id	sid	tid	token	lemma	pos
ejpam-2022	1	1	european	european	PROPN
ejpam-2022	1	2	journal	journal	PROPN
ejpam-2022	1	3	of	of	ADP
ejpam-2022	1	4	pure	pure	ADJ
ejpam-2022	1	5	and	and	CCONJ
ejpam-2022	1	6	applied	apply	VERB
ejpam-2022	1	7	mathematics	mathematic	NOUN
ejpam-2022	1	8	vol	vol	NOUN
ejpam-2022	1	9	.	.	PUNCT
ejpam-2022	2	1	7	7	NUM
ejpam-2022	2	2	,	,	PUNCT
ejpam-2022	2	3	no	no	INTJ
ejpam-2022	2	4	.	.	NOUN
ejpam-2022	2	5	2	2	NUM
ejpam-2022	2	6	,	,	PUNCT
ejpam-2022	2	7	2014	2014	NUM
ejpam-2022	2	8	,	,	PUNCT
ejpam-2022	2	9	156	156	NUM
ejpam-2022	2	10	-	-	SYM
ejpam-2022	2	11	165	165	NUM
ejpam-2022	2	12	issn	issn	PROPN
ejpam-2022	2	13	1307	1307	NUM
ejpam-2022	2	14	-	-	SYM
ejpam-2022	2	15	5543	5543	NUM
ejpam-2022	2	16	–	–	PUNCT
ejpam-2022	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2022	2	18	competition	competition	NOUN
ejpam-2022	2	19	among	among	ADP
ejpam-2022	2	20	manufacturers	manufacturer	NOUN
ejpam-2022	2	21	in	in	ADP
ejpam-2022	2	22	technological	technological	ADJ
ejpam-2022	2	23	innovation	innovation	NOUN
ejpam-2022	2	24	in	in	ADP
ejpam-2022	2	25	the	the	DET
ejpam-2022	2	26	market	market	NOUN
ejpam-2022	2	27	with	with	ADP
ejpam-2022	2	28	delayed	delay	VERB
ejpam-2022	2	29	information	information	NOUN
ejpam-2022	2	30	jair	jair	PROPN
ejpam-2022	2	31	s.	s.	PROPN
ejpam-2022	2	32	dos	dos	PROPN
ejpam-2022	2	33	santos1,∗	santos1,∗	PROPN
ejpam-2022	2	34	,	,	PUNCT
ejpam-2022	2	35	katia	katia	PROPN
ejpam-2022	2	36	a.	a.	PROPN
ejpam-2022	2	37	g.	g.	PROPN
ejpam-2022	2	38	azevedo1	azevedo1	PROPN
ejpam-2022	2	39	,	,	PUNCT
ejpam-2022	2	40	paola	paola	PROPN
ejpam-2022	2	41	torresan	torresan	ADJ
ejpam-2022	2	42	2	2	NUM
ejpam-2022	2	43	1	1	NUM
ejpam-2022	2	44	dep	dep	NOUN
ejpam-2022	2	45	.	.	PUNCT
ejpam-2022	3	1	de	de	ADP
ejpam-2022	3	2	computação	computação	PROPN
ejpam-2022	3	3	e	e	X
ejpam-2022	3	4	matemáticaffclrp	matemáticaffclrp	ADJ
ejpam-2022	3	5	-	-	PUNCT
ejpam-2022	3	6	universidade	universidade	PROPN
ejpam-2022	3	7	de	de	PROPN
ejpam-2022	3	8	são	são	PROPN
ejpam-2022	3	9	paulo	paulo	PROPN
ejpam-2022	3	10	,	,	PUNCT
ejpam-2022	3	11	brazil	brazil	PROPN
ejpam-2022	3	12	2	2	NUM
ejpam-2022	3	13	faculdade	faculdade	NOUN
ejpam-2022	3	14	de	de	X
ejpam-2022	3	15	economia	economia	PROPN
ejpam-2022	3	16	e	e	PROPN
ejpam-2022	3	17	administração	administração	PROPN
ejpam-2022	3	18	de	de	PROPN
ejpam-2022	3	19	ribeirão	ribeirão	PROPN
ejpam-2022	3	20	preto	preto	VERB
ejpam-2022	3	21	universidade	universidade	PROPN
ejpam-2022	3	22	de	de	PROPN
ejpam-2022	3	23	são	são	PROPN
ejpam-2022	3	24	paulo	paulo	PROPN
ejpam-2022	3	25	,	,	PUNCT
ejpam-2022	3	26	brazil	brazil	PROPN
ejpam-2022	3	27	abstract	abstract	NOUN
ejpam-2022	3	28	.	.	PUNCT
ejpam-2022	4	1	the	the	DET
ejpam-2022	4	2	search	search	NOUN
ejpam-2022	4	3	for	for	ADP
ejpam-2022	4	4	information	information	NOUN
ejpam-2022	4	5	in	in	ADP
ejpam-2022	4	6	memory	memory	NOUN
ejpam-2022	4	7	of	of	ADP
ejpam-2022	4	8	technological	technological	ADJ
ejpam-2022	4	9	competition	competition	NOUN
ejpam-2022	4	10	process	process	NOUN
ejpam-2022	4	11	in	in	ADP
ejpam-2022	4	12	the	the	DET
ejpam-2022	4	13	market	market	NOUN
ejpam-2022	4	14	is	be	AUX
ejpam-2022	4	15	analysed	analyse	VERB
ejpam-2022	4	16	using	use	VERB
ejpam-2022	4	17	techniques	technique	NOUN
ejpam-2022	4	18	widespread	widespread	ADJ
ejpam-2022	4	19	in	in	ADP
ejpam-2022	4	20	biomathematics	biomathematic	NOUN
ejpam-2022	4	21	.	.	PUNCT
ejpam-2022	5	1	here	here	ADV
ejpam-2022	5	2	we	we	PRON
ejpam-2022	5	3	examined	examine	VERB
ejpam-2022	5	4	the	the	DET
ejpam-2022	5	5	effects	effect	NOUN
ejpam-2022	5	6	that	that	PRON
ejpam-2022	5	7	delayed	delay	VERB
ejpam-2022	5	8	information	information	NOUN
ejpam-2022	5	9	causes	cause	NOUN
ejpam-2022	5	10	in	in	ADP
ejpam-2022	5	11	choosing	choose	VERB
ejpam-2022	5	12	strategies	strategy	NOUN
ejpam-2022	5	13	process	process	NOUN
ejpam-2022	5	14	on	on	ADP
ejpam-2022	5	15	the	the	DET
ejpam-2022	5	16	part	part	NOUN
ejpam-2022	5	17	of	of	ADP
ejpam-2022	5	18	manufacturers	manufacturer	NOUN
ejpam-2022	5	19	to	to	PART
ejpam-2022	5	20	supplant	supplant	VERB
ejpam-2022	5	21	a	a	DET
ejpam-2022	5	22	technology	technology	NOUN
ejpam-2022	5	23	by	by	ADP
ejpam-2022	5	24	introducing	introduce	VERB
ejpam-2022	5	25	an	an	DET
ejpam-2022	5	26	alternative	alternative	ADJ
ejpam-2022	5	27	one	one	NUM
ejpam-2022	5	28	.	.	PUNCT
ejpam-2022	6	1	a	a	DET
ejpam-2022	6	2	differential	differential	ADJ
ejpam-2022	6	3	-	-	PUNCT
ejpam-2022	6	4	equation	equation	NOUN
ejpam-2022	6	5	system	system	NOUN
ejpam-2022	6	6	with	with	ADP
ejpam-2022	6	7	delays	delay	NOUN
ejpam-2022	6	8	is	be	AUX
ejpam-2022	6	9	presented	present	VERB
ejpam-2022	6	10	to	to	PART
ejpam-2022	6	11	describe	describe	VERB
ejpam-2022	6	12	the	the	DET
ejpam-2022	6	13	dynamics	dynamic	NOUN
ejpam-2022	6	14	of	of	ADP
ejpam-2022	6	15	an	an	DET
ejpam-2022	6	16	endogenous	endogenous	ADJ
ejpam-2022	6	17	model	model	NOUN
ejpam-2022	6	18	with	with	ADP
ejpam-2022	6	19	memory	memory	NOUN
ejpam-2022	6	20	.	.	PUNCT
ejpam-2022	7	1	situations	situation	NOUN
ejpam-2022	7	2	of	of	ADP
ejpam-2022	7	3	competition	competition	NOUN
ejpam-2022	7	4	in	in	ADP
ejpam-2022	7	5	which	which	PRON
ejpam-2022	7	6	the	the	DET
ejpam-2022	7	7	market	market	NOUN
ejpam-2022	7	8	has	have	VERB
ejpam-2022	7	9	several	several	ADJ
ejpam-2022	7	10	manufacturers	manufacturer	NOUN
ejpam-2022	7	11	using	use	VERB
ejpam-2022	7	12	the	the	DET
ejpam-2022	7	13	same	same	ADJ
ejpam-2022	7	14	technologies	technology	NOUN
ejpam-2022	7	15	and	and	CCONJ
ejpam-2022	7	16	are	be	AUX
ejpam-2022	7	17	in	in	ADP
ejpam-2022	7	18	competition	competition	NOUN
ejpam-2022	7	19	are	be	AUX
ejpam-2022	7	20	analyzed	analyze	VERB
ejpam-2022	7	21	.	.	PUNCT
ejpam-2022	8	1	conditions	condition	NOUN
ejpam-2022	8	2	for	for	ADP
ejpam-2022	8	3	stability	stability	NOUN
ejpam-2022	8	4	and	and	CCONJ
ejpam-2022	8	5	existence	existence	NOUN
ejpam-2022	8	6	of	of	ADP
ejpam-2022	8	7	periodic	periodic	ADJ
ejpam-2022	8	8	oscilations	oscilation	NOUN
ejpam-2022	8	9	by	by	ADP
ejpam-2022	8	10	means	mean	NOUN
ejpam-2022	8	11	of	of	ADP
ejpam-2022	8	12	hopf	hopf	ADJ
ejpam-2022	8	13	bifurcation	bifurcation	NOUN
ejpam-2022	8	14	is	be	AUX
ejpam-2022	8	15	investigated	investigate	VERB
ejpam-2022	8	16	.	.	PUNCT
ejpam-2022	9	1	2010	2010	NUM
ejpam-2022	9	2	mathematics	mathematic	NOUN
ejpam-2022	9	3	subject	subject	NOUN
ejpam-2022	9	4	classifications	classification	NOUN
ejpam-2022	9	5	:	:	PUNCT
ejpam-2022	9	6	34k15	34k15	NUM
ejpam-2022	9	7	,	,	PUNCT
ejpam-2022	9	8	34c23	34c23	NUM
ejpam-2022	9	9	,	,	PUNCT
ejpam-2022	9	10	92a15	92a15	NUM
ejpam-2022	9	11	,	,	PUNCT
ejpam-2022	9	12	90a60	90a60	NUM
ejpam-2022	9	13	,	,	PUNCT
ejpam-2022	9	14	90a16	90a16	NUM
ejpam-2022	9	15	,	,	PUNCT
ejpam-2022	9	16	91b55	91b55	NUM
ejpam-2022	9	17	key	key	ADJ
ejpam-2022	9	18	words	word	NOUN
ejpam-2022	9	19	and	and	CCONJ
ejpam-2022	9	20	phrases	phrase	NOUN
ejpam-2022	9	21	:	:	PUNCT
ejpam-2022	9	22	delay	delay	NOUN
ejpam-2022	9	23	-	-	PUNCT
ejpam-2022	9	24	differential	differential	NOUN
ejpam-2022	9	25	equation	equation	NOUN
ejpam-2022	9	26	,	,	PUNCT
ejpam-2022	9	27	endogenous	endogenous	ADJ
ejpam-2022	9	28	competition	competition	NOUN
ejpam-2022	9	29	,	,	PUNCT
ejpam-2022	9	30	stability	stability	NOUN
ejpam-2022	9	31	,	,	PUNCT
ejpam-2022	9	32	hopf	hopf	ADJ
ejpam-2022	9	33	-	-	PUNCT
ejpam-2022	9	34	bifurcations	bifurcation	NOUN
ejpam-2022	9	35	,	,	PUNCT
ejpam-2022	9	36	innovation	innovation	NOUN
ejpam-2022	9	37	technology	technology	NOUN
ejpam-2022	9	38	,	,	PUNCT
ejpam-2022	9	39	delayed	delay	VERB
ejpam-2022	9	40	information	information	NOUN
ejpam-2022	9	41	.	.	PUNCT
ejpam-2022	10	1	1	1	X
ejpam-2022	10	2	.	.	X
ejpam-2022	10	3	introduction	introduction	NOUN
ejpam-2022	10	4	the	the	DET
ejpam-2022	10	5	sharing	sharing	NOUN
ejpam-2022	10	6	of	of	ADP
ejpam-2022	10	7	the	the	DET
ejpam-2022	10	8	benefits	benefit	NOUN
ejpam-2022	10	9	generated	generate	VERB
ejpam-2022	10	10	by	by	ADP
ejpam-2022	10	11	technological	technological	ADJ
ejpam-2022	10	12	knowledge	knowledge	NOUN
ejpam-2022	10	13	involves	involve	VERB
ejpam-2022	10	14	a	a	DET
ejpam-2022	10	15	variety	variety	NOUN
ejpam-2022	10	16	of	of	ADP
ejpam-2022	10	17	flows	flow	NOUN
ejpam-2022	10	18	which	which	PRON
ejpam-2022	10	19	govern	govern	VERB
ejpam-2022	10	20	actions	action	NOUN
ejpam-2022	10	21	of	of	ADP
ejpam-2022	10	22	manufacturers	manufacturer	NOUN
ejpam-2022	10	23	and	and	CCONJ
ejpam-2022	10	24	consumers	consumer	NOUN
ejpam-2022	10	25	of	of	ADP
ejpam-2022	10	26	technological	technological	ADJ
ejpam-2022	10	27	innovation	innovation	NOUN
ejpam-2022	10	28	.	.	PUNCT
ejpam-2022	11	1	a	a	DET
ejpam-2022	11	2	number	number	NOUN
ejpam-2022	11	3	of	of	ADP
ejpam-2022	11	4	business	business	NOUN
ejpam-2022	11	5	-	-	PUNCT
ejpam-2022	11	6	cycle	cycle	NOUN
ejpam-2022	11	7	models	model	NOUN
ejpam-2022	11	8	postulating	postulate	VERB
ejpam-2022	11	9	that	that	SCONJ
ejpam-2022	11	10	both	both	ADV
ejpam-2022	11	11	,	,	PUNCT
ejpam-2022	11	12	internal	internal	ADJ
ejpam-2022	11	13	factors	factor	NOUN
ejpam-2022	11	14	in	in	ADP
ejpam-2022	11	15	market	market	NOUN
ejpam-2022	11	16	as	as	ADP
ejpam-2022	11	17	demand	demand	NOUN
ejpam-2022	11	18	instability	instability	NOUN
ejpam-2022	11	19	,	,	PUNCT
ejpam-2022	11	20	resource	resource	NOUN
ejpam-2022	11	21	avaliability	avaliability	NOUN
ejpam-2022	11	22	or	or	CCONJ
ejpam-2022	11	23	external	external	ADJ
ejpam-2022	11	24	ones	one	NOUN
ejpam-2022	11	25	,	,	PUNCT
ejpam-2022	11	26	as	as	ADP
ejpam-2022	11	27	instability	instability	NOUN
ejpam-2022	11	28	of	of	ADP
ejpam-2022	11	29	government	government	NOUN
ejpam-2022	11	30	policies	policy	NOUN
ejpam-2022	11	31	,	,	PUNCT
ejpam-2022	11	32	setbacks	setback	NOUN
ejpam-2022	11	33	in	in	ADP
ejpam-2022	11	34	environmental	environmental	ADJ
ejpam-2022	11	35	regulation	regulation	NOUN
ejpam-2022	11	36	,	,	PUNCT
ejpam-2022	11	37	influence	influence	NOUN
ejpam-2022	11	38	strongly	strongly	ADV
ejpam-2022	11	39	the	the	DET
ejpam-2022	11	40	global	global	ADJ
ejpam-2022	11	41	dynamics	dynamic	NOUN
ejpam-2022	11	42	of	of	ADP
ejpam-2022	11	43	all	all	DET
ejpam-2022	11	44	producing	produce	VERB
ejpam-2022	11	45	activities	activity	NOUN
ejpam-2022	11	46	(	(	PUNCT
ejpam-2022	11	47	see	see	VERB
ejpam-2022	11	48	[	[	X
ejpam-2022	11	49	1	1	NUM
ejpam-2022	11	50	,	,	PUNCT
ejpam-2022	11	51	2	2	NUM
ejpam-2022	11	52	,	,	PUNCT
ejpam-2022	11	53	9–11	9–11	NOUN
ejpam-2022	11	54	,	,	PUNCT
ejpam-2022	11	55	13	13	NUM
ejpam-2022	11	56	]	]	NUM
ejpam-2022	11	57	)	)	PUNCT
ejpam-2022	11	58	.	.	PUNCT
ejpam-2022	12	1	recently	recently	ADV
ejpam-2022	12	2	,	,	PUNCT
ejpam-2022	12	3	technology	technology	NOUN
ejpam-2022	12	4	planners	planner	NOUN
ejpam-2022	12	5	and	and	CCONJ
ejpam-2022	12	6	market	market	NOUN
ejpam-2022	12	7	agents	agent	NOUN
ejpam-2022	12	8	have	have	AUX
ejpam-2022	12	9	been	be	AUX
ejpam-2022	12	10	interested	interested	ADJ
ejpam-2022	12	11	in	in	ADP
ejpam-2022	12	12	models	model	NOUN
ejpam-2022	12	13	that	that	PRON
ejpam-2022	12	14	focus	focus	VERB
ejpam-2022	12	15	their	their	PRON
ejpam-2022	12	16	attention	attention	NOUN
ejpam-2022	12	17	on	on	ADP
ejpam-2022	12	18	two	two	NUM
ejpam-2022	12	19	causal	causal	ADJ
ejpam-2022	12	20	variables	variable	NOUN
ejpam-2022	12	21	,	,	PUNCT
ejpam-2022	12	22	the	the	DET
ejpam-2022	12	23	one	one	NOUN
ejpam-2022	12	24	that	that	PRON
ejpam-2022	12	25	captures	capture	VERB
ejpam-2022	12	26	the	the	DET
ejpam-2022	12	27	measure	measure	NOUN
ejpam-2022	12	28	of	of	ADP
ejpam-2022	12	29	the	the	DET
ejpam-2022	12	30	potential	potential	ADJ
ejpam-2022	12	31	quantity	quantity	NOUN
ejpam-2022	12	32	of	of	ADP
ejpam-2022	12	33	consumers	consumer	NOUN
ejpam-2022	12	34	in	in	ADP
ejpam-2022	12	35	an	an	DET
ejpam-2022	12	36	economic	economic	ADJ
ejpam-2022	12	37	system	system	NOUN
ejpam-2022	12	38	susceptible	susceptible	ADJ
ejpam-2022	12	39	to	to	PART
ejpam-2022	12	40	adopt	adopt	VERB
ejpam-2022	12	41	the	the	DET
ejpam-2022	12	42	new	new	ADJ
ejpam-2022	12	43	technology	technology	NOUN
ejpam-2022	12	44	and	and	CCONJ
ejpam-2022	12	45	another	another	PRON
ejpam-2022	12	46	that	that	PRON
ejpam-2022	12	47	captures	capture	VERB
ejpam-2022	12	48	the	the	DET
ejpam-2022	12	49	measure	measure	NOUN
ejpam-2022	12	50	of	of	ADP
ejpam-2022	12	51	quantity	quantity	NOUN
ejpam-2022	12	52	of	of	ADP
ejpam-2022	12	53	a	a	DET
ejpam-2022	12	54	product	product	NOUN
ejpam-2022	12	55	with	with	ADP
ejpam-2022	12	56	new	new	ADJ
ejpam-2022	12	57	technology	technology	NOUN
ejpam-2022	12	58	(	(	PUNCT
ejpam-2022	12	59	see	see	VERB
ejpam-2022	12	60	[	[	X
ejpam-2022	12	61	1	1	NUM
ejpam-2022	12	62	,	,	PUNCT
ejpam-2022	12	63	2	2	NUM
ejpam-2022	12	64	,	,	PUNCT
ejpam-2022	12	65	7	7	NUM
ejpam-2022	12	66	,	,	PUNCT
ejpam-2022	12	67	10	10	NUM
ejpam-2022	12	68	]	]	NUM
ejpam-2022	12	69	)	)	PUNCT
ejpam-2022	12	70	.	.	PUNCT
ejpam-2022	13	1	in	in	ADP
ejpam-2022	13	2	[	[	X
ejpam-2022	13	3	10	10	NUM
ejpam-2022	13	4	]	]	PUNCT
ejpam-2022	13	5	,	,	PUNCT
ejpam-2022	13	6	the	the	DET
ejpam-2022	13	7	authors	author	NOUN
ejpam-2022	13	8	have	have	AUX
ejpam-2022	13	9	adopted	adopt	VERB
ejpam-2022	13	10	the	the	DET
ejpam-2022	13	11	transposition	transposition	NOUN
ejpam-2022	13	12	of	of	ADP
ejpam-2022	13	13	techniques	technique	NOUN
ejpam-2022	13	14	used	use	VERB
ejpam-2022	13	15	in	in	ADP
ejpam-2022	13	16	biomathematics	biomathematic	NOUN
ejpam-2022	13	17	to	to	PART
ejpam-2022	13	18	analyze	analyze	VERB
ejpam-2022	13	19	the	the	DET
ejpam-2022	13	20	changes	change	NOUN
ejpam-2022	13	21	in	in	ADP
ejpam-2022	13	22	migration	migration	NOUN
ejpam-2022	13	23	of	of	ADP
ejpam-2022	13	24	consumers	consumer	NOUN
ejpam-2022	13	25	facing	face	VERB
ejpam-2022	13	26	new	new	ADJ
ejpam-2022	13	27	technologies	technology	NOUN
ejpam-2022	13	28	(	(	PUNCT
ejpam-2022	13	29	see	see	VERB
ejpam-2022	13	30	also	also	ADV
ejpam-2022	13	31	[	[	X
ejpam-2022	13	32	3	3	NUM
ejpam-2022	13	33	]	]	NUM
ejpam-2022	13	34	)	)	PUNCT
ejpam-2022	13	35	.	.	PUNCT
ejpam-2022	14	1	in	in	ADP
ejpam-2022	14	2	∗corresponding	∗corresponde	VERB
ejpam-2022	14	3	author	author	NOUN
ejpam-2022	14	4	.	.	PUNCT
ejpam-2022	15	1	email	email	NOUN
ejpam-2022	15	2	addresses	address	NOUN
ejpam-2022	15	3	:	:	PUNCT
ejpam-2022	15	4	jair@ffclrp.usp.br	jair@ffclrp.usp.br	PROPN
ejpam-2022	15	5	(	(	PUNCT
ejpam-2022	15	6	j.	j.	PROPN
ejpam-2022	15	7	dos	dos	PROPN
ejpam-2022	15	8	santos	santo	NOUN
ejpam-2022	15	9	)	)	PUNCT
ejpam-2022	15	10	,	,	PUNCT
ejpam-2022	15	11	pa.torresan@gmail.com	pa.torresan@gmail.com	X
ejpam-2022	15	12	(	(	PUNCT
ejpam-2022	15	13	p.	p.	NOUN
ejpam-2022	15	14	torresan	torresan	NOUN
ejpam-2022	15	15	)	)	PUNCT
ejpam-2022	15	16	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2022	16	1	156	156	NUM
ejpam-2022	17	1	c	c	X
ejpam-2022	17	2	©	©	NOUN
ejpam-2022	17	3	2014	2014	NUM
ejpam-2022	17	4	ejpam	ejpam	NOUN
ejpam-2022	17	5	all	all	DET
ejpam-2022	17	6	rights	right	NOUN
ejpam-2022	17	7	reserved	reserve	VERB
ejpam-2022	17	8	.	.	PUNCT
ejpam-2022	18	1	j.	j.	PROPN
ejpam-2022	18	2	dos	dos	PROPN
ejpam-2022	18	3	santos	santos	PROPN
ejpam-2022	18	4	,	,	PUNCT
ejpam-2022	18	5	k.	k.	PROPN
ejpam-2022	18	6	azevedo	azevedo	PROPN
ejpam-2022	18	7	and	and	CCONJ
ejpam-2022	18	8	p.	p.	PROPN
ejpam-2022	18	9	torresan	torresan	PROPN
ejpam-2022	18	10	/	/	SYM
ejpam-2022	18	11	eur	eur	PROPN
ejpam-2022	18	12	.	.	PUNCT
ejpam-2022	19	1	j.	j.	PROPN
ejpam-2022	19	2	pure	pure	PROPN
ejpam-2022	19	3	appl	appl	PROPN
ejpam-2022	19	4	.	.	PROPN
ejpam-2022	19	5	math	math	PROPN
ejpam-2022	19	6	,	,	PUNCT
ejpam-2022	19	7	7	7	NUM
ejpam-2022	19	8	(	(	PUNCT
ejpam-2022	19	9	2014	2014	NUM
ejpam-2022	19	10	)	)	PUNCT
ejpam-2022	19	11	,	,	PUNCT
ejpam-2022	19	12	156	156	NUM
ejpam-2022	19	13	-	-	SYM
ejpam-2022	19	14	165	165	NUM
ejpam-2022	19	15	157	157	NUM
ejpam-2022	19	16	their	their	PRON
ejpam-2022	19	17	model	model	NOUN
ejpam-2022	19	18	they	they	PRON
ejpam-2022	19	19	considered	consider	VERB
ejpam-2022	19	20	external	external	ADJ
ejpam-2022	19	21	and	and	CCONJ
ejpam-2022	19	22	internal	internal	ADJ
ejpam-2022	19	23	socioeconomic	socioeconomic	ADJ
ejpam-2022	19	24	factors	factor	NOUN
ejpam-2022	19	25	but	but	CCONJ
ejpam-2022	19	26	,	,	PUNCT
ejpam-2022	19	27	they	they	PRON
ejpam-2022	19	28	have	have	AUX
ejpam-2022	19	29	assume	assume	VERB
ejpam-2022	19	30	that	that	SCONJ
ejpam-2022	19	31	each	each	DET
ejpam-2022	19	32	firm	firm	NOUN
ejpam-2022	19	33	takes	take	VERB
ejpam-2022	19	34	only	only	ADV
ejpam-2022	19	35	into	into	ADP
ejpam-2022	19	36	account	account	NOUN
ejpam-2022	19	37	instantaneous	instantaneous	ADJ
ejpam-2022	19	38	information	information	NOUN
ejpam-2022	19	39	about	about	ADP
ejpam-2022	19	40	both	both	PRON
ejpam-2022	19	41	,	,	PUNCT
ejpam-2022	19	42	its	its	PRON
ejpam-2022	19	43	own	own	ADJ
ejpam-2022	19	44	technologic	technologic	ADJ
ejpam-2022	19	45	output	output	NOUN
ejpam-2022	19	46	and	and	CCONJ
ejpam-2022	19	47	the	the	DET
ejpam-2022	19	48	one	one	NUM
ejpam-2022	19	49	of	of	ADP
ejpam-2022	19	50	their	their	PRON
ejpam-2022	19	51	competitors	competitor	NOUN
ejpam-2022	19	52	.	.	PUNCT
ejpam-2022	20	1	they	they	PRON
ejpam-2022	20	2	show	show	VERB
ejpam-2022	20	3	clear	clear	ADV
ejpam-2022	20	4	-	-	PUNCT
ejpam-2022	20	5	cut	cut	VERB
ejpam-2022	20	6	results	result	NOUN
ejpam-2022	20	7	that	that	PRON
ejpam-2022	20	8	describe	describe	VERB
ejpam-2022	20	9	the	the	DET
ejpam-2022	20	10	dynamics	dynamic	NOUN
ejpam-2022	20	11	of	of	ADP
ejpam-2022	20	12	the	the	DET
ejpam-2022	20	13	competition	competition	NOUN
ejpam-2022	20	14	among	among	ADP
ejpam-2022	20	15	manufacturers	manufacturer	NOUN
ejpam-2022	20	16	producing	produce	VERB
ejpam-2022	20	17	innovation	innovation	NOUN
ejpam-2022	20	18	technology	technology	NOUN
ejpam-2022	20	19	.	.	PUNCT
ejpam-2022	21	1	huang	huang	PROPN
ejpam-2022	21	2	,	,	PUNCT
ejpam-2022	21	3	in	in	ADP
ejpam-2022	21	4	[	[	PUNCT
ejpam-2022	21	5	7	7	NUM
ejpam-2022	21	6	]	]	PUNCT
ejpam-2022	21	7	,	,	PUNCT
ejpam-2022	21	8	investigates	investigate	VERB
ejpam-2022	21	9	what	what	PRON
ejpam-2022	21	10	is	be	AUX
ejpam-2022	21	11	the	the	DET
ejpam-2022	21	12	impact	impact	NOUN
ejpam-2022	21	13	that	that	PRON
ejpam-2022	21	14	accurate	accurate	ADJ
ejpam-2022	21	15	information	information	NOUN
ejpam-2022	21	16	has	have	VERB
ejpam-2022	21	17	on	on	ADP
ejpam-2022	21	18	the	the	DET
ejpam-2022	21	19	features	feature	NOUN
ejpam-2022	21	20	on	on	ADP
ejpam-2022	21	21	the	the	DET
ejpam-2022	21	22	dynamics	dynamic	NOUN
ejpam-2022	21	23	of	of	ADP
ejpam-2022	21	24	an	an	DET
ejpam-2022	21	25	oligopolistic	oligopolistic	ADJ
ejpam-2022	21	26	market	market	NOUN
ejpam-2022	21	27	and	and	CCONJ
ejpam-2022	21	28	shows	show	VERB
ejpam-2022	21	29	how	how	SCONJ
ejpam-2022	21	30	an	an	DET
ejpam-2022	21	31	improvement	improvement	NOUN
ejpam-2022	21	32	in	in	ADP
ejpam-2022	21	33	information	information	NOUN
ejpam-2022	21	34	accuracy	accuracy	NOUN
ejpam-2022	21	35	(	(	PUNCT
ejpam-2022	21	36	or	or	CCONJ
ejpam-2022	21	37	elimination	elimination	NOUN
ejpam-2022	21	38	of	of	ADP
ejpam-2022	21	39	delayed	delay	VERB
ejpam-2022	21	40	information	information	NOUN
ejpam-2022	21	41	)	)	PUNCT
ejpam-2022	21	42	may	may	AUX
ejpam-2022	21	43	destabilize	destabilize	VERB
ejpam-2022	21	44	an	an	DET
ejpam-2022	21	45	existing	exist	VERB
ejpam-2022	21	46	stable	stable	ADJ
ejpam-2022	21	47	equilibrium	equilibrium	NOUN
ejpam-2022	21	48	.	.	PUNCT
ejpam-2022	22	1	our	our	PRON
ejpam-2022	22	2	purpose	purpose	NOUN
ejpam-2022	22	3	is	be	AUX
ejpam-2022	22	4	contributing	contribute	VERB
ejpam-2022	22	5	to	to	PART
ejpam-2022	22	6	understand	understand	VERB
ejpam-2022	22	7	the	the	DET
ejpam-2022	22	8	basic	basic	ADJ
ejpam-2022	22	9	mechanisms	mechanism	NOUN
ejpam-2022	22	10	involved	involve	VERB
ejpam-2022	22	11	in	in	ADP
ejpam-2022	22	12	the	the	DET
ejpam-2022	22	13	complexity	complexity	NOUN
ejpam-2022	22	14	of	of	ADP
ejpam-2022	22	15	competition	competition	NOUN
ejpam-2022	22	16	and	and	CCONJ
ejpam-2022	22	17	co	co	NOUN
ejpam-2022	22	18	-	-	NOUN
ejpam-2022	22	19	existence	existence	NOUN
ejpam-2022	22	20	of	of	ADP
ejpam-2022	22	21	new	new	ADJ
ejpam-2022	22	22	technologies	technology	NOUN
ejpam-2022	22	23	in	in	ADP
ejpam-2022	22	24	innovation	innovation	NOUN
ejpam-2022	22	25	technology	technology	NOUN
ejpam-2022	22	26	process	process	NOUN
ejpam-2022	22	27	.	.	PUNCT
ejpam-2022	23	1	we	we	PRON
ejpam-2022	23	2	will	will	AUX
ejpam-2022	23	3	see	see	VERB
ejpam-2022	23	4	later	later	ADV
ejpam-2022	23	5	which	which	PRON
ejpam-2022	23	6	techniques	technique	NOUN
ejpam-2022	23	7	from	from	ADP
ejpam-2022	23	8	dynamical	dynamical	ADJ
ejpam-2022	23	9	systems	system	NOUN
ejpam-2022	23	10	,	,	PUNCT
ejpam-2022	23	11	the	the	DET
ejpam-2022	23	12	memory	memory	NOUN
ejpam-2022	23	13	of	of	ADP
ejpam-2022	23	14	the	the	DET
ejpam-2022	23	15	production	production	NOUN
ejpam-2022	23	16	process	process	NOUN
ejpam-2022	23	17	can	can	AUX
ejpam-2022	23	18	contain	contain	VERB
ejpam-2022	23	19	to	to	PART
ejpam-2022	23	20	explanation	explanation	VERB
ejpam-2022	23	21	the	the	DET
ejpam-2022	23	22	fluctuations	fluctuation	NOUN
ejpam-2022	23	23	in	in	ADP
ejpam-2022	23	24	indicators	indicator	NOUN
ejpam-2022	23	25	of	of	ADP
ejpam-2022	23	26	innovation	innovation	NOUN
ejpam-2022	23	27	process	process	NOUN
ejpam-2022	23	28	technology	technology	NOUN
ejpam-2022	23	29	and	and	CCONJ
ejpam-2022	23	30	ensure	ensure	VERB
ejpam-2022	23	31	reliable	reliable	ADJ
ejpam-2022	23	32	assessment	assessment	NOUN
ejpam-2022	23	33	of	of	ADP
ejpam-2022	23	34	possible	possible	ADJ
ejpam-2022	23	35	impacts	impact	NOUN
ejpam-2022	23	36	upon	upon	SCONJ
ejpam-2022	23	37	the	the	DET
ejpam-2022	23	38	socioeconomic	socioeconomic	ADJ
ejpam-2022	23	39	factors	factor	NOUN
ejpam-2022	23	40	that	that	PRON
ejpam-2022	23	41	affect	affect	VERB
ejpam-2022	23	42	both	both	DET
ejpam-2022	23	43	demand	demand	NOUN
ejpam-2022	23	44	and	and	CCONJ
ejpam-2022	23	45	supply	supply	VERB
ejpam-2022	23	46	through	through	ADP
ejpam-2022	23	47	innovation	innovation	NOUN
ejpam-2022	23	48	(	(	PUNCT
ejpam-2022	23	49	see	see	VERB
ejpam-2022	23	50	[	[	X
ejpam-2022	23	51	2	2	NUM
ejpam-2022	23	52	,	,	PUNCT
ejpam-2022	23	53	14	14	NUM
ejpam-2022	23	54	]	]	PUNCT
ejpam-2022	23	55	)	)	PUNCT
ejpam-2022	23	56	.	.	PUNCT
ejpam-2022	24	1	form	form	VERB
ejpam-2022	24	2	the	the	DET
ejpam-2022	24	3	view	view	NOUN
ejpam-2022	24	4	point	point	NOUN
ejpam-2022	24	5	of	of	ADP
ejpam-2022	24	6	many	many	ADJ
ejpam-2022	24	7	researchers	researcher	NOUN
ejpam-2022	24	8	,	,	PUNCT
ejpam-2022	24	9	the	the	DET
ejpam-2022	24	10	production	production	NOUN
ejpam-2022	24	11	process	process	NOUN
ejpam-2022	24	12	of	of	ADP
ejpam-2022	24	13	the	the	DET
ejpam-2022	24	14	market	market	NOUN
ejpam-2022	24	15	depends	depend	VERB
ejpam-2022	24	16	endogenously	endogenously	ADV
ejpam-2022	24	17	on	on	ADP
ejpam-2022	24	18	its	its	PRON
ejpam-2022	24	19	past	past	ADJ
ejpam-2022	24	20	history	history	NOUN
ejpam-2022	24	21	and	and	CCONJ
ejpam-2022	24	22	in	in	ADP
ejpam-2022	24	23	several	several	ADJ
ejpam-2022	24	24	researches	research	NOUN
ejpam-2022	24	25	,	,	PUNCT
ejpam-2022	24	26	on	on	ADP
ejpam-2022	24	27	mathematical	mathematical	ADJ
ejpam-2022	24	28	modelling	modelling	NOUN
ejpam-2022	24	29	taking	take	VERB
ejpam-2022	24	30	into	into	ADP
ejpam-2022	24	31	account	account	NOUN
ejpam-2022	24	32	this	this	DET
ejpam-2022	24	33	problem	problem	NOUN
ejpam-2022	24	34	(	(	PUNCT
ejpam-2022	24	35	see	see	VERB
ejpam-2022	24	36	[	[	X
ejpam-2022	24	37	2	2	NUM
ejpam-2022	24	38	,	,	PUNCT
ejpam-2022	24	39	5–7	5–7	NUM
ejpam-2022	24	40	,	,	PUNCT
ejpam-2022	24	41	9	9	NUM
ejpam-2022	24	42	,	,	PUNCT
ejpam-2022	24	43	11	11	NUM
ejpam-2022	24	44	,	,	PUNCT
ejpam-2022	24	45	13	13	NUM
ejpam-2022	24	46	]	]	NUM
ejpam-2022	24	47	)	)	PUNCT
ejpam-2022	24	48	.	.	PUNCT
ejpam-2022	25	1	the	the	DET
ejpam-2022	25	2	authors	author	NOUN
ejpam-2022	25	3	in	in	ADP
ejpam-2022	25	4	[	[	X
ejpam-2022	25	5	5	5	NUM
ejpam-2022	25	6	]	]	PUNCT
ejpam-2022	25	7	construct	construct	VERB
ejpam-2022	25	8	two	two	NUM
ejpam-2022	25	9	linear	linear	ADJ
ejpam-2022	25	10	continuous	continuous	ADJ
ejpam-2022	25	11	-	-	PUNCT
ejpam-2022	25	12	time	time	NOUN
ejpam-2022	25	13	dynamic	dynamic	ADJ
ejpam-2022	25	14	oligopoly	oligopoly	ADJ
ejpam-2022	25	15	models	model	NOUN
ejpam-2022	25	16	with	with	ADP
ejpam-2022	25	17	partial	partial	ADJ
ejpam-2022	25	18	adjustment	adjustment	NOUN
ejpam-2022	25	19	towards	towards	ADP
ejpam-2022	25	20	the	the	DET
ejpam-2022	25	21	best	good	ADJ
ejpam-2022	25	22	response	response	NOUN
ejpam-2022	25	23	and	and	CCONJ
ejpam-2022	25	24	analyse	analyse	VERB
ejpam-2022	25	25	the	the	DET
ejpam-2022	25	26	effects	effect	NOUN
ejpam-2022	25	27	on	on	ADP
ejpam-2022	25	28	local	local	ADJ
ejpam-2022	25	29	stability	stability	NOUN
ejpam-2022	25	30	caused	cause	VERB
ejpam-2022	25	31	by	by	ADP
ejpam-2022	25	32	lagged	lag	VERB
ejpam-2022	25	33	information	information	NOUN
ejpam-2022	25	34	.	.	PUNCT
ejpam-2022	26	1	the	the	DET
ejpam-2022	26	2	authors	author	NOUN
ejpam-2022	26	3	,	,	PUNCT
ejpam-2022	26	4	in	in	ADP
ejpam-2022	26	5	[	[	PUNCT
ejpam-2022	26	6	6	6	NUM
ejpam-2022	26	7	]	]	PUNCT
ejpam-2022	26	8	,	,	PUNCT
ejpam-2022	26	9	establish	establish	VERB
ejpam-2022	26	10	a	a	DET
ejpam-2022	26	11	class	class	NOUN
ejpam-2022	26	12	of	of	ADP
ejpam-2022	26	13	economic	economic	ADJ
ejpam-2022	26	14	models	model	NOUN
ejpam-2022	26	15	with	with	ADP
ejpam-2022	26	16	two	two	NUM
ejpam-2022	26	17	delays	delay	NOUN
ejpam-2022	26	18	,	,	PUNCT
ejpam-2022	26	19	one	one	NUM
ejpam-2022	26	20	of	of	ADP
ejpam-2022	26	21	them	they	PRON
ejpam-2022	26	22	in	in	ADP
ejpam-2022	26	23	production	production	NOUN
ejpam-2022	26	24	process	process	NOUN
ejpam-2022	26	25	and	and	CCONJ
ejpam-2022	26	26	another	another	PRON
ejpam-2022	26	27	in	in	ADP
ejpam-2022	26	28	consumption	consumption	NOUN
ejpam-2022	26	29	.	.	PUNCT
ejpam-2022	27	1	they	they	PRON
ejpam-2022	27	2	discuss	discuss	VERB
ejpam-2022	27	3	the	the	DET
ejpam-2022	27	4	stability	stability	NOUN
ejpam-2022	27	5	of	of	ADP
ejpam-2022	27	6	the	the	DET
ejpam-2022	27	7	equilibrium	equilibrium	NOUN
ejpam-2022	27	8	point	point	NOUN
ejpam-2022	27	9	for	for	ADP
ejpam-2022	27	10	economic	economic	ADJ
ejpam-2022	27	11	system	system	NOUN
ejpam-2022	27	12	and	and	CCONJ
ejpam-2022	27	13	the	the	DET
ejpam-2022	27	14	existence	existence	NOUN
ejpam-2022	27	15	of	of	ADP
ejpam-2022	27	16	hopf	hopf	ADJ
ejpam-2022	27	17	bifurcation	bifurcation	NOUN
ejpam-2022	27	18	.	.	PUNCT
ejpam-2022	28	1	if	if	SCONJ
ejpam-2022	28	2	the	the	DET
ejpam-2022	28	3	economy	economy	NOUN
ejpam-2022	28	4	is	be	AUX
ejpam-2022	28	5	in	in	ADP
ejpam-2022	28	6	recession	recession	NOUN
ejpam-2022	28	7	the	the	DET
ejpam-2022	28	8	government	government	NOUN
ejpam-2022	28	9	uses	use	VERB
ejpam-2022	28	10	fiscal	fiscal	ADJ
ejpam-2022	28	11	mechanisms	mechanism	NOUN
ejpam-2022	28	12	or	or	CCONJ
ejpam-2022	28	13	monetary	monetary	ADJ
ejpam-2022	28	14	policy	policy	NOUN
ejpam-2022	28	15	and	and	CCONJ
ejpam-2022	28	16	increases	increase	VERB
ejpam-2022	28	17	its	its	PRON
ejpam-2022	28	18	expenditure	expenditure	NOUN
ejpam-2022	28	19	to	to	PART
ejpam-2022	28	20	stimulate	stimulate	VERB
ejpam-2022	28	21	consumption	consumption	NOUN
ejpam-2022	28	22	and	and	CCONJ
ejpam-2022	28	23	investment	investment	NOUN
ejpam-2022	28	24	(	(	PUNCT
ejpam-2022	28	25	pro	pro	ADJ
ejpam-2022	28	26	-	-	ADJ
ejpam-2022	28	27	cyclical	cyclical	ADJ
ejpam-2022	28	28	policy	policy	NOUN
ejpam-2022	28	29	,	,	PUNCT
ejpam-2022	28	30	see	see	VERB
ejpam-2022	28	31	[	[	X
ejpam-2022	28	32	12	12	NUM
ejpam-2022	28	33	]	]	NUM
ejpam-2022	28	34	)	)	PUNCT
ejpam-2022	28	35	.	.	PUNCT
ejpam-2022	29	1	takeuchi	takeuchi	PROPN
ejpam-2022	29	2	and	and	CCONJ
ejpam-2022	29	3	yamamura	yamamura	PROPN
ejpam-2022	29	4	,	,	PUNCT
ejpam-2022	29	5	in	in	ADP
ejpam-2022	29	6	[	[	PUNCT
ejpam-2022	29	7	11	11	NUM
ejpam-2022	29	8	]	]	PUNCT
ejpam-2022	29	9	,	,	PUNCT
ejpam-2022	29	10	investigate	investigate	VERB
ejpam-2022	29	11	how	how	SCONJ
ejpam-2022	29	12	the	the	DET
ejpam-2022	29	13	fiscal	fiscal	ADJ
ejpam-2022	29	14	policy	policy	NOUN
ejpam-2022	29	15	with	with	ADP
ejpam-2022	29	16	a	a	DET
ejpam-2022	29	17	time	time	NOUN
ejpam-2022	29	18	delay	delay	NOUN
ejpam-2022	29	19	affects	affect	VERB
ejpam-2022	29	20	stability	stability	NOUN
ejpam-2022	29	21	in	in	ADP
ejpam-2022	29	22	an	an	DET
ejpam-2022	29	23	economy	economy	NOUN
ejpam-2022	29	24	.	.	PUNCT
ejpam-2022	30	1	they	they	PRON
ejpam-2022	30	2	assume	assume	VERB
ejpam-2022	30	3	that	that	SCONJ
ejpam-2022	30	4	there	there	PRON
ejpam-2022	30	5	exists	exist	VERB
ejpam-2022	30	6	a	a	DET
ejpam-2022	30	7	time	time	NOUN
ejpam-2022	30	8	delay	delay	NOUN
ejpam-2022	30	9	between	between	ADP
ejpam-2022	30	10	policy	policy	NOUN
ejpam-2022	30	11	making	make	VERB
ejpam-2022	30	12	to	to	PART
ejpam-2022	30	13	adjust	adjust	VERB
ejpam-2022	30	14	the	the	DET
ejpam-2022	30	15	economy	economy	NOUN
ejpam-2022	30	16	and	and	CCONJ
ejpam-2022	30	17	its	its	PRON
ejpam-2022	30	18	implementation	implementation	NOUN
ejpam-2022	30	19	which	which	PRON
ejpam-2022	30	20	is	be	AUX
ejpam-2022	30	21	divided	divide	VERB
ejpam-2022	30	22	into	into	ADP
ejpam-2022	30	23	two	two	NUM
ejpam-2022	30	24	factors	factor	NOUN
ejpam-2022	30	25	:	:	PUNCT
ejpam-2022	30	26	recognizing	recognize	VERB
ejpam-2022	30	27	and	and	CCONJ
ejpam-2022	30	28	decision	decision	NOUN
ejpam-2022	30	29	making	making	NOUN
ejpam-2022	30	30	,	,	PUNCT
ejpam-2022	30	31	which	which	PRON
ejpam-2022	30	32	are	be	AUX
ejpam-2022	30	33	lagged	lag	VERB
ejpam-2022	30	34	actions	action	NOUN
ejpam-2022	30	35	.	.	PUNCT
ejpam-2022	31	1	having	have	VERB
ejpam-2022	31	2	to	to	PART
ejpam-2022	31	3	control	control	VERB
ejpam-2022	31	4	the	the	DET
ejpam-2022	31	5	uncertainty	uncertainty	NOUN
ejpam-2022	31	6	effect	effect	VERB
ejpam-2022	31	7	about	about	ADP
ejpam-2022	31	8	adoption	adoption	NOUN
ejpam-2022	31	9	of	of	ADP
ejpam-2022	31	10	new	new	ADJ
ejpam-2022	31	11	technology	technology	NOUN
ejpam-2022	31	12	,	,	PUNCT
ejpam-2022	31	13	individual	individual	ADJ
ejpam-2022	31	14	manufacturer	manufacturer	NOUN
ejpam-2022	31	15	attempt	attempt	VERB
ejpam-2022	31	16	to	to	PART
ejpam-2022	31	17	delay	delay	VERB
ejpam-2022	31	18	decision	decision	NOUN
ejpam-2022	31	19	making	making	NOUN
ejpam-2022	31	20	until	until	SCONJ
ejpam-2022	31	21	they	they	PRON
ejpam-2022	31	22	receive	receive	VERB
ejpam-2022	31	23	more	more	ADV
ejpam-2022	31	24	accurate	accurate	ADJ
ejpam-2022	31	25	information	information	NOUN
ejpam-2022	31	26	to	to	PART
ejpam-2022	31	27	minimize	minimize	VERB
ejpam-2022	31	28	uncertainty	uncertainty	NOUN
ejpam-2022	31	29	and	and	CCONJ
ejpam-2022	31	30	to	to	PART
ejpam-2022	31	31	ensure	ensure	VERB
ejpam-2022	31	32	improvement	improvement	NOUN
ejpam-2022	31	33	in	in	ADP
ejpam-2022	31	34	performance	performance	NOUN
ejpam-2022	31	35	.	.	PUNCT
ejpam-2022	32	1	so	so	ADV
ejpam-2022	32	2	,	,	PUNCT
ejpam-2022	32	3	in	in	ADP
ejpam-2022	32	4	their	their	PRON
ejpam-2022	32	5	decisions	decision	NOUN
ejpam-2022	32	6	technology	technology	NOUN
ejpam-2022	32	7	planners	planner	NOUN
ejpam-2022	32	8	and	and	CCONJ
ejpam-2022	32	9	market	market	NOUN
ejpam-2022	32	10	agents	agent	NOUN
ejpam-2022	32	11	are	be	AUX
ejpam-2022	32	12	always	always	ADV
ejpam-2022	32	13	concerned	concerned	ADJ
ejpam-2022	32	14	about	about	ADP
ejpam-2022	32	15	the	the	DET
ejpam-2022	32	16	existence	existence	NOUN
ejpam-2022	32	17	of	of	ADP
ejpam-2022	32	18	time	time	NOUN
ejpam-2022	32	19	delay	delay	NOUN
ejpam-2022	32	20	between	between	ADP
ejpam-2022	32	21	the	the	DET
ejpam-2022	32	22	moment	moment	NOUN
ejpam-2022	32	23	when	when	SCONJ
ejpam-2022	32	24	it	it	PRON
ejpam-2022	32	25	is	be	AUX
ejpam-2022	32	26	necessary	necessary	ADJ
ejpam-2022	32	27	to	to	PART
ejpam-2022	32	28	act	act	VERB
ejpam-2022	32	29	and	and	CCONJ
ejpam-2022	32	30	the	the	DET
ejpam-2022	32	31	moment	moment	NOUN
ejpam-2022	32	32	of	of	ADP
ejpam-2022	32	33	recognizing	recognize	VERB
ejpam-2022	32	34	the	the	DET
ejpam-2022	32	35	necessity	necessity	NOUN
ejpam-2022	32	36	of	of	ADP
ejpam-2022	32	37	action	action	NOUN
ejpam-2022	32	38	.	.	PUNCT
ejpam-2022	33	1	we	we	PRON
ejpam-2022	33	2	assume	assume	VERB
ejpam-2022	33	3	that	that	SCONJ
ejpam-2022	33	4	they	they	PRON
ejpam-2022	33	5	act	act	VERB
ejpam-2022	33	6	consciously	consciously	ADV
ejpam-2022	33	7	and	and	CCONJ
ejpam-2022	33	8	that	that	SCONJ
ejpam-2022	33	9	there	there	PRON
ejpam-2022	33	10	are	be	VERB
ejpam-2022	33	11	lags	lag	NOUN
ejpam-2022	33	12	between	between	ADP
ejpam-2022	33	13	the	the	DET
ejpam-2022	33	14	time	time	NOUN
ejpam-2022	33	15	that	that	PRON
ejpam-2022	33	16	information	information	NOUN
ejpam-2022	33	17	are	be	AUX
ejpam-2022	33	18	obtained	obtain	VERB
ejpam-2022	33	19	and	and	CCONJ
ejpam-2022	33	20	the	the	DET
ejpam-2022	33	21	time	time	NOUN
ejpam-2022	33	22	when	when	SCONJ
ejpam-2022	33	23	decisions	decision	NOUN
ejpam-2022	33	24	related	relate	VERB
ejpam-2022	33	25	to	to	ADP
ejpam-2022	33	26	it	it	PRON
ejpam-2022	33	27	are	be	AUX
ejpam-2022	33	28	implemented	implement	VERB
ejpam-2022	33	29	.	.	PUNCT
ejpam-2022	34	1	we	we	PRON
ejpam-2022	34	2	propose	propose	VERB
ejpam-2022	34	3	a	a	DET
ejpam-2022	34	4	similar	similar	ADJ
ejpam-2022	34	5	model	model	NOUN
ejpam-2022	34	6	of	of	ADP
ejpam-2022	34	7	endogenous	endogenous	ADJ
ejpam-2022	34	8	competition	competition	NOUN
ejpam-2022	34	9	as	as	SCONJ
ejpam-2022	34	10	presented	present	VERB
ejpam-2022	34	11	by	by	ADP
ejpam-2022	34	12	the	the	DET
ejpam-2022	34	13	authors	author	NOUN
ejpam-2022	34	14	,	,	PUNCT
ejpam-2022	34	15	in	in	ADP
ejpam-2022	34	16	[	[	X
ejpam-2022	34	17	10	10	NUM
ejpam-2022	34	18	]	]	PUNCT
ejpam-2022	34	19	.	.	PUNCT
ejpam-2022	35	1	let	let	AUX
ejpam-2022	35	2	x(t	x(t	PROPN
ejpam-2022	35	3	)	)	PUNCT
ejpam-2022	35	4	be	be	VERB
ejpam-2022	35	5	the	the	DET
ejpam-2022	35	6	potential	potential	ADJ
ejpam-2022	35	7	quantity	quantity	NOUN
ejpam-2022	35	8	of	of	ADP
ejpam-2022	35	9	consumers	consumer	NOUN
ejpam-2022	35	10	within	within	ADP
ejpam-2022	35	11	an	an	DET
ejpam-2022	35	12	economic	economic	ADJ
ejpam-2022	35	13	system	system	NOUN
ejpam-2022	35	14	at	at	ADP
ejpam-2022	35	15	instant	instant	ADJ
ejpam-2022	35	16	t.	t.	NOUN
ejpam-2022	35	17	let	let	VERB
ejpam-2022	35	18	us	we	PRON
ejpam-2022	35	19	denote	denote	VERB
ejpam-2022	35	20	by	by	ADP
ejpam-2022	35	21	y(t	y(t	PROPN
ejpam-2022	35	22	)	)	PUNCT
ejpam-2022	35	23	the	the	DET
ejpam-2022	35	24	quantity	quantity	NOUN
ejpam-2022	35	25	of	of	ADP
ejpam-2022	35	26	a	a	DET
ejpam-2022	35	27	product	product	NOUN
ejpam-2022	35	28	with	with	ADP
ejpam-2022	35	29	new	new	ADJ
ejpam-2022	35	30	technology	technology	NOUN
ejpam-2022	35	31	put	put	VERB
ejpam-2022	35	32	on	on	ADP
ejpam-2022	35	33	the	the	DET
ejpam-2022	35	34	market	market	NOUN
ejpam-2022	35	35	at	at	ADP
ejpam-2022	35	36	instant	instant	ADJ
ejpam-2022	35	37	t.	t.	NOUN
ejpam-2022	35	38	we	we	PRON
ejpam-2022	35	39	assume	assume	VERB
ejpam-2022	35	40	that	that	SCONJ
ejpam-2022	35	41	the	the	DET
ejpam-2022	35	42	evolution	evolution	NOUN
ejpam-2022	35	43	rate	rate	NOUN
ejpam-2022	35	44	of	of	ADP
ejpam-2022	35	45	the	the	DET
ejpam-2022	35	46	quantity	quantity	NOUN
ejpam-2022	35	47	of	of	ADP
ejpam-2022	35	48	consumers	consumer	NOUN
ejpam-2022	35	49	in	in	ADP
ejpam-2022	35	50	an	an	DET
ejpam-2022	35	51	economic	economic	ADJ
ejpam-2022	35	52	system	system	NOUN
ejpam-2022	35	53	susceptible	susceptible	ADJ
ejpam-2022	35	54	to	to	PART
ejpam-2022	35	55	adopt	adopt	VERB
ejpam-2022	35	56	the	the	DET
ejpam-2022	35	57	new	new	ADJ
ejpam-2022	35	58	technology	technology	NOUN
ejpam-2022	35	59	increases	increase	VERB
ejpam-2022	35	60	with	with	ADP
ejpam-2022	35	61	the	the	DET
ejpam-2022	35	62	function	function	NOUN
ejpam-2022	35	63	g	g	NOUN
ejpam-2022	35	64	and	and	CCONJ
ejpam-2022	35	65	decreases	decrease	VERB
ejpam-2022	35	66	with	with	ADP
ejpam-2022	35	67	the	the	DET
ejpam-2022	35	68	sum	sum	NOUN
ejpam-2022	35	69	p0	p0	NOUN
ejpam-2022	35	70	and	and	CCONJ
ejpam-2022	35	71	p1	p1	PROPN
ejpam-2022	35	72	.	.	PUNCT
ejpam-2022	36	1	the	the	DET
ejpam-2022	36	2	function	function	NOUN
ejpam-2022	36	3	p0	p0	NOUN
ejpam-2022	36	4	represents	represent	VERB
ejpam-2022	36	5	the	the	DET
ejpam-2022	36	6	functional	functional	ADJ
ejpam-2022	36	7	response	response	NOUN
ejpam-2022	36	8	rate	rate	NOUN
ejpam-2022	36	9	of	of	ADP
ejpam-2022	36	10	manufacturers	manufacturer	NOUN
ejpam-2022	36	11	with	with	ADP
ejpam-2022	36	12	time	time	NOUN
ejpam-2022	36	13	delay	delay	NOUN
ejpam-2022	36	14	incorporated	incorporate	VERB
ejpam-2022	36	15	.	.	PUNCT
ejpam-2022	37	1	the	the	DET
ejpam-2022	37	2	function	function	NOUN
ejpam-2022	37	3	p1	p1	NOUN
ejpam-2022	37	4	represents	represent	VERB
ejpam-2022	37	5	the	the	DET
ejpam-2022	37	6	instantaneous	instantaneous	ADJ
ejpam-2022	37	7	functional	functional	ADJ
ejpam-2022	37	8	response	response	NOUN
ejpam-2022	37	9	rate	rate	NOUN
ejpam-2022	37	10	of	of	ADP
ejpam-2022	37	11	manufacturers	manufacturer	NOUN
ejpam-2022	37	12	.	.	PUNCT
ejpam-2022	38	1	the	the	DET
ejpam-2022	38	2	function	function	NOUN
ejpam-2022	38	3	s+	s+	PUNCT
ejpam-2022	38	4	q(y	q(y	PROPN
ejpam-2022	38	5	)	)	PUNCT
ejpam-2022	38	6	expresses	express	VERB
ejpam-2022	38	7	the	the	DET
ejpam-2022	38	8	rate	rate	NOUN
ejpam-2022	38	9	of	of	ADP
ejpam-2022	38	10	specific	specific	ADJ
ejpam-2022	38	11	extinction	extinction	NOUN
ejpam-2022	38	12	of	of	ADP
ejpam-2022	38	13	the	the	DET
ejpam-2022	38	14	manufacturers	manufacturer	NOUN
ejpam-2022	38	15	due	due	ADP
ejpam-2022	38	16	to	to	ADP
ejpam-2022	38	17	intraspecific	intraspecific	NOUN
ejpam-2022	38	18	competition	competition	NOUN
ejpam-2022	38	19	among	among	ADP
ejpam-2022	38	20	them	they	PRON
ejpam-2022	38	21	.	.	PUNCT
ejpam-2022	39	1	the	the	DET
ejpam-2022	39	2	growth	growth	NOUN
ejpam-2022	39	3	rate	rate	NOUN
ejpam-2022	39	4	of	of	ADP
ejpam-2022	39	5	the	the	DET
ejpam-2022	39	6	j.	j.	PROPN
ejpam-2022	39	7	dos	dos	PROPN
ejpam-2022	39	8	santos	santos	PROPN
ejpam-2022	39	9	,	,	PUNCT
ejpam-2022	39	10	k.	k.	PROPN
ejpam-2022	39	11	azevedo	azevedo	PROPN
ejpam-2022	39	12	and	and	CCONJ
ejpam-2022	39	13	p.	p.	PROPN
ejpam-2022	39	14	torresan	torresan	PROPN
ejpam-2022	39	15	/	/	SYM
ejpam-2022	39	16	eur	eur	PROPN
ejpam-2022	39	17	.	.	PUNCT
ejpam-2022	40	1	j.	j.	PROPN
ejpam-2022	40	2	pure	pure	PROPN
ejpam-2022	40	3	appl	appl	PROPN
ejpam-2022	40	4	.	.	PROPN
ejpam-2022	40	5	math	math	PROPN
ejpam-2022	40	6	,	,	PUNCT
ejpam-2022	40	7	7	7	NUM
ejpam-2022	40	8	(	(	PUNCT
ejpam-2022	40	9	2014	2014	NUM
ejpam-2022	40	10	)	)	PUNCT
ejpam-2022	40	11	,	,	PUNCT
ejpam-2022	40	12	156	156	NUM
ejpam-2022	40	13	-	-	SYM
ejpam-2022	40	14	165	165	NUM
ejpam-2022	40	15	158	158	NUM
ejpam-2022	40	16	product	product	NOUN
ejpam-2022	40	17	with	with	ADP
ejpam-2022	40	18	new	new	ADJ
ejpam-2022	40	19	technology	technology	NOUN
ejpam-2022	40	20	depends	depend	VERB
ejpam-2022	40	21	on	on	ADP
ejpam-2022	40	22	past	past	ADJ
ejpam-2022	40	23	history	history	NOUN
ejpam-2022	40	24	with	with	ADP
ejpam-2022	40	25	p0	p0	NOUN
ejpam-2022	40	26	and	and	CCONJ
ejpam-2022	40	27	on	on	ADP
ejpam-2022	40	28	the	the	DET
ejpam-2022	40	29	current	current	ADJ
ejpam-2022	40	30	moment	moment	NOUN
ejpam-2022	40	31	at	at	ADP
ejpam-2022	40	32	p1	p1	PROPN
ejpam-2022	40	33	.	.	PUNCT
ejpam-2022	41	1	ẋ(t	ẋ(t	NOUN
ejpam-2022	41	2	)	)	PUNCT
ejpam-2022	42	1	=	=	SYM
ejpam-2022	42	2	x(t)g(x(t))−	x(t)g(x(t))−	ADJ
ejpam-2022	42	3	ym(t)[p0(x(t	ym(t)[p0(x(t	PROPN
ejpam-2022	42	4	−σ	−σ	NOUN
ejpam-2022	42	5	)	)	PUNCT
ejpam-2022	43	1	+	+	CCONJ
ejpam-2022	43	2	p1(x(t	p1(x(t	NOUN
ejpam-2022	43	3	)	)	PUNCT
ejpam-2022	43	4	)	)	PUNCT
ejpam-2022	43	5	]	]	PUNCT
ejpam-2022	44	1	ẏ(t	ẏ(t	X
ejpam-2022	44	2	)	)	PUNCT
ejpam-2022	44	3	=	=	NOUN
ejpam-2022	44	4	y(t){−s−	y(t){−s−	X
ejpam-2022	44	5	q(y	q(y	PROPN
ejpam-2022	44	6	)	)	PUNCT
ejpam-2022	44	7	+	+	CCONJ
ejpam-2022	44	8	γ[p0(x(t	γ[p0(x(t	PROPN
ejpam-2022	44	9	−	−	PRON
ejpam-2022	44	10	r	r	NOUN
ejpam-2022	44	11	)	)	PUNCT
ejpam-2022	44	12	)	)	PUNCT
ejpam-2022	45	1	+	+	CCONJ
ejpam-2022	45	2	p1(x(t))]y	p1(x(t))]y	PROPN
ejpam-2022	45	3	m−1(t	m−1(t	ADJ
ejpam-2022	45	4	)	)	PUNCT
ejpam-2022	45	5	}	}	PUNCT
ejpam-2022	45	6	.	.	PUNCT
ejpam-2022	46	1	(	(	PUNCT
ejpam-2022	46	2	1	1	X
ejpam-2022	46	3	)	)	PUNCT
ejpam-2022	46	4	where	where	SCONJ
ejpam-2022	46	5	g	g	NOUN
ejpam-2022	46	6	,	,	PUNCT
ejpam-2022	46	7	p0	p0	NOUN
ejpam-2022	46	8	,	,	PUNCT
ejpam-2022	46	9	p1	p1	NOUN
ejpam-2022	46	10	,	,	PUNCT
ejpam-2022	46	11	q	q	PROPN
ejpam-2022	46	12	∈	∈	PROPN
ejpam-2022	46	13	c1([0,∞	c1([0,∞	NOUN
ejpam-2022	46	14	)	)	PUNCT
ejpam-2022	46	15	,	,	PUNCT
ejpam-2022	46	16	r	r	NOUN
ejpam-2022	46	17	)	)	PUNCT
ejpam-2022	46	18	,	,	PUNCT
ejpam-2022	46	19	σ	σ	X
ejpam-2022	46	20	>	>	X
ejpam-2022	46	21	0	0	NUM
ejpam-2022	46	22	,	,	PUNCT
ejpam-2022	46	23	r	r	NOUN
ejpam-2022	46	24	>	>	X
ejpam-2022	46	25	0	0	NUM
ejpam-2022	46	26	and	and	CCONJ
ejpam-2022	46	27	m	m	PROPN
ejpam-2022	46	28	≥	≥	NOUN
ejpam-2022	46	29	1	1	NUM
ejpam-2022	46	30	is	be	AUX
ejpam-2022	46	31	the	the	DET
ejpam-2022	46	32	constant	constant	ADJ
ejpam-2022	46	33	of	of	ADP
ejpam-2022	46	34	mutual	mutual	ADJ
ejpam-2022	46	35	interference	interference	NOUN
ejpam-2022	46	36	.	.	PUNCT
ejpam-2022	47	1	assumption	assumption	NOUN
ejpam-2022	47	2	1	1	X
ejpam-2022	47	3	.	.	PUNCT
ejpam-2022	48	1	let	let	AUX
ejpam-2022	48	2	be	be	AUX
ejpam-2022	48	3	p(u	p(u	ADJ
ejpam-2022	48	4	)	)	PUNCT
ejpam-2022	49	1	=	=	PUNCT
ejpam-2022	50	1	p0(u	p0(u	NUM
ejpam-2022	50	2	)	)	PUNCT
ejpam-2022	50	3	+	+	X
ejpam-2022	50	4	p1(u	p1(u	NOUN
ejpam-2022	50	5	)	)	PUNCT
ejpam-2022	50	6	.	.	PUNCT
ejpam-2022	51	1	assume	assume	VERB
ejpam-2022	51	2	that	that	SCONJ
ejpam-2022	51	3	p(0	p(0	NOUN
ejpam-2022	51	4	)	)	PUNCT
ejpam-2022	51	5	=	=	SYM
ejpam-2022	51	6	0	0	NUM
ejpam-2022	51	7	,	,	PUNCT
ejpam-2022	51	8	q(0	q(0	PROPN
ejpam-2022	51	9	)	)	PUNCT
ejpam-2022	51	10	=	=	SYM
ejpam-2022	51	11	0	0	NUM
ejpam-2022	51	12	,	,	PUNCT
ejpam-2022	51	13	and	and	CCONJ
ejpam-2022	51	14	p′(u	p′(u	PROPN
ejpam-2022	51	15	)	)	PUNCT
ejpam-2022	51	16	>	>	X
ejpam-2022	51	17	0	0	NUM
ejpam-2022	51	18	,	,	PUNCT
ejpam-2022	51	19	q′(u	q′(u	PROPN
ejpam-2022	51	20	)	)	PUNCT
ejpam-2022	51	21	>	>	X
ejpam-2022	51	22	0	0	NUM
ejpam-2022	51	23	,	,	PUNCT
ejpam-2022	51	24	for	for	ADP
ejpam-2022	51	25	u≥	u≥	PROPN
ejpam-2022	51	26	0	0	NUM
ejpam-2022	51	27	.	.	PUNCT
ejpam-2022	52	1	moreover	moreover	ADV
ejpam-2022	52	2	,	,	PUNCT
ejpam-2022	52	3	there	there	PRON
ejpam-2022	52	4	is	be	VERB
ejpam-2022	52	5	u0	u0	ADJ
ejpam-2022	52	6	>	>	X
ejpam-2022	52	7	0	0	NUM
ejpam-2022	52	8	such	such	ADJ
ejpam-2022	52	9	that	that	DET
ejpam-2022	52	10	g(u0	g(u0	NOUN
ejpam-2022	52	11	)	)	PUNCT
ejpam-2022	52	12	=	=	SYM
ejpam-2022	52	13	0	0	NUM
ejpam-2022	52	14	,	,	PUNCT
ejpam-2022	52	15	g(0)u	g(0)u	PROPN
ejpam-2022	52	16	>	>	X
ejpam-2022	52	17	0	0	NUM
ejpam-2022	52	18	,	,	PUNCT
ejpam-2022	52	19	limu→0(ug	limu→0(ug	ADJ
ejpam-2022	52	20	′(u	′(u	NOUN
ejpam-2022	52	21	)	)	PUNCT
ejpam-2022	52	22	+	+	CCONJ
ejpam-2022	52	23	g(u	g(u	PROPN
ejpam-2022	52	24	)	)	PUNCT
ejpam-2022	52	25	)	)	PUNCT
ejpam-2022	52	26	>	>	X
ejpam-2022	53	1	0	0	NUM
ejpam-2022	53	2	,	,	PUNCT
ejpam-2022	53	3	g	g	NOUN
ejpam-2022	53	4	′(u	′(u	NOUN
ejpam-2022	53	5	)	)	PUNCT
ejpam-2022	53	6	<	<	X
ejpam-2022	53	7	0	0	NUM
ejpam-2022	53	8	for	for	ADP
ejpam-2022	53	9	u	u	PROPN
ejpam-2022	53	10	∈	∈	PROPN
ejpam-2022	54	1	[	[	X
ejpam-2022	54	2	0;∞	0;∞	NOUN
ejpam-2022	54	3	)	)	PUNCT
ejpam-2022	54	4	.	.	PUNCT
ejpam-2022	55	1	the	the	DET
ejpam-2022	55	2	same	same	ADJ
ejpam-2022	55	3	way	way	NOUN
ejpam-2022	55	4	[	[	X
ejpam-2022	55	5	10	10	NUM
ejpam-2022	55	6	]	]	PUNCT
ejpam-2022	55	7	,	,	PUNCT
ejpam-2022	55	8	it	it	PRON
ejpam-2022	55	9	follows	follow	VERB
ejpam-2022	55	10	from	from	ADP
ejpam-2022	55	11	assumption	assumption	NOUN
ejpam-2022	55	12	1	1	NUM
ejpam-2022	55	13	that	that	SCONJ
ejpam-2022	55	14	there	there	PRON
ejpam-2022	55	15	are	be	VERB
ejpam-2022	55	16	x0	x0	PROPN
ejpam-2022	55	17	>	>	X
ejpam-2022	55	18	0	0	PUNCT
ejpam-2022	56	1	and	and	CCONJ
ejpam-2022	56	2	y0	y0	PRON
ejpam-2022	56	3	>	>	X
ejpam-2022	56	4	0	0	PUNCT
ejpam-2022	57	1	so	so	SCONJ
ejpam-2022	57	2	that	that	SCONJ
ejpam-2022	57	3	p0	p0	NOUN
ejpam-2022	57	4	=	=	SYM
ejpam-2022	57	5	(	(	PUNCT
ejpam-2022	57	6	x0	x0	PROPN
ejpam-2022	57	7	,	,	PUNCT
ejpam-2022	57	8	y0	y0	PROPN
ejpam-2022	57	9	)	)	PUNCT
ejpam-2022	57	10	is	be	AUX
ejpam-2022	57	11	the	the	DET
ejpam-2022	57	12	unique	unique	ADJ
ejpam-2022	57	13	positive	positive	ADJ
ejpam-2022	57	14	equilibrium	equilibrium	NOUN
ejpam-2022	57	15	point	point	NOUN
ejpam-2022	57	16	of	of	ADP
ejpam-2022	57	17	(	(	PUNCT
ejpam-2022	57	18	1	1	NUM
ejpam-2022	57	19	)	)	PUNCT
ejpam-2022	57	20	,	,	PUNCT
ejpam-2022	57	21	where	where	SCONJ
ejpam-2022	57	22	y0	y0	PROPN
ejpam-2022	57	23	=	=	SYM
ejpam-2022	57	24	�	�	PROPN
ejpam-2022	57	25	x0	x0	PROPN
ejpam-2022	57	26	g(x0	g(x0	NOUN
ejpam-2022	57	27	)	)	PUNCT
ejpam-2022	57	28	p(x0	p(x0	NOUN
ejpam-2022	57	29	)	)	PUNCT
ejpam-2022	57	30	�	�	PROPN
ejpam-2022	57	31	1	1	NUM
ejpam-2022	57	32	m	m	NOUN
ejpam-2022	57	33	and	and	CCONJ
ejpam-2022	57	34	p	p	NOUN
ejpam-2022	57	35	is	be	AUX
ejpam-2022	57	36	defined	define	VERB
ejpam-2022	57	37	in	in	ADP
ejpam-2022	57	38	assumption	assumption	NOUN
ejpam-2022	57	39	1	1	NUM
ejpam-2022	57	40	.	.	PUNCT
ejpam-2022	57	41	assumption	assumption	NOUN
ejpam-2022	57	42	2	2	X
ejpam-2022	57	43	.	.	X
ejpam-2022	58	1	let	let	AUX
ejpam-2022	58	2	(	(	PUNCT
ejpam-2022	58	3	x0	x0	PROPN
ejpam-2022	58	4	,	,	PUNCT
ejpam-2022	58	5	y0	y0	PROPN
ejpam-2022	58	6	)	)	PUNCT
ejpam-2022	58	7	be	be	VERB
ejpam-2022	58	8	the	the	DET
ejpam-2022	58	9	positive	positive	ADJ
ejpam-2022	58	10	equilibrium	equilibrium	NOUN
ejpam-2022	58	11	point	point	NOUN
ejpam-2022	58	12	of	of	ADP
ejpam-2022	58	13	the	the	DET
ejpam-2022	58	14	system	system	NOUN
ejpam-2022	58	15	(	(	PUNCT
ejpam-2022	58	16	1	1	NUM
ejpam-2022	58	17	)	)	PUNCT
ejpam-2022	58	18	.	.	PUNCT
ejpam-2022	59	1	le	le	PROPN
ejpam-2022	60	1	us	we	PRON
ejpam-2022	60	2	assume	assume	VERB
ejpam-2022	60	3	that	that	SCONJ
ejpam-2022	60	4	a	a	X
ejpam-2022	60	5	)	)	PUNCT
ejpam-2022	60	6	x0	x0	PROPN
ejpam-2022	60	7	g(x0	g(x0	NOUN
ejpam-2022	60	8	)	)	PUNCT
ejpam-2022	60	9	=	=	PUNCT
ejpam-2022	60	10	ym	ym	NOUN
ejpam-2022	60	11	0	0	NUM
ejpam-2022	60	12	p(x0	p(x0	NOUN
ejpam-2022	60	13	)	)	PUNCT
ejpam-2022	60	14	=	=	PUNCT
ejpam-2022	61	1	y0(s+	y0(s+	PROPN
ejpam-2022	61	2	q(y0	q(y0	NOUN
ejpam-2022	61	3	)	)	PUNCT
ejpam-2022	61	4	)	)	PUNCT
ejpam-2022	62	1	=	=	PUNCT
ejpam-2022	63	1	[	[	X
ejpam-2022	63	2	(	(	PUNCT
ejpam-2022	63	3	m−	m−	PROPN
ejpam-2022	63	4	1)γ]−1	1)γ]−1	NOUN
ejpam-2022	63	5	y2	y2	NOUN
ejpam-2022	63	6	0	0	NUM
ejpam-2022	63	7	q′(y0	q′(y0	PROPN
ejpam-2022	63	8	)	)	PUNCT
ejpam-2022	63	9	,	,	PUNCT
ejpam-2022	63	10	b	b	X
ejpam-2022	63	11	)	)	PUNCT
ejpam-2022	63	12	p0(x0	p0(x0	NOUN
ejpam-2022	63	13	)	)	PUNCT
ejpam-2022	63	14	=	=	SYM
ejpam-2022	63	15	p1(x0	p1(x0	NOUN
ejpam-2022	63	16	)	)	PUNCT
ejpam-2022	63	17	,	,	PUNCT
ejpam-2022	63	18	τm	τm	ADP
ejpam-2022	63	19	=	=	NOUN
ejpam-2022	63	20	m	m	VERB
ejpam-2022	63	21	m−1	m−1	PROPN
ejpam-2022	63	22	y0q′(y0	y0q′(y0	NOUN
ejpam-2022	63	23	)	)	PUNCT
ejpam-2022	63	24	<	<	X
ejpam-2022	64	1	1	1	NUM
ejpam-2022	64	2	.	.	X
ejpam-2022	64	3	c	c	X
ejpam-2022	64	4	)	)	PUNCT
ejpam-2022	64	5	0	0	NUM
ejpam-2022	64	6	<	<	X
ejpam-2022	64	7	−p′0(x0	−p′0(x0	NUM
ejpam-2022	64	8	)	)	PUNCT
ejpam-2022	64	9	<	<	X
ejpam-2022	64	10	p′1(x0	p′1(x0	NOUN
ejpam-2022	64	11	)	)	PUNCT
ejpam-2022	64	12	and	and	CCONJ
ejpam-2022	64	13	x0	x0	PROPN
ejpam-2022	64	14	g	g	PROPN
ejpam-2022	64	15	′(x0	′(x0	NOUN
ejpam-2022	64	16	)	)	PUNCT
ejpam-2022	65	1	+	+	NUM
ejpam-2022	65	2	g(x0)−	g(x0)−	NOUN
ejpam-2022	65	3	ym	ym	PROPN
ejpam-2022	65	4	0	0	NUM
ejpam-2022	65	5	p′1(x0	p′1(x0	NOUN
ejpam-2022	65	6	)	)	PUNCT
ejpam-2022	65	7	<	<	X
ejpam-2022	65	8	0	0	PUNCT
ejpam-2022	65	9	.	.	PUNCT
ejpam-2022	66	1	system	system	NOUN
ejpam-2022	66	2	(	(	PUNCT
ejpam-2022	66	3	1	1	X
ejpam-2022	66	4	)	)	PUNCT
ejpam-2022	66	5	becomes	become	VERB
ejpam-2022	66	6	the	the	DET
ejpam-2022	66	7	system	system	NOUN
ejpam-2022	66	8	(	(	PUNCT
ejpam-2022	66	9	26	26	NUM
ejpam-2022	66	10	)	)	PUNCT
ejpam-2022	66	11	in	in	ADP
ejpam-2022	66	12	[	[	X
ejpam-2022	66	13	10	10	NUM
ejpam-2022	66	14	]	]	PUNCT
ejpam-2022	66	15	if	if	SCONJ
ejpam-2022	66	16	,	,	PUNCT
ejpam-2022	66	17	0	0	NUM
ejpam-2022	66	18	<	<	X
ejpam-2022	66	19	m	m	VERB
ejpam-2022	66	20	≤	≤	ADJ
ejpam-2022	66	21	1	1	NUM
ejpam-2022	66	22	and	and	CCONJ
ejpam-2022	66	23	σ	σ	NUM
ejpam-2022	66	24	=	=	SYM
ejpam-2022	66	25	r	r	NOUN
ejpam-2022	66	26	=	=	SYM
ejpam-2022	66	27	0	0	PROPN
ejpam-2022	66	28	.	.	PUNCT
ejpam-2022	67	1	stability	stability	NOUN
ejpam-2022	67	2	of	of	ADP
ejpam-2022	67	3	competition	competition	NOUN
ejpam-2022	67	4	among	among	ADP
ejpam-2022	67	5	new	new	ADJ
ejpam-2022	67	6	technologies	technology	NOUN
ejpam-2022	67	7	available	available	ADJ
ejpam-2022	67	8	close	close	ADV
ejpam-2022	67	9	to	to	ADP
ejpam-2022	67	10	p0	p0	NOUN
ejpam-2022	67	11	was	be	AUX
ejpam-2022	67	12	analysed	analyse	VERB
ejpam-2022	67	13	in	in	ADP
ejpam-2022	67	14	[	[	X
ejpam-2022	67	15	10	10	NUM
ejpam-2022	67	16	]	]	PUNCT
ejpam-2022	67	17	.	.	PUNCT
ejpam-2022	68	1	since	since	SCONJ
ejpam-2022	68	2	the	the	DET
ejpam-2022	68	3	model	model	NOUN
ejpam-2022	68	4	(	(	PUNCT
ejpam-2022	68	5	1	1	NUM
ejpam-2022	68	6	)	)	PUNCT
ejpam-2022	68	7	depends	depend	VERB
ejpam-2022	68	8	on	on	ADP
ejpam-2022	68	9	two	two	NUM
ejpam-2022	68	10	delays	delay	NOUN
ejpam-2022	68	11	,	,	PUNCT
ejpam-2022	68	12	that	that	PRON
ejpam-2022	68	13	leads	lead	VERB
ejpam-2022	68	14	to	to	ADP
ejpam-2022	68	15	great	great	ADJ
ejpam-2022	68	16	complexity	complexity	NOUN
ejpam-2022	68	17	in	in	ADP
ejpam-2022	68	18	the	the	DET
ejpam-2022	68	19	analysis	analysis	NOUN
ejpam-2022	68	20	of	of	ADP
ejpam-2022	68	21	competition	competition	NOUN
ejpam-2022	68	22	among	among	ADP
ejpam-2022	68	23	new	new	ADJ
ejpam-2022	68	24	technologies	technology	NOUN
ejpam-2022	68	25	available	available	ADJ
ejpam-2022	68	26	on	on	ADP
ejpam-2022	68	27	the	the	DET
ejpam-2022	68	28	market	market	NOUN
ejpam-2022	68	29	(	(	PUNCT
ejpam-2022	68	30	see	see	VERB
ejpam-2022	68	31	[	[	X
ejpam-2022	68	32	4	4	NUM
ejpam-2022	68	33	]	]	NUM
ejpam-2022	68	34	)	)	PUNCT
ejpam-2022	68	35	.	.	PUNCT
ejpam-2022	69	1	we	we	PRON
ejpam-2022	69	2	observe	observe	VERB
ejpam-2022	69	3	that	that	SCONJ
ejpam-2022	69	4	in	in	ADP
ejpam-2022	69	5	this	this	DET
ejpam-2022	69	6	system	system	NOUN
ejpam-2022	69	7	the	the	DET
ejpam-2022	69	8	delays	delay	NOUN
ejpam-2022	69	9	can	can	AUX
ejpam-2022	69	10	not	not	PART
ejpam-2022	69	11	be	be	AUX
ejpam-2022	69	12	eliminated	eliminate	VERB
ejpam-2022	69	13	by	by	ADP
ejpam-2022	69	14	any	any	DET
ejpam-2022	69	15	change	change	NOUN
ejpam-2022	69	16	of	of	ADP
ejpam-2022	69	17	variable	variable	NOUN
ejpam-2022	69	18	.	.	PUNCT
ejpam-2022	70	1	its	its	PRON
ejpam-2022	70	2	dynamics	dynamic	NOUN
ejpam-2022	70	3	are	be	AUX
ejpam-2022	70	4	studied	study	VERB
ejpam-2022	70	5	in	in	ADP
ejpam-2022	70	6	terms	term	NOUN
ejpam-2022	70	7	of	of	ADP
ejpam-2022	70	8	the	the	DET
ejpam-2022	70	9	local	local	ADJ
ejpam-2022	70	10	stability	stability	NOUN
ejpam-2022	70	11	of	of	ADP
ejpam-2022	70	12	p0	p0	NOUN
ejpam-2022	70	13	and	and	CCONJ
ejpam-2022	70	14	of	of	ADP
ejpam-2022	70	15	the	the	DET
ejpam-2022	70	16	hopf	hopf	ADJ
ejpam-2022	70	17	bifurcation	bifurcation	NOUN
ejpam-2022	70	18	that	that	PRON
ejpam-2022	70	19	is	be	AUX
ejpam-2022	70	20	proven	prove	VERB
ejpam-2022	70	21	to	to	PART
ejpam-2022	70	22	exist	exist	VERB
ejpam-2022	70	23	as	as	ADP
ejpam-2022	70	24	one	one	NUM
ejpam-2022	70	25	of	of	ADP
ejpam-2022	70	26	the	the	DET
ejpam-2022	70	27	delay	delay	NOUN
ejpam-2022	70	28	crosses	cross	VERB
ejpam-2022	70	29	some	some	DET
ejpam-2022	70	30	critical	critical	ADJ
ejpam-2022	70	31	value	value	NOUN
ejpam-2022	70	32	.	.	PUNCT
ejpam-2022	71	1	to	to	PART
ejpam-2022	71	2	achieve	achieve	VERB
ejpam-2022	71	3	our	our	PRON
ejpam-2022	71	4	goals	goal	NOUN
ejpam-2022	71	5	,	,	PUNCT
ejpam-2022	71	6	we	we	PRON
ejpam-2022	71	7	shall	shall	AUX
ejpam-2022	71	8	analyse	analyse	VERB
ejpam-2022	71	9	how	how	SCONJ
ejpam-2022	71	10	the	the	DET
ejpam-2022	71	11	roots	root	NOUN
ejpam-2022	71	12	of	of	ADP
ejpam-2022	71	13	(	(	PUNCT
ejpam-2022	71	14	3	3	NUM
ejpam-2022	71	15	)	)	PUNCT
ejpam-2022	71	16	)	)	PUNCT
ejpam-2022	71	17	are	be	AUX
ejpam-2022	71	18	distributed	distribute	VERB
ejpam-2022	71	19	with	with	ADP
ejpam-2022	71	20	respect	respect	NOUN
ejpam-2022	71	21	to	to	ADP
ejpam-2022	71	22	the	the	DET
ejpam-2022	71	23	imaginary	imaginary	ADJ
ejpam-2022	71	24	axis	axis	NOUN
ejpam-2022	71	25	.	.	PUNCT
ejpam-2022	72	1	this	this	PRON
ejpam-2022	72	2	is	be	AUX
ejpam-2022	72	3	a	a	DET
ejpam-2022	72	4	classical	classical	ADJ
ejpam-2022	72	5	problem	problem	NOUN
ejpam-2022	72	6	that	that	SCONJ
ejpam-2022	72	7	,	,	PUNCT
ejpam-2022	72	8	in	in	ADP
ejpam-2022	72	9	addition	addition	NOUN
ejpam-2022	72	10	to	to	ADP
ejpam-2022	72	11	being	be	AUX
ejpam-2022	72	12	important	important	ADJ
ejpam-2022	72	13	by	by	ADP
ejpam-2022	72	14	itself	itself	PRON
ejpam-2022	72	15	,	,	PUNCT
ejpam-2022	72	16	plays	play	VERB
ejpam-2022	72	17	an	an	DET
ejpam-2022	72	18	important	important	ADJ
ejpam-2022	72	19	role	role	NOUN
ejpam-2022	72	20	in	in	ADP
ejpam-2022	72	21	the	the	DET
ejpam-2022	72	22	study	study	NOUN
ejpam-2022	72	23	of	of	ADP
ejpam-2022	72	24	asymptotic	asymptotic	ADJ
ejpam-2022	72	25	behavior	behavior	NOUN
ejpam-2022	72	26	in	in	ADP
ejpam-2022	72	27	the	the	DET
ejpam-2022	72	28	theory	theory	NOUN
ejpam-2022	72	29	of	of	ADP
ejpam-2022	72	30	delay	delay	NOUN
ejpam-2022	72	31	differential	differential	ADJ
ejpam-2022	72	32	equations	equation	NOUN
ejpam-2022	72	33	(	(	PUNCT
ejpam-2022	72	34	see	see	VERB
ejpam-2022	72	35	[	[	X
ejpam-2022	72	36	4	4	NUM
ejpam-2022	72	37	]	]	PUNCT
ejpam-2022	72	38	)	)	PUNCT
ejpam-2022	72	39	.	.	PUNCT
ejpam-2022	73	1	if	if	SCONJ
ejpam-2022	73	2	we	we	PRON
ejpam-2022	73	3	set	set	VERB
ejpam-2022	73	4	κ11	κ11	NOUN
ejpam-2022	73	5	=	=	NOUN
ejpam-2022	73	6	x0	x0	PROPN
ejpam-2022	73	7	g	g	PROPN
ejpam-2022	73	8	′(x0	′(x0	NOUN
ejpam-2022	73	9	)	)	PUNCT
ejpam-2022	74	1	+	+	CCONJ
ejpam-2022	74	2	g(x0	g(x0	NOUN
ejpam-2022	74	3	)	)	PUNCT
ejpam-2022	74	4	−	−	PROPN
ejpam-2022	75	1	ym	ym	NOUN
ejpam-2022	75	2	0	0	NUM
ejpam-2022	75	3	p′1(x0	p′1(x0	NOUN
ejpam-2022	75	4	)	)	PUNCT
ejpam-2022	75	5	,	,	PUNCT
ejpam-2022	75	6	κ12	κ12	NOUN
ejpam-2022	75	7	=	=	SYM
ejpam-2022	75	8	−mym−1	−mym−1	NOUN
ejpam-2022	75	9	0	0	NUM
ejpam-2022	75	10	p(x0	p(x0	NOUN
ejpam-2022	75	11	)	)	PUNCT
ejpam-2022	75	12	,	,	PUNCT
ejpam-2022	75	13	κ21	κ21	NOUN
ejpam-2022	75	14	=	=	SYM
ejpam-2022	75	15	γp′1(x0)ym	γp′1(x0)ym	PROPN
ejpam-2022	75	16	0	0	NUM
ejpam-2022	75	17	,	,	PUNCT
ejpam-2022	75	18	κ22	κ22	NOUN
ejpam-2022	75	19	=	=	SYM
ejpam-2022	75	20	(	(	PUNCT
ejpam-2022	75	21	m	m	VERB
ejpam-2022	75	22	−	−	NUM
ejpam-2022	75	23	1)γym−1	1)γym−1	NUM
ejpam-2022	75	24	0	0	NUM
ejpam-2022	75	25	p(x0	p(x0	NOUN
ejpam-2022	75	26	)	)	PUNCT
ejpam-2022	75	27	−	−	PROPN
ejpam-2022	75	28	y0q′(y0	y0q′(y0	NOUN
ejpam-2022	75	29	)	)	PUNCT
ejpam-2022	75	30	,	,	PUNCT
ejpam-2022	75	31	b11	b11	PROPN
ejpam-2022	75	32	=	=	SYM
ejpam-2022	75	33	−ym	−ym	NOUN
ejpam-2022	75	34	0	0	NUM
ejpam-2022	75	35	p′0(x0	p′0(x0	NOUN
ejpam-2022	75	36	)	)	PUNCT
ejpam-2022	75	37	,	,	PUNCT
ejpam-2022	75	38	b21	b21	PROPN
ejpam-2022	75	39	=	=	NOUN
ejpam-2022	75	40	γym	γym	NOUN
ejpam-2022	75	41	0	0	NUM
ejpam-2022	75	42	p′0(x0	p′0(x0	NOUN
ejpam-2022	75	43	)	)	PUNCT
ejpam-2022	75	44	,	,	PUNCT
ejpam-2022	75	45	we	we	PRON
ejpam-2022	75	46	obtain	obtain	VERB
ejpam-2022	75	47	the	the	DET
ejpam-2022	75	48	system	system	NOUN
ejpam-2022	75	49	�	�	PROPN
ejpam-2022	75	50	ẋ(t	ẋ(t	PROPN
ejpam-2022	75	51	)	)	PUNCT
ejpam-2022	76	1	=	=	SYM
ejpam-2022	76	2	κ11	κ11	NOUN
ejpam-2022	76	3	x(t	x(t	PROPN
ejpam-2022	76	4	)	)	PUNCT
ejpam-2022	77	1	+	+	CCONJ
ejpam-2022	77	2	κ12	κ12	X
ejpam-2022	77	3	y(t	y(t	NUM
ejpam-2022	77	4	)	)	PUNCT
ejpam-2022	78	1	+	+	CCONJ
ejpam-2022	78	2	b11	b11	PROPN
ejpam-2022	78	3	x(t	x(t	PROPN
ejpam-2022	78	4	−σ	−σ	NOUN
ejpam-2022	78	5	)	)	PUNCT
ejpam-2022	78	6	ẏ(t	ẏ(t	PROPN
ejpam-2022	78	7	)	)	PUNCT
ejpam-2022	78	8	=	=	SYM
ejpam-2022	78	9	κ21	κ21	PROPN
ejpam-2022	78	10	x(t	x(t	PROPN
ejpam-2022	78	11	)	)	PUNCT
ejpam-2022	79	1	+	+	NUM
ejpam-2022	79	2	κ22	κ22	NOUN
ejpam-2022	79	3	y(t	y(t	PROPN
ejpam-2022	79	4	)	)	PUNCT
ejpam-2022	80	1	+	+	CCONJ
ejpam-2022	80	2	b21	b21	PROPN
ejpam-2022	80	3	x(t	x(t	PROPN
ejpam-2022	80	4	−	−	NOUN
ejpam-2022	80	5	r	r	NOUN
ejpam-2022	80	6	)	)	PUNCT
ejpam-2022	80	7	(	(	PUNCT
ejpam-2022	80	8	2	2	X
ejpam-2022	80	9	)	)	PUNCT
ejpam-2022	80	10	that	that	PRON
ejpam-2022	80	11	is	be	AUX
ejpam-2022	80	12	the	the	DET
ejpam-2022	80	13	linearized	linearize	VERB
ejpam-2022	80	14	system	system	NOUN
ejpam-2022	80	15	of	of	ADP
ejpam-2022	80	16	(	(	PUNCT
ejpam-2022	80	17	1	1	NUM
ejpam-2022	80	18	)	)	PUNCT
ejpam-2022	80	19	,	,	PUNCT
ejpam-2022	80	20	close	close	ADV
ejpam-2022	80	21	to	to	ADP
ejpam-2022	80	22	p0	p0	NOUN
ejpam-2022	80	23	.	.	PUNCT
ejpam-2022	81	1	from	from	ADP
ejpam-2022	81	2	assumption	assumption	NOUN
ejpam-2022	81	3	2a	2a	NUM
ejpam-2022	81	4	it	it	PRON
ejpam-2022	81	5	follows	follow	VERB
ejpam-2022	81	6	that	that	SCONJ
ejpam-2022	81	7	κ22	κ22	NOUN
ejpam-2022	81	8	=	=	SYM
ejpam-2022	81	9	0	0	X
ejpam-2022	81	10	.	.	PUNCT
ejpam-2022	82	1	if	if	SCONJ
ejpam-2022	82	2	a	a	DET
ejpam-2022	82	3	=	=	SYM
ejpam-2022	82	4	ym+1	ym+1	PROPN
ejpam-2022	82	5	0	0	NUM
ejpam-2022	82	6	q′(y0)(−p′0(x0	q′(y0)(−p′0(x0	NOUN
ejpam-2022	82	7	)	)	PUNCT
ejpam-2022	82	8	)	)	PUNCT
ejpam-2022	83	1	,	,	PUNCT
ejpam-2022	83	2	b	b	X
ejpam-2022	83	3	=	=	SYM
ejpam-2022	83	4	ym	ym	PROPN
ejpam-2022	83	5	0	0	NUM
ejpam-2022	83	6	(	(	PUNCT
ejpam-2022	83	7	−p′0(x0	−p′0(x0	NUM
ejpam-2022	83	8	)	)	PUNCT
ejpam-2022	83	9	)	)	PUNCT
ejpam-2022	83	10	,	,	PUNCT
ejpam-2022	83	11	c	c	X
ejpam-2022	83	12	=	=	SYM
ejpam-2022	83	13	γy(m+1	γy(m+1	PROPN
ejpam-2022	83	14	)	)	PUNCT
ejpam-2022	83	15	0	0	NUM
ejpam-2022	84	1	q′(y0)p′1(x0	q′(y0)p′1(x0	NUM
ejpam-2022	84	2	)	)	PUNCT
ejpam-2022	85	1	and	and	CCONJ
ejpam-2022	85	2	d	d	NOUN
ejpam-2022	85	3	=	=	SYM
ejpam-2022	86	1	x0	x0	PROPN
ejpam-2022	86	2	g	g	NOUN
ejpam-2022	86	3	′(x0	′(x0	NOUN
ejpam-2022	86	4	)	)	PUNCT
ejpam-2022	87	1	+	+	NUM
ejpam-2022	87	2	g(x0)−	g(x0)−	NOUN
ejpam-2022	87	3	ym	ym	PROPN
ejpam-2022	87	4	0	0	NUM
ejpam-2022	87	5	p′1(x0	p′1(x0	NOUN
ejpam-2022	87	6	)	)	PUNCT
ejpam-2022	87	7	,	,	PUNCT
ejpam-2022	87	8	then	then	ADV
ejpam-2022	87	9	the	the	DET
ejpam-2022	87	10	characteristic	characteristic	ADJ
ejpam-2022	87	11	equation	equation	NOUN
ejpam-2022	87	12	of	of	ADP
ejpam-2022	87	13	the	the	DET
ejpam-2022	87	14	system	system	NOUN
ejpam-2022	87	15	(	(	PUNCT
ejpam-2022	87	16	2	2	X
ejpam-2022	87	17	)	)	PUNCT
ejpam-2022	87	18	is	be	AUX
ejpam-2022	87	19	given	give	VERB
ejpam-2022	87	20	by	by	ADP
ejpam-2022	87	21	h(λ	h(λ	PROPN
ejpam-2022	87	22	)	)	PUNCT
ejpam-2022	87	23	=	=	SYM
ejpam-2022	87	24	λ2	λ2	NOUN
ejpam-2022	87	25	−	−	NOUN
ejpam-2022	87	26	dλ−	dλ−	SYM
ejpam-2022	87	27	bλe−λσ	bλe−λσ	ADJ
ejpam-2022	87	28	−	−	PRON
ejpam-2022	87	29	ae−λr	ae−λr	NOUN
ejpam-2022	87	30	+	+	PUNCT
ejpam-2022	87	31	c	c	NOUN
ejpam-2022	87	32	=	=	SYM
ejpam-2022	87	33	0	0	PROPN
ejpam-2022	87	34	.	.	PUNCT
ejpam-2022	88	1	(	(	PUNCT
ejpam-2022	88	2	3	3	X
ejpam-2022	88	3	)	)	PUNCT
ejpam-2022	88	4	j.	j.	PROPN
ejpam-2022	88	5	dos	dos	PROPN
ejpam-2022	88	6	santos	santos	PROPN
ejpam-2022	88	7	,	,	PUNCT
ejpam-2022	88	8	k.	k.	PROPN
ejpam-2022	88	9	azevedo	azevedo	PROPN
ejpam-2022	88	10	and	and	CCONJ
ejpam-2022	88	11	p.	p.	PROPN
ejpam-2022	88	12	torresan	torresan	PROPN
ejpam-2022	88	13	/	/	SYM
ejpam-2022	88	14	eur	eur	PROPN
ejpam-2022	88	15	.	.	PUNCT
ejpam-2022	89	1	j.	j.	PROPN
ejpam-2022	89	2	pure	pure	PROPN
ejpam-2022	89	3	appl	appl	PROPN
ejpam-2022	89	4	.	.	PROPN
ejpam-2022	89	5	math	math	PROPN
ejpam-2022	89	6	,	,	PUNCT
ejpam-2022	89	7	7	7	NUM
ejpam-2022	89	8	(	(	PUNCT
ejpam-2022	89	9	2014	2014	NUM
ejpam-2022	89	10	)	)	PUNCT
ejpam-2022	89	11	,	,	PUNCT
ejpam-2022	89	12	156	156	NUM
ejpam-2022	89	13	-	-	SYM
ejpam-2022	89	14	165	165	NUM
ejpam-2022	89	15	159	159	NUM
ejpam-2022	89	16	let	let	VERB
ejpam-2022	89	17	λ	λ	X
ejpam-2022	89	18	=	=	PUNCT
ejpam-2022	89	19	x	x	PUNCT
ejpam-2022	90	1	+	+	CCONJ
ejpam-2022	90	2	i	i	PRON
ejpam-2022	90	3	y	y	VERB
ejpam-2022	90	4	be	be	VERB
ejpam-2022	90	5	a	a	DET
ejpam-2022	90	6	solution	solution	NOUN
ejpam-2022	90	7	of	of	ADP
ejpam-2022	90	8	equation	equation	NOUN
ejpam-2022	90	9	(	(	PUNCT
ejpam-2022	90	10	3	3	NUM
ejpam-2022	90	11	)	)	PUNCT
ejpam-2022	90	12	.	.	PUNCT
ejpam-2022	91	1	separating	separate	VERB
ejpam-2022	91	2	real	real	ADJ
ejpam-2022	91	3	and	and	CCONJ
ejpam-2022	91	4	imaginary	imaginary	ADJ
ejpam-2022	91	5	parts	part	NOUN
ejpam-2022	91	6	in	in	ADP
ejpam-2022	91	7	(	(	PUNCT
ejpam-2022	91	8	3	3	X
ejpam-2022	91	9	)	)	PUNCT
ejpam-2022	91	10	we	we	PRON
ejpam-2022	91	11	obtain	obtain	VERB
ejpam-2022	91	12	the	the	DET
ejpam-2022	91	13	following	follow	VERB
ejpam-2022	91	14	equations	equation	NOUN
ejpam-2022	91	15	system	system	NOUN
ejpam-2022	91	16	for	for	ADP
ejpam-2022	91	17	x	x	SYM
ejpam-2022	91	18	and	and	CCONJ
ejpam-2022	91	19	y	y	PROPN
ejpam-2022	91	20	�	�	PROPN
ejpam-2022	92	1	x2	x2	PRON
ejpam-2022	92	2	−	−	PROPN
ejpam-2022	93	1	(	(	PUNCT
ejpam-2022	93	2	y2	y2	PROPN
ejpam-2022	93	3	−	−	PROPN
ejpam-2022	93	4	c)−	c)−	PROPN
ejpam-2022	93	5	d	d	NOUN
ejpam-2022	93	6	x	x	SYM
ejpam-2022	94	1	−	−	PROPN
ejpam-2022	94	2	be−σx[x	be−σx[x	NOUN
ejpam-2022	94	3	cos	cos	PROPN
ejpam-2022	94	4	yσ+	yσ+	PROPN
ejpam-2022	94	5	y	y	PROPN
ejpam-2022	94	6	sin	sin	VERB
ejpam-2022	94	7	yσ]−	yσ]−	PROPN
ejpam-2022	94	8	ae−r	ae−r	PROPN
ejpam-2022	94	9	x	x	PROPN
ejpam-2022	94	10	cos	cos	PROPN
ejpam-2022	94	11	y	y	PROPN
ejpam-2022	94	12	r	r	NOUN
ejpam-2022	94	13	=	=	SYM
ejpam-2022	94	14	0	0	NUM
ejpam-2022	95	1	2x	2x	NUM
ejpam-2022	96	1	y	y	NOUN
ejpam-2022	96	2	−	−	PROPN
ejpam-2022	97	1	d	d	X
ejpam-2022	97	2	y	y	PROPN
ejpam-2022	97	3	+	+	NUM
ejpam-2022	97	4	be−σx[x	be−σx[x	VERB
ejpam-2022	97	5	sin	sin	NOUN
ejpam-2022	97	6	yσ−	yσ−	PROPN
ejpam-2022	97	7	y	y	PROPN
ejpam-2022	97	8	cos	cos	PROPN
ejpam-2022	97	9	yσ	yσ	PROPN
ejpam-2022	97	10	]	]	X
ejpam-2022	97	11	+	+	CCONJ
ejpam-2022	97	12	ae−r	ae−r	ADJ
ejpam-2022	97	13	x	x	INTJ
ejpam-2022	97	14	sin	sin	NOUN
ejpam-2022	97	15	y	y	NOUN
ejpam-2022	97	16	r	r	NOUN
ejpam-2022	97	17	=	=	NOUN
ejpam-2022	97	18	0	0	PROPN
ejpam-2022	97	19	.	.	PUNCT
ejpam-2022	98	1	(	(	PUNCT
ejpam-2022	98	2	4	4	X
ejpam-2022	98	3	)	)	PUNCT
ejpam-2022	98	4	the	the	DET
ejpam-2022	98	5	solutions	solution	NOUN
ejpam-2022	98	6	of	of	ADP
ejpam-2022	98	7	the	the	DET
ejpam-2022	98	8	system	system	NOUN
ejpam-2022	98	9	(	(	PUNCT
ejpam-2022	98	10	4	4	NUM
ejpam-2022	98	11	)	)	PUNCT
ejpam-2022	98	12	with	with	ADP
ejpam-2022	98	13	null	null	ADJ
ejpam-2022	98	14	real	real	ADJ
ejpam-2022	98	15	part	part	NOUN
ejpam-2022	98	16	are	be	AUX
ejpam-2022	98	17	solutions	solution	NOUN
ejpam-2022	98	18	of	of	ADP
ejpam-2022	98	19	the	the	DET
ejpam-2022	98	20	system	system	NOUN
ejpam-2022	98	21	�	�	PROPN
ejpam-2022	98	22	b	b	PROPN
ejpam-2022	98	23	y	y	PROPN
ejpam-2022	98	24	sin	sin	NOUN
ejpam-2022	98	25	yσ+	yσ+	PROPN
ejpam-2022	98	26	a	a	DET
ejpam-2022	98	27	cos	cos	PROPN
ejpam-2022	98	28	y	y	PROPN
ejpam-2022	98	29	r	r	NOUN
ejpam-2022	98	30	=	=	PUNCT
ejpam-2022	98	31	−y2	−y2	PROPN
ejpam-2022	99	1	+	+	CCONJ
ejpam-2022	99	2	c	c	NOUN
ejpam-2022	99	3	−b	−b	VERB
ejpam-2022	99	4	y	y	PROPN
ejpam-2022	99	5	cos	cos	PROPN
ejpam-2022	99	6	yσ+	yσ+	PROPN
ejpam-2022	99	7	a	a	DET
ejpam-2022	99	8	sin	sin	NOUN
ejpam-2022	100	1	y	y	NOUN
ejpam-2022	100	2	r	r	NOUN
ejpam-2022	100	3	=	=	PUNCT
ejpam-2022	100	4	d	d	X
ejpam-2022	100	5	y.	y.	NOUN
ejpam-2022	100	6	(	(	PUNCT
ejpam-2022	100	7	5	5	X
ejpam-2022	100	8	)	)	PUNCT
ejpam-2022	100	9	suppose	suppose	VERB
ejpam-2022	100	10	y	y	PROPN
ejpam-2022	100	11	6=	6=	ADP
ejpam-2022	100	12	0	0	NUM
ejpam-2022	100	13	is	be	AUX
ejpam-2022	100	14	a	a	DET
ejpam-2022	100	15	solution	solution	NOUN
ejpam-2022	100	16	of	of	ADP
ejpam-2022	100	17	(	(	PUNCT
ejpam-2022	100	18	5	5	NUM
ejpam-2022	100	19	)	)	PUNCT
ejpam-2022	100	20	,	,	PUNCT
ejpam-2022	100	21	then	then	ADV
ejpam-2022	100	22	we	we	PRON
ejpam-2022	100	23	must	must	AUX
ejpam-2022	100	24	have	have	VERB
ejpam-2022	100	25	sin(σ−	sin(σ−	NOUN
ejpam-2022	100	26	r)y	r)y	NOUN
ejpam-2022	100	27	=	=	SYM
ejpam-2022	100	28	(	(	PUNCT
ejpam-2022	100	29	−y2	−y2	PROPN
ejpam-2022	100	30	+	+	NUM
ejpam-2022	100	31	c)2	c)2	PROPN
ejpam-2022	100	32	+	+	CCONJ
ejpam-2022	100	33	d2	d2	PROPN
ejpam-2022	100	34	y2	y2	PROPN
ejpam-2022	100	35	−	−	PROPN
ejpam-2022	100	36	b2	b2	NOUN
ejpam-2022	100	37	y2	y2	NOUN
ejpam-2022	100	38	−	−	PROPN
ejpam-2022	100	39	a2	a2	PROPN
ejpam-2022	100	40	2ab	2ab	NOUN
ejpam-2022	100	41	y	y	PROPN
ejpam-2022	100	42	:	:	PUNCT
ejpam-2022	100	43	=	=	SYM
ejpam-2022	100	44	%	%	INTJ
ejpam-2022	100	45	(	(	PUNCT
ejpam-2022	100	46	y	y	NOUN
ejpam-2022	100	47	)	)	PUNCT
ejpam-2022	100	48	.	.	PUNCT
ejpam-2022	101	1	(	(	PUNCT
ejpam-2022	101	2	6	6	NUM
ejpam-2022	101	3	)	)	PUNCT
ejpam-2022	101	4	if	if	SCONJ
ejpam-2022	101	5	we	we	PRON
ejpam-2022	101	6	define	define	VERB
ejpam-2022	101	7	u(y	u(y	NOUN
ejpam-2022	101	8	)	)	PUNCT
ejpam-2022	101	9	=	=	SYM
ejpam-2022	101	10	s	s	PART
ejpam-2022	101	11	+	+	NUM
ejpam-2022	101	12	q(y	q(y	NOUN
ejpam-2022	101	13	)	)	PUNCT
ejpam-2022	101	14	,	,	PUNCT
ejpam-2022	101	15	we	we	PRON
ejpam-2022	101	16	indicate	indicate	VERB
ejpam-2022	101	17	elasticity	elasticity	NOUN
ejpam-2022	101	18	of	of	ADP
ejpam-2022	101	19	u	u	NOUN
ejpam-2022	101	20	with	with	ADP
ejpam-2022	101	21	respect	respect	NOUN
ejpam-2022	101	22	to	to	ADP
ejpam-2022	101	23	y	y	PROPN
ejpam-2022	101	24	at	at	ADP
ejpam-2022	101	25	y0	y0	PROPN
ejpam-2022	101	26	by	by	ADP
ejpam-2022	101	27	εq	εq	NUM
ejpam-2022	101	28	.	.	PUNCT
ejpam-2022	102	1	analogously	analogously	ADV
ejpam-2022	102	2	,	,	PUNCT
ejpam-2022	102	3	we	we	PRON
ejpam-2022	102	4	have	have	AUX
ejpam-2022	102	5	εg	εg	ADV
ejpam-2022	102	6	,	,	PUNCT
ejpam-2022	102	7	εp0	εp0	VERB
ejpam-2022	102	8	,	,	PUNCT
ejpam-2022	102	9	εp1	εp1	NOUN
ejpam-2022	102	10	and	and	CCONJ
ejpam-2022	102	11	εp	εp	NOUN
ejpam-2022	102	12	are	be	AUX
ejpam-2022	102	13	the	the	DET
ejpam-2022	102	14	elasticities	elasticity	NOUN
ejpam-2022	102	15	of	of	ADP
ejpam-2022	102	16	g	g	NOUN
ejpam-2022	102	17	,	,	PUNCT
ejpam-2022	102	18	p0	p0	NOUN
ejpam-2022	102	19	,	,	PUNCT
ejpam-2022	102	20	p1	p1	NOUN
ejpam-2022	102	21	and	and	CCONJ
ejpam-2022	102	22	p	p	NOUN
ejpam-2022	102	23	at	at	ADP
ejpam-2022	102	24	x0	x0	PROPN
ejpam-2022	102	25	,	,	PUNCT
ejpam-2022	102	26	respectively	respectively	ADV
ejpam-2022	102	27	(	(	PUNCT
ejpam-2022	102	28	see	see	VERB
ejpam-2022	102	29	assumption	assumption	NOUN
ejpam-2022	102	30	1	1	NUM
ejpam-2022	102	31	)	)	PUNCT
ejpam-2022	102	32	.	.	PUNCT
ejpam-2022	103	1	remark	remark	PROPN
ejpam-2022	103	2	1	1	NUM
ejpam-2022	103	3	.	.	PUNCT
ejpam-2022	104	1	authors	author	NOUN
ejpam-2022	104	2	in	in	ADP
ejpam-2022	104	3	[	[	X
ejpam-2022	104	4	10	10	NUM
ejpam-2022	104	5	]	]	PUNCT
ejpam-2022	104	6	consider	consider	VERB
ejpam-2022	104	7	the	the	DET
ejpam-2022	104	8	system	system	NOUN
ejpam-2022	104	9	(	(	PUNCT
ejpam-2022	104	10	1	1	NUM
ejpam-2022	104	11	)	)	PUNCT
ejpam-2022	104	12	with	with	ADP
ejpam-2022	104	13	σ	σ	NOUN
ejpam-2022	104	14	=	=	SYM
ejpam-2022	104	15	r	r	NOUN
ejpam-2022	104	16	=	=	SYM
ejpam-2022	104	17	0	0	NUM
ejpam-2022	104	18	,	,	PUNCT
ejpam-2022	104	19	0	0	PUNCT
ejpam-2022	104	20	<	<	X
ejpam-2022	104	21	m	m	VERB
ejpam-2022	104	22	≤	≤	NOUN
ejpam-2022	104	23	1	1	NUM
ejpam-2022	104	24	and	and	CCONJ
ejpam-2022	104	25	the	the	DET
ejpam-2022	104	26	corresponding	corresponding	NOUN
ejpam-2022	104	27	to	to	ADP
ejpam-2022	104	28	configuration	configuration	NOUN
ejpam-2022	104	29	of	of	ADP
ejpam-2022	104	30	the	the	DET
ejpam-2022	104	31	equilibrium	equilibrium	NOUN
ejpam-2022	104	32	p0	p0	NOUN
ejpam-2022	104	33	is	be	AUX
ejpam-2022	104	34	e3	e3	NOUN
ejpam-2022	104	35	(	(	PUNCT
ejpam-2022	104	36	see	see	VERB
ejpam-2022	104	37	[	[	X
ejpam-2022	104	38	10	10	NUM
ejpam-2022	104	39	,	,	PUNCT
ejpam-2022	104	40	pp	pp	ADJ
ejpam-2022	104	41	.	.	PUNCT
ejpam-2022	104	42	364	364	NUM
ejpam-2022	104	43	]	]	PUNCT
ejpam-2022	104	44	)	)	PUNCT
ejpam-2022	104	45	.	.	PUNCT
ejpam-2022	105	1	they	they	PRON
ejpam-2022	105	2	indicate	indicate	VERB
ejpam-2022	105	3	the	the	DET
ejpam-2022	105	4	diagonal	diagonal	ADJ
ejpam-2022	105	5	elements	element	NOUN
ejpam-2022	105	6	of	of	ADP
ejpam-2022	105	7	the	the	DET
ejpam-2022	105	8	variational	variational	ADJ
ejpam-2022	105	9	matrix	matrix	NOUN
ejpam-2022	105	10	associated	associate	VERB
ejpam-2022	105	11	to	to	ADP
ejpam-2022	105	12	e3	e3	VERB
ejpam-2022	105	13	by	by	ADP
ejpam-2022	105	14	h	h	NOUN
ejpam-2022	105	15	=	=	PUNCT
ejpam-2022	105	16	g(x0)[εg	g(x0)[εg	PROPN
ejpam-2022	106	1	+	+	CCONJ
ejpam-2022	107	1	1−	1−	NUM
ejpam-2022	107	2	εp	εp	NOUN
ejpam-2022	107	3	]	]	PUNCT
ejpam-2022	107	4	and	and	CCONJ
ejpam-2022	107	5	r	r	NOUN
ejpam-2022	107	6	=	=	PUNCT
ejpam-2022	107	7	γ(m−	γ(m−	PROPN
ejpam-2022	107	8	1)(s+	1)(s+	NUM
ejpam-2022	107	9	q(y0))[1−	q(y0))[1−	NUM
ejpam-2022	107	10	εq	εq	X
ejpam-2022	107	11	]	]	PUNCT
ejpam-2022	107	12	≤	≤	NUM
ejpam-2022	107	13	0	0	NUM
ejpam-2022	107	14	.	.	PUNCT
ejpam-2022	108	1	using	use	VERB
ejpam-2022	108	2	h	h	NOUN
ejpam-2022	108	3	+	+	CCONJ
ejpam-2022	108	4	r	r	NOUN
ejpam-2022	108	5	and	and	CCONJ
ejpam-2022	108	6	l	l	NOUN
ejpam-2022	108	7	=	=	SYM
ejpam-2022	108	8	hr−mγ(y0)2m−1p(x0)p′(x0	hr−mγ(y0)2m−1p(x0)p′(x0	PROPN
ejpam-2022	108	9	)	)	PUNCT
ejpam-2022	108	10	they	they	PRON
ejpam-2022	108	11	describe	describe	VERB
ejpam-2022	108	12	the	the	DET
ejpam-2022	108	13	stability	stability	NOUN
ejpam-2022	108	14	of	of	ADP
ejpam-2022	108	15	e3	e3	NOUN
ejpam-2022	108	16	.	.	PUNCT
ejpam-2022	109	1	we	we	PRON
ejpam-2022	109	2	follow	follow	VERB
ejpam-2022	109	3	the	the	DET
ejpam-2022	109	4	alternative	alternative	ADJ
ejpam-2022	109	5	offered	offer	VERB
ejpam-2022	109	6	bléair	bléair	NOUN
ejpam-2022	109	7	and	and	CCONJ
ejpam-2022	109	8	mackey	mackey	PROPN
ejpam-2022	109	9	,	,	PUNCT
ejpam-2022	109	10	[	[	X
ejpam-2022	109	11	2]which	2]which	NOUN
ejpam-2022	109	12	make	make	VERB
ejpam-2022	109	13	it	it	PRON
ejpam-2022	109	14	possible	possible	ADJ
ejpam-2022	109	15	an	an	DET
ejpam-2022	109	16	endogenous	endogenous	ADJ
ejpam-2022	109	17	explanation	explanation	NOUN
ejpam-2022	109	18	for	for	ADP
ejpam-2022	109	19	erratic	erratic	ADJ
ejpam-2022	109	20	behaviour	behaviour	NOUN
ejpam-2022	109	21	of	of	ADP
ejpam-2022	109	22	competition	competition	NOUN
ejpam-2022	109	23	with	with	ADP
ejpam-2022	109	24	memory	memory	NOUN
ejpam-2022	109	25	among	among	ADP
ejpam-2022	109	26	new	new	ADJ
ejpam-2022	109	27	technologies	technology	NOUN
ejpam-2022	109	28	available	available	ADJ
ejpam-2022	109	29	,	,	PUNCT
ejpam-2022	109	30	when	when	SCONJ
ejpam-2022	109	31	the	the	DET
ejpam-2022	109	32	innovation	innovation	NOUN
ejpam-2022	109	33	process	process	NOUN
ejpam-2022	109	34	operates	operate	VERB
ejpam-2022	109	35	around	around	ADP
ejpam-2022	109	36	equilibrium	equilibrium	NOUN
ejpam-2022	109	37	point	point	NOUN
ejpam-2022	109	38	.	.	PUNCT
ejpam-2022	110	1	the	the	DET
ejpam-2022	110	2	dynamics	dynamic	NOUN
ejpam-2022	110	3	is	be	AUX
ejpam-2022	110	4	described	describe	VERB
ejpam-2022	110	5	in	in	ADP
ejpam-2022	110	6	terms	term	NOUN
ejpam-2022	110	7	of	of	ADP
ejpam-2022	110	8	elasticities	elasticity	NOUN
ejpam-2022	110	9	(	(	PUNCT
ejpam-2022	110	10	see	see	VERB
ejpam-2022	110	11	also	also	ADV
ejpam-2022	110	12	[	[	X
ejpam-2022	110	13	8	8	NUM
ejpam-2022	110	14	]	]	NUM
ejpam-2022	110	15	)	)	PUNCT
ejpam-2022	110	16	.	.	PUNCT
ejpam-2022	111	1	we	we	PRON
ejpam-2022	111	2	also	also	ADV
ejpam-2022	111	3	show	show	VERB
ejpam-2022	111	4	that	that	SCONJ
ejpam-2022	111	5	the	the	DET
ejpam-2022	111	6	dynamics	dynamic	NOUN
ejpam-2022	111	7	of	of	ADP
ejpam-2022	111	8	the	the	DET
ejpam-2022	111	9	model	model	NOUN
ejpam-2022	111	10	(	(	PUNCT
ejpam-2022	111	11	1	1	X
ejpam-2022	111	12	)	)	PUNCT
ejpam-2022	111	13	depends	depend	VERB
ejpam-2022	111	14	,	,	PUNCT
ejpam-2022	111	15	essentially	essentially	ADV
ejpam-2022	111	16	,	,	PUNCT
ejpam-2022	111	17	on	on	ADP
ejpam-2022	111	18	delays	delay	NOUN
ejpam-2022	111	19	and	and	CCONJ
ejpam-2022	111	20	on	on	ADP
ejpam-2022	111	21	elasticities	elasticity	NOUN
ejpam-2022	111	22	of	of	ADP
ejpam-2022	111	23	the	the	DET
ejpam-2022	111	24	rate	rate	NOUN
ejpam-2022	111	25	of	of	ADP
ejpam-2022	111	26	evolution	evolution	NOUN
ejpam-2022	111	27	of	of	ADP
ejpam-2022	111	28	the	the	DET
ejpam-2022	111	29	consumers	consumer	NOUN
ejpam-2022	111	30	,	,	PUNCT
ejpam-2022	111	31	on	on	ADP
ejpam-2022	111	32	the	the	DET
ejpam-2022	111	33	functional	functional	ADJ
ejpam-2022	111	34	response	response	NOUN
ejpam-2022	111	35	rate	rate	NOUN
ejpam-2022	111	36	of	of	ADP
ejpam-2022	111	37	manufacturers	manufacturer	NOUN
ejpam-2022	111	38	and	and	CCONJ
ejpam-2022	111	39	on	on	ADP
ejpam-2022	111	40	the	the	DET
ejpam-2022	111	41	rate	rate	NOUN
ejpam-2022	111	42	of	of	ADP
ejpam-2022	111	43	specific	specific	ADJ
ejpam-2022	111	44	extinction	extinction	NOUN
ejpam-2022	111	45	of	of	ADP
ejpam-2022	111	46	manufacturers	manufacturer	NOUN
ejpam-2022	111	47	owing	owe	VERB
ejpam-2022	111	48	to	to	ADP
ejpam-2022	111	49	the	the	DET
ejpam-2022	111	50	intraspecific	intraspecific	NOUN
ejpam-2022	111	51	competition	competition	NOUN
ejpam-2022	111	52	among	among	ADP
ejpam-2022	111	53	then	then	ADV
ejpam-2022	111	54	manufacturers	manufacturer	NOUN
ejpam-2022	111	55	.	.	PUNCT
ejpam-2022	112	1	from	from	ADP
ejpam-2022	112	2	assumption	assumption	NOUN
ejpam-2022	112	3	2	2	NUM
ejpam-2022	112	4	it	it	PRON
ejpam-2022	112	5	follows	follow	VERB
ejpam-2022	112	6	that	that	PRON
ejpam-2022	112	7	b	b	X
ejpam-2022	112	8	>	>	X
ejpam-2022	112	9	0	0	NUM
ejpam-2022	112	10	,	,	PUNCT
ejpam-2022	112	11	c	c	X
ejpam-2022	112	12	>	>	X
ejpam-2022	112	13	a	a	DET
ejpam-2022	112	14	>	>	X
ejpam-2022	112	15	0	0	NUM
ejpam-2022	112	16	,	,	PUNCT
ejpam-2022	112	17	d	d	X
ejpam-2022	112	18	<	<	X
ejpam-2022	112	19	0	0	PROPN
ejpam-2022	112	20	,	,	PUNCT
ejpam-2022	112	21	εg	εg	X
ejpam-2022	112	22	<	<	X
ejpam-2022	112	23	0	0	PROPN
ejpam-2022	112	24	,	,	PUNCT
ejpam-2022	112	25	εp1	εp1	NOUN
ejpam-2022	112	26	>	>	X
ejpam-2022	113	1	2(1	2(1	NUM
ejpam-2022	113	2	+	+	SYM
ejpam-2022	113	3	εg	εg	NOUN
ejpam-2022	113	4	)	)	PUNCT
ejpam-2022	113	5	,	,	PUNCT
ejpam-2022	113	6	0	0	NUM
ejpam-2022	113	7	<	<	X
ejpam-2022	113	8	−εp0	−εp0	X
ejpam-2022	113	9	<	<	X
ejpam-2022	113	10	εp1	εp1	NOUN
ejpam-2022	113	11	,	,	PUNCT
ejpam-2022	113	12	εp	εp	ADP
ejpam-2022	113	13	=	=	NOUN
ejpam-2022	113	14	εp0	εp0	NOUN
ejpam-2022	113	15	+	+	NOUN
ejpam-2022	113	16	εp1	εp1	NOUN
ejpam-2022	113	17	2	2	NUM
ejpam-2022	113	18	,	,	PUNCT
ejpam-2022	113	19	εq	εq	VERB
ejpam-2022	113	20	=	=	PUNCT
ejpam-2022	113	21	m−	m−	PROPN
ejpam-2022	113	22	1	1	NUM
ejpam-2022	113	23	,	,	PUNCT
ejpam-2022	113	24	(	(	PUNCT
ejpam-2022	113	25	7	7	X
ejpam-2022	113	26	)	)	PUNCT
ejpam-2022	113	27	it	it	PRON
ejpam-2022	113	28	also	also	ADV
ejpam-2022	113	29	follows	follow	VERB
ejpam-2022	113	30	from	from	ADP
ejpam-2022	113	31	assumption	assumption	NOUN
ejpam-2022	113	32	2	2	NUM
ejpam-2022	113	33	that	that	SCONJ
ejpam-2022	113	34	,	,	PUNCT
ejpam-2022	113	35	2a	2a	NUM
ejpam-2022	113	36	=	=	PUNCT
ejpam-2022	113	37	−εp0	−εp0	X
ejpam-2022	113	38	τm	τm	ADP
ejpam-2022	113	39	g(x0	g(x0	NOUN
ejpam-2022	113	40	)	)	PUNCT
ejpam-2022	113	41	,	,	PUNCT
ejpam-2022	113	42	2b	2b	NUM
ejpam-2022	113	43	=	=	SYM
ejpam-2022	113	44	−εp0	−εp0	NOUN
ejpam-2022	113	45	g(x0	g(x0	NOUN
ejpam-2022	113	46	)	)	PUNCT
ejpam-2022	113	47	,	,	PUNCT
ejpam-2022	113	48	2c	2c	NUM
ejpam-2022	113	49	=	=	SYM
ejpam-2022	113	50	εp1	εp1	PROPN
ejpam-2022	113	51	τm	τm	ADP
ejpam-2022	113	52	g(x0	g(x0	PROPN
ejpam-2022	113	53	)	)	PUNCT
ejpam-2022	113	54	,	,	PUNCT
ejpam-2022	113	55	2d	2d	NOUN
ejpam-2022	113	56	=	=	SYM
ejpam-2022	113	57	g(x0)[2	g(x0)[2	PROPN
ejpam-2022	113	58	+	+	CCONJ
ejpam-2022	113	59	2εg	2εg	ADJ
ejpam-2022	113	60	−	−	NOUN
ejpam-2022	113	61	εp1	εp1	NOUN
ejpam-2022	113	62	]	]	PUNCT
ejpam-2022	113	63	,	,	PUNCT
ejpam-2022	113	64	moreover	moreover	ADV
ejpam-2022	113	65	a	a	DET
ejpam-2022	113	66	=	=	X
ejpam-2022	113	67	τm	τm	PROPN
ejpam-2022	113	68	b	b	PROPN
ejpam-2022	113	69	and	and	CCONJ
ejpam-2022	113	70	εp1	εp1	VERB
ejpam-2022	113	71	a	a	DET
ejpam-2022	113	72	=	=	PUNCT
ejpam-2022	113	73	−εp0	−εp0	PROPN
ejpam-2022	113	74	c.	c.	NOUN
ejpam-2022	113	75	(	(	PUNCT
ejpam-2022	113	76	8)	8)	NUM
ejpam-2022	113	77	so	so	ADV
ejpam-2022	113	78	,	,	PUNCT
ejpam-2022	113	79	we	we	PRON
ejpam-2022	113	80	can	can	AUX
ejpam-2022	113	81	check	check	VERB
ejpam-2022	113	82	,	,	PUNCT
ejpam-2022	113	83	directly	directly	ADV
ejpam-2022	113	84	,	,	PUNCT
ejpam-2022	113	85	that	that	DET
ejpam-2022	113	86	equation	equation	NOUN
ejpam-2022	113	87	(	(	PUNCT
ejpam-2022	113	88	3	3	X
ejpam-2022	113	89	)	)	PUNCT
ejpam-2022	113	90	is	be	AUX
ejpam-2022	113	91	equivalent	equivalent	ADJ
ejpam-2022	113	92	to	to	ADP
ejpam-2022	113	93	equation	equation	NOUN
ejpam-2022	113	94	λ2	λ2	NOUN
ejpam-2022	113	95	−	−	PROPN
ejpam-2022	113	96	g(x0	g(x0	NOUN
ejpam-2022	113	97	)	)	PUNCT
ejpam-2022	113	98	2	2	NUM
ejpam-2022	113	99	{	{	PUNCT
ejpam-2022	113	100	(	(	PUNCT
ejpam-2022	113	101	2	2	NUM
ejpam-2022	113	102	+	+	NUM
ejpam-2022	113	103	2εg	2εg	ADJ
ejpam-2022	113	104	−	−	NOUN
ejpam-2022	113	105	εp1	εp1	NOUN
ejpam-2022	113	106	)	)	PUNCT
ejpam-2022	113	107	λ+	λ+	PUNCT
ejpam-2022	113	108	(	(	PUNCT
ejpam-2022	113	109	−εp0	−εp0	NOUN
ejpam-2022	113	110	)	)	PUNCT
ejpam-2022	114	1	[	[	X
ejpam-2022	114	2	λe−λσ	λe−λσ	ADJ
ejpam-2022	114	3	+	+	PROPN
ejpam-2022	114	4	τme−λr]−	τme−λr]−	NOUN
ejpam-2022	114	5	εp1	εp1	NOUN
ejpam-2022	114	6	τm}=	τm}=	X
ejpam-2022	114	7	0	0	X
ejpam-2022	114	8	.	.	PUNCT
ejpam-2022	114	9	(	(	PUNCT
ejpam-2022	114	10	9	9	X
ejpam-2022	114	11	)	)	PUNCT
ejpam-2022	114	12	j.	j.	PROPN
ejpam-2022	114	13	dos	dos	PROPN
ejpam-2022	114	14	santos	santos	PROPN
ejpam-2022	114	15	,	,	PUNCT
ejpam-2022	114	16	k.	k.	PROPN
ejpam-2022	114	17	azevedo	azevedo	PROPN
ejpam-2022	114	18	and	and	CCONJ
ejpam-2022	114	19	p.	p.	PROPN
ejpam-2022	114	20	torresan	torresan	PROPN
ejpam-2022	114	21	/	/	SYM
ejpam-2022	114	22	eur	eur	PROPN
ejpam-2022	114	23	.	.	PUNCT
ejpam-2022	115	1	j.	j.	PROPN
ejpam-2022	115	2	pure	pure	PROPN
ejpam-2022	115	3	appl	appl	PROPN
ejpam-2022	115	4	.	.	PROPN
ejpam-2022	115	5	math	math	PROPN
ejpam-2022	115	6	,	,	PUNCT
ejpam-2022	115	7	7	7	NUM
ejpam-2022	115	8	(	(	PUNCT
ejpam-2022	115	9	2014	2014	NUM
ejpam-2022	115	10	)	)	PUNCT
ejpam-2022	115	11	,	,	PUNCT
ejpam-2022	115	12	156	156	NUM
ejpam-2022	115	13	-	-	SYM
ejpam-2022	115	14	165	165	NUM
ejpam-2022	115	15	160	160	NUM
ejpam-2022	115	16	2	2	NUM
ejpam-2022	115	17	.	.	PUNCT
ejpam-2022	116	1	stability	stability	NOUN
ejpam-2022	116	2	for	for	ADP
ejpam-2022	116	3	a	a	DET
ejpam-2022	116	4	moment	moment	NOUN
ejpam-2022	116	5	assume	assume	VERB
ejpam-2022	116	6	that	that	SCONJ
ejpam-2022	116	7	in	in	ADP
ejpam-2022	116	8	(	(	PUNCT
ejpam-2022	116	9	8)	8)	NUM
ejpam-2022	116	10	either	either	DET
ejpam-2022	116	11	2	2	NUM
ejpam-2022	116	12	+	+	NUM
ejpam-2022	116	13	2εg	2εg	ADJ
ejpam-2022	116	14	−	−	NOUN
ejpam-2022	116	15	εp1	εp1	NOUN
ejpam-2022	116	16	=	=	SYM
ejpam-2022	116	17	0	0	PUNCT
ejpam-2022	116	18	and	and	CCONJ
ejpam-2022	116	19	εp1	εp1	VERB
ejpam-2022	116	20	<	<	X
ejpam-2022	116	21	−εp0	−εp0	NOUN
ejpam-2022	116	22	or	or	CCONJ
ejpam-2022	116	23	−εp0	−εp0	NOUN
ejpam-2022	116	24	τm	τm	ADP
ejpam-2022	116	25	g(x0	g(x0	NOUN
ejpam-2022	116	26	)	)	PUNCT
ejpam-2022	116	27	>	>	X
ejpam-2022	116	28	0	0	PUNCT
ejpam-2022	116	29	and	and	CCONJ
ejpam-2022	116	30	εp1	εp1	PROPN
ejpam-2022	116	31	τm	τm	ADP
ejpam-2022	116	32	g(x0	g(x0	PROPN
ejpam-2022	116	33	)	)	PUNCT
ejpam-2022	116	34	<	<	X
ejpam-2022	116	35	0	0	NUM
ejpam-2022	116	36	,	,	PUNCT
ejpam-2022	116	37	so	so	SCONJ
ejpam-2022	116	38	it	it	PRON
ejpam-2022	116	39	is	be	AUX
ejpam-2022	116	40	not	not	PART
ejpam-2022	116	41	true	true	ADJ
ejpam-2022	116	42	that	that	SCONJ
ejpam-2022	116	43	all	all	DET
ejpam-2022	116	44	roots	root	NOUN
ejpam-2022	116	45	of	of	ADP
ejpam-2022	116	46	the	the	DET
ejpam-2022	116	47	equation	equation	NOUN
ejpam-2022	116	48	(	(	PUNCT
ejpam-2022	116	49	9	9	X
ejpam-2022	116	50	)	)	PUNCT
ejpam-2022	116	51	have	have	VERB
ejpam-2022	116	52	negative	negative	ADJ
ejpam-2022	116	53	real	real	ADJ
ejpam-2022	116	54	part	part	NOUN
ejpam-2022	116	55	,	,	PUNCT
ejpam-2022	116	56	once	once	ADV
ejpam-2022	116	57	on	on	ADP
ejpam-2022	116	58	the	the	DET
ejpam-2022	116	59	real	real	ADJ
ejpam-2022	116	60	axis	axis	NOUN
ejpam-2022	116	61	h(0	h(0	PROPN
ejpam-2022	116	62	)	)	PUNCT
ejpam-2022	116	63	=	=	PUNCT
ejpam-2022	117	1	τm[εp1	τm[εp1	PUNCT
ejpam-2022	118	1	−	−	NOUN
ejpam-2022	118	2	(	(	PUNCT
ejpam-2022	118	3	−εp0	−εp0	NOUN
ejpam-2022	118	4	)	)	PUNCT
ejpam-2022	118	5	]	]	PUNCT
ejpam-2022	119	1	<	<	X
ejpam-2022	119	2	0	0	PUNCT
ejpam-2022	119	3	and	and	CCONJ
ejpam-2022	119	4	h(λ)→∞	h(λ)→∞	NOUN
ejpam-2022	119	5	as	as	ADP
ejpam-2022	119	6	λ	λ	PROPN
ejpam-2022	119	7	→	→	SYM
ejpam-2022	119	8	∞	∞	PROPN
ejpam-2022	119	9	,	,	PUNCT
ejpam-2022	119	10	so	so	ADV
ejpam-2022	119	11	,	,	PUNCT
ejpam-2022	119	12	there	there	PRON
ejpam-2022	119	13	will	will	AUX
ejpam-2022	119	14	be	be	AUX
ejpam-2022	119	15	unbounded	unbounded	ADJ
ejpam-2022	119	16	solutions	solution	NOUN
ejpam-2022	119	17	of	of	ADP
ejpam-2022	119	18	(	(	PUNCT
ejpam-2022	119	19	1	1	NUM
ejpam-2022	119	20	)	)	PUNCT
ejpam-2022	119	21	and	and	CCONJ
ejpam-2022	119	22	we	we	PRON
ejpam-2022	119	23	do	do	AUX
ejpam-2022	119	24	not	not	PART
ejpam-2022	119	25	uniform	uniform	VERB
ejpam-2022	119	26	ultimate	ultimate	ADJ
ejpam-2022	119	27	boundedness	boundedness	NOUN
ejpam-2022	119	28	.	.	PUNCT
ejpam-2022	120	1	as	as	SCONJ
ejpam-2022	120	2	can	can	AUX
ejpam-2022	120	3	been	be	AUX
ejpam-2022	120	4	seen	see	VERB
ejpam-2022	120	5	,	,	PUNCT
ejpam-2022	120	6	from	from	ADP
ejpam-2022	120	7	certain	certain	ADJ
ejpam-2022	120	8	combination	combination	NOUN
ejpam-2022	120	9	of	of	ADP
ejpam-2022	120	10	the	the	DET
ejpam-2022	120	11	elasticities	elasticity	NOUN
ejpam-2022	120	12	with	with	ADP
ejpam-2022	120	13	time	time	NOUN
ejpam-2022	120	14	delay	delay	NOUN
ejpam-2022	120	15	,	,	PUNCT
ejpam-2022	120	16	erratic	erratic	ADJ
ejpam-2022	120	17	changes	change	NOUN
ejpam-2022	120	18	can	can	AUX
ejpam-2022	120	19	arise	arise	VERB
ejpam-2022	120	20	around	around	ADP
ejpam-2022	120	21	their	their	PRON
ejpam-2022	120	22	fundamental	fundamental	ADJ
ejpam-2022	120	23	values	value	NOUN
ejpam-2022	120	24	,	,	PUNCT
ejpam-2022	120	25	which	which	PRON
ejpam-2022	120	26	causes	cause	VERB
ejpam-2022	120	27	instability	instability	NOUN
ejpam-2022	120	28	in	in	ADP
ejpam-2022	120	29	the	the	DET
ejpam-2022	120	30	complex	complex	ADJ
ejpam-2022	120	31	system	system	NOUN
ejpam-2022	120	32	of	of	ADP
ejpam-2022	120	33	competition	competition	NOUN
ejpam-2022	120	34	among	among	ADP
ejpam-2022	120	35	the	the	DET
ejpam-2022	120	36	new	new	ADJ
ejpam-2022	120	37	technologies	technology	NOUN
ejpam-2022	120	38	available	available	ADJ
ejpam-2022	120	39	.	.	PUNCT
ejpam-2022	121	1	remark	remark	NOUN
ejpam-2022	121	2	2	2	NUM
ejpam-2022	121	3	.	.	PUNCT
ejpam-2022	121	4	from	from	ADP
ejpam-2022	121	5	0	0	NUM
ejpam-2022	121	6	<	<	X
ejpam-2022	121	7	17(−εp0	17(−εp0	NUM
ejpam-2022	121	8	)	)	PUNCT
ejpam-2022	121	9	<	<	X
ejpam-2022	121	10	2(3	2(3	NUM
ejpam-2022	121	11	+	+	SYM
ejpam-2022	121	12	p	p	NOUN
ejpam-2022	121	13	22	22	NUM
ejpam-2022	121	14	p	p	NOUN
ejpam-2022	121	15	2−	2−	NUM
ejpam-2022	122	1	p	p	NOUN
ejpam-2022	122	2	2)εp1	2)εp1	NUM
ejpam-2022	122	3	it	it	PRON
ejpam-2022	122	4	follows	follow	VERB
ejpam-2022	122	5	that	that	SCONJ
ejpam-2022	122	6	ρ0	ρ0	PROPN
ejpam-2022	122	7	=	=	NOUN
ejpam-2022	122	8	:	:	PUNCT
ejpam-2022	122	9	�	�	PROPN
ejpam-2022	122	10	32(ε2	32(ε2	NUM
ejpam-2022	122	11	p1	p1	NOUN
ejpam-2022	122	12	−	−	PUNCT
ejpam-2022	122	13	ε2	ε2	ADJ
ejpam-2022	122	14	p0	p0	NOUN
ejpam-2022	122	15	)	)	PUNCT
ejpam-2022	122	16	c	c	PROPN
ejpam-2022	122	17	8ε2	8ε2	NUM
ejpam-2022	122	18	p1	p1	NOUN
ejpam-2022	122	19	−	−	PROPN
ejpam-2022	122	20	17ε2	17ε2	NUM
ejpam-2022	122	21	p0	p0	PROPN
ejpam-2022	122	22	�	�	PROPN
ejpam-2022	122	23	1	1	NUM
ejpam-2022	122	24	2	2	NUM
ejpam-2022	122	25	<	<	X
ejpam-2022	122	26	�	�	PROPN
ejpam-2022	122	27	8(ε2	8(ε2	PROPN
ejpam-2022	122	28	p1	p1	NOUN
ejpam-2022	122	29	+	+	CCONJ
ejpam-2022	122	30	ε2	ε2	ADJ
ejpam-2022	122	31	p0	p0	NOUN
ejpam-2022	122	32	)	)	PUNCT
ejpam-2022	122	33	c	c	PROPN
ejpam-2022	122	34	ε2	ε2	PROPN
ejpam-2022	122	35	p1	p1	NOUN
ejpam-2022	122	36	(	(	PUNCT
ejpam-2022	122	37	3−	3−	NUM
ejpam-2022	122	38	p	p	NOUN
ejpam-2022	122	39	2	2	NUM
ejpam-2022	122	40	)	)	PUNCT
ejpam-2022	122	41	�	�	NOUN
ejpam-2022	122	42	1	1	NUM
ejpam-2022	122	43	2	2	NUM
ejpam-2022	122	44	=	=	NOUN
ejpam-2022	122	45	:	:	PUNCT
ejpam-2022	122	46	ρ1	ρ1	NOUN
ejpam-2022	122	47	.	.	PUNCT
ejpam-2022	123	1	(	(	PUNCT
ejpam-2022	123	2	10	10	NUM
ejpam-2022	123	3	)	)	PUNCT
ejpam-2022	123	4	for	for	ADP
ejpam-2022	123	5	a	a	DET
ejpam-2022	123	6	sake	sake	NOUN
ejpam-2022	123	7	of	of	ADP
ejpam-2022	123	8	simplicity	simplicity	NOUN
ejpam-2022	123	9	,	,	PUNCT
ejpam-2022	123	10	let	let	VERB
ejpam-2022	123	11	be	be	AUX
ejpam-2022	123	12	ρ2	ρ2	VERB
ejpam-2022	123	13	=	=	NOUN
ejpam-2022	123	14	:	:	PUNCT
ejpam-2022	123	15	8	8	NUM
ejpam-2022	123	16	p	p	NOUN
ejpam-2022	123	17	2ε	2ε	NOUN
ejpam-2022	123	18	3	3	NUM
ejpam-2022	123	19	2	2	NUM
ejpam-2022	123	20	p1	p1	NOUN
ejpam-2022	123	21	(	(	PUNCT
ejpam-2022	123	22	p	p	PROPN
ejpam-2022	123	23	2	2	NUM
ejpam-2022	123	24	+	+	NOUN
ejpam-2022	123	25	6)ε	6)ε	ADJ
ejpam-2022	123	26	3	3	NUM
ejpam-2022	123	27	2	2	NUM
ejpam-2022	123	28	p1	p1	NOUN
ejpam-2022	123	29	+	+	NOUN
ejpam-2022	123	30	2	2	NUM
ejpam-2022	123	31	p	p	NOUN
ejpam-2022	123	32	εp1	εp1	NOUN
ejpam-2022	123	33	+	+	CCONJ
ejpam-2022	123	34	q	q	PROPN
ejpam-2022	123	35	2(−εp0	2(−εp0	NUM
ejpam-2022	123	36	)	)	PUNCT
ejpam-2022	123	37	theorem	theorem	NOUN
ejpam-2022	123	38	1	1	NUM
ejpam-2022	123	39	.	.	PUNCT
ejpam-2022	124	1	in	in	ADP
ejpam-2022	124	2	addition	addition	NOUN
ejpam-2022	124	3	to	to	ADP
ejpam-2022	124	4	assumption	assumption	NOUN
ejpam-2022	124	5	1	1	NUM
ejpam-2022	124	6	and	and	CCONJ
ejpam-2022	124	7	2	2	NUM
ejpam-2022	124	8	we	we	PRON
ejpam-2022	124	9	assume	assume	VERB
ejpam-2022	124	10	æ	æ	PROPN
ejpam-2022	124	11	g(x0)[2	g(x0)[2	PROPN
ejpam-2022	124	12	+	+	PROPN
ejpam-2022	124	13	2εg	2εg	ADJ
ejpam-2022	124	14	−	−	NOUN
ejpam-2022	124	15	εp1	εp1	NOUN
ejpam-2022	124	16	]	]	X
ejpam-2022	124	17	<	<	X
ejpam-2022	124	18	min{−	min{−	X
ejpam-2022	124	19	æ	æ	NOUN
ejpam-2022	124	20	2g(x0)(−εp0	2g(x0)(−εp0	NUM
ejpam-2022	124	21	)	)	PUNCT
ejpam-2022	124	22	;	;	PUNCT
ejpam-2022	124	23	−2	−2	PROPN
ejpam-2022	124	24	p	p	PROPN
ejpam-2022	124	25	εp1	εp1	NOUN
ejpam-2022	124	26	τm	τm	ADP
ejpam-2022	124	27	}	}	PUNCT
ejpam-2022	124	28	.	.	PUNCT
ejpam-2022	125	1	(	(	PUNCT
ejpam-2022	125	2	11	11	NUM
ejpam-2022	125	3	)	)	PUNCT
ejpam-2022	125	4	if	if	SCONJ
ejpam-2022	125	5	0	0	NUM
ejpam-2022	125	6	<	<	X
ejpam-2022	125	7	r	r	X
ejpam-2022	125	8	<	<	X
ejpam-2022	125	9	σ	σ	X
ejpam-2022	125	10	<	<	X
ejpam-2022	125	11	π	π	PROPN
ejpam-2022	125	12	2	2	NUM
ejpam-2022	125	13	,	,	PUNCT
ejpam-2022	125	14	0	0	NUM
ejpam-2022	125	15	<	<	X
ejpam-2022	125	16	17(−εp0	17(−εp0	NUM
ejpam-2022	125	17	)	)	PUNCT
ejpam-2022	125	18	<	<	X
ejpam-2022	125	19	2(3	2(3	NUM
ejpam-2022	125	20	+	+	SYM
ejpam-2022	125	21	p	p	NOUN
ejpam-2022	125	22	22	22	NUM
ejpam-2022	125	23	p	p	NOUN
ejpam-2022	125	24	2−	2−	NUM
ejpam-2022	125	25	p	p	NOUN
ejpam-2022	125	26	2)εp1	2)εp1	NUM
ejpam-2022	125	27	and	and	CCONJ
ejpam-2022	125	28	ρ0	ρ0	PRON
ejpam-2022	125	29	<	<	X
ejpam-2022	125	30	(	(	PUNCT
ejpam-2022	125	31	−d)<min{ρ1,ρ2	−d)<min{ρ1,ρ2	X
ejpam-2022	125	32	}	}	PUNCT
ejpam-2022	125	33	(	(	PUNCT
ejpam-2022	125	34	12	12	NUM
ejpam-2022	125	35	)	)	PUNCT
ejpam-2022	125	36	the	the	DET
ejpam-2022	125	37	equilibrium	equilibrium	NOUN
ejpam-2022	125	38	point	point	NOUN
ejpam-2022	125	39	p0	p0	NOUN
ejpam-2022	125	40	is	be	AUX
ejpam-2022	125	41	locally	locally	ADV
ejpam-2022	125	42	asymptotically	asymptotically	ADV
ejpam-2022	125	43	stable	stable	ADJ
ejpam-2022	125	44	(	(	PUNCT
ejpam-2022	125	45	d	d	NOUN
ejpam-2022	125	46	is	be	AUX
ejpam-2022	125	47	defined	define	VERB
ejpam-2022	125	48	in	in	ADP
ejpam-2022	125	49	(	(	PUNCT
ejpam-2022	125	50	8)	8)	NUM
ejpam-2022	125	51	)	)	PUNCT
ejpam-2022	125	52	.	.	PUNCT
ejpam-2022	126	1	proof	proof	NOUN
ejpam-2022	126	2	.	.	PUNCT
ejpam-2022	127	1	using	use	VERB
ejpam-2022	127	2	(	(	PUNCT
ejpam-2022	127	3	7	7	NUM
ejpam-2022	127	4	)	)	PUNCT
ejpam-2022	127	5	,	,	PUNCT
ejpam-2022	127	6	(	(	PUNCT
ejpam-2022	127	7	8)	8)	NUM
ejpam-2022	127	8	and	and	CCONJ
ejpam-2022	127	9	since	since	SCONJ
ejpam-2022	127	10	0	0	NUM
ejpam-2022	127	11	<	<	X
ejpam-2022	127	12	−d	−d	PROPN
ejpam-2022	127	13	<	<	X
ejpam-2022	127	14	ρ2	ρ2	PROPN
ejpam-2022	127	15	,	,	PUNCT
ejpam-2022	127	16	we	we	PRON
ejpam-2022	127	17	have	have	VERB
ejpam-2022	127	18	ȳ	ȳ	PROPN
ejpam-2022	127	19	<	<	X
ejpam-2022	127	20	2	2	NUM
ejpam-2022	127	21	that	that	PRON
ejpam-2022	127	22	is	be	AUX
ejpam-2022	127	23	a	a	DET
ejpam-2022	127	24	condition	condition	NOUN
ejpam-2022	127	25	of	of	ADP
ejpam-2022	127	26	the	the	DET
ejpam-2022	127	27	proposition	proposition	NOUN
ejpam-2022	127	28	1	1	NUM
ejpam-2022	127	29	.	.	PUNCT
ejpam-2022	128	1	it	it	PRON
ejpam-2022	128	2	follows	follow	VERB
ejpam-2022	128	3	from	from	ADP
ejpam-2022	128	4	ρ0	ρ0	PROPN
ejpam-2022	128	5	<	<	X
ejpam-2022	128	6	(	(	PUNCT
ejpam-2022	128	7	−d	−d	PROPN
ejpam-2022	128	8	)	)	PUNCT
ejpam-2022	128	9	<	<	X
ejpam-2022	128	10	ρ1	ρ1	NOUN
ejpam-2022	128	11	that	that	PRON
ejpam-2022	128	12	4a+(b+d)2	4a+(b+d)2	VERB
ejpam-2022	128	13	<	<	NOUN
ejpam-2022	128	14	4c	4c	NOUN
ejpam-2022	128	15	and	and	CCONJ
ejpam-2022	128	16	b	b	NOUN
ejpam-2022	128	17	<	<	X
ejpam-2022	128	18	2	2	NUM
ejpam-2022	128	19	p	p	NOUN
ejpam-2022	128	20	2υ(a	2υ(a	NUM
ejpam-2022	128	21	,	,	PUNCT
ejpam-2022	128	22	c)(d2	c)(d2	PROPN
ejpam-2022	128	23	−	−	PROPN
ejpam-2022	128	24	2c	2c	NUM
ejpam-2022	128	25	)	)	PUNCT
ejpam-2022	128	26	,	,	PUNCT
ejpam-2022	128	27	where	where	SCONJ
ejpam-2022	128	28	υ(a	υ(a	NOUN
ejpam-2022	128	29	,	,	PUNCT
ejpam-2022	128	30	c	c	NOUN
ejpam-2022	128	31	)	)	PUNCT
ejpam-2022	128	32	=	=	PUNCT
ejpam-2022	129	1	c2−a2	c2−a2	PROPN
ejpam-2022	129	2	8c2+a2	8c2+a2	NUM
ejpam-2022	129	3	.	.	PUNCT
ejpam-2022	130	1	since	since	SCONJ
ejpam-2022	130	2	(	(	PUNCT
ejpam-2022	130	3	11	11	NUM
ejpam-2022	130	4	)	)	PUNCT
ejpam-2022	130	5	holds	hold	VERB
ejpam-2022	130	6	,	,	PUNCT
ejpam-2022	130	7	we	we	PRON
ejpam-2022	130	8	can	can	AUX
ejpam-2022	130	9	verify	verify	VERB
ejpam-2022	130	10	that	that	SCONJ
ejpam-2022	130	11	the	the	DET
ejpam-2022	130	12	conditions	condition	NOUN
ejpam-2022	130	13	of	of	ADP
ejpam-2022	130	14	theorem	theorem	ADJ
ejpam-2022	130	15	1	1	NUM
ejpam-2022	130	16	and	and	CCONJ
ejpam-2022	130	17	proposition	proposition	NOUN
ejpam-2022	130	18	1	1	NUM
ejpam-2022	130	19	of	of	ADP
ejpam-2022	130	20	the	the	DET
ejpam-2022	130	21	appendix	appendix	NOUN
ejpam-2022	130	22	are	be	AUX
ejpam-2022	130	23	equivalent	equivalent	ADJ
ejpam-2022	130	24	(	(	PUNCT
ejpam-2022	130	25	see	see	VERB
ejpam-2022	130	26	remark	remark	NOUN
ejpam-2022	130	27	2	2	NUM
ejpam-2022	130	28	)	)	PUNCT
ejpam-2022	130	29	.	.	PUNCT
ejpam-2022	131	1	then	then	ADV
ejpam-2022	131	2	under	under	ADP
ejpam-2022	131	3	conditions	condition	NOUN
ejpam-2022	131	4	of	of	ADP
ejpam-2022	131	5	theorem	theorem	NOUN
ejpam-2022	131	6	(	(	PUNCT
ejpam-2022	131	7	1	1	NUM
ejpam-2022	131	8	)	)	PUNCT
ejpam-2022	131	9	,	,	PUNCT
ejpam-2022	131	10	(	(	PUNCT
ejpam-2022	131	11	9	9	X
ejpam-2022	131	12	)	)	PUNCT
ejpam-2022	131	13	all	all	DET
ejpam-2022	131	14	solutions	solution	NOUN
ejpam-2022	131	15	has	have	VERB
ejpam-2022	131	16	negative	negative	ADJ
ejpam-2022	131	17	real	real	ADJ
ejpam-2022	131	18	part	part	NOUN
ejpam-2022	131	19	.	.	PUNCT
ejpam-2022	132	1	it	it	PRON
ejpam-2022	132	2	follows	follow	VERB
ejpam-2022	132	3	from	from	ADP
ejpam-2022	132	4	proposition	proposition	NOUN
ejpam-2022	132	5	1	1	NUM
ejpam-2022	132	6	that	that	SCONJ
ejpam-2022	132	7	the	the	DET
ejpam-2022	132	8	equilibrium	equilibrium	NOUN
ejpam-2022	132	9	point	point	NOUN
ejpam-2022	132	10	p0	p0	NOUN
ejpam-2022	132	11	is	be	AUX
ejpam-2022	132	12	locally	locally	ADV
ejpam-2022	132	13	asymptocally	asymptocally	ADV
ejpam-2022	132	14	stable	stable	ADJ
ejpam-2022	132	15	.	.	PUNCT
ejpam-2022	133	1	theorem	theorem	NOUN
ejpam-2022	133	2	1	1	NUM
ejpam-2022	133	3	gives	give	VERB
ejpam-2022	133	4	sufficient	sufficient	ADJ
ejpam-2022	133	5	conditions	condition	NOUN
ejpam-2022	133	6	to	to	PART
ejpam-2022	133	7	ensure	ensure	VERB
ejpam-2022	133	8	that	that	SCONJ
ejpam-2022	133	9	the	the	DET
ejpam-2022	133	10	characteristic	characteristic	ADJ
ejpam-2022	133	11	roots	root	NOUN
ejpam-2022	133	12	have	have	VERB
ejpam-2022	133	13	negative	negative	ADJ
ejpam-2022	133	14	real	real	ADJ
ejpam-2022	133	15	parts	part	NOUN
ejpam-2022	133	16	.	.	PUNCT
ejpam-2022	134	1	this	this	PRON
ejpam-2022	134	2	determines	determine	VERB
ejpam-2022	134	3	local	local	ADJ
ejpam-2022	134	4	stability	stability	NOUN
ejpam-2022	134	5	of	of	ADP
ejpam-2022	134	6	the	the	DET
ejpam-2022	134	7	equilibrium	equilibrium	NOUN
ejpam-2022	134	8	point	point	NOUN
ejpam-2022	134	9	for	for	ADP
ejpam-2022	134	10	system	system	NOUN
ejpam-2022	134	11	(	(	PUNCT
ejpam-2022	134	12	1	1	NUM
ejpam-2022	134	13	)	)	PUNCT
ejpam-2022	134	14	.	.	PUNCT
ejpam-2022	135	1	under	under	ADP
ejpam-2022	135	2	such	such	ADJ
ejpam-2022	135	3	conditions	condition	NOUN
ejpam-2022	135	4	,	,	PUNCT
ejpam-2022	135	5	markets	market	NOUN
ejpam-2022	135	6	agents	agent	NOUN
ejpam-2022	135	7	have	have	VERB
ejpam-2022	135	8	to	to	PART
ejpam-2022	135	9	take	take	VERB
ejpam-2022	135	10	into	into	ADP
ejpam-2022	135	11	account	account	NOUN
ejpam-2022	135	12	that	that	DET
ejpam-2022	135	13	dependence	dependence	NOUN
ejpam-2022	135	14	on	on	ADP
ejpam-2022	135	15	memory	memory	NOUN
ejpam-2022	135	16	in	in	ADP
ejpam-2022	135	17	production	production	NOUN
ejpam-2022	135	18	of	of	ADP
ejpam-2022	135	19	innovation	innovation	NOUN
ejpam-2022	135	20	is	be	AUX
ejpam-2022	135	21	harmless	harmless	ADJ
ejpam-2022	135	22	,	,	PUNCT
ejpam-2022	135	23	as	as	SCONJ
ejpam-2022	135	24	for	for	ADP
ejpam-2022	135	25	as	as	SCONJ
ejpam-2022	135	26	the	the	DET
ejpam-2022	135	27	economic	economic	ADJ
ejpam-2022	135	28	system	system	NOUN
ejpam-2022	135	29	operates	operate	VERB
ejpam-2022	135	30	close	close	ADJ
ejpam-2022	135	31	enough	enough	ADV
ejpam-2022	135	32	to	to	ADP
ejpam-2022	135	33	the	the	DET
ejpam-2022	135	34	equilibrium	equilibrium	NOUN
ejpam-2022	135	35	point	point	NOUN
ejpam-2022	135	36	and	and	CCONJ
ejpam-2022	135	37	indicators	indicator	NOUN
ejpam-2022	135	38	of	of	ADP
ejpam-2022	135	39	technological	technological	ADJ
ejpam-2022	135	40	innovation	innovation	NOUN
ejpam-2022	135	41	process	process	NOUN
ejpam-2022	135	42	are	be	AUX
ejpam-2022	135	43	stable	stable	ADJ
ejpam-2022	135	44	.	.	PUNCT
ejpam-2022	136	1	we	we	PRON
ejpam-2022	136	2	have	have	AUX
ejpam-2022	136	3	demonstrated	demonstrate	VERB
ejpam-2022	136	4	how	how	SCONJ
ejpam-2022	136	5	market	market	NOUN
ejpam-2022	136	6	planners	planner	NOUN
ejpam-2022	136	7	and	and	CCONJ
ejpam-2022	136	8	technology	technology	NOUN
ejpam-2022	136	9	planners	planner	NOUN
ejpam-2022	136	10	must	must	AUX
ejpam-2022	136	11	search	search	VERB
ejpam-2022	136	12	for	for	ADP
ejpam-2022	136	13	information	information	NOUN
ejpam-2022	136	14	in	in	ADP
ejpam-2022	136	15	the	the	DET
ejpam-2022	136	16	memory	memory	NOUN
ejpam-2022	136	17	of	of	ADP
ejpam-2022	136	18	the	the	DET
ejpam-2022	136	19	system	system	NOUN
ejpam-2022	136	20	economic	economic	ADJ
ejpam-2022	136	21	to	to	PART
ejpam-2022	136	22	improve	improve	VERB
ejpam-2022	136	23	the	the	DET
ejpam-2022	136	24	accuracy	accuracy	NOUN
ejpam-2022	136	25	of	of	ADP
ejpam-2022	136	26	them	they	PRON
ejpam-2022	136	27	actions	action	NOUN
ejpam-2022	136	28	and	and	CCONJ
ejpam-2022	136	29	make	make	VERB
ejpam-2022	136	30	them	they	PRON
ejpam-2022	136	31	efficient	efficient	ADJ
ejpam-2022	136	32	to	to	PART
ejpam-2022	136	33	choose	choose	VERB
ejpam-2022	136	34	reliable	reliable	ADJ
ejpam-2022	136	35	strategies	strategy	NOUN
ejpam-2022	136	36	in	in	ADP
ejpam-2022	136	37	order	order	NOUN
ejpam-2022	136	38	to	to	PART
ejpam-2022	136	39	achieve	achieve	VERB
ejpam-2022	136	40	them	they	PRON
ejpam-2022	136	41	goals	goal	NOUN
ejpam-2022	136	42	.	.	PUNCT
ejpam-2022	137	1	j.	j.	PROPN
ejpam-2022	137	2	dos	dos	PROPN
ejpam-2022	137	3	santos	santos	PROPN
ejpam-2022	137	4	,	,	PUNCT
ejpam-2022	137	5	k.	k.	PROPN
ejpam-2022	137	6	azevedo	azevedo	PROPN
ejpam-2022	137	7	and	and	CCONJ
ejpam-2022	137	8	p.	p.	PROPN
ejpam-2022	137	9	torresan	torresan	PROPN
ejpam-2022	137	10	/	/	SYM
ejpam-2022	137	11	eur	eur	PROPN
ejpam-2022	137	12	.	.	PUNCT
ejpam-2022	138	1	j.	j.	PROPN
ejpam-2022	138	2	pure	pure	PROPN
ejpam-2022	138	3	appl	appl	PROPN
ejpam-2022	138	4	.	.	PROPN
ejpam-2022	138	5	math	math	PROPN
ejpam-2022	138	6	,	,	PUNCT
ejpam-2022	138	7	7	7	NUM
ejpam-2022	138	8	(	(	PUNCT
ejpam-2022	138	9	2014	2014	NUM
ejpam-2022	138	10	)	)	PUNCT
ejpam-2022	138	11	,	,	PUNCT
ejpam-2022	138	12	156	156	NUM
ejpam-2022	138	13	-	-	SYM
ejpam-2022	138	14	165	165	NUM
ejpam-2022	138	15	161	161	NUM
ejpam-2022	138	16	3	3	NUM
ejpam-2022	138	17	.	.	PUNCT
ejpam-2022	139	1	fluctuations	fluctuation	NOUN
ejpam-2022	139	2	nevertheless	nevertheless	ADV
ejpam-2022	139	3	,	,	PUNCT
ejpam-2022	139	4	once	once	SCONJ
ejpam-2022	139	5	some	some	DET
ejpam-2022	139	6	parameters	parameter	NOUN
ejpam-2022	139	7	pass	pass	VERB
ejpam-2022	139	8	through	through	ADP
ejpam-2022	139	9	critical	critical	ADJ
ejpam-2022	139	10	values	value	NOUN
ejpam-2022	139	11	,	,	PUNCT
ejpam-2022	139	12	theorem	theorem	VERB
ejpam-2022	139	13	2	2	NUM
ejpam-2022	139	14	tells	tell	VERB
ejpam-2022	139	15	us	we	PRON
ejpam-2022	139	16	that	that	SCONJ
ejpam-2022	139	17	the	the	DET
ejpam-2022	139	18	system	system	NOUN
ejpam-2022	139	19	(	(	PUNCT
ejpam-2022	139	20	1	1	X
ejpam-2022	139	21	)	)	PUNCT
ejpam-2022	139	22	loses	lose	VERB
ejpam-2022	139	23	stability	stability	NOUN
ejpam-2022	139	24	and	and	CCONJ
ejpam-2022	139	25	a	a	DET
ejpam-2022	139	26	hopf	hopf	ADJ
ejpam-2022	139	27	bifurcation	bifurcation	NOUN
ejpam-2022	139	28	will	will	AUX
ejpam-2022	139	29	take	take	VERB
ejpam-2022	139	30	place	place	NOUN
ejpam-2022	139	31	,	,	PUNCT
ejpam-2022	139	32	that	that	ADV
ejpam-2022	139	33	is	is	ADV
ejpam-2022	139	34	,	,	PUNCT
ejpam-2022	139	35	a	a	DET
ejpam-2022	139	36	family	family	NOUN
ejpam-2022	139	37	of	of	ADP
ejpam-2022	139	38	periodic	periodic	ADJ
ejpam-2022	139	39	orbits	orbit	NOUN
ejpam-2022	139	40	bifurcates	bifurcate	NOUN
ejpam-2022	139	41	from	from	ADP
ejpam-2022	139	42	the	the	DET
ejpam-2022	139	43	positive	positive	ADJ
ejpam-2022	139	44	equilibrium	equilibrium	NOUN
ejpam-2022	139	45	point	point	NOUN
ejpam-2022	139	46	.	.	PUNCT
ejpam-2022	140	1	theorem	theorem	NOUN
ejpam-2022	140	2	2	2	NUM
ejpam-2022	140	3	.	.	PUNCT
ejpam-2022	141	1	in	in	ADP
ejpam-2022	141	2	addition	addition	NOUN
ejpam-2022	141	3	to	to	ADP
ejpam-2022	141	4	assumption	assumption	NOUN
ejpam-2022	141	5	1	1	NUM
ejpam-2022	141	6	and	and	CCONJ
ejpam-2022	141	7	2	2	NUM
ejpam-2022	141	8	we	we	PRON
ejpam-2022	141	9	assume	assume	VERB
ejpam-2022	141	10	that	that	SCONJ
ejpam-2022	141	11	0	0	NUM
ejpam-2022	141	12	<	<	X
ejpam-2022	141	13	q	q	X
ejpam-2022	141	14	(	(	PUNCT
ejpam-2022	141	15	−εp0	−εp0	NOUN
ejpam-2022	141	16	)	)	PUNCT
ejpam-2022	141	17	g(x0	g(x0	NOUN
ejpam-2022	141	18	)	)	PUNCT
ejpam-2022	141	19	<	<	X
ejpam-2022	142	1	τm	τm	X
ejpam-2022	142	2	q	q	X
ejpam-2022	142	3	(	(	PUNCT
ejpam-2022	142	4	−εp0	−εp0	NOUN
ejpam-2022	142	5	)	)	PUNCT
ejpam-2022	142	6	g(x0	g(x0	NOUN
ejpam-2022	142	7	)	)	PUNCT
ejpam-2022	143	1	+	+	CCONJ
ejpam-2022	143	2	q	q	ADJ
ejpam-2022	143	3	[	[	X
ejpam-2022	143	4	(	(	PUNCT
ejpam-2022	143	5	−εp0	−εp0	NOUN
ejpam-2022	143	6	)	)	PUNCT
ejpam-2022	143	7	g(x0)τ2	g(x0)τ2	NOUN
ejpam-2022	143	8	m	m	NOUN
ejpam-2022	143	9	+	+	NOUN
ejpam-2022	143	10	4τm	4τm	ADJ
ejpam-2022	143	11	]	]	X
ejpam-2022	143	12	.	.	PUNCT
ejpam-2022	144	1	(	(	PUNCT
ejpam-2022	144	2	13	13	NUM
ejpam-2022	144	3	)	)	PUNCT
ejpam-2022	144	4	if	if	SCONJ
ejpam-2022	144	5	p	p	PROPN
ejpam-2022	144	6	2(−εp0	2(−εp0	NUM
ejpam-2022	144	7	)	)	PUNCT
ejpam-2022	145	1	+	+	CCONJ
ejpam-2022	145	2	εp1	εp1	NOUN
ejpam-2022	145	3	−	−	PROPN
ejpam-2022	145	4	2εg	2εg	NOUN
ejpam-2022	145	5	−	−	ADP
ejpam-2022	145	6	2=	2=	NUM
ejpam-2022	145	7	0	0	NUM
ejpam-2022	145	8	,	,	PUNCT
ejpam-2022	145	9	and	and	CCONJ
ejpam-2022	145	10	σ∗	σ∗	X
ejpam-2022	145	11	=	=	PUNCT
ejpam-2022	145	12	π	π	SYM
ejpam-2022	145	13	2	2	NUM
ejpam-2022	145	14	,	,	PUNCT
ejpam-2022	145	15	then	then	ADV
ejpam-2022	145	16	there	there	PRON
ejpam-2022	145	17	are	be	VERB
ejpam-2022	145	18	r∗	r∗	ADJ
ejpam-2022	145	19	and	and	CCONJ
ejpam-2022	145	20	y∗	y∗	ADV
ejpam-2022	145	21	satisfying	satisfy	VERB
ejpam-2022	145	22	0≤	0≤	PUNCT
ejpam-2022	146	1	(	(	PUNCT
ejpam-2022	146	2	π	π	PROPN
ejpam-2022	146	3	2	2	NUM
ejpam-2022	146	4	−	−	NOUN
ejpam-2022	146	5	r∗)y∗	r∗)y∗	NOUN
ejpam-2022	146	6	≤	≤	NUM
ejpam-2022	146	7	π	π	PROPN
ejpam-2022	146	8	2	2	NUM
ejpam-2022	146	9	so	so	SCONJ
ejpam-2022	146	10	that	that	SCONJ
ejpam-2022	146	11	(	(	PUNCT
ejpam-2022	146	12	σ∗	σ∗	X
ejpam-2022	146	13	,	,	PUNCT
ejpam-2022	146	14	r∗	r∗	PROPN
ejpam-2022	146	15	,	,	PUNCT
ejpam-2022	146	16	y∗	y∗	PROPN
ejpam-2022	146	17	)	)	PUNCT
ejpam-2022	146	18	is	be	AUX
ejpam-2022	146	19	a	a	DET
ejpam-2022	146	20	solution	solution	NOUN
ejpam-2022	146	21	of	of	ADP
ejpam-2022	146	22	the	the	DET
ejpam-2022	146	23	system	system	NOUN
ejpam-2022	146	24	(	(	PUNCT
ejpam-2022	146	25	6	6	NUM
ejpam-2022	146	26	)	)	PUNCT
ejpam-2022	146	27	.	.	PUNCT
ejpam-2022	147	1	moreover	moreover	ADV
ejpam-2022	147	2	,	,	PUNCT
ejpam-2022	147	3	if	if	SCONJ
ejpam-2022	147	4	sin(σ∗	sin(σ∗	ADV
ejpam-2022	147	5	y∗	y∗	ADV
ejpam-2022	147	6	)	)	PUNCT
ejpam-2022	147	7	>	>	X
ejpam-2022	148	1	[	[	X
ejpam-2022	148	2	4	4	NUM
ejpam-2022	148	3	(	(	PUNCT
ejpam-2022	148	4	y∗	y∗	PROPN
ejpam-2022	148	5	d	d	NOUN
ejpam-2022	148	6	)	)	PUNCT
ejpam-2022	148	7	2	2	NUM
ejpam-2022	148	8	+	+	CCONJ
ejpam-2022	148	9	1]−1	1]−1	NUM
ejpam-2022	148	10	,	,	PUNCT
ejpam-2022	148	11	ℜ	ℜ	ADJ
ejpam-2022	148	12	�	�	PROPN
ejpam-2022	148	13	λ̇(σ∗	λ̇(σ∗	PROPN
ejpam-2022	148	14	,	,	PUNCT
ejpam-2022	148	15	r∗	r∗	PROPN
ejpam-2022	148	16	,	,	PUNCT
ejpam-2022	148	17	y∗)|x=0	y∗)|x=0	PROPN
ejpam-2022	148	18	�	�	PROPN
ejpam-2022	148	19	6=	6=	ADP
ejpam-2022	148	20	0	0	NUM
ejpam-2022	148	21	and	and	CCONJ
ejpam-2022	148	22	(	(	PUNCT
ejpam-2022	148	23	σ∗	σ∗	X
ejpam-2022	148	24	,	,	PUNCT
ejpam-2022	148	25	r∗	r∗	PROPN
ejpam-2022	148	26	,	,	PUNCT
ejpam-2022	148	27	y∗	y∗	PROPN
ejpam-2022	148	28	)	)	PUNCT
ejpam-2022	148	29	is	be	AUX
ejpam-2022	148	30	a	a	DET
ejpam-2022	148	31	hopf	hopf	ADJ
ejpam-2022	148	32	bifurcation	bifurcation	NOUN
ejpam-2022	148	33	point	point	NOUN
ejpam-2022	148	34	and	and	CCONJ
ejpam-2022	148	35	close	close	ADJ
ejpam-2022	148	36	to	to	ADP
ejpam-2022	148	37	p0	p0	NOUN
ejpam-2022	148	38	,	,	PUNCT
ejpam-2022	148	39	the	the	DET
ejpam-2022	148	40	system	system	NOUN
ejpam-2022	148	41	(	(	PUNCT
ejpam-2022	148	42	1	1	X
ejpam-2022	148	43	)	)	PUNCT
ejpam-2022	148	44	oscilates	oscilate	VERB
ejpam-2022	148	45	(	(	PUNCT
ejpam-2022	148	46	see	see	INTJ
ejpam-2022	148	47	(	(	PUNCT
ejpam-2022	148	48	8)	8)	NUM
ejpam-2022	148	49	)	)	PUNCT
ejpam-2022	148	50	.	.	PUNCT
ejpam-2022	149	1	proof	proof	NOUN
ejpam-2022	149	2	.	.	PUNCT
ejpam-2022	150	1	with	with	ADP
ejpam-2022	150	2	a	a	DET
ejpam-2022	150	3	simple	simple	ADJ
ejpam-2022	150	4	computation	computation	NOUN
ejpam-2022	150	5	we	we	PRON
ejpam-2022	150	6	verify	verify	VERB
ejpam-2022	150	7	that	that	PRON
ejpam-2022	150	8	2ab[%(y	2ab[%(y	NUM
ejpam-2022	150	9	)	)	PUNCT
ejpam-2022	150	10	+	+	NOUN
ejpam-2022	150	11	y%′(y	y%′(y	NUM
ejpam-2022	150	12	)	)	PUNCT
ejpam-2022	150	13	]	]	PUNCT
ejpam-2022	151	1	=	=	SYM
ejpam-2022	151	2	4y2	4y2	NUM
ejpam-2022	151	3	+	+	CCONJ
ejpam-2022	151	4	2[d2	2[d2	NUM
ejpam-2022	151	5	−	−	NOUN
ejpam-2022	151	6	(	(	PUNCT
ejpam-2022	151	7	b2	b2	NOUN
ejpam-2022	151	8	−	−	PROPN
ejpam-2022	151	9	2c)]y	2c)]y	NOUN
ejpam-2022	151	10	(	(	PUNCT
ejpam-2022	151	11	see	see	VERB
ejpam-2022	151	12	(	(	PUNCT
ejpam-2022	151	13	6	6	NUM
ejpam-2022	151	14	)	)	PUNCT
ejpam-2022	151	15	)	)	PUNCT
ejpam-2022	151	16	.	.	PUNCT
ejpam-2022	152	1	it	it	PRON
ejpam-2022	152	2	follows	follow	VERB
ejpam-2022	152	3	from	from	ADP
ejpam-2022	152	4	p	p	PROPN
ejpam-2022	152	5	2(−εp0	2(−εp0	NUM
ejpam-2022	152	6	)	)	PUNCT
ejpam-2022	153	1	+	+	CCONJ
ejpam-2022	153	2	εp1	εp1	NOUN
ejpam-2022	153	3	−	−	PROPN
ejpam-2022	153	4	2εg	2εg	NOUN
ejpam-2022	153	5	−	−	PROPN
ejpam-2022	153	6	2	2	NUM
ejpam-2022	153	7	=	=	SYM
ejpam-2022	153	8	0	0	NUM
ejpam-2022	154	1	that	that	PRON
ejpam-2022	154	2	d	d	NOUN
ejpam-2022	154	3	=	=	PUNCT
ejpam-2022	154	4	−	−	PROPN
ejpam-2022	154	5	p	p	X
ejpam-2022	154	6	2b	2b	NOUN
ejpam-2022	154	7	(	(	PUNCT
ejpam-2022	154	8	see	see	VERB
ejpam-2022	154	9	the	the	DET
ejpam-2022	154	10	first	first	ADJ
ejpam-2022	154	11	item	item	NOUN
ejpam-2022	154	12	of	of	ADP
ejpam-2022	154	13	the	the	DET
ejpam-2022	154	14	proposition	proposition	NOUN
ejpam-2022	154	15	1	1	NUM
ejpam-2022	154	16	)	)	PUNCT
ejpam-2022	154	17	.	.	PUNCT
ejpam-2022	155	1	let	let	AUX
ejpam-2022	155	2	be	be	AUX
ejpam-2022	155	3	m%	m%	ADJ
ejpam-2022	155	4	=	=	SYM
ejpam-2022	155	5	ε2	ε2	ADJ
ejpam-2022	155	6	p0	p0	NOUN
ejpam-2022	155	7	g(x0)−2τmεp1	g(x0)−2τmεp1	NOUN
ejpam-2022	155	8	τ1ε2	τ1ε2	PUNCT
ejpam-2022	155	9	p0	p0	NOUN
ejpam-2022	155	10	g(x0	g(x0	NOUN
ejpam-2022	155	11	)	)	PUNCT
ejpam-2022	155	12	and	and	CCONJ
ejpam-2022	155	13	n%	n%	NOUN
ejpam-2022	156	1	=	=	PUNCT
ejpam-2022	156	2	2τm	2τm	NOUN
ejpam-2022	156	3	4	4	NUM
ejpam-2022	156	4	q	q	NOUN
ejpam-2022	156	5	3ε5	3ε5	NUM
ejpam-2022	156	6	p1	p1	NOUN
ejpam-2022	156	7	(	(	PUNCT
ejpam-2022	156	8	ε2	ε2	PROPN
ejpam-2022	156	9	p1	p1	PROPN
ejpam-2022	156	10	−ε2	−ε2	PROPN
ejpam-2022	156	11	p0	p0	PROPN
ejpam-2022	156	12	)	)	PUNCT
ejpam-2022	156	13	3	3	NUM
ejpam-2022	156	14	3ε2	3ε2	NUM
ejpam-2022	156	15	p0	p0	NOUN
ejpam-2022	156	16	and	and	CCONJ
ejpam-2022	156	17	2(y∗)3	2(y∗)3	NUM
ejpam-2022	156	18	=	=	PUNCT
ejpam-2022	156	19	n%τm(ε0	n%τm(ε0	ADJ
ejpam-2022	156	20	g(x0))2	g(x0))2	PROPN
ejpam-2022	156	21	4	4	NUM
ejpam-2022	156	22	.	.	PUNCT
ejpam-2022	157	1	it	it	PRON
ejpam-2022	157	2	follows	follow	VERB
ejpam-2022	157	3	from	from	ADP
ejpam-2022	157	4	(	(	PUNCT
ejpam-2022	157	5	13	13	NUM
ejpam-2022	157	6	)	)	PUNCT
ejpam-2022	157	7	that	that	PRON
ejpam-2022	157	8	0	0	NUM
ejpam-2022	157	9	≤	≤	NUM
ejpam-2022	157	10	m%	m%	VERB
ejpam-2022	157	11	≤	≤	NUM
ejpam-2022	157	12	1	1	NUM
ejpam-2022	157	13	and	and	CCONJ
ejpam-2022	157	14	0	0	NUM
ejpam-2022	157	15	≤	≤	NUM
ejpam-2022	157	16	n%	n%	VERB
ejpam-2022	157	17	≤	≤	NUM
ejpam-2022	157	18	1	1	NUM
ejpam-2022	157	19	.	.	PUNCT
ejpam-2022	158	1	we	we	PRON
ejpam-2022	158	2	can	can	AUX
ejpam-2022	158	3	choose	choose	VERB
ejpam-2022	158	4	0	0	NUM
ejpam-2022	158	5	≤	≤	NUM
ejpam-2022	158	6	r∗	r∗	PROPN
ejpam-2022	158	7	≤	≤	ADJ
ejpam-2022	158	8	σ∗	σ∗	NOUN
ejpam-2022	158	9	satisfying	satisfy	VERB
ejpam-2022	158	10	0	0	NUM
ejpam-2022	158	11	≤	≤	NOUN
ejpam-2022	158	12	(	(	PUNCT
ejpam-2022	158	13	σ∗	σ∗	NOUN
ejpam-2022	158	14	−	−	PROPN
ejpam-2022	158	15	r∗)y∗	r∗)y∗	NOUN
ejpam-2022	158	16	≤	≤	NUM
ejpam-2022	158	17	σ∗	σ∗	NOUN
ejpam-2022	158	18	so	so	SCONJ
ejpam-2022	158	19	that	that	SCONJ
ejpam-2022	158	20	the	the	DET
ejpam-2022	158	21	straight	straight	ADJ
ejpam-2022	158	22	line	line	NOUN
ejpam-2022	158	23	z	z	NOUN
ejpam-2022	158	24	=	=	PRON
ejpam-2022	158	25	m%	m%	PROPN
ejpam-2022	158	26	y	y	PROPN
ejpam-2022	158	27	+	+	CCONJ
ejpam-2022	158	28	n%	n%	ADJ
ejpam-2022	158	29	is	be	AUX
ejpam-2022	158	30	tangent	tangent	NOUN
ejpam-2022	158	31	to	to	ADP
ejpam-2022	158	32	the	the	DET
ejpam-2022	158	33	graphic	graphic	NOUN
ejpam-2022	158	34	of	of	ADP
ejpam-2022	158	35	the	the	DET
ejpam-2022	158	36	function	function	NOUN
ejpam-2022	158	37	%	%	NOUN
ejpam-2022	158	38	in	in	ADP
ejpam-2022	158	39	(	(	PUNCT
ejpam-2022	158	40	6	6	NUM
ejpam-2022	158	41	)	)	PUNCT
ejpam-2022	158	42	at	at	ADP
ejpam-2022	158	43	the	the	DET
ejpam-2022	158	44	point	point	NOUN
ejpam-2022	158	45	(	(	PUNCT
ejpam-2022	158	46	y∗,%(y∗	y∗,%(y∗	NOUN
ejpam-2022	158	47	)	)	PUNCT
ejpam-2022	158	48	)	)	PUNCT
ejpam-2022	158	49	.	.	PUNCT
ejpam-2022	159	1	since	since	SCONJ
ejpam-2022	159	2	%	%	NOUN
ejpam-2022	159	3	is	be	AUX
ejpam-2022	159	4	a	a	DET
ejpam-2022	159	5	convex	convex	ADJ
ejpam-2022	159	6	function	function	NOUN
ejpam-2022	159	7	on	on	ADP
ejpam-2022	159	8	interval	interval	NOUN
ejpam-2022	159	9	(	(	PUNCT
ejpam-2022	159	10	0,∞	0,∞	NUM
ejpam-2022	159	11	)	)	PUNCT
ejpam-2022	159	12	,	,	PUNCT
ejpam-2022	159	13	then	then	ADV
ejpam-2022	159	14	%	%	INTJ
ejpam-2022	159	15	(	(	PUNCT
ejpam-2022	159	16	y	y	NOUN
ejpam-2022	159	17	)	)	PUNCT
ejpam-2022	159	18	≥	≥	NOUN
ejpam-2022	159	19	m%	m%	PROPN
ejpam-2022	159	20	y	y	PROPN
ejpam-2022	159	21	+	+	CCONJ
ejpam-2022	159	22	n%	n%	VERB
ejpam-2022	159	23	for	for	ADP
ejpam-2022	159	24	all	all	DET
ejpam-2022	159	25	y	y	PROPN
ejpam-2022	159	26	≥	≥	NOUN
ejpam-2022	159	27	0	0	NUM
ejpam-2022	159	28	.	.	PUNCT
ejpam-2022	160	1	analogously	analogously	ADV
ejpam-2022	160	2	,	,	PUNCT
ejpam-2022	160	3	we	we	PRON
ejpam-2022	160	4	choose	choose	VERB
ejpam-2022	160	5	0	0	NUM
ejpam-2022	160	6	≤	≤	NUM
ejpam-2022	160	7	r̄	r̄	NOUN
ejpam-2022	160	8	≤	≤	NOUN
ejpam-2022	160	9	σ∗	σ∗	NOUN
ejpam-2022	160	10	and	and	CCONJ
ejpam-2022	160	11	ȳ	ȳ	NOUN
ejpam-2022	160	12	satisfying	satisfy	VERB
ejpam-2022	160	13	0≤	0≤	PUNCT
ejpam-2022	161	1	(	(	PUNCT
ejpam-2022	161	2	σ∗−	σ∗−	PROPN
ejpam-2022	161	3	r̄	r̄	NOUN
ejpam-2022	161	4	)	)	PUNCT
ejpam-2022	161	5	ȳ	ȳ	PROPN
ejpam-2022	161	6	≤	≤	NOUN
ejpam-2022	161	7	σ∗	σ∗	NOUN
ejpam-2022	161	8	so	so	SCONJ
ejpam-2022	161	9	that	that	SCONJ
ejpam-2022	161	10	the	the	DET
ejpam-2022	161	11	straight	straight	ADJ
ejpam-2022	161	12	line	line	NOUN
ejpam-2022	161	13	z	z	NOUN
ejpam-2022	161	14	=	=	PUNCT
ejpam-2022	161	15	msin	msin	PROPN
ejpam-2022	161	16	y	y	PROPN
ejpam-2022	161	17	+	+	NUM
ejpam-2022	161	18	nsin	nsin	NOUN
ejpam-2022	161	19	is	be	AUX
ejpam-2022	161	20	tangent	tangent	ADJ
ejpam-2022	161	21	to	to	ADP
ejpam-2022	161	22	the	the	DET
ejpam-2022	161	23	graphic	graphic	NOUN
ejpam-2022	161	24	of	of	ADP
ejpam-2022	161	25	the	the	DET
ejpam-2022	161	26	function	function	NOUN
ejpam-2022	161	27	sine	sine	NOUN
ejpam-2022	161	28	defined	define	VERB
ejpam-2022	161	29	in	in	ADP
ejpam-2022	161	30	(	(	PUNCT
ejpam-2022	161	31	6	6	NUM
ejpam-2022	161	32	)	)	PUNCT
ejpam-2022	161	33	at	at	ADP
ejpam-2022	161	34	the	the	DET
ejpam-2022	161	35	point	point	NOUN
ejpam-2022	161	36	(	(	PUNCT
ejpam-2022	161	37	ȳ	ȳ	INTJ
ejpam-2022	161	38	,	,	PUNCT
ejpam-2022	161	39	sin(σ∗	sin(σ∗	NUM
ejpam-2022	161	40	−	−	PROPN
ejpam-2022	161	41	r̄	r̄	NOUN
ejpam-2022	161	42	)	)	PUNCT
ejpam-2022	161	43	ȳ	ȳ	PROPN
ejpam-2022	161	44	)	)	PUNCT
ejpam-2022	161	45	.	.	PUNCT
ejpam-2022	162	1	it	it	PRON
ejpam-2022	162	2	is	be	AUX
ejpam-2022	162	3	easy	easy	ADJ
ejpam-2022	162	4	see	see	VERB
ejpam-2022	162	5	that	that	DET
ejpam-2022	162	6	msin	msin	NOUN
ejpam-2022	162	7	=	=	SYM
ejpam-2022	162	8	msin(r̄	msin(r̄	PROPN
ejpam-2022	162	9	,	,	PUNCT
ejpam-2022	162	10	ȳ	ȳ	PROPN
ejpam-2022	162	11	)	)	PUNCT
ejpam-2022	162	12	=	=	SYM
ejpam-2022	163	1	(	(	PUNCT
ejpam-2022	163	2	σ∗	σ∗	PROPN
ejpam-2022	163	3	−	−	PROPN
ejpam-2022	163	4	r̄	r̄	NOUN
ejpam-2022	163	5	)	)	PUNCT
ejpam-2022	163	6	cos(σ∗	cos(σ∗	PART
ejpam-2022	163	7	−	−	NOUN
ejpam-2022	163	8	r̄	r̄	NOUN
ejpam-2022	163	9	)	)	PUNCT
ejpam-2022	163	10	ȳ	ȳ	PROPN
ejpam-2022	163	11	and	and	CCONJ
ejpam-2022	163	12	nsin	nsin	NOUN
ejpam-2022	163	13	=	=	SYM
ejpam-2022	163	14	nsin(r̄	nsin(r̄	PROPN
ejpam-2022	163	15	,	,	PUNCT
ejpam-2022	163	16	ȳ	ȳ	PROPN
ejpam-2022	163	17	)	)	PUNCT
ejpam-2022	163	18	=	=	SYM
ejpam-2022	163	19	sin(σ∗	sin(σ∗	NUM
ejpam-2022	163	20	−	−	NOUN
ejpam-2022	163	21	r̄	r̄	NOUN
ejpam-2022	163	22	)	)	PUNCT
ejpam-2022	163	23	ȳ	ȳ	NOUN
ejpam-2022	163	24	−	−	PROPN
ejpam-2022	163	25	(	(	PUNCT
ejpam-2022	163	26	σ∗	σ∗	NOUN
ejpam-2022	163	27	−	−	PROPN
ejpam-2022	163	28	r̄	r̄	NOUN
ejpam-2022	163	29	)	)	PUNCT
ejpam-2022	163	30	ȳ	ȳ	PROPN
ejpam-2022	163	31	cos(σ∗	cos(σ∗	SYM
ejpam-2022	163	32	−	−	NOUN
ejpam-2022	163	33	r̄	r̄	NOUN
ejpam-2022	163	34	)	)	PUNCT
ejpam-2022	163	35	ȳ	ȳ	NOUN
ejpam-2022	163	36	.	.	PUNCT
ejpam-2022	164	1	since	since	SCONJ
ejpam-2022	164	2	r∗	r∗	PROPN
ejpam-2022	164	3	and	and	CCONJ
ejpam-2022	164	4	y∗	y∗	PROPN
ejpam-2022	164	5	were	be	AUX
ejpam-2022	164	6	chosen	choose	VERB
ejpam-2022	164	7	so	so	SCONJ
ejpam-2022	164	8	that	that	SCONJ
ejpam-2022	164	9	%	%	NOUN
ejpam-2022	164	10	′(y∗	′(y∗	X
ejpam-2022	164	11	)	)	PUNCT
ejpam-2022	165	1	=	=	PUNCT
ejpam-2022	166	1	m%	m%	PROPN
ejpam-2022	166	2	and	and	CCONJ
ejpam-2022	166	3	%	%	INTJ
ejpam-2022	166	4	(	(	PUNCT
ejpam-2022	166	5	y∗	y∗	PROPN
ejpam-2022	166	6	)	)	PUNCT
ejpam-2022	166	7	=	=	SYM
ejpam-2022	166	8	n%	n%	NOUN
ejpam-2022	166	9	,	,	PUNCT
ejpam-2022	166	10	it	it	PRON
ejpam-2022	166	11	follows	follow	VERB
ejpam-2022	166	12	from	from	ADP
ejpam-2022	166	13	(	(	PUNCT
ejpam-2022	166	14	5	5	NUM
ejpam-2022	166	15	)	)	PUNCT
ejpam-2022	166	16	and	and	CCONJ
ejpam-2022	166	17	implicit	implicit	ADJ
ejpam-2022	166	18	function	function	NOUN
ejpam-2022	166	19	theorem	theorem	VERB
ejpam-2022	166	20	that	that	SCONJ
ejpam-2022	166	21	the	the	DET
ejpam-2022	166	22	unique	unique	ADJ
ejpam-2022	166	23	solution	solution	NOUN
ejpam-2022	166	24	of	of	ADP
ejpam-2022	166	25	the	the	DET
ejpam-2022	166	26	system	system	NOUN
ejpam-2022	166	27	�	�	PROPN
ejpam-2022	166	28	msin(r̄	msin(r̄	PROPN
ejpam-2022	166	29	,	,	PUNCT
ejpam-2022	166	30	ȳ	ȳ	PROPN
ejpam-2022	166	31	)	)	PUNCT
ejpam-2022	166	32	=	=	PRON
ejpam-2022	167	1	m%	m%	PROPN
ejpam-2022	167	2	nsin(r̄	nsin(r̄	PROPN
ejpam-2022	167	3	,	,	PUNCT
ejpam-2022	167	4	ȳ	ȳ	PROPN
ejpam-2022	167	5	)	)	PUNCT
ejpam-2022	167	6	=	=	PRON
ejpam-2022	167	7	n%	n%	X
ejpam-2022	167	8	(	(	PUNCT
ejpam-2022	167	9	14	14	NUM
ejpam-2022	167	10	)	)	PUNCT
ejpam-2022	167	11	will	will	AUX
ejpam-2022	167	12	be	be	AUX
ejpam-2022	167	13	(	(	PUNCT
ejpam-2022	167	14	r∗	r∗	PROPN
ejpam-2022	167	15	,	,	PUNCT
ejpam-2022	167	16	y∗	y∗	PROPN
ejpam-2022	167	17	)	)	PUNCT
ejpam-2022	167	18	.	.	PUNCT
ejpam-2022	168	1	references	reference	NOUN
ejpam-2022	168	2	162	162	NUM
ejpam-2022	168	3	by	by	ADP
ejpam-2022	168	4	using	use	VERB
ejpam-2022	168	5	implicit	implicit	ADJ
ejpam-2022	168	6	derivative	derivative	NOUN
ejpam-2022	168	7	in	in	ADP
ejpam-2022	168	8	(	(	PUNCT
ejpam-2022	168	9	3	3	X
ejpam-2022	168	10	)	)	PUNCT
ejpam-2022	168	11	we	we	PRON
ejpam-2022	168	12	can	can	AUX
ejpam-2022	168	13	show	show	VERB
ejpam-2022	168	14	that	that	SCONJ
ejpam-2022	168	15	ℜ	ℜ	PROPN
ejpam-2022	168	16	�	�	PROPN
ejpam-2022	168	17	λ̇(σ	λ̇(σ	PROPN
ejpam-2022	168	18	,	,	PUNCT
ejpam-2022	168	19	r	r	NOUN
ejpam-2022	168	20	,	,	PUNCT
ejpam-2022	168	21	y)|x=0	y)|x=0	NOUN
ejpam-2022	168	22	�	�	PROPN
ejpam-2022	168	23	=	=	SYM
ejpam-2022	168	24	b	b	PROPN
ejpam-2022	168	25	y2[2y	y2[2y	PROPN
ejpam-2022	168	26	sinσy	sinσy	PROPN
ejpam-2022	168	27	−	−	PROPN
ejpam-2022	168	28	d	d	SYM
ejpam-2022	168	29	cosσy	cosσy	NOUN
ejpam-2022	168	30	]	]	X
ejpam-2022	169	1	+	+	CCONJ
ejpam-2022	169	2	r	r	NOUN
ejpam-2022	169	3	ba	ba	NOUN
ejpam-2022	169	4	cos(σ−	cos(σ−	NOUN
ejpam-2022	169	5	r)y	r)y	X
ejpam-2022	169	6	.	.	PUNCT
ejpam-2022	170	1	(	(	PUNCT
ejpam-2022	170	2	15	15	NUM
ejpam-2022	170	3	)	)	PUNCT
ejpam-2022	170	4	because	because	SCONJ
ejpam-2022	170	5	sin(σ∗	sin(σ∗	ADV
ejpam-2022	170	6	y∗	y∗	ADV
ejpam-2022	170	7	)	)	PUNCT
ejpam-2022	170	8	>	>	X
ejpam-2022	171	1	[	[	X
ejpam-2022	171	2	4	4	NUM
ejpam-2022	171	3	(	(	PUNCT
ejpam-2022	171	4	y∗	y∗	PROPN
ejpam-2022	171	5	d	d	NOUN
ejpam-2022	171	6	)	)	PUNCT
ejpam-2022	171	7	2	2	NUM
ejpam-2022	171	8	+	+	CCONJ
ejpam-2022	171	9	1]−1	1]−1	NUM
ejpam-2022	171	10	,	,	PUNCT
ejpam-2022	171	11	we	we	PRON
ejpam-2022	171	12	have	have	VERB
ejpam-2022	171	13	ℜ	ℜ	PROPN
ejpam-2022	171	14	�	�	PROPN
ejpam-2022	171	15	λ̇(σ∗	λ̇(σ∗	PROPN
ejpam-2022	171	16	,	,	PUNCT
ejpam-2022	171	17	r∗	r∗	PROPN
ejpam-2022	171	18	,	,	PUNCT
ejpam-2022	171	19	y∗)|x=0	y∗)|x=0	PROPN
ejpam-2022	171	20	�	�	PROPN
ejpam-2022	171	21	>	>	X
ejpam-2022	171	22	0	0	PUNCT
ejpam-2022	172	1	(	(	PUNCT
ejpam-2022	172	2	d	d	NOUN
ejpam-2022	172	3	is	be	AUX
ejpam-2022	172	4	defined	define	VERB
ejpam-2022	172	5	in	in	ADP
ejpam-2022	172	6	(	(	PUNCT
ejpam-2022	172	7	8)	8)	NUM
ejpam-2022	172	8	)	)	PUNCT
ejpam-2022	172	9	.	.	PUNCT
ejpam-2022	173	1	remark	remark	NOUN
ejpam-2022	173	2	3	3	NUM
ejpam-2022	173	3	.	.	PUNCT
ejpam-2022	174	1	if	if	SCONJ
ejpam-2022	174	2	the	the	DET
ejpam-2022	174	3	elasticities	elasticity	NOUN
ejpam-2022	174	4	of	of	ADP
ejpam-2022	174	5	the	the	DET
ejpam-2022	174	6	functions	function	NOUN
ejpam-2022	174	7	involved	involve	VERB
ejpam-2022	174	8	in	in	ADP
ejpam-2022	174	9	model	model	NOUN
ejpam-2022	174	10	(	(	PUNCT
ejpam-2022	174	11	1	1	X
ejpam-2022	174	12	)	)	PUNCT
ejpam-2022	174	13	satisfy	satisfy	VERB
ejpam-2022	174	14	the	the	DET
ejpam-2022	174	15	conditions	condition	NOUN
ejpam-2022	174	16	of	of	ADP
ejpam-2022	174	17	theorem	theorem	NOUN
ejpam-2022	174	18	2	2	NUM
ejpam-2022	174	19	we	we	PRON
ejpam-2022	174	20	are	be	AUX
ejpam-2022	174	21	able	able	ADJ
ejpam-2022	174	22	to	to	PART
ejpam-2022	174	23	localize	localize	VERB
ejpam-2022	174	24	a	a	DET
ejpam-2022	174	25	non	non	ADJ
ejpam-2022	174	26	-	-	ADJ
ejpam-2022	174	27	null	null	ADJ
ejpam-2022	174	28	purely	purely	ADV
ejpam-2022	174	29	imaginary	imaginary	ADJ
ejpam-2022	174	30	root	root	NOUN
ejpam-2022	174	31	of	of	ADP
ejpam-2022	174	32	equation	equation	NOUN
ejpam-2022	174	33	(	(	PUNCT
ejpam-2022	174	34	9	9	NUM
ejpam-2022	174	35	)	)	PUNCT
ejpam-2022	174	36	and	and	CCONJ
ejpam-2022	174	37	to	to	PART
ejpam-2022	174	38	show	show	VERB
ejpam-2022	174	39	that	that	SCONJ
ejpam-2022	174	40	as	as	ADP
ejpam-2022	174	41	the	the	DET
ejpam-2022	174	42	delay	delay	NOUN
ejpam-2022	174	43	σ	σ	PROPN
ejpam-2022	174	44	crosses	crosse	NOUN
ejpam-2022	174	45	the	the	DET
ejpam-2022	174	46	crtical	crtical	ADJ
ejpam-2022	174	47	value	value	NOUN
ejpam-2022	174	48	σ∗	σ∗	NOUN
ejpam-2022	174	49	there	there	PRON
ejpam-2022	174	50	are	be	VERB
ejpam-2022	174	51	two	two	NUM
ejpam-2022	174	52	simple	simple	ADJ
ejpam-2022	174	53	roots	root	NOUN
ejpam-2022	174	54	of	of	ADP
ejpam-2022	174	55	equation	equation	NOUN
ejpam-2022	174	56	(	(	PUNCT
ejpam-2022	174	57	9	9	X
ejpam-2022	174	58	)	)	PUNCT
ejpam-2022	174	59	crossing	cross	VERB
ejpam-2022	174	60	transversely	transversely	ADV
ejpam-2022	174	61	the	the	DET
ejpam-2022	174	62	imaginary	imaginary	ADJ
ejpam-2022	174	63	axis	axis	NOUN
ejpam-2022	174	64	from	from	ADP
ejpam-2022	174	65	left	left	ADJ
ejpam-2022	174	66	to	to	ADP
ejpam-2022	174	67	right	right	NOUN
ejpam-2022	174	68	,	,	PUNCT
ejpam-2022	174	69	while	while	SCONJ
ejpam-2022	174	70	all	all	DET
ejpam-2022	174	71	others	other	NOUN
ejpam-2022	174	72	have	have	VERB
ejpam-2022	174	73	negative	negative	ADJ
ejpam-2022	174	74	real	real	ADJ
ejpam-2022	174	75	part	part	NOUN
ejpam-2022	174	76	.	.	PUNCT
ejpam-2022	175	1	we	we	PRON
ejpam-2022	175	2	can	can	AUX
ejpam-2022	175	3	also	also	ADV
ejpam-2022	175	4	verify	verify	VERB
ejpam-2022	175	5	that	that	SCONJ
ejpam-2022	175	6	(	(	PUNCT
ejpam-2022	175	7	σ∗	σ∗	X
ejpam-2022	175	8	,	,	PUNCT
ejpam-2022	175	9	r∗	r∗	PROPN
ejpam-2022	175	10	)	)	PUNCT
ejpam-2022	175	11	determines	determine	VERB
ejpam-2022	175	12	a	a	DET
ejpam-2022	175	13	sequence	sequence	NOUN
ejpam-2022	175	14	{	{	PUNCT
ejpam-2022	175	15	(	(	PUNCT
ejpam-2022	175	16	σ∗p	σ∗p	ADJ
ejpam-2022	175	17	,	,	PUNCT
ejpam-2022	175	18	r∗q	r∗q	NUM
ejpam-2022	175	19	)	)	PUNCT
ejpam-2022	175	20	}	}	PUNCT
ejpam-2022	175	21	(	(	PUNCT
ejpam-2022	175	22	p	p	X
ejpam-2022	175	23	,	,	PUNCT
ejpam-2022	175	24	q)∈n2	q)∈n2	VERB
ejpam-2022	175	25	of	of	ADP
ejpam-2022	175	26	critical	critical	ADJ
ejpam-2022	175	27	values	value	NOUN
ejpam-2022	175	28	that	that	PRON
ejpam-2022	175	29	lie	lie	VERB
ejpam-2022	175	30	in	in	ADP
ejpam-2022	175	31	a	a	DET
ejpam-2022	175	32	smooth	smooth	ADJ
ejpam-2022	175	33	manifold	manifold	NOUN
ejpam-2022	175	34	k	k	PROPN
ejpam-2022	175	35	defined	define	VERB
ejpam-2022	175	36	by	by	ADP
ejpam-2022	175	37	system	system	NOUN
ejpam-2022	175	38	(	(	PUNCT
ejpam-2022	175	39	14	14	NUM
ejpam-2022	175	40	)	)	PUNCT
ejpam-2022	175	41	.	.	PUNCT
ejpam-2022	176	1	using	use	VERB
ejpam-2022	176	2	hopf	hopf	ADJ
ejpam-2022	176	3	-	-	PUNCT
ejpam-2022	176	4	bifurcation	bifurcation	NOUN
ejpam-2022	176	5	theory	theory	NOUN
ejpam-2022	176	6	we	we	PRON
ejpam-2022	176	7	show	show	VERB
ejpam-2022	176	8	that	that	SCONJ
ejpam-2022	176	9	the	the	DET
ejpam-2022	176	10	manifold	manifold	ADJ
ejpam-2022	176	11	k	k	PROPN
ejpam-2022	176	12	can	can	AUX
ejpam-2022	176	13	be	be	AUX
ejpam-2022	176	14	chosen	choose	VERB
ejpam-2022	176	15	in	in	ADP
ejpam-2022	176	16	such	such	ADJ
ejpam-2022	176	17	way	way	NOUN
ejpam-2022	176	18	that	that	PRON
ejpam-2022	176	19	each	each	DET
ejpam-2022	176	20	one	one	NUM
ejpam-2022	176	21	of	of	ADP
ejpam-2022	176	22	this	this	DET
ejpam-2022	176	23	critical	critical	ADJ
ejpam-2022	176	24	values	value	NOUN
ejpam-2022	176	25	,	,	PUNCT
ejpam-2022	176	26	near	near	ADP
ejpam-2022	176	27	the	the	DET
ejpam-2022	176	28	equilibrium	equilibrium	NOUN
ejpam-2022	176	29	point	point	NOUN
ejpam-2022	176	30	p0	p0	NOUN
ejpam-2022	176	31	,	,	PUNCT
ejpam-2022	176	32	is	be	AUX
ejpam-2022	176	33	associated	associate	VERB
ejpam-2022	176	34	to	to	ADP
ejpam-2022	176	35	a	a	DET
ejpam-2022	176	36	nonconstant	nonconstant	ADJ
ejpam-2022	176	37	periodic	periodic	ADJ
ejpam-2022	176	38	solution	solution	NOUN
ejpam-2022	176	39	of	of	ADP
ejpam-2022	176	40	system	system	NOUN
ejpam-2022	176	41	(	(	PUNCT
ejpam-2022	176	42	1	1	NUM
ejpam-2022	176	43	)	)	PUNCT
ejpam-2022	176	44	.	.	PUNCT
ejpam-2022	177	1	4	4	X
ejpam-2022	177	2	.	.	X
ejpam-2022	177	3	conclusions	conclusion	NOUN
ejpam-2022	177	4	with	with	ADP
ejpam-2022	177	5	endogenous	endogenous	ADJ
ejpam-2022	177	6	framework	framework	NOUN
ejpam-2022	177	7	,	,	PUNCT
ejpam-2022	177	8	the	the	DET
ejpam-2022	177	9	stabilization	stabilization	NOUN
ejpam-2022	177	10	of	of	ADP
ejpam-2022	177	11	competition	competition	NOUN
ejpam-2022	177	12	on	on	ADP
ejpam-2022	177	13	a	a	DET
ejpam-2022	177	14	market	market	NOUN
ejpam-2022	177	15	that	that	PRON
ejpam-2022	177	16	operates	operate	VERB
ejpam-2022	177	17	with	with	ADP
ejpam-2022	177	18	several	several	ADJ
ejpam-2022	177	19	manufacturers	manufacturer	NOUN
ejpam-2022	177	20	using	use	VERB
ejpam-2022	177	21	same	same	ADJ
ejpam-2022	177	22	technologies	technology	NOUN
ejpam-2022	177	23	,	,	PUNCT
ejpam-2022	177	24	is	be	AUX
ejpam-2022	177	25	accurately	accurately	ADV
ejpam-2022	177	26	analyzed	analyze	VERB
ejpam-2022	177	27	.	.	PUNCT
ejpam-2022	178	1	it	it	PRON
ejpam-2022	178	2	is	be	AUX
ejpam-2022	178	3	clear	clear	ADJ
ejpam-2022	178	4	from	from	ADP
ejpam-2022	178	5	theorems	theorem	NOUN
ejpam-2022	178	6	1	1	NUM
ejpam-2022	178	7	and	and	CCONJ
ejpam-2022	178	8	2	2	NUM
ejpam-2022	178	9	that	that	SCONJ
ejpam-2022	178	10	production	production	NOUN
ejpam-2022	178	11	delays	delay	NOUN
ejpam-2022	178	12	in	in	ADP
ejpam-2022	178	13	commodities	commodity	NOUN
ejpam-2022	178	14	markets	market	NOUN
ejpam-2022	178	15	are	be	AUX
ejpam-2022	178	16	potentially	potentially	ADV
ejpam-2022	178	17	destabilizing	destabilizing	ADJ
ejpam-2022	178	18	factors	factor	NOUN
ejpam-2022	178	19	.	.	PUNCT
ejpam-2022	179	1	theorem	theorem	ADJ
ejpam-2022	179	2	1	1	NUM
ejpam-2022	179	3	shows	show	VERB
ejpam-2022	179	4	that	that	SCONJ
ejpam-2022	179	5	planners	planner	NOUN
ejpam-2022	179	6	can	can	AUX
ejpam-2022	179	7	search	search	VERB
ejpam-2022	179	8	for	for	ADP
ejpam-2022	179	9	information	information	NOUN
ejpam-2022	179	10	in	in	ADP
ejpam-2022	179	11	the	the	DET
ejpam-2022	179	12	memory	memory	NOUN
ejpam-2022	179	13	of	of	ADP
ejpam-2022	179	14	an	an	DET
ejpam-2022	179	15	economic	economic	ADJ
ejpam-2022	179	16	system	system	NOUN
ejpam-2022	179	17	without	without	ADP
ejpam-2022	179	18	doing	do	VERB
ejpam-2022	179	19	harm	harm	NOUN
ejpam-2022	179	20	to	to	ADP
ejpam-2022	179	21	parameter	parameter	NOUN
ejpam-2022	179	22	systems	system	NOUN
ejpam-2022	179	23	governing	govern	VERB
ejpam-2022	179	24	technological	technological	ADJ
ejpam-2022	179	25	innovation	innovation	NOUN
ejpam-2022	179	26	process	process	NOUN
ejpam-2022	179	27	.	.	PUNCT
ejpam-2022	180	1	theorem	theorem	ADJ
ejpam-2022	180	2	2	2	NUM
ejpam-2022	180	3	shows	show	VERB
ejpam-2022	180	4	that	that	SCONJ
ejpam-2022	180	5	if	if	SCONJ
ejpam-2022	180	6	parameters	parameter	NOUN
ejpam-2022	180	7	are	be	AUX
ejpam-2022	180	8	close	close	ADJ
ejpam-2022	180	9	to	to	ADP
ejpam-2022	180	10	the	the	DET
ejpam-2022	180	11	boundary	boundary	NOUN
ejpam-2022	180	12	of	of	ADP
ejpam-2022	180	13	the	the	DET
ejpam-2022	180	14	stability	stability	NOUN
ejpam-2022	180	15	region	region	NOUN
ejpam-2022	180	16	the	the	DET
ejpam-2022	180	17	system	system	NOUN
ejpam-2022	180	18	undergoes	undergo	VERB
ejpam-2022	180	19	hopf	hopf	ADJ
ejpam-2022	180	20	bifurcation	bifurcation	NOUN
ejpam-2022	180	21	.	.	PUNCT
ejpam-2022	181	1	with	with	ADP
ejpam-2022	181	2	this	this	DET
ejpam-2022	181	3	phenomenon	phenomenon	NOUN
ejpam-2022	181	4	the	the	DET
ejpam-2022	181	5	technological	technological	ADJ
ejpam-2022	181	6	innovation	innovation	NOUN
ejpam-2022	181	7	process	process	NOUN
ejpam-2022	181	8	becomes	become	VERB
ejpam-2022	181	9	unstable	unstable	ADJ
ejpam-2022	181	10	and	and	CCONJ
ejpam-2022	181	11	fluctuating	fluctuating	NOUN
ejpam-2022	181	12	.	.	PUNCT
ejpam-2022	182	1	this	this	PRON
ejpam-2022	182	2	lead	lead	VERB
ejpam-2022	182	3	us	we	PRON
ejpam-2022	182	4	to	to	PART
ejpam-2022	182	5	believe	believe	VERB
ejpam-2022	182	6	that	that	SCONJ
ejpam-2022	182	7	our	our	PRON
ejpam-2022	182	8	analysis	analysis	NOUN
ejpam-2022	182	9	of	of	ADP
ejpam-2022	182	10	the	the	DET
ejpam-2022	182	11	model	model	NOUN
ejpam-2022	182	12	(	(	PUNCT
ejpam-2022	182	13	1	1	X
ejpam-2022	182	14	)	)	PUNCT
ejpam-2022	182	15	is	be	AUX
ejpam-2022	182	16	able	able	ADJ
ejpam-2022	182	17	to	to	PART
ejpam-2022	182	18	offer	offer	VERB
ejpam-2022	182	19	technology	technology	NOUN
ejpam-2022	182	20	planners	planner	NOUN
ejpam-2022	182	21	a	a	DET
ejpam-2022	182	22	reasonable	reasonable	ADJ
ejpam-2022	182	23	explanation	explanation	NOUN
ejpam-2022	182	24	for	for	ADP
ejpam-2022	182	25	cyclical	cyclical	ADJ
ejpam-2022	182	26	behaviour	behaviour	NOUN
ejpam-2022	182	27	in	in	ADP
ejpam-2022	182	28	competitive	competitive	ADJ
ejpam-2022	182	29	markets	market	NOUN
ejpam-2022	182	30	,	,	PUNCT
ejpam-2022	182	31	and	and	CCONJ
ejpam-2022	182	32	it	it	PRON
ejpam-2022	182	33	suggests	suggest	VERB
ejpam-2022	182	34	how	how	SCONJ
ejpam-2022	182	35	market	market	NOUN
ejpam-2022	182	36	agents	agent	NOUN
ejpam-2022	182	37	must	must	AUX
ejpam-2022	182	38	act	act	VERB
ejpam-2022	182	39	to	to	ADP
ejpam-2022	182	40	avoided	avoided	ADJ
ejpam-2022	182	41	fluctuations	fluctuation	NOUN
ejpam-2022	182	42	.	.	PUNCT
ejpam-2022	183	1	references	reference	NOUN
ejpam-2022	183	2	[	[	X
ejpam-2022	183	3	1	1	NUM
ejpam-2022	183	4	]	]	X
ejpam-2022	183	5	g.	g.	NOUN
ejpam-2022	183	6	barbirol	barbirol	PROPN
ejpam-2022	183	7	and	and	CCONJ
ejpam-2022	183	8	d.	d.	PROPN
ejpam-2022	183	9	ritelli	ritelli	PROPN
ejpam-2022	183	10	.	.	PUNCT
ejpam-2022	184	1	dymamical	dymamical	ADJ
ejpam-2022	184	2	systems	system	NOUN
ejpam-2022	184	3	in	in	ADP
ejpam-2022	184	4	analysing	analyse	VERB
ejpam-2022	184	5	competitiveness	competitiveness	NOUN
ejpam-2022	184	6	and	and	CCONJ
ejpam-2022	184	7	coexistence	coexistence	NOUN
ejpam-2022	184	8	among	among	ADP
ejpam-2022	184	9	technologies	technology	NOUN
ejpam-2022	184	10	.	.	PUNCT
ejpam-2022	185	1	international	international	ADJ
ejpam-2022	185	2	journal	journal	PROPN
ejpam-2022	185	3	of	of	ADP
ejpam-2022	185	4	systems	system	NOUN
ejpam-2022	185	5	science	science	NOUN
ejpam-2022	185	6	,	,	PUNCT
ejpam-2022	185	7	28(4):347–356	28(4):347–356	PROPN
ejpam-2022	185	8	,	,	PUNCT
ejpam-2022	185	9	1997	1997	NUM
ejpam-2022	185	10	.	.	PUNCT
ejpam-2022	186	1	[	[	X
ejpam-2022	186	2	2	2	X
ejpam-2022	186	3	]	]	PUNCT
ejpam-2022	186	4	j.	j.	PROPN
ejpam-2022	186	5	bléair	bléair	PROPN
ejpam-2022	186	6	and	and	CCONJ
ejpam-2022	186	7	m.	m.	PROPN
ejpam-2022	186	8	c.	c.	PROPN
ejpam-2022	186	9	mackey	mackey	PROPN
ejpam-2022	186	10	.	.	PUNCT
ejpam-2022	187	1	consumer	consumer	NOUN
ejpam-2022	187	2	memory	memory	NOUN
ejpam-2022	187	3	and	and	CCONJ
ejpam-2022	187	4	price	price	NOUN
ejpam-2022	187	5	fluctuations	fluctuation	NOUN
ejpam-2022	187	6	in	in	ADP
ejpam-2022	187	7	commodity	commodity	NOUN
ejpam-2022	187	8	markets	market	NOUN
ejpam-2022	187	9	:	:	PUNCT
ejpam-2022	187	10	an	an	DET
ejpam-2022	187	11	integrodifferential	integrodifferential	ADJ
ejpam-2022	187	12	model	model	NOUN
ejpam-2022	187	13	.	.	PUNCT
ejpam-2022	188	1	journal	journal	PROPN
ejpam-2022	188	2	of	of	ADP
ejpam-2022	188	3	dynamic	dynamic	NOUN
ejpam-2022	188	4	of	of	ADP
ejpam-2022	188	5	differential	differential	ADJ
ejpam-2022	188	6	equations	equation	NOUN
ejpam-2022	188	7	,	,	PUNCT
ejpam-2022	188	8	1(3):299–325	1(3):299–325	NUM
ejpam-2022	188	9	,	,	PUNCT
ejpam-2022	188	10	1989	1989	NUM
ejpam-2022	188	11	.	.	PUNCT
ejpam-2022	189	1	[	[	X
ejpam-2022	189	2	3	3	X
ejpam-2022	189	3	]	]	X
ejpam-2022	189	4	h.	h.	PROPN
ejpam-2022	189	5	l.	l.	PROPN
ejpam-2022	189	6	freedman	freedman	PROPN
ejpam-2022	189	7	.	.	PUNCT
ejpam-2022	190	1	stability	stability	NOUN
ejpam-2022	190	2	analysis	analysis	NOUN
ejpam-2022	190	3	of	of	ADP
ejpam-2022	190	4	a	a	DET
ejpam-2022	190	5	prey	prey	NOUN
ejpam-2022	190	6	-	-	PUNCT
ejpam-2022	190	7	predator	predator	NOUN
ejpam-2022	190	8	system	system	NOUN
ejpam-2022	190	9	with	with	ADP
ejpam-2022	190	10	mutual	mutual	ADJ
ejpam-2022	190	11	interference	interference	NOUN
ejpam-2022	190	12	and	and	CCONJ
ejpam-2022	190	13	density	density	NOUN
ejpam-2022	190	14	-	-	PUNCT
ejpam-2022	190	15	dependent	dependent	ADJ
ejpam-2022	190	16	death	death	NOUN
ejpam-2022	190	17	rates	rate	NOUN
ejpam-2022	190	18	.	.	PUNCT
ejpam-2022	191	1	bulletin	bulletin	NOUN
ejpam-2022	191	2	of	of	ADP
ejpam-2022	191	3	mathematical	mathematical	ADJ
ejpam-2022	191	4	biology	biology	NOUN
ejpam-2022	191	5	,	,	PUNCT
ejpam-2022	191	6	41(1):67–78	41(1):67–78	NUM
ejpam-2022	191	7	,	,	PUNCT
ejpam-2022	191	8	1979	1979	NUM
ejpam-2022	191	9	.	.	PUNCT
ejpam-2022	192	1	[	[	X
ejpam-2022	192	2	4	4	X
ejpam-2022	192	3	]	]	PUNCT
ejpam-2022	192	4	j.	j.	PROPN
ejpam-2022	192	5	k.	k.	PROPN
ejpam-2022	192	6	hale	hale	PROPN
ejpam-2022	192	7	and	and	CCONJ
ejpam-2022	192	8	s.	s.	PROPN
ejpam-2022	192	9	m.	m.	PROPN
ejpam-2022	192	10	v.	v.	PROPN
ejpam-2022	192	11	lunel	lunel	PROPN
ejpam-2022	192	12	.	.	PUNCT
ejpam-2022	193	1	introduction	introduction	NOUN
ejpam-2022	193	2	to	to	ADP
ejpam-2022	193	3	functional	functional	ADJ
ejpam-2022	193	4	differential	differential	ADJ
ejpam-2022	193	5	equations	equation	NOUN
ejpam-2022	193	6	.	.	PUNCT
ejpam-2022	194	1	springer	springer	PROPN
ejpam-2022	194	2	verlag	verlag	PROPN
ejpam-2022	194	3	new	new	PROPN
ejpam-2022	194	4	york	york	PROPN
ejpam-2022	194	5	1993	1993	NUM
ejpam-2022	194	6	,	,	PUNCT
ejpam-2022	194	7	1993	1993	NUM
ejpam-2022	194	8	.	.	PUNCT
ejpam-2022	195	1	references	reference	NOUN
ejpam-2022	195	2	163	163	NUM
ejpam-2022	195	3	[	[	X
ejpam-2022	195	4	5	5	NUM
ejpam-2022	195	5	]	]	PUNCT
ejpam-2022	195	6	t.	t.	PROPN
ejpam-2022	195	7	howroyd	howroyd	PROPN
ejpam-2022	195	8	and	and	CCONJ
ejpam-2022	195	9	a.	a.	NOUN
ejpam-2022	195	10	russel	russel	PROPN
ejpam-2022	195	11	.	.	PUNCT
ejpam-2022	196	1	cournot	cournot	PROPN
ejpam-2022	196	2	oligopoly	oligopoly	ADJ
ejpam-2022	196	3	models	model	NOUN
ejpam-2022	196	4	with	with	ADP
ejpam-2022	196	5	time	time	NOUN
ejpam-2022	196	6	delays	delay	NOUN
ejpam-2022	196	7	.	.	PUNCT
ejpam-2022	197	1	journal	journal	PROPN
ejpam-2022	197	2	of	of	ADP
ejpam-2022	197	3	mathematical	mathematical	ADJ
ejpam-2022	197	4	economics	economic	NOUN
ejpam-2022	197	5	,	,	PUNCT
ejpam-2022	197	6	1(13):97–103	1(13):97–103	NUM
ejpam-2022	197	7	,	,	PUNCT
ejpam-2022	197	8	1981	1981	NUM
ejpam-2022	197	9	.	.	PUNCT
ejpam-2022	198	1	[	[	X
ejpam-2022	198	2	6	6	NUM
ejpam-2022	198	3	]	]	X
ejpam-2022	198	4	c.	c.	PROPN
ejpam-2022	198	5	huang	huang	PROPN
ejpam-2022	198	6	,	,	PUNCT
ejpam-2022	198	7	c.	c.	PROPN
ejpam-2022	198	8	peng	peng	PROPN
ejpam-2022	198	9	c.	c.	PROPN
ejpam-2022	198	10	,	,	PUNCT
ejpam-2022	198	11	chen	chen	PROPN
ejpam-2022	198	12	,	,	PUNCT
ejpam-2022	198	13	and	and	CCONJ
ejpam-2022	198	14	f.	f.	PROPN
ejpam-2022	198	15	wen	wen	PROPN
ejpam-2022	198	16	.	.	PUNCT
ejpam-2022	198	17	dynamics	dynamic	VERB
ejpam-2022	198	18	analysis	analysis	NOUN
ejpam-2022	198	19	of	of	ADP
ejpam-2022	198	20	a	a	DET
ejpam-2022	198	21	class	class	NOUN
ejpam-2022	198	22	of	of	ADP
ejpam-2022	198	23	delayed	delay	VERB
ejpam-2022	198	24	economic	economic	ADJ
ejpam-2022	198	25	model	model	NOUN
ejpam-2022	198	26	.	.	PUNCT
ejpam-2022	199	1	abstract	abstract	ADJ
ejpam-2022	199	2	and	and	CCONJ
ejpam-2022	199	3	applied	apply	VERB
ejpam-2022	199	4	analysis	analysis	NOUN
ejpam-2022	199	5	,	,	PUNCT
ejpam-2022	199	6	2013(article	2013(article	NOUN
ejpam-2022	200	1	i	i	PROPN
ejpam-2022	200	2	d	d	PROPN
ejpam-2022	200	3	962738):12	962738):12	NUM
ejpam-2022	200	4	pages	page	NOUN
ejpam-2022	200	5	,	,	PUNCT
ejpam-2022	200	6	2013	2013	NUM
ejpam-2022	200	7	.	.	PUNCT
ejpam-2022	201	1	[	[	X
ejpam-2022	201	2	7	7	X
ejpam-2022	201	3	]	]	X
ejpam-2022	201	4	w.	w.	PROPN
ejpam-2022	201	5	huang	huang	PROPN
ejpam-2022	201	6	.	.	PUNCT
ejpam-2022	201	7	information	information	PROPN
ejpam-2022	201	8	lag	lag	VERB
ejpam-2022	201	9	and	and	CCONJ
ejpam-2022	201	10	dynamic	dynamic	ADJ
ejpam-2022	201	11	stability	stability	NOUN
ejpam-2022	201	12	.	.	PUNCT
ejpam-2022	202	1	journal	journal	PROPN
ejpam-2022	202	2	of	of	ADP
ejpam-2022	202	3	mathematical	mathematical	ADJ
ejpam-2022	202	4	economics	economic	NOUN
ejpam-2022	202	5	,	,	PUNCT
ejpam-2022	202	6	44(1):513–529	44(1):513–529	ADV
ejpam-2022	202	7	,	,	PUNCT
ejpam-2022	202	8	2013	2013	NUM
ejpam-2022	202	9	.	.	PUNCT
ejpam-2022	203	1	[	[	X
ejpam-2022	203	2	8	8	NUM
ejpam-2022	203	3	]	]	X
ejpam-2022	203	4	c.	c.	PROPN
ejpam-2022	203	5	m.	m.	PROPN
ejpam-2022	203	6	mackey	mackey	PROPN
ejpam-2022	203	7	.	.	PUNCT
ejpam-2022	204	1	commodity	commodity	NOUN
ejpam-2022	204	2	price	price	NOUN
ejpam-2022	204	3	fluctuation	fluctuation	NOUN
ejpam-2022	204	4	:	:	PUNCT
ejpam-2022	204	5	price	price	NOUN
ejpam-2022	204	6	dependent	dependent	ADJ
ejpam-2022	204	7	delays	delay	NOUN
ejpam-2022	204	8	and	and	CCONJ
ejpam-2022	204	9	nonlinearities	nonlinearitie	NOUN
ejpam-2022	204	10	explanatory	explanatory	ADJ
ejpam-2022	204	11	factors	factor	NOUN
ejpam-2022	204	12	.	.	PUNCT
ejpam-2022	205	1	48(1):497–509	48(1):497–509	NOUN
ejpam-2022	205	2	,	,	PUNCT
ejpam-2022	205	3	1989	1989	NUM
ejpam-2022	205	4	.	.	PUNCT
ejpam-2022	206	1	[	[	X
ejpam-2022	206	2	9	9	NUM
ejpam-2022	206	3	]	]	SYM
ejpam-2022	206	4	a.	a.	NOUN
ejpam-2022	206	5	matsumoto	matsumoto	PROPN
ejpam-2022	206	6	and	and	CCONJ
ejpam-2022	206	7	f.	f.	PROPN
ejpam-2022	206	8	szidarovszky	szidarovszky	PROPN
ejpam-2022	206	9	.	.	PUNCT
ejpam-2022	207	1	nonlinear	nonlinear	ADJ
ejpam-2022	207	2	delay	delay	NOUN
ejpam-2022	207	3	monopoly	monopoly	NOUN
ejpam-2022	207	4	with	with	ADP
ejpam-2022	207	5	bounded	bounded	ADJ
ejpam-2022	207	6	rationality	rationality	NOUN
ejpam-2022	207	7	.	.	PUNCT
ejpam-2022	208	1	chaos	chaos	NOUN
ejpam-2022	208	2	solitons	soliton	NOUN
ejpam-2022	208	3	and	and	CCONJ
ejpam-2022	208	4	farctais	farctais	PROPN
ejpam-2022	208	5	,	,	PUNCT
ejpam-2022	208	6	45(4):507–519	45(4):507–519	PROPN
ejpam-2022	208	7	,	,	PUNCT
ejpam-2022	208	8	2012	2012	NUM
ejpam-2022	208	9	.	.	PUNCT
ejpam-2022	209	1	[	[	X
ejpam-2022	209	2	10	10	NUM
ejpam-2022	209	3	]	]	X
ejpam-2022	209	4	d.	d.	PROPN
ejpam-2022	209	5	ritelli	ritelli	PROPN
ejpam-2022	209	6	,	,	PUNCT
ejpam-2022	209	7	g.	g.	PROPN
ejpam-2022	209	8	barbirol	barbirol	PROPN
ejpam-2022	209	9	,	,	PUNCT
ejpam-2022	209	10	and	and	CCONJ
ejpam-2022	209	11	p.	p.	NOUN
ejpam-2022	209	12	fabbri	fabbri	NOUN
ejpam-2022	209	13	.	.	PUNCT
ejpam-2022	210	1	predation	predation	NOUN
ejpam-2022	210	2	among	among	ADP
ejpam-2022	210	3	technologies	technology	NOUN
ejpam-2022	210	4	on	on	ADP
ejpam-2022	210	5	market	market	NOUN
ejpam-2022	210	6	:	:	PUNCT
ejpam-2022	210	7	a	a	DET
ejpam-2022	210	8	modelistic	modelistic	ADJ
ejpam-2022	210	9	analysis	analysis	NOUN
ejpam-2022	210	10	.	.	PUNCT
ejpam-2022	211	1	journal	journal	PROPN
ejpam-2022	211	2	of	of	ADP
ejpam-2022	211	3	mathematical	mathematical	ADJ
ejpam-2022	211	4	economics	economic	NOUN
ejpam-2022	211	5	,	,	PUNCT
ejpam-2022	211	6	27(1):347–374	27(1):347–374	PROPN
ejpam-2022	211	7	,	,	PUNCT
ejpam-2022	211	8	1997	1997	NUM
ejpam-2022	211	9	.	.	PUNCT
ejpam-2022	212	1	[	[	X
ejpam-2022	212	2	11	11	NUM
ejpam-2022	212	3	]	]	X
ejpam-2022	212	4	y.	y.	PROPN
ejpam-2022	212	5	takeuchi	takeuchi	PROPN
ejpam-2022	212	6	and	and	CCONJ
ejpam-2022	212	7	t.	t.	PROPN
ejpam-2022	212	8	yamamura	yamamura	PROPN
ejpam-2022	212	9	.	.	PUNCT
ejpam-2022	213	1	analysis	analysis	NOUN
ejpam-2022	213	2	of	of	ADP
ejpam-2022	213	3	the	the	DET
ejpam-2022	213	4	kaldor	kaldor	PROPN
ejpam-2022	213	5	model	model	NOUN
ejpam-2022	213	6	with	with	ADP
ejpam-2022	213	7	time	time	NOUN
ejpam-2022	213	8	delay	delay	NOUN
ejpam-2022	213	9	:	:	PUNCT
ejpam-2022	213	10	monetary	monetary	ADJ
ejpam-2022	213	11	policy	policy	NOUN
ejpam-2022	213	12	and	and	CCONJ
ejpam-2022	213	13	government	government	NOUN
ejpam-2022	213	14	budget	budget	NOUN
ejpam-2022	213	15	constraint	constraint	NOUN
ejpam-2022	213	16	.	.	PUNCT
ejpam-2022	214	1	nolinear	nolinear	ADJ
ejpam-2022	214	2	analysis	analysis	NOUN
ejpam-2022	214	3	real	real	ADJ
ejpam-2022	214	4	world	world	NOUN
ejpam-2022	214	5	applications	application	NOUN
ejpam-2022	214	6	,	,	PUNCT
ejpam-2022	214	7	5(1):277–308	5(1):277–308	NOUN
ejpam-2022	214	8	,	,	PUNCT
ejpam-2022	214	9	2004	2004	NUM
ejpam-2022	214	10	.	.	PUNCT
ejpam-2022	215	1	[	[	X
ejpam-2022	215	2	12	12	NUM
ejpam-2022	215	3	]	]	X
ejpam-2022	215	4	e.	e.	PROPN
ejpam-2022	215	5	wolfstetter	wolfstetter	PROPN
ejpam-2022	215	6	.	.	PUNCT
ejpam-2022	216	1	fiscal	fiscal	ADJ
ejpam-2022	216	2	policy	policy	NOUN
ejpam-2022	216	3	and	and	CCONJ
ejpam-2022	216	4	the	the	DET
ejpam-2022	216	5	classical	classical	ADJ
ejpam-2022	216	6	growth	growth	NOUN
ejpam-2022	216	7	cycle	cycle	NOUN
ejpam-2022	216	8	.	.	PUNCT
ejpam-2022	217	1	journal	journal	PROPN
ejpam-2022	217	2	of	of	ADP
ejpam-2022	217	3	economics	economic	NOUN
ejpam-2022	217	4	,	,	PUNCT
ejpam-2022	217	5	42(4):375–393	42(4):375–393	PROPN
ejpam-2022	217	6	,	,	PUNCT
ejpam-2022	217	7	1982	1982	NUM
ejpam-2022	217	8	.	.	PUNCT
ejpam-2022	218	1	[	[	X
ejpam-2022	218	2	13	13	NUM
ejpam-2022	218	3	]	]	PUNCT
ejpam-2022	218	4	t.	t.	PROPN
ejpam-2022	218	5	yamamura	yamamura	PROPN
ejpam-2022	218	6	.	.	PUNCT
ejpam-2022	219	1	analysis	analysis	NOUN
ejpam-2022	219	2	of	of	ADP
ejpam-2022	219	3	the	the	DET
ejpam-2022	219	4	kaldor	kaldor	PROPN
ejpam-2022	219	5	model	model	NOUN
ejpam-2022	219	6	with	with	ADP
ejpam-2022	219	7	time	time	NOUN
ejpam-2022	219	8	delay	delay	NOUN
ejpam-2022	219	9	:	:	PUNCT
ejpam-2022	219	10	monetary	monetary	ADJ
ejpam-2022	219	11	policy	policy	NOUN
ejpam-2022	219	12	and	and	CCONJ
ejpam-2022	219	13	government	government	NOUN
ejpam-2022	219	14	budget	budget	NOUN
ejpam-2022	219	15	constraint	constraint	NOUN
ejpam-2022	219	16	.	.	PUNCT
ejpam-2022	220	1	phd	phd	NOUN
ejpam-2022	220	2	thesis	thesis	NOUN
ejpam-2022	220	3	,	,	PUNCT
ejpam-2022	220	4	graduate	graduate	NOUN
ejpam-2022	220	5	school	school	NOUN
ejpam-2022	220	6	of	of	ADP
ejpam-2022	220	7	science	science	NOUN
ejpam-2022	220	8	and	and	CCONJ
ejpam-2022	220	9	engineering	engineering	PROPN
ejpam-2022	220	10	shizuoka	shizuoka	PROPN
ejpam-2022	220	11	university	university	PROPN
ejpam-2022	220	12	,	,	PUNCT
ejpam-2022	220	13	2001	2001	NUM
ejpam-2022	220	14	.	.	PUNCT
ejpam-2022	221	1	[	[	X
ejpam-2022	221	2	14	14	NUM
ejpam-2022	221	3	]	]	PUNCT
ejpam-2022	221	4	k.	k.	PROPN
ejpam-2022	221	5	zhu	zhu	PROPN
ejpam-2022	221	6	and	and	CCONJ
ejpam-2022	221	7	j.	j.	PROPN
ejpam-2022	221	8	p.	p.	PROPN
ejpam-2022	221	9	weyant	weyant	PROPN
ejpam-2022	221	10	.	.	PUNCT
ejpam-2022	222	1	strategic	strategic	ADJ
ejpam-2022	222	2	decisions	decision	NOUN
ejpam-2022	222	3	of	of	ADP
ejpam-2022	222	4	new	new	ADJ
ejpam-2022	222	5	technology	technology	NOUN
ejpam-2022	222	6	adoption	adoption	NOUN
ejpam-2022	222	7	under	under	ADP
ejpam-2022	222	8	asymmetric	asymmetric	ADJ
ejpam-2022	222	9	information	information	NOUN
ejpam-2022	222	10	:	:	PUNCT
ejpam-2022	222	11	a	a	DET
ejpam-2022	222	12	game	game	NOUN
ejpam-2022	222	13	-	-	PUNCT
ejpam-2022	222	14	theoretic	theoretic	NOUN
ejpam-2022	222	15	model	model	NOUN
ejpam-2022	222	16	.	.	PUNCT
ejpam-2022	223	1	decision	decision	NOUN
ejpam-2022	223	2	sciences	science	NOUN
ejpam-2022	223	3	,	,	PUNCT
ejpam-2022	223	4	34(4):643–675	34(4):643–675	PROPN
ejpam-2022	223	5	,	,	PUNCT
ejpam-2022	223	6	2003	2003	NUM
ejpam-2022	223	7	.	.	PUNCT
ejpam-2022	224	1	appendix	appendix	VERB
ejpam-2022	224	2	in	in	ADP
ejpam-2022	224	3	order	order	NOUN
ejpam-2022	224	4	to	to	PART
ejpam-2022	224	5	simplify	simplify	VERB
ejpam-2022	224	6	notation	notation	NOUN
ejpam-2022	224	7	we	we	PRON
ejpam-2022	224	8	set	set	VERB
ejpam-2022	224	9	x̄	x̄	NOUN
ejpam-2022	224	10	=	=	PRON
ejpam-2022	224	11	b+	b+	X
ejpam-2022	224	12	p	p	NOUN
ejpam-2022	224	13	b2	b2	NOUN
ejpam-2022	224	14	+	+	CCONJ
ejpam-2022	224	15	2a	2a	NUM
ejpam-2022	224	16	2	2	NUM
ejpam-2022	224	17	,	,	PUNCT
ejpam-2022	224	18	ȳ	ȳ	NOUN
ejpam-2022	224	19	=	=	PUNCT
ejpam-2022	224	20	x̄	x̄	NOUN
ejpam-2022	224	21	2	2	NUM
ejpam-2022	224	22	+	+	SYM
ejpam-2022	224	23	b	b	SYM
ejpam-2022	224	24	2	2	NUM
ejpam-2022	224	25	−	−	NOUN
ejpam-2022	224	26	d	d	NOUN
ejpam-2022	224	27	2	2	NUM
ejpam-2022	224	28	+	+	CCONJ
ejpam-2022	224	29	√	√	NUM
ejpam-2022	224	30	√	√	PROPN
ejpam-2022	224	31	(	(	PUNCT
ejpam-2022	224	32	x̄	x̄	NOUN
ejpam-2022	224	33	2	2	NUM
ejpam-2022	224	34	+	+	SYM
ejpam-2022	224	35	b	b	SYM
ejpam-2022	224	36	2	2	NUM
ejpam-2022	224	37	−	−	NOUN
ejpam-2022	224	38	d	d	NOUN
ejpam-2022	224	39	2	2	NUM
ejpam-2022	224	40	)	)	SYM
ejpam-2022	224	41	2	2	NUM
ejpam-2022	224	42	+	+	CCONJ
ejpam-2022	224	43	a+	a+	X
ejpam-2022	224	44	c.	c.	NOUN
ejpam-2022	224	45	(	(	PUNCT
ejpam-2022	224	46	a1	a1	PROPN
ejpam-2022	224	47	)	)	PUNCT
ejpam-2022	224	48	unfortunately	unfortunately	ADV
ejpam-2022	224	49	,	,	PUNCT
ejpam-2022	224	50	the	the	DET
ejpam-2022	224	51	analysis	analysis	NOUN
ejpam-2022	224	52	is	be	AUX
ejpam-2022	224	53	not	not	PART
ejpam-2022	224	54	easy	easy	ADJ
ejpam-2022	224	55	,	,	PUNCT
ejpam-2022	224	56	since	since	SCONJ
ejpam-2022	224	57	it	it	PRON
ejpam-2022	224	58	involves	involve	VERB
ejpam-2022	224	59	hard	hard	ADJ
ejpam-2022	224	60	computations	computation	NOUN
ejpam-2022	224	61	.	.	PUNCT
ejpam-2022	225	1	proposition	proposition	NOUN
ejpam-2022	225	2	1	1	NUM
ejpam-2022	225	3	.	.	X
ejpam-2022	226	1	assume	assume	VERB
ejpam-2022	226	2	(	(	PUNCT
ejpam-2022	226	3	7	7	X
ejpam-2022	226	4	)	)	PUNCT
ejpam-2022	226	5	are	be	AUX
ejpam-2022	226	6	satisfied	satisfied	ADJ
ejpam-2022	226	7	and	and	CCONJ
ejpam-2022	226	8	(	(	PUNCT
ejpam-2022	226	9	i	i	NOUN
ejpam-2022	226	10	)	)	PUNCT
ejpam-2022	227	1	d	d	X
ejpam-2022	227	2	<	<	X
ejpam-2022	227	3	min{−	min{−	X
ejpam-2022	227	4	p	p	NOUN
ejpam-2022	227	5	2b,−	2b,−	NOUN
ejpam-2022	227	6	p	p	NOUN
ejpam-2022	227	7	2c	2c	NOUN
ejpam-2022	227	8	}	}	PUNCT
ejpam-2022	227	9	,	,	PUNCT
ejpam-2022	227	10	2r	2r	NUM
ejpam-2022	227	11	<	<	X
ejpam-2022	228	1	2σ	2σ	X
ejpam-2022	228	2	<	<	X
ejpam-2022	228	3	π	π	X
ejpam-2022	228	4	,	,	PUNCT
ejpam-2022	228	5	(	(	PUNCT
ejpam-2022	228	6	ii	ii	NOUN
ejpam-2022	228	7	)	)	PUNCT
ejpam-2022	228	8	4a+	4a+	NUM
ejpam-2022	228	9	(	(	PUNCT
ejpam-2022	228	10	b+	b+	NUM
ejpam-2022	228	11	d)2	d)2	VERB
ejpam-2022	228	12	<	<	X
ejpam-2022	228	13	4c	4c	NOUN
ejpam-2022	228	14	,	,	PUNCT
ejpam-2022	228	15	ȳ	ȳ	PROPN
ejpam-2022	228	16	<	<	X
ejpam-2022	228	17	2	2	NUM
ejpam-2022	228	18	,	,	PUNCT
ejpam-2022	228	19	references	reference	NOUN
ejpam-2022	228	20	164	164	NUM
ejpam-2022	228	21	(	(	PUNCT
ejpam-2022	228	22	iii	iii	NOUN
ejpam-2022	228	23	)	)	PUNCT
ejpam-2022	228	24	b	b	NOUN
ejpam-2022	228	25	<	<	X
ejpam-2022	228	26	2	2	NUM
ejpam-2022	228	27	p	p	NOUN
ejpam-2022	228	28	2υ(a	2υ(a	NUM
ejpam-2022	228	29	,	,	PUNCT
ejpam-2022	228	30	c)(d2	c)(d2	PROPN
ejpam-2022	228	31	−	−	PROPN
ejpam-2022	228	32	2c	2c	NUM
ejpam-2022	228	33	)	)	PUNCT
ejpam-2022	228	34	,	,	PUNCT
ejpam-2022	228	35	where	where	SCONJ
ejpam-2022	228	36	υ(a	υ(a	NOUN
ejpam-2022	228	37	,	,	PUNCT
ejpam-2022	228	38	c	c	NOUN
ejpam-2022	228	39	)	)	PUNCT
ejpam-2022	229	1	=	=	PUNCT
ejpam-2022	229	2	c2−a2	c2−a2	PROPN
ejpam-2022	229	3	8c2+a2	8c2+a2	NUM
ejpam-2022	229	4	.	.	PUNCT
ejpam-2022	230	1	then	then	ADV
ejpam-2022	230	2	,	,	PUNCT
ejpam-2022	230	3	there	there	PRON
ejpam-2022	230	4	is	be	VERB
ejpam-2022	230	5	ε0	ε0	PROPN
ejpam-2022	230	6	>	>	X
ejpam-2022	230	7	0	0	PUNCT
ejpam-2022	231	1	so	so	SCONJ
ejpam-2022	231	2	that	that	SCONJ
ejpam-2022	231	3	if	if	SCONJ
ejpam-2022	231	4	x̄	x̄	PROPN
ejpam-2022	231	5	<	<	X
ejpam-2022	231	6	ε0	ε0	PROPN
ejpam-2022	231	7	,	,	PUNCT
ejpam-2022	231	8	all	all	DET
ejpam-2022	231	9	roots	root	NOUN
ejpam-2022	231	10	of	of	ADP
ejpam-2022	231	11	the	the	DET
ejpam-2022	231	12	equation	equation	NOUN
ejpam-2022	231	13	(	(	PUNCT
ejpam-2022	231	14	3	3	X
ejpam-2022	231	15	)	)	PUNCT
ejpam-2022	231	16	have	have	VERB
ejpam-2022	231	17	negative	negative	ADJ
ejpam-2022	231	18	real	real	ADJ
ejpam-2022	231	19	part	part	NOUN
ejpam-2022	231	20	.	.	PUNCT
ejpam-2022	232	1	proof	proof	NOUN
ejpam-2022	232	2	.	.	PUNCT
ejpam-2022	233	1	we	we	PRON
ejpam-2022	233	2	observe	observe	VERB
ejpam-2022	233	3	that	that	SCONJ
ejpam-2022	233	4	a	a	DET
ejpam-2022	233	5	,	,	PUNCT
ejpam-2022	233	6	b	b	NOUN
ejpam-2022	233	7	and	and	CCONJ
ejpam-2022	233	8	c	c	PROPN
ejpam-2022	233	9	are	be	AUX
ejpam-2022	233	10	positive	positive	ADJ
ejpam-2022	233	11	,	,	PUNCT
ejpam-2022	233	12	d	d	PRON
ejpam-2022	233	13	is	be	AUX
ejpam-2022	233	14	negative	negative	ADJ
ejpam-2022	233	15	and	and	CCONJ
ejpam-2022	233	16	c	c	X
ejpam-2022	233	17	>	>	X
ejpam-2022	233	18	a.	a.	NOUN
ejpam-2022	234	1	we	we	PRON
ejpam-2022	234	2	suppose	suppose	VERB
ejpam-2022	234	3	that	that	SCONJ
ejpam-2022	234	4	y	y	PROPN
ejpam-2022	234	5	=	=	NOUN
ejpam-2022	234	6	0	0	NUM
ejpam-2022	234	7	in	in	ADP
ejpam-2022	234	8	(	(	PUNCT
ejpam-2022	234	9	4	4	NUM
ejpam-2022	234	10	)	)	PUNCT
ejpam-2022	234	11	.	.	PUNCT
ejpam-2022	235	1	the	the	DET
ejpam-2022	235	2	system	system	NOUN
ejpam-2022	235	3	reduces	reduce	VERB
ejpam-2022	235	4	to	to	ADP
ejpam-2022	235	5	x2	x2	PROPN
ejpam-2022	235	6	−	−	PROPN
ejpam-2022	235	7	(	(	PUNCT
ejpam-2022	235	8	be−σx	be−σx	NOUN
ejpam-2022	235	9	+	+	CCONJ
ejpam-2022	235	10	d)x	d)x	NOUN
ejpam-2022	236	1	−	−	X
ejpam-2022	236	2	ae−r	ae−r	NOUN
ejpam-2022	236	3	x	x	PUNCT
ejpam-2022	236	4	+	+	X
ejpam-2022	236	5	c	c	NOUN
ejpam-2022	236	6	=	=	SYM
ejpam-2022	236	7	0	0	PUNCT
ejpam-2022	236	8	if	if	SCONJ
ejpam-2022	236	9	ϑ(x	ϑ(x	PROPN
ejpam-2022	236	10	)	)	PUNCT
ejpam-2022	236	11	=	=	SYM
ejpam-2022	237	1	x2	x2	NUM
ejpam-2022	237	2	−	−	PROPN
ejpam-2022	237	3	(	(	PUNCT
ejpam-2022	237	4	be−σx	be−σx	NOUN
ejpam-2022	237	5	+	+	CCONJ
ejpam-2022	237	6	d)x	d)x	NOUN
ejpam-2022	237	7	−	−	X
ejpam-2022	237	8	ae−r	ae−r	NOUN
ejpam-2022	237	9	x	x	PUNCT
ejpam-2022	238	1	+	+	NUM
ejpam-2022	238	2	c	c	VERB
ejpam-2022	238	3	then	then	ADV
ejpam-2022	238	4	ϑ(0	ϑ(0	PROPN
ejpam-2022	238	5	)	)	PUNCT
ejpam-2022	238	6	>	>	X
ejpam-2022	239	1	0	0	X
ejpam-2022	239	2	.	.	PUNCT
ejpam-2022	240	1	if	if	SCONJ
ejpam-2022	240	2	x	x	PROPN
ejpam-2022	240	3	>	>	X
ejpam-2022	240	4	0	0	NUM
ejpam-2022	240	5	,	,	PUNCT
ejpam-2022	240	6	the	the	DET
ejpam-2022	240	7	first	first	ADJ
ejpam-2022	240	8	inequality	inequality	NOUN
ejpam-2022	240	9	in	in	ADP
ejpam-2022	240	10	(	(	PUNCT
ejpam-2022	240	11	i	i	NOUN
ejpam-2022	240	12	)	)	PUNCT
ejpam-2022	240	13	gives	give	VERB
ejpam-2022	240	14	ϑ(x	ϑ(x	PROPN
ejpam-2022	240	15	)	)	PUNCT
ejpam-2022	240	16	>	>	X
ejpam-2022	241	1	x2	x2	INTJ
ejpam-2022	241	2	−	−	PROPN
ejpam-2022	241	3	(	(	PUNCT
ejpam-2022	241	4	b+	b+	NOUN
ejpam-2022	241	5	d)x	d)x	PUNCT
ejpam-2022	241	6	−	−	PROPN
ejpam-2022	241	7	a+	a+	PUNCT
ejpam-2022	242	1	c	c	X
ejpam-2022	242	2	>	>	X
ejpam-2022	242	3	0	0	NUM
ejpam-2022	242	4	.	.	PUNCT
ejpam-2022	243	1	from	from	ADP
ejpam-2022	243	2	this	this	PRON
ejpam-2022	243	3	it	it	PRON
ejpam-2022	243	4	follows	follow	VERB
ejpam-2022	243	5	that	that	SCONJ
ejpam-2022	243	6	p(λ	p(λ	NOUN
ejpam-2022	243	7	)	)	PUNCT
ejpam-2022	243	8	=	=	SYM
ejpam-2022	243	9	0	0	PUNCT
ejpam-2022	243	10	has	have	VERB
ejpam-2022	243	11	no	no	DET
ejpam-2022	243	12	positive	positive	ADJ
ejpam-2022	243	13	solution	solution	NOUN
ejpam-2022	243	14	with	with	ADP
ejpam-2022	243	15	null	null	ADJ
ejpam-2022	243	16	imaginary	imaginary	ADJ
ejpam-2022	243	17	part	part	NOUN
ejpam-2022	243	18	(	(	PUNCT
ejpam-2022	243	19	see	see	VERB
ejpam-2022	243	20	(	(	PUNCT
ejpam-2022	243	21	3	3	NUM
ejpam-2022	243	22	)	)	PUNCT
ejpam-2022	243	23	)	)	PUNCT
ejpam-2022	243	24	.	.	PUNCT
ejpam-2022	244	1	let	let	AUX
ejpam-2022	244	2	consider	consider	VERB
ejpam-2022	244	3	the	the	DET
ejpam-2022	244	4	sets	set	NOUN
ejpam-2022	244	5	si	si	INTJ
ejpam-2022	244	6	for	for	ADP
ejpam-2022	244	7	i	i	PRON
ejpam-2022	244	8	∈	∈	PROPN
ejpam-2022	244	9	{	{	PUNCT
ejpam-2022	244	10	0	0	NUM
ejpam-2022	244	11	,	,	PUNCT
ejpam-2022	244	12	1,2	1,2	NUM
ejpam-2022	244	13	,	,	PUNCT
ejpam-2022	244	14	·	·	PUNCT
ejpam-2022	244	15	·	·	PUNCT
ejpam-2022	244	16	·	·	PUNCT
ejpam-2022	244	17	,	,	PUNCT
ejpam-2022	244	18	6	6	X
ejpam-2022	244	19	}	}	PUNCT
ejpam-2022	244	20	given	give	VERB
ejpam-2022	244	21	by	by	ADP
ejpam-2022	244	22	s0	s0	PROPN
ejpam-2022	244	23	=	=	SYM
ejpam-2022	244	24	{	{	PUNCT
ejpam-2022	244	25	(	(	PUNCT
ejpam-2022	244	26	x	x	INTJ
ejpam-2022	244	27	,	,	PUNCT
ejpam-2022	244	28	y	y	PROPN
ejpam-2022	244	29	)	)	PUNCT
ejpam-2022	244	30	∈	∈	PROPN
ejpam-2022	244	31	r	r	NOUN
ejpam-2022	244	32	:	:	PUNCT
ejpam-2022	244	33	0	0	NUM
ejpam-2022	244	34	<	<	X
ejpam-2022	244	35	x	x	SYM
ejpam-2022	244	36	≤	≤	PUNCT
ejpam-2022	244	37	x̄	x̄	NOUN
ejpam-2022	244	38	and	and	CCONJ
ejpam-2022	244	39	0	0	NUM
ejpam-2022	244	40	<	<	X
ejpam-2022	244	41	ȳ	ȳ	PROPN
ejpam-2022	244	42	≤	≤	PROPN
ejpam-2022	244	43	y	y	PROPN
ejpam-2022	244	44	}	}	PUNCT
ejpam-2022	244	45	;	;	PUNCT
ejpam-2022	245	1	s1	s1	PROPN
ejpam-2022	245	2	=	=	PRON
ejpam-2022	245	3	{	{	PUNCT
ejpam-2022	245	4	(	(	PUNCT
ejpam-2022	245	5	x	x	INTJ
ejpam-2022	245	6	,	,	PUNCT
ejpam-2022	245	7	y	y	PROPN
ejpam-2022	245	8	)	)	PUNCT
ejpam-2022	245	9	∈	∈	PROPN
ejpam-2022	245	10	r2	r2	NOUN
ejpam-2022	245	11	:	:	PUNCT
ejpam-2022	245	12	0	0	NUM
ejpam-2022	245	13	<	<	X
ejpam-2022	245	14	4σy	4σy	NOUN
ejpam-2022	245	15	≤	≤	PROPN
ejpam-2022	245	16	π	π	PROPN
ejpam-2022	245	17	,	,	PUNCT
ejpam-2022	245	18	and	and	CCONJ
ejpam-2022	245	19	2x	2x	NUM
ejpam-2022	245	20	>	>	X
ejpam-2022	245	21	b	b	X
ejpam-2022	245	22	}	}	PUNCT
ejpam-2022	245	23	;	;	PUNCT
ejpam-2022	245	24	s2	s2	PROPN
ejpam-2022	245	25	=	=	PRON
ejpam-2022	245	26	{	{	PUNCT
ejpam-2022	245	27	(	(	PUNCT
ejpam-2022	245	28	x	x	INTJ
ejpam-2022	245	29	,	,	PUNCT
ejpam-2022	245	30	y	y	PROPN
ejpam-2022	245	31	)	)	PUNCT
ejpam-2022	245	32	∈	∈	PROPN
ejpam-2022	245	33	r2	r2	NOUN
ejpam-2022	245	34	:	:	PUNCT
ejpam-2022	245	35	π≤	π≤	PROPN
ejpam-2022	245	36	4σy	4σy	NOUN
ejpam-2022	245	37	≤	≤	VERB
ejpam-2022	245	38	2π	2π	NOUN
ejpam-2022	245	39	and	and	CCONJ
ejpam-2022	245	40	0	0	NUM
ejpam-2022	245	41	<	<	X
ejpam-2022	245	42	y	y	PROPN
ejpam-2022	245	43	≤	≤	NUM
ejpam-2022	245	44	x	x	X
ejpam-2022	245	45	}	}	PUNCT
ejpam-2022	245	46	;	;	PUNCT
ejpam-2022	245	47	s3	s3	PROPN
ejpam-2022	245	48	=	=	PRON
ejpam-2022	245	49	{	{	PUNCT
ejpam-2022	245	50	(	(	PUNCT
ejpam-2022	245	51	x	x	INTJ
ejpam-2022	245	52	,	,	PUNCT
ejpam-2022	245	53	y	y	PROPN
ejpam-2022	245	54	)	)	PUNCT
ejpam-2022	245	55	∈	∈	PROPN
ejpam-2022	245	56	r2	r2	NOUN
ejpam-2022	245	57	:	:	PUNCT
ejpam-2022	245	58	π≤	π≤	PROPN
ejpam-2022	245	59	2σy	2σy	NOUN
ejpam-2022	245	60	≤	≤	VERB
ejpam-2022	245	61	2π	2π	NOUN
ejpam-2022	245	62	and	and	CCONJ
ejpam-2022	245	63	x	x	X
ejpam-2022	245	64	>	>	X
ejpam-2022	245	65	0	0	NUM
ejpam-2022	245	66	}	}	PUNCT
ejpam-2022	245	67	;	;	PUNCT
ejpam-2022	245	68	s4	s4	PROPN
ejpam-2022	245	69	=	=	PRON
ejpam-2022	245	70	{	{	PUNCT
ejpam-2022	245	71	(	(	PUNCT
ejpam-2022	245	72	x	x	INTJ
ejpam-2022	245	73	,	,	PUNCT
ejpam-2022	245	74	y	y	PROPN
ejpam-2022	245	75	)	)	PUNCT
ejpam-2022	245	76	∈	∈	PROPN
ejpam-2022	245	77	r2	r2	NOUN
ejpam-2022	245	78	:	:	PUNCT
ejpam-2022	245	79	0	0	PUNCT
ejpam-2022	245	80	<	<	X
ejpam-2022	245	81	y	y	PROPN
ejpam-2022	245	82	≤	≤	NUM
ejpam-2022	245	83	x	x	PUNCT
ejpam-2022	245	84	and	and	CCONJ
ejpam-2022	245	85	y	y	PROPN
ejpam-2022	245	86	≥	≥	NOUN
ejpam-2022	245	87	x̄	x̄	NUM
ejpam-2022	245	88	}	}	PUNCT
ejpam-2022	245	89	;	;	PUNCT
ejpam-2022	245	90	s5	s5	PROPN
ejpam-2022	245	91	=	=	PRON
ejpam-2022	245	92	{	{	PUNCT
ejpam-2022	245	93	(	(	PUNCT
ejpam-2022	245	94	x	x	INTJ
ejpam-2022	245	95	,	,	PUNCT
ejpam-2022	245	96	y	y	PROPN
ejpam-2022	245	97	)	)	PUNCT
ejpam-2022	245	98	∈	∈	PROPN
ejpam-2022	245	99	r2	r2	NOUN
ejpam-2022	245	100	:	:	PUNCT
ejpam-2022	245	101	0	0	PUNCT
ejpam-2022	245	102	<	<	X
ejpam-2022	245	103	x	x	X
ejpam-2022	245	104	≤	≤	ADJ
ejpam-2022	245	105	y	y	PROPN
ejpam-2022	245	106	and	and	CCONJ
ejpam-2022	245	107	x	x	PRON
ejpam-2022	245	108	≥	≥	NOUN
ejpam-2022	245	109	x̄	x̄	NUM
ejpam-2022	245	110	}	}	PUNCT
ejpam-2022	245	111	;	;	PUNCT
ejpam-2022	245	112	s6	s6	PROPN
ejpam-2022	245	113	=	=	PRON
ejpam-2022	245	114	{	{	PUNCT
ejpam-2022	245	115	(	(	PUNCT
ejpam-2022	245	116	x	x	INTJ
ejpam-2022	245	117	,	,	PUNCT
ejpam-2022	245	118	y	y	PROPN
ejpam-2022	245	119	)	)	PUNCT
ejpam-2022	245	120	∈	∈	PROPN
ejpam-2022	245	121	r2	r2	NOUN
ejpam-2022	245	122	:	:	PUNCT
ejpam-2022	245	123	π≤	π≤	PROPN
ejpam-2022	245	124	4σy	4σy	NOUN
ejpam-2022	245	125	≤	≤	VERB
ejpam-2022	245	126	2π	2π	NOUN
ejpam-2022	245	127	and	and	CCONJ
ejpam-2022	245	128	0	0	NUM
ejpam-2022	245	129	<	<	X
ejpam-2022	245	130	x	x	X
ejpam-2022	245	131	≤	≤	NUM
ejpam-2022	245	132	y	y	NOUN
ejpam-2022	245	133	}	}	PUNCT
ejpam-2022	245	134	.	.	PUNCT
ejpam-2022	245	135	(	(	PUNCT
ejpam-2022	245	136	a2	a2	PROPN
ejpam-2022	245	137	)	)	PUNCT
ejpam-2022	245	138	for	for	ADP
ejpam-2022	245	139	each	each	DET
ejpam-2022	245	140	(	(	PUNCT
ejpam-2022	245	141	x	x	PROPN
ejpam-2022	245	142	,	,	PUNCT
ejpam-2022	245	143	y	y	PROPN
ejpam-2022	245	144	)	)	PUNCT
ejpam-2022	245	145	∈	∈	NOUN
ejpam-2022	245	146	r2	r2	NOUN
ejpam-2022	245	147	+	+	PROPN
ejpam-2022	245	148	,	,	PUNCT
ejpam-2022	245	149	the	the	DET
ejpam-2022	245	150	first	first	ADJ
ejpam-2022	245	151	equation	equation	NOUN
ejpam-2022	245	152	in	in	ADP
ejpam-2022	245	153	(	(	PUNCT
ejpam-2022	245	154	4	4	NUM
ejpam-2022	245	155	)	)	PUNCT
ejpam-2022	245	156	becomes	become	VERB
ejpam-2022	245	157	equivalent	equivalent	ADJ
ejpam-2022	245	158	to	to	ADP
ejpam-2022	245	159	γ1(x	γ1(x	PROPN
ejpam-2022	245	160	,	,	PUNCT
ejpam-2022	245	161	y	y	PROPN
ejpam-2022	245	162	)	)	PUNCT
ejpam-2022	245	163	=	=	SYM
ejpam-2022	245	164	0	0	NUM
ejpam-2022	245	165	,	,	PUNCT
ejpam-2022	245	166	(	(	PUNCT
ejpam-2022	245	167	a3	a3	NOUN
ejpam-2022	245	168	)	)	PUNCT
ejpam-2022	246	1	where	where	SCONJ
ejpam-2022	246	2	γ1(x	γ1(x	PROPN
ejpam-2022	246	3	,	,	PUNCT
ejpam-2022	246	4	y	y	PROPN
ejpam-2022	246	5	)	)	PUNCT
ejpam-2022	246	6	=	=	PUNCT
ejpam-2022	247	1	x	x	PUNCT
ejpam-2022	247	2	−	−	PUNCT
ejpam-2022	247	3	y	y	NOUN
ejpam-2022	247	4	−	−	PROPN
ejpam-2022	247	5	d	d	NOUN
ejpam-2022	247	6	x	x	PUNCT
ejpam-2022	247	7	−	−	PROPN
ejpam-2022	247	8	c	c	NOUN
ejpam-2022	247	9	x	x	PUNCT
ejpam-2022	248	1	+	+	CCONJ
ejpam-2022	248	2	y	y	PROPN
ejpam-2022	248	3	−	−	PROPN
ejpam-2022	248	4	be−xσζ1(x	be−xσζ1(x	NOUN
ejpam-2022	248	5	,	,	PUNCT
ejpam-2022	248	6	y)−	y)−	PROPN
ejpam-2022	248	7	e−x	e−x	NOUN
ejpam-2022	248	8	r	r	NOUN
ejpam-2022	248	9	x	x	PUNCT
ejpam-2022	249	1	+	+	CCONJ
ejpam-2022	249	2	y	y	PROPN
ejpam-2022	249	3	a	a	DET
ejpam-2022	249	4	cos	cos	PROPN
ejpam-2022	249	5	y	y	PROPN
ejpam-2022	249	6	r	r	PROPN
ejpam-2022	249	7	and	and	CCONJ
ejpam-2022	249	8	ζ1(x	ζ1(x	PROPN
ejpam-2022	249	9	,	,	PUNCT
ejpam-2022	249	10	y	y	PROPN
ejpam-2022	249	11	)	)	PUNCT
ejpam-2022	249	12	=	=	SYM
ejpam-2022	249	13	(	(	PUNCT
ejpam-2022	249	14	x	x	SYM
ejpam-2022	249	15	+	+	NUM
ejpam-2022	249	16	y)−1[x	y)−1[x	NOUN
ejpam-2022	249	17	cos	cos	PROPN
ejpam-2022	249	18	yσ+	yσ+	PROPN
ejpam-2022	249	19	y	y	PROPN
ejpam-2022	249	20	sin	sin	VERB
ejpam-2022	249	21	yσ	yσ	PRON
ejpam-2022	249	22	]	]	PUNCT
ejpam-2022	249	23	.	.	PUNCT
ejpam-2022	250	1	we	we	PRON
ejpam-2022	250	2	note	note	VERB
ejpam-2022	250	3	that	that	SCONJ
ejpam-2022	250	4	|ζ1(x	|ζ1(x	ADV
ejpam-2022	250	5	,	,	PUNCT
ejpam-2022	250	6	y)|	y)|	PROPN
ejpam-2022	250	7	≤	≤	ADV
ejpam-2022	250	8	1	1	NUM
ejpam-2022	250	9	and	and	CCONJ
ejpam-2022	250	10	−ae−r	−ae−r	NUM
ejpam-2022	250	11	x	x	SYM
ejpam-2022	251	1	x	x	X
ejpam-2022	251	2	+	+	NUM
ejpam-2022	251	3	y	y	PROPN
ejpam-2022	251	4	≤	≤	NUM
ejpam-2022	251	5	−ae−r	−ae−r	NOUN
ejpam-2022	251	6	x	x	SYM
ejpam-2022	252	1	cos	cos	ADP
ejpam-2022	252	2	r	r	NOUN
ejpam-2022	252	3	y	y	PROPN
ejpam-2022	252	4	x	x	PROPN
ejpam-2022	253	1	+	+	NUM
ejpam-2022	253	2	y	y	PROPN
ejpam-2022	253	3	≤	≤	X
ejpam-2022	253	4	ae−r	ae−r	VERB
ejpam-2022	253	5	x	x	X
ejpam-2022	253	6	x	x	PROPN
ejpam-2022	253	7	+	+	NUM
ejpam-2022	253	8	y	y	PROPN
ejpam-2022	253	9	≤	≤	X
ejpam-2022	253	10	ae−r	ae−r	PROPN
ejpam-2022	253	11	x	x	PROPN
ejpam-2022	253	12	y	y	PROPN
ejpam-2022	253	13	.	.	PUNCT
ejpam-2022	254	1	(	(	PUNCT
ejpam-2022	254	2	a4	a4	INTJ
ejpam-2022	254	3	)	)	PUNCT
ejpam-2022	254	4	if	if	SCONJ
ejpam-2022	254	5	ε∗(x	ε∗(x	NOUN
ejpam-2022	254	6	,	,	PUNCT
ejpam-2022	254	7	y	y	NOUN
ejpam-2022	254	8	)	)	PUNCT
ejpam-2022	254	9	=	=	SYM
ejpam-2022	255	1	−y2+(b+	−y2+(b+	PROPN
ejpam-2022	255	2	x−d)y+a+	x−d)y+a+	NOUN
ejpam-2022	256	1	c	c	X
ejpam-2022	256	2	,	,	PUNCT
ejpam-2022	256	3	then	then	ADV
ejpam-2022	256	4	yγ1(x	yγ1(x	PROPN
ejpam-2022	256	5	,	,	PUNCT
ejpam-2022	256	6	y	y	PROPN
ejpam-2022	256	7	)	)	PUNCT
ejpam-2022	256	8	<	<	X
ejpam-2022	256	9	ε∗(x	ε∗(x	PROPN
ejpam-2022	256	10	,	,	PUNCT
ejpam-2022	256	11	y	y	PROPN
ejpam-2022	256	12	)	)	PUNCT
ejpam-2022	256	13	since	since	SCONJ
ejpam-2022	256	14	−d	−d	NOUN
ejpam-2022	256	15	x	x	X
ejpam-2022	256	16	<	<	X
ejpam-2022	256	17	−d(x+	−d(x+	NUM
ejpam-2022	256	18	y	y	NOUN
ejpam-2022	256	19	)	)	PUNCT
ejpam-2022	256	20	.	.	PUNCT
ejpam-2022	257	1	if	if	SCONJ
ejpam-2022	257	2	(	(	PUNCT
ejpam-2022	257	3	x	x	X
ejpam-2022	257	4	,	,	PUNCT
ejpam-2022	257	5	y	y	PROPN
ejpam-2022	257	6	)	)	PUNCT
ejpam-2022	257	7	∈	∈	PROPN
ejpam-2022	257	8	s0	s0	PROPN
ejpam-2022	257	9	,	,	PUNCT
ejpam-2022	257	10	we	we	PRON
ejpam-2022	257	11	can	can	AUX
ejpam-2022	257	12	verify	verify	VERB
ejpam-2022	257	13	that	that	SCONJ
ejpam-2022	257	14	ε∗(x	ε∗(x	NOUN
ejpam-2022	257	15	,	,	PUNCT
ejpam-2022	257	16	y	y	PROPN
ejpam-2022	257	17	)	)	PUNCT
ejpam-2022	257	18	<	<	X
ejpam-2022	257	19	0	0	PUNCT
ejpam-2022	258	1	and	and	CCONJ
ejpam-2022	258	2	so	so	ADV
ejpam-2022	258	3	,	,	PUNCT
ejpam-2022	258	4	equation	equation	NOUN
ejpam-2022	258	5	a3	a3	NOUN
ejpam-2022	258	6	has	have	VERB
ejpam-2022	258	7	no	no	DET
ejpam-2022	258	8	solution	solution	NOUN
ejpam-2022	258	9	belonging	belong	VERB
ejpam-2022	258	10	to	to	ADP
ejpam-2022	258	11	s0	s0	PROPN
ejpam-2022	258	12	.	.	PUNCT
ejpam-2022	259	1	in	in	ADP
ejpam-2022	259	2	fact	fact	NOUN
ejpam-2022	259	3	,	,	PUNCT
ejpam-2022	259	4	the	the	DET
ejpam-2022	259	5	function	function	NOUN
ejpam-2022	259	6	y(x	y(x	PROPN
ejpam-2022	259	7	)	)	PUNCT
ejpam-2022	259	8	=	=	PUNCT
ejpam-2022	259	9	(	(	PUNCT
ejpam-2022	259	10	b+x−d)+	b+x−d)+	NOUN
ejpam-2022	259	11	p	p	X
ejpam-2022	259	12	(	(	PUNCT
ejpam-2022	259	13	b+x−d)2	b+x−d)2	PROPN
ejpam-2022	259	14	+	+	PROPN
ejpam-2022	259	15	4(a+c	4(a+c	NUM
ejpam-2022	259	16	)	)	PUNCT
ejpam-2022	259	17	2	2	NUM
ejpam-2022	259	18	is	be	AUX
ejpam-2022	259	19	increasing	increase	VERB
ejpam-2022	259	20	in	in	ADP
ejpam-2022	259	21	x	x	PUNCT
ejpam-2022	259	22	and	and	CCONJ
ejpam-2022	259	23	gives	give	VERB
ejpam-2022	259	24	a	a	DET
ejpam-2022	259	25	positive	positive	ADJ
ejpam-2022	259	26	solution	solution	NOUN
ejpam-2022	259	27	for	for	ADP
ejpam-2022	259	28	the	the	DET
ejpam-2022	259	29	second	second	ADJ
ejpam-2022	259	30	degree	degree	NOUN
ejpam-2022	259	31	equation	equation	NOUN
ejpam-2022	259	32	in	in	ADP
ejpam-2022	259	33	y	y	NOUN
ejpam-2022	259	34	given	give	VERB
ejpam-2022	259	35	by	by	ADP
ejpam-2022	259	36	ε∗(x	ε∗(x	PROPN
ejpam-2022	259	37	,	,	PUNCT
ejpam-2022	259	38	y	y	PROPN
ejpam-2022	259	39	)	)	PUNCT
ejpam-2022	259	40	=	=	SYM
ejpam-2022	260	1	0	0	X
ejpam-2022	260	2	.	.	PUNCT
ejpam-2022	261	1	the	the	DET
ejpam-2022	261	2	second	second	ADJ
ejpam-2022	261	3	equation	equation	NOUN
ejpam-2022	261	4	in	in	ADP
ejpam-2022	261	5	(	(	PUNCT
ejpam-2022	261	6	4	4	NUM
ejpam-2022	261	7	)	)	PUNCT
ejpam-2022	261	8	is	be	AUX
ejpam-2022	261	9	equivalent	equivalent	ADJ
ejpam-2022	261	10	to	to	ADP
ejpam-2022	261	11	γ2(x	γ2(x	SYM
ejpam-2022	261	12	,	,	PUNCT
ejpam-2022	261	13	y	y	PROPN
ejpam-2022	261	14	)	)	PUNCT
ejpam-2022	261	15	=	=	PUNCT
ejpam-2022	262	1	2x	2x	NUM
ejpam-2022	262	2	y	y	NOUN
ejpam-2022	262	3	−	−	PROPN
ejpam-2022	263	1	d	d	X
ejpam-2022	263	2	y	y	PROPN
ejpam-2022	263	3	+	+	NUM
ejpam-2022	263	4	be−σx[x	be−σx[x	VERB
ejpam-2022	263	5	sinσy	sinσy	NOUN
ejpam-2022	263	6	−	−	PROPN
ejpam-2022	263	7	y	y	PROPN
ejpam-2022	263	8	cosσy	cosσy	NOUN
ejpam-2022	263	9	]	]	PUNCT
ejpam-2022	264	1	+	+	CCONJ
ejpam-2022	264	2	ae−r	ae−r	ADJ
ejpam-2022	264	3	x	x	SYM
ejpam-2022	264	4	sin	sin	NOUN
ejpam-2022	264	5	r	r	NOUN
ejpam-2022	264	6	y	y	NOUN
ejpam-2022	264	7	=	=	SYM
ejpam-2022	264	8	0	0	PROPN
ejpam-2022	264	9	.	.	PUNCT
ejpam-2022	265	1	(	(	PUNCT
ejpam-2022	265	2	a5	a5	PROPN
ejpam-2022	265	3	)	)	PUNCT
ejpam-2022	265	4	references	reference	NOUN
ejpam-2022	265	5	165	165	NUM
ejpam-2022	265	6	since	since	SCONJ
ejpam-2022	265	7	γ2(x	γ2(x	PROPN
ejpam-2022	265	8	,	,	PUNCT
ejpam-2022	265	9	y	y	PROPN
ejpam-2022	265	10	)	)	PUNCT
ejpam-2022	265	11	>	>	X
ejpam-2022	265	12	y(2x−	y(2x−	PROPN
ejpam-2022	265	13	b	b	X
ejpam-2022	265	14	)	)	PUNCT
ejpam-2022	265	15	e	e	X
ejpam-2022	265	16	2x	2x	NUM
ejpam-2022	265	17	>	>	X
ejpam-2022	265	18	b	b	X
ejpam-2022	265	19	,	,	PUNCT
ejpam-2022	265	20	there	there	PRON
ejpam-2022	265	21	is	be	VERB
ejpam-2022	265	22	no	no	DET
ejpam-2022	265	23	solution	solution	NOUN
ejpam-2022	265	24	of	of	ADP
ejpam-2022	265	25	equation	equation	NOUN
ejpam-2022	265	26	a5	a5	VERB
ejpam-2022	265	27	for	for	ADP
ejpam-2022	265	28	(	(	PUNCT
ejpam-2022	265	29	x	x	INTJ
ejpam-2022	265	30	,	,	PUNCT
ejpam-2022	265	31	y	y	PROPN
ejpam-2022	265	32	)	)	PUNCT
ejpam-2022	265	33	belongs	belong	VERB
ejpam-2022	265	34	to	to	ADP
ejpam-2022	265	35	s1	s1	NOUN
ejpam-2022	265	36	.	.	PUNCT
ejpam-2022	266	1	it	it	PRON
ejpam-2022	266	2	is	be	AUX
ejpam-2022	266	3	easy	easy	ADJ
ejpam-2022	266	4	to	to	PART
ejpam-2022	266	5	see	see	VERB
ejpam-2022	266	6	that	that	SCONJ
ejpam-2022	266	7	x	x	PRON
ejpam-2022	266	8	sinσy	sinσy	PROPN
ejpam-2022	266	9	−	−	PROPN
ejpam-2022	266	10	y	y	PROPN
ejpam-2022	266	11	cosσy	cosσy	NOUN
ejpam-2022	266	12	≥	≥	PROPN
ejpam-2022	266	13	0	0	NUM
ejpam-2022	266	14	for	for	ADP
ejpam-2022	266	15	(	(	PUNCT
ejpam-2022	266	16	x	x	INTJ
ejpam-2022	266	17	,	,	PUNCT
ejpam-2022	266	18	y	y	PROPN
ejpam-2022	266	19	)	)	PUNCT
ejpam-2022	266	20	∈	∈	PROPN
ejpam-2022	266	21	s2	s2	PROPN
ejpam-2022	266	22	.	.	PUNCT
ejpam-2022	267	1	moreover	moreover	ADV
ejpam-2022	267	2	,	,	PUNCT
ejpam-2022	267	3	for	for	ADP
ejpam-2022	267	4	all	all	DET
ejpam-2022	267	5	(	(	PUNCT
ejpam-2022	267	6	x	x	INTJ
ejpam-2022	267	7	,	,	PUNCT
ejpam-2022	267	8	y	y	PROPN
ejpam-2022	267	9	)	)	PUNCT
ejpam-2022	267	10	∈	∈	PROPN
ejpam-2022	267	11	s2	s2	PROPN
ejpam-2022	267	12	,	,	PUNCT
ejpam-2022	267	13	we	we	PRON
ejpam-2022	267	14	have	have	VERB
ejpam-2022	267	15	γ2(x	γ2(x	X
ejpam-2022	267	16	,	,	PUNCT
ejpam-2022	267	17	y	y	PROPN
ejpam-2022	267	18	)	)	PUNCT
ejpam-2022	267	19	≥	≥	NOUN
ejpam-2022	267	20	2x	2x	NUM
ejpam-2022	267	21	y	y	NOUN
ejpam-2022	267	22	−	−	PROPN
ejpam-2022	268	1	d	d	X
ejpam-2022	268	2	y	y	PROPN
ejpam-2022	268	3	+	+	CCONJ
ejpam-2022	268	4	ae−r	ae−r	ADJ
ejpam-2022	268	5	x	x	SYM
ejpam-2022	268	6	sin	sin	NOUN
ejpam-2022	268	7	r	r	NOUN
ejpam-2022	268	8	y	y	PROPN
ejpam-2022	268	9	>	>	X
ejpam-2022	268	10	0	0	PROPN
ejpam-2022	268	11	.	.	PUNCT
ejpam-2022	269	1	thus	thus	ADV
ejpam-2022	269	2	,	,	PUNCT
ejpam-2022	269	3	there	there	PRON
ejpam-2022	269	4	is	be	VERB
ejpam-2022	269	5	no	no	DET
ejpam-2022	269	6	solution	solution	NOUN
ejpam-2022	269	7	of	of	ADP
ejpam-2022	269	8	(	(	PUNCT
ejpam-2022	269	9	a3	a3	NOUN
ejpam-2022	269	10	)	)	PUNCT
ejpam-2022	269	11	that	that	PRON
ejpam-2022	269	12	belongs	belong	VERB
ejpam-2022	269	13	to	to	PART
ejpam-2022	269	14	s2	s2	VERB
ejpam-2022	269	15	.	.	PUNCT
ejpam-2022	270	1	let	let	AUX
ejpam-2022	270	2	consider	consider	VERB
ejpam-2022	270	3	(	(	PUNCT
ejpam-2022	270	4	x	x	NOUN
ejpam-2022	270	5	,	,	PUNCT
ejpam-2022	270	6	y	y	PROPN
ejpam-2022	270	7	)	)	PUNCT
ejpam-2022	270	8	∈	∈	PROPN
ejpam-2022	270	9	s3	s3	PROPN
ejpam-2022	270	10	,	,	PUNCT
ejpam-2022	270	11	then	then	ADV
ejpam-2022	270	12	γ2(x	γ2(x	X
ejpam-2022	270	13	,	,	PUNCT
ejpam-2022	271	1	y)≥	y)≥	PROPN
ejpam-2022	272	1	2x	2x	NUM
ejpam-2022	272	2	y−d	y−d	PROPN
ejpam-2022	272	3	y	y	NOUN
ejpam-2022	272	4	which	which	PRON
ejpam-2022	272	5	is	be	AUX
ejpam-2022	272	6	positive	positive	ADJ
ejpam-2022	273	1	because	because	SCONJ
ejpam-2022	273	2	d	d	X
ejpam-2022	273	3	<	<	X
ejpam-2022	273	4	0	0	NUM
ejpam-2022	273	5	.	.	PUNCT
ejpam-2022	274	1	hence	hence	ADV
ejpam-2022	274	2	,	,	PUNCT
ejpam-2022	274	3	there	there	PRON
ejpam-2022	274	4	is	be	VERB
ejpam-2022	274	5	no	no	DET
ejpam-2022	274	6	solution	solution	NOUN
ejpam-2022	274	7	of	of	ADP
ejpam-2022	274	8	(	(	PUNCT
ejpam-2022	274	9	a3	a3	NOUN
ejpam-2022	274	10	)	)	PUNCT
ejpam-2022	274	11	that	that	PRON
ejpam-2022	274	12	belongs	belong	VERB
ejpam-2022	274	13	to	to	ADP
ejpam-2022	274	14	s3	s3	PROPN
ejpam-2022	274	15	.	.	PUNCT
ejpam-2022	275	1	for	for	ADP
ejpam-2022	275	2	each	each	DET
ejpam-2022	275	3	(	(	PUNCT
ejpam-2022	275	4	x	x	PROPN
ejpam-2022	275	5	,	,	PUNCT
ejpam-2022	275	6	y	y	PROPN
ejpam-2022	275	7	)	)	PUNCT
ejpam-2022	275	8	∈	∈	PROPN
ejpam-2022	275	9	s4	s4	PROPN
ejpam-2022	275	10	,	,	PUNCT
ejpam-2022	275	11	we	we	PRON
ejpam-2022	275	12	define	define	VERB
ejpam-2022	275	13	ζ2(x	ζ2(x	PROPN
ejpam-2022	275	14	,	,	PUNCT
ejpam-2022	275	15	y	y	PROPN
ejpam-2022	275	16	)	)	PUNCT
ejpam-2022	275	17	=	=	SYM
ejpam-2022	276	1	(	(	PUNCT
ejpam-2022	276	2	x	x	SYM
ejpam-2022	276	3	y)−1[x	y)−1[x	VERB
ejpam-2022	276	4	sin	sin	NOUN
ejpam-2022	276	5	yσ	yσ	PRON
ejpam-2022	276	6	−	−	PROPN
ejpam-2022	276	7	y	y	PROPN
ejpam-2022	276	8	cos	cos	PROPN
ejpam-2022	276	9	yσ	yσ	PROPN
ejpam-2022	276	10	]	]	PUNCT
ejpam-2022	276	11	.	.	PUNCT
ejpam-2022	277	1	we	we	PRON
ejpam-2022	277	2	can	can	AUX
ejpam-2022	277	3	check	check	VERB
ejpam-2022	277	4	directly	directly	ADV
ejpam-2022	277	5	that	that	SCONJ
ejpam-2022	277	6	yζ2(x	yζ2(x	PROPN
ejpam-2022	277	7	,	,	PUNCT
ejpam-2022	277	8	y	y	PROPN
ejpam-2022	277	9	)	)	PUNCT
ejpam-2022	277	10	≥	≥	PROPN
ejpam-2022	277	11	−2	−2	NOUN
ejpam-2022	277	12	and	and	CCONJ
ejpam-2022	277	13	y	y	PROPN
ejpam-2022	277	14	sin	sin	VERB
ejpam-2022	277	15	y	y	PROPN
ejpam-2022	277	16	r	r	NOUN
ejpam-2022	277	17	≥	≥	NOUN
ejpam-2022	277	18	−x	−x	NOUN
ejpam-2022	277	19	.	.	PUNCT
ejpam-2022	278	1	then	then	ADV
ejpam-2022	278	2	,	,	PUNCT
ejpam-2022	278	3	γ2(x	γ2(x	SYM
ejpam-2022	278	4	,	,	PUNCT
ejpam-2022	278	5	y	y	PROPN
ejpam-2022	278	6	)	)	PUNCT
ejpam-2022	278	7	>	>	X
ejpam-2022	278	8	(	(	PUNCT
ejpam-2022	278	9	x−1	x−1	PROPN
ejpam-2022	278	10	y−3)[2y2	y−3)[2y2	NOUN
ejpam-2022	279	1	−	−	PROPN
ejpam-2022	279	2	2b	2b	NUM
ejpam-2022	279	3	y	y	PROPN
ejpam-2022	279	4	−	−	PROPN
ejpam-2022	279	5	a	a	X
ejpam-2022	279	6	]	]	X
ejpam-2022	279	7	,	,	PUNCT
ejpam-2022	279	8	which	which	PRON
ejpam-2022	279	9	is	be	AUX
ejpam-2022	279	10	positive	positive	ADJ
ejpam-2022	279	11	if	if	SCONJ
ejpam-2022	279	12	y	y	PROPN
ejpam-2022	279	13	≥	≥	PROPN
ejpam-2022	279	14	x̄	x̄	NOUN
ejpam-2022	279	15	(	(	PUNCT
ejpam-2022	279	16	see	see	VERB
ejpam-2022	279	17	a1	a1	NOUN
ejpam-2022	279	18	)	)	PUNCT
ejpam-2022	279	19	,	,	PUNCT
ejpam-2022	279	20	whence	whence	X
ejpam-2022	279	21	(	(	PUNCT
ejpam-2022	279	22	a5	a5	PROPN
ejpam-2022	279	23	)	)	PUNCT
ejpam-2022	279	24	has	have	VERB
ejpam-2022	279	25	no	no	DET
ejpam-2022	279	26	solution	solution	NOUN
ejpam-2022	279	27	at	at	ADP
ejpam-2022	279	28	s4	s4	PROPN
ejpam-2022	279	29	.	.	PUNCT
ejpam-2022	280	1	let	let	VERB
ejpam-2022	280	2	(	(	PUNCT
ejpam-2022	280	3	x	x	X
ejpam-2022	280	4	,	,	PUNCT
ejpam-2022	280	5	y	y	PROPN
ejpam-2022	280	6	)	)	PUNCT
ejpam-2022	280	7	∈	∈	PROPN
ejpam-2022	280	8	s5	s5	PROPN
ejpam-2022	280	9	.	.	PUNCT
ejpam-2022	281	1	because	because	SCONJ
ejpam-2022	281	2	xζ2(x	xζ2(x	PROPN
ejpam-2022	281	3	,	,	PUNCT
ejpam-2022	281	4	y)≥	y)≥	PROPN
ejpam-2022	281	5	−2	−2	NOUN
ejpam-2022	281	6	and	and	CCONJ
ejpam-2022	281	7	(	(	PUNCT
ejpam-2022	281	8	x	x	X
ejpam-2022	281	9	y)−1	y)−1	NOUN
ejpam-2022	281	10	sin(y	sin(y	PROPN
ejpam-2022	281	11	r)≥	r)≥	PROPN
ejpam-2022	281	12	−x−2	−x−2	ADP
ejpam-2022	281	13	,	,	PUNCT
ejpam-2022	281	14	then	then	ADV
ejpam-2022	281	15	γ2(x	γ2(x	NUM
ejpam-2022	281	16	,	,	PUNCT
ejpam-2022	281	17	y	y	PROPN
ejpam-2022	281	18	)	)	PUNCT
ejpam-2022	281	19	>	>	X
ejpam-2022	282	1	(	(	PUNCT
ejpam-2022	282	2	x−3	x−3	PROPN
ejpam-2022	282	3	y−1)[2x2−2bx−a	y−1)[2x2−2bx−a	PROPN
ejpam-2022	282	4	]	]	PUNCT
ejpam-2022	282	5	that	that	PRON
ejpam-2022	282	6	is	be	AUX
ejpam-2022	282	7	positive	positive	ADJ
ejpam-2022	282	8	if	if	SCONJ
ejpam-2022	282	9	x	x	PROPN
ejpam-2022	282	10	≥	≥	X
ejpam-2022	282	11	x̄	x̄	NOUN
ejpam-2022	282	12	(	(	PUNCT
ejpam-2022	282	13	see	see	VERB
ejpam-2022	282	14	(	(	PUNCT
ejpam-2022	282	15	a1	a1	NOUN
ejpam-2022	282	16	)	)	PUNCT
ejpam-2022	282	17	)	)	PUNCT
ejpam-2022	283	1	and	and	CCONJ
ejpam-2022	283	2	so	so	ADV
ejpam-2022	283	3	,	,	PUNCT
ejpam-2022	283	4	has	have	VERB
ejpam-2022	283	5	no	no	DET
ejpam-2022	283	6	solution	solution	NOUN
ejpam-2022	283	7	into	into	ADP
ejpam-2022	283	8	s5	s5	PROPN
ejpam-2022	283	9	.	.	PUNCT
ejpam-2022	284	1	we	we	PRON
ejpam-2022	284	2	assume	assume	VERB
ejpam-2022	284	3	(	(	PUNCT
ejpam-2022	284	4	x	x	INTJ
ejpam-2022	284	5	,	,	PUNCT
ejpam-2022	284	6	y	y	PROPN
ejpam-2022	284	7	)	)	PUNCT
ejpam-2022	284	8	∈	∈	PROPN
ejpam-2022	284	9	s6	s6	PROPN
ejpam-2022	284	10	,	,	PUNCT
ejpam-2022	284	11	since	since	SCONJ
ejpam-2022	284	12	x	x	PROPN
ejpam-2022	284	13	y	y	PROPN
ejpam-2022	284	14	≥	≥	NUM
ejpam-2022	284	15	x2	x2	INTJ
ejpam-2022	284	16	and	and	CCONJ
ejpam-2022	284	17	−b	−b	VERB
ejpam-2022	284	18	y	y	NOUN
ejpam-2022	284	19	p	p	NOUN
ejpam-2022	284	20	2	2	NUM
ejpam-2022	284	21	2	2	NUM
ejpam-2022	284	22	<	<	X
ejpam-2022	284	23	−b	−b	NOUN
ejpam-2022	284	24	ye−σx	ye−σx	PROPN
ejpam-2022	284	25	cosσy	cosσy	PROPN
ejpam-2022	284	26	,	,	PUNCT
ejpam-2022	284	27	σγ2(x	σγ2(x	PROPN
ejpam-2022	284	28	,	,	PUNCT
ejpam-2022	284	29	y	y	PROPN
ejpam-2022	284	30	)	)	PUNCT
ejpam-2022	284	31	>	>	X
ejpam-2022	284	32	2x2σ−	2x2σ−	NUM
ejpam-2022	284	33	π4	π4	NOUN
ejpam-2022	284	34	(	(	PUNCT
ejpam-2022	284	35	d+	d+	PROPN
ejpam-2022	284	36	b	b	X
ejpam-2022	284	37	p	p	NOUN
ejpam-2022	284	38	2	2	NUM
ejpam-2022	284	39	)	)	PUNCT
ejpam-2022	284	40	is	be	AUX
ejpam-2022	284	41	positive	positive	ADJ
ejpam-2022	284	42	if	if	SCONJ
ejpam-2022	284	43	d	d	X
ejpam-2022	284	44	<	<	X
ejpam-2022	284	45	−b	−b	ADP
ejpam-2022	284	46	p	p	ADJ
ejpam-2022	284	47	2	2	NUM
ejpam-2022	284	48	(	(	PUNCT
ejpam-2022	284	49	see	see	VERB
ejpam-2022	284	50	(	(	PUNCT
ejpam-2022	284	51	1	1	NUM
ejpam-2022	284	52	)	)	PUNCT
ejpam-2022	284	53	)	)	PUNCT
ejpam-2022	284	54	.	.	PUNCT
ejpam-2022	285	1	hence	hence	ADV
ejpam-2022	285	2	,	,	PUNCT
ejpam-2022	285	3	there	there	PRON
ejpam-2022	285	4	is	be	VERB
ejpam-2022	285	5	no	no	DET
ejpam-2022	285	6	solution	solution	NOUN
ejpam-2022	285	7	of	of	ADP
ejpam-2022	285	8	(	(	PUNCT
ejpam-2022	285	9	a3	a3	NOUN
ejpam-2022	285	10	)	)	PUNCT
ejpam-2022	285	11	that	that	PRON
ejpam-2022	285	12	belongs	belong	VERB
ejpam-2022	285	13	to	to	ADP
ejpam-2022	285	14	s6	s6	PROPN
ejpam-2022	285	15	.	.	PUNCT
ejpam-2022	286	1	finally	finally	ADV
ejpam-2022	286	2	,	,	PUNCT
ejpam-2022	286	3	the	the	DET
ejpam-2022	286	4	system	system	NOUN
ejpam-2022	286	5	(	(	PUNCT
ejpam-2022	286	6	4	4	X
ejpam-2022	286	7	)	)	PUNCT
ejpam-2022	286	8	has	have	VERB
ejpam-2022	286	9	no	no	DET
ejpam-2022	286	10	purely	purely	ADV
ejpam-2022	286	11	imaginary	imaginary	ADJ
ejpam-2022	286	12	solution	solution	NOUN
ejpam-2022	286	13	.	.	PUNCT
ejpam-2022	287	1	if	if	SCONJ
ejpam-2022	287	2	the	the	DET
ejpam-2022	287	3	roots	root	NOUN
ejpam-2022	287	4	of	of	ADP
ejpam-2022	287	5	the	the	DET
ejpam-2022	287	6	system	system	NOUN
ejpam-2022	287	7	(	(	PUNCT
ejpam-2022	287	8	4	4	NUM
ejpam-2022	287	9	)	)	PUNCT
ejpam-2022	287	10	with	with	ADP
ejpam-2022	287	11	null	null	ADJ
ejpam-2022	287	12	real	real	ADJ
ejpam-2022	287	13	part	part	NOUN
ejpam-2022	287	14	exist	exist	VERB
ejpam-2022	287	15	,	,	PUNCT
ejpam-2022	287	16	they	they	PRON
ejpam-2022	287	17	must	must	AUX
ejpam-2022	287	18	be	be	AUX
ejpam-2022	287	19	roots	root	NOUN
ejpam-2022	287	20	of	of	ADP
ejpam-2022	287	21	the	the	DET
ejpam-2022	287	22	system	system	NOUN
ejpam-2022	287	23	(	(	PUNCT
ejpam-2022	287	24	5	5	X
ejpam-2022	287	25	)	)	PUNCT
ejpam-2022	287	26	we	we	PRON
ejpam-2022	287	27	suppose	suppose	VERB
ejpam-2022	287	28	y	y	PROPN
ejpam-2022	287	29	6=	6=	ADP
ejpam-2022	287	30	0	0	NUM
ejpam-2022	287	31	is	be	AUX
ejpam-2022	287	32	a	a	DET
ejpam-2022	287	33	solution	solution	NOUN
ejpam-2022	287	34	of	of	ADP
ejpam-2022	287	35	(	(	PUNCT
ejpam-2022	287	36	5	5	NUM
ejpam-2022	287	37	)	)	PUNCT
ejpam-2022	287	38	,	,	PUNCT
ejpam-2022	287	39	then	then	ADV
ejpam-2022	287	40	we	we	PRON
ejpam-2022	287	41	must	must	AUX
ejpam-2022	287	42	have	have	AUX
ejpam-2022	287	43	sin(σy	sin(σy	VERB
ejpam-2022	287	44	−	−	PROPN
ejpam-2022	287	45	r	r	NOUN
ejpam-2022	287	46	y	y	NOUN
ejpam-2022	287	47	)	)	PUNCT
ejpam-2022	288	1	=	=	SYM
ejpam-2022	288	2	%	%	INTJ
ejpam-2022	288	3	(	(	PUNCT
ejpam-2022	288	4	y	y	NOUN
ejpam-2022	288	5	)	)	PUNCT
ejpam-2022	288	6	(	(	PUNCT
ejpam-2022	288	7	see	see	VERB
ejpam-2022	288	8	(	(	PUNCT
ejpam-2022	288	9	6	6	NUM
ejpam-2022	288	10	)	)	PUNCT
ejpam-2022	288	11	)	)	PUNCT
ejpam-2022	288	12	)	)	PUNCT
ejpam-2022	288	13	.	.	PUNCT
ejpam-2022	289	1	it	it	PRON
ejpam-2022	289	2	is	be	AUX
ejpam-2022	289	3	clear	clear	ADJ
ejpam-2022	289	4	that	that	SCONJ
ejpam-2022	289	5	%	%	INTJ
ejpam-2022	289	6	(	(	PUNCT
ejpam-2022	289	7	y	y	NOUN
ejpam-2022	289	8	)	)	PUNCT
ejpam-2022	289	9	=	=	SYM
ejpam-2022	290	1	−%(−y	−%(−y	NOUN
ejpam-2022	290	2	)	)	PUNCT
ejpam-2022	290	3	,	,	PUNCT
ejpam-2022	290	4	thus	thus	ADV
ejpam-2022	290	5	we	we	PRON
ejpam-2022	290	6	will	will	AUX
ejpam-2022	290	7	consider	consider	VERB
ejpam-2022	290	8	only	only	ADV
ejpam-2022	290	9	y	y	PROPN
ejpam-2022	290	10	>	>	X
ejpam-2022	290	11	0	0	PROPN
ejpam-2022	290	12	.	.	PUNCT
ejpam-2022	291	1	a	a	DET
ejpam-2022	291	2	direct	direct	ADJ
ejpam-2022	291	3	calculation	calculation	NOUN
ejpam-2022	291	4	shows	show	VERB
ejpam-2022	291	5	that	that	SCONJ
ejpam-2022	291	6	2ba	2ba	ADJ
ejpam-2022	291	7	y2%̇(y	y2%̇(y	NOUN
ejpam-2022	291	8	)	)	PUNCT
ejpam-2022	291	9	=	=	SYM
ejpam-2022	291	10	3y4	3y4	NUM
ejpam-2022	291	11	+	+	CCONJ
ejpam-2022	291	12	(	(	PUNCT
ejpam-2022	291	13	d2	d2	PROPN
ejpam-2022	291	14	−	−	PROPN
ejpam-2022	291	15	b2	b2	NOUN
ejpam-2022	291	16	−	−	PROPN
ejpam-2022	291	17	2c)y2	2c)y2	NUM
ejpam-2022	291	18	−	−	PROPN
ejpam-2022	292	1	(	(	PUNCT
ejpam-2022	292	2	c2	c2	PROPN
ejpam-2022	292	3	−	−	PROPN
ejpam-2022	292	4	a2	a2	PROPN
ejpam-2022	292	5	)	)	PUNCT
ejpam-2022	292	6	and	and	CCONJ
ejpam-2022	292	7	that	that	SCONJ
ejpam-2022	292	8	y0	y0	PROPN
ejpam-2022	292	9	=	=	SYM
ejpam-2022	292	10	�	�	PROPN
ejpam-2022	292	11	p	p	X
ejpam-2022	293	1	[	[	X
ejpam-2022	293	2	d2	d2	PROPN
ejpam-2022	293	3	−	−	PROPN
ejpam-2022	293	4	(	(	PUNCT
ejpam-2022	293	5	2c	2c	NUM
ejpam-2022	293	6	+	+	CCONJ
ejpam-2022	293	7	b2)]2	b2)]2	NOUN
ejpam-2022	293	8	+	+	CCONJ
ejpam-2022	293	9	12(c2	12(c2	NUM
ejpam-2022	293	10	−	−	PUNCT
ejpam-2022	293	11	a2)−	a2)−	PROPN
ejpam-2022	293	12	[	[	PUNCT
ejpam-2022	293	13	d2	d2	NOUN
ejpam-2022	293	14	−	−	PROPN
ejpam-2022	293	15	(	(	PUNCT
ejpam-2022	293	16	2c	2c	NOUN
ejpam-2022	293	17	+	+	CCONJ
ejpam-2022	293	18	b2	b2	NOUN
ejpam-2022	293	19	)	)	PUNCT
ejpam-2022	293	20	]	]	PUNCT
ejpam-2022	293	21	6	6	NUM
ejpam-2022	293	22	�	�	PROPN
ejpam-2022	293	23	1	1	NUM
ejpam-2022	293	24	2	2	NUM
ejpam-2022	293	25	,	,	PUNCT
ejpam-2022	293	26	(	(	PUNCT
ejpam-2022	293	27	a6	a6	NOUN
ejpam-2022	293	28	)	)	PUNCT
ejpam-2022	293	29	is	be	AUX
ejpam-2022	293	30	a	a	DET
ejpam-2022	293	31	global	global	ADJ
ejpam-2022	293	32	minimum	minimum	NOUN
ejpam-2022	293	33	point	point	NOUN
ejpam-2022	293	34	of	of	ADP
ejpam-2022	293	35	%	%	NOUN
ejpam-2022	293	36	on	on	ADP
ejpam-2022	293	37	the	the	DET
ejpam-2022	293	38	interval	interval	NOUN
ejpam-2022	293	39	(	(	PUNCT
ejpam-2022	293	40	0,∞	0,∞	NUM
ejpam-2022	293	41	)	)	PUNCT
ejpam-2022	293	42	.	.	PUNCT
ejpam-2022	294	1	since	since	SCONJ
ejpam-2022	294	2	ab	ab	PROPN
ejpam-2022	294	3	y2%̇(y	y2%̇(y	NOUN
ejpam-2022	294	4	)	)	PUNCT
ejpam-2022	294	5	=	=	PROPN
ejpam-2022	294	6	ab	ab	PROPN
ejpam-2022	294	7	y%(y	y%(y	PROPN
ejpam-2022	294	8	)	)	PUNCT
ejpam-2022	295	1	+	+	CCONJ
ejpam-2022	295	2	y4	y4	PROPN
ejpam-2022	295	3	−	−	PROPN
ejpam-2022	295	4	(	(	PUNCT
ejpam-2022	295	5	c2	c2	PROPN
ejpam-2022	295	6	−	−	PROPN
ejpam-2022	295	7	a2	a2	PROPN
ejpam-2022	295	8	)	)	PUNCT
ejpam-2022	295	9	,	,	PUNCT
ejpam-2022	295	10	then	then	ADV
ejpam-2022	295	11	y4	y4	PROPN
ejpam-2022	295	12	0	0	NUM
ejpam-2022	296	1	=	=	SYM
ejpam-2022	296	2	(	(	PUNCT
ejpam-2022	296	3	−d2	−d2	NOUN
ejpam-2022	296	4	y2	y2	NOUN
ejpam-2022	296	5	0	0	NUM
ejpam-2022	296	6	+	+	NUM
ejpam-2022	296	7	b2	b2	NOUN
ejpam-2022	296	8	y2	y2	NOUN
ejpam-2022	296	9	0	0	NUM
ejpam-2022	296	10	+2c	+2c	NUM
ejpam-2022	296	11	y2	y2	NOUN
ejpam-2022	296	12	0	0	PUNCT
ejpam-2022	296	13	−a2	−a2	NOUN
ejpam-2022	296	14	+	+	NOUN
ejpam-2022	296	15	c2)/3	c2)/3	NOUN
ejpam-2022	296	16	and	and	CCONJ
ejpam-2022	296	17	3ab	3ab	ADJ
ejpam-2022	296	18	y0%(y0	y0%(y0	NOUN
ejpam-2022	296	19	)	)	PUNCT
ejpam-2022	296	20	=	=	PUNCT
ejpam-2022	297	1	2(c2−a2)+(d2−2c−	2(c2−a2)+(d2−2c−	NOUN
ejpam-2022	297	2	b2)y2	b2)y2	NOUN
ejpam-2022	297	3	0	0	NUM
ejpam-2022	297	4	,	,	PUNCT
ejpam-2022	297	5	the	the	DET
ejpam-2022	297	6	inequality	inequality	NOUN
ejpam-2022	297	7	of	of	ADP
ejpam-2022	297	8	(	(	PUNCT
ejpam-2022	297	9	3	3	NUM
ejpam-2022	297	10	)	)	PUNCT
ejpam-2022	297	11	and	and	CCONJ
ejpam-2022	297	12	the	the	DET
ejpam-2022	297	13	first	first	ADJ
ejpam-2022	297	14	inequality	inequality	NOUN
ejpam-2022	297	15	in	in	ADP
ejpam-2022	297	16	(	(	PUNCT
ejpam-2022	297	17	1	1	NUM
ejpam-2022	297	18	)	)	PUNCT
ejpam-2022	297	19	implies	imply	VERB
ejpam-2022	297	20	that	that	SCONJ
ejpam-2022	297	21	%	%	INTJ
ejpam-2022	297	22	(	(	PUNCT
ejpam-2022	297	23	y0	y0	NOUN
ejpam-2022	297	24	)	)	PUNCT
ejpam-2022	297	25	>	>	X
ejpam-2022	298	1	1	1	X
ejpam-2022	298	2	.	.	PUNCT
ejpam-2022	298	3	therefore	therefore	ADV
ejpam-2022	298	4	,	,	PUNCT
ejpam-2022	298	5	(	(	PUNCT
ejpam-2022	298	6	3	3	X
ejpam-2022	298	7	)	)	PUNCT
ejpam-2022	298	8	has	have	VERB
ejpam-2022	298	9	no	no	DET
ejpam-2022	298	10	purely	purely	ADV
ejpam-2022	298	11	real	real	ADJ
ejpam-2022	298	12	root	root	NOUN
ejpam-2022	298	13	on	on	ADP
ejpam-2022	298	14	the	the	DET
ejpam-2022	298	15	right	right	ADJ
ejpam-2022	298	16	half	half	NOUN
ejpam-2022	298	17	complex	complex	ADJ
ejpam-2022	298	18	plane	plane	NOUN
ejpam-2022	298	19	.	.	PUNCT
ejpam-2022	299	1	by	by	ADP
ejpam-2022	299	2	general	general	ADJ
ejpam-2022	299	3	arguments	argument	NOUN
ejpam-2022	299	4	on	on	ADP
ejpam-2022	299	5	the	the	DET
ejpam-2022	299	6	compacity	compacity	NOUN
ejpam-2022	299	7	of	of	ADP
ejpam-2022	299	8	the	the	DET
ejpam-2022	299	9	interval	interval	NOUN
ejpam-2022	299	10	[	[	X
ejpam-2022	299	11	0	0	NUM
ejpam-2022	299	12	,	,	PUNCT
ejpam-2022	299	13	π4	π4	NOUN
ejpam-2022	299	14	]	]	PUNCT
ejpam-2022	299	15	and	and	CCONJ
ejpam-2022	299	16	the	the	DET
ejpam-2022	299	17	continuity	continuity	NOUN
ejpam-2022	299	18	of	of	ADP
ejpam-2022	299	19	%	%	NOUN
ejpam-2022	299	20	,	,	PUNCT
ejpam-2022	299	21	we	we	PRON
ejpam-2022	299	22	arrive	arrive	VERB
ejpam-2022	299	23	at	at	ADP
ejpam-2022	299	24	the	the	DET
ejpam-2022	299	25	existence	existence	NOUN
ejpam-2022	299	26	of	of	ADP
ejpam-2022	299	27	a	a	DET
ejpam-2022	299	28	ε0	ε0	PROPN
ejpam-2022	299	29	>	>	X
ejpam-2022	299	30	0	0	PUNCT
ejpam-2022	300	1	so	so	SCONJ
ejpam-2022	300	2	that	that	DET
ejpam-2022	300	3	system	system	NOUN
ejpam-2022	300	4	(	(	PUNCT
ejpam-2022	300	5	4	4	X
ejpam-2022	300	6	)	)	PUNCT
ejpam-2022	300	7	has	have	VERB
ejpam-2022	300	8	no	no	DET
ejpam-2022	300	9	solution	solution	NOUN
ejpam-2022	300	10	belonging	belong	VERB
ejpam-2022	300	11	to	to	ADP
ejpam-2022	300	12	sε0	sε0	NOUN
ejpam-2022	300	13	=	=	SYM
ejpam-2022	300	14	{	{	PUNCT
ejpam-2022	300	15	(	(	PUNCT
ejpam-2022	300	16	x	x	INTJ
ejpam-2022	300	17	,	,	PUNCT
ejpam-2022	300	18	y	y	PROPN
ejpam-2022	300	19	)	)	PUNCT
ejpam-2022	300	20	∈	∈	PROPN
ejpam-2022	300	21	r2	r2	NOUN
ejpam-2022	300	22	:	:	PUNCT
ejpam-2022	300	23	0	0	NUM
ejpam-2022	300	24	≤	≤	NUM
ejpam-2022	300	25	x	x	PUNCT
ejpam-2022	300	26	<	<	X
ejpam-2022	300	27	ε0	ε0	PROPN
ejpam-2022	300	28	,	,	PUNCT
ejpam-2022	300	29	0	0	NUM
ejpam-2022	300	30	≤	≤	NUM
ejpam-2022	300	31	4σy	4σy	NOUN
ejpam-2022	300	32	≤	≤	PROPN
ejpam-2022	301	1	π	π	X
ejpam-2022	301	2	}	}	PUNCT
ejpam-2022	301	3	.	.	PUNCT
ejpam-2022	302	1	if	if	SCONJ
ejpam-2022	302	2	r2	r2	PROPN
ejpam-2022	302	3	+	+	CCONJ
ejpam-2022	302	4	=	=	SYM
ejpam-2022	302	5	{	{	PUNCT
ejpam-2022	302	6	(	(	PUNCT
ejpam-2022	302	7	x	x	INTJ
ejpam-2022	302	8	,	,	PUNCT
ejpam-2022	302	9	y	y	PROPN
ejpam-2022	302	10	)	)	PUNCT
ejpam-2022	302	11	∈	∈	PROPN
ejpam-2022	302	12	r2	r2	NOUN
ejpam-2022	302	13	,	,	PUNCT
ejpam-2022	302	14	x	x	X
ejpam-2022	302	15	>	>	X
ejpam-2022	302	16	0	0	PROPN
ejpam-2022	302	17	,	,	PUNCT
ejpam-2022	302	18	y	y	PROPN
ejpam-2022	302	19	>	>	X
ejpam-2022	302	20	0	0	NUM
ejpam-2022	302	21	}	}	PUNCT
ejpam-2022	302	22	,	,	PUNCT
ejpam-2022	302	23	the	the	DET
ejpam-2022	302	24	conditions	condition	NOUN
ejpam-2022	302	25	(	(	PUNCT
ejpam-2022	302	26	i	i	NOUN
ejpam-2022	302	27	)	)	PUNCT
ejpam-2022	302	28	,	,	PUNCT
ejpam-2022	302	29	(	(	PUNCT
ejpam-2022	302	30	ii	ii	NOUN
ejpam-2022	302	31	)	)	PUNCT
ejpam-2022	302	32	,	,	PUNCT
ejpam-2022	302	33	(	(	PUNCT
ejpam-2022	302	34	iii	iii	NOUN
ejpam-2022	302	35	)	)	PUNCT
ejpam-2022	302	36	and	and	CCONJ
ejpam-2022	302	37	x̄	x̄	NOUN
ejpam-2022	302	38	<	<	X
ejpam-2022	302	39	ε0	ε0	PROPN
ejpam-2022	302	40	imply	imply	VERB
ejpam-2022	302	41	that	that	SCONJ
ejpam-2022	302	42	r2	r2	PROPN
ejpam-2022	302	43	+	+	CCONJ
ejpam-2022	302	44	⊂	⊂	PROPN
ejpam-2022	302	45	s	s	PART
ejpam-2022	302	46	∪	∪	ADJ
ejpam-2022	302	47	sε0	sε0	NOUN
ejpam-2022	302	48	,	,	PUNCT
ejpam-2022	302	49	where	where	SCONJ
ejpam-2022	302	50	s	s	VERB
ejpam-2022	302	51	=	=	SYM
ejpam-2022	302	52	⋃6	⋃6	X
ejpam-2022	302	53	i=0si	i=0si	PROPN
ejpam-2022	302	54	(	(	PUNCT
ejpam-2022	302	55	see	see	VERB
ejpam-2022	302	56	(	(	PUNCT
ejpam-2022	302	57	a2	a2	PROPN
ejpam-2022	302	58	)	)	PUNCT
ejpam-2022	302	59	)	)	PUNCT
ejpam-2022	302	60	.	.	PUNCT
ejpam-2022	303	1	so	so	ADV
ejpam-2022	303	2	,	,	PUNCT
ejpam-2022	303	3	it	it	PRON
ejpam-2022	303	4	can	can	AUX
ejpam-2022	303	5	proven	proven	VERB
ejpam-2022	303	6	that	that	DET
ejpam-2022	303	7	system	system	NOUN
ejpam-2022	303	8	(	(	PUNCT
ejpam-2022	303	9	4	4	NUM
ejpam-2022	303	10	)	)	PUNCT
ejpam-2022	303	11	has	have	VERB
ejpam-2022	303	12	no	no	DET
ejpam-2022	303	13	solution	solution	NOUN
ejpam-2022	303	14	that	that	PRON
ejpam-2022	303	15	lies	lie	VERB
ejpam-2022	303	16	in	in	ADP
ejpam-2022	303	17	cl(r2	cl(r2	NOUN
ejpam-2022	303	18	+	+	NOUN
ejpam-2022	303	19	)	)	PUNCT
ejpam-2022	303	20	and	and	CCONJ
ejpam-2022	303	21	the	the	DET
ejpam-2022	303	22	proof	proof	NOUN
ejpam-2022	303	23	of	of	ADP
ejpam-2022	303	24	the	the	DET
ejpam-2022	303	25	theorem	theorem	NOUN
ejpam-2022	303	26	is	be	AUX
ejpam-2022	303	27	complete	complete	ADJ
ejpam-2022	303	28	.	.	PUNCT