id	sid	tid	token	lemma	pos
ejpam-314	1	1	9_314_wu.dvi	9_314_wu.dvi	NUM
ejpam-314	1	2	european	european	ADJ
ejpam-314	1	3	journal	journal	NOUN
ejpam-314	1	4	of	of	ADP
ejpam-314	1	5	pure	pure	ADJ
ejpam-314	1	6	and	and	CCONJ
ejpam-314	1	7	applied	apply	VERB
ejpam-314	1	8	mathematics	mathematic	NOUN
ejpam-314	1	9	vol	vol	NOUN
ejpam-314	1	10	.	.	PROPN
ejpam-314	2	1	2	2	NUM
ejpam-314	2	2	,	,	PUNCT
ejpam-314	2	3	no	no	INTJ
ejpam-314	2	4	.	.	NOUN
ejpam-314	2	5	3	3	NUM
ejpam-314	2	6	,	,	PUNCT
ejpam-314	2	7	2009	2009	NUM
ejpam-314	2	8	,	,	PUNCT
ejpam-314	2	9	(	(	PUNCT
ejpam-314	2	10	448	448	NUM
ejpam-314	2	11	-	-	SYM
ejpam-314	2	12	461	461	NUM
ejpam-314	2	13	)	)	PUNCT
ejpam-314	2	14	issn	issn	PROPN
ejpam-314	2	15	1307	1307	NUM
ejpam-314	2	16	-	-	SYM
ejpam-314	2	17	5543	5543	NUM
ejpam-314	2	18	–	–	PUNCT
ejpam-314	2	19	www.ejpam.com	www.ejpam.com	X
ejpam-314	2	20	exponential	exponential	ADJ
ejpam-314	2	21	stability	stability	NOUN
ejpam-314	2	22	of	of	ADP
ejpam-314	2	23	almost	almost	ADV
ejpam-314	2	24	periodic	periodic	ADJ
ejpam-314	2	25	solution	solution	NOUN
ejpam-314	2	26	for	for	ADP
ejpam-314	2	27	shunting	shunt	VERB
ejpam-314	2	28	inhibitory	inhibitory	ADJ
ejpam-314	2	29	cellular	cellular	ADJ
ejpam-314	2	30	neural	neural	ADJ
ejpam-314	2	31	networks	network	NOUN
ejpam-314	2	32	with	with	ADP
ejpam-314	2	33	time	time	NOUN
ejpam-314	2	34	-	-	PUNCT
ejpam-314	2	35	varying	vary	VERB
ejpam-314	2	36	and	and	CCONJ
ejpam-314	2	37	distributed	distribute	VERB
ejpam-314	2	38	delays	delay	NOUN
ejpam-314	2	39	ailong	ailong	PROPN
ejpam-314	2	40	wu∗	wu∗	PROPN
ejpam-314	2	41	and	and	CCONJ
ejpam-314	2	42	chaojin	chaojin	VERB
ejpam-314	2	43	fu	fu	PROPN
ejpam-314	2	44	college	college	PROPN
ejpam-314	2	45	of	of	ADP
ejpam-314	2	46	mathematics	mathematic	NOUN
ejpam-314	2	47	and	and	CCONJ
ejpam-314	2	48	statistics	statistic	NOUN
ejpam-314	2	49	,	,	PUNCT
ejpam-314	2	50	hubei	hubei	PROPN
ejpam-314	2	51	normal	normal	ADJ
ejpam-314	2	52	university	university	NOUN
ejpam-314	2	53	,	,	PUNCT
ejpam-314	2	54	huangshi	huangshi	NOUN
ejpam-314	2	55	435002	435002	NUM
ejpam-314	2	56	,	,	PUNCT
ejpam-314	2	57	china	china	PROPN
ejpam-314	2	58	abstract	abstract	NOUN
ejpam-314	2	59	.	.	PUNCT
ejpam-314	3	1	in	in	ADP
ejpam-314	3	2	this	this	DET
ejpam-314	3	3	paper	paper	NOUN
ejpam-314	3	4	,	,	PUNCT
ejpam-314	3	5	shunting	shunt	VERB
ejpam-314	3	6	inhibitory	inhibitory	ADJ
ejpam-314	3	7	cellular	cellular	ADJ
ejpam-314	3	8	neural	neural	ADJ
ejpam-314	3	9	networks	network	NOUN
ejpam-314	3	10	(	(	PUNCT
ejpam-314	3	11	sicnns	sicnn	NOUN
ejpam-314	3	12	)	)	PUNCT
ejpam-314	3	13	with	with	ADP
ejpam-314	3	14	timevarying	timevarye	VERB
ejpam-314	3	15	and	and	CCONJ
ejpam-314	3	16	distributed	distribute	VERB
ejpam-314	3	17	delays	delay	NOUN
ejpam-314	3	18	are	be	AUX
ejpam-314	3	19	considered	consider	VERB
ejpam-314	3	20	.	.	PUNCT
ejpam-314	4	1	without	without	ADP
ejpam-314	4	2	assuming	assume	VERB
ejpam-314	4	3	the	the	DET
ejpam-314	4	4	global	global	ADJ
ejpam-314	4	5	lipschitz	lipschitz	NOUN
ejpam-314	4	6	conditions	condition	NOUN
ejpam-314	4	7	of	of	ADP
ejpam-314	4	8	activation	activation	NOUN
ejpam-314	4	9	functions	function	NOUN
ejpam-314	4	10	,	,	PUNCT
ejpam-314	4	11	some	some	DET
ejpam-314	4	12	new	new	ADJ
ejpam-314	4	13	sufficient	sufficient	ADJ
ejpam-314	4	14	conditions	condition	NOUN
ejpam-314	4	15	for	for	ADP
ejpam-314	4	16	the	the	DET
ejpam-314	4	17	existence	existence	NOUN
ejpam-314	4	18	and	and	CCONJ
ejpam-314	4	19	exponential	exponential	ADJ
ejpam-314	4	20	stability	stability	NOUN
ejpam-314	4	21	of	of	ADP
ejpam-314	4	22	the	the	DET
ejpam-314	4	23	almost	almost	ADV
ejpam-314	4	24	periodic	periodic	ADJ
ejpam-314	4	25	solutions	solution	NOUN
ejpam-314	4	26	are	be	AUX
ejpam-314	4	27	established	establish	VERB
ejpam-314	4	28	.	.	PUNCT
ejpam-314	5	1	finally	finally	ADV
ejpam-314	5	2	,	,	PUNCT
ejpam-314	5	3	a	a	DET
ejpam-314	5	4	numerical	numerical	ADJ
ejpam-314	5	5	example	example	NOUN
ejpam-314	5	6	is	be	AUX
ejpam-314	5	7	given	give	VERB
ejpam-314	5	8	to	to	PART
ejpam-314	5	9	demonstrate	demonstrate	VERB
ejpam-314	5	10	the	the	DET
ejpam-314	5	11	effectiveness	effectiveness	NOUN
ejpam-314	5	12	of	of	ADP
ejpam-314	5	13	the	the	DET
ejpam-314	5	14	obtained	obtain	VERB
ejpam-314	5	15	result	result	NOUN
ejpam-314	5	16	.	.	PUNCT
ejpam-314	6	1	2000	2000	NUM
ejpam-314	6	2	mathematics	mathematic	NOUN
ejpam-314	6	3	subject	subject	NOUN
ejpam-314	6	4	classifications	classification	NOUN
ejpam-314	6	5	:	:	PUNCT
ejpam-314	6	6	92b20	92b20	NUM
ejpam-314	6	7	;	;	PUNCT
ejpam-314	6	8	93d05	93d05	NUM
ejpam-314	6	9	key	key	ADJ
ejpam-314	6	10	words	word	NOUN
ejpam-314	6	11	and	and	CCONJ
ejpam-314	6	12	phrases	phrase	NOUN
ejpam-314	6	13	:	:	PUNCT
ejpam-314	6	14	almost	almost	ADV
ejpam-314	6	15	periodic	periodic	ADJ
ejpam-314	6	16	,	,	PUNCT
ejpam-314	6	17	shunting	shunt	VERB
ejpam-314	6	18	inhibitory	inhibitory	ADJ
ejpam-314	6	19	cellular	cellular	ADJ
ejpam-314	6	20	neural	neural	ADJ
ejpam-314	6	21	networks	network	NOUN
ejpam-314	6	22	,	,	PUNCT
ejpam-314	6	23	exponential	exponential	ADJ
ejpam-314	6	24	stability	stability	NOUN
ejpam-314	6	25	.	.	PUNCT
ejpam-314	7	1	1	1	X
ejpam-314	7	2	.	.	X
ejpam-314	7	3	introduction	introduction	NOUN
ejpam-314	7	4	recently	recently	ADV
ejpam-314	7	5	,	,	PUNCT
ejpam-314	7	6	the	the	DET
ejpam-314	7	7	dynamical	dynamical	ADJ
ejpam-314	7	8	behaviors	behavior	NOUN
ejpam-314	7	9	of	of	ADP
ejpam-314	7	10	almost	almost	ADV
ejpam-314	7	11	periodic	periodic	ADJ
ejpam-314	7	12	solutions	solution	NOUN
ejpam-314	7	13	for	for	ADP
ejpam-314	7	14	shunting	shunt	VERB
ejpam-314	7	15	inhibitory	inhibitory	ADJ
ejpam-314	7	16	cellular	cellular	ADJ
ejpam-314	7	17	neural	neural	ADJ
ejpam-314	7	18	networks	network	NOUN
ejpam-314	7	19	(	(	PUNCT
ejpam-314	7	20	sicnns	sicnn	NOUN
ejpam-314	7	21	)	)	PUNCT
ejpam-314	7	22	have	have	AUX
ejpam-314	7	23	been	be	AUX
ejpam-314	7	24	extensively	extensively	ADV
ejpam-314	7	25	studied	study	VERB
ejpam-314	7	26	(	(	PUNCT
ejpam-314	7	27	see	see	VERB
ejpam-314	7	28	[	[	X
ejpam-314	7	29	1−	1−	NUM
ejpam-314	7	30	∗corresponding	∗corresponde	VERB
ejpam-314	7	31	author	author	NOUN
ejpam-314	7	32	.	.	PUNCT
ejpam-314	8	1	email	email	NOUN
ejpam-314	8	2	addresses	address	NOUN
ejpam-314	8	3	:	:	PUNCT
ejpam-314	8	4	alwu83	alwu83	NOUN
ejpam-314	8	5	�	�	NOUN
ejpam-314	8	6	gmail	gmail	NOUN
ejpam-314	8	7	.	.	PUNCT
ejpam-314	9	1	om	om	PROPN
ejpam-314	9	2	(	(	PUNCT
ejpam-314	9	3	a.	a.	PROPN
ejpam-314	9	4	wu	wu	PROPN
ejpam-314	9	5	)	)	PUNCT
ejpam-314	9	6	,	,	PUNCT
ejpam-314	9	7	haojinfu	haojinfu	PROPN
ejpam-314	9	8	�	�	PROPN
ejpam-314	9	9	126	126	NUM
ejpam-314	9	10	.	.	PUNCT
ejpam-314	10	1	om	om	PROPN
ejpam-314	10	2	(	(	PUNCT
ejpam-314	10	3	c.	c.	PROPN
ejpam-314	10	4	fu	fu	PROPN
ejpam-314	10	5	)	)	PUNCT
ejpam-314	10	6	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-314	11	1	448	448	NUM
ejpam-314	12	1	c	c	NOUN
ejpam-314	12	2	©	©	PROPN
ejpam-314	12	3	2009	2009	NUM
ejpam-314	12	4	ejpam	ejpam	NOUN
ejpam-314	12	5	all	all	DET
ejpam-314	12	6	rights	right	NOUN
ejpam-314	12	7	reserved	reserve	VERB
ejpam-314	12	8	.	.	PUNCT
ejpam-314	13	1	a.	a.	PROPN
ejpam-314	13	2	wu	wu	PROPN
ejpam-314	13	3	and	and	CCONJ
ejpam-314	13	4	c.	c.	PROPN
ejpam-314	13	5	fu	fu	PROPN
ejpam-314	13	6	/	/	SYM
ejpam-314	13	7	eur	eur	PROPN
ejpam-314	13	8	.	.	PUNCT
ejpam-314	14	1	j.	j.	PROPN
ejpam-314	14	2	pure	pure	PROPN
ejpam-314	14	3	appl	appl	PROPN
ejpam-314	14	4	.	.	PROPN
ejpam-314	14	5	math	math	PROPN
ejpam-314	14	6	,	,	PUNCT
ejpam-314	14	7	2	2	NUM
ejpam-314	14	8	(	(	PUNCT
ejpam-314	14	9	2009	2009	NUM
ejpam-314	14	10	)	)	PUNCT
ejpam-314	14	11	,	,	PUNCT
ejpam-314	14	12	(	(	PUNCT
ejpam-314	14	13	448	448	NUM
ejpam-314	14	14	-	-	SYM
ejpam-314	14	15	461	461	NUM
ejpam-314	14	16	)	)	PUNCT
ejpam-314	14	17	449	449	NUM
ejpam-314	14	18	11	11	NUM
ejpam-314	14	19	]	]	PUNCT
ejpam-314	14	20	)	)	PUNCT
ejpam-314	14	21	,	,	PUNCT
ejpam-314	14	22	due	due	ADP
ejpam-314	14	23	to	to	ADP
ejpam-314	14	24	sicnns	sicnn	NOUN
ejpam-314	14	25	have	have	AUX
ejpam-314	14	26	been	be	AUX
ejpam-314	14	27	extensively	extensively	ADV
ejpam-314	14	28	applied	apply	VERB
ejpam-314	14	29	in	in	ADP
ejpam-314	14	30	psychophysics	psychophysic	NOUN
ejpam-314	14	31	,	,	PUNCT
ejpam-314	14	32	speech	speech	NOUN
ejpam-314	14	33	,	,	PUNCT
ejpam-314	14	34	perception	perception	NOUN
ejpam-314	14	35	,	,	PUNCT
ejpam-314	14	36	robotics	robotic	NOUN
ejpam-314	14	37	,	,	PUNCT
ejpam-314	14	38	adaptive	adaptive	ADJ
ejpam-314	14	39	pattern	pattern	NOUN
ejpam-314	14	40	recognition	recognition	NOUN
ejpam-314	14	41	,	,	PUNCT
ejpam-314	14	42	vision	vision	NOUN
ejpam-314	14	43	,	,	PUNCT
ejpam-314	14	44	and	and	CCONJ
ejpam-314	14	45	image	image	NOUN
ejpam-314	14	46	processing	processing	NOUN
ejpam-314	14	47	.	.	PUNCT
ejpam-314	15	1	many	many	ADJ
ejpam-314	15	2	important	important	ADJ
ejpam-314	15	3	results	result	NOUN
ejpam-314	15	4	have	have	AUX
ejpam-314	15	5	been	be	AUX
ejpam-314	15	6	established	establish	VERB
ejpam-314	15	7	and	and	CCONJ
ejpam-314	15	8	successfully	successfully	ADV
ejpam-314	15	9	applied	apply	VERB
ejpam-314	15	10	to	to	PART
ejpam-314	15	11	signal	signal	VERB
ejpam-314	15	12	processing	processing	NOUN
ejpam-314	15	13	,	,	PUNCT
ejpam-314	15	14	pattern	pattern	NOUN
ejpam-314	15	15	recognition	recognition	NOUN
ejpam-314	15	16	,	,	PUNCT
ejpam-314	15	17	associative	associative	ADJ
ejpam-314	15	18	memories	memory	NOUN
ejpam-314	15	19	,	,	PUNCT
ejpam-314	15	20	and	and	CCONJ
ejpam-314	15	21	so	so	ADV
ejpam-314	15	22	on	on	ADV
ejpam-314	15	23	.	.	PUNCT
ejpam-314	16	1	however	however	ADV
ejpam-314	16	2	,	,	PUNCT
ejpam-314	16	3	in	in	ADP
ejpam-314	16	4	the	the	DET
ejpam-314	16	5	existing	exist	VERB
ejpam-314	16	6	literatures	literature	NOUN
ejpam-314	16	7	(	(	PUNCT
ejpam-314	16	8	see	see	VERB
ejpam-314	16	9	[	[	X
ejpam-314	16	10	1−	1−	NUM
ejpam-314	16	11	3	3	NUM
ejpam-314	16	12	,	,	PUNCT
ejpam-314	16	13	5−	5−	NUM
ejpam-314	16	14	9	9	NUM
ejpam-314	16	15	]	]	PUNCT
ejpam-314	16	16	)	)	PUNCT
ejpam-314	16	17	,	,	PUNCT
ejpam-314	16	18	almost	almost	ADV
ejpam-314	16	19	all	all	PRON
ejpam-314	16	20	results	result	NOUN
ejpam-314	16	21	on	on	ADP
ejpam-314	16	22	the	the	DET
ejpam-314	16	23	stability	stability	NOUN
ejpam-314	16	24	of	of	ADP
ejpam-314	16	25	almost	almost	ADV
ejpam-314	16	26	periodic	periodic	ADJ
ejpam-314	16	27	solutions	solution	NOUN
ejpam-314	16	28	for	for	ADP
ejpam-314	16	29	sicnns	sicnn	NOUN
ejpam-314	16	30	are	be	AUX
ejpam-314	16	31	obtained	obtain	VERB
ejpam-314	16	32	under	under	ADP
ejpam-314	16	33	global	global	ADJ
ejpam-314	16	34	lipschitz	lipschitz	PROPN
ejpam-314	16	35	neuron	neuron	NOUN
ejpam-314	16	36	activations	activation	NOUN
ejpam-314	16	37	.	.	PUNCT
ejpam-314	17	1	when	when	SCONJ
ejpam-314	17	2	neuron	neuron	NOUN
ejpam-314	17	3	activation	activation	NOUN
ejpam-314	17	4	functions	function	NOUN
ejpam-314	17	5	do	do	AUX
ejpam-314	17	6	not	not	PART
ejpam-314	17	7	satisfy	satisfy	VERB
ejpam-314	17	8	global	global	ADJ
ejpam-314	17	9	lipschitz	lipschitz	NOUN
ejpam-314	17	10	conditions	condition	NOUN
ejpam-314	17	11	,	,	PUNCT
ejpam-314	17	12	people	people	NOUN
ejpam-314	17	13	want	want	VERB
ejpam-314	17	14	to	to	PART
ejpam-314	17	15	know	know	VERB
ejpam-314	17	16	whether	whether	SCONJ
ejpam-314	17	17	the	the	DET
ejpam-314	17	18	sicnns	sicnn	NOUN
ejpam-314	17	19	is	be	AUX
ejpam-314	17	20	stable	stable	ADJ
ejpam-314	17	21	.	.	PUNCT
ejpam-314	18	1	in	in	ADP
ejpam-314	18	2	practical	practical	ADJ
ejpam-314	18	3	engineering	engineering	NOUN
ejpam-314	18	4	applications	application	NOUN
ejpam-314	18	5	,	,	PUNCT
ejpam-314	18	6	people	people	NOUN
ejpam-314	18	7	also	also	ADV
ejpam-314	18	8	need	need	VERB
ejpam-314	18	9	to	to	PART
ejpam-314	18	10	present	present	VERB
ejpam-314	18	11	new	new	ADJ
ejpam-314	18	12	neural	neural	ADJ
ejpam-314	18	13	networks	network	NOUN
ejpam-314	18	14	.	.	PUNCT
ejpam-314	19	1	therefore	therefore	ADV
ejpam-314	19	2	,	,	PUNCT
ejpam-314	19	3	developing	develop	VERB
ejpam-314	19	4	a	a	DET
ejpam-314	19	5	new	new	ADJ
ejpam-314	19	6	class	class	NOUN
ejpam-314	19	7	of	of	ADP
ejpam-314	19	8	sicnns	sicnn	NOUN
ejpam-314	19	9	without	without	ADP
ejpam-314	19	10	global	global	ADJ
ejpam-314	19	11	lipschitz	lipschitz	PROPN
ejpam-314	19	12	neuron	neuron	NOUN
ejpam-314	19	13	activation	activation	NOUN
ejpam-314	19	14	functions	function	NOUN
ejpam-314	19	15	and	and	CCONJ
ejpam-314	19	16	giving	give	VERB
ejpam-314	19	17	the	the	DET
ejpam-314	19	18	conditions	condition	NOUN
ejpam-314	19	19	of	of	ADP
ejpam-314	19	20	the	the	DET
ejpam-314	19	21	stability	stability	NOUN
ejpam-314	19	22	of	of	ADP
ejpam-314	19	23	new	new	ADJ
ejpam-314	19	24	sicnns	sicnn	NOUN
ejpam-314	19	25	are	be	AUX
ejpam-314	19	26	very	very	ADV
ejpam-314	19	27	interesting	interesting	ADJ
ejpam-314	19	28	and	and	CCONJ
ejpam-314	19	29	valuable	valuable	ADJ
ejpam-314	19	30	.	.	PUNCT
ejpam-314	20	1	consider	consider	VERB
ejpam-314	20	2	the	the	DET
ejpam-314	20	3	following	follow	VERB
ejpam-314	20	4	sicnns	sicnn	NOUN
ejpam-314	20	5	with	with	ADP
ejpam-314	20	6	time	time	NOUN
ejpam-314	20	7	-	-	PUNCT
ejpam-314	20	8	varying	vary	VERB
ejpam-314	20	9	and	and	CCONJ
ejpam-314	20	10	distributed	distributed	ADJ
ejpam-314	20	11	delays	delay	NOUN
ejpam-314	20	12	:	:	PUNCT
ejpam-314	20	13	x	x	X
ejpam-314	21	1	′	′	NUM
ejpam-314	22	1	i	i	PRON
ejpam-314	22	2	j	j	PROPN
ejpam-314	22	3	(	(	PUNCT
ejpam-314	22	4	t	t	PROPN
ejpam-314	22	5	)	)	PUNCT
ejpam-314	23	1	=	=	NOUN
ejpam-314	23	2	−	−	PROPN
ejpam-314	23	3	ai	ai	VERB
ejpam-314	23	4	j(t)x	j(t)x	PROPN
ejpam-314	24	1	i	i	PRON
ejpam-314	24	2	j(t)−	j(t)−	PROPN
ejpam-314	24	3	∑	∑	PUNCT
ejpam-314	24	4	ckl∈nr	ckl∈nr	X
ejpam-314	24	5	(	(	PUNCT
ejpam-314	24	6	i	i	PROPN
ejpam-314	24	7	,	,	PUNCT
ejpam-314	24	8	j	j	PROPN
ejpam-314	24	9	)	)	PUNCT
ejpam-314	24	10	c	c	PROPN
ejpam-314	24	11	kl	kl	INTJ
ejpam-314	25	1	i	i	PRON
ejpam-314	25	2	j	j	PROPN
ejpam-314	25	3	(	(	PUNCT
ejpam-314	25	4	t	t	PROPN
ejpam-314	25	5	)	)	PUNCT
ejpam-314	25	6	f	f	PROPN
ejpam-314	25	7	(	(	PUNCT
ejpam-314	25	8	xkl(t	xkl(t	PROPN
ejpam-314	25	9	−τ(t)))x	−τ(t)))x	PROPN
ejpam-314	25	10	i	i	PRON
ejpam-314	25	11	j(t	j(t	PROPN
ejpam-314	25	12	)	)	PUNCT
ejpam-314	25	13	−	−	PROPN
ejpam-314	25	14	∑	∑	PUNCT
ejpam-314	25	15	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	25	16	,	,	PUNCT
ejpam-314	25	17	j	j	NOUN
ejpam-314	25	18	)	)	PUNCT
ejpam-314	25	19	bkl	bkl	NOUN
ejpam-314	25	20	i	i	PRON
ejpam-314	25	21	j	j	PROPN
ejpam-314	25	22	(	(	PUNCT
ejpam-314	25	23	t	t	PROPN
ejpam-314	25	24	)	)	PUNCT
ejpam-314	25	25	∫	∫	PROPN
ejpam-314	26	1	∞	∞	PROPN
ejpam-314	26	2	0	0	NUM
ejpam-314	27	1	ki	ki	PROPN
ejpam-314	27	2	j(u)g(xkl(t	j(u)g(xkl(t	PROPN
ejpam-314	27	3	−	−	PROPN
ejpam-314	27	4	u))dux	u))dux	PROPN
ejpam-314	27	5	i	i	PRON
ejpam-314	27	6	j(t	j(t	PROPN
ejpam-314	27	7	)	)	PUNCT
ejpam-314	28	1	+	+	CCONJ
ejpam-314	28	2	li	li	PROPN
ejpam-314	28	3	j(t	j(t	PROPN
ejpam-314	28	4	)	)	PUNCT
ejpam-314	28	5	,	,	PUNCT
ejpam-314	28	6	(	(	PUNCT
ejpam-314	28	7	1.1	1.1	NUM
ejpam-314	28	8	)	)	PUNCT
ejpam-314	29	1	where	where	SCONJ
ejpam-314	29	2	i	i	PRON
ejpam-314	29	3	=	=	NOUN
ejpam-314	29	4	1	1	NUM
ejpam-314	29	5	,	,	PUNCT
ejpam-314	29	6	·	·	PUNCT
ejpam-314	29	7	·	·	PUNCT
ejpam-314	29	8	·	·	PUNCT
ejpam-314	29	9	,	,	PUNCT
ejpam-314	29	10	m	m	PROPN
ejpam-314	29	11	,	,	PUNCT
ejpam-314	29	12	j	j	PROPN
ejpam-314	29	13	=	=	SYM
ejpam-314	29	14	1	1	NUM
ejpam-314	29	15	,	,	PUNCT
ejpam-314	29	16	·	·	PUNCT
ejpam-314	29	17	·	·	PUNCT
ejpam-314	29	18	·	·	PUNCT
ejpam-314	29	19	,	,	PUNCT
ejpam-314	29	20	n	n	CCONJ
ejpam-314	29	21	,	,	PUNCT
ejpam-314	29	22	ci	ci	PROPN
ejpam-314	29	23	j	j	PROPN
ejpam-314	29	24	is	be	AUX
ejpam-314	29	25	the	the	DET
ejpam-314	29	26	cell	cell	NOUN
ejpam-314	29	27	at	at	ADP
ejpam-314	29	28	the	the	DET
ejpam-314	29	29	(	(	PUNCT
ejpam-314	29	30	i	i	PROPN
ejpam-314	29	31	,	,	PUNCT
ejpam-314	29	32	j	j	PROPN
ejpam-314	29	33	)	)	PUNCT
ejpam-314	29	34	position	position	NOUN
ejpam-314	29	35	of	of	ADP
ejpam-314	29	36	the	the	DET
ejpam-314	29	37	lattice	lattice	NOUN
ejpam-314	29	38	,	,	PUNCT
ejpam-314	29	39	the	the	DET
ejpam-314	29	40	r	r	NOUN
ejpam-314	29	41	-	-	PUNCT
ejpam-314	29	42	neighborhood	neighborhood	NOUN
ejpam-314	29	43	nr(i	nr(i	NOUN
ejpam-314	29	44	,	,	PUNCT
ejpam-314	29	45	j	j	PROPN
ejpam-314	29	46	)	)	PUNCT
ejpam-314	29	47	of	of	ADP
ejpam-314	29	48	ci	ci	PROPN
ejpam-314	29	49	j	j	PROPN
ejpam-314	29	50	is	be	AUX
ejpam-314	29	51	nr(i	nr(i	NOUN
ejpam-314	29	52	,	,	PUNCT
ejpam-314	29	53	j	j	NOUN
ejpam-314	29	54	)	)	PUNCT
ejpam-314	30	1	=	=	SYM
ejpam-314	30	2	¦	¦	PROPN
ejpam-314	30	3	ckl	ckl	PROPN
ejpam-314	30	4	:	:	PUNCT
ejpam-314	30	5	max(|k−	max(|k−	PROPN
ejpam-314	30	6	i|	i|	PROPN
ejpam-314	30	7	,	,	PUNCT
ejpam-314	30	8	�	�	PROPN
ejpam-314	30	9	�	�	PROPN
ejpam-314	30	10	l	l	NOUN
ejpam-314	30	11	−	−	PROPN
ejpam-314	30	12	j	j	PROPN
ejpam-314	30	13	�	�	PROPN
ejpam-314	30	14	�	�	PROPN
ejpam-314	30	15	)	)	PUNCT
ejpam-314	30	16	≤	≤	NOUN
ejpam-314	30	17	r	r	NOUN
ejpam-314	30	18	,	,	PUNCT
ejpam-314	30	19	1≤	1≤	NOUN
ejpam-314	30	20	k	k	PROPN
ejpam-314	30	21	≤	≤	PROPN
ejpam-314	30	22	m	m	PROPN
ejpam-314	30	23	,	,	PUNCT
ejpam-314	30	24	1≤	1≤	NUM
ejpam-314	30	25	l	l	NOUN
ejpam-314	30	26	≤	≤	NOUN
ejpam-314	31	1	n	n	CCONJ
ejpam-314	31	2	©	©	NOUN
ejpam-314	31	3	,	,	PUNCT
ejpam-314	31	4	nq(i	nq(i	ADV
ejpam-314	31	5	,	,	PUNCT
ejpam-314	31	6	j	j	NOUN
ejpam-314	31	7	)	)	PUNCT
ejpam-314	31	8	is	be	AUX
ejpam-314	31	9	similarly	similarly	ADV
ejpam-314	31	10	specified	specify	VERB
ejpam-314	31	11	.	.	PUNCT
ejpam-314	32	1	x	x	PUNCT
ejpam-314	33	1	i	i	PRON
ejpam-314	33	2	j	j	PROPN
ejpam-314	33	3	is	be	AUX
ejpam-314	33	4	the	the	DET
ejpam-314	33	5	activity	activity	NOUN
ejpam-314	33	6	of	of	ADP
ejpam-314	33	7	the	the	DET
ejpam-314	33	8	cell	cell	NOUN
ejpam-314	33	9	ci	ci	PROPN
ejpam-314	33	10	j	j	PROPN
ejpam-314	33	11	,	,	PUNCT
ejpam-314	33	12	li	li	PROPN
ejpam-314	33	13	j(t	j(t	PROPN
ejpam-314	33	14	)	)	PUNCT
ejpam-314	33	15	is	be	AUX
ejpam-314	33	16	the	the	DET
ejpam-314	33	17	external	external	ADJ
ejpam-314	33	18	input	input	NOUN
ejpam-314	33	19	to	to	ADP
ejpam-314	33	20	ci	ci	PROPN
ejpam-314	33	21	j	j	PROPN
ejpam-314	33	22	,	,	PUNCT
ejpam-314	33	23	ai	ai	VERB
ejpam-314	33	24	j(t	j(t	PROPN
ejpam-314	33	25	)	)	PUNCT
ejpam-314	33	26	>	>	X
ejpam-314	33	27	0	0	PUNCT
ejpam-314	33	28	is	be	AUX
ejpam-314	33	29	the	the	DET
ejpam-314	33	30	passive	passive	ADJ
ejpam-314	33	31	decay	decay	NOUN
ejpam-314	33	32	rate	rate	NOUN
ejpam-314	33	33	of	of	ADP
ejpam-314	33	34	the	the	DET
ejpam-314	33	35	cell	cell	NOUN
ejpam-314	33	36	activity	activity	NOUN
ejpam-314	33	37	,	,	PUNCT
ejpam-314	33	38	c	c	NOUN
ejpam-314	33	39	kl	kl	INTJ
ejpam-314	34	1	i	i	PRON
ejpam-314	34	2	j	j	PROPN
ejpam-314	34	3	(	(	PUNCT
ejpam-314	34	4	t	t	PROPN
ejpam-314	34	5	)	)	PUNCT
ejpam-314	34	6	≥	≥	NOUN
ejpam-314	34	7	0	0	NUM
ejpam-314	34	8	and	and	CCONJ
ejpam-314	34	9	bkl	bkl	NOUN
ejpam-314	34	10	i	i	PRON
ejpam-314	34	11	j	j	PROPN
ejpam-314	34	12	(	(	PUNCT
ejpam-314	34	13	t	t	PROPN
ejpam-314	34	14	)	)	PUNCT
ejpam-314	34	15	≥	≥	X
ejpam-314	34	16	0	0	NUM
ejpam-314	34	17	are	be	AUX
ejpam-314	34	18	the	the	DET
ejpam-314	34	19	connections	connection	NOUN
ejpam-314	34	20	or	or	CCONJ
ejpam-314	34	21	coupling	couple	VERB
ejpam-314	34	22	strengths	strength	NOUN
ejpam-314	34	23	of	of	ADP
ejpam-314	34	24	postsynaptic	postsynaptic	ADJ
ejpam-314	34	25	activity	activity	NOUN
ejpam-314	34	26	of	of	ADP
ejpam-314	34	27	the	the	DET
ejpam-314	34	28	cells	cell	NOUN
ejpam-314	34	29	in	in	ADP
ejpam-314	34	30	nr(i	nr(i	PROPN
ejpam-314	34	31	,	,	PUNCT
ejpam-314	34	32	j	j	NOUN
ejpam-314	34	33	)	)	PUNCT
ejpam-314	34	34	and	and	CCONJ
ejpam-314	34	35	nq(i	nq(i	ADV
ejpam-314	34	36	,	,	PUNCT
ejpam-314	34	37	j	j	NOUN
ejpam-314	34	38	)	)	PUNCT
ejpam-314	34	39	transmitted	transmit	VERB
ejpam-314	34	40	to	to	ADP
ejpam-314	34	41	the	the	DET
ejpam-314	34	42	cell	cell	NOUN
ejpam-314	34	43	ci	ci	PROPN
ejpam-314	34	44	j	j	PROPN
ejpam-314	34	45	,	,	PUNCT
ejpam-314	34	46	respectively	respectively	ADV
ejpam-314	34	47	.	.	PUNCT
ejpam-314	35	1	the	the	DET
ejpam-314	35	2	activity	activity	NOUN
ejpam-314	35	3	functions	function	NOUN
ejpam-314	35	4	f	f	X
ejpam-314	35	5	(	(	PUNCT
ejpam-314	35	6	xkl	xkl	PROPN
ejpam-314	35	7	)	)	PUNCT
ejpam-314	35	8	and	and	CCONJ
ejpam-314	35	9	g(xkl	g(xkl	PROPN
ejpam-314	35	10	)	)	PUNCT
ejpam-314	35	11	are	be	AUX
ejpam-314	35	12	continuous	continuous	ADJ
ejpam-314	35	13	functions	function	NOUN
ejpam-314	35	14	representing	represent	VERB
ejpam-314	35	15	the	the	DET
ejpam-314	35	16	output	output	NOUN
ejpam-314	35	17	or	or	CCONJ
ejpam-314	35	18	firing	firing	NOUN
ejpam-314	35	19	rate	rate	NOUN
ejpam-314	35	20	of	of	ADP
ejpam-314	35	21	cell	cell	NOUN
ejpam-314	35	22	ckl	ckl	PROPN
ejpam-314	35	23	,	,	PUNCT
ejpam-314	35	24	and	and	CCONJ
ejpam-314	35	25	τ(t)≥	τ(t)≥	PROPN
ejpam-314	35	26	0	0	NUM
ejpam-314	35	27	is	be	AUX
ejpam-314	35	28	the	the	DET
ejpam-314	35	29	transmission	transmission	NOUN
ejpam-314	35	30	delay	delay	NOUN
ejpam-314	35	31	.	.	PUNCT
ejpam-314	36	1	throughout	throughout	ADP
ejpam-314	36	2	this	this	DET
ejpam-314	36	3	paper	paper	NOUN
ejpam-314	36	4	,	,	PUNCT
ejpam-314	36	5	we	we	PRON
ejpam-314	36	6	will	will	AUX
ejpam-314	36	7	assume	assume	VERB
ejpam-314	36	8	that	that	SCONJ
ejpam-314	36	9	τ(t	τ(t	ADP
ejpam-314	36	10	)	)	PUNCT
ejpam-314	36	11	:	:	PUNCT
ejpam-314	37	1	r	r	NOUN
ejpam-314	37	2	→	→	SYM
ejpam-314	37	3	r	r	NOUN
ejpam-314	37	4	is	be	AUX
ejpam-314	37	5	an	an	DET
ejpam-314	37	6	almost	almost	ADV
ejpam-314	37	7	periodic	periodic	ADJ
ejpam-314	37	8	function	function	NOUN
ejpam-314	37	9	,	,	PUNCT
ejpam-314	37	10	and	and	CCONJ
ejpam-314	37	11	0≤	0≤	NUM
ejpam-314	37	12	τ(t)≤	τ(t)≤	NOUN
ejpam-314	37	13	τ	τ	NOUN
ejpam-314	37	14	,	,	PUNCT
ejpam-314	37	15	where	where	SCONJ
ejpam-314	37	16	τ≥	τ≥	X
ejpam-314	37	17	0	0	NUM
ejpam-314	37	18	is	be	AUX
ejpam-314	37	19	a	a	DET
ejpam-314	37	20	constant	constant	ADJ
ejpam-314	37	21	.	.	PUNCT
ejpam-314	38	1	a.	a.	PROPN
ejpam-314	38	2	wu	wu	PROPN
ejpam-314	38	3	and	and	CCONJ
ejpam-314	38	4	c.	c.	PROPN
ejpam-314	38	5	fu	fu	PROPN
ejpam-314	38	6	/	/	SYM
ejpam-314	38	7	eur	eur	PROPN
ejpam-314	38	8	.	.	PUNCT
ejpam-314	39	1	j.	j.	PROPN
ejpam-314	39	2	pure	pure	PROPN
ejpam-314	39	3	appl	appl	PROPN
ejpam-314	39	4	.	.	PROPN
ejpam-314	39	5	math	math	PROPN
ejpam-314	39	6	,	,	PUNCT
ejpam-314	39	7	2	2	NUM
ejpam-314	39	8	(	(	PUNCT
ejpam-314	39	9	2009	2009	NUM
ejpam-314	39	10	)	)	PUNCT
ejpam-314	39	11	,	,	PUNCT
ejpam-314	39	12	(	(	PUNCT
ejpam-314	39	13	448	448	NUM
ejpam-314	39	14	-	-	SYM
ejpam-314	39	15	461	461	NUM
ejpam-314	39	16	)	)	PUNCT
ejpam-314	39	17	450	450	NUM
ejpam-314	39	18	set	set	VERB
ejpam-314	39	19	¦	¦	NOUN
ejpam-314	39	20	x	x	PUNCT
ejpam-314	39	21	i	i	PRON
ejpam-314	39	22	j(t	j(t	PROPN
ejpam-314	39	23	)	)	PUNCT
ejpam-314	40	1	©	©	PROPN
ejpam-314	40	2	=	=	SYM
ejpam-314	40	3	(	(	PUNCT
ejpam-314	40	4	x11(t	x11(t	PROPN
ejpam-314	40	5	)	)	PUNCT
ejpam-314	40	6	,	,	PUNCT
ejpam-314	40	7	·	·	PUNCT
ejpam-314	40	8	·	·	PUNCT
ejpam-314	40	9	·	·	PUNCT
ejpam-314	40	10	,	,	PUNCT
ejpam-314	40	11	x1n(t	x1n(t	PROPN
ejpam-314	40	12	)	)	PUNCT
ejpam-314	40	13	,	,	PUNCT
ejpam-314	40	14	·	·	PUNCT
ejpam-314	40	15	·	·	PUNCT
ejpam-314	40	16	·	·	PUNCT
ejpam-314	40	17	,	,	PUNCT
ejpam-314	40	18	xm1(t	xm1(t	PROPN
ejpam-314	40	19	)	)	PUNCT
ejpam-314	40	20	,	,	PUNCT
ejpam-314	40	21	·	·	PUNCT
ejpam-314	40	22	·	·	PUNCT
ejpam-314	40	23	·	·	PUNCT
ejpam-314	40	24	,	,	PUNCT
ejpam-314	40	25	xmn(t	xmn(t	PROPN
ejpam-314	40	26	)	)	PUNCT
ejpam-314	40	27	)	)	PUNCT
ejpam-314	40	28	,	,	PUNCT
ejpam-314	40	29	for	for	ADP
ejpam-314	40	30	∀x	∀x	X
ejpam-314	40	31	=	=	SYM
ejpam-314	40	32	¦	¦	X
ejpam-314	40	33	x	x	PUNCT
ejpam-314	40	34	i	i	PRON
ejpam-314	40	35	j(t	j(t	PROPN
ejpam-314	40	36	)	)	PUNCT
ejpam-314	40	37	©	©	PROPN
ejpam-314	40	38	∈	∈	PROPN
ejpam-314	40	39	rm×n	rm×n	NOUN
ejpam-314	40	40	,	,	PUNCT
ejpam-314	40	41	we	we	PRON
ejpam-314	40	42	define	define	VERB
ejpam-314	40	43	the	the	DET
ejpam-314	40	44	norm	norm	NOUN
ejpam-314	40	45	‖x‖=max	‖x‖=max	NOUN
ejpam-314	41	1	(	(	PUNCT
ejpam-314	41	2	i	i	PROPN
ejpam-314	41	3	,	,	PUNCT
ejpam-314	41	4	j	j	PROPN
ejpam-314	41	5	)	)	PUNCT
ejpam-314	41	6	¦	¦	PROPN
ejpam-314	41	7	�	�	PROPN
ejpam-314	41	8	�	�	PROPN
ejpam-314	41	9	x	x	PROPN
ejpam-314	41	10	i	i	PROPN
ejpam-314	41	11	j(t	j(t	PROPN
ejpam-314	41	12	)	)	PUNCT
ejpam-314	41	13	�	�	PROPN
ejpam-314	41	14	�	�	PROPN
ejpam-314	41	15	©	©	PROPN
ejpam-314	41	16	.	.	PUNCT
ejpam-314	42	1	set	set	PROPN
ejpam-314	42	2	b	b	PROPN
ejpam-314	42	3	=	=	SYM
ejpam-314	42	4	¦	¦	PROPN
ejpam-314	42	5	ϕ	ϕ	PROPN
ejpam-314	42	6	|	|	ADV
ejpam-314	42	7	ϕ	ϕ	X
ejpam-314	42	8	=	=	X
ejpam-314	42	9	¦	¦	X
ejpam-314	42	10	ϕi	ϕi	ADP
ejpam-314	42	11	j(t	j(t	PROPN
ejpam-314	42	12	)	)	PUNCT
ejpam-314	43	1	©	©	PROPN
ejpam-314	43	2	=	=	SYM
ejpam-314	43	3	(	(	PUNCT
ejpam-314	43	4	ϕ11(t	ϕ11(t	NUM
ejpam-314	43	5	)	)	PUNCT
ejpam-314	43	6	,	,	PUNCT
ejpam-314	43	7	·	·	PUNCT
ejpam-314	43	8	·	·	PUNCT
ejpam-314	43	9	·	·	PUNCT
ejpam-314	43	10	,	,	PUNCT
ejpam-314	43	11	ϕ1n(t	ϕ1n(t	PROPN
ejpam-314	43	12	)	)	PUNCT
ejpam-314	43	13	,	,	PUNCT
ejpam-314	43	14	·	·	PUNCT
ejpam-314	43	15	·	·	PUNCT
ejpam-314	43	16	·	·	PUNCT
ejpam-314	43	17	,	,	PUNCT
ejpam-314	43	18	ϕm1(t	ϕm1(t	NUM
ejpam-314	43	19	)	)	PUNCT
ejpam-314	43	20	,	,	PUNCT
ejpam-314	43	21	·	·	PUNCT
ejpam-314	43	22	·	·	PUNCT
ejpam-314	43	23	·	·	PUNCT
ejpam-314	43	24	,	,	PUNCT
ejpam-314	43	25	ϕmn(t	ϕmn(t	PROPN
ejpam-314	43	26	)	)	PUNCT
ejpam-314	43	27	)	)	PUNCT
ejpam-314	44	1	©	©	PROPN
ejpam-314	44	2	,	,	PUNCT
ejpam-314	44	3	where	where	SCONJ
ejpam-314	44	4	ϕ	ϕ	NOUN
ejpam-314	44	5	is	be	AUX
ejpam-314	44	6	is	be	AUX
ejpam-314	44	7	an	an	DET
ejpam-314	44	8	almost	almost	ADV
ejpam-314	44	9	periodic	periodic	ADJ
ejpam-314	44	10	function	function	NOUN
ejpam-314	44	11	on	on	ADP
ejpam-314	44	12	r.	r.	PROPN
ejpam-314	44	13	for	for	ADP
ejpam-314	44	14	∀ϕ	∀ϕ	PROPN
ejpam-314	44	15	∈	∈	PROPN
ejpam-314	44	16	b	b	PROPN
ejpam-314	44	17	,	,	PUNCT
ejpam-314	44	18	we	we	PRON
ejpam-314	44	19	define	define	VERB
ejpam-314	44	20	the	the	DET
ejpam-314	44	21	norm	norm	NOUN
ejpam-314	44	22	ϕ	ϕ	PROPN
ejpam-314	44	23	b	b	PROPN
ejpam-314	44	24	=	=	NOUN
ejpam-314	44	25	sup	sup	NOUN
ejpam-314	44	26	t∈r	t∈r	NOUN
ejpam-314	44	27	ϕ(t	ϕ(t	NUM
ejpam-314	44	28	)	)	PUNCT
ejpam-314	44	29	,	,	PUNCT
ejpam-314	44	30	then	then	ADV
ejpam-314	44	31	b	b	X
ejpam-314	44	32	is	be	AUX
ejpam-314	44	33	a	a	DET
ejpam-314	44	34	banach	banach	NOUN
ejpam-314	44	35	space	space	NOUN
ejpam-314	44	36	.	.	PUNCT
ejpam-314	45	1	the	the	DET
ejpam-314	45	2	initial	initial	ADJ
ejpam-314	45	3	conditions	condition	NOUN
ejpam-314	45	4	associated	associate	VERB
ejpam-314	45	5	with	with	ADP
ejpam-314	45	6	system	system	NOUN
ejpam-314	45	7	(	(	PUNCT
ejpam-314	45	8	1.1	1.1	NUM
ejpam-314	45	9	)	)	PUNCT
ejpam-314	45	10	are	be	AUX
ejpam-314	45	11	of	of	ADP
ejpam-314	45	12	the	the	DET
ejpam-314	45	13	form	form	NOUN
ejpam-314	45	14	x	x	PUNCT
ejpam-314	45	15	i	i	PRON
ejpam-314	45	16	j(s	j(s	PROPN
ejpam-314	45	17	)	)	PUNCT
ejpam-314	46	1	=	=	NOUN
ejpam-314	46	2	ϕi	ϕi	ADP
ejpam-314	46	3	j(s	j(s	PROPN
ejpam-314	46	4	)	)	PUNCT
ejpam-314	46	5	,	,	PUNCT
ejpam-314	46	6	s	s	PROPN
ejpam-314	46	7	∈	∈	PROPN
ejpam-314	46	8	(	(	PUNCT
ejpam-314	46	9	−∞	−∞	NOUN
ejpam-314	46	10	,	,	PUNCT
ejpam-314	46	11	0	0	NUM
ejpam-314	46	12	]	]	PUNCT
ejpam-314	46	13	,	,	PUNCT
ejpam-314	46	14	i	i	PRON
ejpam-314	46	15	=	=	NOUN
ejpam-314	46	16	1	1	NUM
ejpam-314	46	17	,	,	PUNCT
ejpam-314	46	18	·	·	PUNCT
ejpam-314	46	19	·	·	PUNCT
ejpam-314	46	20	·	·	PUNCT
ejpam-314	46	21	,	,	PUNCT
ejpam-314	46	22	m	m	PROPN
ejpam-314	46	23	,	,	PUNCT
ejpam-314	46	24	j	j	PROPN
ejpam-314	46	25	=	=	SYM
ejpam-314	46	26	1	1	NUM
ejpam-314	46	27	,	,	PUNCT
ejpam-314	46	28	·	·	PUNCT
ejpam-314	46	29	·	·	PUNCT
ejpam-314	46	30	·	·	PUNCT
ejpam-314	46	31	,	,	PUNCT
ejpam-314	46	32	n	n	CCONJ
ejpam-314	46	33	,	,	PUNCT
ejpam-314	46	34	(	(	PUNCT
ejpam-314	46	35	1.1	1.1	NUM
ejpam-314	46	36	)	)	PUNCT
ejpam-314	46	37	where	where	SCONJ
ejpam-314	46	38	ϕ	ϕ	NOUN
ejpam-314	46	39	=	=	X
ejpam-314	46	40	¦	¦	PROPN
ejpam-314	46	41	ϕi	ϕi	ADP
ejpam-314	46	42	j(t	j(t	PROPN
ejpam-314	46	43	)	)	PUNCT
ejpam-314	47	1	©	©	PROPN
ejpam-314	47	2	∈	∈	PROPN
ejpam-314	47	3	c((−∞	c((−∞	VERB
ejpam-314	47	4	,	,	PUNCT
ejpam-314	47	5	0	0	NUM
ejpam-314	47	6	]	]	PUNCT
ejpam-314	47	7	,	,	PUNCT
ejpam-314	47	8	rm×n	rm×n	NOUN
ejpam-314	47	9	)	)	PUNCT
ejpam-314	47	10	.	.	PUNCT
ejpam-314	48	1	definition	definition	NOUN
ejpam-314	48	2	1.1	1.1	NUM
ejpam-314	48	3	.	.	PUNCT
ejpam-314	49	1	let	let	VERB
ejpam-314	49	2	k	k	PROPN
ejpam-314	49	3	∈	∈	PROPN
ejpam-314	49	4	z+	z+	PUNCT
ejpam-314	49	5	.	.	PUNCT
ejpam-314	50	1	a	a	DET
ejpam-314	50	2	continuous	continuous	ADJ
ejpam-314	50	3	function	function	NOUN
ejpam-314	50	4	u	u	NOUN
ejpam-314	50	5	:	:	PUNCT
ejpam-314	50	6	r→	r→	VERB
ejpam-314	50	7	rk	rk	NOUN
ejpam-314	50	8	is	be	AUX
ejpam-314	50	9	called	call	VERB
ejpam-314	50	10	almost	almost	ADV
ejpam-314	50	11	periodic	periodic	ADJ
ejpam-314	50	12	if	if	SCONJ
ejpam-314	50	13	for	for	ADP
ejpam-314	50	14	each	each	DET
ejpam-314	50	15	ǫ	ǫ	PRON
ejpam-314	50	16	>	>	X
ejpam-314	50	17	0	0	PUNCT
ejpam-314	51	1	there	there	PRON
ejpam-314	51	2	exists	exist	VERB
ejpam-314	51	3	a	a	DET
ejpam-314	51	4	constant	constant	ADJ
ejpam-314	51	5	l(ǫ	l(ǫ	NOUN
ejpam-314	51	6	)	)	PUNCT
ejpam-314	51	7	>	>	X
ejpam-314	51	8	0	0	NUM
ejpam-314	52	1	such	such	ADJ
ejpam-314	52	2	that	that	SCONJ
ejpam-314	52	3	every	every	DET
ejpam-314	52	4	interval	interval	NOUN
ejpam-314	52	5	of	of	ADP
ejpam-314	52	6	length	length	NOUN
ejpam-314	52	7	l(ǫ	l(ǫ	PROPN
ejpam-314	52	8	)	)	PUNCT
ejpam-314	52	9	contains	contain	VERB
ejpam-314	52	10	a	a	DET
ejpam-314	52	11	number	number	NOUN
ejpam-314	52	12	δ	δ	NOUN
ejpam-314	52	13	with	with	ADP
ejpam-314	52	14	the	the	DET
ejpam-314	52	15	property	property	NOUN
ejpam-314	52	16	that	that	PRON
ejpam-314	52	17	‖u(t	‖u(t	PUNCT
ejpam-314	52	18	+	+	ADJ
ejpam-314	52	19	δ)−	δ)−	NOUN
ejpam-314	52	20	u(t)‖	u(t)‖	ADP
ejpam-314	52	21	<	<	X
ejpam-314	52	22	ǫ	ǫ	NOUN
ejpam-314	52	23	for	for	ADP
ejpam-314	52	24	all	all	DET
ejpam-314	52	25	t	t	PROPN
ejpam-314	52	26	∈	∈	PROPN
ejpam-314	52	27	r.	r.	PROPN
ejpam-314	52	28	definition	definition	NOUN
ejpam-314	52	29	1.2	1.2	NUM
ejpam-314	52	30	.	.	PUNCT
ejpam-314	53	1	let	let	VERB
ejpam-314	53	2	x	x	SYM
ejpam-314	53	3	∈	∈	PROPN
ejpam-314	53	4	rn	rn	PROPN
ejpam-314	53	5	and	and	CCONJ
ejpam-314	53	6	q(t	q(t	PROPN
ejpam-314	53	7	)	)	PUNCT
ejpam-314	53	8	be	be	VERB
ejpam-314	53	9	a	a	DET
ejpam-314	53	10	n×	n×	PROPN
ejpam-314	53	11	n	n	CCONJ
ejpam-314	53	12	continuous	continuous	ADJ
ejpam-314	53	13	matrix	matrix	NOUN
ejpam-314	53	14	defined	define	VERB
ejpam-314	53	15	on	on	ADP
ejpam-314	53	16	r.	r.	PROPN
ejpam-314	53	17	the	the	DET
ejpam-314	53	18	linear	linear	ADJ
ejpam-314	53	19	system	system	NOUN
ejpam-314	53	20	x	x	NOUN
ejpam-314	53	21	′(t	′(t	VERB
ejpam-314	53	22	)	)	PUNCT
ejpam-314	53	23	=	=	PUNCT
ejpam-314	54	1	q(t)x(t	q(t)x(t	X
ejpam-314	54	2	)	)	PUNCT
ejpam-314	54	3	(	(	PUNCT
ejpam-314	54	4	1.3	1.3	NUM
ejpam-314	54	5	)	)	PUNCT
ejpam-314	54	6	is	be	AUX
ejpam-314	54	7	said	say	VERB
ejpam-314	54	8	to	to	PART
ejpam-314	54	9	admit	admit	VERB
ejpam-314	54	10	an	an	DET
ejpam-314	54	11	exponential	exponential	ADJ
ejpam-314	54	12	dichotomy	dichotomy	NOUN
ejpam-314	54	13	on	on	ADP
ejpam-314	54	14	r	r	NOUN
ejpam-314	54	15	if	if	SCONJ
ejpam-314	54	16	there	there	PRON
ejpam-314	54	17	exist	exist	VERB
ejpam-314	54	18	positive	positive	ADJ
ejpam-314	54	19	constants	constant	NOUN
ejpam-314	54	20	k	k	PROPN
ejpam-314	54	21	,	,	PUNCT
ejpam-314	54	22	α	α	PROPN
ejpam-314	54	23	,	,	PUNCT
ejpam-314	54	24	projection	projection	NOUN
ejpam-314	54	25	p	p	NOUN
ejpam-314	54	26	and	and	CCONJ
ejpam-314	54	27	the	the	DET
ejpam-314	54	28	fundamental	fundamental	ADJ
ejpam-314	54	29	solution	solution	NOUN
ejpam-314	54	30	matrix	matrix	NOUN
ejpam-314	54	31	x	x	SYM
ejpam-314	54	32	(	(	PUNCT
ejpam-314	54	33	t	t	NOUN
ejpam-314	54	34	)	)	PUNCT
ejpam-314	54	35	of	of	ADP
ejpam-314	54	36	(	(	PUNCT
ejpam-314	54	37	1.3	1.3	NUM
ejpam-314	54	38	)	)	PUNCT
ejpam-314	54	39	satisfying	satisfy	VERB
ejpam-314	54	40	x	x	X
ejpam-314	54	41	(	(	PUNCT
ejpam-314	54	42	t)px−1(s	t)px−1(s	PROPN
ejpam-314	54	43	)	)	PUNCT
ejpam-314	54	44	≤	≤	NUM
ejpam-314	54	45	ke−α(t−s	ke−α(t−s	PROPN
ejpam-314	54	46	)	)	PUNCT
ejpam-314	54	47	for	for	ADP
ejpam-314	54	48	t	t	PROPN
ejpam-314	54	49	≥	≥	NOUN
ejpam-314	54	50	s	s	PROPN
ejpam-314	54	51	,	,	PUNCT
ejpam-314	54	52	x	x	INTJ
ejpam-314	54	53	(	(	PUNCT
ejpam-314	54	54	t)(i	t)(i	NOUN
ejpam-314	54	55	−	−	PRON
ejpam-314	54	56	p)x−1(s	p)x−1(	NOUN
ejpam-314	54	57	)	)	PUNCT
ejpam-314	54	58	≤	≤	NOUN
ejpam-314	54	59	ke−α(s−t	ke−α(s−t	NOUN
ejpam-314	54	60	)	)	PUNCT
ejpam-314	54	61	for	for	ADP
ejpam-314	54	62	t	t	NOUN
ejpam-314	54	63	≤	≤	NUM
ejpam-314	54	64	s.	s.	PROPN
ejpam-314	54	65	a.	a.	PROPN
ejpam-314	54	66	wu	wu	PROPN
ejpam-314	54	67	and	and	CCONJ
ejpam-314	54	68	c.	c.	PROPN
ejpam-314	54	69	fu	fu	PROPN
ejpam-314	54	70	/	/	SYM
ejpam-314	54	71	eur	eur	PROPN
ejpam-314	54	72	.	.	PUNCT
ejpam-314	55	1	j.	j.	PROPN
ejpam-314	55	2	pure	pure	PROPN
ejpam-314	55	3	appl	appl	PROPN
ejpam-314	55	4	.	.	PROPN
ejpam-314	55	5	math	math	PROPN
ejpam-314	55	6	,	,	PUNCT
ejpam-314	55	7	2	2	NUM
ejpam-314	55	8	(	(	PUNCT
ejpam-314	55	9	2009	2009	NUM
ejpam-314	55	10	)	)	PUNCT
ejpam-314	55	11	,	,	PUNCT
ejpam-314	55	12	(	(	PUNCT
ejpam-314	55	13	448	448	NUM
ejpam-314	55	14	-	-	SYM
ejpam-314	55	15	461	461	NUM
ejpam-314	55	16	)	)	PUNCT
ejpam-314	55	17	451	451	NUM
ejpam-314	56	1	lemma	lemma	PROPN
ejpam-314	56	2	1.1	1.1	NUM
ejpam-314	56	3	.	.	PUNCT
ejpam-314	57	1	[	[	X
ejpam-314	57	2	12	12	NUM
ejpam-314	57	3	]	]	PUNCT
ejpam-314	57	4	.	.	PUNCT
ejpam-314	58	1	if	if	SCONJ
ejpam-314	58	2	the	the	DET
ejpam-314	58	3	linear	linear	ADJ
ejpam-314	58	4	system	system	NOUN
ejpam-314	58	5	(	(	PUNCT
ejpam-314	58	6	1.3	1.3	NUM
ejpam-314	58	7	)	)	PUNCT
ejpam-314	58	8	admits	admit	VERB
ejpam-314	58	9	an	an	DET
ejpam-314	58	10	exponential	exponential	ADJ
ejpam-314	58	11	dichotomy	dichotomy	NOUN
ejpam-314	58	12	,	,	PUNCT
ejpam-314	58	13	then	then	ADV
ejpam-314	58	14	almost	almost	ADV
ejpam-314	58	15	periodic	periodic	ADJ
ejpam-314	58	16	system	system	NOUN
ejpam-314	58	17	x	x	NOUN
ejpam-314	58	18	′(t	′(t	PROPN
ejpam-314	58	19	)	)	PUNCT
ejpam-314	58	20	=	=	NOUN
ejpam-314	58	21	q(t)x(t)+	q(t)x(t)+	PROPN
ejpam-314	58	22	g(t	g(t	PROPN
ejpam-314	58	23	)	)	PUNCT
ejpam-314	58	24	(	(	PUNCT
ejpam-314	58	25	1.4	1.4	NUM
ejpam-314	58	26	)	)	PUNCT
ejpam-314	58	27	has	have	VERB
ejpam-314	58	28	a	a	DET
ejpam-314	58	29	unique	unique	ADJ
ejpam-314	58	30	almost	almost	ADV
ejpam-314	58	31	periodic	periodic	ADJ
ejpam-314	58	32	solution	solution	NOUN
ejpam-314	58	33	x(t	x(t	PROPN
ejpam-314	58	34	)	)	PUNCT
ejpam-314	58	35	,	,	PUNCT
ejpam-314	58	36	and	and	CCONJ
ejpam-314	58	37	x(t	x(t	PROPN
ejpam-314	58	38	)	)	PUNCT
ejpam-314	59	1	=	=	SYM
ejpam-314	59	2	∫	∫	PROPN
ejpam-314	59	3	t	t	PROPN
ejpam-314	59	4	−∞	−∞	X
ejpam-314	59	5	x	x	X
ejpam-314	59	6	(	(	PUNCT
ejpam-314	59	7	t)px−1(s)g(s)ds	t)px−1(s)g(s)ds	NOUN
ejpam-314	59	8	−	−	NOUN
ejpam-314	59	9	∫	∫	PROPN
ejpam-314	60	1	+	+	NUM
ejpam-314	60	2	∞	∞	PROPN
ejpam-314	60	3	t	t	NOUN
ejpam-314	60	4	x	x	SYM
ejpam-314	60	5	(	(	PUNCT
ejpam-314	60	6	t)(i	t)(i	NOUN
ejpam-314	60	7	−	−	ADP
ejpam-314	60	8	p)x−1(s)g(s)ds	p)x−1(s)g(s)ds	NOUN
ejpam-314	60	9	.	.	PUNCT
ejpam-314	60	10	lemma	lemma	PROPN
ejpam-314	60	11	1.2	1.2	NUM
ejpam-314	60	12	.	.	PUNCT
ejpam-314	61	1	[	[	X
ejpam-314	61	2	12	12	NUM
ejpam-314	61	3	]	]	PUNCT
ejpam-314	61	4	.	.	PUNCT
ejpam-314	62	1	let	let	AUX
ejpam-314	62	2	ci(t	ci(t	ADV
ejpam-314	62	3	)	)	PUNCT
ejpam-314	62	4	be	be	AUX
ejpam-314	62	5	an	an	DET
ejpam-314	62	6	almost	almost	ADV
ejpam-314	62	7	periodic	periodic	ADJ
ejpam-314	62	8	function	function	NOUN
ejpam-314	62	9	on	on	ADP
ejpam-314	62	10	r	r	NOUN
ejpam-314	62	11	and	and	CCONJ
ejpam-314	62	12	m[ci	m[ci	PROPN
ejpam-314	62	13	]	]	X
ejpam-314	62	14	=	=	SYM
ejpam-314	62	15	lim	lim	PROPN
ejpam-314	62	16	t→+∞	t→+∞	VERB
ejpam-314	62	17	1	1	NUM
ejpam-314	62	18	t	t	NOUN
ejpam-314	62	19	∫	∫	PROPN
ejpam-314	63	1	t+t	t+t	PROPN
ejpam-314	63	2	t	t	PROPN
ejpam-314	63	3	ci(s)ds	ci(s)d	VERB
ejpam-314	63	4	>	>	X
ejpam-314	63	5	0	0	NUM
ejpam-314	63	6	,	,	PUNCT
ejpam-314	63	7	i	i	PRON
ejpam-314	63	8	=	=	NOUN
ejpam-314	63	9	1	1	NUM
ejpam-314	63	10	,	,	PUNCT
ejpam-314	63	11	·	·	PUNCT
ejpam-314	63	12	·	·	PUNCT
ejpam-314	63	13	·	·	PUNCT
ejpam-314	63	14	,	,	PUNCT
ejpam-314	63	15	n.	n.	PROPN
ejpam-314	63	16	then	then	ADV
ejpam-314	63	17	the	the	DET
ejpam-314	63	18	linear	linear	ADJ
ejpam-314	63	19	system	system	NOUN
ejpam-314	63	20	x	x	NOUN
ejpam-314	63	21	′(t	′(t	X
ejpam-314	63	22	)	)	PUNCT
ejpam-314	64	1	=	=	SYM
ejpam-314	64	2	diag(−c1(t	diag(−c1(t	PROPN
ejpam-314	64	3	)	)	PUNCT
ejpam-314	64	4	,	,	PUNCT
ejpam-314	64	5	·	·	PUNCT
ejpam-314	64	6	·	·	PUNCT
ejpam-314	64	7	·	·	PUNCT
ejpam-314	64	8	,	,	PUNCT
ejpam-314	64	9	−cn(t))x(t	−cn(t))x(t	PROPN
ejpam-314	64	10	)	)	PUNCT
ejpam-314	64	11	admits	admit	VERB
ejpam-314	64	12	an	an	DET
ejpam-314	64	13	exponential	exponential	ADJ
ejpam-314	64	14	dichotomy	dichotomy	NOUN
ejpam-314	64	15	on	on	ADP
ejpam-314	64	16	r.	r.	PROPN
ejpam-314	64	17	2	2	NUM
ejpam-314	64	18	.	.	PUNCT
ejpam-314	65	1	existence	existence	NOUN
ejpam-314	65	2	of	of	ADP
ejpam-314	65	3	almost	almost	ADV
ejpam-314	65	4	periodic	periodic	ADJ
ejpam-314	65	5	solutions	solution	NOUN
ejpam-314	65	6	theorem	theorem	VERB
ejpam-314	65	7	2.1	2.1	NUM
ejpam-314	65	8	.	.	PUNCT
ejpam-314	66	1	assume	assume	VERB
ejpam-314	66	2	that	that	SCONJ
ejpam-314	66	3	(	(	PUNCT
ejpam-314	66	4	h1	h1	PROPN
ejpam-314	66	5	)	)	PUNCT
ejpam-314	66	6	for	for	ADP
ejpam-314	66	7	i	i	PROPN
ejpam-314	66	8	=	=	SYM
ejpam-314	66	9	1	1	NUM
ejpam-314	66	10	,	,	PUNCT
ejpam-314	66	11	·	·	PUNCT
ejpam-314	66	12	·	·	PUNCT
ejpam-314	66	13	·	·	PUNCT
ejpam-314	66	14	,	,	PUNCT
ejpam-314	66	15	m	m	PROPN
ejpam-314	66	16	,	,	PUNCT
ejpam-314	66	17	j	j	PROPN
ejpam-314	66	18	=	=	SYM
ejpam-314	66	19	1	1	NUM
ejpam-314	66	20	,	,	PUNCT
ejpam-314	66	21	·	·	PUNCT
ejpam-314	66	22	·	·	PUNCT
ejpam-314	66	23	·	·	PUNCT
ejpam-314	66	24	,	,	PUNCT
ejpam-314	66	25	n	n	CCONJ
ejpam-314	66	26	,	,	PUNCT
ejpam-314	66	27	the	the	DET
ejpam-314	66	28	delay	delay	NOUN
ejpam-314	66	29	kernels	kernel	VERB
ejpam-314	67	1	ki	ki	PROPN
ejpam-314	68	1	j	j	PROPN
ejpam-314	68	2	:	:	PUNCT
ejpam-314	69	1	[	[	X
ejpam-314	69	2	0,∞)→	0,∞)→	NOUN
ejpam-314	69	3	r	r	NOUN
ejpam-314	69	4	are	be	AUX
ejpam-314	69	5	continuous	continuous	ADJ
ejpam-314	69	6	and	and	CCONJ
ejpam-314	69	7	integrable	integrable	ADJ
ejpam-314	69	8	,	,	PUNCT
ejpam-314	69	9	ai	ai	VERB
ejpam-314	69	10	j	j	PROPN
ejpam-314	69	11	,	,	PUNCT
ejpam-314	69	12	c	c	NOUN
ejpam-314	69	13	kl	kl	INTJ
ejpam-314	69	14	i	i	PROPN
ejpam-314	69	15	j	j	PROPN
ejpam-314	69	16	,	,	PUNCT
ejpam-314	69	17	bkl	bkl	NOUN
ejpam-314	69	18	i	i	PRON
ejpam-314	69	19	j	j	PROPN
ejpam-314	69	20	,	,	PUNCT
ejpam-314	69	21	li	li	PROPN
ejpam-314	69	22	j	j	PROPN
ejpam-314	69	23	∈	∈	PROPN
ejpam-314	69	24	b	b	PROPN
ejpam-314	69	25	;	;	PUNCT
ejpam-314	69	26	(	(	PUNCT
ejpam-314	69	27	h2	h2	NOUN
ejpam-314	69	28	)	)	PUNCT
ejpam-314	69	29	there	there	PRON
ejpam-314	69	30	exists	exist	VERB
ejpam-314	69	31	a	a	DET
ejpam-314	69	32	continuous	continuous	ADJ
ejpam-314	69	33	function	function	NOUN
ejpam-314	69	34	l	l	NOUN
ejpam-314	69	35	:	:	PUNCT
ejpam-314	70	1	r+→	r+→	NOUN
ejpam-314	70	2	r+	r+	NOUN
ejpam-314	70	3	such	such	ADJ
ejpam-314	70	4	that	that	PRON
ejpam-314	70	5	for	for	ADP
ejpam-314	70	6	each	each	DET
ejpam-314	70	7	r	r	NOUN
ejpam-314	70	8	>	>	X
ejpam-314	70	9	0	0	NUM
ejpam-314	70	10	,	,	PUNCT
ejpam-314	70	11	�	�	PROPN
ejpam-314	70	12	�	�	PROPN
ejpam-314	70	13	f	f	PROPN
ejpam-314	70	14	(	(	PUNCT
ejpam-314	70	15	u)−	u)−	PROPN
ejpam-314	70	16	f	f	PROPN
ejpam-314	70	17	(	(	PUNCT
ejpam-314	70	18	v	v	NOUN
ejpam-314	70	19	)	)	PUNCT
ejpam-314	70	20	�	�	PROPN
ejpam-314	70	21	�	�	PROPN
ejpam-314	70	22	≤	≤	PROPN
ejpam-314	70	23	l(r	l(r	PROPN
ejpam-314	70	24	)	)	PUNCT
ejpam-314	70	25	|u−	|u−	NOUN
ejpam-314	70	26	v|	v|	NOUN
ejpam-314	70	27	,	,	PUNCT
ejpam-314	70	28	|u|	|u|	PROPN
ejpam-314	70	29	,	,	PUNCT
ejpam-314	70	30	|v|	|v|	VERB
ejpam-314	70	31	≤	≤	NUM
ejpam-314	70	32	r	r	NOUN
ejpam-314	70	33	;	;	PUNCT
ejpam-314	70	34	�	�	PROPN
ejpam-314	70	35	�	�	PROPN
ejpam-314	70	36	g(u)−	g(u)−	PROPN
ejpam-314	70	37	g(v	g(v	PROPN
ejpam-314	70	38	)	)	PUNCT
ejpam-314	70	39	�	�	PROPN
ejpam-314	70	40	�	�	PROPN
ejpam-314	70	41	≤	≤	PROPN
ejpam-314	70	42	l(r	l(r	PROPN
ejpam-314	70	43	)	)	PUNCT
ejpam-314	70	44	|u−	|u−	NOUN
ejpam-314	70	45	v|	v|	NOUN
ejpam-314	70	46	,	,	PUNCT
ejpam-314	70	47	|u|	|u|	PROPN
ejpam-314	70	48	,	,	PUNCT
ejpam-314	70	49	|v|	|v|	VERB
ejpam-314	70	50	≤	≤	PROPN
ejpam-314	70	51	r.	r.	NOUN
ejpam-314	70	52	(	(	PUNCT
ejpam-314	70	53	h3	h3	NOUN
ejpam-314	70	54	)	)	PUNCT
ejpam-314	70	55	there	there	PRON
ejpam-314	70	56	exists	exist	VERB
ejpam-314	70	57	a	a	DET
ejpam-314	70	58	constant	constant	ADJ
ejpam-314	70	59	r0	r0	NOUN
ejpam-314	70	60	>	>	X
ejpam-314	70	61	0	0	NUM
ejpam-314	71	1	such	such	ADJ
ejpam-314	71	2	that	that	SCONJ
ejpam-314	71	3	d[f(0)r0	d[f(0)r0	PROPN
ejpam-314	71	4	+	+	CCONJ
ejpam-314	71	5	l(r0)r	l(r0)r	NOUN
ejpam-314	71	6	2	2	NUM
ejpam-314	71	7	0	0	NUM
ejpam-314	71	8	]	]	PUNCT
ejpam-314	72	1	+	+	NUM
ejpam-314	72	2	l	l	NOUN
ejpam-314	72	3	≤	≤	NOUN
ejpam-314	72	4	r0	r0	NOUN
ejpam-314	72	5	,	,	PUNCT
ejpam-314	72	6	df(0	df(0	PROPN
ejpam-314	72	7	)	)	PUNCT
ejpam-314	73	1	+	+	CCONJ
ejpam-314	73	2	2dl(r0)r0	2dl(r0)r0	NOUN
ejpam-314	73	3	<	<	X
ejpam-314	73	4	1	1	NUM
ejpam-314	73	5	,	,	PUNCT
ejpam-314	73	6	a.	a.	PROPN
ejpam-314	73	7	wu	wu	PROPN
ejpam-314	73	8	and	and	CCONJ
ejpam-314	73	9	c.	c.	PROPN
ejpam-314	73	10	fu	fu	PROPN
ejpam-314	73	11	/	/	SYM
ejpam-314	73	12	eur	eur	PROPN
ejpam-314	73	13	.	.	PUNCT
ejpam-314	74	1	j.	j.	PROPN
ejpam-314	74	2	pure	pure	PROPN
ejpam-314	74	3	appl	appl	PROPN
ejpam-314	74	4	.	.	PROPN
ejpam-314	74	5	math	math	PROPN
ejpam-314	74	6	,	,	PUNCT
ejpam-314	74	7	2	2	NUM
ejpam-314	74	8	(	(	PUNCT
ejpam-314	74	9	2009	2009	NUM
ejpam-314	74	10	)	)	PUNCT
ejpam-314	74	11	,	,	PUNCT
ejpam-314	74	12	(	(	PUNCT
ejpam-314	74	13	448	448	NUM
ejpam-314	74	14	-	-	SYM
ejpam-314	74	15	461	461	NUM
ejpam-314	74	16	)	)	PUNCT
ejpam-314	74	17	452	452	NUM
ejpam-314	74	18	where	where	SCONJ
ejpam-314	74	19	d	d	PROPN
ejpam-314	74	20	=	=	SYM
ejpam-314	74	21	max	max	X
ejpam-314	74	22	(	(	PUNCT
ejpam-314	74	23	i	i	PROPN
ejpam-314	74	24	,	,	PUNCT
ejpam-314	74	25	j	j	PROPN
ejpam-314	74	26	)	)	PUNCT
ejpam-314	74	27	{	{	PUNCT
ejpam-314	74	28	∑	∑	ADV
ejpam-314	74	29	ckl∈nr	ckl∈nr	NOUN
ejpam-314	74	30	(	(	PUNCT
ejpam-314	74	31	i	i	PROPN
ejpam-314	74	32	,	,	PUNCT
ejpam-314	74	33	j	j	PROPN
ejpam-314	74	34	)	)	PUNCT
ejpam-314	74	35	c	c	PROPN
ejpam-314	75	1	kl	kl	INTJ
ejpam-314	76	1	i	i	PRON
ejpam-314	76	2	j	j	PROPN
ejpam-314	77	1	+	+	CCONJ
ejpam-314	77	2	∑	∑	PROPN
ejpam-314	77	3	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	77	4	,	,	PUNCT
ejpam-314	77	5	j	j	NOUN
ejpam-314	77	6	)	)	PUNCT
ejpam-314	77	7	b	b	PROPN
ejpam-314	78	1	kl	kl	INTJ
ejpam-314	79	1	i	i	PRON
ejpam-314	79	2	j	j	PROPN
ejpam-314	79	3	∫∞	∫∞	NOUN
ejpam-314	79	4	0	0	PROPN
ejpam-314	79	5	�	�	PROPN
ejpam-314	79	6	�	�	PROPN
ejpam-314	79	7	ki	ki	PROPN
ejpam-314	79	8	j(u	j(u	PROPN
ejpam-314	79	9	)	)	PUNCT
ejpam-314	79	10	�	�	PROPN
ejpam-314	79	11	�	�	PROPN
ejpam-314	79	12	du	du	PROPN
ejpam-314	79	13	a	a	PROPN
ejpam-314	79	14	i	i	PRON
ejpam-314	79	15	j	j	PROPN
ejpam-314	79	16	}	}	PUNCT
ejpam-314	79	17	>	>	X
ejpam-314	79	18	0	0	NUM
ejpam-314	79	19	,	,	PUNCT
ejpam-314	79	20	f(0	f(0	NOUN
ejpam-314	79	21	)	)	PUNCT
ejpam-314	79	22	=	=	SYM
ejpam-314	79	23	max	max	PROPN
ejpam-314	79	24	¦	¦	PROPN
ejpam-314	79	25	�	�	PROPN
ejpam-314	79	26	�	�	PROPN
ejpam-314	79	27	f	f	PROPN
ejpam-314	79	28	(	(	PUNCT
ejpam-314	79	29	0	0	NUM
ejpam-314	79	30	)	)	PUNCT
ejpam-314	79	31	�	�	PROPN
ejpam-314	79	32	�	�	PROPN
ejpam-314	79	33	,	,	PUNCT
ejpam-314	79	34	�	�	PROPN
ejpam-314	79	35	�	�	PROPN
ejpam-314	79	36	g(0	g(0	PROPN
ejpam-314	79	37	)	)	PUNCT
ejpam-314	79	38	�	�	PROPN
ejpam-314	79	39	�	�	PROPN
ejpam-314	79	40	©	©	PROPN
ejpam-314	79	41	,	,	PUNCT
ejpam-314	79	42	l	l	PROPN
ejpam-314	79	43	=	=	SYM
ejpam-314	79	44	max	max	PROPN
ejpam-314	79	45	(	(	PUNCT
ejpam-314	79	46	i	i	PROPN
ejpam-314	79	47	,	,	PUNCT
ejpam-314	79	48	j	j	PROPN
ejpam-314	79	49	)	)	PUNCT
ejpam-314	80	1	l	l	NOUN
ejpam-314	81	1	i	i	PRON
ejpam-314	81	2	j	j	PROPN
ejpam-314	82	1	a	a	PRON
ejpam-314	82	2	i	i	PRON
ejpam-314	82	3	j	j	PROPN
ejpam-314	82	4	,	,	PUNCT
ejpam-314	82	5	l	l	PROPN
ejpam-314	83	1	i	i	PRON
ejpam-314	83	2	j	j	NOUN
ejpam-314	84	1	=	=	NOUN
ejpam-314	84	2	sup	sup	PROPN
ejpam-314	84	3	t∈r	t∈r	PROPN
ejpam-314	84	4	�	�	PROPN
ejpam-314	84	5	�	�	PROPN
ejpam-314	84	6	li	li	PROPN
ejpam-314	84	7	j(t	j(t	PROPN
ejpam-314	84	8	)	)	PUNCT
ejpam-314	84	9	�	�	PROPN
ejpam-314	84	10	�	�	PROPN
ejpam-314	84	11	,	,	PUNCT
ejpam-314	84	12	c	c	NOUN
ejpam-314	84	13	kl	kl	NOUN
ejpam-314	85	1	i	i	INTJ
ejpam-314	85	2	j	j	PROPN
ejpam-314	86	1	=	=	NOUN
ejpam-314	86	2	sup	sup	NOUN
ejpam-314	86	3	t∈r	t∈r	NOUN
ejpam-314	86	4	c	c	INTJ
ejpam-314	86	5	kl	kl	INTJ
ejpam-314	87	1	i	i	PRON
ejpam-314	87	2	j	j	PROPN
ejpam-314	87	3	(	(	PUNCT
ejpam-314	87	4	t	t	PROPN
ejpam-314	87	5	)	)	PUNCT
ejpam-314	87	6	,	,	PUNCT
ejpam-314	88	1	b	b	X
ejpam-314	88	2	kl	kl	INTJ
ejpam-314	88	3	i	i	INTJ
ejpam-314	88	4	j	j	NOUN
ejpam-314	89	1	=	=	NOUN
ejpam-314	89	2	sup	sup	NOUN
ejpam-314	89	3	t∈r	t∈r	NOUN
ejpam-314	89	4	bkl	bkl	NOUN
ejpam-314	90	1	i	i	PRON
ejpam-314	90	2	j	j	PROPN
ejpam-314	90	3	(	(	PUNCT
ejpam-314	90	4	t	t	PROPN
ejpam-314	90	5	)	)	PUNCT
ejpam-314	90	6	,	,	PUNCT
ejpam-314	90	7	a	a	PRON
ejpam-314	90	8	i	i	PRON
ejpam-314	90	9	j	j	PROPN
ejpam-314	90	10	=	=	PROPN
ejpam-314	90	11	inf	inf	PROPN
ejpam-314	90	12	t∈r	t∈r	NOUN
ejpam-314	90	13	ai	ai	VERB
ejpam-314	90	14	j(t	j(t	PROPN
ejpam-314	90	15	)	)	PUNCT
ejpam-314	90	16	>	>	X
ejpam-314	91	1	0	0	X
ejpam-314	91	2	.	.	PUNCT
ejpam-314	92	1	then	then	ADV
ejpam-314	92	2	sicnns	sicnns	PROPN
ejpam-314	92	3	(	(	PUNCT
ejpam-314	92	4	1.1	1.1	NUM
ejpam-314	92	5	)	)	PUNCT
ejpam-314	92	6	has	have	VERB
ejpam-314	92	7	a	a	DET
ejpam-314	92	8	unique	unique	ADJ
ejpam-314	92	9	almost	almost	ADV
ejpam-314	92	10	periodic	periodic	ADJ
ejpam-314	92	11	solution	solution	NOUN
ejpam-314	92	12	in	in	ADP
ejpam-314	92	13	the	the	DET
ejpam-314	92	14	region	region	NOUN
ejpam-314	92	15	e	e	NOUN
ejpam-314	92	16	:	:	PUNCT
ejpam-314	92	17	=	=	SYM
ejpam-314	92	18	¦	¦	X
ejpam-314	92	19	ϕ	ϕ	PROPN
ejpam-314	92	20	∈	∈	PROPN
ejpam-314	92	21	b	b	PROPN
ejpam-314	92	22	:	:	PUNCT
ejpam-314	92	23	ϕ	ϕ	PROPN
ejpam-314	92	24	b	b	X
ejpam-314	92	25	≤	≤	X
ejpam-314	92	26	r0	r0	NOUN
ejpam-314	92	27	©	©	NOUN
ejpam-314	92	28	.	.	PUNCT
ejpam-314	93	1	proof	proof	NOUN
ejpam-314	93	2	.	.	PUNCT
ejpam-314	94	1	for	for	ADP
ejpam-314	94	2	any	any	DET
ejpam-314	94	3	given	give	VERB
ejpam-314	94	4	ϕ	ϕ	PROPN
ejpam-314	94	5	∈	∈	PROPN
ejpam-314	94	6	b	b	PROPN
ejpam-314	94	7	,	,	PUNCT
ejpam-314	94	8	we	we	PRON
ejpam-314	94	9	consider	consider	VERB
ejpam-314	94	10	the	the	DET
ejpam-314	94	11	following	follow	VERB
ejpam-314	94	12	almost	almost	ADV
ejpam-314	94	13	periodic	periodic	ADJ
ejpam-314	94	14	differential	differential	ADJ
ejpam-314	94	15	equation	equation	NOUN
ejpam-314	94	16	:	:	PUNCT
ejpam-314	94	17	x	x	X
ejpam-314	95	1	′	′	NUM
ejpam-314	96	1	i	i	PRON
ejpam-314	96	2	j	j	PROPN
ejpam-314	96	3	(	(	PUNCT
ejpam-314	96	4	t	t	PROPN
ejpam-314	96	5	)	)	PUNCT
ejpam-314	97	1	=	=	NOUN
ejpam-314	97	2	−	−	PROPN
ejpam-314	97	3	ai	ai	VERB
ejpam-314	97	4	j(t)x	j(t)x	PROPN
ejpam-314	98	1	i	i	PRON
ejpam-314	98	2	j(t)−	j(t)−	PROPN
ejpam-314	98	3	∑	∑	PUNCT
ejpam-314	98	4	ckl∈nr	ckl∈nr	X
ejpam-314	98	5	(	(	PUNCT
ejpam-314	98	6	i	i	PROPN
ejpam-314	98	7	,	,	PUNCT
ejpam-314	98	8	j	j	PROPN
ejpam-314	98	9	)	)	PUNCT
ejpam-314	98	10	c	c	PROPN
ejpam-314	98	11	kl	kl	INTJ
ejpam-314	99	1	i	i	PRON
ejpam-314	99	2	j	j	PROPN
ejpam-314	99	3	(	(	PUNCT
ejpam-314	99	4	t	t	PROPN
ejpam-314	99	5	)	)	PUNCT
ejpam-314	99	6	f	f	PROPN
ejpam-314	99	7	(	(	PUNCT
ejpam-314	99	8	ϕkl(t	ϕkl(t	PROPN
ejpam-314	99	9	−τ(t)))ϕi	−τ(t)))ϕi	PROPN
ejpam-314	99	10	j(t	j(t	PROPN
ejpam-314	99	11	)	)	PUNCT
ejpam-314	99	12	−	−	PROPN
ejpam-314	99	13	∑	∑	PUNCT
ejpam-314	99	14	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	99	15	,	,	PUNCT
ejpam-314	99	16	j	j	NOUN
ejpam-314	99	17	)	)	PUNCT
ejpam-314	99	18	bkl	bkl	NOUN
ejpam-314	99	19	i	i	PRON
ejpam-314	99	20	j	j	PROPN
ejpam-314	99	21	(	(	PUNCT
ejpam-314	99	22	t	t	PROPN
ejpam-314	99	23	)	)	PUNCT
ejpam-314	99	24	∫	∫	PROPN
ejpam-314	100	1	∞	∞	PROPN
ejpam-314	100	2	0	0	NUM
ejpam-314	101	1	ki	ki	PROPN
ejpam-314	101	2	j(u)g(ϕkl(t	j(u)g(ϕkl(t	PROPN
ejpam-314	101	3	−	−	PROPN
ejpam-314	101	4	u))duϕi	u))duϕi	NOUN
ejpam-314	101	5	j(t	j(t	PROPN
ejpam-314	101	6	)	)	PUNCT
ejpam-314	102	1	+	+	CCONJ
ejpam-314	102	2	li	li	PROPN
ejpam-314	102	3	j(t	j(t	PROPN
ejpam-314	102	4	)	)	PUNCT
ejpam-314	102	5	.	.	PUNCT
ejpam-314	103	1	(	(	PUNCT
ejpam-314	103	2	2.1	2.1	NUM
ejpam-314	103	3	)	)	PUNCT
ejpam-314	103	4	then	then	ADV
ejpam-314	103	5	,	,	PUNCT
ejpam-314	103	6	notice	notice	VERB
ejpam-314	103	7	that	that	SCONJ
ejpam-314	103	8	m[ai	m[ai	PROPN
ejpam-314	103	9	j	j	PROPN
ejpam-314	103	10	]	]	X
ejpam-314	103	11	>	>	X
ejpam-314	103	12	0	0	PROPN
ejpam-314	103	13	,	,	PUNCT
ejpam-314	103	14	from	from	ADP
ejpam-314	103	15	lemma	lemma	PROPN
ejpam-314	103	16	1.2	1.2	NUM
ejpam-314	103	17	,	,	PUNCT
ejpam-314	103	18	the	the	DET
ejpam-314	103	19	linear	linear	ADJ
ejpam-314	103	20	system	system	NOUN
ejpam-314	103	21	x	x	NOUN
ejpam-314	104	1	′	′	NUM
ejpam-314	105	1	i	i	PRON
ejpam-314	105	2	j	j	PROPN
ejpam-314	105	3	(	(	PUNCT
ejpam-314	105	4	t	t	PROPN
ejpam-314	105	5	)	)	PUNCT
ejpam-314	105	6	=	=	SYM
ejpam-314	105	7	−ai	−ai	NOUN
ejpam-314	105	8	j(t)x	j(t)x	PROPN
ejpam-314	105	9	i	i	PRON
ejpam-314	105	10	j(t	j(t	PROPN
ejpam-314	105	11	)	)	PUNCT
ejpam-314	105	12	,	,	PUNCT
ejpam-314	105	13	i	i	PRON
ejpam-314	105	14	=	=	NOUN
ejpam-314	105	15	1	1	NUM
ejpam-314	105	16	,	,	PUNCT
ejpam-314	105	17	·	·	PUNCT
ejpam-314	105	18	·	·	PUNCT
ejpam-314	105	19	·	·	PUNCT
ejpam-314	105	20	,	,	PUNCT
ejpam-314	105	21	m	m	PROPN
ejpam-314	105	22	,	,	PUNCT
ejpam-314	105	23	j	j	PROPN
ejpam-314	105	24	=	=	SYM
ejpam-314	105	25	1	1	NUM
ejpam-314	105	26	,	,	PUNCT
ejpam-314	105	27	·	·	PUNCT
ejpam-314	105	28	·	·	PUNCT
ejpam-314	105	29	·	·	PUNCT
ejpam-314	105	30	,	,	PUNCT
ejpam-314	105	31	n	n	CCONJ
ejpam-314	105	32	,	,	PUNCT
ejpam-314	105	33	(	(	PUNCT
ejpam-314	105	34	2.2	2.2	NUM
ejpam-314	105	35	)	)	PUNCT
ejpam-314	105	36	admits	admit	VERB
ejpam-314	105	37	an	an	DET
ejpam-314	105	38	exponential	exponential	ADJ
ejpam-314	105	39	dichotomy	dichotomy	NOUN
ejpam-314	105	40	on	on	ADP
ejpam-314	105	41	r.	r.	PROPN
ejpam-314	105	42	thus	thus	ADV
ejpam-314	105	43	,	,	PUNCT
ejpam-314	105	44	by	by	ADP
ejpam-314	105	45	lemma	lemma	PROPN
ejpam-314	105	46	1.1	1.1	NUM
ejpam-314	105	47	,	,	PUNCT
ejpam-314	105	48	we	we	PRON
ejpam-314	105	49	obtain	obtain	VERB
ejpam-314	105	50	that	that	SCONJ
ejpam-314	105	51	the	the	DET
ejpam-314	105	52	system	system	NOUN
ejpam-314	105	53	(	(	PUNCT
ejpam-314	105	54	2.1	2.1	NUM
ejpam-314	105	55	)	)	PUNCT
ejpam-314	105	56	has	have	VERB
ejpam-314	105	57	exactly	exactly	ADV
ejpam-314	105	58	one	one	NUM
ejpam-314	105	59	almost	almost	ADV
ejpam-314	105	60	periodic	periodic	ADJ
ejpam-314	105	61	solution	solution	NOUN
ejpam-314	105	62	:	:	PUNCT
ejpam-314	105	63	xϕ(t	xϕ(t	NUM
ejpam-314	105	64	)	)	PUNCT
ejpam-314	106	1	=	=	SYM
ejpam-314	106	2	∫	∫	PROPN
ejpam-314	106	3	t	t	PROPN
ejpam-314	106	4	−∞	−∞	PUNCT
ejpam-314	106	5	e−	e−	PROPN
ejpam-314	106	6	∫	∫	PROPN
ejpam-314	107	1	t	t	PROPN
ejpam-314	107	2	s	s	VERB
ejpam-314	107	3	ai	ai	VERB
ejpam-314	107	4	j(u)du	j(u)du	PROPN
ejpam-314	107	5	�	�	PROPN
ejpam-314	107	6	−	−	ADP
ejpam-314	107	7	∑	∑	PUNCT
ejpam-314	107	8	ckl∈nr	ckl∈nr	X
ejpam-314	107	9	(	(	PUNCT
ejpam-314	107	10	i	i	PROPN
ejpam-314	107	11	,	,	PUNCT
ejpam-314	107	12	j	j	PROPN
ejpam-314	107	13	)	)	PUNCT
ejpam-314	108	1	c	c	PROPN
ejpam-314	108	2	kl	kl	INTJ
ejpam-314	109	1	i	i	PRON
ejpam-314	109	2	j	j	PROPN
ejpam-314	109	3	(	(	PUNCT
ejpam-314	109	4	s	s	PROPN
ejpam-314	109	5	)	)	PUNCT
ejpam-314	109	6	f	f	NOUN
ejpam-314	109	7	(	(	PUNCT
ejpam-314	109	8	ϕkl(s−τ(s)))ϕi	ϕkl(s−τ(s)))ϕi	NOUN
ejpam-314	109	9	j(s	j(s	NOUN
ejpam-314	109	10	)	)	PUNCT
ejpam-314	109	11	−	−	PROPN
ejpam-314	109	12	∑	∑	PUNCT
ejpam-314	109	13	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	109	14	,	,	PUNCT
ejpam-314	109	15	j	j	NOUN
ejpam-314	109	16	)	)	PUNCT
ejpam-314	109	17	bkl	bkl	NOUN
ejpam-314	110	1	i	i	PRON
ejpam-314	110	2	j	j	PROPN
ejpam-314	110	3	(	(	PUNCT
ejpam-314	110	4	s	s	PROPN
ejpam-314	110	5	)	)	PUNCT
ejpam-314	110	6	∫	∫	PROPN
ejpam-314	110	7	∞	∞	PROPN
ejpam-314	110	8	0	0	NUM
ejpam-314	111	1	ki	ki	PROPN
ejpam-314	111	2	j(u)g(ϕkl(s−	j(u)g(ϕkl(s−	PROPN
ejpam-314	111	3	u))duϕi	u))duϕi	NOUN
ejpam-314	111	4	j(s	j(s	NOUN
ejpam-314	111	5	)	)	PUNCT
ejpam-314	112	1	+	+	CCONJ
ejpam-314	112	2	li	li	PROPN
ejpam-314	112	3	j(s	j(s	PROPN
ejpam-314	112	4	)	)	PUNCT
ejpam-314	112	5	�	�	PROPN
ejpam-314	112	6	ds	ds	PROPN
ejpam-314	112	7	.	.	PUNCT
ejpam-314	113	1	now	now	ADV
ejpam-314	113	2	,	,	PUNCT
ejpam-314	113	3	we	we	PRON
ejpam-314	113	4	define	define	VERB
ejpam-314	113	5	a	a	DET
ejpam-314	113	6	nonlinear	nonlinear	ADJ
ejpam-314	113	7	operator	operator	NOUN
ejpam-314	113	8	on	on	ADP
ejpam-314	113	9	b	b	NUM
ejpam-314	113	10	by	by	ADP
ejpam-314	113	11	t	t	PROPN
ejpam-314	113	12	(	(	PUNCT
ejpam-314	113	13	ϕ)(t	ϕ)(t	PROPN
ejpam-314	113	14	)	)	PUNCT
ejpam-314	113	15	=	=	SYM
ejpam-314	113	16	xϕ(t),∀ϕ	xϕ(t),∀ϕ	PROPN
ejpam-314	113	17	∈	∈	PROPN
ejpam-314	113	18	b.	b.	PROPN
ejpam-314	114	1	next	next	ADV
ejpam-314	114	2	,	,	PUNCT
ejpam-314	114	3	we	we	PRON
ejpam-314	114	4	will	will	AUX
ejpam-314	114	5	prove	prove	VERB
ejpam-314	114	6	t	t	PROPN
ejpam-314	114	7	(	(	PUNCT
ejpam-314	114	8	e)⊂	e)⊂	PROPN
ejpam-314	114	9	e.	e.	PROPN
ejpam-314	114	10	for	for	ADP
ejpam-314	114	11	any	any	DET
ejpam-314	114	12	given	give	VERB
ejpam-314	114	13	ϕ	ϕ	PROPN
ejpam-314	114	14	∈	∈	PROPN
ejpam-314	114	15	e	e	NOUN
ejpam-314	114	16	,	,	PUNCT
ejpam-314	114	17	it	it	PRON
ejpam-314	114	18	suffices	suffice	VERB
ejpam-314	114	19	to	to	PART
ejpam-314	114	20	prove	prove	VERB
ejpam-314	114	21	that	that	SCONJ
ejpam-314	114	22	t	t	PROPN
ejpam-314	114	23	(	(	PUNCT
ejpam-314	114	24	ϕ	ϕ	NOUN
ejpam-314	114	25	)	)	PUNCT
ejpam-314	114	26	b	b	PROPN
ejpam-314	114	27	≤	≤	NUM
ejpam-314	114	28	r0	r0	NOUN
ejpam-314	114	29	.	.	PUNCT
ejpam-314	115	1	by	by	ADP
ejpam-314	115	2	(	(	PUNCT
ejpam-314	115	3	h2	h2	NOUN
ejpam-314	115	4	)	)	PUNCT
ejpam-314	115	5	and	and	CCONJ
ejpam-314	115	6	(	(	PUNCT
ejpam-314	115	7	h3	h3	NOUN
ejpam-314	115	8	)	)	PUNCT
ejpam-314	115	9	,	,	PUNCT
ejpam-314	115	10	we	we	PRON
ejpam-314	115	11	have	have	VERB
ejpam-314	115	12	t	t	PROPN
ejpam-314	115	13	(	(	PUNCT
ejpam-314	115	14	ϕ	ϕ	NOUN
ejpam-314	115	15	)	)	PUNCT
ejpam-314	115	16	b	b	NOUN
ejpam-314	116	1	=	=	NOUN
ejpam-314	116	2	sup	sup	NOUN
ejpam-314	116	3	t∈r	t∈r	NOUN
ejpam-314	116	4	max	max	PROPN
ejpam-314	116	5	(	(	PUNCT
ejpam-314	116	6	i	i	PROPN
ejpam-314	116	7	,	,	PUNCT
ejpam-314	116	8	j	j	PROPN
ejpam-314	116	9	)	)	PUNCT
ejpam-314	116	10	{	{	PUNCT
ejpam-314	116	11	|	|	ADV
ejpam-314	116	12	∫	∫	PROPN
ejpam-314	116	13	t	t	PROPN
ejpam-314	116	14	−∞	−∞	PUNCT
ejpam-314	116	15	e−	e−	PROPN
ejpam-314	116	16	∫	∫	PROPN
ejpam-314	116	17	t	t	PROPN
ejpam-314	116	18	s	s	VERB
ejpam-314	116	19	ai	ai	VERB
ejpam-314	116	20	j(u)du	j(u)du	PROPN
ejpam-314	116	21	�	�	PROPN
ejpam-314	116	22	−	−	ADP
ejpam-314	116	23	∑	∑	PUNCT
ejpam-314	116	24	ckl∈nr	ckl∈nr	X
ejpam-314	116	25	(	(	PUNCT
ejpam-314	116	26	i	i	PROPN
ejpam-314	116	27	,	,	PUNCT
ejpam-314	116	28	j	j	PROPN
ejpam-314	116	29	)	)	PUNCT
ejpam-314	116	30	c	c	PROPN
ejpam-314	117	1	kl	kl	INTJ
ejpam-314	118	1	i	i	PRON
ejpam-314	118	2	j	j	PROPN
ejpam-314	118	3	(	(	PUNCT
ejpam-314	118	4	s	s	PROPN
ejpam-314	118	5	)	)	PUNCT
ejpam-314	118	6	f	f	NOUN
ejpam-314	119	1	(	(	PUNCT
ejpam-314	119	2	ϕkl(s−	ϕkl(s−	PROPN
ejpam-314	119	3	τ(s)))ϕi	τ(s)))ϕi	X
ejpam-314	119	4	j(s	j(s	NOUN
ejpam-314	119	5	)	)	PUNCT
ejpam-314	119	6	a.	a.	PROPN
ejpam-314	119	7	wu	wu	PROPN
ejpam-314	119	8	and	and	CCONJ
ejpam-314	119	9	c.	c.	PROPN
ejpam-314	119	10	fu	fu	PROPN
ejpam-314	119	11	/	/	SYM
ejpam-314	119	12	eur	eur	PROPN
ejpam-314	119	13	.	.	PUNCT
ejpam-314	120	1	j.	j.	PROPN
ejpam-314	120	2	pure	pure	PROPN
ejpam-314	120	3	appl	appl	PROPN
ejpam-314	120	4	.	.	PROPN
ejpam-314	120	5	math	math	PROPN
ejpam-314	120	6	,	,	PUNCT
ejpam-314	120	7	2	2	NUM
ejpam-314	120	8	(	(	PUNCT
ejpam-314	120	9	2009	2009	NUM
ejpam-314	120	10	)	)	PUNCT
ejpam-314	120	11	,	,	PUNCT
ejpam-314	120	12	(	(	PUNCT
ejpam-314	120	13	448	448	NUM
ejpam-314	120	14	-	-	SYM
ejpam-314	120	15	461	461	NUM
ejpam-314	120	16	)	)	PUNCT
ejpam-314	120	17	453	453	NUM
ejpam-314	120	18	−	−	NUM
ejpam-314	120	19	∑	∑	PUNCT
ejpam-314	120	20	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	120	21	,	,	PUNCT
ejpam-314	120	22	j	j	NOUN
ejpam-314	120	23	)	)	PUNCT
ejpam-314	120	24	bkl	bkl	NOUN
ejpam-314	120	25	i	i	PRON
ejpam-314	120	26	j	j	PROPN
ejpam-314	120	27	(	(	PUNCT
ejpam-314	120	28	s	s	PROPN
ejpam-314	120	29	)	)	PUNCT
ejpam-314	120	30	∫	∫	PROPN
ejpam-314	121	1	∞	∞	PROPN
ejpam-314	121	2	0	0	NUM
ejpam-314	122	1	ki	ki	PROPN
ejpam-314	122	2	j(u)g(ϕkl(s−	j(u)g(ϕkl(s−	PROPN
ejpam-314	122	3	u))duϕi	u))duϕi	NOUN
ejpam-314	122	4	j(s	j(s	NOUN
ejpam-314	122	5	)	)	PUNCT
ejpam-314	123	1	+	+	CCONJ
ejpam-314	123	2	li	li	PROPN
ejpam-314	123	3	j(s	j(s	PROPN
ejpam-314	123	4	)	)	PUNCT
ejpam-314	123	5	�	�	PROPN
ejpam-314	123	6	ds	ds	ADJ
ejpam-314	123	7	|	|	NOUN
ejpam-314	123	8	}	}	PUNCT
ejpam-314	123	9	≤	≤	NUM
ejpam-314	123	10	sup	sup	NOUN
ejpam-314	123	11	t∈r	t∈r	NOUN
ejpam-314	123	12	max	max	PROPN
ejpam-314	123	13	(	(	PUNCT
ejpam-314	123	14	i	i	PROPN
ejpam-314	123	15	,	,	PUNCT
ejpam-314	123	16	j	j	PROPN
ejpam-314	123	17	)	)	PUNCT
ejpam-314	123	18	{	{	PUNCT
ejpam-314	123	19	|	|	ADV
ejpam-314	123	20	∫	∫	PROPN
ejpam-314	123	21	t	t	PROPN
ejpam-314	123	22	−∞	−∞	ADP
ejpam-314	123	23	e−ai	e−ai	PROPN
ejpam-314	123	24	j(t−s	j(t−s	PROPN
ejpam-314	123	25	)	)	PUNCT
ejpam-314	123	26	�	�	PROPN
ejpam-314	123	27	∑	∑	PUNCT
ejpam-314	123	28	ckl∈nr	ckl∈nr	X
ejpam-314	123	29	(	(	PUNCT
ejpam-314	123	30	i	i	PROPN
ejpam-314	123	31	,	,	PUNCT
ejpam-314	123	32	j	j	PROPN
ejpam-314	123	33	)	)	PUNCT
ejpam-314	123	34	c	c	PROPN
ejpam-314	123	35	kl	kl	INTJ
ejpam-314	124	1	i	i	INTJ
ejpam-314	124	2	j	j	PROPN
ejpam-314	125	1	f	f	X
ejpam-314	125	2	(	(	PUNCT
ejpam-314	125	3	ϕkl(s−τ(s)))ϕi	ϕkl(s−τ(s)))ϕi	NOUN
ejpam-314	125	4	j(s)ds	j(s)ds	PROPN
ejpam-314	125	5	+	+	CCONJ
ejpam-314	125	6	∑	∑	PUNCT
ejpam-314	125	7	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	125	8	,	,	PUNCT
ejpam-314	125	9	j	j	NOUN
ejpam-314	125	10	)	)	PUNCT
ejpam-314	125	11	b	b	PROPN
ejpam-314	125	12	kl	kl	INTJ
ejpam-314	126	1	i	i	INTJ
ejpam-314	126	2	j	j	PROPN
ejpam-314	127	1	∫	∫	PROPN
ejpam-314	127	2	∞	∞	PROPN
ejpam-314	127	3	0	0	NUM
ejpam-314	128	1	ki	ki	PROPN
ejpam-314	128	2	j(u)g(ϕkl(s−	j(u)g(ϕkl(s−	PROPN
ejpam-314	128	3	u))duϕi	u))duϕi	PROPN
ejpam-314	128	4	j(s)ds	j(s)ds	PROPN
ejpam-314	128	5	�	�	PROPN
ejpam-314	129	1	|}+max	|}+max	ADV
ejpam-314	129	2	(	(	PUNCT
ejpam-314	129	3	i	i	PROPN
ejpam-314	129	4	,	,	PUNCT
ejpam-314	129	5	j	j	PROPN
ejpam-314	129	6	)	)	PUNCT
ejpam-314	129	7	l	l	NOUN
ejpam-314	130	1	i	i	PRON
ejpam-314	130	2	j	j	PROPN
ejpam-314	131	1	a	a	PRON
ejpam-314	131	2	i	i	NOUN
ejpam-314	131	3	j	j	PROPN
ejpam-314	132	1	≤	≤	NUM
ejpam-314	132	2	sup	sup	NOUN
ejpam-314	132	3	t∈r	t∈r	PROPN
ejpam-314	132	4	max	max	PROPN
ejpam-314	132	5	(	(	PUNCT
ejpam-314	132	6	i	i	PROPN
ejpam-314	132	7	,	,	PUNCT
ejpam-314	132	8	j	j	PROPN
ejpam-314	132	9	)	)	PUNCT
ejpam-314	132	10	{	{	PUNCT
ejpam-314	132	11	|	|	ADV
ejpam-314	132	12	∫	∫	PROPN
ejpam-314	132	13	t	t	PROPN
ejpam-314	132	14	−∞	−∞	ADP
ejpam-314	132	15	e−ai	e−ai	PROPN
ejpam-314	132	16	j(t−s	j(t−s	PROPN
ejpam-314	132	17	)	)	PUNCT
ejpam-314	132	18	�	�	PROPN
ejpam-314	132	19	∑	∑	PUNCT
ejpam-314	132	20	ckl∈nr	ckl∈nr	X
ejpam-314	132	21	(	(	PUNCT
ejpam-314	132	22	i	i	PROPN
ejpam-314	132	23	,	,	PUNCT
ejpam-314	132	24	j	j	PROPN
ejpam-314	132	25	)	)	PUNCT
ejpam-314	132	26	c	c	PROPN
ejpam-314	133	1	kl	kl	INTJ
ejpam-314	134	1	i	i	PRON
ejpam-314	134	2	j	j	PROPN
ejpam-314	134	3	(	(	PUNCT
ejpam-314	134	4	�	�	PROPN
ejpam-314	134	5	�	�	PROPN
ejpam-314	134	6	f	f	PROPN
ejpam-314	134	7	(	(	PUNCT
ejpam-314	134	8	0	0	NUM
ejpam-314	134	9	)	)	PUNCT
ejpam-314	134	10	�	�	PROPN
ejpam-314	134	11	�	�	PROPN
ejpam-314	134	12	+	+	NUM
ejpam-314	134	13	l(r0	l(r0	ADJ
ejpam-314	134	14	)	)	PUNCT
ejpam-314	135	1	|	|	ADV
ejpam-314	135	2	ϕkl(s	ϕkl(s	PROPN
ejpam-314	135	3	−τ(s	−τ(s	NOUN
ejpam-314	135	4	)	)	PUNCT
ejpam-314	135	5	)	)	PUNCT
ejpam-314	135	6	|	|	ADV
ejpam-314	135	7	)	)	PUNCT
ejpam-314	135	8	�	�	PROPN
ejpam-314	135	9	�	�	PROPN
ejpam-314	135	10	ϕi	ϕi	ADP
ejpam-314	135	11	j(s	j(s	PROPN
ejpam-314	135	12	)	)	PUNCT
ejpam-314	135	13	�	�	PROPN
ejpam-314	135	14	�	�	PROPN
ejpam-314	135	15	ds+	ds+	PROPN
ejpam-314	135	16	∑	∑	PROPN
ejpam-314	135	17	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	135	18	,	,	PUNCT
ejpam-314	135	19	j	j	NOUN
ejpam-314	136	1	)	)	PUNCT
ejpam-314	136	2	b	b	PROPN
ejpam-314	137	1	kl	kl	INTJ
ejpam-314	138	1	i	i	PRON
ejpam-314	138	2	j	j	PROPN
ejpam-314	138	3	(	(	PUNCT
ejpam-314	138	4	�	�	PROPN
ejpam-314	138	5	�	�	PROPN
ejpam-314	138	6	g(0	g(0	PROPN
ejpam-314	138	7	)	)	PUNCT
ejpam-314	138	8	�	�	PROPN
ejpam-314	138	9	�	�	PROPN
ejpam-314	138	10	+	+	NUM
ejpam-314	138	11	l(r0	l(r0	ADJ
ejpam-314	138	12	)	)	PUNCT
ejpam-314	138	13	�	�	PROPN
ejpam-314	138	14	�	�	PROPN
ejpam-314	138	15	ϕkl(s−τ(s	ϕkl(s−τ(s	NOUN
ejpam-314	138	16	)	)	PUNCT
ejpam-314	138	17	)	)	PUNCT
ejpam-314	138	18	�	�	PROPN
ejpam-314	138	19	�	�	PROPN
ejpam-314	138	20	)	)	PUNCT
ejpam-314	138	21	·	·	PUNCT
ejpam-314	138	22	∫	∫	PROPN
ejpam-314	138	23	∞	∞	PROPN
ejpam-314	138	24	0	0	NUM
ejpam-314	138	25	�	�	PROPN
ejpam-314	138	26	�	�	PROPN
ejpam-314	138	27	ki	ki	PROPN
ejpam-314	138	28	j(u	j(u	PROPN
ejpam-314	138	29	)	)	PUNCT
ejpam-314	138	30	�	�	PROPN
ejpam-314	138	31	�	�	PROPN
ejpam-314	138	32	du	du	PROPN
ejpam-314	138	33	�	�	PROPN
ejpam-314	138	34	�	�	PROPN
ejpam-314	138	35	ϕi	ϕi	ADP
ejpam-314	138	36	j(s	j(s	PROPN
ejpam-314	138	37	)	)	PUNCT
ejpam-314	138	38	�	�	PROPN
ejpam-314	138	39	�	�	PROPN
ejpam-314	138	40	ds	ds	PROPN
ejpam-314	138	41	�	�	PROPN
ejpam-314	138	42	|}+	|}+	PROPN
ejpam-314	138	43	l	l	NOUN
ejpam-314	138	44	≤	≤	NUM
ejpam-314	138	45	sup	sup	NOUN
ejpam-314	138	46	t∈r	t∈r	NOUN
ejpam-314	138	47	max	max	PROPN
ejpam-314	138	48	(	(	PUNCT
ejpam-314	138	49	i	i	PROPN
ejpam-314	138	50	,	,	PUNCT
ejpam-314	138	51	j	j	PROPN
ejpam-314	138	52	)	)	PUNCT
ejpam-314	138	53	{	{	PUNCT
ejpam-314	138	54	|	|	ADV
ejpam-314	138	55	∫	∫	PROPN
ejpam-314	138	56	t	t	PROPN
ejpam-314	138	57	−∞	−∞	ADP
ejpam-314	138	58	e−ai	e−ai	PROPN
ejpam-314	138	59	j(t−s	j(t−s	PROPN
ejpam-314	138	60	)	)	PUNCT
ejpam-314	138	61	�	�	PROPN
ejpam-314	138	62	∑	∑	PUNCT
ejpam-314	138	63	ckl∈nr	ckl∈nr	X
ejpam-314	138	64	(	(	PUNCT
ejpam-314	138	65	i	i	PROPN
ejpam-314	138	66	,	,	PUNCT
ejpam-314	138	67	j	j	PROPN
ejpam-314	138	68	)	)	PUNCT
ejpam-314	139	1	c	c	PROPN
ejpam-314	140	1	kl	kl	INTJ
ejpam-314	141	1	i	i	PRON
ejpam-314	141	2	j	j	PROPN
ejpam-314	141	3	(	(	PUNCT
ejpam-314	141	4	�	�	PROPN
ejpam-314	141	5	�	�	PROPN
ejpam-314	141	6	f	f	PROPN
ejpam-314	141	7	(	(	PUNCT
ejpam-314	141	8	0	0	NUM
ejpam-314	141	9	)	)	PUNCT
ejpam-314	141	10	�	�	PROPN
ejpam-314	141	11	�	�	PROPN
ejpam-314	141	12	+	+	PROPN
ejpam-314	141	13	l(r0)r0)r0ds	l(r0)r0)r0ds	NOUN
ejpam-314	142	1	+	+	CCONJ
ejpam-314	142	2	∑	∑	PUNCT
ejpam-314	142	3	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	142	4	,	,	PUNCT
ejpam-314	142	5	j	j	NOUN
ejpam-314	142	6	)	)	PUNCT
ejpam-314	142	7	b	b	PROPN
ejpam-314	143	1	kl	kl	INTJ
ejpam-314	144	1	i	i	PRON
ejpam-314	144	2	j	j	PROPN
ejpam-314	144	3	(	(	PUNCT
ejpam-314	144	4	�	�	PROPN
ejpam-314	144	5	�	�	PROPN
ejpam-314	144	6	g(0	g(0	PROPN
ejpam-314	144	7	)	)	PUNCT
ejpam-314	144	8	�	�	PROPN
ejpam-314	144	9	�	�	PROPN
ejpam-314	144	10	+	+	PROPN
ejpam-314	144	11	l(r0)r0)r0	l(r0)r0)r0	ADJ
ejpam-314	144	12	∫	∫	PROPN
ejpam-314	144	13	∞	∞	PROPN
ejpam-314	144	14	0	0	NUM
ejpam-314	144	15	�	�	PROPN
ejpam-314	144	16	�	�	PROPN
ejpam-314	144	17	ki	ki	PROPN
ejpam-314	144	18	j(u	j(u	PROPN
ejpam-314	144	19	)	)	PUNCT
ejpam-314	144	20	�	�	PROPN
ejpam-314	144	21	�	�	PROPN
ejpam-314	144	22	duds	duds	PROPN
ejpam-314	144	23	�	�	PROPN
ejpam-314	144	24	|}+	|}+	PROPN
ejpam-314	144	25	l	l	NOUN
ejpam-314	144	26	≤	≤	PUNCT
ejpam-314	144	27	d[f(0)r0	d[f(0)r0	SYM
ejpam-314	144	28	+	+	CCONJ
ejpam-314	144	29	l(r0)r	l(r0)r	NOUN
ejpam-314	144	30	2	2	NUM
ejpam-314	144	31	0	0	NUM
ejpam-314	144	32	]	]	PUNCT
ejpam-314	145	1	+	+	NUM
ejpam-314	145	2	l	l	NOUN
ejpam-314	145	3	≤	≤	NOUN
ejpam-314	145	4	r0	r0	NOUN
ejpam-314	145	5	.	.	PUNCT
ejpam-314	146	1	therefore	therefore	ADV
ejpam-314	146	2	,	,	PUNCT
ejpam-314	146	3	t	t	PROPN
ejpam-314	146	4	(	(	PUNCT
ejpam-314	146	5	e)⊂	e)⊂	PROPN
ejpam-314	146	6	e.	e.	PROPN
ejpam-314	146	7	taking	take	VERB
ejpam-314	146	8	ϕ,ψ	ϕ,ψ	PROPN
ejpam-314	146	9	∈	∈	PROPN
ejpam-314	146	10	e	e	NOUN
ejpam-314	146	11	,	,	PUNCT
ejpam-314	146	12	combining	combine	VERB
ejpam-314	146	13	(	(	PUNCT
ejpam-314	146	14	h2	h2	NOUN
ejpam-314	146	15	)	)	PUNCT
ejpam-314	146	16	and	and	CCONJ
ejpam-314	146	17	(	(	PUNCT
ejpam-314	146	18	h3	h3	NOUN
ejpam-314	146	19	)	)	PUNCT
ejpam-314	146	20	,	,	PUNCT
ejpam-314	146	21	we	we	PRON
ejpam-314	146	22	deduce	deduce	VERB
ejpam-314	146	23	that	that	DET
ejpam-314	146	24	t	t	PROPN
ejpam-314	146	25	(	(	PUNCT
ejpam-314	146	26	ϕ)−	ϕ)−	PROPN
ejpam-314	146	27	t	t	PROPN
ejpam-314	146	28	(	(	PUNCT
ejpam-314	146	29	ψ	ψ	NOUN
ejpam-314	146	30	)	)	PUNCT
ejpam-314	146	31	b	b	NOUN
ejpam-314	146	32	=	=	NOUN
ejpam-314	146	33	sup	sup	NOUN
ejpam-314	146	34	t∈r	t∈r	NOUN
ejpam-314	146	35	t	t	PROPN
ejpam-314	146	36	(	(	PUNCT
ejpam-314	146	37	ϕ)(t)−	ϕ)(t)−	PROPN
ejpam-314	146	38	t	t	PROPN
ejpam-314	146	39	(	(	PUNCT
ejpam-314	146	40	ψ)(t	ψ)(t	ADJ
ejpam-314	146	41	)	)	PUNCT
ejpam-314	147	1	=	=	SYM
ejpam-314	147	2	sup	sup	NOUN
ejpam-314	147	3	t∈r	t∈r	NOUN
ejpam-314	147	4	max	max	PROPN
ejpam-314	147	5	(	(	PUNCT
ejpam-314	147	6	i	i	PROPN
ejpam-314	147	7	,	,	PUNCT
ejpam-314	147	8	j	j	PROPN
ejpam-314	147	9	)	)	PUNCT
ejpam-314	147	10	{	{	PUNCT
ejpam-314	147	11	|	|	ADV
ejpam-314	147	12	∫	∫	PROPN
ejpam-314	147	13	t	t	PROPN
ejpam-314	147	14	−∞	−∞	PUNCT
ejpam-314	147	15	e−	e−	PROPN
ejpam-314	147	16	∫	∫	PROPN
ejpam-314	148	1	t	t	PROPN
ejpam-314	148	2	s	s	AUX
ejpam-314	148	3	ai	ai	VERB
ejpam-314	148	4	j(u)du	j(u)du	PROPN
ejpam-314	148	5	∑	∑	PROPN
ejpam-314	148	6	ckl∈nr	ckl∈nr	X
ejpam-314	148	7	(	(	PUNCT
ejpam-314	148	8	i	i	PROPN
ejpam-314	148	9	,	,	PUNCT
ejpam-314	148	10	j	j	PROPN
ejpam-314	148	11	)	)	PUNCT
ejpam-314	148	12	−c	−c	NOUN
ejpam-314	149	1	kl	kl	INTJ
ejpam-314	150	1	i	i	PRON
ejpam-314	150	2	j	j	PROPN
ejpam-314	150	3	(	(	PUNCT
ejpam-314	150	4	s	s	NOUN
ejpam-314	150	5	)	)	PUNCT
ejpam-314	150	6	�	�	PROPN
ejpam-314	150	7	f	f	PROPN
ejpam-314	150	8	(	(	PUNCT
ejpam-314	150	9	ϕkl(s−τ(s)))ϕi	ϕkl(s−τ(s)))ϕi	PROPN
ejpam-314	150	10	j(s	j(s	NOUN
ejpam-314	150	11	)	)	PUNCT
ejpam-314	151	1	−	−	PROPN
ejpam-314	151	2	f	f	X
ejpam-314	151	3	(	(	PUNCT
ejpam-314	151	4	ψkl(s−τ(s)))ψi	ψkl(s−τ(s)))ψi	PROPN
ejpam-314	151	5	j(s	j(s	PROPN
ejpam-314	151	6	)	)	PUNCT
ejpam-314	151	7	�	�	PROPN
ejpam-314	152	1	ds	ds	NOUN
ejpam-314	152	2	|+	|+	NOUN
ejpam-314	153	1	|	|	ADV
ejpam-314	153	2	∫	∫	PROPN
ejpam-314	153	3	t	t	PROPN
ejpam-314	153	4	−∞	−∞	PUNCT
ejpam-314	153	5	e−	e−	PROPN
ejpam-314	153	6	∫	∫	PROPN
ejpam-314	154	1	t	t	PROPN
ejpam-314	154	2	s	s	AUX
ejpam-314	154	3	ai	ai	VERB
ejpam-314	154	4	j(u)du	j(u)du	PROPN
ejpam-314	154	5	∑	∑	PROPN
ejpam-314	154	6	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	154	7	,	,	PUNCT
ejpam-314	154	8	j	j	NOUN
ejpam-314	154	9	)	)	PUNCT
ejpam-314	154	10	−bkl	−bkl	VERB
ejpam-314	155	1	i	i	PRON
ejpam-314	155	2	j	j	X
ejpam-314	155	3	(	(	PUNCT
ejpam-314	155	4	s	s	NOUN
ejpam-314	155	5	)	)	PUNCT
ejpam-314	155	6	·	·	PUNCT
ejpam-314	155	7	∫	∫	PROPN
ejpam-314	156	1	∞	∞	PROPN
ejpam-314	156	2	0	0	NUM
ejpam-314	157	1	ki	ki	PROPN
ejpam-314	157	2	j(u	j(u	PROPN
ejpam-314	157	3	)	)	PUNCT
ejpam-314	157	4	�	�	PROPN
ejpam-314	157	5	g(ϕkl(s−	g(ϕkl(s−	PROPN
ejpam-314	157	6	u))duϕi	u))duϕi	PROPN
ejpam-314	158	1	j(s)−	j(s)−	PROPN
ejpam-314	158	2	g(ψkl(s−	g(ψkl(s−	PROPN
ejpam-314	158	3	u))duψi	u))duψi	PROPN
ejpam-314	158	4	j(s	j(s	PROPN
ejpam-314	158	5	)	)	PUNCT
ejpam-314	158	6	�	�	PROPN
ejpam-314	158	7	ds	ds	ADJ
ejpam-314	158	8	|	|	NOUN
ejpam-314	158	9	}	}	PUNCT
ejpam-314	158	10	≤	≤	NUM
ejpam-314	158	11	sup	sup	NOUN
ejpam-314	158	12	t∈r	t∈r	NOUN
ejpam-314	158	13	max	max	PROPN
ejpam-314	158	14	(	(	PUNCT
ejpam-314	158	15	i	i	PROPN
ejpam-314	158	16	,	,	PUNCT
ejpam-314	158	17	j	j	PROPN
ejpam-314	158	18	)	)	PUNCT
ejpam-314	158	19	{	{	PUNCT
ejpam-314	158	20	∫	∫	PROPN
ejpam-314	158	21	t	t	PROPN
ejpam-314	158	22	−∞	−∞	ADP
ejpam-314	158	23	e−ai	e−ai	PROPN
ejpam-314	158	24	j(t−s	j(t−s	PROPN
ejpam-314	158	25	)	)	PUNCT
ejpam-314	158	26	∑	∑	PUNCT
ejpam-314	158	27	ckl∈nr	ckl∈nr	X
ejpam-314	158	28	(	(	PUNCT
ejpam-314	158	29	i	i	PROPN
ejpam-314	158	30	,	,	PUNCT
ejpam-314	158	31	j	j	PROPN
ejpam-314	158	32	)	)	PUNCT
ejpam-314	158	33	c	c	PROPN
ejpam-314	159	1	kl	kl	INTJ
ejpam-314	160	1	i	i	INTJ
ejpam-314	160	2	j	j	PROPN
ejpam-314	161	1	|	|	ADV
ejpam-314	161	2	f	f	PROPN
ejpam-314	161	3	(	(	PUNCT
ejpam-314	161	4	ϕkl(s−	ϕkl(s−	PROPN
ejpam-314	161	5	τ(s	τ(s	PROPN
ejpam-314	161	6	)	)	PUNCT
ejpam-314	161	7	)	)	PUNCT
ejpam-314	161	8	)	)	PUNCT
ejpam-314	161	9	||	||	CCONJ
ejpam-314	162	1	ϕi	ϕi	ADP
ejpam-314	162	2	j(s)−ψi	j(s)−ψi	PROPN
ejpam-314	162	3	j(s	j(s	PROPN
ejpam-314	162	4	)	)	PUNCT
ejpam-314	162	5	|	|	CCONJ
ejpam-314	162	6	ds	ds	ADJ
ejpam-314	162	7	}	}	PUNCT
ejpam-314	162	8	a.	a.	NOUN
ejpam-314	162	9	wu	wu	PROPN
ejpam-314	162	10	and	and	CCONJ
ejpam-314	162	11	c.	c.	PROPN
ejpam-314	162	12	fu	fu	PROPN
ejpam-314	162	13	/	/	SYM
ejpam-314	162	14	eur	eur	PROPN
ejpam-314	162	15	.	.	PUNCT
ejpam-314	163	1	j.	j.	PROPN
ejpam-314	163	2	pure	pure	PROPN
ejpam-314	163	3	appl	appl	PROPN
ejpam-314	163	4	.	.	PROPN
ejpam-314	163	5	math	math	PROPN
ejpam-314	163	6	,	,	PUNCT
ejpam-314	163	7	2	2	NUM
ejpam-314	163	8	(	(	PUNCT
ejpam-314	163	9	2009	2009	NUM
ejpam-314	163	10	)	)	PUNCT
ejpam-314	163	11	,	,	PUNCT
ejpam-314	163	12	(	(	PUNCT
ejpam-314	163	13	448	448	NUM
ejpam-314	163	14	-	-	SYM
ejpam-314	163	15	461	461	NUM
ejpam-314	163	16	)	)	PUNCT
ejpam-314	163	17	454	454	NUM
ejpam-314	164	1	+	+	CCONJ
ejpam-314	164	2	sup	sup	NOUN
ejpam-314	164	3	t∈r	t∈r	NOUN
ejpam-314	164	4	max	max	PROPN
ejpam-314	164	5	(	(	PUNCT
ejpam-314	164	6	i	i	PROPN
ejpam-314	164	7	,	,	PUNCT
ejpam-314	164	8	j	j	PROPN
ejpam-314	164	9	)	)	PUNCT
ejpam-314	164	10	{	{	PUNCT
ejpam-314	164	11	∫	∫	PROPN
ejpam-314	164	12	t	t	PROPN
ejpam-314	164	13	−∞	−∞	ADP
ejpam-314	164	14	e−ai	e−ai	PROPN
ejpam-314	164	15	j(t−s	j(t−s	PROPN
ejpam-314	164	16	)	)	PUNCT
ejpam-314	164	17	∑	∑	PUNCT
ejpam-314	164	18	ckl∈nr(i	ckl∈nr(i	PROPN
ejpam-314	164	19	,	,	PUNCT
ejpam-314	164	20	j	j	NOUN
ejpam-314	164	21	)	)	PUNCT
ejpam-314	164	22	c	c	PROPN
ejpam-314	165	1	kl	kl	INTJ
ejpam-314	166	1	i	i	INTJ
ejpam-314	166	2	j	j	PROPN
ejpam-314	167	1	|	|	ADV
ejpam-314	167	2	f	f	PROPN
ejpam-314	167	3	(	(	PUNCT
ejpam-314	167	4	ϕkl(s−τ(s)))−	ϕkl(s−τ(s)))−	PROPN
ejpam-314	167	5	f	f	PROPN
ejpam-314	167	6	(	(	PUNCT
ejpam-314	167	7	ψkl(s	ψkl(s	PROPN
ejpam-314	167	8	−τ(s	−τ(s	NOUN
ejpam-314	167	9	)	)	PUNCT
ejpam-314	167	10	)	)	PUNCT
ejpam-314	167	11	)	)	PUNCT
ejpam-314	168	1	|	|	ADV
ejpam-314	168	2	·	·	PUNCT
ejpam-314	168	3	|ψi	|ψi	X
ejpam-314	168	4	j(s	j(s	NOUN
ejpam-314	168	5	)	)	PUNCT
ejpam-314	169	1	|	|	ADV
ejpam-314	169	2	ds}+	ds}+	VERB
ejpam-314	169	3	sup	sup	NOUN
ejpam-314	169	4	t∈r	t∈r	NOUN
ejpam-314	169	5	max	max	PROPN
ejpam-314	169	6	(	(	PUNCT
ejpam-314	169	7	i	i	PROPN
ejpam-314	169	8	,	,	PUNCT
ejpam-314	169	9	j	j	PROPN
ejpam-314	169	10	)	)	PUNCT
ejpam-314	169	11	{	{	PUNCT
ejpam-314	169	12	∫	∫	PROPN
ejpam-314	169	13	t	t	PROPN
ejpam-314	169	14	−∞	−∞	ADP
ejpam-314	169	15	e−ai	e−ai	PROPN
ejpam-314	169	16	j(t−s	j(t−s	PROPN
ejpam-314	169	17	)	)	PUNCT
ejpam-314	169	18	∑	∑	PUNCT
ejpam-314	169	19	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	169	20	,	,	PUNCT
ejpam-314	169	21	j	j	NOUN
ejpam-314	169	22	)	)	PUNCT
ejpam-314	169	23	b	b	PROPN
ejpam-314	170	1	kl	kl	INTJ
ejpam-314	171	1	i	i	PRON
ejpam-314	171	2	j	j	PROPN
ejpam-314	171	3	·	·	PUNCT
ejpam-314	171	4	∫	∫	PROPN
ejpam-314	172	1	∞	∞	NOUN
ejpam-314	172	2	0	0	NUM
ejpam-314	173	1	|	|	ADV
ejpam-314	173	2	ki	ki	PROPN
ejpam-314	173	3	j(u)g(ϕkl(s−	j(u)g(ϕkl(s−	VERB
ejpam-314	173	4	u))du	u))du	PROPN
ejpam-314	174	1	|	|	CCONJ
ejpam-314	174	2	·	·	PUNCT
ejpam-314	175	1	|	|	ADV
ejpam-314	175	2	ϕi	ϕi	ADP
ejpam-314	175	3	j(s)−ψi	j(s)−ψi	PROPN
ejpam-314	175	4	j(s	j(s	PROPN
ejpam-314	175	5	)	)	PUNCT
ejpam-314	175	6	|	|	ADV
ejpam-314	175	7	ds	ds	ADJ
ejpam-314	175	8	}	}	PUNCT
ejpam-314	175	9	+	+	CCONJ
ejpam-314	175	10	sup	sup	NUM
ejpam-314	175	11	t∈r	t∈r	PROPN
ejpam-314	175	12	max	max	PROPN
ejpam-314	175	13	(	(	PUNCT
ejpam-314	175	14	i	i	PROPN
ejpam-314	175	15	,	,	PUNCT
ejpam-314	175	16	j	j	PROPN
ejpam-314	175	17	)	)	PUNCT
ejpam-314	175	18	{	{	PUNCT
ejpam-314	175	19	∫	∫	PROPN
ejpam-314	175	20	t	t	PROPN
ejpam-314	175	21	−∞	−∞	ADP
ejpam-314	175	22	e−ai	e−ai	PROPN
ejpam-314	175	23	j(t−s	j(t−s	PROPN
ejpam-314	175	24	)	)	PUNCT
ejpam-314	175	25	∑	∑	PUNCT
ejpam-314	175	26	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	175	27	,	,	PUNCT
ejpam-314	175	28	j	j	NOUN
ejpam-314	175	29	)	)	PUNCT
ejpam-314	175	30	b	b	PROPN
ejpam-314	175	31	kl	kl	INTJ
ejpam-314	176	1	i	i	INTJ
ejpam-314	176	2	j	j	PROPN
ejpam-314	177	1	∫	∫	PROPN
ejpam-314	177	2	∞	∞	PROPN
ejpam-314	177	3	0	0	NUM
ejpam-314	178	1	|	|	ADV
ejpam-314	178	2	ki	ki	PROPN
ejpam-314	178	3	j(u	j(u	PROPN
ejpam-314	178	4	)	)	PUNCT
ejpam-314	178	5	�	�	PROPN
ejpam-314	178	6	g(ϕkl(s−	g(ϕkl(s−	NOUN
ejpam-314	178	7	u	u	NOUN
ejpam-314	178	8	)	)	PUNCT
ejpam-314	178	9	)	)	PUNCT
ejpam-314	179	1	−	−	PROPN
ejpam-314	179	2	g(ψkl(s−	g(ψkl(s−	X
ejpam-314	179	3	u	u	NOUN
ejpam-314	179	4	)	)	PUNCT
ejpam-314	179	5	)	)	PUNCT
ejpam-314	179	6	�	�	PROPN
ejpam-314	179	7	du	du	PROPN
ejpam-314	179	8	|	|	ADV
ejpam-314	179	9	·	·	PUNCT
ejpam-314	180	1	|ψi	|ψi	X
ejpam-314	180	2	j(s	j(s	X
ejpam-314	180	3	)	)	PUNCT
ejpam-314	180	4	|	|	CCONJ
ejpam-314	180	5	ds	ds	X
ejpam-314	180	6	}	}	PUNCT
ejpam-314	180	7	≤	≤	NUM
ejpam-314	180	8	sup	sup	NOUN
ejpam-314	180	9	t∈r	t∈r	NOUN
ejpam-314	180	10	max	max	PROPN
ejpam-314	180	11	(	(	PUNCT
ejpam-314	180	12	i	i	PROPN
ejpam-314	180	13	,	,	PUNCT
ejpam-314	180	14	j	j	PROPN
ejpam-314	180	15	)	)	PUNCT
ejpam-314	180	16	{	{	PUNCT
ejpam-314	180	17	∫	∫	PROPN
ejpam-314	180	18	t	t	PROPN
ejpam-314	180	19	−∞	−∞	ADP
ejpam-314	180	20	e−ai	e−ai	PROPN
ejpam-314	180	21	j(t−s	j(t−s	PROPN
ejpam-314	180	22	)	)	PUNCT
ejpam-314	180	23	∑	∑	PUNCT
ejpam-314	180	24	ckl∈nr	ckl∈nr	X
ejpam-314	180	25	(	(	PUNCT
ejpam-314	180	26	i	i	PROPN
ejpam-314	180	27	,	,	PUNCT
ejpam-314	180	28	j	j	PROPN
ejpam-314	180	29	)	)	PUNCT
ejpam-314	180	30	c	c	PROPN
ejpam-314	181	1	kl	kl	INTJ
ejpam-314	182	1	i	i	PRON
ejpam-314	182	2	j	j	PROPN
ejpam-314	182	3	(	(	PUNCT
ejpam-314	182	4	�	�	PROPN
ejpam-314	182	5	�	�	PROPN
ejpam-314	182	6	f	f	PROPN
ejpam-314	182	7	(	(	PUNCT
ejpam-314	182	8	0	0	NUM
ejpam-314	182	9	)	)	PUNCT
ejpam-314	182	10	�	�	PROPN
ejpam-314	182	11	�	�	PROPN
ejpam-314	182	12	+	+	SYM
ejpam-314	182	13	l(r0)r0)ds	l(r0)r0)ds	PROPN
ejpam-314	182	14	}	}	PUNCT
ejpam-314	182	15	·	·	PUNCT
ejpam-314	183	1	ϕ−ψ	ϕ−ψ	NUM
ejpam-314	183	2	b	b	X
ejpam-314	183	3	+	+	CCONJ
ejpam-314	183	4	sup	sup	NOUN
ejpam-314	183	5	t∈r	t∈r	NOUN
ejpam-314	183	6	max	max	PROPN
ejpam-314	183	7	(	(	PUNCT
ejpam-314	183	8	i	i	PROPN
ejpam-314	183	9	,	,	PUNCT
ejpam-314	183	10	j	j	PROPN
ejpam-314	183	11	)	)	PUNCT
ejpam-314	183	12	{	{	PUNCT
ejpam-314	183	13	∫	∫	PROPN
ejpam-314	183	14	t	t	PROPN
ejpam-314	183	15	−∞	−∞	ADP
ejpam-314	183	16	e−ai	e−ai	PROPN
ejpam-314	183	17	j(t−s	j(t−s	PROPN
ejpam-314	183	18	)	)	PUNCT
ejpam-314	183	19	∑	∑	PUNCT
ejpam-314	183	20	ckl∈nr(i	ckl∈nr(i	PROPN
ejpam-314	183	21	,	,	PUNCT
ejpam-314	183	22	j	j	NOUN
ejpam-314	183	23	)	)	PUNCT
ejpam-314	183	24	c	c	X
ejpam-314	183	25	kl	kl	INTJ
ejpam-314	184	1	i	i	PRON
ejpam-314	184	2	j	j	PROPN
ejpam-314	184	3	l(r0)r0ds	l(r0)r0ds	PROPN
ejpam-314	184	4	}	}	PUNCT
ejpam-314	184	5	·	·	PUNCT
ejpam-314	185	1	ϕ−ψ	ϕ−ψ	NUM
ejpam-314	185	2	b	b	X
ejpam-314	185	3	+	+	CCONJ
ejpam-314	185	4	sup	sup	NOUN
ejpam-314	185	5	t∈r	t∈r	NOUN
ejpam-314	185	6	max	max	PROPN
ejpam-314	185	7	(	(	PUNCT
ejpam-314	185	8	i	i	PROPN
ejpam-314	185	9	,	,	PUNCT
ejpam-314	185	10	j	j	PROPN
ejpam-314	185	11	)	)	PUNCT
ejpam-314	185	12	{	{	PUNCT
ejpam-314	185	13	∫	∫	PROPN
ejpam-314	185	14	t	t	PROPN
ejpam-314	185	15	−∞	−∞	ADP
ejpam-314	185	16	e−ai	e−ai	PROPN
ejpam-314	185	17	j(t−s	j(t−s	PROPN
ejpam-314	185	18	)	)	PUNCT
ejpam-314	185	19	∑	∑	PUNCT
ejpam-314	185	20	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	185	21	,	,	PUNCT
ejpam-314	185	22	j	j	NOUN
ejpam-314	185	23	)	)	PUNCT
ejpam-314	185	24	b	b	PROPN
ejpam-314	186	1	kl	kl	INTJ
ejpam-314	187	1	i	i	PRON
ejpam-314	187	2	j	j	PROPN
ejpam-314	187	3	(	(	PUNCT
ejpam-314	187	4	�	�	PROPN
ejpam-314	187	5	�	�	PROPN
ejpam-314	187	6	g(0	g(0	PROPN
ejpam-314	187	7	)	)	PUNCT
ejpam-314	187	8	�	�	PROPN
ejpam-314	187	9	�	�	PROPN
ejpam-314	187	10	+	+	PROPN
ejpam-314	187	11	l(r0)r0	l(r0)r0	PROPN
ejpam-314	187	12	)	)	PUNCT
ejpam-314	187	13	∫	∫	PROPN
ejpam-314	187	14	∞	∞	PROPN
ejpam-314	187	15	0	0	NUM
ejpam-314	187	16	�	�	PROPN
ejpam-314	187	17	�	�	PROPN
ejpam-314	187	18	ki	ki	PROPN
ejpam-314	187	19	j(u	j(u	PROPN
ejpam-314	187	20	)	)	PUNCT
ejpam-314	187	21	�	�	PROPN
ejpam-314	187	22	�	�	PROPN
ejpam-314	187	23	duds	duds	ADV
ejpam-314	187	24	}	}	PUNCT
ejpam-314	187	25	·	·	PUNCT
ejpam-314	188	1	ϕ−ψ	ϕ−ψ	NUM
ejpam-314	188	2	b	b	X
ejpam-314	188	3	+	+	CCONJ
ejpam-314	188	4	sup	sup	NOUN
ejpam-314	188	5	t∈r	t∈r	NOUN
ejpam-314	188	6	max	max	PROPN
ejpam-314	188	7	(	(	PUNCT
ejpam-314	188	8	i	i	PROPN
ejpam-314	188	9	,	,	PUNCT
ejpam-314	188	10	j	j	PROPN
ejpam-314	188	11	)	)	PUNCT
ejpam-314	188	12	{	{	PUNCT
ejpam-314	188	13	∫	∫	PROPN
ejpam-314	188	14	t	t	PROPN
ejpam-314	188	15	−∞	−∞	ADP
ejpam-314	188	16	e−ai	e−ai	PROPN
ejpam-314	188	17	j(t−s	j(t−s	PROPN
ejpam-314	188	18	)	)	PUNCT
ejpam-314	188	19	∑	∑	PUNCT
ejpam-314	188	20	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	188	21	,	,	PUNCT
ejpam-314	188	22	j	j	NOUN
ejpam-314	188	23	)	)	PUNCT
ejpam-314	188	24	b	b	PROPN
ejpam-314	189	1	kl	kl	INTJ
ejpam-314	190	1	i	i	PRON
ejpam-314	190	2	j	j	PROPN
ejpam-314	190	3	l(r0)r0	l(r0)r0	PROPN
ejpam-314	190	4	∫	∫	PROPN
ejpam-314	190	5	∞	∞	PROPN
ejpam-314	190	6	0	0	PROPN
ejpam-314	190	7	�	�	PROPN
ejpam-314	190	8	�	�	PROPN
ejpam-314	190	9	ki	ki	PROPN
ejpam-314	190	10	j(u	j(u	PROPN
ejpam-314	190	11	)	)	PUNCT
ejpam-314	190	12	�	�	PROPN
ejpam-314	190	13	�	�	PROPN
ejpam-314	190	14	duds	duds	ADV
ejpam-314	190	15	}	}	PUNCT
ejpam-314	190	16	·	·	PUNCT
ejpam-314	191	1	ϕ−ψ	ϕ−ψ	NUM
ejpam-314	191	2	b	b	X
ejpam-314	191	3	≤	≤	NUM
ejpam-314	191	4	d(f(0	d(f(0	PROPN
ejpam-314	191	5	)	)	PUNCT
ejpam-314	192	1	+	+	SYM
ejpam-314	192	2	l(r0)r0	l(r0)r0	NOUN
ejpam-314	192	3	)	)	PUNCT
ejpam-314	192	4	·	·	PUNCT
ejpam-314	193	1	ϕ−ψ	ϕ−ψ	NUM
ejpam-314	193	2	b	b	X
ejpam-314	193	3	+	+	CCONJ
ejpam-314	193	4	dl(r0)r0	dl(r0)r0	NOUN
ejpam-314	193	5	·	·	PUNCT
ejpam-314	194	1	ϕ−ψ	ϕ−ψ	NUM
ejpam-314	194	2	b	b	X
ejpam-314	194	3	≤	≤	X
ejpam-314	195	1	[	[	X
ejpam-314	195	2	df(0	df(0	NOUN
ejpam-314	195	3	)	)	PUNCT
ejpam-314	196	1	+	+	X
ejpam-314	196	2	2dl(r0)r0	2dl(r0)r0	NOUN
ejpam-314	196	3	]	]	PUNCT
ejpam-314	196	4	·	·	PUNCT
ejpam-314	197	1	ϕ−ψ	ϕ−ψ	NUM
ejpam-314	197	2	b	b	X
ejpam-314	197	3	<	<	X
ejpam-314	197	4	ϕ−ψ	ϕ−ψ	PROPN
ejpam-314	197	5	b	b	NOUN
ejpam-314	198	1	so	so	ADV
ejpam-314	198	2	t	t	PROPN
ejpam-314	198	3	is	be	AUX
ejpam-314	198	4	a	a	DET
ejpam-314	198	5	contraction	contraction	NOUN
ejpam-314	198	6	from	from	ADP
ejpam-314	198	7	e	e	PROPN
ejpam-314	198	8	to	to	ADP
ejpam-314	198	9	e.	e.	PROPN
ejpam-314	198	10	since	since	SCONJ
ejpam-314	198	11	e	e	PROPN
ejpam-314	198	12	is	be	AUX
ejpam-314	198	13	a	a	DET
ejpam-314	198	14	closed	closed	ADJ
ejpam-314	198	15	subset	subset	NOUN
ejpam-314	198	16	of	of	ADP
ejpam-314	198	17	b	b	PROPN
ejpam-314	198	18	,	,	PUNCT
ejpam-314	198	19	t	t	PROPN
ejpam-314	198	20	has	have	VERB
ejpam-314	198	21	a	a	DET
ejpam-314	198	22	unique	unique	ADJ
ejpam-314	198	23	fixed	fix	VERB
ejpam-314	198	24	point	point	NOUN
ejpam-314	198	25	in	in	ADP
ejpam-314	198	26	e	e	NOUN
ejpam-314	198	27	,	,	PUNCT
ejpam-314	198	28	which	which	PRON
ejpam-314	198	29	means	mean	VERB
ejpam-314	198	30	system	system	NOUN
ejpam-314	198	31	(	(	PUNCT
ejpam-314	198	32	1.1	1.1	NUM
ejpam-314	198	33	)	)	PUNCT
ejpam-314	198	34	has	have	VERB
ejpam-314	198	35	a	a	DET
ejpam-314	198	36	unique	unique	ADJ
ejpam-314	198	37	almost	almost	ADV
ejpam-314	198	38	periodic	periodic	ADJ
ejpam-314	198	39	solution	solution	NOUN
ejpam-314	198	40	in	in	ADP
ejpam-314	198	41	e.	e.	PROPN
ejpam-314	198	42	3	3	PROPN
ejpam-314	198	43	.	.	PUNCT
ejpam-314	198	44	exponential	exponential	ADJ
ejpam-314	198	45	stability	stability	NOUN
ejpam-314	198	46	of	of	ADP
ejpam-314	198	47	the	the	DET
ejpam-314	198	48	almost	almost	ADV
ejpam-314	198	49	periodic	periodic	ADJ
ejpam-314	198	50	solution	solution	NOUN
ejpam-314	198	51	theorem	theorem	VERB
ejpam-314	198	52	3.1	3.1	NUM
ejpam-314	198	53	.	.	PUNCT
ejpam-314	199	1	suppose	suppose	VERB
ejpam-314	199	2	(	(	PUNCT
ejpam-314	199	3	h1	h1	PROPN
ejpam-314	199	4	)	)	PUNCT
ejpam-314	199	5	−	−	PROPN
ejpam-314	200	1	(	(	PUNCT
ejpam-314	200	2	h3	h3	NOUN
ejpam-314	200	3	)	)	PUNCT
ejpam-314	200	4	hold	hold	VERB
ejpam-314	200	5	,	,	PUNCT
ejpam-314	200	6	let	let	VERB
ejpam-314	200	7	x∗(t	x∗(t	NOUN
ejpam-314	200	8	)	)	PUNCT
ejpam-314	201	1	=	=	SYM
ejpam-314	202	1	n	n	X
ejpam-314	202	2	x∗	x∗	X
ejpam-314	203	1	i	i	PRON
ejpam-314	203	2	j	j	PROPN
ejpam-314	203	3	(	(	PUNCT
ejpam-314	203	4	t	t	PROPN
ejpam-314	203	5	)	)	PUNCT
ejpam-314	203	6	o	o	NOUN
ejpam-314	203	7	be	be	AUX
ejpam-314	203	8	the	the	DET
ejpam-314	203	9	unique	unique	ADJ
ejpam-314	203	10	almost	almost	ADV
ejpam-314	203	11	periodic	periodic	ADJ
ejpam-314	203	12	solution	solution	NOUN
ejpam-314	203	13	of	of	ADP
ejpam-314	203	14	sicnns	sicnn	NOUN
ejpam-314	203	15	(	(	PUNCT
ejpam-314	203	16	1.1	1.1	NUM
ejpam-314	203	17	)	)	PUNCT
ejpam-314	203	18	in	in	ADP
ejpam-314	203	19	the	the	DET
ejpam-314	203	20	region	region	NOUN
ejpam-314	203	21	ϕ	ϕ	PROPN
ejpam-314	203	22	b	b	PROPN
ejpam-314	203	23	≤	≤	NUM
ejpam-314	203	24	r0	r0	NOUN
ejpam-314	203	25	.	.	PUNCT
ejpam-314	204	1	further	far	ADV
ejpam-314	204	2	we	we	PRON
ejpam-314	204	3	assume	assume	VERB
ejpam-314	204	4	that	that	SCONJ
ejpam-314	204	5	a.	a.	PROPN
ejpam-314	204	6	wu	wu	PROPN
ejpam-314	204	7	and	and	CCONJ
ejpam-314	204	8	c.	c.	PROPN
ejpam-314	204	9	fu	fu	PROPN
ejpam-314	204	10	/	/	SYM
ejpam-314	204	11	eur	eur	PROPN
ejpam-314	204	12	.	.	PUNCT
ejpam-314	205	1	j.	j.	PROPN
ejpam-314	205	2	pure	pure	PROPN
ejpam-314	205	3	appl	appl	PROPN
ejpam-314	205	4	.	.	PROPN
ejpam-314	205	5	math	math	PROPN
ejpam-314	205	6	,	,	PUNCT
ejpam-314	205	7	2	2	NUM
ejpam-314	205	8	(	(	PUNCT
ejpam-314	205	9	2009	2009	NUM
ejpam-314	205	10	)	)	PUNCT
ejpam-314	205	11	,	,	PUNCT
ejpam-314	205	12	(	(	PUNCT
ejpam-314	205	13	448	448	NUM
ejpam-314	205	14	-	-	SYM
ejpam-314	205	15	461	461	NUM
ejpam-314	205	16	)	)	PUNCT
ejpam-314	205	17	455	455	NUM
ejpam-314	205	18	(	(	PUNCT
ejpam-314	205	19	h4	h4	PROPN
ejpam-314	205	20	)	)	PUNCT
ejpam-314	205	21	there	there	PRON
ejpam-314	205	22	exists	exist	VERB
ejpam-314	205	23	a	a	DET
ejpam-314	205	24	constant	constant	ADJ
ejpam-314	205	25	r1	r1	NOUN
ejpam-314	205	26	≥	≥	NUM
ejpam-314	205	27	r0	r0	NOUN
ejpam-314	205	28	such	such	ADJ
ejpam-314	205	29	that	that	DET
ejpam-314	205	30	f(0	f(0	NOUN
ejpam-314	205	31	)	)	PUNCT
ejpam-314	206	1	+	+	CCONJ
ejpam-314	206	2	l(r0)r0	l(r0)r0	NOUN
ejpam-314	206	3	+	+	CCONJ
ejpam-314	206	4	l(r1)r1	l(r1)r1	NOUN
ejpam-314	206	5	<	<	X
ejpam-314	206	6	1	1	NUM
ejpam-314	206	7	d	d	NOUN
ejpam-314	206	8	,	,	PUNCT
ejpam-314	206	9	where	where	SCONJ
ejpam-314	206	10	f(0	f(0	NOUN
ejpam-314	206	11	)	)	PUNCT
ejpam-314	206	12	=	=	NUM
ejpam-314	206	13	max	max	PROPN
ejpam-314	206	14	¦	¦	PROPN
ejpam-314	206	15	�	�	PROPN
ejpam-314	206	16	�	�	PROPN
ejpam-314	206	17	f	f	PROPN
ejpam-314	206	18	(	(	PUNCT
ejpam-314	206	19	0	0	NUM
ejpam-314	206	20	)	)	PUNCT
ejpam-314	206	21	�	�	PROPN
ejpam-314	206	22	�	�	PROPN
ejpam-314	206	23	,	,	PUNCT
ejpam-314	206	24	�	�	PROPN
ejpam-314	206	25	�	�	PROPN
ejpam-314	206	26	g(0	g(0	PROPN
ejpam-314	206	27	)	)	PUNCT
ejpam-314	206	28	�	�	PROPN
ejpam-314	206	29	�	�	PROPN
ejpam-314	206	30	©	©	PROPN
ejpam-314	206	31	;	;	PUNCT
ejpam-314	206	32	(	(	PUNCT
ejpam-314	206	33	h5	h5	PROPN
ejpam-314	206	34	)	)	PUNCT
ejpam-314	206	35	for	for	ADP
ejpam-314	206	36	i	i	PROPN
ejpam-314	206	37	=	=	NOUN
ejpam-314	206	38	1	1	NUM
ejpam-314	206	39	,	,	PUNCT
ejpam-314	206	40	·	·	PUNCT
ejpam-314	206	41	·	·	PUNCT
ejpam-314	206	42	·	·	PUNCT
ejpam-314	206	43	,	,	PUNCT
ejpam-314	206	44	m	m	PROPN
ejpam-314	206	45	,	,	PUNCT
ejpam-314	206	46	j	j	PROPN
ejpam-314	206	47	=	=	SYM
ejpam-314	206	48	1	1	NUM
ejpam-314	206	49	,	,	PUNCT
ejpam-314	206	50	·	·	PUNCT
ejpam-314	206	51	·	·	PUNCT
ejpam-314	206	52	·	·	PUNCT
ejpam-314	206	53	,	,	PUNCT
ejpam-314	206	54	n	n	CCONJ
ejpam-314	206	55	,	,	PUNCT
ejpam-314	206	56	there	there	PRON
ejpam-314	206	57	exists	exist	VERB
ejpam-314	206	58	a	a	DET
ejpam-314	206	59	constant	constant	ADJ
ejpam-314	206	60	λ0	λ0	NOUN
ejpam-314	206	61	>	>	X
ejpam-314	206	62	0	0	NUM
ejpam-314	206	63	such	such	ADJ
ejpam-314	206	64	that	that	DET
ejpam-314	206	65	∫	∫	PROPN
ejpam-314	206	66	∞	∞	PROPN
ejpam-314	206	67	0	0	PROPN
ejpam-314	206	68	�	�	PROPN
ejpam-314	206	69	�	�	PROPN
ejpam-314	206	70	ki	ki	PROPN
ejpam-314	206	71	j(s	j(s	PROPN
ejpam-314	206	72	)	)	PUNCT
ejpam-314	206	73	�	�	PROPN
ejpam-314	206	74	�	�	PROPN
ejpam-314	206	75	eλ0sds	eλ0sds	PROPN
ejpam-314	206	76	<	<	X
ejpam-314	206	77	+	+	PROPN
ejpam-314	206	78	∞.	∞.	PROPN
ejpam-314	206	79	then	then	ADV
ejpam-314	206	80	there	there	PRON
ejpam-314	206	81	exists	exist	VERB
ejpam-314	206	82	a	a	DET
ejpam-314	206	83	constant	constant	ADJ
ejpam-314	206	84	λ	λ	NOUN
ejpam-314	206	85	>	>	X
ejpam-314	206	86	0	0	NUM
ejpam-314	206	87	such	such	ADJ
ejpam-314	206	88	that	that	PRON
ejpam-314	206	89	for	for	ADP
ejpam-314	206	90	any	any	DET
ejpam-314	206	91	solution	solution	NOUN
ejpam-314	206	92	x(t	x(t	PROPN
ejpam-314	206	93	)	)	PUNCT
ejpam-314	207	1	=	=	SYM
ejpam-314	207	2	¦	¦	NOUN
ejpam-314	207	3	x	x	PUNCT
ejpam-314	207	4	i	i	PRON
ejpam-314	207	5	j(t	j(t	PROPN
ejpam-314	207	6	)	)	PUNCT
ejpam-314	208	1	©	©	PROPN
ejpam-314	208	2	of	of	ADP
ejpam-314	208	3	sicnns	sicnn	NOUN
ejpam-314	208	4	(	(	PUNCT
ejpam-314	208	5	1.1	1.1	NUM
ejpam-314	208	6	)	)	PUNCT
ejpam-314	208	7	with	with	ADP
ejpam-314	208	8	initial	initial	ADJ
ejpam-314	208	9	value	value	NOUN
ejpam-314	208	10	sup	sup	NOUN
ejpam-314	208	11	t∈(−∞,0	t∈(−∞,0	NOUN
ejpam-314	208	12	]	]	X
ejpam-314	208	13	ϕ(t	ϕ(t	NUM
ejpam-314	208	14	)	)	PUNCT
ejpam-314	208	15	≤	≤	NUM
ejpam-314	208	16	r1	r1	PROPN
ejpam-314	208	17	,	,	PUNCT
ejpam-314	208	18	‖x(t)−	‖x(t)−	PROPN
ejpam-314	208	19	x∗(t)‖	x∗(t)‖	NUM
ejpam-314	208	20	≤	≤	NUM
ejpam-314	208	21	me−λt	me−λt	NOUN
ejpam-314	208	22	,	,	PUNCT
ejpam-314	208	23	∀t	∀t	PROPN
ejpam-314	208	24	>	>	X
ejpam-314	208	25	0	0	NUM
ejpam-314	208	26	,	,	PUNCT
ejpam-314	208	27	where	where	SCONJ
ejpam-314	208	28	m	m	VERB
ejpam-314	208	29	=	=	SYM
ejpam-314	208	30	sup	sup	NOUN
ejpam-314	208	31	t∈(−∞,0	t∈(−∞,0	NOUN
ejpam-314	208	32	]	]	X
ejpam-314	208	33	ϕ(t)−	ϕ(t)−	PROPN
ejpam-314	208	34	x∗(t	x∗(t	NOUN
ejpam-314	208	35	)	)	PUNCT
ejpam-314	208	36	.	.	PUNCT
ejpam-314	209	1	proof	proof	NOUN
ejpam-314	209	2	.	.	PUNCT
ejpam-314	210	1	set	set	VERB
ejpam-314	210	2	γi	γi	NOUN
ejpam-314	210	3	j(α	j(α	PROPN
ejpam-314	210	4	)	)	PUNCT
ejpam-314	211	1	=	=	NOUN
ejpam-314	211	2	α−	α−	ADP
ejpam-314	211	3	a	a	PRON
ejpam-314	211	4	i	i	NOUN
ejpam-314	211	5	j	j	PROPN
ejpam-314	211	6	+	+	CCONJ
ejpam-314	211	7	∑	∑	SYM
ejpam-314	211	8	ckl∈nr	ckl∈nr	NOUN
ejpam-314	211	9	(	(	PUNCT
ejpam-314	211	10	i	i	PROPN
ejpam-314	211	11	,	,	PUNCT
ejpam-314	211	12	j	j	PROPN
ejpam-314	211	13	)	)	PUNCT
ejpam-314	211	14	c	c	PROPN
ejpam-314	212	1	kl	kl	INTJ
ejpam-314	213	1	i	i	PRON
ejpam-314	213	2	j	j	PROPN
ejpam-314	213	3	(	(	PUNCT
ejpam-314	213	4	�	�	PROPN
ejpam-314	213	5	�	�	PROPN
ejpam-314	213	6	f	f	PROPN
ejpam-314	213	7	(	(	PUNCT
ejpam-314	213	8	0	0	NUM
ejpam-314	213	9	)	)	PUNCT
ejpam-314	213	10	�	�	PROPN
ejpam-314	213	11	�	�	PROPN
ejpam-314	213	12	+	+	PROPN
ejpam-314	214	1	l(r0)r0	l(r0)r0	PROPN
ejpam-314	214	2	+	+	NUM
ejpam-314	214	3	l(r1)r1eατ	l(r1)r1eατ	X
ejpam-314	214	4	)	)	PUNCT
ejpam-314	215	1	+	+	CCONJ
ejpam-314	215	2	∑	∑	PUNCT
ejpam-314	215	3	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	215	4	,	,	PUNCT
ejpam-314	215	5	j	j	NOUN
ejpam-314	215	6	)	)	PUNCT
ejpam-314	215	7	b	b	PROPN
ejpam-314	216	1	kl	kl	INTJ
ejpam-314	216	2	i	i	PRON
ejpam-314	216	3	j	j	PROPN
ejpam-314	216	4	·	·	PUNCT
ejpam-314	216	5	�	�	PROPN
ejpam-314	216	6	(	(	PUNCT
ejpam-314	216	7	�	�	PROPN
ejpam-314	216	8	�	�	PROPN
ejpam-314	216	9	g(0	g(0	PROPN
ejpam-314	216	10	)	)	PUNCT
ejpam-314	216	11	�	�	PROPN
ejpam-314	216	12	�	�	PROPN
ejpam-314	216	13	+	+	PROPN
ejpam-314	216	14	l(r0)r0	l(r0)r0	PROPN
ejpam-314	216	15	)	)	PUNCT
ejpam-314	216	16	∫	∫	PROPN
ejpam-314	216	17	∞	∞	PROPN
ejpam-314	216	18	0	0	NUM
ejpam-314	216	19	�	�	PROPN
ejpam-314	216	20	�	�	PROPN
ejpam-314	216	21	ki	ki	PROPN
ejpam-314	216	22	j(s	j(s	PROPN
ejpam-314	216	23	)	)	PUNCT
ejpam-314	216	24	�	�	PROPN
ejpam-314	216	25	�	�	PROPN
ejpam-314	216	26	ds+	ds+	PROPN
ejpam-314	216	27	l(r1)r1	l(r1)r1	PROPN
ejpam-314	216	28	∫	∫	PROPN
ejpam-314	216	29	∞	∞	PROPN
ejpam-314	216	30	0	0	NUM
ejpam-314	216	31	�	�	PROPN
ejpam-314	216	32	�	�	PROPN
ejpam-314	216	33	ki	ki	PROPN
ejpam-314	216	34	j(s	j(s	PROPN
ejpam-314	216	35	)	)	PUNCT
ejpam-314	216	36	�	�	PROPN
ejpam-314	216	37	�	�	PROPN
ejpam-314	216	38	eαsds	eαsds	PROPN
ejpam-314	216	39	�	�	PROPN
ejpam-314	216	40	where	where	SCONJ
ejpam-314	216	41	i	i	PRON
ejpam-314	216	42	=	=	NOUN
ejpam-314	216	43	1	1	NUM
ejpam-314	216	44	,	,	PUNCT
ejpam-314	216	45	·	·	PUNCT
ejpam-314	216	46	·	·	PUNCT
ejpam-314	216	47	·	·	PUNCT
ejpam-314	216	48	,	,	PUNCT
ejpam-314	216	49	m	m	PROPN
ejpam-314	216	50	,	,	PUNCT
ejpam-314	216	51	j	j	PROPN
ejpam-314	216	52	=	=	SYM
ejpam-314	216	53	1	1	NUM
ejpam-314	216	54	,	,	PUNCT
ejpam-314	216	55	·	·	PUNCT
ejpam-314	216	56	·	·	PUNCT
ejpam-314	216	57	·	·	PUNCT
ejpam-314	216	58	,	,	PUNCT
ejpam-314	216	59	n.	n.	INTJ
ejpam-314	216	60	it	it	PRON
ejpam-314	216	61	is	be	AUX
ejpam-314	216	62	easy	easy	ADJ
ejpam-314	216	63	to	to	PART
ejpam-314	216	64	prove	prove	VERB
ejpam-314	216	65	that	that	SCONJ
ejpam-314	216	66	γi	γi	PROPN
ejpam-314	216	67	j	j	PROPN
ejpam-314	216	68	are	be	AUX
ejpam-314	216	69	continuous	continuous	ADJ
ejpam-314	216	70	functions	function	NOUN
ejpam-314	216	71	on	on	ADP
ejpam-314	216	72	[	[	X
ejpam-314	216	73	0,λ0	0,λ0	NOUN
ejpam-314	216	74	]	]	X
ejpam-314	216	75	.	.	PUNCT
ejpam-314	217	1	moreover	moreover	ADV
ejpam-314	217	2	,	,	PUNCT
ejpam-314	217	3	by	by	ADP
ejpam-314	217	4	(	(	PUNCT
ejpam-314	217	5	h4	h4	PROPN
ejpam-314	217	6	)	)	PUNCT
ejpam-314	217	7	and	and	CCONJ
ejpam-314	217	8	(	(	PUNCT
ejpam-314	217	9	h5	h5	PROPN
ejpam-314	217	10	)	)	PUNCT
ejpam-314	217	11	,	,	PUNCT
ejpam-314	217	12	we	we	PRON
ejpam-314	217	13	have	have	VERB
ejpam-314	217	14	γi	γi	INTJ
ejpam-314	217	15	j(0	j(0	PROPN
ejpam-314	217	16	)	)	PUNCT
ejpam-314	218	1	=	=	PRON
ejpam-314	218	2	−a	−a	NOUN
ejpam-314	219	1	i	i	PRON
ejpam-314	219	2	j	j	PROPN
ejpam-314	220	1	+	+	CCONJ
ejpam-314	220	2	∑	∑	SYM
ejpam-314	220	3	ckl∈nr	ckl∈nr	NOUN
ejpam-314	220	4	(	(	PUNCT
ejpam-314	220	5	i	i	PROPN
ejpam-314	220	6	,	,	PUNCT
ejpam-314	220	7	j	j	PROPN
ejpam-314	220	8	)	)	PUNCT
ejpam-314	220	9	c	c	PROPN
ejpam-314	220	10	kl	kl	INTJ
ejpam-314	221	1	i	i	PRON
ejpam-314	221	2	j	j	PROPN
ejpam-314	221	3	�	�	PROPN
ejpam-314	221	4	�	�	PROPN
ejpam-314	221	5	�	�	PROPN
ejpam-314	221	6	f	f	PROPN
ejpam-314	221	7	(	(	PUNCT
ejpam-314	221	8	0	0	NUM
ejpam-314	221	9	)	)	PUNCT
ejpam-314	221	10	�	�	PROPN
ejpam-314	221	11	�	�	PROPN
ejpam-314	221	12	+	+	PROPN
ejpam-314	221	13	l(r0)r0	l(r0)r0	ADJ
ejpam-314	221	14	+	+	CCONJ
ejpam-314	221	15	l(r1)r1	l(r1)r1	PROPN
ejpam-314	221	16	�	�	PROPN
ejpam-314	221	17	+	+	CCONJ
ejpam-314	221	18	∑	∑	PUNCT
ejpam-314	221	19	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	221	20	,	,	PUNCT
ejpam-314	221	21	j	j	NOUN
ejpam-314	221	22	)	)	PUNCT
ejpam-314	221	23	b	b	PROPN
ejpam-314	222	1	kl	kl	INTJ
ejpam-314	223	1	i	i	PRON
ejpam-314	223	2	j	j	PROPN
ejpam-314	223	3	�	�	PROPN
ejpam-314	223	4	�	�	PROPN
ejpam-314	223	5	�	�	PROPN
ejpam-314	223	6	g(0	g(0	PROPN
ejpam-314	223	7	)	)	PUNCT
ejpam-314	223	8	�	�	PROPN
ejpam-314	223	9	�	�	PROPN
ejpam-314	223	10	+	+	PROPN
ejpam-314	223	11	l(r0)r0	l(r0)r0	ADJ
ejpam-314	223	12	+	+	CCONJ
ejpam-314	223	13	l(r1)r1	l(r1)r1	PROPN
ejpam-314	223	14	�	�	PROPN
ejpam-314	223	15	∫	∫	PROPN
ejpam-314	223	16	∞	∞	PROPN
ejpam-314	223	17	0	0	PROPN
ejpam-314	223	18	�	�	PROPN
ejpam-314	223	19	�	�	PROPN
ejpam-314	223	20	ki	ki	PROPN
ejpam-314	223	21	j(s	j(s	PROPN
ejpam-314	223	22	)	)	PUNCT
ejpam-314	223	23	�	�	PROPN
ejpam-314	223	24	�	�	PROPN
ejpam-314	223	25	ds	ds	ADJ
ejpam-314	223	26	≤−a	≤−a	NOUN
ejpam-314	224	1	i	i	PRON
ejpam-314	224	2	j	j	PROPN
ejpam-314	225	1	+	+	CCONJ
ejpam-314	225	2	∑	∑	SYM
ejpam-314	225	3	ckl∈nr	ckl∈nr	NOUN
ejpam-314	225	4	(	(	PUNCT
ejpam-314	225	5	i	i	PROPN
ejpam-314	225	6	,	,	PUNCT
ejpam-314	225	7	j	j	PROPN
ejpam-314	225	8	)	)	PUNCT
ejpam-314	225	9	c	c	PROPN
ejpam-314	225	10	kl	kl	INTJ
ejpam-314	226	1	i	i	PRON
ejpam-314	226	2	j	j	PROPN
ejpam-314	226	3	�	�	PROPN
ejpam-314	226	4	f(0	f(0	PROPN
ejpam-314	226	5	)	)	PUNCT
ejpam-314	226	6	+	+	CCONJ
ejpam-314	227	1	l(r0)r0	l(r0)r0	ADJ
ejpam-314	227	2	+	+	CCONJ
ejpam-314	227	3	l(r1)r1	l(r1)r1	PROPN
ejpam-314	227	4	�	�	PROPN
ejpam-314	227	5	+	+	CCONJ
ejpam-314	227	6	∑	∑	PUNCT
ejpam-314	227	7	ckl∈nq(i	ckl∈nq(i	PROPN
ejpam-314	227	8	,	,	PUNCT
ejpam-314	227	9	j	j	NOUN
ejpam-314	227	10	)	)	PUNCT
ejpam-314	227	11	b	b	PROPN
ejpam-314	227	12	kl	kl	INTJ
ejpam-314	228	1	i	i	PROPN
ejpam-314	228	2	j	j	PROPN
ejpam-314	228	3	�	�	PROPN
ejpam-314	228	4	f(0	f(0	PROPN
ejpam-314	228	5	)	)	PUNCT
ejpam-314	228	6	+	+	CCONJ
ejpam-314	228	7	l(r0)r0	l(r0)r0	NOUN
ejpam-314	228	8	+	+	CCONJ
ejpam-314	228	9	l(r1)r1	l(r1)r1	PROPN
ejpam-314	228	10	�	�	PROPN
ejpam-314	228	11	∫	∫	PROPN
ejpam-314	228	12	∞	∞	PROPN
ejpam-314	228	13	0	0	PROPN
ejpam-314	228	14	�	�	PROPN
ejpam-314	228	15	�	�	PROPN
ejpam-314	228	16	ki	ki	PROPN
ejpam-314	228	17	j(s	j(s	PROPN
ejpam-314	228	18	)	)	PUNCT
ejpam-314	228	19	�	�	PROPN
ejpam-314	228	20	�	�	PROPN
ejpam-314	228	21	ds	ds	X
ejpam-314	228	22	<	<	X
ejpam-314	228	23	0	0	NUM
ejpam-314	228	24	.	.	PUNCT
ejpam-314	228	25	a.	a.	PROPN
ejpam-314	228	26	wu	wu	PROPN
ejpam-314	229	1	and	and	CCONJ
ejpam-314	229	2	c.	c.	PROPN
ejpam-314	229	3	fu	fu	PROPN
ejpam-314	229	4	/	/	SYM
ejpam-314	229	5	eur	eur	PROPN
ejpam-314	229	6	.	.	PUNCT
ejpam-314	230	1	j.	j.	PROPN
ejpam-314	230	2	pure	pure	PROPN
ejpam-314	230	3	appl	appl	PROPN
ejpam-314	230	4	.	.	PROPN
ejpam-314	230	5	math	math	PROPN
ejpam-314	230	6	,	,	PUNCT
ejpam-314	230	7	2	2	NUM
ejpam-314	230	8	(	(	PUNCT
ejpam-314	230	9	2009	2009	NUM
ejpam-314	230	10	)	)	PUNCT
ejpam-314	230	11	,	,	PUNCT
ejpam-314	230	12	(	(	PUNCT
ejpam-314	230	13	448	448	NUM
ejpam-314	230	14	-	-	SYM
ejpam-314	230	15	461	461	NUM
ejpam-314	230	16	)	)	PUNCT
ejpam-314	230	17	456	456	NUM
ejpam-314	231	1	thus	thus	ADV
ejpam-314	231	2	,	,	PUNCT
ejpam-314	231	3	there	there	PRON
ejpam-314	231	4	exists	exist	VERB
ejpam-314	231	5	a	a	DET
ejpam-314	231	6	sufficiently	sufficiently	ADV
ejpam-314	231	7	small	small	ADJ
ejpam-314	231	8	constant	constant	ADJ
ejpam-314	231	9	λ	λ	X
ejpam-314	231	10	>	>	X
ejpam-314	231	11	0	0	NUM
ejpam-314	231	12	such	such	ADJ
ejpam-314	231	13	that	that	SCONJ
ejpam-314	231	14	γi	γi	PROPN
ejpam-314	231	15	j(λ	j(λ	PROPN
ejpam-314	231	16	)	)	PUNCT
ejpam-314	231	17	<	<	X
ejpam-314	231	18	0	0	NUM
ejpam-314	231	19	,	,	PUNCT
ejpam-314	231	20	i	i	PRON
ejpam-314	231	21	=	=	NOUN
ejpam-314	231	22	1	1	NUM
ejpam-314	231	23	,	,	PUNCT
ejpam-314	231	24	·	·	PUNCT
ejpam-314	231	25	·	·	PUNCT
ejpam-314	231	26	·	·	PUNCT
ejpam-314	231	27	,	,	PUNCT
ejpam-314	231	28	m	m	PROPN
ejpam-314	231	29	,	,	PUNCT
ejpam-314	231	30	j	j	PROPN
ejpam-314	231	31	=	=	SYM
ejpam-314	231	32	1	1	NUM
ejpam-314	231	33	,	,	PUNCT
ejpam-314	231	34	·	·	PUNCT
ejpam-314	231	35	·	·	PUNCT
ejpam-314	231	36	·	·	PUNCT
ejpam-314	231	37	,	,	PUNCT
ejpam-314	231	38	n.	n.	PROPN
ejpam-314	231	39	(	(	PUNCT
ejpam-314	231	40	3.1	3.1	NUM
ejpam-314	231	41	)	)	PUNCT
ejpam-314	231	42	take	take	VERB
ejpam-314	231	43	ǫ	ǫ	PRON
ejpam-314	231	44	>	>	X
ejpam-314	231	45	0	0	X
ejpam-314	231	46	.	.	PUNCT
ejpam-314	232	1	set	set	PROPN
ejpam-314	232	2	zi	zi	PROPN
ejpam-314	232	3	j(t	j(t	PROPN
ejpam-314	232	4	)	)	PUNCT
ejpam-314	232	5	=	=	SYM
ejpam-314	232	6	�	�	PROPN
ejpam-314	232	7	�	�	PROPN
ejpam-314	232	8	�	�	PROPN
ejpam-314	232	9	x	x	PROPN
ejpam-314	232	10	i	i	PRON
ejpam-314	232	11	j(t)−	j(t)−	PROPN
ejpam-314	232	12	x∗	x∗	PROPN
ejpam-314	233	1	i	i	PRON
ejpam-314	233	2	j	j	PROPN
ejpam-314	233	3	(	(	PUNCT
ejpam-314	233	4	t	t	PROPN
ejpam-314	233	5	)	)	PUNCT
ejpam-314	233	6	�	�	PROPN
ejpam-314	233	7	�	�	PROPN
ejpam-314	233	8	�	�	PROPN
ejpam-314	233	9	eλt	eλt	PROPN
ejpam-314	233	10	,	,	PUNCT
ejpam-314	233	11	i	i	PRON
ejpam-314	233	12	=	=	NOUN
ejpam-314	233	13	1	1	NUM
ejpam-314	233	14	,	,	PUNCT
ejpam-314	233	15	·	·	PUNCT
ejpam-314	233	16	·	·	PUNCT
ejpam-314	233	17	·	·	PUNCT
ejpam-314	233	18	,	,	PUNCT
ejpam-314	233	19	m	m	PROPN
ejpam-314	233	20	,	,	PUNCT
ejpam-314	233	21	j	j	PROPN
ejpam-314	233	22	=	=	SYM
ejpam-314	233	23	1	1	NUM
ejpam-314	233	24	,	,	PUNCT
ejpam-314	233	25	·	·	PUNCT
ejpam-314	233	26	·	·	PUNCT
ejpam-314	233	27	·	·	PUNCT
ejpam-314	233	28	,	,	PUNCT
ejpam-314	233	29	n.	n.	PROPN
ejpam-314	233	30	it	it	PRON
ejpam-314	233	31	follows	follow	VERB
ejpam-314	233	32	that	that	SCONJ
ejpam-314	233	33	:	:	PUNCT
ejpam-314	233	34	zi	zi	PROPN
ejpam-314	233	35	j(t	j(t	PROPN
ejpam-314	233	36	)	)	PUNCT
ejpam-314	233	37	≤	≤	PUNCT
ejpam-314	234	1	m	m	VERB
ejpam-314	234	2	<	<	X
ejpam-314	234	3	m	m	VERB
ejpam-314	234	4	+	+	X
ejpam-314	234	5	ǫ,∀	ǫ,∀	NUM
ejpam-314	234	6	t	t	NOUN
ejpam-314	234	7	∈	∈	PROPN
ejpam-314	234	8	(	(	PUNCT
ejpam-314	234	9	−∞	−∞	NOUN
ejpam-314	234	10	,	,	PUNCT
ejpam-314	234	11	0	0	NUM
ejpam-314	234	12	]	]	PUNCT
ejpam-314	234	13	,	,	PUNCT
ejpam-314	234	14	i	i	PRON
ejpam-314	234	15	=	=	NOUN
ejpam-314	234	16	1	1	NUM
ejpam-314	234	17	,	,	PUNCT
ejpam-314	234	18	·	·	PUNCT
ejpam-314	234	19	·	·	PUNCT
ejpam-314	234	20	·	·	PUNCT
ejpam-314	234	21	,	,	PUNCT
ejpam-314	234	22	m	m	PROPN
ejpam-314	234	23	,	,	PUNCT
ejpam-314	234	24	j	j	PROPN
ejpam-314	234	25	=	=	SYM
ejpam-314	234	26	1	1	NUM
ejpam-314	234	27	,	,	PUNCT
ejpam-314	234	28	·	·	PUNCT
ejpam-314	234	29	·	·	PUNCT
ejpam-314	234	30	·	·	PUNCT
ejpam-314	234	31	,	,	PUNCT
ejpam-314	234	32	n.	n.	NOUN
ejpam-314	234	33	in	in	ADP
ejpam-314	234	34	the	the	DET
ejpam-314	234	35	following	following	NOUN
ejpam-314	234	36	,	,	PUNCT
ejpam-314	234	37	we	we	PRON
ejpam-314	234	38	will	will	AUX
ejpam-314	234	39	prove	prove	VERB
ejpam-314	234	40	that	that	SCONJ
ejpam-314	234	41	zi	zi	PROPN
ejpam-314	234	42	j(t)≤	j(t)≤	PROPN
ejpam-314	234	43	m	m	PROPN
ejpam-314	234	44	+	+	X
ejpam-314	234	45	ǫ,∀	ǫ,∀	NUM
ejpam-314	234	46	t	t	NOUN
ejpam-314	234	47	>	>	X
ejpam-314	234	48	0	0	PROPN
ejpam-314	234	49	,	,	PUNCT
ejpam-314	234	50	i	i	PRON
ejpam-314	234	51	=	=	NOUN
ejpam-314	234	52	1	1	NUM
ejpam-314	234	53	,	,	PUNCT
ejpam-314	234	54	·	·	PUNCT
ejpam-314	234	55	·	·	PUNCT
ejpam-314	234	56	·	·	PUNCT
ejpam-314	234	57	,	,	PUNCT
ejpam-314	234	58	m	m	PROPN
ejpam-314	234	59	,	,	PUNCT
ejpam-314	234	60	j	j	PROPN
ejpam-314	234	61	=	=	SYM
ejpam-314	234	62	1	1	NUM
ejpam-314	234	63	,	,	PUNCT
ejpam-314	234	64	·	·	PUNCT
ejpam-314	234	65	·	·	PUNCT
ejpam-314	234	66	·	·	PUNCT
ejpam-314	234	67	,	,	PUNCT
ejpam-314	234	68	n.	n.	NOUN
ejpam-314	234	69	(	(	PUNCT
ejpam-314	234	70	3.2	3.2	NUM
ejpam-314	234	71	)	)	PUNCT
ejpam-314	234	72	if	if	SCONJ
ejpam-314	234	73	this	this	PRON
ejpam-314	234	74	is	be	AUX
ejpam-314	234	75	not	not	PART
ejpam-314	234	76	true	true	ADJ
ejpam-314	234	77	,	,	PUNCT
ejpam-314	234	78	then	then	ADV
ejpam-314	234	79	there	there	PRON
ejpam-314	234	80	exist	exist	VERB
ejpam-314	234	81	i0	i0	PROPN
ejpam-314	234	82	∈	∈	PROPN
ejpam-314	234	83	{	{	PUNCT
ejpam-314	234	84	1	1	NUM
ejpam-314	234	85	,	,	PUNCT
ejpam-314	234	86	·	·	PUNCT
ejpam-314	234	87	·	·	PUNCT
ejpam-314	234	88	·	·	PUNCT
ejpam-314	234	89	,	,	PUNCT
ejpam-314	234	90	m	m	VERB
ejpam-314	234	91	}	}	PUNCT
ejpam-314	234	92	and	and	CCONJ
ejpam-314	234	93	j0	j0	PROPN
ejpam-314	234	94	∈	∈	PROPN
ejpam-314	234	95	{	{	PUNCT
ejpam-314	234	96	1	1	NUM
ejpam-314	234	97	,	,	PUNCT
ejpam-314	234	98	·	·	PUNCT
ejpam-314	234	99	·	·	PUNCT
ejpam-314	234	100	·	·	PUNCT
ejpam-314	234	101	,	,	PUNCT
ejpam-314	234	102	n	n	CCONJ
ejpam-314	234	103	}	}	PUNCT
ejpam-314	234	104	such	such	ADJ
ejpam-314	234	105	that	that	SCONJ
ejpam-314	234	106	¦	¦	PROPN
ejpam-314	234	107	t	t	PROPN
ejpam-314	234	108	>	>	X
ejpam-314	234	109	0	0	PUNCT
ejpam-314	235	1	|	|	INTJ
ejpam-314	235	2	zi0	zi0	NOUN
ejpam-314	235	3	j0	j0	PROPN
ejpam-314	235	4	(	(	PUNCT
ejpam-314	235	5	t	t	PROPN
ejpam-314	235	6	)	)	PUNCT
ejpam-314	235	7	>	>	X
ejpam-314	236	1	m	m	VERB
ejpam-314	236	2	+	+	ADJ
ejpam-314	236	3	ǫ	ǫ	PROPN
ejpam-314	236	4	©	©	PROPN
ejpam-314	236	5	6=	6=	NUM
ejpam-314	236	6	;	;	PUNCT
ejpam-314	236	7	.	.	PUNCT
ejpam-314	237	1	(	(	PUNCT
ejpam-314	237	2	3.3	3.3	NUM
ejpam-314	237	3	)	)	PUNCT
ejpam-314	237	4	let	let	VERB
ejpam-314	237	5	t	t	NOUN
ejpam-314	238	1	i	i	PRON
ejpam-314	238	2	j	j	NOUN
ejpam-314	239	1	=	=	PUNCT
ejpam-314	239	2			PROPN
ejpam-314	239	3			ADP
ejpam-314	239	4			ADJ
ejpam-314	239	5	inf	inf	PROPN
ejpam-314	239	6	¦	¦	PROPN
ejpam-314	239	7	t	t	PROPN
ejpam-314	239	8	>	>	X
ejpam-314	239	9	0	0	PUNCT
ejpam-314	240	1	|	|	ADV
ejpam-314	240	2	zi	zi	PROPN
ejpam-314	240	3	j(t	j(t	PROPN
ejpam-314	240	4	)	)	PUNCT
ejpam-314	240	5	>	>	X
ejpam-314	241	1	m	m	VERB
ejpam-314	242	1	+	+	ADJ
ejpam-314	242	2	ǫ	ǫ	PRON
ejpam-314	242	3	©	©	NOUN
ejpam-314	242	4	,	,	PUNCT
ejpam-314	242	5	¦	¦	PROPN
ejpam-314	242	6	t	t	PROPN
ejpam-314	242	7	>	>	X
ejpam-314	242	8	0	0	PUNCT
ejpam-314	243	1	|	|	ADV
ejpam-314	243	2	zi	zi	PROPN
ejpam-314	243	3	j(t	j(t	PROPN
ejpam-314	243	4	)	)	PUNCT
ejpam-314	243	5	>	>	X
ejpam-314	244	1	m	m	VERB
ejpam-314	244	2	+	+	ADJ
ejpam-314	244	3	ǫ	ǫ	PROPN
ejpam-314	244	4	©	©	PROPN
ejpam-314	244	5	6=	6=	NUM
ejpam-314	244	6	;	;	PUNCT
ejpam-314	244	7	,	,	PUNCT
ejpam-314	244	8	+	+	NOUN
ejpam-314	244	9	∞	∞	PROPN
ejpam-314	244	10	,	,	PUNCT
ejpam-314	244	11	¦	¦	PROPN
ejpam-314	244	12	t	t	PROPN
ejpam-314	244	13	>	>	X
ejpam-314	244	14	0	0	PUNCT
ejpam-314	245	1	|	|	ADV
ejpam-314	245	2	zi	zi	PROPN
ejpam-314	245	3	j(t	j(t	PROPN
ejpam-314	245	4	)	)	PUNCT
ejpam-314	245	5	>	>	X
ejpam-314	246	1	m	m	VERB
ejpam-314	247	1	+	+	NOUN
ejpam-314	247	2	ǫ	ǫ	NOUN
ejpam-314	247	3	©	©	NOUN
ejpam-314	247	4	=	=	PUNCT
ejpam-314	247	5	;	;	PUNCT
ejpam-314	247	6	.	.	PUNCT
ejpam-314	248	1	then	then	ADV
ejpam-314	248	2	t	t	PROPN
ejpam-314	248	3	i	i	PRON
ejpam-314	248	4	j	j	PROPN
ejpam-314	248	5	>	>	X
ejpam-314	248	6	0	0	PUNCT
ejpam-314	248	7	and	and	CCONJ
ejpam-314	248	8	zi	zi	PROPN
ejpam-314	248	9	j(t)≤	j(t)≤	PROPN
ejpam-314	248	10	m	m	PROPN
ejpam-314	248	11	+	+	X
ejpam-314	248	12	ǫ,∀	ǫ,∀	NUM
ejpam-314	248	13	t	t	NOUN
ejpam-314	248	14	∈	∈	PROPN
ejpam-314	248	15	(	(	PUNCT
ejpam-314	248	16	−∞	−∞	NOUN
ejpam-314	248	17	,	,	PUNCT
ejpam-314	248	18	t	t	PROPN
ejpam-314	248	19	i	i	PRON
ejpam-314	248	20	j	j	PROPN
ejpam-314	249	1	]	]	X
ejpam-314	249	2	,	,	PUNCT
ejpam-314	249	3	i	i	PRON
ejpam-314	249	4	=	=	NOUN
ejpam-314	249	5	1	1	NUM
ejpam-314	249	6	,	,	PUNCT
ejpam-314	249	7	·	·	PUNCT
ejpam-314	249	8	·	·	PUNCT
ejpam-314	249	9	·	·	PUNCT
ejpam-314	249	10	,	,	PUNCT
ejpam-314	249	11	m	m	PROPN
ejpam-314	249	12	,	,	PUNCT
ejpam-314	249	13	j	j	PROPN
ejpam-314	249	14	=	=	SYM
ejpam-314	249	15	1	1	NUM
ejpam-314	249	16	,	,	PUNCT
ejpam-314	249	17	·	·	PUNCT
ejpam-314	249	18	·	·	PUNCT
ejpam-314	249	19	·	·	PUNCT
ejpam-314	249	20	,	,	PUNCT
ejpam-314	249	21	n.	n.	NOUN
ejpam-314	249	22	(	(	PUNCT
ejpam-314	249	23	3.4	3.4	NUM
ejpam-314	249	24	)	)	PUNCT
ejpam-314	249	25	we	we	PRON
ejpam-314	249	26	denote	denote	VERB
ejpam-314	249	27	tph	tph	PROPN
ejpam-314	249	28	=	=	SYM
ejpam-314	249	29	min	min	PROPN
ejpam-314	249	30	(	(	PUNCT
ejpam-314	249	31	i	i	PROPN
ejpam-314	249	32	,	,	PUNCT
ejpam-314	249	33	j	j	PROPN
ejpam-314	249	34	)	)	PUNCT
ejpam-314	249	35	t	t	PROPN
ejpam-314	250	1	i	i	PRON
ejpam-314	250	2	j	j	PROPN
ejpam-314	250	3	,	,	PUNCT
ejpam-314	250	4	where	where	SCONJ
ejpam-314	250	5	p	p	PROPN
ejpam-314	250	6	∈	∈	PROPN
ejpam-314	250	7	{	{	PUNCT
ejpam-314	250	8	1	1	NUM
ejpam-314	250	9	,	,	PUNCT
ejpam-314	250	10	·	·	PUNCT
ejpam-314	250	11	·	·	PUNCT
ejpam-314	250	12	·	·	PUNCT
ejpam-314	250	13	,	,	PUNCT
ejpam-314	250	14	m	m	VERB
ejpam-314	250	15	}	}	PUNCT
ejpam-314	250	16	and	and	CCONJ
ejpam-314	250	17	h	h	NOUN
ejpam-314	250	18	∈	∈	PROPN
ejpam-314	250	19	{	{	PUNCT
ejpam-314	250	20	1	1	NUM
ejpam-314	250	21	,	,	PUNCT
ejpam-314	250	22	·	·	PUNCT
ejpam-314	250	23	·	·	PUNCT
ejpam-314	250	24	·	·	PUNCT
ejpam-314	250	25	,	,	PUNCT
ejpam-314	250	26	n	n	CCONJ
ejpam-314	250	27	}	}	PUNCT
ejpam-314	250	28	.	.	PUNCT
ejpam-314	251	1	from	from	ADP
ejpam-314	251	2	(	(	PUNCT
ejpam-314	251	3	3.3	3.3	NUM
ejpam-314	251	4	)	)	PUNCT
ejpam-314	251	5	,	,	PUNCT
ejpam-314	251	6	we	we	PRON
ejpam-314	251	7	have	have	VERB
ejpam-314	251	8	0	0	NUM
ejpam-314	251	9	<	<	X
ejpam-314	251	10	tph	tph	X
ejpam-314	251	11	<	<	X
ejpam-314	252	1	+	+	NOUN
ejpam-314	252	2	∞.	∞.	PROPN
ejpam-314	252	3	it	it	PRON
ejpam-314	252	4	follows	follow	VERB
ejpam-314	252	5	from	from	ADP
ejpam-314	252	6	(	(	PUNCT
ejpam-314	252	7	3.4	3.4	NUM
ejpam-314	252	8	)	)	PUNCT
ejpam-314	252	9	,	,	PUNCT
ejpam-314	252	10	we	we	PRON
ejpam-314	252	11	have	have	VERB
ejpam-314	252	12	zi	zi	PROPN
ejpam-314	252	13	j(t)≤	j(t)≤	PROPN
ejpam-314	252	14	m	m	PROPN
ejpam-314	252	15	+	+	X
ejpam-314	252	16	ǫ,∀	ǫ,∀	NUM
ejpam-314	252	17	t	t	NOUN
ejpam-314	252	18	∈	∈	PROPN
ejpam-314	252	19	(	(	PUNCT
ejpam-314	252	20	−∞	−∞	NOUN
ejpam-314	252	21	,	,	PUNCT
ejpam-314	252	22	tph	tph	PROPN
ejpam-314	252	23	]	]	X
ejpam-314	252	24	,	,	PUNCT
ejpam-314	252	25	i	i	NOUN
ejpam-314	252	26	=	=	NOUN
ejpam-314	252	27	1	1	NUM
ejpam-314	252	28	,	,	PUNCT
ejpam-314	252	29	·	·	PUNCT
ejpam-314	252	30	·	·	PUNCT
ejpam-314	252	31	·	·	PUNCT
ejpam-314	252	32	,	,	PUNCT
ejpam-314	252	33	m	m	PROPN
ejpam-314	252	34	,	,	PUNCT
ejpam-314	252	35	j	j	PROPN
ejpam-314	252	36	=	=	SYM
ejpam-314	252	37	1	1	NUM
ejpam-314	252	38	,	,	PUNCT
ejpam-314	252	39	·	·	PUNCT
ejpam-314	252	40	·	·	PUNCT
ejpam-314	252	41	·	·	PUNCT
ejpam-314	252	42	,	,	PUNCT
ejpam-314	252	43	n.	n.	NOUN
ejpam-314	252	44	(	(	PUNCT
ejpam-314	252	45	3.5	3.5	NUM
ejpam-314	252	46	)	)	PUNCT
ejpam-314	252	47	in	in	ADP
ejpam-314	252	48	addition	addition	NOUN
ejpam-314	252	49	,	,	PUNCT
ejpam-314	252	50	noticing	notice	VERB
ejpam-314	252	51	that	that	SCONJ
ejpam-314	252	52	tph	tph	PROPN
ejpam-314	252	53	=	=	PUNCT
ejpam-314	252	54	inf	inf	PROPN
ejpam-314	252	55	¦	¦	PROPN
ejpam-314	252	56	t	t	PROPN
ejpam-314	252	57	>	>	X
ejpam-314	252	58	0	0	PUNCT
ejpam-314	253	1	|	|	ADV
ejpam-314	253	2	zph(t	zph(t	NUM
ejpam-314	253	3	)	)	PUNCT
ejpam-314	253	4	>	>	X
ejpam-314	254	1	m	m	VERB
ejpam-314	255	1	+	+	ADJ
ejpam-314	255	2	ǫ	ǫ	PRON
ejpam-314	255	3	©	©	NOUN
ejpam-314	255	4	,	,	PUNCT
ejpam-314	255	5	we	we	PRON
ejpam-314	255	6	obtain	obtain	VERB
ejpam-314	255	7	zph(tph	zph(tph	PUNCT
ejpam-314	255	8	)	)	PUNCT
ejpam-314	256	1	=	=	PUNCT
ejpam-314	257	1	m	m	VERB
ejpam-314	257	2	+	+	NOUN
ejpam-314	257	3	ǫ	ǫ	NOUN
ejpam-314	257	4	,	,	PUNCT
ejpam-314	257	5	and	and	CCONJ
ejpam-314	257	6	d+zph(tph)≥	d+zph(tph)≥	PROPN
ejpam-314	257	7	0	0	NUM
ejpam-314	257	8	.	.	PUNCT
ejpam-314	258	1	(	(	PUNCT
ejpam-314	258	2	3.6	3.6	NUM
ejpam-314	258	3	)	)	PUNCT
ejpam-314	258	4	since	since	SCONJ
ejpam-314	258	5	x(t	x(t	PROPN
ejpam-314	258	6	)	)	PUNCT
ejpam-314	258	7	and	and	CCONJ
ejpam-314	258	8	x∗(t	x∗(t	NOUN
ejpam-314	258	9	)	)	PUNCT
ejpam-314	258	10	are	be	AUX
ejpam-314	258	11	solutions	solution	NOUN
ejpam-314	258	12	of	of	ADP
ejpam-314	258	13	eq.(1.1	eq.(1.1	PROPN
ejpam-314	258	14	)	)	PUNCT
ejpam-314	258	15	,	,	PUNCT
ejpam-314	258	16	combining	combine	VERB
ejpam-314	258	17	with	with	ADP
ejpam-314	258	18	(	(	PUNCT
ejpam-314	258	19	3.5)-(3.6	3.5)-(3.6	NUM
ejpam-314	258	20	)	)	PUNCT
ejpam-314	258	21	,	,	PUNCT
ejpam-314	258	22	(	(	PUNCT
ejpam-314	258	23	h2	h2	NOUN
ejpam-314	258	24	)	)	PUNCT
ejpam-314	258	25	and	and	CCONJ
ejpam-314	258	26	(	(	PUNCT
ejpam-314	258	27	h3	h3	NOUN
ejpam-314	258	28	)	)	PUNCT
ejpam-314	258	29	,	,	PUNCT
ejpam-314	258	30	we	we	PRON
ejpam-314	258	31	have	have	VERB
ejpam-314	258	32	0≤	0≤	NUM
ejpam-314	258	33	d+zph(tph	d+zph(tph	NOUN
ejpam-314	258	34	)	)	PUNCT
ejpam-314	259	1	=	=	PUNCT
ejpam-314	260	1	d+	d+	X
ejpam-314	260	2	[	[	PUNCT
ejpam-314	260	3	�	�	PROPN
ejpam-314	260	4	�	�	PROPN
ejpam-314	260	5	�	�	PROPN
ejpam-314	260	6	xph(t)−	xph(t)−	PROPN
ejpam-314	260	7	x∗	x∗	PROPN
ejpam-314	260	8	ph	ph	PROPN
ejpam-314	260	9	(	(	PUNCT
ejpam-314	260	10	t	t	NOUN
ejpam-314	260	11	)	)	PUNCT
ejpam-314	260	12	�	�	PROPN
ejpam-314	260	13	�	�	PROPN
ejpam-314	260	14	�	�	PROPN
ejpam-314	260	15	eλt	eλt	PROPN
ejpam-314	260	16	]	]	X
ejpam-314	260	17	|t	|t	PROPN
ejpam-314	261	1	=	=	PROPN
ejpam-314	261	2	tph	tph	PROPN
ejpam-314	261	3	a.	a.	PROPN
ejpam-314	261	4	wu	wu	PROPN
ejpam-314	261	5	and	and	CCONJ
ejpam-314	261	6	c.	c.	PROPN
ejpam-314	261	7	fu	fu	PROPN
ejpam-314	261	8	/	/	SYM
ejpam-314	261	9	eur	eur	PROPN
ejpam-314	261	10	.	.	PUNCT
ejpam-314	262	1	j.	j.	PROPN
ejpam-314	262	2	pure	pure	PROPN
ejpam-314	262	3	appl	appl	PROPN
ejpam-314	262	4	.	.	PROPN
ejpam-314	262	5	math	math	PROPN
ejpam-314	262	6	,	,	PUNCT
ejpam-314	262	7	2	2	NUM
ejpam-314	262	8	(	(	PUNCT
ejpam-314	262	9	2009	2009	NUM
ejpam-314	262	10	)	)	PUNCT
ejpam-314	262	11	,	,	PUNCT
ejpam-314	262	12	(	(	PUNCT
ejpam-314	262	13	448	448	NUM
ejpam-314	262	14	-	-	SYM
ejpam-314	262	15	461	461	NUM
ejpam-314	262	16	)	)	PUNCT
ejpam-314	263	1	457	457	NUM
ejpam-314	263	2	≤	≤	NUM
ejpam-314	263	3	�	�	PROPN
ejpam-314	263	4	�	�	PROPN
ejpam-314	263	5	�	�	PROPN
ejpam-314	263	6	xph(tph)−	xph(tph)−	PROPN
ejpam-314	263	7	x∗	x∗	PROPN
ejpam-314	263	8	ph	ph	PROPN
ejpam-314	263	9	(	(	PUNCT
ejpam-314	263	10	tph	tph	PROPN
ejpam-314	263	11	)	)	PUNCT
ejpam-314	263	12	�	�	PROPN
ejpam-314	263	13	�	�	PROPN
ejpam-314	263	14	�	�	PROPN
ejpam-314	263	15	λeλtph	λeλtph	PROPN
ejpam-314	263	16	−	−	PROPN
ejpam-314	264	1	a	a	DET
ejpam-314	264	2	ph	ph	PROPN
ejpam-314	264	3	�	�	PROPN
ejpam-314	264	4	�	�	PROPN
ejpam-314	264	5	�	�	PROPN
ejpam-314	264	6	xph(tph)−	xph(tph)−	PROPN
ejpam-314	264	7	x∗	x∗	PROPN
ejpam-314	264	8	ph	ph	PROPN
ejpam-314	264	9	(	(	PUNCT
ejpam-314	264	10	tph	tph	PROPN
ejpam-314	264	11	)	)	PUNCT
ejpam-314	264	12	�	�	PROPN
ejpam-314	264	13	�	�	PROPN
ejpam-314	264	14	�	�	PROPN
ejpam-314	264	15	eλtph	eλtph	PROPN
ejpam-314	264	16	+	+	CCONJ
ejpam-314	264	17	∑	∑	SYM
ejpam-314	264	18	ckl∈nr	ckl∈nr	NOUN
ejpam-314	264	19	(	(	PUNCT
ejpam-314	264	20	p	p	X
ejpam-314	264	21	,	,	PUNCT
ejpam-314	264	22	h	h	NOUN
ejpam-314	264	23	)	)	PUNCT
ejpam-314	264	24	c	c	NOUN
ejpam-314	264	25	kl	kl	PROPN
ejpam-314	264	26	ph	ph	PROPN
ejpam-314	265	1	|	|	INTJ
ejpam-314	265	2	f	f	PROPN
ejpam-314	265	3	(	(	PUNCT
ejpam-314	265	4	xkl(tph−τ(tph)))xph(tph)−	xkl(tph−τ(tph)))xph(tph)−	PROPN
ejpam-314	265	5	f	f	PROPN
ejpam-314	265	6	(	(	PUNCT
ejpam-314	265	7	x∗	x∗	PROPN
ejpam-314	265	8	kl	kl	X
ejpam-314	265	9	(	(	PUNCT
ejpam-314	265	10	tph−τ(tph)))x	tph−τ(tph)))x	PROPN
ejpam-314	265	11	∗	∗	NOUN
ejpam-314	265	12	ph	ph	NOUN
ejpam-314	265	13	(	(	PUNCT
ejpam-314	265	14	tph	tph	NOUN
ejpam-314	265	15	)	)	PUNCT
ejpam-314	265	16	|	|	ADV
ejpam-314	265	17	·	·	PUNCT
ejpam-314	265	18	eλtph	eλtph	NOUN
ejpam-314	265	19	+	+	CCONJ
ejpam-314	265	20	∑	∑	PROPN
ejpam-314	265	21	ckl∈nq(p	ckl∈nq(p	PROPN
ejpam-314	265	22	,	,	PUNCT
ejpam-314	265	23	h	h	NOUN
ejpam-314	265	24	)	)	PUNCT
ejpam-314	265	25	b	b	NOUN
ejpam-314	265	26	kl	kl	NOUN
ejpam-314	265	27	ph	ph	PROPN
ejpam-314	266	1	|	|	ADV
ejpam-314	266	2	∫	∫	PROPN
ejpam-314	266	3	∞	∞	NOUN
ejpam-314	266	4	0	0	NUM
ejpam-314	267	1	ki	ki	PROPN
ejpam-314	267	2	j(u)g(xkl(tph−	j(u)g(xkl(tph−	VERB
ejpam-314	267	3	u))duxph(tph	u))duxph(tph	PRON
ejpam-314	267	4	)	)	PUNCT
ejpam-314	268	1	−	−	PROPN
ejpam-314	268	2	∫	∫	PROPN
ejpam-314	268	3	∞	∞	PROPN
ejpam-314	268	4	0	0	NUM
ejpam-314	269	1	ki	ki	PROPN
ejpam-314	269	2	j(u)g(x	j(u)g(x	PROPN
ejpam-314	269	3	∗	∗	NOUN
ejpam-314	269	4	kl	kl	PROPN
ejpam-314	270	1	(	(	PUNCT
ejpam-314	270	2	tph−	tph−	NOUN
ejpam-314	270	3	u))dux∗	u))dux∗	ADV
ejpam-314	270	4	ph	ph	X
ejpam-314	270	5	(	(	PUNCT
ejpam-314	270	6	tph	tph	NOUN
ejpam-314	270	7	)	)	PUNCT
ejpam-314	270	8	|	|	ADV
ejpam-314	270	9	eλtph	eλtph	ADJ
ejpam-314	270	10	≤	≤	NOUN
ejpam-314	270	11	(	(	PUNCT
ejpam-314	270	12	λ−	λ−	PROPN
ejpam-314	270	13	a	a	DET
ejpam-314	270	14	ph	ph	NOUN
ejpam-314	270	15	)	)	PUNCT
ejpam-314	270	16	zph(tph	zph(tph	NUM
ejpam-314	270	17	)	)	PUNCT
ejpam-314	271	1	+	+	CCONJ
ejpam-314	271	2	∑	∑	PUNCT
ejpam-314	271	3	ckl∈nr	ckl∈nr	NOUN
ejpam-314	271	4	(	(	PUNCT
ejpam-314	271	5	p	p	X
ejpam-314	271	6	,	,	PUNCT
ejpam-314	271	7	h	h	NOUN
ejpam-314	271	8	)	)	PUNCT
ejpam-314	271	9	c	c	NOUN
ejpam-314	271	10	kl	kl	PROPN
ejpam-314	271	11	ph	ph	PROPN
ejpam-314	271	12	|	|	INTJ
ejpam-314	271	13	f	f	X
ejpam-314	271	14	(	(	PUNCT
ejpam-314	271	15	x∗	x∗	PROPN
ejpam-314	271	16	kl	kl	X
ejpam-314	271	17	(	(	PUNCT
ejpam-314	271	18	tph−τ(tph	tph−τ(tph	PROPN
ejpam-314	271	19	)	)	PUNCT
ejpam-314	271	20	)	)	PUNCT
ejpam-314	271	21	)	)	PUNCT
ejpam-314	272	1	|	|	ADV
ejpam-314	272	2	·	·	PUNCT
ejpam-314	272	3	|	|	ADV
ejpam-314	272	4	xph(tph	xph(tph	PUNCT
ejpam-314	272	5	)	)	PUNCT
ejpam-314	273	1	−	−	PROPN
ejpam-314	273	2	x∗	x∗	PROPN
ejpam-314	273	3	ph	ph	X
ejpam-314	273	4	(	(	PUNCT
ejpam-314	273	5	tph	tph	NOUN
ejpam-314	273	6	)	)	PUNCT
ejpam-314	273	7	|	|	ADV
ejpam-314	273	8	eλtph	eλtph	ADJ
ejpam-314	273	9	+	+	CCONJ
ejpam-314	273	10	∑	∑	SYM
ejpam-314	273	11	ckl∈nr	ckl∈nr	NOUN
ejpam-314	273	12	(	(	PUNCT
ejpam-314	273	13	p	p	X
ejpam-314	273	14	,	,	PUNCT
ejpam-314	273	15	h	h	NOUN
ejpam-314	273	16	)	)	PUNCT
ejpam-314	273	17	c	c	NOUN
ejpam-314	273	18	kl	kl	PROPN
ejpam-314	273	19	ph	ph	PROPN
ejpam-314	274	1	|	|	INTJ
ejpam-314	274	2	f	f	X
ejpam-314	274	3	(	(	PUNCT
ejpam-314	274	4	xkl(tph−τ(tph	xkl(tph−τ(tph	NOUN
ejpam-314	274	5	)	)	PUNCT
ejpam-314	274	6	)	)	PUNCT
ejpam-314	274	7	)	)	PUNCT
ejpam-314	275	1	−	−	PROPN
ejpam-314	275	2	f	f	X
ejpam-314	275	3	(	(	PUNCT
ejpam-314	275	4	x∗	x∗	PROPN
ejpam-314	275	5	kl	kl	X
ejpam-314	275	6	(	(	PUNCT
ejpam-314	275	7	tph−τ(tph	tph−τ(tph	PROPN
ejpam-314	275	8	)	)	PUNCT
ejpam-314	275	9	)	)	PUNCT
ejpam-314	275	10	)	)	PUNCT
ejpam-314	276	1	|	|	ADV
ejpam-314	276	2	·	·	PUNCT
ejpam-314	276	3	|	|	ADV
ejpam-314	276	4	xph(tph	xph(tph	X
ejpam-314	276	5	)	)	PUNCT
ejpam-314	277	1	|	|	ADV
ejpam-314	277	2	eλtph	eλtph	VERB
ejpam-314	277	3	+	+	CCONJ
ejpam-314	277	4	∑	∑	PROPN
ejpam-314	277	5	ckl∈nq(p	ckl∈nq(p	PROPN
ejpam-314	277	6	,	,	PUNCT
ejpam-314	277	7	h	h	NOUN
ejpam-314	277	8	)	)	PUNCT
ejpam-314	277	9	b	b	NOUN
ejpam-314	277	10	kl	kl	PROPN
ejpam-314	277	11	ph	ph	PROPN
ejpam-314	277	12	∫	∫	PROPN
ejpam-314	277	13	∞	∞	PROPN
ejpam-314	277	14	0	0	PROPN
ejpam-314	277	15	�	�	PROPN
ejpam-314	277	16	�	�	PROPN
ejpam-314	277	17	ki	ki	PROPN
ejpam-314	277	18	j(u	j(u	PROPN
ejpam-314	277	19	)	)	PUNCT
ejpam-314	277	20	�	�	PROPN
ejpam-314	277	21	�	�	PROPN
ejpam-314	277	22	·	·	SYM
ejpam-314	277	23	�	�	PROPN
ejpam-314	277	24	�	�	PROPN
ejpam-314	277	25	g(x∗	g(x∗	PRON
ejpam-314	277	26	kl	kl	PROPN
ejpam-314	278	1	(	(	PUNCT
ejpam-314	278	2	tph−	tph−	NOUN
ejpam-314	278	3	u	u	NOUN
ejpam-314	278	4	)	)	PUNCT
ejpam-314	278	5	)	)	PUNCT
ejpam-314	279	1	�	�	PROPN
ejpam-314	279	2	�	�	PROPN
ejpam-314	279	3	du	du	PROPN
ejpam-314	279	4	·	·	PUNCT
ejpam-314	279	5	|	|	ADV
ejpam-314	279	6	xph(tph)−	xph(tph)−	X
ejpam-314	280	1	x∗	x∗	PROPN
ejpam-314	280	2	ph	ph	PROPN
ejpam-314	280	3	(	(	PUNCT
ejpam-314	280	4	tph	tph	NOUN
ejpam-314	280	5	)	)	PUNCT
ejpam-314	280	6	|	|	ADV
ejpam-314	280	7	eλtph	eλtph	ADJ
ejpam-314	280	8	+	+	CCONJ
ejpam-314	280	9	∑	∑	PROPN
ejpam-314	280	10	ckl∈nq(p	ckl∈nq(p	PROPN
ejpam-314	280	11	,	,	PUNCT
ejpam-314	280	12	h	h	NOUN
ejpam-314	280	13	)	)	PUNCT
ejpam-314	280	14	b	b	NOUN
ejpam-314	280	15	kl	kl	X
ejpam-314	280	16	ph	ph	X
ejpam-314	280	17	·	·	PUNCT
ejpam-314	280	18	∫	∫	PROPN
ejpam-314	281	1	∞	∞	PROPN
ejpam-314	281	2	0	0	NUM
ejpam-314	281	3	�	�	PROPN
ejpam-314	281	4	�	�	PROPN
ejpam-314	281	5	ki	ki	PROPN
ejpam-314	281	6	j(u	j(u	PROPN
ejpam-314	281	7	)	)	PUNCT
ejpam-314	281	8	�	�	PROPN
ejpam-314	281	9	�	�	PROPN
ejpam-314	281	10	·	·	PUNCT
ejpam-314	281	11	|	|	ADV
ejpam-314	281	12	g(xkl(tph−	g(xkl(tph−	VERB
ejpam-314	281	13	u))−	u))−	PROPN
ejpam-314	281	14	g(x∗	g(x∗	ADV
ejpam-314	281	15	kl	kl	X
ejpam-314	282	1	(	(	PUNCT
ejpam-314	282	2	tph−	tph−	NOUN
ejpam-314	282	3	u	u	NOUN
ejpam-314	282	4	)	)	PUNCT
ejpam-314	282	5	)	)	PUNCT
ejpam-314	283	1	|	|	ADV
ejpam-314	283	2	du	du	PROPN
ejpam-314	283	3	·	·	PUNCT
ejpam-314	283	4	|	|	ADV
ejpam-314	283	5	xph(tph	xph(tph	PROPN
ejpam-314	283	6	)	)	PUNCT
ejpam-314	284	1	|	|	ADV
ejpam-314	284	2	eλtph	eλtph	ADJ
ejpam-314	284	3	≤	≤	NOUN
ejpam-314	284	4	(	(	PUNCT
ejpam-314	284	5	λ−	λ−	PROPN
ejpam-314	284	6	a	a	DET
ejpam-314	284	7	ph	ph	NOUN
ejpam-314	284	8	)	)	PUNCT
ejpam-314	284	9	(	(	PUNCT
ejpam-314	284	10	m	m	VERB
ejpam-314	284	11	+	+	NOUN
ejpam-314	284	12	ǫ	ǫ	X
ejpam-314	284	13	)	)	PUNCT
ejpam-314	285	1	+	+	CCONJ
ejpam-314	285	2	∑	∑	PUNCT
ejpam-314	285	3	ckl∈nr(p	ckl∈nr(p	ADJ
ejpam-314	285	4	,	,	PUNCT
ejpam-314	285	5	h	h	NOUN
ejpam-314	285	6	)	)	PUNCT
ejpam-314	285	7	c	c	NOUN
ejpam-314	285	8	kl	kl	PROPN
ejpam-314	285	9	ph	ph	PROPN
ejpam-314	285	10	(	(	PUNCT
ejpam-314	285	11	�	�	PROPN
ejpam-314	285	12	�	�	PROPN
ejpam-314	285	13	f	f	PROPN
ejpam-314	285	14	(	(	PUNCT
ejpam-314	285	15	0	0	NUM
ejpam-314	285	16	)	)	PUNCT
ejpam-314	285	17	�	�	PROPN
ejpam-314	285	18	�	�	PROPN
ejpam-314	285	19	+	+	PROPN
ejpam-314	285	20	l(r0)r0	l(r0)r0	PROPN
ejpam-314	285	21	)	)	PUNCT
ejpam-314	285	22	·	·	PUNCT
ejpam-314	285	23	zph(tph	zph(tph	PUNCT
ejpam-314	285	24	)	)	PUNCT
ejpam-314	286	1	+	+	CCONJ
ejpam-314	286	2	∑	∑	PUNCT
ejpam-314	286	3	ckl∈nr	ckl∈nr	NOUN
ejpam-314	286	4	(	(	PUNCT
ejpam-314	286	5	p	p	X
ejpam-314	286	6	,	,	PUNCT
ejpam-314	286	7	h	h	NOUN
ejpam-314	286	8	)	)	PUNCT
ejpam-314	286	9	c	c	NOUN
ejpam-314	286	10	kl	kl	PROPN
ejpam-314	286	11	ph	ph	PROPN
ejpam-314	286	12	l(r1	l(r1	PROPN
ejpam-314	286	13	)	)	PUNCT
ejpam-314	286	14	�	�	PROPN
ejpam-314	286	15	�	�	PROPN
ejpam-314	286	16	xkl(tph−τ(tph))−	xkl(tph−τ(tph))−	PROPN
ejpam-314	286	17	x∗	x∗	PROPN
ejpam-314	286	18	kl	kl	X
ejpam-314	286	19	(	(	PUNCT
ejpam-314	286	20	tph−τ(tph	tph−τ(tph	NOUN
ejpam-314	286	21	)	)	PUNCT
ejpam-314	286	22	)	)	PUNCT
ejpam-314	286	23	�	�	PROPN
ejpam-314	286	24	�	�	PROPN
ejpam-314	286	25	·	·	PUNCT
ejpam-314	286	26	eλ(tph−τ(tph))eλτ(tph	eλ(tph−τ(tph))eλτ(tph	NUM
ejpam-314	286	27	)	)	PUNCT
ejpam-314	286	28	·	·	PUNCT
ejpam-314	286	29	r1	r1	PROPN
ejpam-314	286	30	+	+	CCONJ
ejpam-314	286	31	∑	∑	PROPN
ejpam-314	286	32	ckl∈nq(p	ckl∈nq(p	PROPN
ejpam-314	286	33	,	,	PUNCT
ejpam-314	286	34	h	h	NOUN
ejpam-314	286	35	)	)	PUNCT
ejpam-314	286	36	b	b	NOUN
ejpam-314	286	37	kl	kl	NOUN
ejpam-314	286	38	ph	ph	PROPN
ejpam-314	286	39	(	(	PUNCT
ejpam-314	286	40	�	�	PROPN
ejpam-314	286	41	�	�	PROPN
ejpam-314	286	42	g(0	g(0	PROPN
ejpam-314	286	43	)	)	PUNCT
ejpam-314	286	44	�	�	PROPN
ejpam-314	286	45	�	�	PROPN
ejpam-314	286	46	+	+	PROPN
ejpam-314	286	47	l(r0)r0	l(r0)r0	NOUN
ejpam-314	286	48	)	)	PUNCT
ejpam-314	286	49	·	·	PUNCT
ejpam-314	286	50	∫	∫	PROPN
ejpam-314	286	51	∞	∞	PROPN
ejpam-314	286	52	0	0	NUM
ejpam-314	286	53	�	�	PROPN
ejpam-314	286	54	�	�	PROPN
ejpam-314	286	55	ki	ki	PROPN
ejpam-314	286	56	j(u	j(u	PROPN
ejpam-314	286	57	)	)	PUNCT
ejpam-314	286	58	�	�	PROPN
ejpam-314	286	59	�	�	PROPN
ejpam-314	286	60	du	du	PROPN
ejpam-314	286	61	·	·	PUNCT
ejpam-314	286	62	zph(tph	zph(tph	PUNCT
ejpam-314	286	63	)	)	PUNCT
ejpam-314	287	1	+	+	CCONJ
ejpam-314	287	2	∑	∑	PUNCT
ejpam-314	287	3	ckl∈nq(p	ckl∈nq(p	PROPN
ejpam-314	287	4	,	,	PUNCT
ejpam-314	287	5	h	h	NOUN
ejpam-314	287	6	)	)	PUNCT
ejpam-314	287	7	b	b	NOUN
ejpam-314	287	8	kl	kl	X
ejpam-314	287	9	ph	ph	PROPN
ejpam-314	287	10	l(r1	l(r1	PROPN
ejpam-314	287	11	)	)	PUNCT
ejpam-314	287	12	∫	∫	PROPN
ejpam-314	288	1	∞	∞	PROPN
ejpam-314	288	2	0	0	NUM
ejpam-314	288	3	�	�	PROPN
ejpam-314	288	4	�	�	PROPN
ejpam-314	288	5	ki	ki	PROPN
ejpam-314	288	6	j(u	j(u	PROPN
ejpam-314	288	7	)	)	PUNCT
ejpam-314	288	8	�	�	PROPN
ejpam-314	288	9	�	�	PROPN
ejpam-314	288	10	·	·	PUNCT
ejpam-314	288	11	�	�	PROPN
ejpam-314	288	12	�	�	PROPN
ejpam-314	288	13	xkl(tph−	xkl(tph−	PROPN
ejpam-314	288	14	u)−	u)−	PROPN
ejpam-314	288	15	x∗	x∗	PROPN
ejpam-314	288	16	kl	kl	X
ejpam-314	288	17	(	(	PUNCT
ejpam-314	288	18	tph−	tph−	NOUN
ejpam-314	288	19	u	u	NOUN
ejpam-314	288	20	)	)	PUNCT
ejpam-314	288	21	�	�	PROPN
ejpam-314	288	22	�	�	PROPN
ejpam-314	288	23	eλ(tph−u)eλudu	eλ(tph−u)eλudu	PROPN
ejpam-314	288	24	·	·	PUNCT
ejpam-314	288	25	r1	r1	PROPN
ejpam-314	288	26	≤	≤	NUM
ejpam-314	288	27	(	(	PUNCT
ejpam-314	288	28	λ−	λ−	PROPN
ejpam-314	288	29	a	a	DET
ejpam-314	288	30	ph	ph	NOUN
ejpam-314	288	31	)	)	PUNCT
ejpam-314	288	32	(	(	PUNCT
ejpam-314	288	33	m	m	VERB
ejpam-314	288	34	+	+	NOUN
ejpam-314	288	35	ǫ	ǫ	X
ejpam-314	288	36	)	)	PUNCT
ejpam-314	288	37	+	+	CCONJ
ejpam-314	288	38	∑	∑	PUNCT
ejpam-314	288	39	ckl∈nr(p	ckl∈nr(p	ADJ
ejpam-314	288	40	,	,	PUNCT
ejpam-314	288	41	h	h	NOUN
ejpam-314	288	42	)	)	PUNCT
ejpam-314	288	43	c	c	NOUN
ejpam-314	288	44	kl	kl	PROPN
ejpam-314	288	45	ph	ph	PROPN
ejpam-314	288	46	(	(	PUNCT
ejpam-314	288	47	�	�	PROPN
ejpam-314	288	48	�	�	PROPN
ejpam-314	288	49	f	f	PROPN
ejpam-314	288	50	(	(	PUNCT
ejpam-314	288	51	0	0	NUM
ejpam-314	288	52	)	)	PUNCT
ejpam-314	288	53	�	�	PROPN
ejpam-314	288	54	�	�	PROPN
ejpam-314	288	55	+	+	NOUN
ejpam-314	288	56	l(r0)r0	l(r0)r0	NOUN
ejpam-314	288	57	)	)	PUNCT
ejpam-314	288	58	·	·	PUNCT
ejpam-314	288	59	(	(	PUNCT
ejpam-314	288	60	m	m	VERB
ejpam-314	288	61	+	+	NOUN
ejpam-314	288	62	ǫ	ǫ	X
ejpam-314	288	63	)	)	PUNCT
ejpam-314	288	64	+	+	CCONJ
ejpam-314	288	65	∑	∑	SYM
ejpam-314	288	66	ckl∈nr	ckl∈nr	NOUN
ejpam-314	288	67	(	(	PUNCT
ejpam-314	288	68	p	p	X
ejpam-314	288	69	,	,	PUNCT
ejpam-314	288	70	h	h	NOUN
ejpam-314	288	71	)	)	PUNCT
ejpam-314	288	72	c	c	NOUN
ejpam-314	288	73	kl	kl	PROPN
ejpam-314	288	74	ph	ph	X
ejpam-314	288	75	l(r1)r1eλτ	l(r1)r1eλτ	ADV
ejpam-314	288	76	·	·	PUNCT
ejpam-314	288	77	(	(	PUNCT
ejpam-314	288	78	m	m	VERB
ejpam-314	288	79	+	+	NOUN
ejpam-314	288	80	ǫ	ǫ	X
ejpam-314	288	81	)	)	PUNCT
ejpam-314	288	82	+	+	CCONJ
ejpam-314	288	83	∑	∑	PROPN
ejpam-314	288	84	ckl∈nq(p	ckl∈nq(p	PROPN
ejpam-314	288	85	,	,	PUNCT
ejpam-314	288	86	h	h	NOUN
ejpam-314	288	87	)	)	PUNCT
ejpam-314	288	88	b	b	NOUN
ejpam-314	288	89	kl	kl	PROPN
ejpam-314	288	90	ph	ph	PROPN
ejpam-314	288	91	�	�	PROPN
ejpam-314	288	92	�	�	PROPN
ejpam-314	288	93	�	�	PROPN
ejpam-314	288	94	g(0	g(0	PROPN
ejpam-314	288	95	)	)	PUNCT
ejpam-314	288	96	�	�	PROPN
ejpam-314	288	97	�	�	PROPN
ejpam-314	288	98	a.	a.	PROPN
ejpam-314	288	99	wu	wu	PROPN
ejpam-314	288	100	and	and	CCONJ
ejpam-314	288	101	c.	c.	PROPN
ejpam-314	288	102	fu	fu	PROPN
ejpam-314	288	103	/	/	SYM
ejpam-314	288	104	eur	eur	PROPN
ejpam-314	288	105	.	.	PUNCT
ejpam-314	289	1	j.	j.	PROPN
ejpam-314	289	2	pure	pure	PROPN
ejpam-314	289	3	appl	appl	PROPN
ejpam-314	289	4	.	.	PROPN
ejpam-314	289	5	math	math	PROPN
ejpam-314	289	6	,	,	PUNCT
ejpam-314	289	7	2	2	NUM
ejpam-314	289	8	(	(	PUNCT
ejpam-314	289	9	2009	2009	NUM
ejpam-314	289	10	)	)	PUNCT
ejpam-314	289	11	,	,	PUNCT
ejpam-314	289	12	(	(	PUNCT
ejpam-314	289	13	448	448	NUM
ejpam-314	289	14	-	-	SYM
ejpam-314	289	15	461	461	NUM
ejpam-314	289	16	)	)	PUNCT
ejpam-314	289	17	458	458	NUM
ejpam-314	290	1	+	+	CCONJ
ejpam-314	290	2	l(r0)r0	l(r0)r0	PROPN
ejpam-314	290	3	�	�	PROPN
ejpam-314	290	4	·	·	PUNCT
ejpam-314	290	5	∫	∫	PROPN
ejpam-314	290	6	∞	∞	PROPN
ejpam-314	290	7	0	0	NUM
ejpam-314	290	8	�	�	PROPN
ejpam-314	290	9	�	�	PROPN
ejpam-314	290	10	ki	ki	PROPN
ejpam-314	290	11	j(u	j(u	PROPN
ejpam-314	290	12	)	)	PUNCT
ejpam-314	290	13	�	�	PROPN
ejpam-314	290	14	�	�	PROPN
ejpam-314	290	15	du	du	PROPN
ejpam-314	290	16	·	·	PUNCT
ejpam-314	290	17	(	(	PUNCT
ejpam-314	290	18	m	m	VERB
ejpam-314	290	19	+	+	NOUN
ejpam-314	290	20	ǫ	ǫ	X
ejpam-314	290	21	)	)	PUNCT
ejpam-314	290	22	+	+	CCONJ
ejpam-314	290	23	∑	∑	PROPN
ejpam-314	290	24	ckl∈nq(p	ckl∈nq(p	PROPN
ejpam-314	290	25	,	,	PUNCT
ejpam-314	290	26	h	h	NOUN
ejpam-314	290	27	)	)	PUNCT
ejpam-314	290	28	b	b	NOUN
ejpam-314	290	29	kl	kl	X
ejpam-314	290	30	ph	ph	PROPN
ejpam-314	290	31	l(r1)r1	l(r1)r1	PROPN
ejpam-314	290	32	∫	∫	PROPN
ejpam-314	290	33	∞	∞	PROPN
ejpam-314	290	34	0	0	NUM
ejpam-314	290	35	�	�	PROPN
ejpam-314	290	36	�	�	PROPN
ejpam-314	290	37	ki	ki	PROPN
ejpam-314	290	38	j(u	j(u	PROPN
ejpam-314	290	39	)	)	PUNCT
ejpam-314	290	40	�	�	PROPN
ejpam-314	290	41	�	�	PROPN
ejpam-314	290	42	eλudu	eλudu	NOUN
ejpam-314	290	43	·	·	PUNCT
ejpam-314	290	44	(	(	PUNCT
ejpam-314	290	45	m	m	VERB
ejpam-314	290	46	+	+	NUM
ejpam-314	290	47	ǫ	ǫ	X
ejpam-314	290	48	)	)	PUNCT
ejpam-314	290	49	≤	≤	NOUN
ejpam-314	290	50	(	(	PUNCT
ejpam-314	290	51	λ−	λ−	PROPN
ejpam-314	290	52	a	a	DET
ejpam-314	290	53	ph	ph	NOUN
ejpam-314	290	54	)	)	PUNCT
ejpam-314	290	55	(	(	PUNCT
ejpam-314	290	56	m	m	VERB
ejpam-314	290	57	+	+	NOUN
ejpam-314	290	58	ǫ	ǫ	X
ejpam-314	290	59	)	)	PUNCT
ejpam-314	291	1	+	+	CCONJ
ejpam-314	291	2	∑	∑	PUNCT
ejpam-314	291	3	ckl∈nr(p	ckl∈nr(p	ADJ
ejpam-314	291	4	,	,	PUNCT
ejpam-314	291	5	h	h	NOUN
ejpam-314	291	6	)	)	PUNCT
ejpam-314	291	7	c	c	NOUN
ejpam-314	291	8	kl	kl	PROPN
ejpam-314	291	9	ph	ph	X
ejpam-314	291	10	(	(	PUNCT
ejpam-314	291	11	f(0	f(0	NOUN
ejpam-314	291	12	)	)	PUNCT
ejpam-314	291	13	+	+	SYM
ejpam-314	291	14	l(r0)r0	l(r0)r0	NOUN
ejpam-314	291	15	)	)	PUNCT
ejpam-314	291	16	·	·	PUNCT
ejpam-314	292	1	(	(	PUNCT
ejpam-314	292	2	m	m	VERB
ejpam-314	292	3	+	+	NOUN
ejpam-314	292	4	ǫ	ǫ	X
ejpam-314	292	5	)	)	PUNCT
ejpam-314	292	6	+	+	CCONJ
ejpam-314	292	7	∑	∑	SYM
ejpam-314	292	8	ckl∈nr	ckl∈nr	NOUN
ejpam-314	292	9	(	(	PUNCT
ejpam-314	292	10	p	p	X
ejpam-314	292	11	,	,	PUNCT
ejpam-314	292	12	h	h	NOUN
ejpam-314	292	13	)	)	PUNCT
ejpam-314	292	14	c	c	NOUN
ejpam-314	292	15	kl	kl	PROPN
ejpam-314	292	16	ph	ph	X
ejpam-314	292	17	l(r1)r1eλτ	l(r1)r1eλτ	ADV
ejpam-314	292	18	·	·	PUNCT
ejpam-314	293	1	(	(	PUNCT
ejpam-314	293	2	m	m	VERB
ejpam-314	293	3	+	+	NOUN
ejpam-314	293	4	ǫ	ǫ	X
ejpam-314	293	5	)	)	PUNCT
ejpam-314	293	6	+	+	CCONJ
ejpam-314	293	7	∑	∑	PROPN
ejpam-314	293	8	ckl∈nq(p	ckl∈nq(p	PROPN
ejpam-314	293	9	,	,	PUNCT
ejpam-314	293	10	h	h	NOUN
ejpam-314	293	11	)	)	PUNCT
ejpam-314	293	12	b	b	NOUN
ejpam-314	293	13	kl	kl	X
ejpam-314	293	14	ph	ph	X
ejpam-314	293	15	�	�	PROPN
ejpam-314	293	16	f(0	f(0	PROPN
ejpam-314	293	17	)	)	PUNCT
ejpam-314	294	1	+	+	CCONJ
ejpam-314	294	2	l(r0)r0	l(r0)r0	PROPN
ejpam-314	294	3	�	�	PROPN
ejpam-314	294	4	·	·	PUNCT
ejpam-314	294	5	∫	∫	PROPN
ejpam-314	295	1	∞	∞	PROPN
ejpam-314	295	2	0	0	NUM
ejpam-314	295	3	�	�	PROPN
ejpam-314	295	4	�	�	PROPN
ejpam-314	295	5	ki	ki	PROPN
ejpam-314	295	6	j(u	j(u	PROPN
ejpam-314	295	7	)	)	PUNCT
ejpam-314	295	8	�	�	PROPN
ejpam-314	295	9	�	�	PROPN
ejpam-314	295	10	du	du	PROPN
ejpam-314	295	11	·	·	PUNCT
ejpam-314	295	12	(	(	PUNCT
ejpam-314	295	13	m	m	VERB
ejpam-314	295	14	+	+	NOUN
ejpam-314	295	15	ǫ	ǫ	X
ejpam-314	295	16	)	)	PUNCT
ejpam-314	295	17	+	+	CCONJ
ejpam-314	295	18	∑	∑	PROPN
ejpam-314	295	19	ckl∈nq(p	ckl∈nq(p	PROPN
ejpam-314	295	20	,	,	PUNCT
ejpam-314	295	21	h	h	NOUN
ejpam-314	295	22	)	)	PUNCT
ejpam-314	295	23	b	b	NOUN
ejpam-314	295	24	kl	kl	X
ejpam-314	295	25	ph	ph	PROPN
ejpam-314	295	26	l(r1)r1	l(r1)r1	PROPN
ejpam-314	295	27	∫	∫	PROPN
ejpam-314	295	28	∞	∞	PROPN
ejpam-314	295	29	0	0	NUM
ejpam-314	295	30	�	�	PROPN
ejpam-314	295	31	�	�	PROPN
ejpam-314	295	32	ki	ki	PROPN
ejpam-314	295	33	j(u	j(u	PROPN
ejpam-314	295	34	)	)	PUNCT
ejpam-314	295	35	�	�	PROPN
ejpam-314	295	36	�	�	PROPN
ejpam-314	295	37	eλudu	eλudu	NOUN
ejpam-314	295	38	·	·	PUNCT
ejpam-314	295	39	(	(	PUNCT
ejpam-314	295	40	m	m	VERB
ejpam-314	295	41	+	+	ADJ
ejpam-314	295	42	ǫ	ǫ	X
ejpam-314	295	43	)	)	PUNCT
ejpam-314	295	44	it	it	PRON
ejpam-314	295	45	follows	follow	VERB
ejpam-314	295	46	that	that	SCONJ
ejpam-314	295	47	:	:	PUNCT
ejpam-314	295	48	λ−	λ−	PROPN
ejpam-314	295	49	a	a	DET
ejpam-314	295	50	ph	ph	PROPN
ejpam-314	295	51	+	+	NOUN
ejpam-314	295	52	∑	∑	PROPN
ejpam-314	295	53	ckl∈nr(p	ckl∈nr(p	ADJ
ejpam-314	295	54	,	,	PUNCT
ejpam-314	295	55	h	h	NOUN
ejpam-314	295	56	)	)	PUNCT
ejpam-314	295	57	c	c	NOUN
ejpam-314	295	58	kl	kl	PROPN
ejpam-314	295	59	ph	ph	X
ejpam-314	295	60	(	(	PUNCT
ejpam-314	295	61	f(0	f(0	NOUN
ejpam-314	295	62	)	)	PUNCT
ejpam-314	295	63	+	+	CCONJ
ejpam-314	296	1	l(r0)r0	l(r0)r0	NOUN
ejpam-314	296	2	+	+	CCONJ
ejpam-314	296	3	l(r1)r1eλτ	l(r1)r1eλτ	ADV
ejpam-314	296	4	)	)	PUNCT
ejpam-314	296	5	+	+	CCONJ
ejpam-314	296	6	∑	∑	PROPN
ejpam-314	296	7	ckl∈nq(p	ckl∈nq(p	PROPN
ejpam-314	296	8	,	,	PUNCT
ejpam-314	296	9	h	h	NOUN
ejpam-314	296	10	)	)	PUNCT
ejpam-314	296	11	b	b	NOUN
ejpam-314	296	12	kl	kl	X
ejpam-314	296	13	ph	ph	X
ejpam-314	296	14	·	·	PUNCT
ejpam-314	296	15	�	�	PROPN
ejpam-314	296	16	(	(	PUNCT
ejpam-314	296	17	f(0	f(0	NOUN
ejpam-314	296	18	)	)	PUNCT
ejpam-314	296	19	+	+	SYM
ejpam-314	296	20	l(r0)r0	l(r0)r0	NOUN
ejpam-314	296	21	)	)	PUNCT
ejpam-314	296	22	∫	∫	PROPN
ejpam-314	297	1	∞	∞	PROPN
ejpam-314	297	2	0	0	NUM
ejpam-314	297	3	�	�	PROPN
ejpam-314	297	4	�	�	PROPN
ejpam-314	297	5	ki	ki	PROPN
ejpam-314	297	6	j(u	j(u	PROPN
ejpam-314	297	7	)	)	PUNCT
ejpam-314	297	8	�	�	PROPN
ejpam-314	297	9	�	�	PROPN
ejpam-314	297	10	du+	du+	PROPN
ejpam-314	297	11	l(r1)r1	l(r1)r1	PROPN
ejpam-314	297	12	∫	∫	PROPN
ejpam-314	297	13	∞	∞	PROPN
ejpam-314	297	14	0	0	NUM
ejpam-314	297	15	�	�	PROPN
ejpam-314	297	16	�	�	PROPN
ejpam-314	297	17	ki	ki	PROPN
ejpam-314	297	18	j(u	j(u	PROPN
ejpam-314	297	19	)	)	PUNCT
ejpam-314	297	20	�	�	PROPN
ejpam-314	297	21	�	�	PROPN
ejpam-314	297	22	eλudu	eλudu	PROPN
ejpam-314	297	23	�	�	PROPN
ejpam-314	297	24	≥	≥	NUM
ejpam-314	297	25	0	0	NUM
ejpam-314	297	26	,	,	PUNCT
ejpam-314	297	27	that	that	PRON
ejpam-314	297	28	is	be	AUX
ejpam-314	297	29	γph(λ)≥	γph(λ)≥	NUM
ejpam-314	297	30	0	0	NUM
ejpam-314	297	31	.	.	PUNCT
ejpam-314	298	1	this	this	PRON
ejpam-314	298	2	contradicts	contradict	VERB
ejpam-314	298	3	with	with	ADP
ejpam-314	298	4	(	(	PUNCT
ejpam-314	298	5	3.1	3.1	NUM
ejpam-314	298	6	)	)	PUNCT
ejpam-314	298	7	.	.	PUNCT
ejpam-314	299	1	hence	hence	ADV
ejpam-314	299	2	,	,	PUNCT
ejpam-314	299	3	(	(	PUNCT
ejpam-314	299	4	3.2	3.2	NUM
ejpam-314	299	5	)	)	PUNCT
ejpam-314	299	6	holds	hold	NOUN
ejpam-314	299	7	,	,	PUNCT
ejpam-314	299	8	i.e.	i.e.	X
ejpam-314	299	9	,	,	PUNCT
ejpam-314	299	10	�	�	PROPN
ejpam-314	299	11	�	�	PROPN
ejpam-314	299	12	�	�	PROPN
ejpam-314	299	13	x	x	PROPN
ejpam-314	299	14	i	i	PRON
ejpam-314	299	15	j(t)−	j(t)−	PROPN
ejpam-314	299	16	x∗	x∗	PROPN
ejpam-314	300	1	i	i	PRON
ejpam-314	300	2	j	j	PROPN
ejpam-314	300	3	(	(	PUNCT
ejpam-314	300	4	t	t	PROPN
ejpam-314	300	5	)	)	PUNCT
ejpam-314	300	6	�	�	PROPN
ejpam-314	300	7	�	�	PROPN
ejpam-314	300	8	�	�	PROPN
ejpam-314	300	9	eλt	eλt	PROPN
ejpam-314	300	10	=	=	PROPN
ejpam-314	300	11	zi	zi	PROPN
ejpam-314	300	12	j(t)≤	j(t)≤	PROPN
ejpam-314	300	13	m	m	PROPN
ejpam-314	300	14	+	+	X
ejpam-314	300	15	ǫ,∀	ǫ,∀	NUM
ejpam-314	300	16	t	t	NOUN
ejpam-314	300	17	>	>	X
ejpam-314	300	18	0	0	PROPN
ejpam-314	300	19	,	,	PUNCT
ejpam-314	300	20	i	i	PRON
ejpam-314	300	21	=	=	NOUN
ejpam-314	300	22	1	1	NUM
ejpam-314	300	23	,	,	PUNCT
ejpam-314	300	24	·	·	PUNCT
ejpam-314	300	25	·	·	PUNCT
ejpam-314	300	26	·	·	PUNCT
ejpam-314	300	27	,	,	PUNCT
ejpam-314	300	28	m	m	PROPN
ejpam-314	300	29	,	,	PUNCT
ejpam-314	300	30	j	j	PROPN
ejpam-314	300	31	=	=	SYM
ejpam-314	300	32	1	1	NUM
ejpam-314	300	33	,	,	PUNCT
ejpam-314	300	34	·	·	PUNCT
ejpam-314	300	35	·	·	PUNCT
ejpam-314	300	36	·	·	PUNCT
ejpam-314	300	37	,	,	PUNCT
ejpam-314	300	38	n.	n.	PROPN
ejpam-314	300	39	therefore	therefore	ADV
ejpam-314	300	40	,	,	PUNCT
ejpam-314	300	41	‖x(t)−	‖x(t)−	PROPN
ejpam-314	300	42	x∗(t)‖=max	x∗(t)‖=max	PUNCT
ejpam-314	301	1	(	(	PUNCT
ejpam-314	301	2	i	i	PRON
ejpam-314	301	3	,	,	PUNCT
ejpam-314	301	4	j	j	PROPN
ejpam-314	301	5	)	)	PUNCT
ejpam-314	301	6	�	�	PROPN
ejpam-314	301	7	�	�	PROPN
ejpam-314	301	8	�	�	PROPN
ejpam-314	301	9	x	x	PROPN
ejpam-314	301	10	i	i	PRON
ejpam-314	301	11	j(t)−	j(t)−	PROPN
ejpam-314	301	12	x∗	x∗	PROPN
ejpam-314	302	1	i	i	PRON
ejpam-314	302	2	j	j	PROPN
ejpam-314	302	3	(	(	PUNCT
ejpam-314	302	4	t	t	PROPN
ejpam-314	302	5	)	)	PUNCT
ejpam-314	302	6	�	�	PROPN
ejpam-314	302	7	�	�	PROPN
ejpam-314	302	8	�	�	PROPN
ejpam-314	302	9	≤	≤	NOUN
ejpam-314	302	10	(	(	PUNCT
ejpam-314	302	11	m	m	VERB
ejpam-314	302	12	+	+	NOUN
ejpam-314	302	13	ǫ)e−λt	ǫ)e−λt	NOUN
ejpam-314	302	14	,	,	PUNCT
ejpam-314	302	15	∀	∀	X
ejpam-314	302	16	t	t	NOUN
ejpam-314	302	17	>	>	X
ejpam-314	302	18	0	0	X
ejpam-314	302	19	.	.	PUNCT
ejpam-314	303	1	let	let	VERB
ejpam-314	303	2	ǫ→	ǫ→	PROPN
ejpam-314	303	3	0	0	NUM
ejpam-314	303	4	,	,	PUNCT
ejpam-314	303	5	we	we	PRON
ejpam-314	303	6	get	get	VERB
ejpam-314	303	7	‖x(t)−	‖x(t)−	PROPN
ejpam-314	303	8	x∗(t)‖	x∗(t)‖	NUM
ejpam-314	303	9	≤	≤	NUM
ejpam-314	303	10	me−λt	me−λt	NOUN
ejpam-314	303	11	,	,	PUNCT
ejpam-314	303	12	∀	∀	X
ejpam-314	303	13	t	t	NOUN
ejpam-314	303	14	>	>	X
ejpam-314	303	15	0	0	X
ejpam-314	303	16	.	.	PUNCT
ejpam-314	303	17	a.	a.	PROPN
ejpam-314	303	18	wu	wu	PROPN
ejpam-314	303	19	and	and	CCONJ
ejpam-314	303	20	c.	c.	PROPN
ejpam-314	303	21	fu	fu	PROPN
ejpam-314	303	22	/	/	SYM
ejpam-314	303	23	eur	eur	PROPN
ejpam-314	303	24	.	.	PUNCT
ejpam-314	304	1	j.	j.	PROPN
ejpam-314	304	2	pure	pure	PROPN
ejpam-314	304	3	appl	appl	PROPN
ejpam-314	304	4	.	.	PROPN
ejpam-314	304	5	math	math	PROPN
ejpam-314	304	6	,	,	PUNCT
ejpam-314	304	7	2	2	NUM
ejpam-314	304	8	(	(	PUNCT
ejpam-314	304	9	2009	2009	NUM
ejpam-314	304	10	)	)	PUNCT
ejpam-314	304	11	,	,	PUNCT
ejpam-314	304	12	(	(	PUNCT
ejpam-314	304	13	448	448	NUM
ejpam-314	304	14	-	-	SYM
ejpam-314	304	15	461	461	NUM
ejpam-314	304	16	)	)	PUNCT
ejpam-314	304	17	459	459	NUM
ejpam-314	304	18	4	4	NUM
ejpam-314	304	19	.	.	X
ejpam-314	304	20	illustrative	illustrative	ADJ
ejpam-314	304	21	example	example	NOUN
ejpam-314	304	22	consider	consider	VERB
ejpam-314	304	23	sicnns	sicnn	NOUN
ejpam-314	304	24	(	(	PUNCT
ejpam-314	304	25	1.1	1.1	NUM
ejpam-314	304	26	)	)	PUNCT
ejpam-314	304	27	described	describe	VERB
ejpam-314	304	28	by	by	ADP
ejpam-314	304	29	i	i	PROPN
ejpam-314	304	30	,	,	PUNCT
ejpam-314	304	31	j	j	PROPN
ejpam-314	305	1	=	=	SYM
ejpam-314	306	1	1	1	NUM
ejpam-314	306	2	,	,	PUNCT
ejpam-314	306	3	2	2	NUM
ejpam-314	306	4	,	,	PUNCT
ejpam-314	306	5	3	3	NUM
ejpam-314	306	6	,	,	PUNCT
ejpam-314	306	7	τ(t	τ(t	ADJ
ejpam-314	306	8	)	)	PUNCT
ejpam-314	307	1	=	=	SYM
ejpam-314	307	2	cos2	cos2	PROPN
ejpam-314	307	3	t	t	PROPN
ejpam-314	307	4	,	,	PUNCT
ejpam-314	307	5	f	f	PROPN
ejpam-314	307	6	(	(	PUNCT
ejpam-314	307	7	x	x	X
ejpam-314	307	8	)	)	PUNCT
ejpam-314	307	9	=	=	SYM
ejpam-314	307	10	g(x	g(x	NOUN
ejpam-314	307	11	)	)	PUNCT
ejpam-314	307	12	=	=	PUNCT
ejpam-314	308	1	x4	x4	PROPN
ejpam-314	308	2	+	+	PROPN
ejpam-314	308	3	1	1	NUM
ejpam-314	308	4	6	6	NUM
ejpam-314	308	5	,	,	PUNCT
ejpam-314	308	6	ki	ki	PROPN
ejpam-314	308	7	j(u	j(u	PROPN
ejpam-314	308	8	)	)	PUNCT
ejpam-314	308	9	=	=	PUNCT
ejpam-314	308	10	e−u	e−u	PROPN
ejpam-314	308	11	sin	sin	NOUN
ejpam-314	308	12	u	u	NOUN
ejpam-314	308	13	,	,	PUNCT
ejpam-314	308	14	ai	ai	VERB
ejpam-314	308	15	j(t	j(t	PROPN
ejpam-314	308	16	)	)	PUNCT
ejpam-314	309	1	=	=	SYM
ejpam-314	309	2			PROPN
ejpam-314	309	3			NOUN
ejpam-314	309	4			NOUN
ejpam-314	309	5			NOUN
ejpam-314	309	6			NOUN
ejpam-314	309	7			NOUN
ejpam-314	309	8	5	5	NUM
ejpam-314	309	9	+	+	NUM
ejpam-314	309	10	|sin	|sin	NOUN
ejpam-314	309	11	t	t	NOUN
ejpam-314	309	12	|	|	ADV
ejpam-314	309	13	5	5	NUM
ejpam-314	309	14	+	+	NUM
ejpam-314	309	15	�	�	PROPN
ejpam-314	309	16	�	�	PROPN
ejpam-314	309	17	sin	sin	NOUN
ejpam-314	309	18	p	p	PROPN
ejpam-314	309	19	2	2	NUM
ejpam-314	309	20	t	t	NOUN
ejpam-314	309	21	�	�	PROPN
ejpam-314	309	22	�	�	PROPN
ejpam-314	309	23	9	9	NUM
ejpam-314	309	24	+	+	NUM
ejpam-314	309	25	|sin	|sin	NOUN
ejpam-314	309	26	t	t	NOUN
ejpam-314	309	27	|	|	ADV
ejpam-314	309	28	6	6	NUM
ejpam-314	309	29	+	+	NUM
ejpam-314	309	30	|sin	|sin	NOUN
ejpam-314	309	31	t	t	NOUN
ejpam-314	309	32	|	|	ADV
ejpam-314	309	33	6	6	NUM
ejpam-314	309	34	+	+	NUM
ejpam-314	309	35	|sin	|sin	NOUN
ejpam-314	309	36	t	t	NOUN
ejpam-314	309	37	|	|	ADV
ejpam-314	309	38	7	7	NUM
ejpam-314	309	39	+	+	NUM
ejpam-314	309	40	|sin	|sin	NOUN
ejpam-314	309	41	t	t	NOUN
ejpam-314	309	42	|	|	ADV
ejpam-314	309	43	8	8	NUM
ejpam-314	309	44	+	+	NUM
ejpam-314	309	45	|sin	|sin	NOUN
ejpam-314	309	46	t	t	NOUN
ejpam-314	309	47	|	|	ADV
ejpam-314	309	48	8	8	NUM
ejpam-314	309	49	+	+	NUM
ejpam-314	309	50	|sin	|sin	NOUN
ejpam-314	309	51	t	t	NOUN
ejpam-314	309	52	|	|	ADV
ejpam-314	310	1	5	5	NUM
ejpam-314	310	2	+	+	NUM
ejpam-314	310	3	�	�	PROPN
ejpam-314	310	4	�	�	PROPN
ejpam-314	310	5	sin	sin	NOUN
ejpam-314	310	6	p	p	PROPN
ejpam-314	310	7	3	3	NUM
ejpam-314	310	8	t	t	NOUN
ejpam-314	310	9	�	�	PROPN
ejpam-314	310	10	�	�	PROPN
ejpam-314	310	11			PROPN
ejpam-314	310	12			NOUN
ejpam-314	310	13			VERB
ejpam-314	310	14			NOUN
ejpam-314	310	15			NOUN
ejpam-314	310	16			PUNCT
ejpam-314	310	17	,	,	PUNCT
ejpam-314	310	18	ci	ci	PROPN
ejpam-314	310	19	j(t	j(t	PROPN
ejpam-314	310	20	)	)	PUNCT
ejpam-314	311	1	=	=	SYM
ejpam-314	311	2	bi	bi	PROPN
ejpam-314	311	3	j(t	j(t	PROPN
ejpam-314	311	4	)	)	PUNCT
ejpam-314	311	5	=	=	SYM
ejpam-314	311	6	�	�	PROPN
ejpam-314	311	7	�	�	PROPN
ejpam-314	311	8	sin	sin	NOUN
ejpam-314	311	9	p	p	PROPN
ejpam-314	311	10	3	3	NUM
ejpam-314	311	11	t	t	NOUN
ejpam-314	311	12	�	�	PROPN
ejpam-314	311	13	�	�	PROPN
ejpam-314	311	14			PROPN
ejpam-314	311	15			NOUN
ejpam-314	311	16			NOUN
ejpam-314	311	17			NOUN
ejpam-314	311	18			NOUN
ejpam-314	311	19			NOUN
ejpam-314	311	20	1	1	NUM
ejpam-314	311	21	10	10	NUM
ejpam-314	311	22	3	3	NUM
ejpam-314	311	23	10	10	NUM
ejpam-314	311	24	1	1	NUM
ejpam-314	311	25	2	2	NUM
ejpam-314	311	26	1	1	NUM
ejpam-314	311	27	5	5	NUM
ejpam-314	311	28	1	1	NUM
ejpam-314	311	29	10	10	NUM
ejpam-314	311	30	1	1	NUM
ejpam-314	311	31	5	5	NUM
ejpam-314	311	32	1	1	NUM
ejpam-314	311	33	10	10	NUM
ejpam-314	311	34	1	1	NUM
ejpam-314	311	35	5	5	NUM
ejpam-314	311	36	1	1	NUM
ejpam-314	311	37	10	10	NUM
ejpam-314	311	38			NOUN
ejpam-314	311	39			NOUN
ejpam-314	311	40			VERB
ejpam-314	311	41			NOUN
ejpam-314	311	42			NOUN
ejpam-314	311	43			PROPN
ejpam-314	311	44	,	,	PUNCT
ejpam-314	311	45	li	li	PROPN
ejpam-314	311	46	j(t	j(t	PROPN
ejpam-314	311	47	)	)	PUNCT
ejpam-314	311	48	=	=	SYM
ejpam-314	311	49			PROPN
ejpam-314	311	50			NOUN
ejpam-314	311	51			NOUN
ejpam-314	311	52			NOUN
ejpam-314	311	53			NOUN
ejpam-314	311	54			NOUN
ejpam-314	311	55	sin	sin	VERB
ejpam-314	311	56	t	t	PROPN
ejpam-314	311	57	sin	sin	PROPN
ejpam-314	311	58	t	t	PROPN
ejpam-314	311	59	cos	cos	PROPN
ejpam-314	311	60	t	t	PROPN
ejpam-314	311	61	sin	sin	VERB
ejpam-314	311	62	t+sin	t+sin	INTJ
ejpam-314	311	63	p	p	ADJ
ejpam-314	311	64	2	2	NUM
ejpam-314	311	65	t	t	NOUN
ejpam-314	311	66	2	2	NUM
ejpam-314	311	67	cos	cos	PROPN
ejpam-314	311	68	t	t	PROPN
ejpam-314	311	69	cos	cos	PROPN
ejpam-314	311	70	t	t	PROPN
ejpam-314	311	71	cos	cos	PROPN
ejpam-314	311	72	t	t	PROPN
ejpam-314	311	73	cos	cos	PROPN
ejpam-314	311	74	t+cos	t+cos	PROPN
ejpam-314	311	75	p	p	NOUN
ejpam-314	311	76	3	3	NUM
ejpam-314	311	77	t	t	NOUN
ejpam-314	311	78	2	2	NUM
ejpam-314	311	79	sin	sin	NOUN
ejpam-314	311	80	t	t	PROPN
ejpam-314	311	81			PROPN
ejpam-314	311	82			NOUN
ejpam-314	311	83			VERB
ejpam-314	311	84			NOUN
ejpam-314	311	85			NOUN
ejpam-314	311	86			PUNCT
ejpam-314	311	87	.	.	PUNCT
ejpam-314	312	1	obviously	obviously	ADV
ejpam-314	312	2	,	,	PUNCT
ejpam-314	312	3	let	let	VERB
ejpam-314	312	4	l(r	l(r	PROPN
ejpam-314	312	5	)	)	PUNCT
ejpam-314	312	6	=	=	SYM
ejpam-314	312	7	2	2	NUM
ejpam-314	312	8	3	3	NUM
ejpam-314	312	9	r3	r3	NOUN
ejpam-314	312	10	and	and	CCONJ
ejpam-314	312	11	r0	r0	NOUN
ejpam-314	312	12	=	=	SYM
ejpam-314	312	13	1	1	NUM
ejpam-314	312	14	,	,	PUNCT
ejpam-314	312	15	then	then	ADV
ejpam-314	312	16	we	we	PRON
ejpam-314	312	17	get	get	VERB
ejpam-314	312	18	d	d	NOUN
ejpam-314	312	19	≤	≤	NOUN
ejpam-314	312	20	0.6	0.6	NUM
ejpam-314	312	21	,	,	PUNCT
ejpam-314	312	22	l	l	NOUN
ejpam-314	312	23	=	=	PUNCT
ejpam-314	312	24	0.2	0.2	NUM
ejpam-314	312	25	,	,	PUNCT
ejpam-314	313	1	so	so	ADV
ejpam-314	313	2	d[f(0)r0	d[f(0)r0	PROPN
ejpam-314	313	3	+	+	CCONJ
ejpam-314	313	4	l(r0)r	l(r0)r	NOUN
ejpam-314	313	5	2	2	NUM
ejpam-314	313	6	0	0	NUM
ejpam-314	313	7	]	]	PUNCT
ejpam-314	314	1	+	+	NUM
ejpam-314	314	2	l	l	NOUN
ejpam-314	314	3	≤	≤	NOUN
ejpam-314	314	4	0.7	0.7	NUM
ejpam-314	314	5	<	<	SYM
ejpam-314	314	6	1	1	NUM
ejpam-314	314	7	=	=	SYM
ejpam-314	314	8	r0	r0	NOUN
ejpam-314	314	9	,	,	PUNCT
ejpam-314	314	10	df(0	df(0	PROPN
ejpam-314	314	11	)	)	PUNCT
ejpam-314	314	12	+	+	X
ejpam-314	314	13	2dl(r0)r0	2dl(r0)r0	ADJ
ejpam-314	314	14	≤	≤	NUM
ejpam-314	314	15	0.81	0.81	NUM
ejpam-314	314	16	<	<	SYM
ejpam-314	314	17	1	1	NUM
ejpam-314	314	18	.	.	PUNCT
ejpam-314	314	19	from	from	ADP
ejpam-314	314	20	theorem	theorem	ADJ
ejpam-314	314	21	2.1	2.1	NUM
ejpam-314	314	22	,	,	PUNCT
ejpam-314	314	23	the	the	DET
ejpam-314	314	24	system	system	NOUN
ejpam-314	314	25	in	in	ADP
ejpam-314	314	26	example	example	NOUN
ejpam-314	314	27	has	have	VERB
ejpam-314	314	28	a	a	DET
ejpam-314	314	29	unique	unique	ADJ
ejpam-314	314	30	almost	almost	ADV
ejpam-314	314	31	periodic	periodic	ADJ
ejpam-314	314	32	solution	solution	NOUN
ejpam-314	314	33	in	in	ADP
ejpam-314	314	34	the	the	DET
ejpam-314	314	35	region	region	NOUN
ejpam-314	314	36	ϕ	ϕ	PROPN
ejpam-314	314	37	b	b	PROPN
ejpam-314	314	38	≤	≤	NUM
ejpam-314	314	39	1	1	NUM
ejpam-314	314	40	.	.	PUNCT
ejpam-314	315	1	take	take	VERB
ejpam-314	315	2	r1	r1	NOUN
ejpam-314	315	3	=	=	PUNCT
ejpam-314	315	4	4	4	NUM
ejpam-314	315	5	æ	æ	SYM
ejpam-314	315	6	51	51	NUM
ejpam-314	315	7	50	50	NUM
ejpam-314	315	8	,	,	PUNCT
ejpam-314	315	9	then	then	ADV
ejpam-314	315	10	d[f(0	d[f(0	PROPN
ejpam-314	315	11	)	)	PUNCT
ejpam-314	316	1	+	+	CCONJ
ejpam-314	316	2	l(r0)r0	l(r0)r0	NOUN
ejpam-314	316	3	+	+	CCONJ
ejpam-314	316	4	l(r1)r1	l(r1)r1	NOUN
ejpam-314	316	5	]	]	PUNCT
ejpam-314	316	6	<	<	X
ejpam-314	316	7	1	1	X
ejpam-314	316	8	.	.	PUNCT
ejpam-314	316	9	from	from	ADP
ejpam-314	316	10	theorem	theorem	ADJ
ejpam-314	316	11	3.1	3.1	NUM
ejpam-314	316	12	,	,	PUNCT
ejpam-314	316	13	all	all	DET
ejpam-314	316	14	the	the	DET
ejpam-314	316	15	solutions	solution	NOUN
ejpam-314	316	16	with	with	ADP
ejpam-314	316	17	initial	initial	ADJ
ejpam-314	316	18	value	value	NOUN
ejpam-314	316	19	sup	sup	NOUN
ejpam-314	316	20	t∈[−1,0	t∈[−1,0	X
ejpam-314	316	21	]	]	PUNCT
ejpam-314	316	22	ϕ(t	ϕ(t	NUM
ejpam-314	316	23	)	)	PUNCT
ejpam-314	316	24	≤	≤	NUM
ejpam-314	316	25	r1	r1	PROPN
ejpam-314	316	26	converge	converge	VERB
ejpam-314	316	27	exponentially	exponentially	ADV
ejpam-314	316	28	to	to	ADP
ejpam-314	316	29	the	the	DET
ejpam-314	316	30	unique	unique	ADJ
ejpam-314	316	31	almost	almost	ADV
ejpam-314	316	32	periodic	periodic	ADJ
ejpam-314	316	33	solution	solution	NOUN
ejpam-314	316	34	in	in	ADP
ejpam-314	316	35	the	the	DET
ejpam-314	316	36	region	region	NOUN
ejpam-314	316	37	ϕ	ϕ	PROPN
ejpam-314	316	38	b	b	PROPN
ejpam-314	316	39	≤	≤	ADV
ejpam-314	316	40	1	1	NUM
ejpam-314	316	41	as	as	ADP
ejpam-314	316	42	t	t	PROPN
ejpam-314	316	43	→	→	PUNCT
ejpam-314	316	44	+	+	PROPN
ejpam-314	316	45	∞.	∞.	PROPN
ejpam-314	316	46	5	5	NUM
ejpam-314	316	47	.	.	PUNCT
ejpam-314	317	1	conclusion	conclusion	NOUN
ejpam-314	317	2	in	in	ADP
ejpam-314	317	3	this	this	DET
ejpam-314	317	4	paper	paper	NOUN
ejpam-314	317	5	,	,	PUNCT
ejpam-314	317	6	some	some	DET
ejpam-314	317	7	new	new	ADJ
ejpam-314	317	8	sufficient	sufficient	ADJ
ejpam-314	317	9	conditions	condition	NOUN
ejpam-314	317	10	are	be	AUX
ejpam-314	317	11	established	establish	VERB
ejpam-314	317	12	to	to	PART
ejpam-314	317	13	ensure	ensure	VERB
ejpam-314	317	14	the	the	DET
ejpam-314	317	15	existence	existence	NOUN
ejpam-314	317	16	and	and	CCONJ
ejpam-314	317	17	exponential	exponential	ADJ
ejpam-314	317	18	stability	stability	NOUN
ejpam-314	317	19	of	of	ADP
ejpam-314	317	20	almost	almost	ADV
ejpam-314	317	21	periodic	periodic	ADJ
ejpam-314	317	22	solutions	solution	NOUN
ejpam-314	317	23	for	for	ADP
ejpam-314	317	24	sicnns	sicnn	NOUN
ejpam-314	317	25	with	with	ADP
ejpam-314	317	26	timevarying	timevarying	NOUN
ejpam-314	317	27	and	and	CCONJ
ejpam-314	317	28	distributed	distribute	VERB
ejpam-314	317	29	delays	delay	NOUN
ejpam-314	317	30	.	.	PUNCT
ejpam-314	318	1	since	since	SCONJ
ejpam-314	318	2	we	we	PRON
ejpam-314	318	3	do	do	AUX
ejpam-314	318	4	not	not	PART
ejpam-314	318	5	need	need	VERB
ejpam-314	318	6	the	the	DET
ejpam-314	318	7	neuron	neuron	NOUN
ejpam-314	318	8	activations	activation	NOUN
ejpam-314	318	9	to	to	PART
ejpam-314	318	10	satisfy	satisfy	VERB
ejpam-314	318	11	global	global	ADJ
ejpam-314	318	12	lipschitz	lipschitz	NOUN
ejpam-314	318	13	conditions	condition	NOUN
ejpam-314	318	14	,	,	PUNCT
ejpam-314	318	15	the	the	DET
ejpam-314	318	16	result	result	NOUN
ejpam-314	318	17	in	in	ADP
ejpam-314	318	18	this	this	DET
ejpam-314	318	19	paper	paper	NOUN
ejpam-314	318	20	is	be	AUX
ejpam-314	318	21	new	new	ADJ
ejpam-314	318	22	,	,	PUNCT
ejpam-314	318	23	and	and	CCONJ
ejpam-314	318	24	it	it	PRON
ejpam-314	318	25	is	be	AUX
ejpam-314	318	26	also	also	ADV
ejpam-314	318	27	valuable	valuable	ADJ
ejpam-314	318	28	in	in	ADP
ejpam-314	318	29	the	the	DET
ejpam-314	318	30	design	design	NOUN
ejpam-314	318	31	of	of	ADP
ejpam-314	318	32	neural	neural	ADJ
ejpam-314	318	33	networks	network	NOUN
ejpam-314	318	34	which	which	PRON
ejpam-314	318	35	is	be	AUX
ejpam-314	318	36	used	use	VERB
ejpam-314	318	37	to	to	PART
ejpam-314	318	38	solve	solve	VERB
ejpam-314	318	39	efficiently	efficiently	ADV
ejpam-314	318	40	problems	problem	NOUN
ejpam-314	318	41	arising	arise	VERB
ejpam-314	318	42	in	in	ADP
ejpam-314	318	43	practical	practical	ADJ
ejpam-314	318	44	engineering	engineering	NOUN
ejpam-314	318	45	applications	application	NOUN
ejpam-314	318	46	.	.	PUNCT
ejpam-314	319	1	references	reference	NOUN
ejpam-314	319	2	460	460	NUM
ejpam-314	319	3	acknowledgements	acknowledgement	NOUN
ejpam-314	319	4	the	the	DET
ejpam-314	319	5	work	work	NOUN
ejpam-314	319	6	is	be	AUX
ejpam-314	319	7	supported	support	VERB
ejpam-314	319	8	by	by	ADP
ejpam-314	319	9	key	key	ADJ
ejpam-314	319	10	science	science	NOUN
ejpam-314	319	11	foundation	foundation	NOUN
ejpam-314	319	12	of	of	ADP
ejpam-314	319	13	educational	educational	ADJ
ejpam-314	319	14	department	department	PROPN
ejpam-314	319	15	of	of	ADP
ejpam-314	319	16	hubei	hubei	PROPN
ejpam-314	319	17	province	province	PROPN
ejpam-314	319	18	under	under	ADP
ejpam-314	319	19	grant	grant	NOUN
ejpam-314	319	20	d20082201	d20082201	NOUN
ejpam-314	319	21	,	,	PUNCT
ejpam-314	319	22	innovation	innovation	NOUN
ejpam-314	319	23	teams	team	NOUN
ejpam-314	319	24	of	of	ADP
ejpam-314	319	25	hubei	hubei	PROPN
ejpam-314	319	26	normal	normal	ADJ
ejpam-314	319	27	university	university	NOUN
ejpam-314	319	28	and	and	CCONJ
ejpam-314	319	29	innovation	innovation	NOUN
ejpam-314	319	30	scientific	scientific	ADJ
ejpam-314	319	31	research	research	NOUN
ejpam-314	319	32	foundation	foundation	NOUN
ejpam-314	319	33	of	of	ADP
ejpam-314	319	34	hubei	hubei	PROPN
ejpam-314	319	35	normal	normal	ADJ
ejpam-314	319	36	university	university	NOUN
ejpam-314	319	37	.	.	PUNCT
ejpam-314	320	1	references	reference	NOUN
ejpam-314	320	2	[	[	X
ejpam-314	320	3	1	1	NUM
ejpam-314	320	4	]	]	PUNCT
ejpam-314	320	5	b.	b.	PROPN
ejpam-314	320	6	liu	liu	PROPN
ejpam-314	320	7	and	and	CCONJ
ejpam-314	320	8	l.	l.	PROPN
ejpam-314	320	9	huang	huang	PROPN
ejpam-314	320	10	,	,	PUNCT
ejpam-314	320	11	existence	existence	NOUN
ejpam-314	320	12	and	and	CCONJ
ejpam-314	320	13	stability	stability	NOUN
ejpam-314	320	14	of	of	ADP
ejpam-314	320	15	almost	almost	ADV
ejpam-314	320	16	periodic	periodic	ADJ
ejpam-314	320	17	solutions	solution	NOUN
ejpam-314	320	18	for	for	ADP
ejpam-314	320	19	shunting	shunt	VERB
ejpam-314	320	20	inhibitory	inhibitory	ADJ
ejpam-314	320	21	cellular	cellular	ADJ
ejpam-314	320	22	neural	neural	ADJ
ejpam-314	320	23	networks	network	NOUN
ejpam-314	320	24	with	with	ADP
ejpam-314	320	25	continuously	continuously	ADV
ejpam-314	320	26	distributed	distribute	VERB
ejpam-314	320	27	delays	delay	NOUN
ejpam-314	320	28	,	,	PUNCT
ejpam-314	320	29	physics	physics	NOUN
ejpam-314	320	30	letters	letter	NOUN
ejpam-314	320	31	a	a	PRON
ejpam-314	320	32	,	,	PUNCT
ejpam-314	320	33	349	349	NUM
ejpam-314	320	34	(	(	PUNCT
ejpam-314	320	35	2006	2006	NUM
ejpam-314	320	36	)	)	PUNCT
ejpam-314	320	37	,	,	PUNCT
ejpam-314	320	38	177	177	NUM
ejpam-314	320	39	-	-	SYM
ejpam-314	320	40	186	186	NUM
ejpam-314	320	41	.	.	PUNCT
ejpam-314	321	1	[	[	X
ejpam-314	321	2	2	2	X
ejpam-314	321	3	]	]	X
ejpam-314	321	4	y.	y.	PROPN
ejpam-314	321	5	xia	xia	PROPN
ejpam-314	321	6	,	,	PUNCT
ejpam-314	321	7	j.	j.	PROPN
ejpam-314	321	8	cao	cao	PROPN
ejpam-314	321	9	,	,	PUNCT
ejpam-314	321	10	and	and	CCONJ
ejpam-314	321	11	z.	z.	PROPN
ejpam-314	321	12	huang	huang	PROPN
ejpam-314	321	13	,	,	PUNCT
ejpam-314	321	14	existence	existence	NOUN
ejpam-314	321	15	and	and	CCONJ
ejpam-314	321	16	exponential	exponential	ADJ
ejpam-314	321	17	stability	stability	NOUN
ejpam-314	321	18	of	of	ADP
ejpam-314	321	19	almost	almost	ADV
ejpam-314	321	20	periodic	periodic	ADJ
ejpam-314	321	21	solution	solution	NOUN
ejpam-314	321	22	for	for	ADP
ejpam-314	321	23	shunting	shunt	VERB
ejpam-314	321	24	inhibitory	inhibitory	ADJ
ejpam-314	321	25	cellular	cellular	ADJ
ejpam-314	321	26	neural	neural	ADJ
ejpam-314	321	27	networks	network	NOUN
ejpam-314	321	28	with	with	ADP
ejpam-314	321	29	impulses	impulse	NOUN
ejpam-314	321	30	,	,	PUNCT
ejpam-314	321	31	chaos	chaos	NOUN
ejpam-314	321	32	,	,	PUNCT
ejpam-314	321	33	solitons	soliton	NOUN
ejpam-314	321	34	and	and	CCONJ
ejpam-314	321	35	fractals	fractal	NOUN
ejpam-314	321	36	,	,	PUNCT
ejpam-314	321	37	34	34	NUM
ejpam-314	321	38	(	(	PUNCT
ejpam-314	321	39	2007	2007	NUM
ejpam-314	321	40	)	)	PUNCT
ejpam-314	321	41	,	,	PUNCT
ejpam-314	321	42	1599	1599	NUM
ejpam-314	321	43	-	-	SYM
ejpam-314	321	44	1607	1607	NUM
ejpam-314	321	45	.	.	PUNCT
ejpam-314	322	1	[	[	X
ejpam-314	322	2	3	3	X
ejpam-314	322	3	]	]	PUNCT
ejpam-314	322	4	q.	q.	PROPN
ejpam-314	322	5	zhou	zhou	PROPN
ejpam-314	322	6	,	,	PUNCT
ejpam-314	322	7	b.	b.	PROPN
ejpam-314	322	8	xiao	xiao	PROPN
ejpam-314	322	9	,	,	PUNCT
ejpam-314	322	10	y.	y.	PROPN
ejpam-314	322	11	yu	yu	PROPN
ejpam-314	322	12	,	,	PUNCT
ejpam-314	322	13	and	and	CCONJ
ejpam-314	322	14	l.	l.	PROPN
ejpam-314	322	15	peng	peng	PROPN
ejpam-314	322	16	,	,	PUNCT
ejpam-314	322	17	existence	existence	NOUN
ejpam-314	322	18	and	and	CCONJ
ejpam-314	322	19	exponential	exponential	ADJ
ejpam-314	322	20	stability	stability	NOUN
ejpam-314	322	21	of	of	ADP
ejpam-314	322	22	almost	almost	ADV
ejpam-314	322	23	periodic	periodic	ADJ
ejpam-314	322	24	solutions	solution	NOUN
ejpam-314	322	25	for	for	ADP
ejpam-314	322	26	shunting	shunt	VERB
ejpam-314	322	27	inhibitory	inhibitory	ADJ
ejpam-314	322	28	cellular	cellular	ADJ
ejpam-314	322	29	neural	neural	ADJ
ejpam-314	322	30	networks	network	NOUN
ejpam-314	322	31	with	with	ADP
ejpam-314	322	32	continuously	continuously	ADV
ejpam-314	322	33	distributed	distribute	VERB
ejpam-314	322	34	delays	delay	NOUN
ejpam-314	322	35	,	,	PUNCT
ejpam-314	322	36	chaos	chaos	NOUN
ejpam-314	322	37	,	,	PUNCT
ejpam-314	322	38	solitons	soliton	NOUN
ejpam-314	322	39	and	and	CCONJ
ejpam-314	322	40	fractals	fractal	NOUN
ejpam-314	322	41	,	,	PUNCT
ejpam-314	322	42	34	34	NUM
ejpam-314	322	43	(	(	PUNCT
ejpam-314	322	44	2007	2007	NUM
ejpam-314	322	45	)	)	PUNCT
ejpam-314	322	46	,	,	PUNCT
ejpam-314	322	47	860	860	PROPN
ejpam-314	322	48	-	-	SYM
ejpam-314	322	49	866	866	NUM
ejpam-314	322	50	.	.	PUNCT
ejpam-314	323	1	[	[	X
ejpam-314	323	2	4	4	X
ejpam-314	323	3	]	]	PUNCT
ejpam-314	323	4	b.	b.	PROPN
ejpam-314	323	5	liu	liu	PROPN
ejpam-314	323	6	,	,	PUNCT
ejpam-314	323	7	almost	almost	ADV
ejpam-314	323	8	periodic	periodic	ADJ
ejpam-314	323	9	solutions	solution	NOUN
ejpam-314	323	10	for	for	ADP
ejpam-314	323	11	shunting	shunt	VERB
ejpam-314	323	12	inhibitory	inhibitory	ADJ
ejpam-314	323	13	cellular	cellular	ADJ
ejpam-314	323	14	neural	neural	ADJ
ejpam-314	323	15	networks	network	NOUN
ejpam-314	323	16	without	without	ADP
ejpam-314	323	17	global	global	ADJ
ejpam-314	323	18	lipschitz	lipschitz	NOUN
ejpam-314	323	19	activation	activation	NOUN
ejpam-314	323	20	functions	function	NOUN
ejpam-314	323	21	,	,	PUNCT
ejpam-314	323	22	journal	journal	NOUN
ejpam-314	323	23	of	of	ADP
ejpam-314	323	24	computational	computational	ADJ
ejpam-314	323	25	and	and	CCONJ
ejpam-314	323	26	applied	applied	ADJ
ejpam-314	323	27	mathematics	mathematic	NOUN
ejpam-314	323	28	,	,	PUNCT
ejpam-314	323	29	203	203	NUM
ejpam-314	323	30	(	(	PUNCT
ejpam-314	323	31	2007	2007	NUM
ejpam-314	323	32	)	)	PUNCT
ejpam-314	323	33	,	,	PUNCT
ejpam-314	323	34	159	159	NUM
ejpam-314	323	35	-	-	SYM
ejpam-314	323	36	168	168	NUM
ejpam-314	323	37	.	.	PUNCT
ejpam-314	324	1	[	[	X
ejpam-314	324	2	5	5	X
ejpam-314	324	3	]	]	PUNCT
ejpam-314	324	4	b.	b.	PROPN
ejpam-314	324	5	liu	liu	PROPN
ejpam-314	324	6	and	and	CCONJ
ejpam-314	324	7	l.	l.	PROPN
ejpam-314	324	8	huang	huang	PROPN
ejpam-314	324	9	,	,	PUNCT
ejpam-314	324	10	existence	existence	NOUN
ejpam-314	324	11	and	and	CCONJ
ejpam-314	324	12	stability	stability	NOUN
ejpam-314	324	13	of	of	ADP
ejpam-314	324	14	almost	almost	ADV
ejpam-314	324	15	periodic	periodic	ADJ
ejpam-314	324	16	solutions	solution	NOUN
ejpam-314	324	17	for	for	ADP
ejpam-314	324	18	shunting	shunt	VERB
ejpam-314	324	19	inhibitory	inhibitory	ADJ
ejpam-314	324	20	cellular	cellular	ADJ
ejpam-314	324	21	neural	neural	ADJ
ejpam-314	324	22	networks	network	NOUN
ejpam-314	324	23	with	with	ADP
ejpam-314	324	24	time	time	NOUN
ejpam-314	324	25	-	-	PUNCT
ejpam-314	324	26	varying	vary	VERB
ejpam-314	324	27	delays	delay	NOUN
ejpam-314	324	28	,	,	PUNCT
ejpam-314	324	29	chaos	chaos	NOUN
ejpam-314	324	30	,	,	PUNCT
ejpam-314	324	31	solitons	soliton	NOUN
ejpam-314	324	32	and	and	CCONJ
ejpam-314	324	33	fractals	fractal	NOUN
ejpam-314	324	34	,	,	PUNCT
ejpam-314	324	35	31	31	NUM
ejpam-314	324	36	(	(	PUNCT
ejpam-314	324	37	2007	2007	NUM
ejpam-314	324	38	)	)	PUNCT
ejpam-314	324	39	,	,	PUNCT
ejpam-314	324	40	211	211	NUM
ejpam-314	324	41	-	-	SYM
ejpam-314	324	42	217	217	NUM
ejpam-314	324	43	.	.	PUNCT
ejpam-314	325	1	[	[	X
ejpam-314	325	2	6	6	NUM
ejpam-314	325	3	]	]	X
ejpam-314	325	4	y.	y.	PROPN
ejpam-314	325	5	liu	liu	PROPN
ejpam-314	325	6	,	,	PUNCT
ejpam-314	325	7	z.	z.	PROPN
ejpam-314	325	8	you	you	PRON
ejpam-314	325	9	,	,	PUNCT
ejpam-314	325	10	and	and	CCONJ
ejpam-314	325	11	l.	l.	PROPN
ejpam-314	325	12	cao	cao	PROPN
ejpam-314	325	13	,	,	PUNCT
ejpam-314	325	14	almost	almost	ADV
ejpam-314	325	15	periodic	periodic	ADJ
ejpam-314	325	16	solution	solution	NOUN
ejpam-314	325	17	of	of	ADP
ejpam-314	325	18	shunting	shunt	VERB
ejpam-314	325	19	inhibitory	inhibitory	ADJ
ejpam-314	325	20	cellular	cellular	ADJ
ejpam-314	325	21	neural	neural	ADJ
ejpam-314	325	22	networks	network	NOUN
ejpam-314	325	23	with	with	ADP
ejpam-314	325	24	time	time	NOUN
ejpam-314	325	25	-	-	PUNCT
ejpam-314	325	26	varying	vary	VERB
ejpam-314	325	27	and	and	CCONJ
ejpam-314	325	28	continuously	continuously	ADV
ejpam-314	325	29	distributed	distribute	VERB
ejpam-314	325	30	delays	delay	NOUN
ejpam-314	325	31	,	,	PUNCT
ejpam-314	325	32	physics	physics	NOUN
ejpam-314	325	33	letters	letter	NOUN
ejpam-314	325	34	a	a	PRON
ejpam-314	325	35	,	,	PUNCT
ejpam-314	325	36	364	364	NUM
ejpam-314	325	37	(	(	PUNCT
ejpam-314	325	38	2007	2007	NUM
ejpam-314	325	39	)	)	PUNCT
ejpam-314	325	40	,	,	PUNCT
ejpam-314	325	41	17	17	NUM
ejpam-314	325	42	-	-	SYM
ejpam-314	325	43	28	28	NUM
ejpam-314	325	44	.	.	PUNCT
ejpam-314	326	1	[	[	X
ejpam-314	326	2	7	7	X
ejpam-314	326	3	]	]	X
ejpam-314	326	4	w.	w.	PROPN
ejpam-314	326	5	zhao	zhao	PROPN
ejpam-314	326	6	and	and	CCONJ
ejpam-314	326	7	h.	h.	PROPN
ejpam-314	326	8	zhang	zhang	PROPN
ejpam-314	326	9	,	,	PUNCT
ejpam-314	326	10	on	on	ADP
ejpam-314	326	11	almost	almost	ADV
ejpam-314	326	12	periodic	periodic	ADJ
ejpam-314	326	13	solution	solution	NOUN
ejpam-314	326	14	of	of	ADP
ejpam-314	326	15	shunting	shunt	VERB
ejpam-314	326	16	inhibitory	inhibitory	ADJ
ejpam-314	326	17	cellular	cellular	ADJ
ejpam-314	326	18	neural	neural	ADJ
ejpam-314	326	19	networks	network	NOUN
ejpam-314	326	20	with	with	ADP
ejpam-314	326	21	variable	variable	ADJ
ejpam-314	326	22	coefficients	coefficient	NOUN
ejpam-314	326	23	and	and	CCONJ
ejpam-314	326	24	time	time	NOUN
ejpam-314	326	25	-	-	PUNCT
ejpam-314	326	26	varying	vary	VERB
ejpam-314	326	27	delays	delay	NOUN
ejpam-314	326	28	,	,	PUNCT
ejpam-314	326	29	nonlinear	nonlinear	ADJ
ejpam-314	326	30	analysis	analysis	NOUN
ejpam-314	326	31	:	:	PUNCT
ejpam-314	326	32	real	real	ADJ
ejpam-314	326	33	world	world	NOUN
ejpam-314	326	34	applications	application	NOUN
ejpam-314	326	35	,	,	PUNCT
ejpam-314	326	36	9	9	NUM
ejpam-314	326	37	(	(	PUNCT
ejpam-314	326	38	2008	2008	NUM
ejpam-314	326	39	)	)	PUNCT
ejpam-314	326	40	,	,	PUNCT
ejpam-314	326	41	2326	2326	NUM
ejpam-314	326	42	-	-	SYM
ejpam-314	326	43	2336	2336	NUM
ejpam-314	326	44	.	.	PUNCT
ejpam-314	327	1	references	reference	NOUN
ejpam-314	327	2	461	461	NUM
ejpam-314	328	1	[	[	X
ejpam-314	328	2	8	8	NUM
ejpam-314	328	3	]	]	X
ejpam-314	328	4	h.	h.	PROPN
ejpam-314	328	5	ding	ding	PROPN
ejpam-314	328	6	,	,	PUNCT
ejpam-314	328	7	j.	j.	PROPN
ejpam-314	328	8	liang	liang	PROPN
ejpam-314	328	9	,	,	PUNCT
ejpam-314	328	10	and	and	CCONJ
ejpam-314	328	11	t.	t.	PROPN
ejpam-314	328	12	xiao	xiao	PROPN
ejpam-314	328	13	,	,	PUNCT
ejpam-314	328	14	existence	existence	NOUN
ejpam-314	328	15	of	of	ADP
ejpam-314	328	16	almost	almost	ADV
ejpam-314	328	17	periodic	periodic	ADJ
ejpam-314	328	18	solutions	solution	NOUN
ejpam-314	328	19	for	for	ADP
ejpam-314	328	20	sicnns	sicnn	NOUN
ejpam-314	328	21	with	with	ADP
ejpam-314	328	22	time	time	NOUN
ejpam-314	328	23	-	-	PUNCT
ejpam-314	328	24	varying	vary	VERB
ejpam-314	328	25	delays	delay	NOUN
ejpam-314	328	26	,	,	PUNCT
ejpam-314	328	27	physics	physics	NOUN
ejpam-314	328	28	letters	letter	NOUN
ejpam-314	328	29	a	a	PRON
ejpam-314	328	30	,	,	PUNCT
ejpam-314	328	31	372	372	NUM
ejpam-314	328	32	(	(	PUNCT
ejpam-314	328	33	2008	2008	NUM
ejpam-314	328	34	)	)	PUNCT
ejpam-314	328	35	,	,	PUNCT
ejpam-314	328	36	5411	5411	NUM
ejpam-314	328	37	-	-	SYM
ejpam-314	328	38	5416	5416	NUM
ejpam-314	329	1	.	.	PUNCT
ejpam-314	330	1	[	[	X
ejpam-314	330	2	9	9	NUM
ejpam-314	330	3	]	]	PUNCT
ejpam-314	330	4	m.	m.	NOUN
ejpam-314	330	5	cai	cai	PROPN
ejpam-314	330	6	,	,	PUNCT
ejpam-314	330	7	h.	h.	PROPN
ejpam-314	330	8	zhang	zhang	PROPN
ejpam-314	330	9	,	,	PUNCT
ejpam-314	330	10	and	and	CCONJ
ejpam-314	330	11	z.	z.	PROPN
ejpam-314	330	12	yuan	yuan	PROPN
ejpam-314	330	13	,	,	PUNCT
ejpam-314	330	14	positive	positive	ADJ
ejpam-314	330	15	almost	almost	ADV
ejpam-314	330	16	periodic	periodic	ADJ
ejpam-314	330	17	solutions	solution	NOUN
ejpam-314	330	18	for	for	ADP
ejpam-314	330	19	shunting	shunt	VERB
ejpam-314	330	20	inhibitory	inhibitory	ADJ
ejpam-314	330	21	cellular	cellular	ADJ
ejpam-314	330	22	neural	neural	ADJ
ejpam-314	330	23	networks	network	NOUN
ejpam-314	330	24	with	with	ADP
ejpam-314	330	25	time	time	NOUN
ejpam-314	330	26	-	-	PUNCT
ejpam-314	330	27	varying	vary	VERB
ejpam-314	330	28	delays	delay	NOUN
ejpam-314	330	29	,	,	PUNCT
ejpam-314	330	30	mathematics	mathematic	NOUN
ejpam-314	330	31	and	and	CCONJ
ejpam-314	330	32	computers	computer	NOUN
ejpam-314	330	33	in	in	ADP
ejpam-314	330	34	simulation	simulation	NOUN
ejpam-314	330	35	,	,	PUNCT
ejpam-314	330	36	78	78	NUM
ejpam-314	330	37	(	(	PUNCT
ejpam-314	330	38	2008	2008	NUM
ejpam-314	330	39	)	)	PUNCT
ejpam-314	330	40	,	,	PUNCT
ejpam-314	330	41	548	548	NUM
ejpam-314	330	42	-	-	SYM
ejpam-314	330	43	558	558	NUM
ejpam-314	330	44	.	.	PUNCT
ejpam-314	331	1	[	[	X
ejpam-314	331	2	10	10	NUM
ejpam-314	331	3	]	]	PUNCT
ejpam-314	331	4	l.	l.	PROPN
ejpam-314	331	5	chen	chen	PROPN
ejpam-314	331	6	and	and	CCONJ
ejpam-314	331	7	h.	h.	PROPN
ejpam-314	331	8	zhao	zhao	PROPN
ejpam-314	331	9	,	,	PUNCT
ejpam-314	331	10	global	global	ADJ
ejpam-314	331	11	stability	stability	NOUN
ejpam-314	331	12	of	of	ADP
ejpam-314	331	13	almost	almost	ADV
ejpam-314	331	14	periodic	periodic	ADJ
ejpam-314	331	15	solution	solution	NOUN
ejpam-314	331	16	of	of	ADP
ejpam-314	331	17	shunting	shunt	VERB
ejpam-314	331	18	inhibitory	inhibitory	ADJ
ejpam-314	331	19	cellular	cellular	ADJ
ejpam-314	331	20	neural	neural	ADJ
ejpam-314	331	21	networks	network	NOUN
ejpam-314	331	22	with	with	ADP
ejpam-314	331	23	variable	variable	ADJ
ejpam-314	331	24	coefficients	coefficient	NOUN
ejpam-314	331	25	,	,	PUNCT
ejpam-314	331	26	chaos	chaos	NOUN
ejpam-314	331	27	,	,	PUNCT
ejpam-314	331	28	solitons	soliton	NOUN
ejpam-314	331	29	and	and	CCONJ
ejpam-314	331	30	fractals	fractal	NOUN
ejpam-314	331	31	,	,	PUNCT
ejpam-314	331	32	35	35	NUM
ejpam-314	331	33	(	(	PUNCT
ejpam-314	331	34	2008	2008	NUM
ejpam-314	331	35	)	)	PUNCT
ejpam-314	331	36	,	,	PUNCT
ejpam-314	331	37	351	351	NUM
ejpam-314	331	38	-	-	SYM
ejpam-314	331	39	357	357	NUM
ejpam-314	331	40	.	.	PUNCT
ejpam-314	332	1	[	[	X
ejpam-314	332	2	11	11	NUM
ejpam-314	332	3	]	]	PUNCT
ejpam-314	332	4	j.	j.	PROPN
ejpam-314	332	5	shao	shao	PROPN
ejpam-314	332	6	,	,	PUNCT
ejpam-314	332	7	l.	l.	PROPN
ejpam-314	332	8	wang	wang	PROPN
ejpam-314	332	9	,	,	PUNCT
ejpam-314	332	10	and	and	CCONJ
ejpam-314	332	11	c.	c.	PROPN
ejpam-314	332	12	ou	ou	PROPN
ejpam-314	332	13	,	,	PUNCT
ejpam-314	332	14	almost	almost	ADV
ejpam-314	332	15	periodic	periodic	ADJ
ejpam-314	332	16	solutions	solution	NOUN
ejpam-314	332	17	for	for	ADP
ejpam-314	332	18	shunting	shunt	VERB
ejpam-314	332	19	inhibitory	inhibitory	ADJ
ejpam-314	332	20	cellular	cellular	ADJ
ejpam-314	332	21	neural	neural	ADJ
ejpam-314	332	22	networks	network	NOUN
ejpam-314	332	23	without	without	ADP
ejpam-314	332	24	global	global	ADJ
ejpam-314	332	25	lipschitz	lipschitz	PROPN
ejpam-314	332	26	activaty	activaty	NOUN
ejpam-314	332	27	functions	function	NOUN
ejpam-314	332	28	,	,	PUNCT
ejpam-314	332	29	applied	apply	VERB
ejpam-314	332	30	mathematical	mathematical	ADJ
ejpam-314	332	31	modelling	modelling	NOUN
ejpam-314	332	32	,	,	PUNCT
ejpam-314	332	33	33	33	NUM
ejpam-314	332	34	(	(	PUNCT
ejpam-314	332	35	2009	2009	NUM
ejpam-314	332	36	)	)	PUNCT
ejpam-314	332	37	,	,	PUNCT
ejpam-314	332	38	2575	2575	NUM
ejpam-314	332	39	-	-	SYM
ejpam-314	332	40	2581	2581	NUM
ejpam-314	332	41	.	.	PUNCT
ejpam-314	333	1	[	[	X
ejpam-314	333	2	12	12	NUM
ejpam-314	333	3	]	]	PUNCT
ejpam-314	333	4	a.	a.	NOUN
ejpam-314	333	5	fink	fink	PROPN
ejpam-314	333	6	,	,	PUNCT
ejpam-314	333	7	almost	almost	ADV
ejpam-314	333	8	periodic	periodic	ADJ
ejpam-314	333	9	differential	differential	ADJ
ejpam-314	333	10	equations	equation	NOUN
ejpam-314	333	11	,	,	PUNCT
ejpam-314	333	12	springer	springer	NOUN
ejpam-314	333	13	,	,	PUNCT
ejpam-314	333	14	berlin	berlin	PROPN
ejpam-314	333	15	(	(	PUNCT
ejpam-314	333	16	1974	1974	NUM
ejpam-314	333	17	)	)	PUNCT