id	sid	tid	token	lemma	pos
american_scientific_journal-2957	1	1	41	41	NUM
american_scientific_journal-2957	1	2	american	american	ADJ
american_scientific_journal-2957	1	3	scientific	scientific	ADJ
american_scientific_journal-2957	1	4	research	research	NOUN
american_scientific_journal-2957	1	5	journal	journal	NOUN
american_scientific_journal-2957	1	6	for	for	ADP
american_scientific_journal-2957	1	7	engineering	engineering	NOUN
american_scientific_journal-2957	1	8	,	,	PUNCT
american_scientific_journal-2957	1	9	technology	technology	NOUN
american_scientific_journal-2957	1	10	,	,	PUNCT
american_scientific_journal-2957	1	11	and	and	CCONJ
american_scientific_journal-2957	1	12	sciences	science	NOUN
american_scientific_journal-2957	1	13	(	(	PUNCT
american_scientific_journal-2957	1	14	asrjets	asrjet	NOUN
american_scientific_journal-2957	1	15	)	)	PUNCT
american_scientific_journal-2957	1	16	issn	issn	PROPN
american_scientific_journal-2957	1	17	(	(	PUNCT
american_scientific_journal-2957	1	18	print	print	NOUN
american_scientific_journal-2957	1	19	)	)	PUNCT
american_scientific_journal-2957	1	20	2313	2313	NUM
american_scientific_journal-2957	1	21	-	-	SYM
american_scientific_journal-2957	1	22	4410	4410	NUM
american_scientific_journal-2957	1	23	,	,	PUNCT
american_scientific_journal-2957	1	24	issn	issn	PROPN
american_scientific_journal-2957	1	25	(	(	PUNCT
american_scientific_journal-2957	1	26	online	online	ADJ
american_scientific_journal-2957	1	27	)	)	PUNCT
american_scientific_journal-2957	1	28	2313	2313	NUM
american_scientific_journal-2957	1	29	-	-	SYM
american_scientific_journal-2957	1	30	4402	4402	NUM
american_scientific_journal-2957	1	31	©	©	PROPN
american_scientific_journal-2957	1	32	global	global	ADJ
american_scientific_journal-2957	1	33	society	society	NOUN
american_scientific_journal-2957	1	34	of	of	ADP
american_scientific_journal-2957	1	35	scientific	scientific	ADJ
american_scientific_journal-2957	1	36	research	research	NOUN
american_scientific_journal-2957	1	37	and	and	CCONJ
american_scientific_journal-2957	1	38	researchers	researcher	NOUN
american_scientific_journal-2957	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PRON
american_scientific_journal-2957	1	40	even	even	ADV
american_scientific_journal-2957	1	41	degree	degree	VERB
american_scientific_journal-2957	1	42	deficient	deficient	ADJ
american_scientific_journal-2957	1	43	spline	spline	NOUN
american_scientific_journal-2957	1	44	interpolation	interpolation	NOUN
american_scientific_journal-2957	1	45	v.	v.	ADP
american_scientific_journal-2957	1	46	n.	n.	PROPN
american_scientific_journal-2957	1	47	jhaa	jhaa	PROPN
american_scientific_journal-2957	1	48	*	*	PROPN
american_scientific_journal-2957	1	49	,	,	PUNCT
american_scientific_journal-2957	1	50	k.	k.	PROPN
american_scientific_journal-2957	1	51	s.	s.	PROPN
american_scientific_journal-2957	1	52	nisarb	nisarb	PROPN
american_scientific_journal-2957	1	53	,	,	PUNCT
american_scientific_journal-2957	1	54	arun	arun	PROPN
american_scientific_journal-2957	1	55	kumarc	kumarc	PROPN
american_scientific_journal-2957	1	56	a	a	PRON
american_scientific_journal-2957	1	57	,	,	PUNCT
american_scientific_journal-2957	1	58	bdepartment	bdepartment	NOUN
american_scientific_journal-2957	1	59	of	of	ADP
american_scientific_journal-2957	1	60	mathematics	mathematic	NOUN
american_scientific_journal-2957	1	61	,	,	PUNCT
american_scientific_journal-2957	1	62	college	college	NOUN
american_scientific_journal-2957	1	63	of	of	ADP
american_scientific_journal-2957	1	64	arts	art	NOUN
american_scientific_journal-2957	1	65	and	and	CCONJ
american_scientific_journal-2957	1	66	science	science	NOUN
american_scientific_journal-2957	1	67	,	,	PUNCT
american_scientific_journal-2957	1	68	prince	prince	PROPN
american_scientific_journal-2957	1	69	sattam	sattam	PROPN
american_scientific_journal-2957	1	70	bin	bin	PROPN
american_scientific_journal-2957	1	71	abdulaziz	abdulaziz	PROPN
american_scientific_journal-2957	1	72	university	university	PROPN
american_scientific_journal-2957	1	73	,	,	PUNCT
american_scientific_journal-2957	1	74	wadi	wadi	PROPN
american_scientific_journal-2957	1	75	aldwasir	aldwasir	NOUN
american_scientific_journal-2957	1	76	,	,	PUNCT
american_scientific_journal-2957	1	77	kingdom	kingdom	NOUN
american_scientific_journal-2957	1	78	of	of	ADP
american_scientific_journal-2957	1	79	saudi	saudi	PROPN
american_scientific_journal-2957	1	80	arabia	arabia	PROPN
american_scientific_journal-2957	1	81	cdepartment	cdepartment	NOUN
american_scientific_journal-2957	1	82	of	of	ADP
american_scientific_journal-2957	1	83	mathematics	mathematics	PROPN
american_scientific_journal-2957	1	84	&	&	CCONJ
american_scientific_journal-2957	1	85	computer	computer	PROPN
american_scientific_journal-2957	1	86	science	science	PROPN
american_scientific_journal-2957	1	87	,	,	PUNCT
american_scientific_journal-2957	1	88	rd	rd	PROPN
american_scientific_journal-2957	1	89	university	university	PROPN
american_scientific_journal-2957	1	90	,	,	PUNCT
american_scientific_journal-2957	1	91	jabalpur	jabalpur	PROPN
american_scientific_journal-2957	1	92	,	,	PUNCT
american_scientific_journal-2957	1	93	india	india	PROPN
american_scientific_journal-2957	1	94	abstract	abstract	NOUN
american_scientific_journal-2957	1	95	in	in	ADP
american_scientific_journal-2957	1	96	this	this	DET
american_scientific_journal-2957	1	97	present	present	ADJ
american_scientific_journal-2957	1	98	paper	paper	NOUN
american_scientific_journal-2957	1	99	we	we	PRON
american_scientific_journal-2957	1	100	study	study	VERB
american_scientific_journal-2957	1	101	the	the	DET
american_scientific_journal-2957	1	102	general	general	ADJ
american_scientific_journal-2957	1	103	even	even	ADV
american_scientific_journal-2957	1	104	degree	degree	VERB
american_scientific_journal-2957	1	105	spline	spline	NOUN
american_scientific_journal-2957	2	1	[	[	X
american_scientific_journal-2957	2	2	0,1],ms	0,1],ms	ADP
american_scientific_journal-2957	2	3	c∈	c∈	NOUN
american_scientific_journal-2957	2	4	i.e.	i.e.	X
american_scientific_journal-2957	2	5	the	the	DET
american_scientific_journal-2957	2	6	spline	spline	NOUN
american_scientific_journal-2957	2	7	of	of	ADP
american_scientific_journal-2957	2	8	degree	degree	NOUN
american_scientific_journal-2957	2	9	2	2	NUM
american_scientific_journal-2957	2	10	m	m	NOUN
american_scientific_journal-2957	2	11	,	,	PUNCT
american_scientific_journal-2957	2	12	where	where	SCONJ
american_scientific_journal-2957	2	13	m	m	NOUN
american_scientific_journal-2957	2	14	is	be	AUX
american_scientific_journal-2957	2	15	the	the	DET
american_scientific_journal-2957	2	16	positive	positive	ADJ
american_scientific_journal-2957	2	17	integer	integer	NOUN
american_scientific_journal-2957	2	18	,	,	PUNCT
american_scientific_journal-2957	2	19	matches	match	VERB
american_scientific_journal-2957	2	20	derivatives	derivative	NOUN
american_scientific_journal-2957	2	21	upto	upto	VERB
american_scientific_journal-2957	2	22	the	the	DET
american_scientific_journal-2957	2	23	order	order	NOUN
american_scientific_journal-2957	2	24	of	of	ADP
american_scientific_journal-2957	2	25	m	m	NOUN
american_scientific_journal-2957	2	26	at	at	ADP
american_scientific_journal-2957	2	27	the	the	DET
american_scientific_journal-2957	2	28	knots	knot	NOUN
american_scientific_journal-2957	2	29	of	of	ADP
american_scientific_journal-2957	2	30	uniform	uniform	ADJ
american_scientific_journal-2957	2	31	partition	partition	NOUN
american_scientific_journal-2957	2	32	.	.	PUNCT
american_scientific_journal-2957	3	1	reference[6	reference[6	NOUN
american_scientific_journal-2957	3	2	]	]	PUNCT
american_scientific_journal-2957	3	3	,	,	PUNCT
american_scientific_journal-2957	3	4	have	have	AUX
american_scientific_journal-2957	3	5	been	be	AUX
american_scientific_journal-2957	3	6	constructed	construct	VERB
american_scientific_journal-2957	3	7	an	an	DET
american_scientific_journal-2957	3	8	interpolating	interpolate	VERB
american_scientific_journal-2957	3	9	quartic	quartic	ADJ
american_scientific_journal-2957	3	10	spline	spline	NOUN
american_scientific_journal-2957	3	11	with	with	ADP
american_scientific_journal-2957	3	12	matching	match	VERB
american_scientific_journal-2957	3	13	first	first	ADJ
american_scientific_journal-2957	3	14	and	and	CCONJ
american_scientific_journal-2957	3	15	second	second	ADJ
american_scientific_journal-2957	3	16	derivative	derivative	NOUN
american_scientific_journal-2957	3	17	of	of	ADP
american_scientific_journal-2957	3	18	a	a	DET
american_scientific_journal-2957	3	19	given	give	VERB
american_scientific_journal-2957	3	20	function	function	NOUN
american_scientific_journal-2957	3	21	at	at	ADP
american_scientific_journal-2957	3	22	the	the	DET
american_scientific_journal-2957	3	23	knots	knot	NOUN
american_scientific_journal-2957	3	24	.	.	PUNCT
american_scientific_journal-2957	4	1	a	a	DET
american_scientific_journal-2957	4	2	similar	similar	ADJ
american_scientific_journal-2957	4	3	study	study	NOUN
american_scientific_journal-2957	4	4	was	be	AUX
american_scientific_journal-2957	4	5	made	make	VERB
american_scientific_journal-2957	4	6	by	by	ADP
american_scientific_journal-2957	4	7	[	[	X
american_scientific_journal-2957	4	8	5	5	NUM
american_scientific_journal-2957	4	9	]	]	PUNCT
american_scientific_journal-2957	4	10	,	,	PUNCT
american_scientific_journal-2957	4	11	for	for	ADP
american_scientific_journal-2957	4	12	even	even	ADV
american_scientific_journal-2957	4	13	degree	degree	NOUN
american_scientific_journal-2957	4	14	splines	spline	NOUN
american_scientific_journal-2957	4	15	upto	upto	NOUN
american_scientific_journal-2957	4	16	degree	degree	NOUN
american_scientific_journal-2957	4	17	10	10	NUM
american_scientific_journal-2957	4	18	.	.	PUNCT
american_scientific_journal-2957	5	1	further	far	ADV
american_scientific_journal-2957	5	2	,	,	PUNCT
american_scientific_journal-2957	5	3	it	it	PRON
american_scientific_journal-2957	5	4	was	be	AUX
american_scientific_journal-2957	5	5	conjectured	conjecture	VERB
american_scientific_journal-2957	5	6	by	by	ADP
american_scientific_journal-2957	5	7	[	[	X
american_scientific_journal-2957	5	8	5	5	NUM
american_scientific_journal-2957	5	9	]	]	PUNCT
american_scientific_journal-2957	5	10	,	,	PUNCT
american_scientific_journal-2957	5	11	that	that	SCONJ
american_scientific_journal-2957	5	12	higher	high	ADJ
american_scientific_journal-2957	5	13	degree	degree	NOUN
american_scientific_journal-2957	5	14	splines	spline	NOUN
american_scientific_journal-2957	5	15	can	can	AUX
american_scientific_journal-2957	5	16	be	be	AUX
american_scientific_journal-2957	5	17	obtained	obtain	VERB
american_scientific_journal-2957	5	18	in	in	ADP
american_scientific_journal-2957	5	19	a	a	DET
american_scientific_journal-2957	5	20	similar	similar	ADJ
american_scientific_journal-2957	5	21	way	way	NOUN
american_scientific_journal-2957	5	22	.	.	PUNCT
american_scientific_journal-2957	6	1	they	they	PRON
american_scientific_journal-2957	6	2	also	also	ADV
american_scientific_journal-2957	6	3	raised	raise	VERB
american_scientific_journal-2957	6	4	a	a	DET
american_scientific_journal-2957	6	5	question	question	NOUN
american_scientific_journal-2957	6	6	for	for	ADP
american_scientific_journal-2957	6	7	getting	get	VERB
american_scientific_journal-2957	6	8	a	a	DET
american_scientific_journal-2957	6	9	proof	proof	NOUN
american_scientific_journal-2957	6	10	for	for	ADP
american_scientific_journal-2957	6	11	general	general	ADJ
american_scientific_journal-2957	6	12	degree	degree	NOUN
american_scientific_journal-2957	6	13	splines	spline	NOUN
american_scientific_journal-2957	6	14	.	.	PUNCT
american_scientific_journal-2957	7	1	we	we	PRON
american_scientific_journal-2957	7	2	provide	provide	VERB
american_scientific_journal-2957	7	3	a	a	DET
american_scientific_journal-2957	7	4	proof	proof	NOUN
american_scientific_journal-2957	7	5	for	for	ADP
american_scientific_journal-2957	7	6	general	general	ADJ
american_scientific_journal-2957	7	7	degree	degree	NOUN
american_scientific_journal-2957	7	8	spline	spline	NOUN
american_scientific_journal-2957	7	9	of	of	ADP
american_scientific_journal-2957	7	10	degree	degree	NOUN
american_scientific_journal-2957	7	11	2	2	NUM
american_scientific_journal-2957	7	12	m.	m.	NOUN
american_scientific_journal-2957	7	13	explicit	explicit	ADJ
american_scientific_journal-2957	7	14	formula	formula	NOUN
american_scientific_journal-2957	7	15	for	for	ADP
american_scientific_journal-2957	7	16	these	these	DET
american_scientific_journal-2957	7	17	splines	spline	NOUN
american_scientific_journal-2957	7	18	are	be	AUX
american_scientific_journal-2957	7	19	obtained	obtain	VERB
american_scientific_journal-2957	7	20	.	.	PUNCT
american_scientific_journal-2957	8	1	error	error	NOUN
american_scientific_journal-2957	8	2	estimation	estimation	NOUN
american_scientific_journal-2957	8	3	to	to	ADP
american_scientific_journal-2957	8	4	these	these	DET
american_scientific_journal-2957	8	5	splines	spline	NOUN
american_scientific_journal-2957	8	6	in	in	ADP
american_scientific_journal-2957	8	7	terms	term	NOUN
american_scientific_journal-2957	8	8	of	of	ADP
american_scientific_journal-2957	8	9	chebyshev	chebyshev	NOUN
american_scientific_journal-2957	8	10	norm	norm	NOUN
american_scientific_journal-2957	8	11	is	be	AUX
american_scientific_journal-2957	8	12	also	also	ADV
american_scientific_journal-2957	8	13	represented	represent	VERB
american_scientific_journal-2957	8	14	by	by	ADP
american_scientific_journal-2957	8	15	using	use	VERB
american_scientific_journal-2957	8	16	the	the	DET
american_scientific_journal-2957	8	17	result	result	NOUN
american_scientific_journal-2957	8	18	due	due	ADP
american_scientific_journal-2957	8	19	to	to	ADP
american_scientific_journal-2957	8	20	[	[	X
american_scientific_journal-2957	8	21	2	2	NUM
american_scientific_journal-2957	8	22	]	]	PUNCT
american_scientific_journal-2957	8	23	.	.	PUNCT
american_scientific_journal-2957	9	1	on	on	ADP
american_scientific_journal-2957	9	2	combining	combine	VERB
american_scientific_journal-2957	9	3	the	the	DET
american_scientific_journal-2957	9	4	result	result	NOUN
american_scientific_journal-2957	9	5	of	of	ADP
american_scientific_journal-2957	9	6	this	this	DET
american_scientific_journal-2957	9	7	paper	paper	NOUN
american_scientific_journal-2957	9	8	and	and	CCONJ
american_scientific_journal-2957	9	9	the	the	DET
american_scientific_journal-2957	9	10	result	result	NOUN
american_scientific_journal-2957	9	11	obtained	obtain	VERB
american_scientific_journal-2957	9	12	by	by	ADP
american_scientific_journal-2957	9	13	[	[	X
american_scientific_journal-2957	9	14	4	4	X
american_scientific_journal-2957	9	15	]	]	PUNCT
american_scientific_journal-2957	9	16	with	with	ADP
american_scientific_journal-2957	9	17	some	some	DET
american_scientific_journal-2957	9	18	modification	modification	NOUN
american_scientific_journal-2957	9	19	we	we	PRON
american_scientific_journal-2957	9	20	get	get	VERB
american_scientific_journal-2957	9	21	deficient	deficient	ADJ
american_scientific_journal-2957	9	22	spline	spline	NOUN
american_scientific_journal-2957	9	23	of	of	ADP
american_scientific_journal-2957	9	24	general	general	ADJ
american_scientific_journal-2957	9	25	degree	degree	NOUN
american_scientific_journal-2957	9	26	for	for	ADP
american_scientific_journal-2957	9	27	approximation	approximation	NOUN
american_scientific_journal-2957	9	28	.	.	PUNCT
american_scientific_journal-2957	10	1	the	the	DET
american_scientific_journal-2957	10	2	deficient	deficient	ADJ
american_scientific_journal-2957	10	3	splines	spline	NOUN
american_scientific_journal-2957	10	4	are	be	AUX
american_scientific_journal-2957	10	5	found	find	VERB
american_scientific_journal-2957	10	6	useful	useful	ADJ
american_scientific_journal-2957	10	7	because	because	SCONJ
american_scientific_journal-2957	10	8	of	of	ADP
american_scientific_journal-2957	10	9	the	the	DET
american_scientific_journal-2957	10	10	fact	fact	NOUN
american_scientific_journal-2957	10	11	that	that	SCONJ
american_scientific_journal-2957	10	12	,	,	PUNCT
american_scientific_journal-2957	10	13	in	in	ADP
american_scientific_journal-2957	10	14	this	this	DET
american_scientific_journal-2957	10	15	case	case	NOUN
american_scientific_journal-2957	10	16	we	we	PRON
american_scientific_journal-2957	10	17	require	require	VERB
american_scientific_journal-2957	10	18	less	less	ADJ
american_scientific_journal-2957	10	19	continuity	continuity	NOUN
american_scientific_journal-2957	10	20	requirements	requirement	NOUN
american_scientific_journal-2957	10	21	(	(	PUNCT
american_scientific_journal-2957	10	22	see	see	VERB
american_scientific_journal-2957	10	23	de	de	X
american_scientific_journal-2957	10	24	boor	boor	NOUN
american_scientific_journal-2957	10	25	[	[	X
american_scientific_journal-2957	10	26	3	3	NUM
american_scientific_journal-2957	10	27	]	]	PUNCT
american_scientific_journal-2957	10	28	,	,	PUNCT
american_scientific_journal-2957	10	29	p.	p.	NOUN
american_scientific_journal-2957	10	30	125	125	NUM
american_scientific_journal-2957	10	31	)	)	PUNCT
american_scientific_journal-2957	10	32	.	.	PUNCT
american_scientific_journal-2957	11	1	the	the	DET
american_scientific_journal-2957	11	2	restrictions	restriction	NOUN
american_scientific_journal-2957	11	3	of	of	ADP
american_scientific_journal-2957	11	4	smoothness	smoothness	NOUN
american_scientific_journal-2957	11	5	are	be	AUX
american_scientific_journal-2957	11	6	compensated	compensate	VERB
american_scientific_journal-2957	11	7	by	by	ADP
american_scientific_journal-2957	11	8	considering	consider	VERB
american_scientific_journal-2957	11	9	additional	additional	ADJ
american_scientific_journal-2957	11	10	interpolatory	interpolatory	NOUN
american_scientific_journal-2957	11	11	conditions	condition	NOUN
american_scientific_journal-2957	11	12	.	.	PUNCT
american_scientific_journal-2957	12	1	keywords	keyword	NOUN
american_scientific_journal-2957	12	2	:	:	PUNCT
american_scientific_journal-2957	12	3	even	even	ADV
american_scientific_journal-2957	12	4	degree	degree	NOUN
american_scientific_journal-2957	12	5	;	;	PUNCT
american_scientific_journal-2957	12	6	deficient	deficient	ADJ
american_scientific_journal-2957	12	7	;	;	PUNCT
american_scientific_journal-2957	12	8	spline	spline	ADJ
american_scientific_journal-2957	12	9	interpolation	interpolation	NOUN
american_scientific_journal-2957	12	10	.	.	PUNCT
american_scientific_journal-2957	13	1	1	1	X
american_scientific_journal-2957	13	2	.	.	X
american_scientific_journal-2957	13	3	introduction	introduction	NOUN
american_scientific_journal-2957	13	4	let	let	VERB
american_scientific_journal-2957	13	5	0	0	NUM
american_scientific_journal-2957	13	6	1	1	NUM
american_scientific_journal-2957	13	7	:	:	SYM
american_scientific_journal-2957	13	8	0	0	NUM
american_scientific_journal-2957	13	9	...	...	PUNCT
american_scientific_journal-2957	14	1	1,nx	1,nx	NUM
american_scientific_journal-2957	14	2	x	x	SYM
american_scientific_journal-2957	14	3	x∆	x∆	PUNCT
american_scientific_journal-2957	14	4	=	=	PUNCT
american_scientific_journal-2957	14	5	<	<	X
american_scientific_journal-2957	14	6	<	<	X
american_scientific_journal-2957	14	7	<	<	X
american_scientific_journal-2957	14	8	=	=	X
american_scientific_journal-2957	14	9	with	with	ADP
american_scientific_journal-2957	14	10	1	1	NUM
american_scientific_journal-2957	14	11	,	,	PUNCT
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american_scientific_journal-2957	64	11	,	,	PUNCT
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american_scientific_journal-2957	72	3			X
american_scientific_journal-2957	73	1	−	−	NUM
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american_scientific_journal-2957	73	3			NOUN
american_scientific_journal-2957	73	4			PUNCT
american_scientific_journal-2957	73	5	∑	∑	PROPN
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american_scientific_journal-2957	73	11	1	1	NUM
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american_scientific_journal-2957	73	13	2	2	NUM
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american_scientific_journal-2957	87	1	i	i	PRON
american_scientific_journal-2957	87	2	k	k	PROPN
american_scientific_journal-2957	88	1	k	k	PROPN
american_scientific_journal-2957	88	2	m	m	VERB
american_scientific_journal-2957	88	3	m	m	VERB
american_scientific_journal-2957	88	4	k	k	NOUN
american_scientific_journal-2957	88	5	m	m	VERB
american_scientific_journal-2957	88	6	i	i	PRON
american_scientific_journal-2957	88	7	j	j	NOUN
american_scientific_journal-2957	88	8	m	m	VERB
american_scientific_journal-2957	88	9	i	i	PRON
american_scientific_journal-2957	88	10	j	j	PROPN
american_scientific_journal-2957	89	1	k	k	PROPN
american_scientific_journal-2957	89	2	k	k	PROPN
american_scientific_journal-2957	90	1	−	−	PROPN
american_scientific_journal-2957	90	2	−	−	PROPN
american_scientific_journal-2957	91	1	−	−	NOUN
american_scientific_journal-2957	91	2	−	−	PROPN
american_scientific_journal-2957	92	1	=	=	SYM
american_scientific_journal-2957	92	2	+	+	NOUN
american_scientific_journal-2957	92	3			PROPN
american_scientific_journal-2957	92	4			NOUN
american_scientific_journal-2957	92	5			NOUN
american_scientific_journal-2957	93	1	−	−	NOUN
american_scientific_journal-2957	93	2	−	−	PROPN
american_scientific_journal-2957	94	1	=	=	SYM
american_scientific_journal-2957	94	2	≥	≥	X
american_scientific_journal-2957	95	1	+	+	NOUN
american_scientific_journal-2957	95	2			NOUN
american_scientific_journal-2957	95	3			X
american_scientific_journal-2957	96	1	−	−	NUM
american_scientific_journal-2957	96	2	−	−	NOUN
american_scientific_journal-2957	96	3	−	−	NOUN
american_scientific_journal-2957	96	4			NOUN
american_scientific_journal-2957	96	5			PUNCT
american_scientific_journal-2957	97	1	∑	∑	PUNCT
american_scientific_journal-2957	97	2	american	american	ADJ
american_scientific_journal-2957	97	3	scientific	scientific	ADJ
american_scientific_journal-2957	97	4	research	research	NOUN
american_scientific_journal-2957	97	5	journal	journal	NOUN
american_scientific_journal-2957	97	6	for	for	ADP
american_scientific_journal-2957	97	7	engineering	engineering	NOUN
american_scientific_journal-2957	97	8	,	,	PUNCT
american_scientific_journal-2957	97	9	technology	technology	NOUN
american_scientific_journal-2957	97	10	,	,	PUNCT
american_scientific_journal-2957	97	11	and	and	CCONJ
american_scientific_journal-2957	97	12	sciences	science	NOUN
american_scientific_journal-2957	97	13	(	(	PUNCT
american_scientific_journal-2957	97	14	asrjets	asrjet	NOUN
american_scientific_journal-2957	97	15	)	)	PUNCT
american_scientific_journal-2957	97	16	(	(	PUNCT
american_scientific_journal-2957	97	17	2017	2017	NUM
american_scientific_journal-2957	97	18	)	)	PUNCT
american_scientific_journal-2957	97	19	volume	volume	NOUN
american_scientific_journal-2957	97	20	32	32	NUM
american_scientific_journal-2957	97	21	,	,	PUNCT
american_scientific_journal-2957	97	22	no	no	DET
american_scientific_journal-2957	97	23	1	1	NUM
american_scientific_journal-2957	97	24	,	,	PUNCT
american_scientific_journal-2957	97	25	pp	pp	ADV
american_scientific_journal-2957	97	26	41	41	NUM
american_scientific_journal-2957	97	27	-	-	SYM
american_scientific_journal-2957	97	28	48	48	NUM
american_scientific_journal-2957	97	29	43	43	NUM
american_scientific_journal-2957	97	30	proof	proof	NOUN
american_scientific_journal-2957	97	31	of	of	ADP
american_scientific_journal-2957	97	32	lemma	lemma	PROPN
american_scientific_journal-2957	97	33	.	.	PUNCT
american_scientific_journal-2957	98	1	we	we	PRON
american_scientific_journal-2957	98	2	use	use	VERB
american_scientific_journal-2957	98	3	the	the	DET
american_scientific_journal-2957	98	4	notation	notation	NOUN
american_scientific_journal-2957	98	5	that	that	PRON
american_scientific_journal-2957	98	6	eb(1	eb(1	NOUN
american_scientific_journal-2957	98	7	-	-	PUNCT
american_scientific_journal-2957	98	8	x)q	x)q	PROPN
american_scientific_journal-2957	98	9	is	be	AUX
american_scientific_journal-2957	98	10	the	the	DET
american_scientific_journal-2957	98	11	binomial	binomial	ADJ
american_scientific_journal-2957	98	12	expansion	expansion	NOUN
american_scientific_journal-2957	98	13	.	.	PUNCT
american_scientific_journal-2957	99	1	for	for	ADP
american_scientific_journal-2957	99	2	(	(	PUNCT
american_scientific_journal-2957	99	3	i	i	NOUN
american_scientific_journal-2957	99	4	)	)	PUNCT
american_scientific_journal-2957	99	5	we	we	PRON
american_scientific_journal-2957	99	6	consider	consider	VERB
american_scientific_journal-2957	99	7	eb(1	eb(1	NOUN
american_scientific_journal-2957	99	8	-	-	PUNCT
american_scientific_journal-2957	99	9	x)-m	x)-m	NOUN
american_scientific_journal-2957	99	10	eb(1	eb(1	NOUN
american_scientific_journal-2957	99	11	-	-	PUNCT
american_scientific_journal-2957	99	12	x)m	x)m	NOUN
american_scientific_journal-2957	99	13	and	and	CCONJ
american_scientific_journal-2957	99	14	collecting	collect	VERB
american_scientific_journal-2957	99	15	the	the	DET
american_scientific_journal-2957	99	16	coefficients	coefficient	NOUN
american_scientific_journal-2957	99	17	for	for	ADP
american_scientific_journal-2957	99	18	xr	xr	PROPN
american_scientific_journal-2957	99	19	-	-	PROPN
american_scientific_journal-2957	99	20	j	j	PROPN
american_scientific_journal-2957	99	21	,	,	PUNCT
american_scientific_journal-2957	99	22	we	we	PRON
american_scientific_journal-2957	99	23	get	get	VERB
american_scientific_journal-2957	99	24	the	the	DET
american_scientific_journal-2957	99	25	result	result	NOUN
american_scientific_journal-2957	99	26	.	.	PUNCT
american_scientific_journal-2957	100	1	we	we	PRON
american_scientific_journal-2957	100	2	get	get	VERB
american_scientific_journal-2957	100	3	part	part	NOUN
american_scientific_journal-2957	100	4	(	(	PUNCT
american_scientific_journal-2957	100	5	ii	ii	NOUN
american_scientific_journal-2957	100	6	)	)	PUNCT
american_scientific_journal-2957	100	7	if	if	SCONJ
american_scientific_journal-2957	100	8	we	we	PRON
american_scientific_journal-2957	100	9	compare	compare	VERB
american_scientific_journal-2957	100	10	the	the	DET
american_scientific_journal-2957	100	11	coefficients	coefficient	NOUN
american_scientific_journal-2957	100	12	of	of	ADP
american_scientific_journal-2957	100	13	xm	xm	PROPN
american_scientific_journal-2957	100	14	-	-	PUNCT
american_scientific_journal-2957	100	15	i	i	PROPN
american_scientific_journal-2957	100	16	-	-	PUNCT
american_scientific_journal-2957	100	17	j	j	PROPN
american_scientific_journal-2957	100	18	in	in	ADP
american_scientific_journal-2957	100	19	the	the	DET
american_scientific_journal-2957	100	20	expansion	expansion	NOUN
american_scientific_journal-2957	100	21	eb(1	eb(1	NOUN
american_scientific_journal-2957	100	22	-	-	PUNCT
american_scientific_journal-2957	100	23	x)-m-1	x)-m-1	ADP
american_scientific_journal-2957	100	24	eb(1	eb(1	NOUN
american_scientific_journal-2957	100	25	-	-	PUNCT
american_scientific_journal-2957	100	26	x)2m	x)2m	NOUN
american_scientific_journal-2957	100	27	-	-	PUNCT
american_scientific_journal-2957	100	28	r	r	NOUN
american_scientific_journal-2957	100	29	.	.	PUNCT
american_scientific_journal-2957	101	1	for	for	ADP
american_scientific_journal-2957	101	2	(	(	PUNCT
american_scientific_journal-2957	101	3	iii	iii	X
american_scientific_journal-2957	101	4	)	)	PUNCT
american_scientific_journal-2957	101	5	we	we	PRON
american_scientific_journal-2957	101	6	compare	compare	VERB
american_scientific_journal-2957	101	7	the	the	DET
american_scientific_journal-2957	101	8	coefficients	coefficient	NOUN
american_scientific_journal-2957	101	9	of	of	ADP
american_scientific_journal-2957	101	10	xm	xm	PROPN
american_scientific_journal-2957	101	11	-	-	PUNCT
american_scientific_journal-2957	101	12	j	j	PROPN
american_scientific_journal-2957	101	13	in	in	ADP
american_scientific_journal-2957	101	14	the	the	DET
american_scientific_journal-2957	101	15	identity	identity	NOUN
american_scientific_journal-2957	101	16	,	,	PUNCT
american_scientific_journal-2957	101	17	1	1	NUM
american_scientific_journal-2957	101	18	1	1	NUM
american_scientific_journal-2957	101	19	2(1	2(1	NUM
american_scientific_journal-2957	101	20	)	)	PUNCT
american_scientific_journal-2957	101	21	(	(	PUNCT
american_scientific_journal-2957	101	22	1	1	X
american_scientific_journal-2957	101	23	)	)	PUNCT
american_scientific_journal-2957	101	24	(	(	PUNCT
american_scientific_journal-2957	101	25	1	1	NUM
american_scientific_journal-2957	101	26	...	...	PUNCT
american_scientific_journal-2957	101	27	)	)	PUNCT
american_scientific_journal-2957	102	1	(	(	PUNCT
american_scientific_journal-2957	102	2	1	1	X
american_scientific_journal-2957	102	3	)	)	PUNCT
american_scientific_journal-2957	102	4	.m	.m	PUNCT
american_scientific_journal-2957	103	1	m	m	VERB
american_scientific_journal-2957	104	1	m	m	VERB
american_scientific_journal-2957	104	2	mx	mx	PROPN
american_scientific_journal-2957	104	3	eb	eb	PROPN
american_scientific_journal-2957	104	4	x	x	PROPN
american_scientific_journal-2957	104	5	x	x	PUNCT
american_scientific_journal-2957	104	6	x	x	SYM
american_scientific_journal-2957	104	7	x	x	PUNCT
american_scientific_journal-2957	104	8	eb	eb	PROPN
american_scientific_journal-2957	104	9	x+	x+	NUM
american_scientific_journal-2957	104	10	−	−	PROPN
american_scientific_journal-2957	104	11	−	−	PROPN
american_scientific_journal-2957	104	12	−−	−−	NOUN
american_scientific_journal-2957	104	13	−	−	NOUN
american_scientific_journal-2957	104	14	=	=	PUNCT
american_scientific_journal-2957	105	1	+	+	PUNCT
american_scientific_journal-2957	105	2	+	+	PUNCT
american_scientific_journal-2957	105	3	+	+	PUNCT
american_scientific_journal-2957	105	4	+	+	CCONJ
american_scientific_journal-2957	105	5	−	−	NOUN
american_scientific_journal-2957	105	6	the	the	DET
american_scientific_journal-2957	105	7	last	last	ADJ
american_scientific_journal-2957	105	8	result	result	NOUN
american_scientific_journal-2957	105	9	follows	follow	VERB
american_scientific_journal-2957	105	10	when	when	SCONJ
american_scientific_journal-2957	105	11	we	we	PRON
american_scientific_journal-2957	105	12	compare	compare	VERB
american_scientific_journal-2957	105	13	the	the	DET
american_scientific_journal-2957	105	14	coefficients	coefficient	NOUN
american_scientific_journal-2957	105	15	of	of	ADP
american_scientific_journal-2957	105	16	xm-1	xm-1	PROPN
american_scientific_journal-2957	105	17	-	-	PROPN
american_scientific_journal-2957	105	18	j	j	PROPN
american_scientific_journal-2957	105	19	in	in	ADP
american_scientific_journal-2957	105	20	the	the	DET
american_scientific_journal-2957	105	21	expansion	expansion	NOUN
american_scientific_journal-2957	105	22	of	of	ADP
american_scientific_journal-2957	105	23	1	1	NUM
american_scientific_journal-2957	105	24	1(1	1(1	NUM
american_scientific_journal-2957	105	25	)	)	PUNCT
american_scientific_journal-2957	105	26	(	(	PUNCT
american_scientific_journal-2957	105	27	1	1	X
american_scientific_journal-2957	105	28	)	)	PUNCT
american_scientific_journal-2957	105	29	(	(	PUNCT
american_scientific_journal-2957	105	30	1	1	X
american_scientific_journal-2957	105	31	)	)	PUNCT
american_scientific_journal-2957	105	32	.m	.m	PUNCT
american_scientific_journal-2957	106	1	meb	meb	NOUN
american_scientific_journal-2957	106	2	x	x	PUNCT
american_scientific_journal-2957	107	1	x	x	PROPN
american_scientific_journal-2957	107	2	eb	eb	PROPN
american_scientific_journal-2957	107	3	x−	x−	PROPN
american_scientific_journal-2957	107	4	−	−	PROPN
american_scientific_journal-2957	107	5	−−	−−	NOUN
american_scientific_journal-2957	107	6	=	=	SYM
american_scientific_journal-2957	107	7	−	−	PROPN
american_scientific_journal-2957	107	8	=	=	SYM
american_scientific_journal-2957	107	9	−	−	PROPN
american_scientific_journal-2957	107	10	proof	proof	NOUN
american_scientific_journal-2957	107	11	of	of	ADP
american_scientific_journal-2957	107	12	theorem	theorem	ADJ
american_scientific_journal-2957	107	13	2.1	2.1	NUM
american_scientific_journal-2957	107	14	let	let	VERB
american_scientific_journal-2957	107	15	d	d	NOUN
american_scientific_journal-2957	107	16	denote	denote	VERB
american_scientific_journal-2957	107	17	the	the	DET
american_scientific_journal-2957	107	18	differential	differential	ADJ
american_scientific_journal-2957	107	19	operator	operator	NOUN
american_scientific_journal-2957	107	20	with	with	ADP
american_scientific_journal-2957	107	21	respect	respect	NOUN
american_scientific_journal-2957	107	22	to	to	ADP
american_scientific_journal-2957	107	23	x	x	SYM
american_scientific_journal-2957	107	24	,	,	PUNCT
american_scientific_journal-2957	107	25	1	1	NUM
american_scientific_journal-2957	107	26	0	0	NUM
american_scientific_journal-2957	107	27	(	(	PUNCT
american_scientific_journal-2957	107	28	)	)	PUNCT
american_scientific_journal-2957	107	29	,	,	PUNCT
american_scientific_journal-2957	107	30	0	0	NUM
american_scientific_journal-2957	107	31	,	,	PUNCT
american_scientific_journal-2957	107	32	(	(	PUNCT
american_scientific_journal-2957	107	33	1).r	1).r	NUM
american_scientific_journal-2957	107	34	rd	rd	NOUN
american_scientific_journal-2957	108	1	d	d	NOUN
american_scientific_journal-2957	108	2	d	d	NOUN
american_scientific_journal-2957	108	3	r	r	NOUN
american_scientific_journal-2957	108	4	d−=	d−=	X
american_scientific_journal-2957	108	5	<	<	X
american_scientific_journal-2957	108	6	=	=	X
american_scientific_journal-2957	108	7	we	we	PRON
american_scientific_journal-2957	108	8	observe	observe	VERB
american_scientific_journal-2957	108	9	that	that	SCONJ
american_scientific_journal-2957	108	10	d(q	d(q	PROPN
american_scientific_journal-2957	108	11	)	)	PUNCT
american_scientific_journal-2957	108	12	=	=	SYM
american_scientific_journal-2957	108	13	1	1	NUM
american_scientific_journal-2957	108	14	/	/	SYM
american_scientific_journal-2957	108	15	h.	h.	NOUN
american_scientific_journal-2957	108	16	we	we	PRON
american_scientific_journal-2957	108	17	have	have	VERB
american_scientific_journal-2957	108	18	for	for	ADP
american_scientific_journal-2957	108	19	r	r	NOUN
american_scientific_journal-2957	108	20	=	=	SYM
american_scientific_journal-2957	108	21	1,2,	1,2,	NUM
american_scientific_journal-2957	108	22	…	…	SYM
american_scientific_journal-2957	108	23	,m-1	,m-1	NUM
american_scientific_journal-2957	108	24	,	,	PUNCT
american_scientific_journal-2957	108	25	,	,	PUNCT
american_scientific_journal-2957	108	26	2	2	NUM
american_scientific_journal-2957	108	27	1	1	NUM
american_scientific_journal-2957	108	28	0	0	NUM
american_scientific_journal-2957	108	29	0	0	NUM
american_scientific_journal-2957	108	30	11	11	NUM
american_scientific_journal-2957	108	31	(	(	PUNCT
american_scientific_journal-2957	108	32	)	)	PUNCT
american_scientific_journal-2957	108	33	(	(	PUNCT
american_scientific_journal-2957	108	34	1	1	NUM
american_scientific_journal-2957	108	35	)	)	PUNCT
american_scientific_journal-2957	108	36	.	.	PUNCT
american_scientific_journal-2957	108	37	!	!	PUNCT
american_scientific_journal-2957	109	1	m	m	VERB
american_scientific_journal-2957	110	1	j	j	NOUN
american_scientific_journal-2957	110	2	m	m	VERB
american_scientific_journal-2957	110	3	r	r	NOUN
american_scientific_journal-2957	111	1	i	i	NOUN
american_scientific_journal-2957	111	2	r	r	NOUN
american_scientific_journal-2957	111	3	j	j	PROPN
american_scientific_journal-2957	112	1	k	k	NOUN
american_scientific_journal-2957	113	1	i	i	PRON
american_scientific_journal-2957	113	2	m	m	VERB
american_scientific_journal-2957	113	3	j	j	VERB
american_scientific_journal-2957	114	1	k	k	INTJ
american_scientific_journal-2957	114	2	i	i	PRON
american_scientific_journal-2957	114	3	m	m	VERB
american_scientific_journal-2957	114	4	k	k	VERB
american_scientific_journal-2957	114	5	m	m	VERB
american_scientific_journal-2957	114	6	d	d	NOUN
american_scientific_journal-2957	114	7	t	t	NOUN
american_scientific_journal-2957	114	8	q	q	PROPN
american_scientific_journal-2957	115	1	d	d	X
american_scientific_journal-2957	115	2	q	q	X
american_scientific_journal-2957	115	3	k	k	X
american_scientific_journal-2957	115	4	ij	ij	INTJ
american_scientific_journal-2957	115	5	−	−	PROPN
american_scientific_journal-2957	116	1	+	+	CCONJ
american_scientific_journal-2957	116	2	+	+	PUNCT
american_scientific_journal-2957	116	3	+	+	X
american_scientific_journal-2957	116	4	=	=	SYM
american_scientific_journal-2957	116	5	=	=	SYM
american_scientific_journal-2957	117	1	−	−	PRON
american_scientific_journal-2957	118	1	+	+	NOUN
american_scientific_journal-2957	118	2			NOUN
american_scientific_journal-2957	118	3			X
american_scientific_journal-2957	118	4			PROPN
american_scientific_journal-2957	118	5			PUNCT
american_scientific_journal-2957	119	1	=	=	PUNCT
american_scientific_journal-2957	119	2	−	−	ADJ
american_scientific_journal-2957	119	3			NOUN
american_scientific_journal-2957	119	4			NOUN
american_scientific_journal-2957	119	5			VERB
american_scientific_journal-2957	119	6			NOUN
american_scientific_journal-2957	119	7			PUNCT
american_scientific_journal-2957	119	8			NOUN
american_scientific_journal-2957	119	9			PUNCT
american_scientific_journal-2957	119	10	∑	∑	PUNCT
american_scientific_journal-2957	119	11	∑	∑	PUNCT
american_scientific_journal-2957	119	12	in	in	ADP
american_scientific_journal-2957	119	13	case	case	NOUN
american_scientific_journal-2957	119	14	r	r	NOUN
american_scientific_journal-2957	119	15	<	<	X
american_scientific_journal-2957	119	16	j	j	PROPN
american_scientific_journal-2957	119	17	,	,	PUNCT
american_scientific_journal-2957	119	18	at	at	ADP
american_scientific_journal-2957	119	19	q	q	NOUN
american_scientific_journal-2957	119	20	=	=	SYM
american_scientific_journal-2957	119	21	0	0	NUM
american_scientific_journal-2957	119	22	,	,	PUNCT
american_scientific_journal-2957	119	23	,	,	PUNCT
american_scientific_journal-2957	119	24	2	2	NUM
american_scientific_journal-2957	119	25	1	1	NUM
american_scientific_journal-2957	119	26	(	(	PUNCT
american_scientific_journal-2957	119	27	)	)	PUNCT
american_scientific_journal-2957	119	28	0.r	0.r	NUM
american_scientific_journal-2957	119	29	m	m	VERB
american_scientific_journal-2957	119	30	jd	jd	ADP
american_scientific_journal-2957	119	31	t	t	PROPN
american_scientific_journal-2957	119	32	q+	q+	ADV
american_scientific_journal-2957	119	33	=	=	PUNCT
american_scientific_journal-2957	119	34	(	(	PUNCT
american_scientific_journal-2957	119	35	3	3	NUM
american_scientific_journal-2957	119	36	)	)	PUNCT
american_scientific_journal-2957	119	37	for	for	ADP
american_scientific_journal-2957	119	38	the	the	DET
american_scientific_journal-2957	119	39	case	case	NOUN
american_scientific_journal-2957	119	40	r	r	NOUN
american_scientific_journal-2957	119	41	=	=	SYM
american_scientific_journal-2957	119	42	j	j	PROPN
american_scientific_journal-2957	119	43	,	,	PUNCT
american_scientific_journal-2957	119	44	the	the	DET
american_scientific_journal-2957	119	45	term	term	NOUN
american_scientific_journal-2957	119	46	1,r	1,r	NUM
american_scientific_journal-2957	119	47	j	j	PROPN
american_scientific_journal-2957	120	1	kd	kd	PROPN
american_scientific_journal-2957	120	2	q	q	PROPN
american_scientific_journal-2957	121	1	+	+	PROPN
american_scientific_journal-2957	121	2	+	+	CCONJ
american_scientific_journal-2957	121	3	at	at	ADP
american_scientific_journal-2957	121	4	q	q	NOUN
american_scientific_journal-2957	121	5	=	=	SYM
american_scientific_journal-2957	121	6	0	0	NUM
american_scientific_journal-2957	121	7	is	be	AUX
american_scientific_journal-2957	121	8	not	not	PART
american_scientific_journal-2957	121	9	zero	zero	NUM
american_scientific_journal-2957	121	10	if	if	SCONJ
american_scientific_journal-2957	121	11	and	and	CCONJ
american_scientific_journal-2957	121	12	only	only	ADV
american_scientific_journal-2957	121	13	if	if	SCONJ
american_scientific_journal-2957	121	14	k	k	PROPN
american_scientific_journal-2957	122	1	=	=	PUNCT
american_scientific_journal-2957	122	2	i	i	NOUN
american_scientific_journal-2957	122	3	=	=	NOUN
american_scientific_journal-2957	122	4	0	0	NUM
american_scientific_journal-2957	122	5	,	,	PUNCT
american_scientific_journal-2957	122	6	we	we	PRON
american_scientific_journal-2957	122	7	get	get	VERB
american_scientific_journal-2957	122	8	,	,	PUNCT
american_scientific_journal-2957	122	9	2	2	NUM
american_scientific_journal-2957	122	10	1	1	NUM
american_scientific_journal-2957	122	11	(	(	PUNCT
american_scientific_journal-2957	122	12	)	)	PUNCT
american_scientific_journal-2957	122	13	,	,	PUNCT
american_scientific_journal-2957	122	14	r	r	NOUN
american_scientific_journal-2957	122	15	r	r	NOUN
american_scientific_journal-2957	122	16	m	m	VERB
american_scientific_journal-2957	122	17	jd	jd	PROPN
american_scientific_journal-2957	122	18	t	t	NOUN
american_scientific_journal-2957	122	19	q	q	PROPN
american_scientific_journal-2957	122	20	h−	h−	PROPN
american_scientific_journal-2957	123	1	+	+	CCONJ
american_scientific_journal-2957	123	2	=	=	PUNCT
american_scientific_journal-2957	123	3	at	at	ADP
american_scientific_journal-2957	123	4	q	q	NOUN
american_scientific_journal-2957	124	1	=	=	NOUN
american_scientific_journal-2957	124	2	0	0	PROPN
american_scientific_journal-2957	124	3	.	.	PUNCT
american_scientific_journal-2957	125	1	(	(	PUNCT
american_scientific_journal-2957	125	2	4	4	NUM
american_scientific_journal-2957	125	3	)	)	PUNCT
american_scientific_journal-2957	125	4	for	for	ADP
american_scientific_journal-2957	125	5	the	the	DET
american_scientific_journal-2957	125	6	case	case	NOUN
american_scientific_journal-2957	125	7	r	r	NOUN
american_scientific_journal-2957	125	8	>	>	X
american_scientific_journal-2957	125	9	j	j	PROPN
american_scientific_journal-2957	125	10	,	,	PUNCT
american_scientific_journal-2957	125	11	and	and	CCONJ
american_scientific_journal-2957	125	12	i	i	PRON
american_scientific_journal-2957	125	13	=	=	NOUN
american_scientific_journal-2957	126	1	r	r	NOUN
american_scientific_journal-2957	126	2	j	j	PROPN
american_scientific_journal-2957	126	3	k.	k.	PROPN
american_scientific_journal-2957	127	1	but	but	CCONJ
american_scientific_journal-2957	127	2	i	i	PRON
american_scientific_journal-2957	127	3	≥	≥	VERB
american_scientific_journal-2957	127	4	0	0	NUM
american_scientific_journal-2957	127	5	,	,	PUNCT
american_scientific_journal-2957	127	6	i.e.	i.e.	X
american_scientific_journal-2957	127	7	k	k	X
american_scientific_journal-2957	127	8	≤	≤	NUM
american_scientific_journal-2957	127	9	r	r	NOUN
american_scientific_journal-2957	127	10	j	j	NOUN
american_scientific_journal-2957	127	11	we	we	PRON
american_scientific_journal-2957	127	12	obtain	obtain	VERB
american_scientific_journal-2957	127	13	(	(	PUNCT
american_scientific_journal-2957	127	14	)	)	PUNCT
american_scientific_journal-2957	127	15	(	(	PUNCT
american_scientific_journal-2957	127	16	)	)	PUNCT
american_scientific_journal-2957	127	17	,	,	PUNCT
american_scientific_journal-2957	127	18	2	2	NUM
american_scientific_journal-2957	127	19	1	1	NUM
american_scientific_journal-2957	127	20	0	0	NUM
american_scientific_journal-2957	127	21	1	1	NUM
american_scientific_journal-2957	127	22	!	!	PUNCT
american_scientific_journal-2957	127	23	(	(	PUNCT
american_scientific_journal-2957	127	24	)	)	PUNCT
american_scientific_journal-2957	127	25	1	1	NUM
american_scientific_journal-2957	127	26	1	1	NUM
american_scientific_journal-2957	127	27	0	0	NUM
american_scientific_journal-2957	127	28	!	!	PUNCT
american_scientific_journal-2957	128	1	r	r	NOUN
american_scientific_journal-2957	129	1	j	j	PROPN
american_scientific_journal-2957	129	2	r	r	NOUN
american_scientific_journal-2957	129	3	j	j	PROPN
american_scientific_journal-2957	129	4	kr	kr	PROPN
american_scientific_journal-2957	129	5	m	m	PROPN
american_scientific_journal-2957	129	6	j	j	PROPN
american_scientific_journal-2957	130	1	r	r	NOUN
american_scientific_journal-2957	130	2	k	k	PROPN
american_scientific_journal-2957	130	3	m	m	PROPN
american_scientific_journal-2957	130	4	k	k	PROPN
american_scientific_journal-2957	130	5	mrd	mrd	PROPN
american_scientific_journal-2957	130	6	t	t	PROPN
american_scientific_journal-2957	130	7	q	q	PROPN
american_scientific_journal-2957	130	8	k	k	PROPN
american_scientific_journal-2957	130	9	r	r	X
american_scientific_journal-2957	130	10	j	j	PROPN
american_scientific_journal-2957	130	11	kj	kj	PROPN
american_scientific_journal-2957	130	12	h	h	PROPN
american_scientific_journal-2957	131	1	−	−	PROPN
american_scientific_journal-2957	131	2	−	−	PROPN
american_scientific_journal-2957	132	1	+	+	CCONJ
american_scientific_journal-2957	132	2	=	=	PUNCT
american_scientific_journal-2957	133	1	−	−	DET
american_scientific_journal-2957	133	2	+	+	NOUN
american_scientific_journal-2957	133	3			NOUN
american_scientific_journal-2957	133	4			NOUN
american_scientific_journal-2957	133	5			PUNCT
american_scientific_journal-2957	134	1	=	=	PUNCT
american_scientific_journal-2957	134	2	−	−	NOUN
american_scientific_journal-2957	134	3	−	−	NUM
american_scientific_journal-2957	135	1	=	=	NOUN
american_scientific_journal-2957	135	2			NOUN
american_scientific_journal-2957	135	3			NOUN
american_scientific_journal-2957	136	1	−	−	NUM
american_scientific_journal-2957	136	2	−	−	NOUN
american_scientific_journal-2957	136	3			NOUN
american_scientific_journal-2957	136	4			PUNCT
american_scientific_journal-2957	136	5	∑	∑	PUNCT
american_scientific_journal-2957	136	6	(	(	PUNCT
american_scientific_journal-2957	136	7	5	5	NUM
american_scientific_journal-2957	136	8	)	)	PUNCT
american_scientific_journal-2957	136	9	by	by	ADP
american_scientific_journal-2957	136	10	the	the	DET
american_scientific_journal-2957	136	11	result	result	NOUN
american_scientific_journal-2957	136	12	(	(	PUNCT
american_scientific_journal-2957	136	13	i	i	NOUN
american_scientific_journal-2957	136	14	)	)	PUNCT
american_scientific_journal-2957	136	15	of	of	ADP
american_scientific_journal-2957	136	16	the	the	DET
american_scientific_journal-2957	136	17	lemma	lemma	PROPN
american_scientific_journal-2957	136	18	.	.	PUNCT
american_scientific_journal-2957	137	1	it	it	PRON
american_scientific_journal-2957	137	2	is	be	AUX
american_scientific_journal-2957	137	3	direct	direct	ADJ
american_scientific_journal-2957	137	4	to	to	PART
american_scientific_journal-2957	137	5	see	see	VERB
american_scientific_journal-2957	137	6	that	that	PRON
american_scientific_journal-2957	137	7	,	,	PUNCT
american_scientific_journal-2957	137	8	2	2	NUM
american_scientific_journal-2957	137	9	2	2	NUM
american_scientific_journal-2957	137	10	(	(	PUNCT
american_scientific_journal-2957	137	11	)	)	PUNCT
american_scientific_journal-2957	138	1	0,r	0,r	NUM
american_scientific_journal-2957	139	1	m	m	PROPN
american_scientific_journal-2957	139	2	jd	jd	PROPN
american_scientific_journal-2957	139	3	t	t	PROPN
american_scientific_journal-2957	140	1	q+	q+	ADV
american_scientific_journal-2957	140	2	=	=	PUNCT
american_scientific_journal-2957	140	3	at	at	ADP
american_scientific_journal-2957	140	4	q	q	NOUN
american_scientific_journal-2957	140	5	=	=	NOUN
american_scientific_journal-2957	140	6	0	0	PROPN
american_scientific_journal-2957	140	7	.	.	PUNCT
american_scientific_journal-2957	141	1	(	(	PUNCT
american_scientific_journal-2957	141	2	6	6	NUM
american_scientific_journal-2957	141	3	)	)	PUNCT
american_scientific_journal-2957	141	4	from	from	ADP
american_scientific_journal-2957	141	5	the	the	DET
american_scientific_journal-2957	141	6	foregoing	forego	VERB
american_scientific_journal-2957	141	7	observations	observation	NOUN
american_scientific_journal-2957	141	8	(	(	PUNCT
american_scientific_journal-2957	141	9	2	2	NUM
american_scientific_journal-2957	141	10	)	)	PUNCT
american_scientific_journal-2957	141	11	,	,	PUNCT
american_scientific_journal-2957	141	12	yields	yield	VERB
american_scientific_journal-2957	141	13	american	american	PROPN
american_scientific_journal-2957	141	14	scientific	scientific	PROPN
american_scientific_journal-2957	141	15	research	research	PROPN
american_scientific_journal-2957	141	16	journal	journal	NOUN
american_scientific_journal-2957	141	17	for	for	ADP
american_scientific_journal-2957	141	18	engineering	engineering	NOUN
american_scientific_journal-2957	141	19	,	,	PUNCT
american_scientific_journal-2957	141	20	technology	technology	NOUN
american_scientific_journal-2957	141	21	,	,	PUNCT
american_scientific_journal-2957	141	22	and	and	CCONJ
american_scientific_journal-2957	141	23	sciences	science	NOUN
american_scientific_journal-2957	141	24	(	(	PUNCT
american_scientific_journal-2957	141	25	asrjets	asrjet	NOUN
american_scientific_journal-2957	141	26	)	)	PUNCT
american_scientific_journal-2957	141	27	(	(	PUNCT
american_scientific_journal-2957	141	28	2017	2017	NUM
american_scientific_journal-2957	141	29	)	)	PUNCT
american_scientific_journal-2957	141	30	volume	volume	NOUN
american_scientific_journal-2957	141	31	32	32	NUM
american_scientific_journal-2957	141	32	,	,	PUNCT
american_scientific_journal-2957	141	33	no	no	DET
american_scientific_journal-2957	141	34	1	1	NUM
american_scientific_journal-2957	141	35	,	,	PUNCT
american_scientific_journal-2957	141	36	pp	pp	ADV
american_scientific_journal-2957	141	37	41	41	NUM
american_scientific_journal-2957	141	38	-	-	SYM
american_scientific_journal-2957	141	39	48	48	NUM
american_scientific_journal-2957	141	40	44	44	NUM
american_scientific_journal-2957	141	41	(	(	PUNCT
american_scientific_journal-2957	141	42	)	)	PUNCT
american_scientific_journal-2957	141	43	(	(	PUNCT
american_scientific_journal-2957	141	44	)	)	PUNCT
american_scientific_journal-2957	141	45	(	(	PUNCT
american_scientific_journal-2957	141	46	)	)	PUNCT
american_scientific_journal-2957	141	47	(	(	PUNCT
american_scientific_journal-2957	141	48	)	)	PUNCT
american_scientific_journal-2957	141	49	,	,	PUNCT
american_scientific_journal-2957	141	50	1	1	NUM
american_scientific_journal-2957	141	51	,	,	PUNCT
american_scientific_journal-2957	141	52	2	2	NUM
american_scientific_journal-2957	141	53	,	,	PUNCT
american_scientific_journal-2957	141	54	...	...	PUNCT
american_scientific_journal-2957	141	55	,	,	PUNCT
american_scientific_journal-2957	141	56	1	1	NUM
american_scientific_journal-2957	141	57	,	,	PUNCT
american_scientific_journal-2957	141	58	0,1	0,1	NUM
american_scientific_journal-2957	141	59	,	,	PUNCT
american_scientific_journal-2957	141	60	...	...	PUNCT
american_scientific_journal-2957	141	61	,	,	PUNCT
american_scientific_journal-2957	141	62	,	,	PUNCT
american_scientific_journal-2957	141	63	r	r	NOUN
american_scientific_journal-2957	141	64	r	r	NOUN
american_scientific_journal-2957	141	65	i	i	PRON
american_scientific_journal-2957	141	66	is	be	AUX
american_scientific_journal-2957	141	67	x	x	X
american_scientific_journal-2957	141	68	f	f	NOUN
american_scientific_journal-2957	141	69	x	x	SYM
american_scientific_journal-2957	142	1	r	r	VERB
american_scientific_journal-2957	142	2	m	m	NOUN
american_scientific_journal-2957	142	3	i	i	NOUN
american_scientific_journal-2957	142	4	n=	n=	ADV
american_scientific_journal-2957	142	5	=	=	PUNCT
american_scientific_journal-2957	143	1	−	−	NOUN
american_scientific_journal-2957	143	2	=	=	PUNCT
american_scientific_journal-2957	143	3	from	from	ADP
american_scientific_journal-2957	143	4	the	the	DET
american_scientific_journal-2957	143	5	definition	definition	NOUN
american_scientific_journal-2957	143	6	of	of	ADP
american_scientific_journal-2957	143	7	s(x	s(x	PROPN
american_scientific_journal-2957	143	8	)	)	PUNCT
american_scientific_journal-2957	143	9	in	in	ADP
american_scientific_journal-2957	143	10	1	1	NUM
american_scientific_journal-2957	143	11	[	[	PUNCT
american_scientific_journal-2957	143	12	,	,	PUNCT
american_scientific_journal-2957	143	13	]	]	PUNCT
american_scientific_journal-2957	143	14	.i	.i	NOUN
american_scientific_journal-2957	144	1	ix	ix	ADJ
american_scientific_journal-2957	144	2	x	x	X
american_scientific_journal-2957	145	1	+	+	CCONJ
american_scientific_journal-2957	145	2	now	now	ADV
american_scientific_journal-2957	145	3	we	we	PRON
american_scientific_journal-2957	145	4	claim	claim	VERB
american_scientific_journal-2957	145	5	,	,	PUNCT
american_scientific_journal-2957	145	6	2	2	NUM
american_scientific_journal-2957	145	7	1	1	NUM
american_scientific_journal-2957	145	8	(	(	PUNCT
american_scientific_journal-2957	145	9	)	)	PUNCT
american_scientific_journal-2957	145	10	0,r	0,r	NUM
american_scientific_journal-2957	146	1	m	m	PROPN
american_scientific_journal-2957	146	2	jd	jd	PROPN
american_scientific_journal-2957	146	3	t	t	PROPN
american_scientific_journal-2957	147	1	q+	q+	ADV
american_scientific_journal-2957	147	2	=	=	PUNCT
american_scientific_journal-2957	147	3	at	at	ADP
american_scientific_journal-2957	147	4	q	q	NOUN
american_scientific_journal-2957	147	5	=	=	NOUN
american_scientific_journal-2957	147	6	1	1	X
american_scientific_journal-2957	147	7	.	.	PUNCT
american_scientific_journal-2957	147	8	(	(	PUNCT
american_scientific_journal-2957	147	9	7	7	X
american_scientific_journal-2957	147	10	)	)	PUNCT
american_scientific_journal-2957	147	11	we	we	PRON
american_scientific_journal-2957	147	12	can	can	AUX
american_scientific_journal-2957	147	13	write	write	VERB
american_scientific_journal-2957	147	14	,	,	PUNCT
american_scientific_journal-2957	147	15	2	2	NUM
american_scientific_journal-2957	147	16	1	1	NUM
american_scientific_journal-2957	147	17	0	0	NUM
american_scientific_journal-2957	147	18	11	11	NUM
american_scientific_journal-2957	147	19	(	(	PUNCT
american_scientific_journal-2957	147	20	)	)	PUNCT
american_scientific_journal-2957	147	21	(	(	PUNCT
american_scientific_journal-2957	147	22	1	1	NUM
american_scientific_journal-2957	147	23	)	)	PUNCT
american_scientific_journal-2957	147	24	.	.	PUNCT
american_scientific_journal-2957	147	25	!	!	PUNCT
american_scientific_journal-2957	148	1	m	m	PROPN
american_scientific_journal-2957	149	1	j	j	PROPN
american_scientific_journal-2957	149	2	r	r	NOUN
american_scientific_journal-2957	149	3	j	j	PROPN
american_scientific_journal-2957	150	1	k	k	PROPN
american_scientific_journal-2957	150	2	m	m	VERB
american_scientific_journal-2957	150	3	m	m	VERB
american_scientific_journal-2957	150	4	j	j	PROPN
american_scientific_journal-2957	151	1	k	k	PROPN
american_scientific_journal-2957	151	2	m	m	VERB
american_scientific_journal-2957	151	3	k	k	PROPN
american_scientific_journal-2957	152	1	d	d	X
american_scientific_journal-2957	152	2	t	t	PROPN
american_scientific_journal-2957	152	3	q	q	NOUN
american_scientific_journal-2957	152	4	q	q	X
american_scientific_journal-2957	152	5	q	q	X
american_scientific_journal-2957	152	6	kj	kj	NOUN
american_scientific_journal-2957	152	7	−	−	PROPN
american_scientific_journal-2957	153	1	+	+	CCONJ
american_scientific_journal-2957	153	2	+	+	PUNCT
american_scientific_journal-2957	153	3	=	=	X
american_scientific_journal-2957	153	4	−	−	X
american_scientific_journal-2957	153	5	+	+	NOUN
american_scientific_journal-2957	153	6			NOUN
american_scientific_journal-2957	153	7			PUNCT
american_scientific_journal-2957	154	1	=	=	PUNCT
american_scientific_journal-2957	154	2	−	−	NOUN
american_scientific_journal-2957	154	3			VERB
american_scientific_journal-2957	154	4			PRON
american_scientific_journal-2957	154	5			PUNCT
american_scientific_journal-2957	154	6	∑	∑	PUNCT
american_scientific_journal-2957	154	7	using	use	VERB
american_scientific_journal-2957	154	8	leibnitz	leibnitz	PROPN
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american_scientific_journal-2957	154	10	formula	formula	NOUN
american_scientific_journal-2957	154	11	for	for	ADP
american_scientific_journal-2957	154	12	successive	successive	ADJ
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american_scientific_journal-2957	154	14	,	,	PUNCT
american_scientific_journal-2957	154	15	we	we	PRON
american_scientific_journal-2957	154	16	get	get	VERB
american_scientific_journal-2957	154	17	,	,	PUNCT
american_scientific_journal-2957	154	18	2	2	NUM
american_scientific_journal-2957	154	19	1	1	NUM
american_scientific_journal-2957	154	20	0	0	NUM
american_scientific_journal-2957	154	21	0	0	NUM
american_scientific_journal-2957	154	22	11	11	NUM
american_scientific_journal-2957	154	23	(	(	PUNCT
american_scientific_journal-2957	154	24	)	)	PUNCT
american_scientific_journal-2957	154	25	(	(	PUNCT
american_scientific_journal-2957	154	26	1	1	NUM
american_scientific_journal-2957	154	27	)	)	PUNCT
american_scientific_journal-2957	154	28	,	,	PUNCT
american_scientific_journal-2957	154	29	!	!	PUNCT
american_scientific_journal-2957	155	1	m	m	PROPN
american_scientific_journal-2957	156	1	j	j	NOUN
american_scientific_journal-2957	156	2	r	r	NOUN
american_scientific_journal-2957	156	3	r	r	NOUN
american_scientific_journal-2957	156	4	r	r	NOUN
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american_scientific_journal-2957	201	17	(	(	PUNCT
american_scientific_journal-2957	201	18	2017	2017	NUM
american_scientific_journal-2957	201	19	)	)	PUNCT
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american_scientific_journal-2957	201	22	,	,	PUNCT
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american_scientific_journal-2957	201	25	,	,	PUNCT
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american_scientific_journal-2957	201	30	45	45	NUM
american_scientific_journal-2957	201	31	hence	hence	ADV
american_scientific_journal-2957	201	32	we	we	PRON
american_scientific_journal-2957	201	33	get	get	VERB
american_scientific_journal-2957	201	34	1	1	NUM
american_scientific_journal-2957	201	35	(	(	PUNCT
american_scientific_journal-2957	201	36	)	)	PUNCT
american_scientific_journal-2957	202	1	[	[	X
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american_scientific_journal-2957	202	3	x	x	SYM
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american_scientific_journal-2957	202	5	−∈	−∈	PROPN
american_scientific_journal-2957	202	6	now	now	ADV
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american_scientific_journal-2957	202	8	proceed	proceed	VERB
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american_scientific_journal-2957	202	12	recurrence	recurrence	NOUN
american_scientific_journal-2957	202	13	relation	relation	NOUN
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american_scientific_journal-2957	202	15	explicit	explicit	ADJ
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american_scientific_journal-2957	202	18	is	be	AUX
american_scientific_journal-2957	202	19	,	,	PUNCT
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american_scientific_journal-2957	202	25	1	1	NUM
american_scientific_journal-2957	202	26	(	(	PUNCT
american_scientific_journal-2957	202	27	)	)	PUNCT
american_scientific_journal-2957	203	1	[	[	X
american_scientific_journal-2957	203	2	0,1].ms	0,1].ms	NUM
american_scientific_journal-2957	203	3	x	x	SYM
american_scientific_journal-2957	203	4	c	c	NOUN
american_scientific_journal-2957	203	5	−∈	−∈	PROPN
american_scientific_journal-2957	203	6	the	the	DET
american_scientific_journal-2957	203	7	m	m	PROPN
american_scientific_journal-2957	203	8	-	-	PUNCT
american_scientific_journal-2957	203	9	th	th	VERB
american_scientific_journal-2957	203	10	differential	differential	ADJ
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american_scientific_journal-2957	203	13	,	,	PUNCT
american_scientific_journal-2957	203	14	2	2	NUM
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american_scientific_journal-2957	203	16	(	(	PUNCT
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american_scientific_journal-2957	203	19	jt	jt	PROPN
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american_scientific_journal-2957	203	22	,	,	PUNCT
american_scientific_journal-2957	203	23	2	2	NUM
american_scientific_journal-2957	203	24	2	2	NUM
american_scientific_journal-2957	203	25	(	(	PUNCT
american_scientific_journal-2957	203	26	)	)	PUNCT
american_scientific_journal-2957	203	27	m	m	VERB
american_scientific_journal-2957	203	28	jt	jt	PROPN
american_scientific_journal-2957	203	29	q+	q+	PUNCT
american_scientific_journal-2957	203	30	at	at	ADP
american_scientific_journal-2957	203	31	q	q	PROPN
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american_scientific_journal-2957	203	33	0	0	NUM
american_scientific_journal-2957	203	34	,	,	PUNCT
american_scientific_journal-2957	203	35	j	j	PROPN
american_scientific_journal-2957	203	36	=	=	PUNCT
american_scientific_journal-2957	203	37	0,1,	0,1,	NOUN
american_scientific_journal-2957	203	38	…	…	NUM
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american_scientific_journal-2957	203	40	,	,	PUNCT
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american_scientific_journal-2957	203	44	:	:	PUNCT
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american_scientific_journal-2957	203	46	2	2	NUM
american_scientific_journal-2957	203	47	1	1	NUM
american_scientific_journal-2957	203	48	0	0	NUM
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american_scientific_journal-2957	203	50	11	11	NUM
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american_scientific_journal-2957	203	55	)	)	PUNCT
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american_scientific_journal-2957	203	57	!	!	PUNCT
american_scientific_journal-2957	204	1	m	m	VERB
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american_scientific_journal-2957	205	2	m	m	VERB
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american_scientific_journal-2957	206	1	i	i	NOUN
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american_scientific_journal-2957	208	3	j	j	VERB
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american_scientific_journal-2957	209	2	i	i	PRON
american_scientific_journal-2957	209	3	m	m	VERB
american_scientific_journal-2957	209	4	k	k	VERB
american_scientific_journal-2957	209	5	m	m	VERB
american_scientific_journal-2957	209	6	d	d	NOUN
american_scientific_journal-2957	209	7	t	t	NOUN
american_scientific_journal-2957	209	8	q	q	PROPN
american_scientific_journal-2957	210	1	d	d	X
american_scientific_journal-2957	210	2	q	q	X
american_scientific_journal-2957	210	3	k	k	X
american_scientific_journal-2957	210	4	ij	ij	INTJ
american_scientific_journal-2957	210	5	−	−	PROPN
american_scientific_journal-2957	211	1	+	+	CCONJ
american_scientific_journal-2957	211	2	+	+	PUNCT
american_scientific_journal-2957	211	3	+	+	X
american_scientific_journal-2957	211	4	=	=	SYM
american_scientific_journal-2957	211	5	=	=	SYM
american_scientific_journal-2957	212	1	−	−	PRON
american_scientific_journal-2957	213	1	+	+	NOUN
american_scientific_journal-2957	213	2			NOUN
american_scientific_journal-2957	213	3			X
american_scientific_journal-2957	213	4			PROPN
american_scientific_journal-2957	213	5			PUNCT
american_scientific_journal-2957	214	1	=	=	PUNCT
american_scientific_journal-2957	214	2	−	−	ADJ
american_scientific_journal-2957	214	3			NOUN
american_scientific_journal-2957	214	4			NOUN
american_scientific_journal-2957	214	5			VERB
american_scientific_journal-2957	214	6			NOUN
american_scientific_journal-2957	214	7			PUNCT
american_scientific_journal-2957	214	8			NOUN
american_scientific_journal-2957	214	9			PUNCT
american_scientific_journal-2957	214	10	∑	∑	PUNCT
american_scientific_journal-2957	214	11	∑	∑	PROPN
american_scientific_journal-2957	214	12	1	1	NUM
american_scientific_journal-2957	214	13	,	,	PUNCT
american_scientific_journal-2957	214	14	mh	mh	PROPN
american_scientific_journal-2957	214	15	=	=	PUNCT
american_scientific_journal-2957	214	16	for	for	ADP
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american_scientific_journal-2957	214	18	=	=	SYM
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american_scientific_journal-2957	214	20	(	(	PUNCT
american_scientific_journal-2957	214	21	9	9	NUM
american_scientific_journal-2957	214	22	)	)	PUNCT
american_scientific_journal-2957	214	23	and	and	CCONJ
american_scientific_journal-2957	214	24	,	,	PUNCT
american_scientific_journal-2957	214	25	2	2	NUM
american_scientific_journal-2957	214	26	2	2	NUM
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american_scientific_journal-2957	215	1	jt	jt	PROPN
american_scientific_journal-2957	216	1	q+	q+	ADV
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american_scientific_journal-2957	216	3	at	at	ADP
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american_scientific_journal-2957	216	6	0	0	PROPN
american_scientific_journal-2957	216	7	.	.	PUNCT
american_scientific_journal-2957	217	1	(	(	PUNCT
american_scientific_journal-2957	217	2	10	10	NUM
american_scientific_journal-2957	217	3	)	)	PUNCT
american_scientific_journal-2957	217	4	the	the	DET
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american_scientific_journal-2957	217	8	at	at	ADP
american_scientific_journal-2957	217	9	q=1	q=1	PROPN
american_scientific_journal-2957	217	10	,	,	PUNCT
american_scientific_journal-2957	217	11	i.e.	i.e.	X
american_scientific_journal-2957	217	12	(	(	PUNCT
american_scientific_journal-2957	217	13	)	)	PUNCT
american_scientific_journal-2957	217	14	,	,	PUNCT
american_scientific_journal-2957	217	15	2	2	NUM
american_scientific_journal-2957	217	16	1	1	NUM
american_scientific_journal-2957	217	17	0	0	NUM
american_scientific_journal-2957	217	18	11	11	NUM
american_scientific_journal-2957	217	19	!	!	PUNCT
american_scientific_journal-2957	218	1	(	(	PUNCT
american_scientific_journal-2957	218	2	)	)	PUNCT
american_scientific_journal-2957	218	3	!	!	PUNCT
american_scientific_journal-2957	219	1	m	m	VERB
american_scientific_journal-2957	220	1	m	m	VERB
american_scientific_journal-2957	220	2	j	j	PROPN
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american_scientific_journal-2957	224	3			NOUN
american_scientific_journal-2957	224	4			PUNCT
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american_scientific_journal-2957	225	2			NOUN
american_scientific_journal-2957	225	3			VERB
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american_scientific_journal-2957	225	5			PUNCT
american_scientific_journal-2957	225	6	∑	∑	PUNCT
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american_scientific_journal-2957	225	10	(	(	PUNCT
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american_scientific_journal-2957	226	1	,	,	PUNCT
american_scientific_journal-2957	226	2	1	1	X
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american_scientific_journal-2957	227	1	(	(	PUNCT
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american_scientific_journal-2957	227	3	!	!	PUNCT
american_scientific_journal-2957	228	1	m	m	VERB
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american_scientific_journal-2957	228	5	at	at	ADP
american_scientific_journal-2957	228	6	q	q	PROPN
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american_scientific_journal-2957	228	9	j	j	PROPN
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american_scientific_journal-2957	228	11	−	−	PROPN
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american_scientific_journal-2957	230	2	=	=	SYM
american_scientific_journal-2957	230	3	−	−	PROPN
american_scientific_journal-2957	230	4	(	(	PUNCT
american_scientific_journal-2957	230	5	11	11	NUM
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american_scientific_journal-2957	230	7	by	by	ADP
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american_scientific_journal-2957	230	9	(	(	PUNCT
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american_scientific_journal-2957	230	12	,	,	PUNCT
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american_scientific_journal-2957	230	14	at	at	ADP
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american_scientific_journal-2957	230	17	1	1	X
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american_scientific_journal-2957	230	22	)	)	PUNCT
american_scientific_journal-2957	230	23	1	1	NUM
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american_scientific_journal-2957	230	25	,	,	PUNCT
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american_scientific_journal-2957	231	3	m	m	VERB
american_scientific_journal-2957	232	1	j	j	PROPN
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american_scientific_journal-2957	232	11	j	j	PROPN
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american_scientific_journal-2957	232	14	m	m	VERB
american_scientific_journal-2957	232	15	k	k	NOUN
american_scientific_journal-2957	232	16	m	m	VERB
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american_scientific_journal-2957	232	23	q	q	PROPN
american_scientific_journal-2957	233	1	d	d	X
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american_scientific_journal-2957	234	2	lj	lj	INTJ
american_scientific_journal-2957	235	1	−	−	PROPN
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american_scientific_journal-2957	236	2	−	−	PROPN
american_scientific_journal-2957	237	1	+	+	CCONJ
american_scientific_journal-2957	237	2	+	+	PUNCT
american_scientific_journal-2957	237	3	+	+	X
american_scientific_journal-2957	237	4	=	=	SYM
american_scientific_journal-2957	237	5	=	=	SYM
american_scientific_journal-2957	238	1	+	+	CCONJ
american_scientific_journal-2957	238	2	−	−	VERB
american_scientific_journal-2957	238	3			NOUN
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american_scientific_journal-2957	239	1	=	=	PUNCT
american_scientific_journal-2957	240	1	−	−	PUNCT
american_scientific_journal-2957	240	2	−	−	ADV
american_scientific_journal-2957	240	3			NOUN
american_scientific_journal-2957	240	4			NOUN
american_scientific_journal-2957	240	5			VERB
american_scientific_journal-2957	241	1	−	−	ADJ
american_scientific_journal-2957	241	2	−	−	NOUN
american_scientific_journal-2957	241	3	−	−	NOUN
american_scientific_journal-2957	241	4			NOUN
american_scientific_journal-2957	241	5			PUNCT
american_scientific_journal-2957	241	6			NOUN
american_scientific_journal-2957	241	7			PUNCT
american_scientific_journal-2957	242	1	∑	∑	PUNCT
american_scientific_journal-2957	242	2	∑	∑	PUNCT
american_scientific_journal-2957	242	3	the	the	DET
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american_scientific_journal-2957	242	5	(	(	PUNCT
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american_scientific_journal-2957	242	7	jd	jd	ADP
american_scientific_journal-2957	242	8	q	q	PROPN
american_scientific_journal-2957	242	9	−	−	PROPN
american_scientific_journal-2957	242	10	is	be	AUX
american_scientific_journal-2957	242	11	not	not	PART
american_scientific_journal-2957	242	12	zero	zero	NUM
american_scientific_journal-2957	242	13	only	only	ADV
american_scientific_journal-2957	242	14	if	if	SCONJ
american_scientific_journal-2957	242	15	l	l	NOUN
american_scientific_journal-2957	242	16	=	=	SYM
american_scientific_journal-2957	242	17	j	j	NOUN
american_scientific_journal-2957	242	18	;	;	PUNCT
american_scientific_journal-2957	242	19	hence	hence	ADV
american_scientific_journal-2957	242	20	(	(	PUNCT
american_scientific_journal-2957	242	21	)	)	PUNCT
american_scientific_journal-2957	242	22	1	1	NUM
american_scientific_journal-2957	242	23	,	,	PUNCT
american_scientific_journal-2957	242	24	2	2	NUM
american_scientific_journal-2957	242	25	2	2	NUM
american_scientific_journal-2957	242	26	0	0	NUM
american_scientific_journal-2957	242	27	(	(	PUNCT
american_scientific_journal-2957	242	28	2	2	NUM
american_scientific_journal-2957	242	29	)	)	PUNCT
american_scientific_journal-2957	242	30	!	!	PUNCT
american_scientific_journal-2957	243	1	(	(	PUNCT
american_scientific_journal-2957	243	2	)	)	PUNCT
american_scientific_journal-2957	243	3	1	1	NUM
american_scientific_journal-2957	243	4	,	,	PUNCT
american_scientific_journal-2957	243	5	1	1	NUM
american_scientific_journal-2957	243	6	!	!	PUNCT
american_scientific_journal-2957	243	7	(	(	PUNCT
american_scientific_journal-2957	243	8	)	)	PUNCT
american_scientific_journal-2957	243	9	!	!	PUNCT
american_scientific_journal-2957	244	1	m	m	PROPN
american_scientific_journal-2957	245	1	j	j	PROPN
american_scientific_journal-2957	245	2	km	km	PROPN
american_scientific_journal-2957	245	3	m	m	VERB
american_scientific_journal-2957	245	4	j	j	PROPN
american_scientific_journal-2957	245	5	m	m	VERB
american_scientific_journal-2957	245	6	k	k	NOUN
american_scientific_journal-2957	245	7	m	m	VERB
american_scientific_journal-2957	245	8	k	k	NOUN
american_scientific_journal-2957	245	9	mm	mm	INTJ
american_scientific_journal-2957	245	10	jd	jd	PROPN
american_scientific_journal-2957	245	11	t	t	PROPN
american_scientific_journal-2957	245	12	q	q	PROPN
american_scientific_journal-2957	245	13	k	k	PROPN
american_scientific_journal-2957	245	14	m	m	VERB
american_scientific_journal-2957	245	15	j	j	NOUN
american_scientific_journal-2957	245	16	kj	kj	PROPN
american_scientific_journal-2957	245	17	m	m	PROPN
american_scientific_journal-2957	245	18	j	j	PROPN
american_scientific_journal-2957	245	19	h	h	NOUN
american_scientific_journal-2957	245	20	−	−	PROPN
american_scientific_journal-2957	245	21	−	−	PROPN
american_scientific_journal-2957	246	1	+	+	CCONJ
american_scientific_journal-2957	247	1	=	=	SYM
american_scientific_journal-2957	247	2	+	+	NOUN
american_scientific_journal-2957	247	3			NOUN
american_scientific_journal-2957	247	4			NOUN
american_scientific_journal-2957	247	5	−	−	NOUN
american_scientific_journal-2957	247	6	=	=	PUNCT
american_scientific_journal-2957	247	7	−	−	NOUN
american_scientific_journal-2957	247	8			NOUN
american_scientific_journal-2957	247	9			X
american_scientific_journal-2957	248	1	−	−	NUM
american_scientific_journal-2957	248	2	−	−	NOUN
american_scientific_journal-2957	248	3	−−	−−	NOUN
american_scientific_journal-2957	248	4			NOUN
american_scientific_journal-2957	248	5			ADJ
american_scientific_journal-2957	248	6			PUNCT
american_scientific_journal-2957	249	1	∑	∑	PUNCT
american_scientific_journal-2957	249	2	1	1	NUM
american_scientific_journal-2957	249	3	(	(	PUNCT
american_scientific_journal-2957	249	4	1	1	NUM
american_scientific_journal-2957	249	5	)	)	PUNCT
american_scientific_journal-2957	249	6	(	(	PUNCT
american_scientific_journal-2957	249	7	2	2	NUM
american_scientific_journal-2957	249	8	)	)	PUNCT
american_scientific_journal-2957	249	9	!	!	PUNCT
american_scientific_journal-2957	249	10	,	,	PUNCT
american_scientific_journal-2957	249	11	!	!	PUNCT
american_scientific_journal-2957	250	1	(	(	PUNCT
american_scientific_journal-2957	250	2	)	)	PUNCT
american_scientific_journal-2957	250	3	!	!	PUNCT
american_scientific_journal-2957	251	1	m	m	PROPN
american_scientific_journal-2957	252	1	j	j	PROPN
american_scientific_journal-2957	252	2	m	m	VERB
american_scientific_journal-2957	252	3	m	m	VERB
american_scientific_journal-2957	252	4	j	j	PROPN
american_scientific_journal-2957	252	5	j	j	PROPN
american_scientific_journal-2957	252	6	m	m	PROPN
american_scientific_journal-2957	252	7	j	j	PROPN
american_scientific_journal-2957	252	8	h	h	PROPN
american_scientific_journal-2957	252	9	−	−	PROPN
american_scientific_journal-2957	252	10	−−	−−	NOUN
american_scientific_journal-2957	252	11	−	−	NOUN
american_scientific_journal-2957	252	12	=	=	SYM
american_scientific_journal-2957	252	13	−	−	PROPN
american_scientific_journal-2957	252	14	(	(	PUNCT
american_scientific_journal-2957	252	15	12	12	NUM
american_scientific_journal-2957	252	16	)	)	PUNCT
american_scientific_journal-2957	252	17	by	by	ADP
american_scientific_journal-2957	252	18	lemma	lemma	PROPN
american_scientific_journal-2957	252	19	(	(	PUNCT
american_scientific_journal-2957	252	20	iv	iv	NOUN
american_scientific_journal-2957	252	21	)	)	PUNCT
american_scientific_journal-2957	252	22	.	.	PUNCT
american_scientific_journal-2957	253	1	american	american	PROPN
american_scientific_journal-2957	253	2	scientific	scientific	ADJ
american_scientific_journal-2957	253	3	research	research	PROPN
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american_scientific_journal-2957	253	5	for	for	ADP
american_scientific_journal-2957	253	6	engineering	engineering	NOUN
american_scientific_journal-2957	253	7	,	,	PUNCT
american_scientific_journal-2957	253	8	technology	technology	NOUN
american_scientific_journal-2957	253	9	,	,	PUNCT
american_scientific_journal-2957	253	10	and	and	CCONJ
american_scientific_journal-2957	253	11	sciences	science	NOUN
american_scientific_journal-2957	253	12	(	(	PUNCT
american_scientific_journal-2957	253	13	asrjets	asrjet	NOUN
american_scientific_journal-2957	253	14	)	)	PUNCT
american_scientific_journal-2957	253	15	(	(	PUNCT
american_scientific_journal-2957	253	16	2017	2017	NUM
american_scientific_journal-2957	253	17	)	)	PUNCT
american_scientific_journal-2957	253	18	volume	volume	NOUN
american_scientific_journal-2957	253	19	32	32	NUM
american_scientific_journal-2957	253	20	,	,	PUNCT
american_scientific_journal-2957	253	21	no	no	DET
american_scientific_journal-2957	253	22	1	1	NUM
american_scientific_journal-2957	253	23	,	,	PUNCT
american_scientific_journal-2957	253	24	pp	pp	ADV
american_scientific_journal-2957	253	25	41	41	NUM
american_scientific_journal-2957	253	26	-	-	SYM
american_scientific_journal-2957	253	27	48	48	NUM
american_scientific_journal-2957	253	28	46	46	NUM
american_scientific_journal-2957	253	29	thus	thus	ADV
american_scientific_journal-2957	253	30	the	the	DET
american_scientific_journal-2957	253	31	condition	condition	NOUN
american_scientific_journal-2957	253	32	get	get	VERB
american_scientific_journal-2957	253	33	(	(	PUNCT
american_scientific_journal-2957	253	34	)	)	PUNCT
american_scientific_journal-2957	254	1	[	[	X
american_scientific_journal-2957	254	2	0,1],ms	0,1],ms	X
american_scientific_journal-2957	254	3	x	x	PUNCT
american_scientific_journal-2957	254	4	c∈	c∈	NOUN
american_scientific_journal-2957	254	5	that	that	PRON
american_scientific_journal-2957	254	6	is	be	AUX
american_scientific_journal-2957	254	7	(	(	PUNCT
american_scientific_journal-2957	254	8	)	)	PUNCT
american_scientific_journal-2957	254	9	(	(	PUNCT
american_scientific_journal-2957	254	10	)	)	PUNCT
american_scientific_journal-2957	254	11	1	1	NUM
american_scientific_journal-2957	254	12	(	(	PUNCT
american_scientific_journal-2957	254	13	)	)	PUNCT
american_scientific_journal-2957	254	14	(	(	PUNCT
american_scientific_journal-2957	254	15	)	)	PUNCT
american_scientific_journal-2957	254	16	,	,	PUNCT
american_scientific_journal-2957	254	17	1	1	NUM
american_scientific_journal-2957	254	18	,	,	PUNCT
american_scientific_journal-2957	254	19	2,	2,	NUM
american_scientific_journal-2957	254	20	...	...	PUNCT
american_scientific_journal-2957	254	21	,m	,m	PUNCT
american_scientific_journal-2957	254	22	m	m	VERB
american_scientific_journal-2957	254	23	i	i	INTJ
american_scientific_journal-2957	255	1	i	i	PRON
american_scientific_journal-2957	255	2	i	i	PRON
american_scientific_journal-2957	255	3	is	be	AUX
american_scientific_journal-2957	255	4	x	x	X
american_scientific_journal-2957	255	5	s	s	PART
american_scientific_journal-2957	255	6	x	x	X
american_scientific_journal-2957	255	7	i	i	PRON
american_scientific_journal-2957	255	8	n−=	n−=	NOUN
american_scientific_journal-2957	255	9	=	=	PUNCT
american_scientific_journal-2957	255	10	gives	give	VERB
american_scientific_journal-2957	255	11	(	(	PUNCT
american_scientific_journal-2957	255	12	)	)	PUNCT
american_scientific_journal-2957	255	13	1	1	NUM
american_scientific_journal-2957	255	14	(	(	PUNCT
american_scientific_journal-2957	255	15	)	)	PUNCT
american_scientific_journal-2957	255	16	1	1	NUM
american_scientific_journal-2957	255	17	1	1	NUM
american_scientific_journal-2957	255	18	1	1	NUM
american_scientific_journal-2957	255	19	{	{	PUNCT
american_scientific_journal-2957	255	20	(	(	PUNCT
american_scientific_journal-2957	255	21	1	1	NUM
american_scientific_journal-2957	255	22	)	)	PUNCT
american_scientific_journal-2957	255	23	}	}	PUNCT
american_scientific_journal-2957	255	24	!	!	PUNCT
american_scientific_journal-2957	256	1	(	(	PUNCT
american_scientific_journal-2957	256	2	2	2	NUM
american_scientific_journal-2957	256	3	)	)	PUNCT
american_scientific_journal-2957	256	4	!	!	PUNCT
american_scientific_journal-2957	257	1	,	,	PUNCT
american_scientific_journal-2957	257	2	(	(	PUNCT
american_scientific_journal-2957	257	3	2	2	NUM
american_scientific_journal-2957	257	4	)	)	PUNCT
american_scientific_journal-2957	257	5	!	!	PUNCT
american_scientific_journal-2957	257	6	!	!	PUNCT
american_scientific_journal-2957	258	1	(	(	PUNCT
american_scientific_journal-2957	258	2	)	)	PUNCT
american_scientific_journal-2957	258	3	!	!	PUNCT
american_scientific_journal-2957	259	1	j	j	PROPN
american_scientific_journal-2957	260	1	j	j	PROPN
american_scientific_journal-2957	260	2	jm	jm	PROPN
american_scientific_journal-2957	260	3	j	j	PROPN
american_scientific_journal-2957	261	1	i	i	PRON
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american_scientific_journal-2957	263	1	i	i	INTJ
american_scientific_journal-2957	263	2	j	j	PROPN
american_scientific_journal-2957	264	1	f	f	PROPN
american_scientific_journal-2957	264	2	fms	fms	PROPN
american_scientific_journal-2957	264	3	s	s	PART
american_scientific_journal-2957	264	4	m	m	PROPN
american_scientific_journal-2957	264	5	j	j	PROPN
american_scientific_journal-2957	264	6	h	h	PROPN
american_scientific_journal-2957	264	7	m	m	PROPN
american_scientific_journal-2957	264	8	j	j	PROPN
american_scientific_journal-2957	264	9	m	m	PROPN
american_scientific_journal-2957	264	10	j	j	PROPN
american_scientific_journal-2957	265	1	+	+	CCONJ
american_scientific_journal-2957	265	2	−	−	PROPN
american_scientific_journal-2957	266	1	−	−	PROPN
american_scientific_journal-2957	266	2	=	=	SYM
american_scientific_journal-2957	267	1	+	+	NUM
american_scientific_journal-2957	267	2	−	−	PROPN
american_scientific_journal-2957	267	3	−	−	PROPN
american_scientific_journal-2957	267	4	=	=	SYM
american_scientific_journal-2957	268	1	−	−	PROPN
american_scientific_journal-2957	268	2	−∑	−∑	PROPN
american_scientific_journal-2957	268	3	,	,	PUNCT
american_scientific_journal-2957	268	4	m	m	VERB
american_scientific_journal-2957	268	5	if=	if=	PROPN
american_scientific_journal-2957	268	6	(	(	PUNCT
american_scientific_journal-2957	268	7	say	say	INTJ
american_scientific_journal-2957	268	8	)	)	PUNCT
american_scientific_journal-2957	268	9	(	(	PUNCT
american_scientific_journal-2957	268	10	13	13	NUM
american_scientific_journal-2957	268	11	)	)	PUNCT
american_scientific_journal-2957	268	12	using	use	VERB
american_scientific_journal-2957	268	13	the	the	DET
american_scientific_journal-2957	268	14	boundary	boundary	ADJ
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american_scientific_journal-2957	268	16	0	0	NUM
american_scientific_journal-2957	268	17	0	0	NUM
american_scientific_journal-2957	268	18	,	,	PUNCT
american_scientific_journal-2957	268	19	s	s	VERB
american_scientific_journal-2957	268	20	f=	f=	NOUN
american_scientific_journal-2957	268	21	we	we	PRON
american_scientific_journal-2957	268	22	obtain	obtain	VERB
american_scientific_journal-2957	268	23	,	,	PUNCT
american_scientific_journal-2957	268	24	0	0	NUM
american_scientific_journal-2957	268	25	1	1	NUM
american_scientific_journal-2957	268	26	,	,	PUNCT
american_scientific_journal-2957	268	27	1	1	NUM
american_scientific_journal-2957	268	28	,	,	PUNCT
american_scientific_journal-2957	268	29	2	2	NUM
american_scientific_journal-2957	268	30	,	,	PUNCT
american_scientific_journal-2957	268	31	...	...	PUNCT
american_scientific_journal-2957	268	32	,	,	PUNCT
american_scientific_journal-2957	268	33	.	.	PUNCT
american_scientific_journal-2957	269	1	i	i	PRON
american_scientific_journal-2957	269	2	i	i	PRON
american_scientific_journal-2957	269	3	m	m	VERB
american_scientific_journal-2957	269	4	r	r	NOUN
american_scientific_journal-2957	269	5	r	r	NOUN
american_scientific_journal-2957	269	6	s	s	NOUN
american_scientific_journal-2957	269	7	f	f	X
american_scientific_journal-2957	269	8	f	f	NOUN
american_scientific_journal-2957	269	9	i	i	PRON
american_scientific_journal-2957	269	10	n	n	NOUN
american_scientific_journal-2957	269	11	=	=	PUNCT
american_scientific_journal-2957	269	12	=	=	PUNCT
american_scientific_journal-2957	270	1	+	+	PUNCT
american_scientific_journal-2957	270	2	=	=	NOUN
american_scientific_journal-2957	270	3	∑	∑	SYM
american_scientific_journal-2957	270	4	3	3	NUM
american_scientific_journal-2957	270	5	.	.	NOUN
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american_scientific_journal-2957	270	8	now	now	ADV
american_scientific_journal-2957	270	9	we	we	PRON
american_scientific_journal-2957	270	10	shall	shall	AUX
american_scientific_journal-2957	270	11	obtain	obtain	VERB
american_scientific_journal-2957	270	12	error	error	NOUN
american_scientific_journal-2957	270	13	bound	bind	VERB
american_scientific_journal-2957	270	14	for	for	ADP
american_scientific_journal-2957	270	15	the	the	DET
american_scientific_journal-2957	270	16	above	above	ADJ
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american_scientific_journal-2957	270	18	and	and	CCONJ
american_scientific_journal-2957	270	19	its	its	PRON
american_scientific_journal-2957	270	20	derivatives	derivative	NOUN
american_scientific_journal-2957	270	21	.	.	PUNCT
american_scientific_journal-2957	271	1	for	for	ADP
american_scientific_journal-2957	271	2	this	this	PRON
american_scientific_journal-2957	271	3	we	we	PRON
american_scientific_journal-2957	271	4	use	use	VERB
american_scientific_journal-2957	271	5	the	the	DET
american_scientific_journal-2957	271	6	following	follow	VERB
american_scientific_journal-2957	271	7	result	result	NOUN
american_scientific_journal-2957	271	8	due	due	ADP
american_scientific_journal-2957	271	9	to	to	ADP
american_scientific_journal-2957	271	10	cirlet	cirlet	NOUN
american_scientific_journal-2957	271	11	,	,	PUNCT
american_scientific_journal-2957	271	12	schultz	schultz	PROPN
american_scientific_journal-2957	271	13	and	and	CCONJ
american_scientific_journal-2957	271	14	varga	varga	PROPN
american_scientific_journal-2957	271	15	[	[	X
american_scientific_journal-2957	271	16	2	2	NUM
american_scientific_journal-2957	271	17	]	]	PUNCT
american_scientific_journal-2957	271	18	.	.	PUNCT
american_scientific_journal-2957	272	1	let	let	VERB
american_scientific_journal-2957	272	2	2	2	NUM
american_scientific_journal-2957	272	3	[	[	X
american_scientific_journal-2957	272	4	0	0	NUM
american_scientific_journal-2957	272	5	,	,	PUNCT
american_scientific_journal-2957	272	6	]	]	PUNCT
american_scientific_journal-2957	272	7	mf	mf	X
american_scientific_journal-2957	272	8	c	c	X
american_scientific_journal-2957	272	9	h∈	h∈	ADV
american_scientific_journal-2957	272	10	be	be	AUX
american_scientific_journal-2957	272	11	given	give	VERB
american_scientific_journal-2957	272	12	.	.	PUNCT
american_scientific_journal-2957	273	1	let	let	VERB
american_scientific_journal-2957	273	2	2	2	NUM
american_scientific_journal-2957	273	3	1mq	1mq	NOUN
american_scientific_journal-2957	273	4	−	−	NOUN
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american_scientific_journal-2957	273	17	and	and	CCONJ
american_scientific_journal-2957	273	18	its	its	PRON
american_scientific_journal-2957	273	19	first	first	ADJ
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american_scientific_journal-2957	273	21	derivatives	derivative	NOUN
american_scientific_journal-2957	273	22	(	(	PUNCT
american_scientific_journal-2957	273	23	)	)	PUNCT
american_scientific_journal-2957	273	24	rg	rg	PROPN
american_scientific_journal-2957	273	25	at	at	ADP
american_scientific_journal-2957	273	26	0	0	NUM
american_scientific_journal-2957	273	27	and	and	CCONJ
american_scientific_journal-2957	273	28	h.	h.	PROPN
american_scientific_journal-2957	273	29	then	then	ADV
american_scientific_journal-2957	273	30	the	the	DET
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american_scientific_journal-2957	273	32	(	(	PUNCT
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american_scientific_journal-2957	273	34	(	(	PUNCT
american_scientific_journal-2957	273	35	)	)	PUNCT
american_scientific_journal-2957	273	36	(	(	PUNCT
american_scientific_journal-2957	273	37	)	)	PUNCT
american_scientific_journal-2957	273	38	2	2	NUM
american_scientific_journal-2957	273	39	1	1	NUM
american_scientific_journal-2957	273	40	,	,	PUNCT
american_scientific_journal-2957	273	41	r	r	NOUN
american_scientific_journal-2957	273	42	r	r	NOUN
american_scientific_journal-2957	273	43	r	r	NOUN
american_scientific_journal-2957	273	44	me	i	PRON
american_scientific_journal-2957	273	45	g	g	NOUN
american_scientific_journal-2957	273	46	q	q	PUNCT
american_scientific_journal-2957	273	47	−=	−=	VERB
american_scientific_journal-2957	273	48	−	−	PROPN
american_scientific_journal-2957	273	49	for	for	ADP
american_scientific_journal-2957	273	50	0	0	NUM
american_scientific_journal-2957	273	51	x	x	SYM
american_scientific_journal-2957	273	52	h≤	h≤	PRON
american_scientific_journal-2957	273	53	≤	≤	NOUN
american_scientific_journal-2957	273	54	(	(	PUNCT
american_scientific_journal-2957	273	55	[	[	X
american_scientific_journal-2957	273	56	5	5	NUM
american_scientific_journal-2957	273	57	]	]	PUNCT
american_scientific_journal-2957	273	58	,	,	PUNCT
american_scientific_journal-2957	273	59	p.	p.	NOUN
american_scientific_journal-2957	273	60	161	161	NUM
american_scientific_journal-2957	273	61	)	)	PUNCT
american_scientific_journal-2957	273	62	(	(	PUNCT
american_scientific_journal-2957	273	63	)	)	PUNCT
american_scientific_journal-2957	273	64	[	[	PUNCT
american_scientific_journal-2957	273	65	(	(	PUNCT
american_scientific_journal-2957	273	66	)	)	PUNCT
american_scientific_journal-2957	273	67	]	]	PUNCT
american_scientific_journal-2957	273	68	(	(	PUNCT
american_scientific_journal-2957	273	69	)	)	PUNCT
american_scientific_journal-2957	273	70	,	,	PUNCT
american_scientific_journal-2957	273	71	0,1	0,1	NUM
american_scientific_journal-2957	273	72	,	,	PUNCT
american_scientific_journal-2957	273	73	...	...	PUNCT
american_scientific_journal-2957	273	74	,	,	PUNCT
american_scientific_journal-2957	273	75	,	,	PUNCT
american_scientific_journal-2957	273	76	!	!	PUNCT
american_scientific_journal-2957	274	1	(	(	PUNCT
american_scientific_journal-2957	274	2	2	2	NUM
american_scientific_journal-2957	274	3	2	2	NUM
american_scientific_journal-2957	274	4	)	)	PUNCT
american_scientific_journal-2957	274	5	!	!	PUNCT
american_scientific_journal-2957	275	1	r	r	NOUN
american_scientific_journal-2957	275	2	m	m	VERB
american_scientific_journal-2957	275	3	r	r	NOUN
american_scientific_journal-2957	275	4	r	r	NOUN
american_scientific_journal-2957	275	5	h	h	NOUN
american_scientific_journal-2957	275	6	x	x	NOUN
american_scientific_journal-2957	275	7	h	h	NOUN
american_scientific_journal-2957	275	8	x	x	SYM
american_scientific_journal-2957	275	9	fe	fe	X
american_scientific_journal-2957	275	10	x	x	SYM
american_scientific_journal-2957	276	1	r	r	NOUN
american_scientific_journal-2957	276	2	m	m	VERB
american_scientific_journal-2957	276	3	r	r	NOUN
american_scientific_journal-2957	276	4	m	m	NOUN
american_scientific_journal-2957	276	5	r	r	NOUN
american_scientific_journal-2957	276	6	−−	−−	NOUN
american_scientific_journal-2957	276	7	=	=	PUNCT
american_scientific_journal-2957	276	8	=	=	SYM
american_scientific_journal-2957	276	9	−	−	PROPN
american_scientific_journal-2957	276	10	(	(	PUNCT
american_scientific_journal-2957	276	11	14	14	NUM
american_scientific_journal-2957	276	12	)	)	PUNCT
american_scientific_journal-2957	276	13	where	where	SCONJ
american_scientific_journal-2957	276	14	(	(	PUNCT
american_scientific_journal-2957	276	15	2	2	NUM
american_scientific_journal-2957	276	16	)	)	PUNCT
american_scientific_journal-2957	276	17	0	0	NUM
american_scientific_journal-2957	277	1	max	max	PROPN
american_scientific_journal-2957	277	2	(	(	PUNCT
american_scientific_journal-2957	277	3	)	)	PUNCT
american_scientific_journal-2957	277	4	,	,	PUNCT
american_scientific_journal-2957	277	5	0	0	NUM
american_scientific_journal-2957	277	6	.m	.m	NOUN
american_scientific_journal-2957	278	1	x	x	X
american_scientific_journal-2957	279	1	h	h	NOUN
american_scientific_journal-2957	279	2	f	f	NOUN
american_scientific_journal-2957	279	3	g	g	NOUN
american_scientific_journal-2957	279	4	x	x	X
american_scientific_journal-2957	279	5	x	x	SYM
american_scientific_journal-2957	279	6	h	h	NOUN
american_scientific_journal-2957	279	7	≤	≤	NOUN
american_scientific_journal-2957	279	8	≤	≤	NUM
american_scientific_journal-2957	279	9	=	=	PUNCT
american_scientific_journal-2957	279	10	≤	≤	NUM
american_scientific_journal-2957	279	11	≤	≤	PUNCT
american_scientific_journal-2957	279	12	the	the	DET
american_scientific_journal-2957	279	13	bounds	bound	NOUN
american_scientific_journal-2957	279	14	in	in	ADP
american_scientific_journal-2957	279	15	(	(	PUNCT
american_scientific_journal-2957	279	16	14	14	NUM
american_scientific_journal-2957	279	17	)	)	PUNCT
american_scientific_journal-2957	279	18	are	be	AUX
american_scientific_journal-2957	279	19	best	good	ADJ
american_scientific_journal-2957	279	20	possible	possible	ADJ
american_scientific_journal-2957	279	21	for	for	ADP
american_scientific_journal-2957	279	22	r	r	NOUN
american_scientific_journal-2957	279	23	=	=	SYM
american_scientific_journal-2957	279	24	0	0	NUM
american_scientific_journal-2957	279	25	only	only	ADV
american_scientific_journal-2957	279	26	.	.	PUNCT
american_scientific_journal-2957	280	1	for	for	ADP
american_scientific_journal-2957	280	2	some	some	DET
american_scientific_journal-2957	280	3	values	value	NOUN
american_scientific_journal-2957	280	4	of	of	ADP
american_scientific_journal-2957	280	5	m	m	PROPN
american_scientific_journal-2957	280	6	(	(	PUNCT
american_scientific_journal-2957	280	7	m=2	m=2	PROPN
american_scientific_journal-2957	280	8	and	and	CCONJ
american_scientific_journal-2957	280	9	m	m	PROPN
american_scientific_journal-2957	280	10	=	=	ADJ
american_scientific_journal-2957	280	11	3	3	X
american_scientific_journal-2957	280	12	)	)	PUNCT
american_scientific_journal-2957	280	13	optimal	optimal	ADJ
american_scientific_journal-2957	280	14	error	error	NOUN
american_scientific_journal-2957	280	15	bounds	bound	NOUN
american_scientific_journal-2957	280	16	on	on	ADP
american_scientific_journal-2957	280	17	the	the	DET
american_scientific_journal-2957	280	18	derivatives	derivative	NOUN
american_scientific_journal-2957	280	19	(	(	PUNCT
american_scientific_journal-2957	280	20	)	)	PUNCT
american_scientific_journal-2957	280	21	(	(	PUNCT
american_scientific_journal-2957	280	22	)	)	PUNCT
american_scientific_journal-2957	280	23	re	re	X
american_scientific_journal-2957	280	24	x	x	VERB
american_scientific_journal-2957	280	25	do	do	AUX
american_scientific_journal-2957	280	26	exist	exist	VERB
american_scientific_journal-2957	280	27	due	due	ADP
american_scientific_journal-2957	280	28	to	to	ADP
american_scientific_journal-2957	280	29	[	[	X
american_scientific_journal-2957	280	30	1	1	NUM
american_scientific_journal-2957	280	31	]	]	PUNCT
american_scientific_journal-2957	280	32	,	,	PUNCT
american_scientific_journal-2957	280	33	(	(	PUNCT
american_scientific_journal-2957	280	34	see	see	VERB
american_scientific_journal-2957	280	35	also	also	ADV
american_scientific_journal-2957	280	36	varma	varma	PROPN
american_scientific_journal-2957	280	37	and	and	CCONJ
american_scientific_journal-2957	280	38	howell	howell	PROPN
american_scientific_journal-2957	281	1	[	[	X
american_scientific_journal-2957	281	2	7	7	NUM
american_scientific_journal-2957	281	3	]	]	PUNCT
american_scientific_journal-2957	281	4	)	)	PUNCT
american_scientific_journal-2957	281	5	.	.	PUNCT
american_scientific_journal-2957	282	1	let	let	VERB
american_scientific_journal-2957	282	2	(	(	PUNCT
american_scientific_journal-2957	282	3	)	)	PUNCT
american_scientific_journal-2957	282	4	s	s	PART
american_scientific_journal-2957	282	5	x′	x′	PROPN
american_scientific_journal-2957	282	6	be	be	AUX
american_scientific_journal-2957	282	7	hermite	hermite	ADJ
american_scientific_journal-2957	282	8	interpolation	interpolation	NOUN
american_scientific_journal-2957	282	9	polynomial	polynomial	NOUN
american_scientific_journal-2957	282	10	of	of	ADP
american_scientific_journal-2957	282	11	degree	degree	NOUN
american_scientific_journal-2957	282	12	2m-1	2m-1	NUM
american_scientific_journal-2957	282	13	matching	matching	NOUN
american_scientific_journal-2957	282	14	(	(	PUNCT
american_scientific_journal-2957	282	15	)	)	PUNCT
american_scientific_journal-2957	282	16	,	,	PUNCT
american_scientific_journal-2957	282	17	1	1	NUM
american_scientific_journal-2957	282	18	,	,	PUNCT
american_scientific_journal-2957	282	19	2,	2,	NUM
american_scientific_journal-2957	282	20	...	...	PUNCT
american_scientific_journal-2957	282	21	,rf	,rf	PUNCT
american_scientific_journal-2957	283	1	r	r	NOUN
american_scientific_journal-2957	283	2	m=	m=	X
american_scientific_journal-2957	283	3	at	at	ADP
american_scientific_journal-2957	283	4	xi	xi	PROPN
american_scientific_journal-2957	283	5	and	and	CCONJ
american_scientific_journal-2957	283	6	xi+1	xi+1	NUM
american_scientific_journal-2957	283	7	,	,	PUNCT
american_scientific_journal-2957	283	8	therefore	therefore	ADV
american_scientific_journal-2957	283	9	for	for	SCONJ
american_scientific_journal-2957	283	10	any	any	DET
american_scientific_journal-2957	283	11	1	1	NUM
american_scientific_journal-2957	283	12	[	[	PUNCT
american_scientific_journal-2957	283	13	,	,	PUNCT
american_scientific_journal-2957	283	14	]	]	PUNCT
american_scientific_journal-2957	283	15	,	,	PUNCT
american_scientific_journal-2957	283	16	i	i	PRON
american_scientific_journal-2957	283	17	ix	ix	ADP
american_scientific_journal-2957	283	18	x	x	PUNCT
american_scientific_journal-2957	283	19	x	x	X
american_scientific_journal-2957	284	1	+	+	NOUN
american_scientific_journal-2957	284	2	∈	∈	ADJ
american_scientific_journal-2957	284	3	we	we	PRON
american_scientific_journal-2957	284	4	have	have	VERB
american_scientific_journal-2957	284	5	by	by	ADP
american_scientific_journal-2957	284	6	(	(	PUNCT
american_scientific_journal-2957	284	7	14	14	NUM
american_scientific_journal-2957	284	8	)	)	PUNCT
american_scientific_journal-2957	284	9	,	,	PUNCT
american_scientific_journal-2957	284	10	with	with	ADP
american_scientific_journal-2957	284	11	2	2	NUM
american_scientific_journal-2957	284	12	1	1	NUM
american_scientific_journal-2957	284	13	,	,	PUNCT
american_scientific_journal-2957	284	14	,	,	PUNCT
american_scientific_journal-2957	284	15	mg	mg	PROPN
american_scientific_journal-2957	284	16	f	f	PROPN
american_scientific_journal-2957	284	17	q	q	PROPN
american_scientific_journal-2957	285	1	s−′	s−′	NOUN
american_scientific_journal-2957	285	2	′=	′=	PROPN
american_scientific_journal-2957	285	3	=	=	PUNCT
american_scientific_journal-2957	285	4	(	(	PUNCT
american_scientific_journal-2957	285	5	1	1	NUM
american_scientific_journal-2957	285	6	)	)	PUNCT
american_scientific_journal-2957	285	7	(	(	PUNCT
american_scientific_journal-2957	285	8	1	1	X
american_scientific_journal-2957	285	9	)	)	PUNCT
american_scientific_journal-2957	285	10	(	(	PUNCT
american_scientific_journal-2957	285	11	2	2	NUM
american_scientific_journal-2957	285	12	1)1	1)1	NUM
american_scientific_journal-2957	285	13	[	[	X
american_scientific_journal-2957	285	14	(	(	PUNCT
american_scientific_journal-2957	285	15	)	)	PUNCT
american_scientific_journal-2957	285	16	(	(	PUNCT
american_scientific_journal-2957	285	17	)	)	PUNCT
american_scientific_journal-2957	285	18	]	]	PUNCT
american_scientific_journal-2957	285	19	,	,	PUNCT
american_scientific_journal-2957	285	20	0,1	0,1	NUM
american_scientific_journal-2957	285	21	,	,	PUNCT
american_scientific_journal-2957	285	22	...	...	PUNCT
american_scientific_journal-2957	285	23	,	,	PUNCT
american_scientific_journal-2957	285	24	.	.	PUNCT
american_scientific_journal-2957	285	25	!	!	PUNCT
american_scientific_journal-2957	286	1	(	(	PUNCT
american_scientific_journal-2957	286	2	2	2	NUM
american_scientific_journal-2957	286	3	)	)	PUNCT
american_scientific_journal-2957	286	4	!	!	PUNCT
american_scientific_journal-2957	287	1	r	r	NOUN
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american_scientific_journal-2957	287	3	r	r	NOUN
american_scientific_journal-2957	287	4	r	r	NOUN
american_scientific_journal-2957	287	5	r	r	NOUN
american_scientific_journal-2957	287	6	mi	mi	NOUN
american_scientific_journal-2957	287	7	ih	ih	NOUN
american_scientific_journal-2957	287	8	x	x	PUNCT
american_scientific_journal-2957	287	9	x	x	PUNCT
american_scientific_journal-2957	287	10	x	x	X
american_scientific_journal-2957	288	1	xs	xs	PROPN
american_scientific_journal-2957	288	2	f	f	PROPN
american_scientific_journal-2957	288	3	f	f	PROPN
american_scientific_journal-2957	289	1	r	r	NOUN
american_scientific_journal-2957	289	2	m	m	VERB
american_scientific_journal-2957	289	3	r	r	NOUN
american_scientific_journal-2957	289	4	m	m	NOUN
american_scientific_journal-2957	289	5	r	r	NOUN
american_scientific_journal-2957	289	6	−	−	NOUN
american_scientific_journal-2957	290	1	+	+	CCONJ
american_scientific_journal-2957	291	1	+	+	PUNCT
american_scientific_journal-2957	292	1	+	+	ADJ
american_scientific_journal-2957	292	2	+	+	NUM
american_scientific_journal-2957	292	3	∞	∞	NUM
american_scientific_journal-2957	292	4	−	−	NOUN
american_scientific_journal-2957	292	5	−	−	PROPN
american_scientific_journal-2957	292	6	−	−	NOUN
american_scientific_journal-2957	292	7	≤	≤	NUM
american_scientific_journal-2957	292	8	=	=	PUNCT
american_scientific_journal-2957	292	9	−	−	NOUN
american_scientific_journal-2957	292	10	by	by	ADP
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american_scientific_journal-2957	292	12	simple	simple	ADJ
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american_scientific_journal-2957	292	14	we	we	PRON
american_scientific_journal-2957	292	15	get	get	VERB
american_scientific_journal-2957	292	16	american	american	ADJ
american_scientific_journal-2957	292	17	scientific	scientific	ADJ
american_scientific_journal-2957	292	18	research	research	NOUN
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american_scientific_journal-2957	292	20	for	for	ADP
american_scientific_journal-2957	292	21	engineering	engineering	NOUN
american_scientific_journal-2957	292	22	,	,	PUNCT
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american_scientific_journal-2957	292	24	,	,	PUNCT
american_scientific_journal-2957	292	25	and	and	CCONJ
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american_scientific_journal-2957	292	27	(	(	PUNCT
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american_scientific_journal-2957	292	30	(	(	PUNCT
american_scientific_journal-2957	292	31	2017	2017	NUM
american_scientific_journal-2957	292	32	)	)	PUNCT
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american_scientific_journal-2957	292	34	32	32	NUM
american_scientific_journal-2957	292	35	,	,	PUNCT
american_scientific_journal-2957	292	36	no	no	DET
american_scientific_journal-2957	292	37	1	1	NUM
american_scientific_journal-2957	292	38	,	,	PUNCT
american_scientific_journal-2957	292	39	pp	pp	ADV
american_scientific_journal-2957	292	40	41	41	NUM
american_scientific_journal-2957	292	41	-	-	SYM
american_scientific_journal-2957	292	42	48	48	NUM
american_scientific_journal-2957	292	43	47	47	NUM
american_scientific_journal-2957	292	44	2	2	NUM
american_scientific_journal-2957	292	45	(	(	PUNCT
american_scientific_journal-2957	292	46	1	1	NUM
american_scientific_journal-2957	292	47	)	)	PUNCT
american_scientific_journal-2957	292	48	(	(	PUNCT
american_scientific_journal-2957	292	49	1	1	X
american_scientific_journal-2957	292	50	)	)	PUNCT
american_scientific_journal-2957	292	51	(	(	PUNCT
american_scientific_journal-2957	292	52	2	2	NUM
american_scientific_journal-2957	292	53	1	1	NUM
american_scientific_journal-2957	292	54	)	)	PUNCT
american_scientific_journal-2957	292	55	[	[	PUNCT
american_scientific_journal-2957	292	56	(	(	PUNCT
american_scientific_journal-2957	292	57	1	1	NUM
american_scientific_journal-2957	292	58	)	)	PUNCT
american_scientific_journal-2957	292	59	]	]	PUNCT
american_scientific_journal-2957	292	60	,	,	PUNCT
american_scientific_journal-2957	292	61	0,1	0,1	NUM
american_scientific_journal-2957	292	62	,	,	PUNCT
american_scientific_journal-2957	292	63	...	...	PUNCT
american_scientific_journal-2957	292	64	,	,	PUNCT
american_scientific_journal-2957	292	65	.	.	PUNCT
american_scientific_journal-2957	292	66	!	!	PUNCT
american_scientific_journal-2957	293	1	(	(	PUNCT
american_scientific_journal-2957	293	2	2	2	NUM
american_scientific_journal-2957	293	3	)	)	PUNCT
american_scientific_journal-2957	293	4	!	!	PUNCT
american_scientific_journal-2957	294	1	r	r	NOUN
american_scientific_journal-2957	295	1	m	m	VERB
american_scientific_journal-2957	296	1	r	r	NOUN
american_scientific_journal-2957	296	2	r	r	NOUN
american_scientific_journal-2957	296	3	r	r	NOUN
american_scientific_journal-2957	296	4	mh	mh	NOUN
american_scientific_journal-2957	296	5	h	h	NOUN
american_scientific_journal-2957	296	6	q	q	PROPN
american_scientific_journal-2957	296	7	qs	qs	PROPN
american_scientific_journal-2957	297	1	f	f	PROPN
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american_scientific_journal-2957	298	1	r	r	NOUN
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american_scientific_journal-2957	298	3	r	r	NOUN
american_scientific_journal-2957	298	4	m	m	NOUN
american_scientific_journal-2957	298	5	r	r	NOUN
american_scientific_journal-2957	298	6	−	−	NOUN
american_scientific_journal-2957	299	1	+	+	CCONJ
american_scientific_journal-2957	299	2	+	+	PUNCT
american_scientific_journal-2957	300	1	+	+	NUM
american_scientific_journal-2957	300	2	∞	∞	NUM
american_scientific_journal-2957	300	3	−	−	NOUN
american_scientific_journal-2957	300	4	−	−	NOUN
american_scientific_journal-2957	300	5	≤	≤	NUM
american_scientific_journal-2957	300	6	=	=	PUNCT
american_scientific_journal-2957	301	1	−	−	PROPN
american_scientific_journal-2957	301	2	where	where	SCONJ
american_scientific_journal-2957	301	3	x	x	ADP
american_scientific_journal-2957	301	4	=	=	SYM
american_scientific_journal-2957	301	5	xi	xi	PROPN
american_scientific_journal-2957	301	6	+	+	NUM
american_scientific_journal-2957	301	7	qh	qh	PROPN
american_scientific_journal-2957	301	8	.	.	PROPN
american_scientific_journal-2957	301	9	then	then	ADV
american_scientific_journal-2957	301	10	for	for	ADP
american_scientific_journal-2957	301	11	0	0	NUM
american_scientific_journal-2957	301	12	1,x≤	1,x≤	NUM
american_scientific_journal-2957	301	13	≤	≤	NUM
american_scientific_journal-2957	301	14	we	we	PRON
american_scientific_journal-2957	301	15	have	have	VERB
american_scientific_journal-2957	301	16	for	for	ADP
american_scientific_journal-2957	301	17	q=1/2	q=1/2	ADJ
american_scientific_journal-2957	301	18	,	,	PUNCT
american_scientific_journal-2957	301	19	2	2	NUM
american_scientific_journal-2957	301	20	(	(	PUNCT
american_scientific_journal-2957	301	21	1	1	NUM
american_scientific_journal-2957	301	22	)	)	PUNCT
american_scientific_journal-2957	301	23	(	(	PUNCT
american_scientific_journal-2957	301	24	1	1	X
american_scientific_journal-2957	301	25	)	)	PUNCT
american_scientific_journal-2957	301	26	(	(	PUNCT
american_scientific_journal-2957	301	27	2	2	NUM
american_scientific_journal-2957	301	28	1	1	NUM
american_scientific_journal-2957	301	29	)	)	PUNCT
american_scientific_journal-2957	301	30	,	,	PUNCT
american_scientific_journal-2957	301	31	0,1	0,1	NUM
american_scientific_journal-2957	301	32	,	,	PUNCT
american_scientific_journal-2957	301	33	...	...	PUNCT
american_scientific_journal-2957	301	34	,	,	PUNCT
american_scientific_journal-2957	301	35	.	.	PUNCT
american_scientific_journal-2957	302	1	4	4	NUM
american_scientific_journal-2957	302	2	!	!	PUNCT
american_scientific_journal-2957	302	3	(	(	PUNCT
american_scientific_journal-2957	302	4	2	2	NUM
american_scientific_journal-2957	302	5	)	)	PUNCT
american_scientific_journal-2957	302	6	!	!	PUNCT
american_scientific_journal-2957	303	1	m	m	VERB
american_scientific_journal-2957	304	1	r	r	NOUN
american_scientific_journal-2957	304	2	r	r	NOUN
american_scientific_journal-2957	304	3	r	r	NOUN
american_scientific_journal-2957	304	4	m	m	NOUN
american_scientific_journal-2957	304	5	m	m	VERB
american_scientific_journal-2957	304	6	r	r	NOUN
american_scientific_journal-2957	304	7	hs	hs	INTJ
american_scientific_journal-2957	304	8	f	f	PROPN
american_scientific_journal-2957	305	1	f	f	PROPN
american_scientific_journal-2957	306	1	r	r	NOUN
american_scientific_journal-2957	306	2	m	m	VERB
american_scientific_journal-2957	306	3	r	r	NOUN
american_scientific_journal-2957	306	4	m	m	NOUN
american_scientific_journal-2957	306	5	r	r	NOUN
american_scientific_journal-2957	306	6	−	−	NOUN
american_scientific_journal-2957	307	1	+	+	CCONJ
american_scientific_journal-2957	307	2	+	+	PUNCT
american_scientific_journal-2957	308	1	+	+	CCONJ
american_scientific_journal-2957	308	2	−	−	NUM
american_scientific_journal-2957	308	3	∞	∞	NUM
american_scientific_journal-2957	308	4	−	−	PROPN
american_scientific_journal-2957	308	5	≤	≤	NUM
american_scientific_journal-2957	308	6	=	=	PUNCT
american_scientific_journal-2957	308	7	−	−	PROPN
american_scientific_journal-2957	308	8	(	(	PUNCT
american_scientific_journal-2957	308	9	15	15	NUM
american_scientific_journal-2957	308	10	)	)	PUNCT
american_scientific_journal-2957	308	11	provided	provide	VERB
american_scientific_journal-2957	308	12	2	2	NUM
american_scientific_journal-2957	308	13	1[0,1],mf	1[0,1],mf	NUM
american_scientific_journal-2957	308	14	c	c	X
american_scientific_journal-2957	309	1	+	+	NOUN
american_scientific_journal-2957	309	2	∈	∈	PROPN
american_scientific_journal-2957	309	3	using	use	VERB
american_scientific_journal-2957	309	4	0	0	NUM
american_scientific_journal-2957	309	5	0	0	NUM
american_scientific_journal-2957	309	6	,	,	PUNCT
american_scientific_journal-2957	309	7	s	s	VERB
american_scientific_journal-2957	309	8	f=	f=	ADJ
american_scientific_journal-2957	309	9	and	and	CCONJ
american_scientific_journal-2957	309	10	integrating	integrate	VERB
american_scientific_journal-2957	309	11	equation	equation	NOUN
american_scientific_journal-2957	309	12	(	(	PUNCT
american_scientific_journal-2957	309	13	15	15	NUM
american_scientific_journal-2957	309	14	)	)	PUNCT
american_scientific_journal-2957	309	15	over	over	ADP
american_scientific_journal-2957	309	16	[	[	X
american_scientific_journal-2957	309	17	0	0	NUM
american_scientific_journal-2957	309	18	,	,	PUNCT
american_scientific_journal-2957	309	19	x	x	X
american_scientific_journal-2957	309	20	]	]	X
american_scientific_journal-2957	309	21	for	for	ADP
american_scientific_journal-2957	309	22	r	r	NOUN
american_scientific_journal-2957	309	23	=	=	SYM
american_scientific_journal-2957	309	24	0	0	NUM
american_scientific_journal-2957	309	25	,	,	PUNCT
american_scientific_journal-2957	309	26	we	we	PRON
american_scientific_journal-2957	309	27	obtain	obtain	VERB
american_scientific_journal-2957	309	28	2	2	NUM
american_scientific_journal-2957	309	29	(	(	PUNCT
american_scientific_journal-2957	309	30	2	2	NUM
american_scientific_journal-2957	309	31	1	1	NUM
american_scientific_journal-2957	309	32	)	)	PUNCT
american_scientific_journal-2957	309	33	(	(	PUNCT
american_scientific_journal-2957	309	34	)	)	PUNCT
american_scientific_journal-2957	309	35	(	(	PUNCT
american_scientific_journal-2957	309	36	)	)	PUNCT
american_scientific_journal-2957	309	37	.	.	PUNCT
american_scientific_journal-2957	310	1	4	4	NUM
american_scientific_journal-2957	310	2	(	(	PUNCT
american_scientific_journal-2957	310	3	2	2	NUM
american_scientific_journal-2957	310	4	)	)	PUNCT
american_scientific_journal-2957	310	5	!	!	PUNCT
american_scientific_journal-2957	311	1	m	m	VERB
american_scientific_journal-2957	311	2	m	m	VERB
american_scientific_journal-2957	311	3	m	m	VERB
american_scientific_journal-2957	311	4	hs	hs	X
american_scientific_journal-2957	311	5	x	x	X
american_scientific_journal-2957	311	6	f	f	PROPN
american_scientific_journal-2957	311	7	x	x	X
american_scientific_journal-2957	312	1	f	f	VERB
american_scientific_journal-2957	312	2	m	m	VERB
american_scientific_journal-2957	312	3	+	+	NUM
american_scientific_journal-2957	312	4	∞	∞	NUM
american_scientific_journal-2957	312	5	−	−	PROPN
american_scientific_journal-2957	312	6	≤	≤	NUM
american_scientific_journal-2957	312	7	thus	thus	ADV
american_scientific_journal-2957	312	8	we	we	PRON
american_scientific_journal-2957	312	9	have	have	AUX
american_scientific_journal-2957	312	10	proved	prove	VERB
american_scientific_journal-2957	312	11	the	the	DET
american_scientific_journal-2957	312	12	following	following	NOUN
american_scientific_journal-2957	312	13	:	:	PUNCT
american_scientific_journal-2957	312	14	theorem	theorem	VERB
american_scientific_journal-2957	312	15	3.1	3.1	NUM
american_scientific_journal-2957	312	16	if	if	SCONJ
american_scientific_journal-2957	312	17	[	[	X
american_scientific_journal-2957	312	18	0,1]ms	0,1]ms	NUM
american_scientific_journal-2957	312	19	c∈	c∈	NOUN
american_scientific_journal-2957	312	20	is	be	AUX
american_scientific_journal-2957	312	21	the	the	DET
american_scientific_journal-2957	312	22	hermite	hermite	ADJ
american_scientific_journal-2957	312	23	interpolating	interpolate	VERB
american_scientific_journal-2957	312	24	polynomial	polynomial	ADJ
american_scientific_journal-2957	312	25	of	of	ADP
american_scientific_journal-2957	312	26	degree	degree	NOUN
american_scientific_journal-2957	312	27	2m-1	2m-1	PROPN
american_scientific_journal-2957	312	28	,	,	PUNCT
american_scientific_journal-2957	312	29	matching	match	VERB
american_scientific_journal-2957	312	30	the	the	DET
american_scientific_journal-2957	312	31	derivatives	derivative	NOUN
american_scientific_journal-2957	312	32	(	(	PUNCT
american_scientific_journal-2957	312	33	)	)	PUNCT
american_scientific_journal-2957	312	34	,	,	PUNCT
american_scientific_journal-2957	312	35	0,1,	0,1,	NOUN
american_scientific_journal-2957	312	36	...	...	PUNCT
american_scientific_journal-2957	312	37	,rf	,rf	PUNCT
american_scientific_journal-2957	312	38	r	r	NOUN
american_scientific_journal-2957	312	39	m=	m=	NOUN
american_scientific_journal-2957	312	40	at	at	ADP
american_scientific_journal-2957	312	41	the	the	DET
american_scientific_journal-2957	312	42	knots	knot	NOUN
american_scientific_journal-2957	312	43	xi	xi	PROPN
american_scientific_journal-2957	312	44	and	and	CCONJ
american_scientific_journal-2957	312	45	xi+1	xi+1	PROPN
american_scientific_journal-2957	312	46	.	.	PUNCT
american_scientific_journal-2957	313	1	then	then	ADV
american_scientific_journal-2957	313	2	for	for	ADP
american_scientific_journal-2957	313	3	2	2	NUM
american_scientific_journal-2957	313	4	1[0,1],mf	1[0,1],mf	NUM
american_scientific_journal-2957	313	5	c	c	X
american_scientific_journal-2957	313	6	+	+	NOUN
american_scientific_journal-2957	313	7	∈	∈	PROPN
american_scientific_journal-2957	313	8	and	and	CCONJ
american_scientific_journal-2957	313	9	1	1	NUM
american_scientific_journal-2957	313	10	[	[	PUNCT
american_scientific_journal-2957	313	11	,	,	PUNCT
american_scientific_journal-2957	313	12	]	]	PUNCT
american_scientific_journal-2957	313	13	,	,	PUNCT
american_scientific_journal-2957	313	14	i	i	PRON
american_scientific_journal-2957	313	15	ix	ix	ADP
american_scientific_journal-2957	313	16	x	x	PUNCT
american_scientific_journal-2957	313	17	x	x	X
american_scientific_journal-2957	314	1	+	+	NOUN
american_scientific_journal-2957	314	2	∈	∈	PROPN
american_scientific_journal-2957	314	3	(	(	PUNCT
american_scientific_journal-2957	314	4	1	1	NUM
american_scientific_journal-2957	314	5	)	)	PUNCT
american_scientific_journal-2957	314	6	(	(	PUNCT
american_scientific_journal-2957	314	7	1	1	NUM
american_scientific_journal-2957	314	8	)	)	SYM
american_scientific_journal-2957	314	9	2	2	NUM
american_scientific_journal-2957	314	10	(	(	PUNCT
american_scientific_journal-2957	314	11	2	2	NUM
american_scientific_journal-2957	314	12	1	1	NUM
american_scientific_journal-2957	314	13	)	)	PUNCT
american_scientific_journal-2957	314	14	(	(	PUNCT
american_scientific_journal-2957	314	15	)	)	PUNCT
american_scientific_journal-2957	314	16	,	,	PUNCT
american_scientific_journal-2957	314	17	r	r	NOUN
american_scientific_journal-2957	314	18	r	r	NOUN
american_scientific_journal-2957	314	19	m	m	NOUN
american_scientific_journal-2957	314	20	r	r	NOUN
american_scientific_journal-2957	314	21	ms	ms	NOUN
american_scientific_journal-2957	314	22	f	f	PROPN
american_scientific_journal-2957	314	23	k	k	PROPN
american_scientific_journal-2957	314	24	r	r	PROPN
american_scientific_journal-2957	314	25	h	h	NOUN
american_scientific_journal-2957	314	26	f+	f+	NOUN
american_scientific_journal-2957	314	27	+	+	CCONJ
american_scientific_journal-2957	314	28	−	−	PROPN
american_scientific_journal-2957	315	1	+	+	CCONJ
american_scientific_journal-2957	315	2	∞	∞	NUM
american_scientific_journal-2957	315	3	−	−	PROPN
american_scientific_journal-2957	315	4	≤	≤	NOUN
american_scientific_journal-2957	315	5	where	where	SCONJ
american_scientific_journal-2957	315	6	1	1	NUM
american_scientific_journal-2957	315	7	(	(	PUNCT
american_scientific_journal-2957	315	8	)	)	PUNCT
american_scientific_journal-2957	316	1	[	[	X
american_scientific_journal-2957	316	2	4	4	NUM
american_scientific_journal-2957	316	3	!	!	PUNCT
american_scientific_journal-2957	316	4	(	(	PUNCT
american_scientific_journal-2957	316	5	2	2	NUM
american_scientific_journal-2957	316	6	)	)	PUNCT
american_scientific_journal-2957	316	7	!	!	PUNCT
american_scientific_journal-2957	316	8	]	]	PUNCT
american_scientific_journal-2957	317	1	,	,	PUNCT
american_scientific_journal-2957	317	2	0,1,	0,1,	NOUN
american_scientific_journal-2957	317	3	...	...	PUNCT
american_scientific_journal-2957	317	4	,m	,m	PUNCT
american_scientific_journal-2957	317	5	rk	rk	NOUN
american_scientific_journal-2957	317	6	r	r	NOUN
american_scientific_journal-2957	317	7	r	r	NOUN
american_scientific_journal-2957	317	8	m	m	NOUN
american_scientific_journal-2957	317	9	r	r	NOUN
american_scientific_journal-2957	317	10	r	r	NOUN
american_scientific_journal-2957	317	11	m−	m−	PROPN
american_scientific_journal-2957	317	12	−=	−=	NOUN
american_scientific_journal-2957	317	13	−	−	PROPN
american_scientific_journal-2957	317	14	=	=	PUNCT
american_scientific_journal-2957	317	15	is	be	AUX
american_scientific_journal-2957	317	16	constant	constant	ADJ
american_scientific_journal-2957	317	17	depending	depend	VERB
american_scientific_journal-2957	317	18	on	on	ADP
american_scientific_journal-2957	317	19	r.	r.	PROPN
american_scientific_journal-2957	317	20	4	4	NUM
american_scientific_journal-2957	317	21	.	.	PUNCT
american_scientific_journal-2957	317	22	conclusion	conclusion	NOUN
american_scientific_journal-2957	317	23	in	in	ADP
american_scientific_journal-2957	317	24	this	this	DET
american_scientific_journal-2957	317	25	paper	paper	NOUN
american_scientific_journal-2957	317	26	we	we	PRON
american_scientific_journal-2957	317	27	studied	study	VERB
american_scientific_journal-2957	317	28	the	the	DET
american_scientific_journal-2957	317	29	existence	existence	NOUN
american_scientific_journal-2957	317	30	and	and	CCONJ
american_scientific_journal-2957	317	31	uniqueness	uniqueness	NOUN
american_scientific_journal-2957	317	32	of	of	ADP
american_scientific_journal-2957	317	33	a	a	DET
american_scientific_journal-2957	317	34	class	class	NOUN
american_scientific_journal-2957	317	35	of	of	ADP
american_scientific_journal-2957	317	36	general	general	ADJ
american_scientific_journal-2957	317	37	even	even	ADV
american_scientific_journal-2957	317	38	degree	degree	NOUN
american_scientific_journal-2957	317	39	deficient	deficient	ADJ
american_scientific_journal-2957	317	40	spline	spline	NOUN
american_scientific_journal-2957	317	41	the	the	DET
american_scientific_journal-2957	317	42	matching	match	VERB
american_scientific_journal-2957	317	43	derivatives	derivative	NOUN
american_scientific_journal-2957	317	44	at	at	ADP
american_scientific_journal-2957	317	45	the	the	DET
american_scientific_journal-2957	317	46	knots	knot	NOUN
american_scientific_journal-2957	317	47	to	to	ADP
american_scientific_journal-2957	317	48	a	a	DET
american_scientific_journal-2957	317	49	given	give	VERB
american_scientific_journal-2957	317	50	order	order	NOUN
american_scientific_journal-2957	317	51	.	.	PUNCT
american_scientific_journal-2957	318	1	we	we	PRON
american_scientific_journal-2957	318	2	have	have	AUX
american_scientific_journal-2957	318	3	also	also	ADV
american_scientific_journal-2957	318	4	obtained	obtain	VERB
american_scientific_journal-2957	318	5	explicit	explicit	ADJ
american_scientific_journal-2957	318	6	formula	formula	NOUN
american_scientific_journal-2957	318	7	with	with	ADP
american_scientific_journal-2957	318	8	error	error	NOUN
american_scientific_journal-2957	318	9	estimation	estimation	NOUN
american_scientific_journal-2957	318	10	of	of	ADP
american_scientific_journal-2957	318	11	approximation	approximation	NOUN
american_scientific_journal-2957	318	12	.	.	PUNCT
american_scientific_journal-2957	319	1	in	in	ADP
american_scientific_journal-2957	319	2	study	study	NOUN
american_scientific_journal-2957	319	3	of	of	ADP
american_scientific_journal-2957	319	4	statistical	statistical	ADJ
american_scientific_journal-2957	319	5	distributions	distribution	NOUN
american_scientific_journal-2957	319	6	we	we	PRON
american_scientific_journal-2957	319	7	are	be	AUX
american_scientific_journal-2957	319	8	getting	get	VERB
american_scientific_journal-2957	319	9	such	such	ADJ
american_scientific_journal-2957	319	10	type	type	NOUN
american_scientific_journal-2957	319	11	of	of	ADP
american_scientific_journal-2957	319	12	integrals	integral	NOUN
american_scientific_journal-2957	319	13	(	(	PUNCT
american_scientific_journal-2957	319	14	)	)	PUNCT
american_scientific_journal-2957	319	15	(	(	PUNCT
american_scientific_journal-2957	319	16	)	)	PUNCT
american_scientific_journal-2957	319	17	,	,	PUNCT
american_scientific_journal-2957	319	18	for	for	ADP
american_scientific_journal-2957	319	19	[	[	PUNCT
american_scientific_journal-2957	319	20	,	,	PUNCT
american_scientific_journal-2957	319	21	]	]	X
american_scientific_journal-2957	319	22	x	x	X
american_scientific_journal-2957	319	23	a	a	DET
american_scientific_journal-2957	319	24	f	f	X
american_scientific_journal-2957	319	25	x	x	X
american_scientific_journal-2957	319	26	f	f	PROPN
american_scientific_journal-2957	319	27	t	t	NOUN
american_scientific_journal-2957	320	1	dt	dt	X
american_scientific_journal-2957	321	1	x	x	X
american_scientific_journal-2957	322	1	a	a	DET
american_scientific_journal-2957	322	2	b′=	b′=	PROPN
american_scientific_journal-2957	322	3	∈∫	∈∫	NOUN
american_scientific_journal-2957	322	4	which	which	PRON
american_scientific_journal-2957	322	5	allow	allow	VERB
american_scientific_journal-2957	322	6	us	we	PRON
american_scientific_journal-2957	322	7	to	to	PART
american_scientific_journal-2957	322	8	approximate	approximate	VERB
american_scientific_journal-2957	322	9	and	and	CCONJ
american_scientific_journal-2957	322	10	the	the	DET
american_scientific_journal-2957	322	11	above	above	ADJ
american_scientific_journal-2957	322	12	obtained	obtain	VERB
american_scientific_journal-2957	322	13	spline	spline	NOUN
american_scientific_journal-2957	322	14	establish	establish	VERB
american_scientific_journal-2957	322	15	a	a	DET
american_scientific_journal-2957	322	16	new	new	ADJ
american_scientific_journal-2957	322	17	class	class	NOUN
american_scientific_journal-2957	322	18	of	of	ADP
american_scientific_journal-2957	322	19	numerical	numerical	ADJ
american_scientific_journal-2957	322	20	quadrature	quadrature	NOUN
american_scientific_journal-2957	322	21	rules	rule	NOUN
american_scientific_journal-2957	322	22	.	.	PUNCT
american_scientific_journal-2957	323	1	references	reference	NOUN
american_scientific_journal-2957	323	2	[	[	X
american_scientific_journal-2957	323	3	1	1	NUM
american_scientific_journal-2957	323	4	]	]	PUNCT
american_scientific_journal-2957	323	5	.	.	PUNCT
american_scientific_journal-2957	324	1	g.	g.	PROPN
american_scientific_journal-2957	324	2	birkhoff	birkhoff	PROPN
american_scientific_journal-2957	324	3	and	and	CCONJ
american_scientific_journal-2957	324	4	a.	a.	PROPN
american_scientific_journal-2957	324	5	priver	priver	PROPN
american_scientific_journal-2957	324	6	,	,	PUNCT
american_scientific_journal-2957	324	7	hermite	hermite	ADJ
american_scientific_journal-2957	324	8	interpolation	interpolation	NOUN
american_scientific_journal-2957	324	9	errors	error	NOUN
american_scientific_journal-2957	324	10	for	for	ADP
american_scientific_journal-2957	324	11	derivatives	derivative	NOUN
american_scientific_journal-2957	324	12	,	,	PUNCT
american_scientific_journal-2957	324	13	j.	j.	PROPN
american_scientific_journal-2957	324	14	math	math	PROPN
american_scientific_journal-2957	324	15	.	.	PUNCT
american_scientific_journal-2957	325	1	phys	phy	NOUN
american_scientific_journal-2957	325	2	.	.	PUNCT
american_scientific_journal-2957	325	3	,	,	PUNCT
american_scientific_journal-2957	325	4	46(1967	46(1967	NUM
american_scientific_journal-2957	325	5	)	)	PUNCT
american_scientific_journal-2957	325	6	,	,	PUNCT
american_scientific_journal-2957	325	7	440447	440447	NUM
american_scientific_journal-2957	325	8	.	.	PUNCT
american_scientific_journal-2957	326	1	[	[	X
american_scientific_journal-2957	326	2	2	2	NUM
american_scientific_journal-2957	326	3	]	]	PUNCT
american_scientific_journal-2957	326	4	.	.	PUNCT
american_scientific_journal-2957	327	1	p.	p.	NOUN
american_scientific_journal-2957	327	2	c.	c.	PROPN
american_scientific_journal-2957	327	3	cirlet	cirlet	PROPN
american_scientific_journal-2957	327	4	,	,	PUNCT
american_scientific_journal-2957	327	5	m.	m.	PROPN
american_scientific_journal-2957	327	6	h.	h.	PROPN
american_scientific_journal-2957	327	7	schultz	schultz	PROPN
american_scientific_journal-2957	327	8	and	and	CCONJ
american_scientific_journal-2957	327	9	r.	r.	PROPN
american_scientific_journal-2957	327	10	s.	s.	PROPN
american_scientific_journal-2957	327	11	varga	varga	PROPN
american_scientific_journal-2957	327	12	,	,	PUNCT
american_scientific_journal-2957	327	13	numerical	numerical	ADJ
american_scientific_journal-2957	327	14	methods	method	NOUN
american_scientific_journal-2957	327	15	of	of	ADP
american_scientific_journal-2957	327	16	high	high	ADJ
american_scientific_journal-2957	327	17	-	-	PUNCT
american_scientific_journal-2957	327	18	order	order	NOUN
american_scientific_journal-2957	327	19	accuracy	accuracy	NOUN
american_scientific_journal-2957	327	20	.	.	PUNCT
american_scientific_journal-2957	328	1	numer	numer	PROPN
american_scientific_journal-2957	328	2	.	.	PUNCT
american_scientific_journal-2957	329	1	american	american	PROPN
american_scientific_journal-2957	329	2	scientific	scientific	PROPN
american_scientific_journal-2957	329	3	research	research	PROPN
american_scientific_journal-2957	329	4	journal	journal	NOUN
american_scientific_journal-2957	329	5	for	for	ADP
american_scientific_journal-2957	329	6	engineering	engineering	NOUN
american_scientific_journal-2957	329	7	,	,	PUNCT
american_scientific_journal-2957	329	8	technology	technology	NOUN
american_scientific_journal-2957	329	9	,	,	PUNCT
american_scientific_journal-2957	329	10	and	and	CCONJ
american_scientific_journal-2957	329	11	sciences	science	NOUN
american_scientific_journal-2957	329	12	(	(	PUNCT
american_scientific_journal-2957	329	13	asrjets	asrjet	NOUN
american_scientific_journal-2957	329	14	)	)	PUNCT
american_scientific_journal-2957	329	15	(	(	PUNCT
american_scientific_journal-2957	329	16	2017	2017	NUM
american_scientific_journal-2957	329	17	)	)	PUNCT
american_scientific_journal-2957	329	18	volume	volume	NOUN
american_scientific_journal-2957	329	19	32	32	NUM
american_scientific_journal-2957	329	20	,	,	PUNCT
american_scientific_journal-2957	329	21	no	no	DET
american_scientific_journal-2957	329	22	1	1	NUM
american_scientific_journal-2957	329	23	,	,	PUNCT
american_scientific_journal-2957	329	24	pp	pp	ADV
american_scientific_journal-2957	329	25	41	41	NUM
american_scientific_journal-2957	329	26	-	-	SYM
american_scientific_journal-2957	329	27	48	48	NUM
american_scientific_journal-2957	329	28	48	48	NUM
american_scientific_journal-2957	329	29	math	math	NOUN
american_scientific_journal-2957	329	30	,	,	PUNCT
american_scientific_journal-2957	329	31	9(1967	9(1967	NOUN
american_scientific_journal-2957	329	32	)	)	PUNCT
american_scientific_journal-2957	329	33	,	,	PUNCT
american_scientific_journal-2957	329	34	394	394	NUM
american_scientific_journal-2957	329	35	-	-	SYM
american_scientific_journal-2957	329	36	430	430	NUM
american_scientific_journal-2957	329	37	.	.	PUNCT
american_scientific_journal-2957	330	1	[	[	X
american_scientific_journal-2957	330	2	3	3	NUM
american_scientific_journal-2957	330	3	]	]	PUNCT
american_scientific_journal-2957	330	4	.	.	PUNCT
american_scientific_journal-2957	331	1	c.	c.	PROPN
american_scientific_journal-2957	331	2	de	de	PROPN
american_scientific_journal-2957	331	3	.	.	PROPN
american_scientific_journal-2957	331	4	boor	boor	PROPN
american_scientific_journal-2957	331	5	,	,	PUNCT
american_scientific_journal-2957	331	6	a	a	DET
american_scientific_journal-2957	331	7	practical	practical	ADJ
american_scientific_journal-2957	331	8	guide	guide	NOUN
american_scientific_journal-2957	331	9	to	to	PART
american_scientific_journal-2957	331	10	spline	spline	VERB
american_scientific_journal-2957	331	11	,	,	PUNCT
american_scientific_journal-2957	331	12	springer	springer	NOUN
american_scientific_journal-2957	331	13	verlag	verlag	PROPN
american_scientific_journal-2957	331	14	,	,	PUNCT
american_scientific_journal-2957	331	15	new	new	PROPN
american_scientific_journal-2957	331	16	york	york	PROPN
american_scientific_journal-2957	331	17	,	,	PUNCT
american_scientific_journal-2957	331	18	1978	1978	NUM
american_scientific_journal-2957	331	19	.	.	PUNCT
american_scientific_journal-2957	332	1	[	[	X
american_scientific_journal-2957	332	2	4	4	NUM
american_scientific_journal-2957	332	3	]	]	PUNCT
american_scientific_journal-2957	332	4	.	.	PUNCT
american_scientific_journal-2957	332	5	a.	a.	PROPN
american_scientific_journal-2957	332	6	kumar	kumar	PROPN
american_scientific_journal-2957	332	7	and	and	CCONJ
american_scientific_journal-2957	332	8	v.	v.	PROPN
american_scientific_journal-2957	332	9	n.	n.	PROPN
american_scientific_journal-2957	332	10	jha	jha	PROPN
american_scientific_journal-2957	332	11	,	,	PUNCT
american_scientific_journal-2957	332	12	odd	odd	ADJ
american_scientific_journal-2957	332	13	degree	degree	NOUN
american_scientific_journal-2957	332	14	deficient	deficient	ADJ
american_scientific_journal-2957	332	15	splines	spline	NOUN
american_scientific_journal-2957	332	16	,	,	PUNCT
american_scientific_journal-2957	332	17	proc	proc	NOUN
american_scientific_journal-2957	332	18	.	.	PUNCT
american_scientific_journal-2957	333	1	on	on	ADP
american_scientific_journal-2957	333	2	wavelet	wavelet	NOUN
american_scientific_journal-2957	333	3	analysis	analysis	NOUN
american_scientific_journal-2957	333	4	and	and	CCONJ
american_scientific_journal-2957	333	5	applications	application	NOUN
american_scientific_journal-2957	333	6	,	,	PUNCT
american_scientific_journal-2957	333	7	narosa	narosa	PROPN
american_scientific_journal-2957	333	8	pub	pub	NOUN
american_scientific_journal-2957	333	9	.	.	PUNCT
american_scientific_journal-2957	334	1	2002	2002	NUM
american_scientific_journal-2957	334	2	,	,	PUNCT
american_scientific_journal-2957	334	3	131	131	NUM
american_scientific_journal-2957	334	4	-	-	SYM
american_scientific_journal-2957	334	5	140	140	NUM
american_scientific_journal-2957	334	6	.	.	PUNCT
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american_scientific_journal-2957	335	2	5	5	NUM
american_scientific_journal-2957	335	3	]	]	PUNCT
american_scientific_journal-2957	335	4	.	.	PUNCT
american_scientific_journal-2957	335	5	m.	m.	PROPN
american_scientific_journal-2957	335	6	n.	n.	PROPN
american_scientific_journal-2957	335	7	el	el	PROPN
american_scientific_journal-2957	335	8	.	.	PROPN
american_scientific_journal-2957	335	9	tarazi	tarazi	PROPN
american_scientific_journal-2957	335	10	and	and	CCONJ
american_scientific_journal-2957	335	11	a.	a.	NOUN
american_scientific_journal-2957	335	12	a.	a.	NOUN
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american_scientific_journal-2957	335	14	,	,	PUNCT
american_scientific_journal-2957	335	15	on	on	ADP
american_scientific_journal-2957	335	16	even	even	ADV
american_scientific_journal-2957	335	17	degree	degree	NOUN
american_scientific_journal-2957	335	18	splines	spline	NOUN
american_scientific_journal-2957	335	19	with	with	ADP
american_scientific_journal-2957	335	20	application	application	NOUN
american_scientific_journal-2957	335	21	to	to	ADP
american_scientific_journal-2957	335	22	quadratures	quadrature	NOUN
american_scientific_journal-2957	335	23	,	,	PUNCT
american_scientific_journal-2957	335	24	j.	j.	PROPN
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american_scientific_journal-2957	335	26	.	.	PUNCT
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american_scientific_journal-2957	336	2	,	,	PUNCT
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american_scientific_journal-2957	336	4	)	)	PUNCT
american_scientific_journal-2957	336	5	,	,	PUNCT
american_scientific_journal-2957	336	6	157	157	NUM
american_scientific_journal-2957	336	7	-	-	SYM
american_scientific_journal-2957	336	8	167	167	NUM
american_scientific_journal-2957	336	9	.	.	PUNCT
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american_scientific_journal-2957	337	2	6	6	NUM
american_scientific_journal-2957	337	3	]	]	PUNCT
american_scientific_journal-2957	337	4	.	.	PUNCT
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american_scientific_journal-2957	338	2	n.	n.	PROPN
american_scientific_journal-2957	338	3	el	el	PROPN
american_scientific_journal-2957	338	4	.	.	PROPN
american_scientific_journal-2957	338	5	tarazi	tarazi	PROPN
american_scientific_journal-2957	338	6	and	and	CCONJ
american_scientific_journal-2957	338	7	s.	s.	PROPN
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american_scientific_journal-2957	338	9	,	,	PUNCT
american_scientific_journal-2957	338	10	on	on	ADP
american_scientific_journal-2957	338	11	quartic	quartic	ADJ
american_scientific_journal-2957	338	12	spline	spline	NOUN
american_scientific_journal-2957	338	13	with	with	ADP
american_scientific_journal-2957	338	14	application	application	NOUN
american_scientific_journal-2957	338	15	to	to	ADP
american_scientific_journal-2957	338	16	quadratures	quadrature	NOUN
american_scientific_journal-2957	338	17	,	,	PUNCT
american_scientific_journal-2957	338	18	computing	computing	NOUN
american_scientific_journal-2957	338	19	,	,	PUNCT
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american_scientific_journal-2957	338	21	)	)	PUNCT
american_scientific_journal-2957	338	22	,	,	PUNCT
american_scientific_journal-2957	338	23	355	355	NUM
american_scientific_journal-2957	338	24	-	-	SYM
american_scientific_journal-2957	338	25	361	361	NUM
american_scientific_journal-2957	338	26	.	.	PUNCT
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american_scientific_journal-2957	339	2	7	7	NUM
american_scientific_journal-2957	339	3	]	]	PUNCT
american_scientific_journal-2957	339	4	.	.	PUNCT
american_scientific_journal-2957	339	5	a.	a.	PROPN
american_scientific_journal-2957	339	6	k.	k.	PROPN
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american_scientific_journal-2957	339	8	and	and	CCONJ
american_scientific_journal-2957	339	9	g.	g.	PROPN
american_scientific_journal-2957	339	10	howell	howell	PROPN
american_scientific_journal-2957	339	11	,	,	PUNCT
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american_scientific_journal-2957	339	13	error	error	NOUN
american_scientific_journal-2957	339	14	bounds	bound	NOUN
american_scientific_journal-2957	339	15	for	for	ADP
american_scientific_journal-2957	339	16	derivatives	derivative	NOUN
american_scientific_journal-2957	339	17	in	in	ADP
american_scientific_journal-2957	339	18	two	two	NUM
american_scientific_journal-2957	339	19	point	point	NOUN
american_scientific_journal-2957	339	20	birkhoff	birkhoff	NOUN
american_scientific_journal-2957	339	21	interpolation	interpolation	NOUN
american_scientific_journal-2957	339	22	problems	problem	NOUN
american_scientific_journal-2957	339	23	,	,	PUNCT
american_scientific_journal-2957	339	24	j.	j.	PROPN
american_scientific_journal-2957	339	25	approx	approx	PROPN
american_scientific_journal-2957	339	26	.	.	PUNCT
american_scientific_journal-2957	340	1	theory	theory	NOUN
american_scientific_journal-2957	340	2	,	,	PUNCT
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american_scientific_journal-2957	340	4	)	)	PUNCT
american_scientific_journal-2957	340	5	,	,	PUNCT
american_scientific_journal-2957	340	6	258	258	NUM
american_scientific_journal-2957	340	7	-	-	SYM
american_scientific_journal-2957	340	8	268	268	NUM
american_scientific_journal-2957	340	9	.	.	PUNCT