id	sid	tid	token	lemma	pos
ejpam-3534	1	1	european	european	PROPN
ejpam-3534	1	2	journal	journal	PROPN
ejpam-3534	1	3	of	of	ADP
ejpam-3534	1	4	pure	pure	ADJ
ejpam-3534	1	5	and	and	CCONJ
ejpam-3534	1	6	applied	apply	VERB
ejpam-3534	1	7	mathematics	mathematic	NOUN
ejpam-3534	1	8	vol	vol	NOUN
ejpam-3534	1	9	.	.	PROPN
ejpam-3534	2	1	12	12	NUM
ejpam-3534	2	2	,	,	PUNCT
ejpam-3534	2	3	no	no	INTJ
ejpam-3534	2	4	.	.	NOUN
ejpam-3534	2	5	4	4	NUM
ejpam-3534	2	6	,	,	PUNCT
ejpam-3534	2	7	2019	2019	NUM
ejpam-3534	2	8	,	,	PUNCT
ejpam-3534	2	9	1350	1350	NUM
ejpam-3534	2	10	-	-	SYM
ejpam-3534	2	11	1359	1359	NUM
ejpam-3534	2	12	issn	issn	PROPN
ejpam-3534	2	13	1307	1307	NUM
ejpam-3534	2	14	-	-	SYM
ejpam-3534	2	15	5543	5543	NUM
ejpam-3534	2	16	–	–	PUNCT
ejpam-3534	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3534	2	18	published	publish	VERB
ejpam-3534	2	19	by	by	ADP
ejpam-3534	2	20	new	new	PROPN
ejpam-3534	2	21	york	york	PROPN
ejpam-3534	2	22	business	business	PROPN
ejpam-3534	2	23	global	global	ADJ
ejpam-3534	2	24	monotone	monotone	NOUN
ejpam-3534	2	25	flows	flow	NOUN
ejpam-3534	2	26	with	with	ADP
ejpam-3534	2	27	dense	dense	ADJ
ejpam-3534	2	28	periodic	periodic	ADJ
ejpam-3534	2	29	orbits	orbit	NOUN
ejpam-3534	2	30	morris	morris	PROPN
ejpam-3534	2	31	w.	w.	PROPN
ejpam-3534	2	32	hirsch	hirsch	PROPN
ejpam-3534	2	33	department	department	PROPN
ejpam-3534	2	34	of	of	ADP
ejpam-3534	2	35	mathematics	mathematics	PROPN
ejpam-3534	2	36	,	,	PUNCT
ejpam-3534	2	37	university	university	NOUN
ejpam-3534	2	38	of	of	ADP
ejpam-3534	2	39	wisconsin	wisconsin	PROPN
ejpam-3534	2	40	at	at	ADP
ejpam-3534	2	41	madison	madison	PROPN
ejpam-3534	2	42	,	,	PUNCT
ejpam-3534	2	43	wi	wi	PROPN
ejpam-3534	2	44	53706	53706	NUM
ejpam-3534	2	45	,	,	PUNCT
ejpam-3534	2	46	usa	usa	PROPN
ejpam-3534	2	47	abstract	abstract	PROPN
ejpam-3534	2	48	.	.	PUNCT
ejpam-3534	3	1	the	the	DET
ejpam-3534	3	2	main	main	ADJ
ejpam-3534	3	3	result	result	NOUN
ejpam-3534	3	4	is	be	AUX
ejpam-3534	3	5	theorem	theorem	VERB
ejpam-3534	3	6	1	1	NUM
ejpam-3534	3	7	:	:	PUNCT
ejpam-3534	3	8	a	a	DET
ejpam-3534	3	9	flow	flow	NOUN
ejpam-3534	3	10	on	on	ADP
ejpam-3534	3	11	a	a	DET
ejpam-3534	3	12	connected	connected	ADJ
ejpam-3534	3	13	open	open	ADJ
ejpam-3534	3	14	set	set	NOUN
ejpam-3534	3	15	x	x	VERB
ejpam-3534	3	16	⊂	⊂	PROPN
ejpam-3534	3	17	rd	rd	PROPN
ejpam-3534	3	18	is	be	AUX
ejpam-3534	3	19	globally	globally	ADV
ejpam-3534	3	20	periodic	periodic	ADJ
ejpam-3534	3	21	provided	provide	VERB
ejpam-3534	3	22	(	(	PUNCT
ejpam-3534	3	23	i	i	NOUN
ejpam-3534	3	24	)	)	PUNCT
ejpam-3534	3	25	periodic	periodic	ADJ
ejpam-3534	3	26	points	point	NOUN
ejpam-3534	3	27	are	be	AUX
ejpam-3534	3	28	dense	dense	ADJ
ejpam-3534	3	29	in	in	ADP
ejpam-3534	3	30	x	x	NOUN
ejpam-3534	3	31	,	,	PUNCT
ejpam-3534	3	32	and	and	CCONJ
ejpam-3534	3	33	(	(	PUNCT
ejpam-3534	3	34	ii	ii	NOUN
ejpam-3534	3	35	)	)	PUNCT
ejpam-3534	3	36	at	at	ADP
ejpam-3534	3	37	all	all	ADV
ejpam-3534	3	38	positive	positive	ADJ
ejpam-3534	3	39	times	time	NOUN
ejpam-3534	3	40	the	the	DET
ejpam-3534	3	41	flow	flow	NOUN
ejpam-3534	3	42	preserves	preserve	VERB
ejpam-3534	3	43	the	the	DET
ejpam-3534	3	44	partial	partial	ADJ
ejpam-3534	3	45	order	order	NOUN
ejpam-3534	3	46	defined	define	VERB
ejpam-3534	3	47	by	by	ADP
ejpam-3534	3	48	a	a	DET
ejpam-3534	3	49	closed	closed	ADJ
ejpam-3534	3	50	convex	convex	NOUN
ejpam-3534	3	51	cone	cone	NOUN
ejpam-3534	3	52	that	that	PRON
ejpam-3534	3	53	has	have	AUX
ejpam-3534	3	54	nonempty	nonempty	VERB
ejpam-3534	3	55	interior	interior	ADJ
ejpam-3534	3	56	and	and	CCONJ
ejpam-3534	3	57	contains	contain	VERB
ejpam-3534	3	58	no	no	DET
ejpam-3534	3	59	straight	straight	ADJ
ejpam-3534	3	60	line	line	NOUN
ejpam-3534	3	61	.	.	PUNCT
ejpam-3534	4	1	the	the	DET
ejpam-3534	4	2	proof	proof	NOUN
ejpam-3534	4	3	uses	use	VERB
ejpam-3534	4	4	the	the	DET
ejpam-3534	4	5	analog	analog	NOUN
ejpam-3534	4	6	for	for	ADP
ejpam-3534	4	7	homeomorphisms	homeomorphism	NOUN
ejpam-3534	4	8	due	due	ADP
ejpam-3534	4	9	to	to	ADP
ejpam-3534	4	10	b.	b.	PROPN
ejpam-3534	4	11	lemmens	lemmens	PROPN
ejpam-3534	4	12	et	et	PROPN
ejpam-3534	4	13	al	al	PROPN
ejpam-3534	4	14	.	.	PUNCT
ejpam-3534	5	1	[	[	X
ejpam-3534	5	2	27	27	NUM
ejpam-3534	5	3	]	]	X
ejpam-3534	5	4	,	,	PUNCT
ejpam-3534	5	5	a	a	DET
ejpam-3534	5	6	classical	classical	ADJ
ejpam-3534	5	7	theorem	theorem	NOUN
ejpam-3534	5	8	of	of	ADP
ejpam-3534	5	9	d.	d.	PROPN
ejpam-3534	5	10	montgomery	montgomery	PROPN
ejpam-3534	6	1	[	[	X
ejpam-3534	6	2	31	31	NUM
ejpam-3534	6	3	,	,	PUNCT
ejpam-3534	6	4	32	32	NUM
ejpam-3534	6	5	]	]	PUNCT
ejpam-3534	6	6	,	,	PUNCT
ejpam-3534	6	7	and	and	CCONJ
ejpam-3534	6	8	a	a	DET
ejpam-3534	6	9	sufficient	sufficient	ADJ
ejpam-3534	6	10	condition	condition	NOUN
ejpam-3534	6	11	for	for	ADP
ejpam-3534	6	12	the	the	DET
ejpam-3534	6	13	nonstationary	nonstationary	ADJ
ejpam-3534	6	14	periodic	periodic	ADJ
ejpam-3534	6	15	points	point	NOUN
ejpam-3534	6	16	in	in	ADP
ejpam-3534	6	17	a	a	DET
ejpam-3534	6	18	closed	closed	ADJ
ejpam-3534	6	19	order	order	NOUN
ejpam-3534	6	20	interval	interval	NOUN
ejpam-3534	6	21	to	to	PART
ejpam-3534	6	22	have	have	VERB
ejpam-3534	6	23	rationally	rationally	ADV
ejpam-3534	6	24	related	related	ADJ
ejpam-3534	6	25	periods	period	NOUN
ejpam-3534	6	26	(	(	PUNCT
ejpam-3534	6	27	theorem	theorem	NOUN
ejpam-3534	6	28	2	2	NUM
ejpam-3534	6	29	)	)	PUNCT
ejpam-3534	6	30	.	.	PUNCT
ejpam-3534	7	1	2010	2010	NUM
ejpam-3534	7	2	mathematics	mathematic	NOUN
ejpam-3534	7	3	subject	subject	NOUN
ejpam-3534	7	4	classifications	classification	NOUN
ejpam-3534	7	5	:	:	PUNCT
ejpam-3534	7	6	37c65	37c65	NUM
ejpam-3534	7	7	,	,	PUNCT
ejpam-3534	7	8	37c25	37c25	NUM
ejpam-3534	7	9	,	,	PUNCT
ejpam-3534	7	10	57sxx	57sxx	ADJ
ejpam-3534	7	11	key	key	ADJ
ejpam-3534	7	12	words	word	NOUN
ejpam-3534	7	13	and	and	CCONJ
ejpam-3534	7	14	phrases	phrase	NOUN
ejpam-3534	7	15	:	:	PUNCT
ejpam-3534	7	16	monotone	monotone	ADJ
ejpam-3534	7	17	dynamical	dynamical	ADJ
ejpam-3534	7	18	systems	system	NOUN
ejpam-3534	7	19	,	,	PUNCT
ejpam-3534	7	20	periodic	periodic	ADJ
ejpam-3534	7	21	points	point	NOUN
ejpam-3534	7	22	,	,	PUNCT
ejpam-3534	7	23	topological	topological	ADJ
ejpam-3534	7	24	transformation	transformation	NOUN
ejpam-3534	7	25	groups	group	NOUN
ejpam-3534	7	26	1	1	NUM
ejpam-3534	7	27	.	.	X
ejpam-3534	8	1	introduction	introduction	NOUN
ejpam-3534	8	2	many	many	ADJ
ejpam-3534	8	3	dynamical	dynamical	ADJ
ejpam-3534	8	4	systems	system	NOUN
ejpam-3534	8	5	(	(	PUNCT
ejpam-3534	8	6	ϕ	ϕ	NOUN
ejpam-3534	8	7	,	,	PUNCT
ejpam-3534	8	8	x	x	NOUN
ejpam-3534	8	9	)	)	PUNCT
ejpam-3534	8	10	,	,	PUNCT
ejpam-3534	8	11	especially	especially	ADV
ejpam-3534	8	12	those	those	PRON
ejpam-3534	8	13	used	use	VERB
ejpam-3534	8	14	as	as	ADP
ejpam-3534	8	15	models	model	NOUN
ejpam-3534	8	16	in	in	ADP
ejpam-3534	8	17	applied	apply	VERB
ejpam-3534	8	18	fields	field	NOUN
ejpam-3534	8	19	,	,	PUNCT
ejpam-3534	8	20	are	be	AUX
ejpam-3534	8	21	monotone	monotone	ADJ
ejpam-3534	8	22	:	:	PUNCT
ejpam-3534	8	23	the	the	DET
ejpam-3534	8	24	state	state	NOUN
ejpam-3534	8	25	space	space	NOUN
ejpam-3534	8	26	x	x	PUNCT
ejpam-3534	8	27	has	have	VERB
ejpam-3534	8	28	a	a	DET
ejpam-3534	8	29	nontrivial	nontrivial	ADJ
ejpam-3534	8	30	(	(	PUNCT
ejpam-3534	8	31	partial	partial	ADJ
ejpam-3534	8	32	)	)	PUNCT
ejpam-3534	8	33	order	order	NOUN
ejpam-3534	8	34	which	which	PRON
ejpam-3534	8	35	the	the	DET
ejpam-3534	8	36	dynamic	dynamic	ADJ
ejpam-3534	8	37	ϕ	ϕ	NOUN
ejpam-3534	8	38	:	:	PUNCT
ejpam-3534	8	39	=	=	SYM
ejpam-3534	8	40	{	{	PUNCT
ejpam-3534	8	41	ϕt}t∈r	ϕt}t∈r	NOUN
ejpam-3534	8	42	preserves	preserve	VERB
ejpam-3534	8	43	in	in	ADP
ejpam-3534	8	44	positive	positive	ADJ
ejpam-3534	8	45	time	time	NOUN
ejpam-3534	8	46	:	:	PUNCT
ejpam-3534	8	47	y	y	PROPN
ejpam-3534	8	48	�	�	PROPN
ejpam-3534	8	49	x	x	PUNCT
ejpam-3534	9	1	=	=	PRON
ejpam-3534	9	2	⇒	⇒	PROPN
ejpam-3534	9	3	ϕty	ϕty	PROPN
ejpam-3534	9	4	�	�	PROPN
ejpam-3534	9	5	ϕt	ϕt	PROPN
ejpam-3534	9	6	x	x	NOUN
ejpam-3534	9	7	,	,	PUNCT
ejpam-3534	9	8	(	(	PUNCT
ejpam-3534	9	9	t	t	NOUN
ejpam-3534	9	10	≥	≥	NOUN
ejpam-3534	9	11	0	0	NUM
ejpam-3534	9	12	)	)	PUNCT
ejpam-3534	9	13	.	.	PUNCT
ejpam-3534	10	1	the	the	DET
ejpam-3534	10	2	great	great	ADJ
ejpam-3534	10	3	virtue	virtue	NOUN
ejpam-3534	10	4	of	of	ADP
ejpam-3534	10	5	monotone	monotone	ADJ
ejpam-3534	10	6	systems	system	NOUN
ejpam-3534	10	7	is	be	AUX
ejpam-3534	10	8	that	that	SCONJ
ejpam-3534	10	9	long	long	ADJ
ejpam-3534	10	10	-	-	PUNCT
ejpam-3534	10	11	term	term	NOUN
ejpam-3534	10	12	behavior	behavior	NOUN
ejpam-3534	10	13	of	of	ADP
ejpam-3534	10	14	trajectories	trajectories	PROPN
ejpam-3534	10	15	tends	tend	VERB
ejpam-3534	10	16	to	to	PART
ejpam-3534	10	17	be	be	AUX
ejpam-3534	10	18	comparatively	comparatively	ADV
ejpam-3534	10	19	simple	simple	ADJ
ejpam-3534	10	20	.	.	PUNCT
ejpam-3534	11	1	while	while	SCONJ
ejpam-3534	11	2	there	there	PRON
ejpam-3534	11	3	can	can	AUX
ejpam-3534	11	4	be	be	AUX
ejpam-3534	11	5	exotic	exotic	ADJ
ejpam-3534	11	6	invariant	invariant	ADJ
ejpam-3534	11	7	sets	set	NOUN
ejpam-3534	11	8	,	,	PUNCT
ejpam-3534	11	9	it	it	PRON
ejpam-3534	11	10	is	be	AUX
ejpam-3534	11	11	commonly	commonly	ADV
ejpam-3534	11	12	the	the	DET
ejpam-3534	11	13	case	case	NOUN
ejpam-3534	11	14	that	that	SCONJ
ejpam-3534	11	15	there	there	PRON
ejpam-3534	11	16	are	be	VERB
ejpam-3534	11	17	large	large	ADJ
ejpam-3534	11	18	sets	set	NOUN
ejpam-3534	11	19	of	of	ADP
ejpam-3534	11	20	initial	initial	ADJ
ejpam-3534	11	21	states	state	NOUN
ejpam-3534	11	22	x(0	x(0	PROPN
ejpam-3534	11	23	)	)	PUNCT
ejpam-3534	11	24	for	for	ADP
ejpam-3534	11	25	which	which	PRON
ejpam-3534	11	26	x(t	x(t	PROPN
ejpam-3534	11	27	)	)	PUNCT
ejpam-3534	11	28	approaches	approach	VERB
ejpam-3534	11	29	the	the	DET
ejpam-3534	11	30	fixed	fix	VERB
ejpam-3534	11	31	point	point	NOUN
ejpam-3534	11	32	set	set	VERB
ejpam-3534	11	33	as	as	SCONJ
ejpam-3534	11	34	t	t	PROPN
ejpam-3534	11	35	becomes	become	VERB
ejpam-3534	11	36	infinite	infinite	ADJ
ejpam-3534	11	37	.	.	PUNCT
ejpam-3534	12	1	this	this	PRON
ejpam-3534	12	2	holds	hold	VERB
ejpam-3534	12	3	for	for	ADP
ejpam-3534	12	4	cooperative	cooperative	ADJ
ejpam-3534	12	5	systems	system	NOUN
ejpam-3534	12	6	(	(	PUNCT
ejpam-3534	12	7	1	1	X
ejpam-3534	12	8	)	)	PUNCT
ejpam-3534	12	9	when	when	SCONJ
ejpam-3534	12	10	the	the	DET
ejpam-3534	12	11	inequalities	inequality	NOUN
ejpam-3534	12	12	(	(	PUNCT
ejpam-3534	12	13	2	2	X
ejpam-3534	12	14	)	)	PUNCT
ejpam-3534	12	15	are	be	AUX
ejpam-3534	12	16	strict	strict	ADJ
ejpam-3534	12	17	(	(	PUNCT
ejpam-3534	12	18	hirsch	hirsch	PROPN
ejpam-3534	13	1	[	[	X
ejpam-3534	13	2	16	16	NUM
ejpam-3534	13	3	]	]	PUNCT
ejpam-3534	13	4	)	)	PUNCT
ejpam-3534	13	5	.	.	PUNCT
ejpam-3534	14	1	example	example	NOUN
ejpam-3534	14	2	.	.	PUNCT
ejpam-3534	15	1	consider	consider	VERB
ejpam-3534	15	2	a	a	DET
ejpam-3534	15	3	population	population	NOUN
ejpam-3534	15	4	divided	divide	VERB
ejpam-3534	15	5	into	into	ADP
ejpam-3534	15	6	n	n	PRON
ejpam-3534	15	7	groups	group	NOUN
ejpam-3534	15	8	labeled	label	VERB
ejpam-3534	15	9	i	i	PRON
ejpam-3534	15	10	=	=	NOUN
ejpam-3534	15	11	1	1	NUM
ejpam-3534	15	12	,	,	PUNCT
ejpam-3534	15	13	.	.	PUNCT
ejpam-3534	15	14	.	.	PUNCT
ejpam-3534	16	1	.	.	PUNCT
ejpam-3534	17	1	,	,	PUNCT
ejpam-3534	17	2	n.	n.	NOUN
ejpam-3534	17	3	at	at	ADP
ejpam-3534	17	4	time	time	NOUN
ejpam-3534	17	5	t	t	PROPN
ejpam-3534	17	6	the	the	DET
ejpam-3534	17	7	state	state	NOUN
ejpam-3534	17	8	of	of	ADP
ejpam-3534	17	9	the	the	DET
ejpam-3534	17	10	system	system	NOUN
ejpam-3534	17	11	is	be	AUX
ejpam-3534	17	12	characterized	characterize	VERB
ejpam-3534	17	13	by	by	ADP
ejpam-3534	17	14	a	a	DET
ejpam-3534	17	15	vector	vector	NOUN
ejpam-3534	17	16	x(t	x(t	PROPN
ejpam-3534	17	17	)	)	PUNCT
ejpam-3534	17	18	∈	∈	PROPN
ejpam-3534	17	19	rn	rn	PROPN
ejpam-3534	17	20	whose	whose	DET
ejpam-3534	17	21	i’th	i’th	PROPN
ejpam-3534	17	22	component	component	NOUN
ejpam-3534	17	23	xi(t	xi(t	PUNCT
ejpam-3534	17	24	)	)	PUNCT
ejpam-3534	17	25	is	be	AUX
ejpam-3534	17	26	the	the	DET
ejpam-3534	17	27	size	size	NOUN
ejpam-3534	17	28	(	(	PUNCT
ejpam-3534	17	29	or	or	CCONJ
ejpam-3534	17	30	density	density	NOUN
ejpam-3534	17	31	,	,	PUNCT
ejpam-3534	17	32	concentration	concentration	NOUN
ejpam-3534	17	33	,	,	PUNCT
ejpam-3534	17	34	probability	probability	NOUN
ejpam-3534	17	35	,	,	PUNCT
ejpam-3534	17	36	etc	etc	X
ejpam-3534	17	37	.	.	X
ejpam-3534	17	38	)	)	PUNCT
ejpam-3534	17	39	of	of	ADP
ejpam-3534	17	40	group	group	NOUN
ejpam-3534	17	41	i.	i.	PROPN
ejpam-3534	17	42	the	the	DET
ejpam-3534	17	43	growth	growth	NOUN
ejpam-3534	17	44	rate	rate	NOUN
ejpam-3534	17	45	of	of	ADP
ejpam-3534	17	46	the	the	DET
ejpam-3534	17	47	groups	group	NOUN
ejpam-3534	17	48	is	be	AUX
ejpam-3534	17	49	governed	govern	VERB
ejpam-3534	17	50	by	by	ADP
ejpam-3534	17	51	a	a	DET
ejpam-3534	17	52	system	system	NOUN
ejpam-3534	17	53	of	of	ADP
ejpam-3534	17	54	differential	differential	ADJ
ejpam-3534	17	55	equations	equation	NOUN
ejpam-3534	17	56	in	in	ADP
ejpam-3534	17	57	the	the	DET
ejpam-3534	17	58	positive	positive	ADJ
ejpam-3534	17	59	orthant	orthant	NOUN
ejpam-3534	17	60	rn	rn	PROPN
ejpam-3534	18	1	+	+	NOUN
ejpam-3534	18	2	=	=	PUNCT
ejpam-3534	19	1	[	[	X
ejpam-3534	19	2	0,∞)n	0,∞)n	X
ejpam-3534	19	3	,	,	PUNCT
ejpam-3534	19	4	having	have	VERB
ejpam-3534	19	5	kolmogorov	kolmogorov	ADJ
ejpam-3534	19	6	form	form	NOUN
ejpam-3534	19	7	(	(	PUNCT
ejpam-3534	19	8	[	[	X
ejpam-3534	19	9	23	23	NUM
ejpam-3534	19	10	,	,	PUNCT
ejpam-3534	19	11	39	39	NUM
ejpam-3534	19	12	]	]	PUNCT
ejpam-3534	19	13	):	):	PUNCT
ejpam-3534	19	14	dxi	dxi	NOUN
ejpam-3534	19	15	dt	dt	NOUN
ejpam-3534	20	1	=	=	PUNCT
ejpam-3534	20	2	xi	xi	PROPN
ejpam-3534	20	3	n∑	n∑	PROPN
ejpam-3534	20	4	j=1	j=1	PROPN
ejpam-3534	20	5	gi	gi	NUM
ejpam-3534	20	6	j(x1	j(x1	PROPN
ejpam-3534	20	7	,	,	PUNCT
ejpam-3534	20	8	.	.	PUNCT
ejpam-3534	20	9	.	.	PUNCT
ejpam-3534	21	1	.	.	PUNCT
ejpam-3534	22	1	,	,	PUNCT
ejpam-3534	22	2	xn	xn	PROPN
ejpam-3534	22	3	)	)	PUNCT
ejpam-3534	22	4	,	,	PUNCT
ejpam-3534	22	5	xi	xi	X
ejpam-3534	22	6	≥	≥	PROPN
ejpam-3534	22	7	0	0	NUM
ejpam-3534	23	1	(	(	PUNCT
ejpam-3534	23	2	i	i	NOUN
ejpam-3534	23	3	=	=	NOUN
ejpam-3534	23	4	1	1	NUM
ejpam-3534	23	5	,	,	PUNCT
ejpam-3534	23	6	.	.	PUNCT
ejpam-3534	23	7	.	.	PUNCT
ejpam-3534	24	1	.	.	PUNCT
ejpam-3534	24	2	,	,	PUNCT
ejpam-3534	24	3	n	n	CCONJ
ejpam-3534	24	4	)	)	PUNCT
ejpam-3534	24	5	.	.	PUNCT
ejpam-3534	25	1	(	(	PUNCT
ejpam-3534	25	2	1	1	X
ejpam-3534	25	3	)	)	PUNCT
ejpam-3534	25	4	doi	doi	NOUN
ejpam-3534	25	5	:	:	PUNCT
ejpam-3534	25	6	https://doi.org/10.29020/nybg.ejpam.v12i4.3534	https://doi.org/10.29020/nybg.ejpam.v12i4.3534	ADP
ejpam-3534	25	7	email	email	NOUN
ejpam-3534	25	8	address	address	NOUN
ejpam-3534	25	9	:	:	PUNCT
ejpam-3534	26	1	mwhirsch@chorus.net	mwhirsch@chorus.net	NOUN
ejpam-3534	26	2	(	(	PUNCT
ejpam-3534	26	3	m.	m.	PROPN
ejpam-3534	26	4	w.	w.	PROPN
ejpam-3534	26	5	hirsch	hirsch	PROPN
ejpam-3534	26	6	)	)	PUNCT
ejpam-3534	26	7	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3534	26	8	1350	1350	NUM
ejpam-3534	27	1	c	c	X
ejpam-3534	27	2	©	©	PROPN
ejpam-3534	27	3	2019	2019	NUM
ejpam-3534	27	4	ejpam	ejpam	NOUN
ejpam-3534	27	5	all	all	DET
ejpam-3534	27	6	rights	right	NOUN
ejpam-3534	27	7	reserved	reserve	VERB
ejpam-3534	27	8	.	.	PUNCT
ejpam-3534	28	1	m.	m.	PROPN
ejpam-3534	28	2	w.	w.	PROPN
ejpam-3534	28	3	hirsch	hirsch	PROPN
ejpam-3534	28	4	/	/	SYM
ejpam-3534	28	5	eur	eur	PROPN
ejpam-3534	28	6	.	.	PUNCT
ejpam-3534	29	1	j.	j.	PROPN
ejpam-3534	29	2	pure	pure	PROPN
ejpam-3534	29	3	appl	appl	PROPN
ejpam-3534	29	4	.	.	PROPN
ejpam-3534	29	5	math	math	PROPN
ejpam-3534	29	6	,	,	PUNCT
ejpam-3534	29	7	12	12	NUM
ejpam-3534	29	8	(	(	PUNCT
ejpam-3534	29	9	4	4	NUM
ejpam-3534	29	10	)	)	PUNCT
ejpam-3534	29	11	(	(	PUNCT
ejpam-3534	29	12	2019	2019	NUM
ejpam-3534	29	13	)	)	PUNCT
ejpam-3534	29	14	,	,	PUNCT
ejpam-3534	29	15	1350	1350	NUM
ejpam-3534	29	16	-	-	SYM
ejpam-3534	29	17	1359	1359	NUM
ejpam-3534	29	18	1351	1351	NUM
ejpam-3534	29	19	the	the	DET
ejpam-3534	29	20	system	system	NOUN
ejpam-3534	29	21	is	be	AUX
ejpam-3534	29	22	cooperative	cooperative	ADJ
ejpam-3534	29	23	(	(	PUNCT
ejpam-3534	29	24	or	or	CCONJ
ejpam-3534	29	25	“	"	PUNCT
ejpam-3534	29	26	mutualist	mutualist	ADJ
ejpam-3534	29	27	”	"	PUNCT
ejpam-3534	29	28	)	)	PUNCT
ejpam-3534	29	29	if	if	SCONJ
ejpam-3534	29	30	the	the	DET
ejpam-3534	29	31	growth	growth	NOUN
ejpam-3534	29	32	rate	rate	NOUN
ejpam-3534	29	33	of	of	ADP
ejpam-3534	29	34	population	population	NOUN
ejpam-3534	29	35	i	i	PRON
ejpam-3534	29	36	tends	tend	VERB
ejpam-3534	29	37	to	to	PART
ejpam-3534	29	38	increase	increase	VERB
ejpam-3534	29	39	with	with	ADP
ejpam-3534	29	40	the	the	DET
ejpam-3534	29	41	size	size	NOUN
ejpam-3534	29	42	of	of	ADP
ejpam-3534	29	43	each	each	DET
ejpam-3534	29	44	population	population	NOUN
ejpam-3534	30	1	j	j	PROPN
ejpam-3534	30	2	,	,	PUNCT
ejpam-3534	30	3	i	i	PRON
ejpam-3534	30	4	,	,	PUNCT
ejpam-3534	30	5	modeled	model	VERB
ejpam-3534	30	6	by	by	ADP
ejpam-3534	30	7	∂gi	∂gi	PROPN
ejpam-3534	30	8	j	j	PROPN
ejpam-3534	30	9	∂x	∂x	PROPN
ejpam-3534	30	10	j	j	PROPN
ejpam-3534	30	11	≥	≥	NUM
ejpam-3534	30	12	0	0	NUM
ejpam-3534	30	13	,	,	PUNCT
ejpam-3534	30	14	i	i	PRON
ejpam-3534	30	15	,	,	PUNCT
ejpam-3534	30	16	j.	j.	PROPN
ejpam-3534	30	17	(	(	PUNCT
ejpam-3534	30	18	2	2	NUM
ejpam-3534	30	19	)	)	PUNCT
ejpam-3534	30	20	when	when	SCONJ
ejpam-3534	30	21	the	the	DET
ejpam-3534	30	22	functions	function	NOUN
ejpam-3534	30	23	gi	gi	ADP
ejpam-3534	30	24	j	j	PROPN
ejpam-3534	30	25	are	be	AUX
ejpam-3534	30	26	continuously	continuously	ADV
ejpam-3534	30	27	differentiable	differentiable	ADJ
ejpam-3534	30	28	,	,	PUNCT
ejpam-3534	30	29	this	this	DET
ejpam-3534	30	30	assumption	assumption	NOUN
ejpam-3534	30	31	makes	make	VERB
ejpam-3534	30	32	the	the	DET
ejpam-3534	30	33	positive	positive	ADJ
ejpam-3534	30	34	-	-	PUNCT
ejpam-3534	30	35	time	time	NOUN
ejpam-3534	30	36	solution	solution	NOUN
ejpam-3534	30	37	process	process	NOUN
ejpam-3534	30	38	preserve	preserve	VERB
ejpam-3534	30	39	the	the	DET
ejpam-3534	30	40	vector	vector	NOUN
ejpam-3534	30	41	order	order	NOUN
ejpam-3534	30	42	on	on	ADP
ejpam-3534	30	43	rn	rn	PROPN
ejpam-3534	30	44	determined	determine	VERB
ejpam-3534	30	45	by	by	ADP
ejpam-3534	30	46	the	the	DET
ejpam-3534	30	47	cone	cone	PROPN
ejpam-3534	30	48	rn	rn	PROPN
ejpam-3534	31	1	+	+	CCONJ
ejpam-3534	31	2	:	:	PUNCT
ejpam-3534	31	3	=	=	X
ejpam-3534	32	1	[	[	X
ejpam-3534	32	2	0,∞)n	0,∞)n	X
ejpam-3534	32	3	:	:	PUNCT
ejpam-3534	32	4	s	s	VERB
ejpam-3534	32	5	≤	≤	PROPN
ejpam-3534	32	6	t	t	NOUN
ejpam-3534	32	7	=	=	NOUN
ejpam-3534	32	8	⇒	⇒	NOUN
ejpam-3534	32	9	xi(s	xi(s	NUM
ejpam-3534	32	10	)	)	PUNCT
ejpam-3534	32	11	≤	≤	NOUN
ejpam-3534	32	12	xi(t	xi(t	PUNCT
ejpam-3534	32	13	)	)	PUNCT
ejpam-3534	32	14	,	,	PUNCT
ejpam-3534	32	15	(	(	PUNCT
ejpam-3534	32	16	i	i	NOUN
ejpam-3534	32	17	=	=	NOUN
ejpam-3534	32	18	1	1	NUM
ejpam-3534	32	19	,	,	PUNCT
ejpam-3534	32	20	.	.	PUNCT
ejpam-3534	32	21	.	.	PUNCT
ejpam-3534	33	1	.	.	PUNCT
ejpam-3534	33	2	,	,	PUNCT
ejpam-3534	33	3	n	n	CCONJ
ejpam-3534	33	4	)	)	PUNCT
ejpam-3534	33	5	.	.	PUNCT
ejpam-3534	34	1	if	if	SCONJ
ejpam-3534	34	2	the	the	DET
ejpam-3534	34	3	inequality	inequality	NOUN
ejpam-3534	34	4	on	on	ADP
ejpam-3534	34	5	partial	partial	ADJ
ejpam-3534	34	6	derivatives	derivative	NOUN
ejpam-3534	34	7	in	in	ADP
ejpam-3534	34	8	equation	equation	NOUN
ejpam-3534	34	9	(	(	PUNCT
ejpam-3534	34	10	2	2	X
ejpam-3534	34	11	)	)	PUNCT
ejpam-3534	34	12	is	be	AUX
ejpam-3534	34	13	reversed	reverse	VERB
ejpam-3534	34	14	,	,	PUNCT
ejpam-3534	34	15	the	the	DET
ejpam-3534	34	16	system	system	NOUN
ejpam-3534	34	17	is	be	AUX
ejpam-3534	34	18	called	call	VERB
ejpam-3534	34	19	competitive	competitive	ADJ
ejpam-3534	34	20	.	.	PUNCT
ejpam-3534	35	1	another	another	DET
ejpam-3534	35	2	common	common	ADJ
ejpam-3534	35	3	dynamical	dynamical	ADJ
ejpam-3534	35	4	property	property	NOUN
ejpam-3534	35	5	is	be	AUX
ejpam-3534	35	6	dense	dense	ADJ
ejpam-3534	35	7	periodicity	periodicity	NOUN
ejpam-3534	35	8	:	:	PUNCT
ejpam-3534	35	9	the	the	DET
ejpam-3534	35	10	set	set	NOUN
ejpam-3534	35	11	of	of	ADP
ejpam-3534	35	12	periodic	periodic	ADJ
ejpam-3534	35	13	points	point	NOUN
ejpam-3534	35	14	is	be	AUX
ejpam-3534	35	15	dense	dense	ADJ
ejpam-3534	35	16	.	.	PUNCT
ejpam-3534	36	1	often	often	ADV
ejpam-3534	36	2	considered	consider	VERB
ejpam-3534	36	3	typical	typical	ADJ
ejpam-3534	36	4	of	of	ADP
ejpam-3534	36	5	chaotic	chaotic	ADJ
ejpam-3534	36	6	dynamics	dynamic	NOUN
ejpam-3534	36	7	,	,	PUNCT
ejpam-3534	36	8	this	this	DET
ejpam-3534	36	9	condition	condition	NOUN
ejpam-3534	36	10	is	be	AUX
ejpam-3534	36	11	closely	closely	ADV
ejpam-3534	36	12	connected	connect	VERB
ejpam-3534	36	13	to	to	ADP
ejpam-3534	36	14	many	many	ADJ
ejpam-3534	36	15	other	other	ADJ
ejpam-3534	36	16	important	important	ADJ
ejpam-3534	36	17	dynamical	dynamical	ADJ
ejpam-3534	36	18	topics	topic	NOUN
ejpam-3534	36	19	:	:	PUNCT
ejpam-3534	36	20	structural	structural	ADJ
ejpam-3534	36	21	stability	stability	NOUN
ejpam-3534	36	22	,	,	PUNCT
ejpam-3534	36	23	ergodic	ergodic	ADJ
ejpam-3534	36	24	theory	theory	NOUN
ejpam-3534	36	25	,	,	PUNCT
ejpam-3534	36	26	hamiltonian	hamiltonian	ADJ
ejpam-3534	36	27	mechanics	mechanic	NOUN
ejpam-3534	36	28	,	,	PUNCT
ejpam-3534	36	29	smoothness	smoothness	ADJ
ejpam-3534	36	30	and	and	CCONJ
ejpam-3534	36	31	so	so	ADV
ejpam-3534	36	32	forth	forth	ADV
ejpam-3534	36	33	.	.	PUNCT
ejpam-3534	37	1	but	but	CCONJ
ejpam-3534	37	2	in	in	ADP
ejpam-3534	37	3	contrast	contrast	NOUN
ejpam-3534	37	4	to	to	ADP
ejpam-3534	37	5	monotonicity	monotonicity	NOUN
ejpam-3534	37	6	,	,	PUNCT
ejpam-3534	37	7	dense	dense	ADJ
ejpam-3534	37	8	periodicity	periodicity	NOUN
ejpam-3534	37	9	is	be	AUX
ejpam-3534	37	10	usually	usually	ADV
ejpam-3534	37	11	demonstrated	demonstrate	VERB
ejpam-3534	37	12	only	only	ADV
ejpam-3534	37	13	in	in	ADP
ejpam-3534	37	14	certain	certain	ADJ
ejpam-3534	37	15	compact	compact	ADJ
ejpam-3534	37	16	sets	set	NOUN
ejpam-3534	37	17	.	.	PUNCT
ejpam-3534	38	1	the	the	DET
ejpam-3534	38	2	goal	goal	NOUN
ejpam-3534	38	3	of	of	ADP
ejpam-3534	38	4	this	this	DET
ejpam-3534	38	5	article	article	NOUN
ejpam-3534	38	6	is	be	AUX
ejpam-3534	38	7	to	to	PART
ejpam-3534	38	8	show	show	VERB
ejpam-3534	38	9	that	that	SCONJ
ejpam-3534	38	10	flows	flow	NOUN
ejpam-3534	38	11	that	that	PRON
ejpam-3534	38	12	are	be	AUX
ejpam-3534	38	13	both	both	PRON
ejpam-3534	38	14	monotonic	monotonic	ADJ
ejpam-3534	38	15	and	and	CCONJ
ejpam-3534	38	16	densely	densely	ADV
ejpam-3534	38	17	periodic	periodic	ADJ
ejpam-3534	38	18	are	be	AUX
ejpam-3534	38	19	rare	rare	ADJ
ejpam-3534	38	20	,	,	PUNCT
ejpam-3534	38	21	because	because	SCONJ
ejpam-3534	38	22	they	they	PRON
ejpam-3534	38	23	are	be	AUX
ejpam-3534	38	24	globally	globally	ADV
ejpam-3534	38	25	periodic	periodic	ADJ
ejpam-3534	38	26	:	:	PUNCT
ejpam-3534	38	27	our	our	PRON
ejpam-3534	38	28	main	main	ADJ
ejpam-3534	38	29	result	result	NOUN
ejpam-3534	38	30	,	,	PUNCT
ejpam-3534	38	31	theorem	theorem	VERB
ejpam-3534	38	32	1	1	NUM
ejpam-3534	38	33	,	,	PUNCT
ejpam-3534	38	34	implies	imply	VERB
ejpam-3534	38	35	that	that	SCONJ
ejpam-3534	38	36	such	such	DET
ejpam-3534	38	37	a	a	DET
ejpam-3534	38	38	flow	flow	NOUN
ejpam-3534	38	39	factors	factor	NOUN
ejpam-3534	38	40	through	through	ADP
ejpam-3534	38	41	an	an	DET
ejpam-3534	38	42	action	action	NOUN
ejpam-3534	38	43	of	of	ADP
ejpam-3534	38	44	the	the	DET
ejpam-3534	38	45	circle	circle	NOUN
ejpam-3534	38	46	group	group	NOUN
ejpam-3534	38	47	.	.	PUNCT
ejpam-3534	39	1	for	for	ADP
ejpam-3534	39	2	a	a	DET
ejpam-3534	39	3	sampling	sampling	NOUN
ejpam-3534	39	4	of	of	ADP
ejpam-3534	39	5	the	the	DET
ejpam-3534	39	6	large	large	ADJ
ejpam-3534	39	7	literature	literature	NOUN
ejpam-3534	39	8	on	on	ADP
ejpam-3534	39	9	monotone	monotone	ADJ
ejpam-3534	39	10	dynamics	dynamic	NOUN
ejpam-3534	39	11	,	,	PUNCT
ejpam-3534	39	12	consult	consult	VERB
ejpam-3534	39	13	the	the	DET
ejpam-3534	39	14	following	follow	VERB
ejpam-3534	39	15	works	work	NOUN
ejpam-3534	39	16	and	and	CCONJ
ejpam-3534	39	17	references	reference	NOUN
ejpam-3534	39	18	therein	therein	ADV
ejpam-3534	39	19	:	:	PUNCT
ejpam-3534	40	1	[	[	X
ejpam-3534	40	2	1–4	1–4	NUM
ejpam-3534	40	3	,	,	PUNCT
ejpam-3534	40	4	6–9	6–9	PROPN
ejpam-3534	40	5	,	,	PUNCT
ejpam-3534	40	6	12	12	NUM
ejpam-3534	40	7	,	,	PUNCT
ejpam-3534	40	8	15	15	NUM
ejpam-3534	40	9	,	,	PUNCT
ejpam-3534	40	10	20	20	NUM
ejpam-3534	40	11	,	,	PUNCT
ejpam-3534	40	12	25	25	NUM
ejpam-3534	40	13	,	,	PUNCT
ejpam-3534	40	14	28–30	28–30	NUM
ejpam-3534	40	15	,	,	PUNCT
ejpam-3534	40	16	34	34	NUM
ejpam-3534	40	17	,	,	PUNCT
ejpam-3534	40	18	36	36	NUM
ejpam-3534	40	19	,	,	PUNCT
ejpam-3534	40	20	38	38	NUM
ejpam-3534	40	21	,	,	PUNCT
ejpam-3534	40	22	40	40	NUM
ejpam-3534	40	23	,	,	PUNCT
ejpam-3534	40	24	44–46	44–46	NUM
ejpam-3534	40	25	]	]	PUNCT
ejpam-3534	40	26	.	.	PUNCT
ejpam-3534	41	1	surveys	survey	NOUN
ejpam-3534	41	2	of	of	ADP
ejpam-3534	41	3	order	order	NOUN
ejpam-3534	41	4	-	-	PUNCT
ejpam-3534	41	5	preserving	preserve	VERB
ejpam-3534	41	6	dynamical	dynamical	ADJ
ejpam-3534	41	7	systems	system	NOUN
ejpam-3534	41	8	are	be	AUX
ejpam-3534	41	9	given	give	VERB
ejpam-3534	41	10	in	in	ADP
ejpam-3534	41	11	[	[	X
ejpam-3534	41	12	19	19	NUM
ejpam-3534	41	13	,	,	PUNCT
ejpam-3534	41	14	26	26	NUM
ejpam-3534	41	15	,	,	PUNCT
ejpam-3534	41	16	41	41	NUM
ejpam-3534	41	17	,	,	PUNCT
ejpam-3534	41	18	42	42	NUM
ejpam-3534	41	19	]	]	PUNCT
ejpam-3534	41	20	.	.	PUNCT
ejpam-3534	42	1	1.1	1.1	NUM
ejpam-3534	42	2	.	.	PUNCT
ejpam-3534	42	3	terminology	terminology	NOUN
ejpam-3534	42	4	let	let	VERB
ejpam-3534	42	5	z	z	PRON
ejpam-3534	42	6	denote	denote	VERB
ejpam-3534	42	7	the	the	DET
ejpam-3534	42	8	integers	integer	NOUN
ejpam-3534	42	9	,	,	PUNCT
ejpam-3534	42	10	n	n	CCONJ
ejpam-3534	42	11	the	the	DET
ejpam-3534	42	12	nonnegative	nonnegative	ADJ
ejpam-3534	42	13	integers	integer	NOUN
ejpam-3534	42	14	,	,	PUNCT
ejpam-3534	42	15	n+	n+	ADP
ejpam-3534	42	16	the	the	DET
ejpam-3534	42	17	positive	positive	ADJ
ejpam-3534	42	18	integers	integer	NOUN
ejpam-3534	42	19	,	,	PUNCT
ejpam-3534	42	20	r	r	VERB
ejpam-3534	42	21	the	the	DET
ejpam-3534	42	22	reals	real	NOUN
ejpam-3534	42	23	,	,	PUNCT
ejpam-3534	42	24	and	and	CCONJ
ejpam-3534	42	25	q+	q+	PUNCT
ejpam-3534	42	26	the	the	DET
ejpam-3534	42	27	positive	positive	ADJ
ejpam-3534	42	28	rationals	rational	NOUN
ejpam-3534	42	29	.	.	PUNCT
ejpam-3534	43	1	rd	rd	NOUN
ejpam-3534	43	2	is	be	AUX
ejpam-3534	43	3	d	d	ADJ
ejpam-3534	43	4	-	-	ADJ
ejpam-3534	43	5	dimensional	dimensional	ADJ
ejpam-3534	43	6	euclidean	euclidean	ADJ
ejpam-3534	43	7	space	space	NOUN
ejpam-3534	43	8	.	.	PUNCT
ejpam-3534	44	1	a	a	DET
ejpam-3534	44	2	subset	subset	NOUN
ejpam-3534	44	3	s	s	NOUN
ejpam-3534	44	4	of	of	ADP
ejpam-3534	44	5	a	a	DET
ejpam-3534	44	6	topological	topological	ADJ
ejpam-3534	44	7	space	space	NOUN
ejpam-3534	44	8	y	y	PROPN
ejpam-3534	44	9	is	be	AUX
ejpam-3534	44	10	given	give	VERB
ejpam-3534	44	11	the	the	DET
ejpam-3534	44	12	induced	induced	ADJ
ejpam-3534	44	13	topology	topology	NOUN
ejpam-3534	44	14	.	.	PUNCT
ejpam-3534	45	1	when	when	SCONJ
ejpam-3534	45	2	y	y	PROPN
ejpam-3534	45	3	has	have	AUX
ejpam-3534	45	4	been	be	AUX
ejpam-3534	45	5	specified	specify	VERB
ejpam-3534	45	6	,	,	PUNCT
ejpam-3534	45	7	the	the	DET
ejpam-3534	45	8	closure	closure	NOUN
ejpam-3534	45	9	of	of	ADP
ejpam-3534	45	10	s	s	PRON
ejpam-3534	45	11	is	be	AUX
ejpam-3534	45	12	denoted	denote	VERB
ejpam-3534	45	13	by	by	ADP
ejpam-3534	45	14	s	s	PROPN
ejpam-3534	45	15	.	.	PUNCT
ejpam-3534	46	1	maps	map	NOUN
ejpam-3534	46	2	between	between	ADP
ejpam-3534	46	3	topological	topological	ADJ
ejpam-3534	46	4	spaces	space	NOUN
ejpam-3534	46	5	are	be	AUX
ejpam-3534	46	6	always	always	ADV
ejpam-3534	46	7	assumed	assume	VERB
ejpam-3534	46	8	continuous	continuous	ADJ
ejpam-3534	46	9	.	.	PUNCT
ejpam-3534	47	1	let	let	VERB
ejpam-3534	47	2	x	x	PRON
ejpam-3534	47	3	be	be	AUX
ejpam-3534	47	4	an	an	DET
ejpam-3534	47	5	ordered	order	VERB
ejpam-3534	47	6	space	space	NOUN
ejpam-3534	47	7	:	:	PUNCT
ejpam-3534	47	8	a	a	DET
ejpam-3534	47	9	topological	topological	ADJ
ejpam-3534	47	10	space	space	NOUN
ejpam-3534	47	11	endowed	endow	VERB
ejpam-3534	47	12	with	with	ADP
ejpam-3534	47	13	a	a	DET
ejpam-3534	47	14	partial	partial	ADJ
ejpam-3534	47	15	order	order	NOUN
ejpam-3534	47	16	relation	relation	NOUN
ejpam-3534	47	17	generally	generally	ADV
ejpam-3534	47	18	symbolized	symbolize	VERB
ejpam-3534	47	19	by	by	ADP
ejpam-3534	47	20	�	�	PROPN
ejpam-3534	47	21	,	,	PUNCT
ejpam-3534	47	22	and	and	CCONJ
ejpam-3534	47	23	denoted	denote	VERB
ejpam-3534	47	24	formally	formally	ADV
ejpam-3534	47	25	as	as	ADP
ejpam-3534	47	26	(	(	PUNCT
ejpam-3534	47	27	x	x	NOUN
ejpam-3534	47	28	,	,	PUNCT
ejpam-3534	47	29	�	�	PROPN
ejpam-3534	47	30	)	)	PUNCT
ejpam-3534	47	31	.	.	PUNCT
ejpam-3534	48	1	if	if	SCONJ
ejpam-3534	48	2	(	(	PUNCT
ejpam-3534	48	3	x′,	x′,	PROPN
ejpam-3534	48	4	�	�	NOUN
ejpam-3534	48	5	′	′	NOUN
ejpam-3534	48	6	)	)	PUNCT
ejpam-3534	48	7	is	be	AUX
ejpam-3534	48	8	also	also	ADV
ejpam-3534	48	9	an	an	DET
ejpam-3534	48	10	ordered	order	VERB
ejpam-3534	48	11	space	space	NOUN
ejpam-3534	48	12	,	,	PUNCT
ejpam-3534	48	13	a	a	DET
ejpam-3534	48	14	map	map	NOUN
ejpam-3534	48	15	t	t	NOUN
ejpam-3534	48	16	:	:	PUNCT
ejpam-3534	48	17	x	x	X
ejpam-3534	48	18	→	→	SYM
ejpam-3534	48	19	x′	x′	PROPN
ejpam-3534	48	20	is	be	AUX
ejpam-3534	48	21	monotone	monotone	ADJ
ejpam-3534	48	22	provided	provide	VERB
ejpam-3534	48	23	x	x	PUNCT
ejpam-3534	48	24	�	�	PROPN
ejpam-3534	48	25	y	y	PROPN
ejpam-3534	48	26	=	=	PROPN
ejpam-3534	48	27	⇒	⇒	PROPN
ejpam-3534	48	28	t	t	PROPN
ejpam-3534	48	29	x	x	SYM
ejpam-3534	48	30	�	�	PROPN
ejpam-3534	48	31	′	′	NOUN
ejpam-3534	48	32	ty	ty	NUM
ejpam-3534	48	33	.	.	PUNCT
ejpam-3534	49	1	we	we	PRON
ejpam-3534	49	2	write	write	VERB
ejpam-3534	49	3	x	x	PUNCT
ejpam-3534	49	4	�	�	PROPN
ejpam-3534	49	5	y	y	PROPN
ejpam-3534	49	6	as	as	ADP
ejpam-3534	49	7	a	a	DET
ejpam-3534	49	8	synonym	synonym	NOUN
ejpam-3534	49	9	for	for	ADP
ejpam-3534	49	10	y	y	PROPN
ejpam-3534	49	11	�	�	PROPN
ejpam-3534	49	12	x.	x.	VERB
ejpam-3534	50	1	if	if	SCONJ
ejpam-3534	50	2	y	y	PROPN
ejpam-3534	50	3	�	�	PROPN
ejpam-3534	50	4	x	x	PUNCT
ejpam-3534	50	5	and	and	CCONJ
ejpam-3534	50	6	y	y	PROPN
ejpam-3534	50	7	,	,	PUNCT
ejpam-3534	50	8	x	x	X
ejpam-3534	50	9	,	,	PUNCT
ejpam-3534	50	10	we	we	PRON
ejpam-3534	50	11	write	write	VERB
ejpam-3534	50	12	y	y	PROPN
ejpam-3534	50	13	�	�	PROPN
ejpam-3534	50	14	x	x	PROPN
ejpam-3534	50	15	,	,	PUNCT
ejpam-3534	50	16	x	x	SYM
ejpam-3534	50	17	≺	≺	NOUN
ejpam-3534	50	18	y.	y.	NOUN
ejpam-3534	50	19	for	for	ADP
ejpam-3534	50	20	sets	set	NOUN
ejpam-3534	50	21	a	a	PRON
ejpam-3534	50	22	,	,	PUNCT
ejpam-3534	50	23	b	b	X
ejpam-3534	50	24	⊂	⊂	PROPN
ejpam-3534	50	25	x	x	PROPN
ejpam-3534	50	26	,	,	PUNCT
ejpam-3534	50	27	the	the	DET
ejpam-3534	50	28	notation	notation	NOUN
ejpam-3534	50	29	a	a	DET
ejpam-3534	50	30	�	�	PROPN
ejpam-3534	50	31	b	b	PROPN
ejpam-3534	50	32	means	mean	VERB
ejpam-3534	50	33	a	a	DET
ejpam-3534	50	34	�	�	PROPN
ejpam-3534	50	35	b	b	PROPN
ejpam-3534	50	36	for	for	ADP
ejpam-3534	50	37	all	all	DET
ejpam-3534	50	38	a	a	DET
ejpam-3534	50	39	∈	∈	PROPN
ejpam-3534	50	40	a	a	PRON
ejpam-3534	50	41	,	,	PUNCT
ejpam-3534	50	42	b	b	PROPN
ejpam-3534	50	43	∈	∈	PROPN
ejpam-3534	50	44	b	b	NOUN
ejpam-3534	50	45	;	;	PUNCT
ejpam-3534	50	46	and	and	CCONJ
ejpam-3534	50	47	similarly	similarly	ADV
ejpam-3534	50	48	for	for	ADP
ejpam-3534	50	49	�	�	PROPN
ejpam-3534	50	50	and	and	CCONJ
ejpam-3534	50	51	so	so	ADV
ejpam-3534	50	52	forth	forth	ADV
ejpam-3534	50	53	.	.	PUNCT
ejpam-3534	51	1	the	the	DET
ejpam-3534	51	2	partial	partial	ADJ
ejpam-3534	51	3	order	order	NOUN
ejpam-3534	51	4	is	be	AUX
ejpam-3534	51	5	always	always	ADV
ejpam-3534	51	6	assumed	assume	VERB
ejpam-3534	51	7	to	to	PART
ejpam-3534	51	8	be	be	AUX
ejpam-3534	51	9	closed	close	VERB
ejpam-3534	51	10	as	as	ADP
ejpam-3534	51	11	a	a	DET
ejpam-3534	51	12	binary	binary	ADJ
ejpam-3534	51	13	relation	relation	NOUN
ejpam-3534	51	14	:	:	PUNCT
ejpam-3534	51	15	the	the	DET
ejpam-3534	51	16	sets	set	NOUN
ejpam-3534	51	17	{	{	PUNCT
ejpam-3534	51	18	(	(	PUNCT
ejpam-3534	51	19	x	x	NOUN
ejpam-3534	51	20	,	,	PUNCT
ejpam-3534	51	21	y	y	NOUN
ejpam-3534	51	22	)	)	PUNCT
ejpam-3534	51	23	∈	∈	PROPN
ejpam-3534	51	24	x	x	X
ejpam-3534	51	25	×	×	NOUN
ejpam-3534	51	26	x	x	X
ejpam-3534	51	27	:	:	PUNCT
ejpam-3534	51	28	x	x	PUNCT
ejpam-3534	51	29	�	�	PROPN
ejpam-3534	51	30	y	y	PROPN
ejpam-3534	51	31	}	}	PUNCT
ejpam-3534	51	32	,	,	PUNCT
ejpam-3534	51	33	{	{	PUNCT
ejpam-3534	51	34	(	(	PUNCT
ejpam-3534	51	35	x	x	NOUN
ejpam-3534	51	36	,	,	PUNCT
ejpam-3534	51	37	y	y	NOUN
ejpam-3534	51	38	)	)	PUNCT
ejpam-3534	51	39	∈	∈	PROPN
ejpam-3534	51	40	x	x	X
ejpam-3534	51	41	×	×	NOUN
ejpam-3534	51	42	x	x	X
ejpam-3534	51	43	:	:	PUNCT
ejpam-3534	51	44	x	x	SYM
ejpam-3534	51	45	�	�	PROPN
ejpam-3534	51	46	y	y	PROPN
ejpam-3534	51	47	}	}	PUNCT
ejpam-3534	51	48	are	be	AUX
ejpam-3534	51	49	closed	close	VERB
ejpam-3534	51	50	in	in	ADP
ejpam-3534	51	51	x	x	SYM
ejpam-3534	51	52	×	×	NOUN
ejpam-3534	51	53	x.	x.	NOUN
ejpam-3534	51	54	consequently	consequently	ADV
ejpam-3534	51	55	:	:	PUNCT
ejpam-3534	51	56	•	•	NOUN
ejpam-3534	51	57	for	for	ADP
ejpam-3534	51	58	all	all	DET
ejpam-3534	51	59	p	p	NOUN
ejpam-3534	51	60	∈	∈	PROPN
ejpam-3534	51	61	x	x	PRON
ejpam-3534	51	62	,	,	PUNCT
ejpam-3534	51	63	the	the	DET
ejpam-3534	51	64	sets	set	NOUN
ejpam-3534	51	65	{	{	PUNCT
ejpam-3534	51	66	x	x	SYM
ejpam-3534	51	67	∈	∈	NOUN
ejpam-3534	51	68	x	x	X
ejpam-3534	51	69	:	:	PUNCT
ejpam-3534	51	70	x	x	PUNCT
ejpam-3534	51	71	�	�	PROPN
ejpam-3534	51	72	p	p	X
ejpam-3534	51	73	}	}	PUNCT
ejpam-3534	51	74	and	and	CCONJ
ejpam-3534	51	75	{	{	PUNCT
ejpam-3534	51	76	y	y	PROPN
ejpam-3534	51	77	∈	∈	PROPN
ejpam-3534	51	78	x	x	X
ejpam-3534	51	79	:	:	PUNCT
ejpam-3534	51	80	y	y	PROPN
ejpam-3534	51	81	�	�	PROPN
ejpam-3534	51	82	p	p	X
ejpam-3534	51	83	}	}	PUNCT
ejpam-3534	51	84	are	be	AUX
ejpam-3534	51	85	closed	close	VERB
ejpam-3534	51	86	in	in	ADP
ejpam-3534	51	87	x.	x.	NOUN
ejpam-3534	51	88	•	•	PROPN
ejpam-3534	51	89	if	if	SCONJ
ejpam-3534	51	90	limi	limi	NOUN
ejpam-3534	51	91	ai	ai	VERB
ejpam-3534	51	92	=	=	SYM
ejpam-3534	51	93	a	a	PROPN
ejpam-3534	51	94	,	,	PUNCT
ejpam-3534	51	95	limi	limi	ADJ
ejpam-3534	51	96	bi	bi	NOUN
ejpam-3534	51	97	=	=	PROPN
ejpam-3534	51	98	b	b	PROPN
ejpam-3534	51	99	,	,	PUNCT
ejpam-3534	51	100	and	and	CCONJ
ejpam-3534	51	101	ai	ai	VERB
ejpam-3534	51	102	�	�	PROPN
ejpam-3534	51	103	bi	bi	PROPN
ejpam-3534	51	104	,	,	PUNCT
ejpam-3534	51	105	then	then	ADV
ejpam-3534	51	106	a	a	DET
ejpam-3534	51	107	�	�	PROPN
ejpam-3534	51	108	b.	b.	PROPN
ejpam-3534	51	109	m.	m.	PROPN
ejpam-3534	51	110	w.	w.	PROPN
ejpam-3534	51	111	hirsch	hirsch	PROPN
ejpam-3534	51	112	/	/	SYM
ejpam-3534	51	113	eur	eur	PROPN
ejpam-3534	51	114	.	.	PUNCT
ejpam-3534	52	1	j.	j.	PROPN
ejpam-3534	52	2	pure	pure	PROPN
ejpam-3534	52	3	appl	appl	PROPN
ejpam-3534	52	4	.	.	PROPN
ejpam-3534	52	5	math	math	PROPN
ejpam-3534	52	6	,	,	PUNCT
ejpam-3534	52	7	12	12	NUM
ejpam-3534	52	8	(	(	PUNCT
ejpam-3534	52	9	4	4	NUM
ejpam-3534	52	10	)	)	PUNCT
ejpam-3534	52	11	(	(	PUNCT
ejpam-3534	52	12	2019	2019	NUM
ejpam-3534	52	13	)	)	PUNCT
ejpam-3534	52	14	,	,	PUNCT
ejpam-3534	52	15	1350	1350	NUM
ejpam-3534	52	16	-	-	SYM
ejpam-3534	52	17	1359	1359	NUM
ejpam-3534	52	18	1352	1352	NUM
ejpam-3534	52	19	the	the	DET
ejpam-3534	52	20	order	order	NOUN
ejpam-3534	52	21	interval	interval	NOUN
ejpam-3534	53	1	[	[	X
ejpam-3534	53	2	a	a	X
ejpam-3534	53	3	,	,	PUNCT
ejpam-3534	53	4	b	b	X
ejpam-3534	53	5	]	]	X
ejpam-3534	53	6	is	be	AUX
ejpam-3534	53	7	the	the	DET
ejpam-3534	53	8	closed	closed	ADJ
ejpam-3534	53	9	set	set	NOUN
ejpam-3534	53	10	{	{	PUNCT
ejpam-3534	53	11	x	x	SYM
ejpam-3534	53	12	∈	∈	PROPN
ejpam-3534	53	13	x	x	X
ejpam-3534	53	14	:	:	PUNCT
ejpam-3534	53	15	a	a	DET
ejpam-3534	53	16	�	�	PROPN
ejpam-3534	53	17	x	x	SYM
ejpam-3534	53	18	�	�	PROPN
ejpam-3534	53	19	b	b	PROPN
ejpam-3534	53	20	}	}	PUNCT
ejpam-3534	53	21	;	;	PUNCT
ejpam-3534	53	22	its	its	PRON
ejpam-3534	53	23	interior	interior	NOUN
ejpam-3534	53	24	is	be	AUX
ejpam-3534	53	25	the	the	DET
ejpam-3534	53	26	open	open	ADJ
ejpam-3534	53	27	order	order	NOUN
ejpam-3534	53	28	interval	interval	NOUN
ejpam-3534	54	1	[	[	X
ejpam-3534	54	2	[	[	X
ejpam-3534	54	3	a	a	X
ejpam-3534	54	4	,	,	PUNCT
ejpam-3534	54	5	b	b	NOUN
ejpam-3534	54	6	]	]	X
ejpam-3534	54	7	]	]	PUNCT
ejpam-3534	54	8	.	.	PUNCT
ejpam-3534	55	1	we	we	PRON
ejpam-3534	55	2	write	write	VERB
ejpam-3534	55	3	a	a	DET
ejpam-3534	55	4	�	�	PROPN
ejpam-3534	55	5	b	b	PROPN
ejpam-3534	55	6	to	to	PART
ejpam-3534	55	7	indicate	indicate	VERB
ejpam-3534	55	8	[	[	X
ejpam-3534	55	9	[	[	X
ejpam-3534	55	10	a	a	X
ejpam-3534	55	11	,	,	PUNCT
ejpam-3534	55	12	b	b	NOUN
ejpam-3534	55	13	]	]	X
ejpam-3534	55	14	]	]	X
ejpam-3534	55	15	,	,	PUNCT
ejpam-3534	55	16	∅.	∅.	AUX
ejpam-3534	55	17	let	let	VERB
ejpam-3534	55	18	f	f	PROPN
ejpam-3534	55	19	:	:	PUNCT
ejpam-3534	55	20	y	y	PROPN
ejpam-3534	55	21	→	→	SYM
ejpam-3534	55	22	z	z	X
ejpam-3534	55	23	be	be	AUX
ejpam-3534	55	24	a	a	DET
ejpam-3534	55	25	map	map	NOUN
ejpam-3534	55	26	.	.	PUNCT
ejpam-3534	56	1	for	for	ADP
ejpam-3534	56	2	k	k	PROPN
ejpam-3534	56	3	∈	∈	PROPN
ejpam-3534	56	4	n	n	CCONJ
ejpam-3534	56	5	,	,	PUNCT
ejpam-3534	56	6	the	the	DET
ejpam-3534	56	7	k’th	k’th	PROPN
ejpam-3534	56	8	iterate	iterate	NOUN
ejpam-3534	56	9	f	f	PROPN
ejpam-3534	56	10	k	k	NOUN
ejpam-3534	56	11	:	:	PUNCT
ejpam-3534	57	1	y→	y→	X
ejpam-3534	57	2	yk	yk	PROPN
ejpam-3534	57	3	is	be	AUX
ejpam-3534	57	4	the	the	DET
ejpam-3534	57	5	map	map	NOUN
ejpam-3534	57	6	defined	define	VERB
ejpam-3534	57	7	recursively	recursively	ADV
ejpam-3534	57	8	by	by	ADP
ejpam-3534	57	9	:	:	PUNCT
ejpam-3534	57	10	y0	y0	PROPN
ejpam-3534	57	11	=	=	SYM
ejpam-3534	57	12	y	y	PROPN
ejpam-3534	57	13	,	,	PUNCT
ejpam-3534	57	14	yk	yk	PROPN
ejpam-3534	57	15	=	=	SYM
ejpam-3534	57	16	f	f	PROPN
ejpam-3534	57	17	(	(	PUNCT
ejpam-3534	57	18	yk−1	yk−1	PROPN
ejpam-3534	57	19	)	)	PUNCT
ejpam-3534	57	20	if	if	SCONJ
ejpam-3534	57	21	yk−1	yk−1	PROPN
ejpam-3534	57	22	∈	∈	PROPN
ejpam-3534	57	23	y.	y.	NOUN
ejpam-3534	57	24	the	the	DET
ejpam-3534	57	25	fixed	fix	VERB
ejpam-3534	57	26	point	point	NOUN
ejpam-3534	57	27	set	set	NOUN
ejpam-3534	57	28	of	of	ADP
ejpam-3534	57	29	f	f	PROPN
ejpam-3534	57	30	is	be	AUX
ejpam-3534	57	31	f	f	PROPN
ejpam-3534	57	32	(	(	PUNCT
ejpam-3534	57	33	f	f	PROPN
ejpam-3534	57	34	)	)	PUNCT
ejpam-3534	57	35	:	:	PUNCT
ejpam-3534	57	36	=	=	SYM
ejpam-3534	57	37	{	{	PUNCT
ejpam-3534	57	38	x	x	X
ejpam-3534	57	39	:	:	PUNCT
ejpam-3534	57	40	f	f	X
ejpam-3534	57	41	(	(	PUNCT
ejpam-3534	57	42	x	x	X
ejpam-3534	57	43	)	)	PUNCT
ejpam-3534	57	44	=	=	SYM
ejpam-3534	58	1	x	x	X
ejpam-3534	58	2	}	}	PUNCT
ejpam-3534	58	3	and	and	CCONJ
ejpam-3534	58	4	the	the	DET
ejpam-3534	58	5	periodic	periodic	ADJ
ejpam-3534	58	6	set	set	NOUN
ejpam-3534	58	7	is	be	AUX
ejpam-3534	58	8	p	p	X
ejpam-3534	58	9	(	(	PUNCT
ejpam-3534	58	10	f	f	PROPN
ejpam-3534	58	11	)	)	PUNCT
ejpam-3534	58	12	:	:	PUNCT
ejpam-3534	59	1	=	=	SYM
ejpam-3534	59	2	⋃	⋃	X
ejpam-3534	59	3	k	k	X
ejpam-3534	59	4	f	f	X
ejpam-3534	59	5	(	(	PUNCT
ejpam-3534	59	6	f	f	PROPN
ejpam-3534	59	7	k	k	PROPN
ejpam-3534	59	8	)	)	PUNCT
ejpam-3534	59	9	.	.	PUNCT
ejpam-3534	60	1	a	a	DET
ejpam-3534	60	2	flow	flow	NOUN
ejpam-3534	60	3	on	on	ADP
ejpam-3534	60	4	x	x	X
ejpam-3534	60	5	is	be	AUX
ejpam-3534	60	6	an	an	DET
ejpam-3534	60	7	indexed	indexed	ADJ
ejpam-3534	60	8	family	family	NOUN
ejpam-3534	60	9	ψ	ψ	X
ejpam-3534	60	10	:	:	PUNCT
ejpam-3534	60	11	=	=	X
ejpam-3534	60	12	{	{	PUNCT
ejpam-3534	60	13	ψt	ψt	NOUN
ejpam-3534	60	14	}	}	PUNCT
ejpam-3534	60	15	t∈r	t∈r	NOUN
ejpam-3534	60	16	of	of	ADP
ejpam-3534	60	17	homeomorphisms	homeomorphisms	PROPN
ejpam-3534	60	18	ψt	ψt	VERB
ejpam-3534	60	19	:	:	PUNCT
ejpam-3534	60	20	x	x	PROPN
ejpam-3534	61	1	≈	≈	NOUN
ejpam-3534	61	2	x	x	PUNCT
ejpam-3534	61	3	such	such	ADJ
ejpam-3534	61	4	that	that	SCONJ
ejpam-3534	61	5	ψr	ψr	PART
ejpam-3534	61	6	◦	◦	VERB
ejpam-3534	61	7	ψs	ψs	ADJ
ejpam-3534	61	8	=	=	PUNCT
ejpam-3534	61	9	ψr+s	ψr+s	PROPN
ejpam-3534	61	10	,	,	PUNCT
ejpam-3534	61	11	(	(	PUNCT
ejpam-3534	61	12	r	r	NOUN
ejpam-3534	61	13	,	,	PUNCT
ejpam-3534	61	14	s	s	NOUN
ejpam-3534	61	15	∈	∈	PROPN
ejpam-3534	61	16	r	r	NOUN
ejpam-3534	61	17	)	)	PUNCT
ejpam-3534	61	18	,	,	PUNCT
ejpam-3534	61	19	(	(	PUNCT
ejpam-3534	61	20	3	3	X
ejpam-3534	61	21	)	)	PUNCT
ejpam-3534	61	22	and	and	CCONJ
ejpam-3534	61	23	the	the	DET
ejpam-3534	61	24	evaluation	evaluation	NOUN
ejpam-3534	61	25	map	map	NOUN
ejpam-3534	61	26	evψ	evψ	NOUN
ejpam-3534	61	27	:	:	PUNCT
ejpam-3534	61	28	r	r	NOUN
ejpam-3534	61	29	×	×	NOUN
ejpam-3534	61	30	x	x	INTJ
ejpam-3534	61	31	→	→	SYM
ejpam-3534	61	32	x	x	SYM
ejpam-3534	61	33	,	,	PUNCT
ejpam-3534	61	34	(	(	PUNCT
ejpam-3534	61	35	t	t	PROPN
ejpam-3534	61	36	,	,	PUNCT
ejpam-3534	61	37	x	x	NOUN
ejpam-3534	61	38	)	)	PUNCT
ejpam-3534	61	39	7→	7→	NUM
ejpam-3534	61	40	ψt	ψt	VERB
ejpam-3534	61	41	x	x	X
ejpam-3534	61	42	(	(	PUNCT
ejpam-3534	61	43	4	4	NUM
ejpam-3534	61	44	)	)	PUNCT
ejpam-3534	61	45	is	be	AUX
ejpam-3534	61	46	continuous	continuous	ADJ
ejpam-3534	61	47	.	.	PUNCT
ejpam-3534	62	1	when	when	SCONJ
ejpam-3534	62	2	x	x	PRON
ejpam-3534	62	3	is	be	AUX
ejpam-3534	62	4	ordered	order	VERB
ejpam-3534	62	5	,	,	PUNCT
ejpam-3534	62	6	ψ	ψ	X
ejpam-3534	62	7	is	be	AUX
ejpam-3534	62	8	monotone	monotone	ADJ
ejpam-3534	62	9	provided	provide	VERB
ejpam-3534	62	10	the	the	DET
ejpam-3534	62	11	maps	map	NOUN
ejpam-3534	62	12	ψt	ψt	VERB
ejpam-3534	62	13	,	,	PUNCT
ejpam-3534	62	14	t	t	PROPN
ejpam-3534	62	15	≥	≥	NUM
ejpam-3534	62	16	0	0	NUM
ejpam-3534	62	17	are	be	AUX
ejpam-3534	62	18	monotone	monotone	ADJ
ejpam-3534	62	19	.	.	PUNCT
ejpam-3534	63	1	example	example	NOUN
ejpam-3534	63	2	.	.	PUNCT
ejpam-3534	64	1	a	a	DET
ejpam-3534	64	2	flow	flow	NOUN
ejpam-3534	64	3	on	on	ADP
ejpam-3534	64	4	rn	rn	PROPN
ejpam-3534	64	5	defined	define	VERB
ejpam-3534	64	6	by	by	ADP
ejpam-3534	64	7	a	a	DET
ejpam-3534	64	8	cooperative	cooperative	ADJ
ejpam-3534	64	9	system	system	NOUN
ejpam-3534	64	10	of	of	ADP
ejpam-3534	64	11	differential	differential	ADJ
ejpam-3534	64	12	equations	equation	NOUN
ejpam-3534	64	13	(	(	PUNCT
ejpam-3534	64	14	1	1	NUM
ejpam-3534	64	15	)	)	PUNCT
ejpam-3534	64	16	,	,	PUNCT
ejpam-3534	64	17	(	(	PUNCT
ejpam-3534	64	18	2	2	X
ejpam-3534	64	19	)	)	PUNCT
ejpam-3534	64	20	is	be	AUX
ejpam-3534	64	21	monotone	monotone	ADJ
ejpam-3534	64	22	for	for	ADP
ejpam-3534	64	23	the	the	DET
ejpam-3534	64	24	vector	vector	NOUN
ejpam-3534	64	25	order	order	NOUN
ejpam-3534	64	26	x	x	PART
ejpam-3534	64	27	�	�	PROPN
ejpam-3534	64	28	y	y	PROPN
ejpam-3534	64	29	⇐	⇐	PROPN
ejpam-3534	64	30	⇒	⇒	PROPN
ejpam-3534	64	31	xi	xi	X
ejpam-3534	64	32	≥	≥	PROPN
ejpam-3534	64	33	yi	yi	PROPN
ejpam-3534	64	34	,	,	PUNCT
ejpam-3534	64	35	(	(	PUNCT
ejpam-3534	64	36	i	i	NOUN
ejpam-3534	64	37	=	=	NOUN
ejpam-3534	64	38	1	1	NUM
ejpam-3534	64	39	,	,	PUNCT
ejpam-3534	64	40	.	.	PUNCT
ejpam-3534	64	41	.	.	PUNCT
ejpam-3534	65	1	.	.	PUNCT
ejpam-3534	65	2	,	,	PUNCT
ejpam-3534	65	3	n	n	CCONJ
ejpam-3534	65	4	)	)	PUNCT
ejpam-3534	65	5	.	.	PUNCT
ejpam-3534	66	1	a	a	DET
ejpam-3534	66	2	set	set	NOUN
ejpam-3534	66	3	y	y	PROPN
ejpam-3534	66	4	⊂	⊂	PROPN
ejpam-3534	66	5	x	x	X
ejpam-3534	66	6	is	be	AUX
ejpam-3534	66	7	invariant	invariant	ADJ
ejpam-3534	66	8	under	under	ADP
ejpam-3534	66	9	ψ	ψ	NOUN
ejpam-3534	66	10	if	if	SCONJ
ejpam-3534	66	11	ψty	ψty	VERB
ejpam-3534	66	12	=	=	SYM
ejpam-3534	66	13	y	y	PROPN
ejpam-3534	66	14	for	for	ADP
ejpam-3534	66	15	all	all	DET
ejpam-3534	66	16	t	t	NOUN
ejpam-3534	66	17	∈	∈	NOUN
ejpam-3534	66	18	r	r	NOUN
ejpam-3534	66	19	,	,	PUNCT
ejpam-3534	66	20	and	and	CCONJ
ejpam-3534	66	21	ψ	ψ	X
ejpam-3534	66	22	∣∣∣y	∣∣∣y	NOUN
ejpam-3534	66	23	denotes	denote	VERB
ejpam-3534	66	24	the	the	DET
ejpam-3534	66	25	flow	flow	NOUN
ejpam-3534	66	26	in	in	ADP
ejpam-3534	66	27	y	y	PROPN
ejpam-3534	66	28	whose	whose	DET
ejpam-3534	66	29	evaluation	evaluation	NOUN
ejpam-3534	66	30	map	map	NOUN
ejpam-3534	66	31	(	(	PUNCT
ejpam-3534	66	32	4	4	NUM
ejpam-3534	66	33	)	)	PUNCT
ejpam-3534	66	34	is	be	AUX
ejpam-3534	66	35	evψ|y	evψ|y	ADJ
ejpam-3534	66	36	:	:	PUNCT
ejpam-3534	66	37	(	(	PUNCT
ejpam-3534	66	38	t	t	PROPN
ejpam-3534	66	39	,	,	PUNCT
ejpam-3534	66	40	y	y	PROPN
ejpam-3534	66	41	)	)	PUNCT
ejpam-3534	66	42	7→	7→	PROPN
ejpam-3534	66	43	ψty	ψty	ADP
ejpam-3534	66	44	,	,	PUNCT
ejpam-3534	66	45	(	(	PUNCT
ejpam-3534	66	46	t	t	PROPN
ejpam-3534	66	47	,	,	PUNCT
ejpam-3534	66	48	y	y	NOUN
ejpam-3534	66	49	)	)	PUNCT
ejpam-3534	66	50	∈	∈	PROPN
ejpam-3534	66	51	r	r	NOUN
ejpam-3534	66	52	×	×	NOUN
ejpam-3534	66	53	y.	y.	NOUN
ejpam-3534	66	54	the	the	DET
ejpam-3534	66	55	orbit	orbit	NOUN
ejpam-3534	66	56	of	of	ADP
ejpam-3534	66	57	x	x	PUNCT
ejpam-3534	66	58	is	be	AUX
ejpam-3534	66	59	o(x	o(x	PROPN
ejpam-3534	66	60	)	)	PUNCT
ejpam-3534	66	61	:	:	PUNCT
ejpam-3534	67	1	=	=	X
ejpam-3534	67	2	{	{	PUNCT
ejpam-3534	67	3	ψt	ψt	NOUN
ejpam-3534	67	4	x	x	X
ejpam-3534	67	5	:	:	PUNCT
ejpam-3534	67	6	t	t	PROPN
ejpam-3534	67	7	∈	∈	PROPN
ejpam-3534	67	8	r	r	NOUN
ejpam-3534	67	9	}	}	PUNCT
ejpam-3534	67	10	,	,	PUNCT
ejpam-3534	67	11	and	and	CCONJ
ejpam-3534	67	12	the	the	DET
ejpam-3534	67	13	orbit	orbit	NOUN
ejpam-3534	67	14	of	of	ADP
ejpam-3534	67	15	a	a	DET
ejpam-3534	67	16	set	set	NOUN
ejpam-3534	67	17	s	s	X
ejpam-3534	67	18	⊂	⊂	X
ejpam-3534	67	19	x	x	X
ejpam-3534	67	20	is	be	AUX
ejpam-3534	67	21	o(s	o(s	PROPN
ejpam-3534	67	22	)	)	PUNCT
ejpam-3534	67	23	:	:	PUNCT
ejpam-3534	68	1	=	=	SYM
ejpam-3534	68	2	⋃	⋃	PROPN
ejpam-3534	68	3	x∈s	x∈s	NOUN
ejpam-3534	68	4	o(x	o(x	PROPN
ejpam-3534	68	5	)	)	PUNCT
ejpam-3534	68	6	.	.	PUNCT
ejpam-3534	69	1	since	since	SCONJ
ejpam-3534	69	2	orbits	orbit	NOUN
ejpam-3534	69	3	are	be	AUX
ejpam-3534	69	4	invariant	invariant	ADJ
ejpam-3534	69	5	and	and	CCONJ
ejpam-3534	69	6	the	the	DET
ejpam-3534	69	7	flow	flow	NOUN
ejpam-3534	69	8	on	on	ADP
ejpam-3534	69	9	an	an	DET
ejpam-3534	69	10	orbit	orbit	NOUN
ejpam-3534	69	11	is	be	AUX
ejpam-3534	69	12	transitive	transitive	ADJ
ejpam-3534	69	13	,	,	PUNCT
ejpam-3534	69	14	distinct	distinct	ADJ
ejpam-3534	69	15	orbits	orbit	NOUN
ejpam-3534	69	16	are	be	AUX
ejpam-3534	69	17	disjoint	disjoint	ADJ
ejpam-3534	69	18	.	.	PUNCT
ejpam-3534	70	1	the	the	DET
ejpam-3534	70	2	periodic	periodic	ADJ
ejpam-3534	70	3	set	set	NOUN
ejpam-3534	70	4	of	of	ADP
ejpam-3534	70	5	ψ	ψ	NOUN
ejpam-3534	70	6	is	be	AUX
ejpam-3534	70	7	p	p	NOUN
ejpam-3534	70	8	=	=	PUNCT
ejpam-3534	70	9	p(ψ	p(ψ	NOUN
ejpam-3534	70	10	)	)	PUNCT
ejpam-3534	70	11	:	:	PUNCT
ejpam-3534	71	1	=	=	SYM
ejpam-3534	71	2	⋃	⋃	ADP
ejpam-3534	71	3	t>0	t>0	NOUN
ejpam-3534	71	4	p(ψt	p(ψt	NOUN
ejpam-3534	71	5	)	)	PUNCT
ejpam-3534	71	6	and	and	CCONJ
ejpam-3534	71	7	the	the	DET
ejpam-3534	71	8	equilibrium	equilibrium	NOUN
ejpam-3534	71	9	set	set	NOUN
ejpam-3534	71	10	is	be	AUX
ejpam-3534	71	11	e	e	NOUN
ejpam-3534	71	12	=	=	SYM
ejpam-3534	71	13	e(ψ	e(ψ	PROPN
ejpam-3534	71	14	)	)	PUNCT
ejpam-3534	71	15	:	:	PUNCT
ejpam-3534	71	16	=	=	SYM
ejpam-3534	71	17	⋂	⋂	PROPN
ejpam-3534	71	18	t∈r	t∈r	NOUN
ejpam-3534	71	19	f	f	PROPN
ejpam-3534	71	20	(	(	PUNCT
ejpam-3534	71	21	ψt	ψt	NOUN
ejpam-3534	71	22	)	)	PUNCT
ejpam-3534	71	23	.	.	PUNCT
ejpam-3534	72	1	if	if	SCONJ
ejpam-3534	72	2	p	p	PROPN
ejpam-3534	72	3	∈	∈	PROPN
ejpam-3534	72	4	p	p	NOUN
ejpam-3534	72	5	\	\	PROPN
ejpam-3534	72	6	e	e	NOUN
ejpam-3534	72	7	,	,	PUNCT
ejpam-3534	72	8	its	its	PRON
ejpam-3534	72	9	period	period	NOUN
ejpam-3534	72	10	is	be	AUX
ejpam-3534	72	11	per	per	ADP
ejpam-3534	72	12	(	(	PUNCT
ejpam-3534	72	13	p	p	NOUN
ejpam-3534	72	14	)	)	PUNCT
ejpam-3534	72	15	=	=	NOUN
ejpam-3534	72	16	per	per	X
ejpam-3534	72	17	(	(	PUNCT
ejpam-3534	72	18	p	p	X
ejpam-3534	72	19	,	,	PUNCT
ejpam-3534	72	20	ψ	ψ	NOUN
ejpam-3534	72	21	)	)	PUNCT
ejpam-3534	72	22	:	:	PUNCT
ejpam-3534	72	23	=	=	SYM
ejpam-3534	72	24	min	min	PROPN
ejpam-3534	72	25	{	{	PUNCT
ejpam-3534	72	26	t	t	X
ejpam-3534	72	27	>	>	X
ejpam-3534	72	28	0	0	NUM
ejpam-3534	72	29	:	:	PUNCT
ejpam-3534	72	30	ψt	ψt	VERB
ejpam-3534	72	31	p	p	NOUN
ejpam-3534	73	1	=	=	X
ejpam-3534	73	2	p	p	X
ejpam-3534	73	3	}	}	PUNCT
ejpam-3534	73	4	>	>	X
ejpam-3534	73	5	0	0	NUM
ejpam-3534	73	6	,	,	PUNCT
ejpam-3534	73	7	m.	m.	NOUN
ejpam-3534	73	8	w.	w.	PROPN
ejpam-3534	73	9	hirsch	hirsch	PROPN
ejpam-3534	73	10	/	/	SYM
ejpam-3534	73	11	eur	eur	PROPN
ejpam-3534	73	12	.	.	PUNCT
ejpam-3534	74	1	j.	j.	PROPN
ejpam-3534	74	2	pure	pure	PROPN
ejpam-3534	74	3	appl	appl	PROPN
ejpam-3534	74	4	.	.	PROPN
ejpam-3534	74	5	math	math	PROPN
ejpam-3534	74	6	,	,	PUNCT
ejpam-3534	74	7	12	12	NUM
ejpam-3534	74	8	(	(	PUNCT
ejpam-3534	74	9	4	4	NUM
ejpam-3534	74	10	)	)	PUNCT
ejpam-3534	74	11	(	(	PUNCT
ejpam-3534	74	12	2019	2019	NUM
ejpam-3534	74	13	)	)	PUNCT
ejpam-3534	74	14	,	,	PUNCT
ejpam-3534	74	15	1350	1350	NUM
ejpam-3534	74	16	-	-	SYM
ejpam-3534	74	17	1359	1359	NUM
ejpam-3534	74	18	1353	1353	NUM
ejpam-3534	74	19	and	and	CCONJ
ejpam-3534	74	20	o(p	o(p	NOUN
ejpam-3534	74	21	)	)	PUNCT
ejpam-3534	74	22	is	be	AUX
ejpam-3534	74	23	a	a	DET
ejpam-3534	74	24	cycle	cycle	NOUN
ejpam-3534	74	25	.	.	PUNCT
ejpam-3534	75	1	if	if	SCONJ
ejpam-3534	75	2	per(p	per(p	PROPN
ejpam-3534	75	3	)	)	PUNCT
ejpam-3534	75	4	=	=	SYM
ejpam-3534	75	5	r	r	NOUN
ejpam-3534	75	6	>	>	X
ejpam-3534	75	7	0	0	NUM
ejpam-3534	75	8	,	,	PUNCT
ejpam-3534	75	9	the	the	DET
ejpam-3534	75	10	flow	flow	NOUN
ejpam-3534	75	11	ψ	ψ	X
ejpam-3534	75	12	∣∣∣o(p	∣∣∣o(p	NOUN
ejpam-3534	75	13	)	)	PUNCT
ejpam-3534	75	14	is	be	AUX
ejpam-3534	75	15	topologically	topologically	ADV
ejpam-3534	75	16	conjugate	conjugate	ADJ
ejpam-3534	75	17	to	to	ADP
ejpam-3534	75	18	the	the	DET
ejpam-3534	75	19	flow	flow	NOUN
ejpam-3534	75	20	on	on	ADP
ejpam-3534	75	21	the	the	DET
ejpam-3534	75	22	topological	topological	ADJ
ejpam-3534	75	23	circle	circle	NOUN
ejpam-3534	75	24	r	r	NOUN
ejpam-3534	75	25	/	/	SYM
ejpam-3534	75	26	rz	rz	NOUN
ejpam-3534	75	27	covered	cover	VERB
ejpam-3534	75	28	by	by	ADP
ejpam-3534	75	29	the	the	DET
ejpam-3534	75	30	translational	translational	ADJ
ejpam-3534	75	31	flow	flow	NOUN
ejpam-3534	75	32	on	on	ADP
ejpam-3534	75	33	r.	r.	PROPN
ejpam-3534	75	34	since	since	SCONJ
ejpam-3534	75	35	the	the	DET
ejpam-3534	75	36	flows	flow	NOUN
ejpam-3534	75	37	on	on	ADP
ejpam-3534	75	38	cycles	cycle	NOUN
ejpam-3534	75	39	are	be	AUX
ejpam-3534	75	40	transitive	transitive	ADJ
ejpam-3534	75	41	,	,	PUNCT
ejpam-3534	75	42	every	every	DET
ejpam-3534	75	43	cycle	cycle	NOUN
ejpam-3534	75	44	is	be	AUX
ejpam-3534	75	45	unordered	unordered	ADJ
ejpam-3534	75	46	:	:	PUNCT
ejpam-3534	75	47	no	no	DET
ejpam-3534	75	48	two	two	NUM
ejpam-3534	75	49	points	point	NOUN
ejpam-3534	75	50	are	be	AUX
ejpam-3534	75	51	related	relate	VERB
ejpam-3534	75	52	by	by	ADP
ejpam-3534	75	53	�	�	PROPN
ejpam-3534	75	54	.	.	PUNCT
ejpam-3534	76	1	the	the	DET
ejpam-3534	76	2	flow	flow	NOUN
ejpam-3534	76	3	is	be	AUX
ejpam-3534	76	4	called	call	VERB
ejpam-3534	76	5	:	:	PUNCT
ejpam-3534	76	6	•	•	NUM
ejpam-3534	76	7	densely	densely	ADV
ejpam-3534	76	8	periodic	periodic	ADJ
ejpam-3534	76	9	if	if	SCONJ
ejpam-3534	76	10	p	p	NOUN
ejpam-3534	76	11	is	be	AUX
ejpam-3534	76	12	dense	dense	ADJ
ejpam-3534	76	13	in	in	ADP
ejpam-3534	76	14	x	x	X
ejpam-3534	76	15	,	,	PUNCT
ejpam-3534	76	16	•	•	NUM
ejpam-3534	76	17	pointwise	pointwise	VERB
ejpam-3534	76	18	periodic	periodic	NOUN
ejpam-3534	76	19	if	if	SCONJ
ejpam-3534	76	20	p	p	NOUN
ejpam-3534	76	21	=	=	SYM
ejpam-3534	76	22	x	x	NOUN
ejpam-3534	76	23	,	,	PUNCT
ejpam-3534	76	24	•	•	ADV
ejpam-3534	76	25	globally	globally	ADV
ejpam-3534	76	26	periodic	periodic	ADJ
ejpam-3534	76	27	if	if	SCONJ
ejpam-3534	76	28	ψt	ψt	VERB
ejpam-3534	76	29	is	be	AUX
ejpam-3534	76	30	the	the	DET
ejpam-3534	76	31	identity	identity	NOUN
ejpam-3534	76	32	map	map	NOUN
ejpam-3534	76	33	of	of	ADP
ejpam-3534	76	34	x	x	PUNCT
ejpam-3534	76	35	for	for	ADP
ejpam-3534	76	36	some	some	DET
ejpam-3534	76	37	t	t	PROPN
ejpam-3534	76	38	>	>	X
ejpam-3534	76	39	0	0	NUM
ejpam-3534	76	40	,	,	PUNCT
ejpam-3534	76	41	•	•	NUM
ejpam-3534	76	42	monotone	monotone	NOUN
ejpam-3534	76	43	if	if	SCONJ
ejpam-3534	76	44	ψt	ψt	NOUN
ejpam-3534	76	45	is	be	AUX
ejpam-3534	76	46	monotone	monotone	ADJ
ejpam-3534	76	47	for	for	ADP
ejpam-3534	76	48	all	all	DET
ejpam-3534	76	49	t	t	PROPN
ejpam-3534	76	50	≥	≥	NOUN
ejpam-3534	76	51	0	0	NUM
ejpam-3534	76	52	.	.	PUNCT
ejpam-3534	77	1	this	this	PRON
ejpam-3534	77	2	is	be	AUX
ejpam-3534	77	3	the	the	DET
ejpam-3534	77	4	chief	chief	ADJ
ejpam-3534	77	5	result	result	NOUN
ejpam-3534	77	6	:	:	PUNCT
ejpam-3534	77	7	theorem	theorem	ADJ
ejpam-3534	77	8	1	1	NUM
ejpam-3534	77	9	(	(	PUNCT
ejpam-3534	77	10	main	main	ADJ
ejpam-3534	77	11	)	)	PUNCT
ejpam-3534	77	12	.	.	PUNCT
ejpam-3534	78	1	assume	assume	VERB
ejpam-3534	78	2	:	:	PUNCT
ejpam-3534	78	3	(	(	PUNCT
ejpam-3534	78	4	h1	h1	PROPN
ejpam-3534	78	5	)	)	PUNCT
ejpam-3534	78	6	x	x	PRON
ejpam-3534	78	7	is	be	AUX
ejpam-3534	78	8	a	a	DET
ejpam-3534	78	9	connected	connected	ADJ
ejpam-3534	78	10	open	open	ADJ
ejpam-3534	78	11	set	set	NOUN
ejpam-3534	78	12	in	in	ADP
ejpam-3534	78	13	d	d	ADJ
ejpam-3534	78	14	-	-	ADJ
ejpam-3534	78	15	dimensional	dimensional	ADJ
ejpam-3534	78	16	euclidean	euclidean	ADJ
ejpam-3534	78	17	space	space	NOUN
ejpam-3534	78	18	rd	rd	PROPN
ejpam-3534	78	19	.	.	PUNCT
ejpam-3534	79	1	(	(	PUNCT
ejpam-3534	79	2	h2	h2	PROPN
ejpam-3534	79	3	)	)	PUNCT
ejpam-3534	80	1	k	k	PROPN
ejpam-3534	80	2	⊂	⊂	PROPN
ejpam-3534	80	3	rd	rd	PROPN
ejpam-3534	80	4	is	be	AUX
ejpam-3534	80	5	a	a	DET
ejpam-3534	80	6	closed	closed	ADJ
ejpam-3534	80	7	cone	cone	NOUN
ejpam-3534	80	8	with	with	ADP
ejpam-3534	80	9	nonempty	nonempty	ADJ
ejpam-3534	80	10	interior	interior	NOUN
ejpam-3534	80	11	that	that	PRON
ejpam-3534	80	12	is	be	AUX
ejpam-3534	80	13	convex	convex	ADJ
ejpam-3534	80	14	(	(	PUNCT
ejpam-3534	80	15	contains	contain	VERB
ejpam-3534	80	16	the	the	DET
ejpam-3534	80	17	line	line	NOUN
ejpam-3534	80	18	segment	segment	NOUN
ejpam-3534	80	19	joining	join	VERB
ejpam-3534	80	20	any	any	DET
ejpam-3534	80	21	two	two	NUM
ejpam-3534	80	22	of	of	ADP
ejpam-3534	80	23	its	its	PRON
ejpam-3534	80	24	points	point	NOUN
ejpam-3534	80	25	)	)	PUNCT
ejpam-3534	80	26	,	,	PUNCT
ejpam-3534	80	27	solid	solid	ADJ
ejpam-3534	80	28	(	(	PUNCT
ejpam-3534	80	29	has	have	AUX
ejpam-3534	80	30	nonempty	nonempty	VERB
ejpam-3534	80	31	interior	interior	NOUN
ejpam-3534	80	32	)	)	PUNCT
ejpam-3534	80	33	,	,	PUNCT
ejpam-3534	80	34	and	and	CCONJ
ejpam-3534	80	35	pointed	point	VERB
ejpam-3534	80	36	(	(	PUNCT
ejpam-3534	80	37	contains	contain	VERB
ejpam-3534	80	38	no	no	DET
ejpam-3534	80	39	straight	straight	ADJ
ejpam-3534	80	40	line	line	NOUN
ejpam-3534	80	41	)	)	PUNCT
ejpam-3534	80	42	.	.	PUNCT
ejpam-3534	81	1	(	(	PUNCT
ejpam-3534	81	2	h3	h3	NOUN
ejpam-3534	81	3	)	)	PUNCT
ejpam-3534	81	4	the	the	DET
ejpam-3534	81	5	order	order	NOUN
ejpam-3534	81	6	on	on	ADP
ejpam-3534	81	7	x	x	SYM
ejpam-3534	81	8	is	be	AUX
ejpam-3534	81	9	defined	define	VERB
ejpam-3534	81	10	as	as	ADP
ejpam-3534	81	11	:	:	PUNCT
ejpam-3534	81	12	x	x	PART
ejpam-3534	81	13	�	�	PROPN
ejpam-3534	81	14	y	y	PROPN
ejpam-3534	81	15	⇐	⇐	PROPN
ejpam-3534	81	16	⇒	⇒	NOUN
ejpam-3534	81	17	x	x	PUNCT
ejpam-3534	82	1	−	−	PROPN
ejpam-3534	82	2	y	y	PROPN
ejpam-3534	82	3	∈	∈	PROPN
ejpam-3534	82	4	k.	k.	PROPN
ejpam-3534	82	5	(	(	PUNCT
ejpam-3534	82	6	h4	h4	PROPN
ejpam-3534	82	7	)	)	PUNCT
ejpam-3534	82	8	ϕ	ϕ	NOUN
ejpam-3534	82	9	is	be	AUX
ejpam-3534	82	10	a	a	DET
ejpam-3534	82	11	monotone	monotone	ADJ
ejpam-3534	82	12	flow	flow	NOUN
ejpam-3534	82	13	on	on	ADP
ejpam-3534	82	14	x.	x.	PROPN
ejpam-3534	82	15	(	(	PUNCT
ejpam-3534	82	16	h5	h5	PROPN
ejpam-3534	82	17	)	)	PUNCT
ejpam-3534	82	18	ϕ	ϕ	NOUN
ejpam-3534	82	19	is	be	AUX
ejpam-3534	82	20	densely	densely	ADV
ejpam-3534	82	21	periodic	periodic	ADJ
ejpam-3534	82	22	.	.	PUNCT
ejpam-3534	83	1	then	then	ADV
ejpam-3534	83	2	ϕ	ϕ	PROPN
ejpam-3534	83	3	is	be	AUX
ejpam-3534	83	4	globally	globally	ADV
ejpam-3534	83	5	periodic	periodic	ADJ
ejpam-3534	83	6	.	.	PUNCT
ejpam-3534	84	1	2	2	X
ejpam-3534	84	2	.	.	X
ejpam-3534	84	3	resonant	resonant	PROPN
ejpam-3534	84	4	flows	flow	NOUN
ejpam-3534	84	5	let	let	VERB
ejpam-3534	84	6	ψ	ψ	PART
ejpam-3534	84	7	denote	denote	VERB
ejpam-3534	84	8	a	a	DET
ejpam-3534	84	9	monotone	monotone	ADJ
ejpam-3534	84	10	flow	flow	NOUN
ejpam-3534	84	11	on	on	ADP
ejpam-3534	84	12	an	an	DET
ejpam-3534	84	13	arbitrary	arbitrary	ADJ
ejpam-3534	84	14	ordered	order	VERB
ejpam-3534	84	15	space	space	NOUN
ejpam-3534	84	16	x.	x.	NOUN
ejpam-3534	84	17	definition	definition	NOUN
ejpam-3534	84	18	.	.	PUNCT
ejpam-3534	85	1	a	a	DET
ejpam-3534	85	2	set	set	NOUN
ejpam-3534	85	3	s	s	X
ejpam-3534	85	4	⊂	⊂	X
ejpam-3534	85	5	x	x	X
ejpam-3534	85	6	is	be	AUX
ejpam-3534	85	7	resonant	resonant	ADJ
ejpam-3534	85	8	and	and	CCONJ
ejpam-3534	85	9	ψ	ψ	NOUN
ejpam-3534	85	10	is	be	AUX
ejpam-3534	85	11	resonant	resonant	ADJ
ejpam-3534	85	12	in	in	ADP
ejpam-3534	85	13	s	s	PRON
ejpam-3534	85	14	,	,	PUNCT
ejpam-3534	85	15	provided	provide	VERB
ejpam-3534	85	16	:	:	PUNCT
ejpam-3534	85	17	a	a	DET
ejpam-3534	85	18	,	,	PUNCT
ejpam-3534	85	19	b	b	PROPN
ejpam-3534	85	20	∈	∈	NOUN
ejpam-3534	85	21	s	s	PART
ejpam-3534	85	22	∩	∩	NOUN
ejpam-3534	85	23	p	p	NOUN
ejpam-3534	85	24	\	\	NOUN
ejpam-3534	85	25	e	e	X
ejpam-3534	85	26	=	=	NOUN
ejpam-3534	85	27	⇒	⇒	NOUN
ejpam-3534	85	28	per	per	ADP
ejpam-3534	85	29	(	(	PUNCT
ejpam-3534	85	30	a)/per	a)/per	X
ejpam-3534	85	31	(	(	PUNCT
ejpam-3534	85	32	b	b	NOUN
ejpam-3534	85	33	)	)	PUNCT
ejpam-3534	85	34	∈	∈	PROPN
ejpam-3534	85	35	q+	q+	ADP
ejpam-3534	85	36	.	.	PUNCT
ejpam-3534	86	1	it	it	PRON
ejpam-3534	86	2	is	be	AUX
ejpam-3534	86	3	easy	easy	ADJ
ejpam-3534	86	4	to	to	PART
ejpam-3534	86	5	see	see	VERB
ejpam-3534	86	6	that	that	PRON
ejpam-3534	86	7	:	:	PUNCT
ejpam-3534	86	8	•	•	X
ejpam-3534	86	9	if	if	SCONJ
ejpam-3534	86	10	s	s	VERB
ejpam-3534	86	11	is	be	AUX
ejpam-3534	86	12	resonant	resonant	ADJ
ejpam-3534	86	13	,	,	PUNCT
ejpam-3534	86	14	so	so	ADV
ejpam-3534	86	15	is	be	AUX
ejpam-3534	86	16	its	its	PRON
ejpam-3534	86	17	orbit	orbit	NOUN
ejpam-3534	86	18	and	and	CCONJ
ejpam-3534	86	19	every	every	DET
ejpam-3534	86	20	subset	subset	NOUN
ejpam-3534	86	21	.	.	PUNCT
ejpam-3534	87	1	•	•	NUM
ejpam-3534	87	2	the	the	DET
ejpam-3534	87	3	intersection	intersection	NOUN
ejpam-3534	87	4	of	of	ADP
ejpam-3534	87	5	resonant	resonant	ADJ
ejpam-3534	87	6	sets	set	NOUN
ejpam-3534	87	7	is	be	AUX
ejpam-3534	87	8	resonant	resonant	ADJ
ejpam-3534	87	9	.	.	PUNCT
ejpam-3534	88	1	•	•	NUM
ejpam-3534	88	2	the	the	DET
ejpam-3534	88	3	union	union	NOUN
ejpam-3534	88	4	of	of	ADP
ejpam-3534	88	5	resonant	resonant	ADJ
ejpam-3534	88	6	sets	set	NOUN
ejpam-3534	88	7	is	be	AUX
ejpam-3534	88	8	resonant	resonant	ADJ
ejpam-3534	88	9	if	if	SCONJ
ejpam-3534	88	10	their	their	PRON
ejpam-3534	88	11	intersection	intersection	NOUN
ejpam-3534	88	12	meets	meet	VERB
ejpam-3534	88	13	a	a	DET
ejpam-3534	88	14	cycle	cycle	NOUN
ejpam-3534	88	15	,	,	PUNCT
ejpam-3534	88	16	theorem	theorem	ADJ
ejpam-3534	88	17	2	2	NUM
ejpam-3534	88	18	(	(	PUNCT
ejpam-3534	88	19	resonance	resonance	NOUN
ejpam-3534	88	20	criterion	criterion	NOUN
ejpam-3534	88	21	)	)	PUNCT
ejpam-3534	88	22	.	.	PUNCT
ejpam-3534	89	1	assume	assume	VERB
ejpam-3534	89	2	p	p	X
ejpam-3534	89	3	,	,	PUNCT
ejpam-3534	89	4	q	q	PROPN
ejpam-3534	89	5	∈	∈	PROPN
ejpam-3534	89	6	p	p	NOUN
ejpam-3534	89	7	\	\	PROPN
ejpam-3534	89	8	e	e	NOUN
ejpam-3534	89	9	,	,	PUNCT
ejpam-3534	89	10	[	[	X
ejpam-3534	89	11	p	p	X
ejpam-3534	89	12	,	,	PUNCT
ejpam-3534	89	13	q	q	X
ejpam-3534	89	14	]	]	X
ejpam-3534	89	15	⊂	⊂	PUNCT
ejpam-3534	89	16	x	x	X
ejpam-3534	89	17	,	,	PUNCT
ejpam-3534	89	18	p	p	NOUN
ejpam-3534	89	19	≺	≺	NOUN
ejpam-3534	89	20	q	q	NOUN
ejpam-3534	89	21	,	,	PUNCT
ejpam-3534	89	22	o(p	o(p	PROPN
ejpam-3534	89	23	)	)	PUNCT
ejpam-3534	89	24	⊀	⊀	PROPN
ejpam-3534	89	25	o(q	o(q	PROPN
ejpam-3534	89	26	)	)	PUNCT
ejpam-3534	89	27	.	.	PUNCT
ejpam-3534	90	1	(	(	PUNCT
ejpam-3534	90	2	5	5	NUM
ejpam-3534	90	3	)	)	PUNCT
ejpam-3534	90	4	then	then	ADV
ejpam-3534	90	5	[	[	X
ejpam-3534	90	6	p	p	X
ejpam-3534	90	7	,	,	PUNCT
ejpam-3534	90	8	q	q	X
ejpam-3534	90	9	]	]	PUNCT
ejpam-3534	90	10	is	be	AUX
ejpam-3534	90	11	resonant	resonant	ADJ
ejpam-3534	90	12	.	.	PUNCT
ejpam-3534	91	1	m.	m.	NOUN
ejpam-3534	91	2	w.	w.	PROPN
ejpam-3534	91	3	hirsch	hirsch	PROPN
ejpam-3534	91	4	/	/	SYM
ejpam-3534	91	5	eur	eur	PROPN
ejpam-3534	91	6	.	.	PUNCT
ejpam-3534	92	1	j.	j.	PROPN
ejpam-3534	92	2	pure	pure	PROPN
ejpam-3534	92	3	appl	appl	PROPN
ejpam-3534	92	4	.	.	PROPN
ejpam-3534	92	5	math	math	PROPN
ejpam-3534	92	6	,	,	PUNCT
ejpam-3534	92	7	12	12	NUM
ejpam-3534	92	8	(	(	PUNCT
ejpam-3534	92	9	4	4	NUM
ejpam-3534	92	10	)	)	PUNCT
ejpam-3534	92	11	(	(	PUNCT
ejpam-3534	92	12	2019	2019	NUM
ejpam-3534	92	13	)	)	PUNCT
ejpam-3534	92	14	,	,	PUNCT
ejpam-3534	92	15	1350	1350	NUM
ejpam-3534	92	16	-	-	SYM
ejpam-3534	92	17	1359	1359	NUM
ejpam-3534	92	18	1354	1354	NUM
ejpam-3534	92	19	proof	proof	NOUN
ejpam-3534	92	20	.	.	PUNCT
ejpam-3534	93	1	set	set	VERB
ejpam-3534	93	2	per	per	ADP
ejpam-3534	93	3	(	(	PUNCT
ejpam-3534	93	4	p	p	NOUN
ejpam-3534	93	5	)	)	PUNCT
ejpam-3534	93	6	=	=	SYM
ejpam-3534	94	1	r	r	NOUN
ejpam-3534	94	2	>	>	X
ejpam-3534	94	3	0	0	NUM
ejpam-3534	94	4	,	,	PUNCT
ejpam-3534	94	5	per	per	X
ejpam-3534	94	6	(	(	PUNCT
ejpam-3534	94	7	q	q	X
ejpam-3534	94	8	)	)	PUNCT
ejpam-3534	94	9	=	=	SYM
ejpam-3534	94	10	s	s	X
ejpam-3534	94	11	>	>	X
ejpam-3534	94	12	0	0	NUM
ejpam-3534	94	13	.	.	PUNCT
ejpam-3534	95	1	(	(	PUNCT
ejpam-3534	95	2	6	6	X
ejpam-3534	95	3	)	)	PUNCT
ejpam-3534	95	4	i	i	PRON
ejpam-3534	95	5	claim	claim	VERB
ejpam-3534	95	6	:	:	PUNCT
ejpam-3534	95	7	r	r	X
ejpam-3534	95	8	/	/	SYM
ejpam-3534	95	9	s	s	PART
ejpam-3534	95	10	is	be	AUX
ejpam-3534	95	11	rational	rational	ADJ
ejpam-3534	95	12	.	.	PUNCT
ejpam-3534	96	1	(	(	PUNCT
ejpam-3534	96	2	7	7	X
ejpam-3534	96	3	)	)	PUNCT
ejpam-3534	96	4	this	this	PRON
ejpam-3534	96	5	is	be	AUX
ejpam-3534	96	6	trivial	trivial	ADJ
ejpam-3534	96	7	if	if	SCONJ
ejpam-3534	96	8	r	r	NOUN
ejpam-3534	96	9	=	=	PUNCT
ejpam-3534	96	10	s.	s.	PROPN
ejpam-3534	96	11	to	to	PART
ejpam-3534	96	12	fix	fix	VERB
ejpam-3534	96	13	ideas	idea	NOUN
ejpam-3534	96	14	,	,	PUNCT
ejpam-3534	96	15	assume	assume	VERB
ejpam-3534	96	16	assume	assume	VERB
ejpam-3534	96	17	r	r	NOUN
ejpam-3534	96	18	<	<	X
ejpam-3534	96	19	s	s	PROPN
ejpam-3534	96	20	,	,	PUNCT
ejpam-3534	96	21	the	the	DET
ejpam-3534	96	22	case	case	NOUN
ejpam-3534	96	23	r	r	NOUN
ejpam-3534	96	24	>	>	X
ejpam-3534	96	25	s	s	VERB
ejpam-3534	96	26	being	be	AUX
ejpam-3534	96	27	similar	similar	ADJ
ejpam-3534	96	28	.	.	PUNCT
ejpam-3534	97	1	set	set	VERB
ejpam-3534	97	2	ξ	ξ	PROPN
ejpam-3534	97	3	:	:	PUNCT
ejpam-3534	97	4	=	=	SYM
ejpam-3534	97	5	r	r	X
ejpam-3534	97	6	/	/	SYM
ejpam-3534	97	7	s.	s.	PROPN
ejpam-3534	97	8	for	for	ADP
ejpam-3534	97	9	all	all	DET
ejpam-3534	97	10	n	n	CCONJ
ejpam-3534	97	11	,	,	PUNCT
ejpam-3534	97	12	m	m	PROPN
ejpam-3534	97	13	∈	∈	PROPN
ejpam-3534	97	14	z	z	NOUN
ejpam-3534	97	15	:	:	PUNCT
ejpam-3534	97	16	p	p	X
ejpam-3534	97	17	=	=	PUNCT
ejpam-3534	97	18	(	(	PUNCT
ejpam-3534	97	19	ψr)n	ψr)n	PROPN
ejpam-3534	97	20	p	p	NOUN
ejpam-3534	97	21	=	=	X
ejpam-3534	97	22	ψnr	ψnr	NOUN
ejpam-3534	97	23	p	p	NOUN
ejpam-3534	97	24	,	,	PUNCT
ejpam-3534	97	25	q	q	NOUN
ejpam-3534	97	26	=	=	PUNCT
ejpam-3534	97	27	(	(	PUNCT
ejpam-3534	97	28	ψs)mq	ψs)mq	PUNCT
ejpam-3534	97	29	=	=	SYM
ejpam-3534	97	30	ψmsq	ψmsq	NOUN
ejpam-3534	97	31	.	.	PUNCT
ejpam-3534	98	1	monotonicity	monotonicity	NOUN
ejpam-3534	98	2	implies	imply	VERB
ejpam-3534	98	3	p	p	X
ejpam-3534	98	4	=	=	X
ejpam-3534	98	5	ψnr	ψnr	NOUN
ejpam-3534	98	6	p	p	NOUN
ejpam-3534	98	7	≺	≺	NOUN
ejpam-3534	98	8	ψnrq	ψnrq	NOUN
ejpam-3534	98	9	=	=	PUNCT
ejpam-3534	98	10	ψnr+msq	ψnr+msq	NOUN
ejpam-3534	98	11	=	=	SYM
ejpam-3534	98	12	ψ(nξ+m)sq	ψ(nξ+m)sq	ADJ
ejpam-3534	98	13	,	,	PUNCT
ejpam-3534	98	14	whence	whence	ADP
ejpam-3534	98	15	p	p	NOUN
ejpam-3534	98	16	≺	≺	NOUN
ejpam-3534	98	17	ψ(nξ+m)sq	ψ(nξ+m)sq	ADJ
ejpam-3534	98	18	,	,	PUNCT
ejpam-3534	98	19	(	(	PUNCT
ejpam-3534	98	20	n	n	X
ejpam-3534	98	21	,	,	PUNCT
ejpam-3534	98	22	m	m	PROPN
ejpam-3534	98	23	∈	∈	PROPN
ejpam-3534	98	24	z	z	PROPN
ejpam-3534	98	25	)	)	PUNCT
ejpam-3534	98	26	.	.	PUNCT
ejpam-3534	99	1	(	(	PUNCT
ejpam-3534	99	2	8)	8)	NUM
ejpam-3534	99	3	assume	assume	VERB
ejpam-3534	99	4	per	per	ADP
ejpam-3534	99	5	contra	contra	PROPN
ejpam-3534	99	6	that	that	SCONJ
ejpam-3534	99	7	ξ	ξ	PROPN
ejpam-3534	99	8	is	be	AUX
ejpam-3534	99	9	irrational	irrational	ADJ
ejpam-3534	99	10	.	.	PUNCT
ejpam-3534	100	1	then	then	ADV
ejpam-3534	100	2	λ	λ	X
ejpam-3534	100	3	:	:	PUNCT
ejpam-3534	100	4	=	=	X
ejpam-3534	100	5	{	{	PUNCT
ejpam-3534	100	6	(	(	PUNCT
ejpam-3534	100	7	nξ	nξ	ADP
ejpam-3534	100	8	+	+	ADJ
ejpam-3534	100	9	m)s	m)s	ADJ
ejpam-3534	100	10	:	:	PUNCT
ejpam-3534	100	11	n	n	X
ejpam-3534	100	12	,	,	PUNCT
ejpam-3534	100	13	m	m	VERB
ejpam-3534	100	14	∈	∈	PROPN
ejpam-3534	100	15	z	z	NOUN
ejpam-3534	100	16	}	}	PUNCT
ejpam-3534	100	17	.	.	PUNCT
ejpam-3534	101	1	is	be	AUX
ejpam-3534	101	2	dense	dense	ADJ
ejpam-3534	101	3	in	in	ADP
ejpam-3534	101	4	r,∗	r,∗	PROPN
ejpam-3534	101	5	whence	whence	NOUN
ejpam-3534	101	6	γ	γ	X
ejpam-3534	101	7	:	:	PUNCT
ejpam-3534	101	8	=	=	SYM
ejpam-3534	101	9	{	{	PUNCT
ejpam-3534	101	10	φtq	φtq	NOUN
ejpam-3534	101	11	:	:	PUNCT
ejpam-3534	101	12	t	t	PROPN
ejpam-3534	101	13	∈	∈	PROPN
ejpam-3534	101	14	λ	λ	PROPN
ejpam-3534	101	15	}	}	PUNCT
ejpam-3534	101	16	is	be	AUX
ejpam-3534	101	17	dense	dense	ADJ
ejpam-3534	101	18	in	in	ADP
ejpam-3534	101	19	o(q	o(q	NOUN
ejpam-3534	101	20	)	)	PUNCT
ejpam-3534	101	21	.	.	PUNCT
ejpam-3534	102	1	as	as	SCONJ
ejpam-3534	102	2	the	the	DET
ejpam-3534	102	3	partial	partial	ADJ
ejpam-3534	102	4	order	order	NOUN
ejpam-3534	102	5	relation	relation	NOUN
ejpam-3534	102	6	is	be	AUX
ejpam-3534	102	7	closed	close	VERB
ejpam-3534	102	8	,	,	PUNCT
ejpam-3534	102	9	(	(	PUNCT
ejpam-3534	102	10	8)	8)	NUM
ejpam-3534	102	11	implies	imply	VERB
ejpam-3534	102	12	p	p	PROPN
ejpam-3534	102	13	�	�	PROPN
ejpam-3534	102	14	γ	γ	PROPN
ejpam-3534	102	15	⊂	⊂	PROPN
ejpam-3534	102	16	γ	γ	X
ejpam-3534	102	17	=	=	SYM
ejpam-3534	102	18	o(q	o(q	PROPN
ejpam-3534	102	19	)	)	PUNCT
ejpam-3534	102	20	.	.	PUNCT
ejpam-3534	103	1	(	(	PUNCT
ejpam-3534	103	2	9	9	X
ejpam-3534	103	3	)	)	PUNCT
ejpam-3534	103	4	invariance	invariance	NOUN
ejpam-3534	103	5	of	of	ADP
ejpam-3534	103	6	cycles	cycle	NOUN
ejpam-3534	103	7	implies	imply	VERB
ejpam-3534	103	8	o(p	o(p	PROPN
ejpam-3534	103	9	)	)	PUNCT
ejpam-3534	103	10	�	�	PROPN
ejpam-3534	103	11	o(q	o(q	PROPN
ejpam-3534	103	12	)	)	PUNCT
ejpam-3534	103	13	by	by	ADP
ejpam-3534	103	14	(	(	PUNCT
ejpam-3534	103	15	9	9	NUM
ejpam-3534	103	16	)	)	PUNCT
ejpam-3534	103	17	,	,	PUNCT
ejpam-3534	103	18	monotonicity	monotonicity	NOUN
ejpam-3534	103	19	of	of	ADP
ejpam-3534	103	20	ψ	ψ	NOUN
ejpam-3534	103	21	,	,	PUNCT
ejpam-3534	103	22	and	and	CCONJ
ejpam-3534	103	23	transitivity	transitivity	NOUN
ejpam-3534	103	24	of	of	ADP
ejpam-3534	103	25	ψ|o(p	ψ|o(p	PROPN
ejpam-3534	103	26	)	)	PUNCT
ejpam-3534	103	27	.	.	PUNCT
ejpam-3534	104	1	therefore	therefore	ADV
ejpam-3534	104	2	disjointness	disjointness	NOUN
ejpam-3534	104	3	of	of	ADP
ejpam-3534	104	4	o(p	o(p	PROPN
ejpam-3534	104	5	)	)	PUNCT
ejpam-3534	104	6	and	and	CCONJ
ejpam-3534	104	7	o(q	o(q	NOUN
ejpam-3534	104	8	)	)	PUNCT
ejpam-3534	104	9	implies	imply	VERB
ejpam-3534	104	10	o(p	o(p	NOUN
ejpam-3534	104	11	)	)	PUNCT
ejpam-3534	104	12	≺	≺	NOUN
ejpam-3534	104	13	o(q	o(q	NOUN
ejpam-3534	104	14	)	)	PUNCT
ejpam-3534	104	15	.	.	PUNCT
ejpam-3534	105	1	since	since	SCONJ
ejpam-3534	105	2	this	this	PRON
ejpam-3534	105	3	contradicts	contradict	VERB
ejpam-3534	105	4	the	the	DET
ejpam-3534	105	5	hypothesis	hypothesis	NOUN
ejpam-3534	105	6	,	,	PUNCT
ejpam-3534	105	7	(	(	PUNCT
ejpam-3534	105	8	7	7	X
ejpam-3534	105	9	)	)	PUNCT
ejpam-3534	105	10	is	be	AUX
ejpam-3534	105	11	proved	prove	VERB
ejpam-3534	105	12	.	.	PUNCT
ejpam-3534	106	1	next	next	ADV
ejpam-3534	106	2	we	we	PRON
ejpam-3534	106	3	prove	prove	VERB
ejpam-3534	106	4	:	:	PUNCT
ejpam-3534	106	5	u	u	NOUN
ejpam-3534	106	6	∈	∈	PROPN
ejpam-3534	107	1	[	[	X
ejpam-3534	107	2	p	p	X
ejpam-3534	107	3	,	,	PUNCT
ejpam-3534	107	4	q	q	X
ejpam-3534	107	5	]	]	X
ejpam-3534	107	6	∩	∩	NOUN
ejpam-3534	107	7	p	p	NOUN
ejpam-3534	107	8	\	\	X
ejpam-3534	107	9	e	e	X
ejpam-3534	107	10	=	=	NOUN
ejpam-3534	107	11	⇒	⇒	NOUN
ejpam-3534	107	12	per	per	ADP
ejpam-3534	107	13	(	(	PUNCT
ejpam-3534	107	14	u	u	NOUN
ejpam-3534	107	15	)	)	PUNCT
ejpam-3534	107	16	per	per	ADP
ejpam-3534	107	17	(	(	PUNCT
ejpam-3534	107	18	q	q	NOUN
ejpam-3534	107	19	)	)	PUNCT
ejpam-3534	107	20	∈	∈	PROPN
ejpam-3534	107	21	q+	q+	PROPN
ejpam-3534	107	22	.	.	PUNCT
ejpam-3534	108	1	(	(	PUNCT
ejpam-3534	108	2	10	10	NUM
ejpam-3534	108	3	)	)	PUNCT
ejpam-3534	108	4	this	this	PRON
ejpam-3534	108	5	is	be	AUX
ejpam-3534	108	6	trivial	trivial	ADJ
ejpam-3534	108	7	if	if	SCONJ
ejpam-3534	108	8	u	u	PROPN
ejpam-3534	108	9	∈	∈	PROPN
ejpam-3534	108	10	e	e	NOUN
ejpam-3534	108	11	or	or	CCONJ
ejpam-3534	108	12	u	u	NOUN
ejpam-3534	108	13	=	=	NOUN
ejpam-3534	108	14	q	q	NOUN
ejpam-3534	108	15	,	,	PUNCT
ejpam-3534	108	16	so	so	ADV
ejpam-3534	108	17	we	we	PRON
ejpam-3534	108	18	assume	assume	VERB
ejpam-3534	108	19	u	u	PRON
ejpam-3534	108	20	<	<	X
ejpam-3534	108	21	e	e	NOUN
ejpam-3534	108	22	and	and	CCONJ
ejpam-3534	108	23	p	p	PROPN
ejpam-3534	108	24	�	�	PROPN
ejpam-3534	108	25	u	u	PROPN
ejpam-3534	108	26	≺	≺	NOUN
ejpam-3534	108	27	q.	q.	NOUN
ejpam-3534	108	28	note	note	VERB
ejpam-3534	108	29	that	that	SCONJ
ejpam-3534	108	30	o(u	o(u	ADJ
ejpam-3534	108	31	)	)	PUNCT
ejpam-3534	108	32	⊀	⊀	PROPN
ejpam-3534	108	33	o(q	o(q	PROPN
ejpam-3534	108	34	)	)	PUNCT
ejpam-3534	108	35	because	because	SCONJ
ejpam-3534	108	36	otherwise	otherwise	ADV
ejpam-3534	108	37	o(p	o(p	PROPN
ejpam-3534	108	38	)	)	PUNCT
ejpam-3534	108	39	≺	≺	NOUN
ejpam-3534	108	40	o(q	o(q	NOUN
ejpam-3534	108	41	)	)	PUNCT
ejpam-3534	108	42	,	,	PUNCT
ejpam-3534	108	43	contrary	contrary	ADV
ejpam-3534	108	44	to	to	ADP
ejpam-3534	108	45	hypothesis	hypothesis	NOUN
ejpam-3534	108	46	.	.	PUNCT
ejpam-3534	109	1	therefore	therefore	ADV
ejpam-3534	109	2	(	(	PUNCT
ejpam-3534	109	3	10	10	NUM
ejpam-3534	109	4	)	)	PUNCT
ejpam-3534	109	5	follows	follow	VERB
ejpam-3534	109	6	from	from	ADP
ejpam-3534	109	7	(	(	PUNCT
ejpam-3534	109	8	7	7	NUM
ejpam-3534	109	9	)	)	PUNCT
ejpam-3534	109	10	.	.	PUNCT
ejpam-3534	110	1	resonance	resonance	NOUN
ejpam-3534	110	2	of	of	ADP
ejpam-3534	110	3	[	[	X
ejpam-3534	110	4	u	u	NOUN
ejpam-3534	110	5	,	,	PUNCT
ejpam-3534	110	6	v	v	NOUN
ejpam-3534	110	7	]	]	PUNCT
ejpam-3534	110	8	now	now	ADV
ejpam-3534	110	9	follows	follow	VERB
ejpam-3534	110	10	:	:	PUNCT
ejpam-3534	110	11	if	if	SCONJ
ejpam-3534	110	12	u	u	NOUN
ejpam-3534	110	13	,	,	PUNCT
ejpam-3534	110	14	v	v	NOUN
ejpam-3534	110	15	∈	∈	PROPN
ejpam-3534	111	1	[	[	X
ejpam-3534	111	2	p	p	X
ejpam-3534	111	3	,	,	PUNCT
ejpam-3534	111	4	q]∩p	q]∩p	ADV
ejpam-3534	111	5	\	\	PUNCT
ejpam-3534	111	6	e	e	NOUN
ejpam-3534	111	7	,	,	PUNCT
ejpam-3534	111	8	then	then	ADV
ejpam-3534	111	9	applying	apply	VERB
ejpam-3534	111	10	the	the	DET
ejpam-3534	111	11	claim	claim	NOUN
ejpam-3534	111	12	to	to	ADP
ejpam-3534	111	13	both	both	PRON
ejpam-3534	111	14	u	u	NOUN
ejpam-3534	111	15	and	and	CCONJ
ejpam-3534	111	16	v	v	NOUN
ejpam-3534	111	17	gives	give	VERB
ejpam-3534	111	18	:	:	PUNCT
ejpam-3534	111	19	per	per	ADP
ejpam-3534	111	20	(	(	PUNCT
ejpam-3534	111	21	u	u	NOUN
ejpam-3534	111	22	)	)	PUNCT
ejpam-3534	111	23	per	per	ADP
ejpam-3534	111	24	(	(	PUNCT
ejpam-3534	111	25	v	v	NOUN
ejpam-3534	111	26	)	)	PUNCT
ejpam-3534	111	27	=	=	PUNCT
ejpam-3534	111	28	per	per	X
ejpam-3534	111	29	(	(	PUNCT
ejpam-3534	111	30	u	u	NOUN
ejpam-3534	111	31	)	)	PUNCT
ejpam-3534	111	32	per	per	ADP
ejpam-3534	111	33	(	(	PUNCT
ejpam-3534	111	34	q	q	NOUN
ejpam-3534	111	35	)	)	PUNCT
ejpam-3534	111	36	·	·	PUNCT
ejpam-3534	111	37	per	per	ADP
ejpam-3534	111	38	(	(	PUNCT
ejpam-3534	111	39	q	q	NOUN
ejpam-3534	111	40	)	)	PUNCT
ejpam-3534	111	41	per	per	ADP
ejpam-3534	111	42	(	(	PUNCT
ejpam-3534	111	43	v	v	NOUN
ejpam-3534	111	44	)	)	PUNCT
ejpam-3534	111	45	∈	∈	PROPN
ejpam-3534	111	46	q+	q+	PROPN
ejpam-3534	111	47	.	.	PUNCT
ejpam-3534	112	1	proposition	proposition	NOUN
ejpam-3534	112	2	1	1	NUM
ejpam-3534	112	3	.	.	PUNCT
ejpam-3534	113	1	let	let	VERB
ejpam-3534	113	2	p	p	PRON
ejpam-3534	113	3	,	,	PUNCT
ejpam-3534	113	4	q	q	NOUN
ejpam-3534	113	5	∈	∈	PROPN
ejpam-3534	113	6	p(ψ	p(ψ	PROPN
ejpam-3534	113	7	)	)	PUNCT
ejpam-3534	113	8	\	\	NOUN
ejpam-3534	114	1	e(ψ	e(ψ	NOUN
ejpam-3534	114	2	)	)	PUNCT
ejpam-3534	114	3	satisfy	satisfy	NOUN
ejpam-3534	114	4	(	(	PUNCT
ejpam-3534	114	5	5	5	NUM
ejpam-3534	114	6	)	)	PUNCT
ejpam-3534	114	7	.	.	PUNCT
ejpam-3534	115	1	if	if	SCONJ
ejpam-3534	115	2	p(ψ	p(ψ	NOUN
ejpam-3534	115	3	)	)	PUNCT
ejpam-3534	115	4	is	be	AUX
ejpam-3534	115	5	dense	dense	ADJ
ejpam-3534	115	6	in	in	ADP
ejpam-3534	115	7	[	[	X
ejpam-3534	115	8	p	p	X
ejpam-3534	115	9	,	,	PUNCT
ejpam-3534	115	10	q	q	X
ejpam-3534	115	11	]	]	X
ejpam-3534	115	12	,	,	PUNCT
ejpam-3534	115	13	there	there	PRON
ejpam-3534	115	14	exists	exist	VERB
ejpam-3534	115	15	l	l	NOUN
ejpam-3534	115	16	>	>	X
ejpam-3534	115	17	0	0	NUM
ejpam-3534	116	1	such	such	ADJ
ejpam-3534	116	2	that	that	SCONJ
ejpam-3534	116	3	:	:	PUNCT
ejpam-3534	116	4	∗equivalently	∗equivalently	ADV
ejpam-3534	116	5	:	:	PUNCT
ejpam-3534	116	6	the	the	DET
ejpam-3534	116	7	orbit	orbit	NOUN
ejpam-3534	116	8	of	of	ADP
ejpam-3534	116	9	a	a	DET
ejpam-3534	116	10	rotation	rotation	NOUN
ejpam-3534	116	11	of	of	ADP
ejpam-3534	116	12	the	the	DET
ejpam-3534	116	13	circle	circle	NOUN
ejpam-3534	116	14	s1	s1	NOUN
ejpam-3534	116	15	through	through	ADP
ejpam-3534	116	16	an	an	DET
ejpam-3534	116	17	irrational	irrational	ADJ
ejpam-3534	116	18	multiple	multiple	NOUN
ejpam-3534	116	19	of	of	ADP
ejpam-3534	116	20	π	π	PROPN
ejpam-3534	116	21	is	be	AUX
ejpam-3534	116	22	dense	dense	ADJ
ejpam-3534	116	23	in	in	ADP
ejpam-3534	116	24	s1	s1	NOUN
ejpam-3534	116	25	.	.	PUNCT
ejpam-3534	117	1	this	this	DET
ejpam-3534	117	2	result	result	NOUN
ejpam-3534	117	3	is	be	AUX
ejpam-3534	117	4	ancient	ancient	ADJ
ejpam-3534	117	5	,	,	PUNCT
ejpam-3534	117	6	going	go	VERB
ejpam-3534	117	7	back	back	ADV
ejpam-3534	117	8	to	to	ADP
ejpam-3534	117	9	nicole	nicole	PROPN
ejpam-3534	117	10	oresme	oresme	NOUN
ejpam-3534	117	11	in	in	ADP
ejpam-3534	117	12	the	the	DET
ejpam-3534	117	13	14th	14th	ADJ
ejpam-3534	117	14	century	century	NOUN
ejpam-3534	117	15	!	!	PUNCT
ejpam-3534	118	1	see	see	VERB
ejpam-3534	118	2	grant	grant	NOUN
ejpam-3534	119	1	[	[	X
ejpam-3534	119	2	11	11	NUM
ejpam-3534	119	3	]	]	PUNCT
ejpam-3534	119	4	,	,	PUNCT
ejpam-3534	119	5	kar	kar	X
ejpam-3534	120	1	[	[	X
ejpam-3534	120	2	21	21	NUM
ejpam-3534	120	3	]	]	PUNCT
ejpam-3534	120	4	.	.	PUNCT
ejpam-3534	121	1	a	a	DET
ejpam-3534	121	2	short	short	ADJ
ejpam-3534	121	3	proof	proof	NOUN
ejpam-3534	121	4	based	base	VERB
ejpam-3534	121	5	on	on	ADP
ejpam-3534	121	6	the	the	DET
ejpam-3534	121	7	pigeon	pigeon	NOUN
ejpam-3534	121	8	-	-	PUNCT
ejpam-3534	121	9	hole	hole	NOUN
ejpam-3534	121	10	principle	principle	NOUN
ejpam-3534	121	11	is	be	AUX
ejpam-3534	121	12	in	in	ADP
ejpam-3534	121	13	speyer	speyer	PROPN
ejpam-3534	121	14	[	[	X
ejpam-3534	121	15	43	43	NUM
ejpam-3534	121	16	]	]	PUNCT
ejpam-3534	121	17	.	.	PUNCT
ejpam-3534	122	1	stronger	strong	ADJ
ejpam-3534	122	2	density	density	NOUN
ejpam-3534	122	3	theorems	theorem	NOUN
ejpam-3534	122	4	are	be	AUX
ejpam-3534	122	5	in	in	ADP
ejpam-3534	122	6	bohr	bohr	PROPN
ejpam-3534	123	1	[	[	X
ejpam-3534	123	2	5	5	NUM
ejpam-3534	123	3	]	]	PUNCT
ejpam-3534	123	4	,	,	PUNCT
ejpam-3534	123	5	kronecker	kronecker	NOUN
ejpam-3534	124	1	[	[	X
ejpam-3534	124	2	24	24	NUM
ejpam-3534	124	3	]	]	PUNCT
ejpam-3534	124	4	,	,	PUNCT
ejpam-3534	124	5	weyl	weyl	VERB
ejpam-3534	125	1	[	[	X
ejpam-3534	125	2	47	47	NUM
ejpam-3534	125	3	,	,	PUNCT
ejpam-3534	125	4	48	48	NUM
ejpam-3534	125	5	]	]	PUNCT
ejpam-3534	125	6	.	.	PUNCT
ejpam-3534	126	1	m.	m.	PROPN
ejpam-3534	126	2	w.	w.	PROPN
ejpam-3534	126	3	hirsch	hirsch	PROPN
ejpam-3534	126	4	/	/	SYM
ejpam-3534	126	5	eur	eur	PROPN
ejpam-3534	126	6	.	.	PUNCT
ejpam-3534	127	1	j.	j.	PROPN
ejpam-3534	127	2	pure	pure	PROPN
ejpam-3534	127	3	appl	appl	PROPN
ejpam-3534	127	4	.	.	PROPN
ejpam-3534	127	5	math	math	PROPN
ejpam-3534	127	6	,	,	PUNCT
ejpam-3534	127	7	12	12	NUM
ejpam-3534	127	8	(	(	PUNCT
ejpam-3534	127	9	4	4	NUM
ejpam-3534	127	10	)	)	PUNCT
ejpam-3534	127	11	(	(	PUNCT
ejpam-3534	127	12	2019	2019	NUM
ejpam-3534	127	13	)	)	PUNCT
ejpam-3534	127	14	,	,	PUNCT
ejpam-3534	127	15	1350	1350	NUM
ejpam-3534	127	16	-	-	SYM
ejpam-3534	127	17	1359	1359	NUM
ejpam-3534	127	18	1355	1355	NUM
ejpam-3534	127	19	(	(	PUNCT
ejpam-3534	127	20	a	a	NOUN
ejpam-3534	127	21	)	)	PUNCT
ejpam-3534	127	22	p(ψ	p(ψ	NOUN
ejpam-3534	127	23	)	)	PUNCT
ejpam-3534	127	24	∩	∩	NOUN
ejpam-3534	128	1	[	[	X
ejpam-3534	128	2	p	p	X
ejpam-3534	128	3	,	,	PUNCT
ejpam-3534	128	4	q	q	X
ejpam-3534	128	5	]	]	X
ejpam-3534	128	6	=	=	PUNCT
ejpam-3534	128	7	p(ψl	p(ψl	ADJ
ejpam-3534	128	8	)	)	PUNCT
ejpam-3534	128	9	∩	∩	NOUN
ejpam-3534	128	10	[	[	X
ejpam-3534	128	11	p	p	X
ejpam-3534	128	12	,	,	PUNCT
ejpam-3534	128	13	q	q	X
ejpam-3534	128	14	]	]	X
ejpam-3534	128	15	,	,	PUNCT
ejpam-3534	128	16	(	(	PUNCT
ejpam-3534	128	17	b	b	NOUN
ejpam-3534	128	18	)	)	PUNCT
ejpam-3534	128	19	p(ψl	p(ψl	PROPN
ejpam-3534	128	20	)	)	PUNCT
ejpam-3534	128	21	is	be	AUX
ejpam-3534	128	22	dense	dense	ADJ
ejpam-3534	128	23	in	in	ADP
ejpam-3534	128	24	[	[	X
ejpam-3534	128	25	p	p	X
ejpam-3534	128	26	,	,	PUNCT
ejpam-3534	128	27	q	q	X
ejpam-3534	128	28	]	]	X
ejpam-3534	128	29	,	,	PUNCT
ejpam-3534	128	30	(	(	PUNCT
ejpam-3534	128	31	c	c	X
ejpam-3534	128	32	)	)	PUNCT
ejpam-3534	128	33	ψl[p	ψl[p	PROPN
ejpam-3534	128	34	,	,	PUNCT
ejpam-3534	128	35	q	q	X
ejpam-3534	128	36	]	]	X
ejpam-3534	128	37	=	=	PUNCT
ejpam-3534	129	1	[	[	X
ejpam-3534	129	2	p	p	X
ejpam-3534	129	3	,	,	PUNCT
ejpam-3534	129	4	q	q	X
ejpam-3534	129	5	]	]	X
ejpam-3534	129	6	.	.	PUNCT
ejpam-3534	130	1	proof	proof	NOUN
ejpam-3534	130	2	.	.	PUNCT
ejpam-3534	131	1	let	let	VERB
ejpam-3534	131	2	per	per	X
ejpam-3534	131	3	(	(	PUNCT
ejpam-3534	131	4	p	p	NOUN
ejpam-3534	131	5	)	)	PUNCT
ejpam-3534	131	6	=	=	SYM
ejpam-3534	131	7	r	r	NOUN
ejpam-3534	131	8	>	>	NOUN
ejpam-3534	131	9	0	0	NUM
ejpam-3534	131	10	.	.	PUNCT
ejpam-3534	132	1	because	because	SCONJ
ejpam-3534	132	2	[	[	X
ejpam-3534	132	3	p	p	X
ejpam-3534	132	4	,	,	PUNCT
ejpam-3534	132	5	q	q	X
ejpam-3534	132	6	]	]	X
ejpam-3534	132	7	is	be	AUX
ejpam-3534	132	8	resonant	resonant	ADJ
ejpam-3534	132	9	(	(	PUNCT
ejpam-3534	132	10	theorem	theorem	NOUN
ejpam-3534	132	11	2	2	NUM
ejpam-3534	132	12	)	)	PUNCT
ejpam-3534	132	13	,	,	PUNCT
ejpam-3534	132	14	if	if	SCONJ
ejpam-3534	132	15	z	z	NOUN
ejpam-3534	132	16	∈	∈	PROPN
ejpam-3534	133	1	[	[	X
ejpam-3534	133	2	p	p	X
ejpam-3534	133	3	,	,	PUNCT
ejpam-3534	133	4	q	q	X
ejpam-3534	133	5	]	]	X
ejpam-3534	133	6	∩	∩	ADJ
ejpam-3534	133	7	p(ψ	p(ψ	NOUN
ejpam-3534	133	8	)	)	PUNCT
ejpam-3534	133	9	\	\	NOUN
ejpam-3534	133	10	e(ψ	e(ψ	NOUN
ejpam-3534	133	11	)	)	PUNCT
ejpam-3534	133	12	there	there	PRON
ejpam-3534	133	13	exists	exist	VERB
ejpam-3534	133	14	r	r	NOUN
ejpam-3534	133	15	∈	∈	PROPN
ejpam-3534	133	16	n+	n+	NUM
ejpam-3534	133	17	such	such	ADJ
ejpam-3534	133	18	that	that	DET
ejpam-3534	133	19	ψrz	ψrz	NOUN
ejpam-3534	133	20	=	=	SYM
ejpam-3534	133	21	z.	z.	PROPN
ejpam-3534	133	22	since	since	SCONJ
ejpam-3534	133	23	the	the	DET
ejpam-3534	133	24	periods	period	NOUN
ejpam-3534	133	25	of	of	ADP
ejpam-3534	133	26	all	all	DET
ejpam-3534	133	27	points	point	NOUN
ejpam-3534	133	28	in	in	ADP
ejpam-3534	133	29	[	[	X
ejpam-3534	133	30	p	p	X
ejpam-3534	133	31	,	,	PUNCT
ejpam-3534	133	32	q	q	X
ejpam-3534	133	33	]	]	X
ejpam-3534	133	34	∩	∩	ADJ
ejpam-3534	133	35	p(ψ	p(ψ	NOUN
ejpam-3534	133	36	)	)	PUNCT
ejpam-3534	133	37	\	\	NOUN
ejpam-3534	134	1	e(ψ	e(ψ	NOUN
ejpam-3534	134	2	)	)	PUNCT
ejpam-3534	134	3	are	be	AUX
ejpam-3534	134	4	rational	rational	ADJ
ejpam-3534	134	5	multiples	multiple	NOUN
ejpam-3534	134	6	of	of	ADP
ejpam-3534	134	7	r	r	NOUN
ejpam-3534	134	8	,	,	PUNCT
ejpam-3534	134	9	there	there	PRON
ejpam-3534	134	10	exist	exist	VERB
ejpam-3534	134	11	m	m	PRON
ejpam-3534	134	12	,	,	PUNCT
ejpam-3534	134	13	n	n	PRON
ejpam-3534	134	14	∈	∈	NOUN
ejpam-3534	134	15	n+	n+	NUM
ejpam-3534	134	16	such	such	ADJ
ejpam-3534	134	17	that	that	SCONJ
ejpam-3534	134	18	:	:	PUNCT
ejpam-3534	134	19	(	(	PUNCT
ejpam-3534	134	20	ψr)m	ψr)m	NUM
ejpam-3534	134	21	p	p	NOUN
ejpam-3534	134	22	=	=	SYM
ejpam-3534	134	23	p	p	NOUN
ejpam-3534	134	24	,	,	PUNCT
ejpam-3534	134	25	(	(	PUNCT
ejpam-3534	134	26	ψr)nq	ψr)nq	X
ejpam-3534	134	27	=	=	SYM
ejpam-3534	134	28	q	q	X
ejpam-3534	134	29	,	,	PUNCT
ejpam-3534	134	30	and	and	CCONJ
ejpam-3534	134	31	p(ψ	p(ψ	NOUN
ejpam-3534	134	32	)	)	PUNCT
ejpam-3534	134	33	∩	∩	NOUN
ejpam-3534	135	1	[	[	X
ejpam-3534	135	2	p	p	X
ejpam-3534	135	3	,	,	PUNCT
ejpam-3534	135	4	q	q	X
ejpam-3534	135	5	]	]	X
ejpam-3534	135	6	=	=	SYM
ejpam-3534	135	7	p(ψr	p(ψr	PROPN
ejpam-3534	135	8	)	)	PUNCT
ejpam-3534	135	9	∩	∩	NOUN
ejpam-3534	135	10	[	[	X
ejpam-3534	135	11	p	p	X
ejpam-3534	135	12	,	,	PUNCT
ejpam-3534	135	13	q	q	X
ejpam-3534	135	14	]	]	X
ejpam-3534	135	15	,	,	PUNCT
ejpam-3534	135	16	validating	validate	VERB
ejpam-3534	135	17	(	(	PUNCT
ejpam-3534	135	18	a	a	NOUN
ejpam-3534	135	19	)	)	PUNCT
ejpam-3534	135	20	and	and	CCONJ
ejpam-3534	135	21	(	(	PUNCT
ejpam-3534	135	22	b	b	NOUN
ejpam-3534	135	23	)	)	PUNCT
ejpam-3534	135	24	for	for	ADP
ejpam-3534	135	25	l	l	NOUN
ejpam-3534	135	26	:	:	PUNCT
ejpam-3534	135	27	=	=	SYM
ejpam-3534	135	28	mnr	mnr	PROPN
ejpam-3534	135	29	.	.	PUNCT
ejpam-3534	136	1	monotonicity	monotonicity	PROPN
ejpam-3534	136	2	implies	imply	VERB
ejpam-3534	136	3	ψl[p	ψl[p	PROPN
ejpam-3534	136	4	,	,	PUNCT
ejpam-3534	136	5	q	q	X
ejpam-3534	136	6	]	]	X
ejpam-3534	136	7	⊂	⊂	X
ejpam-3534	137	1	[	[	X
ejpam-3534	137	2	p	p	X
ejpam-3534	137	3	,	,	PUNCT
ejpam-3534	137	4	q	q	X
ejpam-3534	137	5	]	]	X
ejpam-3534	137	6	,	,	PUNCT
ejpam-3534	137	7	so	so	CCONJ
ejpam-3534	137	8	(	(	PUNCT
ejpam-3534	137	9	c	c	X
ejpam-3534	137	10	)	)	PUNCT
ejpam-3534	137	11	follows	follow	VERB
ejpam-3534	137	12	from	from	ADP
ejpam-3534	137	13	(	(	PUNCT
ejpam-3534	137	14	b	b	NOUN
ejpam-3534	137	15	)	)	PUNCT
ejpam-3534	137	16	and	and	CCONJ
ejpam-3534	137	17	continuity	continuity	NOUN
ejpam-3534	137	18	of	of	ADP
ejpam-3534	137	19	ψl	ψl	NOUN
ejpam-3534	137	20	.	.	PROPN
ejpam-3534	137	21	2.1	2.1	NUM
ejpam-3534	137	22	.	.	PUNCT
ejpam-3534	138	1	proof	proof	NOUN
ejpam-3534	138	2	of	of	ADP
ejpam-3534	138	3	theorem	theorem	ADJ
ejpam-3534	138	4	1	1	NUM
ejpam-3534	138	5	recall	recall	VERB
ejpam-3534	138	6	the	the	DET
ejpam-3534	138	7	hypotheses	hypothesis	NOUN
ejpam-3534	138	8	,	,	PUNCT
ejpam-3534	138	9	assumed	assume	VERB
ejpam-3534	138	10	henceforth	henceforth	ADV
ejpam-3534	138	11	:	:	PUNCT
ejpam-3534	138	12	(	(	PUNCT
ejpam-3534	138	13	h1	h1	PROPN
ejpam-3534	138	14	)	)	PUNCT
ejpam-3534	138	15	x	x	PRON
ejpam-3534	138	16	is	be	AUX
ejpam-3534	138	17	a	a	DET
ejpam-3534	138	18	connected	connected	ADJ
ejpam-3534	138	19	open	open	ADJ
ejpam-3534	138	20	set	set	NOUN
ejpam-3534	138	21	in	in	ADP
ejpam-3534	138	22	d	d	ADJ
ejpam-3534	138	23	-	-	ADJ
ejpam-3534	138	24	dimensional	dimensional	ADJ
ejpam-3534	138	25	euclidean	euclidean	ADJ
ejpam-3534	138	26	space	space	NOUN
ejpam-3534	138	27	rd	rd	PROPN
ejpam-3534	138	28	.	.	PUNCT
ejpam-3534	139	1	(	(	PUNCT
ejpam-3534	139	2	h2	h2	PROPN
ejpam-3534	139	3	)	)	PUNCT
ejpam-3534	140	1	k	k	PROPN
ejpam-3534	140	2	⊂	⊂	PROPN
ejpam-3534	140	3	rd	rd	PROPN
ejpam-3534	140	4	is	be	AUX
ejpam-3534	140	5	a	a	DET
ejpam-3534	140	6	closed	closed	ADJ
ejpam-3534	140	7	convex	convex	ADJ
ejpam-3534	140	8	cone	cone	NOUN
ejpam-3534	140	9	that	that	PRON
ejpam-3534	140	10	has	have	AUX
ejpam-3534	140	11	nonempty	nonempty	VERB
ejpam-3534	140	12	interior	interior	ADJ
ejpam-3534	140	13	and	and	CCONJ
ejpam-3534	140	14	contains	contain	VERB
ejpam-3534	140	15	no	no	DET
ejpam-3534	140	16	straight	straight	ADJ
ejpam-3534	140	17	line	line	NOUN
ejpam-3534	140	18	.	.	PUNCT
ejpam-3534	141	1	(	(	PUNCT
ejpam-3534	141	2	h3	h3	NOUN
ejpam-3534	141	3	)	)	PUNCT
ejpam-3534	141	4	the	the	DET
ejpam-3534	141	5	partial	partial	ADJ
ejpam-3534	141	6	order	order	NOUN
ejpam-3534	141	7	relation	relation	NOUN
ejpam-3534	141	8	on	on	ADP
ejpam-3534	141	9	x	x	SYM
ejpam-3534	141	10	is	be	AUX
ejpam-3534	141	11	determined	determine	VERB
ejpam-3534	141	12	by	by	ADP
ejpam-3534	141	13	k	k	NOUN
ejpam-3534	141	14	:	:	PUNCT
ejpam-3534	141	15	x	x	PART
ejpam-3534	141	16	�	�	PROPN
ejpam-3534	141	17	y	y	PROPN
ejpam-3534	141	18	⇐	⇐	PROPN
ejpam-3534	141	19	⇒	⇒	NOUN
ejpam-3534	141	20	x	x	PUNCT
ejpam-3534	142	1	−	−	PROPN
ejpam-3534	142	2	y	y	PROPN
ejpam-3534	142	3	∈	∈	PROPN
ejpam-3534	142	4	k.	k.	PROPN
ejpam-3534	142	5	(	(	PUNCT
ejpam-3534	142	6	h4	h4	PROPN
ejpam-3534	142	7	)	)	PUNCT
ejpam-3534	142	8	ϕ	ϕ	NOUN
ejpam-3534	142	9	is	be	AUX
ejpam-3534	142	10	a	a	DET
ejpam-3534	142	11	monotone	monotone	ADJ
ejpam-3534	142	12	flow	flow	NOUN
ejpam-3534	142	13	on	on	ADP
ejpam-3534	142	14	x.	x.	PROPN
ejpam-3534	142	15	(	(	PUNCT
ejpam-3534	142	16	h5	h5	PROPN
ejpam-3534	142	17	)	)	PUNCT
ejpam-3534	142	18	ϕ	ϕ	NOUN
ejpam-3534	142	19	is	be	AUX
ejpam-3534	142	20	densely	densely	ADV
ejpam-3534	142	21	periodic	periodic	ADJ
ejpam-3534	142	22	.	.	PUNCT
ejpam-3534	143	1	the	the	DET
ejpam-3534	143	2	conclusion	conclusion	NOUN
ejpam-3534	143	3	is	be	AUX
ejpam-3534	143	4	:	:	PUNCT
ejpam-3534	143	5	ϕ	ϕ	NOUN
ejpam-3534	143	6	is	be	AUX
ejpam-3534	143	7	globally	globally	ADV
ejpam-3534	143	8	periodic	periodic	ADJ
ejpam-3534	143	9	.	.	PUNCT
ejpam-3534	144	1	definition	definition	NOUN
ejpam-3534	144	2	.	.	PUNCT
ejpam-3534	145	1	a	a	DET
ejpam-3534	145	2	homeomorphism	homeomorphism	PROPN
ejpam-3534	145	3	t	t	NOUN
ejpam-3534	145	4	:	:	PUNCT
ejpam-3534	145	5	x	x	X
ejpam-3534	146	1	≈	≈	NOUN
ejpam-3534	146	2	x	x	PUNCT
ejpam-3534	146	3	is	be	AUX
ejpam-3534	146	4	:	:	PUNCT
ejpam-3534	146	5	•	•	NUM
ejpam-3534	146	6	densely	densely	ADV
ejpam-3534	146	7	periodic	periodic	ADJ
ejpam-3534	146	8	if	if	SCONJ
ejpam-3534	146	9	p(t	p(t	NOUN
ejpam-3534	146	10	)	)	PUNCT
ejpam-3534	146	11	is	be	AUX
ejpam-3534	146	12	dense	dense	ADJ
ejpam-3534	146	13	in	in	ADP
ejpam-3534	146	14	x	x	X
ejpam-3534	146	15	,	,	PUNCT
ejpam-3534	146	16	•	•	PRON
ejpam-3534	146	17	pointwise	pointwise	VERB
ejpam-3534	146	18	periodic	periodic	NOUN
ejpam-3534	146	19	if	if	SCONJ
ejpam-3534	146	20	p(t	p(t	NOUN
ejpam-3534	146	21	)	)	PUNCT
ejpam-3534	147	1	=	=	PUNCT
ejpam-3534	147	2	x	x	X
ejpam-3534	147	3	,	,	PUNCT
ejpam-3534	147	4	•	•	ADP
ejpam-3534	147	5	globally	globally	ADV
ejpam-3534	147	6	periodic	periodic	ADJ
ejpam-3534	147	7	if	if	SCONJ
ejpam-3534	147	8	t	t	PROPN
ejpam-3534	147	9	k	k	PROPN
ejpam-3534	147	10	is	be	AUX
ejpam-3534	147	11	the	the	DET
ejpam-3534	147	12	identity	identity	NOUN
ejpam-3534	147	13	map	map	NOUN
ejpam-3534	147	14	of	of	ADP
ejpam-3534	147	15	x	x	PUNCT
ejpam-3534	147	16	for	for	ADP
ejpam-3534	147	17	some	some	DET
ejpam-3534	147	18	k	k	PROPN
ejpam-3534	147	19	∈	∈	PROPN
ejpam-3534	147	20	n+	n+	PROPN
ejpam-3534	147	21	.	.	PUNCT
ejpam-3534	148	1	a	a	DET
ejpam-3534	148	2	crucial	crucial	ADJ
ejpam-3534	148	3	ingredient	ingredient	NOUN
ejpam-3534	148	4	in	in	ADP
ejpam-3534	148	5	the	the	DET
ejpam-3534	148	6	proof	proof	NOUN
ejpam-3534	148	7	of	of	ADP
ejpam-3534	148	8	theorem	theorem	ADJ
ejpam-3534	148	9	1	1	NUM
ejpam-3534	148	10	is	be	AUX
ejpam-3534	148	11	the	the	DET
ejpam-3534	148	12	recently	recently	ADV
ejpam-3534	148	13	proved	prove	VERB
ejpam-3534	148	14	analog	analog	NOUN
ejpam-3534	148	15	for	for	ADP
ejpam-3534	148	16	monotone	monotone	ADJ
ejpam-3534	148	17	homeomorphisms	homeomorphism	NOUN
ejpam-3534	148	18	:	:	PUNCT
ejpam-3534	148	19	theorem	theorem	ADJ
ejpam-3534	148	20	3	3	NUM
ejpam-3534	148	21	(	(	PUNCT
ejpam-3534	148	22	b.	b.	PROPN
ejpam-3534	148	23	lemmens	lemmens	PROPN
ejpam-3534	148	24	et	et	PROPN
ejpam-3534	148	25	al	al	PROPN
ejpam-3534	148	26	.	.	PUNCT
ejpam-3534	149	1	[	[	X
ejpam-3534	149	2	27	27	NUM
ejpam-3534	149	3	]	]	PUNCT
ejpam-3534	149	4	)	)	PUNCT
ejpam-3534	149	5	.	.	PUNCT
ejpam-3534	150	1	assume	assume	VERB
ejpam-3534	150	2	(	(	PUNCT
ejpam-3534	150	3	h1	h1	PROPN
ejpam-3534	150	4	)	)	PUNCT
ejpam-3534	150	5	,	,	PUNCT
ejpam-3534	150	6	(	(	PUNCT
ejpam-3534	150	7	h2	h2	NOUN
ejpam-3534	150	8	)	)	PUNCT
ejpam-3534	150	9	,	,	PUNCT
ejpam-3534	150	10	(	(	PUNCT
ejpam-3534	150	11	h3	h3	NOUN
ejpam-3534	150	12	)	)	PUNCT
ejpam-3534	150	13	.	.	PUNCT
ejpam-3534	151	1	then	then	ADV
ejpam-3534	151	2	a	a	DET
ejpam-3534	151	3	monotone	monotone	ADJ
ejpam-3534	151	4	homeomorphism	homeomorphism	NOUN
ejpam-3534	151	5	t	t	NOUN
ejpam-3534	151	6	:	:	PUNCT
ejpam-3534	151	7	x	x	X
ejpam-3534	151	8	≈	≈	NOUN
ejpam-3534	151	9	x	x	PUNCT
ejpam-3534	151	10	is	be	AUX
ejpam-3534	151	11	globally	globally	ADV
ejpam-3534	151	12	periodic	periodic	ADJ
ejpam-3534	151	13	provided	provide	VERB
ejpam-3534	151	14	it	it	PRON
ejpam-3534	151	15	is	be	AUX
ejpam-3534	151	16	densely	densely	ADV
ejpam-3534	151	17	periodic.†	periodic.†	PROPN
ejpam-3534	151	18	†conjectured	†conjecture	VERB
ejpam-3534	151	19	in	in	ADP
ejpam-3534	151	20	m.	m.	NOUN
ejpam-3534	151	21	hirsch	hirsch	PROPN
ejpam-3534	152	1	[	[	X
ejpam-3534	152	2	18	18	NUM
ejpam-3534	152	3	]	]	PUNCT
ejpam-3534	152	4	,	,	PUNCT
ejpam-3534	152	5	and	and	CCONJ
ejpam-3534	152	6	proved	prove	VERB
ejpam-3534	152	7	for	for	ADP
ejpam-3534	152	8	polyhedral	polyhedral	ADJ
ejpam-3534	152	9	cones	cone	NOUN
ejpam-3534	152	10	k.	k.	PROPN
ejpam-3534	152	11	references	reference	NOUN
ejpam-3534	152	12	1356	1356	NUM
ejpam-3534	152	13	we	we	PRON
ejpam-3534	152	14	will	will	AUX
ejpam-3534	152	15	also	also	ADV
ejpam-3534	152	16	use	use	VERB
ejpam-3534	152	17	an	an	DET
ejpam-3534	152	18	elegant	elegant	ADJ
ejpam-3534	152	19	result	result	NOUN
ejpam-3534	152	20	from	from	ADP
ejpam-3534	152	21	the	the	DET
ejpam-3534	152	22	early	early	ADJ
ejpam-3534	152	23	days	day	NOUN
ejpam-3534	152	24	of	of	ADP
ejpam-3534	152	25	transformation	transformation	NOUN
ejpam-3534	152	26	groups	group	NOUN
ejpam-3534	152	27	:	:	PUNCT
ejpam-3534	152	28	theorem	theorem	VERB
ejpam-3534	152	29	4	4	NUM
ejpam-3534	152	30	(	(	PUNCT
ejpam-3534	152	31	d.	d.	PROPN
ejpam-3534	152	32	montgomery	montgomery	PROPN
ejpam-3534	153	1	[	[	X
ejpam-3534	153	2	31	31	NUM
ejpam-3534	153	3	,	,	PUNCT
ejpam-3534	153	4	32	32	NUM
ejpam-3534	153	5	]	]	PUNCT
ejpam-3534	153	6	)	)	PUNCT
ejpam-3534	153	7	.	.	PUNCT
ejpam-3534	154	1	a	a	DET
ejpam-3534	154	2	homeomorphism	homeomorphism	NOUN
ejpam-3534	154	3	of	of	ADP
ejpam-3534	154	4	a	a	DET
ejpam-3534	154	5	connected	connected	ADJ
ejpam-3534	154	6	topological	topological	ADJ
ejpam-3534	154	7	manifold	manifold	NOUN
ejpam-3534	154	8	is	be	AUX
ejpam-3534	154	9	globally	globally	ADV
ejpam-3534	154	10	periodic	periodic	ADJ
ejpam-3534	154	11	provided	provide	VERB
ejpam-3534	154	12	it	it	PRON
ejpam-3534	154	13	is	be	AUX
ejpam-3534	154	14	pointwise	pointwise	PROPN
ejpam-3534	154	15	periodic.‡	periodic.‡	ADJ
ejpam-3534	154	16	proposition	proposition	NOUN
ejpam-3534	154	17	2	2	NUM
ejpam-3534	154	18	.	.	PUNCT
ejpam-3534	155	1	let	let	VERB
ejpam-3534	155	2	x	x	PUNCT
ejpam-3534	155	3	∈	∈	NOUN
ejpam-3534	155	4	x	x	SYM
ejpam-3534	155	5	\	\	X
ejpam-3534	156	1	e	e	PRON
ejpam-3534	156	2	be	be	VERB
ejpam-3534	156	3	arbitrary	arbitrary	ADJ
ejpam-3534	156	4	.	.	PUNCT
ejpam-3534	157	1	there	there	PRON
ejpam-3534	157	2	is	be	VERB
ejpam-3534	157	3	an	an	DET
ejpam-3534	157	4	open	open	ADJ
ejpam-3534	157	5	neighborhood	neighborhood	NOUN
ejpam-3534	157	6	wx	wx	PROPN
ejpam-3534	157	7	⊂	⊂	NOUN
ejpam-3534	157	8	x	x	PUNCT
ejpam-3534	157	9	\	\	PROPN
ejpam-3534	157	10	e	e	X
ejpam-3534	157	11	of	of	ADP
ejpam-3534	157	12	x	x	PROPN
ejpam-3534	157	13	,	,	PUNCT
ejpam-3534	157	14	and	and	CCONJ
ejpam-3534	157	15	a	a	DET
ejpam-3534	157	16	real	real	ADJ
ejpam-3534	157	17	number	number	NOUN
ejpam-3534	157	18	l	l	NOUN
ejpam-3534	157	19	:	:	PUNCT
ejpam-3534	157	20	=	=	X
ejpam-3534	157	21	lx	lx	X
ejpam-3534	157	22	>	>	X
ejpam-3534	157	23	0	0	PROPN
ejpam-3534	157	24	,	,	PUNCT
ejpam-3534	157	25	such	such	ADJ
ejpam-3534	157	26	that	that	PRON
ejpam-3534	157	27	:	:	PUNCT
ejpam-3534	157	28	ϕl|wx	ϕl|wx	ADJ
ejpam-3534	157	29	is	be	AUX
ejpam-3534	157	30	a	a	DET
ejpam-3534	157	31	globally	globally	ADV
ejpam-3534	157	32	periodic	periodic	ADJ
ejpam-3534	157	33	homeomorphism	homeomorphism	NOUN
ejpam-3534	157	34	of	of	ADP
ejpam-3534	157	35	wx	wx	PROPN
ejpam-3534	157	36	.	.	PUNCT
ejpam-3534	157	37	proof	proof	NOUN
ejpam-3534	157	38	.	.	PUNCT
ejpam-3534	158	1	every	every	DET
ejpam-3534	158	2	x	x	SYM
ejpam-3534	158	3	∈	∈	PROPN
ejpam-3534	158	4	x	x	SYM
ejpam-3534	158	5	\	\	X
ejpam-3534	158	6	e	e	NOUN
ejpam-3534	158	7	has	have	VERB
ejpam-3534	158	8	an	an	DET
ejpam-3534	158	9	open	open	ADJ
ejpam-3534	158	10	neighborhood	neighborhood	NOUN
ejpam-3534	158	11	vx	vx	X
ejpam-3534	158	12	⊂	⊂	NOUN
ejpam-3534	158	13	x	x	X
ejpam-3534	158	14	\	\	PROPN
ejpam-3534	159	1	e	e	NOUN
ejpam-3534	159	2	that	that	PRON
ejpam-3534	159	3	contains	contain	VERB
ejpam-3534	159	4	no	no	DET
ejpam-3534	159	5	orbit	orbit	NOUN
ejpam-3534	159	6	.	.	PUNCT
ejpam-3534	160	1	if	if	SCONJ
ejpam-3534	160	2	not	not	PART
ejpam-3534	160	3	,	,	PUNCT
ejpam-3534	160	4	there	there	PRON
ejpam-3534	160	5	is	be	VERB
ejpam-3534	160	6	a	a	DET
ejpam-3534	160	7	sequence	sequence	NOUN
ejpam-3534	160	8	{	{	PUNCT
ejpam-3534	160	9	xk	xk	NOUN
ejpam-3534	160	10	}	}	PUNCT
ejpam-3534	160	11	in	in	ADP
ejpam-3534	160	12	converging	converge	VERB
ejpam-3534	160	13	in	in	ADP
ejpam-3534	160	14	x	x	PUNCT
ejpam-3534	160	15	to	to	ADP
ejpam-3534	160	16	x	x	PRON
ejpam-3534	160	17	such	such	ADJ
ejpam-3534	160	18	that	that	SCONJ
ejpam-3534	160	19	t	t	PROPN
ejpam-3534	160	20	∈	∈	NOUN
ejpam-3534	160	21	r	r	NOUN
ejpam-3534	160	22	=	=	NOUN
ejpam-3534	160	23	⇒	⇒	NOUN
ejpam-3534	160	24	lim	lim	PROPN
ejpam-3534	160	25	k→∞	k→∞	PROPN
ejpam-3534	161	1	‖ϕt	‖ϕt	NUM
ejpam-3534	161	2	xk	xk	PROPN
ejpam-3534	161	3	−	−	NOUN
ejpam-3534	161	4	xk‖	xk‖	PROPN
ejpam-3534	161	5	=	=	SYM
ejpam-3534	161	6	0	0	PROPN
ejpam-3534	161	7	,	,	PUNCT
ejpam-3534	161	8	whence	whence	NOUN
ejpam-3534	161	9	t	t	PROPN
ejpam-3534	161	10	∈	∈	PROPN
ejpam-3534	161	11	r	r	NOUN
ejpam-3534	161	12	=	=	NOUN
ejpam-3534	161	13	⇒	⇒	VERB
ejpam-3534	161	14	ϕt	ϕt	ADV
ejpam-3534	161	15	x	x	PUNCT
ejpam-3534	162	1	=	=	PUNCT
ejpam-3534	162	2	x.	x.	NOUN
ejpam-3534	163	1	but	but	CCONJ
ejpam-3534	163	2	this	this	PRON
ejpam-3534	163	3	gives	give	VERB
ejpam-3534	163	4	the	the	DET
ejpam-3534	163	5	contradiction	contradiction	NOUN
ejpam-3534	163	6	x	x	PUNCT
ejpam-3534	163	7	∈	∈	PROPN
ejpam-3534	163	8	e.	e.	PROPN
ejpam-3534	163	9	as	as	ADP
ejpam-3534	163	10	p(ϕ	p(ϕ	PROPN
ejpam-3534	163	11	)	)	PUNCT
ejpam-3534	163	12	is	be	AUX
ejpam-3534	163	13	dense	dense	ADJ
ejpam-3534	163	14	,	,	PUNCT
ejpam-3534	163	15	there	there	PRON
ejpam-3534	163	16	exist	exist	VERB
ejpam-3534	163	17	periodic	periodic	ADJ
ejpam-3534	163	18	points	point	NOUN
ejpam-3534	163	19	px	px	PROPN
ejpam-3534	163	20	,	,	PUNCT
ejpam-3534	163	21	qx	qx	PROPN
ejpam-3534	163	22	such	such	ADJ
ejpam-3534	163	23	that	that	PRON
ejpam-3534	163	24	:	:	PUNCT
ejpam-3534	163	25	px	px	PROPN
ejpam-3534	163	26	�	�	PROPN
ejpam-3534	163	27	x	x	SYM
ejpam-3534	163	28	�	�	PROPN
ejpam-3534	163	29	qx	qx	PROPN
ejpam-3534	163	30	,	,	PUNCT
ejpam-3534	163	31	[	[	X
ejpam-3534	163	32	px	px	X
ejpam-3534	163	33	,	,	PUNCT
ejpam-3534	163	34	qx	qx	PROPN
ejpam-3534	163	35	]	]	X
ejpam-3534	163	36	⊂	⊂	PROPN
ejpam-3534	163	37	vx	vx	PROPN
ejpam-3534	163	38	,	,	PUNCT
ejpam-3534	163	39	o(px	o(px	NOUN
ejpam-3534	163	40	)	)	PUNCT
ejpam-3534	163	41	⊀	⊀	PROPN
ejpam-3534	163	42	o(qx	o(qx	PROPN
ejpam-3534	163	43	)	)	PUNCT
ejpam-3534	163	44	.	.	PUNCT
ejpam-3534	164	1	define	define	VERB
ejpam-3534	164	2	wx	wx	PROPN
ejpam-3534	164	3	to	to	PART
ejpam-3534	164	4	be	be	AUX
ejpam-3534	164	5	the	the	DET
ejpam-3534	164	6	open	open	ADJ
ejpam-3534	164	7	order	order	NOUN
ejpam-3534	164	8	interval	interval	NOUN
ejpam-3534	164	9	[	[	X
ejpam-3534	164	10	[	[	X
ejpam-3534	164	11	px	px	X
ejpam-3534	164	12	,	,	PUNCT
ejpam-3534	164	13	qx	qx	PROPN
ejpam-3534	164	14	]	]	X
ejpam-3534	164	15	]	]	PUNCT
ejpam-3534	164	16	.	.	PUNCT
ejpam-3534	165	1	by	by	ADP
ejpam-3534	165	2	proposition	proposition	NOUN
ejpam-3534	165	3	1	1	NUM
ejpam-3534	165	4	there	there	ADV
ejpam-3534	165	5	exists	exist	VERB
ejpam-3534	165	6	l	l	NOUN
ejpam-3534	165	7	>	>	X
ejpam-3534	165	8	0	0	NUM
ejpam-3534	166	1	such	such	ADJ
ejpam-3534	166	2	that	that	SCONJ
ejpam-3534	166	3	ϕl|wx	ϕl|wx	PROPN
ejpam-3534	166	4	is	be	AUX
ejpam-3534	166	5	densely	densely	ADV
ejpam-3534	166	6	periodic	periodic	ADJ
ejpam-3534	166	7	.	.	PUNCT
ejpam-3534	167	1	therefore	therefore	ADV
ejpam-3534	167	2	theorem	theorem	VERB
ejpam-3534	167	3	3	3	NUM
ejpam-3534	167	4	implies	imply	VERB
ejpam-3534	167	5	ϕl|wx	ϕl|wx	PROPN
ejpam-3534	167	6	is	be	AUX
ejpam-3534	167	7	globally	globally	ADV
ejpam-3534	167	8	periodic	periodic	ADJ
ejpam-3534	167	9	.	.	PUNCT
ejpam-3534	168	1	to	to	PART
ejpam-3534	168	2	finish	finish	VERB
ejpam-3534	168	3	the	the	DET
ejpam-3534	168	4	proof	proof	NOUN
ejpam-3534	168	5	of	of	ADP
ejpam-3534	168	6	theorem	theorem	ADJ
ejpam-3534	168	7	1	1	NUM
ejpam-3534	168	8	,	,	PUNCT
ejpam-3534	168	9	observe	observe	VERB
ejpam-3534	168	10	that	that	SCONJ
ejpam-3534	168	11	ϕ	ϕ	NOUN
ejpam-3534	168	12	is	be	AUX
ejpam-3534	168	13	pointwise	pointwise	NOUN
ejpam-3534	168	14	periodic	periodic	NOUN
ejpam-3534	168	15	by	by	ADP
ejpam-3534	168	16	proposition	proposition	NOUN
ejpam-3534	168	17	2	2	NUM
ejpam-3534	168	18	.	.	PUNCT
ejpam-3534	168	19	therefore	therefore	ADV
ejpam-3534	168	20	theorem	theorem	VERB
ejpam-3534	168	21	4	4	NUM
ejpam-3534	168	22	implies	imply	VERB
ejpam-3534	168	23	ϕ	ϕ	NOUN
ejpam-3534	168	24	is	be	AUX
ejpam-3534	168	25	globally	globally	ADV
ejpam-3534	168	26	periodic	periodic	ADJ
ejpam-3534	168	27	.	.	PUNCT
ejpam-3534	169	1	references	reference	NOUN
ejpam-3534	169	2	[	[	X
ejpam-3534	169	3	1	1	X
ejpam-3534	169	4	]	]	PUNCT
ejpam-3534	169	5	d.	d.	PROPN
ejpam-3534	169	6	angeli	angeli	PROPN
ejpam-3534	169	7	,	,	PUNCT
ejpam-3534	169	8	m.	m.	PROPN
ejpam-3534	169	9	hirsch	hirsch	PROPN
ejpam-3534	169	10	&	&	CCONJ
ejpam-3534	169	11	e.	e.	PROPN
ejpam-3534	169	12	sontag	sontag	PROPN
ejpam-3534	169	13	,	,	PUNCT
ejpam-3534	169	14	attractors	attractor	NOUN
ejpam-3534	169	15	in	in	ADP
ejpam-3534	169	16	coherent	coherent	ADJ
ejpam-3534	169	17	systems	system	NOUN
ejpam-3534	169	18	of	of	ADP
ejpam-3534	169	19	differential	differential	ADJ
ejpam-3534	169	20	equations	equation	NOUN
ejpam-3534	169	21	,	,	PUNCT
ejpam-3534	169	22	differential	differential	ADJ
ejpam-3534	169	23	equations	equation	NOUN
ejpam-3534	169	24	246	246	NUM
ejpam-3534	169	25	(	(	PUNCT
ejpam-3534	169	26	2009	2009	NUM
ejpam-3534	169	27	)	)	PUNCT
ejpam-3534	169	28	,	,	PUNCT
ejpam-3534	169	29	3058–3076	3058–3076	NUM
ejpam-3534	169	30	.	.	PUNCT
ejpam-3534	170	1	[	[	X
ejpam-3534	170	2	2	2	NUM
ejpam-3534	170	3	]	]	PUNCT
ejpam-3534	170	4	r.	r.	NOUN
ejpam-3534	170	5	anguelov	anguelov	PROPN
ejpam-3534	170	6	,	,	PUNCT
ejpam-3534	170	7	y.	y.	PROPN
ejpam-3534	170	8	dumont	dumont	PROPN
ejpam-3534	170	9	&	&	CCONJ
ejpam-3534	170	10	j.	j.	PROPN
ejpam-3534	170	11	lubuma	lubuma	PROPN
ejpam-3534	170	12	,	,	PUNCT
ejpam-3534	170	13	mathematical	mathematical	ADJ
ejpam-3534	170	14	modeling	modeling	NOUN
ejpam-3534	170	15	of	of	ADP
ejpam-3534	170	16	sterile	sterile	ADJ
ejpam-3534	170	17	insect	insect	NOUN
ejpam-3534	170	18	technology	technology	NOUN
ejpam-3534	170	19	for	for	ADP
ejpam-3534	170	20	control	control	NOUN
ejpam-3534	170	21	of	of	ADP
ejpam-3534	170	22	anopheles	anophele	NOUN
ejpam-3534	170	23	mosquito	mosquito	NOUN
ejpam-3534	170	24	,	,	PUNCT
ejpam-3534	170	25	computers	computer	NOUN
ejpam-3534	170	26	&	&	CCONJ
ejpam-3534	170	27	mathematics	mathematic	NOUN
ejpam-3534	170	28	with	with	ADP
ejpam-3534	170	29	applications	application	NOUN
ejpam-3534	170	30	64	64	NUM
ejpam-3534	170	31	(	(	PUNCT
ejpam-3534	170	32	2012	2012	NUM
ejpam-3534	170	33	)	)	PUNCT
ejpam-3534	170	34	,	,	PUNCT
ejpam-3534	170	35	374–389	374–389	NUM
ejpam-3534	170	36	.	.	PUNCT
ejpam-3534	171	1	[	[	X
ejpam-3534	171	2	3	3	NUM
ejpam-3534	171	3	]	]	X
ejpam-3534	171	4	m.	m.	NOUN
ejpam-3534	171	5	benaı̈m	benaı̈m	PROPN
ejpam-3534	171	6	&	&	CCONJ
ejpam-3534	171	7	m.	m.	PROPN
ejpam-3534	171	8	hirsch	hirsch	PROPN
ejpam-3534	171	9	,	,	PUNCT
ejpam-3534	171	10	stochastic	stochastic	ADJ
ejpam-3534	171	11	approximation	approximation	NOUN
ejpam-3534	171	12	algorithms	algorithm	NOUN
ejpam-3534	171	13	with	with	ADP
ejpam-3534	171	14	constant	constant	ADJ
ejpam-3534	171	15	step	step	NOUN
ejpam-3534	171	16	size	size	NOUN
ejpam-3534	171	17	whose	whose	DET
ejpam-3534	171	18	average	average	NOUN
ejpam-3534	171	19	is	be	AUX
ejpam-3534	171	20	cooperative	cooperative	ADJ
ejpam-3534	171	21	,	,	PUNCT
ejpam-3534	171	22	annals	annal	NOUN
ejpam-3534	171	23	applied	apply	VERB
ejpam-3534	171	24	probability	probability	NOUN
ejpam-3534	171	25	9	9	NUM
ejpam-3534	171	26	(	(	PUNCT
ejpam-3534	171	27	1999	1999	NUM
ejpam-3534	171	28	)	)	PUNCT
ejpam-3534	171	29	,	,	PUNCT
ejpam-3534	171	30	216–241	216–241	NUM
ejpam-3534	171	31	.	.	PUNCT
ejpam-3534	172	1	[	[	X
ejpam-3534	172	2	4	4	X
ejpam-3534	172	3	]	]	PUNCT
ejpam-3534	172	4	m.	m.	NOUN
ejpam-3534	172	5	benaı̈m	benaı̈m	PROPN
ejpam-3534	172	6	&	&	CCONJ
ejpam-3534	172	7	m.	m.	PROPN
ejpam-3534	172	8	hirsch	hirsch	PROPN
ejpam-3534	172	9	,	,	PUNCT
ejpam-3534	172	10	mixed	mixed	ADJ
ejpam-3534	172	11	equilibria	equilibrium	NOUN
ejpam-3534	172	12	and	and	CCONJ
ejpam-3534	172	13	dynamical	dynamical	ADJ
ejpam-3534	172	14	systems	system	NOUN
ejpam-3534	172	15	arising	arise	VERB
ejpam-3534	172	16	from	from	ADP
ejpam-3534	172	17	fictitious	fictitious	ADJ
ejpam-3534	172	18	play	play	NOUN
ejpam-3534	172	19	in	in	ADP
ejpam-3534	172	20	repeated	repeat	VERB
ejpam-3534	172	21	games	game	NOUN
ejpam-3534	172	22	,	,	PUNCT
ejpam-3534	172	23	games	game	NOUN
ejpam-3534	172	24	&	&	CCONJ
ejpam-3534	172	25	economic	economic	ADJ
ejpam-3534	172	26	behavior	behavior	NOUN
ejpam-3534	172	27	29	29	NUM
ejpam-3534	172	28	(	(	PUNCT
ejpam-3534	172	29	1999	1999	NUM
ejpam-3534	172	30	)	)	PUNCT
ejpam-3534	172	31	,	,	PUNCT
ejpam-3534	172	32	36–72	36–72	NUM
ejpam-3534	172	33	.	.	PUNCT
ejpam-3534	173	1	[	[	X
ejpam-3534	173	2	5	5	X
ejpam-3534	173	3	]	]	PUNCT
ejpam-3534	173	4	h.	h.	PROPN
ejpam-3534	173	5	bohr	bohr	PROPN
ejpam-3534	173	6	,	,	PUNCT
ejpam-3534	173	7	another	another	DET
ejpam-3534	173	8	proof	proof	NOUN
ejpam-3534	173	9	of	of	ADP
ejpam-3534	173	10	kronecker	kronecker	NOUN
ejpam-3534	173	11	’s	’s	PART
ejpam-3534	173	12	theorem	theorem	NOUN
ejpam-3534	173	13	,	,	PUNCT
ejpam-3534	173	14	proceedings	proceeding	NOUN
ejpam-3534	173	15	london	london	PROPN
ejpam-3534	173	16	mathematical	mathematical	ADJ
ejpam-3534	173	17	society	society	NOUN
ejpam-3534	173	18	2	2	NUM
ejpam-3534	173	19	-	-	SYM
ejpam-3534	173	20	21	21	NUM
ejpam-3534	173	21	(	(	PUNCT
ejpam-3534	173	22	1923	1923	NUM
ejpam-3534	173	23	)	)	PUNCT
ejpam-3534	173	24	,	,	PUNCT
ejpam-3534	173	25	315–316	315–316	NUM
ejpam-3534	173	26	.	.	PUNCT
ejpam-3534	173	27	‡for	‡for	ADP
ejpam-3534	173	28	analogs	analog	NOUN
ejpam-3534	173	29	of	of	ADP
ejpam-3534	173	30	montgomery	montgomery	PROPN
ejpam-3534	173	31	’s	’s	PART
ejpam-3534	173	32	theorem	theorem	NOUN
ejpam-3534	173	33	in	in	ADP
ejpam-3534	173	34	countable	countable	ADJ
ejpam-3534	173	35	transformation	transformation	NOUN
ejpam-3534	173	36	groups	group	NOUN
ejpam-3534	173	37	,	,	PUNCT
ejpam-3534	173	38	see	see	VERB
ejpam-3534	173	39	kaul	kaul	NOUN
ejpam-3534	174	1	[	[	X
ejpam-3534	174	2	22	22	NUM
ejpam-3534	174	3	]	]	PUNCT
ejpam-3534	174	4	,	,	PUNCT
ejpam-3534	174	5	roberts	roberts	PROPN
ejpam-3534	175	1	[	[	X
ejpam-3534	175	2	37	37	NUM
ejpam-3534	175	3	]	]	PUNCT
ejpam-3534	175	4	,	,	PUNCT
ejpam-3534	175	5	yang	yang	PROPN
ejpam-3534	176	1	[	[	X
ejpam-3534	176	2	50	50	NUM
ejpam-3534	176	3	]	]	PUNCT
ejpam-3534	176	4	.	.	PUNCT
ejpam-3534	177	1	pointwise	pointwise	VERB
ejpam-3534	177	2	periodic	periodic	ADJ
ejpam-3534	177	3	homeomorphisms	homeomorphism	NOUN
ejpam-3534	177	4	on	on	ADP
ejpam-3534	177	5	compact	compact	ADJ
ejpam-3534	177	6	metric	metric	ADJ
ejpam-3534	177	7	spaces	space	NOUN
ejpam-3534	177	8	are	be	AUX
ejpam-3534	177	9	studied	study	VERB
ejpam-3534	177	10	in	in	ADP
ejpam-3534	177	11	hall	hall	NOUN
ejpam-3534	177	12	&	&	CCONJ
ejpam-3534	177	13	schweigert	schweigert	NOUN
ejpam-3534	178	1	[	[	X
ejpam-3534	178	2	13	13	NUM
ejpam-3534	178	3	]	]	PUNCT
ejpam-3534	178	4	.	.	PUNCT
ejpam-3534	179	1	references	reference	NOUN
ejpam-3534	179	2	1357	1357	NUM
ejpam-3534	180	1	[	[	X
ejpam-3534	180	2	6	6	NUM
ejpam-3534	180	3	]	]	PUNCT
ejpam-3534	180	4	p.	p.	NOUN
ejpam-3534	180	5	de	de	X
ejpam-3534	180	6	leenheer	leenheer	PROPN
ejpam-3534	180	7	,	,	PUNCT
ejpam-3534	180	8	the	the	DET
ejpam-3534	180	9	puzzle	puzzle	NOUN
ejpam-3534	180	10	of	of	ADP
ejpam-3534	180	11	partial	partial	ADJ
ejpam-3534	180	12	migration	migration	NOUN
ejpam-3534	180	13	,	,	PUNCT
ejpam-3534	180	14	j.	j.	PROPN
ejpam-3534	180	15	theroretical	theroretical	PROPN
ejpam-3534	180	16	biology	biology	NOUN
ejpam-3534	180	17	412	412	NUM
ejpam-3534	180	18	(	(	PUNCT
ejpam-3534	180	19	2017	2017	NUM
ejpam-3534	180	20	)	)	PUNCT
ejpam-3534	180	21	,	,	PUNCT
ejpam-3534	180	22	172	172	NUM
ejpam-3534	180	23	–	–	SYM
ejpam-3534	180	24	185	185	NUM
ejpam-3534	180	25	.	.	PUNCT
ejpam-3534	181	1	[	[	X
ejpam-3534	181	2	7	7	X
ejpam-3534	181	3	]	]	X
ejpam-3534	181	4	g.	g.	PROPN
ejpam-3534	181	5	dirr	dirr	PROPN
ejpam-3534	181	6	,	,	PUNCT
ejpam-3534	181	7	h.	h.	PROPN
ejpam-3534	181	8	ito	ito	PROPN
ejpam-3534	181	9	,	,	PUNCT
ejpam-3534	181	10	a.	a.	NOUN
ejpam-3534	181	11	rantzer	rantzer	PROPN
ejpam-3534	181	12	&	&	CCONJ
ejpam-3534	181	13	b.	b.	PROPN
ejpam-3534	181	14	rüffer	rüffer	PROPN
ejpam-3534	181	15	,	,	PUNCT
ejpam-3534	181	16	separable	separable	ADJ
ejpam-3534	181	17	lyapunov	lyapunov	NOUN
ejpam-3534	181	18	functions	function	NOUN
ejpam-3534	181	19	for	for	ADP
ejpam-3534	181	20	monotone	monotone	ADJ
ejpam-3534	181	21	systems	system	NOUN
ejpam-3534	181	22	:	:	PUNCT
ejpam-3534	181	23	constructions	construction	NOUN
ejpam-3534	181	24	and	and	CCONJ
ejpam-3534	181	25	limitations	limitation	NOUN
ejpam-3534	181	26	,	,	PUNCT
ejpam-3534	181	27	discrete	discrete	ADJ
ejpam-3534	181	28	&	&	CCONJ
ejpam-3534	181	29	continuous	continuous	ADJ
ejpam-3534	181	30	dynamical	dynamical	ADJ
ejpam-3534	181	31	systems	system	NOUN
ejpam-3534	181	32	series	series	PROPN
ejpam-3534	181	33	b	b	PROPN
ejpam-3534	181	34	20	20	NUM
ejpam-3534	181	35	(	(	PUNCT
ejpam-3534	181	36	2015	2015	NUM
ejpam-3534	181	37	)	)	PUNCT
ejpam-3534	181	38	,	,	PUNCT
ejpam-3534	181	39	2497	2497	NUM
ejpam-3534	181	40	-	-	SYM
ejpam-3534	181	41	2526	2526	NUM
ejpam-3534	181	42	.	.	PUNCT
ejpam-3534	182	1	[	[	X
ejpam-3534	182	2	8	8	NUM
ejpam-3534	182	3	]	]	X
ejpam-3534	182	4	e.	e.	PROPN
ejpam-3534	182	5	balreira	balreira	PROPN
ejpam-3534	182	6	,	,	PUNCT
ejpam-3534	182	7	s.	s.	PROPN
ejpam-3534	182	8	elaydi	elaydi	PROPN
ejpam-3534	182	9	&	&	CCONJ
ejpam-3534	182	10	r.	r.	PROPN
ejpam-3534	182	11	luis	luis	PROPN
ejpam-3534	182	12	,	,	PUNCT
ejpam-3534	182	13	global	global	ADJ
ejpam-3534	182	14	stability	stability	NOUN
ejpam-3534	182	15	of	of	ADP
ejpam-3534	182	16	higher	high	ADJ
ejpam-3534	182	17	dimensional	dimensional	ADJ
ejpam-3534	182	18	monotone	monotone	ADJ
ejpam-3534	182	19	maps	map	NOUN
ejpam-3534	182	20	,	,	PUNCT
ejpam-3534	182	21	j.	j.	PROPN
ejpam-3534	182	22	difference	difference	PROPN
ejpam-3534	182	23	equations	equation	NOUN
ejpam-3534	182	24	&	&	CCONJ
ejpam-3534	182	25	applications	application	NOUN
ejpam-3534	182	26	23	23	NUM
ejpam-3534	182	27	(	(	PUNCT
ejpam-3534	182	28	2017	2017	NUM
ejpam-3534	182	29	)	)	PUNCT
ejpam-3534	182	30	,	,	PUNCT
ejpam-3534	182	31	2037–2071	2037–2071	NUM
ejpam-3534	182	32	.	.	PUNCT
ejpam-3534	183	1	[	[	X
ejpam-3534	183	2	9	9	NUM
ejpam-3534	183	3	]	]	X
ejpam-3534	183	4	g.	g.	PROPN
ejpam-3534	183	5	enciso	enciso	PROPN
ejpam-3534	183	6	&	&	CCONJ
ejpam-3534	183	7	e.	e.	PROPN
ejpam-3534	183	8	sontag	sontag	PROPN
ejpam-3534	183	9	,	,	PUNCT
ejpam-3534	183	10	global	global	ADJ
ejpam-3534	183	11	attractivity	attractivity	NOUN
ejpam-3534	183	12	,	,	PUNCT
ejpam-3534	183	13	i	i	PROPN
ejpam-3534	183	14	/	/	SYM
ejpam-3534	183	15	o	o	NOUN
ejpam-3534	183	16	monotone	monotone	ADJ
ejpam-3534	183	17	small	small	ADJ
ejpam-3534	183	18	-	-	PUNCT
ejpam-3534	183	19	gain	gain	NOUN
ejpam-3534	183	20	theorems	theorem	NOUN
ejpam-3534	183	21	,	,	PUNCT
ejpam-3534	183	22	and	and	CCONJ
ejpam-3534	183	23	biological	biological	ADJ
ejpam-3534	183	24	delay	delay	NOUN
ejpam-3534	183	25	systems	system	NOUN
ejpam-3534	183	26	,	,	PUNCT
ejpam-3534	183	27	discrete	discrete	ADJ
ejpam-3534	183	28	&	&	CCONJ
ejpam-3534	183	29	continuous	continuous	ADJ
ejpam-3534	183	30	dynamical	dynamical	ADJ
ejpam-3534	183	31	systems	system	NOUN
ejpam-3534	183	32	14	14	NUM
ejpam-3534	183	33	(	(	PUNCT
ejpam-3534	183	34	2006	2006	NUM
ejpam-3534	183	35	)	)	PUNCT
ejpam-3534	183	36	,	,	PUNCT
ejpam-3534	183	37	249–578	249–578	NUM
ejpam-3534	183	38	.	.	PUNCT
ejpam-3534	184	1	[	[	X
ejpam-3534	184	2	10	10	NUM
ejpam-3534	184	3	]	]	X
ejpam-3534	184	4	g.	g.	PROPN
ejpam-3534	184	5	enciso	enciso	PROPN
ejpam-3534	184	6	&	&	CCONJ
ejpam-3534	184	7	w.	w.	PROPN
ejpam-3534	184	8	just	just	ADV
ejpam-3534	184	9	,	,	PUNCT
ejpam-3534	184	10	analogues	analogue	NOUN
ejpam-3534	184	11	of	of	ADP
ejpam-3534	184	12	the	the	DET
ejpam-3534	184	13	smale	smale	NOUN
ejpam-3534	184	14	and	and	CCONJ
ejpam-3534	184	15	hirsch	hirsch	PROPN
ejpam-3534	184	16	theorems	theorem	NOUN
ejpam-3534	184	17	for	for	ADP
ejpam-3534	184	18	cooperative	cooperative	ADJ
ejpam-3534	184	19	boolean	boolean	NOUN
ejpam-3534	184	20	and	and	CCONJ
ejpam-3534	184	21	other	other	ADJ
ejpam-3534	184	22	discrete	discrete	ADJ
ejpam-3534	184	23	systems	system	NOUN
ejpam-3534	184	24	,	,	PUNCT
ejpam-3534	184	25	j.	j.	PROPN
ejpam-3534	184	26	difference	difference	PROPN
ejpam-3534	184	27	equations	equation	NOUN
ejpam-3534	184	28	&	&	CCONJ
ejpam-3534	184	29	applications	application	NOUN
ejpam-3534	184	30	12	12	NUM
ejpam-3534	184	31	(	(	PUNCT
ejpam-3534	184	32	2012	2012	NUM
ejpam-3534	184	33	)	)	PUNCT
ejpam-3534	184	34	,	,	PUNCT
ejpam-3534	184	35	223–238	223–238	NUM
ejpam-3534	184	36	.	.	PUNCT
ejpam-3534	185	1	[	[	X
ejpam-3534	185	2	11	11	NUM
ejpam-3534	185	3	]	]	X
ejpam-3534	185	4	e.	e.	PROPN
ejpam-3534	185	5	grant	grant	PROPN
ejpam-3534	185	6	,	,	PUNCT
ejpam-3534	185	7	“	"	PUNCT
ejpam-3534	185	8	nicole	nicole	PROPN
ejpam-3534	185	9	oresme	oresme	NOUN
ejpam-3534	185	10	and	and	CCONJ
ejpam-3534	185	11	the	the	DET
ejpam-3534	185	12	kinematics	kinematic	NOUN
ejpam-3534	185	13	of	of	ADP
ejpam-3534	185	14	circular	circular	ADJ
ejpam-3534	185	15	motion	motion	NOUN
ejpam-3534	185	16	:	:	PUNCT
ejpam-3534	185	17	tractatus	tractatus	PROPN
ejpam-3534	185	18	de	de	ADP
ejpam-3534	185	19	commensurabilitate	commensurabilitate	ADJ
ejpam-3534	185	20	vel	vel	PROPN
ejpam-3534	185	21	incommensurabilitate	incommensurabilitate	PROPN
ejpam-3534	185	22	motuum	motuum	PROPN
ejpam-3534	185	23	celi	celi	PROPN
ejpam-3534	185	24	”	"	PUNCT
ejpam-3534	185	25	,	,	PUNCT
ejpam-3534	185	26	university	university	PROPN
ejpam-3534	185	27	wisconsin	wisconsin	PROPN
ejpam-3534	185	28	press	press	PROPN
ejpam-3534	185	29	(	(	PUNCT
ejpam-3534	185	30	1971	1971	NUM
ejpam-3534	185	31	)	)	PUNCT
ejpam-3534	185	32	.	.	PUNCT
ejpam-3534	186	1	[	[	X
ejpam-3534	186	2	12	12	NUM
ejpam-3534	186	3	]	]	X
ejpam-3534	186	4	s.	s.	PROPN
ejpam-3534	186	5	grossberg	grossberg	PROPN
ejpam-3534	186	6	,	,	PUNCT
ejpam-3534	186	7	competition	competition	NOUN
ejpam-3534	186	8	,	,	PUNCT
ejpam-3534	186	9	decision	decision	NOUN
ejpam-3534	186	10	and	and	CCONJ
ejpam-3534	186	11	consensus	consensus	NOUN
ejpam-3534	186	12	,	,	PUNCT
ejpam-3534	186	13	j.	j.	PROPN
ejpam-3534	186	14	mathemacial	mathemacial	PROPN
ejpam-3534	186	15	analysis	analysis	NOUN
ejpam-3534	186	16	&	&	CCONJ
ejpam-3534	186	17	applications	application	NOUN
ejpam-3534	186	18	,	,	PUNCT
ejpam-3534	186	19	66	66	NUM
ejpam-3534	186	20	(	(	PUNCT
ejpam-3534	186	21	1978	1978	NUM
ejpam-3534	186	22	)	)	PUNCT
ejpam-3534	186	23	,	,	PUNCT
ejpam-3534	186	24	470–493	470–493	NUM
ejpam-3534	186	25	.	.	PUNCT
ejpam-3534	187	1	[	[	X
ejpam-3534	187	2	13	13	NUM
ejpam-3534	187	3	]	]	X
ejpam-3534	187	4	d.	d.	PROPN
ejpam-3534	187	5	hall	hall	PROPN
ejpam-3534	187	6	&	&	CCONJ
ejpam-3534	187	7	g.	g.	PROPN
ejpam-3534	187	8	schweigert	schweigert	PROPN
ejpam-3534	187	9	,	,	PUNCT
ejpam-3534	187	10	properties	property	NOUN
ejpam-3534	187	11	of	of	ADP
ejpam-3534	187	12	invariant	invariant	ADJ
ejpam-3534	187	13	sets	set	NOUN
ejpam-3534	187	14	under	under	ADP
ejpam-3534	187	15	pointwise	pointwise	ADJ
ejpam-3534	187	16	periodic	periodic	ADJ
ejpam-3534	187	17	homeomorphisms	homeomorphism	NOUN
ejpam-3534	187	18	,	,	PUNCT
ejpam-3534	187	19	duke	duke	PROPN
ejpam-3534	187	20	math	math	PROPN
ejpam-3534	187	21	.	.	PUNCT
ejpam-3534	188	1	j.	j.	PROPN
ejpam-3534	188	2	4	4	NUM
ejpam-3534	188	3	(	(	PUNCT
ejpam-3534	188	4	1938	1938	NUM
ejpam-3534	188	5	)	)	PUNCT
ejpam-3534	188	6	,	,	PUNCT
ejpam-3534	188	7	719–724	719–724	NUM
ejpam-3534	188	8	.	.	PUNCT
ejpam-3534	189	1	[	[	X
ejpam-3534	189	2	14	14	NUM
ejpam-3534	189	3	]	]	PUNCT
ejpam-3534	189	4	p.	p.	PROPN
ejpam-3534	189	5	hartman	hartman	PROPN
ejpam-3534	189	6	“	"	PUNCT
ejpam-3534	189	7	ordinary	ordinary	ADJ
ejpam-3534	189	8	differential	differential	ADJ
ejpam-3534	189	9	equations	equation	NOUN
ejpam-3534	189	10	”	"	PUNCT
ejpam-3534	189	11	,	,	PUNCT
ejpam-3534	189	12	john	john	PROPN
ejpam-3534	189	13	wiley	wiley	PROPN
ejpam-3534	189	14	&	&	CCONJ
ejpam-3534	189	15	sons	sons	PROPN
ejpam-3534	189	16	(	(	PUNCT
ejpam-3534	189	17	1964	1964	NUM
ejpam-3534	189	18	)	)	PUNCT
ejpam-3534	189	19	.	.	PUNCT
ejpam-3534	190	1	[	[	X
ejpam-3534	190	2	15	15	X
ejpam-3534	190	3	]	]	X
ejpam-3534	190	4	p.	p.	NOUN
ejpam-3534	190	5	hess	hess	PROPN
ejpam-3534	190	6	&	&	CCONJ
ejpam-3534	190	7	p.	p.	PROPN
ejpam-3534	190	8	polacik	polacik	PROPN
ejpam-3534	190	9	,	,	PUNCT
ejpam-3534	190	10	boundedness	boundedness	NOUN
ejpam-3534	190	11	of	of	ADP
ejpam-3534	190	12	prime	prime	ADJ
ejpam-3534	190	13	periods	period	NOUN
ejpam-3534	190	14	of	of	ADP
ejpam-3534	190	15	stable	stable	ADJ
ejpam-3534	190	16	cycles	cycle	NOUN
ejpam-3534	190	17	and	and	CCONJ
ejpam-3534	190	18	convergence	convergence	NOUN
ejpam-3534	190	19	to	to	ADP
ejpam-3534	190	20	fixed	fix	VERB
ejpam-3534	190	21	points	point	NOUN
ejpam-3534	190	22	in	in	ADP
ejpam-3534	190	23	discrete	discrete	ADJ
ejpam-3534	190	24	monotone	monotone	ADJ
ejpam-3534	190	25	dynamical	dynamical	ADJ
ejpam-3534	190	26	systems	system	NOUN
ejpam-3534	190	27	,	,	PUNCT
ejpam-3534	190	28	siam	siam	PROPN
ejpam-3534	190	29	j.	j.	PROPN
ejpam-3534	190	30	mathematical	mathematical	PROPN
ejpam-3534	190	31	analysis	analysis	NOUN
ejpam-3534	190	32	24	24	NUM
ejpam-3534	190	33	(	(	PUNCT
ejpam-3534	190	34	1993	1993	NUM
ejpam-3534	190	35	)	)	PUNCT
ejpam-3534	190	36	,	,	PUNCT
ejpam-3534	190	37	1312	1312	NUM
ejpam-3534	190	38	-	-	SYM
ejpam-3534	190	39	1330	1330	NUM
ejpam-3534	190	40	.	.	PUNCT
ejpam-3534	191	1	[	[	X
ejpam-3534	191	2	16	16	NUM
ejpam-3534	191	3	]	]	PUNCT
ejpam-3534	191	4	m.	m.	PROPN
ejpam-3534	191	5	hirsch	hirsch	PROPN
ejpam-3534	191	6	,	,	PUNCT
ejpam-3534	191	7	systems	system	NOUN
ejpam-3534	191	8	of	of	ADP
ejpam-3534	191	9	differential	differential	ADJ
ejpam-3534	191	10	equations	equation	NOUN
ejpam-3534	191	11	that	that	PRON
ejpam-3534	191	12	are	be	AUX
ejpam-3534	191	13	competitive	competitive	ADJ
ejpam-3534	191	14	or	or	CCONJ
ejpam-3534	191	15	cooperative	cooperative	ADJ
ejpam-3534	191	16	ii	ii	NOUN
ejpam-3534	191	17	:	:	PUNCT
ejpam-3534	191	18	convergence	convergence	NOUN
ejpam-3534	191	19	almost	almost	ADV
ejpam-3534	191	20	everywhere	everywhere	ADV
ejpam-3534	191	21	,	,	PUNCT
ejpam-3534	191	22	siam	siam	PROPN
ejpam-3534	191	23	j.	j.	PROPN
ejpam-3534	191	24	mathematical	mathematical	PROPN
ejpam-3534	191	25	analysis	analysis	NOUN
ejpam-3534	191	26	16	16	NUM
ejpam-3534	191	27	(	(	PUNCT
ejpam-3534	191	28	1985	1985	NUM
ejpam-3534	191	29	)	)	PUNCT
ejpam-3534	191	30	,	,	PUNCT
ejpam-3534	191	31	432–439	432–439	NUM
ejpam-3534	191	32	.	.	PUNCT
ejpam-3534	192	1	[	[	X
ejpam-3534	192	2	17	17	NUM
ejpam-3534	192	3	]	]	PUNCT
ejpam-3534	192	4	m.	m.	PROPN
ejpam-3534	192	5	hirsch	hirsch	PROPN
ejpam-3534	192	6	,	,	PUNCT
ejpam-3534	192	7	stability	stability	NOUN
ejpam-3534	192	8	and	and	CCONJ
ejpam-3534	192	9	convergence	convergence	NOUN
ejpam-3534	192	10	in	in	ADP
ejpam-3534	192	11	strongly	strongly	ADV
ejpam-3534	192	12	monotone	monotone	ADJ
ejpam-3534	192	13	dynamical	dynamical	ADJ
ejpam-3534	192	14	systems	system	NOUN
ejpam-3534	192	15	,	,	PUNCT
ejpam-3534	192	16	j.	j.	PROPN
ejpam-3534	192	17	die	die	PROPN
ejpam-3534	192	18	reine	reine	PROPN
ejpam-3534	192	19	und	und	PROPN
ejpam-3534	192	20	angewandte	angewandte	PROPN
ejpam-3534	192	21	mathematik	mathematik	PROPN
ejpam-3534	192	22	383	383	NUM
ejpam-3534	192	23	(	(	PUNCT
ejpam-3534	192	24	1988	1988	NUM
ejpam-3534	192	25	)	)	PUNCT
ejpam-3534	192	26	,	,	PUNCT
ejpam-3534	192	27	1–53	1–53	NOUN
ejpam-3534	192	28	.	.	PUNCT
ejpam-3534	193	1	[	[	X
ejpam-3534	193	2	18	18	NUM
ejpam-3534	193	3	]	]	PUNCT
ejpam-3534	193	4	m.	m.	NOUN
ejpam-3534	193	5	hirsch	hirsch	PROPN
ejpam-3534	193	6	,	,	PUNCT
ejpam-3534	193	7	monotone	monotone	ADJ
ejpam-3534	193	8	dynamical	dynamical	ADJ
ejpam-3534	193	9	systems	system	NOUN
ejpam-3534	193	10	with	with	ADP
ejpam-3534	193	11	polyhedral	polyhedral	ADJ
ejpam-3534	193	12	order	order	NOUN
ejpam-3534	193	13	cones	cone	NOUN
ejpam-3534	193	14	and	and	CCONJ
ejpam-3534	193	15	dense	dense	ADJ
ejpam-3534	193	16	periodic	periodic	ADJ
ejpam-3534	193	17	points	point	NOUN
ejpam-3534	193	18	,	,	PUNCT
ejpam-3534	193	19	aims	aim	VERB
ejpam-3534	193	20	mathematics	mathematics	NOUN
ejpam-3534	193	21	2	2	NUM
ejpam-3534	193	22	(	(	PUNCT
ejpam-3534	193	23	2017	2017	NUM
ejpam-3534	193	24	)	)	PUNCT
ejpam-3534	193	25	,	,	PUNCT
ejpam-3534	193	26	24–27	24–27	NUM
ejpam-3534	193	27	.	.	PUNCT
ejpam-3534	194	1	[	[	X
ejpam-3534	194	2	19	19	NUM
ejpam-3534	194	3	]	]	PUNCT
ejpam-3534	194	4	m.	m.	PROPN
ejpam-3534	194	5	hirsch	hirsch	PROPN
ejpam-3534	194	6	&	&	CCONJ
ejpam-3534	194	7	h.l	h.l	PROPN
ejpam-3534	194	8	.	.	PROPN
ejpam-3534	194	9	smith	smith	PROPN
ejpam-3534	194	10	,	,	PUNCT
ejpam-3534	194	11	monotone	monotone	ADJ
ejpam-3534	194	12	dynamical	dynamical	ADJ
ejpam-3534	194	13	systems	system	NOUN
ejpam-3534	194	14	,	,	PUNCT
ejpam-3534	194	15	“	"	PUNCT
ejpam-3534	194	16	handbook	handbook	NOUN
ejpam-3534	194	17	of	of	ADP
ejpam-3534	194	18	differential	differential	ADJ
ejpam-3534	194	19	equations	equation	NOUN
ejpam-3534	194	20	:	:	PUNCT
ejpam-3534	194	21	ordinary	ordinary	ADJ
ejpam-3534	194	22	differential	differential	ADJ
ejpam-3534	194	23	equations	equation	NOUN
ejpam-3534	194	24	,	,	PUNCT
ejpam-3534	194	25	vol	vol	NOUN
ejpam-3534	194	26	.	.	PROPN
ejpam-3534	194	27	2	2	NUM
ejpam-3534	194	28	,	,	PUNCT
ejpam-3534	194	29	239–258	239–258	NUM
ejpam-3534	194	30	.	.	PUNCT
ejpam-3534	195	1	editors	editor	NOUN
ejpam-3534	195	2	:	:	PUNCT
ejpam-3534	195	3	a.	a.	PROPN
ejpam-3534	195	4	cañada	cañada	PROPN
ejpam-3534	195	5	,	,	PUNCT
ejpam-3534	195	6	p.	p.	NOUN
ejpam-3534	195	7	drab́ek	drab́ek	PROPN
ejpam-3534	195	8	,	,	PUNCT
ejpam-3534	195	9	a.	a.	NOUN
ejpam-3534	195	10	fonda	fonda	PROPN
ejpam-3534	195	11	.	.	PUNCT
ejpam-3534	196	1	elsevier	elsevier	PROPN
ejpam-3534	196	2	north	north	PROPN
ejpam-3534	196	3	holland	holland	PROPN
ejpam-3534	196	4	,	,	PUNCT
ejpam-3534	196	5	boston	boston	PROPN
ejpam-3534	196	6	,	,	PUNCT
ejpam-3534	196	7	massachusetts	massachusetts	PROPN
ejpam-3534	196	8	(	(	PUNCT
ejpam-3534	196	9	2005	2005	NUM
ejpam-3534	196	10	)	)	PUNCT
ejpam-3534	196	11	.	.	PUNCT
ejpam-3534	197	1	[	[	X
ejpam-3534	197	2	20	20	NUM
ejpam-3534	197	3	]	]	PUNCT
ejpam-3534	197	4	e.	e.	PROPN
ejpam-3534	197	5	kamke	kamke	PROPN
ejpam-3534	197	6	,	,	PUNCT
ejpam-3534	197	7	zur	zur	PROPN
ejpam-3534	197	8	theorie	theorie	PROPN
ejpam-3534	197	9	der	der	PROPN
ejpam-3534	197	10	systeme	systeme	PROPN
ejpam-3534	197	11	gewöhnlicher	gewöhnlicher	X
ejpam-3534	197	12	differential	differential	NOUN
ejpam-3534	197	13	-	-	PUNCT
ejpam-3534	197	14	gleichungen	gleichungen	NOUN
ejpam-3534	197	15	,	,	PUNCT
ejpam-3534	197	16	ii	ii	PROPN
ejpam-3534	197	17	,	,	PUNCT
ejpam-3534	197	18	acta	acta	PROPN
ejpam-3534	197	19	mathematica	mathematica	PROPN
ejpam-3534	197	20	,	,	PUNCT
ejpam-3534	197	21	58	58	NUM
ejpam-3534	197	22	(	(	PUNCT
ejpam-3534	197	23	1932	1932	NUM
ejpam-3534	197	24	)	)	PUNCT
ejpam-3534	197	25	,	,	PUNCT
ejpam-3534	197	26	57–85	57–85	NOUN
ejpam-3534	197	27	.	.	PUNCT
ejpam-3534	198	1	[	[	X
ejpam-3534	198	2	21	21	NUM
ejpam-3534	198	3	]	]	PUNCT
ejpam-3534	198	4	a.	a.	NOUN
ejpam-3534	198	5	kar	kar	PROPN
ejpam-3534	198	6	,	,	PUNCT
ejpam-3534	198	7	weyl	weyl	PROPN
ejpam-3534	198	8	’s	’s	PART
ejpam-3534	198	9	equidistribution	equidistribution	NOUN
ejpam-3534	198	10	theorem	theorem	NOUN
ejpam-3534	198	11	,	,	PUNCT
ejpam-3534	198	12	resonance	resonance	NOUN
ejpam-3534	198	13	8	8	NUM
ejpam-3534	198	14	(	(	PUNCT
ejpam-3534	198	15	2003	2003	NUM
ejpam-3534	198	16	)	)	PUNCT
ejpam-3534	198	17	,	,	PUNCT
ejpam-3534	198	18	30–37	30–37	NUM
ejpam-3534	198	19	.	.	PUNCT
ejpam-3534	198	20	references	reference	NOUN
ejpam-3534	198	21	1358	1358	NUM
ejpam-3534	198	22	[	[	X
ejpam-3534	198	23	22	22	NUM
ejpam-3534	198	24	]	]	PUNCT
ejpam-3534	198	25	s.	s.	PROPN
ejpam-3534	198	26	kaul	kaul	PROPN
ejpam-3534	198	27	,	,	PUNCT
ejpam-3534	198	28	on	on	ADP
ejpam-3534	198	29	pointwise	pointwise	NOUN
ejpam-3534	198	30	periodic	periodic	ADJ
ejpam-3534	198	31	transformation	transformation	NOUN
ejpam-3534	198	32	groups	group	NOUN
ejpam-3534	198	33	,	,	PUNCT
ejpam-3534	198	34	proceedngs	proceedng	NOUN
ejpam-3534	198	35	american	american	PROPN
ejpam-3534	198	36	mathematical	mathematical	PROPN
ejpam-3534	198	37	society	society	NOUN
ejpam-3534	198	38	,	,	PUNCT
ejpam-3534	198	39	27	27	NUM
ejpam-3534	198	40	(	(	PUNCT
ejpam-3534	198	41	1971	1971	NUM
ejpam-3534	198	42	)	)	PUNCT
ejpam-3534	198	43	,	,	PUNCT
ejpam-3534	198	44	391–394	391–394	NUM
ejpam-3534	198	45	.	.	PUNCT
ejpam-3534	199	1	[	[	X
ejpam-3534	199	2	23	23	NUM
ejpam-3534	199	3	]	]	PUNCT
ejpam-3534	199	4	a.	a.	NOUN
ejpam-3534	199	5	kolmogorov	kolmogorov	PROPN
ejpam-3534	199	6	,	,	PUNCT
ejpam-3534	199	7	sulla	sulla	PROPN
ejpam-3534	199	8	teoria	teoria	PROPN
ejpam-3534	199	9	di	di	PROPN
ejpam-3534	199	10	volterra	volterra	PROPN
ejpam-3534	199	11	della	della	PROPN
ejpam-3534	199	12	lotta	lotta	PROPN
ejpam-3534	199	13	per	per	ADP
ejpam-3534	199	14	l’esistenza	l’esistenza	PROPN
ejpam-3534	199	15	,	,	PUNCT
ejpam-3534	199	16	giornale	giornale	PROPN
ejpam-3534	199	17	istituto	istituto	PROPN
ejpam-3534	199	18	ital	ital	PROPN
ejpam-3534	199	19	.	.	PUNCT
ejpam-3534	200	1	attuari	attuari	PROPN
ejpam-3534	200	2	,	,	PUNCT
ejpam-3534	200	3	7	7	NUM
ejpam-3534	200	4	(	(	PUNCT
ejpam-3534	200	5	1936	1936	NUM
ejpam-3534	200	6	)	)	PUNCT
ejpam-3534	200	7	,	,	PUNCT
ejpam-3534	200	8	74–80	74–80	NUM
ejpam-3534	200	9	.	.	PUNCT
ejpam-3534	201	1	[	[	X
ejpam-3534	201	2	24	24	NUM
ejpam-3534	201	3	]	]	X
ejpam-3534	201	4	l.	l.	PROPN
ejpam-3534	201	5	kronecker	kronecker	PROPN
ejpam-3534	201	6	,	,	PUNCT
ejpam-3534	201	7	näherungsweise	näherungsweise	PROPN
ejpam-3534	201	8	ganzzahlige	ganzzahlige	PROPN
ejpam-3534	201	9	auflösung	auflösung	ADP
ejpam-3534	201	10	linearer	linearer	NOUN
ejpam-3534	201	11	gleichungen	gleichungen	NOUN
ejpam-3534	201	12	,	,	PUNCT
ejpam-3534	201	13	werke	werke	VERB
ejpam-3534	201	14	3	3	NUM
ejpam-3534	201	15	,	,	PUNCT
ejpam-3534	201	16	chelsea	chelsea	PROPN
ejpam-3534	201	17	reprint	reprint	PROPN
ejpam-3534	201	18	(	(	PUNCT
ejpam-3534	201	19	1968	1968	NUM
ejpam-3534	201	20	)	)	PUNCT
ejpam-3534	201	21	,	,	PUNCT
ejpam-3534	201	22	47–109	47–109	PROPN
ejpam-3534	201	23	.	.	PUNCT
ejpam-3534	202	1	[	[	X
ejpam-3534	202	2	25	25	NUM
ejpam-3534	202	3	]	]	PUNCT
ejpam-3534	202	4	a.	a.	NOUN
ejpam-3534	202	5	lajmanovich	lajmanovich	PROPN
ejpam-3534	202	6	&	&	CCONJ
ejpam-3534	202	7	j.	j.	PROPN
ejpam-3534	202	8	yorke	yorke	PROPN
ejpam-3534	202	9	,	,	PUNCT
ejpam-3534	202	10	a	a	DET
ejpam-3534	202	11	deterministic	deterministic	ADJ
ejpam-3534	202	12	model	model	NOUN
ejpam-3534	202	13	for	for	ADP
ejpam-3534	202	14	gonorrhea	gonorrhea	NOUN
ejpam-3534	202	15	in	in	ADP
ejpam-3534	202	16	a	a	DET
ejpam-3534	202	17	nonhomogeneous	nonhomogeneous	ADJ
ejpam-3534	202	18	population	population	NOUN
ejpam-3534	202	19	,	,	PUNCT
ejpam-3534	202	20	mathematical	mathematical	ADJ
ejpam-3534	202	21	biosciences	bioscience	NOUN
ejpam-3534	202	22	28	28	NUM
ejpam-3534	202	23	(	(	PUNCT
ejpam-3534	202	24	1976	1976	NUM
ejpam-3534	202	25	)	)	PUNCT
ejpam-3534	202	26	,	,	PUNCT
ejpam-3534	202	27	221–236	221–236	NUM
ejpam-3534	202	28	.	.	PUNCT
ejpam-3534	203	1	[	[	X
ejpam-3534	203	2	26	26	NUM
ejpam-3534	203	3	]	]	PUNCT
ejpam-3534	203	4	a.	a.	NOUN
ejpam-3534	203	5	landsberg	landsberg	PROPN
ejpam-3534	203	6	&	&	CCONJ
ejpam-3534	203	7	e.	e.	PROPN
ejpam-3534	203	8	friedman	friedman	PROPN
ejpam-3534	203	9	,	,	PUNCT
ejpam-3534	203	10	dynamical	dynamical	ADJ
ejpam-3534	203	11	effects	effect	NOUN
ejpam-3534	203	12	of	of	ADP
ejpam-3534	203	13	partial	partial	ADJ
ejpam-3534	203	14	orderings	ordering	NOUN
ejpam-3534	203	15	in	in	ADP
ejpam-3534	203	16	physical	physical	ADJ
ejpam-3534	203	17	systems	system	NOUN
ejpam-3534	203	18	,	,	PUNCT
ejpam-3534	203	19	physical	physical	ADJ
ejpam-3534	203	20	review	review	NOUN
ejpam-3534	203	21	e	e	NOUN
ejpam-3534	203	22	,	,	PUNCT
ejpam-3534	203	23	54	54	NUM
ejpam-3534	203	24	(	(	PUNCT
ejpam-3534	203	25	1996	1996	NUM
ejpam-3534	203	26	)	)	PUNCT
ejpam-3534	203	27	,	,	PUNCT
ejpam-3534	203	28	3135–3141	3135–3141	NUM
ejpam-3534	203	29	.	.	PUNCT
ejpam-3534	204	1	[	[	X
ejpam-3534	204	2	27	27	NUM
ejpam-3534	204	3	]	]	X
ejpam-3534	204	4	b.	b.	PROPN
ejpam-3534	204	5	lemmens	lemmens	PROPN
ejpam-3534	204	6	,	,	PUNCT
ejpam-3534	204	7	o.	o.	PROPN
ejpam-3534	204	8	van	van	PROPN
ejpam-3534	204	9	gaans	gaans	PROPN
ejpam-3534	204	10	&	&	CCONJ
ejpam-3534	204	11	h.	h.	PROPN
ejpam-3534	204	12	van	van	PROPN
ejpam-3534	204	13	imhoff	imhoff	PROPN
ejpam-3534	204	14	,	,	PUNCT
ejpam-3534	204	15	monotone	monotone	ADJ
ejpam-3534	204	16	dynamical	dynamical	ADJ
ejpam-3534	204	17	systems	system	NOUN
ejpam-3534	204	18	with	with	ADP
ejpam-3534	204	19	dense	dense	ADJ
ejpam-3534	204	20	periodic	periodic	ADJ
ejpam-3534	204	21	points	point	NOUN
ejpam-3534	204	22	,	,	PUNCT
ejpam-3534	204	23	journal	journal	NOUN
ejpam-3534	204	24	of	of	ADP
ejpam-3534	204	25	differential	differential	ADJ
ejpam-3534	204	26	equations	equation	NOUN
ejpam-3534	204	27	265	265	NUM
ejpam-3534	204	28	2018	2018	NUM
ejpam-3534	204	29	,	,	PUNCT
ejpam-3534	204	30	5709–5715	5709–5715	NOUN
ejpam-3534	204	31	.	.	PUNCT
ejpam-3534	205	1	[	[	X
ejpam-3534	205	2	28	28	NUM
ejpam-3534	205	3	]	]	X
ejpam-3534	205	4	w.	w.	PROPN
ejpam-3534	205	5	leonard	leonard	PROPN
ejpam-3534	205	6	&	&	CCONJ
ejpam-3534	205	7	r.	r.	PROPN
ejpam-3534	205	8	may	may	PROPN
ejpam-3534	205	9	,	,	PUNCT
ejpam-3534	205	10	nonlinear	nonlinear	ADJ
ejpam-3534	205	11	aspects	aspect	NOUN
ejpam-3534	205	12	of	of	ADP
ejpam-3534	205	13	competition	competition	NOUN
ejpam-3534	205	14	between	between	ADP
ejpam-3534	205	15	species	specie	NOUN
ejpam-3534	205	16	,	,	PUNCT
ejpam-3534	205	17	siam	siam	PROPN
ejpam-3534	205	18	j.	j.	PROPN
ejpam-3534	205	19	applied	applied	PROPN
ejpam-3534	205	20	mathematics	mathematic	NOUN
ejpam-3534	205	21	29	29	NUM
ejpam-3534	205	22	(	(	PUNCT
ejpam-3534	205	23	1975	1975	NUM
ejpam-3534	205	24	)	)	PUNCT
ejpam-3534	205	25	,	,	PUNCT
ejpam-3534	205	26	243–275	243–275	NUM
ejpam-3534	205	27	.	.	PUNCT
ejpam-3534	206	1	[	[	X
ejpam-3534	206	2	29	29	NUM
ejpam-3534	206	3	]	]	X
ejpam-3534	206	4	h.	h.	PROPN
ejpam-3534	206	5	matano	matano	PROPN
ejpam-3534	206	6	,	,	PUNCT
ejpam-3534	206	7	strongly	strongly	ADV
ejpam-3534	206	8	order	order	NOUN
ejpam-3534	206	9	-	-	PUNCT
ejpam-3534	206	10	preserving	preserve	VERB
ejpam-3534	206	11	local	local	ADJ
ejpam-3534	206	12	semi	semi	ADJ
ejpam-3534	206	13	-	-	ADJ
ejpam-3534	206	14	dynamical	dynamical	ADJ
ejpam-3534	206	15	systems	system	NOUN
ejpam-3534	206	16	-	-	PUNCT
ejpam-3534	206	17	theory	theory	NOUN
ejpam-3534	206	18	and	and	CCONJ
ejpam-3534	206	19	applications	application	NOUN
ejpam-3534	206	20	.	.	PUNCT
ejpam-3534	207	1	“	"	PUNCT
ejpam-3534	207	2	semigroups	semigroup	NOUN
ejpam-3534	207	3	,	,	PUNCT
ejpam-3534	207	4	theory	theory	NOUN
ejpam-3534	207	5	and	and	CCONJ
ejpam-3534	207	6	applications	application	NOUN
ejpam-3534	207	7	,	,	PUNCT
ejpam-3534	207	8	volume	volume	NOUN
ejpam-3534	207	9	1	1	NUM
ejpam-3534	207	10	.	.	PUNCT
ejpam-3534	207	11	”	"	PUNCT
ejpam-3534	207	12	editors	editor	NOUN
ejpam-3534	207	13	:	:	PUNCT
ejpam-3534	207	14	h.brezis	h.brezi	NOUN
ejpam-3534	207	15	,	,	PUNCT
ejpam-3534	207	16	m.	m.	NOUN
ejpam-3534	207	17	crandall	crandall	PROPN
ejpam-3534	207	18	,	,	PUNCT
ejpam-3534	207	19	f.kappel	f.kappel	PRON
ejpam-3534	207	20	.	.	PUNCT
ejpam-3534	208	1	research	research	NOUN
ejpam-3534	208	2	notes	note	NOUN
ejpam-3534	208	3	in	in	ADP
ejpam-3534	208	4	mathematics	mathematic	NOUN
ejpam-3534	208	5	141	141	NUM
ejpam-3534	208	6	,	,	PUNCT
ejpam-3534	208	7	longman	longman	NOUN
ejpam-3534	208	8	scientific	scientific	PROPN
ejpam-3534	208	9	&	&	CCONJ
ejpam-3534	208	10	technical	technical	PROPN
ejpam-3534	208	11	,	,	PUNCT
ejpam-3534	208	12	london	london	PROPN
ejpam-3534	208	13	,	,	PUNCT
ejpam-3534	208	14	178–185	178–185	NUM
ejpam-3534	208	15	(	(	PUNCT
ejpam-3534	208	16	1986	1986	NUM
ejpam-3534	208	17	)	)	PUNCT
ejpam-3534	208	18	.	.	PUNCT
ejpam-3534	209	1	[	[	X
ejpam-3534	209	2	30	30	NUM
ejpam-3534	209	3	]	]	X
ejpam-3534	209	4	j.	j.	PROPN
ejpam-3534	209	5	mierczyn’ski	mierczyn’ski	PROPN
ejpam-3534	209	6	,	,	PUNCT
ejpam-3534	209	7	p	p	NOUN
ejpam-3534	209	8	-	-	PUNCT
ejpam-3534	209	9	arcs	arcs	NOUN
ejpam-3534	209	10	in	in	ADP
ejpam-3534	209	11	strongly	strongly	ADV
ejpam-3534	209	12	monotone	monotone	ADJ
ejpam-3534	209	13	discrete	discrete	ADJ
ejpam-3534	209	14	-	-	PUNCT
ejpam-3534	209	15	time	time	NOUN
ejpam-3534	209	16	dynamical	dynamical	ADJ
ejpam-3534	209	17	systems	system	NOUN
ejpam-3534	209	18	,	,	PUNCT
ejpam-3534	209	19	differential	differential	NOUN
ejpam-3534	209	20	&	&	CCONJ
ejpam-3534	209	21	integral	integral	ADJ
ejpam-3534	209	22	equations	equation	NOUN
ejpam-3534	209	23	,	,	PUNCT
ejpam-3534	209	24	7	7	NUM
ejpam-3534	209	25	(	(	PUNCT
ejpam-3534	209	26	1994	1994	NUM
ejpam-3534	209	27	)	)	PUNCT
ejpam-3534	209	28	,	,	PUNCT
ejpam-3534	209	29	1473–1494	1473–1494	NUM
ejpam-3534	209	30	.	.	PUNCT
ejpam-3534	210	1	[	[	X
ejpam-3534	210	2	31	31	NUM
ejpam-3534	210	3	]	]	X
ejpam-3534	210	4	d.	d.	PROPN
ejpam-3534	210	5	montgomery	montgomery	PROPN
ejpam-3534	210	6	,	,	PUNCT
ejpam-3534	210	7	pointwise	pointwise	VERB
ejpam-3534	210	8	periodic	periodic	ADJ
ejpam-3534	210	9	homeomorphisms	homeomorphism	NOUN
ejpam-3534	210	10	,	,	PUNCT
ejpam-3534	210	11	american	american	PROPN
ejpam-3534	210	12	j.	j.	PROPN
ejpam-3534	210	13	mathematics	mathematics	PROPN
ejpam-3534	210	14	59	59	NUM
ejpam-3534	210	15	(	(	PUNCT
ejpam-3534	210	16	1937	1937	NUM
ejpam-3534	210	17	)	)	PUNCT
ejpam-3534	210	18	,	,	PUNCT
ejpam-3534	210	19	118–120	118–120	NUM
ejpam-3534	210	20	.	.	PUNCT
ejpam-3534	211	1	[	[	X
ejpam-3534	211	2	32	32	NUM
ejpam-3534	211	3	]	]	PUNCT
ejpam-3534	211	4	d.	d.	PROPN
ejpam-3534	211	5	montgomery	montgomery	PROPN
ejpam-3534	211	6	&	&	CCONJ
ejpam-3534	211	7	l.	l.	PROPN
ejpam-3534	211	8	zippin	zippin	PROPN
ejpam-3534	211	9	,	,	PUNCT
ejpam-3534	211	10	“	"	PUNCT
ejpam-3534	211	11	topological	topological	ADJ
ejpam-3534	211	12	transformation	transformation	NOUN
ejpam-3534	211	13	groups	group	NOUN
ejpam-3534	211	14	,	,	PUNCT
ejpam-3534	211	15	”	"	PUNCT
ejpam-3534	211	16	interscience	interscience	NOUN
ejpam-3534	211	17	(	(	PUNCT
ejpam-3534	211	18	1955	1955	NUM
ejpam-3534	211	19	)	)	PUNCT
ejpam-3534	211	20	.	.	PUNCT
ejpam-3534	212	1	[	[	X
ejpam-3534	212	2	33	33	NUM
ejpam-3534	212	3	]	]	X
ejpam-3534	212	4	m.h.a	m.h.a	PROPN
ejpam-3534	212	5	.	.	PUNCT
ejpam-3534	212	6	newman	newman	PROPN
ejpam-3534	212	7	,	,	PUNCT
ejpam-3534	212	8	a	a	DET
ejpam-3534	212	9	theorem	theorem	NOUN
ejpam-3534	212	10	on	on	ADP
ejpam-3534	212	11	periodic	periodic	ADJ
ejpam-3534	212	12	transformation	transformation	NOUN
ejpam-3534	212	13	of	of	ADP
ejpam-3534	212	14	spaces	space	NOUN
ejpam-3534	212	15	,	,	PUNCT
ejpam-3534	212	16	quartely	quartely	ADV
ejpam-3534	212	17	journal	journal	NOUN
ejpam-3534	212	18	of	of	ADP
ejpam-3534	212	19	mathematics	mathematics	PROPN
ejpam-3534	212	20	2	2	NUM
ejpam-3534	212	21	(	(	PUNCT
ejpam-3534	212	22	1931	1931	NUM
ejpam-3534	212	23	)	)	PUNCT
ejpam-3534	212	24	,	,	PUNCT
ejpam-3534	212	25	1–8	1–8	X
ejpam-3534	212	26	.	.	PUNCT
ejpam-3534	213	1	[	[	X
ejpam-3534	213	2	34	34	NUM
ejpam-3534	213	3	]	]	X
ejpam-3534	213	4	c.	c.	PROPN
ejpam-3534	213	5	potzsche	potzsche	PROPN
ejpam-3534	213	6	,	,	PUNCT
ejpam-3534	213	7	order	order	NOUN
ejpam-3534	213	8	-	-	PUNCT
ejpam-3534	213	9	preserving	preserve	VERB
ejpam-3534	213	10	nonautonomous	nonautonomous	ADJ
ejpam-3534	213	11	discrete	discrete	ADJ
ejpam-3534	213	12	dynamics	dynamic	NOUN
ejpam-3534	213	13	:	:	PUNCT
ejpam-3534	213	14	attractors	attractor	NOUN
ejpam-3534	213	15	and	and	CCONJ
ejpam-3534	213	16	entire	entire	ADJ
ejpam-3534	213	17	solutions	solution	NOUN
ejpam-3534	213	18	,	,	PUNCT
ejpam-3534	213	19	positivity	positivity	NOUN
ejpam-3534	213	20	19	19	NUM
ejpam-3534	213	21	(	(	PUNCT
ejpam-3534	213	22	2015	2015	NUM
ejpam-3534	213	23	)	)	PUNCT
ejpam-3534	213	24	,	,	PUNCT
ejpam-3534	213	25	547–576	547–576	NUM
ejpam-3534	213	26	.	.	PUNCT
ejpam-3534	214	1	[	[	X
ejpam-3534	214	2	35	35	NUM
ejpam-3534	214	3	]	]	X
ejpam-3534	214	4	r.	r.	PROPN
ejpam-3534	214	5	redheffer	redheffer	PROPN
ejpam-3534	214	6	&	&	CCONJ
ejpam-3534	214	7	w.	w.	PROPN
ejpam-3534	214	8	walter	walter	PROPN
ejpam-3534	214	9	,	,	PUNCT
ejpam-3534	214	10	flow	flow	NOUN
ejpam-3534	214	11	-	-	PUNCT
ejpam-3534	214	12	invariant	invariant	ADJ
ejpam-3534	214	13	sets	set	NOUN
ejpam-3534	214	14	and	and	CCONJ
ejpam-3534	214	15	differential	differential	ADJ
ejpam-3534	214	16	inequalities	inequality	NOUN
ejpam-3534	214	17	in	in	ADP
ejpam-3534	214	18	normed	normed	ADJ
ejpam-3534	214	19	spaces	space	NOUN
ejpam-3534	214	20	,	,	PUNCT
ejpam-3534	214	21	applicable	applicable	ADJ
ejpam-3534	214	22	analysis	analysis	NOUN
ejpam-3534	214	23	5	5	NUM
ejpam-3534	214	24	(	(	PUNCT
ejpam-3534	214	25	1975	1975	NUM
ejpam-3534	214	26	)	)	PUNCT
ejpam-3534	214	27	149–1611	149–1611	NUM
ejpam-3534	214	28	.	.	PUNCT
ejpam-3534	215	1	[	[	X
ejpam-3534	215	2	36	36	NUM
ejpam-3534	215	3	]	]	X
ejpam-3534	215	4	r.	r.	PROPN
ejpam-3534	215	5	redheffer	redheffer	PROPN
ejpam-3534	215	6	&	&	CCONJ
ejpam-3534	215	7	walter	walter	PROPN
ejpam-3534	215	8	,	,	PUNCT
ejpam-3534	215	9	remarks	remark	NOUN
ejpam-3534	215	10	on	on	ADP
ejpam-3534	215	11	ordinary	ordinary	ADJ
ejpam-3534	215	12	differential	differential	ADJ
ejpam-3534	215	13	equations	equation	NOUN
ejpam-3534	215	14	in	in	ADP
ejpam-3534	215	15	ordered	order	VERB
ejpam-3534	215	16	banach	banach	NOUN
ejpam-3534	215	17	spaces	space	NOUN
ejpam-3534	215	18	,	,	PUNCT
ejpam-3534	215	19	monatshefte	monatshefte	PROPN
ejpam-3534	215	20	mathematik	mathematik	PROPN
ejpam-3534	215	21	.	.	PUNCT
ejpam-3534	216	1	102	102	NUM
ejpam-3534	216	2	(	(	PUNCT
ejpam-3534	216	3	1986	1986	NUM
ejpam-3534	216	4	)	)	PUNCT
ejpam-3534	216	5	,	,	PUNCT
ejpam-3534	216	6	237–249	237–249	NUM
ejpam-3534	216	7	.	.	PUNCT
ejpam-3534	217	1	[	[	X
ejpam-3534	217	2	37	37	NUM
ejpam-3534	217	3	]	]	PUNCT
ejpam-3534	217	4	j.	j.	PROPN
ejpam-3534	217	5	roberts	roberts	PROPN
ejpam-3534	217	6	,	,	PUNCT
ejpam-3534	217	7	pointwise	pointwise	PROPN
ejpam-3534	217	8	finite	finite	ADJ
ejpam-3534	217	9	families	family	NOUN
ejpam-3534	217	10	of	of	ADP
ejpam-3534	217	11	mappings	mapping	NOUN
ejpam-3534	217	12	,	,	PUNCT
ejpam-3534	217	13	canadian	canadian	ADJ
ejpam-3534	217	14	mathematical	mathematical	ADJ
ejpam-3534	217	15	bulletin	bulletin	NOUN
ejpam-3534	217	16	18	18	NUM
ejpam-3534	217	17	(	(	PUNCT
ejpam-3534	217	18	1975	1975	NUM
ejpam-3534	217	19	)	)	PUNCT
ejpam-3534	217	20	,	,	PUNCT
ejpam-3534	217	21	767–768	767–768	NUM
ejpam-3534	217	22	.	.	PUNCT
ejpam-3534	218	1	references	reference	NOUN
ejpam-3534	218	2	1359	1359	NUM
ejpam-3534	219	1	[	[	X
ejpam-3534	219	2	38	38	NUM
ejpam-3534	219	3	]	]	PUNCT
ejpam-3534	219	4	j.	j.	PROPN
ejpam-3534	219	5	selgrade	selgrade	PROPN
ejpam-3534	219	6	,	,	PUNCT
ejpam-3534	219	7	mathematical	mathematical	ADJ
ejpam-3534	219	8	analysis	analysis	NOUN
ejpam-3534	219	9	of	of	ADP
ejpam-3534	219	10	a	a	DET
ejpam-3534	219	11	cellular	cellular	ADJ
ejpam-3534	219	12	control	control	NOUN
ejpam-3534	219	13	process	process	NOUN
ejpam-3534	219	14	with	with	ADP
ejpam-3534	219	15	positive	positive	ADJ
ejpam-3534	219	16	feedback	feedback	NOUN
ejpam-3534	219	17	,	,	PUNCT
ejpam-3534	219	18	siam	siam	PROPN
ejpam-3534	219	19	j.	j.	PROPN
ejpam-3534	219	20	applied	applied	PROPN
ejpam-3534	219	21	mathematics	mathematics	PROPN
ejpam-3534	219	22	36	36	NUM
ejpam-3534	219	23	(	(	PUNCT
ejpam-3534	219	24	1979	1979	NUM
ejpam-3534	219	25	)	)	PUNCT
ejpam-3534	219	26	,	,	PUNCT
ejpam-3534	219	27	219–229	219–229	NUM
ejpam-3534	219	28	.	.	PUNCT
ejpam-3534	220	1	[	[	X
ejpam-3534	220	2	39	39	NUM
ejpam-3534	220	3	]	]	PUNCT
ejpam-3534	220	4	k.	k.	PROPN
ejpam-3534	220	5	sigmund	sigmund	PROPN
ejpam-3534	220	6	,	,	PUNCT
ejpam-3534	220	7	kolmogorov	kolmogorov	ADJ
ejpam-3534	220	8	and	and	CCONJ
ejpam-3534	220	9	population	population	NOUN
ejpam-3534	220	10	dynamics	dynamic	NOUN
ejpam-3534	220	11	.	.	PUNCT
ejpam-3534	221	1	“	"	PUNCT
ejpam-3534	221	2	kolmogorov	kolmogorov	PROPN
ejpam-3534	221	3	’s	’s	PART
ejpam-3534	221	4	heritage	heritage	NOUN
ejpam-3534	221	5	in	in	ADP
ejpam-3534	221	6	mathematics	mathematic	NOUN
ejpam-3534	221	7	,	,	PUNCT
ejpam-3534	221	8	”	"	PUNCT
ejpam-3534	221	9	editors	editor	NOUN
ejpam-3534	221	10	:	:	PUNCT
ejpam-3534	221	11	e.	e.	PROPN
ejpam-3534	221	12	charpentier	charpentier	PROPN
ejpam-3534	221	13	,	,	PUNCT
ejpam-3534	221	14	a.	a.	NOUN
ejpam-3534	221	15	lesne	lesne	NOUN
ejpam-3534	221	16	,	,	PUNCT
ejpam-3534	221	17	n.	n.	PROPN
ejpam-3534	221	18	nikolski	nikolski	PROPN
ejpam-3534	221	19	.	.	PUNCT
ejpam-3534	222	1	springer	springer	PROPN
ejpam-3534	222	2	,	,	PUNCT
ejpam-3534	222	3	berlin	berlin	PROPN
ejpam-3534	222	4	(	(	PUNCT
ejpam-3534	222	5	2007	2007	NUM
ejpam-3534	222	6	)	)	PUNCT
ejpam-3534	222	7	.	.	PUNCT
ejpam-3534	223	1	[	[	X
ejpam-3534	223	2	40	40	NUM
ejpam-3534	223	3	]	]	PUNCT
ejpam-3534	223	4	s.	s.	PROPN
ejpam-3534	223	5	smale	smale	PROPN
ejpam-3534	223	6	,	,	PUNCT
ejpam-3534	223	7	on	on	ADP
ejpam-3534	223	8	the	the	DET
ejpam-3534	223	9	differential	differential	ADJ
ejpam-3534	223	10	equations	equation	NOUN
ejpam-3534	223	11	of	of	ADP
ejpam-3534	223	12	species	specie	NOUN
ejpam-3534	223	13	in	in	ADP
ejpam-3534	223	14	competition	competition	NOUN
ejpam-3534	223	15	,	,	PUNCT
ejpam-3534	223	16	j.	j.	PROPN
ejpam-3534	223	17	math	math	PROPN
ejpam-3534	223	18	.	.	PUNCT
ejpam-3534	224	1	biology	biology	NOUN
ejpam-3534	224	2	3	3	NUM
ejpam-3534	224	3	(	(	PUNCT
ejpam-3534	224	4	1976	1976	NUM
ejpam-3534	224	5	)	)	PUNCT
ejpam-3534	224	6	,	,	PUNCT
ejpam-3534	224	7	5–7	5–7	X
ejpam-3534	224	8	.	.	PUNCT
ejpam-3534	225	1	[	[	X
ejpam-3534	225	2	41	41	NUM
ejpam-3534	225	3	]	]	X
ejpam-3534	225	4	h.	h.	PROPN
ejpam-3534	225	5	l.	l.	PROPN
ejpam-3534	225	6	smith	smith	PROPN
ejpam-3534	225	7	,	,	PUNCT
ejpam-3534	225	8	“	"	PUNCT
ejpam-3534	225	9	monotone	monotone	ADJ
ejpam-3534	225	10	dynamical	dynamical	ADJ
ejpam-3534	225	11	systems	system	NOUN
ejpam-3534	225	12	,	,	PUNCT
ejpam-3534	225	13	an	an	DET
ejpam-3534	225	14	introduction	introduction	NOUN
ejpam-3534	225	15	to	to	ADP
ejpam-3534	225	16	the	the	DET
ejpam-3534	225	17	theory	theory	NOUN
ejpam-3534	225	18	of	of	ADP
ejpam-3534	225	19	competitive	competitive	ADJ
ejpam-3534	225	20	and	and	CCONJ
ejpam-3534	225	21	cooperative	cooperative	ADJ
ejpam-3534	225	22	systems	system	NOUN
ejpam-3534	225	23	,	,	PUNCT
ejpam-3534	225	24	”	"	PUNCT
ejpam-3534	225	25	math	math	NOUN
ejpam-3534	225	26	.	.	PUNCT
ejpam-3534	226	1	surveys	survey	NOUN
ejpam-3534	226	2	&	&	CCONJ
ejpam-3534	226	3	monographs	monograph	NOUN
ejpam-3534	226	4	,	,	PUNCT
ejpam-3534	226	5	no	no	INTJ
ejpam-3534	226	6	.	.	NOUN
ejpam-3534	226	7	41	41	NUM
ejpam-3534	226	8	,	,	PUNCT
ejpam-3534	226	9	american	american	PROPN
ejpam-3534	226	10	mathematical	mathematical	ADJ
ejpam-3534	226	11	society	society	NOUN
ejpam-3534	226	12	,	,	PUNCT
ejpam-3534	226	13	providence	providence	NOUN
ejpam-3534	226	14	,	,	PUNCT
ejpam-3534	226	15	rhode	rhode	NOUN
ejpam-3534	226	16	island	island	NOUN
ejpam-3534	226	17	(	(	PUNCT
ejpam-3534	226	18	1995	1995	NUM
ejpam-3534	226	19	)	)	PUNCT
ejpam-3534	226	20	.	.	PUNCT
ejpam-3534	227	1	[	[	X
ejpam-3534	227	2	42	42	NUM
ejpam-3534	227	3	]	]	X
ejpam-3534	227	4	h.	h.	PROPN
ejpam-3534	227	5	l.	l.	PROPN
ejpam-3534	227	6	smith	smith	PROPN
ejpam-3534	227	7	,	,	PUNCT
ejpam-3534	227	8	monotone	monotone	ADJ
ejpam-3534	227	9	dynamical	dynamical	ADJ
ejpam-3534	227	10	systems	system	NOUN
ejpam-3534	227	11	:	:	PUNCT
ejpam-3534	227	12	reflections	reflection	NOUN
ejpam-3534	227	13	on	on	ADP
ejpam-3534	227	14	new	new	ADJ
ejpam-3534	227	15	advances	advance	NOUN
ejpam-3534	227	16	&	&	CCONJ
ejpam-3534	227	17	applications	application	NOUN
ejpam-3534	227	18	,	,	PUNCT
ejpam-3534	227	19	discrete	discrete	ADJ
ejpam-3534	227	20	&	&	CCONJ
ejpam-3534	227	21	continuous	continuous	ADJ
ejpam-3534	227	22	dynamical	dynamical	ADJ
ejpam-3534	227	23	systems	system	NOUN
ejpam-3534	227	24	series	series	PROPN
ejpam-3534	227	25	b	b	PROPN
ejpam-3534	227	26	,	,	PUNCT
ejpam-3534	227	27	37	37	NUM
ejpam-3534	227	28	(	(	PUNCT
ejpam-3534	227	29	2017	2017	NUM
ejpam-3534	227	30	)	)	PUNCT
ejpam-3534	227	31	,	,	PUNCT
ejpam-3534	227	32	485–504	485–504	NUM
ejpam-3534	227	33	.	.	PUNCT
ejpam-3534	228	1	[	[	X
ejpam-3534	228	2	43	43	NUM
ejpam-3534	228	3	]	]	X
ejpam-3534	228	4	d.	d.	PROPN
ejpam-3534	228	5	speyer	speyer	PROPN
ejpam-3534	228	6	,	,	PUNCT
ejpam-3534	228	7	https://mathoverflow.net/questions/75777	https://mathoverflow.net/questions/75777	PROPN
ejpam-3534	228	8	(	(	PUNCT
ejpam-3534	228	9	2017	2017	NUM
ejpam-3534	228	10	)	)	PUNCT
ejpam-3534	228	11	.	.	PUNCT
ejpam-3534	229	1	[	[	X
ejpam-3534	229	2	44	44	NUM
ejpam-3534	229	3	]	]	PUNCT
ejpam-3534	229	4	p.	p.	NOUN
ejpam-3534	229	5	volkmann	volkmann	PROPN
ejpam-3534	229	6	,	,	PUNCT
ejpam-3534	229	7	gewöhnliche	gewöhnliche	X
ejpam-3534	229	8	differentialungleichungen	differentialungleichungen	PROPN
ejpam-3534	229	9	mit	mit	PROPN
ejpam-3534	229	10	quasimonoton	quasimonoton	PROPN
ejpam-3534	229	11	wachsenden	wachsenden	NOUN
ejpam-3534	229	12	funktionen	funktionen	NOUN
ejpam-3534	229	13	in	in	ADP
ejpam-3534	229	14	topologischen	topologischen	PROPN
ejpam-3534	229	15	vektorräumen	vektorräuman	NOUN
ejpam-3534	229	16	,	,	PUNCT
ejpam-3534	229	17	mathemathische	mathemathische	NOUN
ejpam-3534	229	18	zeitschrift	zeitschrift	NOUN
ejpam-3534	229	19	17	17	NUM
ejpam-3534	229	20	(	(	PUNCT
ejpam-3534	229	21	1972	1972	NUM
ejpam-3534	229	22	)	)	PUNCT
ejpam-3534	229	23	,	,	PUNCT
ejpam-3534	229	24	157–164	157–164	NUM
ejpam-3534	229	25	.	.	PUNCT
ejpam-3534	230	1	[	[	X
ejpam-3534	230	2	45	45	NUM
ejpam-3534	230	3	]	]	PUNCT
ejpam-3534	230	4	l.	l.	PROPN
ejpam-3534	230	5	feng	feng	PROPN
ejpam-3534	230	6	,	,	PUNCT
ejpam-3534	230	7	y.	y.	PROPN
ejpam-3534	230	8	wang	wang	PROPN
ejpam-3534	230	9	&	&	CCONJ
ejpam-3534	230	10	j.	j.	PROPN
ejpam-3534	230	11	wu	wu	PROPN
ejpam-3534	230	12	,	,	PUNCT
ejpam-3534	230	13	semiflows	semiflow	VERB
ejpam-3534	230	14	monotone	monotone	ADJ
ejpam-3534	230	15	with	with	ADP
ejpam-3534	230	16	respect	respect	NOUN
ejpam-3534	230	17	to	to	ADP
ejpam-3534	230	18	high	high	ADJ
ejpam-3534	230	19	-	-	PUNCT
ejpam-3534	230	20	rank	rank	NOUN
ejpam-3534	230	21	cones	cone	NOUN
ejpam-3534	230	22	on	on	ADP
ejpam-3534	230	23	a	a	DET
ejpam-3534	230	24	banach	banach	NOUN
ejpam-3534	230	25	space	space	NOUN
ejpam-3534	230	26	,	,	PUNCT
ejpam-3534	230	27	siam	siam	PROPN
ejpam-3534	230	28	j.	j.	PROPN
ejpam-3534	230	29	math	math	PROPN
ejpam-3534	230	30	.	.	PUNCT
ejpam-3534	231	1	analysis	analysis	NOUN
ejpam-3534	231	2	49	49	NUM
ejpam-3534	231	3	(	(	PUNCT
ejpam-3534	231	4	2017	2017	NUM
ejpam-3534	231	5	)	)	PUNCT
ejpam-3534	231	6	,	,	PUNCT
ejpam-3534	231	7	142–161	142–161	NUM
ejpam-3534	231	8	.	.	PUNCT
ejpam-3534	232	1	[	[	X
ejpam-3534	232	2	46	46	NUM
ejpam-3534	232	3	]	]	X
ejpam-3534	232	4	s.	s.	PROPN
ejpam-3534	232	5	walcher	walcher	PROPN
ejpam-3534	232	6	,	,	PUNCT
ejpam-3534	232	7	on	on	ADP
ejpam-3534	232	8	cooperative	cooperative	ADJ
ejpam-3534	232	9	systems	system	NOUN
ejpam-3534	232	10	with	with	ADP
ejpam-3534	232	11	respect	respect	NOUN
ejpam-3534	232	12	to	to	ADP
ejpam-3534	232	13	arbitrary	arbitrary	ADJ
ejpam-3534	232	14	orderings	ordering	NOUN
ejpam-3534	232	15	,	,	PUNCT
ejpam-3534	232	16	j.	j.	PROPN
ejpam-3534	232	17	math	math	PROPN
ejpam-3534	232	18	.	.	PUNCT
ejpam-3534	233	1	analysis	analysis	NOUN
ejpam-3534	233	2	&	&	CCONJ
ejpam-3534	233	3	applications	application	NOUN
ejpam-3534	233	4	263	263	NUM
ejpam-3534	233	5	(	(	PUNCT
ejpam-3534	233	6	2001	2001	NUM
ejpam-3534	233	7	)	)	PUNCT
ejpam-3534	233	8	,	,	PUNCT
ejpam-3534	233	9	543–554	543–554	NUM
ejpam-3534	233	10	.	.	PUNCT
ejpam-3534	234	1	[	[	X
ejpam-3534	234	2	47	47	NUM
ejpam-3534	234	3	]	]	X
ejpam-3534	234	4	h.	h.	PROPN
ejpam-3534	234	5	weyl	weyl	PROPN
ejpam-3534	234	6	,	,	PUNCT
ejpam-3534	234	7	über	über	PROPN
ejpam-3534	234	8	die	die	VERB
ejpam-3534	234	9	gibbs’sche	gibbs’sche	PROPN
ejpam-3534	234	10	erscheinung	erscheinung	PROPN
ejpam-3534	234	11	und	und	PROPN
ejpam-3534	234	12	verwandte	verwandte	PROPN
ejpam-3534	234	13	konvergenz	konvergenz	PROPN
ejpam-3534	234	14	phänomene	phänomene	PROPN
ejpam-3534	234	15	,	,	PUNCT
ejpam-3534	234	16	rendiconti	rendiconti	ADJ
ejpam-3534	234	17	del	del	X
ejpam-3534	234	18	circolo	circolo	PROPN
ejpam-3534	234	19	matematico	matematico	NOUN
ejpam-3534	234	20	di	di	NOUN
ejpam-3534	234	21	palermo	palermo	PROPN
ejpam-3534	234	22	330	330	NUM
ejpam-3534	234	23	(	(	PUNCT
ejpam-3534	234	24	1910	1910	NUM
ejpam-3534	234	25	)	)	PUNCT
ejpam-3534	234	26	,	,	PUNCT
ejpam-3534	234	27	377–407	377–407	NUM
ejpam-3534	234	28	.	.	PUNCT
ejpam-3534	235	1	[	[	X
ejpam-3534	235	2	48	48	NUM
ejpam-3534	235	3	]	]	PUNCT
ejpam-3534	235	4	h.	h.	PROPN
ejpam-3534	235	5	weyl	weyl	PROPN
ejpam-3534	235	6	,	,	PUNCT
ejpam-3534	235	7	über	über	PROPN
ejpam-3534	235	8	die	die	VERB
ejpam-3534	235	9	gleichverteilung	gleichverteilung	PROPN
ejpam-3534	235	10	von	von	PROPN
ejpam-3534	235	11	zahlen	zahlen	PROPN
ejpam-3534	235	12	mod	mod	PROPN
ejpam-3534	235	13	.	.	PROPN
ejpam-3534	235	14	eins	eins	PROPN
ejpam-3534	235	15	,	,	PUNCT
ejpam-3534	235	16	mathematischen	mathematischen	NOUN
ejpam-3534	235	17	annalen	annalen	VERB
ejpam-3534	235	18	77	77	NUM
ejpam-3534	235	19	(	(	PUNCT
ejpam-3534	235	20	1916	1916	NUM
ejpam-3534	235	21	)	)	PUNCT
ejpam-3534	235	22	,	,	PUNCT
ejpam-3534	235	23	313–352	313–352	NUM
ejpam-3534	235	24	.	.	PUNCT
ejpam-3534	236	1	[	[	X
ejpam-3534	236	2	49	49	NUM
ejpam-3534	236	3	]	]	X
ejpam-3534	236	4	c.	c.	PROPN
ejpam-3534	236	5	wilson	wilson	PROPN
ejpam-3534	236	6	,	,	PUNCT
ejpam-3534	236	7	review	review	NOUN
ejpam-3534	236	8	of	of	ADP
ejpam-3534	236	9	grant	grant	NOUN
ejpam-3534	236	10	[	[	X
ejpam-3534	236	11	11	11	NUM
ejpam-3534	236	12	]	]	PUNCT
ejpam-3534	236	13	.	.	PUNCT
ejpam-3534	236	14	speculum	speculum	NOUN
ejpam-3534	236	15	48	48	NUM
ejpam-3534	236	16	(	(	PUNCT
ejpam-3534	236	17	1973	1973	NUM
ejpam-3534	236	18	)	)	PUNCT
ejpam-3534	236	19	,	,	PUNCT
ejpam-3534	236	20	565	565	NUM
ejpam-3534	236	21	-	-	SYM
ejpam-3534	236	22	571	571	NUM
ejpam-3534	236	23	.	.	PUNCT
ejpam-3534	237	1	[	[	X
ejpam-3534	237	2	50	50	NUM
ejpam-3534	237	3	]	]	PUNCT
ejpam-3534	237	4	j.	j.	PROPN
ejpam-3534	237	5	yang	yang	PROPN
ejpam-3534	237	6	,	,	PUNCT
ejpam-3534	237	7	pointwise	pointwise	VERB
ejpam-3534	237	8	periodic	periodic	ADJ
ejpam-3534	237	9	transformation	transformation	NOUN
ejpam-3534	237	10	groups	group	NOUN
ejpam-3534	237	11	,	,	PUNCT
ejpam-3534	237	12	notices	notice	VERB
ejpam-3534	237	13	american	american	PROPN
ejpam-3534	237	14	mathematical	mathematical	PROPN
ejpam-3534	237	15	society	society	NOUN
ejpam-3534	237	16	18	18	NUM
ejpam-3534	237	17	(	(	PUNCT
ejpam-3534	237	18	1971	1971	NUM
ejpam-3534	237	19	)	)	PUNCT
ejpam-3534	237	20	,	,	PUNCT
ejpam-3534	237	21	page	page	NOUN
ejpam-3534	237	22	830	830	NUM
ejpam-3534	237	23	.	.	PUNCT