id	sid	tid	token	lemma	pos
ejpam-5994	1	1	european	european	PROPN
ejpam-5994	1	2	journal	journal	PROPN
ejpam-5994	1	3	of	of	ADP
ejpam-5994	1	4	pure	pure	ADJ
ejpam-5994	1	5	and	and	CCONJ
ejpam-5994	1	6	applied	applied	ADJ
ejpam-5994	1	7	mathematics	mathematic	NOUN
ejpam-5994	1	8	2025	2025	NUM
ejpam-5994	1	9	,	,	PUNCT
ejpam-5994	1	10	vol	vol	NOUN
ejpam-5994	1	11	.	.	PROPN
ejpam-5994	1	12	18	18	NUM
ejpam-5994	1	13	,	,	PUNCT
ejpam-5994	1	14	issue	issue	NOUN
ejpam-5994	1	15	2	2	NUM
ejpam-5994	1	16	,	,	PUNCT
ejpam-5994	1	17	article	article	NOUN
ejpam-5994	1	18	number	number	NOUN
ejpam-5994	1	19	5994	5994	NUM
ejpam-5994	1	20	issn	issn	PROPN
ejpam-5994	1	21	1307	1307	NUM
ejpam-5994	1	22	-	-	SYM
ejpam-5994	1	23	5543	5543	NUM
ejpam-5994	1	24	–	–	PUNCT
ejpam-5994	1	25	ejpam.com	ejpam.com	X
ejpam-5994	1	26	published	publish	VERB
ejpam-5994	1	27	by	by	ADP
ejpam-5994	1	28	new	new	PROPN
ejpam-5994	1	29	york	york	PROPN
ejpam-5994	1	30	business	business	PROPN
ejpam-5994	1	31	global	global	ADJ
ejpam-5994	1	32	unique	unique	ADJ
ejpam-5994	1	33	fixed	fix	VERB
ejpam-5994	1	34	point	point	NOUN
ejpam-5994	1	35	results	result	NOUN
ejpam-5994	1	36	via	via	ADP
ejpam-5994	1	37	geraghty	geraghty	PROPN
ejpam-5994	1	38	type	type	NOUN
ejpam-5994	1	39	contraction	contraction	NOUN
ejpam-5994	1	40	with	with	ADP
ejpam-5994	1	41	applications	application	NOUN
ejpam-5994	1	42	kamaleldin	kamaleldin	NOUN
ejpam-5994	1	43	abodayeh1	abodayeh1	NOUN
ejpam-5994	1	44	,	,	PUNCT
ejpam-5994	1	45	badshah	badshah	PROPN
ejpam-5994	1	46	-	-	PUNCT
ejpam-5994	1	47	e	e	NOUN
ejpam-5994	1	48	-	-	ADJ
ejpam-5994	1	49	rome2	rome2	ADJ
ejpam-5994	1	50	,	,	PUNCT
ejpam-5994	1	51	sidra	sidra	PROPN
ejpam-5994	1	52	nizam3	nizam3	PROPN
ejpam-5994	1	53	,	,	PUNCT
ejpam-5994	1	54	muhammad	muhammad	PROPN
ejpam-5994	1	55	sarwar1,3,∗	sarwar1,3,∗	PROPN
ejpam-5994	1	56	1	1	NUM
ejpam-5994	1	57	department	department	NOUN
ejpam-5994	1	58	of	of	ADP
ejpam-5994	1	59	mathematics	mathematic	NOUN
ejpam-5994	1	60	and	and	CCONJ
ejpam-5994	1	61	sciences	science	NOUN
ejpam-5994	1	62	,	,	PUNCT
ejpam-5994	1	63	prince	prince	PROPN
ejpam-5994	1	64	sultan	sultan	PROPN
ejpam-5994	1	65	university	university	PROPN
ejpam-5994	1	66	,	,	PUNCT
ejpam-5994	1	67	riyadh	riyadh	PROPN
ejpam-5994	1	68	11586	11586	NUM
ejpam-5994	1	69	,	,	PUNCT
ejpam-5994	1	70	saudi	saudi	PROPN
ejpam-5994	1	71	arabia	arabia	PROPN
ejpam-5994	1	72	2	2	NUM
ejpam-5994	1	73	department	department	NOUN
ejpam-5994	1	74	of	of	ADP
ejpam-5994	1	75	mathematics	mathematic	NOUN
ejpam-5994	1	76	,	,	PUNCT
ejpam-5994	1	77	government	government	NOUN
ejpam-5994	1	78	degree	degree	NOUN
ejpam-5994	1	79	college	college	NOUN
ejpam-5994	1	80	kabal	kabal	PROPN
ejpam-5994	1	81	swat	swat	PROPN
ejpam-5994	1	82	,	,	PUNCT
ejpam-5994	1	83	khyber	khyber	PROPN
ejpam-5994	1	84	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-5994	1	85	,	,	PUNCT
ejpam-5994	1	86	pakistan	pakistan	PROPN
ejpam-5994	1	87	3	3	NUM
ejpam-5994	1	88	department	department	NOUN
ejpam-5994	1	89	of	of	ADP
ejpam-5994	1	90	mathematics	mathematics	PROPN
ejpam-5994	1	91	,	,	PUNCT
ejpam-5994	1	92	university	university	NOUN
ejpam-5994	1	93	of	of	ADP
ejpam-5994	1	94	malakand	malakand	PROPN
ejpam-5994	1	95	,	,	PUNCT
ejpam-5994	1	96	chakdara	chakdara	NOUN
ejpam-5994	1	97	dir(l	dir(l	PROPN
ejpam-5994	1	98	)	)	PUNCT
ejpam-5994	1	99	,	,	PUNCT
ejpam-5994	1	100	18000	18000	NUM
ejpam-5994	1	101	,	,	PUNCT
ejpam-5994	1	102	khyber	khyber	PROPN
ejpam-5994	1	103	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-5994	1	104	,	,	PUNCT
ejpam-5994	1	105	pakistan	pakistan	PROPN
ejpam-5994	1	106	abstract	abstract	NOUN
ejpam-5994	1	107	.	.	PUNCT
ejpam-5994	2	1	in	in	ADP
ejpam-5994	2	2	this	this	DET
ejpam-5994	2	3	research	research	NOUN
ejpam-5994	2	4	work	work	NOUN
ejpam-5994	2	5	,	,	PUNCT
ejpam-5994	2	6	using	use	VERB
ejpam-5994	2	7	the	the	DET
ejpam-5994	2	8	concept	concept	NOUN
ejpam-5994	2	9	of	of	ADP
ejpam-5994	2	10	banach	banach	NOUN
ejpam-5994	2	11	contraction	contraction	NOUN
ejpam-5994	2	12	principle	principle	NOUN
ejpam-5994	2	13	and	and	CCONJ
ejpam-5994	2	14	geraghty	geraghty	ADJ
ejpam-5994	2	15	type	type	NOUN
ejpam-5994	2	16	contractions	contraction	NOUN
ejpam-5994	2	17	,	,	PUNCT
ejpam-5994	2	18	some	some	DET
ejpam-5994	2	19	unique	unique	ADJ
ejpam-5994	2	20	fixed	fix	VERB
ejpam-5994	2	21	point	point	NOUN
ejpam-5994	2	22	results	result	NOUN
ejpam-5994	2	23	are	be	AUX
ejpam-5994	2	24	established	establish	VERB
ejpam-5994	2	25	in	in	ADP
ejpam-5994	2	26	the	the	DET
ejpam-5994	2	27	context	context	NOUN
ejpam-5994	2	28	of	of	ADP
ejpam-5994	2	29	µ-extended	µ-extende	VERB
ejpam-5994	2	30	fuzzy	fuzzy	ADJ
ejpam-5994	2	31	b	b	X
ejpam-5994	2	32	-	-	PUNCT
ejpam-5994	2	33	metric	metric	ADJ
ejpam-5994	2	34	spaces	space	NOUN
ejpam-5994	2	35	.	.	PUNCT
ejpam-5994	3	1	the	the	DET
ejpam-5994	3	2	developed	develop	VERB
ejpam-5994	3	3	results	result	NOUN
ejpam-5994	3	4	are	be	AUX
ejpam-5994	3	5	applied	apply	VERB
ejpam-5994	3	6	to	to	PART
ejpam-5994	3	7	ensure	ensure	VERB
ejpam-5994	3	8	the	the	DET
ejpam-5994	3	9	existence	existence	NOUN
ejpam-5994	3	10	of	of	ADP
ejpam-5994	3	11	solution	solution	NOUN
ejpam-5994	3	12	to	to	ADP
ejpam-5994	3	13	integral	integral	ADJ
ejpam-5994	3	14	equation	equation	NOUN
ejpam-5994	3	15	and	and	CCONJ
ejpam-5994	3	16	non	non	ADJ
ejpam-5994	3	17	-	-	ADJ
ejpam-5994	3	18	linear	linear	ADJ
ejpam-5994	3	19	fractional	fractional	ADJ
ejpam-5994	3	20	order	order	NOUN
ejpam-5994	3	21	differential	differential	NOUN
ejpam-5994	3	22	equation	equation	NOUN
ejpam-5994	3	23	.	.	PUNCT
ejpam-5994	4	1	2020	2020	NUM
ejpam-5994	4	2	mathematics	mathematic	NOUN
ejpam-5994	4	3	subject	subject	NOUN
ejpam-5994	4	4	classifications	classification	NOUN
ejpam-5994	4	5	:	:	PUNCT
ejpam-5994	4	6	34a08	34a08	NUM
ejpam-5994	4	7	,	,	PUNCT
ejpam-5994	4	8	34a12	34a12	NUM
ejpam-5994	4	9	,	,	PUNCT
ejpam-5994	4	10	34b15	34b15	NUM
ejpam-5994	4	11	key	key	ADJ
ejpam-5994	4	12	words	word	NOUN
ejpam-5994	4	13	and	and	CCONJ
ejpam-5994	4	14	phrases	phrase	NOUN
ejpam-5994	4	15	:	:	PUNCT
ejpam-5994	4	16	fixed	fix	VERB
ejpam-5994	4	17	point	point	NOUN
ejpam-5994	4	18	results	result	NOUN
ejpam-5994	4	19	,	,	PUNCT
ejpam-5994	4	20	geraghty	geraghty	PROPN
ejpam-5994	4	21	type	type	NOUN
ejpam-5994	4	22	contraction	contraction	NOUN
ejpam-5994	4	23	,	,	PUNCT
ejpam-5994	4	24	fuzzy	fuzzy	ADJ
ejpam-5994	4	25	b	b	X
ejpam-5994	4	26	-	-	PUNCT
ejpam-5994	4	27	metric	metric	ADJ
ejpam-5994	4	28	spaces	space	NOUN
ejpam-5994	4	29	,	,	PUNCT
ejpam-5994	4	30	integral	integral	ADJ
ejpam-5994	4	31	equation	equation	NOUN
ejpam-5994	4	32	,	,	PUNCT
ejpam-5994	4	33	fractional	fractional	ADJ
ejpam-5994	4	34	differential	differential	NOUN
ejpam-5994	4	35	equation	equation	NOUN
ejpam-5994	4	36	1	1	NUM
ejpam-5994	4	37	.	.	PUNCT
ejpam-5994	5	1	introduction	introduction	NOUN
ejpam-5994	5	2	l.	l.	PROPN
ejpam-5994	5	3	zadeh	zadeh	PROPN
ejpam-5994	6	1	[	[	X
ejpam-5994	6	2	1	1	NUM
ejpam-5994	6	3	]	]	PUNCT
ejpam-5994	6	4	was	be	AUX
ejpam-5994	6	5	first	first	ADJ
ejpam-5994	6	6	to	to	PART
ejpam-5994	6	7	propose	propose	VERB
ejpam-5994	6	8	the	the	DET
ejpam-5994	6	9	concept	concept	NOUN
ejpam-5994	6	10	of	of	ADP
ejpam-5994	6	11	fuzzy	fuzzy	ADJ
ejpam-5994	6	12	set	set	NOUN
ejpam-5994	6	13	in	in	ADP
ejpam-5994	6	14	1965	1965	NUM
ejpam-5994	6	15	.	.	PUNCT
ejpam-5994	7	1	fuzzy	fuzzy	ADJ
ejpam-5994	7	2	set	set	NOUN
ejpam-5994	7	3	theory	theory	NOUN
ejpam-5994	7	4	includes	include	VERB
ejpam-5994	7	5	the	the	DET
ejpam-5994	7	6	ordinary	ordinary	ADJ
ejpam-5994	7	7	set	set	NOUN
ejpam-5994	7	8	theory	theory	NOUN
ejpam-5994	7	9	as	as	ADP
ejpam-5994	7	10	a	a	DET
ejpam-5994	7	11	special	special	ADJ
ejpam-5994	7	12	case	case	NOUN
ejpam-5994	7	13	.	.	PUNCT
ejpam-5994	8	1	membership	membership	NOUN
ejpam-5994	8	2	degree	degree	NOUN
ejpam-5994	8	3	of	of	ADP
ejpam-5994	8	4	an	an	DET
ejpam-5994	8	5	element	element	NOUN
ejpam-5994	8	6	in	in	ADP
ejpam-5994	8	7	fuzzy	fuzzy	ADJ
ejpam-5994	8	8	set	set	NOUN
ejpam-5994	8	9	is	be	AUX
ejpam-5994	8	10	described	describe	VERB
ejpam-5994	8	11	by	by	ADP
ejpam-5994	8	12	a	a	DET
ejpam-5994	8	13	real	real	ADJ
ejpam-5994	8	14	number	number	NOUN
ejpam-5994	8	15	from	from	ADP
ejpam-5994	8	16	the	the	DET
ejpam-5994	8	17	unit	unit	NOUN
ejpam-5994	8	18	interval	interval	NOUN
ejpam-5994	8	19	as	as	SCONJ
ejpam-5994	8	20	opposed	oppose	VERB
ejpam-5994	8	21	to	to	ADP
ejpam-5994	8	22	conventional	conventional	ADJ
ejpam-5994	8	23	set	set	NOUN
ejpam-5994	8	24	theory	theory	NOUN
ejpam-5994	8	25	where	where	SCONJ
ejpam-5994	8	26	it	it	PRON
ejpam-5994	8	27	is	be	AUX
ejpam-5994	8	28	1	1	NUM
ejpam-5994	8	29	or	or	CCONJ
ejpam-5994	8	30	0	0	NUM
ejpam-5994	8	31	.	.	PUNCT
ejpam-5994	9	1	there	there	PRON
ejpam-5994	9	2	is	be	VERB
ejpam-5994	9	3	evidence	evidence	NOUN
ejpam-5994	9	4	that	that	SCONJ
ejpam-5994	9	5	the	the	DET
ejpam-5994	9	6	concept	concept	NOUN
ejpam-5994	9	7	of	of	ADP
ejpam-5994	9	8	distance	distance	NOUN
ejpam-5994	9	9	measurement	measurement	NOUN
ejpam-5994	9	10	is	be	AUX
ejpam-5994	9	11	fuzzy	fuzzy	ADJ
ejpam-5994	9	12	instead	instead	ADV
ejpam-5994	9	13	of	of	ADP
ejpam-5994	9	14	classical	classical	NOUN
ejpam-5994	9	15	.	.	PUNCT
ejpam-5994	10	1	improving	improve	VERB
ejpam-5994	10	2	this	this	DET
ejpam-5994	10	3	idea	idea	NOUN
ejpam-5994	10	4	,	,	PUNCT
ejpam-5994	10	5	kramosil	kramosil	NOUN
ejpam-5994	10	6	and	and	CCONJ
ejpam-5994	10	7	michalek	michalek	VERB
ejpam-5994	10	8	[	[	X
ejpam-5994	10	9	2	2	NUM
ejpam-5994	10	10	]	]	PUNCT
ejpam-5994	10	11	introduced	introduce	VERB
ejpam-5994	10	12	the	the	DET
ejpam-5994	10	13	notion	notion	NOUN
ejpam-5994	10	14	of	of	ADP
ejpam-5994	10	15	fuzzy	fuzzy	ADJ
ejpam-5994	10	16	metric	metric	ADJ
ejpam-5994	10	17	.	.	PUNCT
ejpam-5994	11	1	fuzzy	fuzzy	ADJ
ejpam-5994	11	2	metric	metric	NOUN
ejpam-5994	11	3	is	be	AUX
ejpam-5994	11	4	generalization	generalization	NOUN
ejpam-5994	11	5	of	of	ADP
ejpam-5994	11	6	probabilistic	probabilistic	ADJ
ejpam-5994	11	7	metric	metric	NOUN
ejpam-5994	11	8	.	.	PUNCT
ejpam-5994	12	1	george	george	PROPN
ejpam-5994	12	2	and	and	CCONJ
ejpam-5994	12	3	veeramani	veeramani	NOUN
ejpam-5994	13	1	[	[	X
ejpam-5994	13	2	3	3	NUM
ejpam-5994	13	3	]	]	X
ejpam-5994	13	4	modified	modify	VERB
ejpam-5994	13	5	kramosil	kramosil	NOUN
ejpam-5994	13	6	’s	’s	PART
ejpam-5994	13	7	definition	definition	NOUN
ejpam-5994	13	8	of	of	ADP
ejpam-5994	13	9	fuzzy	fuzzy	ADJ
ejpam-5994	13	10	metric	metric	NOUN
ejpam-5994	13	11	and	and	CCONJ
ejpam-5994	13	12	proved	prove	VERB
ejpam-5994	13	13	that	that	SCONJ
ejpam-5994	13	14	every	every	DET
ejpam-5994	13	15	metric	metric	NOUN
ejpam-5994	13	16	induces	induce	VERB
ejpam-5994	13	17	a	a	DET
ejpam-5994	13	18	fuzzy	fuzzy	ADJ
ejpam-5994	13	19	metric	metric	NOUN
ejpam-5994	13	20	.	.	PUNCT
ejpam-5994	14	1	the	the	DET
ejpam-5994	14	2	idea	idea	NOUN
ejpam-5994	14	3	of	of	ADP
ejpam-5994	14	4	fixed	fix	VERB
ejpam-5994	14	5	point	point	NOUN
ejpam-5994	14	6	in	in	ADP
ejpam-5994	14	7	fuzzy	fuzzy	ADJ
ejpam-5994	14	8	metric	metric	ADJ
ejpam-5994	14	9	space	space	NOUN
ejpam-5994	14	10	(	(	PUNCT
ejpam-5994	14	11	fws̃	fws̃	NOUN
ejpam-5994	14	12	)	)	PUNCT
ejpam-5994	14	13	has	have	AUX
ejpam-5994	14	14	been	be	AUX
ejpam-5994	14	15	studied	study	VERB
ejpam-5994	14	16	and	and	CCONJ
ejpam-5994	14	17	explored	explore	VERB
ejpam-5994	14	18	by	by	ADP
ejpam-5994	14	19	several	several	ADJ
ejpam-5994	14	20	authors	author	NOUN
ejpam-5994	14	21	.	.	PUNCT
ejpam-5994	15	1	in	in	ADP
ejpam-5994	15	2	1988	1988	NUM
ejpam-5994	15	3	,	,	PUNCT
ejpam-5994	15	4	grabiec	grabiec	PROPN
ejpam-5994	15	5	[	[	X
ejpam-5994	15	6	4	4	X
ejpam-5994	15	7	]	]	PUNCT
ejpam-5994	15	8	proved	prove	VERB
ejpam-5994	15	9	fuzzy	fuzzy	ADJ
ejpam-5994	15	10	version	version	NOUN
ejpam-5994	15	11	of	of	ADP
ejpam-5994	15	12	the	the	DET
ejpam-5994	15	13	well	well	ADV
ejpam-5994	15	14	known	know	VERB
ejpam-5994	15	15	banach	banach	NOUN
ejpam-5994	15	16	contraction	contraction	NOUN
ejpam-5994	15	17	principle	principle	NOUN
ejpam-5994	15	18	.	.	PUNCT
ejpam-5994	16	1	gregori	gregori	PROPN
ejpam-5994	16	2	and	and	CCONJ
ejpam-5994	16	3	sapena	sapena	ADJ
ejpam-5994	16	4	[	[	X
ejpam-5994	16	5	5	5	NUM
ejpam-5994	16	6	]	]	PUNCT
ejpam-5994	16	7	presented	present	VERB
ejpam-5994	16	8	the	the	DET
ejpam-5994	16	9	concept	concept	NOUN
ejpam-5994	16	10	of	of	ADP
ejpam-5994	16	11	fuzzy	fuzzy	ADJ
ejpam-5994	16	12	contraction	contraction	NOUN
ejpam-5994	16	13	and	and	CCONJ
ejpam-5994	16	14	proved	prove	VERB
ejpam-5994	16	15	a	a	DET
ejpam-5994	16	16	fixed	fix	VERB
ejpam-5994	16	17	point	point	NOUN
ejpam-5994	16	18	theorem	theorem	VERB
ejpam-5994	16	19	in	in	ADP
ejpam-5994	16	20	fws̃	fws̃	NOUN
ejpam-5994	16	21	in	in	ADP
ejpam-5994	16	22	the	the	DET
ejpam-5994	16	23	sense	sense	NOUN
ejpam-5994	16	24	of	of	ADP
ejpam-5994	16	25	george	george	NOUN
ejpam-5994	16	26	and	and	CCONJ
ejpam-5994	16	27	˚corresponding	˚corresponde	VERB
ejpam-5994	16	28	author	author	NOUN
ejpam-5994	16	29	.	.	PUNCT
ejpam-5994	17	1	doi	doi	NOUN
ejpam-5994	17	2	:	:	PUNCT
ejpam-5994	17	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5994	https://doi.org/10.29020/nybg.ejpam.v18i2.5994	NUM
ejpam-5994	17	4	email	email	NOUN
ejpam-5994	17	5	addresses	address	NOUN
ejpam-5994	17	6	:	:	PUNCT
ejpam-5994	17	7	kamal@psu.edu.sa	kamal@psu.edu.sa	PROPN
ejpam-5994	17	8	(	(	PUNCT
ejpam-5994	17	9	k.	k.	PROPN
ejpam-5994	17	10	abodayeh	abodayeh	PROPN
ejpam-5994	17	11	)	)	PUNCT
ejpam-5994	17	12	,	,	PUNCT
ejpam-5994	17	13	baadeshah1@gmail.com	baadeshah1@gmail.com	X
ejpam-5994	17	14	(	(	PUNCT
ejpam-5994	17	15	b.	b.	PROPN
ejpam-5994	17	16	rome	rome	PROPN
ejpam-5994	17	17	)	)	PUNCT
ejpam-5994	17	18	,	,	PUNCT
ejpam-5994	17	19	sidranizam2244@gmail.com	sidranizam2244@gmail.com	X
ejpam-5994	18	1	(	(	PUNCT
ejpam-5994	18	2	s.	s.	PROPN
ejpam-5994	18	3	nizam	nizam	PROPN
ejpam-5994	18	4	)	)	PUNCT
ejpam-5994	18	5	,	,	PUNCT
ejpam-5994	18	6	sarwarswati@gmail.com	sarwarswati@gmail.com	X
ejpam-5994	19	1	(	(	PUNCT
ejpam-5994	19	2	m.	m.	NOUN
ejpam-5994	19	3	sarwar	sarwar	PROPN
ejpam-5994	19	4	)	)	PUNCT
ejpam-5994	19	5	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5994	20	1	1	1	NUM
ejpam-5994	20	2	copyright	copyright	NOUN
ejpam-5994	20	3	:	:	PUNCT
ejpam-5994	20	4	©	©	PROPN
ejpam-5994	20	5	2025	2025	NUM
ejpam-5994	20	6	the	the	DET
ejpam-5994	20	7	author(s	author(s	NOUN
ejpam-5994	20	8	)	)	PUNCT
ejpam-5994	20	9	.	.	PUNCT
ejpam-5994	21	1	(	(	PUNCT
ejpam-5994	21	2	cc	cc	NOUN
ejpam-5994	21	3	by	by	ADP
ejpam-5994	21	4	-	-	PUNCT
ejpam-5994	21	5	nc	nc	PROPN
ejpam-5994	21	6	4.0	4.0	NUM
ejpam-5994	21	7	)	)	PUNCT
ejpam-5994	21	8	k.	k.	PROPN
ejpam-5994	22	1	abodayeh	abodayeh	PROPN
ejpam-5994	22	2	et	et	PROPN
ejpam-5994	22	3	al	al	PROPN
ejpam-5994	22	4	.	.	PUNCT
ejpam-5994	22	5	/	/	SYM
ejpam-5994	22	6	eur	eur	PROPN
ejpam-5994	22	7	.	.	PUNCT
ejpam-5994	23	1	j.	j.	PROPN
ejpam-5994	23	2	pure	pure	PROPN
ejpam-5994	23	3	appl	appl	PROPN
ejpam-5994	23	4	.	.	PROPN
ejpam-5994	23	5	math	math	PROPN
ejpam-5994	23	6	,	,	PUNCT
ejpam-5994	23	7	18	18	NUM
ejpam-5994	23	8	(	(	PUNCT
ejpam-5994	23	9	2	2	NUM
ejpam-5994	23	10	)	)	PUNCT
ejpam-5994	23	11	(	(	PUNCT
ejpam-5994	23	12	2025	2025	NUM
ejpam-5994	23	13	)	)	PUNCT
ejpam-5994	23	14	,	,	PUNCT
ejpam-5994	23	15	5994	5994	NUM
ejpam-5994	23	16	2	2	NUM
ejpam-5994	23	17	of	of	ADP
ejpam-5994	23	18	22	22	NUM
ejpam-5994	23	19	veeramani	veeramani	NOUN
ejpam-5994	23	20	.	.	PUNCT
ejpam-5994	24	1	in	in	ADP
ejpam-5994	24	2	[	[	X
ejpam-5994	24	3	6	6	NUM
ejpam-5994	24	4	]	]	PUNCT
ejpam-5994	24	5	existence	existence	NOUN
ejpam-5994	24	6	and	and	CCONJ
ejpam-5994	24	7	uniqueness	uniqueness	NOUN
ejpam-5994	24	8	of	of	ADP
ejpam-5994	24	9	fixed	fix	VERB
ejpam-5994	24	10	points	point	NOUN
ejpam-5994	24	11	in	in	ADP
ejpam-5994	24	12	modified	modified	ADJ
ejpam-5994	24	13	intuitionistic	intuitionistic	ADJ
ejpam-5994	24	14	fuzzy	fuzzy	ADJ
ejpam-5994	24	15	metric	metric	ADJ
ejpam-5994	24	16	spaces	space	NOUN
ejpam-5994	24	17	is	be	AUX
ejpam-5994	24	18	studied	study	VERB
ejpam-5994	24	19	.	.	PUNCT
ejpam-5994	25	1	v.	v.	ADP
ejpam-5994	25	2	gupta	gupta	PROPN
ejpam-5994	25	3	at	at	ADP
ejpam-5994	25	4	al.[7	al.[7	PROPN
ejpam-5994	25	5	]	]	PUNCT
ejpam-5994	25	6	established	establish	VERB
ejpam-5994	25	7	coupled	couple	VERB
ejpam-5994	25	8	fixed	fix	VERB
ejpam-5994	25	9	point	point	NOUN
ejpam-5994	25	10	theorems	theorem	NOUN
ejpam-5994	25	11	on	on	ADP
ejpam-5994	25	12	v	v	NUM
ejpam-5994	25	13	-fuzzy	-fuzzy	NOUN
ejpam-5994	25	14	metric	metric	ADJ
ejpam-5994	25	15	spaces	space	NOUN
ejpam-5994	25	16	,	,	PUNCT
ejpam-5994	25	17	while	while	SCONJ
ejpam-5994	25	18	in	in	ADP
ejpam-5994	25	19	[	[	PUNCT
ejpam-5994	25	20	8	8	NUM
ejpam-5994	25	21	]	]	PUNCT
ejpam-5994	25	22	authors	author	NOUN
ejpam-5994	25	23	studied	study	VERB
ejpam-5994	25	24	new	new	ADJ
ejpam-5994	25	25	results	result	NOUN
ejpam-5994	25	26	on	on	ADP
ejpam-5994	25	27	modified	modify	VERB
ejpam-5994	25	28	intuitionistic	intuitionistic	ADJ
ejpam-5994	25	29	generalized	generalized	ADJ
ejpam-5994	25	30	fuzzy	fuzzy	ADJ
ejpam-5994	25	31	metric	metric	ADJ
ejpam-5994	25	32	spaces	space	NOUN
ejpam-5994	25	33	.	.	PUNCT
ejpam-5994	26	1	nădăban	nădăban	PRON
ejpam-5994	27	1	[	[	X
ejpam-5994	27	2	9	9	NUM
ejpam-5994	27	3	]	]	PUNCT
ejpam-5994	27	4	initiated	initiate	VERB
ejpam-5994	27	5	fuzzy	fuzzy	ADJ
ejpam-5994	27	6	b	b	X
ejpam-5994	27	7	-	-	PUNCT
ejpam-5994	27	8	metric	metric	ADJ
ejpam-5994	27	9	space	space	NOUN
ejpam-5994	27	10	(	(	PUNCT
ejpam-5994	27	11	fbws̃	fbws̃	NOUN
ejpam-5994	27	12	)	)	PUNCT
ejpam-5994	27	13	extending	extend	VERB
ejpam-5994	27	14	fws̃.	fws̃.	PROPN
ejpam-5994	27	15	mehmood	mehmood	PROPN
ejpam-5994	27	16	etal.[10	etal.[10	PROPN
ejpam-5994	27	17	]	]	PUNCT
ejpam-5994	27	18	generalized	generalize	VERB
ejpam-5994	27	19	fuzzy	fuzzy	ADJ
ejpam-5994	27	20	b	b	X
ejpam-5994	27	21	-	-	PUNCT
ejpam-5994	27	22	metric	metric	ADJ
ejpam-5994	27	23	by	by	ADP
ejpam-5994	27	24	coming	come	VERB
ejpam-5994	27	25	up	up	ADP
ejpam-5994	27	26	with	with	ADP
ejpam-5994	27	27	the	the	DET
ejpam-5994	27	28	concepts	concept	NOUN
ejpam-5994	27	29	of	of	ADP
ejpam-5994	27	30	extended	extended	ADJ
ejpam-5994	27	31	fuzzy	fuzzy	ADJ
ejpam-5994	27	32	b	b	NOUN
ejpam-5994	27	33	-	-	ADJ
ejpam-5994	27	34	metric	metric	ADJ
ejpam-5994	27	35	space(efbws̃	space(efbws̃	NOUN
ejpam-5994	27	36	)	)	PUNCT
ejpam-5994	27	37	and	and	CCONJ
ejpam-5994	27	38	fuzzy	fuzzy	ADJ
ejpam-5994	27	39	rectangular	rectangular	ADJ
ejpam-5994	27	40	b	b	NOUN
ejpam-5994	27	41	-	-	ADJ
ejpam-5994	27	42	metric	metric	ADJ
ejpam-5994	28	1	[	[	X
ejpam-5994	28	2	11	11	NUM
ejpam-5994	28	3	]	]	PUNCT
ejpam-5994	28	4	.	.	PUNCT
ejpam-5994	29	1	rome	rome	PROPN
ejpam-5994	29	2	et	et	PROPN
ejpam-5994	29	3	al.[12	al.[12	PROPN
ejpam-5994	29	4	]	]	PUNCT
ejpam-5994	29	5	introduced	introduce	VERB
ejpam-5994	29	6	µ-extended	µ-extende	VERB
ejpam-5994	29	7	fuzzy	fuzzy	ADJ
ejpam-5994	29	8	b	b	X
ejpam-5994	29	9	-	-	PUNCT
ejpam-5994	29	10	metric	metric	ADJ
ejpam-5994	29	11	space	space	NOUN
ejpam-5994	29	12	(	(	PUNCT
ejpam-5994	29	13	µefbws̃	µefbws̃	NOUN
ejpam-5994	29	14	)	)	PUNCT
ejpam-5994	29	15	and	and	CCONJ
ejpam-5994	29	16	generalized	generalize	VERB
ejpam-5994	29	17	several	several	ADJ
ejpam-5994	29	18	fixed	fix	VERB
ejpam-5994	29	19	point	point	NOUN
ejpam-5994	29	20	results	result	NOUN
ejpam-5994	29	21	to	to	ADP
ejpam-5994	29	22	this	this	DET
ejpam-5994	29	23	newly	newly	ADV
ejpam-5994	29	24	introduced	introduce	VERB
ejpam-5994	29	25	fuzzy	fuzzy	ADJ
ejpam-5994	29	26	space	space	NOUN
ejpam-5994	29	27	.	.	PUNCT
ejpam-5994	30	1	it	it	PRON
ejpam-5994	30	2	was	be	AUX
ejpam-5994	30	3	m.	m.	NOUN
ejpam-5994	30	4	geraghty	geraghty	PROPN
ejpam-5994	31	1	[	[	X
ejpam-5994	31	2	13	13	NUM
ejpam-5994	31	3	]	]	PUNCT
ejpam-5994	31	4	who	who	PRON
ejpam-5994	31	5	first	first	ADV
ejpam-5994	31	6	replaced	replace	VERB
ejpam-5994	31	7	the	the	DET
ejpam-5994	31	8	condition	condition	NOUN
ejpam-5994	31	9	of	of	ADP
ejpam-5994	31	10	cauchy	cauchy	ADJ
ejpam-5994	31	11	convergence	convergence	NOUN
ejpam-5994	31	12	for	for	ADP
ejpam-5994	31	13	a	a	DET
ejpam-5994	31	14	contraction	contraction	NOUN
ejpam-5994	31	15	,	,	PUNCT
ejpam-5994	31	16	in	in	ADP
ejpam-5994	31	17	a	a	DET
ejpam-5994	31	18	complete	complete	ADJ
ejpam-5994	31	19	metric	metric	ADJ
ejpam-5994	31	20	space	space	NOUN
ejpam-5994	31	21	,	,	PUNCT
ejpam-5994	31	22	by	by	ADP
ejpam-5994	31	23	an	an	DET
ejpam-5994	31	24	equivalent	equivalent	ADJ
ejpam-5994	31	25	functional	functional	ADJ
ejpam-5994	31	26	condition	condition	NOUN
ejpam-5994	31	27	.	.	PUNCT
ejpam-5994	32	1	j.mart́inez	j.mart́inez	ADJ
ejpam-5994	32	2	-	-	PUNCT
ejpam-5994	32	3	morenoet	morenoet	VERB
ejpam-5994	32	4	al.[14	al.[14	PROPN
ejpam-5994	32	5	]	]	PUNCT
ejpam-5994	32	6	obtained	obtain	VERB
ejpam-5994	32	7	some	some	DET
ejpam-5994	32	8	new	new	ADJ
ejpam-5994	32	9	common	common	ADJ
ejpam-5994	32	10	fixed	fix	VERB
ejpam-5994	32	11	point	point	NOUN
ejpam-5994	32	12	theorems	theorem	NOUN
ejpam-5994	32	13	for	for	ADP
ejpam-5994	32	14	geraghty	geraghty	PROPN
ejpam-5994	32	15	’s	’s	PART
ejpam-5994	32	16	type	type	NOUN
ejpam-5994	32	17	contraction	contraction	NOUN
ejpam-5994	32	18	mappings	mapping	NOUN
ejpam-5994	32	19	using	use	VERB
ejpam-5994	32	20	the	the	DET
ejpam-5994	32	21	monotone	monotone	ADJ
ejpam-5994	32	22	property	property	NOUN
ejpam-5994	32	23	with	with	ADP
ejpam-5994	32	24	two	two	NUM
ejpam-5994	32	25	metrics	metric	NOUN
ejpam-5994	32	26	.	.	PUNCT
ejpam-5994	33	1	ashraf	ashraf	PROPN
ejpam-5994	33	2	et	et	PROPN
ejpam-5994	33	3	al.[15	al.[15	PROPN
ejpam-5994	33	4	]	]	PUNCT
ejpam-5994	33	5	established	establish	VERB
ejpam-5994	33	6	some	some	DET
ejpam-5994	33	7	fixed	fix	VERB
ejpam-5994	33	8	point	point	NOUN
ejpam-5994	33	9	results	result	NOUN
ejpam-5994	33	10	for	for	ADP
ejpam-5994	33	11	geraghty	geraghty	NOUN
ejpam-5994	33	12	-	-	PUNCT
ejpam-5994	33	13	type	type	NOUN
ejpam-5994	33	14	contraction	contraction	NOUN
ejpam-5994	33	15	in	in	ADP
ejpam-5994	33	16	fuzzy	fuzzy	ADJ
ejpam-5994	33	17	b	b	NOUN
ejpam-5994	33	18	-	-	PUNCT
ejpam-5994	33	19	metric	metric	ADJ
ejpam-5994	33	20	space	space	NOUN
ejpam-5994	33	21	.	.	PUNCT
ejpam-5994	34	1	the	the	DET
ejpam-5994	34	2	aim	aim	NOUN
ejpam-5994	34	3	of	of	ADP
ejpam-5994	34	4	this	this	DET
ejpam-5994	34	5	paper	paper	NOUN
ejpam-5994	34	6	is	be	AUX
ejpam-5994	34	7	to	to	PART
ejpam-5994	34	8	explore	explore	VERB
ejpam-5994	34	9	geraghty	geraghty	VERB
ejpam-5994	34	10	-	-	PUNCT
ejpam-5994	34	11	type	type	NOUN
ejpam-5994	34	12	contractions	contraction	NOUN
ejpam-5994	34	13	in	in	ADP
ejpam-5994	34	14	the	the	DET
ejpam-5994	34	15	setting	setting	NOUN
ejpam-5994	34	16	of	of	ADP
ejpam-5994	34	17	µefbws̃.	µefbws̃.	NOUN
ejpam-5994	34	18	besides	besides	SCONJ
ejpam-5994	34	19	banach	banach	NOUN
ejpam-5994	34	20	contraction	contraction	NOUN
ejpam-5994	34	21	principle	principle	NOUN
ejpam-5994	34	22	some	some	DET
ejpam-5994	34	23	well	well	ADV
ejpam-5994	34	24	known	know	VERB
ejpam-5994	34	25	fixed	fix	VERB
ejpam-5994	34	26	point	point	NOUN
ejpam-5994	34	27	results	result	NOUN
ejpam-5994	34	28	are	be	AUX
ejpam-5994	34	29	generalized	generalize	VERB
ejpam-5994	34	30	to	to	ADP
ejpam-5994	34	31	µefbws̃.	µefbws̃.	PROPN
ejpam-5994	34	32	to	to	PART
ejpam-5994	34	33	demonstrate	demonstrate	VERB
ejpam-5994	34	34	validity	validity	NOUN
ejpam-5994	34	35	of	of	ADP
ejpam-5994	34	36	the	the	DET
ejpam-5994	34	37	main	main	ADJ
ejpam-5994	34	38	work	work	NOUN
ejpam-5994	34	39	,	,	PUNCT
ejpam-5994	34	40	a	a	DET
ejpam-5994	34	41	supporting	support	VERB
ejpam-5994	34	42	example	example	NOUN
ejpam-5994	34	43	and	and	CCONJ
ejpam-5994	34	44	a	a	DET
ejpam-5994	34	45	couple	couple	NOUN
ejpam-5994	34	46	of	of	ADP
ejpam-5994	34	47	applications	application	NOUN
ejpam-5994	34	48	to	to	ADP
ejpam-5994	34	49	the	the	DET
ejpam-5994	34	50	existence	existence	NOUN
ejpam-5994	34	51	of	of	ADP
ejpam-5994	34	52	solution	solution	NOUN
ejpam-5994	34	53	to	to	ADP
ejpam-5994	34	54	non	non	ADJ
ejpam-5994	34	55	-	-	ADJ
ejpam-5994	34	56	linear	linear	ADJ
ejpam-5994	34	57	fractional	fractional	ADJ
ejpam-5994	34	58	order	order	NOUN
ejpam-5994	34	59	differential	differential	NOUN
ejpam-5994	34	60	equation	equation	NOUN
ejpam-5994	34	61	and	and	CCONJ
ejpam-5994	34	62	integral	integral	ADJ
ejpam-5994	34	63	equation	equation	NOUN
ejpam-5994	34	64	are	be	AUX
ejpam-5994	34	65	provided	provide	VERB
ejpam-5994	34	66	.	.	PUNCT
ejpam-5994	35	1	2	2	X
ejpam-5994	35	2	.	.	NUM
ejpam-5994	35	3	preliminaries	preliminary	NOUN
ejpam-5994	35	4	in	in	ADP
ejpam-5994	35	5	the	the	DET
ejpam-5994	35	6	following	follow	VERB
ejpam-5994	35	7	some	some	DET
ejpam-5994	35	8	specific	specific	ADJ
ejpam-5994	35	9	definitions	definition	NOUN
ejpam-5994	35	10	and	and	CCONJ
ejpam-5994	35	11	terms	term	NOUN
ejpam-5994	35	12	are	be	AUX
ejpam-5994	35	13	recalled	recall	VERB
ejpam-5994	35	14	which	which	PRON
ejpam-5994	35	15	are	be	AUX
ejpam-5994	35	16	essential	essential	ADJ
ejpam-5994	35	17	for	for	ADP
ejpam-5994	35	18	main	main	ADJ
ejpam-5994	35	19	work	work	NOUN
ejpam-5994	35	20	of	of	ADP
ejpam-5994	35	21	this	this	DET
ejpam-5994	35	22	paper	paper	NOUN
ejpam-5994	35	23	.	.	PUNCT
ejpam-5994	36	1	r	r	NOUN
ejpam-5994	36	2	and	and	CCONJ
ejpam-5994	36	3	n	n	PROPN
ejpam-5994	36	4	will	will	AUX
ejpam-5994	36	5	be	be	AUX
ejpam-5994	36	6	used	use	VERB
ejpam-5994	36	7	to	to	PART
ejpam-5994	36	8	represent	represent	VERB
ejpam-5994	36	9	sets	set	NOUN
ejpam-5994	36	10	of	of	ADP
ejpam-5994	36	11	real	real	ADJ
ejpam-5994	36	12	numbers	number	NOUN
ejpam-5994	36	13	and	and	CCONJ
ejpam-5994	36	14	positive	positive	ADJ
ejpam-5994	36	15	integers	integer	NOUN
ejpam-5994	36	16	respectively	respectively	ADV
ejpam-5994	36	17	.	.	PUNCT
ejpam-5994	37	1	s	s	PART
ejpam-5994	37	2	will	will	AUX
ejpam-5994	37	3	represent	represent	VERB
ejpam-5994	37	4	a	a	DET
ejpam-5994	37	5	non	non	ADJ
ejpam-5994	37	6	-	-	ADJ
ejpam-5994	37	7	empty	empty	ADJ
ejpam-5994	37	8	set	set	NOUN
ejpam-5994	37	9	.	.	PUNCT
ejpam-5994	38	1	definition	definition	NOUN
ejpam-5994	38	2	1	1	NUM
ejpam-5994	38	3	.	.	PUNCT
ejpam-5994	39	1	[	[	X
ejpam-5994	39	2	16	16	NUM
ejpam-5994	39	3	]	]	PUNCT
ejpam-5994	39	4	a	a	DET
ejpam-5994	39	5	binary	binary	ADJ
ejpam-5994	39	6	operation	operation	NOUN
ejpam-5994	39	7	*	*	PUNCT
ejpam-5994	39	8	,	,	PUNCT
ejpam-5994	39	9	mapping	mapping	NOUN
ejpam-5994	39	10	r0	r0	NOUN
ejpam-5994	39	11	,	,	PUNCT
ejpam-5994	39	12	1s2	1s2	NUM
ejpam-5994	39	13	onto	onto	ADP
ejpam-5994	39	14	r0	r0	NOUN
ejpam-5994	39	15	,	,	PUNCT
ejpam-5994	39	16	1s	1s	NUM
ejpam-5994	39	17	,	,	PUNCT
ejpam-5994	39	18	is	be	AUX
ejpam-5994	39	19	called	call	VERB
ejpam-5994	39	20	continuous	continuous	ADJ
ejpam-5994	39	21	t	t	NOUN
ejpam-5994	39	22	-	-	PUNCT
ejpam-5994	39	23	norm	norm	NOUN
ejpam-5994	39	24	,	,	PUNCT
ejpam-5994	39	25	if	if	SCONJ
ejpam-5994	39	26	for	for	ADP
ejpam-5994	39	27	all	all	DET
ejpam-5994	39	28	κ	κ	NOUN
ejpam-5994	39	29	,	,	PUNCT
ejpam-5994	39	30	χ	χ	NOUN
ejpam-5994	39	31	and	and	CCONJ
ejpam-5994	39	32	z̃	z̃	PROPN
ejpam-5994	39	33	in	in	ADP
ejpam-5994	39	34	r0	r0	NOUN
ejpam-5994	39	35	,	,	PUNCT
ejpam-5994	39	36	1s	1s	NUM
ejpam-5994	39	37	,	,	PUNCT
ejpam-5994	39	38	it	it	PRON
ejpam-5994	39	39	satisfies	satisfy	VERB
ejpam-5994	39	40	:	:	PUNCT
ejpam-5994	39	41	(	(	PUNCT
ejpam-5994	39	42	t1)κ	t1)κ	NOUN
ejpam-5994	39	43	˚	˚	PROPN
ejpam-5994	39	44	y	y	PROPN
ejpam-5994	39	45	“	"	PUNCT
ejpam-5994	39	46	y	y	PROPN
ejpam-5994	39	47	˚	˚	PROPN
ejpam-5994	39	48	κ	κ	PROPN
ejpam-5994	39	49	;	;	PUNCT
ejpam-5994	39	50	(	(	PUNCT
ejpam-5994	39	51	t2)pκ	t2)pκ	PROPN
ejpam-5994	39	52	˚	˚	PROPN
ejpam-5994	39	53	χq	χq	PROPN
ejpam-5994	39	54	˚	˚	PROPN
ejpam-5994	39	55	z̃	z̃	PROPN
ejpam-5994	39	56	“	"	PUNCT
ejpam-5994	39	57	κ	κ	PROPN
ejpam-5994	39	58	˚	˚	PROPN
ejpam-5994	39	59	pχ	pχ	PROPN
ejpam-5994	39	60	˚	˚	PROPN
ejpam-5994	39	61	z̃q	z̃q	PROPN
ejpam-5994	39	62	;	;	PUNCT
ejpam-5994	39	63	(	(	PUNCT
ejpam-5994	39	64	t3	t3	PROPN
ejpam-5994	39	65	)	)	PUNCT
ejpam-5994	39	66	˚	˚	PROPN
ejpam-5994	39	67	is	be	AUX
ejpam-5994	39	68	continuous	continuous	ADJ
ejpam-5994	39	69	;	;	PUNCT
ejpam-5994	39	70	(	(	PUNCT
ejpam-5994	39	71	t4	t4	PROPN
ejpam-5994	39	72	)	)	PUNCT
ejpam-5994	39	73	κ	κ	PROPN
ejpam-5994	39	74	˚	˚	PROPN
ejpam-5994	39	75	1	1	NUM
ejpam-5994	39	76	“	"	PUNCT
ejpam-5994	39	77	κ	κ	NOUN
ejpam-5994	39	78	for	for	ADP
ejpam-5994	39	79	all	all	DET
ejpam-5994	39	80	κ	κ	ADP
ejpam-5994	39	81	p	p	PROPN
ejpam-5994	39	82	r0	r0	NOUN
ejpam-5994	39	83	,	,	PUNCT
ejpam-5994	39	84	1s	1s	NUM
ejpam-5994	39	85	;	;	PUNCT
ejpam-5994	39	86	(	(	PUNCT
ejpam-5994	39	87	t5	t5	PROPN
ejpam-5994	39	88	)	)	PUNCT
ejpam-5994	39	89	κ	κ	PROPN
ejpam-5994	39	90	˚	˚	PROPN
ejpam-5994	39	91	z̃	z̃	PROPN
ejpam-5994	39	92	ď	ď	PROPN
ejpam-5994	39	93	χ	χ	PROPN
ejpam-5994	39	94	˚	˚	PROPN
ejpam-5994	39	95	w̃	w̃	PROPN
ejpam-5994	39	96	whenever	whenever	SCONJ
ejpam-5994	39	97	κ	κ	X
ejpam-5994	39	98	ď	ď	PROPN
ejpam-5994	39	99	χ	χ	NOUN
ejpam-5994	39	100	and	and	CCONJ
ejpam-5994	39	101	z̃	z̃	PROPN
ejpam-5994	39	102	ď	ď	PROPN
ejpam-5994	39	103	w̃.	w̃.	VERB
ejpam-5994	39	104	below	below	ADV
ejpam-5994	39	105	are	be	AUX
ejpam-5994	39	106	some	some	DET
ejpam-5994	39	107	instances	instance	NOUN
ejpam-5994	39	108	of	of	ADP
ejpam-5994	39	109	the	the	DET
ejpam-5994	39	110	continuous	continuous	ADJ
ejpam-5994	39	111	t	t	NOUN
ejpam-5994	39	112	-	-	PUNCT
ejpam-5994	39	113	norm	norm	NOUN
ejpam-5994	39	114	in	in	ADP
ejpam-5994	39	115	usage	usage	NOUN
ejpam-5994	39	116	:	:	PUNCT
ejpam-5994	39	117	κ˚lχ	κ˚lχ	PROPN
ejpam-5994	39	118	“	"	PUNCT
ejpam-5994	39	119	maxtκ`χ´1	maxtκ`χ´1	PROPN
ejpam-5994	39	120	,	,	PUNCT
ejpam-5994	39	121	0u	0u	PROPN
ejpam-5994	39	122	,	,	PUNCT
ejpam-5994	39	123	κ	κ	PROPN
ejpam-5994	39	124	˚p	˚p	VERB
ejpam-5994	39	125	χ	χ	X
ejpam-5994	39	126	“	"	PUNCT
ejpam-5994	39	127	κχ	κχ	X
ejpam-5994	39	128	and	and	CCONJ
ejpam-5994	39	129	κ	κ	PROPN
ejpam-5994	39	130	˚m	˚m	PROPN
ejpam-5994	39	131	χ	χ	PRON
ejpam-5994	39	132	“	"	PUNCT
ejpam-5994	39	133	mintκ	mintκ	PROPN
ejpam-5994	39	134	,	,	PUNCT
ejpam-5994	39	135	χu	χu	PRON
ejpam-5994	39	136	,	,	PUNCT
ejpam-5994	39	137	are	be	AUX
ejpam-5994	39	138	respectively	respectively	ADV
ejpam-5994	39	139	called	call	VERB
ejpam-5994	39	140	lukasievicz	lukasievicz	NOUN
ejpam-5994	39	141	,	,	PUNCT
ejpam-5994	39	142	product	product	NOUN
ejpam-5994	39	143	and	and	CCONJ
ejpam-5994	39	144	minimum	minimum	NOUN
ejpam-5994	39	145	t	t	NOUN
ejpam-5994	39	146	-	-	PUNCT
ejpam-5994	39	147	norm	norm	NOUN
ejpam-5994	39	148	.	.	PUNCT
ejpam-5994	40	1	the	the	DET
ejpam-5994	40	2	relation	relation	NOUN
ejpam-5994	40	3	among	among	ADP
ejpam-5994	40	4	these	these	DET
ejpam-5994	40	5	t	t	NOUN
ejpam-5994	40	6	-	-	PUNCT
ejpam-5994	40	7	norms	norm	NOUN
ejpam-5994	40	8	is	be	AUX
ejpam-5994	40	9	:	:	PUNCT
ejpam-5994	40	10	˚m	˚m	PROPN
ejpam-5994	40	11	ě	ě	X
ejpam-5994	40	12	˚p	˚p	PROPN
ejpam-5994	40	13	ě	ě	X
ejpam-5994	40	14	˚l	˚l	PROPN
ejpam-5994	40	15	.	.	PROPN
ejpam-5994	41	1	in	in	ADP
ejpam-5994	41	2	the	the	DET
ejpam-5994	41	3	sequel	sequel	NOUN
ejpam-5994	41	4	,	,	PUNCT
ejpam-5994	41	5	˚	˚	PROPN
ejpam-5994	41	6	will	will	AUX
ejpam-5994	41	7	stand	stand	VERB
ejpam-5994	41	8	for	for	ADP
ejpam-5994	41	9	an	an	DET
ejpam-5994	41	10	arbitrary	arbitrary	ADJ
ejpam-5994	41	11	continuous	continuous	ADJ
ejpam-5994	41	12	t	t	NOUN
ejpam-5994	41	13	-	-	PUNCT
ejpam-5994	41	14	norm	norm	NOUN
ejpam-5994	41	15	.	.	PUNCT
ejpam-5994	42	1	definition	definition	NOUN
ejpam-5994	42	2	2	2	NUM
ejpam-5994	42	3	.	.	PUNCT
ejpam-5994	43	1	[	[	X
ejpam-5994	43	2	2	2	X
ejpam-5994	43	3	]	]	PUNCT
ejpam-5994	43	4	a	a	DET
ejpam-5994	43	5	3	3	NUM
ejpam-5994	43	6	-	-	PUNCT
ejpam-5994	43	7	tupleps	tuplep	NOUN
ejpam-5994	43	8	,	,	PUNCT
ejpam-5994	43	9	w	w	PROPN
ejpam-5994	43	10	,	,	PUNCT
ejpam-5994	43	11	˚q	˚q	PROPN
ejpam-5994	43	12	is	be	AUX
ejpam-5994	43	13	called	call	VERB
ejpam-5994	43	14	a	a	DET
ejpam-5994	43	15	fws̃	fws̃	NOUN
ejpam-5994	43	16	,	,	PUNCT
ejpam-5994	43	17	if	if	SCONJ
ejpam-5994	43	18	w	w	NOUN
ejpam-5994	43	19	is	be	AUX
ejpam-5994	43	20	a	a	DET
ejpam-5994	43	21	fuzzy	fuzzy	ADJ
ejpam-5994	43	22	set	set	NOUN
ejpam-5994	43	23	on	on	ADP
ejpam-5994	43	24	s2xr0,`8q	s2xr0,`8q	ADV
ejpam-5994	43	25	satisfying	satisfy	VERB
ejpam-5994	43	26	the	the	DET
ejpam-5994	43	27	following	follow	VERB
ejpam-5994	43	28	conditions	condition	NOUN
ejpam-5994	43	29	for	for	ADP
ejpam-5994	43	30	all	all	DET
ejpam-5994	43	31	κ	κ	NOUN
ejpam-5994	43	32	,	,	PUNCT
ejpam-5994	43	33	ỹ	ỹ	PROPN
ejpam-5994	43	34	,	,	PUNCT
ejpam-5994	43	35	z̃	z̃	PROPN
ejpam-5994	43	36	p	p	X
ejpam-5994	43	37	x̃	x̃	PROPN
ejpam-5994	43	38	and	and	CCONJ
ejpam-5994	43	39	ζ	ζ	NOUN
ejpam-5994	43	40	,	,	PUNCT
ejpam-5994	43	41	s	s	PART
ejpam-5994	43	42	ą	ą	PROPN
ejpam-5994	43	43	0	0	NUM
ejpam-5994	43	44	:	:	PUNCT
ejpam-5994	43	45	(	(	PUNCT
ejpam-5994	43	46	fm1	fm1	PROPN
ejpam-5994	43	47	)	)	PUNCT
ejpam-5994	43	48	wpκ	wpκ	PROPN
ejpam-5994	43	49	,	,	PUNCT
ejpam-5994	43	50	ỹ	ỹ	PROPN
ejpam-5994	43	51	,	,	PUNCT
ejpam-5994	43	52	0q	0q	X
ejpam-5994	43	53	“	"	PUNCT
ejpam-5994	43	54	0	0	NUM
ejpam-5994	43	55	;	;	PUNCT
ejpam-5994	43	56	(	(	PUNCT
ejpam-5994	43	57	fm2	fm2	PROPN
ejpam-5994	43	58	)	)	PUNCT
ejpam-5994	43	59	wpκ	wpκ	PROPN
ejpam-5994	43	60	,	,	PUNCT
ejpam-5994	43	61	ỹ	ỹ	PROPN
ejpam-5994	43	62	,	,	PUNCT
ejpam-5994	43	63	ζq	ζq	ADP
ejpam-5994	43	64	“	"	PUNCT
ejpam-5994	43	65	1	1	NUM
ejpam-5994	43	66	if	if	SCONJ
ejpam-5994	43	67	and	and	CCONJ
ejpam-5994	43	68	only	only	ADV
ejpam-5994	43	69	if	if	SCONJ
ejpam-5994	43	70	κ	κ	X
ejpam-5994	43	71	“	"	PUNCT
ejpam-5994	43	72	ỹ	ỹ	PROPN
ejpam-5994	43	73	;	;	PUNCT
ejpam-5994	43	74	(	(	PUNCT
ejpam-5994	43	75	fm3	fm3	NOUN
ejpam-5994	43	76	)	)	PUNCT
ejpam-5994	43	77	wpκ	wpκ	PROPN
ejpam-5994	43	78	,	,	PUNCT
ejpam-5994	43	79	ỹ	ỹ	PROPN
ejpam-5994	43	80	,	,	PUNCT
ejpam-5994	43	81	ζq	ζq	ADP
ejpam-5994	43	82	“	"	PUNCT
ejpam-5994	43	83	wpỹ,κ	wpỹ,κ	NOUN
ejpam-5994	43	84	,	,	PUNCT
ejpam-5994	43	85	ζq	ζq	NOUN
ejpam-5994	43	86	;	;	PUNCT
ejpam-5994	43	87	k.	k.	PROPN
ejpam-5994	43	88	abodayeh	abodayeh	PROPN
ejpam-5994	43	89	et	et	PROPN
ejpam-5994	43	90	al	al	PROPN
ejpam-5994	43	91	.	.	PUNCT
ejpam-5994	43	92	/	/	SYM
ejpam-5994	43	93	eur	eur	PROPN
ejpam-5994	43	94	.	.	PUNCT
ejpam-5994	44	1	j.	j.	PROPN
ejpam-5994	44	2	pure	pure	PROPN
ejpam-5994	44	3	appl	appl	PROPN
ejpam-5994	44	4	.	.	PROPN
ejpam-5994	44	5	math	math	PROPN
ejpam-5994	44	6	,	,	PUNCT
ejpam-5994	44	7	18	18	NUM
ejpam-5994	44	8	(	(	PUNCT
ejpam-5994	44	9	2	2	NUM
ejpam-5994	44	10	)	)	PUNCT
ejpam-5994	44	11	(	(	PUNCT
ejpam-5994	44	12	2025	2025	NUM
ejpam-5994	44	13	)	)	PUNCT
ejpam-5994	44	14	,	,	PUNCT
ejpam-5994	44	15	5994	5994	NUM
ejpam-5994	44	16	3	3	NUM
ejpam-5994	44	17	of	of	ADP
ejpam-5994	44	18	22	22	NUM
ejpam-5994	44	19	(	(	PUNCT
ejpam-5994	44	20	fm4	fm4	PROPN
ejpam-5994	44	21	)	)	PUNCT
ejpam-5994	44	22	wpκ	wpκ	PROPN
ejpam-5994	44	23	,	,	PUNCT
ejpam-5994	44	24	ỹ	ỹ	PROPN
ejpam-5994	44	25	,	,	PUNCT
ejpam-5994	44	26	ζq	ζq	VERB
ejpam-5994	44	27	˚	˚	PROPN
ejpam-5994	44	28	wpỹ	wpỹ	PROPN
ejpam-5994	44	29	,	,	PUNCT
ejpam-5994	44	30	z̃	z̃	PROPN
ejpam-5994	44	31	,	,	PUNCT
ejpam-5994	44	32	s̃q	s̃q	PRON
ejpam-5994	44	33	ď	ď	VERB
ejpam-5994	44	34	wpκ	wpκ	PROPN
ejpam-5994	44	35	,	,	PUNCT
ejpam-5994	44	36	z̃	z̃	PROPN
ejpam-5994	44	37	,	,	PUNCT
ejpam-5994	44	38	ζ	ζ	NOUN
ejpam-5994	44	39	`	`	PUNCT
ejpam-5994	44	40	s̃q	s̃q	NOUN
ejpam-5994	44	41	;	;	PUNCT
ejpam-5994	44	42	(	(	PUNCT
ejpam-5994	44	43	fm5	fm5	NOUN
ejpam-5994	44	44	)	)	PUNCT
ejpam-5994	44	45	wpκ	wpκ	PROPN
ejpam-5994	44	46	,	,	PUNCT
ejpam-5994	44	47	ỹ	ỹ	PROPN
ejpam-5994	44	48	,	,	PUNCT
ejpam-5994	44	49	¨q	¨q	PROPN
ejpam-5994	44	50	:	:	PUNCT
ejpam-5994	44	51	r0,`8q	r0,`8q	PUNCT
ejpam-5994	44	52	ñ	ñ	NOUN
ejpam-5994	44	53	r0	r0	NOUN
ejpam-5994	44	54	,	,	PUNCT
ejpam-5994	44	55	1s	1s	PROPN
ejpam-5994	44	56	is	be	AUX
ejpam-5994	44	57	left	leave	VERB
ejpam-5994	44	58	continuous	continuous	ADJ
ejpam-5994	44	59	.	.	PUNCT
ejpam-5994	45	1	definition	definition	NOUN
ejpam-5994	45	2	3	3	NUM
ejpam-5994	45	3	.	.	PUNCT
ejpam-5994	46	1	[	[	X
ejpam-5994	46	2	9	9	NUM
ejpam-5994	46	3	]	]	PUNCT
ejpam-5994	46	4	for	for	ADP
ejpam-5994	46	5	a	a	DET
ejpam-5994	46	6	given	give	VERB
ejpam-5994	46	7	b	b	NOUN
ejpam-5994	46	8	p	p	X
ejpam-5994	46	9	r0,`8q	r0,`8q	PROPN
ejpam-5994	46	10	,	,	PUNCT
ejpam-5994	46	11	the	the	DET
ejpam-5994	46	12	fuzzy	fuzzy	ADJ
ejpam-5994	46	13	set	set	NOUN
ejpam-5994	46	14	w	w	NOUN
ejpam-5994	46	15	:	:	PUNCT
ejpam-5994	46	16	s2	s2	VERB
ejpam-5994	46	17	ˆ	ˆ	X
ejpam-5994	46	18	r0,`8q	r0,`8q	X
ejpam-5994	46	19	ñ	ñ	NOUN
ejpam-5994	46	20	r0	r0	NOUN
ejpam-5994	46	21	,	,	PUNCT
ejpam-5994	46	22	1s	1s	PROPN
ejpam-5994	46	23	is	be	AUX
ejpam-5994	46	24	called	call	VERB
ejpam-5994	46	25	fbw	fbw	PROPN
ejpam-5994	46	26	if	if	SCONJ
ejpam-5994	46	27	for	for	ADP
ejpam-5994	46	28	all	all	DET
ejpam-5994	46	29	κ	κ	NOUN
ejpam-5994	46	30	,	,	PUNCT
ejpam-5994	46	31	ỹ	ỹ	PROPN
ejpam-5994	46	32	,	,	PUNCT
ejpam-5994	46	33	z̃	z̃	PROPN
ejpam-5994	46	34	p	p	NOUN
ejpam-5994	46	35	s	s	PROPN
ejpam-5994	46	36	,	,	PUNCT
ejpam-5994	46	37	ζ	ζ	NOUN
ejpam-5994	46	38	,	,	PUNCT
ejpam-5994	46	39	s̃	s̃	PROPN
ejpam-5994	46	40	ą	ą	PROPN
ejpam-5994	46	41	0	0	NUM
ejpam-5994	46	42	it	it	PRON
ejpam-5994	46	43	satisfies	satisfy	VERB
ejpam-5994	46	44	:	:	PUNCT
ejpam-5994	46	45	pfbm1q	pfbm1q	PROPN
ejpam-5994	46	46	wbpκ	wbpκ	PROPN
ejpam-5994	46	47	,	,	PUNCT
ejpam-5994	46	48	ỹ	ỹ	PROPN
ejpam-5994	46	49	,	,	PUNCT
ejpam-5994	46	50	0q	0q	X
ejpam-5994	46	51	“	"	PUNCT
ejpam-5994	46	52	0	0	NUM
ejpam-5994	46	53	;	;	PUNCT
ejpam-5994	46	54	pfbm2q	pfbm2q	PROPN
ejpam-5994	46	55	wbpκ	wbpκ	PROPN
ejpam-5994	46	56	,	,	PUNCT
ejpam-5994	46	57	ỹ	ỹ	PROPN
ejpam-5994	46	58	,	,	PUNCT
ejpam-5994	46	59	ζq	ζq	ADP
ejpam-5994	46	60	“	"	PUNCT
ejpam-5994	46	61	1	1	NUM
ejpam-5994	46	62	if	if	SCONJ
ejpam-5994	46	63	and	and	CCONJ
ejpam-5994	46	64	only	only	ADV
ejpam-5994	46	65	if	if	SCONJ
ejpam-5994	46	66	κ	κ	X
ejpam-5994	46	67	“	"	PUNCT
ejpam-5994	46	68	ỹ	ỹ	PROPN
ejpam-5994	46	69	;	;	PUNCT
ejpam-5994	46	70	pfbm3q	pfbm3q	PROPN
ejpam-5994	46	71	wbpκ	wbpκ	NOUN
ejpam-5994	46	72	,	,	PUNCT
ejpam-5994	46	73	ỹ	ỹ	PROPN
ejpam-5994	46	74	,	,	PUNCT
ejpam-5994	46	75	ζq	ζq	ADP
ejpam-5994	46	76	“	"	PUNCT
ejpam-5994	46	77	wpỹ,κ	wpỹ,κ	NOUN
ejpam-5994	46	78	,	,	PUNCT
ejpam-5994	46	79	ζq	ζq	NOUN
ejpam-5994	46	80	;	;	PUNCT
ejpam-5994	46	81	pfbm4q	pfbm4q	PROPN
ejpam-5994	46	82	wbpκ	wbpκ	NOUN
ejpam-5994	46	83	,	,	PUNCT
ejpam-5994	46	84	ỹ	ỹ	PROPN
ejpam-5994	46	85	,	,	PUNCT
ejpam-5994	46	86	ζb	ζb	NOUN
ejpam-5994	46	87	q	q	PROPN
ejpam-5994	46	88	˚	˚	PROPN
ejpam-5994	46	89	wbpỹ	wbpỹ	PROPN
ejpam-5994	46	90	,	,	PUNCT
ejpam-5994	46	91	z̃	z̃	PROPN
ejpam-5994	46	92	,	,	PUNCT
ejpam-5994	46	93	s̃	s̃	PROPN
ejpam-5994	46	94	b	b	PROPN
ejpam-5994	46	95	q	q	X
ejpam-5994	46	96	ď	ď	PROPN
ejpam-5994	46	97	wbpκ	wbpκ	NOUN
ejpam-5994	46	98	,	,	PUNCT
ejpam-5994	46	99	z̃	z̃	PROPN
ejpam-5994	46	100	,	,	PUNCT
ejpam-5994	46	101	ζ	ζ	NOUN
ejpam-5994	46	102	`	`	PUNCT
ejpam-5994	46	103	s̃q	s̃q	NOUN
ejpam-5994	46	104	;	;	PUNCT
ejpam-5994	46	105	pfbm5q	pfbm5q	PROPN
ejpam-5994	46	106	wbpκ	wbpκ	NOUN
ejpam-5994	46	107	,	,	PUNCT
ejpam-5994	46	108	ỹ	ỹ	PROPN
ejpam-5994	46	109	,	,	PUNCT
ejpam-5994	46	110	¨q	¨q	PROPN
ejpam-5994	46	111	:	:	PUNCT
ejpam-5994	46	112	p0,`8q	p0,`8q	ADJ
ejpam-5994	46	113	ñ	ñ	NOUN
ejpam-5994	46	114	r0	r0	NOUN
ejpam-5994	46	115	,	,	PUNCT
ejpam-5994	46	116	1s	1s	PROPN
ejpam-5994	46	117	is	be	AUX
ejpam-5994	46	118	continuous	continuous	ADJ
ejpam-5994	46	119	and	and	CCONJ
ejpam-5994	46	120	lim	lim	PROPN
ejpam-5994	46	121	nñ`8	nñ`8	PROPN
ejpam-5994	46	122	wµpκ	wµpκ	NOUN
ejpam-5994	46	123	,	,	PUNCT
ejpam-5994	46	124	ỹ	ỹ	PROPN
ejpam-5994	46	125	,	,	PUNCT
ejpam-5994	46	126	ζq	ζq	ADP
ejpam-5994	46	127	“	"	PUNCT
ejpam-5994	46	128	1	1	NUM
ejpam-5994	46	129	.	.	X
ejpam-5994	46	130	remark	remark	NOUN
ejpam-5994	46	131	1	1	NUM
ejpam-5994	46	132	.	.	PUNCT
ejpam-5994	47	1	fbws̃	fbws̃	NOUN
ejpam-5994	47	2	becomes	become	VERB
ejpam-5994	47	3	fws̃	fws̃	NOUN
ejpam-5994	47	4	for	for	ADP
ejpam-5994	47	5	b	b	NOUN
ejpam-5994	47	6	=	=	SYM
ejpam-5994	47	7	1	1	PROPN
ejpam-5994	47	8	.	.	NOUN
ejpam-5994	47	9	remark	remark	NOUN
ejpam-5994	47	10	2	2	NUM
ejpam-5994	47	11	.	.	PUNCT
ejpam-5994	48	1	[	[	X
ejpam-5994	48	2	17	17	NUM
ejpam-5994	48	3	]	]	PUNCT
ejpam-5994	48	4	generally	generally	ADV
ejpam-5994	48	5	speaking	speak	VERB
ejpam-5994	48	6	,	,	PUNCT
ejpam-5994	48	7	a	a	DET
ejpam-5994	48	8	fbws̃	fbws̃	NOUN
ejpam-5994	48	9	is	be	AUX
ejpam-5994	48	10	not	not	PART
ejpam-5994	48	11	continuous	continuous	ADJ
ejpam-5994	48	12	.	.	PUNCT
ejpam-5994	48	13	example	example	NOUN
ejpam-5994	48	14	1	1	NUM
ejpam-5994	48	15	demonstrates	demonstrate	VERB
ejpam-5994	48	16	that	that	SCONJ
ejpam-5994	48	17	it	it	PRON
ejpam-5994	48	18	is	be	AUX
ejpam-5994	48	19	not	not	PART
ejpam-5994	48	20	necessary	necessary	ADJ
ejpam-5994	48	21	for	for	ADP
ejpam-5994	48	22	a	a	DET
ejpam-5994	48	23	fbw	fbw	NOUN
ejpam-5994	48	24	on	on	ADP
ejpam-5994	48	25	s	s	NOUN
ejpam-5994	48	26	to	to	PART
ejpam-5994	48	27	be	be	AUX
ejpam-5994	48	28	a	a	DET
ejpam-5994	48	29	fw	fw	NOUN
ejpam-5994	48	30	on	on	ADP
ejpam-5994	48	31	s.	s.	PROPN
ejpam-5994	48	32	definition	definition	NOUN
ejpam-5994	48	33	4	4	NUM
ejpam-5994	48	34	.	.	PUNCT
ejpam-5994	49	1	[	[	X
ejpam-5994	49	2	10	10	NUM
ejpam-5994	49	3	]	]	PUNCT
ejpam-5994	49	4	the	the	DET
ejpam-5994	49	5	ordered	order	VERB
ejpam-5994	49	6	triple	triple	ADJ
ejpam-5994	49	7	ps	ps	NOUN
ejpam-5994	49	8	,	,	PUNCT
ejpam-5994	49	9	we	we	PRON
ejpam-5994	49	10	,	,	PUNCT
ejpam-5994	49	11	˚q	˚q	PROPN
ejpam-5994	49	12	is	be	AUX
ejpam-5994	49	13	called	call	VERB
ejpam-5994	49	14	efbws̃	efbws̃	ADJ
ejpam-5994	49	15	by	by	ADP
ejpam-5994	49	16	function	function	NOUN
ejpam-5994	49	17	α	α	NOUN
ejpam-5994	49	18	:	:	PUNCT
ejpam-5994	49	19	sˆs	sˆs	NOUN
ejpam-5994	49	20	ñ	ñ	PROPN
ejpam-5994	49	21	r1,`8q	r1,`8q	PRON
ejpam-5994	49	22	,	,	PUNCT
ejpam-5994	49	23	where	where	SCONJ
ejpam-5994	49	24	we	we	PRON
ejpam-5994	49	25	:	:	PUNCT
ejpam-5994	49	26	s	s	AUX
ejpam-5994	49	27	ˆ	ˆ	ADJ
ejpam-5994	49	28	s	s	X
ejpam-5994	49	29	ñ	ñ	NOUN
ejpam-5994	49	30	r0,`8q	r0,`8q	ADV
ejpam-5994	49	31	is	be	AUX
ejpam-5994	49	32	fuzzy	fuzzy	ADJ
ejpam-5994	49	33	set	set	VERB
ejpam-5994	49	34	which	which	PRON
ejpam-5994	49	35	for	for	ADP
ejpam-5994	49	36	all	all	DET
ejpam-5994	49	37	κ	κ	NOUN
ejpam-5994	49	38	,	,	PUNCT
ejpam-5994	49	39	ỹ	ỹ	PROPN
ejpam-5994	49	40	,	,	PUNCT
ejpam-5994	49	41	z̃	z̃	PROPN
ejpam-5994	49	42	p	p	NOUN
ejpam-5994	49	43	s	s	PART
ejpam-5994	49	44	satisfies	satisfy	VERB
ejpam-5994	49	45	the	the	DET
ejpam-5994	49	46	conditons	conditon	NOUN
ejpam-5994	49	47	:	:	PUNCT
ejpam-5994	49	48	pfebm1q	pfebm1q	NOUN
ejpam-5994	49	49	wepκ	wepκ	VERB
ejpam-5994	49	50	,	,	PUNCT
ejpam-5994	49	51	ỹ	ỹ	PROPN
ejpam-5994	49	52	,	,	PUNCT
ejpam-5994	49	53	0q	0q	X
ejpam-5994	49	54	“	"	PUNCT
ejpam-5994	49	55	0	0	NUM
ejpam-5994	49	56	;	;	PUNCT
ejpam-5994	49	57	pfebm2q	pfebm2q	ADJ
ejpam-5994	49	58	wepκ	wepκ	NOUN
ejpam-5994	49	59	,	,	PUNCT
ejpam-5994	49	60	ỹ	ỹ	PROPN
ejpam-5994	49	61	,	,	PUNCT
ejpam-5994	49	62	ζq	ζq	ADP
ejpam-5994	49	63	“	"	PUNCT
ejpam-5994	49	64	1	1	NUM
ejpam-5994	49	65	,	,	PUNCT
ejpam-5994	49	66	for	for	ADP
ejpam-5994	49	67	all	all	DET
ejpam-5994	49	68	ζ	ζ	NOUN
ejpam-5994	49	69	ą	ą	PROPN
ejpam-5994	49	70	0	0	PUNCT
ejpam-5994	50	1	if	if	SCONJ
ejpam-5994	50	2	and	and	CCONJ
ejpam-5994	50	3	only	only	ADV
ejpam-5994	50	4	if	if	SCONJ
ejpam-5994	50	5	ỹ	ỹ	PROPN
ejpam-5994	50	6	“	"	PUNCT
ejpam-5994	50	7	κ	κ	PROPN
ejpam-5994	50	8	;	;	PUNCT
ejpam-5994	50	9	pfebm3q	pfebm3q	NOUN
ejpam-5994	50	10	wepκ	wepκ	VERB
ejpam-5994	50	11	,	,	PUNCT
ejpam-5994	50	12	ỹ	ỹ	PROPN
ejpam-5994	50	13	,	,	PUNCT
ejpam-5994	50	14	ζq	ζq	ADP
ejpam-5994	50	15	“	"	PUNCT
ejpam-5994	50	16	wepỹ,κ	wepỹ,κ	ADV
ejpam-5994	50	17	,	,	PUNCT
ejpam-5994	50	18	ζq	ζq	NOUN
ejpam-5994	50	19	;	;	PUNCT
ejpam-5994	50	20	pfebm4q	pfebm4q	X
ejpam-5994	50	21	wepκ	wepκ	VERB
ejpam-5994	50	22	,	,	PUNCT
ejpam-5994	50	23	z̃	z̃	PROPN
ejpam-5994	50	24	,	,	PUNCT
ejpam-5994	50	25	αpκ	αpκ	NUM
ejpam-5994	50	26	,	,	PUNCT
ejpam-5994	50	27	z̃qpζ	z̃qpζ	NUM
ejpam-5994	50	28	`	`	PUNCT
ejpam-5994	50	29	s̃q	s̃q	NOUN
ejpam-5994	51	1	ě	ě	X
ejpam-5994	51	2	wepκ	wepκ	NOUN
ejpam-5994	51	3	,	,	PUNCT
ejpam-5994	51	4	ỹ	ỹ	PROPN
ejpam-5994	51	5	,	,	PUNCT
ejpam-5994	51	6	ζq	ζq	VERB
ejpam-5994	51	7	˚	˚	PROPN
ejpam-5994	51	8	wepỹ	wepỹ	PROPN
ejpam-5994	51	9	,	,	PUNCT
ejpam-5994	51	10	z̃	z̃	PROPN
ejpam-5994	51	11	,	,	PUNCT
ejpam-5994	51	12	s̃q	s̃q	NOUN
ejpam-5994	51	13	,	,	PUNCT
ejpam-5994	51	14	for	for	ADP
ejpam-5994	51	15	all	all	DET
ejpam-5994	51	16	s	s	NOUN
ejpam-5994	51	17	,	,	PUNCT
ejpam-5994	51	18	ζ	ζ	PROPN
ejpam-5994	51	19	ą	ą	PROPN
ejpam-5994	51	20	0	0	NUM
ejpam-5994	51	21	;	;	PUNCT
ejpam-5994	51	22	pfebm5q	pfebm5q	PROPN
ejpam-5994	51	23	wepκ	wepκ	VERB
ejpam-5994	51	24	,	,	PUNCT
ejpam-5994	51	25	ỹ	ỹ	PROPN
ejpam-5994	51	26	,	,	PUNCT
ejpam-5994	51	27	.q	.q	PROPN
ejpam-5994	51	28	:	:	PUNCT
ejpam-5994	51	29	p0,`8q	p0,`8q	X
ejpam-5994	51	30	ñ	ñ	NOUN
ejpam-5994	51	31	r0	r0	NOUN
ejpam-5994	51	32	,	,	PUNCT
ejpam-5994	51	33	1s	1s	PROPN
ejpam-5994	51	34	is	be	AUX
ejpam-5994	51	35	continuous	continuous	ADJ
ejpam-5994	51	36	and	and	CCONJ
ejpam-5994	51	37	lim	lim	PROPN
ejpam-5994	51	38	ζñ`8	ζñ`8	PROPN
ejpam-5994	51	39	wepκ	wepκ	PROPN
ejpam-5994	51	40	,	,	PUNCT
ejpam-5994	51	41	ỹ	ỹ	PROPN
ejpam-5994	51	42	,	,	PUNCT
ejpam-5994	51	43	ζq	ζq	ADP
ejpam-5994	51	44	“	"	PUNCT
ejpam-5994	51	45	1	1	NUM
ejpam-5994	51	46	.	.	X
ejpam-5994	51	47	definition	definition	NOUN
ejpam-5994	51	48	5	5	NUM
ejpam-5994	51	49	.	.	PUNCT
ejpam-5994	52	1	[	[	X
ejpam-5994	52	2	12	12	NUM
ejpam-5994	52	3	]	]	PUNCT
ejpam-5994	52	4	let	let	VERB
ejpam-5994	52	5	α	α	PRON
ejpam-5994	52	6	,	,	PUNCT
ejpam-5994	52	7	µ	µ	X
ejpam-5994	52	8	:	:	PUNCT
ejpam-5994	52	9	s	s	VERB
ejpam-5994	52	10	ˆ	ˆ	ADJ
ejpam-5994	52	11	s	s	X
ejpam-5994	52	12	ñ	ñ	NOUN
ejpam-5994	52	13	r1,`8q	r1,`8q	ADV
ejpam-5994	52	14	be	be	AUX
ejpam-5994	52	15	bounded	bound	VERB
ejpam-5994	52	16	functions	function	NOUN
ejpam-5994	52	17	.	.	PUNCT
ejpam-5994	53	1	a	a	DET
ejpam-5994	53	2	fuzzy	fuzzy	ADJ
ejpam-5994	53	3	set	set	NOUN
ejpam-5994	53	4	wµ	wµ	NOUN
ejpam-5994	53	5	:	:	PUNCT
ejpam-5994	53	6	s	s	VERB
ejpam-5994	53	7	ˆ	ˆ	NOUN
ejpam-5994	53	8	s	s	NOUN
ejpam-5994	53	9	ˆ	ˆ	ADJ
ejpam-5994	53	10	r0,`8q	r0,`8q	ADV
ejpam-5994	53	11	is	be	AUX
ejpam-5994	53	12	said	say	VERB
ejpam-5994	53	13	to	to	PART
ejpam-5994	53	14	be	be	AUX
ejpam-5994	53	15	µefbw	µefbw	NOUN
ejpam-5994	53	16	if	if	SCONJ
ejpam-5994	53	17	for	for	ADP
ejpam-5994	53	18	all	all	DET
ejpam-5994	53	19	κ	κ	NOUN
ejpam-5994	53	20	,	,	PUNCT
ejpam-5994	53	21	ỹ	ỹ	PROPN
ejpam-5994	53	22	,	,	PUNCT
ejpam-5994	53	23	z̃	z̃	PROPN
ejpam-5994	53	24	p	p	NOUN
ejpam-5994	53	25	s	s	PROPN
ejpam-5994	53	26	,	,	PUNCT
ejpam-5994	53	27	the	the	DET
ejpam-5994	53	28	following	follow	VERB
ejpam-5994	53	29	conditions	condition	NOUN
ejpam-5994	53	30	are	be	AUX
ejpam-5994	53	31	satisfied	satisfied	ADJ
ejpam-5994	53	32	:	:	PUNCT
ejpam-5994	53	33	pµe1q	pµe1q	DET
ejpam-5994	53	34	wµpκ	wµpκ	NOUN
ejpam-5994	53	35	,	,	PUNCT
ejpam-5994	53	36	ỹ	ỹ	PROPN
ejpam-5994	53	37	,	,	PUNCT
ejpam-5994	53	38	0q	0q	X
ejpam-5994	53	39	“	"	PUNCT
ejpam-5994	53	40	0	0	NUM
ejpam-5994	53	41	;	;	PUNCT
ejpam-5994	54	1	pµe2q	pµe2q	PROPN
ejpam-5994	54	2	wµpκ	wµpκ	NOUN
ejpam-5994	54	3	,	,	PUNCT
ejpam-5994	54	4	ỹ	ỹ	PROPN
ejpam-5994	54	5	,	,	PUNCT
ejpam-5994	54	6	ζq	ζq	ADP
ejpam-5994	54	7	“	"	PUNCT
ejpam-5994	54	8	1	1	NUM
ejpam-5994	54	9	,	,	PUNCT
ejpam-5994	54	10	for	for	ADP
ejpam-5994	54	11	all	all	DET
ejpam-5994	54	12	ζ	ζ	NOUN
ejpam-5994	54	13	ą	ą	PROPN
ejpam-5994	54	14	0	0	PUNCT
ejpam-5994	55	1	if	if	SCONJ
ejpam-5994	55	2	and	and	CCONJ
ejpam-5994	55	3	only	only	ADV
ejpam-5994	55	4	if	if	SCONJ
ejpam-5994	55	5	κ	κ	X
ejpam-5994	55	6	“	"	PUNCT
ejpam-5994	55	7	ỹ	ỹ	PROPN
ejpam-5994	55	8	;	;	PUNCT
ejpam-5994	55	9	pµe3q	pµe3q	X
ejpam-5994	55	10	wµpκ	wµpκ	NOUN
ejpam-5994	55	11	,	,	PUNCT
ejpam-5994	55	12	ỹ	ỹ	PROPN
ejpam-5994	55	13	,	,	PUNCT
ejpam-5994	55	14	ζq	ζq	ADP
ejpam-5994	55	15	“	"	PUNCT
ejpam-5994	55	16	wµpỹ,κ	wµpỹ,κ	INTJ
ejpam-5994	55	17	,	,	PUNCT
ejpam-5994	55	18	ζq	ζq	ADP
ejpam-5994	55	19	;	;	PUNCT
ejpam-5994	55	20	pµe4q	pµe4q	NOUN
ejpam-5994	55	21	wµpκ	wµpκ	NOUN
ejpam-5994	55	22	,	,	PUNCT
ejpam-5994	55	23	z̃	z̃	PROPN
ejpam-5994	55	24	,	,	PUNCT
ejpam-5994	55	25	αpκ	αpκ	NUM
ejpam-5994	55	26	,	,	PUNCT
ejpam-5994	55	27	z̃qζ	z̃qζ	PROPN
ejpam-5994	55	28	`	`	PUNCT
ejpam-5994	55	29	µpκ	µpκ	PROPN
ejpam-5994	55	30	,	,	PUNCT
ejpam-5994	55	31	z̃qȷq	z̃qȷq	PROPN
ejpam-5994	55	32	ě	ě	X
ejpam-5994	55	33	wµpκ	wµpκ	NOUN
ejpam-5994	55	34	,	,	PUNCT
ejpam-5994	55	35	ỹ	ỹ	PROPN
ejpam-5994	55	36	,	,	PUNCT
ejpam-5994	55	37	ζq	ζq	VERB
ejpam-5994	55	38	˚	˚	PROPN
ejpam-5994	55	39	wµpỹ	wµpỹ	PROPN
ejpam-5994	55	40	,	,	PUNCT
ejpam-5994	55	41	z̃	z̃	PROPN
ejpam-5994	55	42	,	,	PUNCT
ejpam-5994	55	43	ȷq	ȷq	X
ejpam-5994	55	44	,	,	PUNCT
ejpam-5994	55	45	for	for	ADP
ejpam-5994	55	46	all	all	DET
ejpam-5994	55	47	ȷ	ȷ	NOUN
ejpam-5994	55	48	,	,	PUNCT
ejpam-5994	55	49	ζ	ζ	PROPN
ejpam-5994	55	50	ą	ą	PROPN
ejpam-5994	55	51	0	0	NUM
ejpam-5994	55	52	;	;	PUNCT
ejpam-5994	55	53	pµe5q	pµe5q	X
ejpam-5994	55	54	wµpκ	wµpκ	NOUN
ejpam-5994	55	55	,	,	PUNCT
ejpam-5994	55	56	ỹ	ỹ	PROPN
ejpam-5994	55	57	,	,	PUNCT
ejpam-5994	55	58	.q	.q	PROPN
ejpam-5994	55	59	:	:	PUNCT
ejpam-5994	55	60	p0,`8q	p0,`8q	X
ejpam-5994	55	61	ñ	ñ	NOUN
ejpam-5994	55	62	r0	r0	NOUN
ejpam-5994	55	63	,	,	PUNCT
ejpam-5994	55	64	1s	1s	PROPN
ejpam-5994	55	65	is	be	AUX
ejpam-5994	55	66	continuous	continuous	ADJ
ejpam-5994	55	67	and	and	CCONJ
ejpam-5994	55	68	lim	lim	PROPN
ejpam-5994	55	69	ζñ`8	ζñ`8	ADJ
ejpam-5994	55	70	wµpκ	wµpκ	NOUN
ejpam-5994	55	71	,	,	PUNCT
ejpam-5994	55	72	ỹ	ỹ	PROPN
ejpam-5994	55	73	,	,	PUNCT
ejpam-5994	55	74	ζq	ζq	ADP
ejpam-5994	55	75	“	"	PUNCT
ejpam-5994	55	76	1	1	X
ejpam-5994	55	77	.	.	PUNCT
ejpam-5994	56	1	then	then	ADV
ejpam-5994	56	2	ps	ps	PROPN
ejpam-5994	56	3	,	,	PUNCT
ejpam-5994	56	4	wµ	wµ	PROPN
ejpam-5994	56	5	,	,	PUNCT
ejpam-5994	56	6	˚	˚	PROPN
ejpam-5994	56	7	,	,	PUNCT
ejpam-5994	56	8	α	α	PROPN
ejpam-5994	56	9	,	,	PUNCT
ejpam-5994	56	10	µq	µq	PROPN
ejpam-5994	56	11	is	be	AUX
ejpam-5994	56	12	called	call	VERB
ejpam-5994	56	13	µefbws̃	µefbws̃	NOUN
ejpam-5994	56	14	,	,	PUNCT
ejpam-5994	56	15	remark	remark	NOUN
ejpam-5994	56	16	3	3	NUM
ejpam-5994	56	17	.	.	PUNCT
ejpam-5994	57	1	it	it	PRON
ejpam-5994	57	2	is	be	AUX
ejpam-5994	57	3	important	important	ADJ
ejpam-5994	57	4	to	to	PART
ejpam-5994	57	5	note	note	VERB
ejpam-5994	57	6	that	that	SCONJ
ejpam-5994	57	7	fbws̃	fbws̃	NOUN
ejpam-5994	57	8	and	and	CCONJ
ejpam-5994	57	9	efbws̃	efbws̃	PROPN
ejpam-5994	57	10	are	be	AUX
ejpam-5994	57	11	specific	specific	ADJ
ejpam-5994	57	12	forms	form	NOUN
ejpam-5994	57	13	of	of	ADP
ejpam-5994	57	14	µefbws̃	µefbws̃	NOUN
ejpam-5994	57	15	when	when	SCONJ
ejpam-5994	57	16	αpκ	αpκ	NOUN
ejpam-5994	57	17	,	,	PUNCT
ejpam-5994	57	18	ỹq	ỹq	NOUN
ejpam-5994	57	19	“	"	PUNCT
ejpam-5994	57	20	µpκ	µpκ	PROPN
ejpam-5994	57	21	,	,	PUNCT
ejpam-5994	57	22	ỹq	ỹq	NOUN
ejpam-5994	57	23	“	"	PUNCT
ejpam-5994	57	24	b	b	NOUN
ejpam-5994	57	25	,	,	PUNCT
ejpam-5994	57	26	for	for	ADP
ejpam-5994	57	27	some	some	DET
ejpam-5994	57	28	b	b	NOUN
ejpam-5994	57	29	ě	ě	NOUN
ejpam-5994	57	30	1	1	NUM
ejpam-5994	57	31	αpκ	αpκ	NOUN
ejpam-5994	57	32	,	,	PUNCT
ejpam-5994	57	33	ỹq	ỹq	NOUN
ejpam-5994	57	34	“	"	PUNCT
ejpam-5994	57	35	µpκ	µpκ	PROPN
ejpam-5994	57	36	,	,	PUNCT
ejpam-5994	57	37	ỹq	ỹq	PROPN
ejpam-5994	57	38	,	,	PUNCT
ejpam-5994	57	39	respectively	respectively	ADV
ejpam-5994	57	40	.	.	PUNCT
ejpam-5994	57	41	example	example	NOUN
ejpam-5994	58	1	1	1	NUM
ejpam-5994	58	2	.	.	PUNCT
ejpam-5994	59	1	[	[	X
ejpam-5994	59	2	18	18	NUM
ejpam-5994	59	3	]	]	PUNCT
ejpam-5994	59	4	let	let	VERB
ejpam-5994	59	5	wpκ	wpκ	PROPN
ejpam-5994	59	6	,	,	PUNCT
ejpam-5994	59	7	ỹ	ỹ	PROPN
ejpam-5994	59	8	,	,	PUNCT
ejpam-5994	59	9	ζq	ζq	ADP
ejpam-5994	59	10	“	"	PUNCT
ejpam-5994	59	11	e´|κ´ỹ|p{ζ	e´|κ´ỹ|p{ζ	NOUN
ejpam-5994	59	12	,	,	PUNCT
ejpam-5994	59	13	where	where	SCONJ
ejpam-5994	59	14	p	p	PROPN
ejpam-5994	59	15	p	p	X
ejpam-5994	59	16	p1,`8q	p1,`8q	PROPN
ejpam-5994	59	17	.	.	PUNCT
ejpam-5994	60	1	then	then	ADV
ejpam-5994	60	2	w	w	PROPN
ejpam-5994	60	3	is	be	AUX
ejpam-5994	60	4	a	a	DET
ejpam-5994	60	5	fbws̃	fbws̃	NOUN
ejpam-5994	60	6	with	with	ADP
ejpam-5994	60	7	b	b	NOUN
ejpam-5994	60	8	“	"	PUNCT
ejpam-5994	60	9	2p´1	2p´1	PROPN
ejpam-5994	60	10	.	.	PUNCT
ejpam-5994	61	1	ps	ps	PROPN
ejpam-5994	61	2	,	,	PUNCT
ejpam-5994	61	3	w	w	PROPN
ejpam-5994	61	4	,	,	PUNCT
ejpam-5994	61	5	˚q	˚q	PROPN
ejpam-5994	61	6	in	in	ADP
ejpam-5994	61	7	the	the	DET
ejpam-5994	61	8	above	above	ADJ
ejpam-5994	61	9	example	example	NOUN
ejpam-5994	61	10	is	be	AUX
ejpam-5994	61	11	not	not	PART
ejpam-5994	61	12	a	a	DET
ejpam-5994	61	13	fws̃	fws̃	NOUN
ejpam-5994	61	14	for	for	ADP
ejpam-5994	61	15	p	p	NOUN
ejpam-5994	61	16	“	"	PUNCT
ejpam-5994	61	17	2	2	NUM
ejpam-5994	61	18	.	.	PUNCT
ejpam-5994	61	19	k.	k.	PROPN
ejpam-5994	62	1	abodayeh	abodayeh	PROPN
ejpam-5994	62	2	et	et	PROPN
ejpam-5994	62	3	al	al	PROPN
ejpam-5994	62	4	.	.	PUNCT
ejpam-5994	62	5	/	/	SYM
ejpam-5994	62	6	eur	eur	PROPN
ejpam-5994	62	7	.	.	PUNCT
ejpam-5994	63	1	j.	j.	PROPN
ejpam-5994	63	2	pure	pure	PROPN
ejpam-5994	63	3	appl	appl	PROPN
ejpam-5994	63	4	.	.	PROPN
ejpam-5994	63	5	math	math	PROPN
ejpam-5994	63	6	,	,	PUNCT
ejpam-5994	63	7	18	18	NUM
ejpam-5994	63	8	(	(	PUNCT
ejpam-5994	63	9	2	2	NUM
ejpam-5994	63	10	)	)	PUNCT
ejpam-5994	63	11	(	(	PUNCT
ejpam-5994	63	12	2025	2025	NUM
ejpam-5994	63	13	)	)	PUNCT
ejpam-5994	63	14	,	,	PUNCT
ejpam-5994	63	15	5994	5994	NUM
ejpam-5994	63	16	4	4	NUM
ejpam-5994	63	17	of	of	ADP
ejpam-5994	63	18	22	22	NUM
ejpam-5994	63	19	example	example	NOUN
ejpam-5994	63	20	2	2	NUM
ejpam-5994	63	21	.	.	PUNCT
ejpam-5994	64	1	[	[	X
ejpam-5994	64	2	12	12	NUM
ejpam-5994	64	3	]	]	X
ejpam-5994	64	4	let	let	VERB
ejpam-5994	64	5	s	s	PRON
ejpam-5994	64	6	“	"	PUNCT
ejpam-5994	64	7	r0	r0	NOUN
ejpam-5994	64	8	,	,	PUNCT
ejpam-5994	64	9	1s	1s	NUM
ejpam-5994	64	10	and	and	CCONJ
ejpam-5994	64	11	wµpκ	wµpκ	NOUN
ejpam-5994	64	12	,	,	PUNCT
ejpam-5994	64	13	ỹ	ỹ	PROPN
ejpam-5994	64	14	,	,	PUNCT
ejpam-5994	64	15	ζq	ζq	ADP
ejpam-5994	64	16	“	"	PUNCT
ejpam-5994	64	17	e	e	X
ejpam-5994	64	18	´	´	NOUN
ejpam-5994	64	19	|κ´ỹ|	|κ´ỹ|	NOUN
ejpam-5994	64	20	ζ	ζ	NOUN
ejpam-5994	64	21	,	,	PUNCT
ejpam-5994	64	22	for	for	ADP
ejpam-5994	64	23	all	all	DET
ejpam-5994	64	24	κ	κ	NOUN
ejpam-5994	64	25	,	,	PUNCT
ejpam-5994	64	26	ỹ	ỹ	PROPN
ejpam-5994	64	27	p	p	PROPN
ejpam-5994	64	28	s.	s.	PROPN
ejpam-5994	65	1	it	it	PRON
ejpam-5994	65	2	can	can	AUX
ejpam-5994	65	3	be	be	AUX
ejpam-5994	65	4	readily	readily	ADV
ejpam-5994	65	5	confirmed	confirm	VERB
ejpam-5994	65	6	that	that	SCONJ
ejpam-5994	65	7	ps	ps	PROPN
ejpam-5994	65	8	,	,	PUNCT
ejpam-5994	65	9	wµ	wµ	PROPN
ejpam-5994	65	10	,	,	PUNCT
ejpam-5994	65	11	˚	˚	PROPN
ejpam-5994	65	12	,	,	PUNCT
ejpam-5994	65	13	α	α	PROPN
ejpam-5994	65	14	,	,	PUNCT
ejpam-5994	65	15	µq	µq	PROPN
ejpam-5994	65	16	is	be	AUX
ejpam-5994	65	17	a	a	DET
ejpam-5994	65	18	g	g	NOUN
ejpam-5994	65	19	-	-	PUNCT
ejpam-5994	65	20	complete	complete	ADJ
ejpam-5994	65	21	µefbws̃	µefbws̃	NOUN
ejpam-5994	65	22	with	with	ADP
ejpam-5994	65	23	mappings	mapping	NOUN
ejpam-5994	65	24	α	α	NOUN
ejpam-5994	65	25	,	,	PUNCT
ejpam-5994	65	26	µ	µ	X
ejpam-5994	65	27	:	:	PUNCT
ejpam-5994	65	28	s	s	VERB
ejpam-5994	65	29	ˆ	ˆ	ADJ
ejpam-5994	65	30	s	s	X
ejpam-5994	65	31	ñ	ñ	NOUN
ejpam-5994	65	32	r1,`8q	r1,`8q	ADV
ejpam-5994	65	33	defined	define	VERB
ejpam-5994	65	34	by	by	ADP
ejpam-5994	65	35	αpκ	αpκ	PROPN
ejpam-5994	65	36	,	,	PUNCT
ejpam-5994	65	37	ỹq	ỹq	NOUN
ejpam-5994	65	38	“	"	PUNCT
ejpam-5994	65	39	1	1	NUM
ejpam-5994	65	40	`	`	NUM
ejpam-5994	65	41	κỹ	κỹ	NUM
ejpam-5994	65	42	and	and	CCONJ
ejpam-5994	65	43	µpκ	µpκ	NOUN
ejpam-5994	65	44	,	,	PUNCT
ejpam-5994	65	45	ỹq	ỹq	NOUN
ejpam-5994	65	46	“	"	PUNCT
ejpam-5994	65	47	1	1	NUM
ejpam-5994	65	48	`	`	PUNCT
ejpam-5994	65	49	κ	κ	X
ejpam-5994	65	50	`	`	PUNCT
ejpam-5994	65	51	ỹ	ỹ	PROPN
ejpam-5994	65	52	,	,	PUNCT
ejpam-5994	65	53	respectively	respectively	ADV
ejpam-5994	65	54	and	and	CCONJ
ejpam-5994	65	55	continuous	continuous	ADJ
ejpam-5994	65	56	t	t	NOUN
ejpam-5994	65	57	-	-	PUNCT
ejpam-5994	65	58	norm	norm	NOUN
ejpam-5994	65	59	˚	˚	NOUN
ejpam-5994	65	60	as	as	ADP
ejpam-5994	65	61	usual	usual	ADJ
ejpam-5994	65	62	product	product	NOUN
ejpam-5994	65	63	.	.	PUNCT
ejpam-5994	66	1	definition	definition	NOUN
ejpam-5994	66	2	6	6	NUM
ejpam-5994	66	3	.	.	PUNCT
ejpam-5994	67	1	let	let	VERB
ejpam-5994	67	2	tκmu	tκmu	VERB
ejpam-5994	67	3	be	be	AUX
ejpam-5994	67	4	a	a	DET
ejpam-5994	67	5	sequence	sequence	NOUN
ejpam-5994	67	6	in	in	ADP
ejpam-5994	67	7	ps	ps	PROPN
ejpam-5994	67	8	,	,	PUNCT
ejpam-5994	67	9	wµ	wµ	PROPN
ejpam-5994	67	10	,	,	PUNCT
ejpam-5994	67	11	˚	˚	PROPN
ejpam-5994	67	12	,	,	PUNCT
ejpam-5994	67	13	α	α	PROPN
ejpam-5994	67	14	,	,	PUNCT
ejpam-5994	67	15	µq	µq	PROPN
ejpam-5994	67	16	,	,	PUNCT
ejpam-5994	67	17	then	then	ADV
ejpam-5994	67	18	:	:	PUNCT
ejpam-5994	67	19	p1q	p1q	ADJ
ejpam-5994	67	20	tκmu	tκmu	NOUN
ejpam-5994	67	21	is	be	AUX
ejpam-5994	67	22	called	call	VERB
ejpam-5994	67	23	g	g	NOUN
ejpam-5994	67	24	-	-	PUNCT
ejpam-5994	67	25	convergent	convergent	NOUN
ejpam-5994	67	26	to	to	ADP
ejpam-5994	67	27	κ0	κ0	PRON
ejpam-5994	67	28	p	p	PROPN
ejpam-5994	67	29	s	s	PROPN
ejpam-5994	67	30	,	,	PUNCT
ejpam-5994	67	31	if	if	SCONJ
ejpam-5994	67	32	lim	lim	PROPN
ejpam-5994	67	33	mñ`8	mñ`8	PROPN
ejpam-5994	67	34	wµpκm	wµpκm	PROPN
ejpam-5994	67	35	,	,	PUNCT
ejpam-5994	67	36	κ0	κ0	NOUN
ejpam-5994	67	37	,	,	PUNCT
ejpam-5994	67	38	ζq	ζq	ADP
ejpam-5994	67	39	“	"	PUNCT
ejpam-5994	67	40	1	1	NUM
ejpam-5994	67	41	for	for	ADP
ejpam-5994	67	42	all	all	DET
ejpam-5994	67	43	ζ	ζ	NOUN
ejpam-5994	67	44	ą	ą	PROPN
ejpam-5994	67	45	0	0	NUM
ejpam-5994	67	46	.	.	PUNCT
ejpam-5994	68	1	p2q	p2q	NOUN
ejpam-5994	68	2	tκmu	tκmu	NOUN
ejpam-5994	68	3	is	be	AUX
ejpam-5994	68	4	g	g	NOUN
ejpam-5994	68	5	-	-	PUNCT
ejpam-5994	68	6	cauchy	cauchy	ADJ
ejpam-5994	68	7	if	if	SCONJ
ejpam-5994	68	8	lim	lim	PROPN
ejpam-5994	68	9	mñ`8	mñ`8	PROPN
ejpam-5994	68	10	wµpκm	wµpκm	NOUN
ejpam-5994	68	11	,	,	PUNCT
ejpam-5994	68	12	κm`p	κm`p	PROPN
ejpam-5994	68	13	,	,	PUNCT
ejpam-5994	68	14	ζq	ζq	ADP
ejpam-5994	68	15	“	"	PUNCT
ejpam-5994	68	16	1	1	NUM
ejpam-5994	68	17	for	for	ADP
ejpam-5994	68	18	all	all	DET
ejpam-5994	68	19	ζ	ζ	NOUN
ejpam-5994	68	20	,	,	PUNCT
ejpam-5994	68	21	p	p	PROPN
ejpam-5994	68	22	ą	ą	PROPN
ejpam-5994	68	23	0	0	NUM
ejpam-5994	68	24	.	.	PUNCT
ejpam-5994	69	1	p3q	p3q	PROPN
ejpam-5994	69	2	s	s	VERB
ejpam-5994	69	3	is	be	AUX
ejpam-5994	69	4	g	g	NOUN
ejpam-5994	69	5	-	-	PUNCT
ejpam-5994	69	6	complete	complete	ADJ
ejpam-5994	69	7	,	,	PUNCT
ejpam-5994	69	8	if	if	SCONJ
ejpam-5994	69	9	every	every	DET
ejpam-5994	69	10	cauchy	cauchy	ADJ
ejpam-5994	69	11	sequence	sequence	NOUN
ejpam-5994	69	12	converges	converge	VERB
ejpam-5994	69	13	to	to	ADP
ejpam-5994	69	14	some	some	DET
ejpam-5994	69	15	point	point	NOUN
ejpam-5994	69	16	of	of	ADP
ejpam-5994	69	17	s.	s.	PROPN
ejpam-5994	69	18	3	3	NUM
ejpam-5994	69	19	.	.	PUNCT
ejpam-5994	69	20	main	main	ADJ
ejpam-5994	69	21	results	result	NOUN
ejpam-5994	69	22	let	let	VERB
ejpam-5994	69	23	fb	fb	INTJ
ejpam-5994	69	24	denote	denote	VERB
ejpam-5994	69	25	the	the	DET
ejpam-5994	69	26	collection	collection	NOUN
ejpam-5994	69	27	of	of	ADP
ejpam-5994	69	28	all	all	DET
ejpam-5994	69	29	mappings	mapping	NOUN
ejpam-5994	69	30	β	β	X
ejpam-5994	69	31	:	:	PUNCT
ejpam-5994	69	32	r0,`8q	r0,`8q	PUNCT
ejpam-5994	69	33	ñ	ñ	NOUN
ejpam-5994	69	34	r0	r0	NOUN
ejpam-5994	69	35	,	,	PUNCT
ejpam-5994	69	36	1b	1b	X
ejpam-5994	69	37	q	q	X
ejpam-5994	69	38	,	,	PUNCT
ejpam-5994	69	39	that	that	PRON
ejpam-5994	69	40	satisfy	satisfy	VERB
ejpam-5994	69	41	the	the	DET
ejpam-5994	69	42	following	follow	VERB
ejpam-5994	69	43	condition	condition	NOUN
ejpam-5994	69	44	:	:	PUNCT
ejpam-5994	69	45	βpζnq	βpζnq	NOUN
ejpam-5994	69	46	ñ	ñ	NOUN
ejpam-5994	69	47	1	1	NUM
ejpam-5994	69	48	b	b	PROPN
ejpam-5994	69	49	implies	imply	VERB
ejpam-5994	69	50	ζn	ζn	AUX
ejpam-5994	69	51	ýñ	ýñ	VERB
ejpam-5994	69	52	0	0	NUM
ejpam-5994	69	53	as	as	ADP
ejpam-5994	69	54	n	n	X
ejpam-5994	69	55	ñ	ñ	NOUN
ejpam-5994	69	56	`	`	PUNCT
ejpam-5994	69	57	8	8	NUM
ejpam-5994	69	58	,	,	PUNCT
ejpam-5994	69	59	for	for	ADP
ejpam-5994	69	60	a	a	DET
ejpam-5994	69	61	given	give	VERB
ejpam-5994	69	62	real	real	ADJ
ejpam-5994	69	63	numberb	numberb	NOUN
ejpam-5994	69	64	ą	ą	PROPN
ejpam-5994	69	65	1	1	NUM
ejpam-5994	69	66	.	.	PUNCT
ejpam-5994	70	1	(	(	PUNCT
ejpam-5994	70	2	3.1	3.1	NUM
ejpam-5994	70	3	)	)	PUNCT
ejpam-5994	70	4	our	our	PRON
ejpam-5994	70	5	main	main	ADJ
ejpam-5994	70	6	results	result	NOUN
ejpam-5994	70	7	make	make	VERB
ejpam-5994	70	8	use	use	NOUN
ejpam-5994	70	9	of	of	ADP
ejpam-5994	70	10	the	the	DET
ejpam-5994	70	11	following	follow	VERB
ejpam-5994	70	12	lemma	lemma	PROPN
ejpam-5994	70	13	.	.	PUNCT
ejpam-5994	71	1	lemma	lemma	PROPN
ejpam-5994	71	2	1	1	NUM
ejpam-5994	71	3	.	.	PUNCT
ejpam-5994	72	1	[	[	X
ejpam-5994	72	2	19	19	NUM
ejpam-5994	72	3	]	]	X
ejpam-5994	72	4	let	let	VERB
ejpam-5994	72	5	ps	ps	PROPN
ejpam-5994	72	6	,	,	PUNCT
ejpam-5994	72	7	w	w	PROPN
ejpam-5994	72	8	,	,	PUNCT
ejpam-5994	72	9	˚q	˚q	PROPN
ejpam-5994	72	10	be	be	AUX
ejpam-5994	72	11	a	a	DET
ejpam-5994	72	12	complete	complete	ADJ
ejpam-5994	72	13	fws̃	fws̃	NOUN
ejpam-5994	72	14	and	and	CCONJ
ejpam-5994	72	15	wpκ	wpκ	PROPN
ejpam-5994	72	16	,	,	PUNCT
ejpam-5994	72	17	ỹ	ỹ	PROPN
ejpam-5994	72	18	,	,	PUNCT
ejpam-5994	72	19	kζq	kζq	PROPN
ejpam-5994	72	20	ě	ě	PROPN
ejpam-5994	72	21	wpκ	wpκ	PROPN
ejpam-5994	72	22	,	,	PUNCT
ejpam-5994	72	23	ỹ	ỹ	PROPN
ejpam-5994	72	24	,	,	PUNCT
ejpam-5994	72	25	ζq	ζq	NOUN
ejpam-5994	72	26	for	for	ADP
ejpam-5994	72	27	all	all	DET
ejpam-5994	72	28	κ	κ	NOUN
ejpam-5994	72	29	,	,	PUNCT
ejpam-5994	72	30	ỹ	ỹ	PROPN
ejpam-5994	72	31	p	p	PROPN
ejpam-5994	72	32	s.	s.	PROPN
ejpam-5994	72	33	with	with	ADP
ejpam-5994	72	34	k	k	PROPN
ejpam-5994	72	35	p	p	PROPN
ejpam-5994	72	36	p0	p0	NOUN
ejpam-5994	72	37	,	,	PUNCT
ejpam-5994	72	38	1q	1q	NUM
ejpam-5994	72	39	and	and	CCONJ
ejpam-5994	72	40	ζ	ζ	NOUN
ejpam-5994	72	41	ą	ą	PROPN
ejpam-5994	72	42	0	0	NUM
ejpam-5994	72	43	,	,	PUNCT
ejpam-5994	72	44	then	then	ADV
ejpam-5994	72	45	κ	κ	X
ejpam-5994	72	46	“	"	PUNCT
ejpam-5994	72	47	ỹ.	ỹ.	PROPN
ejpam-5994	72	48	theorem	theorem	NOUN
ejpam-5994	72	49	1	1	NUM
ejpam-5994	72	50	.	.	PUNCT
ejpam-5994	73	1	let	let	VERB
ejpam-5994	73	2	ps	ps	PROPN
ejpam-5994	73	3	,	,	PUNCT
ejpam-5994	73	4	w	w	PROPN
ejpam-5994	73	5	,	,	PUNCT
ejpam-5994	73	6	˚	˚	PROPN
ejpam-5994	73	7	,	,	PUNCT
ejpam-5994	73	8	α	α	PROPN
ejpam-5994	73	9	,	,	PUNCT
ejpam-5994	73	10	µq	µq	PART
ejpam-5994	73	11	be	be	AUX
ejpam-5994	73	12	a	a	DET
ejpam-5994	73	13	g	g	NOUN
ejpam-5994	73	14	-	-	PUNCT
ejpam-5994	73	15	complete	complete	ADJ
ejpam-5994	73	16	µefbws̃	µefbws̃	NOUN
ejpam-5994	73	17	with	with	ADP
ejpam-5994	73	18	mappings	mapping	NOUN
ejpam-5994	73	19	α	α	NOUN
ejpam-5994	73	20	,	,	PUNCT
ejpam-5994	73	21	µ	µ	NOUN
ejpam-5994	73	22	:	:	PUNCT
ejpam-5994	73	23	sˆs	sˆs	NOUN
ejpam-5994	73	24	ñ	ñ	PROPN
ejpam-5994	74	1	r1,`8q	r1,`8q	AUX
ejpam-5994	74	2	.	.	PUNCT
ejpam-5994	75	1	let	let	VERB
ejpam-5994	75	2	g	g	PRON
ejpam-5994	75	3	be	be	AUX
ejpam-5994	75	4	a	a	DET
ejpam-5994	75	5	self	self	NOUN
ejpam-5994	75	6	mapping	mapping	NOUN
ejpam-5994	75	7	satisfying	satisfying	ADJ
ejpam-5994	75	8	wµpgκ1	wµpgκ1	NOUN
ejpam-5994	75	9	,	,	PUNCT
ejpam-5994	75	10	gκ2	gκ2	VERB
ejpam-5994	75	11	,	,	PUNCT
ejpam-5994	75	12	βpwµpκ1,κ2	βpwµpκ1,κ2	ADV
ejpam-5994	75	13	,	,	PUNCT
ejpam-5994	75	14	ζqqζq	ζqqζq	ADJ
ejpam-5994	75	15	ě	ě	DET
ejpam-5994	75	16	wµpκ1,κ2	wµpκ1,κ2	NOUN
ejpam-5994	75	17	,	,	PUNCT
ejpam-5994	75	18	ζq	ζq	NOUN
ejpam-5994	75	19	,	,	PUNCT
ejpam-5994	75	20	for	for	ADP
ejpam-5994	75	21	all	all	PRON
ejpam-5994	75	22	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	76	1	p	p	X
ejpam-5994	76	2	s	s	X
ejpam-5994	76	3	with	with	ADP
ejpam-5994	76	4	β	β	X
ejpam-5994	76	5	p	p	X
ejpam-5994	76	6	fb	fb	NOUN
ejpam-5994	76	7	and	and	CCONJ
ejpam-5994	76	8	max	max	PROPN
ejpam-5994	76	9	"	"	PUNCT
ejpam-5994	76	10	sup	sup	PROPN
ejpam-5994	76	11	pě1	pě1	PROPN
ejpam-5994	76	12	lim	lim	PROPN
ejpam-5994	76	13	mñ`8	mñ`8	PROPN
ejpam-5994	76	14	αpκm	αpκm	PROPN
ejpam-5994	76	15	,	,	PUNCT
ejpam-5994	76	16	κn`pq	κn`pq	NOUN
ejpam-5994	76	17	,	,	PUNCT
ejpam-5994	76	18	sup	sup	NOUN
ejpam-5994	76	19	pě1	pě1	PROPN
ejpam-5994	76	20	lim	lim	PROPN
ejpam-5994	76	21	mñ`8	mñ`8	PROPN
ejpam-5994	76	22	µpκm	µpκm	PROPN
ejpam-5994	76	23	,	,	PUNCT
ejpam-5994	76	24	κm`pq	κm`pq	NOUN
ejpam-5994	76	25	*	*	PUNCT
ejpam-5994	76	26	ă	ă	PROPN
ejpam-5994	76	27	b	b	PROPN
ejpam-5994	76	28	,	,	PUNCT
ejpam-5994	76	29	m	m	PROPN
ejpam-5994	76	30	,	,	PUNCT
ejpam-5994	76	31	p	p	X
ejpam-5994	76	32	p	p	X
ejpam-5994	76	33	n.	n.	NOUN
ejpam-5994	76	34	then	then	ADV
ejpam-5994	76	35	g	g	PROPN
ejpam-5994	76	36	has	have	VERB
ejpam-5994	76	37	a	a	DET
ejpam-5994	76	38	fixed	fix	VERB
ejpam-5994	76	39	point	point	NOUN
ejpam-5994	76	40	.	.	PUNCT
ejpam-5994	77	1	proof	proof	NOUN
ejpam-5994	77	2	.	.	PUNCT
ejpam-5994	78	1	set	set	VERB
ejpam-5994	78	2	κm`1	κm`1	PROPN
ejpam-5994	78	3	“	"	PUNCT
ejpam-5994	78	4	gκm	gκm	PROPN
ejpam-5994	78	5	,	,	PUNCT
ejpam-5994	78	6	where	where	SCONJ
ejpam-5994	78	7	m	m	VERB
ejpam-5994	78	8	“	"	PUNCT
ejpam-5994	78	9	0	0	NUM
ejpam-5994	78	10	,	,	PUNCT
ejpam-5994	78	11	1	1	NUM
ejpam-5994	78	12	,	,	PUNCT
ejpam-5994	78	13	2	2	NUM
ejpam-5994	78	14	,	,	PUNCT
ejpam-5994	78	15	¨	¨	NOUN
ejpam-5994	78	16	¨	¨	NOUN
ejpam-5994	78	17	¨	¨	NOUN
ejpam-5994	78	18	,	,	PUNCT
ejpam-5994	78	19	and	and	CCONJ
ejpam-5994	78	20	κ0	κ0	PRON
ejpam-5994	78	21	p	p	X
ejpam-5994	78	22	s	s	X
ejpam-5994	78	23	is	be	AUX
ejpam-5994	78	24	fixed	fix	VERB
ejpam-5994	78	25	.	.	PUNCT
ejpam-5994	79	1	wµpκm	wµpκm	NOUN
ejpam-5994	79	2	,	,	PUNCT
ejpam-5994	79	3	κm`1	κm`1	PROPN
ejpam-5994	79	4	,	,	PUNCT
ejpam-5994	79	5	ζq	ζq	NOUN
ejpam-5994	79	6	(	(	PUNCT
ejpam-5994	79	7	3.2	3.2	NUM
ejpam-5994	79	8	)	)	PUNCT
ejpam-5994	79	9	“	"	PUNCT
ejpam-5994	79	10	wµ	wµ	ADP
ejpam-5994	79	11	ˆ	ˆ	ADP
ejpam-5994	79	12	gκm´1	gκm´1	PROPN
ejpam-5994	79	13	,	,	PUNCT
ejpam-5994	79	14	gκm	gκm	PRON
ejpam-5994	79	15	,	,	PUNCT
ejpam-5994	79	16	ζ	ζ	NOUN
ejpam-5994	79	17	˙	˙	NOUN
ejpam-5994	79	18	ě	ě	DET
ejpam-5994	79	19	wµpκm´1,κm	wµpκm´1,κm	NOUN
ejpam-5994	79	20	,	,	PUNCT
ejpam-5994	79	21	ζ	ζ	NOUN
ejpam-5994	79	22	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	79	23	,	,	PUNCT
ejpam-5994	79	24	ζqq	ζqq	ADP
ejpam-5994	79	25	q	q	PROPN
ejpam-5994	79	26	k.	k.	PROPN
ejpam-5994	79	27	abodayeh	abodayeh	PROPN
ejpam-5994	79	28	et	et	PROPN
ejpam-5994	79	29	al	al	PROPN
ejpam-5994	79	30	.	.	PUNCT
ejpam-5994	79	31	/	/	SYM
ejpam-5994	79	32	eur	eur	PROPN
ejpam-5994	79	33	.	.	PUNCT
ejpam-5994	80	1	j.	j.	PROPN
ejpam-5994	80	2	pure	pure	PROPN
ejpam-5994	80	3	appl	appl	PROPN
ejpam-5994	80	4	.	.	PROPN
ejpam-5994	80	5	math	math	PROPN
ejpam-5994	80	6	,	,	PUNCT
ejpam-5994	80	7	18	18	NUM
ejpam-5994	80	8	(	(	PUNCT
ejpam-5994	80	9	2	2	NUM
ejpam-5994	80	10	)	)	PUNCT
ejpam-5994	80	11	(	(	PUNCT
ejpam-5994	80	12	2025	2025	NUM
ejpam-5994	80	13	)	)	PUNCT
ejpam-5994	80	14	,	,	PUNCT
ejpam-5994	80	15	5994	5994	NUM
ejpam-5994	80	16	5	5	NUM
ejpam-5994	80	17	of	of	ADP
ejpam-5994	80	18	22	22	NUM
ejpam-5994	80	19	ě	ě	NOUN
ejpam-5994	80	20	wµ	wµ	ADP
ejpam-5994	80	21	ˆ	ˆ	ADJ
ejpam-5994	80	22	κm´2,κm´1	κm´2,κm´1	NOUN
ejpam-5994	80	23	,	,	PUNCT
ejpam-5994	80	24	ζ	ζ	NOUN
ejpam-5994	80	25	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	80	26	,	,	PUNCT
ejpam-5994	80	27	ζqqβpwµpκm´2,κm´1	ζqqβpwµpκm´2,κm´1	NOUN
ejpam-5994	80	28	,	,	PUNCT
ejpam-5994	80	29	ζqq	ζqq	X
ejpam-5994	80	30	˙	˙	ADJ
ejpam-5994	80	31	ě	ě	X
ejpam-5994	80	32	wµ	wµ	PROPN
ejpam-5994	80	33	ˆ	ˆ	ADJ
ejpam-5994	80	34	κm´3,κm´2	κm´3,κm´2	NOUN
ejpam-5994	80	35	,	,	PUNCT
ejpam-5994	80	36	ζ	ζ	NOUN
ejpam-5994	80	37	ś3	ś3	PROPN
ejpam-5994	80	38	i“1	i“1	NOUN
ejpam-5994	80	39	βpwµpκm´i	βpwµpκm´i	NOUN
ejpam-5994	80	40	,	,	PUNCT
ejpam-5994	80	41	κm`1´i	κm`1´i	PROPN
ejpam-5994	80	42	,	,	PUNCT
ejpam-5994	80	43	ζqq	ζqq	X
ejpam-5994	80	44	˙	˙	NOUN
ejpam-5994	80	45	...	...	PUNCT
ejpam-5994	81	1	ě	ě	X
ejpam-5994	81	2	wµ	wµ	ADP
ejpam-5994	81	3	ˆ	ˆ	NOUN
ejpam-5994	81	4	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	81	5	,	,	PUNCT
ejpam-5994	81	6	ζ	ζ	NOUN
ejpam-5994	81	7	śm	śm	NOUN
ejpam-5994	81	8	i“1	i“1	NOUN
ejpam-5994	81	9	βpwµpκm´i	βpwµpκm´i	NOUN
ejpam-5994	81	10	,	,	PUNCT
ejpam-5994	81	11	κm`1´i	κm`1´i	PROPN
ejpam-5994	81	12	,	,	PUNCT
ejpam-5994	81	13	ζqq	ζqq	X
ejpam-5994	81	14	˙	˙	NOUN
ejpam-5994	81	15	.	.	PUNCT
ejpam-5994	82	1	implies	imply	VERB
ejpam-5994	82	2	wµpκm	wµpκm	NOUN
ejpam-5994	82	3	,	,	PUNCT
ejpam-5994	82	4	κm`1	κm`1	PROPN
ejpam-5994	82	5	,	,	PUNCT
ejpam-5994	82	6	ζq	ζq	VERB
ejpam-5994	82	7	ě	ě	NOUN
ejpam-5994	82	8	wµ	wµ	ADP
ejpam-5994	82	9	ˆ	ˆ	NOUN
ejpam-5994	82	10	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	82	11	,	,	PUNCT
ejpam-5994	82	12	ζ	ζ	NOUN
ejpam-5994	82	13	śm	śm	NOUN
ejpam-5994	82	14	i“1	i“1	NOUN
ejpam-5994	82	15	βpwµpκm´i	βpwµpκm´i	NOUN
ejpam-5994	82	16	,	,	PUNCT
ejpam-5994	82	17	κm`1´i	κm`1´i	PROPN
ejpam-5994	82	18	,	,	PUNCT
ejpam-5994	82	19	ζqq	ζqq	X
ejpam-5994	82	20	˙	˙	NOUN
ejpam-5994	82	21	.	.	PUNCT
ejpam-5994	83	1	(	(	PUNCT
ejpam-5994	83	2	3.3	3.3	NUM
ejpam-5994	83	3	)	)	PUNCT
ejpam-5994	83	4	for	for	ADP
ejpam-5994	83	5	any	any	DET
ejpam-5994	83	6	p	p	PROPN
ejpam-5994	83	7	p	p	NOUN
ejpam-5994	83	8	n	n	NOUN
ejpam-5994	83	9	,	,	PUNCT
ejpam-5994	83	10	writing	write	VERB
ejpam-5994	83	11	ζ	ζ	NOUN
ejpam-5994	83	12	“	"	PUNCT
ejpam-5994	83	13	pζ	pζ	NOUN
ejpam-5994	83	14	p	p	NOUN
ejpam-5994	83	15	“	"	PUNCT
ejpam-5994	83	16	ζ	ζ	PROPN
ejpam-5994	83	17	p	p	NOUN
ejpam-5994	83	18	`	`	PUNCT
ejpam-5994	83	19	ζ	ζ	PROPN
ejpam-5994	83	20	p	p	X
ejpam-5994	83	21	`	`	PUNCT
ejpam-5994	83	22	¨	¨	NOUN
ejpam-5994	83	23	¨	¨	NOUN
ejpam-5994	83	24	¨	¨	NOUN
ejpam-5994	83	25	`	`	PUNCT
ejpam-5994	83	26	ζ	ζ	NOUN
ejpam-5994	83	27	p	p	NOUN
ejpam-5994	83	28	,	,	PUNCT
ejpam-5994	83	29	and	and	CCONJ
ejpam-5994	83	30	applying	apply	VERB
ejpam-5994	83	31	pµ4q	pµ4q	PROPN
ejpam-5994	83	32	repeatedly	repeatedly	ADV
ejpam-5994	83	33	,	,	PUNCT
ejpam-5994	83	34	we	we	PRON
ejpam-5994	83	35	have	have	VERB
ejpam-5994	83	36	wµpκm	wµpκm	NOUN
ejpam-5994	83	37	,	,	PUNCT
ejpam-5994	83	38	κm`p	κm`p	PROPN
ejpam-5994	83	39	,	,	PUNCT
ejpam-5994	83	40	ζq	ζq	ADP
ejpam-5994	83	41	ě	ě	PROPN
ejpam-5994	83	42	wµ	wµ	ADP
ejpam-5994	83	43	ˆ	ˆ	PROPN
ejpam-5994	83	44	κm	κm	NOUN
ejpam-5994	83	45	,	,	PUNCT
ejpam-5994	83	46	κm`1	κm`1	PROPN
ejpam-5994	83	47	,	,	PUNCT
ejpam-5994	83	48	ζ	ζ	NOUN
ejpam-5994	83	49	pαpκm	pαpκm	NOUN
ejpam-5994	83	50	,	,	PUNCT
ejpam-5994	83	51	κm`pq	κm`pq	NOUN
ejpam-5994	83	52	˙	˙	X
ejpam-5994	83	53	˚	˚	PROPN
ejpam-5994	83	54	wµ	wµ	ADP
ejpam-5994	83	55	ˆ	ˆ	ADP
ejpam-5994	83	56	κm`1,κm`2	κm`1,κm`2	NOUN
ejpam-5994	83	57	,	,	PUNCT
ejpam-5994	83	58	ζ	ζ	NOUN
ejpam-5994	83	59	pµpκm	pµpκm	NOUN
ejpam-5994	83	60	,	,	PUNCT
ejpam-5994	83	61	κm`pqαpκm`1,κm`pq	κm`pqαpκm`1,κm`pq	PROPN
ejpam-5994	83	62	˙	˙	X
ejpam-5994	84	1	˚	˚	PROPN
ejpam-5994	84	2	¨	¨	NOUN
ejpam-5994	84	3	¨	¨	NOUN
ejpam-5994	84	4	¨	¨	NOUN
ejpam-5994	84	5	˚	˚	PROPN
ejpam-5994	84	6	wµ	wµ	CCONJ
ejpam-5994	84	7	ˆ	ˆ	PROPN
ejpam-5994	84	8	κm`pp´1q	κm`pp´1q	PROPN
ejpam-5994	84	9	,	,	PUNCT
ejpam-5994	84	10	κm`p	κm`p	PROPN
ejpam-5994	84	11	,	,	PUNCT
ejpam-5994	84	12	ζ	ζ	NOUN
ejpam-5994	84	13	pµpκm	pµpκm	NOUN
ejpam-5994	84	14	,	,	PUNCT
ejpam-5994	84	15	κm`pqµpκm`1,κm`pq	κm`pqµpκm`1,κm`pq	NOUN
ejpam-5994	84	16	¨	¨	NOUN
ejpam-5994	84	17	¨	¨	X
ejpam-5994	84	18	¨µpκm`pp´3q	¨µpκm`pp´3q	X
ejpam-5994	84	19	,	,	PUNCT
ejpam-5994	84	20	κm`pqαpκm`pp´2q	κm`pqαpκm`pp´2q	PROPN
ejpam-5994	84	21	,	,	PUNCT
ejpam-5994	84	22	κm`pq	κm`pq	NOUN
ejpam-5994	84	23	˙	˙	X
ejpam-5994	84	24	using	use	VERB
ejpam-5994	84	25	inequality	inequality	NOUN
ejpam-5994	84	26	(	(	PUNCT
ejpam-5994	84	27	3.2	3.2	NUM
ejpam-5994	84	28	)	)	PUNCT
ejpam-5994	84	29	,	,	PUNCT
ejpam-5994	84	30	we	we	PRON
ejpam-5994	84	31	get	get	VERB
ejpam-5994	84	32	wµpκm	wµpκm	NOUN
ejpam-5994	84	33	,	,	PUNCT
ejpam-5994	84	34	κm`p	κm`p	PROPN
ejpam-5994	84	35	,	,	PUNCT
ejpam-5994	84	36	ζq	ζq	ADP
ejpam-5994	84	37	ě	ě	NOUN
ejpam-5994	84	38	wµ	wµ	ADP
ejpam-5994	84	39	ˆ	ˆ	NOUN
ejpam-5994	84	40	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	84	41	,	,	PUNCT
ejpam-5994	84	42	ζ	ζ	NOUN
ejpam-5994	84	43	pαpκm	pαpκm	NOUN
ejpam-5994	84	44	,	,	PUNCT
ejpam-5994	84	45	κm`pq	κm`pq	NOUN
ejpam-5994	84	46	śm	śm	X
ejpam-5994	84	47	i“1	i“1	NOUN
ejpam-5994	84	48	βpwµpκm´i	βpwµpκm´i	NOUN
ejpam-5994	84	49	,	,	PUNCT
ejpam-5994	84	50	κm`1´i	κm`1´i	PROPN
ejpam-5994	84	51	,	,	PUNCT
ejpam-5994	84	52	ζqq	ζqq	X
ejpam-5994	84	53	˙	˙	X
ejpam-5994	84	54	˚	˚	PROPN
ejpam-5994	84	55	wµ	wµ	ADP
ejpam-5994	84	56	ˆ	ˆ	NOUN
ejpam-5994	84	57	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	84	58	,	,	PUNCT
ejpam-5994	84	59	ζ	ζ	NOUN
ejpam-5994	84	60	pµpκm	pµpκm	NOUN
ejpam-5994	84	61	,	,	PUNCT
ejpam-5994	84	62	κm`pqαpκm`1,κm`pq	κm`pqαpκm`1,κm`pq	NOUN
ejpam-5994	84	63	śm`1	śm`1	PROPN
ejpam-5994	84	64	i“1	i“1	NOUN
ejpam-5994	84	65	βpwµpκm´i	βpwµpκm´i	NOUN
ejpam-5994	84	66	,	,	PUNCT
ejpam-5994	84	67	κm`1´i	κm`1´i	PROPN
ejpam-5994	84	68	,	,	PUNCT
ejpam-5994	84	69	ζqq	ζqq	X
ejpam-5994	84	70	˙	˙	X
ejpam-5994	84	71	˚	˚	PROPN
ejpam-5994	84	72	wµ	wµ	ADP
ejpam-5994	84	73	ˆ	ˆ	NOUN
ejpam-5994	84	74	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	84	75	,	,	PUNCT
ejpam-5994	84	76	ζ	ζ	NOUN
ejpam-5994	84	77	pµpκm	pµpκm	NOUN
ejpam-5994	84	78	,	,	PUNCT
ejpam-5994	84	79	κm`pqµpκm`1,κm`pqαpκn`2,κm`pq	κm`pqµpκm`1,κm`pqαpκn`2,κm`pq	PROPN
ejpam-5994	84	80	śm`2	śm`2	NOUN
ejpam-5994	84	81	i“1	i“1	PROPN
ejpam-5994	84	82	βpwµpκm´i	βpwµpκm´i	PROPN
ejpam-5994	84	83	,	,	PUNCT
ejpam-5994	84	84	κm`1´i	κm`1´i	PROPN
ejpam-5994	84	85	,	,	PUNCT
ejpam-5994	84	86	ζqq	ζqq	X
ejpam-5994	84	87	˙	˙	NOUN
ejpam-5994	84	88	˚	˚	PROPN
ejpam-5994	84	89	¨	¨	NOUN
ejpam-5994	84	90	¨	¨	NOUN
ejpam-5994	84	91	¨	¨	NOUN
ejpam-5994	84	92	˚	˚	PROPN
ejpam-5994	84	93	wµ	wµ	CCONJ
ejpam-5994	84	94	ˆ	ˆ	NOUN
ejpam-5994	84	95	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	84	96	,	,	PUNCT
ejpam-5994	84	97	ζ	ζ	PROPN
ejpam-5994	84	98	p	p	NOUN
ejpam-5994	84	99	śp´2	śp´2	NOUN
ejpam-5994	84	100	i“1	i“1	ADJ
ejpam-5994	84	101	µpκn`i´1,κm`pqαpκn`pp´2q	µpκn`i´1,κm`pqαpκn`pp´2q	NOUN
ejpam-5994	84	102	,	,	PUNCT
ejpam-5994	84	103	κm`pq	κm`pq	NOUN
ejpam-5994	84	104	śm`pp´1q	śm`pp´1q	PROPN
ejpam-5994	84	105	i“1	i“1	NOUN
ejpam-5994	84	106	βpwµpκm´i	βpwµpκm´i	NOUN
ejpam-5994	84	107	,	,	PUNCT
ejpam-5994	84	108	κm`1´i	κm`1´i	PROPN
ejpam-5994	84	109	,	,	PUNCT
ejpam-5994	84	110	ζqq	ζqq	X
ejpam-5994	84	111	˙	˙	NOUN
ejpam-5994	84	112	.	.	PUNCT
ejpam-5994	85	1	the	the	DET
ejpam-5994	85	2	hypothesismax	hypothesismax	ADJ
ejpam-5994	85	3	"	"	PUNCT
ejpam-5994	85	4	sup	sup	NOUN
ejpam-5994	85	5	pě1	pě1	PROPN
ejpam-5994	85	6	lim	lim	PROPN
ejpam-5994	85	7	mñ`8	mñ`8	PROPN
ejpam-5994	85	8	αpκm	αpκm	PROPN
ejpam-5994	85	9	,	,	PUNCT
ejpam-5994	85	10	κm`pq	κm`pq	NOUN
ejpam-5994	85	11	,	,	PUNCT
ejpam-5994	85	12	sup	sup	NOUN
ejpam-5994	85	13	pě1	pě1	PROPN
ejpam-5994	85	14	lim	lim	PROPN
ejpam-5994	85	15	mñ`8	mñ`8	PROPN
ejpam-5994	85	16	µpκm	µpκm	PROPN
ejpam-5994	85	17	,	,	PUNCT
ejpam-5994	85	18	κm`pq	κm`pq	NOUN
ejpam-5994	85	19	*	*	PUNCT
ejpam-5994	86	1	ă	ă	PROPN
ejpam-5994	86	2	b	b	PROPN
ejpam-5994	86	3	,	,	PUNCT
ejpam-5994	86	4	along	along	ADP
ejpam-5994	86	5	with	with	ADP
ejpam-5994	86	6	p3.1q	p3.1q	PROPN
ejpam-5994	86	7	,	,	PUNCT
ejpam-5994	86	8	gives	give	VERB
ejpam-5994	86	9	lim	lim	PROPN
ejpam-5994	86	10	mñ`8	mñ`8	PROPN
ejpam-5994	86	11	wµpκm	wµpκm	NOUN
ejpam-5994	86	12	,	,	PUNCT
ejpam-5994	86	13	κm`p	κm`p	PROPN
ejpam-5994	86	14	,	,	PUNCT
ejpam-5994	86	15	ζq	ζq	ADP
ejpam-5994	86	16	ě	ě	NOUN
ejpam-5994	86	17	wµ	wµ	ADP
ejpam-5994	86	18	ˆ	ˆ	NOUN
ejpam-5994	86	19	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	86	20	,	,	PUNCT
ejpam-5994	86	21	ζbm´1	ζbm´1	X
ejpam-5994	86	22	p	p	NOUN
ejpam-5994	86	23	˙	˙	X
ejpam-5994	86	24	˚	˚	PROPN
ejpam-5994	86	25	wµ	wµ	ADP
ejpam-5994	86	26	ˆ	ˆ	NOUN
ejpam-5994	86	27	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	86	28	,	,	PUNCT
ejpam-5994	86	29	ζbm´1	ζbm´1	X
ejpam-5994	86	30	p	p	NOUN
ejpam-5994	86	31	˙	˙	X
ejpam-5994	86	32	˚	˚	PROPN
ejpam-5994	86	33	¨	¨	NOUN
ejpam-5994	86	34	¨	¨	NOUN
ejpam-5994	86	35	¨	¨	NOUN
ejpam-5994	86	36	˚	˚	PROPN
ejpam-5994	86	37	wµ	wµ	CCONJ
ejpam-5994	86	38	ˆ	ˆ	ADJ
ejpam-5994	86	39	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	86	40	,	,	PUNCT
ejpam-5994	86	41	ζbm´1	ζbm´1	X
ejpam-5994	86	42	p	p	NOUN
ejpam-5994	86	43	˙	˙	NOUN
ejpam-5994	86	44	.	.	PUNCT
ejpam-5994	87	1	therefore	therefore	ADV
ejpam-5994	87	2	lim	lim	PROPN
ejpam-5994	87	3	nñ`8	nñ`8	PROPN
ejpam-5994	87	4	wµpκm	wµpκm	PROPN
ejpam-5994	87	5	,	,	PUNCT
ejpam-5994	87	6	κm`p	κm`p	PROPN
ejpam-5994	87	7	,	,	PUNCT
ejpam-5994	87	8	ζq	ζq	ADP
ejpam-5994	87	9	“	"	PUNCT
ejpam-5994	87	10	1	1	NUM
ejpam-5994	87	11	˚	˚	PROPN
ejpam-5994	87	12	1	1	NUM
ejpam-5994	87	13	˚	˚	NOUN
ejpam-5994	87	14	...	...	PUNCT
ejpam-5994	88	1	˚	˚	PROPN
ejpam-5994	88	2	1	1	NUM
ejpam-5994	88	3	“	"	PUNCT
ejpam-5994	88	4	1	1	NUM
ejpam-5994	88	5	.	.	X
ejpam-5994	88	6	therefore	therefore	ADV
ejpam-5994	88	7	tκmu	tκmu	NOUN
ejpam-5994	88	8	is	be	AUX
ejpam-5994	88	9	cauchy	cauchy	NOUN
ejpam-5994	88	10	.	.	PUNCT
ejpam-5994	89	1	the	the	DET
ejpam-5994	89	2	completeness	completeness	NOUN
ejpam-5994	89	3	of	of	ADP
ejpam-5994	89	4	matric	matric	PROPN
ejpam-5994	89	5	space	space	PROPN
ejpam-5994	89	6	ps	ps	PROPN
ejpam-5994	89	7	,	,	PUNCT
ejpam-5994	89	8	wu	wu	PROPN
ejpam-5994	89	9	,	,	PUNCT
ejpam-5994	89	10	˚	˚	PROPN
ejpam-5994	89	11	,	,	PUNCT
ejpam-5994	89	12	α	α	X
ejpam-5994	89	13	,	,	PUNCT
ejpam-5994	89	14	µq	µq	PROPN
ejpam-5994	89	15	guarantees	guarantee	VERB
ejpam-5994	89	16	the	the	DET
ejpam-5994	89	17	existence	existence	NOUN
ejpam-5994	89	18	of	of	ADP
ejpam-5994	89	19	some	some	DET
ejpam-5994	89	20	z̃	z̃	PROPN
ejpam-5994	89	21	in	in	ADP
ejpam-5994	89	22	ps	ps	PROPN
ejpam-5994	89	23	,	,	PUNCT
ejpam-5994	89	24	wu	wu	PROPN
ejpam-5994	89	25	,	,	PUNCT
ejpam-5994	89	26	˚	˚	PROPN
ejpam-5994	89	27	,	,	PUNCT
ejpam-5994	89	28	α	α	PROPN
ejpam-5994	89	29	,	,	PUNCT
ejpam-5994	89	30	µq	µq	PROPN
ejpam-5994	89	31	,	,	PUNCT
ejpam-5994	89	32	such	such	ADJ
ejpam-5994	89	33	that	that	SCONJ
ejpam-5994	89	34	lim	lim	PROPN
ejpam-5994	89	35	mñ`8	mñ`8	PROPN
ejpam-5994	89	36	κm	κm	PROPN
ejpam-5994	89	37	“	"	PUNCT
ejpam-5994	89	38	z̃.	z̃.	AUX
ejpam-5994	89	39	thus	thus	ADV
ejpam-5994	89	40	we	we	PRON
ejpam-5994	89	41	have	have	AUX
ejpam-5994	89	42	wµpgz̃	wµpgz̃	PROPN
ejpam-5994	89	43	,	,	PUNCT
ejpam-5994	89	44	z̃	z̃	PROPN
ejpam-5994	89	45	,	,	PUNCT
ejpam-5994	89	46	ζq	ζq	ADP
ejpam-5994	89	47	ě	ě	NOUN
ejpam-5994	89	48	wµ	wµ	ADP
ejpam-5994	89	49	ˆ	ˆ	NOUN
ejpam-5994	89	50	gz̃	gz̃	NOUN
ejpam-5994	89	51	,	,	PUNCT
ejpam-5994	89	52	gκm	gκm	PRON
ejpam-5994	89	53	,	,	PUNCT
ejpam-5994	89	54	ζ	ζ	PROPN
ejpam-5994	89	55	2αpgz̃	2αpgz̃	NUM
ejpam-5994	89	56	,	,	PUNCT
ejpam-5994	89	57	z̃q	z̃q	PROPN
ejpam-5994	89	58	˙	˙	X
ejpam-5994	89	59	˚	˚	PROPN
ejpam-5994	89	60	wµ	wµ	ADP
ejpam-5994	89	61	ˆ	ˆ	ADJ
ejpam-5994	89	62	gκm	gκm	PRON
ejpam-5994	89	63	,	,	PUNCT
ejpam-5994	89	64	z̃	z̃	PROPN
ejpam-5994	89	65	,	,	PUNCT
ejpam-5994	89	66	ζ	ζ	NOUN
ejpam-5994	89	67	2µpgz̃	2µpgz̃	NUM
ejpam-5994	89	68	,	,	PUNCT
ejpam-5994	90	1	z̃q	z̃q	PROPN
ejpam-5994	90	2	˙	˙	PROPN
ejpam-5994	90	3	k.	k.	PROPN
ejpam-5994	91	1	abodayeh	abodayeh	PROPN
ejpam-5994	91	2	et	et	PROPN
ejpam-5994	91	3	al	al	PROPN
ejpam-5994	91	4	.	.	PUNCT
ejpam-5994	91	5	/	/	SYM
ejpam-5994	91	6	eur	eur	PROPN
ejpam-5994	91	7	.	.	PUNCT
ejpam-5994	92	1	j.	j.	PROPN
ejpam-5994	92	2	pure	pure	PROPN
ejpam-5994	92	3	appl	appl	PROPN
ejpam-5994	92	4	.	.	PROPN
ejpam-5994	92	5	math	math	PROPN
ejpam-5994	92	6	,	,	PUNCT
ejpam-5994	92	7	18	18	NUM
ejpam-5994	92	8	(	(	PUNCT
ejpam-5994	92	9	2	2	NUM
ejpam-5994	92	10	)	)	PUNCT
ejpam-5994	92	11	(	(	PUNCT
ejpam-5994	92	12	2025	2025	NUM
ejpam-5994	92	13	)	)	PUNCT
ejpam-5994	92	14	,	,	PUNCT
ejpam-5994	92	15	5994	5994	NUM
ejpam-5994	92	16	6	6	NUM
ejpam-5994	92	17	of	of	ADP
ejpam-5994	92	18	22	22	NUM
ejpam-5994	92	19	ě	ě	NOUN
ejpam-5994	92	20	lim	lim	PROPN
ejpam-5994	92	21	mñ`8	mñ`8	PROPN
ejpam-5994	92	22	wµ	wµ	ADP
ejpam-5994	92	23	ˆ	ˆ	ADP
ejpam-5994	92	24	z̃,κm	z̃,κm	NUM
ejpam-5994	92	25	,	,	PUNCT
ejpam-5994	92	26	ζ	ζ	PROPN
ejpam-5994	92	27	2αpgz̃	2αpgz̃	NUM
ejpam-5994	92	28	,	,	PUNCT
ejpam-5994	92	29	z̃qβpwµpz̃,κmqq	z̃qβpwµpz̃,κmqq	PROPN
ejpam-5994	92	30	˙	˙	X
ejpam-5994	93	1	˚	˚	PROPN
ejpam-5994	93	2	wµ	wµ	ADP
ejpam-5994	93	3	ˆ	ˆ	ADV
ejpam-5994	93	4	κm`1,κm	κm`1,κm	PROPN
ejpam-5994	93	5	,	,	PUNCT
ejpam-5994	93	6	ζ	ζ	PROPN
ejpam-5994	93	7	2µpgz̃	2µpgz̃	NUM
ejpam-5994	93	8	,	,	PUNCT
ejpam-5994	93	9	z̃q	z̃q	PROPN
ejpam-5994	93	10	˙	˙	NOUN
ejpam-5994	93	11	ýñ	ýñ	VERB
ejpam-5994	93	12	1	1	NUM
ejpam-5994	93	13	˚	˚	PROPN
ejpam-5994	93	14	1	1	NUM
ejpam-5994	93	15	“	"	PUNCT
ejpam-5994	93	16	1	1	NUM
ejpam-5994	93	17	.	.	PUNCT
ejpam-5994	93	18	hence	hence	ADV
ejpam-5994	93	19	gz̃	gz̃	X
ejpam-5994	94	1	“	"	PUNCT
ejpam-5994	94	2	z̃	z̃	PROPN
ejpam-5994	94	3	is	be	AUX
ejpam-5994	94	4	fixed	fix	VERB
ejpam-5994	94	5	point	point	NOUN
ejpam-5994	94	6	.	.	PUNCT
ejpam-5994	95	1	for	for	ADP
ejpam-5994	95	2	uniqueness	uniqueness	NOUN
ejpam-5994	95	3	assume	assume	VERB
ejpam-5994	95	4	that	that	SCONJ
ejpam-5994	95	5	gs̃	gs̃	VERB
ejpam-5994	95	6	“	"	PUNCT
ejpam-5994	95	7	s̃	s̃	PROPN
ejpam-5994	95	8	‰	‰	PROPN
ejpam-5994	95	9	z̃	z̃	PROPN
ejpam-5994	95	10	“	"	PUNCT
ejpam-5994	95	11	gz̃	gz̃	NOUN
ejpam-5994	95	12	,	,	PUNCT
ejpam-5994	95	13	for	for	ADP
ejpam-5994	95	14	some	some	DET
ejpam-5994	95	15	s̃ϵs	s̃ϵs	NOUN
ejpam-5994	95	16	,	,	PUNCT
ejpam-5994	95	17	then	then	ADV
ejpam-5994	95	18	wµps̃	wµps̃	X
ejpam-5994	95	19	,	,	PUNCT
ejpam-5994	95	20	z̃	z̃	PROPN
ejpam-5994	95	21	,	,	PUNCT
ejpam-5994	95	22	ζq	ζq	ADP
ejpam-5994	95	23	“	"	PUNCT
ejpam-5994	95	24	wµpgs̃	wµpgs̃	PROPN
ejpam-5994	95	25	,	,	PUNCT
ejpam-5994	95	26	gz̃	gz̃	NOUN
ejpam-5994	95	27	,	,	PUNCT
ejpam-5994	95	28	ζq	ζq	ADP
ejpam-5994	95	29	ě	ě	DET
ejpam-5994	95	30	wµps̃	wµps̃	NOUN
ejpam-5994	95	31	,	,	PUNCT
ejpam-5994	95	32	z̃	z̃	PROPN
ejpam-5994	95	33	,	,	PUNCT
ejpam-5994	95	34	ζ	ζ	PROPN
ejpam-5994	95	35	βpwµps̃	βpwµps̃	NOUN
ejpam-5994	95	36	,	,	PUNCT
ejpam-5994	95	37	z̃	z̃	PROPN
ejpam-5994	95	38	,	,	PUNCT
ejpam-5994	95	39	ζqq	ζqq	ADP
ejpam-5994	95	40	q	q	NOUN
ejpam-5994	95	41	“	"	PUNCT
ejpam-5994	95	42	wµpgs̃	wµpgs̃	PROPN
ejpam-5994	95	43	,	,	PUNCT
ejpam-5994	95	44	gz̃	gz̃	NOUN
ejpam-5994	95	45	,	,	PUNCT
ejpam-5994	95	46	ζ	ζ	PROPN
ejpam-5994	95	47	βpwµps̃	βpwµps̃	NOUN
ejpam-5994	95	48	,	,	PUNCT
ejpam-5994	95	49	z̃	z̃	PROPN
ejpam-5994	95	50	,	,	PUNCT
ejpam-5994	95	51	ζqq	ζqq	ADP
ejpam-5994	95	52	q	q	NOUN
ejpam-5994	95	53	ě	ě	PROPN
ejpam-5994	95	54	wµps̃	wµps̃	PROPN
ejpam-5994	95	55	,	,	PUNCT
ejpam-5994	95	56	z̃	z̃	PROPN
ejpam-5994	95	57	,	,	PUNCT
ejpam-5994	95	58	ζ	ζ	PROPN
ejpam-5994	95	59	βpwµps̃	βpwµps̃	PROPN
ejpam-5994	95	60	,	,	PUNCT
ejpam-5994	95	61	z̃	z̃	PROPN
ejpam-5994	95	62	,	,	PUNCT
ejpam-5994	95	63	ζqq2	ζqq2	PROPN
ejpam-5994	95	64	q	q	PROPN
ejpam-5994	95	65	...	...	PUNCT
ejpam-5994	95	66	ě	ě	X
ejpam-5994	95	67	wµps̃	wµps̃	NOUN
ejpam-5994	95	68	,	,	PUNCT
ejpam-5994	95	69	z̃	z̃	PROPN
ejpam-5994	95	70	,	,	PUNCT
ejpam-5994	95	71	ζ	ζ	PROPN
ejpam-5994	95	72	βpwµps̃	βpwµps̃	PROPN
ejpam-5994	95	73	,	,	PUNCT
ejpam-5994	95	74	z̃	z̃	PROPN
ejpam-5994	95	75	,	,	PUNCT
ejpam-5994	95	76	ζqqm	ζqqm	NOUN
ejpam-5994	95	77	q	q	X
ejpam-5994	95	78	“	"	PUNCT
ejpam-5994	95	79	wµps̃	wµps̃	PROPN
ejpam-5994	95	80	,	,	PUNCT
ejpam-5994	95	81	z̃	z̃	PROPN
ejpam-5994	95	82	,	,	PUNCT
ejpam-5994	95	83	bmζq	bmζq	NOUN
ejpam-5994	95	84	.	.	PUNCT
ejpam-5994	96	1	that	that	PRON
ejpam-5994	96	2	is	be	AUX
ejpam-5994	96	3	wµps̃	wµps̃	PROPN
ejpam-5994	96	4	,	,	PUNCT
ejpam-5994	96	5	z̃	z̃	PROPN
ejpam-5994	96	6	,	,	PUNCT
ejpam-5994	96	7	ζq	ζq	ADP
ejpam-5994	96	8	ñ	ñ	NOUN
ejpam-5994	96	9	1	1	NUM
ejpam-5994	96	10	as	as	ADP
ejpam-5994	96	11	m	m	PROPN
ejpam-5994	96	12	ñ	ñ	NOUN
ejpam-5994	96	13	`	`	PUNCT
ejpam-5994	96	14	8	8	NUM
ejpam-5994	96	15	.	.	PUNCT
ejpam-5994	97	1	thus	thus	ADV
ejpam-5994	97	2	s̃	s̃	PROPN
ejpam-5994	97	3	“	"	PUNCT
ejpam-5994	97	4	z̃	z̃	PROPN
ejpam-5994	97	5	and	and	CCONJ
ejpam-5994	97	6	hence	hence	ADV
ejpam-5994	97	7	fixed	fix	VERB
ejpam-5994	97	8	point	point	NOUN
ejpam-5994	97	9	is	be	AUX
ejpam-5994	97	10	unique	unique	ADJ
ejpam-5994	97	11	.	.	PUNCT
ejpam-5994	98	1	letting	let	VERB
ejpam-5994	98	2	βpwµpκ1,κ2	βpwµpκ1,κ2	ADV
ejpam-5994	98	3	,	,	PUNCT
ejpam-5994	98	4	ζqq	ζqq	ADP
ejpam-5994	98	5	“	"	PUNCT
ejpam-5994	98	6	k	k	NOUN
ejpam-5994	98	7	for	for	ADP
ejpam-5994	98	8	some	some	DET
ejpam-5994	98	9	k	k	PROPN
ejpam-5994	98	10	,	,	PUNCT
ejpam-5994	98	11	ϵr0	ϵr0	PROPN
ejpam-5994	98	12	,	,	PUNCT
ejpam-5994	98	13	1b	1b	PROPN
ejpam-5994	98	14	q.	q.	VERB
ejpam-5994	98	15	the	the	DET
ejpam-5994	98	16	following	follow	VERB
ejpam-5994	98	17	theorem	theorem	PROPN
ejpam-5994	98	18	’s	’s	PART
ejpam-5994	98	19	corollary	corollary	NOUN
ejpam-5994	98	20	,	,	PUNCT
ejpam-5994	98	21	which	which	PRON
ejpam-5994	98	22	generalizes	generalize	VERB
ejpam-5994	98	23	the	the	DET
ejpam-5994	98	24	widely	widely	ADV
ejpam-5994	98	25	known	know	VERB
ejpam-5994	98	26	banach	banach	NOUN
ejpam-5994	98	27	contraction	contraction	NOUN
ejpam-5994	98	28	theorem	theorem	VERB
ejpam-5994	98	29	in	in	ADP
ejpam-5994	98	30	the	the	DET
ejpam-5994	98	31	context	context	NOUN
ejpam-5994	98	32	of	of	ADP
ejpam-5994	98	33	µefbws̃	µefbws̃	NOUN
ejpam-5994	98	34	,	,	PUNCT
ejpam-5994	98	35	is	be	AUX
ejpam-5994	98	36	obtained	obtain	VERB
ejpam-5994	98	37	.	.	PUNCT
ejpam-5994	99	1	corollary	corollary	ADJ
ejpam-5994	99	2	1	1	NUM
ejpam-5994	99	3	.	.	PUNCT
ejpam-5994	100	1	let	let	VERB
ejpam-5994	100	2	ps	ps	PROPN
ejpam-5994	100	3	,	,	PUNCT
ejpam-5994	100	4	wu	wu	PROPN
ejpam-5994	100	5	,	,	PUNCT
ejpam-5994	100	6	˚	˚	PROPN
ejpam-5994	100	7	,	,	PUNCT
ejpam-5994	100	8	α	α	PROPN
ejpam-5994	100	9	,	,	PUNCT
ejpam-5994	100	10	µq	µq	PART
ejpam-5994	100	11	be	be	AUX
ejpam-5994	100	12	a	a	DET
ejpam-5994	100	13	g	g	NOUN
ejpam-5994	100	14	-	-	PUNCT
ejpam-5994	100	15	complete	complete	ADJ
ejpam-5994	100	16	µefbws̃	µefbws̃	NOUN
ejpam-5994	100	17	with	with	ADP
ejpam-5994	100	18	mappings	mapping	NOUN
ejpam-5994	100	19	α	α	NOUN
ejpam-5994	100	20	,	,	PUNCT
ejpam-5994	100	21	µ	µ	NOUN
ejpam-5994	100	22	:	:	PUNCT
ejpam-5994	100	23	sˆs	sˆs	NOUN
ejpam-5994	100	24	ñ	ñ	PROPN
ejpam-5994	101	1	r1,`8q	r1,`8q	AUX
ejpam-5994	101	2	.	.	PUNCT
ejpam-5994	102	1	let	let	VERB
ejpam-5994	102	2	g	g	PRON
ejpam-5994	102	3	be	be	AUX
ejpam-5994	102	4	a	a	DET
ejpam-5994	102	5	self	self	NOUN
ejpam-5994	102	6	mapping	mapping	NOUN
ejpam-5994	102	7	satisfying	satisfying	ADJ
ejpam-5994	102	8	wµpgκ1	wµpgκ1	NOUN
ejpam-5994	102	9	,	,	PUNCT
ejpam-5994	102	10	gκ2	gκ2	VERB
ejpam-5994	102	11	,	,	PUNCT
ejpam-5994	102	12	kζq	kζq	X
ejpam-5994	102	13	ě	ě	ADJ
ejpam-5994	102	14	wµpκ1,κ2	wµpκ1,κ2	NOUN
ejpam-5994	102	15	,	,	PUNCT
ejpam-5994	102	16	ζq	ζq	NOUN
ejpam-5994	102	17	,	,	PUNCT
ejpam-5994	102	18	for	for	ADP
ejpam-5994	102	19	all	all	DET
ejpam-5994	102	20	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	102	21	p	p	NOUN
ejpam-5994	102	22	swhere	swhere	NOUN
ejpam-5994	103	1	β	β	X
ejpam-5994	103	2	p	p	NOUN
ejpam-5994	103	3	fb	fb	INTJ
ejpam-5994	103	4	.	.	PUNCT
ejpam-5994	104	1	then	then	ADV
ejpam-5994	104	2	g	g	PROPN
ejpam-5994	104	3	has	have	VERB
ejpam-5994	104	4	a	a	DET
ejpam-5994	104	5	fixed	fix	VERB
ejpam-5994	104	6	point	point	NOUN
ejpam-5994	104	7	.	.	PUNCT
ejpam-5994	105	1	an	an	DET
ejpam-5994	105	2	example	example	NOUN
ejpam-5994	105	3	will	will	AUX
ejpam-5994	105	4	be	be	AUX
ejpam-5994	105	5	provided	provide	VERB
ejpam-5994	105	6	for	for	ADP
ejpam-5994	105	7	the	the	DET
ejpam-5994	105	8	aforementioned	aforementione	VERB
ejpam-5994	105	9	theorem	theorem	NOUN
ejpam-5994	105	10	in	in	ADP
ejpam-5994	105	11	order	order	NOUN
ejpam-5994	105	12	to	to	PART
ejpam-5994	105	13	validate	validate	VERB
ejpam-5994	105	14	it	it	PRON
ejpam-5994	105	15	example	example	NOUN
ejpam-5994	106	1	3	3	X
ejpam-5994	106	2	.	.	PUNCT
ejpam-5994	107	1	let	let	AUX
ejpam-5994	107	2	s	s	PRON
ejpam-5994	107	3	“	"	PUNCT
ejpam-5994	107	4	r0	r0	NOUN
ejpam-5994	107	5	,	,	PUNCT
ejpam-5994	107	6	1s	1s	NUM
ejpam-5994	107	7	,	,	PUNCT
ejpam-5994	107	8	let	let	VERB
ejpam-5994	107	9	wµ	wµ	INTJ
ejpam-5994	107	10	:	:	PUNCT
ejpam-5994	107	11	sˆsˆr1,`8q	sˆsˆr1,`8q	PROPN
ejpam-5994	107	12	ñ	ñ	NOUN
ejpam-5994	107	13	r0	r0	NOUN
ejpam-5994	107	14	,	,	PUNCT
ejpam-5994	107	15	1s	1s	NUM
ejpam-5994	107	16	,	,	PUNCT
ejpam-5994	107	17	defined	define	VERB
ejpam-5994	107	18	by	by	ADP
ejpam-5994	107	19	wµpκ1,κ2	wµpκ1,κ2	NOUN
ejpam-5994	107	20	,	,	PUNCT
ejpam-5994	107	21	ζq	ζq	ADP
ejpam-5994	107	22	“	"	PUNCT
ejpam-5994	107	23	e	e	X
ejpam-5994	107	24	´	´	NOUN
ejpam-5994	107	25	|κ1´κ2|	|κ1´κ2|	NOUN
ejpam-5994	107	26	ζ	ζ	NOUN
ejpam-5994	107	27	.	.	PUNCT
ejpam-5994	108	1	ps	ps	PROPN
ejpam-5994	108	2	,	,	PUNCT
ejpam-5994	108	3	wu	wu	PROPN
ejpam-5994	108	4	,	,	PUNCT
ejpam-5994	108	5	˚	˚	PROPN
ejpam-5994	108	6	,	,	PUNCT
ejpam-5994	108	7	α	α	PROPN
ejpam-5994	108	8	,	,	PUNCT
ejpam-5994	108	9	µq	µq	PROPN
ejpam-5994	108	10	is	be	AUX
ejpam-5994	108	11	µefbws̃	µefbws̃	NOUN
ejpam-5994	108	12	with	with	ADP
ejpam-5994	108	13	b=2	b=2	NOUN
ejpam-5994	108	14	.	.	PUNCT
ejpam-5994	109	1	consider	consider	VERB
ejpam-5994	109	2	the	the	DET
ejpam-5994	109	3	mapping	mapping	NOUN
ejpam-5994	109	4	g	g	NOUN
ejpam-5994	109	5	:	:	PUNCT
ejpam-5994	109	6	s	s	VERB
ejpam-5994	109	7	ñ	ñ	NOUN
ejpam-5994	109	8	s	s	VERB
ejpam-5994	109	9	defined	define	VERB
ejpam-5994	109	10	by	by	ADP
ejpam-5994	109	11	gpκq	gpκq	NOUN
ejpam-5994	109	12	“	"	PUNCT
ejpam-5994	109	13	1	1	NUM
ejpam-5994	109	14	´	´	NOUN
ejpam-5994	109	15	1	1	NUM
ejpam-5994	109	16	6κ	6κ	NOUN
ejpam-5994	109	17	,	,	PUNCT
ejpam-5994	109	18	and	and	CCONJ
ejpam-5994	109	19	β	β	X
ejpam-5994	109	20	:	:	PUNCT
ejpam-5994	109	21	r0	r0	NOUN
ejpam-5994	109	22	,	,	PUNCT
ejpam-5994	109	23	1s	1s	NUM
ejpam-5994	109	24	ñ	ñ	NOUN
ejpam-5994	109	25	r0	r0	NOUN
ejpam-5994	109	26	,	,	PUNCT
ejpam-5994	109	27	12q	12q	NOUN
ejpam-5994	109	28	as	as	ADP
ejpam-5994	109	29	βpζq	βpζq	ADJ
ejpam-5994	109	30	“	"	PUNCT
ejpam-5994	109	31	1	1	NUM
ejpam-5994	109	32	4	4	NUM
ejpam-5994	109	33	.	.	PUNCT
ejpam-5994	110	1	obviously	obviously	ADV
ejpam-5994	110	2	β	β	X
ejpam-5994	110	3	p	p	X
ejpam-5994	110	4	f2	f2	PROPN
ejpam-5994	110	5	.	.	PUNCT
ejpam-5994	111	1	for	for	ADP
ejpam-5994	111	2	all	all	DET
ejpam-5994	111	3	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	111	4	p	p	X
ejpam-5994	111	5	s	s	PROPN
ejpam-5994	111	6	,	,	PUNCT
ejpam-5994	111	7	ζ	ζ	PROPN
ejpam-5994	111	8	ą	ą	PROPN
ejpam-5994	111	9	0	0	NUM
ejpam-5994	111	10	,	,	PUNCT
ejpam-5994	111	11	we	we	PRON
ejpam-5994	111	12	have	have	VERB
ejpam-5994	111	13	wµpgκ1	wµpgκ1	NOUN
ejpam-5994	111	14	,	,	PUNCT
ejpam-5994	111	15	gκ2	gκ2	VERB
ejpam-5994	111	16	,	,	PUNCT
ejpam-5994	111	17	βpwµpκ1,κ2	βpwµpκ1,κ2	ADV
ejpam-5994	111	18	,	,	PUNCT
ejpam-5994	111	19	ζqqζq	ζqqζq	ADJ
ejpam-5994	111	20	“	"	PUNCT
ejpam-5994	111	21	e	e	X
ejpam-5994	111	22	´	´	NOUN
ejpam-5994	111	23	|gκ1´gκ2|	|gκ1´gκ2|	PRON
ejpam-5994	111	24	βpwµpκ1,κ2,ζqζq	βpwµpκ1,κ2,ζqζq	NOUN
ejpam-5994	111	25	“	"	PUNCT
ejpam-5994	111	26	e	e	X
ejpam-5994	111	27	´	´	NOUN
ejpam-5994	111	28	|1	|1	X
ejpam-5994	111	29	´	´	NOUN
ejpam-5994	111	30	1	1	NUM
ejpam-5994	111	31	6κ1´p1	6κ1´p1	NUM
ejpam-5994	111	32	´	´	NOUN
ejpam-5994	111	33	1	1	NUM
ejpam-5994	111	34	6κ2q|	6κ2q|	NUM
ejpam-5994	111	35	1	1	NUM
ejpam-5994	111	36	4	4	NUM
ejpam-5994	111	37	ζ	ζ	NOUN
ejpam-5994	111	38	“	"	PUNCT
ejpam-5994	111	39	e	e	X
ejpam-5994	111	40	´	´	NOUN
ejpam-5994	111	41	|	|	ADV
ejpam-5994	111	42	´	´	NOUN
ejpam-5994	111	43	1	1	NUM
ejpam-5994	111	44	6κ1	6κ1	NUM
ejpam-5994	111	45	`	`	PUNCT
ejpam-5994	111	46	1	1	NUM
ejpam-5994	111	47	6κ2|	6κ2|	NUM
ejpam-5994	111	48	1	1	NUM
ejpam-5994	111	49	4	4	NUM
ejpam-5994	111	50	ζ	ζ	NOUN
ejpam-5994	111	51	k.	k.	NOUN
ejpam-5994	111	52	abodayeh	abodayeh	PROPN
ejpam-5994	111	53	et	et	PROPN
ejpam-5994	111	54	al	al	PROPN
ejpam-5994	111	55	.	.	PUNCT
ejpam-5994	111	56	/	/	SYM
ejpam-5994	111	57	eur	eur	PROPN
ejpam-5994	111	58	.	.	PUNCT
ejpam-5994	112	1	j.	j.	PROPN
ejpam-5994	112	2	pure	pure	PROPN
ejpam-5994	112	3	appl	appl	PROPN
ejpam-5994	112	4	.	.	PROPN
ejpam-5994	112	5	math	math	PROPN
ejpam-5994	112	6	,	,	PUNCT
ejpam-5994	112	7	18	18	NUM
ejpam-5994	112	8	(	(	PUNCT
ejpam-5994	112	9	2	2	NUM
ejpam-5994	112	10	)	)	PUNCT
ejpam-5994	112	11	(	(	PUNCT
ejpam-5994	112	12	2025	2025	NUM
ejpam-5994	112	13	)	)	PUNCT
ejpam-5994	112	14	,	,	PUNCT
ejpam-5994	112	15	5994	5994	NUM
ejpam-5994	112	16	7	7	NUM
ejpam-5994	112	17	of	of	ADP
ejpam-5994	112	18	22	22	NUM
ejpam-5994	112	19	“	"	PUNCT
ejpam-5994	112	20	e	e	X
ejpam-5994	112	21	´	´	NOUN
ejpam-5994	112	22	1	1	NUM
ejpam-5994	112	23	6	6	NUM
ejpam-5994	112	24	|κ1´κ2|	|κ1´κ2|	NUM
ejpam-5994	112	25	1	1	NUM
ejpam-5994	112	26	4	4	NUM
ejpam-5994	112	27	ζ	ζ	NOUN
ejpam-5994	112	28	“	"	PUNCT
ejpam-5994	112	29	e	e	X
ejpam-5994	112	30	´	´	NOUN
ejpam-5994	112	31	2	2	NUM
ejpam-5994	112	32	3	3	NUM
ejpam-5994	112	33	|κ1´κ2|	|κ1´κ2|	NOUN
ejpam-5994	112	34	ζ	ζ	NOUN
ejpam-5994	112	35	ě	ě	PRON
ejpam-5994	112	36	e	e	NOUN
ejpam-5994	112	37	´	´	NOUN
ejpam-5994	112	38	|κ1´κ2|	|κ1´κ2|	NOUN
ejpam-5994	112	39	ζ	ζ	NOUN
ejpam-5994	112	40	.	.	PUNCT
ejpam-5994	113	1	this	this	PRON
ejpam-5994	113	2	implies	imply	VERB
ejpam-5994	113	3	that	that	DET
ejpam-5994	113	4	wµpgκ1	wµpgκ1	NOUN
ejpam-5994	113	5	,	,	PUNCT
ejpam-5994	113	6	gκ2	gκ2	VERB
ejpam-5994	113	7	,	,	PUNCT
ejpam-5994	113	8	βpwµpκ1,κ2	βpwµpκ1,κ2	ADV
ejpam-5994	113	9	,	,	PUNCT
ejpam-5994	113	10	ζqqζq	ζqqζq	ADJ
ejpam-5994	113	11	ě	ě	DET
ejpam-5994	113	12	wµpκ1,κ2	wµpκ1,κ2	NOUN
ejpam-5994	113	13	,	,	PUNCT
ejpam-5994	113	14	ζq	ζq	NOUN
ejpam-5994	113	15	.	.	NOUN
ejpam-5994	113	16	and	and	CCONJ
ejpam-5994	113	17	gp67q	gp67q	ADJ
ejpam-5994	113	18	“	"	PUNCT
ejpam-5994	113	19	6	6	NUM
ejpam-5994	113	20	7	7	NUM
ejpam-5994	113	21	.	.	PUNCT
ejpam-5994	114	1	consequently	consequently	ADV
ejpam-5994	114	2	,	,	PUNCT
ejpam-5994	114	3	6	6	NUM
ejpam-5994	114	4	7	7	NUM
ejpam-5994	114	5	is	be	AUX
ejpam-5994	114	6	an	an	DET
ejpam-5994	114	7	unique	unique	ADJ
ejpam-5994	114	8	fixed	fix	VERB
ejpam-5994	114	9	point	point	NOUN
ejpam-5994	114	10	of	of	ADP
ejpam-5994	114	11	g.	g.	PROPN
ejpam-5994	114	12	since	since	SCONJ
ejpam-5994	114	13	theorem	theorem	VERB
ejpam-5994	114	14	1	1	NUM
ejpam-5994	114	15	criteria	criterion	NOUN
ejpam-5994	114	16	are	be	AUX
ejpam-5994	114	17	all	all	PRON
ejpam-5994	114	18	fulfilled	fulfil	VERB
ejpam-5994	114	19	.	.	PUNCT
ejpam-5994	115	1	theorem	theorem	NOUN
ejpam-5994	115	2	2	2	NUM
ejpam-5994	115	3	.	.	X
ejpam-5994	115	4	consider	consider	VERB
ejpam-5994	115	5	a	a	DET
ejpam-5994	115	6	g	g	NOUN
ejpam-5994	115	7	-	-	PUNCT
ejpam-5994	115	8	complete	complete	ADJ
ejpam-5994	115	9	µefbws̃	µefbws̃	NOUN
ejpam-5994	115	10	,	,	PUNCT
ejpam-5994	115	11	ps	ps	PROPN
ejpam-5994	115	12	,	,	PUNCT
ejpam-5994	115	13	wu	wu	PROPN
ejpam-5994	115	14	,	,	PUNCT
ejpam-5994	115	15	˚	˚	PROPN
ejpam-5994	115	16	,	,	PUNCT
ejpam-5994	115	17	α	α	PROPN
ejpam-5994	115	18	,	,	PUNCT
ejpam-5994	115	19	µq	µq	VERB
ejpam-5994	115	20	with	with	ADP
ejpam-5994	115	21	mappings	mapping	NOUN
ejpam-5994	115	22	α	α	NUM
ejpam-5994	115	23	,	,	PUNCT
ejpam-5994	115	24	µ	µ	NOUN
ejpam-5994	115	25	:	:	PUNCT
ejpam-5994	115	26	sˆ	sˆ	PROPN
ejpam-5994	115	27	s	s	PROPN
ejpam-5994	115	28	ñ	ñ	NOUN
ejpam-5994	115	29	r1,`8q	r1,`8q	ADJ
ejpam-5994	115	30	.	.	PUNCT
ejpam-5994	116	1	let	let	VERB
ejpam-5994	116	2	g	g	PRON
ejpam-5994	116	3	be	be	AUX
ejpam-5994	116	4	a	a	DET
ejpam-5994	116	5	self	self	NOUN
ejpam-5994	116	6	mapping	mapping	NOUN
ejpam-5994	116	7	on	on	ADP
ejpam-5994	116	8	s	s	PRON
ejpam-5994	116	9	such	such	ADJ
ejpam-5994	116	10	that	that	DET
ejpam-5994	116	11	wµpgκ1	wµpgκ1	NOUN
ejpam-5994	116	12	,	,	PUNCT
ejpam-5994	116	13	gκ2	gκ2	VERB
ejpam-5994	116	14	,	,	PUNCT
ejpam-5994	116	15	βpwµpκ1,κ2	βpwµpκ1,κ2	ADV
ejpam-5994	116	16	,	,	PUNCT
ejpam-5994	116	17	ζqqζq	ζqqζq	PRON
ejpam-5994	116	18	ě	ě	PROPN
ejpam-5994	116	19	min	min	NOUN
ejpam-5994	116	20	"	"	PUNCT
ejpam-5994	116	21	wµpκ1,κ2	wµpκ1,κ2	NOUN
ejpam-5994	116	22	,	,	PUNCT
ejpam-5994	116	23	ζq	ζq	NOUN
ejpam-5994	116	24	,	,	PUNCT
ejpam-5994	116	25	wµpκ1	wµpκ1	PROPN
ejpam-5994	116	26	,	,	PUNCT
ejpam-5994	116	27	gκ1	gκ1	NOUN
ejpam-5994	116	28	,	,	PUNCT
ejpam-5994	116	29	ζq	ζq	NOUN
ejpam-5994	116	30	,	,	PUNCT
ejpam-5994	116	31	wµpκ2	wµpκ2	NOUN
ejpam-5994	116	32	,	,	PUNCT
ejpam-5994	116	33	gκ2	gκ2	VERB
ejpam-5994	116	34	,	,	PUNCT
ejpam-5994	116	35	ζq	ζq	NOUN
ejpam-5994	116	36	,	,	PUNCT
ejpam-5994	116	37	wµpκ1	wµpκ1	PROPN
ejpam-5994	116	38	,	,	PUNCT
ejpam-5994	116	39	gκ2	gκ2	NOUN
ejpam-5994	116	40	,	,	PUNCT
ejpam-5994	116	41	pαpκ1,κ2q	pαpκ1,κ2q	NUM
ejpam-5994	117	1	`	`	PUNCT
ejpam-5994	117	2	µpκ1,κ2qqζq	µpκ1,κ2qqζq	PROPN
ejpam-5994	117	3	˚	˚	PROPN
ejpam-5994	117	4	wµpκ2	wµpκ2	PROPN
ejpam-5994	117	5	,	,	PUNCT
ejpam-5994	117	6	gκ1	gκ1	NOUN
ejpam-5994	117	7	,	,	PUNCT
ejpam-5994	117	8	pαpκ1,κ2q	pαpκ1,κ2q	NOUN
ejpam-5994	117	9	`	`	PUNCT
ejpam-5994	117	10	µpκ1	µpκ1	PROPN
ejpam-5994	117	11	,	,	PUNCT
ejpam-5994	117	12	x2qqζq	x2qqζq	PROPN
ejpam-5994	117	13	*	*	PUNCT
ejpam-5994	117	14	,	,	PUNCT
ejpam-5994	117	15	for	for	ADP
ejpam-5994	117	16	all	all	DET
ejpam-5994	117	17	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	118	1	p	p	PROPN
ejpam-5994	118	2	s.	s.	PROPN
ejpam-5994	118	3	then	then	ADV
ejpam-5994	118	4	there	there	PRON
ejpam-5994	118	5	is	be	VERB
ejpam-5994	118	6	unique	unique	ADJ
ejpam-5994	118	7	fixed	fix	VERB
ejpam-5994	118	8	point	point	NOUN
ejpam-5994	118	9	of	of	ADP
ejpam-5994	118	10	g	g	PROPN
ejpam-5994	118	11	in	in	ADP
ejpam-5994	118	12	s.	s.	PROPN
ejpam-5994	118	13	here	here	ADV
ejpam-5994	118	14	˚	˚	PROPN
ejpam-5994	118	15	“	"	PUNCT
ejpam-5994	118	16	˚m	˚m	PROPN
ejpam-5994	118	17	.	.	PROPN
ejpam-5994	118	18	proof	proof	NOUN
ejpam-5994	118	19	.	.	PUNCT
ejpam-5994	119	1	beginning	begin	VERB
ejpam-5994	119	2	in	in	ADP
ejpam-5994	119	3	the	the	DET
ejpam-5994	119	4	same	same	ADJ
ejpam-5994	119	5	manner	manner	NOUN
ejpam-5994	119	6	as	as	ADP
ejpam-5994	119	7	in	in	ADP
ejpam-5994	119	8	theorem	theorem	NOUN
ejpam-5994	119	9	1	1	NUM
ejpam-5994	119	10	,	,	PUNCT
ejpam-5994	119	11	we	we	PRON
ejpam-5994	119	12	have	have	VERB
ejpam-5994	119	13	wµpκm	wµpκm	NOUN
ejpam-5994	119	14	,	,	PUNCT
ejpam-5994	119	15	κm`1	κm`1	PROPN
ejpam-5994	119	16	,	,	PUNCT
ejpam-5994	119	17	ζq	ζq	ADP
ejpam-5994	119	18	“	"	PUNCT
ejpam-5994	119	19	wµpgκm´1	wµpgκm´1	NOUN
ejpam-5994	119	20	,	,	PUNCT
ejpam-5994	119	21	gκm	gκm	PRON
ejpam-5994	119	22	,	,	PUNCT
ejpam-5994	119	23	ζq	ζq	ADP
ejpam-5994	119	24	ě	ě	PRON
ejpam-5994	119	25	min	min	NOUN
ejpam-5994	119	26	"	"	PUNCT
ejpam-5994	119	27	wµ	wµ	ADV
ejpam-5994	119	28	ˆ	ˆ	ADV
ejpam-5994	119	29	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	119	30	,	,	PUNCT
ejpam-5994	119	31	ζ	ζ	NOUN
ejpam-5994	119	32	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	119	33	,	,	PUNCT
ejpam-5994	119	34	ζqq	ζqq	X
ejpam-5994	119	35	˙	˙	NOUN
ejpam-5994	119	36	,	,	PUNCT
ejpam-5994	119	37	wµ	wµ	ADP
ejpam-5994	119	38	ˆ	ˆ	X
ejpam-5994	119	39	κm´1	κm´1	PROPN
ejpam-5994	119	40	,	,	PUNCT
ejpam-5994	119	41	gκm´1	gκm´1	PROPN
ejpam-5994	119	42	,	,	PUNCT
ejpam-5994	119	43	ζ	ζ	NOUN
ejpam-5994	119	44	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	119	45	,	,	PUNCT
ejpam-5994	119	46	ζqq	ζqq	X
ejpam-5994	119	47	˙	˙	NOUN
ejpam-5994	119	48	,	,	PUNCT
ejpam-5994	119	49	wµ	wµ	ADV
ejpam-5994	119	50	ˆ	ˆ	ADV
ejpam-5994	119	51	κm	κm	PROPN
ejpam-5994	119	52	,	,	PUNCT
ejpam-5994	119	53	gκm	gκm	PRON
ejpam-5994	119	54	,	,	PUNCT
ejpam-5994	119	55	ζ	ζ	NOUN
ejpam-5994	119	56	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	119	57	,	,	PUNCT
ejpam-5994	119	58	ζqq	ζqq	X
ejpam-5994	119	59	˙	˙	NOUN
ejpam-5994	119	60	,	,	PUNCT
ejpam-5994	119	61	wµ	wµ	ADP
ejpam-5994	119	62	ˆ	ˆ	X
ejpam-5994	119	63	κm´1	κm´1	PROPN
ejpam-5994	119	64	,	,	PUNCT
ejpam-5994	119	65	gκm	gκm	PROPN
ejpam-5994	119	66	,	,	PUNCT
ejpam-5994	119	67	pαpκm´1,κmq	pαpκm´1,κmq	NOUN
ejpam-5994	119	68	`	`	PUNCT
ejpam-5994	119	69	µpκm´1,κmqqζ	µpκm´1,κmqqζ	X
ejpam-5994	119	70	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	119	71	,	,	PUNCT
ejpam-5994	119	72	ζqq	ζqq	X
ejpam-5994	119	73	˙	˙	X
ejpam-5994	119	74	˚	˚	PROPN
ejpam-5994	119	75	wµ	wµ	ADP
ejpam-5994	119	76	ˆ	ˆ	ADV
ejpam-5994	119	77	κm	κm	NOUN
ejpam-5994	119	78	,	,	PUNCT
ejpam-5994	119	79	gκm´1	gκm´1	PROPN
ejpam-5994	119	80	,	,	PUNCT
ejpam-5994	119	81	pαpκm´1,κmq	pαpκm´1,κmq	NOUN
ejpam-5994	119	82	`	`	PUNCT
ejpam-5994	119	83	µpκm´1,κmqqζq	µpκm´1,κmqqζq	PROPN
ejpam-5994	119	84	βpwµpam´1	βpwµpam´1	PROPN
ejpam-5994	119	85	,	,	PUNCT
ejpam-5994	119	86	am	be	AUX
ejpam-5994	119	87	,	,	PUNCT
ejpam-5994	119	88	ζqq	ζqq	X
ejpam-5994	119	89	˙	˙	NOUN
ejpam-5994	119	90	*	*	VERB
ejpam-5994	119	91	ě	ě	X
ejpam-5994	119	92	min	min	NOUN
ejpam-5994	119	93	"	"	PUNCT
ejpam-5994	119	94	wµ	wµ	ADV
ejpam-5994	119	95	ˆ	ˆ	ADV
ejpam-5994	119	96	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	119	97	,	,	PUNCT
ejpam-5994	119	98	ζ	ζ	NOUN
ejpam-5994	119	99	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	119	100	,	,	PUNCT
ejpam-5994	119	101	ζqq	ζqq	X
ejpam-5994	119	102	˙	˙	NOUN
ejpam-5994	119	103	,	,	PUNCT
ejpam-5994	119	104	wµ	wµ	ADP
ejpam-5994	119	105	ˆ	ˆ	ADV
ejpam-5994	120	1	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	120	2	,	,	PUNCT
ejpam-5994	120	3	ζ	ζ	NOUN
ejpam-5994	120	4	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	120	5	,	,	PUNCT
ejpam-5994	120	6	ζqq	ζqq	X
ejpam-5994	120	7	˙	˙	NOUN
ejpam-5994	120	8	,	,	PUNCT
ejpam-5994	120	9	wµ	wµ	ADV
ejpam-5994	120	10	ˆ	ˆ	NOUN
ejpam-5994	120	11	κm	κm	NOUN
ejpam-5994	120	12	,	,	PUNCT
ejpam-5994	120	13	κm`1	κm`1	PROPN
ejpam-5994	120	14	,	,	PUNCT
ejpam-5994	120	15	ζ	ζ	NOUN
ejpam-5994	120	16	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	120	17	,	,	PUNCT
ejpam-5994	120	18	ζqq	ζqq	X
ejpam-5994	120	19	˙	˙	NOUN
ejpam-5994	120	20	,	,	PUNCT
ejpam-5994	120	21	wµ	wµ	ADP
ejpam-5994	120	22	ˆ	ˆ	ADP
ejpam-5994	120	23	κm´1,κm`1	κm´1,κm`1	NUM
ejpam-5994	120	24	,	,	PUNCT
ejpam-5994	120	25	pαpκm´1,κmq	pαpκm´1,κmq	NOUN
ejpam-5994	120	26	`	`	PUNCT
ejpam-5994	120	27	µpκm´1,κmqqζ	µpκm´1,κmqqζ	X
ejpam-5994	120	28	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	120	29	,	,	PUNCT
ejpam-5994	120	30	ζqq	ζqq	X
ejpam-5994	120	31	˙	˙	X
ejpam-5994	120	32	˚	˚	PROPN
ejpam-5994	120	33	wµ	wµ	ADP
ejpam-5994	120	34	ˆ	ˆ	PROPN
ejpam-5994	120	35	κm	κm	PROPN
ejpam-5994	120	36	,	,	PUNCT
ejpam-5994	120	37	κm	κm	PROPN
ejpam-5994	120	38	,	,	PUNCT
ejpam-5994	120	39	pαpκm´1,κmq	pαpκm´1,κmq	NOUN
ejpam-5994	120	40	`	`	PUNCT
ejpam-5994	120	41	µpκm´1,κmqqζq	µpκm´1,κmqqζq	NOUN
ejpam-5994	120	42	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	120	43	,	,	PUNCT
ejpam-5994	120	44	ζqq	ζqq	X
ejpam-5994	120	45	˙	˙	NOUN
ejpam-5994	120	46	*	*	VERB
ejpam-5994	120	47	ě	ě	X
ejpam-5994	120	48	min	min	NOUN
ejpam-5994	120	49	"	"	PUNCT
ejpam-5994	120	50	wµ	wµ	ADV
ejpam-5994	120	51	ˆ	ˆ	ADV
ejpam-5994	120	52	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	120	53	,	,	PUNCT
ejpam-5994	120	54	ζ	ζ	NOUN
ejpam-5994	120	55	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	120	56	,	,	PUNCT
ejpam-5994	120	57	ζqq	ζqq	X
ejpam-5994	120	58	˙	˙	NOUN
ejpam-5994	120	59	,	,	PUNCT
ejpam-5994	120	60	wµ	wµ	ADP
ejpam-5994	120	61	ˆ	ˆ	ADV
ejpam-5994	120	62	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	120	63	,	,	PUNCT
ejpam-5994	120	64	ζ	ζ	NOUN
ejpam-5994	120	65	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	120	66	,	,	PUNCT
ejpam-5994	120	67	ζqq	ζqq	X
ejpam-5994	120	68	˙	˙	NOUN
ejpam-5994	120	69	,	,	PUNCT
ejpam-5994	120	70	k.	k.	PROPN
ejpam-5994	121	1	abodayeh	abodayeh	PROPN
ejpam-5994	121	2	et	et	PROPN
ejpam-5994	121	3	al	al	PROPN
ejpam-5994	121	4	.	.	PUNCT
ejpam-5994	121	5	/	/	SYM
ejpam-5994	121	6	eur	eur	PROPN
ejpam-5994	121	7	.	.	PUNCT
ejpam-5994	122	1	j.	j.	PROPN
ejpam-5994	122	2	pure	pure	PROPN
ejpam-5994	122	3	appl	appl	PROPN
ejpam-5994	122	4	.	.	PROPN
ejpam-5994	122	5	math	math	PROPN
ejpam-5994	122	6	,	,	PUNCT
ejpam-5994	122	7	18	18	NUM
ejpam-5994	122	8	(	(	PUNCT
ejpam-5994	122	9	2	2	NUM
ejpam-5994	122	10	)	)	PUNCT
ejpam-5994	122	11	(	(	PUNCT
ejpam-5994	122	12	2025	2025	NUM
ejpam-5994	122	13	)	)	PUNCT
ejpam-5994	122	14	,	,	PUNCT
ejpam-5994	122	15	5994	5994	NUM
ejpam-5994	122	16	8	8	NUM
ejpam-5994	122	17	of	of	ADP
ejpam-5994	122	18	22	22	NUM
ejpam-5994	123	1	wµ	wµ	NOUN
ejpam-5994	123	2	ˆ	ˆ	PROPN
ejpam-5994	123	3	κm	κm	NOUN
ejpam-5994	123	4	,	,	PUNCT
ejpam-5994	123	5	κm`1	κm`1	PROPN
ejpam-5994	123	6	,	,	PUNCT
ejpam-5994	123	7	ζ	ζ	NOUN
ejpam-5994	123	8	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	123	9	,	,	PUNCT
ejpam-5994	123	10	ζqq	ζqq	X
ejpam-5994	123	11	˙	˙	NOUN
ejpam-5994	123	12	,	,	PUNCT
ejpam-5994	123	13	wµ	wµ	ADP
ejpam-5994	123	14	ˆ	ˆ	ADP
ejpam-5994	123	15	κm´1,κm`1	κm´1,κm`1	NUM
ejpam-5994	123	16	,	,	PUNCT
ejpam-5994	123	17	pαpκm´1,κmq	pαpκm´1,κmq	NOUN
ejpam-5994	123	18	`	`	PUNCT
ejpam-5994	123	19	µpκm´1,κmqq	µpκm´1,κmqq	X
ejpam-5994	123	20	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	123	21	,	,	PUNCT
ejpam-5994	123	22	ζqq	ζqq	X
ejpam-5994	123	23	˙	˙	X
ejpam-5994	124	1	˚	˚	PROPN
ejpam-5994	124	2	1	1	NUM
ejpam-5994	124	3	*	*	PUNCT
ejpam-5994	124	4	ě	ě	DET
ejpam-5994	124	5	min	min	NOUN
ejpam-5994	124	6	"	"	PUNCT
ejpam-5994	124	7	wµ	wµ	ADV
ejpam-5994	124	8	ˆ	ˆ	ADV
ejpam-5994	124	9	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	124	10	,	,	PUNCT
ejpam-5994	124	11	ζ	ζ	NOUN
ejpam-5994	124	12	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	124	13	,	,	PUNCT
ejpam-5994	124	14	ζqq	ζqq	X
ejpam-5994	124	15	˙	˙	NOUN
ejpam-5994	124	16	,	,	PUNCT
ejpam-5994	124	17	wµ	wµ	ADV
ejpam-5994	124	18	ˆ	ˆ	NOUN
ejpam-5994	124	19	κm	κm	NOUN
ejpam-5994	124	20	,	,	PUNCT
ejpam-5994	124	21	κm`1	κm`1	PROPN
ejpam-5994	124	22	,	,	PUNCT
ejpam-5994	124	23	ζ	ζ	NOUN
ejpam-5994	124	24	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	124	25	,	,	PUNCT
ejpam-5994	124	26	ζqq	ζqq	X
ejpam-5994	124	27	˙	˙	NOUN
ejpam-5994	124	28	,	,	PUNCT
ejpam-5994	124	29	wµ	wµ	ADP
ejpam-5994	124	30	ˆ	ˆ	ADP
ejpam-5994	124	31	κm´1,κm`1	κm´1,κm`1	NUM
ejpam-5994	124	32	,	,	PUNCT
ejpam-5994	124	33	pαpκm´1,κmq	pαpκm´1,κmq	NOUN
ejpam-5994	124	34	`	`	PUNCT
ejpam-5994	124	35	µpκm´1,κmqqζ	µpκm´1,κmqqζ	X
ejpam-5994	124	36	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	124	37	,	,	PUNCT
ejpam-5994	124	38	ζqq	ζqq	X
ejpam-5994	124	39	˙	˙	NOUN
ejpam-5994	124	40	*	*	VERB
ejpam-5994	124	41	ě	ě	X
ejpam-5994	124	42	min	min	NOUN
ejpam-5994	124	43	"	"	PUNCT
ejpam-5994	124	44	wµ	wµ	ADV
ejpam-5994	124	45	ˆ	ˆ	ADV
ejpam-5994	124	46	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	124	47	,	,	PUNCT
ejpam-5994	124	48	ζ	ζ	NOUN
ejpam-5994	124	49	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	124	50	,	,	PUNCT
ejpam-5994	124	51	ζqq	ζqq	X
ejpam-5994	124	52	˙	˙	NOUN
ejpam-5994	124	53	,	,	PUNCT
ejpam-5994	124	54	wµ	wµ	ADV
ejpam-5994	124	55	ˆ	ˆ	NOUN
ejpam-5994	124	56	κm	κm	NOUN
ejpam-5994	124	57	,	,	PUNCT
ejpam-5994	124	58	κm`1	κm`1	PROPN
ejpam-5994	124	59	,	,	PUNCT
ejpam-5994	124	60	ζ	ζ	NOUN
ejpam-5994	124	61	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	124	62	,	,	PUNCT
ejpam-5994	124	63	ζqq	ζqq	X
ejpam-5994	124	64	˙	˙	NOUN
ejpam-5994	124	65	,	,	PUNCT
ejpam-5994	124	66	wµ	wµ	ADV
ejpam-5994	124	67	ˆ	ˆ	ADV
ejpam-5994	124	68	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	124	69	,	,	PUNCT
ejpam-5994	124	70	ζ	ζ	NOUN
ejpam-5994	124	71	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	124	72	,	,	PUNCT
ejpam-5994	124	73	ζqq	ζqq	X
ejpam-5994	124	74	˙	˙	X
ejpam-5994	124	75	˚	˚	PROPN
ejpam-5994	124	76	wµ	wµ	ADP
ejpam-5994	124	77	ˆ	ˆ	ADV
ejpam-5994	124	78	κm	κm	NOUN
ejpam-5994	124	79	,	,	PUNCT
ejpam-5994	124	80	κm`1	κm`1	PROPN
ejpam-5994	124	81	,	,	PUNCT
ejpam-5994	124	82	ζ	ζ	NOUN
ejpam-5994	124	83	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	124	84	,	,	PUNCT
ejpam-5994	124	85	ζqq	ζqq	X
ejpam-5994	124	86	˙	˙	NOUN
ejpam-5994	124	87	*	*	X
ejpam-5994	124	88	.	.	PUNCT
ejpam-5994	125	1	(	(	PUNCT
ejpam-5994	125	2	3.4	3.4	NUM
ejpam-5994	125	3	)	)	PUNCT
ejpam-5994	125	4	if	if	SCONJ
ejpam-5994	125	5	min	min	NOUN
ejpam-5994	125	6	"	"	PUNCT
ejpam-5994	125	7	wµ	wµ	ADP
ejpam-5994	125	8	ˆ	ˆ	ADV
ejpam-5994	125	9	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	125	10	,	,	PUNCT
ejpam-5994	125	11	ζ	ζ	NOUN
ejpam-5994	125	12	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	125	13	,	,	PUNCT
ejpam-5994	125	14	ζqq	ζqq	X
ejpam-5994	125	15	˙	˙	NOUN
ejpam-5994	125	16	,	,	PUNCT
ejpam-5994	125	17	wµ	wµ	ADV
ejpam-5994	125	18	ˆ	ˆ	NOUN
ejpam-5994	125	19	κm	κm	NOUN
ejpam-5994	125	20	,	,	PUNCT
ejpam-5994	125	21	κm`1	κm`1	PROPN
ejpam-5994	125	22	,	,	PUNCT
ejpam-5994	125	23	ζ	ζ	NOUN
ejpam-5994	125	24	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	125	25	,	,	PUNCT
ejpam-5994	125	26	ζqq	ζqq	X
ejpam-5994	125	27	˙	˙	NOUN
ejpam-5994	125	28	*	*	PUNCT
ejpam-5994	125	29	“	"	PUNCT
ejpam-5994	125	30	wµ	wµ	ADP
ejpam-5994	125	31	ˆ	ˆ	PROPN
ejpam-5994	125	32	κm	κm	NOUN
ejpam-5994	125	33	,	,	PUNCT
ejpam-5994	125	34	κm`1	κm`1	PROPN
ejpam-5994	125	35	,	,	PUNCT
ejpam-5994	125	36	ζ	ζ	NOUN
ejpam-5994	125	37	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	125	38	,	,	PUNCT
ejpam-5994	125	39	ζqq	ζqq	X
ejpam-5994	125	40	˙	˙	NOUN
ejpam-5994	125	41	,	,	PUNCT
ejpam-5994	125	42	then	then	ADV
ejpam-5994	125	43	inequality	inequality	NOUN
ejpam-5994	125	44	(	(	PUNCT
ejpam-5994	125	45	3.4	3.4	NUM
ejpam-5994	125	46	)	)	PUNCT
ejpam-5994	125	47	implies	imply	VERB
ejpam-5994	125	48	that	that	SCONJ
ejpam-5994	125	49	wµ	wµ	ADP
ejpam-5994	125	50	ˆ	ˆ	ADV
ejpam-5994	125	51	κm	κm	NOUN
ejpam-5994	125	52	,	,	PUNCT
ejpam-5994	125	53	κm`1	κm`1	PROPN
ejpam-5994	125	54	,	,	PUNCT
ejpam-5994	125	55	ζ	ζ	NOUN
ejpam-5994	125	56	˙	˙	NOUN
ejpam-5994	125	57	ě	ě	X
ejpam-5994	125	58	wµ	wµ	NOUN
ejpam-5994	125	59	ˆ	ˆ	PROPN
ejpam-5994	125	60	κm	κm	NOUN
ejpam-5994	125	61	,	,	PUNCT
ejpam-5994	125	62	κm`1	κm`1	PROPN
ejpam-5994	125	63	,	,	PUNCT
ejpam-5994	125	64	ζ	ζ	NOUN
ejpam-5994	125	65	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	125	66	,	,	PUNCT
ejpam-5994	125	67	ζqq	ζqq	X
ejpam-5994	125	68	˙	˙	NOUN
ejpam-5994	125	69	,	,	PUNCT
ejpam-5994	125	70	the	the	DET
ejpam-5994	125	71	remaining	remain	VERB
ejpam-5994	125	72	part	part	NOUN
ejpam-5994	125	73	of	of	ADP
ejpam-5994	125	74	the	the	DET
ejpam-5994	125	75	proof	proof	NOUN
ejpam-5994	125	76	is	be	AUX
ejpam-5994	125	77	the	the	DET
ejpam-5994	125	78	consequence	consequence	NOUN
ejpam-5994	125	79	of	of	ADP
ejpam-5994	125	80	the	the	DET
ejpam-5994	125	81	lemma	lemma	PROPN
ejpam-5994	125	82	1	1	NUM
ejpam-5994	125	83	.	.	PUNCT
ejpam-5994	126	1	if	if	SCONJ
ejpam-5994	126	2	min	min	NOUN
ejpam-5994	126	3	"	"	PUNCT
ejpam-5994	126	4	wµ	wµ	ADP
ejpam-5994	126	5	ˆ	ˆ	ADV
ejpam-5994	126	6	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	126	7	,	,	PUNCT
ejpam-5994	126	8	ζ	ζ	NOUN
ejpam-5994	126	9	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	126	10	,	,	PUNCT
ejpam-5994	126	11	ζqq	ζqq	X
ejpam-5994	126	12	˙	˙	NOUN
ejpam-5994	126	13	,	,	PUNCT
ejpam-5994	126	14	wµ	wµ	ADV
ejpam-5994	126	15	ˆ	ˆ	NOUN
ejpam-5994	126	16	κm	κm	NOUN
ejpam-5994	126	17	,	,	PUNCT
ejpam-5994	126	18	κm`1	κm`1	PROPN
ejpam-5994	126	19	,	,	PUNCT
ejpam-5994	126	20	ζ	ζ	NOUN
ejpam-5994	126	21	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	126	22	,	,	PUNCT
ejpam-5994	126	23	ζqq	ζqq	X
ejpam-5994	126	24	˙	˙	NOUN
ejpam-5994	126	25	*	*	PUNCT
ejpam-5994	126	26	“	"	PUNCT
ejpam-5994	126	27	wµ	wµ	ADP
ejpam-5994	126	28	ˆ	ˆ	ADV
ejpam-5994	126	29	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	126	30	,	,	PUNCT
ejpam-5994	126	31	ζ	ζ	NOUN
ejpam-5994	126	32	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	126	33	,	,	PUNCT
ejpam-5994	126	34	ζqq	ζqq	X
ejpam-5994	126	35	˙	˙	NOUN
ejpam-5994	126	36	then	then	ADV
ejpam-5994	126	37	from	from	ADP
ejpam-5994	126	38	(	(	PUNCT
ejpam-5994	126	39	3.4	3.4	NUM
ejpam-5994	126	40	)	)	PUNCT
ejpam-5994	126	41	we	we	PRON
ejpam-5994	126	42	have	have	VERB
ejpam-5994	126	43	wµ	wµ	ADP
ejpam-5994	126	44	ˆ	ˆ	ADJ
ejpam-5994	126	45	κm	κm	NOUN
ejpam-5994	126	46	,	,	PUNCT
ejpam-5994	126	47	κm`1	κm`1	PROPN
ejpam-5994	126	48	,	,	PUNCT
ejpam-5994	126	49	ζ	ζ	NOUN
ejpam-5994	126	50	˙	˙	NOUN
ejpam-5994	126	51	ě	ě	X
ejpam-5994	126	52	wµ	wµ	ADP
ejpam-5994	126	53	ˆ	ˆ	ADV
ejpam-5994	126	54	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	126	55	,	,	PUNCT
ejpam-5994	126	56	ζ	ζ	NOUN
ejpam-5994	126	57	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	126	58	,	,	PUNCT
ejpam-5994	126	59	ζqq	ζqq	X
ejpam-5994	126	60	˙	˙	NOUN
ejpam-5994	126	61	,	,	PUNCT
ejpam-5994	126	62	continuing	continue	VERB
ejpam-5994	126	63	in	in	ADP
ejpam-5994	126	64	this	this	DET
ejpam-5994	126	65	way	way	NOUN
ejpam-5994	126	66	,	,	PUNCT
ejpam-5994	126	67	we	we	PRON
ejpam-5994	126	68	get	get	VERB
ejpam-5994	126	69	wµ	wµ	ADP
ejpam-5994	126	70	ˆ	ˆ	NOUN
ejpam-5994	126	71	κm	κm	NOUN
ejpam-5994	126	72	,	,	PUNCT
ejpam-5994	126	73	κm`1	κm`1	PROPN
ejpam-5994	126	74	,	,	PUNCT
ejpam-5994	126	75	ζ	ζ	NOUN
ejpam-5994	126	76	˙	˙	NOUN
ejpam-5994	126	77	ě	ě	X
ejpam-5994	126	78	ˆ	ˆ	NOUN
ejpam-5994	126	79	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	126	80	,	,	PUNCT
ejpam-5994	126	81	ζ	ζ	NOUN
ejpam-5994	126	82	śm	śm	NOUN
ejpam-5994	126	83	i“1	i“1	NOUN
ejpam-5994	126	84	βpwµpκm´i	βpwµpκm´i	NOUN
ejpam-5994	126	85	,	,	PUNCT
ejpam-5994	126	86	κm`1´i	κm`1´i	PROPN
ejpam-5994	126	87	,	,	PUNCT
ejpam-5994	126	88	ζqq	ζqq	X
ejpam-5994	126	89	˙	˙	NOUN
ejpam-5994	126	90	.	.	PUNCT
ejpam-5994	127	1	the	the	DET
ejpam-5994	127	2	same	same	ADJ
ejpam-5994	127	3	method	method	NOUN
ejpam-5994	127	4	employed	employ	VERB
ejpam-5994	127	5	after	after	ADP
ejpam-5994	127	6	inequality	inequality	NOUN
ejpam-5994	127	7	(	(	PUNCT
ejpam-5994	127	8	3.2	3.2	NUM
ejpam-5994	127	9	)	)	PUNCT
ejpam-5994	127	10	in	in	ADP
ejpam-5994	127	11	theorem	theorem	NOUN
ejpam-5994	127	12	1	1	NUM
ejpam-5994	127	13	can	can	AUX
ejpam-5994	127	14	be	be	AUX
ejpam-5994	127	15	used	use	VERB
ejpam-5994	127	16	to	to	PART
ejpam-5994	127	17	finish	finish	VERB
ejpam-5994	127	18	the	the	DET
ejpam-5994	127	19	proof	proof	NOUN
ejpam-5994	127	20	of	of	ADP
ejpam-5994	127	21	this	this	DET
ejpam-5994	127	22	result	result	NOUN
ejpam-5994	127	23	.	.	PUNCT
ejpam-5994	128	1	letting	let	VERB
ejpam-5994	128	2	min	min	NOUN
ejpam-5994	128	3	"	"	PUNCT
ejpam-5994	128	4	wµpκ1,κ2	wµpκ1,κ2	NOUN
ejpam-5994	128	5	,	,	PUNCT
ejpam-5994	128	6	ζq	ζq	NOUN
ejpam-5994	128	7	,	,	PUNCT
ejpam-5994	128	8	wµpκ1	wµpκ1	PROPN
ejpam-5994	128	9	,	,	PUNCT
ejpam-5994	128	10	gκ1	gκ1	NOUN
ejpam-5994	128	11	,	,	PUNCT
ejpam-5994	128	12	ζq	ζq	NOUN
ejpam-5994	128	13	,	,	PUNCT
ejpam-5994	128	14	wµpκ2	wµpκ2	NOUN
ejpam-5994	128	15	,	,	PUNCT
ejpam-5994	128	16	gκ2	gκ2	VERB
ejpam-5994	128	17	,	,	PUNCT
ejpam-5994	128	18	ζq	ζq	NOUN
ejpam-5994	128	19	,	,	PUNCT
ejpam-5994	128	20	k.	k.	PROPN
ejpam-5994	128	21	abodayeh	abodayeh	PROPN
ejpam-5994	128	22	et	et	PROPN
ejpam-5994	128	23	al	al	PROPN
ejpam-5994	128	24	.	.	PUNCT
ejpam-5994	128	25	/	/	SYM
ejpam-5994	128	26	eur	eur	PROPN
ejpam-5994	128	27	.	.	PUNCT
ejpam-5994	129	1	j.	j.	PROPN
ejpam-5994	129	2	pure	pure	PROPN
ejpam-5994	129	3	appl	appl	PROPN
ejpam-5994	129	4	.	.	PROPN
ejpam-5994	129	5	math	math	PROPN
ejpam-5994	129	6	,	,	PUNCT
ejpam-5994	129	7	18	18	NUM
ejpam-5994	129	8	(	(	PUNCT
ejpam-5994	129	9	2	2	NUM
ejpam-5994	129	10	)	)	PUNCT
ejpam-5994	129	11	(	(	PUNCT
ejpam-5994	129	12	2025	2025	NUM
ejpam-5994	129	13	)	)	PUNCT
ejpam-5994	129	14	,	,	PUNCT
ejpam-5994	129	15	5994	5994	NUM
ejpam-5994	129	16	9	9	NUM
ejpam-5994	129	17	of	of	ADP
ejpam-5994	129	18	22	22	NUM
ejpam-5994	129	19	ˆ	ˆ	NOUN
ejpam-5994	129	20	wµpκ1	wµpκ1	NOUN
ejpam-5994	129	21	,	,	PUNCT
ejpam-5994	129	22	gκ2	gκ2	NOUN
ejpam-5994	129	23	,	,	PUNCT
ejpam-5994	129	24	pαpκ1,κ2q	pαpκ1,κ2q	NUM
ejpam-5994	130	1	`	`	PUNCT
ejpam-5994	130	2	µpκ1,κ2qqζq	µpκ1,κ2qqζq	PROPN
ejpam-5994	130	3	˚	˚	PROPN
ejpam-5994	130	4	wµpκ2	wµpκ2	PROPN
ejpam-5994	130	5	,	,	PUNCT
ejpam-5994	130	6	gκ1	gκ1	NOUN
ejpam-5994	130	7	,	,	PUNCT
ejpam-5994	130	8	pαpκ1,κ2q	pαpκ1,κ2q	PUNCT
ejpam-5994	130	9	`	`	PUNCT
ejpam-5994	130	10	µpκ1,κ2qqζq	µpκ1,κ2qqζq	PROPN
ejpam-5994	130	11	˙	˙	X
ejpam-5994	130	12	*	*	PUNCT
ejpam-5994	130	13	“	"	PUNCT
ejpam-5994	130	14	wµpκ1,κ2	wµpκ1,κ2	NOUN
ejpam-5994	130	15	,	,	PUNCT
ejpam-5994	130	16	ζq	ζq	NOUN
ejpam-5994	130	17	.	.	PUNCT
ejpam-5994	131	1	we	we	PRON
ejpam-5994	131	2	have	have	AUX
ejpam-5994	131	3	deduced	deduce	VERB
ejpam-5994	131	4	the	the	DET
ejpam-5994	131	5	following	follow	VERB
ejpam-5994	131	6	corollary	corollary	NOUN
ejpam-5994	131	7	from	from	ADP
ejpam-5994	131	8	theorem	theorem	NOUN
ejpam-5994	131	9	2	2	NUM
ejpam-5994	131	10	,	,	PUNCT
ejpam-5994	131	11	which	which	PRON
ejpam-5994	131	12	reduce	reduce	VERB
ejpam-5994	131	13	the	the	DET
ejpam-5994	131	14	above	above	ADJ
ejpam-5994	131	15	theorem	theorem	NOUN
ejpam-5994	131	16	to	to	PART
ejpam-5994	131	17	theorem	theorem	VERB
ejpam-5994	131	18	1	1	NUM
ejpam-5994	131	19	.	.	PUNCT
ejpam-5994	131	20	corollary	corollary	ADJ
ejpam-5994	131	21	2	2	NUM
ejpam-5994	131	22	.	.	PUNCT
ejpam-5994	132	1	let	let	VERB
ejpam-5994	132	2	ps	ps	PROPN
ejpam-5994	132	3	,	,	PUNCT
ejpam-5994	132	4	wu	wu	PROPN
ejpam-5994	132	5	,	,	PUNCT
ejpam-5994	132	6	˚	˚	PROPN
ejpam-5994	132	7	,	,	PUNCT
ejpam-5994	132	8	α	α	PROPN
ejpam-5994	132	9	,	,	PUNCT
ejpam-5994	132	10	µq	µq	PART
ejpam-5994	132	11	be	be	AUX
ejpam-5994	132	12	a	a	DET
ejpam-5994	132	13	g	g	NOUN
ejpam-5994	132	14	-	-	PUNCT
ejpam-5994	132	15	complete	complete	ADJ
ejpam-5994	132	16	µefbws̃	µefbws̃	NOUN
ejpam-5994	132	17	with	with	ADP
ejpam-5994	132	18	mappings	mapping	NOUN
ejpam-5994	132	19	α	α	NOUN
ejpam-5994	132	20	,	,	PUNCT
ejpam-5994	132	21	µ	µ	NOUN
ejpam-5994	132	22	:	:	PUNCT
ejpam-5994	132	23	sˆs	sˆs	NOUN
ejpam-5994	132	24	ñ	ñ	PROPN
ejpam-5994	133	1	r1,`8q	r1,`8q	AUX
ejpam-5994	133	2	.	.	PUNCT
ejpam-5994	134	1	let	let	VERB
ejpam-5994	134	2	g	g	PRON
ejpam-5994	134	3	be	be	AUX
ejpam-5994	134	4	a	a	DET
ejpam-5994	134	5	self	self	NOUN
ejpam-5994	134	6	mapping	mapping	NOUN
ejpam-5994	134	7	satisfying	satisfying	ADJ
ejpam-5994	134	8	wµpgκ1	wµpgκ1	NOUN
ejpam-5994	134	9	,	,	PUNCT
ejpam-5994	134	10	gκ2	gκ2	VERB
ejpam-5994	134	11	,	,	PUNCT
ejpam-5994	134	12	βpwµpκ1,κ2	βpwµpκ1,κ2	ADV
ejpam-5994	134	13	,	,	PUNCT
ejpam-5994	134	14	ζqqζq	ζqqζq	ADJ
ejpam-5994	134	15	ě	ě	DET
ejpam-5994	134	16	wµpκ1,κ2	wµpκ1,κ2	NOUN
ejpam-5994	134	17	,	,	PUNCT
ejpam-5994	134	18	ζq	ζq	NOUN
ejpam-5994	134	19	,	,	PUNCT
ejpam-5994	134	20	for	for	ADP
ejpam-5994	134	21	all	all	PRON
ejpam-5994	134	22	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	135	1	p	p	X
ejpam-5994	135	2	s	s	PROPN
ejpam-5994	135	3	whereβ	whereβ	NOUN
ejpam-5994	135	4	p	p	NOUN
ejpam-5994	136	1	fb	fb	INTJ
ejpam-5994	136	2	.	.	PUNCT
ejpam-5994	137	1	then	then	ADV
ejpam-5994	137	2	g	g	PROPN
ejpam-5994	137	3	has	have	VERB
ejpam-5994	137	4	a	a	DET
ejpam-5994	137	5	fixed	fix	VERB
ejpam-5994	137	6	point	point	NOUN
ejpam-5994	137	7	.	.	PUNCT
ejpam-5994	138	1	theorem	theorem	NOUN
ejpam-5994	138	2	3	3	X
ejpam-5994	138	3	.	.	PUNCT
ejpam-5994	139	1	let	let	VERB
ejpam-5994	139	2	ps	ps	PROPN
ejpam-5994	139	3	,	,	PUNCT
ejpam-5994	139	4	wu	wu	PROPN
ejpam-5994	139	5	,	,	PUNCT
ejpam-5994	139	6	˚	˚	PROPN
ejpam-5994	139	7	,	,	PUNCT
ejpam-5994	139	8	α	α	PROPN
ejpam-5994	139	9	,	,	PUNCT
ejpam-5994	139	10	µq	µq	PART
ejpam-5994	139	11	be	be	AUX
ejpam-5994	139	12	a	a	DET
ejpam-5994	139	13	g	g	NOUN
ejpam-5994	139	14	-	-	PUNCT
ejpam-5994	139	15	completeµefbws̃	completeµefbws̃	NOUN
ejpam-5994	139	16	with	with	ADP
ejpam-5994	139	17	mappings	mapping	NOUN
ejpam-5994	139	18	α	α	NOUN
ejpam-5994	139	19	,	,	PUNCT
ejpam-5994	139	20	µ	µ	NOUN
ejpam-5994	139	21	:	:	PUNCT
ejpam-5994	139	22	sˆs	sˆs	NOUN
ejpam-5994	139	23	ñ	ñ	PROPN
ejpam-5994	140	1	r1,`8q	r1,`8q	ADJ
ejpam-5994	140	2	and	and	CCONJ
ejpam-5994	140	3	g	g	NOUN
ejpam-5994	140	4	:	:	PUNCT
ejpam-5994	140	5	s	s	VERB
ejpam-5994	140	6	ñ	ñ	NOUN
ejpam-5994	140	7	s	s	AUX
ejpam-5994	140	8	be	be	AUX
ejpam-5994	140	9	a	a	DET
ejpam-5994	140	10	mapping	mapping	NOUN
ejpam-5994	140	11	satisfying	satisfying	ADJ
ejpam-5994	140	12	wµpgκ1	wµpgκ1	NOUN
ejpam-5994	140	13	,	,	PUNCT
ejpam-5994	140	14	gκ2	gκ2	VERB
ejpam-5994	140	15	,	,	PUNCT
ejpam-5994	140	16	βpwµpκ1,κ2	βpwµpκ1,κ2	ADV
ejpam-5994	140	17	,	,	PUNCT
ejpam-5994	140	18	ζqqζq	ζqqζq	PRON
ejpam-5994	140	19	ě	ě	PROPN
ejpam-5994	140	20	min	min	NOUN
ejpam-5994	140	21	"	"	PUNCT
ejpam-5994	140	22	wµpgκ1	wµpgκ1	PROPN
ejpam-5994	140	23	,	,	PUNCT
ejpam-5994	140	24	gκ2	gκ2	VERB
ejpam-5994	140	25	,	,	PUNCT
ejpam-5994	140	26	ζq	ζq	NOUN
ejpam-5994	140	27	,	,	PUNCT
ejpam-5994	140	28	wµpκ1	wµpκ1	PROPN
ejpam-5994	140	29	,	,	PUNCT
ejpam-5994	140	30	gκ1	gκ1	NOUN
ejpam-5994	140	31	,	,	PUNCT
ejpam-5994	140	32	ζq	ζq	NOUN
ejpam-5994	140	33	,	,	PUNCT
ejpam-5994	140	34	wµpκ2	wµpκ2	NOUN
ejpam-5994	140	35	,	,	PUNCT
ejpam-5994	140	36	gκ2	gκ2	VERB
ejpam-5994	140	37	,	,	PUNCT
ejpam-5994	140	38	ζq	ζq	NOUN
ejpam-5994	140	39	,	,	PUNCT
ejpam-5994	140	40	wµpκ1,κ2	wµpκ1,κ2	NOUN
ejpam-5994	140	41	,	,	PUNCT
ejpam-5994	140	42	ζq	ζq	ADP
ejpam-5994	140	43	*	*	PUNCT
ejpam-5994	140	44	,	,	PUNCT
ejpam-5994	140	45	for	for	ADP
ejpam-5994	140	46	all	all	PRON
ejpam-5994	141	1	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	141	2	p	p	X
ejpam-5994	141	3	s	s	PROPN
ejpam-5994	141	4	and	and	CCONJ
ejpam-5994	141	5	β	β	X
ejpam-5994	141	6	p	p	NOUN
ejpam-5994	142	1	fb	fb	INTJ
ejpam-5994	142	2	.	.	PUNCT
ejpam-5994	143	1	then	then	ADV
ejpam-5994	143	2	there	there	PRON
ejpam-5994	143	3	is	be	VERB
ejpam-5994	143	4	a	a	DET
ejpam-5994	143	5	unique	unique	ADJ
ejpam-5994	143	6	κ0	κ0	NOUN
ejpam-5994	143	7	in	in	ADP
ejpam-5994	143	8	s	s	PRON
ejpam-5994	143	9	such	such	ADJ
ejpam-5994	143	10	that	that	SCONJ
ejpam-5994	143	11	gpκ0q	gpκ0q	PROPN
ejpam-5994	143	12	“	"	PUNCT
ejpam-5994	143	13	κ0	κ0	PROPN
ejpam-5994	143	14	.	.	PUNCT
ejpam-5994	144	1	proof	proof	NOUN
ejpam-5994	144	2	.	.	PUNCT
ejpam-5994	145	1	beginning	begin	VERB
ejpam-5994	145	2	in	in	ADP
ejpam-5994	145	3	the	the	DET
ejpam-5994	145	4	same	same	ADJ
ejpam-5994	145	5	manner	manner	NOUN
ejpam-5994	145	6	as	as	ADP
ejpam-5994	145	7	in	in	ADP
ejpam-5994	145	8	theorem	theorem	NOUN
ejpam-5994	145	9	1	1	NUM
ejpam-5994	145	10	,	,	PUNCT
ejpam-5994	145	11	we	we	PRON
ejpam-5994	145	12	have	have	VERB
ejpam-5994	145	13	wµpκm	wµpκm	NOUN
ejpam-5994	145	14	,	,	PUNCT
ejpam-5994	145	15	κm`1	κm`1	PROPN
ejpam-5994	145	16	,	,	PUNCT
ejpam-5994	145	17	ζq	ζq	ADP
ejpam-5994	145	18	“	"	PUNCT
ejpam-5994	145	19	wµpgκm´1	wµpgκm´1	NOUN
ejpam-5994	145	20	,	,	PUNCT
ejpam-5994	145	21	gκm	gκm	PRON
ejpam-5994	145	22	,	,	PUNCT
ejpam-5994	145	23	ζq	ζq	ADP
ejpam-5994	145	24	ě	ě	PRON
ejpam-5994	145	25	min	min	NOUN
ejpam-5994	145	26	"	"	PUNCT
ejpam-5994	145	27	wµ	wµ	ADP
ejpam-5994	145	28	ˆ	ˆ	ADJ
ejpam-5994	145	29	gκm´1	gκm´1	PROPN
ejpam-5994	145	30	,	,	PUNCT
ejpam-5994	145	31	gκm	gκm	PRON
ejpam-5994	145	32	,	,	PUNCT
ejpam-5994	145	33	ζ	ζ	NOUN
ejpam-5994	145	34	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	145	35	,	,	PUNCT
ejpam-5994	145	36	ζqq	ζqq	X
ejpam-5994	145	37	˙	˙	NOUN
ejpam-5994	145	38	,	,	PUNCT
ejpam-5994	145	39	wµ	wµ	ADP
ejpam-5994	145	40	ˆ	ˆ	X
ejpam-5994	145	41	κm´1	κm´1	PROPN
ejpam-5994	145	42	,	,	PUNCT
ejpam-5994	145	43	gκm´1	gκm´1	PROPN
ejpam-5994	145	44	,	,	PUNCT
ejpam-5994	146	1	ζ	ζ	NOUN
ejpam-5994	146	2	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	146	3	,	,	PUNCT
ejpam-5994	146	4	ζqq	ζqq	X
ejpam-5994	146	5	˙	˙	NOUN
ejpam-5994	146	6	,	,	PUNCT
ejpam-5994	146	7	wµ	wµ	ADV
ejpam-5994	146	8	ˆ	ˆ	ADV
ejpam-5994	146	9	κm	κm	PROPN
ejpam-5994	146	10	,	,	PUNCT
ejpam-5994	146	11	gκm	gκm	PRON
ejpam-5994	146	12	,	,	PUNCT
ejpam-5994	146	13	ζ	ζ	NOUN
ejpam-5994	146	14	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	146	15	,	,	PUNCT
ejpam-5994	146	16	ζqq	ζqq	X
ejpam-5994	146	17	˙	˙	NOUN
ejpam-5994	146	18	,	,	PUNCT
ejpam-5994	146	19	wµ	wµ	ADP
ejpam-5994	146	20	ˆ	ˆ	ADV
ejpam-5994	146	21	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	146	22	,	,	PUNCT
ejpam-5994	146	23	ζ	ζ	NOUN
ejpam-5994	146	24	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	146	25	,	,	PUNCT
ejpam-5994	146	26	ζqq	ζqq	X
ejpam-5994	146	27	˙	˙	NOUN
ejpam-5994	146	28	*	*	VERB
ejpam-5994	146	29	ě	ě	X
ejpam-5994	146	30	min	min	NOUN
ejpam-5994	146	31	"	"	PUNCT
ejpam-5994	146	32	wµ	wµ	ADV
ejpam-5994	146	33	ˆ	ˆ	PROPN
ejpam-5994	146	34	κm	κm	NOUN
ejpam-5994	146	35	,	,	PUNCT
ejpam-5994	146	36	κm`1	κm`1	PROPN
ejpam-5994	146	37	,	,	PUNCT
ejpam-5994	146	38	ζ	ζ	NOUN
ejpam-5994	146	39	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	146	40	,	,	PUNCT
ejpam-5994	146	41	ζqq	ζqq	X
ejpam-5994	146	42	˙	˙	NOUN
ejpam-5994	146	43	,	,	PUNCT
ejpam-5994	146	44	wµ	wµ	ADP
ejpam-5994	146	45	ˆ	ˆ	ADV
ejpam-5994	146	46	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	146	47	,	,	PUNCT
ejpam-5994	146	48	ζ	ζ	NOUN
ejpam-5994	146	49	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	146	50	,	,	PUNCT
ejpam-5994	146	51	ζqq	ζqq	X
ejpam-5994	146	52	˙	˙	NOUN
ejpam-5994	146	53	,	,	PUNCT
ejpam-5994	146	54	wµ	wµ	ADV
ejpam-5994	146	55	ˆ	ˆ	NOUN
ejpam-5994	146	56	κm	κm	NOUN
ejpam-5994	146	57	,	,	PUNCT
ejpam-5994	146	58	κm`1	κm`1	PROPN
ejpam-5994	146	59	,	,	PUNCT
ejpam-5994	147	1	ζ	ζ	NOUN
ejpam-5994	147	2	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	147	3	,	,	PUNCT
ejpam-5994	147	4	ζqq	ζqq	X
ejpam-5994	147	5	˙	˙	NOUN
ejpam-5994	147	6	,	,	PUNCT
ejpam-5994	147	7	wµ	wµ	ADP
ejpam-5994	147	8	ˆ	ˆ	ADV
ejpam-5994	147	9	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	147	10	,	,	PUNCT
ejpam-5994	147	11	ζ	ζ	NOUN
ejpam-5994	147	12	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	147	13	,	,	PUNCT
ejpam-5994	147	14	ζqq	ζqq	X
ejpam-5994	147	15	˙	˙	NOUN
ejpam-5994	147	16	*	*	VERB
ejpam-5994	147	17	ě	ě	X
ejpam-5994	147	18	min	min	NOUN
ejpam-5994	147	19	"	"	PUNCT
ejpam-5994	147	20	wµ	wµ	ADV
ejpam-5994	147	21	ˆ	ˆ	PROPN
ejpam-5994	147	22	κm	κm	NOUN
ejpam-5994	147	23	,	,	PUNCT
ejpam-5994	147	24	κm`1	κm`1	PROPN
ejpam-5994	147	25	,	,	PUNCT
ejpam-5994	148	1	ζ	ζ	NOUN
ejpam-5994	148	2	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	148	3	,	,	PUNCT
ejpam-5994	148	4	ζqq	ζqq	X
ejpam-5994	148	5	˙	˙	NOUN
ejpam-5994	148	6	,	,	PUNCT
ejpam-5994	148	7	wµ	wµ	ADP
ejpam-5994	148	8	ˆ	ˆ	ADV
ejpam-5994	148	9	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	148	10	,	,	PUNCT
ejpam-5994	148	11	ζ	ζ	NOUN
ejpam-5994	148	12	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	148	13	,	,	PUNCT
ejpam-5994	148	14	ζqq	ζqq	X
ejpam-5994	148	15	˙	˙	NOUN
ejpam-5994	148	16	*	*	PUNCT
ejpam-5994	148	17	,	,	PUNCT
ejpam-5994	148	18	employing	employ	VERB
ejpam-5994	148	19	the	the	DET
ejpam-5994	148	20	identical	identical	ADJ
ejpam-5994	148	21	method	method	NOUN
ejpam-5994	148	22	as	as	SCONJ
ejpam-5994	148	23	applied	apply	VERB
ejpam-5994	148	24	in	in	ADP
ejpam-5994	148	25	theorem	theorem	ADJ
ejpam-5994	148	26	2	2	NUM
ejpam-5994	148	27	subsequent	subsequent	ADJ
ejpam-5994	148	28	to	to	ADP
ejpam-5994	148	29	the	the	DET
ejpam-5994	148	30	inequality	inequality	NOUN
ejpam-5994	148	31	(	(	PUNCT
ejpam-5994	148	32	3.4	3.4	NUM
ejpam-5994	148	33	)	)	PUNCT
ejpam-5994	148	34	,	,	PUNCT
ejpam-5994	148	35	the	the	DET
ejpam-5994	148	36	existence	existence	NOUN
ejpam-5994	148	37	and	and	CCONJ
ejpam-5994	148	38	uniqueness	uniqueness	NOUN
ejpam-5994	148	39	of	of	ADP
ejpam-5994	148	40	fixed	fix	VERB
ejpam-5994	148	41	point	point	NOUN
ejpam-5994	148	42	can	can	AUX
ejpam-5994	148	43	be	be	AUX
ejpam-5994	148	44	shown	show	VERB
ejpam-5994	148	45	.	.	PUNCT
ejpam-5994	149	1	theorem	theorem	ADJ
ejpam-5994	149	2	4	4	NUM
ejpam-5994	149	3	.	.	PUNCT
ejpam-5994	150	1	let	let	VERB
ejpam-5994	150	2	ps	ps	PROPN
ejpam-5994	150	3	,	,	PUNCT
ejpam-5994	150	4	wu	wu	PROPN
ejpam-5994	150	5	,	,	PUNCT
ejpam-5994	150	6	˚	˚	PROPN
ejpam-5994	150	7	,	,	PUNCT
ejpam-5994	150	8	α	α	PROPN
ejpam-5994	150	9	,	,	PUNCT
ejpam-5994	150	10	µq	µq	PART
ejpam-5994	150	11	be	be	AUX
ejpam-5994	150	12	a	a	DET
ejpam-5994	150	13	g	g	NOUN
ejpam-5994	150	14	-	-	PUNCT
ejpam-5994	150	15	complete	complete	ADJ
ejpam-5994	150	16	µefbws̃	µefbws̃	NOUN
ejpam-5994	150	17	with	with	ADP
ejpam-5994	150	18	mappings	mapping	NOUN
ejpam-5994	150	19	α	α	NOUN
ejpam-5994	150	20	,	,	PUNCT
ejpam-5994	150	21	µ	µ	NOUN
ejpam-5994	150	22	:	:	PUNCT
ejpam-5994	150	23	sˆs	sˆs	NOUN
ejpam-5994	150	24	ñ	ñ	PROPN
ejpam-5994	151	1	r1,`8q	r1,`8q	AUX
ejpam-5994	151	2	.	.	PUNCT
ejpam-5994	152	1	let	let	VERB
ejpam-5994	152	2	g	g	NOUN
ejpam-5994	152	3	:	:	PUNCT
ejpam-5994	152	4	s	s	VERB
ejpam-5994	152	5	ñ	ñ	NOUN
ejpam-5994	152	6	s	s	AUX
ejpam-5994	152	7	be	be	AUX
ejpam-5994	152	8	a	a	DET
ejpam-5994	152	9	mapping	mapping	NOUN
ejpam-5994	152	10	satisfying	satisfying	ADJ
ejpam-5994	152	11	wµpgκ1	wµpgκ1	NOUN
ejpam-5994	152	12	,	,	PUNCT
ejpam-5994	152	13	gκ2	gκ2	VERB
ejpam-5994	152	14	,	,	PUNCT
ejpam-5994	152	15	βpwµpκ1,κ2	βpwµpκ1,κ2	ADV
ejpam-5994	152	16	,	,	PUNCT
ejpam-5994	152	17	ζqqζq	ζqqζq	VERB
ejpam-5994	152	18	ě	ě	PROPN
ejpam-5994	152	19	η	η	PROPN
ejpam-5994	152	20	`	`	PUNCT
ejpam-5994	152	21	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	152	22	,	,	PUNCT
ejpam-5994	152	23	ζ	ζ	PROPN
ejpam-5994	152	24	˘	˘	NUM
ejpam-5994	152	25	max	max	PROPN
ejpam-5994	152	26	"	"	PUNCT
ejpam-5994	152	27	wµpκ1	wµpκ1	PROPN
ejpam-5994	152	28	,	,	PUNCT
ejpam-5994	152	29	gκ1	gκ1	NOUN
ejpam-5994	152	30	,	,	PUNCT
ejpam-5994	152	31	ζq	ζq	NOUN
ejpam-5994	152	32	,	,	PUNCT
ejpam-5994	152	33	wµpκ2	wµpκ2	NOUN
ejpam-5994	152	34	,	,	PUNCT
ejpam-5994	152	35	gκ2	gκ2	VERB
ejpam-5994	152	36	,	,	PUNCT
ejpam-5994	152	37	ζq	ζq	ADP
ejpam-5994	152	38	*	*	PUNCT
ejpam-5994	152	39	,	,	PUNCT
ejpam-5994	152	40	k.	k.	PROPN
ejpam-5994	152	41	abodayeh	abodayeh	PROPN
ejpam-5994	152	42	et	et	PROPN
ejpam-5994	152	43	al	al	PROPN
ejpam-5994	152	44	.	.	PUNCT
ejpam-5994	152	45	/	/	SYM
ejpam-5994	152	46	eur	eur	PROPN
ejpam-5994	152	47	.	.	PUNCT
ejpam-5994	153	1	j.	j.	PROPN
ejpam-5994	153	2	pure	pure	PROPN
ejpam-5994	153	3	appl	appl	PROPN
ejpam-5994	153	4	.	.	PROPN
ejpam-5994	153	5	math	math	PROPN
ejpam-5994	153	6	,	,	PUNCT
ejpam-5994	153	7	18	18	NUM
ejpam-5994	153	8	(	(	PUNCT
ejpam-5994	153	9	2	2	NUM
ejpam-5994	153	10	)	)	PUNCT
ejpam-5994	153	11	(	(	PUNCT
ejpam-5994	153	12	2025	2025	NUM
ejpam-5994	153	13	)	)	PUNCT
ejpam-5994	153	14	,	,	PUNCT
ejpam-5994	153	15	5994	5994	NUM
ejpam-5994	153	16	10	10	NUM
ejpam-5994	153	17	of	of	ADP
ejpam-5994	153	18	22	22	NUM
ejpam-5994	153	19	where	where	SCONJ
ejpam-5994	153	20	η	η	PROPN
ejpam-5994	153	21	`	`	PUNCT
ejpam-5994	153	22	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	153	23	,	,	PUNCT
ejpam-5994	153	24	t	t	PROPN
ejpam-5994	153	25	˘	˘	NUM
ejpam-5994	153	26	“	"	PUNCT
ejpam-5994	153	27	min	min	NOUN
ejpam-5994	153	28	"	"	PUNCT
ejpam-5994	153	29	wµpgκ1	wµpgκ1	PROPN
ejpam-5994	153	30	,	,	PUNCT
ejpam-5994	153	31	gκ2	gκ2	NOUN
ejpam-5994	153	32	,	,	PUNCT
ejpam-5994	153	33	ζqwµpκ1,κ2	ζqwµpκ1,κ2	NOUN
ejpam-5994	153	34	,	,	PUNCT
ejpam-5994	153	35	ζq	ζq	NOUN
ejpam-5994	153	36	,	,	PUNCT
ejpam-5994	153	37	wµpκ1	wµpκ1	PROPN
ejpam-5994	153	38	,	,	PUNCT
ejpam-5994	153	39	gκ1	gκ1	NOUN
ejpam-5994	153	40	,	,	PUNCT
ejpam-5994	153	41	ζqwµpκ2	ζqwµpκ2	PROPN
ejpam-5994	153	42	,	,	PUNCT
ejpam-5994	153	43	gκ2	gκ2	VERB
ejpam-5994	153	44	,	,	PUNCT
ejpam-5994	153	45	ζq	ζq	ADP
ejpam-5994	153	46	*	*	PUNCT
ejpam-5994	153	47	,	,	PUNCT
ejpam-5994	153	48	for	for	ADP
ejpam-5994	153	49	all	all	DET
ejpam-5994	153	50	κ1	κ1	NOUN
ejpam-5994	153	51	,	,	PUNCT
ejpam-5994	153	52	x2	x2	PROPN
ejpam-5994	153	53	p	p	NOUN
ejpam-5994	153	54	s	s	PROPN
ejpam-5994	153	55	,	,	PUNCT
ejpam-5994	153	56	and	and	CCONJ
ejpam-5994	153	57	β	β	X
ejpam-5994	153	58	p	p	NOUN
ejpam-5994	154	1	fb	fb	INTJ
ejpam-5994	154	2	.	.	PUNCT
ejpam-5994	155	1	then	then	ADV
ejpam-5994	155	2	there	there	PRON
ejpam-5994	155	3	is	be	VERB
ejpam-5994	155	4	a	a	DET
ejpam-5994	155	5	unique	unique	ADJ
ejpam-5994	155	6	κ0	κ0	NOUN
ejpam-5994	155	7	in	in	ADP
ejpam-5994	155	8	s	s	PRON
ejpam-5994	155	9	such	such	ADJ
ejpam-5994	155	10	that	that	SCONJ
ejpam-5994	155	11	gpκ0q	gpκ0q	PROPN
ejpam-5994	155	12	“	"	PUNCT
ejpam-5994	155	13	κ0	κ0	NOUN
ejpam-5994	155	14	..	..	PUNCT
ejpam-5994	155	15	proof	proof	NOUN
ejpam-5994	155	16	.	.	PUNCT
ejpam-5994	156	1	arguing	argue	VERB
ejpam-5994	156	2	as	as	ADP
ejpam-5994	156	3	in	in	ADP
ejpam-5994	156	4	theorem	theorem	NOUN
ejpam-5994	156	5	1	1	NUM
ejpam-5994	156	6	,	,	PUNCT
ejpam-5994	156	7	we	we	PRON
ejpam-5994	156	8	have	have	VERB
ejpam-5994	156	9	wµpκm	wµpκm	NOUN
ejpam-5994	156	10	,	,	PUNCT
ejpam-5994	156	11	κm`1	κm`1	PROPN
ejpam-5994	156	12	,	,	PUNCT
ejpam-5994	156	13	ζq	ζq	ADP
ejpam-5994	156	14	“	"	PUNCT
ejpam-5994	156	15	wµpgκm´1	wµpgκm´1	NOUN
ejpam-5994	156	16	,	,	PUNCT
ejpam-5994	156	17	gκm	gκm	PRON
ejpam-5994	156	18	,	,	PUNCT
ejpam-5994	156	19	ζq	ζq	ADP
ejpam-5994	156	20	ě	ě	PROPN
ejpam-5994	156	21	η	η	PROPN
ejpam-5994	156	22	`	`	PUNCT
ejpam-5994	156	23	κn	κn	NOUN
ejpam-5994	156	24	,	,	PUNCT
ejpam-5994	156	25	κm`1	κm`1	PROPN
ejpam-5994	156	26	,	,	PUNCT
ejpam-5994	156	27	ζ	ζ	NOUN
ejpam-5994	156	28	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	156	29	,	,	PUNCT
ejpam-5994	156	30	ζqq	ζqq	ADP
ejpam-5994	156	31	˘	˘	PROPN
ejpam-5994	156	32	max	max	PROPN
ejpam-5994	156	33	"	"	PUNCT
ejpam-5994	156	34	wµ	wµ	PROPN
ejpam-5994	156	35	`	`	PUNCT
ejpam-5994	156	36	κm´1	κm´1	PROPN
ejpam-5994	156	37	,	,	PUNCT
ejpam-5994	156	38	gκm´1	gκm´1	PROPN
ejpam-5994	156	39	,	,	PUNCT
ejpam-5994	156	40	ζ	ζ	NOUN
ejpam-5994	156	41	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	156	42	,	,	PUNCT
ejpam-5994	156	43	ζqq	ζqq	ADP
ejpam-5994	156	44	˘	˘	NOUN
ejpam-5994	156	45	,	,	PUNCT
ejpam-5994	156	46	wµ	wµ	CCONJ
ejpam-5994	156	47	`	`	PUNCT
ejpam-5994	156	48	κm	κm	PROPN
ejpam-5994	156	49	,	,	PUNCT
ejpam-5994	156	50	gκm	gκm	PRON
ejpam-5994	156	51	,	,	PUNCT
ejpam-5994	156	52	ζ	ζ	NOUN
ejpam-5994	156	53	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	156	54	,	,	PUNCT
ejpam-5994	156	55	ζqq	ζqq	ADP
ejpam-5994	156	56	˘	˘	NOUN
ejpam-5994	156	57	*	*	PROPN
ejpam-5994	156	58	.(3.5	.(3.5	NUM
ejpam-5994	156	59	)	)	PUNCT
ejpam-5994	157	1	now	now	ADV
ejpam-5994	157	2	,	,	PUNCT
ejpam-5994	157	3	η	η	PROPN
ejpam-5994	157	4	ˆ	ˆ	PROPN
ejpam-5994	157	5	κn	κn	NOUN
ejpam-5994	157	6	,	,	PUNCT
ejpam-5994	157	7	κm`1	κm`1	PROPN
ejpam-5994	157	8	,	,	PUNCT
ejpam-5994	157	9	ζ	ζ	NOUN
ejpam-5994	157	10	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	157	11	,	,	PUNCT
ejpam-5994	157	12	ζqq	ζqq	X
ejpam-5994	157	13	˙	˙	X
ejpam-5994	157	14	“	"	PUNCT
ejpam-5994	157	15	min	min	NOUN
ejpam-5994	157	16	"	"	PUNCT
ejpam-5994	157	17	wµ	wµ	ADP
ejpam-5994	157	18	ˆ	ˆ	ADJ
ejpam-5994	157	19	gκm´1	gκm´1	PROPN
ejpam-5994	157	20	,	,	PUNCT
ejpam-5994	157	21	gκm	gκm	PRON
ejpam-5994	157	22	,	,	PUNCT
ejpam-5994	157	23	ζ	ζ	NOUN
ejpam-5994	157	24	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	157	25	,	,	PUNCT
ejpam-5994	157	26	ζqq	ζqq	X
ejpam-5994	157	27	˙	˙	NOUN
ejpam-5994	158	1	wµ	wµ	ADP
ejpam-5994	158	2	ˆ	ˆ	ADV
ejpam-5994	158	3	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	158	4	,	,	PUNCT
ejpam-5994	158	5	ζ	ζ	NOUN
ejpam-5994	158	6	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	158	7	,	,	PUNCT
ejpam-5994	158	8	ζqq	ζqq	X
ejpam-5994	158	9	˙	˙	NOUN
ejpam-5994	158	10	,	,	PUNCT
ejpam-5994	158	11	wµ	wµ	ADV
ejpam-5994	158	12	ˆ	ˆ	X
ejpam-5994	158	13	κm´1	κm´1	PROPN
ejpam-5994	158	14	,	,	PUNCT
ejpam-5994	158	15	gκm´1	gκm´1	PROPN
ejpam-5994	158	16	,	,	PUNCT
ejpam-5994	158	17	ζ	ζ	NOUN
ejpam-5994	158	18	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	158	19	,	,	PUNCT
ejpam-5994	158	20	ζqq	ζqq	X
ejpam-5994	158	21	˙	˙	NOUN
ejpam-5994	159	1	wµ	wµ	ADP
ejpam-5994	159	2	ˆ	ˆ	PROPN
ejpam-5994	159	3	κm	κm	PROPN
ejpam-5994	159	4	,	,	PUNCT
ejpam-5994	159	5	gκm	gκm	PRON
ejpam-5994	159	6	,	,	PUNCT
ejpam-5994	159	7	ζ	ζ	NOUN
ejpam-5994	159	8	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	159	9	,	,	PUNCT
ejpam-5994	159	10	ζqq	ζqq	X
ejpam-5994	159	11	˙	˙	NOUN
ejpam-5994	159	12	*	*	PUNCT
ejpam-5994	159	13	“	"	PUNCT
ejpam-5994	159	14	min	min	NOUN
ejpam-5994	159	15	"	"	PUNCT
ejpam-5994	159	16	wµ	wµ	ADV
ejpam-5994	159	17	ˆ	ˆ	PROPN
ejpam-5994	159	18	κm	κm	NOUN
ejpam-5994	159	19	,	,	PUNCT
ejpam-5994	159	20	κm`1	κm`1	PROPN
ejpam-5994	159	21	,	,	PUNCT
ejpam-5994	159	22	ζ	ζ	NOUN
ejpam-5994	159	23	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	159	24	,	,	PUNCT
ejpam-5994	159	25	ζqq	ζqq	X
ejpam-5994	159	26	˙	˙	NOUN
ejpam-5994	160	1	wµ	wµ	ADP
ejpam-5994	160	2	ˆ	ˆ	ADV
ejpam-5994	160	3	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	160	4	,	,	PUNCT
ejpam-5994	160	5	ζ	ζ	NOUN
ejpam-5994	160	6	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	160	7	,	,	PUNCT
ejpam-5994	160	8	ζqq	ζqq	X
ejpam-5994	160	9	˙	˙	NOUN
ejpam-5994	160	10	,	,	PUNCT
ejpam-5994	160	11	wµ	wµ	ADV
ejpam-5994	160	12	ˆ	ˆ	ADV
ejpam-5994	160	13	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	160	14	,	,	PUNCT
ejpam-5994	160	15	ζ	ζ	NOUN
ejpam-5994	160	16	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	160	17	,	,	PUNCT
ejpam-5994	160	18	ζqq	ζqq	X
ejpam-5994	160	19	˙	˙	NOUN
ejpam-5994	160	20	wµ	wµ	ADP
ejpam-5994	160	21	ˆ	ˆ	PROPN
ejpam-5994	160	22	κm	κm	NOUN
ejpam-5994	160	23	,	,	PUNCT
ejpam-5994	160	24	κm`1	κm`1	PROPN
ejpam-5994	160	25	,	,	PUNCT
ejpam-5994	160	26	ζ	ζ	NOUN
ejpam-5994	160	27	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	160	28	,	,	PUNCT
ejpam-5994	160	29	ζqq	ζqq	X
ejpam-5994	160	30	˙	˙	NOUN
ejpam-5994	160	31	*	*	X
ejpam-5994	160	32	.	.	PUNCT
ejpam-5994	161	1	η	η	PROPN
ejpam-5994	161	2	ˆ	ˆ	PROPN
ejpam-5994	161	3	κm	κm	PROPN
ejpam-5994	161	4	,	,	PUNCT
ejpam-5994	161	5	κm`1	κm`1	PROPN
ejpam-5994	161	6	,	,	PUNCT
ejpam-5994	161	7	ζ	ζ	NOUN
ejpam-5994	161	8	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	161	9	,	,	PUNCT
ejpam-5994	161	10	ζqq	ζqq	X
ejpam-5994	161	11	˙	˙	X
ejpam-5994	161	12	“	"	PUNCT
ejpam-5994	161	13	wµ	wµ	ADP
ejpam-5994	161	14	ˆ	ˆ	ADV
ejpam-5994	161	15	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	161	16	,	,	PUNCT
ejpam-5994	161	17	ζ	ζ	NOUN
ejpam-5994	161	18	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	161	19	,	,	PUNCT
ejpam-5994	161	20	ζqq	ζqq	X
ejpam-5994	161	21	˙	˙	NOUN
ejpam-5994	162	1	wµ	wµ	ADP
ejpam-5994	162	2	ˆ	ˆ	PROPN
ejpam-5994	162	3	κm	κm	NOUN
ejpam-5994	162	4	,	,	PUNCT
ejpam-5994	162	5	κm`1	κm`1	PROPN
ejpam-5994	162	6	,	,	PUNCT
ejpam-5994	162	7	ζ	ζ	NOUN
ejpam-5994	162	8	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	162	9	,	,	PUNCT
ejpam-5994	162	10	ζqq	ζqq	X
ejpam-5994	162	11	˙	˙	NOUN
ejpam-5994	162	12	.	.	PUNCT
ejpam-5994	163	1	(	(	PUNCT
ejpam-5994	163	2	3.6	3.6	NUM
ejpam-5994	163	3	)	)	PUNCT
ejpam-5994	163	4	by	by	ADP
ejpam-5994	163	5	substituting	substitute	VERB
ejpam-5994	163	6	(	(	PUNCT
ejpam-5994	163	7	3.6	3.6	NUM
ejpam-5994	163	8	)	)	PUNCT
ejpam-5994	163	9	in	in	ADP
ejpam-5994	163	10	(	(	PUNCT
ejpam-5994	163	11	3.5	3.5	NUM
ejpam-5994	163	12	)	)	PUNCT
ejpam-5994	163	13	,	,	PUNCT
ejpam-5994	163	14	we	we	PRON
ejpam-5994	163	15	get	get	VERB
ejpam-5994	163	16	wµpκm	wµpκm	NOUN
ejpam-5994	163	17	,	,	PUNCT
ejpam-5994	163	18	κm`1	κm`1	PROPN
ejpam-5994	163	19	,	,	PUNCT
ejpam-5994	163	20	ζq	ζq	VERB
ejpam-5994	163	21	ě	ě	NOUN
ejpam-5994	163	22	wµ	wµ	ADP
ejpam-5994	163	23	ˆ	ˆ	ADV
ejpam-5994	163	24	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	163	25	,	,	PUNCT
ejpam-5994	163	26	ζ	ζ	NOUN
ejpam-5994	163	27	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	163	28	,	,	PUNCT
ejpam-5994	163	29	ζqq	ζqq	X
ejpam-5994	163	30	˙	˙	NOUN
ejpam-5994	164	1	wµ	wµ	ADP
ejpam-5994	164	2	ˆ	ˆ	PROPN
ejpam-5994	164	3	κm	κm	NOUN
ejpam-5994	164	4	,	,	PUNCT
ejpam-5994	164	5	κm`1	κm`1	PROPN
ejpam-5994	164	6	,	,	PUNCT
ejpam-5994	164	7	ζ	ζ	NOUN
ejpam-5994	164	8	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	164	9	,	,	PUNCT
ejpam-5994	164	10	ζqq	ζqq	X
ejpam-5994	164	11	˙	˙	X
ejpam-5994	164	12	max	max	PROPN
ejpam-5994	164	13	"	"	PUNCT
ejpam-5994	164	14	wµ	wµ	PROPN
ejpam-5994	164	15	`	`	PUNCT
ejpam-5994	164	16	κm´1,κm	κm´1,κm	PROPN
ejpam-5994	164	17	,	,	PUNCT
ejpam-5994	164	18	ζ	ζ	NOUN
ejpam-5994	164	19	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	164	20	,	,	PUNCT
ejpam-5994	164	21	ζqq	ζqq	ADP
ejpam-5994	164	22	˘	˘	NOUN
ejpam-5994	164	23	,	,	PUNCT
ejpam-5994	164	24	wµ	wµ	CCONJ
ejpam-5994	164	25	`	`	PUNCT
ejpam-5994	164	26	κm	κm	PROPN
ejpam-5994	164	27	,	,	PUNCT
ejpam-5994	164	28	κm`1	κm`1	PROPN
ejpam-5994	164	29	,	,	PUNCT
ejpam-5994	164	30	ζ	ζ	NOUN
ejpam-5994	164	31	βpwµpκm´1,κn	βpwµpκm´1,κn	NOUN
ejpam-5994	164	32	,	,	PUNCT
ejpam-5994	164	33	ζqq	ζqq	ADP
ejpam-5994	164	34	˘	˘	NOUN
ejpam-5994	164	35	*	*	PUNCT
ejpam-5994	164	36	.	.	PUNCT
ejpam-5994	165	1	(	(	PUNCT
ejpam-5994	165	2	3.7	3.7	NUM
ejpam-5994	165	3	)	)	PUNCT
ejpam-5994	165	4	if	if	SCONJ
ejpam-5994	165	5	max	max	PROPN
ejpam-5994	165	6	"	"	PUNCT
ejpam-5994	165	7	wµ	wµ	ADP
ejpam-5994	165	8	`	`	PUNCT
ejpam-5994	165	9	κm´1,κm	κm´1,κm	PROPN
ejpam-5994	165	10	,	,	PUNCT
ejpam-5994	165	11	ζ	ζ	NOUN
ejpam-5994	165	12	βpwµpxm´1,κm	βpwµpxm´1,κm	NOUN
ejpam-5994	165	13	,	,	PUNCT
ejpam-5994	165	14	ζqq	ζqq	ADP
ejpam-5994	165	15	˘	˘	NOUN
ejpam-5994	165	16	,	,	PUNCT
ejpam-5994	165	17	wµ	wµ	CCONJ
ejpam-5994	165	18	`	`	PUNCT
ejpam-5994	165	19	κm	κm	PROPN
ejpam-5994	165	20	,	,	PUNCT
ejpam-5994	165	21	κm`1	κm`1	PROPN
ejpam-5994	165	22	,	,	PUNCT
ejpam-5994	165	23	ζ	ζ	NOUN
ejpam-5994	165	24	βpwµpκm´1,κn	βpwµpκm´1,κn	NOUN
ejpam-5994	165	25	,	,	PUNCT
ejpam-5994	165	26	ζqq	ζqq	ADP
ejpam-5994	165	27	˘	˘	NOUN
ejpam-5994	165	28	*	*	PUNCT
ejpam-5994	165	29	“	"	PUNCT
ejpam-5994	165	30	wµ	wµ	ADP
ejpam-5994	165	31	ˆ	ˆ	ADV
ejpam-5994	165	32	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	165	33	,	,	PUNCT
ejpam-5994	165	34	ζ	ζ	NOUN
ejpam-5994	165	35	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	165	36	,	,	PUNCT
ejpam-5994	165	37	ζqq	ζqq	X
ejpam-5994	165	38	˙	˙	NOUN
ejpam-5994	165	39	,	,	PUNCT
ejpam-5994	165	40	k.	k.	PROPN
ejpam-5994	165	41	abodayeh	abodayeh	PROPN
ejpam-5994	165	42	et	et	PROPN
ejpam-5994	165	43	al	al	PROPN
ejpam-5994	165	44	.	.	PUNCT
ejpam-5994	165	45	/	/	SYM
ejpam-5994	165	46	eur	eur	PROPN
ejpam-5994	165	47	.	.	PUNCT
ejpam-5994	166	1	j.	j.	PROPN
ejpam-5994	166	2	pure	pure	PROPN
ejpam-5994	166	3	appl	appl	PROPN
ejpam-5994	166	4	.	.	PROPN
ejpam-5994	166	5	math	math	PROPN
ejpam-5994	166	6	,	,	PUNCT
ejpam-5994	166	7	18	18	NUM
ejpam-5994	166	8	(	(	PUNCT
ejpam-5994	166	9	2	2	NUM
ejpam-5994	166	10	)	)	PUNCT
ejpam-5994	166	11	(	(	PUNCT
ejpam-5994	166	12	2025	2025	NUM
ejpam-5994	166	13	)	)	PUNCT
ejpam-5994	166	14	,	,	PUNCT
ejpam-5994	166	15	5994	5994	NUM
ejpam-5994	166	16	11	11	NUM
ejpam-5994	166	17	of	of	ADP
ejpam-5994	166	18	22	22	NUM
ejpam-5994	166	19	as	as	ADP
ejpam-5994	166	20	inequality	inequality	NOUN
ejpam-5994	166	21	(	(	PUNCT
ejpam-5994	166	22	3.7	3.7	NUM
ejpam-5994	166	23	)	)	PUNCT
ejpam-5994	166	24	implies	imply	VERB
ejpam-5994	166	25	that	that	SCONJ
ejpam-5994	166	26	wµpκm	wµpκm	NOUN
ejpam-5994	166	27	,	,	PUNCT
ejpam-5994	166	28	κm`1	κm`1	PROPN
ejpam-5994	166	29	,	,	PUNCT
ejpam-5994	166	30	ζq	ζq	VERB
ejpam-5994	166	31	ě	ě	X
ejpam-5994	166	32	wµ	wµ	ADP
ejpam-5994	166	33	ˆ	ˆ	PROPN
ejpam-5994	166	34	κm	κm	NOUN
ejpam-5994	166	35	,	,	PUNCT
ejpam-5994	166	36	κm`1	κm`1	PROPN
ejpam-5994	166	37	,	,	PUNCT
ejpam-5994	166	38	ζ	ζ	NOUN
ejpam-5994	166	39	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	166	40	,	,	PUNCT
ejpam-5994	166	41	ζqq	ζqq	X
ejpam-5994	166	42	˙	˙	NOUN
ejpam-5994	166	43	,	,	PUNCT
ejpam-5994	166	44	then	then	ADV
ejpam-5994	166	45	there	there	PRON
ejpam-5994	166	46	is	be	VERB
ejpam-5994	166	47	nothing	nothing	PRON
ejpam-5994	166	48	to	to	PART
ejpam-5994	166	49	prove	prove	VERB
ejpam-5994	166	50	by	by	ADP
ejpam-5994	166	51	the	the	DET
ejpam-5994	166	52	assertion	assertion	NOUN
ejpam-5994	166	53	stated	state	VERB
ejpam-5994	166	54	in	in	ADP
ejpam-5994	166	55	lemma	lemma	PROPN
ejpam-5994	166	56	1	1	NUM
ejpam-5994	166	57	.	.	PUNCT
ejpam-5994	167	1	if	if	SCONJ
ejpam-5994	167	2	max	max	PROPN
ejpam-5994	167	3	"	"	PUNCT
ejpam-5994	167	4	wµ	wµ	ADP
ejpam-5994	167	5	`	`	PUNCT
ejpam-5994	167	6	κm´1,κm	κm´1,κm	PROPN
ejpam-5994	167	7	,	,	PUNCT
ejpam-5994	167	8	ζ	ζ	NOUN
ejpam-5994	167	9	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	167	10	,	,	PUNCT
ejpam-5994	167	11	ζqq	ζqq	ADP
ejpam-5994	167	12	˘	˘	NOUN
ejpam-5994	167	13	,	,	PUNCT
ejpam-5994	167	14	wµ	wµ	CCONJ
ejpam-5994	167	15	`	`	PUNCT
ejpam-5994	167	16	κm	κm	PROPN
ejpam-5994	167	17	,	,	PUNCT
ejpam-5994	167	18	κm`1	κm`1	PROPN
ejpam-5994	167	19	,	,	PUNCT
ejpam-5994	167	20	ζ	ζ	NOUN
ejpam-5994	167	21	βpwµpκm´1,κn	βpwµpκm´1,κn	NOUN
ejpam-5994	167	22	,	,	PUNCT
ejpam-5994	167	23	ζqq	ζqq	ADP
ejpam-5994	167	24	˘	˘	NOUN
ejpam-5994	167	25	*	*	PUNCT
ejpam-5994	167	26	“	"	PUNCT
ejpam-5994	167	27	wµ	wµ	ADP
ejpam-5994	167	28	ˆ	ˆ	ADV
ejpam-5994	167	29	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	167	30	,	,	PUNCT
ejpam-5994	167	31	ζ	ζ	NOUN
ejpam-5994	167	32	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	167	33	,	,	PUNCT
ejpam-5994	167	34	ζqq	ζqq	X
ejpam-5994	167	35	˙	˙	NOUN
ejpam-5994	167	36	,	,	PUNCT
ejpam-5994	167	37	then	then	ADV
ejpam-5994	167	38	from	from	ADP
ejpam-5994	167	39	inequality	inequality	NOUN
ejpam-5994	167	40	(	(	PUNCT
ejpam-5994	167	41	3.7	3.7	NUM
ejpam-5994	167	42	)	)	PUNCT
ejpam-5994	167	43	,	,	PUNCT
ejpam-5994	167	44	we	we	PRON
ejpam-5994	167	45	have	have	VERB
ejpam-5994	167	46	wµpκm	wµpκm	NOUN
ejpam-5994	167	47	,	,	PUNCT
ejpam-5994	167	48	κm`1	κm`1	PROPN
ejpam-5994	167	49	,	,	PUNCT
ejpam-5994	167	50	ζq	ζq	VERB
ejpam-5994	167	51	ě	ě	NOUN
ejpam-5994	167	52	wµ	wµ	ADP
ejpam-5994	167	53	ˆ	ˆ	ADV
ejpam-5994	167	54	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	167	55	,	,	PUNCT
ejpam-5994	167	56	ζ	ζ	NOUN
ejpam-5994	167	57	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	167	58	,	,	PUNCT
ejpam-5994	167	59	ζqq	ζqq	X
ejpam-5994	167	60	˙	˙	ADJ
ejpam-5994	167	61	ě	ě	X
ejpam-5994	167	62	wµ	wµ	NOUN
ejpam-5994	167	63	ˆ	ˆ	ADJ
ejpam-5994	167	64	κm´2,κm´1	κm´2,κm´1	NOUN
ejpam-5994	167	65	,	,	PUNCT
ejpam-5994	167	66	ζ	ζ	NOUN
ejpam-5994	167	67	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	167	68	,	,	PUNCT
ejpam-5994	167	69	ζqq.βpwµpκm´2,κm´1	ζqq.βpwµpκm´2,κm´1	PROPN
ejpam-5994	167	70	,	,	PUNCT
ejpam-5994	167	71	ζqq	ζqq	X
ejpam-5994	167	72	˙	˙	NOUN
ejpam-5994	167	73	...	...	PUNCT
ejpam-5994	168	1	ě	ě	X
ejpam-5994	168	2	wµ	wµ	ADP
ejpam-5994	168	3	ˆ	ˆ	NOUN
ejpam-5994	168	4	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	168	5	,	,	PUNCT
ejpam-5994	168	6	ζ	ζ	NOUN
ejpam-5994	168	7	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	168	8	,	,	PUNCT
ejpam-5994	168	9	ζqq.βpwµpκm´2,κm´1	ζqq.βpwµpκm´2,κm´1	PROPN
ejpam-5994	168	10	,	,	PUNCT
ejpam-5994	168	11	ζqq	ζqq	PRON
ejpam-5994	168	12	.	.	PUNCT
ejpam-5994	168	13	.	.	PUNCT
ejpam-5994	168	14	.	.	PUNCT
ejpam-5994	169	1	βpwµpκ0,κ1	βpwµpκ0,κ1	PROPN
ejpam-5994	169	2	,	,	PUNCT
ejpam-5994	169	3	ζqq	ζqq	X
ejpam-5994	169	4	˙	˙	NOUN
ejpam-5994	169	5	.	.	PUNCT
ejpam-5994	170	1	the	the	DET
ejpam-5994	170	2	theorem	theorem	NOUN
ejpam-5994	170	3	can	can	AUX
ejpam-5994	170	4	be	be	AUX
ejpam-5994	170	5	proven	prove	VERB
ejpam-5994	170	6	using	use	VERB
ejpam-5994	170	7	the	the	DET
ejpam-5994	170	8	same	same	ADJ
ejpam-5994	170	9	method	method	NOUN
ejpam-5994	170	10	as	as	SCONJ
ejpam-5994	170	11	demonstrated	demonstrate	VERB
ejpam-5994	170	12	in	in	ADP
ejpam-5994	170	13	theorem	theorem	NOUN
ejpam-5994	170	14	1	1	NUM
ejpam-5994	170	15	.	.	PUNCT
ejpam-5994	171	1	after	after	ADP
ejpam-5994	171	2	considering	consider	VERB
ejpam-5994	171	3	inequality	inequality	NOUN
ejpam-5994	171	4	(	(	PUNCT
ejpam-5994	171	5	3.2	3.2	NUM
ejpam-5994	171	6	)	)	PUNCT
ejpam-5994	171	7	,	,	PUNCT
ejpam-5994	171	8	we	we	PRON
ejpam-5994	171	9	are	be	AUX
ejpam-5994	171	10	able	able	ADJ
ejpam-5994	171	11	to	to	PART
ejpam-5994	171	12	demonstrate	demonstrate	VERB
ejpam-5994	171	13	the	the	DET
ejpam-5994	171	14	fixed	fix	VERB
ejpam-5994	171	15	point	point	NOUN
ejpam-5994	171	16	’s	’s	PART
ejpam-5994	171	17	existence	existence	NOUN
ejpam-5994	171	18	and	and	CCONJ
ejpam-5994	171	19	uniqueness	uniqueness	NOUN
ejpam-5994	171	20	.	.	PUNCT
ejpam-5994	172	1	theorem	theorem	NOUN
ejpam-5994	172	2	5	5	NUM
ejpam-5994	172	3	.	.	PUNCT
ejpam-5994	173	1	let	let	VERB
ejpam-5994	173	2	ps	ps	PROPN
ejpam-5994	173	3	,	,	PUNCT
ejpam-5994	173	4	wu	wu	PROPN
ejpam-5994	173	5	,	,	PUNCT
ejpam-5994	173	6	˚	˚	PROPN
ejpam-5994	173	7	,	,	PUNCT
ejpam-5994	173	8	α	α	PROPN
ejpam-5994	173	9	,	,	PUNCT
ejpam-5994	173	10	µq	µq	PART
ejpam-5994	173	11	be	be	AUX
ejpam-5994	173	12	a	a	DET
ejpam-5994	173	13	g	g	NOUN
ejpam-5994	173	14	-	-	PUNCT
ejpam-5994	173	15	complete	complete	ADJ
ejpam-5994	173	16	µefbws̃	µefbws̃	NOUN
ejpam-5994	173	17	with	with	ADP
ejpam-5994	173	18	mappings	mapping	NOUN
ejpam-5994	173	19	α	α	NOUN
ejpam-5994	173	20	,	,	PUNCT
ejpam-5994	173	21	µ	µ	NOUN
ejpam-5994	173	22	:	:	PUNCT
ejpam-5994	173	23	sˆs	sˆs	NOUN
ejpam-5994	173	24	ñ	ñ	PROPN
ejpam-5994	174	1	r1,`8q	r1,`8q	AUX
ejpam-5994	174	2	.	.	PUNCT
ejpam-5994	175	1	let	let	VERB
ejpam-5994	175	2	g	g	PRON
ejpam-5994	175	3	be	be	AUX
ejpam-5994	175	4	a	a	DET
ejpam-5994	175	5	self	self	NOUN
ejpam-5994	175	6	mapping	mapping	NOUN
ejpam-5994	175	7	satisfying	satisfying	ADJ
ejpam-5994	175	8	wµpgκ1	wµpgκ1	NOUN
ejpam-5994	175	9	,	,	PUNCT
ejpam-5994	175	10	gκ2	gκ2	VERB
ejpam-5994	175	11	,	,	PUNCT
ejpam-5994	175	12	βpwµpκ1,κ2	βpwµpκ1,κ2	ADV
ejpam-5994	175	13	,	,	PUNCT
ejpam-5994	175	14	ζqqζq	ζqqζq	VERB
ejpam-5994	175	15	ě	ě	ADP
ejpam-5994	175	16	λpκ1,κ2	λpκ1,κ2	PROPN
ejpam-5994	175	17	,	,	PUNCT
ejpam-5994	175	18	ζq	ζq	ADP
ejpam-5994	175	19	˚	˚	PROPN
ejpam-5994	175	20	γpκ1,κ2	γpκ1,κ2	PROPN
ejpam-5994	175	21	,	,	PUNCT
ejpam-5994	175	22	ζq	ζq	NOUN
ejpam-5994	175	23	,	,	PUNCT
ejpam-5994	175	24	where	where	SCONJ
ejpam-5994	175	25	λ	λ	PROPN
ejpam-5994	175	26	`	`	PUNCT
ejpam-5994	175	27	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	175	28	,	,	PUNCT
ejpam-5994	175	29	t	t	PROPN
ejpam-5994	175	30	˘	˘	NUM
ejpam-5994	175	31	“	"	PUNCT
ejpam-5994	175	32	min	min	NOUN
ejpam-5994	175	33	"	"	PUNCT
ejpam-5994	175	34	wµpgκ1	wµpgκ1	PROPN
ejpam-5994	175	35	,	,	PUNCT
ejpam-5994	175	36	gκ2	gκ2	VERB
ejpam-5994	175	37	,	,	PUNCT
ejpam-5994	175	38	ζq	ζq	NOUN
ejpam-5994	175	39	,	,	PUNCT
ejpam-5994	175	40	wµpκ1	wµpκ1	PROPN
ejpam-5994	175	41	,	,	PUNCT
ejpam-5994	175	42	gκ1	gκ1	NOUN
ejpam-5994	175	43	,	,	PUNCT
ejpam-5994	175	44	ζq	ζq	NOUN
ejpam-5994	175	45	,	,	PUNCT
ejpam-5994	175	46	wµpκ2	wµpκ2	NOUN
ejpam-5994	175	47	,	,	PUNCT
ejpam-5994	175	48	gκ2	gκ2	VERB
ejpam-5994	175	49	,	,	PUNCT
ejpam-5994	175	50	ζq	ζq	NOUN
ejpam-5994	175	51	,	,	PUNCT
ejpam-5994	175	52	wµpκ1,κ2	wµpκ1,κ2	NOUN
ejpam-5994	175	53	,	,	PUNCT
ejpam-5994	175	54	ζq	ζq	ADP
ejpam-5994	175	55	*	*	PUNCT
ejpam-5994	175	56	γ	γ	X
ejpam-5994	175	57	`	`	PUNCT
ejpam-5994	175	58	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	175	59	,	,	PUNCT
ejpam-5994	175	60	ζ	ζ	PROPN
ejpam-5994	175	61	˘	˘	NUM
ejpam-5994	175	62	“	"	PUNCT
ejpam-5994	175	63	max	max	PROPN
ejpam-5994	175	64	"	"	PUNCT
ejpam-5994	175	65	wµpκ1	wµpκ1	PROPN
ejpam-5994	175	66	,	,	PUNCT
ejpam-5994	175	67	gκ2	gκ2	NOUN
ejpam-5994	175	68	,	,	PUNCT
ejpam-5994	175	69	ζq	ζq	NOUN
ejpam-5994	175	70	,	,	PUNCT
ejpam-5994	175	71	wµpgκ1,κ2	wµpgκ1,κ2	NOUN
ejpam-5994	175	72	,	,	PUNCT
ejpam-5994	175	73	ζq	ζq	ADP
ejpam-5994	175	74	*	*	PUNCT
ejpam-5994	175	75	,	,	PUNCT
ejpam-5994	175	76	for	for	ADP
ejpam-5994	175	77	all	all	DET
ejpam-5994	175	78	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	175	79	p	p	X
ejpam-5994	175	80	s	s	PROPN
ejpam-5994	175	81	,	,	PUNCT
ejpam-5994	175	82	and	and	CCONJ
ejpam-5994	175	83	β	β	X
ejpam-5994	175	84	p	p	NOUN
ejpam-5994	176	1	fb	fb	INTJ
ejpam-5994	176	2	.	.	PUNCT
ejpam-5994	177	1	then	then	ADV
ejpam-5994	177	2	there	there	PRON
ejpam-5994	177	3	will	will	AUX
ejpam-5994	177	4	be	be	AUX
ejpam-5994	177	5	a	a	DET
ejpam-5994	177	6	unique	unique	ADJ
ejpam-5994	177	7	fixed	fix	VERB
ejpam-5994	177	8	point	point	NOUN
ejpam-5994	177	9	of	of	ADP
ejpam-5994	177	10	g	g	PROPN
ejpam-5994	177	11	in	in	ADP
ejpam-5994	177	12	s.	s.	PROPN
ejpam-5994	177	13	proof	proof	PROPN
ejpam-5994	177	14	.	.	PUNCT
ejpam-5994	178	1	using	use	VERB
ejpam-5994	178	2	similar	similar	ADJ
ejpam-5994	178	3	arguments	argument	NOUN
ejpam-5994	178	4	as	as	SCONJ
ejpam-5994	178	5	used	use	VERB
ejpam-5994	178	6	in	in	ADP
ejpam-5994	178	7	the	the	DET
ejpam-5994	178	8	proof	proof	NOUN
ejpam-5994	178	9	of	of	ADP
ejpam-5994	178	10	theorem	theorem	NOUN
ejpam-5994	178	11	1	1	NUM
ejpam-5994	178	12	,	,	PUNCT
ejpam-5994	178	13	we	we	PRON
ejpam-5994	178	14	have	have	AUX
ejpam-5994	178	15	wµpxm	wµpxm	VERB
ejpam-5994	178	16	,	,	PUNCT
ejpam-5994	178	17	κm`1	κm`1	PROPN
ejpam-5994	178	18	,	,	PUNCT
ejpam-5994	178	19	ζq	ζq	ADP
ejpam-5994	178	20	k.	k.	PROPN
ejpam-5994	178	21	abodayeh	abodayeh	PROPN
ejpam-5994	178	22	et	et	PROPN
ejpam-5994	178	23	al	al	PROPN
ejpam-5994	178	24	.	.	PUNCT
ejpam-5994	178	25	/	/	SYM
ejpam-5994	178	26	eur	eur	PROPN
ejpam-5994	178	27	.	.	PUNCT
ejpam-5994	179	1	j.	j.	PROPN
ejpam-5994	179	2	pure	pure	PROPN
ejpam-5994	179	3	appl	appl	PROPN
ejpam-5994	179	4	.	.	PROPN
ejpam-5994	179	5	math	math	PROPN
ejpam-5994	179	6	,	,	PUNCT
ejpam-5994	179	7	18	18	NUM
ejpam-5994	179	8	(	(	PUNCT
ejpam-5994	179	9	2	2	NUM
ejpam-5994	179	10	)	)	PUNCT
ejpam-5994	179	11	(	(	PUNCT
ejpam-5994	179	12	2025	2025	NUM
ejpam-5994	179	13	)	)	PUNCT
ejpam-5994	179	14	,	,	PUNCT
ejpam-5994	179	15	5994	5994	NUM
ejpam-5994	179	16	12	12	NUM
ejpam-5994	179	17	of	of	ADP
ejpam-5994	179	18	22	22	NUM
ejpam-5994	179	19	“	"	PUNCT
ejpam-5994	179	20	wµpgκm´1	wµpgκm´1	PROPN
ejpam-5994	179	21	,	,	PUNCT
ejpam-5994	179	22	gκm	gκm	PRON
ejpam-5994	179	23	,	,	PUNCT
ejpam-5994	179	24	ζq	ζq	ADP
ejpam-5994	179	25	ě	ě	X
ejpam-5994	179	26	λ	λ	PROPN
ejpam-5994	179	27	ˆ	ˆ	NOUN
ejpam-5994	179	28	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	179	29	,	,	PUNCT
ejpam-5994	179	30	ζ	ζ	NOUN
ejpam-5994	179	31	βpwµpκm´1,κn	βpwµpκm´1,κn	NOUN
ejpam-5994	179	32	,	,	PUNCT
ejpam-5994	179	33	ζqq	ζqq	X
ejpam-5994	179	34	˙	˙	NOUN
ejpam-5994	179	35	˚	˚	PROPN
ejpam-5994	179	36	γ	γ	PROPN
ejpam-5994	179	37	ˆ	ˆ	ADP
ejpam-5994	179	38	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	179	39	,	,	PUNCT
ejpam-5994	179	40	ζ	ζ	NOUN
ejpam-5994	179	41	βpwµpκm´1,κn	βpwµpκm´1,κn	NOUN
ejpam-5994	179	42	,	,	PUNCT
ejpam-5994	179	43	ζqq	ζqq	X
ejpam-5994	179	44	˙	˙	NOUN
ejpam-5994	179	45	.	.	PUNCT
ejpam-5994	180	1	(	(	PUNCT
ejpam-5994	180	2	3.8	3.8	NUM
ejpam-5994	180	3	)	)	PUNCT
ejpam-5994	180	4	now	now	ADV
ejpam-5994	180	5	,	,	PUNCT
ejpam-5994	180	6	λ	λ	X
ejpam-5994	180	7	ˆ	ˆ	NOUN
ejpam-5994	180	8	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	180	9	,	,	PUNCT
ejpam-5994	180	10	ζ	ζ	NOUN
ejpam-5994	180	11	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	180	12	,	,	PUNCT
ejpam-5994	180	13	ζqq	ζqq	X
ejpam-5994	180	14	˙	˙	X
ejpam-5994	180	15	“	"	PUNCT
ejpam-5994	180	16	min	min	NOUN
ejpam-5994	180	17	"	"	PUNCT
ejpam-5994	180	18	wµ	wµ	ADP
ejpam-5994	180	19	ˆ	ˆ	ADJ
ejpam-5994	180	20	gκm´1	gκm´1	PROPN
ejpam-5994	180	21	,	,	PUNCT
ejpam-5994	180	22	gκm	gκm	PRON
ejpam-5994	180	23	,	,	PUNCT
ejpam-5994	180	24	ζ	ζ	NOUN
ejpam-5994	180	25	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	180	26	,	,	PUNCT
ejpam-5994	180	27	ζqq	ζqq	X
ejpam-5994	180	28	˙	˙	NOUN
ejpam-5994	180	29	,	,	PUNCT
ejpam-5994	180	30	wµ	wµ	ADP
ejpam-5994	180	31	ˆ	ˆ	X
ejpam-5994	180	32	κm´1	κm´1	PROPN
ejpam-5994	180	33	,	,	PUNCT
ejpam-5994	180	34	gκm´1	gκm´1	PROPN
ejpam-5994	180	35	,	,	PUNCT
ejpam-5994	180	36	ζ	ζ	NOUN
ejpam-5994	180	37	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	180	38	,	,	PUNCT
ejpam-5994	180	39	ζqq	ζqq	X
ejpam-5994	180	40	˙	˙	NOUN
ejpam-5994	180	41	,	,	PUNCT
ejpam-5994	180	42	wµ	wµ	ADV
ejpam-5994	180	43	ˆ	ˆ	ADV
ejpam-5994	180	44	κm	κm	PROPN
ejpam-5994	180	45	,	,	PUNCT
ejpam-5994	180	46	gκm	gκm	PRON
ejpam-5994	180	47	,	,	PUNCT
ejpam-5994	180	48	ζ	ζ	NOUN
ejpam-5994	180	49	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	180	50	,	,	PUNCT
ejpam-5994	180	51	ζqq	ζqq	X
ejpam-5994	180	52	˙	˙	NOUN
ejpam-5994	180	53	,	,	PUNCT
ejpam-5994	180	54	wµ	wµ	ADP
ejpam-5994	180	55	ˆ	ˆ	ADV
ejpam-5994	180	56	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	180	57	,	,	PUNCT
ejpam-5994	180	58	ζ	ζ	NOUN
ejpam-5994	180	59	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	180	60	,	,	PUNCT
ejpam-5994	180	61	ζqq	ζqq	X
ejpam-5994	180	62	˙	˙	NOUN
ejpam-5994	180	63	*	*	X
ejpam-5994	180	64	.	.	PUNCT
ejpam-5994	181	1	“	"	PUNCT
ejpam-5994	181	2	min	min	NOUN
ejpam-5994	181	3	"	"	PUNCT
ejpam-5994	181	4	wµ	wµ	ADV
ejpam-5994	181	5	ˆ	ˆ	PROPN
ejpam-5994	181	6	κm	κm	NOUN
ejpam-5994	181	7	,	,	PUNCT
ejpam-5994	181	8	κm`1	κm`1	PROPN
ejpam-5994	181	9	,	,	PUNCT
ejpam-5994	181	10	ζ	ζ	NOUN
ejpam-5994	181	11	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	181	12	,	,	PUNCT
ejpam-5994	181	13	ζqq	ζqq	X
ejpam-5994	181	14	˙	˙	NOUN
ejpam-5994	181	15	,	,	PUNCT
ejpam-5994	181	16	wµ	wµ	ADP
ejpam-5994	181	17	ˆ	ˆ	ADV
ejpam-5994	181	18	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	181	19	,	,	PUNCT
ejpam-5994	181	20	ζ	ζ	NOUN
ejpam-5994	181	21	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	181	22	,	,	PUNCT
ejpam-5994	181	23	ζqq	ζqq	X
ejpam-5994	181	24	˙	˙	NOUN
ejpam-5994	181	25	,	,	PUNCT
ejpam-5994	181	26	wµ	wµ	ADV
ejpam-5994	181	27	ˆ	ˆ	NOUN
ejpam-5994	181	28	κm	κm	NOUN
ejpam-5994	181	29	,	,	PUNCT
ejpam-5994	181	30	κm`1	κm`1	PROPN
ejpam-5994	181	31	,	,	PUNCT
ejpam-5994	181	32	ζ	ζ	NOUN
ejpam-5994	181	33	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	181	34	,	,	PUNCT
ejpam-5994	181	35	ζqq	ζqq	X
ejpam-5994	181	36	˙	˙	NOUN
ejpam-5994	181	37	,	,	PUNCT
ejpam-5994	181	38	wµ	wµ	ADP
ejpam-5994	181	39	ˆ	ˆ	ADV
ejpam-5994	181	40	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	181	41	,	,	PUNCT
ejpam-5994	181	42	ζ	ζ	NOUN
ejpam-5994	181	43	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	181	44	,	,	PUNCT
ejpam-5994	181	45	ζqq	ζqq	X
ejpam-5994	181	46	˙	˙	NOUN
ejpam-5994	181	47	*	*	PUNCT
ejpam-5994	181	48	.	.	PUNCT
ejpam-5994	182	1	λ	λ	PROPN
ejpam-5994	182	2	ˆ	ˆ	NOUN
ejpam-5994	182	3	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	182	4	,	,	PUNCT
ejpam-5994	182	5	ζ	ζ	NOUN
ejpam-5994	182	6	βpwµpκm´1,κn	βpwµpκm´1,κn	NOUN
ejpam-5994	182	7	,	,	PUNCT
ejpam-5994	182	8	ζqq	ζqq	X
ejpam-5994	182	9	˙	˙	X
ejpam-5994	182	10	“	"	PUNCT
ejpam-5994	182	11	min	min	NOUN
ejpam-5994	182	12	"	"	PUNCT
ejpam-5994	182	13	wµ	wµ	ADV
ejpam-5994	182	14	ˆ	ˆ	PROPN
ejpam-5994	182	15	κm	κm	NOUN
ejpam-5994	182	16	,	,	PUNCT
ejpam-5994	182	17	κm`1	κm`1	PROPN
ejpam-5994	182	18	,	,	PUNCT
ejpam-5994	182	19	ζ	ζ	NOUN
ejpam-5994	182	20	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	182	21	,	,	PUNCT
ejpam-5994	182	22	ζqq	ζqq	X
ejpam-5994	182	23	˙	˙	NOUN
ejpam-5994	182	24	,	,	PUNCT
ejpam-5994	182	25	wµ	wµ	ADP
ejpam-5994	182	26	ˆ	ˆ	ADV
ejpam-5994	182	27	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	182	28	,	,	PUNCT
ejpam-5994	182	29	ζ	ζ	NOUN
ejpam-5994	182	30	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	182	31	,	,	PUNCT
ejpam-5994	182	32	ζqq	ζqq	X
ejpam-5994	182	33	˙	˙	NOUN
ejpam-5994	182	34	*	*	X
ejpam-5994	182	35	.(3.9	.(3.9	X
ejpam-5994	182	36	)	)	PUNCT
ejpam-5994	182	37	also	also	ADV
ejpam-5994	182	38	γ	γ	X
ejpam-5994	182	39	ˆ	ˆ	X
ejpam-5994	182	40	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	182	41	,	,	PUNCT
ejpam-5994	182	42	ζ	ζ	NOUN
ejpam-5994	182	43	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	182	44	,	,	PUNCT
ejpam-5994	182	45	ζqq	ζqq	X
ejpam-5994	182	46	˙	˙	X
ejpam-5994	182	47	“	"	PUNCT
ejpam-5994	182	48	max	max	PROPN
ejpam-5994	182	49	"	"	PUNCT
ejpam-5994	182	50	wµ	wµ	ADP
ejpam-5994	182	51	ˆ	ˆ	PROPN
ejpam-5994	182	52	κm´1	κm´1	PROPN
ejpam-5994	182	53	,	,	PUNCT
ejpam-5994	182	54	gκm	gκm	PROPN
ejpam-5994	182	55	,	,	PUNCT
ejpam-5994	182	56	ζ	ζ	NOUN
ejpam-5994	182	57	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	182	58	,	,	PUNCT
ejpam-5994	182	59	ζqq	ζqq	X
ejpam-5994	182	60	˙	˙	NOUN
ejpam-5994	182	61	,	,	PUNCT
ejpam-5994	182	62	wµ	wµ	ADP
ejpam-5994	182	63	ˆ	ˆ	NOUN
ejpam-5994	182	64	gκm´1,κm	gκm´1,κm	NOUN
ejpam-5994	182	65	,	,	PUNCT
ejpam-5994	182	66	ζ	ζ	NOUN
ejpam-5994	182	67	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	182	68	,	,	PUNCT
ejpam-5994	182	69	ζqq	ζqq	X
ejpam-5994	182	70	˙	˙	NOUN
ejpam-5994	182	71	*	*	PUNCT
ejpam-5994	182	72	“	"	PUNCT
ejpam-5994	182	73	max	max	PROPN
ejpam-5994	182	74	"	"	PUNCT
ejpam-5994	182	75	wµ	wµ	ADP
ejpam-5994	182	76	ˆ	ˆ	ADP
ejpam-5994	182	77	κm´1,κm`1	κm´1,κm`1	NUM
ejpam-5994	182	78	,	,	PUNCT
ejpam-5994	182	79	ζ	ζ	NOUN
ejpam-5994	182	80	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	182	81	,	,	PUNCT
ejpam-5994	182	82	ζqq	ζqq	X
ejpam-5994	182	83	˙	˙	NOUN
ejpam-5994	182	84	,	,	PUNCT
ejpam-5994	182	85	wµ	wµ	ADV
ejpam-5994	182	86	ˆ	ˆ	NOUN
ejpam-5994	182	87	κm	κm	PROPN
ejpam-5994	182	88	,	,	PUNCT
ejpam-5994	182	89	κm	κm	PROPN
ejpam-5994	182	90	,	,	PUNCT
ejpam-5994	182	91	ζ	ζ	NOUN
ejpam-5994	182	92	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	182	93	,	,	PUNCT
ejpam-5994	182	94	ζqq	ζqq	X
ejpam-5994	182	95	˙	˙	NOUN
ejpam-5994	182	96	*	*	PUNCT
ejpam-5994	182	97	“	"	PUNCT
ejpam-5994	182	98	max	max	PROPN
ejpam-5994	182	99	"	"	PUNCT
ejpam-5994	182	100	wµ	wµ	ADP
ejpam-5994	182	101	ˆ	ˆ	ADP
ejpam-5994	182	102	κm´1,κm`1	κm´1,κm`1	NUM
ejpam-5994	182	103	,	,	PUNCT
ejpam-5994	182	104	ζ	ζ	NOUN
ejpam-5994	182	105	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	182	106	,	,	PUNCT
ejpam-5994	182	107	ζqq	ζqq	X
ejpam-5994	182	108	˙	˙	NOUN
ejpam-5994	182	109	,	,	PUNCT
ejpam-5994	182	110	1	1	NUM
ejpam-5994	182	111	*	*	PUNCT
ejpam-5994	182	112	γ	γ	X
ejpam-5994	182	113	`	`	PUNCT
ejpam-5994	182	114	κm´1,κm	κm´1,κm	PROPN
ejpam-5994	182	115	,	,	PUNCT
ejpam-5994	182	116	ζ	ζ	NOUN
ejpam-5994	182	117	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	182	118	,	,	PUNCT
ejpam-5994	182	119	ζqq	ζqq	X
ejpam-5994	182	120	˘	˘	NOUN
ejpam-5994	182	121	“	"	PUNCT
ejpam-5994	182	122	1	1	NUM
ejpam-5994	182	123	.	.	PUNCT
ejpam-5994	182	124	(	(	PUNCT
ejpam-5994	182	125	3.10	3.10	NUM
ejpam-5994	182	126	)	)	PUNCT
ejpam-5994	182	127	using	use	VERB
ejpam-5994	182	128	equation(3.9	equation(3.9	NOUN
ejpam-5994	182	129	)	)	PUNCT
ejpam-5994	182	130	and	and	CCONJ
ejpam-5994	182	131	(	(	PUNCT
ejpam-5994	182	132	3.10	3.10	NUM
ejpam-5994	182	133	)	)	PUNCT
ejpam-5994	182	134	in	in	ADP
ejpam-5994	182	135	inequality	inequality	NOUN
ejpam-5994	182	136	(	(	PUNCT
ejpam-5994	182	137	3.8	3.8	NUM
ejpam-5994	182	138	)	)	PUNCT
ejpam-5994	182	139	,	,	PUNCT
ejpam-5994	182	140	we	we	PRON
ejpam-5994	182	141	have	have	VERB
ejpam-5994	182	142	wµpκm	wµpκm	NOUN
ejpam-5994	182	143	,	,	PUNCT
ejpam-5994	182	144	κm`1	κm`1	PROPN
ejpam-5994	182	145	,	,	PUNCT
ejpam-5994	182	146	ζq	ζq	ADP
ejpam-5994	182	147	ě	ě	PRON
ejpam-5994	182	148	min	min	NOUN
ejpam-5994	182	149	"	"	PUNCT
ejpam-5994	182	150	wµ	wµ	ADV
ejpam-5994	182	151	ˆ	ˆ	PROPN
ejpam-5994	182	152	κm	κm	NOUN
ejpam-5994	182	153	,	,	PUNCT
ejpam-5994	182	154	κm`1	κm`1	PROPN
ejpam-5994	182	155	,	,	PUNCT
ejpam-5994	182	156	ζ	ζ	NOUN
ejpam-5994	182	157	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	182	158	,	,	PUNCT
ejpam-5994	182	159	ζqq	ζqq	X
ejpam-5994	182	160	˙	˙	NOUN
ejpam-5994	182	161	,	,	PUNCT
ejpam-5994	182	162	wµ	wµ	ADP
ejpam-5994	182	163	ˆ	ˆ	ADV
ejpam-5994	182	164	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	182	165	,	,	PUNCT
ejpam-5994	182	166	ζ	ζ	NOUN
ejpam-5994	182	167	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	182	168	,	,	PUNCT
ejpam-5994	182	169	ζqq	ζqq	X
ejpam-5994	182	170	˙	˙	NOUN
ejpam-5994	182	171	*	*	SYM
ejpam-5994	182	172	˚	˚	PROPN
ejpam-5994	182	173	1	1	NUM
ejpam-5994	182	174	wµpκm	wµpκm	NOUN
ejpam-5994	182	175	,	,	PUNCT
ejpam-5994	182	176	κm`1	κm`1	PROPN
ejpam-5994	182	177	,	,	PUNCT
ejpam-5994	182	178	ζq	ζq	ADP
ejpam-5994	182	179	ě	ě	PRON
ejpam-5994	182	180	min	min	NOUN
ejpam-5994	182	181	"	"	PUNCT
ejpam-5994	182	182	wµ	wµ	ADV
ejpam-5994	182	183	ˆ	ˆ	PROPN
ejpam-5994	182	184	κm	κm	NOUN
ejpam-5994	182	185	,	,	PUNCT
ejpam-5994	182	186	κm`1	κm`1	PROPN
ejpam-5994	182	187	,	,	PUNCT
ejpam-5994	182	188	ζ	ζ	NOUN
ejpam-5994	182	189	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	182	190	,	,	PUNCT
ejpam-5994	182	191	ζqq	ζqq	X
ejpam-5994	182	192	˙	˙	NOUN
ejpam-5994	182	193	,	,	PUNCT
ejpam-5994	182	194	wµ	wµ	ADP
ejpam-5994	182	195	ˆ	ˆ	ADV
ejpam-5994	182	196	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	182	197	,	,	PUNCT
ejpam-5994	182	198	ζ	ζ	NOUN
ejpam-5994	182	199	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	182	200	,	,	PUNCT
ejpam-5994	182	201	ζqq	ζqq	X
ejpam-5994	182	202	˙	˙	NOUN
ejpam-5994	182	203	*	*	PUNCT
ejpam-5994	182	204	.(3.11	.(3.11	PUNCT
ejpam-5994	182	205	)	)	PUNCT
ejpam-5994	183	1	k.	k.	PROPN
ejpam-5994	183	2	abodayeh	abodayeh	PROPN
ejpam-5994	183	3	et	et	PROPN
ejpam-5994	183	4	al	al	PROPN
ejpam-5994	183	5	.	.	PUNCT
ejpam-5994	183	6	/	/	SYM
ejpam-5994	183	7	eur	eur	PROPN
ejpam-5994	183	8	.	.	PUNCT
ejpam-5994	184	1	j.	j.	PROPN
ejpam-5994	184	2	pure	pure	PROPN
ejpam-5994	184	3	appl	appl	PROPN
ejpam-5994	184	4	.	.	PROPN
ejpam-5994	184	5	math	math	PROPN
ejpam-5994	184	6	,	,	PUNCT
ejpam-5994	184	7	18	18	NUM
ejpam-5994	184	8	(	(	PUNCT
ejpam-5994	184	9	2	2	NUM
ejpam-5994	184	10	)	)	PUNCT
ejpam-5994	184	11	(	(	PUNCT
ejpam-5994	184	12	2025	2025	NUM
ejpam-5994	184	13	)	)	PUNCT
ejpam-5994	184	14	,	,	PUNCT
ejpam-5994	184	15	5994	5994	NUM
ejpam-5994	184	16	13	13	NUM
ejpam-5994	184	17	of	of	ADP
ejpam-5994	184	18	22	22	NUM
ejpam-5994	184	19	if	if	SCONJ
ejpam-5994	184	20	min	min	NOUN
ejpam-5994	184	21	"	"	PUNCT
ejpam-5994	184	22	wµ	wµ	ADV
ejpam-5994	184	23	ˆ	ˆ	PROPN
ejpam-5994	184	24	κm	κm	NOUN
ejpam-5994	184	25	,	,	PUNCT
ejpam-5994	184	26	κm`1	κm`1	PROPN
ejpam-5994	184	27	,	,	PUNCT
ejpam-5994	184	28	ζ	ζ	NOUN
ejpam-5994	184	29	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	184	30	,	,	PUNCT
ejpam-5994	184	31	ζqq	ζqq	X
ejpam-5994	184	32	˙	˙	NOUN
ejpam-5994	184	33	,	,	PUNCT
ejpam-5994	184	34	wµ	wµ	ADP
ejpam-5994	184	35	ˆ	ˆ	ADV
ejpam-5994	184	36	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	184	37	,	,	PUNCT
ejpam-5994	184	38	ζ	ζ	NOUN
ejpam-5994	184	39	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	184	40	,	,	PUNCT
ejpam-5994	184	41	ζqq	ζqq	X
ejpam-5994	184	42	˙	˙	NOUN
ejpam-5994	184	43	*	*	PUNCT
ejpam-5994	184	44	“	"	PUNCT
ejpam-5994	184	45	wµ	wµ	ADP
ejpam-5994	184	46	ˆ	ˆ	PROPN
ejpam-5994	184	47	κm	κm	NOUN
ejpam-5994	184	48	,	,	PUNCT
ejpam-5994	184	49	κm`1	κm`1	PROPN
ejpam-5994	184	50	,	,	PUNCT
ejpam-5994	184	51	ζ	ζ	NOUN
ejpam-5994	184	52	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	184	53	,	,	PUNCT
ejpam-5994	184	54	ζqq	ζqq	X
ejpam-5994	184	55	˙	˙	NOUN
ejpam-5994	184	56	.	.	PUNCT
ejpam-5994	185	1	inequality	inequality	NOUN
ejpam-5994	185	2	(	(	PUNCT
ejpam-5994	185	3	3.11	3.11	NUM
ejpam-5994	185	4	)	)	PUNCT
ejpam-5994	185	5	implies	imply	VERB
ejpam-5994	185	6	that	that	SCONJ
ejpam-5994	185	7	wµpκm	wµpκm	NOUN
ejpam-5994	185	8	,	,	PUNCT
ejpam-5994	185	9	κm`1	κm`1	PROPN
ejpam-5994	185	10	,	,	PUNCT
ejpam-5994	185	11	ζq	ζq	VERB
ejpam-5994	185	12	ě	ě	X
ejpam-5994	185	13	wµ	wµ	ADP
ejpam-5994	185	14	ˆ	ˆ	PROPN
ejpam-5994	185	15	κm	κm	NOUN
ejpam-5994	185	16	,	,	PUNCT
ejpam-5994	185	17	κm`1	κm`1	PROPN
ejpam-5994	185	18	,	,	PUNCT
ejpam-5994	185	19	ζ	ζ	NOUN
ejpam-5994	185	20	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	185	21	,	,	PUNCT
ejpam-5994	185	22	ζqq	ζqq	X
ejpam-5994	185	23	˙	˙	NOUN
ejpam-5994	185	24	.	.	PUNCT
ejpam-5994	186	1	the	the	DET
ejpam-5994	186	2	remaining	remain	VERB
ejpam-5994	186	3	portion	portion	NOUN
ejpam-5994	186	4	of	of	ADP
ejpam-5994	186	5	the	the	DET
ejpam-5994	186	6	proof	proof	NOUN
ejpam-5994	186	7	follows	follow	VERB
ejpam-5994	186	8	from	from	ADP
ejpam-5994	186	9	lemma	lemma	PROPN
ejpam-5994	186	10	1	1	NUM
ejpam-5994	186	11	.	.	PUNCT
ejpam-5994	187	1	if	if	SCONJ
ejpam-5994	187	2	min	min	NOUN
ejpam-5994	187	3	"	"	PUNCT
ejpam-5994	187	4	wµ	wµ	ADV
ejpam-5994	187	5	ˆ	ˆ	PROPN
ejpam-5994	187	6	κm	κm	NOUN
ejpam-5994	187	7	,	,	PUNCT
ejpam-5994	187	8	κm`1	κm`1	PROPN
ejpam-5994	187	9	,	,	PUNCT
ejpam-5994	187	10	ζ	ζ	NOUN
ejpam-5994	187	11	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	187	12	,	,	PUNCT
ejpam-5994	187	13	ζqq	ζqq	X
ejpam-5994	187	14	˙	˙	NOUN
ejpam-5994	187	15	,	,	PUNCT
ejpam-5994	187	16	wµ	wµ	ADP
ejpam-5994	187	17	ˆ	ˆ	ADV
ejpam-5994	187	18	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	187	19	,	,	PUNCT
ejpam-5994	187	20	ζ	ζ	NOUN
ejpam-5994	187	21	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	187	22	,	,	PUNCT
ejpam-5994	187	23	ζqq	ζqq	X
ejpam-5994	187	24	˙	˙	NOUN
ejpam-5994	187	25	*	*	PUNCT
ejpam-5994	187	26	“	"	PUNCT
ejpam-5994	187	27	wµ	wµ	ADP
ejpam-5994	187	28	ˆ	ˆ	ADV
ejpam-5994	187	29	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	187	30	,	,	PUNCT
ejpam-5994	187	31	ζ	ζ	NOUN
ejpam-5994	187	32	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	187	33	,	,	PUNCT
ejpam-5994	187	34	ζqq	ζqq	X
ejpam-5994	187	35	˙	˙	NOUN
ejpam-5994	187	36	,	,	PUNCT
ejpam-5994	187	37	then	then	ADV
ejpam-5994	187	38	from	from	ADP
ejpam-5994	187	39	inequality	inequality	NOUN
ejpam-5994	187	40	(	(	PUNCT
ejpam-5994	187	41	3.8	3.8	NUM
ejpam-5994	187	42	)	)	PUNCT
ejpam-5994	187	43	,	,	PUNCT
ejpam-5994	187	44	we	we	PRON
ejpam-5994	187	45	have	have	VERB
ejpam-5994	187	46	wµpκm	wµpκm	NOUN
ejpam-5994	187	47	,	,	PUNCT
ejpam-5994	187	48	κm`1	κm`1	PROPN
ejpam-5994	187	49	,	,	PUNCT
ejpam-5994	187	50	ζq	ζq	VERB
ejpam-5994	187	51	ě	ě	NOUN
ejpam-5994	187	52	wµ	wµ	ADP
ejpam-5994	187	53	ˆ	ˆ	ADV
ejpam-5994	187	54	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	187	55	,	,	PUNCT
ejpam-5994	187	56	ζ	ζ	NOUN
ejpam-5994	187	57	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	187	58	,	,	PUNCT
ejpam-5994	187	59	ζqq	ζqq	X
ejpam-5994	187	60	˙	˙	ADJ
ejpam-5994	187	61	ě	ě	X
ejpam-5994	187	62	wµ	wµ	NOUN
ejpam-5994	187	63	ˆ	ˆ	ADJ
ejpam-5994	187	64	κm´2,κm´1	κm´2,κm´1	NOUN
ejpam-5994	187	65	,	,	PUNCT
ejpam-5994	187	66	ζ	ζ	NOUN
ejpam-5994	187	67	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	187	68	,	,	PUNCT
ejpam-5994	187	69	ζqqβpwµpκm´2,κm´1	ζqqβpwµpκm´2,κm´1	NOUN
ejpam-5994	187	70	,	,	PUNCT
ejpam-5994	187	71	ζqq	ζqq	X
ejpam-5994	187	72	˙	˙	NOUN
ejpam-5994	187	73	...	...	PUNCT
ejpam-5994	188	1	ě	ě	X
ejpam-5994	188	2	wµ	wµ	ADP
ejpam-5994	188	3	ˆ	ˆ	NOUN
ejpam-5994	188	4	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	188	5	,	,	PUNCT
ejpam-5994	188	6	ζ	ζ	NOUN
ejpam-5994	188	7	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	188	8	,	,	PUNCT
ejpam-5994	188	9	ζqqβpwµpκm´2,κm´1	ζqqβpwµpκm´2,κm´1	NOUN
ejpam-5994	188	10	,	,	PUNCT
ejpam-5994	188	11	ζqq	ζqq	PRON
ejpam-5994	188	12	.	.	PUNCT
ejpam-5994	188	13	.	.	PUNCT
ejpam-5994	188	14	.	.	PUNCT
ejpam-5994	189	1	βpwµpκ0,κ1	βpwµpκ0,κ1	PROPN
ejpam-5994	189	2	,	,	PUNCT
ejpam-5994	189	3	ζqq	ζqq	X
ejpam-5994	189	4	˙	˙	NOUN
ejpam-5994	189	5	.	.	PUNCT
ejpam-5994	190	1	using	use	VERB
ejpam-5994	190	2	the	the	DET
ejpam-5994	190	3	identical	identical	ADJ
ejpam-5994	190	4	process	process	NOUN
ejpam-5994	190	5	as	as	SCONJ
ejpam-5994	190	6	applied	apply	VERB
ejpam-5994	190	7	in	in	ADP
ejpam-5994	190	8	theorem	theorem	NOUN
ejpam-5994	190	9	2	2	NUM
ejpam-5994	190	10	following	follow	VERB
ejpam-5994	190	11	the	the	DET
ejpam-5994	190	12	inequality	inequality	NOUN
ejpam-5994	190	13	(	(	PUNCT
ejpam-5994	190	14	3.4	3.4	NUM
ejpam-5994	190	15	)	)	PUNCT
ejpam-5994	190	16	,	,	PUNCT
ejpam-5994	190	17	we	we	PRON
ejpam-5994	190	18	can	can	AUX
ejpam-5994	190	19	show	show	VERB
ejpam-5994	190	20	the	the	DET
ejpam-5994	190	21	existence	existence	NOUN
ejpam-5994	190	22	and	and	CCONJ
ejpam-5994	190	23	uniqueness	uniqueness	NOUN
ejpam-5994	190	24	of	of	ADP
ejpam-5994	190	25	fixed	fix	VERB
ejpam-5994	190	26	point	point	NOUN
ejpam-5994	190	27	.	.	PUNCT
ejpam-5994	191	1	theorem	theorem	ADJ
ejpam-5994	191	2	6	6	NUM
ejpam-5994	191	3	.	.	PUNCT
ejpam-5994	192	1	let	let	VERB
ejpam-5994	192	2	ps	ps	PROPN
ejpam-5994	192	3	,	,	PUNCT
ejpam-5994	192	4	wu	wu	PROPN
ejpam-5994	192	5	,	,	PUNCT
ejpam-5994	192	6	˚	˚	PROPN
ejpam-5994	192	7	,	,	PUNCT
ejpam-5994	192	8	α	α	PROPN
ejpam-5994	192	9	,	,	PUNCT
ejpam-5994	192	10	µq	µq	PART
ejpam-5994	192	11	be	be	AUX
ejpam-5994	192	12	a	a	DET
ejpam-5994	192	13	g	g	NOUN
ejpam-5994	192	14	-	-	PUNCT
ejpam-5994	192	15	complete	complete	VERB
ejpam-5994	192	16	µefbws̃	µefbws̃	NOUN
ejpam-5994	192	17	and	and	CCONJ
ejpam-5994	192	18	b	b	NOUN
ejpam-5994	192	19	ě	ě	PROPN
ejpam-5994	192	20	1	1	NUM
ejpam-5994	192	21	.	.	PUNCT
ejpam-5994	193	1	let	let	VERB
ejpam-5994	193	2	g	g	PRON
ejpam-5994	193	3	be	be	AUX
ejpam-5994	193	4	a	a	DET
ejpam-5994	193	5	self	self	NOUN
ejpam-5994	193	6	mapping	mapping	NOUN
ejpam-5994	193	7	satisfying	satisfying	ADJ
ejpam-5994	193	8	wµpgκ1	wµpgκ1	NOUN
ejpam-5994	193	9	,	,	PUNCT
ejpam-5994	193	10	gκ2	gκ2	VERB
ejpam-5994	193	11	,	,	PUNCT
ejpam-5994	193	12	βpwµpκ1,κ2	βpwµpκ1,κ2	ADV
ejpam-5994	193	13	,	,	PUNCT
ejpam-5994	193	14	ζqqζq	ζqqζq	ADJ
ejpam-5994	193	15	ě	ě	PRON
ejpam-5994	193	16	λ	λ	X
ejpam-5994	193	17	`	`	PUNCT
ejpam-5994	193	18	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	193	19	,	,	PUNCT
ejpam-5994	193	20	ζ	ζ	PROPN
ejpam-5994	193	21	˘	˘	PROPN
ejpam-5994	193	22	˚	˚	PROPN
ejpam-5994	193	23	γ	γ	X
ejpam-5994	193	24	`	`	PUNCT
ejpam-5994	193	25	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	193	26	,	,	PUNCT
ejpam-5994	193	27	ζ	ζ	PROPN
ejpam-5994	193	28	˘	˘	PROPN
ejpam-5994	193	29	η	η	PROPN
ejpam-5994	193	30	`	`	PUNCT
ejpam-5994	193	31	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	193	32	,	,	PUNCT
ejpam-5994	193	33	ζ	ζ	NOUN
ejpam-5994	193	34	˘	˘	NOUN
ejpam-5994	193	35	,	,	PUNCT
ejpam-5994	193	36	where	where	SCONJ
ejpam-5994	193	37	λ	λ	PROPN
ejpam-5994	193	38	`	`	PUNCT
ejpam-5994	193	39	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	193	40	,	,	PUNCT
ejpam-5994	193	41	ζ	ζ	PROPN
ejpam-5994	193	42	˘	˘	NUM
ejpam-5994	193	43	“	"	PUNCT
ejpam-5994	193	44	min	min	NOUN
ejpam-5994	193	45	"	"	PUNCT
ejpam-5994	193	46	wµpgκ1	wµpgκ1	PROPN
ejpam-5994	193	47	,	,	PUNCT
ejpam-5994	193	48	gκ2	gκ2	NOUN
ejpam-5994	193	49	,	,	PUNCT
ejpam-5994	193	50	ζqwµpκ1,κ2	ζqwµpκ1,κ2	NOUN
ejpam-5994	193	51	,	,	PUNCT
ejpam-5994	193	52	ζq	ζq	NOUN
ejpam-5994	193	53	,	,	PUNCT
ejpam-5994	193	54	wµpκ1	wµpκ1	PROPN
ejpam-5994	193	55	,	,	PUNCT
ejpam-5994	193	56	gκ1	gκ1	NOUN
ejpam-5994	193	57	,	,	PUNCT
ejpam-5994	193	58	ζqwµpκ2	ζqwµpκ2	PROPN
ejpam-5994	193	59	,	,	PUNCT
ejpam-5994	193	60	gκ2	gκ2	VERB
ejpam-5994	193	61	,	,	PUNCT
ejpam-5994	193	62	ζq	ζq	ADP
ejpam-5994	193	63	*	*	PUNCT
ejpam-5994	193	64	γ	γ	X
ejpam-5994	193	65	`	`	PUNCT
ejpam-5994	193	66	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	193	67	,	,	PUNCT
ejpam-5994	193	68	ζ	ζ	PROPN
ejpam-5994	193	69	˘	˘	NUM
ejpam-5994	193	70	“	"	PUNCT
ejpam-5994	193	71	max	max	PROPN
ejpam-5994	193	72	"	"	PUNCT
ejpam-5994	193	73	wµpκ1	wµpκ1	PROPN
ejpam-5994	193	74	,	,	PUNCT
ejpam-5994	193	75	gκ1	gκ1	NOUN
ejpam-5994	193	76	,	,	PUNCT
ejpam-5994	193	77	ζqwµpκ1	ζqwµpκ1	PROPN
ejpam-5994	193	78	,	,	PUNCT
ejpam-5994	193	79	gκ2	gκ2	NOUN
ejpam-5994	193	80	,	,	PUNCT
ejpam-5994	193	81	ζq	ζq	NOUN
ejpam-5994	193	82	,	,	PUNCT
ejpam-5994	193	83	pwµpκ2	pwµpκ2	NOUN
ejpam-5994	193	84	,	,	PUNCT
ejpam-5994	193	85	gκ1	gκ1	NOUN
ejpam-5994	193	86	,	,	PUNCT
ejpam-5994	193	87	ζqq2	ζqq2	PROPN
ejpam-5994	193	88	*	*	PUNCT
ejpam-5994	194	1	k.	k.	PROPN
ejpam-5994	194	2	abodayeh	abodayeh	PROPN
ejpam-5994	194	3	et	et	PROPN
ejpam-5994	194	4	al	al	PROPN
ejpam-5994	194	5	.	.	PUNCT
ejpam-5994	194	6	/	/	SYM
ejpam-5994	194	7	eur	eur	PROPN
ejpam-5994	194	8	.	.	PUNCT
ejpam-5994	195	1	j.	j.	PROPN
ejpam-5994	195	2	pure	pure	PROPN
ejpam-5994	195	3	appl	appl	PROPN
ejpam-5994	195	4	.	.	PROPN
ejpam-5994	195	5	math	math	PROPN
ejpam-5994	195	6	,	,	PUNCT
ejpam-5994	195	7	18	18	NUM
ejpam-5994	195	8	(	(	PUNCT
ejpam-5994	195	9	2	2	NUM
ejpam-5994	195	10	)	)	PUNCT
ejpam-5994	195	11	(	(	PUNCT
ejpam-5994	195	12	2025	2025	NUM
ejpam-5994	195	13	)	)	PUNCT
ejpam-5994	195	14	,	,	PUNCT
ejpam-5994	195	15	5994	5994	NUM
ejpam-5994	195	16	14	14	NUM
ejpam-5994	195	17	of	of	ADP
ejpam-5994	195	18	22	22	NUM
ejpam-5994	195	19	η	η	PROPN
ejpam-5994	195	20	`	`	PUNCT
ejpam-5994	195	21	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	195	22	,	,	PUNCT
ejpam-5994	195	23	ζ	ζ	PROPN
ejpam-5994	195	24	˘	˘	NUM
ejpam-5994	195	25	“	"	PUNCT
ejpam-5994	195	26	max	max	PROPN
ejpam-5994	195	27	"	"	PUNCT
ejpam-5994	195	28	wµpκ1	wµpκ1	PROPN
ejpam-5994	195	29	,	,	PUNCT
ejpam-5994	195	30	gκ1	gκ1	NOUN
ejpam-5994	195	31	,	,	PUNCT
ejpam-5994	195	32	ζq	ζq	NOUN
ejpam-5994	195	33	,	,	PUNCT
ejpam-5994	195	34	wµpκ2	wµpκ2	NOUN
ejpam-5994	195	35	,	,	PUNCT
ejpam-5994	195	36	gκ2	gκ2	VERB
ejpam-5994	195	37	,	,	PUNCT
ejpam-5994	195	38	ζq	ζq	ADP
ejpam-5994	195	39	*	*	PUNCT
ejpam-5994	195	40	.	.	PUNCT
ejpam-5994	196	1	for	for	ADP
ejpam-5994	196	2	all	all	DET
ejpam-5994	196	3	κ1,κ2	κ1,κ2	PROPN
ejpam-5994	196	4	p	p	X
ejpam-5994	196	5	s	s	PROPN
ejpam-5994	196	6	,	,	PUNCT
ejpam-5994	196	7	with	with	ADP
ejpam-5994	196	8	β	β	X
ejpam-5994	196	9	p	p	X
ejpam-5994	196	10	fb	fb	INTJ
ejpam-5994	196	11	.	.	PUNCT
ejpam-5994	197	1	then	then	ADV
ejpam-5994	197	2	g	g	PROPN
ejpam-5994	197	3	has	have	VERB
ejpam-5994	197	4	a	a	DET
ejpam-5994	197	5	unique	unique	ADJ
ejpam-5994	197	6	fixed	fix	VERB
ejpam-5994	197	7	point	point	NOUN
ejpam-5994	197	8	.	.	PUNCT
ejpam-5994	198	1	proof	proof	NOUN
ejpam-5994	198	2	.	.	PUNCT
ejpam-5994	199	1	by	by	ADP
ejpam-5994	199	2	utilizing	utilize	VERB
ejpam-5994	199	3	the	the	DET
ejpam-5994	199	4	identical	identical	ADJ
ejpam-5994	199	5	method	method	NOUN
ejpam-5994	199	6	as	as	SCONJ
ejpam-5994	199	7	outlined	outline	VERB
ejpam-5994	199	8	in	in	ADP
ejpam-5994	199	9	the	the	DET
ejpam-5994	199	10	previous	previous	ADJ
ejpam-5994	199	11	theorems	theorem	NOUN
ejpam-5994	199	12	,	,	PUNCT
ejpam-5994	199	13	we	we	PRON
ejpam-5994	199	14	arrive	arrive	VERB
ejpam-5994	199	15	at	at	ADP
ejpam-5994	199	16	the	the	DET
ejpam-5994	199	17	same	same	ADJ
ejpam-5994	199	18	result	result	NOUN
ejpam-5994	199	19	.	.	PUNCT
ejpam-5994	200	1	wµpκm	wµpκm	NOUN
ejpam-5994	200	2	,	,	PUNCT
ejpam-5994	200	3	κm`1	κm`1	PROPN
ejpam-5994	200	4	,	,	PUNCT
ejpam-5994	200	5	ζq	ζq	ADP
ejpam-5994	200	6	“	"	PUNCT
ejpam-5994	200	7	wµpgκm´1	wµpgκm´1	NOUN
ejpam-5994	200	8	,	,	PUNCT
ejpam-5994	200	9	gκm	gκm	PRON
ejpam-5994	200	10	,	,	PUNCT
ejpam-5994	200	11	ζq	ζq	ADP
ejpam-5994	200	12	ě	ě	X
ejpam-5994	200	13	λ	λ	PROPN
ejpam-5994	200	14	ˆ	ˆ	NOUN
ejpam-5994	200	15	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	200	16	,	,	PUNCT
ejpam-5994	200	17	ζ	ζ	NOUN
ejpam-5994	200	18	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	200	19	,	,	PUNCT
ejpam-5994	200	20	ζqq	ζqq	X
ejpam-5994	200	21	˙	˙	NOUN
ejpam-5994	200	22	˚	˚	PROPN
ejpam-5994	200	23	γ	γ	PROPN
ejpam-5994	200	24	ˆ	ˆ	ADP
ejpam-5994	200	25	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	200	26	,	,	PUNCT
ejpam-5994	200	27	ζ	ζ	NOUN
ejpam-5994	200	28	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	200	29	,	,	PUNCT
ejpam-5994	200	30	ζqq	ζqq	X
ejpam-5994	200	31	˙	˙	ADJ
ejpam-5994	200	32	η	η	PROPN
ejpam-5994	200	33	ˆ	ˆ	X
ejpam-5994	200	34	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	200	35	,	,	PUNCT
ejpam-5994	200	36	ζ	ζ	NOUN
ejpam-5994	200	37	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	200	38	,	,	PUNCT
ejpam-5994	200	39	ζqq	ζqq	X
ejpam-5994	200	40	˙	˙	NOUN
ejpam-5994	200	41	.	.	PUNCT
ejpam-5994	201	1	(	(	PUNCT
ejpam-5994	201	2	3.12	3.12	NUM
ejpam-5994	201	3	)	)	PUNCT
ejpam-5994	201	4	now	now	ADV
ejpam-5994	201	5	λ	λ	X
ejpam-5994	201	6	ˆ	ˆ	NOUN
ejpam-5994	201	7	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	201	8	,	,	PUNCT
ejpam-5994	201	9	ζ	ζ	NOUN
ejpam-5994	201	10	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	201	11	,	,	PUNCT
ejpam-5994	201	12	ζqq	ζqq	X
ejpam-5994	201	13	˙	˙	X
ejpam-5994	201	14	“	"	PUNCT
ejpam-5994	201	15	min	min	NOUN
ejpam-5994	201	16	"	"	PUNCT
ejpam-5994	201	17	wµ	wµ	ADP
ejpam-5994	201	18	ˆ	ˆ	ADJ
ejpam-5994	201	19	gxm´1	gxm´1	PROPN
ejpam-5994	201	20	,	,	PUNCT
ejpam-5994	201	21	gκm	gκm	PRON
ejpam-5994	201	22	,	,	PUNCT
ejpam-5994	201	23	ζ	ζ	NOUN
ejpam-5994	201	24	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	201	25	,	,	PUNCT
ejpam-5994	201	26	ζqq	ζqq	X
ejpam-5994	201	27	˙	˙	NOUN
ejpam-5994	202	1	wµ	wµ	ADP
ejpam-5994	202	2	ˆ	ˆ	ADV
ejpam-5994	202	3	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	202	4	,	,	PUNCT
ejpam-5994	202	5	ζ	ζ	NOUN
ejpam-5994	202	6	βpwµpxm´1,κm	βpwµpxm´1,κm	NOUN
ejpam-5994	202	7	,	,	PUNCT
ejpam-5994	202	8	ζqq	ζqq	X
ejpam-5994	202	9	˙	˙	NOUN
ejpam-5994	202	10	,	,	PUNCT
ejpam-5994	202	11	wµ	wµ	ADV
ejpam-5994	202	12	ˆ	ˆ	X
ejpam-5994	202	13	κm´1	κm´1	PROPN
ejpam-5994	202	14	,	,	PUNCT
ejpam-5994	202	15	gκm´1	gκm´1	PROPN
ejpam-5994	202	16	,	,	PUNCT
ejpam-5994	202	17	ζ	ζ	NOUN
ejpam-5994	202	18	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	202	19	,	,	PUNCT
ejpam-5994	202	20	ζqq	ζqq	X
ejpam-5994	202	21	˙	˙	NOUN
ejpam-5994	203	1	wµ	wµ	ADP
ejpam-5994	203	2	ˆ	ˆ	PROPN
ejpam-5994	203	3	κm	κm	PROPN
ejpam-5994	203	4	,	,	PUNCT
ejpam-5994	203	5	gκm	gκm	PRON
ejpam-5994	203	6	,	,	PUNCT
ejpam-5994	203	7	ζ	ζ	NOUN
ejpam-5994	203	8	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	203	9	,	,	PUNCT
ejpam-5994	203	10	ζqq	ζqq	X
ejpam-5994	203	11	˙	˙	NOUN
ejpam-5994	203	12	*	*	PUNCT
ejpam-5994	203	13	“	"	PUNCT
ejpam-5994	203	14	min	min	NOUN
ejpam-5994	203	15	"	"	PUNCT
ejpam-5994	203	16	wµ	wµ	ADV
ejpam-5994	203	17	ˆ	ˆ	PROPN
ejpam-5994	203	18	κm	κm	NOUN
ejpam-5994	203	19	,	,	PUNCT
ejpam-5994	203	20	κm`1	κm`1	PROPN
ejpam-5994	203	21	,	,	PUNCT
ejpam-5994	203	22	ζ	ζ	NOUN
ejpam-5994	203	23	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	203	24	,	,	PUNCT
ejpam-5994	203	25	ζqq	ζqq	X
ejpam-5994	203	26	˙	˙	NOUN
ejpam-5994	204	1	wµ	wµ	ADP
ejpam-5994	204	2	ˆ	ˆ	ADV
ejpam-5994	204	3	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	204	4	,	,	PUNCT
ejpam-5994	204	5	ζ	ζ	NOUN
ejpam-5994	204	6	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	204	7	,	,	PUNCT
ejpam-5994	204	8	ζqq	ζqq	X
ejpam-5994	204	9	˙	˙	NOUN
ejpam-5994	204	10	,	,	PUNCT
ejpam-5994	204	11	wµ	wµ	ADV
ejpam-5994	204	12	ˆ	ˆ	ADV
ejpam-5994	204	13	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	204	14	,	,	PUNCT
ejpam-5994	204	15	ζ	ζ	NOUN
ejpam-5994	204	16	βpwµpκm´1,κn	βpwµpκm´1,κn	NOUN
ejpam-5994	204	17	,	,	PUNCT
ejpam-5994	204	18	ζqq	ζqq	X
ejpam-5994	204	19	˙	˙	NOUN
ejpam-5994	204	20	wµ	wµ	ADP
ejpam-5994	204	21	ˆ	ˆ	PROPN
ejpam-5994	204	22	κm	κm	NOUN
ejpam-5994	204	23	,	,	PUNCT
ejpam-5994	204	24	κm`1	κm`1	PROPN
ejpam-5994	204	25	,	,	PUNCT
ejpam-5994	204	26	ζ	ζ	NOUN
ejpam-5994	204	27	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	204	28	,	,	PUNCT
ejpam-5994	204	29	ζqq	ζqq	X
ejpam-5994	204	30	˙	˙	NOUN
ejpam-5994	204	31	*	*	PUNCT
ejpam-5994	204	32	λ	λ	PROPN
ejpam-5994	204	33	ˆ	ˆ	NOUN
ejpam-5994	204	34	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	204	35	,	,	PUNCT
ejpam-5994	204	36	ζ	ζ	NOUN
ejpam-5994	204	37	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	204	38	,	,	PUNCT
ejpam-5994	204	39	ζqq	ζqq	X
ejpam-5994	204	40	˙	˙	X
ejpam-5994	204	41	“	"	PUNCT
ejpam-5994	204	42	wµ	wµ	ADP
ejpam-5994	204	43	ˆ	ˆ	ADV
ejpam-5994	204	44	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	204	45	,	,	PUNCT
ejpam-5994	204	46	ζ	ζ	NOUN
ejpam-5994	204	47	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	204	48	,	,	PUNCT
ejpam-5994	204	49	ζqq	ζqq	X
ejpam-5994	204	50	˙	˙	NOUN
ejpam-5994	205	1	wµ	wµ	ADP
ejpam-5994	205	2	ˆ	ˆ	PROPN
ejpam-5994	205	3	κm	κm	NOUN
ejpam-5994	205	4	,	,	PUNCT
ejpam-5994	205	5	κm`1	κm`1	PROPN
ejpam-5994	205	6	,	,	PUNCT
ejpam-5994	205	7	ζ	ζ	NOUN
ejpam-5994	205	8	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	205	9	,	,	PUNCT
ejpam-5994	205	10	ζqq	ζqq	X
ejpam-5994	205	11	˙	˙	NOUN
ejpam-5994	205	12	.	.	PUNCT
ejpam-5994	206	1	(	(	PUNCT
ejpam-5994	206	2	3.13	3.13	NUM
ejpam-5994	206	3	)	)	PUNCT
ejpam-5994	206	4	γ	γ	PROPN
ejpam-5994	206	5	ˆ	ˆ	X
ejpam-5994	206	6	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	206	7	,	,	PUNCT
ejpam-5994	206	8	ζ	ζ	NOUN
ejpam-5994	206	9	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	206	10	,	,	PUNCT
ejpam-5994	206	11	ζqq	ζqq	X
ejpam-5994	206	12	˙	˙	X
ejpam-5994	206	13	“	"	PUNCT
ejpam-5994	206	14	max	max	PROPN
ejpam-5994	206	15	"	"	PUNCT
ejpam-5994	206	16	wµ	wµ	ADP
ejpam-5994	206	17	ˆ	ˆ	X
ejpam-5994	206	18	κm´1	κm´1	PROPN
ejpam-5994	206	19	,	,	PUNCT
ejpam-5994	206	20	gκm´1	gκm´1	PROPN
ejpam-5994	206	21	,	,	PUNCT
ejpam-5994	206	22	ζ	ζ	NOUN
ejpam-5994	206	23	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	206	24	,	,	PUNCT
ejpam-5994	206	25	ζqq	ζqq	X
ejpam-5994	206	26	˙	˙	NOUN
ejpam-5994	206	27	wµ	wµ	ADP
ejpam-5994	206	28	ˆ	ˆ	PROPN
ejpam-5994	206	29	κm´1	κm´1	PROPN
ejpam-5994	206	30	,	,	PUNCT
ejpam-5994	206	31	gκm	gκm	PROPN
ejpam-5994	206	32	,	,	PUNCT
ejpam-5994	206	33	ζ	ζ	NOUN
ejpam-5994	206	34	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	206	35	,	,	PUNCT
ejpam-5994	206	36	ζqq	ζqq	X
ejpam-5994	206	37	˙	˙	NOUN
ejpam-5994	206	38	,	,	PUNCT
ejpam-5994	206	39	ˆ	ˆ	PROPN
ejpam-5994	206	40	wµ	wµ	ADP
ejpam-5994	206	41	ˆ	ˆ	ADJ
ejpam-5994	206	42	κm	κm	NOUN
ejpam-5994	206	43	,	,	PUNCT
ejpam-5994	206	44	gκm´1	gκm´1	PROPN
ejpam-5994	206	45	,	,	PUNCT
ejpam-5994	206	46	ζ	ζ	NOUN
ejpam-5994	206	47	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	206	48	,	,	PUNCT
ejpam-5994	206	49	ζqq	ζqq	ADP
ejpam-5994	206	50	˙˙2	˙˙2	PROPN
ejpam-5994	206	51	*	*	PUNCT
ejpam-5994	206	52	“	"	PUNCT
ejpam-5994	206	53	max	max	PROPN
ejpam-5994	206	54	"	"	PUNCT
ejpam-5994	206	55	wµ	wµ	ADP
ejpam-5994	206	56	ˆ	ˆ	ADV
ejpam-5994	206	57	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	206	58	,	,	PUNCT
ejpam-5994	206	59	ζ	ζ	NOUN
ejpam-5994	206	60	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	206	61	,	,	PUNCT
ejpam-5994	206	62	ζqq	ζqq	X
ejpam-5994	206	63	˙	˙	NOUN
ejpam-5994	206	64	wµ	wµ	ADP
ejpam-5994	206	65	ˆ	ˆ	ADP
ejpam-5994	206	66	κm´1,κm`1	κm´1,κm`1	NUM
ejpam-5994	206	67	,	,	PUNCT
ejpam-5994	206	68	ζ	ζ	NOUN
ejpam-5994	206	69	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	206	70	,	,	PUNCT
ejpam-5994	206	71	ζqq	ζqq	X
ejpam-5994	206	72	˙	˙	NOUN
ejpam-5994	206	73	,	,	PUNCT
ejpam-5994	206	74	ˆ	ˆ	PROPN
ejpam-5994	206	75	wµ	wµ	ADP
ejpam-5994	206	76	ˆ	ˆ	NOUN
ejpam-5994	206	77	κm	κm	PROPN
ejpam-5994	206	78	,	,	PUNCT
ejpam-5994	206	79	κm	κm	PROPN
ejpam-5994	206	80	,	,	PUNCT
ejpam-5994	206	81	ζ	ζ	NOUN
ejpam-5994	206	82	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	206	83	,	,	PUNCT
ejpam-5994	206	84	ζqq	ζqq	ADP
ejpam-5994	206	85	˙˙2	˙˙2	PROPN
ejpam-5994	206	86	*	*	PROPN
ejpam-5994	206	87	k.	k.	PROPN
ejpam-5994	206	88	abodayeh	abodayeh	PROPN
ejpam-5994	206	89	et	et	PROPN
ejpam-5994	206	90	al	al	PROPN
ejpam-5994	206	91	.	.	PUNCT
ejpam-5994	206	92	/	/	SYM
ejpam-5994	206	93	eur	eur	PROPN
ejpam-5994	206	94	.	.	PUNCT
ejpam-5994	207	1	j.	j.	PROPN
ejpam-5994	207	2	pure	pure	PROPN
ejpam-5994	207	3	appl	appl	PROPN
ejpam-5994	207	4	.	.	PROPN
ejpam-5994	207	5	math	math	PROPN
ejpam-5994	207	6	,	,	PUNCT
ejpam-5994	207	7	18	18	NUM
ejpam-5994	207	8	(	(	PUNCT
ejpam-5994	207	9	2	2	NUM
ejpam-5994	207	10	)	)	PUNCT
ejpam-5994	207	11	(	(	PUNCT
ejpam-5994	207	12	2025	2025	NUM
ejpam-5994	207	13	)	)	PUNCT
ejpam-5994	207	14	,	,	PUNCT
ejpam-5994	207	15	5994	5994	NUM
ejpam-5994	207	16	15	15	NUM
ejpam-5994	207	17	of	of	ADP
ejpam-5994	207	18	22	22	NUM
ejpam-5994	207	19	“	"	PUNCT
ejpam-5994	207	20	max	max	PROPN
ejpam-5994	207	21	"	"	PUNCT
ejpam-5994	207	22	wµ	wµ	ADP
ejpam-5994	207	23	ˆ	ˆ	ADV
ejpam-5994	207	24	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	207	25	,	,	PUNCT
ejpam-5994	207	26	ζ	ζ	NOUN
ejpam-5994	207	27	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	207	28	,	,	PUNCT
ejpam-5994	207	29	ζqq	ζqq	X
ejpam-5994	207	30	˙	˙	NOUN
ejpam-5994	208	1	wµ	wµ	ADP
ejpam-5994	208	2	ˆ	ˆ	ADP
ejpam-5994	208	3	κm´1,κm`1	κm´1,κm`1	NUM
ejpam-5994	208	4	,	,	PUNCT
ejpam-5994	208	5	ζ	ζ	NOUN
ejpam-5994	208	6	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	208	7	,	,	PUNCT
ejpam-5994	208	8	ζqq	ζqq	X
ejpam-5994	208	9	˙	˙	NOUN
ejpam-5994	208	10	,	,	PUNCT
ejpam-5994	208	11	1	1	NUM
ejpam-5994	208	12	*	*	PUNCT
ejpam-5994	208	13	γ	γ	PROPN
ejpam-5994	208	14	ˆ	ˆ	X
ejpam-5994	208	15	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	208	16	,	,	PUNCT
ejpam-5994	208	17	ζ	ζ	NOUN
ejpam-5994	208	18	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	208	19	,	,	PUNCT
ejpam-5994	208	20	ζqq	ζqq	X
ejpam-5994	208	21	˙	˙	X
ejpam-5994	208	22	“	"	PUNCT
ejpam-5994	208	23	1	1	NUM
ejpam-5994	208	24	.	.	PUNCT
ejpam-5994	208	25	(	(	PUNCT
ejpam-5994	208	26	3.14	3.14	NUM
ejpam-5994	208	27	)	)	PUNCT
ejpam-5994	208	28	η	η	PROPN
ejpam-5994	208	29	ˆ	ˆ	X
ejpam-5994	208	30	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	208	31	,	,	PUNCT
ejpam-5994	208	32	ζ	ζ	NOUN
ejpam-5994	208	33	βpwµpxm´1,κm	βpwµpxm´1,κm	NOUN
ejpam-5994	208	34	,	,	PUNCT
ejpam-5994	208	35	ζqq	ζqq	X
ejpam-5994	208	36	˙	˙	X
ejpam-5994	208	37	“	"	PUNCT
ejpam-5994	208	38	max	max	PROPN
ejpam-5994	208	39	"	"	PUNCT
ejpam-5994	208	40	wµ	wµ	ADP
ejpam-5994	208	41	ˆ	ˆ	X
ejpam-5994	208	42	κm´1	κm´1	PROPN
ejpam-5994	208	43	,	,	PUNCT
ejpam-5994	208	44	gκm´1	gκm´1	PROPN
ejpam-5994	208	45	,	,	PUNCT
ejpam-5994	208	46	ζ	ζ	NOUN
ejpam-5994	208	47	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	208	48	,	,	PUNCT
ejpam-5994	208	49	ζqq	ζqq	X
ejpam-5994	208	50	˙	˙	NOUN
ejpam-5994	208	51	,	,	PUNCT
ejpam-5994	208	52	wµ	wµ	ADV
ejpam-5994	208	53	ˆ	ˆ	PROPN
ejpam-5994	208	54	κm	κm	PROPN
ejpam-5994	208	55	,	,	PUNCT
ejpam-5994	208	56	gκm	gκm	PRON
ejpam-5994	208	57	,	,	PUNCT
ejpam-5994	208	58	ζ	ζ	NOUN
ejpam-5994	208	59	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	208	60	,	,	PUNCT
ejpam-5994	208	61	ζqq	ζqq	X
ejpam-5994	208	62	˙	˙	NOUN
ejpam-5994	208	63	*	*	PUNCT
ejpam-5994	208	64	“	"	PUNCT
ejpam-5994	208	65	max	max	PROPN
ejpam-5994	208	66	"	"	PUNCT
ejpam-5994	208	67	wµ	wµ	ADP
ejpam-5994	208	68	ˆ	ˆ	ADV
ejpam-5994	208	69	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	208	70	,	,	PUNCT
ejpam-5994	208	71	ζ	ζ	NOUN
ejpam-5994	208	72	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	208	73	,	,	PUNCT
ejpam-5994	208	74	ζqq	ζqq	X
ejpam-5994	208	75	˙	˙	NOUN
ejpam-5994	208	76	,	,	PUNCT
ejpam-5994	208	77	wµ	wµ	ADV
ejpam-5994	208	78	ˆ	ˆ	NOUN
ejpam-5994	208	79	κm	κm	NOUN
ejpam-5994	208	80	,	,	PUNCT
ejpam-5994	208	81	κm`1	κm`1	PROPN
ejpam-5994	208	82	,	,	PUNCT
ejpam-5994	208	83	ζ	ζ	NOUN
ejpam-5994	208	84	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	208	85	,	,	PUNCT
ejpam-5994	208	86	ζqq	ζqq	X
ejpam-5994	208	87	˙	˙	NOUN
ejpam-5994	208	88	*	*	X
ejpam-5994	208	89	(	(	PUNCT
ejpam-5994	208	90	3.15	3.15	NUM
ejpam-5994	208	91	)	)	PUNCT
ejpam-5994	208	92	using	use	VERB
ejpam-5994	208	93	equation	equation	NOUN
ejpam-5994	208	94	(	(	PUNCT
ejpam-5994	208	95	3.13),(3.14)and	3.13),(3.14)and	NUM
ejpam-5994	208	96	(	(	PUNCT
ejpam-5994	208	97	3.15	3.15	NUM
ejpam-5994	208	98	)	)	PUNCT
ejpam-5994	208	99	in	in	ADP
ejpam-5994	208	100	equation(3.12	equation(3.12	NOUN
ejpam-5994	208	101	)	)	PUNCT
ejpam-5994	208	102	,	,	PUNCT
ejpam-5994	208	103	we	we	PRON
ejpam-5994	208	104	get	get	VERB
ejpam-5994	208	105	wµpgκm´1	wµpgκm´1	NOUN
ejpam-5994	208	106	,	,	PUNCT
ejpam-5994	208	107	gκm	gκm	PRON
ejpam-5994	208	108	,	,	PUNCT
ejpam-5994	208	109	ζq	ζq	VERB
ejpam-5994	208	110	ě	ě	NOUN
ejpam-5994	208	111	wµ	wµ	ADP
ejpam-5994	208	112	ˆ	ˆ	ADV
ejpam-5994	208	113	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	208	114	,	,	PUNCT
ejpam-5994	208	115	ζ	ζ	NOUN
ejpam-5994	208	116	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	208	117	,	,	PUNCT
ejpam-5994	208	118	ζqq	ζqq	X
ejpam-5994	208	119	˙	˙	NOUN
ejpam-5994	209	1	wµ	wµ	ADP
ejpam-5994	209	2	ˆ	ˆ	PROPN
ejpam-5994	209	3	κm	κm	NOUN
ejpam-5994	209	4	,	,	PUNCT
ejpam-5994	209	5	κm`1	κm`1	PROPN
ejpam-5994	209	6	,	,	PUNCT
ejpam-5994	209	7	ζ	ζ	NOUN
ejpam-5994	209	8	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	209	9	,	,	PUNCT
ejpam-5994	209	10	ζqq	ζqq	X
ejpam-5994	209	11	˙	˙	X
ejpam-5994	209	12	max	max	PROPN
ejpam-5994	209	13	"	"	PUNCT
ejpam-5994	209	14	wµ	wµ	ADP
ejpam-5994	209	15	ˆ	ˆ	ADV
ejpam-5994	209	16	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	209	17	,	,	PUNCT
ejpam-5994	209	18	ζ	ζ	NOUN
ejpam-5994	209	19	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	209	20	,	,	PUNCT
ejpam-5994	209	21	ζqq	ζqq	X
ejpam-5994	209	22	˙	˙	NOUN
ejpam-5994	209	23	,	,	PUNCT
ejpam-5994	209	24	wµ	wµ	ADV
ejpam-5994	209	25	ˆ	ˆ	NOUN
ejpam-5994	209	26	κm	κm	NOUN
ejpam-5994	209	27	,	,	PUNCT
ejpam-5994	209	28	κm`1	κm`1	PROPN
ejpam-5994	209	29	,	,	PUNCT
ejpam-5994	209	30	ζ	ζ	NOUN
ejpam-5994	209	31	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	209	32	,	,	PUNCT
ejpam-5994	209	33	ζqq	ζqq	X
ejpam-5994	209	34	˙	˙	NOUN
ejpam-5994	209	35	*	*	PROPN
ejpam-5994	209	36	.(3.16	.(3.16	PROPN
ejpam-5994	209	37	)	)	PUNCT
ejpam-5994	210	1	if	if	SCONJ
ejpam-5994	210	2	max	max	PROPN
ejpam-5994	210	3	"	"	PUNCT
ejpam-5994	210	4	wµ	wµ	ADP
ejpam-5994	210	5	ˆ	ˆ	ADV
ejpam-5994	210	6	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	210	7	,	,	PUNCT
ejpam-5994	210	8	ζ	ζ	NOUN
ejpam-5994	210	9	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	210	10	,	,	PUNCT
ejpam-5994	210	11	ζqq	ζqq	X
ejpam-5994	210	12	˙	˙	NOUN
ejpam-5994	210	13	,	,	PUNCT
ejpam-5994	210	14	wµ	wµ	ADV
ejpam-5994	210	15	ˆ	ˆ	NOUN
ejpam-5994	210	16	κm	κm	NOUN
ejpam-5994	210	17	,	,	PUNCT
ejpam-5994	210	18	κm`1	κm`1	PROPN
ejpam-5994	210	19	,	,	PUNCT
ejpam-5994	210	20	ζ	ζ	NOUN
ejpam-5994	210	21	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	210	22	,	,	PUNCT
ejpam-5994	210	23	ζqq	ζqq	X
ejpam-5994	210	24	˙	˙	NOUN
ejpam-5994	210	25	*	*	PUNCT
ejpam-5994	210	26	“	"	PUNCT
ejpam-5994	210	27	wµ	wµ	ADP
ejpam-5994	210	28	ˆ	ˆ	ADV
ejpam-5994	210	29	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	210	30	,	,	PUNCT
ejpam-5994	210	31	ζ	ζ	NOUN
ejpam-5994	210	32	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	210	33	,	,	PUNCT
ejpam-5994	210	34	ζqq	ζqq	X
ejpam-5994	210	35	˙	˙	NOUN
ejpam-5994	210	36	,	,	PUNCT
ejpam-5994	210	37	in	in	ADP
ejpam-5994	210	38	inequality	inequality	NOUN
ejpam-5994	210	39	(	(	PUNCT
ejpam-5994	210	40	3.16	3.16	NUM
ejpam-5994	210	41	)	)	PUNCT
ejpam-5994	210	42	,	,	PUNCT
ejpam-5994	210	43	implies	imply	VERB
ejpam-5994	210	44	that	that	SCONJ
ejpam-5994	210	45	wµ	wµ	ADP
ejpam-5994	210	46	ˆ	ˆ	ADV
ejpam-5994	210	47	κm	κm	NOUN
ejpam-5994	210	48	,	,	PUNCT
ejpam-5994	210	49	κm`1	κm`1	PROPN
ejpam-5994	210	50	,	,	PUNCT
ejpam-5994	210	51	ζ	ζ	NOUN
ejpam-5994	210	52	˙	˙	NOUN
ejpam-5994	210	53	ě	ě	X
ejpam-5994	210	54	wµ	wµ	NOUN
ejpam-5994	210	55	ˆ	ˆ	PROPN
ejpam-5994	210	56	κm	κm	NOUN
ejpam-5994	210	57	,	,	PUNCT
ejpam-5994	210	58	κm`1	κm`1	PROPN
ejpam-5994	210	59	,	,	PUNCT
ejpam-5994	210	60	ζ	ζ	NOUN
ejpam-5994	210	61	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	210	62	,	,	PUNCT
ejpam-5994	210	63	ζqq	ζqq	X
ejpam-5994	210	64	˙	˙	NOUN
ejpam-5994	210	65	,	,	PUNCT
ejpam-5994	210	66	then	then	ADV
ejpam-5994	210	67	there	there	PRON
ejpam-5994	210	68	is	be	VERB
ejpam-5994	210	69	nothing	nothing	PRON
ejpam-5994	210	70	to	to	PART
ejpam-5994	210	71	prove	prove	VERB
ejpam-5994	210	72	by	by	ADP
ejpam-5994	210	73	lemma	lemma	PROPN
ejpam-5994	210	74	1	1	NUM
ejpam-5994	210	75	.	.	PUNCT
ejpam-5994	211	1	if	if	SCONJ
ejpam-5994	211	2	max	max	PROPN
ejpam-5994	211	3	"	"	PUNCT
ejpam-5994	211	4	wµ	wµ	ADP
ejpam-5994	211	5	ˆ	ˆ	ADV
ejpam-5994	211	6	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	211	7	,	,	PUNCT
ejpam-5994	211	8	ζ	ζ	NOUN
ejpam-5994	211	9	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	211	10	,	,	PUNCT
ejpam-5994	211	11	ζqq	ζqq	X
ejpam-5994	211	12	˙	˙	NOUN
ejpam-5994	211	13	,	,	PUNCT
ejpam-5994	211	14	wµ	wµ	ADV
ejpam-5994	211	15	ˆ	ˆ	NOUN
ejpam-5994	211	16	κm	κm	NOUN
ejpam-5994	211	17	,	,	PUNCT
ejpam-5994	211	18	κm`1	κm`1	PROPN
ejpam-5994	211	19	,	,	PUNCT
ejpam-5994	211	20	ζ	ζ	NOUN
ejpam-5994	211	21	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	211	22	,	,	PUNCT
ejpam-5994	211	23	ζqq	ζqq	X
ejpam-5994	211	24	˙	˙	NOUN
ejpam-5994	211	25	*	*	PUNCT
ejpam-5994	211	26	“	"	PUNCT
ejpam-5994	211	27	wµ	wµ	ADP
ejpam-5994	211	28	ˆ	ˆ	ADV
ejpam-5994	211	29	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	211	30	,	,	PUNCT
ejpam-5994	211	31	ζ	ζ	NOUN
ejpam-5994	211	32	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	211	33	,	,	PUNCT
ejpam-5994	211	34	ζqq	ζqq	X
ejpam-5994	211	35	˙	˙	NOUN
ejpam-5994	211	36	,	,	PUNCT
ejpam-5994	211	37	then	then	ADV
ejpam-5994	211	38	inequality	inequality	NOUN
ejpam-5994	211	39	(	(	PUNCT
ejpam-5994	211	40	3.16	3.16	NUM
ejpam-5994	211	41	)	)	PUNCT
ejpam-5994	211	42	,	,	PUNCT
ejpam-5994	211	43	implies	imply	VERB
ejpam-5994	211	44	that	that	SCONJ
ejpam-5994	211	45	wµ	wµ	ADP
ejpam-5994	211	46	ˆ	ˆ	ADV
ejpam-5994	211	47	κm	κm	NOUN
ejpam-5994	211	48	,	,	PUNCT
ejpam-5994	211	49	κm`1	κm`1	PROPN
ejpam-5994	211	50	,	,	PUNCT
ejpam-5994	211	51	ζ	ζ	NOUN
ejpam-5994	211	52	˙	˙	NOUN
ejpam-5994	211	53	ě	ě	X
ejpam-5994	211	54	wµ	wµ	ADP
ejpam-5994	211	55	ˆ	ˆ	ADV
ejpam-5994	211	56	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	211	57	,	,	PUNCT
ejpam-5994	211	58	ζ	ζ	NOUN
ejpam-5994	211	59	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	211	60	,	,	PUNCT
ejpam-5994	211	61	ζqq	ζqq	X
ejpam-5994	211	62	˙	˙	NOUN
ejpam-5994	211	63	.	.	PUNCT
ejpam-5994	212	1	k.	k.	PROPN
ejpam-5994	212	2	abodayeh	abodayeh	PROPN
ejpam-5994	212	3	et	et	PROPN
ejpam-5994	212	4	al	al	PROPN
ejpam-5994	212	5	.	.	PUNCT
ejpam-5994	212	6	/	/	SYM
ejpam-5994	212	7	eur	eur	PROPN
ejpam-5994	212	8	.	.	PUNCT
ejpam-5994	213	1	j.	j.	PROPN
ejpam-5994	213	2	pure	pure	PROPN
ejpam-5994	213	3	appl	appl	PROPN
ejpam-5994	213	4	.	.	PROPN
ejpam-5994	213	5	math	math	PROPN
ejpam-5994	213	6	,	,	PUNCT
ejpam-5994	213	7	18	18	NUM
ejpam-5994	213	8	(	(	PUNCT
ejpam-5994	213	9	2	2	NUM
ejpam-5994	213	10	)	)	PUNCT
ejpam-5994	213	11	(	(	PUNCT
ejpam-5994	213	12	2025	2025	NUM
ejpam-5994	213	13	)	)	PUNCT
ejpam-5994	213	14	,	,	PUNCT
ejpam-5994	213	15	5994	5994	NUM
ejpam-5994	213	16	16	16	NUM
ejpam-5994	213	17	of	of	ADP
ejpam-5994	213	18	22	22	NUM
ejpam-5994	213	19	continuing	continue	VERB
ejpam-5994	213	20	in	in	ADP
ejpam-5994	213	21	the	the	DET
ejpam-5994	213	22	same	same	ADJ
ejpam-5994	213	23	way	way	NOUN
ejpam-5994	213	24	,	,	PUNCT
ejpam-5994	213	25	we	we	PRON
ejpam-5994	213	26	get	get	VERB
ejpam-5994	213	27	wµpκm	wµpκm	NOUN
ejpam-5994	213	28	,	,	PUNCT
ejpam-5994	213	29	κm`1	κm`1	PROPN
ejpam-5994	213	30	,	,	PUNCT
ejpam-5994	213	31	ζq	ζq	VERB
ejpam-5994	213	32	ě	ě	NOUN
ejpam-5994	213	33	wµ	wµ	ADP
ejpam-5994	213	34	ˆ	ˆ	ADV
ejpam-5994	213	35	κm´1,κm	κm´1,κm	ADJ
ejpam-5994	213	36	,	,	PUNCT
ejpam-5994	213	37	ζ	ζ	NOUN
ejpam-5994	213	38	βpwµpκm´1,κm	βpwµpκm´1,κm	NOUN
ejpam-5994	213	39	,	,	PUNCT
ejpam-5994	213	40	ζqq	ζqq	X
ejpam-5994	213	41	˙	˙	ADJ
ejpam-5994	213	42	ě	ě	X
ejpam-5994	213	43	wµ	wµ	NOUN
ejpam-5994	213	44	ˆ	ˆ	ADJ
ejpam-5994	213	45	κm´2,κm´1	κm´2,κm´1	NOUN
ejpam-5994	213	46	,	,	PUNCT
ejpam-5994	213	47	ζ	ζ	NOUN
ejpam-5994	213	48	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	213	49	,	,	PUNCT
ejpam-5994	213	50	ζqqβpwµpκm´2,κm´1	ζqqβpwµpκm´2,κm´1	NOUN
ejpam-5994	213	51	,	,	PUNCT
ejpam-5994	213	52	ζqq	ζqq	X
ejpam-5994	213	53	˙	˙	NOUN
ejpam-5994	213	54	...	...	PUNCT
ejpam-5994	214	1	ě	ě	X
ejpam-5994	214	2	wµ	wµ	ADP
ejpam-5994	214	3	ˆ	ˆ	NOUN
ejpam-5994	214	4	κ0,κ1	κ0,κ1	PROPN
ejpam-5994	214	5	,	,	PUNCT
ejpam-5994	214	6	ζ	ζ	NOUN
ejpam-5994	214	7	βpwµpκm´1,κm	βpwµpκm´1,κm	ADJ
ejpam-5994	214	8	,	,	PUNCT
ejpam-5994	214	9	ζqqβpwµpκm´2,κm´1	ζqqβpwµpκm´2,κm´1	NOUN
ejpam-5994	214	10	,	,	PUNCT
ejpam-5994	214	11	ζqq	ζqq	ADP
ejpam-5994	214	12	¨	¨	NOUN
ejpam-5994	214	13	¨	¨	NOUN
ejpam-5994	214	14	¨βpwµpκ0,κ1	¨βpwµpκ0,κ1	NOUN
ejpam-5994	214	15	,	,	PUNCT
ejpam-5994	214	16	ζqq	ζqq	X
ejpam-5994	214	17	˙	˙	NOUN
ejpam-5994	214	18	using	use	VERB
ejpam-5994	214	19	the	the	DET
ejpam-5994	214	20	identical	identical	ADJ
ejpam-5994	214	21	method	method	NOUN
ejpam-5994	214	22	applied	apply	VERB
ejpam-5994	214	23	subsequent	subsequent	ADV
ejpam-5994	214	24	to	to	AUX
ejpam-5994	214	25	theorem	theorem	VERB
ejpam-5994	214	26	1	1	NUM
ejpam-5994	214	27	right	right	ADV
ejpam-5994	214	28	after	after	ADP
ejpam-5994	214	29	the	the	DET
ejpam-5994	214	30	inequality	inequality	NOUN
ejpam-5994	214	31	(	(	PUNCT
ejpam-5994	214	32	3.2	3.2	NUM
ejpam-5994	214	33	)	)	PUNCT
ejpam-5994	214	34	,	,	PUNCT
ejpam-5994	214	35	we	we	PRON
ejpam-5994	214	36	have	have	VERB
ejpam-5994	214	37	the	the	DET
ejpam-5994	214	38	capability	capability	NOUN
ejpam-5994	214	39	to	to	PART
ejpam-5994	214	40	demonstrate	demonstrate	VERB
ejpam-5994	214	41	both	both	CCONJ
ejpam-5994	214	42	the	the	DET
ejpam-5994	214	43	presence	presence	NOUN
ejpam-5994	214	44	and	and	CCONJ
ejpam-5994	214	45	exclusivity	exclusivity	NOUN
ejpam-5994	214	46	of	of	ADP
ejpam-5994	214	47	a	a	DET
ejpam-5994	214	48	fixed	fix	VERB
ejpam-5994	214	49	point	point	NOUN
ejpam-5994	214	50	.	.	PUNCT
ejpam-5994	215	1	4	4	X
ejpam-5994	215	2	.	.	X
ejpam-5994	215	3	application	application	NOUN
ejpam-5994	215	4	to	to	ADP
ejpam-5994	215	5	nonlinear	nonlinear	ADJ
ejpam-5994	215	6	fractional	fractional	ADJ
ejpam-5994	215	7	differential	differential	ADJ
ejpam-5994	215	8	equations	equation	NOUN
ejpam-5994	215	9	in	in	ADP
ejpam-5994	215	10	this	this	DET
ejpam-5994	215	11	section	section	NOUN
ejpam-5994	215	12	,	,	PUNCT
ejpam-5994	215	13	existence	existence	NOUN
ejpam-5994	215	14	of	of	ADP
ejpam-5994	215	15	solution	solution	NOUN
ejpam-5994	215	16	to	to	ADP
ejpam-5994	215	17	a	a	DET
ejpam-5994	215	18	nonlinear	nonlinear	ADJ
ejpam-5994	215	19	fractional	fractional	ADJ
ejpam-5994	215	20	order	order	NOUN
ejpam-5994	215	21	differential	differential	NOUN
ejpam-5994	215	22	equation	equation	NOUN
ejpam-5994	215	23	pnfdeq	pnfdeq	NOUN
ejpam-5994	215	24	is	be	AUX
ejpam-5994	215	25	investigated	investigate	VERB
ejpam-5994	215	26	via	via	ADP
ejpam-5994	215	27	the	the	DET
ejpam-5994	215	28	results	result	NOUN
ejpam-5994	215	29	established	establish	VERB
ejpam-5994	215	30	in	in	ADP
ejpam-5994	215	31	this	this	DET
ejpam-5994	215	32	manuscript	manuscript	NOUN
ejpam-5994	215	33	.	.	PUNCT
ejpam-5994	216	1	the	the	DET
ejpam-5994	216	2	set	set	NOUN
ejpam-5994	216	3	s̃	s̃	PROPN
ejpam-5994	216	4	”	"	PUNCT
ejpam-5994	216	5	cpr0	cpr0	PROPN
ejpam-5994	216	6	,	,	PUNCT
ejpam-5994	216	7	1s	1s	NUM
ejpam-5994	216	8	,	,	PUNCT
ejpam-5994	216	9	rq	rq	INTJ
ejpam-5994	216	10	,	,	PUNCT
ejpam-5994	216	11	furnished	furnish	VERB
ejpam-5994	216	12	with	with	ADP
ejpam-5994	216	13	norm	norm	NOUN
ejpam-5994	216	14	}	}	PUNCT
ejpam-5994	216	15	κ	κ	NOUN
ejpam-5994	216	16	}	}	PUNCT
ejpam-5994	216	17	:	:	PUNCT
ejpam-5994	216	18	“	"	PUNCT
ejpam-5994	216	19	sup	sup	NOUN
ejpam-5994	216	20	spr0,1s	spr0,1	VERB
ejpam-5994	216	21	|κpsq|	|κpsq|	NOUN
ejpam-5994	216	22	is	be	AUX
ejpam-5994	216	23	banach	banach	NOUN
ejpam-5994	216	24	space	space	NOUN
ejpam-5994	216	25	.	.	PUNCT
ejpam-5994	217	1	consider	consider	VERB
ejpam-5994	217	2	dξ	dξ	PRON
ejpam-5994	217	3	0`pũpζqq	0`pũpζqq	PRON
ejpam-5994	217	4	“	"	PUNCT
ejpam-5994	217	5	gpζ	gpζ	PROPN
ejpam-5994	217	6	,	,	PUNCT
ejpam-5994	217	7	ũpζqq	ũpζqq	PROPN
ejpam-5994	217	8	,	,	PUNCT
ejpam-5994	217	9	ζ	ζ	NOUN
ejpam-5994	217	10	ps0	ps0	ADJ
ejpam-5994	217	11	,	,	PUNCT
ejpam-5994	217	12	1r	1r	NUM
ejpam-5994	217	13	,	,	PUNCT
ejpam-5994	217	14	(	(	PUNCT
ejpam-5994	217	15	4.1	4.1	NUM
ejpam-5994	217	16	)	)	PUNCT
ejpam-5994	217	17	with	with	ADP
ejpam-5994	217	18	conditions	condition	NOUN
ejpam-5994	217	19	κp0q	κp0q	PROPN
ejpam-5994	217	20	`	`	PUNCT
ejpam-5994	217	21	κ́p0q	κ́p0q	PROPN
ejpam-5994	217	22	“	"	PUNCT
ejpam-5994	217	23	0	0	NUM
ejpam-5994	217	24	,	,	PUNCT
ejpam-5994	217	25	κp1q	κp1q	PROPN
ejpam-5994	217	26	`	`	PUNCT
ejpam-5994	217	27	κ́p1q	κ́p1q	ADV
ejpam-5994	217	28	“	"	PUNCT
ejpam-5994	217	29	0	0	NUM
ejpam-5994	217	30	,	,	PUNCT
ejpam-5994	217	31	here	here	ADV
ejpam-5994	217	32	κ	κ	ADP
ejpam-5994	217	33	p	p	PROPN
ejpam-5994	217	34	s̃	s̃	PROPN
ejpam-5994	217	35	,	,	PUNCT
ejpam-5994	217	36	ξ	ξ	PROPN
ejpam-5994	217	37	ps1	ps1	PROPN
ejpam-5994	217	38	,	,	PUNCT
ejpam-5994	217	39	2s	2s	PROPN
ejpam-5994	217	40	and	and	CCONJ
ejpam-5994	217	41	g	g	NOUN
ejpam-5994	217	42	:	:	PUNCT
ejpam-5994	217	43	r0	r0	NOUN
ejpam-5994	217	44	,	,	PUNCT
ejpam-5994	217	45	1s	1s	NUM
ejpam-5994	217	46	ˆ	ˆ	ADP
ejpam-5994	217	47	r	r	NOUN
ejpam-5994	217	48	ñ	ñ	NOUN
ejpam-5994	217	49	r	r	NOUN
ejpam-5994	217	50	is	be	AUX
ejpam-5994	217	51	a	a	DET
ejpam-5994	217	52	continuous	continuous	ADJ
ejpam-5994	217	53	mapping	mapping	NOUN
ejpam-5994	217	54	.	.	PUNCT
ejpam-5994	218	1	now	now	ADV
ejpam-5994	218	2	κ	κ	PROPN
ejpam-5994	218	3	p	p	PROPN
ejpam-5994	218	4	s̃	s̃	PROPN
ejpam-5994	218	5	will	will	AUX
ejpam-5994	218	6	be	be	AUX
ejpam-5994	218	7	a	a	DET
ejpam-5994	218	8	solution	solution	NOUN
ejpam-5994	218	9	to	to	ADP
ejpam-5994	218	10	(	(	PUNCT
ejpam-5994	218	11	4.1	4.1	NUM
ejpam-5994	218	12	)	)	PUNCT
ejpam-5994	218	13	if	if	SCONJ
ejpam-5994	218	14	it	it	PRON
ejpam-5994	218	15	solves	solve	VERB
ejpam-5994	218	16	the	the	DET
ejpam-5994	218	17	following	follow	VERB
ejpam-5994	218	18	equation	equation	NOUN
ejpam-5994	218	19	κps̃q	κps̃q	VERB
ejpam-5994	218	20	“	"	PUNCT
ejpam-5994	218	21	1	1	NUM
ejpam-5994	218	22	γpξq	γpξq	NOUN
ejpam-5994	218	23	ż	ż	PROPN
ejpam-5994	218	24	1	1	NUM
ejpam-5994	218	25	0	0	NUM
ejpam-5994	218	26	p1	p1	PROPN
ejpam-5994	218	27	´	´	NOUN
ejpam-5994	219	1	r̃qξ´1p1	r̃qξ´1p1	PROPN
ejpam-5994	219	2	´	´	NOUN
ejpam-5994	219	3	s̃qgpr̃,κpτ̃qqdr̃	s̃qgpr̃,κpτ̃qqdr̃	ADJ
ejpam-5994	219	4	`	`	PUNCT
ejpam-5994	219	5	1	1	NUM
ejpam-5994	219	6	γpξ	γpξ	NOUN
ejpam-5994	219	7	´	´	NOUN
ejpam-5994	219	8	1q	1q	NUM
ejpam-5994	219	9	ż	ż	PROPN
ejpam-5994	219	10	1	1	NUM
ejpam-5994	219	11	0	0	NUM
ejpam-5994	219	12	p1	p1	PROPN
ejpam-5994	219	13	´	´	NOUN
ejpam-5994	219	14	r̃qξ´2p1	r̃qξ´2p1	NOUN
ejpam-5994	219	15	´	´	NOUN
ejpam-5994	219	16	s̃qgpr̃,κpr̃qqdr̃	s̃qgpr̃,κpr̃qqdr̃	NOUN
ejpam-5994	220	1	`	`	PUNCT
ejpam-5994	220	2	1	1	NUM
ejpam-5994	220	3	γpξq	γpξq	NOUN
ejpam-5994	220	4	ż	ż	PROPN
ejpam-5994	220	5	s̃	s̃	PROPN
ejpam-5994	220	6	0	0	NUM
ejpam-5994	220	7	ps̃	ps̃	NOUN
ejpam-5994	220	8	´	´	VERB
ejpam-5994	220	9	r̃qξ´1gpr̃,κpr̃qqdr̃.	r̃qξ´1gpr̃,κpr̃qqdr̃.	NOUN
ejpam-5994	220	10	(	(	PUNCT
ejpam-5994	220	11	4.2	4.2	NUM
ejpam-5994	220	12	)	)	PUNCT
ejpam-5994	220	13	for	for	ADP
ejpam-5994	220	14	further	further	ADJ
ejpam-5994	220	15	detail	detail	NOUN
ejpam-5994	220	16	and	and	CCONJ
ejpam-5994	220	17	comprehensive	comprehensive	ADJ
ejpam-5994	220	18	discussion	discussion	NOUN
ejpam-5994	220	19	of	of	ADP
ejpam-5994	220	20	the	the	DET
ejpam-5994	220	21	problem	problem	NOUN
ejpam-5994	220	22	setting	set	VERB
ejpam-5994	220	23	,	,	PUNCT
ejpam-5994	220	24	[	[	X
ejpam-5994	220	25	20–23	20–23	NOUN
ejpam-5994	220	26	]	]	X
ejpam-5994	220	27	should	should	AUX
ejpam-5994	220	28	be	be	AUX
ejpam-5994	220	29	consulted	consult	VERB
ejpam-5994	220	30	.	.	PUNCT
ejpam-5994	221	1	define	define	VERB
ejpam-5994	221	2	an	an	DET
ejpam-5994	221	3	integral	integral	ADJ
ejpam-5994	221	4	operator	operator	NOUN
ejpam-5994	221	5	j̃	j̃	PROPN
ejpam-5994	221	6	:	:	PUNCT
ejpam-5994	221	7	s̃	s̃	PROPN
ejpam-5994	221	8	ñ	ñ	NOUN
ejpam-5994	221	9	s̃	s̃	PROPN
ejpam-5994	221	10	by	by	ADP
ejpam-5994	221	11	j̃κps̃q	j̃κps̃q	NOUN
ejpam-5994	221	12	“	"	PUNCT
ejpam-5994	221	13	1	1	NUM
ejpam-5994	221	14	γpξq	γpξq	NOUN
ejpam-5994	221	15	ż	ż	PROPN
ejpam-5994	221	16	1	1	NUM
ejpam-5994	221	17	0	0	NUM
ejpam-5994	221	18	p1	p1	PROPN
ejpam-5994	221	19	´	´	NOUN
ejpam-5994	221	20	r̃qξ´1p1	r̃qξ´1p1	PROPN
ejpam-5994	221	21	´	´	PROPN
ejpam-5994	221	22	s̃qgpr̃,κpr̃qqdr̃	s̃qgpr̃,κpr̃qqdr̃	NOUN
ejpam-5994	221	23	`	`	PUNCT
ejpam-5994	221	24	1	1	NUM
ejpam-5994	221	25	γpξ	γpξ	NOUN
ejpam-5994	221	26	´	´	NOUN
ejpam-5994	221	27	1q	1q	NUM
ejpam-5994	221	28	ż	ż	PROPN
ejpam-5994	221	29	1	1	NUM
ejpam-5994	221	30	0	0	NUM
ejpam-5994	221	31	p1	p1	PROPN
ejpam-5994	221	32	´	´	NOUN
ejpam-5994	221	33	r̃qξ´2p1	r̃qξ´2p1	NOUN
ejpam-5994	221	34	´	´	NOUN
ejpam-5994	221	35	s̃qgpr̃,κpr̃qqdr̃	s̃qgpr̃,κpr̃qqdr̃	NOUN
ejpam-5994	221	36	`	`	PUNCT
ejpam-5994	221	37	1	1	NUM
ejpam-5994	221	38	γpξq	γpξq	NOUN
ejpam-5994	221	39	ż	ż	PROPN
ejpam-5994	221	40	s̃	s̃	PROPN
ejpam-5994	221	41	0	0	NUM
ejpam-5994	221	42	ps̃	ps̃	NOUN
ejpam-5994	221	43	´	´	VERB
ejpam-5994	221	44	r̃qξ´1gpr̃,κpr̃qqdr̃.	r̃qξ´1gpr̃,κpr̃qqdr̃.	NOUN
ejpam-5994	221	45	(	(	PUNCT
ejpam-5994	221	46	4.3	4.3	NUM
ejpam-5994	221	47	)	)	PUNCT
ejpam-5994	221	48	k.	k.	PROPN
ejpam-5994	222	1	abodayeh	abodayeh	PROPN
ejpam-5994	222	2	et	et	PROPN
ejpam-5994	222	3	al	al	PROPN
ejpam-5994	222	4	.	.	PUNCT
ejpam-5994	222	5	/	/	SYM
ejpam-5994	222	6	eur	eur	PROPN
ejpam-5994	222	7	.	.	PUNCT
ejpam-5994	223	1	j.	j.	PROPN
ejpam-5994	223	2	pure	pure	PROPN
ejpam-5994	223	3	appl	appl	PROPN
ejpam-5994	223	4	.	.	PROPN
ejpam-5994	223	5	math	math	PROPN
ejpam-5994	223	6	,	,	PUNCT
ejpam-5994	223	7	18	18	NUM
ejpam-5994	223	8	(	(	PUNCT
ejpam-5994	223	9	2	2	NUM
ejpam-5994	223	10	)	)	PUNCT
ejpam-5994	223	11	(	(	PUNCT
ejpam-5994	223	12	2025	2025	NUM
ejpam-5994	223	13	)	)	PUNCT
ejpam-5994	223	14	,	,	PUNCT
ejpam-5994	223	15	5994	5994	NUM
ejpam-5994	223	16	17	17	NUM
ejpam-5994	223	17	of	of	ADP
ejpam-5994	223	18	22	22	NUM
ejpam-5994	223	19	where	where	SCONJ
ejpam-5994	223	20	s̃	s̃	PROPN
ejpam-5994	223	21	is	be	AUX
ejpam-5994	223	22	an	an	DET
ejpam-5994	223	23	µefbws̃	µefbws̃	NOUN
ejpam-5994	223	24	,	,	PUNCT
ejpam-5994	223	25	wµ	wµ	ADV
ejpam-5994	223	26	is	be	AUX
ejpam-5994	223	27	a	a	DET
ejpam-5994	223	28	µefbw	µefbw	NOUN
ejpam-5994	223	29	with	with	ADP
ejpam-5994	223	30	functions	function	NOUN
ejpam-5994	223	31	µ	µ	X
ejpam-5994	223	32	“	"	PUNCT
ejpam-5994	223	33	1	1	NUM
ejpam-5994	223	34	`	`	PUNCT
ejpam-5994	223	35	κps̃q	κps̃q	PROPN
ejpam-5994	223	36	`	`	PUNCT
ejpam-5994	223	37	ỹps̃q	ỹps̃q	NUM
ejpam-5994	223	38	and	and	CCONJ
ejpam-5994	223	39	α	α	NOUN
ejpam-5994	223	40	“	"	PUNCT
ejpam-5994	223	41	1	1	NUM
ejpam-5994	223	42	`	`	PUNCT
ejpam-5994	223	43	κps̃qỹps̃q	κps̃qỹps̃q	PROPN
ejpam-5994	223	44	,	,	PUNCT
ejpam-5994	223	45	for	for	ADP
ejpam-5994	223	46	all	all	DET
ejpam-5994	223	47	ζ	ζ	NOUN
ejpam-5994	223	48	ą	ą	PROPN
ejpam-5994	223	49	0	0	NUM
ejpam-5994	223	50	and	and	CCONJ
ejpam-5994	223	51	ũ	ũ	PROPN
ejpam-5994	223	52	,	,	PUNCT
ejpam-5994	223	53	ỹ	ỹ	PROPN
ejpam-5994	223	54	p	p	PROPN
ejpam-5994	223	55	s̃.	s̃.	PROPN
ejpam-5994	223	56	wµpκ	wµpκ	NOUN
ejpam-5994	223	57	,	,	PUNCT
ejpam-5994	223	58	ỹ	ỹ	PROPN
ejpam-5994	223	59	,	,	PUNCT
ejpam-5994	223	60	ζq	ζq	ADP
ejpam-5994	223	61	“	"	PUNCT
ejpam-5994	223	62	e	e	X
ejpam-5994	223	63	´	´	NOUN
ejpam-5994	223	64	sup	sup	NOUN
ejpam-5994	223	65	s̃pr0,1s	s̃pr0,1s	PROPN
ejpam-5994	223	66	|κps̃q´ỹps̃q|	|κps̃q´ỹps̃q|	PROPN
ejpam-5994	223	67	ζ	ζ	NOUN
ejpam-5994	223	68	,	,	PUNCT
ejpam-5994	223	69	theorem	theorem	VERB
ejpam-5994	223	70	7	7	NUM
ejpam-5994	223	71	.	.	PUNCT
ejpam-5994	223	72	define	define	VERB
ejpam-5994	223	73	tgmu	tgmu	NOUN
ejpam-5994	223	74	ă	ă	PROPN
ejpam-5994	223	75	s̃	s̃	PROPN
ejpam-5994	223	76	,	,	PUNCT
ejpam-5994	223	77	by	by	ADP
ejpam-5994	223	78	gm`1	gm`1	PROPN
ejpam-5994	223	79	“	"	PUNCT
ejpam-5994	223	80	j̃pgmq	j̃pgmq	PROPN
ejpam-5994	223	81	,	,	PUNCT
ejpam-5994	223	82	where	where	SCONJ
ejpam-5994	223	83	m	m	VERB
ejpam-5994	223	84	p	p	NOUN
ejpam-5994	223	85	n	n	PROPN
ejpam-5994	223	86	y	y	PROPN
ejpam-5994	223	87	t0u	t0u	PROPN
ejpam-5994	223	88	and	and	CCONJ
ejpam-5994	223	89	g	g	PROPN
ejpam-5994	223	90	p	p	PROPN
ejpam-5994	223	91	s̃.	s̃.	PROPN
ejpam-5994	223	92	let	let	VERB
ejpam-5994	223	93	there	there	PRON
ejpam-5994	223	94	be	be	AUX
ejpam-5994	223	95	βpwµpκ	βpwµpκ	ADJ
ejpam-5994	223	96	,	,	PUNCT
ejpam-5994	223	97	ỹ	ỹ	PROPN
ejpam-5994	223	98	,	,	PUNCT
ejpam-5994	223	99	ζqq	ζqq	ADP
ejpam-5994	223	100	p	p	NOUN
ejpam-5994	223	101	p0	p0	NOUN
ejpam-5994	223	102	,	,	PUNCT
ejpam-5994	223	103	1	1	NUM
ejpam-5994	223	104	k2	k2	PROPN
ejpam-5994	223	105	q	q	NOUN
ejpam-5994	223	106	,	,	PUNCT
ejpam-5994	223	107	with	with	ADP
ejpam-5994	223	108	k	k	PROPN
ejpam-5994	223	109	“	"	PUNCT
ejpam-5994	223	110	lim	lim	PROPN
ejpam-5994	223	111	sup	sup	PROPN
ejpam-5994	223	112	m	m	PROPN
ejpam-5994	223	113	,	,	PUNCT
ejpam-5994	223	114	nñ`8	nñ`8	PROPN
ejpam-5994	223	115	ωpgm	ωpgm	PROPN
ejpam-5994	223	116	,	,	PUNCT
ejpam-5994	223	117	gnq	gnq	PROPN
ejpam-5994	223	118	,	,	PUNCT
ejpam-5994	223	119	for	for	ADP
ejpam-5994	223	120	a	a	DET
ejpam-5994	223	121	bounded	bound	VERB
ejpam-5994	223	122	function	function	NOUN
ejpam-5994	223	123	ω	ω	NOUN
ejpam-5994	223	124	:	:	PUNCT
ejpam-5994	223	125	s̃	s̃	PROPN
ejpam-5994	223	126	ˆ	ˆ	NUM
ejpam-5994	223	127	s̃	s̃	PROPN
ejpam-5994	223	128	ñ	ñ	NOUN
ejpam-5994	223	129	r1,`8q	r1,`8q	ADJ
ejpam-5994	223	130	and	and	CCONJ
ejpam-5994	223	131	the	the	DET
ejpam-5994	223	132	following	follow	VERB
ejpam-5994	223	133	conditions	condition	NOUN
ejpam-5994	223	134	are	be	AUX
ejpam-5994	223	135	satisfied	satisfied	ADJ
ejpam-5994	223	136	:	:	PUNCT
ejpam-5994	223	137	•	•	ADP
ejpam-5994	223	138	|gpr̃,κpr̃qq	|gpr̃,κpr̃qq	NUM
ejpam-5994	223	139	´	´	NOUN
ejpam-5994	223	140	gpr̃	gpr̃	PROPN
ejpam-5994	223	141	,	,	PUNCT
ejpam-5994	223	142	~ypr̃qq|	~ypr̃qq|	PUNCT
ejpam-5994	223	143	ď	ď	PROPN
ejpam-5994	223	144	|κpr̃q	|κpr̃q	NUM
ejpam-5994	223	145	´	´	NOUN
ejpam-5994	223	146	~ypr̃q|	~ypr̃q|	NOUN
ejpam-5994	223	147	,	,	PUNCT
ejpam-5994	223	148	for	for	ADP
ejpam-5994	223	149	all	all	DET
ejpam-5994	223	150	κ	κ	NOUN
ejpam-5994	223	151	,	,	PUNCT
ejpam-5994	223	152	ỹ	ỹ	PROPN
ejpam-5994	223	153	p	p	PROPN
ejpam-5994	223	154	s̃	s̃	PROPN
ejpam-5994	223	155	•	•	NOUN
ejpam-5994	223	156	sup	sup	NOUN
ejpam-5994	223	157	ζpr0,1s	ζpr0,1s	PUNCT
ejpam-5994	223	158	"	"	PUNCT
ejpam-5994	223	159	1´s̃	1´s̃	NOUN
ejpam-5994	223	160	γpξ`1q	γpξ`1q	X
ejpam-5994	223	161	`	`	PUNCT
ejpam-5994	223	162	1´s̃	1´s̃	NOUN
ejpam-5994	223	163	γpξq	γpξq	NOUN
ejpam-5994	223	164	`	`	PUNCT
ejpam-5994	223	165	sξ	sξ	PROPN
ejpam-5994	223	166	γpξ`1q	γpξ`1q	X
ejpam-5994	223	167	*	*	PUNCT
ejpam-5994	223	168	ď	ď	PROPN
ejpam-5994	223	169	βpwµpκ	βpwµpκ	NOUN
ejpam-5994	223	170	,	,	PUNCT
ejpam-5994	223	171	ỹ	ỹ	PROPN
ejpam-5994	223	172	,	,	PUNCT
ejpam-5994	223	173	ζqq	ζqq	NOUN
ejpam-5994	223	174	ă	ă	PROPN
ejpam-5994	223	175	1	1	NUM
ejpam-5994	223	176	.	.	PUNCT
ejpam-5994	224	1	then	then	ADV
ejpam-5994	224	2	pnfdeq	pnfdeq	VERB
ejpam-5994	224	3	(	(	PUNCT
ejpam-5994	224	4	4.1	4.1	NUM
ejpam-5994	224	5	)	)	PUNCT
ejpam-5994	224	6	has	have	VERB
ejpam-5994	224	7	unique	unique	ADJ
ejpam-5994	224	8	solution	solution	NOUN
ejpam-5994	224	9	k.	k.	PROPN
ejpam-5994	224	10	abodayeh	abodayeh	PROPN
ejpam-5994	224	11	et	et	PROPN
ejpam-5994	224	12	al	al	PROPN
ejpam-5994	224	13	.	.	PUNCT
ejpam-5994	224	14	/	/	SYM
ejpam-5994	224	15	eur	eur	PROPN
ejpam-5994	224	16	.	.	PUNCT
ejpam-5994	225	1	j.	j.	PROPN
ejpam-5994	225	2	pure	pure	PROPN
ejpam-5994	225	3	appl	appl	PROPN
ejpam-5994	225	4	.	.	PROPN
ejpam-5994	225	5	math	math	PROPN
ejpam-5994	225	6	,	,	PUNCT
ejpam-5994	225	7	18	18	NUM
ejpam-5994	225	8	(	(	PUNCT
ejpam-5994	225	9	2	2	NUM
ejpam-5994	225	10	)	)	PUNCT
ejpam-5994	225	11	(	(	PUNCT
ejpam-5994	225	12	2025	2025	NUM
ejpam-5994	225	13	)	)	PUNCT
ejpam-5994	225	14	,	,	PUNCT
ejpam-5994	225	15	5994	5994	NUM
ejpam-5994	225	16	18	18	NUM
ejpam-5994	225	17	of	of	ADP
ejpam-5994	225	18	22	22	NUM
ejpam-5994	225	19	proof	proof	NOUN
ejpam-5994	225	20	.	.	PUNCT
ejpam-5994	226	1	ˇ	ˇ	X
ejpam-5994	226	2	ˇj̃κps̃q	ˇj̃κps̃q	NUM
ejpam-5994	226	3	´	´	NOUN
ejpam-5994	227	1	j̃~yps̃q	j̃~yps̃q	PROPN
ejpam-5994	227	2	ˇ	ˇ	PRON
ejpam-5994	227	3	ˇ	ˇ	PRON
ejpam-5994	227	4	“	"	PUNCT
ejpam-5994	227	5	ˇ	ˇ	NOUN
ejpam-5994	227	6	ˇ	ˇ	NOUN
ejpam-5994	227	7	ˇ	ˇ	NOUN
ejpam-5994	227	8	ˇ	ˇ	PRON
ejpam-5994	227	9	1	1	NUM
ejpam-5994	227	10	´	´	NOUN
ejpam-5994	227	11	s̃	s̃	PROPN
ejpam-5994	227	12	γpξq	γpξq	PROPN
ejpam-5994	227	13	ż	ż	PROPN
ejpam-5994	227	14	1	1	NUM
ejpam-5994	227	15	0	0	NUM
ejpam-5994	227	16	p1	p1	NOUN
ejpam-5994	227	17	´	´	NOUN
ejpam-5994	227	18	r̃qξ´1	r̃qξ´1	VERB
ejpam-5994	227	19	rgpr̃,κpr̃qq	rgpr̃,κpr̃qq	PROPN
ejpam-5994	227	20	´	´	NOUN
ejpam-5994	227	21	gpr̃	gpr̃	ADJ
ejpam-5994	227	22	,	,	PUNCT
ejpam-5994	227	23	~ypr̃qqs	~ypr̃qqs	NUM
ejpam-5994	227	24	dr̃	dr̃	NUM
ejpam-5994	227	25	`	`	PUNCT
ejpam-5994	227	26	1	1	NUM
ejpam-5994	227	27	´	´	NOUN
ejpam-5994	227	28	s̃	s̃	PROPN
ejpam-5994	227	29	γpξ	γpξ	VERB
ejpam-5994	227	30	´	´	NOUN
ejpam-5994	227	31	1q	1q	NUM
ejpam-5994	227	32	ż	ż	PROPN
ejpam-5994	227	33	1	1	NUM
ejpam-5994	227	34	0	0	NUM
ejpam-5994	227	35	p1	p1	NOUN
ejpam-5994	227	36	´	´	NOUN
ejpam-5994	227	37	r̃qξ´2	r̃qξ´2	NOUN
ejpam-5994	227	38	rgpr̃,κpr̃qq	rgpr̃,κpr̃qq	NOUN
ejpam-5994	227	39	´	´	NOUN
ejpam-5994	227	40	gpr̃	gpr̃	VERB
ejpam-5994	227	41	,	,	PUNCT
ejpam-5994	227	42	~ypr̃qqs	~ypr̃qqs	NUM
ejpam-5994	227	43	dr̃	dr̃	NUM
ejpam-5994	227	44	`	`	PUNCT
ejpam-5994	227	45	1	1	NUM
ejpam-5994	227	46	γpξq	γpξq	NOUN
ejpam-5994	227	47	ż	ż	PROPN
ejpam-5994	227	48	s̃	s̃	PROPN
ejpam-5994	227	49	0	0	NUM
ejpam-5994	227	50	ps̃	ps̃	NOUN
ejpam-5994	227	51	´	´	VERB
ejpam-5994	227	52	r̃qξ´1	r̃qξ´1	VERB
ejpam-5994	227	53	rgpr̃,κpr̃qq	rgpr̃,κpr̃qq	PROPN
ejpam-5994	227	54	´	´	NOUN
ejpam-5994	227	55	gpr̃	gpr̃	ADJ
ejpam-5994	227	56	,	,	PUNCT
ejpam-5994	227	57	~ypr̃qqs	~ypr̃qqs	NUM
ejpam-5994	227	58	dr̃	dr̃	NUM
ejpam-5994	227	59	ˇ	ˇ	NOUN
ejpam-5994	227	60	ˇ	ˇ	NOUN
ejpam-5994	227	61	ˇ	ˇ	NOUN
ejpam-5994	227	62	ˇ	ˇ	NOUN
ejpam-5994	227	63	ď	ď	NOUN
ejpam-5994	227	64	1	1	NUM
ejpam-5994	227	65	´	´	NOUN
ejpam-5994	227	66	s̃	s̃	PROPN
ejpam-5994	227	67	γpξq	γpξq	PROPN
ejpam-5994	227	68	ż	ż	PROPN
ejpam-5994	227	69	1	1	NUM
ejpam-5994	227	70	0	0	NUM
ejpam-5994	227	71	p1	p1	PROPN
ejpam-5994	227	72	´	´	NOUN
ejpam-5994	227	73	r̃qξ´1	r̃qξ´1	VERB
ejpam-5994	227	74	ˇ	ˇ	PROPN
ejpam-5994	227	75	ˇgpr̃,κpr̃qq	ˇgpr̃,κpr̃qq	NOUN
ejpam-5994	227	76	´	´	NOUN
ejpam-5994	227	77	gpr̃	gpr̃	VERB
ejpam-5994	227	78	,	,	PUNCT
ejpam-5994	227	79	~ypr̃qq	~ypr̃qq	NOUN
ejpam-5994	227	80	ˇ	ˇ	PROPN
ejpam-5994	227	81	ˇdr̃	ˇdr̃	ADJ
ejpam-5994	227	82	`	`	PUNCT
ejpam-5994	227	83	1	1	NUM
ejpam-5994	227	84	´	´	NOUN
ejpam-5994	227	85	s̃	s̃	PROPN
ejpam-5994	227	86	γpξ	γpξ	VERB
ejpam-5994	227	87	´	´	NOUN
ejpam-5994	227	88	1q	1q	NUM
ejpam-5994	227	89	ż	ż	PROPN
ejpam-5994	227	90	1	1	NUM
ejpam-5994	227	91	0	0	NUM
ejpam-5994	227	92	p1	p1	NOUN
ejpam-5994	227	93	´	´	NOUN
ejpam-5994	227	94	r̃qξ´2	r̃qξ´2	NOUN
ejpam-5994	227	95	ˇ	ˇ	PROPN
ejpam-5994	227	96	ˇgpr̃,κpr̃qq	ˇgpr̃,κpr̃qq	NOUN
ejpam-5994	227	97	´	´	NOUN
ejpam-5994	227	98	gpr̃	gpr̃	VERB
ejpam-5994	227	99	,	,	PUNCT
ejpam-5994	227	100	~ypr̃qq	~ypr̃qq	NOUN
ejpam-5994	227	101	ˇ	ˇ	PROPN
ejpam-5994	227	102	ˇdr̃	ˇdr̃	ADJ
ejpam-5994	227	103	`	`	PUNCT
ejpam-5994	227	104	1	1	NUM
ejpam-5994	227	105	γpξq	γpξq	NOUN
ejpam-5994	227	106	ż	ż	PROPN
ejpam-5994	227	107	s̃	s̃	PROPN
ejpam-5994	227	108	0	0	NUM
ejpam-5994	227	109	ps̃	ps̃	NOUN
ejpam-5994	227	110	´	´	VERB
ejpam-5994	227	111	r̃qξ´1	r̃qξ´1	VERB
ejpam-5994	227	112	ˇ	ˇ	PROPN
ejpam-5994	227	113	ˇgpr̃,κpr̃qq	ˇgpr̃,κpr̃qq	NOUN
ejpam-5994	227	114	´	´	NOUN
ejpam-5994	227	115	gpr̃	gpr̃	VERB
ejpam-5994	227	116	,	,	PUNCT
ejpam-5994	227	117	~ypr̃qq	~ypr̃qq	NOUN
ejpam-5994	227	118	ˇ	ˇ	PROPN
ejpam-5994	227	119	ˇdr̃	ˇdr̃	PROPN
ejpam-5994	227	120	ď	ď	PROPN
ejpam-5994	227	121	1	1	NUM
ejpam-5994	227	122	´	´	NOUN
ejpam-5994	227	123	s̃	s̃	PROPN
ejpam-5994	227	124	γpξq	γpξq	PROPN
ejpam-5994	227	125	ż	ż	PROPN
ejpam-5994	227	126	1	1	NUM
ejpam-5994	227	127	0	0	NUM
ejpam-5994	227	128	p1	p1	PROPN
ejpam-5994	227	129	´	´	NOUN
ejpam-5994	227	130	r̃qξ´1	r̃qξ´1	VERB
ejpam-5994	227	131	ˇ	ˇ	PROPN
ejpam-5994	227	132	ˇκpr̃q	ˇκpr̃q	PUNCT
ejpam-5994	227	133	´	´	VERB
ejpam-5994	228	1	~ypr̃q	~ypr̃q	NUM
ejpam-5994	228	2	ˇ	ˇ	NUM
ejpam-5994	228	3	ˇdr̃	ˇdr̃	PRON
ejpam-5994	228	4	`	`	PUNCT
ejpam-5994	228	5	1	1	NUM
ejpam-5994	228	6	´	´	NOUN
ejpam-5994	228	7	s̃	s̃	PROPN
ejpam-5994	228	8	γpξ	γpξ	VERB
ejpam-5994	228	9	´	´	NOUN
ejpam-5994	228	10	1q	1q	NUM
ejpam-5994	228	11	ż	ż	PROPN
ejpam-5994	228	12	1	1	NUM
ejpam-5994	228	13	0	0	NUM
ejpam-5994	228	14	p1	p1	NOUN
ejpam-5994	228	15	´	´	NOUN
ejpam-5994	228	16	r̃qξ´2	r̃qξ´2	NOUN
ejpam-5994	228	17	ˇ	ˇ	NOUN
ejpam-5994	228	18	ˇκpr̃q	ˇκpr̃q	PUNCT
ejpam-5994	229	1	´	´	VERB
ejpam-5994	229	2	~ypr̃q	~ypr̃q	NUM
ejpam-5994	229	3	ˇ	ˇ	NUM
ejpam-5994	229	4	ˇdr̃	ˇdr̃	DET
ejpam-5994	229	5	`	`	PUNCT
ejpam-5994	229	6	1	1	NUM
ejpam-5994	229	7	γpξq	γpξq	NOUN
ejpam-5994	229	8	ż	ż	PROPN
ejpam-5994	229	9	s̃	s̃	PROPN
ejpam-5994	229	10	0	0	NUM
ejpam-5994	229	11	ps̃	ps̃	NOUN
ejpam-5994	229	12	´	´	VERB
ejpam-5994	229	13	r̃qξ´1	r̃qξ´1	VERB
ejpam-5994	229	14	ˇ	ˇ	PROPN
ejpam-5994	229	15	ˇκpr̃q	ˇκpr̃q	PUNCT
ejpam-5994	229	16	´	´	VERB
ejpam-5994	230	1	~ypr̃q	~ypr̃q	NUM
ejpam-5994	230	2	ˇ	ˇ	VERB
ejpam-5994	230	3	ˇdr̃	ˇdr̃	ADJ
ejpam-5994	230	4	ď	ď	PROPN
ejpam-5994	230	5	sup	sup	NOUN
ejpam-5994	230	6	s̃pr0,1s	s̃pr0,1s	NOUN
ejpam-5994	230	7	ˇ	ˇ	NUM
ejpam-5994	230	8	ˇκps̃q	ˇκps̃q	NOUN
ejpam-5994	230	9	´	´	NOUN
ejpam-5994	230	10	~yps̃q	~yps̃q	PUNCT
ejpam-5994	231	1	ˇ	ˇ	ADP
ejpam-5994	231	2	ˇ	ˇ	NOUN
ejpam-5994	231	3	ˆ	ˆ	ADJ
ejpam-5994	231	4	1	1	NUM
ejpam-5994	231	5	´	´	NOUN
ejpam-5994	231	6	s̃	s̃	PROPN
ejpam-5994	231	7	γpξq	γpξq	PROPN
ejpam-5994	231	8	ż	ż	PROPN
ejpam-5994	231	9	1	1	NUM
ejpam-5994	231	10	0	0	NUM
ejpam-5994	231	11	p1	p1	PROPN
ejpam-5994	231	12	´	´	NOUN
ejpam-5994	231	13	r̃qξ´1dr̃	r̃qξ´1dr̃	NOUN
ejpam-5994	231	14	`	`	PUNCT
ejpam-5994	231	15	1	1	NUM
ejpam-5994	231	16	´	´	NOUN
ejpam-5994	231	17	s̃	s̃	PROPN
ejpam-5994	231	18	γpξ	γpξ	VERB
ejpam-5994	231	19	´	´	NOUN
ejpam-5994	231	20	1q	1q	NUM
ejpam-5994	231	21	ż	ż	PROPN
ejpam-5994	231	22	1	1	NUM
ejpam-5994	231	23	0	0	NUM
ejpam-5994	231	24	p1	p1	PROPN
ejpam-5994	231	25	´	´	NOUN
ejpam-5994	231	26	r̃qξ´2dr̃	r̃qξ´2dr̃	PROPN
ejpam-5994	231	27	`	`	PUNCT
ejpam-5994	231	28	1	1	NUM
ejpam-5994	231	29	γpξq	γpξq	NOUN
ejpam-5994	231	30	ż	ż	PROPN
ejpam-5994	231	31	s̃	s̃	PROPN
ejpam-5994	231	32	0	0	NUM
ejpam-5994	231	33	ps̃	ps̃	NOUN
ejpam-5994	231	34	´	´	VERB
ejpam-5994	231	35	r̃qξ´1dr̃	r̃qξ´1dr̃	NOUN
ejpam-5994	231	36	˙	˙	NOUN
ejpam-5994	231	37	“	"	PUNCT
ejpam-5994	231	38	sup	sup	NOUN
ejpam-5994	231	39	s̃pr0,1s	s̃pr0,1s	PROPN
ejpam-5994	231	40	ˇ	ˇ	NUM
ejpam-5994	231	41	ˇκps̃q	ˇκps̃q	NOUN
ejpam-5994	231	42	´	´	NOUN
ejpam-5994	231	43	~yps̃q	~yps̃q	PUNCT
ejpam-5994	232	1	ˇ	ˇ	ADP
ejpam-5994	232	2	ˇ	ˇ	NOUN
ejpam-5994	232	3	ˆ	ˆ	NOUN
ejpam-5994	232	4	1	1	NUM
ejpam-5994	232	5	´	´	NOUN
ejpam-5994	232	6	s̃	s̃	PROPN
ejpam-5994	232	7	γpξ	γpξ	VERB
ejpam-5994	232	8	`	`	PUNCT
ejpam-5994	232	9	1q	1q	NUM
ejpam-5994	232	10	`	`	PUNCT
ejpam-5994	232	11	1	1	NUM
ejpam-5994	232	12	´	´	NOUN
ejpam-5994	232	13	s̃	s̃	PROPN
ejpam-5994	232	14	γpξq	γpξq	NOUN
ejpam-5994	233	1	`	`	PUNCT
ejpam-5994	233	2	sξ	sξ	INTJ
ejpam-5994	233	3	γpξ	γpξ	VERB
ejpam-5994	233	4	`	`	PUNCT
ejpam-5994	233	5	1q	1q	NUM
ejpam-5994	233	6	˙	˙	X
ejpam-5994	233	7	“	"	PUNCT
ejpam-5994	233	8	βpwµpκ	βpwµpκ	PROPN
ejpam-5994	233	9	,	,	PUNCT
ejpam-5994	233	10	ỹ	ỹ	PROPN
ejpam-5994	233	11	,	,	PUNCT
ejpam-5994	233	12	ζqq	ζqq	NOUN
ejpam-5994	233	13	sup	sup	NOUN
ejpam-5994	233	14	s̃pr0,1s	s̃pr0,1s	PROPN
ejpam-5994	233	15	ˇ	ˇ	NUM
ejpam-5994	233	16	ˇκps̃q	ˇκps̃q	NOUN
ejpam-5994	233	17	´	´	NOUN
ejpam-5994	233	18	~yps̃q	~yps̃q	PUNCT
ejpam-5994	233	19	ˇ	ˇ	DET
ejpam-5994	233	20	ˇ	ˇ	NOUN
ejpam-5994	233	21	,	,	PUNCT
ejpam-5994	233	22	where	where	SCONJ
ejpam-5994	233	23	βpwµpκ	βpwµpκ	NOUN
ejpam-5994	233	24	,	,	PUNCT
ejpam-5994	233	25	ỹ	ỹ	PROPN
ejpam-5994	233	26	,	,	PUNCT
ejpam-5994	233	27	ζqq	ζqq	PRON
ejpam-5994	233	28	“	"	PUNCT
ejpam-5994	233	29	1	1	NUM
ejpam-5994	233	30	´	´	NOUN
ejpam-5994	233	31	s̃	s̃	PROPN
ejpam-5994	233	32	γpξ	γpξ	VERB
ejpam-5994	233	33	`	`	PUNCT
ejpam-5994	233	34	1q	1q	NUM
ejpam-5994	233	35	`	`	PUNCT
ejpam-5994	233	36	1	1	NUM
ejpam-5994	233	37	´	´	NOUN
ejpam-5994	233	38	s̃	s̃	PROPN
ejpam-5994	233	39	γpξq	γpξq	NOUN
ejpam-5994	233	40	`	`	PUNCT
ejpam-5994	233	41	sξ	sξ	INTJ
ejpam-5994	233	42	γpξ	γpξ	VERB
ejpam-5994	233	43	`	`	PUNCT
ejpam-5994	233	44	1q	1q	X
ejpam-5994	233	45	.	.	PUNCT
ejpam-5994	234	1	k.	k.	PROPN
ejpam-5994	234	2	abodayeh	abodayeh	PROPN
ejpam-5994	234	3	et	et	PROPN
ejpam-5994	234	4	al	al	PROPN
ejpam-5994	234	5	.	.	PUNCT
ejpam-5994	234	6	/	/	SYM
ejpam-5994	234	7	eur	eur	PROPN
ejpam-5994	234	8	.	.	PUNCT
ejpam-5994	235	1	j.	j.	PROPN
ejpam-5994	235	2	pure	pure	PROPN
ejpam-5994	235	3	appl	appl	PROPN
ejpam-5994	235	4	.	.	PROPN
ejpam-5994	235	5	math	math	PROPN
ejpam-5994	235	6	,	,	PUNCT
ejpam-5994	235	7	18	18	NUM
ejpam-5994	235	8	(	(	PUNCT
ejpam-5994	235	9	2	2	NUM
ejpam-5994	235	10	)	)	PUNCT
ejpam-5994	235	11	(	(	PUNCT
ejpam-5994	235	12	2025	2025	NUM
ejpam-5994	235	13	)	)	PUNCT
ejpam-5994	235	14	,	,	PUNCT
ejpam-5994	235	15	5994	5994	NUM
ejpam-5994	235	16	19	19	NUM
ejpam-5994	235	17	of	of	ADP
ejpam-5994	235	18	22	22	NUM
ejpam-5994	235	19	from	from	ADP
ejpam-5994	235	20	the	the	DET
ejpam-5994	235	21	above	above	ADJ
ejpam-5994	235	22	inequality	inequality	NOUN
ejpam-5994	235	23	,	,	PUNCT
ejpam-5994	235	24	it	it	PRON
ejpam-5994	235	25	becomes	become	VERB
ejpam-5994	235	26	apparent	apparent	ADJ
ejpam-5994	235	27	that	that	SCONJ
ejpam-5994	235	28	sup	sup	NOUN
ejpam-5994	235	29	s̃pr0,1s	s̃pr0,1s	PROPN
ejpam-5994	235	30	ˇ	ˇ	NOUN
ejpam-5994	235	31	ˇj̃κps̃q	ˇj̃κps̃q	NUM
ejpam-5994	235	32	´	´	NOUN
ejpam-5994	236	1	j̃~yps̃q	j̃~yps̃q	PROPN
ejpam-5994	237	1	ˇ	ˇ	VERB
ejpam-5994	237	2	ˇ	ˇ	NOUN
ejpam-5994	237	3	ď	ď	NOUN
ejpam-5994	237	4	βpwµpκ	βpwµpκ	NOUN
ejpam-5994	237	5	,	,	PUNCT
ejpam-5994	237	6	ỹ	ỹ	PROPN
ejpam-5994	237	7	,	,	PUNCT
ejpam-5994	237	8	ζqq	ζqq	NOUN
ejpam-5994	237	9	sup	sup	NOUN
ejpam-5994	237	10	s̃pr0,1s	s̃pr0,1s	PROPN
ejpam-5994	237	11	ˇ	ˇ	NUM
ejpam-5994	237	12	ˇκps̃q	ˇκps̃q	NOUN
ejpam-5994	237	13	´	´	NOUN
ejpam-5994	237	14	~yps̃q	~yps̃q	PUNCT
ejpam-5994	237	15	ˇ	ˇ	X
ejpam-5994	237	16	ˇ	ˇ	NOUN
ejpam-5994	237	17	ñ	ñ	NOUN
ejpam-5994	237	18	´	´	NOUN
ejpam-5994	237	19	sup	sup	NOUN
ejpam-5994	237	20	s̃pr0,1s	s̃pr0,1s	PROPN
ejpam-5994	237	21	ˇ	ˇ	NUM
ejpam-5994	237	22	ˇj̃κps̃q	ˇj̃κps̃q	NUM
ejpam-5994	237	23	´	´	NOUN
ejpam-5994	238	1	j̃~yps̃q	j̃~yps̃q	PROPN
ejpam-5994	239	1	ˇ	ˇ	NOUN
ejpam-5994	239	2	ˇ	ˇ	NOUN
ejpam-5994	239	3	βpwµpκ	βpwµpκ	NOUN
ejpam-5994	239	4	,	,	PUNCT
ejpam-5994	239	5	ỹ	ỹ	PROPN
ejpam-5994	239	6	,	,	PUNCT
ejpam-5994	239	7	ζqqζ	ζqqζ	PROPN
ejpam-5994	239	8	ě	ě	X
ejpam-5994	239	9	´	´	NOUN
ejpam-5994	239	10	βpwµpκ	βpwµpκ	ADJ
ejpam-5994	239	11	,	,	PUNCT
ejpam-5994	239	12	ỹ	ỹ	PROPN
ejpam-5994	239	13	,	,	PUNCT
ejpam-5994	239	14	ζqq	ζqq	NOUN
ejpam-5994	239	15	sup	sup	NOUN
ejpam-5994	239	16	s̃pr0,1s	s̃pr0,1s	PROPN
ejpam-5994	239	17	ˇ	ˇ	NUM
ejpam-5994	239	18	ˇκps̃q	ˇκps̃q	NOUN
ejpam-5994	239	19	´	´	NOUN
ejpam-5994	240	1	~yps̃q	~yps̃q	PUNCT
ejpam-5994	240	2	ˇ	ˇ	PRON
ejpam-5994	240	3	ˇ	ˇ	NOUN
ejpam-5994	240	4	βpwµpκ	βpwµpκ	NOUN
ejpam-5994	240	5	,	,	PUNCT
ejpam-5994	240	6	ỹ	ỹ	PROPN
ejpam-5994	240	7	,	,	PUNCT
ejpam-5994	240	8	ζqqζ	ζqqζ	ADJ
ejpam-5994	240	9	ñ	ñ	PROPN
ejpam-5994	240	10	e	e	PROPN
ejpam-5994	240	11	´	´	PROPN
ejpam-5994	240	12	sup	sup	NOUN
ejpam-5994	240	13	s̃pr0,1s	s̃pr0,1s	NOUN
ejpam-5994	240	14	ˇ	ˇ	NOUN
ejpam-5994	240	15	ˇj̃κps̃q´j̃~yps̃q	ˇj̃κps̃q´j̃~yps̃q	NOUN
ejpam-5994	240	16	ˇ	ˇ	NOUN
ejpam-5994	240	17	ˇ	ˇ	NOUN
ejpam-5994	240	18	βpwµpκ	βpwµpκ	NOUN
ejpam-5994	240	19	,	,	PUNCT
ejpam-5994	240	20	ỹ,ζqqζ	ỹ,ζqqζ	NUM
ejpam-5994	240	21	ě	ě	X
ejpam-5994	240	22	e	e	NOUN
ejpam-5994	240	23	´	´	NOUN
ejpam-5994	240	24	sup	sup	NOUN
ejpam-5994	240	25	s̃pr0,1s	s̃pr0,1s	NOUN
ejpam-5994	240	26	ˇ	ˇ	INTJ
ejpam-5994	240	27	ˇκps̃q´~yps̃q	ˇκps̃q´~yps̃q	NOUN
ejpam-5994	241	1	ˇ	ˇ	NOUN
ejpam-5994	241	2	ˇ	ˇ	NOUN
ejpam-5994	241	3	ζ	ζ	NOUN
ejpam-5994	241	4	ñ	ñ	NOUN
ejpam-5994	241	5	wµ	wµ	ADP
ejpam-5994	241	6	´	´	PROPN
ejpam-5994	242	1	j̃κ	j̃κ	PROPN
ejpam-5994	242	2	,	,	PUNCT
ejpam-5994	242	3	j̃~y	j̃~y	PROPN
ejpam-5994	242	4	,	,	PUNCT
ejpam-5994	242	5	βpwµpκ	βpwµpκ	NOUN
ejpam-5994	242	6	,	,	PUNCT
ejpam-5994	242	7	ỹ	ỹ	PROPN
ejpam-5994	242	8	,	,	PUNCT
ejpam-5994	242	9	ζqqζ	ζqqζ	VERB
ejpam-5994	242	10	¯	¯	PROPN
ejpam-5994	242	11	ě	ě	X
ejpam-5994	242	12	wµ	wµ	ADV
ejpam-5994	242	13	pκ	pκ	NOUN
ejpam-5994	242	14	,	,	PUNCT
ejpam-5994	242	15	~y	~y	NUM
ejpam-5994	242	16	,	,	PUNCT
ejpam-5994	242	17	ζq	ζq	NOUN
ejpam-5994	242	18	.	.	PUNCT
ejpam-5994	243	1	theorem	theorem	NOUN
ejpam-5994	243	2	1	1	NUM
ejpam-5994	243	3	implies	imply	VERB
ejpam-5994	243	4	that	that	SCONJ
ejpam-5994	243	5	j̃	j̃	PROPN
ejpam-5994	243	6	has	have	VERB
ejpam-5994	243	7	a	a	DET
ejpam-5994	243	8	fixed	fix	VERB
ejpam-5994	243	9	point	point	NOUN
ejpam-5994	243	10	v˚	v˚	PROPN
ejpam-5994	243	11	p	p	PROPN
ejpam-5994	243	12	s̃	s̃	PROPN
ejpam-5994	243	13	,	,	PUNCT
ejpam-5994	243	14	and	and	CCONJ
ejpam-5994	243	15	as	as	ADP
ejpam-5994	243	16	a	a	DET
ejpam-5994	243	17	result	result	NOUN
ejpam-5994	243	18	,	,	PUNCT
ejpam-5994	243	19	the	the	DET
ejpam-5994	243	20	nfde	nfde	NOUN
ejpam-5994	243	21	(	(	PUNCT
ejpam-5994	243	22	4.1	4.1	NUM
ejpam-5994	243	23	)	)	PUNCT
ejpam-5994	243	24	has	have	VERB
ejpam-5994	243	25	a	a	DET
ejpam-5994	243	26	unique	unique	ADJ
ejpam-5994	243	27	solution	solution	NOUN
ejpam-5994	243	28	in	in	ADP
ejpam-5994	243	29	s̃.	s̃.	PROPN
ejpam-5994	243	30	5	5	NUM
ejpam-5994	243	31	.	.	PUNCT
ejpam-5994	243	32	application	application	NOUN
ejpam-5994	243	33	to	to	ADP
ejpam-5994	243	34	integral	integral	ADJ
ejpam-5994	243	35	equations	equation	NOUN
ejpam-5994	243	36	in	in	ADP
ejpam-5994	243	37	this	this	DET
ejpam-5994	243	38	section	section	NOUN
ejpam-5994	243	39	,	,	PUNCT
ejpam-5994	243	40	we	we	PRON
ejpam-5994	243	41	use	use	VERB
ejpam-5994	243	42	our	our	PRON
ejpam-5994	243	43	established	establish	VERB
ejpam-5994	243	44	results	result	NOUN
ejpam-5994	243	45	to	to	PART
ejpam-5994	243	46	ensure	ensure	VERB
ejpam-5994	243	47	that	that	SCONJ
ejpam-5994	243	48	integral	integral	ADJ
ejpam-5994	243	49	equations	equation	NOUN
ejpam-5994	243	50	of	of	ADP
ejpam-5994	243	51	the	the	DET
ejpam-5994	243	52	type	type	NOUN
ejpam-5994	243	53	upζq	upζq	NOUN
ejpam-5994	243	54	“	"	PUNCT
ejpam-5994	243	55	gpζq	gpζq	ADJ
ejpam-5994	243	56	`	`	PUNCT
ejpam-5994	243	57	ż	ż	PROPN
ejpam-5994	243	58	ζ	ζ	PROPN
ejpam-5994	243	59	0	0	NUM
ejpam-5994	243	60	hpζ	hpζ	NOUN
ejpam-5994	243	61	,	,	PUNCT
ejpam-5994	243	62	s̃,κps̃qqds	s̃,κps̃qqds	NOUN
ejpam-5994	243	63	,	,	PUNCT
ejpam-5994	243	64	ζ	ζ	NOUN
ejpam-5994	243	65	p	p	NOUN
ejpam-5994	243	66	r0	r0	NOUN
ejpam-5994	243	67	,	,	PUNCT
ejpam-5994	243	68	bs	bs	X
ejpam-5994	243	69	,	,	PUNCT
ejpam-5994	243	70	(	(	PUNCT
ejpam-5994	243	71	5.1	5.1	NUM
ejpam-5994	243	72	)	)	PUNCT
ejpam-5994	243	73	have	have	VERB
ejpam-5994	243	74	solution	solution	NOUN
ejpam-5994	243	75	in	in	ADP
ejpam-5994	243	76	c	c	NOUN
ejpam-5994	243	77	”	"	PUNCT
ejpam-5994	243	78	cpr0	cpr0	PROPN
ejpam-5994	243	79	,	,	PUNCT
ejpam-5994	243	80	bs	bs	NOUN
ejpam-5994	243	81	,	,	PUNCT
ejpam-5994	243	82	rq	rq	NOUN
ejpam-5994	243	83	,	,	PUNCT
ejpam-5994	243	84	being	be	AUX
ejpam-5994	243	85	a	a	DET
ejpam-5994	243	86	banach	banach	NOUN
ejpam-5994	243	87	space	space	NOUN
ejpam-5994	243	88	,	,	PUNCT
ejpam-5994	243	89	with	with	ADP
ejpam-5994	243	90	norm	norm	NOUN
ejpam-5994	243	91	}	}	PUNCT
ejpam-5994	243	92	κ	κ	NOUN
ejpam-5994	243	93	}	}	PUNCT
ejpam-5994	243	94	:	:	PUNCT
ejpam-5994	243	95	“	"	PUNCT
ejpam-5994	243	96	sup	sup	NOUN
ejpam-5994	243	97	s̃pr0,bs	s̃pr0,bs	NOUN
ejpam-5994	243	98	|κpsq|	|κpsq|	PROPN
ejpam-5994	243	99	,	,	PUNCT
ejpam-5994	243	100	where	where	SCONJ
ejpam-5994	243	101	b	b	NOUN
ejpam-5994	243	102	is	be	AUX
ejpam-5994	243	103	some	some	PRON
ejpam-5994	243	104	given	give	VERB
ejpam-5994	243	105	positive	positive	ADJ
ejpam-5994	243	106	real	real	ADJ
ejpam-5994	243	107	number	number	NOUN
ejpam-5994	243	108	.	.	PUNCT
ejpam-5994	244	1	consider	consider	VERB
ejpam-5994	244	2	a	a	DET
ejpam-5994	244	3	complete	complete	ADJ
ejpam-5994	244	4	µefbws̃	µefbws̃	NOUN
ejpam-5994	244	5	,	,	PUNCT
ejpam-5994	244	6	pc	pc	NOUN
ejpam-5994	244	7	,	,	PUNCT
ejpam-5994	244	8	wµ	wµ	PROPN
ejpam-5994	244	9	,	,	PUNCT
ejpam-5994	244	10	˚p	˚p	PROPN
ejpam-5994	244	11	,	,	PUNCT
ejpam-5994	244	12	α	α	X
ejpam-5994	244	13	,	,	PUNCT
ejpam-5994	244	14	µq	µq	ADP
ejpam-5994	244	15	where	where	SCONJ
ejpam-5994	244	16	wµpκ	wµpκ	NOUN
ejpam-5994	244	17	,	,	PUNCT
ejpam-5994	244	18	ỹ	ỹ	PROPN
ejpam-5994	244	19	,	,	PUNCT
ejpam-5994	244	20	ζq	ζq	ADP
ejpam-5994	244	21	“	"	PUNCT
ejpam-5994	244	22	e	e	NOUN
ejpam-5994	244	23	´	´	NOUN
ejpam-5994	245	1	sup	sup	NOUN
ejpam-5994	245	2	s̃pr0,bs	s̃pr0,bs	NOUN
ejpam-5994	245	3	|κps̃q´ỹps̃q|2	|κps̃q´ỹps̃q|2	NOUN
ejpam-5994	245	4	ζ	ζ	NOUN
ejpam-5994	245	5	,	,	PUNCT
ejpam-5994	245	6	for	for	ADP
ejpam-5994	245	7	all	all	DET
ejpam-5994	245	8	κ	κ	NOUN
ejpam-5994	245	9	,	,	PUNCT
ejpam-5994	245	10	ỹ	ỹ	PROPN
ejpam-5994	245	11	p	p	NOUN
ejpam-5994	245	12	c	c	PROPN
ejpam-5994	245	13	and	and	CCONJ
ejpam-5994	245	14	βpwµpκ	βpwµpκ	ADJ
ejpam-5994	245	15	,	,	PUNCT
ejpam-5994	245	16	ỹ	ỹ	PROPN
ejpam-5994	245	17	,	,	PUNCT
ejpam-5994	245	18	ζqq	ζqq	ADP
ejpam-5994	245	19	ą	ą	PROPN
ejpam-5994	245	20	0	0	NUM
ejpam-5994	245	21	,	,	PUNCT
ejpam-5994	245	22	with	with	ADP
ejpam-5994	245	23	t	t	NOUN
ejpam-5994	245	24	-	-	PUNCT
ejpam-5994	245	25	norm	norm	NOUN
ejpam-5994	245	26	˚p	˚p	PROPN
ejpam-5994	245	27	and	and	CCONJ
ejpam-5994	245	28	bounded	bound	VERB
ejpam-5994	245	29	functions	function	NOUN
ejpam-5994	245	30	µ	µ	NOUN
ejpam-5994	245	31	,	,	PUNCT
ejpam-5994	245	32	α	α	NOUN
ejpam-5994	245	33	:	:	PUNCT
ejpam-5994	245	34	c	c	NOUN
ejpam-5994	245	35	ˆ	ˆ	ADP
ejpam-5994	245	36	c	c	PROPN
ejpam-5994	245	37	ñ	ñ	NOUN
ejpam-5994	245	38	r1,`8q	r1,`8q	PROPN
ejpam-5994	245	39	.	.	PUNCT
ejpam-5994	246	1	the	the	DET
ejpam-5994	246	2	existence	existence	NOUN
ejpam-5994	246	3	of	of	ADP
ejpam-5994	246	4	a	a	DET
ejpam-5994	246	5	solution	solution	NOUN
ejpam-5994	246	6	to	to	ADP
ejpam-5994	246	7	the	the	DET
ejpam-5994	246	8	integral	integral	ADJ
ejpam-5994	246	9	equation	equation	NOUN
ejpam-5994	246	10	of	of	ADP
ejpam-5994	246	11	the	the	DET
ejpam-5994	246	12	form	form	NOUN
ejpam-5994	246	13	(	(	PUNCT
ejpam-5994	246	14	5.1	5.1	NUM
ejpam-5994	246	15	)	)	PUNCT
ejpam-5994	246	16	is	be	AUX
ejpam-5994	246	17	ensured	ensure	VERB
ejpam-5994	246	18	by	by	ADP
ejpam-5994	246	19	the	the	DET
ejpam-5994	246	20	following	follow	VERB
ejpam-5994	246	21	theorem	theorem	PROPN
ejpam-5994	246	22	.	.	PUNCT
ejpam-5994	246	23	theorem	theorem	NOUN
ejpam-5994	246	24	8	8	NUM
ejpam-5994	246	25	.	.	PUNCT
ejpam-5994	247	1	let	let	VERB
ejpam-5994	247	2	i	i	PRON
ejpam-5994	247	3	:	:	PUNCT
ejpam-5994	247	4	c	c	PROPN
ejpam-5994	247	5	ñ	ñ	NOUN
ejpam-5994	247	6	c	c	NOUN
ejpam-5994	247	7	be	be	AUX
ejpam-5994	247	8	an	an	DET
ejpam-5994	247	9	integral	integral	ADJ
ejpam-5994	247	10	operator	operator	NOUN
ejpam-5994	247	11	given	give	VERB
ejpam-5994	247	12	by	by	ADP
ejpam-5994	247	13	ripuqspζq	ripuqspζq	NOUN
ejpam-5994	247	14	“	"	PUNCT
ejpam-5994	247	15	gpζq	gpζq	ADJ
ejpam-5994	247	16	`	`	PUNCT
ejpam-5994	247	17	ż	ż	PROPN
ejpam-5994	247	18	ζ	ζ	PROPN
ejpam-5994	247	19	0	0	NUM
ejpam-5994	247	20	hpζ	hpζ	NOUN
ejpam-5994	247	21	,	,	PUNCT
ejpam-5994	247	22	s̃,κps̃qqds̃	s̃,κps̃qqds̃	VERB
ejpam-5994	247	23	,	,	PUNCT
ejpam-5994	247	24	u	u	NOUN
ejpam-5994	247	25	p	p	PROPN
ejpam-5994	247	26	c	c	PROPN
ejpam-5994	247	27	,	,	PUNCT
ejpam-5994	247	28	ζ	ζ	NOUN
ejpam-5994	247	29	p	p	NOUN
ejpam-5994	247	30	r0	r0	NOUN
ejpam-5994	247	31	,	,	PUNCT
ejpam-5994	247	32	bs	bs	X
ejpam-5994	247	33	.	.	PUNCT
ejpam-5994	248	1	let	let	VERB
ejpam-5994	248	2	tgmu	tgmu	NOUN
ejpam-5994	248	3	ă	ă	PROPN
ejpam-5994	248	4	c	c	PROPN
ejpam-5994	248	5	,	,	PUNCT
ejpam-5994	248	6	be	be	AUX
ejpam-5994	248	7	defined	define	VERB
ejpam-5994	248	8	by	by	ADP
ejpam-5994	248	9	gm`1	gm`1	PROPN
ejpam-5994	248	10	“	"	PUNCT
ejpam-5994	248	11	ipgmq	ipgmq	NOUN
ejpam-5994	248	12	,	,	PUNCT
ejpam-5994	248	13	m	m	VERB
ejpam-5994	248	14	p	p	NOUN
ejpam-5994	248	15	n	n	PROPN
ejpam-5994	248	16	y	y	PROPN
ejpam-5994	248	17	t0u	t0u	PROPN
ejpam-5994	248	18	,	,	PUNCT
ejpam-5994	248	19	for	for	SCONJ
ejpam-5994	248	20	g	g	PROPN
ejpam-5994	248	21	p	p	PROPN
ejpam-5994	248	22	c.	c.	PROPN
ejpam-5994	248	23	suppose	suppose	VERB
ejpam-5994	248	24	there	there	PRON
ejpam-5994	248	25	exists	exist	VERB
ejpam-5994	248	26	βpwµpκ	βpwµpκ	ADV
ejpam-5994	248	27	,	,	PUNCT
ejpam-5994	248	28	ỹ	ỹ	PROPN
ejpam-5994	248	29	,	,	PUNCT
ejpam-5994	248	30	ζqq	ζqq	ADP
ejpam-5994	248	31	p	p	NOUN
ejpam-5994	248	32	p0	p0	NOUN
ejpam-5994	248	33	,	,	PUNCT
ejpam-5994	248	34	1	1	NUM
ejpam-5994	248	35	k2	k2	PROPN
ejpam-5994	248	36	q	q	PROPN
ejpam-5994	248	37	,	,	PUNCT
ejpam-5994	248	38	with	with	ADP
ejpam-5994	248	39	κ	κ	X
ejpam-5994	248	40	“	"	PUNCT
ejpam-5994	248	41	lim	lim	PROPN
ejpam-5994	248	42	sup	sup	PROPN
ejpam-5994	248	43	m	m	PROPN
ejpam-5994	248	44	,	,	PUNCT
ejpam-5994	248	45	nñ`8	nñ`8	PROPN
ejpam-5994	248	46	ωpgm	ωpgm	PROPN
ejpam-5994	248	47	,	,	PUNCT
ejpam-5994	248	48	gnq	gnq	NOUN
ejpam-5994	248	49	,	,	PUNCT
ejpam-5994	248	50	where	where	SCONJ
ejpam-5994	248	51	ω	ω	X
ejpam-5994	248	52	:	:	PUNCT
ejpam-5994	248	53	c	c	NOUN
ejpam-5994	248	54	ˆ	ˆ	ADP
ejpam-5994	248	55	c	c	PROPN
ejpam-5994	248	56	ñ	ñ	PROPN
ejpam-5994	248	57	r1,`8q	r1,`8q	ADV
ejpam-5994	248	58	is	be	AUX
ejpam-5994	248	59	a	a	DET
ejpam-5994	248	60	bounded	bounded	ADJ
ejpam-5994	248	61	mapping	mapping	NOUN
ejpam-5994	248	62	and	and	CCONJ
ejpam-5994	248	63	let	let	VERB
ejpam-5994	248	64	h	h	PROPN
ejpam-5994	248	65	p	p	PROPN
ejpam-5994	248	66	cpr0	cpr0	PROPN
ejpam-5994	248	67	,	,	PUNCT
ejpam-5994	248	68	bs	bs	PROPN
ejpam-5994	248	69	ˆ	ˆ	NOUN
ejpam-5994	248	70	r0	r0	NOUN
ejpam-5994	248	71	,	,	PUNCT
ejpam-5994	248	72	bs	bs	PROPN
ejpam-5994	248	73	ˆ	ˆ	NOUN
ejpam-5994	248	74	r	r	NOUN
ejpam-5994	248	75	,	,	PUNCT
ejpam-5994	248	76	rq	rq	NOUN
ejpam-5994	248	77	holds	hold	VERB
ejpam-5994	248	78	the	the	DET
ejpam-5994	248	79	following	follow	VERB
ejpam-5994	248	80	condition	condition	NOUN
ejpam-5994	248	81	:	:	PUNCT
ejpam-5994	248	82	|hpζ	|hpζ	NOUN
ejpam-5994	248	83	,	,	PUNCT
ejpam-5994	248	84	s̃,κps̃qq	s̃,κps̃qq	PROPN
ejpam-5994	248	85	´	´	VERB
ejpam-5994	248	86	hpζ	hpζ	ADV
ejpam-5994	248	87	,	,	PUNCT
ejpam-5994	248	88	s̃	s̃	PROPN
ejpam-5994	248	89	,	,	PUNCT
ejpam-5994	248	90	ỹps̃qq|	ỹps̃qq|	PROPN
ejpam-5994	249	1	ď	ď	PROPN
ejpam-5994	249	2	b	b	PROPN
ejpam-5994	249	3	βpwµpκ	βpwµpκ	NOUN
ejpam-5994	249	4	,	,	PUNCT
ejpam-5994	249	5	ỹ	ỹ	PROPN
ejpam-5994	249	6	,	,	PUNCT
ejpam-5994	249	7	ζqq|κpr̃q	ζqq|κpr̃q	NOUN
ejpam-5994	249	8	´	´	VERB
ejpam-5994	250	1	ỹpr̃q|	ỹpr̃q|	PROPN
ejpam-5994	250	2	.	.	PUNCT
ejpam-5994	251	1	then	then	ADV
ejpam-5994	251	2	,	,	PUNCT
ejpam-5994	251	3	the	the	DET
ejpam-5994	251	4	integral	integral	ADJ
ejpam-5994	251	5	equation	equation	NOUN
ejpam-5994	251	6	(	(	PUNCT
ejpam-5994	251	7	5.1	5.1	NUM
ejpam-5994	251	8	)	)	PUNCT
ejpam-5994	251	9	has	have	VERB
ejpam-5994	251	10	a	a	DET
ejpam-5994	251	11	solution	solution	NOUN
ejpam-5994	251	12	u˚	u˚	PROPN
ejpam-5994	251	13	p	p	PROPN
ejpam-5994	251	14	c.	c.	PROPN
ejpam-5994	251	15	k.	k.	PROPN
ejpam-5994	251	16	abodayeh	abodayeh	PROPN
ejpam-5994	251	17	et	et	PROPN
ejpam-5994	251	18	al	al	PROPN
ejpam-5994	251	19	.	.	PUNCT
ejpam-5994	251	20	/	/	SYM
ejpam-5994	251	21	eur	eur	PROPN
ejpam-5994	251	22	.	.	PUNCT
ejpam-5994	252	1	j.	j.	PROPN
ejpam-5994	252	2	pure	pure	PROPN
ejpam-5994	252	3	appl	appl	PROPN
ejpam-5994	252	4	.	.	PROPN
ejpam-5994	252	5	math	math	PROPN
ejpam-5994	252	6	,	,	PUNCT
ejpam-5994	252	7	18	18	NUM
ejpam-5994	252	8	(	(	PUNCT
ejpam-5994	252	9	2	2	NUM
ejpam-5994	252	10	)	)	PUNCT
ejpam-5994	252	11	(	(	PUNCT
ejpam-5994	252	12	2025	2025	NUM
ejpam-5994	252	13	)	)	PUNCT
ejpam-5994	252	14	,	,	PUNCT
ejpam-5994	252	15	5994	5994	NUM
ejpam-5994	252	16	20	20	NUM
ejpam-5994	252	17	of	of	ADP
ejpam-5994	252	18	22	22	NUM
ejpam-5994	252	19	proof	proof	NOUN
ejpam-5994	252	20	.	.	PUNCT
ejpam-5994	253	1	for	for	ADP
ejpam-5994	253	2	all	all	DET
ejpam-5994	253	3	κ	κ	NOUN
ejpam-5994	253	4	,	,	PUNCT
ejpam-5994	253	5	ỹ	ỹ	PROPN
ejpam-5994	253	6	p	p	NOUN
ejpam-5994	253	7	c	c	NOUN
ejpam-5994	253	8	,	,	PUNCT
ejpam-5994	253	9	and	and	CCONJ
ejpam-5994	253	10	βpwpκ	βpwpκ	NOUN
ejpam-5994	253	11	,	,	PUNCT
ejpam-5994	253	12	ỹ	ỹ	PROPN
ejpam-5994	253	13	,	,	PUNCT
ejpam-5994	253	14	ζqq	ζqq	ADP
ejpam-5994	253	15	ą	ą	PROPN
ejpam-5994	253	16	0	0	NUM
ejpam-5994	253	17	,	,	PUNCT
ejpam-5994	253	18	we	we	PRON
ejpam-5994	253	19	have	have	VERB
ejpam-5994	253	20	wµpipκq	wµpipκq	NOUN
ejpam-5994	253	21	,	,	PUNCT
ejpam-5994	253	22	ipỹq	ipỹq	ADJ
ejpam-5994	253	23	,	,	PUNCT
ejpam-5994	253	24	βpwµpκ	βpwµpκ	ADJ
ejpam-5994	253	25	,	,	PUNCT
ejpam-5994	253	26	ỹ	ỹ	PROPN
ejpam-5994	253	27	,	,	PUNCT
ejpam-5994	253	28	ζqqζq	ζqqζq	VERB
ejpam-5994	253	29	“	"	PUNCT
ejpam-5994	253	30	e	e	X
ejpam-5994	253	31	´	´	NOUN
ejpam-5994	253	32	sup	sup	NOUN
ejpam-5994	253	33	r̃pr0,bs	r̃pr0,bs	NOUN
ejpam-5994	253	34	|ripκqsps̃q´ripỹqsps̃q|2	|ripκqsps̃q´ripỹqsps̃q|2	VERB
ejpam-5994	253	35	βpwµpκ	βpwµpκ	ADV
ejpam-5994	253	36	,	,	PUNCT
ejpam-5994	253	37	ỹ,ζqqζ	ỹ,ζqqζ	NUM
ejpam-5994	253	38	“	"	PUNCT
ejpam-5994	253	39	e	e	X
ejpam-5994	253	40	´	´	NOUN
ejpam-5994	253	41	sup	sup	NOUN
ejpam-5994	253	42	r̃pr0,bs	r̃pr0,bs	NOUN
ejpam-5994	254	1	|	|	ADV
ejpam-5994	254	2	şs̃	şs̃	NOUN
ejpam-5994	254	3	0	0	NUM
ejpam-5994	255	1	hps̃,r̃,κpr̃qqdr̃	hps̃,r̃,κpr̃qqdr̃	VERB
ejpam-5994	255	2	´	´	NOUN
ejpam-5994	255	3	şs̃	şs̃	DET
ejpam-5994	255	4	0	0	NUM
ejpam-5994	256	1	hps̃,r̃,ỹpr̃qqdr̃|2	hps̃,r̃,ỹpr̃qqdr̃|2	NOUN
ejpam-5994	256	2	βpwµpκ	βpwµpκ	NOUN
ejpam-5994	256	3	,	,	PUNCT
ejpam-5994	256	4	ỹ,ζqqζ	ỹ,ζqqζ	NUM
ejpam-5994	256	5	ě	ě	X
ejpam-5994	256	6	e	e	NOUN
ejpam-5994	256	7	´	´	NOUN
ejpam-5994	256	8	sup	sup	NOUN
ejpam-5994	256	9	r̃pr0,bs	r̃pr0,bs	NOUN
ejpam-5994	256	10	şs̃	şs̃	SYM
ejpam-5994	256	11	0	0	NUM
ejpam-5994	256	12	|hps̃,r̃,κpr̃qq´hps̃,r̃,ỹpr̃qq|2dr̃	|hps̃,r̃,κpr̃qq´hps̃,r̃,ỹpr̃qq|2dr̃	PROPN
ejpam-5994	256	13	βpwµpκ	βpwµpκ	NOUN
ejpam-5994	256	14	,	,	PUNCT
ejpam-5994	256	15	ỹ,ζqqζ	ỹ,ζqqζ	ADJ
ejpam-5994	256	16	ě	ě	X
ejpam-5994	256	17	e	e	NOUN
ejpam-5994	256	18	´	´	NOUN
ejpam-5994	256	19	sup	sup	NOUN
ejpam-5994	256	20	r̃pr0,bs	r̃pr0,bs	NOUN
ejpam-5994	256	21	şs̃	şs̃	PRON
ejpam-5994	256	22	0p	0p	NUM
ejpam-5994	256	23	?	?	PUNCT
ejpam-5994	257	1	βpwµpκ	βpwµpκ	ADJ
ejpam-5994	257	2	,	,	PUNCT
ejpam-5994	257	3	ỹ,ζqq|κpr̃q´ỹpr̃q|q	ỹ,ζqq|κpr̃q´ỹpr̃q|q	NOUN
ejpam-5994	257	4	2	2	NUM
ejpam-5994	257	5	dr̃	dr̃	NUM
ejpam-5994	257	6	βpwµpκ	βpwµpκ	ADJ
ejpam-5994	257	7	,	,	PUNCT
ejpam-5994	257	8	ỹ,ζqqζ	ỹ,ζqqζ	NUM
ejpam-5994	257	9	ě	ě	X
ejpam-5994	257	10	e	e	NOUN
ejpam-5994	257	11	´	´	NOUN
ejpam-5994	257	12	sup	sup	NOUN
ejpam-5994	257	13	r̃pr0,bs	r̃pr0,bs	NOUN
ejpam-5994	257	14	şs̃	şs̃	NOUN
ejpam-5994	257	15	0	0	NUM
ejpam-5994	257	16	βpwµpκ	βpwµpκ	ADJ
ejpam-5994	257	17	,	,	PUNCT
ejpam-5994	257	18	ỹ,ζqq|κpr̃q´ỹpr̃q|2dr̃	ỹ,ζqq|κpr̃q´ỹpr̃q|2dr̃	PROPN
ejpam-5994	257	19	βpwµpκ	βpwµpκ	ADJ
ejpam-5994	257	20	,	,	PUNCT
ejpam-5994	257	21	ỹ,ζqqζ	ỹ,ζqqζ	NUM
ejpam-5994	257	22	ě	ě	X
ejpam-5994	257	23	e	e	NOUN
ejpam-5994	257	24	´	´	NOUN
ejpam-5994	257	25	sup	sup	NOUN
ejpam-5994	257	26	r̃pr0,bs	r̃pr0,bs	NOUN
ejpam-5994	257	27	βpwµpκ	βpwµpκ	PROPN
ejpam-5994	257	28	,	,	PUNCT
ejpam-5994	257	29	ỹ,ζqq|κpr̃q´ỹpr̃q|2	ỹ,ζqq|κpr̃q´ỹpr̃q|2	VERB
ejpam-5994	257	30	βpwµpκ	βpwµpκ	ADJ
ejpam-5994	257	31	,	,	PUNCT
ejpam-5994	257	32	ỹ,ζqqζ	ỹ,ζqqζ	NUM
ejpam-5994	257	33	“	"	PUNCT
ejpam-5994	257	34	e	e	X
ejpam-5994	257	35	´	´	NOUN
ejpam-5994	257	36	sup	sup	NOUN
ejpam-5994	257	37	r̃pr0,bs	r̃pr0,bs	NOUN
ejpam-5994	257	38	|κpr̃q´ỹpr̃q|2	|κpr̃q´ỹpr̃q|2	NUM
ejpam-5994	257	39	ζ	ζ	PROPN
ejpam-5994	257	40	“	"	PUNCT
ejpam-5994	257	41	wµpκ	wµpκ	NOUN
ejpam-5994	257	42	,	,	PUNCT
ejpam-5994	257	43	ỹ	ỹ	PROPN
ejpam-5994	257	44	,	,	PUNCT
ejpam-5994	257	45	ζq	ζq	NOUN
ejpam-5994	257	46	.	.	PUNCT
ejpam-5994	257	47	ñ	ñ	NOUN
ejpam-5994	257	48	wµpipκq	wµpipκq	NOUN
ejpam-5994	257	49	,	,	PUNCT
ejpam-5994	257	50	ipỹq	ipỹq	PROPN
ejpam-5994	257	51	,	,	PUNCT
ejpam-5994	257	52	βpwµpκ	βpwµpκ	ADJ
ejpam-5994	257	53	,	,	PUNCT
ejpam-5994	257	54	ỹ	ỹ	PROPN
ejpam-5994	257	55	,	,	PUNCT
ejpam-5994	257	56	ζqqζq	ζqqζq	ADJ
ejpam-5994	257	57	ě	ě	X
ejpam-5994	257	58	wµpκ	wµpκ	NOUN
ejpam-5994	257	59	,	,	PUNCT
ejpam-5994	257	60	ỹ	ỹ	PROPN
ejpam-5994	257	61	,	,	PUNCT
ejpam-5994	257	62	ζq	ζq	NOUN
ejpam-5994	257	63	.	.	PUNCT
ejpam-5994	258	1	as	as	ADP
ejpam-5994	258	2	a	a	DET
ejpam-5994	258	3	result	result	NOUN
ejpam-5994	258	4	,	,	PUNCT
ejpam-5994	258	5	the	the	DET
ejpam-5994	258	6	unique	unique	ADJ
ejpam-5994	258	7	fixed	fix	VERB
ejpam-5994	258	8	point	point	NOUN
ejpam-5994	258	9	u˚	u˚	PROPN
ejpam-5994	258	10	p	p	NOUN
ejpam-5994	258	11	c	c	PROPN
ejpam-5994	258	12	of	of	ADP
ejpam-5994	258	13	i	i	PRON
ejpam-5994	258	14	,	,	PUNCT
ejpam-5994	258	15	is	be	AUX
ejpam-5994	258	16	unique	unique	ADJ
ejpam-5994	258	17	solution	solution	NOUN
ejpam-5994	258	18	to	to	ADP
ejpam-5994	258	19	the	the	DET
ejpam-5994	258	20	integral	integral	ADJ
ejpam-5994	258	21	equation	equation	NOUN
ejpam-5994	258	22	(	(	PUNCT
ejpam-5994	258	23	5.1	5.1	NUM
ejpam-5994	258	24	)	)	PUNCT
ejpam-5994	258	25	.	.	PUNCT
ejpam-5994	259	1	acknowledgements	acknowledgement	NOUN
ejpam-5994	259	2	the	the	DET
ejpam-5994	259	3	authors	author	NOUN
ejpam-5994	259	4	would	would	AUX
ejpam-5994	259	5	to	to	PART
ejpam-5994	259	6	thank	thank	VERB
ejpam-5994	259	7	prince	prince	PROPN
ejpam-5994	259	8	sultan	sultan	PROPN
ejpam-5994	259	9	university	university	PROPN
ejpam-5994	259	10	for	for	ADP
ejpam-5994	259	11	paying	pay	VERB
ejpam-5994	259	12	the	the	DET
ejpam-5994	259	13	apc	apc	NOUN
ejpam-5994	259	14	and	and	CCONJ
ejpam-5994	259	15	for	for	ADP
ejpam-5994	259	16	the	the	DET
ejpam-5994	259	17	support	support	NOUN
ejpam-5994	259	18	through	through	ADP
ejpam-5994	259	19	the	the	DET
ejpam-5994	259	20	tas	tas	PROPN
ejpam-5994	259	21	research	research	NOUN
ejpam-5994	259	22	lab	lab	PROPN
ejpam-5994	259	23	.	.	PUNCT
ejpam-5994	260	1	author	author	NOUN
ejpam-5994	260	2	contributions	contribution	NOUN
ejpam-5994	260	3	conceptualization	conceptualization	NOUN
ejpam-5994	260	4	,	,	PUNCT
ejpam-5994	260	5	writing	write	VERB
ejpam-5994	260	6	original	original	ADJ
ejpam-5994	260	7	draft(b.rome	draft(b.rome	NOUN
ejpam-5994	260	8	,	,	PUNCT
ejpam-5994	260	9	s.nizam	s.nizam	NUM
ejpam-5994	260	10	,	,	PUNCT
ejpam-5994	260	11	m.sarwar	m.sarwar	NOUN
ejpam-5994	260	12	)	)	PUNCT
ejpam-5994	260	13	,	,	PUNCT
ejpam-5994	260	14	writing	writing	NOUN
ejpam-5994	260	15	-	-	PUNCT
ejpam-5994	260	16	review	review	NOUN
ejpam-5994	260	17	and	and	CCONJ
ejpam-5994	260	18	editing	edit	VERB
ejpam-5994	260	19	original	original	ADJ
ejpam-5994	260	20	draft	draft	NOUN
ejpam-5994	260	21	,	,	PUNCT
ejpam-5994	260	22	(	(	PUNCT
ejpam-5994	260	23	b.rome	b.rome	NOUN
ejpam-5994	260	24	,	,	PUNCT
ejpam-5994	260	25	s.nizam	s.nizam	ADV
ejpam-5994	260	26	,	,	PUNCT
ejpam-5994	260	27	m.sarwar	m.sarwar	ADJ
ejpam-5994	260	28	,	,	PUNCT
ejpam-5994	260	29	k.abodayeh	k.abodayeh	NOUN
ejpam-5994	260	30	)	)	PUNCT
ejpam-5994	260	31	,	,	PUNCT
ejpam-5994	260	32	supervision(m	supervision(m	NOUN
ejpam-5994	260	33	.	.	PUNCT
ejpam-5994	261	1	sarwar	sarwar	PROPN
ejpam-5994	261	2	,	,	PUNCT
ejpam-5994	261	3	k.abodayeh	k.abodayeh	NOUN
ejpam-5994	261	4	)	)	PUNCT
ejpam-5994	261	5	conflicts	conflict	NOUN
ejpam-5994	261	6	of	of	ADP
ejpam-5994	261	7	interest	interest	NOUN
ejpam-5994	261	8	the	the	DET
ejpam-5994	261	9	authors	author	NOUN
ejpam-5994	261	10	disclose	disclose	VERB
ejpam-5994	261	11	that	that	SCONJ
ejpam-5994	261	12	they	they	PRON
ejpam-5994	261	13	have	have	VERB
ejpam-5994	261	14	no	no	DET
ejpam-5994	261	15	competing	compete	VERB
ejpam-5994	261	16	interests	interest	NOUN
ejpam-5994	261	17	.	.	PUNCT
ejpam-5994	262	1	references	reference	NOUN
ejpam-5994	262	2	[	[	X
ejpam-5994	262	3	1	1	NUM
ejpam-5994	262	4	]	]	PUNCT
ejpam-5994	262	5	l.	l.	PROPN
ejpam-5994	262	6	a.	a.	PROPN
ejpam-5994	262	7	zadeh	zadeh	PROPN
ejpam-5994	262	8	.	.	PUNCT
ejpam-5994	263	1	fuzzy	fuzzy	ADJ
ejpam-5994	263	2	sets	set	NOUN
ejpam-5994	263	3	.	.	PUNCT
ejpam-5994	264	1	information	information	NOUN
ejpam-5994	264	2	and	and	CCONJ
ejpam-5994	264	3	control	control	NOUN
ejpam-5994	264	4	,	,	PUNCT
ejpam-5994	264	5	8:16	8:16	NUM
ejpam-5994	264	6	,	,	PUNCT
ejpam-5994	264	7	1965	1965	NUM
ejpam-5994	264	8	.	.	PUNCT
ejpam-5994	265	1	[	[	X
ejpam-5994	265	2	2	2	NUM
ejpam-5994	265	3	]	]	PUNCT
ejpam-5994	265	4	i.	i.	NOUN
ejpam-5994	265	5	kramosil	kramosil	PROPN
ejpam-5994	265	6	and	and	CCONJ
ejpam-5994	265	7	j.	j.	PROPN
ejpam-5994	265	8	michalek	michalek	PROPN
ejpam-5994	265	9	.	.	PUNCT
ejpam-5994	266	1	fuzzy	fuzzy	ADJ
ejpam-5994	266	2	metric	metric	ADJ
ejpam-5994	266	3	and	and	CCONJ
ejpam-5994	266	4	statistical	statistical	ADJ
ejpam-5994	266	5	metric	metric	ADJ
ejpam-5994	266	6	spaces	space	NOUN
ejpam-5994	266	7	.	.	PUNCT
ejpam-5994	267	1	kybernetika	kybernetika	PROPN
ejpam-5994	267	2	,	,	PUNCT
ejpam-5994	267	3	11:9	11:9	NUM
ejpam-5994	267	4	,	,	PUNCT
ejpam-5994	267	5	1975	1975	NUM
ejpam-5994	267	6	.	.	PUNCT
ejpam-5994	268	1	k.	k.	PROPN
ejpam-5994	268	2	abodayeh	abodayeh	PROPN
ejpam-5994	268	3	et	et	PROPN
ejpam-5994	268	4	al	al	PROPN
ejpam-5994	268	5	.	.	PUNCT
ejpam-5994	268	6	/	/	SYM
ejpam-5994	268	7	eur	eur	PROPN
ejpam-5994	268	8	.	.	PUNCT
ejpam-5994	269	1	j.	j.	PROPN
ejpam-5994	269	2	pure	pure	PROPN
ejpam-5994	269	3	appl	appl	PROPN
ejpam-5994	269	4	.	.	PROPN
ejpam-5994	269	5	math	math	PROPN
ejpam-5994	269	6	,	,	PUNCT
ejpam-5994	269	7	18	18	NUM
ejpam-5994	269	8	(	(	PUNCT
ejpam-5994	269	9	2	2	NUM
ejpam-5994	269	10	)	)	PUNCT
ejpam-5994	269	11	(	(	PUNCT
ejpam-5994	269	12	2025	2025	NUM
ejpam-5994	269	13	)	)	PUNCT
ejpam-5994	269	14	,	,	PUNCT
ejpam-5994	269	15	5994	5994	NUM
ejpam-5994	269	16	21	21	NUM
ejpam-5994	269	17	of	of	ADP
ejpam-5994	269	18	22	22	NUM
ejpam-5994	269	19	[	[	X
ejpam-5994	269	20	3	3	NUM
ejpam-5994	269	21	]	]	PUNCT
ejpam-5994	269	22	a.	a.	NOUN
ejpam-5994	269	23	george	george	PROPN
ejpam-5994	269	24	and	and	CCONJ
ejpam-5994	269	25	p.	p.	PROPN
ejpam-5994	269	26	veeramani	veeramani	PROPN
ejpam-5994	269	27	.	.	PUNCT
ejpam-5994	270	1	on	on	ADP
ejpam-5994	270	2	some	some	DET
ejpam-5994	270	3	result	result	NOUN
ejpam-5994	270	4	in	in	ADP
ejpam-5994	270	5	fuzzy	fuzzy	ADJ
ejpam-5994	270	6	metric	metric	ADJ
ejpam-5994	270	7	space	space	NOUN
ejpam-5994	270	8	.	.	PUNCT
ejpam-5994	271	1	fuzzy	fuzzy	ADJ
ejpam-5994	271	2	sets	set	NOUN
ejpam-5994	271	3	and	and	CCONJ
ejpam-5994	271	4	systems	system	NOUN
ejpam-5994	271	5	,	,	PUNCT
ejpam-5994	271	6	64:5	64:5	NUM
ejpam-5994	271	7	,	,	PUNCT
ejpam-5994	271	8	1994	1994	NUM
ejpam-5994	271	9	.	.	PUNCT
ejpam-5994	272	1	[	[	X
ejpam-5994	272	2	4	4	X
ejpam-5994	272	3	]	]	PUNCT
ejpam-5994	272	4	m.	m.	NOUN
ejpam-5994	272	5	grabiec	grabiec	PROPN
ejpam-5994	272	6	.	.	PUNCT
ejpam-5994	273	1	fixed	fix	VERB
ejpam-5994	273	2	points	point	NOUN
ejpam-5994	273	3	in	in	ADP
ejpam-5994	273	4	fuzzy	fuzzy	ADJ
ejpam-5994	273	5	metric	metric	ADJ
ejpam-5994	273	6	spaces	space	NOUN
ejpam-5994	273	7	.	.	PUNCT
ejpam-5994	274	1	fuzzy	fuzzy	ADJ
ejpam-5994	274	2	sets	set	NOUN
ejpam-5994	274	3	and	and	CCONJ
ejpam-5994	274	4	systems	system	NOUN
ejpam-5994	274	5	,	,	PUNCT
ejpam-5994	274	6	27:5	27:5	NUM
ejpam-5994	274	7	,	,	PUNCT
ejpam-5994	274	8	1988	1988	NUM
ejpam-5994	274	9	.	.	PUNCT
ejpam-5994	275	1	[	[	X
ejpam-5994	275	2	5	5	X
ejpam-5994	275	3	]	]	PUNCT
ejpam-5994	275	4	v.	v.	CCONJ
ejpam-5994	275	5	gregori	gregori	PROPN
ejpam-5994	275	6	and	and	CCONJ
ejpam-5994	275	7	a.	a.	NOUN
ejpam-5994	275	8	sapena	sapena	NOUN
ejpam-5994	275	9	.	.	PUNCT
ejpam-5994	276	1	on	on	ADP
ejpam-5994	276	2	fixed	fix	VERB
ejpam-5994	276	3	point	point	NOUN
ejpam-5994	276	4	theorems	theorem	NOUN
ejpam-5994	276	5	in	in	ADP
ejpam-5994	276	6	fuzzy	fuzzy	ADJ
ejpam-5994	276	7	metric	metric	ADJ
ejpam-5994	276	8	spaces	space	NOUN
ejpam-5994	276	9	.	.	PUNCT
ejpam-5994	277	1	fuzzy	fuzzy	ADJ
ejpam-5994	277	2	sets	set	NOUN
ejpam-5994	277	3	and	and	CCONJ
ejpam-5994	277	4	systems	system	NOUN
ejpam-5994	277	5	,	,	PUNCT
ejpam-5994	277	6	125:8	125:8	NUM
ejpam-5994	277	7	,	,	PUNCT
ejpam-5994	277	8	2002	2002	NUM
ejpam-5994	277	9	.	.	PUNCT
ejpam-5994	278	1	[	[	X
ejpam-5994	278	2	6	6	NUM
ejpam-5994	278	3	]	]	PUNCT
ejpam-5994	278	4	s.	s.	PROPN
ejpam-5994	278	5	chauhana	chauhana	PROPN
ejpam-5994	278	6	,	,	PUNCT
ejpam-5994	278	7	w.	w.	PROPN
ejpam-5994	278	8	shatanawi	shatanawi	PROPN
ejpam-5994	278	9	,	,	PUNCT
ejpam-5994	278	10	s.	s.	PROPN
ejpam-5994	278	11	kumar	kumar	PROPN
ejpam-5994	278	12	,	,	PUNCT
ejpam-5994	278	13	and	and	CCONJ
ejpam-5994	278	14	s.	s.	PROPN
ejpam-5994	278	15	radenovic	radenovic	PROPN
ejpam-5994	278	16	.	.	PUNCT
ejpam-5994	279	1	existence	existence	NOUN
ejpam-5994	279	2	and	and	CCONJ
ejpam-5994	279	3	uniqueness	uniqueness	NOUN
ejpam-5994	279	4	of	of	ADP
ejpam-5994	279	5	fixed	fix	VERB
ejpam-5994	279	6	points	point	NOUN
ejpam-5994	279	7	in	in	ADP
ejpam-5994	279	8	modified	modified	ADJ
ejpam-5994	279	9	intuitionistic	intuitionistic	ADJ
ejpam-5994	279	10	fuzzy	fuzzy	ADJ
ejpam-5994	279	11	metric	metric	ADJ
ejpam-5994	279	12	spaces	space	NOUN
ejpam-5994	279	13	.	.	PUNCT
ejpam-5994	280	1	journal	journal	PROPN
ejpam-5994	280	2	of	of	ADP
ejpam-5994	280	3	nonlinear	nonlinear	ADJ
ejpam-5994	280	4	science	science	NOUN
ejpam-5994	280	5	and	and	CCONJ
ejpam-5994	280	6	applications	application	NOUN
ejpam-5994	280	7	,	,	PUNCT
ejpam-5994	280	8	7:14	7:14	NUM
ejpam-5994	280	9	,	,	PUNCT
ejpam-5994	280	10	2014	2014	NUM
ejpam-5994	280	11	.	.	PUNCT
ejpam-5994	281	1	[	[	X
ejpam-5994	281	2	7	7	X
ejpam-5994	281	3	]	]	X
ejpam-5994	281	4	v.	v.	CCONJ
ejpam-5994	281	5	gupta	gupta	PROPN
ejpam-5994	281	6	,	,	PUNCT
ejpam-5994	281	7	w.	w.	PROPN
ejpam-5994	281	8	shatanawi	shatanawi	PROPN
ejpam-5994	281	9	,	,	PUNCT
ejpam-5994	281	10	and	and	CCONJ
ejpam-5994	281	11	a.	a.	PROPN
ejpam-5994	281	12	kanwar	kanwar	PROPN
ejpam-5994	281	13	.	.	PROPN
ejpam-5994	281	14	coupled	couple	VERB
ejpam-5994	281	15	fixed	fix	VERB
ejpam-5994	281	16	point	point	NOUN
ejpam-5994	281	17	theorems	theorem	NOUN
ejpam-5994	281	18	employing	employ	VERB
ejpam-5994	281	19	clr	clr	NOUN
ejpam-5994	281	20	-	-	NOUN
ejpam-5994	281	21	property	property	NOUN
ejpam-5994	281	22	on	on	ADP
ejpam-5994	281	23	v	v	NUM
ejpam-5994	281	24	-fuzzy	-fuzzy	NOUN
ejpam-5994	281	25	metric	metric	ADJ
ejpam-5994	281	26	spaces	space	NOUN
ejpam-5994	281	27	.	.	PUNCT
ejpam-5994	282	1	mathematics	mathematic	NOUN
ejpam-5994	282	2	,	,	PUNCT
ejpam-5994	282	3	8	8	NUM
ejpam-5994	282	4	,	,	PUNCT
ejpam-5994	282	5	2020	2020	NUM
ejpam-5994	282	6	.	.	PUNCT
ejpam-5994	283	1	[	[	X
ejpam-5994	283	2	8	8	NUM
ejpam-5994	283	3	]	]	X
ejpam-5994	283	4	w.	w.	PROPN
ejpam-5994	283	5	shatanawi	shatanawi	PROPN
ejpam-5994	283	6	,	,	PUNCT
ejpam-5994	283	7	v.	v.	PROPN
ejpam-5994	283	8	gupta	gupta	PROPN
ejpam-5994	283	9	,	,	PUNCT
ejpam-5994	283	10	and	and	CCONJ
ejpam-5994	283	11	a.	a.	PROPN
ejpam-5994	283	12	kanwar	kanwar	PROPN
ejpam-5994	283	13	.	.	PUNCT
ejpam-5994	284	1	new	new	ADJ
ejpam-5994	284	2	results	result	NOUN
ejpam-5994	284	3	on	on	ADP
ejpam-5994	284	4	modified	modify	VERB
ejpam-5994	284	5	intuitionistic	intuitionistic	ADJ
ejpam-5994	284	6	generalized	generalized	ADJ
ejpam-5994	284	7	fuzzy	fuzzy	ADJ
ejpam-5994	284	8	metric	metric	ADJ
ejpam-5994	284	9	spaces	space	NOUN
ejpam-5994	284	10	by	by	ADP
ejpam-5994	284	11	employing	employ	VERB
ejpam-5994	284	12	e.a	e.a	PROPN
ejpam-5994	284	13	property	property	NOUN
ejpam-5994	284	14	and	and	CCONJ
ejpam-5994	284	15	common	common	ADJ
ejpam-5994	284	16	e.a	e.a	PROPN
ejpam-5994	284	17	property	property	NOUN
ejpam-5994	284	18	for	for	ADP
ejpam-5994	284	19	coupled	couple	VERB
ejpam-5994	284	20	maps	map	NOUN
ejpam-5994	284	21	.	.	PUNCT
ejpam-5994	285	1	journal	journal	NOUN
ejpam-5994	285	2	of	of	ADP
ejpam-5994	285	3	intelligent	intelligent	ADJ
ejpam-5994	285	4	&	&	CCONJ
ejpam-5994	285	5	fuzzy	fuzzy	ADJ
ejpam-5994	285	6	systems	system	NOUN
ejpam-5994	285	7	,	,	PUNCT
ejpam-5994	285	8	38:8	38:8	NUM
ejpam-5994	285	9	,	,	PUNCT
ejpam-5994	285	10	2020	2020	NUM
ejpam-5994	285	11	.	.	PUNCT
ejpam-5994	286	1	[	[	X
ejpam-5994	286	2	9	9	NUM
ejpam-5994	286	3	]	]	PUNCT
ejpam-5994	286	4	s.	s.	PROPN
ejpam-5994	286	5	nădăban	nădăban	PROPN
ejpam-5994	286	6	.	.	PUNCT
ejpam-5994	287	1	fuzzy	fuzzy	ADJ
ejpam-5994	287	2	b	b	X
ejpam-5994	287	3	-	-	PUNCT
ejpam-5994	287	4	metric	metric	ADJ
ejpam-5994	287	5	spaces	space	NOUN
ejpam-5994	287	6	.	.	PUNCT
ejpam-5994	288	1	international	international	ADJ
ejpam-5994	288	2	journal	journal	PROPN
ejpam-5994	288	3	of	of	ADP
ejpam-5994	288	4	computers	computer	NOUN
ejpam-5994	288	5	,	,	PUNCT
ejpam-5994	288	6	communications	communication	NOUN
ejpam-5994	288	7	&	&	CCONJ
ejpam-5994	288	8	control	control	PROPN
ejpam-5994	288	9	,	,	PUNCT
ejpam-5994	288	10	11:9	11:9	NOUN
ejpam-5994	288	11	,	,	PUNCT
ejpam-5994	288	12	2016	2016	NUM
ejpam-5994	288	13	.	.	PUNCT
ejpam-5994	289	1	[	[	X
ejpam-5994	289	2	10	10	NUM
ejpam-5994	289	3	]	]	X
ejpam-5994	289	4	f.	f.	PROPN
ejpam-5994	289	5	mehmood	mehmood	PROPN
ejpam-5994	289	6	,	,	PUNCT
ejpam-5994	289	7	r.	r.	PROPN
ejpam-5994	289	8	a.	a.	PROPN
ejpam-5994	289	9	ali	ali	PROPN
ejpam-5994	289	10	,	,	PUNCT
ejpam-5994	289	11	c.	c.	PROPN
ejpam-5994	289	12	ionescu	ionescu	PROPN
ejpam-5994	289	13	,	,	PUNCT
ejpam-5994	289	14	and	and	CCONJ
ejpam-5994	289	15	t.	t.	PROPN
ejpam-5994	289	16	a.	a.	PROPN
ejpam-5994	289	17	kamran	kamran	PROPN
ejpam-5994	289	18	.	.	PUNCT
ejpam-5994	290	1	extended	extend	VERB
ejpam-5994	290	2	fuzzy	fuzzy	ADJ
ejpam-5994	290	3	b	b	NOUN
ejpam-5994	290	4	-	-	PUNCT
ejpam-5994	290	5	metric	metric	ADJ
ejpam-5994	290	6	spaces	space	NOUN
ejpam-5994	290	7	.	.	PUNCT
ejpam-5994	291	1	journal	journal	PROPN
ejpam-5994	291	2	of	of	ADP
ejpam-5994	291	3	mathematical	mathematical	ADJ
ejpam-5994	291	4	analysis	analysis	NOUN
ejpam-5994	291	5	,	,	PUNCT
ejpam-5994	291	6	8:8	8:8	NUM
ejpam-5994	291	7	,	,	PUNCT
ejpam-5994	291	8	2017	2017	NUM
ejpam-5994	291	9	.	.	PUNCT
ejpam-5994	292	1	[	[	X
ejpam-5994	292	2	11	11	NUM
ejpam-5994	292	3	]	]	X
ejpam-5994	292	4	f.	f.	PROPN
ejpam-5994	292	5	mehmood	mehmood	PROPN
ejpam-5994	292	6	,	,	PUNCT
ejpam-5994	292	7	r.	r.	PROPN
ejpam-5994	292	8	ali	ali	PROPN
ejpam-5994	292	9	,	,	PUNCT
ejpam-5994	292	10	and	and	CCONJ
ejpam-5994	292	11	n.	n.	PROPN
ejpam-5994	292	12	hussain	hussain	PROPN
ejpam-5994	292	13	.	.	PUNCT
ejpam-5994	293	1	contractions	contraction	NOUN
ejpam-5994	293	2	in	in	ADP
ejpam-5994	293	3	fuzzy	fuzzy	ADJ
ejpam-5994	293	4	rectangular	rectangular	ADJ
ejpam-5994	293	5	b	b	X
ejpam-5994	293	6	-	-	ADJ
ejpam-5994	293	7	metric	metric	ADJ
ejpam-5994	293	8	spaces	space	NOUN
ejpam-5994	293	9	with	with	ADP
ejpam-5994	293	10	application	application	NOUN
ejpam-5994	293	11	.	.	PUNCT
ejpam-5994	294	1	journal	journal	NOUN
ejpam-5994	294	2	of	of	ADP
ejpam-5994	294	3	intelligent	intelligent	ADJ
ejpam-5994	294	4	and	and	CCONJ
ejpam-5994	294	5	fuzzy	fuzzy	ADJ
ejpam-5994	294	6	systems	system	NOUN
ejpam-5994	294	7	,	,	PUNCT
ejpam-5994	294	8	8:8	8:8	NUM
ejpam-5994	294	9	,	,	PUNCT
ejpam-5994	294	10	2017	2017	NUM
ejpam-5994	294	11	.	.	PUNCT
ejpam-5994	295	1	[	[	X
ejpam-5994	295	2	12	12	NUM
ejpam-5994	295	3	]	]	PUNCT
ejpam-5994	295	4	b.	b.	PROPN
ejpam-5994	295	5	rome	rome	PROPN
ejpam-5994	295	6	,	,	PUNCT
ejpam-5994	295	7	m.	m.	NOUN
ejpam-5994	295	8	sarwar	sarwar	PROPN
ejpam-5994	295	9	,	,	PUNCT
ejpam-5994	295	10	and	and	CCONJ
ejpam-5994	295	11	t.	t.	PROPN
ejpam-5994	295	12	abdeljawad	abdeljawad	NOUN
ejpam-5994	295	13	.	.	PROPN
ejpam-5994	295	14	µ-extended	µ-extende	VERB
ejpam-5994	295	15	fuzzy	fuzzy	ADJ
ejpam-5994	295	16	b	b	X
ejpam-5994	295	17	-	-	PUNCT
ejpam-5994	295	18	metric	metric	ADJ
ejpam-5994	295	19	spaces	space	NOUN
ejpam-5994	295	20	and	and	CCONJ
ejpam-5994	295	21	related	relate	VERB
ejpam-5994	295	22	fixed	fix	VERB
ejpam-5994	295	23	point	point	NOUN
ejpam-5994	295	24	results	result	NOUN
ejpam-5994	295	25	.	.	PUNCT
ejpam-5994	296	1	aims	aim	VERB
ejpam-5994	296	2	mathematics	mathematic	NOUN
ejpam-5994	296	3	,	,	PUNCT
ejpam-5994	296	4	5:9	5:9	NUM
ejpam-5994	296	5	,	,	PUNCT
ejpam-5994	296	6	2020	2020	NUM
ejpam-5994	296	7	.	.	PUNCT
ejpam-5994	297	1	[	[	X
ejpam-5994	297	2	13	13	NUM
ejpam-5994	297	3	]	]	PUNCT
ejpam-5994	297	4	m.	m.	NOUN
ejpam-5994	297	5	geraghty	geraghty	PROPN
ejpam-5994	297	6	.	.	PUNCT
ejpam-5994	298	1	on	on	ADP
ejpam-5994	298	2	contractive	contractive	ADJ
ejpam-5994	298	3	mappings	mapping	NOUN
ejpam-5994	298	4	.	.	PUNCT
ejpam-5994	299	1	proceedings	proceeding	NOUN
ejpam-5994	299	2	of	of	ADP
ejpam-5994	299	3	the	the	DET
ejpam-5994	299	4	american	american	PROPN
ejpam-5994	299	5	mathematical	mathematical	PROPN
ejpam-5994	299	6	society	society	NOUN
ejpam-5994	299	7	,	,	PUNCT
ejpam-5994	299	8	40:5	40:5	NUM
ejpam-5994	299	9	,	,	PUNCT
ejpam-5994	299	10	1973	1973	NUM
ejpam-5994	299	11	.	.	PUNCT
ejpam-5994	300	1	[	[	X
ejpam-5994	300	2	14	14	NUM
ejpam-5994	300	3	]	]	PUNCT
ejpam-5994	300	4	j.	j.	PROPN
ejpam-5994	300	5	mart́ınez	mart́ınez	PROPN
ejpam-5994	300	6	,	,	PUNCT
ejpam-5994	300	7	w.	w.	PROPN
ejpam-5994	300	8	sintunavarat	sintunavarat	PROPN
ejpam-5994	300	9	,	,	PUNCT
ejpam-5994	300	10	and	and	CCONJ
ejpam-5994	300	11	y.	y.	PROPN
ejpam-5994	300	12	j.	j.	PROPN
ejpam-5994	300	13	cho	cho	PROPN
ejpam-5994	300	14	.	.	PUNCT
ejpam-5994	301	1	common	common	ADJ
ejpam-5994	301	2	fixed	fix	VERB
ejpam-5994	301	3	point	point	NOUN
ejpam-5994	301	4	theorems	theorem	NOUN
ejpam-5994	301	5	for	for	ADP
ejpam-5994	301	6	geraghty	geraghty	PROPN
ejpam-5994	301	7	’s	’s	PART
ejpam-5994	301	8	type	type	NOUN
ejpam-5994	301	9	contraction	contraction	NOUN
ejpam-5994	301	10	mappings	mapping	NOUN
ejpam-5994	301	11	using	use	VERB
ejpam-5994	301	12	the	the	DET
ejpam-5994	301	13	monotone	monotone	ADJ
ejpam-5994	301	14	property	property	NOUN
ejpam-5994	301	15	with	with	ADP
ejpam-5994	301	16	two	two	NUM
ejpam-5994	301	17	metrics	metric	NOUN
ejpam-5994	301	18	.	.	PUNCT
ejpam-5994	302	1	fixed	fix	VERB
ejpam-5994	302	2	point	point	NOUN
ejpam-5994	302	3	theory	theory	NOUN
ejpam-5994	302	4	and	and	CCONJ
ejpam-5994	302	5	applications	application	NOUN
ejpam-5994	302	6	,	,	PUNCT
ejpam-5994	302	7	2015:15	2015:15	NUM
ejpam-5994	302	8	,	,	PUNCT
ejpam-5994	302	9	2015	2015	NUM
ejpam-5994	302	10	.	.	PUNCT
ejpam-5994	303	1	[	[	X
ejpam-5994	303	2	15	15	NUM
ejpam-5994	303	3	]	]	X
ejpam-5994	303	4	m.	m.	NOUN
ejpam-5994	303	5	s.	s.	PROPN
ejpam-5994	303	6	ashraf	ashraf	PROPN
ejpam-5994	303	7	,	,	PUNCT
ejpam-5994	303	8	r.	r.	PROPN
ejpam-5994	303	9	ali	ali	PROPN
ejpam-5994	303	10	,	,	PUNCT
ejpam-5994	303	11	and	and	CCONJ
ejpam-5994	303	12	n.	n.	PROPN
ejpam-5994	303	13	hussain	hussain	PROPN
ejpam-5994	303	14	.	.	PUNCT
ejpam-5994	304	1	geraghty	geraghty	PROPN
ejpam-5994	304	2	type	type	NOUN
ejpam-5994	304	3	contractions	contraction	NOUN
ejpam-5994	304	4	in	in	ADP
ejpam-5994	304	5	fuzzy	fuzzy	ADJ
ejpam-5994	304	6	b	b	X
ejpam-5994	304	7	-	-	ADJ
ejpam-5994	304	8	metric	metric	ADJ
ejpam-5994	304	9	spaces	space	NOUN
ejpam-5994	304	10	with	with	ADP
ejpam-5994	304	11	application	application	NOUN
ejpam-5994	304	12	to	to	ADP
ejpam-5994	304	13	integral	integral	ADJ
ejpam-5994	304	14	equations	equation	NOUN
ejpam-5994	304	15	.	.	PUNCT
ejpam-5994	305	1	filomat	filomat	NOUN
ejpam-5994	305	2	,	,	PUNCT
ejpam-5994	305	3	34:16	34:16	NUM
ejpam-5994	305	4	,	,	PUNCT
ejpam-5994	305	5	2020	2020	NUM
ejpam-5994	305	6	.	.	PUNCT
ejpam-5994	306	1	[	[	X
ejpam-5994	306	2	16	16	NUM
ejpam-5994	306	3	]	]	X
ejpam-5994	306	4	e.	e.	PROPN
ejpam-5994	306	5	peter	peter	PROPN
ejpam-5994	306	6	klement	klement	PROPN
ejpam-5994	306	7	,	,	PUNCT
ejpam-5994	306	8	r.	r.	PROPN
ejpam-5994	306	9	mesiar	mesiar	PROPN
ejpam-5994	306	10	,	,	PUNCT
ejpam-5994	306	11	and	and	CCONJ
ejpam-5994	306	12	e.	e.	PROPN
ejpam-5994	306	13	pap	pap	PROPN
ejpam-5994	306	14	.	.	PUNCT
ejpam-5994	307	1	triangular	triangular	NOUN
ejpam-5994	307	2	norms	norm	NOUN
ejpam-5994	307	3	.	.	PUNCT
ejpam-5994	308	1	fuzzy	fuzzy	ADJ
ejpam-5994	308	2	sets	set	NOUN
ejpam-5994	308	3	and	and	CCONJ
ejpam-5994	308	4	systems	system	NOUN
ejpam-5994	308	5	,	,	PUNCT
ejpam-5994	308	6	8	8	NUM
ejpam-5994	308	7	,	,	PUNCT
ejpam-5994	308	8	2013	2013	NUM
ejpam-5994	308	9	.	.	PUNCT
ejpam-5994	309	1	[	[	X
ejpam-5994	309	2	17	17	NUM
ejpam-5994	309	3	]	]	PUNCT
ejpam-5994	309	4	b.	b.	PROPN
ejpam-5994	309	5	rome	rome	PROPN
ejpam-5994	309	6	,	,	PUNCT
ejpam-5994	309	7	m.	m.	NOUN
ejpam-5994	309	8	sarwar	sarwar	PROPN
ejpam-5994	309	9	,	,	PUNCT
ejpam-5994	309	10	k.	k.	PROPN
ejpam-5994	309	11	shah	shah	PROPN
ejpam-5994	309	12	,	,	PUNCT
ejpam-5994	309	13	b.	b.	PROPN
ejpam-5994	309	14	abdalla	abdalla	PROPN
ejpam-5994	309	15	,	,	PUNCT
ejpam-5994	309	16	and	and	CCONJ
ejpam-5994	309	17	t.	t.	NOUN
ejpam-5994	309	18	abdeljawad	abdeljawad	NOUN
ejpam-5994	309	19	.	.	PUNCT
ejpam-5994	310	1	some	some	DET
ejpam-5994	310	2	generalized	generalized	ADJ
ejpam-5994	310	3	fixed	fix	VERB
ejpam-5994	310	4	point	point	NOUN
ejpam-5994	310	5	results	result	NOUN
ejpam-5994	310	6	of	of	ADP
ejpam-5994	310	7	banach	banach	NOUN
ejpam-5994	310	8	and	and	CCONJ
ejpam-5994	310	9	ćirić	ćirić	NOUN
ejpam-5994	310	10	type	type	NOUN
ejpam-5994	310	11	in	in	ADP
ejpam-5994	310	12	extended	extended	ADJ
ejpam-5994	310	13	fuzzy	fuzzy	ADJ
ejpam-5994	310	14	b	b	X
ejpam-5994	310	15	-	-	PUNCT
ejpam-5994	310	16	metric	metric	ADJ
ejpam-5994	310	17	spaces	space	NOUN
ejpam-5994	310	18	with	with	ADP
ejpam-5994	310	19	applications	application	NOUN
ejpam-5994	310	20	.	.	PUNCT
ejpam-5994	311	1	aims	aim	VERB
ejpam-5994	311	2	mathematics	mathematic	NOUN
ejpam-5994	311	3	,	,	PUNCT
ejpam-5994	311	4	7:22	7:22	NUM
ejpam-5994	311	5	,	,	PUNCT
ejpam-5994	311	6	2022	2022	NUM
ejpam-5994	311	7	.	.	PUNCT
ejpam-5994	312	1	[	[	X
ejpam-5994	312	2	18	18	NUM
ejpam-5994	312	3	]	]	PUNCT
ejpam-5994	312	4	t.	t.	PROPN
ejpam-5994	312	5	došenovic	došenovic	PROPN
ejpam-5994	312	6	,	,	PUNCT
ejpam-5994	312	7	a.	a.	NOUN
ejpam-5994	312	8	javaheri	javaheri	PROPN
ejpam-5994	312	9	,	,	PUNCT
ejpam-5994	312	10	s.	s.	PROPN
ejpam-5994	312	11	sedghi	sedghi	PROPN
ejpam-5994	312	12	,	,	PUNCT
ejpam-5994	312	13	and	and	CCONJ
ejpam-5994	312	14	n.	n.	PROPN
ejpam-5994	312	15	shobe	shobe	PROPN
ejpam-5994	312	16	.	.	PUNCT
ejpam-5994	313	1	coupled	couple	VERB
ejpam-5994	313	2	fixed	fix	VERB
ejpam-5994	313	3	point	point	NOUN
ejpam-5994	313	4	theorem	theorem	VERB
ejpam-5994	313	5	in	in	ADP
ejpam-5994	313	6	b	b	NOUN
ejpam-5994	313	7	-	-	PUNCT
ejpam-5994	313	8	fuzzy	fuzzy	ADJ
ejpam-5994	313	9	metric	metric	ADJ
ejpam-5994	313	10	spaces	space	NOUN
ejpam-5994	313	11	.	.	PUNCT
ejpam-5994	314	1	novi	novi	PROPN
ejpam-5994	314	2	sad	sad	PROPN
ejpam-5994	314	3	journal	journal	PROPN
ejpam-5994	314	4	of	of	ADP
ejpam-5994	314	5	mathematics	mathematic	NOUN
ejpam-5994	314	6	,	,	PUNCT
ejpam-5994	314	7	47:12	47:12	NUM
ejpam-5994	314	8	,	,	PUNCT
ejpam-5994	314	9	2017	2017	NUM
ejpam-5994	314	10	.	.	PUNCT
ejpam-5994	315	1	[	[	X
ejpam-5994	315	2	19	19	NUM
ejpam-5994	315	3	]	]	PUNCT
ejpam-5994	315	4	s.	s.	PROPN
ejpam-5994	315	5	n.	n.	PROPN
ejpam-5994	315	6	mishra	mishra	PROPN
ejpam-5994	315	7	,	,	PUNCT
ejpam-5994	315	8	s.	s.	PROPN
ejpam-5994	315	9	n.	n.	PROPN
ejpam-5994	315	10	sharma	sharma	PROPN
ejpam-5994	315	11	,	,	PUNCT
ejpam-5994	315	12	and	and	CCONJ
ejpam-5994	315	13	s.	s.	PROPN
ejpam-5994	315	14	l.	l.	PROPN
ejpam-5994	315	15	singh	singh	PROPN
ejpam-5994	315	16	.	.	PUNCT
ejpam-5994	316	1	common	common	ADJ
ejpam-5994	316	2	fixed	fix	VERB
ejpam-5994	316	3	point	point	NOUN
ejpam-5994	316	4	of	of	ADP
ejpam-5994	316	5	maps	map	NOUN
ejpam-5994	316	6	on	on	ADP
ejpam-5994	316	7	fuzzy	fuzzy	ADJ
ejpam-5994	316	8	metric	metric	ADJ
ejpam-5994	316	9	spaces	space	NOUN
ejpam-5994	316	10	.	.	PUNCT
ejpam-5994	317	1	international	international	ADJ
ejpam-5994	317	2	journal	journal	PROPN
ejpam-5994	317	3	of	of	ADP
ejpam-5994	317	4	mathematics	mathematics	PROPN
ejpam-5994	317	5	and	and	CCONJ
ejpam-5994	317	6	mathematical	mathematical	ADJ
ejpam-5994	317	7	sciences	science	NOUN
ejpam-5994	317	8	,	,	PUNCT
ejpam-5994	317	9	17:6	17:6	NUM
ejpam-5994	317	10	,	,	PUNCT
ejpam-5994	317	11	1994	1994	NUM
ejpam-5994	317	12	.	.	PUNCT
ejpam-5994	318	1	[	[	X
ejpam-5994	318	2	20	20	NUM
ejpam-5994	318	3	]	]	PUNCT
ejpam-5994	318	4	a.	a.	NOUN
ejpam-5994	318	5	elhamed	elhame	VERB
ejpam-5994	318	6	and	and	CCONJ
ejpam-5994	318	7	m.	m.	PROPN
ejpam-5994	318	8	gehad	gehad	PROPN
ejpam-5994	318	9	.	.	PUNCT
ejpam-5994	319	1	fixed	fix	VERB
ejpam-5994	319	2	point	point	NOUN
ejpam-5994	319	3	results	result	NOUN
ejpam-5994	319	4	for	for	ADP
ejpam-5994	319	5	pβ	pβ	ADP
ejpam-5994	319	6	,	,	PUNCT
ejpam-5994	319	7	αq	αq	ADJ
ejpam-5994	319	8	-	-	PUNCT
ejpam-5994	319	9	implicit	implicit	ADJ
ejpam-5994	319	10	contractions	contraction	NOUN
ejpam-5994	319	11	in	in	ADP
ejpam-5994	319	12	two	two	NUM
ejpam-5994	319	13	generalized	generalized	ADJ
ejpam-5994	319	14	b	b	X
ejpam-5994	319	15	-	-	ADJ
ejpam-5994	319	16	metric	metric	ADJ
ejpam-5994	319	17	spaces	space	NOUN
ejpam-5994	319	18	.	.	PUNCT
ejpam-5994	320	1	journal	journal	PROPN
ejpam-5994	320	2	of	of	ADP
ejpam-5994	320	3	nonlinear	nonlinear	ADJ
ejpam-5994	320	4	science	science	NOUN
ejpam-5994	320	5	and	and	CCONJ
ejpam-5994	320	6	applications	application	NOUN
ejpam-5994	320	7	,	,	PUNCT
ejpam-5994	320	8	14:9	14:9	NUM
ejpam-5994	320	9	,	,	PUNCT
ejpam-5994	320	10	2010	2010	NUM
ejpam-5994	320	11	.	.	PUNCT
ejpam-5994	321	1	[	[	X
ejpam-5994	321	2	21	21	NUM
ejpam-5994	321	3	]	]	X
ejpam-5994	321	4	n.	n.	PROPN
ejpam-5994	321	5	k.	k.	PROPN
ejpam-5994	321	6	alharbi	alharbi	PROPN
ejpam-5994	321	7	.	.	PUNCT
ejpam-5994	322	1	hyers	hyer	NOUN
ejpam-5994	322	2	–	–	PUNCT
ejpam-5994	322	3	ulam	ulam	PROPN
ejpam-5994	322	4	and	and	CCONJ
ejpam-5994	322	5	hyers	hyers	PROPN
ejpam-5994	322	6	-	-	PUNCT
ejpam-5994	322	7	ulam	ulam	NOUN
ejpam-5994	322	8	-	-	PUNCT
ejpam-5994	322	9	rassias	rassias	PROPN
ejpam-5994	322	10	stability	stability	NOUN
ejpam-5994	322	11	for	for	ADP
ejpam-5994	322	12	a	a	DET
ejpam-5994	322	13	class	class	NOUN
ejpam-5994	322	14	of	of	ADP
ejpam-5994	322	15	fractional	fractional	ADJ
ejpam-5994	322	16	evolution	evolution	NOUN
ejpam-5994	322	17	differential	differential	NOUN
ejpam-5994	322	18	equations	equation	NOUN
ejpam-5994	322	19	with	with	ADP
ejpam-5994	322	20	neutral	neutral	ADJ
ejpam-5994	322	21	time	time	NOUN
ejpam-5994	322	22	delay	delay	NOUN
ejpam-5994	322	23	.	.	PUNCT
ejpam-5994	323	1	symmetry	symmetry	NOUN
ejpam-5994	323	2	,	,	PUNCT
ejpam-5994	323	3	17	17	NUM
ejpam-5994	323	4	,	,	PUNCT
ejpam-5994	323	5	2025	2025	NUM
ejpam-5994	323	6	.	.	PUNCT
ejpam-5994	324	1	k.	k.	PROPN
ejpam-5994	324	2	abodayeh	abodayeh	PROPN
ejpam-5994	324	3	et	et	PROPN
ejpam-5994	324	4	al	al	PROPN
ejpam-5994	324	5	.	.	PUNCT
ejpam-5994	324	6	/	/	SYM
ejpam-5994	324	7	eur	eur	PROPN
ejpam-5994	324	8	.	.	PUNCT
ejpam-5994	325	1	j.	j.	PROPN
ejpam-5994	325	2	pure	pure	PROPN
ejpam-5994	325	3	appl	appl	PROPN
ejpam-5994	325	4	.	.	PROPN
ejpam-5994	325	5	math	math	PROPN
ejpam-5994	325	6	,	,	PUNCT
ejpam-5994	325	7	18	18	NUM
ejpam-5994	325	8	(	(	PUNCT
ejpam-5994	325	9	2	2	NUM
ejpam-5994	325	10	)	)	PUNCT
ejpam-5994	325	11	(	(	PUNCT
ejpam-5994	325	12	2025	2025	NUM
ejpam-5994	325	13	)	)	PUNCT
ejpam-5994	325	14	,	,	PUNCT
ejpam-5994	325	15	5994	5994	NUM
ejpam-5994	325	16	22	22	NUM
ejpam-5994	325	17	of	of	ADP
ejpam-5994	325	18	22	22	NUM
ejpam-5994	326	1	[	[	X
ejpam-5994	326	2	22	22	NUM
ejpam-5994	326	3	]	]	PUNCT
ejpam-5994	326	4	t.	t.	PROPN
ejpam-5994	326	5	t.	t.	PROPN
ejpam-5994	326	6	phong	phong	PROPN
ejpam-5994	326	7	and	and	CCONJ
ejpam-5994	326	8	l.	l.	PROPN
ejpam-5994	326	9	d.	d.	PROPN
ejpam-5994	326	10	long	long	PROPN
ejpam-5994	326	11	.	.	PUNCT
ejpam-5994	327	1	well	well	ADV
ejpam-5994	327	2	-	-	PUNCT
ejpam-5994	327	3	posed	pose	VERB
ejpam-5994	327	4	results	result	NOUN
ejpam-5994	327	5	for	for	ADP
ejpam-5994	327	6	nonlocal	nonlocal	ADJ
ejpam-5994	327	7	fractional	fractional	ADJ
ejpam-5994	327	8	parabolic	parabolic	NOUN
ejpam-5994	327	9	equation	equation	NOUN
ejpam-5994	327	10	involving	involve	VERB
ejpam-5994	327	11	caputo	caputo	PROPN
ejpam-5994	327	12	-	-	PUNCT
ejpam-5994	327	13	fabrizio	fabrizio	PROPN
ejpam-5994	327	14	operator	operator	NOUN
ejpam-5994	327	15	.	.	PUNCT
ejpam-5994	328	1	journal	journal	PROPN
ejpam-5994	328	2	of	of	ADP
ejpam-5994	328	3	mathematical	mathematical	ADJ
ejpam-5994	328	4	and	and	CCONJ
ejpam-5994	328	5	computational	computational	ADJ
ejpam-5994	328	6	science	science	NOUN
ejpam-5994	328	7	,	,	PUNCT
ejpam-5994	328	8	26:11	26:11	NUM
ejpam-5994	328	9	,	,	PUNCT
ejpam-5994	328	10	2022	2022	NUM
ejpam-5994	328	11	.	.	PUNCT
ejpam-5994	329	1	[	[	X
ejpam-5994	329	2	23	23	NUM
ejpam-5994	329	3	]	]	PUNCT
ejpam-5994	329	4	s.	s.	PROPN
ejpam-5994	329	5	zhang	zhang	PROPN
ejpam-5994	329	6	.	.	PUNCT
ejpam-5994	330	1	positive	positive	ADJ
ejpam-5994	330	2	solutions	solution	NOUN
ejpam-5994	330	3	for	for	ADP
ejpam-5994	330	4	boundary	boundary	ADJ
ejpam-5994	330	5	-	-	PUNCT
ejpam-5994	330	6	value	value	NOUN
ejpam-5994	330	7	problems	problem	NOUN
ejpam-5994	330	8	of	of	ADP
ejpam-5994	330	9	nonlinear	nonlinear	ADJ
ejpam-5994	330	10	fractional	fractional	ADJ
ejpam-5994	330	11	differential	differential	NOUN
ejpam-5994	330	12	equation	equation	NOUN
ejpam-5994	330	13	.	.	PUNCT
ejpam-5994	331	1	electronic	electronic	ADJ
ejpam-5994	331	2	journal	journal	NOUN
ejpam-5994	331	3	of	of	ADP
ejpam-5994	331	4	differential	differential	ADJ
ejpam-5994	331	5	equations	equation	NOUN
ejpam-5994	331	6	,	,	PUNCT
ejpam-5994	331	7	36:12	36:12	NUM
ejpam-5994	331	8	,	,	PUNCT
ejpam-5994	331	9	2006	2006	NUM
ejpam-5994	331	10	.	.	PUNCT