id	sid	tid	token	lemma	pos
ejpam-7057	1	1	european	european	PROPN
ejpam-7057	1	2	journal	journal	PROPN
ejpam-7057	1	3	of	of	ADP
ejpam-7057	1	4	pure	pure	ADJ
ejpam-7057	1	5	and	and	CCONJ
ejpam-7057	1	6	applied	applied	ADJ
ejpam-7057	1	7	mathematics	mathematic	NOUN
ejpam-7057	1	8	2025	2025	NUM
ejpam-7057	1	9	,	,	PUNCT
ejpam-7057	1	10	vol	vol	NOUN
ejpam-7057	1	11	.	.	PROPN
ejpam-7057	1	12	18	18	NUM
ejpam-7057	1	13	,	,	PUNCT
ejpam-7057	1	14	issue	issue	NOUN
ejpam-7057	1	15	4	4	NUM
ejpam-7057	1	16	,	,	PUNCT
ejpam-7057	1	17	article	article	NOUN
ejpam-7057	1	18	number	number	NOUN
ejpam-7057	1	19	7057	7057	NUM
ejpam-7057	1	20	issn	issn	VERB
ejpam-7057	1	21	1307	1307	NUM
ejpam-7057	1	22	-	-	SYM
ejpam-7057	1	23	5543	5543	NUM
ejpam-7057	1	24	–	–	PUNCT
ejpam-7057	1	25	ejpam.com	ejpam.com	X
ejpam-7057	1	26	published	publish	VERB
ejpam-7057	1	27	by	by	ADP
ejpam-7057	1	28	new	new	PROPN
ejpam-7057	1	29	york	york	PROPN
ejpam-7057	1	30	business	business	PROPN
ejpam-7057	1	31	global	global	PROPN
ejpam-7057	1	32	eigenvalue	eigenvalue	PROPN
ejpam-7057	1	33	analysis	analysis	NOUN
ejpam-7057	1	34	and	and	CCONJ
ejpam-7057	1	35	simultaneous	simultaneous	ADJ
ejpam-7057	1	36	nilpotence	nilpotence	NOUN
ejpam-7057	1	37	in	in	ADP
ejpam-7057	1	38	intuitionistic	intuitionistic	ADJ
ejpam-7057	1	39	fuzzy	fuzzy	ADJ
ejpam-7057	1	40	matrices	matrix	NOUN
ejpam-7057	1	41	sarah	sarah	PROPN
ejpam-7057	1	42	aljohani1	aljohani1	PROPN
ejpam-7057	1	43	,	,	PUNCT
ejpam-7057	1	44	riyaz	riyaz	PROPN
ejpam-7057	1	45	ahmad	ahmad	PROPN
ejpam-7057	1	46	padder2,∗	padder2,∗	PROPN
ejpam-7057	1	47	,	,	PUNCT
ejpam-7057	1	48	pratiksha	pratiksha	ADP
ejpam-7057	1	49	devshali3	devshali3	PROPN
ejpam-7057	1	50	1	1	NUM
ejpam-7057	1	51	department	department	NOUN
ejpam-7057	1	52	of	of	ADP
ejpam-7057	1	53	mathematics	mathematic	NOUN
ejpam-7057	1	54	and	and	CCONJ
ejpam-7057	1	55	sciences	science	NOUN
ejpam-7057	1	56	,	,	PUNCT
ejpam-7057	1	57	prince	prince	PROPN
ejpam-7057	1	58	sultan	sultan	PROPN
ejpam-7057	1	59	university	university	PROPN
ejpam-7057	1	60	,	,	PUNCT
ejpam-7057	1	61	riyadh	riyadh	NOUN
ejpam-7057	1	62	,	,	PUNCT
ejpam-7057	1	63	11586	11586	NUM
ejpam-7057	1	64	,	,	PUNCT
ejpam-7057	1	65	saudi	saudi	PROPN
ejpam-7057	1	66	arabia	arabia	PROPN
ejpam-7057	1	67	2	2	NUM
ejpam-7057	1	68	department	department	NOUN
ejpam-7057	1	69	of	of	ADP
ejpam-7057	1	70	mathematics	mathematic	NOUN
ejpam-7057	1	71	,	,	PUNCT
ejpam-7057	1	72	school	school	NOUN
ejpam-7057	1	73	of	of	ADP
ejpam-7057	1	74	chemical	chemical	NOUN
ejpam-7057	1	75	engineering	engineering	NOUN
ejpam-7057	1	76	and	and	CCONJ
ejpam-7057	1	77	physical	physical	ADJ
ejpam-7057	1	78	sciences	science	NOUN
ejpam-7057	1	79	,	,	PUNCT
ejpam-7057	1	80	lovely	lovely	ADJ
ejpam-7057	1	81	professional	professional	ADJ
ejpam-7057	1	82	university	university	NOUN
ejpam-7057	1	83	,	,	PUNCT
ejpam-7057	1	84	jalandhar	jalandhar	PROPN
ejpam-7057	1	85	,	,	PUNCT
ejpam-7057	1	86	punjab	punjab	PROPN
ejpam-7057	1	87	,	,	PUNCT
ejpam-7057	1	88	india	india	PROPN
ejpam-7057	1	89	3	3	NUM
ejpam-7057	1	90	symbiosis	symbiosis	NOUN
ejpam-7057	1	91	institute	institute	NOUN
ejpam-7057	1	92	of	of	ADP
ejpam-7057	1	93	technology	technology	PROPN
ejpam-7057	1	94	pune	pune	NOUN
ejpam-7057	1	95	,	,	PUNCT
ejpam-7057	1	96	symbiosis	symbiosis	NOUN
ejpam-7057	1	97	international	international	ADJ
ejpam-7057	1	98	(	(	PUNCT
ejpam-7057	1	99	deemed	deem	VERB
ejpam-7057	1	100	)	)	PUNCT
ejpam-7057	1	101	university	university	NOUN
ejpam-7057	1	102	,	,	PUNCT
ejpam-7057	1	103	pune	pune	NOUN
ejpam-7057	1	104	,	,	PUNCT
ejpam-7057	1	105	india	india	PROPN
ejpam-7057	1	106	abstract	abstract	PROPN
ejpam-7057	1	107	.	.	PUNCT
ejpam-7057	2	1	nilpotent	nilpotent	PROPN
ejpam-7057	2	2	intuitionistic	intuitionistic	ADJ
ejpam-7057	2	3	fuzzy	fuzzy	ADJ
ejpam-7057	2	4	matrices	matrix	NOUN
ejpam-7057	2	5	are	be	AUX
ejpam-7057	2	6	an	an	DET
ejpam-7057	2	7	important	important	ADJ
ejpam-7057	2	8	tool	tool	NOUN
ejpam-7057	2	9	for	for	ADP
ejpam-7057	2	10	analysis	analysis	NOUN
ejpam-7057	2	11	of	of	ADP
ejpam-7057	2	12	intuitionistic	intuitionistic	ADJ
ejpam-7057	2	13	fuzzy	fuzzy	ADJ
ejpam-7057	2	14	matrices	matrix	NOUN
ejpam-7057	2	15	.	.	PUNCT
ejpam-7057	3	1	we	we	PRON
ejpam-7057	3	2	first	first	ADV
ejpam-7057	3	3	examine	examine	VERB
ejpam-7057	3	4	different	different	ADJ
ejpam-7057	3	5	nilpotent	nilpotent	ADJ
ejpam-7057	3	6	conditions	condition	NOUN
ejpam-7057	3	7	of	of	ADP
ejpam-7057	3	8	such	such	ADJ
ejpam-7057	3	9	matrices	matrix	NOUN
ejpam-7057	3	10	in	in	ADP
ejpam-7057	3	11	terms	term	NOUN
ejpam-7057	3	12	of	of	ADP
ejpam-7057	3	13	their	their	PRON
ejpam-7057	3	14	eigenvalues	eigenvalue	NOUN
ejpam-7057	3	15	in	in	ADP
ejpam-7057	3	16	this	this	DET
ejpam-7057	3	17	research	research	NOUN
ejpam-7057	3	18	work	work	NOUN
ejpam-7057	3	19	.	.	PUNCT
ejpam-7057	4	1	the	the	DET
ejpam-7057	4	2	notion	notion	NOUN
ejpam-7057	4	3	of	of	ADP
ejpam-7057	4	4	nilpotence	nilpotence	NOUN
ejpam-7057	4	5	is	be	AUX
ejpam-7057	4	6	generalized	generalize	VERB
ejpam-7057	4	7	to	to	PART
ejpam-7057	4	8	propose	propose	VERB
ejpam-7057	4	9	simultaneous	simultaneous	ADJ
ejpam-7057	4	10	nilpotence	nilpotence	NOUN
ejpam-7057	4	11	for	for	ADP
ejpam-7057	4	12	a	a	DET
ejpam-7057	4	13	finite	finite	ADJ
ejpam-7057	4	14	set	set	NOUN
ejpam-7057	4	15	of	of	ADP
ejpam-7057	4	16	intuitionistic	intuitionistic	ADJ
ejpam-7057	4	17	fuzzy	fuzzy	ADJ
ejpam-7057	4	18	matrices	matrix	NOUN
ejpam-7057	4	19	.	.	PUNCT
ejpam-7057	5	1	simultaneous	simultaneous	ADJ
ejpam-7057	5	2	nilpotence	nilpotence	NOUN
ejpam-7057	5	3	is	be	AUX
ejpam-7057	5	4	the	the	DET
ejpam-7057	5	5	situation	situation	NOUN
ejpam-7057	5	6	in	in	ADP
ejpam-7057	5	7	which	which	PRON
ejpam-7057	5	8	an	an	DET
ejpam-7057	5	9	infinite	infinite	ADJ
ejpam-7057	5	10	product	product	NOUN
ejpam-7057	5	11	of	of	ADP
ejpam-7057	5	12	a	a	DET
ejpam-7057	5	13	finite	finite	ADJ
ejpam-7057	5	14	number	number	NOUN
ejpam-7057	5	15	of	of	ADP
ejpam-7057	5	16	intuitionistic	intuitionistic	ADJ
ejpam-7057	5	17	fuzzy	fuzzy	ADJ
ejpam-7057	5	18	matrices	matrix	NOUN
ejpam-7057	5	19	approaches	approach	VERB
ejpam-7057	5	20	the	the	DET
ejpam-7057	5	21	zero	zero	NUM
ejpam-7057	5	22	matrix	matrix	NOUN
ejpam-7057	5	23	.	.	PUNCT
ejpam-7057	6	1	the	the	DET
ejpam-7057	6	2	basic	basic	ADJ
ejpam-7057	6	3	properties	property	NOUN
ejpam-7057	6	4	of	of	ADP
ejpam-7057	6	5	this	this	DET
ejpam-7057	6	6	extended	extend	VERB
ejpam-7057	6	7	concept	concept	NOUN
ejpam-7057	6	8	are	be	AUX
ejpam-7057	6	9	also	also	ADV
ejpam-7057	6	10	formulated	formulate	VERB
ejpam-7057	6	11	.	.	PUNCT
ejpam-7057	7	1	2020	2020	NUM
ejpam-7057	7	2	mathematics	mathematic	NOUN
ejpam-7057	7	3	subject	subject	NOUN
ejpam-7057	7	4	classifications	classification	NOUN
ejpam-7057	7	5	:	:	PUNCT
ejpam-7057	7	6	03e72	03e72	NUM
ejpam-7057	7	7	,	,	PUNCT
ejpam-7057	7	8	15b15	15b15	NUM
ejpam-7057	7	9	key	key	ADJ
ejpam-7057	7	10	words	word	NOUN
ejpam-7057	7	11	and	and	CCONJ
ejpam-7057	7	12	phrases	phrase	NOUN
ejpam-7057	7	13	:	:	PUNCT
ejpam-7057	7	14	eigenvalues	eigenvalue	NOUN
ejpam-7057	7	15	,	,	PUNCT
ejpam-7057	7	16	simultaneous	simultaneous	ADJ
ejpam-7057	7	17	nilpotence	nilpotence	NOUN
ejpam-7057	7	18	,	,	PUNCT
ejpam-7057	7	19	directed	direct	VERB
ejpam-7057	7	20	graph	graph	NOUN
ejpam-7057	7	21	1	1	NUM
ejpam-7057	7	22	.	.	PUNCT
ejpam-7057	8	1	introduction	introduction	NOUN
ejpam-7057	8	2	uncertainty	uncertainty	NOUN
ejpam-7057	8	3	is	be	AUX
ejpam-7057	8	4	a	a	DET
ejpam-7057	8	5	key	key	ADJ
ejpam-7057	8	6	component	component	NOUN
ejpam-7057	8	7	of	of	ADP
ejpam-7057	8	8	most	most	ADJ
ejpam-7057	8	9	areas	area	NOUN
ejpam-7057	8	10	of	of	ADP
ejpam-7057	8	11	everyday	everyday	ADJ
ejpam-7057	8	12	life	life	NOUN
ejpam-7057	8	13	.	.	PUNCT
ejpam-7057	9	1	real	real	ADJ
ejpam-7057	9	2	-	-	PUNCT
ejpam-7057	9	3	world	world	NOUN
ejpam-7057	9	4	issues	issue	NOUN
ejpam-7057	9	5	in	in	ADP
ejpam-7057	9	6	medicine	medicine	NOUN
ejpam-7057	9	7	,	,	PUNCT
ejpam-7057	9	8	engineering	engineering	NOUN
ejpam-7057	9	9	,	,	PUNCT
ejpam-7057	9	10	industry	industry	NOUN
ejpam-7057	9	11	,	,	PUNCT
ejpam-7057	9	12	and	and	CCONJ
ejpam-7057	9	13	economics	economic	NOUN
ejpam-7057	9	14	are	be	AUX
ejpam-7057	9	15	frequently	frequently	ADV
ejpam-7057	9	16	characterized	characterize	VERB
ejpam-7057	9	17	by	by	ADP
ejpam-7057	9	18	uncertain	uncertain	ADJ
ejpam-7057	9	19	or	or	CCONJ
ejpam-7057	9	20	imprecise	imprecise	ADJ
ejpam-7057	9	21	data	datum	NOUN
ejpam-7057	9	22	.	.	PUNCT
ejpam-7057	10	1	mathematical	mathematical	ADJ
ejpam-7057	10	2	methods	method	NOUN
ejpam-7057	10	3	are	be	AUX
ejpam-7057	10	4	not	not	PART
ejpam-7057	10	5	always	always	ADV
ejpam-7057	10	6	at	at	ADP
ejpam-7057	10	7	hand	hand	NOUN
ejpam-7057	10	8	to	to	PART
ejpam-7057	10	9	overcome	overcome	VERB
ejpam-7057	10	10	such	such	ADJ
ejpam-7057	10	11	difficulties	difficulty	NOUN
ejpam-7057	10	12	,	,	PUNCT
ejpam-7057	10	13	which	which	PRON
ejpam-7057	10	14	prompted	prompt	VERB
ejpam-7057	10	15	zadeh	zadeh	PROPN
ejpam-7057	10	16	[	[	X
ejpam-7057	10	17	1	1	NUM
ejpam-7057	10	18	]	]	PUNCT
ejpam-7057	10	19	to	to	PART
ejpam-7057	10	20	advance	advance	VERB
ejpam-7057	10	21	the	the	DET
ejpam-7057	10	22	idea	idea	NOUN
ejpam-7057	10	23	of	of	ADP
ejpam-7057	10	24	fuzzy	fuzzy	ADJ
ejpam-7057	10	25	set	set	NOUN
ejpam-7057	10	26	theory	theory	NOUN
ejpam-7057	10	27	a	a	DET
ejpam-7057	10	28	revolutionary	revolutionary	ADJ
ejpam-7057	10	29	instrument	instrument	NOUN
ejpam-7057	10	30	for	for	ADP
ejpam-7057	10	31	modeling	modeling	NOUN
ejpam-7057	10	32	and	and	CCONJ
ejpam-7057	10	33	analyzing	analyze	VERB
ejpam-7057	10	34	uncertainty	uncertainty	NOUN
ejpam-7057	10	35	when	when	SCONJ
ejpam-7057	10	36	classical	classical	ADJ
ejpam-7057	10	37	methods	method	NOUN
ejpam-7057	10	38	were	be	AUX
ejpam-7057	10	39	insufficient	insufficient	ADJ
ejpam-7057	10	40	.	.	PUNCT
ejpam-7057	11	1	since	since	SCONJ
ejpam-7057	11	2	then	then	ADV
ejpam-7057	11	3	,	,	PUNCT
ejpam-7057	11	4	fuzzy	fuzzy	ADJ
ejpam-7057	11	5	theory	theory	NOUN
ejpam-7057	11	6	and	and	CCONJ
ejpam-7057	11	7	its	its	PRON
ejpam-7057	11	8	extensions	extension	NOUN
ejpam-7057	11	9	have	have	AUX
ejpam-7057	11	10	made	make	VERB
ejpam-7057	11	11	enormous	enormous	ADJ
ejpam-7057	11	12	contributions	contribution	NOUN
ejpam-7057	11	13	to	to	ADP
ejpam-7057	11	14	a	a	DET
ejpam-7057	11	15	variety	variety	NOUN
ejpam-7057	11	16	of	of	ADP
ejpam-7057	11	17	mathematical	mathematical	ADJ
ejpam-7057	11	18	applications	application	NOUN
ejpam-7057	11	19	,	,	PUNCT
ejpam-7057	11	20	providing	provide	VERB
ejpam-7057	11	21	successful	successful	ADJ
ejpam-7057	11	22	approaches	approach	NOUN
ejpam-7057	11	23	to	to	ADP
ejpam-7057	11	24	manifold	manifold	ADJ
ejpam-7057	11	25	reallife	reallife	NOUN
ejpam-7057	11	26	problems	problem	NOUN
ejpam-7057	11	27	with	with	ADP
ejpam-7057	11	28	uncertainty	uncertainty	NOUN
ejpam-7057	11	29	.	.	PUNCT
ejpam-7057	12	1	to	to	PART
ejpam-7057	12	2	address	address	VERB
ejpam-7057	12	3	uncertainty	uncertainty	NOUN
ejpam-7057	12	4	problem	problem	NOUN
ejpam-7057	12	5	,	,	PUNCT
ejpam-7057	12	6	several	several	ADJ
ejpam-7057	12	7	extensions	extension	NOUN
ejpam-7057	12	8	and	and	CCONJ
ejpam-7057	12	9	variations	variation	NOUN
ejpam-7057	12	10	of	of	ADP
ejpam-7057	12	11	fuzzy	fuzzy	ADJ
ejpam-7057	12	12	set	set	NOUN
ejpam-7057	12	13	theory	theory	NOUN
ejpam-7057	12	14	have	have	AUX
ejpam-7057	12	15	been	be	AUX
ejpam-7057	12	16	developed	develop	VERB
ejpam-7057	12	17	,	,	PUNCT
ejpam-7057	12	18	including	include	VERB
ejpam-7057	12	19	vague	vague	ADJ
ejpam-7057	12	20	sets	set	NOUN
ejpam-7057	12	21	,	,	PUNCT
ejpam-7057	12	22	rough	rough	ADJ
ejpam-7057	12	23	sets	set	NOUN
ejpam-7057	12	24	,	,	PUNCT
ejpam-7057	12	25	intuitionistic	intuitionistic	ADJ
ejpam-7057	12	26	fuzzy	fuzzy	ADJ
ejpam-7057	12	27	sets	set	NOUN
ejpam-7057	12	28	,	,	PUNCT
ejpam-7057	12	29	soft	soft	ADJ
ejpam-7057	12	30	sets	set	NOUN
ejpam-7057	12	31	,	,	PUNCT
ejpam-7057	12	32	and	and	CCONJ
ejpam-7057	12	33	so	so	ADV
ejpam-7057	12	34	on	on	ADV
ejpam-7057	12	35	.	.	PUNCT
ejpam-7057	13	1	a	a	DET
ejpam-7057	13	2	fuzzy	fuzzy	ADJ
ejpam-7057	13	3	matrix	matrix	NOUN
ejpam-7057	13	4	(	(	PUNCT
ejpam-7057	13	5	fm	fm	NOUN
ejpam-7057	13	6	)	)	PUNCT
ejpam-7057	13	7	is	be	AUX
ejpam-7057	13	8	a	a	DET
ejpam-7057	13	9	matrix	matrix	NOUN
ejpam-7057	13	10	whose	whose	DET
ejpam-7057	13	11	entries	entry	NOUN
ejpam-7057	13	12	are	be	AUX
ejpam-7057	13	13	in	in	ADP
ejpam-7057	13	14	the	the	DET
ejpam-7057	13	15	closed	closed	ADJ
ejpam-7057	13	16	interval	interval	NOUN
ejpam-7057	13	17	[	[	X
ejpam-7057	13	18	0	0	NUM
ejpam-7057	13	19	,	,	PUNCT
ejpam-7057	13	20	1	1	NUM
ejpam-7057	13	21	]	]	PUNCT
ejpam-7057	13	22	.	.	PUNCT
ejpam-7057	14	1	fms	fms	PROPN
ejpam-7057	14	2	were	be	AUX
ejpam-7057	14	3	introduced	introduce	VERB
ejpam-7057	14	4	by	by	ADP
ejpam-7057	14	5	kim	kim	PROPN
ejpam-7057	14	6	and	and	CCONJ
ejpam-7057	14	7	roush	roush	PROPN
ejpam-7057	15	1	[	[	X
ejpam-7057	15	2	2	2	NUM
ejpam-7057	15	3	]	]	PUNCT
ejpam-7057	15	4	,	,	PUNCT
ejpam-7057	15	5	and	and	CCONJ
ejpam-7057	15	6	they	they	PRON
ejpam-7057	15	7	∗corresponding	∗corresponde	VERB
ejpam-7057	15	8	author	author	NOUN
ejpam-7057	15	9	.	.	PUNCT
ejpam-7057	16	1	doi	doi	NOUN
ejpam-7057	16	2	:	:	PUNCT
ejpam-7057	16	3	https://doi.org/10.29020/nybg.ejpam.v18i4.7057	https://doi.org/10.29020/nybg.ejpam.v18i4.7057	SCONJ
ejpam-7057	16	4	email	email	NOUN
ejpam-7057	16	5	addresses	address	NOUN
ejpam-7057	16	6	:	:	PUNCT
ejpam-7057	16	7	riyaz.28709@lpu.co.in	riyaz.28709@lpu.co.in	PROPN
ejpam-7057	16	8	(	(	PUNCT
ejpam-7057	16	9	r.	r.	PROPN
ejpam-7057	16	10	a.	a.	NOUN
ejpam-7057	16	11	padder	padder	PROPN
ejpam-7057	16	12	)	)	PUNCT
ejpam-7057	16	13	,	,	PUNCT
ejpam-7057	16	14	sjohani@psu.edu.sa	sjohani@psu.edu.sa	PROPN
ejpam-7057	16	15	(	(	PUNCT
ejpam-7057	16	16	s.	s.	PROPN
ejpam-7057	16	17	aljohani	aljohani	PROPN
ejpam-7057	16	18	)	)	PUNCT
ejpam-7057	16	19	,	,	PUNCT
ejpam-7057	16	20	pratiksha.bhavsar@sitpune.edu.in	pratiksha.bhavsar@sitpune.edu.in	NOUN
ejpam-7057	16	21	(	(	PUNCT
ejpam-7057	16	22	p.	p.	NOUN
ejpam-7057	16	23	devshali	devshali	ADJ
ejpam-7057	16	24	)	)	PUNCT
ejpam-7057	16	25	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-7057	16	26	1	1	NUM
ejpam-7057	16	27	copyright	copyright	NOUN
ejpam-7057	16	28	:	:	PUNCT
ejpam-7057	16	29	©	©	PROPN
ejpam-7057	16	30	2025	2025	NUM
ejpam-7057	16	31	the	the	DET
ejpam-7057	16	32	author(s	author(s	NOUN
ejpam-7057	16	33	)	)	PUNCT
ejpam-7057	16	34	.	.	PUNCT
ejpam-7057	17	1	(	(	PUNCT
ejpam-7057	17	2	cc	cc	NOUN
ejpam-7057	17	3	by	by	ADP
ejpam-7057	17	4	-	-	PUNCT
ejpam-7057	17	5	nc	nc	PROPN
ejpam-7057	17	6	4.0	4.0	NUM
ejpam-7057	17	7	)	)	PUNCT
ejpam-7057	17	8	s.	s.	PROPN
ejpam-7057	17	9	aljohani	aljohani	PROPN
ejpam-7057	17	10	,	,	PUNCT
ejpam-7057	17	11	r.	r.	PROPN
ejpam-7057	17	12	a.	a.	NOUN
ejpam-7057	17	13	padder	padder	PROPN
ejpam-7057	17	14	,	,	PUNCT
ejpam-7057	17	15	p.	p.	PROPN
ejpam-7057	17	16	devshali	devshali	PROPN
ejpam-7057	17	17	/	/	SYM
ejpam-7057	17	18	eur	eur	PROPN
ejpam-7057	17	19	.	.	PUNCT
ejpam-7057	18	1	j.	j.	PROPN
ejpam-7057	18	2	pure	pure	PROPN
ejpam-7057	18	3	appl	appl	PROPN
ejpam-7057	18	4	.	.	PROPN
ejpam-7057	18	5	math	math	PROPN
ejpam-7057	18	6	,	,	PUNCT
ejpam-7057	18	7	18	18	NUM
ejpam-7057	18	8	(	(	PUNCT
ejpam-7057	18	9	4	4	NUM
ejpam-7057	18	10	)	)	PUNCT
ejpam-7057	18	11	(	(	PUNCT
ejpam-7057	18	12	2025	2025	NUM
ejpam-7057	18	13	)	)	PUNCT
ejpam-7057	18	14	,	,	PUNCT
ejpam-7057	18	15	7057	7057	NUM
ejpam-7057	18	16	2	2	NUM
ejpam-7057	18	17	of	of	ADP
ejpam-7057	18	18	11	11	NUM
ejpam-7057	18	19	have	have	AUX
ejpam-7057	18	20	been	be	AUX
ejpam-7057	18	21	widely	widely	ADV
ejpam-7057	18	22	studied	study	VERB
ejpam-7057	18	23	ever	ever	ADV
ejpam-7057	18	24	since	since	ADV
ejpam-7057	18	25	because	because	SCONJ
ejpam-7057	18	26	of	of	ADP
ejpam-7057	18	27	their	their	PRON
ejpam-7057	18	28	universality	universality	NOUN
ejpam-7057	18	29	of	of	ADP
ejpam-7057	18	30	application	application	NOUN
ejpam-7057	18	31	in	in	ADP
ejpam-7057	18	32	science	science	NOUN
ejpam-7057	18	33	and	and	CCONJ
ejpam-7057	18	34	engineering	engineering	NOUN
ejpam-7057	18	35	and	and	CCONJ
ejpam-7057	18	36	,	,	PUNCT
ejpam-7057	18	37	in	in	ADP
ejpam-7057	18	38	particular	particular	ADJ
ejpam-7057	18	39	,	,	PUNCT
ejpam-7057	18	40	in	in	ADP
ejpam-7057	18	41	solving	solve	VERB
ejpam-7057	18	42	problems	problem	NOUN
ejpam-7057	18	43	with	with	ADP
ejpam-7057	18	44	uncertainty	uncertainty	NOUN
ejpam-7057	18	45	[	[	X
ejpam-7057	18	46	3	3	NUM
ejpam-7057	18	47	]	]	PUNCT
ejpam-7057	18	48	.	.	PUNCT
ejpam-7057	19	1	meenakshi	meenakshi	PROPN
ejpam-7057	20	1	[	[	X
ejpam-7057	20	2	4	4	NUM
ejpam-7057	20	3	]	]	PUNCT
ejpam-7057	20	4	investageted	investageted	ADJ
ejpam-7057	20	5	minus	minus	CCONJ
ejpam-7057	20	6	ordering	ordering	NOUN
ejpam-7057	20	7	,	,	PUNCT
ejpam-7057	20	8	space	space	NOUN
ejpam-7057	20	9	ordering	ordering	NOUN
ejpam-7057	20	10	,	,	PUNCT
ejpam-7057	20	11	and	and	CCONJ
ejpam-7057	20	12	the	the	DET
ejpam-7057	20	13	schur	schur	PROPN
ejpam-7057	20	14	complement	complement	NOUN
ejpam-7057	20	15	of	of	ADP
ejpam-7057	20	16	fms	fms	PROPN
ejpam-7057	20	17	and	and	CCONJ
ejpam-7057	20	18	block	block	VERB
ejpam-7057	20	19	fms	fms	PROPN
ejpam-7057	20	20	.	.	PUNCT
ejpam-7057	21	1	ran	run	VERB
ejpam-7057	21	2	and	and	CCONJ
ejpam-7057	21	3	liu	liu	PROPN
ejpam-7057	22	1	[	[	X
ejpam-7057	22	2	5	5	NUM
ejpam-7057	22	3	]	]	PUNCT
ejpam-7057	22	4	,	,	PUNCT
ejpam-7057	22	5	buckley	buckley	NOUN
ejpam-7057	22	6	[	[	X
ejpam-7057	22	7	6	6	NUM
ejpam-7057	22	8	]	]	PUNCT
ejpam-7057	22	9	,	,	PUNCT
ejpam-7057	22	10	and	and	CCONJ
ejpam-7057	22	11	gregory	gregory	PROPN
ejpam-7057	22	12	et	et	PROPN
ejpam-7057	22	13	al	al	PROPN
ejpam-7057	22	14	.	.	PUNCT
ejpam-7057	23	1	[	[	X
ejpam-7057	23	2	7	7	X
ejpam-7057	23	3	]	]	PUNCT
ejpam-7057	23	4	showed	show	VERB
ejpam-7057	23	5	that	that	SCONJ
ejpam-7057	23	6	,	,	PUNCT
ejpam-7057	23	7	under	under	ADP
ejpam-7057	23	8	the	the	DET
ejpam-7057	23	9	max	max	PROPN
ejpam-7057	23	10	–	–	PUNCT
ejpam-7057	23	11	min	min	NOUN
ejpam-7057	23	12	operation	operation	NOUN
ejpam-7057	23	13	,	,	PUNCT
ejpam-7057	23	14	an	an	DET
ejpam-7057	23	15	fm	fm	NOUN
ejpam-7057	23	16	converges	converge	VERB
ejpam-7057	23	17	to	to	ADP
ejpam-7057	23	18	an	an	DET
ejpam-7057	23	19	idempotent	idempotent	ADJ
ejpam-7057	23	20	matrix	matrix	NOUN
ejpam-7057	23	21	or	or	CCONJ
ejpam-7057	23	22	else	else	ADV
ejpam-7057	23	23	has	have	AUX
ejpam-7057	23	24	finite	finite	VERB
ejpam-7057	23	25	periodic	periodic	ADJ
ejpam-7057	23	26	oscillation	oscillation	NOUN
ejpam-7057	23	27	.	.	PUNCT
ejpam-7057	24	1	hashimoto	hashimoto	NOUN
ejpam-7057	25	1	[	[	X
ejpam-7057	25	2	8	8	NUM
ejpam-7057	25	3	]	]	PUNCT
ejpam-7057	25	4	investigated	investigate	VERB
ejpam-7057	25	5	the	the	DET
ejpam-7057	25	6	convergence	convergence	NOUN
ejpam-7057	25	7	property	property	NOUN
ejpam-7057	25	8	of	of	ADP
ejpam-7057	25	9	powers	power	NOUN
ejpam-7057	25	10	of	of	ADP
ejpam-7057	25	11	fuzzy	fuzzy	ADJ
ejpam-7057	25	12	transitive	transitive	ADJ
ejpam-7057	25	13	matrices	matrix	NOUN
ejpam-7057	25	14	.	.	PUNCT
ejpam-7057	26	1	in	in	ADP
ejpam-7057	26	2	recent	recent	ADJ
ejpam-7057	26	3	years	year	NOUN
ejpam-7057	26	4	,	,	PUNCT
ejpam-7057	26	5	numerous	numerous	ADJ
ejpam-7057	26	6	researchers	researcher	NOUN
ejpam-7057	26	7	have	have	AUX
ejpam-7057	26	8	further	far	ADV
ejpam-7057	26	9	developed	develop	VERB
ejpam-7057	26	10	the	the	DET
ejpam-7057	26	11	theory	theory	NOUN
ejpam-7057	26	12	of	of	ADP
ejpam-7057	26	13	fms	fms	PROPN
ejpam-7057	27	1	[	[	X
ejpam-7057	27	2	9	9	NUM
ejpam-7057	27	3	]	]	PUNCT
ejpam-7057	27	4	.	.	PUNCT
ejpam-7057	28	1	while	while	SCONJ
ejpam-7057	28	2	fms	fms	PROPN
ejpam-7057	28	3	contain	contain	VERB
ejpam-7057	28	4	membership	membership	NOUN
ejpam-7057	28	5	values	value	NOUN
ejpam-7057	28	6	alone	alone	ADV
ejpam-7057	28	7	,	,	PUNCT
ejpam-7057	28	8	intuitionistic	intuitionistic	ADJ
ejpam-7057	28	9	fuzzy	fuzzy	ADJ
ejpam-7057	28	10	matrices	matrix	NOUN
ejpam-7057	28	11	(	(	PUNCT
ejpam-7057	28	12	ifms	ifms	NOUN
ejpam-7057	28	13	)	)	PUNCT
ejpam-7057	28	14	consists	consist	VERB
ejpam-7057	28	15	membership	membership	NOUN
ejpam-7057	28	16	and	and	CCONJ
ejpam-7057	28	17	non	non	ADJ
ejpam-7057	28	18	-	-	ADJ
ejpam-7057	28	19	membership	membership	ADJ
ejpam-7057	28	20	values	value	NOUN
ejpam-7057	28	21	and	and	CCONJ
ejpam-7057	28	22	are	be	AUX
ejpam-7057	28	23	a	a	DET
ejpam-7057	28	24	more	more	ADV
ejpam-7057	28	25	comprehensive	comprehensive	ADJ
ejpam-7057	28	26	framework	framework	NOUN
ejpam-7057	28	27	for	for	ADP
ejpam-7057	28	28	uncertainty	uncertainty	NOUN
ejpam-7057	28	29	modeling	modeling	NOUN
ejpam-7057	28	30	.	.	PUNCT
ejpam-7057	29	1	ifms	ifms	PROPN
ejpam-7057	29	2	were	be	AUX
ejpam-7057	29	3	first	first	ADV
ejpam-7057	29	4	introduced	introduce	VERB
ejpam-7057	29	5	by	by	ADP
ejpam-7057	29	6	khan	khan	PROPN
ejpam-7057	29	7	et	et	PROPN
ejpam-7057	29	8	al	al	PROPN
ejpam-7057	29	9	.	.	PUNCT
ejpam-7057	30	1	[	[	X
ejpam-7057	30	2	10	10	NUM
ejpam-7057	30	3	]	]	PUNCT
ejpam-7057	30	4	,	,	PUNCT
ejpam-7057	30	5	and	and	CCONJ
ejpam-7057	30	6	some	some	PRON
ejpam-7057	30	7	of	of	ADP
ejpam-7057	30	8	their	their	PRON
ejpam-7057	30	9	properties	property	NOUN
ejpam-7057	30	10	have	have	AUX
ejpam-7057	30	11	been	be	AUX
ejpam-7057	30	12	studied	study	VERB
ejpam-7057	30	13	further	far	ADV
ejpam-7057	30	14	in	in	ADP
ejpam-7057	30	15	[	[	X
ejpam-7057	30	16	11	11	NUM
ejpam-7057	30	17	]	]	PUNCT
ejpam-7057	30	18	.	.	PUNCT
ejpam-7057	31	1	convergence	convergence	NOUN
ejpam-7057	31	2	of	of	ADP
ejpam-7057	31	3	max	max	PROPN
ejpam-7057	31	4	–	–	PUNCT
ejpam-7057	31	5	min	min	NOUN
ejpam-7057	31	6	powers	power	NOUN
ejpam-7057	31	7	of	of	ADP
ejpam-7057	31	8	ifms	ifms	NOUN
ejpam-7057	31	9	was	be	AUX
ejpam-7057	31	10	researched	research	VERB
ejpam-7057	31	11	by	by	ADP
ejpam-7057	31	12	bhowmik	bhowmik	ADJ
ejpam-7057	31	13	and	and	CCONJ
ejpam-7057	31	14	pal	pal	ADJ
ejpam-7057	31	15	[	[	X
ejpam-7057	31	16	12	12	NUM
ejpam-7057	31	17	]	]	PUNCT
ejpam-7057	31	18	,	,	PUNCT
ejpam-7057	31	19	whereas	whereas	SCONJ
ejpam-7057	31	20	mean	mean	ADJ
ejpam-7057	31	21	powers	power	NOUN
ejpam-7057	31	22	of	of	ADP
ejpam-7057	31	23	convergence	convergence	NOUN
ejpam-7057	31	24	were	be	AUX
ejpam-7057	31	25	examined	examine	VERB
ejpam-7057	31	26	by	by	ADP
ejpam-7057	31	27	pradhan	pradhan	NOUN
ejpam-7057	31	28	and	and	CCONJ
ejpam-7057	31	29	pal	pal	ADJ
ejpam-7057	32	1	[	[	X
ejpam-7057	32	2	13	13	NUM
ejpam-7057	32	3	]	]	PUNCT
ejpam-7057	32	4	.	.	PUNCT
ejpam-7057	33	1	lur	lur	PROPN
ejpam-7057	33	2	et	et	PROPN
ejpam-7057	33	3	al	al	PROPN
ejpam-7057	33	4	.	.	PUNCT
ejpam-7057	34	1	[	[	X
ejpam-7057	34	2	14	14	NUM
ejpam-7057	34	3	]	]	PUNCT
ejpam-7057	34	4	analyzed	analyze	VERB
ejpam-7057	34	5	the	the	DET
ejpam-7057	34	6	behavior	behavior	NOUN
ejpam-7057	34	7	of	of	ADP
ejpam-7057	34	8	convergence	convergence	NOUN
ejpam-7057	34	9	of	of	ADP
ejpam-7057	34	10	ifm	ifm	PROPN
ejpam-7057	34	11	powers	power	NOUN
ejpam-7057	34	12	.	.	PUNCT
ejpam-7057	35	1	simplify	simplify	NOUN
ejpam-7057	35	2	eigenvalue	eigenvalue	VERB
ejpam-7057	35	3	analysis	analysis	NOUN
ejpam-7057	35	4	and	and	CCONJ
ejpam-7057	35	5	characterize	characterize	VERB
ejpam-7057	35	6	simultaneous	simultaneous	ADJ
ejpam-7057	35	7	nilpotence	nilpotence	NOUN
ejpam-7057	35	8	conditions	condition	NOUN
ejpam-7057	35	9	in	in	ADP
ejpam-7057	35	10	intuitionistic	intuitionistic	ADJ
ejpam-7057	35	11	fuzzy	fuzzy	ADJ
ejpam-7057	35	12	matrices	matrix	NOUN
ejpam-7057	35	13	through	through	ADP
ejpam-7057	35	14	polynomial	polynomial	ADJ
ejpam-7057	35	15	expansions	expansion	NOUN
ejpam-7057	35	16	and	and	CCONJ
ejpam-7057	35	17	kernel	kernel	PROPN
ejpam-7057	35	18	methods	method	NOUN
ejpam-7057	35	19	are	be	AUX
ejpam-7057	35	20	given	give	VERB
ejpam-7057	35	21	by	by	ADP
ejpam-7057	35	22	[	[	NOUN
ejpam-7057	35	23	15–17	15–17	NUM
ejpam-7057	35	24	]	]	PUNCT
ejpam-7057	35	25	.	.	PUNCT
ejpam-7057	36	1	various	various	ADJ
ejpam-7057	36	2	researchers	researcher	NOUN
ejpam-7057	36	3	[	[	X
ejpam-7057	36	4	18–29	18–29	NUM
ejpam-7057	36	5	]	]	PUNCT
ejpam-7057	36	6	have	have	AUX
ejpam-7057	36	7	since	since	SCONJ
ejpam-7057	36	8	further	far	ADV
ejpam-7057	36	9	studied	study	VERB
ejpam-7057	36	10	ifms	ifms	NOUN
ejpam-7057	36	11	and	and	CCONJ
ejpam-7057	36	12	acquired	acquire	VERB
ejpam-7057	36	13	useful	useful	ADJ
ejpam-7057	36	14	results	result	NOUN
ejpam-7057	36	15	that	that	PRON
ejpam-7057	36	16	have	have	AUX
ejpam-7057	36	17	continued	continue	VERB
ejpam-7057	36	18	to	to	PART
ejpam-7057	36	19	enhance	enhance	VERB
ejpam-7057	36	20	their	their	PRON
ejpam-7057	36	21	use	use	NOUN
ejpam-7057	36	22	in	in	ADP
ejpam-7057	36	23	practical	practical	ADJ
ejpam-7057	36	24	uncertainty	uncertainty	NOUN
ejpam-7057	36	25	problems	problem	NOUN
ejpam-7057	36	26	.	.	PUNCT
ejpam-7057	37	1	xin	xin	PROPN
ejpam-7057	38	1	[	[	X
ejpam-7057	38	2	30	30	NUM
ejpam-7057	38	3	]	]	PUNCT
ejpam-7057	38	4	presented	present	VERB
ejpam-7057	38	5	the	the	DET
ejpam-7057	38	6	concept	concept	NOUN
ejpam-7057	38	7	of	of	ADP
ejpam-7057	38	8	controllable	controllable	ADJ
ejpam-7057	38	9	fms	fms	PROPN
ejpam-7057	38	10	,	,	PUNCT
ejpam-7057	38	11	while	while	SCONJ
ejpam-7057	38	12	subsequently	subsequently	ADV
ejpam-7057	38	13	[	[	X
ejpam-7057	38	14	31	31	NUM
ejpam-7057	38	15	]	]	PUNCT
ejpam-7057	38	16	examined	examine	VERB
ejpam-7057	38	17	the	the	DET
ejpam-7057	38	18	convergence	convergence	NOUN
ejpam-7057	38	19	of	of	ADP
ejpam-7057	38	20	their	their	PRON
ejpam-7057	38	21	powers	power	NOUN
ejpam-7057	38	22	and	and	CCONJ
ejpam-7057	38	23	established	establish	VERB
ejpam-7057	38	24	results	result	NOUN
ejpam-7057	38	25	about	about	ADP
ejpam-7057	38	26	nilpotent	nilpotent	ADJ
ejpam-7057	38	27	fms	fms	PROPN
ejpam-7057	38	28	.	.	PUNCT
ejpam-7057	39	1	upon	upon	SCONJ
ejpam-7057	39	2	this	this	DET
ejpam-7057	39	3	basis	basis	NOUN
ejpam-7057	39	4	,	,	PUNCT
ejpam-7057	39	5	this	this	DET
ejpam-7057	39	6	paper	paper	NOUN
ejpam-7057	39	7	examines	examine	VERB
ejpam-7057	39	8	nilpotent	nilpotent	ADJ
ejpam-7057	39	9	ifm	ifm	NOUN
ejpam-7057	39	10	properties	property	NOUN
ejpam-7057	39	11	with	with	ADP
ejpam-7057	39	12	respect	respect	NOUN
ejpam-7057	39	13	to	to	ADP
ejpam-7057	39	14	their	their	PRON
ejpam-7057	39	15	eigenvalues	eigenvalue	NOUN
ejpam-7057	39	16	using	use	VERB
ejpam-7057	39	17	digraph	digraph	NOUN
ejpam-7057	39	18	,	,	PUNCT
ejpam-7057	39	19	thus	thus	ADV
ejpam-7057	39	20	further	far	ADV
ejpam-7057	39	21	developing	develop	VERB
ejpam-7057	39	22	theory	theory	NOUN
ejpam-7057	39	23	regarding	regard	VERB
ejpam-7057	39	24	ifms	ifms	NOUN
ejpam-7057	39	25	.	.	PUNCT
ejpam-7057	40	1	research	research	NOUN
ejpam-7057	40	2	gap	gap	NOUN
ejpam-7057	40	3	while	while	SCONJ
ejpam-7057	40	4	many	many	ADJ
ejpam-7057	40	5	aspects	aspect	NOUN
ejpam-7057	40	6	of	of	ADP
ejpam-7057	40	7	ifms	ifms	NOUN
ejpam-7057	40	8	have	have	AUX
ejpam-7057	40	9	been	be	AUX
ejpam-7057	40	10	explored	explore	VERB
ejpam-7057	40	11	,	,	PUNCT
ejpam-7057	40	12	the	the	DET
ejpam-7057	40	13	eigenvalue	eigenvalue	ADJ
ejpam-7057	40	14	properties	property	NOUN
ejpam-7057	40	15	of	of	ADP
ejpam-7057	40	16	nilpotent	nilpotent	ADJ
ejpam-7057	40	17	intuitionistic	intuitionistic	ADJ
ejpam-7057	40	18	fuzzy	fuzzy	ADJ
ejpam-7057	40	19	matrices	matrix	NOUN
ejpam-7057	40	20	have	have	AUX
ejpam-7057	40	21	received	receive	VERB
ejpam-7057	40	22	little	little	ADJ
ejpam-7057	40	23	attention	attention	NOUN
ejpam-7057	40	24	.	.	PUNCT
ejpam-7057	41	1	similarly	similarly	ADV
ejpam-7057	41	2	,	,	PUNCT
ejpam-7057	41	3	the	the	DET
ejpam-7057	41	4	concept	concept	NOUN
ejpam-7057	41	5	of	of	ADP
ejpam-7057	41	6	simultaneous	simultaneous	ADJ
ejpam-7057	41	7	nilpotence	nilpotence	NOUN
ejpam-7057	41	8	where	where	SCONJ
ejpam-7057	41	9	an	an	DET
ejpam-7057	41	10	infinite	infinite	ADJ
ejpam-7057	41	11	product	product	NOUN
ejpam-7057	41	12	of	of	ADP
ejpam-7057	41	13	matrices	matrix	NOUN
ejpam-7057	41	14	converges	converge	VERB
ejpam-7057	41	15	to	to	ADP
ejpam-7057	41	16	a	a	DET
ejpam-7057	41	17	zero	zero	NUM
ejpam-7057	41	18	matrix	matrix	NOUN
ejpam-7057	41	19	has	have	AUX
ejpam-7057	41	20	not	not	PART
ejpam-7057	41	21	been	be	AUX
ejpam-7057	41	22	systematically	systematically	ADV
ejpam-7057	41	23	studied	study	VERB
ejpam-7057	41	24	.	.	PUNCT
ejpam-7057	42	1	this	this	DET
ejpam-7057	42	2	oversight	oversight	NOUN
ejpam-7057	42	3	regarding	regard	VERB
ejpam-7057	42	4	the	the	DET
ejpam-7057	42	5	relationship	relationship	NOUN
ejpam-7057	42	6	between	between	ADP
ejpam-7057	42	7	eigenvalues	eigenvalue	NOUN
ejpam-7057	42	8	and	and	CCONJ
ejpam-7057	42	9	simultaneous	simultaneous	ADJ
ejpam-7057	42	10	nilpotence	nilpotence	NOUN
ejpam-7057	42	11	creates	create	VERB
ejpam-7057	42	12	a	a	DET
ejpam-7057	42	13	gap	gap	NOUN
ejpam-7057	42	14	in	in	ADP
ejpam-7057	42	15	the	the	DET
ejpam-7057	42	16	theoretical	theoretical	ADJ
ejpam-7057	42	17	understanding	understanding	NOUN
ejpam-7057	42	18	and	and	CCONJ
ejpam-7057	42	19	potential	potential	ADJ
ejpam-7057	42	20	applications	application	NOUN
ejpam-7057	42	21	of	of	ADP
ejpam-7057	42	22	intuitionistic	intuitionistic	ADJ
ejpam-7057	42	23	fuzzy	fuzzy	ADJ
ejpam-7057	42	24	matrices	matrix	NOUN
ejpam-7057	42	25	,	,	PUNCT
ejpam-7057	42	26	which	which	PRON
ejpam-7057	42	27	this	this	DET
ejpam-7057	42	28	study	study	NOUN
ejpam-7057	42	29	seeks	seek	VERB
ejpam-7057	42	30	to	to	PART
ejpam-7057	42	31	address	address	VERB
ejpam-7057	42	32	.	.	PUNCT
ejpam-7057	43	1	2	2	X
ejpam-7057	43	2	.	.	X
ejpam-7057	43	3	preliminaries	preliminary	NOUN
ejpam-7057	43	4	definition	definition	NOUN
ejpam-7057	43	5	1	1	NUM
ejpam-7057	43	6	.	.	PUNCT
ejpam-7057	44	1	[	[	X
ejpam-7057	44	2	32	32	NUM
ejpam-7057	44	3	]	]	PUNCT
ejpam-7057	44	4	an	an	DET
ejpam-7057	44	5	intuitionistic	intuitionistic	ADJ
ejpam-7057	44	6	fuzzy	fuzzy	ADJ
ejpam-7057	44	7	set	set	NOUN
ejpam-7057	44	8	(	(	PUNCT
ejpam-7057	44	9	ifs	ifs	PROPN
ejpam-7057	44	10	)	)	PUNCT
ejpam-7057	44	11	a	a	PRON
ejpam-7057	44	12	in	in	NOUN
ejpam-7057	44	13	x	x	X
ejpam-7057	44	14	is	be	AUX
ejpam-7057	44	15	of	of	ADP
ejpam-7057	44	16	the	the	DET
ejpam-7057	44	17	form	form	NOUN
ejpam-7057	44	18	a	a	DET
ejpam-7057	44	19	=	=	X
ejpam-7057	44	20	{	{	PUNCT
ejpam-7057	44	21	〈	〈	PROPN
ejpam-7057	44	22	x	x	X
ejpam-7057	44	23	,	,	PUNCT
ejpam-7057	44	24	µa(x	µa(x	ADV
ejpam-7057	44	25	)	)	PUNCT
ejpam-7057	44	26	,	,	PUNCT
ejpam-7057	44	27	ua(x)〉	ua(x)〉	NOUN
ejpam-7057	44	28	/	/	SYM
ejpam-7057	44	29	x	x	SYM
ejpam-7057	44	30	∈	∈	NOUN
ejpam-7057	44	31	x	x	NOUN
ejpam-7057	44	32	}	}	PUNCT
ejpam-7057	44	33	,	,	PUNCT
ejpam-7057	44	34	where	where	SCONJ
ejpam-7057	44	35	:	:	PUNCT
ejpam-7057	44	36	µa	µa	NOUN
ejpam-7057	44	37	:	:	PUNCT
ejpam-7057	44	38	x	x	X
ejpam-7057	44	39	→	→	SYM
ejpam-7057	45	1	[	[	X
ejpam-7057	45	2	0	0	NUM
ejpam-7057	45	3	,	,	PUNCT
ejpam-7057	45	4	1	1	NUM
ejpam-7057	45	5	]	]	PUNCT
ejpam-7057	45	6	and	and	CCONJ
ejpam-7057	45	7	νa	νa	VERB
ejpam-7057	45	8	:	:	PUNCT
ejpam-7057	45	9	x	x	X
ejpam-7057	45	10	→	→	SYM
ejpam-7057	45	11	[	[	X
ejpam-7057	45	12	0	0	NUM
ejpam-7057	45	13	,	,	PUNCT
ejpam-7057	45	14	1	1	NUM
ejpam-7057	45	15	]	]	PUNCT
ejpam-7057	45	16	denotes	denote	NOUN
ejpam-7057	45	17	membership	membership	NOUN
ejpam-7057	45	18	and	and	CCONJ
ejpam-7057	45	19	non	non	ADJ
ejpam-7057	45	20	-	-	ADJ
ejpam-7057	45	21	membership	membership	ADJ
ejpam-7057	45	22	function	function	NOUN
ejpam-7057	45	23	of	of	ADP
ejpam-7057	45	24	the	the	DET
ejpam-7057	45	25	member	member	NOUN
ejpam-7057	45	26	x	x	SYM
ejpam-7057	45	27	∈	∈	PROPN
ejpam-7057	45	28	x	x	NOUN
ejpam-7057	45	29	,	,	PUNCT
ejpam-7057	45	30	for	for	ADP
ejpam-7057	45	31	all	all	DET
ejpam-7057	45	32	x	x	SYM
ejpam-7057	45	33	∈	∈	NOUN
ejpam-7057	45	34	x	x	X
ejpam-7057	45	35	:	:	PUNCT
ejpam-7057	45	36	0	0	NUM
ejpam-7057	45	37	≤	≤	NUM
ejpam-7057	45	38	mua(x	mua(x	NOUN
ejpam-7057	45	39	)	)	PUNCT
ejpam-7057	45	40	+	+	NUM
ejpam-7057	45	41	νa(x	νa(x	NOUN
ejpam-7057	45	42	)	)	PUNCT
ejpam-7057	45	43	≤	≤	NUM
ejpam-7057	45	44	1	1	NUM
ejpam-7057	45	45	.	.	PUNCT
ejpam-7057	45	46	briefly	briefly	NOUN
ejpam-7057	45	47	we	we	PRON
ejpam-7057	45	48	express	express	VERB
ejpam-7057	45	49	〈	〈	PROPN
ejpam-7057	45	50	x	x	X
ejpam-7057	45	51	,	,	PUNCT
ejpam-7057	45	52	x′	x′	PROPN
ejpam-7057	45	53	〉	〉	NOUN
ejpam-7057	45	54	as	as	ADP
ejpam-7057	45	55	an	an	PRON
ejpam-7057	45	56	if	if	SCONJ
ejpam-7057	45	57	member	member	NOUN
ejpam-7057	45	58	with	with	ADP
ejpam-7057	45	59	x	x	PROPN
ejpam-7057	46	1	+	+	NUM
ejpam-7057	46	2	x′	x′	PROPN
ejpam-7057	46	3	≤	≤	ADV
ejpam-7057	46	4	1	1	NUM
ejpam-7057	46	5	.	.	PUNCT
ejpam-7057	46	6	for	for	ADP
ejpam-7057	46	7	〈	〈	PROPN
ejpam-7057	46	8	x	x	X
ejpam-7057	46	9	,	,	PUNCT
ejpam-7057	46	10	x′	x′	PROPN
ejpam-7057	46	11	〉	〉	NUM
ejpam-7057	46	12	,	,	PUNCT
ejpam-7057	46	13	〈	〈	PROPN
ejpam-7057	46	14	y	y	PROPN
ejpam-7057	46	15	,	,	PUNCT
ejpam-7057	46	16	y′	y′	NUM
ejpam-7057	46	17	〉	〉	PROPN
ejpam-7057	46	18	∈	∈	PROPN
ejpam-7057	46	19	ifs	ifs	PROPN
ejpam-7057	46	20	,	,	PUNCT
ejpam-7057	46	21	for	for	ADP
ejpam-7057	46	22	comparable	comparable	ADJ
ejpam-7057	46	23	members	member	NOUN
ejpam-7057	46	24	,	,	PUNCT
ejpam-7057	46	25	the	the	DET
ejpam-7057	46	26	operation	operation	NOUN
ejpam-7057	46	27	〈	〈	PROPN
ejpam-7057	46	28	x	x	PROPN
ejpam-7057	46	29	,	,	PUNCT
ejpam-7057	46	30	x′	x′	PROPN
ejpam-7057	46	31	〉	〉	NUM
ejpam-7057	46	32	↽	↽	NOUN
ejpam-7057	46	33	〈	〈	PROPN
ejpam-7057	46	34	y	y	PROPN
ejpam-7057	46	35	,	,	PUNCT
ejpam-7057	46	36	y′	y′	NUM
ejpam-7057	46	37	〉	〉	NOUN
ejpam-7057	46	38	is	be	AUX
ejpam-7057	46	39	expressed	express	VERB
ejpam-7057	46	40	as	as	ADP
ejpam-7057	46	41	〈	〈	PROPN
ejpam-7057	46	42	x	x	NOUN
ejpam-7057	46	43	,	,	PUNCT
ejpam-7057	46	44	x′	x′	PROPN
ejpam-7057	46	45	〉	〉	NOUN
ejpam-7057	46	46	↽	↽	NOUN
ejpam-7057	46	47	〈	〈	PROPN
ejpam-7057	46	48	y	y	PROPN
ejpam-7057	46	49	,	,	PUNCT
ejpam-7057	46	50	y′	y′	NOUN
ejpam-7057	46	51	〉	〉	NOUN
ejpam-7057	46	52	=	=	SYM
ejpam-7057	46	53	{	{	PUNCT
ejpam-7057	46	54	〈	〈	PROPN
ejpam-7057	46	55	x	x	X
ejpam-7057	46	56	,	,	PUNCT
ejpam-7057	46	57	x′	x′	PROPN
ejpam-7057	46	58	〉	〉	NOUN
ejpam-7057	46	59	if	if	SCONJ
ejpam-7057	46	60	〈	〈	PROPN
ejpam-7057	46	61	x	x	X
ejpam-7057	46	62	,	,	PUNCT
ejpam-7057	46	63	x′	x′	PROPN
ejpam-7057	46	64	〉	〉	PROPN
ejpam-7057	46	65	>	>	X
ejpam-7057	46	66	〈	〈	PROPN
ejpam-7057	46	67	y	y	PROPN
ejpam-7057	46	68	,	,	PUNCT
ejpam-7057	46	69	y′	y′	ADJ
ejpam-7057	46	70	〉	〉	NOUN
ejpam-7057	46	71	,	,	PUNCT
ejpam-7057	46	72	〈	〈	PROPN
ejpam-7057	46	73	0	0	NUM
ejpam-7057	46	74	,	,	PUNCT
ejpam-7057	46	75	1	1	NUM
ejpam-7057	46	76	〉	〉	NOUN
ejpam-7057	46	77	if	if	SCONJ
ejpam-7057	46	78	〈	〈	PROPN
ejpam-7057	46	79	x	x	X
ejpam-7057	46	80	,	,	PUNCT
ejpam-7057	46	81	x′	x′	PROPN
ejpam-7057	46	82	〉	〉	NOUN
ejpam-7057	46	83	≤	≤	PUNCT
ejpam-7057	46	84	〈	〈	PROPN
ejpam-7057	46	85	y	y	PROPN
ejpam-7057	46	86	,	,	PUNCT
ejpam-7057	46	87	y′	y′	PROPN
ejpam-7057	46	88	〉	〉	NUM
ejpam-7057	46	89	.	.	PUNCT
ejpam-7057	47	1	s.	s.	PROPN
ejpam-7057	47	2	aljohani	aljohani	PROPN
ejpam-7057	47	3	,	,	PUNCT
ejpam-7057	47	4	r.	r.	PROPN
ejpam-7057	47	5	a.	a.	NOUN
ejpam-7057	47	6	padder	padder	PROPN
ejpam-7057	47	7	,	,	PUNCT
ejpam-7057	47	8	p.	p.	PROPN
ejpam-7057	47	9	devshali	devshali	PROPN
ejpam-7057	47	10	/	/	SYM
ejpam-7057	47	11	eur	eur	PROPN
ejpam-7057	47	12	.	.	PUNCT
ejpam-7057	48	1	j.	j.	PROPN
ejpam-7057	48	2	pure	pure	PROPN
ejpam-7057	48	3	appl	appl	PROPN
ejpam-7057	48	4	.	.	PROPN
ejpam-7057	48	5	math	math	PROPN
ejpam-7057	48	6	,	,	PUNCT
ejpam-7057	48	7	18	18	NUM
ejpam-7057	48	8	(	(	PUNCT
ejpam-7057	48	9	4	4	NUM
ejpam-7057	48	10	)	)	PUNCT
ejpam-7057	48	11	(	(	PUNCT
ejpam-7057	48	12	2025	2025	NUM
ejpam-7057	48	13	)	)	PUNCT
ejpam-7057	48	14	,	,	PUNCT
ejpam-7057	48	15	7057	7057	NUM
ejpam-7057	48	16	3	3	NUM
ejpam-7057	48	17	of	of	ADP
ejpam-7057	48	18	11	11	NUM
ejpam-7057	48	19	definition	definition	NOUN
ejpam-7057	48	20	2	2	NUM
ejpam-7057	48	21	.	.	PUNCT
ejpam-7057	49	1	[	[	X
ejpam-7057	49	2	10	10	NUM
ejpam-7057	49	3	]	]	X
ejpam-7057	49	4	an	an	DET
ejpam-7057	49	5	ifm	ifm	NOUN
ejpam-7057	49	6	is	be	AUX
ejpam-7057	49	7	represented	represent	VERB
ejpam-7057	49	8	by	by	ADP
ejpam-7057	49	9	a	a	DET
ejpam-7057	49	10	=	=	X
ejpam-7057	49	11	(	(	PUNCT
ejpam-7057	49	12	〈	〈	PROPN
ejpam-7057	49	13	(	(	PUNCT
ejpam-7057	49	14	xi	xi	PROPN
ejpam-7057	49	15	,	,	PUNCT
ejpam-7057	49	16	yj	yj	PROPN
ejpam-7057	49	17	)	)	PUNCT
ejpam-7057	49	18	,	,	PUNCT
ejpam-7057	49	19	µa(xi	µa(xi	PROPN
ejpam-7057	49	20	,	,	PUNCT
ejpam-7057	49	21	yj	yj	PROPN
ejpam-7057	49	22	)	)	PUNCT
ejpam-7057	49	23	,	,	PUNCT
ejpam-7057	49	24	ua(xi	ua(xi	PROPN
ejpam-7057	49	25	,	,	PUNCT
ejpam-7057	49	26	yj	yj	PROPN
ejpam-7057	49	27	)	)	PUNCT
ejpam-7057	49	28	〉	〉	PROPN
ejpam-7057	49	29	)	)	PUNCT
ejpam-7057	49	30	for	for	ADP
ejpam-7057	49	31	i	i	PROPN
ejpam-7057	49	32	=	=	NOUN
ejpam-7057	49	33	1	1	NUM
ejpam-7057	49	34	,	,	PUNCT
ejpam-7057	49	35	2.m	2.m	NUM
ejpam-7057	49	36	and	and	CCONJ
ejpam-7057	49	37	j	j	PROPN
ejpam-7057	49	38	=	=	SYM
ejpam-7057	49	39	1	1	NUM
ejpam-7057	49	40	,	,	PUNCT
ejpam-7057	49	41	2	2	NUM
ejpam-7057	49	42	,	,	PUNCT
ejpam-7057	49	43	.n	.n	PROPN
ejpam-7057	49	44	,	,	PUNCT
ejpam-7057	49	45	where	where	SCONJ
ejpam-7057	49	46	µa	µa	ADV
ejpam-7057	49	47	:	:	PUNCT
ejpam-7057	49	48	x	x	SYM
ejpam-7057	50	1	×	×	NOUN
ejpam-7057	50	2	y	y	X
ejpam-7057	50	3	→	→	PUNCT
ejpam-7057	51	1	[	[	X
ejpam-7057	51	2	0	0	NUM
ejpam-7057	51	3	,	,	PUNCT
ejpam-7057	51	4	1	1	NUM
ejpam-7057	51	5	]	]	PUNCT
ejpam-7057	51	6	and	and	CCONJ
ejpam-7057	51	7	νa	νa	VERB
ejpam-7057	51	8	:	:	PUNCT
ejpam-7057	51	9	x	x	SYM
ejpam-7057	51	10	×	×	NOUN
ejpam-7057	51	11	y	y	X
ejpam-7057	51	12	→	→	PUNCT
ejpam-7057	52	1	[	[	X
ejpam-7057	52	2	0	0	NUM
ejpam-7057	52	3	,	,	PUNCT
ejpam-7057	52	4	1	1	NUM
ejpam-7057	52	5	]	]	PUNCT
ejpam-7057	52	6	have	have	VERB
ejpam-7057	52	7	the	the	DET
ejpam-7057	52	8	property	property	NOUN
ejpam-7057	52	9	0	0	NUM
ejpam-7057	52	10	≤	≤	NOUN
ejpam-7057	52	11	µa(xi	µa(xi	ADJ
ejpam-7057	52	12	,	,	PUNCT
ejpam-7057	52	13	yj)+νa(xi	yj)+νa(xi	PROPN
ejpam-7057	52	14	,	,	PUNCT
ejpam-7057	52	15	yj	yj	PROPN
ejpam-7057	52	16	)	)	PUNCT
ejpam-7057	52	17	≤	≤	NUM
ejpam-7057	52	18	1	1	NUM
ejpam-7057	52	19	.	.	PUNCT
ejpam-7057	53	1	ifm	ifm	PROPN
ejpam-7057	53	2	is	be	AUX
ejpam-7057	53	3	a	a	DET
ejpam-7057	53	4	matrix	matrix	NOUN
ejpam-7057	53	5	can	can	AUX
ejpam-7057	53	6	be	be	AUX
ejpam-7057	53	7	written	write	VERB
ejpam-7057	53	8	as	as	ADP
ejpam-7057	53	9	a	a	DET
ejpam-7057	53	10	=	=	SYM
ejpam-7057	53	11	(	(	PUNCT
ejpam-7057	53	12	〈	〈	PROPN
ejpam-7057	53	13	aij	aij	PROPN
ejpam-7057	53	14	,	,	PUNCT
ejpam-7057	53	15	a	a	DET
ejpam-7057	53	16	′	′	NUM
ejpam-7057	53	17	ij	ij	NOUN
ejpam-7057	53	18	〉	〉	NOUN
ejpam-7057	53	19	)	)	PUNCT
ejpam-7057	53	20	such	such	ADJ
ejpam-7057	53	21	that	that	SCONJ
ejpam-7057	53	22	aij	aij	PROPN
ejpam-7057	53	23	+	+	CCONJ
ejpam-7057	53	24	a′ij	a′ij	VERB
ejpam-7057	53	25	≤	≤	ADV
ejpam-7057	53	26	1	1	NUM
ejpam-7057	53	27	for	for	ADP
ejpam-7057	53	28	all	all	DET
ejpam-7057	53	29	i	i	PROPN
ejpam-7057	53	30	,	,	PUNCT
ejpam-7057	53	31	j.	j.	PROPN
ejpam-7057	53	32	definition	definition	NOUN
ejpam-7057	53	33	3	3	NUM
ejpam-7057	53	34	.	.	PUNCT
ejpam-7057	54	1	[	[	X
ejpam-7057	54	2	33	33	NUM
ejpam-7057	54	3	]	]	PUNCT
ejpam-7057	54	4	the	the	DET
ejpam-7057	54	5	determinant	determinant	NOUN
ejpam-7057	54	6	of	of	ADP
ejpam-7057	54	7	intutionistic	intutionistic	ADJ
ejpam-7057	54	8	fuzzy	fuzzy	ADJ
ejpam-7057	54	9	matrix	matrix	NOUN
ejpam-7057	54	10	is	be	AUX
ejpam-7057	54	11	give	give	VERB
ejpam-7057	54	12	by	by	ADP
ejpam-7057	54	13	|a|	|a|	PROPN
ejpam-7057	55	1	=	=	SYM
ejpam-7057	56	1	[	[	X
ejpam-7057	56	2	(	(	PUNCT
ejpam-7057	56	3	∨	∨	PROPN
ejpam-7057	56	4	σ∈sn	σ∈sn	PROPN
ejpam-7057	56	5	a1σ(1	a1σ(1	PROPN
ejpam-7057	56	6	)	)	PUNCT
ejpam-7057	56	7	∧	∧	NOUN
ejpam-7057	56	8	...	...	PUNCT
ejpam-7057	57	1	∧	∧	PROPN
ejpam-7057	57	2	anσ(n	anσ(n	PROPN
ejpam-7057	57	3	)	)	PUNCT
ejpam-7057	57	4	,	,	PUNCT
ejpam-7057	57	5	∧	∧	PROPN
ejpam-7057	57	6	σ∈sn	σ∈sn	ADJ
ejpam-7057	57	7	a′1	a′1	NOUN
ejpam-7057	57	8	sigma(1	sigma(1	PROPN
ejpam-7057	57	9	)	)	PUNCT
ejpam-7057	57	10	∨	∨	NUM
ejpam-7057	57	11	...	...	PUNCT
ejpam-7057	58	1	∨	∨	NUM
ejpam-7057	58	2	a′nσ(n	a′nσ(n	NOUN
ejpam-7057	58	3	)	)	PUNCT
ejpam-7057	58	4	)	)	PUNCT
ejpam-7057	59	1	]	]	PUNCT
ejpam-7057	59	2	,	,	PUNCT
ejpam-7057	59	3	where	where	SCONJ
ejpam-7057	59	4	sn	sn	PROPN
ejpam-7057	59	5	denotes	denote	VERB
ejpam-7057	59	6	all	all	DET
ejpam-7057	59	7	the	the	DET
ejpam-7057	59	8	permutations	permutation	NOUN
ejpam-7057	59	9	groups	group	NOUN
ejpam-7057	59	10	of	of	ADP
ejpam-7057	59	11	the	the	DET
ejpam-7057	59	12	indices	index	NOUN
ejpam-7057	59	13	{	{	PUNCT
ejpam-7057	59	14	1	1	NUM
ejpam-7057	59	15	,	,	PUNCT
ejpam-7057	59	16	2	2	NUM
ejpam-7057	59	17	,	,	PUNCT
ejpam-7057	59	18	...	...	PUNCT
ejpam-7057	59	19	,	,	PUNCT
ejpam-7057	59	20	n	n	CCONJ
ejpam-7057	59	21	}	}	PUNCT
ejpam-7057	59	22	definition	definition	NOUN
ejpam-7057	59	23	4	4	NUM
ejpam-7057	59	24	.	.	PUNCT
ejpam-7057	60	1	let	let	VERB
ejpam-7057	60	2	f	f	NOUN
ejpam-7057	60	3	=	=	PUNCT
ejpam-7057	60	4	{	{	PUNCT
ejpam-7057	60	5	a(1	a(1	PROPN
ejpam-7057	60	6	)	)	PUNCT
ejpam-7057	60	7	,	,	PUNCT
ejpam-7057	60	8	a(2	a(2	PROPN
ejpam-7057	60	9	)	)	PUNCT
ejpam-7057	60	10	,	,	PUNCT
ejpam-7057	60	11	...	...	PUNCT
ejpam-7057	60	12	,	,	PUNCT
ejpam-7057	60	13	a(m	a(m	NOUN
ejpam-7057	60	14	)	)	PUNCT
ejpam-7057	60	15	}	}	PUNCT
ejpam-7057	60	16	be	be	AUX
ejpam-7057	60	17	a	a	DET
ejpam-7057	60	18	finte	finte	NOUN
ejpam-7057	60	19	set	set	VERB
ejpam-7057	60	20	in	in	ADP
ejpam-7057	60	21	fn	fn	PROPN
ejpam-7057	60	22	.	.	PUNCT
ejpam-7057	61	1	the	the	DET
ejpam-7057	61	2	ifms	ifms	NOUN
ejpam-7057	61	3	{	{	PUNCT
ejpam-7057	61	4	a(1	a(1	PROPN
ejpam-7057	61	5	)	)	PUNCT
ejpam-7057	61	6	,	,	PUNCT
ejpam-7057	61	7	a(2	a(2	PROPN
ejpam-7057	61	8	)	)	PUNCT
ejpam-7057	61	9	,	,	PUNCT
ejpam-7057	61	10	...	...	PUNCT
ejpam-7057	61	11	,	,	PUNCT
ejpam-7057	61	12	a(m	a(m	NOUN
ejpam-7057	61	13	)	)	PUNCT
ejpam-7057	61	14	}	}	PUNCT
ejpam-7057	61	15	are	be	AUX
ejpam-7057	61	16	said	say	VERB
ejpam-7057	61	17	to	to	PART
ejpam-7057	61	18	be	be	AUX
ejpam-7057	61	19	simultaneously	simultaneously	ADV
ejpam-7057	61	20	nilpotent	nilpotent	ADJ
ejpam-7057	61	21	if	if	SCONJ
ejpam-7057	61	22	fp	fp	ADJ
ejpam-7057	61	23	=	=	X
ejpam-7057	61	24	{	{	PUNCT
ejpam-7057	61	25	〈	〈	PROPN
ejpam-7057	61	26	0	0	NUM
ejpam-7057	61	27	,	,	PUNCT
ejpam-7057	61	28	1	1	NUM
ejpam-7057	61	29	〉	〉	NOUN
ejpam-7057	61	30	}	}	PUNCT
ejpam-7057	61	31	for	for	ADP
ejpam-7057	61	32	some	some	DET
ejpam-7057	61	33	p	p	NOUN
ejpam-7057	61	34	∈	∈	PROPN
ejpam-7057	61	35	n	n	NOUN
ejpam-7057	61	36	.	.	PUNCT
ejpam-7057	62	1	in	in	ADP
ejpam-7057	62	2	this	this	DET
ejpam-7057	62	3	paper	paper	NOUN
ejpam-7057	62	4	,	,	PUNCT
ejpam-7057	62	5	the	the	DET
ejpam-7057	62	6	following	follow	VERB
ejpam-7057	62	7	definition	definition	NOUN
ejpam-7057	62	8	and	and	CCONJ
ejpam-7057	62	9	results	result	NOUN
ejpam-7057	62	10	are	be	AUX
ejpam-7057	62	11	used	use	VERB
ejpam-7057	62	12	.	.	PUNCT
ejpam-7057	63	1	let	let	VERB
ejpam-7057	63	2	q	q	NOUN
ejpam-7057	64	1	=	=	PUNCT
ejpam-7057	64	2	[	[	PUNCT
ejpam-7057	64	3	〈	〈	PROPN
ejpam-7057	64	4	qij	qij	NOUN
ejpam-7057	64	5	,	,	PUNCT
ejpam-7057	64	6	q	q	NOUN
ejpam-7057	64	7	′	′	NUM
ejpam-7057	64	8	ij	ij	NOUN
ejpam-7057	64	9	〉	〉	NOUN
ejpam-7057	64	10	]	]	PUNCT
ejpam-7057	64	11	and	and	CCONJ
ejpam-7057	64	12	s	s	X
ejpam-7057	64	13	=	=	X
ejpam-7057	64	14	[	[	PUNCT
ejpam-7057	64	15	〈	〈	PROPN
ejpam-7057	64	16	sij	sij	PROPN
ejpam-7057	64	17	,	,	PUNCT
ejpam-7057	64	18	s	s	PART
ejpam-7057	64	19	′	′	NUM
ejpam-7057	64	20	ij	ij	NOUN
ejpam-7057	64	21	〉	〉	NOUN
ejpam-7057	64	22	]	]	PUNCT
ejpam-7057	64	23	be	be	VERB
ejpam-7057	64	24	ifms	ifms	NOUN
ejpam-7057	64	25	of	of	ADP
ejpam-7057	64	26	order	order	NOUN
ejpam-7057	64	27	n	n	PRON
ejpam-7057	64	28	with	with	ADP
ejpam-7057	64	29	elements	element	NOUN
ejpam-7057	64	30	in	in	ADP
ejpam-7057	64	31	[	[	X
ejpam-7057	64	32	0	0	NUM
ejpam-7057	64	33	,	,	PUNCT
ejpam-7057	64	34	1]×	1]×	NUM
ejpam-7057	64	35	[	[	X
ejpam-7057	64	36	0	0	NUM
ejpam-7057	64	37	,	,	PUNCT
ejpam-7057	64	38	1	1	NUM
ejpam-7057	64	39	]	]	X
ejpam-7057	64	40	q	q	X
ejpam-7057	64	41	∨	∨	NUM
ejpam-7057	64	42	s	s	PART
ejpam-7057	64	43	=	=	PUNCT
ejpam-7057	64	44	(	(	PUNCT
ejpam-7057	64	45	〈	〈	PROPN
ejpam-7057	64	46	qij	qij	PROPN
ejpam-7057	64	47	∨	∨	NUM
ejpam-7057	64	48	sij	sij	PROPN
ejpam-7057	64	49	,	,	PUNCT
ejpam-7057	64	50	q	q	PROPN
ejpam-7057	64	51	′	′	NUM
ejpam-7057	64	52	ij	ij	INTJ
ejpam-7057	64	53	∧	∧	PROPN
ejpam-7057	64	54	s′ij	s′ij	PROPN
ejpam-7057	64	55	〉	〉	NOUN
ejpam-7057	64	56	)	)	PUNCT
ejpam-7057	64	57	,	,	PUNCT
ejpam-7057	64	58	where	where	SCONJ
ejpam-7057	64	59	〈	〈	PROPN
ejpam-7057	64	60	x	x	PRON
ejpam-7057	64	61	,	,	PUNCT
ejpam-7057	64	62	x′	x′	PROPN
ejpam-7057	64	63	〉	〉	PROPN
ejpam-7057	64	64	∨	∨	NUM
ejpam-7057	64	65	〈	〈	PROPN
ejpam-7057	64	66	y	y	PROPN
ejpam-7057	64	67	,	,	PUNCT
ejpam-7057	64	68	y′	y′	NUM
ejpam-7057	64	69	〉	〉	NOUN
ejpam-7057	64	70	=	=	SYM
ejpam-7057	64	71	max(〈x	max(〈x	PROPN
ejpam-7057	64	72	,	,	PUNCT
ejpam-7057	64	73	x′	x′	PROPN
ejpam-7057	64	74	〉	〉	NUM
ejpam-7057	64	75	,	,	PUNCT
ejpam-7057	64	76	〈	〈	PROPN
ejpam-7057	64	77	y	y	PROPN
ejpam-7057	64	78	,	,	PUNCT
ejpam-7057	64	79	y′	y′	NUM
ejpam-7057	64	80	〉	〉	NOUN
ejpam-7057	64	81	)	)	PUNCT
ejpam-7057	64	82	,	,	PUNCT
ejpam-7057	64	83	q	q	PUNCT
ejpam-7057	64	84	∧	∧	PROPN
ejpam-7057	64	85	s	s	PART
ejpam-7057	64	86	=	=	PUNCT
ejpam-7057	65	1	[	[	X
ejpam-7057	65	2	(	(	PUNCT
ejpam-7057	65	3	〈	〈	PROPN
ejpam-7057	65	4	qij	qij	NOUN
ejpam-7057	65	5	∧	∧	PROPN
ejpam-7057	65	6	sij	sij	PROPN
ejpam-7057	65	7	,	,	PUNCT
ejpam-7057	65	8	q	q	NOUN
ejpam-7057	65	9	′	′	NUM
ejpam-7057	65	10	ij	ij	NOUN
ejpam-7057	65	11	∨	∨	NOUN
ejpam-7057	65	12	s′ij	s′ij	PROPN
ejpam-7057	65	13	〉	〉	NOUN
ejpam-7057	65	14	)	)	PUNCT
ejpam-7057	65	15	]	]	PUNCT
ejpam-7057	65	16	where	where	SCONJ
ejpam-7057	65	17	〈	〈	PROPN
ejpam-7057	65	18	x	x	PRON
ejpam-7057	65	19	,	,	PUNCT
ejpam-7057	65	20	x′	x′	PROPN
ejpam-7057	65	21	〉	〉	NUM
ejpam-7057	65	22	∧	∧	PROPN
ejpam-7057	65	23	〈	〈	PROPN
ejpam-7057	65	24	y	y	PROPN
ejpam-7057	65	25	,	,	PUNCT
ejpam-7057	65	26	y′	y′	NUM
ejpam-7057	65	27	〉	〉	NOUN
ejpam-7057	65	28	=	=	SYM
ejpam-7057	65	29	min(〈x	min(〈x	NOUN
ejpam-7057	65	30	,	,	PUNCT
ejpam-7057	65	31	x′	x′	PROPN
ejpam-7057	65	32	〉	〉	NUM
ejpam-7057	65	33	,	,	PUNCT
ejpam-7057	65	34	〈	〈	PROPN
ejpam-7057	65	35	y	y	PROPN
ejpam-7057	65	36	,	,	PUNCT
ejpam-7057	65	37	y′	y′	NUM
ejpam-7057	65	38	〉	〉	NOUN
ejpam-7057	65	39	)	)	PUNCT
ejpam-7057	65	40	q	q	NOUN
ejpam-7057	65	41	c	c	NOUN
ejpam-7057	65	42	↽	↽	PROPN
ejpam-7057	65	43	s	s	PART
ejpam-7057	65	44	=	=	PUNCT
ejpam-7057	65	45	(	(	PUNCT
ejpam-7057	65	46	〈	〈	PROPN
ejpam-7057	65	47	qij	qij	NOUN
ejpam-7057	65	48	,	,	PUNCT
ejpam-7057	65	49	q	q	NOUN
ejpam-7057	65	50	′	′	NUM
ejpam-7057	65	51	ij	ij	NOUN
ejpam-7057	65	52	〉	〉	NOUN
ejpam-7057	65	53	c	c	NOUN
ejpam-7057	65	54	↽	↽	PROPN
ejpam-7057	65	55	〈	〈	PROPN
ejpam-7057	65	56	sij	sij	PROPN
ejpam-7057	65	57	,	,	PUNCT
ejpam-7057	65	58	s	s	PART
ejpam-7057	65	59	′	′	NUM
ejpam-7057	65	60	ij	ij	NOUN
ejpam-7057	65	61	〉	〉	NOUN
ejpam-7057	65	62	)	)	PUNCT
ejpam-7057	65	63	q×s	q×s	X
ejpam-7057	66	1	=	=	PUNCT
ejpam-7057	67	1	[	[	X
ejpam-7057	67	2	(	(	PUNCT
ejpam-7057	67	3	〈	〈	PROPN
ejpam-7057	67	4	qi1	qi1	NOUN
ejpam-7057	67	5	∧	∧	PROPN
ejpam-7057	67	6	s1j	s1j	PROPN
ejpam-7057	67	7	,	,	PUNCT
ejpam-7057	67	8	q	q	PROPN
ejpam-7057	67	9	′	′	PROPN
ejpam-7057	67	10	i1	i1	PROPN
ejpam-7057	67	11	∨	∨	NUM
ejpam-7057	67	12	s′1j	s′1j	PROPN
ejpam-7057	67	13	〉	〉	NOUN
ejpam-7057	67	14	)	)	PUNCT
ejpam-7057	67	15	∨	∨	NUM
ejpam-7057	67	16	(	(	PUNCT
ejpam-7057	67	17	〈	〈	PROPN
ejpam-7057	67	18	qi2	qi2	ADV
ejpam-7057	67	19	∧	∧	PROPN
ejpam-7057	67	20	s2j	s2j	NOUN
ejpam-7057	67	21	,	,	PUNCT
ejpam-7057	67	22	q	q	PROPN
ejpam-7057	67	23	′	′	PROPN
ejpam-7057	67	24	i2	i2	PROPN
ejpam-7057	67	25	∨	∨	NOUN
ejpam-7057	67	26	s′2j	s′2j	PROPN
ejpam-7057	67	27	〉	〉	NOUN
ejpam-7057	67	28	)	)	PUNCT
ejpam-7057	67	29	∨	∨	NOUN
ejpam-7057	67	30	.	.	PUNCT
ejpam-7057	67	31	.	.	PUNCT
ejpam-7057	68	1	.∨	.∨	PUNCT
ejpam-7057	69	1	(	(	PUNCT
ejpam-7057	69	2	〈	〈	PROPN
ejpam-7057	69	3	qin	qin	PROPN
ejpam-7057	69	4	∧	∧	PROPN
ejpam-7057	69	5	snj	snj	ADJ
ejpam-7057	69	6	,	,	PUNCT
ejpam-7057	69	7	q	q	NOUN
ejpam-7057	69	8	′	′	NOUN
ejpam-7057	69	9	in	in	ADP
ejpam-7057	69	10	∨	∨	NUM
ejpam-7057	69	11	s′nj	s′nj	PROPN
ejpam-7057	69	12	〉	〉	NOUN
ejpam-7057	69	13	)	)	PUNCT
ejpam-7057	69	14	]	]	PUNCT
ejpam-7057	69	15	,	,	PUNCT
ejpam-7057	69	16	qk+1	qk+1	PROPN
ejpam-7057	69	17	=	=	NOUN
ejpam-7057	69	18	qk	qk	NOUN
ejpam-7057	69	19	×q	×q	NOUN
ejpam-7057	69	20	,	,	PUNCT
ejpam-7057	69	21	k	k	PROPN
ejpam-7057	69	22	=	=	SYM
ejpam-7057	69	23	1	1	NUM
ejpam-7057	69	24	,	,	PUNCT
ejpam-7057	69	25	2	2	NUM
ejpam-7057	69	26	,	,	PUNCT
ejpam-7057	69	27	3	3	NUM
ejpam-7057	69	28	...	...	PUNCT
ejpam-7057	69	29	denote	denote	NOUN
ejpam-7057	69	30	qk	qk	NOUN
ejpam-7057	69	31	=	=	PUNCT
ejpam-7057	69	32	[	[	PUNCT
ejpam-7057	69	33	〈	〈	PROPN
ejpam-7057	69	34	qkij	qkij	NOUN
ejpam-7057	69	35	,	,	PUNCT
ejpam-7057	69	36	q	q	PUNCT
ejpam-7057	69	37	′k	′k	ADJ
ejpam-7057	69	38	ij	ij	X
ejpam-7057	69	39	〉	〉	NOUN
ejpam-7057	69	40	]	]	PUNCT
ejpam-7057	69	41	,	,	PUNCT
ejpam-7057	69	42	k	k	NOUN
ejpam-7057	69	43	=	=	SYM
ejpam-7057	69	44	2	2	NUM
ejpam-7057	69	45	,	,	PUNCT
ejpam-7057	69	46	3	3	NUM
ejpam-7057	69	47	,	,	PUNCT
ejpam-7057	69	48	...	...	PUNCT
ejpam-7057	69	49	(	(	PUNCT
ejpam-7057	69	50	〈	〈	NOUN
ejpam-7057	69	51	qkij	qkij	NOUN
ejpam-7057	69	52	,	,	PUNCT
ejpam-7057	69	53	q	q	PUNCT
ejpam-7057	69	54	′k	′k	ADJ
ejpam-7057	69	55	ij	ij	X
ejpam-7057	69	56	〉	〉	NOUN
ejpam-7057	69	57	=	=	NOUN
ejpam-7057	69	58	〈	〈	PROPN
ejpam-7057	69	59	n∨	n∨	PROPN
ejpam-7057	69	60	j1=1	j1=1	PROPN
ejpam-7057	69	61	n∨	n∨	PROPN
ejpam-7057	69	62	j2=1	j2=1	PROPN
ejpam-7057	69	63	...	...	PUNCT
ejpam-7057	70	1	n∨	n∨	NOUN
ejpam-7057	70	2	jk−1=1	jk−1=1	PUNCT
ejpam-7057	70	3	(	(	PUNCT
ejpam-7057	70	4	qij1	qij1	NOUN
ejpam-7057	70	5	∧	∧	PROPN
ejpam-7057	70	6	qj1j2	qj1j2	PROPN
ejpam-7057	70	7	∧	∧	PROPN
ejpam-7057	70	8	...	...	PUNCT
ejpam-7057	70	9	∧	∧	PROPN
ejpam-7057	70	10	qjk−1j	qjk−1j	PROPN
ejpam-7057	70	11	)	)	PUNCT
ejpam-7057	70	12	,	,	PUNCT
ejpam-7057	70	13	n∧	n∧	NUM
ejpam-7057	70	14	j1=1	j1=1	PROPN
ejpam-7057	70	15	n∧	n∧	NUM
ejpam-7057	70	16	j2=1	j2=1	PROPN
ejpam-7057	70	17	...	...	PUNCT
ejpam-7057	71	1	n∧	n∧	NUM
ejpam-7057	71	2	jk−1=1	jk−1=1	NOUN
ejpam-7057	71	3	(	(	PUNCT
ejpam-7057	71	4	q′ij1	q′ij1	PROPN
ejpam-7057	71	5	∨	∨	PROPN
ejpam-7057	71	6	q′j1j2	q′j1j2	VERB
ejpam-7057	71	7	∨	∨	NUM
ejpam-7057	71	8	...	...	PUNCT
ejpam-7057	71	9	∨	∨	NUM
ejpam-7057	71	10	q′jk−1j	q′jk−1j	X
ejpam-7057	71	11	)	)	PUNCT
ejpam-7057	71	12	〉	〉	NOUN
ejpam-7057	71	13	q0	q0	NOUN
ejpam-7057	71	14	=	=	SYM
ejpam-7057	71	15	i	i	PROPN
ejpam-7057	71	16	,	,	PUNCT
ejpam-7057	71	17	(	(	PUNCT
ejpam-7057	71	18	in	in	ADP
ejpam-7057	71	19	is	be	AUX
ejpam-7057	71	20	unit	unit	NOUN
ejpam-7057	71	21	matrix	matrix	NOUN
ejpam-7057	71	22	)	)	PUNCT
ejpam-7057	71	23	qt	qt	NOUN
ejpam-7057	71	24	=	=	PUNCT
ejpam-7057	71	25	[	[	PUNCT
ejpam-7057	71	26	〈	〈	PROPN
ejpam-7057	71	27	qji	qji	NOUN
ejpam-7057	71	28	,	,	PUNCT
ejpam-7057	71	29	q	q	PROPN
ejpam-7057	71	30	′	′	NUM
ejpam-7057	71	31	ji	ji	NOUN
ejpam-7057	71	32	〉	〉	NOUN
ejpam-7057	71	33	]	]	PUNCT
ejpam-7057	71	34	(	(	PUNCT
ejpam-7057	71	35	the	the	DET
ejpam-7057	71	36	transpose	transpose	NOUN
ejpam-7057	71	37	)	)	PUNCT
ejpam-7057	72	1	∆q	∆q	PROPN
ejpam-7057	72	2	=	=	PUNCT
ejpam-7057	72	3	q	q	PROPN
ejpam-7057	72	4	c	c	X
ejpam-7057	72	5	↽	↽	PROPN
ejpam-7057	72	6	qt	qt	PROPN
ejpam-7057	72	7	,	,	PUNCT
ejpam-7057	72	8	∇q	∇q	PROPN
ejpam-7057	72	9	=	=	SYM
ejpam-7057	72	10	q	q	ADJ
ejpam-7057	72	11	∧qt	∧qt	PROPN
ejpam-7057	72	12	q	q	NOUN
ejpam-7057	72	13	≤	≤	PROPN
ejpam-7057	72	14	s	s	PART
ejpam-7057	72	15	iff	iff	PROPN
ejpam-7057	72	16	(	(	PUNCT
ejpam-7057	72	17	〈	〈	PROPN
ejpam-7057	72	18	qij	qij	NOUN
ejpam-7057	72	19	,	,	PUNCT
ejpam-7057	72	20	q	q	NOUN
ejpam-7057	72	21	′	′	NUM
ejpam-7057	72	22	ij	ij	NOUN
ejpam-7057	72	23	〉	〉	NOUN
ejpam-7057	72	24	≤	≤	X
ejpam-7057	72	25	〈	〈	PROPN
ejpam-7057	72	26	sij	sij	PROPN
ejpam-7057	72	27	,	,	PUNCT
ejpam-7057	72	28	s	s	PART
ejpam-7057	72	29	′	′	NUM
ejpam-7057	72	30	ij	ij	NOUN
ejpam-7057	72	31	〉	〉	NOUN
ejpam-7057	72	32	for	for	ADP
ejpam-7057	72	33	all	all	DET
ejpam-7057	72	34	i	i	PROPN
ejpam-7057	72	35	,	,	PUNCT
ejpam-7057	72	36	j	j	PROPN
ejpam-7057	72	37	∈	∈	PROPN
ejpam-7057	72	38	1	1	NUM
ejpam-7057	72	39	,	,	PUNCT
ejpam-7057	72	40	2	2	NUM
ejpam-7057	72	41	,	,	PUNCT
ejpam-7057	72	42	...	...	PUNCT
ejpam-7057	72	43	,	,	PUNCT
ejpam-7057	72	44	n	n	CCONJ
ejpam-7057	72	45	)	)	PUNCT
ejpam-7057	72	46	.	.	PUNCT
ejpam-7057	73	1	the	the	DET
ejpam-7057	73	2	ifm	ifm	PROPN
ejpam-7057	73	3	q	q	PROPN
ejpam-7057	73	4	is	be	AUX
ejpam-7057	73	5	known	know	VERB
ejpam-7057	73	6	as	as	ADP
ejpam-7057	73	7	nilpotent	nilpotent	ADJ
ejpam-7057	73	8	if	if	SCONJ
ejpam-7057	73	9	qn	qn	NOUN
ejpam-7057	73	10	=	=	X
ejpam-7057	73	11	(	(	PUNCT
ejpam-7057	73	12	〈	〈	PROPN
ejpam-7057	73	13	0	0	NUM
ejpam-7057	73	14	,	,	PUNCT
ejpam-7057	73	15	1	1	NUM
ejpam-7057	73	16	〉	〉	NUM
ejpam-7057	73	17	)	)	PUNCT
ejpam-7057	73	18	,	,	PUNCT
ejpam-7057	73	19	controllable	controllable	ADJ
ejpam-7057	73	20	matrix	matrix	NOUN
ejpam-7057	73	21	t	t	NOUN
ejpam-7057	74	1	=	=	PUNCT
ejpam-7057	75	1	[	[	PUNCT
ejpam-7057	75	2	〈	〈	PROPN
ejpam-7057	75	3	tij	tij	NOUN
ejpam-7057	75	4	,	,	PUNCT
ejpam-7057	75	5	t	t	NOUN
ejpam-7057	75	6	′	′	NUM
ejpam-7057	75	7	ij	ij	NOUN
ejpam-7057	75	8	〉	〉	NOUN
ejpam-7057	75	9	]	]	PUNCT
ejpam-7057	75	10	=	=	PUNCT
ejpam-7057	75	11	p	p	NOUN
ejpam-7057	75	12	×q×	×q×	NOUN
ejpam-7057	75	13	p	p	PROPN
ejpam-7057	75	14	t	t	PROPN
ejpam-7057	75	15	satisfies	satisfy	VERB
ejpam-7057	75	16	〈	〈	PROPN
ejpam-7057	75	17	tij	tij	PROPN
ejpam-7057	75	18	,	,	PUNCT
ejpam-7057	75	19	t	t	NOUN
ejpam-7057	75	20	′	′	NUM
ejpam-7057	75	21	ij	ij	NOUN
ejpam-7057	75	22	〉	〉	PROPN
ejpam-7057	75	23	≥	≥	NOUN
ejpam-7057	75	24	〈	〈	PROPN
ejpam-7057	75	25	tji	tji	PROPN
ejpam-7057	75	26	,	,	PUNCT
ejpam-7057	75	27	t	t	PROPN
ejpam-7057	75	28	′	′	NUM
ejpam-7057	76	1	ji	ji	PROPN
ejpam-7057	76	2	〉	〉	PROPN
ejpam-7057	76	3	for	for	ADP
ejpam-7057	76	4	i	i	PROPN
ejpam-7057	76	5	>	>	X
ejpam-7057	76	6	j.	j.	PROPN
ejpam-7057	76	7	3	3	PROPN
ejpam-7057	76	8	.	.	PUNCT
ejpam-7057	76	9	eigenvalue	eigenvalue	PROPN
ejpam-7057	76	10	and	and	CCONJ
ejpam-7057	76	11	nilpotence	nilpotence	NOUN
ejpam-7057	76	12	definition	definition	NOUN
ejpam-7057	76	13	5	5	NUM
ejpam-7057	76	14	.	.	PUNCT
ejpam-7057	77	1	let	let	VERB
ejpam-7057	77	2	(	(	PUNCT
ejpam-7057	77	3	〈	〈	NOUN
ejpam-7057	77	4	aij	aij	PROPN
ejpam-7057	77	5	,	,	PUNCT
ejpam-7057	77	6	a′ij	a′ij	PROPN
ejpam-7057	77	7	〉	〉	PROPN
ejpam-7057	77	8	)	)	PUNCT
ejpam-7057	77	9	be	be	VERB
ejpam-7057	77	10	n×n	n×n	PROPN
ejpam-7057	77	11	ifm	ifm	NOUN
ejpam-7057	77	12	,	,	PUNCT
ejpam-7057	77	13	λ	λ	PROPN
ejpam-7057	77	14	∈	∈	PROPN
ejpam-7057	78	1	[	[	X
ejpam-7057	78	2	0	0	NUM
ejpam-7057	78	3	,	,	PUNCT
ejpam-7057	78	4	1	1	NUM
ejpam-7057	78	5	]	]	PUNCT
ejpam-7057	78	6	is	be	AUX
ejpam-7057	78	7	known	know	VERB
ejpam-7057	78	8	as	as	ADP
ejpam-7057	78	9	eigenvalue	eigenvalue	PROPN
ejpam-7057	78	10	of	of	ADP
ejpam-7057	78	11	(	(	PUNCT
ejpam-7057	78	12	〈	〈	PROPN
ejpam-7057	78	13	aij	aij	PROPN
ejpam-7057	78	14	,	,	PUNCT
ejpam-7057	78	15	aij	aij	PROPN
ejpam-7057	78	16	〉	〉	PROPN
ejpam-7057	78	17	)	)	PUNCT
ejpam-7057	78	18	if	if	SCONJ
ejpam-7057	78	19	(	(	PUNCT
ejpam-7057	78	20	〈	〈	PROPN
ejpam-7057	78	21	aij	aij	PROPN
ejpam-7057	78	22	,	,	PUNCT
ejpam-7057	78	23	a′ij	a′ij	NOUN
ejpam-7057	78	24	〉	〉	PROPN
ejpam-7057	78	25	)	)	PUNCT
ejpam-7057	79	1	c	c	NOUN
ejpam-7057	79	2	↽	↽	PROPN
ejpam-7057	79	3	〈	〈	PROPN
ejpam-7057	79	4	x	x	PROPN
ejpam-7057	79	5	,	,	PUNCT
ejpam-7057	79	6	x′	x′	PROPN
ejpam-7057	79	7	〉	〉	NUM
ejpam-7057	79	8	=	=	SYM
ejpam-7057	79	9	λ	λ	X
ejpam-7057	79	10	c	c	NOUN
ejpam-7057	79	11	↽	↽	PROPN
ejpam-7057	79	12	〈	〈	PROPN
ejpam-7057	79	13	x	x	PROPN
ejpam-7057	79	14	,	,	PUNCT
ejpam-7057	79	15	x′	x′	PROPN
ejpam-7057	79	16	〉	〉	NOUN
ejpam-7057	79	17	for	for	ADP
ejpam-7057	79	18	nonzero	nonzero	PROPN
ejpam-7057	79	19	vector	vector	PROPN
ejpam-7057	79	20	〈	〈	PROPN
ejpam-7057	79	21	x	x	X
ejpam-7057	79	22	,	,	PUNCT
ejpam-7057	79	23	x′	x′	PROPN
ejpam-7057	79	24	〉	〉	NOUN
ejpam-7057	79	25	=	=	PUNCT
ejpam-7057	80	1	[	[	X
ejpam-7057	80	2	〈	〈	PROPN
ejpam-7057	80	3	xj	xj	PROPN
ejpam-7057	80	4	,	,	PUNCT
ejpam-7057	80	5	x′j	x′j	PROPN
ejpam-7057	80	6	〉	〉	PROPN
ejpam-7057	80	7	]	]	PUNCT
ejpam-7057	80	8	with	with	ADP
ejpam-7057	80	9	〈	〈	PROPN
ejpam-7057	80	10	xj	xj	PROPN
ejpam-7057	80	11	,	,	PUNCT
ejpam-7057	80	12	x′j	x′j	PROPN
ejpam-7057	80	13	〉	〉	PROPN
ejpam-7057	80	14	∈	∈	PROPN
ejpam-7057	81	1	[	[	X
ejpam-7057	81	2	0	0	NUM
ejpam-7057	81	3	,	,	PUNCT
ejpam-7057	81	4	1	1	NUM
ejpam-7057	81	5	]	]	PUNCT
ejpam-7057	81	6	,	,	PUNCT
ejpam-7057	81	7	namely,∨	namely,∨	PROPN
ejpam-7057	81	8	j=1	j=1	PROPN
ejpam-7057	81	9	(	(	PUNCT
ejpam-7057	81	10	〈	〈	PROPN
ejpam-7057	81	11	aij	aij	PROPN
ejpam-7057	81	12	,	,	PUNCT
ejpam-7057	81	13	a′ij	a′ij	VERB
ejpam-7057	81	14	〉	〉	PROPN
ejpam-7057	81	15	∧	∧	PROPN
ejpam-7057	81	16	〈	〈	PROPN
ejpam-7057	81	17	xj	xj	PROPN
ejpam-7057	81	18	,	,	PUNCT
ejpam-7057	81	19	x′j	x′j	PROPN
ejpam-7057	81	20	〉	〉	NUM
ejpam-7057	81	21	)	)	PUNCT
ejpam-7057	81	22	=	=	PUNCT
ejpam-7057	82	1	λ	λ	X
ejpam-7057	82	2	∧	∧	PROPN
ejpam-7057	82	3	〈	〈	PROPN
ejpam-7057	82	4	xi	xi	PROPN
ejpam-7057	82	5	,	,	PUNCT
ejpam-7057	82	6	x′i	x′i	NOUN
ejpam-7057	82	7	〉	〉	PROPN
ejpam-7057	82	8	,	,	PUNCT
ejpam-7057	82	9	for	for	ADP
ejpam-7057	82	10	all	all	DET
ejpam-7057	82	11	i	i	PRON
ejpam-7057	82	12	=	=	NOUN
ejpam-7057	82	13	1	1	NUM
ejpam-7057	82	14	,	,	PUNCT
ejpam-7057	82	15	2	2	NUM
ejpam-7057	82	16	,	,	PUNCT
ejpam-7057	82	17	...	...	PUNCT
ejpam-7057	82	18	,	,	PUNCT
ejpam-7057	82	19	n.	n.	PROPN
ejpam-7057	82	20	consider	consider	VERB
ejpam-7057	82	21	σ(〈aij	σ(〈aij	NOUN
ejpam-7057	82	22	,	,	PUNCT
ejpam-7057	82	23	a′ij	a′ij	PROPN
ejpam-7057	82	24	〉	〉	PROPN
ejpam-7057	82	25	)	)	PUNCT
ejpam-7057	82	26	set	set	NOUN
ejpam-7057	82	27	of	of	ADP
ejpam-7057	82	28	all	all	DET
ejpam-7057	82	29	eigenvalues	eigenvalue	NOUN
ejpam-7057	82	30	of	of	ADP
ejpam-7057	82	31	a	a	PRON
ejpam-7057	82	32	and	and	CCONJ
ejpam-7057	82	33	let	let	VERB
ejpam-7057	82	34	ρ(〈aij	ρ(〈aij	NOUN
ejpam-7057	82	35	,	,	PUNCT
ejpam-7057	82	36	a′ij	a′ij	NOUN
ejpam-7057	82	37	〉	〉	NOUN
ejpam-7057	82	38	)	)	PUNCT
ejpam-7057	83	1	=	=	SYM
ejpam-7057	83	2	sup	sup	NOUN
ejpam-7057	83	3	{	{	PUNCT
ejpam-7057	83	4	λ|λ	λ|λ	PROPN
ejpam-7057	83	5	∈	∈	PROPN
ejpam-7057	83	6	σ(〈aij	σ(〈aij	NOUN
ejpam-7057	83	7	,	,	PUNCT
ejpam-7057	83	8	a′ij	a′ij	PROPN
ejpam-7057	83	9	〉	〉	PROPN
ejpam-7057	83	10	)	)	PUNCT
ejpam-7057	83	11	}	}	PUNCT
ejpam-7057	83	12	.	.	PUNCT
ejpam-7057	84	1	s.	s.	PROPN
ejpam-7057	84	2	aljohani	aljohani	PROPN
ejpam-7057	84	3	,	,	PUNCT
ejpam-7057	84	4	r.	r.	PROPN
ejpam-7057	84	5	a.	a.	NOUN
ejpam-7057	84	6	padder	padder	PROPN
ejpam-7057	84	7	,	,	PUNCT
ejpam-7057	84	8	p.	p.	PROPN
ejpam-7057	84	9	devshali	devshali	PROPN
ejpam-7057	84	10	/	/	SYM
ejpam-7057	84	11	eur	eur	PROPN
ejpam-7057	84	12	.	.	PUNCT
ejpam-7057	85	1	j.	j.	PROPN
ejpam-7057	85	2	pure	pure	PROPN
ejpam-7057	85	3	appl	appl	PROPN
ejpam-7057	85	4	.	.	PROPN
ejpam-7057	85	5	math	math	PROPN
ejpam-7057	85	6	,	,	PUNCT
ejpam-7057	85	7	18	18	NUM
ejpam-7057	85	8	(	(	PUNCT
ejpam-7057	85	9	4	4	NUM
ejpam-7057	85	10	)	)	PUNCT
ejpam-7057	85	11	(	(	PUNCT
ejpam-7057	85	12	2025	2025	NUM
ejpam-7057	85	13	)	)	PUNCT
ejpam-7057	85	14	,	,	PUNCT
ejpam-7057	85	15	7057	7057	NUM
ejpam-7057	85	16	4	4	NUM
ejpam-7057	85	17	of	of	ADP
ejpam-7057	85	18	11	11	NUM
ejpam-7057	85	19	we	we	PRON
ejpam-7057	85	20	will	will	AUX
ejpam-7057	85	21	prove	prove	VERB
ejpam-7057	85	22	in	in	ADP
ejpam-7057	85	23	theorem	theorem	NOUN
ejpam-7057	85	24	2	2	NUM
ejpam-7057	85	25	that	that	PRON
ejpam-7057	85	26	for	for	ADP
ejpam-7057	85	27	any	any	DET
ejpam-7057	85	28	ifm	ifm	NOUN
ejpam-7057	85	29	〈	〈	PROPN
ejpam-7057	85	30	aij	aij	PROPN
ejpam-7057	85	31	,	,	PUNCT
ejpam-7057	85	32	a′ij	a′ij	PROPN
ejpam-7057	85	33	〉	〉	PROPN
ejpam-7057	85	34	,	,	PUNCT
ejpam-7057	85	35	there	there	PRON
ejpam-7057	85	36	exists	exist	VERB
ejpam-7057	85	37	a	a	DET
ejpam-7057	85	38	λ	λ	PROPN
ejpam-7057	85	39	∈	∈	PROPN
ejpam-7057	85	40	σ(〈aij	σ(〈aij	NOUN
ejpam-7057	85	41	,	,	PUNCT
ejpam-7057	85	42	a′ij	a′ij	PROPN
ejpam-7057	85	43	〉	〉	PROPN
ejpam-7057	85	44	)	)	PUNCT
ejpam-7057	85	45	.	.	PUNCT
ejpam-7057	86	1	thus	thus	ADV
ejpam-7057	86	2	,	,	PUNCT
ejpam-7057	86	3	ρ((〈aij	ρ((〈aij	NOUN
ejpam-7057	86	4	,	,	PUNCT
ejpam-7057	86	5	a′ij	a′ij	PROPN
ejpam-7057	86	6	〉	〉	PROPN
ejpam-7057	86	7	)	)	PUNCT
ejpam-7057	86	8	)	)	PUNCT
ejpam-7057	87	1	is	be	AUX
ejpam-7057	87	2	the	the	DET
ejpam-7057	87	3	largest	large	ADJ
ejpam-7057	87	4	eigenvalue	eigenvalue	NOUN
ejpam-7057	87	5	of	of	ADP
ejpam-7057	87	6	(	(	PUNCT
ejpam-7057	87	7	〈	〈	PROPN
ejpam-7057	87	8	aij	aij	PROPN
ejpam-7057	87	9	,	,	PUNCT
ejpam-7057	87	10	a′ij	a′ij	PROPN
ejpam-7057	87	11	〉	〉	PROPN
ejpam-7057	87	12	)	)	PUNCT
ejpam-7057	87	13	.	.	PUNCT
ejpam-7057	88	1	lemma	lemma	PROPN
ejpam-7057	88	2	1	1	X
ejpam-7057	88	3	.	.	PUNCT
ejpam-7057	89	1	let	let	VERB
ejpam-7057	89	2	(	(	PUNCT
ejpam-7057	89	3	〈	〈	NOUN
ejpam-7057	89	4	aij	aij	PROPN
ejpam-7057	89	5	,	,	PUNCT
ejpam-7057	89	6	a′ij	a′ij	NOUN
ejpam-7057	89	7	〉	〉	PROPN
ejpam-7057	89	8	)	)	PUNCT
ejpam-7057	89	9	∈	∈	PROPN
ejpam-7057	89	10	fn	fn	NOUN
ejpam-7057	89	11	.	.	PUNCT
ejpam-7057	90	1	then	then	ADV
ejpam-7057	90	2	(	(	PUNCT
ejpam-7057	90	3	〈	〈	PROPN
ejpam-7057	90	4	aij	aij	PROPN
ejpam-7057	90	5	,	,	PUNCT
ejpam-7057	90	6	a′ij	a′ij	PROPN
ejpam-7057	90	7	〉	〉	PROPN
ejpam-7057	90	8	)	)	PUNCT
ejpam-7057	90	9	has	have	VERB
ejpam-7057	90	10	a	a	DET
ejpam-7057	90	11	zero	zero	NUM
ejpam-7057	90	12	column	column	NOUN
ejpam-7057	90	13	⇔	⇔	PROPN
ejpam-7057	90	14	〈	〈	PROPN
ejpam-7057	90	15	0	0	PROPN
ejpam-7057	90	16	,	,	PUNCT
ejpam-7057	90	17	1	1	NUM
ejpam-7057	90	18	〉	〉	NUM
ejpam-7057	90	19	∈	∈	NOUN
ejpam-7057	90	20	σ((〈aij	σ((〈aij	NOUN
ejpam-7057	90	21	,	,	PUNCT
ejpam-7057	90	22	a′ij	a′ij	NOUN
ejpam-7057	90	23	〉	〉	PROPN
ejpam-7057	90	24	)	)	PUNCT
ejpam-7057	90	25	)	)	PUNCT
ejpam-7057	91	1	proof	proof	NOUN
ejpam-7057	91	2	.	.	PUNCT
ejpam-7057	92	1	let	let	VERB
ejpam-7057	92	2	ith	ith	PROPN
ejpam-7057	92	3	column	column	NOUN
ejpam-7057	92	4	of	of	ADP
ejpam-7057	92	5	(	(	PUNCT
ejpam-7057	92	6	〈	〈	PROPN
ejpam-7057	92	7	aij	aij	PROPN
ejpam-7057	92	8	,	,	PUNCT
ejpam-7057	92	9	a′ij	a′ij	NOUN
ejpam-7057	92	10	〉	〉	PROPN
ejpam-7057	92	11	)	)	PUNCT
ejpam-7057	92	12	is	be	AUX
ejpam-7057	92	13	0	0	NUM
ejpam-7057	92	14	.	.	PUNCT
ejpam-7057	93	1	and	and	CCONJ
ejpam-7057	93	2	〈	〈	PROPN
ejpam-7057	93	3	x	x	X
ejpam-7057	93	4	,	,	PUNCT
ejpam-7057	93	5	x′	x′	PROPN
ejpam-7057	93	6	〉	〉	NOUN
ejpam-7057	93	7	=	=	SYM
ejpam-7057	93	8	ei	ei	PROPN
ejpam-7057	93	9	,	,	PUNCT
ejpam-7057	93	10	then	then	ADV
ejpam-7057	93	11	〈	〈	PROPN
ejpam-7057	93	12	x	x	X
ejpam-7057	93	13	,	,	PUNCT
ejpam-7057	93	14	x′	x′	PROPN
ejpam-7057	93	15	〉	〉	PROPN
ejpam-7057	93	16	is	be	AUX
ejpam-7057	93	17	an	an	DET
ejpam-7057	93	18	eigenvector	eigenvector	NOUN
ejpam-7057	93	19	corresponding	corresponding	NOUN
ejpam-7057	93	20	to	to	ADP
ejpam-7057	93	21	the	the	DET
ejpam-7057	93	22	〈	〈	PROPN
ejpam-7057	93	23	0	0	NUM
ejpam-7057	93	24	,	,	PUNCT
ejpam-7057	93	25	1	1	NUM
ejpam-7057	93	26	〉	〉	NUM
ejpam-7057	93	27	.	.	PUNCT
ejpam-7057	94	1	let	let	VERB
ejpam-7057	94	2	〈	〈	PROPN
ejpam-7057	94	3	x	x	PRON
ejpam-7057	94	4	,	,	PUNCT
ejpam-7057	94	5	x′	x′	PROPN
ejpam-7057	94	6	〉	〉	NUM
ejpam-7057	94	7	=	=	SYM
ejpam-7057	94	8	(	(	PUNCT
ejpam-7057	94	9	〈	〈	PROPN
ejpam-7057	94	10	xi	xi	PROPN
ejpam-7057	94	11	,	,	PUNCT
ejpam-7057	94	12	x′i	x′i	NOUN
ejpam-7057	94	13	〉	〉	NOUN
ejpam-7057	94	14	)	)	PUNCT
ejpam-7057	94	15	be	be	VERB
ejpam-7057	94	16	an	an	DET
ejpam-7057	94	17	eigenvector	eigenvector	NOUN
ejpam-7057	94	18	corresponding	correspond	VERB
ejpam-7057	94	19	to	to	ADP
ejpam-7057	94	20	the	the	DET
ejpam-7057	94	21	eigenvalue	eigenvalue	PROPN
ejpam-7057	94	22	〈	〈	PROPN
ejpam-7057	94	23	0	0	NUM
ejpam-7057	94	24	,	,	PUNCT
ejpam-7057	94	25	1	1	NUM
ejpam-7057	94	26	〉	〉	NUM
ejpam-7057	94	27	.	.	PUNCT
ejpam-7057	95	1	suppose	suppose	VERB
ejpam-7057	95	2	that	that	SCONJ
ejpam-7057	95	3	〈	〈	PROPN
ejpam-7057	95	4	xi	xi	PROPN
ejpam-7057	95	5	,	,	PUNCT
ejpam-7057	95	6	x′i	x′i	PROPN
ejpam-7057	95	7	〉	〉	PROPN
ejpam-7057	95	8	6=	6=	NUM
ejpam-7057	95	9	〈	〈	PROPN
ejpam-7057	95	10	0	0	NUM
ejpam-7057	95	11	,	,	PUNCT
ejpam-7057	95	12	1	1	NUM
ejpam-7057	95	13	〉	〉	NUM
ejpam-7057	95	14	.	.	PUNCT
ejpam-7057	96	1	then	then	ADV
ejpam-7057	96	2	(	(	PUNCT
ejpam-7057	96	3	〈	〈	PROPN
ejpam-7057	96	4	aij	aij	PROPN
ejpam-7057	96	5	,	,	PUNCT
ejpam-7057	96	6	a′ij	a′ij	NOUN
ejpam-7057	96	7	〉	〉	PROPN
ejpam-7057	96	8	)	)	PUNCT
ejpam-7057	96	9	c	c	NOUN
ejpam-7057	96	10	↽	↽	PROPN
ejpam-7057	96	11	〈	〈	PROPN
ejpam-7057	96	12	x	x	PROPN
ejpam-7057	96	13	,	,	PUNCT
ejpam-7057	96	14	x′	x′	PROPN
ejpam-7057	96	15	〉	〉	NOUN
ejpam-7057	96	16	=	=	SYM
ejpam-7057	96	17			NOUN
ejpam-7057	96	18	n∨	n∨	NOUN
ejpam-7057	96	19	j=1	j=1	NOUN
ejpam-7057	96	20	(	(	PUNCT
ejpam-7057	96	21	〈	〈	PROPN
ejpam-7057	96	22	a1j	a1j	NOUN
ejpam-7057	96	23	,	,	PUNCT
ejpam-7057	96	24	a′1j	a′1j	PROPN
ejpam-7057	96	25	〉	〉	NUM
ejpam-7057	96	26	∧	∧	PROPN
ejpam-7057	96	27	〈	〈	PROPN
ejpam-7057	96	28	xj	xj	PROPN
ejpam-7057	96	29	,	,	PUNCT
ejpam-7057	96	30	x′j	x′j	PROPN
ejpam-7057	96	31	〉	〉	PROPN
ejpam-7057	96	32	...	...	PUNCT
ejpam-7057	97	1	n∨	n∨	PROPN
ejpam-7057	97	2	j=1	j=1	NOUN
ejpam-7057	97	3	(	(	PUNCT
ejpam-7057	97	4	〈	〈	PROPN
ejpam-7057	97	5	anj	anj	PROPN
ejpam-7057	97	6	,	,	PUNCT
ejpam-7057	97	7	a′nj	a′nj	VERB
ejpam-7057	97	8	〉	〉	PROPN
ejpam-7057	97	9	∧	∧	PROPN
ejpam-7057	97	10	〈	〈	PROPN
ejpam-7057	97	11	xj	xj	PROPN
ejpam-7057	97	12	,	,	PUNCT
ejpam-7057	97	13	x′j	x′j	PROPN
ejpam-7057	97	14	〉	〉	PROPN
ejpam-7057	97	15			NOUN
ejpam-7057	97	16	=	=	SYM
ejpam-7057	97	17	o	o	PROPN
ejpam-7057	97	18	thus	thus	ADV
ejpam-7057	97	19	,	,	PUNCT
ejpam-7057	97	20	〈	〈	PROPN
ejpam-7057	97	21	aki	aki	NOUN
ejpam-7057	97	22	,	,	PUNCT
ejpam-7057	97	23	a′ki	a′ki	VERB
ejpam-7057	97	24	〉	〉	NOUN
ejpam-7057	97	25	∧	∧	PROPN
ejpam-7057	97	26	〈	〈	PROPN
ejpam-7057	97	27	xi	xi	PROPN
ejpam-7057	97	28	,	,	PUNCT
ejpam-7057	97	29	x′i	x′i	NOUN
ejpam-7057	97	30	〉	〉	NUM
ejpam-7057	97	31	=	=	SYM
ejpam-7057	97	32	〈	〈	PROPN
ejpam-7057	97	33	0	0	NUM
ejpam-7057	97	34	,	,	PUNCT
ejpam-7057	97	35	1	1	NUM
ejpam-7057	97	36	〉	〉	NUM
ejpam-7057	97	37	for	for	ADP
ejpam-7057	97	38	all	all	DET
ejpam-7057	97	39	k.	k.	PROPN
ejpam-7057	97	40	since	since	SCONJ
ejpam-7057	97	41	〈	〈	PROPN
ejpam-7057	97	42	xi	xi	PROPN
ejpam-7057	97	43	,	,	PUNCT
ejpam-7057	97	44	x′i	x′i	PROPN
ejpam-7057	97	45	〉	〉	PROPN
ejpam-7057	97	46	6=	6=	NUM
ejpam-7057	98	1	〈	〈	PROPN
ejpam-7057	98	2	0	0	NUM
ejpam-7057	98	3	,	,	PUNCT
ejpam-7057	98	4	1	1	NUM
ejpam-7057	98	5	〉	〉	NUM
ejpam-7057	98	6	,	,	PUNCT
ejpam-7057	98	7	we	we	PRON
ejpam-7057	98	8	have	have	VERB
ejpam-7057	98	9	〈	〈	PROPN
ejpam-7057	98	10	aki	aki	NOUN
ejpam-7057	98	11	,	,	PUNCT
ejpam-7057	98	12	a′ki	a′ki	VERB
ejpam-7057	98	13	〉	〉	NOUN
ejpam-7057	98	14	=	=	SYM
ejpam-7057	98	15	〈	〈	PROPN
ejpam-7057	98	16	0	0	NUM
ejpam-7057	98	17	,	,	PUNCT
ejpam-7057	98	18	1	1	NUM
ejpam-7057	98	19	〉	〉	NUM
ejpam-7057	98	20	for	for	ADP
ejpam-7057	98	21	every	every	DET
ejpam-7057	98	22	k.	k.	NOUN
ejpam-7057	98	23	hence	hence	ADV
ejpam-7057	98	24	ith	ith	PROPN
ejpam-7057	98	25	column	column	NOUN
ejpam-7057	98	26	of	of	ADP
ejpam-7057	98	27	(	(	PUNCT
ejpam-7057	98	28	〈	〈	PROPN
ejpam-7057	98	29	aij	aij	PROPN
ejpam-7057	98	30	,	,	PUNCT
ejpam-7057	98	31	a′ij	a′ij	PROPN
ejpam-7057	98	32	〉	〉	PROPN
ejpam-7057	98	33	)	)	PUNCT
ejpam-7057	98	34	is	be	AUX
ejpam-7057	98	35	〈	〈	PROPN
ejpam-7057	98	36	0	0	NUM
ejpam-7057	98	37	,	,	PUNCT
ejpam-7057	98	38	1	1	NUM
ejpam-7057	98	39	〉	〉	NOUN
ejpam-7057	98	40	lemma	lemma	PROPN
ejpam-7057	98	41	2	2	X
ejpam-7057	98	42	.	.	PUNCT
ejpam-7057	99	1	let	let	VERB
ejpam-7057	99	2	〈	〈	PROPN
ejpam-7057	99	3	aij	aij	PROPN
ejpam-7057	99	4	,	,	PUNCT
ejpam-7057	99	5	a′ij	a′ij	VERB
ejpam-7057	99	6	〉	〉	PROPN
ejpam-7057	99	7	∈	∈	PROPN
ejpam-7057	99	8	fn	fn	NOUN
ejpam-7057	99	9	.	.	PUNCT
ejpam-7057	100	1	then	then	ADV
ejpam-7057	100	2	ρ(〈aij	ρ(〈aij	NOUN
ejpam-7057	100	3	,	,	PUNCT
ejpam-7057	100	4	a′ij	a′ij	PROPN
ejpam-7057	100	5	〉	〉	PROPN
ejpam-7057	100	6	)	)	PUNCT
ejpam-7057	100	7	is	be	AUX
ejpam-7057	100	8	〈	〈	PROPN
ejpam-7057	100	9	0	0	NUM
ejpam-7057	100	10	,	,	PUNCT
ejpam-7057	100	11	1	1	NUM
ejpam-7057	100	12	〉	〉	NUM
ejpam-7057	100	13	or	or	CCONJ
ejpam-7057	100	14	〈	〈	PROPN
ejpam-7057	100	15	1	1	NUM
ejpam-7057	100	16	,	,	PUNCT
ejpam-7057	100	17	0	0	NUM
ejpam-7057	100	18	〉	〉	NOUN
ejpam-7057	100	19	.	.	PUNCT
ejpam-7057	101	1	proof	proof	NOUN
ejpam-7057	101	2	.	.	PUNCT
ejpam-7057	102	1	if	if	SCONJ
ejpam-7057	102	2	σ(〈aij	σ(〈aij	PROPN
ejpam-7057	102	3	,	,	PUNCT
ejpam-7057	102	4	a′ij	a′ij	PROPN
ejpam-7057	102	5	〉	〉	PROPN
ejpam-7057	102	6	)	)	PUNCT
ejpam-7057	103	1	=	=	PUNCT
ejpam-7057	103	2	〈	〈	PROPN
ejpam-7057	103	3	0	0	NUM
ejpam-7057	103	4	,	,	PUNCT
ejpam-7057	103	5	1	1	NUM
ejpam-7057	103	6	〉	〉	NUM
ejpam-7057	103	7	,	,	PUNCT
ejpam-7057	103	8	then	then	ADV
ejpam-7057	103	9	ρ(〈aij	ρ(〈aij	NOUN
ejpam-7057	103	10	,	,	PUNCT
ejpam-7057	103	11	a′ij	a′ij	NOUN
ejpam-7057	103	12	〉	〉	PROPN
ejpam-7057	103	13	)	)	PUNCT
ejpam-7057	103	14	=	=	PUNCT
ejpam-7057	104	1	〈	〈	PROPN
ejpam-7057	104	2	0	0	NUM
ejpam-7057	104	3	,	,	PUNCT
ejpam-7057	104	4	1	1	NUM
ejpam-7057	104	5	〉	〉	NUM
ejpam-7057	104	6	.	.	PUNCT
ejpam-7057	105	1	otherwise	otherwise	ADV
ejpam-7057	105	2	,	,	PUNCT
ejpam-7057	105	3	if	if	SCONJ
ejpam-7057	105	4	∃	∃	PROPN
ejpam-7057	105	5	〈	〈	PROPN
ejpam-7057	105	6	0	0	PROPN
ejpam-7057	105	7	,	,	PUNCT
ejpam-7057	105	8	1	1	NUM
ejpam-7057	105	9	〉	〉	NUM
ejpam-7057	105	10	6=	6=	NUM
ejpam-7057	105	11	λ	λ	PROPN
ejpam-7057	105	12	∈	∈	PROPN
ejpam-7057	105	13	σ(〈aij	σ(〈aij	NOUN
ejpam-7057	105	14	,	,	PUNCT
ejpam-7057	105	15	a′ij	a′ij	PROPN
ejpam-7057	105	16	〉	〉	PROPN
ejpam-7057	105	17	)	)	PUNCT
ejpam-7057	105	18	,	,	PUNCT
ejpam-7057	105	19	then	then	ADV
ejpam-7057	105	20	for	for	ADP
ejpam-7057	105	21	nonzero	nonzero	PROPN
ejpam-7057	105	22	eigenvector	eigenvector	PROPN
ejpam-7057	105	23	〈	〈	PROPN
ejpam-7057	105	24	x	x	PROPN
ejpam-7057	105	25	,	,	PUNCT
ejpam-7057	105	26	x′	x′	PROPN
ejpam-7057	105	27	〉	〉	NOUN
ejpam-7057	105	28	we	we	PRON
ejpam-7057	105	29	have	have	VERB
ejpam-7057	105	30	(	(	PUNCT
ejpam-7057	105	31	〈	〈	PROPN
ejpam-7057	105	32	aij	aij	PROPN
ejpam-7057	105	33	,	,	PUNCT
ejpam-7057	105	34	a′ij	a′ij	NOUN
ejpam-7057	105	35	〉	〉	PROPN
ejpam-7057	105	36	)	)	PUNCT
ejpam-7057	105	37	c	c	NOUN
ejpam-7057	105	38	↽	↽	PROPN
ejpam-7057	105	39	〈	〈	PROPN
ejpam-7057	105	40	x	x	PROPN
ejpam-7057	105	41	,	,	PUNCT
ejpam-7057	105	42	x′	x′	PROPN
ejpam-7057	105	43	〉	〉	NUM
ejpam-7057	105	44	=	=	SYM
ejpam-7057	105	45	λ	λ	X
ejpam-7057	105	46	c	c	NOUN
ejpam-7057	105	47	↽	↽	PROPN
ejpam-7057	105	48	〈	〈	PROPN
ejpam-7057	105	49	x	x	PROPN
ejpam-7057	105	50	,	,	PUNCT
ejpam-7057	105	51	x′	x′	PROPN
ejpam-7057	105	52	〉	〉	NUM
ejpam-7057	105	53	.	.	PUNCT
ejpam-7057	106	1	for	for	ADP
ejpam-7057	106	2	any	any	DET
ejpam-7057	106	3	β	β	NOUN
ejpam-7057	106	4	with	with	ADP
ejpam-7057	106	5	λ	λ	PROPN
ejpam-7057	106	6	≤	≤	NOUN
ejpam-7057	106	7	β	β	X
ejpam-7057	106	8	≤	≤	NOUN
ejpam-7057	106	9	〈	〈	PROPN
ejpam-7057	106	10	0	0	NUM
ejpam-7057	106	11	,	,	PUNCT
ejpam-7057	106	12	1	1	NUM
ejpam-7057	106	13	〉	〉	NUM
ejpam-7057	106	14	,	,	PUNCT
ejpam-7057	106	15	we	we	PRON
ejpam-7057	106	16	have	have	VERB
ejpam-7057	106	17	〈	〈	PROPN
ejpam-7057	106	18	aij	aij	PROPN
ejpam-7057	106	19	,	,	PUNCT
ejpam-7057	106	20	a′ij	a′ij	VERB
ejpam-7057	106	21	〉	〉	PROPN
ejpam-7057	106	22	c	c	NOUN
ejpam-7057	106	23	↽	↽	NOUN
ejpam-7057	106	24	(	(	PUNCT
ejpam-7057	106	25	λ	λ	X
ejpam-7057	106	26	c	c	PROPN
ejpam-7057	106	27	↽	↽	PROPN
ejpam-7057	106	28	〈	〈	PROPN
ejpam-7057	106	29	x	x	PROPN
ejpam-7057	106	30	,	,	PUNCT
ejpam-7057	106	31	x′	x′	PROPN
ejpam-7057	106	32	〉	〉	NUM
ejpam-7057	106	33	)	)	PUNCT
ejpam-7057	106	34	=	=	PUNCT
ejpam-7057	107	1	λ	λ	X
ejpam-7057	107	2	c	c	NOUN
ejpam-7057	107	3	↽	↽	PROPN
ejpam-7057	107	4	〈	〈	PROPN
ejpam-7057	107	5	x	x	PROPN
ejpam-7057	107	6	,	,	PUNCT
ejpam-7057	107	7	x′	x′	PROPN
ejpam-7057	107	8	〉	〉	NUM
ejpam-7057	107	9	=	=	SYM
ejpam-7057	107	10	β	β	PROPN
ejpam-7057	107	11	c	c	NOUN
ejpam-7057	107	12	↽	↽	X
ejpam-7057	107	13	(	(	PUNCT
ejpam-7057	107	14	λ	λ	X
ejpam-7057	107	15	c	c	PROPN
ejpam-7057	107	16	↽	↽	PROPN
ejpam-7057	107	17	〈	〈	PROPN
ejpam-7057	107	18	x	x	PROPN
ejpam-7057	107	19	,	,	PUNCT
ejpam-7057	107	20	x′	x′	PROPN
ejpam-7057	107	21	〉	〉	NUM
ejpam-7057	107	22	)	)	PUNCT
ejpam-7057	107	23	.	.	PUNCT
ejpam-7057	108	1	hence	hence	ADV
ejpam-7057	108	2	,	,	PUNCT
ejpam-7057	108	3	β	β	X
ejpam-7057	108	4	∈	∈	PROPN
ejpam-7057	108	5	σ(〈aij	σ(〈aij	NOUN
ejpam-7057	108	6	,	,	PUNCT
ejpam-7057	108	7	a′ij	a′ij	VERB
ejpam-7057	108	8	〉	〉	PROPN
ejpam-7057	108	9	⇒	⇒	NOUN
ejpam-7057	108	10	ρ(〈aij	ρ(〈aij	NOUN
ejpam-7057	108	11	,	,	PUNCT
ejpam-7057	108	12	a′ij	a′ij	NOUN
ejpam-7057	108	13	〉	〉	PROPN
ejpam-7057	108	14	)	)	PUNCT
ejpam-7057	108	15	=	=	PUNCT
ejpam-7057	109	1	〈	〈	PROPN
ejpam-7057	109	2	1	1	NUM
ejpam-7057	109	3	,	,	PUNCT
ejpam-7057	109	4	0	0	NUM
ejpam-7057	109	5	〉	〉	NOUN
ejpam-7057	109	6	lemma	lemma	PROPN
ejpam-7057	109	7	3	3	X
ejpam-7057	109	8	.	.	PUNCT
ejpam-7057	110	1	let	let	VERB
ejpam-7057	110	2	a	a	DET
ejpam-7057	110	3	=	=	PUNCT
ejpam-7057	110	4	(	(	PUNCT
ejpam-7057	110	5	〈	〈	PROPN
ejpam-7057	110	6	aij	aij	PROPN
ejpam-7057	110	7	,	,	PUNCT
ejpam-7057	110	8	a′ij	a′ij	NOUN
ejpam-7057	110	9	〉	〉	PROPN
ejpam-7057	110	10	)	)	PUNCT
ejpam-7057	110	11	and	and	CCONJ
ejpam-7057	110	12	b	b	X
ejpam-7057	110	13	=	=	SYM
ejpam-7057	110	14	(	(	PUNCT
ejpam-7057	110	15	〈	〈	PROPN
ejpam-7057	110	16	bij	bij	NOUN
ejpam-7057	110	17	,	,	PUNCT
ejpam-7057	110	18	b′ij	b′ij	PROPN
ejpam-7057	111	1	〉	〉	NUM
ejpam-7057	111	2	)	)	PUNCT
ejpam-7057	111	3	∈	∈	PROPN
ejpam-7057	111	4	fn	fn	NOUN
ejpam-7057	111	5	.	.	PUNCT
ejpam-7057	112	1	if	if	SCONJ
ejpam-7057	112	2	(	(	PUNCT
ejpam-7057	112	3	〈	〈	PROPN
ejpam-7057	112	4	aij	aij	PROPN
ejpam-7057	112	5	,	,	PUNCT
ejpam-7057	112	6	a′ij	a′ij	NOUN
ejpam-7057	112	7	〉	〉	NOUN
ejpam-7057	112	8	)	)	PUNCT
ejpam-7057	112	9	≤	≤	NOUN
ejpam-7057	112	10	(	(	PUNCT
ejpam-7057	112	11	〈	〈	NOUN
ejpam-7057	112	12	bij	bij	NOUN
ejpam-7057	112	13	,	,	PUNCT
ejpam-7057	112	14	b′ij	b′ij	PROPN
ejpam-7057	112	15	〉	〉	PROPN
ejpam-7057	112	16	)	)	PUNCT
ejpam-7057	112	17	,	,	PUNCT
ejpam-7057	112	18	then	then	ADV
ejpam-7057	112	19	ρ(〈aij	ρ(〈aij	NOUN
ejpam-7057	112	20	,	,	PUNCT
ejpam-7057	112	21	a′ij	a′ij	NOUN
ejpam-7057	112	22	〉	〉	NOUN
ejpam-7057	112	23	)	)	PUNCT
ejpam-7057	112	24	≤	≤	NUM
ejpam-7057	112	25	ρ(〈bij	ρ(〈bij	NOUN
ejpam-7057	112	26	,	,	PUNCT
ejpam-7057	112	27	b′ij	b′ij	PROPN
ejpam-7057	112	28	〉	〉	PROPN
ejpam-7057	112	29	)	)	PUNCT
ejpam-7057	112	30	.	.	PUNCT
ejpam-7057	113	1	proof	proof	NOUN
ejpam-7057	113	2	.	.	PUNCT
ejpam-7057	114	1	by	by	ADP
ejpam-7057	114	2	lemma	lemma	PROPN
ejpam-7057	114	3	2	2	NUM
ejpam-7057	114	4	,	,	PUNCT
ejpam-7057	114	5	ρ(〈aij	ρ(〈aij	NOUN
ejpam-7057	114	6	,	,	PUNCT
ejpam-7057	114	7	a′ij	a′ij	PROPN
ejpam-7057	114	8	〉	〉	PROPN
ejpam-7057	114	9	)	)	PUNCT
ejpam-7057	114	10	is	be	AUX
ejpam-7057	114	11	either	either	DET
ejpam-7057	114	12	〈	〈	PROPN
ejpam-7057	114	13	0	0	NUM
ejpam-7057	114	14	,	,	PUNCT
ejpam-7057	114	15	1	1	NUM
ejpam-7057	114	16	〉	〉	NUM
ejpam-7057	114	17	or	or	CCONJ
ejpam-7057	114	18	〈	〈	PROPN
ejpam-7057	114	19	1	1	NUM
ejpam-7057	114	20	,	,	PUNCT
ejpam-7057	114	21	0	0	NUM
ejpam-7057	114	22	〉	〉	NUM
ejpam-7057	114	23	.	.	PUNCT
ejpam-7057	115	1	if	if	SCONJ
ejpam-7057	115	2	ρ(〈aij	ρ(〈aij	NOUN
ejpam-7057	115	3	,	,	PUNCT
ejpam-7057	115	4	a′ij	a′ij	NOUN
ejpam-7057	115	5	〉	〉	PROPN
ejpam-7057	115	6	)	)	PUNCT
ejpam-7057	116	1	=	=	PUNCT
ejpam-7057	116	2	〈	〈	PROPN
ejpam-7057	116	3	0	0	NUM
ejpam-7057	116	4	,	,	PUNCT
ejpam-7057	116	5	1	1	NUM
ejpam-7057	116	6	〉	〉	NUM
ejpam-7057	116	7	,	,	PUNCT
ejpam-7057	116	8	the	the	DET
ejpam-7057	116	9	result	result	NOUN
ejpam-7057	116	10	is	be	AUX
ejpam-7057	116	11	trivial	trivial	ADJ
ejpam-7057	116	12	.	.	PUNCT
ejpam-7057	117	1	now	now	ADV
ejpam-7057	117	2	,	,	PUNCT
ejpam-7057	117	3	we	we	PRON
ejpam-7057	117	4	will	will	AUX
ejpam-7057	117	5	show	show	VERB
ejpam-7057	117	6	that	that	DET
ejpam-7057	117	7	ρ(〈aij	ρ(〈aij	NOUN
ejpam-7057	117	8	,	,	PUNCT
ejpam-7057	117	9	a′ij	a′ij	NOUN
ejpam-7057	117	10	〉	〉	PROPN
ejpam-7057	117	11	)	)	PUNCT
ejpam-7057	117	12	=	=	PUNCT
ejpam-7057	118	1	〈	〈	PROPN
ejpam-7057	118	2	1	1	NUM
ejpam-7057	118	3	,	,	PUNCT
ejpam-7057	118	4	0	0	NUM
ejpam-7057	118	5	〉	〉	PROPN
ejpam-7057	118	6	⇒	⇒	NOUN
ejpam-7057	118	7	ρ(〈bij	ρ(〈bij	NOUN
ejpam-7057	118	8	,	,	PUNCT
ejpam-7057	118	9	b′ij	b′ij	NOUN
ejpam-7057	118	10	〉	〉	NUM
ejpam-7057	118	11	)	)	PUNCT
ejpam-7057	118	12	=	=	PUNCT
ejpam-7057	119	1	〈	〈	PROPN
ejpam-7057	119	2	1	1	NUM
ejpam-7057	119	3	,	,	PUNCT
ejpam-7057	119	4	0	0	NUM
ejpam-7057	119	5	〉	〉	NOUN
ejpam-7057	119	6	.	.	PUNCT
ejpam-7057	120	1	let	let	VERB
ejpam-7057	120	2	(	(	PUNCT
ejpam-7057	120	3	〈	〈	NOUN
ejpam-7057	120	4	aij	aij	PROPN
ejpam-7057	120	5	,	,	PUNCT
ejpam-7057	120	6	a′ij	a′ij	NOUN
ejpam-7057	120	7	〉	〉	PROPN
ejpam-7057	120	8	)	)	PUNCT
ejpam-7057	120	9	c	c	NOUN
ejpam-7057	120	10	↽	↽	NOUN
ejpam-7057	120	11	(	(	PUNCT
ejpam-7057	120	12	〈	〈	PROPN
ejpam-7057	120	13	x	x	X
ejpam-7057	120	14	,	,	PUNCT
ejpam-7057	120	15	x′	x′	PROPN
ejpam-7057	120	16	〉	〉	NUM
ejpam-7057	120	17	)	)	PUNCT
ejpam-7057	120	18	=	=	PUNCT
ejpam-7057	121	1	(	(	PUNCT
ejpam-7057	121	2	〈	〈	PROPN
ejpam-7057	121	3	x	x	X
ejpam-7057	121	4	,	,	PUNCT
ejpam-7057	121	5	x′	x′	PROPN
ejpam-7057	121	6	〉	〉	NUM
ejpam-7057	121	7	)	)	PUNCT
ejpam-7057	121	8	,	,	PUNCT
ejpam-7057	121	9	(	(	PUNCT
ejpam-7057	121	10	〈	〈	PROPN
ejpam-7057	121	11	x	x	X
ejpam-7057	121	12	,	,	PUNCT
ejpam-7057	121	13	x′	x′	PROPN
ejpam-7057	121	14	〉	〉	NUM
ejpam-7057	121	15	)	)	PUNCT
ejpam-7057	121	16	6=	6=	PUNCT
ejpam-7057	122	1	o.	o.	PROPN
ejpam-7057	122	2	then	then	ADV
ejpam-7057	122	3	(	(	PUNCT
ejpam-7057	122	4	〈	〈	PROPN
ejpam-7057	122	5	x	x	X
ejpam-7057	122	6	,	,	PUNCT
ejpam-7057	122	7	x′	x′	PROPN
ejpam-7057	122	8	〉	〉	NUM
ejpam-7057	122	9	)	)	PUNCT
ejpam-7057	122	10	≤	≤	NOUN
ejpam-7057	122	11	(	(	PUNCT
ejpam-7057	122	12	an	an	X
ejpam-7057	122	13	)	)	PUNCT
ejpam-7057	122	14	=	=	SYM
ejpam-7057	122	15	(	(	PUNCT
ejpam-7057	122	16	(	(	PUNCT
ejpam-7057	122	17	〈	〈	NOUN
ejpam-7057	122	18	anij	anij	NOUN
ejpam-7057	122	19	,	,	PUNCT
ejpam-7057	122	20	a′nij	a′nij	PROPN
ejpam-7057	122	21	〉	〉	PROPN
ejpam-7057	122	22	)	)	PUNCT
ejpam-7057	122	23	c	c	NOUN
ejpam-7057	122	24	↽	↽	NOUN
ejpam-7057	122	25	)	)	PUNCT
ejpam-7057	123	1	c	c	PROPN
ejpam-7057	123	2	↽	↽	PROPN
ejpam-7057	123	3	e	e	PROPN
ejpam-7057	123	4	(	(	PUNCT
ejpam-7057	123	5	by	by	ADP
ejpam-7057	123	6	lemma	lemma	PROPN
ejpam-7057	123	7	2.10	2.10	NUM
ejpam-7057	123	8	[	[	NOUN
ejpam-7057	123	9	34	34	NUM
ejpam-7057	123	10	]	]	SYM
ejpam-7057	123	11	)	)	PUNCT
ejpam-7057	123	12	,	,	PUNCT
ejpam-7057	123	13	where	where	SCONJ
ejpam-7057	123	14	e	e	NOUN
ejpam-7057	123	15	=	=	PUNCT
ejpam-7057	124	1	[	[	X
ejpam-7057	124	2	1	1	NUM
ejpam-7057	124	3	,	,	PUNCT
ejpam-7057	124	4	1	1	NUM
ejpam-7057	124	5	,	,	PUNCT
ejpam-7057	124	6	...	...	PUNCT
ejpam-7057	124	7	,	,	PUNCT
ejpam-7057	124	8	1	1	X
ejpam-7057	124	9	]	]	PUNCT
ejpam-7057	124	10	and	and	CCONJ
ejpam-7057	124	11	so	so	ADV
ejpam-7057	124	12	(	(	PUNCT
ejpam-7057	124	13	〈	〈	PROPN
ejpam-7057	124	14	aij	aij	PROPN
ejpam-7057	124	15	,	,	PUNCT
ejpam-7057	124	16	a′ij	a′ij	NOUN
ejpam-7057	124	17	〉	〉	NOUN
ejpam-7057	124	18	)	)	PUNCT
ejpam-7057	124	19	≤	≤	NOUN
ejpam-7057	124	20	(	(	PUNCT
ejpam-7057	124	21	(	(	PUNCT
ejpam-7057	124	22	〈	〈	NOUN
ejpam-7057	124	23	anij	anij	NOUN
ejpam-7057	124	24	,	,	PUNCT
ejpam-7057	124	25	a′nij	a′nij	PROPN
ejpam-7057	124	26	〉	〉	PROPN
ejpam-7057	124	27	)	)	PUNCT
ejpam-7057	124	28	c	c	NOUN
ejpam-7057	124	29	↽	↽	NOUN
ejpam-7057	124	30	)	)	PUNCT
ejpam-7057	124	31	c	c	PROPN
ejpam-7057	124	32	↽	↽	NOUN
ejpam-7057	124	33	e	e	PROPN
ejpam-7057	124	34	≤	≤	X
ejpam-7057	124	35	(	(	PUNCT
ejpam-7057	124	36	bn	bn	NOUN
ejpam-7057	124	37	)	)	PUNCT
ejpam-7057	124	38	=	=	SYM
ejpam-7057	124	39	(	(	PUNCT
ejpam-7057	124	40	(	(	PUNCT
ejpam-7057	124	41	〈	〈	NOUN
ejpam-7057	124	42	bnij	bnij	NOUN
ejpam-7057	124	43	,	,	PUNCT
ejpam-7057	124	44	b′nij	b′nij	PROPN
ejpam-7057	124	45	〉	〉	NUM
ejpam-7057	124	46	)	)	PUNCT
ejpam-7057	124	47	c	c	NOUN
ejpam-7057	124	48	↽	↽	NOUN
ejpam-7057	124	49	)	)	PUNCT
ejpam-7057	124	50	c	c	PROPN
ejpam-7057	124	51	↽	↽	PROPN
ejpam-7057	124	52	e	e	PROPN
ejpam-7057	124	53	(	(	PUNCT
ejpam-7057	124	54	because	because	SCONJ
ejpam-7057	124	55	(	(	PUNCT
ejpam-7057	124	56	〈	〈	PROPN
ejpam-7057	124	57	aij	aij	PROPN
ejpam-7057	124	58	,	,	PUNCT
ejpam-7057	124	59	a′ij	a′ij	NOUN
ejpam-7057	124	60	〉	〉	NOUN
ejpam-7057	124	61	)	)	PUNCT
ejpam-7057	124	62	≤	≤	NOUN
ejpam-7057	124	63	(	(	PUNCT
ejpam-7057	124	64	〈	〈	NOUN
ejpam-7057	124	65	bij	bij	NOUN
ejpam-7057	124	66	,	,	PUNCT
ejpam-7057	124	67	b′ij	b′ij	VERB
ejpam-7057	124	68	〉	〉	PROPN
ejpam-7057	124	69	)	)	PUNCT
ejpam-7057	124	70	.	.	PUNCT
ejpam-7057	125	1	since	since	SCONJ
ejpam-7057	125	2	〈	〈	PROPN
ejpam-7057	125	3	x	x	X
ejpam-7057	125	4	,	,	PUNCT
ejpam-7057	125	5	x′	x′	PROPN
ejpam-7057	125	6	〉	〉	PROPN
ejpam-7057	125	7	6=	6=	PROPN
ejpam-7057	125	8	o	o	PROPN
ejpam-7057	125	9	,	,	PUNCT
ejpam-7057	125	10	since	since	SCONJ
ejpam-7057	125	11	(	(	PUNCT
ejpam-7057	125	12	(	(	PUNCT
ejpam-7057	125	13	〈	〈	NOUN
ejpam-7057	125	14	bnij	bnij	NOUN
ejpam-7057	125	15	,	,	PUNCT
ejpam-7057	125	16	b′nij	b′nij	PROPN
ejpam-7057	125	17	〉	〉	NUM
ejpam-7057	125	18	)	)	PUNCT
ejpam-7057	125	19	c	c	NOUN
ejpam-7057	125	20	↽	↽	NOUN
ejpam-7057	125	21	)	)	PUNCT
ejpam-7057	125	22	c	c	PROPN
ejpam-7057	125	23	↽	↽	NOUN
ejpam-7057	125	24	e	e	PROPN
ejpam-7057	125	25	≤	≤	PROPN
ejpam-7057	125	26	o.	o.	NOUN
ejpam-7057	125	27	let	let	VERB
ejpam-7057	125	28	〈	〈	PROPN
ejpam-7057	125	29	y	y	PROPN
ejpam-7057	125	30	,	,	PUNCT
ejpam-7057	125	31	y′	y′	NUM
ejpam-7057	125	32	〉	〉	NOUN
ejpam-7057	125	33	=	=	SYM
ejpam-7057	125	34	(	(	PUNCT
ejpam-7057	125	35	(	(	PUNCT
ejpam-7057	125	36	〈	〈	NOUN
ejpam-7057	125	37	bnij	bnij	NOUN
ejpam-7057	125	38	,	,	PUNCT
ejpam-7057	125	39	b′nij	b′nij	PROPN
ejpam-7057	125	40	〉	〉	NUM
ejpam-7057	125	41	)	)	PUNCT
ejpam-7057	125	42	c	c	NOUN
ejpam-7057	125	43	↽	↽	NOUN
ejpam-7057	125	44	)	)	PUNCT
ejpam-7057	126	1	c	c	PROPN
ejpam-7057	126	2	↽	↽	PROPN
ejpam-7057	126	3	e.	e.	PROPN
ejpam-7057	126	4	then	then	ADV
ejpam-7057	126	5	(	(	PUNCT
ejpam-7057	126	6	〈	〈	NOUN
ejpam-7057	126	7	bij	bij	NOUN
ejpam-7057	126	8	,	,	PUNCT
ejpam-7057	126	9	b′ij	b′ij	VERB
ejpam-7057	126	10	〉	〉	NUM
ejpam-7057	126	11	)	)	PUNCT
ejpam-7057	126	12	c	c	NOUN
ejpam-7057	126	13	↽	↽	PROPN
ejpam-7057	126	14	〈	〈	PROPN
ejpam-7057	126	15	y	y	PROPN
ejpam-7057	126	16	,	,	PUNCT
ejpam-7057	126	17	y′	y′	NUM
ejpam-7057	126	18	〉	〉	NOUN
ejpam-7057	126	19	=	=	SYM
ejpam-7057	126	20	(	(	PUNCT
ejpam-7057	126	21	(	(	PUNCT
ejpam-7057	126	22	〈	〈	PROPN
ejpam-7057	126	23	bn+1	bn+1	NUM
ejpam-7057	126	24	ij	ij	NOUN
ejpam-7057	126	25	,	,	PUNCT
ejpam-7057	126	26	b′n+1	b′n+1	PROPN
ejpam-7057	126	27	ij	ij	NUM
ejpam-7057	126	28	〉	〉	NUM
ejpam-7057	126	29	)	)	PUNCT
ejpam-7057	126	30	c	c	NOUN
ejpam-7057	126	31	↽	↽	NOUN
ejpam-7057	126	32	)	)	PUNCT
ejpam-7057	127	1	c	c	PROPN
ejpam-7057	127	2	↽	↽	NOUN
ejpam-7057	127	3	e	e	PROPN
ejpam-7057	127	4	=	=	PRON
ejpam-7057	127	5	(	(	PUNCT
ejpam-7057	127	6	(	(	PUNCT
ejpam-7057	127	7	〈	〈	NOUN
ejpam-7057	127	8	bnij	bnij	NOUN
ejpam-7057	127	9	,	,	PUNCT
ejpam-7057	127	10	b′nij	b′nij	PROPN
ejpam-7057	127	11	〉	〉	NUM
ejpam-7057	127	12	)	)	PUNCT
ejpam-7057	127	13	c	c	PROPN
ejpam-7057	127	14	↽	↽	NOUN
ejpam-7057	127	15	)	)	PUNCT
ejpam-7057	127	16	e	e	X
ejpam-7057	127	17	=	=	SYM
ejpam-7057	127	18	〈	〈	PROPN
ejpam-7057	127	19	y	y	PROPN
ejpam-7057	127	20	,	,	PUNCT
ejpam-7057	127	21	y′	y′	NUM
ejpam-7057	127	22	〉	〉	NOUN
ejpam-7057	127	23	(	(	PUNCT
ejpam-7057	127	24	by	by	ADP
ejpam-7057	127	25	lemma	lemma	PROPN
ejpam-7057	127	26	2.9	2.9	NUM
ejpam-7057	128	1	[	[	NOUN
ejpam-7057	128	2	34	34	NUM
ejpam-7057	128	3	]	]	PUNCT
ejpam-7057	128	4	)	)	PUNCT
ejpam-7057	129	1	and	and	CCONJ
ejpam-7057	129	2	so	so	ADV
ejpam-7057	129	3	,	,	PUNCT
ejpam-7057	129	4	ρ(〈bij	ρ(〈bij	NOUN
ejpam-7057	129	5	,	,	PUNCT
ejpam-7057	129	6	b′ij	b′ij	NOUN
ejpam-7057	129	7	〉	〉	NUM
ejpam-7057	129	8	)	)	PUNCT
ejpam-7057	130	1	=	=	PUNCT
ejpam-7057	130	2	〈	〈	PROPN
ejpam-7057	130	3	1	1	NUM
ejpam-7057	130	4	,	,	PUNCT
ejpam-7057	130	5	0	0	NUM
ejpam-7057	130	6	〉	〉	NOUN
ejpam-7057	130	7	.	.	PUNCT
ejpam-7057	130	8	theorem	theorem	NOUN
ejpam-7057	130	9	1	1	NUM
ejpam-7057	130	10	.	.	PUNCT
ejpam-7057	131	1	let	let	VERB
ejpam-7057	131	2	(	(	PUNCT
ejpam-7057	131	3	〈	〈	NOUN
ejpam-7057	131	4	aij	aij	PROPN
ejpam-7057	131	5	,	,	PUNCT
ejpam-7057	131	6	a′ij	a′ij	NOUN
ejpam-7057	132	1	〉	〉	PROPN
ejpam-7057	132	2	)	)	PUNCT
ejpam-7057	132	3	∈	∈	PROPN
ejpam-7057	132	4	fn	fn	NOUN
ejpam-7057	132	5	.	.	PUNCT
ejpam-7057	133	1	(	(	PUNCT
ejpam-7057	133	2	1	1	X
ejpam-7057	133	3	)	)	PUNCT
ejpam-7057	133	4	(	(	PUNCT
ejpam-7057	133	5	〈	〈	PROPN
ejpam-7057	133	6	aij	aij	PROPN
ejpam-7057	133	7	,	,	PUNCT
ejpam-7057	133	8	a′ij	a′ij	PROPN
ejpam-7057	133	9	〉	〉	PROPN
ejpam-7057	133	10	)	)	PUNCT
ejpam-7057	133	11	is	be	AUX
ejpam-7057	133	12	nilpotent	nilpotent	ADJ
ejpam-7057	133	13	.	.	PUNCT
ejpam-7057	134	1	(	(	PUNCT
ejpam-7057	134	2	2	2	X
ejpam-7057	134	3	)	)	PUNCT
ejpam-7057	134	4	(	(	PUNCT
ejpam-7057	134	5	〈	〈	PROPN
ejpam-7057	134	6	aij	aij	PROPN
ejpam-7057	134	7	,	,	PUNCT
ejpam-7057	134	8	a′ij	a′ij	NOUN
ejpam-7057	134	9	〉	〉	NOUN
ejpam-7057	134	10	)	)	PUNCT
ejpam-7057	134	11	p	p	NOUN
ejpam-7057	134	12	c	c	NOUN
ejpam-7057	134	13	↽	↽	NOUN
ejpam-7057	134	14	=	=	PUNCT
ejpam-7057	134	15	o	o	PROPN
ejpam-7057	134	16	for	for	ADP
ejpam-7057	134	17	some	some	DET
ejpam-7057	134	18	integer	integer	NOUN
ejpam-7057	134	19	p.	p.	NOUN
ejpam-7057	134	20	(	(	PUNCT
ejpam-7057	134	21	3	3	X
ejpam-7057	134	22	)	)	PUNCT
ejpam-7057	134	23	σ((〈aij	σ((〈aij	NOUN
ejpam-7057	134	24	,	,	PUNCT
ejpam-7057	134	25	a′ij	a′ij	NOUN
ejpam-7057	134	26	〉	〉	PROPN
ejpam-7057	134	27	)	)	PUNCT
ejpam-7057	134	28	)	)	PUNCT
ejpam-7057	135	1	=	=	PRON
ejpam-7057	135	2	{	{	PUNCT
ejpam-7057	135	3	〈	〈	PROPN
ejpam-7057	135	4	0	0	NUM
ejpam-7057	135	5	,	,	PUNCT
ejpam-7057	135	6	1	1	NUM
ejpam-7057	135	7	〉	〉	NUM
ejpam-7057	135	8	}	}	PUNCT
ejpam-7057	135	9	(	(	PUNCT
ejpam-7057	135	10	4	4	X
ejpam-7057	135	11	)	)	PUNCT
ejpam-7057	135	12	ρ((〈aij	ρ((〈aij	NOUN
ejpam-7057	135	13	,	,	PUNCT
ejpam-7057	135	14	a′ij	a′ij	PROPN
ejpam-7057	135	15	〉	〉	PROPN
ejpam-7057	135	16	)	)	PUNCT
ejpam-7057	135	17	)	)	PUNCT
ejpam-7057	136	1	=	=	PUNCT
ejpam-7057	136	2	〈	〈	PROPN
ejpam-7057	136	3	0	0	NUM
ejpam-7057	136	4	,	,	PUNCT
ejpam-7057	136	5	1	1	NUM
ejpam-7057	136	6	〉	〉	PROPN
ejpam-7057	136	7	s.	s.	PROPN
ejpam-7057	136	8	aljohani	aljohani	PROPN
ejpam-7057	136	9	,	,	PUNCT
ejpam-7057	136	10	r.	r.	PROPN
ejpam-7057	136	11	a.	a.	NOUN
ejpam-7057	136	12	padder	padder	PROPN
ejpam-7057	136	13	,	,	PUNCT
ejpam-7057	136	14	p.	p.	PROPN
ejpam-7057	136	15	devshali	devshali	PROPN
ejpam-7057	136	16	/	/	SYM
ejpam-7057	136	17	eur	eur	PROPN
ejpam-7057	136	18	.	.	PUNCT
ejpam-7057	137	1	j.	j.	PROPN
ejpam-7057	137	2	pure	pure	PROPN
ejpam-7057	137	3	appl	appl	PROPN
ejpam-7057	137	4	.	.	PROPN
ejpam-7057	137	5	math	math	PROPN
ejpam-7057	137	6	,	,	PUNCT
ejpam-7057	137	7	18	18	NUM
ejpam-7057	137	8	(	(	PUNCT
ejpam-7057	137	9	4	4	NUM
ejpam-7057	137	10	)	)	PUNCT
ejpam-7057	137	11	(	(	PUNCT
ejpam-7057	137	12	2025	2025	NUM
ejpam-7057	137	13	)	)	PUNCT
ejpam-7057	137	14	,	,	PUNCT
ejpam-7057	137	15	7057	7057	NUM
ejpam-7057	137	16	5	5	NUM
ejpam-7057	137	17	of	of	ADP
ejpam-7057	137	18	11	11	NUM
ejpam-7057	137	19	proof	proof	NOUN
ejpam-7057	137	20	.	.	PUNCT
ejpam-7057	138	1	let	let	VERB
ejpam-7057	138	2	(	(	PUNCT
ejpam-7057	138	3	1	1	X
ejpam-7057	138	4	)	)	PUNCT
ejpam-7057	138	5	⇒	⇒	NOUN
ejpam-7057	138	6	(	(	PUNCT
ejpam-7057	138	7	2	2	NUM
ejpam-7057	138	8	)	)	PUNCT
ejpam-7057	138	9	⇒	⇒	NOUN
ejpam-7057	138	10	(	(	PUNCT
ejpam-7057	138	11	3	3	NUM
ejpam-7057	138	12	)	)	PUNCT
ejpam-7057	138	13	⇒	⇒	NOUN
ejpam-7057	138	14	(	(	PUNCT
ejpam-7057	138	15	4	4	NUM
ejpam-7057	138	16	)	)	PUNCT
ejpam-7057	138	17	⇒	⇒	NOUN
ejpam-7057	138	18	(	(	PUNCT
ejpam-7057	138	19	1).in	1).in	NUM
ejpam-7057	138	20	these	these	DET
ejpam-7057	138	21	sequence	sequence	NOUN
ejpam-7057	138	22	,	,	PUNCT
ejpam-7057	138	23	(	(	PUNCT
ejpam-7057	138	24	1	1	X
ejpam-7057	138	25	)	)	PUNCT
ejpam-7057	138	26	⇒	⇒	NOUN
ejpam-7057	138	27	(	(	PUNCT
ejpam-7057	138	28	2	2	NUM
ejpam-7057	138	29	)	)	PUNCT
ejpam-7057	138	30	and	and	CCONJ
ejpam-7057	138	31	(	(	PUNCT
ejpam-7057	138	32	3	3	X
ejpam-7057	138	33	)	)	PUNCT
ejpam-7057	138	34	⇒	⇒	NOUN
ejpam-7057	138	35	(	(	PUNCT
ejpam-7057	138	36	4	4	X
ejpam-7057	138	37	)	)	PUNCT
ejpam-7057	138	38	are	be	AUX
ejpam-7057	138	39	trivial	trivial	ADJ
ejpam-7057	138	40	.	.	PUNCT
ejpam-7057	139	1	now	now	ADV
ejpam-7057	139	2	we	we	PRON
ejpam-7057	139	3	will	will	AUX
ejpam-7057	139	4	prove	prove	VERB
ejpam-7057	139	5	(	(	PUNCT
ejpam-7057	139	6	2	2	NUM
ejpam-7057	139	7	)	)	PUNCT
ejpam-7057	139	8	⇒	⇒	NOUN
ejpam-7057	139	9	(	(	PUNCT
ejpam-7057	139	10	3	3	NUM
ejpam-7057	139	11	)	)	PUNCT
ejpam-7057	139	12	.	.	PUNCT
ejpam-7057	140	1	suppose	suppose	VERB
ejpam-7057	140	2	λ	λ	X
ejpam-7057	140	3	∈	∈	PROPN
ejpam-7057	140	4	σ((〈aij	σ((〈aij	NOUN
ejpam-7057	140	5	,	,	PUNCT
ejpam-7057	140	6	a′ij	a′ij	NOUN
ejpam-7057	140	7	〉	〉	PROPN
ejpam-7057	140	8	)	)	PUNCT
ejpam-7057	140	9	)	)	PUNCT
ejpam-7057	140	10	is	be	AUX
ejpam-7057	140	11	a	a	DET
ejpam-7057	140	12	eigenvalue	eigenvalue	NOUN
ejpam-7057	140	13	which	which	PRON
ejpam-7057	140	14	is	be	AUX
ejpam-7057	140	15	nonzero	nonzero	PROPN
ejpam-7057	140	16	.	.	PUNCT
ejpam-7057	141	1	then	then	ADV
ejpam-7057	141	2	(	(	PUNCT
ejpam-7057	141	3	〈	〈	PROPN
ejpam-7057	141	4	aij	aij	PROPN
ejpam-7057	141	5	,	,	PUNCT
ejpam-7057	141	6	a′ij	a′ij	NOUN
ejpam-7057	141	7	〉	〉	PROPN
ejpam-7057	141	8	)	)	PUNCT
ejpam-7057	141	9	c	c	NOUN
ejpam-7057	141	10	↽	↽	PROPN
ejpam-7057	141	11	〈	〈	PROPN
ejpam-7057	141	12	x	x	PROPN
ejpam-7057	141	13	,	,	PUNCT
ejpam-7057	141	14	x′	x′	PROPN
ejpam-7057	141	15	〉	〉	NUM
ejpam-7057	141	16	=	=	SYM
ejpam-7057	142	1	λ	λ	X
ejpam-7057	142	2	c	c	NOUN
ejpam-7057	142	3	↽	↽	PROPN
ejpam-7057	142	4	〈	〈	PROPN
ejpam-7057	142	5	x	x	PROPN
ejpam-7057	142	6	,	,	PUNCT
ejpam-7057	142	7	x′	x′	PROPN
ejpam-7057	142	8	〉	〉	PROPN
ejpam-7057	142	9	,	,	PUNCT
ejpam-7057	142	10	where	where	SCONJ
ejpam-7057	142	11	〈	〈	PROPN
ejpam-7057	142	12	x	x	PRON
ejpam-7057	142	13	,	,	PUNCT
ejpam-7057	142	14	x′	x′	PROPN
ejpam-7057	142	15	〉	〉	PROPN
ejpam-7057	142	16	is	be	AUX
ejpam-7057	142	17	a	a	DET
ejpam-7057	142	18	corresponding	corresponding	ADJ
ejpam-7057	142	19	eigenvector	eigenvector	NOUN
ejpam-7057	142	20	.	.	PROPN
ejpam-7057	142	21	implies	imply	VERB
ejpam-7057	142	22	that	that	PRON
ejpam-7057	142	23	o	o	NOUN
ejpam-7057	142	24	=	=	PUNCT
ejpam-7057	142	25	(	(	PUNCT
ejpam-7057	142	26	(	(	PUNCT
ejpam-7057	142	27	〈	〈	NOUN
ejpam-7057	142	28	apij	apij	NOUN
ejpam-7057	142	29	,	,	PUNCT
ejpam-7057	142	30	a	a	DET
ejpam-7057	142	31	′p	′p	NUM
ejpam-7057	142	32	ij	ij	NOUN
ejpam-7057	142	33	〉	〉	NUM
ejpam-7057	142	34	)	)	PUNCT
ejpam-7057	142	35	c	c	NOUN
ejpam-7057	142	36	↽	↽	NOUN
ejpam-7057	142	37	)	)	PUNCT
ejpam-7057	142	38	c	c	PROPN
ejpam-7057	142	39	↽	↽	PROPN
ejpam-7057	142	40	〈	〈	PROPN
ejpam-7057	142	41	x	x	PROPN
ejpam-7057	142	42	,	,	PUNCT
ejpam-7057	142	43	x′	x′	PROPN
ejpam-7057	142	44	〉	〉	NUM
ejpam-7057	142	45	=	=	SYM
ejpam-7057	142	46	λp	λp	X
ejpam-7057	142	47	c	c	PROPN
ejpam-7057	142	48	↽	↽	PROPN
ejpam-7057	142	49	〈	〈	PROPN
ejpam-7057	142	50	x	x	PROPN
ejpam-7057	142	51	,	,	PUNCT
ejpam-7057	142	52	x′	x′	PROPN
ejpam-7057	142	53	〉	〉	NUM
ejpam-7057	142	54	=	=	SYM
ejpam-7057	143	1	λ	λ	X
ejpam-7057	143	2	c	c	NOUN
ejpam-7057	143	3	↽	↽	PROPN
ejpam-7057	143	4	〈	〈	PROPN
ejpam-7057	143	5	x	x	PROPN
ejpam-7057	143	6	,	,	PUNCT
ejpam-7057	143	7	x′	x′	PROPN
ejpam-7057	143	8	〉	〉	PROPN
ejpam-7057	143	9	6=	6=	PROPN
ejpam-7057	143	10	o	o	PROPN
ejpam-7057	143	11	,	,	PUNCT
ejpam-7057	143	12	which	which	PRON
ejpam-7057	143	13	is	be	AUX
ejpam-7057	143	14	not	not	PART
ejpam-7057	143	15	possible	possible	ADJ
ejpam-7057	143	16	.	.	PUNCT
ejpam-7057	144	1	now	now	ADV
ejpam-7057	144	2	,	,	PUNCT
ejpam-7057	144	3	we	we	PRON
ejpam-7057	144	4	will	will	AUX
ejpam-7057	144	5	prove	prove	VERB
ejpam-7057	144	6	that	that	SCONJ
ejpam-7057	144	7	(	(	PUNCT
ejpam-7057	144	8	d	d	X
ejpam-7057	144	9	)	)	PUNCT
ejpam-7057	144	10	⇒	⇒	NOUN
ejpam-7057	144	11	(	(	PUNCT
ejpam-7057	144	12	a	a	X
ejpam-7057	144	13	)	)	PUNCT
ejpam-7057	144	14	.	.	PUNCT
ejpam-7057	145	1	assume	assume	VERB
ejpam-7057	145	2	that	that	SCONJ
ejpam-7057	145	3	(	(	PUNCT
ejpam-7057	145	4	〈	〈	NOUN
ejpam-7057	145	5	anij	anij	NOUN
ejpam-7057	145	6	,	,	PUNCT
ejpam-7057	145	7	a′nij	a′nij	PROPN
ejpam-7057	145	8	〉	〉	PROPN
ejpam-7057	145	9	)	)	PUNCT
ejpam-7057	145	10	c	c	NOUN
ejpam-7057	145	11	↽	↽	PROPN
ejpam-7057	145	12	6=	6=	PROPN
ejpam-7057	146	1	o.	o.	PROPN
ejpam-7057	146	2	then	then	ADV
ejpam-7057	146	3	(	(	PUNCT
ejpam-7057	146	4	(	(	PUNCT
ejpam-7057	146	5	〈	〈	NOUN
ejpam-7057	146	6	anij	anij	NOUN
ejpam-7057	146	7	,	,	PUNCT
ejpam-7057	146	8	anij	anij	NOUN
ejpam-7057	146	9	〉	〉	NOUN
ejpam-7057	146	10	)	)	PUNCT
ejpam-7057	146	11	c	c	NOUN
ejpam-7057	146	12	↽	↽	NOUN
ejpam-7057	146	13	)	)	PUNCT
ejpam-7057	147	1	c	c	PROPN
ejpam-7057	147	2	↽	↽	PROPN
ejpam-7057	147	3	e	e	PROPN
ejpam-7057	147	4	6=	6=	PROPN
ejpam-7057	147	5	o.	o.	PROPN
ejpam-7057	147	6	let	let	VERB
ejpam-7057	147	7	〈	〈	PROPN
ejpam-7057	147	8	y	y	PROPN
ejpam-7057	147	9	,	,	PUNCT
ejpam-7057	147	10	y′	y′	NUM
ejpam-7057	147	11	〉	〉	NOUN
ejpam-7057	147	12	=	=	SYM
ejpam-7057	147	13	(	(	PUNCT
ejpam-7057	147	14	(	(	PUNCT
ejpam-7057	147	15	〈	〈	NOUN
ejpam-7057	147	16	anij	anij	NOUN
ejpam-7057	147	17	,	,	PUNCT
ejpam-7057	147	18	a′nij	a′nij	PROPN
ejpam-7057	147	19	〉	〉	PROPN
ejpam-7057	147	20	)	)	PUNCT
ejpam-7057	147	21	c	c	NOUN
ejpam-7057	147	22	↽	↽	NOUN
ejpam-7057	147	23	)	)	PUNCT
ejpam-7057	148	1	c	c	PROPN
ejpam-7057	148	2	↽	↽	PROPN
ejpam-7057	148	3	e.	e.	PROPN
ejpam-7057	148	4	then	then	ADV
ejpam-7057	148	5	(	(	PUNCT
ejpam-7057	148	6	〈	〈	PROPN
ejpam-7057	148	7	aij	aij	PROPN
ejpam-7057	148	8	,	,	PUNCT
ejpam-7057	148	9	a′ij	a′ij	NOUN
ejpam-7057	148	10	〉	〉	PROPN
ejpam-7057	148	11	)	)	PUNCT
ejpam-7057	148	12	c	c	NOUN
ejpam-7057	148	13	↽	↽	PROPN
ejpam-7057	148	14	〈	〈	PROPN
ejpam-7057	148	15	y	y	PROPN
ejpam-7057	148	16	,	,	PUNCT
ejpam-7057	148	17	y′	y′	NUM
ejpam-7057	148	18	〉	〉	NOUN
ejpam-7057	148	19	=	=	SYM
ejpam-7057	148	20	(	(	PUNCT
ejpam-7057	148	21	(	(	PUNCT
ejpam-7057	148	22	〈	〈	NOUN
ejpam-7057	148	23	an+1	an+1	NOUN
ejpam-7057	148	24	ij	ij	NOUN
ejpam-7057	148	25	,	,	PUNCT
ejpam-7057	148	26	an+1	an+1	NOUN
ejpam-7057	148	27	ij	ij	NUM
ejpam-7057	148	28	〉	〉	NUM
ejpam-7057	148	29	)	)	PUNCT
ejpam-7057	148	30	c	c	PROPN
ejpam-7057	148	31	↽	↽	NOUN
ejpam-7057	148	32	)	)	PUNCT
ejpam-7057	149	1	e	e	X
ejpam-7057	149	2	=	=	SYM
ejpam-7057	149	3	(	(	PUNCT
ejpam-7057	149	4	(	(	PUNCT
ejpam-7057	149	5	〈	〈	NOUN
ejpam-7057	149	6	anij	anij	NOUN
ejpam-7057	149	7	,	,	PUNCT
ejpam-7057	149	8	a′nij	a′nij	PROPN
ejpam-7057	149	9	〉	〉	PROPN
ejpam-7057	149	10	)	)	PUNCT
ejpam-7057	149	11	c	c	NOUN
ejpam-7057	149	12	↽	↽	NOUN
ejpam-7057	149	13	)	)	PUNCT
ejpam-7057	149	14	e	e	X
ejpam-7057	149	15	=	=	SYM
ejpam-7057	149	16	(	(	PUNCT
ejpam-7057	149	17	〈	〈	PROPN
ejpam-7057	149	18	y	y	PROPN
ejpam-7057	149	19	,	,	PUNCT
ejpam-7057	149	20	y′	y′	NOUN
ejpam-7057	149	21	〉	〉	NOUN
ejpam-7057	149	22	)	)	PUNCT
ejpam-7057	149	23	,	,	PUNCT
ejpam-7057	149	24	and	and	CCONJ
ejpam-7057	149	25	so	so	ADV
ejpam-7057	149	26	ρ((〈aij	ρ((〈aij	ADJ
ejpam-7057	149	27	,	,	PUNCT
ejpam-7057	149	28	a′ij	a′ij	PROPN
ejpam-7057	149	29	〉	〉	PROPN
ejpam-7057	149	30	)	)	PUNCT
ejpam-7057	149	31	)	)	PUNCT
ejpam-7057	150	1	=	=	PUNCT
ejpam-7057	150	2	〈	〈	PROPN
ejpam-7057	150	3	1	1	NUM
ejpam-7057	150	4	,	,	PUNCT
ejpam-7057	150	5	0	0	NUM
ejpam-7057	150	6	〉	〉	NOUN
ejpam-7057	150	7	,	,	PUNCT
ejpam-7057	150	8	which	which	PRON
ejpam-7057	150	9	is	be	AUX
ejpam-7057	150	10	contradiction	contradiction	NOUN
ejpam-7057	150	11	.	.	PUNCT
ejpam-7057	151	1	theorem	theorem	NOUN
ejpam-7057	151	2	2	2	NUM
ejpam-7057	151	3	.	.	X
ejpam-7057	152	1	let	let	VERB
ejpam-7057	152	2	(	(	PUNCT
ejpam-7057	152	3	〈	〈	NOUN
ejpam-7057	152	4	aij	aij	PROPN
ejpam-7057	152	5	,	,	PUNCT
ejpam-7057	152	6	a′ij	a′ij	NOUN
ejpam-7057	152	7	〉	〉	PROPN
ejpam-7057	152	8	)	)	PUNCT
ejpam-7057	152	9	∈	∈	PROPN
ejpam-7057	153	1	fn	fn	NOUN
ejpam-7057	153	2	.	.	PUNCT
ejpam-7057	154	1	then	then	ADV
ejpam-7057	154	2	the	the	DET
ejpam-7057	154	3	set	set	NOUN
ejpam-7057	154	4	σ((〈aij	σ((〈aij	NOUN
ejpam-7057	154	5	,	,	PUNCT
ejpam-7057	154	6	a′ij	a′ij	PROPN
ejpam-7057	154	7	〉	〉	PROPN
ejpam-7057	154	8	)	)	PUNCT
ejpam-7057	154	9	)	)	PUNCT
ejpam-7057	154	10	has	have	AUX
ejpam-7057	154	11	following	follow	VERB
ejpam-7057	154	12	properties	property	NOUN
ejpam-7057	154	13	.	.	PUNCT
ejpam-7057	155	1	(	(	PUNCT
ejpam-7057	155	2	1	1	X
ejpam-7057	155	3	)	)	PUNCT
ejpam-7057	155	4	(	(	PUNCT
ejpam-7057	155	5	〈	〈	PROPN
ejpam-7057	155	6	aij	aij	PROPN
ejpam-7057	155	7	,	,	PUNCT
ejpam-7057	155	8	a′ij	a′ij	PROPN
ejpam-7057	155	9	〉	〉	PROPN
ejpam-7057	155	10	)	)	PUNCT
ejpam-7057	155	11	is	be	AUX
ejpam-7057	155	12	nilpotent	nilpotent	ADJ
ejpam-7057	155	13	iff	iff	PROPN
ejpam-7057	155	14	σ((〈aij	σ((〈aij	NOUN
ejpam-7057	155	15	,	,	PUNCT
ejpam-7057	155	16	a′ij	a′ij	PROPN
ejpam-7057	155	17	〉	〉	PROPN
ejpam-7057	155	18	)	)	PUNCT
ejpam-7057	155	19	)	)	PUNCT
ejpam-7057	156	1	=	=	PUNCT
ejpam-7057	156	2	〈	〈	PROPN
ejpam-7057	156	3	0	0	NUM
ejpam-7057	156	4	,	,	PUNCT
ejpam-7057	156	5	1	1	NUM
ejpam-7057	156	6	〉	〉	NUM
ejpam-7057	156	7	.	.	PUNCT
ejpam-7057	157	1	(	(	PUNCT
ejpam-7057	157	2	2	2	NUM
ejpam-7057	157	3	)	)	PUNCT
ejpam-7057	157	4	(	(	PUNCT
ejpam-7057	157	5	〈	〈	PROPN
ejpam-7057	157	6	aij	aij	PROPN
ejpam-7057	157	7	,	,	PUNCT
ejpam-7057	157	8	a′ij	a′ij	NOUN
ejpam-7057	157	9	〉	〉	PROPN
ejpam-7057	157	10	)	)	PUNCT
ejpam-7057	157	11	is	be	AUX
ejpam-7057	157	12	non	non	ADJ
ejpam-7057	157	13	nilpotent	nilpotent	ADJ
ejpam-7057	157	14	,	,	PUNCT
ejpam-7057	157	15	every	every	DET
ejpam-7057	157	16	column	column	NOUN
ejpam-7057	157	17	of	of	ADP
ejpam-7057	157	18	(	(	PUNCT
ejpam-7057	157	19	〈	〈	PROPN
ejpam-7057	157	20	aij	aij	PROPN
ejpam-7057	157	21	,	,	PUNCT
ejpam-7057	157	22	a′ij	a′ij	NOUN
ejpam-7057	157	23	〉	〉	PROPN
ejpam-7057	157	24	)	)	PUNCT
ejpam-7057	157	25	is	be	AUX
ejpam-7057	157	26	6=	6=	NUM
ejpam-7057	157	27	0	0	NUM
ejpam-7057	157	28	iff	iff	PROPN
ejpam-7057	157	29	σ((〈aij	σ((〈aij	NOUN
ejpam-7057	157	30	,	,	PUNCT
ejpam-7057	157	31	a′ij	a′ij	PROPN
ejpam-7057	157	32	〉	〉	PROPN
ejpam-7057	157	33	)	)	PUNCT
ejpam-7057	157	34	)	)	PUNCT
ejpam-7057	158	1	=	=	PUNCT
ejpam-7057	158	2	(	(	PUNCT
ejpam-7057	158	3	0	0	NUM
ejpam-7057	158	4	,	,	PUNCT
ejpam-7057	158	5	1	1	NUM
ejpam-7057	158	6	]	]	PUNCT
ejpam-7057	158	7	(	(	PUNCT
ejpam-7057	158	8	3	3	NUM
ejpam-7057	158	9	)	)	PUNCT
ejpam-7057	158	10	(	(	PUNCT
ejpam-7057	158	11	〈	〈	PROPN
ejpam-7057	158	12	aij	aij	PROPN
ejpam-7057	158	13	,	,	PUNCT
ejpam-7057	158	14	a′ij	a′ij	NOUN
ejpam-7057	158	15	〉	〉	PROPN
ejpam-7057	158	16	)	)	PUNCT
ejpam-7057	158	17	is	be	AUX
ejpam-7057	158	18	non	non	ADJ
ejpam-7057	158	19	nilpotent	nilpotent	ADJ
ejpam-7057	158	20	,	,	PUNCT
ejpam-7057	158	21	contains	contain	VERB
ejpam-7057	158	22	at	at	ADV
ejpam-7057	158	23	least	least	ADV
ejpam-7057	158	24	one	one	NUM
ejpam-7057	158	25	zero	zero	NUM
ejpam-7057	158	26	column	column	NOUN
ejpam-7057	158	27	iff	iff	PROPN
ejpam-7057	158	28	σ((〈aij	σ((〈aij	NOUN
ejpam-7057	158	29	,	,	PUNCT
ejpam-7057	158	30	a′ij	a′ij	PROPN
ejpam-7057	158	31	〉	〉	PROPN
ejpam-7057	158	32	)	)	PUNCT
ejpam-7057	158	33	)	)	PUNCT
ejpam-7057	159	1	=	=	PUNCT
ejpam-7057	160	1	[	[	X
ejpam-7057	160	2	0	0	NUM
ejpam-7057	160	3	,	,	PUNCT
ejpam-7057	160	4	1	1	NUM
ejpam-7057	160	5	]	]	ADJ
ejpam-7057	160	6	proof	proof	NOUN
ejpam-7057	160	7	.	.	PUNCT
ejpam-7057	161	1	condition	condition	NOUN
ejpam-7057	161	2	(	(	PUNCT
ejpam-7057	161	3	1	1	X
ejpam-7057	161	4	)	)	PUNCT
ejpam-7057	161	5	has	have	AUX
ejpam-7057	161	6	been	be	AUX
ejpam-7057	161	7	shown	show	VERB
ejpam-7057	161	8	in	in	ADP
ejpam-7057	161	9	theorem	theorem	NOUN
ejpam-7057	161	10	1	1	NUM
ejpam-7057	161	11	.	.	PUNCT
ejpam-7057	162	1	(	(	PUNCT
ejpam-7057	162	2	2	2	NUM
ejpam-7057	162	3	)	)	PUNCT
ejpam-7057	162	4	by	by	ADP
ejpam-7057	162	5	lemma	lemma	PROPN
ejpam-7057	162	6	1	1	NUM
ejpam-7057	162	7	and	and	CCONJ
ejpam-7057	162	8	condition	condition	NOUN
ejpam-7057	162	9	(	(	PUNCT
ejpam-7057	162	10	1	1	NUM
ejpam-7057	162	11	)	)	PUNCT
ejpam-7057	162	12	,	,	PUNCT
ejpam-7057	162	13	ρ((〈aij	ρ((〈aij	NOUN
ejpam-7057	162	14	,	,	PUNCT
ejpam-7057	162	15	a′ij	a′ij	PROPN
ejpam-7057	162	16	〉	〉	PROPN
ejpam-7057	162	17	)	)	PUNCT
ejpam-7057	162	18	)	)	PUNCT
ejpam-7057	163	1	=	=	PUNCT
ejpam-7057	163	2	〈	〈	PROPN
ejpam-7057	163	3	1	1	NUM
ejpam-7057	163	4	,	,	PUNCT
ejpam-7057	163	5	0	0	NUM
ejpam-7057	163	6	〉	〉	NOUN
ejpam-7057	163	7	.	.	PUNCT
ejpam-7057	164	1	let	let	VERB
ejpam-7057	164	2	〈	〈	PROPN
ejpam-7057	164	3	1	1	NUM
ejpam-7057	164	4	,	,	PUNCT
ejpam-7057	164	5	0	0	NUM
ejpam-7057	164	6	〉	〉	NOUN
ejpam-7057	164	7	is	be	AUX
ejpam-7057	164	8	the	the	DET
ejpam-7057	164	9	eigenvalue	eigenvalue	PROPN
ejpam-7057	164	10	of	of	ADP
ejpam-7057	164	11	(	(	PUNCT
ejpam-7057	164	12	〈	〈	PROPN
ejpam-7057	164	13	aij	aij	PROPN
ejpam-7057	164	14	,	,	PUNCT
ejpam-7057	164	15	a′ij	a′ij	PROPN
ejpam-7057	164	16	〉	〉	PROPN
ejpam-7057	164	17	)	)	PUNCT
ejpam-7057	164	18	with	with	ADP
ejpam-7057	164	19	nonzero	nonzero	PROPN
ejpam-7057	164	20	eigenvalue	eigenvalue	PROPN
ejpam-7057	164	21	〈	〈	PROPN
ejpam-7057	164	22	x	x	PROPN
ejpam-7057	164	23	,	,	PUNCT
ejpam-7057	164	24	x′	x′	PROPN
ejpam-7057	164	25	〉	〉	PROPN
ejpam-7057	164	26	.	.	PUNCT
ejpam-7057	165	1	for	for	ADP
ejpam-7057	165	2	〈	〈	PROPN
ejpam-7057	165	3	0	0	NUM
ejpam-7057	165	4	,	,	PUNCT
ejpam-7057	165	5	1	1	NUM
ejpam-7057	165	6	〉	〉	NOUN
ejpam-7057	165	7	<	<	X
ejpam-7057	165	8	〈	〈	PROPN
ejpam-7057	165	9	β	β	X
ejpam-7057	165	10	,	,	PUNCT
ejpam-7057	165	11	β′	β′	PROPN
ejpam-7057	165	12	〉	〉	NOUN
ejpam-7057	165	13	≤	≤	NUM
ejpam-7057	165	14	〈	〈	PROPN
ejpam-7057	165	15	1	1	NUM
ejpam-7057	165	16	,	,	PUNCT
ejpam-7057	165	17	0	0	NUM
ejpam-7057	165	18	〉	〉	NOUN
ejpam-7057	165	19	since	since	ADV
ejpam-7057	165	20	,	,	PUNCT
ejpam-7057	165	21	(	(	PUNCT
ejpam-7057	165	22	〈	〈	PROPN
ejpam-7057	165	23	aij	aij	PROPN
ejpam-7057	165	24	,	,	PUNCT
ejpam-7057	165	25	a′ij〉)(〈β	a′ij〉)(〈β	PROPN
ejpam-7057	165	26	,	,	PUNCT
ejpam-7057	165	27	β′〉〈x	β′〉〈x	NOUN
ejpam-7057	165	28	,	,	PUNCT
ejpam-7057	165	29	x′	x′	PROPN
ejpam-7057	165	30	〉	〉	NUM
ejpam-7057	165	31	)	)	PUNCT
ejpam-7057	165	32	=	=	PUNCT
ejpam-7057	166	1	〈	〈	PROPN
ejpam-7057	166	2	β	β	X
ejpam-7057	166	3	,	,	PUNCT
ejpam-7057	166	4	β′〉〈x	β′〉〈x	PROPN
ejpam-7057	166	5	,	,	PUNCT
ejpam-7057	166	6	x′	x′	PROPN
ejpam-7057	166	7	〉	〉	NOUN
ejpam-7057	166	8	=	=	SYM
ejpam-7057	166	9	〈	〈	PROPN
ejpam-7057	166	10	β	β	X
ejpam-7057	166	11	,	,	PUNCT
ejpam-7057	166	12	β′〉(〈β	β′〉(〈β	PROPN
ejpam-7057	166	13	,	,	PUNCT
ejpam-7057	166	14	β′〉〈x	β′〉〈x	NOUN
ejpam-7057	166	15	,	,	PUNCT
ejpam-7057	166	16	x′	x′	PROPN
ejpam-7057	166	17	〉	〉	NUM
ejpam-7057	166	18	)	)	PUNCT
ejpam-7057	166	19	.	.	PUNCT
ejpam-7057	167	1	thus	thus	ADV
ejpam-7057	167	2	[	[	X
ejpam-7057	167	3	0	0	NUM
ejpam-7057	167	4	,	,	PUNCT
ejpam-7057	167	5	1	1	NUM
ejpam-7057	167	6	]	]	PUNCT
ejpam-7057	167	7	⊂	⊂	X
ejpam-7057	167	8	σ((〈aij	σ((〈aij	NOUN
ejpam-7057	167	9	,	,	PUNCT
ejpam-7057	167	10	a′ij	a′ij	NOUN
ejpam-7057	167	11	〉	〉	PROPN
ejpam-7057	167	12	)	)	PUNCT
ejpam-7057	167	13	)	)	PUNCT
ejpam-7057	167	14	.	.	PUNCT
ejpam-7057	168	1	every	every	DET
ejpam-7057	168	2	column	column	NOUN
ejpam-7057	168	3	of	of	ADP
ejpam-7057	168	4	(	(	PUNCT
ejpam-7057	168	5	〈	〈	PROPN
ejpam-7057	168	6	aij	aij	PROPN
ejpam-7057	168	7	,	,	PUNCT
ejpam-7057	168	8	a′ij	a′ij	NOUN
ejpam-7057	168	9	〉	〉	PROPN
ejpam-7057	168	10	)	)	PUNCT
ejpam-7057	168	11	is	be	AUX
ejpam-7057	168	12	6=	6=	ADP
ejpam-7057	168	13	0	0	NUM
ejpam-7057	168	14	,	,	PUNCT
ejpam-7057	168	15	by	by	ADP
ejpam-7057	168	16	lemma	lemma	PROPN
ejpam-7057	168	17	1	1	NUM
ejpam-7057	168	18	i.e	i.e	PROPN
ejpam-7057	168	19	(	(	PUNCT
ejpam-7057	168	20	0	0	NUM
ejpam-7057	168	21	,	,	PUNCT
ejpam-7057	168	22	1	1	NUM
ejpam-7057	168	23	]	]	PUNCT
ejpam-7057	168	24	=	=	SYM
ejpam-7057	168	25	σ((〈aij	σ((〈aij	NOUN
ejpam-7057	168	26	,	,	PUNCT
ejpam-7057	168	27	a′ij	a′ij	NOUN
ejpam-7057	168	28	〉	〉	PROPN
ejpam-7057	168	29	)	)	PUNCT
ejpam-7057	168	30	)	)	PUNCT
ejpam-7057	168	31	.	.	PUNCT
ejpam-7057	169	1	inverse	inverse	NOUN
ejpam-7057	169	2	follows	follow	VERB
ejpam-7057	169	3	from	from	ADP
ejpam-7057	169	4	lemma	lemma	PROPN
ejpam-7057	169	5	1	1	NUM
ejpam-7057	169	6	and	and	CCONJ
ejpam-7057	169	7	properety	properety	NOUN
ejpam-7057	169	8	(	(	PUNCT
ejpam-7057	169	9	1	1	NUM
ejpam-7057	169	10	)	)	PUNCT
ejpam-7057	169	11	.	.	PUNCT
ejpam-7057	170	1	proof	proof	NOUN
ejpam-7057	170	2	of	of	ADP
ejpam-7057	170	3	(	(	PUNCT
ejpam-7057	170	4	3	3	X
ejpam-7057	170	5	)	)	PUNCT
ejpam-7057	170	6	similar	similar	ADJ
ejpam-7057	170	7	to	to	ADP
ejpam-7057	170	8	that	that	PRON
ejpam-7057	170	9	of	of	ADP
ejpam-7057	170	10	(	(	PUNCT
ejpam-7057	170	11	2	2	NUM
ejpam-7057	170	12	)	)	PUNCT
ejpam-7057	170	13	,	,	PUNCT
ejpam-7057	170	14	expect	expect	VERB
ejpam-7057	170	15	by	by	ADP
ejpam-7057	170	16	adding	add	VERB
ejpam-7057	170	17	that	that	SCONJ
ejpam-7057	170	18	〈	〈	PROPN
ejpam-7057	170	19	0	0	NUM
ejpam-7057	170	20	,	,	PUNCT
ejpam-7057	170	21	1	1	NUM
ejpam-7057	170	22	〉	〉	NUM
ejpam-7057	170	23	∈	∈	NOUN
ejpam-7057	170	24	σ((〈aij	σ((〈aij	NOUN
ejpam-7057	170	25	,	,	PUNCT
ejpam-7057	170	26	a′ij	a′ij	NOUN
ejpam-7057	170	27	〉	〉	PROPN
ejpam-7057	170	28	)	)	PUNCT
ejpam-7057	170	29	because	because	SCONJ
ejpam-7057	170	30	(	(	PUNCT
ejpam-7057	170	31	〈	〈	PROPN
ejpam-7057	170	32	aij	aij	PROPN
ejpam-7057	170	33	,	,	PUNCT
ejpam-7057	170	34	a′ij	a′ij	PROPN
ejpam-7057	170	35	〉	〉	PROPN
ejpam-7057	170	36	)	)	PUNCT
ejpam-7057	170	37	had	have	VERB
ejpam-7057	170	38	a	a	DET
ejpam-7057	170	39	zero	zero	NUM
ejpam-7057	170	40	column	column	NOUN
ejpam-7057	170	41	.	.	PUNCT
ejpam-7057	171	1	thus	thus	ADV
ejpam-7057	171	2	[	[	X
ejpam-7057	171	3	0	0	NUM
ejpam-7057	171	4	,	,	PUNCT
ejpam-7057	171	5	1	1	NUM
ejpam-7057	171	6	]	]	PUNCT
ejpam-7057	171	7	=	=	SYM
ejpam-7057	171	8	σ((〈aij	σ((〈aij	NOUN
ejpam-7057	171	9	,	,	PUNCT
ejpam-7057	171	10	a′ij	a′ij	NOUN
ejpam-7057	171	11	〉	〉	PROPN
ejpam-7057	171	12	)	)	PUNCT
ejpam-7057	171	13	)	)	PUNCT
ejpam-7057	171	14	.	.	PUNCT
ejpam-7057	172	1	example	example	NOUN
ejpam-7057	173	1	1	1	X
ejpam-7057	173	2	.	.	PUNCT
ejpam-7057	174	1	let	let	VERB
ejpam-7057	174	2	(	(	PUNCT
ejpam-7057	174	3	〈	〈	NOUN
ejpam-7057	174	4	aij	aij	PROPN
ejpam-7057	174	5	,	,	PUNCT
ejpam-7057	174	6	a′ij	a′ij	NOUN
ejpam-7057	174	7	〉	〉	NOUN
ejpam-7057	174	8	)	)	PUNCT
ejpam-7057	174	9	=	=	PRON
ejpam-7057	175	1	(	(	PUNCT
ejpam-7057	175	2	〈	〈	PROPN
ejpam-7057	175	3	0	0	NUM
ejpam-7057	175	4	,	,	PUNCT
ejpam-7057	175	5	1	1	NUM
ejpam-7057	175	6	〉	〉	NUM
ejpam-7057	175	7	〈	〈	PROPN
ejpam-7057	175	8	0.5	0.5	NUM
ejpam-7057	175	9	,	,	PUNCT
ejpam-7057	175	10	0.5	0.5	NUM
ejpam-7057	175	11	〉	〉	NUM
ejpam-7057	175	12	〈	〈	PROPN
ejpam-7057	175	13	0	0	NUM
ejpam-7057	175	14	,	,	PUNCT
ejpam-7057	175	15	1	1	NUM
ejpam-7057	175	16	〉	〉	NUM
ejpam-7057	175	17	〈	〈	PROPN
ejpam-7057	175	18	0	0	NUM
ejpam-7057	175	19	,	,	PUNCT
ejpam-7057	175	20	1	1	NUM
ejpam-7057	175	21	〉	〉	NUM
ejpam-7057	175	22	)	)	PUNCT
ejpam-7057	175	23	,	,	PUNCT
ejpam-7057	175	24	(	(	PUNCT
ejpam-7057	175	25	〈	〈	NOUN
ejpam-7057	175	26	bij	bij	NOUN
ejpam-7057	175	27	,	,	PUNCT
ejpam-7057	175	28	b′ij	b′ij	VERB
ejpam-7057	175	29	〉	〉	NUM
ejpam-7057	175	30	)	)	PUNCT
ejpam-7057	175	31	=	=	PRON
ejpam-7057	176	1	(	(	PUNCT
ejpam-7057	176	2	〈	〈	PROPN
ejpam-7057	176	3	0.5	0.5	NUM
ejpam-7057	176	4	,	,	PUNCT
ejpam-7057	176	5	0.5	0.5	NUM
ejpam-7057	176	6	〉	〉	NUM
ejpam-7057	176	7	〈	〈	PROPN
ejpam-7057	176	8	0.5	0.5	NUM
ejpam-7057	176	9	,	,	PUNCT
ejpam-7057	176	10	0.5	0.5	NUM
ejpam-7057	176	11	〉	〉	NUM
ejpam-7057	176	12	〈	〈	PROPN
ejpam-7057	176	13	0	0	NUM
ejpam-7057	176	14	,	,	PUNCT
ejpam-7057	176	15	1	1	NUM
ejpam-7057	176	16	〉	〉	NUM
ejpam-7057	176	17	〈	〈	PROPN
ejpam-7057	176	18	0	0	NUM
ejpam-7057	176	19	,	,	PUNCT
ejpam-7057	176	20	1	1	NUM
ejpam-7057	176	21	〉	〉	NUM
ejpam-7057	176	22	)	)	PUNCT
ejpam-7057	176	23	be	be	AUX
ejpam-7057	176	24	irreflexive	irreflexive	ADJ
ejpam-7057	176	25	,	,	PUNCT
ejpam-7057	176	26	antisymmetric	antisymmetric	ADJ
ejpam-7057	176	27	and	and	CCONJ
ejpam-7057	176	28	w	w	NOUN
ejpam-7057	176	29	-	-	PUNCT
ejpam-7057	176	30	transitive	transitive	ADJ
ejpam-7057	176	31	ifm	ifm	NOUN
ejpam-7057	176	32	.	.	PUNCT
ejpam-7057	177	1	now	now	ADV
ejpam-7057	177	2	,	,	PUNCT
ejpam-7057	177	3	let	let	VERB
ejpam-7057	177	4	(	(	PUNCT
ejpam-7057	177	5	〈	〈	PROPN
ejpam-7057	177	6	cij	cij	PROPN
ejpam-7057	177	7	,	,	PUNCT
ejpam-7057	177	8	c′ij	c′ij	NOUN
ejpam-7057	177	9	〉	〉	NUM
ejpam-7057	177	10	)	)	PUNCT
ejpam-7057	177	11	=	=	PRON
ejpam-7057	178	1	(	(	PUNCT
ejpam-7057	178	2	〈	〈	PROPN
ejpam-7057	178	3	0	0	NUM
ejpam-7057	178	4	,	,	PUNCT
ejpam-7057	178	5	1	1	NUM
ejpam-7057	178	6	〉	〉	NUM
ejpam-7057	178	7	〈	〈	PROPN
ejpam-7057	178	8	0.5	0.5	NUM
ejpam-7057	178	9	,	,	PUNCT
ejpam-7057	178	10	0.5	0.5	NUM
ejpam-7057	178	11	〉	〉	NUM
ejpam-7057	178	12	〈	〈	PROPN
ejpam-7057	178	13	0	0	NUM
ejpam-7057	178	14	,	,	PUNCT
ejpam-7057	178	15	1	1	NUM
ejpam-7057	178	16	〉	〉	NUM
ejpam-7057	178	17	〈	〈	PROPN
ejpam-7057	178	18	0.5	0.5	NUM
ejpam-7057	178	19	,	,	PUNCT
ejpam-7057	178	20	0.5	0.5	NUM
ejpam-7057	178	21	〉	〉	NUM
ejpam-7057	178	22	)	)	PUNCT
ejpam-7057	178	23	.	.	PUNCT
ejpam-7057	179	1	we	we	PRON
ejpam-7057	179	2	note	note	VERB
ejpam-7057	179	3	that	that	SCONJ
ejpam-7057	179	4	ifm	ifm	PROPN
ejpam-7057	179	5	(	(	PUNCT
ejpam-7057	179	6	〈	〈	PROPN
ejpam-7057	179	7	aij	aij	PROPN
ejpam-7057	179	8	,	,	PUNCT
ejpam-7057	179	9	a′ij	a′ij	PROPN
ejpam-7057	179	10	〉	〉	PROPN
ejpam-7057	179	11	)	)	PUNCT
ejpam-7057	179	12	is	be	AUX
ejpam-7057	179	13	nilpotent	nilpotent	ADJ
ejpam-7057	179	14	.	.	PUNCT
ejpam-7057	180	1	computation	computation	NOUN
ejpam-7057	180	2	shows	show	VERB
ejpam-7057	180	3	that	that	SCONJ
ejpam-7057	180	4	σ((〈aij	σ((〈aij	NOUN
ejpam-7057	180	5	,	,	PUNCT
ejpam-7057	180	6	a′ij	a′ij	NOUN
ejpam-7057	180	7	〉	〉	PROPN
ejpam-7057	180	8	)	)	PUNCT
ejpam-7057	180	9	)	)	PUNCT
ejpam-7057	181	1	=	=	PUNCT
ejpam-7057	181	2	〈	〈	PROPN
ejpam-7057	181	3	0	0	NUM
ejpam-7057	181	4	,	,	PUNCT
ejpam-7057	181	5	1	1	NUM
ejpam-7057	181	6	〉	〉	NUM
ejpam-7057	181	7	.	.	PUNCT
ejpam-7057	182	1	it	it	PRON
ejpam-7057	182	2	also	also	ADV
ejpam-7057	182	3	shows	show	VERB
ejpam-7057	182	4	by	by	ADP
ejpam-7057	182	5	impilication	impilication	NOUN
ejpam-7057	182	6	operator	operator	NOUN
ejpam-7057	182	7	(	(	PUNCT
ejpam-7057	182	8	〈	〈	NOUN
ejpam-7057	182	9	bij	bij	NOUN
ejpam-7057	182	10	,	,	PUNCT
ejpam-7057	182	11	b′ij	b′ij	VERB
ejpam-7057	182	12	〉	〉	NUM
ejpam-7057	182	13	)	)	PUNCT
ejpam-7057	182	14	and	and	CCONJ
ejpam-7057	182	15	(	(	PUNCT
ejpam-7057	182	16	〈	〈	PROPN
ejpam-7057	182	17	cij	cij	PROPN
ejpam-7057	182	18	,	,	PUNCT
ejpam-7057	182	19	c′ij	c′ij	NOUN
ejpam-7057	182	20	〉	〉	NUM
ejpam-7057	182	21	)	)	PUNCT
ejpam-7057	182	22	are	be	AUX
ejpam-7057	182	23	not	not	PART
ejpam-7057	182	24	nilpotent	nilpotent	ADJ
ejpam-7057	182	25	ifm	ifm	NOUN
ejpam-7057	182	26	,	,	PUNCT
ejpam-7057	182	27	moreover	moreover	ADV
ejpam-7057	182	28	,	,	PUNCT
ejpam-7057	182	29	σ((〈bij	σ((〈bij	ADJ
ejpam-7057	182	30	,	,	PUNCT
ejpam-7057	182	31	b′ij	b′ij	VERB
ejpam-7057	182	32	〉	〉	PROPN
ejpam-7057	182	33	)	)	PUNCT
ejpam-7057	182	34	)	)	PUNCT
ejpam-7057	182	35	=	=	PUNCT
ejpam-7057	183	1	(	(	PUNCT
ejpam-7057	183	2	0	0	NUM
ejpam-7057	183	3	,	,	PUNCT
ejpam-7057	183	4	1	1	NUM
ejpam-7057	183	5	]	]	PUNCT
ejpam-7057	183	6	and	and	CCONJ
ejpam-7057	183	7	σ((〈cij	σ((〈cij	NOUN
ejpam-7057	183	8	,	,	PUNCT
ejpam-7057	183	9	c′ij	c′ij	NOUN
ejpam-7057	183	10	〉	〉	NUM
ejpam-7057	183	11	)	)	PUNCT
ejpam-7057	183	12	)	)	PUNCT
ejpam-7057	184	1	=	=	PUNCT
ejpam-7057	185	1	[	[	X
ejpam-7057	185	2	0	0	NUM
ejpam-7057	185	3	,	,	PUNCT
ejpam-7057	185	4	1	1	NUM
ejpam-7057	185	5	]	]	PUNCT
ejpam-7057	185	6	.	.	PUNCT
ejpam-7057	186	1	theorem	theorem	NOUN
ejpam-7057	186	2	3	3	X
ejpam-7057	186	3	.	.	PUNCT
ejpam-7057	187	1	if	if	SCONJ
ejpam-7057	187	2	f	f	PROPN
ejpam-7057	187	3	=	=	PRON
ejpam-7057	187	4	{	{	PUNCT
ejpam-7057	187	5	(	(	PUNCT
ejpam-7057	187	6	〈	〈	PROPN
ejpam-7057	187	7	aij	aij	PROPN
ejpam-7057	187	8	,	,	PUNCT
ejpam-7057	187	9	a′ij〉)(1	a′ij〉)(1	PROPN
ejpam-7057	187	10	)	)	PUNCT
ejpam-7057	187	11	,	,	PUNCT
ejpam-7057	187	12	(	(	PUNCT
ejpam-7057	187	13	〈	〈	PROPN
ejpam-7057	187	14	aij	aij	PROPN
ejpam-7057	187	15	,	,	PUNCT
ejpam-7057	187	16	a′ij〉)(2	a′ij〉)(2	NOUN
ejpam-7057	187	17	)	)	PUNCT
ejpam-7057	187	18	,	,	PUNCT
ejpam-7057	187	19	...	...	PUNCT
ejpam-7057	187	20	,	,	PUNCT
ejpam-7057	187	21	(	(	PUNCT
ejpam-7057	187	22	〈	〈	PROPN
ejpam-7057	187	23	aij	aij	PROPN
ejpam-7057	187	24	,	,	PUNCT
ejpam-7057	187	25	a′ij〉)(m	a′ij〉)(m	ADJ
ejpam-7057	187	26	)	)	PUNCT
ejpam-7057	187	27	}	}	PUNCT
ejpam-7057	188	1	⊂	⊂	PROPN
ejpam-7057	189	1	fn	fn	PROPN
ejpam-7057	189	2	.	.	PUNCT
ejpam-7057	190	1	then	then	ADV
ejpam-7057	190	2	1	1	X
ejpam-7057	190	3	.	.	X
ejpam-7057	190	4	f	f	PROPN
ejpam-7057	190	5	is	be	AUX
ejpam-7057	190	6	simultaneously	simultaneously	ADV
ejpam-7057	190	7	nilpotent	nilpotent	ADJ
ejpam-7057	190	8	2	2	NUM
ejpam-7057	190	9	.	.	PUNCT
ejpam-7057	191	1	each	each	DET
ejpam-7057	191	2	principal	principal	ADJ
ejpam-7057	191	3	minor	minor	ADJ
ejpam-7057	191	4	of	of	ADP
ejpam-7057	191	5	(	(	PUNCT
ejpam-7057	191	6	〈	〈	NOUN
ejpam-7057	191	7	mij	mij	NOUN
ejpam-7057	191	8	,	,	PUNCT
ejpam-7057	191	9	m	m	VERB
ejpam-7057	191	10	′	′	NUM
ejpam-7057	191	11	ij	ij	NUM
ejpam-7057	191	12	〉	〉	NOUN
ejpam-7057	191	13	)	)	PUNCT
ejpam-7057	191	14	is	be	AUX
ejpam-7057	191	15	〈	〈	PROPN
ejpam-7057	191	16	0	0	NUM
ejpam-7057	191	17	,	,	PUNCT
ejpam-7057	191	18	1	1	NUM
ejpam-7057	191	19	〉	〉	NUM
ejpam-7057	191	20	for	for	ADP
ejpam-7057	191	21	all	all	PRON
ejpam-7057	191	22	(	(	PUNCT
ejpam-7057	191	23	〈	〈	NOUN
ejpam-7057	191	24	mij	mij	X
ejpam-7057	191	25	,	,	PUNCT
ejpam-7057	191	26	m	m	VERB
ejpam-7057	191	27	′	′	NUM
ejpam-7057	191	28	ij	ij	NUM
ejpam-7057	191	29	〉	〉	NOUN
ejpam-7057	191	30	)	)	PUNCT
ejpam-7057	191	31	∈	∈	PROPN
ejpam-7057	191	32	⋃	⋃	PUNCT
ejpam-7057	191	33	k≥1fk	k≥1fk	PROPN
ejpam-7057	191	34	3	3	NUM
ejpam-7057	191	35	.	.	PUNCT
ejpam-7057	192	1	the	the	DET
ejpam-7057	192	2	digraph	digraph	ADJ
ejpam-7057	192	3	γ(f	γ(f	PROPN
ejpam-7057	192	4	)	)	PUNCT
ejpam-7057	192	5	is	be	AUX
ejpam-7057	192	6	acyclic	acyclic	ADJ
ejpam-7057	192	7	.	.	PUNCT
ejpam-7057	193	1	s.	s.	PROPN
ejpam-7057	193	2	aljohani	aljohani	PROPN
ejpam-7057	193	3	,	,	PUNCT
ejpam-7057	193	4	r.	r.	PROPN
ejpam-7057	193	5	a.	a.	NOUN
ejpam-7057	193	6	padder	padder	PROPN
ejpam-7057	193	7	,	,	PUNCT
ejpam-7057	193	8	p.	p.	PROPN
ejpam-7057	193	9	devshali	devshali	PROPN
ejpam-7057	193	10	/	/	SYM
ejpam-7057	193	11	eur	eur	PROPN
ejpam-7057	193	12	.	.	PUNCT
ejpam-7057	194	1	j.	j.	PROPN
ejpam-7057	194	2	pure	pure	PROPN
ejpam-7057	194	3	appl	appl	PROPN
ejpam-7057	194	4	.	.	PROPN
ejpam-7057	194	5	math	math	PROPN
ejpam-7057	194	6	,	,	PUNCT
ejpam-7057	194	7	18	18	NUM
ejpam-7057	194	8	(	(	PUNCT
ejpam-7057	194	9	4	4	NUM
ejpam-7057	194	10	)	)	PUNCT
ejpam-7057	194	11	(	(	PUNCT
ejpam-7057	194	12	2025	2025	NUM
ejpam-7057	194	13	)	)	PUNCT
ejpam-7057	194	14	,	,	PUNCT
ejpam-7057	194	15	7057	7057	NUM
ejpam-7057	194	16	6	6	NUM
ejpam-7057	194	17	of	of	ADP
ejpam-7057	194	18	11	11	NUM
ejpam-7057	194	19	proof	proof	NOUN
ejpam-7057	194	20	.	.	PUNCT
ejpam-7057	195	1	(	(	PUNCT
ejpam-7057	195	2	1	1	X
ejpam-7057	195	3	)	)	PUNCT
ejpam-7057	195	4	⇒	⇒	NOUN
ejpam-7057	195	5	(	(	PUNCT
ejpam-7057	195	6	2	2	NUM
ejpam-7057	195	7	)	)	PUNCT
ejpam-7057	195	8	.	.	PUNCT
ejpam-7057	196	1	let	let	VERB
ejpam-7057	196	2	that	that	DET
ejpam-7057	196	3	det((〈mij	det((〈mij	NOUN
ejpam-7057	196	4	,	,	PUNCT
ejpam-7057	196	5	m	m	VERB
ejpam-7057	196	6	′	′	NUM
ejpam-7057	196	7	ij〉)[α	ij〉)[α	PROPN
ejpam-7057	196	8	]	]	PUNCT
ejpam-7057	196	9	)	)	PUNCT
ejpam-7057	196	10	6=	6=	ADP
ejpam-7057	197	1	〈	〈	PROPN
ejpam-7057	197	2	0	0	NUM
ejpam-7057	197	3	,	,	PUNCT
ejpam-7057	197	4	1	1	NUM
ejpam-7057	197	5	〉	〉	NUM
ejpam-7057	197	6	for	for	ADP
ejpam-7057	197	7	some	some	PRON
ejpam-7057	197	8	(	(	PUNCT
ejpam-7057	197	9	〈	〈	NOUN
ejpam-7057	197	10	mij	mij	X
ejpam-7057	197	11	,	,	PUNCT
ejpam-7057	197	12	m	m	VERB
ejpam-7057	197	13	′	′	NUM
ejpam-7057	197	14	ij	ij	NUM
ejpam-7057	197	15	〉	〉	NOUN
ejpam-7057	197	16	)	)	PUNCT
ejpam-7057	197	17	∈	∈	PROPN
ejpam-7057	197	18	⋃	⋃	NOUN
ejpam-7057	197	19	k≥1fk	k≥1fk	PROPN
ejpam-7057	197	20	and	and	CCONJ
ejpam-7057	197	21	[	[	X
ejpam-7057	197	22	α	α	X
ejpam-7057	197	23	]	]	X
ejpam-7057	197	24	=	=	SYM
ejpam-7057	197	25	α1	α1	PROPN
ejpam-7057	197	26	,	,	PUNCT
ejpam-7057	197	27	α2	α2	ADJ
ejpam-7057	197	28	,	,	PUNCT
ejpam-7057	197	29	α3	α3	NOUN
ejpam-7057	197	30	...	...	PUNCT
ejpam-7057	197	31	,	,	PUNCT
ejpam-7057	197	32	αl	αl	ADP
ejpam-7057	197	33	⊂	⊂	PROPN
ejpam-7057	197	34	1	1	NUM
ejpam-7057	197	35	,	,	PUNCT
ejpam-7057	197	36	2	2	NUM
ejpam-7057	197	37	,	,	PUNCT
ejpam-7057	197	38	3	3	NUM
ejpam-7057	197	39	,	,	PUNCT
ejpam-7057	197	40	...	...	PUNCT
ejpam-7057	197	41	n.	n.	PROPN
ejpam-7057	197	42	then	then	ADV
ejpam-7057	197	43	∃	∃	PROPN
ejpam-7057	197	44	permutation	permutation	PROPN
ejpam-7057	197	45	σ	σ	X
ejpam-7057	197	46	on	on	ADP
ejpam-7057	197	47	[	[	X
ejpam-7057	197	48	α	α	X
ejpam-7057	197	49	]	]	X
ejpam-7057	197	50	such	such	ADJ
ejpam-7057	197	51	that	that	SCONJ
ejpam-7057	197	52	[	[	X
ejpam-7057	197	53	(	(	PUNCT
ejpam-7057	197	54	〈	〈	NOUN
ejpam-7057	197	55	mij	mij	NOUN
ejpam-7057	197	56	,	,	PUNCT
ejpam-7057	197	57	m	m	VERB
ejpam-7057	197	58	′	′	NUM
ejpam-7057	197	59	ij〉)]αiσ(αi	ij〉)]αiσ(αi	NOUN
ejpam-7057	197	60	)	)	PUNCT
ejpam-7057	198	1	6=	6=	PUNCT
ejpam-7057	198	2	〈	〈	PROPN
ejpam-7057	198	3	0	0	NUM
ejpam-7057	198	4	,	,	PUNCT
ejpam-7057	198	5	1	1	NUM
ejpam-7057	198	6	〉	〉	NUM
ejpam-7057	198	7	for	for	ADP
ejpam-7057	198	8	i	i	PRON
ejpam-7057	198	9	=	=	NOUN
ejpam-7057	198	10	1	1	NUM
ejpam-7057	198	11	,	,	PUNCT
ejpam-7057	198	12	2	2	NUM
ejpam-7057	198	13	,	,	PUNCT
ejpam-7057	198	14	...	...	PUNCT
ejpam-7057	198	15	l.	l.	PROPN
ejpam-7057	198	16	let	let	VERB
ejpam-7057	198	17	(	(	PUNCT
ejpam-7057	198	18	β1	β1	NOUN
ejpam-7057	198	19	,	,	PUNCT
ejpam-7057	198	20	β2	β2	NOUN
ejpam-7057	198	21	...	...	PUNCT
ejpam-7057	198	22	,	,	PUNCT
ejpam-7057	198	23	βr	βr	X
ejpam-7057	198	24	)	)	PUNCT
ejpam-7057	198	25	cycle	cycle	NOUN
ejpam-7057	198	26	in	in	ADP
ejpam-7057	198	27	σ	σ	PROPN
ejpam-7057	198	28	.	.	PUNCT
ejpam-7057	199	1	then	then	ADV
ejpam-7057	199	2	(	(	PUNCT
ejpam-7057	199	3	〈	〈	NOUN
ejpam-7057	199	4	mij	mij	X
ejpam-7057	199	5	,	,	PUNCT
ejpam-7057	199	6	m	m	VERB
ejpam-7057	199	7	′	′	NUM
ejpam-7057	199	8	ij〉)βiβi+1	ij〉)βiβi+1	PROPN
ejpam-7057	199	9	6=	6=	ADP
ejpam-7057	199	10	〈	〈	PROPN
ejpam-7057	199	11	0	0	NUM
ejpam-7057	199	12	,	,	PUNCT
ejpam-7057	199	13	1	1	NUM
ejpam-7057	199	14	〉	〉	NUM
ejpam-7057	199	15	for	for	ADP
ejpam-7057	199	16	i	i	PRON
ejpam-7057	199	17	=	=	NOUN
ejpam-7057	199	18	1	1	NUM
ejpam-7057	199	19	,	,	PUNCT
ejpam-7057	199	20	2	2	NUM
ejpam-7057	199	21	,	,	PUNCT
ejpam-7057	199	22	3	3	NUM
ejpam-7057	199	23	,	,	PUNCT
ejpam-7057	199	24	...	...	PUNCT
ejpam-7057	200	1	r	r	NOUN
ejpam-7057	200	2	−	−	NOUN
ejpam-7057	200	3	1	1	NUM
ejpam-7057	200	4	and	and	CCONJ
ejpam-7057	200	5	[	[	X
ejpam-7057	200	6	(	(	PUNCT
ejpam-7057	200	7	〈	〈	NOUN
ejpam-7057	200	8	mij	mij	NOUN
ejpam-7057	200	9	,	,	PUNCT
ejpam-7057	200	10	m	m	VERB
ejpam-7057	200	11	′	′	NUM
ejpam-7057	200	12	ij〉)]βrβ1	ij〉)]βrβ1	PROPN
ejpam-7057	200	13	6=	6=	ADP
ejpam-7057	200	14	〈	〈	PROPN
ejpam-7057	200	15	0	0	NUM
ejpam-7057	200	16	,	,	PUNCT
ejpam-7057	200	17	1	1	NUM
ejpam-7057	200	18	〉	〉	NOUN
ejpam-7057	200	19	hence	hence	ADV
ejpam-7057	200	20	,	,	PUNCT
ejpam-7057	200	21	[	[	X
ejpam-7057	200	22	(	(	PUNCT
ejpam-7057	200	23	〈	〈	NOUN
ejpam-7057	200	24	mij	mij	NOUN
ejpam-7057	200	25	,	,	PUNCT
ejpam-7057	200	26	m	m	VERB
ejpam-7057	200	27	′	′	NUM
ejpam-7057	200	28	ij〉)rc	ij〉)rc	VERB
ejpam-7057	200	29	↽	↽	NOUN
ejpam-7057	200	30	]βiβi	]βiβi	NUM
ejpam-7057	200	31	6=	6=	ADP
ejpam-7057	200	32	〈	〈	PROPN
ejpam-7057	200	33	0	0	NUM
ejpam-7057	200	34	,	,	PUNCT
ejpam-7057	200	35	1	1	NUM
ejpam-7057	200	36	〉	〉	NUM
ejpam-7057	200	37	∀	∀	NOUN
ejpam-7057	201	1	i	i	NOUN
ejpam-7057	201	2	=	=	NOUN
ejpam-7057	201	3	1	1	NUM
ejpam-7057	201	4	,	,	PUNCT
ejpam-7057	201	5	2	2	NUM
ejpam-7057	201	6	,	,	PUNCT
ejpam-7057	201	7	...	...	PUNCT
ejpam-7057	201	8	,	,	PUNCT
ejpam-7057	201	9	r	r	NOUN
ejpam-7057	201	10	−	−	PROPN
ejpam-7057	201	11	1	1	NUM
ejpam-7057	201	12	.	.	PUNCT
ejpam-7057	202	1	that	that	ADV
ejpam-7057	202	2	is	is	ADV
ejpam-7057	202	3	(	(	PUNCT
ejpam-7057	202	4	〈	〈	NOUN
ejpam-7057	202	5	mij	mij	X
ejpam-7057	202	6	,	,	PUNCT
ejpam-7057	202	7	m	m	VERB
ejpam-7057	202	8	′	′	NUM
ejpam-7057	202	9	ij〉)nrc	ij〉)nrc	NOUN
ejpam-7057	202	10	↽	↽	PROPN
ejpam-7057	202	11	6=	6=	PROPN
ejpam-7057	202	12	〈	〈	PROPN
ejpam-7057	202	13	0	0	NUM
ejpam-7057	202	14	,	,	PUNCT
ejpam-7057	202	15	1	1	NUM
ejpam-7057	202	16	〉	〉	NUM
ejpam-7057	202	17	.	.	PUNCT
ejpam-7057	203	1	thus	thus	ADV
ejpam-7057	203	2	,	,	PUNCT
ejpam-7057	203	3	fnq	fnq	PROPN
ejpam-7057	203	4	6=	6=	PROPN
ejpam-7057	203	5	{	{	PUNCT
ejpam-7057	203	6	o	o	NOUN
ejpam-7057	203	7	}	}	PUNCT
ejpam-7057	203	8	for	for	ADP
ejpam-7057	203	9	some	some	DET
ejpam-7057	203	10	q	q	NOUN
ejpam-7057	203	11	,	,	PUNCT
ejpam-7057	203	12	and	and	CCONJ
ejpam-7057	203	13	so	so	ADV
ejpam-7057	203	14	fn	fn	PROPN
ejpam-7057	203	15	6=	6=	PROPN
ejpam-7057	203	16	{	{	PUNCT
ejpam-7057	203	17	o	o	NOUN
ejpam-7057	203	18	}	}	PUNCT
ejpam-7057	203	19	that	that	PRON
ejpam-7057	203	20	contradicts	contradict	VERB
ejpam-7057	203	21	.	.	PUNCT
ejpam-7057	203	22	(	(	PUNCT
ejpam-7057	203	23	2	2	X
ejpam-7057	203	24	)	)	PUNCT
ejpam-7057	203	25	⇒	⇒	NOUN
ejpam-7057	203	26	(	(	PUNCT
ejpam-7057	203	27	3	3	NUM
ejpam-7057	203	28	)	)	PUNCT
ejpam-7057	203	29	.	.	PUNCT
ejpam-7057	204	1	assume	assume	VERB
ejpam-7057	204	2	that	that	SCONJ
ejpam-7057	204	3	γ(f	γ(f	PROPN
ejpam-7057	204	4	)	)	PUNCT
ejpam-7057	204	5	contains	contain	VERB
ejpam-7057	204	6	a	a	DET
ejpam-7057	204	7	cycle	cycle	NOUN
ejpam-7057	204	8	γ(υβ1	γ(υβ1	NOUN
ejpam-7057	204	9	,	,	PUNCT
ejpam-7057	204	10	υβ2	υβ2	INTJ
ejpam-7057	204	11	,	,	PUNCT
ejpam-7057	204	12	...	...	PUNCT
ejpam-7057	204	13	,	,	PUNCT
ejpam-7057	204	14	υβk	υβk	NOUN
ejpam-7057	204	15	,	,	PUNCT
ejpam-7057	204	16	υβ1	υβ1	PROPN
ejpam-7057	204	17	)	)	PUNCT
ejpam-7057	204	18	.	.	PUNCT
ejpam-7057	205	1	then	then	ADV
ejpam-7057	205	2	∃	∃	PROPN
ejpam-7057	205	3	(	(	PUNCT
ejpam-7057	205	4	〈	〈	PROPN
ejpam-7057	205	5	aij	aij	PROPN
ejpam-7057	205	6	,	,	PUNCT
ejpam-7057	205	7	a′ij〉)1	a′ij〉)1	PROPN
ejpam-7057	205	8	,	,	PUNCT
ejpam-7057	205	9	...	...	PUNCT
ejpam-7057	205	10	,	,	PUNCT
ejpam-7057	205	11	(	(	PUNCT
ejpam-7057	205	12	〈	〈	NOUN
ejpam-7057	205	13	aij	aij	PROPN
ejpam-7057	205	14	,	,	PUNCT
ejpam-7057	205	15	a′ij〉)k	a′ij〉)k	PROPN
ejpam-7057	205	16	in	in	ADP
ejpam-7057	205	17	f	f	PROPN
ejpam-7057	205	18	such	such	ADJ
ejpam-7057	205	19	as	as	ADP
ejpam-7057	205	20	[	[	X
ejpam-7057	205	21	(	(	PUNCT
ejpam-7057	205	22	〈	〈	PROPN
ejpam-7057	205	23	aij	aij	PROPN
ejpam-7057	205	24	,	,	PUNCT
ejpam-7057	205	25	a′ij〉)i]βiβi+1	a′ij〉)i]βiβi+1	NOUN
ejpam-7057	205	26	6=	6=	PUNCT
ejpam-7057	205	27	〈	〈	PROPN
ejpam-7057	205	28	0	0	NUM
ejpam-7057	205	29	,	,	PUNCT
ejpam-7057	205	30	1	1	NUM
ejpam-7057	205	31	〉	〉	NUM
ejpam-7057	205	32	for	for	ADP
ejpam-7057	205	33	i	i	PRON
ejpam-7057	205	34	=	=	NOUN
ejpam-7057	205	35	1	1	NUM
ejpam-7057	205	36	,	,	PUNCT
ejpam-7057	205	37	2	2	NUM
ejpam-7057	205	38	,	,	PUNCT
ejpam-7057	205	39	...	...	PUNCT
ejpam-7057	206	1	k	k	X
ejpam-7057	207	1	−	−	NOUN
ejpam-7057	207	2	1	1	NUM
ejpam-7057	207	3	.	.	PUNCT
ejpam-7057	208	1	and	and	CCONJ
ejpam-7057	208	2	[	[	X
ejpam-7057	208	3	(	(	PUNCT
ejpam-7057	208	4	〈	〈	PROPN
ejpam-7057	208	5	aij	aij	PROPN
ejpam-7057	208	6	,	,	PUNCT
ejpam-7057	208	7	a′ij〉)k]βkβ1	a′ij〉)k]βkβ1	PROPN
ejpam-7057	208	8	6=	6=	ADP
ejpam-7057	208	9	〈	〈	PROPN
ejpam-7057	208	10	0	0	NUM
ejpam-7057	208	11	,	,	PUNCT
ejpam-7057	208	12	1	1	NUM
ejpam-7057	208	13	〉	〉	NOUN
ejpam-7057	208	14	that	that	PRON
ejpam-7057	208	15	is	be	AUX
ejpam-7057	208	16	[	[	X
ejpam-7057	208	17	(	(	PUNCT
ejpam-7057	208	18	〈	〈	PROPN
ejpam-7057	208	19	aij	aij	PROPN
ejpam-7057	208	20	,	,	PUNCT
ejpam-7057	208	21	a′ij〉)1	a′ij〉)1	PROPN
ejpam-7057	208	22	c	c	NOUN
ejpam-7057	208	23	↽	↽	X
ejpam-7057	208	24	...	...	PUNCT
ejpam-7057	209	1	c	c	NOUN
ejpam-7057	209	2	↽	↽	NOUN
ejpam-7057	209	3	(	(	PUNCT
ejpam-7057	209	4	〈	〈	PROPN
ejpam-7057	209	5	aij	aij	PROPN
ejpam-7057	209	6	,	,	PUNCT
ejpam-7057	209	7	a′ij〉)k]β1β1	a′ij〉)k]β1β1	PROPN
ejpam-7057	209	8	6=	6=	PUNCT
ejpam-7057	209	9	〈	〈	PROPN
ejpam-7057	209	10	0	0	NUM
ejpam-7057	209	11	,	,	PUNCT
ejpam-7057	209	12	1	1	NUM
ejpam-7057	209	13	〉	〉	NUM
ejpam-7057	209	14	and	and	CCONJ
ejpam-7057	209	15	hence	hence	ADV
ejpam-7057	209	16	,	,	PUNCT
ejpam-7057	209	17	det(((〈aij	det(((〈aij	PROPN
ejpam-7057	209	18	,	,	PUNCT
ejpam-7057	209	19	a′ij〉)1	a′ij〉)1	VERB
ejpam-7057	209	20	c	c	NOUN
ejpam-7057	209	21	↽	↽	X
ejpam-7057	209	22	...	...	PUNCT
ejpam-7057	210	1	c	c	NOUN
ejpam-7057	210	2	↽	↽	NOUN
ejpam-7057	210	3	(	(	PUNCT
ejpam-7057	210	4	〈	〈	PROPN
ejpam-7057	210	5	aij	aij	PROPN
ejpam-7057	210	6	,	,	PUNCT
ejpam-7057	210	7	a′ij〉)k)[β1	a′ij〉)k)[β1	PROPN
ejpam-7057	210	8	]	]	X
ejpam-7057	210	9	=	=	SYM
ejpam-7057	211	1	[	[	X
ejpam-7057	211	2	(	(	PUNCT
ejpam-7057	211	3	〈	〈	PROPN
ejpam-7057	211	4	aij	aij	PROPN
ejpam-7057	211	5	,	,	PUNCT
ejpam-7057	211	6	a′ij〉)1	a′ij〉)1	PROPN
ejpam-7057	211	7	c	c	NOUN
ejpam-7057	211	8	↽	↽	X
ejpam-7057	211	9	...	...	PUNCT
ejpam-7057	211	10	c	c	NOUN
ejpam-7057	211	11	↽	↽	NOUN
ejpam-7057	211	12	(	(	PUNCT
ejpam-7057	211	13	〈	〈	PROPN
ejpam-7057	211	14	aij	aij	PROPN
ejpam-7057	211	15	,	,	PUNCT
ejpam-7057	211	16	a′ij〉)k]β1β1	a′ij〉)k]β1β1	PROPN
ejpam-7057	211	17	6=	6=	PUNCT
ejpam-7057	211	18	〈	〈	PROPN
ejpam-7057	211	19	0	0	NUM
ejpam-7057	211	20	,	,	PUNCT
ejpam-7057	211	21	1	1	NUM
ejpam-7057	211	22	〉	〉	NUM
ejpam-7057	211	23	.	.	PUNCT
ejpam-7057	212	1	(	(	PUNCT
ejpam-7057	212	2	3	3	X
ejpam-7057	212	3	)	)	PUNCT
ejpam-7057	212	4	⇒	⇒	NOUN
ejpam-7057	212	5	(	(	PUNCT
ejpam-7057	212	6	1	1	NUM
ejpam-7057	212	7	)	)	PUNCT
ejpam-7057	212	8	.	.	PUNCT
ejpam-7057	213	1	let	let	VERB
ejpam-7057	213	2	(	(	PUNCT
ejpam-7057	213	3	〈	〈	NOUN
ejpam-7057	213	4	aij	aij	PROPN
ejpam-7057	213	5	,	,	PUNCT
ejpam-7057	213	6	a′ij〉)1	a′ij〉)1	PROPN
ejpam-7057	213	7	,	,	PUNCT
ejpam-7057	213	8	(	(	PUNCT
ejpam-7057	213	9	〈	〈	PROPN
ejpam-7057	213	10	aij	aij	PROPN
ejpam-7057	213	11	,	,	PUNCT
ejpam-7057	213	12	a′ij〉)2	a′ij〉)2	PROPN
ejpam-7057	213	13	...	...	PUNCT
ejpam-7057	213	14	,	,	PUNCT
ejpam-7057	213	15	(	(	PUNCT
ejpam-7057	213	16	〈	〈	PROPN
ejpam-7057	213	17	aij	aij	PROPN
ejpam-7057	213	18	,	,	PUNCT
ejpam-7057	213	19	a′ij〉)n	a′ij〉)n	PROPN
ejpam-7057	213	20	∈	∈	PROPN
ejpam-7057	213	21	f	f	X
ejpam-7057	213	22	.	.	PUNCT
ejpam-7057	214	1	for	for	SCONJ
ejpam-7057	214	2	every	every	DET
ejpam-7057	214	3	i	i	PROPN
ejpam-7057	214	4	,	,	PUNCT
ejpam-7057	214	5	j	j	PROPN
ejpam-7057	214	6	,	,	PUNCT
ejpam-7057	214	7	∃	∃	PROPN
ejpam-7057	214	8	i1	i1	PROPN
ejpam-7057	214	9	=	=	PROPN
ejpam-7057	214	10	i	i	PROPN
ejpam-7057	214	11	,	,	PUNCT
ejpam-7057	214	12	i2	i2	PROPN
ejpam-7057	214	13	,	,	PUNCT
ejpam-7057	214	14	...	...	PUNCT
ejpam-7057	214	15	,	,	PUNCT
ejpam-7057	214	16	in	in	ADP
ejpam-7057	214	17	,	,	PUNCT
ejpam-7057	214	18	in+1	in+1	VERB
ejpam-7057	214	19	=	=	SYM
ejpam-7057	214	20	j	j	PROPN
ejpam-7057	214	21	as	as	ADP
ejpam-7057	214	22	[	[	X
ejpam-7057	214	23	(	(	PUNCT
ejpam-7057	214	24	〈	〈	PROPN
ejpam-7057	214	25	aij	aij	PROPN
ejpam-7057	214	26	,	,	PUNCT
ejpam-7057	214	27	a′ij〉)1	a′ij〉)1	PROPN
ejpam-7057	214	28	c	c	NOUN
ejpam-7057	214	29	↽	↽	X
ejpam-7057	214	30	...	...	PUNCT
ejpam-7057	215	1	c	c	NOUN
ejpam-7057	215	2	↽	↽	NOUN
ejpam-7057	215	3	(	(	PUNCT
ejpam-7057	215	4	〈	〈	PROPN
ejpam-7057	215	5	aij	aij	PROPN
ejpam-7057	215	6	,	,	PUNCT
ejpam-7057	215	7	a′ij〉)n]ij	a′ij〉)n]ij	PUNCT
ejpam-7057	215	8	=	=	PUNCT
ejpam-7057	216	1	[	[	X
ejpam-7057	216	2	(	(	PUNCT
ejpam-7057	216	3	〈	〈	NOUN
ejpam-7057	216	4	aij	aij	PROPN
ejpam-7057	216	5	,	,	PUNCT
ejpam-7057	216	6	a′ij〉)1]i1i2	a′ij〉)1]i1i2	PUNCT
ejpam-7057	216	7	∧	∧	NOUN
ejpam-7057	216	8	...	...	PUNCT
ejpam-7057	217	1	∧	∧	NOUN
ejpam-7057	218	1	[	[	X
ejpam-7057	218	2	(	(	PUNCT
ejpam-7057	218	3	〈	〈	PROPN
ejpam-7057	218	4	aij	aij	PROPN
ejpam-7057	218	5	,	,	PUNCT
ejpam-7057	218	6	a′ij〉)n]inin+1	a′ij〉)n]inin+1	ADJ
ejpam-7057	218	7	.	.	PUNCT
ejpam-7057	219	1	since	since	SCONJ
ejpam-7057	219	2	{	{	PUNCT
ejpam-7057	219	3	i1	i1	PROPN
ejpam-7057	219	4	,	,	PUNCT
ejpam-7057	219	5	...	...	PUNCT
ejpam-7057	219	6	,	,	PUNCT
ejpam-7057	219	7	in+1	in+1	NOUN
ejpam-7057	219	8	}	}	PUNCT
ejpam-7057	219	9	⊂	⊂	PROPN
ejpam-7057	219	10	{	{	PUNCT
ejpam-7057	219	11	1	1	NUM
ejpam-7057	219	12	,	,	PUNCT
ejpam-7057	219	13	...	...	PUNCT
ejpam-7057	219	14	,	,	PUNCT
ejpam-7057	219	15	n	n	CCONJ
ejpam-7057	219	16	}	}	PUNCT
ejpam-7057	219	17	,	,	PUNCT
ejpam-7057	219	18	there	there	PRON
ejpam-7057	219	19	are	be	VERB
ejpam-7057	219	20	1	1	NUM
ejpam-7057	219	21	≤	≤	NOUN
ejpam-7057	219	22	r	r	NOUN
ejpam-7057	219	23	<	<	X
ejpam-7057	219	24	s	s	X
ejpam-7057	219	25	≤	≤	NUM
ejpam-7057	219	26	n	n	NOUN
ejpam-7057	219	27	+	+	CCONJ
ejpam-7057	219	28	1	1	NUM
ejpam-7057	219	29	so	so	SCONJ
ejpam-7057	219	30	that	that	SCONJ
ejpam-7057	219	31	ir	ir	PROPN
ejpam-7057	219	32	=	=	PUNCT
ejpam-7057	219	33	is	be	AUX
ejpam-7057	219	34	.	.	PUNCT
ejpam-7057	220	1	as	as	ADP
ejpam-7057	220	2	γ(f	γ(f	PROPN
ejpam-7057	220	3	)	)	PUNCT
ejpam-7057	220	4	contains	contain	VERB
ejpam-7057	220	5	no	no	DET
ejpam-7057	220	6	cycles	cycle	NOUN
ejpam-7057	220	7	,	,	PUNCT
ejpam-7057	220	8	[	[	X
ejpam-7057	220	9	(	(	PUNCT
ejpam-7057	220	10	〈	〈	PROPN
ejpam-7057	220	11	aij	aij	PROPN
ejpam-7057	220	12	,	,	PUNCT
ejpam-7057	220	13	a′ij〉)r]irir+1	a′ij〉)r]irir+1	PROPN
ejpam-7057	220	14	∧	∧	PROPN
ejpam-7057	220	15	...	...	PUNCT
ejpam-7057	221	1	∧	∧	NOUN
ejpam-7057	222	1	[	[	X
ejpam-7057	222	2	(	(	PUNCT
ejpam-7057	222	3	〈	〈	NOUN
ejpam-7057	222	4	aij	aij	PROPN
ejpam-7057	222	5	,	,	PUNCT
ejpam-7057	222	6	a′ij〉)s−1]is	a′ij〉)s−1]is	PROPN
ejpam-7057	222	7	=	=	SYM
ejpam-7057	222	8	〈	〈	PROPN
ejpam-7057	222	9	0	0	NUM
ejpam-7057	222	10	,	,	PUNCT
ejpam-7057	222	11	1	1	NUM
ejpam-7057	222	12	〉	〉	NOUN
ejpam-7057	222	13	hence	hence	ADV
ejpam-7057	222	14	,	,	PUNCT
ejpam-7057	222	15	[	[	X
ejpam-7057	222	16	(	(	PUNCT
ejpam-7057	222	17	〈	〈	PROPN
ejpam-7057	222	18	aij	aij	PROPN
ejpam-7057	222	19	,	,	PUNCT
ejpam-7057	222	20	a′ij〉)1	a′ij〉)1	PROPN
ejpam-7057	222	21	c	c	NOUN
ejpam-7057	222	22	↽	↽	X
ejpam-7057	222	23	...	...	PUNCT
ejpam-7057	222	24	c	c	NOUN
ejpam-7057	222	25	↽	↽	NOUN
ejpam-7057	222	26	(	(	PUNCT
ejpam-7057	222	27	〈	〈	PROPN
ejpam-7057	222	28	aij	aij	PROPN
ejpam-7057	222	29	,	,	PUNCT
ejpam-7057	222	30	a′ij〉)n]ij	a′ij〉)n]ij	PUNCT
ejpam-7057	222	31	=	=	PUNCT
ejpam-7057	223	1	[	[	X
ejpam-7057	223	2	(	(	PUNCT
ejpam-7057	223	3	〈	〈	NOUN
ejpam-7057	223	4	aij	aij	PROPN
ejpam-7057	223	5	,	,	PUNCT
ejpam-7057	223	6	a′ij〉)1]i1i2	a′ij〉)1]i1i2	PUNCT
ejpam-7057	223	7	∧	∧	NOUN
ejpam-7057	223	8	...	...	PUNCT
ejpam-7057	224	1	∧	∧	NOUN
ejpam-7057	225	1	[	[	X
ejpam-7057	225	2	(	(	PUNCT
ejpam-7057	225	3	〈	〈	PROPN
ejpam-7057	225	4	aij	aij	PROPN
ejpam-7057	225	5	,	,	PUNCT
ejpam-7057	225	6	a′ij〉)n]inin+1	a′ij〉)n]inin+1	PROPN
ejpam-7057	225	7	=	=	SYM
ejpam-7057	225	8	〈	〈	PROPN
ejpam-7057	225	9	0	0	NUM
ejpam-7057	225	10	,	,	PUNCT
ejpam-7057	225	11	1	1	NUM
ejpam-7057	225	12	〉	〉	NUM
ejpam-7057	225	13	therefore	therefore	ADV
ejpam-7057	225	14	,	,	PUNCT
ejpam-7057	225	15	fn	fn	NOUN
ejpam-7057	225	16	=	=	SYM
ejpam-7057	225	17	{	{	PUNCT
ejpam-7057	225	18	o	o	NOUN
ejpam-7057	225	19	}	}	PUNCT
ejpam-7057	225	20	.	.	PUNCT
ejpam-7057	226	1	let	let	VERB
ejpam-7057	226	2	f	f	NOUN
ejpam-7057	226	3	=	=	PRON
ejpam-7057	226	4	{	{	PUNCT
ejpam-7057	226	5	(	(	PUNCT
ejpam-7057	226	6	〈	〈	PROPN
ejpam-7057	226	7	aij	aij	PROPN
ejpam-7057	226	8	,	,	PUNCT
ejpam-7057	226	9	a′ij〉)(1	a′ij〉)(1	PROPN
ejpam-7057	226	10	)	)	PUNCT
ejpam-7057	226	11	,	,	PUNCT
ejpam-7057	226	12	(	(	PUNCT
ejpam-7057	227	1	〈	〈	PROPN
ejpam-7057	227	2	aij	aij	PROPN
ejpam-7057	227	3	,	,	PUNCT
ejpam-7057	227	4	a′ij〉)(2)	a′ij〉)(2)	ADP
ejpam-7057	227	5	...	...	PUNCT
ejpam-7057	227	6	(〈aij	(〈aij	PUNCT
ejpam-7057	227	7	,	,	PUNCT
ejpam-7057	227	8	a′ij〉)m	a′ij〉)m	PROPN
ejpam-7057	227	9	}	}	PUNCT
ejpam-7057	227	10	⊂	⊂	PROPN
ejpam-7057	228	1	fn	fn	NOUN
ejpam-7057	228	2	.	.	PUNCT
ejpam-7057	229	1	it	it	PRON
ejpam-7057	229	2	is	be	AUX
ejpam-7057	229	3	clear	clear	ADJ
ejpam-7057	229	4	γ(f	γ(f	PROPN
ejpam-7057	229	5	)	)	PUNCT
ejpam-7057	229	6	consists	consist	VERB
ejpam-7057	229	7	a	a	DET
ejpam-7057	229	8	directed	direct	VERB
ejpam-7057	229	9	path	path	NOUN
ejpam-7057	229	10	having	have	VERB
ejpam-7057	229	11	length	length	NOUN
ejpam-7057	229	12	k	k	PROPN
ejpam-7057	229	13	iff	iff	PROPN
ejpam-7057	229	14	there	there	PRON
ejpam-7057	229	15	is	be	VERB
ejpam-7057	229	16	(	(	PUNCT
ejpam-7057	229	17	〈	〈	PROPN
ejpam-7057	229	18	aij	aij	PROPN
ejpam-7057	229	19	,	,	PUNCT
ejpam-7057	229	20	a′ij〉)i1	a′ij〉)i1	ADV
ejpam-7057	229	21	,	,	PUNCT
ejpam-7057	229	22	(	(	PUNCT
ejpam-7057	229	23	〈	〈	PROPN
ejpam-7057	229	24	aij	aij	PROPN
ejpam-7057	229	25	,	,	PUNCT
ejpam-7057	229	26	a′ij〉)i2	a′ij〉)i2	NOUN
ejpam-7057	229	27	,	,	PUNCT
ejpam-7057	229	28	...	...	PUNCT
ejpam-7057	229	29	,	,	PUNCT
ejpam-7057	229	30	(	(	PUNCT
ejpam-7057	229	31	〈	〈	PROPN
ejpam-7057	229	32	aij	aij	PROPN
ejpam-7057	229	33	,	,	PUNCT
ejpam-7057	229	34	a′ij〉)ik	a′ij〉)ik	PROPN
ejpam-7057	229	35	∈	∈	PROPN
ejpam-7057	229	36	f	f	NOUN
ejpam-7057	230	1	so	so	SCONJ
ejpam-7057	230	2	that	that	PRON
ejpam-7057	230	3	(	(	PUNCT
ejpam-7057	230	4	〈	〈	NOUN
ejpam-7057	230	5	aij	aij	PROPN
ejpam-7057	230	6	,	,	PUNCT
ejpam-7057	230	7	a′ij〉)i1	a′ij〉)i1	ADP
ejpam-7057	230	8	c	c	NOUN
ejpam-7057	230	9	↽	↽	X
ejpam-7057	230	10	(	(	PUNCT
ejpam-7057	230	11	〈	〈	PROPN
ejpam-7057	230	12	aij	aij	PROPN
ejpam-7057	230	13	,	,	PUNCT
ejpam-7057	230	14	a′ij〉)i2	a′ij〉)i2	NOUN
ejpam-7057	230	15	,	,	PUNCT
ejpam-7057	230	16	...	...	PUNCT
ejpam-7057	230	17	c	c	PROPN
ejpam-7057	230	18	↽	↽	PROPN
ejpam-7057	230	19	aik	aik	PROPN
ejpam-7057	230	20	6=	6=	PUNCT
ejpam-7057	231	1	〈	〈	PROPN
ejpam-7057	231	2	0	0	NUM
ejpam-7057	231	3	,	,	PUNCT
ejpam-7057	231	4	1	1	NUM
ejpam-7057	231	5	〉	〉	NUM
ejpam-7057	231	6	.	.	PUNCT
ejpam-7057	232	1	thus	thus	ADV
ejpam-7057	232	2	,	,	PUNCT
ejpam-7057	232	3	develop	develop	VERB
ejpam-7057	232	4	the	the	DET
ejpam-7057	232	5	theorem	theorem	NOUN
ejpam-7057	232	6	to	to	PART
ejpam-7057	232	7	find	find	VERB
ejpam-7057	232	8	the	the	DET
ejpam-7057	232	9	index	index	NOUN
ejpam-7057	232	10	h(f	h(f	PROPN
ejpam-7057	232	11	)	)	PUNCT
ejpam-7057	232	12	of	of	ADP
ejpam-7057	232	13	f	f	PROPN
ejpam-7057	232	14	,	,	PUNCT
ejpam-7057	232	15	where	where	SCONJ
ejpam-7057	232	16	h(f	h(f	NOUN
ejpam-7057	232	17	)	)	PUNCT
ejpam-7057	232	18	is	be	AUX
ejpam-7057	232	19	the	the	DET
ejpam-7057	232	20	least	least	ADV
ejpam-7057	232	21	positive	positive	ADJ
ejpam-7057	232	22	integer	integer	NOUN
ejpam-7057	232	23	k	k	NOUN
ejpam-7057	232	24	so	so	SCONJ
ejpam-7057	232	25	that	that	SCONJ
ejpam-7057	232	26	h(fn	h(fn	NOUN
ejpam-7057	232	27	)	)	PUNCT
ejpam-7057	232	28	=	=	PRON
ejpam-7057	232	29	{	{	PUNCT
ejpam-7057	232	30	o	o	NOUN
ejpam-7057	232	31	}	}	PUNCT
ejpam-7057	232	32	.	.	PUNCT
ejpam-7057	233	1	and	and	CCONJ
ejpam-7057	233	2	if	if	SCONJ
ejpam-7057	233	3	h(f	h(f	NUM
ejpam-7057	233	4	)	)	PUNCT
ejpam-7057	234	1	=	=	PRON
ejpam-7057	234	2	{	{	PUNCT
ejpam-7057	234	3	a	a	NOUN
ejpam-7057	234	4	}	}	PUNCT
ejpam-7057	234	5	,	,	PUNCT
ejpam-7057	234	6	then	then	ADV
ejpam-7057	234	7	h(f	h(f	PROPN
ejpam-7057	234	8	)	)	PUNCT
ejpam-7057	234	9	is	be	AUX
ejpam-7057	234	10	denoted	denote	VERB
ejpam-7057	234	11	by	by	ADP
ejpam-7057	234	12	h((〈aij	h((〈aij	NOUN
ejpam-7057	234	13	,	,	PUNCT
ejpam-7057	234	14	a′ij	a′ij	VERB
ejpam-7057	234	15	〉	〉	PROPN
ejpam-7057	234	16	)	)	PUNCT
ejpam-7057	234	17	)	)	PUNCT
ejpam-7057	234	18	.	.	PUNCT
ejpam-7057	235	1	theorem	theorem	ADJ
ejpam-7057	235	2	4	4	NUM
ejpam-7057	235	3	.	.	PUNCT
ejpam-7057	236	1	let	let	VERB
ejpam-7057	236	2	f	f	PROPN
ejpam-7057	236	3	=	=	PRON
ejpam-7057	236	4	{	{	PUNCT
ejpam-7057	236	5	(	(	PUNCT
ejpam-7057	236	6	〈	〈	PROPN
ejpam-7057	236	7	aij	aij	PROPN
ejpam-7057	236	8	,	,	PUNCT
ejpam-7057	236	9	a′ij〉)(1	a′ij〉)(1	PROPN
ejpam-7057	236	10	)	)	PUNCT
ejpam-7057	236	11	,	,	PUNCT
ejpam-7057	236	12	(	(	PUNCT
ejpam-7057	236	13	〈	〈	PROPN
ejpam-7057	236	14	aij	aij	PROPN
ejpam-7057	236	15	,	,	PUNCT
ejpam-7057	236	16	a′ij〉)(2	a′ij〉)(2	NOUN
ejpam-7057	236	17	)	)	PUNCT
ejpam-7057	236	18	,	,	PUNCT
ejpam-7057	236	19	...	...	PUNCT
ejpam-7057	236	20	,	,	PUNCT
ejpam-7057	236	21	(	(	PUNCT
ejpam-7057	236	22	〈	〈	PROPN
ejpam-7057	236	23	aij	aij	PROPN
ejpam-7057	236	24	,	,	PUNCT
ejpam-7057	236	25	a′ij〉)(m	a′ij〉)(m	ADJ
ejpam-7057	236	26	)	)	PUNCT
ejpam-7057	236	27	}	}	PUNCT
ejpam-7057	237	1	⊂	⊂	PRON
ejpam-7057	237	2	fn	fn	AUX
ejpam-7057	237	3	be	be	AUX
ejpam-7057	237	4	a	a	DET
ejpam-7057	237	5	simultaneously	simultaneously	ADV
ejpam-7057	237	6	nilpotent	nilpotent	ADJ
ejpam-7057	237	7	set	set	NOUN
ejpam-7057	237	8	.	.	PUNCT
ejpam-7057	238	1	then	then	ADV
ejpam-7057	238	2	h(fk	h(fk	NOUN
ejpam-7057	238	3	)	)	PUNCT
ejpam-7057	238	4	=	=	SYM
ejpam-7057	238	5	k	k	PROPN
ejpam-7057	238	6	≥	≥	NUM
ejpam-7057	238	7	2	2	NUM
ejpam-7057	238	8	iff	iff	VERB
ejpam-7057	238	9	the	the	DET
ejpam-7057	238	10	digraph	digraph	NOUN
ejpam-7057	238	11	γ(f	γ(f	PROPN
ejpam-7057	238	12	)	)	PUNCT
ejpam-7057	238	13	contains	contain	VERB
ejpam-7057	238	14	directed	direct	VERB
ejpam-7057	238	15	paths	path	NOUN
ejpam-7057	238	16	having	have	VERB
ejpam-7057	238	17	k	k	NOUN
ejpam-7057	238	18	−	−	NUM
ejpam-7057	238	19	1	1	NUM
ejpam-7057	238	20	length	length	NOUN
ejpam-7057	238	21	,	,	PUNCT
ejpam-7057	238	22	but	but	CCONJ
ejpam-7057	238	23	none	none	NOUN
ejpam-7057	238	24	of	of	ADP
ejpam-7057	238	25	the	the	DET
ejpam-7057	238	26	directed	direct	VERB
ejpam-7057	238	27	paths	path	NOUN
ejpam-7057	238	28	having	have	VERB
ejpam-7057	238	29	k	k	PROPN
ejpam-7057	238	30	lengths	length	NOUN
ejpam-7057	238	31	.	.	PUNCT
ejpam-7057	239	1	proof	proof	NOUN
ejpam-7057	239	2	.	.	PUNCT
ejpam-7057	240	1	assume	assume	VERB
ejpam-7057	240	2	γ(f	γ(f	PROPN
ejpam-7057	240	3	)	)	PUNCT
ejpam-7057	240	4	consists	consist	VERB
ejpam-7057	240	5	directed	direct	VERB
ejpam-7057	240	6	paths	path	NOUN
ejpam-7057	240	7	of	of	ADP
ejpam-7057	240	8	k	k	NOUN
ejpam-7057	240	9	−	−	PROPN
ejpam-7057	240	10	1	1	NUM
ejpam-7057	240	11	length	length	NOUN
ejpam-7057	240	12	and	and	CCONJ
ejpam-7057	240	13	no	no	DET
ejpam-7057	240	14	directed	direct	VERB
ejpam-7057	240	15	path	path	NOUN
ejpam-7057	240	16	of	of	ADP
ejpam-7057	240	17	k	k	PROPN
ejpam-7057	240	18	length	length	NOUN
ejpam-7057	240	19	.	.	PUNCT
ejpam-7057	241	1	by	by	ADP
ejpam-7057	241	2	definition	definition	NOUN
ejpam-7057	241	3	of	of	ADP
ejpam-7057	241	4	adjacency	adjacency	NOUN
ejpam-7057	241	5	matrix	matrix	NOUN
ejpam-7057	241	6	of	of	ADP
ejpam-7057	241	7	γ(f	γ(f	PROPN
ejpam-7057	241	8	)	)	PUNCT
ejpam-7057	241	9	,	,	PUNCT
ejpam-7057	241	10	the	the	DET
ejpam-7057	241	11	ijth	ijth	PROPN
ejpam-7057	241	12	entry	entry	NOUN
ejpam-7057	241	13	of	of	ADP
ejpam-7057	241	14	al	al	PROPN
ejpam-7057	241	15	denotes	denote	VERB
ejpam-7057	241	16	the	the	DET
ejpam-7057	241	17	number	number	NOUN
ejpam-7057	241	18	of	of	ADP
ejpam-7057	241	19	directed	direct	VERB
ejpam-7057	241	20	paths	path	NOUN
ejpam-7057	241	21	of	of	ADP
ejpam-7057	241	22	length	length	NOUN
ejpam-7057	241	23	l	l	NOUN
ejpam-7057	241	24	from	from	ADP
ejpam-7057	241	25	vi	vi	PROPN
ejpam-7057	241	26	to	to	ADP
ejpam-7057	241	27	vj	vj	PROPN
ejpam-7057	241	28	.	.	PUNCT
ejpam-7057	242	1	thus	thus	ADV
ejpam-7057	242	2	,	,	PUNCT
ejpam-7057	242	3	if	if	SCONJ
ejpam-7057	242	4	there	there	PRON
ejpam-7057	242	5	is	be	VERB
ejpam-7057	242	6	a	a	DET
ejpam-7057	242	7	directed	direct	VERB
ejpam-7057	242	8	path	path	NOUN
ejpam-7057	242	9	of	of	ADP
ejpam-7057	242	10	length	length	NOUN
ejpam-7057	242	11	≤	≤	PUNCT
ejpam-7057	243	1	k	k	NOUN
ejpam-7057	244	1	−	−	PROPN
ejpam-7057	244	2	1	1	NUM
ejpam-7057	244	3	,	,	PUNCT
ejpam-7057	244	4	then	then	ADV
ejpam-7057	244	5	at	at	ADP
ejpam-7057	244	6	6=	6=	ADP
ejpam-7057	244	7	〈	〈	PROPN
ejpam-7057	244	8	0	0	NUM
ejpam-7057	244	9	,	,	PUNCT
ejpam-7057	244	10	1	1	NUM
ejpam-7057	244	11	〉	〉	NUM
ejpam-7057	244	12	,	,	PUNCT
ejpam-7057	244	13	for	for	ADP
ejpam-7057	244	14	1	1	NUM
ejpam-7057	244	15	≤	≤	NUM
ejpam-7057	244	16	t	t	NOUN
ejpam-7057	244	17	≤	≤	NUM
ejpam-7057	244	18	k	k	NOUN
ejpam-7057	245	1	−	−	PROPN
ejpam-7057	245	2	1	1	NUM
ejpam-7057	246	1	and	and	CCONJ
ejpam-7057	246	2	since	since	SCONJ
ejpam-7057	246	3	there	there	PRON
ejpam-7057	246	4	is	be	VERB
ejpam-7057	246	5	no	no	DET
ejpam-7057	246	6	directed	direct	VERB
ejpam-7057	246	7	path	path	NOUN
ejpam-7057	246	8	of	of	ADP
ejpam-7057	246	9	length	length	NOUN
ejpam-7057	246	10	k	k	PROPN
ejpam-7057	246	11	,	,	PUNCT
ejpam-7057	246	12	so	so	ADV
ejpam-7057	246	13	at	at	ADP
ejpam-7057	246	14	6=	6=	ADP
ejpam-7057	246	15	〈	〈	PROPN
ejpam-7057	246	16	0	0	NUM
ejpam-7057	246	17	,	,	PUNCT
ejpam-7057	246	18	1	1	NUM
ejpam-7057	246	19	〉	〉	NUM
ejpam-7057	246	20	then	then	ADV
ejpam-7057	246	21	γ(f	γ(f	PROPN
ejpam-7057	246	22	)	)	PUNCT
ejpam-7057	246	23	=	=	PUNCT
ejpam-7057	246	24	k.	k.	PROPN
ejpam-7057	246	25	converse	converse	PROPN
ejpam-7057	246	26	follows	follow	VERB
ejpam-7057	246	27	by	by	ADP
ejpam-7057	246	28	following	follow	VERB
ejpam-7057	246	29	the	the	DET
ejpam-7057	246	30	above	above	ADJ
ejpam-7057	246	31	steps	step	NOUN
ejpam-7057	246	32	in	in	ADP
ejpam-7057	246	33	reverse	reverse	ADJ
ejpam-7057	246	34	order	order	NOUN
ejpam-7057	246	35	.	.	PUNCT
ejpam-7057	247	1	s.	s.	PROPN
ejpam-7057	247	2	aljohani	aljohani	PROPN
ejpam-7057	247	3	,	,	PUNCT
ejpam-7057	247	4	r.	r.	PROPN
ejpam-7057	247	5	a.	a.	NOUN
ejpam-7057	247	6	padder	padder	PROPN
ejpam-7057	247	7	,	,	PUNCT
ejpam-7057	247	8	p.	p.	PROPN
ejpam-7057	247	9	devshali	devshali	PROPN
ejpam-7057	247	10	/	/	SYM
ejpam-7057	247	11	eur	eur	PROPN
ejpam-7057	247	12	.	.	PUNCT
ejpam-7057	248	1	j.	j.	PROPN
ejpam-7057	248	2	pure	pure	PROPN
ejpam-7057	248	3	appl	appl	PROPN
ejpam-7057	248	4	.	.	PROPN
ejpam-7057	248	5	math	math	PROPN
ejpam-7057	248	6	,	,	PUNCT
ejpam-7057	248	7	18	18	NUM
ejpam-7057	248	8	(	(	PUNCT
ejpam-7057	248	9	4	4	NUM
ejpam-7057	248	10	)	)	PUNCT
ejpam-7057	248	11	(	(	PUNCT
ejpam-7057	248	12	2025	2025	NUM
ejpam-7057	248	13	)	)	PUNCT
ejpam-7057	248	14	,	,	PUNCT
ejpam-7057	248	15	7057	7057	NUM
ejpam-7057	248	16	7	7	NUM
ejpam-7057	248	17	of	of	ADP
ejpam-7057	248	18	11	11	NUM
ejpam-7057	248	19	example	example	NOUN
ejpam-7057	248	20	2	2	NUM
ejpam-7057	248	21	.	.	X
ejpam-7057	249	1	let	let	VERB
ejpam-7057	249	2	b(1	b(1	PROPN
ejpam-7057	249	3	)	)	PUNCT
ejpam-7057	249	4	=	=	PUNCT
ejpam-7057	250	1	(	(	PUNCT
ejpam-7057	250	2	〈	〈	PROPN
ejpam-7057	250	3	bij	bij	NOUN
ejpam-7057	250	4	,	,	PUNCT
ejpam-7057	250	5	b	b	PROPN
ejpam-7057	250	6	′	′	NUM
ejpam-7057	250	7	ij〉)(1	ij〉)(1	NOUN
ejpam-7057	250	8	)	)	PUNCT
ejpam-7057	251	1	=	=	X
ejpam-7057	251	2			NOUN
ejpam-7057	251	3	v1	v1	PROPN
ejpam-7057	251	4	v2	v2	PROPN
ejpam-7057	251	5	v3	v3	PROPN
ejpam-7057	251	6	v4	v4	PROPN
ejpam-7057	251	7	v5	v5	PROPN
ejpam-7057	251	8	v1	v1	PROPN
ejpam-7057	251	9	〈	〈	PROPN
ejpam-7057	251	10	0	0	NUM
ejpam-7057	251	11	,	,	PUNCT
ejpam-7057	251	12	1	1	NUM
ejpam-7057	251	13	〉	〉	NUM
ejpam-7057	251	14	〈	〈	PROPN
ejpam-7057	251	15	0.1	0.1	NUM
ejpam-7057	251	16	,	,	PUNCT
ejpam-7057	251	17	0.9	0.9	NUM
ejpam-7057	251	18	〉	〉	NUM
ejpam-7057	251	19	〈	〈	PROPN
ejpam-7057	251	20	0	0	NUM
ejpam-7057	251	21	,	,	PUNCT
ejpam-7057	251	22	1	1	NUM
ejpam-7057	251	23	〉	〉	NUM
ejpam-7057	251	24	〈	〈	PROPN
ejpam-7057	251	25	0	0	NUM
ejpam-7057	251	26	,	,	PUNCT
ejpam-7057	251	27	1	1	NUM
ejpam-7057	251	28	〉	〉	NUM
ejpam-7057	251	29	〈	〈	PROPN
ejpam-7057	251	30	0	0	NUM
ejpam-7057	251	31	,	,	PUNCT
ejpam-7057	251	32	1	1	NUM
ejpam-7057	251	33	〉	〉	NUM
ejpam-7057	251	34	v2	v2	NOUN
ejpam-7057	251	35	〈	〈	PROPN
ejpam-7057	251	36	0	0	NUM
ejpam-7057	251	37	,	,	PUNCT
ejpam-7057	251	38	1	1	NUM
ejpam-7057	251	39	〉	〉	NUM
ejpam-7057	251	40	〈	〈	PROPN
ejpam-7057	251	41	0	0	NUM
ejpam-7057	251	42	,	,	PUNCT
ejpam-7057	251	43	1	1	NUM
ejpam-7057	251	44	〉	〉	NUM
ejpam-7057	251	45	〈	〈	PROPN
ejpam-7057	251	46	0.1	0.1	NUM
ejpam-7057	251	47	,	,	PUNCT
ejpam-7057	251	48	0.9	0.9	NUM
ejpam-7057	251	49	〉	〉	NUM
ejpam-7057	251	50	〈	〈	PROPN
ejpam-7057	251	51	0	0	NUM
ejpam-7057	251	52	,	,	PUNCT
ejpam-7057	251	53	1	1	NUM
ejpam-7057	251	54	〉	〉	NUM
ejpam-7057	251	55	〈	〈	PROPN
ejpam-7057	251	56	0	0	NUM
ejpam-7057	251	57	,	,	PUNCT
ejpam-7057	251	58	1	1	NUM
ejpam-7057	251	59	〉	〉	NUM
ejpam-7057	251	60	v3	v3	PROPN
ejpam-7057	251	61	〈	〈	PROPN
ejpam-7057	251	62	0	0	PROPN
ejpam-7057	251	63	,	,	PUNCT
ejpam-7057	251	64	1	1	NUM
ejpam-7057	251	65	〉	〉	NUM
ejpam-7057	251	66	〈	〈	PROPN
ejpam-7057	251	67	0	0	NUM
ejpam-7057	251	68	,	,	PUNCT
ejpam-7057	251	69	1	1	NUM
ejpam-7057	251	70	〉	〉	NUM
ejpam-7057	251	71	〈	〈	PROPN
ejpam-7057	251	72	0	0	NUM
ejpam-7057	251	73	,	,	PUNCT
ejpam-7057	251	74	1	1	NUM
ejpam-7057	251	75	〉	〉	NUM
ejpam-7057	251	76	〈	〈	PROPN
ejpam-7057	251	77	0.1	0.1	NUM
ejpam-7057	251	78	,	,	PUNCT
ejpam-7057	251	79	0.9	0.9	NUM
ejpam-7057	251	80	〉	〉	NUM
ejpam-7057	251	81	〈	〈	PROPN
ejpam-7057	251	82	0	0	NUM
ejpam-7057	251	83	,	,	PUNCT
ejpam-7057	251	84	1	1	NUM
ejpam-7057	251	85	〉	〉	NUM
ejpam-7057	251	86	v4	v4	NOUN
ejpam-7057	251	87	〈	〈	PROPN
ejpam-7057	251	88	0	0	NUM
ejpam-7057	251	89	,	,	PUNCT
ejpam-7057	251	90	1	1	NUM
ejpam-7057	251	91	〉	〉	NUM
ejpam-7057	251	92	〈	〈	PROPN
ejpam-7057	251	93	0	0	NUM
ejpam-7057	251	94	,	,	PUNCT
ejpam-7057	251	95	1	1	NUM
ejpam-7057	251	96	〉	〉	NUM
ejpam-7057	251	97	〈	〈	PROPN
ejpam-7057	251	98	0	0	NUM
ejpam-7057	251	99	,	,	PUNCT
ejpam-7057	251	100	1	1	NUM
ejpam-7057	251	101	〉	〉	NUM
ejpam-7057	251	102	〈	〈	PROPN
ejpam-7057	251	103	0	0	NUM
ejpam-7057	251	104	,	,	PUNCT
ejpam-7057	251	105	1	1	NUM
ejpam-7057	251	106	〉	〉	NUM
ejpam-7057	251	107	〈	〈	PROPN
ejpam-7057	251	108	0	0	NUM
ejpam-7057	251	109	,	,	PUNCT
ejpam-7057	251	110	1	1	NUM
ejpam-7057	251	111	〉	〉	NUM
ejpam-7057	251	112	v5	v5	PROPN
ejpam-7057	251	113	〈	〈	PROPN
ejpam-7057	251	114	0	0	NUM
ejpam-7057	251	115	,	,	PUNCT
ejpam-7057	251	116	1	1	NUM
ejpam-7057	251	117	〉	〉	NUM
ejpam-7057	251	118	〈	〈	PROPN
ejpam-7057	251	119	0	0	NUM
ejpam-7057	251	120	,	,	PUNCT
ejpam-7057	251	121	1	1	NUM
ejpam-7057	251	122	〉	〉	NUM
ejpam-7057	251	123	〈	〈	PROPN
ejpam-7057	251	124	0	0	NUM
ejpam-7057	251	125	,	,	PUNCT
ejpam-7057	251	126	1	1	NUM
ejpam-7057	251	127	〉	〉	NUM
ejpam-7057	251	128	〈	〈	PROPN
ejpam-7057	251	129	0	0	NUM
ejpam-7057	251	130	,	,	PUNCT
ejpam-7057	251	131	1	1	NUM
ejpam-7057	251	132	〉	〉	NUM
ejpam-7057	251	133	〈	〈	PROPN
ejpam-7057	251	134	0.1	0.1	NUM
ejpam-7057	251	135	,	,	PUNCT
ejpam-7057	251	136	0.9	0.9	NUM
ejpam-7057	251	137	〉	〉	NUM
ejpam-7057	251	138			NOUN
ejpam-7057	251	139	b(2	b(2	NOUN
ejpam-7057	251	140	)	)	PUNCT
ejpam-7057	251	141	=	=	PRON
ejpam-7057	252	1	(	(	PUNCT
ejpam-7057	252	2	〈	〈	PROPN
ejpam-7057	252	3	bij	bij	NOUN
ejpam-7057	252	4	,	,	PUNCT
ejpam-7057	252	5	b	b	NOUN
ejpam-7057	252	6	′	′	NUM
ejpam-7057	252	7	ij〉)(2	ij〉)(2	NOUN
ejpam-7057	252	8	)	)	PUNCT
ejpam-7057	253	1	=	=	SYM
ejpam-7057	253	2			NOUN
ejpam-7057	253	3	v1	v1	PROPN
ejpam-7057	253	4	v2	v2	PROPN
ejpam-7057	253	5	v3	v3	PROPN
ejpam-7057	253	6	v4	v4	PROPN
ejpam-7057	253	7	v5	v5	PROPN
ejpam-7057	253	8	v1	v1	PROPN
ejpam-7057	253	9	〈	〈	PROPN
ejpam-7057	253	10	0	0	NUM
ejpam-7057	253	11	,	,	PUNCT
ejpam-7057	253	12	1	1	NUM
ejpam-7057	253	13	〉	〉	NUM
ejpam-7057	253	14	〈	〈	PROPN
ejpam-7057	253	15	0	0	NUM
ejpam-7057	253	16	,	,	PUNCT
ejpam-7057	253	17	1	1	NUM
ejpam-7057	253	18	〉	〉	NUM
ejpam-7057	253	19	〈	〈	NOUN
ejpam-7057	253	20	0.01	0.01	NUM
ejpam-7057	253	21	,	,	PUNCT
ejpam-7057	253	22	0.99	0.99	NUM
ejpam-7057	253	23	〉	〉	NUM
ejpam-7057	253	24	〈	〈	PROPN
ejpam-7057	253	25	0	0	NUM
ejpam-7057	253	26	,	,	PUNCT
ejpam-7057	253	27	1	1	NUM
ejpam-7057	253	28	〉	〉	NUM
ejpam-7057	253	29	〈	〈	PROPN
ejpam-7057	253	30	0	0	NUM
ejpam-7057	253	31	,	,	PUNCT
ejpam-7057	253	32	1	1	NUM
ejpam-7057	253	33	〉	〉	NUM
ejpam-7057	253	34	v2	v2	NOUN
ejpam-7057	253	35	〈	〈	PROPN
ejpam-7057	253	36	0	0	NUM
ejpam-7057	253	37	,	,	PUNCT
ejpam-7057	253	38	1	1	NUM
ejpam-7057	253	39	〉	〉	NUM
ejpam-7057	253	40	〈	〈	PROPN
ejpam-7057	253	41	0	0	NUM
ejpam-7057	253	42	,	,	PUNCT
ejpam-7057	253	43	1	1	NUM
ejpam-7057	253	44	〉	〉	NUM
ejpam-7057	253	45	〈	〈	PROPN
ejpam-7057	253	46	0	0	NUM
ejpam-7057	253	47	,	,	PUNCT
ejpam-7057	253	48	1	1	NUM
ejpam-7057	253	49	〉	〉	NUM
ejpam-7057	253	50	〈	〈	NOUN
ejpam-7057	253	51	0.01	0.01	NUM
ejpam-7057	253	52	,	,	PUNCT
ejpam-7057	253	53	0.99	0.99	NUM
ejpam-7057	253	54	〉	〉	NUM
ejpam-7057	253	55	〈	〈	PROPN
ejpam-7057	253	56	0	0	NUM
ejpam-7057	253	57	,	,	PUNCT
ejpam-7057	253	58	1	1	NUM
ejpam-7057	253	59	〉	〉	NUM
ejpam-7057	253	60	v3	v3	PROPN
ejpam-7057	253	61	〈	〈	PROPN
ejpam-7057	253	62	0	0	PROPN
ejpam-7057	253	63	,	,	PUNCT
ejpam-7057	253	64	1	1	NUM
ejpam-7057	253	65	〉	〉	NUM
ejpam-7057	253	66	〈	〈	PROPN
ejpam-7057	253	67	0	0	NUM
ejpam-7057	253	68	,	,	PUNCT
ejpam-7057	253	69	1	1	NUM
ejpam-7057	253	70	〉	〉	NUM
ejpam-7057	253	71	〈	〈	PROPN
ejpam-7057	253	72	0	0	NUM
ejpam-7057	253	73	,	,	PUNCT
ejpam-7057	253	74	1	1	NUM
ejpam-7057	253	75	〉	〉	NUM
ejpam-7057	253	76	〈	〈	PROPN
ejpam-7057	253	77	0	0	NUM
ejpam-7057	253	78	,	,	PUNCT
ejpam-7057	253	79	1	1	NUM
ejpam-7057	253	80	〉	〉	NUM
ejpam-7057	253	81	〈	〈	NOUN
ejpam-7057	253	82	0.01	0.01	NUM
ejpam-7057	253	83	,	,	PUNCT
ejpam-7057	253	84	0.99	0.99	NUM
ejpam-7057	253	85	〉	〉	NUM
ejpam-7057	253	86	v4	v4	NOUN
ejpam-7057	253	87	〈	〈	PROPN
ejpam-7057	253	88	0	0	NUM
ejpam-7057	253	89	,	,	PUNCT
ejpam-7057	253	90	1	1	NUM
ejpam-7057	253	91	〉	〉	NUM
ejpam-7057	253	92	〈	〈	PROPN
ejpam-7057	253	93	0	0	NUM
ejpam-7057	253	94	,	,	PUNCT
ejpam-7057	253	95	1	1	NUM
ejpam-7057	253	96	〉	〉	NUM
ejpam-7057	253	97	〈	〈	PROPN
ejpam-7057	253	98	0	0	NUM
ejpam-7057	253	99	,	,	PUNCT
ejpam-7057	253	100	1	1	NUM
ejpam-7057	253	101	〉	〉	NUM
ejpam-7057	253	102	〈	〈	PROPN
ejpam-7057	253	103	0	0	NUM
ejpam-7057	253	104	,	,	PUNCT
ejpam-7057	253	105	1	1	NUM
ejpam-7057	253	106	〉	〉	NUM
ejpam-7057	253	107	〈	〈	PROPN
ejpam-7057	253	108	0	0	NUM
ejpam-7057	253	109	,	,	PUNCT
ejpam-7057	253	110	1	1	NUM
ejpam-7057	253	111	〉	〉	NUM
ejpam-7057	253	112	v5	v5	PROPN
ejpam-7057	253	113	〈	〈	PROPN
ejpam-7057	253	114	0	0	NUM
ejpam-7057	253	115	,	,	PUNCT
ejpam-7057	253	116	1	1	NUM
ejpam-7057	253	117	〉	〉	NUM
ejpam-7057	253	118	〈	〈	PROPN
ejpam-7057	253	119	0	0	NUM
ejpam-7057	253	120	,	,	PUNCT
ejpam-7057	253	121	1	1	NUM
ejpam-7057	253	122	〉	〉	NUM
ejpam-7057	253	123	〈	〈	PROPN
ejpam-7057	253	124	0	0	NUM
ejpam-7057	253	125	,	,	PUNCT
ejpam-7057	253	126	1	1	NUM
ejpam-7057	253	127	〉	〉	NUM
ejpam-7057	253	128	〈	〈	PROPN
ejpam-7057	253	129	0	0	NUM
ejpam-7057	253	130	,	,	PUNCT
ejpam-7057	253	131	1	1	NUM
ejpam-7057	253	132	〉	〉	NUM
ejpam-7057	253	133	〈	〈	PROPN
ejpam-7057	253	134	0	0	NUM
ejpam-7057	253	135	,	,	PUNCT
ejpam-7057	253	136	1	1	NUM
ejpam-7057	253	137	〉	〉	NUM
ejpam-7057	253	138			NOUN
ejpam-7057	253	139	b(3	b(3	NOUN
ejpam-7057	253	140	)	)	PUNCT
ejpam-7057	254	1	=	=	PRON
ejpam-7057	254	2	(	(	PUNCT
ejpam-7057	254	3	〈	〈	PROPN
ejpam-7057	254	4	bij	bij	NOUN
ejpam-7057	254	5	,	,	PUNCT
ejpam-7057	254	6	b	b	NOUN
ejpam-7057	254	7	′	′	NUM
ejpam-7057	254	8	ij〉)(3	ij〉)(3	NOUN
ejpam-7057	254	9	)	)	PUNCT
ejpam-7057	255	1	=	=	NOUN
ejpam-7057	255	2			NOUN
ejpam-7057	255	3	v1	v1	PROPN
ejpam-7057	255	4	v2	v2	PROPN
ejpam-7057	255	5	v3	v3	PROPN
ejpam-7057	255	6	v4	v4	PROPN
ejpam-7057	255	7	v5	v5	PROPN
ejpam-7057	255	8	v1	v1	PROPN
ejpam-7057	255	9	〈	〈	PROPN
ejpam-7057	255	10	0	0	NUM
ejpam-7057	255	11	,	,	PUNCT
ejpam-7057	255	12	1	1	NUM
ejpam-7057	255	13	〉	〉	NUM
ejpam-7057	255	14	〈	〈	PROPN
ejpam-7057	255	15	0	0	NUM
ejpam-7057	255	16	,	,	PUNCT
ejpam-7057	255	17	1	1	NUM
ejpam-7057	255	18	〉	〉	NUM
ejpam-7057	255	19	〈	〈	PROPN
ejpam-7057	255	20	0	0	NUM
ejpam-7057	255	21	,	,	PUNCT
ejpam-7057	255	22	1	1	NUM
ejpam-7057	255	23	〉	〉	NUM
ejpam-7057	255	24	〈	〈	NOUN
ejpam-7057	255	25	0.01	0.01	NUM
ejpam-7057	255	26	,	,	PUNCT
ejpam-7057	255	27	0.99	0.99	NUM
ejpam-7057	255	28	〉	〉	NUM
ejpam-7057	255	29	〈	〈	PROPN
ejpam-7057	255	30	0	0	NUM
ejpam-7057	255	31	,	,	PUNCT
ejpam-7057	255	32	1	1	NUM
ejpam-7057	255	33	〉	〉	NUM
ejpam-7057	255	34	v2	v2	NOUN
ejpam-7057	255	35	〈	〈	PROPN
ejpam-7057	255	36	0	0	NUM
ejpam-7057	255	37	,	,	PUNCT
ejpam-7057	255	38	1	1	NUM
ejpam-7057	255	39	〉	〉	NUM
ejpam-7057	255	40	〈	〈	PROPN
ejpam-7057	255	41	0	0	NUM
ejpam-7057	255	42	,	,	PUNCT
ejpam-7057	255	43	1	1	NUM
ejpam-7057	255	44	〉	〉	NUM
ejpam-7057	255	45	〈	〈	PROPN
ejpam-7057	255	46	0	0	NUM
ejpam-7057	255	47	,	,	PUNCT
ejpam-7057	255	48	1	1	NUM
ejpam-7057	255	49	〉	〉	NUM
ejpam-7057	255	50	〈	〈	PROPN
ejpam-7057	255	51	0	0	NUM
ejpam-7057	255	52	,	,	PUNCT
ejpam-7057	255	53	1	1	NUM
ejpam-7057	255	54	〉	〉	NUM
ejpam-7057	255	55	〈	〈	NOUN
ejpam-7057	255	56	0.01	0.01	NUM
ejpam-7057	255	57	,	,	PUNCT
ejpam-7057	255	58	0.99	0.99	NUM
ejpam-7057	255	59	〉	〉	NUM
ejpam-7057	255	60	v3	v3	PROPN
ejpam-7057	255	61	〈	〈	PROPN
ejpam-7057	255	62	0	0	PROPN
ejpam-7057	255	63	,	,	PUNCT
ejpam-7057	255	64	1	1	NUM
ejpam-7057	255	65	〉	〉	NUM
ejpam-7057	255	66	〈	〈	PROPN
ejpam-7057	255	67	0	0	NUM
ejpam-7057	255	68	,	,	PUNCT
ejpam-7057	255	69	1	1	NUM
ejpam-7057	255	70	〉	〉	NUM
ejpam-7057	255	71	〈	〈	PROPN
ejpam-7057	255	72	0	0	NUM
ejpam-7057	255	73	,	,	PUNCT
ejpam-7057	255	74	1	1	NUM
ejpam-7057	255	75	〉	〉	NUM
ejpam-7057	255	76	〈	〈	PROPN
ejpam-7057	255	77	0	0	NUM
ejpam-7057	255	78	,	,	PUNCT
ejpam-7057	255	79	1	1	NUM
ejpam-7057	255	80	〉	〉	NUM
ejpam-7057	255	81	〈	〈	PROPN
ejpam-7057	255	82	0	0	NUM
ejpam-7057	255	83	,	,	PUNCT
ejpam-7057	255	84	1	1	NUM
ejpam-7057	255	85	〉	〉	NUM
ejpam-7057	255	86	v4	v4	NOUN
ejpam-7057	255	87	〈	〈	PROPN
ejpam-7057	255	88	0	0	NUM
ejpam-7057	255	89	,	,	PUNCT
ejpam-7057	255	90	1	1	NUM
ejpam-7057	255	91	〉	〉	NUM
ejpam-7057	255	92	〈	〈	PROPN
ejpam-7057	255	93	0	0	NUM
ejpam-7057	255	94	,	,	PUNCT
ejpam-7057	255	95	1	1	NUM
ejpam-7057	255	96	〉	〉	NUM
ejpam-7057	255	97	〈	〈	PROPN
ejpam-7057	255	98	0	0	NUM
ejpam-7057	255	99	,	,	PUNCT
ejpam-7057	255	100	1	1	NUM
ejpam-7057	255	101	〉	〉	NUM
ejpam-7057	255	102	〈	〈	PROPN
ejpam-7057	255	103	0	0	NUM
ejpam-7057	255	104	,	,	PUNCT
ejpam-7057	255	105	1	1	NUM
ejpam-7057	255	106	〉	〉	NUM
ejpam-7057	255	107	〈	〈	PROPN
ejpam-7057	255	108	0	0	NUM
ejpam-7057	255	109	,	,	PUNCT
ejpam-7057	255	110	1	1	NUM
ejpam-7057	255	111	〉	〉	NUM
ejpam-7057	255	112	v5	v5	PROPN
ejpam-7057	255	113	〈	〈	PROPN
ejpam-7057	255	114	0	0	NUM
ejpam-7057	255	115	,	,	PUNCT
ejpam-7057	255	116	1	1	NUM
ejpam-7057	255	117	〉	〉	NUM
ejpam-7057	255	118	〈	〈	PROPN
ejpam-7057	255	119	0	0	NUM
ejpam-7057	255	120	,	,	PUNCT
ejpam-7057	255	121	1	1	NUM
ejpam-7057	255	122	〉	〉	NUM
ejpam-7057	255	123	〈	〈	PROPN
ejpam-7057	255	124	0	0	NUM
ejpam-7057	255	125	,	,	PUNCT
ejpam-7057	255	126	1	1	NUM
ejpam-7057	255	127	〉	〉	NUM
ejpam-7057	255	128	〈	〈	PROPN
ejpam-7057	255	129	0	0	NUM
ejpam-7057	255	130	,	,	PUNCT
ejpam-7057	255	131	1	1	NUM
ejpam-7057	255	132	〉	〉	NUM
ejpam-7057	255	133	〈	〈	PROPN
ejpam-7057	255	134	0	0	NUM
ejpam-7057	255	135	,	,	PUNCT
ejpam-7057	255	136	1	1	NUM
ejpam-7057	255	137	〉	〉	NUM
ejpam-7057	255	138			NOUN
ejpam-7057	255	139	b(4	b(4	NOUN
ejpam-7057	255	140	)	)	PUNCT
ejpam-7057	256	1	=	=	PUNCT
ejpam-7057	256	2	(	(	PUNCT
ejpam-7057	256	3	〈	〈	PROPN
ejpam-7057	256	4	bij	bij	NOUN
ejpam-7057	256	5	,	,	PUNCT
ejpam-7057	256	6	b	b	NOUN
ejpam-7057	256	7	′	′	NOUN
ejpam-7057	256	8	ij〉)(4	ij〉)(4	NOUN
ejpam-7057	256	9	)	)	PUNCT
ejpam-7057	256	10	=	=	NOUN
ejpam-7057	256	11			NOUN
ejpam-7057	256	12	v1	v1	PROPN
ejpam-7057	256	13	v2	v2	PROPN
ejpam-7057	256	14	v3	v3	PROPN
ejpam-7057	256	15	v4	v4	PROPN
ejpam-7057	256	16	v5	v5	PROPN
ejpam-7057	256	17	v1	v1	PROPN
ejpam-7057	256	18	〈	〈	PROPN
ejpam-7057	256	19	0	0	NUM
ejpam-7057	256	20	,	,	PUNCT
ejpam-7057	256	21	1	1	NUM
ejpam-7057	256	22	〉	〉	NUM
ejpam-7057	256	23	〈	〈	PROPN
ejpam-7057	256	24	0	0	NUM
ejpam-7057	256	25	,	,	PUNCT
ejpam-7057	256	26	1	1	NUM
ejpam-7057	256	27	〉	〉	NUM
ejpam-7057	256	28	〈	〈	PROPN
ejpam-7057	256	29	0	0	NUM
ejpam-7057	256	30	,	,	PUNCT
ejpam-7057	256	31	1	1	NUM
ejpam-7057	256	32	〉	〉	NUM
ejpam-7057	256	33	〈	〈	PROPN
ejpam-7057	256	34	0	0	NUM
ejpam-7057	256	35	,	,	PUNCT
ejpam-7057	256	36	1	1	NUM
ejpam-7057	256	37	〉	〉	NUM
ejpam-7057	256	38	〈	〈	NOUN
ejpam-7057	256	39	0.01	0.01	NUM
ejpam-7057	256	40	,	,	PUNCT
ejpam-7057	256	41	0.99	0.99	NUM
ejpam-7057	256	42	〉	〉	NUM
ejpam-7057	256	43	v2	v2	NOUN
ejpam-7057	256	44	〈	〈	PROPN
ejpam-7057	256	45	0	0	NUM
ejpam-7057	256	46	,	,	PUNCT
ejpam-7057	256	47	1	1	NUM
ejpam-7057	256	48	〉	〉	NUM
ejpam-7057	256	49	〈	〈	PROPN
ejpam-7057	256	50	0	0	NUM
ejpam-7057	256	51	,	,	PUNCT
ejpam-7057	256	52	1	1	NUM
ejpam-7057	256	53	〉	〉	NUM
ejpam-7057	256	54	〈	〈	PROPN
ejpam-7057	256	55	0	0	NUM
ejpam-7057	256	56	,	,	PUNCT
ejpam-7057	256	57	1	1	NUM
ejpam-7057	256	58	〉	〉	NUM
ejpam-7057	256	59	〈	〈	PROPN
ejpam-7057	256	60	0	0	NUM
ejpam-7057	256	61	,	,	PUNCT
ejpam-7057	256	62	1	1	NUM
ejpam-7057	256	63	〉	〉	NUM
ejpam-7057	256	64	〈	〈	PROPN
ejpam-7057	256	65	0	0	NUM
ejpam-7057	256	66	,	,	PUNCT
ejpam-7057	256	67	1	1	NUM
ejpam-7057	256	68	〉	〉	NUM
ejpam-7057	256	69	v3	v3	PROPN
ejpam-7057	256	70	〈	〈	PROPN
ejpam-7057	256	71	0	0	PROPN
ejpam-7057	256	72	,	,	PUNCT
ejpam-7057	256	73	1	1	NUM
ejpam-7057	256	74	〉	〉	NUM
ejpam-7057	256	75	〈	〈	PROPN
ejpam-7057	256	76	0	0	NUM
ejpam-7057	256	77	,	,	PUNCT
ejpam-7057	256	78	1	1	NUM
ejpam-7057	256	79	〉	〉	NUM
ejpam-7057	256	80	〈	〈	PROPN
ejpam-7057	256	81	0	0	NUM
ejpam-7057	256	82	,	,	PUNCT
ejpam-7057	256	83	1	1	NUM
ejpam-7057	256	84	〉	〉	NUM
ejpam-7057	256	85	〈	〈	PROPN
ejpam-7057	256	86	0	0	NUM
ejpam-7057	256	87	,	,	PUNCT
ejpam-7057	256	88	1	1	NUM
ejpam-7057	256	89	〉	〉	NUM
ejpam-7057	256	90	〈	〈	PROPN
ejpam-7057	256	91	0	0	NUM
ejpam-7057	256	92	,	,	PUNCT
ejpam-7057	256	93	1	1	NUM
ejpam-7057	256	94	〉	〉	NUM
ejpam-7057	256	95	v4	v4	NOUN
ejpam-7057	256	96	〈	〈	PROPN
ejpam-7057	256	97	0	0	NUM
ejpam-7057	256	98	,	,	PUNCT
ejpam-7057	256	99	1	1	NUM
ejpam-7057	256	100	〉	〉	NUM
ejpam-7057	256	101	〈	〈	PROPN
ejpam-7057	256	102	0	0	NUM
ejpam-7057	256	103	,	,	PUNCT
ejpam-7057	256	104	1	1	NUM
ejpam-7057	256	105	〉	〉	NUM
ejpam-7057	256	106	〈	〈	PROPN
ejpam-7057	256	107	0	0	NUM
ejpam-7057	256	108	,	,	PUNCT
ejpam-7057	256	109	1	1	NUM
ejpam-7057	256	110	〉	〉	NUM
ejpam-7057	256	111	〈	〈	PROPN
ejpam-7057	256	112	0	0	NUM
ejpam-7057	256	113	,	,	PUNCT
ejpam-7057	256	114	1	1	NUM
ejpam-7057	256	115	〉	〉	NUM
ejpam-7057	256	116	〈	〈	PROPN
ejpam-7057	256	117	0	0	NUM
ejpam-7057	256	118	,	,	PUNCT
ejpam-7057	256	119	1	1	NUM
ejpam-7057	256	120	〉	〉	NUM
ejpam-7057	256	121	v5	v5	PROPN
ejpam-7057	256	122	〈	〈	PROPN
ejpam-7057	256	123	0	0	NUM
ejpam-7057	256	124	,	,	PUNCT
ejpam-7057	256	125	1	1	NUM
ejpam-7057	256	126	〉	〉	NUM
ejpam-7057	256	127	〈	〈	PROPN
ejpam-7057	256	128	0	0	NUM
ejpam-7057	256	129	,	,	PUNCT
ejpam-7057	256	130	1	1	NUM
ejpam-7057	256	131	〉	〉	NUM
ejpam-7057	256	132	〈	〈	PROPN
ejpam-7057	256	133	0	0	NUM
ejpam-7057	256	134	,	,	PUNCT
ejpam-7057	256	135	1	1	NUM
ejpam-7057	256	136	〉	〉	NUM
ejpam-7057	256	137	〈	〈	PROPN
ejpam-7057	256	138	0	0	NUM
ejpam-7057	256	139	,	,	PUNCT
ejpam-7057	256	140	1	1	NUM
ejpam-7057	256	141	〉	〉	NUM
ejpam-7057	256	142	〈	〈	PROPN
ejpam-7057	256	143	0	0	NUM
ejpam-7057	256	144	,	,	PUNCT
ejpam-7057	256	145	1	1	NUM
ejpam-7057	256	146	〉	〉	NUM
ejpam-7057	256	147			NOUN
ejpam-7057	256	148	b(5	b(5	NOUN
ejpam-7057	256	149	)	)	PUNCT
ejpam-7057	256	150	=	=	PRON
ejpam-7057	257	1	(	(	PUNCT
ejpam-7057	257	2	〈	〈	PROPN
ejpam-7057	257	3	bij	bij	NOUN
ejpam-7057	257	4	,	,	PUNCT
ejpam-7057	257	5	b	b	NOUN
ejpam-7057	257	6	′	′	NUM
ejpam-7057	257	7	ij〉)(5	ij〉)(5	NOUN
ejpam-7057	257	8	)	)	PUNCT
ejpam-7057	258	1	=	=	X
ejpam-7057	258	2			NOUN
ejpam-7057	258	3	v1	v1	PROPN
ejpam-7057	258	4	v2	v2	PROPN
ejpam-7057	258	5	v3	v3	PROPN
ejpam-7057	258	6	v4	v4	PROPN
ejpam-7057	258	7	v5	v5	PROPN
ejpam-7057	258	8	v1	v1	PROPN
ejpam-7057	258	9	〈	〈	PROPN
ejpam-7057	258	10	0	0	NUM
ejpam-7057	258	11	,	,	PUNCT
ejpam-7057	258	12	1	1	NUM
ejpam-7057	258	13	〉	〉	NUM
ejpam-7057	258	14	〈	〈	PROPN
ejpam-7057	258	15	0	0	NUM
ejpam-7057	258	16	,	,	PUNCT
ejpam-7057	258	17	1	1	NUM
ejpam-7057	258	18	〉	〉	NUM
ejpam-7057	258	19	〈	〈	PROPN
ejpam-7057	258	20	0	0	NUM
ejpam-7057	258	21	,	,	PUNCT
ejpam-7057	258	22	1	1	NUM
ejpam-7057	258	23	〉	〉	NUM
ejpam-7057	258	24	〈	〈	PROPN
ejpam-7057	258	25	0	0	NUM
ejpam-7057	258	26	,	,	PUNCT
ejpam-7057	258	27	1	1	NUM
ejpam-7057	258	28	〉	〉	NUM
ejpam-7057	258	29	〈	〈	PROPN
ejpam-7057	258	30	0	0	NUM
ejpam-7057	258	31	,	,	PUNCT
ejpam-7057	258	32	1	1	NUM
ejpam-7057	258	33	〉	〉	NUM
ejpam-7057	258	34	v2	v2	NOUN
ejpam-7057	258	35	〈	〈	PROPN
ejpam-7057	258	36	0	0	NUM
ejpam-7057	258	37	,	,	PUNCT
ejpam-7057	258	38	1	1	NUM
ejpam-7057	258	39	〉	〉	NUM
ejpam-7057	258	40	〈	〈	PROPN
ejpam-7057	258	41	0	0	NUM
ejpam-7057	258	42	,	,	PUNCT
ejpam-7057	258	43	1	1	NUM
ejpam-7057	258	44	〉	〉	NUM
ejpam-7057	258	45	〈	〈	PROPN
ejpam-7057	258	46	0	0	NUM
ejpam-7057	258	47	,	,	PUNCT
ejpam-7057	258	48	1	1	NUM
ejpam-7057	258	49	〉	〉	NUM
ejpam-7057	258	50	〈	〈	PROPN
ejpam-7057	258	51	0	0	NUM
ejpam-7057	258	52	,	,	PUNCT
ejpam-7057	258	53	1	1	NUM
ejpam-7057	258	54	〉	〉	NUM
ejpam-7057	258	55	〈	〈	PROPN
ejpam-7057	258	56	0	0	NUM
ejpam-7057	258	57	,	,	PUNCT
ejpam-7057	258	58	1	1	NUM
ejpam-7057	258	59	〉	〉	NUM
ejpam-7057	258	60	v3	v3	PROPN
ejpam-7057	258	61	〈	〈	PROPN
ejpam-7057	258	62	0	0	PROPN
ejpam-7057	258	63	,	,	PUNCT
ejpam-7057	258	64	1	1	NUM
ejpam-7057	258	65	〉	〉	NUM
ejpam-7057	258	66	〈	〈	PROPN
ejpam-7057	258	67	0	0	NUM
ejpam-7057	258	68	,	,	PUNCT
ejpam-7057	258	69	1	1	NUM
ejpam-7057	258	70	〉	〉	NUM
ejpam-7057	258	71	〈	〈	PROPN
ejpam-7057	258	72	0	0	NUM
ejpam-7057	258	73	,	,	PUNCT
ejpam-7057	258	74	1	1	NUM
ejpam-7057	258	75	〉	〉	NUM
ejpam-7057	258	76	〈	〈	PROPN
ejpam-7057	258	77	0	0	NUM
ejpam-7057	258	78	,	,	PUNCT
ejpam-7057	258	79	1	1	NUM
ejpam-7057	258	80	〉	〉	NUM
ejpam-7057	258	81	〈	〈	PROPN
ejpam-7057	258	82	0	0	NUM
ejpam-7057	258	83	,	,	PUNCT
ejpam-7057	258	84	1	1	NUM
ejpam-7057	258	85	〉	〉	NUM
ejpam-7057	258	86	v4	v4	NOUN
ejpam-7057	258	87	〈	〈	PROPN
ejpam-7057	258	88	0	0	NUM
ejpam-7057	258	89	,	,	PUNCT
ejpam-7057	258	90	1	1	NUM
ejpam-7057	258	91	〉	〉	NUM
ejpam-7057	258	92	〈	〈	PROPN
ejpam-7057	258	93	0	0	NUM
ejpam-7057	258	94	,	,	PUNCT
ejpam-7057	258	95	1	1	NUM
ejpam-7057	258	96	〉	〉	NUM
ejpam-7057	258	97	〈	〈	PROPN
ejpam-7057	258	98	0	0	NUM
ejpam-7057	258	99	,	,	PUNCT
ejpam-7057	258	100	1	1	NUM
ejpam-7057	258	101	〉	〉	NUM
ejpam-7057	258	102	〈	〈	PROPN
ejpam-7057	258	103	0	0	NUM
ejpam-7057	258	104	,	,	PUNCT
ejpam-7057	258	105	1	1	NUM
ejpam-7057	258	106	〉	〉	NUM
ejpam-7057	258	107	〈	〈	PROPN
ejpam-7057	258	108	0	0	NUM
ejpam-7057	258	109	,	,	PUNCT
ejpam-7057	258	110	1	1	NUM
ejpam-7057	258	111	〉	〉	NUM
ejpam-7057	258	112	v5	v5	PROPN
ejpam-7057	258	113	〈	〈	PROPN
ejpam-7057	258	114	0	0	NUM
ejpam-7057	258	115	,	,	PUNCT
ejpam-7057	258	116	1	1	NUM
ejpam-7057	258	117	〉	〉	NUM
ejpam-7057	258	118	〈	〈	PROPN
ejpam-7057	258	119	0	0	NUM
ejpam-7057	258	120	,	,	PUNCT
ejpam-7057	258	121	1	1	NUM
ejpam-7057	258	122	〉	〉	NUM
ejpam-7057	258	123	〈	〈	PROPN
ejpam-7057	258	124	0	0	NUM
ejpam-7057	258	125	,	,	PUNCT
ejpam-7057	258	126	1	1	NUM
ejpam-7057	258	127	〉	〉	NUM
ejpam-7057	258	128	〈	〈	PROPN
ejpam-7057	258	129	0	0	NUM
ejpam-7057	258	130	,	,	PUNCT
ejpam-7057	258	131	1	1	NUM
ejpam-7057	258	132	〉	〉	NUM
ejpam-7057	258	133	〈	〈	PROPN
ejpam-7057	258	134	0	0	NUM
ejpam-7057	258	135	,	,	PUNCT
ejpam-7057	258	136	1	1	NUM
ejpam-7057	258	137	〉	〉	NUM
ejpam-7057	258	138			NOUN
ejpam-7057	258	139	s.	s.	PROPN
ejpam-7057	258	140	aljohani	aljohani	PROPN
ejpam-7057	258	141	,	,	PUNCT
ejpam-7057	258	142	r.	r.	PROPN
ejpam-7057	258	143	a.	a.	NOUN
ejpam-7057	258	144	padder	padder	PROPN
ejpam-7057	258	145	,	,	PUNCT
ejpam-7057	258	146	p.	p.	PROPN
ejpam-7057	258	147	devshali	devshali	PROPN
ejpam-7057	258	148	/	/	SYM
ejpam-7057	258	149	eur	eur	PROPN
ejpam-7057	258	150	.	.	PUNCT
ejpam-7057	259	1	j.	j.	PROPN
ejpam-7057	259	2	pure	pure	PROPN
ejpam-7057	259	3	appl	appl	PROPN
ejpam-7057	259	4	.	.	PROPN
ejpam-7057	259	5	math	math	PROPN
ejpam-7057	259	6	,	,	PUNCT
ejpam-7057	259	7	18	18	NUM
ejpam-7057	259	8	(	(	PUNCT
ejpam-7057	259	9	4	4	NUM
ejpam-7057	259	10	)	)	PUNCT
ejpam-7057	259	11	(	(	PUNCT
ejpam-7057	259	12	2025	2025	NUM
ejpam-7057	259	13	)	)	PUNCT
ejpam-7057	259	14	,	,	PUNCT
ejpam-7057	259	15	7057	7057	NUM
ejpam-7057	259	16	8	8	NUM
ejpam-7057	259	17	of	of	ADP
ejpam-7057	259	18	11	11	NUM
ejpam-7057	259	19	v1	v1	NOUN
ejpam-7057	259	20	2	2	NUM
ejpam-7057	259	21	34	34	NUM
ejpam-7057	259	22	5	5	NUM
ejpam-7057	259	23	v	v	NOUN
ejpam-7057	259	24	v	v	NUM
ejpam-7057	259	25	v	v	NOUN
ejpam-7057	259	26	v	v	NOUN
ejpam-7057	259	27	b	b	PROPN
ejpam-7057	259	28	(	(	PUNCT
ejpam-7057	259	29	1	1	NUM
ejpam-7057	259	30	)	)	PUNCT
ejpam-7057	259	31	v1	v1	NOUN
ejpam-7057	259	32	2	2	NUM
ejpam-7057	259	33	34	34	NUM
ejpam-7057	259	34	5	5	NUM
ejpam-7057	259	35	v	v	NOUN
ejpam-7057	259	36	v	v	NUM
ejpam-7057	259	37	v	v	NOUN
ejpam-7057	259	38	v	v	NOUN
ejpam-7057	259	39	b	b	PROPN
ejpam-7057	259	40	(	(	PUNCT
ejpam-7057	259	41	2	2	NUM
ejpam-7057	259	42	)	)	PUNCT
ejpam-7057	259	43	v1	v1	NOUN
ejpam-7057	259	44	2	2	NUM
ejpam-7057	260	1	34	34	NUM
ejpam-7057	260	2	5	5	NUM
ejpam-7057	260	3	v	v	NOUN
ejpam-7057	260	4	v	v	NUM
ejpam-7057	260	5	v	v	NOUN
ejpam-7057	260	6	v	v	NOUN
ejpam-7057	260	7	b	b	PROPN
ejpam-7057	260	8	(	(	PUNCT
ejpam-7057	260	9	3	3	NUM
ejpam-7057	260	10	)	)	PUNCT
ejpam-7057	260	11	v1	v1	NOUN
ejpam-7057	260	12	2	2	NUM
ejpam-7057	260	13	34	34	NUM
ejpam-7057	260	14	5	5	NUM
ejpam-7057	260	15	v	v	NOUN
ejpam-7057	260	16	v	v	NUM
ejpam-7057	260	17	v	v	NOUN
ejpam-7057	260	18	v	v	NOUN
ejpam-7057	260	19	b	b	PROPN
ejpam-7057	260	20	(	(	PUNCT
ejpam-7057	260	21	4	4	NUM
ejpam-7057	260	22	)	)	PUNCT
ejpam-7057	260	23	v1	v1	NOUN
ejpam-7057	260	24	2	2	NUM
ejpam-7057	260	25	34	34	NUM
ejpam-7057	260	26	5	5	NUM
ejpam-7057	260	27	v	v	NOUN
ejpam-7057	260	28	v	v	NUM
ejpam-7057	260	29	v	v	NOUN
ejpam-7057	260	30	v	v	NOUN
ejpam-7057	260	31	b	b	PROPN
ejpam-7057	260	32	(	(	PUNCT
ejpam-7057	260	33	5	5	NUM
ejpam-7057	260	34	)	)	PUNCT
ejpam-7057	260	35	figure	figure	NOUN
ejpam-7057	260	36	1	1	NUM
ejpam-7057	260	37	:	:	PUNCT
ejpam-7057	260	38	simultaneous	simultaneous	ADJ
ejpam-7057	260	39	nilpotence	nilpotence	NOUN
ejpam-7057	260	40	.	.	PUNCT
ejpam-7057	261	1	note	note	NOUN
ejpam-7057	261	2	:	:	PUNCT
ejpam-7057	262	1	zhang	zhang	PROPN
ejpam-7057	263	1	[	[	X
ejpam-7057	263	2	35	35	NUM
ejpam-7057	263	3	]	]	PUNCT
ejpam-7057	263	4	studied	study	VERB
ejpam-7057	263	5	the	the	DET
ejpam-7057	263	6	index	index	NOUN
ejpam-7057	263	7	h(f	h(f	PROPN
ejpam-7057	263	8	)	)	PUNCT
ejpam-7057	263	9	by	by	ADP
ejpam-7057	263	10	using	use	VERB
ejpam-7057	263	11	e(〈aij	e(〈aij	NOUN
ejpam-7057	263	12	,	,	PUNCT
ejpam-7057	263	13	a′ij	a′ij	PROPN
ejpam-7057	263	14	〉	〉	NOUN
ejpam-7057	263	15	)	)	PUNCT
ejpam-7057	264	1	=	=	PRON
ejpam-7057	264	2	{	{	PUNCT
ejpam-7057	264	3	(	(	PUNCT
ejpam-7057	264	4	i	i	PROPN
ejpam-7057	264	5	,	,	PUNCT
ejpam-7057	264	6	j)|〈aij	j)|〈aij	PROPN
ejpam-7057	264	7	,	,	PUNCT
ejpam-7057	264	8	a′ij	a′ij	VERB
ejpam-7057	264	9	〉	〉	PROPN
ejpam-7057	264	10	≥	≥	NUM
ejpam-7057	264	11	〈	〈	PROPN
ejpam-7057	264	12	0	0	NUM
ejpam-7057	264	13	,	,	PUNCT
ejpam-7057	264	14	1	1	NUM
ejpam-7057	264	15	〉	〉	NUM
ejpam-7057	264	16	}	}	PUNCT
ejpam-7057	264	17	is	be	AUX
ejpam-7057	264	18	the	the	DET
ejpam-7057	264	19	set	set	NOUN
ejpam-7057	264	20	of	of	ADP
ejpam-7057	264	21	all	all	DET
ejpam-7057	264	22	directed	direct	VERB
ejpam-7057	264	23	edges	edge	NOUN
ejpam-7057	264	24	in	in	ADP
ejpam-7057	264	25	γ((〈aij	γ((〈aij	PROPN
ejpam-7057	264	26	,	,	PUNCT
ejpam-7057	264	27	a′ij	a′ij	VERB
ejpam-7057	264	28	〉	〉	PROPN
ejpam-7057	264	29	)	)	PUNCT
ejpam-7057	264	30	)	)	PUNCT
ejpam-7057	264	31	,	,	PUNCT
ejpam-7057	264	32	e	e	X
ejpam-7057	264	33	(	(	PUNCT
ejpam-7057	264	34	1	1	NUM
ejpam-7057	264	35	)	)	PUNCT
ejpam-7057	264	36	(	(	PUNCT
ejpam-7057	264	37	〈	〈	PROPN
ejpam-7057	264	38	aij	aij	PROPN
ejpam-7057	264	39	,	,	PUNCT
ejpam-7057	264	40	a′ij	a′ij	NOUN
ejpam-7057	264	41	〉	〉	NOUN
ejpam-7057	264	42	)	)	PUNCT
ejpam-7057	265	1	=	=	PRON
ejpam-7057	265	2	{	{	PUNCT
ejpam-7057	265	3	i|(i	i|(i	PROPN
ejpam-7057	265	4	,	,	PUNCT
ejpam-7057	265	5	j	j	PROPN
ejpam-7057	265	6	)	)	PUNCT
ejpam-7057	265	7	∈	∈	PROPN
ejpam-7057	265	8	e(〈aij	e(〈aij	NOUN
ejpam-7057	265	9	,	,	PUNCT
ejpam-7057	265	10	a′ij	a′ij	PROPN
ejpam-7057	265	11	〉	〉	PROPN
ejpam-7057	265	12	)	)	PUNCT
ejpam-7057	265	13	}	}	PUNCT
ejpam-7057	265	14	is	be	AUX
ejpam-7057	265	15	the	the	DET
ejpam-7057	265	16	set	set	NOUN
ejpam-7057	265	17	of	of	ADP
ejpam-7057	265	18	all	all	DET
ejpam-7057	265	19	initial	initial	ADJ
ejpam-7057	265	20	vertices	vertex	NOUN
ejpam-7057	265	21	of	of	ADP
ejpam-7057	265	22	directed	direct	VERB
ejpam-7057	265	23	edges	edge	NOUN
ejpam-7057	265	24	in	in	ADP
ejpam-7057	265	25	γ((〈aij	γ((〈aij	PROPN
ejpam-7057	265	26	,	,	PUNCT
ejpam-7057	265	27	a′ij	a′ij	VERB
ejpam-7057	265	28	〉	〉	PROPN
ejpam-7057	265	29	)	)	PUNCT
ejpam-7057	265	30	)	)	PUNCT
ejpam-7057	265	31	,	,	PUNCT
ejpam-7057	265	32	and	and	CCONJ
ejpam-7057	265	33	e2	e2	PROPN
ejpam-7057	265	34	2	2	NUM
ejpam-7057	265	35	=	=	NOUN
ejpam-7057	265	36	{	{	PUNCT
ejpam-7057	265	37	j|(i	j|(i	PROPN
ejpam-7057	265	38	,	,	PUNCT
ejpam-7057	265	39	j	j	PROPN
ejpam-7057	265	40	)	)	PUNCT
ejpam-7057	265	41	∈	∈	PROPN
ejpam-7057	265	42	e(〈aij	e(〈aij	NOUN
ejpam-7057	265	43	,	,	PUNCT
ejpam-7057	265	44	a′ij	a′ij	PROPN
ejpam-7057	265	45	〉	〉	PROPN
ejpam-7057	265	46	)	)	PUNCT
ejpam-7057	265	47	}	}	PUNCT
ejpam-7057	265	48	is	be	AUX
ejpam-7057	265	49	the	the	DET
ejpam-7057	265	50	set	set	NOUN
ejpam-7057	265	51	of	of	ADP
ejpam-7057	265	52	all	all	DET
ejpam-7057	265	53	end	end	NOUN
ejpam-7057	265	54	vertices	vertex	NOUN
ejpam-7057	265	55	of	of	ADP
ejpam-7057	265	56	directed	direct	VERB
ejpam-7057	265	57	edges	edge	NOUN
ejpam-7057	265	58	in	in	ADP
ejpam-7057	265	59	γ((〈aij	γ((〈aij	PROPN
ejpam-7057	265	60	,	,	PUNCT
ejpam-7057	265	61	a′ij	a′ij	VERB
ejpam-7057	265	62	〉	〉	PROPN
ejpam-7057	265	63	)	)	PUNCT
ejpam-7057	265	64	)	)	PUNCT
ejpam-7057	265	65	.	.	PUNCT
ejpam-7057	266	1	similarly	similarly	ADV
ejpam-7057	266	2	we	we	PRON
ejpam-7057	266	3	can	can	AUX
ejpam-7057	266	4	extend	extend	VERB
ejpam-7057	266	5	with	with	ADP
ejpam-7057	266	6	simultaneous	simultaneous	ADJ
ejpam-7057	266	7	nilpotence	nilpotence	NOUN
ejpam-7057	266	8	.	.	PUNCT
ejpam-7057	267	1	let	let	VERB
ejpam-7057	267	2	f	f	NOUN
ejpam-7057	267	3	=	=	PRON
ejpam-7057	267	4	{	{	PUNCT
ejpam-7057	267	5	(	(	PUNCT
ejpam-7057	267	6	〈	〈	PROPN
ejpam-7057	267	7	aij	aij	PROPN
ejpam-7057	267	8	,	,	PUNCT
ejpam-7057	267	9	a′ij〉)(1	a′ij〉)(1	PROPN
ejpam-7057	267	10	)	)	PUNCT
ejpam-7057	267	11	,	,	PUNCT
ejpam-7057	267	12	(	(	PUNCT
ejpam-7057	267	13	〈	〈	PROPN
ejpam-7057	267	14	aij	aij	PROPN
ejpam-7057	267	15	,	,	PUNCT
ejpam-7057	267	16	a′ij〉)(2	a′ij〉)(2	NOUN
ejpam-7057	267	17	)	)	PUNCT
ejpam-7057	267	18	,	,	PUNCT
ejpam-7057	267	19	...	...	PUNCT
ejpam-7057	267	20	,	,	PUNCT
ejpam-7057	267	21	(	(	PUNCT
ejpam-7057	267	22	〈	〈	PROPN
ejpam-7057	267	23	aij	aij	PROPN
ejpam-7057	267	24	,	,	PUNCT
ejpam-7057	267	25	a′ij〉)(m	a′ij〉)(m	ADJ
ejpam-7057	267	26	)	)	PUNCT
ejpam-7057	267	27	}	}	PUNCT
ejpam-7057	267	28	⊂	⊂	PROPN
ejpam-7057	267	29	fn×n	fn×n	PROPN
ejpam-7057	267	30	be	be	AUX
ejpam-7057	267	31	a	a	DET
ejpam-7057	267	32	simultaneously	simultaneously	ADV
ejpam-7057	267	33	nilpotent	nilpotent	ADJ
ejpam-7057	267	34	set	set	VERB
ejpam-7057	267	35	.	.	PUNCT
ejpam-7057	268	1	define	define	VERB
ejpam-7057	268	2	ef	ef	PROPN
ejpam-7057	268	3	,	,	PUNCT
ejpam-7057	268	4	e	e	X
ejpam-7057	268	5	(	(	PUNCT
ejpam-7057	268	6	1	1	X
ejpam-7057	268	7	)	)	PUNCT
ejpam-7057	268	8	f	f	NOUN
ejpam-7057	268	9	,	,	PUNCT
ejpam-7057	268	10	e	e	X
ejpam-7057	268	11	(	(	PUNCT
ejpam-7057	268	12	2	2	NUM
ejpam-7057	268	13	)	)	PUNCT
ejpam-7057	268	14	f	f	NOUN
ejpam-7057	268	15	by	by	ADP
ejpam-7057	268	16	ef	ef	X
ejpam-7057	268	17	=	=	PUNCT
ejpam-7057	268	18	{	{	PUNCT
ejpam-7057	268	19	(	(	PUNCT
ejpam-7057	268	20	i	i	PROPN
ejpam-7057	268	21	,	,	PUNCT
ejpam-7057	268	22	j	j	PROPN
ejpam-7057	268	23	)	)	PUNCT
ejpam-7057	268	24	:	:	PUNCT
ejpam-7057	269	1	〈	〈	PROPN
ejpam-7057	269	2	aij	aij	PROPN
ejpam-7057	269	3	,	,	PUNCT
ejpam-7057	269	4	a′ij	a′ij	VERB
ejpam-7057	269	5	〉	〉	PROPN
ejpam-7057	269	6	6=	6=	PROPN
ejpam-7057	269	7	〈	〈	PROPN
ejpam-7057	269	8	0	0	NUM
ejpam-7057	269	9	,	,	PUNCT
ejpam-7057	269	10	1	1	NUM
ejpam-7057	269	11	〉	〉	NUM
ejpam-7057	269	12	for	for	ADP
ejpam-7057	269	13	some	some	PRON
ejpam-7057	269	14	(	(	PUNCT
ejpam-7057	269	15	〈	〈	PROPN
ejpam-7057	269	16	aij	aij	PROPN
ejpam-7057	269	17	,	,	PUNCT
ejpam-7057	269	18	a′ij	a′ij	NOUN
ejpam-7057	269	19	〉	〉	NOUN
ejpam-7057	269	20	)	)	PUNCT
ejpam-7057	269	21	=	=	PUNCT
ejpam-7057	270	1	[	[	X
ejpam-7057	270	2	〈	〈	X
ejpam-7057	270	3	aij	aij	PROPN
ejpam-7057	270	4	,	,	PUNCT
ejpam-7057	270	5	a′ij	a′ij	VERB
ejpam-7057	270	6	〉	〉	PROPN
ejpam-7057	270	7	]	]	X
ejpam-7057	270	8	∈	∈	PROPN
ejpam-7057	270	9	f	f	X
ejpam-7057	270	10	}	}	PUNCT
ejpam-7057	270	11	;	;	PUNCT
ejpam-7057	270	12	e	e	X
ejpam-7057	270	13	(	(	PUNCT
ejpam-7057	270	14	1	1	X
ejpam-7057	270	15	)	)	PUNCT
ejpam-7057	270	16	f	f	NOUN
ejpam-7057	271	1	=	=	PRON
ejpam-7057	271	2	{	{	PUNCT
ejpam-7057	272	1	i	i	PRON
ejpam-7057	272	2	:	:	PUNCT
ejpam-7057	272	3	〈	〈	PROPN
ejpam-7057	272	4	aij	aij	PROPN
ejpam-7057	272	5	,	,	PUNCT
ejpam-7057	272	6	a′ij	a′ij	VERB
ejpam-7057	272	7	〉	〉	PROPN
ejpam-7057	272	8	6=	6=	PROPN
ejpam-7057	272	9	〈	〈	PROPN
ejpam-7057	272	10	0	0	NUM
ejpam-7057	272	11	,	,	PUNCT
ejpam-7057	272	12	1	1	NUM
ejpam-7057	272	13	〉	〉	NUM
ejpam-7057	272	14	for	for	ADP
ejpam-7057	272	15	some	some	PRON
ejpam-7057	272	16	(	(	PUNCT
ejpam-7057	272	17	〈	〈	PROPN
ejpam-7057	272	18	aij	aij	PROPN
ejpam-7057	272	19	,	,	PUNCT
ejpam-7057	272	20	a′ij	a′ij	NOUN
ejpam-7057	272	21	〉	〉	NOUN
ejpam-7057	272	22	)	)	PUNCT
ejpam-7057	272	23	=	=	PUNCT
ejpam-7057	273	1	[	[	X
ejpam-7057	273	2	〈	〈	X
ejpam-7057	273	3	aij	aij	PROPN
ejpam-7057	273	4	,	,	PUNCT
ejpam-7057	273	5	a′ij	a′ij	VERB
ejpam-7057	273	6	〉	〉	PROPN
ejpam-7057	273	7	]	]	PUNCT
ejpam-7057	273	8	∈	∈	PROPN
ejpam-7057	273	9	}	}	PUNCT
ejpam-7057	273	10	;	;	PUNCT
ejpam-7057	273	11	e	e	X
ejpam-7057	273	12	(	(	PUNCT
ejpam-7057	273	13	1	1	X
ejpam-7057	273	14	)	)	PUNCT
ejpam-7057	273	15	f	f	NOUN
ejpam-7057	274	1	=	=	PRON
ejpam-7057	274	2	{	{	PUNCT
ejpam-7057	275	1	i	i	PRON
ejpam-7057	275	2	:	:	PUNCT
ejpam-7057	275	3	〈	〈	PROPN
ejpam-7057	275	4	aij	aij	PROPN
ejpam-7057	275	5	,	,	PUNCT
ejpam-7057	275	6	a′ij	a′ij	VERB
ejpam-7057	275	7	〉	〉	PROPN
ejpam-7057	275	8	6=	6=	PROPN
ejpam-7057	275	9	〈	〈	PROPN
ejpam-7057	275	10	0	0	NUM
ejpam-7057	275	11	,	,	PUNCT
ejpam-7057	275	12	1	1	NUM
ejpam-7057	275	13	〉	〉	NUM
ejpam-7057	275	14	for	for	ADP
ejpam-7057	275	15	some	some	PRON
ejpam-7057	275	16	(	(	PUNCT
ejpam-7057	275	17	〈	〈	PROPN
ejpam-7057	275	18	aij	aij	PROPN
ejpam-7057	275	19	,	,	PUNCT
ejpam-7057	275	20	a′ij	a′ij	NOUN
ejpam-7057	275	21	〉	〉	NOUN
ejpam-7057	275	22	)	)	PUNCT
ejpam-7057	275	23	=	=	PUNCT
ejpam-7057	276	1	[	[	X
ejpam-7057	276	2	〈	〈	X
ejpam-7057	276	3	aij	aij	PROPN
ejpam-7057	276	4	,	,	PUNCT
ejpam-7057	276	5	a′ij	a′ij	VERB
ejpam-7057	276	6	〉	〉	PROPN
ejpam-7057	276	7	]	]	PUNCT
ejpam-7057	276	8	∈	∈	PROPN
ejpam-7057	276	9	}	}	PUNCT
ejpam-7057	276	10	.	.	PUNCT
ejpam-7057	277	1	theorem	theorem	NOUN
ejpam-7057	277	2	5	5	NUM
ejpam-7057	277	3	.	.	PUNCT
ejpam-7057	278	1	let	let	VERB
ejpam-7057	278	2	(	(	PUNCT
ejpam-7057	278	3	〈	〈	NOUN
ejpam-7057	278	4	aij	aij	PROPN
ejpam-7057	278	5	,	,	PUNCT
ejpam-7057	278	6	a′ij	a′ij	PROPN
ejpam-7057	278	7	〉	〉	PROPN
ejpam-7057	278	8	)	)	PUNCT
ejpam-7057	278	9	be	be	AUX
ejpam-7057	278	10	ifm	ifm	PROPN
ejpam-7057	278	11	.	.	PUNCT
ejpam-7057	279	1	then	then	ADV
ejpam-7057	279	2	(	(	PUNCT
ejpam-7057	279	3	1	1	X
ejpam-7057	279	4	)	)	PUNCT
ejpam-7057	279	5	(	(	PUNCT
ejpam-7057	279	6	〈	〈	PROPN
ejpam-7057	279	7	aij	aij	PROPN
ejpam-7057	279	8	,	,	PUNCT
ejpam-7057	279	9	a′ij	a′ij	PROPN
ejpam-7057	279	10	〉	〉	PROPN
ejpam-7057	279	11	)	)	PUNCT
ejpam-7057	279	12	is	be	AUX
ejpam-7057	279	13	nilpotent	nilpotent	ADJ
ejpam-7057	279	14	ifm	ifm	NOUN
ejpam-7057	279	15	.	.	PUNCT
ejpam-7057	280	1	(	(	PUNCT
ejpam-7057	280	2	2	2	X
ejpam-7057	280	3	)	)	PUNCT
ejpam-7057	280	4	the	the	DET
ejpam-7057	280	5	digraph	digraph	NOUN
ejpam-7057	280	6	γ((〈aij	γ((〈aij	PROPN
ejpam-7057	280	7	,	,	PUNCT
ejpam-7057	280	8	a′ij	a′ij	VERB
ejpam-7057	280	9	〉	〉	PROPN
ejpam-7057	280	10	)	)	PUNCT
ejpam-7057	280	11	)	)	PUNCT
ejpam-7057	280	12	is	be	AUX
ejpam-7057	280	13	acyclic	acyclic	ADJ
ejpam-7057	280	14	.	.	PUNCT
ejpam-7057	281	1	(	(	PUNCT
ejpam-7057	281	2	3	3	X
ejpam-7057	281	3	)	)	PUNCT
ejpam-7057	281	4	each	each	DET
ejpam-7057	281	5	principal	principal	ADJ
ejpam-7057	281	6	minor	minor	ADJ
ejpam-7057	281	7	of	of	ADP
ejpam-7057	281	8	(	(	PUNCT
ejpam-7057	281	9	〈	〈	PROPN
ejpam-7057	281	10	aij	aij	PROPN
ejpam-7057	281	11	,	,	PUNCT
ejpam-7057	281	12	a′ij	a′ij	PROPN
ejpam-7057	281	13	〉	〉	PROPN
ejpam-7057	281	14	)	)	PUNCT
ejpam-7057	281	15	is	be	AUX
ejpam-7057	281	16	〈	〈	PROPN
ejpam-7057	281	17	0	0	NUM
ejpam-7057	281	18	,	,	PUNCT
ejpam-7057	281	19	1	1	NUM
ejpam-7057	281	20	〉	〉	NUM
ejpam-7057	281	21	(	(	PUNCT
ejpam-7057	281	22	4	4	NUM
ejpam-7057	281	23	)	)	PUNCT
ejpam-7057	281	24	every	every	DET
ejpam-7057	281	25	principal	principal	ADJ
ejpam-7057	281	26	minor	minor	NOUN
ejpam-7057	281	27	of	of	ADP
ejpam-7057	281	28	(	(	PUNCT
ejpam-7057	281	29	〈	〈	PROPN
ejpam-7057	281	30	aij	aij	PROPN
ejpam-7057	281	31	,	,	PUNCT
ejpam-7057	281	32	a′ij〉)n	a′ij〉)n	PROPN
ejpam-7057	281	33	is	be	AUX
ejpam-7057	281	34	〈	〈	PROPN
ejpam-7057	281	35	0	0	NUM
ejpam-7057	281	36	,	,	PUNCT
ejpam-7057	281	37	1	1	NUM
ejpam-7057	281	38	〉	〉	NUM
ejpam-7057	281	39	,	,	PUNCT
ejpam-7057	281	40	n	n	NOUN
ejpam-7057	281	41	=	=	SYM
ejpam-7057	281	42	1	1	NUM
ejpam-7057	281	43	,	,	PUNCT
ejpam-7057	281	44	2	2	NUM
ejpam-7057	281	45	,	,	PUNCT
ejpam-7057	281	46	..	..	PUNCT
ejpam-7057	282	1	s.	s.	PROPN
ejpam-7057	282	2	aljohani	aljohani	PROPN
ejpam-7057	282	3	,	,	PUNCT
ejpam-7057	282	4	r.	r.	PROPN
ejpam-7057	282	5	a.	a.	NOUN
ejpam-7057	282	6	padder	padder	PROPN
ejpam-7057	282	7	,	,	PUNCT
ejpam-7057	282	8	p.	p.	PROPN
ejpam-7057	282	9	devshali	devshali	PROPN
ejpam-7057	282	10	/	/	SYM
ejpam-7057	282	11	eur	eur	PROPN
ejpam-7057	282	12	.	.	PUNCT
ejpam-7057	283	1	j.	j.	PROPN
ejpam-7057	283	2	pure	pure	PROPN
ejpam-7057	283	3	appl	appl	PROPN
ejpam-7057	283	4	.	.	PROPN
ejpam-7057	283	5	math	math	PROPN
ejpam-7057	283	6	,	,	PUNCT
ejpam-7057	283	7	18	18	NUM
ejpam-7057	283	8	(	(	PUNCT
ejpam-7057	283	9	4	4	NUM
ejpam-7057	283	10	)	)	PUNCT
ejpam-7057	283	11	(	(	PUNCT
ejpam-7057	283	12	2025	2025	NUM
ejpam-7057	283	13	)	)	PUNCT
ejpam-7057	283	14	,	,	PUNCT
ejpam-7057	283	15	7057	7057	NUM
ejpam-7057	283	16	9	9	NUM
ejpam-7057	283	17	of	of	ADP
ejpam-7057	283	18	11	11	NUM
ejpam-7057	283	19	proof	proof	NOUN
ejpam-7057	283	20	.	.	PUNCT
ejpam-7057	284	1	proof	proof	NOUN
ejpam-7057	284	2	follows	follow	VERB
ejpam-7057	284	3	directly	directly	ADV
ejpam-7057	284	4	follows	follow	VERB
ejpam-7057	284	5	from	from	ADP
ejpam-7057	284	6	theorem	theorem	ADJ
ejpam-7057	284	7	4	4	NUM
ejpam-7057	284	8	.	.	NOUN
ejpam-7057	284	9	4	4	NUM
ejpam-7057	284	10	.	.	X
ejpam-7057	284	11	conclusion	conclusion	NOUN
ejpam-7057	284	12	this	this	DET
ejpam-7057	284	13	paper	paper	NOUN
ejpam-7057	284	14	explores	explore	VERB
ejpam-7057	284	15	the	the	DET
ejpam-7057	284	16	issue	issue	NOUN
ejpam-7057	284	17	of	of	ADP
ejpam-7057	284	18	nilpotent	nilpotent	ADJ
ejpam-7057	284	19	intuitionistic	intuitionistic	ADJ
ejpam-7057	284	20	fuzzy	fuzzy	ADJ
ejpam-7057	284	21	matrices	matrix	NOUN
ejpam-7057	284	22	.	.	PUNCT
ejpam-7057	285	1	since	since	SCONJ
ejpam-7057	285	2	all	all	DET
ejpam-7057	285	3	intuitionistic	intuitionistic	ADJ
ejpam-7057	285	4	fuzzy	fuzzy	ADJ
ejpam-7057	285	5	matrices	matrix	NOUN
ejpam-7057	285	6	have	have	AUX
ejpam-7057	285	7	eigenvalues	eigenvalue	NOUN
ejpam-7057	285	8	,	,	PUNCT
ejpam-7057	285	9	we	we	PRON
ejpam-7057	285	10	examined	examine	VERB
ejpam-7057	285	11	their	their	PRON
ejpam-7057	285	12	potential	potential	ADJ
ejpam-7057	285	13	sets	set	NOUN
ejpam-7057	285	14	and	and	CCONJ
ejpam-7057	285	15	concluded	conclude	VERB
ejpam-7057	285	16	that	that	SCONJ
ejpam-7057	285	17	they	they	PRON
ejpam-7057	285	18	could	could	AUX
ejpam-7057	285	19	be	be	AUX
ejpam-7057	285	20	divided	divide	VERB
ejpam-7057	285	21	into	into	ADP
ejpam-7057	285	22	three	three	NUM
ejpam-7057	285	23	categories	category	NOUN
ejpam-7057	285	24	:	:	PUNCT
ejpam-7057	285	25	〈0	〈0	ADJ
ejpam-7057	285	26	,	,	PUNCT
ejpam-7057	285	27	1	1	NUM
ejpam-7057	285	28	〉	〉	NUM
ejpam-7057	285	29	,	,	PUNCT
ejpam-7057	285	30	(	(	PUNCT
ejpam-7057	285	31	0	0	NUM
ejpam-7057	285	32	,	,	PUNCT
ejpam-7057	285	33	1	1	NUM
ejpam-7057	285	34	]	]	PUNCT
ejpam-7057	285	35	,	,	PUNCT
ejpam-7057	286	1	[	[	X
ejpam-7057	286	2	0	0	NUM
ejpam-7057	286	3	,	,	PUNCT
ejpam-7057	286	4	1	1	NUM
ejpam-7057	286	5	]	]	PUNCT
ejpam-7057	286	6	,	,	PUNCT
ejpam-7057	286	7	.	.	PUNCT
ejpam-7057	287	1	it	it	PRON
ejpam-7057	287	2	is	be	AUX
ejpam-7057	287	3	also	also	ADV
ejpam-7057	287	4	demonstrated	demonstrate	VERB
ejpam-7057	287	5	that	that	SCONJ
ejpam-7057	287	6	nilpotence	nilpotence	NOUN
ejpam-7057	287	7	is	be	AUX
ejpam-7057	287	8	specially	specially	ADV
ejpam-7057	287	9	defined	define	VERB
ejpam-7057	287	10	by	by	ADP
ejpam-7057	287	11	the	the	DET
ejpam-7057	287	12	eigenvalue	eigenvalue	PROPN
ejpam-7057	287	13	〈	〈	PROPN
ejpam-7057	287	14	0	0	NUM
ejpam-7057	287	15	,	,	PUNCT
ejpam-7057	287	16	1	1	NUM
ejpam-7057	287	17	〉	〉	NUM
ejpam-7057	287	18	.	.	PUNCT
ejpam-7057	288	1	with	with	ADP
ejpam-7057	288	2	finite	finite	ADJ
ejpam-7057	288	3	product	product	NOUN
ejpam-7057	288	4	of	of	ADP
ejpam-7057	288	5	ifms	ifms	NOUN
ejpam-7057	288	6	,	,	PUNCT
ejpam-7057	288	7	the	the	DET
ejpam-7057	288	8	notion	notion	NOUN
ejpam-7057	288	9	of	of	ADP
ejpam-7057	288	10	simultaneous	simultaneous	ADJ
ejpam-7057	288	11	nilpotence	nilpotence	NOUN
ejpam-7057	288	12	arises	arise	VERB
ejpam-7057	288	13	,	,	PUNCT
ejpam-7057	288	14	meaning	mean	VERB
ejpam-7057	288	15	the	the	DET
ejpam-7057	288	16	infinite	infinite	ADJ
ejpam-7057	288	17	products	product	NOUN
ejpam-7057	288	18	of	of	ADP
ejpam-7057	288	19	a	a	DET
ejpam-7057	288	20	finite	finite	ADJ
ejpam-7057	288	21	number	number	NOUN
ejpam-7057	288	22	of	of	ADP
ejpam-7057	288	23	such	such	ADJ
ejpam-7057	288	24	matrices	matrix	NOUN
ejpam-7057	288	25	strongly	strongly	ADV
ejpam-7057	288	26	converge	converge	VERB
ejpam-7057	288	27	to	to	ADP
ejpam-7057	288	28	the	the	DET
ejpam-7057	288	29	zero	zero	NUM
ejpam-7057	288	30	matrix	matrix	NOUN
ejpam-7057	288	31	,	,	PUNCT
ejpam-7057	288	32	this	this	DET
ejpam-7057	288	33	characteristic	characteristic	NOUN
ejpam-7057	288	34	is	be	AUX
ejpam-7057	288	35	further	far	ADV
ejpam-7057	288	36	defined	define	VERB
ejpam-7057	288	37	using	use	VERB
ejpam-7057	288	38	principal	principal	ADJ
ejpam-7057	288	39	minors	minor	NOUN
ejpam-7057	288	40	and	and	CCONJ
ejpam-7057	288	41	directed	directed	ADJ
ejpam-7057	288	42	graphs	graph	NOUN
ejpam-7057	288	43	.	.	PUNCT
ejpam-7057	289	1	the	the	DET
ejpam-7057	289	2	theoretical	theoretical	ADJ
ejpam-7057	289	3	findings	finding	NOUN
ejpam-7057	289	4	have	have	VERB
ejpam-7057	289	5	possible	possible	ADJ
ejpam-7057	289	6	applications	application	NOUN
ejpam-7057	289	7	in	in	ADP
ejpam-7057	289	8	multi	multi	ADJ
ejpam-7057	289	9	-	-	ADJ
ejpam-7057	289	10	criteria	criterion	NOUN
ejpam-7057	289	11	decision	decision	NOUN
ejpam-7057	289	12	-	-	PUNCT
ejpam-7057	289	13	making	making	NOUN
ejpam-7057	289	14	,	,	PUNCT
ejpam-7057	289	15	stability	stability	NOUN
ejpam-7057	289	16	analysis	analysis	NOUN
ejpam-7057	289	17	of	of	ADP
ejpam-7057	289	18	fuzzy	fuzzy	ADJ
ejpam-7057	289	19	dynamical	dynamical	ADJ
ejpam-7057	289	20	systems	system	NOUN
ejpam-7057	289	21	,	,	PUNCT
ejpam-7057	289	22	network	network	NOUN
ejpam-7057	289	23	modeling	modeling	NOUN
ejpam-7057	289	24	,	,	PUNCT
ejpam-7057	289	25	control	control	NOUN
ejpam-7057	289	26	theory	theory	NOUN
ejpam-7057	289	27	,	,	PUNCT
ejpam-7057	289	28	and	and	CCONJ
ejpam-7057	289	29	intelligent	intelligent	ADJ
ejpam-7057	289	30	decision	decision	NOUN
ejpam-7057	289	31	-	-	PUNCT
ejpam-7057	289	32	support	support	NOUN
ejpam-7057	289	33	systems	system	NOUN
ejpam-7057	289	34	,	,	PUNCT
ejpam-7057	289	35	where	where	SCONJ
ejpam-7057	289	36	uncertainty	uncertainty	NOUN
ejpam-7057	289	37	and	and	CCONJ
ejpam-7057	289	38	convergence	convergence	NOUN
ejpam-7057	289	39	phenomena	phenomenon	NOUN
ejpam-7057	289	40	play	play	VERB
ejpam-7057	289	41	a	a	DET
ejpam-7057	289	42	dominant	dominant	ADJ
ejpam-7057	289	43	role	role	NOUN
ejpam-7057	289	44	.	.	PUNCT
ejpam-7057	290	1	future	future	ADJ
ejpam-7057	290	2	work	work	NOUN
ejpam-7057	290	3	could	could	AUX
ejpam-7057	290	4	generalize	generalize	VERB
ejpam-7057	290	5	these	these	DET
ejpam-7057	290	6	results	result	NOUN
ejpam-7057	290	7	to	to	ADP
ejpam-7057	290	8	higher	higher	ADV
ejpam-7057	290	9	-	-	PUNCT
ejpam-7057	290	10	dimensional	dimensional	ADJ
ejpam-7057	290	11	fuzzy	fuzzy	ADJ
ejpam-7057	290	12	structures	structure	NOUN
ejpam-7057	290	13	,	,	PUNCT
ejpam-7057	290	14	study	study	VERB
ejpam-7057	290	15	computational	computational	ADJ
ejpam-7057	290	16	algorithms	algorithm	NOUN
ejpam-7057	290	17	for	for	ADP
ejpam-7057	290	18	determining	determine	VERB
ejpam-7057	290	19	simultaneous	simultaneous	ADJ
ejpam-7057	290	20	nilpotence	nilpotence	NOUN
ejpam-7057	290	21	,	,	PUNCT
ejpam-7057	290	22	and	and	CCONJ
ejpam-7057	290	23	examine	examine	VERB
ejpam-7057	290	24	practical	practical	ADJ
ejpam-7057	290	25	applications	application	NOUN
ejpam-7057	290	26	in	in	ADP
ejpam-7057	290	27	medical	medical	ADJ
ejpam-7057	290	28	diagnosis	diagnosis	NOUN
ejpam-7057	290	29	,	,	PUNCT
ejpam-7057	290	30	supply	supply	NOUN
ejpam-7057	290	31	chain	chain	NOUN
ejpam-7057	290	32	management	management	NOUN
ejpam-7057	290	33	,	,	PUNCT
ejpam-7057	290	34	and	and	CCONJ
ejpam-7057	290	35	machine	machine	NOUN
ejpam-7057	290	36	learning	learning	NOUN
ejpam-7057	290	37	.	.	PUNCT
ejpam-7057	291	1	acknowledgements	acknowledgement	VERB
ejpam-7057	291	2	the	the	DET
ejpam-7057	291	3	author	author	NOUN
ejpam-7057	291	4	s.	s.	PROPN
ejpam-7057	291	5	aljohani	aljohani	PROPN
ejpam-7057	291	6	would	would	AUX
ejpam-7057	291	7	like	like	VERB
ejpam-7057	291	8	to	to	PART
ejpam-7057	291	9	thank	thank	VERB
ejpam-7057	291	10	prince	prince	PROPN
ejpam-7057	291	11	sultan	sultan	PROPN
ejpam-7057	291	12	university	university	PROPN
ejpam-7057	291	13	for	for	ADP
ejpam-7057	291	14	paying	pay	VERB
ejpam-7057	291	15	the	the	DET
ejpam-7057	291	16	apc	apc	NOUN
ejpam-7057	291	17	and	and	CCONJ
ejpam-7057	291	18	for	for	ADP
ejpam-7057	291	19	the	the	DET
ejpam-7057	291	20	support	support	NOUN
ejpam-7057	291	21	through	through	ADP
ejpam-7057	291	22	the	the	DET
ejpam-7057	291	23	tas	tas	PROPN
ejpam-7057	291	24	research	research	NOUN
ejpam-7057	291	25	lab	lab	NOUN
ejpam-7057	291	26	.	.	PUNCT
ejpam-7057	292	1	references	reference	NOUN
ejpam-7057	292	2	[	[	X
ejpam-7057	292	3	1	1	NUM
ejpam-7057	292	4	]	]	PUNCT
ejpam-7057	292	5	l.	l.	PROPN
ejpam-7057	292	6	a.	a.	PROPN
ejpam-7057	292	7	zadeh	zadeh	PROPN
ejpam-7057	292	8	.	.	PUNCT
ejpam-7057	293	1	fuzzy	fuzzy	ADJ
ejpam-7057	293	2	sets	set	NOUN
ejpam-7057	293	3	.	.	PUNCT
ejpam-7057	294	1	journal	journal	NOUN
ejpam-7057	294	2	of	of	ADP
ejpam-7057	294	3	information	information	NOUN
ejpam-7057	294	4	and	and	CCONJ
ejpam-7057	294	5	control	control	NOUN
ejpam-7057	294	6	,	,	PUNCT
ejpam-7057	294	7	8(3):338–353	8(3):338–353	NUM
ejpam-7057	294	8	,	,	PUNCT
ejpam-7057	294	9	1965	1965	NUM
ejpam-7057	294	10	.	.	PUNCT
ejpam-7057	295	1	[	[	X
ejpam-7057	295	2	2	2	NUM
ejpam-7057	295	3	]	]	PUNCT
ejpam-7057	295	4	r.	r.	PROPN
ejpam-7057	295	5	h.	h.	PROPN
ejpam-7057	295	6	kim	kim	PROPN
ejpam-7057	295	7	and	and	CCONJ
ejpam-7057	295	8	f.	f.	PROPN
ejpam-7057	295	9	w.	w.	PROPN
ejpam-7057	295	10	roush	roush	PROPN
ejpam-7057	295	11	.	.	PUNCT
ejpam-7057	296	1	generalized	generalize	VERB
ejpam-7057	296	2	fuzzy	fuzzy	ADJ
ejpam-7057	296	3	matrices	matrix	NOUN
ejpam-7057	296	4	.	.	PUNCT
ejpam-7057	297	1	fuzzy	fuzzy	ADJ
ejpam-7057	297	2	sets	set	NOUN
ejpam-7057	297	3	and	and	CCONJ
ejpam-7057	297	4	systems	system	NOUN
ejpam-7057	297	5	,	,	PUNCT
ejpam-7057	297	6	4:293–315	4:293–315	PROPN
ejpam-7057	297	7	,	,	PUNCT
ejpam-7057	297	8	1980	1980	NUM
ejpam-7057	297	9	.	.	PUNCT
ejpam-7057	298	1	[	[	X
ejpam-7057	298	2	3	3	X
ejpam-7057	298	3	]	]	PUNCT
ejpam-7057	298	4	m.	m.	NOUN
ejpam-7057	298	5	g.	g.	PROPN
ejpam-7057	298	6	thomason	thomason	PROPN
ejpam-7057	298	7	.	.	PUNCT
ejpam-7057	299	1	convergence	convergence	NOUN
ejpam-7057	299	2	of	of	ADP
ejpam-7057	299	3	powers	power	NOUN
ejpam-7057	299	4	of	of	ADP
ejpam-7057	299	5	a	a	DET
ejpam-7057	299	6	fuzzy	fuzzy	ADJ
ejpam-7057	299	7	matrix	matrix	NOUN
ejpam-7057	299	8	.	.	PUNCT
ejpam-7057	300	1	journal	journal	NOUN
ejpam-7057	300	2	of	of	ADP
ejpam-7057	300	3	mathematical	mathematical	ADJ
ejpam-7057	300	4	analysis	analysis	NOUN
ejpam-7057	300	5	and	and	CCONJ
ejpam-7057	300	6	applications	application	NOUN
ejpam-7057	300	7	,	,	PUNCT
ejpam-7057	300	8	57:476–480	57:476–480	NUM
ejpam-7057	300	9	,	,	PUNCT
ejpam-7057	300	10	1977	1977	NUM
ejpam-7057	300	11	.	.	PUNCT
ejpam-7057	301	1	[	[	X
ejpam-7057	301	2	4	4	NUM
ejpam-7057	301	3	]	]	PUNCT
ejpam-7057	301	4	a.	a.	PROPN
ejpam-7057	301	5	r.	r.	PROPN
ejpam-7057	301	6	meenakshi	meenakshi	PROPN
ejpam-7057	301	7	.	.	PUNCT
ejpam-7057	302	1	fuzzy	fuzzy	ADJ
ejpam-7057	302	2	matrix	matrix	NOUN
ejpam-7057	302	3	theory	theory	NOUN
ejpam-7057	302	4	and	and	CCONJ
ejpam-7057	302	5	applications	application	NOUN
ejpam-7057	302	6	.	.	PUNCT
ejpam-7057	303	1	mjp	mjp	PROPN
ejpam-7057	303	2	publishers	publisher	NOUN
ejpam-7057	303	3	,	,	PUNCT
ejpam-7057	303	4	chennai	chennai	NOUN
ejpam-7057	303	5	,	,	PUNCT
ejpam-7057	303	6	2008	2008	NUM
ejpam-7057	303	7	.	.	PUNCT
ejpam-7057	304	1	[	[	X
ejpam-7057	304	2	5	5	X
ejpam-7057	304	3	]	]	PUNCT
ejpam-7057	304	4	z.	z.	PROPN
ejpam-7057	304	5	t.	t.	PROPN
ejpam-7057	304	6	ran	run	VERB
ejpam-7057	304	7	and	and	CCONJ
ejpam-7057	304	8	d.	d.	PROPN
ejpam-7057	304	9	f.	f.	PROPN
ejpam-7057	304	10	liu	liu	PROPN
ejpam-7057	304	11	.	.	PUNCT
ejpam-7057	305	1	on	on	ADP
ejpam-7057	305	2	the	the	DET
ejpam-7057	305	3	oscillating	oscillate	VERB
ejpam-7057	305	4	power	power	NOUN
ejpam-7057	305	5	sequence	sequence	NOUN
ejpam-7057	305	6	of	of	ADP
ejpam-7057	305	7	a	a	DET
ejpam-7057	305	8	fuzzy	fuzzy	ADJ
ejpam-7057	305	9	matrix	matrix	NOUN
ejpam-7057	305	10	.	.	PUNCT
ejpam-7057	306	1	fuzzy	fuzzy	ADJ
ejpam-7057	306	2	sets	set	NOUN
ejpam-7057	306	3	and	and	CCONJ
ejpam-7057	306	4	systems	system	NOUN
ejpam-7057	306	5	,	,	PUNCT
ejpam-7057	306	6	93:75–85	93:75–85	NUM
ejpam-7057	306	7	,	,	PUNCT
ejpam-7057	306	8	1998	1998	NUM
ejpam-7057	306	9	.	.	PUNCT
ejpam-7057	307	1	[	[	X
ejpam-7057	307	2	6	6	X
ejpam-7057	307	3	]	]	PUNCT
ejpam-7057	307	4	j.	j.	PROPN
ejpam-7057	307	5	j.	j.	PROPN
ejpam-7057	307	6	buckley	buckley	PROPN
ejpam-7057	307	7	.	.	PUNCT
ejpam-7057	308	1	note	note	NOUN
ejpam-7057	308	2	on	on	ADP
ejpam-7057	308	3	convergence	convergence	NOUN
ejpam-7057	308	4	of	of	ADP
ejpam-7057	308	5	powers	power	NOUN
ejpam-7057	308	6	of	of	ADP
ejpam-7057	308	7	a	a	DET
ejpam-7057	308	8	fuzzy	fuzzy	ADJ
ejpam-7057	308	9	matrix	matrix	NOUN
ejpam-7057	308	10	.	.	PUNCT
ejpam-7057	309	1	fuzzy	fuzzy	ADJ
ejpam-7057	309	2	sets	set	NOUN
ejpam-7057	309	3	and	and	CCONJ
ejpam-7057	309	4	systems	system	NOUN
ejpam-7057	309	5	,	,	PUNCT
ejpam-7057	309	6	121:363–364	121:363–364	NUM
ejpam-7057	309	7	,	,	PUNCT
ejpam-7057	309	8	2001	2001	NUM
ejpam-7057	309	9	.	.	PUNCT
ejpam-7057	310	1	[	[	X
ejpam-7057	310	2	7	7	X
ejpam-7057	310	3	]	]	X
ejpam-7057	310	4	d.	d.	PROPN
ejpam-7057	310	5	a.	a.	PROPN
ejpam-7057	310	6	gregory	gregory	PROPN
ejpam-7057	310	7	,	,	PUNCT
ejpam-7057	310	8	s.	s.	PROPN
ejpam-7057	310	9	kirkland	kirkland	PROPN
ejpam-7057	310	10	,	,	PUNCT
ejpam-7057	310	11	and	and	CCONJ
ejpam-7057	310	12	n.	n.	PROPN
ejpam-7057	310	13	j.	j.	PROPN
ejpam-7057	310	14	pullman	pullman	PROPN
ejpam-7057	310	15	.	.	PUNCT
ejpam-7057	311	1	power	power	NOUN
ejpam-7057	311	2	convergent	convergent	NOUN
ejpam-7057	311	3	boolean	boolean	ADJ
ejpam-7057	311	4	matrices	matrix	NOUN
ejpam-7057	311	5	.	.	PUNCT
ejpam-7057	312	1	linear	linear	ADJ
ejpam-7057	312	2	algebra	algebra	NOUN
ejpam-7057	312	3	and	and	CCONJ
ejpam-7057	312	4	its	its	PRON
ejpam-7057	312	5	applications	application	NOUN
ejpam-7057	312	6	,	,	PUNCT
ejpam-7057	312	7	179:105–117	179:105–117	NUM
ejpam-7057	312	8	,	,	PUNCT
ejpam-7057	312	9	1993	1993	NUM
ejpam-7057	312	10	.	.	PUNCT
ejpam-7057	313	1	[	[	X
ejpam-7057	313	2	8	8	X
ejpam-7057	313	3	]	]	X
ejpam-7057	313	4	h.	h.	NOUN
ejpam-7057	313	5	hashimoto	hashimoto	NOUN
ejpam-7057	313	6	.	.	PUNCT
ejpam-7057	314	1	convergence	convergence	NOUN
ejpam-7057	314	2	of	of	ADP
ejpam-7057	314	3	powers	power	NOUN
ejpam-7057	314	4	of	of	ADP
ejpam-7057	314	5	a	a	DET
ejpam-7057	314	6	fuzzy	fuzzy	ADJ
ejpam-7057	314	7	transitive	transitive	ADJ
ejpam-7057	314	8	matrix	matrix	NOUN
ejpam-7057	314	9	.	.	PUNCT
ejpam-7057	315	1	fuzzy	fuzzy	ADJ
ejpam-7057	315	2	sets	set	NOUN
ejpam-7057	315	3	and	and	CCONJ
ejpam-7057	315	4	systems	system	NOUN
ejpam-7057	315	5	,	,	PUNCT
ejpam-7057	315	6	9:153–160	9:153–160	NUM
ejpam-7057	315	7	,	,	PUNCT
ejpam-7057	315	8	1983	1983	NUM
ejpam-7057	315	9	.	.	PUNCT
ejpam-7057	316	1	[	[	X
ejpam-7057	316	2	9	9	NUM
ejpam-7057	316	3	]	]	X
ejpam-7057	316	4	l.	l.	PROPN
ejpam-7057	316	5	jian	jian	PROPN
ejpam-7057	316	6	-	-	PUNCT
ejpam-7057	316	7	xin	xin	PROPN
ejpam-7057	316	8	.	.	PUNCT
ejpam-7057	317	1	some	some	DET
ejpam-7057	317	2	results	result	NOUN
ejpam-7057	317	3	on	on	ADP
ejpam-7057	317	4	the	the	DET
ejpam-7057	317	5	nilpotent	nilpotent	ADJ
ejpam-7057	317	6	fuzzy	fuzzy	ADJ
ejpam-7057	317	7	matrices	matrix	NOUN
ejpam-7057	317	8	.	.	PUNCT
ejpam-7057	318	1	fuzzy	fuzzy	ADJ
ejpam-7057	318	2	systems	system	NOUN
ejpam-7057	318	3	and	and	CCONJ
ejpam-7057	318	4	mathematics	mathematic	NOUN
ejpam-7057	318	5	,	,	PUNCT
ejpam-7057	318	6	1:52–55	1:52–55	NUM
ejpam-7057	318	7	,	,	PUNCT
ejpam-7057	318	8	1989	1989	NUM
ejpam-7057	318	9	.	.	PUNCT
ejpam-7057	319	1	s.	s.	PROPN
ejpam-7057	319	2	aljohani	aljohani	PROPN
ejpam-7057	319	3	,	,	PUNCT
ejpam-7057	319	4	r.	r.	PROPN
ejpam-7057	319	5	a.	a.	NOUN
ejpam-7057	319	6	padder	padder	PROPN
ejpam-7057	319	7	,	,	PUNCT
ejpam-7057	319	8	p.	p.	PROPN
ejpam-7057	319	9	devshali	devshali	PROPN
ejpam-7057	319	10	/	/	SYM
ejpam-7057	319	11	eur	eur	PROPN
ejpam-7057	319	12	.	.	PUNCT
ejpam-7057	320	1	j.	j.	PROPN
ejpam-7057	320	2	pure	pure	PROPN
ejpam-7057	320	3	appl	appl	PROPN
ejpam-7057	320	4	.	.	PROPN
ejpam-7057	320	5	math	math	PROPN
ejpam-7057	320	6	,	,	PUNCT
ejpam-7057	320	7	18	18	NUM
ejpam-7057	320	8	(	(	PUNCT
ejpam-7057	320	9	4	4	NUM
ejpam-7057	320	10	)	)	PUNCT
ejpam-7057	320	11	(	(	PUNCT
ejpam-7057	320	12	2025	2025	NUM
ejpam-7057	320	13	)	)	PUNCT
ejpam-7057	320	14	,	,	PUNCT
ejpam-7057	320	15	7057	7057	NUM
ejpam-7057	320	16	10	10	NUM
ejpam-7057	320	17	of	of	ADP
ejpam-7057	320	18	11	11	NUM
ejpam-7057	320	19	[	[	SYM
ejpam-7057	320	20	10	10	NUM
ejpam-7057	320	21	]	]	PUNCT
ejpam-7057	320	22	m.	m.	NOUN
ejpam-7057	320	23	pal	pal	NOUN
ejpam-7057	320	24	,	,	PUNCT
ejpam-7057	320	25	s.	s.	PROPN
ejpam-7057	320	26	k.	k.	PROPN
ejpam-7057	320	27	khan	khan	PROPN
ejpam-7057	320	28	,	,	PUNCT
ejpam-7057	320	29	and	and	CCONJ
ejpam-7057	320	30	a.	a.	NOUN
ejpam-7057	320	31	k.	k.	PROPN
ejpam-7057	320	32	shyamal	shyamal	PROPN
ejpam-7057	320	33	.	.	PUNCT
ejpam-7057	321	1	intuitionistic	intuitionistic	ADJ
ejpam-7057	321	2	fuzzy	fuzzy	ADJ
ejpam-7057	321	3	matrices	matrix	NOUN
ejpam-7057	321	4	.	.	PUNCT
ejpam-7057	322	1	notes	note	NOUN
ejpam-7057	322	2	on	on	ADP
ejpam-7057	322	3	intuitionistic	intuitionistic	ADJ
ejpam-7057	322	4	fuzzy	fuzzy	ADJ
ejpam-7057	322	5	sets	set	NOUN
ejpam-7057	322	6	,	,	PUNCT
ejpam-7057	322	7	8(2):51–62	8(2):51–62	NUM
ejpam-7057	322	8	,	,	PUNCT
ejpam-7057	322	9	2002	2002	NUM
ejpam-7057	322	10	.	.	PUNCT
ejpam-7057	323	1	[	[	X
ejpam-7057	323	2	11	11	NUM
ejpam-7057	323	3	]	]	PUNCT
ejpam-7057	323	4	m.	m.	NOUN
ejpam-7057	323	5	pal	pal	NOUN
ejpam-7057	323	6	and	and	CCONJ
ejpam-7057	323	7	s.	s.	PROPN
ejpam-7057	323	8	k.	k.	PROPN
ejpam-7057	323	9	khan	khan	PROPN
ejpam-7057	323	10	.	.	PUNCT
ejpam-7057	324	1	some	some	DET
ejpam-7057	324	2	operations	operation	NOUN
ejpam-7057	324	3	on	on	ADP
ejpam-7057	324	4	intuitionistic	intuitionistic	ADJ
ejpam-7057	324	5	fuzzy	fuzzy	ADJ
ejpam-7057	324	6	matrices	matrix	NOUN
ejpam-7057	324	7	.	.	PUNCT
ejpam-7057	324	8	presented	present	VERB
ejpam-7057	324	9	in	in	ADP
ejpam-7057	324	10	international	international	ADJ
ejpam-7057	324	11	conference	conference	NOUN
ejpam-7057	324	12	on	on	ADP
ejpam-7057	324	13	analysis	analysis	NOUN
ejpam-7057	324	14	and	and	CCONJ
ejpam-7057	324	15	discrete	discrete	ADJ
ejpam-7057	324	16	structures	structure	NOUN
ejpam-7057	324	17	,	,	PUNCT
ejpam-7057	324	18	indian	indian	PROPN
ejpam-7057	324	19	institute	institute	PROPN
ejpam-7057	324	20	of	of	ADP
ejpam-7057	324	21	technology	technology	PROPN
ejpam-7057	324	22	,	,	PUNCT
ejpam-7057	324	23	kharagpur	kharagpur	PROPN
ejpam-7057	324	24	,	,	PUNCT
ejpam-7057	324	25	india	india	PROPN
ejpam-7057	324	26	,	,	PUNCT
ejpam-7057	324	27	december	december	PROPN
ejpam-7057	324	28	22–24	22–24	NUM
ejpam-7057	324	29	2002	2002	NUM
ejpam-7057	324	30	.	.	PUNCT
ejpam-7057	325	1	[	[	X
ejpam-7057	325	2	12	12	NUM
ejpam-7057	325	3	]	]	PUNCT
ejpam-7057	325	4	m.	m.	NOUN
ejpam-7057	325	5	bhowmik	bhowmik	ADJ
ejpam-7057	325	6	and	and	CCONJ
ejpam-7057	325	7	m.	m.	NOUN
ejpam-7057	325	8	pal	pal	NOUN
ejpam-7057	325	9	.	.	PUNCT
ejpam-7057	326	1	some	some	DET
ejpam-7057	326	2	results	result	NOUN
ejpam-7057	326	3	on	on	ADP
ejpam-7057	326	4	intuitionistic	intuitionistic	ADJ
ejpam-7057	326	5	fuzzy	fuzzy	ADJ
ejpam-7057	326	6	matrices	matrix	NOUN
ejpam-7057	326	7	and	and	CCONJ
ejpam-7057	326	8	intuitionistic	intuitionistic	ADJ
ejpam-7057	326	9	circulant	circulant	ADJ
ejpam-7057	326	10	fuzzy	fuzzy	ADJ
ejpam-7057	326	11	matrices	matrix	NOUN
ejpam-7057	326	12	.	.	PUNCT
ejpam-7057	327	1	international	international	ADJ
ejpam-7057	327	2	journal	journal	PROPN
ejpam-7057	327	3	of	of	ADP
ejpam-7057	327	4	mathematical	mathematical	ADJ
ejpam-7057	327	5	sciences	science	NOUN
ejpam-7057	327	6	,	,	PUNCT
ejpam-7057	327	7	7(1	7(1	NUM
ejpam-7057	327	8	-	-	SYM
ejpam-7057	327	9	2):177–192	2):177–192	NUM
ejpam-7057	327	10	,	,	PUNCT
ejpam-7057	327	11	2008	2008	NUM
ejpam-7057	327	12	.	.	PUNCT
ejpam-7057	328	1	[	[	X
ejpam-7057	328	2	13	13	NUM
ejpam-7057	328	3	]	]	X
ejpam-7057	328	4	r.	r.	PROPN
ejpam-7057	328	5	pradhan	pradhan	PROPN
ejpam-7057	328	6	and	and	CCONJ
ejpam-7057	328	7	m.	m.	PROPN
ejpam-7057	328	8	pal	pal	PROPN
ejpam-7057	328	9	.	.	PUNCT
ejpam-7057	329	1	convergence	convergence	NOUN
ejpam-7057	329	2	of	of	ADP
ejpam-7057	329	3	maxarithmetic	maxarithmetic	ADJ
ejpam-7057	329	4	mean	mean	ADJ
ejpam-7057	329	5	-	-	PUNCT
ejpam-7057	329	6	minarithmetic	minarithmetic	ADJ
ejpam-7057	329	7	mean	mean	ADJ
ejpam-7057	329	8	powers	power	NOUN
ejpam-7057	329	9	of	of	ADP
ejpam-7057	329	10	intuitionistic	intuitionistic	ADJ
ejpam-7057	329	11	fuzzy	fuzzy	ADJ
ejpam-7057	329	12	matrices	matrix	NOUN
ejpam-7057	329	13	.	.	PUNCT
ejpam-7057	330	1	international	international	ADJ
ejpam-7057	330	2	journal	journal	PROPN
ejpam-7057	330	3	of	of	ADP
ejpam-7057	330	4	fuzzy	fuzzy	ADJ
ejpam-7057	330	5	mathematical	mathematical	ADJ
ejpam-7057	330	6	archive	archive	NOUN
ejpam-7057	330	7	,	,	PUNCT
ejpam-7057	330	8	2:58–69	2:58–69	NUM
ejpam-7057	330	9	,	,	PUNCT
ejpam-7057	330	10	2013	2013	NUM
ejpam-7057	330	11	.	.	PUNCT
ejpam-7057	331	1	[	[	X
ejpam-7057	331	2	14	14	NUM
ejpam-7057	331	3	]	]	X
ejpam-7057	331	4	y.	y.	PROPN
ejpam-7057	331	5	y.	y.	PROPN
ejpam-7057	331	6	lur	lur	PROPN
ejpam-7057	331	7	,	,	PUNCT
ejpam-7057	331	8	y.	y.	PROPN
ejpam-7057	331	9	k.	k.	PROPN
ejpam-7057	331	10	wu	wu	PROPN
ejpam-7057	331	11	,	,	PUNCT
ejpam-7057	331	12	and	and	CCONJ
ejpam-7057	331	13	s.	s.	PROPN
ejpam-7057	331	14	m.	m.	PROPN
ejpam-7057	331	15	guu	guu	PROPN
ejpam-7057	331	16	.	.	PUNCT
ejpam-7057	332	1	convergence	convergence	NOUN
ejpam-7057	332	2	of	of	ADP
ejpam-7057	332	3	maxarithmetic	maxarithmetic	ADJ
ejpam-7057	332	4	mean	mean	ADJ
ejpam-7057	332	5	power	power	NOUN
ejpam-7057	332	6	of	of	ADP
ejpam-7057	332	7	a	a	DET
ejpam-7057	332	8	fuzzy	fuzzy	ADJ
ejpam-7057	332	9	matrix	matrix	NOUN
ejpam-7057	332	10	.	.	PUNCT
ejpam-7057	333	1	fuzzy	fuzzy	ADJ
ejpam-7057	333	2	sets	set	NOUN
ejpam-7057	333	3	and	and	CCONJ
ejpam-7057	333	4	systems	system	NOUN
ejpam-7057	333	5	,	,	PUNCT
ejpam-7057	333	6	158:2516–2522	158:2516–2522	NUM
ejpam-7057	333	7	,	,	PUNCT
ejpam-7057	333	8	2007	2007	NUM
ejpam-7057	333	9	.	.	PUNCT
ejpam-7057	334	1	[	[	X
ejpam-7057	334	2	15	15	NUM
ejpam-7057	334	3	]	]	X
ejpam-7057	334	4	s.	s.	PROPN
ejpam-7057	334	5	a.	a.	PROPN
ejpam-7057	334	6	wani	wani	PROPN
ejpam-7057	334	7	,	,	PUNCT
ejpam-7057	334	8	m.	m.	NOUN
ejpam-7057	334	9	zayed	zayed	PROPN
ejpam-7057	334	10	,	,	PUNCT
ejpam-7057	334	11	and	and	CCONJ
ejpam-7057	334	12	t.	t.	PROPN
ejpam-7057	334	13	nahid	nahid	PROPN
ejpam-7057	334	14	.	.	PUNCT
ejpam-7057	335	1	certain	certain	ADJ
ejpam-7057	335	2	properties	property	NOUN
ejpam-7057	335	3	and	and	CCONJ
ejpam-7057	335	4	characterizations	characterization	NOUN
ejpam-7057	335	5	of	of	ADP
ejpam-7057	335	6	a	a	DET
ejpam-7057	335	7	novel	novel	ADJ
ejpam-7057	335	8	family	family	NOUN
ejpam-7057	335	9	of	of	ADP
ejpam-7057	335	10	bivariate	bivariate	ADJ
ejpam-7057	335	11	2d	2d	NOUN
ejpam-7057	335	12	-	-	PUNCT
ejpam-7057	335	13	q	q	NOUN
ejpam-7057	335	14	hermite	hermite	ADJ
ejpam-7057	335	15	polynomials	polynomial	NOUN
ejpam-7057	335	16	.	.	PUNCT
ejpam-7057	336	1	open	open	ADJ
ejpam-7057	336	2	mathematics	mathematic	NOUN
ejpam-7057	336	3	,	,	PUNCT
ejpam-7057	336	4	22:20240080	22:20240080	NUM
ejpam-7057	336	5	,	,	PUNCT
ejpam-7057	336	6	2024	2024	NUM
ejpam-7057	336	7	.	.	PUNCT
ejpam-7057	337	1	[	[	X
ejpam-7057	337	2	16	16	NUM
ejpam-7057	337	3	]	]	PUNCT
ejpam-7057	337	4	m.	m.	NOUN
ejpam-7057	337	5	subzar	subzar	PROPN
ejpam-7057	337	6	,	,	PUNCT
ejpam-7057	337	7	t.	t.	PROPN
ejpam-7057	337	8	alqurashi	alqurashi	PROPN
ejpam-7057	337	9	,	,	PUNCT
ejpam-7057	337	10	d.	d.	PROPN
ejpam-7057	337	11	chandawat	chandawat	PROPN
ejpam-7057	337	12	,	,	PUNCT
ejpam-7057	337	13	s.	s.	PROPN
ejpam-7057	337	14	tamboli	tamboli	PROPN
ejpam-7057	337	15	,	,	PUNCT
ejpam-7057	337	16	t.	t.	PROPN
ejpam-7057	337	17	a.	a.	PROPN
ejpam-7057	337	18	raja	raja	PROPN
ejpam-7057	337	19	,	,	PUNCT
ejpam-7057	337	20	a.	a.	PROPN
ejpam-7057	337	21	k.	k.	PROPN
ejpam-7057	337	22	attri	attri	PROPN
ejpam-7057	337	23	,	,	PUNCT
ejpam-7057	337	24	and	and	CCONJ
ejpam-7057	337	25	s.	s.	PROPN
ejpam-7057	337	26	a.	a.	PROPN
ejpam-7057	337	27	wani	wani	PROPN
ejpam-7057	337	28	.	.	PUNCT
ejpam-7057	338	1	generalized	generalized	ADJ
ejpam-7057	338	2	robust	robust	ADJ
ejpam-7057	338	3	regression	regression	NOUN
ejpam-7057	338	4	techniques	technique	NOUN
ejpam-7057	338	5	and	and	CCONJ
ejpam-7057	338	6	adaptive	adaptive	ADJ
ejpam-7057	338	7	cluster	cluster	NOUN
ejpam-7057	338	8	sampling	sample	VERB
ejpam-7057	338	9	for	for	ADP
ejpam-7057	338	10	efficient	efficient	ADJ
ejpam-7057	338	11	estimation	estimation	NOUN
ejpam-7057	338	12	of	of	ADP
ejpam-7057	338	13	population	population	NOUN
ejpam-7057	338	14	mean	mean	VERB
ejpam-7057	338	15	in	in	ADP
ejpam-7057	338	16	case	case	NOUN
ejpam-7057	338	17	of	of	ADP
ejpam-7057	338	18	rare	rare	ADJ
ejpam-7057	338	19	and	and	CCONJ
ejpam-7057	338	20	clustered	clustered	ADJ
ejpam-7057	338	21	populations	population	NOUN
ejpam-7057	338	22	.	.	PUNCT
ejpam-7057	339	1	scientific	scientific	ADJ
ejpam-7057	339	2	reports	report	NOUN
ejpam-7057	339	3	,	,	PUNCT
ejpam-7057	339	4	15:2069	15:2069	NUM
ejpam-7057	339	5	,	,	PUNCT
ejpam-7057	339	6	2025	2025	NUM
ejpam-7057	339	7	.	.	PUNCT
ejpam-7057	340	1	[	[	X
ejpam-7057	340	2	17	17	NUM
ejpam-7057	340	3	]	]	X
ejpam-7057	340	4	s.	s.	PROPN
ejpam-7057	340	5	khan	khan	PROPN
ejpam-7057	340	6	and	and	CCONJ
ejpam-7057	340	7	s.	s.	PROPN
ejpam-7057	340	8	a.	a.	PROPN
ejpam-7057	340	9	wani	wani	PROPN
ejpam-7057	340	10	.	.	PUNCT
ejpam-7057	341	1	fractional	fractional	ADJ
ejpam-7057	341	2	calculus	calculus	NOUN
ejpam-7057	341	3	and	and	CCONJ
ejpam-7057	341	4	generalized	generalized	ADJ
ejpam-7057	341	5	forms	form	NOUN
ejpam-7057	341	6	of	of	ADP
ejpam-7057	341	7	special	special	ADJ
ejpam-7057	341	8	polynomials	polynomial	NOUN
ejpam-7057	341	9	associated	associate	VERB
ejpam-7057	341	10	with	with	ADP
ejpam-7057	341	11	appell	appell	PROPN
ejpam-7057	341	12	sequences	sequence	NOUN
ejpam-7057	341	13	.	.	PUNCT
ejpam-7057	342	1	georgian	georgian	PROPN
ejpam-7057	342	2	mathematical	mathematical	PROPN
ejpam-7057	342	3	journal	journal	NOUN
ejpam-7057	342	4	,	,	PUNCT
ejpam-7057	342	5	2019	2019	NUM
ejpam-7057	342	6	.	.	PUNCT
ejpam-7057	343	1	[	[	X
ejpam-7057	343	2	18	18	NUM
ejpam-7057	343	3	]	]	X
ejpam-7057	343	4	h.	h.	PROPN
ejpam-7057	343	5	y.	y.	PROPN
ejpam-7057	343	6	lee	lee	PROPN
ejpam-7057	343	7	and	and	CCONJ
ejpam-7057	343	8	n.	n.	PROPN
ejpam-7057	343	9	g.	g.	PROPN
ejpam-7057	343	10	jeong	jeong	PROPN
ejpam-7057	343	11	.	.	PUNCT
ejpam-7057	344	1	canonical	canonical	ADJ
ejpam-7057	344	2	form	form	NOUN
ejpam-7057	344	3	of	of	ADP
ejpam-7057	344	4	a	a	DET
ejpam-7057	344	5	transitive	transitive	ADJ
ejpam-7057	344	6	intuitionistic	intuitionistic	ADJ
ejpam-7057	344	7	fuzzy	fuzzy	ADJ
ejpam-7057	344	8	matrices	matrix	NOUN
ejpam-7057	344	9	.	.	PUNCT
ejpam-7057	345	1	honam	honam	PROPN
ejpam-7057	345	2	mathematical	mathematical	PROPN
ejpam-7057	345	3	journal	journal	PROPN
ejpam-7057	345	4	,	,	PUNCT
ejpam-7057	345	5	27(4):543–550	27(4):543–550	NUM
ejpam-7057	345	6	,	,	PUNCT
ejpam-7057	345	7	2005	2005	NUM
ejpam-7057	345	8	.	.	PUNCT
ejpam-7057	346	1	[	[	X
ejpam-7057	346	2	19	19	NUM
ejpam-7057	346	3	]	]	PUNCT
ejpam-7057	346	4	m.	m.	NOUN
ejpam-7057	346	5	bhowmik	bhowmik	ADJ
ejpam-7057	346	6	and	and	CCONJ
ejpam-7057	346	7	m.	m.	NOUN
ejpam-7057	346	8	pal	pal	NOUN
ejpam-7057	346	9	.	.	PUNCT
ejpam-7057	347	1	generalized	generalize	VERB
ejpam-7057	347	2	intuitionistic	intuitionistic	ADJ
ejpam-7057	347	3	fuzzy	fuzzy	ADJ
ejpam-7057	347	4	matrices	matrix	NOUN
ejpam-7057	347	5	.	.	PUNCT
ejpam-7057	348	1	far	far	PROPN
ejpam-7057	348	2	east	east	PROPN
ejpam-7057	348	3	journal	journal	PROPN
ejpam-7057	348	4	of	of	ADP
ejpam-7057	348	5	mathematical	mathematical	ADJ
ejpam-7057	348	6	sciences	science	NOUN
ejpam-7057	348	7	,	,	PUNCT
ejpam-7057	348	8	29(3):533–554	29(3):533–554	NUM
ejpam-7057	348	9	,	,	PUNCT
ejpam-7057	348	10	2008	2008	NUM
ejpam-7057	348	11	.	.	PUNCT
ejpam-7057	349	1	[	[	X
ejpam-7057	349	2	20	20	NUM
ejpam-7057	349	3	]	]	PUNCT
ejpam-7057	349	4	a.	a.	NOUN
ejpam-7057	349	5	k.	k.	PROPN
ejpam-7057	349	6	adak	adak	PROPN
ejpam-7057	349	7	,	,	PUNCT
ejpam-7057	349	8	m.	m.	NOUN
ejpam-7057	349	9	bhowmik	bhowmik	ADJ
ejpam-7057	349	10	,	,	PUNCT
ejpam-7057	349	11	and	and	CCONJ
ejpam-7057	349	12	m.	m.	NOUN
ejpam-7057	349	13	pal	pal	NOUN
ejpam-7057	349	14	.	.	PUNCT
ejpam-7057	350	1	some	some	DET
ejpam-7057	350	2	properties	property	NOUN
ejpam-7057	350	3	of	of	ADP
ejpam-7057	350	4	generalized	generalized	ADJ
ejpam-7057	350	5	intuitionistic	intuitionistic	ADJ
ejpam-7057	350	6	fuzzy	fuzzy	ADJ
ejpam-7057	350	7	nilpotent	nilpotent	ADJ
ejpam-7057	350	8	matrices	matrix	NOUN
ejpam-7057	350	9	and	and	CCONJ
ejpam-7057	350	10	its	its	PRON
ejpam-7057	350	11	some	some	DET
ejpam-7057	350	12	properties	property	NOUN
ejpam-7057	350	13	.	.	PUNCT
ejpam-7057	351	1	international	international	ADJ
ejpam-7057	351	2	journal	journal	NOUN
ejpam-7057	351	3	of	of	ADP
ejpam-7057	351	4	fuzzy	fuzzy	ADJ
ejpam-7057	351	5	information	information	NOUN
ejpam-7057	351	6	and	and	CCONJ
ejpam-7057	351	7	engineering	engineering	NOUN
ejpam-7057	351	8	,	,	PUNCT
ejpam-7057	351	9	4:371–387	4:371–387	NOUN
ejpam-7057	351	10	,	,	PUNCT
ejpam-7057	351	11	2012	2012	NUM
ejpam-7057	351	12	.	.	PUNCT
ejpam-7057	352	1	[	[	X
ejpam-7057	352	2	21	21	NUM
ejpam-7057	352	3	]	]	X
ejpam-7057	352	4	s.	s.	PROPN
ejpam-7057	352	5	mondal	mondal	PROPN
ejpam-7057	352	6	and	and	CCONJ
ejpam-7057	352	7	m.	m.	PROPN
ejpam-7057	352	8	pal	pal	PROPN
ejpam-7057	352	9	.	.	PUNCT
ejpam-7057	353	1	similarity	similarity	NOUN
ejpam-7057	353	2	relations	relation	NOUN
ejpam-7057	353	3	invertibility	invertibility	NOUN
ejpam-7057	353	4	and	and	CCONJ
ejpam-7057	353	5	eigenvalues	eigenvalue	NOUN
ejpam-7057	353	6	of	of	ADP
ejpam-7057	353	7	intuitionistic	intuitionistic	ADJ
ejpam-7057	353	8	fuzzy	fuzzy	ADJ
ejpam-7057	353	9	matrix	matrix	NOUN
ejpam-7057	353	10	.	.	PUNCT
ejpam-7057	354	1	international	international	ADJ
ejpam-7057	354	2	journal	journal	NOUN
ejpam-7057	354	3	of	of	ADP
ejpam-7057	354	4	fuzzy	fuzzy	ADJ
ejpam-7057	354	5	information	information	NOUN
ejpam-7057	354	6	and	and	CCONJ
ejpam-7057	354	7	engineering	engineering	NOUN
ejpam-7057	354	8	,	,	PUNCT
ejpam-7057	354	9	4:431–443	4:431–443	PROPN
ejpam-7057	354	10	,	,	PUNCT
ejpam-7057	354	11	2013	2013	NUM
ejpam-7057	354	12	.	.	PUNCT
ejpam-7057	355	1	[	[	X
ejpam-7057	355	2	22	22	NUM
ejpam-7057	355	3	]	]	X
ejpam-7057	355	4	r.	r.	PROPN
ejpam-7057	355	5	a.	a.	NOUN
ejpam-7057	355	6	padder	padder	PROPN
ejpam-7057	355	7	and	and	CCONJ
ejpam-7057	355	8	p.	p.	PROPN
ejpam-7057	355	9	murugadas	murugadas	PROPN
ejpam-7057	355	10	.	.	PUNCT
ejpam-7057	356	1	max	max	PROPN
ejpam-7057	356	2	-	-	PUNCT
ejpam-7057	356	3	max	max	PROPN
ejpam-7057	356	4	operation	operation	NOUN
ejpam-7057	356	5	on	on	ADP
ejpam-7057	356	6	intuitionistic	intuitionistic	ADJ
ejpam-7057	356	7	fuzzy	fuzzy	ADJ
ejpam-7057	356	8	matrix	matrix	NOUN
ejpam-7057	356	9	.	.	PUNCT
ejpam-7057	357	1	annals	annal	NOUN
ejpam-7057	357	2	of	of	ADP
ejpam-7057	357	3	fuzzy	fuzzy	ADJ
ejpam-7057	357	4	mathematics	mathematic	NOUN
ejpam-7057	357	5	and	and	CCONJ
ejpam-7057	357	6	informatics	informatic	NOUN
ejpam-7057	357	7	,	,	PUNCT
ejpam-7057	357	8	12(6):757–766	12(6):757–766	PROPN
ejpam-7057	357	9	,	,	PUNCT
ejpam-7057	357	10	2016	2016	NUM
ejpam-7057	357	11	.	.	PUNCT
ejpam-7057	358	1	[	[	X
ejpam-7057	358	2	23	23	NUM
ejpam-7057	358	3	]	]	PUNCT
ejpam-7057	358	4	p.	p.	NOUN
ejpam-7057	358	5	murugadas	murugadas	PROPN
ejpam-7057	358	6	and	and	CCONJ
ejpam-7057	358	7	r.	r.	PROPN
ejpam-7057	358	8	a.	a.	PROPN
ejpam-7057	358	9	padder	padder	PROPN
ejpam-7057	358	10	.	.	PUNCT
ejpam-7057	359	1	reduction	reduction	NOUN
ejpam-7057	359	2	of	of	ADP
ejpam-7057	359	3	an	an	DET
ejpam-7057	359	4	intuitionistic	intuitionistic	ADJ
ejpam-7057	359	5	fuzzy	fuzzy	ADJ
ejpam-7057	359	6	rectangular	rectangular	ADJ
ejpam-7057	359	7	matrix	matrix	NOUN
ejpam-7057	359	8	.	.	PUNCT
ejpam-7057	360	1	annamalai	annamalai	PROPN
ejpam-7057	360	2	university	university	PROPN
ejpam-7057	360	3	science	science	PROPN
ejpam-7057	360	4	journal	journal	PROPN
ejpam-7057	360	5	,	,	PUNCT
ejpam-7057	360	6	49:15–18	49:15–18	PROPN
ejpam-7057	360	7	,	,	PUNCT
ejpam-7057	360	8	2015	2015	NUM
ejpam-7057	360	9	.	.	PUNCT
ejpam-7057	361	1	[	[	X
ejpam-7057	361	2	24	24	NUM
ejpam-7057	361	3	]	]	X
ejpam-7057	361	4	r.	r.	PROPN
ejpam-7057	361	5	a.	a.	NOUN
ejpam-7057	361	6	padder	padder	PROPN
ejpam-7057	361	7	and	and	CCONJ
ejpam-7057	361	8	p.	p.	PROPN
ejpam-7057	361	9	murugadas	murugadas	PROPN
ejpam-7057	361	10	.	.	PUNCT
ejpam-7057	361	11	algorithm	algorithm	PROPN
ejpam-7057	361	12	for	for	ADP
ejpam-7057	361	13	controllable	controllable	ADJ
ejpam-7057	361	14	and	and	CCONJ
ejpam-7057	361	15	nilpotent	nilpotent	ADJ
ejpam-7057	361	16	intuitionistic	intuitionistic	ADJ
ejpam-7057	361	17	fuzzy	fuzzy	ADJ
ejpam-7057	361	18	matrices	matrix	NOUN
ejpam-7057	361	19	.	.	PUNCT
ejpam-7057	362	1	afrika	afrika	PROPN
ejpam-7057	362	2	matematika	matematika	PROPN
ejpam-7057	362	3	,	,	PUNCT
ejpam-7057	362	4	33:84	33:84	NUM
ejpam-7057	362	5	,	,	PUNCT
ejpam-7057	362	6	2022	2022	NUM
ejpam-7057	362	7	.	.	PUNCT
ejpam-7057	363	1	[	[	X
ejpam-7057	363	2	25	25	NUM
ejpam-7057	363	3	]	]	X
ejpam-7057	363	4	r.	r.	PROPN
ejpam-7057	363	5	a.	a.	NOUN
ejpam-7057	363	6	padder	padder	PROPN
ejpam-7057	363	7	and	and	CCONJ
ejpam-7057	363	8	p.	p.	PROPN
ejpam-7057	363	9	murugadas	murugadas	PROPN
ejpam-7057	363	10	.	.	PUNCT
ejpam-7057	364	1	convergence	convergence	NOUN
ejpam-7057	364	2	of	of	ADP
ejpam-7057	364	3	powers	power	NOUN
ejpam-7057	364	4	and	and	CCONJ
ejpam-7057	364	5	canonical	canonical	ADJ
ejpam-7057	364	6	form	form	NOUN
ejpam-7057	364	7	of	of	ADP
ejpam-7057	364	8	s	s	NOUN
ejpam-7057	364	9	-	-	ADJ
ejpam-7057	364	10	transitive	transitive	ADJ
ejpam-7057	364	11	intuitionistic	intuitionistic	ADJ
ejpam-7057	364	12	fuzzy	fuzzy	ADJ
ejpam-7057	364	13	matrix	matrix	NOUN
ejpam-7057	364	14	.	.	PUNCT
ejpam-7057	365	1	new	new	ADJ
ejpam-7057	365	2	trends	trend	NOUN
ejpam-7057	365	3	in	in	ADP
ejpam-7057	365	4	mathematical	mathematical	ADJ
ejpam-7057	365	5	sciences	science	NOUN
ejpam-7057	365	6	,	,	PUNCT
ejpam-7057	365	7	2(5):229–236	2(5):229–236	NUM
ejpam-7057	365	8	,	,	PUNCT
ejpam-7057	365	9	2017	2017	NUM
ejpam-7057	365	10	.	.	PUNCT
ejpam-7057	366	1	[	[	X
ejpam-7057	366	2	26	26	NUM
ejpam-7057	366	3	]	]	X
ejpam-7057	366	4	s.	s.	PROPN
ejpam-7057	366	5	pirzada	pirzada	PROPN
ejpam-7057	366	6	.	.	PUNCT
ejpam-7057	367	1	an	an	DET
ejpam-7057	367	2	introduction	introduction	NOUN
ejpam-7057	367	3	to	to	AUX
ejpam-7057	367	4	graph	graph	NOUN
ejpam-7057	367	5	theory	theory	NOUN
ejpam-7057	367	6	.	.	PUNCT
ejpam-7057	368	1	orient	orient	PROPN
ejpam-7057	368	2	blackswan	blackswan	PROPN
ejpam-7057	368	3	,	,	PUNCT
ejpam-7057	368	4	hyderabad	hyderabad	PROPN
ejpam-7057	368	5	,	,	PUNCT
ejpam-7057	368	6	india	india	PROPN
ejpam-7057	368	7	,	,	PUNCT
ejpam-7057	368	8	2012	2012	NUM
ejpam-7057	368	9	.	.	PUNCT
ejpam-7057	369	1	s.	s.	PROPN
ejpam-7057	369	2	aljohani	aljohani	PROPN
ejpam-7057	369	3	,	,	PUNCT
ejpam-7057	369	4	r.	r.	PROPN
ejpam-7057	369	5	a.	a.	NOUN
ejpam-7057	369	6	padder	padder	PROPN
ejpam-7057	369	7	,	,	PUNCT
ejpam-7057	369	8	p.	p.	PROPN
ejpam-7057	369	9	devshali	devshali	PROPN
ejpam-7057	369	10	/	/	SYM
ejpam-7057	369	11	eur	eur	PROPN
ejpam-7057	369	12	.	.	PUNCT
ejpam-7057	370	1	j.	j.	PROPN
ejpam-7057	370	2	pure	pure	PROPN
ejpam-7057	370	3	appl	appl	PROPN
ejpam-7057	370	4	.	.	PROPN
ejpam-7057	370	5	math	math	PROPN
ejpam-7057	370	6	,	,	PUNCT
ejpam-7057	370	7	18	18	NUM
ejpam-7057	370	8	(	(	PUNCT
ejpam-7057	370	9	4	4	NUM
ejpam-7057	370	10	)	)	PUNCT
ejpam-7057	370	11	(	(	PUNCT
ejpam-7057	370	12	2025	2025	NUM
ejpam-7057	370	13	)	)	PUNCT
ejpam-7057	370	14	,	,	PUNCT
ejpam-7057	370	15	7057	7057	NUM
ejpam-7057	370	16	11	11	NUM
ejpam-7057	370	17	of	of	ADP
ejpam-7057	370	18	11	11	NUM
ejpam-7057	371	1	[	[	SYM
ejpam-7057	371	2	27	27	NUM
ejpam-7057	371	3	]	]	X
ejpam-7057	371	4	f.	f.	PROPN
ejpam-7057	371	5	uddin	uddin	PROPN
ejpam-7057	371	6	,	,	PUNCT
ejpam-7057	371	7	u.	u.	PROPN
ejpam-7057	371	8	ishtiaq	ishtiaq	PROPN
ejpam-7057	371	9	,	,	PUNCT
ejpam-7057	371	10	k.	k.	PROPN
ejpam-7057	371	11	javed	javed	PROPN
ejpam-7057	371	12	,	,	PUNCT
ejpam-7057	371	13	s.	s.	PROPN
ejpam-7057	371	14	s.	s.	PROPN
ejpam-7057	371	15	aiadi	aiadi	PROPN
ejpam-7057	371	16	,	,	PUNCT
ejpam-7057	371	17	m.	m.	PROPN
ejpam-7057	371	18	arshad	arshad	PROPN
ejpam-7057	371	19	,	,	PUNCT
ejpam-7057	371	20	n.	n.	NOUN
ejpam-7057	371	21	souayah	souayah	NOUN
ejpam-7057	371	22	,	,	PUNCT
ejpam-7057	371	23	and	and	CCONJ
ejpam-7057	371	24	n.	n.	PROPN
ejpam-7057	371	25	mlaiki	mlaiki	PROPN
ejpam-7057	371	26	.	.	PUNCT
ejpam-7057	372	1	new	new	ADJ
ejpam-7057	372	2	extension	extension	NOUN
ejpam-7057	372	3	to	to	ADP
ejpam-7057	372	4	the	the	DET
ejpam-7057	372	5	intuitionistic	intuitionistic	ADJ
ejpam-7057	372	6	fuzzy	fuzzy	ADJ
ejpam-7057	372	7	metric	metric	ADJ
ejpam-7057	372	8	-	-	PUNCT
ejpam-7057	372	9	like	like	ADJ
ejpam-7057	372	10	spaces	space	NOUN
ejpam-7057	372	11	.	.	PUNCT
ejpam-7057	373	1	symmetry	symmetry	NOUN
ejpam-7057	373	2	,	,	PUNCT
ejpam-7057	373	3	14(7):1400	14(7):1400	NUM
ejpam-7057	373	4	,	,	PUNCT
ejpam-7057	373	5	2022	2022	NUM
ejpam-7057	373	6	.	.	PUNCT
ejpam-7057	374	1	[	[	X
ejpam-7057	374	2	28	28	NUM
ejpam-7057	374	3	]	]	X
ejpam-7057	374	4	p.	p.	NOUN
ejpam-7057	374	5	agilan	agilan	PROPN
ejpam-7057	374	6	,	,	PUNCT
ejpam-7057	374	7	a.	a.	NOUN
ejpam-7057	374	8	mukheimer	mukheimer	PROPN
ejpam-7057	374	9	,	,	PUNCT
ejpam-7057	374	10	n.	n.	PROPN
ejpam-7057	374	11	mlaiki	mlaiki	PROPN
ejpam-7057	374	12	,	,	PUNCT
ejpam-7057	374	13	and	and	CCONJ
ejpam-7057	374	14	k.	k.	PROPN
ejpam-7057	374	15	julietraja	julietraja	PROPN
ejpam-7057	374	16	.	.	PUNCT
ejpam-7057	375	1	intuitionistic	intuitionistic	ADJ
ejpam-7057	375	2	fuzzy	fuzzy	ADJ
ejpam-7057	375	3	stability	stability	NOUN
ejpam-7057	375	4	of	of	ADP
ejpam-7057	375	5	an	an	DET
ejpam-7057	375	6	euler	euler	ADJ
ejpam-7057	375	7	-	-	PUNCT
ejpam-7057	375	8	lagrange	lagrange	NOUN
ejpam-7057	375	9	symmetry	symmetry	NOUN
ejpam-7057	375	10	additive	additive	ADJ
ejpam-7057	375	11	functional	functional	ADJ
ejpam-7057	375	12	equation	equation	NOUN
ejpam-7057	375	13	via	via	ADP
ejpam-7057	375	14	direct	direct	ADJ
ejpam-7057	375	15	and	and	CCONJ
ejpam-7057	375	16	fixed	fix	VERB
ejpam-7057	375	17	point	point	NOUN
ejpam-7057	375	18	technique	technique	NOUN
ejpam-7057	375	19	(	(	PUNCT
ejpam-7057	375	20	fpt	fpt	PROPN
ejpam-7057	375	21	)	)	PUNCT
ejpam-7057	375	22	.	.	PUNCT
ejpam-7057	376	1	symmetry	symmetry	NOUN
ejpam-7057	376	2	,	,	PUNCT
ejpam-7057	376	3	14:2454	14:2454	NUM
ejpam-7057	376	4	,	,	PUNCT
ejpam-7057	376	5	2022	2022	NUM
ejpam-7057	376	6	.	.	PUNCT
ejpam-7057	377	1	[	[	X
ejpam-7057	377	2	29	29	NUM
ejpam-7057	377	3	]	]	X
ejpam-7057	377	4	f.	f.	PROPN
ejpam-7057	377	5	aliya	aliya	PROPN
ejpam-7057	377	6	,	,	PUNCT
ejpam-7057	377	7	h.	h.	PROPN
ejpam-7057	377	8	arshia	arshia	PROPN
ejpam-7057	377	9	,	,	PUNCT
ejpam-7057	377	10	a.	a.	PROPN
ejpam-7057	377	11	khan	khan	PROPN
ejpam-7057	377	12	,	,	PUNCT
ejpam-7057	377	13	a.	a.	NOUN
ejpam-7057	377	14	mukheimer	mukheimer	PROPN
ejpam-7057	377	15	,	,	PUNCT
ejpam-7057	377	16	t.	t.	NOUN
ejpam-7057	377	17	abdeljawad	abdeljawad	NOUN
ejpam-7057	377	18	,	,	PUNCT
ejpam-7057	377	19	and	and	CCONJ
ejpam-7057	377	20	r.	r.	PROPN
ejpam-7057	377	21	thinakaran	thinakaran	PROPN
ejpam-7057	377	22	.	.	PUNCT
ejpam-7057	378	1	triangular	triangular	PROPN
ejpam-7057	378	2	intuitionistic	intuitionistic	ADJ
ejpam-7057	378	3	fuzzy	fuzzy	ADJ
ejpam-7057	378	4	frank	frank	ADJ
ejpam-7057	378	5	aggregation	aggregation	NOUN
ejpam-7057	378	6	for	for	ADP
ejpam-7057	378	7	efficient	efficient	ADJ
ejpam-7057	378	8	renewable	renewable	ADJ
ejpam-7057	378	9	energy	energy	NOUN
ejpam-7057	378	10	project	project	NOUN
ejpam-7057	378	11	selection	selection	NOUN
ejpam-7057	378	12	.	.	PUNCT
ejpam-7057	379	1	european	european	PROPN
ejpam-7057	379	2	journal	journal	PROPN
ejpam-7057	379	3	of	of	ADP
ejpam-7057	379	4	pure	pure	ADJ
ejpam-7057	379	5	and	and	CCONJ
ejpam-7057	379	6	applied	applied	ADJ
ejpam-7057	379	7	mathematics	mathematic	NOUN
ejpam-7057	379	8	,	,	PUNCT
ejpam-7057	379	9	18(4):835–864	18(4):835–864	NUM
ejpam-7057	379	10	,	,	PUNCT
ejpam-7057	379	11	2025	2025	NUM
ejpam-7057	379	12	.	.	PUNCT
ejpam-7057	380	1	[	[	X
ejpam-7057	380	2	30	30	NUM
ejpam-7057	380	3	]	]	PUNCT
ejpam-7057	380	4	l.	l.	PROPN
ejpam-7057	380	5	j.	j.	PROPN
ejpam-7057	380	6	xin	xin	PROPN
ejpam-7057	380	7	.	.	PUNCT
ejpam-7057	381	1	controllable	controllable	ADJ
ejpam-7057	381	2	fuzzy	fuzzy	ADJ
ejpam-7057	381	3	matrices	matrix	NOUN
ejpam-7057	381	4	.	.	PUNCT
ejpam-7057	382	1	fuzzy	fuzzy	ADJ
ejpam-7057	382	2	sets	set	NOUN
ejpam-7057	382	3	and	and	CCONJ
ejpam-7057	382	4	systems	system	NOUN
ejpam-7057	382	5	,	,	PUNCT
ejpam-7057	382	6	45:313–319	45:313–319	PROPN
ejpam-7057	382	7	,	,	PUNCT
ejpam-7057	382	8	1992	1992	NUM
ejpam-7057	382	9	.	.	PUNCT
ejpam-7057	383	1	[	[	X
ejpam-7057	383	2	31	31	NUM
ejpam-7057	383	3	]	]	PUNCT
ejpam-7057	383	4	l.	l.	PROPN
ejpam-7057	383	5	j.	j.	PROPN
ejpam-7057	383	6	xin	xin	PROPN
ejpam-7057	383	7	.	.	PUNCT
ejpam-7057	384	1	convergence	convergence	NOUN
ejpam-7057	384	2	of	of	ADP
ejpam-7057	384	3	powers	power	NOUN
ejpam-7057	384	4	of	of	ADP
ejpam-7057	384	5	controllable	controllable	ADJ
ejpam-7057	384	6	fuzzy	fuzzy	ADJ
ejpam-7057	384	7	matrices	matrix	NOUN
ejpam-7057	384	8	.	.	PUNCT
ejpam-7057	385	1	fuzzy	fuzzy	ADJ
ejpam-7057	385	2	sets	set	NOUN
ejpam-7057	385	3	and	and	CCONJ
ejpam-7057	385	4	systems	system	NOUN
ejpam-7057	385	5	,	,	PUNCT
ejpam-7057	385	6	45:83–88	45:83–88	NUM
ejpam-7057	385	7	,	,	PUNCT
ejpam-7057	385	8	1994	1994	NUM
ejpam-7057	385	9	.	.	PUNCT
ejpam-7057	386	1	[	[	X
ejpam-7057	386	2	32	32	NUM
ejpam-7057	386	3	]	]	PUNCT
ejpam-7057	386	4	k.	k.	PROPN
ejpam-7057	386	5	atanassov	atanassov	PROPN
ejpam-7057	386	6	.	.	PUNCT
ejpam-7057	387	1	intuitionistic	intuitionistic	ADJ
ejpam-7057	387	2	fuzzy	fuzzy	ADJ
ejpam-7057	387	3	sets	set	NOUN
ejpam-7057	387	4	.	.	PUNCT
ejpam-7057	388	1	international	international	ADJ
ejpam-7057	388	2	journal	journal	PROPN
ejpam-7057	388	3	bioautomation	bioautomation	NOUN
ejpam-7057	388	4	,	,	PUNCT
ejpam-7057	388	5	20(1	20(1	NUM
ejpam-7057	388	6	)	)	PUNCT
ejpam-7057	388	7	,	,	PUNCT
ejpam-7057	388	8	2016	2016	NUM
ejpam-7057	388	9	.	.	PUNCT
ejpam-7057	389	1	[	[	X
ejpam-7057	389	2	33	33	NUM
ejpam-7057	389	3	]	]	X
ejpam-7057	389	4	y.	y.	PROPN
ejpam-7057	389	5	b.	b.	PROPN
ejpam-7057	390	1	i	i	PRON
ejpam-7057	390	2	m	m	PROPN
ejpam-7057	390	3	,	,	PUNCT
ejpam-7057	390	4	e.	e.	PROPN
ejpam-7057	390	5	p.	p.	PROPN
ejpam-7057	390	6	lee	lee	PROPN
ejpam-7057	390	7	,	,	PUNCT
ejpam-7057	390	8	and	and	CCONJ
ejpam-7057	390	9	s.	s.	PROPN
ejpam-7057	390	10	w.	w.	PROPN
ejpam-7057	390	11	park	park	PROPN
ejpam-7057	390	12	.	.	PUNCT
ejpam-7057	391	1	the	the	DET
ejpam-7057	391	2	determinant	determinant	NOUN
ejpam-7057	391	3	of	of	ADP
ejpam-7057	391	4	square	square	ADJ
ejpam-7057	391	5	intuitionistic	intuitionistic	ADJ
ejpam-7057	391	6	fuzzy	fuzzy	ADJ
ejpam-7057	391	7	matrices	matrix	NOUN
ejpam-7057	391	8	.	.	PUNCT
ejpam-7057	392	1	far	far	PROPN
ejpam-7057	392	2	east	east	PROPN
ejpam-7057	392	3	journal	journal	PROPN
ejpam-7057	392	4	of	of	ADP
ejpam-7057	392	5	mathematical	mathematical	ADJ
ejpam-7057	392	6	sciences	science	NOUN
ejpam-7057	392	7	,	,	PUNCT
ejpam-7057	392	8	3(5):789–796	3(5):789–796	NUM
ejpam-7057	392	9	,	,	PUNCT
ejpam-7057	392	10	2001	2001	NUM
ejpam-7057	392	11	.	.	PUNCT
ejpam-7057	393	1	[	[	X
ejpam-7057	393	2	34	34	NUM
ejpam-7057	393	3	]	]	X
ejpam-7057	393	4	y.	y.	PROPN
ejpam-7057	393	5	j.	j.	PROPN
ejpam-7057	393	6	tan	tan	PROPN
ejpam-7057	393	7	.	.	PUNCT
ejpam-7057	394	1	eigenvalues	eigenvalue	NOUN
ejpam-7057	394	2	and	and	CCONJ
ejpam-7057	394	3	eigenvectors	eigenvector	NOUN
ejpam-7057	394	4	for	for	ADP
ejpam-7057	394	5	matrices	matrix	NOUN
ejpam-7057	394	6	over	over	ADP
ejpam-7057	394	7	distributive	distributive	ADJ
ejpam-7057	394	8	lattices	lattice	NOUN
ejpam-7057	394	9	.	.	PUNCT
ejpam-7057	395	1	linear	linear	ADJ
ejpam-7057	395	2	algebra	algebra	NOUN
ejpam-7057	395	3	and	and	CCONJ
ejpam-7057	395	4	its	its	PRON
ejpam-7057	395	5	applications	application	NOUN
ejpam-7057	395	6	,	,	PUNCT
ejpam-7057	395	7	283:257–272	283:257–272	NUM
ejpam-7057	395	8	,	,	PUNCT
ejpam-7057	395	9	1998	1998	NUM
ejpam-7057	395	10	.	.	PUNCT
ejpam-7057	396	1	[	[	X
ejpam-7057	396	2	35	35	NUM
ejpam-7057	396	3	]	]	PUNCT
ejpam-7057	396	4	k.	k.	PROPN
ejpam-7057	396	5	l.	l.	PROPN
ejpam-7057	396	6	zhang	zhang	PROPN
ejpam-7057	396	7	.	.	PUNCT
ejpam-7057	397	1	on	on	ADP
ejpam-7057	397	2	the	the	DET
ejpam-7057	397	3	nilpotent	nilpotent	ADJ
ejpam-7057	397	4	matrices	matrix	NOUN
ejpam-7057	397	5	over	over	ADP
ejpam-7057	397	6	d01	d01	NOUN
ejpam-7057	397	7	-	-	PUNCT
ejpam-7057	397	8	lattice	lattice	NOUN
ejpam-7057	397	9	.	.	PUNCT
ejpam-7057	398	1	fuzzy	fuzzy	ADJ
ejpam-7057	398	2	sets	set	NOUN
ejpam-7057	398	3	and	and	CCONJ
ejpam-7057	398	4	systems	system	NOUN
ejpam-7057	398	5	,	,	PUNCT
ejpam-7057	398	6	117:403–406	117:403–406	NUM
ejpam-7057	398	7	,	,	PUNCT
ejpam-7057	398	8	2001	2001	NUM
ejpam-7057	398	9	.	.	PUNCT