id	sid	tid	token	lemma	pos
american_scientific_journal-1155	1	1	american	american	PROPN
american_scientific_journal-1155	1	2	scientific	scientific	ADJ
american_scientific_journal-1155	1	3	research	research	NOUN
american_scientific_journal-1155	1	4	journal	journal	NOUN
american_scientific_journal-1155	1	5	for	for	ADP
american_scientific_journal-1155	1	6	engineering	engineering	NOUN
american_scientific_journal-1155	1	7	,	,	PUNCT
american_scientific_journal-1155	1	8	technology	technology	NOUN
american_scientific_journal-1155	1	9	,	,	PUNCT
american_scientific_journal-1155	1	10	and	and	CCONJ
american_scientific_journal-1155	1	11	sciences	science	NOUN
american_scientific_journal-1155	1	12	(	(	PUNCT
american_scientific_journal-1155	1	13	asrjets	asrjet	NOUN
american_scientific_journal-1155	1	14	)	)	PUNCT
american_scientific_journal-1155	1	15	issn	issn	PROPN
american_scientific_journal-1155	1	16	(	(	PUNCT
american_scientific_journal-1155	1	17	print	print	NOUN
american_scientific_journal-1155	1	18	)	)	PUNCT
american_scientific_journal-1155	1	19	2313	2313	NUM
american_scientific_journal-1155	1	20	-	-	SYM
american_scientific_journal-1155	1	21	4410	4410	NUM
american_scientific_journal-1155	1	22	,	,	PUNCT
american_scientific_journal-1155	1	23	issn	issn	PROPN
american_scientific_journal-1155	1	24	(	(	PUNCT
american_scientific_journal-1155	1	25	online	online	ADJ
american_scientific_journal-1155	1	26	)	)	PUNCT
american_scientific_journal-1155	1	27	2313	2313	NUM
american_scientific_journal-1155	1	28	-	-	SYM
american_scientific_journal-1155	1	29	4402	4402	NUM
american_scientific_journal-1155	1	30	©	©	PROPN
american_scientific_journal-1155	1	31	global	global	ADJ
american_scientific_journal-1155	1	32	society	society	NOUN
american_scientific_journal-1155	1	33	of	of	ADP
american_scientific_journal-1155	1	34	scientific	scientific	ADJ
american_scientific_journal-1155	1	35	research	research	NOUN
american_scientific_journal-1155	1	36	and	and	CCONJ
american_scientific_journal-1155	1	37	researchers	researcher	NOUN
american_scientific_journal-1155	1	38	http://asrjetsjournal.org/	http://asrjetsjournal.org/	VERB
american_scientific_journal-1155	1	39	a	a	DET
american_scientific_journal-1155	1	40	note	note	NOUN
american_scientific_journal-1155	1	41	on	on	ADP
american_scientific_journal-1155	1	42	bounded	bounded	ADJ
american_scientific_journal-1155	1	43	solutions	solution	NOUN
american_scientific_journal-1155	1	44	of	of	ADP
american_scientific_journal-1155	1	45	a	a	DET
american_scientific_journal-1155	1	46	generalized	generalize	VERB
american_scientific_journal-1155	1	47	lienard	lienard	ADJ
american_scientific_journal-1155	1	48	type	type	NOUN
american_scientific_journal-1155	1	49	system	system	NOUN
american_scientific_journal-1155	1	50	paulo	paulo	NOUN
american_scientific_journal-1155	1	51	m.	m.	NOUN
american_scientific_journal-1155	1	52	guzmána	guzmána	PROPN
american_scientific_journal-1155	1	53	*	*	PROPN
american_scientific_journal-1155	1	54	,	,	PUNCT
american_scientific_journal-1155	1	55	juan	juan	PROPN
american_scientific_journal-1155	1	56	e.	e.	PROPN
american_scientific_journal-1155	1	57	nápoles	nápoles	PROPN
american_scientific_journal-1155	1	58	valdesb	valdesb	PROPN
american_scientific_journal-1155	1	59	*	*	PUNCT
american_scientific_journal-1155	1	60	,	,	PUNCT
american_scientific_journal-1155	1	61	luciano	luciano	PROPN
american_scientific_journal-1155	1	62	m.	m.	PROPN
american_scientific_journal-1155	1	63	lugo	lugo	PROPN
american_scientific_journal-1155	1	64	motta	motta	PROPN
american_scientific_journal-1155	1	65	bittencurtc	bittencurtc	PROPN
american_scientific_journal-1155	1	66	aunne	aunne	PROPN
american_scientific_journal-1155	1	67	,	,	PUNCT
american_scientific_journal-1155	1	68	facena	facena	PROPN
american_scientific_journal-1155	1	69	,	,	PUNCT
american_scientific_journal-1155	1	70	av	av	PROPN
american_scientific_journal-1155	1	71	.	.	PUNCT
american_scientific_journal-1155	2	1	libertad	libertad	PROPN
american_scientific_journal-1155	2	2	5450	5450	NUM
american_scientific_journal-1155	2	3	,	,	PUNCT
american_scientific_journal-1155	2	4	corrientes	corriente	NOUN
american_scientific_journal-1155	2	5	(	(	PUNCT
american_scientific_journal-1155	2	6	3400	3400	NUM
american_scientific_journal-1155	2	7	)	)	PUNCT
american_scientific_journal-1155	2	8	,	,	PUNCT
american_scientific_journal-1155	2	9	argentina	argentina	PROPN
american_scientific_journal-1155	2	10	.	.	PUNCT
american_scientific_journal-1155	3	1	bunne	bunne	PROPN
american_scientific_journal-1155	3	2	,	,	PUNCT
american_scientific_journal-1155	3	3	facena	facena	PROPN
american_scientific_journal-1155	3	4	,	,	PUNCT
american_scientific_journal-1155	3	5	av	av	PROPN
american_scientific_journal-1155	3	6	.	.	PUNCT
american_scientific_journal-1155	4	1	libertad	libertad	PROPN
american_scientific_journal-1155	4	2	5450	5450	NUM
american_scientific_journal-1155	4	3	,	,	PUNCT
american_scientific_journal-1155	4	4	corrientes	corriente	NOUN
american_scientific_journal-1155	4	5	(	(	PUNCT
american_scientific_journal-1155	4	6	3400	3400	NUM
american_scientific_journal-1155	4	7	)	)	PUNCT
american_scientific_journal-1155	4	8	,	,	PUNCT
american_scientific_journal-1155	4	9	argentina	argentina	PROPN
american_scientific_journal-1155	4	10	.	.	PUNCT
american_scientific_journal-1155	5	1	utn	utn	PROPN
american_scientific_journal-1155	5	2	,	,	PUNCT
american_scientific_journal-1155	5	3	frre	frre	NOUN
american_scientific_journal-1155	5	4	,	,	PUNCT
american_scientific_journal-1155	5	5	french	french	ADJ
american_scientific_journal-1155	5	6	414	414	NUM
american_scientific_journal-1155	5	7	,	,	PUNCT
american_scientific_journal-1155	5	8	resistencia	resistencia	PROPN
american_scientific_journal-1155	5	9	(	(	PUNCT
american_scientific_journal-1155	5	10	3500	3500	NUM
american_scientific_journal-1155	5	11	)	)	PUNCT
american_scientific_journal-1155	5	12	,	,	PUNCT
american_scientific_journal-1155	5	13	chaco	chaco	PROPN
american_scientific_journal-1155	5	14	,	,	PUNCT
american_scientific_journal-1155	5	15	argentina	argentina	PROPN
american_scientific_journal-1155	5	16	cunne	cunne	PROPN
american_scientific_journal-1155	5	17	,	,	PUNCT
american_scientific_journal-1155	5	18	facena	facena	PROPN
american_scientific_journal-1155	5	19	,	,	PUNCT
american_scientific_journal-1155	5	20	av	av	PROPN
american_scientific_journal-1155	5	21	.	.	PUNCT
american_scientific_journal-1155	6	1	libertad	libertad	PROPN
american_scientific_journal-1155	6	2	5450	5450	NUM
american_scientific_journal-1155	6	3	,	,	PUNCT
american_scientific_journal-1155	6	4	corrientes	corriente	NOUN
american_scientific_journal-1155	6	5	(	(	PUNCT
american_scientific_journal-1155	6	6	3400	3400	NUM
american_scientific_journal-1155	6	7	)	)	PUNCT
american_scientific_journal-1155	6	8	,	,	PUNCT
american_scientific_journal-1155	6	9	argentina	argentina	PROPN
american_scientific_journal-1155	6	10	.	.	PUNCT
american_scientific_journal-1155	7	1	aemail	aemail	NOUN
american_scientific_journal-1155	7	2	:	:	PUNCT
american_scientific_journal-1155	8	1	paulomatiasguzman@hotmail.com	paulomatiasguzman@hotmail.com	X
american_scientific_journal-1155	8	2	bemail	bemail	NOUN
american_scientific_journal-1155	8	3	:	:	PUNCT
american_scientific_journal-1155	8	4	jnapoles@frre.utn.edu.ar	jnapoles@frre.utn.edu.ar	PROPN
american_scientific_journal-1155	8	5	cemail	cemail	VERB
american_scientific_journal-1155	8	6	:	:	PUNCT
american_scientific_journal-1155	8	7	lmlmb@yahoo.com.ar	lmlmb@yahoo.com.ar	NOUN
american_scientific_journal-1155	8	8	abstract	abstract	NOUN
american_scientific_journal-1155	8	9	in	in	ADP
american_scientific_journal-1155	8	10	this	this	DET
american_scientific_journal-1155	8	11	paper	paper	NOUN
american_scientific_journal-1155	8	12	we	we	PRON
american_scientific_journal-1155	8	13	study	study	VERB
american_scientific_journal-1155	8	14	the	the	DET
american_scientific_journal-1155	8	15	boundedness	boundedness	NOUN
american_scientific_journal-1155	8	16	of	of	ADP
american_scientific_journal-1155	8	17	solutions	solution	NOUN
american_scientific_journal-1155	8	18	of	of	ADP
american_scientific_journal-1155	8	19	some	some	DET
american_scientific_journal-1155	8	20	generalized	generalized	ADJ
american_scientific_journal-1155	8	21	liénard	liénard	NOUN
american_scientific_journal-1155	8	22	type	type	NOUN
american_scientific_journal-1155	8	23	system	system	NOUN
american_scientific_journal-1155	8	24	under	under	ADP
american_scientific_journal-1155	8	25	non	non	ADJ
american_scientific_journal-1155	8	26	usual	usual	ADJ
american_scientific_journal-1155	8	27	conditions	condition	NOUN
american_scientific_journal-1155	8	28	on	on	ADP
american_scientific_journal-1155	8	29	evolved	evolved	ADJ
american_scientific_journal-1155	8	30	functions	function	NOUN
american_scientific_journal-1155	8	31	using	use	VERB
american_scientific_journal-1155	8	32	the	the	DET
american_scientific_journal-1155	8	33	second	second	ADJ
american_scientific_journal-1155	8	34	method	method	NOUN
american_scientific_journal-1155	8	35	of	of	ADP
american_scientific_journal-1155	8	36	lyapunov	lyapunov	PROPN
american_scientific_journal-1155	8	37	.	.	PUNCT
american_scientific_journal-1155	9	1	keywords	keyword	NOUN
american_scientific_journal-1155	9	2	:	:	PUNCT
american_scientific_journal-1155	9	3	boundedness	boundedness	NOUN
american_scientific_journal-1155	9	4	;	;	PUNCT
american_scientific_journal-1155	9	5	asymptotic	asymptotic	ADJ
american_scientific_journal-1155	9	6	behavior	behavior	NOUN
american_scientific_journal-1155	9	7	;	;	PUNCT
american_scientific_journal-1155	9	8	liénard	liénard	NOUN
american_scientific_journal-1155	9	9	equation	equation	NOUN
american_scientific_journal-1155	9	10	type	type	NOUN
american_scientific_journal-1155	9	11	.	.	PUNCT
american_scientific_journal-1155	10	1	1	1	X
american_scientific_journal-1155	10	2	.	.	X
american_scientific_journal-1155	10	3	introduction	introduction	NOUN
american_scientific_journal-1155	10	4	the	the	DET
american_scientific_journal-1155	10	5	liapunov´s	liapunov´s	ADJ
american_scientific_journal-1155	10	6	second	second	ADJ
american_scientific_journal-1155	10	7	method	method	NOUN
american_scientific_journal-1155	10	8	(	(	PUNCT
american_scientific_journal-1155	10	9	o	o	NOUN
american_scientific_journal-1155	10	10	direct	direct	ADJ
american_scientific_journal-1155	10	11	)	)	PUNCT
american_scientific_journal-1155	10	12	has	have	AUX
american_scientific_journal-1155	10	13	long	long	ADV
american_scientific_journal-1155	10	14	been	be	AUX
american_scientific_journal-1155	10	15	recognized	recognize	VERB
american_scientific_journal-1155	10	16	as	as	ADP
american_scientific_journal-1155	10	17	the	the	DET
american_scientific_journal-1155	10	18	most	most	ADV
american_scientific_journal-1155	10	19	general	general	ADJ
american_scientific_journal-1155	10	20	method	method	NOUN
american_scientific_journal-1155	10	21	for	for	ADP
american_scientific_journal-1155	10	22	the	the	DET
american_scientific_journal-1155	10	23	study	study	NOUN
american_scientific_journal-1155	10	24	of	of	ADP
american_scientific_journal-1155	10	25	the	the	DET
american_scientific_journal-1155	10	26	stability	stability	NOUN
american_scientific_journal-1155	10	27	of	of	ADP
american_scientific_journal-1155	10	28	equilibrium	equilibrium	NOUN
american_scientific_journal-1155	10	29	points	point	NOUN
american_scientific_journal-1155	10	30	of	of	ADP
american_scientific_journal-1155	10	31	systems	system	NOUN
american_scientific_journal-1155	10	32	described	describe	VERB
american_scientific_journal-1155	10	33	by	by	ADP
american_scientific_journal-1155	10	34	differential	differential	ADJ
american_scientific_journal-1155	10	35	equations	equation	NOUN
american_scientific_journal-1155	10	36	.	.	PUNCT
american_scientific_journal-1155	11	1	the	the	DET
american_scientific_journal-1155	11	2	method	method	NOUN
american_scientific_journal-1155	11	3	was	be	AUX
american_scientific_journal-1155	11	4	first	first	ADV
american_scientific_journal-1155	11	5	presented	present	VERB
american_scientific_journal-1155	11	6	in	in	ADP
american_scientific_journal-1155	11	7	his	his	PRON
american_scientific_journal-1155	11	8	classical	classical	ADJ
american_scientific_journal-1155	11	9	memoir	memoir	NOUN
american_scientific_journal-1155	11	10	,	,	PUNCT
american_scientific_journal-1155	11	11	which	which	PRON
american_scientific_journal-1155	11	12	appeared	appear	VERB
american_scientific_journal-1155	11	13	in	in	ADP
american_scientific_journal-1155	11	14	russian	russian	NOUN
american_scientific_journal-1155	11	15	in	in	ADP
american_scientific_journal-1155	11	16	1892	1892	NUM
american_scientific_journal-1155	11	17	and	and	CCONJ
american_scientific_journal-1155	11	18	was	be	AUX
american_scientific_journal-1155	11	19	translated	translate	VERB
american_scientific_journal-1155	11	20	into	into	ADP
american_scientific_journal-1155	11	21	french	french	NOUN
american_scientific_journal-1155	11	22	in	in	ADP
american_scientific_journal-1155	11	23	1907	1907	NUM
american_scientific_journal-1155	11	24	and	and	CCONJ
american_scientific_journal-1155	11	25	english	english	PROPN
american_scientific_journal-1155	11	26	in	in	ADP
american_scientific_journal-1155	11	27	1949	1949	NUM
american_scientific_journal-1155	11	28	[	[	X
american_scientific_journal-1155	11	29	1	1	NUM
american_scientific_journal-1155	11	30	]	]	PUNCT
american_scientific_journal-1155	11	31	.	.	PUNCT
american_scientific_journal-1155	12	1	statements	statement	NOUN
american_scientific_journal-1155	12	2	and	and	CCONJ
american_scientific_journal-1155	12	3	proofs	proof	NOUN
american_scientific_journal-1155	12	4	of	of	ADP
american_scientific_journal-1155	12	5	mathematical	mathematical	ADJ
american_scientific_journal-1155	12	6	results	result	NOUN
american_scientific_journal-1155	12	7	underlying	underlie	VERB
american_scientific_journal-1155	12	8	the	the	DET
american_scientific_journal-1155	12	9	method	method	NOUN
american_scientific_journal-1155	12	10	and	and	CCONJ
american_scientific_journal-1155	12	11	numerous	numerous	ADJ
american_scientific_journal-1155	12	12	examples	example	NOUN
american_scientific_journal-1155	12	13	and	and	CCONJ
american_scientific_journal-1155	12	14	references	reference	NOUN
american_scientific_journal-1155	12	15	can	can	AUX
american_scientific_journal-1155	12	16	be	be	AUX
american_scientific_journal-1155	12	17	found	find	VERB
american_scientific_journal-1155	12	18	in	in	ADP
american_scientific_journal-1155	12	19	the	the	DET
american_scientific_journal-1155	12	20	books	book	NOUN
american_scientific_journal-1155	12	21	of	of	ADP
american_scientific_journal-1155	12	22	antosiewicz	antosiewicz	NOUN
american_scientific_journal-1155	13	1	[	[	X
american_scientific_journal-1155	13	2	2	2	NUM
american_scientific_journal-1155	13	3	]	]	PUNCT
american_scientific_journal-1155	13	4	,	,	PUNCT
american_scientific_journal-1155	13	5	barbashin	barbashin	NOUN
american_scientific_journal-1155	13	6	and	and	CCONJ
american_scientific_journal-1155	13	7	krasovskii	krasovskii	VERB
american_scientific_journal-1155	13	8	[	[	X
american_scientific_journal-1155	13	9	3	3	NUM
american_scientific_journal-1155	13	10	]	]	PUNCT
american_scientific_journal-1155	13	11	,	,	PUNCT
american_scientific_journal-1155	13	12	cesari	cesari	NOUN
american_scientific_journal-1155	14	1	[	[	X
american_scientific_journal-1155	14	2	4	4	NUM
american_scientific_journal-1155	14	3	]	]	PUNCT
american_scientific_journal-1155	14	4	,	,	PUNCT
american_scientific_journal-1155	14	5	demidovich	demidovich	X
american_scientific_journal-1155	15	1	[	[	X
american_scientific_journal-1155	15	2	5	5	NUM
american_scientific_journal-1155	15	3	]	]	PUNCT
american_scientific_journal-1155	15	4	,	,	PUNCT
american_scientific_journal-1155	15	5	hahn	hahn	PROPN
american_scientific_journal-1155	16	1	[	[	X
american_scientific_journal-1155	16	2	6	6	NUM
american_scientific_journal-1155	16	3	]	]	PUNCT
american_scientific_journal-1155	16	4	and	and	CCONJ
american_scientific_journal-1155	16	5	yoshizawa	yoshizawa	PROPN
american_scientific_journal-1155	17	1	[	[	X
american_scientific_journal-1155	17	2	7	7	NUM
american_scientific_journal-1155	17	3	]	]	PUNCT
american_scientific_journal-1155	17	4	and	and	CCONJ
american_scientific_journal-1155	17	5	bibliography	bibliography	NOUN
american_scientific_journal-1155	17	6	listed	list	VERB
american_scientific_journal-1155	17	7	therein	therein	ADV
american_scientific_journal-1155	17	8	.	.	PUNCT
american_scientific_journal-1155	18	1	his	his	PRON
american_scientific_journal-1155	18	2	method	method	NOUN
american_scientific_journal-1155	18	3	is	be	AUX
american_scientific_journal-1155	18	4	a	a	DET
american_scientific_journal-1155	18	5	powerful	powerful	ADJ
american_scientific_journal-1155	18	6	tool	tool	NOUN
american_scientific_journal-1155	18	7	because	because	SCONJ
american_scientific_journal-1155	18	8	his	his	PRON
american_scientific_journal-1155	18	9	simplicity	simplicity	NOUN
american_scientific_journal-1155	18	10	for	for	ADP
american_scientific_journal-1155	18	11	the	the	DET
american_scientific_journal-1155	18	12	research	research	NOUN
american_scientific_journal-1155	18	13	of	of	ADP
american_scientific_journal-1155	18	14	the	the	DET
american_scientific_journal-1155	18	15	stability	stability	NOUN
american_scientific_journal-1155	18	16	.	.	PUNCT
american_scientific_journal-1155	19	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-1155	20	1	*	*	PUNCT
american_scientific_journal-1155	20	2	corresponding	correspond	VERB
american_scientific_journal-1155	20	3	author	author	NOUN
american_scientific_journal-1155	20	4	.	.	PUNCT
american_scientific_journal-1155	21	1	89	89	NUM
american_scientific_journal-1155	21	2	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-1155	21	3	american	american	ADJ
american_scientific_journal-1155	21	4	scientific	scientific	ADJ
american_scientific_journal-1155	21	5	research	research	NOUN
american_scientific_journal-1155	21	6	journal	journal	NOUN
american_scientific_journal-1155	21	7	for	for	ADP
american_scientific_journal-1155	21	8	engineering	engineering	NOUN
american_scientific_journal-1155	21	9	,	,	PUNCT
american_scientific_journal-1155	21	10	technology	technology	NOUN
american_scientific_journal-1155	21	11	,	,	PUNCT
american_scientific_journal-1155	21	12	and	and	CCONJ
american_scientific_journal-1155	21	13	sciences	science	NOUN
american_scientific_journal-1155	21	14	(	(	PUNCT
american_scientific_journal-1155	21	15	asrjets	asrjet	NOUN
american_scientific_journal-1155	21	16	)	)	PUNCT
american_scientific_journal-1155	21	17	(	(	PUNCT
american_scientific_journal-1155	21	18	2016	2016	NUM
american_scientific_journal-1155	21	19	)	)	PUNCT
american_scientific_journal-1155	21	20	volume	volume	NOUN
american_scientific_journal-1155	21	21	17	17	NUM
american_scientific_journal-1155	21	22	,	,	PUNCT
american_scientific_journal-1155	21	23	no	no	DET
american_scientific_journal-1155	21	24	1	1	NUM
american_scientific_journal-1155	21	25	,	,	PUNCT
american_scientific_journal-1155	21	26	pp	pp	ADV
american_scientific_journal-1155	21	27	89	89	NUM
american_scientific_journal-1155	21	28	-	-	SYM
american_scientific_journal-1155	21	29	94	94	NUM
american_scientific_journal-1155	21	30	for	for	ADP
american_scientific_journal-1155	21	31	instance	instance	NOUN
american_scientific_journal-1155	21	32	,	,	PUNCT
american_scientific_journal-1155	21	33	if	if	SCONJ
american_scientific_journal-1155	21	34	within	within	ADP
american_scientific_journal-1155	21	35	a	a	DET
american_scientific_journal-1155	21	36	neighborhood	neighborhood	NOUN
american_scientific_journal-1155	21	37	of	of	ADP
american_scientific_journal-1155	21	38	the	the	DET
american_scientific_journal-1155	21	39	equilibrium	equilibrium	NOUN
american_scientific_journal-1155	21	40	point	point	NOUN
american_scientific_journal-1155	21	41	an	an	DET
american_scientific_journal-1155	21	42	appropriate	appropriate	ADJ
american_scientific_journal-1155	21	43	"	"	PUNCT
american_scientific_journal-1155	21	44	energy	energy	NOUN
american_scientific_journal-1155	21	45	"	"	PUNCT
american_scientific_journal-1155	21	46	function	function	NOUN
american_scientific_journal-1155	21	47	is	be	AUX
american_scientific_journal-1155	21	48	always	always	ADV
american_scientific_journal-1155	21	49	decreasing	decrease	VERB
american_scientific_journal-1155	21	50	we	we	PRON
american_scientific_journal-1155	21	51	expect	expect	VERB
american_scientific_journal-1155	21	52	the	the	DET
american_scientific_journal-1155	21	53	equilibrium	equilibrium	NOUN
american_scientific_journal-1155	21	54	to	to	PART
american_scientific_journal-1155	21	55	be	be	AUX
american_scientific_journal-1155	21	56	asymptotically	asymptotically	ADV
american_scientific_journal-1155	21	57	stable	stable	ADJ
american_scientific_journal-1155	21	58	.	.	PUNCT
american_scientific_journal-1155	22	1	the	the	DET
american_scientific_journal-1155	22	2	second	second	ADJ
american_scientific_journal-1155	22	3	method	method	NOUN
american_scientific_journal-1155	22	4	generalizes	generalize	VERB
american_scientific_journal-1155	22	5	this	this	DET
american_scientific_journal-1155	22	6	idea	idea	NOUN
american_scientific_journal-1155	22	7	,	,	PUNCT
american_scientific_journal-1155	22	8	if	if	SCONJ
american_scientific_journal-1155	22	9	such	such	ADJ
american_scientific_journal-1155	22	10	function	function	NOUN
american_scientific_journal-1155	22	11	𝑽𝑽	𝑽𝑽	PROPN
american_scientific_journal-1155	22	12	(	(	PUNCT
american_scientific_journal-1155	22	13	𝒕𝒕;𝒙𝒙	𝒕𝒕;𝒙𝒙	PROPN
american_scientific_journal-1155	22	14	)	)	PUNCT
american_scientific_journal-1155	22	15	,	,	PUNCT
american_scientific_journal-1155	22	16	called	call	VERB
american_scientific_journal-1155	22	17	liapunov	liapunov	NOUN
american_scientific_journal-1155	22	18	function	function	NOUN
american_scientific_journal-1155	22	19	,	,	PUNCT
american_scientific_journal-1155	22	20	can	can	AUX
american_scientific_journal-1155	22	21	be	be	AUX
american_scientific_journal-1155	22	22	constructed	construct	VERB
american_scientific_journal-1155	22	23	for	for	ADP
american_scientific_journal-1155	22	24	the	the	DET
american_scientific_journal-1155	22	25	system	system	NOUN
american_scientific_journal-1155	22	26	(	(	PUNCT
american_scientific_journal-1155	22	27	or	or	CCONJ
american_scientific_journal-1155	22	28	equation	equation	NOUN
american_scientific_journal-1155	22	29	)	)	PUNCT
american_scientific_journal-1155	22	30	in	in	ADP
american_scientific_journal-1155	22	31	a	a	DET
american_scientific_journal-1155	22	32	neighborhood	neighborhood	NOUN
american_scientific_journal-1155	22	33	of	of	ADP
american_scientific_journal-1155	22	34	the	the	DET
american_scientific_journal-1155	22	35	equilibrium	equilibrium	NOUN
american_scientific_journal-1155	22	36	point	point	NOUN
american_scientific_journal-1155	22	37	and	and	CCONJ
american_scientific_journal-1155	22	38	if	if	SCONJ
american_scientific_journal-1155	22	39	in	in	ADP
american_scientific_journal-1155	22	40	that	that	DET
american_scientific_journal-1155	22	41	neighborhood	neighborhood	NOUN
american_scientific_journal-1155	22	42	𝑽𝑽′(𝒕𝒕,𝒙𝒙	𝑽𝑽′(𝒕𝒕,𝒙𝒙	NOUN
american_scientific_journal-1155	22	43	)	)	PUNCT
american_scientific_journal-1155	22	44	≤	≤	NUM
american_scientific_journal-1155	22	45	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-1155	22	46	for	for	ADP
american_scientific_journal-1155	22	47	𝒙𝒙	𝒙𝒙	PRON
american_scientific_journal-1155	22	48	≠	≠	PROPN
american_scientific_journal-1155	22	49	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-1155	22	50	being	be	AUX
american_scientific_journal-1155	22	51	𝑽𝑽	𝑽𝑽	PROPN
american_scientific_journal-1155	22	52	(	(	PUNCT
american_scientific_journal-1155	22	53	𝒕𝒕	𝒕𝒕	INTJ
american_scientific_journal-1155	22	54	;	;	PUNCT
american_scientific_journal-1155	22	55	𝒙𝒙	𝒙𝒙	NOUN
american_scientific_journal-1155	22	56	)	)	PUNCT
american_scientific_journal-1155	22	57	positive	positive	ADJ
american_scientific_journal-1155	22	58	defined	define	VERB
american_scientific_journal-1155	22	59	,	,	PUNCT
american_scientific_journal-1155	22	60	then	then	ADV
american_scientific_journal-1155	22	61	the	the	DET
american_scientific_journal-1155	22	62	equilibrium	equilibrium	NOUN
american_scientific_journal-1155	22	63	point	point	NOUN
american_scientific_journal-1155	22	64	is	be	AUX
american_scientific_journal-1155	22	65	asymptotically	asymptotically	ADV
american_scientific_journal-1155	22	66	stable	stable	ADJ
american_scientific_journal-1155	22	67	.	.	PUNCT
american_scientific_journal-1155	23	1	if	if	SCONJ
american_scientific_journal-1155	23	2	one	one	PRON
american_scientific_journal-1155	23	3	knows	know	VERB
american_scientific_journal-1155	23	4	only	only	ADV
american_scientific_journal-1155	23	5	that	that	PRON
american_scientific_journal-1155	23	6	𝑽𝑽′(𝒕𝒕,𝒙𝒙	𝑽𝑽′(𝒕𝒕,𝒙𝒙	NOUN
american_scientific_journal-1155	23	7	)	)	PUNCT
american_scientific_journal-1155	23	8	≤	≤	NOUN
american_scientific_journal-1155	23	9	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-1155	23	10	for	for	ADP
american_scientific_journal-1155	23	11	𝒙𝒙	𝒙𝒙	PRON
american_scientific_journal-1155	23	12	≠	≠	PROPN
american_scientific_journal-1155	23	13	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-1155	23	14	,	,	PUNCT
american_scientific_journal-1155	23	15	then	then	ADV
american_scientific_journal-1155	23	16	,	,	PUNCT
american_scientific_journal-1155	23	17	in	in	ADP
american_scientific_journal-1155	23	18	general	general	ADJ
american_scientific_journal-1155	23	19	,	,	PUNCT
american_scientific_journal-1155	23	20	one	one	PRON
american_scientific_journal-1155	23	21	can	can	AUX
american_scientific_journal-1155	23	22	conclude	conclude	VERB
american_scientific_journal-1155	23	23	only	only	ADV
american_scientific_journal-1155	23	24	the	the	DET
american_scientific_journal-1155	23	25	origin	origin	NOUN
american_scientific_journal-1155	23	26	is	be	AUX
american_scientific_journal-1155	23	27	stable	stable	ADJ
american_scientific_journal-1155	23	28	.	.	PUNCT
american_scientific_journal-1155	24	1	the	the	DET
american_scientific_journal-1155	24	2	above	above	ADJ
american_scientific_journal-1155	24	3	need	need	VERB
american_scientific_journal-1155	24	4	some	some	DET
american_scientific_journal-1155	24	5	clarifications	clarification	NOUN
american_scientific_journal-1155	24	6	.	.	PUNCT
american_scientific_journal-1155	25	1	𝑽𝑽	𝑽𝑽	PROPN
american_scientific_journal-1155	25	2	(	(	PUNCT
american_scientific_journal-1155	25	3	𝒕𝒕	𝒕𝒕	INTJ
american_scientific_journal-1155	25	4	;	;	PUNCT
american_scientific_journal-1155	25	5	𝒙𝒙	𝒙𝒙	SYM
american_scientific_journal-1155	25	6	)	)	PUNCT
american_scientific_journal-1155	25	7	denote	denote	VERB
american_scientific_journal-1155	25	8	an	an	DET
american_scientific_journal-1155	25	9	arbitrary	arbitrary	ADJ
american_scientific_journal-1155	25	10	liapunov`s	liapunov`s	X
american_scientific_journal-1155	25	11	function	function	NOUN
american_scientific_journal-1155	25	12	defined	define	VERB
american_scientific_journal-1155	25	13	on	on	ADP
american_scientific_journal-1155	25	14	an	an	DET
american_scientific_journal-1155	25	15	open	open	ADJ
american_scientific_journal-1155	25	16	set	set	NOUN
american_scientific_journal-1155	25	17	𝑺𝑺	𝑺𝑺	PROPN
american_scientific_journal-1155	25	18	⊂	⊂	PROPN
american_scientific_journal-1155	25	19	𝑰𝑰𝒙𝒙𝑹𝑹𝒎𝒎	𝑰𝑰𝒙𝒙𝑹𝑹𝒎𝒎	NOUN
american_scientific_journal-1155	25	20	with	with	ADP
american_scientific_journal-1155	25	21	continuous	continuous	ADJ
american_scientific_journal-1155	25	22	partial	partial	ADJ
american_scientific_journal-1155	25	23	derivatives	derivative	NOUN
american_scientific_journal-1155	25	24	with	with	ADP
american_scientific_journal-1155	25	25	respect	respect	NOUN
american_scientific_journal-1155	25	26	to	to	ADP
american_scientific_journal-1155	25	27	all	all	DET
american_scientific_journal-1155	25	28	arguments	argument	NOUN
american_scientific_journal-1155	25	29	,	,	PUNCT
american_scientific_journal-1155	25	30	corresponding	correspond	VERB
american_scientific_journal-1155	25	31	to	to	ADP
american_scientific_journal-1155	25	32	𝑽𝑽	𝑽𝑽	PROPN
american_scientific_journal-1155	25	33	(	(	PUNCT
american_scientific_journal-1155	25	34	𝒕𝒕	𝒕𝒕	INTJ
american_scientific_journal-1155	25	35	;	;	PUNCT
american_scientific_journal-1155	25	36	𝒙𝒙	𝒙𝒙	NOUN
american_scientific_journal-1155	25	37	)	)	PUNCT
american_scientific_journal-1155	25	38	;	;	PUNCT
american_scientific_journal-1155	25	39	and	and	CCONJ
american_scientific_journal-1155	25	40	we	we	PRON
american_scientific_journal-1155	25	41	define	define	VERB
american_scientific_journal-1155	25	42	the	the	DET
american_scientific_journal-1155	25	43	function	function	NOUN
american_scientific_journal-1155	25	44	𝑉𝑉(1	𝑉𝑉(1	NOUN
american_scientific_journal-1155	25	45	)	)	PUNCT
american_scientific_journal-1155	25	46	′	′	NUM
american_scientific_journal-1155	26	1	(	(	PUNCT
american_scientific_journal-1155	26	2	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-1155	26	3	,	,	PUNCT
american_scientific_journal-1155	26	4	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	26	5	)	)	PUNCT
american_scientific_journal-1155	26	6	≔	≔	NOUN
american_scientific_journal-1155	26	7	lim	lim	NOUN
american_scientific_journal-1155	26	8	ℎ→0	ℎ→0	PROPN
american_scientific_journal-1155	26	9	+	+	CCONJ
american_scientific_journal-1155	26	10	𝑠𝑠𝑠𝑠𝑠𝑠	𝑠𝑠𝑠𝑠𝑠𝑠	ADJ
american_scientific_journal-1155	26	11	𝑉𝑉	𝑉𝑉	PROPN
american_scientific_journal-1155	26	12	�	�	PROPN
american_scientific_journal-1155	26	13	𝑡𝑡	𝑡𝑡	NOUN
american_scientific_journal-1155	26	14	+	+	NOUN
american_scientific_journal-1155	26	15	ℎ	ℎ	NOUN
american_scientific_journal-1155	26	16	,	,	PUNCT
american_scientific_journal-1155	26	17	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	26	18	+	+	ADJ
american_scientific_journal-1155	26	19	ℎ𝑓𝑓(𝑡𝑡	ℎ𝑓𝑓(𝑡𝑡	NOUN
american_scientific_journal-1155	26	20	,	,	PUNCT
american_scientific_journal-1155	26	21	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	26	22	)	)	PUNCT
american_scientific_journal-1155	26	23	�	�	PROPN
american_scientific_journal-1155	26	24	−	−	PROPN
american_scientific_journal-1155	26	25	𝑉𝑉(𝑡𝑡	𝑉𝑉(𝑡𝑡	PROPN
american_scientific_journal-1155	26	26	,	,	PUNCT
american_scientific_journal-1155	26	27	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	26	28	)	)	PUNCT
american_scientific_journal-1155	26	29	ℎ	ℎ	NOUN
american_scientific_journal-1155	26	30	,	,	PUNCT
american_scientific_journal-1155	26	31	called	call	VERB
american_scientific_journal-1155	26	32	the	the	DET
american_scientific_journal-1155	26	33	total	total	ADJ
american_scientific_journal-1155	26	34	derivative	derivative	NOUN
american_scientific_journal-1155	26	35	of	of	ADP
american_scientific_journal-1155	26	36	𝑉𝑉	𝑉𝑉	PROPN
american_scientific_journal-1155	26	37	(	(	PUNCT
american_scientific_journal-1155	26	38	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-1155	26	39	;	;	PUNCT
american_scientific_journal-1155	26	40	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	26	41	)	)	PUNCT
american_scientific_journal-1155	26	42	for	for	ADP
american_scientific_journal-1155	26	43	system	system	NOUN
american_scientific_journal-1155	26	44	(	(	PUNCT
american_scientific_journal-1155	26	45	1	1	NUM
american_scientific_journal-1155	26	46	)	)	PUNCT
american_scientific_journal-1155	26	47	.	.	PUNCT
american_scientific_journal-1155	27	1	under	under	ADP
american_scientific_journal-1155	27	2	the	the	DET
american_scientific_journal-1155	27	3	above	above	ADJ
american_scientific_journal-1155	27	4	conditions	condition	NOUN
american_scientific_journal-1155	27	5	,	,	PUNCT
american_scientific_journal-1155	27	6	𝑉𝑉(1	𝑉𝑉(1	NOUN
american_scientific_journal-1155	27	7	)	)	PUNCT
american_scientific_journal-1155	27	8	′	′	NUM
american_scientific_journal-1155	27	9	(	(	PUNCT
american_scientific_journal-1155	27	10	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-1155	27	11	,	,	PUNCT
american_scientific_journal-1155	27	12	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	27	13	)	)	PUNCT
american_scientific_journal-1155	27	14	=	=	PUNCT
american_scientific_journal-1155	27	15	𝜕𝜕𝑉𝑉	𝜕𝜕𝑉𝑉	NOUN
american_scientific_journal-1155	27	16	𝜕𝜕𝑡𝑡	𝜕𝜕𝑡𝑡	NOUN
american_scientific_journal-1155	27	17	+	+	NOUN
american_scientific_journal-1155	27	18	𝜕𝜕𝑉𝑉	𝜕𝜕𝑉𝑉	NOUN
american_scientific_journal-1155	27	19	𝜕𝜕𝑥𝑥	𝜕𝜕𝑥𝑥	ADP
american_scientific_journal-1155	28	1	𝑓𝑓(𝑡𝑡	𝑓𝑓(𝑡𝑡	NOUN
american_scientific_journal-1155	28	2	,	,	PUNCT
american_scientific_journal-1155	28	3	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	28	4	)	)	PUNCT
american_scientific_journal-1155	28	5	.	.	PUNCT
american_scientific_journal-1155	29	1	the	the	DET
american_scientific_journal-1155	29	2	main	main	ADJ
american_scientific_journal-1155	29	3	difficulty	difficulty	NOUN
american_scientific_journal-1155	29	4	is	be	AUX
american_scientific_journal-1155	29	5	to	to	PART
american_scientific_journal-1155	29	6	construct	construct	VERB
american_scientific_journal-1155	29	7	a	a	DET
american_scientific_journal-1155	29	8	suitable	suitable	ADJ
american_scientific_journal-1155	29	9	𝑉𝑉(𝑡𝑡	𝑉𝑉(𝑡𝑡	PROPN
american_scientific_journal-1155	29	10	,	,	PUNCT
american_scientific_journal-1155	29	11	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	29	12	)	)	PUNCT
american_scientific_journal-1155	29	13	,	,	PUNCT
american_scientific_journal-1155	29	14	this	this	PRON
american_scientific_journal-1155	29	15	requires	require	VERB
american_scientific_journal-1155	29	16	experience	experience	NOUN
american_scientific_journal-1155	29	17	and	and	CCONJ
american_scientific_journal-1155	29	18	technique	technique	NOUN
american_scientific_journal-1155	29	19	.	.	PUNCT
american_scientific_journal-1155	30	1	the	the	DET
american_scientific_journal-1155	30	2	classical	classical	ADJ
american_scientific_journal-1155	30	3	liénard	liénard	NOUN
american_scientific_journal-1155	30	4	equation	equation	NOUN
american_scientific_journal-1155	30	5	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	30	6	´	´	NOUN
american_scientific_journal-1155	30	7	´	´	NOUN
american_scientific_journal-1155	30	8	+	+	PUNCT
american_scientific_journal-1155	30	9	𝑓𝑓(𝑥𝑥)𝑥𝑥	𝑓𝑓(𝑥𝑥)𝑥𝑥	NUM
american_scientific_journal-1155	30	10	´	´	NOUN
american_scientific_journal-1155	30	11	+	+	X
american_scientific_journal-1155	30	12	𝑔𝑔(𝑥𝑥	𝑔𝑔(𝑥𝑥	NOUN
american_scientific_journal-1155	30	13	)	)	PUNCT
american_scientific_journal-1155	30	14	=	=	SYM
american_scientific_journal-1155	30	15	0	0	NUM
american_scientific_journal-1155	30	16	,	,	PUNCT
american_scientific_journal-1155	30	17	appears	appear	VERB
american_scientific_journal-1155	30	18	as	as	ADP
american_scientific_journal-1155	30	19	simplified	simplified	ADJ
american_scientific_journal-1155	30	20	model	model	NOUN
american_scientific_journal-1155	30	21	in	in	ADP
american_scientific_journal-1155	30	22	many	many	ADJ
american_scientific_journal-1155	30	23	domains	domain	NOUN
american_scientific_journal-1155	30	24	in	in	ADP
american_scientific_journal-1155	30	25	science	science	NOUN
american_scientific_journal-1155	30	26	and	and	CCONJ
american_scientific_journal-1155	30	27	engineering	engineering	NOUN
american_scientific_journal-1155	30	28	[	[	X
american_scientific_journal-1155	30	29	8	8	NUM
american_scientific_journal-1155	30	30	]	]	PUNCT
american_scientific_journal-1155	30	31	.	.	PUNCT
american_scientific_journal-1155	31	1	it	it	PRON
american_scientific_journal-1155	31	2	was	be	AUX
american_scientific_journal-1155	31	3	intensively	intensively	ADV
american_scientific_journal-1155	31	4	studied	study	VERB
american_scientific_journal-1155	31	5	during	during	ADP
american_scientific_journal-1155	31	6	the	the	DET
american_scientific_journal-1155	31	7	first	first	ADJ
american_scientific_journal-1155	31	8	half	half	NOUN
american_scientific_journal-1155	31	9	of	of	ADP
american_scientific_journal-1155	31	10	20th	20th	ADJ
american_scientific_journal-1155	31	11	century	century	NOUN
american_scientific_journal-1155	31	12	as	as	SCONJ
american_scientific_journal-1155	31	13	it	it	PRON
american_scientific_journal-1155	31	14	can	can	AUX
american_scientific_journal-1155	31	15	be	be	AUX
american_scientific_journal-1155	31	16	used	use	VERB
american_scientific_journal-1155	31	17	to	to	PART
american_scientific_journal-1155	31	18	model	model	VERB
american_scientific_journal-1155	31	19	oscillating	oscillate	VERB
american_scientific_journal-1155	31	20	circuits	circuit	NOUN
american_scientific_journal-1155	31	21	or	or	CCONJ
american_scientific_journal-1155	31	22	simple	simple	ADJ
american_scientific_journal-1155	31	23	pendulums	pendulum	NOUN
american_scientific_journal-1155	31	24	.	.	PUNCT
american_scientific_journal-1155	32	1	in	in	ADP
american_scientific_journal-1155	32	2	the	the	DET
american_scientific_journal-1155	32	3	simple	simple	ADJ
american_scientific_journal-1155	32	4	pendulum	pendulum	NOUN
american_scientific_journal-1155	32	5	case	case	NOUN
american_scientific_journal-1155	32	6	,	,	PUNCT
american_scientific_journal-1155	32	7	𝑓𝑓	𝑓𝑓	NOUN
american_scientific_journal-1155	32	8	and	and	CCONJ
american_scientific_journal-1155	32	9	𝑔𝑔	𝑔𝑔	PROPN
american_scientific_journal-1155	32	10	represents	represent	VERB
american_scientific_journal-1155	32	11	the	the	DET
american_scientific_journal-1155	32	12	friction	friction	NOUN
american_scientific_journal-1155	32	13	and	and	CCONJ
american_scientific_journal-1155	32	14	acceleration	acceleration	NOUN
american_scientific_journal-1155	32	15	terms	term	NOUN
american_scientific_journal-1155	32	16	.	.	PUNCT
american_scientific_journal-1155	33	1	one	one	NUM
american_scientific_journal-1155	33	2	of	of	ADP
american_scientific_journal-1155	33	3	the	the	DET
american_scientific_journal-1155	33	4	first	first	ADJ
american_scientific_journal-1155	33	5	models	model	NOUN
american_scientific_journal-1155	33	6	where	where	SCONJ
american_scientific_journal-1155	33	7	this	this	DET
american_scientific_journal-1155	33	8	equation	equation	NOUN
american_scientific_journal-1155	33	9	appears	appear	VERB
american_scientific_journal-1155	33	10	was	be	AUX
american_scientific_journal-1155	33	11	introduced	introduce	VERB
american_scientific_journal-1155	33	12	by	by	ADP
american_scientific_journal-1155	33	13	balthasar	balthasar	PROPN
american_scientific_journal-1155	33	14	van	van	PROPN
american_scientific_journal-1155	33	15	del	del	PROPN
american_scientific_journal-1155	33	16	pol	pol	PROPN
american_scientific_journal-1155	33	17	[	[	X
american_scientific_journal-1155	33	18	9,10	9,10	NUM
american_scientific_journal-1155	33	19	]	]	PUNCT
american_scientific_journal-1155	33	20	,	,	PUNCT
american_scientific_journal-1155	33	21	considering	consider	VERB
american_scientific_journal-1155	33	22	the	the	DET
american_scientific_journal-1155	33	23	equation	equation	NOUN
american_scientific_journal-1155	33	24	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	33	25	´	´	NOUN
american_scientific_journal-1155	33	26	´	´	NOUN
american_scientific_journal-1155	33	27	+	+	CCONJ
american_scientific_journal-1155	33	28	𝜇𝜇(𝑥𝑥2	𝜇𝜇(𝑥𝑥2	NUM
american_scientific_journal-1155	33	29	−	−	NOUN
american_scientific_journal-1155	33	30	1)𝑥𝑥	1)𝑥𝑥	NUM
american_scientific_journal-1155	33	31	´	´	NOUN
american_scientific_journal-1155	33	32	+	+	X
american_scientific_journal-1155	33	33	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	33	34	=	=	NOUN
american_scientific_journal-1155	33	35	0	0	NUM
american_scientific_journal-1155	33	36	,	,	PUNCT
american_scientific_journal-1155	33	37	for	for	ADP
american_scientific_journal-1155	33	38	modeling	model	VERB
american_scientific_journal-1155	33	39	the	the	DET
american_scientific_journal-1155	33	40	oscillations	oscillation	NOUN
american_scientific_journal-1155	33	41	of	of	ADP
american_scientific_journal-1155	33	42	a	a	DET
american_scientific_journal-1155	33	43	triode	triode	NOUN
american_scientific_journal-1155	33	44	vacuum	vacuum	NOUN
american_scientific_journal-1155	33	45	tube	tube	NOUN
american_scientific_journal-1155	33	46	.	.	PUNCT
american_scientific_journal-1155	34	1	the	the	DET
american_scientific_journal-1155	34	2	liénard	liénard	PROPN
american_scientific_journal-1155	34	3	equation	equation	NOUN
american_scientific_journal-1155	34	4	,	,	PUNCT
american_scientific_journal-1155	34	5	which	which	PRON
american_scientific_journal-1155	34	6	is	be	AUX
american_scientific_journal-1155	34	7	often	often	ADV
american_scientific_journal-1155	34	8	taken	take	VERB
american_scientific_journal-1155	34	9	as	as	ADP
american_scientific_journal-1155	34	10	the	the	DET
american_scientific_journal-1155	34	11	typical	typical	ADJ
american_scientific_journal-1155	34	12	example	example	NOUN
american_scientific_journal-1155	34	13	of	of	ADP
american_scientific_journal-1155	34	14	nonlinear	nonlinear	ADJ
american_scientific_journal-1155	34	15	self	self	NOUN
american_scientific_journal-1155	34	16	-	-	PUNCT
american_scientific_journal-1155	34	17	excited	excite	VERB
american_scientific_journal-1155	34	18	vibration	vibration	NOUN
american_scientific_journal-1155	34	19	problem	problem	NOUN
american_scientific_journal-1155	34	20	,	,	PUNCT
american_scientific_journal-1155	34	21	can	can	AUX
american_scientific_journal-1155	34	22	be	be	AUX
american_scientific_journal-1155	34	23	used	use	VERB
american_scientific_journal-1155	34	24	to	to	PART
american_scientific_journal-1155	34	25	model	model	NOUN
american_scientific_journal-1155	34	26	resistor	resistor	NOUN
american_scientific_journal-1155	34	27	-	-	PUNCT
american_scientific_journal-1155	34	28	inductor	inductor	NOUN
american_scientific_journal-1155	34	29	-	-	PUNCT
american_scientific_journal-1155	34	30	capacitor	capacitor	NOUN
american_scientific_journal-1155	34	31	circuits	circuit	NOUN
american_scientific_journal-1155	34	32	with	with	ADP
american_scientific_journal-1155	34	33	nonlinear	nonlinear	ADJ
american_scientific_journal-1155	34	34	circuit	circuit	NOUN
american_scientific_journal-1155	34	35	elements	element	NOUN
american_scientific_journal-1155	34	36	.	.	PUNCT
american_scientific_journal-1155	35	1	it	it	PRON
american_scientific_journal-1155	35	2	can	can	AUX
american_scientific_journal-1155	35	3	also	also	ADV
american_scientific_journal-1155	35	4	be	be	AUX
american_scientific_journal-1155	35	5	used	use	VERB
american_scientific_journal-1155	35	6	to	to	PART
american_scientific_journal-1155	35	7	model	model	VERB
american_scientific_journal-1155	35	8	certain	certain	ADJ
american_scientific_journal-1155	35	9	mechanical	mechanical	ADJ
american_scientific_journal-1155	35	10	systems	system	NOUN
american_scientific_journal-1155	35	11	which	which	PRON
american_scientific_journal-1155	35	12	contain	contain	VERB
american_scientific_journal-1155	35	13	the	the	DET
american_scientific_journal-1155	35	14	nonlinear	nonlinear	ADJ
american_scientific_journal-1155	35	15	damping	damp	VERB
american_scientific_journal-1155	35	16	coefficients	coefficient	NOUN
american_scientific_journal-1155	35	17	and	and	CCONJ
american_scientific_journal-1155	35	18	the	the	DET
american_scientific_journal-1155	35	19	restoring	restore	VERB
american_scientific_journal-1155	35	20	force	force	NOUN
american_scientific_journal-1155	35	21	or	or	CCONJ
american_scientific_journal-1155	35	22	stiffness	stiffness	NOUN
american_scientific_journal-1155	35	23	.	.	PUNCT
american_scientific_journal-1155	36	1	moreover	moreover	ADV
american_scientific_journal-1155	36	2	,	,	PUNCT
american_scientific_journal-1155	36	3	some	some	DET
american_scientific_journal-1155	36	4	nonlinear	nonlinear	ADJ
american_scientific_journal-1155	36	5	evolution	evolution	NOUN
american_scientific_journal-1155	36	6	equations	equation	NOUN
american_scientific_journal-1155	36	7	(	(	PUNCT
american_scientific_journal-1155	36	8	such	such	ADJ
american_scientific_journal-1155	36	9	as	as	ADP
american_scientific_journal-1155	36	10	the	the	DET
american_scientific_journal-1155	36	11	burguers	burguer	NOUN
american_scientific_journal-1155	36	12	korteweg	korteweg	PROPN
american_scientific_journal-1155	36	13	de	de	PROPN
american_scientific_journal-1155	36	14	vries	vries	PROPN
american_scientific_journal-1155	36	15	equation	equation	NOUN
american_scientific_journal-1155	36	16	)	)	PUNCT
american_scientific_journal-1155	36	17	which	which	PRON
american_scientific_journal-1155	36	18	arise	arise	VERB
american_scientific_journal-1155	36	19	from	from	ADP
american_scientific_journal-1155	36	20	various	various	ADJ
american_scientific_journal-1155	36	21	physical	physical	ADJ
american_scientific_journal-1155	36	22	phenomena	phenomenon	NOUN
american_scientific_journal-1155	36	23	can	can	AUX
american_scientific_journal-1155	36	24	also	also	ADV
american_scientific_journal-1155	36	25	be	be	AUX
american_scientific_journal-1155	36	26	transformed	transform	VERB
american_scientific_journal-1155	36	27	to	to	ADP
american_scientific_journal-1155	36	28	equation	equation	NOUN
american_scientific_journal-1155	36	29	(	(	PUNCT
american_scientific_journal-1155	36	30	3	3	NUM
american_scientific_journal-1155	36	31	)	)	PUNCT
american_scientific_journal-1155	36	32	.	.	PUNCT
american_scientific_journal-1155	37	1	therefore	therefore	ADV
american_scientific_journal-1155	37	2	,	,	PUNCT
american_scientific_journal-1155	37	3	the	the	DET
american_scientific_journal-1155	37	4	study	study	NOUN
american_scientific_journal-1155	37	5	of	of	ADP
american_scientific_journal-1155	37	6	equation	equation	NOUN
american_scientific_journal-1155	37	7	(	(	PUNCT
american_scientific_journal-1155	37	8	3	3	X
american_scientific_journal-1155	37	9	)	)	PUNCT
american_scientific_journal-1155	37	10	is	be	AUX
american_scientific_journal-1155	37	11	of	of	ADP
american_scientific_journal-1155	37	12	physical	physical	ADJ
american_scientific_journal-1155	37	13	significance	significance	NOUN
american_scientific_journal-1155	37	14	.	.	PUNCT
american_scientific_journal-1155	38	1	we	we	PRON
american_scientific_journal-1155	38	2	recommend	recommend	VERB
american_scientific_journal-1155	38	3	[	[	X
american_scientific_journal-1155	38	4	11	11	NUM
american_scientific_journal-1155	38	5	]	]	PUNCT
american_scientific_journal-1155	38	6	for	for	ADP
american_scientific_journal-1155	38	7	other	other	ADJ
american_scientific_journal-1155	38	8	references	reference	NOUN
american_scientific_journal-1155	38	9	about	about	ADP
american_scientific_journal-1155	38	10	more	more	ADJ
american_scientific_journal-1155	38	11	applications	application	NOUN
american_scientific_journal-1155	38	12	.	.	PUNCT
american_scientific_journal-1155	39	1	the	the	DET
american_scientific_journal-1155	39	2	main	main	ADJ
american_scientific_journal-1155	39	3	purpose	purpose	NOUN
american_scientific_journal-1155	39	4	of	of	ADP
american_scientific_journal-1155	39	5	this	this	DET
american_scientific_journal-1155	39	6	note	note	NOUN
american_scientific_journal-1155	39	7	is	be	AUX
american_scientific_journal-1155	39	8	to	to	PART
american_scientific_journal-1155	39	9	present	present	VERB
american_scientific_journal-1155	39	10	two	two	NUM
american_scientific_journal-1155	39	11	results	result	NOUN
american_scientific_journal-1155	39	12	about	about	ADP
american_scientific_journal-1155	39	13	the	the	DET
american_scientific_journal-1155	39	14	existence	existence	NOUN
american_scientific_journal-1155	39	15	of	of	ADP
american_scientific_journal-1155	39	16	bounded	bounded	ADJ
american_scientific_journal-1155	39	17	solutions	solution	NOUN
american_scientific_journal-1155	39	18	of	of	ADP
american_scientific_journal-1155	39	19	system	system	NOUN
american_scientific_journal-1155	39	20	90	90	NUM
american_scientific_journal-1155	39	21	american	american	ADJ
american_scientific_journal-1155	39	22	scientific	scientific	ADJ
american_scientific_journal-1155	39	23	research	research	NOUN
american_scientific_journal-1155	39	24	journal	journal	NOUN
american_scientific_journal-1155	39	25	for	for	ADP
american_scientific_journal-1155	39	26	engineering	engineering	NOUN
american_scientific_journal-1155	39	27	,	,	PUNCT
american_scientific_journal-1155	39	28	technology	technology	NOUN
american_scientific_journal-1155	39	29	,	,	PUNCT
american_scientific_journal-1155	39	30	and	and	CCONJ
american_scientific_journal-1155	39	31	sciences	science	NOUN
american_scientific_journal-1155	39	32	(	(	PUNCT
american_scientific_journal-1155	39	33	asrjets	asrjet	NOUN
american_scientific_journal-1155	39	34	)	)	PUNCT
american_scientific_journal-1155	39	35	(	(	PUNCT
american_scientific_journal-1155	39	36	2016	2016	NUM
american_scientific_journal-1155	39	37	)	)	PUNCT
american_scientific_journal-1155	39	38	volume	volume	NOUN
american_scientific_journal-1155	39	39	17	17	NUM
american_scientific_journal-1155	39	40	,	,	PUNCT
american_scientific_journal-1155	39	41	no	no	DET
american_scientific_journal-1155	39	42	1	1	NUM
american_scientific_journal-1155	39	43	,	,	PUNCT
american_scientific_journal-1155	39	44	pp	pp	ADV
american_scientific_journal-1155	39	45	89	89	NUM
american_scientific_journal-1155	39	46	-	-	SYM
american_scientific_journal-1155	39	47	94	94	NUM
american_scientific_journal-1155	39	48	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	39	49	´	´	NOUN
american_scientific_journal-1155	39	50	=	=	SYM
american_scientific_journal-1155	39	51	𝛼𝛼(𝑦𝑦	𝛼𝛼(𝑦𝑦	PROPN
american_scientific_journal-1155	39	52	)	)	PUNCT
american_scientific_journal-1155	39	53	−	−	PROPN
american_scientific_journal-1155	39	54	𝛽𝛽(𝑦𝑦)𝐹𝐹(𝑥𝑥	𝛽𝛽(𝑦𝑦)𝐹𝐹(𝑥𝑥	PROPN
american_scientific_journal-1155	39	55	)	)	PUNCT
american_scientific_journal-1155	39	56	,	,	PUNCT
american_scientific_journal-1155	39	57	(	(	PUNCT
american_scientific_journal-1155	39	58	1	1	X
american_scientific_journal-1155	39	59	)	)	PUNCT
american_scientific_journal-1155	39	60	𝑦𝑦	𝑦𝑦	PROPN
american_scientific_journal-1155	39	61	´	´	NOUN
american_scientific_journal-1155	39	62	=	=	SYM
american_scientific_journal-1155	39	63	−𝑔𝑔(𝑥𝑥	−𝑔𝑔(𝑥𝑥	NOUN
american_scientific_journal-1155	39	64	)	)	PUNCT
american_scientific_journal-1155	39	65	,	,	PUNCT
american_scientific_journal-1155	39	66	where	where	SCONJ
american_scientific_journal-1155	39	67	𝛼𝛼(𝑦𝑦),𝛽𝛽(𝑦𝑦	𝛼𝛼(𝑦𝑦),𝛽𝛽(𝑦𝑦	NOUN
american_scientific_journal-1155	39	68	)	)	PUNCT
american_scientific_journal-1155	39	69	,	,	PUNCT
american_scientific_journal-1155	39	70	𝑓𝑓(𝑥𝑥	𝑓𝑓(𝑥𝑥	PROPN
american_scientific_journal-1155	39	71	)	)	PUNCT
american_scientific_journal-1155	39	72	𝑦𝑦	𝑦𝑦	PROPN
american_scientific_journal-1155	39	73	𝑔𝑔(𝑥𝑥	𝑔𝑔(𝑥𝑥	PROPN
american_scientific_journal-1155	39	74	)	)	PUNCT
american_scientific_journal-1155	39	75	are	be	AUX
american_scientific_journal-1155	39	76	continuous	continuous	ADJ
american_scientific_journal-1155	39	77	functions	function	NOUN
american_scientific_journal-1155	39	78	that	that	PRON
american_scientific_journal-1155	39	79	satisfies	satisfy	VERB
american_scientific_journal-1155	39	80	the	the	DET
american_scientific_journal-1155	39	81	following	follow	VERB
american_scientific_journal-1155	39	82	conditions	condition	NOUN
american_scientific_journal-1155	39	83	:	:	PUNCT
american_scientific_journal-1155	39	84	𝑥𝑥𝑓𝑓(𝑥𝑥	𝑥𝑥𝑓𝑓(𝑥𝑥	PROPN
american_scientific_journal-1155	39	85	)	)	PUNCT
american_scientific_journal-1155	39	86	>	>	X
american_scientific_journal-1155	39	87	0	0	NUM
american_scientific_journal-1155	39	88	,	,	PUNCT
american_scientific_journal-1155	39	89	𝑥𝑥𝑔𝑔(𝑥𝑥	𝑥𝑥𝑔𝑔(𝑥𝑥	NOUN
american_scientific_journal-1155	39	90	)	)	PUNCT
american_scientific_journal-1155	39	91	>	>	X
american_scientific_journal-1155	39	92	0,𝑦𝑦𝛼𝛼(𝑦𝑦	0,𝑦𝑦𝛼𝛼(𝑦𝑦	NUM
american_scientific_journal-1155	39	93	)	)	PUNCT
american_scientific_journal-1155	39	94	>	>	X
american_scientific_journal-1155	40	1	0,𝑦𝑦𝛽𝛽(𝑦𝑦	0,𝑦𝑦𝛽𝛽(𝑦𝑦	NUM
american_scientific_journal-1155	40	2	)	)	PUNCT
american_scientific_journal-1155	40	3	>	>	X
american_scientific_journal-1155	40	4	0	0	PUNCT
american_scientific_journal-1155	41	1	(	(	PUNCT
american_scientific_journal-1155	41	2	2	2	NUM
american_scientific_journal-1155	41	3	)	)	PUNCT
american_scientific_journal-1155	41	4	for	for	ADP
american_scientific_journal-1155	41	5	all	all	DET
american_scientific_journal-1155	41	6	𝑥𝑥,𝑦𝑦	𝑥𝑥,𝑦𝑦	ADJ
american_scientific_journal-1155	41	7	≠	≠	NOUN
american_scientific_journal-1155	41	8	0	0	NUM
american_scientific_journal-1155	41	9	and	and	CCONJ
american_scientific_journal-1155	41	10	𝐹𝐹(𝑥𝑥	𝐹𝐹(𝑥𝑥	NUM
american_scientific_journal-1155	41	11	)	)	PUNCT
american_scientific_journal-1155	41	12	=	=	SYM
american_scientific_journal-1155	42	1	∫	∫	PROPN
american_scientific_journal-1155	42	2	𝑓𝑓(𝑠𝑠)𝑑𝑑𝑠𝑠.𝑥𝑥	𝑓𝑓(𝑠𝑠)𝑑𝑑𝑠𝑠.𝑥𝑥	PROPN
american_scientific_journal-1155	42	3	0	0	PUNCT
american_scientific_journal-1155	42	4	clearly	clearly	ADV
american_scientific_journal-1155	42	5	classical	classical	ADJ
american_scientific_journal-1155	42	6	liénard	liénard	NOUN
american_scientific_journal-1155	42	7	equation	equation	NOUN
american_scientific_journal-1155	42	8	is	be	AUX
american_scientific_journal-1155	42	9	a	a	DET
american_scientific_journal-1155	42	10	particular	particular	ADJ
american_scientific_journal-1155	42	11	case	case	NOUN
american_scientific_journal-1155	42	12	of	of	ADP
american_scientific_journal-1155	42	13	system	system	NOUN
american_scientific_journal-1155	42	14	(	(	PUNCT
american_scientific_journal-1155	42	15	1	1	NUM
american_scientific_journal-1155	42	16	)	)	PUNCT
american_scientific_journal-1155	42	17	.	.	PUNCT
american_scientific_journal-1155	43	1	2	2	X
american_scientific_journal-1155	43	2	.	.	X
american_scientific_journal-1155	43	3	results	result	NOUN
american_scientific_journal-1155	43	4	theorem	theorem	VERB
american_scientific_journal-1155	43	5	1	1	X
american_scientific_journal-1155	43	6	.	.	PUNCT
american_scientific_journal-1155	44	1	let	let	VERB
american_scientific_journal-1155	44	2	the	the	DET
american_scientific_journal-1155	44	3	condition	condition	NOUN
american_scientific_journal-1155	44	4	(	(	PUNCT
american_scientific_journal-1155	44	5	2	2	X
american_scientific_journal-1155	44	6	)	)	PUNCT
american_scientific_journal-1155	44	7	be	be	AUX
american_scientific_journal-1155	44	8	satisfied	satisfied	ADJ
american_scientific_journal-1155	44	9	.	.	PUNCT
american_scientific_journal-1155	45	1	then	then	ADV
american_scientific_journal-1155	45	2	every	every	DET
american_scientific_journal-1155	45	3	solution	solution	NOUN
american_scientific_journal-1155	45	4	(	(	PUNCT
american_scientific_journal-1155	45	5	𝑥𝑥(𝑡𝑡),𝑦𝑦(𝑡𝑡	𝑥𝑥(𝑡𝑡),𝑦𝑦(𝑡𝑡	NOUN
american_scientific_journal-1155	45	6	)	)	PUNCT
american_scientific_journal-1155	45	7	)	)	PUNCT
american_scientific_journal-1155	45	8	of	of	ADP
american_scientific_journal-1155	45	9	(	(	PUNCT
american_scientific_journal-1155	45	10	1	1	NUM
american_scientific_journal-1155	45	11	)	)	PUNCT
american_scientific_journal-1155	45	12	,	,	PUNCT
american_scientific_journal-1155	45	13	with	with	ADP
american_scientific_journal-1155	45	14	both	both	PRON
american_scientific_journal-1155	45	15	components	component	NOUN
american_scientific_journal-1155	45	16	positives	positive	NOUN
american_scientific_journal-1155	45	17	in	in	ADP
american_scientific_journal-1155	45	18	𝑡𝑡𝑡𝑡[𝑇𝑇	𝑡𝑡𝑡𝑡[𝑇𝑇	VERB
american_scientific_journal-1155	45	19	−	−	NOUN
american_scientific_journal-1155	45	20	𝛿𝛿,𝑇𝑇	𝛿𝛿,𝑇𝑇	NOUN
american_scientific_journal-1155	45	21	)	)	PUNCT
american_scientific_journal-1155	45	22	is	be	AUX
american_scientific_journal-1155	45	23	continuable	continuable	ADJ
american_scientific_journal-1155	45	24	to	to	ADP
american_scientific_journal-1155	45	25	the	the	DET
american_scientific_journal-1155	45	26	right	right	NOUN
american_scientific_journal-1155	45	27	of	of	ADP
american_scientific_journal-1155	45	28	𝑇𝑇.	𝑇𝑇.	PRON
american_scientific_journal-1155	45	29	proof	proof	NOUN
american_scientific_journal-1155	45	30	.	.	PUNCT
american_scientific_journal-1155	46	1	now	now	ADV
american_scientific_journal-1155	46	2	we	we	PRON
american_scientific_journal-1155	46	3	consider	consider	VERB
american_scientific_journal-1155	46	4	the	the	DET
american_scientific_journal-1155	46	5	following	follow	VERB
american_scientific_journal-1155	46	6	function	function	NOUN
american_scientific_journal-1155	46	7	𝑉𝑉(𝑥𝑥,𝑦𝑦	𝑉𝑉(𝑥𝑥,𝑦𝑦	PROPN
american_scientific_journal-1155	46	8	)	)	PUNCT
american_scientific_journal-1155	47	1	=	=	SYM
american_scientific_journal-1155	47	2	𝐴𝐴(𝑦𝑦	𝐴𝐴(𝑦𝑦	PROPN
american_scientific_journal-1155	47	3	)	)	PUNCT
american_scientific_journal-1155	47	4	+	+	NUM
american_scientific_journal-1155	47	5	𝐺𝐺(𝑥𝑥	𝐺𝐺(𝑥𝑥	NUM
american_scientific_journal-1155	47	6	)	)	PUNCT
american_scientific_journal-1155	47	7	with	with	ADP
american_scientific_journal-1155	47	8	𝐴𝐴(𝑦𝑦	𝐴𝐴(𝑦𝑦	PROPN
american_scientific_journal-1155	47	9	)	)	PUNCT
american_scientific_journal-1155	47	10	=	=	SYM
american_scientific_journal-1155	48	1	∫	∫	PROPN
american_scientific_journal-1155	48	2	𝛼𝛼(𝑦𝑦)𝑑𝑑𝑠𝑠,𝑦𝑦	𝛼𝛼(𝑦𝑦)𝑑𝑑𝑠𝑠,𝑦𝑦	X
american_scientific_journal-1155	48	3	0	0	NUM
american_scientific_journal-1155	48	4	𝐺𝐺(𝑥𝑥	𝐺𝐺(𝑥𝑥	PROPN
american_scientific_journal-1155	48	5	)	)	PUNCT
american_scientific_journal-1155	48	6	=	=	SYM
american_scientific_journal-1155	49	1	∫	∫	PROPN
american_scientific_journal-1155	49	2	𝑔𝑔(𝑠𝑠)𝑑𝑑𝑠𝑠.𝑥𝑥	𝑔𝑔(𝑠𝑠)𝑑𝑑𝑠𝑠.𝑥𝑥	PROPN
american_scientific_journal-1155	49	3	0	0	NUM
american_scientific_journal-1155	49	4	by	by	ADP
american_scientific_journal-1155	49	5	the	the	DET
american_scientific_journal-1155	49	6	conditions	condition	NOUN
american_scientific_journal-1155	49	7	imposed	impose	VERB
american_scientific_journal-1155	49	8	on	on	ADP
american_scientific_journal-1155	49	9	𝛼𝛼(𝑦𝑦	𝛼𝛼(𝑦𝑦	NOUN
american_scientific_journal-1155	49	10	)	)	PUNCT
american_scientific_journal-1155	49	11	and	and	CCONJ
american_scientific_journal-1155	49	12	𝑓𝑓(𝑥𝑥	𝑓𝑓(𝑥𝑥	PROPN
american_scientific_journal-1155	49	13	)	)	PUNCT
american_scientific_journal-1155	49	14	we	we	PRON
american_scientific_journal-1155	49	15	obtain	obtain	VERB
american_scientific_journal-1155	49	16	𝑉𝑉(𝑥𝑥,𝑦𝑦	𝑉𝑉(𝑥𝑥,𝑦𝑦	NOUN
american_scientific_journal-1155	49	17	)	)	PUNCT
american_scientific_journal-1155	49	18	≥	≥	NOUN
american_scientific_journal-1155	49	19	0,∀𝑥𝑥,𝑦𝑦	0,∀𝑥𝑥,𝑦𝑦	VERB
american_scientific_journal-1155	49	20	≠	≠	PROPN
american_scientific_journal-1155	49	21	0	0	NUM
american_scientific_journal-1155	49	22	.	.	PUNCT
american_scientific_journal-1155	49	23	to	to	PART
american_scientific_journal-1155	49	24	verify	verify	VERB
american_scientific_journal-1155	49	25	that	that	SCONJ
american_scientific_journal-1155	49	26	𝑉𝑉	𝑉𝑉	PROPN
american_scientific_journal-1155	49	27	is	be	AUX
american_scientific_journal-1155	49	28	the	the	DET
american_scientific_journal-1155	49	29	required	require	VERB
american_scientific_journal-1155	49	30	lyapunov	lyapunov	NOUN
american_scientific_journal-1155	49	31	function	function	NOUN
american_scientific_journal-1155	49	32	we	we	PRON
american_scientific_journal-1155	49	33	derive	derive	VERB
american_scientific_journal-1155	49	34	throughout	throughout	ADP
american_scientific_journal-1155	49	35	the	the	DET
american_scientific_journal-1155	49	36	system	system	NOUN
american_scientific_journal-1155	49	37	,	,	PUNCT
american_scientific_journal-1155	49	38	and	and	CCONJ
american_scientific_journal-1155	49	39	we	we	PRON
american_scientific_journal-1155	49	40	have	have	VERB
american_scientific_journal-1155	49	41	:	:	PUNCT
american_scientific_journal-1155	49	42	𝑉𝑉(1	𝑉𝑉(1	NOUN
american_scientific_journal-1155	49	43	)	)	PUNCT
american_scientific_journal-1155	49	44	′	′	NUM
american_scientific_journal-1155	49	45	(	(	PUNCT
american_scientific_journal-1155	49	46	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-1155	49	47	,	,	PUNCT
american_scientific_journal-1155	49	48	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	49	49	)	)	PUNCT
american_scientific_journal-1155	49	50	=	=	SYM
american_scientific_journal-1155	50	1	𝛼𝛼(𝑦𝑦)𝑦𝑦	𝛼𝛼(𝑦𝑦)𝑦𝑦	NOUN
american_scientific_journal-1155	50	2	´	´	NOUN
american_scientific_journal-1155	50	3	+	+	X
american_scientific_journal-1155	51	1	𝑔𝑔(𝑥𝑥)𝑥𝑥	𝑔𝑔(𝑥𝑥)𝑥𝑥	ADJ
american_scientific_journal-1155	51	2	´	´	NOUN
american_scientific_journal-1155	51	3	−	−	PROPN
american_scientific_journal-1155	51	4	𝛽𝛽(𝑦𝑦)𝑔𝑔(𝑥𝑥)𝐹𝐹(𝑥𝑥	𝛽𝛽(𝑦𝑦)𝑔𝑔(𝑥𝑥)𝐹𝐹(𝑥𝑥	PROPN
american_scientific_journal-1155	51	5	)	)	PUNCT
american_scientific_journal-1155	51	6	<	<	X
american_scientific_journal-1155	51	7	0	0	X
american_scientific_journal-1155	51	8	.	.	PUNCT
american_scientific_journal-1155	52	1	for	for	ADP
american_scientific_journal-1155	52	2	𝑡𝑡𝑡𝑡[𝑇𝑇	𝑡𝑡𝑡𝑡[𝑇𝑇	VERB
american_scientific_journal-1155	52	3	−	−	NOUN
american_scientific_journal-1155	52	4	𝛿𝛿,𝑇𝑇	𝛿𝛿,𝑇𝑇	NOUN
american_scientific_journal-1155	52	5	)	)	PUNCT
american_scientific_journal-1155	52	6	.	.	PUNCT
american_scientific_journal-1155	53	1	by	by	ADP
american_scientific_journal-1155	53	2	integration	integration	NOUN
american_scientific_journal-1155	53	3	we	we	PRON
american_scientific_journal-1155	53	4	get	get	VERB
american_scientific_journal-1155	53	5	𝑉𝑉(𝑡𝑡	𝑉𝑉(𝑡𝑡	NOUN
american_scientific_journal-1155	53	6	)	)	PUNCT
american_scientific_journal-1155	54	1	=	=	PUNCT
american_scientific_journal-1155	54	2	𝑉𝑉(𝑇𝑇	𝑉𝑉(𝑇𝑇	PROPN
american_scientific_journal-1155	54	3	−	−	PROPN
american_scientific_journal-1155	55	1	𝛿𝛿	𝛿𝛿	PROPN
american_scientific_journal-1155	55	2	)	)	PUNCT
american_scientific_journal-1155	55	3	−	−	PROPN
american_scientific_journal-1155	55	4	�	�	PROPN
american_scientific_journal-1155	55	5	𝛽𝛽	𝛽𝛽	ADP
american_scientific_journal-1155	55	6	�	�	PROPN
american_scientific_journal-1155	55	7	𝑦𝑦(𝑠𝑠)	𝑦𝑦(𝑠𝑠)	PROPN
american_scientific_journal-1155	55	8	�	�	PROPN
american_scientific_journal-1155	55	9	𝑔𝑔	𝑔𝑔	NOUN
american_scientific_journal-1155	55	10	�	�	PROPN
american_scientific_journal-1155	55	11	𝑥𝑥(𝑠𝑠)	𝑥𝑥(𝑠𝑠)	NOUN
american_scientific_journal-1155	55	12	�	�	PROPN
american_scientific_journal-1155	55	13	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	55	14	�	�	NOUN
american_scientific_journal-1155	55	15	𝑥𝑥(𝑠𝑠)	𝑥𝑥(𝑠𝑠)	NOUN
american_scientific_journal-1155	55	16	�	�	NOUN
american_scientific_journal-1155	55	17	𝑑𝑑𝑠𝑠	𝑑𝑑𝑠𝑠	NOUN
american_scientific_journal-1155	55	18	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-1155	55	19	𝑇𝑇−𝛿𝛿	𝑇𝑇−𝛿𝛿	NOUN
american_scientific_journal-1155	55	20	≤	≤	ADJ
american_scientific_journal-1155	56	1	𝑉𝑉(𝑇𝑇	𝑉𝑉(𝑇𝑇	PROPN
american_scientific_journal-1155	56	2	−	−	PROPN
american_scientific_journal-1155	56	3	𝛿𝛿	𝛿𝛿	PROPN
american_scientific_journal-1155	56	4	)	)	PUNCT
american_scientific_journal-1155	56	5	.	.	PUNCT
american_scientific_journal-1155	57	1	then	then	ADV
american_scientific_journal-1155	57	2	0	0	NUM
american_scientific_journal-1155	57	3	<	<	X
american_scientific_journal-1155	57	4	𝐴𝐴(𝑦𝑦	𝐴𝐴(𝑦𝑦	PROPN
american_scientific_journal-1155	57	5	)	)	PUNCT
american_scientific_journal-1155	58	1	+	+	CCONJ
american_scientific_journal-1155	58	2	𝐺𝐺(𝑥𝑥	𝐺𝐺(𝑥𝑥	NUM
american_scientific_journal-1155	58	3	)	)	PUNCT
american_scientific_journal-1155	58	4	≤	≤	NOUN
american_scientific_journal-1155	58	5	𝑉𝑉(𝑡𝑡	𝑉𝑉(𝑡𝑡	PROPN
american_scientific_journal-1155	58	6	−	−	PROPN
american_scientific_journal-1155	58	7	𝛿𝛿	𝛿𝛿	PROPN
american_scientific_journal-1155	58	8	)	)	PUNCT
american_scientific_journal-1155	58	9	⟹	⟹	NUM
american_scientific_journal-1155	58	10	|𝑦𝑦|	|𝑦𝑦|	VERB
american_scientific_journal-1155	58	11	≤	≤	NUM
american_scientific_journal-1155	58	12	𝑘𝑘	𝑘𝑘	NOUN
american_scientific_journal-1155	58	13	,	,	PUNCT
american_scientific_journal-1155	58	14	𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑑𝑑𝑠𝑠	𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑑𝑑𝑠𝑠	ADJ
american_scientific_journal-1155	58	15	𝑘𝑘	𝑘𝑘	NOUN
american_scientific_journal-1155	58	16	=	=	PUNCT
american_scientific_journal-1155	58	17	𝑐𝑐𝑡𝑡𝑠𝑠.	𝑐𝑐𝑡𝑡𝑠𝑠.	ADV
american_scientific_journal-1155	58	18	integrating	integrate	VERB
american_scientific_journal-1155	58	19	the	the	DET
american_scientific_journal-1155	58	20	first	first	ADJ
american_scientific_journal-1155	58	21	equation	equation	NOUN
american_scientific_journal-1155	58	22	of	of	ADP
american_scientific_journal-1155	58	23	the	the	DET
american_scientific_journal-1155	58	24	system	system	NOUN
american_scientific_journal-1155	58	25	(	(	PUNCT
american_scientific_journal-1155	58	26	1.1	1.1	NUM
american_scientific_journal-1155	58	27	)	)	PUNCT
american_scientific_journal-1155	58	28	,	,	PUNCT
american_scientific_journal-1155	58	29	we	we	PRON
american_scientific_journal-1155	58	30	get	get	VERB
american_scientific_journal-1155	58	31	:	:	PUNCT
american_scientific_journal-1155	58	32	𝑥𝑥(𝑡𝑡	𝑥𝑥(𝑡𝑡	NOUN
american_scientific_journal-1155	58	33	)	)	PUNCT
american_scientific_journal-1155	59	1	=	=	PUNCT
american_scientific_journal-1155	59	2	𝑥𝑥(𝑇𝑇	𝑥𝑥(𝑇𝑇	X
american_scientific_journal-1155	60	1	−	−	PROPN
american_scientific_journal-1155	60	2	𝛿𝛿	𝛿𝛿	PROPN
american_scientific_journal-1155	60	3	)	)	PUNCT
american_scientific_journal-1155	60	4	+	+	CCONJ
american_scientific_journal-1155	60	5	�	�	PROPN
american_scientific_journal-1155	60	6	𝛼𝛼(𝑠𝑠)𝑑𝑑𝑠𝑠	𝛼𝛼(𝑠𝑠)𝑑𝑑𝑠𝑠	PROPN
american_scientific_journal-1155	60	7	𝑡𝑡	𝑡𝑡	PROPN
american_scientific_journal-1155	60	8	𝑇𝑇−𝛿𝛿	𝑇𝑇−𝛿𝛿	NOUN
american_scientific_journal-1155	60	9	−	−	PROPN
american_scientific_journal-1155	60	10	�	�	PROPN
american_scientific_journal-1155	60	11	𝛽𝛽	𝛽𝛽	ADP
american_scientific_journal-1155	60	12	�	�	PROPN
american_scientific_journal-1155	60	13	𝑦𝑦(𝑠𝑠)	𝑦𝑦(𝑠𝑠)	PROPN
american_scientific_journal-1155	60	14	�	�	PROPN
american_scientific_journal-1155	60	15	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	60	16	�	�	PROPN
american_scientific_journal-1155	60	17	𝑥𝑥(𝑠𝑠)	𝑥𝑥(𝑠𝑠)	NOUN
american_scientific_journal-1155	60	18	�	�	NOUN
american_scientific_journal-1155	60	19	𝑑𝑑𝑠𝑠	𝑑𝑑𝑠𝑠	NOUN
american_scientific_journal-1155	60	20	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-1155	60	21	𝑇𝑇−𝛿𝛿	𝑇𝑇−𝛿𝛿	NOUN
american_scientific_journal-1155	60	22	,	,	PUNCT
american_scientific_journal-1155	60	23	with	with	ADP
american_scientific_journal-1155	60	24	∫	∫	PROPN
american_scientific_journal-1155	60	25	𝛼𝛼(𝑠𝑠)𝑑𝑑𝑠𝑠𝑡𝑡	𝛼𝛼(𝑠𝑠)𝑑𝑑𝑠𝑠𝑡𝑡	PROPN
american_scientific_journal-1155	60	26	𝑇𝑇−𝛿𝛿	𝑇𝑇−𝛿𝛿	PROPN
american_scientific_journal-1155	60	27	≤	≤	NUM
american_scientific_journal-1155	60	28	𝑐𝑐	𝑐𝑐	NOUN
american_scientific_journal-1155	60	29	,	,	PUNCT
american_scientific_journal-1155	60	30	(	(	PUNCT
american_scientific_journal-1155	60	31	𝑐𝑐	𝑐𝑐	NOUN
american_scientific_journal-1155	60	32	=	=	NOUN
american_scientific_journal-1155	60	33	𝑐𝑐𝑡𝑡𝑠𝑠	𝑐𝑐𝑡𝑡𝑠𝑠	NOUN
american_scientific_journal-1155	60	34	)	)	PUNCT
american_scientific_journal-1155	60	35	because	because	SCONJ
american_scientific_journal-1155	60	36	𝑦𝑦	𝑦𝑦	PROPN
american_scientific_journal-1155	60	37	is	be	AUX
american_scientific_journal-1155	60	38	bounded	bound	VERB
american_scientific_journal-1155	60	39	.	.	PUNCT
american_scientific_journal-1155	61	1	therefore	therefore	ADV
american_scientific_journal-1155	61	2	,	,	PUNCT
american_scientific_journal-1155	61	3	91	91	NUM
american_scientific_journal-1155	61	4	american	american	ADJ
american_scientific_journal-1155	61	5	scientific	scientific	ADJ
american_scientific_journal-1155	61	6	research	research	NOUN
american_scientific_journal-1155	61	7	journal	journal	NOUN
american_scientific_journal-1155	61	8	for	for	ADP
american_scientific_journal-1155	61	9	engineering	engineering	NOUN
american_scientific_journal-1155	61	10	,	,	PUNCT
american_scientific_journal-1155	61	11	technology	technology	NOUN
american_scientific_journal-1155	61	12	,	,	PUNCT
american_scientific_journal-1155	61	13	and	and	CCONJ
american_scientific_journal-1155	61	14	sciences	science	NOUN
american_scientific_journal-1155	61	15	(	(	PUNCT
american_scientific_journal-1155	61	16	asrjets	asrjet	NOUN
american_scientific_journal-1155	61	17	)	)	PUNCT
american_scientific_journal-1155	61	18	(	(	PUNCT
american_scientific_journal-1155	61	19	2016	2016	NUM
american_scientific_journal-1155	61	20	)	)	PUNCT
american_scientific_journal-1155	61	21	volume	volume	NOUN
american_scientific_journal-1155	61	22	17	17	NUM
american_scientific_journal-1155	61	23	,	,	PUNCT
american_scientific_journal-1155	61	24	no	no	DET
american_scientific_journal-1155	61	25	1	1	NUM
american_scientific_journal-1155	61	26	,	,	PUNCT
american_scientific_journal-1155	61	27	pp	pp	ADV
american_scientific_journal-1155	61	28	89	89	NUM
american_scientific_journal-1155	61	29	-	-	SYM
american_scientific_journal-1155	61	30	94	94	NUM
american_scientific_journal-1155	61	31	0	0	NUM
american_scientific_journal-1155	61	32	<	<	X
american_scientific_journal-1155	61	33	𝑥𝑥(𝑡𝑡	𝑥𝑥(𝑡𝑡	NOUN
american_scientific_journal-1155	61	34	)	)	PUNCT
american_scientific_journal-1155	62	1	=	=	PUNCT
american_scientific_journal-1155	62	2	ℎ	ℎ	PART
american_scientific_journal-1155	62	3	−	−	PROPN
american_scientific_journal-1155	62	4	�	�	PROPN
american_scientific_journal-1155	62	5	𝛽𝛽	𝛽𝛽	ADP
american_scientific_journal-1155	62	6	�	�	PROPN
american_scientific_journal-1155	62	7	𝑦𝑦(𝑠𝑠)	𝑦𝑦(𝑠𝑠)	PROPN
american_scientific_journal-1155	62	8	�	�	PROPN
american_scientific_journal-1155	62	9	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	62	10	�	�	PROPN
american_scientific_journal-1155	62	11	𝑥𝑥(𝑠𝑠)	𝑥𝑥(𝑠𝑠)	NOUN
american_scientific_journal-1155	62	12	�	�	NOUN
american_scientific_journal-1155	62	13	𝑑𝑑𝑠𝑠	𝑑𝑑𝑠𝑠	NOUN
american_scientific_journal-1155	62	14	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-1155	62	15	𝑇𝑇−𝛿𝛿	𝑇𝑇−𝛿𝛿	NOUN
american_scientific_journal-1155	62	16	≤	≤	NUM
american_scientific_journal-1155	62	17	ℎ	ℎ	PART
american_scientific_journal-1155	62	18	−	−	PROPN
american_scientific_journal-1155	62	19	𝑏𝑏	𝑏𝑏	NUM
american_scientific_journal-1155	62	20	�	�	PROPN
american_scientific_journal-1155	62	21	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	62	22	�	�	PROPN
american_scientific_journal-1155	62	23	𝑥𝑥(𝑠𝑠)	𝑥𝑥(𝑠𝑠)	NOUN
american_scientific_journal-1155	62	24	�	�	NOUN
american_scientific_journal-1155	62	25	𝑑𝑑𝑠𝑠	𝑑𝑑𝑠𝑠	NOUN
american_scientific_journal-1155	62	26	,	,	PUNCT
american_scientific_journal-1155	62	27	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-1155	62	28	𝑇𝑇−𝛿𝛿	𝑇𝑇−𝛿𝛿	NOUN
american_scientific_journal-1155	62	29	with	with	ADP
american_scientific_journal-1155	62	30	ℎ	ℎ	PROPN
american_scientific_journal-1155	62	31	=	=	SYM
american_scientific_journal-1155	62	32	𝑘𝑘	𝑘𝑘	PROPN
american_scientific_journal-1155	62	33	+	+	CCONJ
american_scientific_journal-1155	62	34	𝑐𝑐.	𝑐𝑐.	X
american_scientific_journal-1155	62	35	if	if	SCONJ
american_scientific_journal-1155	62	36	∫	∫	PROPN
american_scientific_journal-1155	62	37	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	62	38	�	�	PROPN
american_scientific_journal-1155	62	39	𝑥𝑥(𝑠𝑠)	𝑥𝑥(𝑠𝑠)	NOUN
american_scientific_journal-1155	62	40	�	�	NOUN
american_scientific_journal-1155	62	41	𝑑𝑑𝑠𝑠𝑡𝑡	𝑑𝑑𝑠𝑠𝑡𝑡	NOUN
american_scientific_journal-1155	62	42	𝑇𝑇−𝛿𝛿	𝑇𝑇−𝛿𝛿	PUNCT
american_scientific_journal-1155	63	1	=	=	SYM
american_scientific_journal-1155	63	2	∞	∞	NUM
american_scientific_journal-1155	63	3	we	we	PRON
american_scientific_journal-1155	63	4	have	have	VERB
american_scientific_journal-1155	63	5	𝑥𝑥(𝑡𝑡	𝑥𝑥(𝑡𝑡	NOUN
american_scientific_journal-1155	63	6	)	)	PUNCT
american_scientific_journal-1155	63	7	<	<	X
american_scientific_journal-1155	63	8	0	0	PUNCT
american_scientific_journal-1155	63	9	in	in	ADP
american_scientific_journal-1155	63	10	[	[	PUNCT
american_scientific_journal-1155	63	11	𝑇𝑇	𝑇𝑇	PROPN
american_scientific_journal-1155	63	12	−	−	NUM
american_scientific_journal-1155	63	13	𝛿𝛿,𝑇𝑇	𝛿𝛿,𝑇𝑇	NOUN
american_scientific_journal-1155	63	14	)	)	PUNCT
american_scientific_journal-1155	63	15	.	.	PUNCT
american_scientific_journal-1155	64	1	which	which	PRON
american_scientific_journal-1155	64	2	contradicts	contradict	VERB
american_scientific_journal-1155	64	3	the	the	DET
american_scientific_journal-1155	64	4	assumption	assumption	NOUN
american_scientific_journal-1155	64	5	that	that	SCONJ
american_scientific_journal-1155	64	6	𝑥𝑥(𝑡𝑡	𝑥𝑥(𝑡𝑡	NOUN
american_scientific_journal-1155	64	7	)	)	PUNCT
american_scientific_journal-1155	64	8	is	be	AUX
american_scientific_journal-1155	64	9	positive	positive	ADJ
american_scientific_journal-1155	64	10	in	in	ADP
american_scientific_journal-1155	64	11	[	[	PUNCT
american_scientific_journal-1155	64	12	𝑇𝑇	𝑇𝑇	PROPN
american_scientific_journal-1155	64	13	−	−	NUM
american_scientific_journal-1155	64	14	𝛿𝛿,𝑇𝑇	𝛿𝛿,𝑇𝑇	NOUN
american_scientific_journal-1155	64	15	)	)	PUNCT
american_scientific_journal-1155	64	16	.	.	PUNCT
american_scientific_journal-1155	65	1	hence	hence	ADV
american_scientific_journal-1155	65	2	𝑥𝑥	𝑥𝑥	ADV
american_scientific_journal-1155	65	3	is	be	AUX
american_scientific_journal-1155	65	4	bounded	bound	VERB
american_scientific_journal-1155	65	5	.	.	PUNCT
american_scientific_journal-1155	66	1	the	the	DET
american_scientific_journal-1155	66	2	proof	proof	NOUN
american_scientific_journal-1155	66	3	of	of	ADP
american_scientific_journal-1155	66	4	the	the	DET
american_scientific_journal-1155	66	5	theorem	theorem	NOUN
american_scientific_journal-1155	66	6	is	be	AUX
american_scientific_journal-1155	66	7	complete.∎	complete.∎	ADV
american_scientific_journal-1155	66	8	theorem	theorem	ADJ
american_scientific_journal-1155	66	9	2	2	X
american_scientific_journal-1155	66	10	.	.	PUNCT
american_scientific_journal-1155	67	1	let	let	VERB
american_scientific_journal-1155	67	2	the	the	DET
american_scientific_journal-1155	67	3	condition	condition	NOUN
american_scientific_journal-1155	67	4	(	(	PUNCT
american_scientific_journal-1155	67	5	2	2	X
american_scientific_journal-1155	67	6	)	)	PUNCT
american_scientific_journal-1155	67	7	be	be	AUX
american_scientific_journal-1155	67	8	satisfied	satisfied	ADJ
american_scientific_journal-1155	67	9	and	and	CCONJ
american_scientific_journal-1155	67	10	suppose	suppose	VERB
american_scientific_journal-1155	68	1	that	that	SCONJ
american_scientific_journal-1155	68	2	𝛼𝛼´(𝑦𝑦	𝛼𝛼´(𝑦𝑦	NOUN
american_scientific_journal-1155	68	3	)	)	PUNCT
american_scientific_journal-1155	68	4	∈	∈	PROPN
american_scientific_journal-1155	68	5	𝐶𝐶1(𝑅𝑅	𝐶𝐶1(𝑅𝑅	PROPN
american_scientific_journal-1155	68	6	)	)	PUNCT
american_scientific_journal-1155	68	7	with	with	ADP
american_scientific_journal-1155	68	8	𝛼𝛼´(𝑦𝑦	𝛼𝛼´(𝑦𝑦	NOUN
american_scientific_journal-1155	68	9	)	)	PUNCT
american_scientific_journal-1155	68	10	>	>	X
american_scientific_journal-1155	68	11	0	0	NUM
american_scientific_journal-1155	68	12	,	,	PUNCT
american_scientific_journal-1155	68	13	|𝛽𝛽(𝑦𝑦)|	|𝛽𝛽(𝑦𝑦)|	NOUN
american_scientific_journal-1155	68	14	≤	≤	PUNCT
american_scientific_journal-1155	68	15	𝑀𝑀	𝑀𝑀	PROPN
american_scientific_journal-1155	68	16	for	for	ADP
american_scientific_journal-1155	68	17	all	all	DET
american_scientific_journal-1155	68	18	𝑦𝑦	𝑦𝑦	PROPN
american_scientific_journal-1155	68	19	,	,	PUNCT
american_scientific_journal-1155	68	20	𝑔𝑔(𝑥𝑥	𝑔𝑔(𝑥𝑥	PROPN
american_scientific_journal-1155	68	21	)	)	PUNCT
american_scientific_journal-1155	68	22	is	be	AUX
american_scientific_journal-1155	68	23	a	a	DET
american_scientific_journal-1155	68	24	bounded	bounded	ADJ
american_scientific_journal-1155	68	25	function	function	NOUN
american_scientific_journal-1155	68	26	on	on	ADP
american_scientific_journal-1155	68	27	𝑅𝑅	𝑅𝑅	PROPN
american_scientific_journal-1155	68	28	and	and	CCONJ
american_scientific_journal-1155	68	29	𝐹𝐹(−∞	𝐹𝐹(−∞	ADJ
american_scientific_journal-1155	68	30	)	)	PUNCT
american_scientific_journal-1155	69	1	<	<	X
american_scientific_journal-1155	69	2	∞.	∞.	PROPN
american_scientific_journal-1155	69	3	then	then	ADV
american_scientific_journal-1155	69	4	every	every	DET
american_scientific_journal-1155	69	5	solution	solution	NOUN
american_scientific_journal-1155	69	6	(	(	PUNCT
american_scientific_journal-1155	69	7	𝑥𝑥(𝑡𝑡),𝑦𝑦(𝑡𝑡	𝑥𝑥(𝑡𝑡),𝑦𝑦(𝑡𝑡	NOUN
american_scientific_journal-1155	69	8	)	)	PUNCT
american_scientific_journal-1155	69	9	)	)	PUNCT
american_scientific_journal-1155	69	10	of	of	ADP
american_scientific_journal-1155	69	11	(	(	PUNCT
american_scientific_journal-1155	69	12	1	1	X
american_scientific_journal-1155	69	13	)	)	PUNCT
american_scientific_journal-1155	69	14	which	which	PRON
american_scientific_journal-1155	69	15	exists	exist	VERB
american_scientific_journal-1155	69	16	and	and	CCONJ
american_scientific_journal-1155	69	17	is	be	AUX
american_scientific_journal-1155	69	18	negative	negative	ADJ
american_scientific_journal-1155	69	19	on	on	ADP
american_scientific_journal-1155	69	20	[	[	PUNCT
american_scientific_journal-1155	69	21	𝑇𝑇	𝑇𝑇	PROPN
american_scientific_journal-1155	69	22	−	−	NUM
american_scientific_journal-1155	69	23	𝛿𝛿,𝑇𝑇	𝛿𝛿,𝑇𝑇	NOUN
american_scientific_journal-1155	69	24	)	)	PUNCT
american_scientific_journal-1155	69	25	,	,	PUNCT
american_scientific_journal-1155	69	26	𝑇𝑇	𝑇𝑇	VERB
american_scientific_journal-1155	69	27	<	<	X
american_scientific_journal-1155	69	28	0	0	NUM
american_scientific_journal-1155	69	29	,	,	PUNCT
american_scientific_journal-1155	69	30	is	be	AUX
american_scientific_journal-1155	69	31	continuable	continuable	ADJ
american_scientific_journal-1155	69	32	to	to	ADP
american_scientific_journal-1155	69	33	the	the	DET
american_scientific_journal-1155	69	34	right	right	NOUN
american_scientific_journal-1155	69	35	of	of	ADP
american_scientific_journal-1155	69	36	𝑇𝑇.	𝑇𝑇.	PRON
american_scientific_journal-1155	69	37	proof	proof	NOUN
american_scientific_journal-1155	69	38	.	.	PUNCT
american_scientific_journal-1155	70	1	let	let	VERB
american_scientific_journal-1155	70	2	𝑥𝑥(𝑡𝑡	𝑥𝑥(𝑡𝑡	NOUN
american_scientific_journal-1155	70	3	)	)	PUNCT
american_scientific_journal-1155	70	4	be	be	AUX
american_scientific_journal-1155	70	5	a	a	DET
american_scientific_journal-1155	70	6	solution	solution	NOUN
american_scientific_journal-1155	70	7	with	with	ADP
american_scientific_journal-1155	70	8	negative	negative	ADJ
american_scientific_journal-1155	70	9	values	value	NOUN
american_scientific_journal-1155	70	10	in	in	ADP
american_scientific_journal-1155	70	11	[	[	PUNCT
american_scientific_journal-1155	70	12	𝑇𝑇	𝑇𝑇	PROPN
american_scientific_journal-1155	70	13	−	−	NUM
american_scientific_journal-1155	70	14	𝛿𝛿,𝑇𝑇	𝛿𝛿,𝑇𝑇	NOUN
american_scientific_journal-1155	70	15	)	)	PUNCT
american_scientific_journal-1155	70	16	.	.	PUNCT
american_scientific_journal-1155	71	1	hence	hence	ADV
american_scientific_journal-1155	71	2	�	�	NOUN
american_scientific_journal-1155	71	3	𝑥𝑥´(𝑡𝑡	𝑥𝑥´(𝑡𝑡	PROPN
american_scientific_journal-1155	71	4	)	)	PUNCT
american_scientific_journal-1155	72	1	+	+	NUM
american_scientific_journal-1155	72	2	𝛽𝛽(𝑦𝑦)𝐹𝐹(𝑥𝑥	𝛽𝛽(𝑦𝑦)𝐹𝐹(𝑥𝑥	NOUN
american_scientific_journal-1155	72	3	)	)	PUNCT
american_scientific_journal-1155	72	4	�	�	PROPN
american_scientific_journal-1155	72	5	´	´	NOUN
american_scientific_journal-1155	72	6	=	=	SYM
american_scientific_journal-1155	72	7	�	�	PROPN
american_scientific_journal-1155	72	8	𝛼𝛼(𝑦𝑦	𝛼𝛼(𝑦𝑦	PROPN
american_scientific_journal-1155	72	9	)	)	PUNCT
american_scientific_journal-1155	72	10	�	�	NOUN
american_scientific_journal-1155	72	11	´	´	NOUN
american_scientific_journal-1155	73	1	=	=	SYM
american_scientific_journal-1155	73	2	𝛼𝛼´(𝑦𝑦)𝑦𝑦	𝛼𝛼´(𝑦𝑦)𝑦𝑦	NOUN
american_scientific_journal-1155	73	3	´	´	NOUN
american_scientific_journal-1155	73	4	=	=	SYM
american_scientific_journal-1155	73	5	−𝛼𝛼´(𝑦𝑦)𝑔𝑔(𝑥𝑥	−𝛼𝛼´(𝑦𝑦)𝑔𝑔(𝑥𝑥	NOUN
american_scientific_journal-1155	73	6	)	)	PUNCT
american_scientific_journal-1155	74	1	>	>	X
american_scientific_journal-1155	75	1	0	0	X
american_scientific_journal-1155	75	2	.	.	PUNCT
american_scientific_journal-1155	76	1	then	then	ADV
american_scientific_journal-1155	76	2	𝑥𝑥´(𝑡𝑡	𝑥𝑥´(𝑡𝑡	ADJ
american_scientific_journal-1155	76	3	)	)	PUNCT
american_scientific_journal-1155	77	1	+	+	SYM
american_scientific_journal-1155	77	2	𝛽𝛽(𝑦𝑦)𝐹𝐹(𝑥𝑥	𝛽𝛽(𝑦𝑦)𝐹𝐹(𝑥𝑥	NOUN
american_scientific_journal-1155	77	3	)	)	PUNCT
american_scientific_journal-1155	77	4	is	be	AUX
american_scientific_journal-1155	77	5	increasing	increase	VERB
american_scientific_journal-1155	77	6	in	in	ADP
american_scientific_journal-1155	77	7	[	[	PUNCT
american_scientific_journal-1155	77	8	𝑇𝑇	𝑇𝑇	PROPN
american_scientific_journal-1155	77	9	−	−	NUM
american_scientific_journal-1155	77	10	𝛿𝛿,𝑇𝑇	𝛿𝛿,𝑇𝑇	NOUN
american_scientific_journal-1155	77	11	)	)	PUNCT
american_scientific_journal-1155	77	12	.	.	PUNCT
american_scientific_journal-1155	78	1	therefore	therefore	ADV
american_scientific_journal-1155	78	2	𝑥𝑥´(𝑡𝑡0	𝑥𝑥´(𝑡𝑡0	NUM
american_scientific_journal-1155	78	3	)	)	PUNCT
american_scientific_journal-1155	79	1	+	+	CCONJ
american_scientific_journal-1155	79	2	𝛽𝛽	𝛽𝛽	ADP
american_scientific_journal-1155	79	3	�	�	PROPN
american_scientific_journal-1155	79	4	𝑦𝑦(𝑡𝑡0)	𝑦𝑦(𝑡𝑡0)	PROPN
american_scientific_journal-1155	79	5	�	�	PROPN
american_scientific_journal-1155	79	6	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	79	7	�	�	PROPN
american_scientific_journal-1155	79	8	𝑥𝑥(𝑡𝑡0	𝑥𝑥(𝑡𝑡0	NOUN
american_scientific_journal-1155	79	9	)	)	PUNCT
american_scientific_journal-1155	79	10	�	�	PROPN
american_scientific_journal-1155	79	11	<	<	X
american_scientific_journal-1155	79	12	𝑥𝑥´(𝑡𝑡	𝑥𝑥´(𝑡𝑡	PROPN
american_scientific_journal-1155	79	13	)	)	PUNCT
american_scientific_journal-1155	80	1	+	+	CCONJ
american_scientific_journal-1155	80	2	𝛽𝛽	𝛽𝛽	ADP
american_scientific_journal-1155	80	3	�	�	PROPN
american_scientific_journal-1155	80	4	𝑦𝑦(𝑡𝑡)	𝑦𝑦(𝑡𝑡)	PROPN
american_scientific_journal-1155	80	5	�	�	PROPN
american_scientific_journal-1155	80	6	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	80	7	�	�	PROPN
american_scientific_journal-1155	80	8	𝑥𝑥(𝑡𝑡	𝑥𝑥(𝑡𝑡	PROPN
american_scientific_journal-1155	80	9	)	)	PUNCT
american_scientific_journal-1155	80	10	�	�	PROPN
american_scientific_journal-1155	80	11	≤	≤	PROPN
american_scientific_journal-1155	80	12	𝑥𝑥´(𝑡𝑡	𝑥𝑥´(𝑡𝑡	PROPN
american_scientific_journal-1155	80	13	)	)	PUNCT
american_scientific_journal-1155	81	1	+	+	CCONJ
american_scientific_journal-1155	81	2	𝛽𝛽	𝛽𝛽	ADP
american_scientific_journal-1155	81	3	�	�	PROPN
american_scientific_journal-1155	81	4	𝑦𝑦(𝑡𝑡)	𝑦𝑦(𝑡𝑡)	PROPN
american_scientific_journal-1155	81	5	�	�	NOUN
american_scientific_journal-1155	81	6	𝐾𝐾	𝐾𝐾	PROPN
american_scientific_journal-1155	81	7	<	<	X
american_scientific_journal-1155	81	8	𝑥𝑥´(𝑡𝑡	𝑥𝑥´(𝑡𝑡	PROPN
american_scientific_journal-1155	81	9	)	)	PUNCT
american_scientific_journal-1155	81	10	in	in	ADP
american_scientific_journal-1155	81	11	𝑡𝑡0	𝑡𝑡0	ADJ
american_scientific_journal-1155	81	12	≤	≤	NOUN
american_scientific_journal-1155	82	1	𝑡𝑡	𝑡𝑡	ADP
american_scientific_journal-1155	82	2	<	<	X
american_scientific_journal-1155	82	3	𝑇𝑇	𝑇𝑇	PROPN
american_scientific_journal-1155	82	4	because	because	SCONJ
american_scientific_journal-1155	82	5	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	82	6	�	�	PROPN
american_scientific_journal-1155	82	7	𝑥𝑥(𝑡𝑡	𝑥𝑥(𝑡𝑡	PROPN
american_scientific_journal-1155	82	8	)	)	PUNCT
american_scientific_journal-1155	82	9	�	�	PROPN
american_scientific_journal-1155	82	10	≤	≤	ADJ
american_scientific_journal-1155	82	11	𝐾𝐾	𝐾𝐾	PROPN
american_scientific_journal-1155	82	12	<	<	X
american_scientific_journal-1155	82	13	∞.	∞.	PROPN
american_scientific_journal-1155	83	1	so	so	ADV
american_scientific_journal-1155	83	2	,	,	PUNCT
american_scientific_journal-1155	83	3	we	we	PRON
american_scientific_journal-1155	83	4	have	have	VERB
american_scientific_journal-1155	83	5	(	(	PUNCT
american_scientific_journal-1155	83	6	𝑥𝑥´(𝑡𝑡0	𝑥𝑥´(𝑡𝑡0	INTJ
american_scientific_journal-1155	83	7	)	)	PUNCT
american_scientific_journal-1155	84	1	+	+	CCONJ
american_scientific_journal-1155	84	2	𝛽𝛽	𝛽𝛽	PROPN
american_scientific_journal-1155	84	3	�	�	PROPN
american_scientific_journal-1155	84	4	𝑦𝑦(𝑡𝑡0)	𝑦𝑦(𝑡𝑡0)	PROPN
american_scientific_journal-1155	84	5	�	�	PROPN
american_scientific_journal-1155	84	6	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	84	7	�	�	PROPN
american_scientific_journal-1155	84	8	𝑥𝑥(𝑡𝑡0	𝑥𝑥(𝑡𝑡0	NOUN
american_scientific_journal-1155	84	9	)	)	PUNCT
american_scientific_journal-1155	84	10	�	�	PROPN
american_scientific_journal-1155	84	11	<	<	X
american_scientific_journal-1155	84	12	𝑥𝑥´(𝑡𝑡	𝑥𝑥´(𝑡𝑡	PROPN
american_scientific_journal-1155	84	13	)	)	PUNCT
american_scientific_journal-1155	84	14	which	which	PRON
american_scientific_journal-1155	84	15	implies	imply	VERB
american_scientific_journal-1155	84	16	that	that	SCONJ
american_scientific_journal-1155	84	17	𝑥𝑥´(𝑡𝑡	𝑥𝑥´(𝑡𝑡	NOUN
american_scientific_journal-1155	84	18	)	)	PUNCT
american_scientific_journal-1155	84	19	is	be	AUX
american_scientific_journal-1155	84	20	bounded	bound	VERB
american_scientific_journal-1155	84	21	from	from	ADP
american_scientific_journal-1155	84	22	below	below	ADP
american_scientific_journal-1155	84	23	on	on	ADP
american_scientific_journal-1155	84	24	[	[	PUNCT
american_scientific_journal-1155	84	25	𝑇𝑇	𝑇𝑇	PROPN
american_scientific_journal-1155	84	26	−	−	NUM
american_scientific_journal-1155	84	27	𝛿𝛿,𝑇𝑇	𝛿𝛿,𝑇𝑇	NOUN
american_scientific_journal-1155	84	28	)	)	PUNCT
american_scientific_journal-1155	84	29	.	.	PUNCT
american_scientific_journal-1155	85	1	integrating	integrate	VERB
american_scientific_journal-1155	85	2	the	the	DET
american_scientific_journal-1155	85	3	last	last	ADJ
american_scientific_journal-1155	85	4	inequality	inequality	NOUN
american_scientific_journal-1155	85	5	,	,	PUNCT
american_scientific_journal-1155	85	6	we	we	PRON
american_scientific_journal-1155	85	7	have	have	VERB
american_scientific_journal-1155	85	8	:	:	PUNCT
american_scientific_journal-1155	85	9	(	(	PUNCT
american_scientific_journal-1155	85	10	𝑥𝑥´(𝑡𝑡0	𝑥𝑥´(𝑡𝑡0	INTJ
american_scientific_journal-1155	85	11	)	)	PUNCT
american_scientific_journal-1155	86	1	+	+	CCONJ
american_scientific_journal-1155	86	2	𝛽𝛽	𝛽𝛽	PROPN
american_scientific_journal-1155	86	3	�	�	PROPN
american_scientific_journal-1155	86	4	𝑦𝑦(𝑡𝑡0)	𝑦𝑦(𝑡𝑡0)	PROPN
american_scientific_journal-1155	86	5	�	�	PROPN
american_scientific_journal-1155	86	6	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	86	7	�	�	PROPN
american_scientific_journal-1155	86	8	𝑥𝑥(𝑡𝑡0)	𝑥𝑥(𝑡𝑡0)	ADJ
american_scientific_journal-1155	86	9	�	�	PROPN
american_scientific_journal-1155	86	10	(𝑡𝑡	(𝑡𝑡	PUNCT
american_scientific_journal-1155	86	11	−	−	PROPN
american_scientific_journal-1155	86	12	𝑡𝑡0	𝑡𝑡0	ADJ
american_scientific_journal-1155	86	13	)	)	PUNCT
american_scientific_journal-1155	86	14	≤	≤	NOUN
american_scientific_journal-1155	86	15	𝑥𝑥(𝑡𝑡	𝑥𝑥(𝑡𝑡	NOUN
american_scientific_journal-1155	86	16	)	)	PUNCT
american_scientific_journal-1155	87	1	−	−	PROPN
american_scientific_journal-1155	87	2	𝑥𝑥(𝑡𝑡0	𝑥𝑥(𝑡𝑡0	NUM
american_scientific_journal-1155	87	3	)	)	PUNCT
american_scientific_journal-1155	87	4	then	then	ADV
american_scientific_journal-1155	87	5	,	,	PUNCT
american_scientific_journal-1155	87	6	we	we	PRON
american_scientific_journal-1155	87	7	conclude	conclude	VERB
american_scientific_journal-1155	87	8	(	(	PUNCT
american_scientific_journal-1155	87	9	𝑥𝑥´(𝑡𝑡0	𝑥𝑥´(𝑡𝑡0	INTJ
american_scientific_journal-1155	87	10	)	)	PUNCT
american_scientific_journal-1155	88	1	+	+	CCONJ
american_scientific_journal-1155	88	2	𝛽𝛽	𝛽𝛽	PROPN
american_scientific_journal-1155	88	3	�	�	PROPN
american_scientific_journal-1155	88	4	𝑦𝑦(𝑡𝑡0)	𝑦𝑦(𝑡𝑡0)	PROPN
american_scientific_journal-1155	88	5	�	�	PROPN
american_scientific_journal-1155	88	6	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	88	7	�	�	PROPN
american_scientific_journal-1155	88	8	𝑥𝑥(𝑡𝑡0)	𝑥𝑥(𝑡𝑡0)	ADJ
american_scientific_journal-1155	88	9	�	�	PROPN
american_scientific_journal-1155	88	10	(𝑡𝑡	(𝑡𝑡	PUNCT
american_scientific_journal-1155	88	11	−	−	PROPN
american_scientific_journal-1155	88	12	𝑡𝑡0	𝑡𝑡0	PROPN
american_scientific_journal-1155	88	13	)	)	PUNCT
american_scientific_journal-1155	88	14	+	+	NUM
american_scientific_journal-1155	88	15	𝑥𝑥(𝑡𝑡0	𝑥𝑥(𝑡𝑡0	NOUN
american_scientific_journal-1155	88	16	)	)	PUNCT
american_scientific_journal-1155	88	17	≤	≤	NUM
american_scientific_journal-1155	88	18	𝑥𝑥(𝑡𝑡	𝑥𝑥(𝑡𝑡	NOUN
american_scientific_journal-1155	88	19	)	)	PUNCT
american_scientific_journal-1155	89	1	<	<	X
american_scientific_journal-1155	89	2	0	0	PUNCT
american_scientific_journal-1155	89	3	hence	hence	ADV
american_scientific_journal-1155	89	4	lim𝑡𝑡→𝑇𝑇−	lim𝑡𝑡→𝑇𝑇−	NOUN
american_scientific_journal-1155	89	5	𝑥𝑥(𝑡𝑡	𝑥𝑥(𝑡𝑡	NOUN
american_scientific_journal-1155	89	6	)	)	PUNCT
american_scientific_journal-1155	89	7	exists	exist	VERB
american_scientific_journal-1155	89	8	and	and	CCONJ
american_scientific_journal-1155	89	9	is	be	AUX
american_scientific_journal-1155	89	10	finite	finite	ADJ
american_scientific_journal-1155	89	11	.	.	PUNCT
american_scientific_journal-1155	90	1	in	in	ADP
american_scientific_journal-1155	90	2	addition	addition	NOUN
american_scientific_journal-1155	90	3	lim	lim	PROPN
american_scientific_journal-1155	90	4	𝑡𝑡→𝑇𝑇−	𝑡𝑡→𝑇𝑇−	NOUN
american_scientific_journal-1155	90	5	𝑥𝑥´(𝑡𝑡	𝑥𝑥´(𝑡𝑡	PROPN
american_scientific_journal-1155	90	6	)	)	PUNCT
american_scientific_journal-1155	91	1	=	=	SYM
american_scientific_journal-1155	91	2	lim	lim	PROPN
american_scientific_journal-1155	91	3	𝑡𝑡→𝑇𝑇−	𝑡𝑡→𝑇𝑇−	NOUN
american_scientific_journal-1155	91	4	�	�	PROPN
american_scientific_journal-1155	91	5	𝑥𝑥´(𝑡𝑡	𝑥𝑥´(𝑡𝑡	PROPN
american_scientific_journal-1155	91	6	)	)	PUNCT
american_scientific_journal-1155	91	7	+	+	CCONJ
american_scientific_journal-1155	91	8	𝛽𝛽	𝛽𝛽	ADP
american_scientific_journal-1155	91	9	�	�	PROPN
american_scientific_journal-1155	91	10	𝑦𝑦(𝑡𝑡)	𝑦𝑦(𝑡𝑡)	PROPN
american_scientific_journal-1155	91	11	�	�	PROPN
american_scientific_journal-1155	91	12	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	91	13	�	�	PROPN
american_scientific_journal-1155	91	14	𝑥𝑥(𝑡𝑡	𝑥𝑥(𝑡𝑡	PROPN
american_scientific_journal-1155	91	15	)	)	PUNCT
american_scientific_journal-1155	91	16	�	�	PROPN
american_scientific_journal-1155	91	17	�	�	PROPN
american_scientific_journal-1155	91	18	−	−	PROPN
american_scientific_journal-1155	91	19	lim	lim	PROPN
american_scientific_journal-1155	91	20	𝑡𝑡→𝑇𝑇−	𝑡𝑡→𝑇𝑇−	NOUN
american_scientific_journal-1155	91	21	�	�	PROPN
american_scientific_journal-1155	91	22	𝛽𝛽	𝛽𝛽	ADP
american_scientific_journal-1155	91	23	�	�	PROPN
american_scientific_journal-1155	91	24	𝑦𝑦(𝑡𝑡)	𝑦𝑦(𝑡𝑡)	PROPN
american_scientific_journal-1155	91	25	�	�	PROPN
american_scientific_journal-1155	91	26	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-1155	91	27	�	�	PROPN
american_scientific_journal-1155	91	28	𝑥𝑥(𝑡𝑡	𝑥𝑥(𝑡𝑡	PROPN
american_scientific_journal-1155	91	29	)	)	PUNCT
american_scientific_journal-1155	91	30	�	�	PROPN
american_scientific_journal-1155	91	31	�	�	PROPN
american_scientific_journal-1155	91	32	<	<	X
american_scientific_journal-1155	91	33	∞.	∞.	PROPN
american_scientific_journal-1155	91	34	if	if	SCONJ
american_scientific_journal-1155	91	35	we	we	PRON
american_scientific_journal-1155	91	36	suppose	suppose	VERB
american_scientific_journal-1155	91	37	that	that	SCONJ
american_scientific_journal-1155	91	38	|𝑔𝑔(𝑥𝑥)|	|𝑔𝑔(𝑥𝑥)|	PROPN
american_scientific_journal-1155	91	39	≤	≤	PROPN
american_scientific_journal-1155	91	40	𝑀𝑀2	𝑀𝑀2	PROPN
american_scientific_journal-1155	91	41	,	,	PUNCT
american_scientific_journal-1155	91	42	it	it	PRON
american_scientific_journal-1155	91	43	follows	follow	VERB
american_scientific_journal-1155	91	44	immediately	immediately	ADV
american_scientific_journal-1155	91	45	that	that	SCONJ
american_scientific_journal-1155	91	46	𝑦𝑦´(𝑡𝑡	𝑦𝑦´(𝑡𝑡	NOUN
american_scientific_journal-1155	91	47	)	)	PUNCT
american_scientific_journal-1155	91	48	is	be	AUX
american_scientific_journal-1155	91	49	bounded	bound	VERB
american_scientific_journal-1155	91	50	,	,	PUNCT
american_scientific_journal-1155	91	51	that	that	PRON
american_scientific_journal-1155	91	52	is	be	AUX
american_scientific_journal-1155	91	53	to	to	PART
american_scientific_journal-1155	91	54	say	say	VERB
american_scientific_journal-1155	91	55	−𝑀𝑀2	−𝑀𝑀2	PROPN
american_scientific_journal-1155	91	56	≤	≤	PROPN
american_scientific_journal-1155	91	57	𝑦𝑦´(𝑡𝑡	𝑦𝑦´(𝑡𝑡	NOUN
american_scientific_journal-1155	91	58	)	)	PUNCT
american_scientific_journal-1155	91	59	≤	≤	PUNCT
american_scientific_journal-1155	92	1	𝑀𝑀2	𝑀𝑀2	PROPN
american_scientific_journal-1155	92	2	.	.	PUNCT
american_scientific_journal-1155	93	1	integrating	integrate	VERB
american_scientific_journal-1155	93	2	the	the	DET
american_scientific_journal-1155	93	3	last	last	ADJ
american_scientific_journal-1155	93	4	inequality	inequality	NOUN
american_scientific_journal-1155	93	5	,	,	PUNCT
american_scientific_journal-1155	93	6	we	we	PRON
american_scientific_journal-1155	93	7	have	have	VERB
american_scientific_journal-1155	93	8	92	92	NUM
american_scientific_journal-1155	93	9	american	american	ADJ
american_scientific_journal-1155	93	10	scientific	scientific	ADJ
american_scientific_journal-1155	93	11	research	research	NOUN
american_scientific_journal-1155	93	12	journal	journal	NOUN
american_scientific_journal-1155	93	13	for	for	ADP
american_scientific_journal-1155	93	14	engineering	engineering	NOUN
american_scientific_journal-1155	93	15	,	,	PUNCT
american_scientific_journal-1155	93	16	technology	technology	NOUN
american_scientific_journal-1155	93	17	,	,	PUNCT
american_scientific_journal-1155	93	18	and	and	CCONJ
american_scientific_journal-1155	93	19	sciences	science	NOUN
american_scientific_journal-1155	93	20	(	(	PUNCT
american_scientific_journal-1155	93	21	asrjets	asrjet	NOUN
american_scientific_journal-1155	93	22	)	)	PUNCT
american_scientific_journal-1155	93	23	(	(	PUNCT
american_scientific_journal-1155	93	24	2016	2016	NUM
american_scientific_journal-1155	93	25	)	)	PUNCT
american_scientific_journal-1155	93	26	volume	volume	NOUN
american_scientific_journal-1155	93	27	17	17	NUM
american_scientific_journal-1155	93	28	,	,	PUNCT
american_scientific_journal-1155	93	29	no	no	DET
american_scientific_journal-1155	93	30	1	1	NUM
american_scientific_journal-1155	93	31	,	,	PUNCT
american_scientific_journal-1155	93	32	pp	pp	ADV
american_scientific_journal-1155	93	33	89	89	NUM
american_scientific_journal-1155	93	34	-	-	SYM
american_scientific_journal-1155	93	35	94	94	NUM
american_scientific_journal-1155	93	36	−𝑀𝑀2(𝑡𝑡	−𝑀𝑀2(𝑡𝑡	NOUN
american_scientific_journal-1155	93	37	−	−	ADP
american_scientific_journal-1155	93	38	𝑡𝑡0	𝑡𝑡0	ADJ
american_scientific_journal-1155	93	39	)	)	PUNCT
american_scientific_journal-1155	93	40	≤	≤	ADJ
american_scientific_journal-1155	93	41	𝑦𝑦(𝑡𝑡	𝑦𝑦(𝑡𝑡	PROPN
american_scientific_journal-1155	93	42	)	)	PUNCT
american_scientific_journal-1155	94	1	−	−	PRON
american_scientific_journal-1155	94	2	𝑦𝑦(𝑡𝑡0	𝑦𝑦(𝑡𝑡0	NOUN
american_scientific_journal-1155	94	3	)	)	PUNCT
american_scientific_journal-1155	94	4	≤	≤	NOUN
american_scientific_journal-1155	94	5	𝑀𝑀2(𝑡𝑡	𝑀𝑀2(𝑡𝑡	PROPN
american_scientific_journal-1155	94	6	−	−	ADP
american_scientific_journal-1155	94	7	𝑡𝑡0	𝑡𝑡0	NOUN
american_scientific_journal-1155	94	8	)	)	PUNCT
american_scientific_journal-1155	94	9	in	in	ADP
american_scientific_journal-1155	94	10	[	[	X
american_scientific_journal-1155	94	11	𝑡𝑡0,𝑇𝑇	𝑡𝑡0,𝑇𝑇	NOUN
american_scientific_journal-1155	94	12	)	)	PUNCT
american_scientific_journal-1155	94	13	.	.	PUNCT
american_scientific_journal-1155	95	1	from	from	ADP
american_scientific_journal-1155	95	2	which	which	PRON
american_scientific_journal-1155	95	3	is	be	AUX
american_scientific_journal-1155	95	4	obtained	obtain	VERB
american_scientific_journal-1155	95	5	−𝑀𝑀2(𝑡𝑡	−𝑀𝑀2(𝑡𝑡	NOUN
american_scientific_journal-1155	95	6	−	−	PROPN
american_scientific_journal-1155	95	7	𝑡𝑡0	𝑡𝑡0	PROPN
american_scientific_journal-1155	95	8	)	)	PUNCT
american_scientific_journal-1155	96	1	+	+	NUM
american_scientific_journal-1155	96	2	𝑦𝑦(𝑡𝑡0	𝑦𝑦(𝑡𝑡0	NUM
american_scientific_journal-1155	96	3	)	)	PUNCT
american_scientific_journal-1155	96	4	≤	≤	NOUN
american_scientific_journal-1155	96	5	𝑦𝑦(𝑡𝑡	𝑦𝑦(𝑡𝑡	PROPN
american_scientific_journal-1155	96	6	)	)	PUNCT
american_scientific_journal-1155	97	1	≤	≤	NUM
american_scientific_journal-1155	97	2	𝑀𝑀2(𝑡𝑡	𝑀𝑀2(𝑡𝑡	PROPN
american_scientific_journal-1155	97	3	−	−	ADP
american_scientific_journal-1155	97	4	𝑡𝑡0	𝑡𝑡0	PROPN
american_scientific_journal-1155	97	5	)	)	PUNCT
american_scientific_journal-1155	97	6	+	+	NUM
american_scientific_journal-1155	97	7	𝑦𝑦(𝑡𝑡0	𝑦𝑦(𝑡𝑡0	NUM
american_scientific_journal-1155	97	8	)	)	PUNCT
american_scientific_journal-1155	97	9	.	.	PUNCT
american_scientific_journal-1155	98	1	then	then	ADV
american_scientific_journal-1155	98	2	the	the	DET
american_scientific_journal-1155	98	3	proof	proof	NOUN
american_scientific_journal-1155	98	4	is	be	AUX
american_scientific_journal-1155	98	5	complete.∎	complete.∎	ADV
american_scientific_journal-1155	98	6	corollary	corollary	ADJ
american_scientific_journal-1155	98	7	.	.	PUNCT
american_scientific_journal-1155	99	1	under	under	ADP
american_scientific_journal-1155	99	2	assumptions	assumption	NOUN
american_scientific_journal-1155	99	3	on	on	ADP
american_scientific_journal-1155	99	4	theorems	theorem	NOUN
american_scientific_journal-1155	99	5	1	1	NUM
american_scientific_journal-1155	99	6	and	and	CCONJ
american_scientific_journal-1155	99	7	2	2	NUM
american_scientific_journal-1155	99	8	every	every	DET
american_scientific_journal-1155	99	9	solution	solution	NOUN
american_scientific_journal-1155	99	10	(	(	PUNCT
american_scientific_journal-1155	99	11	𝑥𝑥(𝑡𝑡),𝑦𝑦(𝑡𝑡	𝑥𝑥(𝑡𝑡),𝑦𝑦(𝑡𝑡	NOUN
american_scientific_journal-1155	99	12	)	)	PUNCT
american_scientific_journal-1155	99	13	)	)	PUNCT
american_scientific_journal-1155	99	14	of	of	ADP
american_scientific_journal-1155	99	15	(	(	PUNCT
american_scientific_journal-1155	99	16	1	1	X
american_scientific_journal-1155	99	17	)	)	PUNCT
american_scientific_journal-1155	99	18	is	be	AUX
american_scientific_journal-1155	99	19	continuable	continuable	ADJ
american_scientific_journal-1155	99	20	to	to	ADP
american_scientific_journal-1155	99	21	the	the	DET
american_scientific_journal-1155	99	22	right	right	NOUN
american_scientific_journal-1155	99	23	and	and	CCONJ
american_scientific_journal-1155	99	24	can	can	AUX
american_scientific_journal-1155	99	25	be	be	AUX
american_scientific_journal-1155	99	26	defined	define	VERB
american_scientific_journal-1155	99	27	on	on	ADP
american_scientific_journal-1155	99	28	an	an	DET
american_scientific_journal-1155	99	29	infinite	infinite	ADJ
american_scientific_journal-1155	99	30	interval	interval	NOUN
american_scientific_journal-1155	99	31	[	[	X
american_scientific_journal-1155	99	32	𝑡𝑡0,∞	𝑡𝑡0,∞	NOUN
american_scientific_journal-1155	99	33	)	)	PUNCT
american_scientific_journal-1155	99	34	.	.	PUNCT
american_scientific_journal-1155	100	1	3	3	X
american_scientific_journal-1155	100	2	.	.	X
american_scientific_journal-1155	100	3	conclusion	conclusion	NOUN
american_scientific_journal-1155	100	4	in	in	ADP
american_scientific_journal-1155	100	5	this	this	DET
american_scientific_journal-1155	100	6	section	section	NOUN
american_scientific_journal-1155	100	7	we	we	PRON
american_scientific_journal-1155	100	8	present	present	VERB
american_scientific_journal-1155	100	9	some	some	DET
american_scientific_journal-1155	100	10	observations	observation	NOUN
american_scientific_journal-1155	100	11	in	in	ADP
american_scientific_journal-1155	100	12	conclusion	conclusion	NOUN
american_scientific_journal-1155	100	13	.	.	PUNCT
american_scientific_journal-1155	101	1	remark	remark	NOUN
american_scientific_journal-1155	101	2	1	1	NUM
american_scientific_journal-1155	101	3	.	.	PUNCT
american_scientific_journal-1155	102	1	if	if	SCONJ
american_scientific_journal-1155	102	2	in	in	ADP
american_scientific_journal-1155	102	3	(	(	PUNCT
american_scientific_journal-1155	102	4	1	1	X
american_scientific_journal-1155	102	5	)	)	PUNCT
american_scientific_journal-1155	102	6	we	we	PRON
american_scientific_journal-1155	102	7	have	have	VERB
american_scientific_journal-1155	102	8	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-1155	102	9	´	´	NOUN
american_scientific_journal-1155	102	10	=	=	SYM
american_scientific_journal-1155	102	11	𝑦𝑦	𝑦𝑦	PROPN
american_scientific_journal-1155	102	12	+	+	SYM
american_scientific_journal-1155	102	13	2𝑥𝑥	2𝑥𝑥	ADJ
american_scientific_journal-1155	102	14	,	,	PUNCT
american_scientific_journal-1155	102	15	(	(	PUNCT
american_scientific_journal-1155	102	16	3	3	X
american_scientific_journal-1155	102	17	)	)	PUNCT
american_scientific_journal-1155	102	18	𝑦𝑦	𝑦𝑦	NOUN
american_scientific_journal-1155	102	19	´	´	NOUN
american_scientific_journal-1155	102	20	=	=	PUNCT
american_scientific_journal-1155	102	21	−𝑥𝑥.	−𝑥𝑥.	VERB
american_scientific_journal-1155	102	22	the	the	DET
american_scientific_journal-1155	102	23	theorem	theorem	NOUN
american_scientific_journal-1155	102	24	1	1	NUM
american_scientific_journal-1155	102	25	is	be	AUX
american_scientific_journal-1155	102	26	very	very	ADV
american_scientific_journal-1155	102	27	clear	clear	ADJ
american_scientific_journal-1155	102	28	,	,	PUNCT
american_scientific_journal-1155	102	29	because	because	SCONJ
american_scientific_journal-1155	102	30	this	this	DET
american_scientific_journal-1155	102	31	system	system	NOUN
american_scientific_journal-1155	102	32	has	have	VERB
american_scientific_journal-1155	102	33	an	an	DET
american_scientific_journal-1155	102	34	unbounded	unbounded	ADJ
american_scientific_journal-1155	102	35	solution	solution	NOUN
american_scientific_journal-1155	102	36	�	�	NOUN
american_scientific_journal-1155	102	37	𝑥𝑥(𝑡𝑡),𝑦𝑦(𝑡𝑡	𝑥𝑥(𝑡𝑡),𝑦𝑦(𝑡𝑡	NOUN
american_scientific_journal-1155	102	38	)	)	PUNCT
american_scientific_journal-1155	102	39	�	�	PROPN
american_scientific_journal-1155	102	40	=	=	SYM
american_scientific_journal-1155	102	41	(	(	PUNCT
american_scientific_journal-1155	102	42	𝑠𝑠𝑡𝑡	𝑠𝑠𝑡𝑡	NOUN
american_scientific_journal-1155	102	43	,	,	PUNCT
american_scientific_journal-1155	102	44	−𝑠𝑠𝑡𝑡	−𝑠𝑠𝑡𝑡	PROPN
american_scientific_journal-1155	102	45	)	)	PUNCT
american_scientific_journal-1155	102	46	.	.	PUNCT
american_scientific_journal-1155	103	1	remark	remark	NOUN
american_scientific_journal-1155	103	2	2	2	NUM
american_scientific_journal-1155	103	3	.	.	PUNCT
american_scientific_journal-1155	104	1	our	our	PRON
american_scientific_journal-1155	104	2	results	result	NOUN
american_scientific_journal-1155	104	3	contains	contain	VERB
american_scientific_journal-1155	104	4	as	as	ADP
american_scientific_journal-1155	104	5	particular	particular	ADJ
american_scientific_journal-1155	104	6	case	case	NOUN
american_scientific_journal-1155	104	7	,	,	PUNCT
american_scientific_journal-1155	104	8	the	the	DET
american_scientific_journal-1155	104	9	theorem	theorem	ADJ
american_scientific_journal-1155	104	10	2.1	2.1	NUM
american_scientific_journal-1155	104	11	and	and	CCONJ
american_scientific_journal-1155	104	12	2.6	2.6	NUM
american_scientific_journal-1155	104	13	of	of	ADP
american_scientific_journal-1155	104	14	[	[	X
american_scientific_journal-1155	104	15	12	12	NUM
american_scientific_journal-1155	104	16	]	]	PUNCT
american_scientific_journal-1155	104	17	.	.	PUNCT
american_scientific_journal-1155	105	1	references	reference	NOUN
american_scientific_journal-1155	105	2	[	[	X
american_scientific_journal-1155	105	3	1	1	NUM
american_scientific_journal-1155	105	4	]	]	PUNCT
american_scientific_journal-1155	105	5	liapunov	liapunov	NOUN
american_scientific_journal-1155	105	6	,	,	PUNCT
american_scientific_journal-1155	105	7	a.	a.	NOUN
american_scientific_journal-1155	105	8	m.	m.	NOUN
american_scientific_journal-1155	105	9	probléme	probléme	PROPN
american_scientific_journal-1155	105	10	général	général	PROPN
american_scientific_journal-1155	105	11	de	de	X
american_scientific_journal-1155	105	12	la	la	PROPN
american_scientific_journal-1155	105	13	stabilité	stabilité	PROPN
american_scientific_journal-1155	105	14	du	du	PROPN
american_scientific_journal-1155	105	15	movement	movement	NOUN
american_scientific_journal-1155	105	16	,	,	PUNCT
american_scientific_journal-1155	105	17	in	in	ADP
american_scientific_journal-1155	105	18	annals	annal	NOUN
american_scientific_journal-1155	105	19	of	of	ADP
american_scientific_journal-1155	105	20	math	math	NOUN
american_scientific_journal-1155	105	21	.	.	PUNCT
american_scientific_journal-1155	106	1	studies	study	NOUN
american_scientific_journal-1155	106	2	no.17	no.17	PROPN
american_scientific_journal-1155	106	3	,	,	PUNCT
american_scientific_journal-1155	106	4	princeton	princeton	PROPN
american_scientific_journal-1155	106	5	univ	univ	PROPN
american_scientific_journal-1155	106	6	.	.	PUNCT
american_scientific_journal-1155	107	1	press	press	PROPN
american_scientific_journal-1155	107	2	,	,	PUNCT
american_scientific_journal-1155	107	3	princeton	princeton	PROPN
american_scientific_journal-1155	107	4	,	,	PUNCT
american_scientific_journal-1155	107	5	nj	nj	PROPN
american_scientific_journal-1155	107	6	,	,	PUNCT
american_scientific_journal-1155	107	7	1949	1949	NUM
american_scientific_journal-1155	107	8	.	.	PUNCT
american_scientific_journal-1155	108	1	[	[	X
american_scientific_journal-1155	108	2	2	2	NUM
american_scientific_journal-1155	108	3	]	]	PUNCT
american_scientific_journal-1155	108	4	antosiewicz	antosiewicz	NOUN
american_scientific_journal-1155	108	5	,	,	PUNCT
american_scientific_journal-1155	108	6	h.	h.	PROPN
american_scientific_journal-1155	108	7	a.	a.	PROPN
american_scientific_journal-1155	108	8	a	a	DET
american_scientific_journal-1155	108	9	survey	survey	NOUN
american_scientific_journal-1155	108	10	of	of	ADP
american_scientific_journal-1155	108	11	lyapunov´s	lyapunov´s	ADJ
american_scientific_journal-1155	108	12	second	second	ADJ
american_scientific_journal-1155	108	13	method	method	NOUN
american_scientific_journal-1155	108	14	contributions	contribution	NOUN
american_scientific_journal-1155	108	15	to	to	ADP
american_scientific_journal-1155	108	16	the	the	DET
american_scientific_journal-1155	108	17	theory	theory	NOUN
american_scientific_journal-1155	108	18	of	of	ADP
american_scientific_journal-1155	108	19	nonlinear	nonlinear	ADJ
american_scientific_journal-1155	108	20	oscillations	oscillation	NOUN
american_scientific_journal-1155	108	21	iv	iv	ADP
american_scientific_journal-1155	108	22	in	in	ADP
american_scientific_journal-1155	108	23	annals	annal	NOUN
american_scientific_journal-1155	108	24	of	of	ADP
american_scientific_journal-1155	108	25	math	math	NOUN
american_scientific_journal-1155	108	26	.	.	PUNCT
american_scientific_journal-1155	109	1	studies	study	NOUN
american_scientific_journal-1155	109	2	no.44	no.44	NOUN
american_scientific_journal-1155	109	3	,	,	PUNCT
american_scientific_journal-1155	109	4	princeton	princeton	PROPN
american_scientific_journal-1155	109	5	univ	univ	PROPN
american_scientific_journal-1155	109	6	.	.	PUNCT
american_scientific_journal-1155	110	1	press	press	PROPN
american_scientific_journal-1155	110	2	,	,	PUNCT
american_scientific_journal-1155	110	3	princeton	princeton	PROPN
american_scientific_journal-1155	110	4	,	,	PUNCT
american_scientific_journal-1155	110	5	nj	nj	PROPN
american_scientific_journal-1155	110	6	,	,	PUNCT
american_scientific_journal-1155	110	7	1958	1958	NUM
american_scientific_journal-1155	110	8	.	.	PUNCT
american_scientific_journal-1155	111	1	[	[	X
american_scientific_journal-1155	111	2	3	3	NUM
american_scientific_journal-1155	111	3	]	]	X
american_scientific_journal-1155	111	4	barbashin	barbashin	NOUN
american_scientific_journal-1155	111	5	,	,	PUNCT
american_scientific_journal-1155	111	6	e.	e.	PROPN
american_scientific_journal-1155	111	7	a.	a.	PROPN
american_scientific_journal-1155	111	8	lyapunov´s	lyapunov´s	PROPN
american_scientific_journal-1155	111	9	functions	function	NOUN
american_scientific_journal-1155	111	10	,	,	PUNCT
american_scientific_journal-1155	111	11	science	science	NOUN
american_scientific_journal-1155	111	12	publishers	publisher	NOUN
american_scientific_journal-1155	111	13	,	,	PUNCT
american_scientific_journal-1155	111	14	moscow	moscow	PROPN
american_scientific_journal-1155	111	15	,	,	PUNCT
american_scientific_journal-1155	111	16	1970	1970	NUM
american_scientific_journal-1155	111	17	(	(	PUNCT
american_scientific_journal-1155	111	18	russian	russian	NOUN
american_scientific_journal-1155	111	19	)	)	PUNCT
american_scientific_journal-1155	111	20	.	.	PUNCT
american_scientific_journal-1155	112	1	[	[	X
american_scientific_journal-1155	112	2	4	4	NUM
american_scientific_journal-1155	112	3	]	]	X
american_scientific_journal-1155	112	4	cesari	cesari	NOUN
american_scientific_journal-1155	112	5	,	,	PUNCT
american_scientific_journal-1155	112	6	l.	l.	PROPN
american_scientific_journal-1155	112	7	asymptotic	asymptotic	ADJ
american_scientific_journal-1155	112	8	behavior	behavior	NOUN
american_scientific_journal-1155	112	9	and	and	CCONJ
american_scientific_journal-1155	112	10	stability	stability	NOUN
american_scientific_journal-1155	112	11	problems	problem	NOUN
american_scientific_journal-1155	112	12	in	in	ADP
american_scientific_journal-1155	112	13	ordinary	ordinary	ADJ
american_scientific_journal-1155	112	14	differential	differential	ADJ
american_scientific_journal-1155	112	15	equations	equation	NOUN
american_scientific_journal-1155	112	16	,	,	PUNCT
american_scientific_journal-1155	112	17	springerverlag	springerverlag	NOUN
american_scientific_journal-1155	112	18	,	,	PUNCT
american_scientific_journal-1155	112	19	berlin	berlin	PROPN
american_scientific_journal-1155	112	20	,	,	PUNCT
american_scientific_journal-1155	112	21	1959	1959	NUM
american_scientific_journal-1155	112	22	.	.	PUNCT
american_scientific_journal-1155	113	1	[	[	X
american_scientific_journal-1155	113	2	5	5	NUM
american_scientific_journal-1155	113	3	]	]	PUNCT
american_scientific_journal-1155	113	4	demidovich	demidovich	PROPN
american_scientific_journal-1155	113	5	,	,	PUNCT
american_scientific_journal-1155	113	6	b.	b.	PROPN
american_scientific_journal-1155	113	7	p.	p.	NOUN
american_scientific_journal-1155	113	8	lectures	lecture	VERB
american_scientific_journal-1155	113	9	on	on	ADP
american_scientific_journal-1155	113	10	the	the	DET
american_scientific_journal-1155	113	11	mathematical	mathematical	ADJ
american_scientific_journal-1155	113	12	theory	theory	NOUN
american_scientific_journal-1155	113	13	of	of	ADP
american_scientific_journal-1155	113	14	the	the	DET
american_scientific_journal-1155	113	15	stability	stability	NOUN
american_scientific_journal-1155	113	16	,	,	PUNCT
american_scientific_journal-1155	113	17	science	science	NOUN
american_scientific_journal-1155	113	18	publishers	publisher	NOUN
american_scientific_journal-1155	113	19	,	,	PUNCT
american_scientific_journal-1155	113	20	moscow	moscow	PROPN
american_scientific_journal-1155	113	21	,	,	PUNCT
american_scientific_journal-1155	113	22	1967	1967	NUM
american_scientific_journal-1155	113	23	(	(	PUNCT
american_scientific_journal-1155	113	24	russian	russian	NOUN
american_scientific_journal-1155	113	25	)	)	PUNCT
american_scientific_journal-1155	113	26	.	.	PUNCT
american_scientific_journal-1155	114	1	[	[	X
american_scientific_journal-1155	114	2	6	6	NUM
american_scientific_journal-1155	114	3	]	]	PUNCT
american_scientific_journal-1155	114	4	hahn	hahn	PROPN
american_scientific_journal-1155	114	5	,	,	PUNCT
american_scientific_journal-1155	114	6	w.	w.	PROPN
american_scientific_journal-1155	114	7	theory	theory	NOUN
american_scientific_journal-1155	114	8	and	and	CCONJ
american_scientific_journal-1155	114	9	application	application	NOUN
american_scientific_journal-1155	114	10	of	of	ADP
american_scientific_journal-1155	114	11	liapunov´s	liapunov´s	ADJ
american_scientific_journal-1155	114	12	direct	direct	ADJ
american_scientific_journal-1155	114	13	method	method	NOUN
american_scientific_journal-1155	114	14	,	,	PUNCT
american_scientific_journal-1155	114	15	prentice	prentice	NOUN
american_scientific_journal-1155	114	16	-	-	PUNCT
american_scientific_journal-1155	114	17	hall	hall	NOUN
american_scientific_journal-1155	114	18	,	,	PUNCT
american_scientific_journal-1155	114	19	englewood	englewood	PROPN
american_scientific_journal-1155	114	20	cliffs	cliffs	PROPN
american_scientific_journal-1155	114	21	,	,	PUNCT
american_scientific_journal-1155	114	22	new	new	PROPN
american_scientific_journal-1155	114	23	jersey	jersey	PROPN
american_scientific_journal-1155	114	24	,	,	PUNCT
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american_scientific_journal-1155	114	26	.	.	PUNCT
american_scientific_journal-1155	115	1	[	[	X
american_scientific_journal-1155	115	2	7	7	X
american_scientific_journal-1155	115	3	]	]	X
american_scientific_journal-1155	115	4	yoshizawa	yoshizawa	PROPN
american_scientific_journal-1155	115	5	,	,	PUNCT
american_scientific_journal-1155	115	6	t.	t.	PROPN
american_scientific_journal-1155	115	7	stability	stability	NOUN
american_scientific_journal-1155	115	8	theory	theory	NOUN
american_scientific_journal-1155	115	9	by	by	ADP
american_scientific_journal-1155	115	10	liapunov´s	liapunov´s	ADJ
american_scientific_journal-1155	115	11	second	second	ADJ
american_scientific_journal-1155	115	12	method	method	NOUN
american_scientific_journal-1155	115	13	,	,	PUNCT
american_scientific_journal-1155	115	14	the	the	DET
american_scientific_journal-1155	115	15	mathematical	mathematical	ADJ
american_scientific_journal-1155	115	16	society	society	NOUN
american_scientific_journal-1155	115	17	of	of	ADP
american_scientific_journal-1155	115	18	japan	japan	PROPN
american_scientific_journal-1155	115	19	,	,	PUNCT
american_scientific_journal-1155	115	20	93	93	NUM
american_scientific_journal-1155	115	21	american	american	ADJ
american_scientific_journal-1155	115	22	scientific	scientific	ADJ
american_scientific_journal-1155	115	23	research	research	NOUN
american_scientific_journal-1155	115	24	journal	journal	NOUN
american_scientific_journal-1155	115	25	for	for	ADP
american_scientific_journal-1155	115	26	engineering	engineering	NOUN
american_scientific_journal-1155	115	27	,	,	PUNCT
american_scientific_journal-1155	115	28	technology	technology	NOUN
american_scientific_journal-1155	115	29	,	,	PUNCT
american_scientific_journal-1155	115	30	and	and	CCONJ
american_scientific_journal-1155	115	31	sciences	science	NOUN
american_scientific_journal-1155	115	32	(	(	PUNCT
american_scientific_journal-1155	115	33	asrjets	asrjet	NOUN
american_scientific_journal-1155	115	34	)	)	PUNCT
american_scientific_journal-1155	115	35	(	(	PUNCT
american_scientific_journal-1155	115	36	2016	2016	NUM
american_scientific_journal-1155	115	37	)	)	PUNCT
american_scientific_journal-1155	115	38	volume	volume	NOUN
american_scientific_journal-1155	115	39	17	17	NUM
american_scientific_journal-1155	115	40	,	,	PUNCT
american_scientific_journal-1155	115	41	no	no	DET
american_scientific_journal-1155	115	42	1	1	NUM
american_scientific_journal-1155	115	43	,	,	PUNCT
american_scientific_journal-1155	115	44	pp	pp	ADV
american_scientific_journal-1155	115	45	89	89	NUM
american_scientific_journal-1155	115	46	-	-	SYM
american_scientific_journal-1155	115	47	94	94	NUM
american_scientific_journal-1155	115	48	1966	1966	NUM
american_scientific_journal-1155	115	49	.	.	PUNCT
american_scientific_journal-1155	116	1	[	[	X
american_scientific_journal-1155	116	2	8	8	NUM
american_scientific_journal-1155	116	3	]	]	X
american_scientific_journal-1155	116	4	liénard	liénard	NOUN
american_scientific_journal-1155	116	5	,	,	PUNCT
american_scientific_journal-1155	116	6	a.	a.	PROPN
american_scientific_journal-1155	116	7	étude	étude	PROPN
american_scientific_journal-1155	116	8	des	des	PROPN
american_scientific_journal-1155	116	9	oscillations	oscillations	PROPN
american_scientific_journal-1155	116	10	entreteneus	entreteneus	NOUN
american_scientific_journal-1155	116	11	,	,	PUNCT
american_scientific_journal-1155	116	12	revue	revue	NOUN
american_scientific_journal-1155	116	13	génerale	génerale	NOUN
american_scientific_journal-1155	116	14	de	de	NOUN
american_scientific_journal-1155	116	15	l´électricité	l´électricité	PROPN
american_scientific_journal-1155	116	16	23	23	NUM
american_scientific_journal-1155	116	17	:	:	PUNCT
american_scientific_journal-1155	116	18	901	901	NUM
american_scientific_journal-1155	116	19	-	-	SYM
american_scientific_journal-1155	116	20	912	912	NUM
american_scientific_journal-1155	116	21	,	,	PUNCT
american_scientific_journal-1155	116	22	946	946	NUM
american_scientific_journal-1155	116	23	-	-	SYM
american_scientific_journal-1155	116	24	954	954	NUM
american_scientific_journal-1155	116	25	(	(	PUNCT
american_scientific_journal-1155	116	26	1928	1928	NUM
american_scientific_journal-1155	116	27	)	)	PUNCT
american_scientific_journal-1155	116	28	.	.	PUNCT
american_scientific_journal-1155	117	1	[	[	X
american_scientific_journal-1155	117	2	9	9	NUM
american_scientific_journal-1155	117	3	]	]	X
american_scientific_journal-1155	117	4	van	van	PROPN
american_scientific_journal-1155	117	5	der	der	PROPN
american_scientific_journal-1155	117	6	pol	pol	PROPN
american_scientific_journal-1155	117	7	,	,	PUNCT
american_scientific_journal-1155	117	8	b.	b.	PROPN
american_scientific_journal-1155	118	1	on	on	ADP
american_scientific_journal-1155	118	2	oscillation	oscillation	NOUN
american_scientific_journal-1155	118	3	hysteresis	hysteresis	NOUN
american_scientific_journal-1155	118	4	in	in	ADP
american_scientific_journal-1155	118	5	a	a	DET
american_scientific_journal-1155	118	6	triode	triode	NOUN
american_scientific_journal-1155	118	7	generator	generator	NOUN
american_scientific_journal-1155	118	8	with	with	ADP
american_scientific_journal-1155	118	9	two	two	NUM
american_scientific_journal-1155	118	10	degrees	degree	NOUN
american_scientific_journal-1155	118	11	of	of	ADP
american_scientific_journal-1155	118	12	freedom	freedom	NOUN
american_scientific_journal-1155	118	13	,	,	PUNCT
american_scientific_journal-1155	118	14	phil	phil	PROPN
american_scientific_journal-1155	118	15	.	.	PUNCT
american_scientific_journal-1155	119	1	mag	mag	INTJ
american_scientific_journal-1155	119	2	(	(	PUNCT
american_scientific_journal-1155	119	3	6	6	NUM
american_scientific_journal-1155	119	4	)	)	PUNCT
american_scientific_journal-1155	119	5	43	43	NUM
american_scientific_journal-1155	119	6	,	,	PUNCT
american_scientific_journal-1155	119	7	700	700	NUM
american_scientific_journal-1155	119	8	-	-	SYM
american_scientific_journal-1155	119	9	719	719	NUM
american_scientific_journal-1155	119	10	(	(	PUNCT
american_scientific_journal-1155	119	11	1922	1922	NUM
american_scientific_journal-1155	119	12	)	)	PUNCT
american_scientific_journal-1155	119	13	.	.	PUNCT
american_scientific_journal-1155	120	1	[	[	X
american_scientific_journal-1155	120	2	10	10	NUM
american_scientific_journal-1155	120	3	]	]	X
american_scientific_journal-1155	120	4	van	van	PROPN
american_scientific_journal-1155	120	5	der	der	PROPN
american_scientific_journal-1155	120	6	pol	pol	PROPN
american_scientific_journal-1155	120	7	,	,	PUNCT
american_scientific_journal-1155	120	8	b.	b.	PROPN
american_scientific_journal-1155	120	9	on	on	ADP
american_scientific_journal-1155	120	10	“	"	PUNCT
american_scientific_journal-1155	120	11	relaxation	relaxation	NOUN
american_scientific_journal-1155	120	12	-	-	PUNCT
american_scientific_journal-1155	120	13	oscillations	oscillation	NOUN
american_scientific_journal-1155	120	14	”	"	PUNCT
american_scientific_journal-1155	120	15	,	,	PUNCT
american_scientific_journal-1155	120	16	philosophical	philosophical	ADJ
american_scientific_journal-1155	120	17	magazine	magazine	NOUN
american_scientific_journal-1155	120	18	,	,	PUNCT
american_scientific_journal-1155	120	19	2(11	2(11	NUM
american_scientific_journal-1155	120	20	):	):	PUNCT
american_scientific_journal-1155	120	21	978	978	NUM
american_scientific_journal-1155	120	22	-	-	SYM
american_scientific_journal-1155	120	23	992	992	NUM
american_scientific_journal-1155	120	24	,	,	PUNCT
american_scientific_journal-1155	120	25	1926	1926	NUM
american_scientific_journal-1155	120	26	.	.	PUNCT
american_scientific_journal-1155	121	1	[	[	X
american_scientific_journal-1155	121	2	11	11	NUM
american_scientific_journal-1155	121	3	]	]	X
american_scientific_journal-1155	121	4	guckenheimer	guckenheimer	PROPN
american_scientific_journal-1155	121	5	,	,	PUNCT
american_scientific_journal-1155	121	6	j.	j.	PROPN
american_scientific_journal-1155	121	7	and	and	CCONJ
american_scientific_journal-1155	121	8	p.	p.	PROPN
american_scientific_journal-1155	121	9	holmes	holmes	PROPN
american_scientific_journal-1155	121	10	.	.	PUNCT
american_scientific_journal-1155	122	1	nonlinear	nonlinear	PROPN
american_scientific_journal-1155	122	2	ascillations	ascillation	NOUN
american_scientific_journal-1155	122	3	,	,	PUNCT
american_scientific_journal-1155	122	4	dynamical	dynamical	ADJ
american_scientific_journal-1155	122	5	systems	system	NOUN
american_scientific_journal-1155	122	6	,	,	PUNCT
american_scientific_journal-1155	122	7	and	and	CCONJ
american_scientific_journal-1155	122	8	bifurcations	bifurcation	NOUN
american_scientific_journal-1155	122	9	of	of	ADP
american_scientific_journal-1155	122	10	vector	vector	NOUN
american_scientific_journal-1155	122	11	fields	field	NOUN
american_scientific_journal-1155	122	12	,	,	PUNCT
american_scientific_journal-1155	122	13	volume	volume	NOUN
american_scientific_journal-1155	122	14	42	42	NUM
american_scientific_journal-1155	122	15	of	of	ADP
american_scientific_journal-1155	122	16	applied	apply	VERB
american_scientific_journal-1155	122	17	mathematical	mathematical	ADJ
american_scientific_journal-1155	122	18	sciences	science	NOUN
american_scientific_journal-1155	122	19	.	.	PUNCT
american_scientific_journal-1155	123	1	springer	springer	NOUN
american_scientific_journal-1155	123	2	-	-	PUNCT
american_scientific_journal-1155	123	3	verlag	verlag	PROPN
american_scientific_journal-1155	123	4	,	,	PUNCT
american_scientific_journal-1155	123	5	new	new	PROPN
american_scientific_journal-1155	123	6	york	york	PROPN
american_scientific_journal-1155	123	7	,	,	PUNCT
american_scientific_journal-1155	123	8	2002	2002	NUM
american_scientific_journal-1155	123	9	.	.	PUNCT
american_scientific_journal-1155	124	1	revised	revise	VERB
american_scientific_journal-1155	124	2	and	and	CCONJ
american_scientific_journal-1155	124	3	corrected	correct	VERB
american_scientific_journal-1155	124	4	reprint	reprint	NOUN
american_scientific_journal-1155	124	5	of	of	ADP
american_scientific_journal-1155	124	6	the	the	DET
american_scientific_journal-1155	124	7	1983	1983	NUM
american_scientific_journal-1155	124	8	original	original	NOUN
american_scientific_journal-1155	124	9	.	.	PUNCT
american_scientific_journal-1155	125	1	[	[	X
american_scientific_journal-1155	125	2	12	12	NUM
american_scientific_journal-1155	125	3	]	]	PUNCT
american_scientific_journal-1155	125	4	hricisakova	hricisakova	PROPN
american_scientific_journal-1155	125	5	,	,	PUNCT
american_scientific_journal-1155	125	6	d.	d.	PROPN
american_scientific_journal-1155	125	7	continuability	continuability	PROPN
american_scientific_journal-1155	125	8	and	and	CCONJ
american_scientific_journal-1155	125	9	(	(	PUNCT
american_scientific_journal-1155	125	10	non-	non-	SYM
american_scientific_journal-1155	125	11	)	)	PUNCT
american_scientific_journal-1155	125	12	oscillatory	oscillatory	ADJ
american_scientific_journal-1155	125	13	properties	property	NOUN
american_scientific_journal-1155	125	14	of	of	ADP
american_scientific_journal-1155	125	15	solutions	solution	NOUN
american_scientific_journal-1155	125	16	of	of	ADP
american_scientific_journal-1155	125	17	generalized	generalized	ADJ
american_scientific_journal-1155	125	18	lienard	lienard	ADJ
american_scientific_journal-1155	125	19	equation	equation	NOUN
american_scientific_journal-1155	125	20	,	,	PUNCT
american_scientific_journal-1155	125	21	hiroshima	hiroshima	PROPN
american_scientific_journal-1155	125	22	math	math	PROPN
american_scientific_journal-1155	125	23	.	.	PUNCT
american_scientific_journal-1155	126	1	j.	j.	PROPN
american_scientific_journal-1155	126	2	20	20	NUM
american_scientific_journal-1155	126	3	(	(	PUNCT
american_scientific_journal-1155	126	4	1990	1990	NUM
american_scientific_journal-1155	126	5	)	)	PUNCT
american_scientific_journal-1155	126	6	,	,	PUNCT
american_scientific_journal-1155	126	7	11	11	NUM
american_scientific_journal-1155	126	8	-	-	SYM
american_scientific_journal-1155	126	9	22	22	NUM
american_scientific_journal-1155	126	10	.	.	PUNCT
american_scientific_journal-1155	126	11	94	94	NUM