	q.	q.	PROPN
ejpam-975	184	21	corollary	corollary	NOUN
ejpam-975	184	22	1	1	X
ejpam-975	184	23	.	.	PUNCT
ejpam-975	185	1	let	let	AUX
ejpam-975	185	2	(	(	PUNCT
ejpam-975	185	3	x	x	X
ejpam-975	185	4	,	,	PUNCT
ejpam-975	185	5	d	d	X
ejpam-975	185	6	)	)	PUNCT
ejpam-975	185	7	be	be	AUX
ejpam-975	185	8	a	a	DET
ejpam-975	185	9	complete	complete	ADJ
ejpam-975	185	10	metric	metric	ADJ
ejpam-975	185	11	space	space	NOUN
ejpam-975	185	12	and	and	CCONJ
ejpam-975	185	13	t	t	X
ejpam-975	185	14	a	a	DET
ejpam-975	185	15	self	self	NOUN
ejpam-975	185	16	mapping	mapping	NOUN
ejpam-975	185	17	of	of	ADP
ejpam-975	185	18	x	x	X
ejpam-975	185	19	satisfying	satisfy	VERB
ejpam-975	185	20	(	(	PUNCT
ejpam-975	185	21	3	3	NUM
ejpam-975	185	22	)	)	PUNCT
ejpam-975	185	23	with	with	ADP
ejpam-975	185	24	f	f	PROPN
ejpam-975	185	25	=	=	PUNCT
ejpam-975	185	26	i	i	PROPN
ejpam-975	185	27	,	,	PUNCT
ejpam-975	185	28	the	the	DET
ejpam-975	185	29	identity	identity	NOUN
ejpam-975	185	30	map	map	NOUN
ejpam-975	185	31	on	on	ADP
ejpam-975	185	32	x	x	PUNCT
ejpam-975	185	33	and	and	CCONJ
ejpam-975	185	34	supx	supx	PROPN
ejpam-975	185	35	,	,	PUNCT
ejpam-975	185	36	y∈x	y∈x	NOUN
ejpam-975	185	37	(	(	PUNCT
ejpam-975	185	38	a(x	a(x	NOUN
ejpam-975	185	39	,	,	PUNCT
ejpam-975	185	40	y	y	PROPN
ejpam-975	185	41	)	)	PUNCT
ejpam-975	186	1	+	+	CCONJ
ejpam-975	186	2	2b(x	2b(x	NUM
ejpam-975	186	3	,	,	PUNCT
ejpam-975	186	4	y	y	NOUN
ejpam-975	186	5	)	)	PUNCT
ejpam-975	187	1	+	+	CCONJ
ejpam-975	187	2	c(x	c(x	NOUN
ejpam-975	187	3	,	,	PUNCT
ejpam-975	187	4	y	y	PROPN
ejpam-975	187	5	)	)	PUNCT
ejpam-975	188	1	+	+	CCONJ
ejpam-975	188	2	e(x	e(x	NUM
ejpam-975	188	3	,	,	PUNCT
ejpam-975	188	4	y	y	NOUN
ejpam-975	188	5	)	)	PUNCT
ejpam-975	188	6	)	)	PUNCT
ejpam-975	189	1	=	=	SYM
ejpam-975	189	2	1	1	X
ejpam-975	189	3	.	.	PUNCT
ejpam-975	190	1	then	then	ADV
ejpam-975	190	2	t	t	PROPN
ejpam-975	190	3	has	have	VERB
ejpam-975	190	4	a	a	DET
ejpam-975	190	5	unique	unique	ADJ
ejpam-975	190	6	fixed	fix	VERB
ejpam-975	190	7	point	point	NOUN
ejpam-975	190	8	and	and	CCONJ
ejpam-975	190	9	at	at	ADP
ejpam-975	190	10	this	this	DET
ejpam-975	190	11	fixed	fix	VERB
ejpam-975	190	12	point	point	NOUN
ejpam-975	190	13	t	t	PROPN
ejpam-975	190	14	is	be	AUX
ejpam-975	190	15	continuous	continuous	ADJ
ejpam-975	190	16	.	.	PUNCT
ejpam-975	191	1	proof	proof	NOUN
ejpam-975	191	2	.	.	PUNCT
ejpam-975	192	1	the	the	DET
ejpam-975	192	2	existence	existence	NOUN
ejpam-975	192	3	and	and	CCONJ
ejpam-975	192	4	uniqueness	uniqueness	NOUN
ejpam-975	192	5	of	of	ADP
ejpam-975	192	6	the	the	DET
ejpam-975	192	7	fixed	fix	VERB
ejpam-975	192	8	point	point	NOUN
ejpam-975	192	9	comes	come	VERB
ejpam-975	192	10	from	from	ADP
ejpam-975	192	11	theorem	theorem	NOUN
ejpam-975	192	12	1	1	NUM
ejpam-975	192	13	by	by	ADP
ejpam-975	192	14	setting	set	VERB
ejpam-975	192	15	f	f	PROPN
ejpam-975	192	16	=	=	PUNCT
ejpam-975	192	17	i	i	PROPN
ejpam-975	192	18	.	.	PUNCT
ejpam-975	193	1	to	to	PART
ejpam-975	193	2	prove	prove	VERB
ejpam-975	193	3	continuity	continuity	NOUN
ejpam-975	193	4	,	,	PUNCT
ejpam-975	193	5	let	let	VERB
ejpam-975	193	6	{	{	PUNCT
ejpam-975	193	7	yn	yn	NOUN
ejpam-975	193	8	}	}	PUNCT
ejpam-975	193	9	⊂	⊂	PROPN
ejpam-975	193	10	x	x	PUNCT
ejpam-975	193	11	with	with	ADP
ejpam-975	193	12	lim	lim	PROPN
ejpam-975	193	13	yn	yn	PROPN
ejpam-975	193	14	=	=	SYM
ejpam-975	193	15	p	p	PROPN
ejpam-975	193	16	,	,	PUNCT
ejpam-975	193	17	p	p	X
ejpam-975	193	18	the	the	DET
ejpam-975	193	19	unique	unique	ADJ
ejpam-975	193	20	fixed	fix	VERB
ejpam-975	193	21	point	point	NOUN
ejpam-975	193	22	of	of	ADP
ejpam-975	193	23	t	t	PROPN
ejpam-975	193	24	.	.	PUNCT
ejpam-975	194	1	using	use	VERB
ejpam-975	194	2	(	(	PUNCT
ejpam-975	194	3	3	3	NUM
ejpam-975	194	4	)	)	PUNCT
ejpam-975	194	5	,	,	PUNCT
ejpam-975	194	6	we	we	PRON
ejpam-975	194	7	have	have	VERB
ejpam-975	194	8	d(t	d(t	PROPN
ejpam-975	194	9	yn	yn	PROPN
ejpam-975	194	10	,	,	PUNCT
ejpam-975	194	11	t	t	PROPN
ejpam-975	194	12	p	p	X
ejpam-975	194	13	)	)	PUNCT
ejpam-975	194	14	≤	≤	NOUN
ejpam-975	194	15	ad(yn	ad(yn	ADJ
ejpam-975	194	16	,	,	PUNCT
ejpam-975	194	17	p	p	NOUN
ejpam-975	194	18	)	)	PUNCT
ejpam-975	195	1	+	+	NOUN
ejpam-975	195	2	b	b	X
ejpam-975	195	3	max{d(yn	max{d(yn	NOUN
ejpam-975	195	4	,	,	PUNCT
ejpam-975	195	5	t	t	PROPN
ejpam-975	195	6	yn	yn	PROPN
ejpam-975	195	7	)	)	PUNCT
ejpam-975	195	8	,	,	PUNCT
ejpam-975	195	9	d(p	d(p	PROPN
ejpam-975	195	10	,	,	PUNCT
ejpam-975	195	11	t	t	PROPN
ejpam-975	195	12	p	p	NOUN
ejpam-975	195	13	)	)	PUNCT
ejpam-975	195	14	}	}	PUNCT
ejpam-975	196	1	+	+	CCONJ
ejpam-975	196	2	c	c	NOUN
ejpam-975	196	3	max{d(yn	max{d(yn	NOUN
ejpam-975	196	4	,	,	PUNCT
ejpam-975	196	5	p	p	NOUN
ejpam-975	196	6	)	)	PUNCT
ejpam-975	196	7	,	,	PUNCT
ejpam-975	196	8	d(yn	d(yn	PROPN
ejpam-975	196	9	,	,	PUNCT
ejpam-975	196	10	t	t	PROPN
ejpam-975	196	11	yn	yn	PROPN
ejpam-975	196	12	)	)	PUNCT
ejpam-975	196	13	,	,	PUNCT
ejpam-975	196	14	d(p	d(p	PROPN
ejpam-975	196	15	,	,	PUNCT
ejpam-975	196	16	t	t	PROPN
ejpam-975	196	17	p	p	NOUN
ejpam-975	196	18	)	)	PUNCT
ejpam-975	196	19	}	}	PUNCT
ejpam-975	196	20	+	+	CCONJ
ejpam-975	196	21	e	e	NOUN
ejpam-975	196	22	max{d(yn	max{d(yn	NOUN
ejpam-975	196	23	,	,	PUNCT
ejpam-975	196	24	p	p	NOUN
ejpam-975	196	25	)	)	PUNCT
ejpam-975	196	26	,	,	PUNCT
ejpam-975	196	27	d(yn	d(yn	PROPN
ejpam-975	196	28	,	,	PUNCT
ejpam-975	196	29	t	t	PROPN
ejpam-975	196	30	yn	yn	PROPN
ejpam-975	196	31	)	)	PUNCT
ejpam-975	196	32	,	,	PUNCT
ejpam-975	196	33	d(p	d(p	PROPN
ejpam-975	196	34	,	,	PUNCT
ejpam-975	196	35	t	t	PROPN
ejpam-975	196	36	p	p	X
ejpam-975	196	37	)	)	PUNCT
ejpam-975	196	38	,	,	PUNCT
ejpam-975	196	39	d(yn	d(yn	PROPN
ejpam-975	196	40	,	,	PUNCT
ejpam-975	196	41	t	t	PROPN
ejpam-975	196	42	p	p	X
ejpam-975	196	43	)	)	PUNCT
ejpam-975	196	44	}	}	PUNCT
ejpam-975	196	45	≤	≤	ADJ
ejpam-975	196	46	ad(yn	ad(yn	ADJ
ejpam-975	196	47	,	,	PUNCT
ejpam-975	196	48	p	p	NOUN
ejpam-975	196	49	)	)	PUNCT
ejpam-975	196	50	+	+	NOUN
ejpam-975	196	51	b	b	X
ejpam-975	196	52	max{d(yn	max{d(yn	NOUN
ejpam-975	196	53	,	,	PUNCT
ejpam-975	196	54	t	t	PROPN
ejpam-975	196	55	yn	yn	PROPN
ejpam-975	196	56	)	)	PUNCT
ejpam-975	196	57	,	,	PUNCT
ejpam-975	196	58	d(p	d(p	PROPN
ejpam-975	196	59	,	,	PUNCT
ejpam-975	196	60	p	p	X
ejpam-975	196	61	}	}	PUNCT
ejpam-975	196	62	+	+	NUM
ejpam-975	196	63	c	c	NOUN
ejpam-975	196	64	max{d(yn	max{d(yn	NOUN
ejpam-975	196	65	,	,	PUNCT
ejpam-975	196	66	p	p	NOUN
ejpam-975	196	67	)	)	PUNCT
ejpam-975	196	68	,	,	PUNCT
ejpam-975	196	69	d(yn	d(yn	PROPN
ejpam-975	196	70	,	,	PUNCT
ejpam-975	196	71	t	t	PROPN
ejpam-975	196	72	yn	yn	PROPN
ejpam-975	196	73	)	)	PUNCT
ejpam-975	196	74	,	,	PUNCT
ejpam-975	196	75	d(p	d(p	PROPN
ejpam-975	196	76	,	,	PUNCT
ejpam-975	196	77	p	p	X
ejpam-975	196	78	)	)	PUNCT
ejpam-975	196	79	}	}	PUNCT
ejpam-975	196	80	+	+	CCONJ
ejpam-975	196	81	e	e	NOUN
ejpam-975	196	82	max{d(yn	max{d(yn	NOUN
ejpam-975	196	83	,	,	PUNCT
ejpam-975	196	84	p	p	NOUN
ejpam-975	196	85	)	)	PUNCT
ejpam-975	196	86	,	,	PUNCT
ejpam-975	196	87	d(yn	d(yn	PROPN
ejpam-975	196	88	,	,	PUNCT
ejpam-975	196	89	t	t	PROPN
ejpam-975	196	90	yn	yn	PROPN
ejpam-975	196	91	)	)	PUNCT
ejpam-975	196	92	,	,	PUNCT
ejpam-975	196	93	d(p	d(p	PROPN
ejpam-975	196	94	,	,	PUNCT
ejpam-975	196	95	p	p	NOUN
ejpam-975	196	96	)	)	PUNCT
ejpam-975	196	97	,	,	PUNCT
ejpam-975	196	98	d(yn	d(yn	PROPN
ejpam-975	196	99	,	,	PUNCT
ejpam-975	196	100	p	p	NOUN
ejpam-975	196	101	)	)	PUNCT
ejpam-975	196	102	}	}	PUNCT
ejpam-975	196	103	≤	≤	ADJ
ejpam-975	196	104	ad(yn	ad(yn	ADJ
ejpam-975	196	105	,	,	PUNCT
ejpam-975	196	106	p	p	X
ejpam-975	196	107	)	)	PUNCT
ejpam-975	196	108	+	+	CCONJ
ejpam-975	196	109	b[d(yn	b[d(yn	ADJ
ejpam-975	196	110	,	,	PUNCT
ejpam-975	196	111	p	p	NOUN
ejpam-975	196	112	)	)	PUNCT
ejpam-975	196	113	+	+	CCONJ
ejpam-975	196	114	d(p	d(p	PROPN
ejpam-975	196	115	,	,	PUNCT
ejpam-975	196	116	t	t	PROPN
ejpam-975	196	117	yn	yn	PROPN
ejpam-975	196	118	)	)	PUNCT
ejpam-975	196	119	]	]	PUNCT
ejpam-975	197	1	+	+	CCONJ
ejpam-975	197	2	c	c	NOUN
ejpam-975	197	3	max{d(yn	max{d(yn	NOUN
ejpam-975	197	4	,	,	PUNCT
ejpam-975	197	5	p	p	NOUN
ejpam-975	197	6	)	)	PUNCT
ejpam-975	197	7	,	,	PUNCT
ejpam-975	197	8	d(yn	d(yn	PROPN
ejpam-975	197	9	,	,	PUNCT
ejpam-975	197	10	p	p	NOUN
ejpam-975	197	11	)	)	PUNCT
ejpam-975	197	12	+	+	CCONJ
ejpam-975	197	13	d(p	d(p	PROPN
ejpam-975	197	14	,	,	PUNCT
ejpam-975	197	15	t	t	PROPN
ejpam-975	197	16	yn	yn	PROPN
ejpam-975	197	17	)	)	PUNCT
ejpam-975	197	18	}	}	PUNCT
ejpam-975	197	19	+	+	CCONJ
ejpam-975	197	20	e	e	NOUN
ejpam-975	197	21	max{d(yn	max{d(yn	NOUN
ejpam-975	197	22	,	,	PUNCT
ejpam-975	197	23	p	p	NOUN
ejpam-975	197	24	)	)	PUNCT
ejpam-975	197	25	,	,	PUNCT
ejpam-975	197	26	d(yn	d(yn	PROPN
ejpam-975	197	27	,	,	PUNCT
ejpam-975	197	28	p	p	NOUN
ejpam-975	197	29	)	)	PUNCT
ejpam-975	197	30	+	+	CCONJ
ejpam-975	197	31	d(p	d(p	PROPN
ejpam-975	197	32	,	,	PUNCT
ejpam-975	197	33	t	t	PROPN
ejpam-975	197	34	yn	yn	PROPN
ejpam-975	197	35	)	)	PUNCT
ejpam-975	197	36	}	}	PUNCT
ejpam-975	197	37	hence	hence	ADV
ejpam-975	197	38	d(t	d(t	PROPN
ejpam-975	197	39	yn	yn	PROPN
ejpam-975	197	40	,	,	PUNCT
ejpam-975	197	41	p	p	NOUN
ejpam-975	197	42	)	)	PUNCT
ejpam-975	197	43	≤	≤	NUM
ejpam-975	197	44	sup	sup	NOUN
ejpam-975	197	45	x	x	SYM
ejpam-975	197	46	,	,	PUNCT
ejpam-975	197	47	y∈x	y∈x	NOUN
ejpam-975	197	48	(	(	PUNCT
ejpam-975	197	49	a+	a+	PUNCT
ejpam-975	197	50	b)d(yn	b)d(yn	X
ejpam-975	197	51	,	,	PUNCT
ejpam-975	197	52	p	p	NOUN
ejpam-975	197	53	)	)	PUNCT
ejpam-975	198	1	+	+	CCONJ
ejpam-975	198	2	sup	sup	NOUN
ejpam-975	198	3	x	x	PUNCT
ejpam-975	198	4	,	,	PUNCT
ejpam-975	198	5	y∈x	y∈x	NOUN
ejpam-975	198	6	(	(	PUNCT
ejpam-975	198	7	b+	b+	X
ejpam-975	198	8	c	c	X
ejpam-975	198	9	+	+	NUM
ejpam-975	198	10	e	e	NOUN
ejpam-975	198	11	)	)	PUNCT
ejpam-975	198	12	max{d(p	max{d(p	PROPN
ejpam-975	198	13	,	,	PUNCT
ejpam-975	198	14	t	t	PROPN
ejpam-975	198	15	yn),max{d(yn	yn),max{d(yn	PROPN
ejpam-975	198	16	,	,	PUNCT
ejpam-975	198	17	p	p	NOUN
ejpam-975	198	18	)	)	PUNCT
ejpam-975	198	19	,	,	PUNCT
ejpam-975	198	20	d(yn	d(yn	PROPN
ejpam-975	198	21	,	,	PUNCT
ejpam-975	198	22	p	p	NOUN
ejpam-975	198	23	)	)	PUNCT
ejpam-975	198	24	+	+	CCONJ
ejpam-975	198	25	d(p	d(p	PROPN
ejpam-975	198	26	,	,	PUNCT
ejpam-975	198	27	t	t	PROPN
ejpam-975	198	28	yn	yn	PROPN
ejpam-975	198	29	)	)	PUNCT
ejpam-975	198	30	}	}	PUNCT
ejpam-975	198	31	}	}	PUNCT
ejpam-975	198	32	≤	≤	NUM
ejpam-975	198	33	sup	sup	NOUN
ejpam-975	198	34	x	x	SYM
ejpam-975	198	35	,	,	PUNCT
ejpam-975	198	36	y∈x	y∈x	NOUN
ejpam-975	198	37	(	(	PUNCT
ejpam-975	198	38	b+	b+	X
ejpam-975	198	39	c	c	X
ejpam-975	198	40	+	+	CCONJ
ejpam-975	198	41	e	e	X
ejpam-975	198	42	1−	1−	NUM
ejpam-975	198	43	a−	a−	PROPN
ejpam-975	198	44	b	b	PROPN
ejpam-975	198	45	)	)	PUNCT
ejpam-975	198	46	d(yn	d(yn	PROPN
ejpam-975	198	47	,	,	PUNCT
ejpam-975	198	48	p	p	NOUN
ejpam-975	198	49	)	)	PUNCT
ejpam-975	198	50	taking	take	VERB
ejpam-975	198	51	limit	limit	NOUN
ejpam-975	198	52	as	as	ADP
ejpam-975	198	53	n→∞	n→∞	NUM
ejpam-975	198	54	we	we	PRON
ejpam-975	198	55	get	get	VERB
ejpam-975	198	56	lim	lim	PROPN
ejpam-975	198	57	t	t	PROPN
ejpam-975	198	58	yn	yn	PROPN
ejpam-975	199	1	=	=	PUNCT
ejpam-975	199	2	p	p	PROPN
ejpam-975	199	3	=	=	PROPN
ejpam-975	199	4	t	t	PROPN
ejpam-975	199	5	p.	p.	NOUN
ejpam-975	200	1	next	next	ADV
ejpam-975	200	2	we	we	PRON
ejpam-975	200	3	establish	establish	VERB
ejpam-975	200	4	some	some	DET
ejpam-975	200	5	results	result	NOUN
ejpam-975	200	6	when	when	SCONJ
ejpam-975	200	7	t	t	PROPN
ejpam-975	200	8	is	be	AUX
ejpam-975	200	9	a	a	DET
ejpam-975	200	10	multi	multi	ADJ
ejpam-975	200	11	-	-	ADJ
ejpam-975	200	12	valued	value	VERB
ejpam-975	200	13	map	map	NOUN
ejpam-975	200	14	from	from	ADP
ejpam-975	200	15	a	a	DET
ejpam-975	200	16	metric	metric	ADJ
ejpam-975	200	17	space	space	NOUN
ejpam-975	200	18	x	x	X
ejpam-975	200	19	to	to	ADP
ejpam-975	200	20	the	the	DET
ejpam-975	200	21	collection	collection	NOUN
ejpam-975	200	22	of	of	ADP
ejpam-975	200	23	nonempty	nonempty	NOUN
ejpam-975	200	24	subset	subset	NOUN
ejpam-975	200	25	of	of	ADP
ejpam-975	200	26	x	x	PRON
ejpam-975	200	27	,	,	PUNCT
ejpam-975	200	28	and	and	CCONJ
ejpam-975	200	29	f	f	PROPN
ejpam-975	200	30	is	be	AUX
ejpam-975	200	31	a	a	DET
ejpam-975	200	32	self	self	NOUN
ejpam-975	200	33	map	map	NOUN
ejpam-975	200	34	of	of	ADP
ejpam-975	200	35	x	x	X
ejpam-975	200	36	.	.	PUNCT
ejpam-975	201	1	let	let	AUX
ejpam-975	201	2	c(x	c(x	NOUN
ejpam-975	201	3	)	)	PUNCT
ejpam-975	201	4	denote	denote	VERB
ejpam-975	201	5	the	the	DET
ejpam-975	201	6	collection	collection	NOUN
ejpam-975	201	7	of	of	ADP
ejpam-975	201	8	all	all	DET
ejpam-975	201	9	nonempty	nonempty	ADJ
ejpam-975	201	10	compact	compact	ADJ
ejpam-975	201	11	subset	subset	NOUN
ejpam-975	201	12	of	of	ADP
ejpam-975	201	13	x	x	X
ejpam-975	201	14	.	.	PUNCT
ejpam-975	202	1	p.	p.	NOUN
ejpam-975	202	2	jhade	jhade	PROPN
ejpam-975	202	3	,	,	PUNCT
ejpam-975	202	4	a.	a.	NOUN
ejpam-975	202	5	saluja	saluja	PROPN
ejpam-975	202	6	,	,	PUNCT
ejpam-975	202	7	r.	r.	PROPN
ejpam-975	202	8	kushwah	kushwah	PROPN
ejpam-975	202	9	/	/	SYM
ejpam-975	202	10	eur	eur	PROPN
ejpam-975	202	11	.	.	PUNCT
ejpam-975	203	1	j.	j.	PROPN
ejpam-975	203	2	pure	pure	PROPN
ejpam-975	203	3	appl	appl	PROPN
ejpam-975	203	4	.	.	PROPN
ejpam-975	203	5	math	math	PROPN
ejpam-975	203	6	,	,	PUNCT
ejpam-975	203	7	4	4	NUM
ejpam-975	203	8	(	(	PUNCT
ejpam-975	203	9	2011	2011	NUM
ejpam-975	203	10	)	)	PUNCT
ejpam-975	203	11	,	,	PUNCT
ejpam-975	203	12	330	330	NUM
ejpam-975	203	13	-	-	SYM
ejpam-975	203	14	339	339	NUM
ejpam-975	203	15	335	335	NUM
ejpam-975	203	16	definition	definition	NOUN
ejpam-975	203	17	2	2	NUM
ejpam-975	203	18	(	(	PUNCT
ejpam-975	203	19	[	[	X
ejpam-975	203	20	3	3	NUM
ejpam-975	203	21	]	]	NUM
ejpam-975	203	22	)	)	PUNCT
ejpam-975	203	23	.	.	PUNCT
ejpam-975	204	1	an	an	DET
ejpam-975	204	2	orbit	orbit	NOUN
ejpam-975	204	3	of	of	ADP
ejpam-975	204	4	the	the	DET
ejpam-975	204	5	multi	multi	ADJ
ejpam-975	204	6	-	-	ADJ
ejpam-975	204	7	valued	value	VERB
ejpam-975	204	8	map	map	NOUN
ejpam-975	204	9	t	t	NOUN
ejpam-975	204	10	at	at	ADP
ejpam-975	204	11	a	a	DET
ejpam-975	204	12	point	point	NOUN
ejpam-975	204	13	x0	x0	PROPN
ejpam-975	204	14	in	in	ADP
ejpam-975	204	15	x	x	PROPN
ejpam-975	204	16	is	be	AUX
ejpam-975	204	17	a	a	DET
ejpam-975	204	18	sequence	sequence	NOUN
ejpam-975	204	19	{	{	PUNCT
ejpam-975	204	20	xn	xn	PROPN
ejpam-975	204	21	:	:	PUNCT
ejpam-975	205	1	xn	xn	PROPN
ejpam-975	205	2	∈	∈	PROPN
ejpam-975	205	3	t	t	X
ejpam-975	205	4	xn−1	xn−1	PROPN
ejpam-975	205	5	}	}	PUNCT
ejpam-975	205	6	.	.	PUNCT
ejpam-975	206	1	a	a	DET
ejpam-975	206	2	space	space	NOUN
ejpam-975	206	3	x	x	PUNCT
ejpam-975	206	4	is	be	AUX
ejpam-975	206	5	t−orbitally	t−orbitally	ADV
ejpam-975	206	6	complete	complete	ADJ
ejpam-975	206	7	if	if	SCONJ
ejpam-975	206	8	every	every	DET
ejpam-975	206	9	cauchy	cauchy	ADJ
ejpam-975	206	10	sequence	sequence	NOUN
ejpam-975	206	11	of	of	ADP
ejpam-975	206	12	the	the	DET
ejpam-975	206	13	form	form	NOUN
ejpam-975	206	14	{	{	PUNCT
ejpam-975	206	15	xni	xni	NOUN
ejpam-975	206	16	:	:	PUNCT
ejpam-975	206	17	xni	xni	PROPN
ejpam-975	206	18	∈	∈	PROPN
ejpam-975	206	19	t	t	PROPN
ejpam-975	206	20	xni−1	xni−1	PROPN
ejpam-975	206	21	}	}	PUNCT
ejpam-975	206	22	converges	converge	VERB
ejpam-975	206	23	in	in	ADP
ejpam-975	206	24	x	x	X
ejpam-975	206	25	.	.	PUNCT
ejpam-975	207	1	definition	definition	NOUN
ejpam-975	207	2	3	3	NUM
ejpam-975	207	3	(	(	PUNCT
ejpam-975	207	4	[	[	X
ejpam-975	207	5	7	7	NUM
ejpam-975	207	6	]	]	NUM
ejpam-975	207	7	)	)	PUNCT
ejpam-975	207	8	.	.	PUNCT
ejpam-975	208	1	if	if	SCONJ
ejpam-975	208	2	for	for	ADP
ejpam-975	208	3	a	a	DET
ejpam-975	208	4	point	point	NOUN
ejpam-975	208	5	x0	x0	PROPN
ejpam-975	208	6	in	in	ADP
ejpam-975	208	7	x	x	X
ejpam-975	208	8	,	,	PUNCT
ejpam-975	208	9	there	there	PRON
ejpam-975	208	10	exists	exist	VERB
ejpam-975	208	11	a	a	DET
ejpam-975	208	12	sequence	sequence	NOUN
ejpam-975	208	13	{	{	PUNCT
ejpam-975	208	14	xn	xn	NOUN
ejpam-975	208	15	}	}	PUNCT
ejpam-975	208	16	⊂	⊂	PROPN
ejpam-975	208	17	x	x	PUNCT
ejpam-975	208	18	such	such	ADJ
ejpam-975	208	19	that	that	SCONJ
ejpam-975	208	20	f	f	PROPN
ejpam-975	208	21	xn+1	xn+1	PROPN
ejpam-975	208	22	∈	∈	PROPN
ejpam-975	208	23	t	t	PROPN
ejpam-975	208	24	xn	xn	PROPN
ejpam-975	208	25	,	,	PUNCT
ejpam-975	208	26	n	n	NOUN
ejpam-975	208	27	=	=	SYM
ejpam-975	208	28	0,1,2	0,1,2	NUM
ejpam-975	208	29	,	,	PUNCT
ejpam-975	208	30	·	·	PUNCT
ejpam-975	208	31	·	·	PUNCT
ejpam-975	208	32	·	·	PUNCT
ejpam-975	208	33	,	,	PUNCT
ejpam-975	208	34	then	then	ADV
ejpam-975	208	35	of	of	ADP
ejpam-975	208	36	(	(	PUNCT
ejpam-975	208	37	x0	x0	PROPN
ejpam-975	208	38	)	)	PUNCT
ejpam-975	208	39	=	=	PRON
ejpam-975	208	40	{	{	PUNCT
ejpam-975	208	41	f	f	NOUN
ejpam-975	208	42	xn	xn	PROPN
ejpam-975	208	43	:	:	PUNCT
ejpam-975	208	44	n	n	PROPN
ejpam-975	208	45	=	=	SYM
ejpam-975	208	46	1,2	1,2	NUM
ejpam-975	208	47	,	,	PUNCT
ejpam-975	208	48	·	·	PUNCT
ejpam-975	208	49	·	·	PUNCT
ejpam-975	208	50	·	·	PUNCT
ejpam-975	208	51	}	}	PUNCT
ejpam-975	208	52	is	be	AUX
ejpam-975	208	53	an	an	DET
ejpam-975	208	54	orbit	orbit	NOUN
ejpam-975	208	55	of	of	ADP
ejpam-975	208	56	(	(	PUNCT
ejpam-975	208	57	t	t	PROPN
ejpam-975	208	58	,	,	PUNCT
ejpam-975	208	59	f	f	PROPN
ejpam-975	208	60	)	)	PUNCT
ejpam-975	208	61	at	at	ADP
ejpam-975	208	62	x0	x0	PROPN
ejpam-975	208	63	.	.	PUNCT
ejpam-975	209	1	a	a	DET
ejpam-975	209	2	space	space	NOUN
ejpam-975	209	3	x	x	PUNCT
ejpam-975	209	4	is	be	AUX
ejpam-975	209	5	called	call	VERB
ejpam-975	209	6	(	(	PUNCT
ejpam-975	209	7	t	t	PROPN
ejpam-975	209	8	,	,	PUNCT
ejpam-975	209	9	f	f	PROPN
ejpam-975	209	10	)	)	PUNCT
ejpam-975	209	11	−orbitally	−orbitally	ADV
ejpam-975	209	12	complete	complete	ADJ
ejpam-975	209	13	if	if	SCONJ
ejpam-975	209	14	every	every	DET
ejpam-975	209	15	cauchy	cauchy	ADJ
ejpam-975	209	16	sequence	sequence	NOUN
ejpam-975	209	17	of	of	ADP
ejpam-975	209	18	the	the	DET
ejpam-975	209	19	form	form	NOUN
ejpam-975	209	20	{	{	PUNCT
ejpam-975	209	21	f	f	NOUN
ejpam-975	209	22	xni	xni	PROPN
ejpam-975	209	23	:	:	PUNCT
ejpam-975	210	1	f	f	PROPN
ejpam-975	210	2	xni	xni	PROPN
ejpam-975	210	3	∈	∈	PROPN
ejpam-975	210	4	t	t	PROPN
ejpam-975	210	5	xni−1	xni−1	PROPN
ejpam-975	210	6	}	}	PUNCT
ejpam-975	210	7	converges	converge	VERB
ejpam-975	210	8	in	in	ADP
ejpam-975	210	9	x	x	X
ejpam-975	210	10	.	.	PUNCT
ejpam-975	211	1	theorem	theorem	NOUN
ejpam-975	211	2	2	2	NUM
ejpam-975	211	3	.	.	PUNCT
ejpam-975	212	1	let	let	VERB
ejpam-975	212	2	x	x	PRON
ejpam-975	212	3	be	be	AUX
ejpam-975	212	4	a	a	DET
ejpam-975	212	5	metric	metric	ADJ
ejpam-975	212	6	space	space	NOUN
ejpam-975	212	7	,	,	PUNCT
ejpam-975	212	8	t	t	PROPN
ejpam-975	212	9	a	a	DET
ejpam-975	212	10	multi	multi	ADJ
ejpam-975	212	11	-	-	ADJ
ejpam-975	212	12	valued	value	VERB
ejpam-975	212	13	map	map	NOUN
ejpam-975	212	14	from	from	ADP
ejpam-975	212	15	x	x	PRON
ejpam-975	212	16	to	to	ADP
ejpam-975	212	17	c(x	c(x	NOUN
ejpam-975	212	18	)	)	PUNCT
ejpam-975	212	19	.	.	PUNCT
ejpam-975	213	1	let	let	VERB
ejpam-975	213	2	f	f	PRON
ejpam-975	213	3	be	be	AUX
ejpam-975	213	4	a	a	DET
ejpam-975	213	5	self	self	NOUN
ejpam-975	213	6	map	map	NOUN
ejpam-975	213	7	of	of	ADP
ejpam-975	213	8	x	x	SYM
ejpam-975	213	9	such	such	ADJ
ejpam-975	213	10	that	that	PRON
ejpam-975	213	11	t	t	NOUN
ejpam-975	213	12	(	(	PUNCT
ejpam-975	213	13	x	x	X
ejpam-975	213	14	)	)	PUNCT
ejpam-975	213	15	⊆	⊆	NUM
ejpam-975	213	16	f	f	X
ejpam-975	213	17	(	(	PUNCT
ejpam-975	213	18	x	x	PROPN
ejpam-975	213	19	)	)	PUNCT
ejpam-975	213	20	and	and	CCONJ
ejpam-975	213	21	either	either	PRON
ejpam-975	213	22	of	of	ADP
ejpam-975	213	23	the	the	DET
ejpam-975	213	24	following	follow	VERB
ejpam-975	213	25	conditions	condition	NOUN
ejpam-975	213	26	is	be	AUX
ejpam-975	213	27	satisfied	satisfied	ADJ
ejpam-975	213	28	:	:	PUNCT
ejpam-975	213	29	1	1	X
ejpam-975	213	30	.	.	X
ejpam-975	213	31	x	x	X
ejpam-975	213	32	is	be	AUX
ejpam-975	213	33	(	(	PUNCT
ejpam-975	213	34	t	t	PROPN
ejpam-975	213	35	,	,	PUNCT
ejpam-975	213	36	f	f	PROPN
ejpam-975	213	37	)	)	PUNCT
ejpam-975	213	38	−orbitally	−orbitally	ADV
ejpam-975	213	39	complete	complete	ADJ
ejpam-975	213	40	and	and	CCONJ
ejpam-975	213	41	f	f	PROPN
ejpam-975	213	42	is	be	AUX
ejpam-975	213	43	surjective	surjective	ADJ
ejpam-975	213	44	;	;	PUNCT
ejpam-975	214	1	2	2	X
ejpam-975	214	2	.	.	X
ejpam-975	214	3	f	f	PROPN
ejpam-975	214	4	(	(	PUNCT
ejpam-975	214	5	x	x	X
ejpam-975	214	6	)	)	PUNCT
ejpam-975	214	7	is	be	AUX
ejpam-975	214	8	(	(	PUNCT
ejpam-975	214	9	t	t	PROPN
ejpam-975	214	10	,	,	PUNCT
ejpam-975	214	11	f	f	PROPN
ejpam-975	214	12	)	)	PUNCT
ejpam-975	214	13	−orbitally	−orbitally	ADV
ejpam-975	214	14	complete	complete	ADJ
ejpam-975	214	15	;	;	PUNCT
ejpam-975	214	16	3	3	X
ejpam-975	214	17	.	.	X
ejpam-975	214	18	t	t	NOUN
ejpam-975	214	19	(	(	PUNCT
ejpam-975	214	20	x	x	X
ejpam-975	214	21	)	)	PUNCT
ejpam-975	214	22	is	be	AUX
ejpam-975	214	23	(	(	PUNCT
ejpam-975	214	24	t	t	PROPN
ejpam-975	214	25	,	,	PUNCT
ejpam-975	214	26	f	f	PROPN
ejpam-975	214	27	)	)	PUNCT
ejpam-975	214	28	−orbitally	−orbitally	ADV
ejpam-975	214	29	complete	complete	ADJ
ejpam-975	214	30	.	.	PUNCT
ejpam-975	215	1	suppose	suppose	VERB
ejpam-975	215	2	that	that	SCONJ
ejpam-975	215	3	t	t	PROPN
ejpam-975	215	4	and	and	CCONJ
ejpam-975	215	5	f	f	PROPN
ejpam-975	215	6	satisfy	satisfy	VERB
ejpam-975	215	7	the	the	DET
ejpam-975	215	8	condition	condition	NOUN
ejpam-975	215	9	:	:	PUNCT
ejpam-975	215	10	h(t	h(t	PROPN
ejpam-975	215	11	x	x	SYM
ejpam-975	215	12	,	,	PUNCT
ejpam-975	215	13	t	t	PROPN
ejpam-975	215	14	y	y	NOUN
ejpam-975	215	15	)	)	PUNCT
ejpam-975	215	16	≤	≤	PROPN
ejpam-975	215	17	a(x	a(x	PROPN
ejpam-975	215	18	,	,	PUNCT
ejpam-975	215	19	y)d	y)d	PROPN
ejpam-975	215	20	(	(	PUNCT
ejpam-975	216	1	f	f	NOUN
ejpam-975	216	2	x	x	X
ejpam-975	216	3	,	,	PUNCT
ejpam-975	216	4	f	f	PROPN
ejpam-975	216	5	y	y	PROPN
ejpam-975	216	6	)	)	PUNCT
ejpam-975	216	7	+	+	CCONJ
ejpam-975	217	1	b(x	b(x	PROPN
ejpam-975	217	2	,	,	PUNCT
ejpam-975	217	3	y)max{d	y)max{d	PROPN
ejpam-975	217	4	(	(	PUNCT
ejpam-975	217	5	f	f	NOUN
ejpam-975	217	6	x	x	PROPN
ejpam-975	217	7	,	,	PUNCT
ejpam-975	217	8	t	t	PROPN
ejpam-975	217	9	x	x	PROPN
ejpam-975	217	10	)	)	PUNCT
ejpam-975	217	11	,	,	PUNCT
ejpam-975	217	12	d	d	PROPN
ejpam-975	217	13	(	(	PUNCT
ejpam-975	217	14	f	f	PROPN
ejpam-975	217	15	y	y	PROPN
ejpam-975	217	16	,	,	PUNCT
ejpam-975	217	17	t	t	PROPN
ejpam-975	217	18	y	y	PROPN
ejpam-975	217	19	)	)	PUNCT
ejpam-975	217	20	}	}	PUNCT
ejpam-975	218	1	+	+	CCONJ
ejpam-975	218	2	c(x	c(x	NOUN
ejpam-975	218	3	,	,	PUNCT
ejpam-975	218	4	y)max{d	y)max{d	PROPN
ejpam-975	218	5	(	(	PUNCT
ejpam-975	218	6	f	f	NOUN
ejpam-975	218	7	x	x	PROPN
ejpam-975	218	8	,	,	PUNCT
ejpam-975	218	9	f	f	PROPN
ejpam-975	218	10	y	y	PROPN
ejpam-975	218	11	)	)	PUNCT
ejpam-975	218	12	,	,	PUNCT
ejpam-975	219	1	d	d	X
ejpam-975	219	2	(	(	PUNCT
ejpam-975	219	3	f	f	NOUN
ejpam-975	219	4	x	x	X
ejpam-975	219	5	,	,	PUNCT
ejpam-975	219	6	t	t	PROPN
ejpam-975	219	7	x	x	PROPN
ejpam-975	219	8	)	)	PUNCT
ejpam-975	219	9	,	,	PUNCT
ejpam-975	219	10	d	d	PROPN
ejpam-975	219	11	(	(	PUNCT
ejpam-975	219	12	f	f	PROPN
ejpam-975	219	13	y	y	PROPN
ejpam-975	219	14	,	,	PUNCT
ejpam-975	219	15	t	t	PROPN
ejpam-975	219	16	y	y	PROPN
ejpam-975	219	17	)	)	PUNCT
ejpam-975	219	18	}	}	PUNCT
ejpam-975	220	1	+	+	NUM
ejpam-975	220	2	e(x	e(x	NUM
ejpam-975	220	3	,	,	PUNCT
ejpam-975	220	4	y)max{d	y)max{d	PROPN
ejpam-975	220	5	(	(	PUNCT
ejpam-975	220	6	f	f	NOUN
ejpam-975	220	7	x	x	PROPN
ejpam-975	220	8	,	,	PUNCT
ejpam-975	220	9	f	f	PROPN
ejpam-975	220	10	y	y	PROPN
ejpam-975	220	11	)	)	PUNCT
ejpam-975	220	12	,	,	PUNCT
ejpam-975	221	1	d	d	X
ejpam-975	221	2	(	(	PUNCT
ejpam-975	221	3	f	f	NOUN
ejpam-975	221	4	x	x	X
ejpam-975	221	5	,	,	PUNCT
ejpam-975	221	6	t	t	PROPN
ejpam-975	221	7	x	x	PROPN
ejpam-975	221	8	)	)	PUNCT
ejpam-975	221	9	,	,	PUNCT
ejpam-975	221	10	d	d	PROPN
ejpam-975	221	11	(	(	PUNCT
ejpam-975	221	12	f	f	PROPN
ejpam-975	221	13	y	y	PROPN
ejpam-975	221	14	,	,	PUNCT
ejpam-975	221	15	t	t	PROPN
ejpam-975	221	16	y	y	PROPN
ejpam-975	221	17	)	)	PUNCT
ejpam-975	221	18	,	,	PUNCT
ejpam-975	222	1	d	d	X
ejpam-975	222	2	(	(	PUNCT
ejpam-975	222	3	f	f	NOUN
ejpam-975	222	4	x	x	X
ejpam-975	222	5	,	,	PUNCT
ejpam-975	222	6	t	t	PROPN
ejpam-975	222	7	y	y	PROPN
ejpam-975	222	8	)	)	PUNCT
ejpam-975	222	9	}	}	PUNCT
ejpam-975	222	10	(	(	PUNCT
ejpam-975	222	11	6	6	NUM
ejpam-975	222	12	)	)	PUNCT
ejpam-975	222	13	where	where	SCONJ
ejpam-975	222	14	a	a	DET
ejpam-975	222	15	,	,	PUNCT
ejpam-975	222	16	b	b	NOUN
ejpam-975	222	17	,	,	PUNCT
ejpam-975	222	18	c	c	PROPN
ejpam-975	222	19	and	and	CCONJ
ejpam-975	222	20	e	e	PROPN
ejpam-975	222	21	are	be	AUX
ejpam-975	222	22	nonnegative	nonnegative	ADJ
ejpam-975	222	23	functions	function	NOUN
ejpam-975	222	24	from	from	ADP
ejpam-975	222	25	x×x	x×x	PROPN
ejpam-975	222	26	→	→	SYM
ejpam-975	222	27	[	[	X
ejpam-975	222	28	0,1	0,1	NUM
ejpam-975	222	29	)	)	PUNCT
ejpam-975	222	30	such	such	ADJ
ejpam-975	222	31	that	that	DET
ejpam-975	222	32	infx	infx	NOUN
ejpam-975	222	33	,	,	PUNCT
ejpam-975	222	34	y∈x	y∈x	PROPN
ejpam-975	222	35	e(x	e(x	NUM
ejpam-975	222	36	,	,	PUNCT
ejpam-975	222	37	y	y	PROPN
ejpam-975	222	38	)	)	PUNCT
ejpam-975	222	39	>	>	X
ejpam-975	222	40	0	0	NUM
ejpam-975	222	41	,	,	PUNCT
ejpam-975	222	42	infx	infx	NOUN
ejpam-975	222	43	,	,	PUNCT
ejpam-975	222	44	y∈x	y∈x	NOUN
ejpam-975	222	45	(	(	PUNCT
ejpam-975	222	46	1	1	NUM
ejpam-975	222	47	+	+	CCONJ
ejpam-975	222	48	b(x	b(x	NOUN
ejpam-975	222	49	,	,	PUNCT
ejpam-975	222	50	y)+	y)+	NOUN
ejpam-975	222	51	e(x	e(x	NUM
ejpam-975	222	52	,	,	PUNCT
ejpam-975	222	53	y	y	NOUN
ejpam-975	222	54	)	)	PUNCT
ejpam-975	222	55	)	)	PUNCT
ejpam-975	222	56	>	>	X
ejpam-975	222	57	0	0	PUNCT
ejpam-975	222	58	and	and	CCONJ
ejpam-975	222	59	supx	supx	PROPN
ejpam-975	222	60	,	,	PUNCT
ejpam-975	222	61	y∈x	y∈x	NOUN
ejpam-975	222	62	(	(	PUNCT
ejpam-975	222	63	a+	a+	X
ejpam-975	222	64	b+	b+	X
ejpam-975	222	65	c+2e)(x	c+2e)(x	PROPN
ejpam-975	222	66	,	,	PUNCT
ejpam-975	222	67	y	y	PROPN
ejpam-975	222	68	)	)	PUNCT
ejpam-975	222	69	=	=	SYM
ejpam-975	223	1	1	1	X
ejpam-975	223	2	.	.	PUNCT
ejpam-975	223	3	then	then	ADV
ejpam-975	223	4	f	f	PROPN
ejpam-975	223	5	and	and	CCONJ
ejpam-975	223	6	t	t	PROPN
ejpam-975	223	7	have	have	VERB
ejpam-975	223	8	a	a	DET
ejpam-975	223	9	coincidence	coincidence	NOUN
ejpam-975	223	10	,	,	PUNCT
ejpam-975	223	11	i.e.	i.e.	X
ejpam-975	223	12	there	there	PRON
ejpam-975	223	13	exists	exist	VERB
ejpam-975	223	14	a	a	DET
ejpam-975	223	15	point	point	NOUN
ejpam-975	223	16	z	z	NOUN
ejpam-975	223	17	in	in	ADP
ejpam-975	223	18	x	x	PUNCT
ejpam-975	223	19	such	such	ADJ
ejpam-975	223	20	that	that	SCONJ
ejpam-975	223	21	f	f	PROPN
ejpam-975	223	22	z	z	PROPN
ejpam-975	223	23	∈	∈	PROPN
ejpam-975	223	24	tz	tz	PROPN
ejpam-975	223	25	.	.	PUNCT
ejpam-975	223	26	proof	proof	NOUN
ejpam-975	223	27	.	.	PUNCT
ejpam-975	224	1	choose	choose	VERB
ejpam-975	224	2	x0	x0	PROPN
ejpam-975	224	3	∈	∈	PROPN
ejpam-975	225	1	x	x	X
ejpam-975	225	2	.	.	PUNCT
ejpam-975	226	1	we	we	PRON
ejpam-975	226	2	construct	construct	VERB
ejpam-975	226	3	sequences	sequence	NOUN
ejpam-975	226	4	{	{	PUNCT
ejpam-975	226	5	xn	xn	NUM
ejpam-975	226	6	}	}	PUNCT
ejpam-975	226	7	and	and	CCONJ
ejpam-975	226	8	{	{	PUNCT
ejpam-975	226	9	yn	yn	NOUN
ejpam-975	226	10	}	}	PUNCT
ejpam-975	226	11	as	as	SCONJ
ejpam-975	226	12	follows	follow	VERB
ejpam-975	226	13	:	:	PUNCT
ejpam-975	226	14	since	since	SCONJ
ejpam-975	226	15	t	t	PROPN
ejpam-975	226	16	(	(	PUNCT
ejpam-975	226	17	x	x	X
ejpam-975	226	18	)	)	PUNCT
ejpam-975	226	19	⊆	⊆	NUM
ejpam-975	226	20	f	f	X
ejpam-975	226	21	(	(	PUNCT
ejpam-975	226	22	x	x	PROPN
ejpam-975	226	23	)	)	PUNCT
ejpam-975	226	24	,	,	PUNCT
ejpam-975	226	25	we	we	PRON
ejpam-975	226	26	can	can	AUX
ejpam-975	226	27	choose	choose	VERB
ejpam-975	226	28	y1	y1	NOUN
ejpam-975	226	29	=	=	PUNCT
ejpam-975	226	30	f	f	X
ejpam-975	226	31	x1	x1	PROPN
ejpam-975	226	32	∈	∈	PROPN
ejpam-975	226	33	t	t	PROPN
ejpam-975	226	34	x0	x0	PROPN
ejpam-975	226	35	.	.	PUNCT
ejpam-975	227	1	if	if	SCONJ
ejpam-975	227	2	t	t	NOUN
ejpam-975	227	3	x0	x0	PROPN
ejpam-975	228	1	=	=	PUNCT
ejpam-975	229	1	t	t	PROPN
ejpam-975	229	2	x1	x1	NUM
ejpam-975	229	3	,	,	PUNCT
ejpam-975	229	4	choose	choose	VERB
ejpam-975	229	5	y2	y2	NOUN
ejpam-975	229	6	=	=	SYM
ejpam-975	230	1	f	f	PROPN
ejpam-975	230	2	x2	x2	PROPN
ejpam-975	230	3	∈	∈	PROPN
ejpam-975	230	4	t	t	NOUN
ejpam-975	231	1	x1	x1	NUM
ejpam-975	231	2	such	such	ADJ
ejpam-975	231	3	that	that	DET
ejpam-975	231	4	y1	y1	NOUN
ejpam-975	231	5	=	=	PUNCT
ejpam-975	231	6	y2	y2	PROPN
ejpam-975	231	7	.	.	PUNCT
ejpam-975	232	1	if	if	SCONJ
ejpam-975	232	2	t	t	PROPN
ejpam-975	232	3	x0	x0	PROPN
ejpam-975	232	4	6=	6=	PROPN
ejpam-975	232	5	t	t	PROPN
ejpam-975	232	6	x1	x1	NUM
ejpam-975	232	7	,	,	PUNCT
ejpam-975	232	8	choose	choose	VERB
ejpam-975	232	9	y2	y2	NOUN
ejpam-975	232	10	=	=	SYM
ejpam-975	233	1	f	f	PROPN
ejpam-975	233	2	x2	x2	PROPN
ejpam-975	233	3	∈	∈	PROPN
ejpam-975	233	4	t	t	NOUN
ejpam-975	234	1	x1	x1	NUM
ejpam-975	234	2	such	such	ADJ
ejpam-975	234	3	that	that	DET
ejpam-975	234	4	d(y1	d(y1	NOUN
ejpam-975	234	5	,	,	PUNCT
ejpam-975	234	6	y2)≤	y2)≤	PROPN
ejpam-975	234	7	h(t	h(t	PROPN
ejpam-975	234	8	x0	x0	PROPN
ejpam-975	234	9	,	,	PUNCT
ejpam-975	234	10	t	t	PROPN
ejpam-975	234	11	x1	x1	NUM
ejpam-975	234	12	)	)	PUNCT
ejpam-975	234	13	.	.	PUNCT
ejpam-975	235	1	such	such	DET
ejpam-975	235	2	a	a	DET
ejpam-975	235	3	choice	choice	NOUN
ejpam-975	235	4	is	be	AUX
ejpam-975	235	5	possible	possible	ADJ
ejpam-975	235	6	since	since	SCONJ
ejpam-975	235	7	t	t	PROPN
ejpam-975	235	8	x	x	VERB
ejpam-975	235	9	is	be	AUX
ejpam-975	235	10	compact	compact	ADJ
ejpam-975	235	11	for	for	ADP
ejpam-975	235	12	each	each	PRON
ejpam-975	235	13	x	x	PUNCT
ejpam-975	235	14	in	in	ADP
ejpam-975	235	15	x	x	X
ejpam-975	235	16	.	.	PUNCT
ejpam-975	236	1	in	in	ADP
ejpam-975	236	2	general	general	ADJ
ejpam-975	236	3	,	,	PUNCT
ejpam-975	236	4	choose	choose	VERB
ejpam-975	236	5	yn+2	yn+2	NOUN
ejpam-975	236	6	=	=	SYM
ejpam-975	237	1	f	f	PROPN
ejpam-975	237	2	xn+2	xn+2	NUM
ejpam-975	237	3	∈	∈	PROPN
ejpam-975	237	4	t	t	PROPN
ejpam-975	237	5	xn+1	xn+1	PROPN
ejpam-975	237	6	such	such	ADJ
ejpam-975	237	7	that	that	SCONJ
ejpam-975	237	8	yn+1	yn+1	PROPN
ejpam-975	237	9	=	=	PUNCT
ejpam-975	237	10	yn+2	yn+2	NUM
ejpam-975	237	11	if	if	SCONJ
ejpam-975	237	12	t	t	PROPN
ejpam-975	237	13	xn	xn	PROPN
ejpam-975	238	1	=	=	SYM
ejpam-975	238	2	t	t	PROPN
ejpam-975	238	3	xn+1	xn+1	PROPN
ejpam-975	238	4	and	and	CCONJ
ejpam-975	238	5	d(yn+1	d(yn+1	PROPN
ejpam-975	238	6	,	,	PUNCT
ejpam-975	238	7	yn+2)≤	yn+2)≤	PROPN
ejpam-975	238	8	h(t	h(t	PROPN
ejpam-975	238	9	xn	xn	PROPN
ejpam-975	238	10	,	,	PUNCT
ejpam-975	238	11	t	t	PROPN
ejpam-975	238	12	xn+1	xn+1	NUM
ejpam-975	238	13	)	)	PUNCT
ejpam-975	238	14	otherwise	otherwise	ADV
ejpam-975	238	15	.	.	PUNCT
ejpam-975	239	1	from	from	ADP
ejpam-975	239	2	(	(	PUNCT
ejpam-975	239	3	6	6	NUM
ejpam-975	239	4	)	)	PUNCT
ejpam-975	239	5	with	with	ADP
ejpam-975	239	6	a	a	DET
ejpam-975	239	7	,	,	PUNCT
ejpam-975	239	8	b	b	NOUN
ejpam-975	239	9	,	,	PUNCT
ejpam-975	239	10	c	c	NOUN
ejpam-975	239	11	and	and	CCONJ
ejpam-975	239	12	e	e	PROPN
ejpam-975	239	13	evaluated	evaluate	VERB
ejpam-975	239	14	at	at	ADP
ejpam-975	239	15	(	(	PUNCT
ejpam-975	239	16	xn	xn	PROPN
ejpam-975	239	17	,	,	PUNCT
ejpam-975	239	18	xn+1	xn+1	NUM
ejpam-975	239	19	)	)	PUNCT
ejpam-975	239	20	,	,	PUNCT
ejpam-975	239	21	d(yn+1	d(yn+1	PROPN
ejpam-975	239	22	,	,	PUNCT
ejpam-975	239	23	yn+2)≤	yn+2)≤	PROPN
ejpam-975	239	24	h(t	h(t	PROPN
ejpam-975	239	25	xn	xn	PROPN
ejpam-975	239	26	,	,	PUNCT
ejpam-975	239	27	t	t	PROPN
ejpam-975	239	28	xn+1	xn+1	NUM
ejpam-975	239	29	)	)	PUNCT
ejpam-975	239	30	≤	≤	NUM
ejpam-975	239	31	ad	ad	NOUN
ejpam-975	239	32	(	(	PUNCT
ejpam-975	239	33	f	f	PROPN
ejpam-975	239	34	xn	xn	PROPN
ejpam-975	239	35	,	,	PUNCT
ejpam-975	239	36	f	f	PROPN
ejpam-975	239	37	xn+1	xn+1	X
ejpam-975	239	38	)	)	PUNCT
ejpam-975	240	1	+	+	CCONJ
ejpam-975	240	2	b	b	X
ejpam-975	240	3	max{d	max{d	PROPN
ejpam-975	240	4	(	(	PUNCT
ejpam-975	240	5	f	f	PROPN
ejpam-975	240	6	xn	xn	PROPN
ejpam-975	240	7	,	,	PUNCT
ejpam-975	240	8	t	t	PROPN
ejpam-975	240	9	xn	xn	PROPN
ejpam-975	240	10	)	)	PUNCT
ejpam-975	240	11	,	,	PUNCT
ejpam-975	241	1	d	d	X
ejpam-975	241	2	(	(	PUNCT
ejpam-975	241	3	f	f	PROPN
ejpam-975	241	4	xn+1	xn+1	PROPN
ejpam-975	241	5	,	,	PUNCT
ejpam-975	241	6	t	t	PROPN
ejpam-975	241	7	xn+1	xn+1	NUM
ejpam-975	241	8	)	)	PUNCT
ejpam-975	241	9	}	}	PUNCT
ejpam-975	242	1	+	+	CCONJ
ejpam-975	242	2	c	c	NOUN
ejpam-975	242	3	max{d	max{d	PROPN
ejpam-975	242	4	(	(	PUNCT
ejpam-975	242	5	f	f	PROPN
ejpam-975	242	6	xn	xn	PROPN
ejpam-975	242	7	,	,	PUNCT
ejpam-975	242	8	f	f	PROPN
ejpam-975	242	9	xn+1	xn+1	NUM
ejpam-975	242	10	)	)	PUNCT
ejpam-975	242	11	,	,	PUNCT
ejpam-975	243	1	d	d	X
ejpam-975	243	2	(	(	PUNCT
ejpam-975	243	3	f	f	PROPN
ejpam-975	243	4	xn	xn	PROPN
ejpam-975	243	5	,	,	PUNCT
ejpam-975	243	6	t	t	PROPN
ejpam-975	243	7	xn	xn	PROPN
ejpam-975	243	8	)	)	PUNCT
ejpam-975	243	9	,	,	PUNCT
ejpam-975	244	1	d	d	X
ejpam-975	244	2	(	(	PUNCT
ejpam-975	244	3	f	f	PROPN
ejpam-975	244	4	xn+1	xn+1	PROPN
ejpam-975	244	5	,	,	PUNCT
ejpam-975	244	6	t	t	PROPN
ejpam-975	244	7	xn+1	xn+1	NUM
ejpam-975	244	8	)	)	PUNCT
ejpam-975	244	9	}	}	PUNCT
ejpam-975	245	1	+	+	CCONJ
ejpam-975	245	2	e	e	X
ejpam-975	245	3	max{d	max{d	PROPN
ejpam-975	245	4	(	(	PUNCT
ejpam-975	245	5	f	f	PROPN
ejpam-975	245	6	xn	xn	PROPN
ejpam-975	245	7	,	,	PUNCT
ejpam-975	245	8	f	f	PROPN
ejpam-975	245	9	xn+1	xn+1	NUM
ejpam-975	245	10	)	)	PUNCT
ejpam-975	245	11	,	,	PUNCT
ejpam-975	246	1	d	d	X
ejpam-975	246	2	(	(	PUNCT
ejpam-975	246	3	f	f	PROPN
ejpam-975	246	4	xn	xn	PROPN
ejpam-975	246	5	,	,	PUNCT
ejpam-975	246	6	t	t	PROPN
ejpam-975	246	7	xn	xn	PROPN
ejpam-975	246	8	)	)	PUNCT
ejpam-975	246	9	,	,	PUNCT
ejpam-975	247	1	d	d	X
ejpam-975	247	2	(	(	PUNCT
ejpam-975	247	3	f	f	PROPN
ejpam-975	247	4	xn+1	xn+1	PROPN
ejpam-975	247	5	,	,	PUNCT
ejpam-975	247	6	t	t	PROPN
ejpam-975	247	7	xn+1	xn+1	NUM
ejpam-975	247	8	)	)	PUNCT
ejpam-975	247	9	,	,	PUNCT
ejpam-975	247	10	d	d	X
ejpam-975	247	11	(	(	PUNCT
ejpam-975	247	12	f	f	PROPN
ejpam-975	247	13	xn	xn	PROPN
ejpam-975	247	14	,	,	PUNCT
ejpam-975	247	15	t	t	PROPN
ejpam-975	247	16	xn+1	xn+1	NUM
ejpam-975	247	17	)	)	PUNCT
ejpam-975	247	18	}	}	PUNCT
ejpam-975	247	19	≤	≤	NUM
ejpam-975	247	20	ad(yn	ad(yn	NOUN
ejpam-975	247	21	,	,	PUNCT
ejpam-975	247	22	yn+1)+	yn+1)+	PROPN
ejpam-975	247	23	b	b	PROPN
ejpam-975	247	24	max{d(yn	max{d(yn	NOUN
ejpam-975	247	25	,	,	PUNCT
ejpam-975	247	26	yn+1	yn+1	NUM
ejpam-975	247	27	)	)	PUNCT
ejpam-975	247	28	,	,	PUNCT
ejpam-975	247	29	d(yn+1	d(yn+1	PROPN
ejpam-975	247	30	,	,	PUNCT
ejpam-975	247	31	yn+2	yn+2	NUM
ejpam-975	247	32	)	)	PUNCT
ejpam-975	247	33	}	}	PUNCT
ejpam-975	248	1	+	+	CCONJ
ejpam-975	248	2	c	c	NOUN
ejpam-975	248	3	max{d(yn	max{d(yn	NOUN
ejpam-975	248	4	,	,	PUNCT
ejpam-975	248	5	yn+1	yn+1	NUM
ejpam-975	248	6	)	)	PUNCT
ejpam-975	248	7	,	,	PUNCT
ejpam-975	248	8	d(yn	d(yn	PROPN
ejpam-975	248	9	,	,	PUNCT
ejpam-975	248	10	yn+1	yn+1	NUM
ejpam-975	248	11	)	)	PUNCT
ejpam-975	248	12	,	,	PUNCT
ejpam-975	248	13	d(yn+1	d(yn+1	PROPN
ejpam-975	248	14	,	,	PUNCT
ejpam-975	248	15	yn+2	yn+2	NUM
ejpam-975	248	16	)	)	PUNCT
ejpam-975	248	17	}	}	PUNCT
ejpam-975	248	18	+	+	CCONJ
ejpam-975	248	19	e	e	NOUN
ejpam-975	248	20	max{d(yn	max{d(yn	NOUN
ejpam-975	248	21	,	,	PUNCT
ejpam-975	248	22	yn+1	yn+1	NUM
ejpam-975	248	23	)	)	PUNCT
ejpam-975	248	24	,	,	PUNCT
ejpam-975	248	25	d(yn	d(yn	PROPN
ejpam-975	248	26	,	,	PUNCT
ejpam-975	248	27	yn+1	yn+1	NUM
ejpam-975	248	28	)	)	PUNCT
ejpam-975	248	29	,	,	PUNCT
ejpam-975	248	30	d(yn+1	d(yn+1	PROPN
ejpam-975	248	31	,	,	PUNCT
ejpam-975	248	32	yn+2	yn+2	NUM
ejpam-975	248	33	)	)	PUNCT
ejpam-975	248	34	,	,	PUNCT
ejpam-975	248	35	d(yn	d(yn	PROPN
ejpam-975	248	36	,	,	PUNCT
ejpam-975	248	37	yn+2	yn+2	NUM
ejpam-975	248	38	)	)	PUNCT
ejpam-975	248	39	}	}	PUNCT
ejpam-975	248	40	if	if	SCONJ
ejpam-975	248	41	for	for	ADP
ejpam-975	248	42	some	some	DET
ejpam-975	248	43	n	n	CCONJ
ejpam-975	248	44	,	,	PUNCT
ejpam-975	248	45	d(yn+1	d(yn+1	PROPN
ejpam-975	248	46	,	,	PUNCT
ejpam-975	248	47	yn+2	yn+2	NUM
ejpam-975	248	48	)	)	PUNCT
ejpam-975	248	49	>	>	X
ejpam-975	248	50	d(yn	d(yn	PROPN
ejpam-975	248	51	,	,	PUNCT
ejpam-975	248	52	yn+1	yn+1	NUM
ejpam-975	248	53	)	)	PUNCT
ejpam-975	248	54	,	,	PUNCT
ejpam-975	248	55	the	the	DET
ejpam-975	248	56	above	above	ADJ
ejpam-975	248	57	inequality	inequality	NOUN
ejpam-975	248	58	gives	give	VERB
ejpam-975	248	59	d(yn+1	d(yn+1	PROPN
ejpam-975	248	60	,	,	PUNCT
ejpam-975	248	61	yn+2	yn+2	NUM
ejpam-975	248	62	)	)	PUNCT
ejpam-975	248	63	<	<	X
ejpam-975	248	64	(	(	PUNCT
ejpam-975	248	65	a+	a+	X
ejpam-975	248	66	b+	b+	X
ejpam-975	248	67	c	c	NOUN
ejpam-975	248	68	+	+	SYM
ejpam-975	248	69	2e)d(yn+1	2e)d(yn+1	NUM
ejpam-975	248	70	,	,	PUNCT
ejpam-975	248	71	yn+2	yn+2	NUM
ejpam-975	248	72	)	)	PUNCT
ejpam-975	248	73	p.	p.	NOUN
ejpam-975	248	74	jhade	jhade	PROPN
ejpam-975	248	75	,	,	PUNCT
ejpam-975	248	76	a.	a.	NOUN
ejpam-975	248	77	saluja	saluja	PROPN
ejpam-975	248	78	,	,	PUNCT
ejpam-975	248	79	r.	r.	PROPN
ejpam-975	248	80	kushwah	kushwah	PROPN
ejpam-975	248	81	/	/	SYM
ejpam-975	248	82	eur	eur	PROPN
ejpam-975	248	83	.	.	PUNCT
ejpam-975	249	1	j.	j.	PROPN
ejpam-975	249	2	pure	pure	PROPN
ejpam-975	249	3	appl	appl	PROPN
ejpam-975	249	4	.	.	PROPN
ejpam-975	249	5	math	math	PROPN
ejpam-975	249	6	,	,	PUNCT
ejpam-975	249	7	4	4	NUM
ejpam-975	249	8	(	(	PUNCT
ejpam-975	249	9	2011	2011	NUM
ejpam-975	249	10	)	)	PUNCT
ejpam-975	249	11	,	,	PUNCT
ejpam-975	249	12	330	330	NUM
ejpam-975	249	13	-	-	SYM
ejpam-975	249	14	339	339	NUM
ejpam-975	249	15	336	336	NUM
ejpam-975	249	16	a	a	DET
ejpam-975	249	17	contradiction	contradiction	NOUN
ejpam-975	249	18	.	.	PUNCT
ejpam-975	250	1	therefore	therefore	ADV
ejpam-975	250	2	,	,	PUNCT
ejpam-975	250	3	for	for	ADP
ejpam-975	250	4	each	each	DET
ejpam-975	250	5	n	n	CCONJ
ejpam-975	250	6	,	,	PUNCT
ejpam-975	250	7	we	we	PRON
ejpam-975	250	8	have	have	AUX
ejpam-975	250	9	d(yn+1	d(yn+1	VERB
ejpam-975	250	10	,	,	PUNCT
ejpam-975	250	11	yn+2)≤	yn+2)≤	PROPN
ejpam-975	250	12	d(yn	d(yn	NOUN
ejpam-975	250	13	,	,	PUNCT
ejpam-975	250	14	yn+1	yn+1	NUM
ejpam-975	250	15	)	)	PUNCT
ejpam-975	250	16	(	(	PUNCT
ejpam-975	250	17	7	7	X
ejpam-975	250	18	)	)	PUNCT
ejpam-975	250	19	again	again	ADV
ejpam-975	250	20	from	from	ADP
ejpam-975	250	21	(	(	PUNCT
ejpam-975	250	22	6	6	NUM
ejpam-975	250	23	)	)	PUNCT
ejpam-975	250	24	with	with	ADP
ejpam-975	250	25	a	a	DET
ejpam-975	250	26	,	,	PUNCT
ejpam-975	250	27	b	b	NOUN
ejpam-975	250	28	,	,	PUNCT
ejpam-975	250	29	c	c	NOUN
ejpam-975	250	30	and	and	CCONJ
ejpam-975	250	31	e	e	PROPN
ejpam-975	250	32	evaluated	evaluate	VERB
ejpam-975	250	33	at	at	ADP
ejpam-975	250	34	(	(	PUNCT
ejpam-975	250	35	xn−2	xn−2	PROPN
ejpam-975	250	36	,	,	PUNCT
ejpam-975	250	37	xn	xn	PROPN
ejpam-975	250	38	)	)	PUNCT
ejpam-975	250	39	d(yn−1	d(yn−1	PROPN
ejpam-975	250	40	,	,	PUNCT
ejpam-975	250	41	t	t	PROPN
ejpam-975	250	42	xn)≤	xn)≤	PROPN
ejpam-975	250	43	h(t	h(t	PROPN
ejpam-975	250	44	xn−2	xn−2	PROPN
ejpam-975	250	45	,	,	PUNCT
ejpam-975	250	46	t	t	PROPN
ejpam-975	250	47	xn	xn	PROPN
ejpam-975	250	48	)	)	PUNCT
ejpam-975	250	49	≤	≤	NUM
ejpam-975	250	50	ad	ad	NOUN
ejpam-975	250	51	(	(	PUNCT
ejpam-975	250	52	f	f	PROPN
ejpam-975	250	53	xn−2	xn−2	PROPN
ejpam-975	250	54	,	,	PUNCT
ejpam-975	250	55	f	f	PROPN
ejpam-975	250	56	xn	xn	PROPN
ejpam-975	250	57	)	)	PUNCT
ejpam-975	251	1	+	+	CCONJ
ejpam-975	251	2	b	b	X
ejpam-975	251	3	max{d	max{d	NOUN
ejpam-975	251	4	(	(	PUNCT
ejpam-975	251	5	f	f	PROPN
ejpam-975	251	6	xn−2	xn−2	PROPN
ejpam-975	251	7	,	,	PUNCT
ejpam-975	251	8	t	t	PROPN
ejpam-975	251	9	xn−2	xn−2	PROPN
ejpam-975	251	10	)	)	PUNCT
ejpam-975	251	11	,	,	PUNCT
ejpam-975	252	1	d	d	X
ejpam-975	252	2	(	(	PUNCT
ejpam-975	252	3	f	f	PROPN
ejpam-975	252	4	xn	xn	PROPN
ejpam-975	252	5	,	,	PUNCT
ejpam-975	252	6	t	t	PROPN
ejpam-975	252	7	xn	xn	PROPN
ejpam-975	252	8	)	)	PUNCT
ejpam-975	252	9	}	}	PUNCT
ejpam-975	253	1	+	+	CCONJ
ejpam-975	253	2	c	c	NOUN
ejpam-975	253	3	max{d	max{d	PROPN
ejpam-975	253	4	(	(	PUNCT
ejpam-975	253	5	f	f	PROPN
ejpam-975	253	6	xn−2	xn−2	PROPN
ejpam-975	253	7	,	,	PUNCT
ejpam-975	253	8	f	f	PROPN
ejpam-975	253	9	xn	xn	PROPN
ejpam-975	253	10	)	)	PUNCT
ejpam-975	253	11	,	,	PUNCT
ejpam-975	254	1	d	d	PROPN
ejpam-975	254	2	(	(	PUNCT
ejpam-975	254	3	f	f	PROPN
ejpam-975	254	4	xn−2	xn−2	PROPN
ejpam-975	254	5	,	,	PUNCT
ejpam-975	254	6	t	t	PROPN
ejpam-975	254	7	xn−2	xn−2	PROPN
ejpam-975	254	8	)	)	PUNCT
ejpam-975	254	9	,	,	PUNCT
ejpam-975	255	1	d	d	X
ejpam-975	255	2	(	(	PUNCT
ejpam-975	255	3	f	f	PROPN
ejpam-975	255	4	xn	xn	PROPN
ejpam-975	255	5	,	,	PUNCT
ejpam-975	255	6	t	t	PROPN
ejpam-975	255	7	xn	xn	PROPN
ejpam-975	255	8	)	)	PUNCT
ejpam-975	255	9	}	}	PUNCT
ejpam-975	256	1	+	+	CCONJ
ejpam-975	256	2	e	e	X
ejpam-975	256	3	max{d	max{d	PROPN
ejpam-975	256	4	(	(	PUNCT
ejpam-975	256	5	f	f	PROPN
ejpam-975	256	6	xn−2	xn−2	PROPN
ejpam-975	256	7	,	,	PUNCT
ejpam-975	256	8	f	f	PROPN
ejpam-975	256	9	xn	xn	PROPN
ejpam-975	256	10	)	)	PUNCT
ejpam-975	256	11	,	,	PUNCT
ejpam-975	257	1	d	d	PROPN
ejpam-975	257	2	(	(	PUNCT
ejpam-975	257	3	f	f	PROPN
ejpam-975	257	4	xn−2	xn−2	PROPN
ejpam-975	257	5	,	,	PUNCT
ejpam-975	257	6	t	t	PROPN
ejpam-975	257	7	xn−2	xn−2	PROPN
ejpam-975	257	8	)	)	PUNCT
ejpam-975	257	9	,	,	PUNCT
ejpam-975	258	1	d	d	X
ejpam-975	258	2	(	(	PUNCT
ejpam-975	258	3	f	f	PROPN
ejpam-975	258	4	xn	xn	PROPN
ejpam-975	258	5	,	,	PUNCT
ejpam-975	258	6	t	t	PROPN
ejpam-975	258	7	xn	xn	PROPN
ejpam-975	258	8	)	)	PUNCT
ejpam-975	258	9	,	,	PUNCT
ejpam-975	259	1	d	d	PROPN
ejpam-975	259	2	(	(	PUNCT
ejpam-975	259	3	f	f	PROPN
ejpam-975	259	4	xn−2	xn−2	PROPN
ejpam-975	259	5	,	,	PUNCT
ejpam-975	259	6	t	t	PROPN
ejpam-975	259	7	xn	xn	PROPN
ejpam-975	259	8	)	)	PUNCT
ejpam-975	259	9	}	}	PUNCT
ejpam-975	259	10	using	use	VERB
ejpam-975	259	11	(	(	PUNCT
ejpam-975	259	12	7	7	NUM
ejpam-975	259	13	)	)	PUNCT
ejpam-975	259	14	and	and	CCONJ
ejpam-975	259	15	triangle	triangle	NOUN
ejpam-975	259	16	inequality	inequality	NOUN
ejpam-975	259	17	we	we	PRON
ejpam-975	259	18	get	get	VERB
ejpam-975	259	19	d(yn−1	d(yn−1	PROPN
ejpam-975	259	20	,	,	PUNCT
ejpam-975	259	21	t	t	PROPN
ejpam-975	259	22	xn)≤	xn)≤	PROPN
ejpam-975	260	1	2ad(yn−2	2ad(yn−2	PROPN
ejpam-975	260	2	,	,	PUNCT
ejpam-975	260	3	yn−1	yn−1	NOUN
ejpam-975	260	4	)	)	PUNCT
ejpam-975	260	5	+	+	X
ejpam-975	260	6	bd(yn−2	bd(yn−2	PROPN
ejpam-975	260	7	,	,	PUNCT
ejpam-975	260	8	yn−1	yn−1	NOUN
ejpam-975	260	9	)	)	PUNCT
ejpam-975	260	10	+	+	CCONJ
ejpam-975	260	11	2cd(yn−2	2cd(yn−2	PROPN
ejpam-975	260	12	,	,	PUNCT
ejpam-975	260	13	yn−1	yn−1	NOUN
ejpam-975	260	14	)	)	PUNCT
ejpam-975	260	15	+	+	CCONJ
ejpam-975	260	16	e	e	X
ejpam-975	260	17	max{2d(yn−2	max{2d(yn−2	PROPN
ejpam-975	260	18	,	,	PUNCT
ejpam-975	260	19	yn−1	yn−1	NOUN
ejpam-975	260	20	)	)	PUNCT
ejpam-975	260	21	,	,	PUNCT
ejpam-975	260	22	d(yn−2	d(yn−2	PROPN
ejpam-975	260	23	,	,	PUNCT
ejpam-975	260	24	yn−1	yn−1	NOUN
ejpam-975	260	25	)	)	PUNCT
ejpam-975	260	26	+	+	PUNCT
ejpam-975	261	1	d	d	X
ejpam-975	261	2	(	(	PUNCT
ejpam-975	261	3	f	f	PROPN
ejpam-975	261	4	xn−1	xn−1	PROPN
ejpam-975	261	5	,	,	PUNCT
ejpam-975	261	6	t	t	PROPN
ejpam-975	261	7	xn−1	xn−1	PROPN
ejpam-975	261	8	)	)	PUNCT
ejpam-975	261	9	+	+	CCONJ
ejpam-975	262	1	d	d	X
ejpam-975	262	2	(	(	PUNCT
ejpam-975	262	3	f	f	PROPN
ejpam-975	262	4	xn	xn	PROPN
ejpam-975	262	5	,	,	PUNCT
ejpam-975	262	6	t	t	PROPN
ejpam-975	262	7	xn	xn	PROPN
ejpam-975	262	8	)	)	PUNCT
ejpam-975	262	9	}	}	PUNCT
ejpam-975	262	10	+	+	CCONJ
ejpam-975	262	11	(	(	PUNCT
ejpam-975	262	12	2a+	2a+	NUM
ejpam-975	262	13	b+	b+	ADP
ejpam-975	262	14	2c)d(yn−2	2c)d(yn−2	PROPN
ejpam-975	262	15	,	,	PUNCT
ejpam-975	262	16	yn−1	yn−1	NOUN
ejpam-975	262	17	)	)	PUNCT
ejpam-975	262	18	+	+	CCONJ
ejpam-975	262	19	e	e	X
ejpam-975	262	20	max{2d(yn−2	max{2d(yn−2	PROPN
ejpam-975	262	21	,	,	PUNCT
ejpam-975	262	22	yn−1	yn−1	NOUN
ejpam-975	262	23	)	)	PUNCT
ejpam-975	262	24	,	,	PUNCT
ejpam-975	262	25	3d(yn−2	3d(yn−2	PROPN
ejpam-975	262	26	,	,	PUNCT
ejpam-975	262	27	yn−1	yn−1	NOUN
ejpam-975	262	28	)	)	PUNCT
ejpam-975	262	29	}	}	PUNCT
ejpam-975	262	30	+	+	CCONJ
ejpam-975	262	31	(	(	PUNCT
ejpam-975	262	32	2a+	2a+	NUM
ejpam-975	262	33	b+	b+	ADP
ejpam-975	262	34	2c+	2c+	NUM
ejpam-975	262	35	2e)d(yn−2	2e)d(yn−2	NUM
ejpam-975	262	36	,	,	PUNCT
ejpam-975	262	37	yn−1	yn−1	NOUN
ejpam-975	262	38	)	)	PUNCT
ejpam-975	262	39	implies	imply	VERB
ejpam-975	262	40	that	that	SCONJ
ejpam-975	262	41	d(yn−1	d(yn−1	PROPN
ejpam-975	262	42	,	,	PUNCT
ejpam-975	262	43	t	t	PROPN
ejpam-975	262	44	xn)≤	xn)≤	PROPN
ejpam-975	263	1	(	(	PUNCT
ejpam-975	263	2	1−	1−	NUM
ejpam-975	263	3	b−	b−	PROPN
ejpam-975	263	4	e)d(yn−1	e)d(yn−1	PROPN
ejpam-975	263	5	,	,	PUNCT
ejpam-975	263	6	yn−2	yn−2	PROPN
ejpam-975	263	7	)	)	PUNCT
ejpam-975	263	8	(	(	PUNCT
ejpam-975	263	9	8)	8)	NUM
ejpam-975	263	10	again	again	ADV
ejpam-975	263	11	from	from	ADP
ejpam-975	263	12	(	(	PUNCT
ejpam-975	263	13	6	6	NUM
ejpam-975	263	14	)	)	PUNCT
ejpam-975	263	15	,	,	PUNCT
ejpam-975	263	16	(	(	PUNCT
ejpam-975	263	17	7	7	X
ejpam-975	263	18	)	)	PUNCT
ejpam-975	263	19	and	and	CCONJ
ejpam-975	263	20	using	use	VERB
ejpam-975	263	21	(	(	PUNCT
ejpam-975	263	22	8)	8)	NUM
ejpam-975	263	23	d(yn	d(yn	NOUN
ejpam-975	263	24	,	,	PUNCT
ejpam-975	263	25	yn+1	yn+1	X
ejpam-975	263	26	)	)	PUNCT
ejpam-975	263	27	=	=	SYM
ejpam-975	264	1	d	d	X
ejpam-975	264	2	(	(	PUNCT
ejpam-975	264	3	f	f	PROPN
ejpam-975	264	4	xn	xn	PROPN
ejpam-975	264	5	,	,	PUNCT
ejpam-975	264	6	f	f	PROPN
ejpam-975	264	7	xn+1	xn+1	X
ejpam-975	264	8	)	)	PUNCT
ejpam-975	264	9	≤	≤	PUNCT
ejpam-975	264	10	h(t	h(t	PROPN
ejpam-975	264	11	xn−1	xn−1	PROPN
ejpam-975	264	12	,	,	PUNCT
ejpam-975	264	13	t	t	PROPN
ejpam-975	264	14	xn	xn	PROPN
ejpam-975	264	15	)	)	PUNCT
ejpam-975	264	16	≤	≤	NUM
ejpam-975	264	17	ad	ad	NOUN
ejpam-975	264	18	(	(	PUNCT
ejpam-975	264	19	f	f	PROPN
ejpam-975	264	20	xn−1	xn−1	PROPN
ejpam-975	264	21	,	,	PUNCT
ejpam-975	264	22	f	f	PROPN
ejpam-975	264	23	xn	xn	PROPN
ejpam-975	264	24	)	)	PUNCT
ejpam-975	265	1	+	+	CCONJ
ejpam-975	265	2	b	b	X
ejpam-975	265	3	max{d	max{d	NOUN
ejpam-975	265	4	(	(	PUNCT
ejpam-975	265	5	f	f	PROPN
ejpam-975	265	6	xn−1	xn−1	PROPN
ejpam-975	265	7	,	,	PUNCT
ejpam-975	265	8	t	t	PROPN
ejpam-975	265	9	xn−1	xn−1	PROPN
ejpam-975	265	10	)	)	PUNCT
ejpam-975	265	11	,	,	PUNCT
ejpam-975	266	1	d	d	X
ejpam-975	266	2	(	(	PUNCT
ejpam-975	266	3	f	f	PROPN
ejpam-975	266	4	xn	xn	PROPN
ejpam-975	266	5	,	,	PUNCT
ejpam-975	266	6	t	t	PROPN
ejpam-975	266	7	xn	xn	PROPN
ejpam-975	266	8	)	)	PUNCT
ejpam-975	266	9	}	}	PUNCT
ejpam-975	267	1	+	+	CCONJ
ejpam-975	267	2	c	c	NOUN
ejpam-975	267	3	max{d	max{d	PROPN
ejpam-975	267	4	(	(	PUNCT
ejpam-975	267	5	f	f	PROPN
ejpam-975	267	6	xn−1	xn−1	PROPN
ejpam-975	267	7	,	,	PUNCT
ejpam-975	267	8	f	f	PROPN
ejpam-975	267	9	xn	xn	PROPN
ejpam-975	267	10	)	)	PUNCT
ejpam-975	267	11	,	,	PUNCT
ejpam-975	268	1	d	d	X
ejpam-975	268	2	(	(	PUNCT
ejpam-975	268	3	f	f	PROPN
ejpam-975	268	4	xn−1	xn−1	PROPN
ejpam-975	268	5	,	,	PUNCT
ejpam-975	268	6	t	t	PROPN
ejpam-975	268	7	xn−1	xn−1	PROPN
ejpam-975	268	8	)	)	PUNCT
ejpam-975	268	9	,	,	PUNCT
ejpam-975	269	1	d	d	X
ejpam-975	269	2	(	(	PUNCT
ejpam-975	269	3	f	f	PROPN
ejpam-975	269	4	xn	xn	PROPN
ejpam-975	269	5	,	,	PUNCT
ejpam-975	269	6	t	t	PROPN
ejpam-975	269	7	xn	xn	PROPN
ejpam-975	269	8	)	)	PUNCT
ejpam-975	269	9	}	}	PUNCT
ejpam-975	270	1	+	+	CCONJ
ejpam-975	270	2	e	e	X
ejpam-975	270	3	max{d	max{d	PROPN
ejpam-975	270	4	(	(	PUNCT
ejpam-975	270	5	f	f	PROPN
ejpam-975	270	6	xn−1	xn−1	PROPN
ejpam-975	270	7	,	,	PUNCT
ejpam-975	270	8	f	f	PROPN
ejpam-975	270	9	xn	xn	PROPN
ejpam-975	270	10	)	)	PUNCT
ejpam-975	270	11	,	,	PUNCT
ejpam-975	271	1	d	d	X
ejpam-975	271	2	(	(	PUNCT
ejpam-975	271	3	f	f	PROPN
ejpam-975	271	4	xn−1	xn−1	PROPN
ejpam-975	271	5	,	,	PUNCT
ejpam-975	271	6	t	t	PROPN
ejpam-975	271	7	xn−1	xn−1	PROPN
ejpam-975	271	8	)	)	PUNCT
ejpam-975	271	9	,	,	PUNCT
ejpam-975	272	1	d	d	X
ejpam-975	272	2	(	(	PUNCT
ejpam-975	272	3	f	f	PROPN
ejpam-975	272	4	xn	xn	PROPN
ejpam-975	272	5	,	,	PUNCT
ejpam-975	272	6	t	t	PROPN
ejpam-975	272	7	xn	xn	PROPN
ejpam-975	272	8	)	)	PUNCT
ejpam-975	272	9	,	,	PUNCT
ejpam-975	273	1	d	d	X
ejpam-975	273	2	(	(	PUNCT
ejpam-975	273	3	f	f	PROPN
ejpam-975	273	4	xn−1	xn−1	PROPN
ejpam-975	273	5	,	,	PUNCT
ejpam-975	273	6	t	t	PROPN
ejpam-975	273	7	xn	xn	PROPN
ejpam-975	273	8	)	)	PUNCT
ejpam-975	273	9	}	}	PUNCT
ejpam-975	273	10	≤	≤	NUM
ejpam-975	273	11	ad	ad	NOUN
ejpam-975	273	12	(	(	PUNCT
ejpam-975	273	13	f	f	PROPN
ejpam-975	273	14	xn−2	xn−2	PROPN
ejpam-975	273	15	,	,	PUNCT
ejpam-975	273	16	t	t	PROPN
ejpam-975	273	17	xn−2	xn−2	PROPN
ejpam-975	273	18	)	)	PUNCT
ejpam-975	274	1	+	+	CCONJ
ejpam-975	274	2	bd	bd	PROPN
ejpam-975	274	3	(	(	PUNCT
ejpam-975	274	4	f	f	PROPN
ejpam-975	274	5	xn−2	xn−2	PROPN
ejpam-975	274	6	,	,	PUNCT
ejpam-975	274	7	t	t	PROPN
ejpam-975	274	8	xn−2	xn−2	PROPN
ejpam-975	274	9	)	)	PUNCT
ejpam-975	275	1	+	+	CCONJ
ejpam-975	275	2	cd	cd	PROPN
ejpam-975	275	3	(	(	PUNCT
ejpam-975	275	4	f	f	PROPN
ejpam-975	275	5	xn−2	xn−2	PROPN
ejpam-975	275	6	,	,	PUNCT
ejpam-975	275	7	t	t	PROPN
ejpam-975	275	8	xn−2	xn−2	PROPN
ejpam-975	275	9	)	)	PUNCT
ejpam-975	276	1	+	+	CCONJ
ejpam-975	276	2	e(1−	e(1−	ADJ
ejpam-975	276	3	b−	b−	NOUN
ejpam-975	276	4	e)d	e)d	X
ejpam-975	276	5	(	(	PUNCT
ejpam-975	276	6	f	f	PROPN
ejpam-975	276	7	xn−2	xn−2	PROPN
ejpam-975	276	8	,	,	PUNCT
ejpam-975	276	9	t	t	PROPN
ejpam-975	276	10	xn−2	xn−2	PROPN
ejpam-975	276	11	)	)	PUNCT
ejpam-975	276	12	≤	≤	NOUN
ejpam-975	277	1	[	[	X
ejpam-975	277	2	1−	1−	NUM
ejpam-975	277	3	e(1	e(1	NOUN
ejpam-975	277	4	+	+	NUM
ejpam-975	277	5	b+	b+	X
ejpam-975	277	6	e)]d	e)]d	PROPN
ejpam-975	277	7	(	(	PUNCT
ejpam-975	277	8	f	f	PROPN
ejpam-975	277	9	xn−2	xn−2	PROPN
ejpam-975	277	10	,	,	PUNCT
ejpam-975	277	11	t	t	PROPN
ejpam-975	277	12	xn−2	xn−2	PROPN
ejpam-975	277	13	)	)	PUNCT
ejpam-975	277	14	≤	≤	NOUN
ejpam-975	277	15	(	(	PUNCT
ejpam-975	277	16	1−	1−	NUM
ejpam-975	277	17	βγ)d(yn−2	βγ)d(yn−2	PROPN
ejpam-975	277	18	,	,	PUNCT
ejpam-975	277	19	yn−1	yn−1	NOUN
ejpam-975	277	20	)	)	PUNCT
ejpam-975	277	21	≤	≤	NOUN
ejpam-975	277	22	(	(	PUNCT
ejpam-975	277	23	1−	1−	NUM
ejpam-975	277	24	βγ	βγ	NOUN
ejpam-975	277	25	)	)	PUNCT
ejpam-975	277	26	n/2d(y0	n/2d(y0	PROPN
ejpam-975	277	27	,	,	PUNCT
ejpam-975	277	28	y1	y1	NOUN
ejpam-975	277	29	)	)	PUNCT
ejpam-975	277	30	and	and	CCONJ
ejpam-975	277	31	�	�	PROPN
ejpam-975	277	32	yn	yn	PROPN
ejpam-975	277	33	is	be	AUX
ejpam-975	277	34	cauchy	cauchy	NOUN
ejpam-975	277	35	,	,	PUNCT
ejpam-975	277	36	hence	hence	ADV
ejpam-975	277	37	convergent	convergent	ADJ
ejpam-975	277	38	to	to	ADP
ejpam-975	277	39	a	a	DET
ejpam-975	277	40	point	point	NOUN
ejpam-975	277	41	p	p	NOUN
ejpam-975	277	42	in	in	ADP
ejpam-975	277	43	x	x	PUNCT
ejpam-975	277	44	in	in	ADP
ejpam-975	277	45	cases	case	NOUN
ejpam-975	277	46	(	(	PUNCT
ejpam-975	277	47	i)-(iii	i)-(iii	NOUN
ejpam-975	277	48	)	)	PUNCT
ejpam-975	277	49	.	.	PUNCT
ejpam-975	278	1	if	if	SCONJ
ejpam-975	278	2	f	f	PROPN
ejpam-975	278	3	is	be	AUX
ejpam-975	278	4	surjective	surjective	ADJ
ejpam-975	278	5	,	,	PUNCT
ejpam-975	278	6	there	there	PRON
ejpam-975	278	7	exists	exist	VERB
ejpam-975	278	8	a	a	DET
ejpam-975	278	9	point	point	NOUN
ejpam-975	278	10	z	z	NOUN
ejpam-975	279	1	such	such	ADJ
ejpam-975	279	2	that	that	SCONJ
ejpam-975	279	3	p	p	PROPN
ejpam-975	279	4	=	=	X
ejpam-975	279	5	f	f	PROPN
ejpam-975	279	6	z.	z.	PROPN
ejpam-975	279	7	this	this	PRON
ejpam-975	279	8	is	be	AUX
ejpam-975	279	9	obviously	obviously	ADV
ejpam-975	279	10	true	true	ADJ
ejpam-975	279	11	in	in	ADP
ejpam-975	279	12	cases	case	NOUN
ejpam-975	279	13	(	(	PUNCT
ejpam-975	279	14	ii	ii	NOUN
ejpam-975	279	15	)	)	PUNCT
ejpam-975	279	16	p.	p.	NOUN
ejpam-975	279	17	jhade	jhade	PROPN
ejpam-975	279	18	,	,	PUNCT
ejpam-975	279	19	a.	a.	NOUN
ejpam-975	279	20	saluja	saluja	PROPN
ejpam-975	279	21	,	,	PUNCT
ejpam-975	279	22	r.	r.	PROPN
ejpam-975	279	23	kushwah	kushwah	PROPN
ejpam-975	279	24	/	/	SYM
ejpam-975	279	25	eur	eur	PROPN
ejpam-975	279	26	.	.	PUNCT
ejpam-975	280	1	j.	j.	PROPN
ejpam-975	280	2	pure	pure	PROPN
ejpam-975	280	3	appl	appl	PROPN
ejpam-975	280	4	.	.	PROPN
ejpam-975	280	5	math	math	PROPN
ejpam-975	280	6	,	,	PUNCT
ejpam-975	280	7	4	4	NUM
ejpam-975	280	8	(	(	PUNCT
ejpam-975	280	9	2011	2011	NUM
ejpam-975	280	10	)	)	PUNCT
ejpam-975	280	11	,	,	PUNCT
ejpam-975	280	12	330	330	NUM
ejpam-975	280	13	-	-	SYM
ejpam-975	280	14	339	339	NUM
ejpam-975	280	15	337	337	NUM
ejpam-975	280	16	and	and	CCONJ
ejpam-975	280	17	(	(	PUNCT
ejpam-975	280	18	iii	iii	NOUN
ejpam-975	280	19	)	)	PUNCT
ejpam-975	280	20	as	as	ADV
ejpam-975	280	21	well	well	ADV
ejpam-975	280	22	,	,	PUNCT
ejpam-975	280	23	d	d	X
ejpam-975	280	24	(	(	PUNCT
ejpam-975	280	25	f	f	PROPN
ejpam-975	280	26	z	z	PROPN
ejpam-975	280	27	,	,	PUNCT
ejpam-975	280	28	tz	tz	PROPN
ejpam-975	280	29	)	)	PUNCT
ejpam-975	280	30	≤	≤	NOUN
ejpam-975	281	1	d	d	X
ejpam-975	281	2	(	(	PUNCT
ejpam-975	281	3	f	f	PROPN
ejpam-975	281	4	z	z	PROPN
ejpam-975	281	5	,	,	PUNCT
ejpam-975	281	6	f	f	PROPN
ejpam-975	281	7	xn+1	xn+1	X
ejpam-975	281	8	)	)	PUNCT
ejpam-975	282	1	+	+	CCONJ
ejpam-975	283	1	d	d	X
ejpam-975	283	2	(	(	PUNCT
ejpam-975	283	3	f	f	PROPN
ejpam-975	283	4	xn+1	xn+1	PROPN
ejpam-975	283	5	,	,	PUNCT
ejpam-975	283	6	tz	tz	NOUN
ejpam-975	283	7	)	)	PUNCT
ejpam-975	283	8	≤	≤	NOUN
ejpam-975	284	1	d	d	X
ejpam-975	284	2	(	(	PUNCT
ejpam-975	284	3	f	f	PROPN
ejpam-975	284	4	z	z	PROPN
ejpam-975	284	5	,	,	PUNCT
ejpam-975	284	6	f	f	PROPN
ejpam-975	284	7	xn+1	xn+1	X
ejpam-975	284	8	)	)	PUNCT
ejpam-975	285	1	+	+	VERB
ejpam-975	285	2	h(t	h(t	PROPN
ejpam-975	285	3	xn	xn	PROPN
ejpam-975	285	4	,	,	PUNCT
ejpam-975	285	5	tz	tz	PROPN
ejpam-975	285	6	)	)	PUNCT
ejpam-975	285	7	≤	≤	NOUN
ejpam-975	286	1	d	d	X
ejpam-975	286	2	(	(	PUNCT
ejpam-975	286	3	f	f	PROPN
ejpam-975	286	4	z	z	PROPN
ejpam-975	286	5	,	,	PUNCT
ejpam-975	286	6	f	f	PROPN
ejpam-975	286	7	xn+1	xn+1	X
ejpam-975	286	8	)	)	PUNCT
ejpam-975	287	1	+	+	CCONJ
ejpam-975	287	2	ad	ad	NOUN
ejpam-975	287	3	(	(	PUNCT
ejpam-975	287	4	f	f	PROPN
ejpam-975	287	5	xn	xn	PROPN
ejpam-975	287	6	,	,	PUNCT
ejpam-975	287	7	f	f	PROPN
ejpam-975	287	8	z	z	PROPN
ejpam-975	287	9	)	)	PUNCT
ejpam-975	288	1	+	+	CCONJ
ejpam-975	288	2	b	b	X
ejpam-975	288	3	max{d	max{d	PROPN
ejpam-975	288	4	(	(	PUNCT
ejpam-975	288	5	f	f	PROPN
ejpam-975	288	6	xn	xn	PROPN
ejpam-975	288	7	,	,	PUNCT
ejpam-975	288	8	t	t	PROPN
ejpam-975	288	9	xn	xn	PROPN
ejpam-975	288	10	)	)	PUNCT
ejpam-975	288	11	,	,	PUNCT
ejpam-975	289	1	d	d	X
ejpam-975	289	2	(	(	PUNCT
ejpam-975	289	3	f	f	PROPN
ejpam-975	289	4	z	z	PROPN
ejpam-975	289	5	,	,	PUNCT
ejpam-975	289	6	tz	tz	PROPN
ejpam-975	289	7	)	)	PUNCT
ejpam-975	289	8	}	}	PUNCT
ejpam-975	290	1	+	+	CCONJ
ejpam-975	291	1	c	c	NOUN
ejpam-975	291	2	max{d	max{d	PROPN
ejpam-975	291	3	(	(	PUNCT
ejpam-975	291	4	f	f	PROPN
ejpam-975	291	5	xn	xn	PROPN
ejpam-975	291	6	,	,	PUNCT
ejpam-975	291	7	f	f	PROPN
ejpam-975	291	8	z	z	PROPN
ejpam-975	291	9	,	,	PUNCT
ejpam-975	291	10	d	d	X
ejpam-975	291	11	(	(	PUNCT
ejpam-975	291	12	f	f	PROPN
ejpam-975	291	13	xn	xn	PROPN
ejpam-975	291	14	,	,	PUNCT
ejpam-975	291	15	t	t	PROPN
ejpam-975	291	16	xn	xn	PROPN
ejpam-975	291	17	)	)	PUNCT
ejpam-975	291	18	,	,	PUNCT
ejpam-975	292	1	d	d	X
ejpam-975	292	2	(	(	PUNCT
ejpam-975	292	3	f	f	PROPN
ejpam-975	292	4	z	z	PROPN
ejpam-975	292	5	,	,	PUNCT
ejpam-975	292	6	tz	tz	PROPN
ejpam-975	292	7	)	)	PUNCT
ejpam-975	292	8	}	}	PUNCT
ejpam-975	293	1	+	+	CCONJ
ejpam-975	293	2	e	e	X
ejpam-975	293	3	max{d	max{d	PROPN
ejpam-975	293	4	(	(	PUNCT
ejpam-975	293	5	f	f	PROPN
ejpam-975	293	6	xn	xn	PROPN
ejpam-975	293	7	,	,	PUNCT
ejpam-975	293	8	f	f	PROPN
ejpam-975	293	9	z	z	PROPN
ejpam-975	293	10	)	)	PUNCT
ejpam-975	293	11	,	,	PUNCT
ejpam-975	294	1	d	d	PROPN
ejpam-975	294	2	(	(	PUNCT
ejpam-975	294	3	f	f	PROPN
ejpam-975	294	4	xn	xn	PROPN
ejpam-975	294	5	,	,	PUNCT
ejpam-975	294	6	t	t	PROPN
ejpam-975	294	7	xn	xn	PROPN
ejpam-975	294	8	)	)	PUNCT
ejpam-975	294	9	,	,	PUNCT
ejpam-975	295	1	d	d	X
ejpam-975	295	2	(	(	PUNCT
ejpam-975	295	3	f	f	PROPN
ejpam-975	295	4	z	z	PROPN
ejpam-975	295	5	,	,	PUNCT
ejpam-975	295	6	tz	tz	PROPN
ejpam-975	295	7	)	)	PUNCT
ejpam-975	295	8	,	,	PUNCT
ejpam-975	296	1	d	d	PROPN
ejpam-975	296	2	(	(	PUNCT
ejpam-975	296	3	f	f	PROPN
ejpam-975	296	4	xn	xn	PROPN
ejpam-975	296	5	,	,	PUNCT
ejpam-975	296	6	tz	tz	NOUN
ejpam-975	296	7	)	)	PUNCT
ejpam-975	296	8	}	}	PUNCT
ejpam-975	296	9	≤	≤	NUM
ejpam-975	297	1	d	d	X
ejpam-975	297	2	(	(	PUNCT
ejpam-975	297	3	f	f	PROPN
ejpam-975	297	4	z	z	PROPN
ejpam-975	297	5	,	,	PUNCT
ejpam-975	297	6	f	f	PROPN
ejpam-975	297	7	xn+1	xn+1	X
ejpam-975	297	8	)	)	PUNCT
ejpam-975	298	1	+	+	CCONJ
ejpam-975	298	2	sup	sup	NOUN
ejpam-975	298	3	x	x	SYM
ejpam-975	298	4	,	,	PUNCT
ejpam-975	298	5	y∈x	y∈x	NOUN
ejpam-975	298	6	ad	ad	NOUN
ejpam-975	298	7	(	(	PUNCT
ejpam-975	298	8	f	f	PROPN
ejpam-975	298	9	xn	xn	PROPN
ejpam-975	298	10	,	,	PUNCT
ejpam-975	298	11	f	f	PROPN
ejpam-975	298	12	z	z	PROPN
ejpam-975	298	13	)	)	PUNCT
ejpam-975	299	1	+	+	CCONJ
ejpam-975	299	2	sup	sup	NOUN
ejpam-975	299	3	x	x	PUNCT
ejpam-975	299	4	,	,	PUNCT
ejpam-975	299	5	y∈x	y∈x	NOUN
ejpam-975	299	6	(	(	PUNCT
ejpam-975	299	7	b+	b+	NUM
ejpam-975	300	1	c	c	X
ejpam-975	300	2	+	+	CCONJ
ejpam-975	300	3	e)max{max{d	e)max{max{d	PROPN
ejpam-975	300	4	(	(	PUNCT
ejpam-975	300	5	f	f	PROPN
ejpam-975	300	6	xn	xn	PROPN
ejpam-975	300	7	,	,	PUNCT
ejpam-975	300	8	t	t	PROPN
ejpam-975	300	9	xn	xn	PROPN
ejpam-975	300	10	)	)	PUNCT
ejpam-975	300	11	,	,	PUNCT
ejpam-975	301	1	d	d	X
ejpam-975	301	2	(	(	PUNCT
ejpam-975	301	3	f	f	PROPN
ejpam-975	301	4	z	z	PROPN
ejpam-975	301	5	,	,	PUNCT
ejpam-975	301	6	tz	tz	PROPN
ejpam-975	301	7	)	)	PUNCT
ejpam-975	301	8	}	}	PUNCT
ejpam-975	301	9	,	,	PUNCT
ejpam-975	301	10	max{d	max{d	PROPN
ejpam-975	301	11	(	(	PUNCT
ejpam-975	301	12	f	f	PROPN
ejpam-975	301	13	xn	xn	PROPN
ejpam-975	301	14	,	,	PUNCT
ejpam-975	301	15	f	f	PROPN
ejpam-975	301	16	z	z	PROPN
ejpam-975	301	17	)	)	PUNCT
ejpam-975	301	18	,	,	PUNCT
ejpam-975	302	1	d	d	PROPN
ejpam-975	302	2	(	(	PUNCT
ejpam-975	302	3	f	f	PROPN
ejpam-975	302	4	xn	xn	PROPN
ejpam-975	302	5	,	,	PUNCT
ejpam-975	302	6	t	t	PROPN
ejpam-975	302	7	xn	xn	PROPN
ejpam-975	302	8	)	)	PUNCT
ejpam-975	302	9	,	,	PUNCT
ejpam-975	303	1	d	d	X
ejpam-975	303	2	(	(	PUNCT
ejpam-975	303	3	f	f	PROPN
ejpam-975	303	4	z	z	PROPN
ejpam-975	303	5	,	,	PUNCT
ejpam-975	303	6	tz	tz	PROPN
ejpam-975	303	7	)	)	PUNCT
ejpam-975	303	8	}	}	PUNCT
ejpam-975	303	9	,	,	PUNCT
ejpam-975	303	10	max{d	max{d	PROPN
ejpam-975	303	11	(	(	PUNCT
ejpam-975	303	12	f	f	PROPN
ejpam-975	303	13	xn	xn	PROPN
ejpam-975	303	14	,	,	PUNCT
ejpam-975	303	15	f	f	PROPN
ejpam-975	303	16	z	z	PROPN
ejpam-975	303	17	)	)	PUNCT
ejpam-975	303	18	,	,	PUNCT
ejpam-975	304	1	d	d	PROPN
ejpam-975	304	2	(	(	PUNCT
ejpam-975	304	3	f	f	PROPN
ejpam-975	304	4	xn	xn	PROPN
ejpam-975	304	5	,	,	PUNCT
ejpam-975	304	6	t	t	PROPN
ejpam-975	304	7	xn	xn	PROPN
ejpam-975	304	8	)	)	PUNCT
ejpam-975	304	9	,	,	PUNCT
ejpam-975	305	1	d	d	X
ejpam-975	305	2	(	(	PUNCT
ejpam-975	305	3	f	f	PROPN
ejpam-975	305	4	z	z	PROPN
ejpam-975	305	5	,	,	PUNCT
ejpam-975	305	6	tz	tz	PROPN
ejpam-975	305	7	)	)	PUNCT
ejpam-975	305	8	,	,	PUNCT
ejpam-975	306	1	d	d	PROPN
ejpam-975	306	2	(	(	PUNCT
ejpam-975	306	3	f	f	PROPN
ejpam-975	306	4	xn	xn	PROPN
ejpam-975	306	5	,	,	PUNCT
ejpam-975	306	6	tz	tz	PROPN
ejpam-975	306	7	)	)	PUNCT
ejpam-975	306	8	}	}	PUNCT
ejpam-975	306	9	}	}	PUNCT
ejpam-975	306	10	taking	take	VERB
ejpam-975	306	11	limit	limit	NOUN
ejpam-975	306	12	as	as	ADP
ejpam-975	306	13	n→∞	n→∞	NUM
ejpam-975	306	14	d	d	NOUN
ejpam-975	306	15	(	(	PUNCT
ejpam-975	306	16	f	f	PROPN
ejpam-975	306	17	z	z	PROPN
ejpam-975	306	18	,	,	PUNCT
ejpam-975	306	19	tz	tz	PROPN
ejpam-975	306	20	)	)	PUNCT
ejpam-975	306	21	≤	≤	NOUN
ejpam-975	307	1	d	d	X
ejpam-975	307	2	(	(	PUNCT
ejpam-975	307	3	f	f	PROPN
ejpam-975	307	4	z	z	PROPN
ejpam-975	307	5	,	,	PUNCT
ejpam-975	307	6	f	f	PROPN
ejpam-975	307	7	z	z	PROPN
ejpam-975	307	8	)	)	PUNCT
ejpam-975	308	1	+	+	CCONJ
ejpam-975	308	2	sup	sup	NOUN
ejpam-975	308	3	x	x	SYM
ejpam-975	308	4	,	,	PUNCT
ejpam-975	308	5	y∈x	y∈x	NOUN
ejpam-975	308	6	ad	ad	NOUN
ejpam-975	308	7	(	(	PUNCT
ejpam-975	308	8	f	f	PROPN
ejpam-975	308	9	z	z	PROPN
ejpam-975	308	10	,	,	PUNCT
ejpam-975	308	11	f	f	PROPN
ejpam-975	308	12	z	z	PROPN
ejpam-975	308	13	)	)	PUNCT
ejpam-975	309	1	+	+	CCONJ
ejpam-975	309	2	sup	sup	NOUN
ejpam-975	309	3	x	x	PUNCT
ejpam-975	309	4	,	,	PUNCT
ejpam-975	309	5	y∈x	y∈x	NOUN
ejpam-975	309	6	(	(	PUNCT
ejpam-975	309	7	b+	b+	NUM
ejpam-975	310	1	c	c	X
ejpam-975	310	2	+	+	CCONJ
ejpam-975	310	3	e)max{max{d	e)max{max{d	PROPN
ejpam-975	310	4	(	(	PUNCT
ejpam-975	310	5	f	f	PROPN
ejpam-975	310	6	z	z	PROPN
ejpam-975	310	7	,	,	PUNCT
ejpam-975	310	8	tz	tz	PROPN
ejpam-975	310	9	)	)	PUNCT
ejpam-975	310	10	,	,	PUNCT
ejpam-975	311	1	d	d	PROPN
ejpam-975	311	2	(	(	PUNCT
ejpam-975	311	3	f	f	PROPN
ejpam-975	311	4	z	z	PROPN
ejpam-975	311	5	,	,	PUNCT
ejpam-975	311	6	tz	tz	PROPN
ejpam-975	311	7	)	)	PUNCT
ejpam-975	311	8	}	}	PUNCT
ejpam-975	311	9	,	,	PUNCT
ejpam-975	311	10	max{d	max{d	PROPN
ejpam-975	311	11	(	(	PUNCT
ejpam-975	311	12	f	f	PROPN
ejpam-975	311	13	z	z	PROPN
ejpam-975	311	14	,	,	PUNCT
ejpam-975	311	15	f	f	PROPN
ejpam-975	311	16	z	z	PROPN
ejpam-975	311	17	)	)	PUNCT
ejpam-975	311	18	,	,	PUNCT
ejpam-975	312	1	d	d	PROPN
ejpam-975	312	2	(	(	PUNCT
ejpam-975	312	3	f	f	PROPN
ejpam-975	312	4	z	z	PROPN
ejpam-975	312	5	,	,	PUNCT
ejpam-975	312	6	tz	tz	PROPN
ejpam-975	312	7	)	)	PUNCT
ejpam-975	312	8	,	,	PUNCT
ejpam-975	313	1	d	d	PROPN
ejpam-975	313	2	(	(	PUNCT
ejpam-975	313	3	f	f	PROPN
ejpam-975	313	4	z	z	PROPN
ejpam-975	313	5	,	,	PUNCT
ejpam-975	313	6	tz)},max{d	tz)},max{d	PROPN
ejpam-975	313	7	(	(	PUNCT
ejpam-975	313	8	f	f	PROPN
ejpam-975	313	9	z	z	PROPN
ejpam-975	313	10	,	,	PUNCT
ejpam-975	313	11	f	f	PROPN
ejpam-975	313	12	z	z	PROPN
ejpam-975	313	13	)	)	PUNCT
ejpam-975	313	14	,	,	PUNCT
ejpam-975	314	1	d	d	PROPN
ejpam-975	314	2	(	(	PUNCT
ejpam-975	314	3	f	f	PROPN
ejpam-975	314	4	z	z	PROPN
ejpam-975	314	5	,	,	PUNCT
ejpam-975	314	6	tz	tz	PROPN
ejpam-975	314	7	)	)	PUNCT
ejpam-975	314	8	,	,	PUNCT
ejpam-975	315	1	d	d	PROPN
ejpam-975	315	2	(	(	PUNCT
ejpam-975	315	3	f	f	PROPN
ejpam-975	315	4	z	z	PROPN
ejpam-975	315	5	,	,	PUNCT
ejpam-975	315	6	tz	tz	PROPN
ejpam-975	315	7	)	)	PUNCT
ejpam-975	315	8	,	,	PUNCT
ejpam-975	315	9	d	d	PROPN
ejpam-975	315	10	(	(	PUNCT
ejpam-975	315	11	f	f	PROPN
ejpam-975	315	12	z	z	PROPN
ejpam-975	315	13	,	,	PUNCT
ejpam-975	315	14	tz	tz	PROPN
ejpam-975	315	15	)	)	PUNCT
ejpam-975	315	16	}	}	PUNCT
ejpam-975	315	17	}	}	PUNCT
ejpam-975	315	18	implies	imply	VERB
ejpam-975	315	19	that	that	SCONJ
ejpam-975	315	20	d	d	X
ejpam-975	315	21	(	(	PUNCT
ejpam-975	315	22	f	f	PROPN
ejpam-975	315	23	z	z	PROPN
ejpam-975	315	24	,	,	PUNCT
ejpam-975	315	25	tz	tz	PROPN
ejpam-975	315	26	)	)	PUNCT
ejpam-975	315	27	≤	≤	NUM
ejpam-975	315	28	supx	supx	NOUN
ejpam-975	315	29	,	,	PUNCT
ejpam-975	315	30	y∈x	y∈x	NOUN
ejpam-975	315	31	(	(	PUNCT
ejpam-975	315	32	b+	b+	NOUN
ejpam-975	315	33	c	c	X
ejpam-975	315	34	+	+	X
ejpam-975	315	35	e)d	e)d	X
ejpam-975	315	36	(	(	PUNCT
ejpam-975	315	37	f	f	PROPN
ejpam-975	315	38	z	z	PROPN
ejpam-975	315	39	,	,	PUNCT
ejpam-975	315	40	tz)and	tz)and	NOUN
ejpam-975	315	41	hence	hence	ADV
ejpam-975	315	42	f	f	PROPN
ejpam-975	315	43	z	z	NOUN
ejpam-975	315	44	=	=	SYM
ejpam-975	315	45	tz	tz	PROPN
ejpam-975	315	46	.	.	PUNCT
ejpam-975	315	47	corollary	corollary	ADJ
ejpam-975	315	48	2	2	NUM
ejpam-975	315	49	.	.	PUNCT
ejpam-975	316	1	let	let	VERB
ejpam-975	316	2	x	x	PRON
ejpam-975	316	3	be	be	AUX
ejpam-975	316	4	a	a	DET
ejpam-975	316	5	metric	metric	ADJ
ejpam-975	316	6	space	space	NOUN
ejpam-975	316	7	,	,	PUNCT
ejpam-975	316	8	t	t	PROPN
ejpam-975	316	9	a	a	DET
ejpam-975	316	10	multi	multi	ADJ
ejpam-975	316	11	-	-	ADJ
ejpam-975	316	12	valued	value	VERB
ejpam-975	316	13	map	map	NOUN
ejpam-975	316	14	from	from	ADP
ejpam-975	316	15	x	x	PRON
ejpam-975	316	16	to	to	ADP
ejpam-975	316	17	c(x	c(x	NOUN
ejpam-975	316	18	)	)	PUNCT
ejpam-975	316	19	.	.	PUNCT
ejpam-975	317	1	if	if	SCONJ
ejpam-975	317	2	x	x	PRON
ejpam-975	317	3	is	be	AUX
ejpam-975	317	4	t	t	NOUN
ejpam-975	317	5	-orbitally	-orbitally	ADV
ejpam-975	317	6	complete	complete	ADJ
ejpam-975	317	7	and	and	CCONJ
ejpam-975	317	8	for	for	ADP
ejpam-975	317	9	each	each	DET
ejpam-975	317	10	x	x	X
ejpam-975	317	11	,	,	PUNCT
ejpam-975	317	12	y	y	PROPN
ejpam-975	317	13	∈	∈	PROPN
ejpam-975	317	14	x	x	X
ejpam-975	317	15	h(t	h(t	PROPN
ejpam-975	317	16	x	x	SYM
ejpam-975	317	17	,	,	PUNCT
ejpam-975	317	18	t	t	PROPN
ejpam-975	317	19	y	y	NOUN
ejpam-975	317	20	)	)	PUNCT
ejpam-975	317	21	≤	≤	PROPN
ejpam-975	318	1	a(x	a(x	NOUN
ejpam-975	318	2	,	,	PUNCT
ejpam-975	318	3	y)d(x	y)d(x	X
ejpam-975	318	4	,	,	PUNCT
ejpam-975	318	5	y	y	NOUN
ejpam-975	318	6	)	)	PUNCT
ejpam-975	319	1	+	+	CCONJ
ejpam-975	319	2	b(x	b(x	ADJ
ejpam-975	319	3	,	,	PUNCT
ejpam-975	319	4	y)max{d(x	y)max{d(x	PROPN
ejpam-975	319	5	,	,	PUNCT
ejpam-975	319	6	t	t	PROPN
ejpam-975	319	7	x	x	PROPN
ejpam-975	319	8	)	)	PUNCT
ejpam-975	319	9	,	,	PUNCT
ejpam-975	319	10	d(y	d(y	PROPN
ejpam-975	319	11	,	,	PUNCT
ejpam-975	319	12	t	t	PROPN
ejpam-975	319	13	y	y	PROPN
ejpam-975	319	14	)	)	PUNCT
ejpam-975	319	15	}	}	PUNCT
ejpam-975	320	1	+	+	CCONJ
ejpam-975	320	2	c(x	c(x	NOUN
ejpam-975	320	3	,	,	PUNCT
ejpam-975	320	4	y)max{d(x	y)max{d(x	NOUN
ejpam-975	320	5	,	,	PUNCT
ejpam-975	320	6	y	y	PROPN
ejpam-975	320	7	)	)	PUNCT
ejpam-975	320	8	,	,	PUNCT
ejpam-975	320	9	d(x	d(x	PROPN
ejpam-975	320	10	,	,	PUNCT
ejpam-975	320	11	t	t	PROPN
ejpam-975	320	12	x	x	PROPN
ejpam-975	320	13	)	)	PUNCT
ejpam-975	320	14	,	,	PUNCT
ejpam-975	320	15	d(y	d(y	PROPN
ejpam-975	320	16	,	,	PUNCT
ejpam-975	320	17	t	t	PROPN
ejpam-975	320	18	y	y	PROPN
ejpam-975	320	19	)	)	PUNCT
ejpam-975	320	20	}	}	PUNCT
ejpam-975	321	1	+	+	NUM
ejpam-975	321	2	e(x	e(x	NOUN
ejpam-975	321	3	,	,	PUNCT
ejpam-975	321	4	y)max{d(x	y)max{d(x	NOUN
ejpam-975	321	5	,	,	PUNCT
ejpam-975	321	6	y	y	PROPN
ejpam-975	321	7	)	)	PUNCT
ejpam-975	321	8	,	,	PUNCT
ejpam-975	321	9	d(x	d(x	PROPN
ejpam-975	321	10	,	,	PUNCT
ejpam-975	321	11	t	t	PROPN
ejpam-975	321	12	x	x	PROPN
ejpam-975	321	13	)	)	PUNCT
ejpam-975	321	14	,	,	PUNCT
ejpam-975	321	15	d(y	d(y	PROPN
ejpam-975	321	16	,	,	PUNCT
ejpam-975	321	17	t	t	PROPN
ejpam-975	321	18	y	y	PROPN
ejpam-975	321	19	)	)	PUNCT
ejpam-975	321	20	,	,	PUNCT
ejpam-975	321	21	d(x	d(x	PROPN
ejpam-975	321	22	,	,	PUNCT
ejpam-975	321	23	t	t	PROPN
ejpam-975	321	24	y	y	PROPN
ejpam-975	321	25	)	)	PUNCT
ejpam-975	321	26	}	}	PUNCT
ejpam-975	321	27	(	(	PUNCT
ejpam-975	321	28	9	9	X
ejpam-975	321	29	)	)	PUNCT
ejpam-975	321	30	where	where	SCONJ
ejpam-975	321	31	a	a	DET
ejpam-975	321	32	,	,	PUNCT
ejpam-975	321	33	b	b	NOUN
ejpam-975	321	34	,	,	PUNCT
ejpam-975	321	35	c	c	X
ejpam-975	321	36	,	,	PUNCT
ejpam-975	321	37	e	e	NOUN
ejpam-975	321	38	:	:	PUNCT
ejpam-975	321	39	x	x	SYM
ejpam-975	321	40	×	×	NOUN
ejpam-975	321	41	x	x	INTJ
ejpam-975	321	42	→	→	X
ejpam-975	321	43	[	[	X
ejpam-975	321	44	0,1	0,1	NUM
ejpam-975	321	45	)	)	PUNCT
ejpam-975	321	46	satisfying	satisfy	VERB
ejpam-975	321	47	a(x	a(x	NOUN
ejpam-975	321	48	,	,	PUNCT
ejpam-975	321	49	y)≥	y)≥	PROPN
ejpam-975	321	50	0	0	NUM
ejpam-975	321	51	,	,	PUNCT
ejpam-975	321	52	infx	infx	NOUN
ejpam-975	321	53	,	,	PUNCT
ejpam-975	321	54	y∈x	y∈x	PROPN
ejpam-975	321	55	e(x	e(x	NUM
ejpam-975	321	56	,	,	PUNCT
ejpam-975	321	57	y	y	PROPN
ejpam-975	321	58	)	)	PUNCT
ejpam-975	321	59	>	>	SYM
ejpam-975	321	60	0	0	NUM
ejpam-975	321	61	infx	infx	NOUN
ejpam-975	321	62	,	,	PUNCT
ejpam-975	321	63	y∈x	y∈x	NOUN
ejpam-975	321	64	(	(	PUNCT
ejpam-975	321	65	1	1	NUM
ejpam-975	321	66	+	+	CCONJ
ejpam-975	321	67	b(x	b(x	NOUN
ejpam-975	321	68	,	,	PUNCT
ejpam-975	321	69	y	y	PROPN
ejpam-975	321	70	)	)	PUNCT
ejpam-975	321	71	+	+	CCONJ
ejpam-975	321	72	e(x	e(x	NUM
ejpam-975	321	73	,	,	PUNCT
ejpam-975	321	74	y	y	NOUN
ejpam-975	321	75	)	)	PUNCT
ejpam-975	321	76	)	)	PUNCT
ejpam-975	321	77	>	>	X
ejpam-975	321	78	0	0	PUNCT
ejpam-975	322	1	and	and	CCONJ
ejpam-975	322	2	sup	sup	NOUN
ejpam-975	322	3	x	x	NOUN
ejpam-975	322	4	,	,	PUNCT
ejpam-975	322	5	y∈x	y∈x	NOUN
ejpam-975	322	6	(	(	PUNCT
ejpam-975	322	7	a(x	a(x	NOUN
ejpam-975	322	8	,	,	PUNCT
ejpam-975	322	9	y	y	PROPN
ejpam-975	322	10	)	)	PUNCT
ejpam-975	323	1	+	+	CCONJ
ejpam-975	324	1	b(x	b(x	NOUN
ejpam-975	324	2	,	,	PUNCT
ejpam-975	324	3	y	y	PROPN
ejpam-975	324	4	)	)	PUNCT
ejpam-975	325	1	+	+	CCONJ
ejpam-975	325	2	c(x	c(x	NOUN
ejpam-975	325	3	,	,	PUNCT
ejpam-975	325	4	y	y	PROPN
ejpam-975	325	5	)	)	PUNCT
ejpam-975	326	1	+	+	CCONJ
ejpam-975	326	2	2e(x	2e(x	NUM
ejpam-975	326	3	,	,	PUNCT
ejpam-975	326	4	y	y	NOUN
ejpam-975	326	5	)	)	PUNCT
ejpam-975	326	6	)	)	PUNCT
ejpam-975	327	1	=	=	PUNCT
ejpam-975	327	2	1	1	NUM
ejpam-975	327	3	then	then	ADV
ejpam-975	327	4	t	t	PROPN
ejpam-975	327	5	has	have	VERB
ejpam-975	327	6	a	a	DET
ejpam-975	327	7	fixed	fix	VERB
ejpam-975	327	8	point	point	NOUN
ejpam-975	327	9	in	in	ADP
ejpam-975	327	10	x.	x.	PROPN
ejpam-975	327	11	theorem	theorem	VERB
ejpam-975	327	12	3	3	X
ejpam-975	327	13	.	.	PUNCT
ejpam-975	328	1	let	let	AUX
ejpam-975	328	2	x	x	PRON
ejpam-975	328	3	,	,	PUNCT
ejpam-975	328	4	t	t	PROPN
ejpam-975	328	5	and	and	CCONJ
ejpam-975	328	6	f	f	PROPN
ejpam-975	328	7	satisfy	satisfy	VERB
ejpam-975	328	8	the	the	DET
ejpam-975	328	9	hypotheses	hypothesis	NOUN
ejpam-975	328	10	of	of	ADP
ejpam-975	328	11	theorem	theorem	NOUN
ejpam-975	328	12	2	2	NUM
ejpam-975	328	13	with	with	ADP
ejpam-975	328	14	c(x	c(x	NOUN
ejpam-975	328	15	)	)	PUNCT
ejpam-975	328	16	replaced	replace	VERB
ejpam-975	328	17	by	by	ADP
ejpam-975	328	18	c	c	NOUN
ejpam-975	328	19	l(x	l(x	PROPN
ejpam-975	328	20	)	)	PUNCT
ejpam-975	328	21	and	and	CCONJ
ejpam-975	328	22	a	a	DET
ejpam-975	328	23	,	,	PUNCT
ejpam-975	328	24	b	b	NOUN
ejpam-975	328	25	,	,	PUNCT
ejpam-975	328	26	c	c	NOUN
ejpam-975	328	27	,	,	PUNCT
ejpam-975	328	28	e	e	X
ejpam-975	328	29	satisfy	satisfy	NOUN
ejpam-975	328	30	δ	δ	PROPN
ejpam-975	328	31	=	=	SYM
ejpam-975	328	32	supx	supx	PROPN
ejpam-975	328	33	,	,	PUNCT
ejpam-975	328	34	y∈x	y∈x	NOUN
ejpam-975	328	35	(	(	PUNCT
ejpam-975	328	36	a(x	a(x	NOUN
ejpam-975	328	37	,	,	PUNCT
ejpam-975	328	38	y	y	PROPN
ejpam-975	328	39	)	)	PUNCT
ejpam-975	329	1	+	+	CCONJ
ejpam-975	330	1	b(x	b(x	NOUN
ejpam-975	330	2	,	,	PUNCT
ejpam-975	330	3	y	y	PROPN
ejpam-975	330	4	)	)	PUNCT
ejpam-975	331	1	+	+	CCONJ
ejpam-975	331	2	c(x	c(x	NOUN
ejpam-975	331	3	,	,	PUNCT
ejpam-975	331	4	y	y	PROPN
ejpam-975	331	5	)	)	PUNCT
ejpam-975	332	1	+	+	CCONJ
ejpam-975	332	2	2e(x	2e(x	NUM
ejpam-975	332	3	,	,	PUNCT
ejpam-975	332	4	y	y	X
ejpam-975	332	5	)	)	PUNCT
ejpam-975	332	6	<	<	X
ejpam-975	333	1	1	1	X
ejpam-975	333	2	.	.	PUNCT
ejpam-975	333	3	then	then	ADV
ejpam-975	333	4	t	t	PROPN
ejpam-975	333	5	and	and	CCONJ
ejpam-975	333	6	f	f	PROPN
ejpam-975	333	7	have	have	VERB
ejpam-975	333	8	a	a	DET
ejpam-975	333	9	coincidence	coincidence	NOUN
ejpam-975	333	10	.	.	PUNCT
ejpam-975	334	1	proof	proof	NOUN
ejpam-975	334	2	.	.	PUNCT
ejpam-975	335	1	let	let	VERB
ejpam-975	335	2	x0	x0	PROPN
ejpam-975	335	3	∈	∈	PROPN
ejpam-975	335	4	x	x	X
ejpam-975	335	5	,	,	PUNCT
ejpam-975	335	6	and	and	CCONJ
ejpam-975	335	7	construct	construct	VERB
ejpam-975	335	8	sequences	sequence	NOUN
ejpam-975	335	9	{	{	PUNCT
ejpam-975	335	10	xn	xn	NUM
ejpam-975	335	11	}	}	PUNCT
ejpam-975	335	12	and	and	CCONJ
ejpam-975	335	13	{	{	PUNCT
ejpam-975	335	14	yn	yn	NOUN
ejpam-975	335	15	}	}	PUNCT
ejpam-975	335	16	as	as	SCONJ
ejpam-975	335	17	follows	follow	VERB
ejpam-975	335	18	:	:	PUNCT
ejpam-975	335	19	since	since	SCONJ
ejpam-975	335	20	t	t	PROPN
ejpam-975	335	21	(	(	PUNCT
ejpam-975	335	22	x	x	X
ejpam-975	335	23	)	)	PUNCT
ejpam-975	335	24	⊆	⊆	NUM
ejpam-975	335	25	f	f	X
ejpam-975	335	26	(	(	PUNCT
ejpam-975	335	27	x	x	PROPN
ejpam-975	335	28	)	)	PUNCT
ejpam-975	335	29	,	,	PUNCT
ejpam-975	335	30	choose	choose	VERB
ejpam-975	335	31	y1	y1	NOUN
ejpam-975	335	32	=	=	PUNCT
ejpam-975	335	33	f	f	X
ejpam-975	335	34	x1	x1	PROPN
ejpam-975	335	35	∈	∈	PROPN
ejpam-975	335	36	t	t	PROPN
ejpam-975	335	37	x0	x0	PROPN
ejpam-975	335	38	.	.	PUNCT
ejpam-975	336	1	if	if	SCONJ
ejpam-975	336	2	t	t	NOUN
ejpam-975	336	3	x0	x0	PROPN
ejpam-975	337	1	=	=	PUNCT
ejpam-975	338	1	t	t	PROPN
ejpam-975	338	2	x1	x1	PROPN
ejpam-975	338	3	choose	choose	VERB
ejpam-975	338	4	y2	y2	NOUN
ejpam-975	339	1	=	=	SYM
ejpam-975	340	1	f	f	PROPN
ejpam-975	341	1	x2	x2	PROPN
ejpam-975	341	2	∈	∈	PROPN
ejpam-975	341	3	t	t	NOUN
ejpam-975	342	1	x1	x1	NUM
ejpam-975	342	2	such	such	ADJ
ejpam-975	342	3	that	that	DET
ejpam-975	342	4	y1	y1	NOUN
ejpam-975	342	5	=	=	PUNCT
ejpam-975	342	6	y2	y2	PROPN
ejpam-975	342	7	.	.	PUNCT
ejpam-975	343	1	if	if	SCONJ
ejpam-975	343	2	p.	p.	PROPN
ejpam-975	343	3	jhade	jhade	PROPN
ejpam-975	343	4	,	,	PUNCT
ejpam-975	343	5	a.	a.	NOUN
ejpam-975	343	6	saluja	saluja	PROPN
ejpam-975	343	7	,	,	PUNCT
ejpam-975	343	8	r.	r.	PROPN
ejpam-975	343	9	kushwah	kushwah	PROPN
ejpam-975	343	10	/	/	SYM
ejpam-975	343	11	eur	eur	PROPN
ejpam-975	343	12	.	.	PUNCT
ejpam-975	344	1	j.	j.	PROPN
ejpam-975	344	2	pure	pure	PROPN
ejpam-975	344	3	appl	appl	PROPN
ejpam-975	344	4	.	.	PROPN
ejpam-975	344	5	math	math	PROPN
ejpam-975	344	6	,	,	PUNCT
ejpam-975	344	7	4	4	NUM
ejpam-975	344	8	(	(	PUNCT
ejpam-975	344	9	2011	2011	NUM
ejpam-975	344	10	)	)	PUNCT
ejpam-975	344	11	,	,	PUNCT
ejpam-975	344	12	330	330	NUM
ejpam-975	344	13	-	-	SYM
ejpam-975	344	14	339	339	NUM
ejpam-975	344	15	338	338	NUM
ejpam-975	344	16	t	t	NOUN
ejpam-975	344	17	x0	x0	PROPN
ejpam-975	344	18	6=	6=	PROPN
ejpam-975	344	19	t	t	PROPN
ejpam-975	344	20	x1	x1	NUM
ejpam-975	344	21	,	,	PUNCT
ejpam-975	344	22	choose	choose	VERB
ejpam-975	344	23	y2	y2	NOUN
ejpam-975	345	1	=	=	SYM
ejpam-975	346	1	f	f	PROPN
ejpam-975	347	1	x2	x2	PROPN
ejpam-975	347	2	∈	∈	PROPN
ejpam-975	347	3	t	t	NOUN
ejpam-975	348	1	x1	x1	NUM
ejpam-975	348	2	such	such	ADJ
ejpam-975	348	3	that	that	DET
ejpam-975	348	4	d(y1	d(y1	NOUN
ejpam-975	348	5	,	,	PUNCT
ejpam-975	348	6	y2	y2	PROPN
ejpam-975	348	7	)	)	PUNCT
ejpam-975	348	8	≤	≤	NOUN
ejpam-975	348	9	λh(t	λh(t	PUNCT
ejpam-975	348	10	x0	x0	PROPN
ejpam-975	348	11	,	,	PUNCT
ejpam-975	348	12	t	t	PROPN
ejpam-975	348	13	x1	x1	NUM
ejpam-975	348	14	)	)	PUNCT
ejpam-975	348	15	,	,	PUNCT
ejpam-975	348	16	where	where	SCONJ
ejpam-975	348	17	λ	λ	X
ejpam-975	348	18	>	>	X
ejpam-975	348	19	1	1	NUM
ejpam-975	348	20	and	and	CCONJ
ejpam-975	348	21	λδ	λδ	PRON
ejpam-975	348	22	<	<	X
ejpam-975	348	23	1	1	NUM
ejpam-975	348	24	.	.	PUNCT
ejpam-975	349	1	in	in	ADP
ejpam-975	349	2	general	general	ADJ
ejpam-975	349	3	,	,	PUNCT
ejpam-975	349	4	choose	choose	VERB
ejpam-975	349	5	yn+2	yn+2	NUM
ejpam-975	349	6	∈	∈	PROPN
ejpam-975	349	7	t	t	X
ejpam-975	349	8	xn+1	xn+1	PROPN
ejpam-975	349	9	such	such	ADJ
ejpam-975	349	10	that	that	DET
ejpam-975	349	11	d(yn+1	d(yn+1	PROPN
ejpam-975	349	12	,	,	PUNCT
ejpam-975	349	13	yn+2	yn+2	NUM
ejpam-975	349	14	)	)	PUNCT
ejpam-975	349	15	≤	≤	NOUN
ejpam-975	349	16	λh(t	λh(t	PUNCT
ejpam-975	349	17	xn	xn	PROPN
ejpam-975	349	18	,	,	PUNCT
ejpam-975	349	19	t	t	PROPN
ejpam-975	349	20	xn+1	xn+1	NUM
ejpam-975	349	21	)	)	PUNCT
ejpam-975	349	22	.	.	PUNCT
ejpam-975	350	1	from	from	ADP
ejpam-975	350	2	(	(	PUNCT
ejpam-975	350	3	6	6	NUM
ejpam-975	350	4	)	)	PUNCT
ejpam-975	350	5	,	,	PUNCT
ejpam-975	350	6	we	we	PRON
ejpam-975	350	7	have	have	VERB
ejpam-975	350	8	d(yn+1	d(yn+1	PROPN
ejpam-975	350	9	,	,	PUNCT
ejpam-975	350	10	yn+2	yn+2	NUM
ejpam-975	350	11	)	)	PUNCT
ejpam-975	350	12	=	=	SYM
ejpam-975	351	1	d	d	X
ejpam-975	351	2	(	(	PUNCT
ejpam-975	351	3	f	f	PROPN
ejpam-975	351	4	xn+1	xn+1	PROPN
ejpam-975	351	5	,	,	PUNCT
ejpam-975	351	6	f	f	PROPN
ejpam-975	351	7	xn+2	xn+2	NUM
ejpam-975	351	8	)	)	PUNCT
ejpam-975	351	9	≤	≤	PUNCT
ejpam-975	351	10	h(t	h(t	PROPN
ejpam-975	351	11	xn	xn	PROPN
ejpam-975	351	12	,	,	PUNCT
ejpam-975	351	13	t	t	PROPN
ejpam-975	351	14	xn+1	xn+1	NUM
ejpam-975	351	15	)	)	PUNCT
ejpam-975	351	16	≤	≤	NOUN
ejpam-975	351	17	λa(x	λa(x	PUNCT
ejpam-975	351	18	,	,	PUNCT
ejpam-975	351	19	y)d	y)d	PROPN
ejpam-975	351	20	(	(	PUNCT
ejpam-975	351	21	f	f	PROPN
ejpam-975	351	22	xn	xn	PROPN
ejpam-975	351	23	,	,	PUNCT
ejpam-975	351	24	f	f	PROPN
ejpam-975	351	25	xn+1	xn+1	X
ejpam-975	351	26	)	)	PUNCT
ejpam-975	352	1	+	+	ADV
ejpam-975	352	2	λb(x	λb(x	NUM
ejpam-975	352	3	,	,	PUNCT
ejpam-975	352	4	y)max{d	y)max{d	PROPN
ejpam-975	352	5	(	(	PUNCT
ejpam-975	352	6	f	f	PROPN
ejpam-975	352	7	xn	xn	PROPN
ejpam-975	352	8	,	,	PUNCT
ejpam-975	352	9	t	t	PROPN
ejpam-975	352	10	xn	xn	PROPN
ejpam-975	352	11	)	)	PUNCT
ejpam-975	352	12	,	,	PUNCT
ejpam-975	353	1	d	d	X
ejpam-975	353	2	(	(	PUNCT
ejpam-975	353	3	f	f	PROPN
ejpam-975	353	4	xn+1	xn+1	PROPN
ejpam-975	353	5	,	,	PUNCT
ejpam-975	353	6	t	t	PROPN
ejpam-975	353	7	xn+1	xn+1	NUM
ejpam-975	353	8	)	)	PUNCT
ejpam-975	353	9	}	}	PUNCT
ejpam-975	354	1	+	+	NOUN
ejpam-975	354	2	λc(x	λc(x	X
ejpam-975	354	3	,	,	PUNCT
ejpam-975	354	4	y)max{d	y)max{d	PROPN
ejpam-975	354	5	(	(	PUNCT
ejpam-975	354	6	f	f	PROPN
ejpam-975	354	7	xn	xn	PROPN
ejpam-975	354	8	,	,	PUNCT
ejpam-975	354	9	f	f	PROPN
ejpam-975	354	10	xn+1	xn+1	NUM
ejpam-975	354	11	)	)	PUNCT
ejpam-975	354	12	,	,	PUNCT
ejpam-975	355	1	d	d	X
ejpam-975	355	2	(	(	PUNCT
ejpam-975	355	3	f	f	PROPN
ejpam-975	355	4	xn	xn	PROPN
ejpam-975	355	5	,	,	PUNCT
ejpam-975	355	6	t	t	PROPN
ejpam-975	355	7	xn	xn	PROPN
ejpam-975	355	8	)	)	PUNCT
ejpam-975	355	9	,	,	PUNCT
ejpam-975	356	1	d	d	X
ejpam-975	356	2	(	(	PUNCT
ejpam-975	356	3	f	f	PROPN
ejpam-975	356	4	xn+1	xn+1	PROPN
ejpam-975	356	5	,	,	PUNCT
ejpam-975	356	6	t	t	PROPN
ejpam-975	356	7	xn+1	xn+1	NUM
ejpam-975	356	8	)	)	PUNCT
ejpam-975	356	9	}	}	PUNCT
ejpam-975	357	1	+	+	ADP
ejpam-975	357	2	λe(x	λe(x	PRON
ejpam-975	357	3	,	,	PUNCT
ejpam-975	357	4	y)max{d	y)max{d	PROPN
ejpam-975	357	5	(	(	PUNCT
ejpam-975	357	6	f	f	PROPN
ejpam-975	357	7	xn	xn	PROPN
ejpam-975	357	8	,	,	PUNCT
ejpam-975	357	9	f	f	PROPN
ejpam-975	357	10	xn+1	xn+1	NUM
ejpam-975	357	11	)	)	PUNCT
ejpam-975	357	12	,	,	PUNCT
ejpam-975	358	1	d	d	X
ejpam-975	358	2	(	(	PUNCT
ejpam-975	358	3	f	f	PROPN
ejpam-975	358	4	xn	xn	PROPN
ejpam-975	358	5	,	,	PUNCT
ejpam-975	358	6	t	t	PROPN
ejpam-975	358	7	xn	xn	PROPN
ejpam-975	358	8	)	)	PUNCT
ejpam-975	358	9	,	,	PUNCT
ejpam-975	359	1	d	d	X
ejpam-975	359	2	(	(	PUNCT
ejpam-975	359	3	f	f	PROPN
ejpam-975	359	4	xn+1	xn+1	PROPN
ejpam-975	359	5	,	,	PUNCT
ejpam-975	359	6	t	t	PROPN
ejpam-975	359	7	xn+1	xn+1	NUM
ejpam-975	359	8	)	)	PUNCT
ejpam-975	359	9	,	,	PUNCT
ejpam-975	360	1	d	d	X
ejpam-975	360	2	(	(	PUNCT
ejpam-975	360	3	f	f	PROPN
ejpam-975	360	4	xn	xn	PROPN
ejpam-975	360	5	,	,	PUNCT
ejpam-975	360	6	t	t	PROPN
ejpam-975	360	7	xn+1	xn+1	NUM
ejpam-975	360	8	)	)	PUNCT
ejpam-975	360	9	}	}	PUNCT
ejpam-975	360	10	≤	≤	NUM
ejpam-975	360	11	λad(yn	λad(yn	X
ejpam-975	360	12	,	,	PUNCT
ejpam-975	360	13	yn+1	yn+1	X
ejpam-975	360	14	)	)	PUNCT
ejpam-975	360	15	+	+	ADP
ejpam-975	360	16	λb	λb	NOUN
ejpam-975	360	17	max{d(yn	max{d(yn	NOUN
ejpam-975	360	18	,	,	PUNCT
ejpam-975	360	19	yn+1	yn+1	NUM
ejpam-975	360	20	)	)	PUNCT
ejpam-975	360	21	,	,	PUNCT
ejpam-975	360	22	d(yn+1	d(yn+1	PROPN
ejpam-975	360	23	,	,	PUNCT
ejpam-975	360	24	yn+2	yn+2	NUM
ejpam-975	360	25	)	)	PUNCT
ejpam-975	360	26	}	}	PUNCT
ejpam-975	361	1	+	+	ADP
ejpam-975	361	2	λc	λc	X
ejpam-975	361	3	max{d(yn	max{d(yn	NOUN
ejpam-975	361	4	,	,	PUNCT
ejpam-975	361	5	yn+1	yn+1	NUM
ejpam-975	361	6	)	)	PUNCT
ejpam-975	361	7	,	,	PUNCT
ejpam-975	361	8	d(yn	d(yn	PROPN
ejpam-975	361	9	,	,	PUNCT
ejpam-975	361	10	yn+1	yn+1	NUM
ejpam-975	361	11	)	)	PUNCT
ejpam-975	361	12	,	,	PUNCT
ejpam-975	361	13	d(yn+1	d(yn+1	PROPN
ejpam-975	361	14	,	,	PUNCT
ejpam-975	361	15	yn+2	yn+2	NUM
ejpam-975	361	16	)	)	PUNCT
ejpam-975	361	17	}	}	PUNCT
ejpam-975	362	1	+	+	ADP
ejpam-975	362	2	λe	λe	ADP
ejpam-975	362	3	max{d(yn	max{d(yn	NOUN
ejpam-975	362	4	,	,	PUNCT
ejpam-975	362	5	yn+1	yn+1	NUM
ejpam-975	362	6	)	)	PUNCT
ejpam-975	362	7	,	,	PUNCT
ejpam-975	362	8	d(yn	d(yn	PROPN
ejpam-975	362	9	,	,	PUNCT
ejpam-975	362	10	yn+1	yn+1	NUM
ejpam-975	362	11	)	)	PUNCT
ejpam-975	362	12	,	,	PUNCT
ejpam-975	362	13	d(yn+1	d(yn+1	PROPN
ejpam-975	362	14	,	,	PUNCT
ejpam-975	362	15	yn+2	yn+2	NUM
ejpam-975	362	16	)	)	PUNCT
ejpam-975	362	17	,	,	PUNCT
ejpam-975	362	18	d(yn	d(yn	PROPN
ejpam-975	362	19	,	,	PUNCT
ejpam-975	362	20	yn+2	yn+2	NUM
ejpam-975	362	21	)	)	PUNCT
ejpam-975	362	22	}	}	PUNCT
ejpam-975	363	1	if	if	SCONJ
ejpam-975	363	2	there	there	PRON
ejpam-975	363	3	exists	exist	VERB
ejpam-975	363	4	an	an	DET
ejpam-975	363	5	n	n	NOUN
ejpam-975	363	6	such	such	ADJ
ejpam-975	363	7	that	that	PRON
ejpam-975	363	8	d(yn+1	d(yn+1	PROPN
ejpam-975	363	9	,	,	PUNCT
ejpam-975	363	10	yn+2	yn+2	NUM
ejpam-975	363	11	)	)	PUNCT
ejpam-975	363	12	>	>	X
ejpam-975	364	1	d(yn	d(yn	PROPN
ejpam-975	364	2	,	,	PUNCT
ejpam-975	364	3	yn+1	yn+1	NUM
ejpam-975	364	4	)	)	PUNCT
ejpam-975	364	5	,	,	PUNCT
ejpam-975	364	6	we	we	PRON
ejpam-975	364	7	have	have	AUX
ejpam-975	364	8	d(yn+1	d(yn+1	PROPN
ejpam-975	364	9	,	,	PUNCT
ejpam-975	364	10	yn+2	yn+2	NUM
ejpam-975	364	11	)	)	PUNCT
ejpam-975	364	12	<	<	X
ejpam-975	364	13	λ(a+	λ(a+	NOUN
ejpam-975	364	14	b+	b+	X
ejpam-975	364	15	c	c	NOUN
ejpam-975	364	16	+	+	SYM
ejpam-975	364	17	2e)d(yn+1	2e)d(yn+1	NUM
ejpam-975	364	18	,	,	PUNCT
ejpam-975	364	19	yn+2	yn+2	NUM
ejpam-975	364	20	)	)	PUNCT
ejpam-975	364	21	a	a	DET
ejpam-975	364	22	contradiction	contradiction	NOUN
ejpam-975	364	23	.	.	PUNCT
ejpam-975	365	1	therefore	therefore	ADV
ejpam-975	365	2	for	for	ADP
ejpam-975	365	3	all	all	DET
ejpam-975	365	4	n	n	PRON
ejpam-975	365	5	we	we	PRON
ejpam-975	365	6	get	get	VERB
ejpam-975	365	7	d	d	X
ejpam-975	365	8	�	�	PROPN
ejpam-975	365	9	yn+1	yn+1	PROPN
ejpam-975	365	10	,	,	PUNCT
ejpam-975	365	11	yn+2	yn+2	PROPN
ejpam-975	365	12	�	�	PROPN
ejpam-975	365	13	≤	≤	PROPN
ejpam-975	365	14	d	d	PROPN
ejpam-975	365	15	�	�	PROPN
ejpam-975	365	16	yn	yn	PROPN
ejpam-975	365	17	,	,	PUNCT
ejpam-975	365	18	yn+1	yn+1	PROPN
ejpam-975	365	19	�	�	PROPN
ejpam-975	365	20	and	and	CCONJ
ejpam-975	365	21	we	we	PRON
ejpam-975	365	22	obtain	obtain	VERB
ejpam-975	365	23	d(yn+1	d(yn+1	ADJ
ejpam-975	365	24	,	,	PUNCT
ejpam-975	366	1	yn+2)≤	yn+2)≤	PROPN
ejpam-975	366	2	λad(yn	λad(yn	NOUN
ejpam-975	366	3	,	,	PUNCT
ejpam-975	366	4	yn+1)+λbd(yn	yn+1)+λbd(yn	ADJ
ejpam-975	366	5	,	,	PUNCT
ejpam-975	366	6	yn+1	yn+1	X
ejpam-975	366	7	)	)	PUNCT
ejpam-975	366	8	+	+	NOUN
ejpam-975	366	9	λcd(yn	λcd(yn	X
ejpam-975	366	10	,	,	PUNCT
ejpam-975	366	11	yn+1	yn+1	X
ejpam-975	366	12	)	)	PUNCT
ejpam-975	366	13	+	+	CCONJ
ejpam-975	366	14	2λed(yn	2λed(yn	NUM
ejpam-975	366	15	,	,	PUNCT
ejpam-975	366	16	yn+1	yn+1	NUM
ejpam-975	366	17	)	)	PUNCT
ejpam-975	366	18	≤	≤	NOUN
ejpam-975	366	19	λ(a+	λ(a+	NOUN
ejpam-975	366	20	b+	b+	X
ejpam-975	366	21	c	c	NOUN
ejpam-975	366	22	+	+	CCONJ
ejpam-975	366	23	2e)d(yn	2e)d(yn	NUM
ejpam-975	366	24	,	,	PUNCT
ejpam-975	366	25	yn+1	yn+1	NUM
ejpam-975	366	26	)	)	PUNCT
ejpam-975	366	27	≤	≤	NOUN
ejpam-975	367	1	kd(yn	kd(yn	NOUN
ejpam-975	367	2	,	,	PUNCT
ejpam-975	367	3	yn+1)≤	yn+1)≤	PROPN
ejpam-975	368	1	knd(y0	knd(y0	PROPN
ejpam-975	368	2	,	,	PUNCT
ejpam-975	368	3	y1	y1	PROPN
ejpam-975	368	4	)	)	PUNCT
ejpam-975	368	5	where	where	SCONJ
ejpam-975	368	6	k	k	NOUN
ejpam-975	368	7	=	=	PUNCT
ejpam-975	368	8	sup	sup	PROPN
ejpam-975	368	9	x	x	NOUN
ejpam-975	368	10	,	,	PUNCT
ejpam-975	368	11	y∈x	y∈x	NOUN
ejpam-975	368	12	λ(a+	λ(a+	NOUN
ejpam-975	368	13	b+	b+	X
ejpam-975	368	14	c	c	NOUN
ejpam-975	368	15	+	+	CCONJ
ejpam-975	368	16	2e	2e	NUM
ejpam-975	368	17	)	)	PUNCT
ejpam-975	368	18	therefore	therefore	ADV
ejpam-975	368	19	{	{	PUNCT
ejpam-975	368	20	yn	yn	NOUN
ejpam-975	368	21	}	}	PUNCT
ejpam-975	368	22	is	be	AUX
ejpam-975	368	23	cauchy	cauchy	NOUN
ejpam-975	368	24	,	,	PUNCT
ejpam-975	368	25	hence	hence	ADV
ejpam-975	368	26	convergent	convergent	ADJ
ejpam-975	368	27	to	to	ADP
ejpam-975	368	28	some	some	DET
ejpam-975	368	29	point	point	NOUN
ejpam-975	368	30	p	p	NOUN
ejpam-975	368	31	in	in	ADP
ejpam-975	368	32	x	x	X
ejpam-975	368	33	.	.	PUNCT
ejpam-975	369	1	since	since	SCONJ
ejpam-975	369	2	f	f	PROPN
ejpam-975	369	3	is	be	AUX
ejpam-975	369	4	surjective	surjective	ADJ
ejpam-975	369	5	,	,	PUNCT
ejpam-975	369	6	there	there	PRON
ejpam-975	369	7	exists	exist	VERB
ejpam-975	369	8	a	a	DET
ejpam-975	369	9	z	z	NOUN
ejpam-975	369	10	such	such	ADJ
ejpam-975	369	11	that	that	SCONJ
ejpam-975	369	12	f	f	PROPN
ejpam-975	369	13	z	z	PROPN
ejpam-975	369	14	=	=	PUNCT
ejpam-975	370	1	p.	p.	NOUN
ejpam-975	370	2	now	now	ADV
ejpam-975	371	1	d	d	INTJ
ejpam-975	371	2	(	(	PUNCT
ejpam-975	371	3	f	f	PROPN
ejpam-975	371	4	z	z	PROPN
ejpam-975	371	5	,	,	PUNCT
ejpam-975	371	6	tz	tz	PROPN
ejpam-975	371	7	)	)	PUNCT
ejpam-975	371	8	≤	≤	NOUN
ejpam-975	372	1	d	d	X
ejpam-975	372	2	(	(	PUNCT
ejpam-975	372	3	f	f	PROPN
ejpam-975	372	4	z	z	PROPN
ejpam-975	372	5	,	,	PUNCT
ejpam-975	372	6	f	f	PROPN
ejpam-975	372	7	xn+1	xn+1	X
ejpam-975	372	8	)	)	PUNCT
ejpam-975	373	1	+	+	CCONJ
ejpam-975	374	1	d	d	X
ejpam-975	374	2	(	(	PUNCT
ejpam-975	374	3	f	f	PROPN
ejpam-975	374	4	xn+1	xn+1	PROPN
ejpam-975	374	5	,	,	PUNCT
ejpam-975	374	6	tz	tz	NOUN
ejpam-975	374	7	)	)	PUNCT
ejpam-975	374	8	≤	≤	NOUN
ejpam-975	375	1	d	d	X
ejpam-975	375	2	(	(	PUNCT
ejpam-975	375	3	f	f	PROPN
ejpam-975	375	4	z	z	PROPN
ejpam-975	375	5	,	,	PUNCT
ejpam-975	375	6	f	f	PROPN
ejpam-975	375	7	xn+1	xn+1	X
ejpam-975	375	8	)	)	PUNCT
ejpam-975	376	1	+	+	VERB
ejpam-975	376	2	h(t	h(t	PROPN
ejpam-975	376	3	xn	xn	PROPN
ejpam-975	376	4	,	,	PUNCT
ejpam-975	376	5	tz	tz	PROPN
ejpam-975	376	6	)	)	PUNCT
ejpam-975	376	7	≤	≤	NOUN
ejpam-975	377	1	d	d	X
ejpam-975	377	2	(	(	PUNCT
ejpam-975	377	3	f	f	PROPN
ejpam-975	377	4	z	z	PROPN
ejpam-975	377	5	,	,	PUNCT
ejpam-975	377	6	f	f	PROPN
ejpam-975	377	7	xn+1	xn+1	X
ejpam-975	377	8	)	)	PUNCT
ejpam-975	378	1	+	+	CCONJ
ejpam-975	378	2	ad	ad	NOUN
ejpam-975	378	3	(	(	PUNCT
ejpam-975	378	4	f	f	PROPN
ejpam-975	378	5	xn	xn	PROPN
ejpam-975	378	6	,	,	PUNCT
ejpam-975	378	7	f	f	PROPN
ejpam-975	378	8	z	z	PROPN
ejpam-975	378	9	)	)	PUNCT
ejpam-975	379	1	+	+	CCONJ
ejpam-975	379	2	b	b	X
ejpam-975	379	3	max{d	max{d	PROPN
ejpam-975	379	4	(	(	PUNCT
ejpam-975	379	5	f	f	PROPN
ejpam-975	379	6	xn	xn	PROPN
ejpam-975	379	7	,	,	PUNCT
ejpam-975	379	8	t	t	PROPN
ejpam-975	379	9	xn	xn	PROPN
ejpam-975	379	10	)	)	PUNCT
ejpam-975	379	11	,	,	PUNCT
ejpam-975	380	1	d	d	X
ejpam-975	380	2	(	(	PUNCT
ejpam-975	380	3	f	f	PROPN
ejpam-975	380	4	z	z	PROPN
ejpam-975	380	5	,	,	PUNCT
ejpam-975	380	6	tz	tz	PROPN
ejpam-975	380	7	)	)	PUNCT
ejpam-975	380	8	}	}	PUNCT
ejpam-975	381	1	+	+	CCONJ
ejpam-975	381	2	c	c	NOUN
ejpam-975	381	3	max{d	max{d	PROPN
ejpam-975	381	4	(	(	PUNCT
ejpam-975	381	5	f	f	PROPN
ejpam-975	381	6	xn	xn	PROPN
ejpam-975	381	7	,	,	PUNCT
ejpam-975	381	8	f	f	PROPN
ejpam-975	381	9	z	z	PROPN
ejpam-975	381	10	)	)	PUNCT
ejpam-975	381	11	,	,	PUNCT
ejpam-975	382	1	d	d	PROPN
ejpam-975	382	2	(	(	PUNCT
ejpam-975	382	3	f	f	PROPN
ejpam-975	382	4	xn	xn	PROPN
ejpam-975	382	5	,	,	PUNCT
ejpam-975	382	6	t	t	PROPN
ejpam-975	382	7	xn	xn	PROPN
ejpam-975	382	8	)	)	PUNCT
ejpam-975	382	9	,	,	PUNCT
ejpam-975	383	1	d	d	X
ejpam-975	383	2	(	(	PUNCT
ejpam-975	383	3	f	f	PROPN
ejpam-975	383	4	z	z	PROPN
ejpam-975	383	5	,	,	PUNCT
ejpam-975	383	6	tz	tz	PROPN
ejpam-975	383	7	)	)	PUNCT
ejpam-975	383	8	}	}	PUNCT
ejpam-975	384	1	+	+	CCONJ
ejpam-975	384	2	e	e	X
ejpam-975	384	3	max{d	max{d	PROPN
ejpam-975	384	4	(	(	PUNCT
ejpam-975	384	5	f	f	PROPN
ejpam-975	384	6	xn	xn	PROPN
ejpam-975	384	7	,	,	PUNCT
ejpam-975	384	8	f	f	PROPN
ejpam-975	384	9	z	z	PROPN
ejpam-975	384	10	)	)	PUNCT
ejpam-975	384	11	,	,	PUNCT
ejpam-975	385	1	d	d	PROPN
ejpam-975	385	2	(	(	PUNCT
ejpam-975	385	3	f	f	PROPN
ejpam-975	385	4	xn	xn	PROPN
ejpam-975	385	5	,	,	PUNCT
ejpam-975	385	6	t	t	PROPN
ejpam-975	385	7	xn	xn	PROPN
ejpam-975	385	8	)	)	PUNCT
ejpam-975	385	9	,	,	PUNCT
ejpam-975	386	1	d	d	X
ejpam-975	386	2	(	(	PUNCT
ejpam-975	386	3	f	f	PROPN
ejpam-975	386	4	z	z	PROPN
ejpam-975	386	5	,	,	PUNCT
ejpam-975	386	6	tz	tz	PROPN
ejpam-975	386	7	)	)	PUNCT
ejpam-975	386	8	,	,	PUNCT
ejpam-975	387	1	d	d	PROPN
ejpam-975	387	2	(	(	PUNCT
ejpam-975	387	3	f	f	PROPN
ejpam-975	387	4	xn	xn	PROPN
ejpam-975	387	5	,	,	PUNCT
ejpam-975	387	6	tz	tz	NOUN
ejpam-975	387	7	)	)	PUNCT
ejpam-975	387	8	}	}	PUNCT
ejpam-975	387	9	≤	≤	NUM
ejpam-975	388	1	d	d	X
ejpam-975	388	2	(	(	PUNCT
ejpam-975	388	3	f	f	PROPN
ejpam-975	388	4	z	z	PROPN
ejpam-975	388	5	,	,	PUNCT
ejpam-975	388	6	f	f	PROPN
ejpam-975	388	7	xn+1	xn+1	X
ejpam-975	388	8	)	)	PUNCT
ejpam-975	389	1	+	+	CCONJ
ejpam-975	389	2	sup	sup	NOUN
ejpam-975	389	3	x	x	SYM
ejpam-975	389	4	,	,	PUNCT
ejpam-975	389	5	y∈x	y∈x	NOUN
ejpam-975	389	6	ad	ad	NOUN
ejpam-975	389	7	(	(	PUNCT
ejpam-975	389	8	f	f	PROPN
ejpam-975	389	9	xn	xn	PROPN
ejpam-975	389	10	,	,	PUNCT
ejpam-975	389	11	f	f	PROPN
ejpam-975	389	12	z	z	PROPN
ejpam-975	389	13	)	)	PUNCT
ejpam-975	390	1	+	+	CCONJ
ejpam-975	390	2	sup	sup	NOUN
ejpam-975	390	3	x	x	PUNCT
ejpam-975	390	4	,	,	PUNCT
ejpam-975	390	5	y∈x	y∈x	NOUN
ejpam-975	390	6	(	(	PUNCT
ejpam-975	390	7	b+	b+	NUM
ejpam-975	391	1	c	c	X
ejpam-975	391	2	+	+	CCONJ
ejpam-975	391	3	e)max{max{d	e)max{max{d	PROPN
ejpam-975	391	4	(	(	PUNCT
ejpam-975	391	5	f	f	PROPN
ejpam-975	391	6	xn	xn	PROPN
ejpam-975	391	7	,	,	PUNCT
ejpam-975	391	8	t	t	PROPN
ejpam-975	391	9	xn	xn	PROPN
ejpam-975	391	10	)	)	PUNCT
ejpam-975	391	11	,	,	PUNCT
ejpam-975	392	1	d	d	X
ejpam-975	392	2	(	(	PUNCT
ejpam-975	392	3	f	f	PROPN
ejpam-975	392	4	z	z	PROPN
ejpam-975	392	5	,	,	PUNCT
ejpam-975	392	6	tz	tz	PROPN
ejpam-975	392	7	)	)	PUNCT
ejpam-975	392	8	}	}	PUNCT
ejpam-975	392	9	,	,	PUNCT
ejpam-975	392	10	max{d	max{d	PROPN
ejpam-975	392	11	(	(	PUNCT
ejpam-975	392	12	f	f	PROPN
ejpam-975	392	13	xn	xn	PROPN
ejpam-975	392	14	,	,	PUNCT
ejpam-975	392	15	f	f	PROPN
ejpam-975	392	16	z	z	PROPN
ejpam-975	392	17	)	)	PUNCT
ejpam-975	392	18	,	,	PUNCT
ejpam-975	393	1	d	d	PROPN
ejpam-975	393	2	(	(	PUNCT
ejpam-975	393	3	f	f	PROPN
ejpam-975	393	4	xn	xn	PROPN
ejpam-975	393	5	,	,	PUNCT
ejpam-975	393	6	t	t	PROPN
ejpam-975	393	7	xn	xn	PROPN
ejpam-975	393	8	)	)	PUNCT
ejpam-975	393	9	,	,	PUNCT
ejpam-975	394	1	d	d	X
ejpam-975	394	2	(	(	PUNCT
ejpam-975	394	3	f	f	PROPN
ejpam-975	394	4	z	z	PROPN
ejpam-975	394	5	,	,	PUNCT
ejpam-975	394	6	tz	tz	PROPN
ejpam-975	394	7	)	)	PUNCT
ejpam-975	394	8	}	}	PUNCT
ejpam-975	394	9	,	,	PUNCT
ejpam-975	394	10	max{d	max{d	PROPN
ejpam-975	394	11	(	(	PUNCT
ejpam-975	394	12	f	f	PROPN
ejpam-975	394	13	xn	xn	PROPN
ejpam-975	394	14	,	,	PUNCT
ejpam-975	394	15	f	f	PROPN
ejpam-975	394	16	z	z	PROPN
ejpam-975	394	17	)	)	PUNCT
ejpam-975	394	18	,	,	PUNCT
ejpam-975	395	1	d	d	PROPN
ejpam-975	395	2	(	(	PUNCT
ejpam-975	395	3	f	f	PROPN
ejpam-975	395	4	xn	xn	PROPN
ejpam-975	395	5	,	,	PUNCT
ejpam-975	395	6	t	t	PROPN
ejpam-975	395	7	xn	xn	PROPN
ejpam-975	395	8	)	)	PUNCT
ejpam-975	395	9	,	,	PUNCT
ejpam-975	396	1	d	d	X
ejpam-975	396	2	(	(	PUNCT
ejpam-975	396	3	f	f	PROPN
ejpam-975	396	4	z	z	PROPN
ejpam-975	396	5	,	,	PUNCT
ejpam-975	396	6	tz	tz	PROPN
ejpam-975	396	7	)	)	PUNCT
ejpam-975	396	8	,	,	PUNCT
ejpam-975	397	1	d	d	PROPN
ejpam-975	397	2	(	(	PUNCT
ejpam-975	397	3	f	f	PROPN
ejpam-975	397	4	xn	xn	PROPN
ejpam-975	397	5	,	,	PUNCT
ejpam-975	397	6	tz	tz	PROPN
ejpam-975	397	7	)	)	PUNCT
ejpam-975	397	8	}	}	PUNCT
ejpam-975	397	9	}	}	PUNCT
ejpam-975	397	10	taking	take	VERB
ejpam-975	397	11	limit	limit	NOUN
ejpam-975	397	12	as	as	SCONJ
ejpam-975	397	13	n→∞	n→∞	NUM
ejpam-975	397	14	we	we	PRON
ejpam-975	397	15	get	get	VERB
ejpam-975	397	16	d	d	X
ejpam-975	397	17	�	�	PROPN
ejpam-975	397	18	f	f	PROPN
ejpam-975	397	19	z	z	PROPN
ejpam-975	397	20	,	,	PUNCT
ejpam-975	397	21	tz	tz	PROPN
ejpam-975	397	22	�	�	PROPN
ejpam-975	397	23	≤	≤	PROPN
ejpam-975	397	24	supx	supx	PROPN
ejpam-975	397	25	,	,	PUNCT
ejpam-975	397	26	y∈x	y∈x	NOUN
ejpam-975	397	27	(	(	PUNCT
ejpam-975	397	28	b+	b+	NOUN
ejpam-975	397	29	c	c	X
ejpam-975	397	30	+	+	CCONJ
ejpam-975	397	31	e	e	X
ejpam-975	397	32	)	)	PUNCT
ejpam-975	397	33	d	d	X
ejpam-975	397	34	�	�	PROPN
ejpam-975	397	35	f	f	PROPN
ejpam-975	397	36	z	z	PROPN
ejpam-975	397	37	,	,	PUNCT
ejpam-975	397	38	tz	tz	PROPN
ejpam-975	397	39	�	�	PROPN
ejpam-975	397	40	implies	imply	VERB
ejpam-975	397	41	that	that	SCONJ
ejpam-975	397	42	f	f	PROPN
ejpam-975	397	43	z	z	PROPN
ejpam-975	397	44	∈	∈	PROPN
ejpam-975	397	45	tz	tz	PROPN
ejpam-975	397	46	.	.	PUNCT
ejpam-975	397	47	references	reference	NOUN
ejpam-975	397	48	339	339	NUM
ejpam-975	397	49	references	reference	NOUN
ejpam-975	397	50	[	[	X
ejpam-975	397	51	1	1	NUM
ejpam-975	397	52	]	]	PUNCT
ejpam-975	397	53	r.	r.	PROPN
ejpam-975	397	54	chandel	chandel	PROPN
ejpam-975	397	55	and	and	CCONJ
ejpam-975	397	56	a.	a.	PROPN
ejpam-975	397	57	ganguly	ganguly	PROPN
ejpam-975	397	58	,	,	PUNCT
ejpam-975	397	59	bull	bull	NOUN
ejpam-975	397	60	.	.	PUNCT
ejpam-975	398	1	calcutta	calcutta	PROPN
ejpam-975	398	2	math	math	PROPN
ejpam-975	398	3	.	.	PUNCT
ejpam-975	399	1	soc	soc	PROPN
ejpam-975	399	2	.	.	PROPN
ejpam-975	399	3	,	,	PUNCT
ejpam-975	399	4	32:193	32:193	NUM
ejpam-975	399	5	-	-	SYM
ejpam-975	399	6	198,1990	198,1990	NUM
ejpam-975	399	7	.	.	PUNCT
ejpam-975	400	1	[	[	X
ejpam-975	400	2	2	2	NUM
ejpam-975	400	3	]	]	PUNCT
ejpam-975	400	4	m.	m.	NOUN
ejpam-975	400	5	chandra	chandra	PROPN
ejpam-975	400	6	,	,	PUNCT
ejpam-975	400	7	s.	s.	PROPN
ejpam-975	400	8	mishra	mishra	PROPN
ejpam-975	400	9	,	,	PUNCT
ejpam-975	400	10	s.	s.	PROPN
ejpam-975	400	11	singh	singh	PROPN
ejpam-975	400	12	and	and	CCONJ
ejpam-975	400	13	b.	b.	PROPN
ejpam-975	400	14	rhoades	rhoades	PROPN
ejpam-975	400	15	,	,	PUNCT
ejpam-975	400	16	coincidence	coincidence	NOUN
ejpam-975	400	17	and	and	CCONJ
ejpam-975	400	18	fixed	fix	VERB
ejpam-975	400	19	points	point	NOUN
ejpam-975	400	20	of	of	ADP
ejpam-975	400	21	nonexpansive	nonexpansive	ADJ
ejpam-975	400	22	type	type	NOUN
ejpam-975	400	23	multi	multi	ADJ
ejpam-975	400	24	-	-	ADJ
ejpam-975	400	25	valued	value	VERB
ejpam-975	400	26	and	and	CCONJ
ejpam-975	400	27	single	single	ADV
ejpam-975	400	28	-	-	PUNCT
ejpam-975	400	29	valued	value	VERB
ejpam-975	400	30	maps	map	NOUN
ejpam-975	400	31	,	,	PUNCT
ejpam-975	400	32	indian	indian	PROPN
ejpam-975	400	33	j.	j.	PROPN
ejpam-975	400	34	pure	pure	PROPN
ejpam-975	400	35	appl	appl	PROPN
ejpam-975	400	36	.	.	PUNCT
ejpam-975	400	37	math	math	PROPN
ejpam-975	400	38	.	.	PUNCT
ejpam-975	400	39	,26(5):393	,26(5):393	PROPN
ejpam-975	400	40	-	-	PUNCT
ejpam-975	400	41	401,1995	401,1995	NOUN
ejpam-975	400	42	.	.	PUNCT
ejpam-975	401	1	[	[	X
ejpam-975	401	2	3	3	X
ejpam-975	401	3	]	]	X
ejpam-975	401	4	lj	lj	PROPN
ejpam-975	401	5	.	.	PUNCT
ejpam-975	401	6	ćirić	ćirić	PROPN
ejpam-975	401	7	,	,	PUNCT
ejpam-975	401	8	fixed	fix	VERB
ejpam-975	401	9	points	point	NOUN
ejpam-975	401	10	for	for	ADP
ejpam-975	401	11	generalized	generalized	ADJ
ejpam-975	401	12	multi	multi	ADJ
ejpam-975	401	13	-	-	ADJ
ejpam-975	401	14	valued	value	VERB
ejpam-975	401	15	contractions	contraction	NOUN
ejpam-975	401	16	,	,	PUNCT
ejpam-975	401	17	mat	mat	NOUN
ejpam-975	401	18	.	.	PROPN
ejpam-975	401	19	vesnik	vesnik	PROPN
ejpam-975	401	20	,	,	PUNCT
ejpam-975	401	21	9:265272,1972	9:265272,1972	NUM
ejpam-975	401	22	.	.	PUNCT
ejpam-975	402	1	[	[	X
ejpam-975	402	2	4	4	X
ejpam-975	402	3	]	]	X
ejpam-975	402	4	lj	lj	PROPN
ejpam-975	402	5	.	.	PUNCT
ejpam-975	402	6	ćirić	ćirić	PROPN
ejpam-975	402	7	,	,	PUNCT
ejpam-975	402	8	on	on	ADP
ejpam-975	402	9	some	some	DET
ejpam-975	402	10	nonexpansive	nonexpansive	ADJ
ejpam-975	402	11	type	type	NOUN
ejpam-975	402	12	mappings	mapping	NOUN
ejpam-975	402	13	and	and	CCONJ
ejpam-975	402	14	fixed	fix	VERB
ejpam-975	402	15	points	point	NOUN
ejpam-975	402	16	,	,	PUNCT
ejpam-975	402	17	indian	indian	PROPN
ejpam-975	402	18	j.	j.	PROPN
ejpam-975	402	19	pure	pure	PROPN
ejpam-975	402	20	appl	appl	PROPN
ejpam-975	402	21	.	.	PUNCT
ejpam-975	402	22	math	math	PROPN
ejpam-975	402	23	.	.	PUNCT
ejpam-975	402	24	,	,	PUNCT
ejpam-975	402	25	24(3):145	24(3):145	PROPN
ejpam-975	402	26	-	-	PUNCT
ejpam-975	402	27	149,1993	149,1993	NUM
ejpam-975	402	28	.	.	PUNCT
ejpam-975	403	1	[	[	X
ejpam-975	403	2	5	5	X
ejpam-975	403	3	]	]	PUNCT
ejpam-975	403	4	g.	g.	PROPN
ejpam-975	403	5	jungck	jungck	PROPN
ejpam-975	403	6	,	,	PUNCT
ejpam-975	403	7	compatible	compatible	ADJ
ejpam-975	403	8	mappings	mapping	NOUN
ejpam-975	403	9	and	and	CCONJ
ejpam-975	403	10	fixed	fix	VERB
ejpam-975	403	11	points	point	NOUN
ejpam-975	403	12	,	,	PUNCT
ejpam-975	403	13	int	int	NOUN
ejpam-975	403	14	.	.	PUNCT
ejpam-975	404	1	j.	j.	PROPN
ejpam-975	404	2	math	math	PROPN
ejpam-975	404	3	.	.	PUNCT
ejpam-975	404	4	&	&	CCONJ
ejpam-975	404	5	math	math	PROPN
ejpam-975	404	6	.	.	PUNCT
ejpam-975	405	1	sci	sci	PROPN
ejpam-975	405	2	.	.	PROPN
ejpam-975	405	3	,9(4):771779,1986	,9(4):771779,1986	PROPN
ejpam-975	405	4	.	.	PUNCT
ejpam-975	406	1	[	[	X
ejpam-975	406	2	6	6	NUM
ejpam-975	406	3	]	]	PUNCT
ejpam-975	406	4	h.	h.	PROPN
ejpam-975	406	5	kaneko	kaneko	PROPN
ejpam-975	406	6	and	and	CCONJ
ejpam-975	406	7	s.	s.	PROPN
ejpam-975	406	8	sessa	sessa	PROPN
ejpam-975	406	9	,	,	PUNCT
ejpam-975	406	10	fixed	fix	VERB
ejpam-975	406	11	point	point	NOUN
ejpam-975	406	12	theorem	theorem	VERB
ejpam-975	406	13	for	for	ADP
ejpam-975	406	14	compatible	compatible	ADJ
ejpam-975	406	15	multi	multi	ADJ
ejpam-975	406	16	-	-	ADJ
ejpam-975	406	17	valued	value	VERB
ejpam-975	406	18	and	and	CCONJ
ejpam-975	406	19	singlevalued	singlevalue	VERB
ejpam-975	406	20	mappings	mapping	NOUN
ejpam-975	406	21	,	,	PUNCT
ejpam-975	406	22	int	int	NOUN
ejpam-975	406	23	.	.	PUNCT
ejpam-975	407	1	j.	j.	PROPN
ejpam-975	407	2	math	math	PROPN
ejpam-975	407	3	.	.	PUNCT
ejpam-975	407	4	&	&	CCONJ
ejpam-975	407	5	math	math	PROPN
ejpam-975	407	6	.	.	PUNCT
ejpam-975	408	1	sci	sci	PROPN
ejpam-975	408	2	.	.	PROPN
ejpam-975	408	3	,	,	PUNCT
ejpam-975	408	4	12(2	12(2	NUM
ejpam-975	408	5	):	):	PUNCT
ejpam-975	408	6	257	257	NUM
ejpam-975	408	7	-	-	SYM
ejpam-975	408	8	262,1989	262,1989	NUM
ejpam-975	408	9	.	.	PUNCT
ejpam-975	409	1	[	[	X
ejpam-975	409	2	7	7	X
ejpam-975	409	3	]	]	X
ejpam-975	409	4	b.	b.	PROPN
ejpam-975	409	5	rhoades	rhoades	PROPN
ejpam-975	409	6	,	,	PUNCT
ejpam-975	409	7	s.	s.	PROPN
ejpam-975	409	8	singh	singh	PROPN
ejpam-975	409	9	and	and	CCONJ
ejpam-975	409	10	c.	c.	PROPN
ejpam-975	409	11	kulshrestha	kulshrestha	PROPN
ejpam-975	409	12	,	,	PUNCT
ejpam-975	409	13	coincidence	coincidence	NOUN
ejpam-975	409	14	theorems	theorem	NOUN
ejpam-975	409	15	for	for	ADP
ejpam-975	409	16	some	some	DET
ejpam-975	409	17	multi	multi	ADJ
ejpam-975	409	18	-	-	ADJ
ejpam-975	409	19	valued	value	VERB
ejpam-975	409	20	mappings	mapping	NOUN
ejpam-975	409	21	,	,	PUNCT
ejpam-975	409	22	int	int	NOUN
ejpam-975	409	23	.	.	PUNCT
ejpam-975	410	1	j.	j.	PROPN
ejpam-975	410	2	math	math	PROPN
ejpam-975	410	3	.	.	PUNCT
ejpam-975	410	4	&	&	CCONJ
ejpam-975	410	5	math	math	PROPN
ejpam-975	410	6	.	.	PUNCT
ejpam-975	411	1	sci	sci	PROPN
ejpam-975	411	2	.	.	PROPN
ejpam-975	411	3	,7:429	,7:429	PROPN
ejpam-975	411	4	-	-	PUNCT
ejpam-975	411	5	434,1984	434,1984	PROPN
ejpam-975	411	6	.	.	PUNCT