id	sid	tid	token	lemma	pos
ejpam-4126	1	1	european	european	PROPN
ejpam-4126	1	2	journal	journal	PROPN
ejpam-4126	1	3	of	of	ADP
ejpam-4126	1	4	pure	pure	ADJ
ejpam-4126	1	5	and	and	CCONJ
ejpam-4126	1	6	applied	apply	VERB
ejpam-4126	1	7	mathematics	mathematic	NOUN
ejpam-4126	1	8	vol	vol	NOUN
ejpam-4126	1	9	.	.	PUNCT
ejpam-4126	2	1	14	14	NUM
ejpam-4126	2	2	,	,	PUNCT
ejpam-4126	2	3	no	no	INTJ
ejpam-4126	2	4	.	.	NOUN
ejpam-4126	2	5	4	4	NUM
ejpam-4126	2	6	,	,	PUNCT
ejpam-4126	2	7	2021	2021	NUM
ejpam-4126	2	8	,	,	PUNCT
ejpam-4126	2	9	1350	1350	NUM
ejpam-4126	2	10	-	-	SYM
ejpam-4126	2	11	1366	1366	NUM
ejpam-4126	2	12	issn	issn	PROPN
ejpam-4126	2	13	1307	1307	NUM
ejpam-4126	2	14	-	-	SYM
ejpam-4126	2	15	5543	5543	NUM
ejpam-4126	2	16	–	–	PUNCT
ejpam-4126	3	1	ejpam.com	ejpam.com	X
ejpam-4126	3	2	published	publish	VERB
ejpam-4126	3	3	by	by	ADP
ejpam-4126	3	4	new	new	PROPN
ejpam-4126	3	5	york	york	PROPN
ejpam-4126	3	6	business	business	PROPN
ejpam-4126	3	7	global	global	ADJ
ejpam-4126	3	8	coincidence	coincidence	NOUN
ejpam-4126	3	9	and	and	CCONJ
ejpam-4126	3	10	common	common	ADJ
ejpam-4126	3	11	fixed	fix	VERB
ejpam-4126	3	12	point	point	NOUN
ejpam-4126	3	13	theorems	theorem	NOUN
ejpam-4126	3	14	in	in	ADP
ejpam-4126	3	15	gb	gb	NOUN
ejpam-4126	3	16	-	-	PUNCT
ejpam-4126	3	17	cone	cone	NOUN
ejpam-4126	3	18	metric	metric	ADJ
ejpam-4126	3	19	spaces	space	NOUN
ejpam-4126	3	20	saadia	saadia	PROPN
ejpam-4126	3	21	benchabane1,∗	benchabane1,∗	PROPN
ejpam-4126	3	22	,	,	PUNCT
ejpam-4126	3	23	smäıl	smäıl	NOUN
ejpam-4126	3	24	djebali1,2	djebali1,2	PROPN
ejpam-4126	3	25	1	1	NUM
ejpam-4126	3	26	laboratoire	laboratoire	PROPN
ejpam-4126	3	27	”	"	PUNCT
ejpam-4126	3	28	théorie	théorie	PROPN
ejpam-4126	3	29	du	du	PROPN
ejpam-4126	3	30	point	point	NOUN
ejpam-4126	3	31	fixe	fixe	PROPN
ejpam-4126	3	32	et	et	PROPN
ejpam-4126	3	33	applications	application	NOUN
ejpam-4126	3	34	”	"	PUNCT
ejpam-4126	3	35	,	,	PUNCT
ejpam-4126	3	36	ens	ens	PROPN
ejpam-4126	3	37	,	,	PUNCT
ejpam-4126	3	38	bp	bp	PROPN
ejpam-4126	3	39	92	92	NUM
ejpam-4126	3	40	kouba	kouba	PROPN
ejpam-4126	3	41	.	.	PUNCT
ejpam-4126	4	1	algiers	algiers	PROPN
ejpam-4126	4	2	,	,	PUNCT
ejpam-4126	4	3	16006	16006	NUM
ejpam-4126	4	4	.	.	PUNCT
ejpam-4126	5	1	algeria	algeria	PROPN
ejpam-4126	5	2	2	2	PROPN
ejpam-4126	5	3	department	department	NOUN
ejpam-4126	5	4	of	of	ADP
ejpam-4126	5	5	mathematics	mathematics	PROPN
ejpam-4126	5	6	&	&	CCONJ
ejpam-4126	5	7	statistics	statistics	PROPN
ejpam-4126	5	8	,	,	PUNCT
ejpam-4126	5	9	college	college	NOUN
ejpam-4126	5	10	of	of	ADP
ejpam-4126	5	11	sciences	science	NOUN
ejpam-4126	5	12	,	,	PUNCT
ejpam-4126	5	13	imam	imam	PROPN
ejpam-4126	5	14	mohammad	mohammad	PROPN
ejpam-4126	5	15	ibn	ibn	PROPN
ejpam-4126	5	16	saud	saud	PROPN
ejpam-4126	5	17	islamic	islamic	PROPN
ejpam-4126	5	18	university	university	PROPN
ejpam-4126	5	19	(	(	PUNCT
ejpam-4126	5	20	imsiu	imsiu	PROPN
ejpam-4126	5	21	)	)	PUNCT
ejpam-4126	5	22	,	,	PUNCT
ejpam-4126	5	23	pb	pb	ADP
ejpam-4126	5	24	90950	90950	NUM
ejpam-4126	5	25	.	.	PUNCT
ejpam-4126	6	1	riyadh	riyadh	PROPN
ejpam-4126	6	2	11623	11623	NUM
ejpam-4126	6	3	,	,	PUNCT
ejpam-4126	6	4	saudi	saudi	PROPN
ejpam-4126	6	5	arabia	arabia	PROPN
ejpam-4126	6	6	abstract	abstract	NOUN
ejpam-4126	6	7	.	.	PUNCT
ejpam-4126	7	1	in	in	ADP
ejpam-4126	7	2	this	this	DET
ejpam-4126	7	3	article	article	NOUN
ejpam-4126	7	4	,	,	PUNCT
ejpam-4126	7	5	some	some	DET
ejpam-4126	7	6	coincidence	coincidence	NOUN
ejpam-4126	7	7	and	and	CCONJ
ejpam-4126	7	8	common	common	ADJ
ejpam-4126	7	9	fixed	fix	VERB
ejpam-4126	7	10	point	point	NOUN
ejpam-4126	7	11	results	result	NOUN
ejpam-4126	7	12	were	be	AUX
ejpam-4126	7	13	obtained	obtain	VERB
ejpam-4126	7	14	for	for	ADP
ejpam-4126	7	15	four	four	NUM
ejpam-4126	7	16	mappings	mapping	NOUN
ejpam-4126	7	17	satisfying	satisfy	VERB
ejpam-4126	7	18	some	some	DET
ejpam-4126	7	19	special	special	ADJ
ejpam-4126	7	20	contractive	contractive	ADJ
ejpam-4126	7	21	conditions	condition	NOUN
ejpam-4126	7	22	and	and	CCONJ
ejpam-4126	7	23	defined	define	VERB
ejpam-4126	7	24	on	on	ADP
ejpam-4126	7	25	a	a	DET
ejpam-4126	7	26	gb	gb	NOUN
ejpam-4126	7	27	-	-	PUNCT
ejpam-4126	7	28	cone	cone	NOUN
ejpam-4126	7	29	metric	metric	ADJ
ejpam-4126	7	30	space	space	NOUN
ejpam-4126	7	31	(	(	PUNCT
ejpam-4126	7	32	with	with	ADP
ejpam-4126	7	33	or	or	CCONJ
ejpam-4126	7	34	without	without	ADP
ejpam-4126	7	35	the	the	DET
ejpam-4126	7	36	assumption	assumption	NOUN
ejpam-4126	7	37	of	of	ADP
ejpam-4126	7	38	normality	normality	NOUN
ejpam-4126	7	39	)	)	PUNCT
ejpam-4126	7	40	.	.	PUNCT
ejpam-4126	8	1	our	our	PRON
ejpam-4126	8	2	results	result	NOUN
ejpam-4126	8	3	generalize	generalize	VERB
ejpam-4126	8	4	recent	recent	ADJ
ejpam-4126	8	5	results	result	NOUN
ejpam-4126	8	6	in	in	ADP
ejpam-4126	8	7	the	the	DET
ejpam-4126	8	8	literature	literature	NOUN
ejpam-4126	8	9	.	.	PUNCT
ejpam-4126	9	1	two	two	NUM
ejpam-4126	9	2	illustrative	illustrative	ADJ
ejpam-4126	9	3	examples	example	NOUN
ejpam-4126	9	4	are	be	AUX
ejpam-4126	9	5	included	include	VERB
ejpam-4126	9	6	and	and	CCONJ
ejpam-4126	9	7	some	some	DET
ejpam-4126	9	8	consequences	consequence	NOUN
ejpam-4126	9	9	are	be	AUX
ejpam-4126	9	10	provided	provide	VERB
ejpam-4126	9	11	.	.	PUNCT
ejpam-4126	10	1	2020	2020	NUM
ejpam-4126	10	2	mathematics	mathematic	NOUN
ejpam-4126	10	3	subject	subject	NOUN
ejpam-4126	10	4	classifications	classification	NOUN
ejpam-4126	10	5	:	:	PUNCT
ejpam-4126	10	6	47h10	47h10	NUM
ejpam-4126	10	7	,	,	PUNCT
ejpam-4126	10	8	54e50	54e50	NUM
ejpam-4126	10	9	,	,	PUNCT
ejpam-4126	10	10	54h25	54h25	NUM
ejpam-4126	10	11	key	key	ADJ
ejpam-4126	10	12	words	word	NOUN
ejpam-4126	10	13	and	and	CCONJ
ejpam-4126	10	14	phrases	phrase	NOUN
ejpam-4126	10	15	:	:	PUNCT
ejpam-4126	10	16	coincidence	coincidence	NOUN
ejpam-4126	10	17	and	and	CCONJ
ejpam-4126	10	18	common	common	ADJ
ejpam-4126	10	19	fixed	fix	VERB
ejpam-4126	10	20	point	point	NOUN
ejpam-4126	10	21	,	,	PUNCT
ejpam-4126	10	22	gb	gb	NOUN
ejpam-4126	10	23	-	-	PUNCT
ejpam-4126	10	24	cone	cone	NOUN
ejpam-4126	10	25	metric	metric	ADJ
ejpam-4126	10	26	spaces	space	NOUN
ejpam-4126	10	27	.	.	PUNCT
ejpam-4126	11	1	1	1	X
ejpam-4126	11	2	.	.	X
ejpam-4126	11	3	introduction	introduction	NOUN
ejpam-4126	11	4	and	and	CCONJ
ejpam-4126	11	5	preliminaries	preliminary	NOUN
ejpam-4126	11	6	the	the	DET
ejpam-4126	11	7	notion	notion	NOUN
ejpam-4126	11	8	of	of	ADP
ejpam-4126	11	9	cone	cone	NOUN
ejpam-4126	11	10	metric	metric	ADJ
ejpam-4126	11	11	space	space	NOUN
ejpam-4126	11	12	is	be	AUX
ejpam-4126	11	13	an	an	DET
ejpam-4126	11	14	important	important	ADJ
ejpam-4126	11	15	generalization	generalization	NOUN
ejpam-4126	11	16	of	of	ADP
ejpam-4126	11	17	the	the	DET
ejpam-4126	11	18	classical	classical	ADJ
ejpam-4126	11	19	concept	concept	NOUN
ejpam-4126	11	20	of	of	ADP
ejpam-4126	11	21	metric	metric	NOUN
ejpam-4126	11	22	.	.	PUNCT
ejpam-4126	12	1	it	it	PRON
ejpam-4126	12	2	was	be	AUX
ejpam-4126	12	3	introduced	introduce	VERB
ejpam-4126	12	4	in	in	ADP
ejpam-4126	12	5	2007	2007	NUM
ejpam-4126	12	6	by	by	ADP
ejpam-4126	12	7	huang	huang	PROPN
ejpam-4126	12	8	and	and	CCONJ
ejpam-4126	12	9	zhang	zhang	PROPN
ejpam-4126	13	1	[	[	X
ejpam-4126	13	2	18	18	NUM
ejpam-4126	13	3	]	]	PUNCT
ejpam-4126	13	4	who	who	PRON
ejpam-4126	13	5	extended	extend	VERB
ejpam-4126	13	6	the	the	DET
ejpam-4126	13	7	banach	banach	NOUN
ejpam-4126	13	8	contraction	contraction	NOUN
ejpam-4126	13	9	principle	principle	NOUN
ejpam-4126	13	10	in	in	ADP
ejpam-4126	13	11	the	the	DET
ejpam-4126	13	12	setting	setting	NOUN
ejpam-4126	13	13	of	of	ADP
ejpam-4126	13	14	cone	cone	NOUN
ejpam-4126	13	15	metric	metric	ADJ
ejpam-4126	13	16	spaces	space	NOUN
ejpam-4126	13	17	.	.	PUNCT
ejpam-4126	14	1	their	their	PRON
ejpam-4126	14	2	result	result	NOUN
ejpam-4126	14	3	has	have	AUX
ejpam-4126	14	4	been	be	AUX
ejpam-4126	14	5	generalized	generalize	VERB
ejpam-4126	14	6	in	in	ADP
ejpam-4126	14	7	several	several	ADJ
ejpam-4126	14	8	directions	direction	NOUN
ejpam-4126	14	9	by	by	ADP
ejpam-4126	14	10	many	many	ADJ
ejpam-4126	14	11	authors	author	NOUN
ejpam-4126	14	12	(	(	PUNCT
ejpam-4126	14	13	see	see	VERB
ejpam-4126	14	14	,	,	PUNCT
ejpam-4126	14	15	e.g.	e.g.	ADV
ejpam-4126	14	16	,	,	PUNCT
ejpam-4126	14	17	[	[	X
ejpam-4126	14	18	14	14	NUM
ejpam-4126	14	19	]	]	PUNCT
ejpam-4126	14	20	,	,	PUNCT
ejpam-4126	14	21	[	[	X
ejpam-4126	14	22	8	8	NUM
ejpam-4126	14	23	]	]	PUNCT
ejpam-4126	14	24	,	,	PUNCT
ejpam-4126	14	25	[	[	X
ejpam-4126	14	26	5	5	NUM
ejpam-4126	14	27	]	]	PUNCT
ejpam-4126	14	28	,	,	PUNCT
ejpam-4126	15	1	[	[	X
ejpam-4126	15	2	1	1	NUM
ejpam-4126	15	3	]	]	PUNCT
ejpam-4126	15	4	,	,	PUNCT
ejpam-4126	15	5	[	[	X
ejpam-4126	15	6	4	4	NUM
ejpam-4126	15	7	]	]	PUNCT
ejpam-4126	15	8	,	,	PUNCT
ejpam-4126	15	9	[	[	X
ejpam-4126	15	10	12	12	NUM
ejpam-4126	15	11	]	]	PUNCT
ejpam-4126	15	12	,	,	PUNCT
ejpam-4126	15	13	[	[	X
ejpam-4126	15	14	17	17	NUM
ejpam-4126	15	15	]	]	PUNCT
ejpam-4126	15	16	)	)	PUNCT
ejpam-4126	15	17	and	and	CCONJ
ejpam-4126	15	18	there	there	PRON
ejpam-4126	15	19	has	have	AUX
ejpam-4126	15	20	been	be	AUX
ejpam-4126	15	21	a	a	DET
ejpam-4126	15	22	number	number	NOUN
ejpam-4126	15	23	of	of	ADP
ejpam-4126	15	24	generalizations	generalization	NOUN
ejpam-4126	15	25	of	of	ADP
ejpam-4126	15	26	the	the	DET
ejpam-4126	15	27	notion	notion	NOUN
ejpam-4126	15	28	of	of	ADP
ejpam-4126	15	29	a	a	DET
ejpam-4126	15	30	cone	cone	NOUN
ejpam-4126	15	31	metric	metric	ADJ
ejpam-4126	15	32	space	space	NOUN
ejpam-4126	15	33	.	.	PUNCT
ejpam-4126	16	1	one	one	NUM
ejpam-4126	16	2	such	such	ADJ
ejpam-4126	16	3	generalization	generalization	NOUN
ejpam-4126	16	4	is	be	AUX
ejpam-4126	16	5	that	that	PRON
ejpam-4126	16	6	of	of	ADP
ejpam-4126	16	7	the	the	DET
ejpam-4126	16	8	g	g	NOUN
ejpam-4126	16	9	-	-	PUNCT
ejpam-4126	16	10	cone	cone	NOUN
ejpam-4126	16	11	metric	metric	ADJ
ejpam-4126	16	12	space	space	NOUN
ejpam-4126	16	13	initiated	initiate	VERB
ejpam-4126	16	14	by	by	ADP
ejpam-4126	16	15	ismat	ismat	ADJ
ejpam-4126	16	16	beg	beg	PROPN
ejpam-4126	16	17	et	et	PROPN
ejpam-4126	16	18	al	al	PROPN
ejpam-4126	16	19	.	.	PUNCT
ejpam-4126	17	1	[	[	X
ejpam-4126	17	2	10	10	NUM
ejpam-4126	17	3	]	]	PUNCT
ejpam-4126	17	4	.	.	PUNCT
ejpam-4126	18	1	recently	recently	ADV
ejpam-4126	18	2	,	,	PUNCT
ejpam-4126	18	3	ughade	ughade	PROPN
ejpam-4126	18	4	and	and	CCONJ
ejpam-4126	18	5	daheriya	daheriya	NOUN
ejpam-4126	19	1	[	[	X
ejpam-4126	19	2	3	3	X
ejpam-4126	19	3	]	]	PUNCT
ejpam-4126	19	4	introduced	introduce	VERB
ejpam-4126	19	5	the	the	DET
ejpam-4126	19	6	concept	concept	NOUN
ejpam-4126	19	7	of	of	ADP
ejpam-4126	19	8	gb	gb	NOUN
ejpam-4126	19	9	-	-	PUNCT
ejpam-4126	19	10	cone	cone	NOUN
ejpam-4126	19	11	metric	metric	ADJ
ejpam-4126	19	12	space	space	NOUN
ejpam-4126	19	13	as	as	ADP
ejpam-4126	19	14	a	a	DET
ejpam-4126	19	15	generalization	generalization	NOUN
ejpam-4126	19	16	of	of	ADP
ejpam-4126	19	17	g	g	NOUN
ejpam-4126	19	18	-	-	PUNCT
ejpam-4126	19	19	cone	cone	NOUN
ejpam-4126	19	20	metric	metric	ADJ
ejpam-4126	19	21	space	space	NOUN
ejpam-4126	19	22	and	and	CCONJ
ejpam-4126	19	23	obtained	obtain	VERB
ejpam-4126	19	24	some	some	DET
ejpam-4126	19	25	fixed	fix	VERB
ejpam-4126	19	26	point	point	NOUN
ejpam-4126	19	27	(	(	PUNCT
ejpam-4126	19	28	and	and	CCONJ
ejpam-4126	19	29	common	common	ADJ
ejpam-4126	19	30	fixed	fix	VERB
ejpam-4126	19	31	point	point	NOUN
ejpam-4126	19	32	)	)	PUNCT
ejpam-4126	19	33	results	result	NOUN
ejpam-4126	19	34	.	.	PUNCT
ejpam-4126	20	1	in	in	ADP
ejpam-4126	20	2	this	this	DET
ejpam-4126	20	3	paper	paper	NOUN
ejpam-4126	20	4	,	,	PUNCT
ejpam-4126	20	5	our	our	PRON
ejpam-4126	20	6	aim	aim	NOUN
ejpam-4126	20	7	is	be	AUX
ejpam-4126	20	8	to	to	PART
ejpam-4126	20	9	establish	establish	VERB
ejpam-4126	20	10	some	some	DET
ejpam-4126	20	11	coincidence	coincidence	NOUN
ejpam-4126	20	12	and	and	CCONJ
ejpam-4126	20	13	common	common	ADJ
ejpam-4126	20	14	fixed	fix	VERB
ejpam-4126	20	15	point	point	NOUN
ejpam-4126	20	16	results	result	NOUN
ejpam-4126	20	17	for	for	ADP
ejpam-4126	20	18	four	four	NUM
ejpam-4126	20	19	mappings	mapping	NOUN
ejpam-4126	20	20	,	,	PUNCT
ejpam-4126	20	21	defined	define	VERB
ejpam-4126	20	22	on	on	ADP
ejpam-4126	20	23	a	a	DET
ejpam-4126	20	24	gb	gb	NOUN
ejpam-4126	20	25	-	-	PUNCT
ejpam-4126	20	26	cone	cone	NOUN
ejpam-4126	20	27	metric	metric	ADJ
ejpam-4126	20	28	space	space	NOUN
ejpam-4126	20	29	without	without	ADP
ejpam-4126	20	30	the	the	DET
ejpam-4126	20	31	assumption	assumption	NOUN
ejpam-4126	20	32	of	of	ADP
ejpam-4126	20	33	normality	normality	NOUN
ejpam-4126	20	34	and	and	CCONJ
ejpam-4126	20	35	also	also	ADV
ejpam-4126	20	36	with	with	ADP
ejpam-4126	20	37	the	the	DET
ejpam-4126	20	38	assumption	assumption	NOUN
ejpam-4126	20	39	of	of	ADP
ejpam-4126	20	40	normality	normality	NOUN
ejpam-4126	20	41	.	.	PUNCT
ejpam-4126	21	1	the	the	DET
ejpam-4126	21	2	mappings	mapping	NOUN
ejpam-4126	21	3	satisfy	satisfy	VERB
ejpam-4126	21	4	some	some	DET
ejpam-4126	21	5	special	special	ADJ
ejpam-4126	21	6	contractive	contractive	ADJ
ejpam-4126	21	7	conditions	condition	NOUN
ejpam-4126	21	8	.	.	PUNCT
ejpam-4126	22	1	we	we	PRON
ejpam-4126	22	2	first	first	ADV
ejpam-4126	22	3	collect	collect	VERB
ejpam-4126	22	4	some	some	DET
ejpam-4126	22	5	basic	basic	ADJ
ejpam-4126	22	6	notions	notion	NOUN
ejpam-4126	22	7	and	and	CCONJ
ejpam-4126	22	8	primary	primary	ADJ
ejpam-4126	22	9	results	result	NOUN
ejpam-4126	22	10	needed	need	VERB
ejpam-4126	22	11	to	to	PART
ejpam-4126	22	12	develop	develop	VERB
ejpam-4126	22	13	our	our	PRON
ejpam-4126	22	14	existence	existence	NOUN
ejpam-4126	22	15	results	result	NOUN
ejpam-4126	22	16	.	.	PUNCT
ejpam-4126	23	1	n	n	PRON
ejpam-4126	23	2	will	will	AUX
ejpam-4126	23	3	refer	refer	VERB
ejpam-4126	23	4	to	to	ADP
ejpam-4126	23	5	the	the	DET
ejpam-4126	23	6	set	set	NOUN
ejpam-4126	23	7	of	of	ADP
ejpam-4126	23	8	nonnegative	nonnegative	ADJ
ejpam-4126	23	9	integers	integer	NOUN
ejpam-4126	23	10	.	.	PUNCT
ejpam-4126	24	1	our	our	PRON
ejpam-4126	24	2	main	main	ADJ
ejpam-4126	24	3	existence	existence	NOUN
ejpam-4126	24	4	results	result	NOUN
ejpam-4126	24	5	are	be	AUX
ejpam-4126	24	6	theorem	theorem	VERB
ejpam-4126	24	7	1	1	NUM
ejpam-4126	24	8	(	(	PUNCT
ejpam-4126	24	9	without	without	ADP
ejpam-4126	24	10	the	the	DET
ejpam-4126	24	11	assumption	assumption	NOUN
ejpam-4126	24	12	of	of	ADP
ejpam-4126	24	13	normality	normality	NOUN
ejpam-4126	24	14	)	)	PUNCT
ejpam-4126	24	15	and	and	CCONJ
ejpam-4126	24	16	theorem	theorem	VERB
ejpam-4126	24	17	2	2	NUM
ejpam-4126	24	18	(	(	PUNCT
ejpam-4126	24	19	with	with	ADP
ejpam-4126	24	20	the	the	DET
ejpam-4126	24	21	assumption	assumption	NOUN
ejpam-4126	24	22	of	of	ADP
ejpam-4126	24	23	normality	normality	NOUN
ejpam-4126	24	24	)	)	PUNCT
ejpam-4126	24	25	.	.	PUNCT
ejpam-4126	25	1	in	in	ADP
ejpam-4126	25	2	each	each	DET
ejpam-4126	25	3	case	case	NOUN
ejpam-4126	25	4	,	,	PUNCT
ejpam-4126	25	5	an	an	DET
ejpam-4126	25	6	example	example	NOUN
ejpam-4126	25	7	of	of	ADP
ejpam-4126	25	8	application	application	NOUN
ejpam-4126	25	9	and	and	CCONJ
ejpam-4126	25	10	a	a	DET
ejpam-4126	25	11	corollary	corollary	NOUN
ejpam-4126	25	12	are	be	AUX
ejpam-4126	25	13	supplied	supply	VERB
ejpam-4126	25	14	.	.	PUNCT
ejpam-4126	26	1	∗corresponding	∗corresponde	VERB
ejpam-4126	26	2	author	author	NOUN
ejpam-4126	26	3	.	.	PUNCT
ejpam-4126	27	1	doi	doi	NOUN
ejpam-4126	27	2	:	:	PUNCT
ejpam-4126	27	3	https://doi.org/10.29020/nybg.ejpam.v14i4.4126	https://doi.org/10.29020/nybg.ejpam.v14i4.4126	PROPN
ejpam-4126	27	4	email	email	NOUN
ejpam-4126	27	5	addresses	address	NOUN
ejpam-4126	27	6	:	:	PUNCT
ejpam-4126	27	7	benchabane.saadia@ymail.com	benchabane.saadia@ymail.com	X
ejpam-4126	27	8	(	(	PUNCT
ejpam-4126	27	9	s.	s.	PROPN
ejpam-4126	27	10	benchabane	benchabane	PROPN
ejpam-4126	27	11	)	)	PUNCT
ejpam-4126	27	12	,	,	PUNCT
ejpam-4126	27	13	djebali@hotmail.com	djebali@hotmail.com	X
ejpam-4126	27	14	(	(	PUNCT
ejpam-4126	27	15	s.	s.	PROPN
ejpam-4126	27	16	djebali	djebali	PROPN
ejpam-4126	27	17	)	)	PUNCT
ejpam-4126	27	18	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4126	28	1	1350	1350	NUM
ejpam-4126	29	1	©	©	ADP
ejpam-4126	29	2	2021	2021	NUM
ejpam-4126	29	3	ejpam	ejpam	VERB
ejpam-4126	29	4	all	all	DET
ejpam-4126	29	5	rights	right	NOUN
ejpam-4126	29	6	reserved	reserve	VERB
ejpam-4126	29	7	.	.	PUNCT
ejpam-4126	30	1	s.	s.	PROPN
ejpam-4126	30	2	benchabane	benchabane	PROPN
ejpam-4126	30	3	,	,	PUNCT
ejpam-4126	30	4	s.	s.	PROPN
ejpam-4126	30	5	djebali	djebali	PROPN
ejpam-4126	30	6	/	/	SYM
ejpam-4126	30	7	eur	eur	PROPN
ejpam-4126	30	8	.	.	PUNCT
ejpam-4126	31	1	j.	j.	PROPN
ejpam-4126	31	2	pure	pure	PROPN
ejpam-4126	31	3	appl	appl	PROPN
ejpam-4126	31	4	.	.	PROPN
ejpam-4126	31	5	math	math	PROPN
ejpam-4126	31	6	,	,	PUNCT
ejpam-4126	31	7	14	14	NUM
ejpam-4126	31	8	(	(	PUNCT
ejpam-4126	31	9	4	4	NUM
ejpam-4126	31	10	)	)	PUNCT
ejpam-4126	31	11	(	(	PUNCT
ejpam-4126	31	12	2021	2021	NUM
ejpam-4126	31	13	)	)	PUNCT
ejpam-4126	31	14	,	,	PUNCT
ejpam-4126	31	15	1350	1350	NUM
ejpam-4126	31	16	-	-	SYM
ejpam-4126	31	17	1366	1366	NUM
ejpam-4126	31	18	1351	1351	NUM
ejpam-4126	31	19	definition	definition	NOUN
ejpam-4126	31	20	1	1	NUM
ejpam-4126	31	21	.	.	PUNCT
ejpam-4126	32	1	let	let	VERB
ejpam-4126	32	2	e	e	PRON
ejpam-4126	32	3	be	be	AUX
ejpam-4126	32	4	a	a	DET
ejpam-4126	32	5	real	real	ADJ
ejpam-4126	32	6	banach	banach	NOUN
ejpam-4126	32	7	space	space	NOUN
ejpam-4126	32	8	with	with	ADP
ejpam-4126	32	9	norm	norm	NOUN
ejpam-4126	32	10	∥	∥	X
ejpam-4126	32	11	·	·	PUNCT
ejpam-4126	32	12	∥	∥	NOUN
ejpam-4126	32	13	and	and	CCONJ
ejpam-4126	32	14	p	p	X
ejpam-4126	32	15	a	a	DET
ejpam-4126	32	16	subset	subset	NOUN
ejpam-4126	32	17	of	of	ADP
ejpam-4126	32	18	e.	e.	PROPN
ejpam-4126	33	1	then	then	ADV
ejpam-4126	33	2	p	p	PROPN
ejpam-4126	33	3	is	be	AUX
ejpam-4126	33	4	called	call	VERB
ejpam-4126	33	5	a	a	DET
ejpam-4126	33	6	cone	cone	NOUN
ejpam-4126	33	7	if	if	SCONJ
ejpam-4126	33	8	and	and	CCONJ
ejpam-4126	33	9	only	only	ADV
ejpam-4126	33	10	if	if	SCONJ
ejpam-4126	33	11	(	(	PUNCT
ejpam-4126	33	12	i	i	NOUN
ejpam-4126	33	13	)	)	PUNCT
ejpam-4126	33	14	p	p	NOUN
ejpam-4126	33	15	is	be	AUX
ejpam-4126	33	16	closed	closed	ADJ
ejpam-4126	33	17	,	,	PUNCT
ejpam-4126	33	18	nonempty	nonempty	NOUN
ejpam-4126	33	19	,	,	PUNCT
ejpam-4126	33	20	and	and	CCONJ
ejpam-4126	33	21	p	p	PROPN
ejpam-4126	33	22	̸=	̸=	PROPN
ejpam-4126	33	23	{	{	PUNCT
ejpam-4126	33	24	θ	θ	NOUN
ejpam-4126	33	25	}	}	PUNCT
ejpam-4126	33	26	,	,	PUNCT
ejpam-4126	33	27	where	where	SCONJ
ejpam-4126	33	28	θ	θ	PROPN
ejpam-4126	33	29	is	be	AUX
ejpam-4126	33	30	the	the	DET
ejpam-4126	33	31	zero	zero	NUM
ejpam-4126	33	32	vector	vector	NOUN
ejpam-4126	33	33	in	in	ADP
ejpam-4126	33	34	e	e	PROPN
ejpam-4126	33	35	,	,	PUNCT
ejpam-4126	33	36	(	(	PUNCT
ejpam-4126	33	37	ii	ii	NOUN
ejpam-4126	33	38	)	)	PUNCT
ejpam-4126	33	39	if	if	SCONJ
ejpam-4126	33	40	a	a	DET
ejpam-4126	33	41	,	,	PUNCT
ejpam-4126	33	42	b	b	NOUN
ejpam-4126	33	43	≥	≥	NOUN
ejpam-4126	33	44	0	0	NUM
ejpam-4126	33	45	,	,	PUNCT
ejpam-4126	33	46	and	and	CCONJ
ejpam-4126	33	47	x	x	X
ejpam-4126	33	48	,	,	PUNCT
ejpam-4126	33	49	y	y	PROPN
ejpam-4126	33	50	∈	∈	PROPN
ejpam-4126	33	51	p	p	NOUN
ejpam-4126	33	52	,	,	PUNCT
ejpam-4126	33	53	then	then	ADV
ejpam-4126	33	54	ax+	ax+	VERB
ejpam-4126	33	55	by	by	ADP
ejpam-4126	33	56	∈	∈	PROPN
ejpam-4126	33	57	p	p	X
ejpam-4126	33	58	,	,	PUNCT
ejpam-4126	33	59	(	(	PUNCT
ejpam-4126	33	60	iii	iii	NOUN
ejpam-4126	33	61	)	)	PUNCT
ejpam-4126	33	62	if	if	SCONJ
ejpam-4126	33	63	x	x	PROPN
ejpam-4126	33	64	∈	∈	PROPN
ejpam-4126	33	65	p	p	NOUN
ejpam-4126	33	66	and	and	CCONJ
ejpam-4126	33	67	−x	−x	NUM
ejpam-4126	33	68	∈	∈	PROPN
ejpam-4126	33	69	p	p	NOUN
ejpam-4126	33	70	,	,	PUNCT
ejpam-4126	33	71	then	then	ADV
ejpam-4126	33	72	x	x	X
ejpam-4126	33	73	=	=	SYM
ejpam-4126	33	74	θ	θ	NOUN
ejpam-4126	33	75	.	.	PUNCT
ejpam-4126	33	76	given	give	VERB
ejpam-4126	33	77	a	a	DET
ejpam-4126	33	78	cone	cone	NOUN
ejpam-4126	33	79	p	p	NOUN
ejpam-4126	33	80	in	in	ADP
ejpam-4126	33	81	a	a	DET
ejpam-4126	33	82	banach	banach	NOUN
ejpam-4126	33	83	space	space	NOUN
ejpam-4126	33	84	e	e	NOUN
ejpam-4126	33	85	,	,	PUNCT
ejpam-4126	33	86	a	a	DET
ejpam-4126	33	87	partial	partial	ADJ
ejpam-4126	33	88	ordering	ordering	NOUN
ejpam-4126	33	89	⪯	⪯	NOUN
ejpam-4126	33	90	with	with	ADP
ejpam-4126	33	91	respect	respect	NOUN
ejpam-4126	33	92	to	to	ADP
ejpam-4126	33	93	p	p	NOUN
ejpam-4126	33	94	is	be	AUX
ejpam-4126	33	95	given	give	VERB
ejpam-4126	33	96	by	by	ADP
ejpam-4126	33	97	x	x	X
ejpam-4126	33	98	⪯	⪯	PROPN
ejpam-4126	33	99	y	y	PROPN
ejpam-4126	33	100	if	if	SCONJ
ejpam-4126	33	101	and	and	CCONJ
ejpam-4126	33	102	only	only	ADV
ejpam-4126	33	103	if	if	SCONJ
ejpam-4126	33	104	y	y	PROPN
ejpam-4126	34	1	−	−	NOUN
ejpam-4126	35	1	x	x	SYM
ejpam-4126	35	2	∈	∈	PROPN
ejpam-4126	35	3	p.	p.	NOUN
ejpam-4126	35	4	we	we	PRON
ejpam-4126	35	5	write	write	VERB
ejpam-4126	35	6	x	x	SYM
ejpam-4126	35	7	≺	≺	NOUN
ejpam-4126	35	8	y	y	PROPN
ejpam-4126	35	9	whenever	whenever	SCONJ
ejpam-4126	35	10	x	x	PRON
ejpam-4126	35	11	⪯	⪯	VERB
ejpam-4126	35	12	y	y	PROPN
ejpam-4126	35	13	and	and	CCONJ
ejpam-4126	35	14	x	x	SYM
ejpam-4126	35	15	̸=	̸=	PROPN
ejpam-4126	35	16	y	y	NUM
ejpam-4126	35	17	,	,	PUNCT
ejpam-4126	35	18	while	while	SCONJ
ejpam-4126	35	19	x	x	PUNCT
ejpam-4126	35	20	≪	≪	PUNCT
ejpam-4126	35	21	y	y	PROPN
ejpam-4126	35	22	will	will	AUX
ejpam-4126	35	23	stand	stand	VERB
ejpam-4126	35	24	for	for	ADP
ejpam-4126	35	25	y	y	PROPN
ejpam-4126	35	26	−	−	PROPN
ejpam-4126	35	27	x	x	SYM
ejpam-4126	35	28	∈	∈	PROPN
ejpam-4126	35	29	int(p	int(p	PROPN
ejpam-4126	35	30	)	)	PUNCT
ejpam-4126	35	31	,	,	PUNCT
ejpam-4126	35	32	where	where	SCONJ
ejpam-4126	35	33	int(p	int(p	PROPN
ejpam-4126	35	34	)	)	PUNCT
ejpam-4126	35	35	designates	designate	VERB
ejpam-4126	35	36	the	the	DET
ejpam-4126	35	37	interior	interior	NOUN
ejpam-4126	35	38	of	of	ADP
ejpam-4126	35	39	p	p	PROPN
ejpam-4126	35	40	.	.	PUNCT
ejpam-4126	36	1	if	if	SCONJ
ejpam-4126	36	2	int(p	int(p	PROPN
ejpam-4126	36	3	)	)	PUNCT
ejpam-4126	36	4	̸=	̸=	PROPN
ejpam-4126	36	5	∅	∅	NOUN
ejpam-4126	36	6	,	,	PUNCT
ejpam-4126	36	7	then	then	ADV
ejpam-4126	36	8	p	p	PROPN
ejpam-4126	36	9	is	be	AUX
ejpam-4126	36	10	called	call	VERB
ejpam-4126	36	11	a	a	DET
ejpam-4126	36	12	solid	solid	ADJ
ejpam-4126	36	13	cone	cone	NOUN
ejpam-4126	36	14	.	.	PUNCT
ejpam-4126	37	1	the	the	DET
ejpam-4126	37	2	cone	cone	NOUN
ejpam-4126	37	3	p	p	NOUN
ejpam-4126	37	4	is	be	AUX
ejpam-4126	37	5	called	call	VERB
ejpam-4126	37	6	normal	normal	ADJ
ejpam-4126	37	7	if	if	SCONJ
ejpam-4126	37	8	there	there	PRON
ejpam-4126	37	9	is	be	VERB
ejpam-4126	37	10	a	a	DET
ejpam-4126	37	11	number	number	NOUN
ejpam-4126	37	12	k	k	PROPN
ejpam-4126	37	13	>	>	X
ejpam-4126	37	14	0	0	PROPN
ejpam-4126	37	15	,	,	PUNCT
ejpam-4126	37	16	such	such	ADJ
ejpam-4126	37	17	that	that	PRON
ejpam-4126	37	18	for	for	ADP
ejpam-4126	37	19	all	all	DET
ejpam-4126	37	20	x	x	NOUN
ejpam-4126	37	21	,	,	PUNCT
ejpam-4126	37	22	y	y	PROPN
ejpam-4126	37	23	∈	∈	PROPN
ejpam-4126	37	24	e	e	NOUN
ejpam-4126	37	25	,	,	PUNCT
ejpam-4126	37	26	we	we	PRON
ejpam-4126	37	27	have	have	VERB
ejpam-4126	37	28	θ	θ	PROPN
ejpam-4126	37	29	⪯	⪯	NOUN
ejpam-4126	37	30	x	x	X
ejpam-4126	37	31	⪯	⪯	PROPN
ejpam-4126	37	32	y	y	PROPN
ejpam-4126	37	33	implies	imply	VERB
ejpam-4126	37	34	∥x∥	∥x∥	NOUN
ejpam-4126	37	35	≤	≤	VERB
ejpam-4126	37	36	k∥y∥.	k∥y∥.	X
ejpam-4126	37	37	the	the	DET
ejpam-4126	37	38	least	least	ADV
ejpam-4126	37	39	positive	positive	ADJ
ejpam-4126	37	40	number	number	NOUN
ejpam-4126	37	41	satisfying	satisfy	VERB
ejpam-4126	37	42	this	this	DET
ejpam-4126	37	43	inequality	inequality	NOUN
ejpam-4126	37	44	is	be	AUX
ejpam-4126	37	45	called	call	VERB
ejpam-4126	37	46	the	the	DET
ejpam-4126	37	47	normal	normal	ADJ
ejpam-4126	37	48	constant	constant	NOUN
ejpam-4126	37	49	of	of	ADP
ejpam-4126	37	50	p	p	PROPN
ejpam-4126	37	51	.	.	PUNCT
ejpam-4126	38	1	in	in	ADP
ejpam-4126	38	2	[	[	X
ejpam-4126	38	3	6	6	NUM
ejpam-4126	38	4	]	]	PUNCT
ejpam-4126	38	5	,	,	PUNCT
ejpam-4126	38	6	it	it	PRON
ejpam-4126	38	7	is	be	AUX
ejpam-4126	38	8	proved	prove	VERB
ejpam-4126	38	9	that	that	SCONJ
ejpam-4126	38	10	there	there	PRON
ejpam-4126	38	11	are	be	VERB
ejpam-4126	38	12	no	no	DET
ejpam-4126	38	13	normal	normal	ADJ
ejpam-4126	38	14	cones	cone	NOUN
ejpam-4126	38	15	with	with	ADP
ejpam-4126	38	16	a	a	DET
ejpam-4126	38	17	normal	normal	ADJ
ejpam-4126	38	18	constant	constant	ADJ
ejpam-4126	39	1	k	k	X
ejpam-4126	39	2	<	<	X
ejpam-4126	39	3	1	1	X
ejpam-4126	39	4	.	.	PUNCT
ejpam-4126	39	5	lemma	lemma	PROPN
ejpam-4126	39	6	1	1	NUM
ejpam-4126	39	7	.	.	PUNCT
ejpam-4126	40	1	[	[	X
ejpam-4126	40	2	13	13	NUM
ejpam-4126	40	3	]	]	PUNCT
ejpam-4126	40	4	for	for	ADP
ejpam-4126	40	5	cones	cone	NOUN
ejpam-4126	40	6	which	which	PRON
ejpam-4126	40	7	are	be	AUX
ejpam-4126	40	8	not	not	PART
ejpam-4126	40	9	normal	normal	ADJ
ejpam-4126	40	10	,	,	PUNCT
ejpam-4126	40	11	the	the	DET
ejpam-4126	40	12	following	follow	VERB
ejpam-4126	40	13	properties	property	NOUN
ejpam-4126	40	14	hold	hold	VERB
ejpam-4126	40	15	(	(	PUNCT
ejpam-4126	40	16	pt1	pt1	PROPN
ejpam-4126	40	17	)	)	PUNCT
ejpam-4126	40	18	if	if	SCONJ
ejpam-4126	40	19	u	u	PRON
ejpam-4126	40	20	⪯	⪯	VERB
ejpam-4126	40	21	v	v	NOUN
ejpam-4126	40	22	and	and	CCONJ
ejpam-4126	40	23	v	v	ADP
ejpam-4126	40	24	≪	≪	ADJ
ejpam-4126	40	25	w	w	NOUN
ejpam-4126	40	26	,	,	PUNCT
ejpam-4126	40	27	then	then	ADV
ejpam-4126	40	28	u	u	PROPN
ejpam-4126	40	29	≪	≪	VERB
ejpam-4126	40	30	w.	w.	PROPN
ejpam-4126	40	31	(	(	PUNCT
ejpam-4126	40	32	pt2	pt2	NOUN
ejpam-4126	40	33	)	)	PUNCT
ejpam-4126	40	34	if	if	SCONJ
ejpam-4126	40	35	u	u	PROPN
ejpam-4126	40	36	≪	≪	ADJ
ejpam-4126	40	37	v	v	NOUN
ejpam-4126	40	38	and	and	CCONJ
ejpam-4126	40	39	v	v	ADP
ejpam-4126	40	40	⪯	⪯	NOUN
ejpam-4126	40	41	w	w	PROPN
ejpam-4126	40	42	,	,	PUNCT
ejpam-4126	40	43	then	then	ADV
ejpam-4126	40	44	u	u	PROPN
ejpam-4126	40	45	≪	≪	VERB
ejpam-4126	40	46	w.	w.	NOUN
ejpam-4126	40	47	(	(	PUNCT
ejpam-4126	40	48	pt3	pt3	NOUN
ejpam-4126	40	49	)	)	PUNCT
ejpam-4126	40	50	if	if	SCONJ
ejpam-4126	40	51	u	u	PROPN
ejpam-4126	40	52	≪	≪	VERB
ejpam-4126	40	53	v	v	NOUN
ejpam-4126	40	54	and	and	CCONJ
ejpam-4126	40	55	v	v	ADP
ejpam-4126	40	56	≪	≪	ADJ
ejpam-4126	40	57	w	w	NOUN
ejpam-4126	40	58	,	,	PUNCT
ejpam-4126	40	59	then	then	ADV
ejpam-4126	40	60	u	u	PROPN
ejpam-4126	40	61	≪	≪	VERB
ejpam-4126	40	62	w.	w.	PROPN
ejpam-4126	40	63	(	(	PUNCT
ejpam-4126	40	64	pt4	pt4	PROPN
ejpam-4126	40	65	)	)	PUNCT
ejpam-4126	40	66	if	if	SCONJ
ejpam-4126	40	67	θ	θ	PROPN
ejpam-4126	40	68	⪯	⪯	VERB
ejpam-4126	40	69	u	u	PRON
ejpam-4126	40	70	≪	≪	VERB
ejpam-4126	40	71	c	c	NOUN
ejpam-4126	40	72	for	for	ADP
ejpam-4126	40	73	each	each	DET
ejpam-4126	40	74	c	c	PROPN
ejpam-4126	40	75	∈	∈	PROPN
ejpam-4126	40	76	intp	intp	NOUN
ejpam-4126	40	77	,	,	PUNCT
ejpam-4126	40	78	then	then	ADV
ejpam-4126	40	79	u	u	X
ejpam-4126	40	80	=	=	PROPN
ejpam-4126	40	81	θ	θ	PROPN
ejpam-4126	40	82	.	.	PUNCT
ejpam-4126	40	83	(	(	PUNCT
ejpam-4126	40	84	pt5	pt5	NOUN
ejpam-4126	40	85	)	)	PUNCT
ejpam-4126	40	86	if	if	SCONJ
ejpam-4126	40	87	a	a	DET
ejpam-4126	40	88	⪯	⪯	NOUN
ejpam-4126	40	89	b+	b+	PUNCT
ejpam-4126	40	90	c	c	NOUN
ejpam-4126	40	91	for	for	ADP
ejpam-4126	40	92	each	each	DET
ejpam-4126	40	93	c	c	PROPN
ejpam-4126	40	94	∈	∈	PROPN
ejpam-4126	40	95	intp	intp	NOUN
ejpam-4126	40	96	,	,	PUNCT
ejpam-4126	40	97	then	then	ADV
ejpam-4126	40	98	a	a	DET
ejpam-4126	40	99	⪯	⪯	PROPN
ejpam-4126	40	100	b.	b.	PROPN
ejpam-4126	40	101	(	(	PUNCT
ejpam-4126	40	102	pt6	pt6	PROPN
ejpam-4126	40	103	)	)	PUNCT
ejpam-4126	40	104	if	if	SCONJ
ejpam-4126	40	105	e	e	PRON
ejpam-4126	40	106	be	be	VERB
ejpam-4126	40	107	a	a	DET
ejpam-4126	40	108	real	real	ADJ
ejpam-4126	40	109	banach	banach	NOUN
ejpam-4126	40	110	space	space	NOUN
ejpam-4126	40	111	with	with	ADP
ejpam-4126	40	112	a	a	DET
ejpam-4126	40	113	cone	cone	NOUN
ejpam-4126	40	114	p	p	NOUN
ejpam-4126	40	115	,	,	PUNCT
ejpam-4126	40	116	and	and	CCONJ
ejpam-4126	40	117	if	if	SCONJ
ejpam-4126	40	118	a	a	DET
ejpam-4126	40	119	⪯	⪯	NOUN
ejpam-4126	40	120	λa	λa	ADP
ejpam-4126	40	121	,	,	PUNCT
ejpam-4126	40	122	where	where	SCONJ
ejpam-4126	40	123	a	a	DET
ejpam-4126	40	124	∈	∈	PROPN
ejpam-4126	40	125	p	p	NOUN
ejpam-4126	40	126	and	and	CCONJ
ejpam-4126	40	127	0	0	NUM
ejpam-4126	40	128	≤	≤	NUM
ejpam-4126	40	129	λ	λ	X
ejpam-4126	40	130	<	<	X
ejpam-4126	40	131	1	1	NUM
ejpam-4126	40	132	,	,	PUNCT
ejpam-4126	40	133	then	then	ADV
ejpam-4126	40	134	a	a	DET
ejpam-4126	40	135	=	=	SYM
ejpam-4126	40	136	θ	θ	NOUN
ejpam-4126	40	137	.	.	PUNCT
ejpam-4126	40	138	(	(	PUNCT
ejpam-4126	40	139	pt7	pt7	NOUN
ejpam-4126	40	140	)	)	PUNCT
ejpam-4126	40	141	if	if	SCONJ
ejpam-4126	40	142	c	c	PROPN
ejpam-4126	40	143	∈	∈	PROPN
ejpam-4126	40	144	intp	intp	NOUN
ejpam-4126	40	145	,	,	PUNCT
ejpam-4126	40	146	an	an	DET
ejpam-4126	40	147	∈	∈	PROPN
ejpam-4126	40	148	e	e	NOUN
ejpam-4126	40	149	and	and	CCONJ
ejpam-4126	40	150	an	an	DET
ejpam-4126	40	151	→	→	SYM
ejpam-4126	40	152	θ	θ	PROPN
ejpam-4126	40	153	,	,	PUNCT
ejpam-4126	40	154	then	then	ADV
ejpam-4126	40	155	there	there	PRON
ejpam-4126	40	156	exists	exist	VERB
ejpam-4126	40	157	an	an	DET
ejpam-4126	40	158	n0	n0	ADJ
ejpam-4126	40	159	∈	∈	PROPN
ejpam-4126	40	160	n	n	PRON
ejpam-4126	40	161	such	such	ADJ
ejpam-4126	40	162	that	that	SCONJ
ejpam-4126	40	163	,	,	PUNCT
ejpam-4126	40	164	for	for	ADP
ejpam-4126	40	165	all	all	PRON
ejpam-4126	40	166	n	n	PROPN
ejpam-4126	40	167	>	>	X
ejpam-4126	40	168	n0	n0	PROPN
ejpam-4126	40	169	,	,	PUNCT
ejpam-4126	40	170	an	an	DET
ejpam-4126	40	171	≪	≪	ADJ
ejpam-4126	40	172	c.	c.	NOUN
ejpam-4126	40	173	definition	definition	NOUN
ejpam-4126	40	174	2	2	NUM
ejpam-4126	40	175	.	.	PUNCT
ejpam-4126	41	1	[	[	X
ejpam-4126	41	2	3	3	X
ejpam-4126	41	3	]	]	X
ejpam-4126	41	4	let	let	VERB
ejpam-4126	41	5	x	x	PRON
ejpam-4126	41	6	be	be	AUX
ejpam-4126	41	7	a	a	DET
ejpam-4126	41	8	nonempty	nonempty	ADV
ejpam-4126	41	9	set	set	VERB
ejpam-4126	41	10	and	and	CCONJ
ejpam-4126	41	11	e	e	X
ejpam-4126	41	12	a	a	DET
ejpam-4126	41	13	real	real	ADJ
ejpam-4126	41	14	banach	banach	NOUN
ejpam-4126	41	15	space	space	NOUN
ejpam-4126	41	16	equipped	equip	VERB
ejpam-4126	41	17	with	with	ADP
ejpam-4126	41	18	the	the	DET
ejpam-4126	41	19	partial	partial	ADJ
ejpam-4126	41	20	ordering	ordering	NOUN
ejpam-4126	41	21	⪯	⪯	NOUN
ejpam-4126	41	22	with	with	ADP
ejpam-4126	41	23	respect	respect	NOUN
ejpam-4126	41	24	to	to	ADP
ejpam-4126	41	25	the	the	DET
ejpam-4126	41	26	cone	cone	NOUN
ejpam-4126	41	27	p	p	NOUN
ejpam-4126	41	28	.	.	PUNCT
ejpam-4126	42	1	a	a	DET
ejpam-4126	42	2	vector	vector	NOUN
ejpam-4126	42	3	-	-	PUNCT
ejpam-4126	42	4	valued	value	VERB
ejpam-4126	42	5	function	function	NOUN
ejpam-4126	42	6	g	g	NOUN
ejpam-4126	42	7	:	:	PUNCT
ejpam-4126	42	8	x×x×x	x×x×x	PUNCT
ejpam-4126	42	9	→	→	PUNCT
ejpam-4126	42	10	x	x	X
ejpam-4126	42	11	is	be	AUX
ejpam-4126	42	12	said	say	VERB
ejpam-4126	42	13	to	to	PART
ejpam-4126	42	14	be	be	AUX
ejpam-4126	42	15	a	a	DET
ejpam-4126	42	16	generalized	generalized	ADJ
ejpam-4126	42	17	cone	cone	NOUN
ejpam-4126	42	18	b	b	X
ejpam-4126	42	19	-	-	PUNCT
ejpam-4126	42	20	metric	metric	ADJ
ejpam-4126	42	21	function	function	NOUN
ejpam-4126	42	22	on	on	ADP
ejpam-4126	42	23	x	x	PUNCT
ejpam-4126	42	24	with	with	ADP
ejpam-4126	42	25	the	the	DET
ejpam-4126	42	26	constant	constant	ADJ
ejpam-4126	42	27	s	s	PART
ejpam-4126	42	28	≥	≥	NOUN
ejpam-4126	42	29	1	1	NUM
ejpam-4126	42	30	if	if	SCONJ
ejpam-4126	42	31	the	the	DET
ejpam-4126	42	32	following	follow	VERB
ejpam-4126	42	33	conditions	condition	NOUN
ejpam-4126	42	34	are	be	AUX
ejpam-4126	42	35	satisfied	satisfied	ADJ
ejpam-4126	42	36	(	(	PUNCT
ejpam-4126	42	37	gbc1	gbc1	PROPN
ejpam-4126	42	38	)	)	PUNCT
ejpam-4126	43	1	g(x	g(x	PROPN
ejpam-4126	43	2	,	,	PUNCT
ejpam-4126	43	3	y	y	PROPN
ejpam-4126	43	4	,	,	PUNCT
ejpam-4126	43	5	z	z	NOUN
ejpam-4126	43	6	)	)	PUNCT
ejpam-4126	43	7	=	=	SYM
ejpam-4126	44	1	θ	θ	NOUN
ejpam-4126	44	2	if	if	SCONJ
ejpam-4126	44	3	x	x	X
ejpam-4126	44	4	=	=	PUNCT
ejpam-4126	44	5	y	y	PROPN
ejpam-4126	44	6	=	=	SYM
ejpam-4126	44	7	z	z	PROPN
ejpam-4126	44	8	,	,	PUNCT
ejpam-4126	44	9	(	(	PUNCT
ejpam-4126	44	10	gbc2	gbc2	ADJ
ejpam-4126	44	11	)	)	PUNCT
ejpam-4126	44	12	θ	θ	PROPN
ejpam-4126	44	13	≺	≺	NOUN
ejpam-4126	44	14	g(x	g(x	PROPN
ejpam-4126	44	15	,	,	PUNCT
ejpam-4126	44	16	y	y	PROPN
ejpam-4126	44	17	,	,	PUNCT
ejpam-4126	44	18	z	z	NOUN
ejpam-4126	44	19	)	)	PUNCT
ejpam-4126	44	20	,	,	PUNCT
ejpam-4126	44	21	for	for	ADP
ejpam-4126	44	22	y	y	PROPN
ejpam-4126	44	23	̸=	̸=	PROPN
ejpam-4126	44	24	z	z	PROPN
ejpam-4126	44	25	,	,	PUNCT
ejpam-4126	44	26	for	for	ADP
ejpam-4126	44	27	all	all	DET
ejpam-4126	44	28	x	x	NOUN
ejpam-4126	44	29	,	,	PUNCT
ejpam-4126	44	30	y	y	PROPN
ejpam-4126	44	31	,	,	PUNCT
ejpam-4126	44	32	z	z	PROPN
ejpam-4126	44	33	∈	∈	PROPN
ejpam-4126	44	34	x	x	X
ejpam-4126	44	35	,	,	PUNCT
ejpam-4126	44	36	(	(	PUNCT
ejpam-4126	44	37	gbc3	gbc3	PROPN
ejpam-4126	44	38	)	)	PUNCT
ejpam-4126	44	39	g(x	g(x	NOUN
ejpam-4126	44	40	,	,	PUNCT
ejpam-4126	44	41	x	x	NOUN
ejpam-4126	44	42	,	,	PUNCT
ejpam-4126	44	43	y	y	PROPN
ejpam-4126	44	44	)	)	PUNCT
ejpam-4126	44	45	⪯	⪯	NOUN
ejpam-4126	44	46	g(x	g(x	PROPN
ejpam-4126	44	47	,	,	PUNCT
ejpam-4126	44	48	y	y	PROPN
ejpam-4126	44	49	,	,	PUNCT
ejpam-4126	44	50	z	z	NOUN
ejpam-4126	44	51	)	)	PUNCT
ejpam-4126	44	52	,	,	PUNCT
ejpam-4126	44	53	whenever	whenever	SCONJ
ejpam-4126	44	54	y	y	PROPN
ejpam-4126	44	55	̸=	̸=	PROPN
ejpam-4126	44	56	z	z	PROPN
ejpam-4126	44	57	,	,	PUNCT
ejpam-4126	44	58	for	for	ADP
ejpam-4126	44	59	all	all	DET
ejpam-4126	44	60	x	x	NOUN
ejpam-4126	44	61	,	,	PUNCT
ejpam-4126	44	62	y	y	PROPN
ejpam-4126	44	63	,	,	PUNCT
ejpam-4126	44	64	z	z	PROPN
ejpam-4126	44	65	∈	∈	PROPN
ejpam-4126	44	66	x	x	X
ejpam-4126	44	67	,	,	PUNCT
ejpam-4126	44	68	(	(	PUNCT
ejpam-4126	44	69	gbc4	gbc4	NOUN
ejpam-4126	44	70	)	)	PUNCT
ejpam-4126	45	1	g(x	g(x	PROPN
ejpam-4126	45	2	,	,	PUNCT
ejpam-4126	45	3	y	y	PROPN
ejpam-4126	45	4	,	,	PUNCT
ejpam-4126	45	5	z	z	NOUN
ejpam-4126	45	6	)	)	PUNCT
ejpam-4126	45	7	=	=	SYM
ejpam-4126	46	1	g(y	g(y	PROPN
ejpam-4126	46	2	,	,	PUNCT
ejpam-4126	46	3	x	x	X
ejpam-4126	46	4	,	,	PUNCT
ejpam-4126	46	5	z	z	NOUN
ejpam-4126	46	6	)	)	PUNCT
ejpam-4126	46	7	=	=	SYM
ejpam-4126	46	8	·	·	PUNCT
ejpam-4126	46	9	·	·	PUNCT
ejpam-4126	46	10	·	·	PUNCT
ejpam-4126	46	11	(	(	PUNCT
ejpam-4126	46	12	symmetric	symmetric	ADJ
ejpam-4126	46	13	in	in	ADP
ejpam-4126	46	14	all	all	DET
ejpam-4126	46	15	three	three	NUM
ejpam-4126	46	16	variables	variable	NOUN
ejpam-4126	46	17	)	)	PUNCT
ejpam-4126	46	18	,	,	PUNCT
ejpam-4126	46	19	(	(	PUNCT
ejpam-4126	46	20	gbc5	gbc5	PROPN
ejpam-4126	46	21	)	)	PUNCT
ejpam-4126	46	22	g(x	g(x	PROPN
ejpam-4126	46	23	,	,	PUNCT
ejpam-4126	46	24	y	y	PROPN
ejpam-4126	46	25	,	,	PUNCT
ejpam-4126	46	26	z	z	NOUN
ejpam-4126	46	27	)	)	PUNCT
ejpam-4126	46	28	⪯	⪯	NOUN
ejpam-4126	46	29	s(g(x	s(g(x	ADJ
ejpam-4126	46	30	,	,	PUNCT
ejpam-4126	46	31	a	a	PRON
ejpam-4126	46	32	,	,	PUNCT
ejpam-4126	46	33	a	a	NOUN
ejpam-4126	46	34	)	)	PUNCT
ejpam-4126	46	35	+	+	PROPN
ejpam-4126	46	36	g(a	g(a	PROPN
ejpam-4126	46	37	,	,	PUNCT
ejpam-4126	46	38	y	y	PROPN
ejpam-4126	46	39	,	,	PUNCT
ejpam-4126	46	40	z	z	NOUN
ejpam-4126	46	41	)	)	PUNCT
ejpam-4126	46	42	)	)	PUNCT
ejpam-4126	46	43	,	,	PUNCT
ejpam-4126	46	44	for	for	ADP
ejpam-4126	46	45	all	all	DET
ejpam-4126	46	46	x	x	NOUN
ejpam-4126	46	47	,	,	PUNCT
ejpam-4126	46	48	y	y	PROPN
ejpam-4126	46	49	,	,	PUNCT
ejpam-4126	46	50	z	z	PROPN
ejpam-4126	46	51	,	,	PUNCT
ejpam-4126	46	52	a	a	DET
ejpam-4126	46	53	∈	∈	NOUN
ejpam-4126	46	54	x	x	X
ejpam-4126	46	55	(	(	PUNCT
ejpam-4126	46	56	the	the	DET
ejpam-4126	46	57	rectangle	rectangle	NOUN
ejpam-4126	46	58	inequality	inequality	NOUN
ejpam-4126	46	59	)	)	PUNCT
ejpam-4126	46	60	.	.	PUNCT
ejpam-4126	47	1	then	then	ADV
ejpam-4126	47	2	the	the	DET
ejpam-4126	47	3	pair	pair	NOUN
ejpam-4126	47	4	(	(	PUNCT
ejpam-4126	47	5	x	x	NOUN
ejpam-4126	47	6	,	,	PUNCT
ejpam-4126	47	7	g	g	NOUN
ejpam-4126	47	8	)	)	PUNCT
ejpam-4126	47	9	is	be	AUX
ejpam-4126	47	10	called	call	VERB
ejpam-4126	47	11	a	a	DET
ejpam-4126	47	12	generalized	generalized	ADJ
ejpam-4126	47	13	b	b	NOUN
ejpam-4126	47	14	-	-	ADJ
ejpam-4126	47	15	cone	cone	NOUN
ejpam-4126	47	16	metric	metric	ADJ
ejpam-4126	47	17	space	space	NOUN
ejpam-4126	47	18	or	or	CCONJ
ejpam-4126	47	19	,	,	PUNCT
ejpam-4126	47	20	more	more	ADV
ejpam-4126	47	21	specifically	specifically	ADV
ejpam-4126	47	22	,	,	PUNCT
ejpam-4126	47	23	a	a	DET
ejpam-4126	47	24	gb	gb	NOUN
ejpam-4126	47	25	-	-	PUNCT
ejpam-4126	47	26	cone	cone	NOUN
ejpam-4126	47	27	metric	metric	ADJ
ejpam-4126	47	28	space	space	NOUN
ejpam-4126	47	29	.	.	PUNCT
ejpam-4126	48	1	the	the	DET
ejpam-4126	48	2	concept	concept	NOUN
ejpam-4126	48	3	of	of	ADP
ejpam-4126	48	4	a	a	DET
ejpam-4126	48	5	gb	gb	NOUN
ejpam-4126	48	6	-	-	PUNCT
ejpam-4126	48	7	cone	cone	NOUN
ejpam-4126	48	8	metric	metric	ADJ
ejpam-4126	48	9	space	space	NOUN
ejpam-4126	48	10	is	be	AUX
ejpam-4126	48	11	more	more	ADV
ejpam-4126	48	12	general	general	ADJ
ejpam-4126	48	13	than	than	ADP
ejpam-4126	48	14	that	that	PRON
ejpam-4126	48	15	of	of	ADP
ejpam-4126	48	16	a	a	DET
ejpam-4126	48	17	gb	gb	ADV
ejpam-4126	48	18	-	-	PUNCT
ejpam-4126	48	19	metric	metric	ADJ
ejpam-4126	48	20	space	space	NOUN
ejpam-4126	48	21	,	,	PUNCT
ejpam-4126	48	22	a	a	DET
ejpam-4126	48	23	g	g	NOUN
ejpam-4126	48	24	-	-	PUNCT
ejpam-4126	48	25	cone	cone	NOUN
ejpam-4126	48	26	metric	metric	ADJ
ejpam-4126	48	27	space	space	NOUN
ejpam-4126	48	28	,	,	PUNCT
ejpam-4126	48	29	and	and	CCONJ
ejpam-4126	48	30	a	a	DET
ejpam-4126	48	31	cone	cone	NOUN
ejpam-4126	48	32	metric	metric	ADJ
ejpam-4126	48	33	space	space	NOUN
ejpam-4126	48	34	.	.	PUNCT
ejpam-4126	49	1	for	for	ADP
ejpam-4126	49	2	the	the	DET
ejpam-4126	49	3	definition	definition	NOUN
ejpam-4126	49	4	of	of	ADP
ejpam-4126	49	5	gb	gb	ADV
ejpam-4126	49	6	-	-	PUNCT
ejpam-4126	49	7	metric	metric	ADJ
ejpam-4126	49	8	,	,	PUNCT
ejpam-4126	49	9	g	g	NOUN
ejpam-4126	49	10	-	-	PUNCT
ejpam-4126	49	11	cone	cone	NOUN
ejpam-4126	49	12	metric	metric	NOUN
ejpam-4126	49	13	,	,	PUNCT
ejpam-4126	49	14	cone	cone	NOUN
ejpam-4126	49	15	metric	metric	ADJ
ejpam-4126	49	16	spaces	space	NOUN
ejpam-4126	49	17	,	,	PUNCT
ejpam-4126	49	18	and	and	CCONJ
ejpam-4126	49	19	related	related	ADJ
ejpam-4126	49	20	concepts	concept	NOUN
ejpam-4126	49	21	we	we	PRON
ejpam-4126	49	22	refer	refer	VERB
ejpam-4126	49	23	the	the	DET
ejpam-4126	49	24	reader	reader	NOUN
ejpam-4126	49	25	to	to	ADP
ejpam-4126	49	26	[	[	X
ejpam-4126	49	27	15	15	NUM
ejpam-4126	49	28	]	]	PUNCT
ejpam-4126	49	29	,	,	PUNCT
ejpam-4126	49	30	[	[	X
ejpam-4126	49	31	10	10	NUM
ejpam-4126	49	32	]	]	PUNCT
ejpam-4126	49	33	,	,	PUNCT
ejpam-4126	49	34	[	[	X
ejpam-4126	49	35	18	18	NUM
ejpam-4126	49	36	]	]	PUNCT
ejpam-4126	49	37	.	.	PUNCT
ejpam-4126	50	1	s.	s.	PROPN
ejpam-4126	50	2	benchabane	benchabane	PROPN
ejpam-4126	50	3	,	,	PUNCT
ejpam-4126	50	4	s.	s.	PROPN
ejpam-4126	50	5	djebali	djebali	PROPN
ejpam-4126	50	6	/	/	SYM
ejpam-4126	50	7	eur	eur	PROPN
ejpam-4126	50	8	.	.	PUNCT
ejpam-4126	51	1	j.	j.	PROPN
ejpam-4126	51	2	pure	pure	PROPN
ejpam-4126	51	3	appl	appl	PROPN
ejpam-4126	51	4	.	.	PROPN
ejpam-4126	51	5	math	math	PROPN
ejpam-4126	51	6	,	,	PUNCT
ejpam-4126	51	7	14	14	NUM
ejpam-4126	51	8	(	(	PUNCT
ejpam-4126	51	9	4	4	NUM
ejpam-4126	51	10	)	)	PUNCT
ejpam-4126	51	11	(	(	PUNCT
ejpam-4126	51	12	2021	2021	NUM
ejpam-4126	51	13	)	)	PUNCT
ejpam-4126	51	14	,	,	PUNCT
ejpam-4126	51	15	1350	1350	NUM
ejpam-4126	51	16	-	-	SYM
ejpam-4126	51	17	1366	1366	NUM
ejpam-4126	51	18	1352	1352	NUM
ejpam-4126	51	19	definition	definition	NOUN
ejpam-4126	51	20	3	3	NUM
ejpam-4126	51	21	.	.	PUNCT
ejpam-4126	52	1	[	[	X
ejpam-4126	52	2	3	3	X
ejpam-4126	52	3	]	]	X
ejpam-4126	52	4	let	let	VERB
ejpam-4126	52	5	(	(	PUNCT
ejpam-4126	52	6	x	x	NOUN
ejpam-4126	52	7	,	,	PUNCT
ejpam-4126	52	8	g	g	NOUN
ejpam-4126	52	9	)	)	PUNCT
ejpam-4126	52	10	be	be	AUX
ejpam-4126	52	11	a	a	DET
ejpam-4126	52	12	gb	gb	NOUN
ejpam-4126	52	13	-	-	PUNCT
ejpam-4126	52	14	cone	cone	NOUN
ejpam-4126	52	15	metric	metric	ADJ
ejpam-4126	52	16	space	space	NOUN
ejpam-4126	52	17	.	.	PUNCT
ejpam-4126	53	1	a	a	DET
ejpam-4126	53	2	sequence	sequence	NOUN
ejpam-4126	53	3	(	(	PUNCT
ejpam-4126	53	4	xn	xn	X
ejpam-4126	53	5	)	)	PUNCT
ejpam-4126	53	6	in	in	ADP
ejpam-4126	53	7	x	x	PROPN
ejpam-4126	53	8	is	be	AUX
ejpam-4126	53	9	said	say	VERB
ejpam-4126	53	10	to	to	PART
ejpam-4126	53	11	be	be	AUX
ejpam-4126	53	12	(	(	PUNCT
ejpam-4126	53	13	1	1	X
ejpam-4126	53	14	)	)	PUNCT
ejpam-4126	53	15	a	a	DET
ejpam-4126	53	16	gb	gb	NOUN
ejpam-4126	53	17	-	-	PUNCT
ejpam-4126	53	18	cone	cone	NOUN
ejpam-4126	53	19	cauchy	cauchy	NOUN
ejpam-4126	53	20	sequence	sequence	NOUN
ejpam-4126	53	21	if	if	SCONJ
ejpam-4126	53	22	,	,	PUNCT
ejpam-4126	53	23	for	for	ADP
ejpam-4126	53	24	every	every	DET
ejpam-4126	53	25	c	c	PROPN
ejpam-4126	53	26	∈	∈	PROPN
ejpam-4126	53	27	e	e	NOUN
ejpam-4126	53	28	with	with	ADP
ejpam-4126	53	29	θ	θ	PROPN
ejpam-4126	53	30	≪	≪	PUNCT
ejpam-4126	53	31	c	c	X
ejpam-4126	53	32	,	,	PUNCT
ejpam-4126	53	33	there	there	PRON
ejpam-4126	53	34	exists	exist	VERB
ejpam-4126	53	35	n0	n0	PROPN
ejpam-4126	53	36	∈	∈	PROPN
ejpam-4126	53	37	n	n	PRON
ejpam-4126	53	38	such	such	ADJ
ejpam-4126	53	39	that	that	PRON
ejpam-4126	53	40	for	for	ADP
ejpam-4126	53	41	all	all	DET
ejpam-4126	53	42	n	n	CCONJ
ejpam-4126	53	43	,	,	PUNCT
ejpam-4126	53	44	m	m	PROPN
ejpam-4126	53	45	,	,	PUNCT
ejpam-4126	53	46	l	l	NOUN
ejpam-4126	53	47	>	>	X
ejpam-4126	53	48	n0	n0	PROPN
ejpam-4126	53	49	,	,	PUNCT
ejpam-4126	53	50	g(xn	g(xn	X
ejpam-4126	53	51	,	,	PUNCT
ejpam-4126	53	52	xm	xm	PROPN
ejpam-4126	53	53	,	,	PUNCT
ejpam-4126	53	54	xl	xl	PROPN
ejpam-4126	53	55	)	)	PUNCT
ejpam-4126	53	56	≪	≪	PUNCT
ejpam-4126	53	57	c.	c.	NOUN
ejpam-4126	53	58	(	(	PUNCT
ejpam-4126	53	59	2	2	NUM
ejpam-4126	53	60	)	)	PUNCT
ejpam-4126	53	61	a	a	DET
ejpam-4126	53	62	gb	gb	NOUN
ejpam-4126	53	63	-	-	PUNCT
ejpam-4126	53	64	cone	cone	NOUN
ejpam-4126	53	65	convergent	convergent	NOUN
ejpam-4126	53	66	sequence	sequence	NOUN
ejpam-4126	53	67	if	if	SCONJ
ejpam-4126	53	68	,	,	PUNCT
ejpam-4126	53	69	for	for	ADP
ejpam-4126	53	70	every	every	DET
ejpam-4126	53	71	c	c	PROPN
ejpam-4126	53	72	∈	∈	PROPN
ejpam-4126	53	73	e	e	NOUN
ejpam-4126	53	74	with	with	ADP
ejpam-4126	53	75	θ	θ	PROPN
ejpam-4126	53	76	≪	≪	PUNCT
ejpam-4126	53	77	c	c	X
ejpam-4126	53	78	,	,	PUNCT
ejpam-4126	53	79	there	there	PRON
ejpam-4126	53	80	exists	exist	VERB
ejpam-4126	53	81	n0	n0	PROPN
ejpam-4126	53	82	∈	∈	PROPN
ejpam-4126	53	83	n	n	PRON
ejpam-4126	53	84	such	such	ADJ
ejpam-4126	53	85	that	that	PRON
ejpam-4126	53	86	for	for	ADP
ejpam-4126	53	87	all	all	DET
ejpam-4126	53	88	m	m	NOUN
ejpam-4126	53	89	,	,	PUNCT
ejpam-4126	53	90	n	n	PROPN
ejpam-4126	53	91	>	>	X
ejpam-4126	53	92	n0	n0	PROPN
ejpam-4126	53	93	,	,	PUNCT
ejpam-4126	53	94	g(xn	g(xn	X
ejpam-4126	53	95	,	,	PUNCT
ejpam-4126	53	96	xm	xm	PROPN
ejpam-4126	53	97	,	,	PUNCT
ejpam-4126	53	98	x	x	NOUN
ejpam-4126	53	99	)	)	PUNCT
ejpam-4126	53	100	≪	≪	PUNCT
ejpam-4126	53	101	θ	θ	PROPN
ejpam-4126	53	102	for	for	ADP
ejpam-4126	53	103	some	some	DET
ejpam-4126	53	104	fixed	fix	VERB
ejpam-4126	53	105	x	x	PUNCT
ejpam-4126	53	106	in	in	ADP
ejpam-4126	53	107	x.	x.	NOUN
ejpam-4126	53	108	here	here	ADV
ejpam-4126	53	109	x	x	PUNCT
ejpam-4126	53	110	is	be	AUX
ejpam-4126	53	111	called	call	VERB
ejpam-4126	53	112	the	the	DET
ejpam-4126	53	113	gb	gb	NOUN
ejpam-4126	53	114	-	-	PUNCT
ejpam-4126	53	115	limit	limit	NOUN
ejpam-4126	53	116	of	of	ADP
ejpam-4126	53	117	(	(	PUNCT
ejpam-4126	53	118	xn	xn	PROPN
ejpam-4126	53	119	)	)	PUNCT
ejpam-4126	53	120	and	and	CCONJ
ejpam-4126	53	121	is	be	AUX
ejpam-4126	53	122	denoted	denote	VERB
ejpam-4126	53	123	by	by	ADP
ejpam-4126	53	124	gblim	gblim	NOUN
ejpam-4126	53	125	n→+∞	n→+∞	VERB
ejpam-4126	53	126	xn	xn	PUNCT
ejpam-4126	54	1	=	=	PUNCT
ejpam-4126	54	2	x	x	PROPN
ejpam-4126	54	3	or	or	CCONJ
ejpam-4126	54	4	xn	xn	PROPN
ejpam-4126	54	5	→	→	SYM
ejpam-4126	54	6	x	x	X
ejpam-4126	54	7	as	as	ADP
ejpam-4126	54	8	n	n	PROPN
ejpam-4126	54	9	→	→	SYM
ejpam-4126	54	10	+	+	ADJ
ejpam-4126	54	11	∞.	∞.	PROPN
ejpam-4126	54	12	definition	definition	NOUN
ejpam-4126	54	13	4	4	NUM
ejpam-4126	54	14	.	.	PUNCT
ejpam-4126	55	1	[	[	X
ejpam-4126	55	2	3	3	X
ejpam-4126	55	3	]	]	PUNCT
ejpam-4126	55	4	a	a	DET
ejpam-4126	55	5	gb	gb	NOUN
ejpam-4126	55	6	-	-	PUNCT
ejpam-4126	55	7	cone	cone	NOUN
ejpam-4126	55	8	metric	metric	ADJ
ejpam-4126	55	9	space	space	NOUN
ejpam-4126	55	10	x	x	PUNCT
ejpam-4126	55	11	is	be	AUX
ejpam-4126	55	12	a	a	DET
ejpam-4126	55	13	gb	gb	ADV
ejpam-4126	55	14	-	-	PUNCT
ejpam-4126	55	15	complete	complete	ADJ
ejpam-4126	55	16	cone	cone	NOUN
ejpam-4126	55	17	metric	metric	ADJ
ejpam-4126	55	18	space	space	NOUN
ejpam-4126	55	19	,	,	PUNCT
ejpam-4126	55	20	if	if	SCONJ
ejpam-4126	55	21	every	every	DET
ejpam-4126	55	22	gb	gb	NOUN
ejpam-4126	55	23	-	-	PUNCT
ejpam-4126	55	24	cone	cone	NOUN
ejpam-4126	55	25	cauchy	cauchy	NOUN
ejpam-4126	55	26	sequence	sequence	NOUN
ejpam-4126	55	27	in	in	ADP
ejpam-4126	55	28	x	x	PROPN
ejpam-4126	55	29	is	be	AUX
ejpam-4126	55	30	gb	gb	ADV
ejpam-4126	55	31	-	-	PUNCT
ejpam-4126	55	32	cone	cone	NOUN
ejpam-4126	55	33	convergent	convergent	NOUN
ejpam-4126	55	34	in	in	ADP
ejpam-4126	55	35	x.	x.	NOUN
ejpam-4126	55	36	next	next	ADV
ejpam-4126	55	37	,	,	PUNCT
ejpam-4126	55	38	we	we	PRON
ejpam-4126	55	39	state	state	VERB
ejpam-4126	55	40	some	some	DET
ejpam-4126	55	41	gb	gb	NOUN
ejpam-4126	55	42	-	-	PUNCT
ejpam-4126	55	43	cone	cone	NOUN
ejpam-4126	55	44	convergence	convergence	NOUN
ejpam-4126	55	45	results	result	NOUN
ejpam-4126	55	46	.	.	PUNCT
ejpam-4126	56	1	proposition	proposition	NOUN
ejpam-4126	56	2	1	1	NUM
ejpam-4126	56	3	.	.	PUNCT
ejpam-4126	57	1	[	[	X
ejpam-4126	57	2	3	3	X
ejpam-4126	57	3	]	]	X
ejpam-4126	57	4	let	let	VERB
ejpam-4126	57	5	(	(	PUNCT
ejpam-4126	57	6	x	x	NOUN
ejpam-4126	57	7	,	,	PUNCT
ejpam-4126	57	8	g	g	NOUN
ejpam-4126	57	9	)	)	PUNCT
ejpam-4126	57	10	be	be	AUX
ejpam-4126	57	11	a	a	DET
ejpam-4126	57	12	gb	gb	NOUN
ejpam-4126	57	13	-	-	PUNCT
ejpam-4126	57	14	cone	cone	NOUN
ejpam-4126	57	15	metric	metric	ADJ
ejpam-4126	57	16	space	space	NOUN
ejpam-4126	57	17	.	.	PUNCT
ejpam-4126	58	1	then	then	ADV
ejpam-4126	58	2	the	the	DET
ejpam-4126	58	3	following	follow	VERB
ejpam-4126	58	4	conditions	condition	NOUN
ejpam-4126	58	5	are	be	AUX
ejpam-4126	58	6	equivalent	equivalent	ADJ
ejpam-4126	58	7	(	(	PUNCT
ejpam-4126	58	8	1	1	NUM
ejpam-4126	58	9	)	)	PUNCT
ejpam-4126	58	10	(	(	PUNCT
ejpam-4126	58	11	xn	xn	X
ejpam-4126	58	12	)	)	PUNCT
ejpam-4126	58	13	is	be	AUX
ejpam-4126	58	14	gb	gb	ADV
ejpam-4126	58	15	-	-	PUNCT
ejpam-4126	58	16	cone	cone	NOUN
ejpam-4126	58	17	cauchy	cauchy	NOUN
ejpam-4126	58	18	in	in	ADP
ejpam-4126	58	19	x.	x.	PROPN
ejpam-4126	58	20	(	(	PUNCT
ejpam-4126	58	21	2	2	NUM
ejpam-4126	58	22	)	)	PUNCT
ejpam-4126	58	23	for	for	ADP
ejpam-4126	58	24	every	every	DET
ejpam-4126	58	25	c	c	PROPN
ejpam-4126	58	26	∈	∈	PROPN
ejpam-4126	58	27	e	e	NOUN
ejpam-4126	58	28	with	with	ADP
ejpam-4126	58	29	θ	θ	PROPN
ejpam-4126	58	30	≪	≪	PUNCT
ejpam-4126	58	31	c	c	X
ejpam-4126	58	32	,	,	PUNCT
ejpam-4126	58	33	there	there	PRON
ejpam-4126	58	34	is	be	VERB
ejpam-4126	58	35	n0	n0	NUM
ejpam-4126	58	36	∈	∈	PROPN
ejpam-4126	58	37	n	n	PRON
ejpam-4126	58	38	such	such	ADJ
ejpam-4126	58	39	that	that	PRON
ejpam-4126	58	40	for	for	ADP
ejpam-4126	58	41	all	all	DET
ejpam-4126	58	42	n	n	CCONJ
ejpam-4126	58	43	,	,	PUNCT
ejpam-4126	58	44	m	m	VERB
ejpam-4126	58	45	>	>	X
ejpam-4126	58	46	n0	n0	PROPN
ejpam-4126	58	47	,	,	PUNCT
ejpam-4126	58	48	g(xn	g(xn	X
ejpam-4126	58	49	,	,	PUNCT
ejpam-4126	58	50	xm	xm	PROPN
ejpam-4126	58	51	,	,	PUNCT
ejpam-4126	58	52	xm	xm	PROPN
ejpam-4126	58	53	)	)	PUNCT
ejpam-4126	58	54	≪	≪	PUNCT
ejpam-4126	58	55	θ	θ	PROPN
ejpam-4126	58	56	.	.	PUNCT
ejpam-4126	58	57	lemma	lemma	PROPN
ejpam-4126	58	58	2	2	NUM
ejpam-4126	58	59	.	.	PUNCT
ejpam-4126	59	1	[	[	X
ejpam-4126	59	2	3	3	X
ejpam-4126	59	3	]	]	X
ejpam-4126	59	4	let	let	VERB
ejpam-4126	59	5	(	(	PUNCT
ejpam-4126	59	6	x	x	NOUN
ejpam-4126	59	7	,	,	PUNCT
ejpam-4126	59	8	g	g	NOUN
ejpam-4126	59	9	)	)	PUNCT
ejpam-4126	59	10	be	be	AUX
ejpam-4126	59	11	a	a	DET
ejpam-4126	59	12	gb	gb	NOUN
ejpam-4126	59	13	-	-	PUNCT
ejpam-4126	59	14	cone	cone	NOUN
ejpam-4126	59	15	metric	metric	ADJ
ejpam-4126	59	16	space	space	NOUN
ejpam-4126	59	17	and	and	CCONJ
ejpam-4126	59	18	p	p	X
ejpam-4126	59	19	a	a	DET
ejpam-4126	59	20	normal	normal	ADJ
ejpam-4126	59	21	cone	cone	NOUN
ejpam-4126	59	22	with	with	ADP
ejpam-4126	59	23	normal	normal	ADJ
ejpam-4126	59	24	constant	constant	ADJ
ejpam-4126	59	25	k.	k.	PROPN
ejpam-4126	59	26	a	a	DET
ejpam-4126	59	27	sequence	sequence	NOUN
ejpam-4126	59	28	(	(	PUNCT
ejpam-4126	59	29	xn	xn	X
ejpam-4126	59	30	)	)	PUNCT
ejpam-4126	59	31	⊂	⊂	PROPN
ejpam-4126	60	1	x	x	PUNCT
ejpam-4126	60	2	is	be	AUX
ejpam-4126	60	3	gb	gb	ADV
ejpam-4126	60	4	-	-	PUNCT
ejpam-4126	60	5	cone	cone	NOUN
ejpam-4126	60	6	convergent	convergent	NOUN
ejpam-4126	60	7	to	to	ADP
ejpam-4126	60	8	x	x	VERB
ejpam-4126	60	9	if	if	SCONJ
ejpam-4126	60	10	and	and	CCONJ
ejpam-4126	60	11	only	only	ADV
ejpam-4126	60	12	if	if	SCONJ
ejpam-4126	60	13	g(xn	g(xn	NOUN
ejpam-4126	60	14	,	,	PUNCT
ejpam-4126	60	15	xm	xm	PROPN
ejpam-4126	60	16	,	,	PUNCT
ejpam-4126	60	17	x	x	NOUN
ejpam-4126	60	18	)	)	PUNCT
ejpam-4126	60	19	→	→	SYM
ejpam-4126	60	20	θ	θ	PROPN
ejpam-4126	60	21	,	,	PUNCT
ejpam-4126	60	22	as	as	ADP
ejpam-4126	60	23	n	n	X
ejpam-4126	60	24	,	,	PUNCT
ejpam-4126	60	25	m	m	PROPN
ejpam-4126	60	26	→	→	SYM
ejpam-4126	60	27	+	+	ADJ
ejpam-4126	60	28	∞.	∞.	PROPN
ejpam-4126	60	29	proposition	proposition	NOUN
ejpam-4126	60	30	2	2	NUM
ejpam-4126	60	31	.	.	PUNCT
ejpam-4126	61	1	[	[	X
ejpam-4126	61	2	3	3	X
ejpam-4126	61	3	]	]	X
ejpam-4126	61	4	let	let	VERB
ejpam-4126	61	5	(	(	PUNCT
ejpam-4126	61	6	x	x	NOUN
ejpam-4126	61	7	,	,	PUNCT
ejpam-4126	61	8	g	g	NOUN
ejpam-4126	61	9	)	)	PUNCT
ejpam-4126	61	10	be	be	AUX
ejpam-4126	61	11	a	a	DET
ejpam-4126	61	12	gb	gb	NOUN
ejpam-4126	61	13	-	-	PUNCT
ejpam-4126	61	14	cone	cone	NOUN
ejpam-4126	61	15	metric	metric	ADJ
ejpam-4126	61	16	space	space	NOUN
ejpam-4126	61	17	and	and	CCONJ
ejpam-4126	61	18	p	p	NOUN
ejpam-4126	61	19	be	be	AUX
ejpam-4126	61	20	a	a	DET
ejpam-4126	61	21	normal	normal	ADJ
ejpam-4126	61	22	cone	cone	NOUN
ejpam-4126	61	23	with	with	ADP
ejpam-4126	61	24	normal	normal	ADJ
ejpam-4126	61	25	constant	constant	ADJ
ejpam-4126	61	26	k.	k.	NOUN
ejpam-4126	62	1	the	the	DET
ejpam-4126	62	2	following	follow	VERB
ejpam-4126	62	3	conditions	condition	NOUN
ejpam-4126	62	4	are	be	AUX
ejpam-4126	62	5	equivalent	equivalent	ADJ
ejpam-4126	62	6	(	(	PUNCT
ejpam-4126	62	7	1	1	NUM
ejpam-4126	62	8	)	)	PUNCT
ejpam-4126	62	9	(	(	PUNCT
ejpam-4126	62	10	xn	xn	X
ejpam-4126	62	11	)	)	PUNCT
ejpam-4126	62	12	is	be	AUX
ejpam-4126	62	13	gb	gb	ADV
ejpam-4126	62	14	-	-	PUNCT
ejpam-4126	62	15	cone	cone	NOUN
ejpam-4126	62	16	convergent	convergent	NOUN
ejpam-4126	62	17	to	to	ADP
ejpam-4126	62	18	x	x	PRON
ejpam-4126	62	19	,	,	PUNCT
ejpam-4126	62	20	(	(	PUNCT
ejpam-4126	62	21	2	2	X
ejpam-4126	62	22	)	)	PUNCT
ejpam-4126	62	23	g(xn	g(xn	NOUN
ejpam-4126	62	24	,	,	PUNCT
ejpam-4126	62	25	xn	xn	PROPN
ejpam-4126	62	26	,	,	PUNCT
ejpam-4126	62	27	x	x	NOUN
ejpam-4126	62	28	)	)	PUNCT
ejpam-4126	62	29	→	→	SYM
ejpam-4126	62	30	θ	θ	PROPN
ejpam-4126	62	31	,	,	PUNCT
ejpam-4126	62	32	as	as	ADP
ejpam-4126	62	33	n	n	NOUN
ejpam-4126	62	34	→	→	SYM
ejpam-4126	62	35	+	+	NOUN
ejpam-4126	62	36	∞	∞	PROPN
ejpam-4126	62	37	,	,	PUNCT
ejpam-4126	62	38	(	(	PUNCT
ejpam-4126	62	39	3	3	X
ejpam-4126	62	40	)	)	PUNCT
ejpam-4126	62	41	g(xn	g(xn	NOUN
ejpam-4126	62	42	,	,	PUNCT
ejpam-4126	62	43	x	x	X
ejpam-4126	62	44	,	,	PUNCT
ejpam-4126	62	45	x	x	X
ejpam-4126	62	46	)	)	PUNCT
ejpam-4126	62	47	→	→	SYM
ejpam-4126	62	48	θ	θ	PROPN
ejpam-4126	62	49	,	,	PUNCT
ejpam-4126	62	50	as	as	ADP
ejpam-4126	62	51	n	n	NOUN
ejpam-4126	62	52	→	→	SYM
ejpam-4126	62	53	+	+	NOUN
ejpam-4126	62	54	∞	∞	PROPN
ejpam-4126	62	55	,	,	PUNCT
ejpam-4126	62	56	(	(	PUNCT
ejpam-4126	62	57	4	4	X
ejpam-4126	62	58	)	)	PUNCT
ejpam-4126	62	59	g(xm	g(xm	NOUN
ejpam-4126	62	60	,	,	PUNCT
ejpam-4126	62	61	xn	xn	PROPN
ejpam-4126	62	62	,	,	PUNCT
ejpam-4126	62	63	x	x	NOUN
ejpam-4126	62	64	)	)	PUNCT
ejpam-4126	62	65	→	→	SYM
ejpam-4126	62	66	θ	θ	PROPN
ejpam-4126	62	67	,	,	PUNCT
ejpam-4126	62	68	as	as	ADP
ejpam-4126	62	69	n	n	X
ejpam-4126	62	70	,	,	PUNCT
ejpam-4126	62	71	m	m	PROPN
ejpam-4126	62	72	→	→	SYM
ejpam-4126	62	73	+	+	NUM
ejpam-4126	62	74	∞.	∞.	PROPN
ejpam-4126	62	75	lemma	lemma	PROPN
ejpam-4126	62	76	3	3	X
ejpam-4126	62	77	.	.	PUNCT
ejpam-4126	63	1	[	[	X
ejpam-4126	63	2	3	3	X
ejpam-4126	63	3	]	]	X
ejpam-4126	63	4	let	let	VERB
ejpam-4126	63	5	(	(	PUNCT
ejpam-4126	63	6	x	x	NOUN
ejpam-4126	63	7	,	,	PUNCT
ejpam-4126	63	8	g	g	NOUN
ejpam-4126	63	9	)	)	PUNCT
ejpam-4126	63	10	be	be	AUX
ejpam-4126	63	11	a	a	DET
ejpam-4126	63	12	complete	complete	ADJ
ejpam-4126	63	13	gb	gb	NOUN
ejpam-4126	63	14	-	-	PUNCT
ejpam-4126	63	15	cone	cone	NOUN
ejpam-4126	63	16	metric	metric	ADJ
ejpam-4126	63	17	space	space	NOUN
ejpam-4126	63	18	and	and	CCONJ
ejpam-4126	63	19	p	p	NOUN
ejpam-4126	63	20	be	be	AUX
ejpam-4126	63	21	a	a	DET
ejpam-4126	63	22	normal	normal	ADJ
ejpam-4126	63	23	cone	cone	NOUN
ejpam-4126	63	24	with	with	ADP
ejpam-4126	63	25	normal	normal	ADJ
ejpam-4126	63	26	constant	constant	ADJ
ejpam-4126	63	27	k.	k.	PROPN
ejpam-4126	64	1	if	if	SCONJ
ejpam-4126	64	2	(	(	PUNCT
ejpam-4126	64	3	xn	xn	X
ejpam-4126	64	4	)	)	PUNCT
ejpam-4126	64	5	⊂	⊂	X
ejpam-4126	64	6	x	x	PUNCT
ejpam-4126	64	7	gb	gb	X
ejpam-4126	64	8	-	-	PUNCT
ejpam-4126	64	9	cone	cone	NOUN
ejpam-4126	64	10	converges	converge	NOUN
ejpam-4126	64	11	to	to	ADP
ejpam-4126	64	12	x	x	SYM
ejpam-4126	64	13	and	and	CCONJ
ejpam-4126	64	14	gb	gb	NOUN
ejpam-4126	64	15	-	-	PUNCT
ejpam-4126	64	16	cone	cone	NOUN
ejpam-4126	64	17	converges	converge	NOUN
ejpam-4126	64	18	to	to	ADP
ejpam-4126	64	19	y	y	PRON
ejpam-4126	64	20	,	,	PUNCT
ejpam-4126	64	21	then	then	ADV
ejpam-4126	64	22	x	x	X
ejpam-4126	64	23	=	=	SYM
ejpam-4126	64	24	y	y	PROPN
ejpam-4126	64	25	(	(	PUNCT
ejpam-4126	64	26	the	the	DET
ejpam-4126	64	27	limit	limit	NOUN
ejpam-4126	64	28	of	of	ADP
ejpam-4126	64	29	(	(	PUNCT
ejpam-4126	64	30	xn	xn	X
ejpam-4126	64	31	)	)	PUNCT
ejpam-4126	64	32	is	be	AUX
ejpam-4126	64	33	unique	unique	ADJ
ejpam-4126	64	34	)	)	PUNCT
ejpam-4126	64	35	.	.	PUNCT
ejpam-4126	65	1	proposition	proposition	NOUN
ejpam-4126	65	2	3	3	NUM
ejpam-4126	65	3	.	.	PUNCT
ejpam-4126	66	1	[	[	X
ejpam-4126	66	2	3	3	X
ejpam-4126	66	3	]	]	X
ejpam-4126	66	4	let	let	VERB
ejpam-4126	66	5	(	(	PUNCT
ejpam-4126	66	6	x	x	NOUN
ejpam-4126	66	7	,	,	PUNCT
ejpam-4126	66	8	g	g	NOUN
ejpam-4126	66	9	)	)	PUNCT
ejpam-4126	66	10	be	be	AUX
ejpam-4126	66	11	a	a	DET
ejpam-4126	66	12	gb	gb	NOUN
ejpam-4126	66	13	-	-	PUNCT
ejpam-4126	66	14	cone	cone	NOUN
ejpam-4126	66	15	metric	metric	ADJ
ejpam-4126	66	16	space	space	NOUN
ejpam-4126	66	17	and	and	CCONJ
ejpam-4126	66	18	p	p	NOUN
ejpam-4126	66	19	be	be	AUX
ejpam-4126	66	20	a	a	DET
ejpam-4126	66	21	normal	normal	ADJ
ejpam-4126	66	22	cone	cone	NOUN
ejpam-4126	66	23	with	with	ADP
ejpam-4126	66	24	normal	normal	ADJ
ejpam-4126	66	25	constant	constant	ADJ
ejpam-4126	66	26	k.	k.	PROPN
ejpam-4126	67	1	then	then	ADV
ejpam-4126	67	2	sequence	sequence	NOUN
ejpam-4126	67	3	(	(	PUNCT
ejpam-4126	67	4	xn	xn	X
ejpam-4126	67	5	)	)	PUNCT
ejpam-4126	67	6	is	be	AUX
ejpam-4126	67	7	gb	gb	ADV
ejpam-4126	67	8	-	-	PUNCT
ejpam-4126	67	9	cone	cone	NOUN
ejpam-4126	67	10	cauchy	cauchy	NOUN
ejpam-4126	67	11	if	if	SCONJ
ejpam-4126	67	12	and	and	CCONJ
ejpam-4126	67	13	only	only	ADV
ejpam-4126	67	14	if	if	SCONJ
ejpam-4126	67	15	g(xn	g(xn	NOUN
ejpam-4126	67	16	,	,	PUNCT
ejpam-4126	67	17	xm	xm	PROPN
ejpam-4126	67	18	,	,	PUNCT
ejpam-4126	67	19	xl	xl	PROPN
ejpam-4126	67	20	)	)	PUNCT
ejpam-4126	67	21	→	→	SYM
ejpam-4126	67	22	θ	θ	PROPN
ejpam-4126	67	23	,	,	PUNCT
ejpam-4126	67	24	as	as	ADP
ejpam-4126	67	25	n	n	CCONJ
ejpam-4126	67	26	,	,	PUNCT
ejpam-4126	67	27	m	m	PROPN
ejpam-4126	67	28	,	,	PUNCT
ejpam-4126	67	29	l	l	PROPN
ejpam-4126	67	30	→	→	PUNCT
ejpam-4126	67	31	+	+	ADJ
ejpam-4126	67	32	∞.	∞.	PROPN
ejpam-4126	67	33	definition	definition	NOUN
ejpam-4126	67	34	5	5	NUM
ejpam-4126	67	35	.	.	PUNCT
ejpam-4126	68	1	let	let	VERB
ejpam-4126	68	2	f	f	PROPN
ejpam-4126	68	3	and	and	CCONJ
ejpam-4126	68	4	f	f	PROPN
ejpam-4126	68	5	be	be	VERB
ejpam-4126	68	6	self	self	NOUN
ejpam-4126	68	7	mappings	mapping	NOUN
ejpam-4126	68	8	of	of	ADP
ejpam-4126	68	9	a	a	DET
ejpam-4126	68	10	set	set	NOUN
ejpam-4126	68	11	x.	x.	NOUN
ejpam-4126	69	1	if	if	SCONJ
ejpam-4126	69	2	y	y	PROPN
ejpam-4126	69	3	=	=	SYM
ejpam-4126	69	4	fx	fx	PROPN
ejpam-4126	69	5	=	=	PUNCT
ejpam-4126	69	6	fx	fx	PROPN
ejpam-4126	69	7	for	for	ADP
ejpam-4126	69	8	some	some	PRON
ejpam-4126	69	9	x	x	PUNCT
ejpam-4126	69	10	in	in	ADP
ejpam-4126	69	11	x	x	NOUN
ejpam-4126	69	12	,	,	PUNCT
ejpam-4126	69	13	then	then	ADV
ejpam-4126	69	14	x	x	PUNCT
ejpam-4126	69	15	is	be	AUX
ejpam-4126	69	16	called	call	VERB
ejpam-4126	69	17	a	a	DET
ejpam-4126	69	18	coincidence	coincidence	NOUN
ejpam-4126	69	19	point	point	NOUN
ejpam-4126	69	20	of	of	ADP
ejpam-4126	69	21	f	f	PROPN
ejpam-4126	69	22	and	and	CCONJ
ejpam-4126	69	23	f	f	PROPN
ejpam-4126	69	24	and	and	CCONJ
ejpam-4126	69	25	y	y	PROPN
ejpam-4126	69	26	is	be	AUX
ejpam-4126	69	27	called	call	VERB
ejpam-4126	69	28	a	a	DET
ejpam-4126	69	29	point	point	NOUN
ejpam-4126	69	30	of	of	ADP
ejpam-4126	69	31	coincidence	coincidence	NOUN
ejpam-4126	69	32	of	of	ADP
ejpam-4126	69	33	f	f	PROPN
ejpam-4126	69	34	and	and	CCONJ
ejpam-4126	69	35	f	f	PROPN
ejpam-4126	69	36	.	.	PUNCT
ejpam-4126	70	1	definition	definition	NOUN
ejpam-4126	70	2	6	6	NUM
ejpam-4126	70	3	.	.	PUNCT
ejpam-4126	71	1	the	the	DET
ejpam-4126	71	2	self	self	NOUN
ejpam-4126	71	3	-	-	PUNCT
ejpam-4126	71	4	mappings	mapping	NOUN
ejpam-4126	71	5	f	f	NOUN
ejpam-4126	71	6	and	and	CCONJ
ejpam-4126	71	7	f	f	PROPN
ejpam-4126	71	8	of	of	ADP
ejpam-4126	71	9	a	a	DET
ejpam-4126	71	10	set	set	NOUN
ejpam-4126	71	11	x	x	SYM
ejpam-4126	71	12	are	be	AUX
ejpam-4126	71	13	said	say	VERB
ejpam-4126	71	14	to	to	PART
ejpam-4126	71	15	be	be	AUX
ejpam-4126	71	16	weakly	weakly	ADV
ejpam-4126	71	17	compatible	compatible	ADJ
ejpam-4126	71	18	if	if	SCONJ
ejpam-4126	71	19	they	they	PRON
ejpam-4126	71	20	commute	commute	VERB
ejpam-4126	71	21	at	at	ADP
ejpam-4126	71	22	their	their	PRON
ejpam-4126	71	23	coincidence	coincidence	NOUN
ejpam-4126	71	24	points	point	NOUN
ejpam-4126	71	25	,	,	PUNCT
ejpam-4126	71	26	that	that	ADV
ejpam-4126	71	27	is	is	ADV
ejpam-4126	71	28	,	,	PUNCT
ejpam-4126	71	29	if	if	SCONJ
ejpam-4126	71	30	fu	fu	NOUN
ejpam-4126	71	31	=	=	PUNCT
ejpam-4126	71	32	fu	fu	NOUN
ejpam-4126	71	33	for	for	ADP
ejpam-4126	71	34	some	some	DET
ejpam-4126	71	35	u	u	NOUN
ejpam-4126	71	36	in	in	ADP
ejpam-4126	71	37	x	x	PRON
ejpam-4126	71	38	,	,	PUNCT
ejpam-4126	71	39	then	then	ADV
ejpam-4126	71	40	ffu	ffu	NOUN
ejpam-4126	71	41	=	=	SYM
ejpam-4126	71	42	ffu	ffu	NOUN
ejpam-4126	71	43	.	.	PUNCT
ejpam-4126	72	1	proposition	proposition	NOUN
ejpam-4126	72	2	4	4	NUM
ejpam-4126	72	3	.	.	PUNCT
ejpam-4126	73	1	[	[	X
ejpam-4126	73	2	7	7	X
ejpam-4126	73	3	]	]	X
ejpam-4126	73	4	let	let	VERB
ejpam-4126	73	5	f	f	PROPN
ejpam-4126	73	6	and	and	CCONJ
ejpam-4126	73	7	f	f	PROPN
ejpam-4126	73	8	be	be	AUX
ejpam-4126	73	9	weakly	weakly	ADV
ejpam-4126	73	10	compatible	compatible	ADJ
ejpam-4126	73	11	self	self	NOUN
ejpam-4126	73	12	mappings	mapping	NOUN
ejpam-4126	73	13	of	of	ADP
ejpam-4126	73	14	a	a	DET
ejpam-4126	73	15	set	set	NOUN
ejpam-4126	73	16	x.	x.	NOUN
ejpam-4126	73	17	if	if	SCONJ
ejpam-4126	73	18	f	f	PROPN
ejpam-4126	73	19	and	and	CCONJ
ejpam-4126	73	20	f	f	PROPN
ejpam-4126	73	21	have	have	VERB
ejpam-4126	73	22	a	a	DET
ejpam-4126	73	23	unique	unique	ADJ
ejpam-4126	73	24	point	point	NOUN
ejpam-4126	73	25	of	of	ADP
ejpam-4126	73	26	coincidence	coincidence	NOUN
ejpam-4126	73	27	,	,	PUNCT
ejpam-4126	73	28	that	that	ADV
ejpam-4126	73	29	is	is	ADV
ejpam-4126	73	30	,	,	PUNCT
ejpam-4126	73	31	y	y	PROPN
ejpam-4126	73	32	=	=	PUNCT
ejpam-4126	73	33	fx	fx	PROPN
ejpam-4126	73	34	=	=	SYM
ejpam-4126	73	35	fx	fx	PROPN
ejpam-4126	73	36	,	,	PUNCT
ejpam-4126	73	37	then	then	ADV
ejpam-4126	73	38	y	y	PROPN
ejpam-4126	73	39	is	be	AUX
ejpam-4126	73	40	the	the	DET
ejpam-4126	73	41	unique	unique	ADJ
ejpam-4126	73	42	common	common	ADJ
ejpam-4126	73	43	fixed	fix	VERB
ejpam-4126	73	44	point	point	NOUN
ejpam-4126	73	45	of	of	ADP
ejpam-4126	73	46	f	f	PROPN
ejpam-4126	73	47	and	and	CCONJ
ejpam-4126	73	48	f	f	PROPN
ejpam-4126	73	49	.	.	PUNCT
ejpam-4126	74	1	s.	s.	PROPN
ejpam-4126	74	2	benchabane	benchabane	PROPN
ejpam-4126	74	3	,	,	PUNCT
ejpam-4126	74	4	s.	s.	PROPN
ejpam-4126	74	5	djebali	djebali	PROPN
ejpam-4126	74	6	/	/	SYM
ejpam-4126	74	7	eur	eur	PROPN
ejpam-4126	74	8	.	.	PUNCT
ejpam-4126	75	1	j.	j.	PROPN
ejpam-4126	75	2	pure	pure	PROPN
ejpam-4126	75	3	appl	appl	PROPN
ejpam-4126	75	4	.	.	PROPN
ejpam-4126	75	5	math	math	PROPN
ejpam-4126	75	6	,	,	PUNCT
ejpam-4126	75	7	14	14	NUM
ejpam-4126	75	8	(	(	PUNCT
ejpam-4126	75	9	4	4	NUM
ejpam-4126	75	10	)	)	PUNCT
ejpam-4126	75	11	(	(	PUNCT
ejpam-4126	75	12	2021	2021	NUM
ejpam-4126	75	13	)	)	PUNCT
ejpam-4126	75	14	,	,	PUNCT
ejpam-4126	75	15	1350	1350	NUM
ejpam-4126	75	16	-	-	SYM
ejpam-4126	75	17	1366	1366	NUM
ejpam-4126	75	18	1353	1353	NUM
ejpam-4126	75	19	2	2	NUM
ejpam-4126	75	20	.	.	PUNCT
ejpam-4126	75	21	main	main	ADJ
ejpam-4126	75	22	results	result	NOUN
ejpam-4126	75	23	our	our	PRON
ejpam-4126	75	24	existence	existence	NOUN
ejpam-4126	75	25	first	first	ADV
ejpam-4126	75	26	results	result	VERB
ejpam-4126	75	27	for	for	ADP
ejpam-4126	75	28	coincidence	coincidence	NOUN
ejpam-4126	75	29	common	common	ADJ
ejpam-4126	75	30	fixed	fix	VERB
ejpam-4126	75	31	points	point	NOUN
ejpam-4126	75	32	no	no	DET
ejpam-4126	75	33	condition	condition	NOUN
ejpam-4126	75	34	of	of	ADP
ejpam-4126	75	35	normality	normality	NOUN
ejpam-4126	75	36	assumed	assume	VERB
ejpam-4126	75	37	.	.	PUNCT
ejpam-4126	76	1	theorem	theorem	NOUN
ejpam-4126	76	2	1	1	X
ejpam-4126	76	3	.	.	PUNCT
ejpam-4126	77	1	let	let	AUX
ejpam-4126	77	2	(	(	PUNCT
ejpam-4126	77	3	x	x	NOUN
ejpam-4126	77	4	,	,	PUNCT
ejpam-4126	77	5	g	g	NOUN
ejpam-4126	77	6	)	)	PUNCT
ejpam-4126	77	7	be	be	VERB
ejpam-4126	77	8	a	a	DET
ejpam-4126	77	9	cone	cone	NOUN
ejpam-4126	77	10	gb	gb	ADV
ejpam-4126	77	11	-	-	PUNCT
ejpam-4126	77	12	metric	metric	ADJ
ejpam-4126	77	13	space	space	NOUN
ejpam-4126	77	14	with	with	ADP
ejpam-4126	77	15	the	the	DET
ejpam-4126	77	16	coefficient	coefficient	NOUN
ejpam-4126	77	17	s	s	PART
ejpam-4126	77	18	≥	≥	NOUN
ejpam-4126	77	19	1	1	NUM
ejpam-4126	77	20	relative	relative	ADJ
ejpam-4126	77	21	to	to	ADP
ejpam-4126	77	22	a	a	DET
ejpam-4126	77	23	solid	solid	ADJ
ejpam-4126	77	24	cone	cone	NOUN
ejpam-4126	77	25	p	p	NOUN
ejpam-4126	77	26	.	.	PUNCT
ejpam-4126	78	1	suppose	suppose	VERB
ejpam-4126	78	2	that	that	SCONJ
ejpam-4126	78	3	the	the	DET
ejpam-4126	78	4	mappings	mapping	NOUN
ejpam-4126	78	5	f	f	X
ejpam-4126	78	6	,	,	PUNCT
ejpam-4126	78	7	t	t	PROPN
ejpam-4126	78	8	,	,	PUNCT
ejpam-4126	78	9	r	r	NOUN
ejpam-4126	78	10	,	,	PUNCT
ejpam-4126	78	11	f	f	NOUN
ejpam-4126	78	12	:	:	PUNCT
ejpam-4126	78	13	x	x	X
ejpam-4126	78	14	→	→	PUNCT
ejpam-4126	78	15	x	x	PUNCT
ejpam-4126	78	16	satisfy	satisfy	VERB
ejpam-4126	78	17	the	the	DET
ejpam-4126	78	18	condition	condition	NOUN
ejpam-4126	78	19	that	that	SCONJ
ejpam-4126	78	20	for	for	ADP
ejpam-4126	78	21	some	some	DET
ejpam-4126	78	22	constant	constant	ADJ
ejpam-4126	78	23	λ	λ	X
ejpam-4126	78	24	∈	∈	PROPN
ejpam-4126	78	25	[	[	X
ejpam-4126	78	26	0	0	NUM
ejpam-4126	78	27	,	,	PUNCT
ejpam-4126	78	28	12	12	NUM
ejpam-4126	78	29	)	)	PUNCT
ejpam-4126	78	30	and	and	CCONJ
ejpam-4126	78	31	for	for	ADP
ejpam-4126	78	32	all	all	DET
ejpam-4126	78	33	x	x	NOUN
ejpam-4126	78	34	,	,	PUNCT
ejpam-4126	78	35	y	y	PROPN
ejpam-4126	78	36	,	,	PUNCT
ejpam-4126	78	37	z	z	PROPN
ejpam-4126	78	38	∈	∈	PROPN
ejpam-4126	78	39	x	x	X
ejpam-4126	78	40	,	,	PUNCT
ejpam-4126	78	41	there	there	PRON
ejpam-4126	78	42	exists	exist	VERB
ejpam-4126	78	43	m(x	m(x	PROPN
ejpam-4126	78	44	,	,	PUNCT
ejpam-4126	78	45	y	y	PROPN
ejpam-4126	78	46	,	,	PUNCT
ejpam-4126	78	47	z	z	NOUN
ejpam-4126	78	48	)	)	PUNCT
ejpam-4126	78	49	∈	∈	PROPN
ejpam-4126	78	50	{	{	PUNCT
ejpam-4126	78	51	g(fx	g(fx	NOUN
ejpam-4126	78	52	,	,	PUNCT
ejpam-4126	78	53	fy	fy	PROPN
ejpam-4126	78	54	,	,	PUNCT
ejpam-4126	78	55	fz	fz	PROPN
ejpam-4126	78	56	)	)	PUNCT
ejpam-4126	78	57	,	,	PUNCT
ejpam-4126	78	58	g(fx	g(fx	NOUN
ejpam-4126	78	59	,	,	PUNCT
ejpam-4126	78	60	fy	fy	PROPN
ejpam-4126	78	61	,	,	PUNCT
ejpam-4126	78	62	fz	fz	PROPN
ejpam-4126	78	63	)	)	PUNCT
ejpam-4126	78	64	,	,	PUNCT
ejpam-4126	78	65	g(fx	g(fx	NOUN
ejpam-4126	78	66	,	,	PUNCT
ejpam-4126	78	67	ty	ty	PRON
ejpam-4126	78	68	,	,	PUNCT
ejpam-4126	78	69	fz	fz	NOUN
ejpam-4126	78	70	)	)	PUNCT
ejpam-4126	78	71	,	,	PUNCT
ejpam-4126	78	72	g(fx	g(fx	NOUN
ejpam-4126	78	73	,	,	PUNCT
ejpam-4126	78	74	fy	fy	PROPN
ejpam-4126	78	75	,	,	PUNCT
ejpam-4126	78	76	rz	rz	NOUN
ejpam-4126	78	77	)	)	PUNCT
ejpam-4126	78	78	,	,	PUNCT
ejpam-4126	78	79	g(fx	g(fx	NOUN
ejpam-4126	78	80	,	,	PUNCT
ejpam-4126	78	81	ty	ty	INTJ
ejpam-4126	78	82	,	,	PUNCT
ejpam-4126	78	83	rz	rz	NOUN
ejpam-4126	78	84	)	)	PUNCT
ejpam-4126	78	85	,	,	PUNCT
ejpam-4126	78	86	g(fx	g(fx	NOUN
ejpam-4126	78	87	,	,	PUNCT
ejpam-4126	78	88	fy	fy	PROPN
ejpam-4126	78	89	,	,	PUNCT
ejpam-4126	78	90	rz	rz	NOUN
ejpam-4126	78	91	)	)	PUNCT
ejpam-4126	78	92	,	,	PUNCT
ejpam-4126	78	93	g(fx	g(fx	NOUN
ejpam-4126	78	94	,	,	PUNCT
ejpam-4126	78	95	ty	ty	PRON
ejpam-4126	78	96	,	,	PUNCT
ejpam-4126	78	97	fz	fz	NOUN
ejpam-4126	78	98	)	)	PUNCT
ejpam-4126	78	99	,	,	PUNCT
ejpam-4126	78	100	g(fx	g(fx	NOUN
ejpam-4126	78	101	,	,	PUNCT
ejpam-4126	78	102	fx	fx	PROPN
ejpam-4126	78	103	,	,	PUNCT
ejpam-4126	78	104	fx	fx	PROPN
ejpam-4126	78	105	)	)	PUNCT
ejpam-4126	78	106	,	,	PUNCT
ejpam-4126	78	107	g(ty	g(ty	PROPN
ejpam-4126	78	108	,	,	PUNCT
ejpam-4126	78	109	ty	ty	INTJ
ejpam-4126	78	110	,	,	PUNCT
ejpam-4126	78	111	fy	fy	PROPN
ejpam-4126	78	112	)	)	PUNCT
ejpam-4126	78	113	,	,	PUNCT
ejpam-4126	78	114	g(rz	g(rz	PROPN
ejpam-4126	78	115	,	,	PUNCT
ejpam-4126	78	116	rz	rz	NOUN
ejpam-4126	78	117	,	,	PUNCT
ejpam-4126	78	118	fz	fz	NOUN
ejpam-4126	78	119	)	)	PUNCT
ejpam-4126	78	120	}	}	PUNCT
ejpam-4126	78	121	such	such	ADJ
ejpam-4126	78	122	that	that	DET
ejpam-4126	78	123	s2g(fx	s2g(fx	NOUN
ejpam-4126	78	124	,	,	PUNCT
ejpam-4126	78	125	ty	ty	PRON
ejpam-4126	78	126	,	,	PUNCT
ejpam-4126	78	127	rz	rz	NOUN
ejpam-4126	78	128	)	)	PUNCT
ejpam-4126	78	129	⪯	⪯	NOUN
ejpam-4126	78	130	λm(x	λm(x	PUNCT
ejpam-4126	78	131	,	,	PUNCT
ejpam-4126	78	132	y	y	PROPN
ejpam-4126	78	133	,	,	PUNCT
ejpam-4126	78	134	z	z	NOUN
ejpam-4126	78	135	)	)	PUNCT
ejpam-4126	78	136	.	.	PUNCT
ejpam-4126	79	1	if	if	SCONJ
ejpam-4126	79	2	f	f	PROPN
ejpam-4126	79	3	(	(	PUNCT
ejpam-4126	79	4	x	x	X
ejpam-4126	79	5	)	)	PUNCT
ejpam-4126	79	6	∪	∪	ADP
ejpam-4126	79	7	t	t	PROPN
ejpam-4126	79	8	(	(	PUNCT
ejpam-4126	79	9	x	x	NOUN
ejpam-4126	79	10	)	)	PUNCT
ejpam-4126	79	11	∪	∪	ADP
ejpam-4126	79	12	r(x	r(x	PROPN
ejpam-4126	79	13	)	)	PUNCT
ejpam-4126	79	14	⊂	⊂	PROPN
ejpam-4126	79	15	f(x	f(x	PROPN
ejpam-4126	79	16	)	)	PUNCT
ejpam-4126	79	17	and	and	CCONJ
ejpam-4126	79	18	f(x	f(x	PROPN
ejpam-4126	79	19	)	)	PUNCT
ejpam-4126	79	20	is	be	AUX
ejpam-4126	79	21	a	a	DET
ejpam-4126	79	22	gb	gb	ADV
ejpam-4126	79	23	-	-	PUNCT
ejpam-4126	79	24	complete	complete	ADJ
ejpam-4126	79	25	subspace	subspace	NOUN
ejpam-4126	79	26	of	of	ADP
ejpam-4126	79	27	x	x	PRON
ejpam-4126	79	28	,	,	PUNCT
ejpam-4126	79	29	then	then	ADV
ejpam-4126	79	30	f	f	X
ejpam-4126	79	31	,	,	PUNCT
ejpam-4126	79	32	t	t	PROPN
ejpam-4126	79	33	,	,	PUNCT
ejpam-4126	79	34	r	r	NOUN
ejpam-4126	79	35	and	and	CCONJ
ejpam-4126	79	36	f	f	PROPN
ejpam-4126	79	37	have	have	VERB
ejpam-4126	79	38	a	a	DET
ejpam-4126	79	39	unique	unique	ADJ
ejpam-4126	79	40	point	point	NOUN
ejpam-4126	79	41	of	of	ADP
ejpam-4126	79	42	coincidence	coincidence	NOUN
ejpam-4126	79	43	in	in	ADP
ejpam-4126	79	44	x.	x.	NOUN
ejpam-4126	79	45	if	if	SCONJ
ejpam-4126	79	46	the	the	DET
ejpam-4126	79	47	pairs	pair	NOUN
ejpam-4126	79	48	(	(	PUNCT
ejpam-4126	79	49	f	f	X
ejpam-4126	79	50	,	,	PUNCT
ejpam-4126	79	51	f	f	PROPN
ejpam-4126	79	52	)	)	PUNCT
ejpam-4126	79	53	,	,	PUNCT
ejpam-4126	79	54	(	(	PUNCT
ejpam-4126	79	55	f	f	X
ejpam-4126	79	56	,	,	PUNCT
ejpam-4126	79	57	t	t	PROPN
ejpam-4126	79	58	)	)	PUNCT
ejpam-4126	79	59	and	and	CCONJ
ejpam-4126	79	60	(	(	PUNCT
ejpam-4126	79	61	f	f	X
ejpam-4126	79	62	,	,	PUNCT
ejpam-4126	79	63	r	r	NOUN
ejpam-4126	79	64	)	)	PUNCT
ejpam-4126	79	65	are	be	AUX
ejpam-4126	79	66	further	far	ADV
ejpam-4126	79	67	weakly	weakly	ADV
ejpam-4126	79	68	compatible	compatible	ADJ
ejpam-4126	79	69	,	,	PUNCT
ejpam-4126	79	70	then	then	ADV
ejpam-4126	79	71	f	f	X
ejpam-4126	79	72	,	,	PUNCT
ejpam-4126	79	73	t	t	PROPN
ejpam-4126	79	74	,	,	PUNCT
ejpam-4126	79	75	r	r	NOUN
ejpam-4126	79	76	and	and	CCONJ
ejpam-4126	79	77	f	f	PROPN
ejpam-4126	79	78	have	have	VERB
ejpam-4126	79	79	a	a	DET
ejpam-4126	79	80	unique	unique	ADJ
ejpam-4126	79	81	common	common	ADJ
ejpam-4126	79	82	fixed	fix	VERB
ejpam-4126	79	83	point	point	NOUN
ejpam-4126	79	84	.	.	PUNCT
ejpam-4126	80	1	proof	proof	NOUN
ejpam-4126	80	2	.	.	PUNCT
ejpam-4126	81	1	let	let	VERB
ejpam-4126	81	2	x0	x0	PROPN
ejpam-4126	81	3	in	in	SCONJ
ejpam-4126	81	4	x	x	PART
ejpam-4126	81	5	be	be	AUX
ejpam-4126	81	6	an	an	DET
ejpam-4126	81	7	arbitrary	arbitrary	ADJ
ejpam-4126	81	8	point	point	NOUN
ejpam-4126	81	9	.	.	PUNCT
ejpam-4126	82	1	since	since	SCONJ
ejpam-4126	82	2	f	f	PROPN
ejpam-4126	82	3	(	(	PUNCT
ejpam-4126	82	4	x	x	X
ejpam-4126	82	5	)	)	PUNCT
ejpam-4126	82	6	∪	∪	ADP
ejpam-4126	82	7	t	t	PROPN
ejpam-4126	82	8	(	(	PUNCT
ejpam-4126	82	9	x	x	NOUN
ejpam-4126	82	10	)	)	PUNCT
ejpam-4126	82	11	∪	∪	ADP
ejpam-4126	82	12	r(x	r(x	PROPN
ejpam-4126	82	13	)	)	PUNCT
ejpam-4126	83	1	⊂	⊂	PROPN
ejpam-4126	83	2	f(x	f(x	PROPN
ejpam-4126	83	3	)	)	PUNCT
ejpam-4126	83	4	,	,	PUNCT
ejpam-4126	83	5	there	there	PRON
ejpam-4126	83	6	exist	exist	VERB
ejpam-4126	83	7	two	two	NUM
ejpam-4126	83	8	sequences	sequence	NOUN
ejpam-4126	83	9	(	(	PUNCT
ejpam-4126	83	10	xn	xn	NUM
ejpam-4126	83	11	)	)	PUNCT
ejpam-4126	83	12	and	and	CCONJ
ejpam-4126	83	13	(	(	PUNCT
ejpam-4126	83	14	yn	yn	NOUN
ejpam-4126	83	15	)	)	PUNCT
ejpam-4126	83	16	in	in	ADP
ejpam-4126	83	17	x	x	X
ejpam-4126	83	18	such	such	ADJ
ejpam-4126	83	19	that	that	SCONJ
ejpam-4126	83	20	y3n	y3n	PROPN
ejpam-4126	83	21	=	=	SYM
ejpam-4126	83	22	fx3n+1	fx3n+1	PROPN
ejpam-4126	83	23	=	=	SYM
ejpam-4126	83	24	fx3n	fx3n	PROPN
ejpam-4126	83	25	,	,	PUNCT
ejpam-4126	83	26	y3n+1	y3n+1	PROPN
ejpam-4126	83	27	=	=	SYM
ejpam-4126	83	28	fx3n+2	fx3n+2	PROPN
ejpam-4126	83	29	=	=	SYM
ejpam-4126	83	30	tx3n+1	tx3n+1	PROPN
ejpam-4126	83	31	,	,	PUNCT
ejpam-4126	83	32	y3n+2	y3n+2	PROPN
ejpam-4126	83	33	=	=	SYM
ejpam-4126	83	34	fx3n+3	fx3n+3	PROPN
ejpam-4126	83	35	=	=	SYM
ejpam-4126	83	36	rx3n+2	rx3n+2	PROPN
ejpam-4126	83	37	,	,	PUNCT
ejpam-4126	83	38	for	for	ADP
ejpam-4126	83	39	all	all	DET
ejpam-4126	83	40	n	n	PRON
ejpam-4126	83	41	∈	∈	NOUN
ejpam-4126	83	42	n.	n.	NOUN
ejpam-4126	83	43	by	by	ADP
ejpam-4126	83	44	the	the	DET
ejpam-4126	83	45	contractive	contractive	ADJ
ejpam-4126	83	46	condition	condition	NOUN
ejpam-4126	83	47	,	,	PUNCT
ejpam-4126	83	48	for	for	ADP
ejpam-4126	83	49	all	all	DET
ejpam-4126	83	50	n	n	DET
ejpam-4126	83	51	∈	∈	PROPN
ejpam-4126	83	52	n	n	CCONJ
ejpam-4126	83	53	,	,	PUNCT
ejpam-4126	83	54	there	there	PRON
ejpam-4126	83	55	exists	exist	VERB
ejpam-4126	83	56	m(x3n	m(x3n	PROPN
ejpam-4126	83	57	,	,	PUNCT
ejpam-4126	83	58	x3n+1	x3n+1	PROPN
ejpam-4126	83	59	,	,	PUNCT
ejpam-4126	83	60	x3n+2	x3n+2	X
ejpam-4126	84	1	)	)	PUNCT
ejpam-4126	84	2	∈	∈	PROPN
ejpam-4126	84	3	{	{	PUNCT
ejpam-4126	84	4	g(fx3n	g(fx3n	PROPN
ejpam-4126	84	5	,	,	PUNCT
ejpam-4126	84	6	fx3n+1	fx3n+1	ADJ
ejpam-4126	84	7	,	,	PUNCT
ejpam-4126	84	8	fx3n+2	fx3n+2	NOUN
ejpam-4126	84	9	)	)	PUNCT
ejpam-4126	84	10	,	,	PUNCT
ejpam-4126	84	11	g(fx3n	g(fx3n	PROPN
ejpam-4126	84	12	,	,	PUNCT
ejpam-4126	84	13	fx3n+1	fx3n+1	NOUN
ejpam-4126	84	14	,	,	PUNCT
ejpam-4126	84	15	fx3n+2	fx3n+2	NOUN
ejpam-4126	84	16	)	)	PUNCT
ejpam-4126	84	17	,	,	PUNCT
ejpam-4126	84	18	g(fx3n	g(fx3n	PROPN
ejpam-4126	84	19	,	,	PUNCT
ejpam-4126	84	20	tx3n+1	tx3n+1	PROPN
ejpam-4126	84	21	,	,	PUNCT
ejpam-4126	84	22	fx3n+2	fx3n+2	NOUN
ejpam-4126	84	23	)	)	PUNCT
ejpam-4126	84	24	,	,	PUNCT
ejpam-4126	84	25	g(fx3n	g(fx3n	PROPN
ejpam-4126	84	26	,	,	PUNCT
ejpam-4126	84	27	fx3n+1	fx3n+1	NOUN
ejpam-4126	84	28	,	,	PUNCT
ejpam-4126	84	29	rx3n+2	rx3n+2	NUM
ejpam-4126	84	30	)	)	PUNCT
ejpam-4126	84	31	,	,	PUNCT
ejpam-4126	84	32	g(fx3n	g(fx3n	PROPN
ejpam-4126	84	33	,	,	PUNCT
ejpam-4126	84	34	tx3n+1	tx3n+1	PROPN
ejpam-4126	84	35	,	,	PUNCT
ejpam-4126	84	36	rx3n+2	rx3n+2	NUM
ejpam-4126	84	37	)	)	PUNCT
ejpam-4126	84	38	,	,	PUNCT
ejpam-4126	84	39	g(fx3n	g(fx3n	PROPN
ejpam-4126	84	40	,	,	PUNCT
ejpam-4126	84	41	fx3n+1	fx3n+1	NOUN
ejpam-4126	84	42	,	,	PUNCT
ejpam-4126	84	43	rx3n+2	rx3n+2	NUM
ejpam-4126	84	44	)	)	PUNCT
ejpam-4126	84	45	,	,	PUNCT
ejpam-4126	84	46	g(fx3n	g(fx3n	PROPN
ejpam-4126	84	47	,	,	PUNCT
ejpam-4126	84	48	tx3n+1	tx3n+1	PROPN
ejpam-4126	84	49	,	,	PUNCT
ejpam-4126	84	50	fx3n+2	fx3n+2	NOUN
ejpam-4126	84	51	)	)	PUNCT
ejpam-4126	84	52	,	,	PUNCT
ejpam-4126	84	53	g(fx3n	g(fx3n	PROPN
ejpam-4126	84	54	,	,	PUNCT
ejpam-4126	84	55	fx3n	fx3n	PROPN
ejpam-4126	84	56	,	,	PUNCT
ejpam-4126	84	57	fx3n	fx3n	PROPN
ejpam-4126	84	58	)	)	PUNCT
ejpam-4126	84	59	,	,	PUNCT
ejpam-4126	84	60	g(tx3n+1	g(tx3n+1	PROPN
ejpam-4126	84	61	,	,	PUNCT
ejpam-4126	84	62	tx3n+1	tx3n+1	PROPN
ejpam-4126	84	63	,	,	PUNCT
ejpam-4126	84	64	fx3n+1	fx3n+1	NOUN
ejpam-4126	84	65	)	)	PUNCT
ejpam-4126	84	66	,	,	PUNCT
ejpam-4126	84	67	g(rx3n+2	g(rx3n+2	PROPN
ejpam-4126	84	68	,	,	PUNCT
ejpam-4126	84	69	rx3n+2	rx3n+2	PROPN
ejpam-4126	84	70	,	,	PUNCT
ejpam-4126	84	71	fx3n+2	fx3n+2	NOUN
ejpam-4126	84	72	)	)	PUNCT
ejpam-4126	84	73	}	}	PUNCT
ejpam-4126	84	74	=	=	SYM
ejpam-4126	84	75	{	{	PUNCT
ejpam-4126	84	76	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	84	77	,	,	PUNCT
ejpam-4126	84	78	y3n	y3n	PROPN
ejpam-4126	84	79	,	,	PUNCT
ejpam-4126	84	80	y3n+1	y3n+1	PROPN
ejpam-4126	84	81	)	)	PUNCT
ejpam-4126	84	82	,	,	PUNCT
ejpam-4126	84	83	g(y3n	g(y3n	PROPN
ejpam-4126	84	84	,	,	PUNCT
ejpam-4126	84	85	y3n	y3n	PROPN
ejpam-4126	84	86	,	,	PUNCT
ejpam-4126	84	87	y3n+1	y3n+1	PROPN
ejpam-4126	84	88	)	)	PUNCT
ejpam-4126	84	89	,	,	PUNCT
ejpam-4126	84	90	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	84	91	,	,	PUNCT
ejpam-4126	84	92	y3n+1	y3n+1	PROPN
ejpam-4126	84	93	,	,	PUNCT
ejpam-4126	84	94	y3n+1	y3n+1	PROPN
ejpam-4126	84	95	)	)	PUNCT
ejpam-4126	84	96	,	,	PUNCT
ejpam-4126	84	97	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	84	98	,	,	PUNCT
ejpam-4126	84	99	y3n	y3n	PROPN
ejpam-4126	84	100	,	,	PUNCT
ejpam-4126	84	101	y3n+2	y3n+2	PROPN
ejpam-4126	84	102	)	)	PUNCT
ejpam-4126	84	103	,	,	PUNCT
ejpam-4126	84	104	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	84	105	,	,	PUNCT
ejpam-4126	84	106	y3n+1	y3n+1	PROPN
ejpam-4126	84	107	,	,	PUNCT
ejpam-4126	84	108	y3n+2	y3n+2	PROPN
ejpam-4126	84	109	)	)	PUNCT
ejpam-4126	84	110	,	,	PUNCT
ejpam-4126	84	111	g(y3n	g(y3n	PROPN
ejpam-4126	84	112	,	,	PUNCT
ejpam-4126	84	113	y3n	y3n	PROPN
ejpam-4126	84	114	,	,	PUNCT
ejpam-4126	84	115	y3n+2	y3n+2	PROPN
ejpam-4126	84	116	)	)	PUNCT
ejpam-4126	84	117	,	,	PUNCT
ejpam-4126	84	118	g(y3n	g(y3n	PROPN
ejpam-4126	84	119	,	,	PUNCT
ejpam-4126	84	120	y3n+1	y3n+1	PROPN
ejpam-4126	84	121	,	,	PUNCT
ejpam-4126	84	122	y3n+1	y3n+1	PROPN
ejpam-4126	84	123	)	)	PUNCT
ejpam-4126	84	124	,	,	PUNCT
ejpam-4126	84	125	g(y3n	g(y3n	PROPN
ejpam-4126	84	126	,	,	PUNCT
ejpam-4126	84	127	y3n	y3n	PROPN
ejpam-4126	84	128	,	,	PUNCT
ejpam-4126	84	129	y3n−1	y3n−1	PROPN
ejpam-4126	84	130	)	)	PUNCT
ejpam-4126	84	131	,	,	PUNCT
ejpam-4126	84	132	g(y3n+1	g(y3n+1	PROPN
ejpam-4126	84	133	,	,	PUNCT
ejpam-4126	84	134	y3n+1	y3n+1	PROPN
ejpam-4126	84	135	,	,	PUNCT
ejpam-4126	84	136	y3n	y3n	PROPN
ejpam-4126	84	137	)	)	PUNCT
ejpam-4126	84	138	,	,	PUNCT
ejpam-4126	84	139	g(y3n+2	g(y3n+2	PROPN
ejpam-4126	84	140	,	,	PUNCT
ejpam-4126	84	141	y3n+2	y3n+2	PROPN
ejpam-4126	84	142	,	,	PUNCT
ejpam-4126	84	143	y3n+1	y3n+1	PROPN
ejpam-4126	84	144	)	)	PUNCT
ejpam-4126	84	145	}	}	PUNCT
ejpam-4126	84	146	such	such	ADJ
ejpam-4126	84	147	that	that	SCONJ
ejpam-4126	84	148	g(y3n	g(y3n	PROPN
ejpam-4126	84	149	,	,	PUNCT
ejpam-4126	84	150	y3n+1	y3n+1	PROPN
ejpam-4126	84	151	,	,	PUNCT
ejpam-4126	84	152	y3n+2	y3n+2	PROPN
ejpam-4126	84	153	)	)	PUNCT
ejpam-4126	84	154	=	=	SYM
ejpam-4126	84	155	g(fx3n	g(fx3n	PROPN
ejpam-4126	84	156	,	,	PUNCT
ejpam-4126	84	157	tx3n+1	tx3n+1	PROPN
ejpam-4126	84	158	,	,	PUNCT
ejpam-4126	84	159	rx3n+2	rx3n+2	NUM
ejpam-4126	84	160	)	)	PUNCT
ejpam-4126	84	161	⪯	⪯	NOUN
ejpam-4126	84	162	λ	λ	PROPN
ejpam-4126	84	163	s2	s2	PROPN
ejpam-4126	84	164	m(x3n	m(x3n	PROPN
ejpam-4126	84	165	,	,	PUNCT
ejpam-4126	84	166	x3n+1	x3n+1	PROPN
ejpam-4126	84	167	,	,	PUNCT
ejpam-4126	84	168	x3n+2	x3n+2	PROPN
ejpam-4126	84	169	)	)	PUNCT
ejpam-4126	84	170	.	.	PUNCT
ejpam-4126	85	1	we	we	PRON
ejpam-4126	85	2	discuss	discuss	VERB
ejpam-4126	85	3	three	three	NUM
ejpam-4126	85	4	cases	case	NOUN
ejpam-4126	85	5	.	.	PUNCT
ejpam-4126	86	1	case	case	NOUN
ejpam-4126	86	2	1	1	NUM
ejpam-4126	86	3	.	.	PUNCT
ejpam-4126	87	1	m(x3n	m(x3n	PROPN
ejpam-4126	87	2	,	,	PUNCT
ejpam-4126	87	3	x3n+1	x3n+1	PROPN
ejpam-4126	87	4	,	,	PUNCT
ejpam-4126	87	5	x3n+2	x3n+2	X
ejpam-4126	87	6	)	)	PUNCT
ejpam-4126	87	7	∈	∈	PROPN
ejpam-4126	87	8	{	{	PUNCT
ejpam-4126	87	9	g(y3n	g(y3n	PROPN
ejpam-4126	87	10	,	,	PUNCT
ejpam-4126	87	11	y3n	y3n	PROPN
ejpam-4126	87	12	,	,	PUNCT
ejpam-4126	87	13	y3n+2	y3n+2	PROPN
ejpam-4126	87	14	)	)	PUNCT
ejpam-4126	87	15	,	,	PUNCT
ejpam-4126	87	16	g(y3n+2	g(y3n+2	PROPN
ejpam-4126	87	17	,	,	PUNCT
ejpam-4126	87	18	y3n+2	y3n+2	PROPN
ejpam-4126	87	19	,	,	PUNCT
ejpam-4126	87	20	y3n+1	y3n+1	PROPN
ejpam-4126	87	21	)	)	PUNCT
ejpam-4126	87	22	}	}	PUNCT
ejpam-4126	87	23	.	.	PUNCT
ejpam-4126	88	1	by	by	ADP
ejpam-4126	88	2	(	(	PUNCT
ejpam-4126	88	3	gbc3	gbc3	PROPN
ejpam-4126	88	4	)	)	PUNCT
ejpam-4126	88	5	and	and	CCONJ
ejpam-4126	88	6	(	(	PUNCT
ejpam-4126	88	7	gbc4	gbc4	PROPN
ejpam-4126	88	8	)	)	PUNCT
ejpam-4126	88	9	,	,	PUNCT
ejpam-4126	88	10	g(y3n	g(y3n	PROPN
ejpam-4126	88	11	,	,	PUNCT
ejpam-4126	88	12	y3n+1	y3n+1	PROPN
ejpam-4126	88	13	,	,	PUNCT
ejpam-4126	88	14	y3n+2	y3n+2	PROPN
ejpam-4126	88	15	)	)	PUNCT
ejpam-4126	88	16	⪯	⪯	PROPN
ejpam-4126	88	17	λg(y3n	λg(y3n	PROPN
ejpam-4126	88	18	,	,	PUNCT
ejpam-4126	88	19	y3n+1	y3n+1	PROPN
ejpam-4126	88	20	,	,	PUNCT
ejpam-4126	88	21	y3n+2	y3n+2	PROPN
ejpam-4126	88	22	)	)	PUNCT
ejpam-4126	88	23	.	.	PUNCT
ejpam-4126	89	1	s.	s.	PROPN
ejpam-4126	89	2	benchabane	benchabane	PROPN
ejpam-4126	89	3	,	,	PUNCT
ejpam-4126	89	4	s.	s.	PROPN
ejpam-4126	89	5	djebali	djebali	PROPN
ejpam-4126	89	6	/	/	SYM
ejpam-4126	89	7	eur	eur	PROPN
ejpam-4126	89	8	.	.	PUNCT
ejpam-4126	90	1	j.	j.	PROPN
ejpam-4126	90	2	pure	pure	PROPN
ejpam-4126	90	3	appl	appl	PROPN
ejpam-4126	90	4	.	.	PROPN
ejpam-4126	90	5	math	math	PROPN
ejpam-4126	90	6	,	,	PUNCT
ejpam-4126	90	7	14	14	NUM
ejpam-4126	90	8	(	(	PUNCT
ejpam-4126	90	9	4	4	NUM
ejpam-4126	90	10	)	)	PUNCT
ejpam-4126	90	11	(	(	PUNCT
ejpam-4126	90	12	2021	2021	NUM
ejpam-4126	90	13	)	)	PUNCT
ejpam-4126	90	14	,	,	PUNCT
ejpam-4126	90	15	1350	1350	NUM
ejpam-4126	90	16	-	-	SYM
ejpam-4126	90	17	1366	1366	NUM
ejpam-4126	90	18	1354	1354	NUM
ejpam-4126	90	19	by	by	ADP
ejpam-4126	90	20	lemma	lemma	PROPN
ejpam-4126	90	21	1	1	NUM
ejpam-4126	90	22	(	(	PUNCT
ejpam-4126	90	23	pt6	pt6	PROPN
ejpam-4126	90	24	)	)	PUNCT
ejpam-4126	90	25	and	and	CCONJ
ejpam-4126	90	26	(	(	PUNCT
ejpam-4126	90	27	gbc1	gbc1	PROPN
ejpam-4126	90	28	)	)	PUNCT
ejpam-4126	90	29	,	,	PUNCT
ejpam-4126	90	30	y3n	y3n	X
ejpam-4126	91	1	=	=	PUNCT
ejpam-4126	91	2	y3n+1	y3n+1	PROPN
ejpam-4126	91	3	=	=	SYM
ejpam-4126	91	4	y3n+2	y3n+2	PROPN
ejpam-4126	91	5	.	.	PUNCT
ejpam-4126	92	1	by	by	ADP
ejpam-4126	92	2	applying	apply	VERB
ejpam-4126	92	3	the	the	DET
ejpam-4126	92	4	contractive	contractive	ADJ
ejpam-4126	92	5	condition	condition	NOUN
ejpam-4126	92	6	,	,	PUNCT
ejpam-4126	92	7	there	there	PRON
ejpam-4126	92	8	exists	exist	VERB
ejpam-4126	92	9	m(x3n+3	m(x3n+3	PROPN
ejpam-4126	92	10	,	,	PUNCT
ejpam-4126	92	11	x3n+1	x3n+1	PROPN
ejpam-4126	92	12	,	,	PUNCT
ejpam-4126	92	13	x3n+2	x3n+2	X
ejpam-4126	92	14	)	)	PUNCT
ejpam-4126	92	15	∈	∈	PROPN
ejpam-4126	92	16	{	{	PUNCT
ejpam-4126	92	17	g(fx3n+3	g(fx3n+3	PROPN
ejpam-4126	92	18	,	,	PUNCT
ejpam-4126	92	19	fx3n+1	fx3n+1	PROPN
ejpam-4126	92	20	,	,	PUNCT
ejpam-4126	92	21	fx3n+2	fx3n+2	NOUN
ejpam-4126	92	22	)	)	PUNCT
ejpam-4126	92	23	,	,	PUNCT
ejpam-4126	92	24	g(fx3n+3	g(fx3n+3	PROPN
ejpam-4126	92	25	,	,	PUNCT
ejpam-4126	92	26	fx3n+1	fx3n+1	PROPN
ejpam-4126	92	27	,	,	PUNCT
ejpam-4126	92	28	fx3n+2	fx3n+2	NOUN
ejpam-4126	92	29	)	)	PUNCT
ejpam-4126	92	30	,	,	PUNCT
ejpam-4126	92	31	g(fx3n+3	g(fx3n+3	PROPN
ejpam-4126	92	32	,	,	PUNCT
ejpam-4126	92	33	tx3n+1	tx3n+1	PROPN
ejpam-4126	92	34	,	,	PUNCT
ejpam-4126	92	35	fx3n+2	fx3n+2	NOUN
ejpam-4126	92	36	)	)	PUNCT
ejpam-4126	92	37	,	,	PUNCT
ejpam-4126	92	38	g(fx3n+3	g(fx3n+3	PROPN
ejpam-4126	92	39	,	,	PUNCT
ejpam-4126	92	40	fx3n+1	fx3n+1	NOUN
ejpam-4126	92	41	,	,	PUNCT
ejpam-4126	92	42	rx3n+2	rx3n+2	NUM
ejpam-4126	92	43	)	)	PUNCT
ejpam-4126	92	44	,	,	PUNCT
ejpam-4126	92	45	g(fx3n+3	g(fx3n+3	PROPN
ejpam-4126	92	46	,	,	PUNCT
ejpam-4126	92	47	tx3n+1	tx3n+1	PROPN
ejpam-4126	92	48	,	,	PUNCT
ejpam-4126	92	49	rx3n+2	rx3n+2	NUM
ejpam-4126	92	50	)	)	PUNCT
ejpam-4126	92	51	,	,	PUNCT
ejpam-4126	92	52	g(fx3n+3	g(fx3n+3	PROPN
ejpam-4126	92	53	,	,	PUNCT
ejpam-4126	92	54	fx3n+1	fx3n+1	NOUN
ejpam-4126	92	55	,	,	PUNCT
ejpam-4126	92	56	rx3n+2	rx3n+2	NUM
ejpam-4126	92	57	)	)	PUNCT
ejpam-4126	92	58	,	,	PUNCT
ejpam-4126	92	59	g(fx3n+3	g(fx3n+3	PROPN
ejpam-4126	92	60	,	,	PUNCT
ejpam-4126	92	61	tx3n+1	tx3n+1	PROPN
ejpam-4126	92	62	,	,	PUNCT
ejpam-4126	92	63	fx3n+2	fx3n+2	NOUN
ejpam-4126	92	64	)	)	PUNCT
ejpam-4126	92	65	,	,	PUNCT
ejpam-4126	92	66	g(fx3n+3	g(fx3n+3	PROPN
ejpam-4126	92	67	,	,	PUNCT
ejpam-4126	92	68	fx3n+3	fx3n+3	PROPN
ejpam-4126	92	69	,	,	PUNCT
ejpam-4126	92	70	fx3n+3	fx3n+3	PROPN
ejpam-4126	92	71	)	)	PUNCT
ejpam-4126	92	72	,	,	PUNCT
ejpam-4126	92	73	g(tx3n+1	g(tx3n+1	PROPN
ejpam-4126	92	74	,	,	PUNCT
ejpam-4126	92	75	tx3n+1	tx3n+1	PROPN
ejpam-4126	92	76	,	,	PUNCT
ejpam-4126	92	77	fx3n+1	fx3n+1	NOUN
ejpam-4126	92	78	)	)	PUNCT
ejpam-4126	92	79	,	,	PUNCT
ejpam-4126	92	80	g(rx3n+2	g(rx3n+2	PROPN
ejpam-4126	92	81	,	,	PUNCT
ejpam-4126	92	82	rx3n+2	rx3n+2	PROPN
ejpam-4126	92	83	,	,	PUNCT
ejpam-4126	92	84	fx3n+2	fx3n+2	NOUN
ejpam-4126	92	85	)	)	PUNCT
ejpam-4126	92	86	}	}	PUNCT
ejpam-4126	92	87	=	=	SYM
ejpam-4126	92	88	{	{	PUNCT
ejpam-4126	92	89	g(y3n+2	g(y3n+2	NOUN
ejpam-4126	92	90	,	,	PUNCT
ejpam-4126	92	91	y3n	y3n	PROPN
ejpam-4126	92	92	,	,	PUNCT
ejpam-4126	92	93	y3n+1	y3n+1	PROPN
ejpam-4126	92	94	)	)	PUNCT
ejpam-4126	92	95	,	,	PUNCT
ejpam-4126	92	96	g(y3n+3	g(y3n+3	PROPN
ejpam-4126	92	97	,	,	PUNCT
ejpam-4126	92	98	y3n	y3n	PROPN
ejpam-4126	92	99	,	,	PUNCT
ejpam-4126	92	100	y3n+1	y3n+1	PROPN
ejpam-4126	92	101	)	)	PUNCT
ejpam-4126	92	102	,	,	PUNCT
ejpam-4126	92	103	g(y3n+2	g(y3n+2	PROPN
ejpam-4126	92	104	,	,	PUNCT
ejpam-4126	92	105	y3n+1	y3n+1	PROPN
ejpam-4126	92	106	,	,	PUNCT
ejpam-4126	92	107	y3n+1	y3n+1	PROPN
ejpam-4126	92	108	)	)	PUNCT
ejpam-4126	92	109	,	,	PUNCT
ejpam-4126	92	110	g(y3n+2	g(y3n+2	PROPN
ejpam-4126	92	111	,	,	PUNCT
ejpam-4126	92	112	y3n	y3n	PROPN
ejpam-4126	92	113	,	,	PUNCT
ejpam-4126	92	114	y3n+2	y3n+2	PROPN
ejpam-4126	92	115	)	)	PUNCT
ejpam-4126	92	116	,	,	PUNCT
ejpam-4126	92	117	g(y3n+2	g(y3n+2	PROPN
ejpam-4126	92	118	,	,	PUNCT
ejpam-4126	92	119	y3n+1	y3n+1	PROPN
ejpam-4126	92	120	,	,	PUNCT
ejpam-4126	92	121	y3n+2	y3n+2	PROPN
ejpam-4126	92	122	)	)	PUNCT
ejpam-4126	92	123	,	,	PUNCT
ejpam-4126	92	124	g(y3n+3	g(y3n+3	PROPN
ejpam-4126	92	125	,	,	PUNCT
ejpam-4126	92	126	y3n	y3n	PROPN
ejpam-4126	92	127	,	,	PUNCT
ejpam-4126	92	128	y3n+2	y3n+2	PROPN
ejpam-4126	92	129	)	)	PUNCT
ejpam-4126	92	130	,	,	PUNCT
ejpam-4126	92	131	g(y3n+3	g(y3n+3	PROPN
ejpam-4126	92	132	,	,	PUNCT
ejpam-4126	92	133	y3n+1	y3n+1	PROPN
ejpam-4126	92	134	,	,	PUNCT
ejpam-4126	92	135	y3n+1	y3n+1	PROPN
ejpam-4126	92	136	)	)	PUNCT
ejpam-4126	92	137	,	,	PUNCT
ejpam-4126	92	138	g(y3n+3	g(y3n+3	PROPN
ejpam-4126	92	139	,	,	PUNCT
ejpam-4126	92	140	y3n+3	y3n+3	PROPN
ejpam-4126	92	141	,	,	PUNCT
ejpam-4126	92	142	y3n+2	y3n+2	PROPN
ejpam-4126	92	143	)	)	PUNCT
ejpam-4126	92	144	,	,	PUNCT
ejpam-4126	92	145	g(y3n+1	g(y3n+1	PROPN
ejpam-4126	92	146	,	,	PUNCT
ejpam-4126	92	147	y3n+1	y3n+1	PROPN
ejpam-4126	92	148	,	,	PUNCT
ejpam-4126	92	149	y3n	y3n	PROPN
ejpam-4126	92	150	)	)	PUNCT
ejpam-4126	92	151	,	,	PUNCT
ejpam-4126	92	152	g(y3n+2	g(y3n+2	PROPN
ejpam-4126	92	153	,	,	PUNCT
ejpam-4126	92	154	y3n+2	y3n+2	PROPN
ejpam-4126	92	155	,	,	PUNCT
ejpam-4126	92	156	y3n+1	y3n+1	PROPN
ejpam-4126	92	157	)	)	PUNCT
ejpam-4126	92	158	}	}	PUNCT
ejpam-4126	92	159	=	=	SYM
ejpam-4126	92	160	{	{	PUNCT
ejpam-4126	92	161	θ	θ	PROPN
ejpam-4126	92	162	,	,	PUNCT
ejpam-4126	92	163	g(y3n+3	g(y3n+3	PROPN
ejpam-4126	92	164	,	,	PUNCT
ejpam-4126	92	165	y3n+2	y3n+2	PROPN
ejpam-4126	92	166	,	,	PUNCT
ejpam-4126	92	167	y3n+2	y3n+2	PROPN
ejpam-4126	92	168	)	)	PUNCT
ejpam-4126	92	169	,	,	PUNCT
ejpam-4126	92	170	θ	θ	PROPN
ejpam-4126	92	171	,	,	PUNCT
ejpam-4126	92	172	θ	θ	PROPN
ejpam-4126	92	173	,	,	PUNCT
ejpam-4126	92	174	θ	θ	PROPN
ejpam-4126	92	175	,	,	PUNCT
ejpam-4126	92	176	g(y3n+3	g(y3n+3	PROPN
ejpam-4126	92	177	,	,	PUNCT
ejpam-4126	92	178	y3n+2	y3n+2	PROPN
ejpam-4126	92	179	,	,	PUNCT
ejpam-4126	92	180	y3n+2	y3n+2	PROPN
ejpam-4126	92	181	)	)	PUNCT
ejpam-4126	92	182	,	,	PUNCT
ejpam-4126	92	183	g(y3n+3	g(y3n+3	PROPN
ejpam-4126	92	184	,	,	PUNCT
ejpam-4126	92	185	y3n+2	y3n+2	PROPN
ejpam-4126	92	186	,	,	PUNCT
ejpam-4126	92	187	y3n+2	y3n+2	PROPN
ejpam-4126	92	188	)	)	PUNCT
ejpam-4126	92	189	,	,	PUNCT
ejpam-4126	92	190	g(y3n+3	g(y3n+3	PROPN
ejpam-4126	92	191	,	,	PUNCT
ejpam-4126	92	192	y3n+3	y3n+3	PROPN
ejpam-4126	92	193	,	,	PUNCT
ejpam-4126	92	194	y3n+2	y3n+2	PROPN
ejpam-4126	92	195	)	)	PUNCT
ejpam-4126	92	196	,	,	PUNCT
ejpam-4126	92	197	θ	θ	PROPN
ejpam-4126	92	198	,	,	PUNCT
ejpam-4126	92	199	θ	θ	NOUN
ejpam-4126	92	200	}	}	PUNCT
ejpam-4126	92	201	such	such	ADJ
ejpam-4126	92	202	that	that	DET
ejpam-4126	92	203	g(y3n+3	g(y3n+3	PROPN
ejpam-4126	92	204	,	,	PUNCT
ejpam-4126	92	205	y3n+1	y3n+1	PROPN
ejpam-4126	92	206	,	,	PUNCT
ejpam-4126	92	207	y3n+2	y3n+2	PROPN
ejpam-4126	92	208	)	)	PUNCT
ejpam-4126	92	209	=	=	SYM
ejpam-4126	93	1	g(fx3n+3	g(fx3n+3	PROPN
ejpam-4126	93	2	,	,	PUNCT
ejpam-4126	93	3	tx3n+1	tx3n+1	PROPN
ejpam-4126	93	4	,	,	PUNCT
ejpam-4126	93	5	rx3n+2	rx3n+2	NUM
ejpam-4126	93	6	)	)	PUNCT
ejpam-4126	93	7	⪯	⪯	NOUN
ejpam-4126	93	8	λ	λ	PROPN
ejpam-4126	93	9	s2	s2	PROPN
ejpam-4126	93	10	m(x3n+3	m(x3n+3	PROPN
ejpam-4126	93	11	,	,	PUNCT
ejpam-4126	93	12	x3n+1	x3n+1	PROPN
ejpam-4126	93	13	,	,	PUNCT
ejpam-4126	93	14	x3n+2	x3n+2	PROPN
ejpam-4126	93	15	)	)	PUNCT
ejpam-4126	93	16	.	.	PUNCT
ejpam-4126	94	1	hence	hence	ADV
ejpam-4126	94	2	g(y3n+3	g(y3n+3	PROPN
ejpam-4126	94	3	,	,	PUNCT
ejpam-4126	94	4	y3n+1	y3n+1	PROPN
ejpam-4126	94	5	,	,	PUNCT
ejpam-4126	94	6	y3n+2	y3n+2	PROPN
ejpam-4126	94	7	)	)	PUNCT
ejpam-4126	94	8	⪯	⪯	PROPN
ejpam-4126	94	9	λ	λ	PROPN
ejpam-4126	94	10	s2	s2	PROPN
ejpam-4126	94	11	g(y3n+3	g(y3n+3	PROPN
ejpam-4126	94	12	,	,	PUNCT
ejpam-4126	94	13	y3n+1	y3n+1	PROPN
ejpam-4126	94	14	,	,	PUNCT
ejpam-4126	94	15	y3n+2	y3n+2	PROPN
ejpam-4126	94	16	)	)	PUNCT
ejpam-4126	94	17	.	.	PUNCT
ejpam-4126	95	1	by	by	ADP
ejpam-4126	95	2	a	a	DET
ejpam-4126	95	3	similar	similar	ADJ
ejpam-4126	95	4	argument	argument	NOUN
ejpam-4126	95	5	,	,	PUNCT
ejpam-4126	95	6	we	we	PRON
ejpam-4126	95	7	obtain	obtain	VERB
ejpam-4126	95	8	y3n+2	y3n+2	PROPN
ejpam-4126	95	9	=	=	SYM
ejpam-4126	95	10	y3n+3	y3n+3	PROPN
ejpam-4126	95	11	.	.	PUNCT
ejpam-4126	96	1	thus	thus	ADV
ejpam-4126	96	2	(	(	PUNCT
ejpam-4126	96	3	yn	yn	NOUN
ejpam-4126	96	4	)	)	PUNCT
ejpam-4126	96	5	is	be	AUX
ejpam-4126	96	6	a	a	DET
ejpam-4126	96	7	constant	constant	ADJ
ejpam-4126	96	8	sequence	sequence	NOUN
ejpam-4126	96	9	,	,	PUNCT
ejpam-4126	96	10	which	which	PRON
ejpam-4126	96	11	implies	imply	VERB
ejpam-4126	96	12	that	that	SCONJ
ejpam-4126	96	13	(	(	PUNCT
ejpam-4126	96	14	yn	yn	NOUN
ejpam-4126	96	15	)	)	PUNCT
ejpam-4126	96	16	is	be	AUX
ejpam-4126	96	17	a	a	DET
ejpam-4126	96	18	gb	gb	NOUN
ejpam-4126	96	19	-	-	PUNCT
ejpam-4126	96	20	cauchy	cauchy	ADJ
ejpam-4126	96	21	sequence	sequence	NOUN
ejpam-4126	96	22	.	.	PUNCT
ejpam-4126	97	1	case	case	NOUN
ejpam-4126	97	2	2	2	NUM
ejpam-4126	97	3	.	.	PUNCT
ejpam-4126	97	4	m(x3n	m(x3n	PROPN
ejpam-4126	97	5	,	,	PUNCT
ejpam-4126	97	6	x3n+1	x3n+1	PROPN
ejpam-4126	97	7	,	,	PUNCT
ejpam-4126	97	8	x3n+2	x3n+2	X
ejpam-4126	97	9	)	)	PUNCT
ejpam-4126	98	1	∈	∈	PROPN
ejpam-4126	98	2	{	{	PUNCT
ejpam-4126	98	3	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	98	4	,	,	PUNCT
ejpam-4126	98	5	y3n	y3n	PROPN
ejpam-4126	98	6	,	,	PUNCT
ejpam-4126	98	7	y3n+1	y3n+1	PROPN
ejpam-4126	98	8	)	)	PUNCT
ejpam-4126	98	9	,	,	PUNCT
ejpam-4126	98	10	g(y3n	g(y3n	PROPN
ejpam-4126	98	11	,	,	PUNCT
ejpam-4126	98	12	y3n	y3n	PROPN
ejpam-4126	98	13	,	,	PUNCT
ejpam-4126	98	14	y3n+1	y3n+1	PROPN
ejpam-4126	98	15	)	)	PUNCT
ejpam-4126	98	16	,	,	PUNCT
ejpam-4126	98	17	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	98	18	,	,	PUNCT
ejpam-4126	98	19	y3n+1	y3n+1	PROPN
ejpam-4126	98	20	,	,	PUNCT
ejpam-4126	98	21	y3n+1	y3n+1	PROPN
ejpam-4126	98	22	)	)	PUNCT
ejpam-4126	98	23	,	,	PUNCT
ejpam-4126	98	24	g(y3n	g(y3n	PROPN
ejpam-4126	98	25	,	,	PUNCT
ejpam-4126	98	26	y3n+1	y3n+1	PROPN
ejpam-4126	98	27	,	,	PUNCT
ejpam-4126	98	28	y3n+1	y3n+1	PROPN
ejpam-4126	98	29	)	)	PUNCT
ejpam-4126	98	30	,	,	PUNCT
ejpam-4126	98	31	g(y3n	g(y3n	PROPN
ejpam-4126	98	32	,	,	PUNCT
ejpam-4126	98	33	y3n	y3n	PROPN
ejpam-4126	98	34	,	,	PUNCT
ejpam-4126	98	35	y3n−1	y3n−1	PROPN
ejpam-4126	98	36	)	)	PUNCT
ejpam-4126	98	37	,	,	PUNCT
ejpam-4126	98	38	g(y3n+1	g(y3n+1	PROPN
ejpam-4126	98	39	,	,	PUNCT
ejpam-4126	98	40	y3n+1	y3n+1	PROPN
ejpam-4126	98	41	,	,	PUNCT
ejpam-4126	98	42	y3n	y3n	PROPN
ejpam-4126	98	43	)	)	PUNCT
ejpam-4126	98	44	}	}	PUNCT
ejpam-4126	98	45	.	.	PUNCT
ejpam-4126	99	1	by	by	ADP
ejpam-4126	99	2	(	(	PUNCT
ejpam-4126	99	3	gbc3	gbc3	PROPN
ejpam-4126	99	4	)	)	PUNCT
ejpam-4126	99	5	and	and	CCONJ
ejpam-4126	99	6	(	(	PUNCT
ejpam-4126	99	7	gbc4	gbc4	PROPN
ejpam-4126	99	8	)	)	PUNCT
ejpam-4126	99	9	,	,	PUNCT
ejpam-4126	99	10	g(y3n	g(y3n	PROPN
ejpam-4126	99	11	,	,	PUNCT
ejpam-4126	99	12	y3n+1	y3n+1	PROPN
ejpam-4126	99	13	,	,	PUNCT
ejpam-4126	99	14	y3n+2	y3n+2	PROPN
ejpam-4126	99	15	)	)	PUNCT
ejpam-4126	99	16	⪯	⪯	PROPN
ejpam-4126	99	17	λ	λ	PROPN
ejpam-4126	99	18	s2	s2	PROPN
ejpam-4126	99	19	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	99	20	,	,	PUNCT
ejpam-4126	99	21	y3n	y3n	PROPN
ejpam-4126	99	22	,	,	PUNCT
ejpam-4126	99	23	y3n+1	y3n+1	PROPN
ejpam-4126	99	24	)	)	PUNCT
ejpam-4126	99	25	.	.	PUNCT
ejpam-4126	100	1	case	case	NOUN
ejpam-4126	100	2	3	3	NUM
ejpam-4126	100	3	.	.	PUNCT
ejpam-4126	101	1	m(x3n	m(x3n	PROPN
ejpam-4126	101	2	,	,	PUNCT
ejpam-4126	101	3	x3n+1	x3n+1	PROPN
ejpam-4126	101	4	,	,	PUNCT
ejpam-4126	101	5	x3n+2	x3n+2	X
ejpam-4126	101	6	)	)	PUNCT
ejpam-4126	101	7	∈	∈	PROPN
ejpam-4126	101	8	{	{	PUNCT
ejpam-4126	101	9	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	101	10	,	,	PUNCT
ejpam-4126	101	11	y3n	y3n	PROPN
ejpam-4126	101	12	,	,	PUNCT
ejpam-4126	101	13	y3n+2	y3n+2	PROPN
ejpam-4126	101	14	)	)	PUNCT
ejpam-4126	101	15	,	,	PUNCT
ejpam-4126	101	16	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	101	17	,	,	PUNCT
ejpam-4126	101	18	y3n+1	y3n+1	PROPN
ejpam-4126	101	19	,	,	PUNCT
ejpam-4126	101	20	y3n+2	y3n+2	PROPN
ejpam-4126	101	21	)	)	PUNCT
ejpam-4126	101	22	}	}	PUNCT
ejpam-4126	101	23	.	.	PUNCT
ejpam-4126	102	1	assumptions	assumption	NOUN
ejpam-4126	102	2	(	(	PUNCT
ejpam-4126	102	3	gbc5	gbc5	PROPN
ejpam-4126	102	4	)	)	PUNCT
ejpam-4126	102	5	,	,	PUNCT
ejpam-4126	102	6	(	(	PUNCT
ejpam-4126	102	7	gbc3	gbc3	PROPN
ejpam-4126	102	8	)	)	PUNCT
ejpam-4126	102	9	and	and	CCONJ
ejpam-4126	102	10	(	(	PUNCT
ejpam-4126	102	11	gbc4	gbc4	PROPN
ejpam-4126	102	12	)	)	PUNCT
ejpam-4126	102	13	imply	imply	VERB
ejpam-4126	102	14	g(y3n	g(y3n	PROPN
ejpam-4126	102	15	,	,	PUNCT
ejpam-4126	102	16	y3n+1	y3n+1	PROPN
ejpam-4126	102	17	,	,	PUNCT
ejpam-4126	102	18	y3n+2	y3n+2	PROPN
ejpam-4126	102	19	)	)	PUNCT
ejpam-4126	102	20	⪯	⪯	NOUN
ejpam-4126	102	21	λ	λ	PROPN
ejpam-4126	102	22	s−	s−	PROPN
ejpam-4126	102	23	λ	λ	PROPN
ejpam-4126	102	24	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	102	25	,	,	PUNCT
ejpam-4126	102	26	y3n	y3n	PROPN
ejpam-4126	102	27	,	,	PUNCT
ejpam-4126	102	28	y3n+1	y3n+1	PROPN
ejpam-4126	102	29	)	)	PUNCT
ejpam-4126	102	30	.	.	PUNCT
ejpam-4126	103	1	hence	hence	ADV
ejpam-4126	103	2	for	for	SCONJ
ejpam-4126	103	3	all	all	DET
ejpam-4126	103	4	n	n	PRON
ejpam-4126	103	5	∈	∈	PROPN
ejpam-4126	103	6	n	n	CCONJ
ejpam-4126	103	7	,	,	PUNCT
ejpam-4126	103	8	g(y3n	g(y3n	PROPN
ejpam-4126	103	9	,	,	PUNCT
ejpam-4126	103	10	y3n+1	y3n+1	PROPN
ejpam-4126	103	11	,	,	PUNCT
ejpam-4126	103	12	y3n+2	y3n+2	PROPN
ejpam-4126	103	13	)	)	PUNCT
ejpam-4126	103	14	⪯	⪯	PROPN
ejpam-4126	103	15	αg(y3n−1	αg(y3n−1	PROPN
ejpam-4126	103	16	,	,	PUNCT
ejpam-4126	103	17	y3n	y3n	PROPN
ejpam-4126	103	18	,	,	PUNCT
ejpam-4126	103	19	y3n+1	y3n+1	PROPN
ejpam-4126	103	20	)	)	PUNCT
ejpam-4126	103	21	,	,	PUNCT
ejpam-4126	103	22	(	(	PUNCT
ejpam-4126	103	23	1	1	X
ejpam-4126	103	24	)	)	PUNCT
ejpam-4126	103	25	where	where	SCONJ
ejpam-4126	103	26	α	α	PROPN
ejpam-4126	103	27	=	=	SYM
ejpam-4126	103	28	max	max	PROPN
ejpam-4126	103	29	{	{	PUNCT
ejpam-4126	103	30	λ	λ	PROPN
ejpam-4126	103	31	s−λ	s−λ	PUNCT
ejpam-4126	103	32	,	,	PUNCT
ejpam-4126	103	33	λ	λ	NOUN
ejpam-4126	103	34	s2	s2	NOUN
ejpam-4126	103	35	}	}	PUNCT
ejpam-4126	103	36	=	=	PUNCT
ejpam-4126	104	1	λ	λ	NOUN
ejpam-4126	104	2	s−λ	s−λ	PUNCT
ejpam-4126	104	3	∈	∈	PROPN
ejpam-4126	105	1	[	[	X
ejpam-4126	105	2	0	0	NUM
ejpam-4126	105	3	,	,	PUNCT
ejpam-4126	105	4	1	1	NUM
ejpam-4126	105	5	)	)	PUNCT
ejpam-4126	105	6	.	.	PUNCT
ejpam-4126	106	1	similarly	similarly	ADV
ejpam-4126	106	2	we	we	PRON
ejpam-4126	106	3	can	can	AUX
ejpam-4126	106	4	prove	prove	VERB
ejpam-4126	106	5	that	that	PRON
ejpam-4126	106	6	g(y3n+1	g(y3n+1	NOUN
ejpam-4126	106	7	,	,	PUNCT
ejpam-4126	106	8	y3n+2	y3n+2	PROPN
ejpam-4126	106	9	,	,	PUNCT
ejpam-4126	106	10	y3n+3	y3n+3	NOUN
ejpam-4126	106	11	)	)	PUNCT
ejpam-4126	106	12	⪯	⪯	VERB
ejpam-4126	106	13	αg(y3n	αg(y3n	PROPN
ejpam-4126	106	14	,	,	PUNCT
ejpam-4126	106	15	y3n+1	y3n+1	PROPN
ejpam-4126	106	16	,	,	PUNCT
ejpam-4126	106	17	y3n+2	y3n+2	PROPN
ejpam-4126	106	18	)	)	PUNCT
ejpam-4126	106	19	(	(	PUNCT
ejpam-4126	106	20	2	2	NUM
ejpam-4126	106	21	)	)	PUNCT
ejpam-4126	106	22	and	and	CCONJ
ejpam-4126	106	23	g(y3n+2	g(y3n+2	NOUN
ejpam-4126	106	24	,	,	PUNCT
ejpam-4126	106	25	y3n+3	y3n+3	PROPN
ejpam-4126	106	26	,	,	PUNCT
ejpam-4126	106	27	y3n+4	y3n+4	PROPN
ejpam-4126	106	28	)	)	PUNCT
ejpam-4126	106	29	⪯	⪯	PROPN
ejpam-4126	106	30	αg(y3n+1	αg(y3n+1	PROPN
ejpam-4126	106	31	,	,	PUNCT
ejpam-4126	106	32	y3n+2	y3n+2	PROPN
ejpam-4126	106	33	,	,	PUNCT
ejpam-4126	106	34	y3n+3	y3n+3	NOUN
ejpam-4126	106	35	)	)	PUNCT
ejpam-4126	106	36	.	.	PUNCT
ejpam-4126	107	1	(	(	PUNCT
ejpam-4126	107	2	3	3	X
ejpam-4126	107	3	)	)	PUNCT
ejpam-4126	107	4	s.	s.	PROPN
ejpam-4126	107	5	benchabane	benchabane	PROPN
ejpam-4126	107	6	,	,	PUNCT
ejpam-4126	107	7	s.	s.	PROPN
ejpam-4126	107	8	djebali	djebali	PROPN
ejpam-4126	107	9	/	/	SYM
ejpam-4126	107	10	eur	eur	PROPN
ejpam-4126	107	11	.	.	PUNCT
ejpam-4126	108	1	j.	j.	PROPN
ejpam-4126	108	2	pure	pure	PROPN
ejpam-4126	108	3	appl	appl	PROPN
ejpam-4126	108	4	.	.	PROPN
ejpam-4126	108	5	math	math	PROPN
ejpam-4126	108	6	,	,	PUNCT
ejpam-4126	108	7	14	14	NUM
ejpam-4126	108	8	(	(	PUNCT
ejpam-4126	108	9	4	4	NUM
ejpam-4126	108	10	)	)	PUNCT
ejpam-4126	108	11	(	(	PUNCT
ejpam-4126	108	12	2021	2021	NUM
ejpam-4126	108	13	)	)	PUNCT
ejpam-4126	108	14	,	,	PUNCT
ejpam-4126	108	15	1350	1350	NUM
ejpam-4126	108	16	-	-	SYM
ejpam-4126	108	17	1366	1366	NUM
ejpam-4126	108	18	1355	1355	NUM
ejpam-4126	108	19	from	from	ADP
ejpam-4126	108	20	(	(	PUNCT
ejpam-4126	108	21	1	1	NUM
ejpam-4126	108	22	)	)	PUNCT
ejpam-4126	108	23	,	,	PUNCT
ejpam-4126	108	24	(	(	PUNCT
ejpam-4126	108	25	2	2	NUM
ejpam-4126	108	26	)	)	PUNCT
ejpam-4126	108	27	,	,	PUNCT
ejpam-4126	108	28	and	and	CCONJ
ejpam-4126	108	29	(	(	PUNCT
ejpam-4126	108	30	3	3	X
ejpam-4126	108	31	)	)	PUNCT
ejpam-4126	108	32	that	that	PRON
ejpam-4126	108	33	,	,	PUNCT
ejpam-4126	108	34	for	for	ADP
ejpam-4126	108	35	all	all	DET
ejpam-4126	108	36	n	n	PRON
ejpam-4126	108	37	∈	∈	PROPN
ejpam-4126	108	38	n	n	CCONJ
ejpam-4126	108	39	,	,	PUNCT
ejpam-4126	108	40	we	we	PRON
ejpam-4126	108	41	get	get	VERB
ejpam-4126	108	42	g(yn	g(yn	NOUN
ejpam-4126	108	43	,	,	PUNCT
ejpam-4126	108	44	yn+1	yn+1	PROPN
ejpam-4126	108	45	,	,	PUNCT
ejpam-4126	108	46	yn+2	yn+2	NUM
ejpam-4126	108	47	)	)	PUNCT
ejpam-4126	108	48	⪯	⪯	NOUN
ejpam-4126	108	49	αg(yn−1	αg(yn−1	PROPN
ejpam-4126	108	50	,	,	PUNCT
ejpam-4126	108	51	yn	yn	PROPN
ejpam-4126	108	52	,	,	PUNCT
ejpam-4126	108	53	yn+1	yn+1	PROPN
ejpam-4126	108	54	)	)	PUNCT
ejpam-4126	108	55	.	.	PUNCT
ejpam-4126	109	1	(	(	PUNCT
ejpam-4126	109	2	4	4	NUM
ejpam-4126	109	3	)	)	PUNCT
ejpam-4126	109	4	from	from	ADP
ejpam-4126	109	5	the	the	DET
ejpam-4126	109	6	inequality	inequality	NOUN
ejpam-4126	109	7	in	in	ADP
ejpam-4126	109	8	(	(	PUNCT
ejpam-4126	109	9	4	4	NUM
ejpam-4126	109	10	)	)	PUNCT
ejpam-4126	109	11	,	,	PUNCT
ejpam-4126	109	12	we	we	PRON
ejpam-4126	109	13	infer	infer	VERB
ejpam-4126	109	14	that	that	SCONJ
ejpam-4126	109	15	for	for	ADP
ejpam-4126	109	16	all	all	DET
ejpam-4126	109	17	n	n	PRON
ejpam-4126	109	18	∈	∈	PROPN
ejpam-4126	109	19	n	n	CCONJ
ejpam-4126	109	20	,	,	PUNCT
ejpam-4126	109	21	g(yn	g(yn	PROPN
ejpam-4126	109	22	,	,	PUNCT
ejpam-4126	109	23	yn+1	yn+1	PROPN
ejpam-4126	109	24	,	,	PUNCT
ejpam-4126	109	25	yn+2	yn+2	NUM
ejpam-4126	109	26	)	)	PUNCT
ejpam-4126	109	27	⪯	⪯	NOUN
ejpam-4126	109	28	αg(yn−1	αg(yn−1	PROPN
ejpam-4126	109	29	,	,	PUNCT
ejpam-4126	109	30	yn	yn	PROPN
ejpam-4126	109	31	,	,	PUNCT
ejpam-4126	109	32	yn+1	yn+1	X
ejpam-4126	109	33	)	)	PUNCT
ejpam-4126	109	34	⪯	⪯	NOUN
ejpam-4126	109	35	·	·	PUNCT
ejpam-4126	109	36	·	·	PUNCT
ejpam-4126	109	37	·	·	PUNCT
ejpam-4126	110	1	⪯	⪯	PROPN
ejpam-4126	110	2	αng(y0	αng(y0	PROPN
ejpam-4126	110	3	,	,	PUNCT
ejpam-4126	110	4	y1	y1	NOUN
ejpam-4126	110	5	,	,	PUNCT
ejpam-4126	110	6	y2	y2	PROPN
ejpam-4126	110	7	)	)	PUNCT
ejpam-4126	110	8	.	.	PUNCT
ejpam-4126	111	1	(	(	PUNCT
ejpam-4126	111	2	5	5	X
ejpam-4126	111	3	)	)	PUNCT
ejpam-4126	111	4	for	for	ADP
ejpam-4126	111	5	every	every	DET
ejpam-4126	111	6	n	n	CCONJ
ejpam-4126	111	7	,	,	PUNCT
ejpam-4126	111	8	m	m	VERB
ejpam-4126	111	9	∈	∈	NOUN
ejpam-4126	111	10	n	n	NOUN
ejpam-4126	111	11	with	with	ADP
ejpam-4126	111	12	m	m	PROPN
ejpam-4126	111	13	>	>	X
ejpam-4126	111	14	n	n	CCONJ
ejpam-4126	111	15	,	,	PUNCT
ejpam-4126	111	16	using	use	VERB
ejpam-4126	111	17	(	(	PUNCT
ejpam-4126	111	18	gbc5	gbc5	PROPN
ejpam-4126	111	19	)	)	PUNCT
ejpam-4126	111	20	,	,	PUNCT
ejpam-4126	111	21	(	(	PUNCT
ejpam-4126	111	22	gbc3	gbc3	PROPN
ejpam-4126	111	23	)	)	PUNCT
ejpam-4126	111	24	,	,	PUNCT
ejpam-4126	111	25	(	(	PUNCT
ejpam-4126	111	26	gbc4	gbc4	PROPN
ejpam-4126	111	27	)	)	PUNCT
ejpam-4126	111	28	,	,	PUNCT
ejpam-4126	111	29	and	and	CCONJ
ejpam-4126	111	30	(	(	PUNCT
ejpam-4126	111	31	5	5	NUM
ejpam-4126	111	32	)	)	PUNCT
ejpam-4126	111	33	,	,	PUNCT
ejpam-4126	111	34	we	we	PRON
ejpam-4126	111	35	deduce	deduce	VERB
ejpam-4126	111	36	that	that	SCONJ
ejpam-4126	111	37	g(yn	g(yn	PROPN
ejpam-4126	111	38	,	,	PUNCT
ejpam-4126	111	39	ym	ym	PROPN
ejpam-4126	111	40	,	,	PUNCT
ejpam-4126	111	41	ym	ym	PROPN
ejpam-4126	111	42	)	)	PUNCT
ejpam-4126	111	43	⪯	⪯	PROPN
ejpam-4126	111	44	sg(yn	sg(yn	PROPN
ejpam-4126	111	45	,	,	PUNCT
ejpam-4126	111	46	yn+1	yn+1	PROPN
ejpam-4126	111	47	,	,	PUNCT
ejpam-4126	111	48	yn+1	yn+1	X
ejpam-4126	111	49	)	)	PUNCT
ejpam-4126	111	50	+	+	CCONJ
ejpam-4126	111	51	s2g(yn+1	s2g(yn+1	ADJ
ejpam-4126	111	52	,	,	PUNCT
ejpam-4126	111	53	yn+2	yn+2	PROPN
ejpam-4126	111	54	,	,	PUNCT
ejpam-4126	111	55	yn+2	yn+2	NUM
ejpam-4126	111	56	)	)	PUNCT
ejpam-4126	111	57	+	+	CCONJ
ejpam-4126	111	58	·	·	PUNCT
ejpam-4126	111	59	·	·	PUNCT
ejpam-4126	111	60	·	·	PUNCT
ejpam-4126	111	61	+	+	NUM
ejpam-4126	111	62	sm−n	sm−n	PROPN
ejpam-4126	111	63	g(ym−1	g(ym−1	PROPN
ejpam-4126	111	64	,	,	PUNCT
ejpam-4126	111	65	ym	ym	PROPN
ejpam-4126	111	66	,	,	PUNCT
ejpam-4126	111	67	ym	ym	PROPN
ejpam-4126	111	68	)	)	PUNCT
ejpam-4126	111	69	⪯	⪯	PROPN
ejpam-4126	111	70	sg(yn	sg(yn	PROPN
ejpam-4126	111	71	,	,	PUNCT
ejpam-4126	111	72	yn+1	yn+1	PROPN
ejpam-4126	111	73	,	,	PUNCT
ejpam-4126	111	74	yn+2	yn+2	NUM
ejpam-4126	111	75	)	)	PUNCT
ejpam-4126	112	1	+	+	CCONJ
ejpam-4126	112	2	s2g(yn+1	s2g(yn+1	ADJ
ejpam-4126	112	3	,	,	PUNCT
ejpam-4126	112	4	yn+2	yn+2	NUM
ejpam-4126	112	5	,	,	PUNCT
ejpam-4126	112	6	yn+3	yn+3	ADP
ejpam-4126	112	7	)	)	PUNCT
ejpam-4126	113	1	+	+	CCONJ
ejpam-4126	113	2	·	·	PUNCT
ejpam-4126	113	3	·	·	PUNCT
ejpam-4126	113	4	·	·	PUNCT
ejpam-4126	113	5	+	+	NUM
ejpam-4126	113	6	sm−n	sm−n	PROPN
ejpam-4126	113	7	g(ym−1	g(ym−1	PROPN
ejpam-4126	113	8	,	,	PUNCT
ejpam-4126	113	9	ym	ym	PROPN
ejpam-4126	113	10	,	,	PUNCT
ejpam-4126	113	11	ym+1	ym+1	PROPN
ejpam-4126	113	12	)	)	PUNCT
ejpam-4126	113	13	⪯	⪯	NOUN
ejpam-4126	113	14	sαng(y0	sαng(y0	NOUN
ejpam-4126	113	15	,	,	PUNCT
ejpam-4126	113	16	y1	y1	NOUN
ejpam-4126	113	17	,	,	PUNCT
ejpam-4126	113	18	y2	y2	PROPN
ejpam-4126	113	19	)	)	PUNCT
ejpam-4126	114	1	+	+	CCONJ
ejpam-4126	114	2	s2αn+1g(y0	s2αn+1g(y0	PROPN
ejpam-4126	114	3	,	,	PUNCT
ejpam-4126	114	4	y1	y1	NOUN
ejpam-4126	114	5	,	,	PUNCT
ejpam-4126	114	6	y2	y2	PROPN
ejpam-4126	114	7	)	)	PUNCT
ejpam-4126	115	1	+	+	CCONJ
ejpam-4126	115	2	·	·	PUNCT
ejpam-4126	115	3	·	·	PUNCT
ejpam-4126	115	4	·	·	PUNCT
ejpam-4126	115	5	+	+	NUM
ejpam-4126	115	6	sm−nαm−1	sm−nαm−1	NOUN
ejpam-4126	115	7	g(y0	g(y0	NOUN
ejpam-4126	115	8	,	,	PUNCT
ejpam-4126	115	9	y1	y1	NOUN
ejpam-4126	115	10	,	,	PUNCT
ejpam-4126	115	11	y2	y2	NOUN
ejpam-4126	115	12	)	)	PUNCT
ejpam-4126	116	1	=	=	SYM
ejpam-4126	116	2	sαng(y0	sαng(y0	NOUN
ejpam-4126	116	3	,	,	PUNCT
ejpam-4126	116	4	y1	y1	NOUN
ejpam-4126	116	5	,	,	PUNCT
ejpam-4126	116	6	y2)(1	y2)(1	PRON
ejpam-4126	116	7	+	+	CCONJ
ejpam-4126	116	8	sα+	sα+	NOUN
ejpam-4126	116	9	·	·	PUNCT
ejpam-4126	116	10	·	·	PUNCT
ejpam-4126	116	11	·	·	PUNCT
ejpam-4126	117	1	+	+	CCONJ
ejpam-4126	117	2	(	(	PUNCT
ejpam-4126	117	3	sα)m−n−1	sα)m−n−1	ADJ
ejpam-4126	117	4	)	)	PUNCT
ejpam-4126	117	5	⪯	⪯	NOUN
ejpam-4126	117	6	sαn	sαn	VERB
ejpam-4126	117	7	1−sαg(y0	1−sαg(y0	NUM
ejpam-4126	117	8	,	,	PUNCT
ejpam-4126	117	9	y1	y1	NOUN
ejpam-4126	117	10	,	,	PUNCT
ejpam-4126	117	11	y2	y2	PROPN
ejpam-4126	117	12	)	)	PUNCT
ejpam-4126	117	13	→	→	SYM
ejpam-4126	117	14	θ	θ	PROPN
ejpam-4126	117	15	,	,	PUNCT
ejpam-4126	117	16	as	as	SCONJ
ejpam-4126	117	17	n	n	PRON
ejpam-4126	117	18	→	→	PUNCT
ejpam-4126	117	19	+	+	PROPN
ejpam-4126	117	20	∞.	∞.	PROPN
ejpam-4126	117	21	by	by	ADP
ejpam-4126	117	22	lemma	lemma	PROPN
ejpam-4126	117	23	1	1	NUM
ejpam-4126	117	24	(	(	PUNCT
ejpam-4126	117	25	pt7	pt7	NOUN
ejpam-4126	117	26	)	)	PUNCT
ejpam-4126	117	27	,	,	PUNCT
ejpam-4126	117	28	for	for	ADP
ejpam-4126	117	29	every	every	DET
ejpam-4126	117	30	c	c	PROPN
ejpam-4126	117	31	∈	∈	PROPN
ejpam-4126	117	32	e	e	NOUN
ejpam-4126	117	33	with	with	ADP
ejpam-4126	117	34	c	c	PROPN
ejpam-4126	117	35	≫	≫	PROPN
ejpam-4126	117	36	θ	θ	PROPN
ejpam-4126	117	37	,	,	PUNCT
ejpam-4126	117	38	there	there	PRON
ejpam-4126	117	39	exists	exist	VERB
ejpam-4126	117	40	n0	n0	PROPN
ejpam-4126	117	41	∈	∈	PROPN
ejpam-4126	117	42	n	n	PRON
ejpam-4126	117	43	such	such	ADJ
ejpam-4126	117	44	that	that	PRON
ejpam-4126	117	45	for	for	SCONJ
ejpam-4126	117	46	all	all	PRON
ejpam-4126	117	47	n	n	PRON
ejpam-4126	117	48	>	>	X
ejpam-4126	117	49	n0	n0	PROPN
ejpam-4126	117	50	,	,	PUNCT
ejpam-4126	117	51	sαn	sαn	VERB
ejpam-4126	117	52	1−	1−	NUM
ejpam-4126	117	53	sα	sα	PROPN
ejpam-4126	117	54	g(y0	g(y0	NOUN
ejpam-4126	117	55	,	,	PUNCT
ejpam-4126	117	56	y1	y1	NOUN
ejpam-4126	117	57	,	,	PUNCT
ejpam-4126	117	58	y2	y2	PROPN
ejpam-4126	117	59	)	)	PUNCT
ejpam-4126	117	60	≪	≪	PUNCT
ejpam-4126	117	61	c.	c.	PROPN
ejpam-4126	117	62	moreover	moreover	ADV
ejpam-4126	117	63	,	,	PUNCT
ejpam-4126	117	64	for	for	ADP
ejpam-4126	117	65	any	any	DET
ejpam-4126	117	66	m	m	NOUN
ejpam-4126	117	67	>	>	X
ejpam-4126	117	68	n	n	PROPN
ejpam-4126	117	69	>	>	X
ejpam-4126	117	70	n0	n0	PROPN
ejpam-4126	117	71	,	,	PUNCT
ejpam-4126	117	72	by	by	ADP
ejpam-4126	117	73	lemma	lemma	PROPN
ejpam-4126	117	74	1	1	NUM
ejpam-4126	117	75	(	(	PUNCT
ejpam-4126	117	76	pt1	pt1	PROPN
ejpam-4126	117	77	)	)	PUNCT
ejpam-4126	117	78	,	,	PUNCT
ejpam-4126	117	79	g(yn	g(yn	PROPN
ejpam-4126	117	80	,	,	PUNCT
ejpam-4126	117	81	ym	ym	PROPN
ejpam-4126	117	82	,	,	PUNCT
ejpam-4126	117	83	ym	ym	PROPN
ejpam-4126	117	84	)	)	PUNCT
ejpam-4126	117	85	≪	≪	PUNCT
ejpam-4126	117	86	c.	c.	NOUN
ejpam-4126	117	87	using	use	VERB
ejpam-4126	117	88	proposition	proposition	NOUN
ejpam-4126	117	89	1	1	NUM
ejpam-4126	117	90	,	,	PUNCT
ejpam-4126	117	91	we	we	PRON
ejpam-4126	117	92	conclude	conclude	VERB
ejpam-4126	117	93	that	that	SCONJ
ejpam-4126	117	94	(	(	PUNCT
ejpam-4126	117	95	yn	yn	NOUN
ejpam-4126	117	96	)	)	PUNCT
ejpam-4126	117	97	is	be	AUX
ejpam-4126	117	98	a	a	DET
ejpam-4126	117	99	gb	gb	NOUN
ejpam-4126	117	100	-	-	PUNCT
ejpam-4126	117	101	cauchy	cauchy	ADJ
ejpam-4126	117	102	sequence	sequence	NOUN
ejpam-4126	117	103	in	in	ADP
ejpam-4126	117	104	f(x	f(x	PROPN
ejpam-4126	117	105	)	)	PUNCT
ejpam-4126	117	106	.	.	PUNCT
ejpam-4126	118	1	since	since	SCONJ
ejpam-4126	118	2	f(x	f(x	PROPN
ejpam-4126	118	3	)	)	PUNCT
ejpam-4126	118	4	is	be	AUX
ejpam-4126	118	5	gb	gb	ADV
ejpam-4126	118	6	-	-	PUNCT
ejpam-4126	118	7	complete	complete	ADJ
ejpam-4126	118	8	subspace	subspace	NOUN
ejpam-4126	118	9	of	of	ADP
ejpam-4126	118	10	x	x	PRON
ejpam-4126	118	11	,	,	PUNCT
ejpam-4126	118	12	there	there	PRON
ejpam-4126	118	13	exists	exist	VERB
ejpam-4126	118	14	v	v	ADP
ejpam-4126	118	15	∈	∈	PROPN
ejpam-4126	118	16	f(x	f(x	PROPN
ejpam-4126	118	17	)	)	PUNCT
ejpam-4126	118	18	such	such	ADJ
ejpam-4126	118	19	that	that	SCONJ
ejpam-4126	118	20	f(xn	f(xn	NOUN
ejpam-4126	118	21	)	)	PUNCT
ejpam-4126	118	22	→	→	SYM
ejpam-4126	118	23	v	v	NOUN
ejpam-4126	118	24	,	,	PUNCT
ejpam-4126	118	25	as	as	ADP
ejpam-4126	118	26	n	n	PRON
ejpam-4126	118	27	→	→	PUNCT
ejpam-4126	118	28	+	+	PROPN
ejpam-4126	118	29	∞.	∞.	PROPN
ejpam-4126	118	30	consequently	consequently	ADV
ejpam-4126	118	31	,	,	PUNCT
ejpam-4126	118	32	there	there	PRON
ejpam-4126	118	33	is	be	VERB
ejpam-4126	118	34	an	an	DET
ejpam-4126	118	35	u	u	NOUN
ejpam-4126	118	36	∈	∈	PROPN
ejpam-4126	118	37	x	x	PUNCT
ejpam-4126	118	38	such	such	ADJ
ejpam-4126	118	39	that	that	DET
ejpam-4126	118	40	fu	fu	NOUN
ejpam-4126	119	1	=	=	NOUN
ejpam-4126	119	2	v.	v.	CCONJ
ejpam-4126	119	3	since	since	SCONJ
ejpam-4126	119	4	the	the	DET
ejpam-4126	119	5	sequences	sequence	NOUN
ejpam-4126	119	6	(	(	PUNCT
ejpam-4126	119	7	fx3n+1	fx3n+1	NOUN
ejpam-4126	119	8	)	)	PUNCT
ejpam-4126	119	9	=	=	SYM
ejpam-4126	119	10	(	(	PUNCT
ejpam-4126	119	11	fx3n	fx3n	PROPN
ejpam-4126	119	12	)	)	PUNCT
ejpam-4126	119	13	,	,	PUNCT
ejpam-4126	119	14	(	(	PUNCT
ejpam-4126	119	15	fx3n+2	fx3n+2	NOUN
ejpam-4126	119	16	)	)	PUNCT
ejpam-4126	119	17	=	=	PUNCT
ejpam-4126	119	18	(	(	PUNCT
ejpam-4126	119	19	tx3n+1	tx3n+1	PROPN
ejpam-4126	119	20	)	)	PUNCT
ejpam-4126	119	21	,	,	PUNCT
ejpam-4126	119	22	and	and	CCONJ
ejpam-4126	119	23	(	(	PUNCT
ejpam-4126	119	24	fx3n+3	fx3n+3	PROPN
ejpam-4126	119	25	)	)	PUNCT
ejpam-4126	120	1	=	=	SYM
ejpam-4126	120	2	(	(	PUNCT
ejpam-4126	120	3	rx3n+2	rx3n+2	NOUN
ejpam-4126	120	4	)	)	PUNCT
ejpam-4126	120	5	are	be	AUX
ejpam-4126	120	6	subsequences	subsequence	NOUN
ejpam-4126	120	7	of	of	ADP
ejpam-4126	120	8	(	(	PUNCT
ejpam-4126	120	9	yn	yn	PROPN
ejpam-4126	120	10	)	)	PUNCT
ejpam-4126	120	11	,	,	PUNCT
ejpam-4126	120	12	they	they	PRON
ejpam-4126	120	13	converge	converge	VERB
ejpam-4126	120	14	to	to	PART
ejpam-4126	120	15	u.	u.	VERB
ejpam-4126	120	16	next	next	ADV
ejpam-4126	120	17	we	we	PRON
ejpam-4126	120	18	prove	prove	VERB
ejpam-4126	120	19	that	that	DET
ejpam-4126	120	20	fu	fu	NOUN
ejpam-4126	120	21	=	=	PUNCT
ejpam-4126	120	22	fu	fu	NOUN
ejpam-4126	120	23	.	.	PUNCT
ejpam-4126	121	1	by	by	ADP
ejpam-4126	121	2	(	(	PUNCT
ejpam-4126	121	3	gbc5	gbc5	PROPN
ejpam-4126	121	4	)	)	PUNCT
ejpam-4126	121	5	and	and	CCONJ
ejpam-4126	121	6	(	(	PUNCT
ejpam-4126	121	7	gbc3	gbc3	PROPN
ejpam-4126	121	8	)	)	PUNCT
ejpam-4126	121	9	,	,	PUNCT
ejpam-4126	121	10	we	we	PRON
ejpam-4126	121	11	have	have	VERB
ejpam-4126	121	12	for	for	ADP
ejpam-4126	121	13	all	all	PRON
ejpam-4126	121	14	n	n	PRON
ejpam-4126	121	15	∈	∈	PROPN
ejpam-4126	121	16	n	n	X
ejpam-4126	121	17	g(fu	g(fu	PROPN
ejpam-4126	121	18	,	,	PUNCT
ejpam-4126	121	19	fu	fu	ADJ
ejpam-4126	121	20	,	,	PUNCT
ejpam-4126	121	21	fu	fu	NOUN
ejpam-4126	121	22	)	)	PUNCT
ejpam-4126	121	23	⪯	⪯	NOUN
ejpam-4126	121	24	sg(fu	sg(fu	PROPN
ejpam-4126	121	25	,	,	PUNCT
ejpam-4126	121	26	y3n+1	y3n+1	PROPN
ejpam-4126	121	27	,	,	PUNCT
ejpam-4126	121	28	y3n+1	y3n+1	PROPN
ejpam-4126	121	29	)	)	PUNCT
ejpam-4126	121	30	+	+	NUM
ejpam-4126	121	31	sg(y3n+1	sg(y3n+1	ADJ
ejpam-4126	121	32	,	,	PUNCT
ejpam-4126	121	33	fu	fu	ADJ
ejpam-4126	121	34	,	,	PUNCT
ejpam-4126	121	35	fu	fu	NOUN
ejpam-4126	121	36	)	)	PUNCT
ejpam-4126	121	37	⪯	⪯	NOUN
ejpam-4126	121	38	sg(fu	sg(fu	PROPN
ejpam-4126	121	39	,	,	PUNCT
ejpam-4126	121	40	y3n+1	y3n+1	PROPN
ejpam-4126	121	41	,	,	PUNCT
ejpam-4126	121	42	y3n+2	y3n+2	PROPN
ejpam-4126	121	43	)	)	PUNCT
ejpam-4126	122	1	+	+	PUNCT
ejpam-4126	122	2	sg(y3n+1	sg(y3n+1	ADJ
ejpam-4126	122	3	,	,	PUNCT
ejpam-4126	122	4	fu	fu	ADJ
ejpam-4126	122	5	,	,	PUNCT
ejpam-4126	122	6	fu	fu	NOUN
ejpam-4126	122	7	)	)	PUNCT
ejpam-4126	122	8	.	.	PUNCT
ejpam-4126	123	1	the	the	DET
ejpam-4126	123	2	contractive	contractive	ADJ
ejpam-4126	123	3	condition	condition	NOUN
ejpam-4126	123	4	yields	yield	VERB
ejpam-4126	123	5	that	that	SCONJ
ejpam-4126	123	6	for	for	ADP
ejpam-4126	123	7	all	all	DET
ejpam-4126	123	8	n	n	PRON
ejpam-4126	123	9	∈	∈	PROPN
ejpam-4126	123	10	n	n	CCONJ
ejpam-4126	123	11	,	,	PUNCT
ejpam-4126	123	12	there	there	PRON
ejpam-4126	123	13	exists	exist	VERB
ejpam-4126	124	1	m(u	m(u	PROPN
ejpam-4126	124	2	,	,	PUNCT
ejpam-4126	124	3	x3n+1	x3n+1	PROPN
ejpam-4126	124	4	,	,	PUNCT
ejpam-4126	124	5	x3n+2	x3n+2	X
ejpam-4126	124	6	)	)	PUNCT
ejpam-4126	124	7	∈	∈	PROPN
ejpam-4126	124	8	{	{	PUNCT
ejpam-4126	124	9	g(fu	g(fu	PROPN
ejpam-4126	124	10	,	,	PUNCT
ejpam-4126	124	11	fx3n+1	fx3n+1	ADJ
ejpam-4126	124	12	,	,	PUNCT
ejpam-4126	124	13	fx3n+2	fx3n+2	NOUN
ejpam-4126	124	14	)	)	PUNCT
ejpam-4126	124	15	,	,	PUNCT
ejpam-4126	124	16	g(fu	g(fu	PROPN
ejpam-4126	124	17	,	,	PUNCT
ejpam-4126	124	18	fx3n+1	fx3n+1	ADJ
ejpam-4126	124	19	,	,	PUNCT
ejpam-4126	124	20	fx3n+2	fx3n+2	NOUN
ejpam-4126	124	21	)	)	PUNCT
ejpam-4126	124	22	,	,	PUNCT
ejpam-4126	124	23	g(fu	g(fu	PROPN
ejpam-4126	124	24	,	,	PUNCT
ejpam-4126	124	25	tx3n+1	tx3n+1	PROPN
ejpam-4126	124	26	,	,	PUNCT
ejpam-4126	124	27	fx3n+2	fx3n+2	NOUN
ejpam-4126	124	28	)	)	PUNCT
ejpam-4126	124	29	,	,	PUNCT
ejpam-4126	124	30	g(fu	g(fu	PROPN
ejpam-4126	124	31	,	,	PUNCT
ejpam-4126	124	32	fx3n+1	fx3n+1	ADJ
ejpam-4126	124	33	,	,	PUNCT
ejpam-4126	124	34	rx3n+2	rx3n+2	NOUN
ejpam-4126	124	35	)	)	PUNCT
ejpam-4126	124	36	,	,	PUNCT
ejpam-4126	124	37	g(fu	g(fu	PROPN
ejpam-4126	124	38	,	,	PUNCT
ejpam-4126	124	39	tx3n+1	tx3n+1	NOUN
ejpam-4126	124	40	,	,	PUNCT
ejpam-4126	124	41	rx3n+2	rx3n+2	NOUN
ejpam-4126	124	42	)	)	PUNCT
ejpam-4126	124	43	,	,	PUNCT
ejpam-4126	124	44	g(fu	g(fu	PROPN
ejpam-4126	124	45	,	,	PUNCT
ejpam-4126	124	46	fx3n+1	fx3n+1	ADJ
ejpam-4126	124	47	,	,	PUNCT
ejpam-4126	124	48	rx3n+2	rx3n+2	NOUN
ejpam-4126	124	49	)	)	PUNCT
ejpam-4126	124	50	,	,	PUNCT
ejpam-4126	124	51	g(fu	g(fu	PROPN
ejpam-4126	124	52	,	,	PUNCT
ejpam-4126	124	53	tx3n+1	tx3n+1	PROPN
ejpam-4126	124	54	,	,	PUNCT
ejpam-4126	124	55	fx3n+2	fx3n+2	NOUN
ejpam-4126	124	56	)	)	PUNCT
ejpam-4126	124	57	,	,	PUNCT
ejpam-4126	124	58	g(fu	g(fu	PROPN
ejpam-4126	124	59	,	,	PUNCT
ejpam-4126	124	60	fu	fu	ADJ
ejpam-4126	124	61	,	,	PUNCT
ejpam-4126	124	62	fu	fu	NOUN
ejpam-4126	124	63	)	)	PUNCT
ejpam-4126	124	64	,	,	PUNCT
ejpam-4126	124	65	g(tx3n+1	g(tx3n+1	PROPN
ejpam-4126	124	66	,	,	PUNCT
ejpam-4126	124	67	tx3n+1	tx3n+1	PROPN
ejpam-4126	124	68	,	,	PUNCT
ejpam-4126	124	69	fx3n+1	fx3n+1	NOUN
ejpam-4126	124	70	)	)	PUNCT
ejpam-4126	124	71	,	,	PUNCT
ejpam-4126	124	72	g(rx3n+2	g(rx3n+2	PROPN
ejpam-4126	124	73	,	,	PUNCT
ejpam-4126	124	74	rx3n+2	rx3n+2	PROPN
ejpam-4126	124	75	,	,	PUNCT
ejpam-4126	124	76	fx3n+2	fx3n+2	NOUN
ejpam-4126	124	77	)	)	PUNCT
ejpam-4126	124	78	}	}	PUNCT
ejpam-4126	124	79	=	=	SYM
ejpam-4126	124	80	{	{	PUNCT
ejpam-4126	124	81	g(fu	g(fu	PROPN
ejpam-4126	124	82	,	,	PUNCT
ejpam-4126	124	83	y3n	y3n	PROPN
ejpam-4126	124	84	,	,	PUNCT
ejpam-4126	124	85	y3n+1	y3n+1	PROPN
ejpam-4126	124	86	)	)	PUNCT
ejpam-4126	124	87	,	,	PUNCT
ejpam-4126	124	88	g(fu	g(fu	PROPN
ejpam-4126	124	89	,	,	PUNCT
ejpam-4126	124	90	y3n	y3n	PROPN
ejpam-4126	124	91	,	,	PUNCT
ejpam-4126	124	92	y3n+1	y3n+1	PROPN
ejpam-4126	124	93	)	)	PUNCT
ejpam-4126	124	94	,	,	PUNCT
ejpam-4126	124	95	g(fu	g(fu	PROPN
ejpam-4126	124	96	,	,	PUNCT
ejpam-4126	124	97	y3n+1	y3n+1	PROPN
ejpam-4126	124	98	,	,	PUNCT
ejpam-4126	124	99	y3n+1	y3n+1	PROPN
ejpam-4126	124	100	)	)	PUNCT
ejpam-4126	124	101	,	,	PUNCT
ejpam-4126	124	102	g(fu	g(fu	PROPN
ejpam-4126	124	103	,	,	PUNCT
ejpam-4126	124	104	y3n	y3n	PROPN
ejpam-4126	124	105	,	,	PUNCT
ejpam-4126	124	106	y3n+2	y3n+2	PROPN
ejpam-4126	124	107	)	)	PUNCT
ejpam-4126	124	108	,	,	PUNCT
ejpam-4126	124	109	g(fu	g(fu	PROPN
ejpam-4126	124	110	,	,	PUNCT
ejpam-4126	124	111	y3n+1	y3n+1	PROPN
ejpam-4126	124	112	,	,	PUNCT
ejpam-4126	124	113	y3n+2	y3n+2	PROPN
ejpam-4126	124	114	)	)	PUNCT
ejpam-4126	124	115	,	,	PUNCT
ejpam-4126	124	116	g(fu	g(fu	PROPN
ejpam-4126	124	117	,	,	PUNCT
ejpam-4126	124	118	y3n	y3n	PROPN
ejpam-4126	124	119	,	,	PUNCT
ejpam-4126	124	120	y3n+2	y3n+2	PROPN
ejpam-4126	124	121	)	)	PUNCT
ejpam-4126	124	122	,	,	PUNCT
ejpam-4126	124	123	g(fu	g(fu	PROPN
ejpam-4126	124	124	,	,	PUNCT
ejpam-4126	124	125	y3n+1	y3n+1	PROPN
ejpam-4126	124	126	,	,	PUNCT
ejpam-4126	124	127	y3n+1)g(fu	y3n+1)g(fu	PROPN
ejpam-4126	124	128	,	,	PUNCT
ejpam-4126	124	129	fu	fu	ADJ
ejpam-4126	124	130	,	,	PUNCT
ejpam-4126	124	131	fu	fu	NOUN
ejpam-4126	124	132	)	)	PUNCT
ejpam-4126	124	133	,	,	PUNCT
ejpam-4126	124	134	g(y3n+1	g(y3n+1	PROPN
ejpam-4126	124	135	,	,	PUNCT
ejpam-4126	124	136	y3n+1	y3n+1	PROPN
ejpam-4126	124	137	,	,	PUNCT
ejpam-4126	124	138	y3n	y3n	PROPN
ejpam-4126	124	139	)	)	PUNCT
ejpam-4126	124	140	,	,	PUNCT
ejpam-4126	124	141	g(y3n+2	g(y3n+2	PROPN
ejpam-4126	124	142	,	,	PUNCT
ejpam-4126	124	143	y3n+2	y3n+2	PROPN
ejpam-4126	124	144	,	,	PUNCT
ejpam-4126	124	145	y3n+1	y3n+1	PROPN
ejpam-4126	124	146	)	)	PUNCT
ejpam-4126	124	147	}	}	PUNCT
ejpam-4126	124	148	s.	s.	PROPN
ejpam-4126	124	149	benchabane	benchabane	PROPN
ejpam-4126	124	150	,	,	PUNCT
ejpam-4126	124	151	s.	s.	PROPN
ejpam-4126	124	152	djebali	djebali	PROPN
ejpam-4126	124	153	/	/	SYM
ejpam-4126	124	154	eur	eur	PROPN
ejpam-4126	124	155	.	.	PUNCT
ejpam-4126	125	1	j.	j.	PROPN
ejpam-4126	125	2	pure	pure	PROPN
ejpam-4126	125	3	appl	appl	PROPN
ejpam-4126	125	4	.	.	PROPN
ejpam-4126	125	5	math	math	PROPN
ejpam-4126	125	6	,	,	PUNCT
ejpam-4126	125	7	14	14	NUM
ejpam-4126	125	8	(	(	PUNCT
ejpam-4126	125	9	4	4	NUM
ejpam-4126	125	10	)	)	PUNCT
ejpam-4126	125	11	(	(	PUNCT
ejpam-4126	125	12	2021	2021	NUM
ejpam-4126	125	13	)	)	PUNCT
ejpam-4126	125	14	,	,	PUNCT
ejpam-4126	125	15	1350	1350	NUM
ejpam-4126	125	16	-	-	SYM
ejpam-4126	125	17	1366	1366	NUM
ejpam-4126	125	18	1356	1356	NUM
ejpam-4126	126	1	such	such	ADJ
ejpam-4126	126	2	that	that	SCONJ
ejpam-4126	126	3	g(fu	g(fu	PROPN
ejpam-4126	126	4	,	,	PUNCT
ejpam-4126	126	5	fu	fu	ADJ
ejpam-4126	126	6	,	,	PUNCT
ejpam-4126	126	7	fu	fu	NOUN
ejpam-4126	126	8	)	)	PUNCT
ejpam-4126	126	9	⪯	⪯	NOUN
ejpam-4126	126	10	sg(fu	sg(fu	PROPN
ejpam-4126	126	11	,	,	PUNCT
ejpam-4126	126	12	tx3n+1	tx3n+1	PROPN
ejpam-4126	126	13	,	,	PUNCT
ejpam-4126	126	14	rx3n+2	rx3n+2	NUM
ejpam-4126	126	15	)	)	PUNCT
ejpam-4126	126	16	+	+	NUM
ejpam-4126	126	17	sg(y3n+1	sg(y3n+1	ADJ
ejpam-4126	126	18	,	,	PUNCT
ejpam-4126	126	19	fu	fu	ADJ
ejpam-4126	126	20	,	,	PUNCT
ejpam-4126	126	21	fu	fu	NOUN
ejpam-4126	126	22	)	)	PUNCT
ejpam-4126	126	23	⪯	⪯	NOUN
ejpam-4126	126	24	λ	λ	PROPN
ejpam-4126	126	25	sm(u	sm(u	PROPN
ejpam-4126	126	26	,	,	PUNCT
ejpam-4126	126	27	x3n+1	x3n+1	PROPN
ejpam-4126	126	28	,	,	PUNCT
ejpam-4126	126	29	x3n+2	x3n+2	X
ejpam-4126	126	30	)	)	PUNCT
ejpam-4126	127	1	+	+	PUNCT
ejpam-4126	127	2	sg(y3n+1	sg(y3n+1	ADJ
ejpam-4126	127	3	,	,	PUNCT
ejpam-4126	127	4	fu	fu	ADJ
ejpam-4126	127	5	,	,	PUNCT
ejpam-4126	127	6	fu	fu	NOUN
ejpam-4126	127	7	)	)	PUNCT
ejpam-4126	127	8	.	.	PUNCT
ejpam-4126	128	1	we	we	PRON
ejpam-4126	128	2	distinguish	distinguish	VERB
ejpam-4126	128	3	between	between	ADP
ejpam-4126	128	4	three	three	NUM
ejpam-4126	128	5	cases	case	NOUN
ejpam-4126	128	6	.	.	PUNCT
ejpam-4126	129	1	case	case	NOUN
ejpam-4126	129	2	1	1	NUM
ejpam-4126	129	3	.	.	PUNCT
ejpam-4126	130	1	m(u	m(u	PROPN
ejpam-4126	130	2	,	,	PUNCT
ejpam-4126	130	3	x3n+1	x3n+1	PROPN
ejpam-4126	130	4	,	,	PUNCT
ejpam-4126	130	5	x3n+2	x3n+2	X
ejpam-4126	130	6	)	)	PUNCT
ejpam-4126	130	7	∈	∈	PROPN
ejpam-4126	130	8	{	{	PUNCT
ejpam-4126	130	9	g(fu	g(fu	PROPN
ejpam-4126	130	10	,	,	PUNCT
ejpam-4126	130	11	y3n	y3n	PROPN
ejpam-4126	130	12	,	,	PUNCT
ejpam-4126	130	13	y3n+1	y3n+1	PROPN
ejpam-4126	130	14	)	)	PUNCT
ejpam-4126	130	15	,	,	PUNCT
ejpam-4126	130	16	g(fu	g(fu	PROPN
ejpam-4126	130	17	,	,	PUNCT
ejpam-4126	130	18	y3n+1	y3n+1	PROPN
ejpam-4126	130	19	,	,	PUNCT
ejpam-4126	130	20	y3n+1	y3n+1	PROPN
ejpam-4126	130	21	)	)	PUNCT
ejpam-4126	130	22	,	,	PUNCT
ejpam-4126	130	23	g(fu	g(fu	PROPN
ejpam-4126	130	24	,	,	PUNCT
ejpam-4126	130	25	y3n	y3n	PROPN
ejpam-4126	130	26	,	,	PUNCT
ejpam-4126	130	27	y3n+2	y3n+2	PROPN
ejpam-4126	130	28	)	)	PUNCT
ejpam-4126	130	29	,	,	PUNCT
ejpam-4126	130	30	g(fu	g(fu	PROPN
ejpam-4126	130	31	,	,	PUNCT
ejpam-4126	130	32	y3n+1	y3n+1	PROPN
ejpam-4126	130	33	,	,	PUNCT
ejpam-4126	130	34	y3n+2	y3n+2	PROPN
ejpam-4126	130	35	)	)	PUNCT
ejpam-4126	130	36	,	,	PUNCT
ejpam-4126	130	37	g(y3n+1	g(y3n+1	PROPN
ejpam-4126	130	38	,	,	PUNCT
ejpam-4126	130	39	y3n+1	y3n+1	PROPN
ejpam-4126	130	40	,	,	PUNCT
ejpam-4126	130	41	y3n	y3n	PROPN
ejpam-4126	130	42	)	)	PUNCT
ejpam-4126	130	43	,	,	PUNCT
ejpam-4126	130	44	g(y3n+2	g(y3n+2	PROPN
ejpam-4126	130	45	,	,	PUNCT
ejpam-4126	130	46	y3n+2	y3n+2	PROPN
ejpam-4126	130	47	,	,	PUNCT
ejpam-4126	130	48	y3n+1	y3n+1	PROPN
ejpam-4126	130	49	)	)	PUNCT
ejpam-4126	130	50	}	}	PUNCT
ejpam-4126	130	51	if	if	SCONJ
ejpam-4126	130	52	,	,	PUNCT
ejpam-4126	130	53	e.g.	e.g.	ADV
ejpam-4126	130	54	,	,	PUNCT
ejpam-4126	130	55	m(u	m(u	PROPN
ejpam-4126	130	56	,	,	PUNCT
ejpam-4126	130	57	x3n+1	x3n+1	PROPN
ejpam-4126	130	58	,	,	PUNCT
ejpam-4126	130	59	x3n+2	x3n+2	X
ejpam-4126	130	60	)	)	PUNCT
ejpam-4126	130	61	=	=	SYM
ejpam-4126	130	62	g(fu	g(fu	PROPN
ejpam-4126	130	63	,	,	PUNCT
ejpam-4126	130	64	y3n	y3n	PROPN
ejpam-4126	130	65	,	,	PUNCT
ejpam-4126	130	66	y3n+1	y3n+1	PROPN
ejpam-4126	130	67	)	)	PUNCT
ejpam-4126	130	68	,	,	PUNCT
ejpam-4126	130	69	then	then	ADV
ejpam-4126	130	70	for	for	ADP
ejpam-4126	130	71	all	all	DET
ejpam-4126	130	72	n	n	PRON
ejpam-4126	130	73	∈	∈	PROPN
ejpam-4126	130	74	n	n	CCONJ
ejpam-4126	130	75	,	,	PUNCT
ejpam-4126	130	76	g(fu	g(fu	PROPN
ejpam-4126	130	77	,	,	PUNCT
ejpam-4126	130	78	fu	fu	ADJ
ejpam-4126	130	79	,	,	PUNCT
ejpam-4126	130	80	fu	fu	NOUN
ejpam-4126	130	81	)	)	PUNCT
ejpam-4126	130	82	⪯	⪯	NOUN
ejpam-4126	130	83	λ	λ	PROPN
ejpam-4126	130	84	s	s	PART
ejpam-4126	130	85	g(fu	g(fu	PROPN
ejpam-4126	130	86	,	,	PUNCT
ejpam-4126	130	87	y3n	y3n	PROPN
ejpam-4126	130	88	,	,	PUNCT
ejpam-4126	130	89	y3n+1	y3n+1	NOUN
ejpam-4126	130	90	)	)	PUNCT
ejpam-4126	130	91	+	+	NUM
ejpam-4126	130	92	sg(y3n+1	sg(y3n+1	ADJ
ejpam-4126	130	93	,	,	PUNCT
ejpam-4126	130	94	fu	fu	ADJ
ejpam-4126	130	95	,	,	PUNCT
ejpam-4126	130	96	fu	fu	NOUN
ejpam-4126	130	97	)	)	PUNCT
ejpam-4126	130	98	.	.	PUNCT
ejpam-4126	131	1	since	since	SCONJ
ejpam-4126	131	2	yn	yn	PROPN
ejpam-4126	131	3	→	→	SYM
ejpam-4126	131	4	fu	fu	PROPN
ejpam-4126	131	5	,	,	PUNCT
ejpam-4126	131	6	as	as	ADP
ejpam-4126	131	7	n	n	PROPN
ejpam-4126	131	8	→	→	SYM
ejpam-4126	131	9	+	+	PROPN
ejpam-4126	131	10	∞	∞	PROPN
ejpam-4126	131	11	,	,	PUNCT
ejpam-4126	131	12	then	then	ADV
ejpam-4126	131	13	for	for	ADP
ejpam-4126	131	14	c	c	PROPN
ejpam-4126	131	15	≫	≫	PROPN
ejpam-4126	131	16	θ	θ	PROPN
ejpam-4126	131	17	,	,	PUNCT
ejpam-4126	131	18	there	there	PRON
ejpam-4126	131	19	exists	exist	VERB
ejpam-4126	131	20	n0	n0	PROPN
ejpam-4126	131	21	∈	∈	PROPN
ejpam-4126	131	22	n	n	PRON
ejpam-4126	131	23	such	such	ADJ
ejpam-4126	131	24	that	that	PRON
ejpam-4126	131	25	for	for	ADP
ejpam-4126	131	26	all	all	DET
ejpam-4126	131	27	n	n	PRON
ejpam-4126	131	28	>	>	X
ejpam-4126	131	29	n0	n0	PROPN
ejpam-4126	131	30	,	,	PUNCT
ejpam-4126	131	31	g(fu	g(fu	PROPN
ejpam-4126	131	32	,	,	PUNCT
ejpam-4126	131	33	y3n	y3n	PROPN
ejpam-4126	131	34	,	,	PUNCT
ejpam-4126	131	35	y3n+1	y3n+1	NOUN
ejpam-4126	131	36	)	)	PUNCT
ejpam-4126	131	37	≪	≪	PUNCT
ejpam-4126	131	38	sc	sc	PROPN
ejpam-4126	131	39	2λ	2λ	NOUN
ejpam-4126	131	40	,	,	PUNCT
ejpam-4126	131	41	g(y3n+1	g(y3n+1	PROPN
ejpam-4126	131	42	,	,	PUNCT
ejpam-4126	131	43	fu	fu	ADJ
ejpam-4126	131	44	,	,	PUNCT
ejpam-4126	131	45	fu	fu	NOUN
ejpam-4126	131	46	)	)	PUNCT
ejpam-4126	131	47	≪	≪	PUNCT
ejpam-4126	131	48	c	c	PROPN
ejpam-4126	131	49	2s	2s	NUM
ejpam-4126	131	50	.	.	PUNCT
ejpam-4126	132	1	hence	hence	ADV
ejpam-4126	132	2	θ	θ	PROPN
ejpam-4126	132	3	⪯	⪯	NOUN
ejpam-4126	132	4	g(fu	g(fu	PROPN
ejpam-4126	132	5	,	,	PUNCT
ejpam-4126	132	6	fu	fu	ADJ
ejpam-4126	132	7	,	,	PUNCT
ejpam-4126	132	8	fu	fu	NOUN
ejpam-4126	132	9	)	)	PUNCT
ejpam-4126	132	10	⪯	⪯	NOUN
ejpam-4126	132	11	λ	λ	PROPN
ejpam-4126	132	12	s	s	PART
ejpam-4126	132	13	g(fu	g(fu	PROPN
ejpam-4126	132	14	,	,	PUNCT
ejpam-4126	132	15	y3n	y3n	PROPN
ejpam-4126	132	16	,	,	PUNCT
ejpam-4126	132	17	y3n+1	y3n+1	NOUN
ejpam-4126	132	18	)	)	PUNCT
ejpam-4126	132	19	+	+	NUM
ejpam-4126	133	1	sg(y3n+1	sg(y3n+1	ADJ
ejpam-4126	133	2	,	,	PUNCT
ejpam-4126	133	3	fu	fu	ADJ
ejpam-4126	133	4	,	,	PUNCT
ejpam-4126	133	5	fu	fu	NOUN
ejpam-4126	133	6	)	)	PUNCT
ejpam-4126	134	1	≪	≪	PUNCT
ejpam-4126	134	2	c.	c.	NOUN
ejpam-4126	134	3	by	by	ADP
ejpam-4126	134	4	lemma	lemma	PROPN
ejpam-4126	134	5	1	1	NUM
ejpam-4126	134	6	(	(	PUNCT
ejpam-4126	134	7	pt4	pt4	NOUN
ejpam-4126	134	8	)	)	PUNCT
ejpam-4126	134	9	,	,	PUNCT
ejpam-4126	134	10	g(fu	g(fu	PROPN
ejpam-4126	134	11	,	,	PUNCT
ejpam-4126	134	12	fu	fu	ADJ
ejpam-4126	134	13	,	,	PUNCT
ejpam-4126	134	14	fu	fu	NOUN
ejpam-4126	134	15	)	)	PUNCT
ejpam-4126	134	16	=	=	SYM
ejpam-4126	134	17	θ	θ	NOUN
ejpam-4126	134	18	,	,	PUNCT
ejpam-4126	134	19	that	that	PRON
ejpam-4126	134	20	is	be	AUX
ejpam-4126	134	21	fu	fu	ADJ
ejpam-4126	134	22	=	=	SYM
ejpam-4126	134	23	fu	fu	PROPN
ejpam-4126	134	24	.	.	PUNCT
ejpam-4126	135	1	the	the	DET
ejpam-4126	135	2	remaining	remain	VERB
ejpam-4126	135	3	cases	case	NOUN
ejpam-4126	135	4	are	be	AUX
ejpam-4126	135	5	readily	readily	ADV
ejpam-4126	135	6	dealt	deal	VERB
ejpam-4126	135	7	with	with	ADP
ejpam-4126	135	8	in	in	ADP
ejpam-4126	135	9	a	a	DET
ejpam-4126	135	10	similar	similar	ADJ
ejpam-4126	135	11	way	way	NOUN
ejpam-4126	135	12	.	.	PUNCT
ejpam-4126	136	1	case	case	NOUN
ejpam-4126	136	2	2	2	NUM
ejpam-4126	136	3	.	.	PUNCT
ejpam-4126	137	1	m(u	m(u	PROPN
ejpam-4126	137	2	,	,	PUNCT
ejpam-4126	137	3	x3n+1	x3n+1	PROPN
ejpam-4126	137	4	,	,	PUNCT
ejpam-4126	137	5	x3n+2	x3n+2	X
ejpam-4126	137	6	)	)	PUNCT
ejpam-4126	137	7	∈	∈	PROPN
ejpam-4126	137	8	{	{	PUNCT
ejpam-4126	137	9	g(fu	g(fu	PROPN
ejpam-4126	137	10	,	,	PUNCT
ejpam-4126	137	11	y3n	y3n	PROPN
ejpam-4126	137	12	,	,	PUNCT
ejpam-4126	137	13	y3n+1	y3n+1	PROPN
ejpam-4126	137	14	)	)	PUNCT
ejpam-4126	137	15	,	,	PUNCT
ejpam-4126	137	16	g(fu	g(fu	PROPN
ejpam-4126	137	17	,	,	PUNCT
ejpam-4126	137	18	y3n	y3n	PROPN
ejpam-4126	137	19	,	,	PUNCT
ejpam-4126	137	20	y3n+2	y3n+2	PROPN
ejpam-4126	137	21	)	)	PUNCT
ejpam-4126	137	22	,	,	PUNCT
ejpam-4126	137	23	g(fu	g(fu	PROPN
ejpam-4126	137	24	,	,	PUNCT
ejpam-4126	137	25	y3n+1	y3n+1	PROPN
ejpam-4126	137	26	,	,	PUNCT
ejpam-4126	137	27	y3n+1	y3n+1	PROPN
ejpam-4126	137	28	)	)	PUNCT
ejpam-4126	137	29	}	}	PUNCT
ejpam-4126	137	30	.	.	PUNCT
ejpam-4126	138	1	if	if	SCONJ
ejpam-4126	138	2	m(u	m(u	PROPN
ejpam-4126	138	3	,	,	PUNCT
ejpam-4126	138	4	x3n+1	x3n+1	PROPN
ejpam-4126	138	5	,	,	PUNCT
ejpam-4126	138	6	x3n+2	x3n+2	X
ejpam-4126	138	7	)	)	PUNCT
ejpam-4126	138	8	=	=	SYM
ejpam-4126	138	9	g(fu	g(fu	PROPN
ejpam-4126	138	10	,	,	PUNCT
ejpam-4126	138	11	y3n	y3n	PROPN
ejpam-4126	138	12	,	,	PUNCT
ejpam-4126	138	13	y3n+1	y3n+1	PROPN
ejpam-4126	138	14	)	)	PUNCT
ejpam-4126	138	15	,	,	PUNCT
ejpam-4126	138	16	then	then	ADV
ejpam-4126	138	17	by	by	ADP
ejpam-4126	138	18	(	(	PUNCT
ejpam-4126	138	19	gbc5	gbc5	PROPN
ejpam-4126	138	20	)	)	PUNCT
ejpam-4126	138	21	,	,	PUNCT
ejpam-4126	138	22	for	for	ADP
ejpam-4126	138	23	all	all	DET
ejpam-4126	138	24	n	n	DET
ejpam-4126	138	25	∈	∈	PROPN
ejpam-4126	138	26	n	n	CCONJ
ejpam-4126	138	27	,	,	PUNCT
ejpam-4126	138	28	we	we	PRON
ejpam-4126	138	29	get	get	VERB
ejpam-4126	138	30	g(fu	g(fu	PROPN
ejpam-4126	138	31	,	,	PUNCT
ejpam-4126	138	32	fu	fu	ADJ
ejpam-4126	138	33	,	,	PUNCT
ejpam-4126	138	34	fu	fu	NOUN
ejpam-4126	138	35	)	)	PUNCT
ejpam-4126	138	36	⪯	⪯	NOUN
ejpam-4126	138	37	λ	λ	X
ejpam-4126	138	38	sg(fu	sg(fu	PROPN
ejpam-4126	138	39	,	,	PUNCT
ejpam-4126	138	40	y3n	y3n	PROPN
ejpam-4126	138	41	,	,	PUNCT
ejpam-4126	138	42	y3n+1	y3n+1	NOUN
ejpam-4126	138	43	)	)	PUNCT
ejpam-4126	139	1	+	+	NUM
ejpam-4126	139	2	sg(y3n+1	sg(y3n+1	ADJ
ejpam-4126	139	3	,	,	PUNCT
ejpam-4126	139	4	fu	fu	ADJ
ejpam-4126	139	5	,	,	PUNCT
ejpam-4126	139	6	fu	fu	NOUN
ejpam-4126	139	7	)	)	PUNCT
ejpam-4126	139	8	⪯	⪯	NOUN
ejpam-4126	139	9	λg(fu	λg(fu	PROPN
ejpam-4126	139	10	,	,	PUNCT
ejpam-4126	139	11	fu	fu	NOUN
ejpam-4126	139	12	,	,	PUNCT
ejpam-4126	139	13	fu	fu	NOUN
ejpam-4126	139	14	)	)	PUNCT
ejpam-4126	140	1	+	+	CCONJ
ejpam-4126	140	2	λg(fu	λg(fu	PROPN
ejpam-4126	140	3	,	,	PUNCT
ejpam-4126	140	4	y3n	y3n	PROPN
ejpam-4126	140	5	,	,	PUNCT
ejpam-4126	140	6	y3n+1	y3n+1	NOUN
ejpam-4126	140	7	)	)	PUNCT
ejpam-4126	140	8	+	+	NUM
ejpam-4126	140	9	sg(y3n+1	sg(y3n+1	ADJ
ejpam-4126	140	10	,	,	PUNCT
ejpam-4126	140	11	fu	fu	ADJ
ejpam-4126	140	12	,	,	PUNCT
ejpam-4126	140	13	fu	fu	PROPN
ejpam-4126	140	14	)	)	PUNCT
ejpam-4126	140	15	,	,	PUNCT
ejpam-4126	140	16	which	which	PRON
ejpam-4126	140	17	implies	imply	VERB
ejpam-4126	140	18	that	that	SCONJ
ejpam-4126	140	19	(	(	PUNCT
ejpam-4126	140	20	1−	1−	NUM
ejpam-4126	140	21	λ)g(fu	λ)g(fu	NUM
ejpam-4126	140	22	,	,	PUNCT
ejpam-4126	140	23	fu	fu	ADJ
ejpam-4126	140	24	,	,	PUNCT
ejpam-4126	140	25	fu	fu	NOUN
ejpam-4126	140	26	)	)	PUNCT
ejpam-4126	140	27	⪯	⪯	NOUN
ejpam-4126	140	28	λg(fu	λg(fu	PROPN
ejpam-4126	140	29	,	,	PUNCT
ejpam-4126	140	30	y3n	y3n	PROPN
ejpam-4126	140	31	,	,	PUNCT
ejpam-4126	140	32	y3n+1	y3n+1	NOUN
ejpam-4126	140	33	)	)	PUNCT
ejpam-4126	141	1	+	+	NUM
ejpam-4126	141	2	sg(y3n+1	sg(y3n+1	ADJ
ejpam-4126	141	3	,	,	PUNCT
ejpam-4126	141	4	fu	fu	ADJ
ejpam-4126	141	5	,	,	PUNCT
ejpam-4126	141	6	fu	fu	NOUN
ejpam-4126	141	7	)	)	PUNCT
ejpam-4126	141	8	.	.	PUNCT
ejpam-4126	142	1	since	since	SCONJ
ejpam-4126	142	2	yn	yn	PROPN
ejpam-4126	142	3	→	→	SYM
ejpam-4126	142	4	fu	fu	NOUN
ejpam-4126	142	5	as	as	ADP
ejpam-4126	142	6	n	n	PROPN
ejpam-4126	142	7	→	→	SYM
ejpam-4126	142	8	+	+	PROPN
ejpam-4126	142	9	∞	∞	PROPN
ejpam-4126	142	10	,	,	PUNCT
ejpam-4126	142	11	then	then	ADV
ejpam-4126	142	12	for	for	ADP
ejpam-4126	142	13	c	c	PROPN
ejpam-4126	142	14	≫	≫	PROPN
ejpam-4126	142	15	θ	θ	PROPN
ejpam-4126	142	16	,	,	PUNCT
ejpam-4126	142	17	there	there	PRON
ejpam-4126	142	18	exists	exist	VERB
ejpam-4126	142	19	n0	n0	PROPN
ejpam-4126	142	20	∈	∈	PROPN
ejpam-4126	142	21	n	n	PRON
ejpam-4126	142	22	such	such	ADJ
ejpam-4126	142	23	that	that	PRON
ejpam-4126	142	24	for	for	ADP
ejpam-4126	142	25	all	all	DET
ejpam-4126	142	26	n	n	PRON
ejpam-4126	142	27	>	>	X
ejpam-4126	142	28	n0	n0	PROPN
ejpam-4126	142	29	,	,	PUNCT
ejpam-4126	142	30	g(fu	g(fu	PROPN
ejpam-4126	142	31	,	,	PUNCT
ejpam-4126	142	32	y3n	y3n	PROPN
ejpam-4126	142	33	,	,	PUNCT
ejpam-4126	142	34	y3n+1	y3n+1	NOUN
ejpam-4126	142	35	)	)	PUNCT
ejpam-4126	142	36	≪	≪	PUNCT
ejpam-4126	142	37	c	c	PROPN
ejpam-4126	142	38	2λ	2λ	NOUN
ejpam-4126	142	39	,	,	PUNCT
ejpam-4126	142	40	g(y3n+1	g(y3n+1	PROPN
ejpam-4126	142	41	,	,	PUNCT
ejpam-4126	142	42	fu	fu	ADJ
ejpam-4126	142	43	,	,	PUNCT
ejpam-4126	142	44	fu	fu	NOUN
ejpam-4126	142	45	)	)	PUNCT
ejpam-4126	142	46	≪	≪	PUNCT
ejpam-4126	142	47	c	c	PROPN
ejpam-4126	142	48	2s	2s	NUM
ejpam-4126	142	49	.	.	PUNCT
ejpam-4126	143	1	hence	hence	ADV
ejpam-4126	143	2	θ	θ	PROPN
ejpam-4126	143	3	⪯	⪯	NOUN
ejpam-4126	143	4	(	(	PUNCT
ejpam-4126	143	5	1−	1−	NUM
ejpam-4126	143	6	λ)g(fu	λ)g(fu	NUM
ejpam-4126	143	7	,	,	PUNCT
ejpam-4126	143	8	fu	fu	ADJ
ejpam-4126	143	9	,	,	PUNCT
ejpam-4126	143	10	fu	fu	NOUN
ejpam-4126	143	11	)	)	PUNCT
ejpam-4126	143	12	⪯	⪯	NOUN
ejpam-4126	143	13	λg(fu	λg(fu	PROPN
ejpam-4126	143	14	,	,	PUNCT
ejpam-4126	143	15	y3n	y3n	PROPN
ejpam-4126	143	16	,	,	PUNCT
ejpam-4126	143	17	y3n+1	y3n+1	NOUN
ejpam-4126	143	18	)	)	PUNCT
ejpam-4126	143	19	+	+	NUM
ejpam-4126	143	20	sg(y3n+1	sg(y3n+1	ADJ
ejpam-4126	143	21	,	,	PUNCT
ejpam-4126	143	22	fu	fu	ADJ
ejpam-4126	143	23	,	,	PUNCT
ejpam-4126	143	24	fu	fu	NOUN
ejpam-4126	143	25	)	)	PUNCT
ejpam-4126	143	26	≪	≪	PUNCT
ejpam-4126	143	27	c.	c.	NOUN
ejpam-4126	143	28	by	by	ADP
ejpam-4126	143	29	lemma	lemma	PROPN
ejpam-4126	143	30	1	1	NUM
ejpam-4126	143	31	(	(	PUNCT
ejpam-4126	143	32	pt4	pt4	NOUN
ejpam-4126	143	33	)	)	PUNCT
ejpam-4126	143	34	,	,	PUNCT
ejpam-4126	143	35	(	(	PUNCT
ejpam-4126	143	36	1−	1−	NUM
ejpam-4126	143	37	λ)g(fu	λ)g(fu	NUM
ejpam-4126	143	38	,	,	PUNCT
ejpam-4126	143	39	fu	fu	ADJ
ejpam-4126	143	40	,	,	PUNCT
ejpam-4126	143	41	fu	fu	NOUN
ejpam-4126	143	42	)	)	PUNCT
ejpam-4126	143	43	=	=	SYM
ejpam-4126	143	44	θ	θ	NOUN
ejpam-4126	143	45	,	,	PUNCT
ejpam-4126	143	46	that	that	PRON
ejpam-4126	143	47	is	be	AUX
ejpam-4126	143	48	fu	fu	ADJ
ejpam-4126	143	49	=	=	SYM
ejpam-4126	143	50	fu	fu	PROPN
ejpam-4126	143	51	.	.	PUNCT
ejpam-4126	144	1	the	the	DET
ejpam-4126	144	2	remaining	remain	VERB
ejpam-4126	144	3	cases	case	NOUN
ejpam-4126	144	4	are	be	AUX
ejpam-4126	144	5	analogous	analogous	ADJ
ejpam-4126	144	6	.	.	PUNCT
ejpam-4126	145	1	case	case	NOUN
ejpam-4126	145	2	3	3	NUM
ejpam-4126	145	3	.	.	PUNCT
ejpam-4126	146	1	m(u	m(u	PROPN
ejpam-4126	146	2	,	,	PUNCT
ejpam-4126	146	3	x3n+1	x3n+1	PROPN
ejpam-4126	146	4	,	,	PUNCT
ejpam-4126	146	5	x3n+2	x3n+2	X
ejpam-4126	146	6	)	)	PUNCT
ejpam-4126	146	7	=	=	SYM
ejpam-4126	147	1	g(fu	g(fu	PROPN
ejpam-4126	147	2	,	,	PUNCT
ejpam-4126	147	3	fu	fu	ADJ
ejpam-4126	147	4	,	,	PUNCT
ejpam-4126	147	5	fu	fu	NOUN
ejpam-4126	147	6	)	)	PUNCT
ejpam-4126	147	7	.	.	PUNCT
ejpam-4126	148	1	by	by	ADP
ejpam-4126	148	2	(	(	PUNCT
ejpam-4126	148	3	gbc5	gbc5	PROPN
ejpam-4126	148	4	)	)	PUNCT
ejpam-4126	148	5	and	and	CCONJ
ejpam-4126	148	6	(	(	PUNCT
ejpam-4126	148	7	gbc4	gbc4	PROPN
ejpam-4126	148	8	)	)	PUNCT
ejpam-4126	148	9	,	,	PUNCT
ejpam-4126	148	10	for	for	ADP
ejpam-4126	148	11	all	all	DET
ejpam-4126	148	12	n	n	DET
ejpam-4126	148	13	∈	∈	PROPN
ejpam-4126	148	14	n	n	CCONJ
ejpam-4126	148	15	,	,	PUNCT
ejpam-4126	148	16	we	we	PRON
ejpam-4126	148	17	have	have	VERB
ejpam-4126	148	18	(	(	PUNCT
ejpam-4126	148	19	1−	1−	NUM
ejpam-4126	148	20	2λ)g(fu	2λ)g(fu	NUM
ejpam-4126	148	21	,	,	PUNCT
ejpam-4126	148	22	fu	fu	ADJ
ejpam-4126	148	23	,	,	PUNCT
ejpam-4126	148	24	fu	fu	NOUN
ejpam-4126	148	25	)	)	PUNCT
ejpam-4126	148	26	⪯	⪯	PROPN
ejpam-4126	148	27	sg(y3n+1	sg(y3n+1	PROPN
ejpam-4126	148	28	,	,	PUNCT
ejpam-4126	148	29	fu	fu	ADJ
ejpam-4126	148	30	,	,	PUNCT
ejpam-4126	148	31	fu	fu	NOUN
ejpam-4126	148	32	)	)	PUNCT
ejpam-4126	148	33	.	.	PUNCT
ejpam-4126	149	1	s.	s.	PROPN
ejpam-4126	149	2	benchabane	benchabane	PROPN
ejpam-4126	149	3	,	,	PUNCT
ejpam-4126	149	4	s.	s.	PROPN
ejpam-4126	149	5	djebali	djebali	PROPN
ejpam-4126	149	6	/	/	SYM
ejpam-4126	149	7	eur	eur	PROPN
ejpam-4126	149	8	.	.	PUNCT
ejpam-4126	150	1	j.	j.	PROPN
ejpam-4126	150	2	pure	pure	PROPN
ejpam-4126	150	3	appl	appl	PROPN
ejpam-4126	150	4	.	.	PROPN
ejpam-4126	150	5	math	math	PROPN
ejpam-4126	150	6	,	,	PUNCT
ejpam-4126	150	7	14	14	NUM
ejpam-4126	150	8	(	(	PUNCT
ejpam-4126	150	9	4	4	NUM
ejpam-4126	150	10	)	)	PUNCT
ejpam-4126	150	11	(	(	PUNCT
ejpam-4126	150	12	2021	2021	NUM
ejpam-4126	150	13	)	)	PUNCT
ejpam-4126	150	14	,	,	PUNCT
ejpam-4126	150	15	1350	1350	NUM
ejpam-4126	150	16	-	-	SYM
ejpam-4126	150	17	1366	1366	NUM
ejpam-4126	150	18	1357	1357	NUM
ejpam-4126	150	19	since	since	SCONJ
ejpam-4126	150	20	yn	yn	PROPN
ejpam-4126	150	21	→	→	SYM
ejpam-4126	150	22	fu	fu	NOUN
ejpam-4126	150	23	as	as	ADP
ejpam-4126	150	24	n	n	PROPN
ejpam-4126	150	25	→	→	SYM
ejpam-4126	150	26	+	+	PROPN
ejpam-4126	150	27	∞	∞	PROPN
ejpam-4126	150	28	,	,	PUNCT
ejpam-4126	150	29	then	then	ADV
ejpam-4126	150	30	for	for	ADP
ejpam-4126	150	31	c	c	PROPN
ejpam-4126	150	32	≫	≫	PROPN
ejpam-4126	150	33	θ	θ	PROPN
ejpam-4126	150	34	,	,	PUNCT
ejpam-4126	150	35	there	there	PRON
ejpam-4126	150	36	exists	exist	VERB
ejpam-4126	150	37	n0	n0	PROPN
ejpam-4126	150	38	∈	∈	PROPN
ejpam-4126	150	39	n	n	PRON
ejpam-4126	150	40	such	such	ADJ
ejpam-4126	150	41	that	that	PRON
ejpam-4126	150	42	for	for	ADP
ejpam-4126	150	43	all	all	DET
ejpam-4126	150	44	n	n	PROPN
ejpam-4126	150	45	>	>	X
ejpam-4126	150	46	n0	n0	PROPN
ejpam-4126	150	47	,	,	PUNCT
ejpam-4126	150	48	g(y3n+1	g(y3n+1	PROPN
ejpam-4126	150	49	,	,	PUNCT
ejpam-4126	150	50	fu	fu	ADJ
ejpam-4126	150	51	,	,	PUNCT
ejpam-4126	150	52	fu	fu	NOUN
ejpam-4126	150	53	)	)	PUNCT
ejpam-4126	150	54	≪	≪	PUNCT
ejpam-4126	150	55	c	c	PROPN
ejpam-4126	150	56	s	s	PART
ejpam-4126	150	57	.	.	PUNCT
ejpam-4126	151	1	hence	hence	ADV
ejpam-4126	151	2	θ	θ	PROPN
ejpam-4126	151	3	⪯	⪯	NOUN
ejpam-4126	151	4	(	(	PUNCT
ejpam-4126	151	5	1−	1−	NUM
ejpam-4126	151	6	2λ)g(fu	2λ)g(fu	NUM
ejpam-4126	151	7	,	,	PUNCT
ejpam-4126	151	8	fu	fu	ADJ
ejpam-4126	151	9	,	,	PUNCT
ejpam-4126	151	10	fu	fu	NOUN
ejpam-4126	151	11	)	)	PUNCT
ejpam-4126	151	12	⪯	⪯	PROPN
ejpam-4126	151	13	sg(y3n+1	sg(y3n+1	PROPN
ejpam-4126	151	14	,	,	PUNCT
ejpam-4126	151	15	fu	fu	ADJ
ejpam-4126	151	16	,	,	PUNCT
ejpam-4126	151	17	fu	fu	NOUN
ejpam-4126	151	18	)	)	PUNCT
ejpam-4126	151	19	≪	≪	PUNCT
ejpam-4126	151	20	c.	c.	NOUN
ejpam-4126	151	21	by	by	ADP
ejpam-4126	151	22	lemma	lemma	PROPN
ejpam-4126	151	23	1	1	NUM
ejpam-4126	151	24	(	(	PUNCT
ejpam-4126	151	25	pt4	pt4	NOUN
ejpam-4126	151	26	)	)	PUNCT
ejpam-4126	151	27	,	,	PUNCT
ejpam-4126	151	28	(	(	PUNCT
ejpam-4126	151	29	1−	1−	NUM
ejpam-4126	151	30	2λ)g(fu	2λ)g(fu	NUM
ejpam-4126	151	31	,	,	PUNCT
ejpam-4126	151	32	fu	fu	ADJ
ejpam-4126	151	33	,	,	PUNCT
ejpam-4126	151	34	fu	fu	NOUN
ejpam-4126	151	35	)	)	PUNCT
ejpam-4126	151	36	=	=	SYM
ejpam-4126	151	37	θ	θ	NOUN
ejpam-4126	151	38	,	,	PUNCT
ejpam-4126	151	39	that	that	PRON
ejpam-4126	151	40	is	be	AUX
ejpam-4126	151	41	fu	fu	ADJ
ejpam-4126	151	42	=	=	SYM
ejpam-4126	151	43	fu	fu	PROPN
ejpam-4126	151	44	.	.	PUNCT
ejpam-4126	152	1	the	the	DET
ejpam-4126	152	2	other	other	ADJ
ejpam-4126	152	3	cases	case	NOUN
ejpam-4126	152	4	are	be	AUX
ejpam-4126	152	5	identical	identical	ADJ
ejpam-4126	152	6	.	.	PUNCT
ejpam-4126	153	1	to	to	PART
ejpam-4126	153	2	sum	sum	VERB
ejpam-4126	153	3	up	up	ADP
ejpam-4126	153	4	,	,	PUNCT
ejpam-4126	153	5	fu	fu	NOUN
ejpam-4126	153	6	=	=	PUNCT
ejpam-4126	153	7	fu	fu	NOUN
ejpam-4126	153	8	.	.	PUNCT
ejpam-4126	154	1	we	we	PRON
ejpam-4126	154	2	can	can	AUX
ejpam-4126	154	3	check	check	VERB
ejpam-4126	154	4	that	that	PRON
ejpam-4126	154	5	tu	tu	PROPN
ejpam-4126	154	6	=	=	PUNCT
ejpam-4126	154	7	fu	fu	PROPN
ejpam-4126	154	8	and	and	CCONJ
ejpam-4126	154	9	ru	ru	PROPN
ejpam-4126	154	10	=	=	SYM
ejpam-4126	154	11	fu	fu	PROPN
ejpam-4126	154	12	,	,	PUNCT
ejpam-4126	154	13	too	too	ADV
ejpam-4126	154	14	.	.	PUNCT
ejpam-4126	155	1	so	so	ADV
ejpam-4126	155	2	,	,	PUNCT
ejpam-4126	155	3	fu	fu	NOUN
ejpam-4126	155	4	=	=	PUNCT
ejpam-4126	155	5	fu	fu	NOUN
ejpam-4126	155	6	=	=	SYM
ejpam-4126	155	7	tu	tu	PROPN
ejpam-4126	155	8	=	=	SYM
ejpam-4126	155	9	ru	ru	PROPN
ejpam-4126	155	10	=	=	SYM
ejpam-4126	155	11	v	v	PROPN
ejpam-4126	155	12	,	,	PUNCT
ejpam-4126	155	13	that	that	PRON
ejpam-4126	155	14	is	be	AUX
ejpam-4126	155	15	v	v	NOUN
ejpam-4126	155	16	is	be	AUX
ejpam-4126	155	17	a	a	DET
ejpam-4126	155	18	point	point	NOUN
ejpam-4126	155	19	of	of	ADP
ejpam-4126	155	20	coincidence	coincidence	NOUN
ejpam-4126	155	21	of	of	ADP
ejpam-4126	155	22	f	f	PROPN
ejpam-4126	155	23	,	,	PUNCT
ejpam-4126	155	24	f	f	PROPN
ejpam-4126	155	25	,	,	PUNCT
ejpam-4126	155	26	t	t	PROPN
ejpam-4126	155	27	and	and	CCONJ
ejpam-4126	155	28	r.	r.	PROPN
ejpam-4126	155	29	to	to	PART
ejpam-4126	155	30	show	show	VERB
ejpam-4126	155	31	that	that	SCONJ
ejpam-4126	155	32	f	f	PROPN
ejpam-4126	155	33	,	,	PUNCT
ejpam-4126	155	34	f	f	PROPN
ejpam-4126	155	35	,	,	PUNCT
ejpam-4126	155	36	t	t	PROPN
ejpam-4126	155	37	,	,	PUNCT
ejpam-4126	155	38	and	and	CCONJ
ejpam-4126	155	39	r	r	NOUN
ejpam-4126	155	40	have	have	VERB
ejpam-4126	155	41	a	a	DET
ejpam-4126	155	42	unique	unique	ADJ
ejpam-4126	155	43	point	point	NOUN
ejpam-4126	155	44	of	of	ADP
ejpam-4126	155	45	coincidence	coincidence	NOUN
ejpam-4126	155	46	in	in	ADP
ejpam-4126	155	47	x	x	X
ejpam-4126	155	48	,	,	PUNCT
ejpam-4126	155	49	assume	assume	VERB
ejpam-4126	155	50	that	that	SCONJ
ejpam-4126	155	51	there	there	PRON
ejpam-4126	155	52	exists	exist	VERB
ejpam-4126	155	53	another	another	DET
ejpam-4126	155	54	coincidence	coincidence	NOUN
ejpam-4126	155	55	point	point	NOUN
ejpam-4126	155	56	v⋆	v⋆	NUM
ejpam-4126	155	57	∈	∈	NOUN
ejpam-4126	155	58	x	x	PUNCT
ejpam-4126	155	59	such	such	ADJ
ejpam-4126	155	60	that	that	PRON
ejpam-4126	155	61	fu⋆	fu⋆	PROPN
ejpam-4126	155	62	=	=	SYM
ejpam-4126	155	63	fu⋆	fu⋆	PROPN
ejpam-4126	155	64	=	=	SYM
ejpam-4126	155	65	tu⋆	tu⋆	PROPN
ejpam-4126	155	66	=	=	PUNCT
ejpam-4126	155	67	ru⋆	ru⋆	PROPN
ejpam-4126	155	68	=	=	SYM
ejpam-4126	155	69	v⋆	v⋆	PROPN
ejpam-4126	155	70	,	,	PUNCT
ejpam-4126	155	71	for	for	ADP
ejpam-4126	155	72	some	some	DET
ejpam-4126	155	73	u⋆	u⋆	ADJ
ejpam-4126	155	74	∈	∈	PROPN
ejpam-4126	155	75	x.	x.	NOUN
ejpam-4126	155	76	by	by	ADP
ejpam-4126	155	77	the	the	DET
ejpam-4126	155	78	contractive	contractive	ADJ
ejpam-4126	155	79	condition	condition	NOUN
ejpam-4126	155	80	,	,	PUNCT
ejpam-4126	155	81	there	there	PRON
ejpam-4126	155	82	exists	exist	VERB
ejpam-4126	155	83	m(u⋆u	m(u⋆u	NOUN
ejpam-4126	155	84	,	,	PUNCT
ejpam-4126	155	85	u	u	NOUN
ejpam-4126	155	86	)	)	PUNCT
ejpam-4126	155	87	∈	∈	PROPN
ejpam-4126	155	88	{	{	PUNCT
ejpam-4126	155	89	g(fu⋆	g(fu⋆	PROPN
ejpam-4126	155	90	,	,	PUNCT
ejpam-4126	155	91	fu	fu	ADJ
ejpam-4126	155	92	,	,	PUNCT
ejpam-4126	155	93	fu	fu	NOUN
ejpam-4126	155	94	)	)	PUNCT
ejpam-4126	155	95	,	,	PUNCT
ejpam-4126	155	96	g(fu⋆	g(fu⋆	VERB
ejpam-4126	155	97	,	,	PUNCT
ejpam-4126	155	98	fu	fu	ADJ
ejpam-4126	155	99	,	,	PUNCT
ejpam-4126	155	100	fu	fu	NOUN
ejpam-4126	155	101	)	)	PUNCT
ejpam-4126	155	102	,	,	PUNCT
ejpam-4126	155	103	g(fu⋆	g(fu⋆	PROPN
ejpam-4126	155	104	,	,	PUNCT
ejpam-4126	155	105	tu	tu	PROPN
ejpam-4126	155	106	,	,	PUNCT
ejpam-4126	155	107	fu	fu	PROPN
ejpam-4126	155	108	)	)	PUNCT
ejpam-4126	155	109	,	,	PUNCT
ejpam-4126	155	110	g(fu⋆	g(fu⋆	PROPN
ejpam-4126	155	111	,	,	PUNCT
ejpam-4126	155	112	fu	fu	PROPN
ejpam-4126	155	113	,	,	PUNCT
ejpam-4126	155	114	ru	ru	PROPN
ejpam-4126	155	115	)	)	PUNCT
ejpam-4126	155	116	,	,	PUNCT
ejpam-4126	155	117	g(fu⋆	g(fu⋆	PROPN
ejpam-4126	155	118	,	,	PUNCT
ejpam-4126	155	119	tu	tu	PROPN
ejpam-4126	155	120	,	,	PUNCT
ejpam-4126	155	121	ru	ru	PROPN
ejpam-4126	155	122	)	)	PUNCT
ejpam-4126	155	123	,	,	PUNCT
ejpam-4126	155	124	g(fu⋆	g(fu⋆	PROPN
ejpam-4126	155	125	,	,	PUNCT
ejpam-4126	155	126	fu	fu	PROPN
ejpam-4126	155	127	,	,	PUNCT
ejpam-4126	155	128	ru	ru	PROPN
ejpam-4126	155	129	)	)	PUNCT
ejpam-4126	155	130	,	,	PUNCT
ejpam-4126	155	131	g(fu⋆	g(fu⋆	PROPN
ejpam-4126	155	132	,	,	PUNCT
ejpam-4126	155	133	tu	tu	PROPN
ejpam-4126	155	134	,	,	PUNCT
ejpam-4126	155	135	fu	fu	PROPN
ejpam-4126	155	136	)	)	PUNCT
ejpam-4126	155	137	,	,	PUNCT
ejpam-4126	155	138	g(fu⋆	g(fu⋆	PROPN
ejpam-4126	155	139	,	,	PUNCT
ejpam-4126	155	140	fu⋆	fu⋆	PROPN
ejpam-4126	155	141	,	,	PUNCT
ejpam-4126	155	142	fu⋆	fu⋆	PROPN
ejpam-4126	155	143	)	)	PUNCT
ejpam-4126	155	144	,	,	PUNCT
ejpam-4126	155	145	g(tu	g(tu	PROPN
ejpam-4126	155	146	,	,	PUNCT
ejpam-4126	155	147	tu	tu	PROPN
ejpam-4126	155	148	,	,	PUNCT
ejpam-4126	155	149	fu	fu	PROPN
ejpam-4126	155	150	)	)	PUNCT
ejpam-4126	155	151	,	,	PUNCT
ejpam-4126	155	152	g(ru	g(ru	PROPN
ejpam-4126	155	153	,	,	PUNCT
ejpam-4126	155	154	ru	ru	NOUN
ejpam-4126	155	155	,	,	PUNCT
ejpam-4126	155	156	fu	fu	NOUN
ejpam-4126	155	157	)	)	PUNCT
ejpam-4126	155	158	}	}	PUNCT
ejpam-4126	156	1	=	=	SYM
ejpam-4126	156	2	{	{	PUNCT
ejpam-4126	156	3	g(v⋆	g(v⋆	NOUN
ejpam-4126	156	4	,	,	PUNCT
ejpam-4126	156	5	v	v	NOUN
ejpam-4126	156	6	,	,	PUNCT
ejpam-4126	156	7	v	v	NOUN
ejpam-4126	156	8	)	)	PUNCT
ejpam-4126	156	9	}	}	PUNCT
ejpam-4126	156	10	such	such	ADJ
ejpam-4126	156	11	that	that	SCONJ
ejpam-4126	156	12	g(v⋆	g(v⋆	NOUN
ejpam-4126	156	13	,	,	PUNCT
ejpam-4126	156	14	v	v	NOUN
ejpam-4126	156	15	,	,	PUNCT
ejpam-4126	156	16	v	v	NOUN
ejpam-4126	156	17	)	)	PUNCT
ejpam-4126	156	18	=	=	VERB
ejpam-4126	156	19	g(fu⋆	g(fu⋆	PROPN
ejpam-4126	156	20	,	,	PUNCT
ejpam-4126	156	21	tu	tu	PROPN
ejpam-4126	156	22	,	,	PUNCT
ejpam-4126	156	23	ru	ru	PROPN
ejpam-4126	156	24	)	)	PUNCT
ejpam-4126	156	25	⪯	⪯	NOUN
ejpam-4126	156	26	λ	λ	PROPN
ejpam-4126	156	27	s2	s2	PROPN
ejpam-4126	156	28	m(u⋆u	m(u⋆u	PROPN
ejpam-4126	156	29	,	,	PUNCT
ejpam-4126	156	30	u	u	NOUN
ejpam-4126	156	31	)	)	PUNCT
ejpam-4126	156	32	.	.	PUNCT
ejpam-4126	157	1	therefore	therefore	ADV
ejpam-4126	157	2	,	,	PUNCT
ejpam-4126	157	3	g(v⋆	g(v⋆	NOUN
ejpam-4126	157	4	,	,	PUNCT
ejpam-4126	157	5	v	v	NOUN
ejpam-4126	157	6	,	,	PUNCT
ejpam-4126	157	7	v	v	NOUN
ejpam-4126	157	8	)	)	PUNCT
ejpam-4126	157	9	⪯	⪯	NOUN
ejpam-4126	157	10	λ	λ	PROPN
ejpam-4126	157	11	s2	s2	NOUN
ejpam-4126	157	12	g(v⋆	g(v⋆	NOUN
ejpam-4126	157	13	,	,	PUNCT
ejpam-4126	157	14	v	v	NOUN
ejpam-4126	157	15	,	,	PUNCT
ejpam-4126	157	16	v	v	NOUN
ejpam-4126	157	17	)	)	PUNCT
ejpam-4126	157	18	.	.	PUNCT
ejpam-4126	158	1	by	by	ADP
ejpam-4126	158	2	lemma	lemma	PROPN
ejpam-4126	158	3	1	1	NUM
ejpam-4126	158	4	(	(	PUNCT
ejpam-4126	158	5	pt6	pt6	PROPN
ejpam-4126	158	6	)	)	PUNCT
ejpam-4126	158	7	,	,	PUNCT
ejpam-4126	158	8	g(v⋆	g(v⋆	NOUN
ejpam-4126	158	9	,	,	PUNCT
ejpam-4126	158	10	v	v	NOUN
ejpam-4126	158	11	,	,	PUNCT
ejpam-4126	158	12	v	v	NOUN
ejpam-4126	158	13	)	)	PUNCT
ejpam-4126	158	14	=	=	SYM
ejpam-4126	158	15	θ	θ	NOUN
ejpam-4126	158	16	,	,	PUNCT
ejpam-4126	158	17	that	that	PRON
ejpam-4126	158	18	is	be	AUX
ejpam-4126	158	19	v⋆	v⋆	NOUN
ejpam-4126	158	20	=	=	NOUN
ejpam-4126	158	21	v.	v.	CCONJ
ejpam-4126	158	22	finally	finally	ADV
ejpam-4126	158	23	,	,	PUNCT
ejpam-4126	158	24	since	since	SCONJ
ejpam-4126	158	25	the	the	DET
ejpam-4126	158	26	pairs	pair	NOUN
ejpam-4126	158	27	(	(	PUNCT
ejpam-4126	158	28	f	f	X
ejpam-4126	158	29	,	,	PUNCT
ejpam-4126	158	30	f	f	PROPN
ejpam-4126	158	31	)	)	PUNCT
ejpam-4126	158	32	,	,	PUNCT
ejpam-4126	158	33	(	(	PUNCT
ejpam-4126	158	34	f	f	X
ejpam-4126	158	35	,	,	PUNCT
ejpam-4126	158	36	t	t	PROPN
ejpam-4126	158	37	)	)	PUNCT
ejpam-4126	158	38	and	and	CCONJ
ejpam-4126	158	39	(	(	PUNCT
ejpam-4126	158	40	f	f	X
ejpam-4126	158	41	,	,	PUNCT
ejpam-4126	158	42	r	r	NOUN
ejpam-4126	158	43	)	)	PUNCT
ejpam-4126	158	44	are	be	AUX
ejpam-4126	158	45	weakly	weakly	ADV
ejpam-4126	158	46	compatible	compatible	ADJ
ejpam-4126	158	47	,	,	PUNCT
ejpam-4126	158	48	we	we	PRON
ejpam-4126	158	49	have	have	AUX
ejpam-4126	158	50	ffu	ffu	VERB
ejpam-4126	158	51	=	=	SYM
ejpam-4126	158	52	ffu	ffu	VERB
ejpam-4126	158	53	,	,	PUNCT
ejpam-4126	158	54	tfu	tfu	NOUN
ejpam-4126	158	55	=	=	SYM
ejpam-4126	158	56	ftu	ftu	PROPN
ejpam-4126	158	57	,	,	PUNCT
ejpam-4126	158	58	rfu	rfu	NOUN
ejpam-4126	158	59	=	=	SYM
ejpam-4126	158	60	fru	fru	NOUN
ejpam-4126	158	61	.	.	PUNCT
ejpam-4126	159	1	this	this	PRON
ejpam-4126	159	2	implies	imply	VERB
ejpam-4126	159	3	that	that	SCONJ
ejpam-4126	159	4	fv	fv	VERB
ejpam-4126	159	5	=	=	SYM
ejpam-4126	159	6	tv	tv	PROPN
ejpam-4126	159	7	=	=	PUNCT
ejpam-4126	159	8	rv	rv	PROPN
ejpam-4126	159	9	=	=	SYM
ejpam-4126	159	10	fv	fv	PROPN
ejpam-4126	159	11	=	=	SYM
ejpam-4126	159	12	t	t	PROPN
ejpam-4126	159	13	,	,	PUNCT
ejpam-4126	159	14	i.e.	i.e.	X
ejpam-4126	159	15	,	,	PUNCT
ejpam-4126	159	16	t	t	PROPN
ejpam-4126	159	17	is	be	AUX
ejpam-4126	159	18	a	a	DET
ejpam-4126	159	19	point	point	NOUN
ejpam-4126	159	20	of	of	ADP
ejpam-4126	159	21	coincidence	coincidence	NOUN
ejpam-4126	159	22	of	of	ADP
ejpam-4126	159	23	f	f	PROPN
ejpam-4126	159	24	,	,	PUNCT
ejpam-4126	159	25	f	f	PROPN
ejpam-4126	159	26	,	,	PUNCT
ejpam-4126	159	27	t	t	PROPN
ejpam-4126	159	28	and	and	CCONJ
ejpam-4126	159	29	r.so	r.so	PROPN
ejpam-4126	159	30	t	t	PROPN
ejpam-4126	159	31	=	=	SYM
ejpam-4126	159	32	v	v	NOUN
ejpam-4126	159	33	by	by	ADP
ejpam-4126	159	34	uniqueness	uniqueness	NOUN
ejpam-4126	159	35	.	.	PUNCT
ejpam-4126	160	1	finally	finally	ADV
ejpam-4126	160	2	proposition	proposition	VERB
ejpam-4126	160	3	4	4	NUM
ejpam-4126	160	4	tells	tell	VERB
ejpam-4126	160	5	us	we	PRON
ejpam-4126	160	6	that	that	PRON
ejpam-4126	160	7	v	v	NOUN
ejpam-4126	160	8	is	be	AUX
ejpam-4126	160	9	the	the	DET
ejpam-4126	160	10	unique	unique	ADJ
ejpam-4126	160	11	common	common	ADJ
ejpam-4126	160	12	fixed	fix	VERB
ejpam-4126	160	13	point	point	NOUN
ejpam-4126	160	14	of	of	ADP
ejpam-4126	160	15	f	f	PROPN
ejpam-4126	160	16	,	,	PUNCT
ejpam-4126	160	17	f	f	PROPN
ejpam-4126	160	18	,	,	PUNCT
ejpam-4126	160	19	t	t	PROPN
ejpam-4126	160	20	,	,	PUNCT
ejpam-4126	160	21	and	and	CCONJ
ejpam-4126	160	22	r.	r.	PROPN
ejpam-4126	160	23	theorem	theorem	NOUN
ejpam-4126	160	24	1	1	NUM
ejpam-4126	160	25	is	be	AUX
ejpam-4126	160	26	illustrated	illustrate	VERB
ejpam-4126	160	27	by	by	ADP
ejpam-4126	160	28	the	the	DET
ejpam-4126	160	29	following	follow	VERB
ejpam-4126	160	30	example	example	NOUN
ejpam-4126	160	31	inspired	inspire	VERB
ejpam-4126	160	32	from	from	ADP
ejpam-4126	160	33	[	[	X
ejpam-4126	160	34	1	1	NUM
ejpam-4126	160	35	,	,	PUNCT
ejpam-4126	160	36	example	example	NOUN
ejpam-4126	160	37	2.12	2.12	NUM
ejpam-4126	160	38	]	]	PUNCT
ejpam-4126	160	39	.	.	PUNCT
ejpam-4126	161	1	example	example	NOUN
ejpam-4126	162	1	1	1	NUM
ejpam-4126	162	2	.	.	PUNCT
ejpam-4126	162	3	let	let	VERB
ejpam-4126	162	4	x	x	PUNCT
ejpam-4126	162	5	=	=	PUNCT
ejpam-4126	163	1	[	[	X
ejpam-4126	163	2	0	0	NUM
ejpam-4126	163	3	,	,	PUNCT
ejpam-4126	163	4	1	1	NUM
ejpam-4126	163	5	]	]	PUNCT
ejpam-4126	163	6	,	,	PUNCT
ejpam-4126	163	7	e	e	X
ejpam-4126	163	8	=	=	SYM
ejpam-4126	163	9	c[0	c[0	PROPN
ejpam-4126	163	10	,	,	PUNCT
ejpam-4126	163	11	1	1	NUM
ejpam-4126	163	12	]	]	PUNCT
ejpam-4126	163	13	be	be	AUX
ejpam-4126	163	14	endowed	endow	VERB
ejpam-4126	163	15	with	with	ADP
ejpam-4126	163	16	the	the	DET
ejpam-4126	163	17	strongly	strongly	ADV
ejpam-4126	163	18	locally	locally	ADV
ejpam-4126	163	19	convex	convex	ADJ
ejpam-4126	163	20	topology	topology	NOUN
ejpam-4126	163	21	τ(e	τ(e	PROPN
ejpam-4126	163	22	,	,	PUNCT
ejpam-4126	163	23	e∗	e∗	PROPN
ejpam-4126	163	24	)	)	PUNCT
ejpam-4126	163	25	and	and	CCONJ
ejpam-4126	163	26	let	let	VERB
ejpam-4126	163	27	p	p	NOUN
ejpam-4126	163	28	=	=	PRON
ejpam-4126	163	29	{	{	PUNCT
ejpam-4126	163	30	x	x	SYM
ejpam-4126	163	31	∈	∈	PROPN
ejpam-4126	163	32	e	e	NOUN
ejpam-4126	163	33	:	:	PUNCT
ejpam-4126	163	34	x(t	x(t	PROPN
ejpam-4126	163	35	)	)	PUNCT
ejpam-4126	163	36	≥	≥	NOUN
ejpam-4126	163	37	0	0	NUM
ejpam-4126	163	38	,	,	PUNCT
ejpam-4126	163	39	t	t	PROPN
ejpam-4126	163	40	∈	∈	PROPN
ejpam-4126	164	1	[	[	X
ejpam-4126	164	2	0	0	NUM
ejpam-4126	164	3	,	,	PUNCT
ejpam-4126	164	4	1	1	NUM
ejpam-4126	164	5	]	]	PUNCT
ejpam-4126	164	6	}	}	PUNCT
ejpam-4126	164	7	.	.	PUNCT
ejpam-4126	165	1	then	then	ADV
ejpam-4126	165	2	the	the	DET
ejpam-4126	165	3	cone	cone	NOUN
ejpam-4126	165	4	is	be	AUX
ejpam-4126	165	5	τ(e	τ(e	PROPN
ejpam-4126	165	6	,	,	PUNCT
ejpam-4126	165	7	e∗)solid	e∗)solid	PROPN
ejpam-4126	165	8	but	but	CCONJ
ejpam-4126	165	9	not	not	PART
ejpam-4126	165	10	normal	normal	ADJ
ejpam-4126	165	11	with	with	ADP
ejpam-4126	165	12	respect	respect	NOUN
ejpam-4126	165	13	to	to	ADP
ejpam-4126	165	14	the	the	DET
ejpam-4126	165	15	topology	topology	NOUN
ejpam-4126	165	16	τ(e	τ(e	PROPN
ejpam-4126	165	17	,	,	PUNCT
ejpam-4126	165	18	e∗	e∗	PROPN
ejpam-4126	165	19	)	)	PUNCT
ejpam-4126	165	20	.	.	PUNCT
ejpam-4126	166	1	define	define	VERB
ejpam-4126	166	2	the	the	DET
ejpam-4126	166	3	mapping	mapping	NOUN
ejpam-4126	166	4	g	g	NOUN
ejpam-4126	166	5	:	:	PUNCT
ejpam-4126	166	6	x	x	SYM
ejpam-4126	166	7	×	×	NOUN
ejpam-4126	166	8	x	x	X
ejpam-4126	166	9	×x	×x	X
ejpam-4126	166	10	→	→	SYM
ejpam-4126	166	11	e	e	NOUN
ejpam-4126	166	12	by	by	ADP
ejpam-4126	166	13	g(x	g(x	PROPN
ejpam-4126	166	14	,	,	PUNCT
ejpam-4126	166	15	y	y	NOUN
ejpam-4126	166	16	,	,	PUNCT
ejpam-4126	166	17	z)(t	z)(t	NUM
ejpam-4126	166	18	)	)	PUNCT
ejpam-4126	166	19	=	=	SYM
ejpam-4126	166	20	max{|x−	max{|x−	PROPN
ejpam-4126	166	21	y|2	y|2	PROPN
ejpam-4126	166	22	,	,	PUNCT
ejpam-4126	166	23	|y	|y	NOUN
ejpam-4126	166	24	−	−	PROPN
ejpam-4126	166	25	z|2	z|2	PROPN
ejpam-4126	166	26	,	,	PUNCT
ejpam-4126	166	27	|x−	|x−	PROPN
ejpam-4126	166	28	z|2}et	z|2}et	PROPN
ejpam-4126	166	29	.	.	PUNCT
ejpam-4126	167	1	s.	s.	PROPN
ejpam-4126	167	2	benchabane	benchabane	PROPN
ejpam-4126	167	3	,	,	PUNCT
ejpam-4126	167	4	s.	s.	PROPN
ejpam-4126	167	5	djebali	djebali	PROPN
ejpam-4126	167	6	/	/	SYM
ejpam-4126	167	7	eur	eur	PROPN
ejpam-4126	167	8	.	.	PUNCT
ejpam-4126	168	1	j.	j.	PROPN
ejpam-4126	168	2	pure	pure	PROPN
ejpam-4126	168	3	appl	appl	PROPN
ejpam-4126	168	4	.	.	PROPN
ejpam-4126	168	5	math	math	PROPN
ejpam-4126	168	6	,	,	PUNCT
ejpam-4126	168	7	14	14	NUM
ejpam-4126	168	8	(	(	PUNCT
ejpam-4126	168	9	4	4	NUM
ejpam-4126	168	10	)	)	PUNCT
ejpam-4126	168	11	(	(	PUNCT
ejpam-4126	168	12	2021	2021	NUM
ejpam-4126	168	13	)	)	PUNCT
ejpam-4126	168	14	,	,	PUNCT
ejpam-4126	168	15	1350	1350	NUM
ejpam-4126	168	16	-	-	SYM
ejpam-4126	168	17	1366	1366	NUM
ejpam-4126	168	18	1358	1358	NUM
ejpam-4126	168	19	then	then	ADV
ejpam-4126	168	20	g	g	PROPN
ejpam-4126	168	21	is	be	AUX
ejpam-4126	168	22	a	a	DET
ejpam-4126	168	23	gb	gb	NOUN
ejpam-4126	168	24	-	-	PUNCT
ejpam-4126	168	25	cone	cone	NOUN
ejpam-4126	168	26	metric	metric	NOUN
ejpam-4126	168	27	on	on	ADP
ejpam-4126	168	28	x	x	PUNCT
ejpam-4126	168	29	with	with	ADP
ejpam-4126	168	30	the	the	DET
ejpam-4126	168	31	coefficient	coefficient	NOUN
ejpam-4126	168	32	s	s	PART
ejpam-4126	168	33	=	=	NOUN
ejpam-4126	168	34	2	2	X
ejpam-4126	168	35	.	.	PUNCT
ejpam-4126	169	1	on	on	ADP
ejpam-4126	169	2	x	x	NOUN
ejpam-4126	169	3	,	,	PUNCT
ejpam-4126	169	4	define	define	VERB
ejpam-4126	169	5	the	the	DET
ejpam-4126	169	6	self	self	NOUN
ejpam-4126	169	7	-	-	PUNCT
ejpam-4126	169	8	maps	map	NOUN
ejpam-4126	169	9	f	f	NOUN
ejpam-4126	169	10	,	,	PUNCT
ejpam-4126	169	11	f	f	PROPN
ejpam-4126	169	12	,	,	PUNCT
ejpam-4126	169	13	t	t	PROPN
ejpam-4126	169	14	,	,	PUNCT
ejpam-4126	169	15	and	and	CCONJ
ejpam-4126	169	16	r	r	NOUN
ejpam-4126	169	17	by	by	ADP
ejpam-4126	169	18	f	f	PROPN
ejpam-4126	169	19	(	(	PUNCT
ejpam-4126	169	20	x	x	X
ejpam-4126	169	21	)	)	PUNCT
ejpam-4126	170	1	=	=	SYM
ejpam-4126	170	2	{	{	PUNCT
ejpam-4126	170	3	1	1	NUM
ejpam-4126	170	4	4	4	NUM
ejpam-4126	170	5	,	,	PUNCT
ejpam-4126	170	6	x	x	SYM
ejpam-4126	170	7	∈	∈	PROPN
ejpam-4126	171	1	[	[	X
ejpam-4126	171	2	0	0	NUM
ejpam-4126	171	3	,	,	PUNCT
ejpam-4126	171	4	23	23	NUM
ejpam-4126	171	5	)	)	PUNCT
ejpam-4126	171	6	,	,	PUNCT
ejpam-4126	171	7	1	1	NUM
ejpam-4126	171	8	7	7	NUM
ejpam-4126	171	9	,	,	PUNCT
ejpam-4126	171	10	x	x	PUNCT
ejpam-4126	171	11	∈	∈	PROPN
ejpam-4126	171	12	[	[	X
ejpam-4126	171	13	23	23	NUM
ejpam-4126	171	14	,	,	PUNCT
ejpam-4126	171	15	1	1	NUM
ejpam-4126	171	16	]	]	PUNCT
ejpam-4126	171	17	,	,	PUNCT
ejpam-4126	171	18	t	t	PROPN
ejpam-4126	171	19	(	(	PUNCT
ejpam-4126	171	20	x	x	X
ejpam-4126	171	21	)	)	PUNCT
ejpam-4126	171	22	=	=	SYM
ejpam-4126	171	23	{	{	PUNCT
ejpam-4126	171	24	1	1	NUM
ejpam-4126	171	25	4	4	NUM
ejpam-4126	171	26	,	,	PUNCT
ejpam-4126	171	27	x	x	SYM
ejpam-4126	171	28	∈	∈	PROPN
ejpam-4126	172	1	[	[	X
ejpam-4126	172	2	0	0	NUM
ejpam-4126	172	3	,	,	PUNCT
ejpam-4126	172	4	23	23	NUM
ejpam-4126	172	5	)	)	PUNCT
ejpam-4126	172	6	,	,	PUNCT
ejpam-4126	172	7	1	1	NUM
ejpam-4126	172	8	5	5	NUM
ejpam-4126	172	9	,	,	PUNCT
ejpam-4126	172	10	x	x	PUNCT
ejpam-4126	172	11	∈	∈	PROPN
ejpam-4126	173	1	[	[	X
ejpam-4126	173	2	23	23	NUM
ejpam-4126	173	3	,	,	PUNCT
ejpam-4126	173	4	1	1	NUM
ejpam-4126	173	5	]	]	PUNCT
ejpam-4126	173	6	,	,	PUNCT
ejpam-4126	173	7	r(x	r(x	PROPN
ejpam-4126	173	8	)	)	PUNCT
ejpam-4126	173	9	=	=	PRON
ejpam-4126	173	10	{	{	PUNCT
ejpam-4126	173	11	1	1	NUM
ejpam-4126	173	12	4	4	NUM
ejpam-4126	173	13	,	,	PUNCT
ejpam-4126	173	14	x	x	SYM
ejpam-4126	173	15	∈	∈	PROPN
ejpam-4126	174	1	[	[	X
ejpam-4126	174	2	0	0	NUM
ejpam-4126	174	3	,	,	PUNCT
ejpam-4126	174	4	23	23	NUM
ejpam-4126	174	5	)	)	PUNCT
ejpam-4126	174	6	,	,	PUNCT
ejpam-4126	174	7	1	1	NUM
ejpam-4126	174	8	6	6	NUM
ejpam-4126	174	9	,	,	PUNCT
ejpam-4126	174	10	x	x	SYM
ejpam-4126	174	11	∈	∈	PROPN
ejpam-4126	175	1	[	[	X
ejpam-4126	175	2	23	23	NUM
ejpam-4126	175	3	,	,	PUNCT
ejpam-4126	175	4	1	1	NUM
ejpam-4126	175	5	]	]	PUNCT
ejpam-4126	175	6	,	,	PUNCT
ejpam-4126	175	7	f(x	f(x	PROPN
ejpam-4126	175	8	)	)	PUNCT
ejpam-4126	175	9	=	=	PRON
ejpam-4126	175	10	{	{	PUNCT
ejpam-4126	175	11	x	x	NOUN
ejpam-4126	175	12	,	,	PUNCT
ejpam-4126	175	13	x	x	SYM
ejpam-4126	175	14	∈	∈	PROPN
ejpam-4126	176	1	[	[	X
ejpam-4126	176	2	0	0	NUM
ejpam-4126	176	3	,	,	PUNCT
ejpam-4126	176	4	23	23	NUM
ejpam-4126	176	5	)	)	PUNCT
ejpam-4126	176	6	,	,	PUNCT
ejpam-4126	176	7	2	2	NUM
ejpam-4126	176	8	3	3	NUM
ejpam-4126	176	9	,	,	PUNCT
ejpam-4126	176	10	x	x	PUNCT
ejpam-4126	176	11	∈	∈	PROPN
ejpam-4126	176	12	[	[	X
ejpam-4126	176	13	23	23	NUM
ejpam-4126	176	14	,	,	PUNCT
ejpam-4126	176	15	1	1	NUM
ejpam-4126	176	16	]	]	PUNCT
ejpam-4126	176	17	.	.	PUNCT
ejpam-4126	177	1	note	note	VERB
ejpam-4126	177	2	that	that	SCONJ
ejpam-4126	177	3	for	for	ADP
ejpam-4126	177	4	all	all	DET
ejpam-4126	177	5	x	x	NOUN
ejpam-4126	177	6	,	,	PUNCT
ejpam-4126	177	7	y	y	PROPN
ejpam-4126	177	8	,	,	PUNCT
ejpam-4126	177	9	z	z	PROPN
ejpam-4126	177	10	∈	∈	PROPN
ejpam-4126	177	11	x	x	X
ejpam-4126	177	12	,	,	PUNCT
ejpam-4126	177	13	there	there	PRON
ejpam-4126	177	14	exists	exist	VERB
ejpam-4126	177	15	m(x	m(x	PROPN
ejpam-4126	177	16	,	,	PUNCT
ejpam-4126	177	17	y	y	PROPN
ejpam-4126	177	18	,	,	PUNCT
ejpam-4126	177	19	z	z	NOUN
ejpam-4126	177	20	)	)	PUNCT
ejpam-4126	177	21	∈	∈	PROPN
ejpam-4126	177	22	{	{	PUNCT
ejpam-4126	177	23	g(fx	g(fx	NOUN
ejpam-4126	177	24	,	,	PUNCT
ejpam-4126	177	25	fy	fy	PROPN
ejpam-4126	177	26	,	,	PUNCT
ejpam-4126	177	27	fz	fz	PROPN
ejpam-4126	177	28	)	)	PUNCT
ejpam-4126	177	29	,	,	PUNCT
ejpam-4126	177	30	g(fx	g(fx	NOUN
ejpam-4126	177	31	,	,	PUNCT
ejpam-4126	177	32	fy	fy	PROPN
ejpam-4126	177	33	,	,	PUNCT
ejpam-4126	177	34	fz	fz	PROPN
ejpam-4126	177	35	)	)	PUNCT
ejpam-4126	177	36	,	,	PUNCT
ejpam-4126	177	37	g(fx	g(fx	NOUN
ejpam-4126	177	38	,	,	PUNCT
ejpam-4126	177	39	ty	ty	PRON
ejpam-4126	177	40	,	,	PUNCT
ejpam-4126	177	41	fz	fz	NOUN
ejpam-4126	177	42	)	)	PUNCT
ejpam-4126	177	43	,	,	PUNCT
ejpam-4126	177	44	g(fx	g(fx	NOUN
ejpam-4126	177	45	,	,	PUNCT
ejpam-4126	177	46	fy	fy	PROPN
ejpam-4126	177	47	,	,	PUNCT
ejpam-4126	177	48	rz	rz	NOUN
ejpam-4126	177	49	)	)	PUNCT
ejpam-4126	177	50	,	,	PUNCT
ejpam-4126	177	51	g(fx	g(fx	NOUN
ejpam-4126	177	52	,	,	PUNCT
ejpam-4126	177	53	ty	ty	INTJ
ejpam-4126	177	54	,	,	PUNCT
ejpam-4126	177	55	rz	rz	NOUN
ejpam-4126	177	56	)	)	PUNCT
ejpam-4126	177	57	,	,	PUNCT
ejpam-4126	177	58	g(fx	g(fx	NOUN
ejpam-4126	177	59	,	,	PUNCT
ejpam-4126	177	60	fy	fy	PROPN
ejpam-4126	177	61	,	,	PUNCT
ejpam-4126	177	62	rz	rz	NOUN
ejpam-4126	177	63	)	)	PUNCT
ejpam-4126	177	64	,	,	PUNCT
ejpam-4126	177	65	g(fx	g(fx	NOUN
ejpam-4126	177	66	,	,	PUNCT
ejpam-4126	177	67	ty	ty	PRON
ejpam-4126	177	68	,	,	PUNCT
ejpam-4126	177	69	fz	fz	NOUN
ejpam-4126	177	70	)	)	PUNCT
ejpam-4126	177	71	,	,	PUNCT
ejpam-4126	177	72	g(fx	g(fx	NOUN
ejpam-4126	177	73	,	,	PUNCT
ejpam-4126	177	74	fx	fx	PROPN
ejpam-4126	177	75	,	,	PUNCT
ejpam-4126	177	76	fx	fx	PROPN
ejpam-4126	177	77	)	)	PUNCT
ejpam-4126	177	78	,	,	PUNCT
ejpam-4126	177	79	g(ty	g(ty	PROPN
ejpam-4126	177	80	,	,	PUNCT
ejpam-4126	177	81	ty	ty	INTJ
ejpam-4126	177	82	,	,	PUNCT
ejpam-4126	177	83	fy	fy	PROPN
ejpam-4126	177	84	)	)	PUNCT
ejpam-4126	177	85	,	,	PUNCT
ejpam-4126	177	86	g(rz	g(rz	PROPN
ejpam-4126	177	87	,	,	PUNCT
ejpam-4126	177	88	rz	rz	NOUN
ejpam-4126	177	89	,	,	PUNCT
ejpam-4126	177	90	fz	fz	NOUN
ejpam-4126	177	91	)	)	PUNCT
ejpam-4126	177	92	}	}	PUNCT
ejpam-4126	177	93	such	such	ADJ
ejpam-4126	177	94	that	that	SCONJ
ejpam-4126	177	95	4g(fx	4g(fx	NUM
ejpam-4126	177	96	,	,	PUNCT
ejpam-4126	177	97	ty	ty	PRON
ejpam-4126	177	98	,	,	PUNCT
ejpam-4126	177	99	rz)et	rz)et	NOUN
ejpam-4126	177	100	≤	≤	NOUN
ejpam-4126	177	101	2	2	NUM
ejpam-4126	177	102	5	5	NUM
ejpam-4126	177	103	m(x	m(x	PROPN
ejpam-4126	177	104	,	,	PUNCT
ejpam-4126	177	105	y	y	PROPN
ejpam-4126	177	106	,	,	PUNCT
ejpam-4126	177	107	z)et	z)et	PROPN
ejpam-4126	177	108	.	.	PUNCT
ejpam-4126	178	1	moreover	moreover	ADV
ejpam-4126	178	2	f(x	f(x	PROPN
ejpam-4126	178	3	)	)	PUNCT
ejpam-4126	178	4	=	=	PUNCT
ejpam-4126	179	1	[	[	X
ejpam-4126	179	2	0	0	NUM
ejpam-4126	179	3	,	,	PUNCT
ejpam-4126	179	4	23	23	NUM
ejpam-4126	179	5	]	]	PUNCT
ejpam-4126	179	6	is	be	AUX
ejpam-4126	179	7	a	a	DET
ejpam-4126	179	8	gb	gb	ADV
ejpam-4126	179	9	-	-	PUNCT
ejpam-4126	179	10	complete	complete	ADJ
ejpam-4126	179	11	subspace	subspace	NOUN
ejpam-4126	179	12	of	of	ADP
ejpam-4126	179	13	x	x	PRON
ejpam-4126	179	14	,	,	PUNCT
ejpam-4126	179	15	f	f	PROPN
ejpam-4126	179	16	(	(	PUNCT
ejpam-4126	179	17	x	x	X
ejpam-4126	179	18	)	)	PUNCT
ejpam-4126	179	19	∪	∪	ADP
ejpam-4126	179	20	t	t	PROPN
ejpam-4126	179	21	(	(	PUNCT
ejpam-4126	179	22	x	x	NOUN
ejpam-4126	179	23	)	)	PUNCT
ejpam-4126	179	24	∪	∪	ADP
ejpam-4126	179	25	r(x	r(x	PROPN
ejpam-4126	179	26	)	)	PUNCT
ejpam-4126	179	27	⊂	⊂	PROPN
ejpam-4126	179	28	f(x	f(x	PROPN
ejpam-4126	179	29	)	)	PUNCT
ejpam-4126	179	30	,	,	PUNCT
ejpam-4126	179	31	and	and	CCONJ
ejpam-4126	179	32	the	the	DET
ejpam-4126	179	33	pairs	pair	NOUN
ejpam-4126	179	34	(	(	PUNCT
ejpam-4126	179	35	f	f	X
ejpam-4126	179	36	,	,	PUNCT
ejpam-4126	179	37	f	f	PROPN
ejpam-4126	179	38	)	)	PUNCT
ejpam-4126	179	39	,	,	PUNCT
ejpam-4126	179	40	(	(	PUNCT
ejpam-4126	179	41	f	f	X
ejpam-4126	179	42	,	,	PUNCT
ejpam-4126	179	43	t	t	PROPN
ejpam-4126	179	44	)	)	PUNCT
ejpam-4126	179	45	,	,	PUNCT
ejpam-4126	179	46	and	and	CCONJ
ejpam-4126	179	47	(	(	PUNCT
ejpam-4126	179	48	f	f	X
ejpam-4126	179	49	,	,	PUNCT
ejpam-4126	179	50	r	r	NOUN
ejpam-4126	179	51	)	)	PUNCT
ejpam-4126	179	52	are	be	AUX
ejpam-4126	179	53	weakly	weakly	ADV
ejpam-4126	179	54	compatible	compatible	ADJ
ejpam-4126	179	55	.	.	PUNCT
ejpam-4126	180	1	therefore	therefore	ADV
ejpam-4126	180	2	all	all	DET
ejpam-4126	180	3	the	the	DET
ejpam-4126	180	4	conditions	condition	NOUN
ejpam-4126	180	5	of	of	ADP
ejpam-4126	180	6	theorem	theorem	ADJ
ejpam-4126	180	7	1	1	NUM
ejpam-4126	180	8	are	be	AUX
ejpam-4126	180	9	fulfilled	fulfil	VERB
ejpam-4126	180	10	.	.	PUNCT
ejpam-4126	181	1	finally	finally	ADV
ejpam-4126	181	2	,	,	PUNCT
ejpam-4126	181	3	1	1	NUM
ejpam-4126	181	4	4	4	NUM
ejpam-4126	181	5	is	be	AUX
ejpam-4126	181	6	the	the	DET
ejpam-4126	181	7	unique	unique	ADJ
ejpam-4126	181	8	point	point	NOUN
ejpam-4126	181	9	of	of	ADP
ejpam-4126	181	10	coincidence	coincidence	NOUN
ejpam-4126	181	11	and	and	CCONJ
ejpam-4126	181	12	the	the	DET
ejpam-4126	181	13	unique	unique	ADJ
ejpam-4126	181	14	common	common	ADJ
ejpam-4126	181	15	fixed	fix	VERB
ejpam-4126	181	16	point	point	NOUN
ejpam-4126	181	17	for	for	ADP
ejpam-4126	181	18	all	all	PRON
ejpam-4126	181	19	of	of	ADP
ejpam-4126	181	20	the	the	DET
ejpam-4126	181	21	mappings	mapping	NOUN
ejpam-4126	181	22	f	f	X
ejpam-4126	181	23	,	,	PUNCT
ejpam-4126	181	24	t	t	PROPN
ejpam-4126	181	25	,	,	PUNCT
ejpam-4126	181	26	r	r	NOUN
ejpam-4126	181	27	,	,	PUNCT
ejpam-4126	181	28	and	and	CCONJ
ejpam-4126	181	29	f	f	X
ejpam-4126	181	30	.	.	PUNCT
ejpam-4126	182	1	the	the	DET
ejpam-4126	182	2	following	following	ADJ
ejpam-4126	182	3	result	result	NOUN
ejpam-4126	182	4	is	be	AUX
ejpam-4126	182	5	immediately	immediately	ADV
ejpam-4126	182	6	derived	derive	VERB
ejpam-4126	182	7	from	from	ADP
ejpam-4126	182	8	theorem	theorem	ADJ
ejpam-4126	182	9	1	1	NUM
ejpam-4126	182	10	.	.	PUNCT
ejpam-4126	182	11	corollary	corollary	ADJ
ejpam-4126	182	12	1	1	NUM
ejpam-4126	182	13	.	.	PUNCT
ejpam-4126	183	1	let	let	AUX
ejpam-4126	183	2	(	(	PUNCT
ejpam-4126	183	3	x	x	NOUN
ejpam-4126	183	4	,	,	PUNCT
ejpam-4126	183	5	g	g	NOUN
ejpam-4126	183	6	)	)	PUNCT
ejpam-4126	183	7	be	be	AUX
ejpam-4126	183	8	a	a	DET
ejpam-4126	183	9	cone	cone	NOUN
ejpam-4126	183	10	g	g	NOUN
ejpam-4126	183	11	-	-	PUNCT
ejpam-4126	183	12	metric	metric	ADJ
ejpam-4126	183	13	space	space	NOUN
ejpam-4126	183	14	relative	relative	ADJ
ejpam-4126	183	15	to	to	ADP
ejpam-4126	183	16	a	a	DET
ejpam-4126	183	17	solid	solid	ADJ
ejpam-4126	183	18	cone	cone	NOUN
ejpam-4126	183	19	p	p	NOUN
ejpam-4126	183	20	.	.	PUNCT
ejpam-4126	184	1	suppose	suppose	VERB
ejpam-4126	184	2	that	that	SCONJ
ejpam-4126	184	3	the	the	DET
ejpam-4126	184	4	mappings	mapping	NOUN
ejpam-4126	184	5	f	f	X
ejpam-4126	184	6	,	,	PUNCT
ejpam-4126	184	7	t	t	PROPN
ejpam-4126	184	8	,	,	PUNCT
ejpam-4126	184	9	r	r	NOUN
ejpam-4126	184	10	,	,	PUNCT
ejpam-4126	184	11	f	f	NOUN
ejpam-4126	184	12	:	:	PUNCT
ejpam-4126	184	13	x	x	X
ejpam-4126	184	14	→	→	SYM
ejpam-4126	184	15	x	x	PUNCT
ejpam-4126	184	16	satisfy	satisfy	VERB
ejpam-4126	184	17	for	for	ADP
ejpam-4126	184	18	some	some	DET
ejpam-4126	184	19	constant	constant	ADJ
ejpam-4126	184	20	λ	λ	X
ejpam-4126	184	21	∈	∈	PROPN
ejpam-4126	185	1	[	[	X
ejpam-4126	185	2	0	0	NUM
ejpam-4126	185	3	,	,	PUNCT
ejpam-4126	185	4	12	12	NUM
ejpam-4126	185	5	)	)	PUNCT
ejpam-4126	185	6	and	and	CCONJ
ejpam-4126	185	7	for	for	ADP
ejpam-4126	185	8	all	all	DET
ejpam-4126	185	9	x	x	NOUN
ejpam-4126	185	10	,	,	PUNCT
ejpam-4126	185	11	y	y	PROPN
ejpam-4126	185	12	,	,	PUNCT
ejpam-4126	185	13	z	z	PROPN
ejpam-4126	185	14	∈	∈	PROPN
ejpam-4126	185	15	x	x	X
ejpam-4126	185	16	,	,	PUNCT
ejpam-4126	185	17	there	there	PRON
ejpam-4126	185	18	exists	exist	VERB
ejpam-4126	185	19	m(x	m(x	PROPN
ejpam-4126	185	20	,	,	PUNCT
ejpam-4126	185	21	y	y	PROPN
ejpam-4126	185	22	,	,	PUNCT
ejpam-4126	185	23	z	z	NOUN
ejpam-4126	185	24	)	)	PUNCT
ejpam-4126	185	25	∈	∈	PROPN
ejpam-4126	185	26	{	{	PUNCT
ejpam-4126	185	27	g(fx	g(fx	NOUN
ejpam-4126	185	28	,	,	PUNCT
ejpam-4126	185	29	fy	fy	PROPN
ejpam-4126	185	30	,	,	PUNCT
ejpam-4126	185	31	fz	fz	PROPN
ejpam-4126	185	32	)	)	PUNCT
ejpam-4126	185	33	,	,	PUNCT
ejpam-4126	185	34	g(fx	g(fx	NOUN
ejpam-4126	185	35	,	,	PUNCT
ejpam-4126	185	36	fy	fy	PROPN
ejpam-4126	185	37	,	,	PUNCT
ejpam-4126	185	38	fz	fz	PROPN
ejpam-4126	185	39	)	)	PUNCT
ejpam-4126	185	40	,	,	PUNCT
ejpam-4126	185	41	g(fx	g(fx	NOUN
ejpam-4126	185	42	,	,	PUNCT
ejpam-4126	185	43	ty	ty	PRON
ejpam-4126	185	44	,	,	PUNCT
ejpam-4126	185	45	fz	fz	NOUN
ejpam-4126	185	46	)	)	PUNCT
ejpam-4126	185	47	,	,	PUNCT
ejpam-4126	185	48	g(fx	g(fx	NOUN
ejpam-4126	185	49	,	,	PUNCT
ejpam-4126	185	50	fy	fy	PROPN
ejpam-4126	185	51	,	,	PUNCT
ejpam-4126	185	52	rz	rz	NOUN
ejpam-4126	185	53	)	)	PUNCT
ejpam-4126	185	54	,	,	PUNCT
ejpam-4126	185	55	g(fx	g(fx	NOUN
ejpam-4126	185	56	,	,	PUNCT
ejpam-4126	185	57	ty	ty	INTJ
ejpam-4126	185	58	,	,	PUNCT
ejpam-4126	185	59	rz	rz	NOUN
ejpam-4126	185	60	)	)	PUNCT
ejpam-4126	185	61	,	,	PUNCT
ejpam-4126	185	62	g(fx	g(fx	NOUN
ejpam-4126	185	63	,	,	PUNCT
ejpam-4126	185	64	fy	fy	PROPN
ejpam-4126	185	65	,	,	PUNCT
ejpam-4126	185	66	rz	rz	NOUN
ejpam-4126	185	67	)	)	PUNCT
ejpam-4126	185	68	,	,	PUNCT
ejpam-4126	185	69	g(fx	g(fx	NOUN
ejpam-4126	185	70	,	,	PUNCT
ejpam-4126	185	71	ty	ty	PRON
ejpam-4126	185	72	,	,	PUNCT
ejpam-4126	185	73	fz	fz	NOUN
ejpam-4126	185	74	)	)	PUNCT
ejpam-4126	185	75	,	,	PUNCT
ejpam-4126	185	76	g(fx	g(fx	NOUN
ejpam-4126	185	77	,	,	PUNCT
ejpam-4126	185	78	fx	fx	PROPN
ejpam-4126	185	79	,	,	PUNCT
ejpam-4126	185	80	fx	fx	PROPN
ejpam-4126	185	81	)	)	PUNCT
ejpam-4126	185	82	,	,	PUNCT
ejpam-4126	185	83	g(ty	g(ty	PROPN
ejpam-4126	185	84	,	,	PUNCT
ejpam-4126	185	85	ty	ty	INTJ
ejpam-4126	185	86	,	,	PUNCT
ejpam-4126	185	87	fy	fy	PROPN
ejpam-4126	185	88	)	)	PUNCT
ejpam-4126	185	89	,	,	PUNCT
ejpam-4126	185	90	g(rz	g(rz	PROPN
ejpam-4126	185	91	,	,	PUNCT
ejpam-4126	185	92	rz	rz	NOUN
ejpam-4126	185	93	,	,	PUNCT
ejpam-4126	185	94	fz	fz	NOUN
ejpam-4126	185	95	)	)	PUNCT
ejpam-4126	185	96	}	}	PUNCT
ejpam-4126	186	1	such	such	ADJ
ejpam-4126	186	2	that	that	DET
ejpam-4126	186	3	g(fx	g(fx	NOUN
ejpam-4126	186	4	,	,	PUNCT
ejpam-4126	186	5	ty	ty	INTJ
ejpam-4126	186	6	,	,	PUNCT
ejpam-4126	186	7	rz	rz	NOUN
ejpam-4126	186	8	)	)	PUNCT
ejpam-4126	186	9	⪯	⪯	NOUN
ejpam-4126	186	10	λm(x	λm(x	PUNCT
ejpam-4126	186	11	,	,	PUNCT
ejpam-4126	186	12	y	y	PROPN
ejpam-4126	186	13	,	,	PUNCT
ejpam-4126	186	14	z	z	NOUN
ejpam-4126	186	15	)	)	PUNCT
ejpam-4126	186	16	.	.	PUNCT
ejpam-4126	187	1	if	if	SCONJ
ejpam-4126	187	2	f	f	PROPN
ejpam-4126	187	3	(	(	PUNCT
ejpam-4126	187	4	x	x	X
ejpam-4126	187	5	)	)	PUNCT
ejpam-4126	187	6	∪	∪	ADP
ejpam-4126	187	7	t	t	PROPN
ejpam-4126	187	8	(	(	PUNCT
ejpam-4126	187	9	x	x	NOUN
ejpam-4126	187	10	)	)	PUNCT
ejpam-4126	187	11	∪	∪	ADP
ejpam-4126	187	12	r(x	r(x	PROPN
ejpam-4126	187	13	)	)	PUNCT
ejpam-4126	187	14	⊂	⊂	PROPN
ejpam-4126	187	15	f(x	f(x	PROPN
ejpam-4126	187	16	)	)	PUNCT
ejpam-4126	187	17	and	and	CCONJ
ejpam-4126	187	18	f(x	f(x	PROPN
ejpam-4126	187	19	)	)	PUNCT
ejpam-4126	187	20	is	be	AUX
ejpam-4126	187	21	a	a	DET
ejpam-4126	187	22	g	g	NOUN
ejpam-4126	187	23	-	-	PUNCT
ejpam-4126	187	24	complete	complete	ADJ
ejpam-4126	187	25	subspace	subspace	NOUN
ejpam-4126	187	26	of	of	ADP
ejpam-4126	187	27	x	x	PRON
ejpam-4126	187	28	,	,	PUNCT
ejpam-4126	187	29	then	then	ADV
ejpam-4126	187	30	f	f	X
ejpam-4126	187	31	,	,	PUNCT
ejpam-4126	187	32	t	t	PROPN
ejpam-4126	187	33	,	,	PUNCT
ejpam-4126	187	34	r	r	NOUN
ejpam-4126	187	35	and	and	CCONJ
ejpam-4126	187	36	f	f	PROPN
ejpam-4126	187	37	have	have	VERB
ejpam-4126	187	38	a	a	DET
ejpam-4126	187	39	unique	unique	ADJ
ejpam-4126	187	40	point	point	NOUN
ejpam-4126	187	41	of	of	ADP
ejpam-4126	187	42	coincidence	coincidence	NOUN
ejpam-4126	187	43	in	in	ADP
ejpam-4126	187	44	x.	x.	NOUN
ejpam-4126	187	45	if	if	SCONJ
ejpam-4126	187	46	further	far	ADV
ejpam-4126	187	47	the	the	DET
ejpam-4126	187	48	pairs	pair	NOUN
ejpam-4126	187	49	(	(	PUNCT
ejpam-4126	187	50	f	f	X
ejpam-4126	187	51	,	,	PUNCT
ejpam-4126	187	52	f	f	PROPN
ejpam-4126	187	53	)	)	PUNCT
ejpam-4126	187	54	,	,	PUNCT
ejpam-4126	187	55	(	(	PUNCT
ejpam-4126	187	56	f	f	X
ejpam-4126	187	57	,	,	PUNCT
ejpam-4126	187	58	t	t	PROPN
ejpam-4126	187	59	)	)	PUNCT
ejpam-4126	187	60	,	,	PUNCT
ejpam-4126	187	61	and	and	CCONJ
ejpam-4126	187	62	(	(	PUNCT
ejpam-4126	187	63	f	f	X
ejpam-4126	187	64	,	,	PUNCT
ejpam-4126	187	65	r	r	NOUN
ejpam-4126	187	66	)	)	PUNCT
ejpam-4126	187	67	are	be	AUX
ejpam-4126	187	68	weakly	weakly	ADV
ejpam-4126	187	69	compatible	compatible	ADJ
ejpam-4126	187	70	,	,	PUNCT
ejpam-4126	187	71	then	then	ADV
ejpam-4126	187	72	f	f	X
ejpam-4126	187	73	,	,	PUNCT
ejpam-4126	187	74	t	t	PROPN
ejpam-4126	187	75	,	,	PUNCT
ejpam-4126	187	76	r	r	NOUN
ejpam-4126	187	77	and	and	CCONJ
ejpam-4126	187	78	f	f	PROPN
ejpam-4126	187	79	have	have	VERB
ejpam-4126	187	80	a	a	DET
ejpam-4126	187	81	unique	unique	ADJ
ejpam-4126	187	82	common	common	ADJ
ejpam-4126	187	83	fixed	fix	VERB
ejpam-4126	187	84	point	point	NOUN
ejpam-4126	187	85	.	.	PUNCT
ejpam-4126	188	1	s.	s.	PROPN
ejpam-4126	188	2	benchabane	benchabane	PROPN
ejpam-4126	188	3	,	,	PUNCT
ejpam-4126	188	4	s.	s.	PROPN
ejpam-4126	188	5	djebali	djebali	PROPN
ejpam-4126	188	6	/	/	SYM
ejpam-4126	188	7	eur	eur	PROPN
ejpam-4126	188	8	.	.	PUNCT
ejpam-4126	189	1	j.	j.	PROPN
ejpam-4126	189	2	pure	pure	PROPN
ejpam-4126	189	3	appl	appl	PROPN
ejpam-4126	189	4	.	.	PROPN
ejpam-4126	189	5	math	math	PROPN
ejpam-4126	189	6	,	,	PUNCT
ejpam-4126	189	7	14	14	NUM
ejpam-4126	189	8	(	(	PUNCT
ejpam-4126	189	9	4	4	NUM
ejpam-4126	189	10	)	)	PUNCT
ejpam-4126	189	11	(	(	PUNCT
ejpam-4126	189	12	2021	2021	NUM
ejpam-4126	189	13	)	)	PUNCT
ejpam-4126	189	14	,	,	PUNCT
ejpam-4126	189	15	1350	1350	NUM
ejpam-4126	189	16	-	-	SYM
ejpam-4126	189	17	1366	1366	NUM
ejpam-4126	189	18	1359	1359	NUM
ejpam-4126	189	19	for	for	ADP
ejpam-4126	189	20	x	x	PROPN
ejpam-4126	189	21	,	,	PUNCT
ejpam-4126	189	22	y	y	PROPN
ejpam-4126	189	23	,	,	PUNCT
ejpam-4126	189	24	z	z	PROPN
ejpam-4126	189	25	∈	∈	PROPN
ejpam-4126	190	1	x	x	SYM
ejpam-4126	190	2	,	,	PUNCT
ejpam-4126	190	3	the	the	DET
ejpam-4126	190	4	distance	distance	NOUN
ejpam-4126	190	5	gk(x	gk(x	VERB
ejpam-4126	190	6	,	,	PUNCT
ejpam-4126	190	7	y	y	PROPN
ejpam-4126	190	8	,	,	PUNCT
ejpam-4126	190	9	z	z	NOUN
ejpam-4126	190	10	)	)	PUNCT
ejpam-4126	190	11	between	between	ADP
ejpam-4126	190	12	x	x	PROPN
ejpam-4126	190	13	,	,	PUNCT
ejpam-4126	190	14	y	y	PROPN
ejpam-4126	190	15	and	and	CCONJ
ejpam-4126	190	16	z	z	PROPN
ejpam-4126	190	17	is	be	AUX
ejpam-4126	190	18	defined	define	VERB
ejpam-4126	190	19	by	by	ADP
ejpam-4126	190	20	gk(x	gk(x	NOUN
ejpam-4126	190	21	,	,	PUNCT
ejpam-4126	190	22	y	y	PROPN
ejpam-4126	190	23	,	,	PUNCT
ejpam-4126	190	24	z	z	NOUN
ejpam-4126	190	25	)	)	PUNCT
ejpam-4126	190	26	=	=	SYM
ejpam-4126	190	27	∥g(x	∥g(x	X
ejpam-4126	190	28	,	,	PUNCT
ejpam-4126	190	29	y	y	NOUN
ejpam-4126	190	30	,	,	PUNCT
ejpam-4126	190	31	z)∥.	z)∥.	ADJ
ejpam-4126	190	32	when	when	SCONJ
ejpam-4126	190	33	the	the	DET
ejpam-4126	190	34	assumption	assumption	NOUN
ejpam-4126	190	35	of	of	ADP
ejpam-4126	190	36	normality	normality	NOUN
ejpam-4126	190	37	is	be	AUX
ejpam-4126	190	38	assumed	assume	VERB
ejpam-4126	190	39	,	,	PUNCT
ejpam-4126	190	40	the	the	DET
ejpam-4126	190	41	existence	existence	NOUN
ejpam-4126	190	42	results	result	VERB
ejpam-4126	190	43	for	for	ADP
ejpam-4126	190	44	coincidence	coincidence	NOUN
ejpam-4126	190	45	common	common	ADJ
ejpam-4126	190	46	fixed	fix	VERB
ejpam-4126	190	47	points	point	NOUN
ejpam-4126	190	48	are	be	AUX
ejpam-4126	190	49	collected	collect	VERB
ejpam-4126	190	50	in	in	ADP
ejpam-4126	190	51	the	the	DET
ejpam-4126	190	52	following	follow	VERB
ejpam-4126	190	53	theorem	theorem	NOUN
ejpam-4126	190	54	2	2	X
ejpam-4126	190	55	.	.	PUNCT
ejpam-4126	191	1	let	let	AUX
ejpam-4126	191	2	(	(	PUNCT
ejpam-4126	191	3	x	x	NOUN
ejpam-4126	191	4	,	,	PUNCT
ejpam-4126	191	5	g	g	NOUN
ejpam-4126	191	6	)	)	PUNCT
ejpam-4126	191	7	be	be	VERB
ejpam-4126	191	8	a	a	DET
ejpam-4126	191	9	cone	cone	NOUN
ejpam-4126	191	10	gb	gb	ADV
ejpam-4126	191	11	-	-	PUNCT
ejpam-4126	191	12	metric	metric	ADJ
ejpam-4126	191	13	space	space	NOUN
ejpam-4126	191	14	with	with	ADP
ejpam-4126	191	15	the	the	DET
ejpam-4126	191	16	coefficient	coefficient	NOUN
ejpam-4126	191	17	s	s	PART
ejpam-4126	191	18	≥	≥	NOUN
ejpam-4126	191	19	1	1	NUM
ejpam-4126	191	20	relative	relative	ADJ
ejpam-4126	191	21	to	to	ADP
ejpam-4126	191	22	a	a	DET
ejpam-4126	191	23	normal	normal	ADJ
ejpam-4126	191	24	constant	constant	ADJ
ejpam-4126	191	25	k	k	PROPN
ejpam-4126	191	26	≥	≥	NUM
ejpam-4126	191	27	1	1	NUM
ejpam-4126	191	28	.	.	PUNCT
ejpam-4126	191	29	suppose	suppose	VERB
ejpam-4126	191	30	that	that	SCONJ
ejpam-4126	191	31	the	the	DET
ejpam-4126	191	32	mappings	mapping	NOUN
ejpam-4126	191	33	f	f	X
ejpam-4126	191	34	,	,	PUNCT
ejpam-4126	191	35	t	t	PROPN
ejpam-4126	191	36	,	,	PUNCT
ejpam-4126	191	37	r	r	NOUN
ejpam-4126	191	38	,	,	PUNCT
ejpam-4126	191	39	f	f	NOUN
ejpam-4126	191	40	:	:	PUNCT
ejpam-4126	191	41	x	x	X
ejpam-4126	191	42	→	→	SYM
ejpam-4126	191	43	x	x	PART
ejpam-4126	191	44	satisfy	satisfy	NOUN
ejpam-4126	191	45	sgk(fx	sgk(fx	NOUN
ejpam-4126	191	46	,	,	PUNCT
ejpam-4126	191	47	ty	ty	INTJ
ejpam-4126	191	48	,	,	PUNCT
ejpam-4126	191	49	rz	rz	NOUN
ejpam-4126	191	50	)	)	PUNCT
ejpam-4126	191	51	≤	≤	NOUN
ejpam-4126	191	52	λmk(x	λmk(x	PROPN
ejpam-4126	191	53	,	,	PUNCT
ejpam-4126	191	54	y	y	PROPN
ejpam-4126	191	55	,	,	PUNCT
ejpam-4126	191	56	z	z	NOUN
ejpam-4126	191	57	)	)	PUNCT
ejpam-4126	191	58	+	+	CCONJ
ejpam-4126	191	59	lnk(x	lnk(x	PROPN
ejpam-4126	191	60	,	,	PUNCT
ejpam-4126	191	61	y	y	PROPN
ejpam-4126	191	62	,	,	PUNCT
ejpam-4126	191	63	z	z	NOUN
ejpam-4126	191	64	)	)	PUNCT
ejpam-4126	191	65	,	,	PUNCT
ejpam-4126	191	66	(	(	PUNCT
ejpam-4126	191	67	6	6	NUM
ejpam-4126	191	68	)	)	PUNCT
ejpam-4126	191	69	where	where	SCONJ
ejpam-4126	191	70	mk(x	mk(x	NOUN
ejpam-4126	191	71	,	,	PUNCT
ejpam-4126	191	72	y	y	PROPN
ejpam-4126	191	73	,	,	PUNCT
ejpam-4126	191	74	z	z	NOUN
ejpam-4126	191	75	)	)	PUNCT
ejpam-4126	191	76	=	=	SYM
ejpam-4126	191	77	max{gk(fx	max{gk(fx	NOUN
ejpam-4126	191	78	,	,	PUNCT
ejpam-4126	191	79	fy	fy	PROPN
ejpam-4126	191	80	,	,	PUNCT
ejpam-4126	191	81	fz	fz	PROPN
ejpam-4126	191	82	)	)	PUNCT
ejpam-4126	191	83	,	,	PUNCT
ejpam-4126	191	84	gk(fx	gk(fx	PROPN
ejpam-4126	191	85	,	,	PUNCT
ejpam-4126	191	86	fy	fy	PROPN
ejpam-4126	191	87	,	,	PUNCT
ejpam-4126	191	88	fz	fz	PROPN
ejpam-4126	191	89	)	)	PUNCT
ejpam-4126	191	90	,	,	PUNCT
ejpam-4126	191	91	gk(fx	gk(fx	PROPN
ejpam-4126	191	92	,	,	PUNCT
ejpam-4126	191	93	ty	ty	PRON
ejpam-4126	191	94	,	,	PUNCT
ejpam-4126	191	95	fz	fz	NOUN
ejpam-4126	191	96	)	)	PUNCT
ejpam-4126	191	97	,	,	PUNCT
ejpam-4126	191	98	gk(fx	gk(fx	PROPN
ejpam-4126	191	99	,	,	PUNCT
ejpam-4126	191	100	fy	fy	PROPN
ejpam-4126	191	101	,	,	PUNCT
ejpam-4126	191	102	rz	rz	NOUN
ejpam-4126	191	103	)	)	PUNCT
ejpam-4126	191	104	,	,	PUNCT
ejpam-4126	191	105	gk(fx	gk(fx	NOUN
ejpam-4126	191	106	,	,	PUNCT
ejpam-4126	191	107	ty	ty	INTJ
ejpam-4126	191	108	,	,	PUNCT
ejpam-4126	191	109	rz	rz	NOUN
ejpam-4126	191	110	)	)	PUNCT
ejpam-4126	191	111	,	,	PUNCT
ejpam-4126	191	112	gk(fx	gk(fx	PROPN
ejpam-4126	191	113	,	,	PUNCT
ejpam-4126	191	114	fy	fy	PROPN
ejpam-4126	191	115	,	,	PUNCT
ejpam-4126	191	116	rz	rz	NOUN
ejpam-4126	191	117	)	)	PUNCT
ejpam-4126	191	118	,	,	PUNCT
ejpam-4126	191	119	gk(fx	gk(fx	PROPN
ejpam-4126	191	120	,	,	PUNCT
ejpam-4126	191	121	ty	ty	PRON
ejpam-4126	191	122	,	,	PUNCT
ejpam-4126	191	123	fz	fz	NOUN
ejpam-4126	191	124	)	)	PUNCT
ejpam-4126	191	125	,	,	PUNCT
ejpam-4126	191	126	gk(fx	gk(fx	NOUN
ejpam-4126	191	127	,	,	PUNCT
ejpam-4126	191	128	fx	fx	PROPN
ejpam-4126	191	129	,	,	PUNCT
ejpam-4126	191	130	fx	fx	PROPN
ejpam-4126	191	131	)	)	PUNCT
ejpam-4126	191	132	,	,	PUNCT
ejpam-4126	191	133	gk(ty	gk(ty	PROPN
ejpam-4126	191	134	,	,	PUNCT
ejpam-4126	191	135	ty	ty	INTJ
ejpam-4126	191	136	,	,	PUNCT
ejpam-4126	191	137	fy	fy	PROPN
ejpam-4126	191	138	)	)	PUNCT
ejpam-4126	191	139	,	,	PUNCT
ejpam-4126	191	140	gk(rz	gk(rz	PROPN
ejpam-4126	191	141	,	,	PUNCT
ejpam-4126	191	142	rz	rz	PROPN
ejpam-4126	191	143	,	,	PUNCT
ejpam-4126	191	144	fz	fz	NOUN
ejpam-4126	191	145	)	)	PUNCT
ejpam-4126	191	146	,	,	PUNCT
ejpam-4126	191	147	gk(fx	gk(fx	NOUN
ejpam-4126	191	148	,	,	PUNCT
ejpam-4126	191	149	fx	fx	PROPN
ejpam-4126	191	150	,	,	PUNCT
ejpam-4126	191	151	fx	fx	PROPN
ejpam-4126	191	152	)	)	PUNCT
ejpam-4126	191	153	,	,	PUNCT
ejpam-4126	191	154	gk(ty	gk(ty	PROPN
ejpam-4126	191	155	,	,	PUNCT
ejpam-4126	191	156	fy	fy	PROPN
ejpam-4126	191	157	,	,	PUNCT
ejpam-4126	191	158	fy	fy	PROPN
ejpam-4126	191	159	)	)	PUNCT
ejpam-4126	191	160	,	,	PUNCT
ejpam-4126	191	161	gk(rz	gk(rz	PROPN
ejpam-4126	191	162	,	,	PUNCT
ejpam-4126	191	163	fz	fz	PROPN
ejpam-4126	191	164	,	,	PUNCT
ejpam-4126	191	165	fz	fz	NOUN
ejpam-4126	191	166	)	)	PUNCT
ejpam-4126	191	167	}	}	PUNCT
ejpam-4126	191	168	,	,	PUNCT
ejpam-4126	191	169	nk(x	nk(x	PROPN
ejpam-4126	191	170	,	,	PUNCT
ejpam-4126	191	171	y	y	PROPN
ejpam-4126	191	172	,	,	PUNCT
ejpam-4126	191	173	z	z	NOUN
ejpam-4126	191	174	)	)	PUNCT
ejpam-4126	191	175	=	=	SYM
ejpam-4126	191	176	min{gk(fx	min{gk(fx	NOUN
ejpam-4126	191	177	,	,	PUNCT
ejpam-4126	191	178	fy	fy	PROPN
ejpam-4126	191	179	,	,	PUNCT
ejpam-4126	191	180	fy	fy	PROPN
ejpam-4126	191	181	)	)	PUNCT
ejpam-4126	191	182	,	,	PUNCT
ejpam-4126	191	183	gk(fx	gk(fx	PROPN
ejpam-4126	191	184	,	,	PUNCT
ejpam-4126	191	185	fz	fz	PROPN
ejpam-4126	191	186	,	,	PUNCT
ejpam-4126	191	187	fz	fz	PROPN
ejpam-4126	191	188	)	)	PUNCT
ejpam-4126	191	189	,	,	PUNCT
ejpam-4126	191	190	gk(ty	gk(ty	PROPN
ejpam-4126	191	191	,	,	PUNCT
ejpam-4126	191	192	fz	fz	PROPN
ejpam-4126	191	193	,	,	PUNCT
ejpam-4126	191	194	fz	fz	PROPN
ejpam-4126	191	195	)	)	PUNCT
ejpam-4126	191	196	,	,	PUNCT
ejpam-4126	191	197	gk(ty	gk(ty	PROPN
ejpam-4126	191	198	,	,	PUNCT
ejpam-4126	191	199	fx	fx	PROPN
ejpam-4126	191	200	,	,	PUNCT
ejpam-4126	191	201	fx	fx	PROPN
ejpam-4126	191	202	)	)	PUNCT
ejpam-4126	191	203	,	,	PUNCT
ejpam-4126	191	204	gk(rz	gk(rz	PROPN
ejpam-4126	191	205	,	,	PUNCT
ejpam-4126	191	206	fx	fx	PROPN
ejpam-4126	191	207	,	,	PUNCT
ejpam-4126	191	208	fx	fx	PROPN
ejpam-4126	191	209	)	)	PUNCT
ejpam-4126	191	210	,	,	PUNCT
ejpam-4126	191	211	gk(rz	gk(rz	PROPN
ejpam-4126	191	212	,	,	PUNCT
ejpam-4126	191	213	fy	fy	PROPN
ejpam-4126	191	214	,	,	PUNCT
ejpam-4126	191	215	fy	fy	PROPN
ejpam-4126	191	216	)	)	PUNCT
ejpam-4126	191	217	}	}	PUNCT
ejpam-4126	191	218	,	,	PUNCT
ejpam-4126	191	219	for	for	ADP
ejpam-4126	191	220	all	all	DET
ejpam-4126	191	221	x	x	NOUN
ejpam-4126	191	222	,	,	PUNCT
ejpam-4126	191	223	y	y	PROPN
ejpam-4126	191	224	,	,	PUNCT
ejpam-4126	191	225	z	z	PROPN
ejpam-4126	191	226	∈	∈	PROPN
ejpam-4126	191	227	x	x	X
ejpam-4126	191	228	,	,	PUNCT
ejpam-4126	191	229	λ	λ	PROPN
ejpam-4126	191	230	∈	∈	PROPN
ejpam-4126	191	231	[	[	X
ejpam-4126	191	232	0	0	NUM
ejpam-4126	191	233	,	,	PUNCT
ejpam-4126	191	234	1	1	NUM
ejpam-4126	191	235	2k	2k	NUM
ejpam-4126	191	236	)	)	PUNCT
ejpam-4126	191	237	,	,	PUNCT
ejpam-4126	191	238	and	and	CCONJ
ejpam-4126	191	239	l	l	NOUN
ejpam-4126	191	240	≥	≥	NOUN
ejpam-4126	191	241	0	0	NUM
ejpam-4126	191	242	.	.	PUNCT
ejpam-4126	192	1	if	if	SCONJ
ejpam-4126	192	2	f	f	PROPN
ejpam-4126	192	3	(	(	PUNCT
ejpam-4126	192	4	x)∪t	x)∪t	PROPN
ejpam-4126	192	5	(	(	PUNCT
ejpam-4126	192	6	x)∪r(x	x)∪r(x	PROPN
ejpam-4126	192	7	)	)	PUNCT
ejpam-4126	192	8	⊂	⊂	PROPN
ejpam-4126	192	9	f(x	f(x	PROPN
ejpam-4126	192	10	)	)	PUNCT
ejpam-4126	192	11	and	and	CCONJ
ejpam-4126	192	12	f(x	f(x	PROPN
ejpam-4126	192	13	)	)	PUNCT
ejpam-4126	192	14	is	be	AUX
ejpam-4126	192	15	a	a	DET
ejpam-4126	192	16	gb	gb	ADV
ejpam-4126	192	17	-	-	PUNCT
ejpam-4126	192	18	complete	complete	ADJ
ejpam-4126	192	19	subspace	subspace	NOUN
ejpam-4126	192	20	of	of	ADP
ejpam-4126	192	21	x	x	PRON
ejpam-4126	192	22	,	,	PUNCT
ejpam-4126	192	23	then	then	ADV
ejpam-4126	192	24	f	f	X
ejpam-4126	192	25	,	,	PUNCT
ejpam-4126	192	26	t	t	PROPN
ejpam-4126	192	27	,	,	PUNCT
ejpam-4126	192	28	r	r	NOUN
ejpam-4126	192	29	,	,	PUNCT
ejpam-4126	192	30	and	and	CCONJ
ejpam-4126	192	31	f	f	PROPN
ejpam-4126	192	32	have	have	VERB
ejpam-4126	192	33	a	a	DET
ejpam-4126	192	34	unique	unique	ADJ
ejpam-4126	192	35	point	point	NOUN
ejpam-4126	192	36	of	of	ADP
ejpam-4126	192	37	coincidence	coincidence	NOUN
ejpam-4126	192	38	in	in	ADP
ejpam-4126	192	39	x.	x.	NOUN
ejpam-4126	192	40	moreover	moreover	ADV
ejpam-4126	192	41	if	if	SCONJ
ejpam-4126	192	42	the	the	DET
ejpam-4126	192	43	pairs	pair	NOUN
ejpam-4126	192	44	(	(	PUNCT
ejpam-4126	192	45	f	f	X
ejpam-4126	192	46	,	,	PUNCT
ejpam-4126	192	47	f	f	PROPN
ejpam-4126	192	48	)	)	PUNCT
ejpam-4126	192	49	,	,	PUNCT
ejpam-4126	192	50	(	(	PUNCT
ejpam-4126	192	51	f	f	X
ejpam-4126	192	52	,	,	PUNCT
ejpam-4126	192	53	t	t	PROPN
ejpam-4126	192	54	)	)	PUNCT
ejpam-4126	192	55	,	,	PUNCT
ejpam-4126	192	56	and	and	CCONJ
ejpam-4126	192	57	(	(	PUNCT
ejpam-4126	192	58	f	f	X
ejpam-4126	192	59	,	,	PUNCT
ejpam-4126	192	60	r	r	NOUN
ejpam-4126	192	61	)	)	PUNCT
ejpam-4126	192	62	are	be	AUX
ejpam-4126	192	63	weakly	weakly	ADV
ejpam-4126	192	64	compatible	compatible	ADJ
ejpam-4126	192	65	,	,	PUNCT
ejpam-4126	192	66	then	then	ADV
ejpam-4126	192	67	f	f	X
ejpam-4126	192	68	,	,	PUNCT
ejpam-4126	192	69	t	t	PROPN
ejpam-4126	192	70	,	,	PUNCT
ejpam-4126	192	71	r	r	NOUN
ejpam-4126	192	72	and	and	CCONJ
ejpam-4126	192	73	f	f	PROPN
ejpam-4126	192	74	have	have	VERB
ejpam-4126	192	75	a	a	DET
ejpam-4126	192	76	unique	unique	ADJ
ejpam-4126	192	77	common	common	ADJ
ejpam-4126	192	78	fixed	fix	VERB
ejpam-4126	192	79	point	point	NOUN
ejpam-4126	192	80	.	.	PUNCT
ejpam-4126	193	1	proof	proof	NOUN
ejpam-4126	193	2	.	.	PUNCT
ejpam-4126	194	1	let	let	VERB
ejpam-4126	194	2	x0	x0	PROPN
ejpam-4126	194	3	in	in	SCONJ
ejpam-4126	194	4	x	x	PART
ejpam-4126	194	5	be	be	AUX
ejpam-4126	194	6	an	an	DET
ejpam-4126	194	7	arbitrary	arbitrary	ADJ
ejpam-4126	194	8	point	point	NOUN
ejpam-4126	194	9	since	since	SCONJ
ejpam-4126	194	10	f	f	PROPN
ejpam-4126	194	11	(	(	PUNCT
ejpam-4126	194	12	x	x	X
ejpam-4126	194	13	)	)	PUNCT
ejpam-4126	194	14	∪	∪	ADP
ejpam-4126	194	15	t	t	PROPN
ejpam-4126	194	16	(	(	PUNCT
ejpam-4126	194	17	x	x	NOUN
ejpam-4126	194	18	)	)	PUNCT
ejpam-4126	194	19	∪	∪	ADP
ejpam-4126	194	20	r(x	r(x	PROPN
ejpam-4126	194	21	)	)	PUNCT
ejpam-4126	194	22	⊂	⊂	PROPN
ejpam-4126	194	23	f(x	f(x	PROPN
ejpam-4126	194	24	)	)	PUNCT
ejpam-4126	194	25	.	.	PUNCT
ejpam-4126	195	1	there	there	PRON
ejpam-4126	195	2	exist	exist	VERB
ejpam-4126	195	3	sequences	sequence	NOUN
ejpam-4126	195	4	(	(	PUNCT
ejpam-4126	195	5	xn	xn	NUM
ejpam-4126	195	6	)	)	PUNCT
ejpam-4126	195	7	and	and	CCONJ
ejpam-4126	195	8	(	(	PUNCT
ejpam-4126	195	9	yn	yn	NOUN
ejpam-4126	195	10	)	)	PUNCT
ejpam-4126	195	11	in	in	ADP
ejpam-4126	195	12	x	x	X
ejpam-4126	195	13	such	such	ADJ
ejpam-4126	195	14	that	that	SCONJ
ejpam-4126	195	15	y3n	y3n	PROPN
ejpam-4126	195	16	=	=	SYM
ejpam-4126	195	17	fx3n+1	fx3n+1	PROPN
ejpam-4126	195	18	=	=	SYM
ejpam-4126	195	19	fx3n	fx3n	PROPN
ejpam-4126	195	20	,	,	PUNCT
ejpam-4126	195	21	y3n+1	y3n+1	PROPN
ejpam-4126	195	22	=	=	SYM
ejpam-4126	195	23	fx3n+2	fx3n+2	PROPN
ejpam-4126	195	24	=	=	SYM
ejpam-4126	195	25	tx3n+1	tx3n+1	PROPN
ejpam-4126	195	26	,	,	PUNCT
ejpam-4126	195	27	y3n+2	y3n+2	PROPN
ejpam-4126	195	28	=	=	SYM
ejpam-4126	195	29	fx3n+3	fx3n+3	PROPN
ejpam-4126	195	30	=	=	SYM
ejpam-4126	195	31	rx3n+2	rx3n+2	PROPN
ejpam-4126	195	32	,	,	PUNCT
ejpam-4126	195	33	for	for	ADP
ejpam-4126	195	34	all	all	DET
ejpam-4126	195	35	n	n	NOUN
ejpam-4126	195	36	=	=	SYM
ejpam-4126	195	37	0	0	NUM
ejpam-4126	195	38	,	,	PUNCT
ejpam-4126	195	39	1	1	NUM
ejpam-4126	195	40	,	,	PUNCT
ejpam-4126	195	41	2	2	NUM
ejpam-4126	195	42	,	,	PUNCT
ejpam-4126	195	43	.	.	PUNCT
ejpam-4126	195	44	.	.	PUNCT
ejpam-4126	196	1	..	..	PUNCT
ejpam-4126	196	2	then	then	ADV
ejpam-4126	196	3	from	from	ADP
ejpam-4126	196	4	(	(	PUNCT
ejpam-4126	196	5	6	6	NUM
ejpam-4126	196	6	)	)	PUNCT
ejpam-4126	196	7	,	,	PUNCT
ejpam-4126	196	8	we	we	PRON
ejpam-4126	196	9	have	have	VERB
ejpam-4126	196	10	for	for	ADP
ejpam-4126	196	11	all	all	PRON
ejpam-4126	196	12	n	n	PRON
ejpam-4126	196	13	∈	∈	PROPN
ejpam-4126	196	14	n	n	X
ejpam-4126	196	15	gk(y3n	gk(y3n	PROPN
ejpam-4126	196	16	,	,	PUNCT
ejpam-4126	196	17	y3n+1	y3n+1	PROPN
ejpam-4126	196	18	,	,	PUNCT
ejpam-4126	196	19	y3n+2	y3n+2	PROPN
ejpam-4126	196	20	)	)	PUNCT
ejpam-4126	196	21	=	=	SYM
ejpam-4126	196	22	gk(fx3n	gk(fx3n	PROPN
ejpam-4126	196	23	,	,	PUNCT
ejpam-4126	196	24	tx3n+1	tx3n+1	PROPN
ejpam-4126	196	25	,	,	PUNCT
ejpam-4126	196	26	rx3n+2	rx3n+2	NOUN
ejpam-4126	196	27	)	)	PUNCT
ejpam-4126	196	28	≤	≤	PUNCT
ejpam-4126	197	1	λ	λ	PROPN
ejpam-4126	197	2	smk(x3n	smk(x3n	PROPN
ejpam-4126	197	3	,	,	PUNCT
ejpam-4126	197	4	x3n+1	x3n+1	PROPN
ejpam-4126	197	5	,	,	PUNCT
ejpam-4126	197	6	x3n+2	x3n+2	X
ejpam-4126	197	7	)	)	PUNCT
ejpam-4126	198	1	+	+	CCONJ
ejpam-4126	198	2	l	l	NOUN
ejpam-4126	198	3	s2	s2	PROPN
ejpam-4126	198	4	nk(x3n	nk(x3n	PROPN
ejpam-4126	198	5	,	,	PUNCT
ejpam-4126	198	6	x3n+1	x3n+1	PROPN
ejpam-4126	198	7	,	,	PUNCT
ejpam-4126	198	8	x3n+2	x3n+2	PROPN
ejpam-4126	198	9	)	)	PUNCT
ejpam-4126	198	10	,	,	PUNCT
ejpam-4126	198	11	(	(	PUNCT
ejpam-4126	198	12	7	7	X
ejpam-4126	198	13	)	)	PUNCT
ejpam-4126	198	14	s.	s.	PROPN
ejpam-4126	198	15	benchabane	benchabane	PROPN
ejpam-4126	198	16	,	,	PUNCT
ejpam-4126	198	17	s.	s.	PROPN
ejpam-4126	198	18	djebali	djebali	PROPN
ejpam-4126	198	19	/	/	SYM
ejpam-4126	198	20	eur	eur	PROPN
ejpam-4126	198	21	.	.	PUNCT
ejpam-4126	199	1	j.	j.	PROPN
ejpam-4126	199	2	pure	pure	PROPN
ejpam-4126	199	3	appl	appl	PROPN
ejpam-4126	199	4	.	.	PROPN
ejpam-4126	199	5	math	math	PROPN
ejpam-4126	199	6	,	,	PUNCT
ejpam-4126	199	7	14	14	NUM
ejpam-4126	199	8	(	(	PUNCT
ejpam-4126	199	9	4	4	NUM
ejpam-4126	199	10	)	)	PUNCT
ejpam-4126	199	11	(	(	PUNCT
ejpam-4126	199	12	2021	2021	NUM
ejpam-4126	199	13	)	)	PUNCT
ejpam-4126	199	14	,	,	PUNCT
ejpam-4126	199	15	1350	1350	NUM
ejpam-4126	199	16	-	-	SYM
ejpam-4126	199	17	1366	1366	NUM
ejpam-4126	199	18	1360	1360	NUM
ejpam-4126	200	1	where	where	SCONJ
ejpam-4126	200	2	mk(x3n	mk(x3n	PROPN
ejpam-4126	200	3	,	,	PUNCT
ejpam-4126	200	4	x3n+1	x3n+1	PROPN
ejpam-4126	200	5	,	,	PUNCT
ejpam-4126	200	6	x3n+2	x3n+2	X
ejpam-4126	200	7	)	)	PUNCT
ejpam-4126	200	8	=	=	SYM
ejpam-4126	200	9	max{gk(fx3n	max{gk(fx3n	PROPN
ejpam-4126	200	10	,	,	PUNCT
ejpam-4126	200	11	fx3n+1	fx3n+1	PROPN
ejpam-4126	200	12	,	,	PUNCT
ejpam-4126	200	13	fx3n+2	fx3n+2	NOUN
ejpam-4126	200	14	)	)	PUNCT
ejpam-4126	200	15	,	,	PUNCT
ejpam-4126	200	16	gk(fx3n	gk(fx3n	PROPN
ejpam-4126	200	17	,	,	PUNCT
ejpam-4126	200	18	fx3n+1	fx3n+1	PROPN
ejpam-4126	200	19	,	,	PUNCT
ejpam-4126	200	20	fx3n+2	fx3n+2	NOUN
ejpam-4126	200	21	)	)	PUNCT
ejpam-4126	200	22	,	,	PUNCT
ejpam-4126	200	23	gk(fx3n	gk(fx3n	PROPN
ejpam-4126	200	24	,	,	PUNCT
ejpam-4126	200	25	tx3n+1	tx3n+1	PROPN
ejpam-4126	200	26	,	,	PUNCT
ejpam-4126	200	27	fx3n+2	fx3n+2	NOUN
ejpam-4126	200	28	)	)	PUNCT
ejpam-4126	200	29	,	,	PUNCT
ejpam-4126	200	30	gk(fx3n	gk(fx3n	PROPN
ejpam-4126	200	31	,	,	PUNCT
ejpam-4126	200	32	fx3n+1	fx3n+1	PROPN
ejpam-4126	200	33	,	,	PUNCT
ejpam-4126	200	34	rx3n+2	rx3n+2	NUM
ejpam-4126	200	35	)	)	PUNCT
ejpam-4126	200	36	,	,	PUNCT
ejpam-4126	200	37	gk(fx3n	gk(fx3n	PROPN
ejpam-4126	200	38	,	,	PUNCT
ejpam-4126	200	39	tx3n+1	tx3n+1	PROPN
ejpam-4126	200	40	,	,	PUNCT
ejpam-4126	200	41	rx3n+2	rx3n+2	NUM
ejpam-4126	200	42	)	)	PUNCT
ejpam-4126	200	43	,	,	PUNCT
ejpam-4126	200	44	gk(fx3n	gk(fx3n	PROPN
ejpam-4126	200	45	,	,	PUNCT
ejpam-4126	200	46	fx3n+1	fx3n+1	PROPN
ejpam-4126	200	47	,	,	PUNCT
ejpam-4126	200	48	rx3n+2	rx3n+2	NUM
ejpam-4126	200	49	)	)	PUNCT
ejpam-4126	200	50	,	,	PUNCT
ejpam-4126	200	51	gk(fx3n	gk(fx3n	PROPN
ejpam-4126	200	52	,	,	PUNCT
ejpam-4126	200	53	tx3n+1	tx3n+1	PROPN
ejpam-4126	200	54	,	,	PUNCT
ejpam-4126	200	55	fx3n+2	fx3n+2	NOUN
ejpam-4126	200	56	)	)	PUNCT
ejpam-4126	200	57	,	,	PUNCT
ejpam-4126	200	58	gk(fx3n	gk(fx3n	PROPN
ejpam-4126	200	59	,	,	PUNCT
ejpam-4126	200	60	fx3n	fx3n	PROPN
ejpam-4126	200	61	,	,	PUNCT
ejpam-4126	200	62	fx3n	fx3n	PROPN
ejpam-4126	200	63	)	)	PUNCT
ejpam-4126	200	64	,	,	PUNCT
ejpam-4126	200	65	gk(tx3n+1	gk(tx3n+1	PROPN
ejpam-4126	200	66	,	,	PUNCT
ejpam-4126	200	67	tx3n+1	tx3n+1	PROPN
ejpam-4126	200	68	,	,	PUNCT
ejpam-4126	200	69	fx3n+1	fx3n+1	NOUN
ejpam-4126	200	70	)	)	PUNCT
ejpam-4126	200	71	,	,	PUNCT
ejpam-4126	200	72	gk(rx3n+2	gk(rx3n+2	NOUN
ejpam-4126	200	73	,	,	PUNCT
ejpam-4126	200	74	rx3n+2	rx3n+2	PROPN
ejpam-4126	200	75	,	,	PUNCT
ejpam-4126	200	76	fx3n+2	fx3n+2	NOUN
ejpam-4126	200	77	)	)	PUNCT
ejpam-4126	200	78	gk(fx3n	gk(fx3n	PROPN
ejpam-4126	200	79	,	,	PUNCT
ejpam-4126	200	80	fx3n	fx3n	PROPN
ejpam-4126	200	81	,	,	PUNCT
ejpam-4126	200	82	fx3n	fx3n	PROPN
ejpam-4126	200	83	)	)	PUNCT
ejpam-4126	200	84	,	,	PUNCT
ejpam-4126	200	85	gk(tx3n+1	gk(tx3n+1	NOUN
ejpam-4126	200	86	,	,	PUNCT
ejpam-4126	200	87	fx3n+1	fx3n+1	ADJ
ejpam-4126	200	88	,	,	PUNCT
ejpam-4126	200	89	fx3n+1	fx3n+1	NOUN
ejpam-4126	200	90	)	)	PUNCT
ejpam-4126	200	91	,	,	PUNCT
ejpam-4126	200	92	gk(rx3n+2	gk(rx3n+2	PROPN
ejpam-4126	200	93	,	,	PUNCT
ejpam-4126	200	94	fx3n+2	fx3n+2	PROPN
ejpam-4126	200	95	,	,	PUNCT
ejpam-4126	200	96	fx3n+2	fx3n+2	NOUN
ejpam-4126	200	97	)	)	PUNCT
ejpam-4126	200	98	}	}	PUNCT
ejpam-4126	200	99	=	=	SYM
ejpam-4126	200	100	max{gk(y3n−1	max{gk(y3n−1	NUM
ejpam-4126	200	101	,	,	PUNCT
ejpam-4126	200	102	y3n	y3n	PROPN
ejpam-4126	200	103	,	,	PUNCT
ejpam-4126	200	104	y3n+1	y3n+1	PROPN
ejpam-4126	200	105	)	)	PUNCT
ejpam-4126	200	106	,	,	PUNCT
ejpam-4126	200	107	gk(y3n	gk(y3n	PROPN
ejpam-4126	200	108	,	,	PUNCT
ejpam-4126	200	109	y3n	y3n	PROPN
ejpam-4126	200	110	,	,	PUNCT
ejpam-4126	200	111	y3n+1	y3n+1	PROPN
ejpam-4126	200	112	)	)	PUNCT
ejpam-4126	200	113	,	,	PUNCT
ejpam-4126	200	114	gk(y3n−1	gk(y3n−1	PROPN
ejpam-4126	200	115	,	,	PUNCT
ejpam-4126	200	116	y3n+1	y3n+1	PROPN
ejpam-4126	200	117	,	,	PUNCT
ejpam-4126	200	118	y3n+1	y3n+1	PROPN
ejpam-4126	200	119	)	)	PUNCT
ejpam-4126	200	120	,	,	PUNCT
ejpam-4126	200	121	gk(y3n−1	gk(y3n−1	PROPN
ejpam-4126	200	122	,	,	PUNCT
ejpam-4126	200	123	y3n	y3n	PROPN
ejpam-4126	200	124	,	,	PUNCT
ejpam-4126	200	125	y3n+2	y3n+2	PROPN
ejpam-4126	200	126	)	)	PUNCT
ejpam-4126	200	127	,	,	PUNCT
ejpam-4126	200	128	gk(y3n−1	gk(y3n−1	PROPN
ejpam-4126	200	129	,	,	PUNCT
ejpam-4126	200	130	y3n+1	y3n+1	PROPN
ejpam-4126	200	131	,	,	PUNCT
ejpam-4126	200	132	y3n+2	y3n+2	PROPN
ejpam-4126	200	133	)	)	PUNCT
ejpam-4126	200	134	,	,	PUNCT
ejpam-4126	200	135	gk(y3n	gk(y3n	PROPN
ejpam-4126	200	136	,	,	PUNCT
ejpam-4126	200	137	y3n	y3n	PROPN
ejpam-4126	200	138	,	,	PUNCT
ejpam-4126	200	139	y3n+2	y3n+2	PROPN
ejpam-4126	200	140	)	)	PUNCT
ejpam-4126	200	141	,	,	PUNCT
ejpam-4126	200	142	gk(y3n	gk(y3n	PROPN
ejpam-4126	200	143	,	,	PUNCT
ejpam-4126	200	144	y3n+1	y3n+1	PROPN
ejpam-4126	200	145	,	,	PUNCT
ejpam-4126	200	146	y3n+1	y3n+1	PROPN
ejpam-4126	200	147	)	)	PUNCT
ejpam-4126	200	148	,	,	PUNCT
ejpam-4126	200	149	gk(y3n	gk(y3n	PROPN
ejpam-4126	200	150	,	,	PUNCT
ejpam-4126	200	151	y3n	y3n	PROPN
ejpam-4126	200	152	,	,	PUNCT
ejpam-4126	200	153	y3n−1	y3n−1	PROPN
ejpam-4126	200	154	)	)	PUNCT
ejpam-4126	200	155	,	,	PUNCT
ejpam-4126	200	156	gk(y3n+1	gk(y3n+1	NOUN
ejpam-4126	200	157	,	,	PUNCT
ejpam-4126	200	158	y3n+1	y3n+1	PROPN
ejpam-4126	200	159	,	,	PUNCT
ejpam-4126	200	160	y3n	y3n	PROPN
ejpam-4126	200	161	)	)	PUNCT
ejpam-4126	200	162	,	,	PUNCT
ejpam-4126	200	163	gk(y3n+2	gk(y3n+2	PROPN
ejpam-4126	200	164	,	,	PUNCT
ejpam-4126	200	165	y3n+2	y3n+2	PROPN
ejpam-4126	200	166	,	,	PUNCT
ejpam-4126	200	167	y3n+1	y3n+1	PROPN
ejpam-4126	200	168	)	)	PUNCT
ejpam-4126	200	169	gk(y3n	gk(y3n	PROPN
ejpam-4126	200	170	,	,	PUNCT
ejpam-4126	200	171	y3n−1	y3n−1	PROPN
ejpam-4126	200	172	,	,	PUNCT
ejpam-4126	200	173	y3n−1	y3n−1	PROPN
ejpam-4126	200	174	)	)	PUNCT
ejpam-4126	200	175	,	,	PUNCT
ejpam-4126	200	176	gk(y3n+1	gk(y3n+1	NOUN
ejpam-4126	200	177	,	,	PUNCT
ejpam-4126	200	178	y3n	y3n	PROPN
ejpam-4126	200	179	,	,	PUNCT
ejpam-4126	200	180	y3n	y3n	PROPN
ejpam-4126	200	181	)	)	PUNCT
ejpam-4126	200	182	,	,	PUNCT
ejpam-4126	200	183	gk(y3n+2	gk(y3n+2	PROPN
ejpam-4126	200	184	,	,	PUNCT
ejpam-4126	200	185	y3n+1	y3n+1	PROPN
ejpam-4126	200	186	,	,	PUNCT
ejpam-4126	200	187	y3n+1	y3n+1	PROPN
ejpam-4126	200	188	)	)	PUNCT
ejpam-4126	200	189	}	}	PUNCT
ejpam-4126	200	190	and	and	CCONJ
ejpam-4126	200	191	nk(x3n	nk(x3n	PROPN
ejpam-4126	200	192	,	,	PUNCT
ejpam-4126	200	193	x3n+1	x3n+1	PROPN
ejpam-4126	200	194	,	,	PUNCT
ejpam-4126	200	195	x3n+2	x3n+2	X
ejpam-4126	200	196	)	)	PUNCT
ejpam-4126	200	197	=	=	SYM
ejpam-4126	200	198	min{gk(fx3n	min{gk(fx3n	PROPN
ejpam-4126	200	199	,	,	PUNCT
ejpam-4126	200	200	fx3n+1	fx3n+1	ADJ
ejpam-4126	200	201	,	,	PUNCT
ejpam-4126	200	202	fx3n+1	fx3n+1	NOUN
ejpam-4126	200	203	)	)	PUNCT
ejpam-4126	200	204	,	,	PUNCT
ejpam-4126	200	205	gk(fx3n	gk(fx3n	PROPN
ejpam-4126	200	206	,	,	PUNCT
ejpam-4126	200	207	fx3n+2	fx3n+2	PROPN
ejpam-4126	200	208	,	,	PUNCT
ejpam-4126	200	209	fx3n+2	fx3n+2	NOUN
ejpam-4126	200	210	)	)	PUNCT
ejpam-4126	200	211	,	,	PUNCT
ejpam-4126	200	212	gk(tx3n+1	gk(tx3n+1	PROPN
ejpam-4126	200	213	,	,	PUNCT
ejpam-4126	200	214	fx3n+2	fx3n+2	PROPN
ejpam-4126	200	215	,	,	PUNCT
ejpam-4126	200	216	fx3n+2	fx3n+2	NOUN
ejpam-4126	200	217	)	)	PUNCT
ejpam-4126	200	218	,	,	PUNCT
ejpam-4126	200	219	gk(tx3n+1	gk(tx3n+1	PROPN
ejpam-4126	200	220	,	,	PUNCT
ejpam-4126	200	221	fx3n	fx3n	PROPN
ejpam-4126	200	222	,	,	PUNCT
ejpam-4126	200	223	fx3n	fx3n	PROPN
ejpam-4126	200	224	)	)	PUNCT
ejpam-4126	200	225	,	,	PUNCT
ejpam-4126	200	226	gk(rx3n+2	gk(rx3n+2	PROPN
ejpam-4126	200	227	,	,	PUNCT
ejpam-4126	200	228	fx3n	fx3n	PROPN
ejpam-4126	200	229	,	,	PUNCT
ejpam-4126	200	230	fx3n	fx3n	PROPN
ejpam-4126	200	231	)	)	PUNCT
ejpam-4126	200	232	,	,	PUNCT
ejpam-4126	200	233	gk(rx3n+2	gk(rx3n+2	PROPN
ejpam-4126	200	234	,	,	PUNCT
ejpam-4126	200	235	fx3n+1	fx3n+1	PROPN
ejpam-4126	200	236	,	,	PUNCT
ejpam-4126	200	237	fx3n+1	fx3n+1	NOUN
ejpam-4126	200	238	)	)	PUNCT
ejpam-4126	200	239	}	}	PUNCT
ejpam-4126	200	240	=	=	SYM
ejpam-4126	200	241	min{gk(y3n	min{gk(y3n	NOUN
ejpam-4126	200	242	,	,	PUNCT
ejpam-4126	200	243	y3n	y3n	PROPN
ejpam-4126	200	244	,	,	PUNCT
ejpam-4126	200	245	y3n	y3n	PROPN
ejpam-4126	200	246	)	)	PUNCT
ejpam-4126	200	247	,	,	PUNCT
ejpam-4126	200	248	gk(y3n	gk(y3n	PROPN
ejpam-4126	200	249	,	,	PUNCT
ejpam-4126	200	250	y3n+1	y3n+1	PROPN
ejpam-4126	200	251	,	,	PUNCT
ejpam-4126	200	252	y3n+1	y3n+1	PROPN
ejpam-4126	200	253	)	)	PUNCT
ejpam-4126	200	254	,	,	PUNCT
ejpam-4126	200	255	gk(y3n+1	gk(y3n+1	NOUN
ejpam-4126	200	256	,	,	PUNCT
ejpam-4126	200	257	y3n+1	y3n+1	PROPN
ejpam-4126	200	258	,	,	PUNCT
ejpam-4126	200	259	y3n+1	y3n+1	PROPN
ejpam-4126	200	260	)	)	PUNCT
ejpam-4126	200	261	,	,	PUNCT
ejpam-4126	200	262	gk(y3n+1	gk(y3n+1	PROPN
ejpam-4126	200	263	,	,	PUNCT
ejpam-4126	200	264	y3n−1	y3n−1	PROPN
ejpam-4126	200	265	,	,	PUNCT
ejpam-4126	200	266	y3n−1	y3n−1	PROPN
ejpam-4126	200	267	)	)	PUNCT
ejpam-4126	200	268	,	,	PUNCT
ejpam-4126	200	269	gk(y3n+2	gk(y3n+2	PROPN
ejpam-4126	200	270	,	,	PUNCT
ejpam-4126	200	271	y3n−1	y3n−1	PROPN
ejpam-4126	200	272	,	,	PUNCT
ejpam-4126	200	273	y3n−1	y3n−1	PROPN
ejpam-4126	200	274	)	)	PUNCT
ejpam-4126	200	275	,	,	PUNCT
ejpam-4126	200	276	gk(y3n+2	gk(y3n+2	PROPN
ejpam-4126	200	277	,	,	PUNCT
ejpam-4126	200	278	y3n	y3n	PROPN
ejpam-4126	200	279	,	,	PUNCT
ejpam-4126	200	280	y3n	y3n	PROPN
ejpam-4126	200	281	)	)	PUNCT
ejpam-4126	200	282	}	}	PUNCT
ejpam-4126	200	283	=	=	SYM
ejpam-4126	200	284	0	0	X
ejpam-4126	200	285	.	.	PUNCT
ejpam-4126	200	286	by	by	ADP
ejpam-4126	200	287	(	(	PUNCT
ejpam-4126	200	288	gbc5	gbc5	PROPN
ejpam-4126	200	289	)	)	PUNCT
ejpam-4126	200	290	,	,	PUNCT
ejpam-4126	200	291	(	(	PUNCT
ejpam-4126	200	292	gbc3	gbc3	PROPN
ejpam-4126	200	293	)	)	PUNCT
ejpam-4126	200	294	,	,	PUNCT
ejpam-4126	200	295	and	and	CCONJ
ejpam-4126	200	296	(	(	PUNCT
ejpam-4126	200	297	gbc4	gbc4	PROPN
ejpam-4126	200	298	)	)	PUNCT
ejpam-4126	200	299	,	,	PUNCT
ejpam-4126	200	300	we	we	PRON
ejpam-4126	200	301	have	have	PROPN
ejpam-4126	200	302	g(y3n	g(y3n	PROPN
ejpam-4126	200	303	,	,	PUNCT
ejpam-4126	200	304	y3n	y3n	PROPN
ejpam-4126	200	305	,	,	PUNCT
ejpam-4126	200	306	y3n+1	y3n+1	NOUN
ejpam-4126	200	307	)	)	PUNCT
ejpam-4126	200	308	⪯	⪯	PROPN
ejpam-4126	200	309	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	200	310	,	,	PUNCT
ejpam-4126	200	311	y3n	y3n	PROPN
ejpam-4126	200	312	,	,	PUNCT
ejpam-4126	200	313	y3n+1	y3n+1	PROPN
ejpam-4126	200	314	)	)	PUNCT
ejpam-4126	200	315	,	,	PUNCT
ejpam-4126	200	316	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	200	317	,	,	PUNCT
ejpam-4126	200	318	y3n+1	y3n+1	PROPN
ejpam-4126	200	319	,	,	PUNCT
ejpam-4126	200	320	y3n+1	y3n+1	PROPN
ejpam-4126	200	321	)	)	PUNCT
ejpam-4126	200	322	⪯	⪯	PROPN
ejpam-4126	200	323	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	200	324	,	,	PUNCT
ejpam-4126	200	325	y3n	y3n	PROPN
ejpam-4126	200	326	,	,	PUNCT
ejpam-4126	200	327	y3n+1	y3n+1	PROPN
ejpam-4126	200	328	)	)	PUNCT
ejpam-4126	200	329	,	,	PUNCT
ejpam-4126	200	330	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	200	331	,	,	PUNCT
ejpam-4126	200	332	y3n	y3n	PROPN
ejpam-4126	200	333	,	,	PUNCT
ejpam-4126	200	334	y3n+2	y3n+2	PROPN
ejpam-4126	200	335	)	)	PUNCT
ejpam-4126	200	336	⪯	⪯	PROPN
ejpam-4126	200	337	sg(y3n−1	sg(y3n−1	PROPN
ejpam-4126	200	338	,	,	PUNCT
ejpam-4126	200	339	y3n	y3n	PROPN
ejpam-4126	200	340	,	,	PUNCT
ejpam-4126	200	341	y3n+1	y3n+1	NOUN
ejpam-4126	200	342	)	)	PUNCT
ejpam-4126	200	343	+	+	CCONJ
ejpam-4126	200	344	sg(y3n	sg(y3n	PROPN
ejpam-4126	200	345	,	,	PUNCT
ejpam-4126	200	346	y3n+1	y3n+1	PROPN
ejpam-4126	200	347	,	,	PUNCT
ejpam-4126	200	348	y3n+2	y3n+2	PROPN
ejpam-4126	200	349	)	)	PUNCT
ejpam-4126	200	350	,	,	PUNCT
ejpam-4126	200	351	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	200	352	,	,	PUNCT
ejpam-4126	200	353	y3n+1	y3n+1	PROPN
ejpam-4126	200	354	,	,	PUNCT
ejpam-4126	200	355	y3n+2	y3n+2	PROPN
ejpam-4126	200	356	)	)	PUNCT
ejpam-4126	200	357	⪯	⪯	PROPN
ejpam-4126	200	358	sg(y3n−1	sg(y3n−1	PROPN
ejpam-4126	200	359	,	,	PUNCT
ejpam-4126	200	360	y3n	y3n	PROPN
ejpam-4126	200	361	,	,	PUNCT
ejpam-4126	200	362	y3n+1	y3n+1	NOUN
ejpam-4126	200	363	)	)	PUNCT
ejpam-4126	200	364	+	+	CCONJ
ejpam-4126	200	365	sg(y3n	sg(y3n	PROPN
ejpam-4126	200	366	,	,	PUNCT
ejpam-4126	200	367	y3n+1	y3n+1	PROPN
ejpam-4126	200	368	,	,	PUNCT
ejpam-4126	200	369	y3n+2	y3n+2	PROPN
ejpam-4126	200	370	)	)	PUNCT
ejpam-4126	200	371	,	,	PUNCT
ejpam-4126	200	372	g(y3n	g(y3n	PROPN
ejpam-4126	200	373	,	,	PUNCT
ejpam-4126	200	374	y3n	y3n	PROPN
ejpam-4126	200	375	,	,	PUNCT
ejpam-4126	200	376	y3n+2	y3n+2	PROPN
ejpam-4126	200	377	)	)	PUNCT
ejpam-4126	200	378	⪯	⪯	PROPN
ejpam-4126	200	379	g(y3n	g(y3n	PROPN
ejpam-4126	200	380	,	,	PUNCT
ejpam-4126	200	381	y3n+1	y3n+1	PROPN
ejpam-4126	200	382	,	,	PUNCT
ejpam-4126	200	383	y3n+2	y3n+2	PROPN
ejpam-4126	200	384	)	)	PUNCT
ejpam-4126	200	385	,	,	PUNCT
ejpam-4126	200	386	g(y3n	g(y3n	PROPN
ejpam-4126	200	387	,	,	PUNCT
ejpam-4126	200	388	y3n+1	y3n+1	PROPN
ejpam-4126	200	389	,	,	PUNCT
ejpam-4126	200	390	y3n+1	y3n+1	PROPN
ejpam-4126	200	391	)	)	PUNCT
ejpam-4126	200	392	⪯	⪯	PROPN
ejpam-4126	200	393	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	200	394	,	,	PUNCT
ejpam-4126	200	395	y3n	y3n	PROPN
ejpam-4126	200	396	,	,	PUNCT
ejpam-4126	200	397	y3n+1	y3n+1	PROPN
ejpam-4126	200	398	)	)	PUNCT
ejpam-4126	200	399	,	,	PUNCT
ejpam-4126	200	400	g(y3n	g(y3n	PROPN
ejpam-4126	200	401	,	,	PUNCT
ejpam-4126	200	402	y3n	y3n	PROPN
ejpam-4126	200	403	,	,	PUNCT
ejpam-4126	200	404	y3n−1	y3n−1	PROPN
ejpam-4126	200	405	)	)	PUNCT
ejpam-4126	200	406	⪯	⪯	PROPN
ejpam-4126	200	407	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	200	408	,	,	PUNCT
ejpam-4126	200	409	y3n	y3n	PROPN
ejpam-4126	200	410	,	,	PUNCT
ejpam-4126	200	411	y3n+1	y3n+1	PROPN
ejpam-4126	200	412	)	)	PUNCT
ejpam-4126	200	413	,	,	PUNCT
ejpam-4126	200	414	g(y3n+1	g(y3n+1	PROPN
ejpam-4126	200	415	,	,	PUNCT
ejpam-4126	200	416	y3n+1	y3n+1	PROPN
ejpam-4126	200	417	,	,	PUNCT
ejpam-4126	200	418	y3n	y3n	PROPN
ejpam-4126	200	419	)	)	PUNCT
ejpam-4126	200	420	⪯	⪯	PROPN
ejpam-4126	200	421	g(y3n	g(y3n	PROPN
ejpam-4126	200	422	,	,	PUNCT
ejpam-4126	200	423	y3n+1	y3n+1	PROPN
ejpam-4126	200	424	,	,	PUNCT
ejpam-4126	200	425	y3n+2	y3n+2	PROPN
ejpam-4126	200	426	)	)	PUNCT
ejpam-4126	200	427	,	,	PUNCT
ejpam-4126	200	428	g(y3n+2	g(y3n+2	PROPN
ejpam-4126	200	429	,	,	PUNCT
ejpam-4126	200	430	y3n+2	y3n+2	PROPN
ejpam-4126	200	431	,	,	PUNCT
ejpam-4126	200	432	y3n+1	y3n+1	PROPN
ejpam-4126	200	433	)	)	PUNCT
ejpam-4126	200	434	⪯	⪯	PROPN
ejpam-4126	200	435	g(y3n	g(y3n	PROPN
ejpam-4126	200	436	,	,	PUNCT
ejpam-4126	200	437	y3n+1	y3n+1	PROPN
ejpam-4126	200	438	,	,	PUNCT
ejpam-4126	200	439	y3n+2	y3n+2	PROPN
ejpam-4126	200	440	)	)	PUNCT
ejpam-4126	200	441	,	,	PUNCT
ejpam-4126	200	442	g(y3n	g(y3n	PROPN
ejpam-4126	200	443	,	,	PUNCT
ejpam-4126	200	444	y3n−1	y3n−1	PROPN
ejpam-4126	200	445	,	,	PUNCT
ejpam-4126	200	446	y3n−1	y3n−1	PROPN
ejpam-4126	200	447	)	)	PUNCT
ejpam-4126	200	448	⪯	⪯	PROPN
ejpam-4126	200	449	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	200	450	,	,	PUNCT
ejpam-4126	200	451	y3n	y3n	PROPN
ejpam-4126	200	452	,	,	PUNCT
ejpam-4126	200	453	y3n+1	y3n+1	PROPN
ejpam-4126	200	454	)	)	PUNCT
ejpam-4126	200	455	,	,	PUNCT
ejpam-4126	200	456	g(y3n+1	g(y3n+1	PROPN
ejpam-4126	200	457	,	,	PUNCT
ejpam-4126	200	458	y3n	y3n	PROPN
ejpam-4126	200	459	,	,	PUNCT
ejpam-4126	200	460	y3n	y3n	PROPN
ejpam-4126	200	461	)	)	PUNCT
ejpam-4126	200	462	⪯	⪯	PROPN
ejpam-4126	200	463	g(y3n−1	g(y3n−1	PROPN
ejpam-4126	200	464	,	,	PUNCT
ejpam-4126	200	465	y3n	y3n	PROPN
ejpam-4126	200	466	,	,	PUNCT
ejpam-4126	200	467	y3n+1	y3n+1	PROPN
ejpam-4126	200	468	)	)	PUNCT
ejpam-4126	200	469	,	,	PUNCT
ejpam-4126	200	470	g(y3n+2	g(y3n+2	PROPN
ejpam-4126	200	471	,	,	PUNCT
ejpam-4126	200	472	y3n+1	y3n+1	PROPN
ejpam-4126	200	473	,	,	PUNCT
ejpam-4126	200	474	y3n+1	y3n+1	PROPN
ejpam-4126	200	475	)	)	PUNCT
ejpam-4126	200	476	⪯	⪯	PROPN
ejpam-4126	200	477	g(y3n	g(y3n	PROPN
ejpam-4126	200	478	,	,	PUNCT
ejpam-4126	200	479	y3n+1	y3n+1	PROPN
ejpam-4126	200	480	,	,	PUNCT
ejpam-4126	200	481	y3n+2	y3n+2	PROPN
ejpam-4126	200	482	)	)	PUNCT
ejpam-4126	200	483	.	.	PUNCT
ejpam-4126	201	1	using	use	VERB
ejpam-4126	201	2	the	the	DET
ejpam-4126	201	3	normality	normality	NOUN
ejpam-4126	201	4	of	of	ADP
ejpam-4126	201	5	the	the	DET
ejpam-4126	201	6	cone	cone	NOUN
ejpam-4126	201	7	and	and	CCONJ
ejpam-4126	201	8	the	the	DET
ejpam-4126	201	9	fact	fact	NOUN
ejpam-4126	201	10	that	that	SCONJ
ejpam-4126	201	11	∥.∥	∥.∥	PUNCT
ejpam-4126	201	12	satisfies	satisfy	VERB
ejpam-4126	201	13	the	the	DET
ejpam-4126	201	14	triangle	triangle	NOUN
ejpam-4126	201	15	inequality	inequality	NOUN
ejpam-4126	201	16	,	,	PUNCT
ejpam-4126	201	17	we	we	PRON
ejpam-4126	201	18	s.	s.	PROPN
ejpam-4126	201	19	benchabane	benchabane	PROPN
ejpam-4126	201	20	,	,	PUNCT
ejpam-4126	201	21	s.	s.	PROPN
ejpam-4126	201	22	djebali	djebali	PROPN
ejpam-4126	201	23	/	/	SYM
ejpam-4126	201	24	eur	eur	PROPN
ejpam-4126	201	25	.	.	PUNCT
ejpam-4126	202	1	j.	j.	PROPN
ejpam-4126	202	2	pure	pure	PROPN
ejpam-4126	202	3	appl	appl	PROPN
ejpam-4126	202	4	.	.	PROPN
ejpam-4126	202	5	math	math	PROPN
ejpam-4126	202	6	,	,	PUNCT
ejpam-4126	202	7	14	14	NUM
ejpam-4126	202	8	(	(	PUNCT
ejpam-4126	202	9	4	4	NUM
ejpam-4126	202	10	)	)	PUNCT
ejpam-4126	202	11	(	(	PUNCT
ejpam-4126	202	12	2021	2021	NUM
ejpam-4126	202	13	)	)	PUNCT
ejpam-4126	202	14	,	,	PUNCT
ejpam-4126	202	15	1350	1350	NUM
ejpam-4126	202	16	-	-	SYM
ejpam-4126	202	17	1366	1366	NUM
ejpam-4126	202	18	1361	1361	NUM
ejpam-4126	202	19	obtain	obtain	PROPN
ejpam-4126	202	20	gk(y3n	gk(y3n	PROPN
ejpam-4126	202	21	,	,	PUNCT
ejpam-4126	202	22	y3n	y3n	PROPN
ejpam-4126	202	23	,	,	PUNCT
ejpam-4126	202	24	y3n+1	y3n+1	NOUN
ejpam-4126	202	25	)	)	PUNCT
ejpam-4126	202	26	≤	≤	NOUN
ejpam-4126	202	27	kgk(y3n−1	kgk(y3n−1	PROPN
ejpam-4126	202	28	,	,	PUNCT
ejpam-4126	202	29	y3n	y3n	PROPN
ejpam-4126	202	30	,	,	PUNCT
ejpam-4126	202	31	y3n+1	y3n+1	PROPN
ejpam-4126	202	32	)	)	PUNCT
ejpam-4126	202	33	,	,	PUNCT
ejpam-4126	202	34	gk(y3n−1	gk(y3n−1	PROPN
ejpam-4126	202	35	,	,	PUNCT
ejpam-4126	202	36	y3n+1	y3n+1	PROPN
ejpam-4126	202	37	,	,	PUNCT
ejpam-4126	202	38	y3n+1	y3n+1	PROPN
ejpam-4126	202	39	)	)	PUNCT
ejpam-4126	202	40	≤	≤	NOUN
ejpam-4126	202	41	kgk(y3n−1	kgk(y3n−1	PROPN
ejpam-4126	202	42	,	,	PUNCT
ejpam-4126	202	43	y3n	y3n	PROPN
ejpam-4126	202	44	,	,	PUNCT
ejpam-4126	202	45	y3n+1	y3n+1	PROPN
ejpam-4126	202	46	)	)	PUNCT
ejpam-4126	202	47	,	,	PUNCT
ejpam-4126	202	48	gk(y3n−1	gk(y3n−1	PROPN
ejpam-4126	202	49	,	,	PUNCT
ejpam-4126	202	50	y3n	y3n	PROPN
ejpam-4126	202	51	,	,	PUNCT
ejpam-4126	202	52	y3n+2	y3n+2	PROPN
ejpam-4126	202	53	)	)	PUNCT
ejpam-4126	202	54	≤	≤	NOUN
ejpam-4126	203	1	skgk(y3n−1	skgk(y3n−1	PROPN
ejpam-4126	203	2	,	,	PUNCT
ejpam-4126	203	3	y3n	y3n	PROPN
ejpam-4126	203	4	,	,	PUNCT
ejpam-4126	203	5	y3n+1	y3n+1	NOUN
ejpam-4126	203	6	)	)	PUNCT
ejpam-4126	203	7	+	+	CCONJ
ejpam-4126	204	1	skgk(y3n	skgk(y3n	PROPN
ejpam-4126	204	2	,	,	PUNCT
ejpam-4126	204	3	y3n+1	y3n+1	PROPN
ejpam-4126	204	4	,	,	PUNCT
ejpam-4126	204	5	y3n+2	y3n+2	PROPN
ejpam-4126	204	6	)	)	PUNCT
ejpam-4126	204	7	,	,	PUNCT
ejpam-4126	204	8	gk(y3n−1	gk(y3n−1	PROPN
ejpam-4126	204	9	,	,	PUNCT
ejpam-4126	204	10	y3n+1	y3n+1	PROPN
ejpam-4126	204	11	,	,	PUNCT
ejpam-4126	204	12	y3n+2	y3n+2	PROPN
ejpam-4126	204	13	)	)	PUNCT
ejpam-4126	204	14	≤	≤	NOUN
ejpam-4126	205	1	skgk(y3n−1	skgk(y3n−1	PROPN
ejpam-4126	205	2	,	,	PUNCT
ejpam-4126	205	3	y3n	y3n	PROPN
ejpam-4126	205	4	,	,	PUNCT
ejpam-4126	205	5	y3n+1	y3n+1	NOUN
ejpam-4126	205	6	)	)	PUNCT
ejpam-4126	205	7	+	+	CCONJ
ejpam-4126	206	1	skgk(y3n	skgk(y3n	PROPN
ejpam-4126	206	2	,	,	PUNCT
ejpam-4126	206	3	y3n+1	y3n+1	PROPN
ejpam-4126	206	4	,	,	PUNCT
ejpam-4126	206	5	y3n+2	y3n+2	PROPN
ejpam-4126	206	6	)	)	PUNCT
ejpam-4126	206	7	,	,	PUNCT
ejpam-4126	206	8	gk(y3n	gk(y3n	PROPN
ejpam-4126	206	9	,	,	PUNCT
ejpam-4126	206	10	y3n	y3n	PROPN
ejpam-4126	206	11	,	,	PUNCT
ejpam-4126	206	12	y3n+2	y3n+2	PROPN
ejpam-4126	206	13	)	)	PUNCT
ejpam-4126	206	14	≤	≤	PROPN
ejpam-4126	207	1	kgk(y3n	kgk(y3n	PROPN
ejpam-4126	207	2	,	,	PUNCT
ejpam-4126	207	3	y3n+1	y3n+1	PROPN
ejpam-4126	207	4	,	,	PUNCT
ejpam-4126	207	5	y3n+2	y3n+2	PROPN
ejpam-4126	207	6	)	)	PUNCT
ejpam-4126	207	7	,	,	PUNCT
ejpam-4126	207	8	gk(y3n	gk(y3n	PROPN
ejpam-4126	207	9	,	,	PUNCT
ejpam-4126	207	10	y3n+1	y3n+1	PROPN
ejpam-4126	207	11	,	,	PUNCT
ejpam-4126	207	12	y3n+1	y3n+1	PROPN
ejpam-4126	207	13	)	)	PUNCT
ejpam-4126	207	14	≤	≤	NOUN
ejpam-4126	207	15	kgk(y3n−1	kgk(y3n−1	PROPN
ejpam-4126	207	16	,	,	PUNCT
ejpam-4126	207	17	y3n	y3n	PROPN
ejpam-4126	207	18	,	,	PUNCT
ejpam-4126	207	19	y3n+1	y3n+1	PROPN
ejpam-4126	207	20	)	)	PUNCT
ejpam-4126	207	21	,	,	PUNCT
ejpam-4126	207	22	gk(y3n	gk(y3n	PROPN
ejpam-4126	207	23	,	,	PUNCT
ejpam-4126	207	24	y3n	y3n	PROPN
ejpam-4126	207	25	,	,	PUNCT
ejpam-4126	207	26	y3n−1	y3n−1	PROPN
ejpam-4126	207	27	)	)	PUNCT
ejpam-4126	207	28	≤	≤	NOUN
ejpam-4126	207	29	kgk(y3n−1	kgk(y3n−1	PROPN
ejpam-4126	207	30	,	,	PUNCT
ejpam-4126	207	31	y3n	y3n	PROPN
ejpam-4126	207	32	,	,	PUNCT
ejpam-4126	207	33	y3n+1	y3n+1	NOUN
ejpam-4126	207	34	)	)	PUNCT
ejpam-4126	207	35	,	,	PUNCT
ejpam-4126	207	36	gk(y3n+1	gk(y3n+1	NOUN
ejpam-4126	207	37	,	,	PUNCT
ejpam-4126	207	38	y3n+1	y3n+1	PROPN
ejpam-4126	207	39	,	,	PUNCT
ejpam-4126	207	40	y3n	y3n	PROPN
ejpam-4126	207	41	)	)	PUNCT
ejpam-4126	207	42	≤	≤	PUNCT
ejpam-4126	207	43	kgk(y3n	kgk(y3n	PROPN
ejpam-4126	207	44	,	,	PUNCT
ejpam-4126	207	45	y3n+1	y3n+1	PROPN
ejpam-4126	207	46	,	,	PUNCT
ejpam-4126	207	47	y3n+2	y3n+2	PROPN
ejpam-4126	207	48	)	)	PUNCT
ejpam-4126	207	49	,	,	PUNCT
ejpam-4126	207	50	gk(y3n+2	gk(y3n+2	PROPN
ejpam-4126	207	51	,	,	PUNCT
ejpam-4126	207	52	y3n+2	y3n+2	PROPN
ejpam-4126	207	53	,	,	PUNCT
ejpam-4126	207	54	y3n+1	y3n+1	PROPN
ejpam-4126	207	55	)	)	PUNCT
ejpam-4126	207	56	≤	≤	PUNCT
ejpam-4126	207	57	kgk(y3n	kgk(y3n	PROPN
ejpam-4126	207	58	,	,	PUNCT
ejpam-4126	207	59	y3n+1	y3n+1	PROPN
ejpam-4126	207	60	,	,	PUNCT
ejpam-4126	207	61	y3n+2	y3n+2	PROPN
ejpam-4126	207	62	)	)	PUNCT
ejpam-4126	207	63	,	,	PUNCT
ejpam-4126	207	64	gk(y3n	gk(y3n	PROPN
ejpam-4126	207	65	,	,	PUNCT
ejpam-4126	207	66	y3n−1	y3n−1	PROPN
ejpam-4126	207	67	,	,	PUNCT
ejpam-4126	207	68	y3n−1	y3n−1	PROPN
ejpam-4126	207	69	)	)	PUNCT
ejpam-4126	207	70	≤	≤	NOUN
ejpam-4126	207	71	kgk(y3n−1	kgk(y3n−1	PROPN
ejpam-4126	207	72	,	,	PUNCT
ejpam-4126	207	73	y3n	y3n	PROPN
ejpam-4126	207	74	,	,	PUNCT
ejpam-4126	207	75	y3n+1	y3n+1	NOUN
ejpam-4126	207	76	)	)	PUNCT
ejpam-4126	207	77	,	,	PUNCT
ejpam-4126	207	78	gk(y3n+1	gk(y3n+1	NOUN
ejpam-4126	207	79	,	,	PUNCT
ejpam-4126	207	80	y3n	y3n	PROPN
ejpam-4126	207	81	,	,	PUNCT
ejpam-4126	207	82	y3n	y3n	PROPN
ejpam-4126	207	83	)	)	PUNCT
ejpam-4126	207	84	≤	≤	NOUN
ejpam-4126	207	85	kgk(y3n−1	kgk(y3n−1	PROPN
ejpam-4126	207	86	,	,	PUNCT
ejpam-4126	207	87	y3n	y3n	PROPN
ejpam-4126	207	88	,	,	PUNCT
ejpam-4126	207	89	y3n+1	y3n+1	PROPN
ejpam-4126	207	90	)	)	PUNCT
ejpam-4126	207	91	,	,	PUNCT
ejpam-4126	207	92	gk(y3n+2	gk(y3n+2	PROPN
ejpam-4126	207	93	,	,	PUNCT
ejpam-4126	207	94	y3n+1	y3n+1	PROPN
ejpam-4126	207	95	,	,	PUNCT
ejpam-4126	207	96	y3n+1	y3n+1	PROPN
ejpam-4126	207	97	)	)	PUNCT
ejpam-4126	207	98	≤	≤	PUNCT
ejpam-4126	207	99	kgk(y3n	kgk(y3n	PROPN
ejpam-4126	207	100	,	,	PUNCT
ejpam-4126	207	101	y3n+1	y3n+1	PROPN
ejpam-4126	207	102	,	,	PUNCT
ejpam-4126	207	103	y3n+2	y3n+2	PROPN
ejpam-4126	207	104	)	)	PUNCT
ejpam-4126	207	105	.	.	PUNCT
ejpam-4126	208	1	(	(	PUNCT
ejpam-4126	208	2	8)	8)	NUM
ejpam-4126	208	3	by	by	ADP
ejpam-4126	208	4	(	(	PUNCT
ejpam-4126	208	5	7	7	NUM
ejpam-4126	208	6	)	)	PUNCT
ejpam-4126	208	7	and	and	CCONJ
ejpam-4126	208	8	(	(	PUNCT
ejpam-4126	208	9	8)	8)	NUM
ejpam-4126	208	10	,	,	PUNCT
ejpam-4126	208	11	for	for	ADP
ejpam-4126	208	12	all	all	DET
ejpam-4126	208	13	n	n	PRON
ejpam-4126	208	14	∈	∈	PROPN
ejpam-4126	208	15	n	n	X
ejpam-4126	208	16	gk(y3n	gk(y3n	PROPN
ejpam-4126	208	17	,	,	PUNCT
ejpam-4126	208	18	y3n+1	y3n+1	PROPN
ejpam-4126	208	19	,	,	PUNCT
ejpam-4126	208	20	y3n+2	y3n+2	PROPN
ejpam-4126	208	21	)	)	PUNCT
ejpam-4126	208	22	≤	≤	NUM
ejpam-4126	208	23	αgk(y3n−1	αgk(y3n−1	NUM
ejpam-4126	208	24	,	,	PUNCT
ejpam-4126	208	25	y3n	y3n	PROPN
ejpam-4126	208	26	,	,	PUNCT
ejpam-4126	208	27	y3n+1	y3n+1	PROPN
ejpam-4126	208	28	)	)	PUNCT
ejpam-4126	208	29	,	,	PUNCT
ejpam-4126	208	30	(	(	PUNCT
ejpam-4126	208	31	9	9	X
ejpam-4126	208	32	)	)	PUNCT
ejpam-4126	208	33	where	where	SCONJ
ejpam-4126	208	34	α	α	NOUN
ejpam-4126	208	35	=	=	PUNCT
ejpam-4126	208	36	kλ	kλ	X
ejpam-4126	208	37	1−kλ	1−kλ	PROPN
ejpam-4126	208	38	∈	∈	PROPN
ejpam-4126	209	1	[	[	X
ejpam-4126	209	2	0	0	NUM
ejpam-4126	209	3	,	,	PUNCT
ejpam-4126	209	4	1	1	NUM
ejpam-4126	209	5	)	)	PUNCT
ejpam-4126	209	6	.	.	PUNCT
ejpam-4126	210	1	we	we	PRON
ejpam-4126	210	2	can	can	AUX
ejpam-4126	210	3	also	also	ADV
ejpam-4126	210	4	prove	prove	VERB
ejpam-4126	210	5	that	that	SCONJ
ejpam-4126	210	6	gk(y3n+1	gk(y3n+1	NOUN
ejpam-4126	210	7	,	,	PUNCT
ejpam-4126	210	8	y3n+2	y3n+2	PROPN
ejpam-4126	210	9	,	,	PUNCT
ejpam-4126	210	10	y3n+3	y3n+3	NOUN
ejpam-4126	210	11	)	)	PUNCT
ejpam-4126	210	12	≤	≤	NOUN
ejpam-4126	210	13	αgk(y3n	αgk(y3n	PROPN
ejpam-4126	210	14	,	,	PUNCT
ejpam-4126	210	15	y3n+1	y3n+1	PROPN
ejpam-4126	210	16	,	,	PUNCT
ejpam-4126	210	17	y3n+2	y3n+2	PROPN
ejpam-4126	210	18	)	)	PUNCT
ejpam-4126	210	19	(	(	PUNCT
ejpam-4126	210	20	10	10	NUM
ejpam-4126	210	21	)	)	PUNCT
ejpam-4126	210	22	and	and	CCONJ
ejpam-4126	210	23	gk(y3n+2	gk(y3n+2	PROPN
ejpam-4126	210	24	,	,	PUNCT
ejpam-4126	210	25	y3n+3	y3n+3	PROPN
ejpam-4126	210	26	,	,	PUNCT
ejpam-4126	210	27	y3n+4	y3n+4	PROPN
ejpam-4126	210	28	)	)	PUNCT
ejpam-4126	210	29	≤	≤	PROPN
ejpam-4126	210	30	αgk(y3n+1	αgk(y3n+1	PROPN
ejpam-4126	210	31	,	,	PUNCT
ejpam-4126	210	32	y3n+2	y3n+2	PROPN
ejpam-4126	210	33	,	,	PUNCT
ejpam-4126	210	34	y3n+3	y3n+3	NOUN
ejpam-4126	210	35	)	)	PUNCT
ejpam-4126	210	36	.	.	PUNCT
ejpam-4126	211	1	(	(	PUNCT
ejpam-4126	211	2	11	11	NUM
ejpam-4126	211	3	)	)	PUNCT
ejpam-4126	211	4	(	(	PUNCT
ejpam-4126	211	5	9	9	NUM
ejpam-4126	211	6	)	)	PUNCT
ejpam-4126	211	7	,	,	PUNCT
ejpam-4126	211	8	(	(	PUNCT
ejpam-4126	211	9	10	10	NUM
ejpam-4126	211	10	)	)	PUNCT
ejpam-4126	211	11	,	,	PUNCT
ejpam-4126	211	12	and	and	CCONJ
ejpam-4126	211	13	(	(	PUNCT
ejpam-4126	211	14	11	11	NUM
ejpam-4126	211	15	)	)	PUNCT
ejpam-4126	211	16	imply	imply	VERB
ejpam-4126	211	17	that	that	SCONJ
ejpam-4126	211	18	,	,	PUNCT
ejpam-4126	211	19	for	for	ADP
ejpam-4126	211	20	all	all	DET
ejpam-4126	211	21	n	n	PRON
ejpam-4126	211	22	∈	∈	PROPN
ejpam-4126	211	23	n	n	CCONJ
ejpam-4126	211	24	,	,	PUNCT
ejpam-4126	211	25	gk(yn	gk(yn	PROPN
ejpam-4126	211	26	,	,	PUNCT
ejpam-4126	211	27	yn+1	yn+1	PROPN
ejpam-4126	211	28	,	,	PUNCT
ejpam-4126	211	29	yn+2	yn+2	NUM
ejpam-4126	211	30	)	)	PUNCT
ejpam-4126	211	31	≤	≤	NOUN
ejpam-4126	211	32	αgk(yn−1	αgk(yn−1	PROPN
ejpam-4126	211	33	,	,	PUNCT
ejpam-4126	211	34	yn	yn	PROPN
ejpam-4126	211	35	,	,	PUNCT
ejpam-4126	211	36	yn+1	yn+1	PROPN
ejpam-4126	211	37	)	)	PUNCT
ejpam-4126	211	38	.	.	PUNCT
ejpam-4126	212	1	(	(	PUNCT
ejpam-4126	212	2	12	12	NUM
ejpam-4126	212	3	)	)	PUNCT
ejpam-4126	212	4	from	from	ADP
ejpam-4126	212	5	the	the	DET
ejpam-4126	212	6	inequality	inequality	NOUN
ejpam-4126	212	7	in	in	ADP
ejpam-4126	212	8	(	(	PUNCT
ejpam-4126	212	9	12	12	NUM
ejpam-4126	212	10	)	)	PUNCT
ejpam-4126	212	11	,	,	PUNCT
ejpam-4126	212	12	we	we	PRON
ejpam-4126	212	13	infer	infer	VERB
ejpam-4126	212	14	that	that	SCONJ
ejpam-4126	212	15	for	for	ADP
ejpam-4126	212	16	all	all	DET
ejpam-4126	212	17	n	n	PRON
ejpam-4126	212	18	∈	∈	PROPN
ejpam-4126	212	19	n	n	CCONJ
ejpam-4126	212	20	,	,	PUNCT
ejpam-4126	212	21	gk(yn	gk(yn	PROPN
ejpam-4126	212	22	,	,	PUNCT
ejpam-4126	212	23	yn+1	yn+1	PROPN
ejpam-4126	212	24	,	,	PUNCT
ejpam-4126	212	25	yn+2	yn+2	NUM
ejpam-4126	212	26	)	)	PUNCT
ejpam-4126	212	27	≤	≤	NOUN
ejpam-4126	213	1	αgk(yn−1	αgk(yn−1	PROPN
ejpam-4126	213	2	,	,	PUNCT
ejpam-4126	213	3	yn	yn	PROPN
ejpam-4126	213	4	,	,	PUNCT
ejpam-4126	213	5	yn+1	yn+1	X
ejpam-4126	213	6	)	)	PUNCT
ejpam-4126	213	7	≤	≤	NOUN
ejpam-4126	213	8	·	·	PUNCT
ejpam-4126	213	9	·	·	PUNCT
ejpam-4126	213	10	·	·	PUNCT
ejpam-4126	214	1	≤	≤	NUM
ejpam-4126	214	2	αngk(y0	αngk(y0	NOUN
ejpam-4126	214	3	,	,	PUNCT
ejpam-4126	214	4	y1	y1	NOUN
ejpam-4126	214	5	,	,	PUNCT
ejpam-4126	214	6	y2	y2	PROPN
ejpam-4126	214	7	)	)	PUNCT
ejpam-4126	214	8	.	.	PUNCT
ejpam-4126	215	1	(	(	PUNCT
ejpam-4126	215	2	13	13	NUM
ejpam-4126	215	3	)	)	PUNCT
ejpam-4126	215	4	hence	hence	ADV
ejpam-4126	215	5	for	for	ADP
ejpam-4126	215	6	each	each	DET
ejpam-4126	215	7	n	n	CCONJ
ejpam-4126	215	8	,	,	PUNCT
ejpam-4126	215	9	m	m	PROPN
ejpam-4126	215	10	,	,	PUNCT
ejpam-4126	215	11	l	l	PROPN
ejpam-4126	215	12	∈	∈	PROPN
ejpam-4126	215	13	n	n	X
ejpam-4126	215	14	with	with	ADP
ejpam-4126	215	15	l	l	PROPN
ejpam-4126	215	16	>	>	X
ejpam-4126	215	17	m	m	VERB
ejpam-4126	215	18	>	>	X
ejpam-4126	215	19	n	n	CCONJ
ejpam-4126	215	20	,	,	PUNCT
ejpam-4126	215	21	by	by	ADP
ejpam-4126	215	22	(	(	PUNCT
ejpam-4126	215	23	gbc5	gbc5	PROPN
ejpam-4126	215	24	)	)	PUNCT
ejpam-4126	215	25	,	,	PUNCT
ejpam-4126	215	26	(	(	PUNCT
ejpam-4126	215	27	gbc3	gbc3	PROPN
ejpam-4126	215	28	)	)	PUNCT
ejpam-4126	215	29	,	,	PUNCT
ejpam-4126	215	30	and	and	CCONJ
ejpam-4126	215	31	(	(	PUNCT
ejpam-4126	215	32	gbc4	gbc4	PROPN
ejpam-4126	215	33	)	)	PUNCT
ejpam-4126	215	34	,	,	PUNCT
ejpam-4126	215	35	we	we	PRON
ejpam-4126	215	36	have	have	VERB
ejpam-4126	215	37	g(yn	g(yn	PROPN
ejpam-4126	215	38	,	,	PUNCT
ejpam-4126	215	39	ym	ym	PROPN
ejpam-4126	215	40	,	,	PUNCT
ejpam-4126	215	41	yl	yl	NOUN
ejpam-4126	215	42	)	)	PUNCT
ejpam-4126	215	43	⪯	⪯	PROPN
ejpam-4126	215	44	sg(yn	sg(yn	PROPN
ejpam-4126	215	45	,	,	PUNCT
ejpam-4126	215	46	yn+1	yn+1	PROPN
ejpam-4126	215	47	,	,	PUNCT
ejpam-4126	215	48	yn+1	yn+1	X
ejpam-4126	215	49	)	)	PUNCT
ejpam-4126	216	1	+	+	CCONJ
ejpam-4126	216	2	s2g(yn+1	s2g(yn+1	ADJ
ejpam-4126	216	3	,	,	PUNCT
ejpam-4126	216	4	yn+2	yn+2	PROPN
ejpam-4126	216	5	,	,	PUNCT
ejpam-4126	216	6	yn+2	yn+2	NUM
ejpam-4126	216	7	)	)	PUNCT
ejpam-4126	217	1	+	+	CCONJ
ejpam-4126	217	2	·	·	PUNCT
ejpam-4126	217	3	·	·	PUNCT
ejpam-4126	217	4	·	·	PUNCT
ejpam-4126	217	5	+	+	NUM
ejpam-4126	217	6	sl−n	sl−n	ADJ
ejpam-4126	217	7	g(yl−1	g(yl−1	NOUN
ejpam-4126	217	8	,	,	PUNCT
ejpam-4126	217	9	yl	yl	NOUN
ejpam-4126	217	10	,	,	PUNCT
ejpam-4126	217	11	yl	yl	NOUN
ejpam-4126	217	12	)	)	PUNCT
ejpam-4126	217	13	⪯	⪯	NOUN
ejpam-4126	217	14	sg(yn	sg(yn	PROPN
ejpam-4126	217	15	,	,	PUNCT
ejpam-4126	217	16	yn+1	yn+1	PROPN
ejpam-4126	217	17	,	,	PUNCT
ejpam-4126	217	18	yn+2	yn+2	NUM
ejpam-4126	217	19	)	)	PUNCT
ejpam-4126	218	1	+	+	CCONJ
ejpam-4126	218	2	s2g(yn+1	s2g(yn+1	ADJ
ejpam-4126	218	3	,	,	PUNCT
ejpam-4126	218	4	yn+2	yn+2	NUM
ejpam-4126	218	5	,	,	PUNCT
ejpam-4126	218	6	yn+3	yn+3	ADP
ejpam-4126	218	7	)	)	PUNCT
ejpam-4126	219	1	+	+	CCONJ
ejpam-4126	219	2	·	·	PUNCT
ejpam-4126	219	3	·	·	PUNCT
ejpam-4126	219	4	·	·	PUNCT
ejpam-4126	219	5	+	+	NUM
ejpam-4126	219	6	sl−n	sl−n	ADJ
ejpam-4126	219	7	g(yl−1	g(yl−1	NOUN
ejpam-4126	219	8	,	,	PUNCT
ejpam-4126	219	9	yl	yl	NOUN
ejpam-4126	219	10	,	,	PUNCT
ejpam-4126	219	11	yl+1	yl+1	NOUN
ejpam-4126	219	12	)	)	PUNCT
ejpam-4126	219	13	.	.	PUNCT
ejpam-4126	220	1	by	by	ADP
ejpam-4126	220	2	the	the	DET
ejpam-4126	220	3	normality	normality	NOUN
ejpam-4126	220	4	of	of	ADP
ejpam-4126	220	5	the	the	DET
ejpam-4126	220	6	cone	cone	NOUN
ejpam-4126	220	7	,	,	PUNCT
ejpam-4126	220	8	equation	equation	NOUN
ejpam-4126	220	9	(	(	PUNCT
ejpam-4126	220	10	13	13	NUM
ejpam-4126	220	11	)	)	PUNCT
ejpam-4126	220	12	,	,	PUNCT
ejpam-4126	220	13	and	and	CCONJ
ejpam-4126	220	14	since	since	SCONJ
ejpam-4126	220	15	∥.∥	∥.∥	PUNCT
ejpam-4126	220	16	satisfies	satisfy	VERB
ejpam-4126	220	17	the	the	DET
ejpam-4126	220	18	triangle	triangle	NOUN
ejpam-4126	220	19	inequality	inequality	NOUN
ejpam-4126	220	20	,	,	PUNCT
ejpam-4126	220	21	we	we	PRON
ejpam-4126	220	22	find	find	VERB
ejpam-4126	220	23	gk(yn	gk(yn	NOUN
ejpam-4126	220	24	,	,	PUNCT
ejpam-4126	220	25	ym	ym	PROPN
ejpam-4126	220	26	,	,	PUNCT
ejpam-4126	220	27	yl	yl	NOUN
ejpam-4126	220	28	)	)	PUNCT
ejpam-4126	220	29	≤	≤	NOUN
ejpam-4126	221	1	k(sgk(yn	k(sgk(yn	NOUN
ejpam-4126	221	2	,	,	PUNCT
ejpam-4126	221	3	yn+1	yn+1	PROPN
ejpam-4126	221	4	,	,	PUNCT
ejpam-4126	221	5	yn+2	yn+2	NUM
ejpam-4126	221	6	)	)	PUNCT
ejpam-4126	221	7	+	+	CCONJ
ejpam-4126	221	8	s2gk(yn+1	s2gk(yn+1	ADJ
ejpam-4126	221	9	,	,	PUNCT
ejpam-4126	221	10	yn+2	yn+2	PROPN
ejpam-4126	221	11	,	,	PUNCT
ejpam-4126	221	12	yn+3	yn+3	ADP
ejpam-4126	221	13	)	)	PUNCT
ejpam-4126	221	14	+	+	CCONJ
ejpam-4126	221	15	·	·	PUNCT
ejpam-4126	221	16	·	·	PUNCT
ejpam-4126	221	17	·	·	PUNCT
ejpam-4126	221	18	+	+	NUM
ejpam-4126	221	19	sl−n	sl−n	ADJ
ejpam-4126	221	20	gk(yl−1	gk(yl−1	NOUN
ejpam-4126	221	21	,	,	PUNCT
ejpam-4126	221	22	yl	yl	NOUN
ejpam-4126	221	23	,	,	PUNCT
ejpam-4126	221	24	yl+1	yl+1	NOUN
ejpam-4126	221	25	)	)	PUNCT
ejpam-4126	221	26	≤	≤	NUM
ejpam-4126	221	27	k(sαngk(y0	k(sαngk(y0	NOUN
ejpam-4126	221	28	,	,	PUNCT
ejpam-4126	221	29	y1	y1	NOUN
ejpam-4126	221	30	,	,	PUNCT
ejpam-4126	221	31	y2	y2	PROPN
ejpam-4126	221	32	)	)	PUNCT
ejpam-4126	222	1	+	+	CCONJ
ejpam-4126	222	2	s2αn+1gk(y0	s2αn+1gk(y0	PROPN
ejpam-4126	222	3	,	,	PUNCT
ejpam-4126	222	4	y1	y1	NOUN
ejpam-4126	222	5	,	,	PUNCT
ejpam-4126	222	6	y2	y2	PROPN
ejpam-4126	222	7	)	)	PUNCT
ejpam-4126	223	1	+	+	CCONJ
ejpam-4126	223	2	·	·	PUNCT
ejpam-4126	223	3	·	·	PUNCT
ejpam-4126	223	4	·	·	PUNCT
ejpam-4126	223	5	+	+	NUM
ejpam-4126	223	6	sl−nαl−1	sl−nαl−1	PROPN
ejpam-4126	223	7	gk(y0	gk(y0	NOUN
ejpam-4126	223	8	,	,	PUNCT
ejpam-4126	223	9	y1	y1	NOUN
ejpam-4126	223	10	,	,	PUNCT
ejpam-4126	223	11	y2	y2	NOUN
ejpam-4126	223	12	)	)	PUNCT
ejpam-4126	224	1	=	=	SYM
ejpam-4126	224	2	ksαngk(y0	ksαngk(y0	PROPN
ejpam-4126	224	3	,	,	PUNCT
ejpam-4126	224	4	y1	y1	PROPN
ejpam-4126	224	5	,	,	PUNCT
ejpam-4126	224	6	y2)(1	y2)(1	PRON
ejpam-4126	224	7	+	+	CCONJ
ejpam-4126	224	8	sα+	sα+	NOUN
ejpam-4126	224	9	·	·	PUNCT
ejpam-4126	224	10	·	·	PUNCT
ejpam-4126	224	11	·	·	PUNCT
ejpam-4126	225	1	+	+	CCONJ
ejpam-4126	225	2	(	(	PUNCT
ejpam-4126	225	3	sα)l−n−1	sα)l−n−1	NOUN
ejpam-4126	225	4	)	)	PUNCT
ejpam-4126	225	5	≤	≤	NOUN
ejpam-4126	225	6	ksαn	ksαn	NOUN
ejpam-4126	225	7	1−sαgk(y0	1−sαgk(y0	NUM
ejpam-4126	225	8	,	,	PUNCT
ejpam-4126	225	9	y1	y1	NOUN
ejpam-4126	225	10	,	,	PUNCT
ejpam-4126	225	11	y2	y2	PROPN
ejpam-4126	225	12	)	)	PUNCT
ejpam-4126	225	13	→	→	SYM
ejpam-4126	225	14	0	0	NUM
ejpam-4126	225	15	,	,	PUNCT
ejpam-4126	225	16	as	as	ADP
ejpam-4126	225	17	n	n	PROPN
ejpam-4126	225	18	→	→	SYM
ejpam-4126	225	19	+	+	PROPN
ejpam-4126	225	20	∞	∞	PROPN
ejpam-4126	225	21	,	,	PUNCT
ejpam-4126	225	22	s.	s.	PROPN
ejpam-4126	225	23	benchabane	benchabane	PROPN
ejpam-4126	225	24	,	,	PUNCT
ejpam-4126	225	25	s.	s.	PROPN
ejpam-4126	225	26	djebali	djebali	PROPN
ejpam-4126	225	27	/	/	SYM
ejpam-4126	225	28	eur	eur	PROPN
ejpam-4126	225	29	.	.	PUNCT
ejpam-4126	226	1	j.	j.	PROPN
ejpam-4126	226	2	pure	pure	PROPN
ejpam-4126	226	3	appl	appl	PROPN
ejpam-4126	226	4	.	.	PROPN
ejpam-4126	226	5	math	math	PROPN
ejpam-4126	226	6	,	,	PUNCT
ejpam-4126	226	7	14	14	NUM
ejpam-4126	226	8	(	(	PUNCT
ejpam-4126	226	9	4	4	NUM
ejpam-4126	226	10	)	)	PUNCT
ejpam-4126	226	11	(	(	PUNCT
ejpam-4126	226	12	2021	2021	NUM
ejpam-4126	226	13	)	)	PUNCT
ejpam-4126	226	14	,	,	PUNCT
ejpam-4126	226	15	1350	1350	NUM
ejpam-4126	226	16	-	-	SYM
ejpam-4126	226	17	1366	1366	NUM
ejpam-4126	226	18	1362	1362	NUM
ejpam-4126	226	19	which	which	PRON
ejpam-4126	226	20	implies	imply	VERB
ejpam-4126	226	21	that	that	SCONJ
ejpam-4126	226	22	g(yn	g(yn	PROPN
ejpam-4126	226	23	,	,	PUNCT
ejpam-4126	226	24	ym	ym	PROPN
ejpam-4126	226	25	,	,	PUNCT
ejpam-4126	226	26	yl	yl	NOUN
ejpam-4126	226	27	)	)	PUNCT
ejpam-4126	226	28	→	→	SYM
ejpam-4126	226	29	θ	θ	PROPN
ejpam-4126	226	30	,	,	PUNCT
ejpam-4126	226	31	as	as	ADP
ejpam-4126	226	32	n	n	CCONJ
ejpam-4126	226	33	,	,	PUNCT
ejpam-4126	226	34	m	m	PROPN
ejpam-4126	226	35	,	,	PUNCT
ejpam-4126	226	36	l	l	PROPN
ejpam-4126	226	37	→	→	PUNCT
ejpam-4126	226	38	+	+	ADJ
ejpam-4126	226	39	∞.	∞.	PROPN
ejpam-4126	226	40	proposition	proposition	NOUN
ejpam-4126	226	41	3	3	NUM
ejpam-4126	226	42	implies	imply	VERB
ejpam-4126	226	43	that	that	SCONJ
ejpam-4126	226	44	(	(	PUNCT
ejpam-4126	226	45	yn	yn	NOUN
ejpam-4126	226	46	)	)	PUNCT
ejpam-4126	226	47	is	be	AUX
ejpam-4126	226	48	a	a	DET
ejpam-4126	226	49	gb	gb	NOUN
ejpam-4126	226	50	-	-	PUNCT
ejpam-4126	226	51	cauchy	cauchy	ADJ
ejpam-4126	226	52	sequence	sequence	NOUN
ejpam-4126	226	53	in	in	ADP
ejpam-4126	226	54	f(x	f(x	PROPN
ejpam-4126	226	55	)	)	PUNCT
ejpam-4126	226	56	.	.	PUNCT
ejpam-4126	227	1	since	since	SCONJ
ejpam-4126	227	2	f(x	f(x	PROPN
ejpam-4126	227	3	)	)	PUNCT
ejpam-4126	227	4	is	be	AUX
ejpam-4126	227	5	gb	gb	ADV
ejpam-4126	227	6	-	-	PUNCT
ejpam-4126	227	7	complete	complete	ADJ
ejpam-4126	227	8	subspace	subspace	NOUN
ejpam-4126	227	9	of	of	ADP
ejpam-4126	227	10	x	x	PRON
ejpam-4126	227	11	,	,	PUNCT
ejpam-4126	227	12	there	there	PRON
ejpam-4126	227	13	exists	exist	VERB
ejpam-4126	227	14	a	a	DET
ejpam-4126	227	15	point	point	NOUN
ejpam-4126	227	16	v	v	NOUN
ejpam-4126	227	17	in	in	ADP
ejpam-4126	227	18	f(x	f(x	PROPN
ejpam-4126	227	19	)	)	PUNCT
ejpam-4126	227	20	such	such	ADJ
ejpam-4126	227	21	that	that	SCONJ
ejpam-4126	227	22	f(xn	f(xn	NOUN
ejpam-4126	227	23	)	)	PUNCT
ejpam-4126	227	24	→	→	SYM
ejpam-4126	227	25	v	v	NOUN
ejpam-4126	227	26	as	as	ADP
ejpam-4126	227	27	n	n	PROPN
ejpam-4126	227	28	→	→	PUNCT
ejpam-4126	227	29	+	+	PROPN
ejpam-4126	227	30	∞.	∞.	PROPN
ejpam-4126	227	31	consequently	consequently	ADV
ejpam-4126	227	32	,	,	PUNCT
ejpam-4126	227	33	there	there	PRON
ejpam-4126	227	34	is	be	VERB
ejpam-4126	227	35	some	some	DET
ejpam-4126	227	36	u	u	NOUN
ejpam-4126	227	37	∈	∈	PROPN
ejpam-4126	227	38	x	x	PUNCT
ejpam-4126	227	39	such	such	ADJ
ejpam-4126	227	40	that	that	DET
ejpam-4126	227	41	fu	fu	NOUN
ejpam-4126	228	1	=	=	NOUN
ejpam-4126	229	1	v.	v.	CCONJ
ejpam-4126	229	2	since	since	SCONJ
ejpam-4126	229	3	the	the	DET
ejpam-4126	229	4	sequences	sequence	NOUN
ejpam-4126	229	5	(	(	PUNCT
ejpam-4126	229	6	fx3n+1	fx3n+1	NOUN
ejpam-4126	229	7	)	)	PUNCT
ejpam-4126	229	8	=	=	SYM
ejpam-4126	229	9	(	(	PUNCT
ejpam-4126	229	10	fx3n	fx3n	PROPN
ejpam-4126	229	11	)	)	PUNCT
ejpam-4126	229	12	,	,	PUNCT
ejpam-4126	229	13	(	(	PUNCT
ejpam-4126	229	14	fx3n+2	fx3n+2	NOUN
ejpam-4126	229	15	)	)	PUNCT
ejpam-4126	229	16	=	=	PUNCT
ejpam-4126	229	17	(	(	PUNCT
ejpam-4126	229	18	tx3n+1	tx3n+1	PROPN
ejpam-4126	229	19	)	)	PUNCT
ejpam-4126	229	20	,	,	PUNCT
ejpam-4126	229	21	and	and	CCONJ
ejpam-4126	229	22	(	(	PUNCT
ejpam-4126	229	23	fx3n+3	fx3n+3	PROPN
ejpam-4126	229	24	)	)	PUNCT
ejpam-4126	229	25	=	=	SYM
ejpam-4126	229	26	(	(	PUNCT
ejpam-4126	229	27	rx3n+2	rx3n+2	NOUN
ejpam-4126	229	28	)	)	PUNCT
ejpam-4126	229	29	are	be	AUX
ejpam-4126	229	30	subsequences	subsequence	NOUN
ejpam-4126	229	31	of	of	ADP
ejpam-4126	229	32	(	(	PUNCT
ejpam-4126	229	33	yn	yn	PROPN
ejpam-4126	229	34	)	)	PUNCT
ejpam-4126	229	35	,	,	PUNCT
ejpam-4126	229	36	they	they	PRON
ejpam-4126	229	37	converge	converge	VERB
ejpam-4126	229	38	to	to	ADP
ejpam-4126	229	39	the	the	DET
ejpam-4126	229	40	same	same	ADJ
ejpam-4126	229	41	limit	limit	NOUN
ejpam-4126	229	42	v.	v.	CCONJ
ejpam-4126	229	43	we	we	PRON
ejpam-4126	229	44	show	show	VERB
ejpam-4126	229	45	that	that	SCONJ
ejpam-4126	229	46	fu	fu	NOUN
ejpam-4126	229	47	=	=	PUNCT
ejpam-4126	229	48	fu	fu	PROPN
ejpam-4126	229	49	.	.	PUNCT
ejpam-4126	230	1	by	by	ADP
ejpam-4126	230	2	normality	normality	NOUN
ejpam-4126	230	3	of	of	ADP
ejpam-4126	230	4	the	the	DET
ejpam-4126	230	5	cone	cone	NOUN
ejpam-4126	230	6	,	,	PUNCT
ejpam-4126	230	7	equation	equation	NOUN
ejpam-4126	230	8	(	(	PUNCT
ejpam-4126	230	9	6	6	NUM
ejpam-4126	230	10	)	)	PUNCT
ejpam-4126	230	11	,	,	PUNCT
ejpam-4126	230	12	and	and	CCONJ
ejpam-4126	230	13	since	since	SCONJ
ejpam-4126	230	14	∥.∥	∥.∥	PUNCT
ejpam-4126	230	15	satisfies	satisfy	VERB
ejpam-4126	230	16	the	the	DET
ejpam-4126	230	17	triangle	triangle	NOUN
ejpam-4126	230	18	inequality	inequality	NOUN
ejpam-4126	230	19	,	,	PUNCT
ejpam-4126	230	20	for	for	ADP
ejpam-4126	230	21	all	all	DET
ejpam-4126	230	22	n	n	DET
ejpam-4126	230	23	∈	∈	PROPN
ejpam-4126	230	24	n	n	CCONJ
ejpam-4126	230	25	,	,	PUNCT
ejpam-4126	230	26	we	we	PRON
ejpam-4126	230	27	have	have	AUX
ejpam-4126	230	28	gk(fu	gk(fu	PROPN
ejpam-4126	230	29	,	,	PUNCT
ejpam-4126	230	30	y3n+1	y3n+1	PROPN
ejpam-4126	230	31	,	,	PUNCT
ejpam-4126	230	32	y3n+2	y3n+2	PROPN
ejpam-4126	230	33	)	)	PUNCT
ejpam-4126	230	34	=	=	SYM
ejpam-4126	230	35	gk(fu	gk(fu	PROPN
ejpam-4126	230	36	,	,	PUNCT
ejpam-4126	230	37	tx3n+1	tx3n+1	PROPN
ejpam-4126	230	38	,	,	PUNCT
ejpam-4126	230	39	rx3n+2	rx3n+2	NOUN
ejpam-4126	230	40	)	)	PUNCT
ejpam-4126	230	41	≤	≤	NUM
ejpam-4126	231	1	λ	λ	X
ejpam-4126	231	2	smk(u	smk(u	PROPN
ejpam-4126	231	3	,	,	PUNCT
ejpam-4126	231	4	x3n+1	x3n+1	PROPN
ejpam-4126	231	5	,	,	PUNCT
ejpam-4126	231	6	x3n+2	x3n+2	X
ejpam-4126	231	7	)	)	PUNCT
ejpam-4126	232	1	+	+	CCONJ
ejpam-4126	232	2	l	l	PROPN
ejpam-4126	232	3	snk(u	snk(u	PROPN
ejpam-4126	232	4	,	,	PUNCT
ejpam-4126	232	5	x3n+1	x3n+1	PROPN
ejpam-4126	232	6	,	,	PUNCT
ejpam-4126	232	7	x3n+2	x3n+2	PROPN
ejpam-4126	232	8	)	)	PUNCT
ejpam-4126	232	9	,	,	PUNCT
ejpam-4126	232	10	(	(	PUNCT
ejpam-4126	232	11	14	14	NUM
ejpam-4126	232	12	)	)	PUNCT
ejpam-4126	232	13	where	where	SCONJ
ejpam-4126	232	14	mk(u	mk(u	PUNCT
ejpam-4126	232	15	,	,	PUNCT
ejpam-4126	232	16	x3n+1	x3n+1	PROPN
ejpam-4126	232	17	,	,	PUNCT
ejpam-4126	232	18	x3n+2	x3n+2	X
ejpam-4126	232	19	)	)	PUNCT
ejpam-4126	232	20	=	=	SYM
ejpam-4126	232	21	max{gk(fu	max{gk(fu	PROPN
ejpam-4126	232	22	,	,	PUNCT
ejpam-4126	232	23	fx3n+1	fx3n+1	ADJ
ejpam-4126	232	24	,	,	PUNCT
ejpam-4126	232	25	fx3n+2	fx3n+2	NOUN
ejpam-4126	232	26	)	)	PUNCT
ejpam-4126	232	27	,	,	PUNCT
ejpam-4126	232	28	gk(fu	gk(fu	PROPN
ejpam-4126	232	29	,	,	PUNCT
ejpam-4126	232	30	fx3n+1	fx3n+1	PROPN
ejpam-4126	232	31	,	,	PUNCT
ejpam-4126	232	32	fx3n+2	fx3n+2	NOUN
ejpam-4126	232	33	)	)	PUNCT
ejpam-4126	232	34	,	,	PUNCT
ejpam-4126	232	35	gk(fu	gk(fu	PROPN
ejpam-4126	232	36	,	,	PUNCT
ejpam-4126	232	37	tx3n+1	tx3n+1	PROPN
ejpam-4126	232	38	,	,	PUNCT
ejpam-4126	232	39	fx3n+2	fx3n+2	NOUN
ejpam-4126	232	40	)	)	PUNCT
ejpam-4126	232	41	,	,	PUNCT
ejpam-4126	232	42	gk(fu	gk(fu	PROPN
ejpam-4126	232	43	,	,	PUNCT
ejpam-4126	232	44	fx3n+1	fx3n+1	NOUN
ejpam-4126	232	45	,	,	PUNCT
ejpam-4126	232	46	rx3n+2	rx3n+2	NOUN
ejpam-4126	232	47	)	)	PUNCT
ejpam-4126	232	48	,	,	PUNCT
ejpam-4126	232	49	gk(fu	gk(fu	PROPN
ejpam-4126	232	50	,	,	PUNCT
ejpam-4126	232	51	tx3n+1	tx3n+1	PROPN
ejpam-4126	232	52	,	,	PUNCT
ejpam-4126	232	53	rx3n+2	rx3n+2	NUM
ejpam-4126	232	54	)	)	PUNCT
ejpam-4126	232	55	,	,	PUNCT
ejpam-4126	232	56	gk(fu	gk(fu	PROPN
ejpam-4126	232	57	,	,	PUNCT
ejpam-4126	232	58	fx3n+1	fx3n+1	NOUN
ejpam-4126	232	59	,	,	PUNCT
ejpam-4126	232	60	rx3n+2	rx3n+2	NOUN
ejpam-4126	232	61	)	)	PUNCT
ejpam-4126	232	62	,	,	PUNCT
ejpam-4126	232	63	gk(fu	gk(fu	PROPN
ejpam-4126	232	64	,	,	PUNCT
ejpam-4126	232	65	tx3n+1	tx3n+1	PROPN
ejpam-4126	232	66	,	,	PUNCT
ejpam-4126	232	67	fx3n+2	fx3n+2	NOUN
ejpam-4126	232	68	)	)	PUNCT
ejpam-4126	232	69	,	,	PUNCT
ejpam-4126	232	70	gk(fu	gk(fu	PROPN
ejpam-4126	232	71	,	,	PUNCT
ejpam-4126	232	72	fu	fu	NOUN
ejpam-4126	232	73	,	,	PUNCT
ejpam-4126	232	74	fu	fu	NOUN
ejpam-4126	232	75	)	)	PUNCT
ejpam-4126	232	76	,	,	PUNCT
ejpam-4126	232	77	gk(tx3n+1	gk(tx3n+1	PROPN
ejpam-4126	232	78	,	,	PUNCT
ejpam-4126	232	79	tx3n+1	tx3n+1	PROPN
ejpam-4126	232	80	,	,	PUNCT
ejpam-4126	232	81	fx3n+1	fx3n+1	NOUN
ejpam-4126	232	82	)	)	PUNCT
ejpam-4126	232	83	,	,	PUNCT
ejpam-4126	232	84	gk(rx3n+2	gk(rx3n+2	NOUN
ejpam-4126	232	85	,	,	PUNCT
ejpam-4126	232	86	rx3n+2	rx3n+2	PROPN
ejpam-4126	232	87	,	,	PUNCT
ejpam-4126	232	88	fx3n+2	fx3n+2	NOUN
ejpam-4126	232	89	)	)	PUNCT
ejpam-4126	232	90	,	,	PUNCT
ejpam-4126	232	91	gk(fu	gk(fu	PROPN
ejpam-4126	232	92	,	,	PUNCT
ejpam-4126	232	93	fu	fu	NOUN
ejpam-4126	232	94	,	,	PUNCT
ejpam-4126	232	95	fu	fu	NOUN
ejpam-4126	232	96	)	)	PUNCT
ejpam-4126	232	97	,	,	PUNCT
ejpam-4126	232	98	gk(tx3n+1	gk(tx3n+1	PROPN
ejpam-4126	232	99	,	,	PUNCT
ejpam-4126	232	100	fx3n+1	fx3n+1	ADJ
ejpam-4126	232	101	,	,	PUNCT
ejpam-4126	232	102	fx3n+1	fx3n+1	NOUN
ejpam-4126	232	103	)	)	PUNCT
ejpam-4126	232	104	,	,	PUNCT
ejpam-4126	232	105	gk(rx3n+2	gk(rx3n+2	PROPN
ejpam-4126	232	106	,	,	PUNCT
ejpam-4126	232	107	fx3n+2	fx3n+2	PROPN
ejpam-4126	232	108	,	,	PUNCT
ejpam-4126	232	109	fx3n+2	fx3n+2	NOUN
ejpam-4126	232	110	)	)	PUNCT
ejpam-4126	232	111	}	}	PUNCT
ejpam-4126	232	112	=	=	SYM
ejpam-4126	232	113	max{gk(fu	max{gk(fu	NOUN
ejpam-4126	232	114	,	,	PUNCT
ejpam-4126	232	115	y3n	y3n	PROPN
ejpam-4126	232	116	,	,	PUNCT
ejpam-4126	232	117	y3n+1	y3n+1	PROPN
ejpam-4126	232	118	)	)	PUNCT
ejpam-4126	232	119	,	,	PUNCT
ejpam-4126	232	120	gk(fu	gk(fu	PROPN
ejpam-4126	232	121	,	,	PUNCT
ejpam-4126	232	122	y3n	y3n	PROPN
ejpam-4126	232	123	,	,	PUNCT
ejpam-4126	232	124	y3n+1	y3n+1	PROPN
ejpam-4126	232	125	)	)	PUNCT
ejpam-4126	232	126	,	,	PUNCT
ejpam-4126	232	127	gk(fu	gk(fu	PROPN
ejpam-4126	232	128	,	,	PUNCT
ejpam-4126	232	129	y3n+1	y3n+1	PROPN
ejpam-4126	232	130	,	,	PUNCT
ejpam-4126	232	131	y3n+1	y3n+1	PROPN
ejpam-4126	232	132	)	)	PUNCT
ejpam-4126	232	133	,	,	PUNCT
ejpam-4126	232	134	gk(fu	gk(fu	PROPN
ejpam-4126	232	135	,	,	PUNCT
ejpam-4126	232	136	y3n	y3n	PROPN
ejpam-4126	232	137	,	,	PUNCT
ejpam-4126	232	138	y3n+2	y3n+2	PROPN
ejpam-4126	232	139	)	)	PUNCT
ejpam-4126	232	140	,	,	PUNCT
ejpam-4126	232	141	gk(fu	gk(fu	PROPN
ejpam-4126	232	142	,	,	PUNCT
ejpam-4126	232	143	y3n+1	y3n+1	PROPN
ejpam-4126	232	144	,	,	PUNCT
ejpam-4126	232	145	y3n+2	y3n+2	PROPN
ejpam-4126	232	146	)	)	PUNCT
ejpam-4126	232	147	,	,	PUNCT
ejpam-4126	232	148	gk(fu	gk(fu	PROPN
ejpam-4126	232	149	,	,	PUNCT
ejpam-4126	232	150	y3n	y3n	PROPN
ejpam-4126	232	151	,	,	PUNCT
ejpam-4126	232	152	y3n+2	y3n+2	PROPN
ejpam-4126	232	153	)	)	PUNCT
ejpam-4126	232	154	,	,	PUNCT
ejpam-4126	232	155	gk(fu	gk(fu	PROPN
ejpam-4126	232	156	,	,	PUNCT
ejpam-4126	232	157	y3n+1	y3n+1	PROPN
ejpam-4126	232	158	,	,	PUNCT
ejpam-4126	232	159	y3n+1	y3n+1	PROPN
ejpam-4126	232	160	)	)	PUNCT
ejpam-4126	232	161	,	,	PUNCT
ejpam-4126	232	162	gk(fu	gk(fu	PROPN
ejpam-4126	232	163	,	,	PUNCT
ejpam-4126	232	164	fu	fu	NOUN
ejpam-4126	232	165	,	,	PUNCT
ejpam-4126	232	166	fu	fu	NOUN
ejpam-4126	232	167	)	)	PUNCT
ejpam-4126	232	168	,	,	PUNCT
ejpam-4126	232	169	gk(y3n+1	gk(y3n+1	NOUN
ejpam-4126	232	170	,	,	PUNCT
ejpam-4126	232	171	y3n+1	y3n+1	PROPN
ejpam-4126	232	172	,	,	PUNCT
ejpam-4126	232	173	y3n	y3n	PROPN
ejpam-4126	232	174	)	)	PUNCT
ejpam-4126	232	175	,	,	PUNCT
ejpam-4126	232	176	gk(y3n+2	gk(y3n+2	PROPN
ejpam-4126	232	177	,	,	PUNCT
ejpam-4126	232	178	y3n+2	y3n+2	PROPN
ejpam-4126	232	179	,	,	PUNCT
ejpam-4126	232	180	y3n+1	y3n+1	PROPN
ejpam-4126	232	181	)	)	PUNCT
ejpam-4126	232	182	,	,	PUNCT
ejpam-4126	232	183	gk(fu	gk(fu	PROPN
ejpam-4126	232	184	,	,	PUNCT
ejpam-4126	232	185	fu	fu	NOUN
ejpam-4126	232	186	,	,	PUNCT
ejpam-4126	232	187	fu	fu	NOUN
ejpam-4126	232	188	)	)	PUNCT
ejpam-4126	232	189	,	,	PUNCT
ejpam-4126	232	190	gk(y3n+1	gk(y3n+1	PROPN
ejpam-4126	232	191	,	,	PUNCT
ejpam-4126	232	192	y3n	y3n	PROPN
ejpam-4126	232	193	,	,	PUNCT
ejpam-4126	232	194	y3n	y3n	PROPN
ejpam-4126	232	195	)	)	PUNCT
ejpam-4126	232	196	,	,	PUNCT
ejpam-4126	232	197	gk(y3n+2	gk(y3n+2	PROPN
ejpam-4126	232	198	,	,	PUNCT
ejpam-4126	232	199	y3n+1	y3n+1	PROPN
ejpam-4126	232	200	,	,	PUNCT
ejpam-4126	232	201	y3n+1	y3n+1	NOUN
ejpam-4126	232	202	)	)	PUNCT
ejpam-4126	232	203	}	}	PUNCT
ejpam-4126	232	204	and	and	CCONJ
ejpam-4126	232	205	nk(u	nk(u	NUM
ejpam-4126	232	206	,	,	PUNCT
ejpam-4126	232	207	x3n+1	x3n+1	PROPN
ejpam-4126	232	208	,	,	PUNCT
ejpam-4126	232	209	x3n+2	x3n+2	X
ejpam-4126	232	210	)	)	PUNCT
ejpam-4126	232	211	=	=	SYM
ejpam-4126	232	212	min{gk(fu	min{gk(fu	PROPN
ejpam-4126	232	213	,	,	PUNCT
ejpam-4126	232	214	fx3n+1	fx3n+1	ADJ
ejpam-4126	232	215	,	,	PUNCT
ejpam-4126	232	216	fx3n+1	fx3n+1	NOUN
ejpam-4126	232	217	)	)	PUNCT
ejpam-4126	232	218	,	,	PUNCT
ejpam-4126	232	219	gk(fu	gk(fu	PROPN
ejpam-4126	232	220	,	,	PUNCT
ejpam-4126	232	221	fx3n+2	fx3n+2	PROPN
ejpam-4126	232	222	,	,	PUNCT
ejpam-4126	232	223	fx3n+2	fx3n+2	NOUN
ejpam-4126	232	224	)	)	PUNCT
ejpam-4126	232	225	,	,	PUNCT
ejpam-4126	232	226	gk(tx3n+1	gk(tx3n+1	PROPN
ejpam-4126	232	227	,	,	PUNCT
ejpam-4126	232	228	fx3n+2	fx3n+2	PROPN
ejpam-4126	232	229	,	,	PUNCT
ejpam-4126	232	230	fx3n+2	fx3n+2	NOUN
ejpam-4126	232	231	)	)	PUNCT
ejpam-4126	232	232	,	,	PUNCT
ejpam-4126	232	233	gk(tx3n+1	gk(tx3n+1	NOUN
ejpam-4126	232	234	,	,	PUNCT
ejpam-4126	232	235	fu	fu	ADJ
ejpam-4126	232	236	,	,	PUNCT
ejpam-4126	232	237	fu	fu	NOUN
ejpam-4126	232	238	)	)	PUNCT
ejpam-4126	232	239	,	,	PUNCT
ejpam-4126	232	240	gk(rx3n+2	gk(rx3n+2	PROPN
ejpam-4126	232	241	,	,	PUNCT
ejpam-4126	232	242	fu	fu	NOUN
ejpam-4126	232	243	,	,	PUNCT
ejpam-4126	232	244	fu	fu	NOUN
ejpam-4126	232	245	)	)	PUNCT
ejpam-4126	232	246	,	,	PUNCT
ejpam-4126	232	247	gk(rx3n+2	gk(rx3n+2	PROPN
ejpam-4126	232	248	,	,	PUNCT
ejpam-4126	232	249	fx3n+1	fx3n+1	PROPN
ejpam-4126	232	250	,	,	PUNCT
ejpam-4126	232	251	fx3n+1	fx3n+1	NOUN
ejpam-4126	232	252	)	)	PUNCT
ejpam-4126	232	253	}	}	PUNCT
ejpam-4126	232	254	=	=	SYM
ejpam-4126	232	255	min{gk(fu	min{gk(fu	PROPN
ejpam-4126	232	256	,	,	PUNCT
ejpam-4126	232	257	y3n	y3n	PROPN
ejpam-4126	232	258	,	,	PUNCT
ejpam-4126	232	259	y3n	y3n	PROPN
ejpam-4126	232	260	)	)	PUNCT
ejpam-4126	232	261	,	,	PUNCT
ejpam-4126	232	262	gk(fu	gk(fu	PROPN
ejpam-4126	232	263	,	,	PUNCT
ejpam-4126	232	264	y3n+1	y3n+1	PROPN
ejpam-4126	232	265	,	,	PUNCT
ejpam-4126	232	266	y3n+1	y3n+1	PROPN
ejpam-4126	232	267	)	)	PUNCT
ejpam-4126	232	268	,	,	PUNCT
ejpam-4126	232	269	gk(y3n+1	gk(y3n+1	NOUN
ejpam-4126	232	270	,	,	PUNCT
ejpam-4126	232	271	y3n+1	y3n+1	PROPN
ejpam-4126	232	272	,	,	PUNCT
ejpam-4126	232	273	y3n+1	y3n+1	PROPN
ejpam-4126	232	274	)	)	PUNCT
ejpam-4126	232	275	,	,	PUNCT
ejpam-4126	232	276	gk(y3n+1	gk(y3n+1	NOUN
ejpam-4126	232	277	,	,	PUNCT
ejpam-4126	232	278	fu	fu	ADJ
ejpam-4126	232	279	,	,	PUNCT
ejpam-4126	232	280	fu	fu	NOUN
ejpam-4126	232	281	)	)	PUNCT
ejpam-4126	232	282	,	,	PUNCT
ejpam-4126	232	283	gk(y3n+2	gk(y3n+2	PROPN
ejpam-4126	232	284	,	,	PUNCT
ejpam-4126	232	285	fu	fu	NOUN
ejpam-4126	232	286	,	,	PUNCT
ejpam-4126	232	287	fu	fu	NOUN
ejpam-4126	232	288	)	)	PUNCT
ejpam-4126	232	289	,	,	PUNCT
ejpam-4126	232	290	gk(y3n+2	gk(y3n+2	PROPN
ejpam-4126	232	291	,	,	PUNCT
ejpam-4126	232	292	y3n	y3n	PROPN
ejpam-4126	232	293	,	,	PUNCT
ejpam-4126	232	294	y3n	y3n	PROPN
ejpam-4126	232	295	)	)	PUNCT
ejpam-4126	232	296	}	}	PUNCT
ejpam-4126	232	297	=	=	PUNCT
ejpam-4126	233	1	0	0	X
ejpam-4126	233	2	.	.	PUNCT
ejpam-4126	234	1	as	as	ADP
ejpam-4126	234	2	a	a	DET
ejpam-4126	234	3	consequence	consequence	NOUN
ejpam-4126	234	4	,	,	PUNCT
ejpam-4126	234	5	lim	lim	PROPN
ejpam-4126	234	6	n→+∞	n→+∞	PROPN
ejpam-4126	234	7	mk(u	mk(u	PUNCT
ejpam-4126	234	8	,	,	PUNCT
ejpam-4126	234	9	x3n+1	x3n+1	PROPN
ejpam-4126	234	10	,	,	PUNCT
ejpam-4126	234	11	x3n+2	x3n+2	X
ejpam-4126	234	12	)	)	PUNCT
ejpam-4126	234	13	=	=	SYM
ejpam-4126	234	14	max{0	max{0	PROPN
ejpam-4126	234	15	,	,	PUNCT
ejpam-4126	234	16	sgk(fu	sgk(fu	NOUN
ejpam-4126	234	17	,	,	PUNCT
ejpam-4126	234	18	fu	fu	NOUN
ejpam-4126	234	19	,	,	PUNCT
ejpam-4126	234	20	fu	fu	NOUN
ejpam-4126	234	21	)	)	PUNCT
ejpam-4126	234	22	,	,	PUNCT
ejpam-4126	234	23	0	0	NUM
ejpam-4126	234	24	,	,	PUNCT
ejpam-4126	234	25	0	0	NUM
ejpam-4126	234	26	,	,	PUNCT
ejpam-4126	234	27	0	0	NUM
ejpam-4126	234	28	,	,	PUNCT
ejpam-4126	234	29	sgk(fu	sgk(fu	X
ejpam-4126	234	30	,	,	PUNCT
ejpam-4126	234	31	fu	fu	NOUN
ejpam-4126	234	32	,	,	PUNCT
ejpam-4126	234	33	fu	fu	NOUN
ejpam-4126	234	34	)	)	PUNCT
ejpam-4126	234	35	,	,	PUNCT
ejpam-4126	234	36	sgk(fu	sgk(fu	X
ejpam-4126	234	37	,	,	PUNCT
ejpam-4126	234	38	fu	fu	NOUN
ejpam-4126	234	39	,	,	PUNCT
ejpam-4126	234	40	fu	fu	NOUN
ejpam-4126	234	41	)	)	PUNCT
ejpam-4126	234	42	,	,	PUNCT
ejpam-4126	234	43	gk(fu	gk(fu	PROPN
ejpam-4126	234	44	,	,	PUNCT
ejpam-4126	234	45	fu	fu	NOUN
ejpam-4126	234	46	,	,	PUNCT
ejpam-4126	234	47	fu	fu	NOUN
ejpam-4126	234	48	)	)	PUNCT
ejpam-4126	234	49	,	,	PUNCT
ejpam-4126	234	50	0	0	NUM
ejpam-4126	234	51	,	,	PUNCT
ejpam-4126	234	52	0	0	NUM
ejpam-4126	234	53	,	,	PUNCT
ejpam-4126	234	54	gk(fu	gk(fu	PROPN
ejpam-4126	234	55	,	,	PUNCT
ejpam-4126	234	56	fu	fu	NOUN
ejpam-4126	234	57	,	,	PUNCT
ejpam-4126	234	58	fu	fu	NOUN
ejpam-4126	234	59	)	)	PUNCT
ejpam-4126	234	60	,	,	PUNCT
ejpam-4126	234	61	0	0	NUM
ejpam-4126	234	62	,	,	PUNCT
ejpam-4126	234	63	0	0	NUM
ejpam-4126	234	64	}	}	PUNCT
ejpam-4126	234	65	=	=	SYM
ejpam-4126	234	66	max{sgk(fu	max{sgk(fu	PROPN
ejpam-4126	234	67	,	,	PUNCT
ejpam-4126	234	68	fu	fu	ADJ
ejpam-4126	234	69	,	,	PUNCT
ejpam-4126	234	70	fu	fu	NOUN
ejpam-4126	234	71	)	)	PUNCT
ejpam-4126	234	72	,	,	PUNCT
ejpam-4126	234	73	gk(fu	gk(fu	PROPN
ejpam-4126	234	74	,	,	PUNCT
ejpam-4126	234	75	fu	fu	NOUN
ejpam-4126	234	76	,	,	PUNCT
ejpam-4126	234	77	fu	fu	NOUN
ejpam-4126	234	78	)	)	PUNCT
ejpam-4126	234	79	}	}	PUNCT
ejpam-4126	234	80	≤	≤	NUM
ejpam-4126	234	81	max{sgk(fu	max{sgk(fu	NUM
ejpam-4126	234	82	,	,	PUNCT
ejpam-4126	234	83	fu	fu	ADJ
ejpam-4126	234	84	,	,	PUNCT
ejpam-4126	234	85	fu	fu	NOUN
ejpam-4126	234	86	)	)	PUNCT
ejpam-4126	234	87	,	,	PUNCT
ejpam-4126	234	88	2skgk(fu	2skgk(fu	NUM
ejpam-4126	234	89	,	,	PUNCT
ejpam-4126	234	90	fu	fu	ADJ
ejpam-4126	234	91	,	,	PUNCT
ejpam-4126	234	92	fu	fu	NOUN
ejpam-4126	234	93	)	)	PUNCT
ejpam-4126	234	94	}	}	PUNCT
ejpam-4126	234	95	=	=	SYM
ejpam-4126	234	96	2skgk(fu	2skgk(fu	NUM
ejpam-4126	234	97	,	,	PUNCT
ejpam-4126	234	98	fu	fu	ADJ
ejpam-4126	234	99	,	,	PUNCT
ejpam-4126	234	100	fu	fu	NOUN
ejpam-4126	234	101	)	)	PUNCT
ejpam-4126	234	102	.	.	PUNCT
ejpam-4126	235	1	as	as	ADP
ejpam-4126	235	2	n	n	NOUN
ejpam-4126	235	3	→	→	SYM
ejpam-4126	235	4	+	+	NOUN
ejpam-4126	235	5	∞	∞	PROPN
ejpam-4126	235	6	in	in	ADP
ejpam-4126	235	7	(	(	PUNCT
ejpam-4126	235	8	14	14	NUM
ejpam-4126	235	9	)	)	PUNCT
ejpam-4126	235	10	,	,	PUNCT
ejpam-4126	235	11	we	we	PRON
ejpam-4126	235	12	find	find	VERB
ejpam-4126	235	13	sgk(fu	sgk(fu	NOUN
ejpam-4126	235	14	,	,	PUNCT
ejpam-4126	235	15	fu	fu	ADJ
ejpam-4126	235	16	,	,	PUNCT
ejpam-4126	235	17	fu	fu	NOUN
ejpam-4126	235	18	)	)	PUNCT
ejpam-4126	235	19	≤	≤	NOUN
ejpam-4126	235	20	2kλgk(fu	2kλgk(fu	NUM
ejpam-4126	235	21	,	,	PUNCT
ejpam-4126	235	22	fu	fu	ADJ
ejpam-4126	235	23	,	,	PUNCT
ejpam-4126	235	24	fu	fu	NOUN
ejpam-4126	235	25	)	)	PUNCT
ejpam-4126	235	26	.	.	PUNCT
ejpam-4126	236	1	s.	s.	PROPN
ejpam-4126	236	2	benchabane	benchabane	PROPN
ejpam-4126	236	3	,	,	PUNCT
ejpam-4126	236	4	s.	s.	PROPN
ejpam-4126	236	5	djebali	djebali	PROPN
ejpam-4126	236	6	/	/	SYM
ejpam-4126	236	7	eur	eur	PROPN
ejpam-4126	236	8	.	.	PUNCT
ejpam-4126	237	1	j.	j.	PROPN
ejpam-4126	237	2	pure	pure	PROPN
ejpam-4126	237	3	appl	appl	PROPN
ejpam-4126	237	4	.	.	PROPN
ejpam-4126	237	5	math	math	PROPN
ejpam-4126	237	6	,	,	PUNCT
ejpam-4126	237	7	14	14	NUM
ejpam-4126	237	8	(	(	PUNCT
ejpam-4126	237	9	4	4	NUM
ejpam-4126	237	10	)	)	PUNCT
ejpam-4126	237	11	(	(	PUNCT
ejpam-4126	237	12	2021	2021	NUM
ejpam-4126	237	13	)	)	PUNCT
ejpam-4126	237	14	,	,	PUNCT
ejpam-4126	237	15	1350	1350	NUM
ejpam-4126	237	16	-	-	SYM
ejpam-4126	237	17	1366	1366	NUM
ejpam-4126	237	18	1363	1363	NUM
ejpam-4126	237	19	then	then	ADV
ejpam-4126	237	20	gk(fu	gk(fu	PROPN
ejpam-4126	237	21	,	,	PUNCT
ejpam-4126	237	22	fu	fu	NOUN
ejpam-4126	237	23	,	,	PUNCT
ejpam-4126	237	24	fu	fu	NOUN
ejpam-4126	237	25	)	)	PUNCT
ejpam-4126	237	26	=	=	SYM
ejpam-4126	237	27	0	0	NUM
ejpam-4126	237	28	which	which	PRON
ejpam-4126	237	29	implies	imply	VERB
ejpam-4126	237	30	that	that	SCONJ
ejpam-4126	237	31	g(fu	g(fu	PROPN
ejpam-4126	237	32	,	,	PUNCT
ejpam-4126	237	33	fu	fu	ADJ
ejpam-4126	237	34	,	,	PUNCT
ejpam-4126	237	35	fu	fu	NOUN
ejpam-4126	237	36	)	)	PUNCT
ejpam-4126	237	37	=	=	SYM
ejpam-4126	237	38	θ	θ	NOUN
ejpam-4126	237	39	,	,	PUNCT
ejpam-4126	237	40	that	that	PRON
ejpam-4126	237	41	is	be	AUX
ejpam-4126	237	42	fu	fu	ADJ
ejpam-4126	237	43	=	=	SYM
ejpam-4126	237	44	fu	fu	PROPN
ejpam-4126	237	45	.	.	PUNCT
ejpam-4126	238	1	in	in	ADP
ejpam-4126	238	2	the	the	DET
ejpam-4126	238	3	same	same	ADJ
ejpam-4126	238	4	way	way	NOUN
ejpam-4126	238	5	,	,	PUNCT
ejpam-4126	238	6	we	we	PRON
ejpam-4126	238	7	can	can	AUX
ejpam-4126	238	8	prove	prove	VERB
ejpam-4126	238	9	that	that	SCONJ
ejpam-4126	238	10	tu	tu	PROPN
ejpam-4126	238	11	=	=	PUNCT
ejpam-4126	238	12	fu	fu	PROPN
ejpam-4126	238	13	and	and	CCONJ
ejpam-4126	238	14	ru	ru	PROPN
ejpam-4126	238	15	=	=	SYM
ejpam-4126	238	16	fu	fu	PROPN
ejpam-4126	238	17	.	.	PUNCT
ejpam-4126	239	1	then	then	ADV
ejpam-4126	239	2	,	,	PUNCT
ejpam-4126	239	3	fu	fu	NOUN
ejpam-4126	239	4	=	=	PUNCT
ejpam-4126	239	5	fu	fu	NOUN
ejpam-4126	239	6	=	=	SYM
ejpam-4126	239	7	tu	tu	PROPN
ejpam-4126	239	8	=	=	SYM
ejpam-4126	239	9	ru	ru	PROPN
ejpam-4126	239	10	=	=	SYM
ejpam-4126	239	11	v	v	NOUN
ejpam-4126	239	12	,	,	PUNCT
ejpam-4126	239	13	and	and	CCONJ
ejpam-4126	239	14	so	so	ADV
ejpam-4126	239	15	v	v	NOUN
ejpam-4126	239	16	is	be	AUX
ejpam-4126	239	17	a	a	DET
ejpam-4126	239	18	point	point	NOUN
ejpam-4126	239	19	of	of	ADP
ejpam-4126	239	20	coincidence	coincidence	NOUN
ejpam-4126	239	21	of	of	ADP
ejpam-4126	239	22	f	f	PROPN
ejpam-4126	239	23	,	,	PUNCT
ejpam-4126	239	24	f	f	PROPN
ejpam-4126	239	25	,	,	PUNCT
ejpam-4126	239	26	t	t	PROPN
ejpam-4126	239	27	and	and	CCONJ
ejpam-4126	239	28	r.	r.	PROPN
ejpam-4126	239	29	to	to	PART
ejpam-4126	239	30	show	show	VERB
ejpam-4126	239	31	that	that	SCONJ
ejpam-4126	239	32	f	f	PROPN
ejpam-4126	239	33	,	,	PUNCT
ejpam-4126	239	34	f	f	PROPN
ejpam-4126	239	35	,	,	PUNCT
ejpam-4126	239	36	t	t	PROPN
ejpam-4126	239	37	and	and	CCONJ
ejpam-4126	239	38	r	r	NOUN
ejpam-4126	239	39	have	have	VERB
ejpam-4126	239	40	a	a	DET
ejpam-4126	239	41	unique	unique	ADJ
ejpam-4126	239	42	point	point	NOUN
ejpam-4126	239	43	of	of	ADP
ejpam-4126	239	44	coincidence	coincidence	NOUN
ejpam-4126	239	45	in	in	ADP
ejpam-4126	239	46	x	x	X
ejpam-4126	239	47	,	,	PUNCT
ejpam-4126	239	48	assume	assume	VERB
ejpam-4126	239	49	that	that	SCONJ
ejpam-4126	239	50	there	there	PRON
ejpam-4126	239	51	exists	exist	VERB
ejpam-4126	239	52	a	a	DET
ejpam-4126	239	53	second	second	ADJ
ejpam-4126	239	54	coincidence	coincidence	NOUN
ejpam-4126	239	55	point	point	NOUN
ejpam-4126	239	56	v⋆	v⋆	NUM
ejpam-4126	239	57	∈	∈	NOUN
ejpam-4126	239	58	x	x	PUNCT
ejpam-4126	240	1	such	such	ADJ
ejpam-4126	240	2	that	that	PRON
ejpam-4126	240	3	fu⋆	fu⋆	PROPN
ejpam-4126	240	4	=	=	SYM
ejpam-4126	240	5	fu⋆	fu⋆	PROPN
ejpam-4126	240	6	=	=	SYM
ejpam-4126	240	7	tu⋆	tu⋆	PROPN
ejpam-4126	240	8	=	=	PUNCT
ejpam-4126	240	9	ru⋆	ru⋆	PROPN
ejpam-4126	240	10	=	=	SYM
ejpam-4126	240	11	v⋆	v⋆	PROPN
ejpam-4126	240	12	,	,	PUNCT
ejpam-4126	240	13	for	for	ADP
ejpam-4126	240	14	some	some	DET
ejpam-4126	240	15	u⋆	u⋆	ADJ
ejpam-4126	240	16	∈	∈	PROPN
ejpam-4126	240	17	x.	x.	NOUN
ejpam-4126	240	18	condition	condition	NOUN
ejpam-4126	240	19	(	(	PUNCT
ejpam-4126	240	20	6	6	NUM
ejpam-4126	240	21	)	)	PUNCT
ejpam-4126	240	22	yields	yield	NOUN
ejpam-4126	240	23	gk(v	gk(v	PUNCT
ejpam-4126	240	24	⋆	⋆	NOUN
ejpam-4126	240	25	,	,	PUNCT
ejpam-4126	240	26	v	v	NOUN
ejpam-4126	240	27	,	,	PUNCT
ejpam-4126	240	28	v	v	NOUN
ejpam-4126	240	29	)	)	PUNCT
ejpam-4126	240	30	=	=	PUNCT
ejpam-4126	240	31	gk(fu⋆	gk(fu⋆	PROPN
ejpam-4126	240	32	,	,	PUNCT
ejpam-4126	240	33	tu	tu	PROPN
ejpam-4126	240	34	,	,	PUNCT
ejpam-4126	240	35	ru	ru	PROPN
ejpam-4126	240	36	)	)	PUNCT
ejpam-4126	240	37	≤	≤	PUNCT
ejpam-4126	241	1	λ	λ	PROPN
ejpam-4126	241	2	smk(u	smk(u	PROPN
ejpam-4126	241	3	⋆u	⋆u	PROPN
ejpam-4126	241	4	,	,	PUNCT
ejpam-4126	241	5	u	u	NOUN
ejpam-4126	241	6	)	)	PUNCT
ejpam-4126	241	7	+	+	NUM
ejpam-4126	241	8	l	l	NOUN
ejpam-4126	241	9	snk(u	snk(u	PROPN
ejpam-4126	241	10	⋆u	⋆u	PROPN
ejpam-4126	241	11	,	,	PUNCT
ejpam-4126	241	12	u	u	NOUN
ejpam-4126	241	13	)	)	PUNCT
ejpam-4126	241	14	,	,	PUNCT
ejpam-4126	241	15	where	where	SCONJ
ejpam-4126	241	16	mk(u	mk(u	PUNCT
ejpam-4126	241	17	⋆	⋆	NOUN
ejpam-4126	241	18	,	,	PUNCT
ejpam-4126	241	19	u	u	NOUN
ejpam-4126	241	20	,	,	PUNCT
ejpam-4126	241	21	u	u	NOUN
ejpam-4126	241	22	)	)	PUNCT
ejpam-4126	241	23	=	=	SYM
ejpam-4126	241	24	max{gk(fu	max{gk(fu	NOUN
ejpam-4126	241	25	⋆	⋆	NOUN
ejpam-4126	241	26	,	,	PUNCT
ejpam-4126	241	27	fu	fu	ADJ
ejpam-4126	241	28	,	,	PUNCT
ejpam-4126	241	29	fu	fu	NOUN
ejpam-4126	241	30	)	)	PUNCT
ejpam-4126	241	31	,	,	PUNCT
ejpam-4126	241	32	gk(fu⋆	gk(fu⋆	PROPN
ejpam-4126	241	33	,	,	PUNCT
ejpam-4126	241	34	fu	fu	ADJ
ejpam-4126	241	35	,	,	PUNCT
ejpam-4126	241	36	fu	fu	PROPN
ejpam-4126	241	37	)	)	PUNCT
ejpam-4126	241	38	,	,	PUNCT
ejpam-4126	242	1	gk(fu	gk(fu	PROPN
ejpam-4126	242	2	⋆	⋆	PROPN
ejpam-4126	242	3	,	,	PUNCT
ejpam-4126	242	4	tu	tu	PROPN
ejpam-4126	242	5	,	,	PUNCT
ejpam-4126	242	6	fu	fu	PROPN
ejpam-4126	242	7	)	)	PUNCT
ejpam-4126	242	8	,	,	PUNCT
ejpam-4126	242	9	gk(fu	gk(fu	PROPN
ejpam-4126	242	10	⋆	⋆	NOUN
ejpam-4126	242	11	,	,	PUNCT
ejpam-4126	242	12	fu	fu	PROPN
ejpam-4126	242	13	,	,	PUNCT
ejpam-4126	242	14	ru	ru	NOUN
ejpam-4126	242	15	)	)	PUNCT
ejpam-4126	242	16	,	,	PUNCT
ejpam-4126	242	17	gk(fu	gk(fu	PROPN
ejpam-4126	242	18	⋆	⋆	PROPN
ejpam-4126	242	19	,	,	PUNCT
ejpam-4126	242	20	tu	tu	PROPN
ejpam-4126	242	21	,	,	PUNCT
ejpam-4126	242	22	ru	ru	PROPN
ejpam-4126	242	23	)	)	PUNCT
ejpam-4126	242	24	,	,	PUNCT
ejpam-4126	242	25	gk(fu⋆	gk(fu⋆	PROPN
ejpam-4126	242	26	,	,	PUNCT
ejpam-4126	242	27	fu	fu	PROPN
ejpam-4126	242	28	,	,	PUNCT
ejpam-4126	242	29	ru	ru	PROPN
ejpam-4126	242	30	)	)	PUNCT
ejpam-4126	242	31	,	,	PUNCT
ejpam-4126	242	32	gk(fu⋆	gk(fu⋆	PROPN
ejpam-4126	242	33	,	,	PUNCT
ejpam-4126	242	34	tu	tu	PROPN
ejpam-4126	242	35	,	,	PUNCT
ejpam-4126	242	36	fu	fu	PROPN
ejpam-4126	242	37	)	)	PUNCT
ejpam-4126	242	38	,	,	PUNCT
ejpam-4126	242	39	gk(fu⋆	gk(fu⋆	PROPN
ejpam-4126	242	40	,	,	PUNCT
ejpam-4126	242	41	fu⋆	fu⋆	PROPN
ejpam-4126	242	42	,	,	PUNCT
ejpam-4126	242	43	fu⋆	fu⋆	PROPN
ejpam-4126	242	44	)	)	PUNCT
ejpam-4126	242	45	,	,	PUNCT
ejpam-4126	242	46	gk(tu	gk(tu	PROPN
ejpam-4126	242	47	,	,	PUNCT
ejpam-4126	242	48	tu	tu	PROPN
ejpam-4126	242	49	,	,	PUNCT
ejpam-4126	242	50	fu	fu	PROPN
ejpam-4126	242	51	)	)	PUNCT
ejpam-4126	242	52	,	,	PUNCT
ejpam-4126	242	53	gk(ru	gk(ru	NOUN
ejpam-4126	242	54	,	,	PUNCT
ejpam-4126	242	55	ru	ru	NOUN
ejpam-4126	242	56	,	,	PUNCT
ejpam-4126	242	57	fu	fu	NOUN
ejpam-4126	242	58	)	)	PUNCT
ejpam-4126	242	59	,	,	PUNCT
ejpam-4126	242	60	gk(fu⋆	gk(fu⋆	PROPN
ejpam-4126	242	61	,	,	PUNCT
ejpam-4126	242	62	fu⋆	fu⋆	PROPN
ejpam-4126	242	63	,	,	PUNCT
ejpam-4126	242	64	fu⋆	fu⋆	PROPN
ejpam-4126	242	65	)	)	PUNCT
ejpam-4126	242	66	,	,	PUNCT
ejpam-4126	242	67	gk(tu	gk(tu	PROPN
ejpam-4126	242	68	,	,	PUNCT
ejpam-4126	242	69	fu	fu	NOUN
ejpam-4126	242	70	,	,	PUNCT
ejpam-4126	242	71	fu	fu	NOUN
ejpam-4126	242	72	)	)	PUNCT
ejpam-4126	242	73	,	,	PUNCT
ejpam-4126	242	74	gk(ru	gk(ru	NOUN
ejpam-4126	242	75	,	,	PUNCT
ejpam-4126	242	76	fu	fu	NOUN
ejpam-4126	242	77	,	,	PUNCT
ejpam-4126	242	78	fu	fu	NOUN
ejpam-4126	242	79	)	)	PUNCT
ejpam-4126	242	80	}	}	PUNCT
ejpam-4126	242	81	=	=	SYM
ejpam-4126	242	82	gk(v	gk(v	ADJ
ejpam-4126	242	83	⋆	⋆	NOUN
ejpam-4126	242	84	,	,	PUNCT
ejpam-4126	242	85	v	v	NOUN
ejpam-4126	242	86	,	,	PUNCT
ejpam-4126	242	87	v	v	NOUN
ejpam-4126	242	88	)	)	PUNCT
ejpam-4126	242	89	and	and	CCONJ
ejpam-4126	242	90	nk(u	nk(u	NUM
ejpam-4126	242	91	⋆	⋆	NOUN
ejpam-4126	242	92	,	,	PUNCT
ejpam-4126	242	93	u	u	NOUN
ejpam-4126	242	94	,	,	PUNCT
ejpam-4126	242	95	u	u	NOUN
ejpam-4126	242	96	)	)	PUNCT
ejpam-4126	242	97	=	=	PUNCT
ejpam-4126	242	98	min{gk(fu⋆	min{gk(fu⋆	PROPN
ejpam-4126	242	99	,	,	PUNCT
ejpam-4126	242	100	fu	fu	ADJ
ejpam-4126	242	101	,	,	PUNCT
ejpam-4126	242	102	fu	fu	NOUN
ejpam-4126	242	103	)	)	PUNCT
ejpam-4126	242	104	,	,	PUNCT
ejpam-4126	242	105	gk(fu⋆	gk(fu⋆	PROPN
ejpam-4126	242	106	,	,	PUNCT
ejpam-4126	242	107	fu	fu	ADJ
ejpam-4126	242	108	,	,	PUNCT
ejpam-4126	242	109	fu	fu	NOUN
ejpam-4126	242	110	)	)	PUNCT
ejpam-4126	242	111	,	,	PUNCT
ejpam-4126	242	112	gk(tu	gk(tu	PROPN
ejpam-4126	242	113	,	,	PUNCT
ejpam-4126	242	114	fu	fu	NOUN
ejpam-4126	242	115	,	,	PUNCT
ejpam-4126	242	116	fu	fu	NOUN
ejpam-4126	242	117	)	)	PUNCT
ejpam-4126	242	118	,	,	PUNCT
ejpam-4126	242	119	gk(tu	gk(tu	PROPN
ejpam-4126	242	120	,	,	PUNCT
ejpam-4126	242	121	fu	fu	NOUN
ejpam-4126	242	122	⋆	⋆	NOUN
ejpam-4126	242	123	,	,	PUNCT
ejpam-4126	242	124	fu⋆	fu⋆	PROPN
ejpam-4126	242	125	)	)	PUNCT
ejpam-4126	242	126	,	,	PUNCT
ejpam-4126	242	127	gk(ru	gk(ru	PROPN
ejpam-4126	242	128	,	,	PUNCT
ejpam-4126	242	129	fu⋆	fu⋆	PROPN
ejpam-4126	242	130	,	,	PUNCT
ejpam-4126	242	131	fu⋆	fu⋆	PROPN
ejpam-4126	242	132	)	)	PUNCT
ejpam-4126	242	133	,	,	PUNCT
ejpam-4126	242	134	gk(ru	gk(ru	NOUN
ejpam-4126	242	135	,	,	PUNCT
ejpam-4126	242	136	fu	fu	NOUN
ejpam-4126	242	137	,	,	PUNCT
ejpam-4126	242	138	fu	fu	NOUN
ejpam-4126	242	139	)	)	PUNCT
ejpam-4126	242	140	}	}	PUNCT
ejpam-4126	243	1	=	=	SYM
ejpam-4126	243	2	0	0	X
ejpam-4126	243	3	.	.	PUNCT
ejpam-4126	244	1	therefore	therefore	ADV
ejpam-4126	244	2	,	,	PUNCT
ejpam-4126	244	3	gk(v	gk(v	ADJ
ejpam-4126	244	4	⋆	⋆	X
ejpam-4126	244	5	,	,	PUNCT
ejpam-4126	244	6	v	v	NOUN
ejpam-4126	244	7	,	,	PUNCT
ejpam-4126	244	8	v	v	NOUN
ejpam-4126	244	9	)	)	PUNCT
ejpam-4126	244	10	≤	≤	NUM
ejpam-4126	244	11	λ	λ	PROPN
ejpam-4126	244	12	s	s	PROPN
ejpam-4126	244	13	gk(v	gk(v	ADJ
ejpam-4126	244	14	⋆	⋆	NOUN
ejpam-4126	244	15	,	,	PUNCT
ejpam-4126	244	16	v	v	NOUN
ejpam-4126	244	17	,	,	PUNCT
ejpam-4126	244	18	v	v	NOUN
ejpam-4126	244	19	)	)	PUNCT
ejpam-4126	244	20	.	.	PUNCT
ejpam-4126	245	1	so	so	CCONJ
ejpam-4126	245	2	gk(v	gk(v	PROPN
ejpam-4126	245	3	⋆	⋆	NOUN
ejpam-4126	245	4	,	,	PUNCT
ejpam-4126	245	5	v	v	NOUN
ejpam-4126	245	6	,	,	PUNCT
ejpam-4126	245	7	v	v	NOUN
ejpam-4126	245	8	)	)	PUNCT
ejpam-4126	246	1	=	=	SYM
ejpam-4126	246	2	0	0	NUM
ejpam-4126	246	3	,	,	PUNCT
ejpam-4126	246	4	which	which	PRON
ejpam-4126	246	5	implies	imply	VERB
ejpam-4126	246	6	that	that	SCONJ
ejpam-4126	246	7	g(v⋆	g(v⋆	NOUN
ejpam-4126	246	8	,	,	PUNCT
ejpam-4126	246	9	v	v	NOUN
ejpam-4126	246	10	,	,	PUNCT
ejpam-4126	246	11	v	v	NOUN
ejpam-4126	246	12	)	)	PUNCT
ejpam-4126	246	13	=	=	SYM
ejpam-4126	246	14	θ	θ	NOUN
ejpam-4126	246	15	,	,	PUNCT
ejpam-4126	246	16	that	that	PRON
ejpam-4126	246	17	is	be	AUX
ejpam-4126	246	18	v⋆	v⋆	NOUN
ejpam-4126	246	19	=	=	NOUN
ejpam-4126	246	20	v.	v.	CCONJ
ejpam-4126	246	21	finally	finally	ADV
ejpam-4126	246	22	,	,	PUNCT
ejpam-4126	246	23	since	since	SCONJ
ejpam-4126	246	24	the	the	DET
ejpam-4126	246	25	pairs	pair	NOUN
ejpam-4126	246	26	(	(	PUNCT
ejpam-4126	246	27	f	f	X
ejpam-4126	246	28	,	,	PUNCT
ejpam-4126	246	29	f	f	PROPN
ejpam-4126	246	30	)	)	PUNCT
ejpam-4126	246	31	,	,	PUNCT
ejpam-4126	246	32	(	(	PUNCT
ejpam-4126	246	33	f	f	X
ejpam-4126	246	34	,	,	PUNCT
ejpam-4126	246	35	t	t	PROPN
ejpam-4126	246	36	)	)	PUNCT
ejpam-4126	246	37	,	,	PUNCT
ejpam-4126	246	38	and	and	CCONJ
ejpam-4126	246	39	(	(	PUNCT
ejpam-4126	246	40	f	f	X
ejpam-4126	246	41	,	,	PUNCT
ejpam-4126	246	42	r	r	NOUN
ejpam-4126	246	43	)	)	PUNCT
ejpam-4126	246	44	are	be	AUX
ejpam-4126	246	45	weakly	weakly	ADV
ejpam-4126	246	46	compatible	compatible	ADJ
ejpam-4126	246	47	,	,	PUNCT
ejpam-4126	246	48	we	we	PRON
ejpam-4126	246	49	obtain	obtain	VERB
ejpam-4126	246	50	ffu	ffu	VERB
ejpam-4126	246	51	=	=	SYM
ejpam-4126	246	52	ffu	ffu	NOUN
ejpam-4126	246	53	,	,	PUNCT
ejpam-4126	246	54	tfu	tfu	NOUN
ejpam-4126	246	55	=	=	SYM
ejpam-4126	246	56	ftu	ftu	PROPN
ejpam-4126	246	57	,	,	PUNCT
ejpam-4126	246	58	rfu	rfu	NOUN
ejpam-4126	246	59	=	=	SYM
ejpam-4126	246	60	fru	fru	NOUN
ejpam-4126	246	61	.	.	PUNCT
ejpam-4126	247	1	this	this	PRON
ejpam-4126	247	2	implies	imply	VERB
ejpam-4126	247	3	that	that	SCONJ
ejpam-4126	247	4	fv	fv	VERB
ejpam-4126	247	5	=	=	SYM
ejpam-4126	247	6	tv	tv	PROPN
ejpam-4126	247	7	=	=	PUNCT
ejpam-4126	247	8	rv	rv	PROPN
ejpam-4126	247	9	=	=	SYM
ejpam-4126	247	10	fv	fv	PROPN
ejpam-4126	247	11	=	=	SYM
ejpam-4126	247	12	t	t	PROPN
ejpam-4126	247	13	,	,	PUNCT
ejpam-4126	247	14	i.e.	i.e.	X
ejpam-4126	247	15	,	,	PUNCT
ejpam-4126	247	16	t	t	PROPN
ejpam-4126	247	17	is	be	AUX
ejpam-4126	247	18	a	a	DET
ejpam-4126	247	19	point	point	NOUN
ejpam-4126	247	20	of	of	ADP
ejpam-4126	247	21	coincidence	coincidence	NOUN
ejpam-4126	247	22	of	of	ADP
ejpam-4126	247	23	f	f	PROPN
ejpam-4126	247	24	,	,	PUNCT
ejpam-4126	247	25	f	f	PROPN
ejpam-4126	247	26	,	,	PUNCT
ejpam-4126	247	27	t	t	PROPN
ejpam-4126	247	28	,	,	PUNCT
ejpam-4126	247	29	and	and	CCONJ
ejpam-4126	247	30	r	r	NOUN
ejpam-4126	247	31	and	and	CCONJ
ejpam-4126	247	32	t	t	NOUN
ejpam-4126	247	33	=	=	SYM
ejpam-4126	247	34	v	v	NOUN
ejpam-4126	247	35	by	by	ADP
ejpam-4126	247	36	uniqueness	uniqueness	NOUN
ejpam-4126	247	37	.	.	PUNCT
ejpam-4126	248	1	making	make	VERB
ejpam-4126	248	2	use	use	NOUN
ejpam-4126	248	3	of	of	ADP
ejpam-4126	248	4	proposition	proposition	NOUN
ejpam-4126	248	5	4	4	NUM
ejpam-4126	248	6	,	,	PUNCT
ejpam-4126	248	7	we	we	PRON
ejpam-4126	248	8	conclude	conclude	VERB
ejpam-4126	248	9	that	that	SCONJ
ejpam-4126	248	10	v	v	NOUN
ejpam-4126	248	11	is	be	AUX
ejpam-4126	248	12	the	the	DET
ejpam-4126	248	13	unique	unique	ADJ
ejpam-4126	248	14	common	common	ADJ
ejpam-4126	248	15	fixed	fix	VERB
ejpam-4126	248	16	point	point	NOUN
ejpam-4126	248	17	of	of	ADP
ejpam-4126	248	18	f	f	PROPN
ejpam-4126	248	19	,	,	PUNCT
ejpam-4126	248	20	f	f	PROPN
ejpam-4126	248	21	,	,	PUNCT
ejpam-4126	248	22	t	t	PROPN
ejpam-4126	248	23	,	,	PUNCT
ejpam-4126	248	24	and	and	CCONJ
ejpam-4126	248	25	r.	r.	PROPN
ejpam-4126	248	26	example	example	NOUN
ejpam-4126	249	1	2	2	X
ejpam-4126	249	2	.	.	PUNCT
ejpam-4126	249	3	let	let	VERB
ejpam-4126	249	4	x	x	PUNCT
ejpam-4126	249	5	=	=	PUNCT
ejpam-4126	250	1	[	[	X
ejpam-4126	250	2	−1	−1	NOUN
ejpam-4126	250	3	,	,	PUNCT
ejpam-4126	250	4	1	1	NUM
ejpam-4126	250	5	]	]	PUNCT
ejpam-4126	250	6	,	,	PUNCT
ejpam-4126	250	7	e	e	X
ejpam-4126	250	8	=	=	PUNCT
ejpam-4126	250	9	r2	r2	PROPN
ejpam-4126	250	10	and	and	CCONJ
ejpam-4126	250	11	p	p	NOUN
ejpam-4126	250	12	=	=	X
ejpam-4126	250	13	{	{	PUNCT
ejpam-4126	250	14	(	(	PUNCT
ejpam-4126	250	15	x	x	NOUN
ejpam-4126	250	16	,	,	PUNCT
ejpam-4126	250	17	y	y	NOUN
ejpam-4126	250	18	)	)	PUNCT
ejpam-4126	250	19	∈	∈	PROPN
ejpam-4126	250	20	r2	r2	NOUN
ejpam-4126	250	21	:	:	PUNCT
ejpam-4126	251	1	x	x	X
ejpam-4126	251	2	,	,	PUNCT
ejpam-4126	251	3	y	y	PROPN
ejpam-4126	251	4	≥	≥	NUM
ejpam-4126	251	5	0	0	NUM
ejpam-4126	251	6	}	}	PUNCT
ejpam-4126	251	7	.	.	PUNCT
ejpam-4126	252	1	define	define	VERB
ejpam-4126	252	2	g	g	NOUN
ejpam-4126	252	3	:	:	PUNCT
ejpam-4126	252	4	x	x	PROPN
ejpam-4126	252	5	×x	×x	X
ejpam-4126	252	6	×x	×x	X
ejpam-4126	252	7	→	→	SYM
ejpam-4126	252	8	e	e	NOUN
ejpam-4126	252	9	by	by	ADP
ejpam-4126	252	10	g(x	g(x	PROPN
ejpam-4126	252	11	,	,	PUNCT
ejpam-4126	252	12	y	y	PROPN
ejpam-4126	252	13	,	,	PUNCT
ejpam-4126	252	14	z	z	NOUN
ejpam-4126	252	15	)	)	PUNCT
ejpam-4126	252	16	=	=	SYM
ejpam-4126	253	1	(	(	PUNCT
ejpam-4126	253	2	1	1	NUM
ejpam-4126	253	3	3	3	NUM
ejpam-4126	253	4	max{|x−	max{|x−	PROPN
ejpam-4126	253	5	y|2	y|2	PROPN
ejpam-4126	253	6	,	,	PUNCT
ejpam-4126	253	7	|y	|y	ADJ
ejpam-4126	253	8	−	−	PROPN
ejpam-4126	253	9	z|2	z|2	PROPN
ejpam-4126	253	10	,	,	PUNCT
ejpam-4126	253	11	|x−	|x−	PROPN
ejpam-4126	253	12	z|2	z|2	PROPN
ejpam-4126	253	13	}	}	PUNCT
ejpam-4126	253	14	,	,	PUNCT
ejpam-4126	253	15	2	2	NUM
ejpam-4126	253	16	3	3	NUM
ejpam-4126	253	17	max{|x−	max{|x−	PROPN
ejpam-4126	253	18	y|2	y|2	PROPN
ejpam-4126	253	19	,	,	PUNCT
ejpam-4126	253	20	|y	|y	ADJ
ejpam-4126	253	21	−	−	PROPN
ejpam-4126	253	22	z|2	z|2	PROPN
ejpam-4126	253	23	,	,	PUNCT
ejpam-4126	253	24	|x−	|x−	PROPN
ejpam-4126	253	25	z|2	z|2	PROPN
ejpam-4126	253	26	}	}	PUNCT
ejpam-4126	253	27	)	)	PUNCT
ejpam-4126	253	28	.	.	PUNCT
ejpam-4126	254	1	s.	s.	PROPN
ejpam-4126	254	2	benchabane	benchabane	PROPN
ejpam-4126	254	3	,	,	PUNCT
ejpam-4126	254	4	s.	s.	PROPN
ejpam-4126	254	5	djebali	djebali	PROPN
ejpam-4126	254	6	/	/	SYM
ejpam-4126	254	7	eur	eur	PROPN
ejpam-4126	254	8	.	.	PUNCT
ejpam-4126	255	1	j.	j.	PROPN
ejpam-4126	255	2	pure	pure	PROPN
ejpam-4126	255	3	appl	appl	PROPN
ejpam-4126	255	4	.	.	PROPN
ejpam-4126	255	5	math	math	PROPN
ejpam-4126	255	6	,	,	PUNCT
ejpam-4126	255	7	14	14	NUM
ejpam-4126	255	8	(	(	PUNCT
ejpam-4126	255	9	4	4	NUM
ejpam-4126	255	10	)	)	PUNCT
ejpam-4126	255	11	(	(	PUNCT
ejpam-4126	255	12	2021	2021	NUM
ejpam-4126	255	13	)	)	PUNCT
ejpam-4126	255	14	,	,	PUNCT
ejpam-4126	255	15	1350	1350	NUM
ejpam-4126	255	16	-	-	SYM
ejpam-4126	255	17	1366	1366	NUM
ejpam-4126	255	18	1364	1364	NUM
ejpam-4126	255	19	then	then	ADV
ejpam-4126	255	20	g	g	PROPN
ejpam-4126	255	21	is	be	AUX
ejpam-4126	255	22	a	a	DET
ejpam-4126	255	23	gb	gb	NOUN
ejpam-4126	255	24	-	-	PUNCT
ejpam-4126	255	25	cone	cone	NOUN
ejpam-4126	255	26	metric	metric	NOUN
ejpam-4126	255	27	on	on	ADP
ejpam-4126	255	28	x	x	PUNCT
ejpam-4126	255	29	with	with	ADP
ejpam-4126	255	30	the	the	DET
ejpam-4126	255	31	coefficient	coefficient	NOUN
ejpam-4126	255	32	s	s	PART
ejpam-4126	255	33	=	=	NOUN
ejpam-4126	255	34	2	2	X
ejpam-4126	255	35	.	.	PUNCT
ejpam-4126	256	1	let	let	VERB
ejpam-4126	256	2	gk(x	gk(x	NOUN
ejpam-4126	256	3	,	,	PUNCT
ejpam-4126	256	4	y	y	PROPN
ejpam-4126	256	5	,	,	PUNCT
ejpam-4126	256	6	z	z	NOUN
ejpam-4126	256	7	)	)	PUNCT
ejpam-4126	256	8	=	=	SYM
ejpam-4126	256	9	∥g(x	∥g(x	X
ejpam-4126	256	10	,	,	PUNCT
ejpam-4126	256	11	y	y	NOUN
ejpam-4126	256	12	,	,	PUNCT
ejpam-4126	256	13	z)∥1	z)∥1	PROPN
ejpam-4126	256	14	=	=	SYM
ejpam-4126	256	15	max{|x−	max{|x−	PROPN
ejpam-4126	256	16	y|2	y|2	PROPN
ejpam-4126	256	17	,	,	PUNCT
ejpam-4126	256	18	|y	|y	NOUN
ejpam-4126	256	19	−	−	PROPN
ejpam-4126	256	20	z|2	z|2	PROPN
ejpam-4126	256	21	,	,	PUNCT
ejpam-4126	256	22	|x−	|x−	PROPN
ejpam-4126	256	23	z|2	z|2	PROPN
ejpam-4126	256	24	}	}	PUNCT
ejpam-4126	256	25	.	.	PUNCT
ejpam-4126	257	1	define	define	VERB
ejpam-4126	257	2	the	the	DET
ejpam-4126	257	3	self	self	NOUN
ejpam-4126	257	4	-	-	PUNCT
ejpam-4126	257	5	maps	map	NOUN
ejpam-4126	257	6	f	f	NOUN
ejpam-4126	257	7	,	,	PUNCT
ejpam-4126	257	8	f	f	PROPN
ejpam-4126	257	9	,	,	PUNCT
ejpam-4126	257	10	t	t	PROPN
ejpam-4126	257	11	,	,	PUNCT
ejpam-4126	257	12	and	and	CCONJ
ejpam-4126	257	13	r	r	NOUN
ejpam-4126	257	14	on	on	ADP
ejpam-4126	257	15	x	x	PUNCT
ejpam-4126	257	16	by	by	ADP
ejpam-4126	257	17	f	f	PROPN
ejpam-4126	257	18	(	(	PUNCT
ejpam-4126	257	19	x	x	X
ejpam-4126	257	20	)	)	PUNCT
ejpam-4126	257	21	=	=	PRON
ejpam-4126	257	22	{	{	PUNCT
ejpam-4126	257	23	−1	−1	NOUN
ejpam-4126	257	24	4	4	NUM
ejpam-4126	257	25	,	,	PUNCT
ejpam-4126	257	26	x	x	PUNCT
ejpam-4126	257	27	∈	∈	PROPN
ejpam-4126	258	1	[	[	X
ejpam-4126	258	2	−1	−1	NOUN
ejpam-4126	258	3	,	,	PUNCT
ejpam-4126	258	4	23	23	NUM
ejpam-4126	258	5	)	)	PUNCT
ejpam-4126	258	6	,	,	PUNCT
ejpam-4126	258	7	−1	−1	NOUN
ejpam-4126	258	8	6	6	NUM
ejpam-4126	258	9	,	,	PUNCT
ejpam-4126	258	10	x	x	PUNCT
ejpam-4126	258	11	∈	∈	PROPN
ejpam-4126	259	1	[	[	X
ejpam-4126	259	2	23	23	NUM
ejpam-4126	259	3	,	,	PUNCT
ejpam-4126	259	4	1	1	NUM
ejpam-4126	259	5	]	]	PUNCT
ejpam-4126	259	6	,	,	PUNCT
ejpam-4126	259	7	t	t	PROPN
ejpam-4126	259	8	(	(	PUNCT
ejpam-4126	259	9	x	x	X
ejpam-4126	259	10	)	)	PUNCT
ejpam-4126	259	11	=	=	PRON
ejpam-4126	259	12	{	{	PUNCT
ejpam-4126	259	13	−1	−1	NOUN
ejpam-4126	259	14	4	4	NUM
ejpam-4126	259	15	,	,	PUNCT
ejpam-4126	259	16	x	x	PUNCT
ejpam-4126	259	17	∈	∈	PROPN
ejpam-4126	260	1	[	[	X
ejpam-4126	260	2	−1	−1	NOUN
ejpam-4126	260	3	,	,	PUNCT
ejpam-4126	260	4	23	23	NUM
ejpam-4126	260	5	)	)	PUNCT
ejpam-4126	260	6	,	,	PUNCT
ejpam-4126	260	7	−1	−1	NOUN
ejpam-4126	260	8	7	7	NUM
ejpam-4126	260	9	,	,	PUNCT
ejpam-4126	260	10	x	x	PUNCT
ejpam-4126	260	11	∈	∈	PROPN
ejpam-4126	261	1	[	[	X
ejpam-4126	261	2	23	23	NUM
ejpam-4126	261	3	,	,	PUNCT
ejpam-4126	261	4	1	1	NUM
ejpam-4126	261	5	]	]	PUNCT
ejpam-4126	261	6	,	,	PUNCT
ejpam-4126	261	7	r(x	r(x	PROPN
ejpam-4126	261	8	)	)	PUNCT
ejpam-4126	261	9	=	=	PRON
ejpam-4126	261	10	{	{	PUNCT
ejpam-4126	261	11	−1	−1	NOUN
ejpam-4126	261	12	4	4	NUM
ejpam-4126	261	13	,	,	PUNCT
ejpam-4126	261	14	x	x	PUNCT
ejpam-4126	261	15	∈	∈	PROPN
ejpam-4126	262	1	[	[	X
ejpam-4126	262	2	−1	−1	NOUN
ejpam-4126	262	3	,	,	PUNCT
ejpam-4126	262	4	23	23	NUM
ejpam-4126	262	5	)	)	PUNCT
ejpam-4126	262	6	,	,	PUNCT
ejpam-4126	262	7	−1	−1	NOUN
ejpam-4126	262	8	5	5	NUM
ejpam-4126	262	9	,	,	PUNCT
ejpam-4126	262	10	x	x	PUNCT
ejpam-4126	262	11	∈	∈	PROPN
ejpam-4126	263	1	[	[	X
ejpam-4126	263	2	23	23	NUM
ejpam-4126	263	3	,	,	PUNCT
ejpam-4126	263	4	1	1	NUM
ejpam-4126	263	5	]	]	PUNCT
ejpam-4126	263	6	,	,	PUNCT
ejpam-4126	263	7	f(x	f(x	PROPN
ejpam-4126	263	8	)	)	PUNCT
ejpam-4126	263	9	=	=	PRON
ejpam-4126	263	10	{	{	PUNCT
ejpam-4126	263	11	x	x	NOUN
ejpam-4126	263	12	,	,	PUNCT
ejpam-4126	263	13	x	x	SYM
ejpam-4126	263	14	∈	∈	PROPN
ejpam-4126	264	1	[	[	X
ejpam-4126	264	2	−1	−1	NOUN
ejpam-4126	264	3	,	,	PUNCT
ejpam-4126	264	4	23	23	NUM
ejpam-4126	264	5	)	)	PUNCT
ejpam-4126	264	6	,	,	PUNCT
ejpam-4126	264	7	2	2	NUM
ejpam-4126	264	8	3	3	NUM
ejpam-4126	264	9	,	,	PUNCT
ejpam-4126	264	10	x	x	PUNCT
ejpam-4126	264	11	∈	∈	PROPN
ejpam-4126	265	1	[	[	X
ejpam-4126	265	2	23	23	NUM
ejpam-4126	265	3	,	,	PUNCT
ejpam-4126	265	4	1	1	NUM
ejpam-4126	265	5	]	]	PUNCT
ejpam-4126	265	6	.	.	PUNCT
ejpam-4126	266	1	note	note	VERB
ejpam-4126	266	2	that	that	SCONJ
ejpam-4126	266	3	f	f	X
ejpam-4126	266	4	,	,	PUNCT
ejpam-4126	266	5	t	t	PROPN
ejpam-4126	266	6	,	,	PUNCT
ejpam-4126	266	7	r	r	NOUN
ejpam-4126	266	8	,	,	PUNCT
ejpam-4126	266	9	and	and	CCONJ
ejpam-4126	266	10	f	f	PROPN
ejpam-4126	266	11	satisfy	satisfy	NOUN
ejpam-4126	266	12	2gk(fx	2gk(fx	PROPN
ejpam-4126	266	13	,	,	PUNCT
ejpam-4126	266	14	ty	ty	PRON
ejpam-4126	266	15	,	,	PUNCT
ejpam-4126	266	16	rz	rz	NOUN
ejpam-4126	266	17	)	)	PUNCT
ejpam-4126	266	18	≤	≤	NUM
ejpam-4126	266	19	1	1	NUM
ejpam-4126	266	20	5	5	NUM
ejpam-4126	266	21	mk(x	mk(x	NOUN
ejpam-4126	266	22	,	,	PUNCT
ejpam-4126	266	23	y	y	NOUN
ejpam-4126	266	24	,	,	PUNCT
ejpam-4126	266	25	z	z	NOUN
ejpam-4126	266	26	)	)	PUNCT
ejpam-4126	267	1	+	+	CCONJ
ejpam-4126	267	2	lnk(x	lnk(x	PROPN
ejpam-4126	267	3	,	,	PUNCT
ejpam-4126	267	4	y	y	PROPN
ejpam-4126	267	5	,	,	PUNCT
ejpam-4126	267	6	z	z	NOUN
ejpam-4126	267	7	)	)	PUNCT
ejpam-4126	267	8	,	,	PUNCT
ejpam-4126	267	9	for	for	ADP
ejpam-4126	267	10	all	all	DET
ejpam-4126	267	11	x	x	NOUN
ejpam-4126	267	12	,	,	PUNCT
ejpam-4126	267	13	y	y	PROPN
ejpam-4126	267	14	,	,	PUNCT
ejpam-4126	267	15	z	z	NOUN
ejpam-4126	267	16	∈	∈	PROPN
ejpam-4126	267	17	x	x	X
ejpam-4126	267	18	and	and	CCONJ
ejpam-4126	267	19	l	l	PROPN
ejpam-4126	267	20	≥	≥	NOUN
ejpam-4126	267	21	0	0	NUM
ejpam-4126	267	22	.	.	PUNCT
ejpam-4126	268	1	in	in	ADP
ejpam-4126	268	2	addition	addition	NOUN
ejpam-4126	268	3	f(x	f(x	PROPN
ejpam-4126	268	4	)	)	PUNCT
ejpam-4126	268	5	=	=	PUNCT
ejpam-4126	269	1	[	[	X
ejpam-4126	269	2	−1	−1	NOUN
ejpam-4126	269	3	,	,	PUNCT
ejpam-4126	269	4	23	23	NUM
ejpam-4126	269	5	]	]	PUNCT
ejpam-4126	269	6	is	be	AUX
ejpam-4126	269	7	a	a	DET
ejpam-4126	269	8	gb	gb	ADV
ejpam-4126	269	9	-	-	PUNCT
ejpam-4126	269	10	complete	complete	ADJ
ejpam-4126	269	11	subspace	subspace	NOUN
ejpam-4126	269	12	of	of	ADP
ejpam-4126	269	13	x	x	PRON
ejpam-4126	269	14	,	,	PUNCT
ejpam-4126	269	15	f	f	PROPN
ejpam-4126	269	16	(	(	PUNCT
ejpam-4126	269	17	x	x	X
ejpam-4126	269	18	)	)	PUNCT
ejpam-4126	269	19	∪	∪	ADP
ejpam-4126	269	20	t	t	PROPN
ejpam-4126	269	21	(	(	PUNCT
ejpam-4126	269	22	x	x	NOUN
ejpam-4126	269	23	)	)	PUNCT
ejpam-4126	269	24	∪	∪	ADP
ejpam-4126	269	25	r(x	r(x	PROPN
ejpam-4126	269	26	)	)	PUNCT
ejpam-4126	269	27	⊂	⊂	PROPN
ejpam-4126	269	28	f(x	f(x	PROPN
ejpam-4126	269	29	)	)	PUNCT
ejpam-4126	269	30	,	,	PUNCT
ejpam-4126	269	31	and	and	CCONJ
ejpam-4126	269	32	the	the	DET
ejpam-4126	269	33	pairs	pair	NOUN
ejpam-4126	269	34	(	(	PUNCT
ejpam-4126	269	35	f	f	X
ejpam-4126	269	36	,	,	PUNCT
ejpam-4126	269	37	f	f	PROPN
ejpam-4126	269	38	)	)	PUNCT
ejpam-4126	269	39	,	,	PUNCT
ejpam-4126	269	40	(	(	PUNCT
ejpam-4126	269	41	f	f	X
ejpam-4126	269	42	,	,	PUNCT
ejpam-4126	269	43	t	t	PROPN
ejpam-4126	269	44	)	)	PUNCT
ejpam-4126	269	45	,	,	PUNCT
ejpam-4126	269	46	and	and	CCONJ
ejpam-4126	269	47	(	(	PUNCT
ejpam-4126	269	48	f	f	X
ejpam-4126	269	49	,	,	PUNCT
ejpam-4126	269	50	r	r	NOUN
ejpam-4126	269	51	)	)	PUNCT
ejpam-4126	269	52	are	be	AUX
ejpam-4126	269	53	weakly	weakly	ADV
ejpam-4126	269	54	compatible	compatible	ADJ
ejpam-4126	269	55	.	.	PUNCT
ejpam-4126	270	1	all	all	DET
ejpam-4126	270	2	the	the	DET
ejpam-4126	270	3	conditions	condition	NOUN
ejpam-4126	270	4	of	of	ADP
ejpam-4126	270	5	theorem	theorem	ADJ
ejpam-4126	270	6	2	2	NUM
ejpam-4126	270	7	are	be	AUX
ejpam-4126	270	8	thus	thus	ADV
ejpam-4126	270	9	verified	verify	VERB
ejpam-4126	270	10	.	.	PUNCT
ejpam-4126	271	1	as	as	ADP
ejpam-4126	271	2	a	a	DET
ejpam-4126	271	3	consequence	consequence	NOUN
ejpam-4126	271	4	−1	−1	NOUN
ejpam-4126	271	5	4	4	NUM
ejpam-4126	271	6	is	be	AUX
ejpam-4126	271	7	the	the	DET
ejpam-4126	271	8	unique	unique	ADJ
ejpam-4126	271	9	point	point	NOUN
ejpam-4126	271	10	of	of	ADP
ejpam-4126	271	11	coincidence	coincidence	NOUN
ejpam-4126	271	12	and	and	CCONJ
ejpam-4126	271	13	the	the	DET
ejpam-4126	271	14	unique	unique	ADJ
ejpam-4126	271	15	common	common	ADJ
ejpam-4126	271	16	fixed	fix	VERB
ejpam-4126	271	17	point	point	NOUN
ejpam-4126	271	18	for	for	ADP
ejpam-4126	271	19	all	all	PRON
ejpam-4126	271	20	of	of	ADP
ejpam-4126	271	21	the	the	DET
ejpam-4126	271	22	mappings	mapping	NOUN
ejpam-4126	271	23	f	f	X
ejpam-4126	271	24	,	,	PUNCT
ejpam-4126	271	25	t	t	PROPN
ejpam-4126	271	26	,	,	PUNCT
ejpam-4126	271	27	r	r	NOUN
ejpam-4126	271	28	,	,	PUNCT
ejpam-4126	271	29	and	and	CCONJ
ejpam-4126	271	30	f	f	X
ejpam-4126	271	31	.	.	PUNCT
ejpam-4126	272	1	the	the	DET
ejpam-4126	272	2	following	following	ADJ
ejpam-4126	272	3	result	result	NOUN
ejpam-4126	272	4	derives	derive	VERB
ejpam-4126	272	5	from	from	ADP
ejpam-4126	272	6	theorem	theorem	ADJ
ejpam-4126	272	7	2	2	NUM
ejpam-4126	272	8	.	.	PUNCT
ejpam-4126	272	9	corollary	corollary	ADJ
ejpam-4126	272	10	2	2	NUM
ejpam-4126	272	11	.	.	PUNCT
ejpam-4126	273	1	let	let	AUX
ejpam-4126	273	2	(	(	PUNCT
ejpam-4126	273	3	x	x	NOUN
ejpam-4126	273	4	,	,	PUNCT
ejpam-4126	273	5	g	g	NOUN
ejpam-4126	273	6	)	)	PUNCT
ejpam-4126	273	7	be	be	AUX
ejpam-4126	273	8	a	a	DET
ejpam-4126	273	9	cone	cone	NOUN
ejpam-4126	273	10	g	g	NOUN
ejpam-4126	273	11	-	-	PUNCT
ejpam-4126	273	12	metric	metric	ADJ
ejpam-4126	273	13	space	space	NOUN
ejpam-4126	273	14	relative	relative	ADJ
ejpam-4126	273	15	to	to	ADP
ejpam-4126	273	16	a	a	DET
ejpam-4126	273	17	normal	normal	ADJ
ejpam-4126	273	18	constant	constant	ADJ
ejpam-4126	273	19	k	k	PROPN
ejpam-4126	273	20	≥	≥	NUM
ejpam-4126	273	21	1	1	NUM
ejpam-4126	273	22	.	.	PUNCT
ejpam-4126	273	23	suppose	suppose	VERB
ejpam-4126	273	24	that	that	SCONJ
ejpam-4126	273	25	the	the	DET
ejpam-4126	273	26	mappings	mapping	NOUN
ejpam-4126	273	27	f	f	X
ejpam-4126	273	28	,	,	PUNCT
ejpam-4126	273	29	t	t	PROPN
ejpam-4126	273	30	,	,	PUNCT
ejpam-4126	273	31	r	r	NOUN
ejpam-4126	273	32	,	,	PUNCT
ejpam-4126	273	33	f	f	NOUN
ejpam-4126	273	34	:	:	PUNCT
ejpam-4126	273	35	x	x	X
ejpam-4126	273	36	→	→	SYM
ejpam-4126	273	37	x	x	PART
ejpam-4126	273	38	satisfy	satisfy	NOUN
ejpam-4126	273	39	gk(fx	gk(fx	NOUN
ejpam-4126	273	40	,	,	PUNCT
ejpam-4126	273	41	ty	ty	INTJ
ejpam-4126	273	42	,	,	PUNCT
ejpam-4126	273	43	rz	rz	NOUN
ejpam-4126	273	44	)	)	PUNCT
ejpam-4126	273	45	≤	≤	NOUN
ejpam-4126	273	46	λmk(x	λmk(x	PROPN
ejpam-4126	273	47	,	,	PUNCT
ejpam-4126	273	48	y	y	PROPN
ejpam-4126	273	49	,	,	PUNCT
ejpam-4126	273	50	z	z	NOUN
ejpam-4126	273	51	)	)	PUNCT
ejpam-4126	274	1	+	+	CCONJ
ejpam-4126	274	2	lnk(x	lnk(x	PROPN
ejpam-4126	274	3	,	,	PUNCT
ejpam-4126	274	4	y	y	PROPN
ejpam-4126	274	5	,	,	PUNCT
ejpam-4126	274	6	z	z	NOUN
ejpam-4126	274	7	)	)	PUNCT
ejpam-4126	274	8	,	,	PUNCT
ejpam-4126	274	9	for	for	ADP
ejpam-4126	274	10	all	all	DET
ejpam-4126	274	11	x	x	NOUN
ejpam-4126	274	12	,	,	PUNCT
ejpam-4126	274	13	y	y	PROPN
ejpam-4126	274	14	,	,	PUNCT
ejpam-4126	274	15	z	z	PROPN
ejpam-4126	274	16	∈	∈	PROPN
ejpam-4126	274	17	x	x	X
ejpam-4126	274	18	,	,	PUNCT
ejpam-4126	274	19	λ	λ	PROPN
ejpam-4126	274	20	∈	∈	PROPN
ejpam-4126	275	1	[	[	X
ejpam-4126	275	2	0	0	NUM
ejpam-4126	275	3	,	,	PUNCT
ejpam-4126	275	4	1	1	NUM
ejpam-4126	275	5	2k	2k	NUM
ejpam-4126	275	6	)	)	PUNCT
ejpam-4126	275	7	and	and	CCONJ
ejpam-4126	275	8	l	l	NOUN
ejpam-4126	275	9	≥	≥	NOUN
ejpam-4126	275	10	0	0	NUM
ejpam-4126	275	11	.	.	PUNCT
ejpam-4126	276	1	if	if	SCONJ
ejpam-4126	276	2	f	f	PROPN
ejpam-4126	276	3	(	(	PUNCT
ejpam-4126	276	4	x	x	X
ejpam-4126	276	5	)	)	PUNCT
ejpam-4126	276	6	∪	∪	ADP
ejpam-4126	276	7	t	t	PROPN
ejpam-4126	276	8	(	(	PUNCT
ejpam-4126	276	9	x	x	NOUN
ejpam-4126	276	10	)	)	PUNCT
ejpam-4126	276	11	∪	∪	ADP
ejpam-4126	276	12	r(x	r(x	PROPN
ejpam-4126	276	13	)	)	PUNCT
ejpam-4126	276	14	⊂	⊂	PROPN
ejpam-4126	276	15	f(x	f(x	PROPN
ejpam-4126	276	16	)	)	PUNCT
ejpam-4126	276	17	and	and	CCONJ
ejpam-4126	276	18	f(x	f(x	PROPN
ejpam-4126	276	19	)	)	PUNCT
ejpam-4126	276	20	is	be	AUX
ejpam-4126	276	21	a	a	DET
ejpam-4126	276	22	g	g	NOUN
ejpam-4126	276	23	-	-	PUNCT
ejpam-4126	276	24	complete	complete	ADJ
ejpam-4126	276	25	subspace	subspace	NOUN
ejpam-4126	276	26	of	of	ADP
ejpam-4126	276	27	x	x	PRON
ejpam-4126	276	28	,	,	PUNCT
ejpam-4126	276	29	then	then	ADV
ejpam-4126	276	30	f	f	X
ejpam-4126	276	31	,	,	PUNCT
ejpam-4126	276	32	t	t	PROPN
ejpam-4126	276	33	,	,	PUNCT
ejpam-4126	276	34	r	r	NOUN
ejpam-4126	276	35	,	,	PUNCT
ejpam-4126	276	36	and	and	CCONJ
ejpam-4126	276	37	f	f	PROPN
ejpam-4126	276	38	have	have	VERB
ejpam-4126	276	39	a	a	DET
ejpam-4126	276	40	unique	unique	ADJ
ejpam-4126	276	41	point	point	NOUN
ejpam-4126	276	42	of	of	ADP
ejpam-4126	276	43	coincidence	coincidence	NOUN
ejpam-4126	276	44	in	in	ADP
ejpam-4126	276	45	x.	x.	NOUN
ejpam-4126	276	46	if	if	SCONJ
ejpam-4126	276	47	further	far	ADV
ejpam-4126	276	48	the	the	DET
ejpam-4126	276	49	pairs	pair	NOUN
ejpam-4126	276	50	(	(	PUNCT
ejpam-4126	276	51	f	f	X
ejpam-4126	276	52	,	,	PUNCT
ejpam-4126	276	53	f	f	PROPN
ejpam-4126	276	54	)	)	PUNCT
ejpam-4126	276	55	,	,	PUNCT
ejpam-4126	276	56	(	(	PUNCT
ejpam-4126	276	57	f	f	X
ejpam-4126	276	58	,	,	PUNCT
ejpam-4126	276	59	t	t	PROPN
ejpam-4126	276	60	)	)	PUNCT
ejpam-4126	276	61	and	and	CCONJ
ejpam-4126	276	62	(	(	PUNCT
ejpam-4126	276	63	f	f	X
ejpam-4126	276	64	,	,	PUNCT
ejpam-4126	276	65	r	r	NOUN
ejpam-4126	276	66	)	)	PUNCT
ejpam-4126	276	67	are	be	AUX
ejpam-4126	276	68	weakly	weakly	ADV
ejpam-4126	276	69	compatible	compatible	ADJ
ejpam-4126	276	70	,	,	PUNCT
ejpam-4126	276	71	then	then	ADV
ejpam-4126	276	72	f	f	X
ejpam-4126	276	73	,	,	PUNCT
ejpam-4126	276	74	t	t	PROPN
ejpam-4126	276	75	,	,	PUNCT
ejpam-4126	276	76	r	r	NOUN
ejpam-4126	276	77	,	,	PUNCT
ejpam-4126	276	78	and	and	CCONJ
ejpam-4126	276	79	f	f	PROPN
ejpam-4126	276	80	have	have	VERB
ejpam-4126	276	81	a	a	DET
ejpam-4126	276	82	unique	unique	ADJ
ejpam-4126	276	83	common	common	ADJ
ejpam-4126	276	84	fixed	fix	VERB
ejpam-4126	276	85	point	point	NOUN
ejpam-4126	276	86	.	.	PUNCT
ejpam-4126	277	1	remark	remark	PROPN
ejpam-4126	277	2	1	1	NUM
ejpam-4126	277	3	.	.	PUNCT
ejpam-4126	278	1	(	(	PUNCT
ejpam-4126	278	2	1	1	X
ejpam-4126	278	3	)	)	PUNCT
ejpam-4126	278	4	let	let	VERB
ejpam-4126	278	5	f	f	NOUN
ejpam-4126	278	6	=	=	SYM
ejpam-4126	278	7	r	r	NOUN
ejpam-4126	278	8	=	=	SYM
ejpam-4126	278	9	s	s	PROPN
ejpam-4126	278	10	and	and	CCONJ
ejpam-4126	278	11	f	f	PROPN
ejpam-4126	279	1	=	=	SYM
ejpam-4126	279	2	i	i	PROPN
ejpam-4126	279	3	in	in	ADP
ejpam-4126	279	4	theorem	theorem	NOUN
ejpam-4126	279	5	1	1	NUM
ejpam-4126	279	6	.	.	PUNCT
ejpam-4126	279	7	then	then	ADV
ejpam-4126	279	8	theorem	theorem	VERB
ejpam-4126	279	9	1	1	NUM
ejpam-4126	279	10	improves	improve	VERB
ejpam-4126	279	11	[	[	X
ejpam-4126	279	12	3	3	NUM
ejpam-4126	279	13	,	,	PUNCT
ejpam-4126	279	14	theorem	theorem	VERB
ejpam-4126	279	15	3.2	3.2	NUM
ejpam-4126	279	16	]	]	PUNCT
ejpam-4126	279	17	.	.	PUNCT
ejpam-4126	280	1	(	(	PUNCT
ejpam-4126	280	2	2	2	X
ejpam-4126	280	3	)	)	PUNCT
ejpam-4126	280	4	corollary	corollary	NOUN
ejpam-4126	280	5	1	1	NUM
ejpam-4126	280	6	with	with	ADP
ejpam-4126	280	7	f	f	NOUN
ejpam-4126	280	8	=	=	SYM
ejpam-4126	280	9	r	r	NOUN
ejpam-4126	280	10	=	=	PUNCT
ejpam-4126	280	11	s	s	X
ejpam-4126	280	12	extends	extend	VERB
ejpam-4126	280	13	[	[	X
ejpam-4126	280	14	9	9	NUM
ejpam-4126	280	15	,	,	PUNCT
ejpam-4126	280	16	theorem	theorem	VERB
ejpam-4126	280	17	2.1	2.1	NUM
ejpam-4126	280	18	]	]	PUNCT
ejpam-4126	280	19	.	.	PUNCT
ejpam-4126	281	1	references	reference	NOUN
ejpam-4126	281	2	1365	1365	NUM
ejpam-4126	281	3	(	(	PUNCT
ejpam-4126	281	4	3	3	X
ejpam-4126	281	5	)	)	PUNCT
ejpam-4126	281	6	if	if	SCONJ
ejpam-4126	281	7	in	in	ADP
ejpam-4126	281	8	corollary	corollary	ADJ
ejpam-4126	281	9	1	1	NUM
ejpam-4126	281	10	,	,	PUNCT
ejpam-4126	281	11	we	we	PRON
ejpam-4126	281	12	set	set	VERB
ejpam-4126	281	13	f	f	NOUN
ejpam-4126	281	14	=	=	SYM
ejpam-4126	281	15	r	r	NOUN
ejpam-4126	281	16	=	=	SYM
ejpam-4126	281	17	s	s	PROPN
ejpam-4126	281	18	and	and	CCONJ
ejpam-4126	281	19	f	f	PROPN
ejpam-4126	282	1	=	=	SYM
ejpam-4126	282	2	i	i	PROPN
ejpam-4126	282	3	,	,	PUNCT
ejpam-4126	282	4	then	then	ADV
ejpam-4126	282	5	we	we	PRON
ejpam-4126	282	6	obtain	obtain	VERB
ejpam-4126	282	7	an	an	DET
ejpam-4126	282	8	extension	extension	NOUN
ejpam-4126	282	9	of	of	ADP
ejpam-4126	282	10	[	[	X
ejpam-4126	282	11	11	11	NUM
ejpam-4126	282	12	,	,	PUNCT
ejpam-4126	282	13	theorem	theorem	VERB
ejpam-4126	282	14	2.7	2.7	NUM
ejpam-4126	282	15	]	]	PUNCT
ejpam-4126	282	16	.	.	PUNCT
ejpam-4126	283	1	(	(	PUNCT
ejpam-4126	283	2	4	4	X
ejpam-4126	283	3	)	)	PUNCT
ejpam-4126	283	4	t	t	NOUN
ejpam-4126	283	5	=	=	SYM
ejpam-4126	283	6	r	r	NOUN
ejpam-4126	283	7	and	and	CCONJ
ejpam-4126	283	8	z	z	NOUN
ejpam-4126	283	9	=	=	SYM
ejpam-4126	283	10	y	y	PROPN
ejpam-4126	283	11	in	in	ADP
ejpam-4126	283	12	theorem	theorem	ADJ
ejpam-4126	283	13	2	2	NUM
ejpam-4126	283	14	leads	lead	VERB
ejpam-4126	283	15	to	to	ADP
ejpam-4126	283	16	a	a	DET
ejpam-4126	283	17	generalization	generalization	NOUN
ejpam-4126	283	18	of	of	ADP
ejpam-4126	283	19	[	[	X
ejpam-4126	283	20	16	16	NUM
ejpam-4126	283	21	,	,	PUNCT
ejpam-4126	283	22	theorem	theorem	VERB
ejpam-4126	283	23	2.1	2.1	NUM
ejpam-4126	283	24	]	]	PUNCT
ejpam-4126	283	25	with	with	ADP
ejpam-4126	283	26	m	m	PROPN
ejpam-4126	283	27	=	=	PROPN
ejpam-4126	283	28	t	t	PROPN
ejpam-4126	283	29	.	.	PUNCT
ejpam-4126	284	1	(	(	PUNCT
ejpam-4126	284	2	5	5	NUM
ejpam-4126	284	3	)	)	PUNCT
ejpam-4126	284	4	corollary	corollary	NOUN
ejpam-4126	284	5	2	2	NUM
ejpam-4126	284	6	with	with	ADP
ejpam-4126	284	7	f	f	NOUN
ejpam-4126	284	8	=	=	SYM
ejpam-4126	284	9	r	r	NOUN
ejpam-4126	284	10	=	=	SYM
ejpam-4126	284	11	s	s	PROPN
ejpam-4126	284	12	,	,	PUNCT
ejpam-4126	284	13	f	f	X
ejpam-4126	285	1	=	=	PUNCT
ejpam-4126	285	2	i	i	PROPN
ejpam-4126	285	3	,	,	PUNCT
ejpam-4126	285	4	and	and	CCONJ
ejpam-4126	285	5	z	z	NOUN
ejpam-4126	285	6	=	=	SYM
ejpam-4126	285	7	y	y	PROPN
ejpam-4126	285	8	is	be	AUX
ejpam-4126	285	9	an	an	DET
ejpam-4126	285	10	extension	extension	NOUN
ejpam-4126	285	11	of	of	ADP
ejpam-4126	285	12	[	[	X
ejpam-4126	285	13	2	2	NUM
ejpam-4126	285	14	,	,	PUNCT
ejpam-4126	285	15	theorem	theorem	VERB
ejpam-4126	285	16	2.1	2.1	NUM
ejpam-4126	285	17	,	,	PUNCT
ejpam-4126	285	18	theorem	theorem	VERB
ejpam-4126	285	19	2.5	2.5	NUM
ejpam-4126	285	20	,	,	PUNCT
ejpam-4126	285	21	theorem	theorem	VERB
ejpam-4126	285	22	2.8	2.8	NUM
ejpam-4126	285	23	]	]	PUNCT
ejpam-4126	285	24	.	.	PUNCT
ejpam-4126	286	1	acknowledgements	acknowledgement	NOUN
ejpam-4126	286	2	the	the	DET
ejpam-4126	286	3	authors	author	NOUN
ejpam-4126	286	4	are	be	AUX
ejpam-4126	286	5	grateful	grateful	ADJ
ejpam-4126	286	6	to	to	ADP
ejpam-4126	286	7	the	the	DET
ejpam-4126	286	8	direction	direction	NOUN
ejpam-4126	286	9	générale	générale	PROPN
ejpam-4126	286	10	de	de	X
ejpam-4126	286	11	la	la	X
ejpam-4126	286	12	recherche	recherche	X
ejpam-4126	286	13	scientifique	scientifique	X
ejpam-4126	286	14	et	et	PROPN
ejpam-4126	286	15	de	de	PROPN
ejpam-4126	286	16	développement	développement	PROPN
ejpam-4126	286	17	technologique	technologique	PROPN
ejpam-4126	286	18	in	in	ADP
ejpam-4126	286	19	algeria	algeria	PROPN
ejpam-4126	286	20	for	for	ADP
ejpam-4126	286	21	supporting	support	VERB
ejpam-4126	286	22	this	this	DET
ejpam-4126	286	23	work	work	NOUN
ejpam-4126	286	24	.	.	PUNCT
ejpam-4126	287	1	the	the	DET
ejpam-4126	287	2	authors	author	NOUN
ejpam-4126	287	3	thank	thank	VERB
ejpam-4126	287	4	the	the	DET
ejpam-4126	287	5	anonymous	anonymous	ADJ
ejpam-4126	287	6	referees	referee	NOUN
ejpam-4126	287	7	for	for	ADP
ejpam-4126	287	8	their	their	PRON
ejpam-4126	287	9	careful	careful	ADJ
ejpam-4126	287	10	reading	reading	NOUN
ejpam-4126	287	11	of	of	ADP
ejpam-4126	287	12	the	the	DET
ejpam-4126	287	13	original	original	ADJ
ejpam-4126	287	14	manuscript	manuscript	NOUN
ejpam-4126	287	15	.	.	PUNCT
ejpam-4126	288	1	references	reference	NOUN
ejpam-4126	288	2	[	[	X
ejpam-4126	288	3	1	1	NUM
ejpam-4126	288	4	]	]	X
ejpam-4126	288	5	a.e	a.e	PROPN
ejpam-4126	288	6	.	.	PROPN
ejpam-4126	288	7	al	al	PROPN
ejpam-4126	288	8	-	-	PUNCT
ejpam-4126	288	9	mazrooei	mazrooei	PROPN
ejpam-4126	288	10	;	;	PUNCT
ejpam-4126	288	11	j.	j.	PROPN
ejpam-4126	288	12	ahmad	ahmad	PROPN
ejpam-4126	288	13	.	.	PUNCT
ejpam-4126	289	1	fixed	fix	VERB
ejpam-4126	289	2	point	point	NOUN
ejpam-4126	289	3	results	result	NOUN
ejpam-4126	289	4	for	for	ADP
ejpam-4126	289	5	multivalued	multivalued	ADJ
ejpam-4126	289	6	mappings	mapping	NOUN
ejpam-4126	289	7	in	in	ADP
ejpam-4126	289	8	gb	gb	NOUN
ejpam-4126	289	9	-	-	PUNCT
ejpam-4126	289	10	cone	cone	NOUN
ejpam-4126	289	11	metric	metric	ADJ
ejpam-4126	289	12	spaces	space	NOUN
ejpam-4126	289	13	.	.	PUNCT
ejpam-4126	290	1	j.	j.	PROPN
ejpam-4126	290	2	nonlinear	nonlinear	PROPN
ejpam-4126	290	3	sci	sci	PROPN
ejpam-4126	290	4	.	.	PUNCT
ejpam-4126	290	5	appl	appl	PROPN
ejpam-4126	290	6	.	.	PROPN
ejpam-4126	291	1	,	,	PUNCT
ejpam-4126	291	2	10(9):4866–4875	10(9):4866–4875	NUM
ejpam-4126	291	3	,	,	PUNCT
ejpam-4126	291	4	2017	2017	NUM
ejpam-4126	291	5	.	.	PUNCT
ejpam-4126	292	1	[	[	X
ejpam-4126	292	2	2	2	X
ejpam-4126	292	3	]	]	PUNCT
ejpam-4126	292	4	z.	z.	PROPN
ejpam-4126	292	5	mustafa	mustafa	PROPN
ejpam-4126	292	6	;	;	PUNCT
ejpam-4126	292	7	h.	h.	PROPN
ejpam-4126	292	8	obiedat	obiedat	PROPN
ejpam-4126	292	9	;	;	PUNCT
ejpam-4126	292	10	f.	f.	PROPN
ejpam-4126	292	11	awawdeh	awawdeh	PROPN
ejpam-4126	292	12	.	.	PUNCT
ejpam-4126	293	1	some	some	DET
ejpam-4126	293	2	fixed	fix	VERB
ejpam-4126	293	3	point	point	NOUN
ejpam-4126	293	4	theorem	theorem	NOUN
ejpam-4126	293	5	for	for	ADP
ejpam-4126	293	6	mapping	mapping	NOUN
ejpam-4126	293	7	on	on	ADP
ejpam-4126	293	8	complete	complete	ADJ
ejpam-4126	293	9	g	g	NOUN
ejpam-4126	293	10	-	-	PUNCT
ejpam-4126	293	11	metric	metric	ADJ
ejpam-4126	293	12	spaces	space	NOUN
ejpam-4126	293	13	.	.	PUNCT
ejpam-4126	294	1	fixed	fix	VERB
ejpam-4126	294	2	point	point	NOUN
ejpam-4126	294	3	theory	theory	NOUN
ejpam-4126	294	4	appl	appl	PROPN
ejpam-4126	294	5	.	.	PROPN
ejpam-4126	294	6	,	,	PUNCT
ejpam-4126	294	7	art	art	NOUN
ejpam-4126	294	8	.	.	PUNCT
ejpam-4126	295	1	i	i	PRON
ejpam-4126	295	2	d	d	PROPN
ejpam-4126	295	3	189870:12	189870:12	NUM
ejpam-4126	295	4	pp	pp	ADP
ejpam-4126	295	5	.	.	PUNCT
ejpam-4126	295	6	,	,	PUNCT
ejpam-4126	295	7	2008	2008	NUM
ejpam-4126	295	8	.	.	PUNCT
ejpam-4126	296	1	[	[	X
ejpam-4126	296	2	3	3	NUM
ejpam-4126	296	3	]	]	PUNCT
ejpam-4126	296	4	m.	m.	NOUN
ejpam-4126	296	5	ughade	ughade	PROPN
ejpam-4126	296	6	;	;	PUNCT
ejpam-4126	296	7	r.d	r.d	PROPN
ejpam-4126	296	8	.	.	PROPN
ejpam-4126	296	9	daheriya	daheriya	PROPN
ejpam-4126	296	10	.	.	PUNCT
ejpam-4126	297	1	fixed	fix	VERB
ejpam-4126	297	2	point	point	NOUN
ejpam-4126	297	3	results	result	NOUN
ejpam-4126	297	4	for	for	ADP
ejpam-4126	297	5	contraction	contraction	NOUN
ejpam-4126	297	6	mappings	mapping	NOUN
ejpam-4126	297	7	in	in	ADP
ejpam-4126	297	8	gb	gb	NOUN
ejpam-4126	297	9	-	-	PUNCT
ejpam-4126	297	10	cone	cone	NOUN
ejpam-4126	297	11	metric	metric	ADJ
ejpam-4126	297	12	spaces	space	NOUN
ejpam-4126	297	13	.	.	PUNCT
ejpam-4126	298	1	gazi	gazi	PROPN
ejpam-4126	298	2	univ	univ	PROPN
ejpam-4126	298	3	.	.	PUNCT
ejpam-4126	299	1	j.	j.	PROPN
ejpam-4126	299	2	sci	sci	PROPN
ejpam-4126	299	3	.	.	PROPN
ejpam-4126	299	4	,	,	PUNCT
ejpam-4126	299	5	28:659–67	28:659–67	NUM
ejpam-4126	299	6	,	,	PUNCT
ejpam-4126	299	7	2015	2015	NUM
ejpam-4126	299	8	.	.	PUNCT
ejpam-4126	300	1	[	[	X
ejpam-4126	300	2	4	4	NUM
ejpam-4126	300	3	]	]	X
ejpam-4126	300	4	r.p	r.p	PROPN
ejpam-4126	300	5	.	.	PROPN
ejpam-4126	300	6	agarwal	agarwal	PROPN
ejpam-4126	300	7	;	;	PUNCT
ejpam-4126	300	8	e.	e.	PROPN
ejpam-4126	300	9	karapınar	karapınar	PROPN
ejpam-4126	300	10	;	;	PUNCT
ejpam-4126	300	11	d.	d.	PROPN
ejpam-4126	300	12	o’regan	o’regan	PROPN
ejpam-4126	300	13	;	;	PUNCT
ejpam-4126	300	14	a.f	a.f	PROPN
ejpam-4126	300	15	.	.	PUNCT
ejpam-4126	300	16	roldán	roldán	NOUN
ejpam-4126	300	17	-	-	PUNCT
ejpam-4126	300	18	lópez	lópez	PROPN
ejpam-4126	300	19	de	de	PROPN
ejpam-4126	300	20	hierro	hierro	PROPN
ejpam-4126	300	21	.	.	PROPN
ejpam-4126	300	22	fixed	fix	VERB
ejpam-4126	300	23	point	point	NOUN
ejpam-4126	300	24	theory	theory	NOUN
ejpam-4126	300	25	in	in	ADP
ejpam-4126	300	26	metric	metric	ADJ
ejpam-4126	300	27	type	type	NOUN
ejpam-4126	300	28	spaces	space	NOUN
ejpam-4126	300	29	.	.	PUNCT
ejpam-4126	301	1	springer	springer	NOUN
ejpam-4126	301	2	,	,	PUNCT
ejpam-4126	301	3	cham	cham	PROPN
ejpam-4126	301	4	.	.	PUNCT
ejpam-4126	301	5	,	,	PUNCT
ejpam-4126	301	6	page	page	NOUN
ejpam-4126	301	7	385	385	NUM
ejpam-4126	301	8	pp	pp	ADP
ejpam-4126	301	9	.	.	PUNCT
ejpam-4126	301	10	,	,	PUNCT
ejpam-4126	301	11	2015	2015	NUM
ejpam-4126	301	12	.	.	PUNCT
ejpam-4126	302	1	[	[	X
ejpam-4126	302	2	5	5	X
ejpam-4126	302	3	]	]	X
ejpam-4126	302	4	d.	d.	PROPN
ejpam-4126	303	1	dorić.	dorić.	PROPN
ejpam-4126	303	2	common	common	ADJ
ejpam-4126	303	3	fixed	fix	VERB
ejpam-4126	303	4	point	point	NOUN
ejpam-4126	303	5	theorems	theorem	NOUN
ejpam-4126	303	6	for	for	ADP
ejpam-4126	303	7	generalized	generalize	VERB
ejpam-4126	303	8	multivalued	multivalued	ADJ
ejpam-4126	303	9	contractions	contraction	NOUN
ejpam-4126	303	10	on	on	ADP
ejpam-4126	303	11	cone	cone	NOUN
ejpam-4126	303	12	metric	metric	ADJ
ejpam-4126	303	13	spaces	space	NOUN
ejpam-4126	303	14	over	over	ADP
ejpam-4126	303	15	a	a	DET
ejpam-4126	303	16	non	non	ADJ
ejpam-4126	303	17	-	-	ADJ
ejpam-4126	303	18	normal	normal	ADJ
ejpam-4126	303	19	solid	solid	ADJ
ejpam-4126	303	20	cone	cone	NOUN
ejpam-4126	303	21	.	.	PUNCT
ejpam-4126	304	1	fixed	fix	VERB
ejpam-4126	304	2	point	point	NOUN
ejpam-4126	304	3	theory	theory	NOUN
ejpam-4126	304	4	appl	appl	PROPN
ejpam-4126	304	5	.	.	PROPN
ejpam-4126	305	1	,	,	PUNCT
ejpam-4126	305	2	159:12	159:12	NUM
ejpam-4126	305	3	pp	pp	NOUN
ejpam-4126	305	4	.	.	PUNCT
ejpam-4126	305	5	,	,	PUNCT
ejpam-4126	305	6	2014	2014	NUM
ejpam-4126	305	7	.	.	PUNCT
ejpam-4126	306	1	[	[	X
ejpam-4126	306	2	6	6	NUM
ejpam-4126	306	3	]	]	X
ejpam-4126	306	4	sh	sh	PROPN
ejpam-4126	306	5	.	.	PROPN
ejpam-4126	306	6	rezapour	rezapour	PROPN
ejpam-4126	306	7	;	;	PUNCT
ejpam-4126	306	8	r.	r.	PROPN
ejpam-4126	306	9	hamlbarani	hamlbarani	PROPN
ejpam-4126	306	10	.	.	PUNCT
ejpam-4126	307	1	some	some	DET
ejpam-4126	307	2	notes	note	NOUN
ejpam-4126	307	3	on	on	ADP
ejpam-4126	307	4	the	the	DET
ejpam-4126	307	5	paper	paper	NOUN
ejpam-4126	307	6	:	:	PUNCT
ejpam-4126	307	7	”	"	PUNCT
ejpam-4126	307	8	cone	cone	X
ejpam-4126	307	9	metric	metric	ADJ
ejpam-4126	307	10	spaces	space	NOUN
ejpam-4126	307	11	and	and	CCONJ
ejpam-4126	307	12	fixed	fix	VERB
ejpam-4126	307	13	point	point	NOUN
ejpam-4126	307	14	theorems	theorem	NOUN
ejpam-4126	307	15	of	of	ADP
ejpam-4126	307	16	contractive	contractive	ADJ
ejpam-4126	307	17	mappings	mapping	NOUN
ejpam-4126	307	18	”	"	PUNCT
ejpam-4126	307	19	[	[	X
ejpam-4126	307	20	j.	j.	PROPN
ejpam-4126	307	21	math	math	PROPN
ejpam-4126	307	22	.	.	PUNCT
ejpam-4126	308	1	anal	anal	PROPN
ejpam-4126	308	2	.	.	PUNCT
ejpam-4126	308	3	appl	appl	PROPN
ejpam-4126	308	4	.	.	PUNCT
ejpam-4126	309	1	332	332	NUM
ejpam-4126	309	2	(	(	PUNCT
ejpam-4126	309	3	2007	2007	NUM
ejpam-4126	309	4	)	)	PUNCT
ejpam-4126	309	5	,	,	PUNCT
ejpam-4126	309	6	no	no	INTJ
ejpam-4126	309	7	.	.	NOUN
ejpam-4126	309	8	2	2	NUM
ejpam-4126	309	9	,	,	PUNCT
ejpam-4126	309	10	1468–1476	1468–1476	NUM
ejpam-4126	309	11	;	;	PUNCT
ejpam-4126	309	12	mr2324351	mr2324351	NOUN
ejpam-4126	309	13	]	]	PUNCT
ejpam-4126	309	14	by	by	ADP
ejpam-4126	309	15	l.-g	l.-g	PROPN
ejpam-4126	309	16	.	.	PUNCT
ejpam-4126	310	1	huang	huang	PROPN
ejpam-4126	310	2	and	and	CCONJ
ejpam-4126	310	3	x.	x.	PROPN
ejpam-4126	310	4	zhang	zhang	PROPN
ejpam-4126	310	5	.	.	PUNCT
ejpam-4126	311	1	j.	j.	PROPN
ejpam-4126	311	2	math	math	PROPN
ejpam-4126	311	3	.	.	PUNCT
ejpam-4126	312	1	anal	anal	PROPN
ejpam-4126	312	2	.	.	PUNCT
ejpam-4126	313	1	appl	appl	PROPN
ejpam-4126	313	2	.	.	PROPN
ejpam-4126	313	3	,	,	PUNCT
ejpam-4126	313	4	345(2):719	345(2):719	NUM
ejpam-4126	313	5	–	–	PUNCT
ejpam-4126	313	6	724	724	NUM
ejpam-4126	313	7	,	,	PUNCT
ejpam-4126	313	8	2008	2008	NUM
ejpam-4126	313	9	.	.	PUNCT
ejpam-4126	314	1	[	[	X
ejpam-4126	314	2	7	7	X
ejpam-4126	314	3	]	]	PUNCT
ejpam-4126	314	4	m.	m.	NOUN
ejpam-4126	314	5	abbas	abbas	PROPN
ejpam-4126	314	6	;	;	PUNCT
ejpam-4126	314	7	g.	g.	PROPN
ejpam-4126	314	8	jungck	jungck	PROPN
ejpam-4126	314	9	.	.	PUNCT
ejpam-4126	315	1	common	common	ADJ
ejpam-4126	315	2	fixed	fix	VERB
ejpam-4126	315	3	point	point	NOUN
ejpam-4126	315	4	results	result	NOUN
ejpam-4126	315	5	for	for	ADP
ejpam-4126	315	6	noncommuting	noncommute	VERB
ejpam-4126	315	7	mappings	mapping	NOUN
ejpam-4126	315	8	without	without	ADP
ejpam-4126	315	9	continuity	continuity	NOUN
ejpam-4126	315	10	in	in	ADP
ejpam-4126	315	11	cone	cone	NOUN
ejpam-4126	315	12	metric	metric	ADJ
ejpam-4126	315	13	spaces	space	NOUN
ejpam-4126	315	14	.	.	PUNCT
ejpam-4126	316	1	j.	j.	PROPN
ejpam-4126	316	2	math	math	PROPN
ejpam-4126	316	3	.	.	PUNCT
ejpam-4126	317	1	anal	anal	PROPN
ejpam-4126	317	2	.	.	PUNCT
ejpam-4126	318	1	appl	appl	PROPN
ejpam-4126	318	2	.	.	PROPN
ejpam-4126	318	3	,	,	PUNCT
ejpam-4126	319	1	341(1):416–420	341(1):416–420	PROPN
ejpam-4126	319	2	,	,	PUNCT
ejpam-4126	319	3	2008	2008	NUM
ejpam-4126	319	4	.	.	PUNCT
ejpam-4126	320	1	[	[	X
ejpam-4126	320	2	8	8	NUM
ejpam-4126	320	3	]	]	X
ejpam-4126	320	4	r.d	r.d	PROPN
ejpam-4126	320	5	.	.	PROPN
ejpam-4126	320	6	daheriya	daheriya	PROPN
ejpam-4126	320	7	;	;	PUNCT
ejpam-4126	320	8	m.	m.	NOUN
ejpam-4126	320	9	ughade	ughade	PROPN
ejpam-4126	320	10	;	;	PUNCT
ejpam-4126	320	11	m.	m.	NOUN
ejpam-4126	320	12	likhitker	likhitker	NOUN
ejpam-4126	320	13	.	.	PUNCT
ejpam-4126	321	1	a	a	DET
ejpam-4126	321	2	common	common	ADJ
ejpam-4126	321	3	coupled	couple	VERB
ejpam-4126	321	4	fixed	fix	VERB
ejpam-4126	321	5	point	point	NOUN
ejpam-4126	321	6	theorem	theorem	VERB
ejpam-4126	321	7	with	with	ADP
ejpam-4126	321	8	contractive	contractive	ADJ
ejpam-4126	321	9	type	type	NOUN
ejpam-4126	321	10	condition	condition	NOUN
ejpam-4126	321	11	in	in	ADP
ejpam-4126	321	12	gb	gb	NOUN
ejpam-4126	321	13	-	-	PUNCT
ejpam-4126	321	14	cone	cone	NOUN
ejpam-4126	321	15	metric	metric	ADJ
ejpam-4126	321	16	space	space	NOUN
ejpam-4126	321	17	.	.	PUNCT
ejpam-4126	322	1	asian	asian	ADJ
ejpam-4126	322	2	research	research	PROPN
ejpam-4126	322	3	journal	journal	NOUN
ejpam-4126	322	4	of	of	ADP
ejpam-4126	322	5	mathematics	mathematic	NOUN
ejpam-4126	322	6	.	.	PUNCT
ejpam-4126	322	7	,	,	PUNCT
ejpam-4126	322	8	1(3):1–18	1(3):1–18	NUM
ejpam-4126	322	9	,	,	PUNCT
ejpam-4126	322	10	2016	2016	NUM
ejpam-4126	322	11	.	.	PUNCT
ejpam-4126	323	1	references	reference	NOUN
ejpam-4126	323	2	1366	1366	NUM
ejpam-4126	324	1	[	[	X
ejpam-4126	324	2	9	9	NUM
ejpam-4126	324	3	]	]	PUNCT
ejpam-4126	324	4	i.	i.	NOUN
ejpam-4126	324	5	beg	beg	PROPN
ejpam-4126	324	6	;	;	PUNCT
ejpam-4126	324	7	m.	m.	NOUN
ejpam-4126	324	8	abbas	abbas	PROPN
ejpam-4126	324	9	;	;	PUNCT
ejpam-4126	324	10	t.	t.	PROPN
ejpam-4126	324	11	nazir	nazir	PROPN
ejpam-4126	324	12	.	.	PUNCT
ejpam-4126	325	1	common	common	ADJ
ejpam-4126	325	2	fixed	fix	VERB
ejpam-4126	325	3	point	point	NOUN
ejpam-4126	325	4	results	result	NOUN
ejpam-4126	325	5	in	in	ADP
ejpam-4126	325	6	g	g	NOUN
ejpam-4126	325	7	-	-	PUNCT
ejpam-4126	325	8	cone	cone	NOUN
ejpam-4126	325	9	metric	metric	ADJ
ejpam-4126	325	10	spaces	space	NOUN
ejpam-4126	325	11	.	.	PUNCT
ejpam-4126	326	1	j.	j.	PROPN
ejpam-4126	326	2	adv	adv	PROPN
ejpam-4126	326	3	.	.	PUNCT
ejpam-4126	327	1	res	re	NOUN
ejpam-4126	327	2	.	.	PUNCT
ejpam-4126	328	1	pure	pure	ADJ
ejpam-4126	328	2	math	math	NOUN
ejpam-4126	328	3	.	.	PUNCT
ejpam-4126	328	4	,	,	PUNCT
ejpam-4126	328	5	2(4):94–109	2(4):94–109	NUM
ejpam-4126	328	6	,	,	PUNCT
ejpam-4126	328	7	2010	2010	NUM
ejpam-4126	328	8	.	.	PUNCT
ejpam-4126	329	1	[	[	X
ejpam-4126	329	2	10	10	NUM
ejpam-4126	329	3	]	]	X
ejpam-4126	329	4	i.	i.	NOUN
ejpam-4126	329	5	beg	beg	PROPN
ejpam-4126	329	6	;	;	PUNCT
ejpam-4126	329	7	m.	m.	NOUN
ejpam-4126	329	8	abbas	abbas	PROPN
ejpam-4126	329	9	;	;	PUNCT
ejpam-4126	329	10	t.	t.	PROPN
ejpam-4126	329	11	nazir	nazir	PROPN
ejpam-4126	329	12	.	.	PUNCT
ejpam-4126	330	1	generalized	generalize	VERB
ejpam-4126	330	2	cone	cone	NOUN
ejpam-4126	330	3	metric	metric	ADJ
ejpam-4126	330	4	spaces	space	NOUN
ejpam-4126	330	5	.	.	PUNCT
ejpam-4126	331	1	j.	j.	PROPN
ejpam-4126	331	2	nonlinear	nonlinear	PROPN
ejpam-4126	331	3	sci	sci	PROPN
ejpam-4126	331	4	.	.	PUNCT
ejpam-4126	331	5	appl	appl	PROPN
ejpam-4126	331	6	.	.	PROPN
ejpam-4126	331	7	,	,	PUNCT
ejpam-4126	331	8	3(1):21–31	3(1):21–31	NUM
ejpam-4126	331	9	,	,	PUNCT
ejpam-4126	331	10	2010	2010	NUM
ejpam-4126	331	11	.	.	PUNCT
ejpam-4126	332	1	[	[	X
ejpam-4126	332	2	11	11	NUM
ejpam-4126	332	3	]	]	PUNCT
ejpam-4126	332	4	i.	i.	NOUN
ejpam-4126	332	5	beg	beg	PROPN
ejpam-4126	332	6	;	;	PUNCT
ejpam-4126	332	7	m.	m.	NOUN
ejpam-4126	332	8	abbas	abbas	PROPN
ejpam-4126	332	9	;	;	PUNCT
ejpam-4126	332	10	t.	t.	PROPN
ejpam-4126	332	11	nazir	nazir	PROPN
ejpam-4126	332	12	.	.	PUNCT
ejpam-4126	333	1	fixed	fix	VERB
ejpam-4126	333	2	point	point	NOUN
ejpam-4126	333	3	results	result	NOUN
ejpam-4126	333	4	in	in	ADP
ejpam-4126	333	5	generalized	generalized	ADJ
ejpam-4126	333	6	cone	cone	NOUN
ejpam-4126	333	7	metric	metric	ADJ
ejpam-4126	333	8	spaces	space	NOUN
ejpam-4126	333	9	.	.	PUNCT
ejpam-4126	334	1	acta	acta	PROPN
ejpam-4126	334	2	univ	univ	PROPN
ejpam-4126	334	3	.	.	PUNCT
ejpam-4126	335	1	apulensis	apulensis	NOUN
ejpam-4126	335	2	math	math	NOUN
ejpam-4126	335	3	.	.	PUNCT
ejpam-4126	336	1	inform	inform	NOUN
ejpam-4126	336	2	.	.	PUNCT
ejpam-4126	336	3	,	,	PUNCT
ejpam-4126	337	1	28:215–232	28:215–232	PROPN
ejpam-4126	337	2	,	,	PUNCT
ejpam-4126	337	3	2011	2011	NUM
ejpam-4126	337	4	.	.	PUNCT
ejpam-4126	338	1	[	[	X
ejpam-4126	338	2	12	12	NUM
ejpam-4126	338	3	]	]	X
ejpam-4126	338	4	s.	s.	PROPN
ejpam-4126	338	5	aleksić	aleksić	PROPN
ejpam-4126	338	6	;	;	PUNCT
ejpam-4126	338	7	z.	z.	PROPN
ejpam-4126	338	8	kadelburg	kadelburg	PROPN
ejpam-4126	338	9	;	;	PUNCT
ejpam-4126	338	10	z.	z.	PROPN
ejpam-4126	338	11	d.	d.	PROPN
ejpam-4126	338	12	mitrović	mitrović	PROPN
ejpam-4126	338	13	;	;	PUNCT
ejpam-4126	338	14	s.	s.	PROPN
ejpam-4126	339	1	radenović.	radenović.	VERB
ejpam-4126	339	2	a	a	DET
ejpam-4126	339	3	new	new	ADJ
ejpam-4126	339	4	survey	survey	NOUN
ejpam-4126	339	5	:	:	PUNCT
ejpam-4126	339	6	cone	cone	NOUN
ejpam-4126	339	7	metric	metric	ADJ
ejpam-4126	339	8	spaces	space	NOUN
ejpam-4126	339	9	.	.	PUNCT
ejpam-4126	340	1	j.	j.	PROPN
ejpam-4126	340	2	int	int	PROPN
ejpam-4126	340	3	.	.	PUNCT
ejpam-4126	341	1	math	math	NOUN
ejpam-4126	341	2	.	.	PUNCT
ejpam-4126	342	1	virtual	virtual	ADJ
ejpam-4126	342	2	inst	inst	PROPN
ejpam-4126	342	3	.	.	PROPN
ejpam-4126	342	4	,	,	PUNCT
ejpam-4126	342	5	9:93–121	9:93–121	NUM
ejpam-4126	342	6	,	,	PUNCT
ejpam-4126	342	7	2019	2019	NUM
ejpam-4126	342	8	.	.	PUNCT
ejpam-4126	343	1	[	[	X
ejpam-4126	343	2	13	13	NUM
ejpam-4126	343	3	]	]	PUNCT
ejpam-4126	343	4	s.	s.	PROPN
ejpam-4126	343	5	janković	janković	PROPN
ejpam-4126	343	6	;	;	PUNCT
ejpam-4126	343	7	z.	z.	PROPN
ejpam-4126	343	8	kadelburg	kadelburg	PROPN
ejpam-4126	343	9	;	;	PUNCT
ejpam-4126	343	10	s.	s.	PROPN
ejpam-4126	343	11	radenović.	radenović.	PROPN
ejpam-4126	343	12	on	on	ADP
ejpam-4126	343	13	cone	cone	NOUN
ejpam-4126	343	14	metric	metric	ADJ
ejpam-4126	343	15	spaces	space	NOUN
ejpam-4126	343	16	:	:	PUNCT
ejpam-4126	343	17	a	a	DET
ejpam-4126	343	18	survey	survey	NOUN
ejpam-4126	343	19	.	.	PUNCT
ejpam-4126	344	1	nonlinear	nonlinear	ADJ
ejpam-4126	344	2	anal	anal	PROPN
ejpam-4126	344	3	.	.	PUNCT
ejpam-4126	344	4	,	,	PUNCT
ejpam-4126	344	5	74(7):2591–2601	74(7):2591–2601	NUM
ejpam-4126	344	6	,	,	PUNCT
ejpam-4126	344	7	2011	2011	NUM
ejpam-4126	344	8	.	.	PUNCT
ejpam-4126	345	1	[	[	X
ejpam-4126	345	2	14	14	NUM
ejpam-4126	345	3	]	]	PUNCT
ejpam-4126	345	4	m.	m.	NOUN
ejpam-4126	345	5	abbas	abbas	PROPN
ejpam-4126	345	6	;	;	PUNCT
ejpam-4126	345	7	b.e	b.e	PROPN
ejpam-4126	345	8	.	.	PROPN
ejpam-4126	345	9	rhoades	rhoades	PROPN
ejpam-4126	345	10	.	.	PUNCT
ejpam-4126	346	1	fixed	fix	VERB
ejpam-4126	346	2	and	and	CCONJ
ejpam-4126	346	3	periodic	periodic	ADJ
ejpam-4126	346	4	point	point	NOUN
ejpam-4126	346	5	results	result	NOUN
ejpam-4126	346	6	in	in	ADP
ejpam-4126	346	7	cone	cone	NOUN
ejpam-4126	346	8	metric	metric	ADJ
ejpam-4126	346	9	spaces	space	NOUN
ejpam-4126	346	10	.	.	PUNCT
ejpam-4126	347	1	appl	appl	PROPN
ejpam-4126	347	2	.	.	PROPN
ejpam-4126	347	3	math	math	PROPN
ejpam-4126	347	4	.	.	PUNCT
ejpam-4126	348	1	lett	lett	PROPN
ejpam-4126	348	2	.	.	PROPN
ejpam-4126	348	3	,	,	PUNCT
ejpam-4126	348	4	22(4):511–515	22(4):511–515	NUM
ejpam-4126	348	5	,	,	PUNCT
ejpam-4126	348	6	2009	2009	NUM
ejpam-4126	348	7	.	.	PUNCT
ejpam-4126	349	1	[	[	X
ejpam-4126	349	2	15	15	NUM
ejpam-4126	349	3	]	]	X
ejpam-4126	349	4	a.	a.	NOUN
ejpam-4126	349	5	aghajani	aghajani	PROPN
ejpam-4126	349	6	;	;	PUNCT
ejpam-4126	349	7	m.	m.	NOUN
ejpam-4126	349	8	abbas	abbas	PROPN
ejpam-4126	349	9	;	;	PUNCT
ejpam-4126	349	10	j.r	j.r	PROPN
ejpam-4126	349	11	.	.	PROPN
ejpam-4126	349	12	roshan	roshan	PROPN
ejpam-4126	349	13	.	.	PUNCT
ejpam-4126	350	1	common	common	ADJ
ejpam-4126	350	2	fixed	fix	VERB
ejpam-4126	350	3	point	point	NOUN
ejpam-4126	350	4	of	of	ADP
ejpam-4126	350	5	generalized	generalized	ADJ
ejpam-4126	350	6	weak	weak	ADJ
ejpam-4126	350	7	contractive	contractive	ADJ
ejpam-4126	350	8	mappings	mapping	NOUN
ejpam-4126	350	9	in	in	ADP
ejpam-4126	350	10	partially	partially	ADV
ejpam-4126	350	11	ordered	order	VERB
ejpam-4126	350	12	gb	gb	ADV
ejpam-4126	350	13	-	-	PUNCT
ejpam-4126	350	14	metric	metric	ADJ
ejpam-4126	350	15	spaces	space	NOUN
ejpam-4126	350	16	.	.	PUNCT
ejpam-4126	351	1	filomat	filomat	PROPN
ejpam-4126	351	2	.	.	PROPN
ejpam-4126	351	3	,	,	PUNCT
ejpam-4126	351	4	28(6):1087	28(6):1087	NUM
ejpam-4126	351	5	–	–	PUNCT
ejpam-4126	351	6	1101	1101	NUM
ejpam-4126	351	7	,	,	PUNCT
ejpam-4126	351	8	2014	2014	NUM
ejpam-4126	351	9	.	.	PUNCT
ejpam-4126	352	1	[	[	X
ejpam-4126	352	2	16	16	NUM
ejpam-4126	352	3	]	]	PUNCT
ejpam-4126	352	4	m.	m.	NOUN
ejpam-4126	352	5	koierng	koierng	PROPN
ejpam-4126	352	6	meitei	meitei	PROPN
ejpam-4126	352	7	;	;	PUNCT
ejpam-4126	352	8	r.	r.	PROPN
ejpam-4126	352	9	yumnam	yumnam	PROPN
ejpam-4126	352	10	;	;	PUNCT
ejpam-4126	352	11	r.s	r.s	PROPN
ejpam-4126	352	12	.	.	PROPN
ejpam-4126	352	13	verma	verma	PROPN
ejpam-4126	352	14	.	.	PUNCT
ejpam-4126	353	1	some	some	DET
ejpam-4126	353	2	common	common	ADJ
ejpam-4126	353	3	fixed	fix	VERB
ejpam-4126	353	4	point	point	NOUN
ejpam-4126	353	5	theorems	theorem	NOUN
ejpam-4126	353	6	for	for	ADP
ejpam-4126	353	7	two	two	NUM
ejpam-4126	353	8	pairs	pair	NOUN
ejpam-4126	353	9	of	of	ADP
ejpam-4126	353	10	weak	weak	ADJ
ejpam-4126	353	11	compatible	compatible	ADJ
ejpam-4126	353	12	mappings	mapping	NOUN
ejpam-4126	353	13	of	of	ADP
ejpam-4126	353	14	type	type	NOUN
ejpam-4126	353	15	(	(	PUNCT
ejpam-4126	353	16	a	a	NOUN
ejpam-4126	353	17	)	)	PUNCT
ejpam-4126	353	18	in	in	ADP
ejpam-4126	353	19	gb	gb	ADV
ejpam-4126	353	20	-	-	PUNCT
ejpam-4126	353	21	metric	metric	ADJ
ejpam-4126	353	22	space	space	NOUN
ejpam-4126	353	23	.	.	PUNCT
ejpam-4126	354	1	american	american	ADJ
ejpam-4126	354	2	journal	journal	PROPN
ejpam-4126	354	3	of	of	ADP
ejpam-4126	354	4	applied	apply	VERB
ejpam-4126	354	5	mathematics	mathematic	NOUN
ejpam-4126	354	6	and	and	CCONJ
ejpam-4126	354	7	statistics	statistic	NOUN
ejpam-4126	354	8	.	.	PUNCT
ejpam-4126	354	9	,	,	PUNCT
ejpam-4126	354	10	6(4):135–140	6(4):135–140	NUM
ejpam-4126	354	11	,	,	PUNCT
ejpam-4126	354	12	2018	2018	NUM
ejpam-4126	354	13	.	.	PUNCT
ejpam-4126	355	1	[	[	X
ejpam-4126	355	2	17	17	NUM
ejpam-4126	355	3	]	]	X
ejpam-4126	355	4	d.	d.	PROPN
ejpam-4126	355	5	wardowski	wardowski	PROPN
ejpam-4126	355	6	.	.	PUNCT
ejpam-4126	356	1	endpoints	endpoint	NOUN
ejpam-4126	356	2	and	and	CCONJ
ejpam-4126	356	3	fixed	fix	VERB
ejpam-4126	356	4	points	point	NOUN
ejpam-4126	356	5	of	of	ADP
ejpam-4126	356	6	set	set	NOUN
ejpam-4126	356	7	-	-	PUNCT
ejpam-4126	356	8	valued	value	VERB
ejpam-4126	356	9	contractions	contraction	NOUN
ejpam-4126	356	10	in	in	ADP
ejpam-4126	356	11	cone	cone	NOUN
ejpam-4126	356	12	metric	metric	ADJ
ejpam-4126	356	13	spaces	space	NOUN
ejpam-4126	356	14	.	.	PUNCT
ejpam-4126	357	1	nonlinear	nonlinear	ADJ
ejpam-4126	357	2	anal	anal	PROPN
ejpam-4126	357	3	.	.	PROPN
ejpam-4126	357	4	,	,	PUNCT
ejpam-4126	357	5	71(1	71(1	PROPN
ejpam-4126	357	6	-	-	NUM
ejpam-4126	357	7	2):512–516	2):512–516	NUM
ejpam-4126	357	8	,	,	PUNCT
ejpam-4126	357	9	2009	2009	NUM
ejpam-4126	357	10	.	.	PUNCT
ejpam-4126	358	1	[	[	X
ejpam-4126	358	2	18	18	NUM
ejpam-4126	358	3	]	]	PUNCT
ejpam-4126	358	4	l.-g	l.-g	PROPN
ejpam-4126	358	5	.	.	PUNCT
ejpam-4126	359	1	huang	huang	PROPN
ejpam-4126	359	2	;	;	PUNCT
ejpam-4126	359	3	x.	x.	PROPN
ejpam-4126	359	4	zhang	zhang	PROPN
ejpam-4126	359	5	.	.	PUNCT
ejpam-4126	360	1	cone	cone	PROPN
ejpam-4126	360	2	metric	metric	ADJ
ejpam-4126	360	3	spaces	space	NOUN
ejpam-4126	360	4	and	and	CCONJ
ejpam-4126	360	5	fixed	fix	VERB
ejpam-4126	360	6	point	point	NOUN
ejpam-4126	360	7	theorems	theorem	NOUN
ejpam-4126	360	8	of	of	ADP
ejpam-4126	360	9	contractive	contractive	ADJ
ejpam-4126	360	10	mappings	mapping	NOUN
ejpam-4126	360	11	.	.	PUNCT
ejpam-4126	361	1	j.	j.	PROPN
ejpam-4126	361	2	math	math	PROPN
ejpam-4126	361	3	.	.	PUNCT
ejpam-4126	362	1	anal	anal	PROPN
ejpam-4126	362	2	.	.	PUNCT
ejpam-4126	363	1	appl	appl	PROPN
ejpam-4126	363	2	.	.	PROPN
ejpam-4126	363	3	,	,	PUNCT
ejpam-4126	363	4	332(2):1468–1476	332(2):1468–1476	PROPN
ejpam-4126	363	5	,	,	PUNCT
ejpam-4126	363	6	2007	2007	NUM
ejpam-4126	363	7	.	.	PUNCT