id	sid	tid	token	lemma	pos
american_scientific_journal-3632	1	1	138	138	NUM
american_scientific_journal-3632	1	2	american	american	ADJ
american_scientific_journal-3632	1	3	scientific	scientific	ADJ
american_scientific_journal-3632	1	4	research	research	NOUN
american_scientific_journal-3632	1	5	journal	journal	NOUN
american_scientific_journal-3632	1	6	for	for	ADP
american_scientific_journal-3632	1	7	engineering	engineering	NOUN
american_scientific_journal-3632	1	8	,	,	PUNCT
american_scientific_journal-3632	1	9	technology	technology	NOUN
american_scientific_journal-3632	1	10	,	,	PUNCT
american_scientific_journal-3632	1	11	and	and	CCONJ
american_scientific_journal-3632	1	12	sciences	science	NOUN
american_scientific_journal-3632	1	13	(	(	PUNCT
american_scientific_journal-3632	1	14	asrjets	asrjet	NOUN
american_scientific_journal-3632	1	15	)	)	PUNCT
american_scientific_journal-3632	1	16	issn	issn	PROPN
american_scientific_journal-3632	1	17	(	(	PUNCT
american_scientific_journal-3632	1	18	print	print	NOUN
american_scientific_journal-3632	1	19	)	)	PUNCT
american_scientific_journal-3632	1	20	2313	2313	NUM
american_scientific_journal-3632	1	21	-	-	SYM
american_scientific_journal-3632	1	22	4410	4410	NUM
american_scientific_journal-3632	1	23	,	,	PUNCT
american_scientific_journal-3632	1	24	issn	issn	PROPN
american_scientific_journal-3632	1	25	(	(	PUNCT
american_scientific_journal-3632	1	26	online	online	ADJ
american_scientific_journal-3632	1	27	)	)	PUNCT
american_scientific_journal-3632	1	28	2313	2313	NUM
american_scientific_journal-3632	1	29	-	-	SYM
american_scientific_journal-3632	1	30	4402	4402	NUM
american_scientific_journal-3632	1	31	©	©	PROPN
american_scientific_journal-3632	1	32	global	global	ADJ
american_scientific_journal-3632	1	33	society	society	NOUN
american_scientific_journal-3632	1	34	of	of	ADP
american_scientific_journal-3632	1	35	scientific	scientific	ADJ
american_scientific_journal-3632	1	36	research	research	NOUN
american_scientific_journal-3632	1	37	and	and	CCONJ
american_scientific_journal-3632	1	38	researchers	researcher	NOUN
american_scientific_journal-3632	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	VERB
american_scientific_journal-3632	1	40	the	the	DET
american_scientific_journal-3632	1	41	interaction	interaction	NOUN
american_scientific_journal-3632	1	42	between	between	ADP
american_scientific_journal-3632	1	43	technical	technical	ADJ
american_scientific_journal-3632	1	44	change	change	NOUN
american_scientific_journal-3632	1	45	and	and	CCONJ
american_scientific_journal-3632	1	46	capital	capital	NOUN
american_scientific_journal-3632	1	47	investment	investment	NOUN
american_scientific_journal-3632	1	48	growth	growth	NOUN
american_scientific_journal-3632	1	49	and	and	CCONJ
american_scientific_journal-3632	1	50	stability	stability	NOUN
american_scientific_journal-3632	1	51	of	of	ADP
american_scientific_journal-3632	1	52	r&d	r&d	NOUN
american_scientific_journal-3632	1	53	model	model	NOUN
american_scientific_journal-3632	1	54	hanen	hanen	PROPN
american_scientific_journal-3632	1	55	tekaa	tekaa	PROPN
american_scientific_journal-3632	1	56	*	*	PROPN
american_scientific_journal-3632	1	57	,	,	PUNCT
american_scientific_journal-3632	1	58	hatem	hatem	PROPN
american_scientific_journal-3632	1	59	mhennib	mhennib	PROPN
american_scientific_journal-3632	1	60	afsegt	afsegt	VERB
american_scientific_journal-3632	1	61	,	,	PUNCT
american_scientific_journal-3632	1	62	university	university	NOUN
american_scientific_journal-3632	1	63	of	of	ADP
american_scientific_journal-3632	1	64	tunis	tunis	PROPN
american_scientific_journal-3632	1	65	el	el	PROPN
american_scientific_journal-3632	1	66	manar	manar	PROPN
american_scientific_journal-3632	1	67	,	,	PUNCT
american_scientific_journal-3632	1	68	research	research	NOUN
american_scientific_journal-3632	1	69	laboratory	laboratory	NOUN
american_scientific_journal-3632	1	70	thema	thema	NOUN
american_scientific_journal-3632	1	71	,	,	PUNCT
american_scientific_journal-3632	1	72	tunisia	tunisia	NOUN
american_scientific_journal-3632	1	73	lecturer	lecturer	NOUN
american_scientific_journal-3632	1	74	,	,	PUNCT
american_scientific_journal-3632	1	75	imam	imam	PROPN
american_scientific_journal-3632	1	76	abdulrahman	abdulrahman	PROPN
american_scientific_journal-3632	1	77	bin	bin	PROPN
american_scientific_journal-3632	1	78	faisal	faisal	PROPN
american_scientific_journal-3632	1	79	university	university	PROPN
american_scientific_journal-3632	1	80	,	,	PUNCT
american_scientific_journal-3632	1	81	dammam	dammam	PROPN
american_scientific_journal-3632	1	82	,	,	PUNCT
american_scientific_journal-3632	1	83	saudi	saudi	PROPN
american_scientific_journal-3632	1	84	arabia	arabia	PROPN
american_scientific_journal-3632	1	85	besct	besct	PROPN
american_scientific_journal-3632	1	86	–	–	PUNCT
american_scientific_journal-3632	1	87	university	university	NOUN
american_scientific_journal-3632	1	88	of	of	ADP
american_scientific_journal-3632	1	89	manouba	manouba	PROPN
american_scientific_journal-3632	1	90	,	,	PUNCT
american_scientific_journal-3632	1	91	research	research	NOUN
american_scientific_journal-3632	1	92	laboratory	laboratory	NOUN
american_scientific_journal-3632	1	93	thema	thema	NOUN
american_scientific_journal-3632	1	94	,	,	PUNCT
american_scientific_journal-3632	1	95	tunisia	tunisia	NOUN
american_scientific_journal-3632	1	96	aemail	aemail	NOUN
american_scientific_journal-3632	1	97	:	:	PUNCT
american_scientific_journal-3632	1	98	hkteka@iau.edu.sa	hkteka@iau.edu.sa	PROPN
american_scientific_journal-3632	1	99	bemail	bemail	NOUN
american_scientific_journal-3632	1	100	:	:	PUNCT
american_scientific_journal-3632	1	101	hatem.mhenni@essect.rnu.tn	hatem.mhenni@essect.rnu.tn	PROPN
american_scientific_journal-3632	1	102	abstract	abstract	PROPN
american_scientific_journal-3632	1	103	faced	face	VERB
american_scientific_journal-3632	1	104	with	with	ADP
american_scientific_journal-3632	1	105	an	an	DET
american_scientific_journal-3632	1	106	ever	ever	ADV
american_scientific_journal-3632	1	107	-	-	PUNCT
american_scientific_journal-3632	1	108	changing	change	VERB
american_scientific_journal-3632	1	109	economic	economic	ADJ
american_scientific_journal-3632	1	110	environment	environment	NOUN
american_scientific_journal-3632	1	111	,	,	PUNCT
american_scientific_journal-3632	1	112	we	we	PRON
american_scientific_journal-3632	1	113	have	have	AUX
american_scientific_journal-3632	1	114	focused	focus	VERB
american_scientific_journal-3632	1	115	our	our	PRON
american_scientific_journal-3632	1	116	attention	attention	NOUN
american_scientific_journal-3632	1	117	on	on	ADP
american_scientific_journal-3632	1	118	the	the	DET
american_scientific_journal-3632	1	119	study	study	NOUN
american_scientific_journal-3632	1	120	of	of	ADP
american_scientific_journal-3632	1	121	the	the	DET
american_scientific_journal-3632	1	122	evolutionary	evolutionary	ADJ
american_scientific_journal-3632	1	123	relationship	relationship	NOUN
american_scientific_journal-3632	1	124	between	between	ADP
american_scientific_journal-3632	1	125	the	the	DET
american_scientific_journal-3632	1	126	main	main	ADJ
american_scientific_journal-3632	1	127	factors	factor	NOUN
american_scientific_journal-3632	1	128	of	of	ADP
american_scientific_journal-3632	1	129	production	production	NOUN
american_scientific_journal-3632	1	130	.	.	PUNCT
american_scientific_journal-3632	2	1	the	the	DET
american_scientific_journal-3632	2	2	originality	originality	NOUN
american_scientific_journal-3632	2	3	of	of	ADP
american_scientific_journal-3632	2	4	this	this	DET
american_scientific_journal-3632	2	5	work	work	NOUN
american_scientific_journal-3632	2	6	comes	come	VERB
american_scientific_journal-3632	2	7	from	from	ADP
american_scientific_journal-3632	2	8	a	a	DET
american_scientific_journal-3632	2	9	qualitative	qualitative	ADJ
american_scientific_journal-3632	2	10	and	and	CCONJ
american_scientific_journal-3632	2	11	quantitative	quantitative	ADJ
american_scientific_journal-3632	2	12	analysis	analysis	NOUN
american_scientific_journal-3632	2	13	of	of	ADP
american_scientific_journal-3632	2	14	the	the	DET
american_scientific_journal-3632	2	15	r&d	r&d	NOUN
american_scientific_journal-3632	2	16	model	model	NOUN
american_scientific_journal-3632	2	17	and	and	CCONJ
american_scientific_journal-3632	2	18	considers	consider	VERB
american_scientific_journal-3632	2	19	the	the	DET
american_scientific_journal-3632	2	20	dynamic	dynamic	NOUN
american_scientific_journal-3632	2	21	between	between	ADP
american_scientific_journal-3632	2	22	labor	labor	NOUN
american_scientific_journal-3632	2	23	,	,	PUNCT
american_scientific_journal-3632	2	24	capital	capital	NOUN
american_scientific_journal-3632	2	25	investment	investment	NOUN
american_scientific_journal-3632	2	26	and	and	CCONJ
american_scientific_journal-3632	2	27	technological	technological	ADJ
american_scientific_journal-3632	2	28	progress	progress	NOUN
american_scientific_journal-3632	2	29	.	.	PUNCT
american_scientific_journal-3632	3	1	to	to	PART
american_scientific_journal-3632	3	2	understand	understand	VERB
american_scientific_journal-3632	3	3	the	the	DET
american_scientific_journal-3632	3	4	dynamics	dynamic	NOUN
american_scientific_journal-3632	3	5	of	of	ADP
american_scientific_journal-3632	3	6	the	the	DET
american_scientific_journal-3632	3	7	relationship	relationship	NOUN
american_scientific_journal-3632	3	8	between	between	ADP
american_scientific_journal-3632	3	9	these	these	DET
american_scientific_journal-3632	3	10	variables	variable	NOUN
american_scientific_journal-3632	3	11	in	in	ADP
american_scientific_journal-3632	3	12	detail	detail	NOUN
american_scientific_journal-3632	3	13	and	and	CCONJ
american_scientific_journal-3632	3	14	to	to	PART
american_scientific_journal-3632	3	15	understand	understand	VERB
american_scientific_journal-3632	3	16	their	their	PRON
american_scientific_journal-3632	3	17	long	long	ADJ
american_scientific_journal-3632	3	18	-	-	PUNCT
american_scientific_journal-3632	3	19	term	term	NOUN
american_scientific_journal-3632	3	20	behavior	behavior	NOUN
american_scientific_journal-3632	3	21	,	,	PUNCT
american_scientific_journal-3632	3	22	we	we	PRON
american_scientific_journal-3632	3	23	have	have	AUX
american_scientific_journal-3632	3	24	used	use	VERB
american_scientific_journal-3632	3	25	the	the	DET
american_scientific_journal-3632	3	26	classical	classical	ADJ
american_scientific_journal-3632	3	27	properties	property	NOUN
american_scientific_journal-3632	3	28	of	of	ADP
american_scientific_journal-3632	3	29	lotka	lotka	PROPN
american_scientific_journal-3632	3	30	volterra	volterra	PROPN
american_scientific_journal-3632	3	31	’s	’s	PART
american_scientific_journal-3632	3	32	differential	differential	ADJ
american_scientific_journal-3632	3	33	equations	equation	NOUN
american_scientific_journal-3632	3	34	.	.	PUNCT
american_scientific_journal-3632	4	1	the	the	DET
american_scientific_journal-3632	4	2	results	result	NOUN
american_scientific_journal-3632	4	3	of	of	ADP
american_scientific_journal-3632	4	4	the	the	DET
american_scientific_journal-3632	4	5	lyapunov	lyapunov	ADJ
american_scientific_journal-3632	4	6	function	function	NOUN
american_scientific_journal-3632	4	7	which	which	PRON
american_scientific_journal-3632	4	8	we	we	PRON
american_scientific_journal-3632	4	9	introduced	introduce	VERB
american_scientific_journal-3632	4	10	have	have	AUX
american_scientific_journal-3632	4	11	proved	prove	VERB
american_scientific_journal-3632	4	12	that	that	SCONJ
american_scientific_journal-3632	4	13	the	the	DET
american_scientific_journal-3632	4	14	growth	growth	NOUN
american_scientific_journal-3632	4	15	rate	rate	NOUN
american_scientific_journal-3632	4	16	of	of	ADP
american_scientific_journal-3632	4	17	technological	technological	ADJ
american_scientific_journal-3632	4	18	progress	progress	NOUN
american_scientific_journal-3632	4	19	and	and	CCONJ
american_scientific_journal-3632	4	20	capital	capital	NOUN
american_scientific_journal-3632	4	21	accumulation	accumulation	NOUN
american_scientific_journal-3632	4	22	reach	reach	VERB
american_scientific_journal-3632	4	23	a	a	DET
american_scientific_journal-3632	4	24	stable	stable	ADJ
american_scientific_journal-3632	4	25	long	long	ADJ
american_scientific_journal-3632	4	26	-	-	PUNCT
american_scientific_journal-3632	4	27	term	term	NOUN
american_scientific_journal-3632	4	28	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	4	29	.	.	PUNCT
american_scientific_journal-3632	5	1	a	a	DET
american_scientific_journal-3632	5	2	numerical	numerical	ADJ
american_scientific_journal-3632	5	3	application	application	NOUN
american_scientific_journal-3632	5	4	was	be	AUX
american_scientific_journal-3632	5	5	carried	carry	VERB
american_scientific_journal-3632	5	6	out	out	ADP
american_scientific_journal-3632	5	7	on	on	ADP
american_scientific_journal-3632	5	8	canon	canon	NOUN
american_scientific_journal-3632	5	9	industry	industry	NOUN
american_scientific_journal-3632	5	10	and	and	CCONJ
american_scientific_journal-3632	5	11	proved	prove	VERB
american_scientific_journal-3632	5	12	an	an	DET
american_scientific_journal-3632	5	13	evolution	evolution	NOUN
american_scientific_journal-3632	5	14	in	in	ADP
american_scientific_journal-3632	5	15	the	the	DET
american_scientific_journal-3632	5	16	nature	nature	NOUN
american_scientific_journal-3632	5	17	of	of	ADP
american_scientific_journal-3632	5	18	the	the	DET
american_scientific_journal-3632	5	19	link	link	NOUN
american_scientific_journal-3632	5	20	between	between	ADP
american_scientific_journal-3632	5	21	capital	capital	NOUN
american_scientific_journal-3632	5	22	and	and	CCONJ
american_scientific_journal-3632	5	23	r&d	r&d	NOUN
american_scientific_journal-3632	5	24	investment	investment	NOUN
american_scientific_journal-3632	5	25	.	.	PUNCT
american_scientific_journal-3632	6	1	we	we	PRON
american_scientific_journal-3632	6	2	have	have	AUX
american_scientific_journal-3632	6	3	attributed	attribute	VERB
american_scientific_journal-3632	6	4	this	this	DET
american_scientific_journal-3632	6	5	behavioral	behavioral	ADJ
american_scientific_journal-3632	6	6	change	change	NOUN
american_scientific_journal-3632	6	7	to	to	ADP
american_scientific_journal-3632	6	8	the	the	DET
american_scientific_journal-3632	6	9	process	process	NOUN
american_scientific_journal-3632	6	10	of	of	ADP
american_scientific_journal-3632	6	11	learning	learn	VERB
american_scientific_journal-3632	6	12	through	through	ADP
american_scientific_journal-3632	6	13	interaction	interaction	NOUN
american_scientific_journal-3632	6	14	.	.	PUNCT
american_scientific_journal-3632	7	1	keywords	keyword	NOUN
american_scientific_journal-3632	7	2	:	:	PUNCT
american_scientific_journal-3632	7	3	r&d	r&d	NOUN
american_scientific_journal-3632	7	4	model	model	NOUN
american_scientific_journal-3632	7	5	;	;	PUNCT
american_scientific_journal-3632	7	6	lotka	lotka	PROPN
american_scientific_journal-3632	7	7	-	-	PUNCT
american_scientific_journal-3632	7	8	volterra	volterra	NOUN
american_scientific_journal-3632	7	9	system	system	NOUN
american_scientific_journal-3632	7	10	;	;	PUNCT
american_scientific_journal-3632	7	11	lyapunov	lyapunov	NOUN
american_scientific_journal-3632	7	12	function	function	NOUN
american_scientific_journal-3632	7	13	;	;	PUNCT
american_scientific_journal-3632	7	14	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	7	15	analysis	analysis	NOUN
american_scientific_journal-3632	7	16	.	.	PUNCT
american_scientific_journal-3632	8	1	1	1	X
american_scientific_journal-3632	8	2	.	.	X
american_scientific_journal-3632	8	3	introduction	introduction	NOUN
american_scientific_journal-3632	8	4	r&d	r&d	NOUN
american_scientific_journal-3632	8	5	investment	investment	NOUN
american_scientific_journal-3632	8	6	strategies	strategy	NOUN
american_scientific_journal-3632	8	7	are	be	AUX
american_scientific_journal-3632	8	8	,	,	PUNCT
american_scientific_journal-3632	8	9	by	by	ADP
american_scientific_journal-3632	8	10	nature	nature	NOUN
american_scientific_journal-3632	8	11	,	,	PUNCT
american_scientific_journal-3632	8	12	dependent	dependent	ADJ
american_scientific_journal-3632	8	13	on	on	ADP
american_scientific_journal-3632	8	14	many	many	ADJ
american_scientific_journal-3632	8	15	factors	factor	NOUN
american_scientific_journal-3632	8	16	which	which	PRON
american_scientific_journal-3632	8	17	often	often	ADV
american_scientific_journal-3632	8	18	makes	make	VERB
american_scientific_journal-3632	8	19	them	they	PRON
american_scientific_journal-3632	8	20	extremely	extremely	ADV
american_scientific_journal-3632	8	21	complex	complex	ADJ
american_scientific_journal-3632	8	22	.	.	PUNCT
american_scientific_journal-3632	9	1	the	the	DET
american_scientific_journal-3632	9	2	impact	impact	NOUN
american_scientific_journal-3632	9	3	of	of	ADP
american_scientific_journal-3632	9	4	these	these	DET
american_scientific_journal-3632	9	5	strategies	strategy	NOUN
american_scientific_journal-3632	9	6	is	be	AUX
american_scientific_journal-3632	9	7	not	not	PART
american_scientific_journal-3632	9	8	known	know	VERB
american_scientific_journal-3632	9	9	in	in	ADP
american_scientific_journal-3632	9	10	advance	advance	NOUN
american_scientific_journal-3632	9	11	and	and	CCONJ
american_scientific_journal-3632	9	12	is	be	AUX
american_scientific_journal-3632	9	13	difficult	difficult	ADJ
american_scientific_journal-3632	9	14	to	to	PART
american_scientific_journal-3632	9	15	predict	predict	VERB
american_scientific_journal-3632	9	16	which	which	PRON
american_scientific_journal-3632	9	17	makes	make	VERB
american_scientific_journal-3632	9	18	technological	technological	ADJ
american_scientific_journal-3632	9	19	evolution	evolution	NOUN
american_scientific_journal-3632	9	20	a	a	DET
american_scientific_journal-3632	9	21	very	very	ADV
american_scientific_journal-3632	9	22	difficult	difficult	ADJ
american_scientific_journal-3632	9	23	phenomenon	phenomenon	NOUN
american_scientific_journal-3632	9	24	to	to	PART
american_scientific_journal-3632	9	25	model	model	VERB
american_scientific_journal-3632	9	26	.	.	PUNCT
american_scientific_journal-3632	10	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-3632	11	1	*	*	PUNCT
american_scientific_journal-3632	11	2	corresponding	correspond	VERB
american_scientific_journal-3632	11	3	author	author	NOUN
american_scientific_journal-3632	11	4	.	.	PUNCT
american_scientific_journal-3632	12	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-3632	12	2	american	american	PROPN
american_scientific_journal-3632	12	3	scientific	scientific	PROPN
american_scientific_journal-3632	12	4	research	research	NOUN
american_scientific_journal-3632	12	5	journal	journal	NOUN
american_scientific_journal-3632	12	6	for	for	ADP
american_scientific_journal-3632	12	7	engineering	engineering	NOUN
american_scientific_journal-3632	12	8	,	,	PUNCT
american_scientific_journal-3632	12	9	technology	technology	NOUN
american_scientific_journal-3632	12	10	,	,	PUNCT
american_scientific_journal-3632	12	11	and	and	CCONJ
american_scientific_journal-3632	12	12	sciences	science	NOUN
american_scientific_journal-3632	12	13	(	(	PUNCT
american_scientific_journal-3632	12	14	asrjets	asrjet	NOUN
american_scientific_journal-3632	12	15	)	)	PUNCT
american_scientific_journal-3632	12	16	(	(	PUNCT
american_scientific_journal-3632	12	17	2018	2018	NUM
american_scientific_journal-3632	12	18	)	)	PUNCT
american_scientific_journal-3632	12	19	volume	volume	NOUN
american_scientific_journal-3632	12	20	39	39	NUM
american_scientific_journal-3632	12	21	,	,	PUNCT
american_scientific_journal-3632	12	22	no	no	DET
american_scientific_journal-3632	12	23	1	1	NUM
american_scientific_journal-3632	12	24	,	,	PUNCT
american_scientific_journal-3632	12	25	pp	pp	ADJ
american_scientific_journal-3632	12	26	138	138	NUM
american_scientific_journal-3632	12	27	-	-	SYM
american_scientific_journal-3632	12	28	158	158	NUM
american_scientific_journal-3632	12	29	139	139	NUM
american_scientific_journal-3632	12	30	in	in	ADP
american_scientific_journal-3632	12	31	this	this	DET
american_scientific_journal-3632	12	32	work	work	NOUN
american_scientific_journal-3632	12	33	,	,	PUNCT
american_scientific_journal-3632	12	34	we	we	PRON
american_scientific_journal-3632	12	35	will	will	AUX
american_scientific_journal-3632	12	36	use	use	VERB
american_scientific_journal-3632	12	37	the	the	DET
american_scientific_journal-3632	12	38	differential	differential	ADJ
american_scientific_journal-3632	12	39	equation	equation	NOUN
american_scientific_journal-3632	12	40	system	system	NOUN
american_scientific_journal-3632	12	41	to	to	PART
american_scientific_journal-3632	12	42	study	study	VERB
american_scientific_journal-3632	12	43	this	this	DET
american_scientific_journal-3632	12	44	type	type	NOUN
american_scientific_journal-3632	12	45	of	of	ADP
american_scientific_journal-3632	12	46	evolution	evolution	NOUN
american_scientific_journal-3632	12	47	using	use	VERB
american_scientific_journal-3632	12	48	an	an	DET
american_scientific_journal-3632	12	49	analysis	analysis	NOUN
american_scientific_journal-3632	12	50	of	of	ADP
american_scientific_journal-3632	12	51	the	the	DET
american_scientific_journal-3632	12	52	link	link	NOUN
american_scientific_journal-3632	12	53	existing	exist	VERB
american_scientific_journal-3632	12	54	between	between	ADP
american_scientific_journal-3632	12	55	the	the	DET
american_scientific_journal-3632	12	56	growth	growth	NOUN
american_scientific_journal-3632	12	57	rate	rate	NOUN
american_scientific_journal-3632	12	58	of	of	ADP
american_scientific_journal-3632	12	59	the	the	DET
american_scientific_journal-3632	12	60	main	main	ADJ
american_scientific_journal-3632	12	61	factors	factor	NOUN
american_scientific_journal-3632	12	62	of	of	ADP
american_scientific_journal-3632	12	63	production1	production1	PROPN
american_scientific_journal-3632	12	64	.	.	PUNCT
american_scientific_journal-3632	13	1	most	most	ADJ
american_scientific_journal-3632	13	2	previous	previous	ADJ
american_scientific_journal-3632	13	3	studies	study	NOUN
american_scientific_journal-3632	13	4	have	have	AUX
american_scientific_journal-3632	13	5	focused	focus	VERB
american_scientific_journal-3632	13	6	on	on	ADP
american_scientific_journal-3632	13	7	the	the	DET
american_scientific_journal-3632	13	8	interdependence	interdependence	NOUN
american_scientific_journal-3632	13	9	between	between	ADP
american_scientific_journal-3632	13	10	the	the	DET
american_scientific_journal-3632	13	11	various	various	ADJ
american_scientific_journal-3632	13	12	factors	factor	NOUN
american_scientific_journal-3632	13	13	of	of	ADP
american_scientific_journal-3632	13	14	production	production	NOUN
american_scientific_journal-3632	13	15	[	[	X
american_scientific_journal-3632	13	16	1	1	NUM
american_scientific_journal-3632	13	17	,	,	PUNCT
american_scientific_journal-3632	13	18	2	2	NUM
american_scientific_journal-3632	13	19	,	,	PUNCT
american_scientific_journal-3632	13	20	3	3	NUM
american_scientific_journal-3632	13	21	,	,	PUNCT
american_scientific_journal-3632	13	22	4	4	NUM
american_scientific_journal-3632	13	23	]	]	PUNCT
american_scientific_journal-3632	13	24	without	without	ADP
american_scientific_journal-3632	13	25	considering	consider	VERB
american_scientific_journal-3632	13	26	the	the	DET
american_scientific_journal-3632	13	27	nature	nature	NOUN
american_scientific_journal-3632	13	28	of	of	ADP
american_scientific_journal-3632	13	29	their	their	PRON
american_scientific_journal-3632	13	30	mutual	mutual	ADJ
american_scientific_journal-3632	13	31	dependence	dependence	NOUN
american_scientific_journal-3632	13	32	.	.	PUNCT
american_scientific_journal-3632	14	1	our	our	PRON
american_scientific_journal-3632	14	2	study	study	NOUN
american_scientific_journal-3632	14	3	is	be	AUX
american_scientific_journal-3632	14	4	rare	rare	ADJ
american_scientific_journal-3632	14	5	in	in	SCONJ
american_scientific_journal-3632	14	6	that	that	SCONJ
american_scientific_journal-3632	14	7	it	it	PRON
american_scientific_journal-3632	14	8	examines	examine	VERB
american_scientific_journal-3632	14	9	this	this	DET
american_scientific_journal-3632	14	10	dependence	dependence	NOUN
american_scientific_journal-3632	14	11	using	use	VERB
american_scientific_journal-3632	14	12	the	the	DET
american_scientific_journal-3632	14	13	obtained	obtain	VERB
american_scientific_journal-3632	14	14	but	but	CCONJ
american_scientific_journal-3632	14	15	not	not	PART
american_scientific_journal-3632	14	16	used	use	VERB
american_scientific_journal-3632	14	17	lotka	lotka	PROPN
american_scientific_journal-3632	14	18	volterra	volterra	NOUN
american_scientific_journal-3632	14	19	model	model	NOUN
american_scientific_journal-3632	14	20	and	and	CCONJ
american_scientific_journal-3632	14	21	analyses	analyse	VERB
american_scientific_journal-3632	14	22	the	the	DET
american_scientific_journal-3632	14	23	competitive	competitive	ADJ
american_scientific_journal-3632	14	24	and	and	CCONJ
american_scientific_journal-3632	14	25	cooperative	cooperative	ADJ
american_scientific_journal-3632	14	26	relationship	relationship	NOUN
american_scientific_journal-3632	14	27	between	between	ADP
american_scientific_journal-3632	14	28	the	the	DET
american_scientific_journal-3632	14	29	factors	factor	NOUN
american_scientific_journal-3632	14	30	of	of	ADP
american_scientific_journal-3632	14	31	production	production	NOUN
american_scientific_journal-3632	14	32	.	.	PUNCT
american_scientific_journal-3632	15	1	it	it	PRON
american_scientific_journal-3632	15	2	should	should	AUX
american_scientific_journal-3632	15	3	be	be	AUX
american_scientific_journal-3632	15	4	noted	note	VERB
american_scientific_journal-3632	15	5	that	that	SCONJ
american_scientific_journal-3632	15	6	several	several	ADJ
american_scientific_journal-3632	15	7	earlier	early	ADJ
american_scientific_journal-3632	15	8	works	work	NOUN
american_scientific_journal-3632	15	9	simply	simply	ADV
american_scientific_journal-3632	15	10	used	use	VERB
american_scientific_journal-3632	15	11	the	the	DET
american_scientific_journal-3632	15	12	lotka	lotka	PROPN
american_scientific_journal-3632	15	13	volterra	volterra	PROPN
american_scientific_journal-3632	15	14	model	model	NOUN
american_scientific_journal-3632	15	15	to	to	PART
american_scientific_journal-3632	15	16	study	study	VERB
american_scientific_journal-3632	15	17	the	the	DET
american_scientific_journal-3632	15	18	interdependence	interdependence	NOUN
american_scientific_journal-3632	15	19	between	between	ADP
american_scientific_journal-3632	15	20	two	two	NUM
american_scientific_journal-3632	15	21	or	or	CCONJ
american_scientific_journal-3632	15	22	more	more	ADJ
american_scientific_journal-3632	15	23	economic	economic	ADJ
american_scientific_journal-3632	15	24	variables	variable	NOUN
american_scientific_journal-3632	16	1	[	[	X
american_scientific_journal-3632	16	2	5	5	NUM
american_scientific_journal-3632	16	3	,	,	PUNCT
american_scientific_journal-3632	16	4	6].the	6].the	DET
american_scientific_journal-3632	16	5	classical	classical	ADJ
american_scientific_journal-3632	16	6	properties	property	NOUN
american_scientific_journal-3632	16	7	of	of	ADP
american_scientific_journal-3632	16	8	differential	differential	ADJ
american_scientific_journal-3632	16	9	equation	equation	NOUN
american_scientific_journal-3632	16	10	systems	system	NOUN
american_scientific_journal-3632	16	11	such	such	ADJ
american_scientific_journal-3632	16	12	as	as	ADP
american_scientific_journal-3632	16	13	lotka	lotka	PROPN
american_scientific_journal-3632	16	14	volterra	volterra	PROPN
american_scientific_journal-3632	16	15	will	will	AUX
american_scientific_journal-3632	16	16	enable	enable	VERB
american_scientific_journal-3632	16	17	us	we	PRON
american_scientific_journal-3632	16	18	to	to	PART
american_scientific_journal-3632	16	19	prove	prove	VERB
american_scientific_journal-3632	16	20	the	the	DET
american_scientific_journal-3632	16	21	existence	existence	NOUN
american_scientific_journal-3632	16	22	and	and	CCONJ
american_scientific_journal-3632	16	23	uniqueness	uniqueness	NOUN
american_scientific_journal-3632	16	24	of	of	ADP
american_scientific_journal-3632	16	25	a	a	DET
american_scientific_journal-3632	16	26	state	state	NOUN
american_scientific_journal-3632	16	27	of	of	ADP
american_scientific_journal-3632	16	28	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	16	29	.	.	PUNCT
american_scientific_journal-3632	17	1	we	we	PRON
american_scientific_journal-3632	17	2	have	have	AUX
american_scientific_journal-3632	17	3	also	also	ADV
american_scientific_journal-3632	17	4	used	use	VERB
american_scientific_journal-3632	17	5	lyapunov	lyapunov	PROPN
american_scientific_journal-3632	17	6	’s	’s	PART
american_scientific_journal-3632	17	7	workings	working	NOUN
american_scientific_journal-3632	17	8	to	to	PART
american_scientific_journal-3632	17	9	determine	determine	VERB
american_scientific_journal-3632	17	10	the	the	DET
american_scientific_journal-3632	17	11	stability	stability	NOUN
american_scientific_journal-3632	17	12	of	of	ADP
american_scientific_journal-3632	17	13	the	the	DET
american_scientific_journal-3632	17	14	long	long	ADJ
american_scientific_journal-3632	17	15	-	-	PUNCT
american_scientific_journal-3632	17	16	term	term	NOUN
american_scientific_journal-3632	17	17	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	17	18	between	between	ADP
american_scientific_journal-3632	17	19	technological	technological	ADJ
american_scientific_journal-3632	17	20	progress	progress	NOUN
american_scientific_journal-3632	17	21	and	and	CCONJ
american_scientific_journal-3632	17	22	capital	capital	NOUN
american_scientific_journal-3632	17	23	accumulation	accumulation	NOUN
american_scientific_journal-3632	17	24	.	.	PUNCT
american_scientific_journal-3632	18	1	this	this	DET
american_scientific_journal-3632	18	2	paper	paper	NOUN
american_scientific_journal-3632	18	3	will	will	AUX
american_scientific_journal-3632	18	4	proceed	proceed	VERB
american_scientific_journal-3632	18	5	in	in	ADP
american_scientific_journal-3632	18	6	the	the	DET
american_scientific_journal-3632	18	7	following	following	ADJ
american_scientific_journal-3632	18	8	manner	manner	NOUN
american_scientific_journal-3632	18	9	:	:	PUNCT
american_scientific_journal-3632	18	10	in	in	ADP
american_scientific_journal-3632	18	11	the	the	DET
american_scientific_journal-3632	18	12	course	course	NOUN
american_scientific_journal-3632	18	13	of	of	ADP
american_scientific_journal-3632	18	14	section	section	NOUN
american_scientific_journal-3632	18	15	2	2	NUM
american_scientific_journal-3632	18	16	,	,	PUNCT
american_scientific_journal-3632	18	17	we	we	PRON
american_scientific_journal-3632	18	18	will	will	AUX
american_scientific_journal-3632	18	19	explain	explain	VERB
american_scientific_journal-3632	18	20	the	the	DET
american_scientific_journal-3632	18	21	stages	stage	NOUN
american_scientific_journal-3632	18	22	which	which	PRON
american_scientific_journal-3632	18	23	led	lead	VERB
american_scientific_journal-3632	18	24	to	to	ADP
american_scientific_journal-3632	18	25	the	the	DET
american_scientific_journal-3632	18	26	r&d	r&d	NOUN
american_scientific_journal-3632	18	27	model	model	NOUN
american_scientific_journal-3632	18	28	(	(	PUNCT
american_scientific_journal-3632	18	29	such	such	ADJ
american_scientific_journal-3632	18	30	as	as	ADP
american_scientific_journal-3632	18	31	lotka	lotka	PROPN
american_scientific_journal-3632	18	32	volterra	volterra	PROPN
american_scientific_journal-3632	18	33	)	)	PUNCT
american_scientific_journal-3632	18	34	.	.	PUNCT
american_scientific_journal-3632	19	1	throughout	throughout	ADP
american_scientific_journal-3632	19	2	the	the	DET
american_scientific_journal-3632	19	3	third	third	ADJ
american_scientific_journal-3632	19	4	section	section	NOUN
american_scientific_journal-3632	19	5	we	we	PRON
american_scientific_journal-3632	19	6	will	will	AUX
american_scientific_journal-3632	19	7	carry	carry	VERB
american_scientific_journal-3632	19	8	out	out	ADP
american_scientific_journal-3632	19	9	an	an	DET
american_scientific_journal-3632	19	10	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	19	11	study	study	NOUN
american_scientific_journal-3632	19	12	that	that	PRON
american_scientific_journal-3632	19	13	will	will	AUX
american_scientific_journal-3632	19	14	highlight	highlight	VERB
american_scientific_journal-3632	19	15	the	the	DET
american_scientific_journal-3632	19	16	coexistence	coexistence	NOUN
american_scientific_journal-3632	19	17	of	of	ADP
american_scientific_journal-3632	19	18	capital	capital	NOUN
american_scientific_journal-3632	19	19	accumulation	accumulation	NOUN
american_scientific_journal-3632	19	20	and	and	CCONJ
american_scientific_journal-3632	19	21	technological	technological	ADJ
american_scientific_journal-3632	19	22	progress	progress	NOUN
american_scientific_journal-3632	19	23	.	.	PUNCT
american_scientific_journal-3632	20	1	we	we	PRON
american_scientific_journal-3632	20	2	shall	shall	AUX
american_scientific_journal-3632	20	3	furthermore	furthermore	ADV
american_scientific_journal-3632	20	4	construct	construct	VERB
american_scientific_journal-3632	20	5	a	a	DET
american_scientific_journal-3632	20	6	lyapunov	lyapunov	ADJ
american_scientific_journal-3632	20	7	function	function	NOUN
american_scientific_journal-3632	20	8	which	which	PRON
american_scientific_journal-3632	20	9	will	will	AUX
american_scientific_journal-3632	20	10	help	help	VERB
american_scientific_journal-3632	20	11	us	we	PRON
american_scientific_journal-3632	20	12	in	in	ADP
american_scientific_journal-3632	20	13	showing	show	VERB
american_scientific_journal-3632	20	14	the	the	DET
american_scientific_journal-3632	20	15	asymptotic	asymptotic	ADJ
american_scientific_journal-3632	20	16	convergence	convergence	NOUN
american_scientific_journal-3632	20	17	towards	towards	ADP
american_scientific_journal-3632	20	18	a	a	DET
american_scientific_journal-3632	20	19	stable	stable	ADJ
american_scientific_journal-3632	20	20	state	state	NOUN
american_scientific_journal-3632	20	21	of	of	ADP
american_scientific_journal-3632	20	22	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	20	23	.	.	PUNCT
american_scientific_journal-3632	21	1	a	a	DET
american_scientific_journal-3632	21	2	numerical	numerical	ADJ
american_scientific_journal-3632	21	3	application	application	NOUN
american_scientific_journal-3632	21	4	will	will	AUX
american_scientific_journal-3632	21	5	then	then	ADV
american_scientific_journal-3632	21	6	be	be	AUX
american_scientific_journal-3632	21	7	carried	carry	VERB
american_scientific_journal-3632	21	8	out	out	ADP
american_scientific_journal-3632	21	9	in	in	ADP
american_scientific_journal-3632	21	10	order	order	NOUN
american_scientific_journal-3632	21	11	to	to	PART
american_scientific_journal-3632	21	12	verify	verify	VERB
american_scientific_journal-3632	21	13	the	the	DET
american_scientific_journal-3632	21	14	robustness	robustness	NOUN
american_scientific_journal-3632	21	15	of	of	ADP
american_scientific_journal-3632	21	16	the	the	DET
american_scientific_journal-3632	21	17	model	model	NOUN
american_scientific_journal-3632	21	18	as	as	ADV
american_scientific_journal-3632	21	19	well	well	ADV
american_scientific_journal-3632	21	20	as	as	ADP
american_scientific_journal-3632	21	21	the	the	DET
american_scientific_journal-3632	21	22	nature	nature	NOUN
american_scientific_journal-3632	21	23	of	of	ADP
american_scientific_journal-3632	21	24	the	the	DET
american_scientific_journal-3632	21	25	link	link	NOUN
american_scientific_journal-3632	21	26	between	between	ADP
american_scientific_journal-3632	21	27	investment	investment	NOUN
american_scientific_journal-3632	21	28	into	into	ADP
american_scientific_journal-3632	21	29	capital	capital	NOUN
american_scientific_journal-3632	21	30	and	and	CCONJ
american_scientific_journal-3632	21	31	r&d	r&d	NOUN
american_scientific_journal-3632	21	32	.	.	PUNCT
american_scientific_journal-3632	22	1	section	section	NOUN
american_scientific_journal-3632	22	2	4	4	NUM
american_scientific_journal-3632	22	3	illustrates	illustrate	VERB
american_scientific_journal-3632	22	4	the	the	DET
american_scientific_journal-3632	22	5	method	method	NOUN
american_scientific_journal-3632	22	6	of	of	ADP
american_scientific_journal-3632	22	7	estimating	estimate	VERB
american_scientific_journal-3632	22	8	the	the	DET
american_scientific_journal-3632	22	9	model	model	NOUN
american_scientific_journal-3632	22	10	parameters	parameter	NOUN
american_scientific_journal-3632	22	11	in	in	ADP
american_scientific_journal-3632	22	12	order	order	NOUN
american_scientific_journal-3632	22	13	to	to	PART
american_scientific_journal-3632	22	14	determine	determine	VERB
american_scientific_journal-3632	22	15	the	the	DET
american_scientific_journal-3632	22	16	estimated	estimate	VERB
american_scientific_journal-3632	22	17	values	value	NOUN
american_scientific_journal-3632	22	18	and	and	CCONJ
american_scientific_journal-3632	22	19	also	also	ADV
american_scientific_journal-3632	22	20	explains	explain	VERB
american_scientific_journal-3632	22	21	the	the	DET
american_scientific_journal-3632	22	22	interdependent	interdependent	ADJ
american_scientific_journal-3632	22	23	nature	nature	NOUN
american_scientific_journal-3632	22	24	between	between	ADP
american_scientific_journal-3632	22	25	the	the	DET
american_scientific_journal-3632	22	26	economic	economic	ADJ
american_scientific_journal-3632	22	27	variables	variable	NOUN
american_scientific_journal-3632	22	28	in	in	ADP
american_scientific_journal-3632	22	29	the	the	DET
american_scientific_journal-3632	22	30	case	case	NOUN
american_scientific_journal-3632	22	31	of	of	ADP
american_scientific_journal-3632	22	32	the	the	DET
american_scientific_journal-3632	22	33	real	real	ADJ
american_scientific_journal-3632	22	34	market	market	NOUN
american_scientific_journal-3632	22	35	.	.	PUNCT
american_scientific_journal-3632	23	1	the	the	DET
american_scientific_journal-3632	23	2	fifth	fifth	ADJ
american_scientific_journal-3632	23	3	section	section	NOUN
american_scientific_journal-3632	23	4	presents	present	VERB
american_scientific_journal-3632	23	5	our	our	PRON
american_scientific_journal-3632	23	6	conclusions	conclusion	NOUN
american_scientific_journal-3632	23	7	.	.	PUNCT
american_scientific_journal-3632	24	1	at	at	ADP
american_scientific_journal-3632	24	2	the	the	DET
american_scientific_journal-3632	24	3	end	end	NOUN
american_scientific_journal-3632	24	4	we	we	PRON
american_scientific_journal-3632	24	5	’ll	’ll	AUX
american_scientific_journal-3632	24	6	present	present	VERB
american_scientific_journal-3632	24	7	our	our	PRON
american_scientific_journal-3632	24	8	study	study	NOUN
american_scientific_journal-3632	24	9	’s	’s	PART
american_scientific_journal-3632	24	10	limitations	limitation	NOUN
american_scientific_journal-3632	24	11	.	.	PUNCT
american_scientific_journal-3632	25	1	2	2	X
american_scientific_journal-3632	25	2	.	.	X
american_scientific_journal-3632	25	3	description	description	NOUN
american_scientific_journal-3632	25	4	of	of	ADP
american_scientific_journal-3632	25	5	the	the	DET
american_scientific_journal-3632	25	6	r&d	r&d	NOUN
american_scientific_journal-3632	25	7	model	model	NOUN
american_scientific_journal-3632	25	8	following	follow	VERB
american_scientific_journal-3632	25	9	the	the	DET
american_scientific_journal-3632	25	10	example	example	NOUN
american_scientific_journal-3632	25	11	of	of	ADP
american_scientific_journal-3632	25	12	many	many	ADJ
american_scientific_journal-3632	25	13	economic	economic	ADJ
american_scientific_journal-3632	25	14	models	model	NOUN
american_scientific_journal-3632	25	15	,	,	PUNCT
american_scientific_journal-3632	25	16	we	we	PRON
american_scientific_journal-3632	25	17	consider	consider	VERB
american_scientific_journal-3632	25	18	an	an	DET
american_scientific_journal-3632	25	19	economy	economy	NOUN
american_scientific_journal-3632	25	20	to	to	PART
american_scientific_journal-3632	25	21	be	be	AUX
american_scientific_journal-3632	25	22	made	make	VERB
american_scientific_journal-3632	25	23	up	up	ADP
american_scientific_journal-3632	25	24	of	of	ADP
american_scientific_journal-3632	25	25	two	two	NUM
american_scientific_journal-3632	25	26	sectors	sector	NOUN
american_scientific_journal-3632	25	27	:	:	PUNCT
american_scientific_journal-3632	25	28	a	a	DET
american_scientific_journal-3632	25	29	goods	good	NOUN
american_scientific_journal-3632	25	30	sector	sector	NOUN
american_scientific_journal-3632	25	31	which	which	PRON
american_scientific_journal-3632	25	32	produces	produce	VERB
american_scientific_journal-3632	25	33	output	output	NOUN
american_scientific_journal-3632	25	34	and	and	CCONJ
american_scientific_journal-3632	25	35	an	an	DET
american_scientific_journal-3632	25	36	r&d	r&d	NOUN
american_scientific_journal-3632	25	37	2	2	NUM
american_scientific_journal-3632	25	38	sector	sector	NOUN
american_scientific_journal-3632	25	39	which	which	PRON
american_scientific_journal-3632	25	40	concerns	concern	VERB
american_scientific_journal-3632	25	41	itself	itself	PRON
american_scientific_journal-3632	25	42	with	with	ADP
american_scientific_journal-3632	25	43	the	the	DET
american_scientific_journal-3632	25	44	production	production	NOUN
american_scientific_journal-3632	25	45	of	of	ADP
american_scientific_journal-3632	25	46	knowledge	knowledge	NOUN
american_scientific_journal-3632	25	47	.	.	PUNCT
american_scientific_journal-3632	26	1	we	we	PRON
american_scientific_journal-3632	26	2	will	will	AUX
american_scientific_journal-3632	26	3	use	use	VERB
american_scientific_journal-3632	26	4	a	a	DET
american_scientific_journal-3632	26	5	cobb	cobb	PROPN
american_scientific_journal-3632	26	6	douglas	douglas	PROPN
american_scientific_journal-3632	26	7	production	production	PROPN
american_scientific_journal-3632	26	8	function	function	NOUN
american_scientific_journal-3632	26	9	.	.	PUNCT
american_scientific_journal-3632	27	1	thus	thus	ADV
american_scientific_journal-3632	27	2	,	,	PUNCT
american_scientific_journal-3632	27	3	the	the	DET
american_scientific_journal-3632	27	4	output	output	NOUN
american_scientific_journal-3632	27	5	y(t	y(t	PROPN
american_scientific_journal-3632	27	6	)	)	PUNCT
american_scientific_journal-3632	27	7	is	be	AUX
american_scientific_journal-3632	27	8	produced	produce	VERB
american_scientific_journal-3632	27	9	at	at	ADP
american_scientific_journal-3632	27	10	time	time	NOUN
american_scientific_journal-3632	27	11	t	t	PROPN
american_scientific_journal-3632	27	12	using	use	VERB
american_scientific_journal-3632	27	13	the	the	DET
american_scientific_journal-3632	27	14	following	follow	VERB
american_scientific_journal-3632	27	15	equation	equation	NOUN
american_scientific_journal-3632	27	16	:	:	PUNCT
american_scientific_journal-3632	27	17	y(t	y(t	NUM
american_scientific_journal-3632	27	18	)	)	PUNCT
american_scientific_journal-3632	28	1	=	=	PRON
american_scientific_journal-3632	28	2	(	(	PUNCT
american_scientific_journal-3632	28	3	(	(	PUNCT
american_scientific_journal-3632	28	4	1	1	NUM
american_scientific_journal-3632	28	5	–	–	PUNCT
american_scientific_journal-3632	28	6	ak	ak	PROPN
american_scientific_journal-3632	28	7	)	)	PUNCT
american_scientific_journal-3632	28	8	k(t))	k(t))	X
american_scientific_journal-3632	28	9	(	(	PUNCT
american_scientific_journal-3632	28	10	a(t)(l	a(t)(l	PUNCT
american_scientific_journal-3632	28	11	al)l(t	al)l(t	NOUN
american_scientific_journal-3632	28	12	)	)	PUNCT
american_scientific_journal-3632	28	13	)	)	PUNCT
american_scientific_journal-3632	28	14			NOUN
american_scientific_journal-3632	28	15	’	'	PUNCT
american_scientific_journal-3632	28	16	(	(	PUNCT
american_scientific_journal-3632	28	17	1	1	NUM
american_scientific_journal-3632	28	18	)	)	PUNCT
american_scientific_journal-3632	28	19	where	where	SCONJ
american_scientific_journal-3632	28	20			VERB
american_scientific_journal-3632	28	21			NOUN
american_scientific_journal-3632	28	22	(	(	PUNCT
american_scientific_journal-3632	28	23	0	0	NUM
american_scientific_journal-3632	28	24	,	,	PUNCT
american_scientific_journal-3632	28	25	1	1	NUM
american_scientific_journal-3632	28	26	)	)	PUNCT
american_scientific_journal-3632	28	27	,	,	PUNCT
american_scientific_journal-3632	28	28	represents	represent	VERB
american_scientific_journal-3632	28	29	the	the	DET
american_scientific_journal-3632	28	30	output	output	NOUN
american_scientific_journal-3632	28	31	elasticity	elasticity	NOUN
american_scientific_journal-3632	28	32	of	of	ADP
american_scientific_journal-3632	28	33	capital	capital	NOUN
american_scientific_journal-3632	28	34	,	,	PUNCT
american_scientific_journal-3632	28	35			NOUN
american_scientific_journal-3632	28	36	'	'	PART
american_scientific_journal-3632	28	37	=	=	SYM
american_scientific_journal-3632	28	38	1	1	PROPN
american_scientific_journal-3632	28	39	is	be	AUX
american_scientific_journal-3632	28	40	the	the	DET
american_scientific_journal-3632	28	41	output	output	NOUN
american_scientific_journal-3632	28	42	elasticity	elasticity	NOUN
american_scientific_journal-3632	28	43	of	of	ADP
american_scientific_journal-3632	28	44	labor	labor	NOUN
american_scientific_journal-3632	28	45	.	.	PUNCT
american_scientific_journal-3632	29	1	the	the	DET
american_scientific_journal-3632	29	2	proportion	proportion	NOUN
american_scientific_journal-3632	29	3	al	al	PROPN
american_scientific_journal-3632	29	4	of	of	ADP
american_scientific_journal-3632	29	5	the	the	DET
american_scientific_journal-3632	29	6	labor	labor	NOUN
american_scientific_journal-3632	29	7	factor	factor	NOUN
american_scientific_journal-3632	29	8	is	be	AUX
american_scientific_journal-3632	29	9	used	use	VERB
american_scientific_journal-3632	29	10	in	in	ADP
american_scientific_journal-3632	29	11	the	the	DET
american_scientific_journal-3632	29	12	knowledge	knowledge	NOUN
american_scientific_journal-3632	29	13	production	production	NOUN
american_scientific_journal-3632	29	14	section	section	NOUN
american_scientific_journal-3632	29	15	(	(	PUNCT
american_scientific_journal-3632	29	16	r&d	r&d	NOUN
american_scientific_journal-3632	29	17	)	)	PUNCT
american_scientific_journal-3632	29	18	while	while	SCONJ
american_scientific_journal-3632	29	19	the	the	DET
american_scientific_journal-3632	29	20	proportion	proportion	NOUN
american_scientific_journal-3632	29	21	1	1	NUM
american_scientific_journal-3632	29	22	al	al	PROPN
american_scientific_journal-3632	29	23	is	be	AUX
american_scientific_journal-3632	29	24	used	use	VERB
american_scientific_journal-3632	29	25	in	in	ADP
american_scientific_journal-3632	29	26	the	the	DET
american_scientific_journal-3632	29	27	production	production	NOUN
american_scientific_journal-3632	29	28	of	of	ADP
american_scientific_journal-3632	29	29	goods	good	NOUN
american_scientific_journal-3632	29	30	sector	sector	NOUN
american_scientific_journal-3632	29	31	.	.	PUNCT
american_scientific_journal-3632	30	1	moreover	moreover	ADV
american_scientific_journal-3632	30	2	,	,	PUNCT
american_scientific_journal-3632	30	3	the	the	DET
american_scientific_journal-3632	30	4	capital	capital	NOUN
american_scientific_journal-3632	30	5	stock	stock	NOUN
american_scientific_journal-3632	30	6	proportion	proportion	NOUN
american_scientific_journal-3632	30	7	ak	ak	PROPN
american_scientific_journal-3632	30	8	is	be	AUX
american_scientific_journal-3632	30	9	used	use	VERB
american_scientific_journal-3632	30	10	in	in	ADP
american_scientific_journal-3632	30	11	the	the	DET
american_scientific_journal-3632	30	12	r&d	r&d	NOUN
american_scientific_journal-3632	30	13	sector	sector	NOUN
american_scientific_journal-3632	30	14	while	while	SCONJ
american_scientific_journal-3632	30	15	the	the	DET
american_scientific_journal-3632	30	16	proportion	proportion	NOUN
american_scientific_journal-3632	30	17	1	1	NUM
american_scientific_journal-3632	30	18	ak	ak	PROPN
american_scientific_journal-3632	30	19	is	be	AUX
american_scientific_journal-3632	30	20	used	use	VERB
american_scientific_journal-3632	30	21	in	in	ADP
american_scientific_journal-3632	30	22	the	the	DET
american_scientific_journal-3632	30	23	production	production	NOUN
american_scientific_journal-3632	30	24	of	of	ADP
american_scientific_journal-3632	30	25	goods	good	NOUN
american_scientific_journal-3632	30	26	sector	sector	NOUN
american_scientific_journal-3632	30	27	.	.	PUNCT
american_scientific_journal-3632	31	1	we	we	PRON
american_scientific_journal-3632	31	2	furthermore	furthermore	ADV
american_scientific_journal-3632	31	3	assume	assume	VERB
american_scientific_journal-3632	31	4	that	that	SCONJ
american_scientific_journal-3632	31	5	both	both	DET
american_scientific_journal-3632	31	6	sectors	sector	NOUN
american_scientific_journal-3632	31	7	use	use	VERB
american_scientific_journal-3632	31	8	the	the	DET
american_scientific_journal-3632	31	9	entirety	entirety	NOUN
american_scientific_journal-3632	31	10	of	of	ADP
american_scientific_journal-3632	31	11	the	the	DET
american_scientific_journal-3632	31	12	knowledge	knowledge	NOUN
american_scientific_journal-3632	31	13	stock3	stock3	PROPN
american_scientific_journal-3632	31	14	a(t	a(t	PROPN
american_scientific_journal-3632	31	15	)	)	PUNCT
american_scientific_journal-3632	31	16	.	.	PUNCT
american_scientific_journal-3632	32	1	in	in	ADP
american_scientific_journal-3632	32	2	order	order	NOUN
american_scientific_journal-3632	32	3	to	to	PART
american_scientific_journal-3632	32	4	reduce	reduce	VERB
american_scientific_journal-3632	32	5	text	text	NOUN
american_scientific_journal-3632	32	6	,	,	PUNCT
american_scientific_journal-3632	32	7	we	we	PRON
american_scientific_journal-3632	32	8	use	use	VERB
american_scientific_journal-3632	32	9	cy	cy	PROPN
american_scientific_journal-3632	32	10	=	=	SYM
american_scientific_journal-3632	32	11	(	(	PUNCT
american_scientific_journal-3632	32	12	1ak)	1ak)	PROPN
american_scientific_journal-3632	32	13	(	(	PUNCT
american_scientific_journal-3632	32	14	1al)	1al)	NUM
american_scientific_journal-3632	32	15	’	'	PUNCT
american_scientific_journal-3632	32	16	.	.	PUNCT
american_scientific_journal-3632	33	1	the	the	DET
american_scientific_journal-3632	33	2	equation	equation	NOUN
american_scientific_journal-3632	33	3	(	(	PUNCT
american_scientific_journal-3632	33	4	1	1	X
american_scientific_journal-3632	33	5	)	)	PUNCT
american_scientific_journal-3632	33	6	takes	take	VERB
american_scientific_journal-3632	33	7	the	the	DET
american_scientific_journal-3632	33	8	following	follow	VERB
american_scientific_journal-3632	33	9	form	form	NOUN
american_scientific_journal-3632	33	10	:	:	PUNCT
american_scientific_journal-3632	33	11	1	1	NUM
american_scientific_journal-3632	33	12	capital	capital	NOUN
american_scientific_journal-3632	33	13	and	and	CCONJ
american_scientific_journal-3632	33	14	labour	labour	NOUN
american_scientific_journal-3632	33	15	.	.	PUNCT
american_scientific_journal-3632	34	1	2	2	NUM
american_scientific_journal-3632	34	2	note	note	VERB
american_scientific_journal-3632	34	3	that	that	SCONJ
american_scientific_journal-3632	34	4	new	new	ADJ
american_scientific_journal-3632	34	5	knowledge	knowledge	NOUN
american_scientific_journal-3632	34	6	and	and	CCONJ
american_scientific_journal-3632	34	7	ideas	idea	NOUN
american_scientific_journal-3632	34	8	are	be	AUX
american_scientific_journal-3632	34	9	generated	generate	VERB
american_scientific_journal-3632	34	10	by	by	ADP
american_scientific_journal-3632	34	11	the	the	DET
american_scientific_journal-3632	34	12	r&d	r&d	NOUN
american_scientific_journal-3632	34	13	sector	sector	NOUN
american_scientific_journal-3632	34	14	.	.	PUNCT
american_scientific_journal-3632	35	1	3	3	NUM
american_scientific_journal-3632	36	1	both	both	DET
american_scientific_journal-3632	36	2	sectors	sector	NOUN
american_scientific_journal-3632	36	3	use	use	VERB
american_scientific_journal-3632	36	4	the	the	DET
american_scientific_journal-3632	36	5	entire	entire	ADJ
american_scientific_journal-3632	36	6	stock	stock	NOUN
american_scientific_journal-3632	36	7	of	of	ADP
american_scientific_journal-3632	36	8	knowledge	knowledge	NOUN
american_scientific_journal-3632	36	9	a	a	PRON
american_scientific_journal-3632	36	10	as	as	ADP
american_scientific_journal-3632	36	11	the	the	DET
american_scientific_journal-3632	36	12	use	use	NOUN
american_scientific_journal-3632	36	13	of	of	ADP
american_scientific_journal-3632	36	14	an	an	DET
american_scientific_journal-3632	36	15	idea	idea	NOUN
american_scientific_journal-3632	36	16	or	or	CCONJ
american_scientific_journal-3632	36	17	knowledge	knowledge	NOUN
american_scientific_journal-3632	36	18	in	in	ADP
american_scientific_journal-3632	36	19	one	one	NUM
american_scientific_journal-3632	36	20	place	place	NOUN
american_scientific_journal-3632	36	21	does	do	AUX
american_scientific_journal-3632	36	22	not	not	PART
american_scientific_journal-3632	36	23	prevent	prevent	VERB
american_scientific_journal-3632	36	24	its	its	PRON
american_scientific_journal-3632	36	25	use	use	NOUN
american_scientific_journal-3632	36	26	elsewhere	elsewhere	ADV
american_scientific_journal-3632	36	27	.	.	PUNCT
american_scientific_journal-3632	37	1	therefore	therefore	ADV
american_scientific_journal-3632	37	2	,	,	PUNCT
american_scientific_journal-3632	37	3	there	there	PRON
american_scientific_journal-3632	37	4	is	be	VERB
american_scientific_journal-3632	37	5	no	no	DET
american_scientific_journal-3632	37	6	need	need	NOUN
american_scientific_journal-3632	37	7	to	to	PART
american_scientific_journal-3632	37	8	divide	divide	VERB
american_scientific_journal-3632	37	9	the	the	DET
american_scientific_journal-3632	37	10	stock	stock	NOUN
american_scientific_journal-3632	37	11	of	of	ADP
american_scientific_journal-3632	37	12	knowledge	knowledge	NOUN
american_scientific_journal-3632	37	13	between	between	ADP
american_scientific_journal-3632	37	14	the	the	DET
american_scientific_journal-3632	37	15	two	two	NUM
american_scientific_journal-3632	37	16	sectors	sector	NOUN
american_scientific_journal-3632	37	17	of	of	ADP
american_scientific_journal-3632	37	18	activity	activity	NOUN
american_scientific_journal-3632	37	19	.	.	PUNCT
american_scientific_journal-3632	38	1	american	american	ADJ
american_scientific_journal-3632	38	2	scientific	scientific	ADJ
american_scientific_journal-3632	38	3	research	research	PROPN
american_scientific_journal-3632	38	4	journal	journal	NOUN
american_scientific_journal-3632	38	5	for	for	ADP
american_scientific_journal-3632	38	6	engineering	engineering	NOUN
american_scientific_journal-3632	38	7	,	,	PUNCT
american_scientific_journal-3632	38	8	technology	technology	NOUN
american_scientific_journal-3632	38	9	,	,	PUNCT
american_scientific_journal-3632	38	10	and	and	CCONJ
american_scientific_journal-3632	38	11	sciences	science	NOUN
american_scientific_journal-3632	38	12	(	(	PUNCT
american_scientific_journal-3632	38	13	asrjets	asrjet	NOUN
american_scientific_journal-3632	38	14	)	)	PUNCT
american_scientific_journal-3632	38	15	(	(	PUNCT
american_scientific_journal-3632	38	16	2018	2018	NUM
american_scientific_journal-3632	38	17	)	)	PUNCT
american_scientific_journal-3632	38	18	volume	volume	NOUN
american_scientific_journal-3632	38	19	39	39	NUM
american_scientific_journal-3632	38	20	,	,	PUNCT
american_scientific_journal-3632	38	21	no	no	DET
american_scientific_journal-3632	38	22	1	1	NUM
american_scientific_journal-3632	38	23	,	,	PUNCT
american_scientific_journal-3632	38	24	pp	pp	ADJ
american_scientific_journal-3632	38	25	138	138	NUM
american_scientific_journal-3632	38	26	-	-	SYM
american_scientific_journal-3632	38	27	158	158	NUM
american_scientific_journal-3632	38	28	140	140	NUM
american_scientific_journal-3632	38	29	y(t	y(t	NUM
american_scientific_journal-3632	38	30	)	)	PUNCT
american_scientific_journal-3632	38	31	=	=	SYM
american_scientific_journal-3632	38	32	cy(a(t))	cy(a(t))	PROPN
american_scientific_journal-3632	38	33	’	'	PUNCT
american_scientific_journal-3632	38	34	(	(	PUNCT
american_scientific_journal-3632	38	35	k(t))	k(t))	X
american_scientific_journal-3632	38	36	(	(	PUNCT
american_scientific_journal-3632	38	37	l(t	l(t	PROPN
american_scientific_journal-3632	38	38	)	)	PUNCT
american_scientific_journal-3632	38	39	)	)	PUNCT
american_scientific_journal-3632	38	40			NOUN
american_scientific_journal-3632	38	41	’	'	PUNCT
american_scientific_journal-3632	38	42	.	.	PUNCT
american_scientific_journal-3632	39	1	the	the	DET
american_scientific_journal-3632	39	2	knowledge	knowledge	NOUN
american_scientific_journal-3632	39	3	production	production	NOUN
american_scientific_journal-3632	39	4	function4	function4	NOUN
american_scientific_journal-3632	39	5	presents	present	VERB
american_scientific_journal-3632	39	6	itself	itself	PRON
american_scientific_journal-3632	39	7	as	as	SCONJ
american_scientific_journal-3632	39	8	follows	follow	VERB
american_scientific_journal-3632	39	9	:	:	PUNCT
american_scientific_journal-3632	39	10	a(t	a(t	VERB
american_scientific_journal-3632	39	11	)	)	PUNCT
american_scientific_journal-3632	40	1	=	=	SYM
american_scientific_journal-3632	40	2	e	e	X
american_scientific_journal-3632	40	3	(	(	PUNCT
american_scientific_journal-3632	40	4	ak	ak	PROPN
american_scientific_journal-3632	40	5	k(t))	k(t))	PROPN
american_scientific_journal-3632	40	6	(	(	PUNCT
american_scientific_journal-3632	40	7	all(t))	all(t))	PROPN
american_scientific_journal-3632	40	8	(	(	PUNCT
american_scientific_journal-3632	40	9	a(t))1+	a(t))1+	PROPN
american_scientific_journal-3632	40	10	(	(	PUNCT
american_scientific_journal-3632	40	11	2	2	NUM
american_scientific_journal-3632	40	12	)	)	PUNCT
american_scientific_journal-3632	40	13	where	where	SCONJ
american_scientific_journal-3632	40	14	e	e	NOUN
american_scientific_journal-3632	40	15	is	be	AUX
american_scientific_journal-3632	40	16	a	a	DET
american_scientific_journal-3632	40	17	strictly	strictly	ADV
american_scientific_journal-3632	40	18	positive	positive	ADJ
american_scientific_journal-3632	40	19	factor	factor	NOUN
american_scientific_journal-3632	40	20	measuring	measure	VERB
american_scientific_journal-3632	40	21	the	the	DET
american_scientific_journal-3632	40	22	performance	performance	NOUN
american_scientific_journal-3632	40	23	of	of	ADP
american_scientific_journal-3632	40	24	the	the	DET
american_scientific_journal-3632	40	25	r&d	r&d	NOUN
american_scientific_journal-3632	40	26	sector	sector	NOUN
american_scientific_journal-3632	40	27	.	.	PUNCT
american_scientific_journal-3632	41	1			NOUN
american_scientific_journal-3632	41	2	,	,	PUNCT
american_scientific_journal-3632	41	3			NUM
american_scientific_journal-3632	41	4	are	be	AUX
american_scientific_journal-3632	41	5	also	also	ADV
american_scientific_journal-3632	41	6	positive	positive	ADJ
american_scientific_journal-3632	41	7	factors	factor	NOUN
american_scientific_journal-3632	41	8	.	.	PUNCT
american_scientific_journal-3632	42	1	a	a	DET
american_scientific_journal-3632	42	2	(	(	PUNCT
american_scientific_journal-3632	42	3	t	t	NOUN
american_scientific_journal-3632	42	4	)	)	PUNCT
american_scientific_journal-3632	42	5	describes	describe	VERB
american_scientific_journal-3632	42	6	the	the	DET
american_scientific_journal-3632	42	7	flow	flow	NOUN
american_scientific_journal-3632	42	8	of	of	ADP
american_scientific_journal-3632	42	9	knowledge	knowledge	NOUN
american_scientific_journal-3632	42	10	at	at	ADP
american_scientific_journal-3632	42	11	time	time	NOUN
american_scientific_journal-3632	42	12	t.	t.	PROPN
american_scientific_journal-3632	42	13	this	this	DET
american_scientific_journal-3632	42	14	function	function	NOUN
american_scientific_journal-3632	42	15	depends	depend	VERB
american_scientific_journal-3632	42	16	on	on	ADP
american_scientific_journal-3632	42	17	the	the	DET
american_scientific_journal-3632	42	18	number	number	NOUN
american_scientific_journal-3632	42	19	of	of	ADP
american_scientific_journal-3632	42	20	researchers	researcher	NOUN
american_scientific_journal-3632	42	21	,	,	PUNCT
american_scientific_journal-3632	42	22	the	the	DET
american_scientific_journal-3632	42	23	existing	exist	VERB
american_scientific_journal-3632	42	24	stock	stock	NOUN
american_scientific_journal-3632	42	25	of	of	ADP
american_scientific_journal-3632	42	26	knowledge	knowledge	NOUN
american_scientific_journal-3632	42	27	and	and	CCONJ
american_scientific_journal-3632	42	28	of	of	ADP
american_scientific_journal-3632	42	29	capital	capital	NOUN
american_scientific_journal-3632	42	30	.	.	PUNCT
american_scientific_journal-3632	43	1	in	in	ADP
american_scientific_journal-3632	43	2	applying	apply	VERB
american_scientific_journal-3632	43	3	ηξ	ηξ	X
american_scientific_journal-3632	43	4	c	c	NOUN
american_scientific_journal-3632	43	5	=	=	SYM
american_scientific_journal-3632	43	6	e	e	PROPN
american_scientific_journal-3632	43	7	a	a	DET
american_scientific_journal-3632	43	8	ak	ak	PROPN
american_scientific_journal-3632	43	9	k	k	PROPN
american_scientific_journal-3632	43	10	l	l	PROPN
american_scientific_journal-3632	43	11	,	,	PUNCT
american_scientific_journal-3632	43	12	the	the	DET
american_scientific_journal-3632	43	13	function	function	NOUN
american_scientific_journal-3632	43	14	of	of	ADP
american_scientific_journal-3632	43	15	knowledge	knowledge	NOUN
american_scientific_journal-3632	43	16	production	production	NOUN
american_scientific_journal-3632	43	17	takes	take	VERB
american_scientific_journal-3632	43	18	the	the	DET
american_scientific_journal-3632	43	19	following	follow	VERB
american_scientific_journal-3632	43	20	form	form	NOUN
american_scientific_journal-3632	43	21	:	:	PUNCT
american_scientific_journal-3632	43	22	a(t	a(t	NOUN
american_scientific_journal-3632	43	23	)	)	PUNCT
american_scientific_journal-3632	44	1	=	=	PUNCT
american_scientific_journal-3632	44	2	ck(k(t))	ck(k(t))	NOUN
american_scientific_journal-3632	44	3	(	(	PUNCT
american_scientific_journal-3632	44	4	l(t))(a(t))l+	l(t))(a(t))l+	VERB
american_scientific_journal-3632	44	5	.	.	PUNCT
american_scientific_journal-3632	45	1	the	the	DET
american_scientific_journal-3632	45	2	study	study	NOUN
american_scientific_journal-3632	45	3	which	which	PRON
american_scientific_journal-3632	45	4	we	we	PRON
american_scientific_journal-3632	45	5	are	be	AUX
american_scientific_journal-3632	45	6	carrying	carry	VERB
american_scientific_journal-3632	45	7	out	out	ADP
american_scientific_journal-3632	45	8	on	on	ADP
american_scientific_journal-3632	45	9	this	this	DET
american_scientific_journal-3632	45	10	work	work	NOUN
american_scientific_journal-3632	45	11	on	on	ADP
american_scientific_journal-3632	45	12	the	the	DET
american_scientific_journal-3632	45	13	nature	nature	NOUN
american_scientific_journal-3632	45	14	of	of	ADP
american_scientific_journal-3632	45	15	the	the	DET
american_scientific_journal-3632	45	16	link	link	NOUN
american_scientific_journal-3632	45	17	between	between	ADP
american_scientific_journal-3632	45	18	corporate	corporate	ADJ
american_scientific_journal-3632	45	19	strategies	strategy	NOUN
american_scientific_journal-3632	45	20	in	in	ADP
american_scientific_journal-3632	45	21	terms	term	NOUN
american_scientific_journal-3632	45	22	of	of	ADP
american_scientific_journal-3632	45	23	investment	investment	NOUN
american_scientific_journal-3632	45	24	in	in	ADP
american_scientific_journal-3632	45	25	r&d	r&d	NOUN
american_scientific_journal-3632	45	26	and	and	CCONJ
american_scientific_journal-3632	45	27	capital	capital	NOUN
american_scientific_journal-3632	45	28	is	be	AUX
american_scientific_journal-3632	45	29	essentially	essentially	ADV
american_scientific_journal-3632	45	30	based	base	VERB
american_scientific_journal-3632	45	31	on	on	ADP
american_scientific_journal-3632	45	32	the	the	DET
american_scientific_journal-3632	45	33	following	follow	VERB
american_scientific_journal-3632	45	34	system	system	NOUN
american_scientific_journal-3632	45	35	of	of	ADP
american_scientific_journal-3632	45	36	production	production	NOUN
american_scientific_journal-3632	45	37	functions	function	NOUN
american_scientific_journal-3632	45	38	of	of	ADP
american_scientific_journal-3632	45	39	goods	good	NOUN
american_scientific_journal-3632	45	40	and	and	CCONJ
american_scientific_journal-3632	45	41	knowledge	knowledge	NOUN
american_scientific_journal-3632	45	42	:	:	PUNCT
american_scientific_journal-3632	45	43	α	α	X
american_scientific_journal-3632	45	44	'	'	PUNCT
american_scientific_journal-3632	45	45	α	α	NOUN
american_scientific_journal-3632	45	46	α	α	NOUN
american_scientific_journal-3632	45	47	'	'	PUNCT
american_scientific_journal-3632	45	48	y(t	y(t	NOUN
american_scientific_journal-3632	45	49	)	)	PUNCT
american_scientific_journal-3632	46	1	=	=	SYM
american_scientific_journal-3632	46	2	c	c	X
american_scientific_journal-3632	46	3	(	(	PUNCT
american_scientific_journal-3632	46	4	a(t	a(t	NOUN
american_scientific_journal-3632	46	5	)	)	PUNCT
american_scientific_journal-3632	46	6	)	)	PUNCT
american_scientific_journal-3632	46	7	(	(	PUNCT
american_scientific_journal-3632	46	8	k(t	k(t	NOUN
american_scientific_journal-3632	46	9	)	)	PUNCT
american_scientific_journal-3632	46	10	)	)	PUNCT
american_scientific_journal-3632	47	1	(	(	PUNCT
american_scientific_journal-3632	47	2	l(t))y	l(t))y	PROPN
american_scientific_journal-3632	47	3	s	s	PROPN
american_scientific_journal-3632	47	4	1	1	NUM
american_scientific_journal-3632	47	5	ηξ	ηξ	NOUN
american_scientific_journal-3632	47	6	1+θ	1+θ	NUM
american_scientific_journal-3632	47	7	a(t	a(t	NOUN
american_scientific_journal-3632	47	8	)	)	PUNCT
american_scientific_journal-3632	48	1	=	=	SYM
american_scientific_journal-3632	48	2	c	c	X
american_scientific_journal-3632	48	3	(	(	PUNCT
american_scientific_journal-3632	48	4	k(t	k(t	NOUN
american_scientific_journal-3632	48	5	)	)	PUNCT
american_scientific_journal-3632	48	6	)	)	PUNCT
american_scientific_journal-3632	48	7	(	(	PUNCT
american_scientific_journal-3632	48	8	l(t	l(t	PROPN
american_scientific_journal-3632	48	9	)	)	PUNCT
american_scientific_journal-3632	48	10	)	)	PUNCT
american_scientific_journal-3632	49	1	(	(	PUNCT
american_scientific_journal-3632	49	2	a(t))k	a(t))k	PROPN
american_scientific_journal-3632	49	3			PRON
american_scientific_journal-3632	49	4			NUM
american_scientific_journal-3632	49	5			NOUN
american_scientific_journal-3632	49	6	we	we	PRON
american_scientific_journal-3632	49	7	retain	retain	VERB
american_scientific_journal-3632	49	8	the	the	DET
american_scientific_journal-3632	49	9	law	law	NOUN
american_scientific_journal-3632	49	10	of	of	ADP
american_scientific_journal-3632	49	11	capital	capital	NOUN
american_scientific_journal-3632	49	12	accumulation	accumulation	NOUN
american_scientific_journal-3632	49	13	used	use	VERB
american_scientific_journal-3632	49	14	by	by	ADP
american_scientific_journal-3632	49	15	[	[	X
american_scientific_journal-3632	49	16	7	7	NUM
american_scientific_journal-3632	49	17	]	]	PUNCT
american_scientific_journal-3632	49	18	,	,	PUNCT
american_scientific_journal-3632	49	19	k(t	k(t	NOUN
american_scientific_journal-3632	49	20	)	)	PUNCT
american_scientific_journal-3632	50	1	=	=	SYM
american_scientific_journal-3632	50	2	s	s	PART
american_scientific_journal-3632	50	3	f(k(t	f(k(t	NOUN
american_scientific_journal-3632	50	4	)	)	PUNCT
american_scientific_journal-3632	50	5	,	,	PUNCT
american_scientific_journal-3632	50	6	l(t	l(t	PROPN
american_scientific_journal-3632	50	7	)	)	PUNCT
american_scientific_journal-3632	50	8	)	)	PUNCT
american_scientific_journal-3632	50	9	δk(t	δk(t	NOUN
american_scientific_journal-3632	50	10	)	)	PUNCT
american_scientific_journal-3632	50	11	.	.	PUNCT
american_scientific_journal-3632	51	1	where	where	SCONJ
american_scientific_journal-3632	51	2	s	s	VERB
american_scientific_journal-3632	51	3			NOUN
american_scientific_journal-3632	51	4	[	[	X
american_scientific_journal-3632	51	5	0,1	0,1	NUM
american_scientific_journal-3632	51	6	]	]	PUNCT
american_scientific_journal-3632	51	7	is	be	AUX
american_scientific_journal-3632	51	8	the	the	DET
american_scientific_journal-3632	51	9	savings	saving	NOUN
american_scientific_journal-3632	51	10	rate	rate	NOUN
american_scientific_journal-3632	51	11	and	and	CCONJ
american_scientific_journal-3632	51	12			NUM
american_scientific_journal-3632	51	13	is	be	AUX
american_scientific_journal-3632	51	14	the	the	DET
american_scientific_journal-3632	51	15	capital	capital	NOUN
american_scientific_journal-3632	51	16	depreciation	depreciation	NOUN
american_scientific_journal-3632	51	17	rate	rate	NOUN
american_scientific_journal-3632	51	18	.	.	PUNCT
american_scientific_journal-3632	52	1	based	base	VERB
american_scientific_journal-3632	52	2	on	on	ADP
american_scientific_journal-3632	52	3	the	the	DET
american_scientific_journal-3632	52	4	knowledge	knowledge	NOUN
american_scientific_journal-3632	52	5	production	production	NOUN
american_scientific_journal-3632	52	6	function	function	NOUN
american_scientific_journal-3632	52	7	a(t	a(t	NOUN
american_scientific_journal-3632	52	8	)	)	PUNCT
american_scientific_journal-3632	52	9	and	and	CCONJ
american_scientific_journal-3632	52	10	the	the	DET
american_scientific_journal-3632	52	11	capital	capital	NOUN
american_scientific_journal-3632	52	12	accumulation	accumulation	NOUN
american_scientific_journal-3632	52	13	law	law	NOUN
american_scientific_journal-3632	52	14	,	,	PUNCT
american_scientific_journal-3632	52	15	we	we	PRON
american_scientific_journal-3632	52	16	are	be	AUX
american_scientific_journal-3632	52	17	studying	study	VERB
american_scientific_journal-3632	52	18	the	the	DET
american_scientific_journal-3632	52	19	nature	nature	NOUN
american_scientific_journal-3632	52	20	of	of	ADP
american_scientific_journal-3632	52	21	the	the	DET
american_scientific_journal-3632	52	22	dynamics	dynamic	NOUN
american_scientific_journal-3632	52	23	of	of	ADP
american_scientific_journal-3632	52	24	the	the	DET
american_scientific_journal-3632	52	25	link	link	NOUN
american_scientific_journal-3632	52	26	existing	exist	VERB
american_scientific_journal-3632	52	27	between	between	ADP
american_scientific_journal-3632	52	28	the	the	DET
american_scientific_journal-3632	52	29	knowledge	knowledge	NOUN
american_scientific_journal-3632	52	30	stock	stock	NOUN
american_scientific_journal-3632	52	31	growth	growth	NOUN
american_scientific_journal-3632	52	32	rate	rate	NOUN
american_scientific_journal-3632	52	33	a(t	a(t	NOUN
american_scientific_journal-3632	52	34	)	)	PUNCT
american_scientific_journal-3632	52	35	x(t	x(t	PROPN
american_scientific_journal-3632	52	36	)	)	PUNCT
american_scientific_journal-3632	52	37	=	=	SYM
american_scientific_journal-3632	53	1	a(t	a(t	NOUN
american_scientific_journal-3632	53	2	)	)	PUNCT
american_scientific_journal-3632	53	3	and	and	CCONJ
american_scientific_journal-3632	53	4	the	the	DET
american_scientific_journal-3632	53	5	capital	capital	NOUN
american_scientific_journal-3632	53	6	growth	growth	NOUN
american_scientific_journal-3632	53	7	rate	rate	NOUN
american_scientific_journal-3632	53	8	k(t	k(t	PROPN
american_scientific_journal-3632	53	9	)	)	PUNCT
american_scientific_journal-3632	53	10	sy(t	sy(t	NOUN
american_scientific_journal-3632	53	11	)	)	PUNCT
american_scientific_journal-3632	53	12	δk(t	δk(t	NOUN
american_scientific_journal-3632	53	13	)	)	PUNCT
american_scientific_journal-3632	53	14	y(t	y(t	NUM
american_scientific_journal-3632	53	15	)	)	PUNCT
american_scientific_journal-3632	53	16	=	=	PUNCT
american_scientific_journal-3632	54	1	=	=	PUNCT
american_scientific_journal-3632	54	2	k(t	k(t	X
american_scientific_journal-3632	54	3	)	)	PUNCT
american_scientific_journal-3632	54	4	k(t	k(t	NOUN
american_scientific_journal-3632	54	5	)	)	PUNCT
american_scientific_journal-3632	54	6	.	.	PUNCT
american_scientific_journal-3632	55	1	unlike	unlike	ADP
american_scientific_journal-3632	55	2	most	most	ADJ
american_scientific_journal-3632	55	3	works	work	NOUN
american_scientific_journal-3632	55	4	,	,	PUNCT
american_scientific_journal-3632	55	5	we	we	PRON
american_scientific_journal-3632	55	6	assume	assume	VERB
american_scientific_journal-3632	55	7	that	that	SCONJ
american_scientific_journal-3632	55	8	the	the	DET
american_scientific_journal-3632	55	9	labor	labor	NOUN
american_scientific_journal-3632	55	10	force	force	NOUN
american_scientific_journal-3632	55	11	grows	grow	VERB
american_scientific_journal-3632	55	12	according	accord	VERB
american_scientific_journal-3632	55	13	to	to	ADP
american_scientific_journal-3632	55	14	l(t	l(t	PROPN
american_scientific_journal-3632	55	15	)	)	PUNCT
american_scientific_journal-3632	55	16	n(t	n(t	NOUN
american_scientific_journal-3632	55	17	)	)	PUNCT
american_scientific_journal-3632	55	18	=	=	PUNCT
american_scientific_journal-3632	55	19	>	>	X
american_scientific_journal-3632	55	20	0	0	NUM
american_scientific_journal-3632	55	21	l(t	l(t	PROPN
american_scientific_journal-3632	55	22	)	)	PUNCT
american_scientific_journal-3632	55	23	which	which	PRON
american_scientific_journal-3632	55	24	converges	converge	VERB
american_scientific_journal-3632	55	25	to	to	ADP
american_scientific_journal-3632	55	26	the	the	DET
american_scientific_journal-3632	55	27	term	term	NOUN
american_scientific_journal-3632	55	28	n	n	NOUN
american_scientific_journal-3632	55	29			NUM
american_scientific_journal-3632	55	30	0	0	NUM
american_scientific_journal-3632	55	31	when	when	SCONJ
american_scientific_journal-3632	55	32	t	t	PROPN
american_scientific_journal-3632	55	33	tends	tend	VERB
american_scientific_journal-3632	55	34	towards	towards	ADP
american_scientific_journal-3632	55	35	+	+	ADP
american_scientific_journal-3632	55	36	.	.	ADV
american_scientific_journal-3632	55	37	we	we	PRON
american_scientific_journal-3632	55	38	also	also	ADV
american_scientific_journal-3632	55	39	retain	retain	VERB
american_scientific_journal-3632	55	40	the	the	DET
american_scientific_journal-3632	55	41	fact	fact	NOUN
american_scientific_journal-3632	55	42	that	that	SCONJ
american_scientific_journal-3632	55	43	n(t	n(t	NOUN
american_scientific_journal-3632	55	44	)	)	PUNCT
american_scientific_journal-3632	55	45	n	n	NOUN
american_scientific_journal-3632	55	46	verifies	verifie	NOUN
american_scientific_journal-3632	55	47	the	the	DET
american_scientific_journal-3632	55	48	following	follow	VERB
american_scientific_journal-3632	55	49	hypothesis	hypothesis	NOUN
american_scientific_journal-3632	55	50	:	:	PUNCT
american_scientific_journal-3632	55	51	2	2	NUM
american_scientific_journal-3632	55	52	+	+	CCONJ
american_scientific_journal-3632	55	53	(	(	PUNCT
american_scientific_journal-3632	55	54	n(t	n(t	PROPN
american_scientific_journal-3632	55	55	)	)	PUNCT
american_scientific_journal-3632	55	56	n	n	CCONJ
american_scientific_journal-3632	55	57	)	)	PUNCT
american_scientific_journal-3632	55	58	dt0	dt0	NOUN
american_scientific_journal-3632	55	59			NOUN
american_scientific_journal-3632	55	60			PUNCT
american_scientific_journal-3632	55	61			NOUN
american_scientific_journal-3632	55	62	converge	converge	VERB
american_scientific_journal-3632	55	63	.	.	PUNCT
american_scientific_journal-3632	56	1	by	by	ADP
american_scientific_journal-3632	56	2	replacing	replace	VERB
american_scientific_journal-3632	56	3	the	the	DET
american_scientific_journal-3632	56	4	knowledge	knowledge	NOUN
american_scientific_journal-3632	56	5	stock	stock	NOUN
american_scientific_journal-3632	56	6	growth	growth	NOUN
american_scientific_journal-3632	56	7	rate	rate	NOUN
american_scientific_journal-3632	56	8	with	with	ADP
american_scientific_journal-3632	56	9	its	its	PRON
american_scientific_journal-3632	56	10	value	value	NOUN
american_scientific_journal-3632	56	11	in	in	ADP
american_scientific_journal-3632	56	12	(	(	PUNCT
american_scientific_journal-3632	56	13	2	2	NUM
american_scientific_journal-3632	56	14	)	)	PUNCT
american_scientific_journal-3632	56	15	,	,	PUNCT
american_scientific_journal-3632	56	16	we	we	PRON
american_scientific_journal-3632	56	17	obtain	obtain	VERB
american_scientific_journal-3632	56	18	the	the	DET
american_scientific_journal-3632	56	19	following	follow	VERB
american_scientific_journal-3632	56	20	outcome	outcome	NOUN
american_scientific_journal-3632	56	21	:	:	PUNCT
american_scientific_journal-3632	56	22	a(t	a(t	NOUN
american_scientific_journal-3632	56	23	)	)	PUNCT
american_scientific_journal-3632	56	24	ηξ	ηξ	PART
american_scientific_journal-3632	56	25	θ	θ	PROPN
american_scientific_journal-3632	56	26	x(t	x(t	PROPN
american_scientific_journal-3632	56	27	)	)	PUNCT
american_scientific_journal-3632	56	28	=	=	PUNCT
american_scientific_journal-3632	57	1	=	=	PUNCT
american_scientific_journal-3632	57	2	c	c	X
american_scientific_journal-3632	57	3	(	(	PUNCT
american_scientific_journal-3632	57	4	k(t	k(t	NOUN
american_scientific_journal-3632	57	5	)	)	PUNCT
american_scientific_journal-3632	57	6	)	)	PUNCT
american_scientific_journal-3632	57	7	(	(	PUNCT
american_scientific_journal-3632	57	8	l(t	l(t	PROPN
american_scientific_journal-3632	57	9	)	)	PUNCT
american_scientific_journal-3632	57	10	)	)	PUNCT
american_scientific_journal-3632	57	11	(	(	PUNCT
american_scientific_journal-3632	57	12	a(t	a(t	NOUN
american_scientific_journal-3632	57	13	)	)	PUNCT
american_scientific_journal-3632	57	14	)	)	PUNCT
american_scientific_journal-3632	58	1	k	k	X
american_scientific_journal-3632	58	2	a(t	a(t	NOUN
american_scientific_journal-3632	58	3	)	)	PUNCT
american_scientific_journal-3632	58	4	(	(	PUNCT
american_scientific_journal-3632	58	5	3	3	X
american_scientific_journal-3632	58	6	)	)	PUNCT
american_scientific_journal-3632	58	7	we	we	PRON
american_scientific_journal-3632	58	8	draw	draw	VERB
american_scientific_journal-3632	58	9	from	from	ADP
american_scientific_journal-3632	58	10	this	this	PRON
american_scientific_journal-3632	58	11	,	,	PUNCT
american_scientific_journal-3632	58	12	the	the	DET
american_scientific_journal-3632	58	13	algorithm	algorithm	NOUN
american_scientific_journal-3632	58	14	,	,	PUNCT
american_scientific_journal-3632	58	15	ln(x(t	ln(x(t	PROPN
american_scientific_journal-3632	58	16	)	)	PUNCT
american_scientific_journal-3632	58	17	)	)	PUNCT
american_scientific_journal-3632	58	18	=	=	PUNCT
american_scientific_journal-3632	59	1	ln(ck	ln(ck	ADJ
american_scientific_journal-3632	59	2	)	)	PUNCT
american_scientific_journal-3632	60	1	+	+	CCONJ
american_scientific_journal-3632	60	2			X
american_scientific_journal-3632	60	3	ln(k(t	ln(k(t	NOUN
american_scientific_journal-3632	60	4	)	)	PUNCT
american_scientific_journal-3632	60	5	)	)	PUNCT
american_scientific_journal-3632	61	1	+	+	CCONJ
american_scientific_journal-3632	61	2	ln(l(t	ln(l(t	NOUN
american_scientific_journal-3632	61	3	)	)	PUNCT
american_scientific_journal-3632	61	4	)	)	PUNCT
american_scientific_journal-3632	62	1	+	+	CCONJ
american_scientific_journal-3632	62	2			PROPN
american_scientific_journal-3632	62	3	ln(a(t	ln(a(t	NOUN
american_scientific_journal-3632	62	4	)	)	PUNCT
american_scientific_journal-3632	62	5	)	)	PUNCT
american_scientific_journal-3632	62	6	(	(	PUNCT
american_scientific_journal-3632	62	7	4	4	X
american_scientific_journal-3632	62	8	)	)	PUNCT
american_scientific_journal-3632	62	9	4	4	NUM
american_scientific_journal-3632	62	10	similarly	similarly	ADV
american_scientific_journal-3632	62	11	to	to	ADP
american_scientific_journal-3632	62	12	[	[	X
american_scientific_journal-3632	62	13	27	27	NUM
american_scientific_journal-3632	62	14	]	]	PUNCT
american_scientific_journal-3632	62	15	and	and	CCONJ
american_scientific_journal-3632	62	16	[	[	X
american_scientific_journal-3632	62	17	28	28	NUM
american_scientific_journal-3632	62	18	]	]	X
american_scientific_journal-3632	62	19	we	we	PRON
american_scientific_journal-3632	62	20	are	be	AUX
american_scientific_journal-3632	62	21	using	use	VERB
american_scientific_journal-3632	62	22	the	the	DET
american_scientific_journal-3632	62	23	cobb	cobb	PROPN
american_scientific_journal-3632	62	24	douglas	douglas	PROPN
american_scientific_journal-3632	62	25	specification	specification	PROPN
american_scientific_journal-3632	62	26	for	for	ADP
american_scientific_journal-3632	62	27	the	the	DET
american_scientific_journal-3632	62	28	function	function	NOUN
american_scientific_journal-3632	62	29	of	of	ADP
american_scientific_journal-3632	62	30	knowledge	knowledge	NOUN
american_scientific_journal-3632	62	31	production	production	NOUN
american_scientific_journal-3632	62	32	.	.	PUNCT
american_scientific_journal-3632	63	1	american	american	ADJ
american_scientific_journal-3632	63	2	scientific	scientific	ADJ
american_scientific_journal-3632	63	3	research	research	PROPN
american_scientific_journal-3632	63	4	journal	journal	NOUN
american_scientific_journal-3632	63	5	for	for	ADP
american_scientific_journal-3632	63	6	engineering	engineering	NOUN
american_scientific_journal-3632	63	7	,	,	PUNCT
american_scientific_journal-3632	63	8	technology	technology	NOUN
american_scientific_journal-3632	63	9	,	,	PUNCT
american_scientific_journal-3632	63	10	and	and	CCONJ
american_scientific_journal-3632	63	11	sciences	science	NOUN
american_scientific_journal-3632	63	12	(	(	PUNCT
american_scientific_journal-3632	63	13	asrjets	asrjet	NOUN
american_scientific_journal-3632	63	14	)	)	PUNCT
american_scientific_journal-3632	63	15	(	(	PUNCT
american_scientific_journal-3632	63	16	2018	2018	NUM
american_scientific_journal-3632	63	17	)	)	PUNCT
american_scientific_journal-3632	63	18	volume	volume	NOUN
american_scientific_journal-3632	63	19	39	39	NUM
american_scientific_journal-3632	63	20	,	,	PUNCT
american_scientific_journal-3632	63	21	no	no	DET
american_scientific_journal-3632	63	22	1	1	NUM
american_scientific_journal-3632	63	23	,	,	PUNCT
american_scientific_journal-3632	63	24	pp	pp	ADJ
american_scientific_journal-3632	63	25	138	138	NUM
american_scientific_journal-3632	63	26	-	-	SYM
american_scientific_journal-3632	63	27	158	158	NUM
american_scientific_journal-3632	63	28	141	141	NUM
american_scientific_journal-3632	63	29	a	a	DET
american_scientific_journal-3632	63	30	derivative	derivative	NOUN
american_scientific_journal-3632	63	31	with	with	ADP
american_scientific_journal-3632	63	32	respect	respect	NOUN
american_scientific_journal-3632	63	33	to	to	ADP
american_scientific_journal-3632	63	34	the	the	DET
american_scientific_journal-3632	63	35	time	time	NOUN
american_scientific_journal-3632	63	36	of	of	ADP
american_scientific_journal-3632	63	37	the	the	DET
american_scientific_journal-3632	63	38	relationship	relationship	NOUN
american_scientific_journal-3632	63	39	(	(	PUNCT
american_scientific_journal-3632	63	40	4	4	X
american_scientific_journal-3632	63	41	)	)	PUNCT
american_scientific_journal-3632	63	42	allows	allow	VERB
american_scientific_journal-3632	63	43	us	we	PRON
american_scientific_journal-3632	63	44	to	to	PART
american_scientific_journal-3632	63	45	write	write	VERB
american_scientific_journal-3632	63	46	:	:	PUNCT
american_scientific_journal-3632	63	47			ADJ
american_scientific_journal-3632	63	48			PROPN
american_scientific_journal-3632	63	49	d	d	PROPN
american_scientific_journal-3632	63	50	x(t	x(t	PROPN
american_scientific_journal-3632	63	51	)	)	PUNCT
american_scientific_journal-3632	63	52	k(t	k(t	PROPN
american_scientific_journal-3632	63	53	)	)	PUNCT
american_scientific_journal-3632	63	54	l(t	l(t	PROPN
american_scientific_journal-3632	63	55	)	)	PUNCT
american_scientific_journal-3632	63	56	a(t	a(t	NOUN
american_scientific_journal-3632	63	57	)	)	PUNCT
american_scientific_journal-3632	63	58	ln(x(t	ln(x(t	NOUN
american_scientific_journal-3632	63	59	)	)	PUNCT
american_scientific_journal-3632	63	60	)	)	PUNCT
american_scientific_journal-3632	64	1	=	=	PUNCT
american_scientific_journal-3632	65	1	=	=	SYM
american_scientific_journal-3632	65	2	ξ	ξ	PROPN
american_scientific_journal-3632	65	3	+	+	PUNCT
american_scientific_journal-3632	65	4	η	η	PROPN
american_scientific_journal-3632	65	5	+	+	PROPN
american_scientific_journal-3632	65	6	θ	θ	PROPN
american_scientific_journal-3632	65	7	dt	dt	X
american_scientific_journal-3632	65	8	x(t	x(t	PROPN
american_scientific_journal-3632	65	9	)	)	PUNCT
american_scientific_journal-3632	65	10	k(t	k(t	PROPN
american_scientific_journal-3632	65	11	)	)	PUNCT
american_scientific_journal-3632	65	12	l(t	l(t	PROPN
american_scientific_journal-3632	65	13	)	)	PUNCT
american_scientific_journal-3632	65	14	a(t	a(t	NOUN
american_scientific_journal-3632	65	15	)	)	PUNCT
american_scientific_journal-3632	65	16	thus	thus	ADV
american_scientific_journal-3632	65	17	,	,	PUNCT
american_scientific_journal-3632	65	18	the	the	DET
american_scientific_journal-3632	65	19	variation	variation	NOUN
american_scientific_journal-3632	65	20	of	of	ADP
american_scientific_journal-3632	65	21	the	the	DET
american_scientific_journal-3632	65	22	knowledge	knowledge	NOUN
american_scientific_journal-3632	65	23	growth	growth	NOUN
american_scientific_journal-3632	65	24	rate	rate	NOUN
american_scientific_journal-3632	65	25	takes	take	VERB
american_scientific_journal-3632	65	26	the	the	DET
american_scientific_journal-3632	65	27	following	follow	VERB
american_scientific_journal-3632	65	28	form	form	NOUN
american_scientific_journal-3632	65	29	:	:	PUNCT
american_scientific_journal-3632	65	30			ADJ
american_scientific_journal-3632	65	31	x(t	x(t	PROPN
american_scientific_journal-3632	65	32	)	)	PUNCT
american_scientific_journal-3632	65	33	=	=	SYM
american_scientific_journal-3632	66	1	x(t	x(t	PROPN
american_scientific_journal-3632	66	2	)	)	PUNCT
american_scientific_journal-3632	66	3	ξ	ξ	NOUN
american_scientific_journal-3632	66	4	y(t)+θ	y(t)+θ	NOUN
american_scientific_journal-3632	66	5	x(t)+	x(t)+	PROPN
american_scientific_journal-3632	66	6	η	η	PROPN
american_scientific_journal-3632	66	7	n(t	n(t	PROPN
american_scientific_journal-3632	66	8	)	)	PUNCT
american_scientific_journal-3632	66	9	(	(	PUNCT
american_scientific_journal-3632	66	10	5	5	X
american_scientific_journal-3632	66	11	)	)	PUNCT
american_scientific_journal-3632	66	12	proceeding	proceeding	NOUN
american_scientific_journal-3632	66	13	in	in	ADP
american_scientific_journal-3632	66	14	the	the	DET
american_scientific_journal-3632	66	15	same	same	ADJ
american_scientific_journal-3632	66	16	manner	manner	NOUN
american_scientific_journal-3632	66	17	as	as	ADP
american_scientific_journal-3632	66	18	before	before	ADV
american_scientific_journal-3632	66	19	,	,	PUNCT
american_scientific_journal-3632	66	20	we	we	PRON
american_scientific_journal-3632	66	21	obtain	obtain	VERB
american_scientific_journal-3632	66	22	the	the	DET
american_scientific_journal-3632	66	23	equation	equation	NOUN
american_scientific_journal-3632	66	24	which	which	PRON
american_scientific_journal-3632	66	25	represents	represent	VERB
american_scientific_journal-3632	66	26	the	the	DET
american_scientific_journal-3632	66	27	variation	variation	NOUN
american_scientific_journal-3632	66	28	of	of	ADP
american_scientific_journal-3632	66	29	the	the	DET
american_scientific_journal-3632	66	30	capital	capital	NOUN
american_scientific_journal-3632	66	31	stock	stock	NOUN
american_scientific_journal-3632	66	32	growth	growth	NOUN
american_scientific_journal-3632	66	33	rate	rate	NOUN
american_scientific_journal-3632	66	34	:	:	PUNCT
american_scientific_journal-3632	66	35			ADJ
american_scientific_journal-3632	66	36			NOUN
american_scientific_journal-3632	66	37	y(t	y(t	NUM
american_scientific_journal-3632	66	38	)	)	PUNCT
american_scientific_journal-3632	67	1	=	=	PRON
american_scientific_journal-3632	67	2	(	(	PUNCT
american_scientific_journal-3632	67	3	y(t)+δ	y(t)+δ	NOUN
american_scientific_journal-3632	67	4	)	)	PUNCT
american_scientific_journal-3632	67	5	α	α	X
american_scientific_journal-3632	67	6	'	'	PART
american_scientific_journal-3632	67	7	x(t	x(t	PROPN
american_scientific_journal-3632	67	8	)	)	PUNCT
american_scientific_journal-3632	67	9	y(t)+	y(t)+	NOUN
american_scientific_journal-3632	67	10	n(t	n(t	PROPN
american_scientific_journal-3632	67	11	)	)	PUNCT
american_scientific_journal-3632	67	12	(	(	PUNCT
american_scientific_journal-3632	67	13	6	6	X
american_scientific_journal-3632	67	14	)	)	PUNCT
american_scientific_journal-3632	67	15	the	the	DET
american_scientific_journal-3632	67	16	equations	equation	NOUN
american_scientific_journal-3632	67	17	(	(	PUNCT
american_scientific_journal-3632	67	18	5	5	NUM
american_scientific_journal-3632	67	19	)	)	PUNCT
american_scientific_journal-3632	67	20	and	and	CCONJ
american_scientific_journal-3632	67	21	(	(	PUNCT
american_scientific_journal-3632	67	22	6	6	X
american_scientific_journal-3632	67	23	)	)	PUNCT
american_scientific_journal-3632	67	24	enable	enable	VERB
american_scientific_journal-3632	67	25	us	we	PRON
american_scientific_journal-3632	67	26	to	to	PART
american_scientific_journal-3632	67	27	therefore	therefore	ADV
american_scientific_journal-3632	67	28	acquire	acquire	VERB
american_scientific_journal-3632	67	29	the	the	DET
american_scientific_journal-3632	67	30	following	follow	VERB
american_scientific_journal-3632	67	31	system	system	NOUN
american_scientific_journal-3632	67	32	:	:	PUNCT
american_scientific_journal-3632	67	33			ADJ
american_scientific_journal-3632	67	34			ADP
american_scientific_journal-3632	67	35			PROPN
american_scientific_journal-3632	67	36			ADP
american_scientific_journal-3632	67	37	x(t	x(t	PROPN
american_scientific_journal-3632	67	38	)	)	PUNCT
american_scientific_journal-3632	67	39	=	=	SYM
american_scientific_journal-3632	68	1	x(t	x(t	PROPN
american_scientific_journal-3632	68	2	)	)	PUNCT
american_scientific_journal-3632	68	3	θ	θ	PROPN
american_scientific_journal-3632	68	4	x(t)+	x(t)+	PROPN
american_scientific_journal-3632	68	5	ξ	ξ	SYM
american_scientific_journal-3632	68	6	y(t)+	y(t)+	PROPN
american_scientific_journal-3632	68	7	η	η	PROPN
american_scientific_journal-3632	68	8	n(t	n(t	PROPN
american_scientific_journal-3632	68	9	)	)	PUNCT
american_scientific_journal-3632	68	10	s	s	PART
american_scientific_journal-3632	68	11	2	2	NUM
american_scientific_journal-3632	68	12	y(t	y(t	NUM
american_scientific_journal-3632	68	13	)	)	PUNCT
american_scientific_journal-3632	68	14	=	=	PUNCT
american_scientific_journal-3632	68	15	α'(y(t)+	α'(y(t)+	PROPN
american_scientific_journal-3632	68	16	δ	δ	PROPN
american_scientific_journal-3632	68	17	)	)	PUNCT
american_scientific_journal-3632	68	18	x(t	x(t	PROPN
american_scientific_journal-3632	68	19	)	)	PUNCT
american_scientific_journal-3632	68	20	y(t)+	y(t)+	NOUN
american_scientific_journal-3632	68	21	n(t	n(t	PROPN
american_scientific_journal-3632	68	22	)	)	PUNCT
american_scientific_journal-3632	68	23			ADP
american_scientific_journal-3632	69	1			NOUN
american_scientific_journal-3632	69	2			VERB
american_scientific_journal-3632	69	3	the	the	DET
american_scientific_journal-3632	69	4	interaction	interaction	NOUN
american_scientific_journal-3632	69	5	of	of	ADP
american_scientific_journal-3632	69	6	the	the	DET
american_scientific_journal-3632	69	7	three	three	NUM
american_scientific_journal-3632	69	8	economic	economic	ADJ
american_scientific_journal-3632	69	9	variables	variable	NOUN
american_scientific_journal-3632	69	10	:	:	PUNCT
american_scientific_journal-3632	69	11	the	the	DET
american_scientific_journal-3632	69	12	capital	capital	NOUN
american_scientific_journal-3632	69	13	accumulation	accumulation	NOUN
american_scientific_journal-3632	69	14	growth	growth	NOUN
american_scientific_journal-3632	69	15	rate	rate	NOUN
american_scientific_journal-3632	69	16	,	,	PUNCT
american_scientific_journal-3632	69	17	the	the	DET
american_scientific_journal-3632	69	18	technological	technological	ADJ
american_scientific_journal-3632	69	19	progress	progress	NOUN
american_scientific_journal-3632	69	20	growth	growth	NOUN
american_scientific_journal-3632	69	21	rate	rate	NOUN
american_scientific_journal-3632	69	22	and	and	CCONJ
american_scientific_journal-3632	69	23	the	the	DET
american_scientific_journal-3632	69	24	labor	labor	NOUN
american_scientific_journal-3632	69	25	investment	investment	NOUN
american_scientific_journal-3632	69	26	growth	growth	NOUN
american_scientific_journal-3632	69	27	rate	rate	NOUN
american_scientific_journal-3632	69	28	is	be	AUX
american_scientific_journal-3632	69	29	thus	thus	ADV
american_scientific_journal-3632	69	30	expressed	express	VERB
american_scientific_journal-3632	69	31	by	by	ADP
american_scientific_journal-3632	69	32	the	the	DET
american_scientific_journal-3632	69	33	system	system	NOUN
american_scientific_journal-3632	69	34	s2	s2	PROPN
american_scientific_journal-3632	69	35	.	.	PUNCT
american_scientific_journal-3632	70	1	we	we	PRON
american_scientific_journal-3632	70	2	ascertain	ascertain	VERB
american_scientific_journal-3632	70	3	that	that	SCONJ
american_scientific_journal-3632	70	4	this	this	DET
american_scientific_journal-3632	70	5	rule	rule	NOUN
american_scientific_journal-3632	70	6	represents	represent	VERB
american_scientific_journal-3632	70	7	a	a	DET
american_scientific_journal-3632	70	8	modified	modify	VERB
american_scientific_journal-3632	70	9	version	version	NOUN
american_scientific_journal-3632	70	10	of	of	ADP
american_scientific_journal-3632	70	11	the	the	DET
american_scientific_journal-3632	70	12	lotka	lotka	PROPN
american_scientific_journal-3632	70	13	volterra	volterra	PROPN
american_scientific_journal-3632	70	14	’s	’s	PART
american_scientific_journal-3632	70	15	prey	prey	NOUN
american_scientific_journal-3632	70	16	-	-	PUNCT
american_scientific_journal-3632	70	17	predator	predator	NOUN
american_scientific_journal-3632	70	18	model5	model5	NOUN
american_scientific_journal-3632	70	19	which	which	PRON
american_scientific_journal-3632	70	20	constitutes	constitute	VERB
american_scientific_journal-3632	70	21	a	a	DET
american_scientific_journal-3632	70	22	relatively	relatively	ADV
american_scientific_journal-3632	70	23	simple	simple	ADJ
american_scientific_journal-3632	70	24	description	description	NOUN
american_scientific_journal-3632	70	25	of	of	ADP
american_scientific_journal-3632	70	26	the	the	DET
american_scientific_journal-3632	70	27	interaction	interaction	NOUN
american_scientific_journal-3632	70	28	between	between	ADP
american_scientific_journal-3632	70	29	two	two	NUM
american_scientific_journal-3632	70	30	species	specie	NOUN
american_scientific_journal-3632	70	31	or	or	CCONJ
american_scientific_journal-3632	70	32	populations	population	NOUN
american_scientific_journal-3632	70	33	[	[	X
american_scientific_journal-3632	70	34	8	8	NUM
american_scientific_journal-3632	70	35	,	,	PUNCT
american_scientific_journal-3632	70	36	9	9	NUM
american_scientific_journal-3632	70	37	,	,	PUNCT
american_scientific_journal-3632	70	38	10	10	NUM
american_scientific_journal-3632	70	39	]	]	PUNCT
american_scientific_journal-3632	70	40	.	.	PUNCT
american_scientific_journal-3632	71	1	after	after	ADP
american_scientific_journal-3632	71	2	its	its	PRON
american_scientific_journal-3632	71	3	use	use	NOUN
american_scientific_journal-3632	71	4	in	in	ADP
american_scientific_journal-3632	71	5	mathematics	mathematic	NOUN
american_scientific_journal-3632	71	6	and	and	CCONJ
american_scientific_journal-3632	71	7	biology	biology	NOUN
american_scientific_journal-3632	71	8	,	,	PUNCT
american_scientific_journal-3632	71	9	this	this	DET
american_scientific_journal-3632	71	10	type	type	NOUN
american_scientific_journal-3632	71	11	of	of	ADP
american_scientific_journal-3632	71	12	equation	equation	NOUN
american_scientific_journal-3632	71	13	system	system	NOUN
american_scientific_journal-3632	71	14	has	have	AUX
american_scientific_journal-3632	71	15	been	be	AUX
american_scientific_journal-3632	71	16	very	very	ADV
american_scientific_journal-3632	71	17	successful	successful	ADJ
american_scientific_journal-3632	71	18	in	in	ADP
american_scientific_journal-3632	71	19	economics	economic	NOUN
american_scientific_journal-3632	71	20	and	and	CCONJ
american_scientific_journal-3632	71	21	management	management	NOUN
american_scientific_journal-3632	71	22	since	since	SCONJ
american_scientific_journal-3632	71	23	it	it	PRON
american_scientific_journal-3632	71	24	is	be	AUX
american_scientific_journal-3632	71	25	considered	consider	VERB
american_scientific_journal-3632	71	26	a	a	DET
american_scientific_journal-3632	71	27	simple	simple	ADJ
american_scientific_journal-3632	71	28	model	model	NOUN
american_scientific_journal-3632	71	29	for	for	ADP
american_scientific_journal-3632	71	30	the	the	DET
american_scientific_journal-3632	71	31	treatment	treatment	NOUN
american_scientific_journal-3632	71	32	of	of	ADP
american_scientific_journal-3632	71	33	fairly	fairly	ADV
american_scientific_journal-3632	71	34	complex	complex	ADJ
american_scientific_journal-3632	71	35	phenomena	phenomenon	NOUN
american_scientific_journal-3632	71	36	such	such	ADJ
american_scientific_journal-3632	71	37	as	as	ADP
american_scientific_journal-3632	71	38	technological	technological	ADJ
american_scientific_journal-3632	71	39	substitution	substitution	NOUN
american_scientific_journal-3632	71	40	[	[	X
american_scientific_journal-3632	71	41	11	11	NUM
american_scientific_journal-3632	71	42	]	]	PUNCT
american_scientific_journal-3632	71	43	or	or	CCONJ
american_scientific_journal-3632	71	44	organizational	organizational	ADJ
american_scientific_journal-3632	71	45	evolution	evolution	NOUN
american_scientific_journal-3632	71	46	[	[	X
american_scientific_journal-3632	71	47	12	12	NUM
american_scientific_journal-3632	71	48	]	]	PUNCT
american_scientific_journal-3632	71	49	.	.	PUNCT
american_scientific_journal-3632	72	1	with	with	ADP
american_scientific_journal-3632	72	2	the	the	DET
american_scientific_journal-3632	72	3	help	help	NOUN
american_scientific_journal-3632	72	4	of	of	ADP
american_scientific_journal-3632	72	5	the	the	DET
american_scientific_journal-3632	72	6	lotka	lotka	PROPN
american_scientific_journal-3632	72	7	volterra	volterra	PROPN
american_scientific_journal-3632	72	8	equation	equation	NOUN
american_scientific_journal-3632	72	9	rules	rule	NOUN
american_scientific_journal-3632	72	10	,	,	PUNCT
american_scientific_journal-3632	72	11	the	the	DET
american_scientific_journal-3632	72	12	authors	author	NOUN
american_scientific_journal-3632	72	13	in	in	ADP
american_scientific_journal-3632	72	14	[	[	X
american_scientific_journal-3632	72	15	13	13	NUM
american_scientific_journal-3632	72	16	]	]	PUNCT
american_scientific_journal-3632	72	17	analyzed	analyze	VERB
american_scientific_journal-3632	72	18	the	the	DET
american_scientific_journal-3632	72	19	competitive	competitive	ADJ
american_scientific_journal-3632	72	20	dynamic	dynamic	ADJ
american_scientific_journal-3632	72	21	relationship	relationship	NOUN
american_scientific_journal-3632	72	22	of	of	ADP
american_scientific_journal-3632	72	23	the	the	DET
american_scientific_journal-3632	72	24	korean	korean	ADJ
american_scientific_journal-3632	72	25	stock	stock	NOUN
american_scientific_journal-3632	72	26	market	market	NOUN
american_scientific_journal-3632	72	27	and	and	CCONJ
american_scientific_journal-3632	72	28	confirmed	confirm	VERB
american_scientific_journal-3632	72	29	that	that	SCONJ
american_scientific_journal-3632	72	30	competitive	competitive	ADJ
american_scientific_journal-3632	72	31	roles	role	NOUN
american_scientific_journal-3632	72	32	change	change	VERB
american_scientific_journal-3632	72	33	with	with	ADP
american_scientific_journal-3632	72	34	time	time	NOUN
american_scientific_journal-3632	72	35	.	.	PUNCT
american_scientific_journal-3632	73	1	in	in	ADP
american_scientific_journal-3632	73	2	[	[	X
american_scientific_journal-3632	73	3	14	14	NUM
american_scientific_journal-3632	73	4	]	]	PUNCT
american_scientific_journal-3632	73	5	the	the	DET
american_scientific_journal-3632	73	6	author	author	NOUN
american_scientific_journal-3632	73	7	explored	explore	VERB
american_scientific_journal-3632	73	8	the	the	DET
american_scientific_journal-3632	73	9	effects	effect	NOUN
american_scientific_journal-3632	73	10	of	of	ADP
american_scientific_journal-3632	73	11	convergence	convergence	NOUN
american_scientific_journal-3632	73	12	between	between	ADP
american_scientific_journal-3632	73	13	websites	website	NOUN
american_scientific_journal-3632	73	14	and	and	CCONJ
american_scientific_journal-3632	73	15	the	the	DET
american_scientific_journal-3632	73	16	manner	manner	NOUN
american_scientific_journal-3632	73	17	in	in	ADP
american_scientific_journal-3632	73	18	which	which	PRON
american_scientific_journal-3632	73	19	they	they	PRON
american_scientific_journal-3632	73	20	affect	affect	VERB
american_scientific_journal-3632	73	21	the	the	DET
american_scientific_journal-3632	73	22	market	market	NOUN
american_scientific_journal-3632	73	23	.	.	PUNCT
american_scientific_journal-3632	74	1	reference	reference	NOUN
american_scientific_journal-3632	74	2	[	[	X
american_scientific_journal-3632	74	3	15	15	NUM
american_scientific_journal-3632	74	4	]	]	PUNCT
american_scientific_journal-3632	74	5	explored	explore	VERB
american_scientific_journal-3632	74	6	the	the	DET
american_scientific_journal-3632	74	7	korean	korean	ADJ
american_scientific_journal-3632	74	8	mobile	mobile	ADJ
american_scientific_journal-3632	74	9	telephone	telephone	NOUN
american_scientific_journal-3632	74	10	market	market	NOUN
american_scientific_journal-3632	74	11	.	.	PUNCT
american_scientific_journal-3632	75	1	[	[	X
american_scientific_journal-3632	75	2	16	16	NUM
american_scientific_journal-3632	75	3	]	]	PUNCT
american_scientific_journal-3632	75	4	studied	study	VERB
american_scientific_journal-3632	75	5	the	the	DET
american_scientific_journal-3632	75	6	dynamics	dynamic	NOUN
american_scientific_journal-3632	75	7	of	of	ADP
american_scientific_journal-3632	75	8	durable	durable	ADJ
american_scientific_journal-3632	75	9	consumer	consumer	NOUN
american_scientific_journal-3632	75	10	goods	good	NOUN
american_scientific_journal-3632	75	11	.	.	PUNCT
american_scientific_journal-3632	76	1	reference	reference	NOUN
american_scientific_journal-3632	76	2	[	[	X
american_scientific_journal-3632	76	3	17	17	NUM
american_scientific_journal-3632	76	4	]	]	PUNCT
american_scientific_journal-3632	76	5	explored	explore	VERB
american_scientific_journal-3632	76	6	economic	economic	ADJ
american_scientific_journal-3632	76	7	growth	growth	NOUN
american_scientific_journal-3632	76	8	through	through	ADP
american_scientific_journal-3632	76	9	infectious	infectious	ADJ
american_scientific_journal-3632	76	10	diseases	disease	NOUN
american_scientific_journal-3632	76	11	.	.	PUNCT
american_scientific_journal-3632	77	1	the	the	DET
american_scientific_journal-3632	77	2	objective	objective	NOUN
american_scientific_journal-3632	77	3	of	of	ADP
american_scientific_journal-3632	77	4	our	our	PRON
american_scientific_journal-3632	77	5	study	study	NOUN
american_scientific_journal-3632	77	6	is	be	AUX
american_scientific_journal-3632	77	7	to	to	PART
american_scientific_journal-3632	77	8	describe	describe	VERB
american_scientific_journal-3632	77	9	,	,	PUNCT
american_scientific_journal-3632	77	10	using	use	VERB
american_scientific_journal-3632	77	11	a	a	DET
american_scientific_journal-3632	77	12	modified	modify	VERB
american_scientific_journal-3632	77	13	version	version	NOUN
american_scientific_journal-3632	77	14	of	of	ADP
american_scientific_journal-3632	77	15	lotka	lotka	PROPN
american_scientific_journal-3632	77	16	volterra	volterra	PROPN
american_scientific_journal-3632	77	17	model	model	NOUN
american_scientific_journal-3632	77	18	(	(	PUNCT
american_scientific_journal-3632	77	19	s2	s2	NOUN
american_scientific_journal-3632	77	20	system	system	NOUN
american_scientific_journal-3632	77	21	)	)	PUNCT
american_scientific_journal-3632	77	22	,	,	PUNCT
american_scientific_journal-3632	77	23	the	the	DET
american_scientific_journal-3632	77	24	nature	nature	NOUN
american_scientific_journal-3632	77	25	of	of	ADP
american_scientific_journal-3632	77	26	interaction	interaction	NOUN
american_scientific_journal-3632	77	27	between	between	ADP
american_scientific_journal-3632	77	28	key	key	ADJ
american_scientific_journal-3632	77	29	economic	economic	ADJ
american_scientific_journal-3632	77	30	variables	variable	NOUN
american_scientific_journal-3632	77	31	of	of	ADP
american_scientific_journal-3632	77	32	firm	firm	ADJ
american_scientific_journal-3632	77	33	evolution	evolution	NOUN
american_scientific_journal-3632	77	34	.	.	PUNCT
american_scientific_journal-3632	78	1	as	as	ADP
american_scientific_journal-3632	78	2	x(t	x(t	PROPN
american_scientific_journal-3632	78	3	)	)	PUNCT
american_scientific_journal-3632	78	4	x(t	x(t	PROPN
american_scientific_journal-3632	78	5	)	)	PUNCT
american_scientific_journal-3632	78	6	and	and	CCONJ
american_scientific_journal-3632	78	7	y(t	y(t	NUM
american_scientific_journal-3632	78	8	)	)	PUNCT
american_scientific_journal-3632	78	9	y(t	y(t	NUM
american_scientific_journal-3632	78	10	)	)	PUNCT
american_scientific_journal-3632	78	11	depend	depend	VERB
american_scientific_journal-3632	78	12	linearly	linearly	ADV
american_scientific_journal-3632	78	13	to	to	ADP
american_scientific_journal-3632	78	14	x	x	PROPN
american_scientific_journal-3632	78	15	and	and	CCONJ
american_scientific_journal-3632	78	16	y	y	PROPN
american_scientific_journal-3632	78	17	,	,	PUNCT
american_scientific_journal-3632	78	18	we	we	PRON
american_scientific_journal-3632	78	19	can	can	AUX
american_scientific_journal-3632	78	20	distinguish	distinguish	VERB
american_scientific_journal-3632	78	21	the	the	DET
american_scientific_journal-3632	78	22	nature	nature	NOUN
american_scientific_journal-3632	78	23	of	of	ADP
american_scientific_journal-3632	78	24	the	the	DET
american_scientific_journal-3632	78	25	evolution	evolution	NOUN
american_scientific_journal-3632	78	26	of	of	ADP
american_scientific_journal-3632	78	27	these	these	DET
american_scientific_journal-3632	78	28	variables	variable	NOUN
american_scientific_journal-3632	78	29	using	use	VERB
american_scientific_journal-3632	78	30	the	the	DET
american_scientific_journal-3632	78	31	indicated	indicate	VERB
american_scientific_journal-3632	78	32	parameters	parameter	NOUN
american_scientific_journal-3632	78	33	of	of	ADP
american_scientific_journal-3632	78	34	the	the	DET
american_scientific_journal-3632	78	35	s2	s2	NOUN
american_scientific_journal-3632	78	36	5	5	NUM
american_scientific_journal-3632	78	37	the	the	DET
american_scientific_journal-3632	78	38	equations	equation	NOUN
american_scientific_journal-3632	78	39	of	of	ADP
american_scientific_journal-3632	78	40	lotka	lotka	PROPN
american_scientific_journal-3632	78	41	volterra	volterra	NOUN
american_scientific_journal-3632	78	42	which	which	PRON
american_scientific_journal-3632	78	43	we	we	PRON
american_scientific_journal-3632	78	44	refer	refer	VERB
american_scientific_journal-3632	78	45	to	to	ADP
american_scientific_journal-3632	78	46	using	use	VERB
american_scientific_journal-3632	78	47	the	the	DET
american_scientific_journal-3632	78	48	term	term	NOUN
american_scientific_journal-3632	78	49	prey	prey	NOUN
american_scientific_journal-3632	78	50	predator	predator	NOUN
american_scientific_journal-3632	78	51	model	model	NOUN
american_scientific_journal-3632	78	52	are	be	AUX
american_scientific_journal-3632	78	53	a	a	DET
american_scientific_journal-3632	78	54	couple	couple	NOUN
american_scientific_journal-3632	78	55	of	of	ADP
american_scientific_journal-3632	78	56	non	non	ADJ
american_scientific_journal-3632	78	57	-	-	ADJ
american_scientific_journal-3632	78	58	linear	linear	ADJ
american_scientific_journal-3632	78	59	differential	differential	ADJ
american_scientific_journal-3632	78	60	equations	equation	NOUN
american_scientific_journal-3632	78	61	of	of	ADP
american_scientific_journal-3632	78	62	the	the	DET
american_scientific_journal-3632	78	63	first	first	ADJ
american_scientific_journal-3632	78	64	order	order	NOUN
american_scientific_journal-3632	78	65	and	and	CCONJ
american_scientific_journal-3632	78	66	are	be	AUX
american_scientific_journal-3632	78	67	generally	generally	ADV
american_scientific_journal-3632	78	68	used	use	VERB
american_scientific_journal-3632	78	69	to	to	PART
american_scientific_journal-3632	78	70	describe	describe	VERB
american_scientific_journal-3632	78	71	the	the	DET
american_scientific_journal-3632	78	72	dynamics	dynamic	NOUN
american_scientific_journal-3632	78	73	of	of	ADP
american_scientific_journal-3632	78	74	biological	biological	ADJ
american_scientific_journal-3632	78	75	systems	system	NOUN
american_scientific_journal-3632	78	76	in	in	ADP
american_scientific_journal-3632	78	77	which	which	PRON
american_scientific_journal-3632	78	78	a	a	DET
american_scientific_journal-3632	78	79	predator	predator	NOUN
american_scientific_journal-3632	78	80	and	and	CCONJ
american_scientific_journal-3632	78	81	its	its	PRON
american_scientific_journal-3632	78	82	prey	prey	NOUN
american_scientific_journal-3632	78	83	interact	interact	VERB
american_scientific_journal-3632	78	84	.	.	PUNCT
american_scientific_journal-3632	79	1	they	they	PRON
american_scientific_journal-3632	79	2	were	be	AUX
american_scientific_journal-3632	79	3	proposed	propose	VERB
american_scientific_journal-3632	79	4	independently	independently	ADV
american_scientific_journal-3632	79	5	by	by	ADP
american_scientific_journal-3632	79	6	the	the	DET
american_scientific_journal-3632	79	7	authors	author	NOUN
american_scientific_journal-3632	79	8	in	in	ADP
american_scientific_journal-3632	79	9	[	[	X
american_scientific_journal-3632	79	10	8	8	NUM
american_scientific_journal-3632	79	11	]	]	PUNCT
american_scientific_journal-3632	79	12	and	and	CCONJ
american_scientific_journal-3632	79	13	[	[	X
american_scientific_journal-3632	79	14	29	29	NUM
american_scientific_journal-3632	79	15	]	]	PUNCT
american_scientific_journal-3632	79	16	.	.	PUNCT
american_scientific_journal-3632	80	1	american	american	PROPN
american_scientific_journal-3632	80	2	scientific	scientific	ADJ
american_scientific_journal-3632	80	3	research	research	PROPN
american_scientific_journal-3632	80	4	journal	journal	NOUN
american_scientific_journal-3632	80	5	for	for	ADP
american_scientific_journal-3632	80	6	engineering	engineering	NOUN
american_scientific_journal-3632	80	7	,	,	PUNCT
american_scientific_journal-3632	80	8	technology	technology	NOUN
american_scientific_journal-3632	80	9	,	,	PUNCT
american_scientific_journal-3632	80	10	and	and	CCONJ
american_scientific_journal-3632	80	11	sciences	science	NOUN
american_scientific_journal-3632	80	12	(	(	PUNCT
american_scientific_journal-3632	80	13	asrjets	asrjet	NOUN
american_scientific_journal-3632	80	14	)	)	PUNCT
american_scientific_journal-3632	80	15	(	(	PUNCT
american_scientific_journal-3632	80	16	2018	2018	NUM
american_scientific_journal-3632	80	17	)	)	PUNCT
american_scientific_journal-3632	80	18	volume	volume	NOUN
american_scientific_journal-3632	80	19	39	39	NUM
american_scientific_journal-3632	80	20	,	,	PUNCT
american_scientific_journal-3632	80	21	no	no	DET
american_scientific_journal-3632	80	22	1	1	NUM
american_scientific_journal-3632	80	23	,	,	PUNCT
american_scientific_journal-3632	80	24	pp	pp	ADJ
american_scientific_journal-3632	80	25	138	138	NUM
american_scientific_journal-3632	80	26	-	-	SYM
american_scientific_journal-3632	80	27	158	158	NUM
american_scientific_journal-3632	80	28	142	142	NUM
american_scientific_journal-3632	80	29	system	system	NOUN
american_scientific_journal-3632	80	30	.	.	PUNCT
american_scientific_journal-3632	81	1	in	in	ADP
american_scientific_journal-3632	81	2	effect	effect	NOUN
american_scientific_journal-3632	81	3	,	,	PUNCT
american_scientific_journal-3632	81	4	the	the	DET
american_scientific_journal-3632	81	5	sign	sign	NOUN
american_scientific_journal-3632	81	6	of	of	ADP
american_scientific_journal-3632	81	7	parameters	parameter	NOUN
american_scientific_journal-3632	81	8			VERB
american_scientific_journal-3632	81	9	,	,	PUNCT
american_scientific_journal-3632	81	10			PROPN
american_scientific_journal-3632	81	11	and	and	CCONJ
american_scientific_journal-3632	81	12			NOUN
american_scientific_journal-3632	81	13	'	'	PART
american_scientific_journal-3632	81	14	represent	represent	VERB
american_scientific_journal-3632	81	15	an	an	DET
american_scientific_journal-3632	81	16	improvement	improvement	NOUN
american_scientific_journal-3632	81	17	in	in	ADP
american_scientific_journal-3632	81	18	growth	growth	NOUN
american_scientific_journal-3632	81	19	(	(	PUNCT
american_scientific_journal-3632	81	20	if	if	SCONJ
american_scientific_journal-3632	81	21	positive	positive	ADJ
american_scientific_journal-3632	81	22	)	)	PUNCT
american_scientific_journal-3632	81	23	,	,	PUNCT
american_scientific_journal-3632	81	24	indifference	indifference	NOUN
american_scientific_journal-3632	81	25	(	(	PUNCT
american_scientific_journal-3632	81	26	if	if	SCONJ
american_scientific_journal-3632	81	27	null	null	ADJ
american_scientific_journal-3632	81	28	)	)	PUNCT
american_scientific_journal-3632	81	29	or	or	CCONJ
american_scientific_journal-3632	81	30	the	the	DET
american_scientific_journal-3632	81	31	effect	effect	NOUN
american_scientific_journal-3632	81	32	of	of	ADP
american_scientific_journal-3632	81	33	suppression	suppression	NOUN
american_scientific_journal-3632	81	34	(	(	PUNCT
american_scientific_journal-3632	81	35	if	if	SCONJ
american_scientific_journal-3632	81	36	negative	negative	ADJ
american_scientific_journal-3632	81	37	)	)	PUNCT
american_scientific_journal-3632	81	38	of	of	ADP
american_scientific_journal-3632	81	39	a	a	DET
american_scientific_journal-3632	81	40	variable	variable	NOUN
american_scientific_journal-3632	81	41	on	on	ADP
american_scientific_journal-3632	81	42	itself	itself	PRON
american_scientific_journal-3632	81	43	or	or	CCONJ
american_scientific_journal-3632	81	44	on	on	ADP
american_scientific_journal-3632	81	45	another6	another6	PROPN
american_scientific_journal-3632	81	46	.	.	PUNCT
american_scientific_journal-3632	82	1	x²(t	x²(t	X
american_scientific_journal-3632	82	2	)	)	PUNCT
american_scientific_journal-3632	82	3	and	and	CCONJ
american_scientific_journal-3632	82	4	y²(t	y²(t	X
american_scientific_journal-3632	82	5	)	)	PUNCT
american_scientific_journal-3632	82	6	represent	represent	VERB
american_scientific_journal-3632	82	7	the	the	DET
american_scientific_journal-3632	82	8	terms	term	NOUN
american_scientific_journal-3632	82	9	of	of	ADP
american_scientific_journal-3632	82	10	self	self	NOUN
american_scientific_journal-3632	82	11	-	-	PUNCT
american_scientific_journal-3632	82	12	action	action	NOUN
american_scientific_journal-3632	82	13	which	which	PRON
american_scientific_journal-3632	82	14	generally	generally	ADV
american_scientific_journal-3632	82	15	show	show	VERB
american_scientific_journal-3632	82	16	a	a	DET
american_scientific_journal-3632	82	17	negative	negative	ADJ
american_scientific_journal-3632	82	18	feedback	feedback	NOUN
american_scientific_journal-3632	82	19	as	as	ADP
american_scientific_journal-3632	82	20	the	the	DET
american_scientific_journal-3632	82	21	parameters	parameter	NOUN
american_scientific_journal-3632	82	22			PROPN
american_scientific_journal-3632	82	23	and	and	CCONJ
american_scientific_journal-3632	82	24	-	-	PROPN
american_scientific_journal-3632	82	25	'	'	PUNCT
american_scientific_journal-3632	82	26	simply	simply	ADV
american_scientific_journal-3632	82	27	describe	describe	VERB
american_scientific_journal-3632	82	28	the	the	DET
american_scientific_journal-3632	82	29	interaction	interaction	NOUN
american_scientific_journal-3632	82	30	of	of	ADP
american_scientific_journal-3632	82	31	a	a	DET
american_scientific_journal-3632	82	32	variable	variable	NOUN
american_scientific_journal-3632	82	33	on	on	ADP
american_scientific_journal-3632	82	34	itself	itself	PRON
american_scientific_journal-3632	82	35	.	.	PUNCT
american_scientific_journal-3632	83	1	thus	thus	ADV
american_scientific_journal-3632	83	2			NOUN
american_scientific_journal-3632	83	3	refers	refer	VERB
american_scientific_journal-3632	83	4	to	to	ADP
american_scientific_journal-3632	83	5	the	the	DET
american_scientific_journal-3632	83	6	effect	effect	NOUN
american_scientific_journal-3632	83	7	of	of	ADP
american_scientific_journal-3632	83	8	an	an	DET
american_scientific_journal-3632	83	9	increase	increase	NOUN
american_scientific_journal-3632	83	10	in	in	ADP
american_scientific_journal-3632	83	11	variable	variable	ADJ
american_scientific_journal-3632	83	12	y	y	PROPN
american_scientific_journal-3632	83	13	on	on	ADP
american_scientific_journal-3632	83	14	variable	variable	ADJ
american_scientific_journal-3632	83	15	x	x	X
american_scientific_journal-3632	83	16	and	and	CCONJ
american_scientific_journal-3632	83	17			NOUN
american_scientific_journal-3632	83	18	'	'	PART
american_scientific_journal-3632	83	19	represents	represent	VERB
american_scientific_journal-3632	83	20	the	the	DET
american_scientific_journal-3632	83	21	effect	effect	NOUN
american_scientific_journal-3632	83	22	of	of	ADP
american_scientific_journal-3632	83	23	an	an	DET
american_scientific_journal-3632	83	24	increase	increase	NOUN
american_scientific_journal-3632	83	25	of	of	ADP
american_scientific_journal-3632	83	26	variable	variable	NOUN
american_scientific_journal-3632	83	27	x	x	NOUN
american_scientific_journal-3632	83	28	on	on	ADP
american_scientific_journal-3632	83	29	variable	variable	ADJ
american_scientific_journal-3632	83	30	y.	y.	NOUN
american_scientific_journal-3632	83	31	in	in	ADP
american_scientific_journal-3632	83	32	what	what	PRON
american_scientific_journal-3632	83	33	follows	follow	VERB
american_scientific_journal-3632	83	34	,	,	PUNCT
american_scientific_journal-3632	83	35	we	we	PRON
american_scientific_journal-3632	83	36	will	will	AUX
american_scientific_journal-3632	83	37	use	use	VERB
american_scientific_journal-3632	83	38	certain	certain	ADJ
american_scientific_journal-3632	83	39	classical	classical	ADJ
american_scientific_journal-3632	83	40	properties	property	NOUN
american_scientific_journal-3632	83	41	of	of	ADP
american_scientific_journal-3632	83	42	the	the	DET
american_scientific_journal-3632	83	43	s2	s2	NOUN
american_scientific_journal-3632	83	44	system	system	NOUN
american_scientific_journal-3632	83	45	to	to	PART
american_scientific_journal-3632	83	46	highlight	highlight	VERB
american_scientific_journal-3632	83	47	the	the	DET
american_scientific_journal-3632	83	48	existence	existence	NOUN
american_scientific_journal-3632	83	49	and	and	CCONJ
american_scientific_journal-3632	83	50	the	the	DET
american_scientific_journal-3632	83	51	singularity	singularity	NOUN
american_scientific_journal-3632	83	52	of	of	ADP
american_scientific_journal-3632	83	53	the	the	DET
american_scientific_journal-3632	83	54	global	global	ADJ
american_scientific_journal-3632	83	55	solution	solution	NOUN
american_scientific_journal-3632	83	56	(	(	PUNCT
american_scientific_journal-3632	83	57	x(t	x(t	PROPN
american_scientific_journal-3632	83	58	)	)	PUNCT
american_scientific_journal-3632	83	59	,	,	PUNCT
american_scientific_journal-3632	83	60	y(t	y(t	NOUN
american_scientific_journal-3632	83	61	)	)	PUNCT
american_scientific_journal-3632	83	62	)	)	PUNCT
american_scientific_journal-3632	83	63	of	of	ADP
american_scientific_journal-3632	83	64	the	the	DET
american_scientific_journal-3632	83	65	model	model	NOUN
american_scientific_journal-3632	83	66	,	,	PUNCT
american_scientific_journal-3632	83	67	and	and	CCONJ
american_scientific_journal-3632	83	68	will	will	AUX
american_scientific_journal-3632	83	69	study	study	VERB
american_scientific_journal-3632	83	70	its	its	PRON
american_scientific_journal-3632	83	71	asymptotic	asymptotic	ADJ
american_scientific_journal-3632	83	72	behaviour7	behaviour7	NOUN
american_scientific_journal-3632	83	73	.	.	PUNCT
american_scientific_journal-3632	84	1	this	this	DET
american_scientific_journal-3632	84	2	qualitative	qualitative	ADJ
american_scientific_journal-3632	84	3	study	study	NOUN
american_scientific_journal-3632	84	4	will	will	AUX
american_scientific_journal-3632	84	5	follow	follow	VERB
american_scientific_journal-3632	84	6	a	a	DET
american_scientific_journal-3632	84	7	numerical	numerical	ADJ
american_scientific_journal-3632	84	8	application	application	NOUN
american_scientific_journal-3632	84	9	in	in	ADP
american_scientific_journal-3632	84	10	order	order	NOUN
american_scientific_journal-3632	84	11	to	to	PART
american_scientific_journal-3632	84	12	estimate	estimate	VERB
american_scientific_journal-3632	84	13	the	the	DET
american_scientific_journal-3632	84	14	parameters	parameter	NOUN
american_scientific_journal-3632	84	15	of	of	ADP
american_scientific_journal-3632	84	16	the	the	DET
american_scientific_journal-3632	84	17	model	model	NOUN
american_scientific_journal-3632	84	18	and	and	CCONJ
american_scientific_journal-3632	84	19	determine	determine	VERB
american_scientific_journal-3632	84	20	,	,	PUNCT
american_scientific_journal-3632	84	21	as	as	ADP
american_scientific_journal-3632	84	22	a	a	DET
american_scientific_journal-3632	84	23	result	result	NOUN
american_scientific_journal-3632	84	24	,	,	PUNCT
american_scientific_journal-3632	84	25	the	the	DET
american_scientific_journal-3632	84	26	nature	nature	NOUN
american_scientific_journal-3632	84	27	of	of	ADP
american_scientific_journal-3632	84	28	interaction	interaction	NOUN
american_scientific_journal-3632	84	29	which	which	PRON
american_scientific_journal-3632	84	30	exists	exist	VERB
american_scientific_journal-3632	84	31	between	between	ADP
american_scientific_journal-3632	84	32	the	the	DET
american_scientific_journal-3632	84	33	studied	studied	ADJ
american_scientific_journal-3632	84	34	variables	variable	NOUN
american_scientific_journal-3632	84	35	.	.	PUNCT
american_scientific_journal-3632	85	1	3	3	X
american_scientific_journal-3632	85	2	.	.	X
american_scientific_journal-3632	85	3	analysis	analysis	NOUN
american_scientific_journal-3632	85	4	of	of	ADP
american_scientific_journal-3632	85	5	the	the	DET
american_scientific_journal-3632	85	6	r&d	r&d	NOUN
american_scientific_journal-3632	85	7	model	model	NOUN
american_scientific_journal-3632	85	8	since	since	SCONJ
american_scientific_journal-3632	85	9	investment	investment	NOUN
american_scientific_journal-3632	85	10	in	in	ADP
american_scientific_journal-3632	85	11	r&d	r&d	NOUN
american_scientific_journal-3632	85	12	and	and	CCONJ
american_scientific_journal-3632	85	13	in	in	ADP
american_scientific_journal-3632	85	14	capital	capital	NOUN
american_scientific_journal-3632	85	15	are	be	AUX
american_scientific_journal-3632	85	16	both	both	DET
american_scientific_journal-3632	85	17	non	non	ADJ
american_scientific_journal-3632	85	18	-	-	ADJ
american_scientific_journal-3632	85	19	negative	negative	ADJ
american_scientific_journal-3632	85	20	variables	variable	NOUN
american_scientific_journal-3632	85	21	we	we	PRON
american_scientific_journal-3632	85	22	must	must	AUX
american_scientific_journal-3632	85	23	restrict	restrict	VERB
american_scientific_journal-3632	85	24	our	our	PRON
american_scientific_journal-3632	85	25	attention	attention	NOUN
american_scientific_journal-3632	85	26	to	to	ADP
american_scientific_journal-3632	85	27	the	the	DET
american_scientific_journal-3632	85	28	side	side	NOUN
american_scientific_journal-3632	85	29	of	of	ADP
american_scientific_journal-3632	85	30	the	the	DET
american_scientific_journal-3632	85	31	positive	positive	ADJ
american_scientific_journal-3632	85	32	quadrant	quadrant	ADJ
american_scientific_journal-3632	85	33	plane	plane	NOUN
american_scientific_journal-3632	85	34	where	where	SCONJ
american_scientific_journal-3632	85	35	for	for	ADP
american_scientific_journal-3632	85	36	any	any	DET
american_scientific_journal-3632	85	37	initial	initial	ADJ
american_scientific_journal-3632	85	38	solution	solution	NOUN
american_scientific_journal-3632	85	39	we	we	PRON
american_scientific_journal-3632	85	40	have	have	VERB
american_scientific_journal-3632	85	41	:	:	PUNCT
american_scientific_journal-3632	85	42	{	{	PUNCT
american_scientific_journal-3632	85	43	(	(	PUNCT
american_scientific_journal-3632	85	44	x0	x0	PROPN
american_scientific_journal-3632	85	45	,	,	PUNCT
american_scientific_journal-3632	85	46	y0)/x0	y0)/x0	PROPN
american_scientific_journal-3632	85	47			NUM
american_scientific_journal-3632	85	48	0	0	NUM
american_scientific_journal-3632	85	49	,	,	PUNCT
american_scientific_journal-3632	85	50	y0	y0	NOUN
american_scientific_journal-3632	85	51			NUM
american_scientific_journal-3632	85	52	0	0	NUM
american_scientific_journal-3632	85	53	}	}	PUNCT
american_scientific_journal-3632	85	54			PROPN
american_scientific_journal-3632	85	55	r²	r²	VERB
american_scientific_journal-3632	85	56	.	.	PUNCT
american_scientific_journal-3632	86	1	3.1	3.1	NUM
american_scientific_journal-3632	86	2	coexistence	coexistence	NOUN
american_scientific_journal-3632	86	3	of	of	ADP
american_scientific_journal-3632	86	4	the	the	DET
american_scientific_journal-3632	86	5	"	"	PUNCT
american_scientific_journal-3632	86	6	predator	predator	NOUN
american_scientific_journal-3632	86	7	-	-	PUNCT
american_scientific_journal-3632	86	8	prey	prey	NOUN
american_scientific_journal-3632	86	9	"	"	PUNCT
american_scientific_journal-3632	86	10	solution	solution	NOUN
american_scientific_journal-3632	86	11	the	the	DET
american_scientific_journal-3632	86	12	analysis	analysis	NOUN
american_scientific_journal-3632	86	13	of	of	ADP
american_scientific_journal-3632	86	14	the	the	DET
american_scientific_journal-3632	86	15	competitive	competitive	ADJ
american_scientific_journal-3632	86	16	relationship	relationship	NOUN
american_scientific_journal-3632	86	17	between	between	ADP
american_scientific_journal-3632	86	18	economic	economic	ADJ
american_scientific_journal-3632	86	19	variables	variable	NOUN
american_scientific_journal-3632	86	20	through	through	ADP
american_scientific_journal-3632	86	21	the	the	DET
american_scientific_journal-3632	86	22	use	use	NOUN
american_scientific_journal-3632	86	23	of	of	ADP
american_scientific_journal-3632	86	24	the	the	DET
american_scientific_journal-3632	86	25	lotka	lotka	PROPN
american_scientific_journal-3632	86	26	volterra	volterra	PROPN
american_scientific_journal-3632	86	27	r&d	r&d	PROPN
american_scientific_journal-3632	86	28	model	model	NOUN
american_scientific_journal-3632	86	29	(	(	PUNCT
american_scientific_journal-3632	86	30	s2	s2	PROPN
american_scientific_journal-3632	86	31	)	)	PUNCT
american_scientific_journal-3632	86	32	gives	give	VERB
american_scientific_journal-3632	86	33	us	we	PRON
american_scientific_journal-3632	86	34	an	an	DET
american_scientific_journal-3632	86	35	idea	idea	NOUN
american_scientific_journal-3632	86	36	of	of	ADP
american_scientific_journal-3632	86	37	the	the	DET
american_scientific_journal-3632	86	38	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	86	39	state	state	NOUN
american_scientific_journal-3632	86	40	and	and	CCONJ
american_scientific_journal-3632	86	41	also	also	ADV
american_scientific_journal-3632	86	42	allows	allow	VERB
american_scientific_journal-3632	86	43	us	we	PRON
american_scientific_journal-3632	86	44	to	to	PART
american_scientific_journal-3632	86	45	illustrate	illustrate	VERB
american_scientific_journal-3632	86	46	the	the	DET
american_scientific_journal-3632	86	47	trajectory	trajectory	NOUN
american_scientific_journal-3632	86	48	over	over	ADP
american_scientific_journal-3632	86	49	time	time	NOUN
american_scientific_journal-3632	86	50	.	.	PUNCT
american_scientific_journal-3632	87	1	thus	thus	ADV
american_scientific_journal-3632	87	2	,	,	PUNCT
american_scientific_journal-3632	87	3	taking	take	VERB
american_scientific_journal-3632	87	4	into	into	ADP
american_scientific_journal-3632	87	5	account	account	NOUN
american_scientific_journal-3632	87	6	the	the	DET
american_scientific_journal-3632	87	7	s2	s2	NOUN
american_scientific_journal-3632	87	8	system	system	NOUN
american_scientific_journal-3632	87	9	and	and	CCONJ
american_scientific_journal-3632	87	10	the	the	DET
american_scientific_journal-3632	87	11	instance	instance	NOUN
american_scientific_journal-3632	87	12	whereby	whereby	SCONJ
american_scientific_journal-3632	87	13	isoclines	isocline	VERB
american_scientific_journal-3632	87	14	x	x	PUNCT
american_scientific_journal-3632	87	15	=	=	SYM
american_scientific_journal-3632	87	16	0	0	NUM
american_scientific_journal-3632	87	17	and	and	CCONJ
american_scientific_journal-3632	87	18	y	y	PROPN
american_scientific_journal-3632	87	19	=	=	SYM
american_scientific_journal-3632	87	20	0	0	NUM
american_scientific_journal-3632	87	21	,	,	PUNCT
american_scientific_journal-3632	87	22	intersect	intersect	ADJ
american_scientific_journal-3632	87	23	,	,	PUNCT
american_scientific_journal-3632	87	24	we	we	PRON
american_scientific_journal-3632	87	25	can	can	AUX
american_scientific_journal-3632	87	26	prove	prove	VERB
american_scientific_journal-3632	87	27	the	the	DET
american_scientific_journal-3632	87	28	existence	existence	NOUN
american_scientific_journal-3632	87	29	of	of	ADP
american_scientific_journal-3632	87	30	an	an	DET
american_scientific_journal-3632	87	31	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	87	32	point	point	NOUN
american_scientific_journal-3632	87	33	(	(	PUNCT
american_scientific_journal-3632	87	34	x	x	PROPN
american_scientific_journal-3632	87	35	,	,	PUNCT
american_scientific_journal-3632	87	36	y	y	NOUN
american_scientific_journal-3632	87	37	)	)	PUNCT
american_scientific_journal-3632	87	38	,	,	PUNCT
american_scientific_journal-3632	87	39	i.e.	i.e.	X
american_scientific_journal-3632	87	40	the	the	DET
american_scientific_journal-3632	87	41	coexistence	coexistence	NOUN
american_scientific_journal-3632	87	42	of	of	ADP
american_scientific_journal-3632	87	43	variables	variable	NOUN
american_scientific_journal-3632	87	44	representing	represent	VERB
american_scientific_journal-3632	87	45	the	the	DET
american_scientific_journal-3632	87	46	technological	technological	ADJ
american_scientific_journal-3632	87	47	progress	progress	NOUN
american_scientific_journal-3632	87	48	and	and	CCONJ
american_scientific_journal-3632	87	49	the	the	DET
american_scientific_journal-3632	87	50	capital	capital	NOUN
american_scientific_journal-3632	87	51	accumulation	accumulation	NOUN
american_scientific_journal-3632	87	52	.	.	PUNCT
american_scientific_journal-3632	88	1	we	we	PRON
american_scientific_journal-3632	88	2	subsequently	subsequently	ADV
american_scientific_journal-3632	88	3	introduce	introduce	VERB
american_scientific_journal-3632	88	4	a	a	DET
american_scientific_journal-3632	88	5	lyapunov8	lyapunov8	NOUN
american_scientific_journal-3632	88	6	function	function	NOUN
american_scientific_journal-3632	88	7	to	to	PART
american_scientific_journal-3632	88	8	s2	s2	VERB
american_scientific_journal-3632	88	9	and	and	CCONJ
american_scientific_journal-3632	88	10	use	use	VERB
american_scientific_journal-3632	88	11	it	it	PRON
american_scientific_journal-3632	88	12	to	to	PART
american_scientific_journal-3632	88	13	prove	prove	VERB
american_scientific_journal-3632	88	14	the	the	DET
american_scientific_journal-3632	88	15	global	global	ADJ
american_scientific_journal-3632	88	16	stability	stability	NOUN
american_scientific_journal-3632	88	17	of	of	ADP
american_scientific_journal-3632	88	18	the	the	DET
american_scientific_journal-3632	88	19	model	model	NOUN
american_scientific_journal-3632	88	20	.	.	PUNCT
american_scientific_journal-3632	89	1	the	the	DET
american_scientific_journal-3632	89	2	principle	principle	ADJ
american_scientific_journal-3632	89	3	goal	goal	NOUN
american_scientific_journal-3632	89	4	of	of	ADP
american_scientific_journal-3632	89	5	this	this	DET
american_scientific_journal-3632	89	6	section	section	NOUN
american_scientific_journal-3632	89	7	is	be	AUX
american_scientific_journal-3632	89	8	to	to	PART
american_scientific_journal-3632	89	9	determine	determine	VERB
american_scientific_journal-3632	89	10	possible	possible	ADJ
american_scientific_journal-3632	89	11	solutions	solution	NOUN
american_scientific_journal-3632	89	12	for	for	ADP
american_scientific_journal-3632	89	13	s2	s2	PROPN
american_scientific_journal-3632	89	14	.	.	PUNCT
american_scientific_journal-3632	90	1	as	as	SCONJ
american_scientific_journal-3632	90	2	it	it	PRON
american_scientific_journal-3632	90	3	is	be	AUX
american_scientific_journal-3632	90	4	impossible	impossible	ADJ
american_scientific_journal-3632	90	5	to	to	PART
american_scientific_journal-3632	90	6	calculate	calculate	VERB
american_scientific_journal-3632	90	7	these	these	PRON
american_scientific_journal-3632	90	8	in	in	ADP
american_scientific_journal-3632	90	9	an	an	DET
american_scientific_journal-3632	90	10	analytical	analytical	ADJ
american_scientific_journal-3632	90	11	way	way	NOUN
american_scientific_journal-3632	90	12	(	(	PUNCT
american_scientific_journal-3632	90	13	quantitative	quantitative	ADJ
american_scientific_journal-3632	90	14	)	)	PUNCT
american_scientific_journal-3632	90	15	,	,	PUNCT
american_scientific_journal-3632	90	16	we	we	PRON
american_scientific_journal-3632	90	17	shall	shall	AUX
american_scientific_journal-3632	90	18	therefore	therefore	ADV
american_scientific_journal-3632	90	19	focus	focus	VERB
american_scientific_journal-3632	90	20	on	on	ADP
american_scientific_journal-3632	90	21	a	a	DET
american_scientific_journal-3632	90	22	rather	rather	ADV
american_scientific_journal-3632	90	23	more	more	ADJ
american_scientific_journal-3632	90	24	qualitative	qualitative	ADJ
american_scientific_journal-3632	90	25	study	study	NOUN
american_scientific_journal-3632	90	26	of	of	ADP
american_scientific_journal-3632	90	27	the	the	DET
american_scientific_journal-3632	90	28	s2	s2	NOUN
american_scientific_journal-3632	90	29	system	system	NOUN
american_scientific_journal-3632	90	30	.	.	PUNCT
american_scientific_journal-3632	91	1	our	our	PRON
american_scientific_journal-3632	91	2	work	work	NOUN
american_scientific_journal-3632	91	3	aims	aim	VERB
american_scientific_journal-3632	91	4	to	to	PART
american_scientific_journal-3632	91	5	show	show	VERB
american_scientific_journal-3632	91	6	that	that	SCONJ
american_scientific_journal-3632	91	7	if	if	SCONJ
american_scientific_journal-3632	91	8	deta	deta	PROPN
american_scientific_journal-3632	91	9	>	>	X
american_scientific_journal-3632	91	10	0	0	NUM
american_scientific_journal-3632	91	11	,	,	PUNCT
american_scientific_journal-3632	91	12	and	and	CCONJ
american_scientific_journal-3632	91	13	if	if	SCONJ
american_scientific_journal-3632	91	14	x(0	x(0	PROPN
american_scientific_journal-3632	91	15	)	)	PUNCT
american_scientific_journal-3632	91	16	>	>	X
american_scientific_journal-3632	91	17	0	0	NUM
american_scientific_journal-3632	91	18	,	,	PUNCT
american_scientific_journal-3632	91	19	y(0	y(0	PROPN
american_scientific_journal-3632	91	20	)	)	PUNCT
american_scientific_journal-3632	91	21	>	>	X
american_scientific_journal-3632	92	1	-	-	NOUN
american_scientific_journal-3632	92	2	the	the	DET
american_scientific_journal-3632	92	3	s2	s2	NOUN
american_scientific_journal-3632	92	4	system	system	NOUN
american_scientific_journal-3632	92	5	of	of	ADP
american_scientific_journal-3632	92	6	equations	equation	NOUN
american_scientific_journal-3632	92	7	allows	allow	VERB
american_scientific_journal-3632	92	8	a	a	DET
american_scientific_journal-3632	92	9	global	global	ADJ
american_scientific_journal-3632	92	10	solution	solution	NOUN
american_scientific_journal-3632	92	11	which	which	PRON
american_scientific_journal-3632	92	12	confirms	confirm	VERB
american_scientific_journal-3632	92	13	that	that	SCONJ
american_scientific_journal-3632	92	14	x(t	x(t	PROPN
american_scientific_journal-3632	92	15	)	)	PUNCT
american_scientific_journal-3632	92	16	>	>	X
american_scientific_journal-3632	92	17	0	0	NUM
american_scientific_journal-3632	92	18	,	,	PUNCT
american_scientific_journal-3632	92	19	y(t	y(t	NUM
american_scientific_journal-3632	92	20	)	)	PUNCT
american_scientific_journal-3632	92	21	>	>	PUNCT
american_scientific_journal-3632	93	1	-	-	NOUN
american_scientific_journal-3632	93	2	whenever	whenever	SCONJ
american_scientific_journal-3632	93	3	t	t	PROPN
american_scientific_journal-3632	93	4			NUM
american_scientific_journal-3632	93	5	0	0	NUM
american_scientific_journal-3632	93	6	.	.	PUNCT
american_scientific_journal-3632	94	1	proof	proof	NOUN
american_scientific_journal-3632	94	2	of	of	ADP
american_scientific_journal-3632	94	3	this	this	DET
american_scientific_journal-3632	94	4	relationship	relationship	NOUN
american_scientific_journal-3632	94	5	involves	involve	VERB
american_scientific_journal-3632	94	6	the	the	DET
american_scientific_journal-3632	94	7	study	study	NOUN
american_scientific_journal-3632	94	8	of	of	ADP
american_scientific_journal-3632	94	9	local	local	ADJ
american_scientific_journal-3632	94	10	existence	existence	NOUN
american_scientific_journal-3632	94	11	and	and	CCONJ
american_scientific_journal-3632	94	12	the	the	DET
american_scientific_journal-3632	94	13	singularity	singularity	NOUN
american_scientific_journal-3632	94	14	of	of	ADP
american_scientific_journal-3632	94	15	the	the	DET
american_scientific_journal-3632	94	16	solution	solution	NOUN
american_scientific_journal-3632	94	17	by	by	ADP
american_scientific_journal-3632	94	18	using	use	VERB
american_scientific_journal-3632	94	19	theorem	theorem	NOUN
american_scientific_journal-3632	94	20	1	1	NUM
american_scientific_journal-3632	94	21	as	as	SCONJ
american_scientific_journal-3632	94	22	shown	show	VERB
american_scientific_journal-3632	94	23	by	by	ADP
american_scientific_journal-3632	94	24	[	[	X
american_scientific_journal-3632	94	25	5]9	5]9	NUM
american_scientific_journal-3632	94	26	.	.	PUNCT
american_scientific_journal-3632	95	1	3.1.1	3.1.1	NUM
american_scientific_journal-3632	95	2	local	local	ADJ
american_scientific_journal-3632	95	3	existence	existence	NOUN
american_scientific_journal-3632	95	4	and	and	CCONJ
american_scientific_journal-3632	95	5	singularity	singularity	NOUN
american_scientific_journal-3632	95	6	in	in	ADP
american_scientific_journal-3632	95	7	this	this	DET
american_scientific_journal-3632	95	8	paragraph	paragraph	NOUN
american_scientific_journal-3632	95	9	,	,	PUNCT
american_scientific_journal-3632	95	10	we	we	PRON
american_scientific_journal-3632	95	11	will	will	AUX
american_scientific_journal-3632	95	12	use	use	VERB
american_scientific_journal-3632	95	13	one	one	NUM
american_scientific_journal-3632	95	14	of	of	ADP
american_scientific_journal-3632	95	15	the	the	DET
american_scientific_journal-3632	95	16	classic	classic	ADJ
american_scientific_journal-3632	95	17	outcomes	outcome	NOUN
american_scientific_journal-3632	95	18	regarding	regard	VERB
american_scientific_journal-3632	95	19	the	the	DET
american_scientific_journal-3632	95	20	existence	existence	NOUN
american_scientific_journal-3632	95	21	and	and	CCONJ
american_scientific_journal-3632	95	22	singularity	singularity	NOUN
american_scientific_journal-3632	95	23	of	of	ADP
american_scientific_journal-3632	95	24	differential	differential	NOUN
american_scientific_journal-3632	95	25	6	6	NUM
american_scientific_journal-3632	95	26	[	[	SYM
american_scientific_journal-3632	95	27	30	30	NUM
american_scientific_journal-3632	95	28	]	]	SYM
american_scientific_journal-3632	95	29	.	.	PUNCT
american_scientific_journal-3632	95	30	7	7	NUM
american_scientific_journal-3632	95	31	as	as	SCONJ
american_scientific_journal-3632	95	32	the	the	DET
american_scientific_journal-3632	95	33	dynamic	dynamic	ADJ
american_scientific_journal-3632	95	34	process	process	NOUN
american_scientific_journal-3632	95	35	is	be	AUX
american_scientific_journal-3632	95	36	described	describe	VERB
american_scientific_journal-3632	95	37	by	by	ADP
american_scientific_journal-3632	95	38	differential	differential	ADJ
american_scientific_journal-3632	95	39	equations	equation	NOUN
american_scientific_journal-3632	95	40	in	in	ADP
american_scientific_journal-3632	95	41	which	which	PRON
american_scientific_journal-3632	95	42	the	the	DET
american_scientific_journal-3632	95	43	independent	independent	ADJ
american_scientific_journal-3632	95	44	variable	variable	NOUN
american_scientific_journal-3632	95	45	is	be	AUX
american_scientific_journal-3632	95	46	time	time	NOUN
american_scientific_journal-3632	95	47	,	,	PUNCT
american_scientific_journal-3632	95	48	the	the	DET
american_scientific_journal-3632	95	49	theory	theory	NOUN
american_scientific_journal-3632	95	50	intends	intend	VERB
american_scientific_journal-3632	95	51	to	to	PART
american_scientific_journal-3632	95	52	predict	predict	VERB
american_scientific_journal-3632	95	53	the	the	DET
american_scientific_journal-3632	95	54	ultimate	ultimate	ADJ
american_scientific_journal-3632	95	55	behaviour	behaviour	NOUN
american_scientific_journal-3632	95	56	of	of	ADP
american_scientific_journal-3632	95	57	the	the	DET
american_scientific_journal-3632	95	58	solutions	solution	NOUN
american_scientific_journal-3632	95	59	to	to	ADP
american_scientific_journal-3632	95	60	the	the	DET
american_scientific_journal-3632	95	61	equation	equation	NOUN
american_scientific_journal-3632	95	62	in	in	ADP
american_scientific_journal-3632	95	63	the	the	DET
american_scientific_journal-3632	95	64	distant	distant	ADJ
american_scientific_journal-3632	95	65	future	future	NOUN
american_scientific_journal-3632	95	66	(	(	PUNCT
american_scientific_journal-3632	95	67	when	when	SCONJ
american_scientific_journal-3632	95	68	t∞	t∞	NOUN
american_scientific_journal-3632	95	69	)	)	PUNCT
american_scientific_journal-3632	95	70	.	.	PUNCT
american_scientific_journal-3632	96	1	it	it	PRON
american_scientific_journal-3632	96	2	therefore	therefore	ADV
american_scientific_journal-3632	96	3	involves	involve	VERB
american_scientific_journal-3632	96	4	understanding	understanding	NOUN
american_scientific_journal-3632	96	5	,	,	PUNCT
american_scientific_journal-3632	96	6	from	from	ADP
american_scientific_journal-3632	96	7	an	an	DET
american_scientific_journal-3632	96	8	initial	initial	ADJ
american_scientific_journal-3632	96	9	situation	situation	NOUN
american_scientific_journal-3632	96	10	,	,	PUNCT
american_scientific_journal-3632	96	11	towards	towards	ADP
american_scientific_journal-3632	96	12	which	which	PRON
american_scientific_journal-3632	96	13	values	value	VERB
american_scientific_journal-3632	96	14	the	the	DET
american_scientific_journal-3632	96	15	growth	growth	NOUN
american_scientific_journal-3632	96	16	rate	rate	NOUN
american_scientific_journal-3632	96	17	of	of	ADP
american_scientific_journal-3632	96	18	knowledge	knowledge	NOUN
american_scientific_journal-3632	96	19	stock	stock	NOUN
american_scientific_journal-3632	96	20	and	and	CCONJ
american_scientific_journal-3632	96	21	capital	capital	NOUN
american_scientific_journal-3632	96	22	stock	stock	NOUN
american_scientific_journal-3632	96	23	will	will	AUX
american_scientific_journal-3632	96	24	evolve	evolve	VERB
american_scientific_journal-3632	96	25	.	.	PUNCT
american_scientific_journal-3632	97	1	8	8	NUM
american_scientific_journal-3632	97	2	one	one	NUM
american_scientific_journal-3632	97	3	general	general	ADJ
american_scientific_journal-3632	97	4	way	way	NOUN
american_scientific_journal-3632	97	5	to	to	PART
american_scientific_journal-3632	97	6	establish	establish	VERB
american_scientific_journal-3632	97	7	the	the	DET
american_scientific_journal-3632	97	8	overall	overall	ADJ
american_scientific_journal-3632	97	9	stability	stability	NOUN
american_scientific_journal-3632	97	10	of	of	ADP
american_scientific_journal-3632	97	11	a	a	DET
american_scientific_journal-3632	97	12	differential	differential	ADJ
american_scientific_journal-3632	97	13	equation	equation	NOUN
american_scientific_journal-3632	97	14	system	system	NOUN
american_scientific_journal-3632	97	15	is	be	AUX
american_scientific_journal-3632	97	16	to	to	PART
american_scientific_journal-3632	97	17	use	use	VERB
american_scientific_journal-3632	97	18	lyapunov	lyapunov	PROPN
american_scientific_journal-3632	97	19	’s	’s	PART
american_scientific_journal-3632	97	20	function	function	NOUN
american_scientific_journal-3632	97	21	.	.	PUNCT
american_scientific_journal-3632	98	1	see	see	VERB
american_scientific_journal-3632	98	2	[	[	X
american_scientific_journal-3632	98	3	31	31	NUM
american_scientific_journal-3632	98	4	,	,	PUNCT
american_scientific_journal-3632	98	5	34	34	NUM
american_scientific_journal-3632	98	6	,	,	PUNCT
american_scientific_journal-3632	98	7	33	33	NUM
american_scientific_journal-3632	98	8	]	]	PUNCT
american_scientific_journal-3632	98	9	.	.	PUNCT
american_scientific_journal-3632	99	1	9	9	NUM
american_scientific_journal-3632	99	2	page	page	NOUN
american_scientific_journal-3632	99	3	6	6	NUM
american_scientific_journal-3632	99	4	.	.	PUNCT
american_scientific_journal-3632	100	1	american	american	PROPN
american_scientific_journal-3632	100	2	scientific	scientific	ADJ
american_scientific_journal-3632	100	3	research	research	PROPN
american_scientific_journal-3632	100	4	journal	journal	NOUN
american_scientific_journal-3632	100	5	for	for	ADP
american_scientific_journal-3632	100	6	engineering	engineering	NOUN
american_scientific_journal-3632	100	7	,	,	PUNCT
american_scientific_journal-3632	100	8	technology	technology	NOUN
american_scientific_journal-3632	100	9	,	,	PUNCT
american_scientific_journal-3632	100	10	and	and	CCONJ
american_scientific_journal-3632	100	11	sciences	science	NOUN
american_scientific_journal-3632	100	12	(	(	PUNCT
american_scientific_journal-3632	100	13	asrjets	asrjet	NOUN
american_scientific_journal-3632	100	14	)	)	PUNCT
american_scientific_journal-3632	100	15	(	(	PUNCT
american_scientific_journal-3632	100	16	2018	2018	NUM
american_scientific_journal-3632	100	17	)	)	PUNCT
american_scientific_journal-3632	100	18	volume	volume	NOUN
american_scientific_journal-3632	100	19	39	39	NUM
american_scientific_journal-3632	100	20	,	,	PUNCT
american_scientific_journal-3632	100	21	no	no	DET
american_scientific_journal-3632	100	22	1	1	NUM
american_scientific_journal-3632	100	23	,	,	PUNCT
american_scientific_journal-3632	100	24	pp	pp	ADJ
american_scientific_journal-3632	100	25	138	138	NUM
american_scientific_journal-3632	100	26	-	-	SYM
american_scientific_journal-3632	100	27	158	158	NUM
american_scientific_journal-3632	100	28	143	143	NUM
american_scientific_journal-3632	100	29	equation	equation	NOUN
american_scientific_journal-3632	100	30	solutions10	solutions10	NOUN
american_scientific_journal-3632	100	31	,	,	PUNCT
american_scientific_journal-3632	100	32	which	which	PRON
american_scientific_journal-3632	100	33	involves	involve	VERB
american_scientific_journal-3632	100	34	a	a	DET
american_scientific_journal-3632	100	35	given	give	VERB
american_scientific_journal-3632	100	36	initial	initial	ADJ
american_scientific_journal-3632	100	37	value	value	NOUN
american_scientific_journal-3632	100	38	(	(	PUNCT
american_scientific_journal-3632	100	39	x0	x0	PROPN
american_scientific_journal-3632	100	40	,	,	PUNCT
american_scientific_journal-3632	100	41	y0	y0	PROPN
american_scientific_journal-3632	100	42	)	)	PUNCT
american_scientific_journal-3632	100	43	,	,	PUNCT
american_scientific_journal-3632	100	44	and	and	CCONJ
american_scientific_journal-3632	100	45	uses	use	VERB
american_scientific_journal-3632	100	46	the	the	DET
american_scientific_journal-3632	100	47	cauchy	cauchy	NOUN
american_scientific_journal-3632	100	48	-	-	PUNCT
american_scientific_journal-3632	100	49	lipschitz	lipschitz	NOUN
american_scientific_journal-3632	100	50	theorem11	theorem11	NOUN
american_scientific_journal-3632	100	51	.	.	PUNCT
american_scientific_journal-3632	101	1	recall	recall	VERB
american_scientific_journal-3632	101	2	that	that	SCONJ
american_scientific_journal-3632	101	3	if	if	SCONJ
american_scientific_journal-3632	101	4	f	f	X
american_scientific_journal-3632	101	5	,	,	PUNCT
american_scientific_journal-3632	101	6	g	g	NOUN
american_scientific_journal-3632	101	7	:	:	PUNCT
american_scientific_journal-3632	101	8	3	3	NUM
american_scientific_journal-3632	101	9	r	r	NOUN
american_scientific_journal-3632	101	10	r	r	NOUN
american_scientific_journal-3632	101	11	of	of	ADP
american_scientific_journal-3632	101	12	class	class	NOUN
american_scientific_journal-3632	101	13	c1	c1	PROPN
american_scientific_journal-3632	101	14	such	such	ADJ
american_scientific_journal-3632	101	15	as	as	ADP
american_scientific_journal-3632	101	16	:	:	PUNCT
american_scientific_journal-3632	101	17	x(t	x(t	PROPN
american_scientific_journal-3632	101	18	)	)	PUNCT
american_scientific_journal-3632	101	19	=	=	SYM
american_scientific_journal-3632	101	20	f(x	f(x	PROPN
american_scientific_journal-3632	101	21	,	,	PUNCT
american_scientific_journal-3632	101	22	y	y	PROPN
american_scientific_journal-3632	101	23	,	,	PUNCT
american_scientific_journal-3632	101	24	t	t	PROPN
american_scientific_journal-3632	101	25	)	)	PUNCT
american_scientific_journal-3632	101	26	y(t	y(t	NUM
american_scientific_journal-3632	101	27	)	)	PUNCT
american_scientific_journal-3632	102	1	=	=	SYM
american_scientific_journal-3632	102	2	g(x	g(x	NOUN
american_scientific_journal-3632	102	3	,	,	PUNCT
american_scientific_journal-3632	102	4	y	y	PROPN
american_scientific_journal-3632	102	5	,	,	PUNCT
american_scientific_journal-3632	102	6	t	t	PROPN
american_scientific_journal-3632	102	7	)	)	PUNCT
american_scientific_journal-3632	102	8	(	(	PUNCT
american_scientific_journal-3632	102	9	1	1	X
american_scientific_journal-3632	102	10	)	)	PUNCT
american_scientific_journal-3632	102	11	x(0	x(0	PROPN
american_scientific_journal-3632	102	12	)	)	PUNCT
american_scientific_journal-3632	103	1	=	=	PUNCT
american_scientific_journal-3632	103	2	x	x	SYM
american_scientific_journal-3632	103	3	0	0	X
american_scientific_journal-3632	103	4	y(0	y(0	PROPN
american_scientific_journal-3632	103	5	)	)	PUNCT
american_scientific_journal-3632	103	6	=	=	SYM
american_scientific_journal-3632	104	1	y	y	PROPN
american_scientific_journal-3632	104	2	0	0	NUM
american_scientific_journal-3632	104	3			NOUN
american_scientific_journal-3632	104	4			NOUN
american_scientific_journal-3632	105	1			NOUN
american_scientific_journal-3632	105	2			NUM
american_scientific_journal-3632	105	3			PROPN
american_scientific_journal-3632	105	4	then	then	ADV
american_scientific_journal-3632	105	5	,	,	PUNCT
american_scientific_journal-3632	105	6	there	there	PRON
american_scientific_journal-3632	105	7	exist	exist	VERB
american_scientific_journal-3632	105	8	tmax	tmax	ADP
american_scientific_journal-3632	105	9	>	>	X
american_scientific_journal-3632	105	10	0	0	NUM
american_scientific_journal-3632	105	11	,	,	PUNCT
american_scientific_journal-3632	105	12	so	so	ADV
american_scientific_journal-3632	105	13	long	long	ADV
american_scientific_journal-3632	105	14	as	as	SCONJ
american_scientific_journal-3632	105	15	the	the	DET
american_scientific_journal-3632	105	16	problem	problem	NOUN
american_scientific_journal-3632	105	17	(	(	PUNCT
american_scientific_journal-3632	105	18	1	1	X
american_scientific_journal-3632	105	19	)	)	PUNCT
american_scientific_journal-3632	105	20	allows	allow	VERB
american_scientific_journal-3632	105	21	a	a	DET
american_scientific_journal-3632	105	22	unique	unique	ADJ
american_scientific_journal-3632	105	23	solution	solution	NOUN
american_scientific_journal-3632	105	24	in	in	ADP
american_scientific_journal-3632	105	25	[	[	NOUN
american_scientific_journal-3632	105	26	0,tmax	0,tmax	NUM
american_scientific_journal-3632	105	27	)	)	PUNCT
american_scientific_journal-3632	105	28	.	.	PUNCT
american_scientific_journal-3632	106	1	then	then	ADV
american_scientific_journal-3632	106	2	we	we	PRON
american_scientific_journal-3632	106	3	show	show	VERB
american_scientific_journal-3632	106	4	that	that	SCONJ
american_scientific_journal-3632	106	5	if	if	SCONJ
american_scientific_journal-3632	106	6	(	(	PUNCT
american_scientific_journal-3632	106	7	x(t),y(t	x(t),y(t	PROPN
american_scientific_journal-3632	106	8	)	)	PUNCT
american_scientific_journal-3632	106	9	)	)	PUNCT
american_scientific_journal-3632	106	10	is	be	AUX
american_scientific_journal-3632	106	11	bounded	bound	VERB
american_scientific_journal-3632	106	12	on	on	ADP
american_scientific_journal-3632	106	13	[	[	X
american_scientific_journal-3632	106	14	0	0	NUM
american_scientific_journal-3632	106	15	,	,	PUNCT
american_scientific_journal-3632	106	16	tmax	tmax	NUM
american_scientific_journal-3632	106	17	)	)	PUNCT
american_scientific_journal-3632	106	18	then	then	ADV
american_scientific_journal-3632	106	19	tmax	tmax	ADP
american_scientific_journal-3632	106	20	=	=	PUNCT
american_scientific_journal-3632	107	1	+	+	NUM
american_scientific_journal-3632	107	2			NOUN
american_scientific_journal-3632	107	3	,	,	PUNCT
american_scientific_journal-3632	107	4	that	that	PRON
american_scientific_journal-3632	107	5	is	be	AUX
american_scientific_journal-3632	107	6	to	to	PART
american_scientific_journal-3632	107	7	say	say	VERB
american_scientific_journal-3632	107	8	the	the	DET
american_scientific_journal-3632	107	9	solution	solution	NOUN
american_scientific_journal-3632	107	10	which	which	PRON
american_scientific_journal-3632	107	11	exists	exist	VERB
american_scientific_journal-3632	107	12	is	be	AUX
american_scientific_journal-3632	107	13	global	global	ADJ
american_scientific_journal-3632	107	14	.	.	PUNCT
american_scientific_journal-3632	108	1	the	the	DET
american_scientific_journal-3632	108	2	application	application	NOUN
american_scientific_journal-3632	108	3	of	of	ADP
american_scientific_journal-3632	108	4	this	this	DET
american_scientific_journal-3632	108	5	outcome	outcome	NOUN
american_scientific_journal-3632	108	6	to	to	ADP
american_scientific_journal-3632	108	7	our	our	PRON
american_scientific_journal-3632	108	8	study	study	NOUN
american_scientific_journal-3632	108	9	whereby	whereby	SCONJ
american_scientific_journal-3632	108	10	f(x	f(x	PROPN
american_scientific_journal-3632	108	11	,	,	PUNCT
american_scientific_journal-3632	108	12	y	y	PROPN
american_scientific_journal-3632	108	13	,	,	PUNCT
american_scientific_journal-3632	108	14	t	t	PROPN
american_scientific_journal-3632	108	15	)	)	PUNCT
american_scientific_journal-3632	108	16	=	=	SYM
american_scientific_journal-3632	108	17	x(t	x(t	PROPN
american_scientific_journal-3632	108	18	)	)	PUNCT
american_scientific_journal-3632	109	1	[	[	X
american_scientific_journal-3632	109	2			X
american_scientific_journal-3632	109	3	x(t	x(t	PROPN
american_scientific_journal-3632	109	4	)	)	PUNCT
american_scientific_journal-3632	110	1	+	+	NUM
american_scientific_journal-3632	110	2			NOUN
american_scientific_journal-3632	110	3	y(t	y(t	X
american_scientific_journal-3632	110	4	)	)	PUNCT
american_scientific_journal-3632	111	1	+	+	CCONJ
american_scientific_journal-3632	111	2			NUM
american_scientific_journal-3632	111	3	n(t	n(t	NOUN
american_scientific_journal-3632	111	4	)	)	PUNCT
american_scientific_journal-3632	111	5	]	]	PUNCT
american_scientific_journal-3632	111	6	and	and	CCONJ
american_scientific_journal-3632	111	7	g(x	g(x	PROPN
american_scientific_journal-3632	111	8	,	,	PUNCT
american_scientific_journal-3632	111	9	y	y	PROPN
american_scientific_journal-3632	111	10	,	,	PUNCT
american_scientific_journal-3632	111	11	t	t	PROPN
american_scientific_journal-3632	111	12	)	)	PUNCT
american_scientific_journal-3632	111	13	=	=	PUNCT
american_scientific_journal-3632	111	14	’(y(t	’(y(t	PUNCT
american_scientific_journal-3632	111	15	)	)	PUNCT
american_scientific_journal-3632	111	16	+	+	CCONJ
american_scientific_journal-3632	111	17	)[x(t	)[x(t	X
american_scientific_journal-3632	111	18	)	)	PUNCT
american_scientific_journal-3632	111	19	y(t	y(t	NUM
american_scientific_journal-3632	111	20	)	)	PUNCT
american_scientific_journal-3632	112	1	+	+	CCONJ
american_scientific_journal-3632	112	2	n(t	n(t	PROPN
american_scientific_journal-3632	112	3	)	)	PUNCT
american_scientific_journal-3632	112	4	]	]	PUNCT
american_scientific_journal-3632	112	5	,	,	PUNCT
american_scientific_journal-3632	112	6	allows	allow	VERB
american_scientific_journal-3632	112	7	us	we	PRON
american_scientific_journal-3632	112	8	to	to	PART
american_scientific_journal-3632	112	9	state	state	VERB
american_scientific_journal-3632	112	10	that	that	PRON
american_scientific_journal-3632	112	11	tmax	tmax	ADP
american_scientific_journal-3632	112	12	>	>	X
american_scientific_journal-3632	112	13	0	0	NUM
american_scientific_journal-3632	112	14	,	,	PUNCT
american_scientific_journal-3632	112	15	exists	exist	VERB
american_scientific_journal-3632	112	16	here	here	ADV
american_scientific_journal-3632	112	17	and	and	CCONJ
american_scientific_journal-3632	112	18	as	as	SCONJ
american_scientific_journal-3632	112	19	such	such	ADJ
american_scientific_journal-3632	112	20	s2	s2	NOUN
american_scientific_journal-3632	112	21	permits	permit	VERB
american_scientific_journal-3632	112	22	a	a	DET
american_scientific_journal-3632	112	23	unique	unique	ADJ
american_scientific_journal-3632	112	24	solution	solution	NOUN
american_scientific_journal-3632	112	25	for	for	ADP
american_scientific_journal-3632	112	26	[	[	NOUN
american_scientific_journal-3632	112	27	0,tmax	0,tmax	NUM
american_scientific_journal-3632	112	28	)	)	PUNCT
american_scientific_journal-3632	112	29	.	.	PUNCT
american_scientific_journal-3632	113	1	in	in	ADP
american_scientific_journal-3632	113	2	the	the	DET
american_scientific_journal-3632	113	3	following	follow	VERB
american_scientific_journal-3632	113	4	paragraph	paragraph	NOUN
american_scientific_journal-3632	113	5	,	,	PUNCT
american_scientific_journal-3632	113	6	we	we	PRON
american_scientific_journal-3632	113	7	'll	will	AUX
american_scientific_journal-3632	113	8	prove	prove	VERB
american_scientific_journal-3632	113	9	that	that	SCONJ
american_scientific_journal-3632	113	10	the	the	DET
american_scientific_journal-3632	113	11	solution	solution	NOUN
american_scientific_journal-3632	113	12	(	(	PUNCT
american_scientific_journal-3632	113	13	x(t),y(t	x(t),y(t	PROPN
american_scientific_journal-3632	113	14	)	)	PUNCT
american_scientific_journal-3632	113	15	)	)	PUNCT
american_scientific_journal-3632	113	16	is	be	AUX
american_scientific_journal-3632	113	17	bounded	bound	VERB
american_scientific_journal-3632	113	18	on	on	ADP
american_scientific_journal-3632	113	19	[	[	X
american_scientific_journal-3632	113	20	0	0	NUM
american_scientific_journal-3632	113	21	,	,	PUNCT
american_scientific_journal-3632	113	22	tmax	tmax	NUM
american_scientific_journal-3632	113	23	)	)	PUNCT
american_scientific_journal-3632	113	24	,	,	PUNCT
american_scientific_journal-3632	113	25	which	which	PRON
american_scientific_journal-3632	113	26	allows	allow	VERB
american_scientific_journal-3632	113	27	us	we	PRON
american_scientific_journal-3632	113	28	to	to	PART
american_scientific_journal-3632	113	29	have	have	VERB
american_scientific_journal-3632	113	30	tmax	tmax	VERB
american_scientific_journal-3632	113	31	=	=	SYM
american_scientific_journal-3632	114	1	+	+	NUM
american_scientific_journal-3632	114	2			NOUN
american_scientific_journal-3632	114	3	,	,	PUNCT
american_scientific_journal-3632	114	4	which	which	PRON
american_scientific_journal-3632	114	5	implies	imply	VERB
american_scientific_journal-3632	114	6	the	the	DET
american_scientific_journal-3632	114	7	solution	solution	NOUN
american_scientific_journal-3632	114	8	is	be	AUX
american_scientific_journal-3632	114	9	global	global	ADJ
american_scientific_journal-3632	114	10	.	.	PUNCT
american_scientific_journal-3632	115	1	3.1.2	3.1.2	NUM
american_scientific_journal-3632	115	2	global	global	ADJ
american_scientific_journal-3632	115	3	attractivity	attractivity	NOUN
american_scientific_journal-3632	115	4	before	before	ADP
american_scientific_journal-3632	115	5	revealing	reveal	VERB
american_scientific_journal-3632	115	6	the	the	DET
american_scientific_journal-3632	115	7	global	global	ADJ
american_scientific_journal-3632	115	8	solution	solution	NOUN
american_scientific_journal-3632	115	9	of	of	ADP
american_scientific_journal-3632	115	10	s2	s2	PROPN
american_scientific_journal-3632	115	11	,	,	PUNCT
american_scientific_journal-3632	115	12	it	it	PRON
american_scientific_journal-3632	115	13	is	be	AUX
american_scientific_journal-3632	115	14	first	first	ADV
american_scientific_journal-3632	115	15	necessary	necessary	ADJ
american_scientific_journal-3632	115	16	to	to	PART
american_scientific_journal-3632	115	17	prove	prove	VERB
american_scientific_journal-3632	115	18	the	the	DET
american_scientific_journal-3632	115	19	stability	stability	NOUN
american_scientific_journal-3632	115	20	of	of	ADP
american_scientific_journal-3632	115	21	the	the	DET
american_scientific_journal-3632	115	22	rule	rule	NOUN
american_scientific_journal-3632	115	23	s	s	NOUN
american_scientific_journal-3632	115	24	=	=	PRON
american_scientific_journal-3632	115	25	{	{	PUNCT
american_scientific_journal-3632	115	26	(	(	PUNCT
american_scientific_journal-3632	115	27	x	x	NOUN
american_scientific_journal-3632	115	28	,	,	PUNCT
american_scientific_journal-3632	115	29	y)/	y)/	PROPN
american_scientific_journal-3632	115	30	x	x	SYM
american_scientific_journal-3632	116	1	>	>	X
american_scientific_journal-3632	116	2	0	0	PROPN
american_scientific_journal-3632	116	3	,	,	PUNCT
american_scientific_journal-3632	116	4	y	y	NOUN
american_scientific_journal-3632	116	5	>	>	X
american_scientific_journal-3632	116	6	-	-	NOUN
american_scientific_journal-3632	116	7	}	}	PUNCT
american_scientific_journal-3632	116	8	,	,	PUNCT
american_scientific_journal-3632	116	9	that	that	PRON
american_scientific_journal-3632	116	10	is	be	AUX
american_scientific_journal-3632	116	11	to	to	PART
american_scientific_journal-3632	116	12	say	say	VERB
american_scientific_journal-3632	116	13	that	that	SCONJ
american_scientific_journal-3632	116	14	if	if	SCONJ
american_scientific_journal-3632	116	15	there	there	PRON
american_scientific_journal-3632	116	16	exists	exist	VERB
american_scientific_journal-3632	116	17	a	a	DET
american_scientific_journal-3632	116	18	solution	solution	NOUN
american_scientific_journal-3632	116	19	based	base	VERB
american_scientific_journal-3632	116	20	on	on	ADP
american_scientific_journal-3632	116	21	time	time	NOUN
american_scientific_journal-3632	116	22	[	[	X
american_scientific_journal-3632	116	23	0	0	NUM
american_scientific_journal-3632	116	24	,	,	PUNCT
american_scientific_journal-3632	116	25	tmax	tmax	NUM
american_scientific_journal-3632	116	26	)	)	PUNCT
american_scientific_journal-3632	116	27	and	and	CCONJ
american_scientific_journal-3632	116	28	if	if	SCONJ
american_scientific_journal-3632	116	29	x(0	x(0	PROPN
american_scientific_journal-3632	116	30	)	)	PUNCT
american_scientific_journal-3632	116	31	>	>	X
american_scientific_journal-3632	116	32	0	0	PUNCT
american_scientific_journal-3632	116	33	and	and	CCONJ
american_scientific_journal-3632	116	34	y(0	y(0	PROPN
american_scientific_journal-3632	116	35	)	)	PUNCT
american_scientific_journal-3632	116	36	>	>	X
american_scientific_journal-3632	117	1	-	-	NOUN
american_scientific_journal-3632	117	2	then	then	ADV
american_scientific_journal-3632	117	3	x(t	x(t	PROPN
american_scientific_journal-3632	117	4	)	)	PUNCT
american_scientific_journal-3632	117	5	>	>	X
american_scientific_journal-3632	117	6	0	0	NUM
american_scientific_journal-3632	117	7	,	,	PUNCT
american_scientific_journal-3632	117	8	y(t	y(t	NUM
american_scientific_journal-3632	117	9	)	)	PUNCT
american_scientific_journal-3632	117	10	>	>	X
american_scientific_journal-3632	118	1	-	-	NOUN
american_scientific_journal-3632	118	2	on	on	ADP
american_scientific_journal-3632	118	3	[	[	NOUN
american_scientific_journal-3632	118	4	0,tmax	0,tmax	NUM
american_scientific_journal-3632	118	5	)	)	PUNCT
american_scientific_journal-3632	118	6	.	.	PUNCT
american_scientific_journal-3632	119	1	proof	proof	NOUN
american_scientific_journal-3632	119	2	can	can	AUX
american_scientific_journal-3632	119	3	be	be	AUX
american_scientific_journal-3632	119	4	found	find	VERB
american_scientific_journal-3632	119	5	in	in	ADP
american_scientific_journal-3632	119	6	the	the	DET
american_scientific_journal-3632	119	7	appendix	appendix	NOUN
american_scientific_journal-3632	119	8	.	.	PUNCT
american_scientific_journal-3632	120	1	we	we	PRON
american_scientific_journal-3632	120	2	will	will	AUX
american_scientific_journal-3632	120	3	now	now	ADV
american_scientific_journal-3632	120	4	try	try	VERB
american_scientific_journal-3632	120	5	to	to	PART
american_scientific_journal-3632	120	6	show	show	VERB
american_scientific_journal-3632	120	7	that	that	SCONJ
american_scientific_journal-3632	120	8	the	the	DET
american_scientific_journal-3632	120	9	solution	solution	NOUN
american_scientific_journal-3632	120	10	which	which	PRON
american_scientific_journal-3632	120	11	exists	exist	VERB
american_scientific_journal-3632	120	12	is	be	AUX
american_scientific_journal-3632	120	13	global	global	ADJ
american_scientific_journal-3632	120	14	,	,	PUNCT
american_scientific_journal-3632	120	15	and	and	CCONJ
american_scientific_journal-3632	120	16	tmax	tmax	ADP
american_scientific_journal-3632	120	17	=	=	PUNCT
american_scientific_journal-3632	121	1	+	+	PUNCT
american_scientific_journal-3632	121	2	.	.	ADJ
american_scientific_journal-3632	121	3	it	it	PRON
american_scientific_journal-3632	121	4	is	be	AUX
american_scientific_journal-3632	121	5	sufficient	sufficient	ADJ
american_scientific_journal-3632	121	6	for	for	SCONJ
american_scientific_journal-3632	121	7	us	we	PRON
american_scientific_journal-3632	121	8	to	to	PART
american_scientific_journal-3632	121	9	prove	prove	VERB
american_scientific_journal-3632	121	10	that	that	SCONJ
american_scientific_journal-3632	121	11	(	(	PUNCT
american_scientific_journal-3632	121	12	x(t	x(t	PROPN
american_scientific_journal-3632	121	13	)	)	PUNCT
american_scientific_journal-3632	121	14	,	,	PUNCT
american_scientific_journal-3632	121	15	y(t	y(t	NOUN
american_scientific_journal-3632	121	16	)	)	PUNCT
american_scientific_journal-3632	121	17	)	)	PUNCT
american_scientific_journal-3632	121	18	is	be	AUX
american_scientific_journal-3632	121	19	bounded	bound	VERB
american_scientific_journal-3632	121	20	,	,	PUNCT
american_scientific_journal-3632	121	21	and	and	CCONJ
american_scientific_journal-3632	121	22	for	for	ADP
american_scientific_journal-3632	121	23	that	that	PRON
american_scientific_journal-3632	121	24	we	we	PRON
american_scientific_journal-3632	121	25	will	will	AUX
american_scientific_journal-3632	121	26	use	use	VERB
american_scientific_journal-3632	121	27	lyapunov	lyapunov	PROPN
american_scientific_journal-3632	121	28	's	's	PART
american_scientific_journal-3632	121	29	theorem	theorem	NOUN
american_scientific_journal-3632	121	30	[	[	X
american_scientific_journal-3632	121	31	18	18	NUM
american_scientific_journal-3632	121	32	]	]	PUNCT
american_scientific_journal-3632	121	33	.	.	PUNCT
american_scientific_journal-3632	122	1	the	the	DET
american_scientific_journal-3632	122	2	construction	construction	NOUN
american_scientific_journal-3632	122	3	of	of	ADP
american_scientific_journal-3632	122	4	the	the	DET
american_scientific_journal-3632	122	5	lyapunov	lyapunov	ADJ
american_scientific_journal-3632	122	6	function	function	NOUN
american_scientific_journal-3632	122	7	requires	require	VERB
american_scientific_journal-3632	122	8	knowledge	knowledge	NOUN
american_scientific_journal-3632	122	9	of	of	ADP
american_scientific_journal-3632	122	10	the	the	DET
american_scientific_journal-3632	122	11	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	122	12	state	state	NOUN
american_scientific_journal-3632	122	13	in	in	ADP
american_scientific_journal-3632	122	14	the	the	DET
american_scientific_journal-3632	122	15	dynamic	dynamic	ADJ
american_scientific_journal-3632	122	16	system	system	NOUN
american_scientific_journal-3632	122	17	s2	s2	NOUN
american_scientific_journal-3632	122	18	to	to	PART
american_scientific_journal-3632	122	19	thus	thus	ADV
american_scientific_journal-3632	122	20	obtain	obtain	VERB
american_scientific_journal-3632	122	21	the	the	DET
american_scientific_journal-3632	122	22	point	point	NOUN
american_scientific_journal-3632	122	23	(	(	PUNCT
american_scientific_journal-3632	122	24	x	x	PROPN
american_scientific_journal-3632	122	25	,	,	PUNCT
american_scientific_journal-3632	122	26	y	y	NOUN
american_scientific_journal-3632	122	27	)	)	PUNCT
american_scientific_journal-3632	122	28	,	,	PUNCT
american_scientific_journal-3632	122	29	where	where	SCONJ
american_scientific_journal-3632	122	30	neither	neither	PRON
american_scientific_journal-3632	122	31	of	of	ADP
american_scientific_journal-3632	122	32	the	the	DET
american_scientific_journal-3632	122	33	two	two	NUM
american_scientific_journal-3632	122	34	variables	variable	NOUN
american_scientific_journal-3632	122	35	evolves	evolve	VERB
american_scientific_journal-3632	122	36	.	.	PUNCT
american_scientific_journal-3632	123	1	we	we	PRON
american_scientific_journal-3632	123	2	start	start	VERB
american_scientific_journal-3632	123	3	by	by	ADP
american_scientific_journal-3632	123	4	writing	write	VERB
american_scientific_journal-3632	123	5	the	the	DET
american_scientific_journal-3632	123	6	s2	s2	NOUN
american_scientific_journal-3632	123	7	system	system	NOUN
american_scientific_journal-3632	123	8	in	in	ADP
american_scientific_journal-3632	123	9	its	its	PRON
american_scientific_journal-3632	123	10	matrix	matrix	NOUN
american_scientific_journal-3632	123	11	form	form	NOUN
american_scientific_journal-3632	123	12	:	:	PUNCT
american_scientific_journal-3632	123	13			ADJ
american_scientific_journal-3632	123	14			ADP
american_scientific_journal-3632	123	15			PROPN
american_scientific_journal-3632	123	16			ADP
american_scientific_journal-3632	123	17	x(t	x(t	PROPN
american_scientific_journal-3632	123	18	)	)	PUNCT
american_scientific_journal-3632	124	1	ξ	ξ	NOUN
american_scientific_journal-3632	124	2	y(t)+θ	y(t)+θ	NOUN
american_scientific_journal-3632	124	3	x(t)+	x(t)+	PROPN
american_scientific_journal-3632	124	4	η	η	PROPN
american_scientific_journal-3632	124	5	n(t)x(t	n(t)x(t	NOUN
american_scientific_journal-3632	124	6	)	)	PUNCT
american_scientific_journal-3632	124	7	x(t	x(t	PROPN
american_scientific_journal-3632	124	8	)	)	PUNCT
american_scientific_journal-3632	125	1	=	=	PUNCT
american_scientific_journal-3632	125	2	=	=	SYM
american_scientific_journal-3632	125	3	y(t	y(t	NUM
american_scientific_journal-3632	125	4	)	)	PUNCT
american_scientific_journal-3632	125	5	α'(y(t)+	α'(y(t)+	PROPN
american_scientific_journal-3632	125	6	δ	δ	PROPN
american_scientific_journal-3632	125	7	)	)	PUNCT
american_scientific_journal-3632	125	8	x(t	x(t	PROPN
american_scientific_journal-3632	125	9	)	)	PUNCT
american_scientific_journal-3632	125	10	y(t)+	y(t)+	NOUN
american_scientific_journal-3632	125	11	n(t	n(t	PROPN
american_scientific_journal-3632	125	12	)	)	PUNCT
american_scientific_journal-3632	125	13			NOUN
american_scientific_journal-3632	125	14			PROPN
american_scientific_journal-3632	125	15			PROPN
american_scientific_journal-3632	125	16			PROPN
american_scientific_journal-3632	126	1			NOUN
american_scientific_journal-3632	127	1			PROPN
american_scientific_journal-3632	128	1			ADJ
american_scientific_journal-3632	128	2			PROPN
american_scientific_journal-3632	128	3			PROPN
american_scientific_journal-3632	128	4			NOUN
american_scientific_journal-3632	128	5	,	,	PUNCT
american_scientific_journal-3632	128	6	which	which	PRON
american_scientific_journal-3632	128	7	is	be	AUX
american_scientific_journal-3632	128	8	equivalent	equivalent	ADJ
american_scientific_journal-3632	128	9	to	to	ADP
american_scientific_journal-3632	128	10	,	,	PUNCT
american_scientific_journal-3632	128	11	x(t	x(t	PROPN
american_scientific_journal-3632	128	12	)	)	PUNCT
american_scientific_journal-3632	128	13	=	=	SYM
american_scientific_journal-3632	128	14	diag(x(t	diag(x(t	NOUN
american_scientific_journal-3632	128	15	)	)	PUNCT
american_scientific_journal-3632	128	16	,	,	PUNCT
american_scientific_journal-3632	128	17	y(t	y(t	NUM
american_scientific_journal-3632	128	18	)	)	PUNCT
american_scientific_journal-3632	129	1	+	+	CCONJ
american_scientific_journal-3632	129	2	δ)[ax(t	δ)[ax(t	PROPN
american_scientific_journal-3632	129	3	)	)	PUNCT
american_scientific_journal-3632	129	4	+	+	NOUN
american_scientific_journal-3632	130	1	b	b	X
american_scientific_journal-3632	130	2	]	]	X
american_scientific_journal-3632	130	3	where	where	SCONJ
american_scientific_journal-3632	130	4	,	,	PUNCT
american_scientific_journal-3632	130	5	θ	θ	PROPN
american_scientific_journal-3632	130	6	ξ	ξ	X
american_scientific_journal-3632	130	7	a	a	DET
american_scientific_journal-3632	130	8	=	=	NOUN
american_scientific_journal-3632	130	9	α	α	NOUN
american_scientific_journal-3632	130	10	'	'	PUNCT
american_scientific_journal-3632	130	11	-α	-α	NOUN
american_scientific_journal-3632	130	12	'	'	PUNCT
american_scientific_journal-3632	130	13			NOUN
american_scientific_journal-3632	130	14			PROPN
american_scientific_journal-3632	130	15			PROPN
american_scientific_journal-3632	130	16			PROPN
american_scientific_journal-3632	130	17			PROPN
american_scientific_journal-3632	130	18			NOUN
american_scientific_journal-3632	130	19	,	,	PUNCT
american_scientific_journal-3632	130	20	x(t	x(t	PROPN
american_scientific_journal-3632	130	21	)	)	PUNCT
american_scientific_journal-3632	130	22	x(t	x(t	PROPN
american_scientific_journal-3632	130	23	)	)	PUNCT
american_scientific_journal-3632	130	24	=	=	SYM
american_scientific_journal-3632	130	25	y(t	y(t	X
american_scientific_journal-3632	130	26	)	)	PUNCT
american_scientific_journal-3632	131	1			NOUN
american_scientific_journal-3632	131	2			PROPN
american_scientific_journal-3632	132	1			PROPN
american_scientific_journal-3632	133	1			PROPN
american_scientific_journal-3632	134	1			ADJ
american_scientific_journal-3632	134	2			NOUN
american_scientific_journal-3632	134	3	and	and	CCONJ
american_scientific_journal-3632	134	4	ηn(t	ηn(t	NOUN
american_scientific_journal-3632	134	5	)	)	PUNCT
american_scientific_journal-3632	134	6	b	b	X
american_scientific_journal-3632	134	7	=	=	SYM
american_scientific_journal-3632	134	8	α'n(t	α'n(t	PROPN
american_scientific_journal-3632	134	9	)	)	PUNCT
american_scientific_journal-3632	135	1			NOUN
american_scientific_journal-3632	135	2			PROPN
american_scientific_journal-3632	135	3			PROPN
american_scientific_journal-3632	135	4			PROPN
american_scientific_journal-3632	136	1			ADJ
american_scientific_journal-3632	136	2			NOUN
american_scientific_journal-3632	136	3	.	.	PUNCT
american_scientific_journal-3632	137	1	the	the	DET
american_scientific_journal-3632	137	2	determinant	determinant	NOUN
american_scientific_journal-3632	137	3	of	of	ADP
american_scientific_journal-3632	137	4	matrix	matrix	NOUN
american_scientific_journal-3632	137	5	a	a	PRON
american_scientific_journal-3632	137	6	is	be	AUX
american_scientific_journal-3632	137	7	thus	thus	ADV
american_scientific_journal-3632	137	8	equal	equal	ADJ
american_scientific_journal-3632	137	9	to	to	ADP
american_scientific_journal-3632	137	10	'(	'(	NOUN
american_scientific_journal-3632	137	11	+	+	CCONJ
american_scientific_journal-3632	137	12			NOUN
american_scientific_journal-3632	137	13	)	)	PUNCT
american_scientific_journal-3632	137	14	,	,	PUNCT
american_scientific_journal-3632	137	15	which	which	PRON
american_scientific_journal-3632	137	16	enables	enable	VERB
american_scientific_journal-3632	137	17	us	we	PRON
american_scientific_journal-3632	137	18	to	to	PART
american_scientific_journal-3632	137	19	say	say	VERB
american_scientific_journal-3632	137	20	that	that	SCONJ
american_scientific_journal-3632	137	21	the	the	DET
american_scientific_journal-3632	137	22	point	point	NOUN
american_scientific_journal-3632	137	23	representing	represent	VERB
american_scientific_journal-3632	137	24	the	the	DET
american_scientific_journal-3632	137	25	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	137	26	state	state	NOUN
american_scientific_journal-3632	137	27	between	between	ADP
american_scientific_journal-3632	137	28	capital	capital	NOUN
american_scientific_journal-3632	137	29	and	and	CCONJ
american_scientific_journal-3632	137	30	knowledge	knowledge	NOUN
american_scientific_journal-3632	137	31	growth	growth	NOUN
american_scientific_journal-3632	137	32	rates	rate	NOUN
american_scientific_journal-3632	137	33	(	(	PUNCT
american_scientific_journal-3632	137	34	x	x	PROPN
american_scientific_journal-3632	137	35	,	,	PUNCT
american_scientific_journal-3632	137	36	y	y	NOUN
american_scientific_journal-3632	137	37	)	)	PUNCT
american_scientific_journal-3632	137	38			NOUN
american_scientific_journal-3632	137	39	2	2	NUM
american_scientific_journal-3632	137	40	r+	r+	NOUN
american_scientific_journal-3632	137	41	,	,	PUNCT
american_scientific_journal-3632	137	42	as	as	SCONJ
american_scientific_journal-3632	137	43	we	we	PRON
american_scientific_journal-3632	137	44	explain	explain	VERB
american_scientific_journal-3632	137	45	below	below	ADV
american_scientific_journal-3632	137	46	,	,	PUNCT
american_scientific_journal-3632	137	47	is	be	AUX
american_scientific_journal-3632	137	48	the	the	DET
american_scientific_journal-3632	137	49	unique	unique	ADJ
american_scientific_journal-3632	137	50	point	point	NOUN
american_scientific_journal-3632	137	51	of	of	ADP
american_scientific_journal-3632	137	52	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	137	53	if	if	SCONJ
american_scientific_journal-3632	137	54	,	,	PUNCT
american_scientific_journal-3632	137	55	and	and	CCONJ
american_scientific_journal-3632	137	56	only	only	ADV
american_scientific_journal-3632	137	57	if	if	SCONJ
american_scientific_journal-3632	137	58	,	,	PUNCT
american_scientific_journal-3632	137	59	deta	deta	PROPN
american_scientific_journal-3632	137	60			NOUN
american_scientific_journal-3632	137	61	0	0	NUM
american_scientific_journal-3632	137	62	.	.	PUNCT
american_scientific_journal-3632	138	1	as	as	SCONJ
american_scientific_journal-3632	138	2	the	the	DET
american_scientific_journal-3632	138	3	inverse	inverse	NOUN
american_scientific_journal-3632	138	4	matrix	matrix	NOUN
american_scientific_journal-3632	138	5	is	be	AUX
american_scientific_journal-3632	138	6	given	give	VERB
american_scientific_journal-3632	138	7	by	by	ADP
american_scientific_journal-3632	138	8	:	:	PUNCT
american_scientific_journal-3632	138	9	10	10	NUM
american_scientific_journal-3632	138	10	like	like	INTJ
american_scientific_journal-3632	138	11	s2	s2	PROPN
american_scientific_journal-3632	138	12	.	.	PUNCT
american_scientific_journal-3632	139	1	11this	11this	DET
american_scientific_journal-3632	139	2	theorem	theorem	NOUN
american_scientific_journal-3632	139	3	was	be	AUX
american_scientific_journal-3632	139	4	first	first	ADV
american_scientific_journal-3632	139	5	introduced	introduce	VERB
american_scientific_journal-3632	139	6	by	by	ADP
american_scientific_journal-3632	139	7	cauchy	cauchy	NOUN
american_scientific_journal-3632	139	8	in	in	ADP
american_scientific_journal-3632	139	9	1844	1844	NUM
american_scientific_journal-3632	139	10	then	then	ADV
american_scientific_journal-3632	139	11	generalized	generalize	VERB
american_scientific_journal-3632	139	12	by	by	ADP
american_scientific_journal-3632	139	13	lipschitz	lipschitz	NOUN
american_scientific_journal-3632	139	14	;	;	PUNCT
american_scientific_journal-3632	139	15	not	not	PART
american_scientific_journal-3632	139	16	long	long	ADV
american_scientific_journal-3632	139	17	after	after	ADV
american_scientific_journal-3632	139	18	,	,	PUNCT
american_scientific_journal-3632	139	19	a	a	DET
american_scientific_journal-3632	139	20	demonstration	demonstration	NOUN
american_scientific_journal-3632	139	21	of	of	ADP
american_scientific_journal-3632	139	22	this	this	DET
american_scientific_journal-3632	139	23	fundamental	fundamental	ADJ
american_scientific_journal-3632	139	24	outcome	outcome	NOUN
american_scientific_journal-3632	139	25	could	could	AUX
american_scientific_journal-3632	139	26	be	be	AUX
american_scientific_journal-3632	139	27	found	find	VERB
american_scientific_journal-3632	139	28	in	in	ADP
american_scientific_journal-3632	139	29	[	[	X
american_scientific_journal-3632	139	30	34	34	NUM
american_scientific_journal-3632	139	31	]	]	PUNCT
american_scientific_journal-3632	139	32	,	,	PUNCT
american_scientific_journal-3632	139	33	chapter	chapter	NOUN
american_scientific_journal-3632	139	34	15	15	NUM
american_scientific_journal-3632	139	35	.	.	PUNCT
american_scientific_journal-3632	140	1	american	american	PROPN
american_scientific_journal-3632	140	2	scientific	scientific	ADJ
american_scientific_journal-3632	140	3	research	research	PROPN
american_scientific_journal-3632	140	4	journal	journal	NOUN
american_scientific_journal-3632	140	5	for	for	ADP
american_scientific_journal-3632	140	6	engineering	engineering	NOUN
american_scientific_journal-3632	140	7	,	,	PUNCT
american_scientific_journal-3632	140	8	technology	technology	NOUN
american_scientific_journal-3632	140	9	,	,	PUNCT
american_scientific_journal-3632	140	10	and	and	CCONJ
american_scientific_journal-3632	140	11	sciences	science	NOUN
american_scientific_journal-3632	140	12	(	(	PUNCT
american_scientific_journal-3632	140	13	asrjets	asrjet	NOUN
american_scientific_journal-3632	140	14	)	)	PUNCT
american_scientific_journal-3632	140	15	(	(	PUNCT
american_scientific_journal-3632	140	16	2018	2018	NUM
american_scientific_journal-3632	140	17	)	)	PUNCT
american_scientific_journal-3632	140	18	volume	volume	NOUN
american_scientific_journal-3632	140	19	39	39	NUM
american_scientific_journal-3632	140	20	,	,	PUNCT
american_scientific_journal-3632	140	21	no	no	DET
american_scientific_journal-3632	140	22	1	1	NUM
american_scientific_journal-3632	140	23	,	,	PUNCT
american_scientific_journal-3632	140	24	pp	pp	ADJ
american_scientific_journal-3632	140	25	138	138	NUM
american_scientific_journal-3632	140	26	-	-	SYM
american_scientific_journal-3632	140	27	158	158	NUM
american_scientific_journal-3632	141	1	144	144	NUM
american_scientific_journal-3632	141	2	1	1	NUM
american_scientific_journal-3632	141	3	-α	-α	NOUN
american_scientific_journal-3632	141	4	'	'	PUNCT
american_scientific_journal-3632	141	5	-ξ-1	-ξ-1	NOUN
american_scientific_journal-3632	141	6	a	a	DET
american_scientific_journal-3632	141	7	=	=	NOUN
american_scientific_journal-3632	141	8	-α	-α	NOUN
american_scientific_journal-3632	141	9	'	'	PUNCT
american_scientific_journal-3632	141	10	θ	θ	NOUN
american_scientific_journal-3632	141	11	-	-	PUNCT
american_scientific_journal-3632	141	12	α'(θ	α'(θ	ADJ
american_scientific_journal-3632	141	13	+	+	CCONJ
american_scientific_journal-3632	141	14	ξ	ξ	X
american_scientific_journal-3632	141	15	)	)	PUNCT
american_scientific_journal-3632	141	16			NOUN
american_scientific_journal-3632	141	17			PROPN
american_scientific_journal-3632	141	18			PROPN
american_scientific_journal-3632	141	19			PROPN
american_scientific_journal-3632	142	1			PROPN
american_scientific_journal-3632	142	2			NOUN
american_scientific_journal-3632	142	3	the	the	DET
american_scientific_journal-3632	142	4	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	142	5	point(s	point(s	NOUN
american_scientific_journal-3632	142	6	)	)	PUNCT
american_scientific_journal-3632	142	7	are	be	AUX
american_scientific_journal-3632	142	8	written	write	VERB
american_scientific_journal-3632	142	9	as	as	SCONJ
american_scientific_journal-3632	142	10	follows	follow	VERB
american_scientific_journal-3632	142	11	:	:	PUNCT
american_scientific_journal-3632	142	12	-ηn1	-ηn1	PRON
american_scientific_journal-3632	142	13	-α	-α	NOUN
american_scientific_journal-3632	142	14	'	'	PUNCT
american_scientific_journal-3632	142	15	-ξ-1	-ξ-1	NOUN
american_scientific_journal-3632	142	16	x	x	X
american_scientific_journal-3632	143	1	=	=	PUNCT
american_scientific_journal-3632	143	2	a	a	PRON
american_scientific_journal-3632	143	3	(	(	PUNCT
american_scientific_journal-3632	143	4	-b	-b	PUNCT
american_scientific_journal-3632	143	5	)	)	PUNCT
american_scientific_journal-3632	143	6	=	=	SYM
american_scientific_journal-3632	144	1	-α'n	-α'n	NUM
american_scientific_journal-3632	144	2	-	-	PUNCT
american_scientific_journal-3632	144	3	α	α	NOUN
american_scientific_journal-3632	144	4	'	'	PUNCT
american_scientific_journal-3632	144	5	θ	θ	NOUN
american_scientific_journal-3632	144	6	-	-	PUNCT
american_scientific_journal-3632	144	7	α'(θ	α'(θ	ADJ
american_scientific_journal-3632	144	8	+	+	CCONJ
american_scientific_journal-3632	144	9	ξ	ξ	X
american_scientific_journal-3632	144	10	)	)	PUNCT
american_scientific_journal-3632	144	11			VERB
american_scientific_journal-3632	144	12			VERB
american_scientific_journal-3632	144	13			NOUN
american_scientific_journal-3632	144	14			NOUN
american_scientific_journal-3632	144	15			NOUN
american_scientific_journal-3632	144	16			PROPN
american_scientific_journal-3632	144	17			PROPN
american_scientific_journal-3632	144	18			PROPN
american_scientific_journal-3632	145	1			NOUN
american_scientific_journal-3632	145	2			PROPN
american_scientific_journal-3632	146	1			ADJ
american_scientific_journal-3632	146	2			NOUN
american_scientific_journal-3632	146	3			NOUN
american_scientific_journal-3632	146	4	-(η	-(η	PUNCT
american_scientific_journal-3632	146	5	+	+	NUM
american_scientific_journal-3632	146	6	ξ)n1	ξ)n1	PROPN
american_scientific_journal-3632	146	7	=	=	SYM
american_scientific_journal-3632	146	8	(	(	PUNCT
american_scientific_journal-3632	146	9	θ	θ	X
american_scientific_journal-3632	146	10	η)n(θ	η)n(θ	X
american_scientific_journal-3632	146	11	+	+	CCONJ
american_scientific_journal-3632	146	12	ξ	ξ	X
american_scientific_journal-3632	146	13	)	)	PUNCT
american_scientific_journal-3632	146	14			NOUN
american_scientific_journal-3632	146	15			VERB
american_scientific_journal-3632	146	16			NOUN
american_scientific_journal-3632	146	17			PROPN
american_scientific_journal-3632	146	18			PROPN
american_scientific_journal-3632	146	19			PROPN
american_scientific_journal-3632	147	1			ADJ
american_scientific_journal-3632	147	2			NOUN
american_scientific_journal-3632	147	3	hence	hence	ADV
american_scientific_journal-3632	147	4	,	,	PUNCT
american_scientific_journal-3632	147	5	η	η	PROPN
american_scientific_journal-3632	147	6	+	+	PROPN
american_scientific_journal-3632	147	7	ξ	ξ	X
american_scientific_journal-3632	147	8	x	x	SYM
american_scientific_journal-3632	147	9	=	=	PUNCT
american_scientific_journal-3632	147	10	n	n	PRON
american_scientific_journal-3632	147	11	θ	θ	NOUN
american_scientific_journal-3632	147	12	+	+	PUNCT
american_scientific_journal-3632	147	13	ξ	ξ	PROPN
american_scientific_journal-3632	147	14	θ	θ	PROPN
american_scientific_journal-3632	147	15	η	η	PROPN
american_scientific_journal-3632	147	16	y	y	PROPN
american_scientific_journal-3632	147	17	=	=	PROPN
american_scientific_journal-3632	147	18	n	n	PROPN
american_scientific_journal-3632	147	19	θ	θ	NOUN
american_scientific_journal-3632	147	20	+	+	PUNCT
american_scientific_journal-3632	148	1	ξ	ξ	X
american_scientific_journal-3632	148	2			NOUN
american_scientific_journal-3632	148	3			VERB
american_scientific_journal-3632	148	4			NOUN
american_scientific_journal-3632	148	5			NOUN
american_scientific_journal-3632	148	6			ADP
american_scientific_journal-3632	148	7			NOUN
american_scientific_journal-3632	149	1			NOUN
american_scientific_journal-3632	149	2			NUM
american_scientific_journal-3632	149	3			NOUN
american_scientific_journal-3632	149	4	we	we	PRON
american_scientific_journal-3632	149	5	find	find	VERB
american_scientific_journal-3632	149	6	that	that	SCONJ
american_scientific_journal-3632	149	7	at	at	ADP
american_scientific_journal-3632	149	8	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	149	9	,	,	PUNCT
american_scientific_journal-3632	149	10	the	the	DET
american_scientific_journal-3632	149	11	values	value	NOUN
american_scientific_journal-3632	149	12	of	of	ADP
american_scientific_journal-3632	149	13	the	the	DET
american_scientific_journal-3632	149	14	two	two	NUM
american_scientific_journal-3632	149	15	system	system	NOUN
american_scientific_journal-3632	149	16	variables	variable	NOUN
american_scientific_journal-3632	149	17	,	,	PUNCT
american_scientific_journal-3632	149	18	depending	depend	VERB
american_scientific_journal-3632	149	19	on	on	ADP
american_scientific_journal-3632	149	20	the	the	DET
american_scientific_journal-3632	149	21	four	four	NUM
american_scientific_journal-3632	149	22	parameters	parameter	NOUN
american_scientific_journal-3632	149	23			NUM
american_scientific_journal-3632	149	24	,	,	PUNCT
american_scientific_journal-3632	149	25			NOUN
american_scientific_journal-3632	149	26	,	,	PUNCT
american_scientific_journal-3632	149	27			PROPN
american_scientific_journal-3632	149	28	,	,	PUNCT
american_scientific_journal-3632	149	29	n	n	NOUN
american_scientific_journal-3632	149	30	remain	remain	VERB
american_scientific_journal-3632	149	31	stable	stable	ADJ
american_scientific_journal-3632	149	32	indefinitely	indefinitely	ADV
american_scientific_journal-3632	149	33	12	12	NUM
american_scientific_journal-3632	149	34	,	,	PUNCT
american_scientific_journal-3632	149	35	we	we	PRON
american_scientific_journal-3632	149	36	also	also	ADV
american_scientific_journal-3632	149	37	remark	remark	VERB
american_scientific_journal-3632	149	38	that	that	SCONJ
american_scientific_journal-3632	149	39	the	the	DET
american_scientific_journal-3632	149	40	capital	capital	NOUN
american_scientific_journal-3632	149	41	depreciation	depreciation	NOUN
american_scientific_journal-3632	149	42	rate	rate	NOUN
american_scientific_journal-3632	149	43	"	"	PUNCT
american_scientific_journal-3632	149	44			NOUN
american_scientific_journal-3632	149	45	"	"	PUNCT
american_scientific_journal-3632	149	46	has	have	VERB
american_scientific_journal-3632	149	47	no	no	DET
american_scientific_journal-3632	149	48	impact	impact	NOUN
american_scientific_journal-3632	149	49	on	on	ADP
american_scientific_journal-3632	149	50	the	the	DET
american_scientific_journal-3632	149	51	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	149	52	point	point	NOUN
american_scientific_journal-3632	149	53	.	.	PUNCT
american_scientific_journal-3632	150	1	we	we	PRON
american_scientific_journal-3632	150	2	will	will	AUX
american_scientific_journal-3632	150	3	now	now	ADV
american_scientific_journal-3632	150	4	proceed	proceed	VERB
american_scientific_journal-3632	150	5	to	to	ADP
american_scientific_journal-3632	150	6	the	the	DET
american_scientific_journal-3632	150	7	second	second	ADJ
american_scientific_journal-3632	150	8	stage	stage	NOUN
american_scientific_journal-3632	150	9	of	of	ADP
american_scientific_journal-3632	150	10	our	our	PRON
american_scientific_journal-3632	150	11	study	study	NOUN
american_scientific_journal-3632	150	12	which	which	PRON
american_scientific_journal-3632	150	13	consists	consist	VERB
american_scientific_journal-3632	150	14	of	of	ADP
american_scientific_journal-3632	150	15	determining	determine	VERB
american_scientific_journal-3632	150	16	the	the	DET
american_scientific_journal-3632	150	17	lyapunov13	lyapunov13	NOUN
american_scientific_journal-3632	150	18	function	function	VERB
american_scientific_journal-3632	150	19	"	"	PUNCT
american_scientific_journal-3632	150	20	v(x(t),y(t	v(x(t),y(t	PROPN
american_scientific_journal-3632	150	21	)	)	PUNCT
american_scientific_journal-3632	150	22	)	)	PUNCT
american_scientific_journal-3632	150	23	"	"	PUNCT
american_scientific_journal-3632	150	24	which	which	PRON
american_scientific_journal-3632	150	25	has	have	VERB
american_scientific_journal-3632	150	26	certain	certain	ADJ
american_scientific_journal-3632	150	27	properties	property	NOUN
american_scientific_journal-3632	150	28	linked	link	VERB
american_scientific_journal-3632	150	29	to	to	ADP
american_scientific_journal-3632	150	30	system	system	NOUN
american_scientific_journal-3632	150	31	(	(	PUNCT
american_scientific_journal-3632	150	32	1	1	NUM
american_scientific_journal-3632	150	33	)	)	PUNCT
american_scientific_journal-3632	150	34	.	.	PUNCT
american_scientific_journal-3632	151	1	based	base	VERB
american_scientific_journal-3632	151	2	on	on	ADP
american_scientific_journal-3632	151	3	the	the	DET
american_scientific_journal-3632	151	4	literature	literature	NOUN
american_scientific_journal-3632	151	5	14	14	NUM
american_scientific_journal-3632	151	6	surrounding	surround	VERB
american_scientific_journal-3632	151	7	differential	differential	ADJ
american_scientific_journal-3632	151	8	equation	equation	NOUN
american_scientific_journal-3632	151	9	systems	system	NOUN
american_scientific_journal-3632	151	10	15	15	NUM
american_scientific_journal-3632	151	11	,	,	PUNCT
american_scientific_journal-3632	151	12	where	where	SCONJ
american_scientific_journal-3632	151	13	the	the	DET
american_scientific_journal-3632	151	14	lyapunov	lyapunov	ADJ
american_scientific_journal-3632	151	15	function	function	NOUN
american_scientific_journal-3632	151	16	is	be	AUX
american_scientific_journal-3632	151	17	conventional	conventional	ADJ
american_scientific_journal-3632	151	18	for	for	ADP
american_scientific_journal-3632	151	19	n(t	n(t	PROPN
american_scientific_journal-3632	151	20	)	)	PUNCT
american_scientific_journal-3632	151	21	=	=	SYM
american_scientific_journal-3632	151	22	0	0	NUM
american_scientific_journal-3632	151	23	,	,	PUNCT
american_scientific_journal-3632	151	24	we	we	PRON
american_scientific_journal-3632	151	25	construct	construct	VERB
american_scientific_journal-3632	151	26	a	a	DET
american_scientific_journal-3632	151	27	lyapunov	lyapunov	ADJ
american_scientific_journal-3632	151	28	function	function	NOUN
american_scientific_journal-3632	151	29	in	in	ADP
american_scientific_journal-3632	151	30	a	a	DET
american_scientific_journal-3632	151	31	general	general	ADJ
american_scientific_journal-3632	151	32	context	context	NOUN
american_scientific_journal-3632	151	33	where	where	SCONJ
american_scientific_journal-3632	151	34	the	the	DET
american_scientific_journal-3632	151	35	employment	employment	NOUN
american_scientific_journal-3632	151	36	growth	growth	NOUN
american_scientific_journal-3632	151	37	rate	rate	NOUN
american_scientific_journal-3632	151	38	n(t	n(t	PROPN
american_scientific_journal-3632	151	39	)	)	PUNCT
american_scientific_journal-3632	151	40	is	be	AUX
american_scientific_journal-3632	151	41	a	a	DET
american_scientific_journal-3632	151	42	variable	variable	NOUN
american_scientific_journal-3632	151	43	which	which	PRON
american_scientific_journal-3632	151	44	depends	depend	VERB
american_scientific_journal-3632	151	45	on	on	ADP
american_scientific_journal-3632	151	46	time	time	NOUN
american_scientific_journal-3632	151	47	;	;	PUNCT
american_scientific_journal-3632	151	48	this	this	PRON
american_scientific_journal-3632	151	49	represents	represent	VERB
american_scientific_journal-3632	151	50	a	a	DET
american_scientific_journal-3632	151	51	novelty	novelty	NOUN
american_scientific_journal-3632	151	52	compared	compare	VERB
american_scientific_journal-3632	151	53	with	with	ADP
american_scientific_journal-3632	151	54	previous	previous	ADJ
american_scientific_journal-3632	151	55	works	work	NOUN
american_scientific_journal-3632	151	56	.	.	PUNCT
american_scientific_journal-3632	152	1	let	let	VERB
american_scientific_journal-3632	152	2	,	,	PUNCT
american_scientific_journal-3632	152	3	x(t	x(t	PROPN
american_scientific_journal-3632	152	4	)	)	PUNCT
american_scientific_journal-3632	152	5	2θ	2θ	NUM
american_scientific_journal-3632	153	1	+	+	SYM
american_scientific_journal-3632	153	2	ξ	ξ	SYM
american_scientific_journal-3632	153	3	y(t)+	y(t)+	NOUN
american_scientific_journal-3632	153	4	δ	δ	PROPN
american_scientific_journal-3632	153	5	t	t	PROPN
american_scientific_journal-3632	153	6	v(x(t	v(x(t	PROPN
american_scientific_journal-3632	153	7	)	)	PUNCT
american_scientific_journal-3632	153	8	,	,	PUNCT
american_scientific_journal-3632	153	9	y(t),t	y(t),t	X
american_scientific_journal-3632	153	10	)	)	PUNCT
american_scientific_journal-3632	153	11	=	=	SYM
american_scientific_journal-3632	153	12	x(t	x(t	PROPN
american_scientific_journal-3632	153	13	)	)	PUNCT
american_scientific_journal-3632	153	14	x	x	X
american_scientific_journal-3632	154	1	x	x	X
american_scientific_journal-3632	154	2	ln	ln	PROPN
american_scientific_journal-3632	154	3	y(t	y(t	NOUN
american_scientific_journal-3632	154	4	)	)	PUNCT
american_scientific_journal-3632	154	5	y	y	PROPN
american_scientific_journal-3632	154	6	(	(	PUNCT
american_scientific_journal-3632	154	7	y	y	PROPN
american_scientific_journal-3632	154	8	+	+	PROPN
american_scientific_journal-3632	154	9	δ)ln	δ)ln	PROPN
american_scientific_journal-3632	154	10	a	a	PRON
american_scientific_journal-3632	154	11	(	(	PUNCT
american_scientific_journal-3632	154	12	n(s	n(s	PROPN
american_scientific_journal-3632	154	13	)	)	PUNCT
american_scientific_journal-3632	154	14	n	n	CCONJ
american_scientific_journal-3632	154	15	)	)	PUNCT
american_scientific_journal-3632	154	16	²ds0	²ds0	X
american_scientific_journal-3632	155	1	x	x	X
american_scientific_journal-3632	155	2	α	α	X
american_scientific_journal-3632	155	3	'	'	PUNCT
american_scientific_journal-3632	155	4	y	y	PROPN
american_scientific_journal-3632	155	5	+	+	CCONJ
american_scientific_journal-3632	155	6	δ	δ	NOUN
american_scientific_journal-3632	155	7			VERB
american_scientific_journal-3632	155	8			VERB
american_scientific_journal-3632	155	9			VERB
american_scientific_journal-3632	155	10			NOUN
american_scientific_journal-3632	155	11			NOUN
american_scientific_journal-3632	155	12			NOUN
american_scientific_journal-3632	155	13			NOUN
american_scientific_journal-3632	155	14			NOUN
american_scientific_journal-3632	155	15			PROPN
american_scientific_journal-3632	155	16			PROPN
american_scientific_journal-3632	155	17			PROPN
american_scientific_journal-3632	156	1			PROPN
american_scientific_journal-3632	156	2			NOUN
american_scientific_journal-3632	156	3	(	(	PUNCT
american_scientific_journal-3632	156	4	7	7	NUM
american_scientific_journal-3632	156	5	)	)	PUNCT
american_scientific_journal-3632	156	6	where	where	SCONJ
american_scientific_journal-3632	156	7	a	a	PRON
american_scientific_journal-3632	156	8	is	be	AUX
american_scientific_journal-3632	156	9	a	a	DET
american_scientific_journal-3632	156	10	positive	positive	ADJ
american_scientific_journal-3632	156	11	constant	constant	NOUN
american_scientific_journal-3632	156	12	which	which	PRON
american_scientific_journal-3632	156	13	we	we	PRON
american_scientific_journal-3632	156	14	define	define	VERB
american_scientific_journal-3632	156	15	later	later	ADV
american_scientific_journal-3632	156	16	on	on	ADV
american_scientific_journal-3632	156	17	.	.	PUNCT
american_scientific_journal-3632	157	1	it	it	PRON
american_scientific_journal-3632	157	2	should	should	AUX
american_scientific_journal-3632	157	3	be	be	AUX
american_scientific_journal-3632	157	4	noted	note	VERB
american_scientific_journal-3632	157	5	that	that	SCONJ
american_scientific_journal-3632	157	6	the	the	DET
american_scientific_journal-3632	157	7	function	function	NOUN
american_scientific_journal-3632	157	8	v(x(t	v(x(t	PROPN
american_scientific_journal-3632	157	9	)	)	PUNCT
american_scientific_journal-3632	157	10	,	,	PUNCT
american_scientific_journal-3632	157	11	y(t	y(t	PROPN
american_scientific_journal-3632	157	12	)	)	PUNCT
american_scientific_journal-3632	157	13	,	,	PUNCT
american_scientific_journal-3632	157	14	t	t	PROPN
american_scientific_journal-3632	157	15	)	)	PUNCT
american_scientific_journal-3632	157	16	is	be	AUX
american_scientific_journal-3632	157	17	clearly	clearly	ADV
american_scientific_journal-3632	157	18	defined	define	VERB
american_scientific_journal-3632	157	19	in	in	ADP
american_scientific_journal-3632	157	20	[	[	X
american_scientific_journal-3632	157	21	0	0	NUM
american_scientific_journal-3632	157	22	,	,	PUNCT
american_scientific_journal-3632	157	23	tmax	tmax	PRON
american_scientific_journal-3632	157	24	)	)	PUNCT
american_scientific_journal-3632	157	25	,	,	PUNCT
american_scientific_journal-3632	157	26	because	because	SCONJ
american_scientific_journal-3632	157	27	for	for	ADP
american_scientific_journal-3632	157	28	any	any	DET
american_scientific_journal-3632	157	29	t	t	NOUN
american_scientific_journal-3632	157	30			NOUN
american_scientific_journal-3632	157	31	[	[	X
american_scientific_journal-3632	157	32	0	0	NUM
american_scientific_journal-3632	157	33	,	,	PUNCT
american_scientific_journal-3632	157	34	tmax	tmax	NUM
american_scientific_journal-3632	157	35	)	)	PUNCT
american_scientific_journal-3632	157	36	,	,	PUNCT
american_scientific_journal-3632	157	37	the	the	DET
american_scientific_journal-3632	157	38	solution	solution	NOUN
american_scientific_journal-3632	157	39	of	of	ADP
american_scientific_journal-3632	157	40	the	the	DET
american_scientific_journal-3632	157	41	differential	differential	ADJ
american_scientific_journal-3632	157	42	equations	equation	NOUN
american_scientific_journal-3632	157	43	system	system	NOUN
american_scientific_journal-3632	157	44	(	(	PUNCT
american_scientific_journal-3632	157	45	s2	s2	NOUN
american_scientific_journal-3632	157	46	)	)	PUNCT
american_scientific_journal-3632	157	47	verifies	verifie	NOUN
american_scientific_journal-3632	157	48	:	:	PUNCT
american_scientific_journal-3632	157	49	x(t	x(t	PROPN
american_scientific_journal-3632	157	50	)	)	PUNCT
american_scientific_journal-3632	157	51	>	>	X
american_scientific_journal-3632	157	52	0	0	PUNCT
american_scientific_journal-3632	157	53	and	and	CCONJ
american_scientific_journal-3632	157	54	y(t	y(t	NUM
american_scientific_journal-3632	157	55	)	)	PUNCT
american_scientific_journal-3632	157	56	>	>	X
american_scientific_journal-3632	157	57	-.	-.	VERB
american_scientific_journal-3632	157	58	the	the	DET
american_scientific_journal-3632	157	59	derivative	derivative	NOUN
american_scientific_journal-3632	157	60	of	of	ADP
american_scientific_journal-3632	157	61	the	the	DET
american_scientific_journal-3632	157	62	equation	equation	NOUN
american_scientific_journal-3632	157	63	(	(	PUNCT
american_scientific_journal-3632	157	64	7	7	NUM
american_scientific_journal-3632	157	65	)	)	PUNCT
american_scientific_journal-3632	157	66	in	in	ADP
american_scientific_journal-3632	157	67	relation	relation	NOUN
american_scientific_journal-3632	157	68	to	to	ADP
american_scientific_journal-3632	157	69	time	time	NOUN
american_scientific_journal-3632	157	70	gives	give	VERB
american_scientific_journal-3632	157	71	us	we	PRON
american_scientific_journal-3632	157	72	the	the	DET
american_scientific_journal-3632	157	73	following	follow	VERB
american_scientific_journal-3632	157	74	outcome	outcome	NOUN
american_scientific_journal-3632	157	75	:	:	PUNCT
american_scientific_journal-3632	157	76	x	x	SYM
american_scientific_journal-3632	158	1	y	y	NOUN
american_scientific_journal-3632	158	2	+	+	CCONJ
american_scientific_journal-3632	158	3	δd	δd	ADP
american_scientific_journal-3632	158	4	2θ	2θ	NUM
american_scientific_journal-3632	158	5	+	+	CCONJ
american_scientific_journal-3632	158	6	ξ	ξ	PRON
american_scientific_journal-3632	158	7	v(x(t	v(x(t	NOUN
american_scientific_journal-3632	158	8	)	)	PUNCT
american_scientific_journal-3632	158	9	,	,	PUNCT
american_scientific_journal-3632	158	10	y(t),t	y(t),t	X
american_scientific_journal-3632	158	11	)	)	PUNCT
american_scientific_journal-3632	158	12	=	=	SYM
american_scientific_journal-3632	158	13	1	1	NUM
american_scientific_journal-3632	158	14	x(t	x(t	PROPN
american_scientific_journal-3632	158	15	)	)	PUNCT
american_scientific_journal-3632	158	16	1	1	NUM
american_scientific_journal-3632	158	17	y(t	y(t	NOUN
american_scientific_journal-3632	158	18	)	)	PUNCT
american_scientific_journal-3632	158	19	a(n(t	a(n(t	PROPN
american_scientific_journal-3632	158	20	)	)	PUNCT
american_scientific_journal-3632	158	21	n	n	CCONJ
american_scientific_journal-3632	158	22	)	)	PUNCT
american_scientific_journal-3632	158	23	²	²	NUM
american_scientific_journal-3632	158	24	dt	dt	ADP
american_scientific_journal-3632	158	25	x(t	x(t	PROPN
american_scientific_journal-3632	158	26	)	)	PUNCT
american_scientific_journal-3632	158	27	α	α	X
american_scientific_journal-3632	158	28	'	'	PART
american_scientific_journal-3632	158	29	y(t)+	y(t)+	NOUN
american_scientific_journal-3632	158	30	δ	δ	NOUN
american_scientific_journal-3632	158	31			VERB
american_scientific_journal-3632	158	32			VERB
american_scientific_journal-3632	158	33			VERB
american_scientific_journal-3632	158	34			NOUN
american_scientific_journal-3632	158	35			PROPN
american_scientific_journal-3632	158	36			NOUN
american_scientific_journal-3632	158	37			PROPN
american_scientific_journal-3632	158	38			PROPN
american_scientific_journal-3632	158	39			PROPN
american_scientific_journal-3632	159	1			PROPN
american_scientific_journal-3632	159	2			PROPN
american_scientific_journal-3632	160	1			ADJ
american_scientific_journal-3632	160	2			PROPN
american_scientific_journal-3632	160	3			PROPN
american_scientific_journal-3632	160	4			NOUN
american_scientific_journal-3632	160	5	12	12	NUM
american_scientific_journal-3632	160	6	not	not	PART
american_scientific_journal-3632	160	7	dependent	dependent	ADJ
american_scientific_journal-3632	160	8	on	on	ADP
american_scientific_journal-3632	160	9	time	time	NOUN
american_scientific_journal-3632	160	10	.	.	PUNCT
american_scientific_journal-3632	161	1	13	13	NUM
american_scientific_journal-3632	162	1	in	in	ADP
american_scientific_journal-3632	162	2	effect	effect	NOUN
american_scientific_journal-3632	162	3	,	,	PUNCT
american_scientific_journal-3632	162	4	the	the	DET
american_scientific_journal-3632	162	5	lyapunov	lyapunov	ADJ
american_scientific_journal-3632	162	6	function	function	NOUN
american_scientific_journal-3632	162	7	is	be	AUX
american_scientific_journal-3632	162	8	a	a	DET
american_scientific_journal-3632	162	9	type	type	NOUN
american_scientific_journal-3632	162	10	of	of	ADP
american_scientific_journal-3632	162	11	dissipating	dissipate	VERB
american_scientific_journal-3632	162	12	energy	energy	NOUN
american_scientific_journal-3632	162	13	which	which	PRON
american_scientific_journal-3632	162	14	serves	serve	VERB
american_scientific_journal-3632	162	15	as	as	ADP
american_scientific_journal-3632	162	16	a	a	DET
american_scientific_journal-3632	162	17	brake	brake	NOUN
american_scientific_journal-3632	162	18	to	to	ADP
american_scientific_journal-3632	162	19	the	the	DET
american_scientific_journal-3632	162	20	solution	solution	NOUN
american_scientific_journal-3632	162	21	so	so	SCONJ
american_scientific_journal-3632	162	22	that	that	SCONJ
american_scientific_journal-3632	162	23	it	it	PRON
american_scientific_journal-3632	162	24	does	do	AUX
american_scientific_journal-3632	162	25	not	not	PART
american_scientific_journal-3632	162	26	explode	explode	VERB
american_scientific_journal-3632	162	27	.	.	PUNCT
american_scientific_journal-3632	163	1	14	14	NUM
american_scientific_journal-3632	164	1	[	[	SYM
american_scientific_journal-3632	164	2	32	32	NUM
american_scientific_journal-3632	164	3	,	,	PUNCT
american_scientific_journal-3632	164	4	34	34	NUM
american_scientific_journal-3632	164	5	,	,	PUNCT
american_scientific_journal-3632	164	6	36	36	NUM
american_scientific_journal-3632	164	7	,	,	PUNCT
american_scientific_journal-3632	164	8	38	38	NUM
american_scientific_journal-3632	164	9	]	]	PUNCT
american_scientific_journal-3632	164	10	.	.	PUNCT
american_scientific_journal-3632	165	1	15	15	NUM
american_scientific_journal-3632	165	2	lotkavolterra	lotkavolterra	NOUN
american_scientific_journal-3632	165	3	systems	system	NOUN
american_scientific_journal-3632	165	4	.	.	PUNCT
american_scientific_journal-3632	166	1	american	american	ADJ
american_scientific_journal-3632	166	2	scientific	scientific	ADJ
american_scientific_journal-3632	166	3	research	research	PROPN
american_scientific_journal-3632	166	4	journal	journal	NOUN
american_scientific_journal-3632	166	5	for	for	ADP
american_scientific_journal-3632	166	6	engineering	engineering	NOUN
american_scientific_journal-3632	166	7	,	,	PUNCT
american_scientific_journal-3632	166	8	technology	technology	NOUN
american_scientific_journal-3632	166	9	,	,	PUNCT
american_scientific_journal-3632	166	10	and	and	CCONJ
american_scientific_journal-3632	166	11	sciences	science	NOUN
american_scientific_journal-3632	166	12	(	(	PUNCT
american_scientific_journal-3632	166	13	asrjets	asrjet	NOUN
american_scientific_journal-3632	166	14	)	)	PUNCT
american_scientific_journal-3632	166	15	(	(	PUNCT
american_scientific_journal-3632	166	16	2018	2018	NUM
american_scientific_journal-3632	166	17	)	)	PUNCT
american_scientific_journal-3632	166	18	volume	volume	NOUN
american_scientific_journal-3632	166	19	39	39	NUM
american_scientific_journal-3632	166	20	,	,	PUNCT
american_scientific_journal-3632	166	21	no	no	DET
american_scientific_journal-3632	166	22	1	1	NUM
american_scientific_journal-3632	166	23	,	,	PUNCT
american_scientific_journal-3632	166	24	pp	pp	ADJ
american_scientific_journal-3632	166	25	138	138	NUM
american_scientific_journal-3632	166	26	-	-	SYM
american_scientific_journal-3632	166	27	158	158	NUM
american_scientific_journal-3632	166	28	145	145	NUM
american_scientific_journal-3632	166	29	by	by	ADP
american_scientific_journal-3632	166	30	replacing	replace	VERB
american_scientific_journal-3632	166	31	and	and	CCONJ
american_scientific_journal-3632	166	32	x(t	x(t	PROPN
american_scientific_journal-3632	166	33	)	)	PUNCT
american_scientific_journal-3632	166	34	y(t	y(t	NUM
american_scientific_journal-3632	166	35	)	)	PUNCT
american_scientific_journal-3632	166	36	with	with	ADP
american_scientific_journal-3632	166	37	their	their	PRON
american_scientific_journal-3632	166	38	values	value	NOUN
american_scientific_journal-3632	166	39	in	in	ADP
american_scientific_journal-3632	166	40	(	(	PUNCT
american_scientific_journal-3632	166	41	s2	s2	PROPN
american_scientific_journal-3632	166	42	)	)	PUNCT
american_scientific_journal-3632	166	43	,	,	PUNCT
american_scientific_journal-3632	166	44	we	we	PRON
american_scientific_journal-3632	166	45	obtain	obtain	VERB
american_scientific_journal-3632	166	46	the	the	DET
american_scientific_journal-3632	166	47	following	follow	VERB
american_scientific_journal-3632	166	48	equation	equation	NOUN
american_scientific_journal-3632	166	49	:	:	PUNCT
american_scientific_journal-3632	166	50			NOUN
american_scientific_journal-3632	166	51			SYM
american_scientific_journal-3632	166	52			NOUN
american_scientific_journal-3632	166	53			SYM
american_scientific_journal-3632	166	54			NOUN
american_scientific_journal-3632	166	55			PUNCT
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american_scientific_journal-3632	168	2	ξ	ξ	X
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american_scientific_journal-3632	173	1	+	+	PUNCT
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american_scientific_journal-3632	173	34	:	:	PUNCT
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american_scientific_journal-3632	173	51	x(t)+	x(t)+	PROPN
american_scientific_journal-3632	173	52	ξ	ξ	SYM
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american_scientific_journal-3632	173	54	η	η	PROPN
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american_scientific_journal-3632	173	57	2θ	2θ	NUM
american_scientific_journal-3632	174	1	+	+	PUNCT
american_scientific_journal-3632	174	2	ξ	ξ	X
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american_scientific_journal-3632	175	2	dt	dt	INTJ
american_scientific_journal-3632	175	3	.	.	PUNCT
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american_scientific_journal-3632	176	9	:	:	PUNCT
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american_scientific_journal-3632	178	11	2	2	NUM
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american_scientific_journal-3632	179	4	ξ	ξ	X
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american_scientific_journal-3632	180	11	and	and	CCONJ
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american_scientific_journal-3632	181	7	2	2	NUM
american_scientific_journal-3632	181	8	θ	θ	NOUN
american_scientific_journal-3632	181	9	+	+	SYM
american_scientific_journal-3632	181	10	ξ	ξ	X
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american_scientific_journal-3632	181	12	ηθ	ηθ	NUM
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american_scientific_journal-3632	181	17	-(2	-(2	PROPN
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american_scientific_journal-3632	181	34	ξ	ξ	PROPN
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american_scientific_journal-3632	187	9	22	22	NUM
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american_scientific_journal-3632	187	11	+	+	SYM
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american_scientific_journal-3632	188	1	+	+	NUM
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american_scientific_journal-3632	188	5	+	+	CCONJ
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american_scientific_journal-3632	188	7	0	0	PUNCT
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american_scientific_journal-3632	189	2	-(θ	-(θ	PUNCT
american_scientific_journal-3632	189	3	+	+	NUM
american_scientific_journal-3632	189	4	ξ	ξ	X
american_scientific_journal-3632	189	5	)	)	PUNCT
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american_scientific_journal-3632	189	9	11	11	NUM
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american_scientific_journal-3632	189	15	:	:	PUNCT
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american_scientific_journal-3632	190	3			PUNCT
american_scientific_journal-3632	190	4	d	d	PUNCT
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american_scientific_journal-3632	190	6	2	2	NUM
american_scientific_journal-3632	190	7	θ	θ	NOUN
american_scientific_journal-3632	190	8	+	+	SYM
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american_scientific_journal-3632	190	10	2	2	NUM
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american_scientific_journal-3632	191	5	2	2	NUM
american_scientific_journal-3632	191	6	2	2	NUM
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american_scientific_journal-3632	191	21	.	.	PUNCT
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american_scientific_journal-3632	194	8	+	+	NUM
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american_scientific_journal-3632	196	23	,	,	PUNCT
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american_scientific_journal-3632	198	7	y	y	PROPN
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american_scientific_journal-3632	198	9	δ	δ	PROPN
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american_scientific_journal-3632	198	11			VERB
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american_scientific_journal-3632	199	13	0	0	NUM
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american_scientific_journal-3632	200	6	x	x	X
american_scientific_journal-3632	201	1	ln	ln	NOUN
american_scientific_journal-3632	201	2	0	0	NUM
american_scientific_journal-3632	201	3	x	x	PUNCT
american_scientific_journal-3632	201	4			ADP
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american_scientific_journal-3632	203	5	ln	ln	ADJ
american_scientific_journal-3632	203	6	0	0	PUNCT
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american_scientific_journal-3632	204	3	δ	δ	PROPN
american_scientific_journal-3632	204	4			VERB
american_scientific_journal-3632	204	5			NOUN
american_scientific_journal-3632	204	6			NOUN
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american_scientific_journal-3632	204	54	x	x	X
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american_scientific_journal-3632	205	13	and	and	CCONJ
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american_scientific_journal-3632	205	16	δ	δ	PROPN
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american_scientific_journal-3632	206	7	2θ	2θ	NUM
american_scientific_journal-3632	206	8	+	+	SYM
american_scientific_journal-3632	206	9	ξ	ξ	NOUN
american_scientific_journal-3632	206	10			NOUN
american_scientific_journal-3632	206	11			VERB
american_scientific_journal-3632	206	12			NOUN
american_scientific_journal-3632	206	13			NUM
american_scientific_journal-3632	206	14			NOUN
american_scientific_journal-3632	206	15	(	(	PUNCT
american_scientific_journal-3632	206	16	17	17	NUM
american_scientific_journal-3632	206	17	)	)	PUNCT
american_scientific_journal-3632	206	18	with	with	ADP
american_scientific_journal-3632	206	19	the	the	DET
american_scientific_journal-3632	206	20	relationship	relationship	NOUN
american_scientific_journal-3632	206	21	(	(	PUNCT
american_scientific_journal-3632	206	22	16	16	NUM
american_scientific_journal-3632	206	23	)	)	PUNCT
american_scientific_journal-3632	206	24	,	,	PUNCT
american_scientific_journal-3632	206	25	we	we	PRON
american_scientific_journal-3632	206	26	deduce	deduce	VERB
american_scientific_journal-3632	206	27	that	that	SCONJ
american_scientific_journal-3632	206	28	x(t	x(t	PROPN
american_scientific_journal-3632	206	29	)	)	PUNCT
american_scientific_journal-3632	206	30	is	be	AUX
american_scientific_journal-3632	206	31	bounded	bound	VERB
american_scientific_journal-3632	206	32	on	on	ADP
american_scientific_journal-3632	206	33	[	[	X
american_scientific_journal-3632	206	34	0	0	NUM
american_scientific_journal-3632	206	35	,	,	PUNCT
american_scientific_journal-3632	206	36	tmax	tmax	NUM
american_scientific_journal-3632	206	37	)	)	PUNCT
american_scientific_journal-3632	206	38	.	.	PUNCT
american_scientific_journal-3632	207	1	similarly	similarly	ADV
american_scientific_journal-3632	207	2	,	,	PUNCT
american_scientific_journal-3632	207	3	the	the	DET
american_scientific_journal-3632	207	4	relationship	relationship	NOUN
american_scientific_journal-3632	207	5	(	(	PUNCT
american_scientific_journal-3632	207	6	17	17	NUM
american_scientific_journal-3632	207	7	)	)	PUNCT
american_scientific_journal-3632	207	8	proves	prove	VERB
american_scientific_journal-3632	207	9	that	that	SCONJ
american_scientific_journal-3632	207	10	y(t	y(t	PROPN
american_scientific_journal-3632	207	11	)	)	PUNCT
american_scientific_journal-3632	207	12	is	be	AUX
american_scientific_journal-3632	207	13	bounded	bound	VERB
american_scientific_journal-3632	207	14	on	on	ADP
american_scientific_journal-3632	207	15	[	[	X
american_scientific_journal-3632	207	16	0	0	NUM
american_scientific_journal-3632	207	17	,	,	PUNCT
american_scientific_journal-3632	207	18	tmax	tmax	NUM
american_scientific_journal-3632	207	19	)	)	PUNCT
american_scientific_journal-3632	207	20	.	.	PUNCT
american_scientific_journal-3632	208	1	thus	thus	ADV
american_scientific_journal-3632	208	2	,	,	PUNCT
american_scientific_journal-3632	208	3	we	we	PRON
american_scientific_journal-3632	208	4	conclude	conclude	VERB
american_scientific_journal-3632	208	5	that	that	SCONJ
american_scientific_journal-3632	208	6	the	the	DET
american_scientific_journal-3632	208	7	vector	vector	NOUN
american_scientific_journal-3632	208	8	(	(	PUNCT
american_scientific_journal-3632	208	9	x(t),y(t	x(t),y(t	PROPN
american_scientific_journal-3632	208	10	)	)	PUNCT
american_scientific_journal-3632	208	11	)	)	PUNCT
american_scientific_journal-3632	208	12	is	be	AUX
american_scientific_journal-3632	208	13	bounded	bound	VERB
american_scientific_journal-3632	208	14	on	on	ADP
american_scientific_journal-3632	208	15	[	[	X
american_scientific_journal-3632	208	16	0	0	NUM
american_scientific_journal-3632	208	17	,	,	PUNCT
american_scientific_journal-3632	208	18	tmax	tmax	NUM
american_scientific_journal-3632	208	19	)	)	PUNCT
american_scientific_journal-3632	208	20	.	.	PUNCT
american_scientific_journal-3632	209	1	and	and	CCONJ
american_scientific_journal-3632	209	2	as	as	SCONJ
american_scientific_journal-3632	209	3	theorem	theorem	ADJ
american_scientific_journal-3632	209	4	1	1	NUM
american_scientific_journal-3632	209	5	indicates	indicate	VERB
american_scientific_journal-3632	209	6	,	,	PUNCT
american_scientific_journal-3632	209	7	tmax	tmax	ADP
american_scientific_journal-3632	209	8	=	=	PUNCT
american_scientific_journal-3632	210	1	+	+	NUM
american_scientific_journal-3632	210	2			NOUN
american_scientific_journal-3632	210	3	,	,	PUNCT
american_scientific_journal-3632	210	4	the	the	DET
american_scientific_journal-3632	210	5	solution	solution	NOUN
american_scientific_journal-3632	210	6	(	(	PUNCT
american_scientific_journal-3632	210	7	x(t),y(t	x(t),y(t	PROPN
american_scientific_journal-3632	210	8	)	)	PUNCT
american_scientific_journal-3632	210	9	)	)	PUNCT
american_scientific_journal-3632	210	10	is	be	AUX
american_scientific_journal-3632	210	11	thus	thus	ADV
american_scientific_journal-3632	210	12	global	global	ADJ
american_scientific_journal-3632	210	13	.	.	PUNCT
american_scientific_journal-3632	211	1	after	after	ADP
american_scientific_journal-3632	211	2	having	having	AUX
american_scientific_journal-3632	211	3	proved	prove	VERB
american_scientific_journal-3632	211	4	the	the	DET
american_scientific_journal-3632	211	5	general	general	ADJ
american_scientific_journal-3632	211	6	existence	existence	NOUN
american_scientific_journal-3632	211	7	and	and	CCONJ
american_scientific_journal-3632	211	8	singularity	singularity	NOUN
american_scientific_journal-3632	211	9	of	of	ADP
american_scientific_journal-3632	211	10	the	the	DET
american_scientific_journal-3632	211	11	model	model	NOUN
american_scientific_journal-3632	211	12	's	's	PART
american_scientific_journal-3632	211	13	solution	solution	NOUN
american_scientific_journal-3632	211	14	(	(	PUNCT
american_scientific_journal-3632	211	15	x(t),y(t	x(t),y(t	PROPN
american_scientific_journal-3632	211	16	)	)	PUNCT
american_scientific_journal-3632	211	17	)	)	PUNCT
american_scientific_journal-3632	211	18	,	,	PUNCT
american_scientific_journal-3632	211	19	we	we	PRON
american_scientific_journal-3632	211	20	continue	continue	VERB
american_scientific_journal-3632	211	21	our	our	PRON
american_scientific_journal-3632	211	22	qualitative	qualitative	ADJ
american_scientific_journal-3632	211	23	study	study	NOUN
american_scientific_journal-3632	211	24	by	by	ADP
american_scientific_journal-3632	211	25	analyzing	analyze	VERB
american_scientific_journal-3632	211	26	the	the	DET
american_scientific_journal-3632	211	27	convergence	convergence	NOUN
american_scientific_journal-3632	211	28	of	of	ADP
american_scientific_journal-3632	211	29	(	(	PUNCT
american_scientific_journal-3632	211	30	x(t),y(t	x(t),y(t	PROPN
american_scientific_journal-3632	211	31	)	)	PUNCT
american_scientific_journal-3632	211	32	)	)	PUNCT
american_scientific_journal-3632	211	33	to	to	PART
american_scientific_journal-3632	211	34	observe	observe	VERB
american_scientific_journal-3632	211	35	its	its	PRON
american_scientific_journal-3632	211	36	long	long	ADJ
american_scientific_journal-3632	211	37	-	-	PUNCT
american_scientific_journal-3632	211	38	term	term	NOUN
american_scientific_journal-3632	211	39	behavior	behavior	NOUN
american_scientific_journal-3632	211	40	.	.	PUNCT
american_scientific_journal-3632	212	1	3.2	3.2	NUM
american_scientific_journal-3632	212	2	convergence	convergence	NOUN
american_scientific_journal-3632	212	3	towards	towards	ADP
american_scientific_journal-3632	212	4	an	an	DET
american_scientific_journal-3632	212	5	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	212	6	state	state	NOUN
american_scientific_journal-3632	212	7	this	this	DET
american_scientific_journal-3632	212	8	section	section	NOUN
american_scientific_journal-3632	212	9	is	be	AUX
american_scientific_journal-3632	212	10	based	base	VERB
american_scientific_journal-3632	212	11	on	on	ADP
american_scientific_journal-3632	212	12	studying	study	VERB
american_scientific_journal-3632	212	13	the	the	DET
american_scientific_journal-3632	212	14	convergence	convergence	NOUN
american_scientific_journal-3632	212	15	of	of	ADP
american_scientific_journal-3632	212	16	the	the	DET
american_scientific_journal-3632	212	17	(	(	PUNCT
american_scientific_journal-3632	212	18	s2	s2	PROPN
american_scientific_journal-3632	212	19	)	)	PUNCT
american_scientific_journal-3632	212	20	global	global	ADJ
american_scientific_journal-3632	212	21	solution	solution	NOUN
american_scientific_journal-3632	212	22	towards	towards	ADP
american_scientific_journal-3632	212	23	an	an	DET
american_scientific_journal-3632	212	24	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	212	25	state	state	NOUN
american_scientific_journal-3632	212	26	(	(	PUNCT
american_scientific_journal-3632	212	27	x	x	PROPN
american_scientific_journal-3632	212	28	,	,	PUNCT
american_scientific_journal-3632	212	29	y	y	NOUN
american_scientific_journal-3632	212	30	)	)	PUNCT
american_scientific_journal-3632	212	31	.	.	PUNCT
american_scientific_journal-3632	213	1	we	we	PRON
american_scientific_journal-3632	213	2	will	will	AUX
american_scientific_journal-3632	213	3	proceed	proceed	VERB
american_scientific_journal-3632	213	4	in	in	ADP
american_scientific_journal-3632	213	5	two	two	NUM
american_scientific_journal-3632	213	6	stages	stage	NOUN
american_scientific_journal-3632	213	7	:	:	PUNCT
american_scientific_journal-3632	213	8	the	the	DET
american_scientific_journal-3632	213	9	first	first	ADJ
american_scientific_journal-3632	213	10	consists	consist	VERB
american_scientific_journal-3632	213	11	of	of	ADP
american_scientific_journal-3632	213	12	proving	prove	VERB
american_scientific_journal-3632	213	13	the	the	DET
american_scientific_journal-3632	213	14	solutions	solution	NOUN
american_scientific_journal-3632	213	15	convergence	convergence	NOUN
american_scientific_journal-3632	213	16	whilst	whilst	SCONJ
american_scientific_journal-3632	213	17	the	the	DET
american_scientific_journal-3632	213	18	second	second	ADJ
american_scientific_journal-3632	213	19	is	be	AUX
american_scientific_journal-3632	213	20	dedicated	dedicate	VERB
american_scientific_journal-3632	213	21	to	to	ADP
american_scientific_journal-3632	213	22	showing	show	VERB
american_scientific_journal-3632	213	23	that	that	SCONJ
american_scientific_journal-3632	213	24	the	the	DET
american_scientific_journal-3632	213	25	convergence	convergence	NOUN
american_scientific_journal-3632	213	26	does	do	AUX
american_scientific_journal-3632	213	27	lead	lead	VERB
american_scientific_journal-3632	213	28	towards	towards	ADP
american_scientific_journal-3632	213	29	the	the	DET
american_scientific_journal-3632	213	30	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	213	31	point	point	NOUN
american_scientific_journal-3632	213	32	(	(	PUNCT
american_scientific_journal-3632	213	33	x	x	NOUN
american_scientific_journal-3632	213	34	,	,	PUNCT
american_scientific_journal-3632	213	35	y	y	NOUN
american_scientific_journal-3632	213	36	)	)	PUNCT
american_scientific_journal-3632	213	37	.	.	PUNCT
american_scientific_journal-3632	214	1	3.2.1	3.2.1	NUM
american_scientific_journal-3632	214	2	convergence	convergence	NOUN
american_scientific_journal-3632	214	3	of	of	ADP
american_scientific_journal-3632	214	4	the	the	DET
american_scientific_journal-3632	214	5	model	model	NOUN
american_scientific_journal-3632	214	6	's	's	PART
american_scientific_journal-3632	214	7	solution	solution	NOUN
american_scientific_journal-3632	214	8	the	the	DET
american_scientific_journal-3632	214	9	key	key	ADJ
american_scientific_journal-3632	214	10	element	element	NOUN
american_scientific_journal-3632	214	11	which	which	PRON
american_scientific_journal-3632	214	12	will	will	AUX
american_scientific_journal-3632	214	13	allow	allow	VERB
american_scientific_journal-3632	214	14	us	we	PRON
american_scientific_journal-3632	214	15	to	to	PART
american_scientific_journal-3632	214	16	show	show	VERB
american_scientific_journal-3632	214	17	the	the	DET
american_scientific_journal-3632	214	18	convergence	convergence	NOUN
american_scientific_journal-3632	214	19	of	of	ADP
american_scientific_journal-3632	214	20	the	the	DET
american_scientific_journal-3632	214	21	solution	solution	NOUN
american_scientific_journal-3632	214	22	(	(	PUNCT
american_scientific_journal-3632	214	23	x(t	x(t	PROPN
american_scientific_journal-3632	214	24	)	)	PUNCT
american_scientific_journal-3632	214	25	,	,	PUNCT
american_scientific_journal-3632	214	26	y(t	y(t	NOUN
american_scientific_journal-3632	214	27	)	)	PUNCT
american_scientific_journal-3632	214	28	)	)	PUNCT
american_scientific_journal-3632	214	29	of	of	ADP
american_scientific_journal-3632	214	30	(	(	PUNCT
american_scientific_journal-3632	214	31	s2	s2	PROPN
american_scientific_journal-3632	214	32	)	)	PUNCT
american_scientific_journal-3632	214	33	consists	consist	VERB
american_scientific_journal-3632	214	34	of	of	ADP
american_scientific_journal-3632	214	35	using	use	VERB
american_scientific_journal-3632	214	36	the	the	DET
american_scientific_journal-3632	214	37	function	function	NOUN
american_scientific_journal-3632	214	38	v(x(t	v(x(t	PROPN
american_scientific_journal-3632	214	39	)	)	PUNCT
american_scientific_journal-3632	214	40	,	,	PUNCT
american_scientific_journal-3632	214	41	y(t	y(t	PROPN
american_scientific_journal-3632	214	42	)	)	PUNCT
american_scientific_journal-3632	214	43	,	,	PUNCT
american_scientific_journal-3632	214	44	t	t	PROPN
american_scientific_journal-3632	214	45	)	)	PUNCT
american_scientific_journal-3632	214	46	defined	define	VERB
american_scientific_journal-3632	214	47	in	in	ADP
american_scientific_journal-3632	214	48	(	(	PUNCT
american_scientific_journal-3632	214	49	7	7	NUM
american_scientific_journal-3632	214	50	)	)	PUNCT
american_scientific_journal-3632	214	51	and	and	CCONJ
american_scientific_journal-3632	214	52	also	also	ADV
american_scientific_journal-3632	214	53	introduces	introduce	VERB
american_scientific_journal-3632	214	54	a	a	DET
american_scientific_journal-3632	214	55	second	second	ADJ
american_scientific_journal-3632	214	56	lyapunov	lyapunov	NOUN
american_scientific_journal-3632	214	57	function	function	NOUN
american_scientific_journal-3632	214	58	w(x(t	w(x(t	PROPN
american_scientific_journal-3632	214	59	)	)	PUNCT
american_scientific_journal-3632	214	60	,	,	PUNCT
american_scientific_journal-3632	214	61	y(t	y(t	PROPN
american_scientific_journal-3632	214	62	)	)	PUNCT
american_scientific_journal-3632	214	63	,	,	PUNCT
american_scientific_journal-3632	214	64	t	t	PROPN
american_scientific_journal-3632	214	65	)	)	PUNCT
american_scientific_journal-3632	214	66	,	,	PUNCT
american_scientific_journal-3632	214	67	that	that	PRON
american_scientific_journal-3632	214	68	is	be	AUX
american_scientific_journal-3632	214	69	close	close	ADJ
american_scientific_journal-3632	214	70	to	to	ADP
american_scientific_journal-3632	214	71	the	the	DET
american_scientific_journal-3632	214	72	first	first	ADJ
american_scientific_journal-3632	214	73	in	in	ADP
american_scientific_journal-3632	214	74	order	order	NOUN
american_scientific_journal-3632	214	75	to	to	PART
american_scientific_journal-3632	214	76	guarantee	guarantee	VERB
american_scientific_journal-3632	214	77	that	that	SCONJ
american_scientific_journal-3632	214	78	the	the	DET
american_scientific_journal-3632	214	79	coefficients	coefficient	NOUN
american_scientific_journal-3632	214	80	of	of	ADP
american_scientific_journal-3632	214	81	w(x(t	w(x(t	PROPN
american_scientific_journal-3632	214	82	)	)	PUNCT
american_scientific_journal-3632	214	83	,	,	PUNCT
american_scientific_journal-3632	214	84	y(t	y(t	PROPN
american_scientific_journal-3632	214	85	)	)	PUNCT
american_scientific_journal-3632	214	86	,	,	PUNCT
american_scientific_journal-3632	214	87	t	t	PROPN
american_scientific_journal-3632	214	88	)	)	PUNCT
american_scientific_journal-3632	214	89	remain	remain	VERB
american_scientific_journal-3632	214	90	close	close	ADJ
american_scientific_journal-3632	214	91	to	to	ADP
american_scientific_journal-3632	214	92	those	those	PRON
american_scientific_journal-3632	214	93	of	of	ADP
american_scientific_journal-3632	214	94	v(x(t),y(t	v(x(t),y(t	PROPN
american_scientific_journal-3632	214	95	)	)	PUNCT
american_scientific_journal-3632	214	96	,	,	PUNCT
american_scientific_journal-3632	214	97	american	american	PROPN
american_scientific_journal-3632	214	98	scientific	scientific	ADJ
american_scientific_journal-3632	214	99	research	research	NOUN
american_scientific_journal-3632	214	100	journal	journal	NOUN
american_scientific_journal-3632	214	101	for	for	ADP
american_scientific_journal-3632	214	102	engineering	engineering	NOUN
american_scientific_journal-3632	214	103	,	,	PUNCT
american_scientific_journal-3632	214	104	technology	technology	NOUN
american_scientific_journal-3632	214	105	,	,	PUNCT
american_scientific_journal-3632	214	106	and	and	CCONJ
american_scientific_journal-3632	214	107	sciences	science	NOUN
american_scientific_journal-3632	214	108	(	(	PUNCT
american_scientific_journal-3632	214	109	asrjets	asrjet	NOUN
american_scientific_journal-3632	214	110	)	)	PUNCT
american_scientific_journal-3632	214	111	(	(	PUNCT
american_scientific_journal-3632	214	112	2018	2018	NUM
american_scientific_journal-3632	214	113	)	)	PUNCT
american_scientific_journal-3632	214	114	volume	volume	NOUN
american_scientific_journal-3632	214	115	39	39	NUM
american_scientific_journal-3632	214	116	,	,	PUNCT
american_scientific_journal-3632	214	117	no	no	DET
american_scientific_journal-3632	214	118	1	1	NUM
american_scientific_journal-3632	214	119	,	,	PUNCT
american_scientific_journal-3632	214	120	pp	pp	ADJ
american_scientific_journal-3632	214	121	138	138	NUM
american_scientific_journal-3632	214	122	-	-	SYM
american_scientific_journal-3632	214	123	158	158	NUM
american_scientific_journal-3632	214	124	147	147	NUM
american_scientific_journal-3632	214	125	t	t	NOUN
american_scientific_journal-3632	214	126	)	)	PUNCT
american_scientific_journal-3632	214	127	,	,	PUNCT
american_scientific_journal-3632	214	128	in	in	ADP
american_scientific_journal-3632	214	129	a	a	DET
american_scientific_journal-3632	214	130	manner	manner	NOUN
american_scientific_journal-3632	214	131	which	which	PRON
american_scientific_journal-3632	214	132	preserves	preserve	VERB
american_scientific_journal-3632	214	133	the	the	DET
american_scientific_journal-3632	214	134	decline	decline	NOUN
american_scientific_journal-3632	214	135	of	of	ADP
american_scientific_journal-3632	214	136	the	the	DET
american_scientific_journal-3632	214	137	second	second	ADJ
american_scientific_journal-3632	214	138	function	function	NOUN
american_scientific_journal-3632	214	139	.	.	PUNCT
american_scientific_journal-3632	215	1	let	let	VERB
american_scientific_journal-3632	215	2	,	,	PUNCT
american_scientific_journal-3632	215	3	for	for	ADP
american_scientific_journal-3632	215	4	any	any	DET
american_scientific_journal-3632	215	5	t	t	NOUN
american_scientific_journal-3632	215	6			NUM
american_scientific_journal-3632	215	7	0	0	NUM
american_scientific_journal-3632	215	8	x(t	x(t	PROPN
american_scientific_journal-3632	215	9	)	)	PUNCT
american_scientific_journal-3632	215	10	2θ	2θ	NUM
american_scientific_journal-3632	216	1	+	+	SYM
american_scientific_journal-3632	216	2	ξ	ξ	X
american_scientific_journal-3632	216	3	+	+	NUM
american_scientific_journal-3632	216	4	2θ	2θ	NUM
american_scientific_journal-3632	216	5	(	(	PUNCT
american_scientific_journal-3632	216	6	ξ	ξ	X
american_scientific_journal-3632	216	7	+	+	NOUN
american_scientific_journal-3632	216	8	θ	θ	NOUN
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american_scientific_journal-3632	216	24	)	)	PUNCT
american_scientific_journal-3632	216	25	x	x	X
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american_scientific_journal-3632	216	27	y(t	y(t	PROPN
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american_scientific_journal-3632	216	30	y	y	PROPN
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american_scientific_journal-3632	216	32	δ	δ	PROPN
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american_scientific_journal-3632	217	2	x	x	PUNCT
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american_scientific_journal-3632	218	2	y	y	PROPN
american_scientific_journal-3632	218	3	+	+	CCONJ
american_scientific_journal-3632	218	4	δ	δ	PROPN
american_scientific_journal-3632	218	5			VERB
american_scientific_journal-3632	218	6			NUM
american_scientific_journal-3632	218	7			PROPN
american_scientific_journal-3632	218	8			NOUN
american_scientific_journal-3632	218	9			PROPN
american_scientific_journal-3632	218	10			NOUN
american_scientific_journal-3632	218	11			PROPN
american_scientific_journal-3632	218	12			PROPN
american_scientific_journal-3632	218	13			PROPN
american_scientific_journal-3632	219	1			PROPN
american_scientific_journal-3632	219	2			NOUN
american_scientific_journal-3632	219	3	(	(	PUNCT
american_scientific_journal-3632	219	4	18	18	NUM
american_scientific_journal-3632	219	5	)	)	PUNCT
american_scientific_journal-3632	219	6	it	it	PRON
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american_scientific_journal-3632	219	11	2θ	2θ	NUM
american_scientific_journal-3632	219	12	+	+	SYM
american_scientific_journal-3632	219	13	ξ	ξ	X
american_scientific_journal-3632	219	14	+	+	NUM
american_scientific_journal-3632	219	15	2θ	2θ	NUM
american_scientific_journal-3632	219	16	(	(	PUNCT
american_scientific_journal-3632	219	17	ξ	ξ	X
american_scientific_journal-3632	219	18	+	+	NOUN
american_scientific_journal-3632	219	19	θ	θ	NOUN
american_scientific_journal-3632	219	20	)	)	PUNCT
american_scientific_journal-3632	219	21	>	>	X
american_scientific_journal-3632	219	22	0	0	NUM
american_scientific_journal-3632	219	23	α	α	NOUN
american_scientific_journal-3632	219	24	and	and	CCONJ
american_scientific_journal-3632	219	25	b	b	NOUN
american_scientific_journal-3632	219	26	,	,	PUNCT
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american_scientific_journal-3632	219	29	positive	positive	ADJ
american_scientific_journal-3632	219	30	constant	constant	NOUN
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american_scientific_journal-3632	219	37	.	.	PUNCT
american_scientific_journal-3632	220	1	proceeding	proceed	VERB
american_scientific_journal-3632	220	2	in	in	ADP
american_scientific_journal-3632	220	3	the	the	DET
american_scientific_journal-3632	220	4	same	same	ADJ
american_scientific_journal-3632	220	5	way	way	NOUN
american_scientific_journal-3632	220	6	as	as	ADP
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american_scientific_journal-3632	220	8	,	,	PUNCT
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american_scientific_journal-3632	220	22	which	which	PRON
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american_scientific_journal-3632	220	25	:	:	PUNCT
american_scientific_journal-3632	220	26			NOUN
american_scientific_journal-3632	220	27			PROPN
american_scientific_journal-3632	220	28	2	2	NUM
american_scientific_journal-3632	220	29	2	2	NUM
american_scientific_journal-3632	220	30	d	d	SYM
american_scientific_journal-3632	220	31	ξ	ξ	PROPN
american_scientific_journal-3632	220	32	+	+	NOUN
american_scientific_journal-3632	220	33	θ	θ	NOUN
american_scientific_journal-3632	220	34	θ	θ	NOUN
american_scientific_journal-3632	221	1	+	+	PUNCT
american_scientific_journal-3632	221	2	ξ	ξ	X
american_scientific_journal-3632	221	3	2	2	NUM
american_scientific_journal-3632	221	4	w(x(t	w(x(t	NOUN
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american_scientific_journal-3632	221	19	y(t	y(t	NUM
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american_scientific_journal-3632	222	1	+	+	CCONJ
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american_scientific_journal-3632	223	1	2θ	2θ	NUM
american_scientific_journal-3632	223	2			NOUN
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american_scientific_journal-3632	223	4			PROPN
american_scientific_journal-3632	223	5			PROPN
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american_scientific_journal-3632	224	2			PROPN
american_scientific_journal-3632	225	1	ξ	ξ	X
american_scientific_journal-3632	225	2	+	+	NUM
american_scientific_journal-3632	225	3	θ	θ	X
american_scientific_journal-3632	225	4	+	+	NUM
american_scientific_journal-3632	225	5	θ	θ	PROPN
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american_scientific_journal-3632	226	3	2θ	2θ	NUM
american_scientific_journal-3632	226	4			NOUN
american_scientific_journal-3632	226	5			PROPN
american_scientific_journal-3632	226	6			PROPN
american_scientific_journal-3632	226	7			PROPN
american_scientific_journal-3632	227	1			ADJ
american_scientific_journal-3632	227	2			NOUN
american_scientific_journal-3632	227	3	5	5	NUM
american_scientific_journal-3632	227	4	θ	θ	NOUN
american_scientific_journal-3632	227	5	(	(	PUNCT
american_scientific_journal-3632	227	6	ξ	ξ	X
american_scientific_journal-3632	227	7	+	+	NOUN
american_scientific_journal-3632	227	8	θ	θ	NOUN
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american_scientific_journal-3632	227	13	+	+	PUNCT
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american_scientific_journal-3632	228	34	2	2	NUM
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american_scientific_journal-3632	229	1	+	+	NOUN
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american_scientific_journal-3632	229	26	2	2	NUM
american_scientific_journal-3632	229	27			NUM
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american_scientific_journal-3632	230	5			PROPN
american_scientific_journal-3632	231	1			PROPN
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american_scientific_journal-3632	232	2			PROPN
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american_scientific_journal-3632	233	8	and	and	CCONJ
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american_scientific_journal-3632	233	10	5θ(ξ	5θ(ξ	NUM
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american_scientific_journal-3632	233	14	θ	θ	PROPN
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american_scientific_journal-3632	234	5	θ	θ	NOUN
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american_scientific_journal-3632	235	1	+	+	PUNCT
american_scientific_journal-3632	235	2	ξ	ξ	SYM
american_scientific_journal-3632	235	3	2	2	NUM
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american_scientific_journal-3632	235	6	+	+	PUNCT
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american_scientific_journal-3632	235	70	2	2	NUM
american_scientific_journal-3632	235	71			NOUN
american_scientific_journal-3632	235	72			NOUN
american_scientific_journal-3632	235	73			PROPN
american_scientific_journal-3632	235	74			PROPN
american_scientific_journal-3632	236	1			PROPN
american_scientific_journal-3632	236	2			NOUN
american_scientific_journal-3632	236	3	,	,	PUNCT
american_scientific_journal-3632	236	4	we	we	PRON
american_scientific_journal-3632	236	5	obtain	obtain	VERB
american_scientific_journal-3632	236	6	the	the	DET
american_scientific_journal-3632	236	7	following	follow	VERB
american_scientific_journal-3632	236	8	inequality	inequality	NOUN
american_scientific_journal-3632	236	9	:	:	PUNCT
american_scientific_journal-3632	236	10			NOUN
american_scientific_journal-3632	236	11			PROPN
american_scientific_journal-3632	236	12	4	4	NUM
american_scientific_journal-3632	236	13	2	2	NUM
american_scientific_journal-3632	236	14	d	d	NOUN
american_scientific_journal-3632	236	15	θ	θ	X
american_scientific_journal-3632	236	16	ξ	ξ	X
american_scientific_journal-3632	237	1	+	+	NOUN
american_scientific_journal-3632	237	2	θ	θ	X
american_scientific_journal-3632	237	3	ξ	ξ	X
american_scientific_journal-3632	237	4	+	+	NOUN
american_scientific_journal-3632	237	5	θ	θ	NOUN
american_scientific_journal-3632	237	6	2	2	NUM
american_scientific_journal-3632	237	7	w(x(t	w(x(t	NOUN
american_scientific_journal-3632	237	8	)	)	PUNCT
american_scientific_journal-3632	237	9	,	,	PUNCT
american_scientific_journal-3632	237	10	y(t	y(t	PROPN
american_scientific_journal-3632	237	11	)	)	PUNCT
american_scientific_journal-3632	237	12	,	,	PUNCT
american_scientific_journal-3632	237	13	t	t	X
american_scientific_journal-3632	237	14	)	)	PUNCT
american_scientific_journal-3632	237	15	x(t	x(t	PROPN
american_scientific_journal-3632	237	16	)	)	PUNCT
american_scientific_journal-3632	237	17	(	(	PUNCT
american_scientific_journal-3632	237	18	1	1	NUM
american_scientific_journal-3632	237	19	)	)	PUNCT
american_scientific_journal-3632	237	20	y(t	y(t	NUM
american_scientific_journal-3632	237	21	)	)	PUNCT
american_scientific_journal-3632	238	1	+	+	CCONJ
american_scientific_journal-3632	238	2	y(t	y(t	NUM
american_scientific_journal-3632	238	3	)	)	PUNCT
american_scientific_journal-3632	238	4	dt	dt	NOUN
american_scientific_journal-3632	238	5	2	2	NUM
american_scientific_journal-3632	238	6	2θ	2θ	NUM
american_scientific_journal-3632	238	7			NOUN
american_scientific_journal-3632	238	8			NOUN
american_scientific_journal-3632	239	1			PROPN
american_scientific_journal-3632	239	2			PROPN
american_scientific_journal-3632	239	3			PROPN
american_scientific_journal-3632	240	1			PROPN
american_scientific_journal-3632	240	2			NOUN
american_scientific_journal-3632	240	3	(	(	PUNCT
american_scientific_journal-3632	240	4	22	22	NUM
american_scientific_journal-3632	240	5	)	)	PUNCT
american_scientific_journal-3632	240	6	american	american	ADJ
american_scientific_journal-3632	240	7	scientific	scientific	ADJ
american_scientific_journal-3632	240	8	research	research	NOUN
american_scientific_journal-3632	240	9	journal	journal	NOUN
american_scientific_journal-3632	240	10	for	for	ADP
american_scientific_journal-3632	240	11	engineering	engineering	NOUN
american_scientific_journal-3632	240	12	,	,	PUNCT
american_scientific_journal-3632	240	13	technology	technology	NOUN
american_scientific_journal-3632	240	14	,	,	PUNCT
american_scientific_journal-3632	240	15	and	and	CCONJ
american_scientific_journal-3632	240	16	sciences	science	NOUN
american_scientific_journal-3632	240	17	(	(	PUNCT
american_scientific_journal-3632	240	18	asrjets	asrjet	NOUN
american_scientific_journal-3632	240	19	)	)	PUNCT
american_scientific_journal-3632	240	20	(	(	PUNCT
american_scientific_journal-3632	240	21	2018	2018	NUM
american_scientific_journal-3632	240	22	)	)	PUNCT
american_scientific_journal-3632	240	23	volume	volume	NOUN
american_scientific_journal-3632	240	24	39	39	NUM
american_scientific_journal-3632	240	25	,	,	PUNCT
american_scientific_journal-3632	240	26	no	no	DET
american_scientific_journal-3632	240	27	1	1	NUM
american_scientific_journal-3632	240	28	,	,	PUNCT
american_scientific_journal-3632	240	29	pp	pp	ADJ
american_scientific_journal-3632	240	30	138	138	NUM
american_scientific_journal-3632	240	31	-	-	SYM
american_scientific_journal-3632	240	32	158	158	NUM
american_scientific_journal-3632	240	33	148	148	NUM
american_scientific_journal-3632	240	34	as	as	ADP
american_scientific_journal-3632	240	35	θ	θ	PROPN
american_scientific_journal-3632	240	36	<	<	X
american_scientific_journal-3632	240	37	0	0	NUM
american_scientific_journal-3632	240	38	,	,	PUNCT
american_scientific_journal-3632	240	39	(	(	PUNCT
american_scientific_journal-3632	240	40	θ	θ	PROPN
american_scientific_journal-3632	240	41	+	+	NOUN
american_scientific_journal-3632	240	42	ξ	ξ	X
american_scientific_journal-3632	240	43	)	)	PUNCT
american_scientific_journal-3632	240	44	<	<	X
american_scientific_journal-3632	240	45	0	0	PUNCT
american_scientific_journal-3632	240	46	thus	thus	ADV
american_scientific_journal-3632	240	47	d	d	X
american_scientific_journal-3632	240	48	w(x(t	w(x(t	PROPN
american_scientific_journal-3632	240	49	)	)	PUNCT
american_scientific_journal-3632	240	50	,	,	PUNCT
american_scientific_journal-3632	240	51	y(t	y(t	PROPN
american_scientific_journal-3632	240	52	)	)	PUNCT
american_scientific_journal-3632	240	53	,	,	PUNCT
american_scientific_journal-3632	240	54	t	t	PROPN
american_scientific_journal-3632	240	55	)	)	PUNCT
american_scientific_journal-3632	240	56	0	0	NUM
american_scientific_journal-3632	241	1	dt	dt	PROPN
american_scientific_journal-3632	241	2			NOUN
american_scientific_journal-3632	241	3	which	which	PRON
american_scientific_journal-3632	241	4	implies	imply	VERB
american_scientific_journal-3632	241	5	the	the	DET
american_scientific_journal-3632	241	6	decline	decline	NOUN
american_scientific_journal-3632	241	7	of	of	ADP
american_scientific_journal-3632	241	8	the	the	DET
american_scientific_journal-3632	241	9	function	function	NOUN
american_scientific_journal-3632	241	10	w(x(t),y(t	w(x(t),y(t	PROPN
american_scientific_journal-3632	241	11	)	)	PUNCT
american_scientific_journal-3632	241	12	,	,	PUNCT
american_scientific_journal-3632	241	13	t	t	PROPN
american_scientific_journal-3632	241	14	)	)	PUNCT
american_scientific_journal-3632	241	15	.	.	PUNCT
american_scientific_journal-3632	242	1	according	accord	VERB
american_scientific_journal-3632	242	2	to	to	ADP
american_scientific_journal-3632	242	3	(	(	PUNCT
american_scientific_journal-3632	242	4	14	14	NUM
american_scientific_journal-3632	242	5	)	)	PUNCT
american_scientific_journal-3632	242	6	and	and	CCONJ
american_scientific_journal-3632	242	7	(	(	PUNCT
american_scientific_journal-3632	242	8	15	15	X
american_scientific_journal-3632	242	9	)	)	PUNCT
american_scientific_journal-3632	242	10	we	we	PRON
american_scientific_journal-3632	242	11	have	have	VERB
american_scientific_journal-3632	242	12	for	for	ADP
american_scientific_journal-3632	242	13	any	any	DET
american_scientific_journal-3632	242	14	t	t	NOUN
american_scientific_journal-3632	242	15			NUM
american_scientific_journal-3632	242	16	0	0	NUM
american_scientific_journal-3632	242	17	,	,	PUNCT
american_scientific_journal-3632	242	18	v(x(t),y(t	v(x(t),y(t	PROPN
american_scientific_journal-3632	242	19	)	)	PUNCT
american_scientific_journal-3632	242	20	,	,	PUNCT
american_scientific_journal-3632	242	21	t	t	PROPN
american_scientific_journal-3632	242	22	)	)	PUNCT
american_scientific_journal-3632	243	1	+	+	CCONJ
american_scientific_journal-3632	243	2	2	2	X
american_scientific_journal-3632	243	3	-a	-a	PUNCT
american_scientific_journal-3632	243	4	(	(	PUNCT
american_scientific_journal-3632	243	5	n(s	n(s	NOUN
american_scientific_journal-3632	243	6	)	)	PUNCT
american_scientific_journal-3632	243	7	)	)	PUNCT
american_scientific_journal-3632	243	8	ds	ds	ADP
american_scientific_journal-3632	243	9	,	,	PUNCT
american_scientific_journal-3632	243	10	0	0	NUM
american_scientific_journal-3632	243	11			PROPN
american_scientific_journal-3632	243	12			NUM
american_scientific_journal-3632	243	13			PUNCT
american_scientific_journal-3632	243	14	and	and	CCONJ
american_scientific_journal-3632	243	15	w	w	PROPN
american_scientific_journal-3632	243	16	(	(	PUNCT
american_scientific_journal-3632	243	17	x(t	x(t	PROPN
american_scientific_journal-3632	243	18	)	)	PUNCT
american_scientific_journal-3632	243	19	,	,	PUNCT
american_scientific_journal-3632	243	20	y(t	y(t	PROPN
american_scientific_journal-3632	243	21	)	)	PUNCT
american_scientific_journal-3632	243	22	,	,	PUNCT
american_scientific_journal-3632	243	23	t	t	PROPN
american_scientific_journal-3632	243	24	)	)	PUNCT
american_scientific_journal-3632	243	25			NUM
american_scientific_journal-3632	244	1	+	+	CCONJ
american_scientific_journal-3632	244	2	2	2	NUM
american_scientific_journal-3632	244	3	-b	-b	NUM
american_scientific_journal-3632	244	4	(	(	PUNCT
american_scientific_journal-3632	244	5	n(s	n(s	NOUN
american_scientific_journal-3632	244	6	)	)	PUNCT
american_scientific_journal-3632	244	7	ds.0	ds.0	PROPN
american_scientific_journal-3632	244	8			VERB
american_scientific_journal-3632	244	9			PUNCT
american_scientific_journal-3632	244	10	since	since	SCONJ
american_scientific_journal-3632	244	11	v(x(t),y(t),t	v(x(t),y(t),t	NOUN
american_scientific_journal-3632	244	12	)	)	PUNCT
american_scientific_journal-3632	244	13	and	and	CCONJ
american_scientific_journal-3632	244	14	w(x(t),y(t),t	w(x(t),y(t),t	PROPN
american_scientific_journal-3632	244	15	)	)	PUNCT
american_scientific_journal-3632	244	16	are	be	AUX
american_scientific_journal-3632	244	17	decreasing	decrease	VERB
american_scientific_journal-3632	244	18	then	then	ADV
american_scientific_journal-3632	244	19	they	they	PRON
american_scientific_journal-3632	244	20	are	be	AUX
american_scientific_journal-3632	244	21	converging	converge	VERB
american_scientific_journal-3632	244	22	.	.	PUNCT
american_scientific_journal-3632	245	1	furthermore	furthermore	ADV
american_scientific_journal-3632	245	2	,	,	PUNCT
american_scientific_journal-3632	245	3	by	by	ADP
american_scientific_journal-3632	245	4	using	use	VERB
american_scientific_journal-3632	245	5	the	the	DET
american_scientific_journal-3632	245	6	expressions	expression	NOUN
american_scientific_journal-3632	245	7	of	of	ADP
american_scientific_journal-3632	245	8	v(x(t),y(t	v(x(t),y(t	PROPN
american_scientific_journal-3632	245	9	)	)	PUNCT
american_scientific_journal-3632	245	10	)	)	PUNCT
american_scientific_journal-3632	245	11	and	and	CCONJ
american_scientific_journal-3632	245	12	w(x(t),y(t	w(x(t),y(t	NOUN
american_scientific_journal-3632	245	13	)	)	PUNCT
american_scientific_journal-3632	245	14	)	)	PUNCT
american_scientific_journal-3632	245	15	we	we	PRON
american_scientific_journal-3632	245	16	obtain	obtain	VERB
american_scientific_journal-3632	245	17	the	the	DET
american_scientific_journal-3632	245	18	following	following	ADJ
american_scientific_journal-3632	245	19	result	result	NOUN
american_scientific_journal-3632	245	20	:	:	PUNCT
american_scientific_journal-3632	245	21	2θ(ξ	2θ(ξ	NUM
american_scientific_journal-3632	245	22	+	+	CCONJ
american_scientific_journal-3632	245	23	θ	θ	X
american_scientific_journal-3632	245	24	)	)	PUNCT
american_scientific_journal-3632	245	25	y(t)+	y(t)+	NOUN
american_scientific_journal-3632	245	26	δ	δ	PROPN
american_scientific_journal-3632	245	27	(	(	PUNCT
american_scientific_journal-3632	245	28	y(t	y(t	PROPN
american_scientific_journal-3632	245	29	)	)	PUNCT
american_scientific_journal-3632	245	30	y	y	PROPN
american_scientific_journal-3632	245	31	(	(	PUNCT
american_scientific_journal-3632	245	32	y	y	PROPN
american_scientific_journal-3632	245	33	+	+	PROPN
american_scientific_journal-3632	245	34	δ)ln	δ)ln	PROPN
american_scientific_journal-3632	245	35	=	=	SYM
american_scientific_journal-3632	245	36	v(x(t	v(x(t	PROPN
american_scientific_journal-3632	245	37	)	)	PUNCT
american_scientific_journal-3632	245	38	,	,	PUNCT
american_scientific_journal-3632	245	39	y(t),t	y(t),t	X
american_scientific_journal-3632	245	40	)	)	PUNCT
american_scientific_journal-3632	245	41	w(x(t	w(x(t	PROPN
american_scientific_journal-3632	245	42	)	)	PUNCT
american_scientific_journal-3632	245	43	,	,	PUNCT
american_scientific_journal-3632	245	44	y(t),t	y(t),t	X
american_scientific_journal-3632	245	45	)	)	PUNCT
american_scientific_journal-3632	245	46	α	α	X
american_scientific_journal-3632	245	47	y	y	PROPN
american_scientific_journal-3632	245	48	+	+	CCONJ
american_scientific_journal-3632	245	49	δ	δ	PROPN
american_scientific_journal-3632	245	50			NOUN
american_scientific_journal-3632	245	51			VERB
american_scientific_journal-3632	245	52			CCONJ
american_scientific_journal-3632	245	53			VERB
american_scientific_journal-3632	245	54	2	2	NUM
american_scientific_journal-3632	245	55	t	t	NOUN
american_scientific_journal-3632	245	56	+	+	PROPN
american_scientific_journal-3632	245	57	(	(	PUNCT
american_scientific_journal-3632	245	58	b	b	NOUN
american_scientific_journal-3632	245	59	a	a	NOUN
american_scientific_journal-3632	245	60	)	)	PUNCT
american_scientific_journal-3632	245	61	(	(	PUNCT
american_scientific_journal-3632	245	62	n(s	n(s	NOUN
american_scientific_journal-3632	245	63	)	)	PUNCT
american_scientific_journal-3632	245	64	)	)	PUNCT
american_scientific_journal-3632	245	65	ds.0	ds.0	NOUN
american_scientific_journal-3632	245	66	(	(	PUNCT
american_scientific_journal-3632	245	67	23	23	NUM
american_scientific_journal-3632	245	68	)	)	PUNCT
american_scientific_journal-3632	245	69	it	it	PRON
american_scientific_journal-3632	245	70	becomes	become	VERB
american_scientific_journal-3632	245	71	clear	clear	ADJ
american_scientific_journal-3632	245	72	,	,	PUNCT
american_scientific_journal-3632	245	73	then	then	ADV
american_scientific_journal-3632	245	74	,	,	PUNCT
american_scientific_journal-3632	245	75	that	that	SCONJ
american_scientific_journal-3632	245	76	the	the	DET
american_scientific_journal-3632	245	77	term	term	NOUN
american_scientific_journal-3632	245	78	to	to	ADP
american_scientific_journal-3632	245	79	the	the	DET
american_scientific_journal-3632	245	80	right	right	NOUN
american_scientific_journal-3632	245	81	of	of	ADP
american_scientific_journal-3632	245	82	the	the	DET
american_scientific_journal-3632	245	83	equation	equation	NOUN
american_scientific_journal-3632	245	84	(	(	PUNCT
american_scientific_journal-3632	245	85	23	23	NUM
american_scientific_journal-3632	245	86	)	)	PUNCT
american_scientific_journal-3632	245	87	converges	converge	VERB
american_scientific_journal-3632	245	88	.	.	PUNCT
american_scientific_journal-3632	246	1	in	in	ADP
american_scientific_journal-3632	246	2	effect	effect	NOUN
american_scientific_journal-3632	246	3	,	,	PUNCT
american_scientific_journal-3632	246	4	as	as	SCONJ
american_scientific_journal-3632	246	5	the	the	DET
american_scientific_journal-3632	246	6	linear	linear	ADJ
american_scientific_journal-3632	246	7	combination	combination	NOUN
american_scientific_journal-3632	246	8	of	of	ADP
american_scientific_journal-3632	246	9	the	the	DET
american_scientific_journal-3632	246	10	two	two	NUM
american_scientific_journal-3632	246	11	converging	converge	VERB
american_scientific_journal-3632	246	12	functions	function	NOUN
american_scientific_journal-3632	246	13	v(x(t),y(t),t	v(x(t),y(t),t	NOUN
american_scientific_journal-3632	246	14	)	)	PUNCT
american_scientific_journal-3632	246	15	and	and	CCONJ
american_scientific_journal-3632	246	16	w(x(t),y(t),t	w(x(t),y(t),t	PROPN
american_scientific_journal-3632	246	17	)	)	PUNCT
american_scientific_journal-3632	246	18	is	be	AUX
american_scientific_journal-3632	246	19	converging	converge	VERB
american_scientific_journal-3632	246	20	and	and	CCONJ
american_scientific_journal-3632	246	21	t	t	PROPN
american_scientific_journal-3632	246	22	2	2	NUM
american_scientific_journal-3632	246	23	(	(	PUNCT
american_scientific_journal-3632	246	24	b	b	NOUN
american_scientific_journal-3632	246	25	a	a	NOUN
american_scientific_journal-3632	246	26	)	)	PUNCT
american_scientific_journal-3632	246	27	(	(	PUNCT
american_scientific_journal-3632	246	28	n(s	n(s	NOUN
american_scientific_journal-3632	246	29	)	)	PUNCT
american_scientific_journal-3632	246	30	)	)	PUNCT
american_scientific_journal-3632	247	1	ds0	ds0	PROPN
american_scientific_journal-3632	247	2	converges	converge	NOUN
american_scientific_journal-3632	247	3	towards	towards	ADP
american_scientific_journal-3632	247	4	2	2	NUM
american_scientific_journal-3632	247	5	+	+	CCONJ
american_scientific_journal-3632	247	6	(	(	PUNCT
american_scientific_journal-3632	247	7	b	b	NOUN
american_scientific_journal-3632	247	8	a	a	NOUN
american_scientific_journal-3632	247	9	)	)	PUNCT
american_scientific_journal-3632	247	10	(	(	PUNCT
american_scientific_journal-3632	247	11	n(s	n(s	PROPN
american_scientific_journal-3632	247	12	)	)	PUNCT
american_scientific_journal-3632	247	13	)	)	PUNCT
american_scientific_journal-3632	248	1	ds0	ds0	PROPN
american_scientific_journal-3632	248	2			VERB
american_scientific_journal-3632	248	3			PUNCT
american_scientific_journal-3632	248	4	,	,	PUNCT
american_scientific_journal-3632	248	5	which	which	PRON
american_scientific_journal-3632	248	6	implies	imply	VERB
american_scientific_journal-3632	248	7	the	the	DET
american_scientific_journal-3632	248	8	convergence	convergence	NOUN
american_scientific_journal-3632	248	9	of	of	ADP
american_scientific_journal-3632	248	10	y(t)+	y(t)+	NOUN
american_scientific_journal-3632	248	11	δ	δ	PROPN
american_scientific_journal-3632	248	12	y(t	y(t	PROPN
american_scientific_journal-3632	248	13	)	)	PUNCT
american_scientific_journal-3632	249	1	y	y	PROPN
american_scientific_journal-3632	249	2	(	(	PUNCT
american_scientific_journal-3632	249	3	y	y	PROPN
american_scientific_journal-3632	249	4	+	+	PROPN
american_scientific_journal-3632	249	5	δ)ln	δ)ln	PROPN
american_scientific_journal-3632	249	6	y	y	PROPN
american_scientific_journal-3632	249	7	+	+	CCONJ
american_scientific_journal-3632	249	8	δ	δ	NOUN
american_scientific_journal-3632	249	9			VERB
american_scientific_journal-3632	249	10			NOUN
american_scientific_journal-3632	249	11			NOUN
american_scientific_journal-3632	249	12	.	.	PUNCT
american_scientific_journal-3632	250	1	in	in	ADP
american_scientific_journal-3632	250	2	conclusion	conclusion	NOUN
american_scientific_journal-3632	250	3	,	,	PUNCT
american_scientific_journal-3632	250	4	the	the	DET
american_scientific_journal-3632	250	5	growth	growth	NOUN
american_scientific_journal-3632	250	6	rate	rate	NOUN
american_scientific_journal-3632	250	7	of	of	ADP
american_scientific_journal-3632	250	8	capital	capital	NOUN
american_scientific_journal-3632	250	9	investment	investment	NOUN
american_scientific_journal-3632	250	10	,	,	PUNCT
american_scientific_journal-3632	250	11	y(t	y(t	PROPN
american_scientific_journal-3632	250	12	)	)	PUNCT
american_scientific_journal-3632	250	13	,	,	PUNCT
american_scientific_journal-3632	250	14	converges	converge	VERB
american_scientific_journal-3632	250	15	.	.	PUNCT
american_scientific_journal-3632	251	1	similarly	similarly	ADV
american_scientific_journal-3632	251	2	,	,	PUNCT
american_scientific_journal-3632	251	3	using	use	VERB
american_scientific_journal-3632	251	4	the	the	DET
american_scientific_journal-3632	251	5	fact	fact	NOUN
american_scientific_journal-3632	251	6	that	that	SCONJ
american_scientific_journal-3632	251	7	v(x(t	v(x(t	PROPN
american_scientific_journal-3632	251	8	)	)	PUNCT
american_scientific_journal-3632	251	9	,	,	PUNCT
american_scientific_journal-3632	251	10	y(t	y(t	PROPN
american_scientific_journal-3632	251	11	)	)	PUNCT
american_scientific_journal-3632	251	12	,	,	PUNCT
american_scientific_journal-3632	251	13	t	t	X
american_scientific_journal-3632	251	14	)	)	PUNCT
american_scientific_journal-3632	251	15	converges	converge	NOUN
american_scientific_journal-3632	251	16	as	as	ADP
american_scientific_journal-3632	251	17	does	doe	NOUN
american_scientific_journal-3632	251	18	y(t	y(t	PROPN
american_scientific_journal-3632	251	19	)	)	PUNCT
american_scientific_journal-3632	251	20	,	,	PUNCT
american_scientific_journal-3632	251	21	we	we	PRON
american_scientific_journal-3632	251	22	deduce	deduce	VERB
american_scientific_journal-3632	251	23	that	that	SCONJ
american_scientific_journal-3632	251	24	x(t	x(t	PROPN
american_scientific_journal-3632	251	25	)	)	PUNCT
american_scientific_journal-3632	251	26	x(t	x(t	PROPN
american_scientific_journal-3632	251	27	)	)	PUNCT
american_scientific_journal-3632	251	28	x	x	X
american_scientific_journal-3632	252	1	x	x	X
american_scientific_journal-3632	252	2	ln	ln	NOUN
american_scientific_journal-3632	252	3	x	x	SYM
american_scientific_journal-3632	252	4	∞	∞	NUM
american_scientific_journal-3632	252	5	∞	∞	NUM
american_scientific_journal-3632	252	6	∞	∞	NUM
american_scientific_journal-3632	252	7	converges	converge	NOUN
american_scientific_journal-3632	252	8	,	,	PUNCT
american_scientific_journal-3632	252	9	which	which	PRON
american_scientific_journal-3632	252	10	enables	enable	VERB
american_scientific_journal-3632	252	11	us	we	PRON
american_scientific_journal-3632	252	12	to	to	PART
american_scientific_journal-3632	252	13	say	say	VERB
american_scientific_journal-3632	252	14	that	that	SCONJ
american_scientific_journal-3632	252	15	x(t	x(t	PROPN
american_scientific_journal-3632	252	16	)	)	PUNCT
american_scientific_journal-3632	252	17	is	be	AUX
american_scientific_journal-3632	252	18	also	also	ADV
american_scientific_journal-3632	252	19	converging	converge	VERB
american_scientific_journal-3632	252	20	.	.	PUNCT
american_scientific_journal-3632	253	1	after	after	ADP
american_scientific_journal-3632	253	2	having	having	AUX
american_scientific_journal-3632	253	3	proved	prove	VERB
american_scientific_journal-3632	253	4	the	the	DET
american_scientific_journal-3632	253	5	convergence	convergence	NOUN
american_scientific_journal-3632	253	6	of	of	ADP
american_scientific_journal-3632	253	7	the	the	DET
american_scientific_journal-3632	253	8	capital	capital	NOUN
american_scientific_journal-3632	253	9	accumulation	accumulation	NOUN
american_scientific_journal-3632	253	10	and	and	CCONJ
american_scientific_journal-3632	253	11	technological	technological	ADJ
american_scientific_journal-3632	253	12	progress	progress	NOUN
american_scientific_journal-3632	253	13	growth	growth	NOUN
american_scientific_journal-3632	253	14	rates	rate	NOUN
american_scientific_journal-3632	253	15	(	(	PUNCT
american_scientific_journal-3632	253	16	x(t),y(t	x(t),y(t	PROPN
american_scientific_journal-3632	253	17	)	)	PUNCT
american_scientific_journal-3632	253	18	)	)	PUNCT
american_scientific_journal-3632	253	19	,	,	PUNCT
american_scientific_journal-3632	253	20	we	we	PRON
american_scientific_journal-3632	253	21	will	will	AUX
american_scientific_journal-3632	253	22	confirm	confirm	VERB
american_scientific_journal-3632	253	23	its	its	PRON
american_scientific_journal-3632	253	24	convergence	convergence	NOUN
american_scientific_journal-3632	253	25	to	to	ADP
american_scientific_journal-3632	253	26	the	the	DET
american_scientific_journal-3632	253	27	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	253	28	point	point	NOUN
american_scientific_journal-3632	253	29	(	(	PUNCT
american_scientific_journal-3632	253	30	x	x	X
american_scientific_journal-3632	253	31	,	,	PUNCT
american_scientific_journal-3632	253	32	y	y	PROPN
american_scientific_journal-3632	253	33	)	)	PUNCT
american_scientific_journal-3632	253	34	∞	∞	NUM
american_scientific_journal-3632	253	35	∞	∞	NUM
american_scientific_journal-3632	253	36	.	.	PUNCT
american_scientific_journal-3632	254	1	3.2.2	3.2.2	NUM
american_scientific_journal-3632	254	2	convergence	convergence	NOUN
american_scientific_journal-3632	254	3	of	of	ADP
american_scientific_journal-3632	254	4	the	the	DET
american_scientific_journal-3632	254	5	model	model	NOUN
american_scientific_journal-3632	254	6	's	's	PART
american_scientific_journal-3632	254	7	solution	solution	NOUN
american_scientific_journal-3632	254	8	to	to	ADP
american_scientific_journal-3632	254	9	the	the	DET
american_scientific_journal-3632	254	10	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	254	11	the	the	DET
american_scientific_journal-3632	254	12	second	second	ADJ
american_scientific_journal-3632	254	13	half	half	NOUN
american_scientific_journal-3632	254	14	of	of	ADP
american_scientific_journal-3632	254	15	this	this	DET
american_scientific_journal-3632	254	16	qualitative	qualitative	ADJ
american_scientific_journal-3632	254	17	analysis	analysis	NOUN
american_scientific_journal-3632	254	18	aims	aim	VERB
american_scientific_journal-3632	254	19	to	to	PART
american_scientific_journal-3632	254	20	confirm	confirm	VERB
american_scientific_journal-3632	254	21	the	the	DET
american_scientific_journal-3632	254	22	s2	s2	NOUN
american_scientific_journal-3632	254	23	solution	solution	NOUN
american_scientific_journal-3632	254	24	's	's	PART
american_scientific_journal-3632	254	25	convergence	convergence	NOUN
american_scientific_journal-3632	254	26	to	to	ADP
american_scientific_journal-3632	254	27	the	the	DET
american_scientific_journal-3632	254	28	point	point	NOUN
american_scientific_journal-3632	254	29	of	of	ADP
american_scientific_journal-3632	254	30	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	254	31	(	(	PUNCT
american_scientific_journal-3632	254	32	x	x	X
american_scientific_journal-3632	254	33	,	,	PUNCT
american_scientific_journal-3632	254	34	y	y	PROPN
american_scientific_journal-3632	254	35	)	)	PUNCT
american_scientific_journal-3632	254	36	∞	∞	NUM
american_scientific_journal-3632	254	37	∞	∞	NUM
american_scientific_journal-3632	254	38	.	.	PUNCT
american_scientific_journal-3632	255	1	in	in	ADP
american_scientific_journal-3632	255	2	effect	effect	NOUN
american_scientific_journal-3632	255	3	,	,	PUNCT
american_scientific_journal-3632	255	4	integrating	integrate	VERB
american_scientific_journal-3632	255	5	the	the	DET
american_scientific_journal-3632	255	6	relationship	relationship	NOUN
american_scientific_journal-3632	255	7	(	(	PUNCT
american_scientific_journal-3632	255	8	12	12	NUM
american_scientific_journal-3632	255	9	)	)	PUNCT
american_scientific_journal-3632	255	10	between	between	ADP
american_scientific_journal-3632	255	11	0	0	NUM
american_scientific_journal-3632	255	12	and	and	CCONJ
american_scientific_journal-3632	255	13	t	t	PROPN
american_scientific_journal-3632	255	14	allows	allow	VERB
american_scientific_journal-3632	255	15	us	we	PRON
american_scientific_journal-3632	255	16	to	to	PART
american_scientific_journal-3632	255	17	obtain	obtain	VERB
american_scientific_journal-3632	255	18	the	the	DET
american_scientific_journal-3632	255	19	following	follow	VERB
american_scientific_journal-3632	255	20	result	result	NOUN
american_scientific_journal-3632	255	21	:	:	PUNCT
american_scientific_journal-3632	255	22	θ	θ	X
american_scientific_journal-3632	255	23	θ	θ	X
american_scientific_journal-3632	255	24	+	+	CCONJ
american_scientific_journal-3632	255	25	ξt	ξt	NUM
american_scientific_journal-3632	255	26	t	t	NOUN
american_scientific_journal-3632	255	27	2	2	NUM
american_scientific_journal-3632	255	28	(	(	PUNCT
american_scientific_journal-3632	255	29	x(s	x(s	PROPN
american_scientific_journal-3632	255	30	)	)	PUNCT
american_scientific_journal-3632	255	31	y(s))²ds	y(s))²ds	PROPN
american_scientific_journal-3632	255	32	(	(	PUNCT
american_scientific_journal-3632	255	33	y(s	y(s	PROPN
american_scientific_journal-3632	255	34	)	)	PUNCT
american_scientific_journal-3632	255	35	)	)	PUNCT
american_scientific_journal-3632	255	36	ds	ds	PROPN
american_scientific_journal-3632	255	37	v(x(0	v(x(0	PROPN
american_scientific_journal-3632	255	38	)	)	PUNCT
american_scientific_journal-3632	255	39	,	,	PUNCT
american_scientific_journal-3632	255	40	y(0),0	y(0),0	PROPN
american_scientific_journal-3632	255	41	)	)	PUNCT
american_scientific_journal-3632	255	42	-v(x(t	-v(x(t	PROPN
american_scientific_journal-3632	255	43	)	)	PUNCT
american_scientific_journal-3632	255	44	,	,	PUNCT
american_scientific_journal-3632	255	45	y(t),t).0	y(t),t).0	PROPN
american_scientific_journal-3632	255	46	0	0	NUM
american_scientific_journal-3632	255	47	2	2	NUM
american_scientific_journal-3632	255	48	2	2	NUM
american_scientific_journal-3632	255	49			NOUN
american_scientific_journal-3632	255	50			ADP
american_scientific_journal-3632	255	51	≤	≤	NUM
american_scientific_journal-3632	255	52	as	as	ADP
american_scientific_journal-3632	255	53	v(x(t	v(x(t	PROPN
american_scientific_journal-3632	255	54	)	)	PUNCT
american_scientific_journal-3632	255	55	,	,	PUNCT
american_scientific_journal-3632	255	56	y(t),t	y(t),t	X
american_scientific_journal-3632	255	57	)	)	PUNCT
american_scientific_journal-3632	255	58			NUM
american_scientific_journal-3632	255	59	2	2	NUM
american_scientific_journal-3632	255	60	+	+	CCONJ
american_scientific_journal-3632	255	61	-a	-a	PUNCT
american_scientific_journal-3632	255	62	(	(	PUNCT
american_scientific_journal-3632	255	63	n(s	n(s	NOUN
american_scientific_journal-3632	255	64	)	)	PUNCT
american_scientific_journal-3632	255	65	)	)	PUNCT
american_scientific_journal-3632	256	1	ds,0	ds,0	NOUN
american_scientific_journal-3632	256	2	∞	∞	NOUN
american_scientific_journal-3632	256	3	thus	thus	ADV
american_scientific_journal-3632	256	4	θ	θ	NOUN
american_scientific_journal-3632	256	5	θ	θ	NOUN
american_scientific_journal-3632	257	1	+	+	CCONJ
american_scientific_journal-3632	257	2	ξt	ξt	NUM
american_scientific_journal-3632	257	3	t	t	NOUN
american_scientific_journal-3632	257	4	+2	+2	ADP
american_scientific_journal-3632	257	5	2	2	NUM
american_scientific_journal-3632	257	6	(	(	PUNCT
american_scientific_journal-3632	257	7	x(s	x(s	PROPN
american_scientific_journal-3632	257	8	)	)	PUNCT
american_scientific_journal-3632	257	9	y(s))²ds	y(s))²ds	PROPN
american_scientific_journal-3632	257	10	(	(	PUNCT
american_scientific_journal-3632	257	11	y(s	y(s	PROPN
american_scientific_journal-3632	257	12	)	)	PUNCT
american_scientific_journal-3632	257	13	)	)	PUNCT
american_scientific_journal-3632	257	14	ds	ds	PROPN
american_scientific_journal-3632	257	15	v(x(0	v(x(0	PROPN
american_scientific_journal-3632	257	16	)	)	PUNCT
american_scientific_journal-3632	257	17	,	,	PUNCT
american_scientific_journal-3632	257	18	y(0),0)+	y(0),0)+	PROPN
american_scientific_journal-3632	257	19	a	a	DET
american_scientific_journal-3632	257	20	(	(	PUNCT
american_scientific_journal-3632	257	21	n(s	n(s	PROPN
american_scientific_journal-3632	257	22	)	)	PUNCT
american_scientific_journal-3632	257	23	)	)	PUNCT
american_scientific_journal-3632	257	24	ds.0	ds.0	VERB
american_scientific_journal-3632	257	25	0	0	NUM
american_scientific_journal-3632	257	26	0	0	NUM
american_scientific_journal-3632	257	27	2	2	NUM
american_scientific_journal-3632	257	28	2	2	NUM
american_scientific_journal-3632	257	29			NOUN
american_scientific_journal-3632	257	30			NOUN
american_scientific_journal-3632	257	31			PUNCT
american_scientific_journal-3632	257	32	∞	∞	NUM
american_scientific_journal-3632	257	33	≤	≤	NOUN
american_scientific_journal-3632	257	34	recall	recall	VERB
american_scientific_journal-3632	257	35	that	that	SCONJ
american_scientific_journal-3632	257	36	-θ	-θ	PUNCT
american_scientific_journal-3632	257	37	>	>	X
american_scientific_journal-3632	257	38	0	0	PUNCT
american_scientific_journal-3632	257	39	and	and	CCONJ
american_scientific_journal-3632	257	40	-	-	PUNCT
american_scientific_journal-3632	257	41	(	(	PUNCT
american_scientific_journal-3632	257	42	θ	θ	PROPN
american_scientific_journal-3632	257	43	+	+	NOUN
american_scientific_journal-3632	257	44	ξ	ξ	X
american_scientific_journal-3632	257	45	)	)	PUNCT
american_scientific_journal-3632	257	46	>	>	X
american_scientific_journal-3632	257	47	0	0	PUNCT
american_scientific_journal-3632	258	1	thus	thus	ADV
american_scientific_journal-3632	258	2	,	,	PUNCT
american_scientific_journal-3632	258	3	american	american	ADJ
american_scientific_journal-3632	258	4	scientific	scientific	ADJ
american_scientific_journal-3632	258	5	research	research	NOUN
american_scientific_journal-3632	258	6	journal	journal	NOUN
american_scientific_journal-3632	258	7	for	for	ADP
american_scientific_journal-3632	258	8	engineering	engineering	NOUN
american_scientific_journal-3632	258	9	,	,	PUNCT
american_scientific_journal-3632	258	10	technology	technology	NOUN
american_scientific_journal-3632	258	11	,	,	PUNCT
american_scientific_journal-3632	258	12	and	and	CCONJ
american_scientific_journal-3632	258	13	sciences	science	NOUN
american_scientific_journal-3632	258	14	(	(	PUNCT
american_scientific_journal-3632	258	15	asrjets	asrjet	NOUN
american_scientific_journal-3632	258	16	)	)	PUNCT
american_scientific_journal-3632	258	17	(	(	PUNCT
american_scientific_journal-3632	258	18	2018	2018	NUM
american_scientific_journal-3632	258	19	)	)	PUNCT
american_scientific_journal-3632	258	20	volume	volume	NOUN
american_scientific_journal-3632	258	21	39	39	NUM
american_scientific_journal-3632	258	22	,	,	PUNCT
american_scientific_journal-3632	258	23	no	no	DET
american_scientific_journal-3632	258	24	1	1	NUM
american_scientific_journal-3632	258	25	,	,	PUNCT
american_scientific_journal-3632	258	26	pp	pp	ADJ
american_scientific_journal-3632	258	27	138	138	NUM
american_scientific_journal-3632	258	28	-	-	SYM
american_scientific_journal-3632	258	29	158	158	NUM
american_scientific_journal-3632	258	30	149	149	NUM
american_scientific_journal-3632	258	31	(	(	PUNCT
american_scientific_journal-3632	258	32	2	2	NUM
american_scientific_journal-3632	258	33	t	t	NOUN
american_scientific_journal-3632	258	34	+	+	CCONJ
american_scientific_journal-3632	258	35	2	2	NUM
american_scientific_journal-3632	258	36	(	(	PUNCT
american_scientific_journal-3632	258	37	x(s	x(s	PROPN
american_scientific_journal-3632	258	38	)	)	PUNCT
american_scientific_journal-3632	258	39	y(s))²ds	y(s))²ds	PROPN
american_scientific_journal-3632	258	40	v(x(0	v(x(0	PROPN
american_scientific_journal-3632	258	41	)	)	PUNCT
american_scientific_journal-3632	258	42	,	,	PUNCT
american_scientific_journal-3632	258	43	y(0),0)+	y(0),0)+	PROPN
american_scientific_journal-3632	258	44	a	a	DET
american_scientific_journal-3632	258	45	(	(	PUNCT
american_scientific_journal-3632	258	46	n(s	n(s	NOUN
american_scientific_journal-3632	258	47	)	)	PUNCT
american_scientific_journal-3632	258	48	ds)).0	ds)).0	NOUN
american_scientific_journal-3632	258	49	0	0	NUM
american_scientific_journal-3632	259	1	-θ	-θ	NUM
american_scientific_journal-3632	259	2			NOUN
american_scientific_journal-3632	259	3			SYM
american_scientific_journal-3632	259	4	∞	∞	NUM
american_scientific_journal-3632	259	5	≤	≤	NUM
american_scientific_journal-3632	259	6	(	(	PUNCT
american_scientific_journal-3632	259	7	24	24	NUM
american_scientific_journal-3632	259	8	)	)	PUNCT
american_scientific_journal-3632	259	9	and	and	CCONJ
american_scientific_journal-3632	259	10	(	(	PUNCT
american_scientific_journal-3632	259	11	2	2	NUM
american_scientific_journal-3632	259	12	t	t	NOUN
american_scientific_journal-3632	259	13	+	+	NOUN
american_scientific_journal-3632	259	14	2	2	NUM
american_scientific_journal-3632	259	15	(	(	PUNCT
american_scientific_journal-3632	259	16	y(s))²ds	y(s))²ds	PROPN
american_scientific_journal-3632	259	17	v(x(0	v(x(0	PROPN
american_scientific_journal-3632	259	18	)	)	PUNCT
american_scientific_journal-3632	259	19	,	,	PUNCT
american_scientific_journal-3632	259	20	y(0),0)+	y(0),0)+	PROPN
american_scientific_journal-3632	259	21	a	a	DET
american_scientific_journal-3632	259	22	(	(	PUNCT
american_scientific_journal-3632	259	23	n(s	n(s	NOUN
american_scientific_journal-3632	259	24	)	)	PUNCT
american_scientific_journal-3632	259	25	)	)	PUNCT
american_scientific_journal-3632	260	1	ds).0	ds).0	PROPN
american_scientific_journal-3632	260	2	0	0	NUM
american_scientific_journal-3632	261	1	-θ	-θ	SYM
american_scientific_journal-3632	261	2	ξ	ξ	NOUN
american_scientific_journal-3632	261	3			NOUN
american_scientific_journal-3632	261	4			SYM
american_scientific_journal-3632	261	5	∞	∞	NUM
american_scientific_journal-3632	261	6	≤	≤	NOUN
american_scientific_journal-3632	261	7	(	(	PUNCT
american_scientific_journal-3632	261	8	25	25	NUM
american_scientific_journal-3632	261	9	)	)	PUNCT
american_scientific_journal-3632	261	10	as	as	SCONJ
american_scientific_journal-3632	261	11	t	t	PROPN
american_scientific_journal-3632	261	12	tends	tend	VERB
american_scientific_journal-3632	261	13	towards	towards	ADP
american_scientific_journal-3632	261	14	infinity	infinity	NOUN
american_scientific_journal-3632	261	15	in	in	ADP
american_scientific_journal-3632	261	16	(	(	PUNCT
american_scientific_journal-3632	261	17	24	24	NUM
american_scientific_journal-3632	261	18	)	)	PUNCT
american_scientific_journal-3632	261	19	and	and	CCONJ
american_scientific_journal-3632	261	20	(	(	PUNCT
american_scientific_journal-3632	261	21	25	25	NUM
american_scientific_journal-3632	261	22	)	)	PUNCT
american_scientific_journal-3632	261	23	we	we	PRON
american_scientific_journal-3632	261	24	deduce	deduce	VERB
american_scientific_journal-3632	261	25	that	that	PRON
american_scientific_journal-3632	261	26	+	+	CCONJ
american_scientific_journal-3632	261	27	(	(	PUNCT
american_scientific_journal-3632	261	28	x(s	x(s	PROPN
american_scientific_journal-3632	261	29	)	)	PUNCT
american_scientific_journal-3632	261	30	y(s))²ds0	y(s))²ds0	NOUN
american_scientific_journal-3632	261	31	∞	∞	NUM
american_scientific_journal-3632	261	32	and	and	CCONJ
american_scientific_journal-3632	261	33	+	+	CCONJ
american_scientific_journal-3632	261	34	(	(	PUNCT
american_scientific_journal-3632	261	35	y(s))²ds0	y(s))²ds0	NOUN
american_scientific_journal-3632	261	36	∞	∞	PROPN
american_scientific_journal-3632	261	37	do	do	AUX
american_scientific_journal-3632	261	38	converge	converge	VERB
american_scientific_journal-3632	261	39	.	.	PUNCT
american_scientific_journal-3632	262	1	from	from	ADP
american_scientific_journal-3632	262	2	what	what	PRON
american_scientific_journal-3632	262	3	is	be	AUX
american_scientific_journal-3632	262	4	above	above	ADJ
american_scientific_journal-3632	262	5	,	,	PUNCT
american_scientific_journal-3632	262	6	we	we	PRON
american_scientific_journal-3632	262	7	have	have	AUX
american_scientific_journal-3632	262	8	already	already	ADV
american_scientific_journal-3632	262	9	obtained	obtain	VERB
american_scientific_journal-3632	262	10	the	the	DET
american_scientific_journal-3632	262	11	convergence	convergence	NOUN
american_scientific_journal-3632	262	12	of	of	ADP
american_scientific_journal-3632	262	13	x(t	x(t	PROPN
american_scientific_journal-3632	262	14	)	)	PUNCT
american_scientific_journal-3632	262	15	and	and	CCONJ
american_scientific_journal-3632	262	16	of	of	ADP
american_scientific_journal-3632	262	17	y(t	y(t	PROPN
american_scientific_journal-3632	262	18	)	)	PUNCT
american_scientific_journal-3632	262	19	,	,	PUNCT
american_scientific_journal-3632	262	20	where	where	SCONJ
american_scientific_journal-3632	262	21	we	we	PRON
american_scientific_journal-3632	262	22	can	can	AUX
american_scientific_journal-3632	262	23	state	state	VERB
american_scientific_journal-3632	262	24	that	that	SCONJ
american_scientific_journal-3632	262	25	(	(	PUNCT
american_scientific_journal-3632	262	26	x(t	x(t	PROPN
american_scientific_journal-3632	262	27	)	)	PUNCT
american_scientific_journal-3632	262	28	y(t))²ds	y(t))²ds	NOUN
american_scientific_journal-3632	262	29	and	and	CCONJ
american_scientific_journal-3632	262	30	(	(	PUNCT
american_scientific_journal-3632	262	31	y(t))²	y(t))²	NOUN
american_scientific_journal-3632	262	32	converges	converge	VERB
american_scientific_journal-3632	262	33	,	,	PUNCT
american_scientific_journal-3632	262	34	and	and	CCONJ
american_scientific_journal-3632	262	35	thus	thus	ADV
american_scientific_journal-3632	262	36	(	(	PUNCT
american_scientific_journal-3632	262	37	x(t	x(t	PROPN
american_scientific_journal-3632	262	38	)	)	PUNCT
american_scientific_journal-3632	262	39	y(t))²	y(t))²	PROPN
american_scientific_journal-3632	262	40	and	and	CCONJ
american_scientific_journal-3632	262	41	(	(	PUNCT
american_scientific_journal-3632	262	42	y(t))²	y(t))²	PROPN
american_scientific_journal-3632	262	43	converges	converge	VERB
american_scientific_journal-3632	262	44	towards	towards	ADP
american_scientific_journal-3632	262	45	zero16	zero16	NOUN
american_scientific_journal-3632	262	46	,	,	PUNCT
american_scientific_journal-3632	262	47	that	that	PRON
american_scientific_journal-3632	262	48	is	be	AUX
american_scientific_journal-3632	262	49	to	to	PART
american_scientific_journal-3632	262	50	say	say	VERB
american_scientific_journal-3632	262	51	the	the	DET
american_scientific_journal-3632	262	52	solution	solution	NOUN
american_scientific_journal-3632	262	53	of	of	ADP
american_scientific_journal-3632	262	54	the	the	DET
american_scientific_journal-3632	262	55	s2	s2	PROPN
american_scientific_journal-3632	262	56	model	model	NOUN
american_scientific_journal-3632	262	57	,	,	PUNCT
american_scientific_journal-3632	262	58	(	(	PUNCT
american_scientific_journal-3632	262	59	x(t	x(t	PROPN
american_scientific_journal-3632	262	60	)	)	PUNCT
american_scientific_journal-3632	262	61	,	,	PUNCT
american_scientific_journal-3632	262	62	y(t	y(t	NOUN
american_scientific_journal-3632	262	63	)	)	PUNCT
american_scientific_journal-3632	262	64	)	)	PUNCT
american_scientific_journal-3632	262	65	,	,	PUNCT
american_scientific_journal-3632	262	66	converge	converge	VERB
american_scientific_journal-3632	262	67	towards	towards	ADP
american_scientific_journal-3632	262	68	the	the	DET
american_scientific_journal-3632	262	69	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	262	70	point	point	NOUN
american_scientific_journal-3632	262	71	(	(	PUNCT
american_scientific_journal-3632	262	72	x	x	PROPN
american_scientific_journal-3632	262	73	,	,	PUNCT
american_scientific_journal-3632	262	74	y	y	NOUN
american_scientific_journal-3632	262	75	)	)	PUNCT
american_scientific_journal-3632	262	76	.	.	PUNCT
american_scientific_journal-3632	263	1	we	we	PRON
american_scientific_journal-3632	263	2	continue	continue	VERB
american_scientific_journal-3632	263	3	our	our	PRON
american_scientific_journal-3632	263	4	study	study	NOUN
american_scientific_journal-3632	263	5	into	into	ADP
american_scientific_journal-3632	263	6	the	the	DET
american_scientific_journal-3632	263	7	dynamics	dynamic	NOUN
american_scientific_journal-3632	263	8	of	of	ADP
american_scientific_journal-3632	263	9	the	the	DET
american_scientific_journal-3632	263	10	main	main	ADJ
american_scientific_journal-3632	263	11	factors	factor	NOUN
american_scientific_journal-3632	263	12	of	of	ADP
american_scientific_journal-3632	263	13	production	production	NOUN
american_scientific_journal-3632	263	14	growth	growth	NOUN
american_scientific_journal-3632	263	15	rates	rate	NOUN
american_scientific_journal-3632	263	16	by	by	ADP
american_scientific_journal-3632	263	17	building	build	VERB
american_scientific_journal-3632	263	18	on	on	ADP
american_scientific_journal-3632	263	19	a	a	DET
american_scientific_journal-3632	263	20	numerical	numerical	ADJ
american_scientific_journal-3632	263	21	analysis	analysis	NOUN
american_scientific_journal-3632	263	22	of	of	ADP
american_scientific_journal-3632	263	23	one	one	NUM
american_scientific_journal-3632	263	24	of	of	ADP
american_scientific_journal-3632	263	25	the	the	DET
american_scientific_journal-3632	263	26	most	most	ADV
american_scientific_journal-3632	263	27	important	important	ADJ
american_scientific_journal-3632	263	28	optical	optical	ADJ
american_scientific_journal-3632	263	29	industries	industry	NOUN
american_scientific_journal-3632	263	30	,	,	PUNCT
american_scientific_journal-3632	263	31	canon	canon	NOUN
american_scientific_journal-3632	263	32	.	.	PUNCT
american_scientific_journal-3632	264	1	4	4	X
american_scientific_journal-3632	264	2	.	.	X
american_scientific_journal-3632	264	3	numerical	numerical	ADJ
american_scientific_journal-3632	264	4	application	application	NOUN
american_scientific_journal-3632	264	5	as	as	SCONJ
american_scientific_journal-3632	264	6	it	it	PRON
american_scientific_journal-3632	264	7	is	be	AUX
american_scientific_journal-3632	264	8	always	always	ADV
american_scientific_journal-3632	264	9	important	important	ADJ
american_scientific_journal-3632	264	10	to	to	PART
american_scientific_journal-3632	264	11	verify	verify	VERB
american_scientific_journal-3632	264	12	the	the	DET
american_scientific_journal-3632	264	13	authenticity	authenticity	NOUN
american_scientific_journal-3632	264	14	of	of	ADP
american_scientific_journal-3632	264	15	any	any	DET
american_scientific_journal-3632	264	16	given	give	VERB
american_scientific_journal-3632	264	17	theoretical	theoretical	ADJ
american_scientific_journal-3632	264	18	study	study	NOUN
american_scientific_journal-3632	264	19	,	,	PUNCT
american_scientific_journal-3632	264	20	in	in	ADP
american_scientific_journal-3632	264	21	what	what	PRON
american_scientific_journal-3632	264	22	follows	follow	VERB
american_scientific_journal-3632	264	23	we	we	PRON
american_scientific_journal-3632	264	24	shall	shall	AUX
american_scientific_journal-3632	264	25	tackle	tackle	VERB
american_scientific_journal-3632	264	26	an	an	DET
american_scientific_journal-3632	264	27	example	example	NOUN
american_scientific_journal-3632	264	28	from	from	ADP
american_scientific_journal-3632	264	29	the	the	DET
american_scientific_journal-3632	264	30	real	real	ADJ
american_scientific_journal-3632	264	31	market	market	NOUN
american_scientific_journal-3632	264	32	,	,	PUNCT
american_scientific_journal-3632	264	33	canon	canon	NOUN
american_scientific_journal-3632	264	34	industry	industry	NOUN
american_scientific_journal-3632	264	35	.	.	PUNCT
american_scientific_journal-3632	265	1	4.1	4.1	NUM
american_scientific_journal-3632	265	2	description	description	NOUN
american_scientific_journal-3632	265	3	of	of	ADP
american_scientific_journal-3632	265	4	the	the	DET
american_scientific_journal-3632	265	5	practical	practical	ADJ
american_scientific_journal-3632	265	6	case	case	NOUN
american_scientific_journal-3632	265	7	essentially	essentially	ADV
american_scientific_journal-3632	265	8	,	,	PUNCT
american_scientific_journal-3632	265	9	our	our	PRON
american_scientific_journal-3632	265	10	study	study	NOUN
american_scientific_journal-3632	265	11	focuses	focus	VERB
american_scientific_journal-3632	265	12	on	on	ADP
american_scientific_journal-3632	265	13	the	the	DET
american_scientific_journal-3632	265	14	s2	s2	NOUN
american_scientific_journal-3632	265	15	model	model	NOUN
american_scientific_journal-3632	265	16	which	which	PRON
american_scientific_journal-3632	265	17	allows	allow	VERB
american_scientific_journal-3632	265	18	us	we	PRON
american_scientific_journal-3632	265	19	to	to	PART
american_scientific_journal-3632	265	20	describe	describe	VERB
american_scientific_journal-3632	265	21	the	the	DET
american_scientific_journal-3632	265	22	evolution	evolution	NOUN
american_scientific_journal-3632	265	23	of	of	ADP
american_scientific_journal-3632	265	24	the	the	DET
american_scientific_journal-3632	265	25	nature	nature	NOUN
american_scientific_journal-3632	265	26	of	of	ADP
american_scientific_journal-3632	265	27	interaction	interaction	NOUN
american_scientific_journal-3632	265	28	between	between	ADP
american_scientific_journal-3632	265	29	economic	economic	ADJ
american_scientific_journal-3632	265	30	variables	variable	NOUN
american_scientific_journal-3632	265	31	x(t	x(t	PROPN
american_scientific_journal-3632	265	32	)	)	PUNCT
american_scientific_journal-3632	265	33	,	,	PUNCT
american_scientific_journal-3632	265	34	y(t	y(t	NUM
american_scientific_journal-3632	265	35	)	)	PUNCT
american_scientific_journal-3632	265	36	and	and	CCONJ
american_scientific_journal-3632	265	37	n(t	n(t	NUM
american_scientific_journal-3632	265	38	)	)	PUNCT
american_scientific_journal-3632	265	39	.	.	PUNCT
american_scientific_journal-3632	266	1	investments	investment	NOUN
american_scientific_journal-3632	266	2	in	in	ADP
american_scientific_journal-3632	266	3	capital	capital	NOUN
american_scientific_journal-3632	266	4	and	and	CCONJ
american_scientific_journal-3632	266	5	r&d	r&d	NOUN
american_scientific_journal-3632	266	6	are	be	AUX
american_scientific_journal-3632	266	7	known	know	VERB
american_scientific_journal-3632	266	8	as	as	ADP
american_scientific_journal-3632	266	9	being	be	AUX
american_scientific_journal-3632	266	10	variables	variable	NOUN
american_scientific_journal-3632	266	11	which	which	PRON
american_scientific_journal-3632	266	12	intervene	intervene	VERB
american_scientific_journal-3632	266	13	in	in	ADP
american_scientific_journal-3632	266	14	the	the	DET
american_scientific_journal-3632	266	15	same	same	ADJ
american_scientific_journal-3632	266	16	industrial	industrial	ADJ
american_scientific_journal-3632	266	17	environment	environment	NOUN
american_scientific_journal-3632	266	18	and	and	CCONJ
american_scientific_journal-3632	266	19	so	so	ADV
american_scientific_journal-3632	266	20	there	there	PRON
american_scientific_journal-3632	266	21	exists	exist	VERB
american_scientific_journal-3632	266	22	a	a	DET
american_scientific_journal-3632	266	23	classical	classical	ADJ
american_scientific_journal-3632	266	24	way	way	NOUN
american_scientific_journal-3632	266	25	to	to	PART
american_scientific_journal-3632	266	26	describe	describe	VERB
american_scientific_journal-3632	266	27	the	the	DET
american_scientific_journal-3632	266	28	various	various	ADJ
american_scientific_journal-3632	266	29	relationships	relationship	NOUN
american_scientific_journal-3632	266	30	between	between	ADP
american_scientific_journal-3632	266	31	x(t	x(t	PROPN
american_scientific_journal-3632	266	32	)	)	PUNCT
american_scientific_journal-3632	266	33	and	and	CCONJ
american_scientific_journal-3632	266	34	y(t	y(t	NUM
american_scientific_journal-3632	266	35	)	)	PUNCT
american_scientific_journal-3632	266	36	,	,	PUNCT
american_scientific_journal-3632	266	37	as	as	SCONJ
american_scientific_journal-3632	266	38	illustrated	illustrate	VERB
american_scientific_journal-3632	266	39	in	in	ADP
american_scientific_journal-3632	266	40	the	the	DET
american_scientific_journal-3632	266	41	table	table	NOUN
american_scientific_journal-3632	266	42	below	below	ADV
american_scientific_journal-3632	266	43	:	:	PUNCT
american_scientific_journal-3632	266	44	table	table	NOUN
american_scientific_journal-3632	266	45	1	1	NUM
american_scientific_journal-3632	266	46	:	:	PUNCT
american_scientific_journal-3632	266	47	the	the	DET
american_scientific_journal-3632	266	48	nature	nature	NOUN
american_scientific_journal-3632	266	49	of	of	ADP
american_scientific_journal-3632	266	50	relationships	relationship	NOUN
american_scientific_journal-3632	266	51	between	between	ADP
american_scientific_journal-3632	266	52	x(t	x(t	PROPN
american_scientific_journal-3632	266	53	)	)	PUNCT
american_scientific_journal-3632	266	54	and	and	CCONJ
american_scientific_journal-3632	266	55	y(t	y(t	NUM
american_scientific_journal-3632	266	56	)	)	PUNCT
american_scientific_journal-3632	266	57	signe	signe	PROPN
american_scientific_journal-3632	266	58	de	de	X
american_scientific_journal-3632	266	59			NOUN
american_scientific_journal-3632	266	60	’	'	PUNCT
american_scientific_journal-3632	266	61	0	0	PUNCT
american_scientific_journal-3632	267	1	+	+	CCONJ
american_scientific_journal-3632	267	2	signe	signe	ADJ
american_scientific_journal-3632	267	3	de	de	X
american_scientific_journal-3632	267	4			NOUN
american_scientific_journal-3632	267	5	competition	competition	NOUN
american_scientific_journal-3632	267	6	0	0	NUM
american_scientific_journal-3632	267	7	amensalism	amensalism	NOUN
american_scientific_journal-3632	267	8	neutralism	neutralism	NOUN
american_scientific_journal-3632	267	9	+	+	CCONJ
american_scientific_journal-3632	267	10	predation	predation	NOUN
american_scientific_journal-3632	267	11	commensalism	commensalism	NOUN
american_scientific_journal-3632	267	12	mutualism	mutualism	NOUN
american_scientific_journal-3632	267	13	source	source	NOUN
american_scientific_journal-3632	267	14	:	:	PUNCT
american_scientific_journal-3632	268	1	[	[	X
american_scientific_journal-3632	268	2	19	19	NUM
american_scientific_journal-3632	268	3	]	]	SYM
american_scientific_journal-3632	268	4	16	16	NUM
american_scientific_journal-3632	268	5	this	this	DET
american_scientific_journal-3632	268	6	result	result	NOUN
american_scientific_journal-3632	268	7	is	be	AUX
american_scientific_journal-3632	268	8	known	know	VERB
american_scientific_journal-3632	268	9	in	in	ADP
american_scientific_journal-3632	268	10	the	the	DET
american_scientific_journal-3632	268	11	case	case	NOUN
american_scientific_journal-3632	268	12	of	of	ADP
american_scientific_journal-3632	268	13	general	general	ADJ
american_scientific_journal-3632	268	14	integrals	integral	NOUN
american_scientific_journal-3632	268	15	.	.	PUNCT
american_scientific_journal-3632	269	1	american	american	ADJ
american_scientific_journal-3632	269	2	scientific	scientific	ADJ
american_scientific_journal-3632	269	3	research	research	PROPN
american_scientific_journal-3632	269	4	journal	journal	NOUN
american_scientific_journal-3632	269	5	for	for	ADP
american_scientific_journal-3632	269	6	engineering	engineering	NOUN
american_scientific_journal-3632	269	7	,	,	PUNCT
american_scientific_journal-3632	269	8	technology	technology	NOUN
american_scientific_journal-3632	269	9	,	,	PUNCT
american_scientific_journal-3632	269	10	and	and	CCONJ
american_scientific_journal-3632	269	11	sciences	science	NOUN
american_scientific_journal-3632	269	12	(	(	PUNCT
american_scientific_journal-3632	269	13	asrjets	asrjet	NOUN
american_scientific_journal-3632	269	14	)	)	PUNCT
american_scientific_journal-3632	269	15	(	(	PUNCT
american_scientific_journal-3632	269	16	2018	2018	NUM
american_scientific_journal-3632	269	17	)	)	PUNCT
american_scientific_journal-3632	269	18	volume	volume	NOUN
american_scientific_journal-3632	269	19	39	39	NUM
american_scientific_journal-3632	269	20	,	,	PUNCT
american_scientific_journal-3632	269	21	no	no	DET
american_scientific_journal-3632	269	22	1	1	NUM
american_scientific_journal-3632	269	23	,	,	PUNCT
american_scientific_journal-3632	269	24	pp	pp	ADJ
american_scientific_journal-3632	269	25	138	138	NUM
american_scientific_journal-3632	269	26	-	-	SYM
american_scientific_journal-3632	269	27	158	158	NUM
american_scientific_journal-3632	269	28	150	150	NUM
american_scientific_journal-3632	269	29	based	base	VERB
american_scientific_journal-3632	269	30	on	on	ADP
american_scientific_journal-3632	269	31	the	the	DET
american_scientific_journal-3632	269	32	work	work	NOUN
american_scientific_journal-3632	269	33	of	of	ADP
american_scientific_journal-3632	269	34	[	[	X
american_scientific_journal-3632	269	35	20	20	NUM
american_scientific_journal-3632	269	36	,	,	PUNCT
american_scientific_journal-3632	269	37	21	21	NUM
american_scientific_journal-3632	269	38	,	,	PUNCT
american_scientific_journal-3632	269	39	22	22	NUM
american_scientific_journal-3632	269	40	]	]	PUNCT
american_scientific_journal-3632	269	41	and	and	CCONJ
american_scientific_journal-3632	269	42	on	on	ADP
american_scientific_journal-3632	269	43	the	the	DET
american_scientific_journal-3632	269	44	data	datum	NOUN
american_scientific_journal-3632	269	45	in	in	ADP
american_scientific_journal-3632	269	46	the	the	DET
american_scientific_journal-3632	269	47	above	above	ADJ
american_scientific_journal-3632	269	48	table	table	NOUN
american_scientific_journal-3632	269	49	,	,	PUNCT
american_scientific_journal-3632	269	50	we	we	PRON
american_scientific_journal-3632	269	51	can	can	AUX
american_scientific_journal-3632	269	52	distinguish	distinguish	VERB
american_scientific_journal-3632	269	53	6	6	NUM
american_scientific_journal-3632	269	54	modes	mode	NOUN
american_scientific_journal-3632	269	55	of	of	ADP
american_scientific_journal-3632	269	56	interaction	interaction	NOUN
american_scientific_journal-3632	269	57	which	which	PRON
american_scientific_journal-3632	269	58	can	can	AUX
american_scientific_journal-3632	269	59	exist	exist	VERB
american_scientific_journal-3632	269	60	between	between	ADP
american_scientific_journal-3632	269	61	the	the	DET
american_scientific_journal-3632	269	62	r&d	r&d	NOUN
american_scientific_journal-3632	269	63	and	and	CCONJ
american_scientific_journal-3632	269	64	capital	capital	NOUN
american_scientific_journal-3632	269	65	growth	growth	NOUN
american_scientific_journal-3632	269	66	rates	rate	NOUN
american_scientific_journal-3632	269	67	x(t	x(t	PROPN
american_scientific_journal-3632	269	68	)	)	PUNCT
american_scientific_journal-3632	269	69	and	and	CCONJ
american_scientific_journal-3632	269	70	y(t	y(t	NUM
american_scientific_journal-3632	269	71	)	)	PUNCT
american_scientific_journal-3632	269	72	,	,	PUNCT
american_scientific_journal-3632	269	73	and	and	CCONJ
american_scientific_journal-3632	269	74	that	that	PRON
american_scientific_journal-3632	269	75	depends	depend	VERB
american_scientific_journal-3632	269	76	on	on	ADP
american_scientific_journal-3632	269	77	the	the	DET
american_scientific_journal-3632	269	78	sign	sign	NOUN
american_scientific_journal-3632	269	79	of	of	ADP
american_scientific_journal-3632	269	80	the	the	DET
american_scientific_journal-3632	269	81	model	model	NOUN
american_scientific_journal-3632	269	82	's	's	PART
american_scientific_journal-3632	269	83	parameters	parameter	NOUN
american_scientific_journal-3632	269	84	.	.	PUNCT
american_scientific_journal-3632	270	1	this	this	PRON
american_scientific_journal-3632	270	2	brings	bring	VERB
american_scientific_journal-3632	270	3	us	we	PRON
american_scientific_journal-3632	270	4	to	to	PART
american_scientific_journal-3632	270	5	estimate	estimate	VERB
american_scientific_journal-3632	270	6	the	the	DET
american_scientific_journal-3632	270	7	parameters	parameter	NOUN
american_scientific_journal-3632	270	8	of	of	ADP
american_scientific_journal-3632	270	9	s2	s2	NOUN
american_scientific_journal-3632	270	10	in	in	ADP
american_scientific_journal-3632	270	11	order	order	NOUN
american_scientific_journal-3632	270	12	to	to	PART
american_scientific_journal-3632	270	13	know	know	VERB
american_scientific_journal-3632	270	14	their	their	PRON
american_scientific_journal-3632	270	15	signs	sign	NOUN
american_scientific_journal-3632	270	16	and	and	CCONJ
american_scientific_journal-3632	270	17	identify	identify	VERB
american_scientific_journal-3632	270	18	as	as	ADP
american_scientific_journal-3632	270	19	a	a	DET
american_scientific_journal-3632	270	20	result	result	NOUN
american_scientific_journal-3632	270	21	the	the	DET
american_scientific_journal-3632	270	22	mode	mode	NOUN
american_scientific_journal-3632	270	23	of	of	ADP
american_scientific_journal-3632	270	24	interaction	interaction	NOUN
american_scientific_journal-3632	270	25	which	which	PRON
american_scientific_journal-3632	270	26	really	really	ADV
american_scientific_journal-3632	270	27	exists	exist	VERB
american_scientific_journal-3632	270	28	between	between	ADP
american_scientific_journal-3632	270	29	the	the	DET
american_scientific_journal-3632	270	30	growth	growth	NOUN
american_scientific_journal-3632	270	31	rate	rate	NOUN
american_scientific_journal-3632	270	32	of	of	ADP
american_scientific_journal-3632	270	33	both	both	PRON
american_scientific_journal-3632	270	34	capital	capital	NOUN
american_scientific_journal-3632	270	35	accumulation	accumulation	NOUN
american_scientific_journal-3632	270	36	and	and	CCONJ
american_scientific_journal-3632	270	37	technological	technological	ADJ
american_scientific_journal-3632	270	38	progress	progress	NOUN
american_scientific_journal-3632	270	39	in	in	ADP
american_scientific_journal-3632	270	40	canon	canon	NOUN
american_scientific_journal-3632	270	41	,	,	PUNCT
american_scientific_journal-3632	270	42	an	an	DET
american_scientific_journal-3632	270	43	industry	industry	NOUN
american_scientific_journal-3632	270	44	with	with	ADP
american_scientific_journal-3632	270	45	a	a	DET
american_scientific_journal-3632	270	46	high	high	ADJ
american_scientific_journal-3632	270	47	degree	degree	NOUN
american_scientific_journal-3632	270	48	of	of	ADP
american_scientific_journal-3632	270	49	innovation	innovation	NOUN
american_scientific_journal-3632	270	50	.	.	PUNCT
american_scientific_journal-3632	271	1	4.2	4.2	NUM
american_scientific_journal-3632	271	2	parameters	parameter	NOUN
american_scientific_journal-3632	271	3	estimation	estimation	VERB
american_scientific_journal-3632	271	4	our	our	PRON
american_scientific_journal-3632	271	5	studied	study	VERB
american_scientific_journal-3632	271	6	s2	s2	NOUN
american_scientific_journal-3632	271	7	system	system	NOUN
american_scientific_journal-3632	271	8	involves	involve	VERB
american_scientific_journal-3632	271	9	5	5	NUM
american_scientific_journal-3632	271	10	parameters	parameter	NOUN
american_scientific_journal-3632	271	11	which	which	PRON
american_scientific_journal-3632	271	12	we	we	PRON
american_scientific_journal-3632	271	13	will	will	AUX
american_scientific_journal-3632	271	14	try	try	VERB
american_scientific_journal-3632	271	15	to	to	PART
american_scientific_journal-3632	271	16	estimate	estimate	VERB
american_scientific_journal-3632	271	17	using	use	VERB
american_scientific_journal-3632	271	18	experimental	experimental	ADJ
american_scientific_journal-3632	271	19	data	datum	NOUN
american_scientific_journal-3632	271	20	from	from	ADP
american_scientific_journal-3632	271	21	canon	canon	NOUN
american_scientific_journal-3632	271	22	industry	industry	NOUN
american_scientific_journal-3632	271	23	in	in	ADP
american_scientific_journal-3632	271	24	order	order	NOUN
american_scientific_journal-3632	271	25	to	to	PART
american_scientific_journal-3632	271	26	identify	identify	VERB
american_scientific_journal-3632	271	27	the	the	DET
american_scientific_journal-3632	271	28	nature	nature	NOUN
american_scientific_journal-3632	271	29	of	of	ADP
american_scientific_journal-3632	271	30	the	the	DET
american_scientific_journal-3632	271	31	relationship	relationship	NOUN
american_scientific_journal-3632	271	32	between	between	ADP
american_scientific_journal-3632	271	33	variables	variable	NOUN
american_scientific_journal-3632	271	34	.	.	PUNCT
american_scientific_journal-3632	272	1	4.2.1	4.2.1	NUM
american_scientific_journal-3632	272	2	initial	initial	ADJ
american_scientific_journal-3632	272	3	data	datum	NOUN
american_scientific_journal-3632	272	4	the	the	DET
american_scientific_journal-3632	272	5	numerical	numerical	ADJ
american_scientific_journal-3632	272	6	evaluation	evaluation	NOUN
american_scientific_journal-3632	272	7	of	of	ADP
american_scientific_journal-3632	272	8	the	the	DET
american_scientific_journal-3632	272	9	s2	s2	NOUN
american_scientific_journal-3632	272	10	model	model	NOUN
american_scientific_journal-3632	272	11	is	be	AUX
american_scientific_journal-3632	272	12	based	base	VERB
american_scientific_journal-3632	272	13	on	on	ADP
american_scientific_journal-3632	272	14	quarterly	quarterly	ADJ
american_scientific_journal-3632	272	15	data	datum	NOUN
american_scientific_journal-3632	272	16	describing	describe	VERB
american_scientific_journal-3632	272	17	the	the	DET
american_scientific_journal-3632	272	18	growth	growth	NOUN
american_scientific_journal-3632	272	19	rates	rate	NOUN
american_scientific_journal-3632	272	20	of	of	ADP
american_scientific_journal-3632	272	21	investment	investment	NOUN
american_scientific_journal-3632	272	22	in	in	ADP
american_scientific_journal-3632	272	23	capital	capital	NOUN
american_scientific_journal-3632	272	24	,	,	PUNCT
american_scientific_journal-3632	272	25	r&d	r&d	NOUN
american_scientific_journal-3632	272	26	and	and	CCONJ
american_scientific_journal-3632	272	27	labour	labour	NOUN
american_scientific_journal-3632	272	28	in	in	ADP
american_scientific_journal-3632	272	29	the	the	DET
american_scientific_journal-3632	272	30	canon	canon	NOUN
american_scientific_journal-3632	272	31	industry	industry	NOUN
american_scientific_journal-3632	272	32	.	.	PUNCT
american_scientific_journal-3632	273	1	these	these	DET
american_scientific_journal-3632	273	2	data	datum	NOUN
american_scientific_journal-3632	273	3	have	have	AUX
american_scientific_journal-3632	273	4	been	be	AUX
american_scientific_journal-3632	273	5	compiled	compile	VERB
american_scientific_journal-3632	273	6	from	from	ADP
american_scientific_journal-3632	273	7	annual	annual	ADJ
american_scientific_journal-3632	273	8	reports	report	NOUN
american_scientific_journal-3632	273	9	that	that	PRON
american_scientific_journal-3632	273	10	are	be	AUX
american_scientific_journal-3632	273	11	available	available	ADJ
american_scientific_journal-3632	273	12	online	online	ADV
american_scientific_journal-3632	273	13	from	from	ADP
american_scientific_journal-3632	273	14	the	the	DET
american_scientific_journal-3632	273	15	first	first	ADJ
american_scientific_journal-3632	273	16	quarter	quarter	NOUN
american_scientific_journal-3632	273	17	of	of	ADP
american_scientific_journal-3632	273	18	2000	2000	NUM
american_scientific_journal-3632	273	19	to	to	ADP
american_scientific_journal-3632	273	20	the	the	DET
american_scientific_journal-3632	273	21	final	final	ADJ
american_scientific_journal-3632	273	22	quarter	quarter	NOUN
american_scientific_journal-3632	273	23	of	of	ADP
american_scientific_journal-3632	273	24	2014	2014	NUM
american_scientific_journal-3632	273	25	,	,	PUNCT
american_scientific_journal-3632	273	26	covering	cover	VERB
american_scientific_journal-3632	273	27	a	a	DET
american_scientific_journal-3632	273	28	total	total	NOUN
american_scientific_journal-3632	273	29	of	of	ADP
american_scientific_journal-3632	273	30	56	56	NUM
american_scientific_journal-3632	273	31	quarters	quarter	NOUN
american_scientific_journal-3632	273	32	.	.	PUNCT
american_scientific_journal-3632	274	1	several	several	ADJ
american_scientific_journal-3632	274	2	tests	test	NOUN
american_scientific_journal-3632	274	3	with	with	ADP
american_scientific_journal-3632	274	4	simulated	simulated	ADJ
american_scientific_journal-3632	274	5	data	data	NOUN
american_scientific_journal-3632	274	6	parameters	parameter	NOUN
american_scientific_journal-3632	274	7	were	be	AUX
american_scientific_journal-3632	274	8	carried	carry	VERB
american_scientific_journal-3632	274	9	out	out	ADP
american_scientific_journal-3632	274	10	to	to	PART
american_scientific_journal-3632	274	11	allow	allow	VERB
american_scientific_journal-3632	274	12	us	we	PRON
american_scientific_journal-3632	274	13	to	to	PART
american_scientific_journal-3632	274	14	adopt	adopt	VERB
american_scientific_journal-3632	274	15	an	an	DET
american_scientific_journal-3632	274	16	initial	initial	ADJ
american_scientific_journal-3632	274	17	estimate	estimate	NOUN
american_scientific_journal-3632	274	18	of	of	ADP
american_scientific_journal-3632	274	19	(	(	PUNCT
american_scientific_journal-3632	274	20	’0	’0	ADJ
american_scientific_journal-3632	274	21	,	,	PUNCT
american_scientific_journal-3632	274	22	θ0	θ0	PROPN
american_scientific_journal-3632	274	23	,	,	PUNCT
american_scientific_journal-3632	274	24	0	0	INTJ
american_scientific_journal-3632	274	25	,	,	PUNCT
american_scientific_journal-3632	274	26	0	0	ADJ
american_scientific_journal-3632	274	27	,	,	PUNCT
american_scientific_journal-3632	274	28	0	0	NOUN
american_scientific_journal-3632	274	29	)	)	PUNCT
american_scientific_journal-3632	274	30	.	.	PUNCT
american_scientific_journal-3632	275	1	the	the	DET
american_scientific_journal-3632	275	2	latter	latter	ADJ
american_scientific_journal-3632	275	3	is	be	AUX
american_scientific_journal-3632	275	4	used	use	VERB
american_scientific_journal-3632	275	5	to	to	PART
american_scientific_journal-3632	275	6	give	give	VERB
american_scientific_journal-3632	275	7	a	a	DET
american_scientific_journal-3632	275	8	more	more	ADV
american_scientific_journal-3632	275	9	precise	precise	ADJ
american_scientific_journal-3632	275	10	estimate	estimate	NOUN
american_scientific_journal-3632	275	11	of	of	ADP
american_scientific_journal-3632	275	12	the	the	DET
american_scientific_journal-3632	275	13	parameters	parameter	NOUN
american_scientific_journal-3632	275	14	of	of	ADP
american_scientific_journal-3632	275	15	the	the	DET
american_scientific_journal-3632	275	16	model	model	NOUN
american_scientific_journal-3632	275	17	.	.	PUNCT
american_scientific_journal-3632	276	1	4.2.2	4.2.2	NUM
american_scientific_journal-3632	276	2	model	model	NOUN
american_scientific_journal-3632	276	3	parameters	parameter	NOUN
american_scientific_journal-3632	276	4	estimation	estimation	NOUN
american_scientific_journal-3632	276	5	in	in	ADP
american_scientific_journal-3632	276	6	order	order	NOUN
american_scientific_journal-3632	276	7	to	to	PART
american_scientific_journal-3632	276	8	evaluate	evaluate	VERB
american_scientific_journal-3632	276	9	the	the	DET
american_scientific_journal-3632	276	10	estimated	estimate	VERB
american_scientific_journal-3632	276	11	values	value	NOUN
american_scientific_journal-3632	276	12	of	of	ADP
american_scientific_journal-3632	276	13	the	the	DET
american_scientific_journal-3632	276	14	model	model	NOUN
american_scientific_journal-3632	276	15	's	's	PART
american_scientific_journal-3632	276	16	parameters	parameter	NOUN
american_scientific_journal-3632	276	17	,	,	PUNCT
american_scientific_journal-3632	276	18	we	we	PRON
american_scientific_journal-3632	276	19	will	will	AUX
american_scientific_journal-3632	276	20	use	use	VERB
american_scientific_journal-3632	276	21	the	the	DET
american_scientific_journal-3632	276	22	information	information	NOUN
american_scientific_journal-3632	276	23	we	we	PRON
american_scientific_journal-3632	276	24	have	have	VERB
american_scientific_journal-3632	276	25	available	available	ADJ
american_scientific_journal-3632	276	26	on	on	ADP
american_scientific_journal-3632	276	27	the	the	DET
american_scientific_journal-3632	276	28	evolution	evolution	NOUN
american_scientific_journal-3632	276	29	of	of	ADP
american_scientific_journal-3632	276	30	time	time	NOUN
american_scientific_journal-3632	276	31	data	datum	NOUN
american_scientific_journal-3632	276	32	of	of	ADP
american_scientific_journal-3632	276	33	the	the	DET
american_scientific_journal-3632	276	34	variables	variable	NOUN
american_scientific_journal-3632	276	35	x(t	x(t	PROPN
american_scientific_journal-3632	276	36	)	)	PUNCT
american_scientific_journal-3632	276	37	and	and	CCONJ
american_scientific_journal-3632	276	38	y(t	y(t	NUM
american_scientific_journal-3632	276	39	)	)	PUNCT
american_scientific_journal-3632	276	40	.	.	PUNCT
american_scientific_journal-3632	277	1	we	we	PRON
american_scientific_journal-3632	277	2	'll	will	AUX
american_scientific_journal-3632	277	3	estimate	estimate	VERB
american_scientific_journal-3632	277	4	the	the	DET
american_scientific_journal-3632	277	5	parameters	parameter	NOUN
american_scientific_journal-3632	277	6	of	of	ADP
american_scientific_journal-3632	277	7	s2	s2	NOUN
american_scientific_journal-3632	277	8	by	by	ADP
american_scientific_journal-3632	277	9	adapting	adapt	VERB
american_scientific_journal-3632	277	10	them	they	PRON
american_scientific_journal-3632	277	11	to	to	ADP
american_scientific_journal-3632	277	12	the	the	DET
american_scientific_journal-3632	277	13	experimental	experimental	ADJ
american_scientific_journal-3632	277	14	data	datum	NOUN
american_scientific_journal-3632	277	15	.	.	PUNCT
american_scientific_journal-3632	278	1	the	the	DET
american_scientific_journal-3632	278	2	estimation	estimation	NOUN
american_scientific_journal-3632	278	3	of	of	ADP
american_scientific_journal-3632	278	4	the	the	DET
american_scientific_journal-3632	278	5	unknown	unknown	ADJ
american_scientific_journal-3632	278	6	parameters	parameter	NOUN
american_scientific_journal-3632	278	7	of	of	ADP
american_scientific_journal-3632	278	8	the	the	DET
american_scientific_journal-3632	278	9	model	model	NOUN
american_scientific_journal-3632	278	10	(	(	PUNCT
american_scientific_journal-3632	278	11			PROPN
american_scientific_journal-3632	278	12	,	,	PUNCT
american_scientific_journal-3632	278	13	θ	θ	PROPN
american_scientific_journal-3632	278	14	,	,	PUNCT
american_scientific_journal-3632	278	15			NUM
american_scientific_journal-3632	278	16	,	,	PUNCT
american_scientific_journal-3632	278	17			NOUN
american_scientific_journal-3632	278	18	’	'	PUNCT
american_scientific_journal-3632	278	19	and	and	CCONJ
american_scientific_journal-3632	278	20			NUM
american_scientific_journal-3632	278	21	)	)	PUNCT
american_scientific_journal-3632	278	22	are	be	AUX
american_scientific_journal-3632	278	23	created	create	VERB
american_scientific_journal-3632	278	24	by	by	ADP
american_scientific_journal-3632	278	25	using	use	VERB
american_scientific_journal-3632	278	26	the	the	DET
american_scientific_journal-3632	278	27	values	value	NOUN
american_scientific_journal-3632	278	28	of	of	ADP
american_scientific_journal-3632	278	29	x	x	X
american_scientific_journal-3632	278	30	and	and	CCONJ
american_scientific_journal-3632	278	31	y	y	PROPN
american_scientific_journal-3632	278	32	which	which	PRON
american_scientific_journal-3632	278	33	we	we	PRON
american_scientific_journal-3632	278	34	obtained	obtain	VERB
american_scientific_journal-3632	278	35	from	from	ADP
american_scientific_journal-3632	278	36	experimental	experimental	ADJ
american_scientific_journal-3632	278	37	data	datum	NOUN
american_scientific_journal-3632	278	38	.	.	PUNCT
american_scientific_journal-3632	279	1	this	this	PRON
american_scientific_journal-3632	279	2	will	will	AUX
american_scientific_journal-3632	279	3	prove	prove	VERB
american_scientific_journal-3632	279	4	benefits	benefit	NOUN
american_scientific_journal-3632	279	5	when	when	SCONJ
american_scientific_journal-3632	279	6	searching	search	VERB
american_scientific_journal-3632	279	7	for	for	ADP
american_scientific_journal-3632	279	8	parameters	parameter	NOUN
american_scientific_journal-3632	279	9	that	that	PRON
american_scientific_journal-3632	279	10	adapt	adapt	VERB
american_scientific_journal-3632	279	11	well	well	ADV
american_scientific_journal-3632	279	12	to	to	ADP
american_scientific_journal-3632	279	13	the	the	DET
american_scientific_journal-3632	279	14	experimental	experimental	ADJ
american_scientific_journal-3632	279	15	data	datum	NOUN
american_scientific_journal-3632	279	16	.	.	PUNCT
american_scientific_journal-3632	280	1	we	we	PRON
american_scientific_journal-3632	280	2	thus	thus	ADV
american_scientific_journal-3632	280	3	define	define	VERB
american_scientific_journal-3632	280	4	a	a	DET
american_scientific_journal-3632	280	5	function	function	NOUN
american_scientific_journal-3632	280	6	of	of	ADP
american_scientific_journal-3632	280	7	the	the	DET
american_scientific_journal-3632	280	8	least	least	ADJ
american_scientific_journal-3632	280	9	squares	square	NOUN
american_scientific_journal-3632	280	10	which	which	PRON
american_scientific_journal-3632	280	11	measures	measure	VERB
american_scientific_journal-3632	280	12	the	the	DET
american_scientific_journal-3632	280	13	difference	difference	NOUN
american_scientific_journal-3632	280	14	between	between	ADP
american_scientific_journal-3632	280	15	the	the	DET
american_scientific_journal-3632	280	16	simulated	simulated	ADJ
american_scientific_journal-3632	280	17	values	value	NOUN
american_scientific_journal-3632	280	18	(	(	PUNCT
american_scientific_journal-3632	280	19	x	x	X
american_scientific_journal-3632	280	20	and	and	CCONJ
american_scientific_journal-3632	280	21	y	y	PROPN
american_scientific_journal-3632	280	22	)	)	PUNCT
american_scientific_journal-3632	280	23	and	and	CCONJ
american_scientific_journal-3632	280	24	the	the	DET
american_scientific_journal-3632	280	25	experimental	experimental	ADJ
american_scientific_journal-3632	280	26	data	datum	NOUN
american_scientific_journal-3632	280	27	.	.	PUNCT
american_scientific_journal-3632	281	1	we	we	PRON
american_scientific_journal-3632	281	2	shall	shall	AUX
american_scientific_journal-3632	281	3	find	find	VERB
american_scientific_journal-3632	281	4	the	the	DET
american_scientific_journal-3632	281	5	minimum	minimum	ADJ
american_scientific_journal-3632	281	6	error	error	NOUN
american_scientific_journal-3632	281	7	starting	start	VERB
american_scientific_journal-3632	281	8	from	from	ADP
american_scientific_journal-3632	281	9	an	an	DET
american_scientific_journal-3632	281	10	initial	initial	ADJ
american_scientific_journal-3632	281	11	state	state	NOUN
american_scientific_journal-3632	281	12	.	.	PUNCT
american_scientific_journal-3632	282	1	this	this	DET
american_scientific_journal-3632	282	2	practical	practical	ADJ
american_scientific_journal-3632	282	3	study	study	NOUN
american_scientific_journal-3632	282	4	was	be	AUX
american_scientific_journal-3632	282	5	carried	carry	VERB
american_scientific_journal-3632	282	6	out	out	ADP
american_scientific_journal-3632	282	7	on	on	ADP
american_scientific_journal-3632	282	8	matlab	matlab	PROPN
american_scientific_journal-3632	282	9	where	where	SCONJ
american_scientific_journal-3632	282	10	the	the	DET
american_scientific_journal-3632	282	11	fminsearch	fminsearch	NOUN
american_scientific_journal-3632	282	12	algorithm	algorithm	NOUN
american_scientific_journal-3632	282	13	was	be	AUX
american_scientific_journal-3632	282	14	performed	perform	VERB
american_scientific_journal-3632	282	15	with	with	ADP
american_scientific_journal-3632	282	16	random	random	ADJ
american_scientific_journal-3632	282	17	initial	initial	ADJ
american_scientific_journal-3632	282	18	values	value	NOUN
american_scientific_journal-3632	282	19	in	in	ADP
american_scientific_journal-3632	282	20	order	order	NOUN
american_scientific_journal-3632	282	21	to	to	PART
american_scientific_journal-3632	282	22	ensure	ensure	VERB
american_scientific_journal-3632	282	23	the	the	DET
american_scientific_journal-3632	282	24	convergence	convergence	NOUN
american_scientific_journal-3632	282	25	of	of	ADP
american_scientific_journal-3632	282	26	the	the	DET
american_scientific_journal-3632	282	27	algorithm	algorithm	NOUN
american_scientific_journal-3632	282	28	towards	towards	ADP
american_scientific_journal-3632	282	29	a	a	DET
american_scientific_journal-3632	282	30	global	global	ADJ
american_scientific_journal-3632	282	31	minimum	minimum	NOUN
american_scientific_journal-3632	282	32	rather	rather	ADV
american_scientific_journal-3632	282	33	than	than	ADP
american_scientific_journal-3632	282	34	being	be	AUX
american_scientific_journal-3632	282	35	restricted	restrict	VERB
american_scientific_journal-3632	282	36	by	by	ADP
american_scientific_journal-3632	282	37	a	a	DET
american_scientific_journal-3632	282	38	local	local	ADJ
american_scientific_journal-3632	282	39	minimum	minimum	NOUN
american_scientific_journal-3632	282	40	.	.	PUNCT
american_scientific_journal-3632	283	1	table	table	NOUN
american_scientific_journal-3632	283	2	2	2	NUM
american_scientific_journal-3632	283	3	below	below	ADV
american_scientific_journal-3632	283	4	describes	describe	VERB
american_scientific_journal-3632	283	5	the	the	DET
american_scientific_journal-3632	283	6	estimated	estimate	VERB
american_scientific_journal-3632	283	7	values	value	NOUN
american_scientific_journal-3632	283	8	of	of	ADP
american_scientific_journal-3632	283	9	the	the	DET
american_scientific_journal-3632	283	10	model	model	NOUN
american_scientific_journal-3632	283	11	parameters	parameter	NOUN
american_scientific_journal-3632	283	12	.	.	PUNCT
american_scientific_journal-3632	284	1	table	table	NOUN
american_scientific_journal-3632	284	2	2	2	NUM
american_scientific_journal-3632	284	3	:	:	PUNCT
american_scientific_journal-3632	284	4	the	the	DET
american_scientific_journal-3632	284	5	parameters	parameter	NOUN
american_scientific_journal-3632	284	6	estimated	estimate	VERB
american_scientific_journal-3632	284	7	values	value	NOUN
american_scientific_journal-3632	284	8	parameter	parameter	VERB
american_scientific_journal-3632	284	9	estimated	estimate	VERB
american_scientific_journal-3632	284	10	value	value	NOUN
american_scientific_journal-3632	284	11	p(l)=	p(l)=	NOUN
american_scientific_journal-3632	284	12			NOUN
american_scientific_journal-3632	284	13	0.9152	0.9152	NUM
american_scientific_journal-3632	284	14	p(2)=	p(2)=	NOUN
american_scientific_journal-3632	284	15	θ	θ	NOUN
american_scientific_journal-3632	284	16	-3.2302	-3.2302	X
american_scientific_journal-3632	284	17	p(3)=	p(3)=	NOUN
american_scientific_journal-3632	284	18			NUM
american_scientific_journal-3632	284	19	1.8632	1.8632	NUM
american_scientific_journal-3632	284	20	p(4	p(4	NOUN
american_scientific_journal-3632	284	21	)	)	PUNCT
american_scientific_journal-3632	284	22	=	=	SYM
american_scientific_journal-3632	284	23			NOUN
american_scientific_journal-3632	284	24	’	'	PUNCT
american_scientific_journal-3632	284	25	0.8668	0.8668	NUM
american_scientific_journal-3632	284	26	p(5	p(5	NOUN
american_scientific_journal-3632	284	27	)	)	PUNCT
american_scientific_journal-3632	284	28	=	=	PUNCT
american_scientific_journal-3632	285	1			NUM
american_scientific_journal-3632	285	2	0.7247	0.7247	NUM
american_scientific_journal-3632	285	3	american	american	ADJ
american_scientific_journal-3632	285	4	scientific	scientific	ADJ
american_scientific_journal-3632	285	5	research	research	NOUN
american_scientific_journal-3632	285	6	journal	journal	NOUN
american_scientific_journal-3632	285	7	for	for	ADP
american_scientific_journal-3632	285	8	engineering	engineering	NOUN
american_scientific_journal-3632	285	9	,	,	PUNCT
american_scientific_journal-3632	285	10	technology	technology	NOUN
american_scientific_journal-3632	285	11	,	,	PUNCT
american_scientific_journal-3632	285	12	and	and	CCONJ
american_scientific_journal-3632	285	13	sciences	science	NOUN
american_scientific_journal-3632	285	14	(	(	PUNCT
american_scientific_journal-3632	285	15	asrjets	asrjet	NOUN
american_scientific_journal-3632	285	16	)	)	PUNCT
american_scientific_journal-3632	285	17	(	(	PUNCT
american_scientific_journal-3632	285	18	2018	2018	NUM
american_scientific_journal-3632	285	19	)	)	PUNCT
american_scientific_journal-3632	285	20	volume	volume	NOUN
american_scientific_journal-3632	285	21	39	39	NUM
american_scientific_journal-3632	285	22	,	,	PUNCT
american_scientific_journal-3632	285	23	no	no	DET
american_scientific_journal-3632	285	24	1	1	NUM
american_scientific_journal-3632	285	25	,	,	PUNCT
american_scientific_journal-3632	285	26	pp	pp	ADJ
american_scientific_journal-3632	285	27	138	138	NUM
american_scientific_journal-3632	285	28	-	-	SYM
american_scientific_journal-3632	285	29	158	158	NUM
american_scientific_journal-3632	285	30	151	151	NUM
american_scientific_journal-3632	285	31	application	application	NOUN
american_scientific_journal-3632	285	32	of	of	ADP
american_scientific_journal-3632	285	33	matlab	matlab	PROPN
american_scientific_journal-3632	285	34	(	(	PUNCT
american_scientific_journal-3632	285	35	fminsearch	fminsearch	NOUN
american_scientific_journal-3632	285	36	and	and	CCONJ
american_scientific_journal-3632	285	37	ode	ode	ADJ
american_scientific_journal-3632	285	38	45	45	NUM
american_scientific_journal-3632	285	39	)	)	PUNCT
american_scientific_journal-3632	285	40	produced	produce	VERB
american_scientific_journal-3632	285	41	an	an	DET
american_scientific_journal-3632	285	42	s2	s2	NOUN
american_scientific_journal-3632	285	43	system	system	NOUN
american_scientific_journal-3632	285	44	with	with	ADP
american_scientific_journal-3632	285	45	the	the	DET
american_scientific_journal-3632	285	46	following	follow	VERB
american_scientific_journal-3632	285	47	estimated	estimate	VERB
american_scientific_journal-3632	285	48	values	value	NOUN
american_scientific_journal-3632	285	49	:	:	PUNCT
american_scientific_journal-3632	285	50			NOUN
american_scientific_journal-3632	285	51			SYM
american_scientific_journal-3632	285	52			NOUN
american_scientific_journal-3632	285	53			SYM
american_scientific_journal-3632	285	54			NOUN
american_scientific_journal-3632	285	55			SYM
american_scientific_journal-3632	285	56			NOUN
american_scientific_journal-3632	285	57			PUNCT
american_scientific_journal-3632	285	58			NOUN
american_scientific_journal-3632	286	1			NOUN
american_scientific_journal-3632	287	1			PUNCT
american_scientific_journal-3632	287	2			NOUN
american_scientific_journal-3632	287	3			SYM
american_scientific_journal-3632	287	4			NOUN
american_scientific_journal-3632	287	5			SYM
american_scientific_journal-3632	287	6			NOUN
american_scientific_journal-3632	287	7			PUNCT
american_scientific_journal-3632	287	8	  	  	SPACE
american_scientific_journal-3632	287	9	=	=	PUNCT
american_scientific_journal-3632	287	10	x	x	SYM
american_scientific_journal-3632	287	11	t	t	NOUN
american_scientific_journal-3632	287	12	-3.2302	-3.2302	NOUN
american_scientific_journal-3632	287	13	x	x	X
american_scientific_journal-3632	287	14	t	t	PROPN
american_scientific_journal-3632	287	15	+	+	CCONJ
american_scientific_journal-3632	287	16	0.9152	0.9152	NUM
american_scientific_journal-3632	287	17	y	y	PROPN
american_scientific_journal-3632	287	18	t	t	PROPN
american_scientific_journal-3632	287	19	+	+	CCONJ
american_scientific_journal-3632	287	20	1.8632	1.8632	NUM
american_scientific_journal-3632	287	21	n	n	NOUN
american_scientific_journal-3632	287	22	t	t	NOUN
american_scientific_journal-3632	287	23	=	=	SYM
american_scientific_journal-3632	287	24	0.8668	0.8668	NUM
american_scientific_journal-3632	287	25	y	y	NOUN
american_scientific_journal-3632	287	26	t	t	NOUN
american_scientific_journal-3632	287	27	0.7246	0.7246	NUM
american_scientific_journal-3632	287	28	x	x	SYM
american_scientific_journal-3632	287	29	t	t	X
american_scientific_journal-3632	287	30	–	–	PUNCT
american_scientific_journal-3632	287	31	y	y	PROPN
american_scientific_journal-3632	287	32	t	t	PROPN
american_scientific_journal-3632	287	33	+	+	CCONJ
american_scientific_journal-3632	287	34	n	n	CCONJ
american_scientific_journal-3632	287	35	t	t	NOUN
american_scientific_journal-3632	287	36	x	x	SYM
american_scientific_journal-3632	287	37	s	s	VERB
american_scientific_journal-3632	287	38	2	2	NUM
american_scientific_journal-3632	287	39	y	y	NOUN
american_scientific_journal-3632	287	40			ADP
american_scientific_journal-3632	287	41			PROPN
american_scientific_journal-3632	287	42			NOUN
american_scientific_journal-3632	287	43			VERB
american_scientific_journal-3632	287	44			PROPN
american_scientific_journal-3632	287	45			NUM
american_scientific_journal-3632	287	46			PROPN
american_scientific_journal-3632	287	47			NOUN
american_scientific_journal-3632	287	48			VERB
american_scientific_journal-3632	287	49			NOUN
american_scientific_journal-3632	287	50	the	the	DET
american_scientific_journal-3632	287	51	estimated	estimate	VERB
american_scientific_journal-3632	287	52	parameters	parameter	NOUN
american_scientific_journal-3632	287	53	of	of	ADP
american_scientific_journal-3632	287	54	the	the	DET
american_scientific_journal-3632	287	55	s2	s2	NOUN
american_scientific_journal-3632	287	56	system	system	NOUN
american_scientific_journal-3632	287	57	illustrate	illustrate	VERB
american_scientific_journal-3632	287	58	significant	significant	ADJ
american_scientific_journal-3632	287	59	information	information	NOUN
american_scientific_journal-3632	287	60	regarding	regard	VERB
american_scientific_journal-3632	287	61	the	the	DET
american_scientific_journal-3632	287	62	dynamics	dynamic	NOUN
american_scientific_journal-3632	287	63	of	of	ADP
american_scientific_journal-3632	287	64	the	the	DET
american_scientific_journal-3632	287	65	described	describe	VERB
american_scientific_journal-3632	287	66	process	process	NOUN
american_scientific_journal-3632	287	67	.	.	PUNCT
american_scientific_journal-3632	288	1	in	in	ADP
american_scientific_journal-3632	288	2	fact	fact	NOUN
american_scientific_journal-3632	288	3	,	,	PUNCT
american_scientific_journal-3632	288	4	we	we	PRON
american_scientific_journal-3632	288	5	found	find	VERB
american_scientific_journal-3632	288	6	that	that	SCONJ
american_scientific_journal-3632	288	7	the	the	DET
american_scientific_journal-3632	288	8	coefficients	coefficient	NOUN
american_scientific_journal-3632	288	9			X
american_scientific_journal-3632	288	10	and	and	CCONJ
american_scientific_journal-3632	288	11			NOUN
american_scientific_journal-3632	288	12	’	'	PUNCT
american_scientific_journal-3632	288	13	are	be	AUX
american_scientific_journal-3632	288	14	of	of	ADP
american_scientific_journal-3632	288	15	the	the	DET
american_scientific_journal-3632	288	16	same	same	ADJ
american_scientific_journal-3632	288	17	sign17	sign17	NOUN
american_scientific_journal-3632	288	18	,	,	PUNCT
american_scientific_journal-3632	288	19	which	which	PRON
american_scientific_journal-3632	288	20	indicates	indicate	VERB
american_scientific_journal-3632	288	21	that	that	SCONJ
american_scientific_journal-3632	288	22	the	the	DET
american_scientific_journal-3632	288	23	results	result	NOUN
american_scientific_journal-3632	288	24	of	of	ADP
american_scientific_journal-3632	288	25	the	the	DET
american_scientific_journal-3632	288	26	modified	modify	VERB
american_scientific_journal-3632	288	27	lotka	lotka	PROPN
american_scientific_journal-3632	288	28	volterra	volterra	PROPN
american_scientific_journal-3632	288	29	(	(	PUNCT
american_scientific_journal-3632	288	30	s2	s2	PROPN
american_scientific_journal-3632	288	31	)	)	PUNCT
american_scientific_journal-3632	288	32	simulation	simulation	NOUN
american_scientific_journal-3632	288	33	model	model	NOUN
american_scientific_journal-3632	288	34	reveal	reveal	VERB
american_scientific_journal-3632	288	35	the	the	DET
american_scientific_journal-3632	288	36	nature	nature	NOUN
american_scientific_journal-3632	288	37	of	of	ADP
american_scientific_journal-3632	288	38	interaction	interaction	NOUN
american_scientific_journal-3632	288	39	between	between	ADP
american_scientific_journal-3632	288	40	the	the	DET
american_scientific_journal-3632	288	41	growth	growth	NOUN
american_scientific_journal-3632	288	42	rate	rate	NOUN
american_scientific_journal-3632	288	43	of	of	ADP
american_scientific_journal-3632	288	44	capital	capital	NOUN
american_scientific_journal-3632	288	45	and	and	CCONJ
american_scientific_journal-3632	288	46	r&d	r&d	NOUN
american_scientific_journal-3632	288	47	investment	investment	NOUN
american_scientific_journal-3632	288	48	in	in	ADP
american_scientific_journal-3632	288	49	showing	show	VERB
american_scientific_journal-3632	288	50	a	a	DET
american_scientific_journal-3632	288	51	“	"	PUNCT
american_scientific_journal-3632	288	52	mutual	mutual	ADJ
american_scientific_journal-3632	288	53	”	"	PUNCT
american_scientific_journal-3632	288	54	competitive	competitive	ADJ
american_scientific_journal-3632	288	55	relationship	relationship	NOUN
american_scientific_journal-3632	288	56	according	accord	VERB
american_scientific_journal-3632	288	57	to	to	ADP
american_scientific_journal-3632	288	58	the	the	DET
american_scientific_journal-3632	288	59	classification	classification	NOUN
american_scientific_journal-3632	288	60	presented	present	VERB
american_scientific_journal-3632	288	61	in	in	ADP
american_scientific_journal-3632	288	62	table	table	NOUN
american_scientific_journal-3632	288	63	1	1	NUM
american_scientific_journal-3632	288	64	.	.	PUNCT
american_scientific_journal-3632	289	1	this	this	DET
american_scientific_journal-3632	289	2	type	type	NOUN
american_scientific_journal-3632	289	3	of	of	ADP
american_scientific_journal-3632	289	4	link	link	NOUN
american_scientific_journal-3632	289	5	[	[	X
american_scientific_journal-3632	289	6	20	20	NUM
american_scientific_journal-3632	289	7	,	,	PUNCT
american_scientific_journal-3632	289	8	23	23	NUM
american_scientific_journal-3632	289	9	]	]	PUNCT
american_scientific_journal-3632	289	10	indicates	indicate	VERB
american_scientific_journal-3632	289	11	that	that	SCONJ
american_scientific_journal-3632	289	12	the	the	DET
american_scientific_journal-3632	289	13	r&d	r&d	NOUN
american_scientific_journal-3632	289	14	investment	investment	NOUN
american_scientific_journal-3632	289	15	growth	growth	NOUN
american_scientific_journal-3632	289	16	rate	rate	NOUN
american_scientific_journal-3632	289	17	exerts	exert	VERB
american_scientific_journal-3632	289	18	a	a	DET
american_scientific_journal-3632	289	19	positive	positive	ADJ
american_scientific_journal-3632	289	20	influence	influence	NOUN
american_scientific_journal-3632	289	21	on	on	ADP
american_scientific_journal-3632	289	22	the	the	DET
american_scientific_journal-3632	289	23	evolution	evolution	NOUN
american_scientific_journal-3632	289	24	of	of	ADP
american_scientific_journal-3632	289	25	the	the	DET
american_scientific_journal-3632	289	26	capital	capital	NOUN
american_scientific_journal-3632	289	27	investment	investment	NOUN
american_scientific_journal-3632	289	28	growth	growth	NOUN
american_scientific_journal-3632	289	29	rate	rate	NOUN
american_scientific_journal-3632	289	30	and	and	CCONJ
american_scientific_journal-3632	289	31	that	that	SCONJ
american_scientific_journal-3632	289	32	the	the	DET
american_scientific_journal-3632	289	33	latter	latter	NOUN
american_scientific_journal-3632	289	34	also	also	ADV
american_scientific_journal-3632	289	35	exerts	exert	VERB
american_scientific_journal-3632	289	36	a	a	DET
american_scientific_journal-3632	289	37	positive	positive	ADJ
american_scientific_journal-3632	289	38	influence	influence	NOUN
american_scientific_journal-3632	289	39	on	on	ADP
american_scientific_journal-3632	289	40	the	the	DET
american_scientific_journal-3632	289	41	evolution	evolution	NOUN
american_scientific_journal-3632	289	42	of	of	ADP
american_scientific_journal-3632	289	43	the	the	DET
american_scientific_journal-3632	289	44	r&d	r&d	NOUN
american_scientific_journal-3632	289	45	investment	investment	NOUN
american_scientific_journal-3632	289	46	growth	growth	NOUN
american_scientific_journal-3632	289	47	rate	rate	NOUN
american_scientific_journal-3632	289	48	.	.	PUNCT
american_scientific_journal-3632	290	1	this	this	DET
american_scientific_journal-3632	290	2	type	type	NOUN
american_scientific_journal-3632	290	3	of	of	ADP
american_scientific_journal-3632	290	4	interaction	interaction	NOUN
american_scientific_journal-3632	290	5	is	be	AUX
american_scientific_journal-3632	290	6	thus	thus	ADV
american_scientific_journal-3632	290	7	a	a	DET
american_scientific_journal-3632	290	8	kind	kind	NOUN
american_scientific_journal-3632	290	9	of	of	ADP
american_scientific_journal-3632	290	10	intimate	intimate	ADJ
american_scientific_journal-3632	290	11	association	association	NOUN
american_scientific_journal-3632	290	12	with	with	ADP
american_scientific_journal-3632	290	13	a	a	DET
american_scientific_journal-3632	290	14	reciprocal	reciprocal	ADJ
american_scientific_journal-3632	290	15	benefit	benefit	NOUN
american_scientific_journal-3632	290	16	.	.	PUNCT
american_scientific_journal-3632	291	1	the	the	DET
american_scientific_journal-3632	291	2	capital	capital	NOUN
american_scientific_journal-3632	291	3	investment	investment	NOUN
american_scientific_journal-3632	291	4	growth	growth	NOUN
american_scientific_journal-3632	291	5	rate	rate	NOUN
american_scientific_journal-3632	291	6	can	can	AUX
american_scientific_journal-3632	291	7	thus	thus	ADV
american_scientific_journal-3632	291	8	be	be	AUX
american_scientific_journal-3632	291	9	described	describe	VERB
american_scientific_journal-3632	291	10	as	as	ADP
american_scientific_journal-3632	291	11	a	a	DET
american_scientific_journal-3632	291	12	“	"	PUNCT
american_scientific_journal-3632	291	13	bodyguard	bodyguard	NOUN
american_scientific_journal-3632	291	14	”	"	PUNCT
american_scientific_journal-3632	291	15	of	of	ADP
american_scientific_journal-3632	291	16	the	the	PRON
american_scientific_journal-3632	291	17	of	of	ADP
american_scientific_journal-3632	291	18	r&d	r&d	NOUN
american_scientific_journal-3632	291	19	investment	investment	NOUN
american_scientific_journal-3632	291	20	growth	growth	NOUN
american_scientific_journal-3632	291	21	rate	rate	NOUN
american_scientific_journal-3632	291	22	.	.	PUNCT
american_scientific_journal-3632	292	1	the	the	DET
american_scientific_journal-3632	292	2	two	two	NUM
american_scientific_journal-3632	292	3	variables	variable	NOUN
american_scientific_journal-3632	292	4	therefore	therefore	ADV
american_scientific_journal-3632	292	5	describe	describe	VERB
american_scientific_journal-3632	292	6	a	a	DET
american_scientific_journal-3632	292	7	cyclical	cyclical	ADJ
american_scientific_journal-3632	292	8	link	link	NOUN
american_scientific_journal-3632	292	9	that	that	PRON
american_scientific_journal-3632	292	10	is	be	AUX
american_scientific_journal-3632	292	11	win	win	NOUN
american_scientific_journal-3632	292	12	-	-	PUNCT
american_scientific_journal-3632	292	13	win	win	NOUN
american_scientific_journal-3632	292	14	for	for	ADP
american_scientific_journal-3632	292	15	both	both	DET
american_scientific_journal-3632	292	16	parties	party	NOUN
american_scientific_journal-3632	292	17	.	.	PUNCT
american_scientific_journal-3632	293	1	in	in	ADP
american_scientific_journal-3632	293	2	addition	addition	NOUN
american_scientific_journal-3632	293	3	,	,	PUNCT
american_scientific_journal-3632	293	4	the	the	DET
american_scientific_journal-3632	293	5	relative	relative	ADJ
american_scientific_journal-3632	293	6	curves	curve	NOUN
american_scientific_journal-3632	293	7	for	for	ADP
american_scientific_journal-3632	293	8	the	the	DET
american_scientific_journal-3632	293	9	growth	growth	NOUN
american_scientific_journal-3632	293	10	rates	rate	NOUN
american_scientific_journal-3632	293	11	of	of	ADP
american_scientific_journal-3632	293	12	investments	investment	NOUN
american_scientific_journal-3632	293	13	in	in	ADP
american_scientific_journal-3632	293	14	r&d	r&d	NOUN
american_scientific_journal-3632	293	15	and	and	CCONJ
american_scientific_journal-3632	293	16	capital	capital	NOUN
american_scientific_journal-3632	293	17	,	,	PUNCT
american_scientific_journal-3632	293	18	which	which	PRON
american_scientific_journal-3632	293	19	are	be	AUX
american_scientific_journal-3632	293	20	based	base	VERB
american_scientific_journal-3632	293	21	on	on	ADP
american_scientific_journal-3632	293	22	the	the	DET
american_scientific_journal-3632	293	23	estimated	estimate	VERB
american_scientific_journal-3632	293	24	functions	function	NOUN
american_scientific_journal-3632	293	25	of	of	ADP
american_scientific_journal-3632	293	26	x	x	PUNCT
american_scientific_journal-3632	293	27	and	and	CCONJ
american_scientific_journal-3632	293	28	y	y	PROPN
american_scientific_journal-3632	293	29	are	be	AUX
american_scientific_journal-3632	293	30	illustrated	illustrate	VERB
american_scientific_journal-3632	293	31	in	in	ADP
american_scientific_journal-3632	293	32	figure	figure	NOUN
american_scientific_journal-3632	293	33	1	1	NUM
american_scientific_journal-3632	293	34	below	below	ADV
american_scientific_journal-3632	293	35	.	.	PUNCT
american_scientific_journal-3632	294	1	these	these	DET
american_scientific_journal-3632	294	2	curves	curve	NOUN
american_scientific_journal-3632	294	3	follow	follow	VERB
american_scientific_journal-3632	294	4	approximately	approximately	ADV
american_scientific_journal-3632	294	5	the	the	DET
american_scientific_journal-3632	294	6	same	same	ADJ
american_scientific_journal-3632	294	7	trajectory	trajectory	NOUN
american_scientific_journal-3632	294	8	as	as	ADP
american_scientific_journal-3632	294	9	the	the	DET
american_scientific_journal-3632	294	10	real	real	ADJ
american_scientific_journal-3632	294	11	data	datum	NOUN
american_scientific_journal-3632	294	12	.	.	PUNCT
american_scientific_journal-3632	295	1	this	this	PRON
american_scientific_journal-3632	295	2	signifies	signify	VERB
american_scientific_journal-3632	295	3	that	that	SCONJ
american_scientific_journal-3632	295	4	the	the	DET
american_scientific_journal-3632	295	5	s2	s2	NOUN
american_scientific_journal-3632	295	6	system	system	NOUN
american_scientific_journal-3632	295	7	perfectly	perfectly	ADV
american_scientific_journal-3632	295	8	explains	explain	VERB
american_scientific_journal-3632	295	9	the	the	DET
american_scientific_journal-3632	295	10	evolution	evolution	NOUN
american_scientific_journal-3632	295	11	of	of	ADP
american_scientific_journal-3632	295	12	the	the	DET
american_scientific_journal-3632	295	13	growth	growth	NOUN
american_scientific_journal-3632	295	14	rates	rate	NOUN
american_scientific_journal-3632	295	15	of	of	ADP
american_scientific_journal-3632	295	16	the	the	DET
american_scientific_journal-3632	295	17	investment	investment	NOUN
american_scientific_journal-3632	295	18	in	in	ADP
american_scientific_journal-3632	295	19	capital	capital	NOUN
american_scientific_journal-3632	295	20	and	and	CCONJ
american_scientific_journal-3632	295	21	r&d	r&d	NOUN
american_scientific_journal-3632	295	22	at	at	ADP
american_scientific_journal-3632	295	23	canon	canon	NOUN
american_scientific_journal-3632	295	24	industry	industry	NOUN
american_scientific_journal-3632	295	25	.	.	PUNCT
american_scientific_journal-3632	296	1	4.3	4.3	NUM
american_scientific_journal-3632	296	2	analysis	analysis	NOUN
american_scientific_journal-3632	296	3	of	of	ADP
american_scientific_journal-3632	296	4	the	the	DET
american_scientific_journal-3632	296	5	"	"	PUNCT
american_scientific_journal-3632	296	6	technological	technological	ADJ
american_scientific_journal-3632	296	7	progress	progress	NOUN
american_scientific_journal-3632	296	8	-	-	PUNCT
american_scientific_journal-3632	296	9	capital	capital	NOUN
american_scientific_journal-3632	296	10	accumulation	accumulation	NOUN
american_scientific_journal-3632	296	11	"	"	PUNCT
american_scientific_journal-3632	296	12	relationship	relationship	NOUN
american_scientific_journal-3632	296	13	as	as	ADP
american_scientific_journal-3632	296	14	illustrated	illustrate	VERB
american_scientific_journal-3632	296	15	above	above	ADV
american_scientific_journal-3632	296	16	,	,	PUNCT
american_scientific_journal-3632	296	17	there	there	PRON
american_scientific_journal-3632	296	18	are	be	VERB
american_scientific_journal-3632	296	19	many	many	ADJ
american_scientific_journal-3632	296	20	kinds	kind	NOUN
american_scientific_journal-3632	296	21	of	of	ADP
american_scientific_journal-3632	296	22	relationships	relationship	NOUN
american_scientific_journal-3632	296	23	between	between	ADP
american_scientific_journal-3632	296	24	capital	capital	NOUN
american_scientific_journal-3632	296	25	accumulation	accumulation	NOUN
american_scientific_journal-3632	296	26	and	and	CCONJ
american_scientific_journal-3632	296	27	technological	technological	ADJ
american_scientific_journal-3632	296	28	progress	progress	NOUN
american_scientific_journal-3632	296	29	and	and	CCONJ
american_scientific_journal-3632	296	30	are	be	AUX
american_scientific_journal-3632	296	31	classified	classify	VERB
american_scientific_journal-3632	296	32	according	accord	VERB
american_scientific_journal-3632	296	33	to	to	ADP
american_scientific_journal-3632	296	34	the	the	DET
american_scientific_journal-3632	296	35	sign	sign	NOUN
american_scientific_journal-3632	296	36	of	of	ADP
american_scientific_journal-3632	296	37	the	the	DET
american_scientific_journal-3632	296	38	parameters	parameter	NOUN
american_scientific_journal-3632	296	39			X
american_scientific_journal-3632	296	40	and	and	CCONJ
american_scientific_journal-3632	296	41			NOUN
american_scientific_journal-3632	296	42	'	'	PART
american_scientific_journal-3632	296	43	.	.	PUNCT
american_scientific_journal-3632	297	1	based	base	VERB
american_scientific_journal-3632	297	2	on	on	ADP
american_scientific_journal-3632	297	3	the	the	DET
american_scientific_journal-3632	297	4	results	result	NOUN
american_scientific_journal-3632	297	5	of	of	ADP
american_scientific_journal-3632	297	6	the	the	DET
american_scientific_journal-3632	297	7	estimated	estimate	VERB
american_scientific_journal-3632	297	8	values	value	NOUN
american_scientific_journal-3632	297	9	presented	present	VERB
american_scientific_journal-3632	297	10	in	in	ADP
american_scientific_journal-3632	297	11	table	table	NOUN
american_scientific_journal-3632	297	12	2	2	NUM
american_scientific_journal-3632	297	13	,	,	PUNCT
american_scientific_journal-3632	297	14	we	we	PRON
american_scientific_journal-3632	297	15	find	find	VERB
american_scientific_journal-3632	297	16	that	that	SCONJ
american_scientific_journal-3632	297	17	the	the	DET
american_scientific_journal-3632	297	18	coefficients	coefficient	NOUN
american_scientific_journal-3632	297	19			X
american_scientific_journal-3632	297	20	and	and	CCONJ
american_scientific_journal-3632	297	21			NOUN
american_scientific_journal-3632	297	22	'	'	PART
american_scientific_journal-3632	297	23	are	be	AUX
american_scientific_journal-3632	297	24	positive	positive	ADJ
american_scientific_journal-3632	297	25	,	,	PUNCT
american_scientific_journal-3632	297	26	indicating	indicate	VERB
american_scientific_journal-3632	297	27	thus	thus	ADV
american_scientific_journal-3632	297	28	a	a	DET
american_scientific_journal-3632	297	29	"	"	PUNCT
american_scientific_journal-3632	297	30	mutual	mutual	ADJ
american_scientific_journal-3632	297	31	"	"	PUNCT
american_scientific_journal-3632	297	32	relationship	relationship	NOUN
american_scientific_journal-3632	297	33	between	between	ADP
american_scientific_journal-3632	297	34	the	the	DET
american_scientific_journal-3632	297	35	growth	growth	NOUN
american_scientific_journal-3632	297	36	rate	rate	NOUN
american_scientific_journal-3632	297	37	of	of	ADP
american_scientific_journal-3632	297	38	the	the	DET
american_scientific_journal-3632	297	39	investment	investment	NOUN
american_scientific_journal-3632	297	40	in	in	ADP
american_scientific_journal-3632	297	41	capital	capital	NOUN
american_scientific_journal-3632	297	42	and	and	CCONJ
american_scientific_journal-3632	297	43	in	in	ADP
american_scientific_journal-3632	297	44	r&d	r&d	NOUN
american_scientific_journal-3632	297	45	.	.	PUNCT
american_scientific_journal-3632	298	1	however	however	ADV
american_scientific_journal-3632	298	2	,	,	PUNCT
american_scientific_journal-3632	298	3	figures	figure	NOUN
american_scientific_journal-3632	298	4	2	2	NUM
american_scientific_journal-3632	298	5	and	and	CCONJ
american_scientific_journal-3632	298	6	3	3	NUM
american_scientific_journal-3632	298	7	show	show	VERB
american_scientific_journal-3632	298	8	that	that	SCONJ
american_scientific_journal-3632	298	9	at	at	ADP
american_scientific_journal-3632	298	10	the	the	DET
american_scientific_journal-3632	298	11	start	start	NOUN
american_scientific_journal-3632	298	12	of	of	ADP
american_scientific_journal-3632	298	13	the	the	DET
american_scientific_journal-3632	298	14	study	study	NOUN
american_scientific_journal-3632	298	15	period	period	NOUN
american_scientific_journal-3632	298	16	,	,	PUNCT
american_scientific_journal-3632	298	17	the	the	DET
american_scientific_journal-3632	298	18	growth	growth	NOUN
american_scientific_journal-3632	298	19	rate	rate	NOUN
american_scientific_journal-3632	298	20	of	of	ADP
american_scientific_journal-3632	298	21	the	the	DET
american_scientific_journal-3632	298	22	capital	capital	NOUN
american_scientific_journal-3632	298	23	and	and	CCONJ
american_scientific_journal-3632	298	24	r&d	r&d	NOUN
american_scientific_journal-3632	298	25	investment	investment	NOUN
american_scientific_journal-3632	298	26	interact	interact	VERB
american_scientific_journal-3632	298	27	following	follow	VERB
american_scientific_journal-3632	298	28	the	the	DET
american_scientific_journal-3632	298	29	lotka	lotka	PROPN
american_scientific_journal-3632	298	30	volterra	volterra	PROPN
american_scientific_journal-3632	298	31	predator	predator	NOUN
american_scientific_journal-3632	298	32	-	-	PUNCT
american_scientific_journal-3632	298	33	prey	prey	NOUN
american_scientific_journal-3632	298	34	relationship	relationship	NOUN
american_scientific_journal-3632	298	35	.	.	PUNCT
american_scientific_journal-3632	299	1	in	in	ADP
american_scientific_journal-3632	299	2	fact	fact	NOUN
american_scientific_journal-3632	299	3	,	,	PUNCT
american_scientific_journal-3632	299	4	when	when	SCONJ
american_scientific_journal-3632	299	5	the	the	DET
american_scientific_journal-3632	299	6	variable	variable	NOUN
american_scientific_journal-3632	299	7	x	x	PUNCT
american_scientific_journal-3632	299	8	tends	tend	VERB
american_scientific_journal-3632	299	9	to	to	PART
american_scientific_journal-3632	299	10	increase	increase	VERB
american_scientific_journal-3632	299	11	,	,	PUNCT
american_scientific_journal-3632	299	12	y	y	PROPN
american_scientific_journal-3632	299	13	tends	tend	VERB
american_scientific_journal-3632	299	14	to	to	PART
american_scientific_journal-3632	299	15	decrease	decrease	VERB
american_scientific_journal-3632	299	16	and	and	CCONJ
american_scientific_journal-3632	299	17	vice	vice	ADV
american_scientific_journal-3632	299	18	versa	versa	ADV
american_scientific_journal-3632	299	19	.	.	PUNCT
american_scientific_journal-3632	300	1	this	this	DET
american_scientific_journal-3632	300	2	phenomenon	phenomenon	NOUN
american_scientific_journal-3632	300	3	can	can	AUX
american_scientific_journal-3632	300	4	be	be	AUX
american_scientific_journal-3632	300	5	explained	explain	VERB
american_scientific_journal-3632	300	6	by	by	ADP
american_scientific_journal-3632	300	7	the	the	DET
american_scientific_journal-3632	300	8	fact	fact	NOUN
american_scientific_journal-3632	300	9	that	that	SCONJ
american_scientific_journal-3632	300	10	the	the	DET
american_scientific_journal-3632	300	11	capital	capital	NOUN
american_scientific_journal-3632	300	12	investment	investment	NOUN
american_scientific_journal-3632	300	13	is	be	AUX
american_scientific_journal-3632	300	14	key	key	ADJ
american_scientific_journal-3632	300	15	to	to	ADP
american_scientific_journal-3632	300	16	the	the	DET
american_scientific_journal-3632	300	17	success	success	NOUN
american_scientific_journal-3632	300	18	of	of	ADP
american_scientific_journal-3632	300	19	innovation	innovation	NOUN
american_scientific_journal-3632	300	20	projects	project	NOUN
american_scientific_journal-3632	300	21	and	and	CCONJ
american_scientific_journal-3632	300	22	its	its	PRON
american_scientific_journal-3632	300	23	growth	growth	NOUN
american_scientific_journal-3632	300	24	ensures	ensure	VERB
american_scientific_journal-3632	300	25	the	the	DET
american_scientific_journal-3632	300	26	evolution	evolution	NOUN
american_scientific_journal-3632	300	27	of	of	ADP
american_scientific_journal-3632	300	28	r&d	r&d	NOUN
american_scientific_journal-3632	300	29	.	.	PUNCT
american_scientific_journal-3632	301	1	in	in	ADP
american_scientific_journal-3632	301	2	a	a	DET
american_scientific_journal-3632	301	3	sense	sense	NOUN
american_scientific_journal-3632	301	4	,	,	PUNCT
american_scientific_journal-3632	301	5	the	the	DET
american_scientific_journal-3632	301	6	evolution	evolution	NOUN
american_scientific_journal-3632	301	7	of	of	ADP
american_scientific_journal-3632	301	8	capital	capital	NOUN
american_scientific_journal-3632	301	9	ensures	ensure	VERB
american_scientific_journal-3632	301	10	the	the	DET
american_scientific_journal-3632	301	11	survival	survival	NOUN
american_scientific_journal-3632	301	12	of	of	ADP
american_scientific_journal-3632	301	13	innovation	innovation	NOUN
american_scientific_journal-3632	301	14	projects	project	NOUN
american_scientific_journal-3632	301	15	within	within	ADP
american_scientific_journal-3632	301	16	a	a	DET
american_scientific_journal-3632	301	17	firm	firm	NOUN
american_scientific_journal-3632	301	18	which	which	PRON
american_scientific_journal-3632	301	19	explains	explain	VERB
american_scientific_journal-3632	301	20	the	the	DET
american_scientific_journal-3632	301	21	predator	predator	NOUN
american_scientific_journal-3632	301	22	-	-	PUNCT
american_scientific_journal-3632	301	23	prey	prey	NOUN
american_scientific_journal-3632	301	24	relationship	relationship	NOUN
american_scientific_journal-3632	301	25	between	between	ADP
american_scientific_journal-3632	301	26	capital	capital	NOUN
american_scientific_journal-3632	301	27	accumulation	accumulation	NOUN
american_scientific_journal-3632	301	28	and	and	CCONJ
american_scientific_journal-3632	301	29	technological	technological	ADJ
american_scientific_journal-3632	301	30	progress	progress	NOUN
american_scientific_journal-3632	301	31	.	.	PUNCT
american_scientific_journal-3632	302	1	in	in	ADP
american_scientific_journal-3632	302	2	some	some	DET
american_scientific_journal-3632	302	3	ways	way	NOUN
american_scientific_journal-3632	302	4	,	,	PUNCT
american_scientific_journal-3632	302	5	r&d	r&d	NOUN
american_scientific_journal-3632	302	6	investment	investment	NOUN
american_scientific_journal-3632	302	7	acts	act	VERB
american_scientific_journal-3632	302	8	as	as	ADP
american_scientific_journal-3632	302	9	a	a	DET
american_scientific_journal-3632	302	10	sort	sort	NOUN
american_scientific_journal-3632	302	11	of	of	ADP
american_scientific_journal-3632	302	12	predator	predator	NOUN
american_scientific_journal-3632	302	13	whilst	whilst	SCONJ
american_scientific_journal-3632	302	14	capital	capital	NOUN
american_scientific_journal-3632	302	15	investment	investment	NOUN
american_scientific_journal-3632	302	16	(	(	PUNCT
american_scientific_journal-3632	302	17	prey	prey	PROPN
american_scientific_journal-3632	302	18	)	)	PUNCT
american_scientific_journal-3632	302	19	grows	grow	VERB
american_scientific_journal-3632	302	20	exponentially	exponentially	ADV
american_scientific_journal-3632	302	21	under	under	ADP
american_scientific_journal-3632	302	22	the	the	DET
american_scientific_journal-3632	302	23	hypothesis	hypothesis	NOUN
american_scientific_journal-3632	302	24	that	that	PRON
american_scientific_journal-3632	302	25	the	the	DET
american_scientific_journal-3632	302	26	population	population	NOUN
american_scientific_journal-3632	302	27	of	of	ADP
american_scientific_journal-3632	302	28	prey	prey	PROPN
american_scientific_journal-3632	302	29	can	can	AUX
american_scientific_journal-3632	302	30	find	find	VERB
american_scientific_journal-3632	302	31	enough	enough	ADJ
american_scientific_journal-3632	302	32	"	"	PUNCT
american_scientific_journal-3632	302	33	food	food	NOUN
american_scientific_journal-3632	302	34	"	"	PUNCT
american_scientific_journal-3632	302	35	at	at	ADP
american_scientific_journal-3632	302	36	any	any	DET
american_scientific_journal-3632	302	37	time	time	NOUN
american_scientific_journal-3632	302	38	and	and	CCONJ
american_scientific_journal-3632	302	39	starts	start	VERB
american_scientific_journal-3632	302	40	to	to	PART
american_scientific_journal-3632	302	41	decrease	decrease	VERB
american_scientific_journal-3632	302	42	when	when	SCONJ
american_scientific_journal-3632	302	43	a	a	DET
american_scientific_journal-3632	302	44	sufficient	sufficient	ADJ
american_scientific_journal-3632	302	45	number	number	NOUN
american_scientific_journal-3632	302	46	of	of	ADP
american_scientific_journal-3632	302	47	predators	predator	NOUN
american_scientific_journal-3632	302	48	appear	appear	VERB
american_scientific_journal-3632	302	49	.	.	PUNCT
american_scientific_journal-3632	303	1	whereas	whereas	ADV
american_scientific_journal-3632	303	2	,	,	PUNCT
american_scientific_journal-3632	303	3	the	the	DET
american_scientific_journal-3632	303	4	growth	growth	NOUN
american_scientific_journal-3632	303	5	rate	rate	NOUN
american_scientific_journal-3632	303	6	of	of	ADP
american_scientific_journal-3632	303	7	investment	investment	NOUN
american_scientific_journal-3632	303	8	in	in	ADP
american_scientific_journal-3632	303	9	r&d	r&d	NOUN
american_scientific_journal-3632	303	10	(	(	PUNCT
american_scientific_journal-3632	303	11	predator	predator	NOUN
american_scientific_journal-3632	303	12	)	)	PUNCT
american_scientific_journal-3632	303	13	decreases	decrease	NOUN
american_scientific_journal-3632	303	14	in	in	ADP
american_scientific_journal-3632	303	15	an	an	DET
american_scientific_journal-3632	303	16	exponential	exponential	ADJ
american_scientific_journal-3632	303	17	manner	manner	NOUN
american_scientific_journal-3632	303	18	and	and	CCONJ
american_scientific_journal-3632	303	19	grows	grow	VERB
american_scientific_journal-3632	303	20	when	when	SCONJ
american_scientific_journal-3632	303	21	there	there	PRON
american_scientific_journal-3632	303	22	is	be	VERB
american_scientific_journal-3632	303	23	sufficient	sufficient	ADJ
american_scientific_journal-3632	303	24	prey	prey	NOUN
american_scientific_journal-3632	303	25	.	.	PUNCT
american_scientific_journal-3632	304	1	17	17	NUM
american_scientific_journal-3632	304	2			NOUN
american_scientific_journal-3632	304	3	and	and	CCONJ
american_scientific_journal-3632	304	4			NOUN
american_scientific_journal-3632	304	5	’	'	PUNCT
american_scientific_journal-3632	304	6	are	be	AUX
american_scientific_journal-3632	304	7	positive	positive	ADJ
american_scientific_journal-3632	304	8	.	.	PUNCT
american_scientific_journal-3632	305	1	american	american	ADJ
american_scientific_journal-3632	305	2	scientific	scientific	ADJ
american_scientific_journal-3632	305	3	research	research	PROPN
american_scientific_journal-3632	305	4	journal	journal	NOUN
american_scientific_journal-3632	305	5	for	for	ADP
american_scientific_journal-3632	305	6	engineering	engineering	NOUN
american_scientific_journal-3632	305	7	,	,	PUNCT
american_scientific_journal-3632	305	8	technology	technology	NOUN
american_scientific_journal-3632	305	9	,	,	PUNCT
american_scientific_journal-3632	305	10	and	and	CCONJ
american_scientific_journal-3632	305	11	sciences	science	NOUN
american_scientific_journal-3632	305	12	(	(	PUNCT
american_scientific_journal-3632	305	13	asrjets	asrjet	NOUN
american_scientific_journal-3632	305	14	)	)	PUNCT
american_scientific_journal-3632	305	15	(	(	PUNCT
american_scientific_journal-3632	305	16	2018	2018	NUM
american_scientific_journal-3632	305	17	)	)	PUNCT
american_scientific_journal-3632	305	18	volume	volume	NOUN
american_scientific_journal-3632	305	19	39	39	NUM
american_scientific_journal-3632	305	20	,	,	PUNCT
american_scientific_journal-3632	305	21	no	no	DET
american_scientific_journal-3632	305	22	1	1	NUM
american_scientific_journal-3632	305	23	,	,	PUNCT
american_scientific_journal-3632	305	24	pp	pp	ADJ
american_scientific_journal-3632	305	25	138	138	NUM
american_scientific_journal-3632	305	26	-	-	SYM
american_scientific_journal-3632	305	27	158	158	NUM
american_scientific_journal-3632	305	28	152	152	NUM
american_scientific_journal-3632	305	29	as	as	SCONJ
american_scientific_journal-3632	305	30	time	time	NOUN
american_scientific_journal-3632	305	31	passes	pass	VERB
american_scientific_journal-3632	305	32	we	we	PRON
american_scientific_journal-3632	305	33	see	see	VERB
american_scientific_journal-3632	305	34	that	that	SCONJ
american_scientific_journal-3632	305	35	,	,	PUNCT
american_scientific_journal-3632	305	36	as	as	SCONJ
american_scientific_journal-3632	305	37	indicated	indicate	VERB
american_scientific_journal-3632	305	38	in	in	ADP
american_scientific_journal-3632	305	39	figure	figure	NOUN
american_scientific_journal-3632	305	40	2	2	NUM
american_scientific_journal-3632	305	41	,	,	PUNCT
american_scientific_journal-3632	305	42	a	a	DET
american_scientific_journal-3632	305	43	cycle	cycle	NOUN
american_scientific_journal-3632	305	44	of	of	ADP
american_scientific_journal-3632	305	45	increase	increase	NOUN
american_scientific_journal-3632	305	46	and	and	CCONJ
american_scientific_journal-3632	305	47	decrease	decrease	VERB
american_scientific_journal-3632	305	48	repeats	repeat	NOUN
american_scientific_journal-3632	305	49	itself	itself	PRON
american_scientific_journal-3632	305	50	.	.	PUNCT
american_scientific_journal-3632	306	1	in	in	ADP
american_scientific_journal-3632	306	2	reality	reality	NOUN
american_scientific_journal-3632	306	3	,	,	PUNCT
american_scientific_journal-3632	306	4	this	this	PRON
american_scientific_journal-3632	306	5	is	be	AUX
american_scientific_journal-3632	306	6	a	a	DET
american_scientific_journal-3632	306	7	simple	simple	ADJ
american_scientific_journal-3632	306	8	description	description	NOUN
american_scientific_journal-3632	306	9	of	of	ADP
american_scientific_journal-3632	306	10	the	the	DET
american_scientific_journal-3632	306	11	lotka	lotka	PROPN
american_scientific_journal-3632	306	12	volterra	volterra	PROPN
american_scientific_journal-3632	306	13	model	model	NOUN
american_scientific_journal-3632	306	14	which	which	PRON
american_scientific_journal-3632	306	15	is	be	AUX
american_scientific_journal-3632	306	16	essentially	essentially	ADV
american_scientific_journal-3632	306	17	used	use	VERB
american_scientific_journal-3632	306	18	in	in	ADP
american_scientific_journal-3632	306	19	biology18	biology18	NOUN
american_scientific_journal-3632	306	20	then	then	ADV
american_scientific_journal-3632	306	21	after	after	ADP
american_scientific_journal-3632	306	22	a	a	DET
american_scientific_journal-3632	306	23	certain	certain	ADJ
american_scientific_journal-3632	306	24	time19	time19	NOUN
american_scientific_journal-3632	306	25	,	,	PUNCT
american_scientific_journal-3632	306	26	the	the	DET
american_scientific_journal-3632	306	27	two	two	NUM
american_scientific_journal-3632	306	28	variables	variable	NOUN
american_scientific_journal-3632	306	29	witness	witness	VERB
american_scientific_journal-3632	306	30	a	a	DET
american_scientific_journal-3632	306	31	mutation	mutation	NOUN
american_scientific_journal-3632	306	32	towards	towards	ADP
american_scientific_journal-3632	306	33	a	a	DET
american_scientific_journal-3632	306	34	new	new	ADJ
american_scientific_journal-3632	306	35	form	form	NOUN
american_scientific_journal-3632	306	36	of	of	ADP
american_scientific_journal-3632	306	37	relationship20	relationship20	NOUN
american_scientific_journal-3632	306	38	known	know	VERB
american_scientific_journal-3632	306	39	under	under	ADP
american_scientific_journal-3632	306	40	the	the	DET
american_scientific_journal-3632	306	41	name	name	NOUN
american_scientific_journal-3632	306	42	of	of	ADP
american_scientific_journal-3632	306	43	mutualism	mutualism	NOUN
american_scientific_journal-3632	306	44	.	.	PUNCT
american_scientific_journal-3632	307	1	in	in	ADP
american_scientific_journal-3632	307	2	effect	effect	NOUN
american_scientific_journal-3632	307	3	,	,	PUNCT
american_scientific_journal-3632	307	4	this	this	DET
american_scientific_journal-3632	307	5	kind	kind	NOUN
american_scientific_journal-3632	307	6	of	of	ADP
american_scientific_journal-3632	307	7	interaction	interaction	NOUN
american_scientific_journal-3632	307	8	between	between	ADP
american_scientific_journal-3632	307	9	variables	variable	NOUN
american_scientific_journal-3632	307	10	or	or	CCONJ
american_scientific_journal-3632	307	11	species	specie	NOUN
american_scientific_journal-3632	307	12	has	have	AUX
american_scientific_journal-3632	307	13	been	be	AUX
american_scientific_journal-3632	307	14	classified	classify	VERB
american_scientific_journal-3632	307	15	by	by	ADP
american_scientific_journal-3632	307	16	specialists	specialist	NOUN
american_scientific_journal-3632	307	17	according	accord	VERB
american_scientific_journal-3632	307	18	to	to	ADP
american_scientific_journal-3632	307	19	several	several	ADJ
american_scientific_journal-3632	307	20	categories	category	NOUN
american_scientific_journal-3632	307	21	;	;	PUNCT
american_scientific_journal-3632	307	22	symbiosis	symbiosis	NOUN
american_scientific_journal-3632	307	23	,	,	PUNCT
american_scientific_journal-3632	307	24	commensalism	commensalism	NOUN
american_scientific_journal-3632	307	25	,	,	PUNCT
american_scientific_journal-3632	307	26	cooperation	cooperation	NOUN
american_scientific_journal-3632	307	27	,	,	PUNCT
american_scientific_journal-3632	307	28	facilitation	facilitation	NOUN
american_scientific_journal-3632	307	29	,	,	PUNCT
american_scientific_journal-3632	307	30	reciprocal	reciprocal	ADJ
american_scientific_journal-3632	307	31	altruism	altruism	NOUN
american_scientific_journal-3632	307	32	and	and	CCONJ
american_scientific_journal-3632	307	33	mutual	mutual	ADJ
american_scientific_journal-3632	307	34	aid	aid	NOUN
american_scientific_journal-3632	307	35	[	[	X
american_scientific_journal-3632	307	36	24	24	NUM
american_scientific_journal-3632	307	37	]	]	PUNCT
american_scientific_journal-3632	307	38	.	.	PUNCT
american_scientific_journal-3632	308	1	18	18	NUM
american_scientific_journal-3632	309	1	[	[	X
american_scientific_journal-3632	309	2	38	38	NUM
american_scientific_journal-3632	309	3	]	]	SYM
american_scientific_journal-3632	309	4	.	.	PUNCT
american_scientific_journal-3632	310	1	19	19	NUM
american_scientific_journal-3632	310	2	intermediate	intermediate	ADJ
american_scientific_journal-3632	310	3	and	and	CCONJ
american_scientific_journal-3632	310	4	long	long	ADJ
american_scientific_journal-3632	310	5	periods	period	NOUN
american_scientific_journal-3632	310	6	.	.	PUNCT
american_scientific_journal-3632	311	1	20	20	NUM
american_scientific_journal-3632	311	2	a	a	DET
american_scientific_journal-3632	311	3	type	type	NOUN
american_scientific_journal-3632	311	4	of	of	ADP
american_scientific_journal-3632	311	5	mutation	mutation	NOUN
american_scientific_journal-3632	311	6	.	.	PUNCT
american_scientific_journal-3632	312	1	figure	figure	NOUN
american_scientific_journal-3632	312	2	1	1	NUM
american_scientific_journal-3632	312	3	:	:	PUNCT
american_scientific_journal-3632	312	4	real	real	ADJ
american_scientific_journal-3632	312	5	and	and	CCONJ
american_scientific_journal-3632	312	6	simulated	simulated	ADJ
american_scientific_journal-3632	312	7	data	datum	NOUN
american_scientific_journal-3632	312	8	figure	figure	NOUN
american_scientific_journal-3632	312	9	2	2	NUM
american_scientific_journal-3632	312	10	:	:	PUNCT
american_scientific_journal-3632	312	11	r&d	r&d	NOUN
american_scientific_journal-3632	312	12	and	and	CCONJ
american_scientific_journal-3632	312	13	k	k	NOUN
american_scientific_journal-3632	312	14	growth	growth	NOUN
american_scientific_journal-3632	312	15	rates	rate	NOUN
american_scientific_journal-3632	312	16	as	as	ADP
american_scientific_journal-3632	312	17	a	a	DET
american_scientific_journal-3632	312	18	lv	lv	PROPN
american_scientific_journal-3632	312	19	model	model	NOUN
american_scientific_journal-3632	312	20	figure	figure	NOUN
american_scientific_journal-3632	312	21	2	2	NUM
american_scientific_journal-3632	312	22	:	:	PUNCT
american_scientific_journal-3632	312	23	the	the	DET
american_scientific_journal-3632	312	24	evolution	evolution	NOUN
american_scientific_journal-3632	312	25	of	of	ADP
american_scientific_journal-3632	312	26	the	the	DET
american_scientific_journal-3632	312	27	growth	growth	NOUN
american_scientific_journal-3632	312	28	rate	rate	NOUN
american_scientific_journal-3632	312	29	of	of	ADP
american_scientific_journal-3632	312	30	the	the	DET
american_scientific_journal-3632	312	31	investment	investment	NOUN
american_scientific_journal-3632	312	32	on	on	ADP
american_scientific_journal-3632	312	33	capital	capital	NOUN
american_scientific_journal-3632	312	34	and	and	CCONJ
american_scientific_journal-3632	312	35	r&d	r&d	PROPN
american_scientific_journal-3632	312	36	american	american	ADJ
american_scientific_journal-3632	312	37	scientific	scientific	ADJ
american_scientific_journal-3632	312	38	research	research	NOUN
american_scientific_journal-3632	312	39	journal	journal	NOUN
american_scientific_journal-3632	312	40	for	for	ADP
american_scientific_journal-3632	312	41	engineering	engineering	NOUN
american_scientific_journal-3632	312	42	,	,	PUNCT
american_scientific_journal-3632	312	43	technology	technology	NOUN
american_scientific_journal-3632	312	44	,	,	PUNCT
american_scientific_journal-3632	312	45	and	and	CCONJ
american_scientific_journal-3632	312	46	sciences	science	NOUN
american_scientific_journal-3632	312	47	(	(	PUNCT
american_scientific_journal-3632	312	48	asrjets	asrjet	NOUN
american_scientific_journal-3632	312	49	)	)	PUNCT
american_scientific_journal-3632	312	50	(	(	PUNCT
american_scientific_journal-3632	312	51	2018	2018	NUM
american_scientific_journal-3632	312	52	)	)	PUNCT
american_scientific_journal-3632	312	53	volume	volume	NOUN
american_scientific_journal-3632	312	54	39	39	NUM
american_scientific_journal-3632	312	55	,	,	PUNCT
american_scientific_journal-3632	312	56	no	no	DET
american_scientific_journal-3632	312	57	1	1	NUM
american_scientific_journal-3632	312	58	,	,	PUNCT
american_scientific_journal-3632	312	59	pp	pp	ADJ
american_scientific_journal-3632	312	60	138	138	NUM
american_scientific_journal-3632	312	61	-	-	SYM
american_scientific_journal-3632	312	62	158	158	NUM
american_scientific_journal-3632	312	63	153	153	NUM
american_scientific_journal-3632	312	64	this	this	DET
american_scientific_journal-3632	312	65	mutualism	mutualism	NOUN
american_scientific_journal-3632	312	66	has	have	AUX
american_scientific_journal-3632	312	67	also	also	ADV
american_scientific_journal-3632	312	68	been	be	AUX
american_scientific_journal-3632	312	69	proved	prove	VERB
american_scientific_journal-3632	312	70	by	by	ADP
american_scientific_journal-3632	312	71	the	the	DET
american_scientific_journal-3632	312	72	sign	sign	NOUN
american_scientific_journal-3632	312	73	of	of	ADP
american_scientific_journal-3632	312	74	the	the	DET
american_scientific_journal-3632	312	75	estimated	estimate	VERB
american_scientific_journal-3632	312	76	parameters	parameter	NOUN
american_scientific_journal-3632	312	77			X
american_scientific_journal-3632	312	78	and	and	CCONJ
american_scientific_journal-3632	312	79			NOUN
american_scientific_journal-3632	312	80	’	'	PUNCT
american_scientific_journal-3632	312	81	.	.	PUNCT
american_scientific_journal-3632	313	1	figure	figure	VERB
american_scientific_journal-3632	313	2	3	3	NUM
american_scientific_journal-3632	313	3	thus	thus	ADV
american_scientific_journal-3632	313	4	describes	describe	VERB
american_scientific_journal-3632	313	5	the	the	DET
american_scientific_journal-3632	313	6	mutation	mutation	NOUN
american_scientific_journal-3632	313	7	of	of	ADP
american_scientific_journal-3632	313	8	x(t	x(t	PROPN
american_scientific_journal-3632	313	9	)	)	PUNCT
american_scientific_journal-3632	313	10	and	and	CCONJ
american_scientific_journal-3632	313	11	y(t	y(t	NUM
american_scientific_journal-3632	313	12	)	)	PUNCT
american_scientific_journal-3632	313	13	towards	towards	ADP
american_scientific_journal-3632	313	14	a	a	DET
american_scientific_journal-3632	313	15	new	new	ADJ
american_scientific_journal-3632	313	16	type	type	NOUN
american_scientific_journal-3632	313	17	of	of	ADP
american_scientific_journal-3632	313	18	relationship	relationship	NOUN
american_scientific_journal-3632	313	19	where	where	SCONJ
american_scientific_journal-3632	313	20	the	the	DET
american_scientific_journal-3632	313	21	evolution	evolution	NOUN
american_scientific_journal-3632	313	22	of	of	ADP
american_scientific_journal-3632	313	23	one	one	NUM
american_scientific_journal-3632	313	24	is	be	AUX
american_scientific_journal-3632	313	25	more	more	ADV
american_scientific_journal-3632	313	26	beneficial	beneficial	ADJ
american_scientific_journal-3632	313	27	to	to	ADP
american_scientific_journal-3632	313	28	the	the	DET
american_scientific_journal-3632	313	29	evolution	evolution	NOUN
american_scientific_journal-3632	313	30	of	of	ADP
american_scientific_journal-3632	313	31	the	the	DET
american_scientific_journal-3632	313	32	other	other	ADJ
american_scientific_journal-3632	313	33	before	before	ADP
american_scientific_journal-3632	313	34	the	the	DET
american_scientific_journal-3632	313	35	global	global	ADJ
american_scientific_journal-3632	313	36	convergence	convergence	NOUN
american_scientific_journal-3632	313	37	towards	towards	ADP
american_scientific_journal-3632	313	38	the	the	DET
american_scientific_journal-3632	313	39	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	313	40	.	.	PUNCT
american_scientific_journal-3632	314	1	4.4	4.4	NUM
american_scientific_journal-3632	314	2	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	314	3	analysis	analysis	NOUN
american_scientific_journal-3632	314	4	the	the	DET
american_scientific_journal-3632	314	5	analysis	analysis	NOUN
american_scientific_journal-3632	314	6	of	of	ADP
american_scientific_journal-3632	314	7	the	the	DET
american_scientific_journal-3632	314	8	s2	s2	NOUN
american_scientific_journal-3632	314	9	model	model	NOUN
american_scientific_journal-3632	314	10	can	can	AUX
american_scientific_journal-3632	314	11	provide	provide	VERB
american_scientific_journal-3632	314	12	us	we	PRON
american_scientific_journal-3632	314	13	with	with	ADP
american_scientific_journal-3632	314	14	a	a	DET
american_scientific_journal-3632	314	15	certain	certain	ADJ
american_scientific_journal-3632	314	16	amount	amount	NOUN
american_scientific_journal-3632	314	17	of	of	ADP
american_scientific_journal-3632	314	18	information	information	NOUN
american_scientific_journal-3632	314	19	on	on	ADP
american_scientific_journal-3632	314	20	the	the	DET
american_scientific_journal-3632	314	21	state	state	NOUN
american_scientific_journal-3632	314	22	of	of	ADP
american_scientific_journal-3632	314	23	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	314	24	and	and	CCONJ
american_scientific_journal-3632	314	25	the	the	DET
american_scientific_journal-3632	314	26	change	change	NOUN
american_scientific_journal-3632	314	27	of	of	ADP
american_scientific_journal-3632	314	28	the	the	DET
american_scientific_journal-3632	314	29	trajectory	trajectory	NOUN
american_scientific_journal-3632	314	30	depending	depend	VERB
american_scientific_journal-3632	314	31	on	on	ADP
american_scientific_journal-3632	314	32	time	time	NOUN
american_scientific_journal-3632	314	33	.	.	PUNCT
american_scientific_journal-3632	315	1	this	this	DET
american_scientific_journal-3632	315	2	analysis	analysis	NOUN
american_scientific_journal-3632	315	3	furthermore	furthermore	ADV
american_scientific_journal-3632	315	4	allows	allow	VERB
american_scientific_journal-3632	315	5	us	we	PRON
american_scientific_journal-3632	315	6	to	to	PART
american_scientific_journal-3632	315	7	identify	identify	VERB
american_scientific_journal-3632	315	8	the	the	DET
american_scientific_journal-3632	315	9	stability	stability	NOUN
american_scientific_journal-3632	315	10	of	of	ADP
american_scientific_journal-3632	315	11	the	the	DET
american_scientific_journal-3632	315	12	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	315	13	.	.	PUNCT
american_scientific_journal-3632	316	1	we	we	PRON
american_scientific_journal-3632	316	2	begin	begin	VERB
american_scientific_journal-3632	316	3	this	this	DET
american_scientific_journal-3632	316	4	work	work	NOUN
american_scientific_journal-3632	316	5	by	by	ADP
american_scientific_journal-3632	316	6	finding	find	VERB
american_scientific_journal-3632	316	7	the	the	DET
american_scientific_journal-3632	316	8	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	316	9	state	state	NOUN
american_scientific_journal-3632	316	10	(	(	PUNCT
american_scientific_journal-3632	316	11	x,y	x,y	PROPN
american_scientific_journal-3632	316	12	)	)	PUNCT
american_scientific_journal-3632	316	13	and	and	CCONJ
american_scientific_journal-3632	316	14	analyzing	analyze	VERB
american_scientific_journal-3632	316	15	the	the	DET
american_scientific_journal-3632	316	16	stability	stability	NOUN
american_scientific_journal-3632	316	17	of	of	ADP
american_scientific_journal-3632	316	18	the	the	DET
american_scientific_journal-3632	316	19	growth	growth	NOUN
american_scientific_journal-3632	316	20	rate	rate	NOUN
american_scientific_journal-3632	316	21	of	of	ADP
american_scientific_journal-3632	316	22	capital	capital	NOUN
american_scientific_journal-3632	316	23	investment	investment	NOUN
american_scientific_journal-3632	316	24	and	and	CCONJ
american_scientific_journal-3632	316	25	r&d	r&d	NOUN
american_scientific_journal-3632	316	26	investment	investment	NOUN
american_scientific_journal-3632	316	27	of	of	ADP
american_scientific_journal-3632	316	28	the	the	DET
american_scientific_journal-3632	316	29	s2	s2	NOUN
american_scientific_journal-3632	316	30	system	system	NOUN
american_scientific_journal-3632	316	31	by	by	ADP
american_scientific_journal-3632	316	32	setting	set	VERB
american_scientific_journal-3632	316	33	their	their	PRON
american_scientific_journal-3632	316	34	evolution	evolution	NOUN
american_scientific_journal-3632	316	35	to	to	ADP
american_scientific_journal-3632	316	36	zero	zero	NUM
american_scientific_journal-3632	316	37	:	:	PUNCT
american_scientific_journal-3632	316	38	(	(	PUNCT
american_scientific_journal-3632	316	39	dx	dx	PROPN
american_scientific_journal-3632	316	40	dy	dy	X
american_scientific_journal-3632	316	41	=	=	SYM
american_scientific_journal-3632	316	42	0	0	PROPN
american_scientific_journal-3632	316	43	,	,	PUNCT
american_scientific_journal-3632	316	44	=	=	SYM
american_scientific_journal-3632	316	45	0	0	NUM
american_scientific_journal-3632	316	46	dt	dt	NOUN
american_scientific_journal-3632	316	47	dt	dt	NOUN
american_scientific_journal-3632	316	48	and	and	CCONJ
american_scientific_journal-3632	316	49	n(t	n(t	PROPN
american_scientific_journal-3632	316	50	)	)	PUNCT
american_scientific_journal-3632	316	51	n→	n→	PROPN
american_scientific_journal-3632	316	52	∞	∞	NUM
american_scientific_journal-3632	316	53	)	)	PUNCT
american_scientific_journal-3632	316	54	.	.	PUNCT
american_scientific_journal-3632	317	1	at	at	ADP
american_scientific_journal-3632	317	2	the	the	DET
american_scientific_journal-3632	317	3	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	317	4	point	point	NOUN
american_scientific_journal-3632	317	5	,	,	PUNCT
american_scientific_journal-3632	317	6	the	the	DET
american_scientific_journal-3632	317	7	s2	s2	PROPN
american_scientific_journal-3632	317	8	differential	differential	NOUN
american_scientific_journal-3632	317	9	equations	equation	NOUN
american_scientific_journal-3632	317	10	are	be	AUX
american_scientific_journal-3632	317	11	equivalent	equivalent	ADJ
american_scientific_journal-3632	317	12	to	to	ADP
american_scientific_journal-3632	317	13	the	the	DET
american_scientific_journal-3632	317	14	following	follow	VERB
american_scientific_journal-3632	317	15	algebraic	algebraic	ADJ
american_scientific_journal-3632	317	16	equations	equation	NOUN
american_scientific_journal-3632	317	17	:	:	PUNCT
american_scientific_journal-3632	317	18			ADJ
american_scientific_journal-3632	317	19			ADP
american_scientific_journal-3632	317	20			ADJ
american_scientific_journal-3632	317	21			NOUN
american_scientific_journal-3632	317	22	θx(t)+	θx(t)+	NOUN
american_scientific_journal-3632	317	23	ξy(t)+	ξy(t)+	NOUN
american_scientific_journal-3632	317	24	ηn	ηn	ADJ
american_scientific_journal-3632	317	25	=	=	SYM
american_scientific_journal-3632	317	26	0	0	NUM
american_scientific_journal-3632	317	27	α	α	X
american_scientific_journal-3632	317	28	'	'	PUNCT
american_scientific_journal-3632	317	29	x(t	x(t	PROPN
american_scientific_journal-3632	317	30	)	)	PUNCT
american_scientific_journal-3632	317	31	yδ(t)+	yδ(t)+	NOUN
american_scientific_journal-3632	317	32	n	n	CCONJ
american_scientific_journal-3632	317	33	  	  	SPACE
american_scientific_journal-3632	317	34	=	=	NOUN
american_scientific_journal-3632	317	35	0	0	NUM
american_scientific_journal-3632	317	36			ADP
american_scientific_journal-3632	318	1			NOUN
american_scientific_journal-3632	319	1			NUM
american_scientific_journal-3632	319	2	∞	∞	NUM
american_scientific_journal-3632	319	3	∞	∞	NUM
american_scientific_journal-3632	320	1	the	the	DET
american_scientific_journal-3632	320	2	system	system	NOUN
american_scientific_journal-3632	320	3	of	of	ADP
american_scientific_journal-3632	320	4	equations	equation	NOUN
american_scientific_journal-3632	320	5	above	above	ADV
american_scientific_journal-3632	320	6	can	can	AUX
american_scientific_journal-3632	320	7	also	also	ADV
american_scientific_journal-3632	320	8	be	be	AUX
american_scientific_journal-3632	320	9	expressed	express	VERB
american_scientific_journal-3632	320	10	in	in	ADP
american_scientific_journal-3632	320	11	the	the	DET
american_scientific_journal-3632	320	12	following	follow	VERB
american_scientific_journal-3632	320	13	manner	manner	NOUN
american_scientific_journal-3632	320	14	:	:	PUNCT
american_scientific_journal-3632	320	15	ηn	ηn	PROPN
american_scientific_journal-3632	320	16	ξy	ξy	NOUN
american_scientific_journal-3632	320	17	x	x	SYM
american_scientific_journal-3632	320	18	=	=	SYM
american_scientific_journal-3632	320	19	θ	θ	NOUN
american_scientific_journal-3632	320	20	∞	∞	PROPN
american_scientific_journal-3632	320	21	,	,	PUNCT
american_scientific_journal-3632	320	22	α'n	α'n	NOUN
american_scientific_journal-3632	320	23	α'x	α'x	NOUN
american_scientific_journal-3632	320	24	y	y	NOUN
american_scientific_journal-3632	320	25	=	=	PUNCT
american_scientific_journal-3632	320	26	-α	-α	PROPN
american_scientific_journal-3632	320	27	'	'	PART
american_scientific_journal-3632	320	28			NOUN
american_scientific_journal-3632	320	29	(	(	PUNCT
american_scientific_journal-3632	320	30	26	26	NUM
american_scientific_journal-3632	320	31	)	)	PUNCT
american_scientific_journal-3632	320	32	the	the	DET
american_scientific_journal-3632	320	33	two	two	NUM
american_scientific_journal-3632	320	34	expressions	expression	NOUN
american_scientific_journal-3632	320	35	dx	dx	PROPN
american_scientific_journal-3632	320	36	dy	dy	X
american_scientific_journal-3632	320	37	=	=	SYM
american_scientific_journal-3632	320	38	0	0	PUNCT
american_scientific_journal-3632	321	1	and	and	CCONJ
american_scientific_journal-3632	321	2	=	=	SYM
american_scientific_journal-3632	321	3	0	0	NUM
american_scientific_journal-3632	321	4	dt	dt	NOUN
american_scientific_journal-3632	322	1	dt	dt	AUX
american_scientific_journal-3632	322	2	grow	grow	VERB
american_scientific_journal-3632	322	3	to	to	ADP
american_scientific_journal-3632	322	4	the	the	DET
american_scientific_journal-3632	322	5	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	322	6	point	point	NOUN
american_scientific_journal-3632	322	7	where	where	SCONJ
american_scientific_journal-3632	322	8	capital	capital	NOUN
american_scientific_journal-3632	322	9	accumulation	accumulation	NOUN
american_scientific_journal-3632	322	10	and	and	CCONJ
american_scientific_journal-3632	322	11	technological	technological	ADJ
american_scientific_journal-3632	322	12	progress	progress	NOUN
american_scientific_journal-3632	322	13	coexist	coexist	VERB
american_scientific_journal-3632	322	14	without	without	ADP
american_scientific_journal-3632	322	15	a	a	DET
american_scientific_journal-3632	322	16	dynamic	dynamic	ADJ
american_scientific_journal-3632	322	17	change	change	NOUN
american_scientific_journal-3632	322	18	.	.	PUNCT
american_scientific_journal-3632	323	1	following	follow	VERB
american_scientific_journal-3632	323	2	the	the	DET
american_scientific_journal-3632	323	3	equations	equation	NOUN
american_scientific_journal-3632	323	4	presented	present	VERB
american_scientific_journal-3632	323	5	above	above	ADP
american_scientific_journal-3632	323	6	,	,	PUNCT
american_scientific_journal-3632	323	7	if	if	SCONJ
american_scientific_journal-3632	323	8	ηn(t	ηn(t	NOUN
american_scientific_journal-3632	323	9	)	)	PUNCT
american_scientific_journal-3632	323	10	ξy(t	ξy(t	NUM
american_scientific_journal-3632	323	11	)	)	PUNCT
american_scientific_journal-3632	323	12	x(t	x(t	PROPN
american_scientific_journal-3632	323	13	)	)	PUNCT
american_scientific_journal-3632	323	14	<	<	X
american_scientific_journal-3632	323	15	θ	θ	X
american_scientific_journal-3632	323	16	then	then	ADV
american_scientific_journal-3632	323	17	dx	dx	PROPN
american_scientific_journal-3632	323	18	>	>	X
american_scientific_journal-3632	323	19	0	0	PUNCT
american_scientific_journal-3632	323	20	dt	dt	X
american_scientific_journal-3632	323	21	which	which	PRON
american_scientific_journal-3632	323	22	signifies	signify	VERB
american_scientific_journal-3632	323	23	that	that	SCONJ
american_scientific_journal-3632	323	24	the	the	DET
american_scientific_journal-3632	323	25	growth	growth	NOUN
american_scientific_journal-3632	323	26	rate	rate	NOUN
american_scientific_journal-3632	323	27	of	of	ADP
american_scientific_journal-3632	323	28	the	the	DET
american_scientific_journal-3632	323	29	investment	investment	NOUN
american_scientific_journal-3632	323	30	in	in	ADP
american_scientific_journal-3632	323	31	r&d	r&d	NOUN
american_scientific_journal-3632	323	32	21	21	NUM
american_scientific_journal-3632	323	33	will	will	AUX
american_scientific_journal-3632	323	34	witness	witness	VERB
american_scientific_journal-3632	323	35	an	an	DET
american_scientific_journal-3632	323	36	increase	increase	NOUN
american_scientific_journal-3632	323	37	.	.	PUNCT
american_scientific_journal-3632	324	1	in	in	ADP
american_scientific_journal-3632	324	2	the	the	DET
american_scientific_journal-3632	324	3	opposite	opposite	ADJ
american_scientific_journal-3632	324	4	case	case	NOUN
american_scientific_journal-3632	324	5	,	,	PUNCT
american_scientific_journal-3632	324	6	when	when	SCONJ
american_scientific_journal-3632	324	7	ηn(t	ηn(t	X
american_scientific_journal-3632	324	8	)	)	PUNCT
american_scientific_journal-3632	324	9	ξy(t	ξy(t	NUM
american_scientific_journal-3632	324	10	)	)	PUNCT
american_scientific_journal-3632	324	11	x(t	x(t	PROPN
american_scientific_journal-3632	324	12	)	)	PUNCT
american_scientific_journal-3632	324	13	>	>	X
american_scientific_journal-3632	324	14	θ	θ	PROPN
american_scientific_journal-3632	324	15	and	and	CCONJ
american_scientific_journal-3632	324	16	so	so	ADV
american_scientific_journal-3632	324	17	dx	dx	PROPN
american_scientific_journal-3632	324	18	<	<	X
american_scientific_journal-3632	324	19	0	0	X
american_scientific_journal-3632	324	20	dt	dt	X
american_scientific_journal-3632	324	21	,	,	PUNCT
american_scientific_journal-3632	324	22	the	the	DET
american_scientific_journal-3632	324	23	growth	growth	NOUN
american_scientific_journal-3632	324	24	rate	rate	NOUN
american_scientific_journal-3632	324	25	of	of	ADP
american_scientific_journal-3632	324	26	r&d	r&d	NOUN
american_scientific_journal-3632	324	27	investment	investment	NOUN
american_scientific_journal-3632	324	28	sees	see	VERB
american_scientific_journal-3632	324	29	a	a	DET
american_scientific_journal-3632	324	30	decrease	decrease	NOUN
american_scientific_journal-3632	324	31	.	.	PUNCT
american_scientific_journal-3632	325	1	following	follow	VERB
american_scientific_journal-3632	325	2	the	the	DET
american_scientific_journal-3632	325	3	same	same	ADJ
american_scientific_journal-3632	325	4	logic	logic	NOUN
american_scientific_journal-3632	325	5	,	,	PUNCT
american_scientific_journal-3632	325	6	the	the	DET
american_scientific_journal-3632	325	7	growth	growth	NOUN
american_scientific_journal-3632	325	8	rate	rate	NOUN
american_scientific_journal-3632	325	9	of	of	ADP
american_scientific_journal-3632	325	10	capital	capital	NOUN
american_scientific_journal-3632	325	11	investment	investment	NOUN
american_scientific_journal-3632	325	12	will	will	AUX
american_scientific_journal-3632	325	13	increase	increase	VERB
american_scientific_journal-3632	325	14	if	if	SCONJ
american_scientific_journal-3632	325	15	α'n(t	α'n(t	NOUN
american_scientific_journal-3632	325	16	)	)	PUNCT
american_scientific_journal-3632	325	17	α'x(t	α'x(t	PROPN
american_scientific_journal-3632	325	18	)	)	PUNCT
american_scientific_journal-3632	325	19	y(t	y(t	NUM
american_scientific_journal-3632	325	20	)	)	PUNCT
american_scientific_journal-3632	325	21	<	<	X
american_scientific_journal-3632	326	1	-α	-α	X
american_scientific_journal-3632	326	2	'	'	PUNCT
american_scientific_journal-3632	326	3	and	and	CCONJ
american_scientific_journal-3632	326	4	vice	vice	ADV
american_scientific_journal-3632	326	5	versa	versa	ADV
american_scientific_journal-3632	326	6	.	.	PUNCT
american_scientific_journal-3632	327	1	in	in	ADP
american_scientific_journal-3632	327	2	the	the	DET
american_scientific_journal-3632	327	3	long	long	ADJ
american_scientific_journal-3632	327	4	term	term	NOUN
american_scientific_journal-3632	327	5	,	,	PUNCT
american_scientific_journal-3632	327	6	the	the	DET
american_scientific_journal-3632	327	7	growth	growth	NOUN
american_scientific_journal-3632	327	8	rates	rate	NOUN
american_scientific_journal-3632	327	9	of	of	ADP
american_scientific_journal-3632	327	10	investment	investment	NOUN
american_scientific_journal-3632	327	11	in	in	ADP
american_scientific_journal-3632	327	12	capital	capital	NOUN
american_scientific_journal-3632	327	13	and	and	CCONJ
american_scientific_journal-3632	327	14	r&d	r&d	NOUN
american_scientific_journal-3632	327	15	reach	reach	VERB
american_scientific_journal-3632	327	16	the	the	DET
american_scientific_journal-3632	327	17	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	327	18	at	at	ADP
american_scientific_journal-3632	327	19	the	the	DET
american_scientific_journal-3632	327	20	point	point	NOUN
american_scientific_journal-3632	327	21	(	(	PUNCT
american_scientific_journal-3632	327	22	x	x	PROPN
american_scientific_journal-3632	327	23	,	,	PUNCT
american_scientific_journal-3632	327	24	y	y	NOUN
american_scientific_journal-3632	327	25	)	)	PUNCT
american_scientific_journal-3632	327	26	,	,	PUNCT
american_scientific_journal-3632	327	27	which	which	PRON
american_scientific_journal-3632	327	28	is	be	AUX
american_scientific_journal-3632	327	29	the	the	DET
american_scientific_journal-3632	327	30	point	point	NOUN
american_scientific_journal-3632	327	31	of	of	ADP
american_scientific_journal-3632	327	32	intersection	intersection	NOUN
american_scientific_journal-3632	327	33	of	of	ADP
american_scientific_journal-3632	327	34	the	the	DET
american_scientific_journal-3632	327	35	two	two	NUM
american_scientific_journal-3632	327	36	lines	line	NOUN
american_scientific_journal-3632	327	37	of	of	ADP
american_scientific_journal-3632	327	38	the	the	DET
american_scientific_journal-3632	327	39	equation	equation	NOUN
american_scientific_journal-3632	327	40	(	(	PUNCT
american_scientific_journal-3632	327	41	26	26	NUM
american_scientific_journal-3632	327	42	)	)	PUNCT
american_scientific_journal-3632	327	43	.	.	PUNCT
american_scientific_journal-3632	328	1	the	the	DET
american_scientific_journal-3632	328	2	stability	stability	NOUN
american_scientific_journal-3632	328	3	of	of	ADP
american_scientific_journal-3632	328	4	this	this	DET
american_scientific_journal-3632	328	5	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	328	6	point	point	NOUN
american_scientific_journal-3632	328	7	21	21	NUM
american_scientific_journal-3632	328	8	recall	recall	NOUN
american_scientific_journal-3632	328	9	that	that	SCONJ
american_scientific_journal-3632	328	10	x(t	x(t	PROPN
american_scientific_journal-3632	328	11	)	)	PUNCT
american_scientific_journal-3632	328	12	represent	represent	VERB
american_scientific_journal-3632	328	13	the	the	DET
american_scientific_journal-3632	328	14	growth	growth	NOUN
american_scientific_journal-3632	328	15	rate	rate	NOUN
american_scientific_journal-3632	328	16	of	of	ADP
american_scientific_journal-3632	328	17	r&d	r&d	NOUN
american_scientific_journal-3632	328	18	investment	investment	NOUN
american_scientific_journal-3632	328	19	.	.	PUNCT
american_scientific_journal-3632	329	1	american	american	ADJ
american_scientific_journal-3632	329	2	scientific	scientific	ADJ
american_scientific_journal-3632	329	3	research	research	PROPN
american_scientific_journal-3632	329	4	journal	journal	NOUN
american_scientific_journal-3632	329	5	for	for	ADP
american_scientific_journal-3632	329	6	engineering	engineering	NOUN
american_scientific_journal-3632	329	7	,	,	PUNCT
american_scientific_journal-3632	329	8	technology	technology	NOUN
american_scientific_journal-3632	329	9	,	,	PUNCT
american_scientific_journal-3632	329	10	and	and	CCONJ
american_scientific_journal-3632	329	11	sciences	science	NOUN
american_scientific_journal-3632	329	12	(	(	PUNCT
american_scientific_journal-3632	329	13	asrjets	asrjet	NOUN
american_scientific_journal-3632	329	14	)	)	PUNCT
american_scientific_journal-3632	329	15	(	(	PUNCT
american_scientific_journal-3632	329	16	2018	2018	NUM
american_scientific_journal-3632	329	17	)	)	PUNCT
american_scientific_journal-3632	329	18	volume	volume	NOUN
american_scientific_journal-3632	329	19	39	39	NUM
american_scientific_journal-3632	329	20	,	,	PUNCT
american_scientific_journal-3632	329	21	no	no	DET
american_scientific_journal-3632	329	22	1	1	NUM
american_scientific_journal-3632	329	23	,	,	PUNCT
american_scientific_journal-3632	329	24	pp	pp	ADJ
american_scientific_journal-3632	329	25	138	138	NUM
american_scientific_journal-3632	329	26	-	-	SYM
american_scientific_journal-3632	329	27	158	158	NUM
american_scientific_journal-3632	329	28	154	154	NUM
american_scientific_journal-3632	329	29	depends	depend	VERB
american_scientific_journal-3632	329	30	on	on	ADP
american_scientific_journal-3632	329	31	the	the	DET
american_scientific_journal-3632	329	32	values	value	NOUN
american_scientific_journal-3632	329	33	of	of	ADP
american_scientific_journal-3632	329	34	the	the	DET
american_scientific_journal-3632	329	35	s2	s2	NOUN
american_scientific_journal-3632	329	36	coefficients	coefficient	NOUN
american_scientific_journal-3632	329	37	.	.	PUNCT
american_scientific_journal-3632	330	1	figure	figure	NOUN
american_scientific_journal-3632	330	2	3	3	NUM
american_scientific_journal-3632	330	3	describes	describe	VERB
american_scientific_journal-3632	330	4	the	the	DET
american_scientific_journal-3632	330	5	simulated	simulated	ADJ
american_scientific_journal-3632	330	6	trajectories	trajectory	NOUN
american_scientific_journal-3632	330	7	of	of	ADP
american_scientific_journal-3632	330	8	the	the	DET
american_scientific_journal-3632	330	9	growth	growth	NOUN
american_scientific_journal-3632	330	10	rate	rate	NOUN
american_scientific_journal-3632	330	11	of	of	ADP
american_scientific_journal-3632	330	12	the	the	DET
american_scientific_journal-3632	330	13	investment	investment	NOUN
american_scientific_journal-3632	330	14	in	in	ADP
american_scientific_journal-3632	330	15	capital	capital	NOUN
american_scientific_journal-3632	330	16	and	and	CCONJ
american_scientific_journal-3632	330	17	in	in	ADP
american_scientific_journal-3632	330	18	r&d	r&d	NOUN
american_scientific_journal-3632	330	19	in	in	ADP
american_scientific_journal-3632	330	20	canon	canon	NOUN
american_scientific_journal-3632	330	21	industry	industry	NOUN
american_scientific_journal-3632	330	22	.	.	PUNCT
american_scientific_journal-3632	331	1	we	we	PRON
american_scientific_journal-3632	331	2	can	can	AUX
american_scientific_journal-3632	331	3	clearly	clearly	ADV
american_scientific_journal-3632	331	4	see	see	VERB
american_scientific_journal-3632	331	5	that	that	SCONJ
american_scientific_journal-3632	331	6	at	at	ADP
american_scientific_journal-3632	331	7	the	the	DET
american_scientific_journal-3632	331	8	start	start	NOUN
american_scientific_journal-3632	331	9	,	,	PUNCT
american_scientific_journal-3632	331	10	the	the	DET
american_scientific_journal-3632	331	11	growth	growth	NOUN
american_scientific_journal-3632	331	12	rate	rate	NOUN
american_scientific_journal-3632	331	13	of	of	ADP
american_scientific_journal-3632	331	14	one	one	NUM
american_scientific_journal-3632	331	15	increases	increase	NOUN
american_scientific_journal-3632	331	16	whilst	whilst	SCONJ
american_scientific_journal-3632	331	17	the	the	DET
american_scientific_journal-3632	331	18	other	other	ADJ
american_scientific_journal-3632	331	19	decreases	decrease	NOUN
american_scientific_journal-3632	331	20	(	(	PUNCT
american_scientific_journal-3632	331	21	following	follow	VERB
american_scientific_journal-3632	331	22	the	the	DET
american_scientific_journal-3632	331	23	predator	predator	NOUN
american_scientific_journal-3632	331	24	-	-	PUNCT
american_scientific_journal-3632	331	25	prey	prey	NOUN
american_scientific_journal-3632	331	26	behavior	behavior	NOUN
american_scientific_journal-3632	331	27	)	)	PUNCT
american_scientific_journal-3632	331	28	,	,	PUNCT
american_scientific_journal-3632	331	29	then	then	ADV
american_scientific_journal-3632	331	30	the	the	DET
american_scientific_journal-3632	331	31	two	two	NUM
american_scientific_journal-3632	331	32	variables	variable	NOUN
american_scientific_journal-3632	331	33	witness	witness	VERB
american_scientific_journal-3632	331	34	a	a	DET
american_scientific_journal-3632	331	35	mutual	mutual	ADJ
american_scientific_journal-3632	331	36	interaction	interaction	NOUN
american_scientific_journal-3632	331	37	which	which	PRON
american_scientific_journal-3632	331	38	leads	lead	VERB
american_scientific_journal-3632	331	39	to	to	ADP
american_scientific_journal-3632	331	40	a	a	DET
american_scientific_journal-3632	331	41	convergence	convergence	NOUN
american_scientific_journal-3632	331	42	towards	towards	ADP
american_scientific_journal-3632	331	43	the	the	DET
american_scientific_journal-3632	331	44	point	point	NOUN
american_scientific_journal-3632	331	45	of	of	ADP
american_scientific_journal-3632	331	46	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	331	47	which	which	PRON
american_scientific_journal-3632	331	48	is	be	AUX
american_scientific_journal-3632	331	49	the	the	DET
american_scientific_journal-3632	331	50	point	point	NOUN
american_scientific_journal-3632	331	51	(	(	PUNCT
american_scientific_journal-3632	331	52	0,0	0,0	NOUN
american_scientific_journal-3632	331	53	)	)	PUNCT
american_scientific_journal-3632	331	54	.	.	PUNCT
american_scientific_journal-3632	332	1	this	this	DET
american_scientific_journal-3632	332	2	change	change	NOUN
american_scientific_journal-3632	332	3	in	in	ADP
american_scientific_journal-3632	332	4	behavior	behavior	NOUN
american_scientific_journal-3632	332	5	(	(	PUNCT
american_scientific_journal-3632	332	6	from	from	ADP
american_scientific_journal-3632	332	7	predatorprey	predatorprey	PROPN
american_scientific_journal-3632	332	8	to	to	ADP
american_scientific_journal-3632	332	9	mutualism	mutualism	NOUN
american_scientific_journal-3632	332	10	can	can	AUX
american_scientific_journal-3632	332	11	be	be	AUX
american_scientific_journal-3632	332	12	explained	explain	VERB
american_scientific_journal-3632	332	13	by	by	ADP
american_scientific_journal-3632	332	14	the	the	DET
american_scientific_journal-3632	332	15	effect	effect	NOUN
american_scientific_journal-3632	332	16	of	of	ADP
american_scientific_journal-3632	332	17	learning	learn	VERB
american_scientific_journal-3632	332	18	through	through	ADP
american_scientific_journal-3632	332	19	interaction	interaction	NOUN
american_scientific_journal-3632	332	20	in	in	ADP
american_scientific_journal-3632	332	21	the	the	DET
american_scientific_journal-3632	332	22	sense	sense	NOUN
american_scientific_journal-3632	332	23	of	of	ADP
american_scientific_journal-3632	332	24	b.a	b.a	PROPN
american_scientific_journal-3632	332	25	.	.	PROPN
american_scientific_journal-3632	332	26	lundvall	lundvall	PROPN
american_scientific_journal-3632	332	27	)	)	PUNCT
american_scientific_journal-3632	332	28	.	.	PUNCT
american_scientific_journal-3632	333	1	moreover	moreover	ADV
american_scientific_journal-3632	333	2	,	,	PUNCT
american_scientific_journal-3632	333	3	using	use	VERB
american_scientific_journal-3632	333	4	the	the	DET
american_scientific_journal-3632	333	5	estimated	estimate	VERB
american_scientific_journal-3632	333	6	values	value	NOUN
american_scientific_journal-3632	333	7	of	of	ADP
american_scientific_journal-3632	333	8	the	the	DET
american_scientific_journal-3632	333	9	model	model	NOUN
american_scientific_journal-3632	333	10	parameters	parameter	NOUN
american_scientific_journal-3632	333	11	,	,	PUNCT
american_scientific_journal-3632	333	12	we	we	PRON
american_scientific_journal-3632	333	13	can	can	AUX
american_scientific_journal-3632	333	14	prove	prove	VERB
american_scientific_journal-3632	333	15	with	with	ADP
american_scientific_journal-3632	333	16	the	the	DET
american_scientific_journal-3632	333	17	help	help	NOUN
american_scientific_journal-3632	333	18	of	of	ADP
american_scientific_journal-3632	333	19	lyapunov	lyapunov	ADJ
american_scientific_journal-3632	333	20	functions	function	NOUN
american_scientific_journal-3632	333	21	that	that	PRON
american_scientific_journal-3632	333	22	investment	investment	NOUN
american_scientific_journal-3632	333	23	in	in	ADP
american_scientific_journal-3632	333	24	r&d	r&d	NOUN
american_scientific_journal-3632	333	25	and	and	CCONJ
american_scientific_journal-3632	333	26	in	in	ADP
american_scientific_journal-3632	333	27	capital	capital	NOUN
american_scientific_journal-3632	333	28	converge	converge	NOUN
american_scientific_journal-3632	333	29	towards	towards	ADP
american_scientific_journal-3632	333	30	a	a	DET
american_scientific_journal-3632	333	31	stable	stable	ADJ
american_scientific_journal-3632	333	32	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	333	33	point	point	NOUN
american_scientific_journal-3632	333	34	which	which	PRON
american_scientific_journal-3632	333	35	is	be	AUX
american_scientific_journal-3632	333	36	asymptotically	asymptotically	ADV
american_scientific_journal-3632	333	37	stable	stable	ADJ
american_scientific_journal-3632	333	38	as	as	ADP
american_scientific_journal-3632	333	39	the	the	DET
american_scientific_journal-3632	333	40	given	give	VERB
american_scientific_journal-3632	333	41	conditions	condition	NOUN
american_scientific_journal-3632	333	42	of	of	ADP
american_scientific_journal-3632	333	43	the	the	DET
american_scientific_journal-3632	333	44	parameters	parameter	NOUN
american_scientific_journal-3632	333	45	(	(	PUNCT
american_scientific_journal-3632	333	46	-θ	-θ	PUNCT
american_scientific_journal-3632	333	47	=	=	SYM
american_scientific_journal-3632	333	48	3.2302	3.2302	NUM
american_scientific_journal-3632	333	49	is	be	AUX
american_scientific_journal-3632	333	50	>	>	X
american_scientific_journal-3632	333	51	0	0	PUNCT
american_scientific_journal-3632	333	52	as	as	ADV
american_scientific_journal-3632	333	53	well	well	ADV
american_scientific_journal-3632	333	54	as	as	ADP
american_scientific_journal-3632	333	55	-	-	PUNCT
american_scientific_journal-3632	333	56	(	(	PUNCT
american_scientific_journal-3632	333	57	θ	θ	NOUN
american_scientific_journal-3632	333	58	+	+	NOUN
american_scientific_journal-3632	333	59			NOUN
american_scientific_journal-3632	333	60	)	)	PUNCT
american_scientific_journal-3632	333	61	=	=	SYM
american_scientific_journal-3632	333	62	4,1454	4,1454	PROPN
american_scientific_journal-3632	333	63	is	be	AUX
american_scientific_journal-3632	333	64	>	>	X
american_scientific_journal-3632	333	65	0	0	NUM
american_scientific_journal-3632	333	66	)	)	PUNCT
american_scientific_journal-3632	333	67	permit	permit	VERB
american_scientific_journal-3632	333	68	the	the	DET
american_scientific_journal-3632	333	69	following	follow	VERB
american_scientific_journal-3632	333	70	relationships	relationship	NOUN
american_scientific_journal-3632	333	71	:	:	PUNCT
american_scientific_journal-3632	333	72	v(x(t),y(t),t)	v(x(t),y(t),t)	NOUN
american_scientific_journal-3632	333	73	0	0	NUM
american_scientific_journal-3632	333	74	and	and	CCONJ
american_scientific_journal-3632	333	75	dv(x(t),y(t),t	dv(x(t),y(t),t	PROPN
american_scientific_journal-3632	333	76	)	)	PUNCT
american_scientific_journal-3632	333	77	𝑑𝑡	𝑑𝑡	ADP
american_scientific_journal-3632	333	78	0	0	PROPN
american_scientific_journal-3632	333	79	,	,	PUNCT
american_scientific_journal-3632	333	80	w(x(t),y(t),t)	w(x(t),y(t),t)	NOUN
american_scientific_journal-3632	333	81	0	0	PUNCT
american_scientific_journal-3632	333	82	and	and	CCONJ
american_scientific_journal-3632	333	83	w(x(t),y(t),t	w(x(t),y(t),t	PROPN
american_scientific_journal-3632	333	84	)	)	PUNCT
american_scientific_journal-3632	333	85	𝑑𝑡	𝑑𝑡	ADP
american_scientific_journal-3632	333	86	0	0	PROPN
american_scientific_journal-3632	333	87	.	.	PUNCT
american_scientific_journal-3632	334	1	the	the	DET
american_scientific_journal-3632	334	2	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	334	3	relationships	relationship	NOUN
american_scientific_journal-3632	334	4	between	between	ADP
american_scientific_journal-3632	334	5	capital	capital	NOUN
american_scientific_journal-3632	334	6	accumulation	accumulation	NOUN
american_scientific_journal-3632	334	7	and	and	CCONJ
american_scientific_journal-3632	334	8	technological	technological	ADJ
american_scientific_journal-3632	334	9	progress	progress	NOUN
american_scientific_journal-3632	334	10	are	be	AUX
american_scientific_journal-3632	334	11	stable	stable	ADJ
american_scientific_journal-3632	334	12	in	in	ADP
american_scientific_journal-3632	334	13	the	the	DET
american_scientific_journal-3632	334	14	longterm	longterm	NOUN
american_scientific_journal-3632	334	15	.	.	PUNCT
american_scientific_journal-3632	335	1	the	the	DET
american_scientific_journal-3632	335	2	two	two	NUM
american_scientific_journal-3632	335	3	variables	variable	NOUN
american_scientific_journal-3632	335	4	thus	thus	ADV
american_scientific_journal-3632	335	5	reach	reach	VERB
american_scientific_journal-3632	335	6	a	a	DET
american_scientific_journal-3632	335	7	phase	phase	NOUN
american_scientific_journal-3632	335	8	of	of	ADP
american_scientific_journal-3632	335	9	maturity	maturity	NOUN
american_scientific_journal-3632	335	10	.	.	PUNCT
american_scientific_journal-3632	336	1	5	5	X
american_scientific_journal-3632	336	2	.	.	X
american_scientific_journal-3632	336	3	conclusion	conclusion	NOUN
american_scientific_journal-3632	336	4	in	in	ADP
american_scientific_journal-3632	336	5	this	this	DET
american_scientific_journal-3632	336	6	paper	paper	NOUN
american_scientific_journal-3632	336	7	we	we	PRON
american_scientific_journal-3632	336	8	have	have	AUX
american_scientific_journal-3632	336	9	attempted	attempt	VERB
american_scientific_journal-3632	336	10	to	to	PART
american_scientific_journal-3632	336	11	develop	develop	VERB
american_scientific_journal-3632	336	12	a	a	DET
american_scientific_journal-3632	336	13	modified	modify	VERB
american_scientific_journal-3632	336	14	version	version	NOUN
american_scientific_journal-3632	336	15	of	of	ADP
american_scientific_journal-3632	336	16	the	the	DET
american_scientific_journal-3632	336	17	lotka	lotka	PROPN
american_scientific_journal-3632	336	18	volterra	volterra	PROPN
american_scientific_journal-3632	336	19	model	model	NOUN
american_scientific_journal-3632	336	20	in	in	ADP
american_scientific_journal-3632	336	21	order	order	NOUN
american_scientific_journal-3632	336	22	to	to	PART
american_scientific_journal-3632	336	23	study	study	VERB
american_scientific_journal-3632	336	24	the	the	DET
american_scientific_journal-3632	336	25	interactive	interactive	ADJ
american_scientific_journal-3632	336	26	dependence	dependence	NOUN
american_scientific_journal-3632	336	27	between	between	ADP
american_scientific_journal-3632	336	28	the	the	DET
american_scientific_journal-3632	336	29	main	main	ADJ
american_scientific_journal-3632	336	30	factors	factor	NOUN
american_scientific_journal-3632	336	31	of	of	ADP
american_scientific_journal-3632	336	32	production	production	NOUN
american_scientific_journal-3632	336	33	.	.	PUNCT
american_scientific_journal-3632	337	1	specifically	specifically	ADV
american_scientific_journal-3632	337	2	,	,	PUNCT
american_scientific_journal-3632	337	3	how	how	SCONJ
american_scientific_journal-3632	337	4	the	the	DET
american_scientific_journal-3632	337	5	relationship	relationship	NOUN
american_scientific_journal-3632	337	6	between	between	ADP
american_scientific_journal-3632	337	7	technological	technological	ADJ
american_scientific_journal-3632	337	8	progress	progress	NOUN
american_scientific_journal-3632	337	9	and	and	CCONJ
american_scientific_journal-3632	337	10	capital	capital	NOUN
american_scientific_journal-3632	337	11	accumulation	accumulation	NOUN
american_scientific_journal-3632	337	12	evolve	evolve	VERB
american_scientific_journal-3632	337	13	over	over	ADP
american_scientific_journal-3632	337	14	time	time	NOUN
american_scientific_journal-3632	337	15	.	.	PUNCT
american_scientific_journal-3632	338	1	to	to	ADP
american_scientific_journal-3632	338	2	the	the	DET
american_scientific_journal-3632	338	3	best	good	ADJ
american_scientific_journal-3632	338	4	of	of	ADP
american_scientific_journal-3632	338	5	our	our	PRON
american_scientific_journal-3632	338	6	knowledge	knowledge	NOUN
american_scientific_journal-3632	338	7	,	,	PUNCT
american_scientific_journal-3632	338	8	very	very	ADV
american_scientific_journal-3632	338	9	few	few	ADJ
american_scientific_journal-3632	338	10	studies	study	NOUN
american_scientific_journal-3632	338	11	focus	focus	VERB
american_scientific_journal-3632	338	12	specifically	specifically	ADV
american_scientific_journal-3632	338	13	on	on	ADP
american_scientific_journal-3632	338	14	the	the	DET
american_scientific_journal-3632	338	15	dynamics	dynamic	NOUN
american_scientific_journal-3632	338	16	of	of	ADP
american_scientific_journal-3632	338	17	the	the	DET
american_scientific_journal-3632	338	18	link	link	NOUN
american_scientific_journal-3632	338	19	that	that	PRON
american_scientific_journal-3632	338	20	exists	exist	VERB
american_scientific_journal-3632	338	21	between	between	ADP
american_scientific_journal-3632	338	22	technological	technological	ADJ
american_scientific_journal-3632	338	23	progress	progress	NOUN
american_scientific_journal-3632	338	24	and	and	CCONJ
american_scientific_journal-3632	338	25	capital	capital	NOUN
american_scientific_journal-3632	338	26	accumulation	accumulation	NOUN
american_scientific_journal-3632	338	27	.	.	PUNCT
american_scientific_journal-3632	339	1	the	the	DET
american_scientific_journal-3632	339	2	originality	originality	NOUN
american_scientific_journal-3632	339	3	of	of	ADP
american_scientific_journal-3632	339	4	our	our	PRON
american_scientific_journal-3632	339	5	work	work	NOUN
american_scientific_journal-3632	339	6	therefore	therefore	ADV
american_scientific_journal-3632	339	7	lay	lie	VERB
american_scientific_journal-3632	339	8	in	in	ADP
american_scientific_journal-3632	339	9	the	the	DET
american_scientific_journal-3632	339	10	idea	idea	NOUN
american_scientific_journal-3632	339	11	of	of	ADP
american_scientific_journal-3632	339	12	illustrating	illustrate	VERB
american_scientific_journal-3632	339	13	and	and	CCONJ
american_scientific_journal-3632	339	14	analyzing	analyze	VERB
american_scientific_journal-3632	339	15	the	the	DET
american_scientific_journal-3632	339	16	evolution	evolution	NOUN
american_scientific_journal-3632	339	17	of	of	ADP
american_scientific_journal-3632	339	18	the	the	DET
american_scientific_journal-3632	339	19	relationship	relationship	NOUN
american_scientific_journal-3632	339	20	between	between	ADP
american_scientific_journal-3632	339	21	these	these	DET
american_scientific_journal-3632	339	22	economic	economic	ADJ
american_scientific_journal-3632	339	23	variables22	variables22	NOUN
american_scientific_journal-3632	339	24	in	in	ADP
american_scientific_journal-3632	339	25	the	the	DET
american_scientific_journal-3632	339	26	same	same	ADJ
american_scientific_journal-3632	339	27	industry23	industry23	NOUN
american_scientific_journal-3632	339	28	.	.	PUNCT
american_scientific_journal-3632	340	1	the	the	DET
american_scientific_journal-3632	340	2	analytical	analytical	ADJ
american_scientific_journal-3632	340	3	results	result	NOUN
american_scientific_journal-3632	340	4	of	of	ADP
american_scientific_journal-3632	340	5	our	our	PRON
american_scientific_journal-3632	340	6	research	research	NOUN
american_scientific_journal-3632	340	7	illustrate	illustrate	VERB
american_scientific_journal-3632	340	8	a	a	DET
american_scientific_journal-3632	340	9	change	change	NOUN
american_scientific_journal-3632	340	10	in	in	ADP
american_scientific_journal-3632	340	11	behaviour	behaviour	NOUN
american_scientific_journal-3632	340	12	over	over	ADP
american_scientific_journal-3632	340	13	time	time	NOUN
american_scientific_journal-3632	340	14	with	with	ADP
american_scientific_journal-3632	340	15	regards	regard	NOUN
american_scientific_journal-3632	340	16	to	to	ADP
american_scientific_journal-3632	340	17	the	the	DET
american_scientific_journal-3632	340	18	evolution	evolution	NOUN
american_scientific_journal-3632	340	19	of	of	ADP
american_scientific_journal-3632	340	20	two	two	NUM
american_scientific_journal-3632	340	21	key	key	ADJ
american_scientific_journal-3632	340	22	economic	economic	ADJ
american_scientific_journal-3632	340	23	variables	variable	NOUN
american_scientific_journal-3632	340	24	(	(	PUNCT
american_scientific_journal-3632	340	25	investment	investment	NOUN
american_scientific_journal-3632	340	26	in	in	ADP
american_scientific_journal-3632	340	27	r&d	r&d	NOUN
american_scientific_journal-3632	340	28	and	and	CCONJ
american_scientific_journal-3632	340	29	in	in	ADP
american_scientific_journal-3632	340	30	capital	capital	NOUN
american_scientific_journal-3632	340	31	)	)	PUNCT
american_scientific_journal-3632	340	32	.	.	PUNCT
american_scientific_journal-3632	341	1	in	in	ADP
american_scientific_journal-3632	341	2	fact	fact	NOUN
american_scientific_journal-3632	341	3	,	,	PUNCT
american_scientific_journal-3632	341	4	we	we	PRON
american_scientific_journal-3632	341	5	have	have	AUX
american_scientific_journal-3632	341	6	recorded	record	VERB
american_scientific_journal-3632	341	7	the	the	DET
american_scientific_journal-3632	341	8	passage	passage	NOUN
american_scientific_journal-3632	341	9	from	from	ADP
american_scientific_journal-3632	341	10	a	a	DET
american_scientific_journal-3632	341	11	predator	predator	NOUN
american_scientific_journal-3632	341	12	-	-	PUNCT
american_scientific_journal-3632	341	13	prey	prey	NOUN
american_scientific_journal-3632	341	14	relationship	relationship	NOUN
american_scientific_journal-3632	341	15	to	to	ADP
american_scientific_journal-3632	341	16	a	a	DET
american_scientific_journal-3632	341	17	more	more	ADV
american_scientific_journal-3632	341	18	mutual	mutual	ADJ
american_scientific_journal-3632	341	19	relationship	relationship	NOUN
american_scientific_journal-3632	341	20	before	before	ADP
american_scientific_journal-3632	341	21	reaching	reach	VERB
american_scientific_journal-3632	341	22	a	a	DET
american_scientific_journal-3632	341	23	stable	stable	ADJ
american_scientific_journal-3632	341	24	long	long	ADJ
american_scientific_journal-3632	341	25	-	-	PUNCT
american_scientific_journal-3632	341	26	term	term	NOUN
american_scientific_journal-3632	341	27	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	341	28	.	.	PUNCT
american_scientific_journal-3632	342	1	we	we	PRON
american_scientific_journal-3632	342	2	explain	explain	VERB
american_scientific_journal-3632	342	3	this	this	DET
american_scientific_journal-3632	342	4	type	type	NOUN
american_scientific_journal-3632	342	5	of	of	ADP
american_scientific_journal-3632	342	6	behaviour	behaviour	NOUN
american_scientific_journal-3632	342	7	mutation	mutation	NOUN
american_scientific_journal-3632	342	8	by	by	ADP
american_scientific_journal-3632	342	9	the	the	DET
american_scientific_journal-3632	342	10	birth	birth	NOUN
american_scientific_journal-3632	342	11	of	of	ADP
american_scientific_journal-3632	342	12	a	a	DET
american_scientific_journal-3632	342	13	new	new	ADJ
american_scientific_journal-3632	342	14	type	type	NOUN
american_scientific_journal-3632	342	15	of	of	ADP
american_scientific_journal-3632	342	16	learning	learn	VERB
american_scientific_journal-3632	342	17	through	through	ADP
american_scientific_journal-3632	342	18	interaction	interaction	NOUN
american_scientific_journal-3632	342	19	in	in	ADP
american_scientific_journal-3632	342	20	the	the	DET
american_scientific_journal-3632	342	21	sense	sense	NOUN
american_scientific_journal-3632	342	22	of	of	ADP
american_scientific_journal-3632	342	23	the	the	DET
american_scientific_journal-3632	342	24	authors	author	NOUN
american_scientific_journal-3632	342	25	in	in	ADP
american_scientific_journal-3632	342	26	[	[	X
american_scientific_journal-3632	342	27	25	25	NUM
american_scientific_journal-3632	342	28	]	]	PUNCT
american_scientific_journal-3632	342	29	which	which	PRON
american_scientific_journal-3632	342	30	meant	mean	VERB
american_scientific_journal-3632	342	31	that	that	SCONJ
american_scientific_journal-3632	342	32	technological	technological	ADJ
american_scientific_journal-3632	342	33	progress	progress	NOUN
american_scientific_journal-3632	342	34	and	and	CCONJ
american_scientific_journal-3632	342	35	accumulation	accumulation	NOUN
american_scientific_journal-3632	342	36	of	of	ADP
american_scientific_journal-3632	342	37	capital	capital	NOUN
american_scientific_journal-3632	342	38	learn	learn	VERB
american_scientific_journal-3632	342	39	to	to	PART
american_scientific_journal-3632	342	40	draw	draw	VERB
american_scientific_journal-3632	342	41	mutual	mutual	ADJ
american_scientific_journal-3632	342	42	profit	profit	NOUN
american_scientific_journal-3632	342	43	from	from	ADP
american_scientific_journal-3632	342	44	each	each	DET
american_scientific_journal-3632	342	45	other	other	ADJ
american_scientific_journal-3632	342	46	as	as	SCONJ
american_scientific_journal-3632	342	47	time	time	NOUN
american_scientific_journal-3632	342	48	goes	go	VERB
american_scientific_journal-3632	342	49	by	by	ADV
american_scientific_journal-3632	342	50	.	.	PUNCT
american_scientific_journal-3632	343	1	by	by	ADP
american_scientific_journal-3632	343	2	basing	base	VERB
american_scientific_journal-3632	343	3	ourselves	ourselves	PRON
american_scientific_journal-3632	343	4	on	on	ADP
american_scientific_journal-3632	343	5	the	the	DET
american_scientific_journal-3632	343	6	numerical	numerical	ADJ
american_scientific_journal-3632	343	7	application	application	NOUN
american_scientific_journal-3632	343	8	of	of	ADP
american_scientific_journal-3632	343	9	results	result	NOUN
american_scientific_journal-3632	343	10	obtained	obtain	VERB
american_scientific_journal-3632	343	11	by	by	ADP
american_scientific_journal-3632	343	12	canon	canon	NOUN
american_scientific_journal-3632	343	13	industry	industry	NOUN
american_scientific_journal-3632	343	14	,	,	PUNCT
american_scientific_journal-3632	343	15	we	we	PRON
american_scientific_journal-3632	343	16	suggest	suggest	VERB
american_scientific_journal-3632	343	17	the	the	DET
american_scientific_journal-3632	343	18	coexistence	coexistence	NOUN
american_scientific_journal-3632	343	19	of	of	ADP
american_scientific_journal-3632	343	20	technological	technological	ADJ
american_scientific_journal-3632	343	21	progress	progress	NOUN
american_scientific_journal-3632	343	22	and	and	CCONJ
american_scientific_journal-3632	343	23	capital	capital	NOUN
american_scientific_journal-3632	343	24	accumulation	accumulation	NOUN
american_scientific_journal-3632	343	25	following	follow	VERB
american_scientific_journal-3632	343	26	two	two	NUM
american_scientific_journal-3632	343	27	forms	form	NOUN
american_scientific_journal-3632	343	28	of	of	ADP
american_scientific_journal-3632	343	29	relationship	relationship	NOUN
american_scientific_journal-3632	343	30	,	,	PUNCT
american_scientific_journal-3632	343	31	competition	competition	NOUN
american_scientific_journal-3632	343	32	and	and	CCONJ
american_scientific_journal-3632	343	33	cooperation	cooperation	NOUN
american_scientific_journal-3632	343	34	.	.	PUNCT
american_scientific_journal-3632	344	1	22	22	NUM
american_scientific_journal-3632	344	2	growth	growth	NOUN
american_scientific_journal-3632	344	3	rate	rate	NOUN
american_scientific_journal-3632	344	4	of	of	ADP
american_scientific_journal-3632	344	5	the	the	DET
american_scientific_journal-3632	344	6	investment	investment	NOUN
american_scientific_journal-3632	344	7	in	in	ADP
american_scientific_journal-3632	344	8	r&d	r&d	NOUN
american_scientific_journal-3632	344	9	,	,	PUNCT
american_scientific_journal-3632	344	10	in	in	ADP
american_scientific_journal-3632	344	11	capital	capital	NOUN
american_scientific_journal-3632	344	12	and	and	CCONJ
american_scientific_journal-3632	344	13	in	in	ADP
american_scientific_journal-3632	344	14	labour	labour	NOUN
american_scientific_journal-3632	344	15	.	.	PUNCT
american_scientific_journal-3632	345	1	23	23	NUM
american_scientific_journal-3632	345	2	canon	canon	NOUN
american_scientific_journal-3632	345	3	industry	industry	NOUN
american_scientific_journal-3632	345	4	.	.	PUNCT
american_scientific_journal-3632	346	1	american	american	ADJ
american_scientific_journal-3632	346	2	scientific	scientific	ADJ
american_scientific_journal-3632	346	3	research	research	PROPN
american_scientific_journal-3632	346	4	journal	journal	NOUN
american_scientific_journal-3632	346	5	for	for	ADP
american_scientific_journal-3632	346	6	engineering	engineering	NOUN
american_scientific_journal-3632	346	7	,	,	PUNCT
american_scientific_journal-3632	346	8	technology	technology	NOUN
american_scientific_journal-3632	346	9	,	,	PUNCT
american_scientific_journal-3632	346	10	and	and	CCONJ
american_scientific_journal-3632	346	11	sciences	science	NOUN
american_scientific_journal-3632	346	12	(	(	PUNCT
american_scientific_journal-3632	346	13	asrjets	asrjet	NOUN
american_scientific_journal-3632	346	14	)	)	PUNCT
american_scientific_journal-3632	346	15	(	(	PUNCT
american_scientific_journal-3632	346	16	2018	2018	NUM
american_scientific_journal-3632	346	17	)	)	PUNCT
american_scientific_journal-3632	346	18	volume	volume	NOUN
american_scientific_journal-3632	346	19	39	39	NUM
american_scientific_journal-3632	346	20	,	,	PUNCT
american_scientific_journal-3632	346	21	no	no	DET
american_scientific_journal-3632	346	22	1	1	NUM
american_scientific_journal-3632	346	23	,	,	PUNCT
american_scientific_journal-3632	346	24	pp	pp	ADJ
american_scientific_journal-3632	346	25	138	138	NUM
american_scientific_journal-3632	346	26	-	-	SYM
american_scientific_journal-3632	346	27	158	158	NUM
american_scientific_journal-3632	346	28	155	155	NUM
american_scientific_journal-3632	346	29	the	the	DET
american_scientific_journal-3632	346	30	labour	labour	NOUN
american_scientific_journal-3632	346	31	growth	growth	NOUN
american_scientific_journal-3632	346	32	rate	rate	NOUN
american_scientific_journal-3632	346	33	also	also	ADV
american_scientific_journal-3632	346	34	plays	play	VERB
american_scientific_journal-3632	346	35	an	an	DET
american_scientific_journal-3632	346	36	important	important	ADJ
american_scientific_journal-3632	346	37	role	role	NOUN
american_scientific_journal-3632	346	38	in	in	ADP
american_scientific_journal-3632	346	39	the	the	DET
american_scientific_journal-3632	346	40	area	area	NOUN
american_scientific_journal-3632	346	41	of	of	ADP
american_scientific_journal-3632	346	42	our	our	PRON
american_scientific_journal-3632	346	43	model	model	NOUN
american_scientific_journal-3632	346	44	.	.	PUNCT
american_scientific_journal-3632	347	1	in	in	ADP
american_scientific_journal-3632	347	2	effect	effect	NOUN
american_scientific_journal-3632	347	3	,	,	PUNCT
american_scientific_journal-3632	347	4	the	the	DET
american_scientific_journal-3632	347	5	growth	growth	NOUN
american_scientific_journal-3632	347	6	rate	rate	NOUN
american_scientific_journal-3632	347	7	of	of	ADP
american_scientific_journal-3632	347	8	both	both	DET
american_scientific_journal-3632	347	9	technological	technological	ADJ
american_scientific_journal-3632	347	10	progress	progress	NOUN
american_scientific_journal-3632	347	11	and	and	CCONJ
american_scientific_journal-3632	347	12	capital	capital	NOUN
american_scientific_journal-3632	347	13	accumulation	accumulation	NOUN
american_scientific_journal-3632	347	14	in	in	ADP
american_scientific_journal-3632	347	15	the	the	DET
american_scientific_journal-3632	347	16	long	long	ADJ
american_scientific_journal-3632	347	17	run	run	NOUN
american_scientific_journal-3632	347	18	is	be	AUX
american_scientific_journal-3632	347	19	controlled	control	VERB
american_scientific_journal-3632	347	20	by	by	ADP
american_scientific_journal-3632	347	21	the	the	DET
american_scientific_journal-3632	347	22	labour	labour	NOUN
american_scientific_journal-3632	347	23	growth	growth	NOUN
american_scientific_journal-3632	347	24	rate	rate	NOUN
american_scientific_journal-3632	347	25	.	.	PUNCT
american_scientific_journal-3632	348	1	in	in	ADP
american_scientific_journal-3632	348	2	addition	addition	NOUN
american_scientific_journal-3632	348	3	,	,	PUNCT
american_scientific_journal-3632	348	4	the	the	DET
american_scientific_journal-3632	348	5	results	result	NOUN
american_scientific_journal-3632	348	6	of	of	ADP
american_scientific_journal-3632	348	7	the	the	DET
american_scientific_journal-3632	348	8	lyapunov	lyapunov	ADJ
american_scientific_journal-3632	348	9	investigation	investigation	NOUN
american_scientific_journal-3632	348	10	show	show	VERB
american_scientific_journal-3632	348	11	the	the	DET
american_scientific_journal-3632	348	12	existence	existence	NOUN
american_scientific_journal-3632	348	13	of	of	ADP
american_scientific_journal-3632	348	14	a	a	DET
american_scientific_journal-3632	348	15	stable	stable	ADJ
american_scientific_journal-3632	348	16	overall	overall	ADJ
american_scientific_journal-3632	348	17	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	348	18	.	.	PUNCT
american_scientific_journal-3632	349	1	it	it	PRON
american_scientific_journal-3632	349	2	should	should	AUX
american_scientific_journal-3632	349	3	be	be	AUX
american_scientific_journal-3632	349	4	noted	note	VERB
american_scientific_journal-3632	349	5	that	that	SCONJ
american_scientific_journal-3632	349	6	if	if	SCONJ
american_scientific_journal-3632	349	7	the	the	DET
american_scientific_journal-3632	349	8	model	model	NOUN
american_scientific_journal-3632	349	9	solution	solution	NOUN
american_scientific_journal-3632	349	10	is	be	AUX
american_scientific_journal-3632	349	11	stable	stable	ADJ
american_scientific_journal-3632	349	12	,	,	PUNCT
american_scientific_journal-3632	349	13	s2	s2	PROPN
american_scientific_journal-3632	349	14	converges	converge	VERB
american_scientific_journal-3632	349	15	to	to	ADP
american_scientific_journal-3632	349	16	an	an	DET
american_scientific_journal-3632	349	17	equilibrium	equilibrium	NOUN
american_scientific_journal-3632	349	18	position	position	NOUN
american_scientific_journal-3632	349	19	which	which	PRON
american_scientific_journal-3632	349	20	shows	show	VERB
american_scientific_journal-3632	349	21	that	that	SCONJ
american_scientific_journal-3632	349	22	the	the	DET
american_scientific_journal-3632	349	23	growth	growth	NOUN
american_scientific_journal-3632	349	24	rates	rate	NOUN
american_scientific_journal-3632	349	25	of	of	ADP
american_scientific_journal-3632	349	26	technology	technology	NOUN
american_scientific_journal-3632	349	27	and	and	CCONJ
american_scientific_journal-3632	349	28	capital	capital	NOUN
american_scientific_journal-3632	349	29	accumulation	accumulation	NOUN
american_scientific_journal-3632	349	30	will	will	AUX
american_scientific_journal-3632	349	31	converge	converge	VERB
american_scientific_journal-3632	349	32	to	to	ADP
american_scientific_journal-3632	349	33	zero	zero	NUM
american_scientific_journal-3632	349	34	and	and	CCONJ
american_scientific_journal-3632	349	35	the	the	DET
american_scientific_journal-3632	349	36	firm	firm	NOUN
american_scientific_journal-3632	349	37	will	will	AUX
american_scientific_journal-3632	349	38	stop	stop	VERB
american_scientific_journal-3632	349	39	growing	grow	VERB
american_scientific_journal-3632	349	40	and	and	CCONJ
american_scientific_journal-3632	349	41	become	become	VERB
american_scientific_journal-3632	349	42	stagnated	stagnate	VERB
american_scientific_journal-3632	349	43	.	.	PUNCT
american_scientific_journal-3632	350	1	6	6	X
american_scientific_journal-3632	350	2	.	.	X
american_scientific_journal-3632	350	3	limitation	limitation	NOUN
american_scientific_journal-3632	350	4	of	of	ADP
american_scientific_journal-3632	350	5	study	study	NOUN
american_scientific_journal-3632	350	6	in	in	ADP
american_scientific_journal-3632	350	7	this	this	DET
american_scientific_journal-3632	350	8	paper	paper	NOUN
american_scientific_journal-3632	350	9	we	we	PRON
american_scientific_journal-3632	350	10	developed	develop	VERB
american_scientific_journal-3632	350	11	a	a	DET
american_scientific_journal-3632	350	12	modified	modify	VERB
american_scientific_journal-3632	350	13	version	version	NOUN
american_scientific_journal-3632	350	14	of	of	ADP
american_scientific_journal-3632	350	15	the	the	DET
american_scientific_journal-3632	350	16	lotka	lotka	PROPN
american_scientific_journal-3632	350	17	-	-	PUNCT
american_scientific_journal-3632	350	18	volterra	volterra	PROPN
american_scientific_journal-3632	350	19	model	model	NOUN
american_scientific_journal-3632	350	20	.	.	PUNCT
american_scientific_journal-3632	351	1	the	the	DET
american_scientific_journal-3632	351	2	results	result	NOUN
american_scientific_journal-3632	351	3	of	of	ADP
american_scientific_journal-3632	351	4	this	this	DET
american_scientific_journal-3632	351	5	study	study	NOUN
american_scientific_journal-3632	351	6	allowed	allow	VERB
american_scientific_journal-3632	351	7	us	we	PRON
american_scientific_journal-3632	351	8	to	to	PART
american_scientific_journal-3632	351	9	have	have	VERB
american_scientific_journal-3632	351	10	a	a	DET
american_scientific_journal-3632	351	11	better	well	ADJ
american_scientific_journal-3632	351	12	understanding	understanding	NOUN
american_scientific_journal-3632	351	13	of	of	ADP
american_scientific_journal-3632	351	14	the	the	DET
american_scientific_journal-3632	351	15	interactive	interactive	ADJ
american_scientific_journal-3632	351	16	relationships	relationship	NOUN
american_scientific_journal-3632	351	17	among	among	ADP
american_scientific_journal-3632	351	18	main	main	ADJ
american_scientific_journal-3632	351	19	economic	economic	ADJ
american_scientific_journal-3632	351	20	variables	variable	NOUN
american_scientific_journal-3632	351	21	.	.	PUNCT
american_scientific_journal-3632	352	1	we	we	PRON
american_scientific_journal-3632	352	2	have	have	AUX
american_scientific_journal-3632	352	3	also	also	ADV
american_scientific_journal-3632	352	4	shown	show	VERB
american_scientific_journal-3632	352	5	the	the	DET
american_scientific_journal-3632	352	6	impact	impact	NOUN
american_scientific_journal-3632	352	7	of	of	ADP
american_scientific_journal-3632	352	8	the	the	DET
american_scientific_journal-3632	352	9	learning	learning	NOUN
american_scientific_journal-3632	352	10	by	by	ADP
american_scientific_journal-3632	352	11	interaction	interaction	NOUN
american_scientific_journal-3632	352	12	on	on	ADP
american_scientific_journal-3632	352	13	the	the	DET
american_scientific_journal-3632	352	14	dynamic	dynamic	ADJ
american_scientific_journal-3632	352	15	link	link	NOUN
american_scientific_journal-3632	352	16	between	between	ADP
american_scientific_journal-3632	352	17	investment	investment	NOUN
american_scientific_journal-3632	352	18	in	in	ADP
american_scientific_journal-3632	352	19	r&d	r&d	NOUN
american_scientific_journal-3632	352	20	and	and	CCONJ
american_scientific_journal-3632	352	21	capital	capital	NOUN
american_scientific_journal-3632	352	22	investment	investment	NOUN
american_scientific_journal-3632	352	23	.	.	PUNCT
american_scientific_journal-3632	353	1	the	the	DET
american_scientific_journal-3632	353	2	numerical	numerical	ADJ
american_scientific_journal-3632	353	3	method	method	NOUN
american_scientific_journal-3632	353	4	used	use	VERB
american_scientific_journal-3632	353	5	in	in	ADP
american_scientific_journal-3632	353	6	this	this	DET
american_scientific_journal-3632	353	7	study	study	NOUN
american_scientific_journal-3632	353	8	to	to	PART
american_scientific_journal-3632	353	9	find	find	VERB
american_scientific_journal-3632	353	10	a	a	DET
american_scientific_journal-3632	353	11	global	global	ADJ
american_scientific_journal-3632	353	12	asymptotic	asymptotic	ADJ
american_scientific_journal-3632	353	13	solution	solution	NOUN
american_scientific_journal-3632	353	14	did	do	AUX
american_scientific_journal-3632	353	15	n’t	not	PART
american_scientific_journal-3632	353	16	take	take	VERB
american_scientific_journal-3632	353	17	into	into	ADP
american_scientific_journal-3632	353	18	account	account	NOUN
american_scientific_journal-3632	353	19	possible	possible	ADJ
american_scientific_journal-3632	353	20	chaotic	chaotic	ADJ
american_scientific_journal-3632	353	21	system	system	NOUN
american_scientific_journal-3632	353	22	.	.	PUNCT
american_scientific_journal-3632	354	1	since	since	SCONJ
american_scientific_journal-3632	354	2	,	,	PUNCT
american_scientific_journal-3632	354	3	the	the	DET
american_scientific_journal-3632	354	4	r&d	r&d	NOUN
american_scientific_journal-3632	354	5	model	model	NOUN
american_scientific_journal-3632	354	6	is	be	AUX
american_scientific_journal-3632	354	7	characterised	characterise	VERB
american_scientific_journal-3632	354	8	by	by	ADP
american_scientific_journal-3632	354	9	a	a	DET
american_scientific_journal-3632	354	10	high	high	ADJ
american_scientific_journal-3632	354	11	degree	degree	NOUN
american_scientific_journal-3632	354	12	of	of	ADP
american_scientific_journal-3632	354	13	uncertainty	uncertainty	NOUN
american_scientific_journal-3632	354	14	due	due	ADP
american_scientific_journal-3632	354	15	to	to	ADP
american_scientific_journal-3632	354	16	the	the	DET
american_scientific_journal-3632	354	17	irregular	irregular	ADJ
american_scientific_journal-3632	354	18	events	event	NOUN
american_scientific_journal-3632	354	19	in	in	ADP
american_scientific_journal-3632	354	20	the	the	DET
american_scientific_journal-3632	354	21	market	market	NOUN
american_scientific_journal-3632	354	22	,	,	PUNCT
american_scientific_journal-3632	354	23	we	we	PRON
american_scientific_journal-3632	354	24	will	will	AUX
american_scientific_journal-3632	354	25	try	try	VERB
american_scientific_journal-3632	354	26	,	,	PUNCT
american_scientific_journal-3632	354	27	in	in	ADP
american_scientific_journal-3632	354	28	future	future	ADJ
american_scientific_journal-3632	354	29	studies	study	NOUN
american_scientific_journal-3632	354	30	to	to	PART
american_scientific_journal-3632	354	31	consider	consider	VERB
american_scientific_journal-3632	354	32	financial	financial	ADJ
american_scientific_journal-3632	354	33	crises	crisis	NOUN
american_scientific_journal-3632	354	34	when	when	SCONJ
american_scientific_journal-3632	354	35	adopting	adopt	VERB
american_scientific_journal-3632	354	36	the	the	DET
american_scientific_journal-3632	354	37	lotka	lotka	PROPN
american_scientific_journal-3632	354	38	volterra	volterra	PROPN
american_scientific_journal-3632	354	39	numerical	numerical	PROPN
american_scientific_journal-3632	354	40	simulation	simulation	PROPN
american_scientific_journal-3632	354	41	method	method	NOUN
american_scientific_journal-3632	354	42	to	to	PART
american_scientific_journal-3632	354	43	determine	determine	VERB
american_scientific_journal-3632	354	44	the	the	DET
american_scientific_journal-3632	354	45	parameters	parameter	NOUN
american_scientific_journal-3632	354	46	of	of	ADP
american_scientific_journal-3632	354	47	the	the	DET
american_scientific_journal-3632	354	48	model	model	NOUN
american_scientific_journal-3632	354	49	and	and	CCONJ
american_scientific_journal-3632	354	50	its	its	PRON
american_scientific_journal-3632	354	51	chaotic	chaotic	ADJ
american_scientific_journal-3632	354	52	solution	solution	NOUN
american_scientific_journal-3632	354	53	.	.	PUNCT
american_scientific_journal-3632	355	1	this	this	PRON
american_scientific_journal-3632	355	2	will	will	AUX
american_scientific_journal-3632	355	3	allow	allow	VERB
american_scientific_journal-3632	355	4	the	the	DET
american_scientific_journal-3632	355	5	model	model	NOUN
american_scientific_journal-3632	355	6	to	to	PART
american_scientific_journal-3632	355	7	better	well	ADV
american_scientific_journal-3632	355	8	reflect	reflect	VERB
american_scientific_journal-3632	355	9	the	the	DET
american_scientific_journal-3632	355	10	actual	actual	ADJ
american_scientific_journal-3632	355	11	situation	situation	NOUN
american_scientific_journal-3632	355	12	as	as	ADV
american_scientific_journal-3632	355	13	well	well	ADV
american_scientific_journal-3632	355	14	as	as	ADP
american_scientific_journal-3632	355	15	investigate	investigate	VERB
american_scientific_journal-3632	355	16	new	new	ADJ
american_scientific_journal-3632	355	17	dynamic	dynamic	ADJ
american_scientific_journal-3632	355	18	relationships	relationship	NOUN
american_scientific_journal-3632	355	19	with	with	ADP
american_scientific_journal-3632	355	20	other	other	ADJ
american_scientific_journal-3632	355	21	economic	economic	ADJ
american_scientific_journal-3632	355	22	variables	variable	NOUN
american_scientific_journal-3632	355	23	.	.	PUNCT
american_scientific_journal-3632	356	1	references	reference	NOUN
american_scientific_journal-3632	356	2	[	[	X
american_scientific_journal-3632	356	3	1	1	NUM
american_scientific_journal-3632	356	4	]	]	PUNCT
american_scientific_journal-3632	356	5	r.	r.	PROPN
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american_scientific_journal-3632	356	7	and	and	CCONJ
american_scientific_journal-3632	356	8	s.	s.	PROPN
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american_scientific_journal-3632	356	10	,	,	PUNCT
american_scientific_journal-3632	356	11	an	an	DET
american_scientific_journal-3632	356	12	evolutionary	evolutionary	ADJ
american_scientific_journal-3632	356	13	theory	theory	NOUN
american_scientific_journal-3632	356	14	of	of	ADP
american_scientific_journal-3632	356	15	economic	economic	ADJ
american_scientific_journal-3632	356	16	change	change	NOUN
american_scientific_journal-3632	356	17	,	,	PUNCT
american_scientific_journal-3632	356	18	cambridge	cambridge	PROPN
american_scientific_journal-3632	356	19	,	,	PUNCT
american_scientific_journal-3632	356	20	massachussetts	massachussetts	PROPN
american_scientific_journal-3632	356	21	and	and	CCONJ
american_scientific_journal-3632	356	22	london	london	PROPN
american_scientific_journal-3632	356	23	,	,	PUNCT
american_scientific_journal-3632	356	24	england	england	PROPN
american_scientific_journal-3632	356	25	:	:	PUNCT
american_scientific_journal-3632	356	26	the	the	DET
american_scientific_journal-3632	356	27	belknap	belknap	PROPN
american_scientific_journal-3632	356	28	press	press	PROPN
american_scientific_journal-3632	356	29	of	of	ADP
american_scientific_journal-3632	356	30	harvard	harvard	PROPN
american_scientific_journal-3632	356	31	university	university	PROPN
american_scientific_journal-3632	356	32	press	press	PROPN
american_scientific_journal-3632	356	33	cambridge	cambridge	PROPN
american_scientific_journal-3632	356	34	,	,	PUNCT
american_scientific_journal-3632	356	35	1982	1982	NUM
american_scientific_journal-3632	356	36	.	.	PUNCT
american_scientific_journal-3632	357	1	[	[	X
american_scientific_journal-3632	357	2	2	2	X
american_scientific_journal-3632	357	3	]	]	PUNCT
american_scientific_journal-3632	357	4	e.	e.	PROPN
american_scientific_journal-3632	357	5	s.	s.	PROPN
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american_scientific_journal-3632	357	7	,	,	PUNCT
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american_scientific_journal-3632	357	9	economics	economic	NOUN
american_scientific_journal-3632	357	10	:	:	PUNCT
american_scientific_journal-3632	357	11	post	post	ADJ
american_scientific_journal-3632	357	12	-	-	ADJ
american_scientific_journal-3632	357	13	schumpeterian	schumpeterian	ADJ
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american_scientific_journal-3632	357	15	.	.	PUNCT
american_scientific_journal-3632	357	16	,	,	PUNCT
american_scientific_journal-3632	357	17	i.	i.	PROPN
american_scientific_journal-3632	357	18	e.	e.	PROPN
american_scientific_journal-3632	357	19	edition	edition	PROPN
american_scientific_journal-3632	357	20	,	,	PUNCT
american_scientific_journal-3632	357	21	ed	ed	NOUN
american_scientific_journal-3632	357	22	.	.	PROPN
american_scientific_journal-3632	357	23	,	,	PUNCT
american_scientific_journal-3632	357	24	london	london	PROPN
american_scientific_journal-3632	357	25	:	:	PUNCT
american_scientific_journal-3632	357	26	thomson	thomson	PROPN
american_scientific_journal-3632	357	27	learning	learning	PROPN
american_scientific_journal-3632	357	28	,	,	PUNCT
american_scientific_journal-3632	357	29	1994	1994	NUM
american_scientific_journal-3632	357	30	,	,	PUNCT
american_scientific_journal-3632	357	31	pp	pp	ADJ
american_scientific_journal-3632	357	32	.	.	PUNCT
american_scientific_journal-3632	358	1	1	1	NUM
american_scientific_journal-3632	358	2	-	-	SYM
american_scientific_journal-3632	358	3	250	250	NUM
american_scientific_journal-3632	358	4	.	.	PUNCT
american_scientific_journal-3632	359	1	[	[	X
american_scientific_journal-3632	359	2	3	3	X
american_scientific_journal-3632	359	3	]	]	X
american_scientific_journal-3632	359	4	m.	m.	NOUN
american_scientific_journal-3632	359	5	yildizoglu	yildizoglu	NOUN
american_scientific_journal-3632	359	6	,	,	PUNCT
american_scientific_journal-3632	359	7	“	"	PUNCT
american_scientific_journal-3632	359	8	modeling	model	VERB
american_scientific_journal-3632	359	9	adaptive	adaptive	ADJ
american_scientific_journal-3632	359	10	learning	learning	NOUN
american_scientific_journal-3632	359	11	:	:	PUNCT
american_scientific_journal-3632	359	12	r&d	r&d	NOUN
american_scientific_journal-3632	359	13	strategies	strategy	NOUN
american_scientific_journal-3632	359	14	in	in	ADP
american_scientific_journal-3632	359	15	the	the	DET
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american_scientific_journal-3632	359	17	of	of	ADP
american_scientific_journal-3632	359	18	nelson	nelson	PROPN
american_scientific_journal-3632	359	19	&	&	CCONJ
american_scientific_journal-3632	359	20	winter	winter	PROPN
american_scientific_journal-3632	359	21	(	(	PUNCT
american_scientific_journal-3632	359	22	1982	1982	NUM
american_scientific_journal-3632	359	23	)	)	PUNCT
american_scientific_journal-3632	359	24	,	,	PUNCT
american_scientific_journal-3632	359	25	”	"	PUNCT
american_scientific_journal-3632	359	26	frede	frede	NOUN
american_scientific_journal-3632	359	27	-	-	PUNCT
american_scientific_journal-3632	359	28	e3i	e3i	NOUN
american_scientific_journal-3632	359	29	.	.	PUNCT
american_scientific_journal-3632	359	30	,	,	PUNCT
american_scientific_journal-3632	359	31	bordeaux	bordeaux	NOUN
american_scientific_journal-3632	359	32	,	,	PUNCT
american_scientific_journal-3632	359	33	2001	2001	NUM
american_scientific_journal-3632	359	34	.	.	PUNCT
american_scientific_journal-3632	360	1	[	[	X
american_scientific_journal-3632	360	2	4	4	X
american_scientific_journal-3632	360	3	]	]	X
american_scientific_journal-3632	360	4	s.	s.	PROPN
american_scientific_journal-3632	360	5	redding	redding	PROPN
american_scientific_journal-3632	360	6	,	,	PUNCT
american_scientific_journal-3632	360	7	“	"	PUNCT
american_scientific_journal-3632	360	8	the	the	DET
american_scientific_journal-3632	360	9	low	low	ADJ
american_scientific_journal-3632	360	10	-	-	PUNCT
american_scientific_journal-3632	360	11	skill	skill	NOUN
american_scientific_journal-3632	360	12	,	,	PUNCT
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american_scientific_journal-3632	360	14	-	-	PUNCT
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american_scientific_journal-3632	360	16	trap	trap	NOUN
american_scientific_journal-3632	360	17	:	:	PUNCT
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american_scientific_journal-3632	360	20	between	between	ADP
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american_scientific_journal-3632	360	22	capital	capital	NOUN
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american_scientific_journal-3632	360	24	r&d	r&d	NOUN
american_scientific_journal-3632	360	25	,	,	PUNCT
american_scientific_journal-3632	360	26	”	"	PUNCT
american_scientific_journal-3632	360	27	economic	economic	ADJ
american_scientific_journal-3632	360	28	journal	journal	NOUN
american_scientific_journal-3632	360	29	,	,	PUNCT
american_scientific_journal-3632	360	30	vol	vol	NOUN
american_scientific_journal-3632	360	31	.	.	PROPN
american_scientific_journal-3632	360	32	106	106	NUM
american_scientific_journal-3632	360	33	,	,	PUNCT
american_scientific_journal-3632	360	34	pp	pp	ADJ
american_scientific_journal-3632	360	35	.	.	PUNCT
american_scientific_journal-3632	361	1	458	458	NUM
american_scientific_journal-3632	361	2	-	-	SYM
american_scientific_journal-3632	361	3	470	470	NUM
american_scientific_journal-3632	361	4	,	,	PUNCT
american_scientific_journal-3632	361	5	1996	1996	NUM
american_scientific_journal-3632	361	6	.	.	PUNCT
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american_scientific_journal-3632	362	2	5	5	NUM
american_scientific_journal-3632	362	3	]	]	PUNCT
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american_scientific_journal-3632	362	5	h.	h.	PROPN
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american_scientific_journal-3632	362	7	,	,	PUNCT
american_scientific_journal-3632	362	8	c.	c.	PROPN
american_scientific_journal-3632	362	9	s.	s.	PROPN
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american_scientific_journal-3632	362	11	and	and	CCONJ
american_scientific_journal-3632	362	12	b.	b.	PROPN
american_scientific_journal-3632	362	13	k.	k.	PROPN
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american_scientific_journal-3632	362	15	,	,	PUNCT
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american_scientific_journal-3632	362	19	between	between	ADP
american_scientific_journal-3632	362	20	mobile	mobile	NOUN
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american_scientific_journal-3632	362	22	desktop	desktop	NOUN
american_scientific_journal-3632	362	23	personal	personal	ADJ
american_scientific_journal-3632	362	24	computer	computer	NOUN
american_scientific_journal-3632	362	25	lcd	lcd	NOUN
american_scientific_journal-3632	362	26	panels	panel	NOUN
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american_scientific_journal-3632	362	33	.	.	PUNCT
american_scientific_journal-3632	363	1	,	,	PUNCT
american_scientific_journal-3632	363	2	”	"	PUNCT
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american_scientific_journal-3632	363	4	of	of	ADP
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american_scientific_journal-3632	363	6	,	,	PUNCT
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american_scientific_journal-3632	363	8	&	&	CCONJ
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american_scientific_journal-3632	363	10	,	,	PUNCT
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american_scientific_journal-3632	363	12	.	.	PROPN
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american_scientific_journal-3632	363	14	,	,	PUNCT
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american_scientific_journal-3632	363	17	3	3	NUM
american_scientific_journal-3632	363	18	,	,	PUNCT
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american_scientific_journal-3632	363	20	.	.	PUNCT
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american_scientific_journal-3632	364	2	-	-	SYM
american_scientific_journal-3632	364	3	291	291	NUM
american_scientific_journal-3632	364	4	,	,	PUNCT
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american_scientific_journal-3632	364	6	.	.	PUNCT
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american_scientific_journal-3632	365	8	y.	y.	PROPN
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american_scientific_journal-3632	365	10	,	,	PUNCT
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american_scientific_journal-3632	365	14	in	in	ADP
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american_scientific_journal-3632	365	19	,	,	PUNCT
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american_scientific_journal-3632	365	23	,	,	PUNCT
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american_scientific_journal-3632	365	25	.	.	PROPN
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american_scientific_journal-3632	365	27	,	,	PUNCT
american_scientific_journal-3632	365	28	no	no	INTJ
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american_scientific_journal-3632	365	30	22	22	NUM
american_scientific_journal-3632	365	31	,	,	PUNCT
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american_scientific_journal-3632	365	33	.	.	PUNCT
american_scientific_journal-3632	365	34	2969	2969	NUM
american_scientific_journal-3632	365	35	-	-	SYM
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american_scientific_journal-3632	365	37	,	,	PUNCT
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american_scientific_journal-3632	366	6	,	,	PUNCT
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american_scientific_journal-3632	366	8	a	a	DET
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american_scientific_journal-3632	366	10	to	to	ADP
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american_scientific_journal-3632	366	16	,	,	PUNCT
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american_scientific_journal-3632	366	20	of	of	ADP
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american_scientific_journal-3632	366	22	,	,	PUNCT
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american_scientific_journal-3632	366	24	.	.	PROPN
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american_scientific_journal-3632	366	26	,	,	PUNCT
american_scientific_journal-3632	366	27	no	no	INTJ
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american_scientific_journal-3632	366	29	1	1	NUM
american_scientific_journal-3632	366	30	,	,	PUNCT
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american_scientific_journal-3632	366	32	.	.	PUNCT
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american_scientific_journal-3632	367	2	-	-	SYM
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american_scientific_journal-3632	367	4	,	,	PUNCT
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american_scientific_journal-3632	367	6	.	.	PUNCT
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american_scientific_journal-3632	368	12	,	,	PUNCT
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american_scientific_journal-3632	368	20	,	,	PUNCT
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american_scientific_journal-3632	368	22	.	.	PUNCT
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american_scientific_journal-3632	369	7	,	,	PUNCT
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american_scientific_journal-3632	369	9	,	,	PUNCT
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american_scientific_journal-3632	369	20	,	,	PUNCT
american_scientific_journal-3632	369	21	no	no	DET
american_scientific_journal-3632	369	22	1	1	NUM
american_scientific_journal-3632	369	23	,	,	PUNCT
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american_scientific_journal-3632	369	26	-	-	SYM
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american_scientific_journal-3632	370	12	,	,	PUNCT
american_scientific_journal-3632	370	13	“	"	PUNCT
american_scientific_journal-3632	370	14	evolutionary	evolutionary	ADJ
american_scientific_journal-3632	370	15	cycling	cycling	NOUN
american_scientific_journal-3632	370	16	in	in	ADP
american_scientific_journal-3632	370	17	predator	predator	NOUN
american_scientific_journal-3632	370	18	-	-	PUNCT
american_scientific_journal-3632	370	19	prey	prey	NOUN
american_scientific_journal-3632	370	20	interactions	interaction	NOUN
american_scientific_journal-3632	370	21	:	:	PUNCT
american_scientific_journal-3632	370	22	population	population	NOUN
american_scientific_journal-3632	370	23	dynamics	dynamic	NOUN
american_scientific_journal-3632	370	24	and	and	CCONJ
american_scientific_journal-3632	370	25	the	the	DET
american_scientific_journal-3632	370	26	red	red	PROPN
american_scientific_journal-3632	370	27	queen	queen	PROPN
american_scientific_journal-3632	370	28	,	,	PUNCT
american_scientific_journal-3632	370	29	”	"	PUNCT
american_scientific_journal-3632	370	30	journal	journal	NOUN
american_scientific_journal-3632	370	31	of	of	ADP
american_scientific_journal-3632	370	32	theoretical	theoretical	ADJ
american_scientific_journal-3632	370	33	biology	biology	NOUN
american_scientific_journal-3632	370	34	,	,	PUNCT
american_scientific_journal-3632	370	35	vol	vol	NOUN
american_scientific_journal-3632	370	36	.	.	PROPN
american_scientific_journal-3632	370	37	176	176	NUM
american_scientific_journal-3632	370	38	,	,	PUNCT
american_scientific_journal-3632	370	39	no	no	INTJ
american_scientific_journal-3632	370	40	.	.	NOUN
american_scientific_journal-3632	370	41	1	1	NUM
american_scientific_journal-3632	370	42	,	,	PUNCT
american_scientific_journal-3632	370	43	pp	pp	ADJ
american_scientific_journal-3632	370	44	.	.	PUNCT
american_scientific_journal-3632	371	1	91	91	NUM
american_scientific_journal-3632	371	2	-	-	SYM
american_scientific_journal-3632	371	3	102	102	NUM
american_scientific_journal-3632	371	4	,	,	PUNCT
american_scientific_journal-3632	371	5	1995	1995	NUM
american_scientific_journal-3632	371	6	.	.	PUNCT
american_scientific_journal-3632	372	1	[	[	X
american_scientific_journal-3632	372	2	10	10	NUM
american_scientific_journal-3632	372	3	]	]	PUNCT
american_scientific_journal-3632	372	4	a.	a.	NOUN
american_scientific_journal-3632	372	5	castiaux	castiaux	PROPN
american_scientific_journal-3632	372	6	,	,	PUNCT
american_scientific_journal-3632	372	7	“	"	PUNCT
american_scientific_journal-3632	372	8	radical	radical	ADJ
american_scientific_journal-3632	372	9	innovation	innovation	NOUN
american_scientific_journal-3632	372	10	in	in	ADP
american_scientific_journal-3632	372	11	established	establish	VERB
american_scientific_journal-3632	372	12	organizations	organization	NOUN
american_scientific_journal-3632	372	13	:	:	PUNCT
american_scientific_journal-3632	372	14	being	be	AUX
american_scientific_journal-3632	372	15	a	a	DET
american_scientific_journal-3632	372	16	knowledge	knowledge	NOUN
american_scientific_journal-3632	372	17	predator	predator	NOUN
american_scientific_journal-3632	372	18	,	,	PUNCT
american_scientific_journal-3632	372	19	”	"	PUNCT
american_scientific_journal-3632	372	20	journal	journal	NOUN
american_scientific_journal-3632	372	21	of	of	ADP
american_scientific_journal-3632	372	22	engineering	engineering	NOUN
american_scientific_journal-3632	372	23	and	and	CCONJ
american_scientific_journal-3632	372	24	technology	technology	NOUN
american_scientific_journal-3632	372	25	management	management	NOUN
american_scientific_journal-3632	372	26	,	,	PUNCT
american_scientific_journal-3632	372	27	vol	vol	NOUN
american_scientific_journal-3632	372	28	.	.	PROPN
american_scientific_journal-3632	372	29	24	24	NUM
american_scientific_journal-3632	372	30	,	,	PUNCT
american_scientific_journal-3632	372	31	no	no	INTJ
american_scientific_journal-3632	372	32	.	.	NOUN
american_scientific_journal-3632	372	33	1	1	NUM
american_scientific_journal-3632	372	34	-	-	SYM
american_scientific_journal-3632	372	35	2	2	NUM
american_scientific_journal-3632	372	36	,	,	PUNCT
american_scientific_journal-3632	372	37	pp	pp	ADJ
american_scientific_journal-3632	372	38	.	.	PUNCT
american_scientific_journal-3632	373	1	36	36	NUM
american_scientific_journal-3632	373	2	-	-	SYM
american_scientific_journal-3632	373	3	52	52	NUM
american_scientific_journal-3632	373	4	,	,	PUNCT
american_scientific_journal-3632	373	5	2007	2007	NUM
american_scientific_journal-3632	373	6	.	.	PUNCT
american_scientific_journal-3632	374	1	[	[	X
american_scientific_journal-3632	374	2	11	11	NUM
american_scientific_journal-3632	374	3	]	]	PUNCT
american_scientific_journal-3632	374	4	s.	s.	PROPN
american_scientific_journal-3632	374	5	morris	morris	PROPN
american_scientific_journal-3632	374	6	and	and	CCONJ
american_scientific_journal-3632	374	7	d.	d.	PROPN
american_scientific_journal-3632	374	8	pratt	pratt	PROPN
american_scientific_journal-3632	374	9	,	,	PUNCT
american_scientific_journal-3632	374	10	“	"	PUNCT
american_scientific_journal-3632	374	11	analysis	analysis	NOUN
american_scientific_journal-3632	374	12	of	of	ADP
american_scientific_journal-3632	374	13	the	the	DET
american_scientific_journal-3632	374	14	lotka	lotka	PROPN
american_scientific_journal-3632	374	15	-	-	PUNCT
american_scientific_journal-3632	374	16	volterra	volterra	PROPN
american_scientific_journal-3632	374	17	competition	competition	NOUN
american_scientific_journal-3632	374	18	equations	equation	NOUN
american_scientific_journal-3632	374	19	as	as	ADP
american_scientific_journal-3632	374	20	a	a	DET
american_scientific_journal-3632	374	21	technological	technological	ADJ
american_scientific_journal-3632	374	22	substitution	substitution	NOUN
american_scientific_journal-3632	374	23	model	model	NOUN
american_scientific_journal-3632	374	24	,	,	PUNCT
american_scientific_journal-3632	374	25	”	"	PUNCT
american_scientific_journal-3632	374	26	technological	technological	ADJ
american_scientific_journal-3632	374	27	forecasting	forecasting	NOUN
american_scientific_journal-3632	374	28	and	and	CCONJ
american_scientific_journal-3632	374	29	social	social	ADJ
american_scientific_journal-3632	374	30	change	change	NOUN
american_scientific_journal-3632	374	31	,	,	PUNCT
american_scientific_journal-3632	374	32	vol	vol	NOUN
american_scientific_journal-3632	374	33	.	.	PROPN
american_scientific_journal-3632	375	1	70	70	NUM
american_scientific_journal-3632	375	2	,	,	PUNCT
american_scientific_journal-3632	375	3	no	no	INTJ
american_scientific_journal-3632	375	4	.	.	NOUN
american_scientific_journal-3632	375	5	2	2	NUM
american_scientific_journal-3632	375	6	,	,	PUNCT
american_scientific_journal-3632	375	7	pp	pp	ADJ
american_scientific_journal-3632	375	8	.	.	PUNCT
american_scientific_journal-3632	376	1	103	103	NUM
american_scientific_journal-3632	376	2	-	-	SYM
american_scientific_journal-3632	376	3	133	133	NUM
american_scientific_journal-3632	376	4	,	,	PUNCT
american_scientific_journal-3632	376	5	2003	2003	NUM
american_scientific_journal-3632	376	6	.	.	PUNCT
american_scientific_journal-3632	377	1	[	[	X
american_scientific_journal-3632	377	2	12	12	NUM
american_scientific_journal-3632	377	3	]	]	PUNCT
american_scientific_journal-3632	377	4	t.	t.	PROPN
american_scientific_journal-3632	377	5	modis	modis	PROPN
american_scientific_journal-3632	377	6	,	,	PUNCT
american_scientific_journal-3632	377	7	“	"	PUNCT
american_scientific_journal-3632	377	8	technological	technological	ADJ
american_scientific_journal-3632	377	9	forecasting	forecasting	NOUN
american_scientific_journal-3632	377	10	at	at	ADP
american_scientific_journal-3632	377	11	the	the	DET
american_scientific_journal-3632	377	12	stock	stock	NOUN
american_scientific_journal-3632	377	13	market	market	NOUN
american_scientific_journal-3632	377	14	,	,	PUNCT
american_scientific_journal-3632	377	15	”	"	PUNCT
american_scientific_journal-3632	377	16	technological	technological	ADJ
american_scientific_journal-3632	377	17	forecasting	forecasting	NOUN
american_scientific_journal-3632	377	18	and	and	CCONJ
american_scientific_journal-3632	377	19	social	social	ADJ
american_scientific_journal-3632	377	20	change	change	NOUN
american_scientific_journal-3632	377	21	,	,	PUNCT
american_scientific_journal-3632	377	22	vol	vol	NOUN
american_scientific_journal-3632	377	23	.	.	PROPN
american_scientific_journal-3632	378	1	62	62	NUM
american_scientific_journal-3632	378	2	,	,	PUNCT
american_scientific_journal-3632	378	3	no	no	INTJ
american_scientific_journal-3632	378	4	.	.	NOUN
american_scientific_journal-3632	378	5	3	3	NUM
american_scientific_journal-3632	378	6	,	,	PUNCT
american_scientific_journal-3632	378	7	pp	pp	ADJ
american_scientific_journal-3632	378	8	.	.	PUNCT
american_scientific_journal-3632	379	1	173	173	NUM
american_scientific_journal-3632	379	2	-	-	SYM
american_scientific_journal-3632	379	3	202	202	NUM
american_scientific_journal-3632	379	4	,	,	PUNCT
american_scientific_journal-3632	379	5	1999	1999	NUM
american_scientific_journal-3632	379	6	.	.	PUNCT
american_scientific_journal-3632	380	1	[	[	X
american_scientific_journal-3632	380	2	13	13	NUM
american_scientific_journal-3632	380	3	]	]	PUNCT
american_scientific_journal-3632	380	4	s.	s.	PROPN
american_scientific_journal-3632	380	5	j.	j.	PROPN
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american_scientific_journal-3632	380	7	,	,	PUNCT
american_scientific_journal-3632	380	8	d.	d.	PROPN
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american_scientific_journal-3632	380	10	lee	lee	PROPN
american_scientific_journal-3632	380	11	and	and	CCONJ
american_scientific_journal-3632	380	12	h.	h.	PROPN
american_scientific_journal-3632	380	13	s.	s.	PROPN
american_scientific_journal-3632	380	14	oh	oh	INTJ
american_scientific_journal-3632	380	15	,	,	PUNCT
american_scientific_journal-3632	380	16	“	"	PUNCT
american_scientific_journal-3632	380	17	technological	technological	ADJ
american_scientific_journal-3632	380	18	forecasting	forecasting	NOUN
american_scientific_journal-3632	380	19	at	at	ADP
american_scientific_journal-3632	380	20	the	the	DET
american_scientific_journal-3632	380	21	korean	korean	ADJ
american_scientific_journal-3632	380	22	stock	stock	NOUN
american_scientific_journal-3632	380	23	market	market	NOUN
american_scientific_journal-3632	380	24	:	:	PUNCT
american_scientific_journal-3632	380	25	a	a	DET
american_scientific_journal-3632	380	26	dynamic	dynamic	ADJ
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american_scientific_journal-3632	380	28	analysis	analysis	NOUN
american_scientific_journal-3632	380	29	using	use	VERB
american_scientific_journal-3632	380	30	lotka	lotka	PROPN
american_scientific_journal-3632	380	31	-	-	PUNCT
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american_scientific_journal-3632	380	34	,	,	PUNCT
american_scientific_journal-3632	380	35	”	"	PUNCT
american_scientific_journal-3632	380	36	technological	technological	ADJ
american_scientific_journal-3632	380	37	forecasting	forecasting	NOUN
american_scientific_journal-3632	380	38	and	and	CCONJ
american_scientific_journal-3632	380	39	social	social	ADJ
american_scientific_journal-3632	380	40	,	,	PUNCT
american_scientific_journal-3632	380	41	vol	vol	NOUN
american_scientific_journal-3632	380	42	.	.	PROPN
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american_scientific_journal-3632	380	44	,	,	PUNCT
american_scientific_journal-3632	380	45	no	no	INTJ
american_scientific_journal-3632	380	46	.	.	NOUN
american_scientific_journal-3632	380	47	8	8	NUM
american_scientific_journal-3632	380	48	,	,	PUNCT
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american_scientific_journal-3632	380	50	.	.	PUNCT
american_scientific_journal-3632	381	1	1044	1044	NUM
american_scientific_journal-3632	381	2	-	-	SYM
american_scientific_journal-3632	381	3	1057	1057	NUM
american_scientific_journal-3632	381	4	,	,	PUNCT
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american_scientific_journal-3632	381	6	.	.	PUNCT
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american_scientific_journal-3632	382	2	14	14	NUM
american_scientific_journal-3632	382	3	]	]	X
american_scientific_journal-3632	382	4	s.	s.	PROPN
american_scientific_journal-3632	382	5	m.	m.	PROPN
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american_scientific_journal-3632	382	7	and	and	CCONJ
american_scientific_journal-3632	382	8	b.	b.	PROPN
american_scientific_journal-3632	382	9	a.	a.	PROPN
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american_scientific_journal-3632	382	11	,	,	PUNCT
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american_scientific_journal-3632	382	13	competitive	competitive	ADJ
american_scientific_journal-3632	382	14	dynamics	dynamic	NOUN
american_scientific_journal-3632	382	15	of	of	ADP
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american_scientific_journal-3632	382	18	,	,	PUNCT
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american_scientific_journal-3632	382	23	dynamics	dynamic	NOUN
american_scientific_journal-3632	382	24	and	and	CCONJ
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american_scientific_journal-3632	382	26	,	,	PUNCT
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american_scientific_journal-3632	382	28	.	.	PROPN
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american_scientific_journal-3632	383	2	,	,	PUNCT
american_scientific_journal-3632	383	3	no	no	INTJ
american_scientific_journal-3632	383	4	.	.	NOUN
american_scientific_journal-3632	383	5	11	11	NUM
american_scientific_journal-3632	383	6	,	,	PUNCT
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american_scientific_journal-3632	383	8	.	.	PUNCT
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american_scientific_journal-3632	384	2	-	-	SYM
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american_scientific_journal-3632	384	4	,	,	PUNCT
american_scientific_journal-3632	384	5	2003	2003	NUM
american_scientific_journal-3632	384	6	.	.	PUNCT
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american_scientific_journal-3632	385	4	j.	j.	PROPN
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american_scientific_journal-3632	385	6	,	,	PUNCT
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american_scientific_journal-3632	385	13	,	,	PUNCT
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american_scientific_journal-3632	385	15	a	a	DET
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american_scientific_journal-3632	385	18	analysis	analysis	NOUN
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american_scientific_journal-3632	385	21	korean	korean	ADJ
american_scientific_journal-3632	385	22	mobile	mobile	ADJ
american_scientific_journal-3632	385	23	phone	phone	NOUN
american_scientific_journal-3632	385	24	market	market	NOUN
american_scientific_journal-3632	385	25	using	use	VERB
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american_scientific_journal-3632	385	27	diffusion	diffusion	NOUN
american_scientific_journal-3632	385	28	model	model	NOUN
american_scientific_journal-3632	385	29	,	,	PUNCT
american_scientific_journal-3632	385	30	”	"	PUNCT
american_scientific_journal-3632	385	31	computers	computer	NOUN
american_scientific_journal-3632	385	32	&	&	CCONJ
american_scientific_journal-3632	385	33	industrial	industrial	ADJ
american_scientific_journal-3632	385	34	engineering	engineering	NOUN
american_scientific_journal-3632	385	35	,	,	PUNCT
american_scientific_journal-3632	385	36	vol	vol	NOUN
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american_scientific_journal-3632	385	39	,	,	PUNCT
american_scientific_journal-3632	385	40	no	no	INTJ
american_scientific_journal-3632	385	41	.	.	NOUN
american_scientific_journal-3632	385	42	1	1	NUM
american_scientific_journal-3632	385	43	,	,	PUNCT
american_scientific_journal-3632	385	44	pp	pp	ADJ
american_scientific_journal-3632	385	45	.	.	PUNCT
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american_scientific_journal-3632	385	47	-	-	SYM
american_scientific_journal-3632	385	48	182	182	NUM
american_scientific_journal-3632	385	49	,	,	PUNCT
american_scientific_journal-3632	385	50	2006	2006	NUM
american_scientific_journal-3632	385	51	.	.	PUNCT
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american_scientific_journal-3632	386	9	,	,	PUNCT
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american_scientific_journal-3632	386	14	in	in	ADP
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american_scientific_journal-3632	386	17	:	:	PUNCT
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american_scientific_journal-3632	386	20	,	,	PUNCT
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american_scientific_journal-3632	386	22	international	international	ADJ
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american_scientific_journal-3632	386	24	of	of	ADP
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american_scientific_journal-3632	386	26	in	in	ADP
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american_scientific_journal-3632	386	28	,	,	PUNCT
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american_scientific_journal-3632	386	30	.	.	PROPN
american_scientific_journal-3632	386	31	11	11	NUM
american_scientific_journal-3632	386	32	,	,	PUNCT
american_scientific_journal-3632	386	33	no	no	INTJ
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american_scientific_journal-3632	386	35	1	1	NUM
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american_scientific_journal-3632	386	38	.	.	PUNCT
american_scientific_journal-3632	387	1	17	17	NUM
american_scientific_journal-3632	387	2	-	-	SYM
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american_scientific_journal-3632	387	4	,	,	PUNCT
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american_scientific_journal-3632	387	6	.	.	PUNCT
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american_scientific_journal-3632	388	2	17	17	NUM
american_scientific_journal-3632	388	3	]	]	X
american_scientific_journal-3632	388	4	d.	d.	PROPN
american_scientific_journal-3632	388	5	delfino	delfino	PROPN
american_scientific_journal-3632	388	6	and	and	CCONJ
american_scientific_journal-3632	388	7	p.	p.	PROPN
american_scientific_journal-3632	388	8	j.	j.	PROPN
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american_scientific_journal-3632	388	10	,	,	PUNCT
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american_scientific_journal-3632	388	12	and	and	CCONJ
american_scientific_journal-3632	388	13	normative	normative	ADJ
american_scientific_journal-3632	388	14	issues	issue	NOUN
american_scientific_journal-3632	388	15	of	of	ADP
american_scientific_journal-3632	388	16	economic	economic	ADJ
american_scientific_journal-3632	388	17	growth	growth	NOUN
american_scientific_journal-3632	388	18	,	,	PUNCT
american_scientific_journal-3632	388	19	the	the	DET
american_scientific_journal-3632	388	20	university	university	PROPN
american_scientific_journal-3632	388	21	of	of	ADP
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american_scientific_journal-3632	388	23	,	,	PUNCT
american_scientific_journal-3632	388	24	2000	2000	NUM
american_scientific_journal-3632	388	25	.	.	PUNCT
american_scientific_journal-3632	389	1	[	[	X
american_scientific_journal-3632	389	2	18	18	NUM
american_scientific_journal-3632	389	3	]	]	PUNCT
american_scientific_journal-3632	389	4	a.	a.	PROPN
american_scientific_journal-3632	389	5	r.	r.	PROPN
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american_scientific_journal-3632	389	8	s.	s.	PROPN
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american_scientific_journal-3632	389	10	,	,	PUNCT
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american_scientific_journal-3632	389	12	an	an	DET
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american_scientific_journal-3632	389	14	of	of	ADP
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american_scientific_journal-3632	389	16	merit	merit	NOUN
american_scientific_journal-3632	389	17	function	function	NOUN
american_scientific_journal-3632	389	18	for	for	ADP
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american_scientific_journal-3632	389	21	programming	programming	NOUN
american_scientific_journal-3632	389	22	problems	problem	NOUN
american_scientific_journal-3632	389	23	,	,	PUNCT
american_scientific_journal-3632	389	24	”	"	PUNCT
american_scientific_journal-3632	389	25	computers	computer	NOUN
american_scientific_journal-3632	389	26	and	and	CCONJ
american_scientific_journal-3632	389	27	industrial	industrial	ADJ
american_scientific_journal-3632	389	28	engineering	engineering	NOUN
american_scientific_journal-3632	389	29	,	,	PUNCT
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american_scientific_journal-3632	389	31	.	.	PROPN
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american_scientific_journal-3632	390	2	,	,	PUNCT
american_scientific_journal-3632	390	3	no	no	INTJ
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american_scientific_journal-3632	390	5	2	2	NUM
american_scientific_journal-3632	390	6	,	,	PUNCT
american_scientific_journal-3632	390	7	pp	pp	ADJ
american_scientific_journal-3632	390	8	.	.	PUNCT
american_scientific_journal-3632	391	1	212	212	NUM
american_scientific_journal-3632	391	2	-	-	SYM
american_scientific_journal-3632	391	3	221	221	NUM
american_scientific_journal-3632	391	4	,	,	PUNCT
american_scientific_journal-3632	391	5	2013	2013	NUM
american_scientific_journal-3632	391	6	.	.	PUNCT
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american_scientific_journal-3632	392	2	19	19	NUM
american_scientific_journal-3632	392	3	]	]	PUNCT
american_scientific_journal-3632	392	4	e.	e.	PROPN
american_scientific_journal-3632	392	5	p.	p.	PROPN
american_scientific_journal-3632	392	6	odum	odum	PROPN
american_scientific_journal-3632	392	7	and	and	CCONJ
american_scientific_journal-3632	392	8	g.	g.	PROPN
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american_scientific_journal-3632	392	11	,	,	PUNCT
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american_scientific_journal-3632	392	13	of	of	ADP
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american_scientific_journal-3632	392	15	,	,	PUNCT
american_scientific_journal-3632	392	16	belmont	belmont	PROPN
american_scientific_journal-3632	392	17	ca	ca	PROPN
american_scientific_journal-3632	392	18	:	:	PUNCT
american_scientific_journal-3632	392	19	thomson	thomson	PROPN
american_scientific_journal-3632	392	20	brooks	brooks	PROPN
american_scientific_journal-3632	392	21	/	/	SYM
american_scientific_journal-3632	392	22	cole	cole	PROPN
american_scientific_journal-3632	392	23	,	,	PUNCT
american_scientific_journal-3632	392	24	2005	2005	NUM
american_scientific_journal-3632	392	25	.	.	PUNCT
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american_scientific_journal-3632	393	2	20	20	NUM
american_scientific_journal-3632	393	3	]	]	PUNCT
american_scientific_journal-3632	393	4	s.	s.	PROPN
american_scientific_journal-3632	393	5	y.	y.	PROPN
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american_scientific_journal-3632	393	7	and	and	CCONJ
american_scientific_journal-3632	393	8	g.	g.	PROPN
american_scientific_journal-3632	393	9	g.	g.	PROPN
american_scientific_journal-3632	393	10	wong	wong	PROPN
american_scientific_journal-3632	393	11	,	,	PUNCT
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american_scientific_journal-3632	393	13	competitive	competitive	ADJ
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american_scientific_journal-3632	393	15	of	of	ADP
american_scientific_journal-3632	393	16	personal	personal	ADJ
american_scientific_journal-3632	393	17	computer	computer	NOUN
american_scientific_journal-3632	393	18	shipments	shipment	NOUN
american_scientific_journal-3632	393	19	in	in	ADP
american_scientific_journal-3632	393	20	taiwan	taiwan	PROPN
american_scientific_journal-3632	393	21	,	,	PUNCT
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american_scientific_journal-3632	393	25	and	and	CCONJ
american_scientific_journal-3632	393	26	social	social	ADJ
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american_scientific_journal-3632	393	28	,	,	PUNCT
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american_scientific_journal-3632	393	30	.	.	PROPN
american_scientific_journal-3632	394	1	78	78	NUM
american_scientific_journal-3632	394	2	,	,	PUNCT
american_scientific_journal-3632	394	3	no	no	INTJ
american_scientific_journal-3632	394	4	.	.	NOUN
american_scientific_journal-3632	394	5	3	3	NUM
american_scientific_journal-3632	394	6	,	,	PUNCT
american_scientific_journal-3632	394	7	pp	pp	ADJ
american_scientific_journal-3632	394	8	.	.	PUNCT
american_scientific_journal-3632	395	1	526	526	NUM
american_scientific_journal-3632	395	2	-	-	SYM
american_scientific_journal-3632	395	3	535	535	NUM
american_scientific_journal-3632	395	4	,	,	PUNCT
american_scientific_journal-3632	395	5	2011	2011	NUM
american_scientific_journal-3632	395	6	.	.	PUNCT
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american_scientific_journal-3632	396	2	21	21	NUM
american_scientific_journal-3632	396	3	]	]	PUNCT
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american_scientific_journal-3632	396	6	and	and	CCONJ
american_scientific_journal-3632	396	7	s.	s.	PROPN
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american_scientific_journal-3632	396	9	,	,	PUNCT
american_scientific_journal-3632	396	10	a	a	DET
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american_scientific_journal-3632	396	13	of	of	ADP
american_scientific_journal-3632	396	14	dynamical	dynamical	ADJ
american_scientific_journal-3632	396	15	models	model	NOUN
american_scientific_journal-3632	396	16	in	in	ADP
american_scientific_journal-3632	396	17	biological	biological	ADJ
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american_scientific_journal-3632	396	19	,	,	PUNCT
american_scientific_journal-3632	396	20	west	west	PROPN
american_scientific_journal-3632	396	21	sussex	sussex	PROPN
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american_scientific_journal-3632	396	23	:	:	PUNCT
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american_scientific_journal-3632	396	26	,	,	PUNCT
american_scientific_journal-3632	396	27	1991	1991	NUM
american_scientific_journal-3632	396	28	.	.	PUNCT
american_scientific_journal-3632	397	1	[	[	X
american_scientific_journal-3632	397	2	22	22	NUM
american_scientific_journal-3632	397	3	]	]	X
american_scientific_journal-3632	397	4	f.	f.	PROPN
american_scientific_journal-3632	397	5	wu	wu	PROPN
american_scientific_journal-3632	397	6	,	,	PUNCT
american_scientific_journal-3632	397	7	x.	x.	PROPN
american_scientific_journal-3632	397	8	mao	mao	PROPN
american_scientific_journal-3632	397	9	and	and	CCONJ
american_scientific_journal-3632	397	10	j.	j.	PROPN
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american_scientific_journal-3632	397	12	,	,	PUNCT
american_scientific_journal-3632	397	13	“	"	PUNCT
american_scientific_journal-3632	397	14	uncertainty	uncertainty	NOUN
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american_scientific_journal-3632	397	18	in	in	ADP
american_scientific_journal-3632	397	19	a	a	DET
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american_scientific_journal-3632	397	21	r&d	r&d	NOUN
american_scientific_journal-3632	397	22	model	model	NOUN
american_scientific_journal-3632	397	23	,	,	PUNCT
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american_scientific_journal-3632	397	25	economic	economic	ADJ
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american_scientific_journal-3632	397	27	,	,	PUNCT
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american_scientific_journal-3632	397	29	.	.	PROPN
american_scientific_journal-3632	397	30	25	25	NUM
american_scientific_journal-3632	397	31	,	,	PUNCT
american_scientific_journal-3632	397	32	no	no	INTJ
american_scientific_journal-3632	397	33	.	.	NOUN
american_scientific_journal-3632	397	34	6	6	NUM
american_scientific_journal-3632	397	35	,	,	PUNCT
american_scientific_journal-3632	397	36	pp	pp	ADJ
american_scientific_journal-3632	397	37	.	.	PUNCT
american_scientific_journal-3632	398	1	1306	1306	NUM
american_scientific_journal-3632	398	2	-	-	SYM
american_scientific_journal-3632	398	3	1317	1317	NUM
american_scientific_journal-3632	398	4	,	,	PUNCT
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american_scientific_journal-3632	398	6	.	.	PUNCT
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american_scientific_journal-3632	399	7	and	and	CCONJ
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american_scientific_journal-3632	399	10	,	,	PUNCT
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american_scientific_journal-3632	399	17	,	,	PUNCT
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american_scientific_journal-3632	399	22	,	,	PUNCT
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american_scientific_journal-3632	399	24	.	.	PROPN
american_scientific_journal-3632	399	25	31	31	NUM
american_scientific_journal-3632	399	26	,	,	PUNCT
american_scientific_journal-3632	399	27	no	no	INTJ
american_scientific_journal-3632	399	28	.	.	NOUN
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american_scientific_journal-3632	399	30	,	,	PUNCT
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american_scientific_journal-3632	399	32	.	.	PUNCT
american_scientific_journal-3632	399	33	439	439	NUM
american_scientific_journal-3632	399	34	-	-	SYM
american_scientific_journal-3632	399	35	465	465	NUM
american_scientific_journal-3632	399	36	,	,	PUNCT
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american_scientific_journal-3632	399	38	.	.	PUNCT
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american_scientific_journal-3632	400	2	24	24	NUM
american_scientific_journal-3632	400	3	]	]	X
american_scientific_journal-3632	400	4	d.	d.	PROPN
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american_scientific_journal-3632	400	7	,	,	PUNCT
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american_scientific_journal-3632	400	14	,	,	PUNCT
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american_scientific_journal-3632	400	28	,	,	PUNCT
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american_scientific_journal-3632	400	30	.	.	PROPN
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american_scientific_journal-3632	400	32	,	,	PUNCT
american_scientific_journal-3632	400	33	no	no	INTJ
american_scientific_journal-3632	400	34	.	.	NOUN
american_scientific_journal-3632	400	35	1	1	NUM
american_scientific_journal-3632	400	36	,	,	PUNCT
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american_scientific_journal-3632	400	38	.	.	PUNCT
american_scientific_journal-3632	401	1	315	315	NUM
american_scientific_journal-3632	401	2	-	-	SYM
american_scientific_journal-3632	401	3	347	347	NUM
american_scientific_journal-3632	401	4	,	,	PUNCT
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american_scientific_journal-3632	401	6	.	.	PUNCT
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american_scientific_journal-3632	402	7	,	,	PUNCT
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american_scientific_journal-3632	402	10	,	,	PUNCT
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american_scientific_journal-3632	402	13	and	and	CCONJ
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american_scientific_journal-3632	402	17	,	,	PUNCT
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american_scientific_journal-3632	402	20	of	of	ADP
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american_scientific_journal-3632	402	22	and	and	CCONJ
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american_scientific_journal-3632	402	24	of	of	ADP
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american_scientific_journal-3632	402	26	,	,	PUNCT
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american_scientific_journal-3632	402	28	research	research	NOUN
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american_scientific_journal-3632	402	30	,	,	PUNCT
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american_scientific_journal-3632	402	32	.	.	PROPN
american_scientific_journal-3632	402	33	36	36	NUM
american_scientific_journal-3632	402	34	,	,	PUNCT
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american_scientific_journal-3632	402	36	.	.	PUNCT
american_scientific_journal-3632	403	1	680	680	NUM
american_scientific_journal-3632	403	2	-	-	PUNCT
american_scientific_journal-3632	403	3	693	693	NUM
american_scientific_journal-3632	403	4	,	,	PUNCT
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american_scientific_journal-3632	403	6	.	.	PUNCT
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american_scientific_journal-3632	404	4	y.h	y.h	PROPN
american_scientific_journal-3632	404	5	.	.	PROPN
american_scientific_journal-3632	404	6	ko	ko	PROPN
american_scientific_journal-3632	404	7	,	,	PUNCT
american_scientific_journal-3632	404	8	“	"	PUNCT
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american_scientific_journal-3632	404	13	in	in	ADP
american_scientific_journal-3632	404	14	a	a	DET
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american_scientific_journal-3632	404	16	-	-	PUNCT
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american_scientific_journal-3632	404	20	-	-	PUNCT
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american_scientific_journal-3632	404	25	bulletin	bulletin	NOUN
american_scientific_journal-3632	404	26	of	of	ADP
american_scientific_journal-3632	404	27	korean	korean	PROPN
american_scientific_journal-3632	404	28	mathematical	mathematical	ADJ
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american_scientific_journal-3632	404	30	,	,	PUNCT
american_scientific_journal-3632	404	31	vol	vol	NOUN
american_scientific_journal-3632	404	32	.	.	PROPN
american_scientific_journal-3632	404	33	43	43	NUM
american_scientific_journal-3632	404	34	,	,	PUNCT
american_scientific_journal-3632	404	35	pp	pp	ADJ
american_scientific_journal-3632	404	36	.	.	PUNCT
american_scientific_journal-3632	405	1	575	575	NUM
american_scientific_journal-3632	405	2	-	-	SYM
american_scientific_journal-3632	405	3	587	587	NUM
american_scientific_journal-3632	405	4	,	,	PUNCT
american_scientific_journal-3632	405	5	2006	2006	NUM
american_scientific_journal-3632	405	6	.	.	PUNCT
american_scientific_journal-3632	406	1	[	[	X
american_scientific_journal-3632	406	2	27	27	NUM
american_scientific_journal-3632	406	3	]	]	X
american_scientific_journal-3632	406	4	p.	p.	NOUN
american_scientific_journal-3632	406	5	m.	m.	NOUN
american_scientific_journal-3632	406	6	romer	romer	NOUN
american_scientific_journal-3632	406	7	,	,	PUNCT
american_scientific_journal-3632	406	8	“	"	PUNCT
american_scientific_journal-3632	406	9	endogenous	endogenous	ADJ
american_scientific_journal-3632	406	10	technological	technological	ADJ
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american_scientific_journal-3632	406	12	,	,	PUNCT
american_scientific_journal-3632	406	13	”	"	PUNCT
american_scientific_journal-3632	406	14	journal	journal	NOUN
american_scientific_journal-3632	406	15	of	of	ADP
american_scientific_journal-3632	406	16	political	political	ADJ
american_scientific_journal-3632	406	17	economy	economy	NOUN
american_scientific_journal-3632	406	18	,	,	PUNCT
american_scientific_journal-3632	406	19	vol	vol	NOUN
american_scientific_journal-3632	406	20	.	.	PROPN
american_scientific_journal-3632	406	21	98	98	NUM
american_scientific_journal-3632	406	22	,	,	PUNCT
american_scientific_journal-3632	406	23	no	no	INTJ
american_scientific_journal-3632	406	24	.	.	NOUN
american_scientific_journal-3632	406	25	5	5	NUM
american_scientific_journal-3632	406	26	,	,	PUNCT
american_scientific_journal-3632	406	27	pp	pp	ADV
american_scientific_journal-3632	406	28	.	.	PUNCT
american_scientific_journal-3632	407	1	s71american	s71american	VERB
american_scientific_journal-3632	407	2	scientific	scientific	ADJ
american_scientific_journal-3632	407	3	research	research	NOUN
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american_scientific_journal-3632	407	5	for	for	ADP
american_scientific_journal-3632	407	6	engineering	engineering	NOUN
american_scientific_journal-3632	407	7	,	,	PUNCT
american_scientific_journal-3632	407	8	technology	technology	NOUN
american_scientific_journal-3632	407	9	,	,	PUNCT
american_scientific_journal-3632	407	10	and	and	CCONJ
american_scientific_journal-3632	407	11	sciences	science	NOUN
american_scientific_journal-3632	407	12	(	(	PUNCT
american_scientific_journal-3632	407	13	asrjets	asrjet	NOUN
american_scientific_journal-3632	407	14	)	)	PUNCT
american_scientific_journal-3632	407	15	(	(	PUNCT
american_scientific_journal-3632	407	16	2018	2018	NUM
american_scientific_journal-3632	407	17	)	)	PUNCT
american_scientific_journal-3632	407	18	volume	volume	NOUN
american_scientific_journal-3632	407	19	39	39	NUM
american_scientific_journal-3632	407	20	,	,	PUNCT
american_scientific_journal-3632	407	21	no	no	DET
american_scientific_journal-3632	407	22	1	1	NUM
american_scientific_journal-3632	407	23	,	,	PUNCT
american_scientific_journal-3632	407	24	pp	pp	ADJ
american_scientific_journal-3632	407	25	138	138	NUM
american_scientific_journal-3632	407	26	-	-	SYM
american_scientific_journal-3632	407	27	158	158	NUM
american_scientific_journal-3632	407	28	157	157	NUM
american_scientific_journal-3632	407	29	s102	s102	NUM
american_scientific_journal-3632	407	30	,	,	PUNCT
american_scientific_journal-3632	407	31	1990	1990	NUM
american_scientific_journal-3632	407	32	.	.	PUNCT
american_scientific_journal-3632	408	1	[	[	X
american_scientific_journal-3632	408	2	28	28	NUM
american_scientific_journal-3632	408	3	]	]	X
american_scientific_journal-3632	408	4	c.	c.	PROPN
american_scientific_journal-3632	408	5	i.	i.	PROPN
american_scientific_journal-3632	408	6	jones	jones	PROPN
american_scientific_journal-3632	408	7	,	,	PUNCT
american_scientific_journal-3632	408	8	“	"	PUNCT
american_scientific_journal-3632	408	9	r&d	r&d	NOUN
american_scientific_journal-3632	408	10	-	-	PUNCT
american_scientific_journal-3632	408	11	based	base	VERB
american_scientific_journal-3632	408	12	models	model	NOUN
american_scientific_journal-3632	408	13	of	of	ADP
american_scientific_journal-3632	408	14	economic	economic	ADJ
american_scientific_journal-3632	408	15	growth	growth	NOUN
american_scientific_journal-3632	408	16	,	,	PUNCT
american_scientific_journal-3632	408	17	”	"	PUNCT
american_scientific_journal-3632	408	18	journal	journal	NOUN
american_scientific_journal-3632	408	19	of	of	ADP
american_scientific_journal-3632	408	20	political	political	ADJ
american_scientific_journal-3632	408	21	economy	economy	NOUN
american_scientific_journal-3632	408	22	,	,	PUNCT
american_scientific_journal-3632	408	23	vol	vol	NOUN
american_scientific_journal-3632	408	24	.	.	PROPN
american_scientific_journal-3632	408	25	103	103	NUM
american_scientific_journal-3632	408	26	,	,	PUNCT
american_scientific_journal-3632	408	27	no	no	INTJ
american_scientific_journal-3632	408	28	.	.	NOUN
american_scientific_journal-3632	408	29	4	4	NUM
american_scientific_journal-3632	408	30	,	,	PUNCT
american_scientific_journal-3632	408	31	pp	pp	ADJ
american_scientific_journal-3632	408	32	.	.	PUNCT
american_scientific_journal-3632	409	1	759	759	NUM
american_scientific_journal-3632	409	2	-	-	SYM
american_scientific_journal-3632	409	3	784	784	NUM
american_scientific_journal-3632	409	4	,	,	PUNCT
american_scientific_journal-3632	409	5	1995	1995	NUM
american_scientific_journal-3632	409	6	.	.	PUNCT
american_scientific_journal-3632	410	1	[	[	X
american_scientific_journal-3632	410	2	29	29	NUM
american_scientific_journal-3632	410	3	]	]	X
american_scientific_journal-3632	410	4	v.	v.	PROPN
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american_scientific_journal-3632	410	6	,	,	PUNCT
american_scientific_journal-3632	410	7	“	"	PUNCT
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american_scientific_journal-3632	410	12	of	of	ADP
american_scientific_journal-3632	410	13	a	a	DET
american_scientific_journal-3632	410	14	species	specie	NOUN
american_scientific_journal-3632	410	15	considered	consider	VERB
american_scientific_journal-3632	410	16	mathematically	mathematically	ADV
american_scientific_journal-3632	410	17	,	,	PUNCT
american_scientific_journal-3632	410	18	”	"	PUNCT
american_scientific_journal-3632	410	19	nature	nature	NOUN
american_scientific_journal-3632	410	20	,	,	PUNCT
american_scientific_journal-3632	410	21	vol	vol	NOUN
american_scientific_journal-3632	410	22	.	.	PROPN
american_scientific_journal-3632	410	23	118	118	NUM
american_scientific_journal-3632	410	24	,	,	PUNCT
american_scientific_journal-3632	410	25	no	no	NOUN
american_scientific_journal-3632	410	26	.	.	NOUN
american_scientific_journal-3632	410	27	2972	2972	NUM
american_scientific_journal-3632	410	28	,	,	PUNCT
american_scientific_journal-3632	410	29	pp	pp	ADJ
american_scientific_journal-3632	410	30	.	.	PUNCT
american_scientific_journal-3632	410	31	558	558	NUM
american_scientific_journal-3632	410	32	-	-	SYM
american_scientific_journal-3632	410	33	560	560	NUM
american_scientific_journal-3632	410	34	,	,	PUNCT
american_scientific_journal-3632	410	35	1926	1926	NUM
american_scientific_journal-3632	410	36	.	.	PUNCT
american_scientific_journal-3632	411	1	[	[	X
american_scientific_journal-3632	411	2	30	30	NUM
american_scientific_journal-3632	411	3	]	]	X
american_scientific_journal-3632	411	4	i.	i.	PROPN
american_scientific_journal-3632	411	5	m.	m.	PROPN
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american_scientific_journal-3632	411	7	,	,	PUNCT
american_scientific_journal-3632	411	8	“	"	PUNCT
american_scientific_journal-3632	411	9	lotka	lotka	PROPN
american_scientific_journal-3632	411	10	-	-	PUNCT
american_scientific_journal-3632	411	11	volterra	volterra	NOUN
american_scientific_journal-3632	411	12	equation	equation	NOUN
american_scientific_journal-3632	411	13	and	and	CCONJ
american_scientific_journal-3632	411	14	replicator	replicator	NOUN
american_scientific_journal-3632	411	15	dynamics	dynamic	NOUN
american_scientific_journal-3632	411	16	:	:	PUNCT
american_scientific_journal-3632	411	17	new	new	ADJ
american_scientific_journal-3632	411	18	issues	issue	NOUN
american_scientific_journal-3632	411	19	in	in	ADP
american_scientific_journal-3632	411	20	classification	classification	NOUN
american_scientific_journal-3632	411	21	,	,	PUNCT
american_scientific_journal-3632	411	22	”	"	PUNCT
american_scientific_journal-3632	411	23	biological	biological	ADJ
american_scientific_journal-3632	411	24	cybernetics	cybernetic	NOUN
american_scientific_journal-3632	411	25	,	,	PUNCT
american_scientific_journal-3632	411	26	vol	vol	NOUN
american_scientific_journal-3632	411	27	.	.	PROPN
american_scientific_journal-3632	411	28	72	72	NUM
american_scientific_journal-3632	411	29	,	,	PUNCT
american_scientific_journal-3632	411	30	no	no	INTJ
american_scientific_journal-3632	411	31	.	.	NOUN
american_scientific_journal-3632	411	32	5	5	NUM
american_scientific_journal-3632	411	33	,	,	PUNCT
american_scientific_journal-3632	411	34	pp	pp	ADJ
american_scientific_journal-3632	411	35	.	.	PUNCT
american_scientific_journal-3632	412	1	447	447	NUM
american_scientific_journal-3632	412	2	-	-	NUM
american_scientific_journal-3632	412	3	453	453	NUM
american_scientific_journal-3632	412	4	,	,	PUNCT
american_scientific_journal-3632	412	5	1995	1995	NUM
american_scientific_journal-3632	412	6	.	.	PUNCT
american_scientific_journal-3632	413	1	[	[	X
american_scientific_journal-3632	413	2	31	31	NUM
american_scientific_journal-3632	413	3	]	]	X
american_scientific_journal-3632	413	4	o.	o.	NOUN
american_scientific_journal-3632	413	5	gurel	gurel	NOUN
american_scientific_journal-3632	413	6	and	and	CCONJ
american_scientific_journal-3632	413	7	l.	l.	PROPN
american_scientific_journal-3632	413	8	lapidus	lapidus	PROPN
american_scientific_journal-3632	413	9	,	,	PUNCT
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american_scientific_journal-3632	413	11	stability	stability	NOUN
american_scientific_journal-3632	413	12	via	via	ADP
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american_scientific_journal-3632	413	14	's	's	PART
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american_scientific_journal-3632	413	17	,	,	PUNCT
american_scientific_journal-3632	413	18	”	"	PUNCT
american_scientific_journal-3632	413	19	industrial	industrial	ADJ
american_scientific_journal-3632	413	20	engineering	engineering	NOUN
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american_scientific_journal-3632	413	22	,	,	PUNCT
american_scientific_journal-3632	413	23	vol	vol	NOUN
american_scientific_journal-3632	413	24	.	.	PROPN
american_scientific_journal-3632	413	25	60	60	NUM
american_scientific_journal-3632	413	26	,	,	PUNCT
american_scientific_journal-3632	413	27	no	no	INTJ
american_scientific_journal-3632	413	28	.	.	NOUN
american_scientific_journal-3632	413	29	6	6	NUM
american_scientific_journal-3632	413	30	,	,	PUNCT
american_scientific_journal-3632	413	31	p.	p.	NOUN
american_scientific_journal-3632	413	32	12–26	12–26	NUM
american_scientific_journal-3632	413	33	,	,	PUNCT
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american_scientific_journal-3632	413	35	.	.	PUNCT
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american_scientific_journal-3632	414	3	]	]	PUNCT
american_scientific_journal-3632	414	4	b.	b.	PROPN
american_scientific_journal-3632	414	5	s.	s.	PROPN
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american_scientific_journal-3632	414	7	,	,	PUNCT
american_scientific_journal-3632	414	8	“	"	PUNCT
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american_scientific_journal-3632	414	11	in	in	ADP
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american_scientific_journal-3632	414	13	-	-	PUNCT
american_scientific_journal-3632	414	14	species	specie	NOUN
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american_scientific_journal-3632	414	17	”	"	PUNCT
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american_scientific_journal-3632	414	21	,	,	PUNCT
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american_scientific_journal-3632	414	23	.	.	NOUN
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american_scientific_journal-3632	414	25	,	,	PUNCT
american_scientific_journal-3632	414	26	no	no	INTJ
american_scientific_journal-3632	414	27	.	.	NOUN
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american_scientific_journal-3632	414	29	,	,	PUNCT
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american_scientific_journal-3632	414	31	.	.	PUNCT
american_scientific_journal-3632	415	1	135	135	NUM
american_scientific_journal-3632	415	2	-	-	SYM
american_scientific_journal-3632	415	3	143	143	NUM
american_scientific_journal-3632	415	4	,	,	PUNCT
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american_scientific_journal-3632	415	6	.	.	PUNCT
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american_scientific_journal-3632	416	3	]	]	PUNCT
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american_scientific_journal-3632	416	6	,	,	PUNCT
american_scientific_journal-3632	416	7	“	"	PUNCT
american_scientific_journal-3632	416	8	a	a	DET
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american_scientific_journal-3632	416	13	-	-	PUNCT
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american_scientific_journal-3632	416	16	-	-	PUNCT
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american_scientific_journal-3632	416	19	,	,	PUNCT
american_scientific_journal-3632	416	20	”	"	PUNCT
american_scientific_journal-3632	416	21	applied	apply	VERB
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american_scientific_journal-3632	416	23	letters	letter	NOUN
american_scientific_journal-3632	416	24	,	,	PUNCT
american_scientific_journal-3632	416	25	vol	vol	NOUN
american_scientific_journal-3632	416	26	.	.	PROPN
american_scientific_journal-3632	416	27	14	14	NUM
american_scientific_journal-3632	416	28	,	,	PUNCT
american_scientific_journal-3632	416	29	no	no	INTJ
american_scientific_journal-3632	416	30	.	.	NOUN
american_scientific_journal-3632	416	31	6	6	NUM
american_scientific_journal-3632	416	32	,	,	PUNCT
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american_scientific_journal-3632	416	34	.	.	PUNCT
american_scientific_journal-3632	417	1	697	697	NUM
american_scientific_journal-3632	417	2	-	-	SYM
american_scientific_journal-3632	417	3	699	699	NUM
american_scientific_journal-3632	417	4	,	,	PUNCT
american_scientific_journal-3632	417	5	2001	2001	NUM
american_scientific_journal-3632	417	6	.	.	PUNCT
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american_scientific_journal-3632	418	7	and	and	CCONJ
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american_scientific_journal-3632	418	10	,	,	PUNCT
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american_scientific_journal-3632	418	12	equations	equation	NOUN
american_scientific_journal-3632	418	13	,	,	PUNCT
american_scientific_journal-3632	418	14	dynamical	dynamical	ADJ
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american_scientific_journal-3632	418	16	,	,	PUNCT
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american_scientific_journal-3632	418	24	92101	92101	NUM
american_scientific_journal-3632	418	25	:	:	PUNCT
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american_scientific_journal-3632	418	29	,	,	PUNCT
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american_scientific_journal-3632	418	31	.	.	PUNCT
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american_scientific_journal-3632	419	2	35	35	NUM
american_scientific_journal-3632	419	3	]	]	PUNCT
american_scientific_journal-3632	419	4	a.	a.	NOUN
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american_scientific_journal-3632	419	10	,	,	PUNCT
american_scientific_journal-3632	419	11	“	"	PUNCT
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american_scientific_journal-3632	419	16	a	a	DET
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american_scientific_journal-3632	419	18	-	-	PUNCT
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american_scientific_journal-3632	419	22	model	model	NOUN
american_scientific_journal-3632	419	23	,	,	PUNCT
american_scientific_journal-3632	419	24	”	"	PUNCT
american_scientific_journal-3632	419	25	mathematical	mathematical	ADJ
american_scientific_journal-3632	419	26	biosciences	bioscience	NOUN
american_scientific_journal-3632	419	27	and	and	CCONJ
american_scientific_journal-3632	419	28	engineering	engineering	NOUN
american_scientific_journal-3632	419	29	,	,	PUNCT
american_scientific_journal-3632	419	30	vol	vol	NOUN
american_scientific_journal-3632	419	31	.	.	PROPN
american_scientific_journal-3632	419	32	6	6	NUM
american_scientific_journal-3632	419	33	,	,	PUNCT
american_scientific_journal-3632	419	34	no	no	INTJ
american_scientific_journal-3632	419	35	.	.	NOUN
american_scientific_journal-3632	419	36	3	3	NUM
american_scientific_journal-3632	419	37	,	,	PUNCT
american_scientific_journal-3632	419	38	pp	pp	ADJ
american_scientific_journal-3632	419	39	.	.	PUNCT
american_scientific_journal-3632	420	1	585	585	NUM
american_scientific_journal-3632	420	2	-	-	SYM
american_scientific_journal-3632	420	3	590	590	NUM
american_scientific_journal-3632	420	4	,	,	PUNCT
american_scientific_journal-3632	420	5	2009	2009	NUM
american_scientific_journal-3632	420	6	.	.	PUNCT
american_scientific_journal-3632	421	1	[	[	X
american_scientific_journal-3632	421	2	36	36	NUM
american_scientific_journal-3632	421	3	]	]	X
american_scientific_journal-3632	421	4	c.	c.	PROPN
american_scientific_journal-3632	421	5	vargas	vargas	PROPN
american_scientific_journal-3632	421	6	-	-	PUNCT
american_scientific_journal-3632	421	7	de	de	NOUN
american_scientific_journal-3632	421	8	-	-	NOUN
american_scientific_journal-3632	421	9	león	león	NOUN
american_scientific_journal-3632	421	10	,	,	PUNCT
american_scientific_journal-3632	421	11	“	"	PUNCT
american_scientific_journal-3632	421	12	lyapunov	lyapunov	NOUN
american_scientific_journal-3632	421	13	functions	function	NOUN
american_scientific_journal-3632	421	14	for	for	ADP
american_scientific_journal-3632	421	15	two	two	NUM
american_scientific_journal-3632	421	16	-	-	PUNCT
american_scientific_journal-3632	421	17	species	species	NOUN
american_scientific_journal-3632	421	18	cooperative	cooperative	ADJ
american_scientific_journal-3632	421	19	systems	system	NOUN
american_scientific_journal-3632	421	20	,	,	PUNCT
american_scientific_journal-3632	421	21	”	"	PUNCT
american_scientific_journal-3632	421	22	applied	apply	VERB
american_scientific_journal-3632	421	23	mathematics	mathematic	NOUN
american_scientific_journal-3632	421	24	and	and	CCONJ
american_scientific_journal-3632	421	25	computation	computation	NOUN
american_scientific_journal-3632	421	26	,	,	PUNCT
american_scientific_journal-3632	421	27	vol	vol	NOUN
american_scientific_journal-3632	421	28	.	.	PROPN
american_scientific_journal-3632	421	29	219	219	NUM
american_scientific_journal-3632	421	30	,	,	PUNCT
american_scientific_journal-3632	421	31	no	no	INTJ
american_scientific_journal-3632	421	32	.	.	NOUN
american_scientific_journal-3632	421	33	5	5	NUM
american_scientific_journal-3632	421	34	,	,	PUNCT
american_scientific_journal-3632	421	35	p.	p.	NOUN
american_scientific_journal-3632	421	36	2493–2497	2493–2497	NUM
american_scientific_journal-3632	421	37	,	,	PUNCT
american_scientific_journal-3632	421	38	2012	2012	NUM
american_scientific_journal-3632	421	39	.	.	PUNCT
american_scientific_journal-3632	422	1	[	[	X
american_scientific_journal-3632	422	2	37	37	NUM
american_scientific_journal-3632	422	3	]	]	PUNCT
american_scientific_journal-3632	422	4	t.	t.	PROPN
american_scientific_journal-3632	422	5	modis	modis	PROPN
american_scientific_journal-3632	422	6	,	,	PUNCT
american_scientific_journal-3632	422	7	“	"	PUNCT
american_scientific_journal-3632	422	8	genetic	genetic	ADJ
american_scientific_journal-3632	422	9	re	re	NOUN
american_scientific_journal-3632	422	10	-	-	NOUN
american_scientific_journal-3632	422	11	engineering	engineering	NOUN
american_scientific_journal-3632	422	12	of	of	ADP
american_scientific_journal-3632	422	13	corporations	corporation	NOUN
american_scientific_journal-3632	422	14	,	,	PUNCT
american_scientific_journal-3632	422	15	”	"	PUNCT
american_scientific_journal-3632	422	16	technological	technological	ADJ
american_scientific_journal-3632	422	17	forecasting	forecasting	NOUN
american_scientific_journal-3632	422	18	and	and	CCONJ
american_scientific_journal-3632	422	19	social	social	ADJ
american_scientific_journal-3632	422	20	change	change	NOUN
american_scientific_journal-3632	422	21	,	,	PUNCT
american_scientific_journal-3632	422	22	vol	vol	NOUN
american_scientific_journal-3632	422	23	.	.	PROPN
american_scientific_journal-3632	422	24	56	56	NUM
american_scientific_journal-3632	422	25	,	,	PUNCT
american_scientific_journal-3632	422	26	no	no	INTJ
american_scientific_journal-3632	422	27	.	.	NOUN
american_scientific_journal-3632	422	28	2	2	NUM
american_scientific_journal-3632	422	29	,	,	PUNCT
american_scientific_journal-3632	422	30	pp	pp	ADJ
american_scientific_journal-3632	422	31	.	.	PUNCT
american_scientific_journal-3632	423	1	107	107	NUM
american_scientific_journal-3632	423	2	-	-	SYM
american_scientific_journal-3632	423	3	118	118	NUM
american_scientific_journal-3632	423	4	,	,	PUNCT
american_scientific_journal-3632	423	5	1997	1997	NUM
american_scientific_journal-3632	423	6	.	.	PUNCT
american_scientific_journal-3632	424	1	[	[	X
american_scientific_journal-3632	424	2	38	38	NUM
american_scientific_journal-3632	424	3	]	]	PUNCT
american_scientific_journal-3632	424	4	a.	a.	NOUN
american_scientific_journal-3632	424	5	lotka	lotka	PROPN
american_scientific_journal-3632	424	6	,	,	PUNCT
american_scientific_journal-3632	424	7	elements	element	NOUN
american_scientific_journal-3632	424	8	of	of	ADP
american_scientific_journal-3632	424	9	mathematical	mathematical	ADJ
american_scientific_journal-3632	424	10	biology	biology	NOUN
american_scientific_journal-3632	424	11	,	,	PUNCT
american_scientific_journal-3632	424	12	dover	dover	PROPN
american_scientific_journal-3632	424	13	publications	publications	PROPN
american_scientific_journal-3632	424	14	inc	inc	PROPN
american_scientific_journal-3632	424	15	.	.	PROPN
american_scientific_journal-3632	424	16	,	,	PUNCT
american_scientific_journal-3632	424	17	1956	1956	NUM
american_scientific_journal-3632	424	18	.	.	PUNCT
american_scientific_journal-3632	425	1	[	[	X
american_scientific_journal-3632	425	2	39	39	NUM
american_scientific_journal-3632	425	3	]	]	PUNCT
american_scientific_journal-3632	425	4	b.	b.	PROPN
american_scientific_journal-3632	426	1	å	å	PROPN
american_scientific_journal-3632	426	2	.	.	PUNCT
american_scientific_journal-3632	426	3	lundvall	lundvall	PROPN
american_scientific_journal-3632	426	4	and	and	CCONJ
american_scientific_journal-3632	426	5	j.	j.	PROPN
american_scientific_journal-3632	426	6	björn	björn	PROPN
american_scientific_journal-3632	426	7	,	,	PUNCT
american_scientific_journal-3632	426	8	“	"	PUNCT
american_scientific_journal-3632	426	9	the	the	DET
american_scientific_journal-3632	426	10	learning	learn	VERB
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american_scientific_journal-3632	426	12	,	,	PUNCT
american_scientific_journal-3632	426	13	”	"	PUNCT
american_scientific_journal-3632	426	14	journal	journal	NOUN
american_scientific_journal-3632	426	15	of	of	ADP
american_scientific_journal-3632	426	16	industry	industry	NOUN
american_scientific_journal-3632	426	17	studies	study	NOUN
american_scientific_journal-3632	426	18	,	,	PUNCT
american_scientific_journal-3632	426	19	vol	vol	NOUN
american_scientific_journal-3632	426	20	.	.	PROPN
american_scientific_journal-3632	427	1	1	1	NUM
american_scientific_journal-3632	427	2	,	,	PUNCT
american_scientific_journal-3632	427	3	no	no	INTJ
american_scientific_journal-3632	427	4	.	.	NOUN
american_scientific_journal-3632	427	5	2	2	NUM
american_scientific_journal-3632	427	6	,	,	PUNCT
american_scientific_journal-3632	427	7	p.	p.	NOUN
american_scientific_journal-3632	427	8	23–42	23–42	NUM
american_scientific_journal-3632	427	9	,	,	PUNCT
american_scientific_journal-3632	427	10	1994	1994	NUM
american_scientific_journal-3632	427	11	.	.	PUNCT
american_scientific_journal-3632	428	1	7	7	X
american_scientific_journal-3632	428	2	.	.	X
american_scientific_journal-3632	428	3	appendix	appendix	NOUN
american_scientific_journal-3632	428	4	:	:	PUNCT
american_scientific_journal-3632	428	5	proof	proof	NOUN
american_scientific_journal-3632	428	6	of	of	ADP
american_scientific_journal-3632	428	7	the	the	DET
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american_scientific_journal-3632	428	9	of	of	ADP
american_scientific_journal-3632	428	10	s	s	PROPN
american_scientific_journal-3632	428	11	considering	consider	VERB
american_scientific_journal-3632	428	12	that	that	SCONJ
american_scientific_journal-3632	428	13	s=	s=	NOUN
american_scientific_journal-3632	428	14	{	{	PUNCT
american_scientific_journal-3632	428	15	x	x	X
american_scientific_journal-3632	428	16	,	,	PUNCT
american_scientific_journal-3632	428	17	y	y	PROPN
american_scientific_journal-3632	428	18			NOUN
american_scientific_journal-3632	428	19	ir²	ir²	ADJ
american_scientific_journal-3632	428	20	x	x	X
american_scientific_journal-3632	428	21	>	>	X
american_scientific_journal-3632	428	22	0,y	0,y	X
american_scientific_journal-3632	428	23	>	>	X
american_scientific_journal-3632	428	24	-	-	NOUN
american_scientific_journal-3632	428	25	}	}	PUNCT
american_scientific_journal-3632	428	26	the	the	DET
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american_scientific_journal-3632	428	29	s	s	PROPN
american_scientific_journal-3632	428	30	is	be	AUX
american_scientific_journal-3632	428	31	made	make	VERB
american_scientific_journal-3632	428	32	up	up	ADP
american_scientific_journal-3632	428	33	of	of	ADP
american_scientific_journal-3632	428	34	two	two	NUM
american_scientific_journal-3632	428	35	half	half	ADJ
american_scientific_journal-3632	428	36	-	-	PUNCT
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american_scientific_journal-3632	428	38	dl	dl	PROPN
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american_scientific_journal-3632	428	40	d2	d2	PROPN
american_scientific_journal-3632	428	41	with	with	ADP
american_scientific_journal-3632	428	42	,	,	PUNCT
american_scientific_journal-3632	428	43	dl	dl	PROPN
american_scientific_journal-3632	428	44	=	=	PUNCT
american_scientific_journal-3632	428	45	{	{	PUNCT
american_scientific_journal-3632	428	46	x	x	PROPN
american_scientific_journal-3632	428	47	,	,	PUNCT
american_scientific_journal-3632	428	48	y	y	PROPN
american_scientific_journal-3632	428	49			NOUN
american_scientific_journal-3632	428	50	ir²	ir²	ADJ
american_scientific_journal-3632	428	51	x	x	X
american_scientific_journal-3632	428	52	>	>	X
american_scientific_journal-3632	428	53	0	0	NUM
american_scientific_journal-3632	428	54	,	,	PUNCT
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american_scientific_journal-3632	428	56	=	=	PUNCT
american_scientific_journal-3632	428	57	-	-	NOUN
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american_scientific_journal-3632	428	60	d2	d2	PROPN
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american_scientific_journal-3632	428	63	x	x	PROPN
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american_scientific_journal-3632	428	65	y	y	PROPN
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american_scientific_journal-3632	428	67	ir²	ir²	VERB
american_scientific_journal-3632	428	68	x	x	X
american_scientific_journal-3632	428	69	=	=	SYM
american_scientific_journal-3632	428	70	0	0	NUM
american_scientific_journal-3632	428	71	,	,	PUNCT
american_scientific_journal-3632	428	72	y	y	PROPN
american_scientific_journal-3632	428	73	>	>	X
american_scientific_journal-3632	428	74	-	-	NOUN
american_scientific_journal-3632	428	75	}	}	PUNCT
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american_scientific_journal-3632	428	77	(	(	PUNCT
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american_scientific_journal-3632	428	79	,	,	PUNCT
american_scientific_journal-3632	428	80	y	y	PROPN
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american_scientific_journal-3632	428	82	a	a	DET
american_scientific_journal-3632	428	83	point	point	NOUN
american_scientific_journal-3632	428	84	in	in	ADP
american_scientific_journal-3632	428	85	d1	d1	PROPN
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american_scientific_journal-3632	428	90	,	,	PUNCT
american_scientific_journal-3632	428	91	0	0	NUM
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american_scientific_journal-3632	428	93	=	=	SYM
american_scientific_journal-3632	428	94	-1	-1	ADJ
american_scientific_journal-3632	428	95			NOUN
american_scientific_journal-3632	429	1			PROPN
american_scientific_journal-3632	429	2			PROPN
american_scientific_journal-3632	429	3			PROPN
american_scientific_journal-3632	430	1			ADJ
american_scientific_journal-3632	430	2			NOUN
american_scientific_journal-3632	430	3	and	and	CCONJ
american_scientific_journal-3632	430	4	f(x	f(x	PROPN
american_scientific_journal-3632	430	5	,	,	PUNCT
american_scientific_journal-3632	430	6	y)=	y)=	NOUN
american_scientific_journal-3632	430	7	x(θx	x(θx	PROPN
american_scientific_journal-3632	431	1	+	+	CCONJ
american_scientific_journal-3632	431	2	ξδ	ξδ	ADP
american_scientific_journal-3632	431	3	+	+	NUM
american_scientific_journal-3632	431	4	θn	θn	NOUN
american_scientific_journal-3632	431	5	)	)	PUNCT
american_scientific_journal-3632	431	6	0	0	NUM
american_scientific_journal-3632	432	1			NOUN
american_scientific_journal-3632	432	2			PROPN
american_scientific_journal-3632	432	3			PROPN
american_scientific_journal-3632	432	4			PROPN
american_scientific_journal-3632	433	1			ADJ
american_scientific_journal-3632	433	2			NOUN
american_scientific_journal-3632	433	3	it	it	PRON
american_scientific_journal-3632	433	4	is	be	AUX
american_scientific_journal-3632	433	5	therefore	therefore	ADV
american_scientific_journal-3632	433	6	clear	clear	ADJ
american_scientific_journal-3632	433	7	that	that	SCONJ
american_scientific_journal-3632	433	8	f(x	f(x	PROPN
american_scientific_journal-3632	433	9	,	,	PUNCT
american_scientific_journal-3632	433	10	y	y	PROPN
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american_scientific_journal-3632	433	12	.	.	PUNCT
american_scientific_journal-3632	434	1	n	n	NOUN
american_scientific_journal-3632	434	2	=	=	NOUN
american_scientific_journal-3632	434	3	0	0	PROPN
american_scientific_journal-3632	434	4	.	.	PUNCT
american_scientific_journal-3632	435	1	american	american	PROPN
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american_scientific_journal-3632	435	3	research	research	PROPN
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american_scientific_journal-3632	435	5	for	for	ADP
american_scientific_journal-3632	435	6	engineering	engineering	NOUN
american_scientific_journal-3632	435	7	,	,	PUNCT
american_scientific_journal-3632	435	8	technology	technology	NOUN
american_scientific_journal-3632	435	9	,	,	PUNCT
american_scientific_journal-3632	435	10	and	and	CCONJ
american_scientific_journal-3632	435	11	sciences	science	NOUN
american_scientific_journal-3632	435	12	(	(	PUNCT
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american_scientific_journal-3632	435	15	(	(	PUNCT
american_scientific_journal-3632	435	16	2018	2018	NUM
american_scientific_journal-3632	435	17	)	)	PUNCT
american_scientific_journal-3632	435	18	volume	volume	NOUN
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american_scientific_journal-3632	435	20	,	,	PUNCT
american_scientific_journal-3632	435	21	no	no	DET
american_scientific_journal-3632	435	22	1	1	NUM
american_scientific_journal-3632	435	23	,	,	PUNCT
american_scientific_journal-3632	435	24	pp	pp	ADJ
american_scientific_journal-3632	435	25	138	138	NUM
american_scientific_journal-3632	435	26	-	-	SYM
american_scientific_journal-3632	435	27	158	158	NUM
american_scientific_journal-3632	435	28	158	158	NUM
american_scientific_journal-3632	435	29	on	on	ADP
american_scientific_journal-3632	435	30	the	the	DET
american_scientific_journal-3632	435	31	other	other	ADJ
american_scientific_journal-3632	435	32	hand	hand	NOUN
american_scientific_journal-3632	435	33	,	,	PUNCT
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american_scientific_journal-3632	435	35	(	(	PUNCT
american_scientific_journal-3632	435	36	x	x	NOUN
american_scientific_journal-3632	435	37	,	,	PUNCT
american_scientific_journal-3632	435	38	y	y	NOUN
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american_scientific_journal-3632	435	41	taken	take	VERB
american_scientific_journal-3632	435	42	as	as	ADP
american_scientific_journal-3632	435	43	a	a	DET
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american_scientific_journal-3632	435	46	d2	d2	PROPN
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american_scientific_journal-3632	435	48	have	have	VERB
american_scientific_journal-3632	435	49	,	,	PUNCT
american_scientific_journal-3632	435	50	-1	-1	CCONJ
american_scientific_journal-3632	436	1	n	n	CCONJ
american_scientific_journal-3632	436	2	=	=	SYM
american_scientific_journal-3632	436	3	0	0	PROPN
american_scientific_journal-3632	436	4			NOUN
american_scientific_journal-3632	436	5			PROPN
american_scientific_journal-3632	436	6			PROPN
american_scientific_journal-3632	436	7			PROPN
american_scientific_journal-3632	437	1			ADJ
american_scientific_journal-3632	437	2			NOUN
american_scientific_journal-3632	437	3	and	and	CCONJ
american_scientific_journal-3632	437	4	f(x	f(x	PROPN
american_scientific_journal-3632	437	5	,	,	PUNCT
american_scientific_journal-3632	437	6	y)=	y)=	NOUN
american_scientific_journal-3632	437	7	0	0	NUM
american_scientific_journal-3632	438	1	(	(	PUNCT
american_scientific_journal-3632	438	2	y	y	NOUN
american_scientific_journal-3632	438	3	+	+	CCONJ
american_scientific_journal-3632	438	4	δ)α'(-y	δ)α'(-y	X
american_scientific_journal-3632	438	5	+	+	NUM
american_scientific_journal-3632	438	6	n	n	CCONJ
american_scientific_journal-3632	438	7	)	)	PUNCT
american_scientific_journal-3632	438	8			NOUN
american_scientific_journal-3632	438	9			PROPN
american_scientific_journal-3632	438	10			PROPN
american_scientific_journal-3632	438	11			PROPN
american_scientific_journal-3632	439	1			PROPN
american_scientific_journal-3632	439	2			NOUN
american_scientific_journal-3632	439	3	the	the	DET
american_scientific_journal-3632	439	4	same	same	ADJ
american_scientific_journal-3632	439	5	reasoning	reasoning	NOUN
american_scientific_journal-3632	439	6	gives	give	VERB
american_scientific_journal-3632	439	7	us	we	PRON
american_scientific_journal-3632	439	8	f(x	f(x	PROPN
american_scientific_journal-3632	439	9	,	,	PUNCT
american_scientific_journal-3632	439	10	y	y	PROPN
american_scientific_journal-3632	439	11	)	)	PUNCT
american_scientific_journal-3632	439	12	.	.	PUNCT
american_scientific_journal-3632	440	1	n	n	NOUN
american_scientific_journal-3632	440	2	=	=	NOUN
american_scientific_journal-3632	440	3	0	0	NUM
american_scientific_journal-3632	440	4	.	.	PUNCT
american_scientific_journal-3632	441	1	the	the	DET
american_scientific_journal-3632	441	2	proof	proof	NOUN
american_scientific_journal-3632	441	3	of	of	ADP
american_scientific_journal-3632	441	4	the	the	DET
american_scientific_journal-3632	441	5	stability	stability	NOUN
american_scientific_journal-3632	441	6	of	of	ADP
american_scientific_journal-3632	441	7	s	s	PROPN
american_scientific_journal-3632	441	8	is	be	AUX
american_scientific_journal-3632	441	9	based	base	VERB
american_scientific_journal-3632	441	10	on	on	ADP
american_scientific_journal-3632	441	11	the	the	DET
american_scientific_journal-3632	441	12	following	follow	VERB
american_scientific_journal-3632	441	13	theorem	theorem	NOUN
american_scientific_journal-3632	441	14	:	:	PUNCT
american_scientific_journal-3632	441	15	theorem	theorem	NOUN
american_scientific_journal-3632	441	16	:	:	PUNCT
american_scientific_journal-3632	441	17	assuming	assume	VERB
american_scientific_journal-3632	441	18	s	s	NOUN
american_scientific_journal-3632	441	19	is	be	AUX
american_scientific_journal-3632	441	20	a	a	DET
american_scientific_journal-3632	441	21	regular	regular	ADJ
american_scientific_journal-3632	441	22	closed	closed	ADJ
american_scientific_journal-3632	441	23	area	area	NOUN
american_scientific_journal-3632	441	24	without	without	ADP
american_scientific_journal-3632	441	25	borders	border	NOUN
american_scientific_journal-3632	441	26	on	on	ADP
american_scientific_journal-3632	441	27	ir²	ir²	NOUN
american_scientific_journal-3632	441	28	x(t	x(t	PROPN
american_scientific_journal-3632	441	29	)	)	PUNCT
american_scientific_journal-3632	441	30	=	=	SYM
american_scientific_journal-3632	441	31	f(x	f(x	PROPN
american_scientific_journal-3632	441	32	,	,	PUNCT
american_scientific_journal-3632	441	33	y	y	PROPN
american_scientific_journal-3632	441	34	,	,	PUNCT
american_scientific_journal-3632	441	35	t	t	PROPN
american_scientific_journal-3632	441	36	)	)	PUNCT
american_scientific_journal-3632	441	37	y(t	y(t	NUM
american_scientific_journal-3632	441	38	)	)	PUNCT
american_scientific_journal-3632	442	1	=	=	SYM
american_scientific_journal-3632	442	2	g(x	g(x	NOUN
american_scientific_journal-3632	442	3	,	,	PUNCT
american_scientific_journal-3632	442	4	y	y	PROPN
american_scientific_journal-3632	442	5	,	,	PUNCT
american_scientific_journal-3632	442	6	t	t	PROPN
american_scientific_journal-3632	442	7	)	)	PUNCT
american_scientific_journal-3632	442	8			ADP
american_scientific_journal-3632	443	1			NUM
american_scientific_journal-3632	443	2			PROPN
american_scientific_journal-3632	443	3	(	(	PUNCT
american_scientific_journal-3632	443	4	1	1	NUM
american_scientific_journal-3632	443	5	)	)	PUNCT
american_scientific_journal-3632	443	6	where	where	SCONJ
american_scientific_journal-3632	443	7	f	f	PROPN
american_scientific_journal-3632	443	8	and	and	CCONJ
american_scientific_journal-3632	443	9	g	g	PROPN
american_scientific_journal-3632	443	10	are	be	AUX
american_scientific_journal-3632	443	11	continuously	continuously	ADV
american_scientific_journal-3632	443	12	differentials	differential	NOUN
american_scientific_journal-3632	443	13	.	.	PUNCT
american_scientific_journal-3632	444	1	supposing	suppose	VERB
american_scientific_journal-3632	444	2	that	that	SCONJ
american_scientific_journal-3632	444	3	n	n	PRON
american_scientific_journal-3632	444	4	is	be	AUX
american_scientific_journal-3632	444	5	a	a	DET
american_scientific_journal-3632	444	6	normal	normal	ADJ
american_scientific_journal-3632	444	7	vector	vector	NOUN
american_scientific_journal-3632	444	8	coming	come	VERB
american_scientific_journal-3632	444	9	from	from	ADP
american_scientific_journal-3632	444	10	the	the	DET
american_scientific_journal-3632	444	11	area	area	NOUN
american_scientific_journal-3632	444	12	s	s	VERB
american_scientific_journal-3632	444	13	at	at	ADP
american_scientific_journal-3632	444	14	the	the	DET
american_scientific_journal-3632	444	15	point	point	NOUN
american_scientific_journal-3632	444	16	(	(	PUNCT
american_scientific_journal-3632	444	17	x	x	X
american_scientific_journal-3632	444	18	,	,	PUNCT
american_scientific_journal-3632	444	19	y	y	PROPN
american_scientific_journal-3632	444	20	)	)	PUNCT
american_scientific_journal-3632	444	21	,	,	PUNCT
american_scientific_journal-3632	444	22	and	and	CCONJ
american_scientific_journal-3632	444	23	(x	(x	PROPN
american_scientific_journal-3632	444	24	,	,	PUNCT
american_scientific_journal-3632	444	25	y	y	NOUN
american_scientific_journal-3632	444	26	)	)	PUNCT
american_scientific_journal-3632	444	27			NOUN
american_scientific_journal-3632	444	28	s	s	VERB
american_scientific_journal-3632	444	29	we	we	PRON
american_scientific_journal-3632	444	30	have	have	VERB
american_scientific_journal-3632	444	31	:	:	PUNCT
american_scientific_journal-3632	444	32	n	n	CCONJ
american_scientific_journal-3632	444	33	.	.	PUNCT
american_scientific_journal-3632	445	1	<	<	X
american_scientific_journal-3632	445	2	x	x	X
american_scientific_journal-3632	445	3	,	,	PUNCT
american_scientific_journal-3632	445	4	y	y	PROPN
american_scientific_journal-3632	445	5	>	>	X
american_scientific_journal-3632	445	6	=	=	PROPN
american_scientific_journal-3632	445	7	0	0	NUM
american_scientific_journal-3632	445	8	.	.	PUNCT
american_scientific_journal-3632	446	1	therefore	therefore	ADV
american_scientific_journal-3632	446	2	s	s	VERB
american_scientific_journal-3632	446	3	is	be	AUX
american_scientific_journal-3632	446	4	invariable	invariable	ADJ
american_scientific_journal-3632	446	5	24	24	NUM
american_scientific_journal-3632	446	6	with	with	ADP
american_scientific_journal-3632	446	7	respect	respect	NOUN
american_scientific_journal-3632	446	8	to	to	ADP
american_scientific_journal-3632	446	9	system	system	NOUN
american_scientific_journal-3632	446	10	(	(	PUNCT
american_scientific_journal-3632	446	11	1	1	NUM
american_scientific_journal-3632	446	12	)	)	PUNCT
american_scientific_journal-3632	446	13	.	.	PUNCT
american_scientific_journal-3632	447	1	this	this	DET
american_scientific_journal-3632	447	2	theorem	theorem	NOUN
american_scientific_journal-3632	447	3	is	be	AUX
american_scientific_journal-3632	447	4	a	a	DET
american_scientific_journal-3632	447	5	classic	classic	ADJ
american_scientific_journal-3632	447	6	result	result	NOUN
american_scientific_journal-3632	447	7	of	of	ADP
american_scientific_journal-3632	447	8	differential	differential	NOUN
american_scientific_journal-3632	447	9	systems	system	NOUN
american_scientific_journal-3632	447	10	,	,	PUNCT
american_scientific_journal-3632	447	11	citing	cite	VERB
american_scientific_journal-3632	447	12	the	the	DET
american_scientific_journal-3632	447	13	title	title	NOUN
american_scientific_journal-3632	447	14	[	[	X
american_scientific_journal-3632	447	15	17	17	NUM
american_scientific_journal-3632	447	16	]	]	PUNCT
american_scientific_journal-3632	447	17	.	.	PUNCT
american_scientific_journal-3632	448	1	hence	hence	ADV
american_scientific_journal-3632	448	2	the	the	DET
american_scientific_journal-3632	448	3	application	application	NOUN
american_scientific_journal-3632	448	4	of	of	ADP
american_scientific_journal-3632	448	5	the	the	DET
american_scientific_journal-3632	448	6	above	above	ADJ
american_scientific_journal-3632	448	7	theorem	theorem	NOUN
american_scientific_journal-3632	448	8	allows	allow	VERB
american_scientific_journal-3632	448	9	us	we	PRON
american_scientific_journal-3632	448	10	to	to	PART
american_scientific_journal-3632	448	11	say	say	VERB
american_scientific_journal-3632	448	12	that	that	SCONJ
american_scientific_journal-3632	448	13	s	s	PROPN
american_scientific_journal-3632	448	14	is	be	AUX
american_scientific_journal-3632	448	15	an	an	DET
american_scientific_journal-3632	448	16	invariant	invariant	ADJ
american_scientific_journal-3632	448	17	,	,	PUNCT
american_scientific_journal-3632	448	18	that	that	PRON
american_scientific_journal-3632	448	19	is	be	AUX
american_scientific_journal-3632	448	20	to	to	PART
american_scientific_journal-3632	448	21	say	say	VERB
american_scientific_journal-3632	448	22	if	if	SCONJ
american_scientific_journal-3632	448	23	(	(	PUNCT
american_scientific_journal-3632	448	24	x(0	x(0	PROPN
american_scientific_journal-3632	448	25	)	)	PUNCT
american_scientific_journal-3632	448	26	,	,	PUNCT
american_scientific_journal-3632	448	27	y(0	y(0	PROPN
american_scientific_journal-3632	448	28	)	)	PUNCT
american_scientific_journal-3632	448	29	)	)	PUNCT
american_scientific_journal-3632	449	1	s.	s.	NUM
american_scientific_journal-3632	449	2	then	then	ADV
american_scientific_journal-3632	449	3	(	(	PUNCT
american_scientific_journal-3632	449	4	x(t	x(t	PROPN
american_scientific_journal-3632	449	5	)	)	PUNCT
american_scientific_journal-3632	449	6	,	,	PUNCT
american_scientific_journal-3632	449	7	y(t	y(t	NOUN
american_scientific_journal-3632	449	8	)	)	PUNCT
american_scientific_journal-3632	449	9	)	)	PUNCT
american_scientific_journal-3632	450	1			NOUN
american_scientific_journal-3632	450	2	s.	s.	NOUN
american_scientific_journal-3632	450	3	24	24	NUM
american_scientific_journal-3632	450	4	in	in	ADP
american_scientific_journal-3632	450	5	general	general	ADJ
american_scientific_journal-3632	450	6	,	,	PUNCT
american_scientific_journal-3632	450	7	a	a	DET
american_scientific_journal-3632	450	8	surface	surface	NOUN
american_scientific_journal-3632	450	9	s	s	NOUN
american_scientific_journal-3632	450	10	is	be	AUX
american_scientific_journal-3632	450	11	invariant	invariant	ADJ
american_scientific_journal-3632	450	12	with	with	ADP
american_scientific_journal-3632	450	13	respect	respect	NOUN
american_scientific_journal-3632	450	14	to	to	ADP
american_scientific_journal-3632	450	15	a	a	DET
american_scientific_journal-3632	450	16	system	system	NOUN
american_scientific_journal-3632	450	17	of	of	ADP
american_scientific_journal-3632	450	18	differential	differential	ADJ
american_scientific_journal-3632	450	19	equations	equation	NOUN
american_scientific_journal-3632	450	20	if	if	SCONJ
american_scientific_journal-3632	450	21	every	every	DET
american_scientific_journal-3632	450	22	solution	solution	NOUN
american_scientific_journal-3632	450	23	that	that	PRON
american_scientific_journal-3632	450	24	stats	stat	VERB
american_scientific_journal-3632	450	25	on	on	ADP
american_scientific_journal-3632	450	26	s	s	VERB
american_scientific_journal-3632	450	27	does	do	AUX
american_scientific_journal-3632	450	28	not	not	PART
american_scientific_journal-3632	450	29	escape	escape	VERB
american_scientific_journal-3632	450	30	s.	s.	PROPN