id	sid	tid	token	lemma	pos
american_scientific_journal-4050	1	1	297	297	NUM
american_scientific_journal-4050	1	2	american	american	ADJ
american_scientific_journal-4050	1	3	scientific	scientific	ADJ
american_scientific_journal-4050	1	4	research	research	NOUN
american_scientific_journal-4050	1	5	journal	journal	NOUN
american_scientific_journal-4050	1	6	for	for	ADP
american_scientific_journal-4050	1	7	engineering	engineering	NOUN
american_scientific_journal-4050	1	8	,	,	PUNCT
american_scientific_journal-4050	1	9	technology	technology	NOUN
american_scientific_journal-4050	1	10	,	,	PUNCT
american_scientific_journal-4050	1	11	and	and	CCONJ
american_scientific_journal-4050	1	12	sciences	science	NOUN
american_scientific_journal-4050	1	13	(	(	PUNCT
american_scientific_journal-4050	1	14	asrjets	asrjet	NOUN
american_scientific_journal-4050	1	15	)	)	PUNCT
american_scientific_journal-4050	1	16	issn	issn	PROPN
american_scientific_journal-4050	1	17	(	(	PUNCT
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american_scientific_journal-4050	1	19	)	)	PUNCT
american_scientific_journal-4050	1	20	2313	2313	NUM
american_scientific_journal-4050	1	21	-	-	SYM
american_scientific_journal-4050	1	22	4410	4410	NUM
american_scientific_journal-4050	1	23	,	,	PUNCT
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american_scientific_journal-4050	1	25	(	(	PUNCT
american_scientific_journal-4050	1	26	online	online	ADJ
american_scientific_journal-4050	1	27	)	)	PUNCT
american_scientific_journal-4050	1	28	2313	2313	NUM
american_scientific_journal-4050	1	29	-	-	SYM
american_scientific_journal-4050	1	30	4402	4402	NUM
american_scientific_journal-4050	1	31	©	©	PROPN
american_scientific_journal-4050	1	32	global	global	ADJ
american_scientific_journal-4050	1	33	society	society	NOUN
american_scientific_journal-4050	1	34	of	of	ADP
american_scientific_journal-4050	1	35	scientific	scientific	ADJ
american_scientific_journal-4050	1	36	research	research	NOUN
american_scientific_journal-4050	1	37	and	and	CCONJ
american_scientific_journal-4050	1	38	researchers	researcher	NOUN
american_scientific_journal-4050	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PRON
american_scientific_journal-4050	1	40	implicit	implicit	ADJ
american_scientific_journal-4050	1	41	second	second	ADJ
american_scientific_journal-4050	1	42	derivative	derivative	ADJ
american_scientific_journal-4050	1	43	hybrid	hybrid	ADJ
american_scientific_journal-4050	1	44	linear	linear	ADJ
american_scientific_journal-4050	1	45	multistep	multistep	ADJ
american_scientific_journal-4050	1	46	method	method	NOUN
american_scientific_journal-4050	1	47	with	with	ADP
american_scientific_journal-4050	1	48	nested	nested	ADJ
american_scientific_journal-4050	1	49	predictors	predictor	NOUN
american_scientific_journal-4050	1	50	for	for	ADP
american_scientific_journal-4050	1	51	ordinary	ordinary	ADJ
american_scientific_journal-4050	1	52	differential	differential	ADJ
american_scientific_journal-4050	1	53	equations	equation	NOUN
american_scientific_journal-4050	1	54	s.	s.	PROPN
american_scientific_journal-4050	1	55	e.	e.	PROPN
american_scientific_journal-4050	1	56	ekoroa	ekoroa	PROPN
american_scientific_journal-4050	1	57	*	*	PROPN
american_scientific_journal-4050	1	58	,	,	PUNCT
american_scientific_journal-4050	1	59	m.	m.	NOUN
american_scientific_journal-4050	1	60	n.	n.	PROPN
american_scientific_journal-4050	1	61	o.	o.	PROPN
american_scientific_journal-4050	1	62	ikhileb	ikhileb	PROPN
american_scientific_journal-4050	1	63	,	,	PUNCT
american_scientific_journal-4050	1	64	i.	i.	PROPN
american_scientific_journal-4050	1	65	m.	m.	PROPN
american_scientific_journal-4050	1	66	esuabanac	esuabanac	PROPN
american_scientific_journal-4050	1	67	adepartment	adepartment	NOUN
american_scientific_journal-4050	1	68	of	of	ADP
american_scientific_journal-4050	1	69	mathematics	mathematic	NOUN
american_scientific_journal-4050	1	70	,	,	PUNCT
american_scientific_journal-4050	1	71	university	university	NOUN
american_scientific_journal-4050	1	72	of	of	ADP
american_scientific_journal-4050	1	73	calabar	calabar	PROPN
american_scientific_journal-4050	1	74	,	,	PUNCT
american_scientific_journal-4050	1	75	calabar	calabar	PROPN
american_scientific_journal-4050	1	76	,	,	PUNCT
american_scientific_journal-4050	1	77	cross	cross	NOUN
american_scientific_journal-4050	1	78	river	river	PROPN
american_scientific_journal-4050	1	79	state	state	PROPN
american_scientific_journal-4050	1	80	,	,	PUNCT
american_scientific_journal-4050	1	81	nigeria	nigeria	PROPN
american_scientific_journal-4050	1	82	bdepartment	bdepartment	NOUN
american_scientific_journal-4050	1	83	of	of	ADP
american_scientific_journal-4050	1	84	mathematics	mathematic	NOUN
american_scientific_journal-4050	1	85	,	,	PUNCT
american_scientific_journal-4050	1	86	university	university	PROPN
american_scientific_journal-4050	1	87	of	of	ADP
american_scientific_journal-4050	1	88	benin	benin	PROPN
american_scientific_journal-4050	1	89	,	,	PUNCT
american_scientific_journal-4050	1	90	benin	benin	PROPN
american_scientific_journal-4050	1	91	,	,	PUNCT
american_scientific_journal-4050	1	92	edo	edo	PROPN
american_scientific_journal-4050	1	93	state	state	PROPN
american_scientific_journal-4050	1	94	,	,	PUNCT
american_scientific_journal-4050	1	95	nigeria	nigeria	PROPN
american_scientific_journal-4050	1	96	cdepartment	cdepartment	NOUN
american_scientific_journal-4050	1	97	of	of	ADP
american_scientific_journal-4050	1	98	mathematics	mathematic	NOUN
american_scientific_journal-4050	1	99	,	,	PUNCT
american_scientific_journal-4050	1	100	university	university	NOUN
american_scientific_journal-4050	1	101	of	of	ADP
american_scientific_journal-4050	1	102	calabar	calabar	PROPN
american_scientific_journal-4050	1	103	,	,	PUNCT
american_scientific_journal-4050	1	104	calabar	calabar	PROPN
american_scientific_journal-4050	1	105	,	,	PUNCT
american_scientific_journal-4050	1	106	cross	cross	NOUN
american_scientific_journal-4050	1	107	river	river	PROPN
american_scientific_journal-4050	1	108	state	state	PROPN
american_scientific_journal-4050	1	109	,	,	PUNCT
american_scientific_journal-4050	1	110	nigeria	nigeria	PROPN
american_scientific_journal-4050	1	111	aemail	aemail	NOUN
american_scientific_journal-4050	1	112	:	:	PUNCT
american_scientific_journal-4050	1	113	ekorosam@yahoo.com	ekorosam@yahoo.com	X
american_scientific_journal-4050	1	114	bemail	bemail	NOUN
american_scientific_journal-4050	1	115	:	:	PUNCT
american_scientific_journal-4050	1	116	mnoikhile@yahoo.com	mnoikhile@yahoo.com	X
american_scientific_journal-4050	1	117	cemail	cemail	NOUN
american_scientific_journal-4050	1	118	:	:	PUNCT
american_scientific_journal-4050	1	119	esuabanaita@gmail.com	esuabanaita@gmail.com	X
american_scientific_journal-4050	2	1	abstract	abstract	ADV
american_scientific_journal-4050	2	2	in	in	ADP
american_scientific_journal-4050	2	3	this	this	DET
american_scientific_journal-4050	2	4	paper	paper	NOUN
american_scientific_journal-4050	2	5	,	,	PUNCT
american_scientific_journal-4050	2	6	we	we	PRON
american_scientific_journal-4050	2	7	considered	consider	VERB
american_scientific_journal-4050	2	8	an	an	DET
american_scientific_journal-4050	2	9	implicit	implicit	ADJ
american_scientific_journal-4050	2	10	hybrid	hybrid	ADJ
american_scientific_journal-4050	2	11	linear	linear	ADJ
american_scientific_journal-4050	2	12	multistep	multistep	ADJ
american_scientific_journal-4050	2	13	method	method	NOUN
american_scientific_journal-4050	2	14	with	with	ADP
american_scientific_journal-4050	2	15	nested	nested	ADJ
american_scientific_journal-4050	2	16	hybrid	hybrid	ADJ
american_scientific_journal-4050	2	17	predictors	predictor	NOUN
american_scientific_journal-4050	2	18	for	for	ADP
american_scientific_journal-4050	2	19	solving	solve	VERB
american_scientific_journal-4050	2	20	first	first	ADJ
american_scientific_journal-4050	2	21	order	order	NOUN
american_scientific_journal-4050	2	22	initial	initial	ADJ
american_scientific_journal-4050	2	23	value	value	NOUN
american_scientific_journal-4050	2	24	problems	problem	NOUN
american_scientific_journal-4050	2	25	in	in	ADP
american_scientific_journal-4050	2	26	ordinary	ordinary	ADJ
american_scientific_journal-4050	2	27	differential	differential	ADJ
american_scientific_journal-4050	2	28	equations	equation	NOUN
american_scientific_journal-4050	2	29	.	.	PUNCT
american_scientific_journal-4050	3	1	the	the	DET
american_scientific_journal-4050	3	2	derivation	derivation	NOUN
american_scientific_journal-4050	3	3	of	of	ADP
american_scientific_journal-4050	3	4	the	the	DET
american_scientific_journal-4050	3	5	methods	method	NOUN
american_scientific_journal-4050	3	6	is	be	AUX
american_scientific_journal-4050	3	7	based	base	VERB
american_scientific_journal-4050	3	8	on	on	ADP
american_scientific_journal-4050	3	9	interpolation	interpolation	NOUN
american_scientific_journal-4050	3	10	and	and	CCONJ
american_scientific_journal-4050	3	11	collocation	collocation	NOUN
american_scientific_journal-4050	3	12	approach	approach	NOUN
american_scientific_journal-4050	3	13	using	use	VERB
american_scientific_journal-4050	3	14	polynomial	polynomial	ADJ
american_scientific_journal-4050	3	15	basis	basis	NOUN
american_scientific_journal-4050	3	16	function	function	NOUN
american_scientific_journal-4050	3	17	.	.	PUNCT
american_scientific_journal-4050	4	1	the	the	DET
american_scientific_journal-4050	4	2	region	region	NOUN
american_scientific_journal-4050	4	3	of	of	ADP
american_scientific_journal-4050	4	4	absolute	absolute	ADJ
american_scientific_journal-4050	4	5	stability	stability	NOUN
american_scientific_journal-4050	4	6	of	of	ADP
american_scientific_journal-4050	4	7	the	the	DET
american_scientific_journal-4050	4	8	method	method	NOUN
american_scientific_journal-4050	4	9	is	be	AUX
american_scientific_journal-4050	4	10	investigated	investigate	VERB
american_scientific_journal-4050	4	11	using	use	VERB
american_scientific_journal-4050	4	12	the	the	DET
american_scientific_journal-4050	4	13	boundary	boundary	ADJ
american_scientific_journal-4050	4	14	locus	locus	NOUN
american_scientific_journal-4050	4	15	approach	approach	NOUN
american_scientific_journal-4050	4	16	and	and	CCONJ
american_scientific_journal-4050	4	17	the	the	DET
american_scientific_journal-4050	4	18	methods	method	NOUN
american_scientific_journal-4050	4	19	have	have	AUX
american_scientific_journal-4050	4	20	been	be	AUX
american_scientific_journal-4050	4	21	found	find	VERB
american_scientific_journal-4050	4	22	to	to	PART
american_scientific_journal-4050	4	23	be	be	AUX
american_scientific_journal-4050	4	24	a	a	DET
american_scientific_journal-4050	4	25	−	−	NOUN
american_scientific_journal-4050	4	26	stable	stable	ADJ
american_scientific_journal-4050	4	27	for	for	ADP
american_scientific_journal-4050	4	28	step	step	NOUN
american_scientific_journal-4050	4	29	-	-	PUNCT
american_scientific_journal-4050	4	30	length	length	NOUN
american_scientific_journal-4050	4	31	6.k	6.k	NUM
american_scientific_journal-4050	4	32	≤	≤	NUM
american_scientific_journal-4050	4	33	keywords	keyword	NOUN
american_scientific_journal-4050	4	34	:	:	PUNCT
american_scientific_journal-4050	4	35	linear	linear	ADJ
american_scientific_journal-4050	4	36	multistep	multistep	ADJ
american_scientific_journal-4050	4	37	methods	method	NOUN
american_scientific_journal-4050	4	38	;	;	PUNCT
american_scientific_journal-4050	4	39	hybrid	hybrid	NOUN
american_scientific_journal-4050	4	40	;	;	PUNCT
american_scientific_journal-4050	4	41	nesting	nesting	NOUN
american_scientific_journal-4050	4	42	;	;	PUNCT
american_scientific_journal-4050	4	43	interpolation	interpolation	NOUN
american_scientific_journal-4050	4	44	;	;	PUNCT
american_scientific_journal-4050	4	45	collocation	collocation	NOUN
american_scientific_journal-4050	4	46	;	;	PUNCT
american_scientific_journal-4050	4	47	boundary	boundary	ADJ
american_scientific_journal-4050	4	48	locus	locus	NOUN
american_scientific_journal-4050	4	49	.	.	PUNCT
american_scientific_journal-4050	5	1	1	1	X
american_scientific_journal-4050	5	2	.	.	X
american_scientific_journal-4050	5	3	introduction	introduction	NOUN
american_scientific_journal-4050	5	4	the	the	DET
american_scientific_journal-4050	5	5	conventional	conventional	ADJ
american_scientific_journal-4050	5	6	linear	linear	ADJ
american_scientific_journal-4050	5	7	multistep	multistep	ADJ
american_scientific_journal-4050	5	8	method	method	NOUN
american_scientific_journal-4050	5	9	(	(	PUNCT
american_scientific_journal-4050	5	10	lmm	lmm	PROPN
american_scientific_journal-4050	5	11	)	)	PUNCT
american_scientific_journal-4050	5	12	is	be	AUX
american_scientific_journal-4050	5	13	defined	define	VERB
american_scientific_journal-4050	5	14	as	as	ADP
american_scientific_journal-4050	5	15	0	0	NUM
american_scientific_journal-4050	5	16	0	0	NUM
american_scientific_journal-4050	6	1	k	k	PROPN
american_scientific_journal-4050	6	2	k	k	PROPN
american_scientific_journal-4050	6	3	j	j	PROPN
american_scientific_journal-4050	6	4	n	n	CCONJ
american_scientific_journal-4050	6	5	j	j	PROPN
american_scientific_journal-4050	6	6	j	j	PROPN
american_scientific_journal-4050	6	7	n	n	CCONJ
american_scientific_journal-4050	6	8	j	j	PROPN
american_scientific_journal-4050	7	1	j	j	PROPN
american_scientific_journal-4050	7	2	j	j	PROPN
american_scientific_journal-4050	7	3	y	y	PROPN
american_scientific_journal-4050	7	4	h	h	NOUN
american_scientific_journal-4050	7	5	fα	fα	ADP
american_scientific_journal-4050	7	6	β+	β+	PUNCT
american_scientific_journal-4050	7	7	+	+	PUNCT
american_scientific_journal-4050	7	8	=	=	SYM
american_scientific_journal-4050	7	9	=	=	SYM
american_scientific_journal-4050	8	1	=	=	NOUN
american_scientific_journal-4050	8	2	∑	∑	PROPN
american_scientific_journal-4050	8	3	∑	∑	PROPN
american_scientific_journal-4050	8	4	(	(	PUNCT
american_scientific_journal-4050	8	5	1.1	1.1	NUM
american_scientific_journal-4050	8	6	)	)	PUNCT
american_scientific_journal-4050	8	7	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-4050	9	1	*	*	PUNCT
american_scientific_journal-4050	9	2	corresponding	correspond	VERB
american_scientific_journal-4050	9	3	author	author	NOUN
american_scientific_journal-4050	9	4	.	.	PUNCT
american_scientific_journal-4050	10	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-4050	10	2	american	american	PROPN
american_scientific_journal-4050	10	3	scientific	scientific	PROPN
american_scientific_journal-4050	10	4	research	research	NOUN
american_scientific_journal-4050	10	5	journal	journal	NOUN
american_scientific_journal-4050	10	6	for	for	ADP
american_scientific_journal-4050	10	7	engineering	engineering	NOUN
american_scientific_journal-4050	10	8	,	,	PUNCT
american_scientific_journal-4050	10	9	technology	technology	NOUN
american_scientific_journal-4050	10	10	,	,	PUNCT
american_scientific_journal-4050	10	11	and	and	CCONJ
american_scientific_journal-4050	10	12	sciences	science	NOUN
american_scientific_journal-4050	10	13	(	(	PUNCT
american_scientific_journal-4050	10	14	asrjets	asrjet	NOUN
american_scientific_journal-4050	10	15	)	)	PUNCT
american_scientific_journal-4050	10	16	(	(	PUNCT
american_scientific_journal-4050	10	17	2018	2018	NUM
american_scientific_journal-4050	10	18	)	)	PUNCT
american_scientific_journal-4050	10	19	volume	volume	NOUN
american_scientific_journal-4050	10	20	42	42	NUM
american_scientific_journal-4050	10	21	,	,	PUNCT
american_scientific_journal-4050	10	22	no	no	DET
american_scientific_journal-4050	10	23	1	1	NUM
american_scientific_journal-4050	10	24	,	,	PUNCT
american_scientific_journal-4050	10	25	pp	pp	ADV
american_scientific_journal-4050	10	26	297	297	NUM
american_scientific_journal-4050	10	27	-	-	SYM
american_scientific_journal-4050	10	28	308	308	NUM
american_scientific_journal-4050	10	29	298	298	NUM
american_scientific_journal-4050	10	30	where	where	SCONJ
american_scientific_journal-4050	10	31	jα	jα	NOUN
american_scientific_journal-4050	10	32	and	and	CCONJ
american_scientific_journal-4050	10	33	jβ	jβ	PROPN
american_scientific_journal-4050	10	34	are	be	AUX
american_scientific_journal-4050	10	35	parameter	parameter	NOUN
american_scientific_journal-4050	10	36	constants	constant	NOUN
american_scientific_journal-4050	10	37	to	to	PART
american_scientific_journal-4050	10	38	be	be	AUX
american_scientific_journal-4050	10	39	determined	determine	VERB
american_scientific_journal-4050	10	40	.	.	PUNCT
american_scientific_journal-4050	11	1	the	the	DET
american_scientific_journal-4050	11	2	kβ	kβ	NOUN
american_scientific_journal-4050	11	3	determines	determine	VERB
american_scientific_journal-4050	11	4	if	if	SCONJ
american_scientific_journal-4050	11	5	the	the	DET
american_scientific_journal-4050	11	6	linear	linear	ADJ
american_scientific_journal-4050	11	7	multistep	multistep	ADJ
american_scientific_journal-4050	11	8	method	method	NOUN
american_scientific_journal-4050	11	9	is	be	AUX
american_scientific_journal-4050	11	10	explicit	explicit	ADJ
american_scientific_journal-4050	11	11	or	or	CCONJ
american_scientific_journal-4050	11	12	implicit	implicit	ADJ
american_scientific_journal-4050	11	13	.	.	PUNCT
american_scientific_journal-4050	12	1	for	for	ADP
american_scientific_journal-4050	12	2	explicit	explicit	ADJ
american_scientific_journal-4050	12	3	lmm	lmm	PROPN
american_scientific_journal-4050	12	4	(	(	PUNCT
american_scientific_journal-4050	12	5	1.1	1.1	NUM
american_scientific_journal-4050	12	6	)	)	PUNCT
american_scientific_journal-4050	12	7	,	,	PUNCT
american_scientific_journal-4050	12	8	0kβ	0kβ	PUNCT
american_scientific_journal-4050	13	1	=	=	PUNCT
american_scientific_journal-4050	13	2	and	and	CCONJ
american_scientific_journal-4050	13	3	for	for	ADP
american_scientific_journal-4050	13	4	implicit	implicit	ADJ
american_scientific_journal-4050	13	5	methods	method	NOUN
american_scientific_journal-4050	13	6	,	,	PUNCT
american_scientific_journal-4050	13	7	0kβ	0kβ	NOUN
american_scientific_journal-4050	13	8	≠	≠	PROPN
american_scientific_journal-4050	13	9	.	.	PUNCT
american_scientific_journal-4050	14	1	this	this	PRON
american_scientific_journal-4050	14	2	is	be	AUX
american_scientific_journal-4050	14	3	a	a	DET
american_scientific_journal-4050	14	4	popular	popular	ADJ
american_scientific_journal-4050	14	5	method	method	NOUN
american_scientific_journal-4050	14	6	for	for	ADP
american_scientific_journal-4050	14	7	the	the	DET
american_scientific_journal-4050	14	8	numerical	numerical	ADJ
american_scientific_journal-4050	14	9	approximation	approximation	NOUN
american_scientific_journal-4050	14	10	of	of	ADP
american_scientific_journal-4050	14	11	the	the	DET
american_scientific_journal-4050	14	12	solutions	solution	NOUN
american_scientific_journal-4050	14	13	of	of	ADP
american_scientific_journal-4050	14	14	initial	initial	ADJ
american_scientific_journal-4050	14	15	value	value	NOUN
american_scientific_journal-4050	14	16	problems	problem	NOUN
american_scientific_journal-4050	14	17	in	in	ADP
american_scientific_journal-4050	14	18	ordinary	ordinary	ADJ
american_scientific_journal-4050	14	19	differential	differential	ADJ
american_scientific_journal-4050	14	20	equations	equation	NOUN
american_scientific_journal-4050	14	21	(	(	PUNCT
american_scientific_journal-4050	14	22	)	)	PUNCT
american_scientific_journal-4050	14	23	'	'	PUNCT
american_scientific_journal-4050	14	24	,	,	PUNCT
american_scientific_journal-4050	14	25	y	y	PROPN
american_scientific_journal-4050	14	26	f	f	PROPN
american_scientific_journal-4050	14	27	x	x	PROPN
american_scientific_journal-4050	14	28	y=	y=	PROPN
american_scientific_journal-4050	14	29	,	,	PUNCT
american_scientific_journal-4050	14	30	(	(	PUNCT
american_scientific_journal-4050	14	31	)	)	PUNCT
american_scientific_journal-4050	14	32	0	0	NUM
american_scientific_journal-4050	14	33	0y	0y	NOUN
american_scientific_journal-4050	14	34	x	x	X
american_scientific_journal-4050	14	35	y=	y=	NUM
american_scientific_journal-4050	14	36	(	(	PUNCT
american_scientific_journal-4050	14	37	1.2	1.2	NUM
american_scientific_journal-4050	14	38	)	)	PUNCT
american_scientific_journal-4050	14	39	its	its	PRON
american_scientific_journal-4050	14	40	stability	stability	NOUN
american_scientific_journal-4050	14	41	and	and	CCONJ
american_scientific_journal-4050	14	42	order	order	NOUN
american_scientific_journal-4050	14	43	are	be	AUX
american_scientific_journal-4050	14	44	subject	subject	ADJ
american_scientific_journal-4050	14	45	to	to	ADP
american_scientific_journal-4050	14	46	some	some	DET
american_scientific_journal-4050	14	47	constraints	constraint	NOUN
american_scientific_journal-4050	14	48	by	by	ADP
american_scientific_journal-4050	14	49	[	[	X
american_scientific_journal-4050	14	50	4	4	NUM
american_scientific_journal-4050	14	51	]	]	PUNCT
american_scientific_journal-4050	14	52	.	.	PUNCT
american_scientific_journal-4050	15	1	modification	modification	NOUN
american_scientific_journal-4050	15	2	have	have	AUX
american_scientific_journal-4050	15	3	been	be	AUX
american_scientific_journal-4050	15	4	made	make	VERB
american_scientific_journal-4050	15	5	to	to	PART
american_scientific_journal-4050	15	6	overcome	overcome	VERB
american_scientific_journal-4050	15	7	the	the	DET
american_scientific_journal-4050	15	8	barrier	barrier	NOUN
american_scientific_journal-4050	15	9	,	,	PUNCT
american_scientific_journal-4050	15	10	see	see	VERB
american_scientific_journal-4050	15	11	[	[	X
american_scientific_journal-4050	15	12	2,5,6,7,15,16	2,5,6,7,15,16	X
american_scientific_journal-4050	15	13	]	]	X
american_scientific_journal-4050	15	14	among	among	ADP
american_scientific_journal-4050	15	15	others	other	NOUN
american_scientific_journal-4050	15	16	.	.	PUNCT
american_scientific_journal-4050	16	1	reference	reference	NOUN
american_scientific_journal-4050	16	2	[	[	X
american_scientific_journal-4050	16	3	6	6	NUM
american_scientific_journal-4050	16	4	]	]	PUNCT
american_scientific_journal-4050	16	5	introduced	introduce	VERB
american_scientific_journal-4050	16	6	a	a	DET
american_scientific_journal-4050	16	7	second	second	ADJ
american_scientific_journal-4050	16	8	derivative	derivative	ADJ
american_scientific_journal-4050	16	9	term	term	NOUN
american_scientific_journal-4050	16	10	into	into	ADP
american_scientific_journal-4050	16	11	the	the	DET
american_scientific_journal-4050	16	12	adamstype	adamstype	NOUN
american_scientific_journal-4050	16	13	lmm	lmm	X
american_scientific_journal-4050	16	14	(	(	PUNCT
american_scientific_journal-4050	16	15	1.1	1.1	NUM
american_scientific_journal-4050	16	16	)	)	PUNCT
american_scientific_journal-4050	16	17	to	to	PART
american_scientific_journal-4050	16	18	obtain	obtain	VERB
american_scientific_journal-4050	16	19	the	the	DET
american_scientific_journal-4050	16	20	second	second	ADJ
american_scientific_journal-4050	16	21	derivative	derivative	ADJ
american_scientific_journal-4050	16	22	linear	linear	ADJ
american_scientific_journal-4050	16	23	multistep	multistep	NOUN
american_scientific_journal-4050	16	24	(	(	PUNCT
american_scientific_journal-4050	16	25	sdlmm	sdlmm	NOUN
american_scientific_journal-4050	16	26	)	)	PUNCT
american_scientific_journal-4050	16	27	of	of	ADP
american_scientific_journal-4050	16	28	the	the	DET
american_scientific_journal-4050	16	29	form	form	NOUN
american_scientific_journal-4050	16	30	2	2	NUM
american_scientific_journal-4050	16	31	1	1	NUM
american_scientific_journal-4050	16	32	1	1	NUM
american_scientific_journal-4050	16	33	0	0	NUM
american_scientific_journal-4050	16	34	'	'	PUNCT
american_scientific_journal-4050	16	35	k	k	PROPN
american_scientific_journal-4050	16	36	n	n	PROPN
american_scientific_journal-4050	16	37	k	k	PROPN
american_scientific_journal-4050	16	38	k	k	PROPN
american_scientific_journal-4050	17	1	n	n	PROPN
american_scientific_journal-4050	17	2	k	k	PROPN
american_scientific_journal-4050	17	3	j	j	PROPN
american_scientific_journal-4050	17	4	n	n	CCONJ
american_scientific_journal-4050	17	5	j	j	PROPN
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american_scientific_journal-4050	17	7	k	k	PROPN
american_scientific_journal-4050	17	8	j	j	PROPN
american_scientific_journal-4050	18	1	y	y	PROPN
american_scientific_journal-4050	18	2	y	y	PROPN
american_scientific_journal-4050	18	3	h	h	NOUN
american_scientific_journal-4050	19	1	f	f	PROPN
american_scientific_journal-4050	19	2	h	h	NOUN
american_scientific_journal-4050	19	3	fα	fα	VERB
american_scientific_journal-4050	19	4	β+	β+	PUNCT
american_scientific_journal-4050	19	5	−	−	PROPN
american_scientific_journal-4050	20	1	+	+	CCONJ
american_scientific_journal-4050	20	2	−	−	PROPN
american_scientific_journal-4050	21	1	+	+	CCONJ
american_scientific_journal-4050	21	2	+	+	PUNCT
american_scientific_journal-4050	21	3	=	=	SYM
american_scientific_journal-4050	21	4	=	=	SYM
american_scientific_journal-4050	22	1	+	+	PUNCT
american_scientific_journal-4050	22	2	+	+	ADJ
american_scientific_journal-4050	22	3	∑	∑	PROPN
american_scientific_journal-4050	22	4	(	(	PUNCT
american_scientific_journal-4050	22	5	1.3	1.3	NUM
american_scientific_journal-4050	22	6	)	)	PUNCT
american_scientific_journal-4050	22	7	off	off	ADP
american_scientific_journal-4050	22	8	-	-	PUNCT
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american_scientific_journal-4050	22	10	points	point	NOUN
american_scientific_journal-4050	22	11	have	have	AUX
american_scientific_journal-4050	22	12	been	be	AUX
american_scientific_journal-4050	22	13	introduced	introduce	VERB
american_scientific_journal-4050	22	14	into	into	ADP
american_scientific_journal-4050	22	15	this	this	DET
american_scientific_journal-4050	22	16	linear	linear	ADJ
american_scientific_journal-4050	22	17	multistep	multistep	ADJ
american_scientific_journal-4050	22	18	method	method	NOUN
american_scientific_journal-4050	22	19	to	to	PART
american_scientific_journal-4050	22	20	overcome	overcome	VERB
american_scientific_journal-4050	22	21	dahlquist	dahlquist	NOUN
american_scientific_journal-4050	22	22	order	order	NOUN
american_scientific_journal-4050	22	23	and	and	CCONJ
american_scientific_journal-4050	22	24	stability	stability	NOUN
american_scientific_journal-4050	22	25	barrier	barrier	NOUN
american_scientific_journal-4050	22	26	.	.	PUNCT
american_scientific_journal-4050	23	1	other	other	ADJ
american_scientific_journal-4050	23	2	extension	extension	NOUN
american_scientific_journal-4050	23	3	of	of	ADP
american_scientific_journal-4050	23	4	(	(	PUNCT
american_scientific_journal-4050	23	5	1.1	1.1	NUM
american_scientific_journal-4050	23	6	)	)	PUNCT
american_scientific_journal-4050	23	7	can	can	AUX
american_scientific_journal-4050	23	8	be	be	AUX
american_scientific_journal-4050	23	9	found	find	VERB
american_scientific_journal-4050	23	10	in	in	ADP
american_scientific_journal-4050	23	11	[	[	X
american_scientific_journal-4050	23	12	10,1,8,3,11,14,16	10,1,8,3,11,14,16	NUM
american_scientific_journal-4050	23	13	]	]	X
american_scientific_journal-4050	23	14	.	.	PUNCT
american_scientific_journal-4050	24	1	our	our	PRON
american_scientific_journal-4050	24	2	interest	interest	NOUN
american_scientific_journal-4050	24	3	in	in	ADP
american_scientific_journal-4050	24	4	this	this	DET
american_scientific_journal-4050	24	5	paper	paper	NOUN
american_scientific_journal-4050	24	6	is	be	AUX
american_scientific_journal-4050	24	7	to	to	PART
american_scientific_journal-4050	24	8	construct	construct	VERB
american_scientific_journal-4050	24	9	an	an	DET
american_scientific_journal-4050	24	10	implicit	implicit	ADJ
american_scientific_journal-4050	24	11	second	second	ADJ
american_scientific_journal-4050	24	12	derivative	derivative	ADJ
american_scientific_journal-4050	24	13	hybrid	hybrid	ADJ
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american_scientific_journal-4050	24	15	multistep	multistep	ADJ
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american_scientific_journal-4050	24	17	of	of	ADP
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american_scientific_journal-4050	24	20	(	(	PUNCT
american_scientific_journal-4050	24	21	)	)	PUNCT
american_scientific_journal-4050	24	22	(	(	PUNCT
american_scientific_journal-4050	24	23	)	)	PUNCT
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american_scientific_journal-4050	24	25	)	)	SYM
american_scientific_journal-4050	24	26	2	2	NUM
american_scientific_journal-4050	24	27	1	1	NUM
american_scientific_journal-4050	24	28	0	0	NUM
american_scientific_journal-4050	24	29	'	'	PUNCT
american_scientific_journal-4050	24	30	mm	mm	INTJ
american_scientific_journal-4050	24	31	k	k	NOUN
american_scientific_journal-4050	24	32	m	m	VERB
american_scientific_journal-4050	24	33	m	m	VERB
american_scientific_journal-4050	24	34	m	m	VERB
american_scientific_journal-4050	24	35	n	n	ADV
american_scientific_journal-4050	24	36	k	k	PROPN
american_scientific_journal-4050	24	37	n	n	CCONJ
american_scientific_journal-4050	24	38	k	k	PROPN
american_scientific_journal-4050	24	39	j	j	PROPN
american_scientific_journal-4050	24	40	n	n	CCONJ
american_scientific_journal-4050	24	41	j	j	PROPN
american_scientific_journal-4050	24	42	n	n	ADP
american_scientific_journal-4050	24	43	v	v	PROPN
american_scientific_journal-4050	24	44	n	n	ADV
american_scientific_journal-4050	24	45	kkv	kkv	VERB
american_scientific_journal-4050	25	1	j	j	PROPN
american_scientific_journal-4050	25	2	y	y	PROPN
american_scientific_journal-4050	25	3	y	y	PROPN
american_scientific_journal-4050	25	4	h	h	NOUN
american_scientific_journal-4050	26	1	f	f	PROPN
american_scientific_journal-4050	26	2	f	f	PROPN
american_scientific_journal-4050	26	3	h	h	NOUN
american_scientific_journal-4050	26	4	fβ	fβ	VERB
american_scientific_journal-4050	26	5	β	β	X
american_scientific_journal-4050	26	6	λ+	λ+	X
american_scientific_journal-4050	26	7	+	+	CCONJ
american_scientific_journal-4050	27	1	−	−	X
american_scientific_journal-4050	28	1	+	+	SYM
american_scientific_journal-4050	29	1	+	+	CCONJ
american_scientific_journal-4050	29	2	+	+	CCONJ
american_scientific_journal-4050	29	3	=	=	NOUN
american_scientific_journal-4050	29	4			X
american_scientific_journal-4050	29	5			PUNCT
american_scientific_journal-4050	30	1	=	=	PUNCT
american_scientific_journal-4050	31	1	+	+	PUNCT
american_scientific_journal-4050	32	1	+	+	CCONJ
american_scientific_journal-4050	32	2	+	+	ADJ
american_scientific_journal-4050	32	3			ADJ
american_scientific_journal-4050	32	4			NOUN
american_scientific_journal-4050	32	5			VERB
american_scientific_journal-4050	32	6			PRON
american_scientific_journal-4050	32	7			PUNCT
american_scientific_journal-4050	32	8	∑	∑	PUNCT
american_scientific_journal-4050	32	9	(	(	PUNCT
american_scientific_journal-4050	32	10	1.4	1.4	NUM
american_scientific_journal-4050	32	11	)	)	PUNCT
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american_scientific_journal-4050	32	13	are	be	AUX
american_scientific_journal-4050	32	14	of	of	ADP
american_scientific_journal-4050	32	15	order	order	NOUN
american_scientific_journal-4050	32	16	3p	3p	NUM
american_scientific_journal-4050	32	17	k=	k=	NOUN
american_scientific_journal-4050	33	1	+	+	CCONJ
american_scientific_journal-4050	33	2	with	with	ADP
american_scientific_journal-4050	33	3	the	the	DET
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american_scientific_journal-4050	33	5	(	(	PUNCT
american_scientific_journal-4050	33	6	)	)	PUNCT
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american_scientific_journal-4050	33	9	(	(	PUNCT
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american_scientific_journal-4050	33	11	1	1	NUM
american_scientific_journal-4050	33	12	2	2	NUM
american_scientific_journal-4050	33	13	0	0	NUM
american_scientific_journal-4050	33	14	'	'	PUNCT
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american_scientific_journal-4050	33	19	k	k	X
american_scientific_journal-4050	33	20	l	l	PUNCT
american_scientific_journal-4050	33	21	l	l	X
american_scientific_journal-4050	33	22	l	l	NOUN
american_scientific_journal-4050	33	23	n	n	ADP
american_scientific_journal-4050	33	24	v	v	VERB
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american_scientific_journal-4050	33	26	k	k	PROPN
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american_scientific_journal-4050	33	31	v	v	PROPN
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american_scientific_journal-4050	33	33	vv	vv	ADP
american_scientific_journal-4050	33	34	v	v	X
american_scientific_journal-4050	33	35	j	j	PROPN
american_scientific_journal-4050	33	36	y	y	PROPN
american_scientific_journal-4050	33	37	y	y	PROPN
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american_scientific_journal-4050	35	1	f	f	PROPN
american_scientific_journal-4050	35	2	f	f	PROPN
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american_scientific_journal-4050	35	4	fβ	fβ	VERB
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american_scientific_journal-4050	35	6	λ	λ	X
american_scientific_journal-4050	36	1	+	+	PROPN
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american_scientific_journal-4050	36	3	+	+	PUNCT
american_scientific_journal-4050	36	4	+	+	PUNCT
american_scientific_journal-4050	36	5	+	+	CCONJ
american_scientific_journal-4050	36	6	+	+	CCONJ
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american_scientific_journal-4050	36	9			PUNCT
american_scientific_journal-4050	37	1	=	=	PUNCT
american_scientific_journal-4050	38	1	+	+	PUNCT
american_scientific_journal-4050	39	1	+	+	CCONJ
american_scientific_journal-4050	39	2	+	+	ADJ
american_scientific_journal-4050	39	3			ADJ
american_scientific_journal-4050	39	4			NOUN
american_scientific_journal-4050	39	5			VERB
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american_scientific_journal-4050	39	7			PUNCT
american_scientific_journal-4050	39	8	∑	∑	PUNCT
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american_scientific_journal-4050	39	16	k=	k=	INTJ
american_scientific_journal-4050	40	1	+	+	X
american_scientific_journal-4050	40	2	,	,	PUNCT
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american_scientific_journal-4050	40	13	'	'	PUNCT
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american_scientific_journal-4050	40	20	j	j	PROPN
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american_scientific_journal-4050	40	26	kk	kk	PROPN
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american_scientific_journal-4050	42	3	fα	fα	ADP
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american_scientific_journal-4050	42	5	λ−	λ−	PROPN
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american_scientific_journal-4050	45	11	2p	2p	NUM
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american_scientific_journal-4050	45	14	for	for	ADP
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american_scientific_journal-4050	45	17	=	=	SYM
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american_scientific_journal-4050	46	2	this	this	DET
american_scientific_journal-4050	46	3	method	method	NOUN
american_scientific_journal-4050	46	4	(	(	PUNCT
american_scientific_journal-4050	46	5	1.4	1.4	NUM
american_scientific_journal-4050	46	6	)	)	PUNCT
american_scientific_journal-4050	46	7	seeks	seek	VERB
american_scientific_journal-4050	46	8	to	to	PART
american_scientific_journal-4050	46	9	approximate	approximate	VERB
american_scientific_journal-4050	46	10	the	the	DET
american_scientific_journal-4050	46	11	solution	solution	NOUN
american_scientific_journal-4050	46	12	of	of	ADP
american_scientific_journal-4050	46	13	(	(	PUNCT
american_scientific_journal-4050	46	14	1.2	1.2	NUM
american_scientific_journal-4050	46	15	)	)	PUNCT
american_scientific_journal-4050	46	16	.	.	PUNCT
american_scientific_journal-4050	47	1	the	the	DET
american_scientific_journal-4050	47	2	idea	idea	NOUN
american_scientific_journal-4050	47	3	is	be	AUX
american_scientific_journal-4050	47	4	to	to	PART
american_scientific_journal-4050	47	5	approximate	approximate	VERB
american_scientific_journal-4050	47	6	(	(	PUNCT
american_scientific_journal-4050	47	7	1.2	1.2	NUM
american_scientific_journal-4050	47	8	)	)	PUNCT
american_scientific_journal-4050	47	9	through	through	ADP
american_scientific_journal-4050	47	10	the	the	DET
american_scientific_journal-4050	47	11	integration	integration	NOUN
american_scientific_journal-4050	47	12	interval	interval	NOUN
american_scientific_journal-4050	47	13	[	[	PUNCT
american_scientific_journal-4050	47	14	]	]	X
american_scientific_journal-4050	47	15	0	0	NUM
american_scientific_journal-4050	47	16	,	,	PUNCT
american_scientific_journal-4050	47	17	xnx	xnx	X
american_scientific_journal-4050	48	1	where	where	SCONJ
american_scientific_journal-4050	48	2	(	(	PUNCT
american_scientific_journal-4050	48	3	)	)	PUNCT
american_scientific_journal-4050	48	4	:	:	PUNCT
american_scientific_journal-4050	48	5	y	y	NOUN
american_scientific_journal-4050	48	6	x	x	PUNCT
american_scientific_journal-4050	48	7	[	[	PUNCT
american_scientific_journal-4050	48	8	]	]	X
american_scientific_journal-4050	48	9	0	0	NUM
american_scientific_journal-4050	48	10	,	,	PUNCT
american_scientific_journal-4050	48	11	xnx	xnx	PROPN
american_scientific_journal-4050	48	12	mℜ→	mℜ→	PROPN
american_scientific_journal-4050	48	13	in	in	ADP
american_scientific_journal-4050	48	14	which	which	PRON
american_scientific_journal-4050	48	15	[	[	PUNCT
american_scientific_journal-4050	48	16	]	]	X
american_scientific_journal-4050	48	17	0	0	NUM
american_scientific_journal-4050	48	18	:	:	PUNCT
american_scientific_journal-4050	48	19	,	,	PUNCT
american_scientific_journal-4050	48	20	x	x	PUNCT
american_scientific_journal-4050	48	21	m	m	VERB
american_scientific_journal-4050	48	22	nf	nf	ADJ
american_scientific_journal-4050	48	23	x	x	SYM
american_scientific_journal-4050	48	24	×	×	PROPN
american_scientific_journal-4050	48	25	ℜ	ℜ	PROPN
american_scientific_journal-4050	48	26	is	be	AUX
american_scientific_journal-4050	48	27	smooth	smooth	ADJ
american_scientific_journal-4050	48	28	.	.	PUNCT
american_scientific_journal-4050	49	1	2	2	X
american_scientific_journal-4050	49	2	.	.	X
american_scientific_journal-4050	49	3	specification	specification	NOUN
american_scientific_journal-4050	49	4	of	of	ADP
american_scientific_journal-4050	49	5	the	the	DET
american_scientific_journal-4050	49	6	hybrid	hybrid	ADJ
american_scientific_journal-4050	49	7	methods	method	NOUN
american_scientific_journal-4050	49	8	(	(	PUNCT
american_scientific_journal-4050	49	9	1.4	1.4	NUM
american_scientific_journal-4050	49	10	)	)	PUNCT
american_scientific_journal-4050	49	11	the	the	DET
american_scientific_journal-4050	49	12	hybrid	hybrid	ADJ
american_scientific_journal-4050	49	13	methods	method	NOUN
american_scientific_journal-4050	49	14	(	(	PUNCT
american_scientific_journal-4050	49	15	1.4	1.4	NUM
american_scientific_journal-4050	49	16	)	)	PUNCT
american_scientific_journal-4050	49	17	with	with	ADP
american_scientific_journal-4050	49	18	the	the	DET
american_scientific_journal-4050	49	19	hybrid	hybrid	ADJ
american_scientific_journal-4050	49	20	predictors	predictor	NOUN
american_scientific_journal-4050	49	21	(	(	PUNCT
american_scientific_journal-4050	49	22	1.5	1.5	NUM
american_scientific_journal-4050	49	23	)	)	PUNCT
american_scientific_journal-4050	49	24	and	and	CCONJ
american_scientific_journal-4050	49	25	(	(	PUNCT
american_scientific_journal-4050	49	26	1.6	1.6	NUM
american_scientific_journal-4050	49	27	)	)	PUNCT
american_scientific_journal-4050	49	28	have	have	VERB
american_scientific_journal-4050	49	29	constant	constant	ADJ
american_scientific_journal-4050	49	30	parameters	parameter	NOUN
american_scientific_journal-4050	49	31	american	american	PROPN
american_scientific_journal-4050	49	32	scientific	scientific	ADJ
american_scientific_journal-4050	49	33	research	research	NOUN
american_scientific_journal-4050	49	34	journal	journal	NOUN
american_scientific_journal-4050	49	35	for	for	ADP
american_scientific_journal-4050	49	36	engineering	engineering	NOUN
american_scientific_journal-4050	49	37	,	,	PUNCT
american_scientific_journal-4050	49	38	technology	technology	NOUN
american_scientific_journal-4050	49	39	,	,	PUNCT
american_scientific_journal-4050	49	40	and	and	CCONJ
american_scientific_journal-4050	49	41	sciences	science	NOUN
american_scientific_journal-4050	49	42	(	(	PUNCT
american_scientific_journal-4050	49	43	asrjets	asrjet	NOUN
american_scientific_journal-4050	49	44	)	)	PUNCT
american_scientific_journal-4050	49	45	(	(	PUNCT
american_scientific_journal-4050	49	46	2018	2018	NUM
american_scientific_journal-4050	49	47	)	)	PUNCT
american_scientific_journal-4050	49	48	volume	volume	NOUN
american_scientific_journal-4050	49	49	42	42	NUM
american_scientific_journal-4050	49	50	,	,	PUNCT
american_scientific_journal-4050	49	51	no	no	DET
american_scientific_journal-4050	49	52	1	1	NUM
american_scientific_journal-4050	49	53	,	,	PUNCT
american_scientific_journal-4050	49	54	pp	pp	ADV
american_scientific_journal-4050	49	55	297	297	NUM
american_scientific_journal-4050	49	56	-	-	SYM
american_scientific_journal-4050	49	57	308	308	NUM
american_scientific_journal-4050	49	58	299	299	NUM
american_scientific_journal-4050	49	59	(	(	PUNCT
american_scientific_journal-4050	49	60	)	)	PUNCT
american_scientific_journal-4050	49	61	{	{	PUNCT
american_scientific_journal-4050	49	62	}	}	PUNCT
american_scientific_journal-4050	49	63	0	0	NUM
american_scientific_journal-4050	49	64	km	km	PROPN
american_scientific_journal-4050	49	65	j	j	PROPN
american_scientific_journal-4050	50	1	j	j	PROPN
american_scientific_journal-4050	50	2	β	β	PROPN
american_scientific_journal-4050	50	3	=	=	X
american_scientific_journal-4050	50	4	,	,	PUNCT
american_scientific_journal-4050	50	5	(	(	PUNCT
american_scientific_journal-4050	50	6	)	)	PUNCT
american_scientific_journal-4050	50	7	m	m	VERB
american_scientific_journal-4050	50	8	m	m	VERB
american_scientific_journal-4050	50	9	vβ	vβ	INTJ
american_scientific_journal-4050	50	10	,	,	PUNCT
american_scientific_journal-4050	50	11	(	(	PUNCT
american_scientific_journal-4050	50	12	)	)	PUNCT
american_scientific_journal-4050	50	13	m	m	VERB
american_scientific_journal-4050	50	14	kλ	kλ	NOUN
american_scientific_journal-4050	50	15	,	,	PUNCT
american_scientific_journal-4050	50	16	(	(	PUNCT
american_scientific_journal-4050	50	17	)	)	PUNCT
american_scientific_journal-4050	50	18	{	{	PUNCT
american_scientific_journal-4050	50	19	}	}	PUNCT
american_scientific_journal-4050	50	20	0	0	NUM
american_scientific_journal-4050	51	1	kl	kl	PROPN
american_scientific_journal-4050	51	2	j	j	PROPN
american_scientific_journal-4050	51	3	j	j	PROPN
american_scientific_journal-4050	51	4	β	β	PROPN
american_scientific_journal-4050	51	5	=	=	X
american_scientific_journal-4050	51	6	,	,	PUNCT
american_scientific_journal-4050	51	7	(	(	PUNCT
american_scientific_journal-4050	51	8	)	)	PUNCT
american_scientific_journal-4050	51	9	l	l	NOUN
american_scientific_journal-4050	51	10	l	l	NOUN
american_scientific_journal-4050	51	11	vβ	vβ	X
american_scientific_journal-4050	51	12	,	,	PUNCT
american_scientific_journal-4050	51	13	(	(	PUNCT
american_scientific_journal-4050	51	14	)	)	PUNCT
american_scientific_journal-4050	51	15	l	l	NOUN
american_scientific_journal-4050	51	16	l	l	NOUN
american_scientific_journal-4050	51	17	vλ	vλ	INTJ
american_scientific_journal-4050	51	18	,	,	PUNCT
american_scientific_journal-4050	51	19	(	(	PUNCT
american_scientific_journal-4050	51	20	)	)	PUNCT
american_scientific_journal-4050	51	21	{	{	PUNCT
american_scientific_journal-4050	51	22	}	}	PUNCT
american_scientific_journal-4050	51	23	0	0	NUM
american_scientific_journal-4050	52	1	kl	kl	PROPN
american_scientific_journal-4050	52	2	j	j	PROPN
american_scientific_journal-4050	52	3	j	j	PROPN
american_scientific_journal-4050	52	4	λ	λ	PROPN
american_scientific_journal-4050	52	5	−	−	PROPN
american_scientific_journal-4050	52	6	=	=	SYM
american_scientific_journal-4050	52	7	,	,	PUNCT
american_scientific_journal-4050	52	8	(	(	PUNCT
american_scientific_journal-4050	52	9	)	)	PUNCT
american_scientific_journal-4050	52	10	l	l	NOUN
american_scientific_journal-4050	53	1	kβ	kβ	NOUN
american_scientific_journal-4050	53	2	−	−	PROPN
american_scientific_journal-4050	53	3	and	and	CCONJ
american_scientific_journal-4050	53	4	(	(	PUNCT
american_scientific_journal-4050	53	5	)	)	PUNCT
american_scientific_journal-4050	53	6	l	l	NOUN
american_scientific_journal-4050	53	7	kλ	kλ	NOUN
american_scientific_journal-4050	53	8	−	−	PROPN
american_scientific_journal-4050	53	9	to	to	PART
american_scientific_journal-4050	53	10	be	be	AUX
american_scientific_journal-4050	53	11	determined	determine	VERB
american_scientific_journal-4050	53	12	in	in	ADP
american_scientific_journal-4050	53	13	such	such	DET
american_scientific_journal-4050	53	14	a	a	DET
american_scientific_journal-4050	53	15	way	way	NOUN
american_scientific_journal-4050	53	16	that	that	PRON
american_scientific_journal-4050	53	17	the	the	DET
american_scientific_journal-4050	53	18	hybrid	hybrid	NOUN
american_scientific_journal-4050	53	19	method	method	NOUN
american_scientific_journal-4050	53	20	(	(	PUNCT
american_scientific_journal-4050	53	21	1.4	1.4	NUM
american_scientific_journal-4050	53	22	)	)	PUNCT
american_scientific_journal-4050	53	23	become	become	VERB
american_scientific_journal-4050	53	24	stable	stable	ADJ
american_scientific_journal-4050	53	25	.	.	PUNCT
american_scientific_journal-4050	54	1	the	the	DET
american_scientific_journal-4050	54	2	method	method	NOUN
american_scientific_journal-4050	54	3	(	(	PUNCT
american_scientific_journal-4050	54	4	1.4	1.4	NUM
american_scientific_journal-4050	54	5	)	)	PUNCT
american_scientific_journal-4050	54	6	is	be	AUX
american_scientific_journal-4050	54	7	the	the	DET
american_scientific_journal-4050	54	8	hybrid	hybrid	ADJ
american_scientific_journal-4050	54	9	method	method	NOUN
american_scientific_journal-4050	54	10	of	of	ADP
american_scientific_journal-4050	54	11	adams	adams	NOUN
american_scientific_journal-4050	54	12	-	-	PUNCT
american_scientific_journal-4050	54	13	type	type	NOUN
american_scientific_journal-4050	54	14	equipped	equip	VERB
american_scientific_journal-4050	54	15	with	with	ADP
american_scientific_journal-4050	54	16	nested	nested	ADJ
american_scientific_journal-4050	54	17	functions	function	NOUN
american_scientific_journal-4050	54	18	evaluation	evaluation	NOUN
american_scientific_journal-4050	54	19	of	of	ADP
american_scientific_journal-4050	54	20	the	the	DET
american_scientific_journal-4050	54	21	hybrid	hybrid	ADJ
american_scientific_journal-4050	54	22	predictors	predictor	NOUN
american_scientific_journal-4050	54	23	(	(	PUNCT
american_scientific_journal-4050	54	24	1.5	1.5	NUM
american_scientific_journal-4050	54	25	)	)	PUNCT
american_scientific_journal-4050	54	26	and	and	CCONJ
american_scientific_journal-4050	54	27	(	(	PUNCT
american_scientific_journal-4050	54	28	1.6	1.6	NUM
american_scientific_journal-4050	54	29	)	)	PUNCT
american_scientific_journal-4050	54	30	.	.	PUNCT
american_scientific_journal-4050	55	1	the	the	DET
american_scientific_journal-4050	55	2	hybrid	hybrid	ADJ
american_scientific_journal-4050	55	3	parameters	parameter	NOUN
american_scientific_journal-4050	55	4	are	be	AUX
american_scientific_journal-4050	55	5	chosen	choose	VERB
american_scientific_journal-4050	55	6	according	accord	VERB
american_scientific_journal-4050	55	7	as	as	ADP
american_scientific_journal-4050	55	8	1	1	NUM
american_scientific_journal-4050	55	9	2mv	2mv	NOUN
american_scientific_journal-4050	55	10	k=	k=	NOUN
american_scientific_journal-4050	56	1	−	−	NOUN
american_scientific_journal-4050	56	2	,	,	PUNCT
american_scientific_journal-4050	56	3	1	1	NUM
american_scientific_journal-4050	56	4	2	2	NUM
american_scientific_journal-4050	56	5	l	l	NOUN
american_scientific_journal-4050	56	6	l	l	NOUN
american_scientific_journal-4050	56	7	v	v	X
american_scientific_journal-4050	56	8	kv	kv	NOUN
american_scientific_journal-4050	57	1	+	+	CCONJ
american_scientific_journal-4050	58	1	+	+	CCONJ
american_scientific_journal-4050	58	2	=	=	SYM
american_scientific_journal-4050	58	3	,	,	PUNCT
american_scientific_journal-4050	58	4	0(1)m	0(1)m	NUM
american_scientific_journal-4050	58	5	1,l	1,l	X
american_scientific_journal-4050	58	6	=	=	SYM
american_scientific_journal-4050	58	7	−	−	PROPN
american_scientific_journal-4050	58	8	(	(	PUNCT
american_scientific_journal-4050	58	9	)	)	PUNCT
american_scientific_journal-4050	58	10	0,lv	0,lv	NOUN
american_scientific_journal-4050	59	1	k∈	k∈	INTJ
american_scientific_journal-4050	59	2	,	,	PUNCT
american_scientific_journal-4050	59	3	,	,	PUNCT
american_scientific_journal-4050	59	4	lv	lv	PROPN
american_scientific_journal-4050	59	5	j≠	j≠	PROPN
american_scientific_journal-4050	59	6	0(1)kj	0(1)kj	PROPN
american_scientific_journal-4050	59	7	=	=	X
american_scientific_journal-4050	59	8	,	,	PUNCT
american_scientific_journal-4050	59	9	1,2,3,	1,2,3,	NUM
american_scientific_journal-4050	59	10	...	...	PUNCT
american_scientific_journal-4050	60	1	k	k	X
american_scientific_journal-4050	60	2	=	=	PUNCT
american_scientific_journal-4050	60	3	,	,	PUNCT
american_scientific_journal-4050	60	4	1	1	NUM
american_scientific_journal-4050	60	5	m	m	NOUN
american_scientific_journal-4050	60	6	k=	k=	NOUN
american_scientific_journal-4050	61	1	−	−	ADP
american_scientific_journal-4050	61	2	2.1	2.1	NUM
american_scientific_journal-4050	61	3	construction	construction	NOUN
american_scientific_journal-4050	61	4	of	of	ADP
american_scientific_journal-4050	61	5	the	the	DET
american_scientific_journal-4050	61	6	hybrid	hybrid	ADJ
american_scientific_journal-4050	61	7	methods	method	NOUN
american_scientific_journal-4050	61	8	(	(	PUNCT
american_scientific_journal-4050	61	9	1.4	1.4	NUM
american_scientific_journal-4050	61	10	)	)	PUNCT
american_scientific_journal-4050	61	11	we	we	PRON
american_scientific_journal-4050	61	12	assume	assume	VERB
american_scientific_journal-4050	61	13	the	the	DET
american_scientific_journal-4050	61	14	solution	solution	NOUN
american_scientific_journal-4050	61	15	of	of	ADP
american_scientific_journal-4050	61	16	(	(	PUNCT
american_scientific_journal-4050	61	17	1.4	1.4	NUM
american_scientific_journal-4050	61	18	)	)	PUNCT
american_scientific_journal-4050	61	19	of	of	ADP
american_scientific_journal-4050	61	20	the	the	DET
american_scientific_journal-4050	61	21	form	form	NOUN
american_scientific_journal-4050	61	22	3	3	NUM
american_scientific_journal-4050	61	23	0	0	NUM
american_scientific_journal-4050	61	24	(	(	PUNCT
american_scientific_journal-4050	61	25	x	x	X
american_scientific_journal-4050	61	26	)	)	PUNCT
american_scientific_journal-4050	61	27	k	k	PROPN
american_scientific_journal-4050	62	1	j	j	PROPN
american_scientific_journal-4050	62	2	j	j	PROPN
american_scientific_journal-4050	62	3	j	j	PROPN
american_scientific_journal-4050	62	4	y	y	PROPN
american_scientific_journal-4050	62	5	a	a	X
american_scientific_journal-4050	62	6	x	x	X
american_scientific_journal-4050	63	1	+	+	PUNCT
american_scientific_journal-4050	63	2	=	=	SYM
american_scientific_journal-4050	63	3	=	=	SYM
american_scientific_journal-4050	63	4	∑	∑	PUNCT
american_scientific_journal-4050	63	5	(	(	PUNCT
american_scientific_journal-4050	63	6	2.1	2.1	NUM
american_scientific_journal-4050	63	7	)	)	PUNCT
american_scientific_journal-4050	63	8	where	where	SCONJ
american_scientific_journal-4050	63	9	{	{	PUNCT
american_scientific_journal-4050	63	10	}	}	PUNCT
american_scientific_journal-4050	63	11	3	3	NUM
american_scientific_journal-4050	63	12	0	0	NUM
american_scientific_journal-4050	63	13	k	k	PROPN
american_scientific_journal-4050	63	14	j	j	PROPN
american_scientific_journal-4050	64	1	j	j	PROPN
american_scientific_journal-4050	65	1	a	a	PROPN
american_scientific_journal-4050	66	1	+	+	X
american_scientific_journal-4050	66	2	=	=	NOUN
american_scientific_journal-4050	66	3	are	be	AUX
american_scientific_journal-4050	66	4	real	real	ADJ
american_scientific_journal-4050	66	5	constant	constant	ADJ
american_scientific_journal-4050	66	6	parameters	parameter	NOUN
american_scientific_journal-4050	66	7	to	to	PART
american_scientific_journal-4050	66	8	be	be	AUX
american_scientific_journal-4050	66	9	determined	determine	VERB
american_scientific_journal-4050	66	10	and	and	CCONJ
american_scientific_journal-4050	66	11	(	(	PUNCT
american_scientific_journal-4050	66	12	)	)	PUNCT
american_scientific_journal-4050	66	13	,	,	PUNCT
american_scientific_journal-4050	66	14	(	(	PUNCT
american_scientific_journal-4050	66	15	1)k	1)k	NUM
american_scientific_journal-4050	66	16	3jx	3jx	NOUN
american_scientific_journal-4050	67	1	j	j	X
american_scientific_journal-4050	67	2	o	o	X
american_scientific_journal-4050	67	3	=	=	PUNCT
american_scientific_journal-4050	68	1	+	+	CCONJ
american_scientific_journal-4050	68	2	is	be	AUX
american_scientific_journal-4050	68	3	the	the	DET
american_scientific_journal-4050	68	4	polynomial	polynomial	ADJ
american_scientific_journal-4050	68	5	basis	basis	NOUN
american_scientific_journal-4050	68	6	function	function	NOUN
american_scientific_journal-4050	68	7	.	.	PUNCT
american_scientific_journal-4050	69	1	differentiating	differentiate	VERB
american_scientific_journal-4050	69	2	(	(	PUNCT
american_scientific_journal-4050	69	3	2.1	2.1	NUM
american_scientific_journal-4050	69	4	)	)	PUNCT
american_scientific_journal-4050	69	5	twice	twice	ADV
american_scientific_journal-4050	69	6	to	to	PART
american_scientific_journal-4050	69	7	obtain	obtain	VERB
american_scientific_journal-4050	69	8	(	(	PUNCT
american_scientific_journal-4050	69	9	)	)	PUNCT
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american_scientific_journal-4050	105	6			PROPN
american_scientific_journal-4050	105	7			ADJ
american_scientific_journal-4050	105	8			PROPN
american_scientific_journal-4050	105	9			NOUN
american_scientific_journal-4050	105	10			PROPN
american_scientific_journal-4050	105	11			NOUN
american_scientific_journal-4050	105	12			PROPN
american_scientific_journal-4050	105	13			NOUN
american_scientific_journal-4050	105	14			PROPN
american_scientific_journal-4050	105	15			NOUN
american_scientific_journal-4050	105	16			PROPN
american_scientific_journal-4050	105	17			NOUN
american_scientific_journal-4050	105	18			PROPN
american_scientific_journal-4050	105	19			NOUN
american_scientific_journal-4050	105	20			PROPN
american_scientific_journal-4050	105	21			NOUN
american_scientific_journal-4050	105	22			PROPN
american_scientific_journal-4050	105	23			NOUN
american_scientific_journal-4050	105	24			PROPN
american_scientific_journal-4050	105	25			NOUN
american_scientific_journal-4050	105	26			PROPN
american_scientific_journal-4050	105	27			NOUN
american_scientific_journal-4050	105	28			PROPN
american_scientific_journal-4050	105	29			NOUN
american_scientific_journal-4050	105	30			PROPN
american_scientific_journal-4050	105	31			ADJ
american_scientific_journal-4050	105	32			ADJ
american_scientific_journal-4050	105	33			NOUN
american_scientific_journal-4050	105	34	(	(	PUNCT
american_scientific_journal-4050	105	35	2.4	2.4	NUM
american_scientific_journal-4050	105	36	)	)	PUNCT
american_scientific_journal-4050	105	37	solving	solve	VERB
american_scientific_journal-4050	105	38	equation	equation	NOUN
american_scientific_journal-4050	105	39	(	(	PUNCT
american_scientific_journal-4050	105	40	2.4	2.4	NUM
american_scientific_journal-4050	105	41	)	)	PUNCT
american_scientific_journal-4050	105	42	with	with	ADP
american_scientific_journal-4050	105	43	mathematica	mathematica	PROPN
american_scientific_journal-4050	105	44	10.0	10.0	NUM
american_scientific_journal-4050	105	45	software	software	NOUN
american_scientific_journal-4050	105	46	package	package	NOUN
american_scientific_journal-4050	105	47	,	,	PUNCT
american_scientific_journal-4050	105	48	the	the	DET
american_scientific_journal-4050	105	49	coefficients	coefficient	NOUN
american_scientific_journal-4050	105	50	american	american	PROPN
american_scientific_journal-4050	105	51	scientific	scientific	ADJ
american_scientific_journal-4050	105	52	research	research	NOUN
american_scientific_journal-4050	105	53	journal	journal	NOUN
american_scientific_journal-4050	105	54	for	for	ADP
american_scientific_journal-4050	105	55	engineering	engineering	NOUN
american_scientific_journal-4050	105	56	,	,	PUNCT
american_scientific_journal-4050	105	57	technology	technology	NOUN
american_scientific_journal-4050	105	58	,	,	PUNCT
american_scientific_journal-4050	105	59	and	and	CCONJ
american_scientific_journal-4050	105	60	sciences	science	NOUN
american_scientific_journal-4050	105	61	(	(	PUNCT
american_scientific_journal-4050	105	62	asrjets	asrjet	NOUN
american_scientific_journal-4050	105	63	)	)	PUNCT
american_scientific_journal-4050	105	64	(	(	PUNCT
american_scientific_journal-4050	105	65	2018	2018	NUM
american_scientific_journal-4050	105	66	)	)	PUNCT
american_scientific_journal-4050	105	67	volume	volume	NOUN
american_scientific_journal-4050	105	68	42	42	NUM
american_scientific_journal-4050	105	69	,	,	PUNCT
american_scientific_journal-4050	105	70	no	no	DET
american_scientific_journal-4050	105	71	1	1	NUM
american_scientific_journal-4050	105	72	,	,	PUNCT
american_scientific_journal-4050	105	73	pp	pp	ADV
american_scientific_journal-4050	105	74	297	297	NUM
american_scientific_journal-4050	105	75	-	-	SYM
american_scientific_journal-4050	105	76	308	308	NUM
american_scientific_journal-4050	105	77	300	300	NUM
american_scientific_journal-4050	105	78	(	(	PUNCT
american_scientific_journal-4050	105	79	)	)	PUNCT
american_scientific_journal-4050	105	80	(	(	PUNCT
american_scientific_journal-4050	105	81	)	)	PUNCT
american_scientific_journal-4050	105	82	'	'	PART
american_scientific_journal-4050	105	83	0	0	NUM
american_scientific_journal-4050	105	84	1	1	NUM
american_scientific_journal-4050	105	85	3ja	3ja	NOUN
american_scientific_journal-4050	105	86	s	s	PART
american_scientific_journal-4050	105	87	j	j	NOUN
american_scientific_journal-4050	105	88	k=	k=	X
american_scientific_journal-4050	106	1	+	+	CCONJ
american_scientific_journal-4050	106	2	are	be	AUX
american_scientific_journal-4050	106	3	obtained	obtain	VERB
american_scientific_journal-4050	106	4	.	.	PUNCT
american_scientific_journal-4050	107	1	substituting	substitute	VERB
american_scientific_journal-4050	107	2	these	these	DET
american_scientific_journal-4050	107	3	coefficients	coefficient	NOUN
american_scientific_journal-4050	107	4	into	into	ADP
american_scientific_journal-4050	107	5	(	(	PUNCT
american_scientific_journal-4050	107	6	2.1	2.1	NUM
american_scientific_journal-4050	107	7	)	)	PUNCT
american_scientific_journal-4050	107	8	yields	yield	VERB
american_scientific_journal-4050	107	9	the	the	DET
american_scientific_journal-4050	107	10	discrete	discrete	ADJ
american_scientific_journal-4050	107	11	scheme	scheme	NOUN
american_scientific_journal-4050	107	12	for	for	ADP
american_scientific_journal-4050	107	13	each	each	DET
american_scientific_journal-4050	107	14	k	k	NOUN
american_scientific_journal-4050	107	15	.	.	PUNCT
american_scientific_journal-4050	108	1	3	3	X
american_scientific_journal-4050	108	2	.	.	X
american_scientific_journal-4050	108	3	construction	construction	NOUN
american_scientific_journal-4050	108	4	of	of	ADP
american_scientific_journal-4050	108	5	the	the	DET
american_scientific_journal-4050	108	6	hybrid	hybrid	ADJ
american_scientific_journal-4050	108	7	predictors	predictor	NOUN
american_scientific_journal-4050	108	8	the	the	DET
american_scientific_journal-4050	108	9	corresponding	corresponding	ADJ
american_scientific_journal-4050	108	10	hybrid	hybrid	ADJ
american_scientific_journal-4050	108	11	predictor	predictor	NOUN
american_scientific_journal-4050	108	12	is	be	AUX
american_scientific_journal-4050	108	13	obtained	obtain	VERB
american_scientific_journal-4050	108	14	from	from	ADP
american_scientific_journal-4050	108	15	the	the	DET
american_scientific_journal-4050	108	16	polynomial	polynomial	ADJ
american_scientific_journal-4050	108	17	interpolant	interpolant	NOUN
american_scientific_journal-4050	108	18	(	(	PUNCT
american_scientific_journal-4050	108	19	)	)	PUNCT
american_scientific_journal-4050	108	20	4	4	NUM
american_scientific_journal-4050	108	21	1	1	NUM
american_scientific_journal-4050	108	22	0	0	NUM
american_scientific_journal-4050	108	23	k	k	PROPN
american_scientific_journal-4050	108	24	j	j	PROPN
american_scientific_journal-4050	108	25	n	n	NUM
american_scientific_journal-4050	108	26	l	l	PROPN
american_scientific_journal-4050	108	27	j	j	PROPN
american_scientific_journal-4050	108	28	j	j	PROPN
american_scientific_journal-4050	108	29	y	y	PROPN
american_scientific_journal-4050	108	30	x	x	PROPN
american_scientific_journal-4050	108	31	v	v	PROPN
american_scientific_journal-4050	108	32	h	h	NOUN
american_scientific_journal-4050	108	33	b	b	NOUN
american_scientific_journal-4050	109	1	x	x	X
american_scientific_journal-4050	110	1	+	+	PUNCT
american_scientific_journal-4050	110	2	+	+	PUNCT
american_scientific_journal-4050	110	3	=	=	SYM
american_scientific_journal-4050	110	4	+	+	NUM
american_scientific_journal-4050	110	5	=	=	SYM
american_scientific_journal-4050	110	6	∑	∑	PUNCT
american_scientific_journal-4050	110	7	(	(	PUNCT
american_scientific_journal-4050	110	8	3.1	3.1	NUM
american_scientific_journal-4050	110	9	)	)	PUNCT
american_scientific_journal-4050	110	10	where	where	SCONJ
american_scientific_journal-4050	110	11	{	{	PUNCT
american_scientific_journal-4050	110	12	}	}	PUNCT
american_scientific_journal-4050	110	13	4k	4k	NUM
american_scientific_journal-4050	110	14	j	j	PROPN
american_scientific_journal-4050	110	15	j	j	NOUN
american_scientific_journal-4050	110	16	o	o	X
american_scientific_journal-4050	110	17	b	b	PROPN
american_scientific_journal-4050	110	18	+	+	CCONJ
american_scientific_journal-4050	110	19	=	=	NOUN
american_scientific_journal-4050	110	20	are	be	AUX
american_scientific_journal-4050	110	21	parameter	parameter	NOUN
american_scientific_journal-4050	110	22	constants	constant	NOUN
american_scientific_journal-4050	110	23	to	to	PART
american_scientific_journal-4050	110	24	be	be	AUX
american_scientific_journal-4050	110	25	determined	determine	VERB
american_scientific_journal-4050	110	26	,	,	PUNCT
american_scientific_journal-4050	110	27	{	{	PUNCT
american_scientific_journal-4050	110	28	}	}	PUNCT
american_scientific_journal-4050	110	29	4	4	NUM
american_scientific_journal-4050	110	30	0	0	NUM
american_scientific_journal-4050	110	31	kj	kj	PROPN
american_scientific_journal-4050	110	32	j	j	PROPN
american_scientific_journal-4050	110	33	x	x	PUNCT
american_scientific_journal-4050	111	1	+	+	CCONJ
american_scientific_journal-4050	111	2	=	=	PUNCT
american_scientific_journal-4050	111	3	is	be	AUX
american_scientific_journal-4050	111	4	the	the	DET
american_scientific_journal-4050	111	5	polynomial	polynomial	ADJ
american_scientific_journal-4050	111	6	basis	basis	NOUN
american_scientific_journal-4050	111	7	function	function	NOUN
american_scientific_journal-4050	111	8	.	.	PUNCT
american_scientific_journal-4050	112	1	following	follow	VERB
american_scientific_journal-4050	112	2	the	the	DET
american_scientific_journal-4050	112	3	approach	approach	NOUN
american_scientific_journal-4050	112	4	as	as	ADP
american_scientific_journal-4050	112	5	in	in	ADP
american_scientific_journal-4050	112	6	section	section	NOUN
american_scientific_journal-4050	112	7	(	(	PUNCT
american_scientific_journal-4050	112	8	3	3	NUM
american_scientific_journal-4050	112	9	)	)	PUNCT
american_scientific_journal-4050	112	10	,	,	PUNCT
american_scientific_journal-4050	112	11	we	we	PRON
american_scientific_journal-4050	112	12	obtain	obtain	VERB
american_scientific_journal-4050	112	13	the	the	DET
american_scientific_journal-4050	112	14	system	system	NOUN
american_scientific_journal-4050	112	15	of	of	ADP
american_scientific_journal-4050	112	16	equations	equation	NOUN
american_scientific_journal-4050	112	17	(	(	PUNCT
american_scientific_journal-4050	112	18	)	)	PUNCT
american_scientific_journal-4050	112	19	(	(	PUNCT
american_scientific_journal-4050	112	20	)	)	PUNCT
american_scientific_journal-4050	112	21	(	(	PUNCT
american_scientific_journal-4050	112	22	)	)	PUNCT
american_scientific_journal-4050	112	23	2	2	NUM
american_scientific_journal-4050	112	24	3	3	NUM
american_scientific_journal-4050	112	25	4	4	NUM
american_scientific_journal-4050	112	26	2	2	NUM
american_scientific_journal-4050	112	27	2	2	NUM
american_scientific_journal-4050	112	28	1	1	NUM
american_scientific_journal-4050	112	29	1	1	NUM
american_scientific_journal-4050	112	30	2	2	NUM
american_scientific_journal-4050	112	31	1	1	NUM
american_scientific_journal-4050	112	32	1	1	NUM
american_scientific_journal-4050	112	33	.	.	PUNCT
american_scientific_journal-4050	112	34	.	.	PUNCT
american_scientific_journal-4050	113	1	.	.	PUNCT
american_scientific_journal-4050	114	1	0	0	NUM
american_scientific_journal-4050	114	2	1	1	NUM
american_scientific_journal-4050	114	3	2	2	NUM
american_scientific_journal-4050	114	4	.	.	PUNCT
american_scientific_journal-4050	114	5	.	.	PUNCT
american_scientific_journal-4050	114	6	.	.	PUNCT
american_scientific_journal-4050	115	1	3	3	NUM
american_scientific_journal-4050	115	2	0	0	NUM
american_scientific_journal-4050	115	3	1	1	NUM
american_scientific_journal-4050	115	4	2	2	NUM
american_scientific_journal-4050	115	5	.	.	PUNCT
american_scientific_journal-4050	115	6	.	.	PUNCT
american_scientific_journal-4050	115	7	.	.	PUNCT
american_scientific_journal-4050	116	1	3	3	X
american_scientific_journal-4050	116	2	.	.	PUNCT
american_scientific_journal-4050	116	3	.	.	PUNCT
american_scientific_journal-4050	116	4	.	.	PUNCT
american_scientific_journal-4050	116	5	.	.	PUNCT
american_scientific_journal-4050	116	6	.	.	PUNCT
american_scientific_journal-4050	116	7	.	.	PUNCT
american_scientific_journal-4050	116	8	.	.	PUNCT
american_scientific_journal-4050	116	9	.	.	PUNCT
american_scientific_journal-4050	116	10	.	.	PUNCT
american_scientific_journal-4050	116	11	.	.	PUNCT
american_scientific_journal-4050	116	12	.	.	PUNCT
american_scientific_journal-4050	116	13	.	.	PUNCT
american_scientific_journal-4050	116	14	.	.	PUNCT
american_scientific_journal-4050	116	15	.	.	PUNCT
american_scientific_journal-4050	117	1	.	.	PUNCT
american_scientific_journal-4050	118	1	0	0	NUM
american_scientific_journal-4050	118	2	0	0	NUM
american_scientific_journal-4050	118	3	2	2	NUM
american_scientific_journal-4050	118	4	.	.	PUNCT
american_scientific_journal-4050	118	5	.	.	PUNCT
american_scientific_journal-4050	118	6	.	.	PUNCT
american_scientific_journal-4050	119	1	3	3	NUM
american_scientific_journal-4050	119	2	0	0	NUM
american_scientific_journal-4050	119	3	0	0	NUM
american_scientific_journal-4050	119	4	2	2	NUM
american_scientific_journal-4050	119	5	.	.	PUNCT
american_scientific_journal-4050	119	6	.	.	PUNCT
american_scientific_journal-4050	119	7	.	.	PUNCT
american_scientific_journal-4050	120	1	20	20	NUM
american_scientific_journal-4050	120	2	2	2	NUM
american_scientific_journal-4050	120	3	k	k	NOUN
american_scientific_journal-4050	120	4	n	n	CCONJ
american_scientific_journal-4050	120	5	k	k	PROPN
american_scientific_journal-4050	120	6	n	n	CCONJ
american_scientific_journal-4050	120	7	n	n	PROPN
american_scientific_journal-4050	120	8	k	k	PROPN
american_scientific_journal-4050	120	9	k	k	PROPN
american_scientific_journal-4050	120	10	n	n	CCONJ
american_scientific_journal-4050	120	11	n	n	CCONJ
american_scientific_journal-4050	120	12	k	k	PROPN
american_scientific_journal-4050	120	13	n	n	CCONJ
american_scientific_journal-4050	120	14	n	n	CCONJ
american_scientific_journal-4050	120	15	k	k	PROPN
american_scientific_journal-4050	120	16	n	n	ADV
american_scientific_journal-4050	120	17	v	v	PROPN
american_scientific_journal-4050	120	18	n	n	CCONJ
american_scientific_journal-4050	120	19	v	v	NOUN
american_scientific_journal-4050	120	20	k	k	PROPN
american_scientific_journal-4050	120	21	n	n	CCONJ
american_scientific_journal-4050	120	22	v	v	NOUN
american_scientific_journal-4050	120	23	x	x	SYM
american_scientific_journal-4050	120	24	x	x	PUNCT
american_scientific_journal-4050	120	25	x	x	PUNCT
american_scientific_journal-4050	120	26	x	x	SYM
american_scientific_journal-4050	120	27	k	k	NOUN
american_scientific_journal-4050	120	28	x	x	X
american_scientific_journal-4050	120	29	k	k	NOUN
american_scientific_journal-4050	120	30	x	x	PUNCT
american_scientific_journal-4050	120	31	x	x	PUNCT
american_scientific_journal-4050	120	32	k	k	NOUN
american_scientific_journal-4050	120	33	x	x	X
american_scientific_journal-4050	120	34	k	k	NOUN
american_scientific_journal-4050	120	35	x	x	PUNCT
american_scientific_journal-4050	121	1	+	+	PUNCT
american_scientific_journal-4050	121	2	+	+	PUNCT
american_scientific_journal-4050	121	3	+	+	PUNCT
american_scientific_journal-4050	121	4	+	+	PUNCT
american_scientific_journal-4050	121	5	+	+	PUNCT
american_scientific_journal-4050	121	6	+	+	PUNCT
american_scientific_journal-4050	121	7	+	+	PUNCT
american_scientific_journal-4050	121	8	+	+	PUNCT
american_scientific_journal-4050	121	9	+	+	PUNCT
american_scientific_journal-4050	121	10	+	+	PUNCT
american_scientific_journal-4050	121	11	+	+	PUNCT
american_scientific_journal-4050	121	12	+	+	CCONJ
american_scientific_journal-4050	121	13	+	+	NUM
american_scientific_journal-4050	121	14			NOUN
american_scientific_journal-4050	121	15			PROPN
american_scientific_journal-4050	121	16			ADJ
american_scientific_journal-4050	121	17			PROPN
american_scientific_journal-4050	121	18			NOUN
american_scientific_journal-4050	121	19	+	+	NOUN
american_scientific_journal-4050	122	1			X
american_scientific_journal-4050	123	1			PROPN
american_scientific_journal-4050	123	2	+	+	NOUN
american_scientific_journal-4050	123	3			ADJ
american_scientific_journal-4050	123	4			PROPN
american_scientific_journal-4050	123	5			NOUN
american_scientific_journal-4050	123	6			PROPN
american_scientific_journal-4050	123	7			NOUN
american_scientific_journal-4050	123	8			PROPN
american_scientific_journal-4050	123	9			NOUN
american_scientific_journal-4050	123	10			PROPN
american_scientific_journal-4050	123	11			NOUN
american_scientific_journal-4050	123	12			PROPN
american_scientific_journal-4050	123	13			NOUN
american_scientific_journal-4050	123	14			PROPN
american_scientific_journal-4050	123	15			NOUN
american_scientific_journal-4050	123	16	+	+	ADV
american_scientific_journal-4050	123	17			PROPN
american_scientific_journal-4050	123	18			ADJ
american_scientific_journal-4050	123	19	+	+	PROPN
american_scientific_journal-4050	123	20			PROPN
american_scientific_journal-4050	123	21	0	0	NUM
american_scientific_journal-4050	123	22	1	1	NUM
american_scientific_journal-4050	123	23	2	2	NUM
american_scientific_journal-4050	123	24	2	2	NUM
american_scientific_journal-4050	123	25	3	3	NUM
american_scientific_journal-4050	123	26	.	.	PUNCT
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american_scientific_journal-4050	124	1	k	k	PROPN
american_scientific_journal-4050	125	1	k	k	PROPN
american_scientific_journal-4050	125	2	a	a	DET
american_scientific_journal-4050	125	3	a	a	DET
american_scientific_journal-4050	125	4	a	a	DET
american_scientific_journal-4050	125	5	a	a	DET
american_scientific_journal-4050	125	6	a	a	DET
american_scientific_journal-4050	125	7	+	+	ADJ
american_scientific_journal-4050	125	8	+	+	NUM
american_scientific_journal-4050	125	9			NOUN
american_scientific_journal-4050	125	10			PROPN
american_scientific_journal-4050	125	11			ADJ
american_scientific_journal-4050	125	12			PROPN
american_scientific_journal-4050	125	13			NOUN
american_scientific_journal-4050	125	14			PROPN
american_scientific_journal-4050	125	15			NOUN
american_scientific_journal-4050	125	16			PROPN
american_scientific_journal-4050	125	17			NOUN
american_scientific_journal-4050	125	18			PROPN
american_scientific_journal-4050	125	19			NOUN
american_scientific_journal-4050	125	20			PROPN
american_scientific_journal-4050	125	21			NOUN
american_scientific_journal-4050	125	22			PROPN
american_scientific_journal-4050	125	23			NOUN
american_scientific_journal-4050	125	24			PROPN
american_scientific_journal-4050	125	25			NOUN
american_scientific_journal-4050	125	26			PROPN
american_scientific_journal-4050	125	27			NOUN
american_scientific_journal-4050	125	28			PROPN
american_scientific_journal-4050	125	29			NOUN
american_scientific_journal-4050	125	30			PROPN
american_scientific_journal-4050	125	31			ADJ
american_scientific_journal-4050	125	32			ADJ
american_scientific_journal-4050	125	33			PROPN
american_scientific_journal-4050	125	34	=	=	SYM
american_scientific_journal-4050	125	35	1	1	NUM
american_scientific_journal-4050	125	36	.	.	PUNCT
american_scientific_journal-4050	125	37	.	.	PUNCT
american_scientific_journal-4050	125	38	.	.	PUNCT
american_scientific_journal-4050	125	39	'	'	PUNCT
american_scientific_journal-4050	126	1	n	n	CCONJ
american_scientific_journal-4050	126	2	k	k	PROPN
american_scientific_journal-4050	126	3	n	n	CCONJ
american_scientific_journal-4050	126	4	n	n	CCONJ
american_scientific_journal-4050	126	5	n	n	ADV
american_scientific_journal-4050	126	6	v	v	NOUN
american_scientific_journal-4050	126	7	n	n	NUM
american_scientific_journal-4050	126	8	v	v	NOUN
american_scientific_journal-4050	126	9	y	y	PROPN
american_scientific_journal-4050	127	1	f	f	PROPN
american_scientific_journal-4050	127	2	f	f	X
american_scientific_journal-4050	127	3	f	f	PROPN
american_scientific_journal-4050	127	4	f	f	PROPN
american_scientific_journal-4050	128	1	+	+	CCONJ
american_scientific_journal-4050	128	2	+	+	PUNCT
american_scientific_journal-4050	128	3	+	+	CCONJ
american_scientific_journal-4050	128	4	+	+	NUM
american_scientific_journal-4050	128	5			NOUN
american_scientific_journal-4050	128	6			PROPN
american_scientific_journal-4050	128	7			ADJ
american_scientific_journal-4050	128	8			PROPN
american_scientific_journal-4050	128	9			NOUN
american_scientific_journal-4050	128	10			PROPN
american_scientific_journal-4050	128	11			NOUN
american_scientific_journal-4050	128	12			PROPN
american_scientific_journal-4050	128	13			NOUN
american_scientific_journal-4050	128	14			PROPN
american_scientific_journal-4050	128	15			NOUN
american_scientific_journal-4050	128	16			PROPN
american_scientific_journal-4050	128	17			NOUN
american_scientific_journal-4050	128	18			PROPN
american_scientific_journal-4050	128	19			NOUN
american_scientific_journal-4050	128	20			PROPN
american_scientific_journal-4050	128	21			NOUN
american_scientific_journal-4050	128	22			PROPN
american_scientific_journal-4050	128	23			NOUN
american_scientific_journal-4050	128	24			PROPN
american_scientific_journal-4050	128	25			NOUN
american_scientific_journal-4050	128	26			PROPN
american_scientific_journal-4050	128	27			ADJ
american_scientific_journal-4050	128	28			ADJ
american_scientific_journal-4050	128	29			NOUN
american_scientific_journal-4050	128	30	(	(	PUNCT
american_scientific_journal-4050	128	31	3.2	3.2	NUM
american_scientific_journal-4050	128	32	)	)	PUNCT
american_scientific_journal-4050	128	33	equation	equation	NOUN
american_scientific_journal-4050	128	34	(	(	PUNCT
american_scientific_journal-4050	128	35	3.2	3.2	NUM
american_scientific_journal-4050	128	36	)	)	PUNCT
american_scientific_journal-4050	128	37	is	be	AUX
american_scientific_journal-4050	128	38	solved	solve	VERB
american_scientific_journal-4050	128	39	with	with	ADP
american_scientific_journal-4050	128	40	mathematica	mathematica	PROPN
american_scientific_journal-4050	128	41	10.0	10.0	NUM
american_scientific_journal-4050	128	42	software	software	NOUN
american_scientific_journal-4050	128	43	package	package	NOUN
american_scientific_journal-4050	128	44	to	to	PART
american_scientific_journal-4050	128	45	obtain	obtain	VERB
american_scientific_journal-4050	128	46	the	the	DET
american_scientific_journal-4050	128	47	coefficients	coefficient	NOUN
american_scientific_journal-4050	128	48	of	of	ADP
american_scientific_journal-4050	128	49	the	the	DET
american_scientific_journal-4050	128	50	hybrid	hybrid	ADJ
american_scientific_journal-4050	128	51	predictor	predictor	NOUN
american_scientific_journal-4050	128	52	(	(	PUNCT
american_scientific_journal-4050	128	53	1.5	1.5	NUM
american_scientific_journal-4050	128	54	)	)	PUNCT
american_scientific_journal-4050	128	55	the	the	DET
american_scientific_journal-4050	128	56	corresponding	correspond	VERB
american_scientific_journal-4050	128	57	error	error	NOUN
american_scientific_journal-4050	128	58	constants	constant	NOUN
american_scientific_journal-4050	128	59	for	for	ADP
american_scientific_journal-4050	128	60	the	the	DET
american_scientific_journal-4050	128	61	hybrid	hybrid	ADJ
american_scientific_journal-4050	128	62	scheme	scheme	NOUN
american_scientific_journal-4050	128	63	and	and	CCONJ
american_scientific_journal-4050	128	64	its	its	PRON
american_scientific_journal-4050	128	65	hybrid	hybrid	ADJ
american_scientific_journal-4050	128	66	predictors	predictor	NOUN
american_scientific_journal-4050	128	67	are	be	AUX
american_scientific_journal-4050	128	68	obtained	obtain	VERB
american_scientific_journal-4050	128	69	for	for	ADP
american_scientific_journal-4050	128	70	each	each	DET
american_scientific_journal-4050	128	71	value	value	NOUN
american_scientific_journal-4050	128	72	of	of	ADP
american_scientific_journal-4050	128	73	k	k	PROPN
american_scientific_journal-4050	128	74	from	from	ADP
american_scientific_journal-4050	128	75	the	the	DET
american_scientific_journal-4050	128	76	taylor	taylor	PROPN
american_scientific_journal-4050	128	77	series	series	PROPN
american_scientific_journal-4050	128	78	expansion	expansion	PROPN
american_scientific_journal-4050	128	79	of	of	ADP
american_scientific_journal-4050	128	80	(	(	PUNCT
american_scientific_journal-4050	128	81	1.4	1.4	NUM
american_scientific_journal-4050	128	82	)	)	PUNCT
american_scientific_journal-4050	128	83	,	,	PUNCT
american_scientific_journal-4050	128	84	(	(	PUNCT
american_scientific_journal-4050	128	85	1.5	1.5	NUM
american_scientific_journal-4050	128	86	)	)	PUNCT
american_scientific_journal-4050	128	87	and	and	CCONJ
american_scientific_journal-4050	128	88	(	(	PUNCT
american_scientific_journal-4050	128	89	1.6	1.6	NUM
american_scientific_journal-4050	128	90	)	)	PUNCT
american_scientific_journal-4050	128	91	about	about	ADP
american_scientific_journal-4050	128	92	nx	nx	PROPN
american_scientific_journal-4050	128	93	.	.	PUNCT
american_scientific_journal-4050	129	1	these	these	PRON
american_scientific_journal-4050	129	2	are	be	AUX
american_scientific_journal-4050	129	3	respectively	respectively	ADV
american_scientific_journal-4050	129	4	(	(	PUNCT
american_scientific_journal-4050	129	5	)	)	PUNCT
american_scientific_journal-4050	129	6	(	(	PUNCT
american_scientific_journal-4050	129	7	)	)	PUNCT
american_scientific_journal-4050	129	8	(	(	PUNCT
american_scientific_journal-4050	129	9	)	)	SYM
american_scientific_journal-4050	129	10	1	1	NUM
american_scientific_journal-4050	129	11	1	1	NUM
american_scientific_journal-4050	129	12	2	2	NUM
american_scientific_journal-4050	129	13	1	1	NUM
american_scientific_journal-4050	129	14	0p	0p	NUM
american_scientific_journal-4050	129	15	p	p	X
american_scientific_journal-4050	129	16	p	p	PROPN
american_scientific_journal-4050	129	17	n	n	CCONJ
american_scientific_journal-4050	129	18	k	k	PROPN
american_scientific_journal-4050	129	19	n	n	CCONJ
american_scientific_journal-4050	129	20	k	k	PROPN
american_scientific_journal-4050	129	21	p	p	X
american_scientific_journal-4050	129	22	ny	ny	PROPN
american_scientific_journal-4050	129	23	y	y	PROPN
american_scientific_journal-4050	129	24	x	x	PROPN
american_scientific_journal-4050	130	1	c	c	NOUN
american_scientific_journal-4050	130	2	h	h	NOUN
american_scientific_journal-4050	130	3	y	y	NOUN
american_scientific_journal-4050	130	4	x	x	X
american_scientific_journal-4050	130	5	h+	h+	X
american_scientific_journal-4050	131	1	+	+	PUNCT
american_scientific_journal-4050	132	1	+	+	PUNCT
american_scientific_journal-4050	132	2	+	+	PUNCT
american_scientific_journal-4050	132	3	+	+	PUNCT
american_scientific_journal-4050	132	4	+	+	ADJ
american_scientific_journal-4050	132	5	−	−	NOUN
american_scientific_journal-4050	132	6	=	=	SYM
american_scientific_journal-4050	132	7	+	+	CCONJ
american_scientific_journal-4050	132	8	(	(	PUNCT
american_scientific_journal-4050	132	9	3.3	3.3	NUM
american_scientific_journal-4050	132	10	)	)	PUNCT
american_scientific_journal-4050	132	11	(	(	PUNCT
american_scientific_journal-4050	132	12	)	)	PUNCT
american_scientific_journal-4050	132	13	(	(	PUNCT
american_scientific_journal-4050	132	14	)	)	PUNCT
american_scientific_journal-4050	132	15	(	(	PUNCT
american_scientific_journal-4050	132	16	)	)	PUNCT
american_scientific_journal-4050	132	17	*	*	PUNCT
american_scientific_journal-4050	133	1	*	*	PUNCT
american_scientific_journal-4050	133	2	*	*	PUNCT
american_scientific_journal-4050	133	3	*	*	PUNCT
american_scientific_journal-4050	133	4	1	1	NUM
american_scientific_journal-4050	133	5	1	1	NUM
american_scientific_journal-4050	133	6	1	1	NUM
american_scientific_journal-4050	133	7	1	1	NUM
american_scientific_journal-4050	133	8	2	2	NUM
american_scientific_journal-4050	133	9	1	1	NUM
american_scientific_journal-4050	133	10	0	0	NUM
american_scientific_journal-4050	133	11	l	l	NOUN
american_scientific_journal-4050	133	12	l	l	NOUN
american_scientific_journal-4050	133	13	p	p	X
american_scientific_journal-4050	133	14	p	p	X
american_scientific_journal-4050	133	15	p	p	PROPN
american_scientific_journal-4050	133	16	n	n	INTJ
american_scientific_journal-4050	133	17	v	v	NOUN
american_scientific_journal-4050	133	18	n	n	NUM
american_scientific_journal-4050	133	19	v	v	INTJ
american_scientific_journal-4050	133	20	npy	npy	PROPN
american_scientific_journal-4050	133	21	y	y	PROPN
american_scientific_journal-4050	134	1	x	x	PUNCT
american_scientific_journal-4050	134	2	c	c	NOUN
american_scientific_journal-4050	134	3	h	h	NOUN
american_scientific_journal-4050	134	4	y	y	NOUN
american_scientific_journal-4050	134	5	x	x	PUNCT
american_scientific_journal-4050	134	6	h	h	NOUN
american_scientific_journal-4050	135	1	+	+	X
american_scientific_journal-4050	136	1	+	+	PUNCT
american_scientific_journal-4050	137	1	+	+	PUNCT
american_scientific_journal-4050	137	2	+	+	PUNCT
american_scientific_journal-4050	137	3	+	+	PUNCT
american_scientific_journal-4050	137	4	+	+	PUNCT
american_scientific_journal-4050	137	5	+	+	PUNCT
american_scientific_journal-4050	137	6	+	+	ADJ
american_scientific_journal-4050	137	7	−	−	NOUN
american_scientific_journal-4050	137	8	=	=	SYM
american_scientific_journal-4050	137	9	+	+	CCONJ
american_scientific_journal-4050	137	10	(	(	PUNCT
american_scientific_journal-4050	137	11	3.4	3.4	NUM
american_scientific_journal-4050	137	12	)	)	PUNCT
american_scientific_journal-4050	137	13	(	(	PUNCT
american_scientific_journal-4050	137	14	)	)	PUNCT
american_scientific_journal-4050	137	15	(	(	PUNCT
american_scientific_journal-4050	137	16	)	)	PUNCT
american_scientific_journal-4050	137	17	*	*	PUNCT
american_scientific_journal-4050	138	1	*	*	PUNCT
american_scientific_journal-4050	139	1	*	*	PUNCT
american_scientific_journal-4050	139	2	*	*	PUNCT
american_scientific_journal-4050	140	1	*	*	PUNCT
american_scientific_journal-4050	140	2	*	*	PUNCT
american_scientific_journal-4050	140	3	0	0	NUM
american_scientific_journal-4050	140	4	0	0	NUM
american_scientific_journal-4050	140	5	1	1	NUM
american_scientific_journal-4050	140	6	2	2	NUM
american_scientific_journal-4050	140	7	1	1	NUM
american_scientific_journal-4050	140	8	(	(	PUNCT
american_scientific_journal-4050	140	9	x	x	SYM
american_scientific_journal-4050	140	10	)	)	PUNCT
american_scientific_journal-4050	140	11	0p	0p	PROPN
american_scientific_journal-4050	140	12	p	p	NOUN
american_scientific_journal-4050	140	13	n	n	PROPN
american_scientific_journal-4050	140	14	v	v	NOUN
american_scientific_journal-4050	140	15	n	n	NUM
american_scientific_journal-4050	140	16	v	v	INTJ
american_scientific_journal-4050	140	17	npy	npy	PROPN
american_scientific_journal-4050	140	18	y	y	PROPN
american_scientific_journal-4050	140	19	x	x	PUNCT
american_scientific_journal-4050	140	20	c	c	NOUN
american_scientific_journal-4050	140	21	h	h	NOUN
american_scientific_journal-4050	140	22	h+	h+	X
american_scientific_journal-4050	141	1	+	+	PUNCT
american_scientific_journal-4050	141	2	+	+	PUNCT
american_scientific_journal-4050	142	1	+	+	PUNCT
american_scientific_journal-4050	142	2	+	+	ADJ
american_scientific_journal-4050	142	3	−	−	NOUN
american_scientific_journal-4050	142	4	=	=	SYM
american_scientific_journal-4050	142	5	+	+	CCONJ
american_scientific_journal-4050	142	6	(	(	PUNCT
american_scientific_journal-4050	142	7	3.5	3.5	NUM
american_scientific_journal-4050	142	8	)	)	PUNCT
american_scientific_journal-4050	143	1	where	where	SCONJ
american_scientific_journal-4050	143	2	(	(	PUNCT
american_scientific_journal-4050	143	3	)	)	PUNCT
american_scientific_journal-4050	143	4	n	n	X
american_scientific_journal-4050	143	5	ky	ky	NOUN
american_scientific_journal-4050	143	6	x	x	X
american_scientific_journal-4050	143	7	+	+	CCONJ
american_scientific_journal-4050	143	8	,	,	PUNCT
american_scientific_journal-4050	143	9	(	(	PUNCT
american_scientific_journal-4050	143	10	)	)	PUNCT
american_scientific_journal-4050	143	11	1ln	1ln	NOUN
american_scientific_journal-4050	143	12	vy	vy	NOUN
american_scientific_journal-4050	143	13	x	x	PUNCT
american_scientific_journal-4050	144	1	+	+	PROPN
american_scientific_journal-4050	144	2	+	+	NUM
american_scientific_journal-4050	144	3	and	and	CCONJ
american_scientific_journal-4050	144	4	(	(	PUNCT
american_scientific_journal-4050	144	5	)	)	PUNCT
american_scientific_journal-4050	144	6	0n	0n	NOUN
american_scientific_journal-4050	144	7	vy	vy	NOUN
american_scientific_journal-4050	144	8	x	x	X
american_scientific_journal-4050	144	9	+	+	PRON
american_scientific_journal-4050	144	10	are	be	AUX
american_scientific_journal-4050	144	11	the	the	DET
american_scientific_journal-4050	144	12	theoretical	theoretical	ADJ
american_scientific_journal-4050	144	13	solutions	solution	NOUN
american_scientific_journal-4050	144	14	;	;	PUNCT
american_scientific_journal-4050	144	15	1pc	1pc	ADJ
american_scientific_journal-4050	144	16	+	+	X
american_scientific_journal-4050	144	17	,	,	PUNCT
american_scientific_journal-4050	144	18	*	*	PUNCT
american_scientific_journal-4050	144	19	1pc	1pc	ADJ
american_scientific_journal-4050	144	20	+	+	PUNCT
american_scientific_journal-4050	144	21	and	and	CCONJ
american_scientific_journal-4050	144	22	*	*	PUNCT
american_scientific_journal-4050	144	23	*	*	PUNCT
american_scientific_journal-4050	144	24	1pc	1pc	ADJ
american_scientific_journal-4050	144	25	+	+	PUNCT
american_scientific_journal-4050	144	26	are	be	AUX
american_scientific_journal-4050	144	27	error	error	NOUN
american_scientific_journal-4050	144	28	american	american	ADJ
american_scientific_journal-4050	144	29	scientific	scientific	ADJ
american_scientific_journal-4050	144	30	research	research	NOUN
american_scientific_journal-4050	144	31	journal	journal	NOUN
american_scientific_journal-4050	144	32	for	for	ADP
american_scientific_journal-4050	144	33	engineering	engineering	NOUN
american_scientific_journal-4050	144	34	,	,	PUNCT
american_scientific_journal-4050	144	35	technology	technology	NOUN
american_scientific_journal-4050	144	36	,	,	PUNCT
american_scientific_journal-4050	144	37	and	and	CCONJ
american_scientific_journal-4050	144	38	sciences	science	NOUN
american_scientific_journal-4050	144	39	(	(	PUNCT
american_scientific_journal-4050	144	40	asrjets	asrjet	NOUN
american_scientific_journal-4050	144	41	)	)	PUNCT
american_scientific_journal-4050	144	42	(	(	PUNCT
american_scientific_journal-4050	144	43	2018	2018	NUM
american_scientific_journal-4050	144	44	)	)	PUNCT
american_scientific_journal-4050	144	45	volume	volume	NOUN
american_scientific_journal-4050	144	46	42	42	NUM
american_scientific_journal-4050	144	47	,	,	PUNCT
american_scientific_journal-4050	144	48	no	no	DET
american_scientific_journal-4050	144	49	1	1	NUM
american_scientific_journal-4050	144	50	,	,	PUNCT
american_scientific_journal-4050	144	51	pp	pp	ADV
american_scientific_journal-4050	144	52	297	297	NUM
american_scientific_journal-4050	144	53	-	-	SYM
american_scientific_journal-4050	144	54	308	308	NUM
american_scientific_journal-4050	144	55	301	301	NUM
american_scientific_journal-4050	144	56	constants	constant	NOUN
american_scientific_journal-4050	144	57	of	of	ADP
american_scientific_journal-4050	144	58	(	(	PUNCT
american_scientific_journal-4050	144	59	1.4	1.4	NUM
american_scientific_journal-4050	144	60	)	)	PUNCT
american_scientific_journal-4050	144	61	,	,	PUNCT
american_scientific_journal-4050	144	62	(	(	PUNCT
american_scientific_journal-4050	144	63	1.5	1.5	NUM
american_scientific_journal-4050	144	64	)	)	PUNCT
american_scientific_journal-4050	144	65	and	and	CCONJ
american_scientific_journal-4050	144	66	(	(	PUNCT
american_scientific_journal-4050	144	67	1.6	1.6	NUM
american_scientific_journal-4050	144	68	)	)	PUNCT
american_scientific_journal-4050	144	69	respectively	respectively	ADV
american_scientific_journal-4050	144	70	.	.	PUNCT
american_scientific_journal-4050	145	1	due	due	ADP
american_scientific_journal-4050	145	2	to	to	ADP
american_scientific_journal-4050	145	3	the	the	DET
american_scientific_journal-4050	145	4	processing	processing	NOUN
american_scientific_journal-4050	145	5	speed	speed	NOUN
american_scientific_journal-4050	145	6	and	and	CCONJ
american_scientific_journal-4050	145	7	the	the	DET
american_scientific_journal-4050	145	8	memory	memory	NOUN
american_scientific_journal-4050	145	9	capacity	capacity	NOUN
american_scientific_journal-4050	145	10	of	of	ADP
american_scientific_journal-4050	145	11	the	the	DET
american_scientific_journal-4050	145	12	laptop	laptop	NOUN
american_scientific_journal-4050	145	13	computer	computer	NOUN
american_scientific_journal-4050	145	14	used	use	VERB
american_scientific_journal-4050	145	15	in	in	ADP
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american_scientific_journal-4050	152	11	1	1	NUM
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american_scientific_journal-4050	168	34	f	f	PROPN
american_scientific_journal-4050	168	35	h	h	NOUN
american_scientific_journal-4050	168	36	f+	f+	PROPN
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american_scientific_journal-4050	170	5	+	+	NUM
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american_scientific_journal-4050	170	7			INTJ
american_scientific_journal-4050	170	8			PROPN
american_scientific_journal-4050	170	9	=	=	PROPN
american_scientific_journal-4050	170	10	+	+	CCONJ
american_scientific_journal-4050	170	11	−	−	PROPN
american_scientific_journal-4050	171	1	+	+	CCONJ
american_scientific_journal-4050	171	2	+	+	PUNCT
american_scientific_journal-4050	171	3	+	+	CCONJ
american_scientific_journal-4050	171	4	−	−	NOUN
american_scientific_journal-4050	171	5			NOUN
american_scientific_journal-4050	171	6			VERB
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american_scientific_journal-4050	171	8			PUNCT
american_scientific_journal-4050	171	9	,	,	PUNCT
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american_scientific_journal-4050	171	11	13	13	NUM
american_scientific_journal-4050	171	12	604800	604800	NUM
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american_scientific_journal-4050	171	14	=	=	PUNCT
american_scientific_journal-4050	171	15	−	−	PROPN
american_scientific_journal-4050	171	16	american	american	ADJ
american_scientific_journal-4050	171	17	scientific	scientific	ADJ
american_scientific_journal-4050	171	18	research	research	NOUN
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american_scientific_journal-4050	171	20	for	for	ADP
american_scientific_journal-4050	171	21	engineering	engineering	NOUN
american_scientific_journal-4050	171	22	,	,	PUNCT
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american_scientific_journal-4050	171	24	,	,	PUNCT
american_scientific_journal-4050	171	25	and	and	CCONJ
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american_scientific_journal-4050	171	27	(	(	PUNCT
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american_scientific_journal-4050	171	30	(	(	PUNCT
american_scientific_journal-4050	171	31	2018	2018	NUM
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american_scientific_journal-4050	171	34	42	42	NUM
american_scientific_journal-4050	171	35	,	,	PUNCT
american_scientific_journal-4050	171	36	no	no	DET
american_scientific_journal-4050	171	37	1	1	NUM
american_scientific_journal-4050	171	38	,	,	PUNCT
american_scientific_journal-4050	171	39	pp	pp	ADV
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american_scientific_journal-4050	171	41	-	-	SYM
american_scientific_journal-4050	171	42	308	308	NUM
american_scientific_journal-4050	171	43	302	302	NUM
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american_scientific_journal-4050	171	45	hybrids	hybrid	NOUN
american_scientific_journal-4050	171	46	2	2	NUM
american_scientific_journal-4050	171	47	1	1	NUM
american_scientific_journal-4050	171	48	0	0	NUM
american_scientific_journal-4050	171	49	5	5	NUM
american_scientific_journal-4050	171	50	11	11	NUM
american_scientific_journal-4050	171	51	23	23	NUM
american_scientific_journal-4050	171	52	,	,	PUNCT
american_scientific_journal-4050	171	53	v	v	NUM
american_scientific_journal-4050	171	54	,	,	PUNCT
american_scientific_journal-4050	171	55	v	v	NOUN
american_scientific_journal-4050	171	56	2	2	NUM
american_scientific_journal-4050	171	57	4	4	NUM
american_scientific_journal-4050	171	58	8	8	NUM
american_scientific_journal-4050	171	59	v	v	NOUN
american_scientific_journal-4050	171	60	=	=	SYM
american_scientific_journal-4050	171	61	=	=	SYM
american_scientific_journal-4050	171	62	=	=	SYM
american_scientific_journal-4050	171	63	21	21	NUM
american_scientific_journal-4050	171	64	2	2	NUM
american_scientific_journal-4050	171	65	5	5	NUM
american_scientific_journal-4050	171	66	11	11	NUM
american_scientific_journal-4050	171	67	3	3	NUM
american_scientific_journal-4050	171	68	3	3	NUM
american_scientific_journal-4050	171	69	11	11	NUM
american_scientific_journal-4050	171	70	2	2	NUM
american_scientific_journal-4050	171	71	4	4	NUM
american_scientific_journal-4050	171	72	4	4	NUM
american_scientific_journal-4050	171	73	13	13	NUM
american_scientific_journal-4050	171	74	3	3	NUM
american_scientific_journal-4050	171	75	167	167	NUM
american_scientific_journal-4050	171	76	44048	44048	NUM
american_scientific_journal-4050	171	77	203	203	NUM
american_scientific_journal-4050	171	78	2	2	NUM
american_scientific_journal-4050	171	79	'	'	PART
american_scientific_journal-4050	171	80	232320	232320	NUM
american_scientific_journal-4050	171	81	4480	4480	NUM
american_scientific_journal-4050	171	82	17280	17280	NUM
american_scientific_journal-4050	171	83	144345	144345	NUM
american_scientific_journal-4050	171	84	1920	1920	NUM
american_scientific_journal-4050	171	85	99	99	NUM
american_scientific_journal-4050	171	86	n	n	CCONJ
american_scientific_journal-4050	171	87	n	n	CCONJ
american_scientific_journal-4050	171	88	n	n	CCONJ
american_scientific_journal-4050	171	89	n	n	CCONJ
american_scientific_journal-4050	171	90	nn	nn	PROPN
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american_scientific_journal-4050	171	92	n	n	PROPN
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american_scientific_journal-4050	172	1	f	f	PROPN
american_scientific_journal-4050	173	1	fy	fy	PROPN
american_scientific_journal-4050	174	1	h	h	PROPN
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american_scientific_journal-4050	175	2	f	f	PROPN
american_scientific_journal-4050	175	3	y	y	PROPN
american_scientific_journal-4050	175	4	h	h	PROPN
american_scientific_journal-4050	175	5	f+	f+	PROPN
american_scientific_journal-4050	176	1	+	+	X
american_scientific_journal-4050	177	1	+	+	PUNCT
american_scientific_journal-4050	177	2	+	+	PUNCT
american_scientific_journal-4050	177	3	+	+	PUNCT
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american_scientific_journal-4050	177	5	+	+	NUM
american_scientific_journal-4050	177	6			PROPN
american_scientific_journal-4050	177	7			INTJ
american_scientific_journal-4050	177	8			NOUN
american_scientific_journal-4050	177	9	=	=	PROPN
american_scientific_journal-4050	177	10	−	−	PROPN
american_scientific_journal-4050	178	1	+	+	CCONJ
american_scientific_journal-4050	178	2	−	−	PROPN
american_scientific_journal-4050	178	3	−	−	NUM
american_scientific_journal-4050	179	1	−	−	PROPN
american_scientific_journal-4050	180	1	+	+	CCONJ
american_scientific_journal-4050	180	2	+	+	CCONJ
american_scientific_journal-4050	180	3			NOUN
american_scientific_journal-4050	180	4			VERB
american_scientific_journal-4050	180	5			NOUN
american_scientific_journal-4050	180	6			PUNCT
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american_scientific_journal-4050	180	8	1	1	NUM
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american_scientific_journal-4050	180	10	c	c	NOUN
american_scientific_journal-4050	180	11	=	=	SYM
american_scientific_journal-4050	180	12	2	2	NUM
american_scientific_journal-4050	180	13	1	1	NUM
american_scientific_journal-4050	180	14	2	2	NUM
american_scientific_journal-4050	180	15	1	1	NUM
american_scientific_journal-4050	180	16	11	11	NUM
american_scientific_journal-4050	180	17	23	23	NUM
american_scientific_journal-4050	180	18	3	3	NUM
american_scientific_journal-4050	180	19	23	23	NUM
american_scientific_journal-4050	180	20	4	4	NUM
american_scientific_journal-4050	180	21	8	8	NUM
american_scientific_journal-4050	180	22	8	8	NUM
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american_scientific_journal-4050	180	25	269	269	NUM
american_scientific_journal-4050	180	26	40716032868	40716032868	NUM
american_scientific_journal-4050	180	27	286	286	NUM
american_scientific_journal-4050	180	28	'	'	NUM
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american_scientific_journal-4050	180	35	n	n	CCONJ
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american_scientific_journal-4050	184	10	−	−	PROPN
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american_scientific_journal-4050	187	26	'	'	PART
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american_scientific_journal-4050	187	33	n	n	CCONJ
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american_scientific_journal-4050	187	39	n	n	ADV
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american_scientific_journal-4050	187	41	y	y	PROPN
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american_scientific_journal-4050	188	1	y	y	INTJ
american_scientific_journal-4050	188	2	h	h	NOUN
american_scientific_journal-4050	188	3	fy	fy	PROPN
american_scientific_journal-4050	189	1	+	+	CCONJ
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american_scientific_journal-4050	191	3	+	+	PUNCT
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american_scientific_journal-4050	191	5	=	=	SYM
american_scientific_journal-4050	191	6	−	−	PROPN
american_scientific_journal-4050	192	1	+	+	CCONJ
american_scientific_journal-4050	192	2	−	−	PROPN
american_scientific_journal-4050	193	1	+	+	CCONJ
american_scientific_journal-4050	194	1	+	+	PUNCT
american_scientific_journal-4050	194	2	+	+	CCONJ
american_scientific_journal-4050	194	3	,	,	PUNCT
american_scientific_journal-4050	194	4	7	7	NUM
american_scientific_journal-4050	194	5	161	161	NUM
american_scientific_journal-4050	194	6	12582912	12582912	NUM
american_scientific_journal-4050	194	7	c	c	NOUN
american_scientific_journal-4050	194	8	=	=	SYM
american_scientific_journal-4050	194	9	4	4	X
american_scientific_journal-4050	194	10	.	.	PUNCT
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american_scientific_journal-4050	195	2	of	of	ADP
american_scientific_journal-4050	195	3	the	the	DET
american_scientific_journal-4050	195	4	hybrid	hybrid	ADJ
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american_scientific_journal-4050	195	6	(	(	PUNCT
american_scientific_journal-4050	195	7	1.4	1.4	NUM
american_scientific_journal-4050	195	8	)	)	PUNCT
american_scientific_journal-4050	195	9	this	this	DET
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american_scientific_journal-4050	195	14	definitions	definition	NOUN
american_scientific_journal-4050	195	15	and	and	CCONJ
american_scientific_journal-4050	195	16	stability	stability	NOUN
american_scientific_journal-4050	195	17	properties	property	NOUN
american_scientific_journal-4050	195	18	of	of	ADP
american_scientific_journal-4050	195	19	the	the	DET
american_scientific_journal-4050	195	20	hybrid	hybrid	ADJ
american_scientific_journal-4050	195	21	schemes	scheme	NOUN
american_scientific_journal-4050	195	22	.	.	PUNCT
american_scientific_journal-4050	196	1	definition	definition	NOUN
american_scientific_journal-4050	196	2	1	1	NUM
american_scientific_journal-4050	196	3	:	:	PUNCT
american_scientific_journal-4050	196	4	a	a	DET
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american_scientific_journal-4050	196	6	scheme	scheme	NOUN
american_scientific_journal-4050	196	7	(	(	PUNCT
american_scientific_journal-4050	196	8	1.4	1.4	NUM
american_scientific_journal-4050	196	9	)	)	PUNCT
american_scientific_journal-4050	196	10	is	be	AUX
american_scientific_journal-4050	196	11	a	a	DET
american_scientific_journal-4050	196	12	−	−	NOUN
american_scientific_journal-4050	196	13	stable	stable	ADJ
american_scientific_journal-4050	196	14	if	if	SCONJ
american_scientific_journal-4050	196	15	the	the	DET
american_scientific_journal-4050	196	16	region	region	NOUN
american_scientific_journal-4050	196	17	of	of	ADP
american_scientific_journal-4050	196	18	absolute	absolute	ADJ
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american_scientific_journal-4050	196	22	in	in	ADP
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american_scientific_journal-4050	196	24	open	open	ADJ
american_scientific_journal-4050	196	25	left	leave	VERB
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american_scientific_journal-4050	196	31	.	.	PUNCT
american_scientific_journal-4050	197	1	definition	definition	NOUN
american_scientific_journal-4050	197	2	2	2	NUM
american_scientific_journal-4050	197	3	:	:	PUNCT
american_scientific_journal-4050	197	4	the	the	DET
american_scientific_journal-4050	197	5	numerical	numerical	ADJ
american_scientific_journal-4050	197	6	scheme	scheme	NOUN
american_scientific_journal-4050	197	7	(	(	PUNCT
american_scientific_journal-4050	197	8	1.4	1.4	NUM
american_scientific_journal-4050	197	9	)	)	PUNCT
american_scientific_journal-4050	197	10	is	be	AUX
american_scientific_journal-4050	197	11	(	(	PUNCT
american_scientific_journal-4050	197	12	)	)	PUNCT
american_scientific_journal-4050	197	13	a	a	DET
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american_scientific_journal-4050	197	15	−	−	NOUN
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american_scientific_journal-4050	197	17	for	for	ADP
american_scientific_journal-4050	197	18	some	some	DET
american_scientific_journal-4050	197	19	0	0	NUM
american_scientific_journal-4050	197	20	,	,	PUNCT
american_scientific_journal-4050	197	21	2	2	NUM
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american_scientific_journal-4050	197	23			NOUN
american_scientific_journal-4050	197	24	∈	∈	NOUN
american_scientific_journal-4050	197	25			ADJ
american_scientific_journal-4050	197	26			ADJ
american_scientific_journal-4050	197	27			NOUN
american_scientific_journal-4050	197	28	,	,	PUNCT
american_scientific_journal-4050	197	29	if	if	SCONJ
american_scientific_journal-4050	197	30	the	the	DET
american_scientific_journal-4050	197	31	wedge	wedge	NOUN
american_scientific_journal-4050	197	32	(	(	PUNCT
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american_scientific_journal-4050	197	34	{	{	PUNCT
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american_scientific_journal-4050	197	36	:|	:|	X
american_scientific_journal-4050	198	1	|	|	ADV
american_scientific_journal-4050	198	2	,	,	PUNCT
american_scientific_journal-4050	198	3	0s	0s	NOUN
american_scientific_journal-4050	198	4	z	z	NOUN
american_scientific_journal-4050	198	5	arg	arg	NOUN
american_scientific_journal-4050	198	6	z	z	PROPN
american_scientific_journal-4050	198	7	zα	zα	PROPN
american_scientific_journal-4050	198	8	<	<	X
american_scientific_journal-4050	198	9	α=	α=	PROPN
american_scientific_journal-4050	198	10	−	−	PROPN
american_scientific_journal-4050	198	11	≠	≠	PROPN
american_scientific_journal-4050	198	12	is	be	AUX
american_scientific_journal-4050	198	13	contained	contain	VERB
american_scientific_journal-4050	198	14	in	in	ADP
american_scientific_journal-4050	198	15	the	the	DET
american_scientific_journal-4050	198	16	region	region	NOUN
american_scientific_journal-4050	198	17	of	of	ADP
american_scientific_journal-4050	198	18	absolute	absolute	ADJ
american_scientific_journal-4050	198	19	stability	stability	NOUN
american_scientific_journal-4050	198	20	.	.	PUNCT
american_scientific_journal-4050	199	1	the	the	DET
american_scientific_journal-4050	199	2	largest	large	ADJ
american_scientific_journal-4050	199	3	maxα	maxα	NOUN
american_scientific_journal-4050	199	4	is	be	AUX
american_scientific_journal-4050	199	5	the	the	DET
american_scientific_journal-4050	199	6	angle	angle	NOUN
american_scientific_journal-4050	199	7	of	of	ADP
american_scientific_journal-4050	199	8	absolute	absolute	ADJ
american_scientific_journal-4050	199	9	stability	stability	NOUN
american_scientific_journal-4050	199	10	.	.	PUNCT
american_scientific_journal-4050	200	1	definition	definition	NOUN
american_scientific_journal-4050	200	2	3	3	NUM
american_scientific_journal-4050	200	3	:	:	PUNCT
american_scientific_journal-4050	200	4	the	the	DET
american_scientific_journal-4050	200	5	numerical	numerical	ADJ
american_scientific_journal-4050	200	6	scheme	scheme	NOUN
american_scientific_journal-4050	200	7	(	(	PUNCT
american_scientific_journal-4050	200	8	1.4	1.4	NUM
american_scientific_journal-4050	200	9	)	)	PUNCT
american_scientific_journal-4050	200	10	is	be	AUX
american_scientific_journal-4050	200	11	stiffly	stiffly	VERB
american_scientific_journal-4050	200	12	stable	stable	ADJ
american_scientific_journal-4050	200	13	if	if	SCONJ
american_scientific_journal-4050	200	14	(	(	PUNCT
american_scientific_journal-4050	200	15	i	i	NOUN
american_scientific_journal-4050	200	16	)	)	PUNCT
american_scientific_journal-4050	200	17	it	it	PRON
american_scientific_journal-4050	200	18	is	be	AUX
american_scientific_journal-4050	200	19	absolutely	absolutely	ADV
american_scientific_journal-4050	200	20	stable	stable	ADJ
american_scientific_journal-4050	200	21	in	in	ADP
american_scientific_journal-4050	200	22	the	the	DET
american_scientific_journal-4050	200	23	region	region	NOUN
american_scientific_journal-4050	200	24	{	{	PUNCT
american_scientific_journal-4050	200	25	}	}	PUNCT
american_scientific_journal-4050	200	26	1	1	NUM
american_scientific_journal-4050	200	27	:|	:|	SYM
american_scientific_journal-4050	200	28	re(z	re(z	NOUN
american_scientific_journal-4050	200	29	)	)	PUNCT
american_scientific_journal-4050	201	1	|	|	ADV
american_scientific_journal-4050	201	2	lr	lr	X
american_scientific_journal-4050	201	3	z	z	PROPN
american_scientific_journal-4050	201	4	d=	d=	NOUN
american_scientific_journal-4050	201	5	≤	≤	PUNCT
american_scientific_journal-4050	201	6	and	and	CCONJ
american_scientific_journal-4050	201	7	(	(	PUNCT
american_scientific_journal-4050	201	8	ii	ii	NOUN
american_scientific_journal-4050	201	9	)	)	PUNCT
american_scientific_journal-4050	201	10	accurate	accurate	ADJ
american_scientific_journal-4050	201	11	in	in	ADP
american_scientific_journal-4050	201	12	the	the	DET
american_scientific_journal-4050	201	13	region	region	NOUN
american_scientific_journal-4050	201	14	(	(	PUNCT
american_scientific_journal-4050	201	15	)	)	PUNCT
american_scientific_journal-4050	201	16	(	(	PUNCT
american_scientific_journal-4050	201	17	)	)	PUNCT
american_scientific_journal-4050	201	18	{	{	PUNCT
american_scientific_journal-4050	201	19	}	}	PUNCT
american_scientific_journal-4050	201	20	2	2	NUM
american_scientific_journal-4050	201	21	1	1	NUM
american_scientific_journal-4050	201	22	:	:	PUNCT
american_scientific_journal-4050	201	23	d	d	X
american_scientific_journal-4050	202	1	|	|	ADV
american_scientific_journal-4050	202	2	re	re	INTJ
american_scientific_journal-4050	202	3	|	|	ADV
american_scientific_journal-4050	202	4	d	d	INTJ
american_scientific_journal-4050	202	5	;	;	PUNCT
american_scientific_journal-4050	203	1	|	|	ADV
american_scientific_journal-4050	203	2	i	i	PRON
american_scientific_journal-4050	203	3	m	m	VERB
american_scientific_journal-4050	203	4	|	|	ADV
american_scientific_journal-4050	203	5	d	d	NOUN
american_scientific_journal-4050	203	6	,	,	PUNCT
american_scientific_journal-4050	203	7	l	l	PROPN
american_scientific_journal-4050	203	8	rr	rr	NOUN
american_scientific_journal-4050	203	9	z	z	NOUN
american_scientific_journal-4050	203	10	z	z	PROPN
american_scientific_journal-4050	204	1	z	z	X
american_scientific_journal-4050	204	2	<	<	X
american_scientific_journal-4050	204	3	<	<	X
american_scientific_journal-4050	204	4	<	<	X
american_scientific_journal-4050	204	5	=	=	SYM
american_scientific_journal-4050	204	6	such	such	ADJ
american_scientific_journal-4050	204	7	american	american	ADJ
american_scientific_journal-4050	204	8	scientific	scientific	ADJ
american_scientific_journal-4050	204	9	research	research	NOUN
american_scientific_journal-4050	204	10	journal	journal	NOUN
american_scientific_journal-4050	204	11	for	for	ADP
american_scientific_journal-4050	204	12	engineering	engineering	NOUN
american_scientific_journal-4050	204	13	,	,	PUNCT
american_scientific_journal-4050	204	14	technology	technology	NOUN
american_scientific_journal-4050	204	15	,	,	PUNCT
american_scientific_journal-4050	204	16	and	and	CCONJ
american_scientific_journal-4050	204	17	sciences	science	NOUN
american_scientific_journal-4050	204	18	(	(	PUNCT
american_scientific_journal-4050	204	19	asrjets	asrjet	NOUN
american_scientific_journal-4050	204	20	)	)	PUNCT
american_scientific_journal-4050	204	21	(	(	PUNCT
american_scientific_journal-4050	204	22	2018	2018	NUM
american_scientific_journal-4050	204	23	)	)	PUNCT
american_scientific_journal-4050	204	24	volume	volume	NOUN
american_scientific_journal-4050	204	25	42	42	NUM
american_scientific_journal-4050	204	26	,	,	PUNCT
american_scientific_journal-4050	204	27	no	no	DET
american_scientific_journal-4050	204	28	1	1	NUM
american_scientific_journal-4050	204	29	,	,	PUNCT
american_scientific_journal-4050	204	30	pp	pp	ADV
american_scientific_journal-4050	204	31	297	297	NUM
american_scientific_journal-4050	204	32	-	-	SYM
american_scientific_journal-4050	204	33	308	308	NUM
american_scientific_journal-4050	204	34	303	303	NUM
american_scientific_journal-4050	204	35	that	that	PRON
american_scientific_journal-4050	204	36	the	the	DET
american_scientific_journal-4050	204	37	stability	stability	NOUN
american_scientific_journal-4050	204	38	region	region	NOUN
american_scientific_journal-4050	204	39	is	be	AUX
american_scientific_journal-4050	204	40	contained	contain	VERB
american_scientific_journal-4050	204	41	in	in	ADP
american_scientific_journal-4050	204	42	the	the	DET
american_scientific_journal-4050	204	43	region	region	NOUN
american_scientific_journal-4050	204	44	1	1	NUM
american_scientific_journal-4050	204	45	2r	2r	NUM
american_scientific_journal-4050	204	46	r∪	r∪	NOUN
american_scientific_journal-4050	204	47	.	.	PUNCT
american_scientific_journal-4050	205	1	the	the	DET
american_scientific_journal-4050	205	2	numerical	numerical	ADJ
american_scientific_journal-4050	205	3	scheme	scheme	NOUN
american_scientific_journal-4050	205	4	is	be	AUX
american_scientific_journal-4050	205	5	zero	zero	NUM
american_scientific_journal-4050	205	6	-	-	PUNCT
american_scientific_journal-4050	205	7	stable	stable	ADJ
american_scientific_journal-4050	205	8	since	since	SCONJ
american_scientific_journal-4050	205	9	the	the	DET
american_scientific_journal-4050	205	10	roots	root	NOUN
american_scientific_journal-4050	205	11	of	of	ADP
american_scientific_journal-4050	205	12	the	the	DET
american_scientific_journal-4050	205	13	first	first	ADJ
american_scientific_journal-4050	205	14	characteristics	characteristic	NOUN
american_scientific_journal-4050	205	15	polynomial	polynomial	ADJ
american_scientific_journal-4050	205	16	(	(	PUNCT
american_scientific_journal-4050	205	17	)	)	PUNCT
american_scientific_journal-4050	205	18	1k	1k	NOUN
american_scientific_journal-4050	205	19	kr	kr	PROPN
american_scientific_journal-4050	205	20	r	r	PROPN
american_scientific_journal-4050	205	21	rr	rr	PROPN
american_scientific_journal-4050	205	22	−=	−=	ADP
american_scientific_journal-4050	205	23	−	−	PROPN
american_scientific_journal-4050	205	24	satisfy	satisfy	NOUN
american_scientific_journal-4050	206	1	|	|	ADV
american_scientific_journal-4050	206	2	r	r	NOUN
american_scientific_journal-4050	206	3	|	|	NOUN
american_scientific_journal-4050	206	4	1i	1i	PUNCT
american_scientific_journal-4050	206	5	≤	≤	NOUN
american_scientific_journal-4050	206	6	with	with	ADP
american_scientific_journal-4050	206	7	roots	root	NOUN
american_scientific_journal-4050	206	8	of	of	ADP
american_scientific_journal-4050	206	9	[	[	PUNCT
american_scientific_journal-4050	206	10	]	]	X
american_scientific_journal-4050	206	11	1ir	1ir	ADJ
american_scientific_journal-4050	206	12	=	=	PUNCT
american_scientific_journal-4050	206	13	being	be	AUX
american_scientific_journal-4050	206	14	simple	simple	ADJ
american_scientific_journal-4050	206	15	.	.	PUNCT
american_scientific_journal-4050	207	1	to	to	PART
american_scientific_journal-4050	207	2	investigate	investigate	VERB
american_scientific_journal-4050	207	3	the	the	DET
american_scientific_journal-4050	207	4	stability	stability	NOUN
american_scientific_journal-4050	207	5	properties	property	NOUN
american_scientific_journal-4050	207	6	of	of	ADP
american_scientific_journal-4050	207	7	the	the	DET
american_scientific_journal-4050	207	8	family	family	NOUN
american_scientific_journal-4050	207	9	of	of	ADP
american_scientific_journal-4050	207	10	the	the	DET
american_scientific_journal-4050	207	11	hybrid	hybrid	ADJ
american_scientific_journal-4050	207	12	multistep	multistep	ADJ
american_scientific_journal-4050	207	13	methods	method	NOUN
american_scientific_journal-4050	207	14	(	(	PUNCT
american_scientific_journal-4050	207	15	1.4	1.4	NUM
american_scientific_journal-4050	207	16	)	)	PUNCT
american_scientific_journal-4050	207	17	,	,	PUNCT
american_scientific_journal-4050	207	18	we	we	PRON
american_scientific_journal-4050	207	19	employ	employ	VERB
american_scientific_journal-4050	207	20	the	the	DET
american_scientific_journal-4050	207	21	boundary	boundary	ADJ
american_scientific_journal-4050	207	22	locus	locus	NOUN
american_scientific_journal-4050	207	23	approach	approach	NOUN
american_scientific_journal-4050	207	24	discussed	discuss	VERB
american_scientific_journal-4050	207	25	in[14	in[14	PROPN
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american_scientific_journal-4050	207	27	.	.	PUNCT
american_scientific_journal-4050	208	1	substituting	substitute	VERB
american_scientific_journal-4050	208	2	the	the	DET
american_scientific_journal-4050	208	3	hybrid	hybrid	ADJ
american_scientific_journal-4050	208	4	predictors	predictor	NOUN
american_scientific_journal-4050	208	5	in	in	ADP
american_scientific_journal-4050	208	6	(	(	PUNCT
american_scientific_journal-4050	208	7	1.6	1.6	NUM
american_scientific_journal-4050	208	8	)	)	PUNCT
american_scientific_journal-4050	208	9	into	into	ADP
american_scientific_journal-4050	208	10	(	(	PUNCT
american_scientific_journal-4050	208	11	1.5	1.5	NUM
american_scientific_journal-4050	208	12	)	)	PUNCT
american_scientific_journal-4050	208	13	then	then	ADV
american_scientific_journal-4050	208	14	into	into	ADP
american_scientific_journal-4050	208	15	(	(	PUNCT
american_scientific_journal-4050	208	16	1.4	1.4	NUM
american_scientific_journal-4050	208	17	)	)	PUNCT
american_scientific_journal-4050	208	18	at	at	ADP
american_scientific_journal-4050	208	19	the	the	DET
american_scientific_journal-4050	208	20	hybrid	hybrid	ADJ
american_scientific_journal-4050	208	21	points	point	NOUN
american_scientific_journal-4050	208	22	to	to	PART
american_scientific_journal-4050	208	23	yield	yield	VERB
american_scientific_journal-4050	208	24	a	a	DET
american_scientific_journal-4050	208	25	scheme	scheme	NOUN
american_scientific_journal-4050	208	26	,	,	PUNCT
american_scientific_journal-4050	208	27	the	the	DET
american_scientific_journal-4050	208	28	resulting	result	VERB
american_scientific_journal-4050	208	29	scheme	scheme	NOUN
american_scientific_journal-4050	208	30	for	for	ADP
american_scientific_journal-4050	208	31	fixed	fixed	ADJ
american_scientific_journal-4050	208	32	k	k	PROPN
american_scientific_journal-4050	208	33	is	be	AUX
american_scientific_journal-4050	208	34	applied	apply	VERB
american_scientific_journal-4050	208	35	to	to	ADP
american_scientific_journal-4050	208	36	the	the	DET
american_scientific_journal-4050	208	37	scalar	scalar	ADJ
american_scientific_journal-4050	208	38	test	test	NOUN
american_scientific_journal-4050	208	39	problem	problem	NOUN
american_scientific_journal-4050	208	40	'	'	PUNCT
american_scientific_journal-4050	208	41	,	,	PUNCT
american_scientific_journal-4050	208	42	y	y	PROPN
american_scientific_journal-4050	208	43	yλ=	yλ=	PROPN
american_scientific_journal-4050	208	44	2	2	NUM
american_scientific_journal-4050	208	45	''	''	PUNCT
american_scientific_journal-4050	208	46	,	,	PUNCT
american_scientific_journal-4050	208	47	y	y	PROPN
american_scientific_journal-4050	208	48	yλ=	yλ=	PROPN
american_scientific_journal-4050	208	49	(	(	PUNCT
american_scientific_journal-4050	208	50	)	)	PUNCT
american_scientific_journal-4050	208	51	re	re	X
american_scientific_journal-4050	208	52	0λ	0λ	NOUN
american_scientific_journal-4050	208	53	<	<	X
american_scientific_journal-4050	208	54	which	which	PRON
american_scientific_journal-4050	208	55	yields	yield	VERB
american_scientific_journal-4050	208	56	the	the	DET
american_scientific_journal-4050	208	57	stability	stability	NOUN
american_scientific_journal-4050	208	58	polynomials	polynomial	VERB
american_scientific_journal-4050	208	59	as	as	ADP
american_scientific_journal-4050	208	60	(	(	PUNCT
american_scientific_journal-4050	208	61	)	)	PUNCT
american_scientific_journal-4050	208	62	(	(	PUNCT
american_scientific_journal-4050	208	63	)	)	PUNCT
american_scientific_journal-4050	208	64	(	(	PUNCT
american_scientific_journal-4050	208	65	)	)	PUNCT
american_scientific_journal-4050	208	66	(	(	PUNCT
american_scientific_journal-4050	208	67	)	)	PUNCT
american_scientific_journal-4050	208	68	(	(	PUNCT
american_scientific_journal-4050	208	69	)	)	PUNCT
american_scientific_journal-4050	208	70	(	(	PUNCT
american_scientific_journal-4050	208	71	)	)	PUNCT
american_scientific_journal-4050	208	72	1	1	NUM
american_scientific_journal-4050	208	73	2	2	NUM
american_scientific_journal-4050	208	74	0	0	NUM
american_scientific_journal-4050	208	75	,	,	PUNCT
american_scientific_journal-4050	208	76	,	,	PUNCT
american_scientific_journal-4050	208	77	m	m	VERB
american_scientific_journal-4050	208	78	k	k	NOUN
american_scientific_journal-4050	208	79	m	m	VERB
american_scientific_journal-4050	208	80	m	m	VERB
american_scientific_journal-4050	208	81	mk	mk	NOUN
american_scientific_journal-4050	208	82	k	k	PROPN
american_scientific_journal-4050	209	1	j	j	PROPN
american_scientific_journal-4050	210	1	k	k	PROPN
american_scientific_journal-4050	210	2	j	j	PROPN
american_scientific_journal-4050	211	1	p	p	PROPN
american_scientific_journal-4050	211	2	kv	kv	PROPN
american_scientific_journal-4050	212	1	j	j	PROPN
american_scientific_journal-4050	213	1	r	r	NOUN
american_scientific_journal-4050	213	2	z	z	NOUN
american_scientific_journal-4050	213	3	r	r	NOUN
american_scientific_journal-4050	213	4	r	r	NOUN
american_scientific_journal-4050	213	5	z	z	NOUN
american_scientific_journal-4050	213	6	r	r	NOUN
american_scientific_journal-4050	213	7	h	h	NOUN
american_scientific_journal-4050	213	8	r	r	NOUN
american_scientific_journal-4050	213	9	z	z	NOUN
american_scientific_journal-4050	213	10	z	z	NOUN
american_scientific_journal-4050	213	11	rπ	rπ	NOUN
american_scientific_journal-4050	213	12	β	β	X
american_scientific_journal-4050	213	13	β	β	X
american_scientific_journal-4050	213	14	λ−	λ−	PROPN
american_scientific_journal-4050	213	15	=	=	SYM
american_scientific_journal-4050	213	16			PROPN
american_scientific_journal-4050	213	17			PUNCT
american_scientific_journal-4050	214	1	=	=	PUNCT
american_scientific_journal-4050	215	1	−	−	NOUN
american_scientific_journal-4050	215	2	−	−	PROPN
american_scientific_journal-4050	216	1	+	+	CCONJ
american_scientific_journal-4050	216	2	−	−	ADJ
american_scientific_journal-4050	216	3			NOUN
american_scientific_journal-4050	216	4			VERB
american_scientific_journal-4050	216	5			ADV
american_scientific_journal-4050	216	6			PUNCT
american_scientific_journal-4050	216	7	∑	∑	PUNCT
american_scientific_journal-4050	216	8	(	(	PUNCT
american_scientific_journal-4050	216	9	5.1	5.1	NUM
american_scientific_journal-4050	216	10	)	)	PUNCT
american_scientific_journal-4050	216	11	where	where	SCONJ
american_scientific_journal-4050	216	12	(	(	PUNCT
american_scientific_journal-4050	216	13	)	)	PUNCT
american_scientific_journal-4050	216	14	(	(	PUNCT
american_scientific_journal-4050	216	15	)	)	PUNCT
american_scientific_journal-4050	216	16	(	(	PUNCT
american_scientific_journal-4050	216	17	)	)	PUNCT
american_scientific_journal-4050	216	18	(	(	PUNCT
american_scientific_journal-4050	216	19	)	)	PUNCT
american_scientific_journal-4050	216	20	(	(	PUNCT
american_scientific_journal-4050	216	21	)	)	PUNCT
american_scientific_journal-4050	216	22	(	(	PUNCT
american_scientific_journal-4050	216	23	)	)	PUNCT
american_scientific_journal-4050	216	24	(	(	PUNCT
american_scientific_journal-4050	216	25	)	)	PUNCT
american_scientific_journal-4050	216	26	(	(	PUNCT
american_scientific_journal-4050	216	27	)	)	PUNCT
american_scientific_journal-4050	216	28	(	(	PUNCT
american_scientific_journal-4050	216	29	)	)	PUNCT
american_scientific_journal-4050	216	30	2	2	NUM
american_scientific_journal-4050	216	31	2	2	NUM
american_scientific_journal-4050	216	32	0	0	NUM
american_scientific_journal-4050	216	33	0	0	NUM
american_scientific_journal-4050	216	34	,	,	PUNCT
american_scientific_journal-4050	216	35	...	...	PUNCT
american_scientific_journal-4050	216	36	...	...	PUNCT
american_scientific_journal-4050	216	37	...	...	PUNCT
american_scientific_journal-4050	217	1	l	l	PUNCT
american_scientific_journal-4050	217	2	l	l	PUNCT
american_scientific_journal-4050	217	3	k	k	X
american_scientific_journal-4050	217	4	kl	kl	X
american_scientific_journal-4050	218	1	l	l	PROPN
american_scientific_journal-4050	218	2	l	l	X
american_scientific_journal-4050	218	3	l	l	X
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american_scientific_journal-4050	218	5	lk	lk	PROPN
american_scientific_journal-4050	219	1	k	k	PROPN
american_scientific_journal-4050	219	2	j	j	PROPN
american_scientific_journal-4050	220	1	k	k	PROPN
american_scientific_journal-4050	220	2	p	p	X
american_scientific_journal-4050	220	3	j	j	PROPN
american_scientific_journal-4050	220	4	j	j	PROPN
american_scientific_journal-4050	220	5	k	k	PROPN
american_scientific_journal-4050	220	6	kv	kv	PROPN
american_scientific_journal-4050	220	7	v	v	X
american_scientific_journal-4050	220	8	j	j	PROPN
american_scientific_journal-4050	221	1	j	j	PROPN
american_scientific_journal-4050	221	2	h	h	NOUN
american_scientific_journal-4050	221	3	r	r	NOUN
american_scientific_journal-4050	221	4	z	z	NOUN
american_scientific_journal-4050	221	5	r	r	NOUN
american_scientific_journal-4050	221	6	z	z	NOUN
american_scientific_journal-4050	221	7	r	r	NOUN
american_scientific_journal-4050	221	8	r	r	NOUN
american_scientific_journal-4050	221	9	z	z	NOUN
american_scientific_journal-4050	221	10	z	z	NOUN
american_scientific_journal-4050	221	11	r	r	NOUN
american_scientific_journal-4050	221	12	z	z	NOUN
american_scientific_journal-4050	221	13	tβ	tβ	NOUN
american_scientific_journal-4050	221	14	β	β	NOUN
american_scientific_journal-4050	221	15	β	β	X
american_scientific_journal-4050	221	16	β	β	X
american_scientific_journal-4050	221	17	λ	λ	X
american_scientific_journal-4050	221	18	λ−	λ−	PROPN
american_scientific_journal-4050	221	19	−	−	PROPN
american_scientific_journal-4050	221	20	−	−	PROPN
american_scientific_journal-4050	222	1	=	=	SYM
american_scientific_journal-4050	222	2	=	=	SYM
american_scientific_journal-4050	222	3			PROPN
american_scientific_journal-4050	222	4			NOUN
american_scientific_journal-4050	222	5			PROPN
american_scientific_journal-4050	222	6			PROPN
american_scientific_journal-4050	222	7			PROPN
american_scientific_journal-4050	222	8			PROPN
american_scientific_journal-4050	222	9	=	=	PROPN
american_scientific_journal-4050	222	10	−	−	PROPN
american_scientific_journal-4050	223	1	+	+	CCONJ
american_scientific_journal-4050	223	2	+	+	PUNCT
american_scientific_journal-4050	224	1	+	+	PUNCT
american_scientific_journal-4050	224	2	+	+	ADJ
american_scientific_journal-4050	224	3			ADJ
american_scientific_journal-4050	224	4			NOUN
american_scientific_journal-4050	224	5			X
american_scientific_journal-4050	224	6			X
american_scientific_journal-4050	224	7			PUNCT
american_scientific_journal-4050	224	8			ADJ
american_scientific_journal-4050	224	9			NOUN
american_scientific_journal-4050	224	10			PUNCT
american_scientific_journal-4050	224	11	∑	∑	PUNCT
american_scientific_journal-4050	224	12	∑	∑	PUNCT
american_scientific_journal-4050	224	13	and	and	CCONJ
american_scientific_journal-4050	224	14	(	(	PUNCT
american_scientific_journal-4050	224	15	)	)	PUNCT
american_scientific_journal-4050	224	16	(	(	PUNCT
american_scientific_journal-4050	224	17	)	)	PUNCT
american_scientific_journal-4050	224	18	(	(	PUNCT
american_scientific_journal-4050	224	19	)	)	PUNCT
american_scientific_journal-4050	224	20	2	2	NUM
american_scientific_journal-4050	224	21	0	0	NUM
american_scientific_journal-4050	224	22	k	k	NOUN
american_scientific_journal-4050	224	23	l	l	PUNCT
american_scientific_journal-4050	224	24	l	l	NOUN
american_scientific_journal-4050	225	1	lj	lj	PROPN
american_scientific_journal-4050	225	2	k	k	PROPN
american_scientific_journal-4050	226	1	j	j	PROPN
american_scientific_journal-4050	226	2	k	k	PROPN
american_scientific_journal-4050	226	3	k	k	PROPN
american_scientific_journal-4050	226	4	j	j	PROPN
american_scientific_journal-4050	226	5	t	t	PROPN
american_scientific_journal-4050	226	6	r	r	NOUN
american_scientific_journal-4050	226	7	z	z	NOUN
american_scientific_journal-4050	226	8	z	z	NOUN
american_scientific_journal-4050	226	9	rβ	rβ	X
american_scientific_journal-4050	226	10	β	β	X
american_scientific_journal-4050	226	11	λ−	λ−	PROPN
american_scientific_journal-4050	226	12	−	−	PROPN
american_scientific_journal-4050	227	1	−	−	PROPN
american_scientific_journal-4050	228	1	=	=	PUNCT
american_scientific_journal-4050	229	1	=	=	PUNCT
american_scientific_journal-4050	230	1	+	+	PUNCT
american_scientific_journal-4050	230	2	+	+	ADP
american_scientific_journal-4050	230	3	∑	∑	PROPN
american_scientific_journal-4050	230	4	the	the	DET
american_scientific_journal-4050	230	5	boundary	boundary	ADJ
american_scientific_journal-4050	230	6	plots	plot	NOUN
american_scientific_journal-4050	230	7	are	be	AUX
american_scientific_journal-4050	230	8	obtained	obtain	VERB
american_scientific_journal-4050	230	9	from	from	ADP
american_scientific_journal-4050	230	10	the	the	DET
american_scientific_journal-4050	230	11	stability	stability	NOUN
american_scientific_journal-4050	230	12	polynomials	polynomial	NOUN
american_scientific_journal-4050	230	13	for	for	ADP
american_scientific_journal-4050	230	14	various	various	ADJ
american_scientific_journal-4050	230	15	k.	k.	NOUN
american_scientific_journal-4050	230	16	5	5	NUM
american_scientific_journal-4050	230	17	.	.	PUNCT
american_scientific_journal-4050	231	1	the	the	DET
american_scientific_journal-4050	231	2	stability	stability	NOUN
american_scientific_journal-4050	231	3	plots	plot	NOUN
american_scientific_journal-4050	231	4	of	of	ADP
american_scientific_journal-4050	231	5	the	the	DET
american_scientific_journal-4050	231	6	hybrid	hybrid	NOUN
american_scientific_journal-4050	231	7	method	method	NOUN
american_scientific_journal-4050	231	8	the	the	DET
american_scientific_journal-4050	231	9	following	following	NOUN
american_scientific_journal-4050	231	10	are	be	AUX
american_scientific_journal-4050	231	11	the	the	DET
american_scientific_journal-4050	231	12	boundary	boundary	ADJ
american_scientific_journal-4050	231	13	plots	plot	NOUN
american_scientific_journal-4050	231	14	of	of	ADP
american_scientific_journal-4050	231	15	the	the	DET
american_scientific_journal-4050	231	16	implicit	implicit	ADJ
american_scientific_journal-4050	231	17	hybrid	hybrid	ADJ
american_scientific_journal-4050	231	18	scheme	scheme	NOUN
american_scientific_journal-4050	231	19	derived	derive	VERB
american_scientific_journal-4050	231	20	in	in	ADP
american_scientific_journal-4050	231	21	:	:	PUNCT
american_scientific_journal-4050	231	22	the	the	DET
american_scientific_journal-4050	231	23	boundary	boundary	ADJ
american_scientific_journal-4050	231	24	loci	loci	NOUN
american_scientific_journal-4050	231	25	reveal	reveal	VERB
american_scientific_journal-4050	231	26	that	that	SCONJ
american_scientific_journal-4050	231	27	the	the	DET
american_scientific_journal-4050	231	28	scheme	scheme	NOUN
american_scientific_journal-4050	231	29	(	(	PUNCT
american_scientific_journal-4050	231	30	1.4	1.4	NUM
american_scientific_journal-4050	231	31	)	)	PUNCT
american_scientific_journal-4050	231	32	is	be	AUX
american_scientific_journal-4050	231	33	zero	zero	NUM
american_scientific_journal-4050	231	34	-	-	PUNCT
american_scientific_journal-4050	231	35	stable	stable	ADJ
american_scientific_journal-4050	231	36	.	.	PUNCT
american_scientific_journal-4050	232	1	for	for	ADP
american_scientific_journal-4050	232	2	6k	6k	NOUN
american_scientific_journal-4050	232	3	≤	≤	NOUN
american_scientific_journal-4050	232	4	,	,	PUNCT
american_scientific_journal-4050	232	5	it	it	PRON
american_scientific_journal-4050	232	6	is	be	AUX
american_scientific_journal-4050	232	7	a	a	DET
american_scientific_journal-4050	232	8	-stable	-stable	ADJ
american_scientific_journal-4050	232	9	and	and	CCONJ
american_scientific_journal-4050	232	10	(	(	PUNCT
american_scientific_journal-4050	232	11	)	)	PUNCT
american_scientific_journal-4050	232	12	a	a	DET
american_scientific_journal-4050	232	13	α	α	NOUN
american_scientific_journal-4050	232	14	-stable	-stable	ADJ
american_scientific_journal-4050	232	15	for	for	ADP
american_scientific_journal-4050	232	16	6k	6k	NOUN
american_scientific_journal-4050	232	17	>	>	X
american_scientific_journal-4050	232	18	to	to	ADP
american_scientific_journal-4050	232	19	k=9	k=9	PROPN
american_scientific_journal-4050	232	20	.	.	PUNCT
american_scientific_journal-4050	232	21	american	american	PROPN
american_scientific_journal-4050	232	22	scientific	scientific	PROPN
american_scientific_journal-4050	232	23	research	research	PROPN
american_scientific_journal-4050	232	24	journal	journal	NOUN
american_scientific_journal-4050	232	25	for	for	ADP
american_scientific_journal-4050	232	26	engineering	engineering	NOUN
american_scientific_journal-4050	232	27	,	,	PUNCT
american_scientific_journal-4050	232	28	technology	technology	NOUN
american_scientific_journal-4050	232	29	,	,	PUNCT
american_scientific_journal-4050	232	30	and	and	CCONJ
american_scientific_journal-4050	232	31	sciences	science	NOUN
american_scientific_journal-4050	232	32	(	(	PUNCT
american_scientific_journal-4050	232	33	asrjets	asrjet	NOUN
american_scientific_journal-4050	232	34	)	)	PUNCT
american_scientific_journal-4050	232	35	(	(	PUNCT
american_scientific_journal-4050	232	36	2018	2018	NUM
american_scientific_journal-4050	232	37	)	)	PUNCT
american_scientific_journal-4050	232	38	volume	volume	NOUN
american_scientific_journal-4050	232	39	42	42	NUM
american_scientific_journal-4050	232	40	,	,	PUNCT
american_scientific_journal-4050	232	41	no	no	DET
american_scientific_journal-4050	232	42	1	1	NUM
american_scientific_journal-4050	232	43	,	,	PUNCT
american_scientific_journal-4050	232	44	pp	pp	ADV
american_scientific_journal-4050	232	45	297	297	NUM
american_scientific_journal-4050	232	46	-	-	SYM
american_scientific_journal-4050	232	47	308	308	NUM
american_scientific_journal-4050	232	48	304	304	NUM
american_scientific_journal-4050	232	49	figure	figure	NOUN
american_scientific_journal-4050	232	50	4	4	NUM
american_scientific_journal-4050	232	51	figure	figure	NOUN
american_scientific_journal-4050	232	52	5	5	NUM
american_scientific_journal-4050	232	53	figure	figure	NOUN
american_scientific_journal-4050	232	54	6	6	NUM
american_scientific_journal-4050	232	55	american	american	ADJ
american_scientific_journal-4050	232	56	scientific	scientific	ADJ
american_scientific_journal-4050	232	57	research	research	NOUN
american_scientific_journal-4050	232	58	journal	journal	NOUN
american_scientific_journal-4050	232	59	for	for	ADP
american_scientific_journal-4050	232	60	engineering	engineering	NOUN
american_scientific_journal-4050	232	61	,	,	PUNCT
american_scientific_journal-4050	232	62	technology	technology	NOUN
american_scientific_journal-4050	232	63	,	,	PUNCT
american_scientific_journal-4050	232	64	and	and	CCONJ
american_scientific_journal-4050	232	65	sciences	science	NOUN
american_scientific_journal-4050	232	66	(	(	PUNCT
american_scientific_journal-4050	232	67	asrjets	asrjet	NOUN
american_scientific_journal-4050	232	68	)	)	PUNCT
american_scientific_journal-4050	232	69	(	(	PUNCT
american_scientific_journal-4050	232	70	2018	2018	NUM
american_scientific_journal-4050	232	71	)	)	PUNCT
american_scientific_journal-4050	232	72	volume	volume	NOUN
american_scientific_journal-4050	232	73	42	42	NUM
american_scientific_journal-4050	232	74	,	,	PUNCT
american_scientific_journal-4050	232	75	no	no	DET
american_scientific_journal-4050	232	76	1	1	NUM
american_scientific_journal-4050	232	77	,	,	PUNCT
american_scientific_journal-4050	232	78	pp	pp	ADV
american_scientific_journal-4050	232	79	297	297	NUM
american_scientific_journal-4050	232	80	-	-	SYM
american_scientific_journal-4050	232	81	308	308	NUM
american_scientific_journal-4050	232	82	305	305	NUM
american_scientific_journal-4050	232	83	6	6	NUM
american_scientific_journal-4050	232	84	.	.	PUNCT
american_scientific_journal-4050	233	1	numerical	numerical	PROPN
american_scientific_journal-4050	233	2	implementations	implementation	NOUN
american_scientific_journal-4050	233	3	this	this	DET
american_scientific_journal-4050	233	4	section	section	NOUN
american_scientific_journal-4050	233	5	considers	consider	VERB
american_scientific_journal-4050	233	6	numerical	numerical	ADJ
american_scientific_journal-4050	233	7	implementation	implementation	NOUN
american_scientific_journal-4050	233	8	of	of	ADP
american_scientific_journal-4050	233	9	the	the	DET
american_scientific_journal-4050	233	10	new	new	ADJ
american_scientific_journal-4050	233	11	hybrid	hybrid	ADJ
american_scientific_journal-4050	233	12	methods	method	NOUN
american_scientific_journal-4050	233	13	(	(	PUNCT
american_scientific_journal-4050	233	14	1.4	1.4	NUM
american_scientific_journal-4050	233	15	)	)	PUNCT
american_scientific_journal-4050	233	16	on	on	ADP
american_scientific_journal-4050	233	17	some	some	DET
american_scientific_journal-4050	233	18	stiff	stiff	ADJ
american_scientific_journal-4050	233	19	initial	initial	ADJ
american_scientific_journal-4050	233	20	value	value	NOUN
american_scientific_journal-4050	233	21	problems	problem	NOUN
american_scientific_journal-4050	233	22	in	in	ADP
american_scientific_journal-4050	233	23	ordinary	ordinary	ADJ
american_scientific_journal-4050	233	24	differential	differential	ADJ
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american_scientific_journal-4050	233	26	.	.	PUNCT
american_scientific_journal-4050	234	1	since	since	SCONJ
american_scientific_journal-4050	234	2	the	the	DET
american_scientific_journal-4050	234	3	method	method	NOUN
american_scientific_journal-4050	234	4	is	be	AUX
american_scientific_journal-4050	234	5	an	an	DET
american_scientific_journal-4050	234	6	implicit	implicit	ADJ
american_scientific_journal-4050	234	7	method	method	NOUN
american_scientific_journal-4050	234	8	,	,	PUNCT
american_scientific_journal-4050	234	9	the	the	DET
american_scientific_journal-4050	234	10	implicitness	implicitness	NOUN
american_scientific_journal-4050	234	11	is	be	AUX
american_scientific_journal-4050	234	12	resolved	resolve	VERB
american_scientific_journal-4050	234	13	by	by	ADP
american_scientific_journal-4050	234	14	applying	apply	VERB
american_scientific_journal-4050	234	15	the	the	DET
american_scientific_journal-4050	234	16	newton	newton	PROPN
american_scientific_journal-4050	234	17	scheme	scheme	NOUN
american_scientific_journal-4050	234	18	[	[	PUNCT
american_scientific_journal-4050	234	19	]	]	X
american_scientific_journal-4050	234	20	[	[	PUNCT
american_scientific_journal-4050	234	21	]	]	X
american_scientific_journal-4050	234	22	[	[	PUNCT
american_scientific_journal-4050	234	23	]	]	X
american_scientific_journal-4050	234	24	(	(	PUNCT
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american_scientific_journal-4050	234	26	[	[	PUNCT
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american_scientific_journal-4050	234	28	(	(	PUNCT
american_scientific_journal-4050	234	29	)	)	PUNCT
american_scientific_journal-4050	234	30	11r	11r	PROPN
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american_scientific_journal-4050	234	35	k	k	PROPN
american_scientific_journal-4050	235	1	n	n	CCONJ
american_scientific_journal-4050	235	2	k	k	PROPN
american_scientific_journal-4050	236	1	n	n	CCONJ
american_scientific_journal-4050	237	1	k	k	PROPN
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american_scientific_journal-4050	240	4	f	f	PROPN
american_scientific_journal-4050	240	5	y	y	PROPN
american_scientific_journal-4050	240	6	−+	−+	PROPN
american_scientific_journal-4050	240	7	+	+	PROPN
american_scientific_journal-4050	241	1	+	+	PUNCT
american_scientific_journal-4050	241	2	+	+	PUNCT
american_scientific_journal-4050	241	3	+	+	ADJ
american_scientific_journal-4050	241	4	=	=	NOUN
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american_scientific_journal-4050	241	6	,	,	PUNCT
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american_scientific_journal-4050	241	8	...	...	PUNCT
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american_scientific_journal-4050	241	11	(	(	PUNCT
american_scientific_journal-4050	241	12	6.1	6.1	NUM
american_scientific_journal-4050	241	13	)	)	PUNCT
american_scientific_journal-4050	241	14	or	or	CCONJ
american_scientific_journal-4050	241	15	a	a	DET
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american_scientific_journal-4050	241	17	of	of	ADP
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american_scientific_journal-4050	241	24	(	(	PUNCT
american_scientific_journal-4050	241	25	)	)	PUNCT
american_scientific_journal-4050	241	26	r	r	NOUN
american_scientific_journal-4050	241	27	n	n	NUM
american_scientific_journal-4050	241	28	kj	kj	PROPN
american_scientific_journal-4050	241	29	y	y	PROPN
american_scientific_journal-4050	241	30	+	+	CCONJ
american_scientific_journal-4050	241	31	is	be	AUX
american_scientific_journal-4050	241	32	the	the	DET
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american_scientific_journal-4050	241	35	of	of	ADP
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american_scientific_journal-4050	241	37	new	new	ADJ
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american_scientific_journal-4050	241	39	method	method	NOUN
american_scientific_journal-4050	241	40	.	.	PUNCT
american_scientific_journal-4050	242	1	the	the	DET
american_scientific_journal-4050	242	2	(	(	PUNCT
american_scientific_journal-4050	242	3	6.1	6.1	NUM
american_scientific_journal-4050	242	4	)	)	PUNCT
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american_scientific_journal-4050	242	9	is	be	AUX
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american_scientific_journal-4050	242	12	the	the	DET
american_scientific_journal-4050	242	13	explicit	explicit	ADJ
american_scientific_journal-4050	242	14	scheme	scheme	NOUN
american_scientific_journal-4050	242	15	(	(	PUNCT
american_scientific_journal-4050	242	16	)	)	PUNCT
american_scientific_journal-4050	242	17	1	1	NUM
american_scientific_journal-4050	242	18	1	1	NUM
american_scientific_journal-4050	242	19	,	,	PUNCT
american_scientific_journal-4050	243	1	2	2	NUM
american_scientific_journal-4050	243	2	2	2	NUM
american_scientific_journal-4050	243	3	r	r	NOUN
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american_scientific_journal-4050	257	47	1	1	NUM
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american_scientific_journal-4050	261	104	-20	-20	NUM
american_scientific_journal-4050	261	105	-15	-15	PUNCT
american_scientific_journal-4050	261	106	-10	-10	PUNCT
american_scientific_journal-4050	262	1	-5	-5	NOUN
american_scientific_journal-4050	262	2	0	0	NUM
american_scientific_journal-4050	262	3	5	5	NUM
american_scientific_journal-4050	262	4	10	10	NUM
american_scientific_journal-4050	262	5	15	15	NUM
american_scientific_journal-4050	262	6	20	20	NUM
american_scientific_journal-4050	262	7	x	x	ADJ
american_scientific_journal-4050	262	8	-	-	ADJ
american_scientific_journal-4050	262	9	axis	axis	ADJ
american_scientific_journal-4050	262	10	fu	fu	NOUN
american_scientific_journal-4050	262	11	nc	nc	PROPN
american_scientific_journal-4050	262	12	tio	tio	PROPN
american_scientific_journal-4050	262	13	n	n	PRON
american_scientific_journal-4050	262	14	ax	ax	NOUN
american_scientific_journal-4050	262	15	is	be	AUX
american_scientific_journal-4050	262	16	data1	data1	PROPN
american_scientific_journal-4050	262	17	y1(ode15	y1(ode15	PROPN
american_scientific_journal-4050	262	18	)	)	PUNCT
american_scientific_journal-4050	262	19	y2	y2	PROPN
american_scientific_journal-4050	262	20	y2(ode15	y2(ode15	NOUN
american_scientific_journal-4050	262	21	)	)	PUNCT
american_scientific_journal-4050	262	22	figure	figure	NOUN
american_scientific_journal-4050	262	23	3	3	NUM
american_scientific_journal-4050	262	24	:	:	PUNCT
american_scientific_journal-4050	262	25	graphical	graphical	ADJ
american_scientific_journal-4050	262	26	solution	solution	NOUN
american_scientific_journal-4050	262	27	of	of	ADP
american_scientific_journal-4050	262	28	problem3	problem3	PROPN
american_scientific_journal-4050	262	29	7	7	NUM
american_scientific_journal-4050	262	30	.	.	X
american_scientific_journal-4050	262	31	conclusion	conclusion	NOUN
american_scientific_journal-4050	262	32	this	this	DET
american_scientific_journal-4050	262	33	paper	paper	NOUN
american_scientific_journal-4050	262	34	has	have	AUX
american_scientific_journal-4050	262	35	presented	present	VERB
american_scientific_journal-4050	262	36	a	a	DET
american_scientific_journal-4050	262	37	class	class	NOUN
american_scientific_journal-4050	262	38	of	of	ADP
american_scientific_journal-4050	262	39	hybrid	hybrid	ADJ
american_scientific_journal-4050	262	40	linear	linear	ADJ
american_scientific_journal-4050	262	41	multistep	multistep	ADJ
american_scientific_journal-4050	262	42	methods	method	NOUN
american_scientific_journal-4050	262	43	(	(	PUNCT
american_scientific_journal-4050	262	44	1.4	1.4	NUM
american_scientific_journal-4050	262	45	)	)	PUNCT
american_scientific_journal-4050	262	46	with	with	ADP
american_scientific_journal-4050	262	47	nested	nested	ADJ
american_scientific_journal-4050	262	48	hybrid	hybrid	ADJ
american_scientific_journal-4050	262	49	predictors	predictor	NOUN
american_scientific_journal-4050	262	50	(	(	PUNCT
american_scientific_journal-4050	262	51	1.5	1.5	NUM
american_scientific_journal-4050	262	52	)	)	PUNCT
american_scientific_journal-4050	262	53	for	for	ADP
american_scientific_journal-4050	262	54	stiff	stiff	ADJ
american_scientific_journal-4050	262	55	initial	initial	ADJ
american_scientific_journal-4050	262	56	value	value	NOUN
american_scientific_journal-4050	262	57	problems	problem	NOUN
american_scientific_journal-4050	262	58	in	in	ADP
american_scientific_journal-4050	262	59	ordinary	ordinary	ADJ
american_scientific_journal-4050	262	60	differential	differential	ADJ
american_scientific_journal-4050	262	61	equations	equation	NOUN
american_scientific_journal-4050	262	62	.	.	PUNCT
american_scientific_journal-4050	263	1	the	the	DET
american_scientific_journal-4050	263	2	hybrid	hybrid	ADJ
american_scientific_journal-4050	263	3	scheme	scheme	NOUN
american_scientific_journal-4050	263	4	has	have	VERB
american_scientific_journal-4050	263	5	high	high	ADJ
american_scientific_journal-4050	263	6	order	order	NOUN
american_scientific_journal-4050	263	7	stability	stability	NOUN
american_scientific_journal-4050	263	8	and	and	CCONJ
american_scientific_journal-4050	263	9	is	be	AUX
american_scientific_journal-4050	263	10	seen	see	VERB
american_scientific_journal-4050	263	11	to	to	PART
american_scientific_journal-4050	263	12	overcome	overcome	VERB
american_scientific_journal-4050	263	13	dahlquist	dahlquist	NOUN
american_scientific_journal-4050	263	14	order	order	NOUN
american_scientific_journal-4050	263	15	barrier	barrier	NOUN
american_scientific_journal-4050	263	16	on	on	ADP
american_scientific_journal-4050	263	17	linear	linear	ADJ
american_scientific_journal-4050	263	18	multistep	multistep	ADJ
american_scientific_journal-4050	263	19	methods	method	NOUN
american_scientific_journal-4050	263	20	(	(	PUNCT
american_scientific_journal-4050	263	21	1.1	1.1	NUM
american_scientific_journal-4050	263	22	)	)	PUNCT
american_scientific_journal-4050	263	23	.	.	PUNCT
american_scientific_journal-4050	264	1	the	the	DET
american_scientific_journal-4050	264	2	scheme	scheme	NOUN
american_scientific_journal-4050	264	3	has	have	AUX
american_scientific_journal-4050	264	4	been	be	AUX
american_scientific_journal-4050	264	5	implemented	implement	VERB
american_scientific_journal-4050	264	6	on	on	ADP
american_scientific_journal-4050	264	7	three	three	NUM
american_scientific_journal-4050	264	8	stiff	stiff	ADJ
american_scientific_journal-4050	264	9	problems	problem	NOUN
american_scientific_journal-4050	264	10	and	and	CCONJ
american_scientific_journal-4050	264	11	the	the	DET
american_scientific_journal-4050	264	12	results	result	NOUN
american_scientific_journal-4050	264	13	in	in	ADP
american_scientific_journal-4050	264	14	figures	figure	NOUN
american_scientific_journal-4050	264	15	1	1	NUM
american_scientific_journal-4050	264	16	and	and	CCONJ
american_scientific_journal-4050	264	17	3	3	NUM
american_scientific_journal-4050	264	18	show	show	VERB
american_scientific_journal-4050	264	19	that	that	SCONJ
american_scientific_journal-4050	264	20	the	the	DET
american_scientific_journal-4050	264	21	scheme	scheme	NOUN
american_scientific_journal-4050	264	22	(	(	PUNCT
american_scientific_journal-4050	264	23	1.4	1.4	NUM
american_scientific_journal-4050	264	24	)	)	PUNCT
american_scientific_journal-4050	264	25	compares	compare	VERB
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american_scientific_journal-4050	264	27	with	with	ADP
american_scientific_journal-4050	264	28	ode15s	ode15s	PROPN
american_scientific_journal-4050	264	29	of	of	ADP
american_scientific_journal-4050	264	30	matlab	matlab	PROPN
american_scientific_journal-4050	264	31	in	in	ADP
american_scientific_journal-4050	264	32	[	[	X
american_scientific_journal-4050	264	33	13	13	NUM
american_scientific_journal-4050	264	34	]	]	PUNCT
american_scientific_journal-4050	264	35	.	.	PUNCT
american_scientific_journal-4050	265	1	in	in	ADP
american_scientific_journal-4050	265	2	figure	figure	NOUN
american_scientific_journal-4050	265	3	2	2	NUM
american_scientific_journal-4050	265	4	,	,	PUNCT
american_scientific_journal-4050	265	5	the	the	DET
american_scientific_journal-4050	265	6	graph	graph	NOUN
american_scientific_journal-4050	265	7	is	be	AUX
american_scientific_journal-4050	265	8	in	in	ADP
american_scientific_journal-4050	265	9	alignment	alignment	NOUN
american_scientific_journal-4050	265	10	with	with	ADP
american_scientific_journal-4050	265	11	the	the	DET
american_scientific_journal-4050	265	12	exact	exact	ADJ
american_scientific_journal-4050	265	13	solution	solution	NOUN
american_scientific_journal-4050	265	14	of	of	ADP
american_scientific_journal-4050	265	15	the	the	DET
american_scientific_journal-4050	265	16	ode	ode	PROPN
american_scientific_journal-4050	265	17	.	.	PUNCT
american_scientific_journal-4050	266	1	references	reference	NOUN
american_scientific_journal-4050	266	2	[	[	X
american_scientific_journal-4050	266	3	1	1	NUM
american_scientific_journal-4050	266	4	]	]	PUNCT
american_scientific_journal-4050	266	5	brugnano	brugnano	NOUN
american_scientific_journal-4050	266	6	,	,	PUNCT
american_scientific_journal-4050	266	7	l	l	PROPN
american_scientific_journal-4050	266	8	&	&	CCONJ
american_scientific_journal-4050	266	9	trigiante	trigiante	PROPN
american_scientific_journal-4050	266	10	,	,	PUNCT
american_scientific_journal-4050	266	11	d.	d.	PROPN
american_scientific_journal-4050	266	12	;	;	PUNCT
american_scientific_journal-4050	266	13	solving	solve	VERB
american_scientific_journal-4050	266	14	differential	differential	NOUN
american_scientific_journal-4050	266	15	problems	problem	NOUN
american_scientific_journal-4050	266	16	by	by	ADP
american_scientific_journal-4050	266	17	multistep	multistep	ADJ
american_scientific_journal-4050	266	18	initial	initial	ADJ
american_scientific_journal-4050	266	19	and	and	CCONJ
american_scientific_journal-4050	266	20	boundary	boundary	ADJ
american_scientific_journal-4050	266	21	value	value	NOUN
american_scientific_journal-4050	266	22	methods	method	NOUN
american_scientific_journal-4050	266	23	,	,	PUNCT
american_scientific_journal-4050	266	24	amsterdan	amsterdan	ADJ
american_scientific_journal-4050	266	25	:	:	PUNCT
american_scientific_journal-4050	266	26	gordon	gordon	PROPN
american_scientific_journal-4050	266	27	and	and	CCONJ
american_scientific_journal-4050	266	28	breach	breach	VERB
american_scientific_journal-4050	266	29	science	science	NOUN
american_scientific_journal-4050	266	30	publishers	publisher	NOUN
american_scientific_journal-4050	266	31	,	,	PUNCT
american_scientific_journal-4050	266	32	1998	1998	NUM
american_scientific_journal-4050	266	33	.	.	PUNCT
american_scientific_journal-4050	267	1	[	[	X
american_scientific_journal-4050	267	2	2	2	NUM
american_scientific_journal-4050	267	3	]	]	PUNCT
american_scientific_journal-4050	267	4	butcher	butcher	NOUN
american_scientific_journal-4050	267	5	,	,	PUNCT
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american_scientific_journal-4050	267	7	;	;	PUNCT
american_scientific_journal-4050	267	8	a	a	DET
american_scientific_journal-4050	267	9	modified	modify	VERB
american_scientific_journal-4050	267	10	multistep	multistep	ADJ
american_scientific_journal-4050	267	11	method	method	NOUN
american_scientific_journal-4050	267	12	of	of	ADP
american_scientific_journal-4050	267	13	numerical	numerical	ADJ
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american_scientific_journal-4050	267	15	of	of	ADP
american_scientific_journal-4050	267	16	ordinary	ordinary	ADJ
american_scientific_journal-4050	267	17	differential	differential	ADJ
american_scientific_journal-4050	267	18	equations	equation	NOUN
american_scientific_journal-4050	267	19	,	,	PUNCT
american_scientific_journal-4050	267	20	j	j	PROPN
american_scientific_journal-4050	267	21	ass	ass	PROPN
american_scientific_journal-4050	267	22	.	.	PUNCT
american_scientific_journal-4050	268	1	comput	comput	PROPN
american_scientific_journal-4050	268	2	.	.	PUNCT
american_scientific_journal-4050	269	1	math	math	NOUN
american_scientific_journal-4050	269	2	;	;	PUNCT
american_scientific_journal-4050	269	3	1965	1965	NUM
american_scientific_journal-4050	269	4	,	,	PUNCT
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american_scientific_journal-4050	269	6	,	,	PUNCT
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american_scientific_journal-4050	269	8	-	-	PUNCT
american_scientific_journal-4050	269	9	135	135	NUM
american_scientific_journal-4050	269	10	.	.	PUNCT
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american_scientific_journal-4050	270	2	3	3	NUM
american_scientific_journal-4050	270	3	]	]	PUNCT
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american_scientific_journal-4050	270	5	,	,	PUNCT
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american_scientific_journal-4050	270	7	;	;	PUNCT
american_scientific_journal-4050	270	8	a	a	DET
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american_scientific_journal-4050	270	12	-	-	PUNCT
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american_scientific_journal-4050	270	15	,	,	PUNCT
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american_scientific_journal-4050	270	18	.	.	PUNCT
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american_scientific_journal-4050	271	2	.	.	PUNCT
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american_scientific_journal-4050	272	2	.	.	PUNCT
american_scientific_journal-4050	272	3	,	,	PUNCT
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american_scientific_journal-4050	272	5	,	,	PUNCT
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american_scientific_journal-4050	272	7	,	,	PUNCT
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american_scientific_journal-4050	272	9	-	-	PUNCT
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american_scientific_journal-4050	272	11	.	.	PUNCT
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american_scientific_journal-4050	273	3	]	]	X
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american_scientific_journal-4050	273	5	,	,	PUNCT
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american_scientific_journal-4050	273	8	;	;	PUNCT
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american_scientific_journal-4050	273	18	.	.	PUNCT
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american_scientific_journal-4050	274	2	,	,	PUNCT
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american_scientific_journal-4050	275	1	27	27	NUM
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american_scientific_journal-4050	276	5	,	,	PUNCT
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american_scientific_journal-4050	276	7	&	&	CCONJ
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american_scientific_journal-4050	276	16	-	-	PUNCT
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american_scientific_journal-4050	279	11	.	.	PUNCT
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american_scientific_journal-4050	283	7	,	,	PUNCT
american_scientific_journal-4050	283	8	technology	technology	NOUN
american_scientific_journal-4050	283	9	,	,	PUNCT
american_scientific_journal-4050	283	10	and	and	CCONJ
american_scientific_journal-4050	283	11	sciences	science	NOUN
american_scientific_journal-4050	283	12	(	(	PUNCT
american_scientific_journal-4050	283	13	asrjets	asrjet	NOUN
american_scientific_journal-4050	283	14	)	)	PUNCT
american_scientific_journal-4050	283	15	(	(	PUNCT
american_scientific_journal-4050	283	16	2018	2018	NUM
american_scientific_journal-4050	283	17	)	)	PUNCT
american_scientific_journal-4050	283	18	volume	volume	NOUN
american_scientific_journal-4050	283	19	42	42	NUM
american_scientific_journal-4050	283	20	,	,	PUNCT
american_scientific_journal-4050	283	21	no	no	DET
american_scientific_journal-4050	283	22	1	1	NUM
american_scientific_journal-4050	283	23	,	,	PUNCT
american_scientific_journal-4050	283	24	pp	pp	ADV
american_scientific_journal-4050	283	25	297	297	NUM
american_scientific_journal-4050	283	26	-	-	SYM
american_scientific_journal-4050	283	27	308	308	NUM
american_scientific_journal-4050	283	28	308	308	NUM
american_scientific_journal-4050	283	29	math	math	NOUN
american_scientific_journal-4050	283	30	.	.	PUNCT
american_scientific_journal-4050	284	1	,	,	PUNCT
american_scientific_journal-4050	284	2	vol.25	vol.25	ADJ
american_scientific_journal-4050	284	3	,	,	PUNCT
american_scientific_journal-4050	284	4	(	(	PUNCT
american_scientific_journal-4050	284	5	2000	2000	NUM
american_scientific_journal-4050	284	6	)	)	PUNCT
american_scientific_journal-4050	284	7	,	,	PUNCT
american_scientific_journal-4050	284	8	pp	pp	ADP
american_scientific_journal-4050	284	9	.	.	PUNCT
american_scientific_journal-4050	285	1	159	159	NUM
american_scientific_journal-4050	285	2	-	-	SYM
american_scientific_journal-4050	285	3	170	170	NUM
american_scientific_journal-4050	285	4	.	.	PUNCT
american_scientific_journal-4050	286	1	[	[	X
american_scientific_journal-4050	286	2	8	8	NUM
american_scientific_journal-4050	286	3	]	]	PUNCT
american_scientific_journal-4050	286	4	esuabana	esuabana	PROPN
american_scientific_journal-4050	286	5	i.	i.	PROPN
american_scientific_journal-4050	286	6	m	m	PROPN
american_scientific_journal-4050	286	7	&	&	CCONJ
american_scientific_journal-4050	286	8	ekoro	ekoro	PROPN
american_scientific_journal-4050	286	9	s.	s.	PROPN
american_scientific_journal-4050	286	10	e.	e.	PROPN
american_scientific_journal-4050	286	11	;	;	PUNCT
american_scientific_journal-4050	286	12	hybrid	hybrid	ADJ
american_scientific_journal-4050	286	13	linear	linear	ADJ
american_scientific_journal-4050	286	14	multistep	multistep	ADJ
american_scientific_journal-4050	286	15	methods	method	NOUN
american_scientific_journal-4050	286	16	with	with	ADP
american_scientific_journal-4050	286	17	nested	nested	ADJ
american_scientific_journal-4050	286	18	hybrid	hybrid	ADJ
american_scientific_journal-4050	286	19	predictors	predictor	NOUN
american_scientific_journal-4050	286	20	for	for	ADP
american_scientific_journal-4050	286	21	solving	solve	VERB
american_scientific_journal-4050	286	22	linear	linear	NOUN
american_scientific_journal-4050	286	23	and	and	CCONJ
american_scientific_journal-4050	286	24	nonlinear	nonlinear	ADJ
american_scientific_journal-4050	286	25	initial	initial	ADJ
american_scientific_journal-4050	286	26	value	value	NOUN
american_scientific_journal-4050	286	27	problems	problem	NOUN
american_scientific_journal-4050	286	28	in	in	ADP
american_scientific_journal-4050	286	29	ordinary	ordinary	ADJ
american_scientific_journal-4050	286	30	differential	differential	ADJ
american_scientific_journal-4050	286	31	equations	equation	NOUN
american_scientific_journal-4050	286	32	,	,	PUNCT
american_scientific_journal-4050	286	33	iiste	iiste	PROPN
american_scientific_journal-4050	286	34	journal	journal	PROPN
american_scientific_journal-4050	286	35	of	of	ADP
american_scientific_journal-4050	286	36	mathematical	mathematical	ADJ
american_scientific_journal-4050	286	37	theory	theory	NOUN
american_scientific_journal-4050	286	38	and	and	CCONJ
american_scientific_journal-4050	286	39	modeling	modeling	NOUN
american_scientific_journal-4050	286	40	,	,	PUNCT
american_scientific_journal-4050	286	41	2017	2017	NUM
american_scientific_journal-4050	286	42	,	,	PUNCT
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american_scientific_journal-4050	286	44	.	.	PUNCT
american_scientific_journal-4050	287	1	7,iss	7,iss	NUM
american_scientific_journal-4050	287	2	.	.	NOUN
american_scientific_journal-4050	287	3	11	11	NUM
american_scientific_journal-4050	287	4	,	,	PUNCT
american_scientific_journal-4050	287	5	pp	pp	ADJ
american_scientific_journal-4050	287	6	.	.	PUNCT
american_scientific_journal-4050	288	1	77	77	NUM
american_scientific_journal-4050	288	2	-	-	SYM
american_scientific_journal-4050	288	3	88	88	NUM
american_scientific_journal-4050	288	4	.	.	PUNCT
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american_scientific_journal-4050	289	2	9	9	NUM
american_scientific_journal-4050	289	3	]	]	SYM
american_scientific_journal-4050	289	4	fatunla	fatunla	NOUN
american_scientific_journal-4050	289	5	,	,	PUNCT
american_scientific_journal-4050	289	6	s.	s.	PROPN
american_scientific_journal-4050	289	7	o.	o.	PROPN
american_scientific_journal-4050	289	8	;	;	PUNCT
american_scientific_journal-4050	289	9	numerical	numerical	ADJ
american_scientific_journal-4050	289	10	methods	method	NOUN
american_scientific_journal-4050	289	11	for	for	ADP
american_scientific_journal-4050	289	12	initial	initial	ADJ
american_scientific_journal-4050	289	13	value	value	NOUN
american_scientific_journal-4050	289	14	problems	problem	NOUN
american_scientific_journal-4050	289	15	in	in	ADP
american_scientific_journal-4050	289	16	ordinary	ordinary	ADJ
american_scientific_journal-4050	289	17	differential	differential	ADJ
american_scientific_journal-4050	289	18	equations	equation	NOUN
american_scientific_journal-4050	289	19	,	,	PUNCT
american_scientific_journal-4050	289	20	new	new	PROPN
american_scientific_journal-4050	289	21	york	york	PROPN
american_scientific_journal-4050	289	22	:	:	PUNCT
american_scientific_journal-4050	289	23	academic	academic	ADJ
american_scientific_journal-4050	289	24	press	press	NOUN
american_scientific_journal-4050	289	25	,	,	PUNCT
american_scientific_journal-4050	289	26	1988	1988	NUM
american_scientific_journal-4050	289	27	.	.	PUNCT
american_scientific_journal-4050	290	1	[	[	X
american_scientific_journal-4050	290	2	10	10	NUM
american_scientific_journal-4050	290	3	]	]	X
american_scientific_journal-4050	290	4	gear	gear	NOUN
american_scientific_journal-4050	290	5	,	,	PUNCT
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american_scientific_journal-4050	290	8	;	;	PUNCT
american_scientific_journal-4050	290	9	hybrid	hybrid	ADJ
american_scientific_journal-4050	290	10	methods	method	NOUN
american_scientific_journal-4050	290	11	for	for	ADP
american_scientific_journal-4050	290	12	ivp	ivp	NOUN
american_scientific_journal-4050	290	13	’s	’s	NOUN
american_scientific_journal-4050	290	14	in	in	ADP
american_scientific_journal-4050	290	15	odes	ode	NOUN
american_scientific_journal-4050	290	16	,	,	PUNCT
american_scientific_journal-4050	290	17	siam	siam	ADJ
american_scientific_journal-4050	290	18	journal	journal	NOUN
american_scientific_journal-4050	290	19	on	on	ADP
american_scientific_journal-4050	290	20	numerical	numerical	ADJ
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american_scientific_journal-4050	290	22	,	,	PUNCT
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american_scientific_journal-4050	290	25	,	,	PUNCT
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american_scientific_journal-4050	290	27	-	-	PUNCT
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american_scientific_journal-4050	290	29	.	.	PUNCT
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american_scientific_journal-4050	291	2	11	11	NUM
american_scientific_journal-4050	291	3	]	]	X
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american_scientific_journal-4050	291	5	,	,	PUNCT
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american_scientific_journal-4050	291	7	b	b	PROPN
american_scientific_journal-4050	291	8	&	&	CCONJ
american_scientific_journal-4050	291	9	shetter	shetter	PROPN
american_scientific_journal-4050	291	10	,	,	PUNCT
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american_scientific_journal-4050	291	13	;	;	PUNCT
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american_scientific_journal-4050	291	16	predictor	predictor	NOUN
american_scientific_journal-4050	291	17	-	-	PUNCT
american_scientific_journal-4050	291	18	correctors	corrector	NOUN
american_scientific_journal-4050	291	19	methods	method	NOUN
american_scientific_journal-4050	291	20	,	,	PUNCT
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american_scientific_journal-4050	291	23	.	.	PUNCT
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american_scientific_journal-4050	292	2	.	.	PUNCT
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american_scientific_journal-4050	293	2	.	.	PUNCT
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american_scientific_journal-4050	294	2	,	,	PUNCT
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american_scientific_journal-4050	294	4	,	,	PUNCT
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american_scientific_journal-4050	294	6	-	-	PUNCT
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american_scientific_journal-4050	294	8	.	.	PUNCT
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american_scientific_journal-4050	295	3	]	]	PUNCT
american_scientific_journal-4050	295	4	hairer	hairer	PROPN
american_scientific_journal-4050	295	5	e.	e.	PROPN
american_scientific_journal-4050	295	6	&	&	CCONJ
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american_scientific_journal-4050	295	9	;	;	PUNCT
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american_scientific_journal-4050	295	13	equation	equation	NOUN
american_scientific_journal-4050	295	14	11	11	NUM
american_scientific_journal-4050	295	15	:	:	PUNCT
american_scientific_journal-4050	295	16	stiff	stiff	ADJ
american_scientific_journal-4050	295	17	and	and	CCONJ
american_scientific_journal-4050	295	18	differential	differential	VERB
american_scientific_journal-4050	295	19	algebraic	algebraic	ADJ
american_scientific_journal-4050	295	20	problems	problem	NOUN
american_scientific_journal-4050	295	21	,	,	PUNCT
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american_scientific_journal-4050	295	24	.	.	PUNCT
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american_scientific_journal-4050	296	2	-	-	PUNCT
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american_scientific_journal-4050	296	4	,	,	PUNCT
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american_scientific_journal-4050	296	7	.	.	PUNCT
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american_scientific_journal-4050	297	5	,	,	PUNCT
american_scientific_journal-4050	297	6	d.	d.	PROPN
american_scientific_journal-4050	297	7	j.	j.	PROPN
american_scientific_journal-4050	297	8	;	;	PUNCT
american_scientific_journal-4050	297	9	higham	higham	PROPN
american_scientific_journal-4050	297	10	,	,	PUNCT
american_scientific_journal-4050	297	11	n.j	n.j	PROPN
american_scientific_journal-4050	297	12	.	.	PROPN
american_scientific_journal-4050	297	13	–	–	PUNCT
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american_scientific_journal-4050	297	16	,	,	PUNCT
american_scientific_journal-4050	297	17	society	society	NOUN
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american_scientific_journal-4050	297	20	and	and	CCONJ
american_scientific_journal-4050	297	21	applied	applied	ADJ
american_scientific_journal-4050	297	22	mathematics	mathematic	NOUN
american_scientific_journal-4050	297	23	(	(	PUNCT
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american_scientific_journal-4050	297	26	,	,	PUNCT
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american_scientific_journal-4050	297	28	,	,	PUNCT
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american_scientific_journal-4050	297	30	,	,	PUNCT
american_scientific_journal-4050	297	31	2000	2000	NUM
american_scientific_journal-4050	297	32	.	.	PUNCT
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american_scientific_journal-4050	298	2	14	14	NUM
american_scientific_journal-4050	298	3	]	]	SYM
american_scientific_journal-4050	298	4	ikhile	ikhile	NOUN
american_scientific_journal-4050	298	5	,	,	PUNCT
american_scientific_journal-4050	298	6	m.	m.	NOUN
american_scientific_journal-4050	298	7	n.	n.	PROPN
american_scientific_journal-4050	298	8	o	o	PROPN
american_scientific_journal-4050	298	9	&	&	CCONJ
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american_scientific_journal-4050	298	11	,	,	PUNCT
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american_scientific_journal-4050	298	14	;	;	PUNCT
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american_scientific_journal-4050	298	16	stable	stable	ADJ
american_scientific_journal-4050	298	17	continuous	continuous	ADJ
american_scientific_journal-4050	298	18	extension	extension	NOUN
american_scientific_journal-4050	298	19	of	of	ADP
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american_scientific_journal-4050	298	21	derivative	derivative	ADJ
american_scientific_journal-4050	298	22	linear	linear	ADJ
american_scientific_journal-4050	298	23	multistep	multistep	ADJ
american_scientific_journal-4050	298	24	method	method	NOUN
american_scientific_journal-4050	298	25	with	with	ADP
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american_scientific_journal-4050	298	27	off	off	ADJ
american_scientific_journal-4050	298	28	-	-	PUNCT
american_scientific_journal-4050	298	29	step	step	NOUN
american_scientific_journal-4050	298	30	point	point	NOUN
american_scientific_journal-4050	298	31	for	for	ADP
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american_scientific_journal-4050	298	33	in	in	ADP
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american_scientific_journal-4050	298	35	,	,	PUNCT
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american_scientific_journal-4050	298	38	.	.	PUNCT
american_scientific_journal-4050	299	1	assoc	assoc	PROPN
american_scientific_journal-4050	299	2	.	.	PROPN
american_scientific_journal-4050	299	3	,	,	PUNCT
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american_scientific_journal-4050	299	5	.	.	PUNCT
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american_scientific_journal-4050	300	2	.	.	PUNCT
american_scientific_journal-4050	300	3	,	,	PUNCT
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american_scientific_journal-4050	300	5	,	,	PUNCT
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american_scientific_journal-4050	300	9	,	,	PUNCT
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american_scientific_journal-4050	300	11	.	.	PUNCT
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american_scientific_journal-4050	301	2	-	-	SYM
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american_scientific_journal-4050	301	4	.	.	PUNCT
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american_scientific_journal-4050	302	5	,	,	PUNCT
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american_scientific_journal-4050	302	8	;	;	PUNCT
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american_scientific_journal-4050	302	10	methods	method	NOUN
american_scientific_journal-4050	302	11	for	for	ADP
american_scientific_journal-4050	302	12	ordinary	ordinary	ADJ
american_scientific_journal-4050	302	13	differential	differential	ADJ
american_scientific_journal-4050	302	14	systems	system	NOUN
american_scientific_journal-4050	302	15	,	,	PUNCT
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american_scientific_journal-4050	302	17	;	;	PUNCT
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american_scientific_journal-4050	302	21	,	,	PUNCT
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american_scientific_journal-4050	302	23	.	.	PUNCT
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american_scientific_journal-4050	303	2	16	16	NUM
american_scientific_journal-4050	303	3	]	]	X
american_scientific_journal-4050	303	4	okuonghae	okuonghae	NOUN
american_scientific_journal-4050	303	5	,	,	PUNCT
american_scientific_journal-4050	303	6	r.	r.	PROPN
american_scientific_journal-4050	303	7	i.	i.	PROPN
american_scientific_journal-4050	303	8	,	,	PUNCT
american_scientific_journal-4050	303	9	&	&	CCONJ
american_scientific_journal-4050	303	10	ikhile	ikhile	VERB
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american_scientific_journal-4050	303	12	n.	n.	PROPN
american_scientific_journal-4050	303	13	o.	o.	PROPN
american_scientific_journal-4050	303	14	,	,	PUNCT
american_scientific_journal-4050	303	15	a	a	DET
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american_scientific_journal-4050	303	20	multistep	multistep	ADJ
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american_scientific_journal-4050	303	22	with	with	ADP
american_scientific_journal-4050	303	23	(	(	PUNCT
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american_scientific_journal-4050	303	25	a	a	DET
american_scientific_journal-4050	303	26	α	α	NUM
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american_scientific_journal-4050	303	32	in	in	ADP
american_scientific_journal-4050	303	33	odes	ode	NOUN
american_scientific_journal-4050	303	34	,	,	PUNCT
american_scientific_journal-4050	303	35	j.	j.	PROPN
american_scientific_journal-4050	303	36	num	num	PROPN
american_scientific_journal-4050	303	37	.	.	PROPN
american_scientific_journal-4050	303	38	math	math	PROPN
american_scientific_journal-4050	303	39	.	.	PUNCT
american_scientific_journal-4050	304	1	2014	2014	NUM
american_scientific_journal-4050	304	2	,	,	PUNCT
american_scientific_journal-4050	304	3	vol	vol	NOUN
american_scientific_journal-4050	304	4	.	.	PROPN
american_scientific_journal-4050	304	5	8	8	NUM
american_scientific_journal-4050	304	6	,	,	PUNCT
american_scientific_journal-4050	304	7	iss	iss	PROPN
american_scientific_journal-4050	304	8	.	.	PROPN
american_scientific_journal-4050	305	1	4	4	NUM
american_scientific_journal-4050	305	2	,	,	PUNCT
american_scientific_journal-4050	305	3	pp	pp	ADJ
american_scientific_journal-4050	305	4	.	.	PUNCT
american_scientific_journal-4050	306	1	441	441	NUM
american_scientific_journal-4050	306	2	-	-	SYM
american_scientific_journal-4050	306	3	469	469	NUM
american_scientific_journal-4050	306	4	.	.	PUNCT
american_scientific_journal-4050	307	1	[	[	X
american_scientific_journal-4050	307	2	17	17	NUM
american_scientific_journal-4050	307	3	]	]	X
american_scientific_journal-4050	307	4	robertson	robertson	PROPN
american_scientific_journal-4050	307	5	,	,	PUNCT
american_scientific_journal-4050	307	6	h.	h.	PROPN
american_scientific_journal-4050	307	7	h	h	PROPN
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american_scientific_journal-4050	307	12	a	a	DET
american_scientific_journal-4050	307	13	set	set	NOUN
american_scientific_journal-4050	307	14	of	of	ADP
american_scientific_journal-4050	307	15	reaction	reaction	NOUN
american_scientific_journal-4050	307	16	rate	rate	NOUN
american_scientific_journal-4050	307	17	equation	equation	NOUN
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american_scientific_journal-4050	307	23	an	an	DET
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american_scientific_journal-4050	307	30	.	.	PUNCT
american_scientific_journal-4050	307	31	)	)	PUNCT
american_scientific_journal-4050	307	32	,	,	PUNCT
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american_scientific_journal-4050	307	35	,	,	PUNCT
american_scientific_journal-4050	307	36	new	new	PROPN
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american_scientific_journal-4050	307	38	,	,	PUNCT
american_scientific_journal-4050	307	39	1966	1966	NUM
american_scientific_journal-4050	307	40	,	,	PUNCT
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american_scientific_journal-4050	307	42	.	.	PUNCT
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american_scientific_journal-4050	307	46	.	.	PUNCT
