id	sid	tid	token	lemma	pos
american_scientific_journal-3828	1	1	103	103	NUM
american_scientific_journal-3828	1	2	american	american	ADJ
american_scientific_journal-3828	1	3	scientific	scientific	ADJ
american_scientific_journal-3828	1	4	research	research	NOUN
american_scientific_journal-3828	1	5	journal	journal	NOUN
american_scientific_journal-3828	1	6	for	for	ADP
american_scientific_journal-3828	1	7	engineering	engineering	NOUN
american_scientific_journal-3828	1	8	,	,	PUNCT
american_scientific_journal-3828	1	9	technology	technology	NOUN
american_scientific_journal-3828	1	10	,	,	PUNCT
american_scientific_journal-3828	1	11	and	and	CCONJ
american_scientific_journal-3828	1	12	sciences	science	NOUN
american_scientific_journal-3828	1	13	(	(	PUNCT
american_scientific_journal-3828	1	14	asrjets	asrjet	NOUN
american_scientific_journal-3828	1	15	)	)	PUNCT
american_scientific_journal-3828	1	16	issn	issn	PROPN
american_scientific_journal-3828	1	17	(	(	PUNCT
american_scientific_journal-3828	1	18	print	print	NOUN
american_scientific_journal-3828	1	19	)	)	PUNCT
american_scientific_journal-3828	1	20	2313	2313	NUM
american_scientific_journal-3828	1	21	-	-	SYM
american_scientific_journal-3828	1	22	4410	4410	NUM
american_scientific_journal-3828	1	23	,	,	PUNCT
american_scientific_journal-3828	1	24	issn	issn	PROPN
american_scientific_journal-3828	1	25	(	(	PUNCT
american_scientific_journal-3828	1	26	online	online	ADJ
american_scientific_journal-3828	1	27	)	)	PUNCT
american_scientific_journal-3828	1	28	2313	2313	NUM
american_scientific_journal-3828	1	29	-	-	SYM
american_scientific_journal-3828	1	30	4402	4402	NUM
american_scientific_journal-3828	1	31	©	©	PROPN
american_scientific_journal-3828	1	32	global	global	ADJ
american_scientific_journal-3828	1	33	society	society	NOUN
american_scientific_journal-3828	1	34	of	of	ADP
american_scientific_journal-3828	1	35	scientific	scientific	ADJ
american_scientific_journal-3828	1	36	research	research	NOUN
american_scientific_journal-3828	1	37	and	and	CCONJ
american_scientific_journal-3828	1	38	researchers	researcher	NOUN
american_scientific_journal-3828	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-3828	1	40	hpm	hpm	NOUN
american_scientific_journal-3828	1	41	approximations	approximation	NOUN
american_scientific_journal-3828	1	42	for	for	ADP
american_scientific_journal-3828	1	43	trajectories	trajectory	NOUN
american_scientific_journal-3828	1	44	:	:	PUNCT
american_scientific_journal-3828	1	45	from	from	ADP
american_scientific_journal-3828	1	46	a	a	DET
american_scientific_journal-3828	1	47	golf	golf	NOUN
american_scientific_journal-3828	1	48	ball	ball	NOUN
american_scientific_journal-3828	1	49	path	path	NOUN
american_scientific_journal-3828	1	50	to	to	ADP
american_scientific_journal-3828	1	51	mercury	mercury	NOUN
american_scientific_journal-3828	1	52	’s	’s	PART
american_scientific_journal-3828	1	53	orbit	orbit	PROPN
american_scientific_journal-3828	1	54	u.	u.	PROPN
american_scientific_journal-3828	1	55	filobello	filobello	PROPN
american_scientific_journal-3828	1	56	-	-	PUNCT
american_scientific_journal-3828	1	57	ninoa	ninoa	NOUN
american_scientific_journal-3828	1	58	,	,	PUNCT
american_scientific_journal-3828	1	59	v.m	v.m	PROPN
american_scientific_journal-3828	1	60	.	.	PROPN
american_scientific_journal-3828	1	61	jimenez	jimenez	PROPN
american_scientific_journal-3828	1	62	-	-	PUNCT
american_scientific_journal-3828	1	63	fernandezb	fernandezb	PROPN
american_scientific_journal-3828	1	64	,	,	PUNCT
american_scientific_journal-3828	1	65	r.	r.	PROPN
american_scientific_journal-3828	1	66	castaneda	castaneda	PROPN
american_scientific_journal-3828	1	67	-	-	PUNCT
american_scientific_journal-3828	1	68	sheissac	sheissac	VERB
american_scientific_journal-3828	1	69	,	,	PUNCT
american_scientific_journal-3828	1	70	b.e	b.e	PROPN
american_scientific_journal-3828	1	71	.	.	PROPN
american_scientific_journal-3828	1	72	palma	palma	PROPN
american_scientific_journal-3828	1	73	-	-	PUNCT
american_scientific_journal-3828	1	74	grayebd	grayebd	PROPN
american_scientific_journal-3828	1	75	,	,	PUNCT
american_scientific_journal-3828	1	76	d.	d.	PROPN
american_scientific_journal-3828	1	77	pereyra	pereyra	PROPN
american_scientific_journal-3828	1	78	-	-	PUNCT
american_scientific_journal-3828	1	79	diaze	diaze	NOUN
american_scientific_journal-3828	1	80	,	,	PUNCT
american_scientific_journal-3828	1	81	j.e	j.e	PROPN
american_scientific_journal-3828	1	82	.	.	PROPN
american_scientific_journal-3828	1	83	pretelin	pretelin	PROPN
american_scientific_journal-3828	1	84	canelaf	canelaf	PROPN
american_scientific_journal-3828	1	85	,	,	PUNCT
american_scientific_journal-3828	1	86	p.s	p.s	PROPN
american_scientific_journal-3828	1	87	.	.	PROPN
american_scientific_journal-3828	1	88	luna	luna	PROPN
american_scientific_journal-3828	1	89	-	-	PUNCT
american_scientific_journal-3828	1	90	lozanog	lozanog	PROPN
american_scientific_journal-3828	1	91	,	,	PUNCT
american_scientific_journal-3828	1	92	j.	j.	PROPN
american_scientific_journal-3828	1	93	cervantes	cervantes	PROPN
american_scientific_journal-3828	1	94	-	-	PUNCT
american_scientific_journal-3828	1	95	perezh	perezh	NOUN
american_scientific_journal-3828	1	96	,	,	PUNCT
american_scientific_journal-3828	1	97	c.e	c.e	PROPN
american_scientific_journal-3828	1	98	.	.	PROPN
american_scientific_journal-3828	1	99	sampieri	sampieri	PROPN
american_scientific_journal-3828	1	100	-	-	PUNCT
american_scientific_journal-3828	1	101	gonzalezi	gonzalezi	PROPN
american_scientific_journal-3828	1	102	,	,	PUNCT
american_scientific_journal-3828	1	103	l.	l.	PROPN
american_scientific_journal-3828	1	104	cuellar	cuellar	PROPN
american_scientific_journal-3828	1	105	-	-	PUNCT
american_scientific_journal-3828	1	106	hernándezj	hernándezj	PROPN
american_scientific_journal-3828	1	107	,	,	PUNCT
american_scientific_journal-3828	1	108	c.	c.	PROPN
american_scientific_journal-3828	1	109	hoyosreyesk	hoyosreyesk	PROPN
american_scientific_journal-3828	1	110	,	,	PUNCT
american_scientific_journal-3828	1	111	s.f	s.f	PROPN
american_scientific_journal-3828	1	112	.	.	PROPN
american_scientific_journal-3828	1	113	hernandez	hernandez	PROPN
american_scientific_journal-3828	1	114	-	-	PUNCT
american_scientific_journal-3828	1	115	machucal	machucal	ADJ
american_scientific_journal-3828	1	116	,	,	PUNCT
american_scientific_journal-3828	1	117	j.m	j.m	PROPN
american_scientific_journal-3828	1	118	.	.	PROPN
american_scientific_journal-3828	1	119	mendez	mendez	PROPN
american_scientific_journal-3828	1	120	-	-	PUNCT
american_scientific_journal-3828	1	121	perezm	perezm	PROPN
american_scientific_journal-3828	1	122	,	,	PUNCT
american_scientific_journal-3828	1	123	a.d	a.d	PROPN
american_scientific_journal-3828	1	124	.	.	PROPN
american_scientific_journal-3828	1	125	contrerashernandezn	contrerashernandezn	PROPN
american_scientific_journal-3828	1	126	,	,	PUNCT
american_scientific_journal-3828	1	127	o.	o.	PROPN
american_scientific_journal-3828	1	128	alvarez	alvarez	PROPN
american_scientific_journal-3828	1	129	-	-	PUNCT
american_scientific_journal-3828	1	130	gascao	gascao	PROPN
american_scientific_journal-3828	1	131	,	,	PUNCT
american_scientific_journal-3828	1	132	f.j	f.j	PROPN
american_scientific_journal-3828	1	133	.	.	PUNCT
american_scientific_journal-3828	1	134	gonzalez	gonzalez	PROPN
american_scientific_journal-3828	1	135	-	-	PUNCT
american_scientific_journal-3828	1	136	martinezp	martinezp	PROPN
american_scientific_journal-3828	1	137	.	.	PUNCT
american_scientific_journal-3828	2	1	j.l	j.l	PROPN
american_scientific_journal-3828	2	2	.	.	PROPN
american_scientific_journal-3828	2	3	rochafernandezq	rochafernandezq	PROPN
american_scientific_journal-3828	2	4	,	,	PUNCT
american_scientific_journal-3828	2	5	j.l.vazquez	j.l.vazquez	NOUN
american_scientific_journal-3828	2	6	-	-	PUNCT
american_scientific_journal-3828	2	7	aguirrer	aguirrer	NOUN
american_scientific_journal-3828	2	8	,	,	PUNCT
american_scientific_journal-3828	2	9	l.j.varela	l.j.varela	NOUN
american_scientific_journal-3828	2	10	laras	laras	PROPN
american_scientific_journal-3828	2	11	,	,	PUNCT
american_scientific_journal-3828	2	12	r.a	r.a	PROPN
american_scientific_journal-3828	2	13	.	.	PROPN
american_scientific_journal-3828	2	14	callejas	callejas	PROPN
american_scientific_journal-3828	2	15	-	-	PUNCT
american_scientific_journal-3828	2	16	molinat	molinat	PROPN
american_scientific_journal-3828	2	17	,	,	PUNCT
american_scientific_journal-3828	2	18	h.	h.	PROPN
american_scientific_journal-3828	2	19	vazquez	vazquez	PROPN
american_scientific_journal-3828	2	20	-	-	PUNCT
american_scientific_journal-3828	2	21	lealu	lealu	PROPN
american_scientific_journal-3828	2	22	*	*	PUNCT
american_scientific_journal-3828	2	23	.	.	PUNCT
american_scientific_journal-3828	3	1	a	a	DET
american_scientific_journal-3828	3	2	,	,	PUNCT
american_scientific_journal-3828	3	3	b	b	NOUN
american_scientific_journal-3828	3	4	,	,	PUNCT
american_scientific_journal-3828	3	5	c	c	NOUN
american_scientific_journal-3828	3	6	,	,	PUNCT
american_scientific_journal-3828	3	7	d	d	NOUN
american_scientific_journal-3828	3	8	,	,	PUNCT
american_scientific_journal-3828	3	9	e	e	NOUN
american_scientific_journal-3828	3	10	,	,	PUNCT
american_scientific_journal-3828	3	11	f	f	PROPN
american_scientific_journal-3828	3	12	,	,	PUNCT
american_scientific_journal-3828	3	13	g	g	PROPN
american_scientific_journal-3828	3	14	,	,	PUNCT
american_scientific_journal-3828	3	15	h	h	NOUN
american_scientific_journal-3828	3	16	,	,	PUNCT
american_scientific_journal-3828	3	17	i	i	PRON
american_scientific_journal-3828	3	18	,	,	PUNCT
american_scientific_journal-3828	3	19	j	j	PROPN
american_scientific_journal-3828	3	20	,	,	PUNCT
american_scientific_journal-3828	3	21	k	k	PROPN
american_scientific_journal-3828	3	22	,	,	PUNCT
american_scientific_journal-3828	3	23	l	l	NOUN
american_scientific_journal-3828	3	24	,	,	PUNCT
american_scientific_journal-3828	3	25	m	m	PROPN
american_scientific_journal-3828	3	26	,	,	PUNCT
american_scientific_journal-3828	3	27	n	n	CCONJ
american_scientific_journal-3828	3	28	,	,	PUNCT
american_scientific_journal-3828	3	29	o	o	NOUN
american_scientific_journal-3828	3	30	,	,	PUNCT
american_scientific_journal-3828	3	31	p	p	X
american_scientific_journal-3828	3	32	,	,	PUNCT
american_scientific_journal-3828	3	33	q	q	ADJ
american_scientific_journal-3828	3	34	,	,	PUNCT
american_scientific_journal-3828	3	35	r	r	NOUN
american_scientific_journal-3828	3	36	,	,	PUNCT
american_scientific_journal-3828	3	37	s	s	PART
american_scientific_journal-3828	3	38	,	,	PUNCT
american_scientific_journal-3828	3	39	ufacultad	ufacultad	PROPN
american_scientific_journal-3828	3	40	de	de	PROPN
american_scientific_journal-3828	3	41	instrumentación	instrumentación	PROPN
american_scientific_journal-3828	3	42	electrónica	electrónica	PROPN
american_scientific_journal-3828	3	43	,	,	PUNCT
american_scientific_journal-3828	3	44	universidad	universidad	PROPN
american_scientific_journal-3828	3	45	veracruzana	veracruzana	PROPN
american_scientific_journal-3828	3	46	,	,	PUNCT
american_scientific_journal-3828	3	47	circuito	circuito	PROPN
american_scientific_journal-3828	3	48	gonzalo	gonzalo	PROPN
american_scientific_journal-3828	3	49	aguirre	aguirre	PROPN
american_scientific_journal-3828	3	50	beltrán	beltrán	VERB
american_scientific_journal-3828	3	51	s	s	PROPN
american_scientific_journal-3828	3	52	/	/	SYM
american_scientific_journal-3828	3	53	n	n	CCONJ
american_scientific_journal-3828	3	54	,	,	PUNCT
american_scientific_journal-3828	3	55	xalapa	xalapa	PROPN
american_scientific_journal-3828	3	56	,	,	PUNCT
american_scientific_journal-3828	3	57	veracruz	veracruz	PROPN
american_scientific_journal-3828	3	58	,	,	PUNCT
american_scientific_journal-3828	3	59	91000	91000	NUM
american_scientific_journal-3828	3	60	,	,	PUNCT
american_scientific_journal-3828	3	61	méxico	méxico	PROPN
american_scientific_journal-3828	3	62	tinstituto	tinstituto	PROPN
american_scientific_journal-3828	3	63	tecnológico	tecnológico	PROPN
american_scientific_journal-3828	3	64	de	de	PROPN
american_scientific_journal-3828	3	65	celaya	celaya	PROPN
american_scientific_journal-3828	3	66	,	,	PUNCT
american_scientific_journal-3828	3	67	celaya	celaya	PROPN
american_scientific_journal-3828	3	68	,	,	PUNCT
american_scientific_journal-3828	3	69	guanajuato	guanajuato	PROPN
american_scientific_journal-3828	3	70	,	,	PUNCT
american_scientific_journal-3828	3	71	veracruz	veracruz	PROPN
american_scientific_journal-3828	3	72	,	,	PUNCT
american_scientific_journal-3828	3	73	méxico	méxico	PROPN
american_scientific_journal-3828	3	74	aemail	aemail	NOUN
american_scientific_journal-3828	3	75	:	:	PUNCT
american_scientific_journal-3828	3	76	hvazquez@uv.com	hvazquez@uv.com	X
american_scientific_journal-3828	4	1	abstract	abstract	NOUN
american_scientific_journal-3828	4	2	in	in	ADP
american_scientific_journal-3828	4	3	this	this	DET
american_scientific_journal-3828	4	4	work	work	NOUN
american_scientific_journal-3828	4	5	,	,	PUNCT
american_scientific_journal-3828	4	6	we	we	PRON
american_scientific_journal-3828	4	7	propose	propose	VERB
american_scientific_journal-3828	4	8	the	the	DET
american_scientific_journal-3828	4	9	approximated	approximated	ADJ
american_scientific_journal-3828	4	10	analytical	analytical	ADJ
american_scientific_journal-3828	4	11	solutions	solution	NOUN
american_scientific_journal-3828	4	12	for	for	ADP
american_scientific_journal-3828	4	13	two	two	NUM
american_scientific_journal-3828	4	14	highly	highly	ADV
american_scientific_journal-3828	4	15	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	4	16	problems	problem	NOUN
american_scientific_journal-3828	4	17	using	use	VERB
american_scientific_journal-3828	4	18	the	the	DET
american_scientific_journal-3828	4	19	homotopy	homotopy	NOUN
american_scientific_journal-3828	4	20	perturbation	perturbation	NOUN
american_scientific_journal-3828	4	21	method	method	NOUN
american_scientific_journal-3828	4	22	(	(	PUNCT
american_scientific_journal-3828	4	23	hpm	hpm	NOUN
american_scientific_journal-3828	4	24	)	)	PUNCT
american_scientific_journal-3828	4	25	.	.	PUNCT
american_scientific_journal-3828	5	1	we	we	PRON
american_scientific_journal-3828	5	2	obtained	obtain	VERB
american_scientific_journal-3828	5	3	approximations	approximation	NOUN
american_scientific_journal-3828	5	4	for	for	ADP
american_scientific_journal-3828	5	5	a	a	DET
american_scientific_journal-3828	5	6	golf	golf	NOUN
american_scientific_journal-3828	5	7	ball	ball	NOUN
american_scientific_journal-3828	5	8	trajectory	trajectory	NOUN
american_scientific_journal-3828	5	9	model	model	NOUN
american_scientific_journal-3828	5	10	and	and	CCONJ
american_scientific_journal-3828	5	11	a	a	DET
american_scientific_journal-3828	5	12	mercury	mercury	NOUN
american_scientific_journal-3828	5	13	orbit	orbit	NOUN
american_scientific_journal-3828	5	14	’s	’s	PART
american_scientific_journal-3828	5	15	model	model	NOUN
american_scientific_journal-3828	5	16	.	.	PUNCT
american_scientific_journal-3828	6	1	in	in	ADP
american_scientific_journal-3828	6	2	addition	addition	NOUN
american_scientific_journal-3828	6	3	,	,	PUNCT
american_scientific_journal-3828	6	4	to	to	PART
american_scientific_journal-3828	6	5	enlarge	enlarge	VERB
american_scientific_journal-3828	6	6	the	the	DET
american_scientific_journal-3828	6	7	domain	domain	NOUN
american_scientific_journal-3828	6	8	of	of	ADP
american_scientific_journal-3828	6	9	convergence	convergence	NOUN
american_scientific_journal-3828	6	10	of	of	ADP
american_scientific_journal-3828	6	11	the	the	DET
american_scientific_journal-3828	6	12	first	first	ADJ
american_scientific_journal-3828	6	13	case	case	NOUN
american_scientific_journal-3828	6	14	study	study	NOUN
american_scientific_journal-3828	6	15	,	,	PUNCT
american_scientific_journal-3828	6	16	we	we	PRON
american_scientific_journal-3828	6	17	apply	apply	VERB
american_scientific_journal-3828	6	18	the	the	DET
american_scientific_journal-3828	6	19	laplace	laplace	NOUN
american_scientific_journal-3828	6	20	-	-	PUNCT
american_scientific_journal-3828	6	21	padé	padé	NOUN
american_scientific_journal-3828	6	22	resummation	resummation	NOUN
american_scientific_journal-3828	6	23	method	method	NOUN
american_scientific_journal-3828	6	24	to	to	ADP
american_scientific_journal-3828	6	25	the	the	DET
american_scientific_journal-3828	6	26	hpm	hpm	NOUN
american_scientific_journal-3828	6	27	series	series	NOUN
american_scientific_journal-3828	6	28	solution	solution	NOUN
american_scientific_journal-3828	6	29	.	.	PUNCT
american_scientific_journal-3828	7	1	for	for	ADP
american_scientific_journal-3828	7	2	both	both	DET
american_scientific_journal-3828	7	3	case	case	NOUN
american_scientific_journal-3828	7	4	studies	study	NOUN
american_scientific_journal-3828	7	5	,	,	PUNCT
american_scientific_journal-3828	7	6	we	we	PRON
american_scientific_journal-3828	7	7	were	be	AUX
american_scientific_journal-3828	7	8	able	able	ADJ
american_scientific_journal-3828	7	9	to	to	PART
american_scientific_journal-3828	7	10	obtain	obtain	VERB
american_scientific_journal-3828	7	11	approximations	approximation	NOUN
american_scientific_journal-3828	7	12	in	in	ADP
american_scientific_journal-3828	7	13	good	good	ADJ
american_scientific_journal-3828	7	14	agreement	agreement	NOUN
american_scientific_journal-3828	7	15	with	with	ADP
american_scientific_journal-3828	7	16	numerical	numerical	ADJ
american_scientific_journal-3828	7	17	methods	method	NOUN
american_scientific_journal-3828	7	18	,	,	PUNCT
american_scientific_journal-3828	7	19	depicting	depict	VERB
american_scientific_journal-3828	7	20	the	the	DET
american_scientific_journal-3828	7	21	basic	basic	ADJ
american_scientific_journal-3828	7	22	nature	nature	NOUN
american_scientific_journal-3828	7	23	of	of	ADP
american_scientific_journal-3828	7	24	the	the	DET
american_scientific_journal-3828	7	25	trajectories	trajectory	NOUN
american_scientific_journal-3828	7	26	of	of	ADP
american_scientific_journal-3828	7	27	the	the	DET
american_scientific_journal-3828	7	28	phenomena	phenomenon	NOUN
american_scientific_journal-3828	7	29	.	.	PUNCT
american_scientific_journal-3828	8	1	keywords	keyword	NOUN
american_scientific_journal-3828	8	2	:	:	PUNCT
american_scientific_journal-3828	8	3	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	8	4	differential	differential	ADJ
american_scientific_journal-3828	8	5	equations	equation	NOUN
american_scientific_journal-3828	8	6	;	;	PUNCT
american_scientific_journal-3828	8	7	homotopy	homotopy	NOUN
american_scientific_journal-3828	8	8	;	;	PUNCT
american_scientific_journal-3828	8	9	perturbation	perturbation	NOUN
american_scientific_journal-3828	8	10	method	method	NOUN
american_scientific_journal-3828	8	11	;	;	PUNCT
american_scientific_journal-3828	8	12	resummation	resummation	NOUN
american_scientific_journal-3828	8	13	method	method	NOUN
american_scientific_journal-3828	8	14	.	.	PUNCT
american_scientific_journal-3828	9	1	1	1	X
american_scientific_journal-3828	9	2	.	.	X
american_scientific_journal-3828	9	3	introduction	introduction	NOUN
american_scientific_journal-3828	9	4	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	9	5	ordinary	ordinary	ADJ
american_scientific_journal-3828	9	6	differential	differential	ADJ
american_scientific_journal-3828	9	7	equations	equation	NOUN
american_scientific_journal-3828	9	8	(	(	PUNCT
american_scientific_journal-3828	9	9	odes	ode	NOUN
american_scientific_journal-3828	9	10	)	)	PUNCT
american_scientific_journal-3828	9	11	models	model	NOUN
american_scientific_journal-3828	9	12	a	a	DET
american_scientific_journal-3828	9	13	wide	wide	ADJ
american_scientific_journal-3828	9	14	variety	variety	NOUN
american_scientific_journal-3828	9	15	of	of	ADP
american_scientific_journal-3828	9	16	physical	physical	ADJ
american_scientific_journal-3828	9	17	phenomena	phenomenon	NOUN
american_scientific_journal-3828	9	18	.	.	PUNCT
american_scientific_journal-3828	10	1	this	this	DET
american_scientific_journal-3828	10	2	type	type	NOUN
american_scientific_journal-3828	10	3	of	of	ADP
american_scientific_journal-3828	10	4	models	model	NOUN
american_scientific_journal-3828	10	5	can	can	AUX
american_scientific_journal-3828	10	6	be	be	AUX
american_scientific_journal-3828	10	7	solved	solve	VERB
american_scientific_journal-3828	10	8	using	use	VERB
american_scientific_journal-3828	10	9	standard	standard	ADJ
american_scientific_journal-3828	10	10	numerical	numerical	ADJ
american_scientific_journal-3828	10	11	methods	method	NOUN
american_scientific_journal-3828	10	12	.	.	PUNCT
american_scientific_journal-3828	11	1	however	however	ADV
american_scientific_journal-3828	11	2	,	,	PUNCT
american_scientific_journal-3828	11	3	it	it	PRON
american_scientific_journal-3828	11	4	is	be	AUX
american_scientific_journal-3828	11	5	known	know	VERB
american_scientific_journal-3828	11	6	that	that	SCONJ
american_scientific_journal-3828	11	7	these	these	DET
american_scientific_journal-3828	11	8	algorithms	algorithm	NOUN
american_scientific_journal-3828	11	9	can	can	AUX
american_scientific_journal-3828	11	10	give	give	VERB
american_scientific_journal-3828	11	11	some	some	DET
american_scientific_journal-3828	11	12	problems	problem	NOUN
american_scientific_journal-3828	11	13	,	,	PUNCT
american_scientific_journal-3828	11	14	such	such	ADJ
american_scientific_journal-3828	11	15	as	as	ADP
american_scientific_journal-3828	11	16	numerical	numerical	ADJ
american_scientific_journal-3828	11	17	instabilities	instability	NOUN
american_scientific_journal-3828	11	18	,	,	PUNCT
american_scientific_journal-3828	11	19	oscillations	oscillation	NOUN
american_scientific_journal-3828	11	20	,	,	PUNCT
american_scientific_journal-3828	11	21	among	among	ADP
american_scientific_journal-3828	11	22	others	other	NOUN
american_scientific_journal-3828	11	23	.	.	PUNCT
american_scientific_journal-3828	12	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-3828	13	1	*	*	PUNCT
american_scientific_journal-3828	13	2	corresponding	correspond	VERB
american_scientific_journal-3828	13	3	author	author	NOUN
american_scientific_journal-3828	13	4	.	.	PUNCT
american_scientific_journal-3828	14	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-3828	14	2	american	american	PROPN
american_scientific_journal-3828	14	3	scientific	scientific	PROPN
american_scientific_journal-3828	14	4	research	research	NOUN
american_scientific_journal-3828	14	5	journal	journal	NOUN
american_scientific_journal-3828	14	6	for	for	ADP
american_scientific_journal-3828	14	7	engineering	engineering	NOUN
american_scientific_journal-3828	14	8	,	,	PUNCT
american_scientific_journal-3828	14	9	technology	technology	NOUN
american_scientific_journal-3828	14	10	,	,	PUNCT
american_scientific_journal-3828	14	11	and	and	CCONJ
american_scientific_journal-3828	14	12	sciences	science	NOUN
american_scientific_journal-3828	14	13	(	(	PUNCT
american_scientific_journal-3828	14	14	asrjets	asrjet	NOUN
american_scientific_journal-3828	14	15	)	)	PUNCT
american_scientific_journal-3828	14	16	(	(	PUNCT
american_scientific_journal-3828	14	17	2018	2018	NUM
american_scientific_journal-3828	14	18	)	)	PUNCT
american_scientific_journal-3828	14	19	volume	volume	NOUN
american_scientific_journal-3828	14	20	47	47	NUM
american_scientific_journal-3828	14	21	,	,	PUNCT
american_scientific_journal-3828	14	22	no	no	DET
american_scientific_journal-3828	14	23	1	1	NUM
american_scientific_journal-3828	14	24	,	,	PUNCT
american_scientific_journal-3828	14	25	pp	pp	ADV
american_scientific_journal-3828	14	26	103	103	NUM
american_scientific_journal-3828	14	27	-	-	SYM
american_scientific_journal-3828	14	28	115	115	NUM
american_scientific_journal-3828	14	29	104	104	NUM
american_scientific_journal-3828	14	30	this	this	PRON
american_scientific_journal-3828	14	31	means	mean	VERB
american_scientific_journal-3828	14	32	that	that	SCONJ
american_scientific_journal-3828	14	33	the	the	DET
american_scientific_journal-3828	14	34	numerical	numerical	ADJ
american_scientific_journal-3828	14	35	solution	solution	NOUN
american_scientific_journal-3828	14	36	may	may	AUX
american_scientific_journal-3828	14	37	not	not	PART
american_scientific_journal-3828	14	38	correspond	correspond	VERB
american_scientific_journal-3828	14	39	to	to	ADP
american_scientific_journal-3828	14	40	the	the	DET
american_scientific_journal-3828	14	41	real	real	ADJ
american_scientific_journal-3828	14	42	solution	solution	NOUN
american_scientific_journal-3828	14	43	of	of	ADP
american_scientific_journal-3828	14	44	the	the	DET
american_scientific_journal-3828	14	45	original	original	ADJ
american_scientific_journal-3828	14	46	odes	ode	NOUN
american_scientific_journal-3828	14	47	[	[	X
american_scientific_journal-3828	14	48	16	16	NUM
american_scientific_journal-3828	14	49	]	]	PUNCT
american_scientific_journal-3828	14	50	.	.	PUNCT
american_scientific_journal-3828	15	1	therefore	therefore	ADV
american_scientific_journal-3828	15	2	,	,	PUNCT
american_scientific_journal-3828	15	3	analytical	analytical	ADJ
american_scientific_journal-3828	15	4	approximations	approximation	NOUN
american_scientific_journal-3828	15	5	can	can	AUX
american_scientific_journal-3828	15	6	be	be	AUX
american_scientific_journal-3828	15	7	an	an	DET
american_scientific_journal-3828	15	8	interesting	interesting	ADJ
american_scientific_journal-3828	15	9	alternative	alternative	NOUN
american_scientific_journal-3828	15	10	to	to	ADP
american_scientific_journal-3828	15	11	the	the	DET
american_scientific_journal-3828	15	12	pure	pure	ADJ
american_scientific_journal-3828	15	13	numerical	numerical	ADJ
american_scientific_journal-3828	15	14	solutions	solution	NOUN
american_scientific_journal-3828	15	15	.	.	PUNCT
american_scientific_journal-3828	16	1	among	among	ADP
american_scientific_journal-3828	16	2	the	the	DET
american_scientific_journal-3828	16	3	different	different	ADJ
american_scientific_journal-3828	16	4	methods	method	NOUN
american_scientific_journal-3828	16	5	that	that	PRON
american_scientific_journal-3828	16	6	have	have	AUX
american_scientific_journal-3828	16	7	been	be	AUX
american_scientific_journal-3828	16	8	developed	develop	VERB
american_scientific_journal-3828	16	9	to	to	PART
american_scientific_journal-3828	16	10	obtain	obtain	VERB
american_scientific_journal-3828	16	11	approximations	approximation	NOUN
american_scientific_journal-3828	16	12	for	for	ADP
american_scientific_journal-3828	16	13	the	the	DET
american_scientific_journal-3828	16	14	solution	solution	NOUN
american_scientific_journal-3828	16	15	of	of	ADP
american_scientific_journal-3828	16	16	odes	ode	NOUN
american_scientific_journal-3828	16	17	,	,	PUNCT
american_scientific_journal-3828	16	18	the	the	DET
american_scientific_journal-3828	16	19	homotopy	homotopy	NOUN
american_scientific_journal-3828	16	20	perturbation	perturbation	NOUN
american_scientific_journal-3828	16	21	method	method	NOUN
american_scientific_journal-3828	16	22	is	be	AUX
american_scientific_journal-3828	16	23	widely	widely	ADV
american_scientific_journal-3828	16	24	used	use	VERB
american_scientific_journal-3828	16	25	,	,	PUNCT
american_scientific_journal-3828	16	26	by	by	ADP
american_scientific_journal-3828	16	27	its	its	PRON
american_scientific_journal-3828	16	28	simplicity	simplicity	NOUN
american_scientific_journal-3828	16	29	and	and	CCONJ
american_scientific_journal-3828	16	30	accuracy	accuracy	NOUN
american_scientific_journal-3828	16	31	of	of	ADP
american_scientific_journal-3828	16	32	approximations	approximation	NOUN
american_scientific_journal-3828	16	33	.	.	PUNCT
american_scientific_journal-3828	17	1	in	in	ADP
american_scientific_journal-3828	17	2	this	this	DET
american_scientific_journal-3828	17	3	work	work	NOUN
american_scientific_journal-3828	17	4	,	,	PUNCT
american_scientific_journal-3828	17	5	we	we	PRON
american_scientific_journal-3828	17	6	propose	propose	VERB
american_scientific_journal-3828	17	7	hpm	hpm	ADJ
american_scientific_journal-3828	17	8	approximations	approximation	NOUN
american_scientific_journal-3828	17	9	for	for	ADP
american_scientific_journal-3828	17	10	a	a	DET
american_scientific_journal-3828	17	11	golf	golf	NOUN
american_scientific_journal-3828	17	12	ball	ball	NOUN
american_scientific_journal-3828	17	13	trajectory	trajectory	NOUN
american_scientific_journal-3828	17	14	model	model	NOUN
american_scientific_journal-3828	17	15	and	and	CCONJ
american_scientific_journal-3828	17	16	a	a	DET
american_scientific_journal-3828	17	17	mercury	mercury	NOUN
american_scientific_journal-3828	17	18	orbit	orbit	NOUN
american_scientific_journal-3828	17	19	’s	’s	PART
american_scientific_journal-3828	17	20	model	model	NOUN
american_scientific_journal-3828	17	21	.	.	PUNCT
american_scientific_journal-3828	18	1	furthermore	furthermore	ADV
american_scientific_journal-3828	18	2	,	,	PUNCT
american_scientific_journal-3828	18	3	to	to	PART
american_scientific_journal-3828	18	4	enlarge	enlarge	VERB
american_scientific_journal-3828	18	5	the	the	DET
american_scientific_journal-3828	18	6	domain	domain	NOUN
american_scientific_journal-3828	18	7	of	of	ADP
american_scientific_journal-3828	18	8	convergence	convergence	NOUN
american_scientific_journal-3828	18	9	of	of	ADP
american_scientific_journal-3828	18	10	the	the	DET
american_scientific_journal-3828	18	11	first	first	ADJ
american_scientific_journal-3828	18	12	case	case	NOUN
american_scientific_journal-3828	18	13	study	study	NOUN
american_scientific_journal-3828	18	14	,	,	PUNCT
american_scientific_journal-3828	18	15	we	we	PRON
american_scientific_journal-3828	18	16	apply	apply	VERB
american_scientific_journal-3828	18	17	the	the	DET
american_scientific_journal-3828	18	18	laplace	laplace	NOUN
american_scientific_journal-3828	18	19	-	-	PUNCT
american_scientific_journal-3828	18	20	padé	padé	NOUN
american_scientific_journal-3828	18	21	aftertreatment	aftertreatment	NOUN
american_scientific_journal-3828	18	22	to	to	ADP
american_scientific_journal-3828	18	23	the	the	DET
american_scientific_journal-3828	18	24	hpm	hpm	NOUN
american_scientific_journal-3828	18	25	series	series	NOUN
american_scientific_journal-3828	18	26	solution	solution	NOUN
american_scientific_journal-3828	18	27	.	.	PUNCT
american_scientific_journal-3828	19	1	for	for	ADP
american_scientific_journal-3828	19	2	the	the	DET
american_scientific_journal-3828	19	3	second	second	ADJ
american_scientific_journal-3828	19	4	case	case	NOUN
american_scientific_journal-3828	19	5	study	study	NOUN
american_scientific_journal-3828	19	6	,	,	PUNCT
american_scientific_journal-3828	19	7	we	we	PRON
american_scientific_journal-3828	19	8	propose	propose	VERB
american_scientific_journal-3828	19	9	an	an	DET
american_scientific_journal-3828	19	10	approximation	approximation	NOUN
american_scientific_journal-3828	19	11	in	in	ADP
american_scientific_journal-3828	19	12	good	good	ADJ
american_scientific_journal-3828	19	13	agreement	agreement	NOUN
american_scientific_journal-3828	19	14	with	with	ADP
american_scientific_journal-3828	19	15	numerical	numerical	ADJ
american_scientific_journal-3828	19	16	results	result	NOUN
american_scientific_journal-3828	19	17	.	.	PUNCT
american_scientific_journal-3828	20	1	this	this	DET
american_scientific_journal-3828	20	2	paper	paper	NOUN
american_scientific_journal-3828	20	3	is	be	AUX
american_scientific_journal-3828	20	4	organized	organize	VERB
american_scientific_journal-3828	20	5	as	as	SCONJ
american_scientific_journal-3828	20	6	follows	follow	VERB
american_scientific_journal-3828	20	7	.	.	PUNCT
american_scientific_journal-3828	21	1	in	in	ADP
american_scientific_journal-3828	21	2	section	section	NOUN
american_scientific_journal-3828	21	3	2	2	NUM
american_scientific_journal-3828	21	4	,	,	PUNCT
american_scientific_journal-3828	21	5	we	we	PRON
american_scientific_journal-3828	21	6	provide	provide	VERB
american_scientific_journal-3828	21	7	a	a	DET
american_scientific_journal-3828	21	8	brief	brief	ADJ
american_scientific_journal-3828	21	9	review	review	NOUN
american_scientific_journal-3828	21	10	of	of	ADP
american_scientific_journal-3828	21	11	hpm	hpm	NOUN
american_scientific_journal-3828	21	12	method	method	NOUN
american_scientific_journal-3828	21	13	.	.	PUNCT
american_scientific_journal-3828	22	1	section	section	NOUN
american_scientific_journal-3828	22	2	3	3	NUM
american_scientific_journal-3828	22	3	presents	present	VERB
american_scientific_journal-3828	22	4	the	the	DET
american_scientific_journal-3828	22	5	basic	basic	ADJ
american_scientific_journal-3828	22	6	concept	concept	NOUN
american_scientific_journal-3828	22	7	of	of	ADP
american_scientific_journal-3828	22	8	laplace	laplace	NOUN
american_scientific_journal-3828	22	9	-	-	PUNCT
american_scientific_journal-3828	22	10	padé	padé	NOUN
american_scientific_journal-3828	22	11	resummation	resummation	NOUN
american_scientific_journal-3828	22	12	method	method	NOUN
american_scientific_journal-3828	22	13	.	.	PUNCT
american_scientific_journal-3828	23	1	in	in	ADP
american_scientific_journal-3828	23	2	section	section	NOUN
american_scientific_journal-3828	23	3	4	4	NUM
american_scientific_journal-3828	23	4	,	,	PUNCT
american_scientific_journal-3828	23	5	we	we	PRON
american_scientific_journal-3828	23	6	introduce	introduce	VERB
american_scientific_journal-3828	23	7	the	the	DET
american_scientific_journal-3828	23	8	mathematical	mathematical	ADJ
american_scientific_journal-3828	23	9	models	model	NOUN
american_scientific_journal-3828	23	10	of	of	ADP
american_scientific_journal-3828	23	11	both	both	DET
american_scientific_journal-3828	23	12	cases	case	NOUN
american_scientific_journal-3828	23	13	study	study	VERB
american_scientific_journal-3828	23	14	and	and	CCONJ
american_scientific_journal-3828	23	15	the	the	DET
american_scientific_journal-3828	23	16	hpm	hpm	NOUN
american_scientific_journal-3828	23	17	approximations	approximation	NOUN
american_scientific_journal-3828	23	18	.	.	PUNCT
american_scientific_journal-3828	24	1	next	next	ADV
american_scientific_journal-3828	24	2	,	,	PUNCT
american_scientific_journal-3828	24	3	section	section	NOUN
american_scientific_journal-3828	24	4	5	5	NUM
american_scientific_journal-3828	24	5	shows	show	VERB
american_scientific_journal-3828	24	6	results	result	NOUN
american_scientific_journal-3828	24	7	and	and	CCONJ
american_scientific_journal-3828	24	8	discusses	discuss	VERB
american_scientific_journal-3828	24	9	our	our	PRON
american_scientific_journal-3828	24	10	findings	finding	NOUN
american_scientific_journal-3828	24	11	.	.	PUNCT
american_scientific_journal-3828	25	1	finally	finally	ADV
american_scientific_journal-3828	25	2	,	,	PUNCT
american_scientific_journal-3828	25	3	a	a	DET
american_scientific_journal-3828	25	4	concluding	conclude	VERB
american_scientific_journal-3828	25	5	remark	remark	NOUN
american_scientific_journal-3828	25	6	is	be	AUX
american_scientific_journal-3828	25	7	given	give	VERB
american_scientific_journal-3828	25	8	in	in	ADP
american_scientific_journal-3828	25	9	section	section	NOUN
american_scientific_journal-3828	25	10	6	6	NUM
american_scientific_journal-3828	25	11	.	.	NOUN
american_scientific_journal-3828	25	12	2	2	NUM
american_scientific_journal-3828	25	13	.	.	NUM
american_scientific_journal-3828	25	14	basic	basic	ADJ
american_scientific_journal-3828	25	15	idea	idea	NOUN
american_scientific_journal-3828	25	16	of	of	ADP
american_scientific_journal-3828	25	17	hpm	hpm	NOUN
american_scientific_journal-3828	25	18	method	method	NOUN
american_scientific_journal-3828	25	19	in	in	ADP
american_scientific_journal-3828	25	20	the	the	DET
american_scientific_journal-3828	25	21	hpm	hpm	NOUN
american_scientific_journal-3828	25	22	method	method	NOUN
american_scientific_journal-3828	25	23	[	[	X
american_scientific_journal-3828	25	24	29	29	NUM
american_scientific_journal-3828	25	25	,	,	PUNCT
american_scientific_journal-3828	25	26	30	30	NUM
american_scientific_journal-3828	25	27	,	,	PUNCT
american_scientific_journal-3828	25	28	10	10	NUM
american_scientific_journal-3828	25	29	,	,	PUNCT
american_scientific_journal-3828	25	30	9	9	NUM
american_scientific_journal-3828	25	31	,	,	PUNCT
american_scientific_journal-3828	25	32	8	8	NUM
american_scientific_journal-3828	25	33	,	,	PUNCT
american_scientific_journal-3828	25	34	31	31	NUM
american_scientific_journal-3828	25	35	,	,	PUNCT
american_scientific_journal-3828	25	36	14	14	NUM
american_scientific_journal-3828	25	37	,	,	PUNCT
american_scientific_journal-3828	25	38	12	12	NUM
american_scientific_journal-3828	25	39	,	,	PUNCT
american_scientific_journal-3828	25	40	32	32	NUM
american_scientific_journal-3828	25	41	,	,	PUNCT
american_scientific_journal-3828	25	42	5	5	NUM
american_scientific_journal-3828	25	43	,	,	PUNCT
american_scientific_journal-3828	25	44	26	26	NUM
american_scientific_journal-3828	25	45	,	,	PUNCT
american_scientific_journal-3828	25	46	27	27	NUM
american_scientific_journal-3828	25	47	,	,	PUNCT
american_scientific_journal-3828	25	48	24	24	NUM
american_scientific_journal-3828	25	49	,	,	PUNCT
american_scientific_journal-3828	25	50	1	1	NUM
american_scientific_journal-3828	25	51	,	,	PUNCT
american_scientific_journal-3828	25	52	15	15	NUM
american_scientific_journal-3828	25	53	,	,	PUNCT
american_scientific_journal-3828	25	54	25	25	NUM
american_scientific_journal-3828	25	55	,	,	PUNCT
american_scientific_journal-3828	25	56	33	33	NUM
american_scientific_journal-3828	25	57	,	,	PUNCT
american_scientific_journal-3828	25	58	23	23	NUM
american_scientific_journal-3828	25	59	,	,	PUNCT
american_scientific_journal-3828	25	60	7	7	NUM
american_scientific_journal-3828	25	61	]	]	PUNCT
american_scientific_journal-3828	25	62	is	be	AUX
american_scientific_journal-3828	25	63	considered	consider	VERB
american_scientific_journal-3828	25	64	that	that	SCONJ
american_scientific_journal-3828	25	65	a	a	DET
american_scientific_journal-3828	25	66	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	25	67	differential	differential	ADJ
american_scientific_journal-3828	25	68	equation	equation	NOUN
american_scientific_journal-3828	25	69	can	can	AUX
american_scientific_journal-3828	25	70	be	be	AUX
american_scientific_journal-3828	25	71	expressed	express	VERB
american_scientific_journal-3828	25	72	as	as	ADP
american_scientific_journal-3828	25	73	(	(	PUNCT
american_scientific_journal-3828	25	74	)	)	PUNCT
american_scientific_journal-3828	25	75	(	(	PUNCT
american_scientific_journal-3828	25	76	)	)	PUNCT
american_scientific_journal-3828	25	77	=	=	SYM
american_scientific_journal-3828	25	78	0	0	NUM
american_scientific_journal-3828	25	79	,	,	PUNCT
american_scientific_journal-3828	25	80	where	where	SCONJ
american_scientific_journal-3828	25	81	,	,	PUNCT
american_scientific_journal-3828	25	82	a	a	DET
american_scientific_journal-3828	25	83	u	u	NOUN
american_scientific_journal-3828	25	84	f	f	PROPN
american_scientific_journal-3828	25	85	r	r	NOUN
american_scientific_journal-3828	25	86	r−	r−	PROPN
american_scientific_journal-3828	25	87	∈ω	∈ω	NOUN
american_scientific_journal-3828	25	88	(	(	PUNCT
american_scientific_journal-3828	25	89	1	1	NUM
american_scientific_journal-3828	25	90	)	)	PUNCT
american_scientific_journal-3828	25	91	with	with	ADP
american_scientific_journal-3828	25	92	the	the	DET
american_scientific_journal-3828	25	93	boundary	boundary	ADJ
american_scientific_journal-3828	25	94	condition	condition	NOUN
american_scientific_journal-3828	25	95	(	(	PUNCT
american_scientific_journal-3828	25	96	,	,	PUNCT
american_scientific_journal-3828	25	97	)	)	PUNCT
american_scientific_journal-3828	26	1	=	=	SYM
american_scientific_journal-3828	26	2	0	0	NUM
american_scientific_journal-3828	26	3	,	,	PUNCT
american_scientific_journal-3828	26	4	where	where	SCONJ
american_scientific_journal-3828	26	5	,	,	PUNCT
american_scientific_journal-3828	26	6	ub	ub	INTJ
american_scientific_journal-3828	26	7	u	u	NOUN
american_scientific_journal-3828	26	8	r	r	NOUN
american_scientific_journal-3828	26	9	h	h	NOUN
american_scientific_journal-3828	26	10	∂	∂	NOUN
american_scientific_journal-3828	26	11	∈γ	∈γ	NUM
american_scientific_journal-3828	26	12	∂	∂	NUM
american_scientific_journal-3828	26	13	(	(	PUNCT
american_scientific_journal-3828	26	14	2	2	NUM
american_scientific_journal-3828	26	15	)	)	PUNCT
american_scientific_journal-3828	26	16	where	where	SCONJ
american_scientific_journal-3828	26	17	a	a	PRON
american_scientific_journal-3828	26	18	is	be	AUX
american_scientific_journal-3828	26	19	a	a	DET
american_scientific_journal-3828	26	20	general	general	ADJ
american_scientific_journal-3828	26	21	differential	differential	NOUN
american_scientific_journal-3828	26	22	operator	operator	NOUN
american_scientific_journal-3828	26	23	,	,	PUNCT
american_scientific_journal-3828	26	24	(	(	PUNCT
american_scientific_journal-3828	26	25	)	)	PUNCT
american_scientific_journal-3828	26	26	f	f	NOUN
american_scientific_journal-3828	26	27	r	r	NOUN
american_scientific_journal-3828	26	28	is	be	AUX
american_scientific_journal-3828	26	29	a	a	DET
american_scientific_journal-3828	26	30	known	know	VERB
american_scientific_journal-3828	26	31	analytic	analytic	ADJ
american_scientific_journal-3828	26	32	function	function	NOUN
american_scientific_journal-3828	26	33	,	,	PUNCT
american_scientific_journal-3828	26	34	b	b	PROPN
american_scientific_journal-3828	26	35	is	be	AUX
american_scientific_journal-3828	26	36	a	a	DET
american_scientific_journal-3828	26	37	boundary	boundary	ADJ
american_scientific_journal-3828	26	38	operator	operator	NOUN
american_scientific_journal-3828	26	39	,	,	PUNCT
american_scientific_journal-3828	26	40	and	and	CCONJ
american_scientific_journal-3828	26	41	γ	γ	X
american_scientific_journal-3828	26	42	is	be	AUX
american_scientific_journal-3828	26	43	the	the	DET
american_scientific_journal-3828	26	44	boundary	boundary	NOUN
american_scientific_journal-3828	26	45	of	of	ADP
american_scientific_journal-3828	26	46	the	the	DET
american_scientific_journal-3828	26	47	domain	domain	NOUN
american_scientific_journal-3828	26	48	ω	ω	NOUN
american_scientific_journal-3828	26	49	.	.	PUNCT
american_scientific_journal-3828	27	1	the	the	DET
american_scientific_journal-3828	27	2	a	a	DET
american_scientific_journal-3828	27	3	operator	operator	NOUN
american_scientific_journal-3828	27	4	,	,	PUNCT
american_scientific_journal-3828	27	5	generally	generally	ADV
american_scientific_journal-3828	27	6	,	,	PUNCT
american_scientific_journal-3828	27	7	can	can	AUX
american_scientific_journal-3828	27	8	be	be	AUX
american_scientific_journal-3828	27	9	divided	divide	VERB
american_scientific_journal-3828	27	10	into	into	ADP
american_scientific_journal-3828	27	11	two	two	NUM
american_scientific_journal-3828	27	12	operators	operator	NOUN
american_scientific_journal-3828	27	13	,	,	PUNCT
american_scientific_journal-3828	27	14	l	l	NOUN
american_scientific_journal-3828	27	15	and	and	CCONJ
american_scientific_journal-3828	27	16	n	n	NOUN
american_scientific_journal-3828	27	17	,	,	PUNCT
american_scientific_journal-3828	27	18	where	where	SCONJ
american_scientific_journal-3828	27	19	l	l	NOUN
american_scientific_journal-3828	27	20	is	be	AUX
american_scientific_journal-3828	27	21	the	the	DET
american_scientific_journal-3828	27	22	linear	linear	ADJ
american_scientific_journal-3828	27	23	operator	operator	NOUN
american_scientific_journal-3828	27	24	and	and	CCONJ
american_scientific_journal-3828	27	25	n	n	NOUN
american_scientific_journal-3828	27	26	is	be	AUX
american_scientific_journal-3828	27	27	the	the	DET
american_scientific_journal-3828	27	28	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	27	29	operator	operator	NOUN
american_scientific_journal-3828	27	30	.	.	PUNCT
american_scientific_journal-3828	28	1	hence	hence	ADV
american_scientific_journal-3828	28	2	,	,	PUNCT
american_scientific_journal-3828	28	3	(	(	PUNCT
american_scientific_journal-3828	28	4	1	1	X
american_scientific_journal-3828	28	5	)	)	PUNCT
american_scientific_journal-3828	28	6	can	can	AUX
american_scientific_journal-3828	28	7	be	be	AUX
american_scientific_journal-3828	28	8	rewritten	rewrite	VERB
american_scientific_journal-3828	28	9	as	as	ADP
american_scientific_journal-3828	28	10	(	(	PUNCT
american_scientific_journal-3828	28	11	)	)	PUNCT
american_scientific_journal-3828	28	12	(	(	PUNCT
american_scientific_journal-3828	28	13	)	)	PUNCT
american_scientific_journal-3828	28	14	(	(	PUNCT
american_scientific_journal-3828	28	15	)	)	PUNCT
american_scientific_journal-3828	29	1	=	=	SYM
american_scientific_journal-3828	29	2	0.l	0.l	NUM
american_scientific_journal-3828	29	3	u	u	NOUN
american_scientific_journal-3828	29	4	n	n	CCONJ
american_scientific_journal-3828	29	5	u	u	NOUN
american_scientific_journal-3828	29	6	f	f	PROPN
american_scientific_journal-3828	29	7	r+	r+	PUNCT
american_scientific_journal-3828	29	8	−	−	PROPN
american_scientific_journal-3828	29	9	(	(	PUNCT
american_scientific_journal-3828	29	10	3	3	X
american_scientific_journal-3828	29	11	)	)	PUNCT
american_scientific_journal-3828	29	12	now	now	ADV
american_scientific_journal-3828	29	13	,	,	PUNCT
american_scientific_journal-3828	29	14	the	the	DET
american_scientific_journal-3828	29	15	homotopy	homotopy	NOUN
american_scientific_journal-3828	29	16	function	function	NOUN
american_scientific_journal-3828	29	17	is	be	AUX
american_scientific_journal-3828	29	18	0	0	NUM
american_scientific_journal-3828	29	19	(	(	PUNCT
american_scientific_journal-3828	29	20	,	,	PUNCT
american_scientific_journal-3828	29	21	)	)	PUNCT
american_scientific_journal-3828	29	22	=	=	PUNCT
american_scientific_journal-3828	30	1	(	(	PUNCT
american_scientific_journal-3828	30	2	1	1	NUM
american_scientific_journal-3828	30	3	)	)	PUNCT
american_scientific_journal-3828	30	4	[	[	PUNCT
american_scientific_journal-3828	30	5	(	(	PUNCT
american_scientific_journal-3828	30	6	)	)	PUNCT
american_scientific_journal-3828	30	7	(	(	PUNCT
american_scientific_journal-3828	30	8	)	)	PUNCT
american_scientific_journal-3828	30	9	]	]	PUNCT
american_scientific_journal-3828	30	10	(	(	PUNCT
american_scientific_journal-3828	30	11	(	(	PUNCT
american_scientific_journal-3828	30	12	)	)	PUNCT
american_scientific_journal-3828	30	13	(	(	PUNCT
american_scientific_journal-3828	30	14	)	)	PUNCT
american_scientific_journal-3828	30	15	(	(	PUNCT
american_scientific_journal-3828	30	16	)	)	PUNCT
american_scientific_journal-3828	30	17	)	)	PUNCT
american_scientific_journal-3828	31	1	=	=	PUNCT
american_scientific_journal-3828	31	2	0	0	NUM
american_scientific_journal-3828	31	3	,	,	PUNCT
american_scientific_journal-3828	32	1	[	[	X
american_scientific_journal-3828	32	2	0,1],h	0,1],h	NOUN
american_scientific_journal-3828	32	3	v	v	ADP
american_scientific_journal-3828	32	4	p	p	NOUN
american_scientific_journal-3828	32	5	p	p	NOUN
american_scientific_journal-3828	32	6	l	l	NOUN
american_scientific_journal-3828	32	7	v	v	NOUN
american_scientific_journal-3828	32	8	l	l	NOUN
american_scientific_journal-3828	32	9	u	u	NOUN
american_scientific_journal-3828	32	10	p	p	PROPN
american_scientific_journal-3828	32	11	l	l	PROPN
american_scientific_journal-3828	32	12	v	v	NOUN
american_scientific_journal-3828	32	13	n	n	SYM
american_scientific_journal-3828	32	14	v	v	NOUN
american_scientific_journal-3828	32	15	f	f	NOUN
american_scientific_journal-3828	32	16	r	r	NOUN
american_scientific_journal-3828	32	17	p−	p−	NOUN
american_scientific_journal-3828	32	18	−	−	NOUN
american_scientific_journal-3828	33	1	+	+	CCONJ
american_scientific_journal-3828	33	2	+	+	CCONJ
american_scientific_journal-3828	33	3	−	−	PROPN
american_scientific_journal-3828	34	1	∈	∈	NOUN
american_scientific_journal-3828	34	2	(	(	PUNCT
american_scientific_journal-3828	34	3	4	4	NUM
american_scientific_journal-3828	34	4	)	)	PUNCT
american_scientific_journal-3828	34	5	where	where	SCONJ
american_scientific_journal-3828	34	6	0u	0u	PROPN
american_scientific_journal-3828	34	7	is	be	AUX
american_scientific_journal-3828	34	8	the	the	DET
american_scientific_journal-3828	34	9	initial	initial	ADJ
american_scientific_journal-3828	34	10	approximation	approximation	NOUN
american_scientific_journal-3828	34	11	of	of	ADP
american_scientific_journal-3828	34	12	(	(	PUNCT
american_scientific_journal-3828	34	13	3	3	NUM
american_scientific_journal-3828	34	14	)	)	PUNCT
american_scientific_journal-3828	34	15	which	which	PRON
american_scientific_journal-3828	34	16	satisfies	satisfy	VERB
american_scientific_journal-3828	34	17	the	the	DET
american_scientific_journal-3828	34	18	boundary	boundary	ADJ
american_scientific_journal-3828	34	19	conditions	condition	NOUN
american_scientific_journal-3828	34	20	and	and	CCONJ
american_scientific_journal-3828	34	21	p	p	NOUN
american_scientific_journal-3828	34	22	is	be	AUX
american_scientific_journal-3828	34	23	known	know	VERB
american_scientific_journal-3828	34	24	as	as	ADP
american_scientific_journal-3828	34	25	the	the	DET
american_scientific_journal-3828	34	26	perturbation	perturbation	NOUN
american_scientific_journal-3828	34	27	homotopy	homotopy	NOUN
american_scientific_journal-3828	34	28	parameter	parameter	NOUN
american_scientific_journal-3828	34	29	.	.	PUNCT
american_scientific_journal-3828	35	1	analysing	analyse	VERB
american_scientific_journal-3828	35	2	(	(	PUNCT
american_scientific_journal-3828	35	3	4	4	X
american_scientific_journal-3828	35	4	)	)	PUNCT
american_scientific_journal-3828	35	5	can	can	AUX
american_scientific_journal-3828	35	6	be	be	AUX
american_scientific_journal-3828	35	7	concluded	conclude	VERB
american_scientific_journal-3828	35	8	that	that	SCONJ
american_scientific_journal-3828	35	9	american	american	ADJ
american_scientific_journal-3828	35	10	scientific	scientific	ADJ
american_scientific_journal-3828	35	11	research	research	NOUN
american_scientific_journal-3828	35	12	journal	journal	NOUN
american_scientific_journal-3828	35	13	for	for	ADP
american_scientific_journal-3828	35	14	engineering	engineering	NOUN
american_scientific_journal-3828	35	15	,	,	PUNCT
american_scientific_journal-3828	35	16	technology	technology	NOUN
american_scientific_journal-3828	35	17	,	,	PUNCT
american_scientific_journal-3828	35	18	and	and	CCONJ
american_scientific_journal-3828	35	19	sciences	science	NOUN
american_scientific_journal-3828	35	20	(	(	PUNCT
american_scientific_journal-3828	35	21	asrjets	asrjet	NOUN
american_scientific_journal-3828	35	22	)	)	PUNCT
american_scientific_journal-3828	35	23	(	(	PUNCT
american_scientific_journal-3828	35	24	2018	2018	NUM
american_scientific_journal-3828	35	25	)	)	PUNCT
american_scientific_journal-3828	35	26	volume	volume	NOUN
american_scientific_journal-3828	35	27	47	47	NUM
american_scientific_journal-3828	35	28	,	,	PUNCT
american_scientific_journal-3828	35	29	no	no	DET
american_scientific_journal-3828	35	30	1	1	NUM
american_scientific_journal-3828	35	31	,	,	PUNCT
american_scientific_journal-3828	35	32	pp	pp	ADV
american_scientific_journal-3828	35	33	103	103	NUM
american_scientific_journal-3828	35	34	-	-	SYM
american_scientific_journal-3828	35	35	115	115	NUM
american_scientific_journal-3828	35	36	105	105	NUM
american_scientific_journal-3828	35	37	0	0	NUM
american_scientific_journal-3828	35	38	(	(	PUNCT
american_scientific_journal-3828	35	39	,	,	PUNCT
american_scientific_journal-3828	35	40	0	0	NUM
american_scientific_journal-3828	35	41	)	)	PUNCT
american_scientific_journal-3828	35	42	=	=	PRON
american_scientific_journal-3828	35	43	(	(	PUNCT
american_scientific_journal-3828	35	44	)	)	PUNCT
american_scientific_journal-3828	35	45	(	(	PUNCT
american_scientific_journal-3828	35	46	)	)	PUNCT
american_scientific_journal-3828	35	47	,	,	PUNCT
american_scientific_journal-3828	35	48	h	h	NOUN
american_scientific_journal-3828	35	49	v	v	ADP
american_scientific_journal-3828	35	50	l	l	NOUN
american_scientific_journal-3828	35	51	v	v	PROPN
american_scientific_journal-3828	35	52	l	l	PROPN
american_scientific_journal-3828	35	53	u−	u−	PROPN
american_scientific_journal-3828	35	54	(	(	PUNCT
american_scientific_journal-3828	35	55	5	5	NUM
american_scientific_journal-3828	35	56	)	)	PUNCT
american_scientific_journal-3828	35	57	(	(	PUNCT
american_scientific_journal-3828	35	58	,	,	PUNCT
american_scientific_journal-3828	35	59	1	1	X
american_scientific_journal-3828	35	60	)	)	PUNCT
american_scientific_journal-3828	35	61	=	=	PRON
american_scientific_journal-3828	35	62	(	(	PUNCT
american_scientific_journal-3828	35	63	)	)	PUNCT
american_scientific_journal-3828	35	64	(	(	PUNCT
american_scientific_journal-3828	35	65	)	)	PUNCT
american_scientific_journal-3828	35	66	(	(	PUNCT
american_scientific_journal-3828	35	67	)	)	PUNCT
american_scientific_journal-3828	35	68	.h	.h	NOUN
american_scientific_journal-3828	36	1	v	v	NUM
american_scientific_journal-3828	36	2	l	l	NOUN
american_scientific_journal-3828	36	3	v	v	ADP
american_scientific_journal-3828	36	4	n	n	CCONJ
american_scientific_journal-3828	36	5	v	v	NOUN
american_scientific_journal-3828	36	6	f	f	PROPN
american_scientific_journal-3828	36	7	r+	r+	PUNCT
american_scientific_journal-3828	36	8	−	−	PROPN
american_scientific_journal-3828	36	9	(	(	PUNCT
american_scientific_journal-3828	36	10	6	6	NUM
american_scientific_journal-3828	36	11	)	)	PUNCT
american_scientific_journal-3828	36	12	for	for	ADP
american_scientific_journal-3828	36	13	0p	0p	NUM
american_scientific_journal-3828	36	14	→	→	PUNCT
american_scientific_journal-3828	36	15	,	,	PUNCT
american_scientific_journal-3828	36	16	the	the	DET
american_scientific_journal-3828	36	17	homotopy	homotopy	NOUN
american_scientific_journal-3828	36	18	map	map	NOUN
american_scientific_journal-3828	36	19	(	(	PUNCT
american_scientific_journal-3828	36	20	4	4	NUM
american_scientific_journal-3828	36	21	)	)	PUNCT
american_scientific_journal-3828	36	22	is	be	AUX
american_scientific_journal-3828	36	23	reduced	reduce	VERB
american_scientific_journal-3828	36	24	to	to	ADP
american_scientific_journal-3828	36	25	the	the	DET
american_scientific_journal-3828	36	26	linear	linear	ADJ
american_scientific_journal-3828	36	27	problem	problem	NOUN
american_scientific_journal-3828	36	28	(	(	PUNCT
american_scientific_journal-3828	36	29	5	5	NUM
american_scientific_journal-3828	36	30	)	)	PUNCT
american_scientific_journal-3828	36	31	that	that	PRON
american_scientific_journal-3828	36	32	possesses	possess	VERB
american_scientific_journal-3828	36	33	a	a	DET
american_scientific_journal-3828	36	34	trivial	trivial	ADJ
american_scientific_journal-3828	36	35	solution	solution	NOUN
american_scientific_journal-3828	36	36	0u	0u	ADJ
american_scientific_journal-3828	36	37	.	.	PUNCT
american_scientific_journal-3828	37	1	moreover	moreover	ADV
american_scientific_journal-3828	37	2	,	,	PUNCT
american_scientific_journal-3828	37	3	for	for	ADP
american_scientific_journal-3828	37	4	1p	1p	NUM
american_scientific_journal-3828	37	5	→	→	SYM
american_scientific_journal-3828	37	6	,	,	PUNCT
american_scientific_journal-3828	37	7	the	the	DET
american_scientific_journal-3828	37	8	homotopy	homotopy	NOUN
american_scientific_journal-3828	37	9	map	map	NOUN
american_scientific_journal-3828	37	10	(	(	PUNCT
american_scientific_journal-3828	37	11	4	4	NUM
american_scientific_journal-3828	37	12	)	)	PUNCT
american_scientific_journal-3828	37	13	is	be	AUX
american_scientific_journal-3828	37	14	transformed	transform	VERB
american_scientific_journal-3828	37	15	into	into	ADP
american_scientific_journal-3828	37	16	the	the	DET
american_scientific_journal-3828	37	17	original	original	ADJ
american_scientific_journal-3828	37	18	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	37	19	problem	problem	NOUN
american_scientific_journal-3828	37	20	(	(	PUNCT
american_scientific_journal-3828	37	21	6	6	NUM
american_scientific_journal-3828	37	22	)	)	PUNCT
american_scientific_journal-3828	37	23	that	that	PRON
american_scientific_journal-3828	37	24	possesses	possess	VERB
american_scientific_journal-3828	37	25	the	the	DET
american_scientific_journal-3828	37	26	sought	seek	VERB
american_scientific_journal-3828	37	27	solution	solution	NOUN
american_scientific_journal-3828	37	28	.	.	PUNCT
american_scientific_journal-3828	38	1	furthermore	furthermore	ADV
american_scientific_journal-3828	38	2	,	,	PUNCT
american_scientific_journal-3828	38	3	we	we	PRON
american_scientific_journal-3828	38	4	assume	assume	VERB
american_scientific_journal-3828	38	5	that	that	SCONJ
american_scientific_journal-3828	38	6	the	the	DET
american_scientific_journal-3828	38	7	solution	solution	NOUN
american_scientific_journal-3828	38	8	of	of	ADP
american_scientific_journal-3828	38	9	(	(	PUNCT
american_scientific_journal-3828	38	10	4	4	NUM
american_scientific_journal-3828	38	11	)	)	PUNCT
american_scientific_journal-3828	38	12	can	can	AUX
american_scientific_journal-3828	38	13	be	be	AUX
american_scientific_journal-3828	38	14	written	write	VERB
american_scientific_journal-3828	38	15	as	as	ADP
american_scientific_journal-3828	38	16	a	a	DET
american_scientific_journal-3828	38	17	power	power	NOUN
american_scientific_journal-3828	38	18	series	series	NOUN
american_scientific_journal-3828	38	19	of	of	ADP
american_scientific_journal-3828	38	20	p	p	NOUN
american_scientific_journal-3828	38	21	0	0	NUM
american_scientific_journal-3828	38	22	1	1	NUM
american_scientific_journal-3828	38	23	2	2	NUM
american_scientific_journal-3828	38	24	0	0	NUM
american_scientific_journal-3828	38	25	1	1	NUM
american_scientific_journal-3828	38	26	2=	2=	NUM
american_scientific_journal-3828	38	27	.v	.v	ADJ
american_scientific_journal-3828	39	1	p	p	X
american_scientific_journal-3828	39	2	v	v	ADP
american_scientific_journal-3828	39	3	p	p	NOUN
american_scientific_journal-3828	39	4	v	v	ADP
american_scientific_journal-3828	39	5	p	p	NOUN
american_scientific_journal-3828	39	6	v+	v+	NOUN
american_scientific_journal-3828	40	1	+	+	PUNCT
american_scientific_journal-3828	40	2	+	+	ADJ
american_scientific_journal-3828	40	3			NOUN
american_scientific_journal-3828	40	4	(	(	PUNCT
american_scientific_journal-3828	40	5	7	7	NUM
american_scientific_journal-3828	40	6	)	)	PUNCT
american_scientific_journal-3828	40	7	adjusting	adjust	VERB
american_scientific_journal-3828	40	8	=	=	SYM
american_scientific_journal-3828	40	9	1p	1p	NUM
american_scientific_journal-3828	40	10	results	result	NOUN
american_scientific_journal-3828	40	11	that	that	SCONJ
american_scientific_journal-3828	40	12	the	the	DET
american_scientific_journal-3828	40	13	approximate	approximate	ADJ
american_scientific_journal-3828	40	14	solution	solution	NOUN
american_scientific_journal-3828	40	15	for	for	ADP
american_scientific_journal-3828	40	16	(	(	PUNCT
american_scientific_journal-3828	40	17	1	1	NUM
american_scientific_journal-3828	40	18	)	)	PUNCT
american_scientific_journal-3828	40	19	is	be	AUX
american_scientific_journal-3828	40	20	0	0	NUM
american_scientific_journal-3828	41	1	1	1	NUM
american_scientific_journal-3828	41	2	2	2	NUM
american_scientific_journal-3828	41	3	1	1	NUM
american_scientific_journal-3828	41	4	=	=	SYM
american_scientific_journal-3828	41	5	=	=	SYM
american_scientific_journal-3828	41	6	.lim	.lim	NOUN
american_scientific_journal-3828	42	1	p	p	X
american_scientific_journal-3828	42	2	u	u	PROPN
american_scientific_journal-3828	42	3	v	v	ADP
american_scientific_journal-3828	42	4	v	v	ADP
american_scientific_journal-3828	42	5	v	v	NOUN
american_scientific_journal-3828	42	6	v	v	NOUN
american_scientific_journal-3828	42	7	→	→	SYM
american_scientific_journal-3828	42	8	+	+	PUNCT
american_scientific_journal-3828	42	9	+	+	NUM
american_scientific_journal-3828	42	10	+	+	ADJ
american_scientific_journal-3828	42	11			NOUN
american_scientific_journal-3828	42	12	(	(	PUNCT
american_scientific_journal-3828	42	13	8)	8)	NUM
american_scientific_journal-3828	42	14	the	the	DET
american_scientific_journal-3828	42	15	series	series	NOUN
american_scientific_journal-3828	42	16	(	(	PUNCT
american_scientific_journal-3828	42	17	8)	8)	NUM
american_scientific_journal-3828	42	18	is	be	AUX
american_scientific_journal-3828	42	19	convergent	convergent	NOUN
american_scientific_journal-3828	42	20	on	on	ADP
american_scientific_journal-3828	42	21	most	most	ADJ
american_scientific_journal-3828	42	22	cases	case	NOUN
american_scientific_journal-3828	42	23	,	,	PUNCT
american_scientific_journal-3828	42	24	nevertheless	nevertheless	ADV
american_scientific_journal-3828	42	25	,	,	PUNCT
american_scientific_journal-3828	42	26	the	the	DET
american_scientific_journal-3828	42	27	convergence	convergence	NOUN
american_scientific_journal-3828	42	28	depends	depend	VERB
american_scientific_journal-3828	42	29	of	of	ADP
american_scientific_journal-3828	42	30	the	the	DET
american_scientific_journal-3828	42	31	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	42	32	operator	operator	NOUN
american_scientific_journal-3828	42	33	n	n	CCONJ
american_scientific_journal-3828	42	34	[	[	X
american_scientific_journal-3828	42	35	29	29	NUM
american_scientific_journal-3828	42	36	,	,	PUNCT
american_scientific_journal-3828	42	37	30	30	NUM
american_scientific_journal-3828	42	38	,	,	PUNCT
american_scientific_journal-3828	42	39	10	10	NUM
american_scientific_journal-3828	42	40	,	,	PUNCT
american_scientific_journal-3828	42	41	9	9	NUM
american_scientific_journal-3828	42	42	,	,	PUNCT
american_scientific_journal-3828	42	43	8	8	NUM
american_scientific_journal-3828	42	44	,	,	PUNCT
american_scientific_journal-3828	42	45	27	27	NUM
american_scientific_journal-3828	42	46	]	]	PUNCT
american_scientific_journal-3828	42	47	.	.	PUNCT
american_scientific_journal-3828	43	1	3	3	X
american_scientific_journal-3828	43	2	.	.	X
american_scientific_journal-3828	43	3	laplace	laplace	NOUN
american_scientific_journal-3828	43	4	-	-	PUNCT
american_scientific_journal-3828	43	5	padé	padé	NOUN
american_scientific_journal-3828	43	6	resummation	resummation	NOUN
american_scientific_journal-3828	43	7	method	method	NOUN
american_scientific_journal-3828	43	8	several	several	ADJ
american_scientific_journal-3828	43	9	approximate	approximate	ADJ
american_scientific_journal-3828	43	10	methods	method	NOUN
american_scientific_journal-3828	43	11	provide	provide	VERB
american_scientific_journal-3828	43	12	power	power	NOUN
american_scientific_journal-3828	43	13	series	series	NOUN
american_scientific_journal-3828	43	14	solutions	solution	NOUN
american_scientific_journal-3828	43	15	(	(	PUNCT
american_scientific_journal-3828	43	16	polynomial	polynomial	ADJ
american_scientific_journal-3828	43	17	)	)	PUNCT
american_scientific_journal-3828	43	18	.	.	PUNCT
american_scientific_journal-3828	44	1	nevertheless	nevertheless	ADV
american_scientific_journal-3828	44	2	,	,	PUNCT
american_scientific_journal-3828	44	3	sometimes	sometimes	ADV
american_scientific_journal-3828	44	4	,	,	PUNCT
american_scientific_journal-3828	44	5	this	this	DET
american_scientific_journal-3828	44	6	type	type	NOUN
american_scientific_journal-3828	44	7	of	of	ADP
american_scientific_journal-3828	44	8	solutions	solution	NOUN
american_scientific_journal-3828	44	9	lack	lack	NOUN
american_scientific_journal-3828	44	10	of	of	ADP
american_scientific_journal-3828	44	11	large	large	ADJ
american_scientific_journal-3828	44	12	domains	domain	NOUN
american_scientific_journal-3828	44	13	of	of	ADP
american_scientific_journal-3828	44	14	convergence	convergence	NOUN
american_scientific_journal-3828	44	15	.	.	PUNCT
american_scientific_journal-3828	45	1	therefore	therefore	ADV
american_scientific_journal-3828	45	2	,	,	PUNCT
american_scientific_journal-3828	45	3	laplace	laplace	NOUN
american_scientific_journal-3828	45	4	-	-	PUNCT
american_scientific_journal-3828	45	5	padé	padé	NOUN
american_scientific_journal-3828	45	6	[	[	X
american_scientific_journal-3828	45	7	11	11	NUM
american_scientific_journal-3828	45	8	,	,	PUNCT
american_scientific_journal-3828	45	9	21	21	NUM
american_scientific_journal-3828	45	10	,	,	PUNCT
american_scientific_journal-3828	45	11	19	19	NUM
american_scientific_journal-3828	45	12	,	,	PUNCT
american_scientific_journal-3828	45	13	13	13	NUM
american_scientific_journal-3828	45	14	,	,	PUNCT
american_scientific_journal-3828	45	15	2	2	NUM
american_scientific_journal-3828	45	16	,	,	PUNCT
american_scientific_journal-3828	45	17	18	18	NUM
american_scientific_journal-3828	45	18	,	,	PUNCT
american_scientific_journal-3828	45	19	17	17	NUM
american_scientific_journal-3828	45	20	,	,	PUNCT
american_scientific_journal-3828	45	21	22	22	NUM
american_scientific_journal-3828	45	22	,	,	PUNCT
american_scientific_journal-3828	45	23	3	3	NUM
american_scientific_journal-3828	45	24	,	,	PUNCT
american_scientific_journal-3828	45	25	28	28	NUM
american_scientific_journal-3828	45	26	]	]	PUNCT
american_scientific_journal-3828	45	27	method	method	NOUN
american_scientific_journal-3828	45	28	is	be	AUX
american_scientific_journal-3828	45	29	used	use	VERB
american_scientific_journal-3828	45	30	in	in	ADP
american_scientific_journal-3828	45	31	literature	literature	NOUN
american_scientific_journal-3828	45	32	to	to	PART
american_scientific_journal-3828	45	33	enlarge	enlarge	VERB
american_scientific_journal-3828	45	34	the	the	DET
american_scientific_journal-3828	45	35	domain	domain	NOUN
american_scientific_journal-3828	45	36	of	of	ADP
american_scientific_journal-3828	45	37	convergence	convergence	NOUN
american_scientific_journal-3828	45	38	of	of	ADP
american_scientific_journal-3828	45	39	solutions	solution	NOUN
american_scientific_journal-3828	45	40	.	.	PUNCT
american_scientific_journal-3828	46	1	the	the	DET
american_scientific_journal-3828	46	2	procedure	procedure	NOUN
american_scientific_journal-3828	46	3	can	can	AUX
american_scientific_journal-3828	46	4	be	be	AUX
american_scientific_journal-3828	46	5	described	describe	VERB
american_scientific_journal-3828	46	6	as	as	SCONJ
american_scientific_journal-3828	46	7	follows	follow	VERB
american_scientific_journal-3828	46	8	:	:	PUNCT
american_scientific_journal-3828	46	9	1	1	X
american_scientific_journal-3828	46	10	.	.	X
american_scientific_journal-3828	46	11	first	first	ADV
american_scientific_journal-3828	46	12	,	,	PUNCT
american_scientific_journal-3828	46	13	laplace	laplace	NOUN
american_scientific_journal-3828	46	14	transformation	transformation	NOUN
american_scientific_journal-3828	46	15	is	be	AUX
american_scientific_journal-3828	46	16	applied	apply	VERB
american_scientific_journal-3828	46	17	to	to	ADP
american_scientific_journal-3828	46	18	power	power	NOUN
american_scientific_journal-3828	46	19	series	series	NOUN
american_scientific_journal-3828	46	20	(	(	PUNCT
american_scientific_journal-3828	46	21	8)	8)	NUM
american_scientific_journal-3828	46	22	.	.	NOUN
american_scientific_journal-3828	47	1	2	2	NUM
american_scientific_journal-3828	47	2	.	.	PUNCT
american_scientific_journal-3828	47	3	next	next	ADJ
american_scientific_journal-3828	47	4	,	,	PUNCT
american_scientific_journal-3828	47	5	s	s	VERB
american_scientific_journal-3828	47	6	is	be	AUX
american_scientific_journal-3828	47	7	substituted	substitute	VERB
american_scientific_journal-3828	47	8	by	by	ADP
american_scientific_journal-3828	47	9	1/	1/	NUM
american_scientific_journal-3828	47	10	t	t	NOUN
american_scientific_journal-3828	47	11	in	in	ADP
american_scientific_journal-3828	47	12	the	the	DET
american_scientific_journal-3828	47	13	resulting	result	VERB
american_scientific_journal-3828	47	14	equation	equation	NOUN
american_scientific_journal-3828	47	15	.	.	PUNCT
american_scientific_journal-3828	48	1	3	3	X
american_scientific_journal-3828	48	2	.	.	X
american_scientific_journal-3828	48	3	after	after	ADP
american_scientific_journal-3828	48	4	that	that	PRON
american_scientific_journal-3828	48	5	,	,	PUNCT
american_scientific_journal-3828	48	6	we	we	PRON
american_scientific_journal-3828	48	7	convert	convert	VERB
american_scientific_journal-3828	48	8	the	the	DET
american_scientific_journal-3828	48	9	transformed	transform	VERB
american_scientific_journal-3828	48	10	series	series	NOUN
american_scientific_journal-3828	48	11	into	into	ADP
american_scientific_journal-3828	48	12	a	a	DET
american_scientific_journal-3828	48	13	meromorphic	meromorphic	ADJ
american_scientific_journal-3828	48	14	function	function	NOUN
american_scientific_journal-3828	48	15	by	by	ADP
american_scientific_journal-3828	48	16	forming	form	VERB
american_scientific_journal-3828	48	17	its	its	PRON
american_scientific_journal-3828	48	18	padé	padé	NOUN
american_scientific_journal-3828	48	19	approximant	approximant	ADJ
american_scientific_journal-3828	48	20	of	of	ADP
american_scientific_journal-3828	48	21	order	order	NOUN
american_scientific_journal-3828	48	22	[	[	PUNCT
american_scientific_journal-3828	48	23	/	/	SYM
american_scientific_journal-3828	48	24	]	]	X
american_scientific_journal-3828	48	25	n	n	PRON
american_scientific_journal-3828	48	26	m	m	NOUN
american_scientific_journal-3828	48	27	.	.	PUNCT
american_scientific_journal-3828	49	1	n	n	PROPN
american_scientific_journal-3828	49	2	and	and	CCONJ
american_scientific_journal-3828	49	3	m	m	PROPN
american_scientific_journal-3828	49	4	are	be	AUX
american_scientific_journal-3828	49	5	arbitrarily	arbitrarily	ADV
american_scientific_journal-3828	49	6	chosen	choose	VERB
american_scientific_journal-3828	49	7	,	,	PUNCT
american_scientific_journal-3828	49	8	but	but	CCONJ
american_scientific_journal-3828	49	9	they	they	PRON
american_scientific_journal-3828	49	10	should	should	AUX
american_scientific_journal-3828	49	11	be	be	AUX
american_scientific_journal-3828	49	12	of	of	ADP
american_scientific_journal-3828	49	13	smaller	small	ADJ
american_scientific_journal-3828	49	14	value	value	NOUN
american_scientific_journal-3828	49	15	than	than	ADP
american_scientific_journal-3828	49	16	the	the	DET
american_scientific_journal-3828	49	17	order	order	NOUN
american_scientific_journal-3828	49	18	of	of	ADP
american_scientific_journal-3828	49	19	the	the	DET
american_scientific_journal-3828	49	20	power	power	NOUN
american_scientific_journal-3828	49	21	series	series	NOUN
american_scientific_journal-3828	49	22	.	.	PUNCT
american_scientific_journal-3828	50	1	in	in	ADP
american_scientific_journal-3828	50	2	this	this	DET
american_scientific_journal-3828	50	3	step	step	NOUN
american_scientific_journal-3828	50	4	,	,	PUNCT
american_scientific_journal-3828	50	5	the	the	DET
american_scientific_journal-3828	50	6	padé	padé	NOUN
american_scientific_journal-3828	50	7	approximant	approximant	ADJ
american_scientific_journal-3828	50	8	extends	extend	VERB
american_scientific_journal-3828	50	9	the	the	DET
american_scientific_journal-3828	50	10	domain	domain	NOUN
american_scientific_journal-3828	50	11	of	of	ADP
american_scientific_journal-3828	50	12	the	the	DET
american_scientific_journal-3828	50	13	truncated	truncated	ADJ
american_scientific_journal-3828	50	14	series	series	NOUN
american_scientific_journal-3828	50	15	solution	solution	NOUN
american_scientific_journal-3828	50	16	to	to	PART
american_scientific_journal-3828	50	17	obtain	obtain	VERB
american_scientific_journal-3828	50	18	better	well	ADJ
american_scientific_journal-3828	50	19	accuracy	accuracy	NOUN
american_scientific_journal-3828	50	20	and	and	CCONJ
american_scientific_journal-3828	50	21	convergence	convergence	NOUN
american_scientific_journal-3828	50	22	.	.	PUNCT
american_scientific_journal-3828	51	1	4	4	X
american_scientific_journal-3828	51	2	.	.	X
american_scientific_journal-3828	51	3	then	then	ADV
american_scientific_journal-3828	51	4	,	,	PUNCT
american_scientific_journal-3828	51	5	t	t	PROPN
american_scientific_journal-3828	51	6	is	be	AUX
american_scientific_journal-3828	51	7	substituted	substitute	VERB
american_scientific_journal-3828	51	8	by	by	ADP
american_scientific_journal-3828	51	9	1/	1/	NUM
american_scientific_journal-3828	51	10	s	s	NOUN
american_scientific_journal-3828	51	11	.	.	NOUN
american_scientific_journal-3828	52	1	5	5	X
american_scientific_journal-3828	52	2	.	.	PUNCT
american_scientific_journal-3828	52	3	finally	finally	ADV
american_scientific_journal-3828	52	4	,	,	PUNCT
american_scientific_journal-3828	52	5	by	by	ADP
american_scientific_journal-3828	52	6	using	use	VERB
american_scientific_journal-3828	52	7	the	the	DET
american_scientific_journal-3828	52	8	inverse	inverse	ADJ
american_scientific_journal-3828	52	9	laplace	laplace	NOUN
american_scientific_journal-3828	52	10	s	s	PART
american_scientific_journal-3828	52	11	transformation	transformation	NOUN
american_scientific_journal-3828	52	12	,	,	PUNCT
american_scientific_journal-3828	52	13	we	we	PRON
american_scientific_journal-3828	52	14	obtain	obtain	VERB
american_scientific_journal-3828	52	15	the	the	DET
american_scientific_journal-3828	52	16	modified	modify	VERB
american_scientific_journal-3828	52	17	approximate	approximate	ADJ
american_scientific_journal-3828	52	18	solution	solution	NOUN
american_scientific_journal-3828	52	19	.	.	PUNCT
american_scientific_journal-3828	53	1	this	this	DET
american_scientific_journal-3828	53	2	process	process	NOUN
american_scientific_journal-3828	53	3	is	be	AUX
american_scientific_journal-3828	53	4	known	know	VERB
american_scientific_journal-3828	53	5	as	as	ADP
american_scientific_journal-3828	53	6	the	the	DET
american_scientific_journal-3828	53	7	laplace	laplace	NOUN
american_scientific_journal-3828	53	8	-	-	PUNCT
american_scientific_journal-3828	53	9	padé	padé	NOUN
american_scientific_journal-3828	53	10	homotopy	homotopy	NOUN
american_scientific_journal-3828	53	11	perturbation	perturbation	NOUN
american_scientific_journal-3828	53	12	method	method	NOUN
american_scientific_journal-3828	53	13	(	(	PUNCT
american_scientific_journal-3828	53	14	lphpm	lphpm	NOUN
american_scientific_journal-3828	53	15	)	)	PUNCT
american_scientific_journal-3828	53	16	.	.	PUNCT
american_scientific_journal-3828	54	1	american	american	PROPN
american_scientific_journal-3828	54	2	scientific	scientific	ADJ
american_scientific_journal-3828	54	3	research	research	PROPN
american_scientific_journal-3828	54	4	journal	journal	NOUN
american_scientific_journal-3828	54	5	for	for	ADP
american_scientific_journal-3828	54	6	engineering	engineering	NOUN
american_scientific_journal-3828	54	7	,	,	PUNCT
american_scientific_journal-3828	54	8	technology	technology	NOUN
american_scientific_journal-3828	54	9	,	,	PUNCT
american_scientific_journal-3828	54	10	and	and	CCONJ
american_scientific_journal-3828	54	11	sciences	science	NOUN
american_scientific_journal-3828	54	12	(	(	PUNCT
american_scientific_journal-3828	54	13	asrjets	asrjet	NOUN
american_scientific_journal-3828	54	14	)	)	PUNCT
american_scientific_journal-3828	54	15	(	(	PUNCT
american_scientific_journal-3828	54	16	2018	2018	NUM
american_scientific_journal-3828	54	17	)	)	PUNCT
american_scientific_journal-3828	54	18	volume	volume	NOUN
american_scientific_journal-3828	54	19	47	47	NUM
american_scientific_journal-3828	54	20	,	,	PUNCT
american_scientific_journal-3828	54	21	no	no	DET
american_scientific_journal-3828	54	22	1	1	NUM
american_scientific_journal-3828	54	23	,	,	PUNCT
american_scientific_journal-3828	54	24	pp	pp	ADV
american_scientific_journal-3828	54	25	103	103	NUM
american_scientific_journal-3828	54	26	-	-	SYM
american_scientific_journal-3828	54	27	115	115	NUM
american_scientific_journal-3828	54	28	106	106	NUM
american_scientific_journal-3828	54	29	4	4	NUM
american_scientific_journal-3828	54	30	.	.	PUNCT
american_scientific_journal-3828	55	1	cases	case	NOUN
american_scientific_journal-3828	55	2	study	study	VERB
american_scientific_journal-3828	55	3	in	in	ADP
american_scientific_journal-3828	55	4	this	this	DET
american_scientific_journal-3828	55	5	section	section	NOUN
american_scientific_journal-3828	55	6	,	,	PUNCT
american_scientific_journal-3828	55	7	we	we	PRON
american_scientific_journal-3828	55	8	will	will	AUX
american_scientific_journal-3828	55	9	describe	describe	VERB
american_scientific_journal-3828	55	10	and	and	CCONJ
american_scientific_journal-3828	55	11	solve	solve	VERB
american_scientific_journal-3828	55	12	the	the	DET
american_scientific_journal-3828	55	13	governing	govern	VERB
american_scientific_journal-3828	55	14	equations	equation	NOUN
american_scientific_journal-3828	55	15	for	for	ADP
american_scientific_journal-3828	55	16	the	the	DET
american_scientific_journal-3828	55	17	trajectories	trajectory	NOUN
american_scientific_journal-3828	55	18	of	of	ADP
american_scientific_journal-3828	55	19	a	a	DET
american_scientific_journal-3828	55	20	golf	golf	NOUN
american_scientific_journal-3828	55	21	ball	ball	NOUN
american_scientific_journal-3828	55	22	and	and	CCONJ
american_scientific_journal-3828	55	23	mercury	mercury	NOUN
american_scientific_journal-3828	55	24	.	.	PUNCT
american_scientific_journal-3828	56	1	4.1	4.1	NUM
american_scientific_journal-3828	56	2	golf	golf	NOUN
american_scientific_journal-3828	56	3	ball	ball	NOUN
american_scientific_journal-3828	56	4	trajectory	trajectory	NOUN
american_scientific_journal-3828	56	5	the	the	DET
american_scientific_journal-3828	56	6	dynamics	dynamic	NOUN
american_scientific_journal-3828	56	7	for	for	ADP
american_scientific_journal-3828	56	8	a	a	DET
american_scientific_journal-3828	56	9	golf	golf	NOUN
american_scientific_journal-3828	56	10	ball	ball	NOUN
american_scientific_journal-3828	56	11	trajectory	trajectory	NOUN
american_scientific_journal-3828	56	12	(	(	PUNCT
american_scientific_journal-3828	56	13	see	see	VERB
american_scientific_journal-3828	56	14	figure	figure	NOUN
american_scientific_journal-3828	56	15	1	1	NUM
american_scientific_journal-3828	56	16	)	)	PUNCT
american_scientific_journal-3828	56	17	can	can	AUX
american_scientific_journal-3828	56	18	be	be	AUX
american_scientific_journal-3828	56	19	modelled	model	VERB
american_scientific_journal-3828	56	20	by	by	ADP
american_scientific_journal-3828	56	21	the	the	DET
american_scientific_journal-3828	56	22	following	follow	VERB
american_scientific_journal-3828	56	23	system	system	NOUN
american_scientific_journal-3828	56	24	of	of	ADP
american_scientific_journal-3828	56	25	odes	ode	NOUN
american_scientific_journal-3828	56	26	[	[	X
american_scientific_journal-3828	56	27	20	20	NUM
american_scientific_journal-3828	56	28	]	]	SYM
american_scientific_journal-3828	56	29	2	2	NUM
american_scientific_journal-3828	56	30	2	2	NUM
american_scientific_journal-3828	56	31	(	(	PUNCT
american_scientific_journal-3828	56	32	)	)	PUNCT
american_scientific_journal-3828	56	33	=	=	SYM
american_scientific_journal-3828	56	34	0	0	NUM
american_scientific_journal-3828	56	35	,	,	PUNCT
american_scientific_journal-3828	56	36	(	(	PUNCT
american_scientific_journal-3828	56	37	)	)	PUNCT
american_scientific_journal-3828	56	38	=	=	SYM
american_scientific_journal-3828	56	39	0	0	NUM
american_scientific_journal-3828	56	40	,	,	PUNCT
american_scientific_journal-3828	56	41	=	=	PRON
american_scientific_journal-3828	56	42	,	,	PUNCT
american_scientific_journal-3828	56	43	=	=	PUNCT
american_scientific_journal-3828	56	44	/	/	SYM
american_scientific_journal-3828	56	45	(	(	PUNCT
american_scientific_journal-3828	56	46	2	2	NUM
american_scientific_journal-3828	56	47	)	)	PUNCT
american_scientific_journal-3828	56	48	,	,	PUNCT
american_scientific_journal-3828	57	1	d	d	X
american_scientific_journal-3828	57	2	l	l	NOUN
american_scientific_journal-3828	57	3	d	d	X
american_scientific_journal-3828	57	4	l	l	NOUN
american_scientific_journal-3828	57	5	x	x	X
american_scientific_journal-3828	58	1	k	k	NOUN
american_scientific_journal-3828	58	2	c	c	NOUN
american_scientific_journal-3828	58	3	x	x	SYM
american_scientific_journal-3828	59	1	c	c	VERB
american_scientific_journal-3828	59	2	y	y	PROPN
american_scientific_journal-3828	59	3	y	y	PROPN
american_scientific_journal-3828	59	4	k	k	PROPN
american_scientific_journal-3828	59	5	c	c	PROPN
american_scientific_journal-3828	59	6	y	y	PROPN
american_scientific_journal-3828	59	7	c	c	NOUN
american_scientific_journal-3828	59	8	x	x	SYM
american_scientific_journal-3828	59	9	g	g	NOUN
american_scientific_journal-3828	59	10	x	x	X
american_scientific_journal-3828	59	11	y	y	PROPN
american_scientific_journal-3828	59	12	k	k	PROPN
american_scientific_journal-3828	59	13	a	a	DET
american_scientific_journal-3828	59	14	m	m	NOUN
american_scientific_journal-3828	59	15	ν	ν	NOUN
american_scientific_journal-3828	59	16	ν	ν	NOUN
american_scientific_journal-3828	59	17	ν	ν	X
american_scientific_journal-3828	59	18	ρ	ρ	NOUN
american_scientific_journal-3828	59	19	′′	′′	NOUN
american_scientific_journal-3828	59	20	′	′	NOUN
american_scientific_journal-3828	59	21	′+	′+	PUNCT
american_scientific_journal-3828	60	1	+	+	PUNCT
american_scientific_journal-3828	61	1	′′	′′	NOUN
american_scientific_journal-3828	61	2	′	′	NOUN
american_scientific_journal-3828	61	3	′+	′+	PUNCT
american_scientific_journal-3828	61	4	−	−	PROPN
american_scientific_journal-3828	62	1	+	+	CCONJ
american_scientific_journal-3828	62	2	′	′	NUM
american_scientific_journal-3828	62	3	′+	′+	PUNCT
american_scientific_journal-3828	62	4	(	(	PUNCT
american_scientific_journal-3828	62	5	9	9	X
american_scientific_journal-3828	62	6	)	)	PUNCT
american_scientific_journal-3828	62	7	where	where	SCONJ
american_scientific_journal-3828	62	8	the	the	DET
american_scientific_journal-3828	62	9	prime	prime	ADJ
american_scientific_journal-3828	62	10	denotes	denote	NOUN
american_scientific_journal-3828	62	11	derivative	derivative	ADJ
american_scientific_journal-3828	62	12	with	with	ADP
american_scientific_journal-3828	62	13	respect	respect	NOUN
american_scientific_journal-3828	62	14	to	to	ADP
american_scientific_journal-3828	62	15	t	t	NOUN
american_scientific_journal-3828	62	16	,	,	PUNCT
american_scientific_journal-3828	62	17	ν	ν	PROPN
american_scientific_journal-3828	62	18	is	be	AUX
american_scientific_journal-3828	62	19	the	the	DET
american_scientific_journal-3828	62	20	speed	speed	NOUN
american_scientific_journal-3828	62	21	of	of	ADP
american_scientific_journal-3828	62	22	the	the	DET
american_scientific_journal-3828	62	23	ball	ball	NOUN
american_scientific_journal-3828	62	24	,	,	PUNCT
american_scientific_journal-3828	62	25	x	x	PROPN
american_scientific_journal-3828	62	26	and	and	CCONJ
american_scientific_journal-3828	62	27	y	y	PROPN
american_scientific_journal-3828	62	28	are	be	AUX
american_scientific_journal-3828	62	29	the	the	DET
american_scientific_journal-3828	62	30	horizontal	horizontal	ADJ
american_scientific_journal-3828	62	31	and	and	CCONJ
american_scientific_journal-3828	62	32	vertical	vertical	ADJ
american_scientific_journal-3828	62	33	displacements	displacement	NOUN
american_scientific_journal-3828	62	34	,	,	PUNCT
american_scientific_journal-3828	62	35	respectively	respectively	ADV
american_scientific_journal-3828	62	36	;	;	PUNCT
american_scientific_journal-3828	62	37	dc	dc	PROPN
american_scientific_journal-3828	62	38	and	and	CCONJ
american_scientific_journal-3828	62	39	lc	lc	PROPN
american_scientific_journal-3828	62	40	are	be	AUX
american_scientific_journal-3828	62	41	the	the	DET
american_scientific_journal-3828	62	42	drag	drag	NOUN
american_scientific_journal-3828	62	43	and	and	CCONJ
american_scientific_journal-3828	62	44	lift	lift	NOUN
american_scientific_journal-3828	62	45	coefficients	coefficient	NOUN
american_scientific_journal-3828	62	46	,	,	PUNCT
american_scientific_journal-3828	62	47	g	g	PROPN
american_scientific_journal-3828	62	48	is	be	AUX
american_scientific_journal-3828	62	49	the	the	DET
american_scientific_journal-3828	62	50	gravitational	gravitational	ADJ
american_scientific_journal-3828	62	51	acceleration	acceleration	NOUN
american_scientific_journal-3828	62	52	,	,	PUNCT
american_scientific_journal-3828	62	53	ρ	ρ	X
american_scientific_journal-3828	62	54	the	the	DET
american_scientific_journal-3828	62	55	air	air	NOUN
american_scientific_journal-3828	62	56	density	density	NOUN
american_scientific_journal-3828	62	57	,	,	PUNCT
american_scientific_journal-3828	62	58	2=	2=	NUM
american_scientific_journal-3828	62	59	(	(	PUNCT
american_scientific_journal-3828	62	60	/	/	SYM
american_scientific_journal-3828	62	61	2)a	2)a	NUM
american_scientific_journal-3828	62	62	dπ	dπ	ADV
american_scientific_journal-3828	62	63	,	,	PUNCT
american_scientific_journal-3828	63	1	d	d	NOUN
american_scientific_journal-3828	63	2	and	and	CCONJ
american_scientific_journal-3828	63	3	m	m	PROPN
american_scientific_journal-3828	63	4	are	be	AUX
american_scientific_journal-3828	63	5	the	the	DET
american_scientific_journal-3828	63	6	cross	cross	ADJ
american_scientific_journal-3828	63	7	-	-	ADJ
american_scientific_journal-3828	63	8	sectional	sectional	ADJ
american_scientific_journal-3828	63	9	area	area	NOUN
american_scientific_journal-3828	63	10	,	,	PUNCT
american_scientific_journal-3828	63	11	diameter	diameter	NOUN
american_scientific_journal-3828	63	12	and	and	CCONJ
american_scientific_journal-3828	63	13	mass	mass	NOUN
american_scientific_journal-3828	63	14	of	of	ADP
american_scientific_journal-3828	63	15	the	the	DET
american_scientific_journal-3828	63	16	ball	ball	NOUN
american_scientific_journal-3828	63	17	,	,	PUNCT
american_scientific_journal-3828	63	18	respectively	respectively	ADV
american_scientific_journal-3828	63	19	.	.	PUNCT
american_scientific_journal-3828	64	1	now	now	ADV
american_scientific_journal-3828	64	2	,	,	PUNCT
american_scientific_journal-3828	64	3	the	the	DET
american_scientific_journal-3828	64	4	initial	initial	ADJ
american_scientific_journal-3828	64	5	conditions	condition	NOUN
american_scientific_journal-3828	64	6	of	of	ADP
american_scientific_journal-3828	64	7	the	the	DET
american_scientific_journal-3828	64	8	problem	problem	NOUN
american_scientific_journal-3828	64	9	are	be	AUX
american_scientific_journal-3828	64	10	0	0	NUM
american_scientific_journal-3828	64	11	0	0	NUM
american_scientific_journal-3828	64	12	(	(	PUNCT
american_scientific_journal-3828	64	13	0	0	NUM
american_scientific_journal-3828	64	14	)	)	PUNCT
american_scientific_journal-3828	64	15	=	=	NOUN
american_scientific_journal-3828	64	16	,	,	PUNCT
american_scientific_journal-3828	64	17	(	(	PUNCT
american_scientific_journal-3828	64	18	0	0	NUM
american_scientific_journal-3828	64	19	)	)	PUNCT
american_scientific_journal-3828	64	20	=	=	NOUN
american_scientific_journal-3828	64	21	,	,	PUNCT
american_scientific_journal-3828	64	22	(	(	PUNCT
american_scientific_journal-3828	64	23	0	0	NUM
american_scientific_journal-3828	64	24	)	)	PUNCT
american_scientific_journal-3828	64	25	=	=	SYM
american_scientific_journal-3828	64	26	(	(	PUNCT
american_scientific_journal-3828	64	27	0)cos	0)co	NOUN
american_scientific_journal-3828	64	28	(	(	PUNCT
american_scientific_journal-3828	64	29	(	(	PUNCT
american_scientific_journal-3828	64	30	0	0	NUM
american_scientific_journal-3828	64	31	)	)	PUNCT
american_scientific_journal-3828	64	32	)	)	PUNCT
american_scientific_journal-3828	64	33	,	,	PUNCT
american_scientific_journal-3828	64	34	(	(	PUNCT
american_scientific_journal-3828	64	35	0	0	X
american_scientific_journal-3828	64	36	)	)	PUNCT
american_scientific_journal-3828	64	37	=	=	SYM
american_scientific_journal-3828	64	38	(	(	PUNCT
american_scientific_journal-3828	64	39	0)sin	0)sin	NOUN
american_scientific_journal-3828	64	40	(	(	PUNCT
american_scientific_journal-3828	64	41	(	(	PUNCT
american_scientific_journal-3828	64	42	0	0	NUM
american_scientific_journal-3828	64	43	)	)	PUNCT
american_scientific_journal-3828	64	44	)	)	PUNCT
american_scientific_journal-3828	64	45	.	.	PUNCT
american_scientific_journal-3828	65	1	x	x	PUNCT
american_scientific_journal-3828	66	1	x	x	PUNCT
american_scientific_journal-3828	66	2	y	y	NOUN
american_scientific_journal-3828	66	3	y	y	PROPN
american_scientific_journal-3828	66	4	x	x	PUNCT
american_scientific_journal-3828	66	5	y	y	NOUN
american_scientific_journal-3828	66	6	ν	ν	X
american_scientific_journal-3828	66	7	θ	θ	NOUN
american_scientific_journal-3828	66	8	ν	ν	NOUN
american_scientific_journal-3828	66	9	θ	θ	NOUN
american_scientific_journal-3828	66	10	′	′	NUM
american_scientific_journal-3828	67	1	′	′	NUM
american_scientific_journal-3828	68	1	(	(	PUNCT
american_scientific_journal-3828	68	2	10	10	NUM
american_scientific_journal-3828	68	3	)	)	PUNCT
american_scientific_journal-3828	68	4	where	where	SCONJ
american_scientific_journal-3828	68	5	0	0	NUM
american_scientific_journal-3828	68	6	0	0	NUM
american_scientific_journal-3828	68	7	[	[	PUNCT
american_scientific_journal-3828	68	8	,	,	PUNCT
american_scientific_journal-3828	68	9	]	]	X
american_scientific_journal-3828	68	10	x	x	SYM
american_scientific_journal-3828	68	11	y	y	PROPN
american_scientific_journal-3828	68	12	,	,	PUNCT
american_scientific_journal-3828	68	13	(	(	PUNCT
american_scientific_journal-3828	68	14	0)θ	0)θ	X
american_scientific_journal-3828	68	15	,	,	PUNCT
american_scientific_journal-3828	68	16	and	and	CCONJ
american_scientific_journal-3828	68	17	(	(	PUNCT
american_scientific_journal-3828	68	18	0)ν	0)ν	NOUN
american_scientific_journal-3828	68	19	are	be	AUX
american_scientific_journal-3828	68	20	the	the	DET
american_scientific_journal-3828	68	21	initial	initial	ADJ
american_scientific_journal-3828	68	22	:	:	PUNCT
american_scientific_journal-3828	68	23	position	position	NOUN
american_scientific_journal-3828	68	24	,	,	PUNCT
american_scientific_journal-3828	68	25	angle	angle	NOUN
american_scientific_journal-3828	68	26	,	,	PUNCT
american_scientific_journal-3828	68	27	and	and	CCONJ
american_scientific_journal-3828	68	28	speed	speed	NOUN
american_scientific_journal-3828	68	29	of	of	ADP
american_scientific_journal-3828	68	30	the	the	DET
american_scientific_journal-3828	68	31	ball	ball	NOUN
american_scientific_journal-3828	68	32	,	,	PUNCT
american_scientific_journal-3828	68	33	respectively	respectively	ADV
american_scientific_journal-3828	68	34	.	.	PUNCT
american_scientific_journal-3828	69	1	according	accord	VERB
american_scientific_journal-3828	69	2	to	to	ADP
american_scientific_journal-3828	69	3	the	the	DET
american_scientific_journal-3828	69	4	hpm	hpm	NOUN
american_scientific_journal-3828	69	5	(	(	PUNCT
american_scientific_journal-3828	69	6	relation	relation	NOUN
american_scientific_journal-3828	69	7	(	(	PUNCT
american_scientific_journal-3828	69	8	4	4	NUM
american_scientific_journal-3828	69	9	)	)	PUNCT
american_scientific_journal-3828	69	10	)	)	PUNCT
american_scientific_journal-3828	69	11	,	,	PUNCT
american_scientific_journal-3828	69	12	we	we	PRON
american_scientific_journal-3828	69	13	can	can	AUX
american_scientific_journal-3828	69	14	construct	construct	VERB
american_scientific_journal-3828	69	15	the	the	DET
american_scientific_journal-3828	69	16	homotopy	homotopy	NOUN
american_scientific_journal-3828	69	17	map	map	NOUN
american_scientific_journal-3828	69	18	as	as	SCONJ
american_scientific_journal-3828	69	19	follows	follow	VERB
american_scientific_journal-3828	69	20	(	(	PUNCT
american_scientific_journal-3828	69	21	)	)	PUNCT
american_scientific_journal-3828	69	22	(	(	PUNCT
american_scientific_journal-3828	69	23	)	)	PUNCT
american_scientific_journal-3828	70	1	2	2	NUM
american_scientific_journal-3828	70	2	2	2	NUM
american_scientific_journal-3828	70	3	1	1	NUM
american_scientific_journal-3828	70	4	0	0	NUM
american_scientific_journal-3828	70	5	1	1	NUM
american_scientific_journal-3828	70	6	1	1	NUM
american_scientific_journal-3828	70	7	2	2	NUM
american_scientific_journal-3828	70	8	1	1	NUM
american_scientific_journal-3828	70	9	2	2	NUM
american_scientific_journal-3828	70	10	2	2	NUM
american_scientific_journal-3828	70	11	2	2	NUM
american_scientific_journal-3828	70	12	2	2	NUM
american_scientific_journal-3828	70	13	0	0	NUM
american_scientific_journal-3828	70	14	2	2	NUM
american_scientific_journal-3828	70	15	1	1	NUM
american_scientific_journal-3828	70	16	2	2	NUM
american_scientific_journal-3828	70	17	2	2	NUM
american_scientific_journal-3828	70	18	1	1	NUM
american_scientific_journal-3828	70	19	(	(	PUNCT
american_scientific_journal-3828	70	20	1	1	NUM
american_scientific_journal-3828	70	21	)	)	PUNCT
american_scientific_journal-3828	70	22	(	(	PUNCT
american_scientific_journal-3828	70	23	)	)	PUNCT
american_scientific_journal-3828	70	24	(	(	PUNCT
american_scientific_journal-3828	70	25	)	)	PUNCT
american_scientific_journal-3828	70	26	=	=	SYM
american_scientific_journal-3828	70	27	0	0	NUM
american_scientific_journal-3828	70	28	,	,	PUNCT
american_scientific_journal-3828	70	29	(	(	PUNCT
american_scientific_journal-3828	70	30	1	1	NUM
american_scientific_journal-3828	70	31	)	)	PUNCT
american_scientific_journal-3828	70	32	(	(	PUNCT
american_scientific_journal-3828	70	33	)	)	PUNCT
american_scientific_journal-3828	70	34	(	(	PUNCT
american_scientific_journal-3828	70	35	)	)	PUNCT
american_scientific_journal-3828	70	36	=	=	SYM
american_scientific_journal-3828	70	37	0	0	PUNCT
american_scientific_journal-3828	71	1	d	d	NOUN
american_scientific_journal-3828	71	2	l	l	NOUN
american_scientific_journal-3828	72	1	d	d	X
american_scientific_journal-3828	72	2	l	l	NOUN
american_scientific_journal-3828	73	1	p	p	X
american_scientific_journal-3828	73	2	v	v	NOUN
american_scientific_journal-3828	73	3	x	x	X
american_scientific_journal-3828	73	4	p	p	X
american_scientific_journal-3828	73	5	v	v	X
american_scientific_journal-3828	73	6	k	k	PROPN
american_scientific_journal-3828	73	7	v	v	NOUN
american_scientific_journal-3828	73	8	v	v	ADP
american_scientific_journal-3828	73	9	c	c	NOUN
american_scientific_journal-3828	73	10	v	v	NOUN
american_scientific_journal-3828	73	11	c	c	NOUN
american_scientific_journal-3828	73	12	v	v	NOUN
american_scientific_journal-3828	73	13	p	p	X
american_scientific_journal-3828	73	14	v	v	ADP
american_scientific_journal-3828	73	15	y	y	PROPN
american_scientific_journal-3828	73	16	p	p	X
american_scientific_journal-3828	73	17	v	v	X
american_scientific_journal-3828	73	18	k	k	PROPN
american_scientific_journal-3828	73	19	v	v	NOUN
american_scientific_journal-3828	73	20	v	v	ADP
american_scientific_journal-3828	73	21	c	c	NOUN
american_scientific_journal-3828	73	22	v	v	NOUN
american_scientific_journal-3828	73	23	c	c	NOUN
american_scientific_journal-3828	73	24	v	v	NOUN
american_scientific_journal-3828	73	25	g	g	NOUN
american_scientific_journal-3828	73	26	′′	′′	PROPN
american_scientific_journal-3828	73	27	′	′	NUM
american_scientific_journal-3828	74	1	′	′	NUM
american_scientific_journal-3828	74	2	′	′	NUM
american_scientific_journal-3828	75	1	′	′	NUM
american_scientific_journal-3828	76	1	′′	′′	NOUN
american_scientific_journal-3828	76	2	′	′	NUM
american_scientific_journal-3828	77	1	′	′	NUM
american_scientific_journal-3828	77	2	′	′	NUM
american_scientific_journal-3828	78	1	′	′	NUM
american_scientific_journal-3828	79	1	′′	′′	PROPN
american_scientific_journal-3828	79	2	′′−	′′−	NOUN
american_scientific_journal-3828	79	3	−	−	PROPN
american_scientific_journal-3828	80	1	+	+	CCONJ
american_scientific_journal-3828	81	1	+	+	PUNCT
american_scientific_journal-3828	81	2	+	+	CCONJ
american_scientific_journal-3828	81	3	+	+	CCONJ
american_scientific_journal-3828	81	4	′′	′′	PROPN
american_scientific_journal-3828	81	5	′′−	′′−	NOUN
american_scientific_journal-3828	81	6	−	−	PROPN
american_scientific_journal-3828	81	7	+	+	CCONJ
american_scientific_journal-3828	82	1	+	+	PUNCT
american_scientific_journal-3828	83	1	+	+	CCONJ
american_scientific_journal-3828	83	2	−	−	X
american_scientific_journal-3828	83	3	+	+	CCONJ
american_scientific_journal-3828	83	4	(	(	PUNCT
american_scientific_journal-3828	83	5	11	11	NUM
american_scientific_journal-3828	83	6	)	)	PUNCT
american_scientific_journal-3828	83	7	where	where	SCONJ
american_scientific_journal-3828	83	8	the	the	DET
american_scientific_journal-3828	83	9	dots	dot	NOUN
american_scientific_journal-3828	83	10	denote	denote	VERB
american_scientific_journal-3828	83	11	differentiation	differentiation	NOUN
american_scientific_journal-3828	83	12	with	with	ADP
american_scientific_journal-3828	83	13	respect	respect	NOUN
american_scientific_journal-3828	83	14	to	to	ADP
american_scientific_journal-3828	83	15	t	t	NOUN
american_scientific_journal-3828	83	16	,	,	PUNCT
american_scientific_journal-3828	83	17	and	and	CCONJ
american_scientific_journal-3828	83	18	the	the	DET
american_scientific_journal-3828	83	19	initial	initial	ADJ
american_scientific_journal-3828	83	20	approximation	approximation	NOUN
american_scientific_journal-3828	83	21	is	be	AUX
american_scientific_journal-3828	83	22	american	american	ADJ
american_scientific_journal-3828	83	23	scientific	scientific	ADJ
american_scientific_journal-3828	83	24	research	research	NOUN
american_scientific_journal-3828	83	25	journal	journal	NOUN
american_scientific_journal-3828	83	26	for	for	ADP
american_scientific_journal-3828	83	27	engineering	engineering	NOUN
american_scientific_journal-3828	83	28	,	,	PUNCT
american_scientific_journal-3828	83	29	technology	technology	NOUN
american_scientific_journal-3828	83	30	,	,	PUNCT
american_scientific_journal-3828	83	31	and	and	CCONJ
american_scientific_journal-3828	83	32	sciences	science	NOUN
american_scientific_journal-3828	83	33	(	(	PUNCT
american_scientific_journal-3828	83	34	asrjets	asrjet	NOUN
american_scientific_journal-3828	83	35	)	)	PUNCT
american_scientific_journal-3828	83	36	(	(	PUNCT
american_scientific_journal-3828	83	37	2018	2018	NUM
american_scientific_journal-3828	83	38	)	)	PUNCT
american_scientific_journal-3828	83	39	volume	volume	NOUN
american_scientific_journal-3828	83	40	47	47	NUM
american_scientific_journal-3828	83	41	,	,	PUNCT
american_scientific_journal-3828	83	42	no	no	DET
american_scientific_journal-3828	83	43	1	1	NUM
american_scientific_journal-3828	83	44	,	,	PUNCT
american_scientific_journal-3828	83	45	pp	pp	ADV
american_scientific_journal-3828	83	46	103	103	NUM
american_scientific_journal-3828	83	47	-	-	SYM
american_scientific_journal-3828	83	48	115	115	NUM
american_scientific_journal-3828	84	1	107	107	NUM
american_scientific_journal-3828	84	2	1,0	1,0	NUM
american_scientific_journal-3828	84	3	0	0	NUM
american_scientific_journal-3828	84	4	2,0	2,0	NUM
american_scientific_journal-3828	84	5	0	0	NUM
american_scientific_journal-3828	84	6	(	(	PUNCT
american_scientific_journal-3828	84	7	)	)	PUNCT
american_scientific_journal-3828	84	8	=	=	SYM
american_scientific_journal-3828	84	9	(	(	PUNCT
american_scientific_journal-3828	84	10	)	)	PUNCT
american_scientific_journal-3828	84	11	=	=	SYM
american_scientific_journal-3828	84	12	(	(	PUNCT
american_scientific_journal-3828	84	13	0	0	NUM
american_scientific_journal-3828	84	14	)	)	PUNCT
american_scientific_journal-3828	84	15	(	(	PUNCT
american_scientific_journal-3828	84	16	0	0	NUM
american_scientific_journal-3828	84	17	)	)	PUNCT
american_scientific_journal-3828	84	18	,	,	PUNCT
american_scientific_journal-3828	84	19	(	(	PUNCT
american_scientific_journal-3828	84	20	)	)	PUNCT
american_scientific_journal-3828	84	21	=	=	SYM
american_scientific_journal-3828	84	22	(	(	PUNCT
american_scientific_journal-3828	84	23	)	)	PUNCT
american_scientific_journal-3828	84	24	=	=	SYM
american_scientific_journal-3828	84	25	(	(	PUNCT
american_scientific_journal-3828	84	26	0	0	NUM
american_scientific_journal-3828	84	27	)	)	PUNCT
american_scientific_journal-3828	84	28	(	(	PUNCT
american_scientific_journal-3828	84	29	0	0	NUM
american_scientific_journal-3828	84	30	)	)	PUNCT
american_scientific_journal-3828	84	31	,	,	PUNCT
american_scientific_journal-3828	84	32	v	v	ADP
american_scientific_journal-3828	84	33	t	t	NOUN
american_scientific_journal-3828	84	34	x	x	SYM
american_scientific_journal-3828	84	35	t	t	NOUN
american_scientific_journal-3828	84	36	x	x	X
american_scientific_journal-3828	84	37	x	x	SYM
american_scientific_journal-3828	84	38	t	t	PROPN
american_scientific_journal-3828	84	39	v	v	NOUN
american_scientific_journal-3828	84	40	t	t	PROPN
american_scientific_journal-3828	84	41	y	y	PROPN
american_scientific_journal-3828	84	42	t	t	PROPN
american_scientific_journal-3828	84	43	y	y	PROPN
american_scientific_journal-3828	84	44	y	y	PROPN
american_scientific_journal-3828	84	45	t	t	PROPN
american_scientific_journal-3828	84	46	′+	′+	PUNCT
american_scientific_journal-3828	84	47	′+	′+	PUNCT
american_scientific_journal-3828	84	48	(	(	PUNCT
american_scientific_journal-3828	84	49	12	12	NUM
american_scientific_journal-3828	84	50	)	)	PUNCT
american_scientific_journal-3828	84	51	which	which	PRON
american_scientific_journal-3828	84	52	satisfy	satisfy	VERB
american_scientific_journal-3828	84	53	the	the	DET
american_scientific_journal-3828	84	54	initial	initial	ADJ
american_scientific_journal-3828	84	55	conditions	condition	NOUN
american_scientific_journal-3828	84	56	of	of	ADP
american_scientific_journal-3828	84	57	the	the	DET
american_scientific_journal-3828	84	58	problem	problem	NOUN
american_scientific_journal-3828	84	59	.	.	PUNCT
american_scientific_journal-3828	85	1	from	from	ADP
american_scientific_journal-3828	85	2	(	(	PUNCT
american_scientific_journal-3828	85	3	7	7	NUM
american_scientific_journal-3828	85	4	)	)	PUNCT
american_scientific_journal-3828	85	5	,	,	PUNCT
american_scientific_journal-3828	85	6	we	we	PRON
american_scientific_journal-3828	85	7	assume	assume	VERB
american_scientific_journal-3828	85	8	that	that	SCONJ
american_scientific_journal-3828	85	9	the	the	DET
american_scientific_journal-3828	85	10	solution	solution	NOUN
american_scientific_journal-3828	85	11	of	of	ADP
american_scientific_journal-3828	85	12	(	(	PUNCT
american_scientific_journal-3828	85	13	11	11	NUM
american_scientific_journal-3828	85	14	)	)	PUNCT
american_scientific_journal-3828	85	15	can	can	AUX
american_scientific_journal-3828	85	16	be	be	AUX
american_scientific_journal-3828	85	17	written	write	VERB
american_scientific_journal-3828	85	18	as	as	ADP
american_scientific_journal-3828	85	19	a	a	DET
american_scientific_journal-3828	85	20	power	power	NOUN
american_scientific_journal-3828	85	21	series	series	NOUN
american_scientific_journal-3828	85	22	of	of	ADP
american_scientific_journal-3828	85	23	p	p	PROPN
american_scientific_journal-3828	85	24	as	as	SCONJ
american_scientific_journal-3828	85	25	follows	follow	VERB
american_scientific_journal-3828	85	26	26	26	NUM
american_scientific_journal-3828	85	27	,	,	PUNCT
american_scientific_journal-3828	85	28	=	=	NOUN
american_scientific_journal-3828	85	29	0	0	SYM
american_scientific_journal-3828	85	30	=	=	SYM
american_scientific_journal-3828	85	31	(	(	PUNCT
american_scientific_journal-3828	85	32	)	)	PUNCT
american_scientific_journal-3828	85	33	,	,	PUNCT
american_scientific_journal-3828	85	34	=	=	SYM
american_scientific_journal-3828	86	1	1,2i	1,2i	NUM
american_scientific_journal-3828	87	1	i	i	PRON
american_scientific_journal-3828	88	1	i	i	PRON
american_scientific_journal-3828	88	2	j	j	PROPN
american_scientific_journal-3828	89	1	j	j	PROPN
american_scientific_journal-3828	89	2	v	v	ADP
american_scientific_journal-3828	89	3	v	v	ADP
american_scientific_journal-3828	89	4	p	p	PRON
american_scientific_journal-3828	89	5	i∑	i∑	PROPN
american_scientific_journal-3828	89	6	(	(	PUNCT
american_scientific_journal-3828	89	7	13	13	NUM
american_scientific_journal-3828	89	8	)	)	PUNCT
american_scientific_journal-3828	89	9	where	where	SCONJ
american_scientific_journal-3828	89	10	,	,	PUNCT
american_scientific_journal-3828	89	11	i	i	PRON
american_scientific_journal-3828	89	12	jv	jv	ADV
american_scientific_journal-3828	89	13	(	(	PUNCT
american_scientific_journal-3828	89	14	,	,	PUNCT
american_scientific_journal-3828	89	15	=	=	SYM
american_scientific_journal-3828	89	16	1,2,3,i	1,2,3,i	NUM
american_scientific_journal-3828	89	17	j	j	NOUN
american_scientific_journal-3828	89	18	2	2	NUM
american_scientific_journal-3828	89	19	)	)	PUNCT
american_scientific_journal-3828	89	20	are	be	AUX
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american_scientific_journal-3828	89	22	yet	yet	ADV
american_scientific_journal-3828	89	23	to	to	PART
american_scientific_journal-3828	89	24	be	be	AUX
american_scientific_journal-3828	89	25	determined	determine	VERB
american_scientific_journal-3828	89	26	.	.	PUNCT
american_scientific_journal-3828	90	1	following	follow	VERB
american_scientific_journal-3828	90	2	the	the	DET
american_scientific_journal-3828	90	3	hpm	hpm	NOUN
american_scientific_journal-3828	90	4	protocol	protocol	NOUN
american_scientific_journal-3828	90	5	,	,	PUNCT
american_scientific_journal-3828	90	6	we	we	PRON
american_scientific_journal-3828	90	7	substitute	substitute	VERB
american_scientific_journal-3828	90	8	(	(	PUNCT
american_scientific_journal-3828	90	9	13	13	NUM
american_scientific_journal-3828	90	10	)	)	PUNCT
american_scientific_journal-3828	90	11	into	into	ADP
american_scientific_journal-3828	90	12	(	(	PUNCT
american_scientific_journal-3828	90	13	11	11	NUM
american_scientific_journal-3828	90	14	)	)	PUNCT
american_scientific_journal-3828	90	15	,	,	PUNCT
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american_scientific_journal-3828	90	17	,	,	PUNCT
american_scientific_journal-3828	90	18	we	we	PRON
american_scientific_journal-3828	90	19	observe	observe	VERB
american_scientific_journal-3828	90	20	that	that	SCONJ
american_scientific_journal-3828	90	21	the	the	DET
american_scientific_journal-3828	90	22	square	square	ADJ
american_scientific_journal-3828	90	23	root	root	NOUN
american_scientific_journal-3828	90	24	term	term	NOUN
american_scientific_journal-3828	90	25	avoids	avoid	VERB
american_scientific_journal-3828	90	26	the	the	DET
american_scientific_journal-3828	90	27	rearranging	rearranging	NOUN
american_scientific_journal-3828	90	28	of	of	ADP
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american_scientific_journal-3828	90	31	of	of	ADP
american_scientific_journal-3828	90	32	p	p	NOUN
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american_scientific_journal-3828	90	34	as	as	SCONJ
american_scientific_journal-3828	90	35	required	require	VERB
american_scientific_journal-3828	90	36	by	by	ADP
american_scientific_journal-3828	90	37	hpm	hpm	NOUN
american_scientific_journal-3828	90	38	.	.	PUNCT
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american_scientific_journal-3828	91	2	,	,	PUNCT
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american_scientific_journal-3828	91	4	expand	expand	VERB
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american_scientific_journal-3828	91	8	taylor	taylor	PROPN
american_scientific_journal-3828	91	9	with	with	ADP
american_scientific_journal-3828	91	10	respect	respect	NOUN
american_scientific_journal-3828	91	11	to	to	ADP
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american_scientific_journal-3828	91	13	,	,	PUNCT
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american_scientific_journal-3828	91	15	1,0	1,0	NUM
american_scientific_journal-3828	91	16	1,1	1,1	NUM
american_scientific_journal-3828	91	17	2,0	2,0	NUM
american_scientific_journal-3828	91	18	2,12	2,12	NUM
american_scientific_journal-3828	91	19	2	2	NUM
american_scientific_journal-3828	91	20	2	2	NUM
american_scientific_journal-3828	91	21	2	2	NUM
american_scientific_journal-3828	91	22	15	15	NUM
american_scientific_journal-3828	91	23	1	1	NUM
american_scientific_journal-3828	91	24	2	2	NUM
american_scientific_journal-3828	91	25	1,0	1,0	NUM
american_scientific_journal-3828	91	26	2,0	2,0	NUM
american_scientific_journal-3828	91	27	2	2	NUM
american_scientific_journal-3828	91	28	2	2	NUM
american_scientific_journal-3828	91	29	1,0	1,0	NUM
american_scientific_journal-3828	91	30	2,0	2,0	NUM
american_scientific_journal-3828	91	31	'	'	PUNCT
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american_scientific_journal-3828	91	33	(	(	PUNCT
american_scientific_journal-3828	91	34	)	)	PUNCT
american_scientific_journal-3828	91	35	,	,	PUNCT
american_scientific_journal-3828	91	36	'	'	PUNCT
american_scientific_journal-3828	91	37	'	'	PUNCT
american_scientific_journal-3828	91	38	v	v	PRON
american_scientific_journal-3828	91	39	v	v	NUM
american_scientific_journal-3828	91	40	v	v	NUM
american_scientific_journal-3828	91	41	v	v	NUM
american_scientific_journal-3828	91	42	v	v	NUM
american_scientific_journal-3828	91	43	v	v	NOUN
american_scientific_journal-3828	91	44	v	v	NOUN
american_scientific_journal-3828	91	45	v	v	ADP
american_scientific_journal-3828	91	46	p	p	NOUN
american_scientific_journal-3828	91	47	p	p	X
american_scientific_journal-3828	91	48	v	v	ADP
american_scientific_journal-3828	91	49	v	v	NOUN
american_scientific_journal-3828	91	50	′	′	NUM
american_scientific_journal-3828	92	1	′	′	NUM
american_scientific_journal-3828	93	1	+	+	PUNCT
american_scientific_journal-3828	94	1	+	+	PROPN
american_scientific_journal-3828	95	1	≈	≈	PROPN
american_scientific_journal-3828	95	2	+	+	PUNCT
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american_scientific_journal-3828	96	2	+	+	PUNCT
american_scientific_journal-3828	96	3	+	+	CCONJ
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american_scientific_journal-3828	96	7	(	(	PUNCT
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american_scientific_journal-3828	96	9	)	)	PUNCT
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american_scientific_journal-3828	96	11	,	,	PUNCT
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american_scientific_journal-3828	96	25	1,1	1,1	NUM
american_scientific_journal-3828	96	26	0	0	NUM
american_scientific_journal-3828	96	27	2,0	2,0	NUM
american_scientific_journal-3828	96	28	0	0	NUM
american_scientific_journal-3828	96	29	1,0	1,0	NUM
american_scientific_journal-3828	96	30	1,1	1,1	NUM
american_scientific_journal-3828	96	31	1,1	1,1	NUM
american_scientific_journal-3828	96	32	1,2	1,2	NUM
american_scientific_journal-3828	96	33	0	0	NUM
american_scientific_journal-3828	96	34	2,1	2,1	NUM
american_scientific_journal-3828	96	35	2	2	NUM
american_scientific_journal-3828	96	36	2	2	NUM
american_scientific_journal-3828	96	37	2,0	2,0	NUM
american_scientific_journal-3828	96	38	2,1	2,1	NUM
american_scientific_journal-3828	96	39	0	0	NUM
american_scientific_journal-3828	96	40	1,0	1,0	NUM
american_scientific_journal-3828	96	41	1,1	1,1	NUM
american_scientific_journal-3828	96	42	2,0	2,0	NUM
american_scientific_journal-3828	96	43	0	0	NUM
american_scientific_journal-3828	96	44	1,0	1,0	NUM
american_scientific_journal-3828	97	1	1,1	1,1	NUM
american_scientific_journal-3828	97	2	0	0	NUM
american_scientific_journal-3828	97	3	0	0	NUM
american_scientific_journal-3828	97	4	1,1	1,1	NUM
american_scientific_journal-3828	97	5	2,0	2,0	NUM
american_scientific_journal-3828	97	6	2,1	2,1	NUM
american_scientific_journal-3828	97	7	1,0	1,0	NUM
american_scientific_journal-3828	97	8	0	0	NUM
american_scientific_journal-3828	97	9	1,2	1,2	NUM
american_scientific_journal-3828	97	10	1,2	1,2	NUM
american_scientific_journal-3828	97	11	2,1	2,1	NUM
american_scientific_journal-3828	97	12	=	=	SYM
american_scientific_journal-3828	97	13	0	0	NUM
american_scientific_journal-3828	97	14	,	,	PUNCT
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american_scientific_journal-3828	97	16	0	0	NUM
american_scientific_journal-3828	97	17	)	)	PUNCT
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american_scientific_journal-3828	97	19	0	0	NUM
american_scientific_journal-3828	97	20	,	,	PUNCT
american_scientific_journal-3828	97	21	'	'	PUNCT
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american_scientific_journal-3828	97	24	)	)	PUNCT
american_scientific_journal-3828	97	25	=	=	SYM
american_scientific_journal-3828	97	26	0	0	NUM
american_scientific_journal-3828	97	27	,	,	PUNCT
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american_scientific_journal-3828	97	30	/	/	SYM
american_scientific_journal-3828	97	31	/	/	SYM
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american_scientific_journal-3828	97	34	/	/	SYM
american_scientific_journal-3828	97	35	/	/	SYM
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american_scientific_journal-3828	97	37	0	0	NUM
american_scientific_journal-3828	97	38	,	,	PUNCT
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american_scientific_journal-3828	97	43	0	0	NUM
american_scientific_journal-3828	97	44	,	,	PUNCT
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american_scientific_journal-3828	97	47	0	0	NUM
american_scientific_journal-3828	97	48	)	)	PUNCT
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american_scientific_journal-3828	159	11	26	26	NUM
american_scientific_journal-3828	159	12	-	-	PUNCT
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american_scientific_journal-3828	159	20	→	→	SYM
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american_scientific_journal-3828	159	30	26	26	NUM
american_scientific_journal-3828	159	31	1	1	NUM
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american_scientific_journal-3828	159	37	26	26	NUM
american_scientific_journal-3828	159	38	2	2	NUM
american_scientific_journal-3828	159	39	2	2	NUM
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american_scientific_journal-3828	159	41	1	1	NUM
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american_scientific_journal-3828	159	44	(	(	PUNCT
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american_scientific_journal-3828	159	47	(	(	PUNCT
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american_scientific_journal-3828	160	1	j	j	PROPN
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american_scientific_journal-3828	161	2	j	j	PROPN
american_scientific_journal-3828	162	1	j	j	PROPN
american_scientific_journal-3828	162	2	p	p	X
american_scientific_journal-3828	162	3	j	j	PROPN
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american_scientific_journal-3828	162	5	t	t	PROPN
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american_scientific_journal-3828	162	9	t	t	PROPN
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american_scientific_journal-3828	162	29	-	-	PUNCT
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american_scientific_journal-3828	173	4	18	18	NUM
american_scientific_journal-3828	173	5	)	)	PUNCT
american_scientific_journal-3828	173	6	4.2	4.2	NUM
american_scientific_journal-3828	173	7	mercury	mercury	NOUN
american_scientific_journal-3828	173	8	’s	’s	PART
american_scientific_journal-3828	173	9	orbit	orbit	NOUN
american_scientific_journal-3828	173	10	the	the	DET
american_scientific_journal-3828	173	11	dynamics	dynamic	NOUN
american_scientific_journal-3828	173	12	of	of	ADP
american_scientific_journal-3828	173	13	mercury	mercury	NOUN
american_scientific_journal-3828	173	14	’s	’s	PART
american_scientific_journal-3828	173	15	orbit	orbit	NOUN
american_scientific_journal-3828	173	16	can	can	AUX
american_scientific_journal-3828	173	17	be	be	AUX
american_scientific_journal-3828	173	18	described	describe	VERB
american_scientific_journal-3828	173	19	by	by	ADP
american_scientific_journal-3828	173	20	the	the	DET
american_scientific_journal-3828	173	21	following	follow	VERB
american_scientific_journal-3828	173	22	equation	equation	NOUN
american_scientific_journal-3828	173	23	2	2	NUM
american_scientific_journal-3828	173	24	1	1	NUM
american_scientific_journal-3828	173	25	=	=	SYM
american_scientific_journal-3828	173	26	0	0	NUM
american_scientific_journal-3828	173	27	,	,	PUNCT
american_scientific_journal-3828	173	28	(	(	PUNCT
american_scientific_journal-3828	173	29	0	0	NUM
american_scientific_journal-3828	173	30	)	)	PUNCT
american_scientific_journal-3828	173	31	=	=	SYM
american_scientific_journal-3828	173	32	0	0	NUM
american_scientific_journal-3828	173	33	,	,	PUNCT
american_scientific_journal-3828	173	34	(	(	PUNCT
american_scientific_journal-3828	173	35	0	0	NUM
american_scientific_journal-3828	173	36	)	)	PUNCT
american_scientific_journal-3828	173	37	=	=	PUNCT
american_scientific_journal-3828	173	38	0,u	0,u	NOUN
american_scientific_journal-3828	173	39	u	u	NUM
american_scientific_journal-3828	173	40	u	u	NOUN
american_scientific_journal-3828	173	41	u	u	NOUN
american_scientific_journal-3828	173	42	uδ	uδ	NOUN
american_scientific_journal-3828	173	43	α	α	PRON
american_scientific_journal-3828	173	44	′′	′′	PROPN
american_scientific_journal-3828	173	45	′+	′+	PUNCT
american_scientific_journal-3828	173	46	−	−	PROPN
american_scientific_journal-3828	173	47	−	−	PROPN
american_scientific_journal-3828	173	48	(	(	PUNCT
american_scientific_journal-3828	173	49	19	19	NUM
american_scientific_journal-3828	173	50	)	)	PUNCT
american_scientific_journal-3828	173	51	where	where	SCONJ
american_scientific_journal-3828	173	52	the	the	DET
american_scientific_journal-3828	173	53	prime	prime	ADJ
american_scientific_journal-3828	173	54	denotes	denote	NOUN
american_scientific_journal-3828	173	55	derivative	derivative	ADJ
american_scientific_journal-3828	173	56	with	with	ADP
american_scientific_journal-3828	173	57	respect	respect	NOUN
american_scientific_journal-3828	173	58	to	to	ADP
american_scientific_journal-3828	173	59	the	the	DET
american_scientific_journal-3828	173	60	angular	angular	ADJ
american_scientific_journal-3828	173	61	displacement	displacement	ADJ
american_scientific_journal-3828	173	62	θ	θ	NOUN
american_scientific_journal-3828	173	63	and	and	CCONJ
american_scientific_journal-3828	173	64	2	2	NUM
american_scientific_journal-3828	173	65	2	2	NUM
american_scientific_journal-3828	173	66	2	2	NUM
american_scientific_journal-3828	173	67	3=	3=	NUM
american_scientific_journal-3828	173	68	,	,	PUNCT
american_scientific_journal-3828	174	1	=	=	PRON
american_scientific_journal-3828	174	2	,	,	PUNCT
american_scientific_journal-3828	174	3	=	=	SYM
american_scientific_journal-3828	174	4	(	(	PUNCT
american_scientific_journal-3828	174	5	1	1	NUM
american_scientific_journal-3828	174	6	)	)	PUNCT
american_scientific_journal-3828	174	7	,	,	PUNCT
american_scientific_journal-3828	174	8	=	=	PUNCT
american_scientific_journal-3828	174	9	.	.	PUNCT
american_scientific_journal-3828	175	1	gm	gm	PROPN
american_scientific_journal-3828	176	1	c	c	PROPN
american_scientific_journal-3828	176	2	gm	gm	PROPN
american_scientific_journal-3828	176	3	m	m	PROPN
american_scientific_journal-3828	176	4	gmm	gmm	PROPN
american_scientific_journal-3828	176	5	mm	mm	PROPN
american_scientific_journal-3828	176	6	m	m	VERB
american_scientific_journal-3828	176	7	m	m	VERB
american_scientific_journal-3828	176	8	δ	δ	X
american_scientific_journal-3828	176	9	α	α	NOUN
american_scientific_journal-3828	176	10	m	m	VERB
american_scientific_journal-3828	176	11	α	α	NOUN
american_scientific_journal-3828	176	12	ε	ε	PROPN
american_scientific_journal-3828	176	13	m	m	VERB
american_scientific_journal-3828	176	14	−	−	PROPN
american_scientific_journal-3828	176	15	+	+	CCONJ
american_scientific_journal-3828	176	16			X
american_scientific_journal-3828	176	17			X
american_scientific_journal-3828	176	18	(	(	PUNCT
american_scientific_journal-3828	176	19	20	20	NUM
american_scientific_journal-3828	176	20	)	)	PUNCT
american_scientific_journal-3828	176	21	american	american	ADJ
american_scientific_journal-3828	176	22	scientific	scientific	ADJ
american_scientific_journal-3828	176	23	research	research	NOUN
american_scientific_journal-3828	176	24	journal	journal	NOUN
american_scientific_journal-3828	176	25	for	for	ADP
american_scientific_journal-3828	176	26	engineering	engineering	NOUN
american_scientific_journal-3828	176	27	,	,	PUNCT
american_scientific_journal-3828	176	28	technology	technology	NOUN
american_scientific_journal-3828	176	29	,	,	PUNCT
american_scientific_journal-3828	176	30	and	and	CCONJ
american_scientific_journal-3828	176	31	sciences	science	NOUN
american_scientific_journal-3828	176	32	(	(	PUNCT
american_scientific_journal-3828	176	33	asrjets	asrjet	NOUN
american_scientific_journal-3828	176	34	)	)	PUNCT
american_scientific_journal-3828	176	35	(	(	PUNCT
american_scientific_journal-3828	176	36	2018	2018	NUM
american_scientific_journal-3828	176	37	)	)	PUNCT
american_scientific_journal-3828	176	38	volume	volume	NOUN
american_scientific_journal-3828	176	39	47	47	NUM
american_scientific_journal-3828	176	40	,	,	PUNCT
american_scientific_journal-3828	176	41	no	no	DET
american_scientific_journal-3828	176	42	1	1	NUM
american_scientific_journal-3828	176	43	,	,	PUNCT
american_scientific_journal-3828	176	44	pp	pp	ADV
american_scientific_journal-3828	176	45	103	103	NUM
american_scientific_journal-3828	176	46	-	-	SYM
american_scientific_journal-3828	176	47	115	115	NUM
american_scientific_journal-3828	176	48	110	110	NUM
american_scientific_journal-3828	176	49	the	the	DET
american_scientific_journal-3828	176	50	parameters	parameter	NOUN
american_scientific_journal-3828	176	51	of	of	ADP
american_scientific_journal-3828	176	52	the	the	DET
american_scientific_journal-3828	176	53	model	model	NOUN
american_scientific_journal-3828	176	54	are	be	AUX
american_scientific_journal-3828	176	55	:	:	PUNCT
american_scientific_journal-3828	176	56	the	the	DET
american_scientific_journal-3828	176	57	gravitational	gravitational	ADJ
american_scientific_journal-3828	176	58	constant	constant	ADJ
american_scientific_journal-3828	176	59	11=	11=	NUM
american_scientific_journal-3828	176	60	6.6726	6.6726	NUM
american_scientific_journal-3828	176	61	10	10	NUM
american_scientific_journal-3828	176	62	g	g	NOUN
american_scientific_journal-3828	176	63	−×	−×	NOUN
american_scientific_journal-3828	176	64	,	,	PUNCT
american_scientific_journal-3828	176	65	the	the	DET
american_scientific_journal-3828	176	66	mass	mass	NOUN
american_scientific_journal-3828	176	67	of	of	ADP
american_scientific_journal-3828	176	68	the	the	DET
american_scientific_journal-3828	176	69	sun	sun	NOUN
american_scientific_journal-3828	176	70	30=	30=	NUM
american_scientific_journal-3828	176	71	1.99	1.99	NUM
american_scientific_journal-3828	176	72	10	10	NUM
american_scientific_journal-3828	176	73	m	m	NOUN
american_scientific_journal-3828	176	74	×	×	NOUN
american_scientific_journal-3828	176	75	,	,	PUNCT
american_scientific_journal-3828	176	76	the	the	DET
american_scientific_journal-3828	176	77	speed	speed	NOUN
american_scientific_journal-3828	176	78	of	of	ADP
american_scientific_journal-3828	176	79	light	light	NOUN
american_scientific_journal-3828	176	80	8=	8=	NUM
american_scientific_journal-3828	176	81	3	3	NUM
american_scientific_journal-3828	176	82	10c	10c	NOUN
american_scientific_journal-3828	176	83	×	×	NOUN
american_scientific_journal-3828	176	84	,	,	PUNCT
american_scientific_journal-3828	176	85	10=	10=	NUM
american_scientific_journal-3828	176	86	5.787145	5.787145	NUM
american_scientific_journal-3828	176	87	10α	10α	NOUN
american_scientific_journal-3828	176	88	×	×	NOUN
american_scientific_journal-3828	176	89	,	,	PUNCT
american_scientific_journal-3828	176	90	the	the	DET
american_scientific_journal-3828	176	91	eccentricity	eccentricity	NOUN
american_scientific_journal-3828	176	92	=	=	PUNCT
american_scientific_journal-3828	176	93	0.2056ε	0.2056ε	PROPN
american_scientific_journal-3828	176	94	and	and	CCONJ
american_scientific_journal-3828	176	95	the	the	DET
american_scientific_journal-3828	176	96	mas	mas	PROPN
american_scientific_journal-3828	176	97	23=	23=	NUM
american_scientific_journal-3828	176	98	3.285	3.285	NUM
american_scientific_journal-3828	176	99	10	10	NUM
american_scientific_journal-3828	176	100	m	m	NOUN
american_scientific_journal-3828	176	101	×	×	NOUN
american_scientific_journal-3828	176	102	of	of	ADP
american_scientific_journal-3828	176	103	the	the	DET
american_scientific_journal-3828	176	104	planet	planet	NOUN
american_scientific_journal-3828	176	105	.	.	PUNCT
american_scientific_journal-3828	177	1	according	accord	VERB
american_scientific_journal-3828	177	2	to	to	ADP
american_scientific_journal-3828	177	3	the	the	DET
american_scientific_journal-3828	177	4	hpm	hpm	NOUN
american_scientific_journal-3828	177	5	(	(	PUNCT
american_scientific_journal-3828	177	6	relation	relation	NOUN
american_scientific_journal-3828	177	7	(	(	PUNCT
american_scientific_journal-3828	177	8	4	4	NUM
american_scientific_journal-3828	177	9	)	)	PUNCT
american_scientific_journal-3828	177	10	)	)	PUNCT
american_scientific_journal-3828	177	11	,	,	PUNCT
american_scientific_journal-3828	177	12	we	we	PRON
american_scientific_journal-3828	177	13	can	can	AUX
american_scientific_journal-3828	177	14	construct	construct	VERB
american_scientific_journal-3828	177	15	the	the	DET
american_scientific_journal-3828	177	16	homotopy	homotopy	NOUN
american_scientific_journal-3828	177	17	map	map	NOUN
american_scientific_journal-3828	177	18	as	as	SCONJ
american_scientific_journal-3828	177	19	follows	follow	VERB
american_scientific_journal-3828	177	20	21	21	NUM
american_scientific_journal-3828	177	21	1(1	1(1	NUM
american_scientific_journal-3828	177	22	)	)	PUNCT
american_scientific_journal-3828	177	23	(	(	PUNCT
american_scientific_journal-3828	177	24	)	)	PUNCT
american_scientific_journal-3828	178	1	=	=	SYM
american_scientific_journal-3828	178	2	0,p	0,p	NOUN
american_scientific_journal-3828	179	1	v	v	NUM
american_scientific_journal-3828	179	2	v	v	ADP
american_scientific_journal-3828	179	3	p	p	NOUN
american_scientific_journal-3828	179	4	v	v	NOUN
american_scientific_journal-3828	179	5	v	v	NOUN
american_scientific_journal-3828	179	6	vδ	vδ	ADP
american_scientific_journal-3828	179	7	α	α	PROPN
american_scientific_journal-3828	179	8	α	α	PROPN
american_scientific_journal-3828	179	9			NOUN
american_scientific_journal-3828	179	10	′′	′′	DET
american_scientific_journal-3828	179	11	′′−	′′−	NOUN
american_scientific_journal-3828	179	12	+	+	CCONJ
american_scientific_journal-3828	179	13	−	−	PROPN
american_scientific_journal-3828	180	1	+	+	CCONJ
american_scientific_journal-3828	180	2	+	+	CCONJ
american_scientific_journal-3828	180	3	−	−	PROPN
american_scientific_journal-3828	180	4	−	−	ADJ
american_scientific_journal-3828	180	5			VERB
american_scientific_journal-3828	180	6			PRON
american_scientific_journal-3828	180	7			PUNCT
american_scientific_journal-3828	181	1	(	(	PUNCT
american_scientific_journal-3828	181	2	21	21	NUM
american_scientific_journal-3828	181	3	)	)	PUNCT
american_scientific_journal-3828	181	4	from	from	ADP
american_scientific_journal-3828	181	5	(	(	PUNCT
american_scientific_journal-3828	181	6	7	7	NUM
american_scientific_journal-3828	181	7	)	)	PUNCT
american_scientific_journal-3828	181	8	,	,	PUNCT
american_scientific_journal-3828	181	9	we	we	PRON
american_scientific_journal-3828	181	10	assume	assume	VERB
american_scientific_journal-3828	181	11	that	that	SCONJ
american_scientific_journal-3828	181	12	the	the	DET
american_scientific_journal-3828	181	13	solution	solution	NOUN
american_scientific_journal-3828	181	14	of	of	ADP
american_scientific_journal-3828	181	15	(	(	PUNCT
american_scientific_journal-3828	181	16	21	21	NUM
american_scientific_journal-3828	181	17	)	)	PUNCT
american_scientific_journal-3828	181	18	can	can	AUX
american_scientific_journal-3828	181	19	be	be	AUX
american_scientific_journal-3828	181	20	written	write	VERB
american_scientific_journal-3828	181	21	as	as	ADP
american_scientific_journal-3828	181	22	a	a	DET
american_scientific_journal-3828	181	23	power	power	NOUN
american_scientific_journal-3828	181	24	series	series	NOUN
american_scientific_journal-3828	181	25	of	of	ADP
american_scientific_journal-3828	181	26	p	p	PROPN
american_scientific_journal-3828	181	27	as	as	SCONJ
american_scientific_journal-3828	181	28	follows	follow	VERB
american_scientific_journal-3828	181	29	3	3	NUM
american_scientific_journal-3828	181	30	=	=	SYM
american_scientific_journal-3828	181	31	0	0	NUM
american_scientific_journal-3828	181	32	=	=	SYM
american_scientific_journal-3828	181	33	(	(	PUNCT
american_scientific_journal-3828	181	34	)	)	PUNCT
american_scientific_journal-3828	181	35	,	,	PUNCT
american_scientific_journal-3828	181	36	i	i	PRON
american_scientific_journal-3828	181	37	i	i	PRON
american_scientific_journal-3828	182	1	i	i	PRON
american_scientific_journal-3828	182	2	v	v	VERB
american_scientific_journal-3828	182	3	v	v	PRON
american_scientific_journal-3828	182	4	p∑	p∑	NOUN
american_scientific_journal-3828	182	5	(	(	PUNCT
american_scientific_journal-3828	182	6	22	22	NUM
american_scientific_journal-3828	182	7	)	)	PUNCT
american_scientific_journal-3828	182	8	next	next	ADV
american_scientific_journal-3828	182	9	,	,	PUNCT
american_scientific_journal-3828	182	10	we	we	PRON
american_scientific_journal-3828	182	11	substitute	substitute	VERB
american_scientific_journal-3828	182	12	(	(	PUNCT
american_scientific_journal-3828	182	13	22	22	NUM
american_scientific_journal-3828	182	14	)	)	PUNCT
american_scientific_journal-3828	182	15	into	into	ADP
american_scientific_journal-3828	182	16	(	(	PUNCT
american_scientific_journal-3828	182	17	21	21	NUM
american_scientific_journal-3828	182	18	)	)	PUNCT
american_scientific_journal-3828	182	19	,	,	PUNCT
american_scientific_journal-3828	182	20	rearrange	rearrange	VERB
american_scientific_journal-3828	182	21	the	the	DET
american_scientific_journal-3828	182	22	coefficients	coefficient	NOUN
american_scientific_journal-3828	182	23	of	of	ADP
american_scientific_journal-3828	182	24	p	p	NOUN
american_scientific_journal-3828	182	25	powers	power	NOUN
american_scientific_journal-3828	182	26	,	,	PUNCT
american_scientific_journal-3828	182	27	and	and	CCONJ
american_scientific_journal-3828	182	28	equating	equate	VERB
american_scientific_journal-3828	182	29	them	they	PRON
american_scientific_journal-3828	182	30	to	to	ADP
american_scientific_journal-3828	182	31	zero	zero	NUM
american_scientific_journal-3828	182	32	,	,	PUNCT
american_scientific_journal-3828	182	33	resulting	result	VERB
american_scientific_journal-3828	182	34	0	0	NUM
american_scientific_journal-3828	182	35	0	0	NUM
american_scientific_journal-3828	182	36	0	0	NUM
american_scientific_journal-3828	182	37	0	0	NUM
american_scientific_journal-3828	182	38	2	2	NUM
american_scientific_journal-3828	182	39	1	1	NUM
american_scientific_journal-3828	182	40	0	0	NUM
american_scientific_journal-3828	182	41	1	1	NUM
american_scientific_journal-3828	182	42	1	1	NUM
american_scientific_journal-3828	182	43	1	1	NUM
american_scientific_journal-3828	182	44	2	2	NUM
american_scientific_journal-3828	182	45	2	2	NUM
american_scientific_journal-3828	182	46	0	0	NUM
american_scientific_journal-3828	182	47	1	1	NUM
american_scientific_journal-3828	182	48	2	2	NUM
american_scientific_journal-3828	182	49	2	2	NUM
american_scientific_journal-3828	182	50	2	2	NUM
american_scientific_journal-3828	182	51	3	3	NUM
american_scientific_journal-3828	182	52	1	1	NUM
american_scientific_journal-3828	182	53	0	0	NUM
american_scientific_journal-3828	182	54	2	2	NUM
american_scientific_journal-3828	182	55	3	3	NUM
american_scientific_journal-3828	182	56	3	3	NUM
american_scientific_journal-3828	182	57	3	3	NUM
american_scientific_journal-3828	182	58	1	1	NUM
american_scientific_journal-3828	182	59	=	=	SYM
american_scientific_journal-3828	182	60	0	0	NUM
american_scientific_journal-3828	182	61	,	,	PUNCT
american_scientific_journal-3828	182	62	(	(	PUNCT
american_scientific_journal-3828	182	63	0	0	NUM
american_scientific_journal-3828	182	64	)	)	PUNCT
american_scientific_journal-3828	182	65	=	=	SYM
american_scientific_journal-3828	182	66	0	0	NUM
american_scientific_journal-3828	182	67	,	,	PUNCT
american_scientific_journal-3828	182	68	(	(	PUNCT
american_scientific_journal-3828	182	69	0	0	NUM
american_scientific_journal-3828	182	70	)	)	PUNCT
american_scientific_journal-3828	182	71	=	=	SYM
american_scientific_journal-3828	183	1	0	0	NUM
american_scientific_journal-3828	183	2	,	,	PUNCT
american_scientific_journal-3828	183	3	=	=	NOUN
american_scientific_journal-3828	183	4	0	0	NUM
american_scientific_journal-3828	183	5	,	,	PUNCT
american_scientific_journal-3828	183	6	(	(	PUNCT
american_scientific_journal-3828	183	7	0	0	NUM
american_scientific_journal-3828	183	8	)	)	PUNCT
american_scientific_journal-3828	183	9	=	=	SYM
american_scientific_journal-3828	183	10	0	0	NUM
american_scientific_journal-3828	183	11	,	,	PUNCT
american_scientific_journal-3828	183	12	(	(	PUNCT
american_scientific_journal-3828	183	13	0	0	NUM
american_scientific_journal-3828	183	14	)	)	PUNCT
american_scientific_journal-3828	183	15	=	=	SYM
american_scientific_journal-3828	183	16	0	0	NUM
american_scientific_journal-3828	183	17	,	,	PUNCT
american_scientific_journal-3828	183	18	2	2	NUM
american_scientific_journal-3828	183	19	=	=	SYM
american_scientific_journal-3828	183	20	0	0	NUM
american_scientific_journal-3828	183	21	,	,	PUNCT
american_scientific_journal-3828	183	22	(	(	PUNCT
american_scientific_journal-3828	183	23	0	0	NUM
american_scientific_journal-3828	183	24	)	)	PUNCT
american_scientific_journal-3828	183	25	=	=	SYM
american_scientific_journal-3828	183	26	0	0	NUM
american_scientific_journal-3828	183	27	,	,	PUNCT
american_scientific_journal-3828	183	28	(	(	PUNCT
american_scientific_journal-3828	183	29	0	0	NUM
american_scientific_journal-3828	183	30	)	)	PUNCT
american_scientific_journal-3828	183	31	=	=	SYM
american_scientific_journal-3828	183	32	0	0	NUM
american_scientific_journal-3828	183	33	,	,	PUNCT
american_scientific_journal-3828	183	34	2	2	NUM
american_scientific_journal-3828	183	35	=	=	SYM
american_scientific_journal-3828	183	36	0	0	NUM
american_scientific_journal-3828	183	37	,	,	PUNCT
american_scientific_journal-3828	183	38	(	(	PUNCT
american_scientific_journal-3828	183	39	0	0	NUM
american_scientific_journal-3828	183	40	)	)	PUNCT
american_scientific_journal-3828	183	41	=	=	SYM
american_scientific_journal-3828	183	42	0	0	NUM
american_scientific_journal-3828	183	43	,	,	PUNCT
american_scientific_journal-3828	183	44	(	(	PUNCT
american_scientific_journal-3828	183	45	0	0	NUM
american_scientific_journal-3828	183	46	)	)	PUNCT
american_scientific_journal-3828	183	47	=	=	SYM
american_scientific_journal-3828	183	48	0	0	NUM
american_scientific_journal-3828	183	49	,	,	PUNCT
american_scientific_journal-3828	183	50	v	v	NOUN
american_scientific_journal-3828	183	51	v	v	NUM
american_scientific_journal-3828	183	52	v	v	NUM
american_scientific_journal-3828	183	53	v	v	NUM
american_scientific_journal-3828	183	54	v	v	NUM
american_scientific_journal-3828	183	55	v	v	NUM
american_scientific_journal-3828	183	56	v	v	NUM
american_scientific_journal-3828	183	57	v	v	NUM
american_scientific_journal-3828	183	58	v	v	NUM
american_scientific_journal-3828	183	59	v	v	NUM
american_scientific_journal-3828	183	60	v	v	NUM
american_scientific_journal-3828	183	61	v	v	NUM
american_scientific_journal-3828	183	62	v	v	NUM
american_scientific_journal-3828	183	63	v	v	NUM
american_scientific_journal-3828	183	64	v	v	NUM
american_scientific_journal-3828	183	65	v	v	NUM
american_scientific_journal-3828	183	66	v	v	NUM
american_scientific_journal-3828	183	67	v	v	NUM
american_scientific_journal-3828	183	68	v	v	NUM
american_scientific_journal-3828	183	69	v	v	NUM
american_scientific_journal-3828	183	70	v	v	NOUN
american_scientific_journal-3828	183	71	v	v	ADP
american_scientific_journal-3828	183	72	α	α	PRON
american_scientific_journal-3828	183	73	δ	δ	PROPN
american_scientific_journal-3828	183	74	δ	δ	PROPN
american_scientific_journal-3828	183	75	δ	δ	PROPN
american_scientific_journal-3828	183	76	δ	δ	PROPN
american_scientific_journal-3828	183	77	′′	′′	PROPN
american_scientific_journal-3828	183	78	′	′	NUM
american_scientific_journal-3828	184	1	′′	′′	PROPN
american_scientific_journal-3828	184	2	′	′	NUM
american_scientific_journal-3828	185	1	′′	′′	PROPN
american_scientific_journal-3828	185	2	′	′	NUM
american_scientific_journal-3828	186	1	′′	′′	PROPN
american_scientific_journal-3828	186	2	′	′	VERB
american_scientific_journal-3828	187	1	+	+	CCONJ
american_scientific_journal-3828	187	2	−	−	ADP
american_scientific_journal-3828	187	3	−	−	PROPN
american_scientific_journal-3828	188	1	+	+	CCONJ
american_scientific_journal-3828	188	2	+	+	NUM
american_scientific_journal-3828	188	3	−	−	ADP
american_scientific_journal-3828	188	4	−	−	NUM
american_scientific_journal-3828	188	5	−	−	PROPN
american_scientific_journal-3828	189	1	+	+	CCONJ
american_scientific_journal-3828	189	2	(	(	PUNCT
american_scientific_journal-3828	189	3	23	23	NUM
american_scientific_journal-3828	189	4	)	)	PUNCT
american_scientific_journal-3828	189	5	therefore	therefore	ADV
american_scientific_journal-3828	189	6	,	,	PUNCT
american_scientific_journal-3828	189	7	0	0	NUM
american_scientific_journal-3828	189	8	1	1	NUM
american_scientific_journal-3828	189	9	2	2	NUM
american_scientific_journal-3828	189	10	2	2	NUM
american_scientific_journal-3828	189	11	2	2	NUM
american_scientific_journal-3828	189	12	3	3	NUM
american_scientific_journal-3828	189	13	2	2	NUM
american_scientific_journal-3828	189	14	3	3	NUM
american_scientific_journal-3828	189	15	3	3	NUM
american_scientific_journal-3828	189	16	4	4	NUM
american_scientific_journal-3828	189	17	1=	1=	NUM
american_scientific_journal-3828	189	18	(	(	PUNCT
american_scientific_journal-3828	189	19	cos	cos	PROPN
american_scientific_journal-3828	189	20	(	(	PUNCT
american_scientific_journal-3828	189	21	)	)	PUNCT
american_scientific_journal-3828	189	22	1	1	NUM
american_scientific_journal-3828	189	23	)	)	PUNCT
american_scientific_journal-3828	189	24	,	,	PUNCT
american_scientific_journal-3828	189	25	1=	1=	X
american_scientific_journal-3828	189	26	(	(	PUNCT
american_scientific_journal-3828	189	27	9	9	NUM
american_scientific_journal-3828	189	28	cos(2	cos(2	NOUN
american_scientific_journal-3828	189	29	)	)	PUNCT
american_scientific_journal-3828	189	30	8cos	8co	NOUN
american_scientific_journal-3828	189	31	(	(	PUNCT
american_scientific_journal-3828	189	32	)	)	PUNCT
american_scientific_journal-3828	189	33	6sin	6sin	NOUN
american_scientific_journal-3828	189	34	(	(	PUNCT
american_scientific_journal-3828	189	35	)	)	PUNCT
american_scientific_journal-3828	189	36	)	)	PUNCT
american_scientific_journal-3828	189	37	,	,	PUNCT
american_scientific_journal-3828	189	38	6	6	NUM
american_scientific_journal-3828	189	39	1=	1=	NUM
american_scientific_journal-3828	189	40	(	(	PUNCT
american_scientific_journal-3828	189	41	509cos	509cos	NUM
american_scientific_journal-3828	189	42	(	(	PUNCT
american_scientific_journal-3828	189	43	)	)	PUNCT
american_scientific_journal-3828	189	44	624	624	NUM
american_scientific_journal-3828	189	45	112cos(2	112cos(2	NUM
american_scientific_journal-3828	189	46	)	)	PUNCT
american_scientific_journal-3828	189	47	468sin	468sin	NUM
american_scientific_journal-3828	189	48	(	(	PUNCT
american_scientific_journal-3828	189	49	)	)	PUNCT
american_scientific_journal-3828	189	50	3cos(3	3cos(3	NUM
american_scientific_journal-3828	189	51	)	)	PUNCT
american_scientific_journal-3828	189	52	144	144	NUM
american_scientific_journal-3828	189	53	48	48	NUM
american_scientific_journal-3828	189	54	sin(2	sin(2	ADJ
american_scientific_journal-3828	189	55	)	)	PUNCT
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american_scientific_journal-3828	189	57	(	(	PUNCT
american_scientific_journal-3828	189	58	)	)	PUNCT
american_scientific_journal-3828	189	59	)	)	PUNCT
american_scientific_journal-3828	189	60	,	,	PUNCT
american_scientific_journal-3828	189	61	1=	1=	NUM
american_scientific_journal-3828	189	62	(	(	PUNCT
american_scientific_journal-3828	189	63	5048cos	5048cos	PROPN
american_scientific_journal-3828	189	64	(	(	PUNCT
american_scientific_journal-3828	189	65	)	)	PUNCT
american_scientific_journal-3828	189	66	27	27	NUM
american_scientific_journal-3828	189	67	sin(3	sin(3	NOUN
american_scientific_journal-3828	189	68	)	)	PUNCT
american_scientific_journal-3828	189	69	5163sin	5163sin	NOUN
american_scientific_journal-3828	189	70	(	(	PUNCT
american_scientific_journal-3828	189	71	)	)	PUNCT
american_scientific_journal-3828	189	72	948	948	NUM
american_scientific_journal-3828	189	73	sin(2	sin(2	ADJ
american_scientific_journal-3828	189	74	)	)	PUNCT
american_scientific_journal-3828	189	75	432	432	NUM
american_scientific_journal-3828	189	76	72si	72si	NOUN
american_scientific_journal-3828	189	77	v	v	NOUN
american_scientific_journal-3828	189	78	v	v	NUM
american_scientific_journal-3828	189	79	v	v	NOUN
american_scientific_journal-3828	189	80	v	v	NUM
american_scientific_journal-3828	189	81	θ	θ	NOUN
american_scientific_journal-3828	189	82	α	α	NOUN
american_scientific_journal-3828	189	83	δ	δ	NOUN
american_scientific_journal-3828	189	84	θ	θ	NOUN
american_scientific_journal-3828	189	85	θ	θ	NOUN
american_scientific_journal-3828	189	86	θ	θ	PUNCT
american_scientific_journal-3828	189	87	θ	θ	X
american_scientific_journal-3828	189	88	α	α	NOUN
american_scientific_journal-3828	189	89	δ	δ	NOUN
american_scientific_journal-3828	189	90	θ	θ	NOUN
american_scientific_journal-3828	189	91	θ	θ	NOUN
american_scientific_journal-3828	189	92	θ	θ	PUNCT
american_scientific_journal-3828	190	1	θ	θ	X
american_scientific_journal-3828	190	2	θ	θ	NOUN
american_scientific_journal-3828	190	3	α	α	NOUN
american_scientific_journal-3828	190	4	θ	θ	NOUN
american_scientific_journal-3828	190	5	θ	θ	NOUN
american_scientific_journal-3828	190	6	θ	θ	X
american_scientific_journal-3828	190	7	θ	θ	X
american_scientific_journal-3828	190	8	δ	δ	NOUN
american_scientific_journal-3828	190	9	θ	θ	NOUN
american_scientific_journal-3828	190	10	θ	θ	NOUN
american_scientific_journal-3828	190	11	θ	θ	X
american_scientific_journal-3828	190	12	θ	θ	NOUN
american_scientific_journal-3828	190	13	θ	θ	X
american_scientific_journal-3828	190	14	θ	θ	PUNCT
american_scientific_journal-3828	190	15	θ	θ	NOUN
american_scientific_journal-3828	190	16	α	α	NOUN
american_scientific_journal-3828	190	17	−	−	NOUN
american_scientific_journal-3828	190	18	−	−	PROPN
american_scientific_journal-3828	190	19	−	−	NOUN
american_scientific_journal-3828	190	20	−	−	PROPN
american_scientific_journal-3828	191	1	+	+	CCONJ
american_scientific_journal-3828	191	2	+	+	PUNCT
american_scientific_journal-3828	192	1	+	+	NUM
american_scientific_journal-3828	192	2	−	−	ADP
american_scientific_journal-3828	192	3	−	−	PROPN
american_scientific_journal-3828	193	1	+	+	CCONJ
american_scientific_journal-3828	193	2	+	+	PUNCT
american_scientific_journal-3828	193	3	+	+	PUNCT
american_scientific_journal-3828	194	1	+	+	NUM
american_scientific_journal-3828	194	2	−	−	ADP
american_scientific_journal-3828	194	3	−	−	NUM
american_scientific_journal-3828	194	4	−	−	NOUN
american_scientific_journal-3828	194	5	−	−	PROPN
american_scientific_journal-3828	194	6	−	−	PROPN
american_scientific_journal-3828	195	1	+	+	CCONJ
american_scientific_journal-3828	195	2	3	3	NUM
american_scientific_journal-3828	195	3	2	2	NUM
american_scientific_journal-3828	195	4	2	2	NUM
american_scientific_journal-3828	195	5	n	n	CCONJ
american_scientific_journal-3828	195	6	(	(	PUNCT
american_scientific_journal-3828	195	7	)	)	PUNCT
american_scientific_journal-3828	195	8	cos(4	cos(4	NOUN
american_scientific_journal-3828	195	9	)	)	PUNCT
american_scientific_journal-3828	195	10	1512cos(2	1512cos(2	NUM
american_scientific_journal-3828	195	11	)	)	PUNCT
american_scientific_journal-3828	195	12	6633	6633	NUM
american_scientific_journal-3828	195	13	72cos(3	72cos(3	NUM
american_scientific_journal-3828	195	14	)	)	PUNCT
american_scientific_journal-3828	195	15	144	144	NUM
american_scientific_journal-3828	195	16	cos(2	cos(2	NOUN
american_scientific_journal-3828	195	17	)	)	PUNCT
american_scientific_journal-3828	195	18	1116cos	1116cos	NUM
american_scientific_journal-3828	195	19	(	(	PUNCT
american_scientific_journal-3828	195	20	)	)	PUNCT
american_scientific_journal-3828	195	21	)	)	PUNCT
american_scientific_journal-3828	195	22	.	.	PUNCT
american_scientific_journal-3828	196	1	θ	θ	X
american_scientific_journal-3828	197	1	θ	θ	PUNCT
american_scientific_journal-3828	197	2	θ	θ	PUNCT
american_scientific_journal-3828	198	1	θ	θ	NOUN
american_scientific_journal-3828	198	2	θ	θ	NOUN
american_scientific_journal-3828	199	1	θ	θ	NOUN
american_scientific_journal-3828	199	2	θ	θ	PUNCT
american_scientific_journal-3828	199	3	θ	θ	X
american_scientific_journal-3828	199	4	θ	θ	NOUN
american_scientific_journal-3828	199	5	−	−	NOUN
american_scientific_journal-3828	200	1	−	−	PROPN
american_scientific_journal-3828	201	1	+	+	CCONJ
american_scientific_journal-3828	201	2	−	−	PROPN
american_scientific_journal-3828	202	1	+	+	CCONJ
american_scientific_journal-3828	202	2	+	+	CCONJ
american_scientific_journal-3828	202	3	(	(	PUNCT
american_scientific_journal-3828	202	4	24	24	NUM
american_scientific_journal-3828	202	5	)	)	PUNCT
american_scientific_journal-3828	202	6	american	american	ADJ
american_scientific_journal-3828	202	7	scientific	scientific	ADJ
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american_scientific_journal-3828	202	12	,	,	PUNCT
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american_scientific_journal-3828	202	14	,	,	PUNCT
american_scientific_journal-3828	202	15	and	and	CCONJ
american_scientific_journal-3828	202	16	sciences	science	NOUN
american_scientific_journal-3828	202	17	(	(	PUNCT
american_scientific_journal-3828	202	18	asrjets	asrjet	NOUN
american_scientific_journal-3828	202	19	)	)	PUNCT
american_scientific_journal-3828	202	20	(	(	PUNCT
american_scientific_journal-3828	202	21	2018	2018	NUM
american_scientific_journal-3828	202	22	)	)	PUNCT
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american_scientific_journal-3828	202	24	47	47	NUM
american_scientific_journal-3828	202	25	,	,	PUNCT
american_scientific_journal-3828	202	26	no	no	DET
american_scientific_journal-3828	202	27	1	1	NUM
american_scientific_journal-3828	202	28	,	,	PUNCT
american_scientific_journal-3828	202	29	pp	pp	ADV
american_scientific_journal-3828	202	30	103	103	NUM
american_scientific_journal-3828	202	31	-	-	SYM
american_scientific_journal-3828	202	32	115	115	NUM
american_scientific_journal-3828	202	33	111	111	NUM
american_scientific_journal-3828	202	34	now	now	ADV
american_scientific_journal-3828	202	35	,	,	PUNCT
american_scientific_journal-3828	202	36	from	from	ADP
american_scientific_journal-3828	202	37	(	(	PUNCT
american_scientific_journal-3828	202	38	7	7	NUM
american_scientific_journal-3828	202	39	)	)	PUNCT
american_scientific_journal-3828	202	40	,	,	PUNCT
american_scientific_journal-3828	202	41	we	we	PRON
american_scientific_journal-3828	202	42	obtain	obtain	VERB
american_scientific_journal-3828	202	43	a	a	DET
american_scientific_journal-3828	202	44	third	third	ADJ
american_scientific_journal-3828	202	45	order	order	NOUN
american_scientific_journal-3828	202	46	approximation	approximation	NOUN
american_scientific_journal-3828	202	47	,	,	PUNCT
american_scientific_journal-3828	202	48	then	then	ADV
american_scientific_journal-3828	202	49	considering	consider	VERB
american_scientific_journal-3828	202	50	1p	1p	NUM
american_scientific_journal-3828	202	51	→	→	SYM
american_scientific_journal-3828	202	52	yields	yield	NOUN
american_scientific_journal-3828	202	53	the	the	DET
american_scientific_journal-3828	202	54	approximate	approximate	ADJ
american_scientific_journal-3828	202	55	solution	solution	NOUN
american_scientific_journal-3828	202	56	of	of	ADP
american_scientific_journal-3828	202	57	(	(	PUNCT
american_scientific_journal-3828	202	58	9	9	NUM
american_scientific_journal-3828	202	59	)	)	PUNCT
american_scientific_journal-3828	202	60	as	as	ADP
american_scientific_journal-3828	202	61	3	3	NUM
american_scientific_journal-3828	202	62	1	1	NUM
american_scientific_journal-3828	202	63	=	=	SYM
american_scientific_journal-3828	202	64	0	0	NUM
american_scientific_journal-3828	202	65	(	(	PUNCT
american_scientific_journal-3828	202	66	)	)	PUNCT
american_scientific_journal-3828	202	67	=	=	SYM
american_scientific_journal-3828	202	68	(	(	PUNCT
american_scientific_journal-3828	202	69	)	)	PUNCT
american_scientific_journal-3828	202	70	=	=	SYM
american_scientific_journal-3828	202	71	,	,	PUNCT
american_scientific_journal-3828	202	72	lim	lim	PROPN
american_scientific_journal-3828	203	1	i	i	PRON
american_scientific_journal-3828	203	2	p	p	X
american_scientific_journal-3828	204	1	i	i	PRON
american_scientific_journal-3828	204	2	u	u	NOUN
american_scientific_journal-3828	204	3	t	t	NOUN
american_scientific_journal-3828	204	4	v	v	NOUN
american_scientific_journal-3828	204	5	t	t	PROPN
american_scientific_journal-3828	204	6	v	v	NOUN
american_scientific_journal-3828	204	7	→	→	PUNCT
american_scientific_journal-3828	204	8	∑	∑	PROPN
american_scientific_journal-3828	204	9	(	(	PUNCT
american_scientific_journal-3828	204	10	25	25	NUM
american_scientific_journal-3828	204	11	)	)	PUNCT
american_scientific_journal-3828	204	12	5	5	NUM
american_scientific_journal-3828	204	13	.	.	PUNCT
american_scientific_journal-3828	204	14	numerical	numerical	PROPN
american_scientific_journal-3828	204	15	simulation	simulation	PROPN
american_scientific_journal-3828	204	16	and	and	CCONJ
american_scientific_journal-3828	204	17	discussion	discussion	NOUN
american_scientific_journal-3828	204	18	figures	figure	VERB
american_scientific_journal-3828	204	19	1	1	NUM
american_scientific_journal-3828	204	20	-	-	SYM
american_scientific_journal-3828	204	21	2	2	NUM
american_scientific_journal-3828	204	22	show	show	VERB
american_scientific_journal-3828	204	23	a	a	DET
american_scientific_journal-3828	204	24	comparison	comparison	NOUN
american_scientific_journal-3828	204	25	between	between	ADP
american_scientific_journal-3828	204	26	the	the	DET
american_scientific_journal-3828	204	27	hpm	hpm	NOUN
american_scientific_journal-3828	204	28	approximations	approximation	NOUN
american_scientific_journal-3828	204	29	(	(	PUNCT
american_scientific_journal-3828	204	30	18	18	NUM
american_scientific_journal-3828	204	31	)	)	PUNCT
american_scientific_journal-3828	204	32	and	and	CCONJ
american_scientific_journal-3828	204	33	(	(	PUNCT
american_scientific_journal-3828	204	34	25	25	NUM
american_scientific_journal-3828	204	35	)	)	PUNCT
american_scientific_journal-3828	204	36	of	of	ADP
american_scientific_journal-3828	204	37	(	(	PUNCT
american_scientific_journal-3828	204	38	9	9	NUM
american_scientific_journal-3828	204	39	)	)	PUNCT
american_scientific_journal-3828	204	40	and	and	CCONJ
american_scientific_journal-3828	204	41	(	(	PUNCT
american_scientific_journal-3828	204	42	19	19	NUM
american_scientific_journal-3828	204	43	)	)	PUNCT
american_scientific_journal-3828	204	44	,	,	PUNCT
american_scientific_journal-3828	204	45	resulting	result	VERB
american_scientific_journal-3828	204	46	a	a	DET
american_scientific_journal-3828	204	47	good	good	ADJ
american_scientific_journal-3828	204	48	agreement	agreement	NOUN
american_scientific_journal-3828	204	49	with	with	ADP
american_scientific_journal-3828	204	50	numerical	numerical	ADJ
american_scientific_journal-3828	204	51	results	result	NOUN
american_scientific_journal-3828	204	52	.	.	PUNCT
american_scientific_journal-3828	205	1	the	the	DET
american_scientific_journal-3828	205	2	numerical	numerical	ADJ
american_scientific_journal-3828	205	3	algorithm	algorithm	PROPN
american_scientific_journal-3828	205	4	used	use	VERB
american_scientific_journal-3828	205	5	is	be	AUX
american_scientific_journal-3828	205	6	fehlberg	fehlberg	ADV
american_scientific_journal-3828	205	7	fourth	fourth	ADJ
american_scientific_journal-3828	205	8	-	-	PUNCT
american_scientific_journal-3828	205	9	fifth	fifth	ADJ
american_scientific_journal-3828	205	10	order	order	NOUN
american_scientific_journal-3828	205	11	rungekutta	rungekutta	NOUN
american_scientific_journal-3828	205	12	method	method	NOUN
american_scientific_journal-3828	205	13	with	with	ADP
american_scientific_journal-3828	205	14	degree	degree	NOUN
american_scientific_journal-3828	205	15	four	four	NUM
american_scientific_journal-3828	205	16	interpolant	interpolant	NOUN
american_scientific_journal-3828	205	17	(	(	PUNCT
american_scientific_journal-3828	205	18	rkf45	rkf45	ADJ
american_scientific_journal-3828	205	19	)	)	PUNCT
american_scientific_journal-3828	206	1	[	[	X
american_scientific_journal-3828	206	2	4	4	NUM
american_scientific_journal-3828	206	3	,	,	PUNCT
american_scientific_journal-3828	206	4	6	6	NUM
american_scientific_journal-3828	206	5	]	]	ADJ
american_scientific_journal-3828	206	6	solution	solution	NOUN
american_scientific_journal-3828	206	7	(	(	PUNCT
american_scientific_journal-3828	206	8	built	build	VERB
american_scientific_journal-3828	206	9	-	-	PUNCT
american_scientific_journal-3828	206	10	in	in	ADP
american_scientific_journal-3828	206	11	function	function	NOUN
american_scientific_journal-3828	206	12	of	of	ADP
american_scientific_journal-3828	206	13	maple	maple	NOUN
american_scientific_journal-3828	206	14	software	software	NOUN
american_scientific_journal-3828	206	15	.	.	PUNCT
american_scientific_journal-3828	207	1	furthermore	furthermore	ADV
american_scientific_journal-3828	207	2	,	,	PUNCT
american_scientific_journal-3828	207	3	in	in	ADP
american_scientific_journal-3828	207	4	order	order	NOUN
american_scientific_journal-3828	207	5	to	to	PART
american_scientific_journal-3828	207	6	obtain	obtain	VERB
american_scientific_journal-3828	207	7	a	a	DET
american_scientific_journal-3828	207	8	good	good	ADJ
american_scientific_journal-3828	207	9	numerical	numerical	ADJ
american_scientific_journal-3828	207	10	reference	reference	NOUN
american_scientific_journal-3828	207	11	the	the	DET
american_scientific_journal-3828	207	12	accuracy	accuracy	NOUN
american_scientific_journal-3828	207	13	of	of	ADP
american_scientific_journal-3828	207	14	rkf45	rkf45	PROPN
american_scientific_journal-3828	207	15	was	be	AUX
american_scientific_journal-3828	207	16	set	set	VERB
american_scientific_journal-3828	207	17	to	to	ADP
american_scientific_journal-3828	207	18	an	an	DET
american_scientific_journal-3828	207	19	absolute	absolute	ADJ
american_scientific_journal-3828	207	20	error	error	NOUN
american_scientific_journal-3828	207	21	of	of	ADP
american_scientific_journal-3828	207	22	1210−	1210−	NUM
american_scientific_journal-3828	207	23	and	and	CCONJ
american_scientific_journal-3828	207	24	relative	relative	ADJ
american_scientific_journal-3828	207	25	error	error	NOUN
american_scientific_journal-3828	207	26	of	of	ADP
american_scientific_journal-3828	207	27	1210−	1210−	NUM
american_scientific_journal-3828	207	28	.	.	PUNCT
american_scientific_journal-3828	208	1	for	for	ADP
american_scientific_journal-3828	208	2	the	the	DET
american_scientific_journal-3828	208	3	first	first	ADJ
american_scientific_journal-3828	208	4	case	case	NOUN
american_scientific_journal-3828	208	5	study	study	NOUN
american_scientific_journal-3828	208	6	,	,	PUNCT
american_scientific_journal-3828	208	7	the	the	DET
american_scientific_journal-3828	208	8	hpm	hpm	NOUN
american_scientific_journal-3828	208	9	solution	solution	NOUN
american_scientific_journal-3828	208	10	(	(	PUNCT
american_scientific_journal-3828	208	11	17	17	NUM
american_scientific_journal-3828	208	12	)	)	PUNCT
american_scientific_journal-3828	208	13	was	be	AUX
american_scientific_journal-3828	208	14	easily	easily	ADV
american_scientific_journal-3828	208	15	obtained	obtain	VERB
american_scientific_journal-3828	208	16	by	by	ADP
american_scientific_journal-3828	208	17	a	a	DET
american_scientific_journal-3828	208	18	straightforward	straightforward	ADJ
american_scientific_journal-3828	208	19	procedure	procedure	NOUN
american_scientific_journal-3828	208	20	.	.	PUNCT
american_scientific_journal-3828	209	1	however	however	ADV
american_scientific_journal-3828	209	2	,	,	PUNCT
american_scientific_journal-3828	209	3	the	the	DET
american_scientific_journal-3828	209	4	resulting	result	VERB
american_scientific_journal-3828	209	5	power	power	NOUN
american_scientific_journal-3828	209	6	series	series	NOUN
american_scientific_journal-3828	209	7	solution	solution	NOUN
american_scientific_journal-3828	209	8	diverge	diverge	NOUN
american_scientific_journal-3828	209	9	for	for	ADP
american_scientific_journal-3828	209	10	large	large	ADJ
american_scientific_journal-3828	209	11	periods	period	NOUN
american_scientific_journal-3828	209	12	of	of	ADP
american_scientific_journal-3828	209	13	time	time	NOUN
american_scientific_journal-3828	209	14	.	.	PUNCT
american_scientific_journal-3828	210	1	therefore	therefore	ADV
american_scientific_journal-3828	210	2	,	,	PUNCT
american_scientific_journal-3828	210	3	in	in	ADP
american_scientific_journal-3828	210	4	order	order	NOUN
american_scientific_journal-3828	210	5	to	to	PART
american_scientific_journal-3828	210	6	enlarge	enlarge	VERB
american_scientific_journal-3828	210	7	the	the	DET
american_scientific_journal-3828	210	8	convergence	convergence	NOUN
american_scientific_journal-3828	210	9	,	,	PUNCT
american_scientific_journal-3828	210	10	the	the	DET
american_scientific_journal-3828	210	11	laplace	laplace	NOUN
american_scientific_journal-3828	210	12	-	-	PUNCT
american_scientific_journal-3828	210	13	padé	padé	NOUN
american_scientific_journal-3828	210	14	resummation	resummation	NOUN
american_scientific_journal-3828	210	15	method	method	NOUN
american_scientific_journal-3828	210	16	was	be	AUX
american_scientific_journal-3828	210	17	successfully	successfully	ADV
american_scientific_journal-3828	210	18	applied	apply	VERB
american_scientific_journal-3828	210	19	to	to	ADP
american_scientific_journal-3828	210	20	(	(	PUNCT
american_scientific_journal-3828	210	21	17	17	NUM
american_scientific_journal-3828	210	22	)	)	PUNCT
american_scientific_journal-3828	210	23	to	to	PART
american_scientific_journal-3828	210	24	obtain	obtain	VERB
american_scientific_journal-3828	210	25	(	(	PUNCT
american_scientific_journal-3828	210	26	18	18	NUM
american_scientific_journal-3828	210	27	)	)	PUNCT
american_scientific_journal-3828	210	28	,	,	PUNCT
american_scientific_journal-3828	210	29	resulting	result	VERB
american_scientific_journal-3828	210	30	a	a	DET
american_scientific_journal-3828	210	31	good	good	ADJ
american_scientific_journal-3828	210	32	agreement	agreement	NOUN
american_scientific_journal-3828	210	33	with	with	ADP
american_scientific_journal-3828	210	34	rkf45	rkf45	ADJ
american_scientific_journal-3828	210	35	results	result	NOUN
american_scientific_journal-3828	210	36	for	for	ADP
american_scientific_journal-3828	210	37	the	the	DET
american_scientific_journal-3828	210	38	complete	complete	ADJ
american_scientific_journal-3828	210	39	trajectory	trajectory	NOUN
american_scientific_journal-3828	210	40	of	of	ADP
american_scientific_journal-3828	210	41	the	the	DET
american_scientific_journal-3828	210	42	golf	golf	NOUN
american_scientific_journal-3828	210	43	ball	ball	NOUN
american_scientific_journal-3828	210	44	.	.	PUNCT
american_scientific_journal-3828	211	1	using	use	VERB
american_scientific_journal-3828	211	2	the	the	DET
american_scientific_journal-3828	211	3	approximations	approximation	NOUN
american_scientific_journal-3828	211	4	,	,	PUNCT
american_scientific_journal-3828	211	5	we	we	PRON
american_scientific_journal-3828	211	6	obtain	obtain	VERB
american_scientific_journal-3828	211	7	a	a	DET
american_scientific_journal-3828	211	8	predicted	predict	VERB
american_scientific_journal-3828	211	9	impact	impact	NOUN
american_scientific_journal-3828	211	10	point	point	NOUN
american_scientific_journal-3828	211	11	of	of	ADP
american_scientific_journal-3828	211	12	223.2487023	223.2487023	NUM
american_scientific_journal-3828	211	13	m	m	NOUN
american_scientific_journal-3828	211	14	with	with	ADP
american_scientific_journal-3828	211	15	a	a	DET
american_scientific_journal-3828	211	16	relative	relative	ADJ
american_scientific_journal-3828	211	17	error	error	NOUN
american_scientific_journal-3828	211	18	of	of	ADP
american_scientific_journal-3828	211	19	35	35	NUM
american_scientific_journal-3828	211	20	10−×	10−×	NUM
american_scientific_journal-3828	211	21	.	.	PUNCT
american_scientific_journal-3828	212	1	this	this	DET
american_scientific_journal-3828	212	2	result	result	NOUN
american_scientific_journal-3828	212	3	exhibited	exhibit	VERB
american_scientific_journal-3828	212	4	the	the	DET
american_scientific_journal-3828	212	5	high	high	ADJ
american_scientific_journal-3828	212	6	accuracy	accuracy	NOUN
american_scientific_journal-3828	212	7	of	of	ADP
american_scientific_journal-3828	212	8	the	the	DET
american_scientific_journal-3828	212	9	proposed	propose	VERB
american_scientific_journal-3828	212	10	solution	solution	NOUN
american_scientific_journal-3828	212	11	.	.	PUNCT
american_scientific_journal-3828	213	1	for	for	ADP
american_scientific_journal-3828	213	2	the	the	DET
american_scientific_journal-3828	213	3	second	second	ADJ
american_scientific_journal-3828	213	4	case	case	NOUN
american_scientific_journal-3828	213	5	study	study	NOUN
american_scientific_journal-3828	213	6	,	,	PUNCT
american_scientific_journal-3828	213	7	we	we	PRON
american_scientific_journal-3828	213	8	obtained	obtain	VERB
american_scientific_journal-3828	213	9	the	the	DET
american_scientific_journal-3828	213	10	hpm	hpm	NOUN
american_scientific_journal-3828	213	11	approximation	approximation	NOUN
american_scientific_journal-3828	213	12	(	(	PUNCT
american_scientific_journal-3828	213	13	25	25	NUM
american_scientific_journal-3828	213	14	)	)	PUNCT
american_scientific_journal-3828	213	15	of	of	ADP
american_scientific_journal-3828	213	16	(	(	PUNCT
american_scientific_journal-3828	213	17	19	19	NUM
american_scientific_journal-3828	213	18	)	)	PUNCT
american_scientific_journal-3828	213	19	,	,	PUNCT
american_scientific_journal-3828	213	20	resulting	result	VERB
american_scientific_journal-3828	213	21	a	a	DET
american_scientific_journal-3828	213	22	good	good	ADJ
american_scientific_journal-3828	213	23	agreement	agreement	NOUN
american_scientific_journal-3828	213	24	(	(	PUNCT
american_scientific_journal-3828	213	25	<	<	X
american_scientific_journal-3828	213	26	10θ	10θ	NOUN
american_scientific_journal-3828	213	27	)	)	PUNCT
american_scientific_journal-3828	213	28	with	with	ADP
american_scientific_journal-3828	213	29	numerical	numerical	ADJ
american_scientific_journal-3828	213	30	results	result	NOUN
american_scientific_journal-3828	213	31	as	as	SCONJ
american_scientific_journal-3828	213	32	depicted	depict	VERB
american_scientific_journal-3828	213	33	in	in	ADP
american_scientific_journal-3828	213	34	figure	figure	NOUN
american_scientific_journal-3828	213	35	2	2	NUM
american_scientific_journal-3828	213	36	and	and	CCONJ
american_scientific_journal-3828	213	37	figure	figure	VERB
american_scientific_journal-3828	213	38	3	3	NUM
american_scientific_journal-3828	213	39	.	.	PUNCT
american_scientific_journal-3828	214	1	the	the	DET
american_scientific_journal-3828	214	2	accuracy	accuracy	NOUN
american_scientific_journal-3828	214	3	of	of	ADP
american_scientific_journal-3828	214	4	the	the	DET
american_scientific_journal-3828	214	5	proposed	propose	VERB
american_scientific_journal-3828	214	6	approximation	approximation	NOUN
american_scientific_journal-3828	214	7	decrease	decrease	NOUN
american_scientific_journal-3828	214	8	as	as	ADP
american_scientific_journal-3828	214	9	θ	θ	PROPN
american_scientific_journal-3828	214	10	increases	increase	VERB
american_scientific_journal-3828	214	11	due	due	ADJ
american_scientific_journal-3828	214	12	to	to	ADP
american_scientific_journal-3828	214	13	the	the	DET
american_scientific_journal-3828	214	14	secular	secular	ADJ
american_scientific_journal-3828	214	15	terms	term	NOUN
american_scientific_journal-3828	214	16	of	of	ADP
american_scientific_journal-3828	214	17	the	the	DET
american_scientific_journal-3828	214	18	approximation	approximation	NOUN
american_scientific_journal-3828	214	19	.	.	PUNCT
american_scientific_journal-3828	215	1	figure	figure	NOUN
american_scientific_journal-3828	215	2	1	1	NUM
american_scientific_journal-3828	215	3	:	:	PUNCT
american_scientific_journal-3828	215	4	lphpm	lphpm	NOUN
american_scientific_journal-3828	215	5	solution	solution	NOUN
american_scientific_journal-3828	215	6	(	(	PUNCT
american_scientific_journal-3828	215	7	18	18	NUM
american_scientific_journal-3828	215	8	)	)	PUNCT
american_scientific_journal-3828	215	9	(	(	PUNCT
american_scientific_journal-3828	215	10	solid	solid	ADJ
american_scientific_journal-3828	215	11	-	-	PUNCT
american_scientific_journal-3828	215	12	line	line	NOUN
american_scientific_journal-3828	215	13	)	)	PUNCT
american_scientific_journal-3828	215	14	for	for	ADP
american_scientific_journal-3828	215	15	(	(	PUNCT
american_scientific_journal-3828	215	16	9	9	NUM
american_scientific_journal-3828	215	17	)	)	PUNCT
american_scientific_journal-3828	215	18	,	,	PUNCT
american_scientific_journal-3828	215	19	and	and	CCONJ
american_scientific_journal-3828	215	20	its	its	PRON
american_scientific_journal-3828	215	21	rkf45	rkf45	ADJ
american_scientific_journal-3828	215	22	solution	solution	NOUN
american_scientific_journal-3828	215	23	(	(	PUNCT
american_scientific_journal-3828	215	24	dash	dash	NOUN
american_scientific_journal-3828	215	25	-	-	PUNCT
american_scientific_journal-3828	215	26	dot	dot	NOUN
american_scientific_journal-3828	215	27	)	)	PUNCT
american_scientific_journal-3828	215	28	american	american	ADJ
american_scientific_journal-3828	215	29	scientific	scientific	ADJ
american_scientific_journal-3828	215	30	research	research	NOUN
american_scientific_journal-3828	215	31	journal	journal	NOUN
american_scientific_journal-3828	215	32	for	for	ADP
american_scientific_journal-3828	215	33	engineering	engineering	NOUN
american_scientific_journal-3828	215	34	,	,	PUNCT
american_scientific_journal-3828	215	35	technology	technology	NOUN
american_scientific_journal-3828	215	36	,	,	PUNCT
american_scientific_journal-3828	215	37	and	and	CCONJ
american_scientific_journal-3828	215	38	sciences	science	NOUN
american_scientific_journal-3828	215	39	(	(	PUNCT
american_scientific_journal-3828	215	40	asrjets	asrjet	NOUN
american_scientific_journal-3828	215	41	)	)	PUNCT
american_scientific_journal-3828	215	42	(	(	PUNCT
american_scientific_journal-3828	215	43	2018	2018	NUM
american_scientific_journal-3828	215	44	)	)	PUNCT
american_scientific_journal-3828	215	45	volume	volume	NOUN
american_scientific_journal-3828	215	46	47	47	NUM
american_scientific_journal-3828	215	47	,	,	PUNCT
american_scientific_journal-3828	215	48	no	no	DET
american_scientific_journal-3828	215	49	1	1	NUM
american_scientific_journal-3828	215	50	,	,	PUNCT
american_scientific_journal-3828	215	51	pp	pp	ADV
american_scientific_journal-3828	215	52	103	103	NUM
american_scientific_journal-3828	215	53	-	-	SYM
american_scientific_journal-3828	215	54	115	115	NUM
american_scientific_journal-3828	215	55	112	112	NUM
american_scientific_journal-3828	215	56	figure	figure	NOUN
american_scientific_journal-3828	215	57	2	2	NUM
american_scientific_journal-3828	215	58	:	:	PUNCT
american_scientific_journal-3828	215	59	hpm	hpm	ADJ
american_scientific_journal-3828	215	60	third	third	ADJ
american_scientific_journal-3828	215	61	order	order	NOUN
american_scientific_journal-3828	215	62	solution	solution	NOUN
american_scientific_journal-3828	215	63	,	,	PUNCT
american_scientific_journal-3828	215	64	(	(	PUNCT
american_scientific_journal-3828	215	65	solid	solid	ADJ
american_scientific_journal-3828	215	66	-	-	PUNCT
american_scientific_journal-3828	215	67	line	line	NOUN
american_scientific_journal-3828	215	68	)	)	PUNCT
american_scientific_journal-3828	215	69	;	;	PUNCT
american_scientific_journal-3828	215	70	rkf45	rkf45	ADJ
american_scientific_journal-3828	215	71	solution	solution	NOUN
american_scientific_journal-3828	215	72	,	,	PUNCT
american_scientific_journal-3828	215	73	(	(	PUNCT
american_scientific_journal-3828	215	74	dash	dash	NOUN
american_scientific_journal-3828	215	75	-	-	PUNCT
american_scientific_journal-3828	215	76	dot	dot	NOUN
american_scientific_journal-3828	215	77	)	)	PUNCT
american_scientific_journal-3828	215	78	.	.	PUNCT
american_scientific_journal-3828	216	1	figure	figure	VERB
american_scientific_journal-3828	216	2	3	3	NUM
american_scientific_journal-3828	216	3	:	:	PUNCT
american_scientific_journal-3828	216	4	absolute	absolute	ADJ
american_scientific_journal-3828	216	5	error	error	NOUN
american_scientific_journal-3828	216	6	for	for	ADP
american_scientific_journal-3828	216	7	hpm	hpm	NOUN
american_scientific_journal-3828	216	8	with	with	ADP
american_scientific_journal-3828	216	9	respect	respect	NOUN
american_scientific_journal-3828	216	10	to	to	ADP
american_scientific_journal-3828	216	11	rkf45	rkf45	ADJ
american_scientific_journal-3828	216	12	numerical	numerical	ADJ
american_scientific_journal-3828	216	13	solution	solution	NOUN
american_scientific_journal-3828	216	14	6	6	NUM
american_scientific_journal-3828	216	15	.	.	PUNCT
american_scientific_journal-3828	217	1	concluding	conclude	VERB
american_scientific_journal-3828	217	2	remarks	remark	NOUN
american_scientific_journal-3828	217	3	in	in	ADP
american_scientific_journal-3828	217	4	this	this	DET
american_scientific_journal-3828	217	5	paper	paper	NOUN
american_scientific_journal-3828	217	6	,	,	PUNCT
american_scientific_journal-3828	217	7	hpm	hpm	NOUN
american_scientific_journal-3828	217	8	method	method	NOUN
american_scientific_journal-3828	217	9	is	be	AUX
american_scientific_journal-3828	217	10	applied	apply	VERB
american_scientific_journal-3828	217	11	to	to	PART
american_scientific_journal-3828	217	12	construct	construct	VERB
american_scientific_journal-3828	217	13	approximated	approximate	VERB
american_scientific_journal-3828	217	14	analytical	analytical	ADJ
american_scientific_journal-3828	217	15	solutions	solution	NOUN
american_scientific_journal-3828	217	16	for	for	ADP
american_scientific_journal-3828	217	17	the	the	DET
american_scientific_journal-3828	217	18	model	model	NOUN
american_scientific_journal-3828	217	19	for	for	ADP
american_scientific_journal-3828	217	20	a	a	DET
american_scientific_journal-3828	217	21	golf	golf	NOUN
american_scientific_journal-3828	217	22	ball	ball	NOUN
american_scientific_journal-3828	217	23	trajectory	trajectory	NOUN
american_scientific_journal-3828	217	24	and	and	CCONJ
american_scientific_journal-3828	217	25	mercury	mercury	NOUN
american_scientific_journal-3828	217	26	’s	’s	PART
american_scientific_journal-3828	217	27	orbit	orbit	NOUN
american_scientific_journal-3828	217	28	.	.	PUNCT
american_scientific_journal-3828	218	1	the	the	DET
american_scientific_journal-3828	218	2	numerical	numerical	ADJ
american_scientific_journal-3828	218	3	experiments	experiment	NOUN
american_scientific_journal-3828	218	4	and	and	CCONJ
american_scientific_journal-3828	218	5	error	error	NOUN
american_scientific_journal-3828	218	6	analysis	analysis	NOUN
american_scientific_journal-3828	218	7	are	be	AUX
american_scientific_journal-3828	218	8	presented	present	VERB
american_scientific_journal-3828	218	9	to	to	PART
american_scientific_journal-3828	218	10	support	support	VERB
american_scientific_journal-3828	218	11	the	the	DET
american_scientific_journal-3828	218	12	theoretical	theoretical	ADJ
american_scientific_journal-3828	218	13	results	result	NOUN
american_scientific_journal-3828	218	14	.	.	PUNCT
american_scientific_journal-3828	219	1	our	our	PRON
american_scientific_journal-3828	219	2	solutions	solution	NOUN
american_scientific_journal-3828	219	3	agree	agree	VERB
american_scientific_journal-3828	219	4	well	well	ADV
american_scientific_journal-3828	219	5	with	with	ADP
american_scientific_journal-3828	219	6	the	the	DET
american_scientific_journal-3828	219	7	pure	pure	ADJ
american_scientific_journal-3828	219	8	numerical	numerical	ADJ
american_scientific_journal-3828	219	9	solutions	solution	NOUN
american_scientific_journal-3828	219	10	.	.	PUNCT
american_scientific_journal-3828	220	1	american	american	ADJ
american_scientific_journal-3828	220	2	scientific	scientific	ADJ
american_scientific_journal-3828	220	3	research	research	PROPN
american_scientific_journal-3828	220	4	journal	journal	NOUN
american_scientific_journal-3828	220	5	for	for	ADP
american_scientific_journal-3828	220	6	engineering	engineering	NOUN
american_scientific_journal-3828	220	7	,	,	PUNCT
american_scientific_journal-3828	220	8	technology	technology	NOUN
american_scientific_journal-3828	220	9	,	,	PUNCT
american_scientific_journal-3828	220	10	and	and	CCONJ
american_scientific_journal-3828	220	11	sciences	science	NOUN
american_scientific_journal-3828	220	12	(	(	PUNCT
american_scientific_journal-3828	220	13	asrjets	asrjet	NOUN
american_scientific_journal-3828	220	14	)	)	PUNCT
american_scientific_journal-3828	220	15	(	(	PUNCT
american_scientific_journal-3828	220	16	2018	2018	NUM
american_scientific_journal-3828	220	17	)	)	PUNCT
american_scientific_journal-3828	220	18	volume	volume	NOUN
american_scientific_journal-3828	220	19	47	47	NUM
american_scientific_journal-3828	220	20	,	,	PUNCT
american_scientific_journal-3828	220	21	no	no	DET
american_scientific_journal-3828	220	22	1	1	NUM
american_scientific_journal-3828	220	23	,	,	PUNCT
american_scientific_journal-3828	220	24	pp	pp	ADV
american_scientific_journal-3828	220	25	103	103	NUM
american_scientific_journal-3828	220	26	-	-	SYM
american_scientific_journal-3828	220	27	115	115	NUM
american_scientific_journal-3828	220	28	113	113	NUM
american_scientific_journal-3828	220	29	acknowledgements	acknowledgement	NOUN
american_scientific_journal-3828	220	30	all	all	DET
american_scientific_journal-3828	220	31	the	the	DET
american_scientific_journal-3828	220	32	authors	author	NOUN
american_scientific_journal-3828	220	33	express	express	VERB
american_scientific_journal-3828	220	34	our	our	PRON
american_scientific_journal-3828	220	35	appreciation	appreciation	NOUN
american_scientific_journal-3828	220	36	to	to	ADP
american_scientific_journal-3828	220	37	the	the	DET
american_scientific_journal-3828	220	38	late	late	ADJ
american_scientific_journal-3828	220	39	professor	professor	NOUN
american_scientific_journal-3828	220	40	jose	jose	PROPN
american_scientific_journal-3828	220	41	antonio	antonio	PROPN
american_scientific_journal-3828	220	42	agustin	agustin	PROPN
american_scientific_journal-3828	220	43	perez	perez	PROPN
american_scientific_journal-3828	220	44	-	-	PUNCT
american_scientific_journal-3828	220	45	sesma	sesma	NOUN
american_scientific_journal-3828	220	46	whose	whose	DET
american_scientific_journal-3828	220	47	contribution	contribution	NOUN
american_scientific_journal-3828	220	48	to	to	ADP
american_scientific_journal-3828	220	49	this	this	DET
american_scientific_journal-3828	220	50	work	work	NOUN
american_scientific_journal-3828	220	51	was	be	AUX
american_scientific_journal-3828	220	52	of	of	ADP
american_scientific_journal-3828	220	53	great	great	ADJ
american_scientific_journal-3828	220	54	significance	significance	NOUN
american_scientific_journal-3828	220	55	.	.	PUNCT
american_scientific_journal-3828	221	1	the	the	DET
american_scientific_journal-3828	221	2	authors	author	NOUN
american_scientific_journal-3828	221	3	would	would	AUX
american_scientific_journal-3828	221	4	like	like	VERB
american_scientific_journal-3828	221	5	to	to	PART
american_scientific_journal-3828	221	6	express	express	VERB
american_scientific_journal-3828	221	7	their	their	PRON
american_scientific_journal-3828	221	8	gratitude	gratitude	NOUN
american_scientific_journal-3828	221	9	to	to	ADP
american_scientific_journal-3828	221	10	roberto	roberto	PROPN
american_scientific_journal-3828	221	11	ruiz	ruiz	PROPN
american_scientific_journal-3828	221	12	-	-	PUNCT
american_scientific_journal-3828	221	13	gomez	gomez	PROPN
american_scientific_journal-3828	221	14	for	for	ADP
american_scientific_journal-3828	221	15	his	his	PRON
american_scientific_journal-3828	221	16	contribution	contribution	NOUN
american_scientific_journal-3828	221	17	to	to	ADP
american_scientific_journal-3828	221	18	this	this	DET
american_scientific_journal-3828	221	19	paper	paper	NOUN
american_scientific_journal-3828	221	20	.	.	PUNCT
american_scientific_journal-3828	222	1	references	reference	NOUN
american_scientific_journal-3828	222	2	[	[	X
american_scientific_journal-3828	222	3	1	1	X
american_scientific_journal-3828	222	4	]	]	X
american_scientific_journal-3828	222	5	ahmet	ahmet	PROPN
american_scientific_journal-3828	222	6	yildirim	yildirim	PROPN
american_scientific_journal-3828	222	7	and	and	CCONJ
american_scientific_journal-3828	222	8	hüseyin	hüseyin	PROPN
american_scientific_journal-3828	222	9	koçak	koçak	PROPN
american_scientific_journal-3828	222	10	.	.	PUNCT
american_scientific_journal-3828	223	1	homotopy	homotopy	VERB
american_scientific_journal-3828	223	2	perturbation	perturbation	NOUN
american_scientific_journal-3828	223	3	method	method	NOUN
american_scientific_journal-3828	223	4	for	for	ADP
american_scientific_journal-3828	223	5	solving	solve	VERB
american_scientific_journal-3828	223	6	the	the	DET
american_scientific_journal-3828	223	7	space	space	NOUN
american_scientific_journal-3828	223	8	-	-	PUNCT
american_scientific_journal-3828	223	9	time	time	NOUN
american_scientific_journal-3828	223	10	fractional	fractional	ADJ
american_scientific_journal-3828	223	11	advection	advection	NOUN
american_scientific_journal-3828	223	12	-	-	PUNCT
american_scientific_journal-3828	223	13	dispersion	dispersion	NOUN
american_scientific_journal-3828	223	14	equation	equation	NOUN
american_scientific_journal-3828	223	15	.	.	PUNCT
american_scientific_journal-3828	224	1	advances	advance	NOUN
american_scientific_journal-3828	224	2	in	in	ADP
american_scientific_journal-3828	224	3	water	water	NOUN
american_scientific_journal-3828	224	4	resources	resource	NOUN
american_scientific_journal-3828	224	5	,	,	PUNCT
american_scientific_journal-3828	224	6	32(12):1711–1716	32(12):1711–1716	NUM
american_scientific_journal-3828	224	7	,	,	PUNCT
american_scientific_journal-3828	224	8	2009	2009	NUM
american_scientific_journal-3828	224	9	.	.	PUNCT
american_scientific_journal-3828	225	1	doi:10.1016	doi:10.1016	PROPN
american_scientific_journal-3828	225	2	/	/	SYM
american_scientific_journal-3828	225	3	j.advwatres.2009.09.003	j.advwatres.2009.09.003	PROPN
american_scientific_journal-3828	226	1	[	[	X
american_scientific_journal-3828	226	2	2	2	NUM
american_scientific_journal-3828	226	3	]	]	X
american_scientific_journal-3828	226	4	d.	d.	PROPN
american_scientific_journal-3828	226	5	bahuguna	bahuguna	PROPN
american_scientific_journal-3828	226	6	,	,	PUNCT
american_scientific_journal-3828	226	7	a.	a.	PROPN
american_scientific_journal-3828	226	8	ujlayan	ujlayan	PROPN
american_scientific_journal-3828	226	9	,	,	PUNCT
american_scientific_journal-3828	226	10	and	and	CCONJ
american_scientific_journal-3828	226	11	d.n	d.n	PROPN
american_scientific_journal-3828	226	12	.	.	PROPN
american_scientific_journal-3828	226	13	pandey	pandey	PROPN
american_scientific_journal-3828	226	14	.	.	PUNCT
american_scientific_journal-3828	227	1	a	a	DET
american_scientific_journal-3828	227	2	comparative	comparative	ADJ
american_scientific_journal-3828	227	3	study	study	NOUN
american_scientific_journal-3828	227	4	of	of	ADP
american_scientific_journal-3828	227	5	numerical	numerical	ADJ
american_scientific_journal-3828	227	6	methods	method	NOUN
american_scientific_journal-3828	227	7	for	for	ADP
american_scientific_journal-3828	227	8	solving	solve	VERB
american_scientific_journal-3828	227	9	an	an	DET
american_scientific_journal-3828	227	10	integro	integro	ADJ
american_scientific_journal-3828	227	11	-	-	PUNCT
american_scientific_journal-3828	227	12	differential	differential	NOUN
american_scientific_journal-3828	227	13	equation	equation	NOUN
american_scientific_journal-3828	227	14	.	.	PUNCT
american_scientific_journal-3828	228	1	computers	computer	NOUN
american_scientific_journal-3828	228	2	and	and	CCONJ
american_scientific_journal-3828	228	3	mathematics	mathematic	NOUN
american_scientific_journal-3828	228	4	with	with	ADP
american_scientific_journal-3828	228	5	applications	application	NOUN
american_scientific_journal-3828	228	6	,	,	PUNCT
american_scientific_journal-3828	228	7	57(9):1485	57(9):1485	NUM
american_scientific_journal-3828	228	8	–	–	PUNCT
american_scientific_journal-3828	228	9	1493	1493	NUM
american_scientific_journal-3828	228	10	,	,	PUNCT
american_scientific_journal-3828	228	11	2009	2009	NUM
american_scientific_journal-3828	228	12	.	.	PUNCT
american_scientific_journal-3828	229	1	doi:10.1016	doi:10.1016	PROPN
american_scientific_journal-3828	229	2	/	/	SYM
american_scientific_journal-3828	229	3	j.camwa.2008.10.097	j.camwa.2008.10.097	PROPN
american_scientific_journal-3828	230	1	[	[	X
american_scientific_journal-3828	230	2	3	3	X
american_scientific_journal-3828	230	3	]	]	X
american_scientific_journal-3828	230	4	abd	abd	PROPN
american_scientific_journal-3828	230	5	elhalim	elhalim	NOUN
american_scientific_journal-3828	230	6	ebaid	ebaid	PROPN
american_scientific_journal-3828	230	7	.	.	PUNCT
american_scientific_journal-3828	231	1	a	a	DET
american_scientific_journal-3828	231	2	reliable	reliable	ADJ
american_scientific_journal-3828	231	3	aftertreatment	aftertreatment	NOUN
american_scientific_journal-3828	231	4	for	for	ADP
american_scientific_journal-3828	231	5	improving	improve	VERB
american_scientific_journal-3828	231	6	the	the	DET
american_scientific_journal-3828	231	7	differential	differential	ADJ
american_scientific_journal-3828	231	8	transformation	transformation	NOUN
american_scientific_journal-3828	231	9	method	method	NOUN
american_scientific_journal-3828	231	10	and	and	CCONJ
american_scientific_journal-3828	231	11	its	its	PRON
american_scientific_journal-3828	231	12	application	application	NOUN
american_scientific_journal-3828	231	13	to	to	PART
american_scientific_journal-3828	231	14	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	231	15	oscillators	oscillator	NOUN
american_scientific_journal-3828	231	16	with	with	ADP
american_scientific_journal-3828	231	17	fractional	fractional	ADJ
american_scientific_journal-3828	231	18	nonlinearities	nonlinearitie	NOUN
american_scientific_journal-3828	231	19	.	.	PUNCT
american_scientific_journal-3828	232	1	communications	communication	NOUN
american_scientific_journal-3828	232	2	in	in	ADP
american_scientific_journal-3828	232	3	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	232	4	science	science	NOUN
american_scientific_journal-3828	232	5	and	and	CCONJ
american_scientific_journal-3828	232	6	numerical	numerical	PROPN
american_scientific_journal-3828	232	7	simulation	simulation	PROPN
american_scientific_journal-3828	232	8	,	,	PUNCT
american_scientific_journal-3828	232	9	16(1):528	16(1):528	NUM
american_scientific_journal-3828	232	10	–	–	PUNCT
american_scientific_journal-3828	232	11	536	536	NUM
american_scientific_journal-3828	232	12	,	,	PUNCT
american_scientific_journal-3828	232	13	2011	2011	NUM
american_scientific_journal-3828	232	14	.	.	PUNCT
american_scientific_journal-3828	233	1	doi:10.1016	doi:10.1016	PROPN
american_scientific_journal-3828	233	2	/	/	SYM
american_scientific_journal-3828	233	3	j.cnsns.2010.03.012	j.cnsns.2010.03.012	PROPN
american_scientific_journal-3828	234	1	[	[	X
american_scientific_journal-3828	234	2	4	4	NUM
american_scientific_journal-3828	234	3	]	]	X
american_scientific_journal-3828	234	4	w.h	w.h	PROPN
american_scientific_journal-3828	234	5	.	.	PROPN
american_scientific_journal-3828	234	6	enright	enright	PROPN
american_scientific_journal-3828	234	7	,	,	PUNCT
american_scientific_journal-3828	234	8	k.r	k.r	PROPN
american_scientific_journal-3828	234	9	.	.	PROPN
american_scientific_journal-3828	234	10	jackson	jackson	PROPN
american_scientific_journal-3828	234	11	,	,	PUNCT
american_scientific_journal-3828	234	12	s.p	s.p	PROPN
american_scientific_journal-3828	234	13	.	.	PROPN
american_scientific_journal-3828	234	14	abd	abd	PROPN
american_scientific_journal-3828	234	15	norsett	norsett	PROPN
american_scientific_journal-3828	234	16	,	,	PUNCT
american_scientific_journal-3828	234	17	and	and	CCONJ
american_scientific_journal-3828	234	18	p.g	p.g	PROPN
american_scientific_journal-3828	234	19	.	.	PROPN
american_scientific_journal-3828	234	20	thomsen	thomsen	PROPN
american_scientific_journal-3828	234	21	.	.	PUNCT
american_scientific_journal-3828	235	1	interpolants	interpolant	NOUN
american_scientific_journal-3828	235	2	for	for	ADP
american_scientific_journal-3828	235	3	runge	runge	NOUN
american_scientific_journal-3828	235	4	-	-	PUNCT
american_scientific_journal-3828	235	5	kutta	kutta	NOUN
american_scientific_journal-3828	235	6	formulas	formula	NOUN
american_scientific_journal-3828	235	7	.	.	PUNCT
american_scientific_journal-3828	236	1	acm	acm	PROPN
american_scientific_journal-3828	236	2	toms	tom	NOUN
american_scientific_journal-3828	236	3	,	,	PUNCT
american_scientific_journal-3828	236	4	12:193–218	12:193–218	NUM
american_scientific_journal-3828	236	5	,	,	PUNCT
american_scientific_journal-3828	236	6	1986	1986	NUM
american_scientific_journal-3828	236	7	.	.	PUNCT
american_scientific_journal-3828	236	8	doi:10.1145/7921.7923	doi:10.1145/7921.7923	PROPN
american_scientific_journal-3828	237	1	[	[	X
american_scientific_journal-3828	237	2	5	5	NUM
american_scientific_journal-3828	237	3	]	]	PUNCT
american_scientific_journal-3828	237	4	naeem	naeem	PROPN
american_scientific_journal-3828	237	5	faraz	faraz	PROPN
american_scientific_journal-3828	237	6	and	and	CCONJ
american_scientific_journal-3828	237	7	yasir	yasir	PROPN
american_scientific_journal-3828	237	8	khan	khan	PROPN
american_scientific_journal-3828	237	9	.	.	PUNCT
american_scientific_journal-3828	238	1	analytical	analytical	ADJ
american_scientific_journal-3828	238	2	solution	solution	NOUN
american_scientific_journal-3828	238	3	of	of	ADP
american_scientific_journal-3828	238	4	electrically	electrically	ADV
american_scientific_journal-3828	238	5	conducted	conduct	VERB
american_scientific_journal-3828	238	6	rotating	rotate	VERB
american_scientific_journal-3828	238	7	flow	flow	NOUN
american_scientific_journal-3828	238	8	of	of	ADP
american_scientific_journal-3828	238	9	a	a	DET
american_scientific_journal-3828	238	10	second	second	ADJ
american_scientific_journal-3828	238	11	grade	grade	NOUN
american_scientific_journal-3828	238	12	fluid	fluid	NOUN
american_scientific_journal-3828	238	13	over	over	ADP
american_scientific_journal-3828	238	14	a	a	DET
american_scientific_journal-3828	238	15	shrinking	shrink	VERB
american_scientific_journal-3828	238	16	surface	surface	NOUN
american_scientific_journal-3828	238	17	.	.	PUNCT
american_scientific_journal-3828	239	1	ain	ain	PROPN
american_scientific_journal-3828	239	2	shams	sham	VERB
american_scientific_journal-3828	239	3	engineering	engineering	NOUN
american_scientific_journal-3828	239	4	journal	journal	NOUN
american_scientific_journal-3828	239	5	,	,	PUNCT
american_scientific_journal-3828	239	6	2(3	2(3	PROPN
american_scientific_journal-3828	239	7	-	-	SYM
american_scientific_journal-3828	239	8	4):221	4):221	NUM
american_scientific_journal-3828	239	9	–	–	PUNCT
american_scientific_journal-3828	239	10	226	226	NUM
american_scientific_journal-3828	239	11	,	,	PUNCT
american_scientific_journal-3828	239	12	2011	2011	NUM
american_scientific_journal-3828	239	13	.	.	PUNCT
american_scientific_journal-3828	240	1	doi:10.1016	doi:10.1016	PROPN
american_scientific_journal-3828	240	2	/	/	SYM
american_scientific_journal-3828	240	3	j.asej.2011.10.001	j.asej.2011.10.001	PROPN
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american_scientific_journal-3828	241	3	]	]	PUNCT
american_scientific_journal-3828	241	4	e.	e.	PROPN
american_scientific_journal-3828	241	5	fehlberg	fehlberg	PROPN
american_scientific_journal-3828	241	6	.	.	PUNCT
american_scientific_journal-3828	242	1	klassische	klassische	PROPN
american_scientific_journal-3828	242	2	runge	runge	NOUN
american_scientific_journal-3828	242	3	-	-	PUNCT
american_scientific_journal-3828	242	4	kutta	kutta	NOUN
american_scientific_journal-3828	242	5	-	-	PUNCT
american_scientific_journal-3828	242	6	formeln	formeln	NOUN
american_scientific_journal-3828	242	7	vierter	vierter	ADV
american_scientific_journal-3828	242	8	und	und	NOUN
american_scientific_journal-3828	242	9	niedrigerer	niedrigerer	NOUN
american_scientific_journal-3828	242	10	ordnung	ordnung	ADJ
american_scientific_journal-3828	242	11	mit	mit	PROPN
american_scientific_journal-3828	242	12	schrittweitenkontrolle	schrittweitenkontrolle	NOUN
american_scientific_journal-3828	242	13	und	und	VERB
american_scientific_journal-3828	242	14	ihre	ihre	NOUN
american_scientific_journal-3828	242	15	anwendung	anwendung	PROPN
american_scientific_journal-3828	242	16	auf	auf	PROPN
american_scientific_journal-3828	242	17	waermeleitungsprobleme	waermeleitungsprobleme	NOUN
american_scientific_journal-3828	242	18	.	.	PUNCT
american_scientific_journal-3828	243	1	computing	computing	NOUN
american_scientific_journal-3828	243	2	,	,	PUNCT
american_scientific_journal-3828	243	3	6:61–71	6:61–71	PROPN
american_scientific_journal-3828	243	4	,	,	PUNCT
american_scientific_journal-3828	243	5	1970	1970	NUM
american_scientific_journal-3828	243	6	.	.	PUNCT
american_scientific_journal-3828	244	1	doi:10.1007	doi:10.1007	PROPN
american_scientific_journal-3828	244	2	/	/	SYM
american_scientific_journal-3828	244	3	bf02241732	bf02241732	PROPN
american_scientific_journal-3828	245	1	[	[	X
american_scientific_journal-3828	245	2	7	7	NUM
american_scientific_journal-3828	245	3	]	]	X
american_scientific_journal-3828	245	4	hector	hector	PROPN
american_scientific_journal-3828	245	5	vazquez	vazquez	NOUN
american_scientific_journal-3828	245	6	-	-	PUNCT
american_scientific_journal-3828	245	7	leal	leal	NOUN
american_scientific_journal-3828	245	8	.	.	PUNCT
american_scientific_journal-3828	246	1	generalized	generalized	ADJ
american_scientific_journal-3828	246	2	homotopy	homotopy	NOUN
american_scientific_journal-3828	246	3	method	method	NOUN
american_scientific_journal-3828	246	4	for	for	ADP
american_scientific_journal-3828	246	5	solving	solve	VERB
american_scientific_journal-3828	246	6	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	246	7	differential	differential	ADJ
american_scientific_journal-3828	246	8	equations	equation	NOUN
american_scientific_journal-3828	246	9	.	.	PUNCT
american_scientific_journal-3828	247	1	computational	computational	ADJ
american_scientific_journal-3828	247	2	and	and	CCONJ
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american_scientific_journal-3828	247	4	mathematics	mathematic	NOUN
american_scientific_journal-3828	247	5	,	,	PUNCT
american_scientific_journal-3828	247	6	33(1	33(1	NUM
american_scientific_journal-3828	247	7	):	):	PUNCT
american_scientific_journal-3828	247	8	275	275	NUM
american_scientific_journal-3828	247	9	-	-	SYM
american_scientific_journal-3828	247	10	288	288	NUM
american_scientific_journal-3828	247	11	,	,	PUNCT
american_scientific_journal-3828	247	12	2014	2014	NUM
american_scientific_journal-3828	247	13	.	.	PUNCT
american_scientific_journal-3828	248	1	doi:10.1007	doi:10.1007	VERB
american_scientific_journal-3828	248	2	/	/	SYM
american_scientific_journal-3828	248	3	s40314	s40314	NOUN
american_scientific_journal-3828	248	4	-	-	PUNCT
american_scientific_journal-3828	248	5	013	013	NUM
american_scientific_journal-3828	248	6	-	-	PUNCT
american_scientific_journal-3828	248	7	0060	0060	NUM
american_scientific_journal-3828	248	8	-	-	PUNCT
american_scientific_journal-3828	248	9	4	4	NUM
american_scientific_journal-3828	249	1	[	[	NOUN
american_scientific_journal-3828	249	2	8	8	NUM
american_scientific_journal-3828	249	3	]	]	X
american_scientific_journal-3828	249	4	ji	ji	PROPN
american_scientific_journal-3828	249	5	-	-	PROPN
american_scientific_journal-3828	249	6	huan	huan	PROPN
american_scientific_journal-3828	249	7	he	he	PRON
american_scientific_journal-3828	249	8	.	.	PUNCT
american_scientific_journal-3828	250	1	variational	variational	ADJ
american_scientific_journal-3828	250	2	iteration	iteration	NOUN
american_scientific_journal-3828	250	3	method	method	NOUN
american_scientific_journal-3828	250	4	-	-	PUNCT
american_scientific_journal-3828	250	5	some	some	DET
american_scientific_journal-3828	250	6	recent	recent	ADJ
american_scientific_journal-3828	250	7	results	result	NOUN
american_scientific_journal-3828	250	8	and	and	CCONJ
american_scientific_journal-3828	250	9	new	new	ADJ
american_scientific_journal-3828	250	10	interpretations	interpretation	NOUN
american_scientific_journal-3828	250	11	.	.	PUNCT
american_scientific_journal-3828	251	1	journal	journal	PROPN
american_scientific_journal-3828	251	2	of	of	ADP
american_scientific_journal-3828	251	3	computational	computational	ADJ
american_scientific_journal-3828	251	4	and	and	CCONJ
american_scientific_journal-3828	251	5	applied	applied	ADJ
american_scientific_journal-3828	251	6	mathematics	mathematic	NOUN
american_scientific_journal-3828	251	7	,	,	PUNCT
american_scientific_journal-3828	251	8	207(1):3	207(1):3	NUM
american_scientific_journal-3828	251	9	–	–	PUNCT
american_scientific_journal-3828	251	10	17	17	NUM
american_scientific_journal-3828	251	11	,	,	PUNCT
american_scientific_journal-3828	251	12	2007	2007	NUM
american_scientific_journal-3828	251	13	.	.	PUNCT
american_scientific_journal-3828	252	1	doi:10.1016	doi:10.1016	PROPN
american_scientific_journal-3828	252	2	/	/	SYM
american_scientific_journal-3828	252	3	j.cam.2006.07.009	j.cam.2006.07.009	PROPN
american_scientific_journal-3828	253	1	[	[	X
american_scientific_journal-3828	253	2	9	9	X
american_scientific_journal-3828	253	3	]	]	X
american_scientific_journal-3828	253	4	ji	ji	PROPN
american_scientific_journal-3828	253	5	-	-	PROPN
american_scientific_journal-3828	253	6	huan	huan	PROPN
american_scientific_journal-3828	253	7	he	he	PROPN
american_scientific_journal-3828	253	8	and	and	CCONJ
american_scientific_journal-3828	253	9	xu	xu	PROPN
american_scientific_journal-3828	253	10	-	-	PUNCT
american_scientific_journal-3828	253	11	hong	hong	PROPN
american_scientific_journal-3828	253	12	wu	wu	PROPN
american_scientific_journal-3828	253	13	.	.	PUNCT
american_scientific_journal-3828	254	1	variational	variational	ADJ
american_scientific_journal-3828	254	2	iteration	iteration	NOUN
american_scientific_journal-3828	254	3	method	method	NOUN
american_scientific_journal-3828	254	4	:	:	PUNCT
american_scientific_journal-3828	254	5	new	new	ADJ
american_scientific_journal-3828	254	6	development	development	NOUN
american_scientific_journal-3828	254	7	and	and	CCONJ
american_scientific_journal-3828	254	8	applications	application	NOUN
american_scientific_journal-3828	254	9	.	.	PUNCT
american_scientific_journal-3828	255	1	computers	computer	NOUN
american_scientific_journal-3828	255	2	and	and	CCONJ
american_scientific_journal-3828	255	3	mathematics	mathematic	NOUN
american_scientific_journal-3828	255	4	with	with	ADP
american_scientific_journal-3828	255	5	applications	application	NOUN
american_scientific_journal-3828	255	6	,	,	PUNCT
american_scientific_journal-3828	255	7	54(7	54(7	NOUN
american_scientific_journal-3828	255	8	-	-	SYM
american_scientific_journal-3828	255	9	8):881	8):881	NUM
american_scientific_journal-3828	255	10	–	–	PUNCT
american_scientific_journal-3828	255	11	894	894	NUM
american_scientific_journal-3828	255	12	,	,	PUNCT
american_scientific_journal-3828	255	13	2007	2007	NUM
american_scientific_journal-3828	255	14	.	.	PUNCT
american_scientific_journal-3828	256	1	doi:10.1016	doi:10.1016	PROPN
american_scientific_journal-3828	256	2	/	/	SYM
american_scientific_journal-3828	256	3	j.camwa.2006.12.083	j.camwa.2006.12.083	PROPN
american_scientific_journal-3828	257	1	[	[	X
american_scientific_journal-3828	257	2	10	10	NUM
american_scientific_journal-3828	257	3	]	]	X
american_scientific_journal-3828	257	4	ji	ji	PROPN
american_scientific_journal-3828	257	5	-	-	PROPN
american_scientific_journal-3828	257	6	huan	huan	PROPN
american_scientific_journal-3828	257	7	he	he	PROPN
american_scientific_journal-3828	257	8	.	.	PUNCT
american_scientific_journal-3828	258	1	notes	note	NOUN
american_scientific_journal-3828	258	2	on	on	ADP
american_scientific_journal-3828	258	3	the	the	DET
american_scientific_journal-3828	258	4	optimal	optimal	ADJ
american_scientific_journal-3828	258	5	variational	variational	ADJ
american_scientific_journal-3828	258	6	iteration	iteration	NOUN
american_scientific_journal-3828	258	7	method	method	NOUN
american_scientific_journal-3828	258	8	.	.	PUNCT
american_scientific_journal-3828	259	1	applied	apply	VERB
american_scientific_journal-3828	259	2	mathematics	mathematics	NOUN
american_scientific_journal-3828	259	3	letters	letter	NOUN
american_scientific_journal-3828	259	4	,	,	PUNCT
american_scientific_journal-3828	259	5	25(10):1579	25(10):1579	NUM
american_scientific_journal-3828	259	6	–	–	PUNCT
american_scientific_journal-3828	259	7	1581	1581	NUM
american_scientific_journal-3828	259	8	,	,	PUNCT
american_scientific_journal-3828	259	9	2012	2012	NUM
american_scientific_journal-3828	259	10	.	.	PUNCT
american_scientific_journal-3828	260	1	doi:10.1016	doi:10.1016	PROPN
american_scientific_journal-3828	260	2	/	/	SYM
american_scientific_journal-3828	260	3	j.aml.2012.01.004	j.aml.2012.01.004	PROPN
american_scientific_journal-3828	260	4	american	american	PROPN
american_scientific_journal-3828	260	5	scientific	scientific	ADJ
american_scientific_journal-3828	260	6	research	research	PROPN
american_scientific_journal-3828	260	7	journal	journal	NOUN
american_scientific_journal-3828	260	8	for	for	ADP
american_scientific_journal-3828	260	9	engineering	engineering	NOUN
american_scientific_journal-3828	260	10	,	,	PUNCT
american_scientific_journal-3828	260	11	technology	technology	NOUN
american_scientific_journal-3828	260	12	,	,	PUNCT
american_scientific_journal-3828	260	13	and	and	CCONJ
american_scientific_journal-3828	260	14	sciences	science	NOUN
american_scientific_journal-3828	260	15	(	(	PUNCT
american_scientific_journal-3828	260	16	asrjets	asrjet	NOUN
american_scientific_journal-3828	260	17	)	)	PUNCT
american_scientific_journal-3828	260	18	(	(	PUNCT
american_scientific_journal-3828	260	19	2018	2018	NUM
american_scientific_journal-3828	260	20	)	)	PUNCT
american_scientific_journal-3828	260	21	volume	volume	NOUN
american_scientific_journal-3828	260	22	47	47	NUM
american_scientific_journal-3828	260	23	,	,	PUNCT
american_scientific_journal-3828	260	24	no	no	DET
american_scientific_journal-3828	260	25	1	1	NUM
american_scientific_journal-3828	260	26	,	,	PUNCT
american_scientific_journal-3828	260	27	pp	pp	ADV
american_scientific_journal-3828	260	28	103	103	NUM
american_scientific_journal-3828	260	29	-	-	SYM
american_scientific_journal-3828	260	30	115	115	NUM
american_scientific_journal-3828	260	31	114	114	NUM
american_scientific_journal-3828	261	1	[	[	X
american_scientific_journal-3828	261	2	11	11	NUM
american_scientific_journal-3828	261	3	]	]	X
american_scientific_journal-3828	261	4	y.c	y.c	PROPN
american_scientific_journal-3828	261	5	.	.	PROPN
american_scientific_journal-3828	261	6	jiao	jiao	PROPN
american_scientific_journal-3828	261	7	,	,	PUNCT
american_scientific_journal-3828	261	8	y.	y.	PROPN
american_scientific_journal-3828	261	9	yamamoto	yamamoto	PROPN
american_scientific_journal-3828	261	10	,	,	PUNCT
american_scientific_journal-3828	261	11	c.	c.	PROPN
american_scientific_journal-3828	261	12	dang	dang	PROPN
american_scientific_journal-3828	261	13	,	,	PUNCT
american_scientific_journal-3828	261	14	and	and	CCONJ
american_scientific_journal-3828	261	15	y.	y.	PROPN
american_scientific_journal-3828	261	16	hao	hao	PROPN
american_scientific_journal-3828	261	17	.	.	PUNCT
american_scientific_journal-3828	262	1	an	an	DET
american_scientific_journal-3828	262	2	aftertreatment	aftertreatment	NOUN
american_scientific_journal-3828	262	3	technique	technique	NOUN
american_scientific_journal-3828	262	4	for	for	ADP
american_scientific_journal-3828	262	5	improving	improve	VERB
american_scientific_journal-3828	262	6	the	the	DET
american_scientific_journal-3828	262	7	accuracy	accuracy	NOUN
american_scientific_journal-3828	262	8	of	of	ADP
american_scientific_journal-3828	262	9	adomian	adomian	NOUN
american_scientific_journal-3828	262	10	’s	’s	PART
american_scientific_journal-3828	262	11	decomposition	decomposition	NOUN
american_scientific_journal-3828	262	12	method	method	NOUN
american_scientific_journal-3828	262	13	.	.	PUNCT
american_scientific_journal-3828	263	1	computers	computer	NOUN
american_scientific_journal-3828	263	2	and	and	CCONJ
american_scientific_journal-3828	263	3	mathematics	mathematic	NOUN
american_scientific_journal-3828	263	4	with	with	ADP
american_scientific_journal-3828	263	5	applications	application	NOUN
american_scientific_journal-3828	263	6	,	,	PUNCT
american_scientific_journal-3828	263	7	43(67):783–798	43(67):783–798	NUM
american_scientific_journal-3828	263	8	,	,	PUNCT
american_scientific_journal-3828	263	9	2002	2002	NUM
american_scientific_journal-3828	263	10	.	.	PUNCT
american_scientific_journal-3828	264	1	[	[	X
american_scientific_journal-3828	264	2	12	12	NUM
american_scientific_journal-3828	264	3	]	]	X
american_scientific_journal-3828	264	4	yasir	yasir	PROPN
american_scientific_journal-3828	264	5	khan	khan	PROPN
american_scientific_journal-3828	264	6	,	,	PUNCT
american_scientific_journal-3828	264	7	qingbiao	qingbiao	PROPN
american_scientific_journal-3828	264	8	wu	wu	PROPN
american_scientific_journal-3828	264	9	,	,	PUNCT
american_scientific_journal-3828	264	10	naeem	naeem	PROPN
american_scientific_journal-3828	264	11	faraz	faraz	PROPN
american_scientific_journal-3828	264	12	,	,	PUNCT
american_scientific_journal-3828	264	13	a.	a.	PROPN
american_scientific_journal-3828	264	14	yildirim	yildirim	PROPN
american_scientific_journal-3828	264	15	,	,	PUNCT
american_scientific_journal-3828	264	16	and	and	CCONJ
american_scientific_journal-3828	264	17	m.	m.	PROPN
american_scientific_journal-3828	264	18	madani	madani	PROPN
american_scientific_journal-3828	264	19	.	.	PUNCT
american_scientific_journal-3828	265	1	a	a	DET
american_scientific_journal-3828	265	2	new	new	ADJ
american_scientific_journal-3828	265	3	fractional	fractional	ADJ
american_scientific_journal-3828	265	4	analytical	analytical	ADJ
american_scientific_journal-3828	265	5	approach	approach	NOUN
american_scientific_journal-3828	265	6	via	via	ADP
american_scientific_journal-3828	265	7	a	a	DET
american_scientific_journal-3828	265	8	modified	modify	VERB
american_scientific_journal-3828	265	9	riemann	riemann	PROPN
american_scientific_journal-3828	265	10	-	-	PUNCT
american_scientific_journal-3828	265	11	liouville	liouville	VERB
american_scientific_journal-3828	265	12	derivative	derivative	NOUN
american_scientific_journal-3828	265	13	.	.	PUNCT
american_scientific_journal-3828	266	1	applied	apply	VERB
american_scientific_journal-3828	266	2	mathematics	mathematics	NOUN
american_scientific_journal-3828	266	3	letters	letter	NOUN
american_scientific_journal-3828	266	4	,	,	PUNCT
american_scientific_journal-3828	266	5	2011	2011	NUM
american_scientific_journal-3828	266	6	.	.	PUNCT
american_scientific_journal-3828	267	1	[	[	X
american_scientific_journal-3828	267	2	13	13	NUM
american_scientific_journal-3828	267	3	]	]	X
american_scientific_journal-3828	267	4	yasir	yasir	PROPN
american_scientific_journal-3828	267	5	khan	khan	PROPN
american_scientific_journal-3828	267	6	and	and	CCONJ
american_scientific_journal-3828	267	7	naeem	naeem	PROPN
american_scientific_journal-3828	267	8	faraz	faraz	PROPN
american_scientific_journal-3828	267	9	.	.	PUNCT
american_scientific_journal-3828	267	10	application	application	NOUN
american_scientific_journal-3828	267	11	of	of	ADP
american_scientific_journal-3828	267	12	modified	modify	VERB
american_scientific_journal-3828	267	13	laplace	laplace	NOUN
american_scientific_journal-3828	267	14	decomposition	decomposition	NOUN
american_scientific_journal-3828	267	15	method	method	NOUN
american_scientific_journal-3828	267	16	for	for	ADP
american_scientific_journal-3828	267	17	solving	solve	VERB
american_scientific_journal-3828	267	18	boundary	boundary	ADJ
american_scientific_journal-3828	267	19	layer	layer	NOUN
american_scientific_journal-3828	267	20	equation	equation	NOUN
american_scientific_journal-3828	267	21	.	.	PUNCT
american_scientific_journal-3828	268	1	journal	journal	PROPN
american_scientific_journal-3828	268	2	of	of	ADP
american_scientific_journal-3828	268	3	king	king	PROPN
american_scientific_journal-3828	268	4	saud	saud	PROPN
american_scientific_journal-3828	268	5	university	university	PROPN
american_scientific_journal-3828	268	6	science	science	NOUN
american_scientific_journal-3828	268	7	,	,	PUNCT
american_scientific_journal-3828	268	8	23(1):115	23(1):115	NUM
american_scientific_journal-3828	268	9	–	–	PUNCT
american_scientific_journal-3828	268	10	119	119	NUM
american_scientific_journal-3828	268	11	,	,	PUNCT
american_scientific_journal-3828	268	12	2011	2011	NUM
american_scientific_journal-3828	268	13	.	.	PUNCT
american_scientific_journal-3828	269	1	[	[	X
american_scientific_journal-3828	269	2	14	14	NUM
american_scientific_journal-3828	269	3	]	]	X
american_scientific_journal-3828	269	4	yasir	yasir	PROPN
american_scientific_journal-3828	269	5	khan	khan	PROPN
american_scientific_journal-3828	269	6	,	,	PUNCT
american_scientific_journal-3828	269	7	qingbiao	qingbiao	PROPN
american_scientific_journal-3828	269	8	wu	wu	PROPN
american_scientific_journal-3828	269	9	,	,	PUNCT
american_scientific_journal-3828	269	10	naeem	naeem	PROPN
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american_scientific_journal-3828	269	12	,	,	PUNCT
american_scientific_journal-3828	269	13	and	and	CCONJ
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american_scientific_journal-3828	269	16	.	.	PUNCT
american_scientific_journal-3828	270	1	the	the	DET
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american_scientific_journal-3828	270	3	of	of	ADP
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american_scientific_journal-3828	270	9	on	on	ADP
american_scientific_journal-3828	270	10	a	a	DET
american_scientific_journal-3828	270	11	thin	thin	ADJ
american_scientific_journal-3828	270	12	film	film	NOUN
american_scientific_journal-3828	270	13	flow	flow	NOUN
american_scientific_journal-3828	270	14	over	over	ADP
american_scientific_journal-3828	270	15	a	a	DET
american_scientific_journal-3828	270	16	shrinking	shrinking	NOUN
american_scientific_journal-3828	270	17	/	/	SYM
american_scientific_journal-3828	270	18	stretching	stretch	VERB
american_scientific_journal-3828	270	19	sheet	sheet	NOUN
american_scientific_journal-3828	270	20	.	.	PUNCT
american_scientific_journal-3828	271	1	computers	computer	NOUN
american_scientific_journal-3828	271	2	and	and	CCONJ
american_scientific_journal-3828	271	3	mathematics	mathematic	NOUN
american_scientific_journal-3828	271	4	with	with	ADP
american_scientific_journal-3828	271	5	applications	application	NOUN
american_scientific_journal-3828	271	6	,	,	PUNCT
american_scientific_journal-3828	271	7	61(11):3391	61(11):3391	NUM
american_scientific_journal-3828	271	8	–	–	PUNCT
american_scientific_journal-3828	271	9	3399	3399	NUM
american_scientific_journal-3828	271	10	,	,	PUNCT
american_scientific_journal-3828	271	11	2011	2011	NUM
american_scientific_journal-3828	271	12	.	.	PUNCT
american_scientific_journal-3828	272	1	[	[	X
american_scientific_journal-3828	272	2	15	15	NUM
american_scientific_journal-3828	272	3	]	]	X
american_scientific_journal-3828	272	4	h.	h.	NOUN
american_scientific_journal-3828	272	5	koçak	koçak	PROPN
american_scientific_journal-3828	272	6	,	,	PUNCT
american_scientific_journal-3828	272	7	a.	a.	PROPN
american_scientific_journal-3828	272	8	yildirim	yildirim	PROPN
american_scientific_journal-3828	272	9	,	,	PUNCT
american_scientific_journal-3828	272	10	d.h	d.h	PROPN
american_scientific_journal-3828	272	11	.	.	PROPN
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american_scientific_journal-3828	272	13	,	,	PUNCT
american_scientific_journal-3828	272	14	and	and	CCONJ
american_scientific_journal-3828	272	15	s.t	s.t	PROPN
american_scientific_journal-3828	272	16	.	.	PROPN
american_scientific_journal-3828	272	17	mohyud	mohyud	PROPN
american_scientific_journal-3828	272	18	-	-	PUNCT
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american_scientific_journal-3828	272	20	.	.	PUNCT
american_scientific_journal-3828	273	1	the	the	DET
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american_scientific_journal-3828	273	3	boubaker	boubaker	NOUN
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american_scientific_journal-3828	273	6	scheme	scheme	NOUN
american_scientific_journal-3828	273	7	(	(	PUNCT
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american_scientific_journal-3828	273	9	)	)	PUNCT
american_scientific_journal-3828	273	10	and	and	CCONJ
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american_scientific_journal-3828	273	12	perturbation	perturbation	NOUN
american_scientific_journal-3828	273	13	method	method	NOUN
american_scientific_journal-3828	273	14	(	(	PUNCT
american_scientific_journal-3828	273	15	hpm	hpm	NOUN
american_scientific_journal-3828	273	16	)	)	PUNCT
american_scientific_journal-3828	273	17	for	for	ADP
american_scientific_journal-3828	273	18	solving	solve	VERB
american_scientific_journal-3828	273	19	a	a	DET
american_scientific_journal-3828	273	20	standard	standard	ADJ
american_scientific_journal-3828	273	21	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	273	22	second	second	ADJ
american_scientific_journal-3828	273	23	-	-	PUNCT
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american_scientific_journal-3828	273	25	boundary	boundary	ADJ
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american_scientific_journal-3828	273	28	.	.	PUNCT
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american_scientific_journal-3828	274	2	and	and	CCONJ
american_scientific_journal-3828	274	3	computer	computer	NOUN
american_scientific_journal-3828	274	4	modelling	modelling	NOUN
american_scientific_journal-3828	274	5	,	,	PUNCT
american_scientific_journal-3828	274	6	54(1	54(1	PROPN
american_scientific_journal-3828	274	7	-	-	SYM
american_scientific_journal-3828	274	8	2):417	2):417	NUM
american_scientific_journal-3828	274	9	–	–	PUNCT
american_scientific_journal-3828	274	10	422	422	NUM
american_scientific_journal-3828	274	11	,	,	PUNCT
american_scientific_journal-3828	274	12	2011	2011	NUM
american_scientific_journal-3828	274	13	.	.	PUNCT
american_scientific_journal-3828	275	1	[	[	X
american_scientific_journal-3828	275	2	16	16	NUM
american_scientific_journal-3828	275	3	]	]	X
american_scientific_journal-3828	275	4	j.d	j.d	PROPN
american_scientific_journal-3828	275	5	.	.	PROPN
american_scientific_journal-3828	275	6	lambert	lambert	PROPN
american_scientific_journal-3828	275	7	.	.	PUNCT
american_scientific_journal-3828	276	1	numerical	numerical	ADJ
american_scientific_journal-3828	276	2	methods	method	NOUN
american_scientific_journal-3828	276	3	for	for	ADP
american_scientific_journal-3828	276	4	ordinary	ordinary	ADJ
american_scientific_journal-3828	276	5	differential	differential	ADJ
american_scientific_journal-3828	276	6	systems	system	NOUN
american_scientific_journal-3828	276	7	:	:	PUNCT
american_scientific_journal-3828	276	8	the	the	DET
american_scientific_journal-3828	276	9	initial	initial	ADJ
american_scientific_journal-3828	276	10	value	value	NOUN
american_scientific_journal-3828	276	11	problem	problem	NOUN
american_scientific_journal-3828	276	12	.	.	PUNCT
american_scientific_journal-3828	277	1	chichester	chichester	PROPN
american_scientific_journal-3828	277	2	-	-	PUNCT
american_scientific_journal-3828	277	3	uk	uk	PROPN
american_scientific_journal-3828	277	4	:	:	PUNCT
american_scientific_journal-3828	277	5	john	john	PROPN
american_scientific_journal-3828	277	6	wiley	wiley	PROPN
american_scientific_journal-3828	277	7	and	and	CCONJ
american_scientific_journal-3828	277	8	sons	son	NOUN
american_scientific_journal-3828	277	9	,	,	PUNCT
american_scientific_journal-3828	277	10	1991	1991	NUM
american_scientific_journal-3828	277	11	.	.	PUNCT
american_scientific_journal-3828	278	1	[	[	X
american_scientific_journal-3828	278	2	17	17	NUM
american_scientific_journal-3828	278	3	]	]	X
american_scientific_journal-3828	278	4	ahmet	ahmet	PROPN
american_scientific_journal-3828	278	5	gökdoğan	gökdoğan	NOUN
american_scientific_journal-3828	278	6	,	,	PUNCT
american_scientific_journal-3828	278	7	mehmet	mehmet	PROPN
american_scientific_journal-3828	278	8	merdan	merdan	PROPN
american_scientific_journal-3828	278	9	,	,	PUNCT
american_scientific_journal-3828	278	10	and	and	CCONJ
american_scientific_journal-3828	278	11	ahmet	ahmet	PROPN
american_scientific_journal-3828	278	12	yildirim	yildirim	PROPN
american_scientific_journal-3828	278	13	.	.	PUNCT
american_scientific_journal-3828	279	1	the	the	DET
american_scientific_journal-3828	279	2	modified	modify	VERB
american_scientific_journal-3828	279	3	algorithm	algorithm	NOUN
american_scientific_journal-3828	279	4	for	for	ADP
american_scientific_journal-3828	279	5	the	the	DET
american_scientific_journal-3828	279	6	differential	differential	ADJ
american_scientific_journal-3828	279	7	transform	transform	NOUN
american_scientific_journal-3828	279	8	method	method	NOUN
american_scientific_journal-3828	279	9	to	to	ADP
american_scientific_journal-3828	279	10	solution	solution	NOUN
american_scientific_journal-3828	279	11	of	of	ADP
american_scientific_journal-3828	279	12	genesio	genesio	ADJ
american_scientific_journal-3828	279	13	systems	system	NOUN
american_scientific_journal-3828	279	14	.	.	PUNCT
american_scientific_journal-3828	280	1	communications	communication	NOUN
american_scientific_journal-3828	280	2	in	in	ADP
american_scientific_journal-3828	280	3	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	280	4	science	science	NOUN
american_scientific_journal-3828	280	5	and	and	CCONJ
american_scientific_journal-3828	280	6	numerical	numerical	PROPN
american_scientific_journal-3828	280	7	simulation	simulation	PROPN
american_scientific_journal-3828	280	8	,	,	PUNCT
american_scientific_journal-3828	280	9	17(1):45	17(1):45	NUM
american_scientific_journal-3828	280	10	–	–	PUNCT
american_scientific_journal-3828	280	11	51	51	NUM
american_scientific_journal-3828	280	12	,	,	PUNCT
american_scientific_journal-3828	280	13	2012	2012	NUM
american_scientific_journal-3828	280	14	.	.	PUNCT
american_scientific_journal-3828	281	1	doi:10.1016	doi:10.1016	PROPN
american_scientific_journal-3828	281	2	/	/	SYM
american_scientific_journal-3828	281	3	j.cnsns.2011.03.039	j.cnsns.2011.03.039	NOUN
american_scientific_journal-3828	281	4	[	[	X
american_scientific_journal-3828	281	5	18	18	NUM
american_scientific_journal-3828	281	6	]	]	SYM
american_scientific_journal-3828	281	7	shaher	shaher	ADJ
american_scientific_journal-3828	281	8	momani	momani	NOUN
american_scientific_journal-3828	281	9	and	and	CCONJ
american_scientific_journal-3828	281	10	vedat	vedat	NOUN
american_scientific_journal-3828	281	11	suat	suat	NOUN
american_scientific_journal-3828	281	12	ertürkb	ertürkb	NOUN
american_scientific_journal-3828	281	13	.	.	PUNCT
american_scientific_journal-3828	282	1	solutions	solution	NOUN
american_scientific_journal-3828	282	2	of	of	ADP
american_scientific_journal-3828	282	3	non	non	ADJ
american_scientific_journal-3828	282	4	-	-	ADJ
american_scientific_journal-3828	282	5	linear	linear	ADJ
american_scientific_journal-3828	282	6	oscillators	oscillator	NOUN
american_scientific_journal-3828	282	7	by	by	ADP
american_scientific_journal-3828	282	8	the	the	DET
american_scientific_journal-3828	282	9	modified	modify	VERB
american_scientific_journal-3828	282	10	differential	differential	NOUN
american_scientific_journal-3828	282	11	transform	transform	NOUN
american_scientific_journal-3828	282	12	method	method	NOUN
american_scientific_journal-3828	282	13	.	.	PUNCT
american_scientific_journal-3828	283	1	computers	computer	NOUN
american_scientific_journal-3828	283	2	and	and	CCONJ
american_scientific_journal-3828	283	3	mathematics	mathematic	NOUN
american_scientific_journal-3828	283	4	with	with	ADP
american_scientific_journal-3828	283	5	applications	application	NOUN
american_scientific_journal-3828	283	6	,	,	PUNCT
american_scientific_journal-3828	283	7	55(4):833	55(4):833	NUM
american_scientific_journal-3828	283	8	–	–	PUNCT
american_scientific_journal-3828	283	9	842	842	NUM
american_scientific_journal-3828	283	10	,	,	PUNCT
american_scientific_journal-3828	283	11	2008	2008	NUM
american_scientific_journal-3828	283	12	.	.	PUNCT
american_scientific_journal-3828	284	1	[	[	X
american_scientific_journal-3828	284	2	19	19	NUM
american_scientific_journal-3828	284	3	]	]	SYM
american_scientific_journal-3828	284	4	shaher	shaher	X
american_scientific_journal-3828	284	5	momani	momani	PROPN
american_scientific_journal-3828	284	6	,	,	PUNCT
american_scientific_journal-3828	284	7	g.h	g.h	PROPN
american_scientific_journal-3828	284	8	.	.	PROPN
american_scientific_journal-3828	284	9	erjaee	erjaee	PROPN
american_scientific_journal-3828	284	10	,	,	PUNCT
american_scientific_journal-3828	284	11	and	and	CCONJ
american_scientific_journal-3828	284	12	m.h	m.h	PROPN
american_scientific_journal-3828	284	13	.	.	PROPN
american_scientific_journal-3828	284	14	alnasr	alnasr	PROPN
american_scientific_journal-3828	284	15	.	.	PUNCT
american_scientific_journal-3828	285	1	the	the	DET
american_scientific_journal-3828	285	2	modified	modify	VERB
american_scientific_journal-3828	285	3	homotopy	homotopy	NOUN
american_scientific_journal-3828	285	4	perturbation	perturbation	NOUN
american_scientific_journal-3828	285	5	method	method	NOUN
american_scientific_journal-3828	285	6	for	for	ADP
american_scientific_journal-3828	285	7	solving	solve	VERB
american_scientific_journal-3828	285	8	strongly	strongly	ADV
american_scientific_journal-3828	285	9	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	285	10	oscillators	oscillator	NOUN
american_scientific_journal-3828	285	11	.	.	PUNCT
american_scientific_journal-3828	286	1	computers	computer	NOUN
american_scientific_journal-3828	286	2	and	and	CCONJ
american_scientific_journal-3828	286	3	mathematics	mathematic	NOUN
american_scientific_journal-3828	286	4	with	with	ADP
american_scientific_journal-3828	286	5	applications	application	NOUN
american_scientific_journal-3828	286	6	,	,	PUNCT
american_scientific_journal-3828	286	7	58(11	58(11	NUM
american_scientific_journal-3828	286	8	-	-	SYM
american_scientific_journal-3828	286	9	12):2209	12):2209	NUM
american_scientific_journal-3828	286	10	–	–	PUNCT
american_scientific_journal-3828	286	11	2220	2220	NUM
american_scientific_journal-3828	286	12	,	,	PUNCT
american_scientific_journal-3828	286	13	2009	2009	NUM
american_scientific_journal-3828	286	14	.	.	PUNCT
american_scientific_journal-3828	287	1	[	[	X
american_scientific_journal-3828	287	2	20	20	NUM
american_scientific_journal-3828	287	3	]	]	X
american_scientific_journal-3828	287	4	richard	richard	PROPN
american_scientific_journal-3828	287	5	h.	h.	PROPN
american_scientific_journal-3828	287	6	enns	enns	PROPN
american_scientific_journal-3828	287	7	.	.	PUNCT
american_scientific_journal-3828	288	1	it	it	PRON
american_scientific_journal-3828	288	2	’s	’	VERB
american_scientific_journal-3828	288	3	a	a	DET
american_scientific_journal-3828	288	4	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	288	5	world	world	NOUN
american_scientific_journal-3828	288	6	,	,	PUNCT
american_scientific_journal-3828	288	7	pages	page	NOUN
american_scientific_journal-3828	288	8	181–183	181–183	NUM
american_scientific_journal-3828	288	9	.	.	PUNCT
american_scientific_journal-3828	288	10	springer	springer	NOUN
american_scientific_journal-3828	288	11	,	,	PUNCT
american_scientific_journal-3828	288	12	2010	2010	NUM
american_scientific_journal-3828	288	13	.	.	PUNCT
american_scientific_journal-3828	289	1	[	[	X
american_scientific_journal-3828	289	2	21	21	NUM
american_scientific_journal-3828	289	3	]	]	X
american_scientific_journal-3828	289	4	n.h	n.h	PROPN
american_scientific_journal-3828	289	5	.	.	PUNCT
american_scientific_journal-3828	290	1	sweilam	sweilam	PROPN
american_scientific_journal-3828	290	2	and	and	CCONJ
american_scientific_journal-3828	290	3	m.m	m.m	PROPN
american_scientific_journal-3828	290	4	.	.	PROPN
american_scientific_journal-3828	290	5	khader	khader	PROPN
american_scientific_journal-3828	290	6	.	.	PUNCT
american_scientific_journal-3828	291	1	exact	exact	ADJ
american_scientific_journal-3828	291	2	solutions	solution	NOUN
american_scientific_journal-3828	291	3	of	of	ADP
american_scientific_journal-3828	291	4	some	some	DET
american_scientific_journal-3828	291	5	coupled	couple	VERB
american_scientific_journal-3828	291	6	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	291	7	partial	partial	ADJ
american_scientific_journal-3828	291	8	differential	differential	NOUN
american_scientific_journal-3828	291	9	equations	equation	NOUN
american_scientific_journal-3828	291	10	using	use	VERB
american_scientific_journal-3828	291	11	the	the	DET
american_scientific_journal-3828	291	12	homotopy	homotopy	NOUN
american_scientific_journal-3828	291	13	perturbation	perturbation	NOUN
american_scientific_journal-3828	291	14	method	method	NOUN
american_scientific_journal-3828	291	15	.	.	PUNCT
american_scientific_journal-3828	292	1	computers	computer	NOUN
american_scientific_journal-3828	292	2	and	and	CCONJ
american_scientific_journal-3828	292	3	mathematics	mathematic	NOUN
american_scientific_journal-3828	292	4	with	with	ADP
american_scientific_journal-3828	292	5	applications	application	NOUN
american_scientific_journal-3828	292	6	,	,	PUNCT
american_scientific_journal-3828	292	7	58(11	58(11	NUM
american_scientific_journal-3828	292	8	-	-	SYM
american_scientific_journal-3828	292	9	12):2134	12):2134	NUM
american_scientific_journal-3828	292	10	–	–	PUNCT
american_scientific_journal-3828	292	11	2141	2141	NUM
american_scientific_journal-3828	292	12	,	,	PUNCT
american_scientific_journal-3828	292	13	2009	2009	NUM
american_scientific_journal-3828	292	14	.	.	PUNCT
american_scientific_journal-3828	293	1	[	[	X
american_scientific_journal-3828	293	2	22	22	NUM
american_scientific_journal-3828	293	3	]	]	X
american_scientific_journal-3828	293	4	pa	pa	PROPN
american_scientific_journal-3828	293	5	-	-	PROPN
american_scientific_journal-3828	293	6	yee	yee	PROPN
american_scientific_journal-3828	293	7	tsai	tsai	PROPN
american_scientific_journal-3828	293	8	and	and	CCONJ
american_scientific_journal-3828	293	9	chaâ€	chaâ€	PROPN
american_scientific_journal-3828	293	10	™	™	X
american_scientific_journal-3828	293	11	o	o	NOUN
american_scientific_journal-3828	293	12	-	-	ADJ
american_scientific_journal-3828	293	13	kuang	kuang	PROPN
american_scientific_journal-3828	293	14	chen	chen	PROPN
american_scientific_journal-3828	293	15	.	.	PUNCT
american_scientific_journal-3828	294	1	an	an	DET
american_scientific_journal-3828	294	2	approximate	approximate	ADJ
american_scientific_journal-3828	294	3	analytic	analytic	ADJ
american_scientific_journal-3828	294	4	solution	solution	NOUN
american_scientific_journal-3828	294	5	of	of	ADP
american_scientific_journal-3828	294	6	the	the	DET
american_scientific_journal-3828	294	7	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	294	8	riccati	riccati	PROPN
american_scientific_journal-3828	294	9	differential	differential	PROPN
american_scientific_journal-3828	294	10	equation	equation	NOUN
american_scientific_journal-3828	294	11	.	.	PUNCT
american_scientific_journal-3828	295	1	journal	journal	NOUN
american_scientific_journal-3828	295	2	of	of	ADP
american_scientific_journal-3828	295	3	the	the	DET
american_scientific_journal-3828	295	4	franklin	franklin	PROPN
american_scientific_journal-3828	295	5	institute	institute	PROPN
american_scientific_journal-3828	295	6	,	,	PUNCT
american_scientific_journal-3828	295	7	347(10):1850	347(10):1850	PROPN
american_scientific_journal-3828	295	8	–	–	PUNCT
american_scientific_journal-3828	295	9	1862	1862	NUM
american_scientific_journal-3828	295	10	,	,	PUNCT
american_scientific_journal-3828	295	11	2010	2010	NUM
american_scientific_journal-3828	295	12	.	.	PUNCT
american_scientific_journal-3828	296	1	[	[	X
american_scientific_journal-3828	296	2	23	23	NUM
american_scientific_journal-3828	296	3	]	]	X
american_scientific_journal-3828	296	4	yong	yong	PROPN
american_scientific_journal-3828	296	5	-	-	PUNCT
american_scientific_journal-3828	296	6	gang	gang	PROPN
american_scientific_journal-3828	296	7	wang	wang	PROPN
american_scientific_journal-3828	296	8	,	,	PUNCT
american_scientific_journal-3828	296	9	wen	wen	PROPN
american_scientific_journal-3828	296	10	-	-	PROPN
american_scientific_journal-3828	296	11	hui	hui	PROPN
american_scientific_journal-3828	296	12	lin	lin	PROPN
american_scientific_journal-3828	296	13	,	,	PUNCT
american_scientific_journal-3828	296	14	and	and	CCONJ
american_scientific_journal-3828	296	15	ning	ning	PROPN
american_scientific_journal-3828	296	16	liu	liu	PROPN
american_scientific_journal-3828	296	17	.	.	PUNCT
american_scientific_journal-3828	297	1	a	a	DET
american_scientific_journal-3828	297	2	homotopy	homotopy	NOUN
american_scientific_journal-3828	297	3	perturbation	perturbation	NOUN
american_scientific_journal-3828	297	4	-	-	PUNCT
american_scientific_journal-3828	297	5	based	base	VERB
american_scientific_journal-3828	297	6	method	method	NOUN
american_scientific_journal-3828	297	7	for	for	ADP
american_scientific_journal-3828	297	8	large	large	ADJ
american_scientific_journal-3828	297	9	american	american	ADJ
american_scientific_journal-3828	297	10	scientific	scientific	ADJ
american_scientific_journal-3828	297	11	research	research	NOUN
american_scientific_journal-3828	297	12	journal	journal	NOUN
american_scientific_journal-3828	297	13	for	for	ADP
american_scientific_journal-3828	297	14	engineering	engineering	NOUN
american_scientific_journal-3828	297	15	,	,	PUNCT
american_scientific_journal-3828	297	16	technology	technology	NOUN
american_scientific_journal-3828	297	17	,	,	PUNCT
american_scientific_journal-3828	297	18	and	and	CCONJ
american_scientific_journal-3828	297	19	sciences	science	NOUN
american_scientific_journal-3828	297	20	(	(	PUNCT
american_scientific_journal-3828	297	21	asrjets	asrjet	NOUN
american_scientific_journal-3828	297	22	)	)	PUNCT
american_scientific_journal-3828	297	23	(	(	PUNCT
american_scientific_journal-3828	297	24	2018	2018	NUM
american_scientific_journal-3828	297	25	)	)	PUNCT
american_scientific_journal-3828	297	26	volume	volume	NOUN
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american_scientific_journal-3828	297	28	,	,	PUNCT
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american_scientific_journal-3828	297	30	1	1	NUM
american_scientific_journal-3828	297	31	,	,	PUNCT
american_scientific_journal-3828	297	32	pp	pp	ADV
american_scientific_journal-3828	297	33	103	103	NUM
american_scientific_journal-3828	297	34	-	-	SYM
american_scientific_journal-3828	297	35	115	115	NUM
american_scientific_journal-3828	297	36	115	115	NUM
american_scientific_journal-3828	297	37	deflection	deflection	NOUN
american_scientific_journal-3828	297	38	of	of	ADP
american_scientific_journal-3828	297	39	a	a	DET
american_scientific_journal-3828	297	40	cantilever	cantilever	NOUN
american_scientific_journal-3828	297	41	beam	beam	NOUN
american_scientific_journal-3828	297	42	under	under	ADP
american_scientific_journal-3828	297	43	a	a	DET
american_scientific_journal-3828	297	44	terminal	terminal	ADJ
american_scientific_journal-3828	297	45	follower	follower	NOUN
american_scientific_journal-3828	297	46	force	force	NOUN
american_scientific_journal-3828	297	47	.	.	PUNCT
american_scientific_journal-3828	298	1	international	international	ADJ
american_scientific_journal-3828	298	2	journal	journal	NOUN
american_scientific_journal-3828	298	3	for	for	ADP
american_scientific_journal-3828	298	4	computational	computational	ADJ
american_scientific_journal-3828	298	5	methods	method	NOUN
american_scientific_journal-3828	298	6	in	in	ADP
american_scientific_journal-3828	298	7	engineering	engineering	NOUN
american_scientific_journal-3828	298	8	science	science	NOUN
american_scientific_journal-3828	298	9	and	and	CCONJ
american_scientific_journal-3828	298	10	mechanic	mechanic	ADJ
american_scientific_journal-3828	298	11	,	,	PUNCT
american_scientific_journal-3828	298	12	13:197–201	13:197–201	NUM
american_scientific_journal-3828	298	13	,	,	PUNCT
american_scientific_journal-3828	298	14	2012	2012	NUM
american_scientific_journal-3828	298	15	.	.	PUNCT
american_scientific_journal-3828	299	1	[	[	X
american_scientific_journal-3828	299	2	24	24	NUM
american_scientific_journal-3828	299	3	]	]	X
american_scientific_journal-3828	299	4	u.	u.	NOUN
american_scientific_journal-3828	299	5	filobello	filobello	PROPN
american_scientific_journal-3828	299	6	-	-	PUNCT
american_scientific_journal-3828	299	7	nino	nino	PROPN
american_scientific_journal-3828	299	8	,	,	PUNCT
american_scientific_journal-3828	299	9	h.	h.	PROPN
american_scientific_journal-3828	299	10	vazquez	vazquez	PROPN
american_scientific_journal-3828	299	11	-	-	PUNCT
american_scientific_journal-3828	299	12	leal	leal	PROPN
american_scientific_journal-3828	299	13	,	,	PUNCT
american_scientific_journal-3828	299	14	r.	r.	PROPN
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american_scientific_journal-3828	299	16	-	-	PUNCT
american_scientific_journal-3828	299	17	sheissa	sheissa	PROPN
american_scientific_journal-3828	299	18	,	,	PUNCT
american_scientific_journal-3828	299	19	a.	a.	PROPN
american_scientific_journal-3828	299	20	yildirim	yildirim	PROPN
american_scientific_journal-3828	299	21	,	,	PUNCT
american_scientific_journal-3828	299	22	l.	l.	PROPN
american_scientific_journal-3828	299	23	hernandez	hernandez	PROPN
american_scientific_journal-3828	299	24	-	-	PUNCT
american_scientific_journal-3828	299	25	martinez	martinez	PROPN
american_scientific_journal-3828	299	26	,	,	PUNCT
american_scientific_journal-3828	299	27	d.	d.	PROPN
american_scientific_journal-3828	299	28	pereyra	pereyra	PROPN
american_scientific_journal-3828	299	29	-	-	PUNCT
american_scientific_journal-3828	299	30	diaz	diaz	PROPN
american_scientific_journal-3828	299	31	,	,	PUNCT
american_scientific_journal-3828	299	32	a.	a.	PROPN
american_scientific_journal-3828	299	33	perez	perez	PROPN
american_scientific_journal-3828	299	34	-	-	PUNCT
american_scientific_journal-3828	299	35	sesma	sesma	NOUN
american_scientific_journal-3828	299	36	,	,	PUNCT
american_scientific_journal-3828	299	37	and	and	CCONJ
american_scientific_journal-3828	299	38	c.	c.	PROPN
american_scientific_journal-3828	299	39	hoyos	hoyos	PROPN
american_scientific_journal-3828	299	40	-	-	PUNCT
american_scientific_journal-3828	299	41	reyes	reyes	PROPN
american_scientific_journal-3828	299	42	.	.	PUNCT
american_scientific_journal-3828	300	1	an	an	DET
american_scientific_journal-3828	300	2	approximate	approximate	ADJ
american_scientific_journal-3828	300	3	solution	solution	NOUN
american_scientific_journal-3828	300	4	of	of	ADP
american_scientific_journal-3828	300	5	blasius	blasius	ADJ
american_scientific_journal-3828	300	6	equation	equation	NOUN
american_scientific_journal-3828	300	7	by	by	ADP
american_scientific_journal-3828	300	8	using	use	VERB
american_scientific_journal-3828	300	9	hpm	hpm	NOUN
american_scientific_journal-3828	300	10	method	method	NOUN
american_scientific_journal-3828	300	11	.	.	PUNCT
american_scientific_journal-3828	301	1	asian	asian	ADJ
american_scientific_journal-3828	301	2	journal	journal	PROPN
american_scientific_journal-3828	301	3	of	of	ADP
american_scientific_journal-3828	301	4	mathematics	mathematic	NOUN
american_scientific_journal-3828	301	5	and	and	CCONJ
american_scientific_journal-3828	301	6	statistics	statistic	NOUN
american_scientific_journal-3828	301	7	,	,	PUNCT
american_scientific_journal-3828	301	8	5:50–59	5:50–59	PROPN
american_scientific_journal-3828	301	9	,	,	PUNCT
american_scientific_journal-3828	301	10	2012	2012	NUM
american_scientific_journal-3828	301	11	.	.	PUNCT
american_scientific_journal-3828	302	1	[	[	X
american_scientific_journal-3828	302	2	25	25	NUM
american_scientific_journal-3828	302	3	]	]	X
american_scientific_journal-3828	302	4	u.	u.	NOUN
american_scientific_journal-3828	302	5	filobello	filobello	PROPN
american_scientific_journal-3828	302	6	-	-	PUNCT
american_scientific_journal-3828	302	7	nino	nino	PROPN
american_scientific_journal-3828	302	8	,	,	PUNCT
american_scientific_journal-3828	302	9	h.	h.	PROPN
american_scientific_journal-3828	302	10	vazquez	vazquez	PROPN
american_scientific_journal-3828	302	11	-	-	PUNCT
american_scientific_journal-3828	302	12	leal	leal	PROPN
american_scientific_journal-3828	302	13	,	,	PUNCT
american_scientific_journal-3828	302	14	y.	y.	PROPN
american_scientific_journal-3828	302	15	khan	khan	PROPN
american_scientific_journal-3828	302	16	,	,	PUNCT
american_scientific_journal-3828	302	17	r.	r.	PROPN
american_scientific_journal-3828	302	18	castaneda	castaneda	PROPN
american_scientific_journal-3828	302	19	-	-	PUNCT
american_scientific_journal-3828	302	20	sheissa	sheissa	PROPN
american_scientific_journal-3828	302	21	,	,	PUNCT
american_scientific_journal-3828	302	22	a.	a.	PROPN
american_scientific_journal-3828	302	23	yildirim	yildirim	PROPN
american_scientific_journal-3828	302	24	,	,	PUNCT
american_scientific_journal-3828	302	25	l.	l.	PROPN
american_scientific_journal-3828	302	26	hernandezmartinez	hernandezmartinez	PROPN
american_scientific_journal-3828	302	27	,	,	PUNCT
american_scientific_journal-3828	302	28	j.	j.	PROPN
american_scientific_journal-3828	302	29	sanchez	sanchez	PROPN
american_scientific_journal-3828	302	30	-	-	PUNCT
american_scientific_journal-3828	302	31	orea	orea	PROPN
american_scientific_journal-3828	302	32	,	,	PUNCT
american_scientific_journal-3828	302	33	r.	r.	PROPN
american_scientific_journal-3828	302	34	castaneda	castaneda	PROPN
american_scientific_journal-3828	302	35	-	-	PUNCT
american_scientific_journal-3828	302	36	sheissa	sheissa	PROPN
american_scientific_journal-3828	302	37	,	,	PUNCT
american_scientific_journal-3828	302	38	and	and	CCONJ
american_scientific_journal-3828	302	39	f.	f.	PROPN
american_scientific_journal-3828	302	40	rabago	rabago	PROPN
american_scientific_journal-3828	302	41	bernal	bernal	PROPN
american_scientific_journal-3828	302	42	.	.	PUNCT
american_scientific_journal-3828	302	43	hpm	hpm	PROPN
american_scientific_journal-3828	302	44	applied	apply	VERB
american_scientific_journal-3828	302	45	to	to	PART
american_scientific_journal-3828	302	46	solve	solve	VERB
american_scientific_journal-3828	302	47	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	302	48	circuits	circuit	NOUN
american_scientific_journal-3828	302	49	:	:	PUNCT
american_scientific_journal-3828	302	50	a	a	DET
american_scientific_journal-3828	302	51	study	study	NOUN
american_scientific_journal-3828	302	52	case	case	NOUN
american_scientific_journal-3828	302	53	.	.	PUNCT
american_scientific_journal-3828	303	1	appl	appl	PROPN
american_scientific_journal-3828	303	2	.	.	PROPN
american_scientific_journal-3828	303	3	math	math	PROPN
american_scientific_journal-3828	303	4	.	.	PUNCT
american_scientific_journal-3828	304	1	sci	sci	PROPN
american_scientific_journal-3828	304	2	.	.	PROPN
american_scientific_journal-3828	304	3	,	,	PUNCT
american_scientific_journal-3828	304	4	6(85	6(85	PROPN
american_scientific_journal-3828	304	5	-	-	NOUN
american_scientific_journal-3828	304	6	88):4331–4344	88):4331–4344	NOUN
american_scientific_journal-3828	304	7	,	,	PUNCT
american_scientific_journal-3828	304	8	2012	2012	NUM
american_scientific_journal-3828	304	9	.	.	PUNCT
american_scientific_journal-3828	305	1	[	[	X
american_scientific_journal-3828	305	2	26	26	NUM
american_scientific_journal-3828	305	3	]	]	X
american_scientific_journal-3828	305	4	h.	h.	PROPN
american_scientific_journal-3828	305	5	vazquez	vazquez	PROPN
american_scientific_journal-3828	305	6	-	-	PUNCT
american_scientific_journal-3828	305	7	leal	leal	PROPN
american_scientific_journal-3828	305	8	,	,	PUNCT
american_scientific_journal-3828	305	9	r.	r.	PROPN
american_scientific_journal-3828	305	10	castaneda	castaneda	PROPN
american_scientific_journal-3828	305	11	-	-	PUNCT
american_scientific_journal-3828	305	12	sheissa	sheissa	PROPN
american_scientific_journal-3828	305	13	,	,	PUNCT
american_scientific_journal-3828	305	14	u.	u.	PROPN
american_scientific_journal-3828	305	15	filobello	filobello	PROPN
american_scientific_journal-3828	305	16	-	-	PUNCT
american_scientific_journal-3828	305	17	nino	nino	PROPN
american_scientific_journal-3828	305	18	,	,	PUNCT
american_scientific_journal-3828	305	19	a.	a.	PROPN
american_scientific_journal-3828	305	20	sarmiento	sarmiento	PROPN
american_scientific_journal-3828	305	21	-	-	PUNCT
american_scientific_journal-3828	305	22	reyes	reyes	PROPN
american_scientific_journal-3828	305	23	,	,	PUNCT
american_scientific_journal-3828	305	24	and	and	CCONJ
american_scientific_journal-3828	305	25	j.	j.	PROPN
american_scientific_journal-3828	305	26	sanchez	sanchez	PROPN
american_scientific_journal-3828	305	27	-	-	PUNCT
american_scientific_journal-3828	305	28	orea	orea	PROPN
american_scientific_journal-3828	305	29	.	.	PUNCT
american_scientific_journal-3828	306	1	high	high	ADJ
american_scientific_journal-3828	306	2	accurate	accurate	ADJ
american_scientific_journal-3828	306	3	simple	simple	ADJ
american_scientific_journal-3828	306	4	approximation	approximation	NOUN
american_scientific_journal-3828	306	5	of	of	ADP
american_scientific_journal-3828	306	6	normal	normal	ADJ
american_scientific_journal-3828	306	7	distribution	distribution	NOUN
american_scientific_journal-3828	306	8	related	relate	VERB
american_scientific_journal-3828	306	9	integrals	integral	NOUN
american_scientific_journal-3828	306	10	.	.	PUNCT
american_scientific_journal-3828	307	1	mathematical	mathematical	ADJ
american_scientific_journal-3828	307	2	problems	problem	NOUN
american_scientific_journal-3828	307	3	in	in	ADP
american_scientific_journal-3828	307	4	engineering	engineering	NOUN
american_scientific_journal-3828	307	5	,	,	PUNCT
american_scientific_journal-3828	307	6	2012:22	2012:22	NUM
american_scientific_journal-3828	307	7	pages	page	NOUN
american_scientific_journal-3828	307	8	,	,	PUNCT
american_scientific_journal-3828	307	9	2012	2012	NUM
american_scientific_journal-3828	307	10	.	.	PUNCT
american_scientific_journal-3828	308	1	[	[	X
american_scientific_journal-3828	308	2	27	27	NUM
american_scientific_journal-3828	308	3	]	]	X
american_scientific_journal-3828	308	4	hector	hector	PROPN
american_scientific_journal-3828	308	5	vazquez	vazquez	PROPN
american_scientific_journal-3828	308	6	-	-	PUNCT
american_scientific_journal-3828	308	7	leal	leal	PROPN
american_scientific_journal-3828	308	8	,	,	PUNCT
american_scientific_journal-3828	308	9	uriel	uriel	PROPN
american_scientific_journal-3828	308	10	filobello	filobello	PROPN
american_scientific_journal-3828	308	11	-	-	PUNCT
american_scientific_journal-3828	308	12	nino	nino	PROPN
american_scientific_journal-3828	308	13	,	,	PUNCT
american_scientific_journal-3828	308	14	roberto	roberto	PROPN
american_scientific_journal-3828	308	15	castaneda	castaneda	PROPN
american_scientific_journal-3828	308	16	-	-	PUNCT
american_scientific_journal-3828	308	17	sheissa	sheissa	PROPN
american_scientific_journal-3828	308	18	,	,	PUNCT
american_scientific_journal-3828	308	19	luis	luis	PROPN
american_scientific_journal-3828	308	20	hernandez	hernandez	PROPN
american_scientific_journal-3828	308	21	-	-	PUNCT
american_scientific_journal-3828	308	22	martinez	martinez	PROPN
american_scientific_journal-3828	308	23	,	,	PUNCT
american_scientific_journal-3828	308	24	and	and	CCONJ
american_scientific_journal-3828	308	25	arturo	arturo	PROPN
american_scientific_journal-3828	308	26	sarmiento	sarmiento	PROPN
american_scientific_journal-3828	308	27	-	-	PUNCT
american_scientific_journal-3828	308	28	reyes	reyes	PROPN
american_scientific_journal-3828	308	29	.	.	PUNCT
american_scientific_journal-3828	309	1	modified	modify	VERB
american_scientific_journal-3828	309	2	hpms	hpm	NOUN
american_scientific_journal-3828	309	3	inspired	inspire	VERB
american_scientific_journal-3828	309	4	by	by	ADP
american_scientific_journal-3828	309	5	homotopy	homotopy	NOUN
american_scientific_journal-3828	309	6	continuation	continuation	NOUN
american_scientific_journal-3828	309	7	methods	method	NOUN
american_scientific_journal-3828	309	8	.	.	PUNCT
american_scientific_journal-3828	310	1	mathematical	mathematical	ADJ
american_scientific_journal-3828	310	2	problems	problem	NOUN
american_scientific_journal-3828	310	3	in	in	ADP
american_scientific_journal-3828	310	4	engineering	engineering	NOUN
american_scientific_journal-3828	310	5	,	,	PUNCT
american_scientific_journal-3828	310	6	2012:19	2012:19	NUM
american_scientific_journal-3828	310	7	pages	page	NOUN
american_scientific_journal-3828	310	8	,	,	PUNCT
american_scientific_journal-3828	310	9	2012	2012	NUM
american_scientific_journal-3828	310	10	.	.	PUNCT
american_scientific_journal-3828	311	1	[	[	X
american_scientific_journal-3828	311	2	28	28	NUM
american_scientific_journal-3828	311	3	]	]	X
american_scientific_journal-3828	311	4	m.	m.	NOUN
american_scientific_journal-3828	311	5	merdan	merdan	PROPN
american_scientific_journal-3828	311	6	,	,	PUNCT
american_scientific_journal-3828	311	7	a.	a.	NOUN
american_scientific_journal-3828	311	8	gökdo	gökdo	PROPN
american_scientific_journal-3828	311	9	g	g	PROPN
american_scientific_journal-3828	311	10	an	an	NOUN
american_scientific_journal-3828	311	11	,	,	PUNCT
american_scientific_journal-3828	311	12	and	and	CCONJ
american_scientific_journal-3828	311	13	a.	a.	PROPN
american_scientific_journal-3828	311	14	yildirim	yildirim	PROPN
american_scientific_journal-3828	311	15	.	.	PUNCT
american_scientific_journal-3828	312	1	on	on	ADP
american_scientific_journal-3828	312	2	the	the	DET
american_scientific_journal-3828	312	3	numerical	numerical	ADJ
american_scientific_journal-3828	312	4	solution	solution	NOUN
american_scientific_journal-3828	312	5	of	of	ADP
american_scientific_journal-3828	312	6	the	the	DET
american_scientific_journal-3828	312	7	model	model	NOUN
american_scientific_journal-3828	312	8	for	for	ADP
american_scientific_journal-3828	312	9	hiv	hiv	PROPN
american_scientific_journal-3828	312	10	infection	infection	NOUN
american_scientific_journal-3828	312	11	of	of	ADP
american_scientific_journal-3828	312	12	cd4	cd4	PROPN
american_scientific_journal-3828	312	13	+	+	PROPN
american_scientific_journal-3828	312	14	t	t	NOUN
american_scientific_journal-3828	312	15	cells	cell	NOUN
american_scientific_journal-3828	312	16	.	.	PUNCT
american_scientific_journal-3828	313	1	computers	computer	NOUN
american_scientific_journal-3828	313	2	and	and	CCONJ
american_scientific_journal-3828	313	3	mathematics	mathematic	NOUN
american_scientific_journal-3828	313	4	with	with	ADP
american_scientific_journal-3828	313	5	applications	application	NOUN
american_scientific_journal-3828	313	6	,	,	PUNCT
american_scientific_journal-3828	313	7	62:118	62:118	NUM
american_scientific_journal-3828	313	8	–	–	PUNCT
american_scientific_journal-3828	313	9	123	123	NUM
american_scientific_journal-3828	313	10	,	,	PUNCT
american_scientific_journal-3828	313	11	2011	2011	NUM
american_scientific_journal-3828	313	12	.	.	PUNCT
american_scientific_journal-3828	314	1	[	[	X
american_scientific_journal-3828	314	2	29	29	NUM
american_scientific_journal-3828	314	3	]	]	X
american_scientific_journal-3828	314	4	h.	h.	PROPN
american_scientific_journal-3828	314	5	vazquez	vazquez	PROPN
american_scientific_journal-3828	314	6	-	-	PUNCT
american_scientific_journal-3828	314	7	leal	leal	PROPN
american_scientific_journal-3828	314	8	,	,	PUNCT
american_scientific_journal-3828	314	9	a.	a.	PROPN
american_scientific_journal-3828	314	10	sarmiento	sarmiento	PROPN
american_scientific_journal-3828	314	11	-	-	PUNCT
american_scientific_journal-3828	314	12	reyes	reyes	PROPN
american_scientific_journal-3828	314	13	,	,	PUNCT
american_scientific_journal-3828	314	14	y.	y.	PROPN
american_scientific_journal-3828	314	15	khan	khan	PROPN
american_scientific_journal-3828	314	16	,	,	PUNCT
american_scientific_journal-3828	314	17	u.	u.	PROPN
american_scientific_journal-3828	314	18	filobello	filobello	PROPN
american_scientific_journal-3828	314	19	-	-	PUNCT
american_scientific_journal-3828	314	20	nino	nino	PROPN
american_scientific_journal-3828	314	21	,	,	PUNCT
american_scientific_journal-3828	314	22	and	and	CCONJ
american_scientific_journal-3828	314	23	a.	a.	PROPN
american_scientific_journal-3828	314	24	diaz	diaz	PROPN
american_scientific_journal-3828	314	25	-	-	PUNCT
american_scientific_journal-3828	314	26	sanchez	sanchez	PROPN
american_scientific_journal-3828	314	27	.	.	PUNCT
american_scientific_journal-3828	315	1	rational	rational	ADJ
american_scientific_journal-3828	315	2	biparameter	biparameter	NOUN
american_scientific_journal-3828	315	3	homotopy	homotopy	NOUN
american_scientific_journal-3828	315	4	perturbation	perturbation	NOUN
american_scientific_journal-3828	315	5	method	method	NOUN
american_scientific_journal-3828	315	6	and	and	CCONJ
american_scientific_journal-3828	315	7	laplace	laplace	NOUN
american_scientific_journal-3828	315	8	-	-	PUNCT
american_scientific_journal-3828	315	9	padé	padé	NOUN
american_scientific_journal-3828	315	10	coupled	couple	VERB
american_scientific_journal-3828	315	11	version	version	NOUN
american_scientific_journal-3828	315	12	.	.	PUNCT
american_scientific_journal-3828	316	1	journal	journal	PROPN
american_scientific_journal-3828	316	2	of	of	ADP
american_scientific_journal-3828	316	3	applied	apply	VERB
american_scientific_journal-3828	316	4	mathematics	mathematic	NOUN
american_scientific_journal-3828	316	5	,	,	PUNCT
american_scientific_journal-3828	316	6	pages	page	NOUN
american_scientific_journal-3828	316	7	1–21	1–21	PROPN
american_scientific_journal-3828	316	8	,	,	PUNCT
american_scientific_journal-3828	316	9	2012	2012	NUM
american_scientific_journal-3828	316	10	.	.	PUNCT
american_scientific_journal-3828	317	1	doi:10.1155/2012/923975	doi:10.1155/2012/923975	NOUN
american_scientific_journal-3828	317	2	.	.	PUNCT
american_scientific_journal-3828	318	1	[	[	X
american_scientific_journal-3828	318	2	30	30	NUM
american_scientific_journal-3828	318	3	]	]	X
american_scientific_journal-3828	318	4	hector	hector	NOUN
american_scientific_journal-3828	318	5	vazquez	vazquez	NOUN
american_scientific_journal-3828	318	6	-	-	PUNCT
american_scientific_journal-3828	318	7	leal	leal	ADJ
american_scientific_journal-3828	318	8	.	.	PUNCT
american_scientific_journal-3828	319	1	rational	rational	ADJ
american_scientific_journal-3828	319	2	homotopy	homotopy	NOUN
american_scientific_journal-3828	319	3	perturbation	perturbation	NOUN
american_scientific_journal-3828	319	4	method	method	NOUN
american_scientific_journal-3828	319	5	.	.	PUNCT
american_scientific_journal-3828	320	1	journal	journal	NOUN
american_scientific_journal-3828	320	2	of	of	ADP
american_scientific_journal-3828	320	3	applied	apply	VERB
american_scientific_journal-3828	320	4	mathematics	mathematic	NOUN
american_scientific_journal-3828	320	5	,	,	PUNCT
american_scientific_journal-3828	320	6	pages	page	NOUN
american_scientific_journal-3828	320	7	1–14	1–14	PROPN
american_scientific_journal-3828	320	8	,	,	PUNCT
american_scientific_journal-3828	320	9	2012	2012	NUM
american_scientific_journal-3828	320	10	.	.	PUNCT
american_scientific_journal-3828	321	1	doi:10.1155/2012/490342	doi:10.1155/2012/490342	NOUN
american_scientific_journal-3828	321	2	.	.	PUNCT
american_scientific_journal-3828	322	1	[	[	X
american_scientific_journal-3828	322	2	31	31	NUM
american_scientific_journal-3828	322	3	]	]	PUNCT
american_scientific_journal-3828	322	4	h.	h.	PROPN
american_scientific_journal-3828	322	5	vazquez	vazquez	PROPN
american_scientific_journal-3828	322	6	-	-	PUNCT
american_scientific_journal-3828	322	7	leal	leal	PROPN
american_scientific_journal-3828	322	8	,	,	PUNCT
american_scientific_journal-3828	322	9	guillermo	guillermo	PROPN
american_scientific_journal-3828	322	10	fernandez	fernandez	PROPN
american_scientific_journal-3828	322	11	-	-	PUNCT
american_scientific_journal-3828	322	12	anaya	anaya	PROPN
american_scientific_journal-3828	322	13	y.	y.	PROPN
american_scientific_journal-3828	322	14	khan	khan	PROPN
american_scientific_journal-3828	322	15	,	,	PUNCT
american_scientific_journal-3828	322	16	a.	a.	PROPN
american_scientific_journal-3828	322	17	herrera	herrera	PROPN
american_scientific_journal-3828	322	18	-	-	PUNCT
american_scientific_journal-3828	322	19	may	may	PROPN
american_scientific_journal-3828	322	20	,	,	PUNCT
american_scientific_journal-3828	322	21	a.	a.	PROPN
american_scientific_journal-3828	322	22	sarmiento	sarmiento	PROPN
american_scientific_journal-3828	322	23	-	-	PUNCT
american_scientific_journal-3828	322	24	reyes	reyes	PROPN
american_scientific_journal-3828	322	25	,	,	PUNCT
american_scientific_journal-3828	322	26	u.	u.	PROPN
american_scientific_journal-3828	322	27	filobello	filobello	PROPN
american_scientific_journal-3828	322	28	-	-	PUNCT
american_scientific_journal-3828	322	29	nino	nino	PROPN
american_scientific_journal-3828	322	30	,	,	PUNCT
american_scientific_journal-3828	322	31	v.m	v.m	PROPN
american_scientific_journal-3828	322	32	.	.	PROPN
american_scientific_journal-3828	322	33	jimenez	jimenez	PROPN
american_scientific_journal-3828	322	34	-	-	PUNCT
american_scientific_journal-3828	322	35	fernandez	fernandez	PROPN
american_scientific_journal-3828	322	36	,	,	PUNCT
american_scientific_journal-3828	322	37	and	and	CCONJ
american_scientific_journal-3828	322	38	d.	d.	PROPN
american_scientific_journal-3828	322	39	pereyra	pereyra	PROPN
american_scientific_journal-3828	322	40	-	-	PUNCT
american_scientific_journal-3828	322	41	diaz	diaz	PROPN
american_scientific_journal-3828	322	42	.	.	PUNCT
american_scientific_journal-3828	323	1	a	a	DET
american_scientific_journal-3828	323	2	general	general	ADJ
american_scientific_journal-3828	323	3	solution	solution	NOUN
american_scientific_journal-3828	323	4	for	for	ADP
american_scientific_journal-3828	323	5	troesch	troesch	PROPN
american_scientific_journal-3828	323	6	’s	’s	PART
american_scientific_journal-3828	323	7	problem	problem	NOUN
american_scientific_journal-3828	323	8	.	.	PUNCT
american_scientific_journal-3828	324	1	mathematical	mathematical	ADJ
american_scientific_journal-3828	324	2	problems	problem	NOUN
american_scientific_journal-3828	324	3	in	in	ADP
american_scientific_journal-3828	324	4	engineering	engineering	NOUN
american_scientific_journal-3828	324	5	,	,	PUNCT
american_scientific_journal-3828	324	6	pages	page	NOUN
american_scientific_journal-3828	324	7	1–14	1–14	PROPN
american_scientific_journal-3828	324	8	,	,	PUNCT
american_scientific_journal-3828	324	9	2012	2012	NUM
american_scientific_journal-3828	324	10	.	.	PUNCT
american_scientific_journal-3828	325	1	doi:10.1155/2012/208375	doi:10.1155/2012/208375	PROPN
american_scientific_journal-3828	325	2	.	.	PUNCT
american_scientific_journal-3828	326	1	[	[	X
american_scientific_journal-3828	326	2	32	32	NUM
american_scientific_journal-3828	326	3	]	]	X
american_scientific_journal-3828	326	4	yasir	yasir	PROPN
american_scientific_journal-3828	326	5	khan	khan	PROPN
american_scientific_journal-3828	326	6	,	,	PUNCT
american_scientific_journal-3828	326	7	hector	hector	PROPN
american_scientific_journal-3828	326	8	vazquez	vazquez	NOUN
american_scientific_journal-3828	326	9	-	-	PUNCT
american_scientific_journal-3828	326	10	leal	leal	NOUN
american_scientific_journal-3828	326	11	,	,	PUNCT
american_scientific_journal-3828	326	12	and	and	CCONJ
american_scientific_journal-3828	326	13	q.	q.	PROPN
american_scientific_journal-3828	326	14	wu	wu	PROPN
american_scientific_journal-3828	326	15	.	.	PUNCT
american_scientific_journal-3828	327	1	an	an	DET
american_scientific_journal-3828	327	2	efficient	efficient	ADJ
american_scientific_journal-3828	327	3	iterated	iterated	ADJ
american_scientific_journal-3828	327	4	method	method	NOUN
american_scientific_journal-3828	327	5	for	for	ADP
american_scientific_journal-3828	327	6	mathematical	mathematical	ADJ
american_scientific_journal-3828	327	7	biology	biology	NOUN
american_scientific_journal-3828	327	8	model	model	NOUN
american_scientific_journal-3828	327	9	.	.	PUNCT
american_scientific_journal-3828	328	1	neural	neural	ADJ
american_scientific_journal-3828	328	2	computing	computing	NOUN
american_scientific_journal-3828	328	3	and	and	CCONJ
american_scientific_journal-3828	328	4	applications	application	NOUN
american_scientific_journal-3828	328	5	,	,	PUNCT
american_scientific_journal-3828	328	6	pages	page	NOUN
american_scientific_journal-3828	328	7	1–6	1–6	NUM
american_scientific_journal-3828	328	8	,	,	PUNCT
american_scientific_journal-3828	328	9	2012	2012	NUM
american_scientific_journal-3828	328	10	.	.	PUNCT
american_scientific_journal-3828	329	1	[	[	X
american_scientific_journal-3828	329	2	33	33	NUM
american_scientific_journal-3828	329	3	]	]	X
american_scientific_journal-3828	329	4	yasir	yasir	PROPN
american_scientific_journal-3828	329	5	khan	khan	PROPN
american_scientific_journal-3828	329	6	,	,	PUNCT
american_scientific_journal-3828	329	7	hector	hector	PROPN
american_scientific_journal-3828	329	8	vazquez	vazquez	NOUN
american_scientific_journal-3828	329	9	-	-	PUNCT
american_scientific_journal-3828	329	10	leal	leal	NOUN
american_scientific_journal-3828	329	11	,	,	PUNCT
american_scientific_journal-3828	329	12	and	and	CCONJ
american_scientific_journal-3828	329	13	luis	luis	PROPN
american_scientific_journal-3828	329	14	hernandez	hernandez	PROPN
american_scientific_journal-3828	329	15	-	-	PUNCT
american_scientific_journal-3828	329	16	martinez	martinez	PROPN
american_scientific_journal-3828	329	17	.	.	PUNCT
american_scientific_journal-3828	330	1	removal	removal	NOUN
american_scientific_journal-3828	330	2	of	of	ADP
american_scientific_journal-3828	330	3	noise	noise	NOUN
american_scientific_journal-3828	330	4	oscillation	oscillation	NOUN
american_scientific_journal-3828	330	5	term	term	NOUN
american_scientific_journal-3828	330	6	appearing	appear	VERB
american_scientific_journal-3828	330	7	in	in	ADP
american_scientific_journal-3828	330	8	the	the	DET
american_scientific_journal-3828	330	9	nonlinear	nonlinear	ADJ
american_scientific_journal-3828	330	10	equation	equation	NOUN
american_scientific_journal-3828	330	11	solution	solution	NOUN
american_scientific_journal-3828	330	12	.	.	PUNCT
american_scientific_journal-3828	331	1	journal	journal	NOUN
american_scientific_journal-3828	331	2	of	of	ADP
american_scientific_journal-3828	331	3	applied	apply	VERB
american_scientific_journal-3828	331	4	mathematics	mathematic	NOUN
american_scientific_journal-3828	331	5	,	,	PUNCT
american_scientific_journal-3828	331	6	pages	page	NOUN
american_scientific_journal-3828	331	7	1–9	1–9	NUM
american_scientific_journal-3828	331	8	,	,	PUNCT
american_scientific_journal-3828	331	9	2012	2012	NUM
american_scientific_journal-3828	331	10	.	.	PUNCT
american_scientific_journal-3828	332	1	doi:10.1155/2012/387365	doi:10.1155/2012/387365	NOUN
american_scientific_journal-3828	332	2	.	.	PUNCT
american_scientific_journal-3828	333	1	4	4	X
american_scientific_journal-3828	333	2	.	.	NUM
american_scientific_journal-3828	333	3	cases	case	NOUN
american_scientific_journal-3828	333	4	study	study	VERB
american_scientific_journal-3828	333	5	4.1	4.1	NUM
american_scientific_journal-3828	333	6	golf	golf	NOUN
american_scientific_journal-3828	333	7	ball	ball	NOUN
american_scientific_journal-3828	333	8	trajectory	trajectory	NOUN
american_scientific_journal-3828	333	9	4.2	4.2	NUM
american_scientific_journal-3828	333	10	mercury	mercury	NOUN
american_scientific_journal-3828	333	11	’s	’s	PART
american_scientific_journal-3828	333	12	orbit	orbit	NOUN
american_scientific_journal-3828	333	13	5	5	NUM
american_scientific_journal-3828	333	14	.	.	PUNCT
american_scientific_journal-3828	333	15	numerical	numerical	PROPN
american_scientific_journal-3828	333	16	simulation	simulation	NOUN
american_scientific_journal-3828	333	17	and	and	CCONJ
american_scientific_journal-3828	333	18	discussion	discussion	NOUN
american_scientific_journal-3828	333	19	6	6	NUM
american_scientific_journal-3828	333	20	.	.	PUNCT
american_scientific_journal-3828	333	21	concluding	conclude	VERB
american_scientific_journal-3828	333	22	remarks	remark	NOUN