id	sid	tid	token	lemma	pos
ejpam-283	1	1	4_283_pestano.dvi	4_283_pestano.dvi	NUM
ejpam-283	1	2	european	european	ADJ
ejpam-283	1	3	journal	journal	NOUN
ejpam-283	1	4	of	of	ADP
ejpam-283	1	5	pure	pure	ADJ
ejpam-283	1	6	and	and	CCONJ
ejpam-283	1	7	applied	apply	VERB
ejpam-283	1	8	mathematics	mathematic	NOUN
ejpam-283	1	9	vol	vol	NOUN
ejpam-283	1	10	.	.	PUNCT
ejpam-283	2	1	3	3	NUM
ejpam-283	2	2	,	,	PUNCT
ejpam-283	2	3	no	no	INTJ
ejpam-283	2	4	.	.	NOUN
ejpam-283	2	5	2	2	NUM
ejpam-283	2	6	,	,	PUNCT
ejpam-283	2	7	2010	2010	NUM
ejpam-283	2	8	,	,	PUNCT
ejpam-283	2	9	174	174	NUM
ejpam-283	2	10	-	-	SYM
ejpam-283	2	11	186	186	NUM
ejpam-283	2	12	issn	issn	PROPN
ejpam-283	2	13	1307	1307	NUM
ejpam-283	2	14	-	-	SYM
ejpam-283	2	15	5543	5543	NUM
ejpam-283	2	16	–	–	PUNCT
ejpam-283	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-283	2	18	identifiability	identifiability	NOUN
ejpam-283	2	19	and	and	CCONJ
ejpam-283	2	20	minimality	minimality	NOUN
ejpam-283	2	21	in	in	ADP
ejpam-283	2	22	rational	rational	ADJ
ejpam-283	2	23	models	model	NOUN
ejpam-283	2	24	celina	celina	PROPN
ejpam-283	2	25	pestano	pestano	PROPN
ejpam-283	2	26	-	-	PUNCT
ejpam-283	2	27	gabino∗	gabino∗	NOUN
ejpam-283	2	28	,	,	PUNCT
ejpam-283	2	29	concepción	concepción	NOUN
ejpam-283	2	30	gonzález	gonzález	PROPN
ejpam-283	2	31	-	-	PUNCT
ejpam-283	2	32	concepción	concepción	NOUN
ejpam-283	2	33	,	,	PUNCT
ejpam-283	2	34	and	and	CCONJ
ejpam-283	2	35	maría	maría	PROPN
ejpam-283	2	36	candelaria	candelaria	PROPN
ejpam-283	2	37	gil	gil	PROPN
ejpam-283	2	38	-	-	PROPN
ejpam-283	2	39	fariña	fariña	ADJ
ejpam-283	2	40	university	university	PROPN
ejpam-283	2	41	of	of	ADP
ejpam-283	2	42	la	la	PROPN
ejpam-283	2	43	laguna	laguna	PROPN
ejpam-283	2	44	(	(	PUNCT
ejpam-283	2	45	ull	ull	PROPN
ejpam-283	2	46	)	)	PUNCT
ejpam-283	2	47	,	,	PUNCT
ejpam-283	2	48	department	department	NOUN
ejpam-283	2	49	of	of	ADP
ejpam-283	2	50	applied	apply	VERB
ejpam-283	2	51	economics	economic	NOUN
ejpam-283	2	52	,	,	PUNCT
ejpam-283	2	53	campus	campus	NOUN
ejpam-283	2	54	de	de	X
ejpam-283	2	55	guajara	guajara	PROPN
ejpam-283	2	56	,	,	PUNCT
ejpam-283	2	57	tenerife	tenerife	PROPN
ejpam-283	2	58	spain	spain	PROPN
ejpam-283	2	59	abstract	abstract	PROPN
ejpam-283	2	60	.	.	PUNCT
ejpam-283	3	1	this	this	DET
ejpam-283	3	2	paper	paper	NOUN
ejpam-283	3	3	uses	use	VERB
ejpam-283	3	4	key	key	ADJ
ejpam-283	3	5	algebraic	algebraic	ADJ
ejpam-283	3	6	relationships	relationship	NOUN
ejpam-283	3	7	between	between	ADP
ejpam-283	3	8	matrix	matrix	NOUN
ejpam-283	3	9	padé	padé	NOUN
ejpam-283	3	10	approximation	approximation	NOUN
ejpam-283	3	11	and	and	CCONJ
ejpam-283	3	12	certain	certain	ADJ
ejpam-283	3	13	multivariate	multivariate	NOUN
ejpam-283	3	14	time	time	NOUN
ejpam-283	3	15	series	series	PROPN
ejpam-283	3	16	models	model	NOUN
ejpam-283	3	17	.	.	PUNCT
ejpam-283	4	1	these	these	DET
ejpam-283	4	2	relationships	relationship	NOUN
ejpam-283	4	3	help	help	VERB
ejpam-283	4	4	us	we	PRON
ejpam-283	4	5	to	to	PART
ejpam-283	4	6	obtain	obtain	VERB
ejpam-283	4	7	relevant	relevant	ADJ
ejpam-283	4	8	results	result	NOUN
ejpam-283	4	9	for	for	ADP
ejpam-283	4	10	solving	solve	VERB
ejpam-283	4	11	the	the	DET
ejpam-283	4	12	problems	problem	NOUN
ejpam-283	4	13	of	of	ADP
ejpam-283	4	14	identifiability	identifiability	NOUN
ejpam-283	4	15	and	and	CCONJ
ejpam-283	4	16	exchangeability	exchangeability	NOUN
ejpam-283	4	17	in	in	ADP
ejpam-283	4	18	several	several	ADJ
ejpam-283	4	19	models	model	NOUN
ejpam-283	4	20	.	.	PUNCT
ejpam-283	5	1	we	we	PRON
ejpam-283	5	2	develop	develop	VERB
ejpam-283	5	3	a	a	DET
ejpam-283	5	4	new	new	ADJ
ejpam-283	5	5	generalization	generalization	NOUN
ejpam-283	5	6	of	of	ADP
ejpam-283	5	7	the	the	DET
ejpam-283	5	8	corner	corner	NOUN
ejpam-283	5	9	method	method	NOUN
ejpam-283	5	10	and	and	CCONJ
ejpam-283	5	11	apply	apply	VERB
ejpam-283	5	12	it	it	PRON
ejpam-283	5	13	to	to	ADP
ejpam-283	5	14	the	the	DET
ejpam-283	5	15	multivariate	multivariate	NOUN
ejpam-283	5	16	case	case	NOUN
ejpam-283	5	17	.	.	PUNCT
ejpam-283	6	1	one	one	NUM
ejpam-283	6	2	advantage	advantage	NOUN
ejpam-283	6	3	of	of	ADP
ejpam-283	6	4	the	the	DET
ejpam-283	6	5	procedure	procedure	NOUN
ejpam-283	6	6	is	be	AUX
ejpam-283	6	7	the	the	DET
ejpam-283	6	8	presentation	presentation	NOUN
ejpam-283	6	9	of	of	ADP
ejpam-283	6	10	the	the	DET
ejpam-283	6	11	results	result	NOUN
ejpam-283	6	12	in	in	ADP
ejpam-283	6	13	easily	easily	ADV
ejpam-283	6	14	interpretable	interpretable	ADJ
ejpam-283	6	15	tables	table	NOUN
ejpam-283	6	16	.	.	PUNCT
ejpam-283	7	1	we	we	PRON
ejpam-283	7	2	define	define	VERB
ejpam-283	7	3	new	new	ADJ
ejpam-283	7	4	canonical	canonical	ADJ
ejpam-283	7	5	representations	representation	NOUN
ejpam-283	7	6	.	.	PUNCT
ejpam-283	8	1	the	the	DET
ejpam-283	8	2	paper	paper	NOUN
ejpam-283	8	3	also	also	ADV
ejpam-283	8	4	contains	contain	VERB
ejpam-283	8	5	additional	additional	ADJ
ejpam-283	8	6	theoretical	theoretical	ADJ
ejpam-283	8	7	results	result	NOUN
ejpam-283	8	8	improving	improve	VERB
ejpam-283	8	9	on	on	ADP
ejpam-283	8	10	formulations	formulation	NOUN
ejpam-283	8	11	of	of	ADP
ejpam-283	8	12	the	the	DET
ejpam-283	8	13	corresponding	corresponding	ADJ
ejpam-283	8	14	algorithm	algorithm	NOUN
ejpam-283	8	15	that	that	PRON
ejpam-283	8	16	will	will	AUX
ejpam-283	8	17	assist	assist	VERB
ejpam-283	8	18	us	we	PRON
ejpam-283	8	19	.	.	PUNCT
ejpam-283	9	1	the	the	DET
ejpam-283	9	2	technique	technique	NOUN
ejpam-283	9	3	is	be	AUX
ejpam-283	9	4	illustrated	illustrate	VERB
ejpam-283	9	5	in	in	ADP
ejpam-283	9	6	vectorial	vectorial	ADJ
ejpam-283	9	7	autoregressive	autoregressive	ADJ
ejpam-283	9	8	moving	move	VERB
ejpam-283	9	9	average	average	ADJ
ejpam-283	9	10	models	model	NOUN
ejpam-283	9	11	by	by	ADP
ejpam-283	9	12	using	use	VERB
ejpam-283	9	13	a	a	DET
ejpam-283	9	14	theoretical	theoretical	ADJ
ejpam-283	9	15	example	example	NOUN
ejpam-283	9	16	.	.	PUNCT
ejpam-283	10	1	2000	2000	NUM
ejpam-283	10	2	mathematics	mathematic	NOUN
ejpam-283	10	3	subject	subject	NOUN
ejpam-283	10	4	classifications	classification	NOUN
ejpam-283	10	5	:	:	PUNCT
ejpam-283	10	6	41a20	41a20	NUM
ejpam-283	10	7	(	(	PUNCT
ejpam-283	10	8	approximation	approximation	NOUN
ejpam-283	10	9	by	by	ADP
ejpam-283	10	10	rational	rational	ADJ
ejpam-283	10	11	functions	function	NOUN
ejpam-283	10	12	)	)	PUNCT
ejpam-283	10	13	,	,	PUNCT
ejpam-283	10	14	37m10	37m10	NUM
ejpam-283	10	15	(	(	PUNCT
ejpam-283	10	16	time	time	NOUN
ejpam-283	10	17	series	series	PROPN
ejpam-283	10	18	analysis	analysis	NOUN
ejpam-283	10	19	)	)	PUNCT
ejpam-283	10	20	key	key	ADJ
ejpam-283	10	21	words	word	NOUN
ejpam-283	10	22	and	and	CCONJ
ejpam-283	10	23	phrases	phrase	NOUN
ejpam-283	10	24	:	:	PUNCT
ejpam-283	10	25	matrix	matrix	NOUN
ejpam-283	10	26	padé	padé	NOUN
ejpam-283	10	27	approximation	approximation	NOUN
ejpam-283	10	28	;	;	PUNCT
ejpam-283	10	29	multivariate	multivariate	NOUN
ejpam-283	10	30	time	time	NOUN
ejpam-283	10	31	series	series	NOUN
ejpam-283	10	32	;	;	PUNCT
ejpam-283	10	33	rational	rational	ADJ
ejpam-283	10	34	models	model	NOUN
ejpam-283	10	35	;	;	PUNCT
ejpam-283	10	36	specification	specification	NOUN
ejpam-283	10	37	stage	stage	NOUN
ejpam-283	10	38	;	;	PUNCT
ejpam-283	10	39	exchangeability	exchangeability	NOUN
ejpam-283	10	40	;	;	PUNCT
ejpam-283	10	41	identifiability	identifiability	NOUN
ejpam-283	10	42	.	.	PUNCT
ejpam-283	11	1	1	1	X
ejpam-283	11	2	.	.	X
ejpam-283	11	3	introduction	introduction	NOUN
ejpam-283	11	4	the	the	DET
ejpam-283	11	5	aim	aim	NOUN
ejpam-283	11	6	of	of	ADP
ejpam-283	11	7	this	this	DET
ejpam-283	11	8	work	work	NOUN
ejpam-283	11	9	focuses	focus	VERB
ejpam-283	11	10	on	on	ADP
ejpam-283	11	11	the	the	DET
ejpam-283	11	12	specification	specification	NOUN
ejpam-283	11	13	stage	stage	NOUN
ejpam-283	11	14	of	of	ADP
ejpam-283	11	15	multivariate	multivariate	NOUN
ejpam-283	11	16	time	time	NOUN
ejpam-283	11	17	series	series	NOUN
ejpam-283	11	18	models	model	NOUN
ejpam-283	11	19	discussed	discuss	VERB
ejpam-283	11	20	in	in	ADP
ejpam-283	11	21	[	[	X
ejpam-283	11	22	5	5	NUM
ejpam-283	11	23	,	,	PUNCT
ejpam-283	11	24	9	9	NUM
ejpam-283	11	25	,	,	PUNCT
ejpam-283	11	26	11	11	NUM
ejpam-283	11	27	,	,	PUNCT
ejpam-283	11	28	16	16	NUM
ejpam-283	11	29	,	,	PUNCT
ejpam-283	11	30	...	...	PUNCT
ejpam-283	11	31	]	]	X
ejpam-283	11	32	.	.	PUNCT
ejpam-283	12	1	these	these	DET
ejpam-283	12	2	books	book	NOUN
ejpam-283	12	3	contain	contain	VERB
ejpam-283	12	4	what	what	PRON
ejpam-283	12	5	we	we	PRON
ejpam-283	12	6	believe	believe	VERB
ejpam-283	12	7	is	be	AUX
ejpam-283	12	8	the	the	DET
ejpam-283	12	9	most	most	ADV
ejpam-283	12	10	outstanding	outstanding	ADJ
ejpam-283	12	11	published	publish	VERB
ejpam-283	12	12	compilation	compilation	NOUN
ejpam-283	12	13	on	on	ADP
ejpam-283	12	14	specification	specification	NOUN
ejpam-283	12	15	methodologies	methodology	NOUN
ejpam-283	12	16	.	.	PUNCT
ejpam-283	13	1	more	more	ADJ
ejpam-283	13	2	recent	recent	ADJ
ejpam-283	13	3	references	reference	NOUN
ejpam-283	13	4	are	be	AUX
ejpam-283	13	5	,	,	PUNCT
ejpam-283	13	6	among	among	ADP
ejpam-283	13	7	others	other	NOUN
ejpam-283	13	8	,	,	PUNCT
ejpam-283	13	9	[	[	X
ejpam-283	13	10	8	8	NUM
ejpam-283	13	11	,	,	PUNCT
ejpam-283	13	12	15	15	NUM
ejpam-283	13	13	]	]	PUNCT
ejpam-283	13	14	.	.	PUNCT
ejpam-283	14	1	some	some	PRON
ejpam-283	14	2	of	of	ADP
ejpam-283	14	3	the	the	DET
ejpam-283	14	4	properties	property	NOUN
ejpam-283	14	5	involving	involve	VERB
ejpam-283	14	6	minimum	minimum	ADJ
ejpam-283	14	7	orders	order	NOUN
ejpam-283	14	8	and	and	CCONJ
ejpam-283	14	9	the	the	DET
ejpam-283	14	10	unique	unique	ADJ
ejpam-283	14	11	irreducible	irreducible	ADJ
ejpam-283	14	12	representation	representation	NOUN
ejpam-283	14	13	for	for	ADP
ejpam-283	14	14	univariate	univariate	ADJ
ejpam-283	14	15	time	time	NOUN
ejpam-283	14	16	series	series	NOUN
ejpam-283	14	17	models	model	NOUN
ejpam-283	14	18	can	can	AUX
ejpam-283	14	19	not	not	PART
ejpam-283	14	20	be	be	AUX
ejpam-283	14	21	transferred	transfer	VERB
ejpam-283	14	22	to	to	ADP
ejpam-283	14	23	the	the	DET
ejpam-283	14	24	multivariate	multivariate	NOUN
ejpam-283	14	25	case	case	NOUN
ejpam-283	14	26	.	.	PUNCT
ejpam-283	15	1	in	in	ADP
ejpam-283	15	2	particular	particular	ADJ
ejpam-283	15	3	,	,	PUNCT
ejpam-283	15	4	two	two	NUM
ejpam-283	15	5	specific	specific	ADJ
ejpam-283	15	6	problems	problem	NOUN
ejpam-283	15	7	arise	arise	VERB
ejpam-283	15	8	when	when	SCONJ
ejpam-283	15	9	considering	consider	VERB
ejpam-283	15	10	rational	rational	ADJ
ejpam-283	15	11	matrix	matrix	NOUN
ejpam-283	15	12	models	model	NOUN
ejpam-283	15	13	:	:	PUNCT
ejpam-283	15	14	i	i	NOUN
ejpam-283	15	15	)	)	PUNCT
ejpam-283	15	16	identifiability	identifiability	NOUN
ejpam-283	15	17	,	,	PUNCT
ejpam-283	15	18	especially	especially	ADV
ejpam-283	15	19	when	when	SCONJ
ejpam-283	15	20	a	a	DET
ejpam-283	15	21	unique	unique	ADJ
ejpam-283	15	22	representation	representation	NOUN
ejpam-283	15	23	for	for	ADP
ejpam-283	15	24	a	a	DET
ejpam-283	15	25	pair	pair	NOUN
ejpam-283	15	26	of	of	ADP
ejpam-283	15	27	minimum	minimum	ADJ
ejpam-283	15	28	orders	order	NOUN
ejpam-283	15	29	(	(	PUNCT
ejpam-283	15	30	m.o	m.o	PROPN
ejpam-283	15	31	.	.	PROPN
ejpam-283	15	32	)	)	PUNCT
ejpam-283	15	33	does	do	AUX
ejpam-283	15	34	not	not	PART
ejpam-283	15	35	exist	exist	VERB
ejpam-283	15	36	;	;	PUNCT
ejpam-283	15	37	and	and	CCONJ
ejpam-283	15	38	ii	ii	X
ejpam-283	15	39	)	)	PUNCT
ejpam-283	15	40	exchangeable	exchangeable	ADJ
ejpam-283	15	41	models	model	NOUN
ejpam-283	15	42	,	,	PUNCT
ejpam-283	15	43	particularly	particularly	ADV
ejpam-283	15	44	when	when	SCONJ
ejpam-283	15	45	several	several	ADJ
ejpam-283	15	46	pairs	pair	NOUN
ejpam-283	15	47	of	of	ADP
ejpam-283	15	48	m.o	m.o	PROPN
ejpam-283	15	49	.	.	PROPN
ejpam-283	15	50	do	do	AUX
ejpam-283	15	51	exist	exist	VERB
ejpam-283	15	52	.	.	PUNCT
ejpam-283	16	1	identifiable	identifiable	ADJ
ejpam-283	16	2	models	model	NOUN
ejpam-283	16	3	have	have	AUX
ejpam-283	16	4	been	be	AUX
ejpam-283	16	5	discussed	discuss	VERB
ejpam-283	16	6	from	from	ADP
ejpam-283	16	7	different	different	ADJ
ejpam-283	16	8	points	point	NOUN
ejpam-283	16	9	of	of	ADP
ejpam-283	16	10	view	view	NOUN
ejpam-283	16	11	in	in	ADP
ejpam-283	16	12	[	[	X
ejpam-283	16	13	3	3	NUM
ejpam-283	16	14	,	,	PUNCT
ejpam-283	16	15	10	10	NUM
ejpam-283	16	16	,	,	PUNCT
ejpam-283	16	17	...	...	PUNCT
ejpam-283	16	18	]	]	X
ejpam-283	16	19	.	.	PUNCT
ejpam-283	17	1	the	the	DET
ejpam-283	17	2	approach	approach	NOUN
ejpam-283	17	3	to	to	ADP
ejpam-283	17	4	exchangeable	exchangeable	ADJ
ejpam-283	17	5	models	model	NOUN
ejpam-283	17	6	using	use	VERB
ejpam-283	17	7	scalar	scalar	ADJ
ejpam-283	17	8	component	component	NOUN
ejpam-283	17	9	models	model	NOUN
ejpam-283	17	10	(	(	PUNCT
ejpam-283	17	11	scm	scm	PROPN
ejpam-283	17	12	)	)	PUNCT
ejpam-283	17	13	introduced	introduce	VERB
ejpam-283	17	14	in	in	ADP
ejpam-283	17	15	[	[	X
ejpam-283	17	16	17	17	NUM
ejpam-283	17	17	]	]	PUNCT
ejpam-283	17	18	∗corresponding	∗corresponde	VERB
ejpam-283	17	19	author	author	NOUN
ejpam-283	17	20	.	.	PUNCT
ejpam-283	18	1	email	email	NOUN
ejpam-283	18	2	addresses	address	NOUN
ejpam-283	18	3	:	:	PUNCT
ejpam-283	18	4	pestano�ull.es	pestano�ull.es	PROPN
ejpam-283	18	5	(	(	PUNCT
ejpam-283	18	6	c.	c.	PROPN
ejpam-283	18	7	pestano	pestano	PROPN
ejpam-283	18	8	-	-	PUNCT
ejpam-283	18	9	gabino	gabino	NOUN
ejpam-283	18	10	)	)	PUNCT
ejpam-283	18	11	,	,	PUNCT
ejpam-283	18	12	ogonzal�ull.es	ogonzal�ull.es	X
ejpam-283	18	13	(	(	PUNCT
ejpam-283	18	14	c.	c.	PROPN
ejpam-283	18	15	gonzález	gonzález	PROPN
ejpam-283	18	16	-	-	PUNCT
ejpam-283	18	17	concepción),mgil	concepción),mgil	NOUN
ejpam-283	18	18	�	�	PROPN
ejpam-283	18	19	ull.es	ull.es	PROPN
ejpam-283	18	20	(	(	PUNCT
ejpam-283	18	21	m.	m.	NOUN
ejpam-283	18	22	gil	gil	PROPN
ejpam-283	18	23	-	-	PUNCT
ejpam-283	18	24	fariña	fariña	ADJ
ejpam-283	18	25	)	)	PUNCT
ejpam-283	18	26	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-283	19	1	174	174	NUM
ejpam-283	19	2	c	c	NOUN
ejpam-283	19	3	©	©	PROPN
ejpam-283	19	4	2009	2009	NUM
ejpam-283	19	5	ejpam	ejpam	NOUN
ejpam-283	19	6	all	all	DET
ejpam-283	19	7	rights	right	NOUN
ejpam-283	19	8	reserved	reserve	VERB
ejpam-283	19	9	.	.	PUNCT
ejpam-283	20	1	c.	c.	PROPN
ejpam-283	20	2	pestano	pestano	PROPN
ejpam-283	20	3	-	-	PUNCT
ejpam-283	20	4	gabino	gabino	PROPN
ejpam-283	20	5	,	,	PUNCT
ejpam-283	20	6	c.	c.	PROPN
ejpam-283	20	7	gonzález	gonzález	PROPN
ejpam-283	20	8	-	-	PUNCT
ejpam-283	20	9	concepción	concepción	NOUN
ejpam-283	20	10	,	,	PUNCT
ejpam-283	20	11	m.	m.	NOUN
ejpam-283	20	12	gil	gil	PROPN
ejpam-283	20	13	-	-	PROPN
ejpam-283	20	14	fariña	fariña	ADJ
ejpam-283	20	15	/	/	SYM
ejpam-283	20	16	eur	eur	NOUN
ejpam-283	20	17	.	.	PUNCT
ejpam-283	21	1	j.	j.	PROPN
ejpam-283	21	2	pure	pure	PROPN
ejpam-283	21	3	appl	appl	PROPN
ejpam-283	21	4	.	.	PROPN
ejpam-283	21	5	math	math	PROPN
ejpam-283	21	6	,	,	PUNCT
ejpam-283	21	7	3	3	NUM
ejpam-283	21	8	(	(	PUNCT
ejpam-283	21	9	2010	2010	NUM
ejpam-283	21	10	)	)	PUNCT
ejpam-283	21	11	,	,	PUNCT
ejpam-283	21	12	174	174	NUM
ejpam-283	21	13	-	-	SYM
ejpam-283	21	14	186	186	NUM
ejpam-283	21	15	175	175	NUM
ejpam-283	21	16	is	be	AUX
ejpam-283	21	17	relevant	relevant	ADJ
ejpam-283	21	18	but	but	CCONJ
ejpam-283	21	19	does	do	AUX
ejpam-283	21	20	not	not	PART
ejpam-283	21	21	consider	consider	VERB
ejpam-283	21	22	the	the	DET
ejpam-283	21	23	identifiability	identifiability	NOUN
ejpam-283	21	24	problem	problem	NOUN
ejpam-283	21	25	.	.	PUNCT
ejpam-283	22	1	[	[	X
ejpam-283	22	2	2	2	X
ejpam-283	22	3	]	]	PUNCT
ejpam-283	22	4	highlights	highlight	VERB
ejpam-283	22	5	the	the	DET
ejpam-283	22	6	difficulty	difficulty	NOUN
ejpam-283	22	7	and	and	CCONJ
ejpam-283	22	8	complexity	complexity	NOUN
ejpam-283	22	9	of	of	ADP
ejpam-283	22	10	studying	study	VERB
ejpam-283	22	11	m.o	m.o	NOUN
ejpam-283	22	12	.	.	PUNCT
ejpam-283	23	1	we	we	PRON
ejpam-283	23	2	are	be	AUX
ejpam-283	23	3	unaware	unaware	ADJ
ejpam-283	23	4	of	of	ADP
ejpam-283	23	5	any	any	DET
ejpam-283	23	6	process	process	NOUN
ejpam-283	23	7	in	in	ADP
ejpam-283	23	8	the	the	DET
ejpam-283	23	9	literature	literature	NOUN
ejpam-283	23	10	that	that	PRON
ejpam-283	23	11	allows	allow	VERB
ejpam-283	23	12	for	for	ADP
ejpam-283	23	13	the	the	DET
ejpam-283	23	14	determination	determination	NOUN
ejpam-283	23	15	of	of	ADP
ejpam-283	23	16	minimum	minimum	ADJ
ejpam-283	23	17	order	order	NOUN
ejpam-283	23	18	pairs	pair	NOUN
ejpam-283	23	19	,	,	PUNCT
ejpam-283	23	20	and	and	CCONJ
ejpam-283	23	21	of	of	ADP
ejpam-283	23	22	pairs	pair	NOUN
ejpam-283	23	23	with	with	ADP
ejpam-283	23	24	identifiable	identifiable	ADJ
ejpam-283	23	25	corresponding	corresponding	ADJ
ejpam-283	23	26	representations	representation	NOUN
ejpam-283	23	27	.	.	PUNCT
ejpam-283	24	1	our	our	PRON
ejpam-283	24	2	research	research	NOUN
ejpam-283	24	3	is	be	AUX
ejpam-283	24	4	motivated	motivate	VERB
ejpam-283	24	5	by	by	ADP
ejpam-283	24	6	these	these	DET
ejpam-283	24	7	problems	problem	NOUN
ejpam-283	24	8	.	.	PUNCT
ejpam-283	25	1	we	we	PRON
ejpam-283	25	2	have	have	AUX
ejpam-283	25	3	shown	show	VERB
ejpam-283	25	4	how	how	SCONJ
ejpam-283	25	5	matrix	matrix	NOUN
ejpam-283	25	6	padé	padé	NOUN
ejpam-283	25	7	approximation	approximation	NOUN
ejpam-283	25	8	(	(	PUNCT
ejpam-283	25	9	mpa	mpa	NOUN
ejpam-283	25	10	)	)	PUNCT
ejpam-283	25	11	results	result	NOUN
ejpam-283	25	12	(	(	PUNCT
ejpam-283	25	13	[	[	X
ejpam-283	25	14	12	12	NUM
ejpam-283	25	15	,	,	PUNCT
ejpam-283	25	16	14	14	NUM
ejpam-283	25	17	]	]	PUNCT
ejpam-283	25	18	)	)	PUNCT
ejpam-283	25	19	can	can	AUX
ejpam-283	25	20	be	be	AUX
ejpam-283	25	21	obtained	obtain	VERB
ejpam-283	25	22	in	in	ADP
ejpam-283	25	23	a	a	DET
ejpam-283	25	24	more	more	ADV
ejpam-283	25	25	practical	practical	ADJ
ejpam-283	25	26	and	and	CCONJ
ejpam-283	25	27	easily	easily	ADV
ejpam-283	25	28	interpretable	interpretable	ADJ
ejpam-283	25	29	manner	manner	NOUN
ejpam-283	25	30	,	,	PUNCT
ejpam-283	25	31	thus	thus	ADV
ejpam-283	25	32	leading	lead	VERB
ejpam-283	25	33	to	to	ADP
ejpam-283	25	34	the	the	DET
ejpam-283	25	35	discovery	discovery	NOUN
ejpam-283	25	36	of	of	ADP
ejpam-283	25	37	all	all	DET
ejpam-283	25	38	the	the	DET
ejpam-283	25	39	identifiable	identifiable	ADJ
ejpam-283	25	40	representations	representation	NOUN
ejpam-283	25	41	with	with	ADP
ejpam-283	25	42	m.o	m.o	PROPN
ejpam-283	25	43	.	.	PUNCT
ejpam-283	26	1	the	the	DET
ejpam-283	26	2	characterization	characterization	NOUN
ejpam-283	26	3	of	of	ADP
ejpam-283	26	4	rational	rational	ADJ
ejpam-283	26	5	matrix	matrix	NOUN
ejpam-283	26	6	functions	function	NOUN
ejpam-283	26	7	proposed	propose	VERB
ejpam-283	26	8	in	in	ADP
ejpam-283	26	9	[	[	X
ejpam-283	26	10	12	12	NUM
ejpam-283	26	11	]	]	PUNCT
ejpam-283	26	12	involves	involve	VERB
ejpam-283	26	13	m	m	PROPN
ejpam-283	26	14	×	×	NOUN
ejpam-283	26	15	n	n	PRON
ejpam-283	26	16	matrices	matrix	NOUN
ejpam-283	26	17	.	.	PUNCT
ejpam-283	27	1	this	this	DET
ejpam-283	27	2	general	general	ADJ
ejpam-283	27	3	theoretical	theoretical	ADJ
ejpam-283	27	4	context	context	NOUN
ejpam-283	27	5	can	can	AUX
ejpam-283	27	6	be	be	AUX
ejpam-283	27	7	applied	apply	VERB
ejpam-283	27	8	in	in	ADP
ejpam-283	27	9	several	several	ADJ
ejpam-283	27	10	models	model	NOUN
ejpam-283	27	11	,	,	PUNCT
ejpam-283	27	12	such	such	ADJ
ejpam-283	27	13	as	as	ADP
ejpam-283	27	14	vectorial	vectorial	ADJ
ejpam-283	27	15	autoregressive	autoregressive	ADJ
ejpam-283	27	16	moving	move	VERB
ejpam-283	27	17	average	average	ADJ
ejpam-283	27	18	(	(	PUNCT
ejpam-283	27	19	varma	varma	PROPN
ejpam-283	27	20	)	)	PUNCT
ejpam-283	27	21	models	model	NOUN
ejpam-283	27	22	involving	involve	VERB
ejpam-283	27	23	square	square	ADJ
ejpam-283	27	24	matrices	matrix	NOUN
ejpam-283	27	25	,	,	PUNCT
ejpam-283	27	26	systems	system	NOUN
ejpam-283	27	27	of	of	ADP
ejpam-283	27	28	transfer	transfer	NOUN
ejpam-283	27	29	function	function	NOUN
ejpam-283	27	30	equations	equation	NOUN
ejpam-283	27	31	(	(	PUNCT
ejpam-283	27	32	stfe	stfe	NOUN
ejpam-283	27	33	)	)	PUNCT
ejpam-283	27	34	with	with	ADP
ejpam-283	27	35	rectangular	rectangular	ADJ
ejpam-283	27	36	matrices	matrix	NOUN
ejpam-283	27	37	,	,	PUNCT
ejpam-283	27	38	and	and	CCONJ
ejpam-283	27	39	others	other	NOUN
ejpam-283	27	40	.	.	PUNCT
ejpam-283	28	1	in	in	ADP
ejpam-283	28	2	essence	essence	NOUN
ejpam-283	28	3	,	,	PUNCT
ejpam-283	28	4	we	we	PRON
ejpam-283	28	5	have	have	AUX
ejpam-283	28	6	generalized	generalize	VERB
ejpam-283	28	7	the	the	DET
ejpam-283	28	8	corner	corner	NOUN
ejpam-283	28	9	method	method	NOUN
ejpam-283	28	10	(	(	PUNCT
ejpam-283	28	11	[	[	X
ejpam-283	28	12	1	1	NUM
ejpam-283	28	13	]	]	PUNCT
ejpam-283	28	14	)	)	PUNCT
ejpam-283	28	15	to	to	ADP
ejpam-283	28	16	the	the	DET
ejpam-283	28	17	multivariate	multivariate	NOUN
ejpam-283	28	18	case	case	NOUN
ejpam-283	28	19	.	.	PUNCT
ejpam-283	29	1	our	our	PRON
ejpam-283	29	2	approach	approach	NOUN
ejpam-283	29	3	provides	provide	VERB
ejpam-283	29	4	a	a	DET
ejpam-283	29	5	way	way	NOUN
ejpam-283	29	6	to	to	PART
ejpam-283	29	7	solve	solve	VERB
ejpam-283	29	8	some	some	DET
ejpam-283	29	9	special	special	ADJ
ejpam-283	29	10	problems	problem	NOUN
ejpam-283	29	11	in	in	ADP
ejpam-283	29	12	time	time	NOUN
ejpam-283	29	13	series	series	NOUN
ejpam-283	29	14	analysis	analysis	NOUN
ejpam-283	29	15	and	and	CCONJ
ejpam-283	29	16	mathematical	mathematical	ADJ
ejpam-283	29	17	modeling	modeling	NOUN
ejpam-283	29	18	.	.	PUNCT
ejpam-283	30	1	the	the	DET
ejpam-283	30	2	paper	paper	NOUN
ejpam-283	30	3	is	be	AUX
ejpam-283	30	4	structured	structure	VERB
ejpam-283	30	5	as	as	SCONJ
ejpam-283	30	6	follows	follow	VERB
ejpam-283	30	7	.	.	PUNCT
ejpam-283	31	1	section	section	NOUN
ejpam-283	31	2	2	2	NUM
ejpam-283	31	3	contains	contain	VERB
ejpam-283	31	4	theoretical	theoretical	ADJ
ejpam-283	31	5	relationships	relationship	NOUN
ejpam-283	31	6	between	between	ADP
ejpam-283	31	7	certain	certain	ADJ
ejpam-283	31	8	multivariate	multivariate	NOUN
ejpam-283	31	9	time	time	NOUN
ejpam-283	31	10	series	series	NOUN
ejpam-283	31	11	models	model	NOUN
ejpam-283	31	12	and	and	CCONJ
ejpam-283	31	13	rational	rational	ADJ
ejpam-283	31	14	matrix	matrix	NOUN
ejpam-283	31	15	functions	function	NOUN
ejpam-283	31	16	.	.	PUNCT
ejpam-283	32	1	we	we	PRON
ejpam-283	32	2	mention	mention	VERB
ejpam-283	32	3	several	several	ADJ
ejpam-283	32	4	possible	possible	ADJ
ejpam-283	32	5	applications	application	NOUN
ejpam-283	32	6	of	of	ADP
ejpam-283	32	7	the	the	DET
ejpam-283	32	8	main	main	ADJ
ejpam-283	32	9	theoretical	theoretical	ADJ
ejpam-283	32	10	contributions	contribution	NOUN
ejpam-283	32	11	in	in	ADP
ejpam-283	32	12	[	[	X
ejpam-283	32	13	12	12	NUM
ejpam-283	32	14	,	,	PUNCT
ejpam-283	32	15	14	14	NUM
ejpam-283	32	16	]	]	PUNCT
ejpam-283	32	17	and	and	CCONJ
ejpam-283	32	18	analyze	analyze	VERB
ejpam-283	32	19	the	the	DET
ejpam-283	32	20	problems	problem	NOUN
ejpam-283	32	21	of	of	ADP
ejpam-283	32	22	identifiability	identifiability	NOUN
ejpam-283	32	23	,	,	PUNCT
ejpam-283	32	24	minimality	minimality	NOUN
ejpam-283	32	25	and	and	CCONJ
ejpam-283	32	26	exchangeability	exchangeability	NOUN
ejpam-283	32	27	.	.	PUNCT
ejpam-283	33	1	section	section	NOUN
ejpam-283	33	2	3	3	NUM
ejpam-283	33	3	illustrates	illustrate	VERB
ejpam-283	33	4	the	the	DET
ejpam-283	33	5	use	use	NOUN
ejpam-283	33	6	of	of	ADP
ejpam-283	33	7	the	the	DET
ejpam-283	33	8	algorithm	algorithm	NOUN
ejpam-283	33	9	in	in	ADP
ejpam-283	33	10	varma	varma	PROPN
ejpam-283	33	11	models	model	NOUN
ejpam-283	33	12	with	with	ADP
ejpam-283	33	13	a	a	DET
ejpam-283	33	14	theoretical	theoretical	ADJ
ejpam-283	33	15	example	example	NOUN
ejpam-283	33	16	.	.	PUNCT
ejpam-283	34	1	we	we	PRON
ejpam-283	34	2	conclude	conclude	VERB
ejpam-283	34	3	with	with	ADP
ejpam-283	34	4	some	some	DET
ejpam-283	34	5	comments	comment	NOUN
ejpam-283	34	6	on	on	ADP
ejpam-283	34	7	the	the	DET
ejpam-283	34	8	most	most	ADV
ejpam-283	34	9	relevant	relevant	ADJ
ejpam-283	34	10	aspects	aspect	NOUN
ejpam-283	34	11	of	of	ADP
ejpam-283	34	12	our	our	PRON
ejpam-283	34	13	research	research	NOUN
ejpam-283	34	14	and	and	CCONJ
ejpam-283	34	15	discuss	discuss	VERB
ejpam-283	34	16	some	some	DET
ejpam-283	34	17	possible	possible	ADJ
ejpam-283	34	18	considerations	consideration	NOUN
ejpam-283	34	19	for	for	ADP
ejpam-283	34	20	future	future	ADJ
ejpam-283	34	21	study	study	NOUN
ejpam-283	34	22	.	.	PUNCT
ejpam-283	35	1	this	this	DET
ejpam-283	35	2	paper	paper	NOUN
ejpam-283	35	3	improves	improve	VERB
ejpam-283	35	4	on	on	ADP
ejpam-283	35	5	[	[	X
ejpam-283	35	6	13	13	NUM
ejpam-283	35	7	]	]	PUNCT
ejpam-283	35	8	by	by	ADP
ejpam-283	35	9	proposing	propose	VERB
ejpam-283	35	10	new	new	ADJ
ejpam-283	35	11	theoretical	theoretical	ADJ
ejpam-283	35	12	results	result	NOUN
ejpam-283	35	13	(	(	PUNCT
ejpam-283	35	14	theorems	theorem	NOUN
ejpam-283	35	15	and	and	CCONJ
ejpam-283	35	16	properties	property	NOUN
ejpam-283	35	17	)	)	PUNCT
ejpam-283	35	18	and	and	CCONJ
ejpam-283	35	19	reformulating	reformulate	VERB
ejpam-283	35	20	some	some	PRON
ejpam-283	35	21	of	of	ADP
ejpam-283	35	22	the	the	DET
ejpam-283	35	23	material	material	NOUN
ejpam-283	35	24	in	in	ADP
ejpam-283	35	25	[	[	X
ejpam-283	35	26	13	13	NUM
ejpam-283	35	27	]	]	PUNCT
ejpam-283	35	28	so	so	SCONJ
ejpam-283	35	29	as	as	SCONJ
ejpam-283	35	30	to	to	PART
ejpam-283	35	31	broaden	broaden	VERB
ejpam-283	35	32	the	the	DET
ejpam-283	35	33	scope	scope	NOUN
ejpam-283	35	34	to	to	PART
ejpam-283	35	35	include	include	VERB
ejpam-283	35	36	the	the	DET
ejpam-283	35	37	characterization	characterization	NOUN
ejpam-283	35	38	of	of	ADP
ejpam-283	35	39	rational	rational	ADJ
ejpam-283	35	40	models	model	NOUN
ejpam-283	35	41	which	which	PRON
ejpam-283	35	42	require	require	VERB
ejpam-283	35	43	the	the	DET
ejpam-283	35	44	use	use	NOUN
ejpam-283	35	45	of	of	ADP
ejpam-283	35	46	non	non	ADJ
ejpam-283	35	47	-	-	ADJ
ejpam-283	35	48	square	square	ADJ
ejpam-283	35	49	matrices	matrix	NOUN
ejpam-283	35	50	.	.	PUNCT
ejpam-283	36	1	moreover	moreover	ADV
ejpam-283	36	2	,	,	PUNCT
ejpam-283	36	3	definitions	definition	NOUN
ejpam-283	36	4	for	for	ADP
ejpam-283	36	5	new	new	ADJ
ejpam-283	36	6	canonical	canonical	ADJ
ejpam-283	36	7	representations	representation	NOUN
ejpam-283	36	8	are	be	AUX
ejpam-283	36	9	included	include	VERB
ejpam-283	36	10	,	,	PUNCT
ejpam-283	36	11	all	all	PRON
ejpam-283	36	12	of	of	ADP
ejpam-283	36	13	this	this	PRON
ejpam-283	36	14	illustrated	illustrate	VERB
ejpam-283	36	15	with	with	ADP
ejpam-283	36	16	an	an	DET
ejpam-283	36	17	example	example	NOUN
ejpam-283	36	18	.	.	PUNCT
ejpam-283	37	1	2	2	X
ejpam-283	37	2	.	.	X
ejpam-283	37	3	rational	rational	ADJ
ejpam-283	37	4	models	model	NOUN
ejpam-283	37	5	in	in	ADP
ejpam-283	37	6	multivariate	multivariate	NOUN
ejpam-283	37	7	time	time	NOUN
ejpam-283	37	8	series	series	NOUN
ejpam-283	37	9	we	we	PRON
ejpam-283	37	10	are	be	AUX
ejpam-283	37	11	interested	interested	ADJ
ejpam-283	37	12	in	in	ADP
ejpam-283	37	13	studying	study	VERB
ejpam-283	37	14	if	if	SCONJ
ejpam-283	37	15	a	a	DET
ejpam-283	37	16	process	process	NOUN
ejpam-283	37	17	x	x	PUNCT
ejpam-283	37	18	t	t	PROPN
ejpam-283	37	19	,	,	PUNCT
ejpam-283	37	20	a	a	DET
ejpam-283	37	21	k	k	NOUN
ejpam-283	37	22	-	-	NOUN
ejpam-283	37	23	vector	vector	NOUN
ejpam-283	37	24	of	of	ADP
ejpam-283	37	25	random	random	ADJ
ejpam-283	37	26	variables	variable	NOUN
ejpam-283	37	27	,	,	PUNCT
ejpam-283	37	28	conforms	conform	VERB
ejpam-283	37	29	to	to	ADP
ejpam-283	37	30	certain	certain	ADJ
ejpam-283	37	31	rational	rational	ADJ
ejpam-283	37	32	matrix	matrix	NOUN
ejpam-283	37	33	models	model	NOUN
ejpam-283	37	34	,	,	PUNCT
ejpam-283	37	35	for	for	ADP
ejpam-283	37	36	instance	instance	NOUN
ejpam-283	37	37	varma	varma	PROPN
ejpam-283	37	38	or	or	CCONJ
ejpam-283	37	39	stfe	stfe	NOUN
ejpam-283	37	40	models	model	NOUN
ejpam-283	37	41	.	.	PUNCT
ejpam-283	38	1	the	the	DET
ejpam-283	38	2	results	result	NOUN
ejpam-283	38	3	discussed	discuss	VERB
ejpam-283	38	4	in	in	ADP
ejpam-283	38	5	this	this	DET
ejpam-283	38	6	section	section	NOUN
ejpam-283	38	7	depend	depend	VERB
ejpam-283	38	8	on	on	ADP
ejpam-283	38	9	algebraic	algebraic	ADJ
ejpam-283	38	10	properties	property	NOUN
ejpam-283	38	11	that	that	PRON
ejpam-283	38	12	characterize	characterize	VERB
ejpam-283	38	13	rational	rational	ADJ
ejpam-283	38	14	functions	function	NOUN
ejpam-283	38	15	and	and	CCONJ
ejpam-283	38	16	which	which	PRON
ejpam-283	38	17	do	do	AUX
ejpam-283	38	18	not	not	PART
ejpam-283	38	19	depend	depend	VERB
ejpam-283	38	20	on	on	ADP
ejpam-283	38	21	the	the	DET
ejpam-283	38	22	location	location	NOUN
ejpam-283	38	23	of	of	ADP
ejpam-283	38	24	the	the	DET
ejpam-283	38	25	zeros	zero	NOUN
ejpam-283	38	26	in	in	ADP
ejpam-283	38	27	the	the	DET
ejpam-283	38	28	polynomials	polynomial	NOUN
ejpam-283	38	29	representing	represent	VERB
ejpam-283	38	30	them	they	PRON
ejpam-283	38	31	.	.	PUNCT
ejpam-283	39	1	the	the	DET
ejpam-283	39	2	large	large	ADJ
ejpam-283	39	3	number	number	NOUN
ejpam-283	39	4	of	of	ADP
ejpam-283	39	5	representations	representation	NOUN
ejpam-283	39	6	available	available	ADJ
ejpam-283	39	7	for	for	ADP
ejpam-283	39	8	a	a	DET
ejpam-283	39	9	rational	rational	ADJ
ejpam-283	39	10	matrix	matrix	NOUN
ejpam-283	39	11	function	function	NOUN
ejpam-283	39	12	,	,	PUNCT
ejpam-283	39	13	as	as	SCONJ
ejpam-283	39	14	compared	compare	VERB
ejpam-283	39	15	to	to	ADP
ejpam-283	39	16	a	a	DET
ejpam-283	39	17	scalar	scalar	ADJ
ejpam-283	39	18	one	one	NOUN
ejpam-283	39	19	,	,	PUNCT
ejpam-283	39	20	has	have	AUX
ejpam-283	39	21	resulted	result	VERB
ejpam-283	39	22	in	in	ADP
ejpam-283	39	23	several	several	ADJ
ejpam-283	39	24	new	new	ADJ
ejpam-283	39	25	concepts	concept	NOUN
ejpam-283	39	26	worthy	worthy	ADJ
ejpam-283	39	27	of	of	ADP
ejpam-283	39	28	detailed	detailed	ADJ
ejpam-283	39	29	study	study	NOUN
ejpam-283	39	30	.	.	PUNCT
ejpam-283	40	1	we	we	PRON
ejpam-283	40	2	have	have	AUX
ejpam-283	40	3	chosen	choose	VERB
ejpam-283	40	4	the	the	DET
ejpam-283	40	5	following	follow	VERB
ejpam-283	40	6	definitions	definition	NOUN
ejpam-283	40	7	for	for	ADP
ejpam-283	40	8	uniqueness	uniqueness	NOUN
ejpam-283	40	9	and	and	CCONJ
ejpam-283	40	10	minimum	minimum	ADJ
ejpam-283	40	11	degrees	degree	NOUN
ejpam-283	40	12	.	.	PUNCT
ejpam-283	41	1	definition	definition	NOUN
ejpam-283	41	2	1	1	NUM
ejpam-283	41	3	.	.	PUNCT
ejpam-283	42	1	we	we	PRON
ejpam-283	42	2	say	say	VERB
ejpam-283	42	3	that	that	SCONJ
ejpam-283	42	4	any	any	DET
ejpam-283	42	5	m×	m×	PROPN
ejpam-283	42	6	n	n	CCONJ
ejpam-283	42	7	rational	rational	ADJ
ejpam-283	42	8	matrix	matrix	NOUN
ejpam-283	42	9	function	function	NOUN
ejpam-283	42	10	f(z	f(z	PROPN
ejpam-283	42	11	)	)	PUNCT
ejpam-283	42	12	in	in	ADP
ejpam-283	42	13	the	the	DET
ejpam-283	42	14	complex	complex	ADJ
ejpam-283	42	15	domain	domain	NOUN
ejpam-283	42	16	has	have	VERB
ejpam-283	42	17	a	a	DET
ejpam-283	42	18	unique	unique	ADJ
ejpam-283	42	19	left	left	ADJ
ejpam-283	42	20	representation	representation	NOUN
ejpam-283	42	21	for	for	ADP
ejpam-283	42	22	(	(	PUNCT
ejpam-283	42	23	h	h	NOUN
ejpam-283	42	24	,	,	PUNCT
ejpam-283	42	25	g	g	NOUN
ejpam-283	42	26	)	)	PUNCT
ejpam-283	42	27	∈	∈	PROPN
ejpam-283	42	28	n2	n2	NOUN
ejpam-283	42	29	0	0	PUNCT
ejpam-283	43	1	if	if	SCONJ
ejpam-283	43	2	there	there	PRON
ejpam-283	43	3	exists	exist	VERB
ejpam-283	43	4	a	a	DET
ejpam-283	43	5	single	single	ADJ
ejpam-283	43	6	pair	pair	NOUN
ejpam-283	43	7	of	of	ADP
ejpam-283	43	8	matrix	matrix	NOUN
ejpam-283	43	9	polynomials	polynomial	NOUN
ejpam-283	43	10	n(z	n(z	NOUN
ejpam-283	43	11	)	)	PUNCT
ejpam-283	43	12	and	and	CCONJ
ejpam-283	43	13	d(z	d(z	NOUN
ejpam-283	43	14	)	)	PUNCT
ejpam-283	43	15	,	,	PUNCT
ejpam-283	43	16	called	call	VERB
ejpam-283	43	17	the	the	DET
ejpam-283	43	18	numerator	numerator	NOUN
ejpam-283	43	19	and	and	CCONJ
ejpam-283	43	20	the	the	DET
ejpam-283	43	21	denominator	denominator	NOUN
ejpam-283	43	22	respectively	respectively	ADV
ejpam-283	43	23	,	,	PUNCT
ejpam-283	43	24	of	of	ADP
ejpam-283	43	25	degrees	degree	NOUN
ejpam-283	43	26	bounded	bound	VERB
ejpam-283	43	27	by	by	ADP
ejpam-283	43	28	h	h	NOUN
ejpam-283	43	29	and	and	CCONJ
ejpam-283	43	30	g	g	NOUN
ejpam-283	43	31	respectively	respectively	ADV
ejpam-283	43	32	,	,	PUNCT
ejpam-283	43	33	such	such	ADJ
ejpam-283	43	34	that	that	DET
ejpam-283	43	35	f(z	f(z	PROPN
ejpam-283	43	36	)	)	PUNCT
ejpam-283	43	37	≡	≡	PROPN
ejpam-283	43	38	d−1(z)n(z	d−1(z)n(z	PROPN
ejpam-283	43	39	)	)	PUNCT
ejpam-283	43	40	and	and	CCONJ
ejpam-283	43	41	d(0)=i	d(0)=i	ADJ
ejpam-283	43	42	hold	hold	NOUN
ejpam-283	43	43	.	.	PUNCT
ejpam-283	44	1	we	we	PRON
ejpam-283	44	2	consider	consider	VERB
ejpam-283	44	3	n(z	n(z	NOUN
ejpam-283	44	4	)	)	PUNCT
ejpam-283	44	5	is	be	AUX
ejpam-283	44	6	an	an	DET
ejpam-283	44	7	m×	m×	PROPN
ejpam-283	44	8	n	n	PART
ejpam-283	44	9	matrix	matrix	VERB
ejpam-283	44	10	polynomial	polynomial	NOUN
ejpam-283	44	11	and	and	CCONJ
ejpam-283	44	12	d(z	d(z	NOUN
ejpam-283	44	13	)	)	PUNCT
ejpam-283	44	14	is	be	AUX
ejpam-283	44	15	an	an	DET
ejpam-283	44	16	m×m	m×m	ADJ
ejpam-283	44	17	matrix	matrix	NOUN
ejpam-283	44	18	polynomial	polynomial	NOUN
ejpam-283	44	19	.	.	PUNCT
ejpam-283	45	1	definition	definition	NOUN
ejpam-283	45	2	2	2	NUM
ejpam-283	45	3	.	.	PUNCT
ejpam-283	46	1	(	(	PUNCT
ejpam-283	46	2	q	q	X
ejpam-283	46	3	,	,	PUNCT
ejpam-283	46	4	p	p	NOUN
ejpam-283	46	5	)	)	PUNCT
ejpam-283	46	6	is	be	AUX
ejpam-283	46	7	said	say	VERB
ejpam-283	46	8	to	to	PART
ejpam-283	46	9	be	be	AUX
ejpam-283	46	10	a	a	DET
ejpam-283	46	11	pair	pair	NOUN
ejpam-283	46	12	of	of	ADP
ejpam-283	46	13	minimum	minimum	ADJ
ejpam-283	46	14	degrees	degree	NOUN
ejpam-283	46	15	(	(	PUNCT
ejpam-283	46	16	m.d	m.d	PROPN
ejpam-283	46	17	.	.	PROPN
ejpam-283	46	18	)	)	PUNCT
ejpam-283	46	19	for	for	ADP
ejpam-283	46	20	a	a	DET
ejpam-283	46	21	rational	rational	ADJ
ejpam-283	46	22	matrix	matrix	NOUN
ejpam-283	46	23	function	function	NOUN
ejpam-283	46	24	f(z	f(z	PROPN
ejpam-283	46	25	)	)	PUNCT
ejpam-283	46	26	if	if	SCONJ
ejpam-283	46	27	f(z	f(z	NOUN
ejpam-283	46	28	)	)	PUNCT
ejpam-283	46	29	≡	≡	PROPN
ejpam-283	46	30	r−1(z)s(z	r−1(z)s(z	NOUN
ejpam-283	46	31	)	)	PUNCT
ejpam-283	46	32	(	(	PUNCT
ejpam-283	46	33	where	where	SCONJ
ejpam-283	46	34	s(z	s(z	PROPN
ejpam-283	46	35	)	)	PUNCT
ejpam-283	46	36	and	and	CCONJ
ejpam-283	46	37	r(z	r(z	PROPN
ejpam-283	46	38	)	)	PUNCT
ejpam-283	46	39	are	be	AUX
ejpam-283	46	40	matrix	matrix	NOUN
ejpam-283	46	41	polynomials	polynomial	NOUN
ejpam-283	46	42	with	with	ADP
ejpam-283	46	43	degrees	degree	NOUN
ejpam-283	46	44	q	q	ADJ
ejpam-283	46	45	and	and	CCONJ
ejpam-283	46	46	p	p	NOUN
ejpam-283	46	47	respectively	respectively	ADV
ejpam-283	46	48	,	,	PUNCT
ejpam-283	46	49	r(0	r(0	PROPN
ejpam-283	46	50	)	)	PUNCT
ejpam-283	47	1	=	=	SYM
ejpam-283	47	2	i	i	PROPN
ejpam-283	47	3	)	)	PUNCT
ejpam-283	47	4	and	and	CCONJ
ejpam-283	47	5	in	in	ADP
ejpam-283	47	6	the	the	DET
ejpam-283	47	7	case	case	NOUN
ejpam-283	47	8	f(z	f(z	NOUN
ejpam-283	47	9	)	)	PUNCT
ejpam-283	47	10	≡	≡	PROPN
ejpam-283	47	11	d−1(z)n(z	d−1(z)n(z	NOUN
ejpam-283	47	12	)	)	PUNCT
ejpam-283	47	13	(	(	PUNCT
ejpam-283	47	14	where	where	SCONJ
ejpam-283	47	15	n(z	n(z	NOUN
ejpam-283	47	16	)	)	PUNCT
ejpam-283	47	17	and	and	CCONJ
ejpam-283	47	18	d(z	d(z	NOUN
ejpam-283	47	19	)	)	PUNCT
ejpam-283	47	20	are	be	AUX
ejpam-283	47	21	matrix	matrix	NOUN
ejpam-283	47	22	c.	c.	PROPN
ejpam-283	47	23	pestano	pestano	PROPN
ejpam-283	47	24	-	-	PUNCT
ejpam-283	47	25	gabino	gabino	PROPN
ejpam-283	47	26	,	,	PUNCT
ejpam-283	47	27	c.	c.	PROPN
ejpam-283	47	28	gonzález	gonzález	PROPN
ejpam-283	47	29	-	-	PUNCT
ejpam-283	47	30	concepción	concepción	NOUN
ejpam-283	47	31	,	,	PUNCT
ejpam-283	47	32	m.	m.	NOUN
ejpam-283	47	33	gil	gil	PROPN
ejpam-283	47	34	-	-	PROPN
ejpam-283	47	35	fariña	fariña	ADJ
ejpam-283	47	36	/	/	SYM
ejpam-283	47	37	eur	eur	NOUN
ejpam-283	47	38	.	.	PUNCT
ejpam-283	48	1	j.	j.	PROPN
ejpam-283	48	2	pure	pure	PROPN
ejpam-283	48	3	appl	appl	PROPN
ejpam-283	48	4	.	.	PROPN
ejpam-283	48	5	math	math	PROPN
ejpam-283	48	6	,	,	PUNCT
ejpam-283	48	7	3	3	NUM
ejpam-283	48	8	(	(	PUNCT
ejpam-283	48	9	2010	2010	NUM
ejpam-283	48	10	)	)	PUNCT
ejpam-283	48	11	,	,	PUNCT
ejpam-283	48	12	174	174	NUM
ejpam-283	48	13	-	-	SYM
ejpam-283	48	14	186	186	NUM
ejpam-283	48	15	176	176	NUM
ejpam-283	48	16	polynomials	polynomial	NOUN
ejpam-283	48	17	with	with	ADP
ejpam-283	48	18	degrees	degree	NOUN
ejpam-283	48	19	h	h	NOUN
ejpam-283	48	20	and	and	CCONJ
ejpam-283	48	21	g	g	NOUN
ejpam-283	48	22	respectively	respectively	ADV
ejpam-283	48	23	,	,	PUNCT
ejpam-283	48	24	d(0)=i	d(0)=i	ADJ
ejpam-283	48	25	)	)	PUNCT
ejpam-283	48	26	,	,	PUNCT
ejpam-283	48	27	h	h	NOUN
ejpam-283	48	28	<	<	X
ejpam-283	48	29	q	q	X
ejpam-283	48	30	implies	imply	VERB
ejpam-283	48	31	g	g	PROPN
ejpam-283	48	32	>	>	X
ejpam-283	48	33	p	p	PROPN
ejpam-283	48	34	and	and	CCONJ
ejpam-283	48	35	g	g	NOUN
ejpam-283	48	36	<	<	X
ejpam-283	48	37	p	p	X
ejpam-283	48	38	implies	imply	VERB
ejpam-283	48	39	h	h	X
ejpam-283	48	40	>	>	X
ejpam-283	48	41	q.	q.	NOUN
ejpam-283	48	42	the	the	DET
ejpam-283	48	43	results	result	NOUN
ejpam-283	48	44	and	and	CCONJ
ejpam-283	48	45	properties	property	NOUN
ejpam-283	48	46	presented	present	VERB
ejpam-283	48	47	in	in	ADP
ejpam-283	48	48	this	this	DET
ejpam-283	48	49	section	section	NOUN
ejpam-283	48	50	follow	follow	VERB
ejpam-283	48	51	from	from	ADP
ejpam-283	48	52	results	result	NOUN
ejpam-283	48	53	and	and	CCONJ
ejpam-283	48	54	properties	property	NOUN
ejpam-283	48	55	set	set	VERB
ejpam-283	48	56	forth	forth	ADV
ejpam-283	48	57	in	in	ADP
ejpam-283	48	58	[	[	X
ejpam-283	48	59	14	14	NUM
ejpam-283	48	60	]	]	PUNCT
ejpam-283	48	61	,	,	PUNCT
ejpam-283	48	62	which	which	PRON
ejpam-283	48	63	were	be	AUX
ejpam-283	48	64	written	write	VERB
ejpam-283	48	65	within	within	ADP
ejpam-283	48	66	the	the	DET
ejpam-283	48	67	scope	scope	NOUN
ejpam-283	48	68	of	of	ADP
ejpam-283	48	69	mpa	mpa	PROPN
ejpam-283	48	70	.	.	PUNCT
ejpam-283	49	1	they	they	PRON
ejpam-283	49	2	have	have	AUX
ejpam-283	49	3	been	be	AUX
ejpam-283	49	4	rewritten	rewrite	VERB
ejpam-283	49	5	and	and	CCONJ
ejpam-283	49	6	adapted	adapt	VERB
ejpam-283	49	7	so	so	SCONJ
ejpam-283	49	8	as	as	SCONJ
ejpam-283	49	9	to	to	PART
ejpam-283	49	10	be	be	AUX
ejpam-283	49	11	clearer	clear	ADJ
ejpam-283	49	12	and	and	CCONJ
ejpam-283	49	13	more	more	ADV
ejpam-283	49	14	practical	practical	ADJ
ejpam-283	49	15	in	in	ADP
ejpam-283	49	16	the	the	DET
ejpam-283	49	17	context	context	NOUN
ejpam-283	49	18	of	of	ADP
ejpam-283	49	19	multivariate	multivariate	NOUN
ejpam-283	49	20	time	time	NOUN
ejpam-283	49	21	series	series	PROPN
ejpam-283	49	22	.	.	PUNCT
ejpam-283	50	1	this	this	DET
ejpam-283	50	2	revision	revision	NOUN
ejpam-283	50	3	is	be	AUX
ejpam-283	50	4	not	not	PART
ejpam-283	50	5	obvious	obvious	ADJ
ejpam-283	50	6	.	.	PUNCT
ejpam-283	51	1	the	the	DET
ejpam-283	51	2	theoretical	theoretical	ADJ
ejpam-283	51	3	properties	property	NOUN
ejpam-283	51	4	of	of	ADP
ejpam-283	51	5	matrix	matrix	NOUN
ejpam-283	51	6	rational	rational	ADJ
ejpam-283	51	7	functions	function	NOUN
ejpam-283	51	8	suggest	suggest	VERB
ejpam-283	51	9	different	different	ADJ
ejpam-283	51	10	possibilities	possibility	NOUN
ejpam-283	51	11	:	:	PUNCT
ejpam-283	51	12	for	for	ADP
ejpam-283	51	13	instance	instance	NOUN
ejpam-283	51	14	,	,	PUNCT
ejpam-283	51	15	if	if	SCONJ
ejpam-283	51	16	we	we	PRON
ejpam-283	51	17	consider	consider	VERB
ejpam-283	51	18	the	the	DET
ejpam-283	51	19	varma	varma	PROPN
ejpam-283	51	20	models	model	NOUN
ejpam-283	51	21	as	as	ADP
ejpam-283	51	22	a	a	DET
ejpam-283	51	23	particular	particular	ADJ
ejpam-283	51	24	case	case	NOUN
ejpam-283	51	25	,	,	PUNCT
ejpam-283	51	26	we	we	PRON
ejpam-283	51	27	know	know	VERB
ejpam-283	51	28	that	that	SCONJ
ejpam-283	51	29	if	if	SCONJ
ejpam-283	51	30	x	x	PROPN
ejpam-283	51	31	t	t	PROPN
ejpam-283	51	32	follows	follow	VERB
ejpam-283	51	33	a	a	DET
ejpam-283	51	34	varma(p	varma(p	PROPN
ejpam-283	51	35	,	,	PUNCT
ejpam-283	51	36	q	q	NOUN
ejpam-283	51	37	)	)	PUNCT
ejpam-283	51	38	model	model	NOUN
ejpam-283	51	39	,	,	PUNCT
ejpam-283	51	40	a(l)x	a(l)x	PROPN
ejpam-283	51	41	t	t	PROPN
ejpam-283	51	42	=	=	SYM
ejpam-283	51	43	b(l)ǫt	b(l)ǫt	PROPN
ejpam-283	51	44	,	,	PUNCT
ejpam-283	51	45	(	(	PUNCT
ejpam-283	51	46	non	non	X
ejpam-283	51	47	necessarily	necessarily	ADV
ejpam-283	51	48	stationary	stationary	VERB
ejpam-283	51	49	,	,	PUNCT
ejpam-283	51	50	non	non	X
ejpam-283	51	51	necessarily	necessarily	ADV
ejpam-283	51	52	invertible)†	invertible)†	VERB
ejpam-283	51	53	where	where	SCONJ
ejpam-283	51	54	l	l	NOUN
ejpam-283	51	55	is	be	AUX
ejpam-283	51	56	the	the	DET
ejpam-283	51	57	backshift	backshift	NOUN
ejpam-283	51	58	operator	operator	NOUN
ejpam-283	51	59	(	(	PUNCT
ejpam-283	51	60	i.e.	i.e.	X
ejpam-283	51	61	x	x	X
ejpam-283	51	62	t−n	t−n	NOUN
ejpam-283	51	63	=	=	PUNCT
ejpam-283	51	64	lnx	lnx	PROPN
ejpam-283	51	65	t	t	PROPN
ejpam-283	51	66	)	)	PUNCT
ejpam-283	51	67	,	,	PUNCT
ejpam-283	51	68	ǫt	ǫt	PROPN
ejpam-283	51	69	a	a	DET
ejpam-283	51	70	vector	vector	NOUN
ejpam-283	51	71	white	white	ADJ
ejpam-283	51	72	noise	noise	NOUN
ejpam-283	51	73	process	process	NOUN
ejpam-283	51	74	such	such	ADJ
ejpam-283	51	75	that	that	SCONJ
ejpam-283	51	76	e(ǫt	e(ǫt	PROPN
ejpam-283	51	77	)	)	PUNCT
ejpam-283	51	78	=	=	SYM
ejpam-283	51	79	0	0	NUM
ejpam-283	51	80	,	,	PUNCT
ejpam-283	51	81	e(ǫtǫ	e(ǫtǫ	ADV
ejpam-283	51	82	′	′	NUM
ejpam-283	51	83	t	t	NOUN
ejpam-283	51	84	)	)	PUNCT
ejpam-283	51	85	=	=	SYM
ejpam-283	51	86	σ	σ	PROPN
ejpam-283	51	87	,	,	PUNCT
ejpam-283	51	88	e(ǫtǫ	e(ǫtǫ	ADV
ejpam-283	51	89	′	′	NUM
ejpam-283	51	90	t+	t+	NOUN
ejpam-283	51	91	f	f	NOUN
ejpam-283	51	92	)	)	PUNCT
ejpam-283	52	1	=	=	PUNCT
ejpam-283	52	2	0	0	PUNCT
ejpam-283	53	1	if	if	SCONJ
ejpam-283	53	2	f	f	PROPN
ejpam-283	53	3	6=	6=	PROPN
ejpam-283	53	4	0	0	NUM
ejpam-283	53	5	,	,	PUNCT
ejpam-283	53	6	a(z	a(z	NOUN
ejpam-283	53	7	)	)	PUNCT
ejpam-283	54	1	=	=	SYM
ejpam-283	55	1	p	p	NOUN
ejpam-283	55	2	∑	∑	PUNCT
ejpam-283	55	3	i=0	i=0	PROPN
ejpam-283	55	4	aiz	aiz	X
ejpam-283	55	5	i	i	PROPN
ejpam-283	55	6	,	,	PUNCT
ejpam-283	55	7	b(z	b(z	NOUN
ejpam-283	55	8	)	)	PUNCT
ejpam-283	55	9	=	=	PUNCT
ejpam-283	56	1	q	q	X
ejpam-283	56	2	∑	∑	PUNCT
ejpam-283	56	3	i=0	i=0	PROPN
ejpam-283	56	4	biz	biz	NOUN
ejpam-283	56	5	i	i	PRON
ejpam-283	56	6	,	,	PUNCT
ejpam-283	56	7	ap	ap	PROPN
ejpam-283	56	8	6=	6=	PROPN
ejpam-283	56	9	0	0	NUM
ejpam-283	56	10	,	,	PUNCT
ejpam-283	56	11	bq	bq	INTJ
ejpam-283	56	12	6=	6=	NUM
ejpam-283	56	13	0,a0	0,a0	NOUN
ejpam-283	56	14	=	=	SYM
ejpam-283	56	15	b0	b0	PROPN
ejpam-283	56	16	=	=	NOUN
ejpam-283	57	1	i	i	PROPN
ejpam-283	57	2	,	,	PUNCT
ejpam-283	57	3	ai	ai	VERB
ejpam-283	57	4	and	and	CCONJ
ejpam-283	57	5	b	b	PROPN
ejpam-283	57	6	j	j	PROPN
ejpam-283	57	7	(	(	PUNCT
ejpam-283	57	8	i	i	NOUN
ejpam-283	57	9	=	=	SYM
ejpam-283	57	10	1,2	1,2	NUM
ejpam-283	57	11	,	,	PUNCT
ejpam-283	57	12	...	...	PUNCT
ejpam-283	57	13	,	,	PUNCT
ejpam-283	58	1	p	p	X
ejpam-283	58	2	;	;	PUNCT
ejpam-283	58	3	j	j	PROPN
ejpam-283	58	4	=	=	SYM
ejpam-283	58	5	1,2	1,2	NUM
ejpam-283	58	6	,	,	PUNCT
ejpam-283	58	7	...	...	PUNCT
ejpam-283	58	8	,	,	PUNCT
ejpam-283	58	9	q	q	X
ejpam-283	58	10	)	)	PUNCT
ejpam-283	58	11	are	be	AUX
ejpam-283	58	12	k×	k×	PROPN
ejpam-283	58	13	k	k	PROPN
ejpam-283	58	14	matrices	matrix	NOUN
ejpam-283	58	15	;	;	PUNCT
ejpam-283	58	16	then	then	ADV
ejpam-283	58	17	:	:	PUNCT
ejpam-283	58	18	there	there	PRON
ejpam-283	58	19	exists	exist	VERB
ejpam-283	58	20	a	a	DET
ejpam-283	58	21	rational	rational	ADJ
ejpam-283	58	22	matrix	matrix	NOUN
ejpam-283	58	23	function	function	NOUN
ejpam-283	58	24	m(z	m(z	PROPN
ejpam-283	58	25	)	)	PUNCT
ejpam-283	58	26	,	,	PUNCT
ejpam-283	58	27	such	such	ADJ
ejpam-283	58	28	that	that	DET
ejpam-283	58	29	b(z)m(z	b(z)m(z	ADJ
ejpam-283	58	30	)	)	PUNCT
ejpam-283	58	31	≡	≡	PROPN
ejpam-283	58	32	a(z	a(z	PROPN
ejpam-283	58	33	)	)	PUNCT
ejpam-283	58	34	for	for	ADP
ejpam-283	58	35	any	any	DET
ejpam-283	58	36	z	z	NOUN
ejpam-283	58	37	that	that	PRON
ejpam-283	58	38	is	be	AUX
ejpam-283	58	39	not	not	PART
ejpam-283	58	40	a	a	DET
ejpam-283	58	41	pole	pole	NOUN
ejpam-283	58	42	of	of	ADP
ejpam-283	58	43	m(z	m(z	PROPN
ejpam-283	58	44	)	)	PUNCT
ejpam-283	58	45	.	.	PUNCT
ejpam-283	59	1	equivalently	equivalently	ADV
ejpam-283	59	2	,	,	PUNCT
ejpam-283	59	3	there	there	PRON
ejpam-283	59	4	also	also	ADV
ejpam-283	59	5	exists	exist	VERB
ejpam-283	59	6	a	a	DET
ejpam-283	59	7	rational	rational	ADJ
ejpam-283	59	8	matrix	matrix	NOUN
ejpam-283	59	9	function	function	NOUN
ejpam-283	59	10	w	w	PROPN
ejpam-283	59	11	(	(	PUNCT
ejpam-283	59	12	z	z	NOUN
ejpam-283	59	13	)	)	PUNCT
ejpam-283	59	14	,	,	PUNCT
ejpam-283	59	15	such	such	ADJ
ejpam-283	59	16	that	that	DET
ejpam-283	59	17	a(z)w	a(z)w	PROPN
ejpam-283	59	18	(	(	PUNCT
ejpam-283	59	19	z	z	NOUN
ejpam-283	59	20	)	)	PUNCT
ejpam-283	59	21	≡	≡	PROPN
ejpam-283	59	22	b(z	b(z	NOUN
ejpam-283	59	23	)	)	PUNCT
ejpam-283	59	24	for	for	ADP
ejpam-283	59	25	any	any	DET
ejpam-283	59	26	z	z	NOUN
ejpam-283	59	27	that	that	PRON
ejpam-283	59	28	is	be	AUX
ejpam-283	59	29	not	not	PART
ejpam-283	59	30	a	a	DET
ejpam-283	59	31	pole	pole	NOUN
ejpam-283	59	32	of	of	ADP
ejpam-283	59	33	w	w	PROPN
ejpam-283	59	34	(	(	PUNCT
ejpam-283	59	35	z	z	NOUN
ejpam-283	59	36	)	)	PUNCT
ejpam-283	59	37	.	.	PUNCT
ejpam-283	60	1	note	note	VERB
ejpam-283	60	2	that	that	SCONJ
ejpam-283	60	3	the	the	DET
ejpam-283	60	4	following	follow	VERB
ejpam-283	60	5	statements	statement	NOUN
ejpam-283	60	6	are	be	AUX
ejpam-283	60	7	equivalent	equivalent	ADJ
ejpam-283	60	8	:	:	PUNCT
ejpam-283	60	9	a	a	X
ejpam-283	60	10	)	)	PUNCT
ejpam-283	60	11	(	(	PUNCT
ejpam-283	60	12	p	p	X
ejpam-283	60	13	,	,	PUNCT
ejpam-283	60	14	q	q	NOUN
ejpam-283	60	15	)	)	PUNCT
ejpam-283	60	16	are	be	AUX
ejpam-283	60	17	m.d	m.d	PROPN
ejpam-283	60	18	.	.	PROPN
ejpam-283	60	19	for	for	ADP
ejpam-283	60	20	m(z	m(z	PROPN
ejpam-283	60	21	)	)	PUNCT
ejpam-283	60	22	;	;	PUNCT
ejpam-283	60	23	b	b	X
ejpam-283	60	24	)	)	PUNCT
ejpam-283	60	25	(	(	PUNCT
ejpam-283	60	26	q	q	X
ejpam-283	60	27	,	,	PUNCT
ejpam-283	60	28	p	p	NOUN
ejpam-283	60	29	)	)	PUNCT
ejpam-283	60	30	are	be	AUX
ejpam-283	60	31	m.d	m.d	PROPN
ejpam-283	60	32	.	.	PROPN
ejpam-283	60	33	for	for	ADP
ejpam-283	60	34	w	w	PROPN
ejpam-283	60	35	(	(	PUNCT
ejpam-283	60	36	z	z	NOUN
ejpam-283	60	37	)	)	PUNCT
ejpam-283	60	38	;	;	PUNCT
ejpam-283	60	39	c	c	X
ejpam-283	60	40	)	)	PUNCT
ejpam-283	60	41	(	(	PUNCT
ejpam-283	60	42	p	p	X
ejpam-283	60	43	,	,	PUNCT
ejpam-283	60	44	q	q	NOUN
ejpam-283	60	45	)	)	PUNCT
ejpam-283	60	46	are	be	AUX
ejpam-283	60	47	m.o	m.o	PROPN
ejpam-283	60	48	.	.	PROPN
ejpam-283	60	49	for	for	ADP
ejpam-283	60	50	the	the	DET
ejpam-283	60	51	varma	varma	PROPN
ejpam-283	60	52	representation	representation	NOUN
ejpam-283	60	53	of	of	ADP
ejpam-283	60	54	the	the	DET
ejpam-283	60	55	process	process	NOUN
ejpam-283	61	1	x	x	PROPN
ejpam-283	61	2	t	t	NOUN
ejpam-283	61	3	.	.	PUNCT
ejpam-283	62	1	in	in	ADP
ejpam-283	62	2	particular	particular	ADJ
ejpam-283	62	3	,	,	PUNCT
ejpam-283	62	4	we	we	PRON
ejpam-283	62	5	have	have	VERB
ejpam-283	62	6	the	the	DET
ejpam-283	62	7	following	follow	VERB
ejpam-283	62	8	results	result	NOUN
ejpam-283	62	9	:	:	PUNCT
ejpam-283	62	10	theorem	theorem	NOUN
ejpam-283	62	11	1	1	NUM
ejpam-283	62	12	.	.	PUNCT
ejpam-283	63	1	if	if	SCONJ
ejpam-283	63	2	x	x	PROPN
ejpam-283	63	3	t	t	PROPN
ejpam-283	63	4	is	be	AUX
ejpam-283	63	5	a	a	DET
ejpam-283	63	6	stationary	stationary	ADJ
ejpam-283	63	7	process	process	NOUN
ejpam-283	63	8	,	,	PUNCT
ejpam-283	63	9	the	the	DET
ejpam-283	63	10	following	follow	VERB
ejpam-283	63	11	statements	statement	NOUN
ejpam-283	63	12	are	be	AUX
ejpam-283	63	13	equivalent	equivalent	ADJ
ejpam-283	63	14	:	:	PUNCT
ejpam-283	63	15	a	a	PRON
ejpam-283	63	16	there	there	PRON
ejpam-283	63	17	exist	exist	VERB
ejpam-283	63	18	two	two	NUM
ejpam-283	63	19	matrix	matrix	NOUN
ejpam-283	63	20	polynomials	polynomial	NOUN
ejpam-283	63	21	a(z	a(z	NOUN
ejpam-283	63	22	)	)	PUNCT
ejpam-283	63	23	and	and	CCONJ
ejpam-283	63	24	b(z	b(z	NOUN
ejpam-283	63	25	)	)	PUNCT
ejpam-283	63	26	such	such	ADJ
ejpam-283	63	27	that	that	SCONJ
ejpam-283	63	28	x	x	PROPN
ejpam-283	63	29	t	t	NOUN
ejpam-283	63	30	can	can	AUX
ejpam-283	63	31	be	be	AUX
ejpam-283	63	32	represented	represent	VERB
ejpam-283	63	33	as	as	ADP
ejpam-283	63	34	a	a	DET
ejpam-283	63	35	varma(p	varma(p	PROPN
ejpam-283	63	36	,	,	PUNCT
ejpam-283	63	37	q	q	NOUN
ejpam-283	63	38	)	)	PUNCT
ejpam-283	63	39	model	model	NOUN
ejpam-283	63	40	a(l)x	a(l)x	PROPN
ejpam-283	63	41	t	t	PROPN
ejpam-283	63	42	=	=	SYM
ejpam-283	63	43	b(l)ǫt	b(l)ǫt	PROPN
ejpam-283	63	44	where	where	SCONJ
ejpam-283	63	45	(	(	PUNCT
ejpam-283	63	46	p	p	X
ejpam-283	63	47	,	,	PUNCT
ejpam-283	63	48	q	q	NOUN
ejpam-283	63	49	)	)	PUNCT
ejpam-283	63	50	are	be	AUX
ejpam-283	63	51	m.o	m.o	PROPN
ejpam-283	63	52	.	.	PROPN
ejpam-283	63	53	b	b	PROPN
ejpam-283	64	1	it	it	PRON
ejpam-283	64	2	holds	hold	VERB
ejpam-283	64	3	that	that	SCONJ
ejpam-283	64	4	x	x	PROPN
ejpam-283	64	5	t	t	PROPN
ejpam-283	64	6	=	=	SYM
ejpam-283	64	7	w	w	PROPN
ejpam-283	64	8	(	(	PUNCT
ejpam-283	64	9	l)ǫt	l)ǫt	PROPN
ejpam-283	64	10	,	,	PUNCT
ejpam-283	64	11	where	where	SCONJ
ejpam-283	64	12	w	w	PROPN
ejpam-283	64	13	(	(	PUNCT
ejpam-283	64	14	l	l	NOUN
ejpam-283	64	15	)	)	PUNCT
ejpam-283	64	16	≡	≡	PROPN
ejpam-283	64	17	a−1(l)b(l	a−1(l)b(l	PROPN
ejpam-283	64	18	)	)	PUNCT
ejpam-283	64	19	≡	≡	PROPN
ejpam-283	64	20	∞	∞	PROPN
ejpam-283	64	21	∑	∑	PUNCT
ejpam-283	64	22	j=0	j=0	PROPN
ejpam-283	64	23	wj	wj	PROPN
ejpam-283	64	24	l	l	PROPN
ejpam-283	64	25	j	j	PROPN
ejpam-283	64	26	,	,	PUNCT
ejpam-283	64	27	w0	w0	PROPN
ejpam-283	64	28	=	=	PROPN
ejpam-283	64	29	i	i	PROPN
ejpam-283	64	30	,	,	PUNCT
ejpam-283	64	31	wj	wj	PROPN
ejpam-283	64	32	being	be	AUX
ejpam-283	64	33	a	a	DET
ejpam-283	64	34	k×	k×	PROPN
ejpam-283	64	35	k	k	PROPN
ejpam-283	64	36	matrix	matrix	NOUN
ejpam-283	64	37	for	for	ADP
ejpam-283	64	38	j	j	PROPN
ejpam-283	64	39	=	=	SYM
ejpam-283	64	40	0,1	0,1	NUM
ejpam-283	64	41	...	...	PUNCT
ejpam-283	64	42	c	c	NOUN
ejpam-283	64	43	there	there	PRON
ejpam-283	64	44	exist	exist	VERB
ejpam-283	64	45	p	p	NOUN
ejpam-283	64	46	matrices	matrix	NOUN
ejpam-283	64	47	a1	a1	NOUN
ejpam-283	64	48	.	.	PUNCT
ejpam-283	64	49	.	.	PUNCT
ejpam-283	64	50	.	.	PUNCT
ejpam-283	65	1	ap	ap	PROPN
ejpam-283	65	2	such	such	ADJ
ejpam-283	65	3	that	that	DET
ejpam-283	65	4	ap	ap	PROPN
ejpam-283	65	5	6=	6=	ADP
ejpam-283	65	6	0	0	NUM
ejpam-283	65	7	,	,	PUNCT
ejpam-283	65	8	apcq−p+1+i+	apcq−p+1+i+	ADV
ejpam-283	65	9	...	...	PUNCT
ejpam-283	66	1	+	+	ADJ
ejpam-283	66	2	a1cq+i	a1cq+i	VERB
ejpam-283	66	3	=	=	SYM
ejpam-283	66	4	−cq+1+i	−cq+1+i	PROPN
ejpam-283	66	5	and	and	CCONJ
ejpam-283	66	6	apcq−p	apcq−p	PRON
ejpam-283	66	7	+	+	CCONJ
ejpam-283	66	8	...	...	PUNCT
ejpam-283	67	1	+	+	CCONJ
ejpam-283	68	1	a1cq−1	a1cq−1	NUM
ejpam-283	68	2	6=	6=	ADP
ejpam-283	68	3	−cq	−cq	NOUN
ejpam-283	68	4	for	for	ADP
ejpam-283	68	5	any	any	DET
ejpam-283	68	6	i	i	PRON
ejpam-283	68	7	≥	≥	NOUN
ejpam-283	68	8	0	0	NUM
ejpam-283	68	9	(	(	PUNCT
ejpam-283	68	10	yule	yule	NOUN
ejpam-283	68	11	-	-	PUNCT
ejpam-283	68	12	walker	walker	NOUN
ejpam-283	68	13	equations	equation	NOUN
ejpam-283	68	14	)	)	PUNCT
ejpam-283	68	15	.	.	PUNCT
ejpam-283	69	1	here	here	ADV
ejpam-283	69	2	ch	ch	NOUN
ejpam-283	69	3	represents	represent	VERB
ejpam-283	69	4	the	the	DET
ejpam-283	69	5	autocovariance	autocovariance	NOUN
ejpam-283	69	6	matrix	matrix	NOUN
ejpam-283	69	7	ch	ch	NOUN
ejpam-283	69	8	=	=	PUNCT
ejpam-283	69	9	cov(x	cov(x	PROPN
ejpam-283	69	10	t	t	PROPN
ejpam-283	69	11	,	,	PUNCT
ejpam-283	69	12	x	x	X
ejpam-283	69	13	t−h)(h	t−h)(h	PROPN
ejpam-283	69	14	∈	∈	PROPN
ejpam-283	69	15	z	z	PROPN
ejpam-283	69	16	)	)	PUNCT
ejpam-283	69	17	.	.	PUNCT
ejpam-283	70	1	d	d	NOUN
ejpam-283	70	2	given	give	VERB
ejpam-283	70	3	h	h	NOUN
ejpam-283	70	4	=	=	NOUN
ejpam-283	70	5	max{−q	max{−q	NOUN
ejpam-283	71	1	+	+	CCONJ
ejpam-283	71	2	p	p	DET
ejpam-283	71	3	−	−	PROPN
ejpam-283	71	4	1,0	1,0	NUM
ejpam-283	71	5	}	}	PUNCT
ejpam-283	71	6	and	and	CCONJ
ejpam-283	71	7	ch	ch	NOUN
ejpam-283	71	8	=	=	SYM
ejpam-283	71	9	cov(x	cov(x	PROPN
ejpam-283	71	10	t	t	PROPN
ejpam-283	71	11	,	,	PUNCT
ejpam-283	71	12	x	x	PUNCT
ejpam-283	71	13	t−h	t−h	NOUN
ejpam-283	71	14	)	)	PUNCT
ejpam-283	71	15	,	,	PUNCT
ejpam-283	71	16	there	there	PRON
ejpam-283	71	17	exist	exist	VERB
ejpam-283	71	18	c(−h)(z	c(−h)(z	NOUN
ejpam-283	71	19	)	)	PUNCT
ejpam-283	71	20	,	,	PUNCT
ejpam-283	71	21	a	a	DET
ejpam-283	71	22	rational	rational	ADJ
ejpam-283	71	23	matrix	matrix	NOUN
ejpam-283	71	24	function	function	NOUN
ejpam-283	71	25	with	with	ADP
ejpam-283	71	26	m.d	m.d	PROPN
ejpam-283	71	27	.	.	PUNCT
ejpam-283	72	1	(	(	PUNCT
ejpam-283	72	2	q+h	q+h	NUM
ejpam-283	72	3	,	,	PUNCT
ejpam-283	72	4	p	p	NOUN
ejpam-283	72	5	)	)	PUNCT
ejpam-283	72	6	,	,	PUNCT
ejpam-283	72	7	and	and	CCONJ
ejpam-283	72	8	hq+h(z	hq+h(z	PROPN
ejpam-283	72	9	)	)	PUNCT
ejpam-283	72	10	,	,	PUNCT
ejpam-283	72	11	a	a	DET
ejpam-283	72	12	matrix	matrix	NOUN
ejpam-283	72	13	polynomial	polynomial	NOUN
ejpam-283	72	14	of	of	ADP
ejpam-283	72	15	degree	degree	NOUN
ejpam-283	72	16	q+h	q+h	PROPN
ejpam-283	72	17	,	,	PUNCT
ejpam-283	72	18	fulfilling	fulfil	VERB
ejpam-283	72	19	a(z)c(−h)(z	a(z)c(−h)(z	NOUN
ejpam-283	72	20	)	)	PUNCT
ejpam-283	72	21	≡	≡	PROPN
ejpam-283	72	22	hq+h(z	hq+h(z	PROPN
ejpam-283	72	23	)	)	PUNCT
ejpam-283	72	24	whenever	whenever	SCONJ
ejpam-283	72	25	z	z	NOUN
ejpam-283	72	26	is	be	AUX
ejpam-283	72	27	not	not	PART
ejpam-283	72	28	a	a	DET
ejpam-283	72	29	pole	pole	NOUN
ejpam-283	72	30	of	of	ADP
ejpam-283	72	31	c(−h)(z	c(−h)(z	PROPN
ejpam-283	72	32	)	)	PUNCT
ejpam-283	72	33	≡	≡	PROPN
ejpam-283	72	34	∞	∞	PROPN
ejpam-283	72	35	∑	∑	PROPN
ejpam-283	72	36	i=0	i=0	PROPN
ejpam-283	72	37	ci−hz	ci−hz	NOUN
ejpam-283	73	1	i	i	X
ejpam-283	73	2	.	.	PUNCT
ejpam-283	74	1	e	e	X
ejpam-283	74	2	given	give	VERB
ejpam-283	74	3	a	a	DET
ejpam-283	74	4	g	g	PROPN
ejpam-283	74	5	≥	≥	NOUN
ejpam-283	74	6	max{−q+	max{−q+	NOUN
ejpam-283	74	7	p−	p−	NOUN
ejpam-283	74	8	1,0	1,0	NUM
ejpam-283	74	9	}	}	PUNCT
ejpam-283	74	10	and	and	CCONJ
ejpam-283	74	11	ch	ch	NOUN
ejpam-283	74	12	=	=	SYM
ejpam-283	74	13	cov(x	cov(x	PROPN
ejpam-283	74	14	t	t	PROPN
ejpam-283	74	15	,	,	PUNCT
ejpam-283	74	16	x	x	PUNCT
ejpam-283	74	17	t−h	t−h	NOUN
ejpam-283	74	18	)	)	PUNCT
ejpam-283	74	19	,	,	PUNCT
ejpam-283	74	20	there	there	PRON
ejpam-283	74	21	exist	exist	VERB
ejpam-283	74	22	c(−g)(z	c(−g)(z	PROPN
ejpam-283	74	23	)	)	PUNCT
ejpam-283	74	24	,	,	PUNCT
ejpam-283	74	25	a	a	DET
ejpam-283	74	26	rational	rational	ADJ
ejpam-283	74	27	matrix	matrix	NOUN
ejpam-283	74	28	function	function	NOUN
ejpam-283	74	29	with	with	ADP
ejpam-283	74	30	m.d	m.d	PROPN
ejpam-283	74	31	.	.	PUNCT
ejpam-283	75	1	(	(	PUNCT
ejpam-283	75	2	q+	q+	ADP
ejpam-283	75	3	g	g	NOUN
ejpam-283	75	4	,	,	PUNCT
ejpam-283	75	5	p	p	NOUN
ejpam-283	75	6	)	)	PUNCT
ejpam-283	75	7	,	,	PUNCT
ejpam-283	75	8	and	and	CCONJ
ejpam-283	75	9	hq+g(z	hq+g(z	PROPN
ejpam-283	75	10	)	)	PUNCT
ejpam-283	75	11	,	,	PUNCT
ejpam-283	75	12	a	a	DET
ejpam-283	75	13	matrix	matrix	NOUN
ejpam-283	75	14	polynomial	polynomial	NOUN
ejpam-283	75	15	of	of	ADP
ejpam-283	75	16	degree	degree	NOUN
ejpam-283	75	17	q+	q+	ADV
ejpam-283	75	18	g	g	NOUN
ejpam-283	75	19	,	,	PUNCT
ejpam-283	75	20	satisfying	satisfy	VERB
ejpam-283	75	21	a(z)c(−g)(z)≡	a(z)c(−g)(z)≡	PROPN
ejpam-283	75	22	hq+g(z	hq+g(z	PROPN
ejpam-283	75	23	)	)	PUNCT
ejpam-283	75	24	whenever	whenever	SCONJ
ejpam-283	75	25	z	z	NOUN
ejpam-283	75	26	is	be	AUX
ejpam-283	75	27	not	not	PART
ejpam-283	75	28	a	a	DET
ejpam-283	75	29	pole	pole	NOUN
ejpam-283	75	30	of	of	ADP
ejpam-283	75	31	c(−g)(z)≡	c(−g)(z)≡	PUNCT
ejpam-283	75	32	∞	∞	PROPN
ejpam-283	75	33	∑	∑	PUNCT
ejpam-283	75	34	i=0	i=0	PROPN
ejpam-283	75	35	ci−gz	ci−gz	NOUN
ejpam-283	75	36	i	i	PRON
ejpam-283	75	37	.	.	PUNCT
ejpam-283	76	1	†the	†the	DET
ejpam-283	76	2	x	x	X
ejpam-283	76	3	t	t	NOUN
ejpam-283	76	4	process	process	NOUN
ejpam-283	76	5	is	be	AUX
ejpam-283	76	6	stationary	stationary	ADJ
ejpam-283	76	7	if	if	SCONJ
ejpam-283	76	8	the	the	DET
ejpam-283	76	9	roots	root	NOUN
ejpam-283	76	10	of	of	ADP
ejpam-283	76	11	the	the	DET
ejpam-283	76	12	determinantal	determinantal	ADJ
ejpam-283	76	13	equation	equation	NOUN
ejpam-283	76	14	|a(z)|	|a(z)|	ADJ
ejpam-283	76	15	=	=	SYM
ejpam-283	76	16	0	0	NUM
ejpam-283	76	17	are	be	AUX
ejpam-283	76	18	outside	outside	ADP
ejpam-283	76	19	the	the	DET
ejpam-283	76	20	unit	unit	NOUN
ejpam-283	76	21	circle	circle	NOUN
ejpam-283	76	22	and	and	CCONJ
ejpam-283	76	23	it	it	PRON
ejpam-283	76	24	is	be	AUX
ejpam-283	76	25	invertible	invertible	ADJ
ejpam-283	76	26	if	if	SCONJ
ejpam-283	76	27	the	the	DET
ejpam-283	76	28	roots	root	NOUN
ejpam-283	76	29	of	of	ADP
ejpam-283	76	30	the	the	DET
ejpam-283	76	31	determinantal	determinantal	ADJ
ejpam-283	76	32	equation	equation	NOUN
ejpam-283	76	33	|b(z)|	|b(z)|	PROPN
ejpam-283	76	34	=	=	SYM
ejpam-283	76	35	0	0	NUM
ejpam-283	76	36	are	be	AUX
ejpam-283	76	37	outside	outside	ADP
ejpam-283	76	38	the	the	DET
ejpam-283	76	39	unit	unit	NOUN
ejpam-283	76	40	circle	circle	NOUN
ejpam-283	76	41	.	.	PUNCT
ejpam-283	77	1	c.	c.	PROPN
ejpam-283	77	2	pestano	pestano	PROPN
ejpam-283	77	3	-	-	PUNCT
ejpam-283	77	4	gabino	gabino	PROPN
ejpam-283	77	5	,	,	PUNCT
ejpam-283	77	6	c.	c.	PROPN
ejpam-283	77	7	gonzález	gonzález	PROPN
ejpam-283	77	8	-	-	PUNCT
ejpam-283	77	9	concepción	concepción	NOUN
ejpam-283	77	10	,	,	PUNCT
ejpam-283	77	11	m.	m.	NOUN
ejpam-283	77	12	gil	gil	PROPN
ejpam-283	77	13	-	-	PROPN
ejpam-283	77	14	fariña	fariña	ADJ
ejpam-283	77	15	/	/	SYM
ejpam-283	77	16	eur	eur	NOUN
ejpam-283	77	17	.	.	PUNCT
ejpam-283	78	1	j.	j.	PROPN
ejpam-283	78	2	pure	pure	PROPN
ejpam-283	78	3	appl	appl	PROPN
ejpam-283	78	4	.	.	PROPN
ejpam-283	78	5	math	math	PROPN
ejpam-283	78	6	,	,	PUNCT
ejpam-283	78	7	3	3	NUM
ejpam-283	78	8	(	(	PUNCT
ejpam-283	78	9	2010	2010	NUM
ejpam-283	78	10	)	)	PUNCT
ejpam-283	78	11	,	,	PUNCT
ejpam-283	78	12	174	174	NUM
ejpam-283	78	13	-	-	SYM
ejpam-283	78	14	186	186	NUM
ejpam-283	78	15	177	177	NUM
ejpam-283	78	16	the	the	DET
ejpam-283	78	17	proof	proof	NOUN
ejpam-283	78	18	is	be	AUX
ejpam-283	78	19	a	a	DET
ejpam-283	78	20	consequence	consequence	NOUN
ejpam-283	78	21	of	of	ADP
ejpam-283	78	22	i	i	PRON
ejpam-283	78	23	)	)	PUNCT
ejpam-283	78	24	the	the	DET
ejpam-283	78	25	recurrence	recurrence	NOUN
ejpam-283	78	26	relationships	relationship	NOUN
ejpam-283	78	27	that	that	PRON
ejpam-283	78	28	characterize	characterize	VERB
ejpam-283	78	29	a	a	DET
ejpam-283	78	30	rational	rational	ADJ
ejpam-283	78	31	matrix	matrix	NOUN
ejpam-283	78	32	function	function	NOUN
ejpam-283	78	33	,	,	PUNCT
ejpam-283	78	34	that	that	PRON
ejpam-283	78	35	is	be	AUX
ejpam-283	78	36	∃a(z	∃a(z	NOUN
ejpam-283	78	37	)	)	PUNCT
ejpam-283	78	38	and	and	CCONJ
ejpam-283	78	39	b(z	b(z	NOUN
ejpam-283	78	40	)	)	PUNCT
ejpam-283	78	41	such	such	ADJ
ejpam-283	78	42	that	that	SCONJ
ejpam-283	78	43	w	w	PROPN
ejpam-283	78	44	(	(	PUNCT
ejpam-283	78	45	z	z	NOUN
ejpam-283	78	46	)	)	PUNCT
ejpam-283	78	47	≡	≡	PROPN
ejpam-283	78	48	a−1(z)b(z	a−1(z)b(z	PROPN
ejpam-283	78	49	)	)	PUNCT
ejpam-283	78	50	iff	iff	PROPN
ejpam-283	78	51	apwq−p+1+i	apwq−p+1+i	PROPN
ejpam-283	78	52	+	+	CCONJ
ejpam-283	78	53	...	...	PUNCT
ejpam-283	79	1	+	+	ADJ
ejpam-283	79	2	a1wq+i	a1wq+i	X
ejpam-283	79	3	=	=	SYM
ejpam-283	79	4	−wq+i+1	−wq+i+1	ADP
ejpam-283	79	5	∀i	∀i	NOUN
ejpam-283	79	6	≥	≥	NOUN
ejpam-283	79	7	0	0	NUM
ejpam-283	79	8	and	and	CCONJ
ejpam-283	79	9	apwj−p	apwj−p	ADJ
ejpam-283	79	10	+	+	CCONJ
ejpam-283	79	11	...	...	PUNCT
ejpam-283	80	1	+	+	NUM
ejpam-283	80	2	a1wj−1	a1wj−1	NUM
ejpam-283	80	3	=	=	SYM
ejpam-283	80	4	b	b	PROPN
ejpam-283	80	5	j	j	PROPN
ejpam-283	80	6	,	,	PUNCT
ejpam-283	80	7	j	j	PROPN
ejpam-283	80	8	=	=	SYM
ejpam-283	80	9	0,1	0,1	NUM
ejpam-283	80	10	,	,	PUNCT
ejpam-283	80	11	...	...	PUNCT
ejpam-283	80	12	,	,	PUNCT
ejpam-283	80	13	q	q	NOUN
ejpam-283	80	14	;	;	PUNCT
ejpam-283	80	15	ii	ii	NOUN
ejpam-283	80	16	)	)	PUNCT
ejpam-283	80	17	results	result	NOUN
ejpam-283	80	18	in	in	ADP
ejpam-283	80	19	the	the	DET
ejpam-283	80	20	field	field	NOUN
ejpam-283	80	21	of	of	ADP
ejpam-283	80	22	mpa	mpa	PROPN
ejpam-283	80	23	:	:	PUNCT
ejpam-283	80	24	proposition	proposition	NOUN
ejpam-283	80	25	2	2	NUM
ejpam-283	80	26	and	and	CCONJ
ejpam-283	80	27	its	its	PRON
ejpam-283	80	28	corollaries	corollary	NOUN
ejpam-283	80	29	in	in	ADP
ejpam-283	80	30	[	[	X
ejpam-283	80	31	14	14	NUM
ejpam-283	80	32	]	]	SYM
ejpam-283	80	33	;	;	PUNCT
ejpam-283	80	34	iii	iii	X
ejpam-283	80	35	)	)	PUNCT
ejpam-283	80	36	the	the	DET
ejpam-283	80	37	fact	fact	NOUN
ejpam-283	80	38	that	that	SCONJ
ejpam-283	80	39	series	series	NOUN
ejpam-283	80	40	in	in	ADP
ejpam-283	80	41	l	l	PROPN
ejpam-283	80	42	can	can	AUX
ejpam-283	80	43	be	be	AUX
ejpam-283	80	44	treated	treat	VERB
ejpam-283	80	45	as	as	ADP
ejpam-283	80	46	formal	formal	ADJ
ejpam-283	80	47	power	power	NOUN
ejpam-283	80	48	series	series	NOUN
ejpam-283	80	49	in	in	ADP
ejpam-283	80	50	z	z	PROPN
ejpam-283	81	1	[	[	X
ejpam-283	81	2	2	2	NUM
ejpam-283	81	3	]	]	PUNCT
ejpam-283	81	4	.	.	PUNCT
ejpam-283	82	1	theorem	theorem	NOUN
ejpam-283	82	2	2	2	NUM
ejpam-283	82	3	.	.	PUNCT
ejpam-283	83	1	if	if	SCONJ
ejpam-283	83	2	x	x	PROPN
ejpam-283	83	3	t	t	PROPN
ejpam-283	83	4	is	be	AUX
ejpam-283	83	5	an	an	DET
ejpam-283	83	6	invertible	invertible	ADJ
ejpam-283	83	7	process	process	NOUN
ejpam-283	83	8	,	,	PUNCT
ejpam-283	83	9	the	the	DET
ejpam-283	83	10	following	follow	VERB
ejpam-283	83	11	statements	statement	NOUN
ejpam-283	83	12	are	be	AUX
ejpam-283	83	13	equivalent	equivalent	ADJ
ejpam-283	83	14	:	:	PUNCT
ejpam-283	83	15	a	a	PRON
ejpam-283	83	16	there	there	PRON
ejpam-283	83	17	exist	exist	VERB
ejpam-283	83	18	two	two	NUM
ejpam-283	83	19	matrix	matrix	NOUN
ejpam-283	83	20	polynomials	polynomial	NOUN
ejpam-283	83	21	a(z	a(z	NOUN
ejpam-283	83	22	)	)	PUNCT
ejpam-283	83	23	and	and	CCONJ
ejpam-283	83	24	b(z	b(z	NOUN
ejpam-283	83	25	)	)	PUNCT
ejpam-283	83	26	such	such	ADJ
ejpam-283	83	27	that	that	SCONJ
ejpam-283	83	28	x	x	PROPN
ejpam-283	83	29	t	t	NOUN
ejpam-283	83	30	can	can	AUX
ejpam-283	83	31	be	be	AUX
ejpam-283	83	32	represented	represent	VERB
ejpam-283	83	33	as	as	ADP
ejpam-283	83	34	a	a	DET
ejpam-283	83	35	varma(p	varma(p	PROPN
ejpam-283	83	36	,	,	PUNCT
ejpam-283	83	37	q	q	NOUN
ejpam-283	83	38	)	)	PUNCT
ejpam-283	83	39	model	model	NOUN
ejpam-283	83	40	a(l)x	a(l)x	PROPN
ejpam-283	83	41	t	t	PROPN
ejpam-283	83	42	=	=	SYM
ejpam-283	83	43	b(l)ǫt	b(l)ǫt	PROPN
ejpam-283	83	44	,	,	PUNCT
ejpam-283	83	45	where	where	SCONJ
ejpam-283	83	46	(	(	PUNCT
ejpam-283	83	47	p	p	X
ejpam-283	83	48	,	,	PUNCT
ejpam-283	83	49	q	q	NOUN
ejpam-283	83	50	)	)	PUNCT
ejpam-283	83	51	are	be	AUX
ejpam-283	83	52	m.o	m.o	PROPN
ejpam-283	83	53	.	.	PROPN
ejpam-283	83	54	b	b	PROPN
ejpam-283	84	1	m(l)x	m(l)x	PROPN
ejpam-283	84	2	t	t	PROPN
ejpam-283	84	3	=	=	SYM
ejpam-283	84	4	ǫt	ǫt	PROPN
ejpam-283	84	5	,	,	PUNCT
ejpam-283	84	6	where	where	SCONJ
ejpam-283	84	7	m(l	m(l	NOUN
ejpam-283	84	8	)	)	PUNCT
ejpam-283	84	9	≡	≡	PROPN
ejpam-283	84	10	b−1(l)a(l	b−1(l)a(l	NOUN
ejpam-283	84	11	)	)	PUNCT
ejpam-283	85	1	≡	≡	PROPN
ejpam-283	85	2	∞	∞	PROPN
ejpam-283	85	3	∑	∑	PUNCT
ejpam-283	85	4	j=0	j=0	PROPN
ejpam-283	85	5	m	m	PROPN
ejpam-283	85	6	j	j	PROPN
ejpam-283	85	7	l	l	PROPN
ejpam-283	85	8	j	j	PROPN
ejpam-283	85	9	,	,	PUNCT
ejpam-283	85	10	m0	m0	PROPN
ejpam-283	86	1	=	=	PUNCT
ejpam-283	86	2	i	i	INTJ
ejpam-283	86	3	,	,	PUNCT
ejpam-283	86	4	(	(	PUNCT
ejpam-283	86	5	m	m	AUX
ejpam-283	86	6	j	j	NOUN
ejpam-283	86	7	being	be	AUX
ejpam-283	86	8	a	a	DET
ejpam-283	86	9	k×	k×	PROPN
ejpam-283	86	10	k	k	PROPN
ejpam-283	86	11	matrix	matrix	NOUN
ejpam-283	86	12	for	for	ADP
ejpam-283	86	13	j	j	PROPN
ejpam-283	86	14	=	=	SYM
ejpam-283	86	15	0,1	0,1	NUM
ejpam-283	86	16	...	...	PUNCT
ejpam-283	86	17	)	)	PUNCT
ejpam-283	87	1	the	the	DET
ejpam-283	87	2	proof	proof	NOUN
ejpam-283	87	3	follows	follow	VERB
ejpam-283	87	4	from	from	ADP
ejpam-283	87	5	the	the	DET
ejpam-283	87	6	fact	fact	NOUN
ejpam-283	87	7	that	that	SCONJ
ejpam-283	87	8	m(l	m(l	NOUN
ejpam-283	87	9	)	)	PUNCT
ejpam-283	87	10	can	can	AUX
ejpam-283	87	11	be	be	AUX
ejpam-283	87	12	treated	treat	VERB
ejpam-283	87	13	as	as	ADP
ejpam-283	87	14	a	a	DET
ejpam-283	87	15	formal	formal	ADJ
ejpam-283	87	16	power	power	NOUN
ejpam-283	87	17	series	series	NOUN
ejpam-283	87	18	in	in	ADP
ejpam-283	87	19	z	z	PROPN
ejpam-283	87	20	,	,	PUNCT
ejpam-283	87	21	as	as	ADV
ejpam-283	87	22	well	well	ADV
ejpam-283	87	23	as	as	ADP
ejpam-283	87	24	from	from	ADP
ejpam-283	87	25	the	the	DET
ejpam-283	87	26	recurrence	recurrence	NOUN
ejpam-283	87	27	relationships	relationship	NOUN
ejpam-283	87	28	that	that	PRON
ejpam-283	87	29	characterize	characterize	VERB
ejpam-283	87	30	a	a	DET
ejpam-283	87	31	rational	rational	ADJ
ejpam-283	87	32	matrix	matrix	NOUN
ejpam-283	87	33	function	function	NOUN
ejpam-283	87	34	,	,	PUNCT
ejpam-283	87	35	that	that	ADV
ejpam-283	87	36	is	is	ADV
ejpam-283	87	37	,	,	PUNCT
ejpam-283	87	38	∃a(z	∃a(z	PROPN
ejpam-283	87	39	)	)	PUNCT
ejpam-283	87	40	and	and	CCONJ
ejpam-283	87	41	b(z	b(z	NOUN
ejpam-283	87	42	)	)	PUNCT
ejpam-283	87	43	such	such	ADJ
ejpam-283	87	44	that	that	SCONJ
ejpam-283	87	45	m(z	m(z	PROPN
ejpam-283	87	46	)	)	PUNCT
ejpam-283	87	47	≡	≡	PROPN
ejpam-283	87	48	b−1(z)a(z	b−1(z)a(z	PROPN
ejpam-283	87	49	)	)	PUNCT
ejpam-283	87	50	iff	iff	PROPN
ejpam-283	87	51	bqmp−q+1+i+	bqmp−q+1+i+	NOUN
ejpam-283	87	52	...	...	PUNCT
ejpam-283	87	53	+	+	X
ejpam-283	87	54	b1mp+i	b1mp+i	NOUN
ejpam-283	87	55	=	=	SYM
ejpam-283	87	56	−mp+1+i	−mp+1+i	PROPN
ejpam-283	87	57	∀i	∀i	NOUN
ejpam-283	87	58	≥	≥	NOUN
ejpam-283	87	59	0	0	NUM
ejpam-283	87	60	and	and	CCONJ
ejpam-283	87	61	bqm	bqm	PROPN
ejpam-283	87	62	j−q	j−q	PROPN
ejpam-283	87	63	+	+	CCONJ
ejpam-283	87	64	...	...	PUNCT
ejpam-283	88	1	+	+	CCONJ
ejpam-283	88	2	b1	b1	NOUN
ejpam-283	88	3	m	m	NOUN
ejpam-283	88	4	j−1	j−1	NOUN
ejpam-283	88	5	=	=	PUNCT
ejpam-283	88	6	a	a	DET
ejpam-283	88	7	j	j	PROPN
ejpam-283	88	8	,	,	PUNCT
ejpam-283	88	9	j	j	PROPN
ejpam-283	88	10	=	=	SYM
ejpam-283	88	11	0,1	0,1	NUM
ejpam-283	88	12	,	,	PUNCT
ejpam-283	88	13	...	...	PUNCT
ejpam-283	88	14	,	,	PUNCT
ejpam-283	88	15	p.	p.	NOUN
ejpam-283	88	16	in	in	ADP
ejpam-283	88	17	some	some	DET
ejpam-283	88	18	situations	situation	NOUN
ejpam-283	88	19	we	we	PRON
ejpam-283	88	20	may	may	AUX
ejpam-283	88	21	also	also	ADV
ejpam-283	88	22	consider	consider	VERB
ejpam-283	88	23	the	the	DET
ejpam-283	88	24	case	case	NOUN
ejpam-283	88	25	k	k	NOUN
ejpam-283	88	26	=	=	PUNCT
ejpam-283	88	27	k1	k1	PROPN
ejpam-283	88	28	+	+	X
ejpam-283	88	29	k2	k2	NOUN
ejpam-283	88	30	,	,	PUNCT
ejpam-283	88	31	with	with	ADP
ejpam-283	88	32	k1	k1	NOUN
ejpam-283	88	33	and	and	CCONJ
ejpam-283	88	34	k2	k2	NOUN
ejpam-283	88	35	representing	represent	VERB
ejpam-283	88	36	the	the	DET
ejpam-283	88	37	number	number	NOUN
ejpam-283	88	38	of	of	ADP
ejpam-283	88	39	endogenous	endogenous	ADJ
ejpam-283	88	40	and	and	CCONJ
ejpam-283	88	41	exogenous	exogenous	ADJ
ejpam-283	88	42	variables	variable	NOUN
ejpam-283	88	43	,	,	PUNCT
ejpam-283	88	44	respectively	respectively	ADV
ejpam-283	88	45	,	,	PUNCT
ejpam-283	88	46	in	in	ADP
ejpam-283	88	47	x	x	PROPN
ejpam-283	88	48	t	t	NOUN
ejpam-283	88	49	.	.	PUNCT
ejpam-283	89	1	if	if	SCONJ
ejpam-283	89	2	yt	yt	PROPN
ejpam-283	89	3	is	be	AUX
ejpam-283	89	4	the	the	DET
ejpam-283	89	5	k1	k1	NOUN
ejpam-283	89	6	-	-	PUNCT
ejpam-283	89	7	endogenous	endogenous	ADJ
ejpam-283	89	8	vector	vector	NOUN
ejpam-283	89	9	,	,	PUNCT
ejpam-283	89	10	zt	zt	PROPN
ejpam-283	89	11	is	be	AUX
ejpam-283	89	12	the	the	DET
ejpam-283	89	13	k2	k2	ADJ
ejpam-283	89	14	-	-	PUNCT
ejpam-283	89	15	exogenous	exogenous	ADJ
ejpam-283	89	16	vector	vector	NOUN
ejpam-283	89	17	and	and	CCONJ
ejpam-283	89	18	the	the	DET
ejpam-283	89	19	process	process	NOUN
ejpam-283	89	20	is	be	AUX
ejpam-283	89	21	invertible	invertible	ADJ
ejpam-283	89	22	,	,	PUNCT
ejpam-283	89	23	then	then	ADV
ejpam-283	89	24	we	we	PRON
ejpam-283	89	25	have	have	VERB
ejpam-283	89	26	a	a	DET
ejpam-283	89	27	stfe	stfe	NOUN
ejpam-283	89	28	given	give	VERB
ejpam-283	89	29	by	by	ADP
ejpam-283	89	30	yt	yt	PRON
ejpam-283	89	31	=	=	SYM
ejpam-283	89	32	v	v	NOUN
ejpam-283	89	33	(	(	PUNCT
ejpam-283	89	34	l)zt	l)zt	PROPN
ejpam-283	89	35	+	+	PROPN
ejpam-283	89	36	ut	ut	PROPN
ejpam-283	89	37	with	with	ADP
ejpam-283	89	38	v	v	PROPN
ejpam-283	89	39	(	(	PUNCT
ejpam-283	89	40	l	l	NOUN
ejpam-283	89	41	)	)	PUNCT
ejpam-283	89	42	=	=	SYM
ejpam-283	90	1	∞	∞	NUM
ejpam-283	90	2	∑	∑	PUNCT
ejpam-283	90	3	i=0	i=0	PROPN
ejpam-283	90	4	vi	vi	PROPN
ejpam-283	90	5	l	l	NOUN
ejpam-283	90	6	i	i	PRON
ejpam-283	90	7	and	and	CCONJ
ejpam-283	90	8	vi	vi	X
ejpam-283	90	9	a	a	DET
ejpam-283	90	10	general	general	ADJ
ejpam-283	90	11	matrix	matrix	NOUN
ejpam-283	90	12	for	for	ADP
ejpam-283	90	13	any	any	DET
ejpam-283	90	14	i	i	PROPN
ejpam-283	90	15	∈	∈	PROPN
ejpam-283	90	16	n0	n0	NOUN
ejpam-283	91	1	[	[	X
ejpam-283	91	2	19	19	NUM
ejpam-283	91	3	]	]	PUNCT
ejpam-283	91	4	.	.	PUNCT
ejpam-283	92	1	it	it	PRON
ejpam-283	92	2	would	would	AUX
ejpam-283	92	3	be	be	AUX
ejpam-283	92	4	interesting	interesting	ADJ
ejpam-283	92	5	to	to	PART
ejpam-283	92	6	determine	determine	VERB
ejpam-283	92	7	the	the	DET
ejpam-283	92	8	m.o	m.o	PROPN
ejpam-283	92	9	.	.	PROPN
ejpam-283	92	10	of	of	ADP
ejpam-283	92	11	lag	lag	NOUN
ejpam-283	92	12	matrix	matrix	NOUN
ejpam-283	92	13	polynomials	polynomial	NOUN
ejpam-283	92	14	,	,	PUNCT
ejpam-283	92	15	which	which	PRON
ejpam-283	92	16	represent	represent	VERB
ejpam-283	92	17	v	v	NUM
ejpam-283	92	18	(	(	PUNCT
ejpam-283	92	19	l	l	NOUN
ejpam-283	92	20	)	)	PUNCT
ejpam-283	92	21	in	in	ADP
ejpam-283	92	22	rational	rational	ADJ
ejpam-283	92	23	form	form	NOUN
ejpam-283	92	24	,	,	PUNCT
ejpam-283	92	25	and	and	CCONJ
ejpam-283	92	26	investigate	investigate	VERB
ejpam-283	92	27	the	the	DET
ejpam-283	92	28	identifiability	identifiability	NOUN
ejpam-283	92	29	of	of	ADP
ejpam-283	92	30	the	the	DET
ejpam-283	92	31	corresponding	corresponding	ADJ
ejpam-283	92	32	representation	representation	NOUN
ejpam-283	92	33	.	.	PUNCT
ejpam-283	93	1	in	in	ADP
ejpam-283	93	2	both	both	DET
ejpam-283	93	3	contexts	context	NOUN
ejpam-283	93	4	of	of	ADP
ejpam-283	93	5	varma	varma	PROPN
ejpam-283	93	6	and	and	CCONJ
ejpam-283	93	7	stfe	stfe	NOUN
ejpam-283	93	8	models	model	NOUN
ejpam-283	93	9	,	,	PUNCT
ejpam-283	93	10	as	as	ADV
ejpam-283	93	11	well	well	ADV
ejpam-283	93	12	as	as	ADP
ejpam-283	93	13	in	in	ADP
ejpam-283	93	14	other	other	ADJ
ejpam-283	93	15	model	model	NOUN
ejpam-283	93	16	contexts	contexts	NOUN
ejpam-283	93	17	involving	involve	VERB
ejpam-283	93	18	multivariate	multivariate	NOUN
ejpam-283	93	19	series	series	NOUN
ejpam-283	93	20	,	,	PUNCT
ejpam-283	93	21	a	a	DET
ejpam-283	93	22	central	central	ADJ
ejpam-283	93	23	question	question	NOUN
ejpam-283	93	24	is	be	AUX
ejpam-283	93	25	to	to	PART
ejpam-283	93	26	determine	determine	VERB
ejpam-283	93	27	whether	whether	SCONJ
ejpam-283	93	28	or	or	CCONJ
ejpam-283	93	29	not	not	PART
ejpam-283	93	30	the	the	DET
ejpam-283	93	31	model	model	NOUN
ejpam-283	93	32	(	(	PUNCT
ejpam-283	93	33	or	or	CCONJ
ejpam-283	93	34	the	the	DET
ejpam-283	93	35	associated	associated	ADJ
ejpam-283	93	36	matrix	matrix	NOUN
ejpam-283	93	37	formal	formal	ADJ
ejpam-283	93	38	power	power	NOUN
ejpam-283	93	39	series	series	NOUN
ejpam-283	93	40	in	in	ADP
ejpam-283	93	41	z	z	PROPN
ejpam-283	93	42	:	:	PUNCT
ejpam-283	93	43	w	w	PROPN
ejpam-283	93	44	(	(	PUNCT
ejpam-283	93	45	z	z	NOUN
ejpam-283	93	46	)	)	PUNCT
ejpam-283	93	47	,	,	PUNCT
ejpam-283	93	48	m(z	m(z	PROPN
ejpam-283	93	49	)	)	PUNCT
ejpam-283	93	50	,	,	PUNCT
ejpam-283	93	51	c(−g)(z	c(−g)(z	PROPN
ejpam-283	93	52	)	)	PUNCT
ejpam-283	93	53	,	,	PUNCT
ejpam-283	93	54	v	v	X
ejpam-283	93	55	(	(	PUNCT
ejpam-283	93	56	z	z	NOUN
ejpam-283	93	57	)	)	PUNCT
ejpam-283	93	58	,	,	PUNCT
ejpam-283	93	59	etc	etc	X
ejpam-283	93	60	)	)	PUNCT
ejpam-283	93	61	can	can	AUX
ejpam-283	93	62	be	be	AUX
ejpam-283	93	63	characterized	characterize	VERB
ejpam-283	93	64	by	by	ADP
ejpam-283	93	65	rational	rational	ADJ
ejpam-283	93	66	,	,	PUNCT
ejpam-283	93	67	identifiable	identifiable	ADJ
ejpam-283	93	68	and	and	CCONJ
ejpam-283	93	69	m.o	m.o	PROPN
ejpam-283	93	70	.	.	PROPN
ejpam-283	93	71	representations	representations	PROPN
ejpam-283	93	72	.	.	PUNCT
ejpam-283	94	1	note	note	VERB
ejpam-283	94	2	that	that	SCONJ
ejpam-283	94	3	identifiable	identifiable	ADJ
ejpam-283	94	4	representations	representation	NOUN
ejpam-283	94	5	do	do	AUX
ejpam-283	94	6	not	not	PART
ejpam-283	94	7	always	always	ADV
ejpam-283	94	8	exist	exist	VERB
ejpam-283	94	9	for	for	ADP
ejpam-283	94	10	given	give	VERB
ejpam-283	94	11	pairs	pair	NOUN
ejpam-283	94	12	of	of	ADP
ejpam-283	94	13	m.o	m.o	NOUN
ejpam-283	94	14	.	.	PUNCT
ejpam-283	95	1	in	in	ADP
ejpam-283	95	2	order	order	NOUN
ejpam-283	95	3	to	to	PART
ejpam-283	95	4	answer	answer	VERB
ejpam-283	95	5	this	this	DET
ejpam-283	95	6	question	question	NOUN
ejpam-283	95	7	,	,	PUNCT
ejpam-283	95	8	let	let	VERB
ejpam-283	95	9	us	we	PRON
ejpam-283	95	10	denote	denote	VERB
ejpam-283	95	11	by	by	ADP
ejpam-283	95	12	f(z	f(z	PROPN
ejpam-283	95	13	)	)	PUNCT
ejpam-283	96	1	=	=	SYM
ejpam-283	96	2	∞	∞	NUM
ejpam-283	96	3	∑	∑	PUNCT
ejpam-283	96	4	k=0	k=0	PROPN
ejpam-283	96	5	ck	ck	PROPN
ejpam-283	96	6	zk	zk	PROPN
ejpam-283	96	7	,	,	PUNCT
ejpam-283	96	8	ck	ck	PROPN
ejpam-283	96	9	∈	∈	PROPN
ejpam-283	96	10	c	c	PROPN
ejpam-283	96	11	mxn	mxn	PROPN
ejpam-283	96	12	,	,	PUNCT
ejpam-283	96	13	z	z	PROPN
ejpam-283	96	14	∈	∈	PROPN
ejpam-283	97	1	c	c	X
ejpam-283	97	2	,	,	PUNCT
ejpam-283	97	3	(	(	PUNCT
ejpam-283	97	4	1	1	X
ejpam-283	97	5	)	)	PUNCT
ejpam-283	97	6	the	the	DET
ejpam-283	97	7	associated	associated	ADJ
ejpam-283	97	8	matrix	matrix	NOUN
ejpam-283	97	9	formal	formal	ADJ
ejpam-283	97	10	power	power	NOUN
ejpam-283	97	11	series	series	NOUN
ejpam-283	97	12	and	and	CCONJ
ejpam-283	97	13	define	define	VERB
ejpam-283	97	14	two	two	NUM
ejpam-283	97	15	tables	table	NOUN
ejpam-283	97	16	,	,	PUNCT
ejpam-283	97	17	table	table	NOUN
ejpam-283	97	18	1	1	NUM
ejpam-283	97	19	and	and	CCONJ
ejpam-283	97	20	table	table	NOUN
ejpam-283	97	21	2	2	NUM
ejpam-283	98	1	[	[	X
ejpam-283	98	2	12	12	NUM
ejpam-283	98	3	,	,	PUNCT
ejpam-283	98	4	14	14	NUM
ejpam-283	98	5	]	]	PUNCT
ejpam-283	98	6	.	.	PUNCT
ejpam-283	99	1	next	next	ADV
ejpam-283	99	2	,	,	PUNCT
ejpam-283	99	3	we	we	PRON
ejpam-283	99	4	will	will	AUX
ejpam-283	99	5	remember	remember	VERB
ejpam-283	99	6	some	some	PRON
ejpam-283	99	7	of	of	ADP
ejpam-283	99	8	their	their	PRON
ejpam-283	99	9	properties	property	NOUN
ejpam-283	99	10	and	and	CCONJ
ejpam-283	99	11	later	later	ADV
ejpam-283	99	12	,	,	PUNCT
ejpam-283	99	13	we	we	PRON
ejpam-283	99	14	will	will	AUX
ejpam-283	99	15	see	see	VERB
ejpam-283	99	16	the	the	DET
ejpam-283	99	17	new	new	ADJ
ejpam-283	99	18	and	and	CCONJ
ejpam-283	99	19	practical	practical	ADJ
ejpam-283	99	20	utility	utility	NOUN
ejpam-283	99	21	of	of	ADP
ejpam-283	99	22	these	these	DET
ejpam-283	99	23	properties	property	NOUN
ejpam-283	99	24	in	in	ADP
ejpam-283	99	25	varma	varma	PROPN
ejpam-283	99	26	models	model	NOUN
ejpam-283	99	27	identification	identification	NOUN
ejpam-283	99	28	.	.	PUNCT
ejpam-283	100	1	table	table	NOUN
ejpam-283	100	2	1	1	NUM
ejpam-283	100	3	.	.	PUNCT
ejpam-283	101	1	the	the	DET
ejpam-283	101	2	value	value	NOUN
ejpam-283	101	3	t1(i	t1(i	PROPN
ejpam-283	101	4	,	,	PUNCT
ejpam-283	101	5	j	j	NOUN
ejpam-283	101	6	)	)	PUNCT
ejpam-283	101	7	≡	≡	PROPN
ejpam-283	101	8	rank((ci−	rank((ci−	PROPN
ejpam-283	101	9	j+h+k−1	j+h+k−1	NOUN
ejpam-283	101	10	)	)	PUNCT
ejpam-283	102	1	j	j	PROPN
ejpam-283	102	2	h	h	NOUN
ejpam-283	102	3	,	,	PUNCT
ejpam-283	102	4	k=1	k=1	PROPN
ejpam-283	102	5	)	)	PUNCT
ejpam-283	102	6	is	be	AUX
ejpam-283	102	7	placed	place	VERB
ejpam-283	102	8	in	in	ADP
ejpam-283	102	9	each	each	DET
ejpam-283	102	10	cell	cell	NOUN
ejpam-283	102	11	(	(	PUNCT
ejpam-283	102	12	i	i	PROPN
ejpam-283	102	13	,	,	PUNCT
ejpam-283	102	14	j	j	PROPN
ejpam-283	102	15	)	)	PUNCT
ejpam-283	102	16	of	of	ADP
ejpam-283	102	17	table	table	NOUN
ejpam-283	102	18	1	1	NUM
ejpam-283	102	19	,	,	PUNCT
ejpam-283	102	20	i.e.	i.e.	X
ejpam-283	102	21	at	at	ADP
ejpam-283	102	22	the	the	DET
ejpam-283	102	23	intersection	intersection	NOUN
ejpam-283	102	24	of	of	ADP
ejpam-283	102	25	the	the	DET
ejpam-283	102	26	i	i	PROPN
ejpam-283	102	27	th	th	X
ejpam-283	102	28	column	column	NOUN
ejpam-283	102	29	with	with	ADP
ejpam-283	102	30	the	the	DET
ejpam-283	102	31	j	j	PROPN
ejpam-283	102	32	th	th	X
ejpam-283	102	33	row	row	NOUN
ejpam-283	102	34	.	.	PUNCT
ejpam-283	103	1	by	by	ADP
ejpam-283	103	2	convention	convention	NOUN
ejpam-283	103	3	,	,	PUNCT
ejpam-283	103	4	we	we	PRON
ejpam-283	103	5	set	set	VERB
ejpam-283	103	6	c−i	c−i	VERB
ejpam-283	103	7	=	=	SYM
ejpam-283	103	8	0	0	NUM
ejpam-283	103	9	∀i	∀i	NOUN
ejpam-283	103	10	∈	∈	NOUN
ejpam-283	103	11	n	n	CCONJ
ejpam-283	103	12	,	,	PUNCT
ejpam-283	103	13	t1(i	t1(i	NOUN
ejpam-283	103	14	,	,	PUNCT
ejpam-283	103	15	0	0	NUM
ejpam-283	103	16	)	)	PUNCT
ejpam-283	103	17	=	=	SYM
ejpam-283	103	18	0	0	NUM
ejpam-283	103	19	∀i	∀i	NOUN
ejpam-283	103	20	∈	∈	PROPN
ejpam-283	103	21	n0	n0	PROPN
ejpam-283	103	22	.	.	PUNCT
ejpam-283	104	1	c.	c.	PROPN
ejpam-283	104	2	pestano	pestano	PROPN
ejpam-283	104	3	-	-	PUNCT
ejpam-283	104	4	gabino	gabino	PROPN
ejpam-283	104	5	,	,	PUNCT
ejpam-283	104	6	c.	c.	PROPN
ejpam-283	104	7	gonzález	gonzález	PROPN
ejpam-283	104	8	-	-	PUNCT
ejpam-283	104	9	concepción	concepción	NOUN
ejpam-283	104	10	,	,	PUNCT
ejpam-283	104	11	m.	m.	NOUN
ejpam-283	104	12	gil	gil	PROPN
ejpam-283	104	13	-	-	PROPN
ejpam-283	104	14	fariña	fariña	ADJ
ejpam-283	104	15	/	/	SYM
ejpam-283	104	16	eur	eur	NOUN
ejpam-283	104	17	.	.	PUNCT
ejpam-283	105	1	j.	j.	PROPN
ejpam-283	105	2	pure	pure	PROPN
ejpam-283	105	3	appl	appl	PROPN
ejpam-283	105	4	.	.	PROPN
ejpam-283	105	5	math	math	PROPN
ejpam-283	105	6	,	,	PUNCT
ejpam-283	105	7	3	3	NUM
ejpam-283	105	8	(	(	PUNCT
ejpam-283	105	9	2010	2010	NUM
ejpam-283	105	10	)	)	PUNCT
ejpam-283	105	11	,	,	PUNCT
ejpam-283	105	12	174	174	NUM
ejpam-283	105	13	-	-	SYM
ejpam-283	105	14	186	186	NUM
ejpam-283	105	15	178	178	NUM
ejpam-283	105	16	definition	definition	NOUN
ejpam-283	105	17	3	3	NUM
ejpam-283	105	18	.	.	PUNCT
ejpam-283	106	1	the	the	DET
ejpam-283	106	2	set	set	ADJ
ejpam-283	106	3	r1=	r1=	NOUN
ejpam-283	106	4	¦	¦	PROPN
ejpam-283	106	5	(	(	PUNCT
ejpam-283	106	6	i	i	PROPN
ejpam-283	106	7	,	,	PUNCT
ejpam-283	106	8	j	j	PROPN
ejpam-283	106	9	)	)	PUNCT
ejpam-283	106	10	∈	∈	PROPN
ejpam-283	106	11	n2	n2	NOUN
ejpam-283	106	12	0	0	NUM
ejpam-283	106	13	/	/	SYM
ejpam-283	106	14	t1(i	t1(i	PROPN
ejpam-283	106	15	,	,	PUNCT
ejpam-283	106	16	j	j	NOUN
ejpam-283	106	17	)	)	PUNCT
ejpam-283	106	18	=	=	SYM
ejpam-283	107	1	t1(i+	t1(i+	PROPN
ejpam-283	107	2	k	k	PROPN
ejpam-283	107	3	,	,	PUNCT
ejpam-283	107	4	j+	j+	NUM
ejpam-283	107	5	k	k	NOUN
ejpam-283	107	6	)	)	PUNCT
ejpam-283	107	7	∀k	∀k	NOUN
ejpam-283	107	8	∈	∈	PROPN
ejpam-283	107	9	n	n	DET
ejpam-283	107	10	©	©	PROPN
ejpam-283	107	11	is	be	AUX
ejpam-283	107	12	called	call	VERB
ejpam-283	107	13	“	"	PUNCT
ejpam-283	107	14	a	a	DET
ejpam-283	107	15	staired	staired	ADJ
ejpam-283	107	16	block	block	NOUN
ejpam-283	107	17	”	"	PUNCT
ejpam-283	107	18	of	of	ADP
ejpam-283	107	19	table	table	NOUN
ejpam-283	107	20	1	1	NUM
ejpam-283	107	21	.	.	PUNCT
ejpam-283	107	22	example	example	NOUN
ejpam-283	108	1	1	1	NUM
ejpam-283	108	2	.	.	PUNCT
ejpam-283	109	1	if	if	SCONJ
ejpam-283	109	2	f(z	f(z	NOUN
ejpam-283	109	3	)	)	PUNCT
ejpam-283	110	1	=	=	SYM
ejpam-283	110	2	∞	∞	NUM
ejpam-283	110	3	∑	∑	PUNCT
ejpam-283	110	4	i=0	i=0	PROPN
ejpam-283	110	5	c2iz	c2iz	PUNCT
ejpam-283	110	6	2i	2i	NOUN
ejpam-283	110	7	,	,	PUNCT
ejpam-283	110	8	with	with	ADP
ejpam-283	110	9	c2i	c2i	PROPN
ejpam-283	110	10	=	=	SYM
ejpam-283	110	11	1	1	NUM
ejpam-283	110	12	(	(	PUNCT
ejpam-283	110	13	2i	2i	NUM
ejpam-283	110	14	)	)	PUNCT
ejpam-283	110	15	!	!	PUNCT
ejpam-283	111	1	�	�	PROPN
ejpam-283	111	2	1	1	NUM
ejpam-283	111	3	3	3	NUM
ejpam-283	111	4	−1/4	−1/4	NOUN
ejpam-283	111	5	−1	−1	NOUN
ejpam-283	111	6	�	�	PROPN
ejpam-283	111	7	2i	2i	NUM
ejpam-283	111	8	,	,	PUNCT
ejpam-283	111	9	then	then	ADV
ejpam-283	111	10	figure	figure	VERB
ejpam-283	111	11	1	1	NUM
ejpam-283	111	12	shows	show	NOUN
ejpam-283	111	13	table	table	NOUN
ejpam-283	111	14	1	1	NUM
ejpam-283	111	15	for	for	ADP
ejpam-283	111	16	f(z	f(z	NUM
ejpam-283	111	17	)	)	PUNCT
ejpam-283	111	18	.	.	PUNCT
ejpam-283	112	1	figure	figure	VERB
ejpam-283	112	2	1	1	NUM
ejpam-283	112	3	:	:	PUNCT
ejpam-283	112	4	table	table	NOUN
ejpam-283	112	5	1	1	NUM
ejpam-283	112	6	of	of	ADP
ejpam-283	112	7	example	example	NOUN
ejpam-283	112	8	1	1	NUM
ejpam-283	112	9	.	.	PUNCT
ejpam-283	112	10	example	example	NOUN
ejpam-283	113	1	2	2	NUM
ejpam-283	113	2	.	.	PUNCT
ejpam-283	113	3	let	let	VERB
ejpam-283	113	4	f(z	f(z	NOUN
ejpam-283	113	5	)	)	PUNCT
ejpam-283	113	6	=	=	SYM
ejpam-283	113	7	�	�	PROPN
ejpam-283	113	8	5.31	5.31	NUM
ejpam-283	113	9	1	1	NUM
ejpam-283	113	10	4.31	4.31	NUM
ejpam-283	113	11	1	1	NUM
ejpam-283	113	12	1.33	1.33	NUM
ejpam-283	113	13	−0.33	−0.33	PROPN
ejpam-283	113	14	�	�	PROPN
ejpam-283	113	15	+	+	CCONJ
ejpam-283	113	16	�	�	PROPN
ejpam-283	113	17	0	0	NUM
ejpam-283	113	18	0	0	NUM
ejpam-283	113	19	0	0	NUM
ejpam-283	113	20	0.66	0.66	NUM
ejpam-283	113	21	0	0	NUM
ejpam-283	113	22	0.66	0.66	NUM
ejpam-283	113	23	�	�	PROPN
ejpam-283	113	24	z	z	PROPN
ejpam-283	113	25	+	+	NUM
ejpam-283	113	26	�	�	PROPN
ejpam-283	113	27	2.25	2.25	NUM
ejpam-283	113	28	0.75	0.75	NUM
ejpam-283	113	29	1.5	1.5	NUM
ejpam-283	113	30	0	0	NUM
ejpam-283	113	31	0	0	NUM
ejpam-283	113	32	0	0	NUM
ejpam-283	113	33	�	�	PROPN
ejpam-283	113	34	z2	z2	PROPN
ejpam-283	113	35	+	+	CCONJ
ejpam-283	113	36	�	�	PROPN
ejpam-283	113	37	0	0	NUM
ejpam-283	113	38	0	0	NUM
ejpam-283	113	39	0	0	NUM
ejpam-283	113	40	1.125	1.125	NUM
ejpam-283	113	41	0.375	0.375	NUM
ejpam-283	113	42	0.75	0.75	NUM
ejpam-283	113	43	�	�	PROPN
ejpam-283	113	44	z3	z3	PROPN
ejpam-283	113	45	.	.	PUNCT
ejpam-283	114	1	figure	figure	NOUN
ejpam-283	114	2	2	2	NUM
ejpam-283	114	3	shows	show	NOUN
ejpam-283	114	4	table	table	NOUN
ejpam-283	114	5	1	1	NUM
ejpam-283	114	6	for	for	ADP
ejpam-283	114	7	f(z	f(z	NOUN
ejpam-283	114	8	)	)	PUNCT
ejpam-283	114	9	with	with	SCONJ
ejpam-283	114	10	the	the	DET
ejpam-283	114	11	border	border	NOUN
ejpam-283	114	12	of	of	ADP
ejpam-283	114	13	r1	r1	PROPN
ejpam-283	114	14	outlined	outline	VERB
ejpam-283	114	15	.	.	PUNCT
ejpam-283	115	1	r1	r1	PROPN
ejpam-283	115	2	=	=	SYM
ejpam-283	115	3	{	{	PUNCT
ejpam-283	115	4	(	(	PUNCT
ejpam-283	115	5	i	i	PROPN
ejpam-283	115	6	,	,	PUNCT
ejpam-283	115	7	j)/i	j)/i	PROPN
ejpam-283	115	8	≥	≥	NUM
ejpam-283	115	9	3	3	NUM
ejpam-283	115	10	∧	∧	PROPN
ejpam-283	115	11	j	j	PROPN
ejpam-283	115	12	≥	≥	NOUN
ejpam-283	115	13	0	0	NUM
ejpam-283	115	14	}	}	PUNCT
ejpam-283	115	15	∪	∪	X
ejpam-283	115	16	{	{	PUNCT
ejpam-283	115	17	(	(	PUNCT
ejpam-283	115	18	2	2	NUM
ejpam-283	115	19	,	,	PUNCT
ejpam-283	115	20	j)/	j)/	PROPN
ejpam-283	115	21	j	j	PROPN
ejpam-283	115	22	≥	≥	NOUN
ejpam-283	115	23	2	2	NUM
ejpam-283	115	24	}	}	PUNCT
ejpam-283	115	25	.	.	PUNCT
ejpam-283	116	1	we	we	PRON
ejpam-283	116	2	observe	observe	VERB
ejpam-283	116	3	that	that	SCONJ
ejpam-283	116	4	(	(	PUNCT
ejpam-283	116	5	3,0	3,0	NUM
ejpam-283	116	6	)	)	PUNCT
ejpam-283	116	7	and	and	CCONJ
ejpam-283	116	8	(	(	PUNCT
ejpam-283	116	9	2,2	2,2	NUM
ejpam-283	116	10	)	)	PUNCT
ejpam-283	116	11	are	be	AUX
ejpam-283	116	12	the	the	DET
ejpam-283	116	13	corners	corner	NOUN
ejpam-283	116	14	of	of	ADP
ejpam-283	116	15	r1	r1	PROPN
ejpam-283	116	16	.	.	PUNCT
ejpam-283	117	1	figure	figure	NOUN
ejpam-283	117	2	2	2	NUM
ejpam-283	117	3	:	:	PUNCT
ejpam-283	117	4	table	table	NOUN
ejpam-283	117	5	1	1	NUM
ejpam-283	117	6	of	of	ADP
ejpam-283	117	7	example	example	NOUN
ejpam-283	117	8	2	2	NUM
ejpam-283	117	9	.	.	PUNCT
ejpam-283	117	10	property	property	NOUN
ejpam-283	117	11	1	1	NUM
ejpam-283	117	12	.	.	PUNCT
ejpam-283	117	13	f(z	f(z	PROPN
ejpam-283	117	14	)	)	PUNCT
ejpam-283	117	15	is	be	AUX
ejpam-283	117	16	a	a	DET
ejpam-283	117	17	rational	rational	ADJ
ejpam-283	117	18	matrix	matrix	NOUN
ejpam-283	117	19	function	function	NOUN
ejpam-283	117	20	iff	iff	PROPN
ejpam-283	117	21	r1	r1	PROPN
ejpam-283	117	22	6=	6=	PROPN
ejpam-283	117	23	;	;	PUNCT
ejpam-283	117	24	.	.	PUNCT
ejpam-283	118	1	proof	proof	NOUN
ejpam-283	118	2	.	.	PUNCT
ejpam-283	119	1	follows	follow	VERB
ejpam-283	119	2	from	from	ADP
ejpam-283	119	3	theorem	theorem	ADJ
ejpam-283	119	4	10	10	NUM
ejpam-283	120	1	[	[	X
ejpam-283	120	2	12	12	NUM
ejpam-283	120	3	,	,	PUNCT
ejpam-283	120	4	p.	p.	NOUN
ejpam-283	120	5	177	177	NUM
ejpam-283	120	6	]	]	PUNCT
ejpam-283	120	7	.	.	PUNCT
ejpam-283	121	1	therefore	therefore	ADV
ejpam-283	121	2	,	,	PUNCT
ejpam-283	121	3	f(z	f(z	PROPN
ejpam-283	121	4	)	)	PUNCT
ejpam-283	121	5	is	be	AUX
ejpam-283	121	6	rational	rational	ADJ
ejpam-283	121	7	in	in	ADP
ejpam-283	121	8	example	example	NOUN
ejpam-283	121	9	2	2	NUM
ejpam-283	121	10	,	,	PUNCT
ejpam-283	121	11	and	and	CCONJ
ejpam-283	121	12	not	not	PART
ejpam-283	121	13	rational	rational	ADJ
ejpam-283	121	14	for	for	ADP
ejpam-283	121	15	any	any	DET
ejpam-283	121	16	(	(	PUNCT
ejpam-283	121	17	q	q	NOUN
ejpam-283	121	18	,	,	PUNCT
ejpam-283	121	19	p	p	NOUN
ejpam-283	121	20	)	)	PUNCT
ejpam-283	121	21	with	with	ADP
ejpam-283	121	22	0	0	NUM
ejpam-283	121	23	≤	≤	NUM
ejpam-283	121	24	q	q	NOUN
ejpam-283	121	25	,	,	PUNCT
ejpam-283	121	26	p	p	X
ejpam-283	121	27	<	<	X
ejpam-283	121	28	5	5	NUM
ejpam-283	121	29	in	in	ADP
ejpam-283	121	30	example	example	NOUN
ejpam-283	121	31	1	1	NUM
ejpam-283	121	32	.	.	PUNCT
ejpam-283	122	1	the	the	DET
ejpam-283	122	2	following	follow	VERB
ejpam-283	122	3	properties	property	NOUN
ejpam-283	122	4	guarantee	guarantee	VERB
ejpam-283	122	5	that	that	SCONJ
ejpam-283	122	6	,	,	PUNCT
ejpam-283	122	7	in	in	ADP
ejpam-283	122	8	certain	certain	ADJ
ejpam-283	122	9	cases	case	NOUN
ejpam-283	122	10	,	,	PUNCT
ejpam-283	122	11	a	a	DET
ejpam-283	122	12	pair	pair	NOUN
ejpam-283	122	13	of	of	ADP
ejpam-283	122	14	degrees	degree	NOUN
ejpam-283	122	15	associated	associate	VERB
ejpam-283	122	16	with	with	ADP
ejpam-283	122	17	a	a	DET
ejpam-283	122	18	corner	corner	NOUN
ejpam-283	122	19	of	of	ADP
ejpam-283	122	20	r1	r1	PROPN
ejpam-283	122	21	will	will	AUX
ejpam-283	122	22	(	(	PUNCT
ejpam-283	122	23	or	or	CCONJ
ejpam-283	122	24	will	will	AUX
ejpam-283	122	25	not	not	PART
ejpam-283	122	26	)	)	PUNCT
ejpam-283	122	27	be	be	AUX
ejpam-283	122	28	a	a	DET
ejpam-283	122	29	pair	pair	NOUN
ejpam-283	122	30	of	of	ADP
ejpam-283	122	31	m.d	m.d	PROPN
ejpam-283	122	32	.	.	PUNCT
ejpam-283	123	1	(	(	PUNCT
ejpam-283	123	2	properties	property	NOUN
ejpam-283	123	3	2	2	NUM
ejpam-283	123	4	-	-	SYM
ejpam-283	123	5	7	7	NUM
ejpam-283	123	6	)	)	PUNCT
ejpam-283	123	7	,	,	PUNCT
ejpam-283	123	8	and	and	CCONJ
ejpam-283	123	9	that	that	SCONJ
ejpam-283	123	10	the	the	DET
ejpam-283	123	11	left	left	ADJ
ejpam-283	123	12	representation	representation	NOUN
ejpam-283	123	13	of	of	ADP
ejpam-283	123	14	f(z	f(z	PROPN
ejpam-283	123	15	)	)	PUNCT
ejpam-283	123	16	will	will	AUX
ejpam-283	123	17	(	(	PUNCT
ejpam-283	123	18	or	or	CCONJ
ejpam-283	123	19	will	will	AUX
ejpam-283	123	20	not	not	PART
ejpam-283	123	21	)	)	PUNCT
ejpam-283	123	22	be	be	AUX
ejpam-283	123	23	unique	unique	ADJ
ejpam-283	123	24	for	for	ADP
ejpam-283	123	25	a	a	DET
ejpam-283	123	26	given	give	VERB
ejpam-283	123	27	pair	pair	NOUN
ejpam-283	123	28	of	of	ADP
ejpam-283	123	29	degrees	degree	NOUN
ejpam-283	123	30	(	(	PUNCT
ejpam-283	123	31	properties	property	NOUN
ejpam-283	123	32	8	8	NUM
ejpam-283	123	33	-	-	SYM
ejpam-283	123	34	9	9	NUM
ejpam-283	123	35	)	)	PUNCT
ejpam-283	123	36	.	.	PUNCT
ejpam-283	124	1	c.	c.	PROPN
ejpam-283	124	2	pestano	pestano	PROPN
ejpam-283	124	3	-	-	PUNCT
ejpam-283	124	4	gabino	gabino	PROPN
ejpam-283	124	5	,	,	PUNCT
ejpam-283	124	6	c.	c.	PROPN
ejpam-283	124	7	gonzález	gonzález	PROPN
ejpam-283	124	8	-	-	PUNCT
ejpam-283	124	9	concepción	concepción	NOUN
ejpam-283	124	10	,	,	PUNCT
ejpam-283	124	11	m.	m.	NOUN
ejpam-283	124	12	gil	gil	PROPN
ejpam-283	124	13	-	-	PROPN
ejpam-283	124	14	fariña	fariña	ADJ
ejpam-283	124	15	/	/	SYM
ejpam-283	124	16	eur	eur	NOUN
ejpam-283	124	17	.	.	PUNCT
ejpam-283	125	1	j.	j.	PROPN
ejpam-283	125	2	pure	pure	PROPN
ejpam-283	125	3	appl	appl	PROPN
ejpam-283	125	4	.	.	PROPN
ejpam-283	125	5	math	math	PROPN
ejpam-283	125	6	,	,	PUNCT
ejpam-283	125	7	3	3	NUM
ejpam-283	125	8	(	(	PUNCT
ejpam-283	125	9	2010	2010	NUM
ejpam-283	125	10	)	)	PUNCT
ejpam-283	125	11	,	,	PUNCT
ejpam-283	125	12	174	174	NUM
ejpam-283	125	13	-	-	SYM
ejpam-283	125	14	186	186	NUM
ejpam-283	125	15	179	179	NUM
ejpam-283	125	16	property	property	NOUN
ejpam-283	125	17	2	2	NUM
ejpam-283	125	18	.	.	PUNCT
ejpam-283	126	1	(	(	PUNCT
ejpam-283	126	2	i	i	NOUN
ejpam-283	126	3	,	,	PUNCT
ejpam-283	126	4	0	0	X
ejpam-283	126	5	)	)	PUNCT
ejpam-283	126	6	∈	∈	PROPN
ejpam-283	126	7	r1	r1	PROPN
ejpam-283	126	8	and	and	CCONJ
ejpam-283	126	9	(	(	PUNCT
ejpam-283	126	10	i−	i−	PROPN
ejpam-283	126	11	1,0	1,0	NUM
ejpam-283	126	12	)	)	PUNCT
ejpam-283	126	13	/∈	/∈	PUNCT
ejpam-283	127	1	r1	r1	PROPN
ejpam-283	127	2	iff	iff	PROPN
ejpam-283	127	3	(	(	PUNCT
ejpam-283	127	4	i	i	PROPN
ejpam-283	127	5	,	,	PUNCT
ejpam-283	127	6	0	0	NUM
ejpam-283	127	7	)	)	PUNCT
ejpam-283	127	8	is	be	AUX
ejpam-283	127	9	a	a	DET
ejpam-283	127	10	pair	pair	NOUN
ejpam-283	127	11	of	of	ADP
ejpam-283	127	12	m.d	m.d	PROPN
ejpam-283	127	13	.	.	PROPN
ejpam-283	127	14	proof	proof	PROPN
ejpam-283	127	15	.	.	PUNCT
ejpam-283	128	1	follows	follow	VERB
ejpam-283	128	2	from	from	ADP
ejpam-283	128	3	property	property	NOUN
ejpam-283	128	4	1	1	NUM
ejpam-283	128	5	in	in	ADP
ejpam-283	128	6	[	[	X
ejpam-283	128	7	14	14	NUM
ejpam-283	128	8	,	,	PUNCT
ejpam-283	128	9	p.	p.	NOUN
ejpam-283	128	10	29	29	NUM
ejpam-283	128	11	]	]	PUNCT
ejpam-283	128	12	.	.	PUNCT
ejpam-283	129	1	therefore	therefore	ADV
ejpam-283	129	2	,	,	PUNCT
ejpam-283	129	3	in	in	ADP
ejpam-283	129	4	example	example	NOUN
ejpam-283	129	5	2	2	NUM
ejpam-283	129	6	,	,	PUNCT
ejpam-283	129	7	(	(	PUNCT
ejpam-283	129	8	3,0	3,0	NUM
ejpam-283	129	9	)	)	PUNCT
ejpam-283	129	10	is	be	AUX
ejpam-283	129	11	a	a	DET
ejpam-283	129	12	pair	pair	NOUN
ejpam-283	129	13	of	of	ADP
ejpam-283	129	14	m.d	m.d	PROPN
ejpam-283	129	15	.	.	PROPN
ejpam-283	129	16	property	property	PROPN
ejpam-283	129	17	3	3	NUM
ejpam-283	129	18	.	.	PUNCT
ejpam-283	130	1	if	if	SCONJ
ejpam-283	130	2	t1(i−1	t1(i−1	PROPN
ejpam-283	130	3	,	,	PUNCT
ejpam-283	130	4	j	j	PROPN
ejpam-283	130	5	)	)	PUNCT
ejpam-283	130	6	<	<	X
ejpam-283	130	7	t1(i	t1(i	PROPN
ejpam-283	130	8	,	,	PUNCT
ejpam-283	130	9	j	j	PROPN
ejpam-283	130	10	)	)	PUNCT
ejpam-283	130	11	,	,	PUNCT
ejpam-283	130	12	then	then	ADV
ejpam-283	130	13	(	(	PUNCT
ejpam-283	130	14	i−u	i−u	NOUN
ejpam-283	130	15	,	,	PUNCT
ejpam-283	130	16	j−	j−	PROPN
ejpam-283	130	17	v	v	NOUN
ejpam-283	130	18	)	)	PUNCT
ejpam-283	130	19	is	be	AUX
ejpam-283	130	20	not	not	PART
ejpam-283	130	21	a	a	DET
ejpam-283	130	22	pair	pair	NOUN
ejpam-283	130	23	of	of	ADP
ejpam-283	130	24	m.d	m.d	PROPN
ejpam-283	130	25	.	.	PUNCT
ejpam-283	131	1	whenever	whenever	SCONJ
ejpam-283	131	2	1≤	1≤	NUM
ejpam-283	131	3	u	u	NOUN
ejpam-283	131	4	≤	≤	PUNCT
ejpam-283	131	5	i	i	PRON
ejpam-283	131	6	and	and	CCONJ
ejpam-283	131	7	0≤	0≤	NUM
ejpam-283	131	8	v	v	ADJ
ejpam-283	131	9	≤	≤	NUM
ejpam-283	131	10	j.	j.	PROPN
ejpam-283	131	11	proof	proof	PROPN
ejpam-283	131	12	.	.	PUNCT
ejpam-283	132	1	follows	follow	VERB
ejpam-283	132	2	from	from	ADP
ejpam-283	132	3	property	property	NOUN
ejpam-283	132	4	2	2	NUM
ejpam-283	132	5	in	in	ADP
ejpam-283	132	6	[	[	X
ejpam-283	132	7	14	14	NUM
ejpam-283	132	8	,	,	PUNCT
ejpam-283	132	9	p.	p.	NOUN
ejpam-283	132	10	29	29	NUM
ejpam-283	132	11	]	]	PUNCT
ejpam-283	132	12	.	.	PUNCT
ejpam-283	133	1	property	property	NOUN
ejpam-283	133	2	4	4	NUM
ejpam-283	133	3	.	.	PUNCT
ejpam-283	134	1	if	if	SCONJ
ejpam-283	134	2	t1(i	t1(i	PROPN
ejpam-283	134	3	,	,	PUNCT
ejpam-283	134	4	j	j	NOUN
ejpam-283	134	5	)	)	PUNCT
ejpam-283	135	1	=	=	SYM
ejpam-283	135	2	jm	jm	PROPN
ejpam-283	135	3	and	and	CCONJ
ejpam-283	135	4	(	(	PUNCT
ejpam-283	135	5	i	i	PROPN
ejpam-283	135	6	,	,	PUNCT
ejpam-283	135	7	j	j	PROPN
ejpam-283	135	8	)	)	PUNCT
ejpam-283	135	9	/∈	/∈	PUNCT
ejpam-283	136	1	r1	r1	PROPN
ejpam-283	136	2	,	,	PUNCT
ejpam-283	136	3	then	then	ADV
ejpam-283	136	4	(	(	PUNCT
ejpam-283	136	5	i	i	PRON
ejpam-283	136	6	−	−	PROPN
ejpam-283	136	7	u	u	NOUN
ejpam-283	136	8	,	,	PUNCT
ejpam-283	136	9	j	j	PROPN
ejpam-283	136	10	−	−	PROPN
ejpam-283	136	11	v	v	NOUN
ejpam-283	136	12	)	)	PUNCT
ejpam-283	136	13	is	be	AUX
ejpam-283	136	14	not	not	PART
ejpam-283	136	15	a	a	DET
ejpam-283	136	16	pair	pair	NOUN
ejpam-283	136	17	of	of	ADP
ejpam-283	136	18	m.d	m.d	PROPN
ejpam-283	136	19	.	.	PUNCT
ejpam-283	137	1	whenever	whenever	SCONJ
ejpam-283	137	2	1≤	1≤	X
ejpam-283	137	3	u≤	u≤	NUM
ejpam-283	138	1	i	i	PRON
ejpam-283	138	2	and	and	CCONJ
ejpam-283	138	3	0≤	0≤	NUM
ejpam-283	138	4	v	v	ADJ
ejpam-283	138	5	≤	≤	NUM
ejpam-283	138	6	j.	j.	PROPN
ejpam-283	138	7	proof	proof	PROPN
ejpam-283	138	8	.	.	PUNCT
ejpam-283	139	1	follows	follow	VERB
ejpam-283	139	2	from	from	ADP
ejpam-283	139	3	property	property	NOUN
ejpam-283	139	4	3	3	NUM
ejpam-283	139	5	in	in	ADP
ejpam-283	139	6	[	[	X
ejpam-283	139	7	14	14	NUM
ejpam-283	139	8	,	,	PUNCT
ejpam-283	139	9	p.	p.	NOUN
ejpam-283	139	10	30	30	NUM
ejpam-283	139	11	]	]	PUNCT
ejpam-283	139	12	.	.	PUNCT
ejpam-283	140	1	therefore	therefore	ADV
ejpam-283	140	2	,	,	PUNCT
ejpam-283	140	3	in	in	ADP
ejpam-283	140	4	example	example	NOUN
ejpam-283	140	5	2	2	NUM
ejpam-283	140	6	,	,	PUNCT
ejpam-283	140	7	if	if	SCONJ
ejpam-283	140	8	a	a	DET
ejpam-283	140	9	≤	≤	NUM
ejpam-283	140	10	5	5	NUM
ejpam-283	140	11	and	and	CCONJ
ejpam-283	140	12	b	b	NOUN
ejpam-283	140	13	≤	≤	NUM
ejpam-283	140	14	5	5	NUM
ejpam-283	140	15	,	,	PUNCT
ejpam-283	140	16	then	then	ADV
ejpam-283	140	17	(	(	PUNCT
ejpam-283	140	18	0	0	NUM
ejpam-283	140	19	,	,	PUNCT
ejpam-283	140	20	a	a	PRON
ejpam-283	140	21	)	)	PUNCT
ejpam-283	140	22	and	and	CCONJ
ejpam-283	140	23	(	(	PUNCT
ejpam-283	140	24	1	1	NUM
ejpam-283	140	25	,	,	PUNCT
ejpam-283	140	26	b	b	NOUN
ejpam-283	140	27	)	)	PUNCT
ejpam-283	140	28	are	be	AUX
ejpam-283	140	29	not	not	PART
ejpam-283	140	30	pairs	pair	NOUN
ejpam-283	140	31	of	of	ADP
ejpam-283	140	32	m.d	m.d	PROPN
ejpam-283	140	33	.	.	PUNCT
ejpam-283	141	1	(	(	PUNCT
ejpam-283	141	2	since	since	SCONJ
ejpam-283	141	3	t1(1,5	t1(1,5	NOUN
ejpam-283	141	4	)	)	PUNCT
ejpam-283	141	5	=	=	SYM
ejpam-283	141	6	10	10	NUM
ejpam-283	141	7	and	and	CCONJ
ejpam-283	141	8	(	(	PUNCT
ejpam-283	141	9	1,5	1,5	NUM
ejpam-283	141	10	)	)	PUNCT
ejpam-283	141	11	/∈	/∈	PUNCT
ejpam-283	141	12	r1	r1	PROPN
ejpam-283	141	13	)	)	PUNCT
ejpam-283	141	14	.	.	PUNCT
ejpam-283	142	1	property	property	NOUN
ejpam-283	142	2	5	5	NUM
ejpam-283	142	3	.	.	PUNCT
ejpam-283	143	1	if	if	SCONJ
ejpam-283	143	2	(	(	PUNCT
ejpam-283	143	3	i	i	NOUN
ejpam-283	143	4	,	,	PUNCT
ejpam-283	143	5	j	j	PROPN
ejpam-283	143	6	)	)	PUNCT
ejpam-283	143	7	∈	∈	PROPN
ejpam-283	143	8	r1	r1	PROPN
ejpam-283	143	9	,	,	PUNCT
ejpam-283	143	10	(	(	PUNCT
ejpam-283	143	11	i	i	PRON
ejpam-283	143	12	−	−	PROPN
ejpam-283	143	13	1	1	NUM
ejpam-283	143	14	,	,	PUNCT
ejpam-283	143	15	j	j	NOUN
ejpam-283	143	16	)	)	PUNCT
ejpam-283	143	17	/∈	/∈	PUNCT
ejpam-283	144	1	r1	r1	PROPN
ejpam-283	144	2	and	and	CCONJ
ejpam-283	144	3	t1(i	t1(i	PROPN
ejpam-283	144	4	,	,	PUNCT
ejpam-283	144	5	j	j	NOUN
ejpam-283	144	6	)	)	PUNCT
ejpam-283	145	1	=	=	PUNCT
ejpam-283	145	2	jm	jm	PROPN
ejpam-283	145	3	,	,	PUNCT
ejpam-283	145	4	then	then	ADV
ejpam-283	145	5	(	(	PUNCT
ejpam-283	145	6	i	i	PRON
ejpam-283	145	7	−	−	PROPN
ejpam-283	145	8	u	u	NOUN
ejpam-283	145	9	,	,	PUNCT
ejpam-283	145	10	j	j	PROPN
ejpam-283	145	11	−	−	PROPN
ejpam-283	145	12	v	v	NOUN
ejpam-283	145	13	)	)	PUNCT
ejpam-283	145	14	is	be	AUX
ejpam-283	145	15	not	not	PART
ejpam-283	145	16	a	a	DET
ejpam-283	145	17	pair	pair	NOUN
ejpam-283	145	18	of	of	ADP
ejpam-283	145	19	m.d	m.d	PROPN
ejpam-283	145	20	.	.	PUNCT
ejpam-283	146	1	whenever	whenever	SCONJ
ejpam-283	146	2	1≤	1≤	X
ejpam-283	146	3	u≤	u≤	NUM
ejpam-283	147	1	i	i	PRON
ejpam-283	147	2	and	and	CCONJ
ejpam-283	147	3	0≤	0≤	NUM
ejpam-283	147	4	v	v	ADJ
ejpam-283	147	5	≤	≤	NUM
ejpam-283	147	6	j.	j.	PROPN
ejpam-283	147	7	proof	proof	PROPN
ejpam-283	147	8	.	.	PUNCT
ejpam-283	148	1	follows	follow	VERB
ejpam-283	148	2	from	from	ADP
ejpam-283	148	3	property	property	NOUN
ejpam-283	148	4	4	4	NUM
ejpam-283	148	5	in	in	ADP
ejpam-283	148	6	[	[	X
ejpam-283	148	7	14	14	NUM
ejpam-283	148	8	,	,	PUNCT
ejpam-283	148	9	p.	p.	NOUN
ejpam-283	148	10	30	30	NUM
ejpam-283	148	11	]	]	PUNCT
ejpam-283	148	12	.	.	PUNCT
ejpam-283	149	1	property	property	NOUN
ejpam-283	149	2	6	6	NUM
ejpam-283	149	3	.	.	PUNCT
ejpam-283	149	4	suppose	suppose	VERB
ejpam-283	149	5	m	m	VERB
ejpam-283	149	6	=	=	PUNCT
ejpam-283	149	7	n.	n.	NOUN
ejpam-283	149	8	then	then	ADV
ejpam-283	149	9	(	(	PUNCT
ejpam-283	149	10	0	0	NUM
ejpam-283	149	11	,	,	PUNCT
ejpam-283	149	12	j	j	NOUN
ejpam-283	149	13	)	)	PUNCT
ejpam-283	149	14	∈	∈	PROPN
ejpam-283	149	15	r1	r1	PROPN
ejpam-283	149	16	and	and	CCONJ
ejpam-283	149	17	(	(	PUNCT
ejpam-283	149	18	0	0	NUM
ejpam-283	149	19	,	,	PUNCT
ejpam-283	149	20	j−	j−	PROPN
ejpam-283	149	21	1	1	NUM
ejpam-283	149	22	)	)	PUNCT
ejpam-283	149	23	/∈	/∈	PUNCT
ejpam-283	150	1	r1	r1	PROPN
ejpam-283	150	2	iff	iff	PROPN
ejpam-283	150	3	(	(	PUNCT
ejpam-283	150	4	0	0	NUM
ejpam-283	150	5	,	,	PUNCT
ejpam-283	150	6	j	j	NOUN
ejpam-283	150	7	)	)	PUNCT
ejpam-283	150	8	is	be	AUX
ejpam-283	150	9	a	a	DET
ejpam-283	150	10	pair	pair	NOUN
ejpam-283	150	11	of	of	ADP
ejpam-283	150	12	m.d	m.d	PROPN
ejpam-283	150	13	.	.	PROPN
ejpam-283	150	14	proof	proof	PROPN
ejpam-283	150	15	.	.	PUNCT
ejpam-283	151	1	follows	follow	VERB
ejpam-283	151	2	from	from	ADP
ejpam-283	151	3	property	property	NOUN
ejpam-283	151	4	5	5	NUM
ejpam-283	151	5	in	in	ADP
ejpam-283	151	6	[	[	X
ejpam-283	151	7	14	14	NUM
ejpam-283	151	8	,	,	PUNCT
ejpam-283	151	9	p.	p.	NOUN
ejpam-283	151	10	30	30	NUM
ejpam-283	151	11	]	]	PUNCT
ejpam-283	151	12	.	.	PUNCT
ejpam-283	152	1	property	property	NOUN
ejpam-283	152	2	7	7	NUM
ejpam-283	152	3	.	.	PUNCT
ejpam-283	152	4	suppose	suppose	VERB
ejpam-283	152	5	(	(	PUNCT
ejpam-283	152	6	i	i	NOUN
ejpam-283	152	7	,	,	PUNCT
ejpam-283	152	8	j	j	PROPN
ejpam-283	152	9	)	)	PUNCT
ejpam-283	152	10	∈	∈	PROPN
ejpam-283	152	11	r1	r1	PROPN
ejpam-283	152	12	.	.	PUNCT
ejpam-283	153	1	if	if	SCONJ
ejpam-283	153	2	(	(	PUNCT
ejpam-283	153	3	i	i	PRON
ejpam-283	153	4	−	−	PROPN
ejpam-283	153	5	u	u	PROPN
ejpam-283	153	6	,	,	PUNCT
ejpam-283	153	7	j	j	PROPN
ejpam-283	153	8	)	)	PUNCT
ejpam-283	153	9	/∈	/∈	PUNCT
ejpam-283	154	1	r1	r1	PROPN
ejpam-283	154	2	and	and	CCONJ
ejpam-283	154	3	(	(	PUNCT
ejpam-283	154	4	i	i	PROPN
ejpam-283	154	5	,	,	PUNCT
ejpam-283	154	6	j	j	PROPN
ejpam-283	154	7	−	−	PROPN
ejpam-283	154	8	v	v	NOUN
ejpam-283	154	9	)	)	PUNCT
ejpam-283	154	10	/∈	/∈	PUNCT
ejpam-283	155	1	r1	r1	PROPN
ejpam-283	155	2	,	,	PUNCT
ejpam-283	155	3	for	for	ADP
ejpam-283	155	4	any	any	DET
ejpam-283	155	5	u	u	NOUN
ejpam-283	155	6	∈	∈	PROPN
ejpam-283	156	1	[	[	X
ejpam-283	156	2	1	1	NUM
ejpam-283	156	3	,	,	PUNCT
ejpam-283	156	4	i	i	PRON
ejpam-283	156	5	]	]	PUNCT
ejpam-283	156	6	and	and	CCONJ
ejpam-283	156	7	v	v	ADP
ejpam-283	156	8	∈	∈	PROPN
ejpam-283	156	9	[	[	X
ejpam-283	156	10	1	1	NUM
ejpam-283	156	11	,	,	PUNCT
ejpam-283	156	12	j	j	NOUN
ejpam-283	156	13	]	]	X
ejpam-283	156	14	,	,	PUNCT
ejpam-283	156	15	and	and	CCONJ
ejpam-283	156	16	if	if	SCONJ
ejpam-283	156	17	all	all	DET
ejpam-283	156	18	these	these	DET
ejpam-283	156	19	cells	cell	NOUN
ejpam-283	156	20	are	be	AUX
ejpam-283	156	21	not	not	PART
ejpam-283	156	22	pairs	pair	NOUN
ejpam-283	156	23	of	of	ADP
ejpam-283	156	24	m.d	m.d	PROPN
ejpam-283	156	25	.	.	PROPN
ejpam-283	156	26	,	,	PUNCT
ejpam-283	156	27	then	then	ADV
ejpam-283	156	28	(	(	PUNCT
ejpam-283	156	29	i	i	PROPN
ejpam-283	156	30	,	,	PUNCT
ejpam-283	156	31	j	j	PROPN
ejpam-283	156	32	)	)	PUNCT
ejpam-283	156	33	is	be	AUX
ejpam-283	156	34	a	a	DET
ejpam-283	156	35	pair	pair	NOUN
ejpam-283	156	36	of	of	ADP
ejpam-283	156	37	m.d	m.d	PROPN
ejpam-283	156	38	.	.	PROPN
ejpam-283	156	39	proof	proof	PROPN
ejpam-283	156	40	.	.	PUNCT
ejpam-283	157	1	follows	follow	VERB
ejpam-283	157	2	directly	directly	ADV
ejpam-283	157	3	from	from	ADP
ejpam-283	157	4	the	the	DET
ejpam-283	157	5	definition	definition	NOUN
ejpam-283	157	6	of	of	ADP
ejpam-283	157	7	m.d	m.d	PROPN
ejpam-283	157	8	.	.	PROPN
ejpam-283	157	9	property	property	PROPN
ejpam-283	157	10	8	8	PROPN
ejpam-283	157	11	.	.	PUNCT
ejpam-283	158	1	suppose	suppose	VERB
ejpam-283	158	2	(	(	PUNCT
ejpam-283	158	3	i	i	NOUN
ejpam-283	158	4	,	,	PUNCT
ejpam-283	158	5	j	j	PROPN
ejpam-283	158	6	)	)	PUNCT
ejpam-283	158	7	∈	∈	PROPN
ejpam-283	158	8	r1	r1	PROPN
ejpam-283	158	9	.	.	PUNCT
ejpam-283	159	1	then	then	ADV
ejpam-283	159	2	t1(i	t1(i	NUM
ejpam-283	159	3	,	,	PUNCT
ejpam-283	159	4	j	j	NOUN
ejpam-283	159	5	)	)	PUNCT
ejpam-283	159	6	=	=	PUNCT
ejpam-283	160	1	jm	jm	PROPN
ejpam-283	160	2	iff	iff	PROPN
ejpam-283	160	3	the	the	DET
ejpam-283	160	4	left	left	ADJ
ejpam-283	160	5	representation	representation	NOUN
ejpam-283	160	6	of	of	ADP
ejpam-283	160	7	f(z	f(z	PROPN
ejpam-283	160	8	)	)	PUNCT
ejpam-283	160	9	for	for	ADP
ejpam-283	160	10	(	(	PUNCT
ejpam-283	160	11	i	i	PROPN
ejpam-283	160	12	,	,	PUNCT
ejpam-283	160	13	j	j	PROPN
ejpam-283	160	14	)	)	PUNCT
ejpam-283	160	15	is	be	AUX
ejpam-283	160	16	unique	unique	ADJ
ejpam-283	160	17	.	.	PUNCT
ejpam-283	161	1	under	under	ADP
ejpam-283	161	2	these	these	DET
ejpam-283	161	3	conditions	condition	NOUN
ejpam-283	161	4	,	,	PUNCT
ejpam-283	161	5	we	we	PRON
ejpam-283	161	6	can	can	AUX
ejpam-283	161	7	obtain	obtain	VERB
ejpam-283	161	8	the	the	DET
ejpam-283	161	9	matrix	matrix	NOUN
ejpam-283	161	10	coefficients	coefficient	NOUN
ejpam-283	161	11	d1	d1	PROPN
ejpam-283	161	12	,	,	PUNCT
ejpam-283	161	13	d2	d2	PROPN
ejpam-283	161	14	,	,	PUNCT
ejpam-283	161	15	...	...	PUNCT
ejpam-283	161	16	,	,	PUNCT
ejpam-283	162	1	d	d	X
ejpam-283	162	2	j	j	PROPN
ejpam-283	162	3	in	in	ADP
ejpam-283	162	4	the	the	DET
ejpam-283	162	5	denominator	denominator	NOUN
ejpam-283	162	6	d(z	d(z	NOUN
ejpam-283	162	7	)	)	PUNCT
ejpam-283	162	8	in	in	ADP
ejpam-283	162	9	connection	connection	NOUN
ejpam-283	162	10	to	to	ADP
ejpam-283	162	11	definition	definition	NOUN
ejpam-283	162	12	1	1	NUM
ejpam-283	162	13	by	by	ADP
ejpam-283	162	14	solving	solve	VERB
ejpam-283	162	15	the	the	DET
ejpam-283	162	16	system	system	NOUN
ejpam-283	162	17	d	d	PROPN
ejpam-283	162	18	jci−	jci−	PROPN
ejpam-283	162	19	j+h+	j+h+	PROPN
ejpam-283	162	20	d	d	PROPN
ejpam-283	162	21	j−1ci−	j−1ci−	PROPN
ejpam-283	162	22	j+h+1	j+h+1	NOUN
ejpam-283	162	23	+	+	X
ejpam-283	162	24	.	.	PUNCT
ejpam-283	162	25	.	.	PUNCT
ejpam-283	163	1	.+	.+	NOUN
ejpam-283	163	2	d1ci+h−1	d1ci+h−1	VERB
ejpam-283	163	3	=	=	SYM
ejpam-283	164	1	−ci+h	−ci+h	ADP
ejpam-283	164	2	h=	h=	NOUN
ejpam-283	164	3	1,2	1,2	NUM
ejpam-283	164	4	,	,	PUNCT
ejpam-283	164	5	...	...	PUNCT
ejpam-283	164	6	,	,	PUNCT
ejpam-283	164	7	j.	j.	PROPN
ejpam-283	164	8	(	(	PUNCT
ejpam-283	164	9	2	2	NUM
ejpam-283	164	10	)	)	PUNCT
ejpam-283	164	11	proof	proof	NOUN
ejpam-283	164	12	.	.	PUNCT
ejpam-283	164	13	follows	follow	VERB
ejpam-283	164	14	from	from	ADP
ejpam-283	164	15	theorem	theorem	ADJ
ejpam-283	164	16	2	2	NUM
ejpam-283	164	17	and	and	CCONJ
ejpam-283	164	18	corollary	corollary	ADJ
ejpam-283	164	19	1	1	NUM
ejpam-283	164	20	in	in	ADP
ejpam-283	164	21	[	[	X
ejpam-283	164	22	14	14	NUM
ejpam-283	164	23	,	,	PUNCT
ejpam-283	164	24	p.	p.	NOUN
ejpam-283	164	25	28	28	NUM
ejpam-283	164	26	]	]	PUNCT
ejpam-283	164	27	.	.	PUNCT
ejpam-283	165	1	therefore	therefore	ADV
ejpam-283	165	2	,	,	PUNCT
ejpam-283	165	3	in	in	ADP
ejpam-283	165	4	example	example	NOUN
ejpam-283	165	5	2	2	NUM
ejpam-283	165	6	,	,	PUNCT
ejpam-283	165	7	the	the	DET
ejpam-283	165	8	left	left	ADJ
ejpam-283	165	9	representation	representation	NOUN
ejpam-283	165	10	of	of	ADP
ejpam-283	165	11	f(z	f(z	PROPN
ejpam-283	165	12	)	)	PUNCT
ejpam-283	165	13	is	be	AUX
ejpam-283	165	14	unique	unique	ADJ
ejpam-283	165	15	for	for	ADP
ejpam-283	165	16	(	(	PUNCT
ejpam-283	165	17	3,0	3,0	NUM
ejpam-283	165	18	)	)	PUNCT
ejpam-283	165	19	,	,	PUNCT
ejpam-283	165	20	and	and	CCONJ
ejpam-283	165	21	it	it	PRON
ejpam-283	165	22	is	be	AUX
ejpam-283	165	23	not	not	PART
ejpam-283	165	24	unique	unique	ADJ
ejpam-283	165	25	for	for	ADP
ejpam-283	165	26	any	any	DET
ejpam-283	165	27	(	(	PUNCT
ejpam-283	165	28	a	a	PRON
ejpam-283	165	29	,	,	PUNCT
ejpam-283	165	30	b	b	NOUN
ejpam-283	165	31	)	)	PUNCT
ejpam-283	165	32	∈	∈	PROPN
ejpam-283	165	33	r1	r1	PROPN
ejpam-283	165	34	with	with	ADP
ejpam-283	165	35	b	b	PROPN
ejpam-283	165	36	6=	6=	ADP
ejpam-283	165	37	0	0	NUM
ejpam-283	165	38	.	.	PUNCT
ejpam-283	166	1	property	property	NOUN
ejpam-283	166	2	9	9	NUM
ejpam-283	166	3	.	.	PUNCT
ejpam-283	167	1	if	if	SCONJ
ejpam-283	167	2	m=	m=	NOUN
ejpam-283	167	3	n	n	NOUN
ejpam-283	167	4	and	and	CCONJ
ejpam-283	167	5	(	(	PUNCT
ejpam-283	167	6	0	0	NUM
ejpam-283	167	7	,	,	PUNCT
ejpam-283	167	8	j	j	NOUN
ejpam-283	167	9	)	)	PUNCT
ejpam-283	167	10	∈	∈	PROPN
ejpam-283	167	11	r1	r1	PROPN
ejpam-283	167	12	,	,	PUNCT
ejpam-283	167	13	then	then	ADV
ejpam-283	167	14	t1(0	t1(0	PROPN
ejpam-283	167	15	,	,	PUNCT
ejpam-283	167	16	j	j	PROPN
ejpam-283	167	17	)	)	PUNCT
ejpam-283	168	1	=	=	SYM
ejpam-283	168	2	jm	jm	PROPN
ejpam-283	168	3	and	and	CCONJ
ejpam-283	168	4	the	the	DET
ejpam-283	168	5	left	left	ADJ
ejpam-283	168	6	representation	representation	NOUN
ejpam-283	168	7	of	of	ADP
ejpam-283	168	8	f(z	f(z	PROPN
ejpam-283	168	9	)	)	PUNCT
ejpam-283	168	10	for	for	ADP
ejpam-283	168	11	(	(	PUNCT
ejpam-283	168	12	0	0	NUM
ejpam-283	168	13	,	,	PUNCT
ejpam-283	168	14	j	j	NOUN
ejpam-283	168	15	)	)	PUNCT
ejpam-283	168	16	is	be	AUX
ejpam-283	168	17	unique	unique	ADJ
ejpam-283	168	18	.	.	PUNCT
ejpam-283	169	1	c.	c.	PROPN
ejpam-283	169	2	pestano	pestano	PROPN
ejpam-283	169	3	-	-	PUNCT
ejpam-283	169	4	gabino	gabino	PROPN
ejpam-283	169	5	,	,	PUNCT
ejpam-283	169	6	c.	c.	PROPN
ejpam-283	169	7	gonzález	gonzález	PROPN
ejpam-283	169	8	-	-	PUNCT
ejpam-283	169	9	concepción	concepción	NOUN
ejpam-283	169	10	,	,	PUNCT
ejpam-283	169	11	m.	m.	NOUN
ejpam-283	169	12	gil	gil	PROPN
ejpam-283	169	13	-	-	PROPN
ejpam-283	169	14	fariña	fariña	ADJ
ejpam-283	169	15	/	/	SYM
ejpam-283	169	16	eur	eur	NOUN
ejpam-283	169	17	.	.	PUNCT
ejpam-283	170	1	j.	j.	PROPN
ejpam-283	170	2	pure	pure	PROPN
ejpam-283	170	3	appl	appl	PROPN
ejpam-283	170	4	.	.	PROPN
ejpam-283	170	5	math	math	PROPN
ejpam-283	170	6	,	,	PUNCT
ejpam-283	170	7	3	3	NUM
ejpam-283	170	8	(	(	PUNCT
ejpam-283	170	9	2010	2010	NUM
ejpam-283	170	10	)	)	PUNCT
ejpam-283	170	11	,	,	PUNCT
ejpam-283	170	12	174	174	NUM
ejpam-283	170	13	-	-	SYM
ejpam-283	170	14	186	186	NUM
ejpam-283	170	15	180	180	NUM
ejpam-283	170	16	proof	proof	NOUN
ejpam-283	170	17	.	.	PUNCT
ejpam-283	170	18	follows	follow	VERB
ejpam-283	170	19	from	from	ADP
ejpam-283	170	20	property	property	NOUN
ejpam-283	170	21	5	5	NUM
ejpam-283	170	22	in	in	ADP
ejpam-283	170	23	[	[	X
ejpam-283	170	24	14	14	NUM
ejpam-283	170	25	,	,	PUNCT
ejpam-283	170	26	p.	p.	NOUN
ejpam-283	170	27	30	30	NUM
ejpam-283	170	28	]	]	PUNCT
ejpam-283	170	29	.	.	PUNCT
ejpam-283	171	1	in	in	ADP
ejpam-283	171	2	example	example	NOUN
ejpam-283	171	3	2	2	NUM
ejpam-283	171	4	,	,	PUNCT
ejpam-283	171	5	table	table	NOUN
ejpam-283	171	6	1	1	NUM
ejpam-283	171	7	does	do	AUX
ejpam-283	171	8	not	not	PART
ejpam-283	171	9	state	state	VERB
ejpam-283	171	10	whether	whether	SCONJ
ejpam-283	171	11	(	(	PUNCT
ejpam-283	171	12	2,1	2,1	NUM
ejpam-283	171	13	)	)	PUNCT
ejpam-283	171	14	is	be	AUX
ejpam-283	171	15	a	a	DET
ejpam-283	171	16	pair	pair	NOUN
ejpam-283	171	17	of	of	ADP
ejpam-283	171	18	m.d	m.d	PROPN
ejpam-283	171	19	.	.	PROPN
ejpam-283	171	20	or	or	CCONJ
ejpam-283	171	21	not	not	PART
ejpam-283	171	22	.	.	PUNCT
ejpam-283	172	1	although	although	SCONJ
ejpam-283	172	2	table	table	NOUN
ejpam-283	172	3	1	1	NUM
ejpam-283	172	4	is	be	AUX
ejpam-283	172	5	preferable	preferable	ADJ
ejpam-283	172	6	from	from	ADP
ejpam-283	172	7	a	a	DET
ejpam-283	172	8	computational	computational	ADJ
ejpam-283	172	9	perspective	perspective	NOUN
ejpam-283	172	10	,	,	PUNCT
ejpam-283	172	11	table	table	NOUN
ejpam-283	172	12	2	2	NUM
ejpam-283	172	13	furnishes	furnish	VERB
ejpam-283	172	14	on	on	ADP
ejpam-283	172	15	alternative	alternative	ADJ
ejpam-283	172	16	outlet	outlet	NOUN
ejpam-283	172	17	when	when	SCONJ
ejpam-283	172	18	certain	certain	ADJ
ejpam-283	172	19	pairs	pair	NOUN
ejpam-283	172	20	of	of	ADP
ejpam-283	172	21	m.d	m.d	PROPN
ejpam-283	172	22	.	.	PROPN
ejpam-283	173	1	in	in	ADP
ejpam-283	173	2	table	table	NOUN
ejpam-283	173	3	1	1	NUM
ejpam-283	173	4	can	can	AUX
ejpam-283	173	5	not	not	PART
ejpam-283	173	6	be	be	AUX
ejpam-283	173	7	identified	identify	VERB
ejpam-283	173	8	.	.	PUNCT
ejpam-283	174	1	we	we	PRON
ejpam-283	174	2	will	will	AUX
ejpam-283	174	3	now	now	ADV
ejpam-283	174	4	define	define	VERB
ejpam-283	174	5	table	table	NOUN
ejpam-283	174	6	2	2	NUM
ejpam-283	174	7	.	.	PUNCT
ejpam-283	174	8	table	table	NOUN
ejpam-283	174	9	2sr	2sr	NOUN
ejpam-283	174	10	.	.	PUNCT
ejpam-283	175	1	given	give	VERB
ejpam-283	175	2	any	any	DET
ejpam-283	175	3	(	(	PUNCT
ejpam-283	175	4	s	s	X
ejpam-283	175	5	,	,	PUNCT
ejpam-283	175	6	r	r	NOUN
ejpam-283	175	7	)	)	PUNCT
ejpam-283	175	8	∈	∈	PROPN
ejpam-283	175	9	r1	r1	NOUN
ejpam-283	175	10	,	,	PUNCT
ejpam-283	175	11	the	the	DET
ejpam-283	175	12	value	value	NOUN
ejpam-283	175	13	t2sr(i	t2sr(i	PROPN
ejpam-283	175	14	,	,	PUNCT
ejpam-283	175	15	j	j	NOUN
ejpam-283	175	16	)	)	PUNCT
ejpam-283	175	17	=	=	PUNCT
ejpam-283	175	18	¨	¨	NOUN
ejpam-283	175	19	0	0	PUNCT
ejpam-283	176	1	i	i	PRON
ejpam-283	176	2	f	f	PROPN
ejpam-283	176	3	rank(m4sr(i	rank(m4sr(i	NOUN
ejpam-283	176	4	,	,	PUNCT
ejpam-283	176	5	j	j	NOUN
ejpam-283	176	6	)	)	PUNCT
ejpam-283	176	7	)	)	PUNCT
ejpam-283	177	1	=	=	SYM
ejpam-283	177	2	rank(m5sr(i	rank(m5sr(i	PROPN
ejpam-283	177	3	,	,	PUNCT
ejpam-283	177	4	j	j	NOUN
ejpam-283	177	5	)	)	PUNCT
ejpam-283	177	6	)	)	PUNCT
ejpam-283	177	7	1	1	NUM
ejpam-283	177	8	otherwise	otherwise	ADV
ejpam-283	177	9	is	be	AUX
ejpam-283	177	10	placed	place	VERB
ejpam-283	177	11	in	in	ADP
ejpam-283	177	12	the	the	DET
ejpam-283	177	13	(	(	PUNCT
ejpam-283	177	14	i	i	PROPN
ejpam-283	177	15	,	,	PUNCT
ejpam-283	177	16	j	j	PROPN
ejpam-283	177	17	)	)	PUNCT
ejpam-283	177	18	cell	cell	NOUN
ejpam-283	177	19	of	of	ADP
ejpam-283	177	20	table	table	NOUN
ejpam-283	177	21	2sr	2sr	NOUN
ejpam-283	177	22	,	,	PUNCT
ejpam-283	177	23	whenever	whenever	SCONJ
ejpam-283	177	24	0	0	NUM
ejpam-283	177	25	≤	≤	NUM
ejpam-283	177	26	i	i	PRON
ejpam-283	177	27	≤	≤	PROPN
ejpam-283	177	28	s	s	NOUN
ejpam-283	177	29	and	and	CCONJ
ejpam-283	177	30	0	0	NUM
ejpam-283	177	31	≤	≤	NUM
ejpam-283	177	32	j	j	PROPN
ejpam-283	177	33	≤	≤	PROPN
ejpam-283	177	34	r.	r.	PROPN
ejpam-283	177	35	here	here	ADV
ejpam-283	177	36	m4sr(i	m4sr(i	PROPN
ejpam-283	177	37	,	,	PUNCT
ejpam-283	177	38	j	j	NOUN
ejpam-283	177	39	)	)	PUNCT
ejpam-283	177	40	=	=	SYM
ejpam-283	177	41	(	(	PUNCT
ejpam-283	177	42	ci−	ci−	NUM
ejpam-283	177	43	j+h+k−1	j+h+k−1	NOUN
ejpam-283	177	44	)	)	PUNCT
ejpam-283	177	45	j	j	PROPN
ejpam-283	177	46	,	,	PUNCT
ejpam-283	177	47	s+r−i	s+r−i	PROPN
ejpam-283	177	48	h	h	NOUN
ejpam-283	177	49	,	,	PUNCT
ejpam-283	177	50	k=1	k=1	X
ejpam-283	177	51	,	,	PUNCT
ejpam-283	177	52	and	and	CCONJ
ejpam-283	177	53	m5sr(i	m5sr(i	PROPN
ejpam-283	177	54	,	,	PUNCT
ejpam-283	177	55	j	j	NOUN
ejpam-283	177	56	)	)	PUNCT
ejpam-283	177	57	=	=	SYM
ejpam-283	177	58	(	(	PUNCT
ejpam-283	177	59	ci−	ci−	NOUN
ejpam-283	177	60	j+h+k−1	j+h+k−1	NOUN
ejpam-283	177	61	)	)	PUNCT
ejpam-283	177	62	j+1,s+r−i	j+1,s+r−i	ADJ
ejpam-283	177	63	h	h	NOUN
ejpam-283	177	64	,	,	PUNCT
ejpam-283	177	65	k=1	k=1	PROPN
ejpam-283	177	66	.	.	PUNCT
ejpam-283	178	1	note	note	VERB
ejpam-283	178	2	that	that	SCONJ
ejpam-283	178	3	the	the	DET
ejpam-283	178	4	cell	cell	NOUN
ejpam-283	178	5	(	(	PUNCT
ejpam-283	178	6	s	s	X
ejpam-283	178	7	,	,	PUNCT
ejpam-283	178	8	r	r	NOUN
ejpam-283	178	9	)	)	PUNCT
ejpam-283	178	10	is	be	AUX
ejpam-283	178	11	the	the	DET
ejpam-283	178	12	lower	low	ADJ
ejpam-283	178	13	-	-	PUNCT
ejpam-283	178	14	right	right	ADJ
ejpam-283	178	15	corner	corner	NOUN
ejpam-283	178	16	of	of	ADP
ejpam-283	178	17	table	table	NOUN
ejpam-283	178	18	2sr	2sr	NOUN
ejpam-283	178	19	.	.	PUNCT
ejpam-283	179	1	definition	definition	NOUN
ejpam-283	179	2	4	4	NUM
ejpam-283	179	3	.	.	PUNCT
ejpam-283	179	4	r2sr	r2sr	PUNCT
ejpam-283	180	1	=	=	PUNCT
ejpam-283	180	2	{	{	PUNCT
ejpam-283	180	3	(	(	PUNCT
ejpam-283	180	4	i	i	PROPN
ejpam-283	180	5	,	,	PUNCT
ejpam-283	180	6	j	j	PROPN
ejpam-283	180	7	)	)	PUNCT
ejpam-283	180	8	∈	∈	PROPN
ejpam-283	180	9	n2	n2	NOUN
ejpam-283	180	10	0	0	NUM
ejpam-283	180	11	/	/	SYM
ejpam-283	180	12	t2sr(i	t2sr(i	PROPN
ejpam-283	180	13	,	,	PUNCT
ejpam-283	180	14	j	j	NOUN
ejpam-283	180	15	)	)	PUNCT
ejpam-283	180	16	=	=	PUNCT
ejpam-283	181	1	0	0	NUM
ejpam-283	181	2	}	}	PUNCT
ejpam-283	181	3	.	.	PUNCT
ejpam-283	182	1	the	the	DET
ejpam-283	182	2	table	table	NOUN
ejpam-283	182	3	235	235	NUM
ejpam-283	182	4	of	of	ADP
ejpam-283	182	5	example	example	NOUN
ejpam-283	182	6	2	2	NUM
ejpam-283	182	7	appears	appear	VERB
ejpam-283	182	8	in	in	ADP
ejpam-283	182	9	figure	figure	NOUN
ejpam-283	182	10	3	3	NUM
ejpam-283	182	11	.	.	PUNCT
ejpam-283	182	12	observe	observe	VERB
ejpam-283	182	13	that	that	SCONJ
ejpam-283	182	14	r235	r235	PROPN
ejpam-283	182	15	=	=	PRON
ejpam-283	182	16	{	{	PUNCT
ejpam-283	182	17	(	(	PUNCT
ejpam-283	182	18	3	3	NUM
ejpam-283	182	19	,	,	PUNCT
ejpam-283	182	20	j)/	j)/	PROPN
ejpam-283	182	21	j	j	PROPN
ejpam-283	182	22	≤	≤	ADV
ejpam-283	182	23	5	5	NUM
ejpam-283	182	24	}	}	PUNCT
ejpam-283	182	25	∪	∪	X
ejpam-283	182	26	{	{	PUNCT
ejpam-283	182	27	(	(	PUNCT
ejpam-283	182	28	2	2	NUM
ejpam-283	182	29	,	,	PUNCT
ejpam-283	182	30	k)/1≤	k)/1≤	PROPN
ejpam-283	182	31	k	k	PROPN
ejpam-283	182	32	≤	≤	ADV
ejpam-283	182	33	5	5	NUM
ejpam-283	182	34	}	}	PUNCT
ejpam-283	182	35	,	,	PUNCT
ejpam-283	182	36	and	and	CCONJ
ejpam-283	182	37	(	(	PUNCT
ejpam-283	182	38	3,0	3,0	NUM
ejpam-283	182	39	)	)	PUNCT
ejpam-283	182	40	and	and	CCONJ
ejpam-283	182	41	(	(	PUNCT
ejpam-283	182	42	2,1	2,1	NUM
ejpam-283	182	43	)	)	PUNCT
ejpam-283	182	44	are	be	AUX
ejpam-283	182	45	the	the	DET
ejpam-283	182	46	corners	corner	NOUN
ejpam-283	182	47	of	of	ADP
ejpam-283	182	48	r235	r235	PROPN
ejpam-283	182	49	.	.	PUNCT
ejpam-283	183	1	figure	figure	NOUN
ejpam-283	183	2	3	3	NUM
ejpam-283	183	3	:	:	PUNCT
ejpam-283	183	4	table	table	NOUN
ejpam-283	183	5	2	2	NUM
ejpam-283	183	6	of	of	ADP
ejpam-283	183	7	example	example	NOUN
ejpam-283	183	8	2	2	NUM
ejpam-283	183	9	.	.	PUNCT
ejpam-283	183	10	property	property	NOUN
ejpam-283	183	11	10	10	NUM
ejpam-283	183	12	.	.	PUNCT
ejpam-283	184	1	(	(	PUNCT
ejpam-283	184	2	i	i	PROPN
ejpam-283	184	3	,	,	PUNCT
ejpam-283	184	4	j	j	PROPN
ejpam-283	184	5	)	)	PUNCT
ejpam-283	184	6	is	be	AUX
ejpam-283	184	7	a	a	DET
ejpam-283	184	8	pair	pair	NOUN
ejpam-283	184	9	of	of	ADP
ejpam-283	184	10	m.d	m.d	PROPN
ejpam-283	184	11	.	.	PROPN
ejpam-283	184	12	for	for	ADP
ejpam-283	184	13	f(z	f(z	PROPN
ejpam-283	184	14	)	)	PUNCT
ejpam-283	184	15	iff	iff	NOUN
ejpam-283	184	16	,	,	PUNCT
ejpam-283	184	17	given	give	VERB
ejpam-283	184	18	any	any	DET
ejpam-283	184	19	(	(	PUNCT
ejpam-283	184	20	s	s	X
ejpam-283	184	21	,	,	PUNCT
ejpam-283	184	22	r	r	NOUN
ejpam-283	184	23	)	)	PUNCT
ejpam-283	184	24	∈	∈	PROPN
ejpam-283	184	25	r1	r1	NOUN
ejpam-283	184	26	such	such	ADJ
ejpam-283	184	27	that	that	SCONJ
ejpam-283	184	28	0	0	NUM
ejpam-283	184	29	≤	≤	NUM
ejpam-283	184	30	i	i	PRON
ejpam-283	184	31	≤	≤	PROPN
ejpam-283	184	32	s	s	X
ejpam-283	184	33	and	and	CCONJ
ejpam-283	184	34	0≤	0≤	ADJ
ejpam-283	184	35	j	j	NOUN
ejpam-283	184	36	≤	≤	ADJ
ejpam-283	184	37	r	r	NOUN
ejpam-283	184	38	,	,	PUNCT
ejpam-283	184	39	the	the	DET
ejpam-283	184	40	cell	cell	NOUN
ejpam-283	184	41	(	(	PUNCT
ejpam-283	184	42	i	i	PROPN
ejpam-283	184	43	,	,	PUNCT
ejpam-283	184	44	j	j	PROPN
ejpam-283	184	45	)	)	PUNCT
ejpam-283	184	46	is	be	AUX
ejpam-283	184	47	a	a	DET
ejpam-283	184	48	corner	corner	NOUN
ejpam-283	184	49	of	of	ADP
ejpam-283	184	50	r2sr	r2sr	PUNCT
ejpam-283	184	51	.	.	PUNCT
ejpam-283	185	1	proof	proof	NOUN
ejpam-283	185	2	.	.	PUNCT
ejpam-283	186	1	follows	follow	VERB
ejpam-283	186	2	from	from	ADP
ejpam-283	186	3	property	property	NOUN
ejpam-283	186	4	9	9	NUM
ejpam-283	186	5	in	in	ADP
ejpam-283	186	6	[	[	X
ejpam-283	186	7	14	14	NUM
ejpam-283	186	8	,	,	PUNCT
ejpam-283	186	9	p.	p.	NOUN
ejpam-283	186	10	31	31	NUM
ejpam-283	186	11	]	]	PUNCT
ejpam-283	186	12	.	.	PUNCT
ejpam-283	187	1	as	as	ADP
ejpam-283	187	2	an	an	DET
ejpam-283	187	3	application	application	NOUN
ejpam-283	187	4	,	,	PUNCT
ejpam-283	187	5	we	we	PRON
ejpam-283	187	6	infer	infer	VERB
ejpam-283	187	7	that	that	SCONJ
ejpam-283	187	8	f(z	f(z	NOUN
ejpam-283	187	9	)	)	PUNCT
ejpam-283	187	10	in	in	ADP
ejpam-283	187	11	example	example	NOUN
ejpam-283	187	12	2	2	NUM
ejpam-283	187	13	has	have	VERB
ejpam-283	187	14	two	two	NUM
ejpam-283	187	15	pairs	pair	NOUN
ejpam-283	187	16	of	of	ADP
ejpam-283	187	17	m.d	m.d	PROPN
ejpam-283	187	18	.	.	PUNCT
ejpam-283	188	1	the	the	DET
ejpam-283	188	2	first	first	ADJ
ejpam-283	188	3	pair	pair	NOUN
ejpam-283	188	4	equals	equal	VERB
ejpam-283	188	5	(	(	PUNCT
ejpam-283	188	6	3,0	3,0	NUM
ejpam-283	188	7	)	)	PUNCT
ejpam-283	188	8	,	,	PUNCT
ejpam-283	188	9	and	and	CCONJ
ejpam-283	188	10	is	be	AUX
ejpam-283	188	11	already	already	ADV
ejpam-283	188	12	identified	identify	VERB
ejpam-283	188	13	in	in	ADP
ejpam-283	188	14	table	table	NOUN
ejpam-283	188	15	1	1	NUM
ejpam-283	188	16	,	,	PUNCT
ejpam-283	188	17	while	while	SCONJ
ejpam-283	188	18	the	the	DET
ejpam-283	188	19	second	second	ADJ
ejpam-283	188	20	one	one	NOUN
ejpam-283	188	21	is	be	AUX
ejpam-283	188	22	(	(	PUNCT
ejpam-283	188	23	2,1	2,1	NUM
ejpam-283	188	24	)	)	PUNCT
ejpam-283	188	25	.	.	PUNCT
ejpam-283	189	1	property	property	NOUN
ejpam-283	189	2	11	11	NUM
ejpam-283	189	3	.	.	PUNCT
ejpam-283	190	1	if	if	SCONJ
ejpam-283	190	2	a	a	DET
ejpam-283	190	3	cell	cell	NOUN
ejpam-283	190	4	(	(	PUNCT
ejpam-283	190	5	h	h	NOUN
ejpam-283	190	6	,	,	PUNCT
ejpam-283	190	7	g	g	NOUN
ejpam-283	190	8	)	)	PUNCT
ejpam-283	190	9	in	in	ADP
ejpam-283	190	10	table	table	NOUN
ejpam-283	190	11	2	2	NUM
ejpam-283	190	12	takes	take	VERB
ejpam-283	190	13	a	a	DET
ejpam-283	190	14	zero	zero	NUM
ejpam-283	190	15	value	value	NOUN
ejpam-283	190	16	,	,	PUNCT
ejpam-283	190	17	then	then	ADV
ejpam-283	190	18	any	any	DET
ejpam-283	190	19	cell	cell	NOUN
ejpam-283	190	20	in	in	ADP
ejpam-283	190	21	the	the	DET
ejpam-283	190	22	lower	low	ADJ
ejpam-283	190	23	right	right	ADJ
ejpam-283	190	24	rectangle	rectangle	NOUN
ejpam-283	190	25	whose	whose	DET
ejpam-283	190	26	upper	upper	ADJ
ejpam-283	190	27	left	left	NOUN
ejpam-283	190	28	corner	corner	NOUN
ejpam-283	190	29	is	be	AUX
ejpam-283	190	30	(	(	PUNCT
ejpam-283	190	31	h	h	NOUN
ejpam-283	190	32	,	,	PUNCT
ejpam-283	190	33	g	g	NOUN
ejpam-283	190	34	)	)	PUNCT
ejpam-283	190	35	also	also	ADV
ejpam-283	190	36	takes	take	VERB
ejpam-283	190	37	on	on	ADP
ejpam-283	190	38	a	a	DET
ejpam-283	190	39	zero	zero	NUM
ejpam-283	190	40	value	value	NOUN
ejpam-283	190	41	.	.	PUNCT
ejpam-283	191	1	proof	proof	NOUN
ejpam-283	191	2	.	.	PUNCT
ejpam-283	192	1	follows	follow	VERB
ejpam-283	192	2	from	from	ADP
ejpam-283	192	3	property	property	NOUN
ejpam-283	192	4	11	11	NUM
ejpam-283	192	5	in	in	ADP
ejpam-283	192	6	[	[	X
ejpam-283	192	7	14	14	NUM
ejpam-283	192	8	,	,	PUNCT
ejpam-283	192	9	p.	p.	NOUN
ejpam-283	192	10	31	31	NUM
ejpam-283	192	11	]	]	PUNCT
ejpam-283	192	12	.	.	PUNCT
ejpam-283	193	1	property	property	NOUN
ejpam-283	193	2	12	12	NUM
ejpam-283	193	3	.	.	PUNCT
ejpam-283	194	1	the	the	DET
ejpam-283	194	2	left	left	ADJ
ejpam-283	194	3	representation	representation	NOUN
ejpam-283	194	4	of	of	ADP
ejpam-283	194	5	f(z	f(z	PROPN
ejpam-283	194	6	)	)	PUNCT
ejpam-283	194	7	for	for	ADP
ejpam-283	194	8	the	the	DET
ejpam-283	194	9	degrees	degree	NOUN
ejpam-283	194	10	(	(	PUNCT
ejpam-283	194	11	h	h	NOUN
ejpam-283	194	12	,	,	PUNCT
ejpam-283	194	13	g	g	NOUN
ejpam-283	194	14	)	)	PUNCT
ejpam-283	194	15	is	be	AUX
ejpam-283	194	16	unique	unique	ADJ
ejpam-283	194	17	iff	iff	NOUN
ejpam-283	194	18	,	,	PUNCT
ejpam-283	194	19	given	give	VERB
ejpam-283	194	20	(	(	PUNCT
ejpam-283	194	21	s	s	X
ejpam-283	194	22	,	,	PUNCT
ejpam-283	194	23	r	r	NOUN
ejpam-283	194	24	)	)	PUNCT
ejpam-283	194	25	∈	∈	PROPN
ejpam-283	194	26	r1	r1	NOUN
ejpam-283	194	27	such	such	ADJ
ejpam-283	194	28	that	that	SCONJ
ejpam-283	194	29	(	(	PUNCT
ejpam-283	194	30	h	h	NOUN
ejpam-283	194	31	,	,	PUNCT
ejpam-283	194	32	g	g	NOUN
ejpam-283	194	33	)	)	PUNCT
ejpam-283	194	34	∈	∈	PROPN
ejpam-283	194	35	r2s	r2s	NOUN
ejpam-283	194	36	,	,	PUNCT
ejpam-283	194	37	the	the	DET
ejpam-283	194	38	rank(m4sr(h	rank(m4sr(h	NOUN
ejpam-283	194	39	,	,	PUNCT
ejpam-283	194	40	g	g	NOUN
ejpam-283	194	41	)	)	PUNCT
ejpam-283	194	42	)	)	PUNCT
ejpam-283	194	43	is	be	AUX
ejpam-283	194	44	equal	equal	ADJ
ejpam-283	194	45	to	to	ADP
ejpam-283	194	46	mg	mg	PROPN
ejpam-283	194	47	.	.	PUNCT
ejpam-283	195	1	under	under	ADP
ejpam-283	195	2	these	these	DET
ejpam-283	195	3	conditions	condition	NOUN
ejpam-283	195	4	,	,	PUNCT
ejpam-283	195	5	we	we	PRON
ejpam-283	195	6	can	can	AUX
ejpam-283	195	7	obtain	obtain	VERB
ejpam-283	195	8	the	the	DET
ejpam-283	195	9	coefficients	coefficient	NOUN
ejpam-283	195	10	of	of	ADP
ejpam-283	195	11	the	the	DET
ejpam-283	195	12	denominator	denominator	NOUN
ejpam-283	195	13	d(z	d(z	NOUN
ejpam-283	195	14	)	)	PUNCT
ejpam-283	195	15	in	in	ADP
ejpam-283	195	16	connection	connection	NOUN
ejpam-283	195	17	to	to	ADP
ejpam-283	195	18	definition	definition	NOUN
ejpam-283	195	19	1	1	NUM
ejpam-283	195	20	by	by	ADP
ejpam-283	195	21	solving	solve	VERB
ejpam-283	195	22	the	the	DET
ejpam-283	195	23	system	system	NOUN
ejpam-283	196	1	d	d	PROPN
ejpam-283	196	2	jci−	jci−	PROPN
ejpam-283	196	3	j+h+	j+h+	PROPN
ejpam-283	196	4	d	d	PROPN
ejpam-283	196	5	j−1ci−	j−1ci−	PROPN
ejpam-283	196	6	j+h+1	j+h+1	NOUN
ejpam-283	196	7	+	+	X
ejpam-283	196	8	.	.	PUNCT
ejpam-283	196	9	.	.	PUNCT
ejpam-283	197	1	.+	.+	NOUN
ejpam-283	197	2	d1ci+h−1	d1ci+h−1	VERB
ejpam-283	197	3	=	=	SYM
ejpam-283	198	1	−ci+h	−ci+h	ADP
ejpam-283	198	2	h=	h=	NOUN
ejpam-283	198	3	1,2	1,2	NUM
ejpam-283	198	4	,	,	PUNCT
ejpam-283	198	5	...	...	PUNCT
ejpam-283	198	6	,	,	PUNCT
ejpam-283	198	7	s+	s+	ADV
ejpam-283	198	8	r	r	NOUN
ejpam-283	198	9	−	−	PROPN
ejpam-283	198	10	i.	i.	NOUN
ejpam-283	198	11	(	(	PUNCT
ejpam-283	198	12	3	3	X
ejpam-283	198	13	)	)	PUNCT
ejpam-283	198	14	it	it	PRON
ejpam-283	198	15	is	be	AUX
ejpam-283	198	16	preferable	preferable	ADJ
ejpam-283	198	17	to	to	PART
ejpam-283	198	18	choose	choose	VERB
ejpam-283	198	19	(	(	PUNCT
ejpam-283	198	20	s	s	X
ejpam-283	198	21	,	,	PUNCT
ejpam-283	198	22	r	r	NOUN
ejpam-283	198	23	)	)	PUNCT
ejpam-283	198	24	∈	∈	PROPN
ejpam-283	198	25	r1	r1	PROPN
ejpam-283	198	26	with	with	ADP
ejpam-283	198	27	(	(	PUNCT
ejpam-283	198	28	h	h	NOUN
ejpam-283	198	29	,	,	PUNCT
ejpam-283	198	30	g	g	NOUN
ejpam-283	198	31	)	)	PUNCT
ejpam-283	198	32	∈	∈	PROPN
ejpam-283	198	33	r2sr	r2sr	PUNCT
ejpam-283	198	34	and	and	CCONJ
ejpam-283	198	35	s+	s+	ADV
ejpam-283	198	36	r	r	NOUN
ejpam-283	198	37	minimum	minimum	NOUN
ejpam-283	198	38	.	.	PUNCT
ejpam-283	199	1	c.	c.	PROPN
ejpam-283	199	2	pestano	pestano	PROPN
ejpam-283	199	3	-	-	PUNCT
ejpam-283	199	4	gabino	gabino	PROPN
ejpam-283	199	5	,	,	PUNCT
ejpam-283	199	6	c.	c.	PROPN
ejpam-283	199	7	gonzález	gonzález	PROPN
ejpam-283	199	8	-	-	PUNCT
ejpam-283	199	9	concepción	concepción	NOUN
ejpam-283	199	10	,	,	PUNCT
ejpam-283	199	11	m.	m.	NOUN
ejpam-283	199	12	gil	gil	PROPN
ejpam-283	199	13	-	-	PROPN
ejpam-283	199	14	fariña	fariña	ADJ
ejpam-283	199	15	/	/	SYM
ejpam-283	199	16	eur	eur	NOUN
ejpam-283	199	17	.	.	PUNCT
ejpam-283	200	1	j.	j.	PROPN
ejpam-283	200	2	pure	pure	PROPN
ejpam-283	200	3	appl	appl	PROPN
ejpam-283	200	4	.	.	PROPN
ejpam-283	200	5	math	math	PROPN
ejpam-283	200	6	,	,	PUNCT
ejpam-283	200	7	3	3	NUM
ejpam-283	200	8	(	(	PUNCT
ejpam-283	200	9	2010	2010	NUM
ejpam-283	200	10	)	)	PUNCT
ejpam-283	200	11	,	,	PUNCT
ejpam-283	200	12	174	174	NUM
ejpam-283	200	13	-	-	SYM
ejpam-283	200	14	186	186	NUM
ejpam-283	200	15	181	181	NUM
ejpam-283	200	16	proof	proof	NOUN
ejpam-283	200	17	.	.	PUNCT
ejpam-283	201	1	proof	proof	NOUN
ejpam-283	201	2	:	:	PUNCT
ejpam-283	201	3	follows	follow	VERB
ejpam-283	201	4	from	from	ADP
ejpam-283	201	5	theorem	theorem	NOUN
ejpam-283	201	6	3	3	NUM
ejpam-283	201	7	in	in	ADP
ejpam-283	201	8	[	[	X
ejpam-283	201	9	14	14	NUM
ejpam-283	201	10	,	,	PUNCT
ejpam-283	201	11	p.	p.	NOUN
ejpam-283	201	12	28	28	NUM
ejpam-283	201	13	]	]	PUNCT
ejpam-283	201	14	.	.	PUNCT
ejpam-283	202	1	for	for	ADP
ejpam-283	202	2	instance	instance	NOUN
ejpam-283	202	3	,	,	PUNCT
ejpam-283	202	4	if	if	SCONJ
ejpam-283	202	5	in	in	ADP
ejpam-283	202	6	example	example	NOUN
ejpam-283	202	7	2	2	NUM
ejpam-283	202	8	we	we	PRON
ejpam-283	202	9	consider	consider	VERB
ejpam-283	202	10	(	(	PUNCT
ejpam-283	202	11	s	s	X
ejpam-283	202	12	,	,	PUNCT
ejpam-283	202	13	r	r	NOUN
ejpam-283	202	14	)	)	PUNCT
ejpam-283	202	15	=	=	SYM
ejpam-283	202	16	(	(	PUNCT
ejpam-283	202	17	3,1	3,1	NUM
ejpam-283	202	18	)	)	PUNCT
ejpam-283	202	19	,	,	PUNCT
ejpam-283	202	20	then	then	ADV
ejpam-283	202	21	the	the	DET
ejpam-283	202	22	left	left	ADJ
ejpam-283	202	23	representation	representation	NOUN
ejpam-283	202	24	of	of	ADP
ejpam-283	202	25	f(z	f(z	PROPN
ejpam-283	202	26	)	)	PUNCT
ejpam-283	202	27	for	for	ADP
ejpam-283	202	28	the	the	DET
ejpam-283	202	29	m.d	m.d	PROPN
ejpam-283	202	30	.	.	PUNCT
ejpam-283	203	1	(	(	PUNCT
ejpam-283	203	2	2,1	2,1	NUM
ejpam-283	203	3	)	)	PUNCT
ejpam-283	203	4	is	be	AUX
ejpam-283	203	5	unique	unique	ADJ
ejpam-283	203	6	since	since	SCONJ
ejpam-283	203	7	rank(m43,1(2,1	rank(m43,1(2,1	NOUN
ejpam-283	203	8	)	)	PUNCT
ejpam-283	203	9	)	)	PUNCT
ejpam-283	204	1	=	=	PUNCT
ejpam-283	204	2	2	2	X
ejpam-283	204	3	.	.	X
ejpam-283	204	4	the	the	DET
ejpam-283	204	5	denominator	denominator	NOUN
ejpam-283	204	6	d(z	d(z	PROPN
ejpam-283	204	7	)	)	PUNCT
ejpam-283	204	8	of	of	ADP
ejpam-283	204	9	such	such	DET
ejpam-283	204	10	a	a	DET
ejpam-283	204	11	representation	representation	NOUN
ejpam-283	204	12	in	in	ADP
ejpam-283	204	13	connection	connection	NOUN
ejpam-283	204	14	to	to	ADP
ejpam-283	204	15	definition	definition	NOUN
ejpam-283	204	16	1	1	NUM
ejpam-283	204	17	can	can	AUX
ejpam-283	204	18	be	be	AUX
ejpam-283	204	19	calculated	calculate	VERB
ejpam-283	204	20	by	by	ADP
ejpam-283	204	21	solving	solve	VERB
ejpam-283	204	22	the	the	DET
ejpam-283	204	23	system	system	NOUN
ejpam-283	204	24	(	(	PUNCT
ejpam-283	204	25	3	3	NUM
ejpam-283	204	26	)	)	PUNCT
ejpam-283	204	27	.	.	PUNCT
ejpam-283	205	1	example	example	NOUN
ejpam-283	206	1	3	3	X
ejpam-283	206	2	.	.	PUNCT
ejpam-283	207	1	let	let	VERB
ejpam-283	207	2	x	x	PRON
ejpam-283	207	3	t	t	PROPN
ejpam-283	207	4	=	=	PROPN
ejpam-283	207	5	w	w	PROPN
ejpam-283	207	6	(	(	PUNCT
ejpam-283	207	7	l)ǫt	l)ǫt	PROPN
ejpam-283	207	8	be	be	AUX
ejpam-283	207	9	the	the	DET
ejpam-283	207	10	following	following	ADJ
ejpam-283	207	11	bivariate	bivariate	ADJ
ejpam-283	207	12	varma(0,2	varma(0,2	NOUN
ejpam-283	207	13	)	)	PUNCT
ejpam-283	207	14	model	model	NOUN
ejpam-283	207	15	:	:	PUNCT
ejpam-283	207	16	x	x	SYM
ejpam-283	207	17	t	t	NOUN
ejpam-283	207	18	=	=	SYM
ejpam-283	207	19	�	�	PROPN
ejpam-283	207	20	1	1	NUM
ejpam-283	207	21	0	0	NUM
ejpam-283	207	22	0	0	NUM
ejpam-283	207	23	1	1	NUM
ejpam-283	207	24	�	�	NOUN
ejpam-283	207	25	ǫt+	ǫt+	ADJ
ejpam-283	207	26	�	�	PROPN
ejpam-283	207	27	1	1	NUM
ejpam-283	207	28	0.5	0.5	NUM
ejpam-283	207	29	0	0	NUM
ejpam-283	207	30	0	0	NUM
ejpam-283	207	31	�	�	PROPN
ejpam-283	207	32	ǫt−1	ǫt−1	PROPN
ejpam-283	207	33	+	+	PROPN
ejpam-283	207	34	�	�	PROPN
ejpam-283	207	35	0	0	NUM
ejpam-283	207	36	0	0	NUM
ejpam-283	207	37	0.5	0.5	NUM
ejpam-283	207	38	0.25	0.25	NUM
ejpam-283	207	39	�	�	PROPN
ejpam-283	207	40	ǫt−2	ǫt−2	PROPN
ejpam-283	207	41	where	where	SCONJ
ejpam-283	207	42	σ	σ	NOUN
ejpam-283	207	43	=	=	PUNCT
ejpam-283	208	1	e(ǫtǫ	e(ǫtǫ	NOUN
ejpam-283	208	2	′	′	NUM
ejpam-283	208	3	t	t	NOUN
ejpam-283	208	4	)	)	PUNCT
ejpam-283	208	5	=	=	SYM
ejpam-283	208	6	�	�	PROPN
ejpam-283	208	7	4	4	NUM
ejpam-283	208	8	1	1	NUM
ejpam-283	208	9	1	1	NUM
ejpam-283	208	10	1	1	NUM
ejpam-283	208	11	�	�	PROPN
ejpam-283	208	12	.	.	PUNCT
ejpam-283	209	1	let	let	VERB
ejpam-283	209	2	us	we	PRON
ejpam-283	209	3	then	then	ADV
ejpam-283	209	4	consider	consider	VERB
ejpam-283	209	5	the	the	DET
ejpam-283	209	6	three	three	NUM
ejpam-283	209	7	series	series	NOUN
ejpam-283	209	8	w	w	PROPN
ejpam-283	209	9	(	(	PUNCT
ejpam-283	209	10	z	z	NOUN
ejpam-283	209	11	)	)	PUNCT
ejpam-283	209	12	,	,	PUNCT
ejpam-283	209	13	m(z	m(z	PROPN
ejpam-283	209	14	)	)	PUNCT
ejpam-283	209	15	and	and	CCONJ
ejpam-283	209	16	c(−g)(z	c(−g)(z	PROPN
ejpam-283	209	17	)	)	PUNCT
ejpam-283	209	18	,	,	PUNCT
ejpam-283	209	19	for	for	ADP
ejpam-283	209	20	a	a	DET
ejpam-283	209	21	given	give	VERB
ejpam-283	209	22	g	g	NOUN
ejpam-283	209	23	(	(	PUNCT
ejpam-283	209	24	although	although	SCONJ
ejpam-283	209	25	,	,	PUNCT
ejpam-283	209	26	as	as	SCONJ
ejpam-283	209	27	it	it	PRON
ejpam-283	209	28	is	be	AUX
ejpam-283	209	29	shown	show	VERB
ejpam-283	209	30	in	in	ADP
ejpam-283	209	31	theorems	theorem	NOUN
ejpam-283	209	32	1	1	NUM
ejpam-283	209	33	and	and	CCONJ
ejpam-283	209	34	2	2	NUM
ejpam-283	209	35	,	,	PUNCT
ejpam-283	209	36	one	one	NUM
ejpam-283	209	37	series	series	NOUN
ejpam-283	209	38	is	be	AUX
ejpam-283	209	39	sufficient	sufficient	ADJ
ejpam-283	209	40	)	)	PUNCT
ejpam-283	209	41	.	.	PUNCT
ejpam-283	210	1	figure	figure	NOUN
ejpam-283	210	2	4	4	NUM
ejpam-283	210	3	contains	contain	VERB
ejpam-283	210	4	the	the	DET
ejpam-283	210	5	table	table	NOUN
ejpam-283	210	6	1	1	NUM
ejpam-283	210	7	for	for	ADP
ejpam-283	210	8	w	w	PROPN
ejpam-283	210	9	(	(	PUNCT
ejpam-283	210	10	z	z	NOUN
ejpam-283	210	11	)	)	PUNCT
ejpam-283	210	12	.	.	PUNCT
ejpam-283	211	1	by	by	ADP
ejpam-283	211	2	property	property	NOUN
ejpam-283	211	3	4	4	NUM
ejpam-283	211	4	,	,	PUNCT
ejpam-283	211	5	the	the	DET
ejpam-283	211	6	cells	cell	NOUN
ejpam-283	211	7	(	(	PUNCT
ejpam-283	211	8	0	0	NUM
ejpam-283	211	9	,	,	PUNCT
ejpam-283	211	10	j	j	NOUN
ejpam-283	211	11	)	)	PUNCT
ejpam-283	211	12	are	be	AUX
ejpam-283	211	13	not	not	PART
ejpam-283	211	14	m.d	m.d	PROPN
ejpam-283	211	15	.	.	PROPN
ejpam-283	211	16	for	for	ADP
ejpam-283	211	17	w	w	PROPN
ejpam-283	211	18	(	(	PUNCT
ejpam-283	211	19	z	z	NOUN
ejpam-283	211	20	)	)	PUNCT
ejpam-283	211	21	(	(	PUNCT
ejpam-283	211	22	whenever	whenever	SCONJ
ejpam-283	211	23	j	j	PROPN
ejpam-283	211	24	=	=	SYM
ejpam-283	211	25	0,1	0,1	NUM
ejpam-283	211	26	,	,	PUNCT
ejpam-283	211	27	...	...	PUNCT
ejpam-283	211	28	,	,	PUNCT
ejpam-283	211	29	5	5	X
ejpam-283	211	30	)	)	PUNCT
ejpam-283	211	31	and	and	CCONJ
ejpam-283	211	32	the	the	DET
ejpam-283	211	33	process	process	NOUN
ejpam-283	211	34	x	x	PUNCT
ejpam-283	211	35	t	t	NOUN
ejpam-283	211	36	does	do	AUX
ejpam-283	211	37	not	not	PART
ejpam-283	211	38	follow	follow	VERB
ejpam-283	211	39	any	any	DET
ejpam-283	211	40	var	var	NOUN
ejpam-283	211	41	(	(	PUNCT
ejpam-283	211	42	j	j	NOUN
ejpam-283	211	43	)	)	PUNCT
ejpam-283	211	44	≡	≡	PROPN
ejpam-283	211	45	varma	varma	PROPN
ejpam-283	211	46	(	(	PUNCT
ejpam-283	211	47	j	j	PROPN
ejpam-283	211	48	,	,	PUNCT
ejpam-283	211	49	0	0	NUM
ejpam-283	211	50	)	)	PUNCT
ejpam-283	211	51	model	model	NOUN
ejpam-283	211	52	.	.	PUNCT
ejpam-283	212	1	property	property	NOUN
ejpam-283	212	2	2	2	PROPN
ejpam-283	212	3	also	also	ADV
ejpam-283	212	4	reveals	reveal	VERB
ejpam-283	212	5	that	that	SCONJ
ejpam-283	212	6	(	(	PUNCT
ejpam-283	212	7	2,0	2,0	NOUN
ejpam-283	212	8	)	)	PUNCT
ejpam-283	212	9	is	be	AUX
ejpam-283	212	10	a	a	DET
ejpam-283	212	11	pair	pair	NOUN
ejpam-283	212	12	of	of	ADP
ejpam-283	212	13	m.d	m.d	PROPN
ejpam-283	212	14	.	.	PROPN
ejpam-283	212	15	,	,	PUNCT
ejpam-283	212	16	so	so	ADV
ejpam-283	212	17	x	x	SYM
ejpam-283	212	18	t	t	PROPN
ejpam-283	212	19	follows	follow	VERB
ejpam-283	212	20	a	a	DET
ejpam-283	212	21	v	v	PROPN
ejpam-283	212	22	ma(2	ma(2	NOUN
ejpam-283	212	23	)	)	PUNCT
ejpam-283	212	24	≡	≡	PROPN
ejpam-283	212	25	varma(0,2	varma(0,2	NOUN
ejpam-283	212	26	)	)	PUNCT
ejpam-283	212	27	representation	representation	NOUN
ejpam-283	212	28	.	.	PUNCT
ejpam-283	213	1	figure	figure	VERB
ejpam-283	213	2	4	4	NUM
ejpam-283	213	3	:	:	PUNCT
ejpam-283	213	4	r1(w	r1(w	NOUN
ejpam-283	213	5	)	)	PUNCT
ejpam-283	213	6	of	of	ADP
ejpam-283	213	7	example	example	NOUN
ejpam-283	214	1	3	3	X
ejpam-283	214	2	.	.	PUNCT
ejpam-283	215	1	in	in	ADP
ejpam-283	215	2	figure	figure	NOUN
ejpam-283	215	3	5	5	NUM
ejpam-283	215	4	we	we	PRON
ejpam-283	215	5	have	have	VERB
ejpam-283	215	6	the	the	DET
ejpam-283	215	7	table	table	NOUN
ejpam-283	215	8	1	1	NUM
ejpam-283	215	9	for	for	ADP
ejpam-283	215	10	m(z	m(z	PROPN
ejpam-283	215	11	)	)	PUNCT
ejpam-283	215	12	.	.	PUNCT
ejpam-283	216	1	from	from	ADP
ejpam-283	216	2	property	property	NOUN
ejpam-283	216	3	2	2	NUM
ejpam-283	216	4	we	we	PRON
ejpam-283	216	5	deduce	deduce	VERB
ejpam-283	216	6	that	that	PRON
ejpam-283	216	7	,	,	PUNCT
ejpam-283	216	8	for	for	ADP
ejpam-283	216	9	any	any	DET
ejpam-283	216	10	j	j	NOUN
ejpam-283	216	11	=	=	SYM
ejpam-283	216	12	0,1	0,1	NUM
ejpam-283	216	13	,	,	PUNCT
ejpam-283	216	14	...	...	PUNCT
ejpam-283	216	15	,	,	PUNCT
ejpam-283	216	16	5	5	NUM
ejpam-283	216	17	the	the	DET
ejpam-283	216	18	cells	cell	NOUN
ejpam-283	216	19	(	(	PUNCT
ejpam-283	216	20	j	j	NOUN
ejpam-283	216	21	,	,	PUNCT
ejpam-283	216	22	0	0	NUM
ejpam-283	216	23	)	)	PUNCT
ejpam-283	216	24	are	be	AUX
ejpam-283	216	25	not	not	PART
ejpam-283	216	26	m.d	m.d	PROPN
ejpam-283	216	27	.	.	PROPN
ejpam-283	216	28	further	far	ADV
ejpam-283	216	29	,	,	PUNCT
ejpam-283	216	30	property	property	NOUN
ejpam-283	216	31	6	6	NUM
ejpam-283	216	32	guarantees	guarantee	VERB
ejpam-283	216	33	that	that	SCONJ
ejpam-283	216	34	(	(	PUNCT
ejpam-283	216	35	0,2	0,2	NUM
ejpam-283	216	36	)	)	PUNCT
ejpam-283	216	37	is	be	AUX
ejpam-283	216	38	a	a	DET
ejpam-283	216	39	pair	pair	NOUN
ejpam-283	216	40	of	of	ADP
ejpam-283	216	41	m.d	m.d	PROPN
ejpam-283	216	42	.	.	PUNCT
ejpam-283	217	1	finally	finally	ADV
ejpam-283	217	2	,	,	PUNCT
ejpam-283	217	3	as	as	ADP
ejpam-283	217	4	a	a	DET
ejpam-283	217	5	consequence	consequence	NOUN
ejpam-283	217	6	of	of	ADP
ejpam-283	217	7	property	property	NOUN
ejpam-283	217	8	8	8	NUM
ejpam-283	217	9	,	,	PUNCT
ejpam-283	217	10	we	we	PRON
ejpam-283	217	11	see	see	VERB
ejpam-283	217	12	that	that	SCONJ
ejpam-283	217	13	the	the	DET
ejpam-283	217	14	left	left	ADJ
ejpam-283	217	15	representation	representation	NOUN
ejpam-283	217	16	of	of	ADP
ejpam-283	217	17	m(z	m(z	PROPN
ejpam-283	217	18	)	)	PUNCT
ejpam-283	217	19	for	for	ADP
ejpam-283	217	20	(	(	PUNCT
ejpam-283	217	21	0,2	0,2	NUM
ejpam-283	217	22	)	)	PUNCT
ejpam-283	217	23	is	be	AUX
ejpam-283	217	24	unique	unique	ADJ
ejpam-283	217	25	.	.	PUNCT
ejpam-283	218	1	figure	figure	NOUN
ejpam-283	218	2	5	5	NUM
ejpam-283	218	3	:	:	PUNCT
ejpam-283	218	4	r1(m	r1(m	NUM
ejpam-283	218	5	)	)	PUNCT
ejpam-283	218	6	of	of	ADP
ejpam-283	218	7	example	example	NOUN
ejpam-283	219	1	3	3	X
ejpam-283	219	2	.	.	X
ejpam-283	219	3	we	we	PRON
ejpam-283	219	4	can	can	AUX
ejpam-283	219	5	obtain	obtain	VERB
ejpam-283	219	6	additional	additional	ADJ
ejpam-283	219	7	information	information	NOUN
ejpam-283	219	8	from	from	ADP
ejpam-283	219	9	table	table	NOUN
ejpam-283	219	10	2	2	NUM
ejpam-283	219	11	.	.	PUNCT
ejpam-283	220	1	in	in	ADP
ejpam-283	220	2	figure	figure	NOUN
ejpam-283	220	3	6	6	NUM
ejpam-283	220	4	we	we	PRON
ejpam-283	220	5	give	give	VERB
ejpam-283	220	6	an	an	DET
ejpam-283	220	7	arrangement	arrangement	NOUN
ejpam-283	220	8	for	for	ADP
ejpam-283	220	9	the	the	DET
ejpam-283	220	10	set	set	NOUN
ejpam-283	220	11	r225(w	r225(w	VERB
ejpam-283	220	12	)	)	PUNCT
ejpam-283	220	13	,	,	PUNCT
ejpam-283	220	14	or	or	CCONJ
ejpam-283	220	15	equivalently	equivalently	ADV
ejpam-283	220	16	,	,	PUNCT
ejpam-283	220	17	for	for	ADP
ejpam-283	220	18	the	the	DET
ejpam-283	220	19	set	set	NOUN
ejpam-283	220	20	r2∗25(m	r2∗25(m	NOUN
ejpam-283	220	21	)	)	PUNCT
ejpam-283	220	22	=	=	PRON
ejpam-283	220	23	{	{	PUNCT
ejpam-283	220	24	(	(	PUNCT
ejpam-283	220	25	i	i	NOUN
ejpam-283	220	26	,	,	PUNCT
ejpam-283	220	27	j)/	j)/	PROPN
ejpam-283	220	28	(	(	PUNCT
ejpam-283	220	29	j	j	PROPN
ejpam-283	220	30	,	,	PUNCT
ejpam-283	220	31	i	i	PROPN
ejpam-283	220	32	)	)	PUNCT
ejpam-283	220	33	∈	∈	PROPN
ejpam-283	220	34	r252(m	r252(m	NOUN
ejpam-283	220	35	)	)	PUNCT
ejpam-283	220	36	}	}	PUNCT
ejpam-283	220	37	.	.	PUNCT
ejpam-283	221	1	we	we	PRON
ejpam-283	221	2	see	see	VERB
ejpam-283	221	3	that	that	SCONJ
ejpam-283	221	4	(	(	PUNCT
ejpam-283	221	5	1,1	1,1	NUM
ejpam-283	221	6	)	)	PUNCT
ejpam-283	221	7	is	be	AUX
ejpam-283	221	8	another	another	DET
ejpam-283	221	9	pair	pair	NOUN
ejpam-283	221	10	of	of	ADP
ejpam-283	221	11	m.d	m.d	PROPN
ejpam-283	221	12	.	.	PROPN
ejpam-283	221	13	from	from	ADP
ejpam-283	221	14	property	property	NOUN
ejpam-283	221	15	12	12	NUM
ejpam-283	221	16	,	,	PUNCT
ejpam-283	221	17	the	the	DET
ejpam-283	221	18	left	left	ADJ
ejpam-283	221	19	representations	representation	NOUN
ejpam-283	221	20	of	of	ADP
ejpam-283	221	21	w	w	PROPN
ejpam-283	221	22	(	(	PUNCT
ejpam-283	221	23	z	z	NOUN
ejpam-283	221	24	)	)	PUNCT
ejpam-283	221	25	and	and	CCONJ
ejpam-283	221	26	m(z	m(z	NOUN
ejpam-283	221	27	)	)	PUNCT
ejpam-283	221	28	for	for	ADP
ejpam-283	221	29	(	(	PUNCT
ejpam-283	221	30	1,1	1,1	NUM
ejpam-283	221	31	)	)	PUNCT
ejpam-283	221	32	are	be	AUX
ejpam-283	221	33	unique	unique	ADJ
ejpam-283	221	34	,	,	PUNCT
ejpam-283	221	35	since	since	SCONJ
ejpam-283	221	36	rank(m421(1,1	rank(m421(1,1	PROPN
ejpam-283	221	37	)	)	PUNCT
ejpam-283	221	38	)	)	PUNCT
ejpam-283	222	1	=	=	SYM
ejpam-283	222	2	2	2	NUM
ejpam-283	222	3	for	for	ADP
ejpam-283	222	4	w	w	PROPN
ejpam-283	222	5	(	(	PUNCT
ejpam-283	222	6	z	z	NOUN
ejpam-283	222	7	)	)	PUNCT
ejpam-283	222	8	and	and	CCONJ
ejpam-283	222	9	rank(m412(1,1	rank(m412(1,1	NUM
ejpam-283	222	10	)	)	PUNCT
ejpam-283	222	11	)	)	PUNCT
ejpam-283	223	1	=	=	SYM
ejpam-283	223	2	2	2	NUM
ejpam-283	223	3	for	for	ADP
ejpam-283	223	4	m(z	m(z	PROPN
ejpam-283	223	5	)	)	PUNCT
ejpam-283	223	6	.	.	PUNCT
ejpam-283	224	1	c.	c.	PROPN
ejpam-283	224	2	pestano	pestano	PROPN
ejpam-283	224	3	-	-	PUNCT
ejpam-283	224	4	gabino	gabino	PROPN
ejpam-283	224	5	,	,	PUNCT
ejpam-283	224	6	c.	c.	PROPN
ejpam-283	224	7	gonzález	gonzález	PROPN
ejpam-283	224	8	-	-	PUNCT
ejpam-283	224	9	concepción	concepción	NOUN
ejpam-283	224	10	,	,	PUNCT
ejpam-283	224	11	m.	m.	NOUN
ejpam-283	224	12	gil	gil	PROPN
ejpam-283	224	13	-	-	PROPN
ejpam-283	224	14	fariña	fariña	ADJ
ejpam-283	224	15	/	/	SYM
ejpam-283	224	16	eur	eur	NOUN
ejpam-283	224	17	.	.	PUNCT
ejpam-283	225	1	j.	j.	PROPN
ejpam-283	225	2	pure	pure	PROPN
ejpam-283	225	3	appl	appl	PROPN
ejpam-283	225	4	.	.	PROPN
ejpam-283	225	5	math	math	PROPN
ejpam-283	225	6	,	,	PUNCT
ejpam-283	225	7	3	3	NUM
ejpam-283	225	8	(	(	PUNCT
ejpam-283	225	9	2010	2010	NUM
ejpam-283	225	10	)	)	PUNCT
ejpam-283	225	11	,	,	PUNCT
ejpam-283	225	12	174	174	NUM
ejpam-283	225	13	-	-	SYM
ejpam-283	225	14	186	186	NUM
ejpam-283	225	15	182	182	NUM
ejpam-283	225	16	figure	figure	NOUN
ejpam-283	225	17	6	6	NUM
ejpam-283	225	18	:	:	PUNCT
ejpam-283	225	19	r225(w	r225(w	VERB
ejpam-283	225	20	)	)	PUNCT
ejpam-283	225	21	of	of	ADP
ejpam-283	225	22	example	example	NOUN
ejpam-283	225	23	3	3	X
ejpam-283	225	24	.	.	PUNCT
ejpam-283	226	1	let	let	VERB
ejpam-283	226	2	us	we	PRON
ejpam-283	226	3	now	now	ADV
ejpam-283	226	4	consider	consider	VERB
ejpam-283	226	5	the	the	DET
ejpam-283	226	6	statement	statement	NOUN
ejpam-283	226	7	e	e	NOUN
ejpam-283	226	8	)	)	PUNCT
ejpam-283	226	9	of	of	ADP
ejpam-283	226	10	theorem	theorem	NOUN
ejpam-283	226	11	1	1	NUM
ejpam-283	226	12	.	.	PUNCT
ejpam-283	226	13	without	without	ADP
ejpam-283	226	14	loss	loss	NOUN
ejpam-283	226	15	of	of	ADP
ejpam-283	226	16	generality	generality	NOUN
ejpam-283	226	17	and	and	CCONJ
ejpam-283	226	18	in	in	ADP
ejpam-283	226	19	order	order	NOUN
ejpam-283	226	20	to	to	PART
ejpam-283	226	21	build	build	VERB
ejpam-283	226	22	the	the	DET
ejpam-283	226	23	table	table	NOUN
ejpam-283	226	24	1	1	NUM
ejpam-283	226	25	with	with	ADP
ejpam-283	226	26	r	r	NOUN
ejpam-283	226	27	≥	≥	NUM
ejpam-283	226	28	2	2	NUM
ejpam-283	226	29	rows	row	NOUN
ejpam-283	226	30	for	for	ADP
ejpam-283	226	31	c(−g)(z	c(−g)(z	PROPN
ejpam-283	226	32	)	)	PUNCT
ejpam-283	226	33	,	,	PUNCT
ejpam-283	226	34	we	we	PRON
ejpam-283	226	35	can	can	AUX
ejpam-283	226	36	assume	assume	VERB
ejpam-283	226	37	that	that	SCONJ
ejpam-283	226	38	g	g	NOUN
ejpam-283	226	39	=	=	NOUN
ejpam-283	226	40	r	r	NOUN
ejpam-283	226	41	−	−	NOUN
ejpam-283	226	42	2	2	NUM
ejpam-283	226	43	.	.	PUNCT
ejpam-283	227	1	(	(	PUNCT
ejpam-283	227	2	note	note	VERB
ejpam-283	227	3	that	that	SCONJ
ejpam-283	227	4	g	g	PROPN
ejpam-283	227	5	≥	≥	NUM
ejpam-283	227	6	−a+	−a+	NOUN
ejpam-283	227	7	b−	b−	PROPN
ejpam-283	227	8	1	1	NUM
ejpam-283	227	9	,	,	PUNCT
ejpam-283	227	10	where	where	SCONJ
ejpam-283	227	11	(	(	PUNCT
ejpam-283	227	12	a	a	DET
ejpam-283	227	13	,	,	PUNCT
ejpam-283	227	14	b	b	NOUN
ejpam-283	227	15	)	)	PUNCT
ejpam-283	227	16	represents	represent	VERB
ejpam-283	227	17	any	any	DET
ejpam-283	227	18	cell	cell	NOUN
ejpam-283	227	19	in	in	ADP
ejpam-283	227	20	these	these	DET
ejpam-283	227	21	tables	table	NOUN
ejpam-283	227	22	with	with	ADP
ejpam-283	227	23	r	r	NOUN
ejpam-283	227	24	rows	row	NOUN
ejpam-283	227	25	)	)	PUNCT
ejpam-283	227	26	.	.	PUNCT
ejpam-283	228	1	the	the	DET
ejpam-283	228	2	difference	difference	NOUN
ejpam-283	228	3	between	between	ADP
ejpam-283	228	4	the	the	DET
ejpam-283	228	5	numerator	numerator	NOUN
ejpam-283	228	6	degrees	degree	NOUN
ejpam-283	228	7	of	of	ADP
ejpam-283	228	8	w	w	PROPN
ejpam-283	228	9	(	(	PUNCT
ejpam-283	228	10	z	z	NOUN
ejpam-283	228	11	)	)	PUNCT
ejpam-283	228	12	and	and	CCONJ
ejpam-283	228	13	c(−g)(z	c(−g)(z	PROPN
ejpam-283	228	14	)	)	PUNCT
ejpam-283	228	15	is	be	AUX
ejpam-283	228	16	g.	g.	NOUN
ejpam-283	228	17	at	at	ADP
ejpam-283	228	18	this	this	DET
ejpam-283	228	19	point	point	NOUN
ejpam-283	228	20	,	,	PUNCT
ejpam-283	228	21	a	a	DET
ejpam-283	228	22	definition	definition	NOUN
ejpam-283	228	23	for	for	ADP
ejpam-283	228	24	staired	staire	VERB
ejpam-283	228	25	blocks	block	NOUN
ejpam-283	228	26	is	be	AUX
ejpam-283	228	27	necessary	necessary	ADJ
ejpam-283	228	28	:	:	PUNCT
ejpam-283	228	29	r1(c(−g	r1(c(−g	X
ejpam-283	228	30	)	)	PUNCT
ejpam-283	228	31	)	)	PUNCT
ejpam-283	229	1	=	=	PRON
ejpam-283	229	2	{	{	PUNCT
ejpam-283	229	3	(	(	PUNCT
ejpam-283	229	4	i	i	PROPN
ejpam-283	229	5	,	,	PUNCT
ejpam-283	229	6	j	j	PROPN
ejpam-283	229	7	)	)	PUNCT
ejpam-283	229	8	∈	∈	PROPN
ejpam-283	229	9	n2	n2	NOUN
ejpam-283	229	10	0/(i	0/(i	NOUN
ejpam-283	229	11	+	+	CCONJ
ejpam-283	229	12	g	g	PROPN
ejpam-283	229	13	,	,	PUNCT
ejpam-283	229	14	j	j	NOUN
ejpam-283	229	15	)	)	PUNCT
ejpam-283	229	16	∈	∈	PROPN
ejpam-283	229	17	r1(c(−g	r1(c(−g	NOUN
ejpam-283	229	18	)	)	PUNCT
ejpam-283	229	19	)	)	PUNCT
ejpam-283	229	20	}	}	PUNCT
ejpam-283	229	21	and	and	CCONJ
ejpam-283	229	22	r2ab(c(−g	r2ab(c(−g	NOUN
ejpam-283	229	23	)	)	PUNCT
ejpam-283	229	24	)	)	PUNCT
ejpam-283	230	1	=	=	PRON
ejpam-283	230	2	{	{	PUNCT
ejpam-283	230	3	(	(	PUNCT
ejpam-283	230	4	i	i	PROPN
ejpam-283	230	5	,	,	PUNCT
ejpam-283	230	6	j	j	PROPN
ejpam-283	230	7	)	)	PUNCT
ejpam-283	230	8	∈	∈	PROPN
ejpam-283	230	9	n2	n2	NOUN
ejpam-283	230	10	0/(i+	0/(i+	PROPN
ejpam-283	230	11	g	g	PROPN
ejpam-283	230	12	,	,	PUNCT
ejpam-283	230	13	j	j	NOUN
ejpam-283	230	14	)	)	PUNCT
ejpam-283	230	15	∈	∈	PROPN
ejpam-283	230	16	r2a+g	r2a+g	NOUN
ejpam-283	230	17	,	,	PUNCT
ejpam-283	230	18	b(c(−g	b(c(−g	NOUN
ejpam-283	230	19	)	)	PUNCT
ejpam-283	230	20	)	)	PUNCT
ejpam-283	230	21	}	}	PUNCT
ejpam-283	230	22	for	for	ADP
ejpam-283	230	23	any	any	DET
ejpam-283	230	24	(	(	PUNCT
ejpam-283	230	25	a	a	PRON
ejpam-283	230	26	,	,	PUNCT
ejpam-283	230	27	b	b	NOUN
ejpam-283	230	28	)	)	PUNCT
ejpam-283	230	29	∈	∈	PROPN
ejpam-283	230	30	r1(c(−g	r1(c(−g	NOUN
ejpam-283	230	31	)	)	PUNCT
ejpam-283	230	32	)	)	PUNCT
ejpam-283	230	33	.	.	PUNCT
ejpam-283	231	1	the	the	DET
ejpam-283	231	2	interpretation	interpretation	NOUN
ejpam-283	231	3	of	of	ADP
ejpam-283	231	4	the	the	DET
ejpam-283	231	5	tables	table	NOUN
ejpam-283	231	6	can	can	AUX
ejpam-283	231	7	be	be	AUX
ejpam-283	231	8	unified	unify	VERB
ejpam-283	231	9	by	by	ADP
ejpam-283	231	10	ignoring	ignore	VERB
ejpam-283	231	11	the	the	DET
ejpam-283	231	12	first	first	ADJ
ejpam-283	231	13	g	g	NOUN
ejpam-283	231	14	columns	column	NOUN
ejpam-283	231	15	in	in	ADP
ejpam-283	231	16	table	table	NOUN
ejpam-283	231	17	1	1	NUM
ejpam-283	231	18	and	and	CCONJ
ejpam-283	231	19	table	table	NOUN
ejpam-283	231	20	2	2	NUM
ejpam-283	231	21	for	for	ADP
ejpam-283	231	22	c(−g)(z	c(−g)(z	NOUN
ejpam-283	231	23	)	)	PUNCT
ejpam-283	231	24	.	.	PUNCT
ejpam-283	232	1	essentially	essentially	ADV
ejpam-283	232	2	,	,	PUNCT
ejpam-283	232	3	we	we	PRON
ejpam-283	232	4	place	place	VERB
ejpam-283	232	5	t1(i	t1(i	PRON
ejpam-283	232	6	+	+	CCONJ
ejpam-283	232	7	g	g	PROPN
ejpam-283	232	8	,	,	PUNCT
ejpam-283	232	9	j	j	PROPN
ejpam-283	232	10	)	)	PUNCT
ejpam-283	232	11	and	and	CCONJ
ejpam-283	232	12	t2ab(i	t2ab(i	PROPN
ejpam-283	232	13	+	+	CCONJ
ejpam-283	232	14	g	g	PROPN
ejpam-283	232	15	,	,	PUNCT
ejpam-283	232	16	j	j	NOUN
ejpam-283	232	17	)	)	PUNCT
ejpam-283	232	18	in	in	ADP
ejpam-283	232	19	cell	cell	NOUN
ejpam-283	232	20	(	(	PUNCT
ejpam-283	232	21	i	i	PROPN
ejpam-283	232	22	,	,	PUNCT
ejpam-283	232	23	j	j	PROPN
ejpam-283	232	24	)	)	PUNCT
ejpam-283	232	25	of	of	ADP
ejpam-283	232	26	table	table	NOUN
ejpam-283	232	27	1	1	NUM
ejpam-283	232	28	and	and	CCONJ
ejpam-283	232	29	table	table	NOUN
ejpam-283	232	30	2	2	NUM
ejpam-283	232	31	,	,	PUNCT
ejpam-283	232	32	respectively	respectively	ADV
ejpam-283	232	33	,	,	PUNCT
ejpam-283	232	34	and	and	CCONJ
ejpam-283	232	35	then	then	ADV
ejpam-283	232	36	highlight	highlight	VERB
ejpam-283	232	37	the	the	DET
ejpam-283	232	38	borders	border	NOUN
ejpam-283	232	39	of	of	ADP
ejpam-283	232	40	r1(c(−g	r1(c(−g	NOUN
ejpam-283	232	41	)	)	PUNCT
ejpam-283	232	42	)	)	PUNCT
ejpam-283	232	43	and	and	CCONJ
ejpam-283	232	44	r2ab(c(−g	r2ab(c(−g	NOUN
ejpam-283	232	45	)	)	PUNCT
ejpam-283	232	46	)	)	PUNCT
ejpam-283	232	47	.	.	PUNCT
ejpam-283	233	1	figure	figure	VERB
ejpam-283	233	2	7	7	NUM
ejpam-283	233	3	shows	show	NOUN
ejpam-283	233	4	r1(c(−4	r1(c(−4	NOUN
ejpam-283	233	5	)	)	PUNCT
ejpam-283	233	6	)	)	PUNCT
ejpam-283	233	7	.	.	PUNCT
ejpam-283	234	1	observe	observe	VERB
ejpam-283	234	2	that	that	SCONJ
ejpam-283	234	3	:	:	PUNCT
ejpam-283	234	4	r1(w	r1(w	NOUN
ejpam-283	234	5	)	)	PUNCT
ejpam-283	234	6	=	=	SYM
ejpam-283	234	7	{	{	PUNCT
ejpam-283	234	8	(	(	PUNCT
ejpam-283	234	9	i	i	PROPN
ejpam-283	234	10	,	,	PUNCT
ejpam-283	234	11	j)/i	j)/i	PROPN
ejpam-283	234	12	≥	≥	NUM
ejpam-283	234	13	2∧	2∧	NUM
ejpam-283	234	14	j	j	NOUN
ejpam-283	234	15	≥	≥	NOUN
ejpam-283	234	16	0	0	NUM
ejpam-283	234	17	}	}	PUNCT
ejpam-283	234	18	6=	6=	ADP
ejpam-283	234	19	r1(c(−4	r1(c(−4	NOUN
ejpam-283	234	20	)	)	PUNCT
ejpam-283	234	21	)	)	PUNCT
ejpam-283	235	1	=	=	PRON
ejpam-283	235	2	{	{	PUNCT
ejpam-283	235	3	(	(	PUNCT
ejpam-283	235	4	i	i	NOUN
ejpam-283	235	5	,	,	PUNCT
ejpam-283	235	6	j)/(i	j)/(i	PROPN
ejpam-283	235	7	≥	≥	NUM
ejpam-283	235	8	2∧	2∧	NUM
ejpam-283	235	9	j	j	PROPN
ejpam-283	235	10	≥	≥	NUM
ejpam-283	235	11	0	0	NUM
ejpam-283	235	12	)	)	PUNCT
ejpam-283	235	13	or	or	CCONJ
ejpam-283	235	14	(	(	PUNCT
ejpam-283	235	15	i	i	NOUN
ejpam-283	235	16	=	=	SYM
ejpam-283	235	17	1∧	1∧	NUM
ejpam-283	235	18	j	j	PROPN
ejpam-283	235	19	≥	≥	NUM
ejpam-283	235	20	1	1	NUM
ejpam-283	235	21	)	)	PUNCT
ejpam-283	235	22	}	}	PUNCT
ejpam-283	235	23	.	.	PUNCT
ejpam-283	236	1	figure	figure	VERB
ejpam-283	236	2	7	7	NUM
ejpam-283	236	3	:	:	SYM
ejpam-283	236	4	r1(c(−4	r1(c(−4	NOUN
ejpam-283	236	5	)	)	PUNCT
ejpam-283	236	6	)	)	PUNCT
ejpam-283	236	7	of	of	ADP
ejpam-283	236	8	example	example	NOUN
ejpam-283	237	1	3	3	X
ejpam-283	237	2	.	.	PUNCT
ejpam-283	238	1	as	as	ADP
ejpam-283	238	2	a	a	DET
ejpam-283	238	3	consequence	consequence	NOUN
ejpam-283	238	4	of	of	ADP
ejpam-283	238	5	property	property	NOUN
ejpam-283	238	6	4	4	NUM
ejpam-283	238	7	we	we	PRON
ejpam-283	238	8	see	see	VERB
ejpam-283	238	9	that	that	SCONJ
ejpam-283	238	10	the	the	DET
ejpam-283	238	11	v	v	PROPN
ejpam-283	238	12	ma(2	ma(2	NOUN
ejpam-283	238	13	)	)	PUNCT
ejpam-283	238	14	and	and	CCONJ
ejpam-283	238	15	varma(1,1	varma(1,1	NOUN
ejpam-283	238	16	)	)	PUNCT
ejpam-283	238	17	models	model	NOUN
ejpam-283	238	18	are	be	AUX
ejpam-283	238	19	the	the	DET
ejpam-283	238	20	only	only	ADJ
ejpam-283	238	21	ones	one	NOUN
ejpam-283	238	22	with	with	ADP
ejpam-283	238	23	m.o	m.o	PROPN
ejpam-283	238	24	.	.	PROPN
ejpam-283	238	25	within	within	ADP
ejpam-283	238	26	the	the	DET
ejpam-283	238	27	confines	confine	NOUN
ejpam-283	238	28	of	of	ADP
ejpam-283	238	29	table	table	NOUN
ejpam-283	238	30	1	1	NUM
ejpam-283	238	31	;	;	PUNCT
ejpam-283	238	32	therefore	therefore	ADV
ejpam-283	238	33	,	,	PUNCT
ejpam-283	238	34	table	table	NOUN
ejpam-283	238	35	2	2	NUM
ejpam-283	238	36	can	can	AUX
ejpam-283	238	37	be	be	AUX
ejpam-283	238	38	ignored	ignore	VERB
ejpam-283	238	39	.	.	PUNCT
ejpam-283	239	1	property	property	NOUN
ejpam-283	239	2	8	8	NUM
ejpam-283	239	3	shows	show	VERB
ejpam-283	239	4	that	that	SCONJ
ejpam-283	239	5	v	v	ADP
ejpam-283	239	6	ma(2	ma(2	PROPN
ejpam-283	239	7	)	)	PUNCT
ejpam-283	239	8	and	and	CCONJ
ejpam-283	239	9	varma(1,1	varma(1,1	NOUN
ejpam-283	239	10	)	)	PUNCT
ejpam-283	239	11	are	be	AUX
ejpam-283	239	12	identifiable	identifiable	ADJ
ejpam-283	239	13	.	.	PUNCT
ejpam-283	240	1	since	since	SCONJ
ejpam-283	240	2	a0	a0	PROPN
ejpam-283	240	3	=	=	PUNCT
ejpam-283	240	4	b0	b0	PROPN
ejpam-283	240	5	=	=	NOUN
ejpam-283	240	6	i	i	PROPN
ejpam-283	240	7	,	,	PUNCT
ejpam-283	240	8	we	we	PRON
ejpam-283	240	9	need	need	VERB
ejpam-283	240	10	to	to	PART
ejpam-283	240	11	estimate	estimate	VERB
ejpam-283	240	12	two	two	NUM
ejpam-283	240	13	matrix	matrix	NOUN
ejpam-283	240	14	parameters	parameter	NOUN
ejpam-283	240	15	for	for	ADP
ejpam-283	240	16	each	each	DET
ejpam-283	240	17	model	model	NOUN
ejpam-283	240	18	.	.	PUNCT
ejpam-283	241	1	observation	observation	NOUN
ejpam-283	241	2	of	of	ADP
ejpam-283	241	3	the	the	DET
ejpam-283	241	4	tables	table	NOUN
ejpam-283	241	5	reveals	reveal	VERB
ejpam-283	241	6	that	that	SCONJ
ejpam-283	241	7	the	the	DET
ejpam-283	241	8	existence	existence	NOUN
ejpam-283	241	9	of	of	ADP
ejpam-283	241	10	m.o	m.o	PROPN
ejpam-283	241	11	.	.	PROPN
ejpam-283	241	12	can	can	AUX
ejpam-283	241	13	not	not	PART
ejpam-283	241	14	be	be	AUX
ejpam-283	241	15	ascertained	ascertain	VERB
ejpam-283	241	16	for	for	ADP
ejpam-283	241	17	(	(	PUNCT
ejpam-283	241	18	p	p	X
ejpam-283	241	19	,	,	PUNCT
ejpam-283	241	20	q	q	NOUN
ejpam-283	241	21	)	)	PUNCT
ejpam-283	241	22	with	with	ADP
ejpam-283	241	23	q	q	PROPN
ejpam-283	241	24	≥	≥	NUM
ejpam-283	241	25	6	6	NUM
ejpam-283	241	26	or	or	CCONJ
ejpam-283	241	27	p	p	PRON
ejpam-283	241	28	≥	≥	NUM
ejpam-283	241	29	6	6	NUM
ejpam-283	241	30	.	.	PUNCT
ejpam-283	242	1	in	in	ADP
ejpam-283	242	2	these	these	DET
ejpam-283	242	3	cases	case	NOUN
ejpam-283	242	4	the	the	DET
ejpam-283	242	5	corresponding	correspond	VERB
ejpam-283	242	6	models	model	NOUN
ejpam-283	242	7	are	be	AUX
ejpam-283	242	8	less	less	ADV
ejpam-283	242	9	parsimonious	parsimonious	ADJ
ejpam-283	242	10	because	because	SCONJ
ejpam-283	242	11	there	there	PRON
ejpam-283	242	12	are	be	VERB
ejpam-283	242	13	at	at	ADV
ejpam-283	242	14	least	least	ADJ
ejpam-283	242	15	six	six	NUM
ejpam-283	242	16	matrix	matrix	NOUN
ejpam-283	242	17	parameters	parameter	NOUN
ejpam-283	242	18	.	.	PUNCT
ejpam-283	243	1	the	the	DET
ejpam-283	243	2	following	following	ADJ
ejpam-283	243	3	result	result	NOUN
ejpam-283	243	4	is	be	AUX
ejpam-283	243	5	also	also	ADV
ejpam-283	243	6	important	important	ADJ
ejpam-283	243	7	:	:	PUNCT
ejpam-283	243	8	result	result	VERB
ejpam-283	243	9	1	1	NUM
ejpam-283	243	10	.	.	PUNCT
ejpam-283	244	1	if	if	SCONJ
ejpam-283	244	2	(	(	PUNCT
ejpam-283	244	3	a	a	DET
ejpam-283	244	4	,	,	PUNCT
ejpam-283	244	5	b	b	NOUN
ejpam-283	244	6	)	)	PUNCT
ejpam-283	244	7	∈	∈	PROPN
ejpam-283	244	8	r1(c(−g))∩r1(w	r1(c(−g))∩r1(w	NOUN
ejpam-283	244	9	)	)	PUNCT
ejpam-283	244	10	where	where	SCONJ
ejpam-283	244	11	g	g	PROPN
ejpam-283	244	12	≥	≥	PRON
ejpam-283	244	13	−a+	−a+	X
ejpam-283	244	14	b−1	b−1	NOUN
ejpam-283	244	15	,	,	PUNCT
ejpam-283	244	16	g	g	PROPN
ejpam-283	244	17	≥	≥	NOUN
ejpam-283	244	18	0	0	NUM
ejpam-283	244	19	and	and	CCONJ
ejpam-283	244	20	(	(	PUNCT
ejpam-283	244	21	b	b	NOUN
ejpam-283	244	22	,	,	PUNCT
ejpam-283	244	23	a	a	PRON
ejpam-283	244	24	)	)	PUNCT
ejpam-283	244	25	∈	∈	PROPN
ejpam-283	244	26	r1(m	r1(m	NUM
ejpam-283	244	27	)	)	PUNCT
ejpam-283	244	28	,	,	PUNCT
ejpam-283	244	29	then	then	ADV
ejpam-283	244	30	(	(	PUNCT
ejpam-283	244	31	i	i	PROPN
ejpam-283	244	32	,	,	PUNCT
ejpam-283	244	33	j	j	PROPN
ejpam-283	244	34	)	)	PUNCT
ejpam-283	244	35	∈	∈	PROPN
ejpam-283	244	36	r2ab(c(−g))⇔	r2ab(c(−g))⇔	NOUN
ejpam-283	244	37	(	(	PUNCT
ejpam-283	244	38	i	i	PROPN
ejpam-283	244	39	,	,	PUNCT
ejpam-283	244	40	j	j	PROPN
ejpam-283	244	41	)	)	PUNCT
ejpam-283	244	42	∈	∈	PROPN
ejpam-283	244	43	r2ab(w	r2ab(w	PROPN
ejpam-283	244	44	)	)	PUNCT
ejpam-283	244	45	⇔	⇔	PROPN
ejpam-283	244	46	(	(	PUNCT
ejpam-283	244	47	j	j	PROPN
ejpam-283	244	48	,	,	PUNCT
ejpam-283	244	49	i	i	PROPN
ejpam-283	244	50	)	)	PUNCT
ejpam-283	244	51	∈	∈	PROPN
ejpam-283	244	52	r2ba(m	r2ba(m	PROPN
ejpam-283	244	53	)	)	PUNCT
ejpam-283	244	54	.	.	PUNCT
ejpam-283	245	1	c.	c.	PROPN
ejpam-283	245	2	pestano	pestano	PROPN
ejpam-283	245	3	-	-	PUNCT
ejpam-283	245	4	gabino	gabino	PROPN
ejpam-283	245	5	,	,	PUNCT
ejpam-283	245	6	c.	c.	PROPN
ejpam-283	245	7	gonzález	gonzález	PROPN
ejpam-283	245	8	-	-	PUNCT
ejpam-283	245	9	concepción	concepción	NOUN
ejpam-283	245	10	,	,	PUNCT
ejpam-283	245	11	m.	m.	NOUN
ejpam-283	245	12	gil	gil	PROPN
ejpam-283	245	13	-	-	PROPN
ejpam-283	245	14	fariña	fariña	ADJ
ejpam-283	245	15	/	/	SYM
ejpam-283	245	16	eur	eur	NOUN
ejpam-283	245	17	.	.	PUNCT
ejpam-283	246	1	j.	j.	PROPN
ejpam-283	246	2	pure	pure	PROPN
ejpam-283	246	3	appl	appl	PROPN
ejpam-283	246	4	.	.	PROPN
ejpam-283	246	5	math	math	PROPN
ejpam-283	246	6	,	,	PUNCT
ejpam-283	246	7	3	3	NUM
ejpam-283	246	8	(	(	PUNCT
ejpam-283	246	9	2010	2010	NUM
ejpam-283	246	10	)	)	PUNCT
ejpam-283	246	11	,	,	PUNCT
ejpam-283	246	12	174	174	NUM
ejpam-283	246	13	-	-	SYM
ejpam-283	246	14	186	186	NUM
ejpam-283	246	15	183	183	NUM
ejpam-283	246	16	proof	proof	NOUN
ejpam-283	246	17	.	.	PUNCT
ejpam-283	246	18	follows	follow	VERB
ejpam-283	246	19	from	from	ADP
ejpam-283	246	20	proposition	proposition	NOUN
ejpam-283	246	21	2	2	NUM
ejpam-283	246	22	and	and	CCONJ
ejpam-283	246	23	its	its	PRON
ejpam-283	246	24	corollaries	corollary	NOUN
ejpam-283	246	25	in	in	ADP
ejpam-283	246	26	[	[	X
ejpam-283	246	27	14	14	NUM
ejpam-283	246	28	,	,	PUNCT
ejpam-283	246	29	p.	p.	NOUN
ejpam-283	246	30	34	34	NUM
ejpam-283	246	31	-	-	SYM
ejpam-283	246	32	36	36	NUM
ejpam-283	246	33	]	]	PUNCT
ejpam-283	246	34	.	.	PUNCT
ejpam-283	247	1	3	3	X
ejpam-283	247	2	.	.	X
ejpam-283	247	3	algorithm	algorithm	NOUN
ejpam-283	247	4	for	for	ADP
ejpam-283	247	5	specifying	specify	VERB
ejpam-283	247	6	minimal	minimal	ADJ
ejpam-283	247	7	rational	rational	ADJ
ejpam-283	247	8	models	model	NOUN
ejpam-283	247	9	this	this	DET
ejpam-283	247	10	algorithm	algorithm	NOUN
ejpam-283	247	11	starts	start	VERB
ejpam-283	247	12	with	with	ADP
ejpam-283	247	13	a	a	DET
ejpam-283	247	14	data	data	NOUN
ejpam-283	247	15	sample	sample	NOUN
ejpam-283	247	16	and	and	CCONJ
ejpam-283	247	17	then	then	ADV
ejpam-283	247	18	proceeds	proceed	VERB
ejpam-283	247	19	to	to	PART
ejpam-283	247	20	characterize	characterize	VERB
ejpam-283	247	21	a	a	DET
ejpam-283	247	22	rational	rational	ADJ
ejpam-283	247	23	model	model	NOUN
ejpam-283	247	24	,	,	PUNCT
ejpam-283	247	25	identify	identify	VERB
ejpam-283	247	26	its	its	PRON
ejpam-283	247	27	m.o	m.o	PROPN
ejpam-283	247	28	.	.	PROPN
ejpam-283	247	29	and	and	CCONJ
ejpam-283	247	30	study	study	NOUN
ejpam-283	247	31	parameter	parameter	NOUN
ejpam-283	247	32	identifiability	identifiability	NOUN
ejpam-283	247	33	:	:	PUNCT
ejpam-283	247	34	step	step	NOUN
ejpam-283	247	35	1	1	NUM
ejpam-283	247	36	.	.	PUNCT
ejpam-283	248	1	choose	choose	VERB
ejpam-283	248	2	the	the	DET
ejpam-283	248	3	dimensions	dimension	NOUN
ejpam-283	248	4	for	for	ADP
ejpam-283	248	5	table	table	NOUN
ejpam-283	248	6	1	1	NUM
ejpam-283	248	7	:	:	PUNCT
ejpam-283	248	8	nr	nr	NOUN
ejpam-283	248	9	rows	row	NOUN
ejpam-283	248	10	and	and	CCONJ
ejpam-283	248	11	nc	nc	PROPN
ejpam-283	248	12	columns	column	NOUN
ejpam-283	248	13	.	.	PUNCT
ejpam-283	249	1	step	step	NOUN
ejpam-283	249	2	2	2	NUM
ejpam-283	249	3	.	.	PUNCT
ejpam-283	249	4	estimate	estimate	VERB
ejpam-283	249	5	the	the	DET
ejpam-283	249	6	matrix	matrix	NOUN
ejpam-283	249	7	coefficients	coefficient	NOUN
ejpam-283	249	8	:	:	PUNCT
ejpam-283	249	9	option	option	NOUN
ejpam-283	249	10	i	i	NOUN
ejpam-283	249	11	)	)	PUNCT
ejpam-283	249	12	the	the	DET
ejpam-283	249	13	vma	vma	NOUN
ejpam-283	249	14	coefficients	coefficient	NOUN
ejpam-283	249	15	(	(	PUNCT
ejpam-283	249	16	w0,w1	w0,w1	PROPN
ejpam-283	249	17	,	,	PUNCT
ejpam-283	249	18	.	.	PUNCT
ejpam-283	249	19	.	.	PUNCT
ejpam-283	250	1	.	.	PUNCT
ejpam-283	251	1	,	,	PUNCT
ejpam-283	251	2	wnr+n	wnr+n	PROPN
ejpam-283	251	3	c+1	c+1	PROPN
ejpam-283	251	4	)	)	PUNCT
ejpam-283	251	5	option	option	NOUN
ejpam-283	251	6	ii	ii	NOUN
ejpam-283	251	7	)	)	PUNCT
ejpam-283	251	8	the	the	DET
ejpam-283	251	9	var	var	NOUN
ejpam-283	251	10	coefficients	coefficient	NOUN
ejpam-283	251	11	(	(	PUNCT
ejpam-283	251	12	m0	m0	NOUN
ejpam-283	251	13	,	,	PUNCT
ejpam-283	251	14	m1	m1	PROPN
ejpam-283	251	15	,	,	PUNCT
ejpam-283	251	16	.	.	PUNCT
ejpam-283	251	17	.	.	PUNCT
ejpam-283	251	18	.	.	PUNCT
ejpam-283	252	1	,	,	PUNCT
ejpam-283	252	2	mnr+n	mnr+n	PROPN
ejpam-283	252	3	c+1	c+1	NUM
ejpam-283	252	4	)	)	PUNCT
ejpam-283	252	5	option	option	NOUN
ejpam-283	252	6	iii	iii	NOUN
ejpam-283	252	7	)	)	PUNCT
ejpam-283	252	8	the	the	DET
ejpam-283	252	9	autocovariance	autocovariance	NOUN
ejpam-283	252	10	matrices	matrix	NOUN
ejpam-283	252	11	(	(	PUNCT
ejpam-283	252	12	c0	c0	NOUN
ejpam-283	252	13	,	,	PUNCT
ejpam-283	252	14	c1	c1	PROPN
ejpam-283	252	15	,	,	PUNCT
ejpam-283	252	16	.	.	PUNCT
ejpam-283	252	17	.	.	PUNCT
ejpam-283	252	18	.	.	PUNCT
ejpam-283	253	1	,	,	PUNCT
ejpam-283	253	2	cnr+n	cnr+n	PROPN
ejpam-283	253	3	c+1	c+1	NUM
ejpam-283	253	4	)	)	PUNCT
ejpam-283	253	5	,	,	PUNCT
ejpam-283	253	6	or	or	CCONJ
ejpam-283	253	7	option	option	NOUN
ejpam-283	253	8	iv	iv	X
ejpam-283	253	9	)	)	PUNCT
ejpam-283	253	10	the	the	DET
ejpam-283	253	11	transfer	transfer	NOUN
ejpam-283	253	12	function	function	NOUN
ejpam-283	253	13	coefficients	coefficient	NOUN
ejpam-283	253	14	(	(	PUNCT
ejpam-283	253	15	v0	v0	NOUN
ejpam-283	253	16	,	,	PUNCT
ejpam-283	253	17	v1	v1	NOUN
ejpam-283	253	18	,	,	PUNCT
ejpam-283	253	19	.	.	PUNCT
ejpam-283	253	20	.	.	PUNCT
ejpam-283	253	21	.	.	PUNCT
ejpam-283	254	1	,	,	PUNCT
ejpam-283	254	2	vnr+n	vnr+n	PROPN
ejpam-283	254	3	c+1	c+1	NUM
ejpam-283	254	4	)	)	PUNCT
ejpam-283	254	5	,	,	PUNCT
ejpam-283	254	6	etc	etc	X
ejpam-283	254	7	.	.	X
ejpam-283	254	8	step	step	VERB
ejpam-283	254	9	3	3	NUM
ejpam-283	254	10	.	.	PUNCT
ejpam-283	254	11	construct	construct	VERB
ejpam-283	254	12	table	table	NOUN
ejpam-283	254	13	1	1	NUM
ejpam-283	254	14	for	for	ADP
ejpam-283	254	15	the	the	DET
ejpam-283	254	16	above	above	ADJ
ejpam-283	254	17	c(−nr+2)(z	c(−nr+2)(z	PROPN
ejpam-283	254	18	)	)	PUNCT
ejpam-283	254	19	or	or	CCONJ
ejpam-283	254	20	w	w	ADJ
ejpam-283	254	21	(	(	PUNCT
ejpam-283	254	22	z	z	NOUN
ejpam-283	254	23	)	)	PUNCT
ejpam-283	254	24	or	or	CCONJ
ejpam-283	254	25	m(z	m(z	NOUN
ejpam-283	254	26	)	)	PUNCT
ejpam-283	254	27	or	or	CCONJ
ejpam-283	254	28	v	v	NOUN
ejpam-283	254	29	(	(	PUNCT
ejpam-283	254	30	z	z	NOUN
ejpam-283	254	31	)	)	PUNCT
ejpam-283	254	32	,	,	PUNCT
ejpam-283	254	33	etc	etc	X
ejpam-283	254	34	.	.	X
ejpam-283	255	1	if	if	SCONJ
ejpam-283	255	2	r1	r1	PROPN
ejpam-283	255	3	6=	6=	NUM
ejpam-283	255	4	;	;	PUNCT
ejpam-283	255	5	,	,	PUNCT
ejpam-283	255	6	the	the	DET
ejpam-283	255	7	process	process	NOUN
ejpam-283	255	8	has	have	VERB
ejpam-283	255	9	a	a	DET
ejpam-283	255	10	rational	rational	ADJ
ejpam-283	255	11	representation	representation	NOUN
ejpam-283	255	12	.	.	PUNCT
ejpam-283	256	1	in	in	ADP
ejpam-283	256	2	such	such	DET
ejpam-283	256	3	a	a	DET
ejpam-283	256	4	case	case	NOUN
ejpam-283	256	5	,	,	PUNCT
ejpam-283	256	6	evaluate	evaluate	VERB
ejpam-283	256	7	the	the	DET
ejpam-283	256	8	m.o	m.o	NOUN
ejpam-283	256	9	.	.	PUNCT
ejpam-283	256	10	by	by	ADP
ejpam-283	256	11	using	use	VERB
ejpam-283	256	12	the	the	DET
ejpam-283	256	13	properties	property	NOUN
ejpam-283	256	14	of	of	ADP
ejpam-283	256	15	r1	r1	PROPN
ejpam-283	256	16	.	.	PUNCT
ejpam-283	257	1	step	step	NOUN
ejpam-283	257	2	4	4	NUM
ejpam-283	257	3	.	.	PUNCT
ejpam-283	258	1	if	if	SCONJ
ejpam-283	258	2	table	table	NOUN
ejpam-283	258	3	1	1	NUM
ejpam-283	258	4	does	do	AUX
ejpam-283	258	5	not	not	PART
ejpam-283	258	6	suffice	suffice	VERB
ejpam-283	258	7	to	to	PART
ejpam-283	258	8	identify	identify	VERB
ejpam-283	258	9	all	all	PRON
ejpam-283	258	10	of	of	ADP
ejpam-283	258	11	m.o	m.o	PROPN
ejpam-283	258	12	.	.	PROPN
ejpam-283	258	13	’s	’s	PROPN
ejpam-283	258	14	,	,	PUNCT
ejpam-283	258	15	then	then	ADV
ejpam-283	258	16	construct	construct	VERB
ejpam-283	258	17	table	table	NOUN
ejpam-283	258	18	2	2	NUM
ejpam-283	258	19	.	.	PUNCT
ejpam-283	258	20	step	step	NOUN
ejpam-283	258	21	5	5	NUM
ejpam-283	258	22	.	.	PUNCT
ejpam-283	258	23	study	study	VERB
ejpam-283	258	24	the	the	DET
ejpam-283	258	25	identifiability	identifiability	NOUN
ejpam-283	258	26	for	for	ADP
ejpam-283	258	27	each	each	DET
ejpam-283	258	28	representation	representation	NOUN
ejpam-283	258	29	with	with	ADP
ejpam-283	258	30	m.o	m.o	PROPN
ejpam-283	258	31	.	.	PUNCT
ejpam-283	259	1	(	(	PUNCT
ejpam-283	259	2	p	p	X
ejpam-283	259	3	,	,	PUNCT
ejpam-283	259	4	q	q	NOUN
ejpam-283	259	5	)	)	PUNCT
ejpam-283	259	6	,	,	PUNCT
ejpam-283	259	7	using	use	VERB
ejpam-283	259	8	property	property	NOUN
ejpam-283	259	9	8	8	NUM
ejpam-283	259	10	or	or	CCONJ
ejpam-283	259	11	12	12	NUM
ejpam-283	259	12	,	,	PUNCT
ejpam-283	259	13	depending	depend	VERB
ejpam-283	259	14	on	on	ADP
ejpam-283	259	15	the	the	DET
ejpam-283	259	16	case	case	NOUN
ejpam-283	259	17	.	.	PUNCT
ejpam-283	260	1	step	step	NOUN
ejpam-283	260	2	6	6	NUM
ejpam-283	260	3	.	.	PUNCT
ejpam-283	260	4	from	from	ADP
ejpam-283	260	5	the	the	DET
ejpam-283	260	6	conditions	condition	NOUN
ejpam-283	260	7	of	of	ADP
ejpam-283	260	8	property	property	NOUN
ejpam-283	260	9	8	8	NUM
ejpam-283	260	10	or	or	CCONJ
ejpam-283	260	11	12	12	NUM
ejpam-283	260	12	,	,	PUNCT
ejpam-283	260	13	obtain	obtain	VERB
ejpam-283	260	14	initial	initial	ADJ
ejpam-283	260	15	estimators	estimator	NOUN
ejpam-283	260	16	for	for	ADP
ejpam-283	260	17	the	the	DET
ejpam-283	260	18	autoregressive	autoregressive	ADJ
ejpam-283	260	19	coefficients	coefficient	NOUN
ejpam-283	260	20	by	by	ADP
ejpam-283	260	21	solving	solve	VERB
ejpam-283	260	22	a	a	PRON
ejpam-283	260	23	)	)	PUNCT
ejpam-283	260	24	(	(	PUNCT
ejpam-283	260	25	2	2	NUM
ejpam-283	260	26	)	)	PUNCT
ejpam-283	260	27	or	or	CCONJ
ejpam-283	260	28	(	(	PUNCT
ejpam-283	260	29	3	3	NUM
ejpam-283	260	30	)	)	PUNCT
ejpam-283	260	31	with	with	ADP
ejpam-283	260	32	(	(	PUNCT
ejpam-283	260	33	q	q	ADJ
ejpam-283	260	34	,	,	PUNCT
ejpam-283	260	35	p	p	NOUN
ejpam-283	260	36	)	)	PUNCT
ejpam-283	260	37	and	and	CCONJ
ejpam-283	260	38	sr	sr	PROPN
ejpam-283	260	39	,	,	PUNCT
ejpam-283	260	40	if	if	SCONJ
ejpam-283	260	41	we	we	PRON
ejpam-283	260	42	estimated	estimate	VERB
ejpam-283	260	43	the	the	DET
ejpam-283	260	44	vma	vma	NOUN
ejpam-283	260	45	coefficients	coefficient	NOUN
ejpam-283	260	46	or	or	CCONJ
ejpam-283	260	47	the	the	DET
ejpam-283	260	48	autocovariance	autocovariance	NOUN
ejpam-283	260	49	matrices	matrix	NOUN
ejpam-283	260	50	in	in	ADP
ejpam-283	260	51	step	step	NOUN
ejpam-283	260	52	2	2	NUM
ejpam-283	260	53	or	or	CCONJ
ejpam-283	260	54	b	b	NOUN
ejpam-283	260	55	)	)	PUNCT
ejpam-283	260	56	(	(	PUNCT
ejpam-283	260	57	2	2	NUM
ejpam-283	260	58	)	)	PUNCT
ejpam-283	260	59	or	or	CCONJ
ejpam-283	260	60	(	(	PUNCT
ejpam-283	260	61	3	3	X
ejpam-283	260	62	)	)	PUNCT
ejpam-283	260	63	with	with	ADP
ejpam-283	260	64	(	(	PUNCT
ejpam-283	260	65	p	p	X
ejpam-283	260	66	,	,	PUNCT
ejpam-283	260	67	q	q	NOUN
ejpam-283	260	68	)	)	PUNCT
ejpam-283	260	69	and	and	CCONJ
ejpam-283	260	70	rs	rs	ADJ
ejpam-283	260	71	,	,	PUNCT
ejpam-283	260	72	if	if	SCONJ
ejpam-283	260	73	we	we	PRON
ejpam-283	260	74	estimated	estimate	VERB
ejpam-283	260	75	the	the	DET
ejpam-283	260	76	var	var	NOUN
ejpam-283	260	77	coefficients	coefficient	NOUN
ejpam-283	260	78	matrices	matrix	NOUN
ejpam-283	260	79	in	in	ADP
ejpam-283	260	80	step	step	NOUN
ejpam-283	260	81	2	2	NUM
ejpam-283	260	82	.	.	PUNCT
ejpam-283	260	83	steps	step	NOUN
ejpam-283	260	84	1	1	NUM
ejpam-283	260	85	,	,	PUNCT
ejpam-283	260	86	2	2	NUM
ejpam-283	260	87	and	and	CCONJ
ejpam-283	260	88	3	3	NUM
ejpam-283	260	89	can	can	AUX
ejpam-283	260	90	be	be	AUX
ejpam-283	260	91	considered	consider	VERB
ejpam-283	260	92	as	as	ADP
ejpam-283	260	93	an	an	DET
ejpam-283	260	94	improvement	improvement	NOUN
ejpam-283	260	95	over	over	ADP
ejpam-283	260	96	the	the	DET
ejpam-283	260	97	varma	varma	PROPN
ejpam-283	260	98	model	model	NOUN
ejpam-283	260	99	procedure	procedure	NOUN
ejpam-283	260	100	given	give	VERB
ejpam-283	260	101	in	in	ADP
ejpam-283	260	102	[	[	X
ejpam-283	260	103	17	17	NUM
ejpam-283	260	104	]	]	PUNCT
ejpam-283	260	105	,	,	PUNCT
ejpam-283	260	106	especially	especially	ADV
ejpam-283	260	107	when	when	SCONJ
ejpam-283	260	108	determining	determine	VERB
ejpam-283	260	109	an	an	DET
ejpam-283	260	110	overall	overall	ADJ
ejpam-283	260	111	order	order	NOUN
ejpam-283	260	112	,	,	PUNCT
ejpam-283	260	113	because	because	SCONJ
ejpam-283	260	114	the	the	DET
ejpam-283	260	115	ambiguous	ambiguous	ADJ
ejpam-283	260	116	parameter	parameter	NOUN
ejpam-283	260	117	h	h	NOUN
ejpam-283	260	118	in	in	ADP
ejpam-283	260	119	[	[	X
ejpam-283	260	120	17	17	NUM
ejpam-283	260	121	]	]	PUNCT
ejpam-283	260	122	is	be	AUX
ejpam-283	260	123	not	not	PART
ejpam-283	260	124	necessary	necessary	ADJ
ejpam-283	260	125	here	here	ADV
ejpam-283	260	126	,	,	PUNCT
ejpam-283	260	127	and	and	CCONJ
ejpam-283	260	128	then	then	ADV
ejpam-283	260	129	the	the	DET
ejpam-283	260	130	dimensions	dimension	NOUN
ejpam-283	260	131	of	of	ADP
ejpam-283	260	132	the	the	DET
ejpam-283	260	133	matrices	matrix	NOUN
ejpam-283	260	134	involved	involve	VERB
ejpam-283	260	135	are	be	AUX
ejpam-283	260	136	not	not	PART
ejpam-283	260	137	larger	large	ADJ
ejpam-283	260	138	than	than	ADP
ejpam-283	260	139	necessary	necessary	ADJ
ejpam-283	260	140	.	.	PUNCT
ejpam-283	261	1	simplified	simplified	ADJ
ejpam-283	261	2	table	table	NOUN
ejpam-283	261	3	1	1	NUM
ejpam-283	261	4	.	.	PUNCT
ejpam-283	262	1	in	in	ADP
ejpam-283	262	2	[	[	X
ejpam-283	262	3	12	12	NUM
ejpam-283	262	4	]	]	PUNCT
ejpam-283	262	5	a	a	DET
ejpam-283	262	6	simplified	simplified	ADJ
ejpam-283	262	7	table	table	NOUN
ejpam-283	262	8	1	1	NUM
ejpam-283	262	9	was	be	AUX
ejpam-283	262	10	constructed	construct	VERB
ejpam-283	262	11	to	to	PART
ejpam-283	262	12	save	save	VERB
ejpam-283	262	13	on	on	ADP
ejpam-283	262	14	computational	computational	ADJ
ejpam-283	262	15	work	work	NOUN
ejpam-283	262	16	.	.	PUNCT
ejpam-283	263	1	redundant	redundant	ADJ
ejpam-283	263	2	parameters	parameter	NOUN
ejpam-283	263	3	.	.	PUNCT
ejpam-283	264	1	if	if	SCONJ
ejpam-283	264	2	for	for	ADP
ejpam-283	264	3	a	a	DET
ejpam-283	264	4	certain	certain	ADJ
ejpam-283	264	5	pair	pair	NOUN
ejpam-283	264	6	of	of	ADP
ejpam-283	264	7	m.o	m.o	PROPN
ejpam-283	264	8	.	.	PUNCT
ejpam-283	265	1	the	the	DET
ejpam-283	265	2	representation	representation	NOUN
ejpam-283	265	3	is	be	AUX
ejpam-283	265	4	not	not	PART
ejpam-283	265	5	unique	unique	ADJ
ejpam-283	265	6	,	,	PUNCT
ejpam-283	265	7	then	then	ADV
ejpam-283	265	8	different	different	AUX
ejpam-283	265	9	“	"	PUNCT
ejpam-283	265	10	canonical”representations	canonical”representation	NOUN
ejpam-283	265	11	might	might	AUX
ejpam-283	265	12	be	be	AUX
ejpam-283	265	13	defined	define	VERB
ejpam-283	265	14	by	by	ADP
ejpam-283	265	15	fixing	fix	VERB
ejpam-283	265	16	certain	certain	ADJ
ejpam-283	265	17	sets	set	NOUN
ejpam-283	265	18	of	of	ADP
ejpam-283	265	19	free	free	ADJ
ejpam-283	265	20	parameters	parameter	NOUN
ejpam-283	265	21	.	.	PUNCT
ejpam-283	266	1	the	the	DET
ejpam-283	266	2	echelon	echelon	NOUN
ejpam-283	266	3	form	form	NOUN
ejpam-283	266	4	furnishes	furnish	VERB
ejpam-283	266	5	such	such	DET
ejpam-283	266	6	an	an	DET
ejpam-283	266	7	example	example	NOUN
ejpam-283	266	8	[	[	X
ejpam-283	266	9	see	see	VERB
ejpam-283	266	10	e.g.	e.g.	ADV
ejpam-283	266	11	9	9	NUM
ejpam-283	266	12	]	]	PUNCT
ejpam-283	266	13	.	.	PUNCT
ejpam-283	267	1	the	the	DET
ejpam-283	267	2	specification	specification	NOUN
ejpam-283	267	3	problem	problem	NOUN
ejpam-283	267	4	in	in	ADP
ejpam-283	267	5	varma	varma	PROPN
ejpam-283	267	6	models	model	NOUN
ejpam-283	267	7	was	be	AUX
ejpam-283	267	8	studied	study	VERB
ejpam-283	267	9	through	through	ADP
ejpam-283	267	10	scm	scm	PROPN
ejpam-283	267	11	in	in	ADP
ejpam-283	267	12	[	[	X
ejpam-283	267	13	17	17	NUM
ejpam-283	267	14	]	]	PUNCT
ejpam-283	267	15	,	,	PUNCT
ejpam-283	267	16	where	where	SCONJ
ejpam-283	267	17	tiao	tiao	NOUN
ejpam-283	267	18	and	and	CCONJ
ejpam-283	267	19	tsay	tsay	PROPN
ejpam-283	267	20	eliminated	eliminate	VERB
ejpam-283	267	21	one	one	NUM
ejpam-283	267	22	type	type	NOUN
ejpam-283	267	23	of	of	ADP
ejpam-283	267	24	redundant	redundant	ADJ
ejpam-283	267	25	parameters	parameter	NOUN
ejpam-283	267	26	by	by	ADP
ejpam-283	267	27	carefully	carefully	ADV
ejpam-283	267	28	studying	study	VERB
ejpam-283	267	29	the	the	DET
ejpam-283	267	30	scm	scm	PROPN
ejpam-283	267	31	.	.	PUNCT
ejpam-283	268	1	a	a	DET
ejpam-283	268	2	non	non	ADJ
ejpam-283	268	3	-	-	ADJ
ejpam-283	268	4	identifiable	identifiable	ADJ
ejpam-283	268	5	varma(p	varma(p	PROPN
ejpam-283	268	6	,	,	PUNCT
ejpam-283	268	7	q	q	NOUN
ejpam-283	268	8	)	)	PUNCT
ejpam-283	268	9	representation	representation	NOUN
ejpam-283	268	10	is	be	AUX
ejpam-283	268	11	always	always	ADV
ejpam-283	268	12	a	a	DET
ejpam-283	268	13	significant	significant	ADJ
ejpam-283	268	14	problem	problem	NOUN
ejpam-283	268	15	when	when	SCONJ
ejpam-283	268	16	estimating	estimate	VERB
ejpam-283	268	17	a1	a1	NOUN
ejpam-283	268	18	,	,	PUNCT
ejpam-283	268	19	...	...	PUNCT
ejpam-283	268	20	,	,	PUNCT
ejpam-283	268	21	ap	ap	PROPN
ejpam-283	268	22	,	,	PUNCT
ejpam-283	268	23	b1	b1	PROPN
ejpam-283	268	24	,	,	PUNCT
ejpam-283	268	25	.	.	PUNCT
ejpam-283	268	26	.	.	PUNCT
ejpam-283	269	1	.	.	PUNCT
ejpam-283	270	1	,	,	PUNCT
ejpam-283	270	2	bq	bq	INTJ
ejpam-283	270	3	.	.	PUNCT
ejpam-283	270	4	properties	property	NOUN
ejpam-283	270	5	8	8	NUM
ejpam-283	270	6	and	and	CCONJ
ejpam-283	270	7	12	12	NUM
ejpam-283	270	8	offer	offer	VERB
ejpam-283	270	9	a	a	DET
ejpam-283	270	10	method	method	NOUN
ejpam-283	270	11	of	of	ADP
ejpam-283	270	12	determining	determine	VERB
ejpam-283	270	13	whether	whether	SCONJ
ejpam-283	270	14	or	or	CCONJ
ejpam-283	270	15	not	not	PART
ejpam-283	270	16	a	a	DET
ejpam-283	270	17	process	process	NOUN
ejpam-283	270	18	follows	follow	VERB
ejpam-283	270	19	m.o	m.o	PROPN
ejpam-283	270	20	.	.	PUNCT
ejpam-283	270	21	identifiable	identifiable	ADJ
ejpam-283	270	22	representations	representation	NOUN
ejpam-283	270	23	.	.	PUNCT
ejpam-283	271	1	c.	c.	PROPN
ejpam-283	271	2	pestano	pestano	PROPN
ejpam-283	271	3	-	-	PUNCT
ejpam-283	271	4	gabino	gabino	PROPN
ejpam-283	271	5	,	,	PUNCT
ejpam-283	271	6	c.	c.	PROPN
ejpam-283	271	7	gonzález	gonzález	PROPN
ejpam-283	271	8	-	-	PUNCT
ejpam-283	271	9	concepción	concepción	NOUN
ejpam-283	271	10	,	,	PUNCT
ejpam-283	271	11	m.	m.	NOUN
ejpam-283	271	12	gil	gil	PROPN
ejpam-283	271	13	-	-	PROPN
ejpam-283	271	14	fariña	fariña	ADJ
ejpam-283	271	15	/	/	SYM
ejpam-283	271	16	eur	eur	NOUN
ejpam-283	271	17	.	.	PUNCT
ejpam-283	272	1	j.	j.	PROPN
ejpam-283	272	2	pure	pure	PROPN
ejpam-283	272	3	appl	appl	PROPN
ejpam-283	272	4	.	.	PROPN
ejpam-283	272	5	math	math	PROPN
ejpam-283	272	6	,	,	PUNCT
ejpam-283	272	7	3	3	NUM
ejpam-283	272	8	(	(	PUNCT
ejpam-283	272	9	2010	2010	NUM
ejpam-283	272	10	)	)	PUNCT
ejpam-283	272	11	,	,	PUNCT
ejpam-283	272	12	174	174	NUM
ejpam-283	272	13	-	-	SYM
ejpam-283	272	14	186	186	NUM
ejpam-283	272	15	184	184	NUM
ejpam-283	272	16	if	if	SCONJ
ejpam-283	272	17	in	in	ADP
ejpam-283	272	18	step	step	NOUN
ejpam-283	272	19	2	2	NUM
ejpam-283	272	20	of	of	ADP
ejpam-283	272	21	the	the	DET
ejpam-283	272	22	above	above	ADJ
ejpam-283	272	23	algorithm	algorithm	NOUN
ejpam-283	272	24	we	we	PRON
ejpam-283	272	25	estimate	estimate	VERB
ejpam-283	272	26	(	(	PUNCT
ejpam-283	272	27	w0,w1	w0,w1	PROPN
ejpam-283	272	28	,	,	PUNCT
ejpam-283	272	29	...	...	PUNCT
ejpam-283	272	30	,	,	PUNCT
ejpam-283	272	31	wnr+n	wnr+n	PROPN
ejpam-283	272	32	c+1	c+1	PROPN
ejpam-283	272	33	)	)	PUNCT
ejpam-283	272	34	,	,	PUNCT
ejpam-283	272	35	or	or	CCONJ
ejpam-283	272	36	(	(	PUNCT
ejpam-283	272	37	c0	c0	PROPN
ejpam-283	272	38	,	,	PUNCT
ejpam-283	272	39	c1	c1	PROPN
ejpam-283	272	40	,	,	PUNCT
ejpam-283	272	41	.	.	PUNCT
ejpam-283	272	42	.	.	PUNCT
ejpam-283	272	43	.	.	PUNCT
ejpam-283	273	1	,	,	PUNCT
ejpam-283	273	2	cnr+n	cnr+n	PROPN
ejpam-283	273	3	c+1	c+1	NUM
ejpam-283	273	4	)	)	PUNCT
ejpam-283	273	5	and	and	CCONJ
ejpam-283	273	6	if	if	SCONJ
ejpam-283	273	7	(	(	PUNCT
ejpam-283	273	8	q	q	X
ejpam-283	273	9	,	,	PUNCT
ejpam-283	273	10	p	p	ADJ
ejpam-283	273	11	)	)	PUNCT
ejpam-283	273	12	∈	∈	PROPN
ejpam-283	273	13	r2sr	r2sr	PUNCT
ejpam-283	273	14	and	and	CCONJ
ejpam-283	273	15	rank(m4sr(q	rank(m4sr(q	NUM
ejpam-283	273	16	,	,	PUNCT
ejpam-283	273	17	p	p	NOUN
ejpam-283	273	18	)	)	PUNCT
ejpam-283	273	19	)	)	PUNCT
ejpam-283	274	1	=	=	SYM
ejpam-283	274	2	b	b	X
ejpam-283	274	3	<	<	X
ejpam-283	274	4	pk	pk	NOUN
ejpam-283	274	5	,	,	PUNCT
ejpam-283	274	6	then	then	ADV
ejpam-283	274	7	the	the	DET
ejpam-283	274	8	associated	associated	ADJ
ejpam-283	274	9	rational	rational	ADJ
ejpam-283	274	10	representation	representation	NOUN
ejpam-283	274	11	is	be	AUX
ejpam-283	274	12	not	not	PART
ejpam-283	274	13	unique	unique	ADJ
ejpam-283	274	14	.	.	PUNCT
ejpam-283	275	1	so	so	ADV
ejpam-283	275	2	in	in	ADP
ejpam-283	275	3	what	what	PRON
ejpam-283	275	4	follows	follow	VERB
ejpam-283	275	5	,	,	PUNCT
ejpam-283	275	6	we	we	PRON
ejpam-283	275	7	will	will	AUX
ejpam-283	275	8	define	define	VERB
ejpam-283	275	9	a	a	DET
ejpam-283	275	10	new	new	ADJ
ejpam-283	275	11	canonical	canonical	ADJ
ejpam-283	275	12	representation	representation	NOUN
ejpam-283	275	13	with	with	ADP
ejpam-283	275	14	eliminated	eliminate	VERB
ejpam-283	275	15	redundant	redundant	ADJ
ejpam-283	275	16	parameters	parameter	NOUN
ejpam-283	275	17	.	.	PUNCT
ejpam-283	276	1	to	to	PART
ejpam-283	276	2	do	do	VERB
ejpam-283	276	3	so	so	ADV
ejpam-283	276	4	,	,	PUNCT
ejpam-283	276	5	observe	observe	VERB
ejpam-283	276	6	that	that	SCONJ
ejpam-283	276	7	each	each	DET
ejpam-283	276	8	ith	ith	PROPN
ejpam-283	276	9	row	row	NOUN
ejpam-283	276	10	of	of	ADP
ejpam-283	276	11	lssr(q	lssr(q	PROPN
ejpam-283	276	12	,	,	PUNCT
ejpam-283	276	13	p	p	NOUN
ejpam-283	276	14	)	)	PUNCT
ejpam-283	276	15	can	can	AUX
ejpam-283	276	16	be	be	AUX
ejpam-283	276	17	written	write	VERB
ejpam-283	276	18	as	as	ADP
ejpam-283	276	19	(	(	PUNCT
ejpam-283	276	20	d(i)p	d(i)p	PROPN
ejpam-283	276	21	d	d	X
ejpam-283	276	22	(	(	PUNCT
ejpam-283	276	23	i	i	NOUN
ejpam-283	276	24	)	)	PUNCT
ejpam-283	276	25	p−1	p−1	PROPN
ejpam-283	276	26	.	.	PUNCT
ejpam-283	276	27	.	.	PUNCT
ejpam-283	277	1	.d	.d	NOUN
ejpam-283	277	2	(	(	PUNCT
ejpam-283	277	3	i	i	NOUN
ejpam-283	277	4	)	)	PUNCT
ejpam-283	277	5	1	1	NUM
ejpam-283	277	6	)	)	PUNCT
ejpam-283	277	7	m4sr(q	m4sr(q	PROPN
ejpam-283	277	8	,	,	PUNCT
ejpam-283	277	9	p	p	NOUN
ejpam-283	277	10	)	)	PUNCT
ejpam-283	277	11	=	=	SYM
ejpam-283	277	12	(	(	PUNCT
ejpam-283	277	13	c	c	X
ejpam-283	277	14	(	(	PUNCT
ejpam-283	277	15	i	i	NOUN
ejpam-283	277	16	)	)	PUNCT
ejpam-283	277	17	q+1	q+1	PROPN
ejpam-283	277	18	.	.	PUNCT
ejpam-283	277	19	..	..	PUNCT
ejpam-283	278	1	c	c	X
ejpam-283	278	2	(	(	PUNCT
ejpam-283	278	3	i	i	NOUN
ejpam-283	278	4	)	)	PUNCT
ejpam-283	278	5	s+r	s+r	NUM
ejpam-283	278	6	)	)	PUNCT
ejpam-283	279	1	i	i	PRON
ejpam-283	279	2	=	=	NOUN
ejpam-283	279	3	1	1	NUM
ejpam-283	279	4	,	,	PUNCT
ejpam-283	279	5	...	...	PUNCT
ejpam-283	279	6	,	,	PUNCT
ejpam-283	279	7	k.	k.	PROPN
ejpam-283	280	1	obviously	obviously	ADV
ejpam-283	280	2	,	,	PUNCT
ejpam-283	280	3	there	there	PRON
ejpam-283	280	4	are	be	VERB
ejpam-283	280	5	several	several	ADJ
ejpam-283	280	6	different	different	ADJ
ejpam-283	280	7	ways	way	NOUN
ejpam-283	280	8	to	to	PART
ejpam-283	280	9	choose	choose	VERB
ejpam-283	280	10	f	f	PROPN
ejpam-283	280	11	=	=	SYM
ejpam-283	280	12	pk	pk	PROPN
ejpam-283	280	13	−	−	PROPN
ejpam-283	280	14	b	b	PROPN
ejpam-283	280	15	rows	row	NOUN
ejpam-283	280	16	of	of	ADP
ejpam-283	280	17	m4sr(q	m4sr(q	PROPN
ejpam-283	280	18	,	,	PUNCT
ejpam-283	280	19	p	p	NOUN
ejpam-283	280	20	)	)	PUNCT
ejpam-283	280	21	,	,	PUNCT
ejpam-283	280	22	all	all	PRON
ejpam-283	280	23	of	of	ADP
ejpam-283	280	24	them	they	PRON
ejpam-283	280	25	depending	depend	VERB
ejpam-283	280	26	on	on	ADP
ejpam-283	280	27	the	the	DET
ejpam-283	280	28	other	other	ADJ
ejpam-283	280	29	b	b	PROPN
ejpam-283	280	30	linear	linear	ADJ
ejpam-283	280	31	independent	independent	ADJ
ejpam-283	280	32	rows	row	NOUN
ejpam-283	280	33	.	.	PUNCT
ejpam-283	281	1	let	let	VERB
ejpam-283	281	2	us	we	PRON
ejpam-283	281	3	choose	choose	VERB
ejpam-283	281	4	,	,	PUNCT
ejpam-283	281	5	for	for	ADP
ejpam-283	281	6	example	example	NOUN
ejpam-283	281	7	,	,	PUNCT
ejpam-283	281	8	the	the	DET
ejpam-283	281	9	ith1	ith1	NOUN
ejpam-283	281	10	,	,	PUNCT
ejpam-283	281	11	the	the	DET
ejpam-283	281	12	ith2	ith2	PROPN
ejpam-283	281	13	,	,	PUNCT
ejpam-283	281	14	...	...	PUNCT
ejpam-283	281	15	and	and	CCONJ
ejpam-283	281	16	the	the	DET
ejpam-283	281	17	ith	ith	PROPN
ejpam-283	281	18	f	f	PROPN
ejpam-283	281	19	rows	row	NOUN
ejpam-283	281	20	.	.	PUNCT
ejpam-283	282	1	then	then	ADV
ejpam-283	282	2	,	,	PUNCT
ejpam-283	282	3	we	we	PRON
ejpam-283	282	4	can	can	AUX
ejpam-283	282	5	define	define	VERB
ejpam-283	282	6	a	a	DET
ejpam-283	282	7	“	"	PUNCT
ejpam-283	282	8	canonical	canonical	ADJ
ejpam-283	282	9	”	"	PUNCT
ejpam-283	282	10	representation	representation	NOUN
ejpam-283	282	11	as	as	SCONJ
ejpam-283	282	12	follows	follow	VERB
ejpam-283	282	13	:	:	PUNCT
ejpam-283	282	14	the	the	DET
ejpam-283	282	15	f	f	PROPN
ejpam-283	282	16	columns	columns	PROPN
ejpam-283	282	17	i1	i1	PROPN
ejpam-283	282	18	,	,	PUNCT
ejpam-283	282	19	i2	i2	PROPN
ejpam-283	282	20	,	,	PUNCT
ejpam-283	282	21	...	...	PUNCT
ejpam-283	282	22	,	,	PUNCT
ejpam-283	282	23	i	i	PRON
ejpam-283	282	24	f	f	PROPN
ejpam-283	282	25	of	of	ADP
ejpam-283	282	26	the	the	DET
ejpam-283	282	27	k×	k×	PROPN
ejpam-283	282	28	pk	pk	NOUN
ejpam-283	282	29	matrix	matrix	NOUN
ejpam-283	282	30	(	(	PUNCT
ejpam-283	282	31	dpdp−1	dpdp−1	NOUN
ejpam-283	282	32	...	...	PUNCT
ejpam-283	282	33	d1	d1	NOUN
ejpam-283	282	34	)	)	PUNCT
ejpam-283	282	35	are	be	AUX
ejpam-283	282	36	k	k	NOUN
ejpam-283	282	37	-	-	NOUN
ejpam-283	282	38	vectors	vector	NOUN
ejpam-283	282	39	with	with	ADP
ejpam-283	282	40	annihilated	annihilate	VERB
ejpam-283	282	41	coordinates	coordinate	NOUN
ejpam-283	282	42	,	,	PUNCT
ejpam-283	282	43	while	while	SCONJ
ejpam-283	282	44	the	the	DET
ejpam-283	282	45	remaining	remain	VERB
ejpam-283	282	46	b	b	NOUN
ejpam-283	282	47	columns	column	NOUN
ejpam-283	282	48	of	of	ADP
ejpam-283	282	49	this	this	DET
ejpam-283	282	50	matrix	matrix	NOUN
ejpam-283	282	51	have	have	VERB
ejpam-283	282	52	unique	unique	ADJ
ejpam-283	282	53	estimation	estimation	NOUN
ejpam-283	282	54	.	.	PUNCT
ejpam-283	283	1	many	many	ADJ
ejpam-283	283	2	other	other	ADJ
ejpam-283	283	3	alternative	alternative	NOUN
ejpam-283	283	4	and	and	CCONJ
ejpam-283	283	5	similar	similar	ADJ
ejpam-283	283	6	representations	representation	NOUN
ejpam-283	283	7	could	could	AUX
ejpam-283	283	8	be	be	AUX
ejpam-283	283	9	easily	easily	ADV
ejpam-283	283	10	defined	define	VERB
ejpam-283	283	11	(	(	PUNCT
ejpam-283	283	12	by	by	ADP
ejpam-283	283	13	choosing	choose	VERB
ejpam-283	283	14	another	another	DET
ejpam-283	283	15	set	set	NOUN
ejpam-283	283	16	of	of	ADP
ejpam-283	283	17	f	f	PROPN
ejpam-283	283	18	rows	row	NOUN
ejpam-283	283	19	in	in	ADP
ejpam-283	283	20	m4sr(q	m4sr(q	PROPN
ejpam-283	283	21	,	,	PUNCT
ejpam-283	283	22	p	p	NOUN
ejpam-283	283	23	)	)	PUNCT
ejpam-283	283	24	)	)	PUNCT
ejpam-283	283	25	and	and	CCONJ
ejpam-283	283	26	all	all	DET
ejpam-283	283	27	redundant	redundant	ADJ
ejpam-283	283	28	parameters	parameter	NOUN
ejpam-283	283	29	can	can	AUX
ejpam-283	283	30	be	be	AUX
ejpam-283	283	31	eliminated	eliminate	VERB
ejpam-283	283	32	.	.	PUNCT
ejpam-283	284	1	remark	remark	NOUN
ejpam-283	284	2	:	:	PUNCT
ejpam-283	284	3	if	if	SCONJ
ejpam-283	284	4	in	in	ADP
ejpam-283	284	5	step	step	NOUN
ejpam-283	284	6	2	2	NUM
ejpam-283	284	7	of	of	ADP
ejpam-283	284	8	the	the	DET
ejpam-283	284	9	algorithm	algorithm	NOUN
ejpam-283	284	10	we	we	PRON
ejpam-283	284	11	estimate	estimate	VERB
ejpam-283	284	12	(	(	PUNCT
ejpam-283	284	13	m0	m0	NOUN
ejpam-283	284	14	,	,	PUNCT
ejpam-283	284	15	m1	m1	PROPN
ejpam-283	284	16	,	,	PUNCT
ejpam-283	284	17	.	.	PUNCT
ejpam-283	284	18	.	.	PUNCT
ejpam-283	285	1	.	.	PUNCT
ejpam-283	286	1	,	,	PUNCT
ejpam-283	286	2	mnr+n	mnr+n	PROPN
ejpam-283	286	3	c+1	c+1	NUM
ejpam-283	286	4	)	)	PUNCT
ejpam-283	286	5	,	,	PUNCT
ejpam-283	286	6	then	then	ADV
ejpam-283	286	7	we	we	PRON
ejpam-283	286	8	must	must	AUX
ejpam-283	286	9	substitute	substitute	VERB
ejpam-283	286	10	p	p	NOUN
ejpam-283	286	11	with	with	ADP
ejpam-283	286	12	q	q	PROPN
ejpam-283	286	13	and	and	CCONJ
ejpam-283	286	14	s	s	X
ejpam-283	286	15	with	with	ADP
ejpam-283	286	16	r.	r.	PROPN
ejpam-283	286	17	4	4	NUM
ejpam-283	286	18	.	.	PUNCT
ejpam-283	287	1	conclusions	conclusion	NOUN
ejpam-283	287	2	in	in	ADP
ejpam-283	287	3	this	this	DET
ejpam-283	287	4	contribution	contribution	NOUN
ejpam-283	287	5	,	,	PUNCT
ejpam-283	287	6	we	we	PRON
ejpam-283	287	7	investigated	investigate	VERB
ejpam-283	287	8	a	a	DET
ejpam-283	287	9	practical	practical	ADJ
ejpam-283	287	10	method	method	NOUN
ejpam-283	287	11	to	to	PART
ejpam-283	287	12	apply	apply	VERB
ejpam-283	287	13	in	in	ADP
ejpam-283	287	14	the	the	DET
ejpam-283	287	15	analysis	analysis	NOUN
ejpam-283	287	16	of	of	ADP
ejpam-283	287	17	multivariate	multivariate	NOUN
ejpam-283	287	18	time	time	NOUN
ejpam-283	287	19	series	series	PROPN
ejpam-283	287	20	.	.	PUNCT
ejpam-283	288	1	the	the	DET
ejpam-283	288	2	effects	effect	NOUN
ejpam-283	288	3	of	of	ADP
ejpam-283	288	4	such	such	DET
ejpam-283	288	5	an	an	DET
ejpam-283	288	6	application	application	NOUN
ejpam-283	288	7	allowed	allow	VERB
ejpam-283	288	8	us	we	PRON
ejpam-283	288	9	to	to	PART
ejpam-283	288	10	characterize	characterize	VERB
ejpam-283	288	11	rational	rational	ADJ
ejpam-283	288	12	matrix	matrix	NOUN
ejpam-283	288	13	models	model	NOUN
ejpam-283	288	14	,	,	PUNCT
ejpam-283	288	15	study	study	VERB
ejpam-283	288	16	the	the	DET
ejpam-283	288	17	possible	possible	ADJ
ejpam-283	288	18	pairs	pair	NOUN
ejpam-283	288	19	of	of	ADP
ejpam-283	288	20	minimum	minimum	ADJ
ejpam-283	288	21	orders	order	NOUN
ejpam-283	288	22	,	,	PUNCT
ejpam-283	288	23	recognize	recognize	VERB
ejpam-283	288	24	the	the	DET
ejpam-283	288	25	exchangeable	exchangeable	ADJ
ejpam-283	288	26	models	model	NOUN
ejpam-283	288	27	that	that	PRON
ejpam-283	288	28	might	might	AUX
ejpam-283	288	29	exist	exist	VERB
ejpam-283	288	30	and	and	CCONJ
ejpam-283	288	31	detect	detect	VERB
ejpam-283	288	32	identifiable	identifiable	ADJ
ejpam-283	288	33	and	and	CCONJ
ejpam-283	288	34	non	non	ADJ
ejpam-283	288	35	-	-	ADJ
ejpam-283	288	36	identifiable	identifiable	ADJ
ejpam-283	288	37	representations	representation	NOUN
ejpam-283	288	38	.	.	PUNCT
ejpam-283	289	1	note	note	VERB
ejpam-283	289	2	that	that	SCONJ
ejpam-283	289	3	our	our	PRON
ejpam-283	289	4	method	method	NOUN
ejpam-283	289	5	does	do	AUX
ejpam-283	289	6	not	not	PART
ejpam-283	289	7	require	require	VERB
ejpam-283	289	8	any	any	DET
ejpam-283	289	9	knowledge	knowledge	NOUN
ejpam-283	289	10	of	of	ADP
ejpam-283	289	11	the	the	DET
ejpam-283	289	12	matrix	matrix	NOUN
ejpam-283	289	13	coefficients	coefficient	NOUN
ejpam-283	289	14	of	of	ADP
ejpam-283	289	15	the	the	DET
ejpam-283	289	16	polynomials	polynomial	NOUN
ejpam-283	289	17	that	that	PRON
ejpam-283	289	18	appear	appear	VERB
ejpam-283	289	19	in	in	ADP
ejpam-283	289	20	the	the	DET
ejpam-283	289	21	model	model	NOUN
ejpam-283	289	22	.	.	PUNCT
ejpam-283	290	1	through	through	ADP
ejpam-283	290	2	the	the	DET
ejpam-283	290	3	example	example	NOUN
ejpam-283	290	4	,	,	PUNCT
ejpam-283	290	5	we	we	PRON
ejpam-283	290	6	have	have	AUX
ejpam-283	290	7	shown	show	VERB
ejpam-283	290	8	that	that	SCONJ
ejpam-283	290	9	the	the	DET
ejpam-283	290	10	adopted	adopt	VERB
ejpam-283	290	11	approach	approach	NOUN
ejpam-283	290	12	offers	offer	VERB
ejpam-283	290	13	the	the	DET
ejpam-283	290	14	following	following	ADJ
ejpam-283	290	15	advantages	advantage	NOUN
ejpam-283	290	16	:	:	PUNCT
ejpam-283	290	17	the	the	DET
ejpam-283	290	18	procedure	procedure	NOUN
ejpam-283	290	19	is	be	AUX
ejpam-283	290	20	straightforward	straightforward	ADJ
ejpam-283	290	21	in	in	ADP
ejpam-283	290	22	the	the	DET
ejpam-283	290	23	sense	sense	NOUN
ejpam-283	290	24	that	that	SCONJ
ejpam-283	290	25	the	the	DET
ejpam-283	290	26	results	result	NOUN
ejpam-283	290	27	are	be	AUX
ejpam-283	290	28	presented	present	VERB
ejpam-283	290	29	directly	directly	ADV
ejpam-283	290	30	in	in	ADP
ejpam-283	290	31	tables	table	NOUN
ejpam-283	290	32	that	that	PRON
ejpam-283	290	33	are	be	AUX
ejpam-283	290	34	easily	easily	ADV
ejpam-283	290	35	interpretable	interpretable	ADJ
ejpam-283	290	36	.	.	PUNCT
ejpam-283	291	1	presumably	presumably	ADV
ejpam-283	291	2	,	,	PUNCT
ejpam-283	291	3	one	one	NUM
ejpam-283	291	4	of	of	ADP
ejpam-283	291	5	the	the	DET
ejpam-283	291	6	benefits	benefit	NOUN
ejpam-283	291	7	of	of	ADP
ejpam-283	291	8	this	this	DET
ejpam-283	291	9	method	method	NOUN
ejpam-283	291	10	is	be	AUX
ejpam-283	291	11	computational	computational	ADJ
ejpam-283	291	12	efficiency	efficiency	NOUN
ejpam-283	291	13	.	.	PUNCT
ejpam-283	292	1	the	the	DET
ejpam-283	292	2	procedure	procedure	NOUN
ejpam-283	292	3	provides	provide	VERB
ejpam-283	292	4	a	a	DET
ejpam-283	292	5	(	(	PUNCT
ejpam-283	292	6	possible	possible	ADJ
ejpam-283	292	7	)	)	PUNCT
ejpam-283	292	8	solution	solution	NOUN
ejpam-283	292	9	of	of	ADP
ejpam-283	292	10	the	the	DET
ejpam-283	292	11	minimality	minimality	NOUN
ejpam-283	292	12	problem	problem	NOUN
ejpam-283	292	13	for	for	ADP
ejpam-283	292	14	the	the	DET
ejpam-283	292	15	varma	varma	PROPN
ejpam-283	292	16	models	model	NOUN
ejpam-283	292	17	.	.	PUNCT
ejpam-283	293	1	this	this	DET
ejpam-283	293	2	problem	problem	NOUN
ejpam-283	293	3	was	be	AUX
ejpam-283	293	4	pointed	point	VERB
ejpam-283	293	5	out	out	ADP
ejpam-283	293	6	in	in	ADP
ejpam-283	293	7	[	[	X
ejpam-283	293	8	2	2	NUM
ejpam-283	293	9	,	,	PUNCT
ejpam-283	293	10	p.	p.	NOUN
ejpam-283	293	11	310	310	NUM
ejpam-283	293	12	]	]	X
ejpam-283	293	13	,	,	PUNCT
ejpam-283	293	14	as	as	ADV
ejpam-283	293	15	well	well	ADV
ejpam-283	293	16	as	as	ADP
ejpam-283	293	17	in	in	ADP
ejpam-283	293	18	other	other	ADJ
ejpam-283	293	19	related	related	ADJ
ejpam-283	293	20	studies	study	NOUN
ejpam-283	293	21	,	,	PUNCT
ejpam-283	293	22	referring	refer	VERB
ejpam-283	293	23	to	to	ADP
ejpam-283	293	24	the	the	DET
ejpam-283	293	25	mathematical	mathematical	ADJ
ejpam-283	293	26	complexity	complexity	NOUN
ejpam-283	293	27	of	of	ADP
ejpam-283	293	28	the	the	DET
ejpam-283	293	29	question	question	NOUN
ejpam-283	293	30	.	.	PUNCT
ejpam-283	294	1	the	the	DET
ejpam-283	294	2	proposed	propose	VERB
ejpam-283	294	3	definition	definition	NOUN
ejpam-283	294	4	of	of	ADP
ejpam-283	294	5	m.o	m.o	PROPN
ejpam-283	294	6	.	.	PROPN
ejpam-283	294	7	permits	permit	VERB
ejpam-283	294	8	us	we	PRON
ejpam-283	294	9	to	to	PART
ejpam-283	294	10	advance	advance	VERB
ejpam-283	294	11	in	in	ADP
ejpam-283	294	12	a	a	DET
ejpam-283	294	13	more	more	ADV
ejpam-283	294	14	global	global	ADJ
ejpam-283	294	15	study	study	NOUN
ejpam-283	294	16	of	of	ADP
ejpam-283	294	17	the	the	DET
ejpam-283	294	18	identifiability	identifiability	NOUN
ejpam-283	294	19	problem	problem	NOUN
ejpam-283	294	20	.	.	PUNCT
ejpam-283	295	1	though	though	SCONJ
ejpam-283	295	2	it	it	PRON
ejpam-283	295	3	would	would	AUX
ejpam-283	295	4	be	be	AUX
ejpam-283	295	5	interesting	interesting	ADJ
ejpam-283	295	6	to	to	PART
ejpam-283	295	7	compare	compare	VERB
ejpam-283	295	8	the	the	DET
ejpam-283	295	9	statistical	statistical	ADJ
ejpam-283	295	10	procedures	procedure	NOUN
ejpam-283	295	11	in	in	ADP
ejpam-283	295	12	a	a	DET
ejpam-283	295	13	more	more	ADV
ejpam-283	295	14	general	general	ADJ
ejpam-283	295	15	way	way	NOUN
ejpam-283	295	16	using	use	VERB
ejpam-283	295	17	simulation	simulation	NOUN
ejpam-283	295	18	exercises	exercise	NOUN
ejpam-283	295	19	,	,	PUNCT
ejpam-283	295	20	the	the	DET
ejpam-283	295	21	necessary	necessary	ADJ
ejpam-283	295	22	software	software	NOUN
ejpam-283	295	23	is	be	AUX
ejpam-283	295	24	not	not	PART
ejpam-283	295	25	available	available	ADJ
ejpam-283	295	26	.	.	PUNCT
ejpam-283	296	1	nevertheless	nevertheless	ADV
ejpam-283	296	2	,	,	PUNCT
ejpam-283	296	3	procedures	procedure	NOUN
ejpam-283	296	4	to	to	PART
ejpam-283	296	5	determine	determine	VERB
ejpam-283	296	6	the	the	DET
ejpam-283	296	7	rank	rank	NOUN
ejpam-283	296	8	based	base	VERB
ejpam-283	296	9	on	on	ADP
ejpam-283	296	10	qr	qr	NOUN
ejpam-283	296	11	or	or	CCONJ
ejpam-283	296	12	similar	similar	ADJ
ejpam-283	296	13	algorithms	algorithm	NOUN
ejpam-283	296	14	using	use	VERB
ejpam-283	296	15	orthogonality	orthogonality	NOUN
ejpam-283	296	16	properties	property	NOUN
ejpam-283	296	17	[	[	X
ejpam-283	296	18	6	6	NUM
ejpam-283	296	19	]	]	PUNCT
ejpam-283	296	20	may	may	AUX
ejpam-283	296	21	still	still	ADV
ejpam-283	296	22	be	be	AUX
ejpam-283	296	23	explored	explore	VERB
ejpam-283	296	24	.	.	PUNCT
ejpam-283	297	1	further	far	ADV
ejpam-283	297	2	,	,	PUNCT
ejpam-283	297	3	we	we	PRON
ejpam-283	297	4	have	have	AUX
ejpam-283	297	5	also	also	ADV
ejpam-283	297	6	given	give	VERB
ejpam-283	297	7	theoretical	theoretical	ADJ
ejpam-283	297	8	relationships	relationship	NOUN
ejpam-283	297	9	between	between	ADP
ejpam-283	297	10	rational	rational	ADJ
ejpam-283	297	11	matrix	matrix	NOUN
ejpam-283	297	12	functions	function	NOUN
ejpam-283	297	13	and	and	CCONJ
ejpam-283	297	14	rational	rational	ADJ
ejpam-283	297	15	representations	representation	NOUN
ejpam-283	297	16	of	of	ADP
ejpam-283	297	17	a	a	DET
ejpam-283	297	18	multivariate	multivariate	NOUN
ejpam-283	297	19	time	time	NOUN
ejpam-283	297	20	series	series	NOUN
ejpam-283	297	21	within	within	ADP
ejpam-283	297	22	a	a	DET
ejpam-283	297	23	wide	wide	ADJ
ejpam-283	297	24	range	range	NOUN
ejpam-283	297	25	of	of	ADP
ejpam-283	297	26	applications	application	NOUN
ejpam-283	297	27	.	.	PUNCT
ejpam-283	298	1	the	the	DET
ejpam-283	298	2	results	result	NOUN
ejpam-283	298	3	coming	come	VERB
ejpam-283	298	4	from	from	ADP
ejpam-283	298	5	our	our	PRON
ejpam-283	298	6	investigations	investigation	NOUN
ejpam-283	298	7	could	could	AUX
ejpam-283	298	8	contribute	contribute	VERB
ejpam-283	298	9	to	to	ADP
ejpam-283	298	10	the	the	DET
ejpam-283	298	11	development	development	NOUN
ejpam-283	298	12	of	of	ADP
ejpam-283	298	13	new	new	ADJ
ejpam-283	298	14	statistical	statistical	ADJ
ejpam-283	298	15	procedures	procedure	NOUN
ejpam-283	298	16	in	in	ADP
ejpam-283	298	17	the	the	DET
ejpam-283	298	18	future	future	NOUN
ejpam-283	298	19	,	,	PUNCT
ejpam-283	298	20	specifically	specifically	ADV
ejpam-283	298	21	by	by	ADP
ejpam-283	298	22	considering	consider	VERB
ejpam-283	298	23	:	:	PUNCT
ejpam-283	298	24	a	a	X
ejpam-283	298	25	)	)	PUNCT
ejpam-283	298	26	w	w	NOUN
ejpam-283	298	27	(	(	PUNCT
ejpam-283	298	28	z	z	NOUN
ejpam-283	298	29	)	)	PUNCT
ejpam-283	298	30	(	(	PUNCT
ejpam-283	298	31	with	with	ADP
ejpam-283	298	32	moving	move	VERB
ejpam-283	298	33	average	average	ADJ
ejpam-283	298	34	references	reference	NOUN
ejpam-283	298	35	185	185	NUM
ejpam-283	298	36	coefficients	coefficient	NOUN
ejpam-283	298	37	)	)	PUNCT
ejpam-283	298	38	;	;	PUNCT
ejpam-283	298	39	b	b	X
ejpam-283	298	40	)	)	PUNCT
ejpam-283	298	41	m(z	m(z	PROPN
ejpam-283	298	42	)	)	PUNCT
ejpam-283	298	43	(	(	PUNCT
ejpam-283	298	44	with	with	ADP
ejpam-283	298	45	autoregressive	autoregressive	ADJ
ejpam-283	298	46	coefficients	coefficient	NOUN
ejpam-283	298	47	)	)	PUNCT
ejpam-283	298	48	;	;	PUNCT
ejpam-283	298	49	c	c	X
ejpam-283	298	50	)	)	PUNCT
ejpam-283	298	51	non	non	ADJ
ejpam-283	298	52	-	-	ADJ
ejpam-283	298	53	stationary	stationary	ADJ
ejpam-283	298	54	processes	process	NOUN
ejpam-283	298	55	;	;	PUNCT
ejpam-283	298	56	d	d	X
ejpam-283	298	57	)	)	PUNCT
ejpam-283	298	58	redundant	redundant	ADJ
ejpam-283	298	59	parameters	parameter	NOUN
ejpam-283	298	60	and	and	CCONJ
ejpam-283	298	61	the	the	DET
ejpam-283	298	62	definition	definition	NOUN
ejpam-283	298	63	of	of	ADP
ejpam-283	298	64	new	new	ADJ
ejpam-283	298	65	canonical	canonical	ADJ
ejpam-283	298	66	representations	representation	NOUN
ejpam-283	298	67	;	;	PUNCT
ejpam-283	298	68	e	e	X
ejpam-283	298	69	)	)	PUNCT
ejpam-283	298	70	systems	system	NOUN
ejpam-283	298	71	of	of	ADP
ejpam-283	298	72	transfer	transfer	NOUN
ejpam-283	298	73	function	function	NOUN
ejpam-283	298	74	equations	equation	NOUN
ejpam-283	298	75	.	.	PUNCT
ejpam-283	299	1	we	we	PRON
ejpam-283	299	2	believe	believe	VERB
ejpam-283	299	3	that	that	SCONJ
ejpam-283	299	4	these	these	DET
ejpam-283	299	5	future	future	ADJ
ejpam-283	299	6	studies	study	NOUN
ejpam-283	299	7	will	will	AUX
ejpam-283	299	8	considerably	considerably	ADV
ejpam-283	299	9	enrich	enrich	VERB
ejpam-283	299	10	the	the	DET
ejpam-283	299	11	field	field	NOUN
ejpam-283	299	12	of	of	ADP
ejpam-283	299	13	multivariate	multivariate	NOUN
ejpam-283	299	14	time	time	NOUN
ejpam-283	299	15	series	series	PROPN
ejpam-283	299	16	analysis	analysis	NOUN
ejpam-283	299	17	.	.	PUNCT
ejpam-283	300	1	acknowledgements	acknowledgement	NOUN
ejpam-283	300	2	this	this	DET
ejpam-283	300	3	work	work	NOUN
ejpam-283	300	4	was	be	AUX
ejpam-283	300	5	partially	partially	ADV
ejpam-283	300	6	funded	fund	VERB
ejpam-283	300	7	by	by	ADP
ejpam-283	300	8	"	"	PUNCT
ejpam-283	300	9	ministerio	ministerio	PROPN
ejpam-283	300	10	de	de	PROPN
ejpam-283	300	11	educación	educación	PROPN
ejpam-283	300	12	y	y	PROPN
ejpam-283	300	13	ciencia	ciencia	PROPN
ejpam-283	300	14	"	"	PUNCT
ejpam-283	300	15	mtm2008	mtm2008	NOUN
ejpam-283	300	16	-	-	PUNCT
ejpam-283	300	17	06671	06671	NUM
ejpam-283	300	18	and	and	CCONJ
ejpam-283	300	19	mtm2006	mtm2006	NOUN
ejpam-283	300	20	-	-	PUNCT
ejpam-283	300	21	14961	14961	NUM
ejpam-283	300	22	-	-	PUNCT
ejpam-283	300	23	c05	c05	NOUN
ejpam-283	300	24	-	-	PUNCT
ejpam-283	300	25	03	03	NUM
ejpam-283	300	26	.	.	PUNCT
ejpam-283	301	1	references	reference	NOUN
ejpam-283	301	2	[	[	X
ejpam-283	301	3	1	1	X
ejpam-283	301	4	]	]	X
ejpam-283	301	5	j.m	j.m	ADJ
ejpam-283	301	6	beguin	beguin	NOUN
ejpam-283	301	7	,	,	PUNCT
ejpam-283	301	8	c.	c.	PROPN
ejpam-283	301	9	gourieroux	gourieroux	NOUN
ejpam-283	301	10	and	and	CCONJ
ejpam-283	301	11	a.	a.	NOUN
ejpam-283	301	12	monfort	monfort	NOUN
ejpam-283	301	13	,	,	PUNCT
ejpam-283	301	14	.	.	PUNCT
ejpam-283	302	1	identification	identification	NOUN
ejpam-283	302	2	of	of	ADP
ejpam-283	302	3	a	a	DET
ejpam-283	302	4	mixed	mixed	ADJ
ejpam-283	302	5	autoregressivemoving	autoregressivemove	VERB
ejpam-283	302	6	average	average	ADJ
ejpam-283	302	7	process	process	NOUN
ejpam-283	302	8	:	:	PUNCT
ejpam-283	302	9	the	the	DET
ejpam-283	302	10	corner	corner	NOUN
ejpam-283	302	11	method	method	NOUN
ejpam-283	302	12	,	,	PUNCT
ejpam-283	302	13	in	in	ADP
ejpam-283	302	14	o.	o.	PROPN
ejpam-283	302	15	d.	d.	PROPN
ejpam-283	302	16	anderson(ed	anderson(ed	PROPN
ejpam-283	302	17	.	.	PUNCT
ejpam-283	302	18	)	)	PUNCT
ejpam-283	302	19	,	,	PUNCT
ejpam-283	302	20	time	time	NOUN
ejpam-283	302	21	series	series	PROPN
ejpam-283	302	22	,	,	PUNCT
ejpam-283	302	23	amsterdam	amsterdam	PROPN
ejpam-283	302	24	:	:	PUNCT
ejpam-283	302	25	north	north	NOUN
ejpam-283	302	26	-	-	PUNCT
ejpam-283	302	27	holland	holland	PROPN
ejpam-283	302	28	,	,	PUNCT
ejpam-283	302	29	1980	1980	NUM
ejpam-283	302	30	,	,	PUNCT
ejpam-283	302	31	423	423	NUM
ejpam-283	302	32	-	-	SYM
ejpam-283	302	33	436	436	NUM
ejpam-283	302	34	.	.	PUNCT
ejpam-283	303	1	[	[	X
ejpam-283	303	2	2	2	NUM
ejpam-283	303	3	]	]	PUNCT
ejpam-283	303	4	c.	c.	NOUN
ejpam-283	303	5	gourieroux	gourieroux	NOUN
ejpam-283	303	6	and	and	CCONJ
ejpam-283	303	7	a.	a.	NOUN
ejpam-283	303	8	monfort	monfort	NOUN
ejpam-283	303	9	,	,	PUNCT
ejpam-283	303	10	séries	série	NOUN
ejpam-283	303	11	temporelles	temporelle	NOUN
ejpam-283	303	12	et	et	PROPN
ejpam-283	303	13	modéles	modéle	NOUN
ejpam-283	303	14	dynamiques	dynamiques	PROPN
ejpam-283	303	15	,	,	PUNCT
ejpam-283	303	16	economica	economica	PROPN
ejpam-283	303	17	,	,	PUNCT
ejpam-283	303	18	paris	paris	PROPN
ejpam-283	303	19	,	,	PUNCT
ejpam-283	303	20	1990	1990	NUM
ejpam-283	303	21	.	.	PUNCT
ejpam-283	304	1	[	[	X
ejpam-283	304	2	3	3	NUM
ejpam-283	304	3	]	]	X
ejpam-283	304	4	e.j	e.j	PROPN
ejpam-283	304	5	.	.	PROPN
ejpam-283	304	6	hannan	hannan	PROPN
ejpam-283	304	7	,	,	PUNCT
ejpam-283	304	8	the	the	DET
ejpam-283	304	9	identification	identification	NOUN
ejpam-283	304	10	of	of	ADP
ejpam-283	304	11	vector	vector	NOUN
ejpam-283	304	12	mixed	mix	VERB
ejpam-283	304	13	autoregressive	autoregressive	ADJ
ejpam-283	304	14	-	-	PUNCT
ejpam-283	304	15	moving	move	VERB
ejpam-283	304	16	average	average	ADJ
ejpam-283	304	17	systems	system	NOUN
ejpam-283	304	18	,	,	PUNCT
ejpam-283	304	19	biometrika	biometrika	NOUN
ejpam-283	304	20	56	56	NUM
ejpam-283	304	21	:	:	PUNCT
ejpam-283	304	22	223	223	NUM
ejpam-283	304	23	-	-	SYM
ejpam-283	304	24	225	225	NUM
ejpam-283	304	25	(	(	PUNCT
ejpam-283	304	26	1969	1969	NUM
ejpam-283	304	27	)	)	PUNCT
ejpam-283	304	28	.	.	PUNCT
ejpam-283	305	1	[	[	X
ejpam-283	305	2	4	4	X
ejpam-283	305	3	]	]	PUNCT
ejpam-283	305	4	_	_	PUNCT
ejpam-283	306	1	_	_	PUNCT
ejpam-283	307	1	_	_	PUNCT
ejpam-283	308	1	_	_	PUNCT
ejpam-283	309	1	_	_	PUNCT
ejpam-283	310	1	_	_	PUNCT
ejpam-283	311	1	_	_	PUNCT
ejpam-283	312	1	_	_	PUNCT
ejpam-283	312	2	,	,	PUNCT
ejpam-283	312	3	the	the	DET
ejpam-283	312	4	asymptotic	asymptotic	ADJ
ejpam-283	312	5	distribution	distribution	NOUN
ejpam-283	312	6	of	of	ADP
ejpam-283	312	7	serial	serial	ADJ
ejpam-283	312	8	covariances	covariance	NOUN
ejpam-283	312	9	,	,	PUNCT
ejpam-283	312	10	the	the	DET
ejpam-283	312	11	annals	annal	NOUN
ejpam-283	312	12	of	of	ADP
ejpam-283	312	13	statistics	statistic	NOUN
ejpam-283	312	14	4	4	NUM
ejpam-283	312	15	(	(	PUNCT
ejpam-283	312	16	2	2	NUM
ejpam-283	312	17	):	):	PUNCT
ejpam-283	312	18	396	396	NUM
ejpam-283	312	19	-	-	SYM
ejpam-283	312	20	399	399	NUM
ejpam-283	312	21	(	(	PUNCT
ejpam-283	312	22	1976	1976	NUM
ejpam-283	312	23	)	)	PUNCT
ejpam-283	312	24	.	.	PUNCT
ejpam-283	313	1	[	[	X
ejpam-283	313	2	5	5	NUM
ejpam-283	313	3	]	]	X
ejpam-283	313	4	e.j	e.j	PROPN
ejpam-283	313	5	.	.	PROPN
ejpam-283	313	6	hannan	hannan	PROPN
ejpam-283	313	7	and	and	CCONJ
ejpam-283	313	8	m.	m.	PROPN
ejpam-283	313	9	deistler	deistler	NOUN
ejpam-283	313	10	,	,	PUNCT
ejpam-283	313	11	the	the	DET
ejpam-283	313	12	statistical	statistical	ADJ
ejpam-283	313	13	theory	theory	NOUN
ejpam-283	313	14	of	of	ADP
ejpam-283	313	15	linear	linear	PROPN
ejpam-283	313	16	systems	system	NOUN
ejpam-283	313	17	,	,	PUNCT
ejpam-283	313	18	john	john	PROPN
ejpam-283	313	19	wiley	wiley	PROPN
ejpam-283	313	20	&	&	CCONJ
ejpam-283	313	21	sons	sons	PROPN
ejpam-283	313	22	,	,	PUNCT
ejpam-283	313	23	inc	inc	PROPN
ejpam-283	313	24	.	.	PROPN
ejpam-283	313	25	,	,	PUNCT
ejpam-283	313	26	new	new	PROPN
ejpam-283	313	27	york	york	PROPN
ejpam-283	313	28	,	,	PUNCT
ejpam-283	313	29	1988	1988	NUM
ejpam-283	313	30	.	.	PUNCT
ejpam-283	314	1	[	[	X
ejpam-283	314	2	6	6	NUM
ejpam-283	314	3	]	]	X
ejpam-283	314	4	k.l	k.l	PROPN
ejpam-283	314	5	.	.	PROPN
ejpam-283	314	6	judd	judd	PROPN
ejpam-283	314	7	,	,	PUNCT
ejpam-283	314	8	numerical	numerical	ADJ
ejpam-283	314	9	methods	method	NOUN
ejpam-283	314	10	in	in	ADP
ejpam-283	314	11	economics	economic	NOUN
ejpam-283	314	12	,	,	PUNCT
ejpam-283	314	13	mit	mit	PROPN
ejpam-283	314	14	press	press	NOUN
ejpam-283	314	15	,	,	PUNCT
ejpam-283	314	16	london	london	PROPN
ejpam-283	314	17	,	,	PUNCT
ejpam-283	314	18	1998	1998	NUM
ejpam-283	314	19	.	.	PUNCT
ejpam-283	315	1	[	[	X
ejpam-283	315	2	7	7	X
ejpam-283	315	3	]	]	X
ejpam-283	315	4	s.g	s.g	PROPN
ejpam-283	315	5	.	.	PROPN
ejpam-283	315	6	koreisha	koreisha	PROPN
ejpam-283	315	7	and	and	CCONJ
ejpam-283	315	8	t.	t.	PROPN
ejpam-283	315	9	pukkila	pukkila	PROPN
ejpam-283	315	10	,	,	PUNCT
ejpam-283	315	11	the	the	DET
ejpam-283	315	12	selection	selection	NOUN
ejpam-283	315	13	of	of	ADP
ejpam-283	315	14	the	the	DET
ejpam-283	315	15	order	order	NOUN
ejpam-283	315	16	and	and	CCONJ
ejpam-283	315	17	identification	identification	NOUN
ejpam-283	315	18	of	of	ADP
ejpam-283	315	19	nonzero	nonzero	ADJ
ejpam-283	315	20	elements	element	NOUN
ejpam-283	315	21	in	in	ADP
ejpam-283	315	22	the	the	DET
ejpam-283	315	23	polynomial	polynomial	ADJ
ejpam-283	315	24	matrices	matrix	NOUN
ejpam-283	315	25	of	of	ADP
ejpam-283	315	26	vector	vector	NOUN
ejpam-283	315	27	autoregressive	autoregressive	ADJ
ejpam-283	315	28	process	process	NOUN
ejpam-283	315	29	,	,	PUNCT
ejpam-283	315	30	journal	journal	NOUN
ejpam-283	315	31	of	of	ADP
ejpam-283	315	32	statistical	statistical	ADJ
ejpam-283	315	33	computation	computation	NOUN
ejpam-283	315	34	and	and	CCONJ
ejpam-283	315	35	simulation	simulation	NOUN
ejpam-283	315	36	,	,	PUNCT
ejpam-283	315	37	62	62	NUM
ejpam-283	315	38	:	:	PUNCT
ejpam-283	315	39	207	207	NUM
ejpam-283	315	40	-	-	SYM
ejpam-283	315	41	235	235	NUM
ejpam-283	315	42	(	(	PUNCT
ejpam-283	315	43	1999	1999	NUM
ejpam-283	315	44	)	)	PUNCT
ejpam-283	315	45	.	.	PUNCT
ejpam-283	316	1	[	[	X
ejpam-283	316	2	8	8	NUM
ejpam-283	316	3	]	]	X
ejpam-283	316	4	s.g	s.g	PROPN
ejpam-283	316	5	.	.	PROPN
ejpam-283	316	6	koreisha	koreisha	PROPN
ejpam-283	316	7	and	and	CCONJ
ejpam-283	316	8	t.	t.	PROPN
ejpam-283	316	9	pukkila	pukkila	PROPN
ejpam-283	316	10	,	,	PUNCT
ejpam-283	316	11	the	the	DET
ejpam-283	316	12	specification	specification	NOUN
ejpam-283	316	13	on	on	ADP
ejpam-283	316	14	vector	vector	NOUN
ejpam-283	316	15	autoregressive	autoregressive	ADJ
ejpam-283	316	16	moving	move	VERB
ejpam-283	316	17	average	average	ADJ
ejpam-283	316	18	models	model	NOUN
ejpam-283	316	19	,	,	PUNCT
ejpam-283	316	20	journal	journal	NOUN
ejpam-283	316	21	of	of	ADP
ejpam-283	316	22	statistical	statistical	ADJ
ejpam-283	316	23	computation	computation	NOUN
ejpam-283	316	24	and	and	CCONJ
ejpam-283	316	25	simulation	simulation	NOUN
ejpam-283	316	26	,	,	PUNCT
ejpam-283	316	27	74	74	NUM
ejpam-283	316	28	(	(	PUNCT
ejpam-283	316	29	8)	8)	NUM
ejpam-283	316	30	:	:	PUNCT
ejpam-283	316	31	547	547	NUM
ejpam-283	316	32	-	-	SYM
ejpam-283	316	33	565	565	NUM
ejpam-283	316	34	(	(	PUNCT
ejpam-283	316	35	2004	2004	NUM
ejpam-283	316	36	)	)	PUNCT
ejpam-283	316	37	.	.	PUNCT
ejpam-283	317	1	[	[	X
ejpam-283	317	2	9	9	NUM
ejpam-283	317	3	]	]	X
ejpam-283	317	4	h.	h.	PROPN
ejpam-283	317	5	lütkepohl	lütkepohl	PROPN
ejpam-283	317	6	,	,	PUNCT
ejpam-283	317	7	introduction	introduction	NOUN
ejpam-283	317	8	to	to	ADP
ejpam-283	317	9	multiple	multiple	ADJ
ejpam-283	317	10	time	time	NOUN
ejpam-283	317	11	series	series	PROPN
ejpam-283	317	12	analysis	analysis	NOUN
ejpam-283	317	13	,	,	PUNCT
ejpam-283	317	14	springer	springer	NOUN
ejpam-283	317	15	-	-	PUNCT
ejpam-283	317	16	verlag	verlag	PROPN
ejpam-283	317	17	,	,	PUNCT
ejpam-283	317	18	berlin	berlin	PROPN
ejpam-283	317	19	,	,	PUNCT
ejpam-283	317	20	1993	1993	NUM
ejpam-283	317	21	.	.	PUNCT
ejpam-283	318	1	[	[	X
ejpam-283	318	2	10	10	NUM
ejpam-283	318	3	]	]	X
ejpam-283	318	4	h.	h.	PROPN
ejpam-283	318	5	lütkepohl	lütkepohl	PROPN
ejpam-283	318	6	and	and	CCONJ
ejpam-283	318	7	d.s	d.s	PROPN
ejpam-283	318	8	.	.	PROPN
ejpam-283	318	9	poskitt	poskitt	VERB
ejpam-283	318	10	.	.	PUNCT
ejpam-283	318	11	specification	specification	NOUN
ejpam-283	318	12	of	of	ADP
ejpam-283	318	13	echelon	echelon	NOUN
ejpam-283	318	14	-	-	PUNCT
ejpam-283	318	15	form	form	NOUN
ejpam-283	318	16	varma	varma	NOUN
ejpam-283	318	17	models	model	NOUN
ejpam-283	318	18	,	,	PUNCT
ejpam-283	318	19	journal	journal	NOUN
ejpam-283	318	20	of	of	ADP
ejpam-283	318	21	business	business	PROPN
ejpam-283	318	22	&	&	CCONJ
ejpam-283	318	23	economic	economic	ADJ
ejpam-283	318	24	statistics	statistic	NOUN
ejpam-283	318	25	14	14	NUM
ejpam-283	318	26	(	(	PUNCT
ejpam-283	318	27	1	1	NUM
ejpam-283	318	28	):	):	PUNCT
ejpam-283	318	29	69	69	NUM
ejpam-283	318	30	-	-	SYM
ejpam-283	318	31	79	79	NUM
ejpam-283	318	32	(	(	PUNCT
ejpam-283	318	33	1996	1996	NUM
ejpam-283	318	34	)	)	PUNCT
ejpam-283	318	35	.	.	PUNCT
ejpam-283	319	1	[	[	X
ejpam-283	319	2	11	11	NUM
ejpam-283	319	3	]	]	X
ejpam-283	319	4	d.	d.	PROPN
ejpam-283	319	5	peña	peña	PROPN
ejpam-283	319	6	,	,	PUNCT
ejpam-283	319	7	g.o	g.o	PROPN
ejpam-283	319	8	.	.	PROPN
ejpam-283	319	9	tiao	tiao	PROPN
ejpam-283	319	10	and	and	CCONJ
ejpam-283	319	11	r.s	r.s	PROPN
ejpam-283	319	12	.	.	PROPN
ejpam-283	319	13	tsay	tsay	PROPN
ejpam-283	319	14	,	,	PUNCT
ejpam-283	319	15	a	a	DET
ejpam-283	319	16	course	course	NOUN
ejpam-283	319	17	in	in	ADP
ejpam-283	319	18	time	time	NOUN
ejpam-283	319	19	series	series	PROPN
ejpam-283	319	20	analysis	analysis	NOUN
ejpam-283	319	21	,	,	PUNCT
ejpam-283	319	22	john	john	PROPN
ejpam-283	319	23	wiley	wiley	PROPN
ejpam-283	319	24	&	&	CCONJ
ejpam-283	319	25	sons	sons	PROPN
ejpam-283	319	26	,	,	PUNCT
ejpam-283	319	27	inc	inc	PROPN
ejpam-283	319	28	.	.	PROPN
ejpam-283	319	29	,	,	PUNCT
ejpam-283	319	30	new	new	PROPN
ejpam-283	319	31	york	york	PROPN
ejpam-283	319	32	,	,	PUNCT
ejpam-283	319	33	2001	2001	NUM
ejpam-283	319	34	.	.	PUNCT
ejpam-283	320	1	[	[	X
ejpam-283	320	2	12	12	NUM
ejpam-283	320	3	]	]	X
ejpam-283	320	4	c.	c.	PROPN
ejpam-283	320	5	pestano	pestano	PROPN
ejpam-283	320	6	-	-	PUNCT
ejpam-283	320	7	gabino	gabino	PROPN
ejpam-283	320	8	and	and	CCONJ
ejpam-283	320	9	c.	c.	PROPN
ejpam-283	320	10	gonzález	gonzález	PROPN
ejpam-283	320	11	-	-	PUNCT
ejpam-283	320	12	concepción	concepción	NOUN
ejpam-283	320	13	,	,	PUNCT
ejpam-283	320	14	matrix	matrix	NOUN
ejpam-283	320	15	padé	padé	NOUN
ejpam-283	320	16	approximation	approximation	NOUN
ejpam-283	320	17	of	of	ADP
ejpam-283	320	18	rational	rational	ADJ
ejpam-283	320	19	functions	function	NOUN
ejpam-283	320	20	,	,	PUNCT
ejpam-283	320	21	numerical	numerical	ADJ
ejpam-283	320	22	algorithms	algorithm	NOUN
ejpam-283	320	23	15	15	NUM
ejpam-283	320	24	:	:	PUNCT
ejpam-283	320	25	167	167	NUM
ejpam-283	320	26	-	-	SYM
ejpam-283	320	27	192	192	NUM
ejpam-283	320	28	(	(	PUNCT
ejpam-283	320	29	1997	1997	NUM
ejpam-283	320	30	)	)	PUNCT
ejpam-283	320	31	.	.	PUNCT
ejpam-283	321	1	references	reference	NOUN
ejpam-283	321	2	186	186	NUM
ejpam-283	322	1	[	[	X
ejpam-283	322	2	13	13	NUM
ejpam-283	322	3	]	]	PUNCT
ejpam-283	323	1	_	_	PUNCT
ejpam-283	324	1	_	_	PUNCT
ejpam-283	325	1	_	_	PUNCT
ejpam-283	326	1	_	_	PUNCT
ejpam-283	327	1	_	_	PUNCT
ejpam-283	328	1	_	_	PUNCT
ejpam-283	329	1	_	_	PUNCT
ejpam-283	330	1	_	_	PUNCT
ejpam-283	331	1	_	_	PUNCT
ejpam-283	332	1	_	_	PUNCT
ejpam-283	333	1	_	_	PUNCT
ejpam-283	334	1	_	_	PUNCT
ejpam-283	335	1	_	_	PUNCT
ejpam-283	336	1	_	_	PUNCT
ejpam-283	337	1	_	_	PUNCT
ejpam-283	338	1	_	_	PUNCT
ejpam-283	338	2	,	,	PUNCT
ejpam-283	338	3	a	a	DET
ejpam-283	338	4	new	new	ADJ
ejpam-283	338	5	approach	approach	NOUN
ejpam-283	338	6	in	in	ADP
ejpam-283	338	7	multivariate	multivariate	NOUN
ejpam-283	338	8	time	time	NOUN
ejpam-283	338	9	series	series	PROPN
ejpam-283	338	10	specification	specification	PROPN
ejpam-283	338	11	,	,	PUNCT
ejpam-283	338	12	international	international	PROPN
ejpam-283	338	13	advanced	advanced	ADJ
ejpam-283	338	14	in	in	ADP
ejpam-283	338	15	economic	economic	ADJ
ejpam-283	338	16	research	research	NOUN
ejpam-283	338	17	,	,	PUNCT
ejpam-283	338	18	4	4	NUM
ejpam-283	338	19	(	(	PUNCT
ejpam-283	338	20	3	3	NUM
ejpam-283	338	21	):	):	PUNCT
ejpam-283	338	22	229	229	NUM
ejpam-283	338	23	-	-	SYM
ejpam-283	338	24	242	242	NUM
ejpam-283	338	25	(	(	PUNCT
ejpam-283	338	26	1998	1998	NUM
ejpam-283	338	27	)	)	PUNCT
ejpam-283	338	28	.	.	PUNCT
ejpam-283	339	1	[	[	X
ejpam-283	339	2	14	14	NUM
ejpam-283	339	3	]	]	PUNCT
ejpam-283	339	4	_	_	PUNCT
ejpam-283	340	1	_	_	PUNCT
ejpam-283	341	1	_	_	PUNCT
ejpam-283	342	1	_	_	PUNCT
ejpam-283	343	1	_	_	PUNCT
ejpam-283	344	1	_	_	PUNCT
ejpam-283	345	1	_	_	PUNCT
ejpam-283	346	1	_	_	PUNCT
ejpam-283	347	1	_	_	PUNCT
ejpam-283	348	1	_	_	PUNCT
ejpam-283	349	1	_	_	PUNCT
ejpam-283	350	1	_	_	PUNCT
ejpam-283	351	1	_	_	PUNCT
ejpam-283	352	1	_	_	PUNCT
ejpam-283	353	1	_	_	PUNCT
ejpam-283	354	1	_	_	PUNCT
ejpam-283	354	2	,	,	PUNCT
ejpam-283	354	3	rationality	rationality	NOUN
ejpam-283	354	4	,	,	PUNCT
ejpam-283	354	5	minimality	minimality	NOUN
ejpam-283	354	6	and	and	CCONJ
ejpam-283	354	7	uniqueness	uniqueness	NOUN
ejpam-283	354	8	of	of	ADP
ejpam-283	354	9	representation	representation	NOUN
ejpam-283	354	10	of	of	ADP
ejpam-283	354	11	matrix	matrix	NOUN
ejpam-283	354	12	formal	formal	ADJ
ejpam-283	354	13	power	power	NOUN
ejpam-283	354	14	series	series	PROPN
ejpam-283	354	15	,	,	PUNCT
ejpam-283	354	16	journal	journal	NOUN
ejpam-283	354	17	of	of	ADP
ejpam-283	354	18	computational	computational	ADJ
ejpam-283	354	19	and	and	CCONJ
ejpam-283	354	20	applied	applied	ADJ
ejpam-283	354	21	mathematics	mathematic	NOUN
ejpam-283	354	22	94	94	NUM
ejpam-283	354	23	:	:	PUNCT
ejpam-283	354	24	23	23	NUM
ejpam-283	354	25	-	-	SYM
ejpam-283	354	26	38	38	NUM
ejpam-283	354	27	(	(	PUNCT
ejpam-283	354	28	1998	1998	NUM
ejpam-283	354	29	)	)	PUNCT
ejpam-283	354	30	.	.	PUNCT
ejpam-283	355	1	[	[	X
ejpam-283	355	2	15	15	NUM
ejpam-283	355	3	]	]	X
ejpam-283	355	4	d.s	d.s	PROPN
ejpam-283	355	5	.	.	PROPN
ejpam-283	355	6	poskitt	poskitt	VERB
ejpam-283	355	7	,	,	PUNCT
ejpam-283	355	8	a	a	DET
ejpam-283	355	9	note	note	NOUN
ejpam-283	355	10	on	on	ADP
ejpam-283	355	11	the	the	DET
ejpam-283	355	12	specification	specification	NOUN
ejpam-283	355	13	and	and	CCONJ
ejpam-283	355	14	estimation	estimation	NOUN
ejpam-283	355	15	of	of	ADP
ejpam-283	355	16	armax	armax	NOUN
ejpam-283	355	17	systems	system	NOUN
ejpam-283	355	18	,	,	PUNCT
ejpam-283	355	19	journal	journal	NOUN
ejpam-283	355	20	of	of	ADP
ejpam-283	355	21	time	time	NOUN
ejpam-283	355	22	series	series	PROPN
ejpam-283	355	23	analysis	analysis	NOUN
ejpam-283	355	24	,	,	PUNCT
ejpam-283	355	25	26	26	NUM
ejpam-283	355	26	(	(	PUNCT
ejpam-283	355	27	2	2	NUM
ejpam-283	355	28	):	):	PUNCT
ejpam-283	355	29	157	157	NUM
ejpam-283	355	30	-	-	SYM
ejpam-283	355	31	183	183	NUM
ejpam-283	355	32	(	(	PUNCT
ejpam-283	355	33	2005	2005	NUM
ejpam-283	355	34	)	)	PUNCT
ejpam-283	355	35	.	.	PUNCT
ejpam-283	356	1	[	[	X
ejpam-283	356	2	16	16	NUM
ejpam-283	356	3	]	]	X
ejpam-283	356	4	g.c	g.c	PROPN
ejpam-283	356	5	.	.	PROPN
ejpam-283	356	6	reinsel	reinsel	NOUN
ejpam-283	356	7	,	,	PUNCT
ejpam-283	356	8	elements	element	NOUN
ejpam-283	356	9	of	of	ADP
ejpam-283	356	10	multivariate	multivariate	NOUN
ejpam-283	356	11	time	time	NOUN
ejpam-283	356	12	series	series	PROPN
ejpam-283	356	13	analysis	analysis	NOUN
ejpam-283	356	14	,	,	PUNCT
ejpam-283	356	15	springer	springer	NOUN
ejpam-283	356	16	-	-	PUNCT
ejpam-283	356	17	verlag	verlag	PROPN
ejpam-283	356	18	,	,	PUNCT
ejpam-283	356	19	new	new	PROPN
ejpam-283	356	20	york	york	PROPN
ejpam-283	356	21	,	,	PUNCT
ejpam-283	356	22	1997	1997	NUM
ejpam-283	356	23	.	.	PUNCT
ejpam-283	357	1	[	[	X
ejpam-283	357	2	17	17	NUM
ejpam-283	357	3	]	]	X
ejpam-283	357	4	g.c	g.c	PROPN
ejpam-283	357	5	.	.	PROPN
ejpam-283	357	6	tiao	tiao	PROPN
ejpam-283	357	7	and	and	CCONJ
ejpam-283	357	8	r.s	r.s	PROPN
ejpam-283	357	9	.	.	PROPN
ejpam-283	357	10	tsay	tsay	PROPN
ejpam-283	357	11	,	,	PUNCT
ejpam-283	357	12	model	model	NOUN
ejpam-283	357	13	specification	specification	NOUN
ejpam-283	357	14	in	in	ADP
ejpam-283	357	15	multivariate	multivariate	NOUN
ejpam-283	357	16	time	time	NOUN
ejpam-283	357	17	series	series	PROPN
ejpam-283	357	18	,	,	PUNCT
ejpam-283	357	19	journal	journal	NOUN
ejpam-283	357	20	of	of	ADP
ejpam-283	357	21	the	the	DET
ejpam-283	357	22	royal	royal	ADJ
ejpam-283	357	23	statistical	statistical	ADJ
ejpam-283	357	24	society	society	NOUN
ejpam-283	357	25	b	b	PROPN
ejpam-283	357	26	51	51	NUM
ejpam-283	357	27	(	(	PUNCT
ejpam-283	357	28	2	2	NUM
ejpam-283	357	29	):	):	PUNCT
ejpam-283	357	30	157	157	NUM
ejpam-283	357	31	-	-	SYM
ejpam-283	357	32	213	213	NUM
ejpam-283	357	33	(	(	PUNCT
ejpam-283	357	34	1989	1989	NUM
ejpam-283	357	35	)	)	PUNCT
ejpam-283	357	36	.	.	PUNCT
ejpam-283	358	1	[	[	X
ejpam-283	358	2	18	18	NUM
ejpam-283	358	3	]	]	X
ejpam-283	358	4	r.s	r.s	PROPN
ejpam-283	358	5	.	.	PROPN
ejpam-283	358	6	tsay	tsay	PROPN
ejpam-283	358	7	,	,	PUNCT
ejpam-283	358	8	model	model	NOUN
ejpam-283	358	9	identification	identification	NOUN
ejpam-283	358	10	in	in	ADP
ejpam-283	358	11	dynamic	dynamic	ADJ
ejpam-283	358	12	regression	regression	NOUN
ejpam-283	358	13	(	(	PUNCT
ejpam-283	358	14	distributed	distribute	VERB
ejpam-283	358	15	lag	lag	NOUN
ejpam-283	358	16	)	)	PUNCT
ejpam-283	358	17	models	model	NOUN
ejpam-283	358	18	,	,	PUNCT
ejpam-283	358	19	journal	journal	NOUN
ejpam-283	358	20	of	of	ADP
ejpam-283	358	21	business	business	PROPN
ejpam-283	358	22	&	&	CCONJ
ejpam-283	358	23	economic	economic	ADJ
ejpam-283	358	24	statistics	statistic	NOUN
ejpam-283	358	25	3	3	NUM
ejpam-283	358	26	(	(	PUNCT
ejpam-283	358	27	3	3	NUM
ejpam-283	358	28	):	):	PUNCT
ejpam-283	358	29	228	228	NUM
ejpam-283	358	30	-	-	SYM
ejpam-283	358	31	237	237	NUM
ejpam-283	358	32	(	(	PUNCT
ejpam-283	358	33	1985	1985	NUM
ejpam-283	358	34	)	)	PUNCT
ejpam-283	358	35	.	.	PUNCT
ejpam-283	359	1	[	[	X
ejpam-283	359	2	19	19	NUM
ejpam-283	359	3	]	]	PUNCT
ejpam-283	359	4	a.	a.	NOUN
ejpam-283	359	5	zellner	zellner	NOUN
ejpam-283	359	6	and	and	CCONJ
ejpam-283	359	7	f.	f.	PROPN
ejpam-283	359	8	palm	palm	PROPN
ejpam-283	359	9	,	,	PUNCT
ejpam-283	359	10	1974	1974	NUM
ejpam-283	359	11	.	.	PUNCT
ejpam-283	360	1	time	time	NOUN
ejpam-283	360	2	series	series	PROPN
ejpam-283	360	3	analysis	analysis	NOUN
ejpam-283	360	4	and	and	CCONJ
ejpam-283	360	5	simultaneous	simultaneous	ADJ
ejpam-283	360	6	equation	equation	NOUN
ejpam-283	360	7	econometric	econometric	ADJ
ejpam-283	360	8	models	model	NOUN
ejpam-283	360	9	,	,	PUNCT
ejpam-283	360	10	journal	journal	NOUN
ejpam-283	360	11	of	of	ADP
ejpam-283	360	12	econometrics	econometric	NOUN
ejpam-283	360	13	2	2	NUM
ejpam-283	360	14	:	:	SYM
ejpam-283	360	15	17	17	NUM
ejpam-283	360	16	-	-	SYM
ejpam-283	360	17	54	54	NUM
ejpam-283	360	18	(	(	PUNCT
ejpam-283	360	19	1974	1974	NUM
ejpam-283	360	20	)	)	PUNCT
ejpam-283	360	21	.	.	PUNCT