id	sid	tid	token	lemma	pos
ejpam-728	1	1	9_728_kilicman.dvi	9_728_kilicman.dvi	NUM
ejpam-728	1	2	european	european	ADJ
ejpam-728	1	3	journal	journal	PROPN
ejpam-728	1	4	of	of	ADP
ejpam-728	1	5	pure	pure	ADJ
ejpam-728	1	6	and	and	CCONJ
ejpam-728	1	7	applied	apply	VERB
ejpam-728	1	8	mathematics	mathematic	NOUN
ejpam-728	1	9	vol	vol	NOUN
ejpam-728	1	10	.	.	PROPN
ejpam-728	1	11	4	4	NUM
ejpam-728	1	12	,	,	PUNCT
ejpam-728	1	13	no	no	INTJ
ejpam-728	1	14	.	.	NOUN
ejpam-728	1	15	2	2	NUM
ejpam-728	1	16	,	,	PUNCT
ejpam-728	1	17	2011	2011	NUM
ejpam-728	1	18	,	,	PUNCT
ejpam-728	1	19	174	174	NUM
ejpam-728	1	20	-	-	SYM
ejpam-728	1	21	185	185	NUM
ejpam-728	1	22	issn	issn	PROPN
ejpam-728	1	23	1307	1307	NUM
ejpam-728	1	24	-	-	SYM
ejpam-728	1	25	5543	5543	NUM
ejpam-728	1	26	–	–	PUNCT
ejpam-728	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-728	1	28	on	on	ADP
ejpam-728	1	29	the	the	DET
ejpam-728	1	30	solution	solution	NOUN
ejpam-728	1	31	of	of	ADP
ejpam-728	1	32	fractional	fractional	ADJ
ejpam-728	1	33	order	order	NOUN
ejpam-728	1	34	nonlinear	nonlinear	ADJ
ejpam-728	1	35	boundary	boundary	ADJ
ejpam-728	1	36	value	value	NOUN
ejpam-728	1	37	problems	problem	NOUN
ejpam-728	1	38	by	by	ADP
ejpam-728	1	39	using	use	VERB
ejpam-728	1	40	differential	differential	ADJ
ejpam-728	1	41	transformation	transformation	NOUN
ejpam-728	1	42	method	method	NOUN
ejpam-728	1	43	che	che	PROPN
ejpam-728	1	44	haziqah	haziqah	PROPN
ejpam-728	1	45	che	che	PROPN
ejpam-728	1	46	hussin1	hussin1	PROPN
ejpam-728	2	1	adem	adem	PROPN
ejpam-728	2	2	kılıçman2,∗	kılıçman2,∗	PROPN
ejpam-728	2	3	1	1	NUM
ejpam-728	2	4	department	department	NOUN
ejpam-728	2	5	of	of	ADP
ejpam-728	2	6	mathematics	mathematic	NOUN
ejpam-728	2	7	,	,	PUNCT
ejpam-728	2	8	faculty	faculty	NOUN
ejpam-728	2	9	of	of	ADP
ejpam-728	2	10	science	science	NOUN
ejpam-728	2	11	,	,	PUNCT
ejpam-728	2	12	universiti	universiti	PROPN
ejpam-728	2	13	putra	putra	PROPN
ejpam-728	2	14	malaysia	malaysia	PROPN
ejpam-728	2	15	,	,	PUNCT
ejpam-728	2	16	43400	43400	NUM
ejpam-728	2	17	upm	upm	PROPN
ejpam-728	2	18	,	,	PUNCT
ejpam-728	2	19	serdang	serdang	PROPN
ejpam-728	2	20	,	,	PUNCT
ejpam-728	2	21	selangor	selangor	PROPN
ejpam-728	2	22	,	,	PUNCT
ejpam-728	2	23	malaysia	malaysia	PROPN
ejpam-728	2	24	2	2	NUM
ejpam-728	2	25	department	department	NOUN
ejpam-728	2	26	of	of	ADP
ejpam-728	2	27	mathematics	mathematics	PROPN
ejpam-728	2	28	and	and	CCONJ
ejpam-728	2	29	institute	institute	PROPN
ejpam-728	2	30	for	for	ADP
ejpam-728	2	31	mathematical	mathematical	ADJ
ejpam-728	2	32	research	research	NOUN
ejpam-728	2	33	,	,	PUNCT
ejpam-728	2	34	faculty	faculty	NOUN
ejpam-728	2	35	of	of	ADP
ejpam-728	2	36	science	science	NOUN
ejpam-728	2	37	,	,	PUNCT
ejpam-728	2	38	universiti	universiti	PROPN
ejpam-728	2	39	putra	putra	PROPN
ejpam-728	2	40	malaysia	malaysia	PROPN
ejpam-728	2	41	,	,	PUNCT
ejpam-728	2	42	43400	43400	NUM
ejpam-728	2	43	upm	upm	PROPN
ejpam-728	2	44	,	,	PUNCT
ejpam-728	2	45	serdang	serdang	PROPN
ejpam-728	2	46	,	,	PUNCT
ejpam-728	2	47	selangor	selangor	PROPN
ejpam-728	2	48	,	,	PUNCT
ejpam-728	2	49	malaysia	malaysia	PROPN
ejpam-728	2	50	abstract	abstract	NOUN
ejpam-728	2	51	.	.	PUNCT
ejpam-728	3	1	in	in	ADP
ejpam-728	3	2	this	this	DET
ejpam-728	3	3	research	research	NOUN
ejpam-728	3	4	,	,	PUNCT
ejpam-728	3	5	we	we	PRON
ejpam-728	3	6	study	study	VERB
ejpam-728	3	7	about	about	ADP
ejpam-728	3	8	fractional	fractional	ADJ
ejpam-728	3	9	order	order	NOUN
ejpam-728	3	10	for	for	ADP
ejpam-728	3	11	nonlinear	nonlinear	NOUN
ejpam-728	3	12	of	of	ADP
ejpam-728	3	13	fifth	fifth	ADJ
ejpam-728	3	14	-	-	PUNCT
ejpam-728	3	15	order	order	NOUN
ejpam-728	3	16	boundary	boundary	ADJ
ejpam-728	3	17	value	value	NOUN
ejpam-728	3	18	problems	problem	NOUN
ejpam-728	3	19	and	and	CCONJ
ejpam-728	3	20	produce	produce	VERB
ejpam-728	3	21	a	a	DET
ejpam-728	3	22	theorem	theorem	NOUN
ejpam-728	3	23	for	for	ADP
ejpam-728	3	24	higher	high	ADJ
ejpam-728	3	25	order	order	NOUN
ejpam-728	3	26	of	of	ADP
ejpam-728	3	27	fractional	fractional	NOUN
ejpam-728	3	28	of	of	ADP
ejpam-728	3	29	nth	nth	NOUN
ejpam-728	3	30	-	-	PUNCT
ejpam-728	3	31	order	order	NOUN
ejpam-728	3	32	boundary	boundary	ADJ
ejpam-728	3	33	value	value	NOUN
ejpam-728	3	34	problems	problem	NOUN
ejpam-728	3	35	.	.	PUNCT
ejpam-728	4	1	the	the	DET
ejpam-728	4	2	aim	aim	NOUN
ejpam-728	4	3	of	of	ADP
ejpam-728	4	4	this	this	DET
ejpam-728	4	5	study	study	NOUN
ejpam-728	4	6	was	be	AUX
ejpam-728	4	7	to	to	PART
ejpam-728	4	8	evaluate	evaluate	VERB
ejpam-728	4	9	and	and	CCONJ
ejpam-728	4	10	validate	validate	VERB
ejpam-728	4	11	the	the	DET
ejpam-728	4	12	theorem	theorem	NOUN
ejpam-728	4	13	and	and	CCONJ
ejpam-728	4	14	provide	provide	VERB
ejpam-728	4	15	several	several	ADJ
ejpam-728	4	16	numerical	numerical	ADJ
ejpam-728	4	17	examples	example	NOUN
ejpam-728	4	18	to	to	PART
ejpam-728	4	19	test	test	VERB
ejpam-728	4	20	the	the	DET
ejpam-728	4	21	performance	performance	NOUN
ejpam-728	4	22	of	of	ADP
ejpam-728	4	23	our	our	PRON
ejpam-728	4	24	theorem	theorem	NOUN
ejpam-728	4	25	.	.	PUNCT
ejpam-728	5	1	we	we	PRON
ejpam-728	5	2	also	also	ADV
ejpam-728	5	3	make	make	VERB
ejpam-728	5	4	comparison	comparison	NOUN
ejpam-728	5	5	between	between	ADP
ejpam-728	5	6	exact	exact	ADJ
ejpam-728	5	7	solutions	solution	NOUN
ejpam-728	5	8	and	and	CCONJ
ejpam-728	5	9	differential	differential	ADJ
ejpam-728	5	10	transformation	transformation	NOUN
ejpam-728	5	11	method(dtm	method(dtm	PROPN
ejpam-728	5	12	)	)	PUNCT
ejpam-728	5	13	by	by	ADP
ejpam-728	5	14	calculating	calculate	VERB
ejpam-728	5	15	the	the	DET
ejpam-728	5	16	error	error	NOUN
ejpam-728	5	17	between	between	ADP
ejpam-728	5	18	them	they	PRON
ejpam-728	5	19	.	.	PUNCT
ejpam-728	6	1	it	it	PRON
ejpam-728	6	2	is	be	AUX
ejpam-728	6	3	shown	show	VERB
ejpam-728	6	4	that	that	SCONJ
ejpam-728	6	5	dtm	dtm	PROPN
ejpam-728	6	6	has	have	VERB
ejpam-728	6	7	very	very	ADV
ejpam-728	6	8	small	small	ADJ
ejpam-728	6	9	error	error	NOUN
ejpam-728	6	10	and	and	CCONJ
ejpam-728	6	11	suitable	suitable	ADJ
ejpam-728	6	12	in	in	ADP
ejpam-728	6	13	several	several	ADJ
ejpam-728	6	14	numerical	numerical	ADJ
ejpam-728	6	15	solutions	solution	NOUN
ejpam-728	6	16	since	since	SCONJ
ejpam-728	6	17	it	it	PRON
ejpam-728	6	18	is	be	AUX
ejpam-728	6	19	effective	effective	ADJ
ejpam-728	6	20	and	and	CCONJ
ejpam-728	6	21	provide	provide	VERB
ejpam-728	6	22	high	high	ADJ
ejpam-728	6	23	accuracy	accuracy	NOUN
ejpam-728	6	24	.	.	PUNCT
ejpam-728	7	1	2000	2000	NUM
ejpam-728	7	2	mathematics	mathematic	NOUN
ejpam-728	7	3	subject	subject	NOUN
ejpam-728	7	4	classifications	classification	NOUN
ejpam-728	7	5	:	:	PUNCT
ejpam-728	7	6	35c10,74s30	35c10,74s30	NUM
ejpam-728	7	7	,	,	PUNCT
ejpam-728	7	8	65l10	65l10	NUM
ejpam-728	7	9	,	,	PUNCT
ejpam-728	7	10	34b05	34b05	NUM
ejpam-728	7	11	,	,	PUNCT
ejpam-728	7	12	34b15	34b15	NUM
ejpam-728	7	13	key	key	ADJ
ejpam-728	7	14	words	word	NOUN
ejpam-728	7	15	and	and	CCONJ
ejpam-728	7	16	phrases	phrase	NOUN
ejpam-728	7	17	:	:	PUNCT
ejpam-728	7	18	differential	differential	ADJ
ejpam-728	7	19	transformation	transformation	NOUN
ejpam-728	7	20	method	method	NOUN
ejpam-728	7	21	,	,	PUNCT
ejpam-728	7	22	taylor	taylor	PROPN
ejpam-728	7	23	series	series	PROPN
ejpam-728	7	24	,	,	PUNCT
ejpam-728	7	25	fractional	fractional	ADJ
ejpam-728	7	26	order	order	NOUN
ejpam-728	7	27	of	of	ADP
ejpam-728	7	28	nonlinear	nonlinear	ADJ
ejpam-728	7	29	boundary	boundary	ADJ
ejpam-728	7	30	value	value	NOUN
ejpam-728	7	31	problems	problem	NOUN
ejpam-728	7	32	1	1	NUM
ejpam-728	7	33	.	.	PUNCT
ejpam-728	8	1	introduction	introduction	NOUN
ejpam-728	8	2	recently	recently	ADV
ejpam-728	8	3	,	,	PUNCT
ejpam-728	8	4	there	there	PRON
ejpam-728	8	5	has	have	AUX
ejpam-728	8	6	been	be	AUX
ejpam-728	8	7	an	an	DET
ejpam-728	8	8	increasing	increase	VERB
ejpam-728	8	9	interest	interest	NOUN
ejpam-728	8	10	in	in	ADP
ejpam-728	8	11	differential	differential	ADJ
ejpam-728	8	12	transformation	transformation	NOUN
ejpam-728	8	13	method	method	NOUN
ejpam-728	8	14	to	to	PART
ejpam-728	8	15	solve	solve	VERB
ejpam-728	8	16	ordinary	ordinary	ADJ
ejpam-728	8	17	differential	differential	ADJ
ejpam-728	8	18	equations	equation	NOUN
ejpam-728	8	19	,	,	PUNCT
ejpam-728	8	20	partial	partial	ADJ
ejpam-728	8	21	differential	differential	NOUN
ejpam-728	8	22	equations	equation	NOUN
ejpam-728	8	23	as	as	ADV
ejpam-728	8	24	well	well	ADV
ejpam-728	8	25	as	as	ADP
ejpam-728	8	26	the	the	DET
ejpam-728	8	27	integral	integral	ADJ
ejpam-728	8	28	equations	equation	NOUN
ejpam-728	8	29	.	.	PUNCT
ejpam-728	9	1	for	for	ADP
ejpam-728	9	2	details	detail	NOUN
ejpam-728	9	3	,	,	PUNCT
ejpam-728	9	4	see	see	VERB
ejpam-728	9	5	[	[	X
ejpam-728	9	6	1	1	NUM
ejpam-728	9	7	,	,	PUNCT
ejpam-728	9	8	3	3	NUM
ejpam-728	9	9	,	,	PUNCT
ejpam-728	9	10	4	4	NUM
ejpam-728	9	11	,	,	PUNCT
ejpam-728	9	12	6	6	NUM
ejpam-728	9	13	]	]	PUNCT
ejpam-728	9	14	and	and	CCONJ
ejpam-728	9	15	[	[	X
ejpam-728	9	16	7	7	NUM
ejpam-728	9	17	]	]	PUNCT
ejpam-728	9	18	.	.	PUNCT
ejpam-728	10	1	it	it	PRON
ejpam-728	10	2	is	be	AUX
ejpam-728	10	3	also	also	ADV
ejpam-728	10	4	known	know	VERB
ejpam-728	10	5	that	that	SCONJ
ejpam-728	10	6	the	the	DET
ejpam-728	10	7	dtm	dtm	PROPN
ejpam-728	10	8	concept	concept	NOUN
ejpam-728	10	9	was	be	AUX
ejpam-728	10	10	introduced	introduce	VERB
ejpam-728	10	11	by	by	ADP
ejpam-728	10	12	zhou	zhou	PROPN
ejpam-728	10	13	in	in	ADP
ejpam-728	10	14	[	[	X
ejpam-728	10	15	14	14	NUM
ejpam-728	10	16	]	]	PUNCT
ejpam-728	10	17	in	in	ADP
ejpam-728	10	18	order	order	NOUN
ejpam-728	10	19	to	to	PART
ejpam-728	10	20	solve	solve	VERB
ejpam-728	10	21	the	the	DET
ejpam-728	10	22	related	relate	VERB
ejpam-728	10	23	problems	problem	NOUN
ejpam-728	10	24	in	in	ADP
ejpam-728	10	25	electrical	electrical	ADJ
ejpam-728	10	26	circuit	circuit	NOUN
ejpam-728	10	27	analysis	analysis	NOUN
ejpam-728	10	28	for	for	ADP
ejpam-728	10	29	linear	linear	ADJ
ejpam-728	10	30	and	and	CCONJ
ejpam-728	10	31	nonlinear	nonlinear	ADJ
ejpam-728	10	32	initial	initial	ADJ
ejpam-728	10	33	value	value	NOUN
ejpam-728	10	34	problems	problem	NOUN
ejpam-728	10	35	.	.	PUNCT
ejpam-728	11	1	since	since	SCONJ
ejpam-728	11	2	then	then	ADV
ejpam-728	11	3	dtm	dtm	PROPN
ejpam-728	11	4	was	be	AUX
ejpam-728	11	5	applied	apply	VERB
ejpam-728	11	6	to	to	ADP
ejpam-728	11	7	several	several	ADJ
ejpam-728	11	8	different	different	ADJ
ejpam-728	11	9	problems	problem	NOUN
ejpam-728	11	10	in	in	ADP
ejpam-728	11	11	linear	linear	PROPN
ejpam-728	11	12	and	and	CCONJ
ejpam-728	11	13	nonlinear	nonlinear	ADJ
ejpam-728	11	14	boundary	boundary	ADJ
ejpam-728	11	15	value	value	NOUN
ejpam-728	11	16	problems	problem	NOUN
ejpam-728	11	17	and	and	CCONJ
ejpam-728	11	18	also	also	ADV
ejpam-728	11	19	seems	seem	VERB
ejpam-728	11	20	that	that	SCONJ
ejpam-728	11	21	the	the	DET
ejpam-728	11	22	method	method	NOUN
ejpam-728	11	23	is	be	AUX
ejpam-728	11	24	easy	easy	ADJ
ejpam-728	11	25	to	to	PART
ejpam-728	11	26	perform	perform	VERB
ejpam-728	11	27	to	to	PART
ejpam-728	11	28	solve	solve	VERB
ejpam-728	11	29	problem	problem	NOUN
ejpam-728	11	30	numerically	numerically	ADV
ejpam-728	11	31	,	,	PUNCT
ejpam-728	11	32	for	for	ADP
ejpam-728	11	33	example	example	NOUN
ejpam-728	11	34	,	,	PUNCT
ejpam-728	11	35	see	see	VERB
ejpam-728	11	36	[	[	X
ejpam-728	11	37	9	9	NUM
ejpam-728	11	38	,	,	PUNCT
ejpam-728	11	39	8	8	NUM
ejpam-728	11	40	,	,	PUNCT
ejpam-728	11	41	11	11	NUM
ejpam-728	11	42	]	]	PUNCT
ejpam-728	11	43	and	and	CCONJ
ejpam-728	12	1	[	[	X
ejpam-728	12	2	12	12	NUM
ejpam-728	12	3	]	]	PUNCT
ejpam-728	12	4	.	.	PUNCT
ejpam-728	13	1	the	the	DET
ejpam-728	13	2	dtm	dtm	PROPN
ejpam-728	13	3	is	be	AUX
ejpam-728	13	4	approximation	approximation	NOUN
ejpam-728	13	5	to	to	ADP
ejpam-728	13	6	exact	exact	ADJ
ejpam-728	13	7	solutions	solution	NOUN
ejpam-728	13	8	which	which	PRON
ejpam-728	13	9	are	be	AUX
ejpam-728	13	10	differentiable	differentiable	ADJ
ejpam-728	13	11	and	and	CCONJ
ejpam-728	13	12	it	it	PRON
ejpam-728	13	13	has	have	VERB
ejpam-728	13	14	very	very	ADV
ejpam-728	13	15	high	high	ADJ
ejpam-728	13	16	accuracy	accuracy	NOUN
ejpam-728	13	17	with	with	ADP
ejpam-728	13	18	minor	minor	ADJ
ejpam-728	13	19	error	error	NOUN
ejpam-728	13	20	.	.	PUNCT
ejpam-728	14	1	this	this	DET
ejpam-728	14	2	method	method	NOUN
ejpam-728	14	3	is	be	AUX
ejpam-728	14	4	different	different	ADJ
ejpam-728	14	5	with	with	ADP
ejpam-728	14	6	the	the	DET
ejpam-728	14	7	traditional	traditional	ADJ
ejpam-728	14	8	high	high	ADJ
ejpam-728	14	9	order	order	NOUN
ejpam-728	14	10	taylor	taylor	PROPN
ejpam-728	14	11	∗corresponding	∗corresponde	VERB
ejpam-728	14	12	author	author	NOUN
ejpam-728	14	13	.	.	PUNCT
ejpam-728	15	1	email	email	NOUN
ejpam-728	15	2	addresses	address	NOUN
ejpam-728	15	3	:	:	PUNCT
ejpam-728	15	4	akili	akili	NOUN
ejpam-728	15	5	man�putra.upm.edu.my	man�putra.upm.edu.my	NOUN
ejpam-728	15	6	(	(	PUNCT
ejpam-728	15	7	a.	a.	NOUN
ejpam-728	15	8	kılıçman	kılıçman	PROPN
ejpam-728	15	9	)	)	PUNCT
ejpam-728	15	10	,	,	PUNCT
ejpam-728	15	11	haziqah�math.upm.edu.my	haziqah�math.upm.edu.my	PROPN
ejpam-728	15	12	(	(	PUNCT
ejpam-728	15	13	c.	c.	PROPN
ejpam-728	15	14	hussin	hussin	PROPN
ejpam-728	15	15	)	)	PUNCT
ejpam-728	15	16	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-728	16	1	174	174	NUM
ejpam-728	16	2	c	c	NOUN
ejpam-728	16	3	©	©	PROPN
ejpam-728	16	4	2011	2011	NUM
ejpam-728	16	5	ejpam	ejpam	VERB
ejpam-728	16	6	all	all	DET
ejpam-728	16	7	rights	right	NOUN
ejpam-728	16	8	reserved	reserve	VERB
ejpam-728	16	9	.	.	PUNCT
ejpam-728	17	1	c.	c.	PROPN
ejpam-728	17	2	hussin	hussin	PROPN
ejpam-728	17	3	,	,	PUNCT
ejpam-728	17	4	a.	a.	PROPN
ejpam-728	17	5	kılıçman	kılıçman	PROPN
ejpam-728	17	6	/	/	SYM
ejpam-728	17	7	eur	eur	PROPN
ejpam-728	17	8	.	.	PUNCT
ejpam-728	18	1	j.	j.	PROPN
ejpam-728	18	2	pure	pure	PROPN
ejpam-728	18	3	appl	appl	PROPN
ejpam-728	18	4	.	.	PROPN
ejpam-728	18	5	math	math	PROPN
ejpam-728	18	6	,	,	PUNCT
ejpam-728	18	7	4	4	NUM
ejpam-728	18	8	(	(	PUNCT
ejpam-728	18	9	2011	2011	NUM
ejpam-728	18	10	)	)	PUNCT
ejpam-728	18	11	,	,	PUNCT
ejpam-728	18	12	174	174	NUM
ejpam-728	18	13	-	-	SYM
ejpam-728	18	14	185	185	NUM
ejpam-728	18	15	175	175	NUM
ejpam-728	18	16	series	series	NOUN
ejpam-728	18	17	since	since	SCONJ
ejpam-728	18	18	high	high	ADJ
ejpam-728	18	19	order	order	NOUN
ejpam-728	18	20	of	of	ADP
ejpam-728	18	21	the	the	DET
ejpam-728	18	22	taylor	taylor	PROPN
ejpam-728	18	23	series	series	PROPN
ejpam-728	18	24	needs	need	VERB
ejpam-728	18	25	a	a	DET
ejpam-728	18	26	long	long	ADJ
ejpam-728	18	27	time	time	NOUN
ejpam-728	18	28	in	in	ADP
ejpam-728	18	29	computation	computation	NOUN
ejpam-728	18	30	and	and	CCONJ
ejpam-728	18	31	it	it	PRON
ejpam-728	18	32	requires	require	VERB
ejpam-728	18	33	the	the	DET
ejpam-728	18	34	computation	computation	NOUN
ejpam-728	18	35	of	of	ADP
ejpam-728	18	36	the	the	DET
ejpam-728	18	37	necessary	necessary	ADJ
ejpam-728	18	38	derivatives	derivative	NOUN
ejpam-728	18	39	[	[	X
ejpam-728	18	40	13	13	NUM
ejpam-728	18	41	]	]	PUNCT
ejpam-728	18	42	.	.	PUNCT
ejpam-728	19	1	the	the	DET
ejpam-728	19	2	dtm	dtm	PROPN
ejpam-728	19	3	can	can	AUX
ejpam-728	19	4	be	be	AUX
ejpam-728	19	5	applied	apply	VERB
ejpam-728	19	6	in	in	ADP
ejpam-728	19	7	the	the	DET
ejpam-728	19	8	high	high	ADJ
ejpam-728	19	9	order	order	NOUN
ejpam-728	19	10	differential	differential	NOUN
ejpam-728	19	11	equations	equation	NOUN
ejpam-728	19	12	and	and	CCONJ
ejpam-728	19	13	it	it	PRON
ejpam-728	19	14	is	be	AUX
ejpam-728	19	15	an	an	DET
ejpam-728	19	16	alternative	alternative	ADJ
ejpam-728	19	17	way	way	NOUN
ejpam-728	19	18	to	to	PART
ejpam-728	19	19	get	get	VERB
ejpam-728	19	20	taylor	taylor	PROPN
ejpam-728	19	21	series	series	PROPN
ejpam-728	19	22	solution	solution	NOUN
ejpam-728	19	23	for	for	ADP
ejpam-728	19	24	the	the	DET
ejpam-728	19	25	given	give	VERB
ejpam-728	19	26	differential	differential	ADJ
ejpam-728	19	27	equations	equation	NOUN
ejpam-728	19	28	.	.	PUNCT
ejpam-728	20	1	this	this	DET
ejpam-728	20	2	method	method	NOUN
ejpam-728	20	3	finally	finally	ADV
ejpam-728	20	4	gives	give	VERB
ejpam-728	20	5	series	series	NOUN
ejpam-728	20	6	solution	solution	NOUN
ejpam-728	20	7	but	but	CCONJ
ejpam-728	20	8	truncated	truncated	ADJ
ejpam-728	20	9	series	series	NOUN
ejpam-728	20	10	solution	solution	NOUN
ejpam-728	20	11	in	in	ADP
ejpam-728	20	12	practice	practice	NOUN
ejpam-728	20	13	.	.	PUNCT
ejpam-728	21	1	in	in	ADP
ejpam-728	21	2	addition	addition	NOUN
ejpam-728	21	3	,	,	PUNCT
ejpam-728	21	4	the	the	DET
ejpam-728	21	5	series	series	NOUN
ejpam-728	21	6	of	of	ADP
ejpam-728	21	7	the	the	DET
ejpam-728	21	8	method	method	NOUN
ejpam-728	21	9	always	always	ADV
ejpam-728	21	10	coincides	coincide	VERB
ejpam-728	21	11	with	with	ADP
ejpam-728	21	12	the	the	DET
ejpam-728	21	13	taylor	taylor	PROPN
ejpam-728	21	14	expansion	expansion	NOUN
ejpam-728	21	15	of	of	ADP
ejpam-728	21	16	true	true	ADJ
ejpam-728	21	17	solution	solution	NOUN
ejpam-728	21	18	because	because	SCONJ
ejpam-728	21	19	it	it	PRON
ejpam-728	21	20	has	have	VERB
ejpam-728	21	21	very	very	ADV
ejpam-728	21	22	small	small	ADJ
ejpam-728	21	23	error	error	NOUN
ejpam-728	21	24	.	.	PUNCT
ejpam-728	22	1	ayaz	ayaz	PROPN
ejpam-728	23	1	[	[	X
ejpam-728	23	2	2	2	NUM
ejpam-728	23	3	]	]	PUNCT
ejpam-728	23	4	,	,	PUNCT
ejpam-728	23	5	was	be	AUX
ejpam-728	23	6	studied	study	VERB
ejpam-728	23	7	in	in	ADP
ejpam-728	23	8	application	application	NOUN
ejpam-728	23	9	of	of	ADP
ejpam-728	23	10	two	two	NUM
ejpam-728	23	11	-	-	PUNCT
ejpam-728	23	12	dimensional	dimensional	ADJ
ejpam-728	23	13	dtm	dtm	NOUN
ejpam-728	23	14	in	in	ADP
ejpam-728	23	15	partial	partial	ADJ
ejpam-728	23	16	differential	differential	ADJ
ejpam-728	23	17	equations	equation	NOUN
ejpam-728	23	18	and	and	CCONJ
ejpam-728	23	19	borhanifar	borhanifar	ADJ
ejpam-728	23	20	and	and	CCONJ
ejpam-728	23	21	abazari	abazari	ADJ
ejpam-728	23	22	[	[	X
ejpam-728	23	23	5	5	NUM
ejpam-728	23	24	]	]	PUNCT
ejpam-728	23	25	was	be	AUX
ejpam-728	23	26	also	also	ADV
ejpam-728	23	27	studied	study	VERB
ejpam-728	23	28	for	for	ADP
ejpam-728	23	29	two	two	NUM
ejpam-728	23	30	-	-	PUNCT
ejpam-728	23	31	dimensional	dimensional	ADJ
ejpam-728	23	32	and	and	CCONJ
ejpam-728	23	33	three	three	NUM
ejpam-728	23	34	-	-	PUNCT
ejpam-728	23	35	dimensional	dimensional	ADJ
ejpam-728	23	36	dtm	dtm	NOUN
ejpam-728	23	37	in	in	ADP
ejpam-728	23	38	partial	partial	ADJ
ejpam-728	23	39	differential	differential	ADJ
ejpam-728	23	40	equations	equation	NOUN
ejpam-728	23	41	.	.	PUNCT
ejpam-728	24	1	recently	recently	ADV
ejpam-728	24	2	,	,	PUNCT
ejpam-728	24	3	the	the	DET
ejpam-728	24	4	authors	author	NOUN
ejpam-728	24	5	studied	study	VERB
ejpam-728	24	6	the	the	DET
ejpam-728	24	7	higher	high	ADJ
ejpam-728	24	8	-	-	PUNCT
ejpam-728	24	9	order	order	NOUN
ejpam-728	24	10	boundary	boundary	ADJ
ejpam-728	24	11	value	value	NOUN
ejpam-728	24	12	problems	problem	NOUN
ejpam-728	24	13	for	for	ADP
ejpam-728	24	14	higher	high	ADJ
ejpam-728	24	15	-	-	PUNCT
ejpam-728	24	16	order	order	NOUN
ejpam-728	24	17	nonlinear	nonlinear	ADJ
ejpam-728	24	18	differential	differential	ADJ
ejpam-728	24	19	equation	equation	NOUN
ejpam-728	24	20	and	and	CCONJ
ejpam-728	24	21	further	far	ADV
ejpam-728	24	22	made	make	VERB
ejpam-728	24	23	a	a	DET
ejpam-728	24	24	comparison	comparison	NOUN
ejpam-728	24	25	among	among	ADP
ejpam-728	24	26	differential	differential	ADJ
ejpam-728	24	27	transformation	transformation	NOUN
ejpam-728	24	28	method	method	NOUN
ejpam-728	24	29	and	and	CCONJ
ejpam-728	24	30	adomian	adomian	NOUN
ejpam-728	24	31	decomposition	decomposition	NOUN
ejpam-728	24	32	method	method	NOUN
ejpam-728	24	33	,	,	PUNCT
ejpam-728	24	34	and	and	CCONJ
ejpam-728	24	35	exact	exact	ADJ
ejpam-728	24	36	solutions	solution	NOUN
ejpam-728	24	37	,	,	PUNCT
ejpam-728	24	38	see	see	VERB
ejpam-728	24	39	[	[	X
ejpam-728	24	40	10	10	NUM
ejpam-728	24	41	]	]	PUNCT
ejpam-728	24	42	.	.	PUNCT
ejpam-728	25	1	the	the	DET
ejpam-728	25	2	basic	basic	ADJ
ejpam-728	25	3	definitions	definition	NOUN
ejpam-728	25	4	and	and	CCONJ
ejpam-728	25	5	operations	operation	NOUN
ejpam-728	25	6	of	of	ADP
ejpam-728	25	7	differential	differential	ADJ
ejpam-728	25	8	transformation	transformation	NOUN
ejpam-728	25	9	method	method	NOUN
ejpam-728	25	10	is	be	AUX
ejpam-728	25	11	discussed	discuss	VERB
ejpam-728	25	12	in	in	ADP
ejpam-728	25	13	section	section	NOUN
ejpam-728	25	14	2	2	NUM
ejpam-728	25	15	.	.	PUNCT
ejpam-728	26	1	the	the	DET
ejpam-728	26	2	proposed	propose	VERB
ejpam-728	26	3	theorems	theorem	NOUN
ejpam-728	26	4	and	and	CCONJ
ejpam-728	26	5	methodology	methodology	NOUN
ejpam-728	26	6	will	will	AUX
ejpam-728	26	7	be	be	AUX
ejpam-728	26	8	described	describe	VERB
ejpam-728	26	9	in	in	ADP
ejpam-728	26	10	section	section	NOUN
ejpam-728	26	11	3	3	NUM
ejpam-728	26	12	.	.	PUNCT
ejpam-728	27	1	in	in	ADP
ejpam-728	27	2	section	section	NOUN
ejpam-728	27	3	4	4	NUM
ejpam-728	27	4	,	,	PUNCT
ejpam-728	27	5	we	we	PRON
ejpam-728	27	6	provide	provide	VERB
ejpam-728	27	7	several	several	ADJ
ejpam-728	27	8	numerical	numerical	ADJ
ejpam-728	27	9	examples	example	NOUN
ejpam-728	27	10	to	to	PART
ejpam-728	27	11	prove	prove	VERB
ejpam-728	27	12	that	that	SCONJ
ejpam-728	27	13	the	the	DET
ejpam-728	27	14	dtm	dtm	PROPN
ejpam-728	27	15	has	have	VERB
ejpam-728	27	16	high	high	ADJ
ejpam-728	27	17	accuracy.in	accuracy.in	NOUN
ejpam-728	27	18	addition	addition	NOUN
ejpam-728	27	19	,	,	PUNCT
ejpam-728	27	20	result	result	NOUN
ejpam-728	27	21	is	be	AUX
ejpam-728	27	22	displayed	display	VERB
ejpam-728	27	23	in	in	ADP
ejpam-728	27	24	section	section	NOUN
ejpam-728	27	25	5	5	NUM
ejpam-728	27	26	and	and	CCONJ
ejpam-728	27	27	finally	finally	ADV
ejpam-728	27	28	the	the	DET
ejpam-728	27	29	conclusion	conclusion	NOUN
ejpam-728	27	30	had	have	AUX
ejpam-728	27	31	made	make	VERB
ejpam-728	27	32	in	in	ADP
ejpam-728	27	33	section	section	NOUN
ejpam-728	27	34	6	6	NUM
ejpam-728	27	35	.	.	PUNCT
ejpam-728	28	1	we	we	PRON
ejpam-728	28	2	introduced	introduce	VERB
ejpam-728	28	3	new	new	ADJ
ejpam-728	28	4	theorem	theorem	NOUN
ejpam-728	28	5	and	and	CCONJ
ejpam-728	28	6	proved	prove	VERB
ejpam-728	28	7	the	the	DET
ejpam-728	28	8	theorem	theorem	NOUN
ejpam-728	28	9	.	.	PUNCT
ejpam-728	29	1	this	this	DET
ejpam-728	29	2	theorem	theorem	NOUN
ejpam-728	29	3	is	be	AUX
ejpam-728	29	4	about	about	ADP
ejpam-728	29	5	fractional	fractional	ADJ
ejpam-728	29	6	order	order	NOUN
ejpam-728	29	7	of	of	ADP
ejpam-728	29	8	nonlinear	nonlinear	ADJ
ejpam-728	29	9	function	function	NOUN
ejpam-728	29	10	.	.	PUNCT
ejpam-728	30	1	by	by	ADP
ejpam-728	30	2	using	use	VERB
ejpam-728	30	3	this	this	DET
ejpam-728	30	4	theorem	theorem	NOUN
ejpam-728	30	5	,	,	PUNCT
ejpam-728	30	6	we	we	PRON
ejpam-728	30	7	can	can	AUX
ejpam-728	30	8	solve	solve	VERB
ejpam-728	30	9	the	the	DET
ejpam-728	30	10	higher	high	ADJ
ejpam-728	30	11	order	order	NOUN
ejpam-728	30	12	of	of	ADP
ejpam-728	30	13	fractional	fractional	ADJ
ejpam-728	30	14	order	order	NOUN
ejpam-728	30	15	for	for	ADP
ejpam-728	30	16	nonlinear	nonlinear	ADJ
ejpam-728	30	17	function	function	NOUN
ejpam-728	30	18	easily	easily	ADV
ejpam-728	30	19	,	,	PUNCT
ejpam-728	30	20	more	more	ADV
ejpam-728	30	21	efficient	efficient	ADJ
ejpam-728	30	22	and	and	CCONJ
ejpam-728	30	23	the	the	DET
ejpam-728	30	24	result	result	NOUN
ejpam-728	30	25	is	be	AUX
ejpam-728	30	26	more	more	ADV
ejpam-728	30	27	accurate	accurate	ADJ
ejpam-728	30	28	because	because	SCONJ
ejpam-728	30	29	we	we	PRON
ejpam-728	30	30	generate	generate	VERB
ejpam-728	30	31	general	general	ADJ
ejpam-728	30	32	form	form	NOUN
ejpam-728	30	33	of	of	ADP
ejpam-728	30	34	high	high	ADJ
ejpam-728	30	35	fractional	fractional	ADJ
ejpam-728	30	36	order	order	NOUN
ejpam-728	30	37	for	for	ADP
ejpam-728	30	38	nth	nth	NOUN
ejpam-728	30	39	order	order	NOUN
ejpam-728	30	40	boundary	boundary	ADJ
ejpam-728	30	41	value	value	NOUN
ejpam-728	30	42	problems	problem	NOUN
ejpam-728	30	43	.	.	PUNCT
ejpam-728	31	1	2	2	X
ejpam-728	31	2	.	.	X
ejpam-728	31	3	the	the	DET
ejpam-728	31	4	differential	differential	ADJ
ejpam-728	31	5	transformation	transformation	NOUN
ejpam-728	31	6	method	method	NOUN
ejpam-728	31	7	(	(	PUNCT
ejpam-728	31	8	dtm	dtm	PROPN
ejpam-728	31	9	)	)	PUNCT
ejpam-728	31	10	it	it	PRON
ejpam-728	31	11	is	be	AUX
ejpam-728	31	12	necessary	necessary	ADJ
ejpam-728	31	13	here	here	ADV
ejpam-728	31	14	to	to	PART
ejpam-728	31	15	clarify	clarify	VERB
ejpam-728	31	16	exactly	exactly	ADV
ejpam-728	31	17	what	what	PRON
ejpam-728	31	18	is	be	AUX
ejpam-728	31	19	meant	mean	VERB
ejpam-728	31	20	by	by	ADP
ejpam-728	31	21	the	the	DET
ejpam-728	31	22	differential	differential	ADJ
ejpam-728	31	23	transform	transform	NOUN
ejpam-728	31	24	of	of	ADP
ejpam-728	31	25	the	the	DET
ejpam-728	31	26	function	function	NOUN
ejpam-728	31	27	y(x	y(x	PROPN
ejpam-728	31	28	)	)	PUNCT
ejpam-728	31	29	for	for	ADP
ejpam-728	31	30	the	the	DET
ejpam-728	31	31	kth	kth	PROPN
ejpam-728	31	32	derivative	derivative	NOUN
ejpam-728	31	33	.	.	PUNCT
ejpam-728	32	1	it	it	PRON
ejpam-728	32	2	is	be	AUX
ejpam-728	32	3	defined	define	VERB
ejpam-728	32	4	like	like	ADP
ejpam-728	32	5	the	the	DET
ejpam-728	32	6	following	follow	VERB
ejpam-728	32	7	[	[	X
ejpam-728	32	8	9	9	NUM
ejpam-728	32	9	]	]	SYM
ejpam-728	32	10	:	:	PUNCT
ejpam-728	32	11	y	y	PROPN
ejpam-728	32	12	(	(	PUNCT
ejpam-728	32	13	k	k	NOUN
ejpam-728	32	14	)	)	PUNCT
ejpam-728	32	15	=	=	SYM
ejpam-728	32	16	1	1	NUM
ejpam-728	32	17	k	k	X
ejpam-728	32	18	!	!	PUNCT
ejpam-728	32	19	�	�	PROPN
ejpam-728	32	20	dk	dk	PROPN
ejpam-728	32	21	y(x	y(x	PROPN
ejpam-728	32	22	)	)	PUNCT
ejpam-728	33	1	d	d	X
ejpam-728	33	2	x	x	SYM
ejpam-728	33	3	k	k	PROPN
ejpam-728	33	4	�	�	PROPN
ejpam-728	33	5	x	x	PROPN
ejpam-728	33	6	=	=	NOUN
ejpam-728	33	7	x0	x0	PROPN
ejpam-728	33	8	(	(	PUNCT
ejpam-728	33	9	1	1	NUM
ejpam-728	33	10	)	)	PUNCT
ejpam-728	33	11	where	where	SCONJ
ejpam-728	33	12	y(x	y(x	NOUN
ejpam-728	33	13	)	)	PUNCT
ejpam-728	33	14	is	be	AUX
ejpam-728	33	15	the	the	DET
ejpam-728	33	16	original	original	ADJ
ejpam-728	33	17	function	function	NOUN
ejpam-728	33	18	and	and	CCONJ
ejpam-728	33	19	y	y	PROPN
ejpam-728	33	20	(	(	PUNCT
ejpam-728	33	21	k	k	NOUN
ejpam-728	33	22	)	)	PUNCT
ejpam-728	33	23	is	be	AUX
ejpam-728	33	24	the	the	DET
ejpam-728	33	25	transformed	transform	VERB
ejpam-728	33	26	function	function	NOUN
ejpam-728	33	27	.	.	PUNCT
ejpam-728	34	1	the	the	DET
ejpam-728	34	2	inverse	inverse	NOUN
ejpam-728	34	3	differential	differential	NOUN
ejpam-728	34	4	transform	transform	NOUN
ejpam-728	34	5	of	of	ADP
ejpam-728	34	6	y	y	PROPN
ejpam-728	34	7	(	(	PUNCT
ejpam-728	34	8	k	k	NOUN
ejpam-728	34	9	)	)	PUNCT
ejpam-728	34	10	is	be	AUX
ejpam-728	34	11	defined	define	VERB
ejpam-728	34	12	as	as	ADP
ejpam-728	34	13	y(x	y(x	NOUN
ejpam-728	34	14	)	)	PUNCT
ejpam-728	34	15	=	=	SYM
ejpam-728	35	1	∞	∞	NUM
ejpam-728	35	2	∑	∑	PUNCT
ejpam-728	36	1	k=0	k=0	PROPN
ejpam-728	36	2			PROPN
ejpam-728	36	3			X
ejpam-728	36	4	�	�	PROPN
ejpam-728	36	5	x	x	PUNCT
ejpam-728	36	6	−	−	PROPN
ejpam-728	36	7	x0	x0	PROPN
ejpam-728	36	8	�	�	PROPN
ejpam-728	36	9	k	k	PROPN
ejpam-728	36	10	k	k	PROPN
ejpam-728	36	11	!	!	PUNCT
ejpam-728	37	1			PROPN
ejpam-728	37	2	y	y	X
ejpam-728	37	3	(	(	PUNCT
ejpam-728	37	4	k	k	NOUN
ejpam-728	37	5	)	)	PUNCT
ejpam-728	37	6	(	(	PUNCT
ejpam-728	37	7	2	2	X
ejpam-728	37	8	)	)	PUNCT
ejpam-728	37	9	substitute	substitute	NOUN
ejpam-728	37	10	(	(	PUNCT
ejpam-728	37	11	1	1	NUM
ejpam-728	37	12	)	)	PUNCT
ejpam-728	37	13	into	into	ADP
ejpam-728	37	14	(	(	PUNCT
ejpam-728	37	15	2	2	NUM
ejpam-728	37	16	)	)	PUNCT
ejpam-728	37	17	,	,	PUNCT
ejpam-728	37	18	we	we	PRON
ejpam-728	37	19	will	will	AUX
ejpam-728	37	20	get	get	VERB
ejpam-728	37	21	y(x	y(x	NOUN
ejpam-728	37	22	)	)	PUNCT
ejpam-728	37	23	=	=	SYM
ejpam-728	38	1	∞	∞	NUM
ejpam-728	38	2	∑	∑	PUNCT
ejpam-728	38	3	k=0	k=0	PROPN
ejpam-728	38	4	�	�	PROPN
ejpam-728	38	5	x	x	PUNCT
ejpam-728	38	6	−	−	PROPN
ejpam-728	38	7	x0	x0	PROPN
ejpam-728	38	8	�	�	PROPN
ejpam-728	38	9	k	k	PROPN
ejpam-728	38	10	1	1	NUM
ejpam-728	38	11	k	k	X
ejpam-728	38	12	!	!	PUNCT
ejpam-728	38	13	�	�	PROPN
ejpam-728	39	1	dk	dk	PROPN
ejpam-728	39	2	y(x	y(x	PROPN
ejpam-728	39	3	)	)	PUNCT
ejpam-728	40	1	d	d	X
ejpam-728	40	2	x	x	SYM
ejpam-728	40	3	k	k	PROPN
ejpam-728	40	4	�	�	PROPN
ejpam-728	40	5	x	x	PROPN
ejpam-728	40	6	=	=	NOUN
ejpam-728	40	7	x0	x0	PROPN
ejpam-728	40	8	(	(	PUNCT
ejpam-728	40	9	3	3	NUM
ejpam-728	40	10	)	)	PUNCT
ejpam-728	40	11	which	which	PRON
ejpam-728	40	12	is	be	AUX
ejpam-728	40	13	the	the	DET
ejpam-728	40	14	taylor	taylor	PROPN
ejpam-728	40	15	’s	’s	PART
ejpam-728	40	16	series	series	NOUN
ejpam-728	40	17	for	for	ADP
ejpam-728	40	18	y(x	y(x	NOUN
ejpam-728	40	19	)	)	PUNCT
ejpam-728	40	20	at	at	ADP
ejpam-728	40	21	x	x	X
ejpam-728	40	22	=	=	SYM
ejpam-728	40	23	x0	x0	PROPN
ejpam-728	40	24	.	.	PUNCT
ejpam-728	41	1	the	the	DET
ejpam-728	41	2	following	follow	VERB
ejpam-728	41	3	theorems	theorem	NOUN
ejpam-728	41	4	are	be	AUX
ejpam-728	41	5	easy	easy	ADJ
ejpam-728	41	6	to	to	PART
ejpam-728	41	7	prove	prove	VERB
ejpam-728	41	8	and	and	CCONJ
ejpam-728	41	9	considered	consider	VERB
ejpam-728	41	10	the	the	DET
ejpam-728	41	11	fundamental	fundamental	ADJ
ejpam-728	41	12	operations	operation	NOUN
ejpam-728	41	13	of	of	ADP
ejpam-728	41	14	differential	differential	NOUN
ejpam-728	41	15	transforms	transform	VERB
ejpam-728	41	16	method	method	NOUN
ejpam-728	41	17	(	(	PUNCT
ejpam-728	41	18	dtm	dtm	PROPN
ejpam-728	41	19	)	)	PUNCT
ejpam-728	41	20	.	.	PUNCT
ejpam-728	42	1	c.	c.	PROPN
ejpam-728	42	2	hussin	hussin	PROPN
ejpam-728	42	3	,	,	PUNCT
ejpam-728	42	4	a.	a.	PROPN
ejpam-728	42	5	kılıçman	kılıçman	PROPN
ejpam-728	42	6	/	/	SYM
ejpam-728	42	7	eur	eur	PROPN
ejpam-728	42	8	.	.	PUNCT
ejpam-728	43	1	j.	j.	PROPN
ejpam-728	43	2	pure	pure	PROPN
ejpam-728	43	3	appl	appl	PROPN
ejpam-728	43	4	.	.	PROPN
ejpam-728	43	5	math	math	PROPN
ejpam-728	43	6	,	,	PUNCT
ejpam-728	43	7	4	4	NUM
ejpam-728	43	8	(	(	PUNCT
ejpam-728	43	9	2011	2011	NUM
ejpam-728	43	10	)	)	PUNCT
ejpam-728	43	11	,	,	PUNCT
ejpam-728	43	12	174	174	NUM
ejpam-728	43	13	-	-	SYM
ejpam-728	43	14	185	185	NUM
ejpam-728	43	15	176	176	NUM
ejpam-728	43	16	theorem	theorem	NOUN
ejpam-728	43	17	1	1	NUM
ejpam-728	43	18	.	.	PUNCT
ejpam-728	44	1	if	if	SCONJ
ejpam-728	44	2	t(x	t(x	PROPN
ejpam-728	44	3	)	)	PUNCT
ejpam-728	45	1	=	=	PUNCT
ejpam-728	45	2	r(x)±	r(x)±	X
ejpam-728	45	3	p(x	p(x	PROPN
ejpam-728	45	4	)	)	PUNCT
ejpam-728	45	5	then	then	ADV
ejpam-728	45	6	t	t	PROPN
ejpam-728	45	7	(	(	PUNCT
ejpam-728	45	8	k	k	X
ejpam-728	45	9	)	)	PUNCT
ejpam-728	45	10	=	=	NOUN
ejpam-728	45	11	r(k)±	r(k)±	NUM
ejpam-728	45	12	p(k	p(k	NOUN
ejpam-728	45	13	)	)	PUNCT
ejpam-728	45	14	.	.	PUNCT
ejpam-728	46	1	theorem	theorem	NOUN
ejpam-728	46	2	2	2	NUM
ejpam-728	46	3	.	.	PUNCT
ejpam-728	47	1	if	if	SCONJ
ejpam-728	47	2	t(x	t(x	PROPN
ejpam-728	47	3	)	)	PUNCT
ejpam-728	48	1	=	=	PUNCT
ejpam-728	48	2	αr(x	αr(x	NUM
ejpam-728	48	3	)	)	PUNCT
ejpam-728	48	4	then	then	ADV
ejpam-728	48	5	,	,	PUNCT
ejpam-728	48	6	t	t	PROPN
ejpam-728	48	7	(	(	PUNCT
ejpam-728	48	8	k	k	NOUN
ejpam-728	48	9	)	)	PUNCT
ejpam-728	48	10	=	=	SYM
ejpam-728	48	11	αr(k	αr(k	NOUN
ejpam-728	48	12	)	)	PUNCT
ejpam-728	48	13	.	.	PUNCT
ejpam-728	49	1	theorem	theorem	NOUN
ejpam-728	49	2	3	3	NUM
ejpam-728	49	3	.	.	PUNCT
ejpam-728	50	1	if	if	SCONJ
ejpam-728	50	2	t(x	t(x	PROPN
ejpam-728	50	3	)	)	PUNCT
ejpam-728	51	1	=	=	SYM
ejpam-728	51	2	dr(x	dr(x	X
ejpam-728	51	3	)	)	PUNCT
ejpam-728	52	1	d	d	NOUN
ejpam-728	52	2	x	x	PUNCT
ejpam-728	52	3	then	then	ADV
ejpam-728	52	4	,	,	PUNCT
ejpam-728	52	5	t	t	PROPN
ejpam-728	52	6	(	(	PUNCT
ejpam-728	52	7	k	k	NOUN
ejpam-728	52	8	)	)	PUNCT
ejpam-728	52	9	=	=	SYM
ejpam-728	52	10	(	(	PUNCT
ejpam-728	52	11	k+	k+	PROPN
ejpam-728	52	12	1)r	1)r	NUM
ejpam-728	52	13	(	(	PUNCT
ejpam-728	52	14	k+	k+	NOUN
ejpam-728	52	15	1	1	NUM
ejpam-728	52	16	)	)	PUNCT
ejpam-728	52	17	.	.	PUNCT
ejpam-728	53	1	theorem	theorem	ADJ
ejpam-728	53	2	4	4	NUM
ejpam-728	53	3	.	.	PUNCT
ejpam-728	54	1	if	if	SCONJ
ejpam-728	54	2	t(x	t(x	PROPN
ejpam-728	54	3	)	)	PUNCT
ejpam-728	55	1	=	=	PUNCT
ejpam-728	55	2	d2r(x	d2r(x	PROPN
ejpam-728	55	3	)	)	PUNCT
ejpam-728	56	1	d	d	NOUN
ejpam-728	56	2	x2	x2	PRON
ejpam-728	56	3	then	then	ADV
ejpam-728	56	4	,	,	PUNCT
ejpam-728	56	5	t	t	PROPN
ejpam-728	56	6	(	(	PUNCT
ejpam-728	56	7	k	k	NOUN
ejpam-728	56	8	)	)	PUNCT
ejpam-728	56	9	=	=	SYM
ejpam-728	56	10	(	(	PUNCT
ejpam-728	56	11	k+	k+	NOUN
ejpam-728	56	12	1	1	NUM
ejpam-728	56	13	)	)	PUNCT
ejpam-728	56	14	(	(	PUNCT
ejpam-728	56	15	k+	k+	NOUN
ejpam-728	56	16	2)r	2)r	NUM
ejpam-728	56	17	(	(	PUNCT
ejpam-728	56	18	k+	k+	NOUN
ejpam-728	56	19	2	2	NUM
ejpam-728	56	20	)	)	PUNCT
ejpam-728	56	21	.	.	PUNCT
ejpam-728	57	1	theorem	theorem	NOUN
ejpam-728	57	2	5	5	NUM
ejpam-728	57	3	.	.	PUNCT
ejpam-728	58	1	if	if	SCONJ
ejpam-728	58	2	t(x	t(x	PROPN
ejpam-728	58	3	)	)	PUNCT
ejpam-728	59	1	=	=	PUNCT
ejpam-728	60	1	d	d	X
ejpam-728	60	2	b	b	X
ejpam-728	60	3	r(x	r(x	PROPN
ejpam-728	60	4	)	)	PUNCT
ejpam-728	60	5	d	d	X
ejpam-728	60	6	x	x	SYM
ejpam-728	60	7	b	b	NOUN
ejpam-728	60	8	then	then	ADV
ejpam-728	60	9	,	,	PUNCT
ejpam-728	60	10	t	t	PROPN
ejpam-728	60	11	(	(	PUNCT
ejpam-728	60	12	k	k	NOUN
ejpam-728	60	13	)	)	PUNCT
ejpam-728	60	14	=	=	SYM
ejpam-728	60	15	(	(	PUNCT
ejpam-728	60	16	k+	k+	NOUN
ejpam-728	60	17	1	1	NUM
ejpam-728	60	18	)	)	PUNCT
ejpam-728	60	19	(	(	PUNCT
ejpam-728	60	20	k+	k+	NOUN
ejpam-728	60	21	2	2	NUM
ejpam-728	60	22	)	)	PUNCT
ejpam-728	60	23	.	.	PUNCT
ejpam-728	60	24	.	.	PUNCT
ejpam-728	60	25	.	.	PUNCT
ejpam-728	61	1	(	(	PUNCT
ejpam-728	61	2	k+	k+	NOUN
ejpam-728	61	3	b)r	b)r	NOUN
ejpam-728	61	4	(	(	PUNCT
ejpam-728	61	5	k+	k+	NOUN
ejpam-728	61	6	b	b	NOUN
ejpam-728	61	7	)	)	PUNCT
ejpam-728	61	8	.	.	PUNCT
ejpam-728	62	1	theorem	theorem	VERB
ejpam-728	62	2	6	6	NUM
ejpam-728	62	3	.	.	PUNCT
ejpam-728	63	1	if	if	SCONJ
ejpam-728	63	2	t(x	t(x	PROPN
ejpam-728	63	3	)	)	PUNCT
ejpam-728	64	1	=	=	SYM
ejpam-728	64	2	r(x)p(x	r(x)p(x	PROPN
ejpam-728	64	3	)	)	PUNCT
ejpam-728	64	4	then	then	ADV
ejpam-728	64	5	t	t	PROPN
ejpam-728	64	6	(	(	PUNCT
ejpam-728	64	7	k	k	X
ejpam-728	64	8	)	)	PUNCT
ejpam-728	64	9	=	=	SYM
ejpam-728	65	1	∑k	∑k	PROPN
ejpam-728	65	2	l=0	l=0	PROPN
ejpam-728	65	3	p	p	NOUN
ejpam-728	65	4	(	(	PUNCT
ejpam-728	65	5	l)r	l)r	X
ejpam-728	65	6	(	(	PUNCT
ejpam-728	65	7	k−	k−	NOUN
ejpam-728	65	8	l	l	NOUN
ejpam-728	65	9	)	)	PUNCT
ejpam-728	65	10	.	.	PUNCT
ejpam-728	66	1	theorem	theorem	VERB
ejpam-728	66	2	7	7	NUM
ejpam-728	66	3	.	.	PUNCT
ejpam-728	67	1	if	if	SCONJ
ejpam-728	67	2	t(x	t(x	PROPN
ejpam-728	67	3	)	)	PUNCT
ejpam-728	68	1	=	=	PUNCT
ejpam-728	68	2	x	x	SYM
ejpam-728	68	3	b	b	NOUN
ejpam-728	68	4	then	then	ADV
ejpam-728	68	5	t	t	PROPN
ejpam-728	68	6	(	(	PUNCT
ejpam-728	68	7	k	k	NOUN
ejpam-728	68	8	)	)	PUNCT
ejpam-728	68	9	=	=	SYM
ejpam-728	68	10	δ	δ	PROPN
ejpam-728	68	11	(	(	PUNCT
ejpam-728	68	12	k−	k−	PROPN
ejpam-728	68	13	b	b	NOUN
ejpam-728	68	14	)	)	PUNCT
ejpam-728	68	15	where	where	SCONJ
ejpam-728	68	16	,	,	PUNCT
ejpam-728	68	17	δ	δ	PROPN
ejpam-728	68	18	(	(	PUNCT
ejpam-728	68	19	k−	k−	PROPN
ejpam-728	68	20	b	b	NOUN
ejpam-728	68	21	)	)	PUNCT
ejpam-728	68	22	=	=	NOUN
ejpam-728	68	23	¨	¨	NOUN
ejpam-728	68	24	1	1	NUM
ejpam-728	68	25	if	if	SCONJ
ejpam-728	68	26	k	k	PROPN
ejpam-728	68	27	=	=	SYM
ejpam-728	68	28	b	b	PROPN
ejpam-728	68	29	0	0	PUNCT
ejpam-728	68	30	if	if	SCONJ
ejpam-728	68	31	k	k	PROPN
ejpam-728	68	32	6=	6=	PROPN
ejpam-728	68	33	b	b	PROPN
ejpam-728	68	34	theorem	theorem	ADJ
ejpam-728	68	35	8	8	NUM
ejpam-728	68	36	.	.	PUNCT
ejpam-728	69	1	if	if	SCONJ
ejpam-728	69	2	t(x	t(x	PROPN
ejpam-728	69	3	)	)	PUNCT
ejpam-728	70	1	=	=	PUNCT
ejpam-728	71	1	ex	ex	PRON
ejpam-728	71	2	p	p	X
ejpam-728	71	3	(	(	PUNCT
ejpam-728	71	4	λx	λx	NOUN
ejpam-728	71	5	)	)	PUNCT
ejpam-728	71	6	then	then	ADV
ejpam-728	71	7	,	,	PUNCT
ejpam-728	71	8	t	t	PROPN
ejpam-728	71	9	(	(	PUNCT
ejpam-728	71	10	k	k	NOUN
ejpam-728	71	11	)	)	PUNCT
ejpam-728	71	12	=	=	SYM
ejpam-728	72	1	λ	λ	X
ejpam-728	72	2	k	k	PROPN
ejpam-728	72	3	k	k	PROPN
ejpam-728	72	4	!	!	PUNCT
ejpam-728	72	5	theorem	theorem	VERB
ejpam-728	72	6	9	9	NUM
ejpam-728	72	7	.	.	PUNCT
ejpam-728	73	1	if	if	SCONJ
ejpam-728	73	2	t(x	t(x	PROPN
ejpam-728	73	3	)	)	PUNCT
ejpam-728	74	1	=	=	PRON
ejpam-728	74	2	(	(	PUNCT
ejpam-728	74	3	1	1	NUM
ejpam-728	74	4	+	+	CCONJ
ejpam-728	74	5	x)b	x)b	PUNCT
ejpam-728	74	6	then	then	ADV
ejpam-728	74	7	,	,	PUNCT
ejpam-728	74	8	t	t	PROPN
ejpam-728	74	9	(	(	PUNCT
ejpam-728	74	10	k	k	NOUN
ejpam-728	74	11	)	)	PUNCT
ejpam-728	74	12	=	=	SYM
ejpam-728	74	13	b(b−1)	b(b−1)	ADV
ejpam-728	74	14	...	...	PUNCT
ejpam-728	74	15	(b−k+1	(b−k+1	CCONJ
ejpam-728	74	16	)	)	PUNCT
ejpam-728	75	1	k	k	X
ejpam-728	75	2	!	!	PUNCT
ejpam-728	75	3	.	.	PUNCT
ejpam-728	76	1	theorem	theorem	ADJ
ejpam-728	76	2	10	10	NUM
ejpam-728	76	3	.	.	PUNCT
ejpam-728	77	1	if	if	SCONJ
ejpam-728	77	2	t(x	t(x	PROPN
ejpam-728	77	3	)	)	PUNCT
ejpam-728	78	1	=	=	PUNCT
ejpam-728	78	2	sin	sin	PROPN
ejpam-728	78	3	�	�	PROPN
ejpam-728	78	4	j	j	PROPN
ejpam-728	78	5	x	x	PROPN
ejpam-728	79	1	+	+	ADJ
ejpam-728	79	2	α	α	NOUN
ejpam-728	79	3	�	�	PROPN
ejpam-728	79	4	then	then	ADV
ejpam-728	79	5	,	,	PUNCT
ejpam-728	79	6	t	t	PROPN
ejpam-728	79	7	(	(	PUNCT
ejpam-728	79	8	k	k	NOUN
ejpam-728	79	9	)	)	PUNCT
ejpam-728	79	10	=	=	SYM
ejpam-728	79	11	jk	jk	PROPN
ejpam-728	79	12	k	k	PROPN
ejpam-728	79	13	!	!	PROPN
ejpam-728	79	14	sin	sin	PROPN
ejpam-728	79	15	�	�	PROPN
ejpam-728	79	16	πk	πk	ADP
ejpam-728	79	17	2	2	NUM
ejpam-728	79	18	+	+	PROPN
ejpam-728	79	19	α	α	PROPN
ejpam-728	79	20	�	�	PROPN
ejpam-728	79	21	.	.	PUNCT
ejpam-728	80	1	theorem	theorem	VERB
ejpam-728	80	2	11	11	NUM
ejpam-728	80	3	.	.	PUNCT
ejpam-728	81	1	if	if	SCONJ
ejpam-728	81	2	t(x	t(x	PROPN
ejpam-728	81	3	)	)	PUNCT
ejpam-728	82	1	=	=	PUNCT
ejpam-728	82	2	cos	cos	PROPN
ejpam-728	82	3	�	�	PROPN
ejpam-728	82	4	j	j	PROPN
ejpam-728	82	5	x	x	PROPN
ejpam-728	83	1	+	+	ADJ
ejpam-728	83	2	α	α	NOUN
ejpam-728	83	3	�	�	PROPN
ejpam-728	83	4	then	then	ADV
ejpam-728	83	5	,	,	PUNCT
ejpam-728	83	6	t	t	PROPN
ejpam-728	83	7	(	(	PUNCT
ejpam-728	83	8	k	k	NOUN
ejpam-728	83	9	)	)	PUNCT
ejpam-728	83	10	=	=	SYM
ejpam-728	83	11	jk	jk	PROPN
ejpam-728	83	12	k	k	PROPN
ejpam-728	83	13	!	!	PUNCT
ejpam-728	83	14	cos	cos	PROPN
ejpam-728	83	15	�	�	PROPN
ejpam-728	83	16	πk	πk	ADP
ejpam-728	83	17	2	2	NUM
ejpam-728	83	18	+	+	PROPN
ejpam-728	83	19	α	α	PROPN
ejpam-728	83	20	�	�	PROPN
ejpam-728	83	21	.	.	PUNCT
ejpam-728	84	1	2.1	2.1	NUM
ejpam-728	84	2	.	.	X
ejpam-728	84	3	two	two	NUM
ejpam-728	84	4	-	-	PUNCT
ejpam-728	84	5	dimensional	dimensional	ADJ
ejpam-728	84	6	dtm	dtm	NOUN
ejpam-728	84	7	we	we	PRON
ejpam-728	84	8	note	note	VERB
ejpam-728	84	9	that	that	SCONJ
ejpam-728	84	10	the	the	DET
ejpam-728	84	11	differential	differential	ADJ
ejpam-728	84	12	transform	transform	NOUN
ejpam-728	84	13	methods	method	NOUN
ejpam-728	84	14	can	can	AUX
ejpam-728	84	15	easily	easily	ADV
ejpam-728	84	16	be	be	AUX
ejpam-728	84	17	extended	extend	VERB
ejpam-728	84	18	to	to	ADP
ejpam-728	84	19	the	the	DET
ejpam-728	84	20	multiple	multiple	ADJ
ejpam-728	84	21	dimensional	dimensional	ADJ
ejpam-728	84	22	cases	case	NOUN
ejpam-728	84	23	,	,	PUNCT
ejpam-728	84	24	for	for	ADP
ejpam-728	84	25	example	example	NOUN
ejpam-728	84	26	if	if	SCONJ
ejpam-728	84	27	we	we	PRON
ejpam-728	84	28	take	take	VERB
ejpam-728	84	29	a	a	DET
ejpam-728	84	30	function	function	NOUN
ejpam-728	84	31	with	with	ADP
ejpam-728	84	32	two	two	NUM
ejpam-728	84	33	variables	variable	NOUN
ejpam-728	84	34	,	,	PUNCT
ejpam-728	84	35	for	for	ADP
ejpam-728	84	36	instance	instance	NOUN
ejpam-728	84	37	y(x	y(x	PROPN
ejpam-728	84	38	,	,	PUNCT
ejpam-728	84	39	t	t	PROPN
ejpam-728	84	40	)	)	PUNCT
ejpam-728	84	41	having	have	VERB
ejpam-728	84	42	a	a	DET
ejpam-728	84	43	transform	transform	NOUN
ejpam-728	84	44	y	y	PROPN
ejpam-728	84	45	(	(	PUNCT
ejpam-728	84	46	k	k	X
ejpam-728	84	47	,	,	PUNCT
ejpam-728	84	48	j	j	PROPN
ejpam-728	84	49	)	)	PUNCT
ejpam-728	84	50	then	then	ADV
ejpam-728	84	51	two	two	NUM
ejpam-728	84	52	-	-	PUNCT
ejpam-728	84	53	dimensional	dimensional	ADJ
ejpam-728	84	54	differential	differential	ADJ
ejpam-728	84	55	transformation	transformation	NOUN
ejpam-728	84	56	method	method	NOUN
ejpam-728	84	57	can	can	AUX
ejpam-728	84	58	be	be	AUX
ejpam-728	84	59	applied	apply	VERB
ejpam-728	84	60	several	several	ADJ
ejpam-728	84	61	partial	partial	ADJ
ejpam-728	84	62	differential	differential	NOUN
ejpam-728	84	63	equations	equation	NOUN
ejpam-728	84	64	.	.	PUNCT
ejpam-728	85	1	thus	thus	ADV
ejpam-728	85	2	the	the	DET
ejpam-728	85	3	two	two	NUM
ejpam-728	85	4	dimensional	dimensional	ADJ
ejpam-728	85	5	form	form	NOUN
ejpam-728	85	6	of	of	ADP
ejpam-728	85	7	the	the	DET
ejpam-728	85	8	differential	differential	ADJ
ejpam-728	85	9	transform	transform	NOUN
ejpam-728	85	10	methods	method	NOUN
ejpam-728	85	11	is	be	AUX
ejpam-728	85	12	defined	define	VERB
ejpam-728	85	13	as	as	ADP
ejpam-728	85	14	the	the	DET
ejpam-728	85	15	following	following	NOUN
ejpam-728	85	16	:	:	PUNCT
ejpam-728	85	17	y	y	PROPN
ejpam-728	85	18	(	(	PUNCT
ejpam-728	85	19	k	k	X
ejpam-728	85	20	,	,	PUNCT
ejpam-728	85	21	j	j	NOUN
ejpam-728	85	22	)	)	PUNCT
ejpam-728	85	23	=	=	SYM
ejpam-728	85	24	1	1	NUM
ejpam-728	85	25	k	k	NOUN
ejpam-728	85	26	!	!	PUNCT
ejpam-728	85	27	j	j	PROPN
ejpam-728	85	28	!	!	PUNCT
ejpam-728	85	29	�	�	PROPN
ejpam-728	85	30	∂	∂	NUM
ejpam-728	85	31	k+	k+	PROPN
ejpam-728	85	32	j	j	PROPN
ejpam-728	85	33	∂	∂	PROPN
ejpam-728	85	34	x	x	PROPN
ejpam-728	85	35	k∂	k∂	PROPN
ejpam-728	85	36	y	y	PROPN
ejpam-728	85	37	j	j	PROPN
ejpam-728	85	38	y(x	y(x	PROPN
ejpam-728	85	39	,	,	PUNCT
ejpam-728	85	40	t	t	PROPN
ejpam-728	85	41	)	)	PUNCT
ejpam-728	85	42	�	�	PROPN
ejpam-728	85	43	x=0	x=0	NUM
ejpam-728	85	44	y=0	y=0	X
ejpam-728	85	45	(	(	PUNCT
ejpam-728	85	46	4	4	NUM
ejpam-728	85	47	)	)	PUNCT
ejpam-728	85	48	differential	differential	ADJ
ejpam-728	85	49	equation	equation	NOUN
ejpam-728	85	50	in	in	ADP
ejpam-728	85	51	form	form	NOUN
ejpam-728	85	52	of	of	ADP
ejpam-728	85	53	y(x	y(x	PROPN
ejpam-728	85	54	,	,	PUNCT
ejpam-728	85	55	t	t	PROPN
ejpam-728	85	56	)	)	PUNCT
ejpam-728	85	57	is	be	AUX
ejpam-728	85	58	like	like	ADP
ejpam-728	85	59	the	the	DET
ejpam-728	85	60	following	following	NOUN
ejpam-728	85	61	:	:	PUNCT
ejpam-728	85	62	y(x	y(x	PROPN
ejpam-728	85	63	,	,	PUNCT
ejpam-728	85	64	t	t	PROPN
ejpam-728	85	65	)	)	PUNCT
ejpam-728	85	66	=	=	SYM
ejpam-728	86	1	∞	∞	NUM
ejpam-728	86	2	∑	∑	PUNCT
ejpam-728	86	3	k=0	k=0	PROPN
ejpam-728	86	4	∞	∞	PROPN
ejpam-728	86	5	∑	∑	PUNCT
ejpam-728	86	6	j=0	j=0	PROPN
ejpam-728	86	7	y	y	PROPN
ejpam-728	86	8	(	(	PUNCT
ejpam-728	86	9	k	k	PROPN
ejpam-728	86	10	,	,	PUNCT
ejpam-728	86	11	j)x	j)x	PROPN
ejpam-728	87	1	k	k	PROPN
ejpam-728	87	2	y	y	PROPN
ejpam-728	87	3	j	j	PROPN
ejpam-728	87	4	.	.	PUNCT
ejpam-728	88	1	(	(	PUNCT
ejpam-728	88	2	5	5	NUM
ejpam-728	88	3	)	)	PUNCT
ejpam-728	88	4	from	from	ADP
ejpam-728	88	5	eq	eq	ADP
ejpam-728	88	6	.	.	PUNCT
ejpam-728	89	1	(	(	PUNCT
ejpam-728	89	2	4	4	NUM
ejpam-728	89	3	)	)	PUNCT
ejpam-728	89	4	and	and	CCONJ
ejpam-728	89	5	(	(	PUNCT
ejpam-728	89	6	5	5	X
ejpam-728	89	7	)	)	PUNCT
ejpam-728	89	8	we	we	PRON
ejpam-728	89	9	can	can	AUX
ejpam-728	89	10	demonstrate	demonstrate	VERB
ejpam-728	89	11	as	as	SCONJ
ejpam-728	89	12	follows	follow	VERB
ejpam-728	89	13	:	:	PUNCT
ejpam-728	89	14	y	y	PROPN
ejpam-728	89	15	(	(	PUNCT
ejpam-728	89	16	k	k	X
ejpam-728	89	17	,	,	PUNCT
ejpam-728	89	18	j	j	NOUN
ejpam-728	89	19	)	)	PUNCT
ejpam-728	90	1	=	=	SYM
ejpam-728	90	2	∞	∞	NUM
ejpam-728	90	3	∑	∑	PUNCT
ejpam-728	90	4	k=0	k=0	PROPN
ejpam-728	90	5	∞	∞	PROPN
ejpam-728	90	6	∑	∑	PUNCT
ejpam-728	90	7	j=0	j=0	PROPN
ejpam-728	90	8	1	1	NUM
ejpam-728	90	9	k	k	NOUN
ejpam-728	90	10	!	!	PUNCT
ejpam-728	90	11	j	j	PROPN
ejpam-728	90	12	!	!	PUNCT
ejpam-728	90	13	�	�	PROPN
ejpam-728	90	14	∂	∂	NUM
ejpam-728	90	15	k+	k+	PROPN
ejpam-728	90	16	j	j	PROPN
ejpam-728	90	17	∂	∂	PROPN
ejpam-728	90	18	x	x	PROPN
ejpam-728	90	19	k∂	k∂	PROPN
ejpam-728	90	20	y	y	PROPN
ejpam-728	90	21	j	j	PROPN
ejpam-728	90	22	y(x	y(x	PROPN
ejpam-728	90	23	,	,	PUNCT
ejpam-728	90	24	t	t	PROPN
ejpam-728	90	25	)	)	PUNCT
ejpam-728	90	26	�	�	PROPN
ejpam-728	90	27	x=0	x=0	NUM
ejpam-728	90	28	y=0	y=0	X
ejpam-728	90	29	.	.	PUNCT
ejpam-728	91	1	(	(	PUNCT
ejpam-728	91	2	6	6	X
ejpam-728	91	3	)	)	PUNCT
ejpam-728	91	4	it	it	PRON
ejpam-728	91	5	is	be	AUX
ejpam-728	91	6	clear	clear	ADJ
ejpam-728	91	7	that	that	SCONJ
ejpam-728	91	8	eq	eq	NOUN
ejpam-728	91	9	(	(	PUNCT
ejpam-728	91	10	6	6	NUM
ejpam-728	91	11	)	)	PUNCT
ejpam-728	91	12	implies	imply	VERB
ejpam-728	91	13	the	the	DET
ejpam-728	91	14	two	two	NUM
ejpam-728	91	15	dimensional	dimensional	ADJ
ejpam-728	91	16	of	of	ADP
ejpam-728	91	17	taylor	taylor	PROPN
ejpam-728	91	18	series	series	PROPN
ejpam-728	91	19	expansion	expansion	NOUN
ejpam-728	91	20	.	.	PUNCT
ejpam-728	92	1	one	one	NUM
ejpam-728	92	2	easily	easily	ADV
ejpam-728	92	3	deduce	deduce	VERB
ejpam-728	92	4	several	several	ADJ
ejpam-728	92	5	similar	similar	ADJ
ejpam-728	92	6	results	result	NOUN
ejpam-728	92	7	as	as	ADP
ejpam-728	92	8	in	in	ADP
ejpam-728	92	9	the	the	DET
ejpam-728	92	10	section	section	NOUN
ejpam-728	92	11	1	1	NUM
ejpam-728	92	12	.	.	PUNCT
ejpam-728	93	1	c.	c.	PROPN
ejpam-728	93	2	hussin	hussin	PROPN
ejpam-728	93	3	,	,	PUNCT
ejpam-728	93	4	a.	a.	PROPN
ejpam-728	93	5	kılıçman	kılıçman	PROPN
ejpam-728	93	6	/	/	SYM
ejpam-728	93	7	eur	eur	PROPN
ejpam-728	93	8	.	.	PUNCT
ejpam-728	94	1	j.	j.	PROPN
ejpam-728	94	2	pure	pure	PROPN
ejpam-728	94	3	appl	appl	PROPN
ejpam-728	94	4	.	.	PROPN
ejpam-728	94	5	math	math	PROPN
ejpam-728	94	6	,	,	PUNCT
ejpam-728	94	7	4	4	NUM
ejpam-728	94	8	(	(	PUNCT
ejpam-728	94	9	2011	2011	NUM
ejpam-728	94	10	)	)	PUNCT
ejpam-728	94	11	,	,	PUNCT
ejpam-728	94	12	174	174	NUM
ejpam-728	94	13	-	-	SYM
ejpam-728	94	14	185	185	NUM
ejpam-728	94	15	177	177	NUM
ejpam-728	94	16	3	3	NUM
ejpam-728	94	17	.	.	PUNCT
ejpam-728	94	18	general	general	ADJ
ejpam-728	94	19	solution	solution	NOUN
ejpam-728	94	20	for	for	ADP
ejpam-728	94	21	nth	nth	NOUN
ejpam-728	94	22	-	-	PUNCT
ejpam-728	94	23	order	order	NOUN
ejpam-728	94	24	boundary	boundary	ADJ
ejpam-728	94	25	value	value	NOUN
ejpam-728	94	26	problems	problem	NOUN
ejpam-728	94	27	for	for	ADP
ejpam-728	94	28	mth	mth	NOUN
ejpam-728	94	29	-	-	PUNCT
ejpam-728	94	30	order	order	NOUN
ejpam-728	94	31	nonlinear	nonlinear	ADJ
ejpam-728	94	32	functions	function	NOUN
ejpam-728	94	33	consider	consider	VERB
ejpam-728	94	34	the	the	DET
ejpam-728	94	35	following	follow	VERB
ejpam-728	94	36	problem	problem	NOUN
ejpam-728	94	37	.	.	PUNCT
ejpam-728	95	1	if	if	SCONJ
ejpam-728	95	2	y(x	y(x	NOUN
ejpam-728	95	3	)	)	PUNCT
ejpam-728	95	4	is	be	AUX
ejpam-728	95	5	transformable	transformable	ADJ
ejpam-728	95	6	then	then	ADV
ejpam-728	95	7	on	on	ADP
ejpam-728	95	8	using	use	VERB
ejpam-728	95	9	the	the	DET
ejpam-728	95	10	equation	equation	NOUN
ejpam-728	95	11	(	(	PUNCT
ejpam-728	95	12	1	1	X
ejpam-728	95	13	)	)	PUNCT
ejpam-728	95	14	we	we	PRON
ejpam-728	95	15	consider	consider	VERB
ejpam-728	95	16	the	the	DET
ejpam-728	95	17	solution	solution	NOUN
ejpam-728	95	18	to	to	ADP
ejpam-728	95	19	the	the	DET
ejpam-728	95	20	high	high	ADJ
ejpam-728	95	21	order	order	NOUN
ejpam-728	95	22	differential	differential	NOUN
ejpam-728	95	23	equation	equation	NOUN
ejpam-728	95	24	y(n)(x	y(n)(x	NOUN
ejpam-728	95	25	)	)	PUNCT
ejpam-728	95	26	=	=	PUNCT
ejpam-728	96	1	e−x	e−x	NUM
ejpam-728	96	2	y	y	PROPN
ejpam-728	96	3	1	1	NUM
ejpam-728	96	4	m	m	VERB
ejpam-728	96	5	(	(	PUNCT
ejpam-728	96	6	x	x	NOUN
ejpam-728	96	7	)	)	PUNCT
ejpam-728	96	8	.	.	PUNCT
ejpam-728	97	1	now	now	ADV
ejpam-728	97	2	we	we	PRON
ejpam-728	97	3	can	can	AUX
ejpam-728	97	4	consider	consider	VERB
ejpam-728	97	5	several	several	ADJ
ejpam-728	97	6	cases	case	NOUN
ejpam-728	97	7	as	as	SCONJ
ejpam-728	97	8	follows	follow	VERB
ejpam-728	97	9	:	:	PUNCT
ejpam-728	97	10	if	if	SCONJ
ejpam-728	97	11	n=	n=	ADJ
ejpam-728	97	12	5	5	NUM
ejpam-728	97	13	and	and	CCONJ
ejpam-728	97	14	p	p	NOUN
ejpam-728	97	15	=	=	NOUN
ejpam-728	97	16	1	1	NUM
ejpam-728	97	17	m	m	NOUN
ejpam-728	97	18	=	=	NOUN
ejpam-728	97	19	1	1	NUM
ejpam-728	97	20	2	2	NUM
ejpam-728	97	21	then	then	ADV
ejpam-728	97	22	on	on	ADP
ejpam-728	97	23	using	use	VERB
ejpam-728	97	24	the	the	DET
ejpam-728	97	25	equation	equation	NOUN
ejpam-728	97	26	(	(	PUNCT
ejpam-728	97	27	1	1	X
ejpam-728	97	28	)	)	PUNCT
ejpam-728	97	29	one	one	NOUN
ejpam-728	97	30	can	can	AUX
ejpam-728	97	31	easily	easily	ADV
ejpam-728	97	32	prove	prove	VERB
ejpam-728	97	33	that	that	SCONJ
ejpam-728	97	34	,	,	PUNCT
ejpam-728	97	35	y	y	PROPN
ejpam-728	97	36	(	(	PUNCT
ejpam-728	97	37	k+	k+	NOUN
ejpam-728	97	38	5	5	X
ejpam-728	97	39	)	)	PUNCT
ejpam-728	97	40	=	=	SYM
ejpam-728	98	1	k	k	X
ejpam-728	98	2	!	!	PUNCT
ejpam-728	99	1	(	(	PUNCT
ejpam-728	99	2	k+	k+	NOUN
ejpam-728	99	3	5	5	NUM
ejpam-728	99	4	)	)	PUNCT
ejpam-728	99	5	!	!	PUNCT
ejpam-728	100	1			PROPN
ejpam-728	100	2			NOUN
ejpam-728	100	3			NUM
ejpam-728	100	4			NOUN
ejpam-728	100	5			NOUN
ejpam-728	100	6			NOUN
ejpam-728	100	7	1	1	NUM
ejpam-728	100	8	�	�	NOUN
ejpam-728	100	9	−1	−1	NOUN
ejpam-728	100	10	2	2	NUM
ejpam-728	100	11	�	�	PROPN
ejpam-728	100	12	5	5	NUM
ejpam-728	100	13			NOUN
ejpam-728	100	14			NOUN
ejpam-728	100	15			PUNCT
ejpam-728	100	16	�	�	PROPN
ejpam-728	100	17	(	(	PUNCT
ejpam-728	100	18	−1)k	−1)k	PROPN
ejpam-728	100	19	k	k	PROPN
ejpam-728	100	20	!	!	PUNCT
ejpam-728	100	21	�	�	PROPN
ejpam-728	100	22	k!y	k!y	PROPN
ejpam-728	100	23	(	(	PUNCT
ejpam-728	100	24	k	k	NOUN
ejpam-728	100	25	)	)	PUNCT
ejpam-728	100	26			PROPN
ejpam-728	100	27			PROPN
ejpam-728	100	28			PROPN
ejpam-728	100	29	k=0,2,4	k=0,2,4	NOUN
ejpam-728	100	30	,	,	PUNCT
ejpam-728	100	31	...	...	PUNCT
ejpam-728	100	32	and	and	CCONJ
ejpam-728	100	33	y	y	PROPN
ejpam-728	100	34	(	(	PUNCT
ejpam-728	100	35	k+	k+	NOUN
ejpam-728	100	36	5	5	X
ejpam-728	100	37	)	)	PUNCT
ejpam-728	100	38	=	=	SYM
ejpam-728	101	1	k	k	X
ejpam-728	101	2	!	!	PUNCT
ejpam-728	102	1	(	(	PUNCT
ejpam-728	102	2	k+	k+	NOUN
ejpam-728	102	3	5	5	NUM
ejpam-728	102	4	)	)	PUNCT
ejpam-728	102	5	!	!	PUNCT
ejpam-728	103	1			PROPN
ejpam-728	103	2			NOUN
ejpam-728	103	3			NUM
ejpam-728	103	4			NOUN
ejpam-728	103	5			NOUN
ejpam-728	103	6			NOUN
ejpam-728	103	7	1	1	NUM
ejpam-728	103	8	�	�	PROPN
ejpam-728	103	9	1	1	NUM
ejpam-728	103	10	2	2	NUM
ejpam-728	103	11	�	�	PROPN
ejpam-728	103	12	5	5	NUM
ejpam-728	103	13			NOUN
ejpam-728	103	14			NOUN
ejpam-728	103	15			PUNCT
ejpam-728	103	16	�	�	PROPN
ejpam-728	103	17	(	(	PUNCT
ejpam-728	103	18	−1)k	−1)k	PROPN
ejpam-728	103	19	k	k	PROPN
ejpam-728	103	20	!	!	PUNCT
ejpam-728	103	21	�	�	PROPN
ejpam-728	103	22	k!y	k!y	PROPN
ejpam-728	103	23	(	(	PUNCT
ejpam-728	103	24	k	k	NOUN
ejpam-728	103	25	)	)	PUNCT
ejpam-728	103	26			PROPN
ejpam-728	103	27			PROPN
ejpam-728	103	28			PROPN
ejpam-728	103	29	k=1,3,5	k=1,3,5	NOUN
ejpam-728	103	30	,	,	PUNCT
ejpam-728	103	31	...	...	PUNCT
ejpam-728	103	32	.	.	PUNCT
ejpam-728	104	1	now	now	ADV
ejpam-728	104	2	,	,	PUNCT
ejpam-728	104	3	if	if	SCONJ
ejpam-728	104	4	p	p	NOUN
ejpam-728	104	5	=	=	NOUN
ejpam-728	104	6	1	1	NUM
ejpam-728	104	7	3	3	NUM
ejpam-728	104	8	then	then	ADV
ejpam-728	104	9	,	,	PUNCT
ejpam-728	104	10	y	y	PROPN
ejpam-728	104	11	(	(	PUNCT
ejpam-728	104	12	k+	k+	NOUN
ejpam-728	104	13	5	5	X
ejpam-728	104	14	)	)	PUNCT
ejpam-728	104	15	=	=	SYM
ejpam-728	105	1	k	k	X
ejpam-728	105	2	!	!	PUNCT
ejpam-728	106	1	(	(	PUNCT
ejpam-728	106	2	k+	k+	NOUN
ejpam-728	106	3	5	5	NUM
ejpam-728	106	4	)	)	PUNCT
ejpam-728	106	5	!	!	PUNCT
ejpam-728	107	1			PROPN
ejpam-728	107	2			NOUN
ejpam-728	107	3			NUM
ejpam-728	107	4			NOUN
ejpam-728	107	5			NOUN
ejpam-728	107	6			NOUN
ejpam-728	107	7	1	1	NUM
ejpam-728	107	8	�	�	PROPN
ejpam-728	107	9	−2	−2	PROPN
ejpam-728	107	10	3	3	NUM
ejpam-728	107	11	�	�	PROPN
ejpam-728	107	12	5	5	NUM
ejpam-728	107	13			NOUN
ejpam-728	107	14			NOUN
ejpam-728	107	15			PUNCT
ejpam-728	107	16	�	�	PROPN
ejpam-728	107	17	(	(	PUNCT
ejpam-728	107	18	−1)k	−1)k	PROPN
ejpam-728	107	19	k	k	PROPN
ejpam-728	107	20	!	!	PUNCT
ejpam-728	107	21	�	�	PROPN
ejpam-728	107	22	k!y	k!y	PROPN
ejpam-728	107	23	(	(	PUNCT
ejpam-728	107	24	k	k	NOUN
ejpam-728	107	25	)	)	PUNCT
ejpam-728	107	26			PROPN
ejpam-728	107	27			PROPN
ejpam-728	107	28			PROPN
ejpam-728	107	29	k=0,2,4	k=0,2,4	NOUN
ejpam-728	107	30	,	,	PUNCT
ejpam-728	107	31	...	...	PUNCT
ejpam-728	107	32	and	and	CCONJ
ejpam-728	107	33	y	y	PROPN
ejpam-728	107	34	(	(	PUNCT
ejpam-728	107	35	k+	k+	NOUN
ejpam-728	107	36	5	5	X
ejpam-728	107	37	)	)	PUNCT
ejpam-728	107	38	=	=	SYM
ejpam-728	108	1	k	k	X
ejpam-728	108	2	!	!	PUNCT
ejpam-728	109	1	(	(	PUNCT
ejpam-728	109	2	k+	k+	NOUN
ejpam-728	109	3	5	5	NUM
ejpam-728	109	4	)	)	PUNCT
ejpam-728	109	5	!	!	PUNCT
ejpam-728	110	1			PROPN
ejpam-728	110	2			NOUN
ejpam-728	110	3			NUM
ejpam-728	110	4			NOUN
ejpam-728	110	5			NOUN
ejpam-728	110	6			NOUN
ejpam-728	110	7	1	1	NUM
ejpam-728	110	8	�	�	PROPN
ejpam-728	110	9	2	2	NUM
ejpam-728	110	10	3	3	NUM
ejpam-728	110	11	�	�	PROPN
ejpam-728	110	12	5	5	NUM
ejpam-728	110	13			NOUN
ejpam-728	110	14			NOUN
ejpam-728	110	15			PUNCT
ejpam-728	110	16	�	�	PROPN
ejpam-728	110	17	(	(	PUNCT
ejpam-728	110	18	−1)k	−1)k	PROPN
ejpam-728	110	19	k	k	PROPN
ejpam-728	110	20	!	!	PUNCT
ejpam-728	110	21	�	�	PROPN
ejpam-728	110	22	k!y	k!y	PROPN
ejpam-728	110	23	(	(	PUNCT
ejpam-728	110	24	k	k	NOUN
ejpam-728	110	25	)	)	PUNCT
ejpam-728	110	26			PROPN
ejpam-728	110	27			PROPN
ejpam-728	110	28			PROPN
ejpam-728	110	29	k=1,3,5	k=1,3,5	PROPN
ejpam-728	110	30	,	,	PUNCT
ejpam-728	110	31	...	...	PUNCT
ejpam-728	110	32	similarly	similarly	ADV
ejpam-728	110	33	,	,	PUNCT
ejpam-728	110	34	if	if	SCONJ
ejpam-728	110	35	p	p	NOUN
ejpam-728	110	36	=	=	NOUN
ejpam-728	110	37	1	1	NUM
ejpam-728	110	38	m	m	VERB
ejpam-728	110	39	then	then	ADV
ejpam-728	110	40	,	,	PUNCT
ejpam-728	110	41	y	y	PROPN
ejpam-728	110	42	(	(	PUNCT
ejpam-728	110	43	k+	k+	NOUN
ejpam-728	110	44	5	5	X
ejpam-728	110	45	)	)	PUNCT
ejpam-728	110	46	=	=	SYM
ejpam-728	111	1	k	k	X
ejpam-728	111	2	!	!	PUNCT
ejpam-728	112	1	(	(	PUNCT
ejpam-728	112	2	k+	k+	NOUN
ejpam-728	112	3	5	5	NUM
ejpam-728	112	4	)	)	PUNCT
ejpam-728	112	5	!	!	PUNCT
ejpam-728	113	1			PROPN
ejpam-728	113	2			NUM
ejpam-728	113	3	1	1	NUM
ejpam-728	113	4	(	(	PUNCT
ejpam-728	113	5	1	1	NUM
ejpam-728	113	6	m	m	NOUN
ejpam-728	113	7	−	−	PROPN
ejpam-728	113	8	1)5	1)5	NUM
ejpam-728	113	9	!	!	PUNCT
ejpam-728	114	1	�	�	PROPN
ejpam-728	114	2	(	(	PUNCT
ejpam-728	114	3	−1)k	−1)k	PROPN
ejpam-728	114	4	k	k	PROPN
ejpam-728	114	5	!	!	PUNCT
ejpam-728	114	6	�	�	PROPN
ejpam-728	114	7	k!y	k!y	PROPN
ejpam-728	114	8	(	(	PUNCT
ejpam-728	114	9	k	k	NOUN
ejpam-728	114	10	)	)	PUNCT
ejpam-728	115	1			PROPN
ejpam-728	115	2			PROPN
ejpam-728	115	3	k=0,2,4	k=0,2,4	NOUN
ejpam-728	115	4	,	,	PUNCT
ejpam-728	115	5	...	...	PUNCT
ejpam-728	115	6	and	and	CCONJ
ejpam-728	115	7	y	y	PROPN
ejpam-728	115	8	(	(	PUNCT
ejpam-728	115	9	k+	k+	NOUN
ejpam-728	115	10	5	5	X
ejpam-728	115	11	)	)	PUNCT
ejpam-728	116	1	=	=	SYM
ejpam-728	117	1	k	k	X
ejpam-728	117	2	!	!	PUNCT
ejpam-728	118	1	(	(	PUNCT
ejpam-728	118	2	k+	k+	NOUN
ejpam-728	118	3	5	5	NUM
ejpam-728	118	4	)	)	PUNCT
ejpam-728	118	5	!	!	PUNCT
ejpam-728	119	1			PROPN
ejpam-728	119	2			NUM
ejpam-728	119	3	1	1	NUM
ejpam-728	119	4	(	(	PUNCT
ejpam-728	119	5	1−	1−	NUM
ejpam-728	119	6	1	1	NUM
ejpam-728	119	7	m	m	NOUN
ejpam-728	119	8	)	)	PUNCT
ejpam-728	119	9	5	5	NUM
ejpam-728	119	10	!	!	PUNCT
ejpam-728	119	11	�	�	PROPN
ejpam-728	119	12	(	(	PUNCT
ejpam-728	119	13	−1)k	−1)k	PROPN
ejpam-728	119	14	k	k	PROPN
ejpam-728	119	15	!	!	PUNCT
ejpam-728	119	16	�	�	PROPN
ejpam-728	119	17	k!y	k!y	PROPN
ejpam-728	119	18	(	(	PUNCT
ejpam-728	119	19	k	k	NOUN
ejpam-728	119	20	)	)	PUNCT
ejpam-728	119	21			PROPN
ejpam-728	119	22			PROPN
ejpam-728	119	23	k=1,3,5	k=1,3,5	NOUN
ejpam-728	119	24	,	,	PUNCT
ejpam-728	119	25	...	...	PUNCT
ejpam-728	119	26	if	if	SCONJ
ejpam-728	119	27	p	p	NOUN
ejpam-728	119	28	=	=	NOUN
ejpam-728	119	29	1	1	NUM
ejpam-728	119	30	m+1	m+1	NUM
ejpam-728	119	31	then	then	ADV
ejpam-728	119	32	,	,	PUNCT
ejpam-728	119	33	y	y	PROPN
ejpam-728	119	34	(	(	PUNCT
ejpam-728	119	35	k+	k+	NOUN
ejpam-728	119	36	5	5	X
ejpam-728	119	37	)	)	PUNCT
ejpam-728	119	38	=	=	SYM
ejpam-728	120	1	k	k	X
ejpam-728	120	2	!	!	PUNCT
ejpam-728	121	1	(	(	PUNCT
ejpam-728	121	2	k+	k+	NOUN
ejpam-728	121	3	5	5	NUM
ejpam-728	121	4	)	)	PUNCT
ejpam-728	121	5	!	!	PUNCT
ejpam-728	122	1			PROPN
ejpam-728	122	2			NUM
ejpam-728	122	3	1	1	NUM
ejpam-728	122	4	(	(	PUNCT
ejpam-728	122	5	1	1	NUM
ejpam-728	122	6	m+1	m+1	NUM
ejpam-728	122	7	−	−	PROPN
ejpam-728	122	8	1)5	1)5	NUM
ejpam-728	122	9	!	!	PUNCT
ejpam-728	123	1	�	�	PROPN
ejpam-728	123	2	(	(	PUNCT
ejpam-728	123	3	−1)k	−1)k	PROPN
ejpam-728	123	4	k	k	PROPN
ejpam-728	123	5	!	!	PUNCT
ejpam-728	123	6	�	�	PROPN
ejpam-728	123	7	k!y	k!y	PROPN
ejpam-728	123	8	(	(	PUNCT
ejpam-728	123	9	k	k	NOUN
ejpam-728	123	10	)	)	PUNCT
ejpam-728	124	1			PROPN
ejpam-728	124	2			PROPN
ejpam-728	124	3	k=0,2,4	k=0,2,4	NOUN
ejpam-728	124	4	,	,	PUNCT
ejpam-728	124	5	...	...	PUNCT
ejpam-728	124	6	and	and	CCONJ
ejpam-728	124	7	y	y	PROPN
ejpam-728	124	8	(	(	PUNCT
ejpam-728	124	9	k+	k+	NOUN
ejpam-728	124	10	5	5	X
ejpam-728	124	11	)	)	PUNCT
ejpam-728	125	1	=	=	SYM
ejpam-728	126	1	k	k	X
ejpam-728	126	2	!	!	PUNCT
ejpam-728	127	1	(	(	PUNCT
ejpam-728	127	2	k+	k+	NOUN
ejpam-728	127	3	5	5	NUM
ejpam-728	127	4	)	)	PUNCT
ejpam-728	127	5	!	!	PUNCT
ejpam-728	128	1			PROPN
ejpam-728	128	2			NUM
ejpam-728	128	3	1	1	NUM
ejpam-728	128	4	(	(	PUNCT
ejpam-728	128	5	1−	1−	NUM
ejpam-728	128	6	1	1	NUM
ejpam-728	128	7	m+1	m+1	NUM
ejpam-728	128	8	)	)	PUNCT
ejpam-728	128	9	5	5	NUM
ejpam-728	128	10	!	!	PUNCT
ejpam-728	128	11	�	�	PROPN
ejpam-728	128	12	(	(	PUNCT
ejpam-728	128	13	−1)k	−1)k	PROPN
ejpam-728	128	14	k	k	PROPN
ejpam-728	128	15	!	!	PUNCT
ejpam-728	128	16	�	�	PROPN
ejpam-728	128	17	k!y	k!y	PROPN
ejpam-728	128	18	(	(	PUNCT
ejpam-728	128	19	k	k	NOUN
ejpam-728	128	20	)	)	PUNCT
ejpam-728	128	21			PROPN
ejpam-728	128	22			PROPN
ejpam-728	128	23	k=1,3,5	k=1,3,5	NOUN
ejpam-728	128	24	,	,	PUNCT
ejpam-728	128	25	...	...	PUNCT
ejpam-728	128	26	c.	c.	PROPN
ejpam-728	128	27	hussin	hussin	PROPN
ejpam-728	128	28	,	,	PUNCT
ejpam-728	128	29	a.	a.	PROPN
ejpam-728	128	30	kılıçman	kılıçman	PROPN
ejpam-728	128	31	/	/	SYM
ejpam-728	128	32	eur	eur	PROPN
ejpam-728	128	33	.	.	PUNCT
ejpam-728	129	1	j.	j.	PROPN
ejpam-728	129	2	pure	pure	PROPN
ejpam-728	129	3	appl	appl	PROPN
ejpam-728	129	4	.	.	PROPN
ejpam-728	129	5	math	math	PROPN
ejpam-728	129	6	,	,	PUNCT
ejpam-728	129	7	4	4	NUM
ejpam-728	129	8	(	(	PUNCT
ejpam-728	129	9	2011	2011	NUM
ejpam-728	129	10	)	)	PUNCT
ejpam-728	129	11	,	,	PUNCT
ejpam-728	129	12	174	174	NUM
ejpam-728	129	13	-	-	SYM
ejpam-728	129	14	185	185	NUM
ejpam-728	129	15	178	178	NUM
ejpam-728	129	16	thus	thus	ADV
ejpam-728	129	17	,	,	PUNCT
ejpam-728	129	18	if	if	SCONJ
ejpam-728	129	19	n=	n=	ADJ
ejpam-728	129	20	1	1	NUM
ejpam-728	129	21	and	and	CCONJ
ejpam-728	129	22	p	p	X
ejpam-728	129	23	=	=	NOUN
ejpam-728	129	24	1	1	NUM
ejpam-728	129	25	m	m	VERB
ejpam-728	129	26	then	then	ADV
ejpam-728	129	27	,	,	PUNCT
ejpam-728	129	28	y	y	PROPN
ejpam-728	129	29	(	(	PUNCT
ejpam-728	129	30	k+	k+	NOUN
ejpam-728	129	31	1	1	X
ejpam-728	129	32	)	)	PUNCT
ejpam-728	129	33	=	=	SYM
ejpam-728	130	1	k	k	X
ejpam-728	130	2	!	!	PUNCT
ejpam-728	130	3	(	(	PUNCT
ejpam-728	130	4	k+	k+	NOUN
ejpam-728	130	5	1	1	NUM
ejpam-728	130	6	)	)	PUNCT
ejpam-728	130	7	!	!	PUNCT
ejpam-728	131	1			PROPN
ejpam-728	131	2			NUM
ejpam-728	131	3	1	1	NUM
ejpam-728	131	4	(	(	PUNCT
ejpam-728	131	5	1	1	NUM
ejpam-728	131	6	m	m	NOUN
ejpam-728	131	7	−	−	NOUN
ejpam-728	131	8	1	1	NUM
ejpam-728	131	9	)	)	PUNCT
ejpam-728	131	10	!	!	PUNCT
ejpam-728	132	1	�	�	PROPN
ejpam-728	132	2	(	(	PUNCT
ejpam-728	132	3	−1)k	−1)k	PROPN
ejpam-728	132	4	k	k	PROPN
ejpam-728	132	5	!	!	PUNCT
ejpam-728	132	6	�	�	PROPN
ejpam-728	132	7	k!y	k!y	PROPN
ejpam-728	132	8	(	(	PUNCT
ejpam-728	132	9	k	k	NOUN
ejpam-728	132	10	)	)	PUNCT
ejpam-728	133	1			PROPN
ejpam-728	133	2			PROPN
ejpam-728	133	3	k=0,2,4	k=0,2,4	NOUN
ejpam-728	133	4	,	,	PUNCT
ejpam-728	133	5	...	...	PUNCT
ejpam-728	133	6	and	and	CCONJ
ejpam-728	133	7	y	y	PROPN
ejpam-728	133	8	(	(	PUNCT
ejpam-728	133	9	k+	k+	NOUN
ejpam-728	133	10	1	1	X
ejpam-728	133	11	)	)	PUNCT
ejpam-728	134	1	=	=	SYM
ejpam-728	135	1	k	k	X
ejpam-728	135	2	!	!	PUNCT
ejpam-728	136	1	(	(	PUNCT
ejpam-728	136	2	k+	k+	NOUN
ejpam-728	136	3	1	1	NUM
ejpam-728	136	4	)	)	PUNCT
ejpam-728	136	5	!	!	PUNCT
ejpam-728	137	1			PROPN
ejpam-728	137	2			NUM
ejpam-728	137	3	1	1	NUM
ejpam-728	137	4	(	(	PUNCT
ejpam-728	137	5	1−	1−	NUM
ejpam-728	137	6	1	1	NUM
ejpam-728	137	7	m	m	NOUN
ejpam-728	137	8	)	)	PUNCT
ejpam-728	137	9	!	!	PUNCT
ejpam-728	138	1	�	�	PROPN
ejpam-728	138	2	(	(	PUNCT
ejpam-728	138	3	−1)k	−1)k	PROPN
ejpam-728	138	4	k	k	PROPN
ejpam-728	138	5	!	!	PUNCT
ejpam-728	138	6	�	�	PROPN
ejpam-728	138	7	k!y	k!y	PROPN
ejpam-728	138	8	(	(	PUNCT
ejpam-728	138	9	k	k	NOUN
ejpam-728	138	10	)	)	PUNCT
ejpam-728	138	11			PROPN
ejpam-728	138	12			PROPN
ejpam-728	138	13	k=1,3,5	k=1,3,5	NOUN
ejpam-728	138	14	,	,	PUNCT
ejpam-728	138	15	...	...	PUNCT
ejpam-728	138	16	if	if	SCONJ
ejpam-728	138	17	n=	n=	ADJ
ejpam-728	138	18	2	2	NUM
ejpam-728	138	19	then	then	ADV
ejpam-728	138	20	,	,	PUNCT
ejpam-728	138	21	y	y	PROPN
ejpam-728	138	22	(	(	PUNCT
ejpam-728	138	23	k+	k+	NOUN
ejpam-728	138	24	2	2	X
ejpam-728	138	25	)	)	PUNCT
ejpam-728	138	26	=	=	SYM
ejpam-728	139	1	k	k	X
ejpam-728	139	2	!	!	PUNCT
ejpam-728	140	1	(	(	PUNCT
ejpam-728	140	2	k+	k+	NOUN
ejpam-728	140	3	2	2	NUM
ejpam-728	140	4	)	)	PUNCT
ejpam-728	140	5	!	!	PUNCT
ejpam-728	141	1			PROPN
ejpam-728	141	2			NUM
ejpam-728	141	3	1	1	NUM
ejpam-728	141	4	(	(	PUNCT
ejpam-728	141	5	1	1	NUM
ejpam-728	141	6	m	m	NOUN
ejpam-728	141	7	−	−	PROPN
ejpam-728	141	8	1)2	1)2	NUM
ejpam-728	141	9	!	!	PUNCT
ejpam-728	142	1	�	�	PROPN
ejpam-728	142	2	(	(	PUNCT
ejpam-728	142	3	−1)k	−1)k	PROPN
ejpam-728	142	4	k	k	PROPN
ejpam-728	142	5	!	!	PUNCT
ejpam-728	142	6	�	�	PROPN
ejpam-728	142	7	k!y	k!y	PROPN
ejpam-728	142	8	(	(	PUNCT
ejpam-728	142	9	k	k	NOUN
ejpam-728	142	10	)	)	PUNCT
ejpam-728	143	1			PROPN
ejpam-728	143	2			PROPN
ejpam-728	143	3	k=0,2,4	k=0,2,4	NOUN
ejpam-728	143	4	,	,	PUNCT
ejpam-728	143	5	...	...	PUNCT
ejpam-728	143	6	and	and	CCONJ
ejpam-728	143	7	y	y	PROPN
ejpam-728	143	8	(	(	PUNCT
ejpam-728	143	9	k+	k+	NOUN
ejpam-728	143	10	2	2	X
ejpam-728	143	11	)	)	PUNCT
ejpam-728	144	1	=	=	SYM
ejpam-728	144	2	k	k	X
ejpam-728	144	3	!	!	PUNCT
ejpam-728	145	1	(	(	PUNCT
ejpam-728	145	2	k+	k+	NOUN
ejpam-728	145	3	2	2	NUM
ejpam-728	145	4	)	)	PUNCT
ejpam-728	145	5	!	!	PUNCT
ejpam-728	146	1			PROPN
ejpam-728	146	2			NUM
ejpam-728	146	3	1	1	NUM
ejpam-728	146	4	(	(	PUNCT
ejpam-728	146	5	1−	1−	NUM
ejpam-728	146	6	1	1	NUM
ejpam-728	146	7	m	m	NOUN
ejpam-728	146	8	)	)	PUNCT
ejpam-728	146	9	2	2	NUM
ejpam-728	146	10	!	!	PUNCT
ejpam-728	146	11	�	�	PROPN
ejpam-728	146	12	(	(	PUNCT
ejpam-728	146	13	−1)k	−1)k	PROPN
ejpam-728	146	14	k	k	PROPN
ejpam-728	146	15	!	!	PUNCT
ejpam-728	146	16	�	�	PROPN
ejpam-728	146	17	k!y	k!y	PROPN
ejpam-728	146	18	(	(	PUNCT
ejpam-728	146	19	k	k	NOUN
ejpam-728	146	20	)	)	PUNCT
ejpam-728	146	21			PROPN
ejpam-728	146	22			PROPN
ejpam-728	146	23	k=1,3,5	k=1,3,5	NOUN
ejpam-728	146	24	,	,	PUNCT
ejpam-728	146	25	...	...	PUNCT
ejpam-728	147	1	if	if	SCONJ
ejpam-728	147	2	n=	n=	ADV
ejpam-728	147	3	q	q	NOUN
ejpam-728	147	4	then	then	ADV
ejpam-728	147	5	,	,	PUNCT
ejpam-728	147	6	y	y	PROPN
ejpam-728	147	7	(	(	PUNCT
ejpam-728	147	8	k+	k+	NOUN
ejpam-728	147	9	q	q	NOUN
ejpam-728	147	10	)	)	PUNCT
ejpam-728	147	11	=	=	SYM
ejpam-728	148	1	k	k	X
ejpam-728	148	2	!	!	PUNCT
ejpam-728	149	1	(	(	PUNCT
ejpam-728	149	2	k+	k+	NOUN
ejpam-728	149	3	q	q	NOUN
ejpam-728	149	4	)	)	PUNCT
ejpam-728	149	5	!	!	PUNCT
ejpam-728	150	1			PROPN
ejpam-728	150	2			NUM
ejpam-728	150	3	1	1	NUM
ejpam-728	150	4	(	(	PUNCT
ejpam-728	150	5	1	1	NUM
ejpam-728	150	6	m	m	NOUN
ejpam-728	150	7	−	−	NOUN
ejpam-728	150	8	1)q	1)q	NOUN
ejpam-728	150	9	!	!	PUNCT
ejpam-728	151	1	�	�	PROPN
ejpam-728	151	2	(	(	PUNCT
ejpam-728	151	3	−1)k	−1)k	PROPN
ejpam-728	151	4	k	k	PROPN
ejpam-728	151	5	!	!	PUNCT
ejpam-728	151	6	�	�	PROPN
ejpam-728	151	7	k!y	k!y	PROPN
ejpam-728	151	8	(	(	PUNCT
ejpam-728	151	9	k	k	NOUN
ejpam-728	151	10	)	)	PUNCT
ejpam-728	152	1			PROPN
ejpam-728	152	2			PROPN
ejpam-728	152	3	k=0,2,4	k=0,2,4	NOUN
ejpam-728	152	4	,	,	PUNCT
ejpam-728	152	5	...	...	PUNCT
ejpam-728	152	6	and	and	CCONJ
ejpam-728	152	7	y	y	PROPN
ejpam-728	152	8	(	(	PUNCT
ejpam-728	152	9	k+	k+	NOUN
ejpam-728	152	10	q	q	NOUN
ejpam-728	152	11	)	)	PUNCT
ejpam-728	153	1	=	=	SYM
ejpam-728	153	2	k	k	X
ejpam-728	153	3	!	!	PUNCT
ejpam-728	154	1	(	(	PUNCT
ejpam-728	154	2	k+	k+	NOUN
ejpam-728	154	3	q	q	NOUN
ejpam-728	154	4	)	)	PUNCT
ejpam-728	154	5	!	!	PUNCT
ejpam-728	155	1			PROPN
ejpam-728	155	2			NUM
ejpam-728	155	3	1	1	NUM
ejpam-728	155	4	(	(	PUNCT
ejpam-728	155	5	1−	1−	NUM
ejpam-728	155	6	1	1	NUM
ejpam-728	155	7	m	m	NOUN
ejpam-728	155	8	)	)	PUNCT
ejpam-728	155	9	q	q	PROPN
ejpam-728	155	10	!	!	PUNCT
ejpam-728	156	1	�	�	PROPN
ejpam-728	156	2	(	(	PUNCT
ejpam-728	156	3	−1)k	−1)k	PROPN
ejpam-728	156	4	k	k	PROPN
ejpam-728	156	5	!	!	PUNCT
ejpam-728	156	6	�	�	PROPN
ejpam-728	156	7	k!y	k!y	PROPN
ejpam-728	156	8	(	(	PUNCT
ejpam-728	156	9	k	k	NOUN
ejpam-728	156	10	)	)	PUNCT
ejpam-728	156	11			PROPN
ejpam-728	156	12			PROPN
ejpam-728	156	13	k=1,3,5	k=1,3,5	NOUN
ejpam-728	156	14	,	,	PUNCT
ejpam-728	156	15	...	...	PUNCT
ejpam-728	156	16	if	if	SCONJ
ejpam-728	156	17	n=	n=	ADJ
ejpam-728	156	18	q+	q+	ADP
ejpam-728	156	19	1	1	NUM
ejpam-728	156	20	then	then	ADV
ejpam-728	156	21	,	,	PUNCT
ejpam-728	156	22	y	y	PROPN
ejpam-728	156	23	(	(	PUNCT
ejpam-728	156	24	k+	k+	X
ejpam-728	156	25	q+	q+	ADP
ejpam-728	156	26	1	1	NUM
ejpam-728	156	27	)	)	PUNCT
ejpam-728	156	28	=	=	SYM
ejpam-728	157	1	k	k	X
ejpam-728	157	2	!	!	PUNCT
ejpam-728	158	1	(	(	PUNCT
ejpam-728	158	2	k+	k+	NOUN
ejpam-728	158	3	q+	q+	ADV
ejpam-728	158	4	1	1	NUM
ejpam-728	158	5	)	)	PUNCT
ejpam-728	158	6	!	!	PUNCT
ejpam-728	159	1			PROPN
ejpam-728	159	2			NUM
ejpam-728	159	3	1	1	NUM
ejpam-728	159	4	(	(	PUNCT
ejpam-728	159	5	1	1	NUM
ejpam-728	159	6	m	m	NOUN
ejpam-728	159	7	−	−	NOUN
ejpam-728	159	8	1)q+1	1)q+1	NUM
ejpam-728	159	9	!	!	PUNCT
ejpam-728	160	1	�	�	PROPN
ejpam-728	160	2	(	(	PUNCT
ejpam-728	160	3	−1)k	−1)k	PROPN
ejpam-728	160	4	k	k	PROPN
ejpam-728	160	5	!	!	PUNCT
ejpam-728	160	6	�	�	PROPN
ejpam-728	160	7	k!y	k!y	PROPN
ejpam-728	160	8	(	(	PUNCT
ejpam-728	160	9	k	k	NOUN
ejpam-728	160	10	)	)	PUNCT
ejpam-728	161	1			PROPN
ejpam-728	161	2			PROPN
ejpam-728	161	3	k=0,2,4	k=0,2,4	NOUN
ejpam-728	161	4	,	,	PUNCT
ejpam-728	161	5	...	...	PUNCT
ejpam-728	161	6	and	and	CCONJ
ejpam-728	161	7	y	y	PROPN
ejpam-728	161	8	(	(	PUNCT
ejpam-728	161	9	k+	k+	X
ejpam-728	161	10	q+	q+	ADP
ejpam-728	161	11	1	1	NUM
ejpam-728	161	12	)	)	PUNCT
ejpam-728	162	1	=	=	SYM
ejpam-728	162	2	k	k	X
ejpam-728	162	3	!	!	PUNCT
ejpam-728	163	1	(	(	PUNCT
ejpam-728	163	2	k+	k+	NOUN
ejpam-728	163	3	q+	q+	ADV
ejpam-728	163	4	1	1	NUM
ejpam-728	163	5	)	)	PUNCT
ejpam-728	163	6	!	!	PUNCT
ejpam-728	164	1			PROPN
ejpam-728	164	2			NUM
ejpam-728	164	3	1	1	NUM
ejpam-728	164	4	(	(	PUNCT
ejpam-728	164	5	1−	1−	NUM
ejpam-728	164	6	1	1	NUM
ejpam-728	164	7	m	m	NOUN
ejpam-728	164	8	)	)	PUNCT
ejpam-728	164	9	q+1	q+1	PROPN
ejpam-728	164	10	!	!	PUNCT
ejpam-728	164	11	�	�	PROPN
ejpam-728	164	12	(	(	PUNCT
ejpam-728	164	13	−1)k	−1)k	PROPN
ejpam-728	164	14	k	k	PROPN
ejpam-728	164	15	!	!	PUNCT
ejpam-728	164	16	�	�	PROPN
ejpam-728	164	17	k!y	k!y	PROPN
ejpam-728	164	18	(	(	PUNCT
ejpam-728	164	19	k	k	NOUN
ejpam-728	164	20	)	)	PUNCT
ejpam-728	164	21			PROPN
ejpam-728	164	22			PROPN
ejpam-728	164	23	k=1,3,5	k=1,3,5	NOUN
ejpam-728	164	24	,	,	PUNCT
ejpam-728	164	25	...	...	PUNCT
ejpam-728	164	26	the	the	DET
ejpam-728	164	27	above	above	ADJ
ejpam-728	164	28	calculations	calculation	NOUN
ejpam-728	164	29	suggest	suggest	VERB
ejpam-728	164	30	that	that	SCONJ
ejpam-728	164	31	the	the	DET
ejpam-728	164	32	general	general	ADJ
ejpam-728	164	33	case	case	NOUN
ejpam-728	164	34	by	by	ADP
ejpam-728	164	35	using	use	VERB
ejpam-728	164	36	the	the	DET
ejpam-728	164	37	induction	induction	NOUN
ejpam-728	164	38	method	method	NOUN
ejpam-728	164	39	can	can	AUX
ejpam-728	164	40	be	be	AUX
ejpam-728	164	41	proved	prove	VERB
ejpam-728	164	42	and	and	CCONJ
ejpam-728	164	43	is	be	AUX
ejpam-728	164	44	given	give	VERB
ejpam-728	164	45	as	as	ADP
ejpam-728	164	46	the	the	DET
ejpam-728	164	47	following	follow	VERB
ejpam-728	164	48	theorem	theorem	NOUN
ejpam-728	164	49	.	.	PUNCT
ejpam-728	164	50	theorem	theorem	PROPN
ejpam-728	164	51	12	12	NUM
ejpam-728	164	52	.	.	PUNCT
ejpam-728	165	1	let	let	VERB
ejpam-728	165	2	y(x	y(x	NOUN
ejpam-728	165	3	)	)	PUNCT
ejpam-728	166	1	is	be	AUX
ejpam-728	166	2	transformable	transformable	ADJ
ejpam-728	166	3	then	then	ADV
ejpam-728	166	4	solution	solution	NOUN
ejpam-728	166	5	to	to	ADP
ejpam-728	166	6	the	the	DET
ejpam-728	166	7	high	high	ADJ
ejpam-728	166	8	order	order	NOUN
ejpam-728	166	9	differential	differential	NOUN
ejpam-728	166	10	equation	equation	NOUN
ejpam-728	166	11	y(n)(x	y(n)(x	NOUN
ejpam-728	166	12	)	)	PUNCT
ejpam-728	166	13	=	=	PUNCT
ejpam-728	167	1	e−x	e−x	NUM
ejpam-728	167	2	y	y	PROPN
ejpam-728	167	3	1	1	NUM
ejpam-728	167	4	m	m	VERB
ejpam-728	167	5	(	(	PUNCT
ejpam-728	167	6	x	x	NOUN
ejpam-728	167	7	)	)	PUNCT
ejpam-728	167	8	is	be	AUX
ejpam-728	167	9	given	give	VERB
ejpam-728	167	10	by	by	ADP
ejpam-728	167	11	y	y	PROPN
ejpam-728	167	12	(	(	PUNCT
ejpam-728	167	13	k+	k+	NOUN
ejpam-728	167	14	n	n	CCONJ
ejpam-728	167	15	)	)	PUNCT
ejpam-728	167	16	=	=	SYM
ejpam-728	168	1	k	k	X
ejpam-728	168	2	!	!	PUNCT
ejpam-728	168	3	(	(	PUNCT
ejpam-728	168	4	k+	k+	NOUN
ejpam-728	168	5	n	n	CCONJ
ejpam-728	168	6	)	)	PUNCT
ejpam-728	168	7	!	!	PUNCT
ejpam-728	169	1			PROPN
ejpam-728	169	2			NUM
ejpam-728	169	3	1	1	NUM
ejpam-728	169	4	(	(	PUNCT
ejpam-728	169	5	1	1	NUM
ejpam-728	169	6	m	m	NOUN
ejpam-728	169	7	−	−	NOUN
ejpam-728	169	8	1)n	1)n	NUM
ejpam-728	169	9	!	!	PUNCT
ejpam-728	170	1	�	�	PROPN
ejpam-728	170	2	(	(	PUNCT
ejpam-728	170	3	−1)k	−1)k	PROPN
ejpam-728	170	4	k	k	PROPN
ejpam-728	170	5	!	!	PUNCT
ejpam-728	170	6	�	�	PROPN
ejpam-728	170	7	k!y	k!y	PROPN
ejpam-728	170	8	(	(	PUNCT
ejpam-728	170	9	k	k	NOUN
ejpam-728	170	10	)	)	PUNCT
ejpam-728	171	1			PROPN
ejpam-728	171	2			PROPN
ejpam-728	171	3	k=0,2,4	k=0,2,4	NOUN
ejpam-728	171	4	,	,	PUNCT
ejpam-728	171	5	...	...	PUNCT
ejpam-728	172	1	y	y	PROPN
ejpam-728	172	2	(	(	PUNCT
ejpam-728	172	3	k+	k+	NOUN
ejpam-728	172	4	n	n	CCONJ
ejpam-728	172	5	)	)	PUNCT
ejpam-728	172	6	=	=	SYM
ejpam-728	173	1	k	k	X
ejpam-728	173	2	!	!	PUNCT
ejpam-728	173	3	(	(	PUNCT
ejpam-728	173	4	k+	k+	NOUN
ejpam-728	173	5	n	n	CCONJ
ejpam-728	173	6	)	)	PUNCT
ejpam-728	173	7	!	!	PUNCT
ejpam-728	174	1			PROPN
ejpam-728	174	2			NUM
ejpam-728	174	3	1	1	NUM
ejpam-728	174	4	(	(	PUNCT
ejpam-728	174	5	1−	1−	NUM
ejpam-728	174	6	1	1	NUM
ejpam-728	174	7	m	m	NOUN
ejpam-728	174	8	)	)	PUNCT
ejpam-728	174	9	n	n	PROPN
ejpam-728	174	10	!	!	PUNCT
ejpam-728	174	11	�	�	PROPN
ejpam-728	174	12	(	(	PUNCT
ejpam-728	174	13	−1)k	−1)k	PROPN
ejpam-728	174	14	k	k	PROPN
ejpam-728	174	15	!	!	PUNCT
ejpam-728	174	16	�	�	PROPN
ejpam-728	174	17	k!y	k!y	PROPN
ejpam-728	174	18	(	(	PUNCT
ejpam-728	174	19	k	k	NOUN
ejpam-728	174	20	)	)	PUNCT
ejpam-728	174	21			PROPN
ejpam-728	174	22			PROPN
ejpam-728	174	23	k=1,3,5	k=1,3,5	NOUN
ejpam-728	174	24	,	,	PUNCT
ejpam-728	174	25	...	...	PUNCT
ejpam-728	174	26	.	.	PUNCT
ejpam-728	175	1	in	in	ADP
ejpam-728	175	2	this	this	DET
ejpam-728	175	3	research	research	NOUN
ejpam-728	175	4	,	,	PUNCT
ejpam-728	175	5	we	we	PRON
ejpam-728	175	6	study	study	VERB
ejpam-728	175	7	nth	nth	ADJ
ejpam-728	175	8	-	-	PUNCT
ejpam-728	175	9	order	order	NOUN
ejpam-728	175	10	boundary	boundary	ADJ
ejpam-728	175	11	value	value	NOUN
ejpam-728	175	12	problems	problem	NOUN
ejpam-728	175	13	having	have	VERB
ejpam-728	175	14	fractional	fractional	ADJ
ejpam-728	175	15	-	-	PUNCT
ejpam-728	175	16	order	order	NOUN
ejpam-728	175	17	with	with	ADP
ejpam-728	175	18	nonlinear	nonlinear	ADJ
ejpam-728	175	19	functions	function	NOUN
ejpam-728	175	20	.	.	PUNCT
ejpam-728	176	1	we	we	PRON
ejpam-728	176	2	also	also	ADV
ejpam-728	176	3	compute	compute	VERB
ejpam-728	176	4	error	error	NOUN
ejpam-728	176	5	between	between	ADP
ejpam-728	176	6	exact	exact	ADJ
ejpam-728	176	7	solution	solution	NOUN
ejpam-728	176	8	and	and	CCONJ
ejpam-728	176	9	differential	differential	ADJ
ejpam-728	176	10	transformation	transformation	NOUN
ejpam-728	176	11	method	method	NOUN
ejpam-728	176	12	(	(	PUNCT
ejpam-728	176	13	dtm	dtm	PROPN
ejpam-728	176	14	)	)	PUNCT
ejpam-728	176	15	.	.	PUNCT
ejpam-728	177	1	c.	c.	PROPN
ejpam-728	177	2	hussin	hussin	PROPN
ejpam-728	177	3	,	,	PUNCT
ejpam-728	177	4	a.	a.	PROPN
ejpam-728	177	5	kılıçman	kılıçman	PROPN
ejpam-728	177	6	/	/	SYM
ejpam-728	177	7	eur	eur	PROPN
ejpam-728	177	8	.	.	PUNCT
ejpam-728	178	1	j.	j.	PROPN
ejpam-728	178	2	pure	pure	PROPN
ejpam-728	178	3	appl	appl	PROPN
ejpam-728	178	4	.	.	PROPN
ejpam-728	178	5	math	math	PROPN
ejpam-728	178	6	,	,	PUNCT
ejpam-728	178	7	4	4	NUM
ejpam-728	178	8	(	(	PUNCT
ejpam-728	178	9	2011	2011	NUM
ejpam-728	178	10	)	)	PUNCT
ejpam-728	178	11	,	,	PUNCT
ejpam-728	178	12	174	174	NUM
ejpam-728	178	13	-	-	SYM
ejpam-728	178	14	185	185	NUM
ejpam-728	178	15	179	179	NUM
ejpam-728	178	16	4	4	NUM
ejpam-728	178	17	.	.	PUNCT
ejpam-728	178	18	numerical	numerical	ADJ
ejpam-728	178	19	examples	example	NOUN
ejpam-728	178	20	in	in	ADP
ejpam-728	178	21	this	this	DET
ejpam-728	178	22	section	section	NOUN
ejpam-728	178	23	,	,	PUNCT
ejpam-728	178	24	we	we	PRON
ejpam-728	178	25	provide	provide	VERB
ejpam-728	178	26	three	three	NUM
ejpam-728	178	27	examples	example	NOUN
ejpam-728	178	28	to	to	PART
ejpam-728	178	29	make	make	VERB
ejpam-728	178	30	better	well	ADJ
ejpam-728	178	31	understanding	understanding	NOUN
ejpam-728	178	32	to	to	ADP
ejpam-728	178	33	the	the	DET
ejpam-728	178	34	theorem	theorem	PROPN
ejpam-728	178	35	.	.	PROPN
ejpam-728	178	36	example	example	NOUN
ejpam-728	178	37	1	1	NUM
ejpam-728	178	38	first	first	ADV
ejpam-728	178	39	,	,	PUNCT
ejpam-728	178	40	we	we	PRON
ejpam-728	178	41	take	take	VERB
ejpam-728	178	42	the	the	DET
ejpam-728	178	43	case	case	NOUN
ejpam-728	178	44	of	of	ADP
ejpam-728	178	45	fractional	fractional	NOUN
ejpam-728	178	46	in	in	ADP
ejpam-728	178	47	form	form	NOUN
ejpam-728	178	48	1	1	NUM
ejpam-728	178	49	2	2	NUM
ejpam-728	178	50	order	order	NOUN
ejpam-728	178	51	for	for	ADP
ejpam-728	178	52	fifth	fifth	ADJ
ejpam-728	178	53	order	order	NOUN
ejpam-728	178	54	bvp	bvp	NOUN
ejpam-728	178	55	.	.	PUNCT
ejpam-728	179	1	y(5	y(5	PROPN
ejpam-728	179	2	)	)	PUNCT
ejpam-728	180	1	=	=	PUNCT
ejpam-728	180	2	e−x	e−x	NOUN
ejpam-728	180	3	p	p	PROPN
ejpam-728	180	4	y	y	PROPN
ejpam-728	180	5	(	(	PUNCT
ejpam-728	180	6	x	x	X
ejpam-728	180	7	)	)	PUNCT
ejpam-728	180	8	0	0	NUM
ejpam-728	180	9	<	<	X
ejpam-728	180	10	x	x	X
ejpam-728	180	11	<	<	X
ejpam-728	180	12	1	1	NUM
ejpam-728	180	13	(	(	PUNCT
ejpam-728	180	14	7	7	NUM
ejpam-728	180	15	)	)	PUNCT
ejpam-728	180	16	subject	subject	NOUN
ejpam-728	180	17	to	to	ADP
ejpam-728	180	18	the	the	DET
ejpam-728	180	19	boundary	boundary	ADJ
ejpam-728	180	20	conditions	condition	NOUN
ejpam-728	180	21	y(0	y(0	PROPN
ejpam-728	180	22	)	)	PUNCT
ejpam-728	180	23	=	=	SYM
ejpam-728	180	24	1	1	NUM
ejpam-728	180	25	,	,	PUNCT
ejpam-728	180	26	y	y	PROPN
ejpam-728	180	27	′(0	′(0	PROPN
ejpam-728	180	28	)	)	PUNCT
ejpam-728	181	1	=	=	SYM
ejpam-728	181	2	−2	−2	NOUN
ejpam-728	181	3	,	,	PUNCT
ejpam-728	181	4	y	y	PROPN
ejpam-728	181	5	′′(0	′′(0	PROPN
ejpam-728	181	6	)	)	PUNCT
ejpam-728	181	7	=	=	SYM
ejpam-728	181	8	4	4	NUM
ejpam-728	181	9	,	,	PUNCT
ejpam-728	181	10	y(1	y(1	PROPN
ejpam-728	181	11	)	)	PUNCT
ejpam-728	181	12	=	=	SYM
ejpam-728	181	13	e−2	e−2	PROPN
ejpam-728	181	14	,	,	PUNCT
ejpam-728	181	15	y	y	PROPN
ejpam-728	181	16	′(1	′(1	PROPN
ejpam-728	181	17	)	)	PUNCT
ejpam-728	181	18	=	=	SYM
ejpam-728	181	19	−2e−2	−2e−2	PROPN
ejpam-728	181	20	.	.	PUNCT
ejpam-728	182	1	(	(	PUNCT
ejpam-728	182	2	8)	8)	NUM
ejpam-728	182	3	applying	apply	VERB
ejpam-728	182	4	eq	eq	ADP
ejpam-728	182	5	.	.	PUNCT
ejpam-728	183	1	(	(	PUNCT
ejpam-728	183	2	8)	8)	NUM
ejpam-728	183	3	to	to	ADP
ejpam-728	183	4	eq	eq	NOUN
ejpam-728	183	5	.	.	PUNCT
ejpam-728	184	1	(	(	PUNCT
ejpam-728	184	2	1	1	X
ejpam-728	184	3	)	)	PUNCT
ejpam-728	184	4	at	at	ADP
ejpam-728	184	5	x	x	X
ejpam-728	184	6	=	=	SYM
ejpam-728	184	7	0	0	NUM
ejpam-728	184	8	,	,	PUNCT
ejpam-728	184	9	the	the	DET
ejpam-728	184	10	following	follow	VERB
ejpam-728	184	11	transformed	transform	VERB
ejpam-728	184	12	boundary	boundary	ADJ
ejpam-728	184	13	conditions	condition	NOUN
ejpam-728	184	14	can	can	AUX
ejpam-728	184	15	be	be	AUX
ejpam-728	184	16	obtained	obtain	VERB
ejpam-728	184	17	y	y	PROPN
ejpam-728	184	18	(	(	PUNCT
ejpam-728	184	19	0	0	NUM
ejpam-728	184	20	)	)	PUNCT
ejpam-728	184	21	=	=	SYM
ejpam-728	185	1	1	1	NUM
ejpam-728	185	2	,	,	PUNCT
ejpam-728	185	3	y	y	PROPN
ejpam-728	185	4	(	(	PUNCT
ejpam-728	185	5	1	1	NUM
ejpam-728	185	6	)	)	PUNCT
ejpam-728	186	1	=	=	SYM
ejpam-728	186	2	−2	−2	NOUN
ejpam-728	186	3	,	,	PUNCT
ejpam-728	186	4	y	y	PROPN
ejpam-728	186	5	(	(	PUNCT
ejpam-728	186	6	2	2	NUM
ejpam-728	186	7	)	)	PUNCT
ejpam-728	186	8	=	=	SYM
ejpam-728	186	9	2	2	X
ejpam-728	186	10	.	.	PUNCT
ejpam-728	186	11	(	(	PUNCT
ejpam-728	186	12	9	9	NUM
ejpam-728	186	13	)	)	PUNCT
ejpam-728	186	14	by	by	ADP
ejpam-728	186	15	using	use	VERB
ejpam-728	186	16	differential	differential	ADJ
ejpam-728	186	17	transform	transform	NOUN
ejpam-728	186	18	properties	property	NOUN
ejpam-728	186	19	in	in	ADP
ejpam-728	186	20	theorem	theorem	NOUN
ejpam-728	186	21	(	(	PUNCT
ejpam-728	186	22	13	13	NUM
ejpam-728	186	23	)	)	PUNCT
ejpam-728	186	24	to	to	ADP
ejpam-728	186	25	eq	eq	NOUN
ejpam-728	186	26	.	.	PUNCT
ejpam-728	187	1	(	(	PUNCT
ejpam-728	187	2	7	7	NUM
ejpam-728	187	3	)	)	PUNCT
ejpam-728	187	4	then	then	ADV
ejpam-728	187	5	the	the	DET
ejpam-728	187	6	transformed	transform	VERB
ejpam-728	187	7	equation	equation	NOUN
ejpam-728	187	8	is	be	AUX
ejpam-728	187	9	given	give	VERB
ejpam-728	187	10	by	by	ADP
ejpam-728	187	11	y	y	PROPN
ejpam-728	187	12	(	(	PUNCT
ejpam-728	187	13	k+	k+	NOUN
ejpam-728	187	14	5	5	X
ejpam-728	187	15	)	)	PUNCT
ejpam-728	187	16	=	=	SYM
ejpam-728	188	1	k	k	X
ejpam-728	188	2	!	!	PUNCT
ejpam-728	189	1	(	(	PUNCT
ejpam-728	189	2	k+	k+	NOUN
ejpam-728	189	3	5	5	NUM
ejpam-728	189	4	)	)	PUNCT
ejpam-728	189	5	!	!	PUNCT
ejpam-728	190	1			PROPN
ejpam-728	190	2			NOUN
ejpam-728	190	3			NUM
ejpam-728	190	4			NOUN
ejpam-728	190	5			NOUN
ejpam-728	190	6			NOUN
ejpam-728	190	7	1	1	NUM
ejpam-728	190	8	�	�	NOUN
ejpam-728	190	9	−1	−1	NOUN
ejpam-728	190	10	2	2	NUM
ejpam-728	190	11	�	�	PROPN
ejpam-728	190	12	5	5	NUM
ejpam-728	190	13			NOUN
ejpam-728	190	14			NOUN
ejpam-728	190	15			PUNCT
ejpam-728	190	16	�	�	PROPN
ejpam-728	190	17	(	(	PUNCT
ejpam-728	190	18	−1)k	−1)k	PROPN
ejpam-728	190	19	k	k	PROPN
ejpam-728	190	20	!	!	PUNCT
ejpam-728	190	21	�	�	PROPN
ejpam-728	190	22	k!y	k!y	PROPN
ejpam-728	190	23	(	(	PUNCT
ejpam-728	190	24	k	k	NOUN
ejpam-728	190	25	)	)	PUNCT
ejpam-728	190	26			PROPN
ejpam-728	190	27			PROPN
ejpam-728	190	28			PROPN
ejpam-728	190	29	k=0,2,4	k=0,2,4	NOUN
ejpam-728	190	30	,	,	PUNCT
ejpam-728	190	31	...	...	PUNCT
ejpam-728	190	32	and	and	CCONJ
ejpam-728	190	33	y	y	PROPN
ejpam-728	190	34	(	(	PUNCT
ejpam-728	190	35	k+	k+	NOUN
ejpam-728	190	36	5	5	X
ejpam-728	190	37	)	)	PUNCT
ejpam-728	190	38	=	=	SYM
ejpam-728	191	1	k	k	X
ejpam-728	191	2	!	!	PUNCT
ejpam-728	192	1	(	(	PUNCT
ejpam-728	192	2	k+	k+	NOUN
ejpam-728	192	3	5	5	NUM
ejpam-728	192	4	)	)	PUNCT
ejpam-728	192	5	!	!	PUNCT
ejpam-728	193	1			PROPN
ejpam-728	193	2			NOUN
ejpam-728	193	3			NUM
ejpam-728	193	4			NOUN
ejpam-728	193	5			NOUN
ejpam-728	193	6			NOUN
ejpam-728	193	7	1	1	NUM
ejpam-728	193	8	�	�	PROPN
ejpam-728	193	9	1	1	NUM
ejpam-728	193	10	2	2	NUM
ejpam-728	193	11	�	�	PROPN
ejpam-728	193	12	5	5	NUM
ejpam-728	193	13			NOUN
ejpam-728	193	14			NOUN
ejpam-728	193	15			PUNCT
ejpam-728	193	16	�	�	PROPN
ejpam-728	193	17	(	(	PUNCT
ejpam-728	193	18	−1)k	−1)k	PROPN
ejpam-728	193	19	k	k	PROPN
ejpam-728	193	20	!	!	PUNCT
ejpam-728	193	21	�	�	PROPN
ejpam-728	193	22	k!y	k!y	PROPN
ejpam-728	193	23	(	(	PUNCT
ejpam-728	193	24	k	k	NOUN
ejpam-728	193	25	)	)	PUNCT
ejpam-728	193	26			PROPN
ejpam-728	193	27			PROPN
ejpam-728	193	28			PROPN
ejpam-728	193	29	k=1,3,5	k=1,3,5	NOUN
ejpam-728	193	30	,	,	PUNCT
ejpam-728	193	31	...	...	PUNCT
ejpam-728	193	32	(	(	PUNCT
ejpam-728	193	33	10	10	NUM
ejpam-728	193	34	)	)	PUNCT
ejpam-728	193	35	which	which	PRON
ejpam-728	193	36	is	be	AUX
ejpam-728	193	37	based	base	VERB
ejpam-728	193	38	on	on	ADP
ejpam-728	193	39	eq	eq	ADP
ejpam-728	193	40	.	.	PUNCT
ejpam-728	194	1	(	(	PUNCT
ejpam-728	194	2	1	1	NUM
ejpam-728	194	3	)	)	PUNCT
ejpam-728	194	4	,	,	PUNCT
ejpam-728	194	5	t	t	PROPN
ejpam-728	194	6	=	=	SYM
ejpam-728	194	7	y′′′(0	y′′′(0	NOUN
ejpam-728	194	8	)	)	PUNCT
ejpam-728	194	9	3	3	NUM
ejpam-728	194	10	!	!	PUNCT
ejpam-728	195	1	=	=	SYM
ejpam-728	195	2	y	y	PROPN
ejpam-728	195	3	(	(	PUNCT
ejpam-728	195	4	3	3	NUM
ejpam-728	195	5	)	)	PUNCT
ejpam-728	195	6	and	and	CCONJ
ejpam-728	195	7	w	w	NOUN
ejpam-728	195	8	=	=	SYM
ejpam-728	195	9	y(4)(0	y(4)(0	ADJ
ejpam-728	195	10	)	)	PUNCT
ejpam-728	195	11	4	4	NUM
ejpam-728	195	12	!	!	PUNCT
ejpam-728	195	13	=	=	SYM
ejpam-728	196	1	y	y	PROPN
ejpam-728	196	2	(	(	PUNCT
ejpam-728	196	3	4	4	NUM
ejpam-728	196	4	)	)	PUNCT
ejpam-728	196	5	.	.	PUNCT
ejpam-728	197	1	using	use	VERB
ejpam-728	197	2	the	the	DET
ejpam-728	197	3	transformed	transform	VERB
ejpam-728	197	4	boundary	boundary	ADJ
ejpam-728	197	5	conditions	condition	NOUN
ejpam-728	197	6	in	in	ADP
ejpam-728	197	7	eq	eq	ADP
ejpam-728	197	8	.	.	PUNCT
ejpam-728	198	1	(	(	PUNCT
ejpam-728	198	2	9	9	NUM
ejpam-728	198	3	)	)	PUNCT
ejpam-728	198	4	and	and	CCONJ
ejpam-728	198	5	transformed	transform	VERB
ejpam-728	198	6	equation	equation	NOUN
ejpam-728	198	7	in	in	ADP
ejpam-728	198	8	eq	eq	ADP
ejpam-728	198	9	.	.	PUNCT
ejpam-728	199	1	(	(	PUNCT
ejpam-728	199	2	10	10	NUM
ejpam-728	199	3	)	)	PUNCT
ejpam-728	199	4	,	,	PUNCT
ejpam-728	199	5	we	we	PRON
ejpam-728	199	6	can	can	AUX
ejpam-728	199	7	get	get	VERB
ejpam-728	199	8	the	the	DET
ejpam-728	199	9	solution	solution	NOUN
ejpam-728	199	10	for	for	ADP
ejpam-728	199	11	y	y	PROPN
ejpam-728	199	12	(	(	PUNCT
ejpam-728	199	13	k	k	PROPN
ejpam-728	199	14	)	)	PUNCT
ejpam-728	199	15	,	,	PUNCT
ejpam-728	199	16	k	k	X
ejpam-728	199	17	≥	≥	NUM
ejpam-728	199	18	5	5	NUM
ejpam-728	199	19	easily	easily	ADV
ejpam-728	199	20	.	.	PUNCT
ejpam-728	200	1	the	the	DET
ejpam-728	200	2	values	value	NOUN
ejpam-728	200	3	of	of	ADP
ejpam-728	200	4	t	t	PROPN
ejpam-728	200	5	and	and	CCONJ
ejpam-728	200	6	w	w	PROPN
ejpam-728	200	7	can	can	AUX
ejpam-728	200	8	be	be	AUX
ejpam-728	200	9	evaluated	evaluate	VERB
ejpam-728	200	10	by	by	ADP
ejpam-728	200	11	using	use	VERB
ejpam-728	200	12	boundary	boundary	ADJ
ejpam-728	200	13	conditions	condition	NOUN
ejpam-728	200	14	in	in	ADP
ejpam-728	200	15	eq	eq	ADP
ejpam-728	200	16	.	.	PUNCT
ejpam-728	201	1	(	(	PUNCT
ejpam-728	201	2	8)	8)	NUM
ejpam-728	201	3	at	at	ADP
ejpam-728	201	4	x	x	X
ejpam-728	201	5	=	=	SYM
ejpam-728	201	6	1	1	NUM
ejpam-728	201	7	for	for	ADP
ejpam-728	201	8	n	n	NOUN
ejpam-728	201	9	=	=	SYM
ejpam-728	201	10	20	20	NUM
ejpam-728	201	11	by	by	ADP
ejpam-728	201	12	solving	solve	VERB
ejpam-728	201	13	two	two	NUM
ejpam-728	201	14	equations	equation	NOUN
ejpam-728	201	15	such	such	ADJ
ejpam-728	201	16	as	as	ADP
ejpam-728	201	17	:	:	PUNCT
ejpam-728	201	18	21	21	NUM
ejpam-728	201	19	∑	∑	PROPN
ejpam-728	201	20	k=0	k=0	PROPN
ejpam-728	201	21	y	y	PROPN
ejpam-728	201	22	(	(	PUNCT
ejpam-728	201	23	k	k	NOUN
ejpam-728	201	24	)	)	PUNCT
ejpam-728	201	25	=	=	SYM
ejpam-728	201	26	e−2	e−2	PROPN
ejpam-728	201	27	and	and	CCONJ
ejpam-728	201	28	21	21	NUM
ejpam-728	201	29	∑	∑	PROPN
ejpam-728	201	30	k=0	k=0	PROPN
ejpam-728	201	31	ky	ky	PROPN
ejpam-728	201	32	(	(	PUNCT
ejpam-728	201	33	k	k	NOUN
ejpam-728	201	34	)	)	PUNCT
ejpam-728	201	35	=	=	SYM
ejpam-728	201	36	−2e−2	−2e−2	PROPN
ejpam-728	201	37	.	.	PUNCT
ejpam-728	202	1	these	these	DET
ejpam-728	202	2	two	two	NUM
ejpam-728	202	3	equations	equation	NOUN
ejpam-728	202	4	give	give	VERB
ejpam-728	202	5	t	t	NOUN
ejpam-728	202	6	=	=	PUNCT
ejpam-728	202	7	−1.333333333	−1.333333333	ADJ
ejpam-728	202	8	and	and	CCONJ
ejpam-728	202	9	w	w	PROPN
ejpam-728	202	10	=	=	NOUN
ejpam-728	202	11	0.6666666668	0.6666666668	NUM
ejpam-728	202	12	.	.	PUNCT
ejpam-728	203	1	as	as	ADP
ejpam-728	203	2	a	a	DET
ejpam-728	203	3	result	result	NOUN
ejpam-728	203	4	the	the	DET
ejpam-728	203	5	following	follow	VERB
ejpam-728	203	6	series	series	NOUN
ejpam-728	203	7	solution	solution	NOUN
ejpam-728	203	8	can	can	AUX
ejpam-728	203	9	be	be	AUX
ejpam-728	203	10	formed	form	VERB
ejpam-728	203	11	by	by	ADP
ejpam-728	203	12	applying	apply	VERB
ejpam-728	203	13	the	the	DET
ejpam-728	203	14	inverse	inverse	NOUN
ejpam-728	203	15	transformation	transformation	NOUN
ejpam-728	203	16	equation	equation	NOUN
ejpam-728	203	17	in	in	ADP
ejpam-728	203	18	eq	eq	ADP
ejpam-728	203	19	.	.	PUNCT
ejpam-728	204	1	(	(	PUNCT
ejpam-728	204	2	2	2	NUM
ejpam-728	204	3	)	)	PUNCT
ejpam-728	204	4	up	up	ADP
ejpam-728	204	5	to	to	ADP
ejpam-728	204	6	n	n	NOUN
ejpam-728	204	7	=	=	SYM
ejpam-728	204	8	20	20	NUM
ejpam-728	204	9	.	.	PUNCT
ejpam-728	205	1	y(x	y(x	NOUN
ejpam-728	205	2	)	)	PUNCT
ejpam-728	206	1	=	=	PRON
ejpam-728	206	2	1.0−	1.0−	NUM
ejpam-728	206	3	2.0x	2.0x	NUM
ejpam-728	206	4	+	+	NUM
ejpam-728	206	5	2.0x2−	2.0x2−	NUM
ejpam-728	206	6	1.333333333x3	1.333333333x3	NUM
ejpam-728	206	7	+	+	NUM
ejpam-728	206	8	0.6666666668x4−	0.6666666668x4−	NOUN
ejpam-728	206	9	0.2666666667x5	0.2666666667x5	NUM
ejpam-728	206	10	+	+	CCONJ
ejpam-728	206	11	0.08888888889x6−	0.08888888889x6−	NOUN
ejpam-728	206	12	0.02539682540x7	0.02539682540x7	NUM
ejpam-728	206	13	+	+	NOUN
ejpam-728	206	14	0.006349206348x8	0.006349206348x8	NUM
ejpam-728	206	15	−	−	NOUN
ejpam-728	206	16	0.001410934745x9	0.001410934745x9	NUM
ejpam-728	206	17	+	+	NUM
ejpam-728	206	18	0.0002821869489x10−	0.0002821869489x10−	PROPN
ejpam-728	206	19	0.00005130671797x11	0.00005130671797x11	NUM
ejpam-728	206	20	c.	c.	PROPN
ejpam-728	206	21	hussin	hussin	PROPN
ejpam-728	206	22	,	,	PUNCT
ejpam-728	206	23	a.	a.	PROPN
ejpam-728	206	24	kılıçman	kılıçman	PROPN
ejpam-728	206	25	/	/	SYM
ejpam-728	206	26	eur	eur	PROPN
ejpam-728	206	27	.	.	PUNCT
ejpam-728	207	1	j.	j.	PROPN
ejpam-728	207	2	pure	pure	PROPN
ejpam-728	207	3	appl	appl	PROPN
ejpam-728	207	4	.	.	PROPN
ejpam-728	207	5	math	math	PROPN
ejpam-728	207	6	,	,	PUNCT
ejpam-728	207	7	4	4	NUM
ejpam-728	207	8	(	(	PUNCT
ejpam-728	207	9	2011	2011	NUM
ejpam-728	207	10	)	)	PUNCT
ejpam-728	207	11	,	,	PUNCT
ejpam-728	207	12	174	174	NUM
ejpam-728	207	13	-	-	SYM
ejpam-728	207	14	185	185	NUM
ejpam-728	207	15	180	180	NUM
ejpam-728	207	16	+	+	NUM
ejpam-728	207	17	0.000008551119662x12−	0.000008551119662x12−	NUM
ejpam-728	207	18	0.000001315556871x13	0.000001315556871x13	NOUN
ejpam-728	208	1	+	+	CCONJ
ejpam-728	208	2	0.0000001879366960x14	0.0000001879366960x14	NOUN
ejpam-728	208	3	−	−	PROPN
ejpam-728	208	4	0.00000002505822612x15	0.00000002505822612x15	NOUN
ejpam-728	208	5	+	+	NUM
ejpam-728	208	6	0.000000003132278265x16	0.000000003132278265x16	NOUN
ejpam-728	208	7	−	−	PROPN
ejpam-728	208	8	0.0000000003685033252x17	0.0000000003685033252x17	NUM
ejpam-728	209	1	+	+	CCONJ
ejpam-728	209	2	4.094481391×	4.094481391×	NUM
ejpam-728	209	3	10−11	10−11	NUM
ejpam-728	209	4	x18	x18	NOUN
ejpam-728	209	5	−	−	PROPN
ejpam-728	209	6	4.309980415×	4.309980415×	NOUN
ejpam-728	209	7	10−12	10−12	NOUN
ejpam-728	209	8	x19	x19	NOUN
ejpam-728	209	9	+	+	CCONJ
ejpam-728	209	10	4.309980412×	4.309980412×	NUM
ejpam-728	209	11	10−13	10−13	NUM
ejpam-728	209	12	x20	x20	NOUN
ejpam-728	209	13	.	.	PUNCT
ejpam-728	210	1	example	example	NOUN
ejpam-728	210	2	2	2	NUM
ejpam-728	210	3	then	then	ADV
ejpam-728	210	4	,	,	PUNCT
ejpam-728	210	5	for	for	ADP
ejpam-728	210	6	example	example	NOUN
ejpam-728	210	7	2	2	NUM
ejpam-728	210	8	we	we	PRON
ejpam-728	210	9	consider	consider	VERB
ejpam-728	210	10	fractional	fractional	ADJ
ejpam-728	210	11	in	in	ADP
ejpam-728	210	12	form	form	NOUN
ejpam-728	210	13	1	1	NUM
ejpam-728	210	14	3	3	NUM
ejpam-728	210	15	order	order	NOUN
ejpam-728	210	16	for	for	ADP
ejpam-728	210	17	fifth	fifth	ADJ
ejpam-728	210	18	order	order	NOUN
ejpam-728	210	19	boundary	boundary	ADJ
ejpam-728	210	20	value	value	NOUN
ejpam-728	210	21	problems	problem	NOUN
ejpam-728	210	22	.	.	PUNCT
ejpam-728	211	1	for	for	ADP
ejpam-728	211	2	instance	instance	NOUN
ejpam-728	211	3	:	:	PUNCT
ejpam-728	211	4	y(5)(x	y(5)(x	NOUN
ejpam-728	211	5	)	)	PUNCT
ejpam-728	211	6	=	=	PUNCT
ejpam-728	212	1	ex	ex	X
ejpam-728	212	2	3	3	NUM
ejpam-728	212	3	p	p	NOUN
ejpam-728	212	4	(	(	PUNCT
ejpam-728	212	5	y(x	y(x	PROPN
ejpam-728	212	6	)	)	PUNCT
ejpam-728	212	7	)	)	PUNCT
ejpam-728	212	8	0	0	PUNCT
ejpam-728	212	9	<	<	X
ejpam-728	212	10	x	x	X
ejpam-728	212	11	<	<	X
ejpam-728	212	12	1	1	NUM
ejpam-728	212	13	(	(	PUNCT
ejpam-728	212	14	11	11	NUM
ejpam-728	212	15	)	)	PUNCT
ejpam-728	212	16	subject	subject	NOUN
ejpam-728	212	17	to	to	ADP
ejpam-728	212	18	the	the	DET
ejpam-728	212	19	boundary	boundary	ADJ
ejpam-728	212	20	conditions	condition	NOUN
ejpam-728	212	21	y(0	y(0	PROPN
ejpam-728	212	22	)	)	PUNCT
ejpam-728	212	23	=	=	SYM
ejpam-728	212	24	1	1	NUM
ejpam-728	212	25	,	,	PUNCT
ejpam-728	212	26	y	y	PROPN
ejpam-728	212	27	′(0	′(0	PROPN
ejpam-728	212	28	)	)	PUNCT
ejpam-728	213	1	=	=	SYM
ejpam-728	213	2	−	−	PROPN
ejpam-728	213	3	3	3	NUM
ejpam-728	213	4	2	2	NUM
ejpam-728	213	5	,	,	PUNCT
ejpam-728	213	6	y	y	PROPN
ejpam-728	213	7	′(0	′(0	PROPN
ejpam-728	213	8	)	)	PUNCT
ejpam-728	213	9	=	=	SYM
ejpam-728	213	10	9	9	NUM
ejpam-728	213	11	4	4	NUM
ejpam-728	213	12	,	,	PUNCT
ejpam-728	213	13	y(1	y(1	PROPN
ejpam-728	213	14	)	)	PUNCT
ejpam-728	213	15	=	=	VERB
ejpam-728	214	1	e−	e−	X
ejpam-728	214	2	3	3	NUM
ejpam-728	214	3	2	2	NUM
ejpam-728	214	4	,	,	PUNCT
ejpam-728	214	5	y	y	PROPN
ejpam-728	214	6	′(1	′(1	PROPN
ejpam-728	214	7	)	)	PUNCT
ejpam-728	214	8	=	=	PUNCT
ejpam-728	214	9	(	(	PUNCT
ejpam-728	214	10	−3/2)e−	−3/2)e−	NOUN
ejpam-728	214	11	3	3	NUM
ejpam-728	214	12	2	2	NUM
ejpam-728	214	13	.	.	PUNCT
ejpam-728	215	1	(	(	PUNCT
ejpam-728	215	2	12	12	NUM
ejpam-728	215	3	)	)	PUNCT
ejpam-728	215	4	applying	apply	VERB
ejpam-728	215	5	eq	eq	ADP
ejpam-728	215	6	.	.	PUNCT
ejpam-728	216	1	(	(	PUNCT
ejpam-728	216	2	12	12	NUM
ejpam-728	216	3	)	)	PUNCT
ejpam-728	216	4	to	to	ADP
ejpam-728	216	5	eq	eq	NOUN
ejpam-728	216	6	.	.	PUNCT
ejpam-728	217	1	(	(	PUNCT
ejpam-728	217	2	1	1	X
ejpam-728	217	3	)	)	PUNCT
ejpam-728	217	4	at	at	ADP
ejpam-728	217	5	x	x	X
ejpam-728	217	6	=	=	SYM
ejpam-728	217	7	0	0	NUM
ejpam-728	217	8	,	,	PUNCT
ejpam-728	217	9	the	the	DET
ejpam-728	217	10	following	follow	VERB
ejpam-728	217	11	transformed	transform	VERB
ejpam-728	217	12	boundary	boundary	ADJ
ejpam-728	217	13	conditions	condition	NOUN
ejpam-728	217	14	can	can	AUX
ejpam-728	217	15	be	be	AUX
ejpam-728	217	16	found	find	VERB
ejpam-728	217	17	y	y	PROPN
ejpam-728	217	18	(	(	PUNCT
ejpam-728	217	19	0	0	NUM
ejpam-728	217	20	)	)	PUNCT
ejpam-728	217	21	=	=	SYM
ejpam-728	217	22	1	1	NUM
ejpam-728	217	23	,	,	PUNCT
ejpam-728	217	24	y	y	PROPN
ejpam-728	217	25	(	(	PUNCT
ejpam-728	217	26	1	1	NUM
ejpam-728	217	27	)	)	PUNCT
ejpam-728	217	28	=	=	SYM
ejpam-728	218	1	−3	−3	PROPN
ejpam-728	218	2	2	2	NUM
ejpam-728	218	3	,	,	PUNCT
ejpam-728	218	4	y	y	PROPN
ejpam-728	218	5	(	(	PUNCT
ejpam-728	218	6	2	2	NUM
ejpam-728	218	7	)	)	PUNCT
ejpam-728	218	8	=	=	SYM
ejpam-728	218	9	9	9	NUM
ejpam-728	218	10	8	8	NUM
ejpam-728	218	11	.	.	PUNCT
ejpam-728	219	1	(	(	PUNCT
ejpam-728	219	2	13	13	NUM
ejpam-728	219	3	)	)	PUNCT
ejpam-728	219	4	next	next	ADV
ejpam-728	219	5	,	,	PUNCT
ejpam-728	219	6	by	by	ADP
ejpam-728	219	7	using	use	VERB
ejpam-728	219	8	differential	differential	ADJ
ejpam-728	219	9	transform	transform	NOUN
ejpam-728	219	10	properties	property	NOUN
ejpam-728	219	11	in	in	ADP
ejpam-728	219	12	theorem	theorem	NOUN
ejpam-728	219	13	(	(	PUNCT
ejpam-728	219	14	13	13	NUM
ejpam-728	219	15	)	)	PUNCT
ejpam-728	219	16	to	to	ADP
ejpam-728	219	17	eq	eq	NOUN
ejpam-728	219	18	.	.	PUNCT
ejpam-728	220	1	(	(	PUNCT
ejpam-728	220	2	11	11	NUM
ejpam-728	220	3	)	)	PUNCT
ejpam-728	220	4	then	then	ADV
ejpam-728	220	5	the	the	DET
ejpam-728	220	6	transformed	transform	VERB
ejpam-728	220	7	equation	equation	NOUN
ejpam-728	220	8	is	be	AUX
ejpam-728	220	9	given	give	VERB
ejpam-728	220	10	by	by	ADP
ejpam-728	220	11	y	y	PROPN
ejpam-728	220	12	(	(	PUNCT
ejpam-728	220	13	k+	k+	NOUN
ejpam-728	220	14	5	5	X
ejpam-728	220	15	)	)	PUNCT
ejpam-728	220	16	=	=	SYM
ejpam-728	221	1	k	k	X
ejpam-728	221	2	!	!	PUNCT
ejpam-728	222	1	(	(	PUNCT
ejpam-728	222	2	k+	k+	NOUN
ejpam-728	222	3	5	5	NUM
ejpam-728	222	4	)	)	PUNCT
ejpam-728	222	5	!	!	PUNCT
ejpam-728	223	1			PROPN
ejpam-728	223	2			NOUN
ejpam-728	223	3			NUM
ejpam-728	223	4			NOUN
ejpam-728	223	5			NOUN
ejpam-728	223	6			NOUN
ejpam-728	223	7	1	1	NUM
ejpam-728	223	8	�	�	PROPN
ejpam-728	223	9	−2	−2	PROPN
ejpam-728	223	10	3	3	NUM
ejpam-728	223	11	�	�	PROPN
ejpam-728	223	12	5	5	NUM
ejpam-728	223	13			NOUN
ejpam-728	223	14			NOUN
ejpam-728	223	15			PUNCT
ejpam-728	223	16	�	�	PROPN
ejpam-728	223	17	(	(	PUNCT
ejpam-728	223	18	−1)k	−1)k	PROPN
ejpam-728	223	19	k	k	PROPN
ejpam-728	223	20	!	!	PUNCT
ejpam-728	223	21	�	�	PROPN
ejpam-728	223	22	k!y	k!y	PROPN
ejpam-728	223	23	(	(	PUNCT
ejpam-728	223	24	k	k	NOUN
ejpam-728	223	25	)	)	PUNCT
ejpam-728	223	26			PROPN
ejpam-728	223	27			PROPN
ejpam-728	223	28			PROPN
ejpam-728	223	29	k=0,2,4	k=0,2,4	NOUN
ejpam-728	223	30	,	,	PUNCT
ejpam-728	223	31	...	...	PUNCT
ejpam-728	223	32	and	and	CCONJ
ejpam-728	223	33	y	y	PROPN
ejpam-728	223	34	(	(	PUNCT
ejpam-728	223	35	k+	k+	NOUN
ejpam-728	223	36	5	5	X
ejpam-728	223	37	)	)	PUNCT
ejpam-728	223	38	=	=	SYM
ejpam-728	224	1	k	k	X
ejpam-728	224	2	!	!	PUNCT
ejpam-728	225	1	(	(	PUNCT
ejpam-728	225	2	k+	k+	NOUN
ejpam-728	225	3	5	5	NUM
ejpam-728	225	4	)	)	PUNCT
ejpam-728	225	5	!	!	PUNCT
ejpam-728	226	1			PROPN
ejpam-728	226	2			NOUN
ejpam-728	226	3			NUM
ejpam-728	226	4			NOUN
ejpam-728	226	5			NOUN
ejpam-728	226	6			NOUN
ejpam-728	226	7	1	1	NUM
ejpam-728	226	8	�	�	PROPN
ejpam-728	226	9	2	2	NUM
ejpam-728	226	10	3	3	NUM
ejpam-728	226	11	�	�	PROPN
ejpam-728	226	12	5	5	NUM
ejpam-728	226	13			NOUN
ejpam-728	226	14			NOUN
ejpam-728	226	15			PUNCT
ejpam-728	226	16	�	�	PROPN
ejpam-728	226	17	(	(	PUNCT
ejpam-728	226	18	−1)k	−1)k	PROPN
ejpam-728	226	19	k	k	PROPN
ejpam-728	226	20	!	!	PUNCT
ejpam-728	226	21	�	�	PROPN
ejpam-728	226	22	k!y	k!y	PROPN
ejpam-728	226	23	(	(	PUNCT
ejpam-728	226	24	k	k	NOUN
ejpam-728	226	25	)	)	PUNCT
ejpam-728	226	26			PROPN
ejpam-728	226	27			PROPN
ejpam-728	226	28			PROPN
ejpam-728	226	29	k=1,3,5	k=1,3,5	NOUN
ejpam-728	226	30	,	,	PUNCT
ejpam-728	226	31	...	...	PUNCT
ejpam-728	226	32	(	(	PUNCT
ejpam-728	226	33	14	14	NUM
ejpam-728	226	34	)	)	PUNCT
ejpam-728	226	35	which	which	PRON
ejpam-728	226	36	is	be	AUX
ejpam-728	226	37	based	base	VERB
ejpam-728	226	38	on	on	ADP
ejpam-728	226	39	eq	eq	ADP
ejpam-728	226	40	.	.	PUNCT
ejpam-728	227	1	(	(	PUNCT
ejpam-728	227	2	1	1	NUM
ejpam-728	227	3	)	)	PUNCT
ejpam-728	227	4	,	,	PUNCT
ejpam-728	227	5	t	t	PROPN
ejpam-728	227	6	=	=	SYM
ejpam-728	227	7	y′′′(0	y′′′(0	NOUN
ejpam-728	227	8	)	)	PUNCT
ejpam-728	227	9	3	3	NUM
ejpam-728	227	10	!	!	PUNCT
ejpam-728	228	1	=	=	SYM
ejpam-728	228	2	y	y	PROPN
ejpam-728	228	3	(	(	PUNCT
ejpam-728	228	4	3	3	NUM
ejpam-728	228	5	)	)	PUNCT
ejpam-728	228	6	and	and	CCONJ
ejpam-728	228	7	w	w	NOUN
ejpam-728	228	8	=	=	SYM
ejpam-728	228	9	y(4)(0	y(4)(0	ADJ
ejpam-728	228	10	)	)	PUNCT
ejpam-728	228	11	4	4	NUM
ejpam-728	228	12	!	!	PUNCT
ejpam-728	228	13	=	=	SYM
ejpam-728	229	1	y	y	PROPN
ejpam-728	229	2	(	(	PUNCT
ejpam-728	229	3	4	4	NUM
ejpam-728	229	4	)	)	PUNCT
ejpam-728	229	5	.	.	PUNCT
ejpam-728	230	1	on	on	ADP
ejpam-728	230	2	using	use	VERB
ejpam-728	230	3	the	the	DET
ejpam-728	230	4	transformed	transform	VERB
ejpam-728	230	5	boundary	boundary	ADJ
ejpam-728	230	6	conditions	condition	NOUN
ejpam-728	230	7	in	in	ADP
ejpam-728	230	8	eq	eq	ADP
ejpam-728	230	9	.	.	PUNCT
ejpam-728	231	1	(	(	PUNCT
ejpam-728	231	2	13	13	NUM
ejpam-728	231	3	)	)	PUNCT
ejpam-728	231	4	and	and	CCONJ
ejpam-728	231	5	transformed	transform	VERB
ejpam-728	231	6	equation	equation	NOUN
ejpam-728	231	7	in	in	ADP
ejpam-728	231	8	eq	eq	ADP
ejpam-728	231	9	.	.	PUNCT
ejpam-728	232	1	(	(	PUNCT
ejpam-728	232	2	14	14	NUM
ejpam-728	232	3	)	)	PUNCT
ejpam-728	232	4	,	,	PUNCT
ejpam-728	232	5	we	we	PRON
ejpam-728	232	6	can	can	AUX
ejpam-728	232	7	get	get	VERB
ejpam-728	232	8	the	the	DET
ejpam-728	232	9	solution	solution	NOUN
ejpam-728	232	10	for	for	ADP
ejpam-728	232	11	y	y	PROPN
ejpam-728	232	12	(	(	PUNCT
ejpam-728	232	13	k	k	PROPN
ejpam-728	232	14	)	)	PUNCT
ejpam-728	232	15	,	,	PUNCT
ejpam-728	232	16	k	k	X
ejpam-728	232	17	≥	≥	NUM
ejpam-728	232	18	5	5	NUM
ejpam-728	232	19	easily	easily	ADV
ejpam-728	232	20	.	.	PUNCT
ejpam-728	233	1	the	the	DET
ejpam-728	233	2	values	value	NOUN
ejpam-728	233	3	of	of	ADP
ejpam-728	233	4	t	t	PROPN
ejpam-728	233	5	and	and	CCONJ
ejpam-728	233	6	w	w	PROPN
ejpam-728	233	7	can	can	AUX
ejpam-728	233	8	be	be	AUX
ejpam-728	233	9	evaluated	evaluate	VERB
ejpam-728	233	10	by	by	ADP
ejpam-728	233	11	using	use	VERB
ejpam-728	233	12	boundary	boundary	ADJ
ejpam-728	233	13	conditions	condition	NOUN
ejpam-728	233	14	in	in	ADP
ejpam-728	233	15	eq	eq	ADP
ejpam-728	233	16	.	.	PUNCT
ejpam-728	234	1	(	(	PUNCT
ejpam-728	234	2	12	12	NUM
ejpam-728	234	3	)	)	PUNCT
ejpam-728	234	4	at	at	ADP
ejpam-728	234	5	x	x	X
ejpam-728	234	6	=	=	SYM
ejpam-728	234	7	1	1	NUM
ejpam-728	234	8	for	for	ADP
ejpam-728	234	9	n	n	NOUN
ejpam-728	234	10	=	=	SYM
ejpam-728	234	11	20	20	NUM
ejpam-728	234	12	by	by	ADP
ejpam-728	234	13	solving	solve	VERB
ejpam-728	234	14	two	two	NUM
ejpam-728	234	15	equations	equation	NOUN
ejpam-728	234	16	such	such	ADJ
ejpam-728	234	17	as	as	ADP
ejpam-728	234	18	:	:	PUNCT
ejpam-728	234	19	20	20	NUM
ejpam-728	234	20	∑	∑	PROPN
ejpam-728	234	21	k=0	k=0	PROPN
ejpam-728	234	22	y	y	PROPN
ejpam-728	234	23	(	(	PUNCT
ejpam-728	234	24	k	k	NOUN
ejpam-728	234	25	)	)	PUNCT
ejpam-728	234	26	=	=	PUNCT
ejpam-728	235	1	e−	e−	X
ejpam-728	235	2	3	3	NUM
ejpam-728	235	3	2	2	NUM
ejpam-728	235	4	and	and	CCONJ
ejpam-728	235	5	20	20	NUM
ejpam-728	235	6	∑	∑	PROPN
ejpam-728	235	7	k=0	k=0	PROPN
ejpam-728	235	8	ky	ky	PROPN
ejpam-728	235	9	(	(	PUNCT
ejpam-728	235	10	k	k	NOUN
ejpam-728	235	11	)	)	PUNCT
ejpam-728	235	12	=	=	SYM
ejpam-728	235	13	(	(	PUNCT
ejpam-728	235	14	−3/2)e−	−3/2)e−	NOUN
ejpam-728	235	15	3	3	NUM
ejpam-728	235	16	2	2	NUM
ejpam-728	235	17	.	.	PUNCT
ejpam-728	236	1	these	these	DET
ejpam-728	236	2	two	two	NUM
ejpam-728	236	3	equations	equation	NOUN
ejpam-728	236	4	give	give	VERB
ejpam-728	236	5	values	value	NOUN
ejpam-728	236	6	for	for	ADP
ejpam-728	236	7	t	t	NOUN
ejpam-728	236	8	=	=	SYM
ejpam-728	236	9	−0.5625000003	−0.5625000003	PROPN
ejpam-728	236	10	and	and	CCONJ
ejpam-728	236	11	w	w	NOUN
ejpam-728	236	12	=	=	NOUN
ejpam-728	236	13	0.2109375003	0.2109375003	NUM
ejpam-728	236	14	.	.	PUNCT
ejpam-728	237	1	as	as	ADP
ejpam-728	237	2	a	a	DET
ejpam-728	237	3	result	result	NOUN
ejpam-728	237	4	the	the	DET
ejpam-728	237	5	following	follow	VERB
ejpam-728	237	6	series	series	NOUN
ejpam-728	237	7	solution	solution	NOUN
ejpam-728	237	8	can	can	AUX
ejpam-728	237	9	be	be	AUX
ejpam-728	237	10	formed	form	VERB
ejpam-728	237	11	by	by	ADP
ejpam-728	237	12	applying	apply	VERB
ejpam-728	237	13	the	the	DET
ejpam-728	237	14	inverse	inverse	NOUN
ejpam-728	237	15	transformation	transformation	NOUN
ejpam-728	237	16	equation	equation	NOUN
ejpam-728	237	17	in	in	ADP
ejpam-728	237	18	eq	eq	ADP
ejpam-728	237	19	.	.	PUNCT
ejpam-728	238	1	(	(	PUNCT
ejpam-728	238	2	2	2	NUM
ejpam-728	238	3	)	)	PUNCT
ejpam-728	238	4	up	up	ADP
ejpam-728	238	5	to	to	ADP
ejpam-728	238	6	n	n	NOUN
ejpam-728	238	7	=	=	SYM
ejpam-728	238	8	20	20	NUM
ejpam-728	238	9	.	.	PUNCT
ejpam-728	239	1	y(x	y(x	NOUN
ejpam-728	239	2	)	)	PUNCT
ejpam-728	240	1	=	=	NOUN
ejpam-728	240	2	1.0−	1.0−	NUM
ejpam-728	240	3	1.500000000x+	1.500000000x+	NUM
ejpam-728	240	4	1.125000000x2−	1.125000000x2−	NUM
ejpam-728	240	5	0.5625000003x3	0.5625000003x3	NUM
ejpam-728	240	6	c.	c.	PROPN
ejpam-728	240	7	hussin	hussin	PROPN
ejpam-728	240	8	,	,	PUNCT
ejpam-728	240	9	a.	a.	PROPN
ejpam-728	240	10	kılıçman	kılıçman	PROPN
ejpam-728	240	11	/	/	SYM
ejpam-728	240	12	eur	eur	PROPN
ejpam-728	240	13	.	.	PUNCT
ejpam-728	241	1	j.	j.	PROPN
ejpam-728	241	2	pure	pure	PROPN
ejpam-728	241	3	appl	appl	PROPN
ejpam-728	241	4	.	.	PROPN
ejpam-728	241	5	math	math	PROPN
ejpam-728	241	6	,	,	PUNCT
ejpam-728	241	7	4	4	NUM
ejpam-728	241	8	(	(	PUNCT
ejpam-728	241	9	2011	2011	NUM
ejpam-728	241	10	)	)	PUNCT
ejpam-728	241	11	,	,	PUNCT
ejpam-728	241	12	174	174	NUM
ejpam-728	241	13	-	-	SYM
ejpam-728	241	14	185	185	NUM
ejpam-728	241	15	181	181	NUM
ejpam-728	241	16	+	+	NUM
ejpam-728	241	17	0.2109375003x4−	0.2109375003x4−	NOUN
ejpam-728	241	18	0.06328125000x5	0.06328125000x5	NUM
ejpam-728	241	19	+	+	CCONJ
ejpam-728	241	20	0.01582031250x6	0.01582031250x6	NUM
ejpam-728	241	21	−	−	NOUN
ejpam-728	241	22	0.003390066964x7	0.003390066964x7	NUM
ejpam-728	241	23	+	+	NUM
ejpam-728	241	24	0.0006356375561x8−	0.0006356375561x8−	NOUN
ejpam-728	241	25	0.0001059395928x9	0.0001059395928x9	NUM
ejpam-728	241	26	+	+	PUNCT
ejpam-728	241	27	0.00001589093890x10−	0.00001589093890x10−	NUM
ejpam-728	241	28	0.000002166946213x11	0.000002166946213x11	NOUN
ejpam-728	241	29	+	+	CCONJ
ejpam-728	241	30	0.0000002708682766x12−	0.0000002708682766x12−	NUM
ejpam-728	241	31	0.00000003125403193x13	0.00000003125403193x13	NOUN
ejpam-728	242	1	+	+	CCONJ
ejpam-728	242	2	0.000000003348646282x14−	0.000000003348646282x14−	NUM
ejpam-728	242	3	0.0000000003348646277x15	0.0000000003348646277x15	NUM
ejpam-728	242	4	+	+	CCONJ
ejpam-728	242	5	3.139355885×	3.139355885×	NUM
ejpam-728	242	6	10−11	10−11	NUM
ejpam-728	242	7	x16	x16	NOUN
ejpam-728	242	8	−	−	PROPN
ejpam-728	242	9	2.770019898×	2.770019898×	NUM
ejpam-728	242	10	10−12	10−12	NOUN
ejpam-728	242	11	x17	x17	NOUN
ejpam-728	243	1	+	+	CCONJ
ejpam-728	243	2	2.308349916×	2.308349916×	NUM
ejpam-728	243	3	10−13	10−13	NUM
ejpam-728	243	4	x18	x18	NOUN
ejpam-728	243	5	−	−	PROPN
ejpam-728	243	6	1.822381515×	1.822381515×	NUM
ejpam-728	243	7	10−14	10−14	NUM
ejpam-728	243	8	x19	x19	NOUN
ejpam-728	243	9	+	+	CCONJ
ejpam-728	243	10	1.366786134×	1.366786134×	NUM
ejpam-728	243	11	10−15	10−15	NUM
ejpam-728	243	12	x20	x20	NOUN
ejpam-728	243	13	.	.	PUNCT
ejpam-728	244	1	example	example	NOUN
ejpam-728	244	2	3	3	NUM
ejpam-728	244	3	finally	finally	ADV
ejpam-728	244	4	we	we	PRON
ejpam-728	244	5	perform	perform	VERB
ejpam-728	244	6	fractional	fractional	ADJ
ejpam-728	244	7	-	-	PUNCT
ejpam-728	244	8	order	order	NOUN
ejpam-728	244	9	in	in	ADP
ejpam-728	244	10	form	form	NOUN
ejpam-728	244	11	1	1	NUM
ejpam-728	244	12	4	4	NUM
ejpam-728	244	13	for	for	ADP
ejpam-728	244	14	sixth	sixth	ADJ
ejpam-728	244	15	-	-	PUNCT
ejpam-728	244	16	order	order	NOUN
ejpam-728	244	17	boundary	boundary	ADJ
ejpam-728	244	18	value	value	NOUN
ejpam-728	244	19	problems	problem	NOUN
ejpam-728	244	20	such	such	ADJ
ejpam-728	244	21	as	as	ADP
ejpam-728	244	22	:	:	PUNCT
ejpam-728	244	23	y(6)(x	y(6)(x	X
ejpam-728	244	24	)	)	PUNCT
ejpam-728	245	1	=	=	PUNCT
ejpam-728	245	2	ex	ex	X
ejpam-728	245	3	4	4	NUM
ejpam-728	245	4	p	p	NOUN
ejpam-728	245	5	(	(	PUNCT
ejpam-728	245	6	y(x	y(x	PROPN
ejpam-728	245	7	)	)	PUNCT
ejpam-728	245	8	)	)	PUNCT
ejpam-728	245	9	0	0	PUNCT
ejpam-728	245	10	<	<	X
ejpam-728	245	11	x	x	X
ejpam-728	245	12	<	<	X
ejpam-728	245	13	1	1	NUM
ejpam-728	245	14	(	(	PUNCT
ejpam-728	245	15	15	15	NUM
ejpam-728	245	16	)	)	PUNCT
ejpam-728	245	17	subject	subject	NOUN
ejpam-728	245	18	to	to	ADP
ejpam-728	245	19	the	the	DET
ejpam-728	245	20	boundary	boundary	ADJ
ejpam-728	245	21	conditions	condition	NOUN
ejpam-728	245	22	y(0	y(0	PROPN
ejpam-728	245	23	)	)	PUNCT
ejpam-728	245	24	=	=	SYM
ejpam-728	245	25	1	1	NUM
ejpam-728	245	26	,	,	PUNCT
ejpam-728	245	27	y	y	PROPN
ejpam-728	245	28	′(0	′(0	PROPN
ejpam-728	245	29	)	)	PUNCT
ejpam-728	246	1	=	=	SYM
ejpam-728	246	2	−4	−4	X
ejpam-728	246	3	3	3	NUM
ejpam-728	246	4	,	,	PUNCT
ejpam-728	246	5	y	y	PROPN
ejpam-728	246	6	′′(0	′′(0	PROPN
ejpam-728	246	7	)	)	PUNCT
ejpam-728	246	8	=	=	SYM
ejpam-728	246	9	16	16	NUM
ejpam-728	246	10	9	9	NUM
ejpam-728	246	11	,	,	PUNCT
ejpam-728	246	12	y(1	y(1	PROPN
ejpam-728	246	13	)	)	PUNCT
ejpam-728	246	14	=	=	PUNCT
ejpam-728	247	1	e−	e−	X
ejpam-728	247	2	4	4	NUM
ejpam-728	247	3	3	3	NUM
ejpam-728	247	4	,	,	PUNCT
ejpam-728	247	5	y	y	PROPN
ejpam-728	247	6	′(1	′(1	PROPN
ejpam-728	247	7	)	)	PUNCT
ejpam-728	247	8	=	=	SYM
ejpam-728	247	9	�	�	PROPN
ejpam-728	247	10	4	4	NUM
ejpam-728	247	11	3	3	NUM
ejpam-728	247	12	�	�	NOUN
ejpam-728	247	13	e−	e−	ADP
ejpam-728	247	14	4	4	NUM
ejpam-728	247	15	3	3	NUM
ejpam-728	247	16	y	y	PROPN
ejpam-728	247	17	′′(1	′′(1	PROPN
ejpam-728	247	18	)	)	PUNCT
ejpam-728	247	19	=	=	SYM
ejpam-728	247	20	�	�	PROPN
ejpam-728	247	21	16	16	NUM
ejpam-728	247	22	9	9	NUM
ejpam-728	247	23	�	�	NOUN
ejpam-728	247	24	e−	e−	ADP
ejpam-728	247	25	4	4	NUM
ejpam-728	247	26	3	3	NUM
ejpam-728	247	27	.	.	PUNCT
ejpam-728	248	1	(	(	PUNCT
ejpam-728	248	2	16	16	NUM
ejpam-728	248	3	)	)	PUNCT
ejpam-728	248	4	applying	apply	VERB
ejpam-728	248	5	eq	eq	ADP
ejpam-728	248	6	.	.	PUNCT
ejpam-728	249	1	(	(	PUNCT
ejpam-728	249	2	16	16	NUM
ejpam-728	249	3	)	)	PUNCT
ejpam-728	249	4	to	to	ADP
ejpam-728	249	5	eq	eq	NOUN
ejpam-728	249	6	.	.	PUNCT
ejpam-728	250	1	(	(	PUNCT
ejpam-728	250	2	1	1	X
ejpam-728	250	3	)	)	PUNCT
ejpam-728	250	4	at	at	ADP
ejpam-728	250	5	x	x	X
ejpam-728	250	6	=	=	SYM
ejpam-728	250	7	0	0	NUM
ejpam-728	250	8	,	,	PUNCT
ejpam-728	250	9	the	the	DET
ejpam-728	250	10	following	follow	VERB
ejpam-728	250	11	transformed	transform	VERB
ejpam-728	250	12	boundary	boundary	ADJ
ejpam-728	250	13	conditions	condition	NOUN
ejpam-728	250	14	can	can	AUX
ejpam-728	250	15	be	be	AUX
ejpam-728	250	16	found	find	VERB
ejpam-728	250	17	y	y	PROPN
ejpam-728	250	18	(	(	PUNCT
ejpam-728	250	19	0	0	NUM
ejpam-728	250	20	)	)	PUNCT
ejpam-728	251	1	=	=	SYM
ejpam-728	251	2	1	1	NUM
ejpam-728	251	3	,	,	PUNCT
ejpam-728	251	4	y	y	PROPN
ejpam-728	251	5	(	(	PUNCT
ejpam-728	251	6	1	1	NUM
ejpam-728	251	7	)	)	PUNCT
ejpam-728	251	8	=	=	PRON
ejpam-728	252	1	−4	−4	X
ejpam-728	252	2	3	3	NUM
ejpam-728	252	3	,	,	PUNCT
ejpam-728	253	1	y	y	PROPN
ejpam-728	253	2	(	(	PUNCT
ejpam-728	253	3	2	2	NUM
ejpam-728	253	4	)	)	PUNCT
ejpam-728	253	5	=	=	SYM
ejpam-728	253	6	8	8	NUM
ejpam-728	253	7	9	9	NUM
ejpam-728	253	8	.	.	PUNCT
ejpam-728	254	1	(	(	PUNCT
ejpam-728	254	2	17	17	NUM
ejpam-728	254	3	)	)	PUNCT
ejpam-728	254	4	then	then	ADV
ejpam-728	254	5	,	,	PUNCT
ejpam-728	254	6	by	by	ADP
ejpam-728	254	7	using	use	VERB
ejpam-728	254	8	differential	differential	ADJ
ejpam-728	254	9	transform	transform	NOUN
ejpam-728	254	10	properties	property	NOUN
ejpam-728	254	11	in	in	ADP
ejpam-728	254	12	theorem	theorem	NOUN
ejpam-728	254	13	(	(	PUNCT
ejpam-728	254	14	13	13	NUM
ejpam-728	254	15	)	)	PUNCT
ejpam-728	254	16	to	to	ADP
ejpam-728	254	17	eq	eq	NOUN
ejpam-728	254	18	.	.	PUNCT
ejpam-728	255	1	(	(	PUNCT
ejpam-728	255	2	15	15	NUM
ejpam-728	255	3	)	)	PUNCT
ejpam-728	255	4	then	then	ADV
ejpam-728	255	5	the	the	DET
ejpam-728	255	6	transformed	transform	VERB
ejpam-728	255	7	equation	equation	NOUN
ejpam-728	255	8	is	be	AUX
ejpam-728	255	9	given	give	VERB
ejpam-728	255	10	by	by	ADP
ejpam-728	255	11	y	y	PROPN
ejpam-728	255	12	(	(	PUNCT
ejpam-728	255	13	k+	k+	NOUN
ejpam-728	255	14	6	6	NUM
ejpam-728	255	15	)	)	PUNCT
ejpam-728	255	16	=	=	SYM
ejpam-728	256	1	k	k	X
ejpam-728	256	2	!	!	PUNCT
ejpam-728	257	1	(	(	PUNCT
ejpam-728	257	2	k+	k+	NOUN
ejpam-728	257	3	6	6	NUM
ejpam-728	257	4	)	)	PUNCT
ejpam-728	257	5	!	!	PUNCT
ejpam-728	258	1			PROPN
ejpam-728	258	2			ADJ
ejpam-728	258	3			ADJ
ejpam-728	258	4			NUM
ejpam-728	258	5			NOUN
ejpam-728	258	6			NOUN
ejpam-728	258	7			NOUN
ejpam-728	258	8			NOUN
ejpam-728	258	9	1	1	NUM
ejpam-728	258	10	�	�	NOUN
ejpam-728	258	11	−3	−3	PROPN
ejpam-728	258	12	4	4	NUM
ejpam-728	258	13	�	�	PROPN
ejpam-728	258	14	6	6	NUM
ejpam-728	258	15			NOUN
ejpam-728	258	16			NOUN
ejpam-728	258	17			NOUN
ejpam-728	258	18			PUNCT
ejpam-728	259	1	�	�	PROPN
ejpam-728	259	2	(	(	PUNCT
ejpam-728	259	3	−1)k	−1)k	PROPN
ejpam-728	259	4	k	k	PROPN
ejpam-728	259	5	!	!	PUNCT
ejpam-728	259	6	�	�	PROPN
ejpam-728	259	7	k!y	k!y	PROPN
ejpam-728	259	8	(	(	PUNCT
ejpam-728	259	9	k	k	NOUN
ejpam-728	259	10	)	)	PUNCT
ejpam-728	259	11			PROPN
ejpam-728	259	12			PROPN
ejpam-728	259	13			PROPN
ejpam-728	259	14			PROPN
ejpam-728	259	15	k=0,2,4	k=0,2,4	NOUN
ejpam-728	259	16	,	,	PUNCT
ejpam-728	259	17	...	...	PUNCT
ejpam-728	259	18	and	and	CCONJ
ejpam-728	259	19	(	(	PUNCT
ejpam-728	259	20	18	18	NUM
ejpam-728	259	21	)	)	PUNCT
ejpam-728	259	22	y	y	PROPN
ejpam-728	259	23	(	(	PUNCT
ejpam-728	259	24	k+	k+	NOUN
ejpam-728	259	25	6	6	NUM
ejpam-728	259	26	)	)	PUNCT
ejpam-728	259	27	=	=	SYM
ejpam-728	260	1	k	k	X
ejpam-728	260	2	!	!	PUNCT
ejpam-728	261	1	(	(	PUNCT
ejpam-728	261	2	k+	k+	NOUN
ejpam-728	261	3	6	6	NUM
ejpam-728	261	4	)	)	PUNCT
ejpam-728	261	5	!	!	PUNCT
ejpam-728	262	1			PROPN
ejpam-728	262	2			ADJ
ejpam-728	262	3			ADJ
ejpam-728	262	4			NUM
ejpam-728	262	5			NOUN
ejpam-728	262	6			NOUN
ejpam-728	262	7			NOUN
ejpam-728	262	8			NOUN
ejpam-728	262	9	1	1	NUM
ejpam-728	262	10	�	�	PROPN
ejpam-728	262	11	3	3	NUM
ejpam-728	262	12	4	4	NUM
ejpam-728	262	13	�	�	PROPN
ejpam-728	262	14	6	6	NUM
ejpam-728	262	15			NOUN
ejpam-728	262	16			NOUN
ejpam-728	262	17			NOUN
ejpam-728	262	18			PUNCT
ejpam-728	263	1	�	�	PROPN
ejpam-728	263	2	(	(	PUNCT
ejpam-728	263	3	−1)k	−1)k	PROPN
ejpam-728	263	4	k	k	PROPN
ejpam-728	263	5	!	!	PUNCT
ejpam-728	263	6	�	�	PROPN
ejpam-728	263	7	k!y	k!y	PROPN
ejpam-728	263	8	(	(	PUNCT
ejpam-728	263	9	k	k	NOUN
ejpam-728	263	10	)	)	PUNCT
ejpam-728	263	11			PROPN
ejpam-728	263	12			PROPN
ejpam-728	263	13			PROPN
ejpam-728	263	14			PROPN
ejpam-728	263	15	k=1,3,5	k=1,3,5	PROPN
ejpam-728	263	16	,	,	PUNCT
ejpam-728	263	17	...	...	PUNCT
ejpam-728	263	18	(	(	PUNCT
ejpam-728	263	19	19	19	NUM
ejpam-728	263	20	)	)	PUNCT
ejpam-728	263	21	which	which	PRON
ejpam-728	263	22	is	be	AUX
ejpam-728	263	23	based	base	VERB
ejpam-728	263	24	on	on	ADP
ejpam-728	263	25	eq.(1	eq.(1	ADJ
ejpam-728	263	26	)	)	PUNCT
ejpam-728	263	27	,	,	PUNCT
ejpam-728	263	28	t	t	PROPN
ejpam-728	263	29	=	=	SYM
ejpam-728	263	30	y′′′(0	y′′′(0	NOUN
ejpam-728	263	31	)	)	PUNCT
ejpam-728	263	32	3	3	NUM
ejpam-728	263	33	!	!	PUNCT
ejpam-728	263	34	=	=	SYM
ejpam-728	264	1	y	y	PROPN
ejpam-728	264	2	(	(	PUNCT
ejpam-728	264	3	3	3	NUM
ejpam-728	264	4	)	)	PUNCT
ejpam-728	264	5	,	,	PUNCT
ejpam-728	264	6	w	w	PROPN
ejpam-728	264	7	=	=	SYM
ejpam-728	264	8	y(4)(0	y(4)(0	ADJ
ejpam-728	264	9	)	)	PUNCT
ejpam-728	264	10	4	4	NUM
ejpam-728	264	11	!	!	PUNCT
ejpam-728	264	12	=	=	SYM
ejpam-728	265	1	y	y	PROPN
ejpam-728	265	2	(	(	PUNCT
ejpam-728	265	3	4	4	NUM
ejpam-728	265	4	)	)	PUNCT
ejpam-728	265	5	and	and	CCONJ
ejpam-728	265	6	z	z	NOUN
ejpam-728	265	7	=	=	SYM
ejpam-728	265	8	y(5)(0	y(5)(0	NUM
ejpam-728	265	9	)	)	PUNCT
ejpam-728	265	10	5	5	NUM
ejpam-728	265	11	!	!	PUNCT
ejpam-728	265	12	=	=	SYM
ejpam-728	266	1	y	y	PROPN
ejpam-728	266	2	(	(	PUNCT
ejpam-728	266	3	5	5	NUM
ejpam-728	266	4	)	)	PUNCT
ejpam-728	266	5	.	.	PUNCT
ejpam-728	267	1	using	use	VERB
ejpam-728	267	2	the	the	DET
ejpam-728	267	3	transformed	transform	VERB
ejpam-728	267	4	boundary	boundary	ADJ
ejpam-728	267	5	conditions	condition	NOUN
ejpam-728	267	6	in	in	ADP
ejpam-728	267	7	eq	eq	ADP
ejpam-728	267	8	.	.	PUNCT
ejpam-728	268	1	(	(	PUNCT
ejpam-728	268	2	17	17	NUM
ejpam-728	268	3	)	)	PUNCT
ejpam-728	268	4	and	and	CCONJ
ejpam-728	268	5	transformed	transform	VERB
ejpam-728	268	6	equation	equation	NOUN
ejpam-728	268	7	in	in	ADP
ejpam-728	268	8	eq	eq	ADP
ejpam-728	268	9	.	.	PUNCT
ejpam-728	269	1	(	(	PUNCT
ejpam-728	269	2	18	18	NUM
ejpam-728	269	3	)	)	PUNCT
ejpam-728	269	4	,	,	PUNCT
ejpam-728	269	5	we	we	PRON
ejpam-728	269	6	c.	c.	PROPN
ejpam-728	269	7	hussin	hussin	PROPN
ejpam-728	269	8	,	,	PUNCT
ejpam-728	269	9	a.	a.	PROPN
ejpam-728	269	10	kılıçman	kılıçman	PROPN
ejpam-728	269	11	/	/	SYM
ejpam-728	269	12	eur	eur	PROPN
ejpam-728	269	13	.	.	PUNCT
ejpam-728	270	1	j.	j.	PROPN
ejpam-728	270	2	pure	pure	PROPN
ejpam-728	270	3	appl	appl	PROPN
ejpam-728	270	4	.	.	PROPN
ejpam-728	270	5	math	math	PROPN
ejpam-728	270	6	,	,	PUNCT
ejpam-728	270	7	4	4	NUM
ejpam-728	270	8	(	(	PUNCT
ejpam-728	270	9	2011	2011	NUM
ejpam-728	270	10	)	)	PUNCT
ejpam-728	270	11	,	,	PUNCT
ejpam-728	270	12	174	174	NUM
ejpam-728	270	13	-	-	SYM
ejpam-728	270	14	185	185	NUM
ejpam-728	270	15	182	182	NUM
ejpam-728	270	16	can	can	AUX
ejpam-728	270	17	get	get	VERB
ejpam-728	270	18	the	the	DET
ejpam-728	270	19	solution	solution	NOUN
ejpam-728	270	20	for	for	ADP
ejpam-728	270	21	y	y	PROPN
ejpam-728	270	22	(	(	PUNCT
ejpam-728	270	23	k	k	PROPN
ejpam-728	270	24	)	)	PUNCT
ejpam-728	270	25	,	,	PUNCT
ejpam-728	270	26	k	k	PROPN
ejpam-728	270	27	≥	≥	NUM
ejpam-728	270	28	6	6	NUM
ejpam-728	270	29	easily	easily	ADV
ejpam-728	270	30	.	.	PUNCT
ejpam-728	271	1	the	the	DET
ejpam-728	271	2	values	value	NOUN
ejpam-728	271	3	of	of	ADP
ejpam-728	271	4	t	t	PROPN
ejpam-728	271	5	,	,	PUNCT
ejpam-728	271	6	w	w	PROPN
ejpam-728	271	7	and	and	CCONJ
ejpam-728	271	8	z	z	NOUN
ejpam-728	271	9	can	can	AUX
ejpam-728	271	10	be	be	AUX
ejpam-728	271	11	evaluated	evaluate	VERB
ejpam-728	271	12	by	by	ADP
ejpam-728	271	13	using	use	VERB
ejpam-728	271	14	boundary	boundary	ADJ
ejpam-728	271	15	conditions	condition	NOUN
ejpam-728	271	16	in	in	ADP
ejpam-728	271	17	eq	eq	ADP
ejpam-728	271	18	.	.	PUNCT
ejpam-728	272	1	(	(	PUNCT
ejpam-728	272	2	16	16	NUM
ejpam-728	272	3	)	)	PUNCT
ejpam-728	272	4	at	at	ADP
ejpam-728	272	5	x	x	X
ejpam-728	272	6	=	=	SYM
ejpam-728	272	7	1	1	NUM
ejpam-728	272	8	for	for	ADP
ejpam-728	272	9	n	n	NOUN
ejpam-728	272	10	=	=	SYM
ejpam-728	272	11	20	20	NUM
ejpam-728	272	12	by	by	ADP
ejpam-728	272	13	solving	solve	VERB
ejpam-728	272	14	three	three	NUM
ejpam-728	272	15	equations	equation	NOUN
ejpam-728	272	16	such	such	ADJ
ejpam-728	272	17	as	as	ADP
ejpam-728	272	18	:	:	PUNCT
ejpam-728	272	19	20	20	NUM
ejpam-728	272	20	∑	∑	PROPN
ejpam-728	272	21	k=0	k=0	PROPN
ejpam-728	272	22	y	y	PROPN
ejpam-728	272	23	(	(	PUNCT
ejpam-728	272	24	k	k	NOUN
ejpam-728	272	25	)	)	PUNCT
ejpam-728	272	26	=	=	PUNCT
ejpam-728	272	27	e−	e−	X
ejpam-728	272	28	4	4	NUM
ejpam-728	272	29	3	3	NUM
ejpam-728	272	30	,	,	PUNCT
ejpam-728	272	31	20	20	NUM
ejpam-728	272	32	∑	∑	ADP
ejpam-728	272	33	k=0	k=0	PROPN
ejpam-728	272	34	ky	ky	PROPN
ejpam-728	272	35	(	(	PUNCT
ejpam-728	272	36	k	k	NOUN
ejpam-728	272	37	)	)	PUNCT
ejpam-728	272	38	=	=	SYM
ejpam-728	272	39	�	�	PROPN
ejpam-728	272	40	4	4	NUM
ejpam-728	272	41	3	3	NUM
ejpam-728	272	42	�	�	NOUN
ejpam-728	272	43	e−	e−	ADP
ejpam-728	272	44	4	4	NUM
ejpam-728	272	45	3	3	NUM
ejpam-728	272	46	and	and	CCONJ
ejpam-728	272	47	20	20	NUM
ejpam-728	272	48	∑	∑	ADP
ejpam-728	272	49	k=0	k=0	PROPN
ejpam-728	272	50	k(k−	k(k−	PROPN
ejpam-728	272	51	1)y	1)y	NUM
ejpam-728	272	52	(	(	PUNCT
ejpam-728	272	53	k	k	NOUN
ejpam-728	272	54	)	)	PUNCT
ejpam-728	272	55	=	=	SYM
ejpam-728	272	56	�	�	PROPN
ejpam-728	272	57	16	16	NUM
ejpam-728	272	58	9	9	NUM
ejpam-728	272	59	�	�	NOUN
ejpam-728	272	60	e−	e−	ADP
ejpam-728	272	61	4	4	NUM
ejpam-728	272	62	3	3	NUM
ejpam-728	272	63	.	.	PUNCT
ejpam-728	273	1	(	(	PUNCT
ejpam-728	273	2	20	20	X
ejpam-728	273	3	)	)	PUNCT
ejpam-728	273	4	these	these	DET
ejpam-728	273	5	three	three	NUM
ejpam-728	273	6	equations	equation	NOUN
ejpam-728	273	7	give	give	VERB
ejpam-728	273	8	values	value	NOUN
ejpam-728	273	9	for	for	ADP
ejpam-728	273	10	t	t	NOUN
ejpam-728	273	11	=	=	SYM
ejpam-728	273	12	−0.4047692491	−0.4047692491	NOUN
ejpam-728	273	13	,	,	PUNCT
ejpam-728	273	14	0.1573589866	0.1573589866	NUM
ejpam-728	273	15	and	and	CCONJ
ejpam-728	273	16	z	z	NOUN
ejpam-728	274	1	=	=	SYM
ejpam-728	274	2	−0.5413042140e−	−0.5413042140e−	PROPN
ejpam-728	274	3	1	1	X
ejpam-728	274	4	.	.	PUNCT
ejpam-728	275	1	consequently	consequently	ADV
ejpam-728	275	2	the	the	DET
ejpam-728	275	3	following	follow	VERB
ejpam-728	275	4	series	series	NOUN
ejpam-728	275	5	solution	solution	NOUN
ejpam-728	275	6	can	can	AUX
ejpam-728	275	7	be	be	AUX
ejpam-728	275	8	formed	form	VERB
ejpam-728	275	9	by	by	ADP
ejpam-728	275	10	applying	apply	VERB
ejpam-728	275	11	the	the	DET
ejpam-728	275	12	inverse	inverse	NOUN
ejpam-728	275	13	transformation	transformation	NOUN
ejpam-728	275	14	equation	equation	NOUN
ejpam-728	275	15	in	in	ADP
ejpam-728	275	16	eq	eq	ADP
ejpam-728	275	17	.	.	PUNCT
ejpam-728	276	1	(	(	PUNCT
ejpam-728	276	2	2	2	NUM
ejpam-728	276	3	)	)	PUNCT
ejpam-728	276	4	up	up	ADP
ejpam-728	276	5	to	to	ADP
ejpam-728	276	6	n	n	NOUN
ejpam-728	276	7	=	=	SYM
ejpam-728	276	8	20	20	NUM
ejpam-728	276	9	.	.	PUNCT
ejpam-728	277	1	y(x	y(x	NOUN
ejpam-728	277	2	)	)	PUNCT
ejpam-728	278	1	=	=	SYM
ejpam-728	278	2	1.0−	1.0−	NUM
ejpam-728	278	3	1.333333333	1.333333333	NUM
ejpam-728	278	4	x+	x+	NUM
ejpam-728	278	5	0.8888888889	0.8888888889	PROPN
ejpam-728	278	6	x2−	x2−	PROPN
ejpam-728	278	7	0.4047692491	0.4047692491	NUM
ejpam-728	278	8	x3	x3	ADJ
ejpam-728	278	9	+	+	CCONJ
ejpam-728	278	10	0.1573589866	0.1573589866	NUM
ejpam-728	278	11	x4−	x4−	PROPN
ejpam-728	278	12	0.05413042140	0.05413042140	NUM
ejpam-728	278	13	x5	x5	NOUN
ejpam-728	278	14	+	+	NUM
ejpam-728	278	15	0.007803688462	0.007803688462	NUM
ejpam-728	278	16	x6	x6	NOUN
ejpam-728	278	17	+	+	SYM
ejpam-728	278	18	0.001486416850	0.001486416850	NUM
ejpam-728	278	19	x7	x7	NOUN
ejpam-728	278	20	+	+	CCONJ
ejpam-728	278	21	0.0002477361417	0.0002477361417	NUM
ejpam-728	278	22	x8	x8	NOUN
ejpam-728	278	23	+	+	CCONJ
ejpam-728	278	24	0.00003760348951	0.00003760348951	NUM
ejpam-728	278	25	x9	x9	NOUN
ejpam-728	278	26	+	+	X
ejpam-728	278	27	0.000005847526229	0.000005847526229	NUM
ejpam-728	278	28	x10	x10	NOUN
ejpam-728	278	29	+	+	NOUN
ejpam-728	278	30	0.0000009143223916	0.0000009143223916	NUM
ejpam-728	278	31	x11	x11	NUM
ejpam-728	278	32	+	+	X
ejpam-728	278	33	0.00000006590644330	0.00000006590644330	NUM
ejpam-728	278	34	x12−	x12−	SYM
ejpam-728	278	35	0.000000006759635211	0.000000006759635211	NUM
ejpam-728	278	36	x13	x13	NOUN
ejpam-728	278	37	+	+	X
ejpam-728	278	38	0.0000000006437747820	0.0000000006437747820	NUM
ejpam-728	278	39	x14−	x14−	NUM
ejpam-728	278	40	5.863055289×	5.863055289×	NUM
ejpam-728	278	41	10−11	10−11	NUM
ejpam-728	278	42	x15	x15	NUM
ejpam-728	278	43	+	+	SYM
ejpam-728	278	44	5.698335785×	5.698335785×	NUM
ejpam-728	278	45	10−12	10−12	NOUN
ejpam-728	278	46	x16	x16	NOUN
ejpam-728	278	47	−	−	PROPN
ejpam-728	278	48	5.765261068×	5.765261068×	NUM
ejpam-728	278	49	10−13	10−13	NOUN
ejpam-728	278	50	x17	x17	NUM
ejpam-728	278	51	+	+	CCONJ
ejpam-728	278	52	2.770487778×	2.770487778×	NUM
ejpam-728	278	53	10−14	10−14	NUM
ejpam-728	278	54	x18	x18	NOUN
ejpam-728	278	55	+	+	CCONJ
ejpam-728	278	56	1.944201950×	1.944201950×	NUM
ejpam-728	278	57	10−15	10−15	NUM
ejpam-728	278	58	x19	x19	NOUN
ejpam-728	278	59	+	+	CCONJ
ejpam-728	278	60	1.296134633×	1.296134633×	NUM
ejpam-728	278	61	10−16	10−16	NUM
ejpam-728	278	62	x20	x20	NOUN
ejpam-728	278	63	.	.	PUNCT
ejpam-728	279	1	5	5	NUM
ejpam-728	279	2	.	.	X
ejpam-728	279	3	result	result	VERB
ejpam-728	279	4	there	there	PRON
ejpam-728	279	5	are	be	VERB
ejpam-728	279	6	numerical	numerical	ADJ
ejpam-728	279	7	results	result	NOUN
ejpam-728	279	8	for	for	ADP
ejpam-728	279	9	differential	differential	ADJ
ejpam-728	279	10	transformation	transformation	NOUN
ejpam-728	279	11	method	method	NOUN
ejpam-728	279	12	and	and	CCONJ
ejpam-728	279	13	comparison	comparison	NOUN
ejpam-728	279	14	to	to	ADP
ejpam-728	279	15	exact	exact	ADJ
ejpam-728	279	16	solution	solution	NOUN
ejpam-728	279	17	of	of	ADP
ejpam-728	279	18	fifth	fifth	ADJ
ejpam-728	279	19	-	-	PUNCT
ejpam-728	279	20	order	order	NOUN
ejpam-728	279	21	bvps	bvps	NOUN
ejpam-728	279	22	for	for	ADP
ejpam-728	279	23	fractional	fractional	ADJ
ejpam-728	279	24	order	order	NOUN
ejpam-728	279	25	1	1	NUM
ejpam-728	279	26	2	2	NUM
ejpam-728	279	27	and	and	CCONJ
ejpam-728	279	28	1	1	NUM
ejpam-728	279	29	3	3	NUM
ejpam-728	279	30	.	.	PUNCT
ejpam-728	280	1	we	we	PRON
ejpam-728	280	2	also	also	ADV
ejpam-728	280	3	provided	provide	VERB
ejpam-728	280	4	sixth	sixth	ADJ
ejpam-728	280	5	-	-	PUNCT
ejpam-728	280	6	order	order	NOUN
ejpam-728	280	7	boundary	boundary	ADJ
ejpam-728	280	8	value	value	NOUN
ejpam-728	280	9	problems	problem	NOUN
ejpam-728	280	10	for	for	ADP
ejpam-728	280	11	fractional	fractional	ADJ
ejpam-728	280	12	-	-	PUNCT
ejpam-728	280	13	order	order	NOUN
ejpam-728	280	14	of	of	ADP
ejpam-728	280	15	degree	degree	NOUN
ejpam-728	280	16	1	1	NUM
ejpam-728	280	17	4	4	NUM
ejpam-728	280	18	.	.	PUNCT
ejpam-728	281	1	they	they	PRON
ejpam-728	281	2	are	be	AUX
ejpam-728	281	3	in	in	ADP
ejpam-728	281	4	table	table	NOUN
ejpam-728	281	5	1	1	NUM
ejpam-728	281	6	,	,	PUNCT
ejpam-728	281	7	table	table	NOUN
ejpam-728	281	8	2	2	NUM
ejpam-728	281	9	and	and	CCONJ
ejpam-728	281	10	table	table	NOUN
ejpam-728	281	11	3	3	NUM
ejpam-728	281	12	respectively	respectively	ADV
ejpam-728	281	13	.	.	PUNCT
ejpam-728	282	1	table	table	NOUN
ejpam-728	282	2	1	1	NUM
ejpam-728	282	3	:	:	PUNCT
ejpam-728	282	4	comparison	comparison	NOUN
ejpam-728	282	5	numeri	numeri	PROPN
ejpam-728	282	6	al	al	PROPN
ejpam-728	282	7	result	result	VERB
ejpam-728	282	8	for	for	ADP
ejpam-728	282	9	example	example	NOUN
ejpam-728	282	10	1	1	NUM
ejpam-728	282	11	.	.	X
ejpam-728	283	1	x	x	PUNCT
ejpam-728	283	2	exact	exact	ADJ
ejpam-728	283	3	solution	solution	NOUN
ejpam-728	283	4	dtm	dtm	PROPN
ejpam-728	283	5	(	(	PUNCT
ejpam-728	283	6	n=21	n=21	NOUN
ejpam-728	283	7	)	)	PUNCT
ejpam-728	283	8	error	error	NOUN
ejpam-728	283	9	0.0	0.0	NUM
ejpam-728	283	10	1	1	NUM
ejpam-728	283	11	1	1	NUM
ejpam-728	283	12	0	0	NUM
ejpam-728	283	13	0.1	0.1	NUM
ejpam-728	283	14	0.8187307532	0.8187307532	NUM
ejpam-728	283	15	0.8187307532	0.8187307532	NUM
ejpam-728	283	16	0	0	NUM
ejpam-728	283	17	0.2	0.2	NUM
ejpam-728	283	18	0.6703200461	0.6703200461	NUM
ejpam-728	283	19	0.6703200461	0.6703200461	NUM
ejpam-728	283	20	0	0	NUM
ejpam-728	283	21	0.3	0.3	NUM
ejpam-728	283	22	0.5488116361	0.5488116361	NUM
ejpam-728	283	23	0.5488116361	0.5488116361	NUM
ejpam-728	283	24	0	0	NUM
ejpam-728	283	25	0.4	0.4	NUM
ejpam-728	283	26	0.4493289640	0.4493289640	NUM
ejpam-728	284	1	0.4493289640	0.4493289640	NUM
ejpam-728	284	2	0	0	NUM
ejpam-728	284	3	0.5	0.5	NUM
ejpam-728	284	4	0.3678794413	0.3678794413	NUM
ejpam-728	284	5	0.3678794413	0.3678794413	NUM
ejpam-728	284	6	0	0	NUM
ejpam-728	284	7	0.6	0.6	NUM
ejpam-728	284	8	0.3011942120	0.3011942120	NUM
ejpam-728	284	9	0.3011942120	0.3011942120	NUM
ejpam-728	284	10	0	0	NUM
ejpam-728	284	11	0.7	0.7	NUM
ejpam-728	284	12	0.2465969642	0.2465969642	NUM
ejpam-728	284	13	0.2465969642	0.2465969642	NUM
ejpam-728	284	14	0	0	NUM
ejpam-728	284	15	0.8	0.8	NUM
ejpam-728	284	16	0.2018965183	0.2018965183	NUM
ejpam-728	285	1	0.2018965183	0.2018965183	NUM
ejpam-728	285	2	0	0	NUM
ejpam-728	285	3	0.9	0.9	NUM
ejpam-728	285	4	0.1652988883	0.1652988883	NUM
ejpam-728	285	5	0.1652988884	0.1652988884	NUM
ejpam-728	285	6	0.1×	0.1×	NOUN
ejpam-728	285	7	10−9	10−9	NUM
ejpam-728	285	8	1.0	1.0	NUM
ejpam-728	285	9	0.1353352833	0.1353352833	NUM
ejpam-728	285	10	0.1353352834	0.1353352834	NUM
ejpam-728	285	11	0.1×	0.1×	NUM
ejpam-728	285	12	10−9	10−9	NUM
ejpam-728	285	13	c.	c.	PROPN
ejpam-728	285	14	hussin	hussin	PROPN
ejpam-728	285	15	,	,	PUNCT
ejpam-728	285	16	a.	a.	PROPN
ejpam-728	285	17	kılıçman	kılıçman	PROPN
ejpam-728	285	18	/	/	SYM
ejpam-728	285	19	eur	eur	PROPN
ejpam-728	285	20	.	.	PUNCT
ejpam-728	286	1	j.	j.	PROPN
ejpam-728	286	2	pure	pure	PROPN
ejpam-728	286	3	appl	appl	PROPN
ejpam-728	286	4	.	.	PROPN
ejpam-728	286	5	math	math	PROPN
ejpam-728	286	6	,	,	PUNCT
ejpam-728	286	7	4	4	NUM
ejpam-728	286	8	(	(	PUNCT
ejpam-728	286	9	2011	2011	NUM
ejpam-728	286	10	)	)	PUNCT
ejpam-728	286	11	,	,	PUNCT
ejpam-728	286	12	174	174	NUM
ejpam-728	286	13	-	-	SYM
ejpam-728	286	14	185	185	NUM
ejpam-728	286	15	183table	183table	PROPN
ejpam-728	286	16	2	2	NUM
ejpam-728	286	17	:	:	PUNCT
ejpam-728	286	18	comparison	comparison	NOUN
ejpam-728	286	19	numeri	numeri	PROPN
ejpam-728	286	20	al	al	PROPN
ejpam-728	286	21	result	result	VERB
ejpam-728	286	22	for	for	ADP
ejpam-728	286	23	example	example	NOUN
ejpam-728	286	24	2	2	NUM
ejpam-728	286	25	.	.	X
ejpam-728	286	26	x	x	PUNCT
ejpam-728	286	27	exact	exact	ADJ
ejpam-728	286	28	solution	solution	NOUN
ejpam-728	286	29	dtm	dtm	PROPN
ejpam-728	286	30	(	(	PUNCT
ejpam-728	286	31	n=21	n=21	NOUN
ejpam-728	286	32	)	)	PUNCT
ejpam-728	286	33	error	error	NOUN
ejpam-728	286	34	0.0	0.0	NUM
ejpam-728	286	35	1	1	NUM
ejpam-728	286	36	1	1	NUM
ejpam-728	286	37	0	0	NUM
ejpam-728	286	38	0.1	0.1	NUM
ejpam-728	286	39	0.8607079765	0.8607079765	NUM
ejpam-728	286	40	0.8607079765	0.8607079765	NUM
ejpam-728	286	41	0	0	NUM
ejpam-728	287	1	0.2	0.2	NUM
ejpam-728	287	2	0.7408182206	0.7408182206	NUM
ejpam-728	287	3	0.7408182206	0.7408182206	NUM
ejpam-728	287	4	0	0	NUM
ejpam-728	287	5	0.3	0.3	NUM
ejpam-728	287	6	0.6376281517	0.6376281517	NUM
ejpam-728	288	1	0.6376281517	0.6376281517	NUM
ejpam-728	288	2	0	0	NUM
ejpam-728	288	3	0.4	0.4	NUM
ejpam-728	288	4	0.5488116361	0.5488116361	NUM
ejpam-728	288	5	0.5488116361	0.5488116361	NUM
ejpam-728	288	6	0	0	NUM
ejpam-728	288	7	0.5	0.5	NUM
ejpam-728	288	8	0.4723665528	0.4723665528	NUM
ejpam-728	288	9	0.4723665528	0.4723665528	NUM
ejpam-728	288	10	0	0	NUM
ejpam-728	288	11	0.6	0.6	NUM
ejpam-728	288	12	0.4065696598	0.4065696598	NUM
ejpam-728	288	13	0.4065696597	0.4065696597	NUM
ejpam-728	288	14	0.1×	0.1×	NOUN
ejpam-728	288	15	10−9	10−9	NUM
ejpam-728	288	16	0.7	0.7	NUM
ejpam-728	288	17	0.3499377491	0.3499377491	NUM
ejpam-728	288	18	0.3499377490	0.3499377490	NUM
ejpam-728	288	19	0.1×	0.1×	NUM
ejpam-728	288	20	10−9	10−9	NUM
ejpam-728	288	21	0.8	0.8	NUM
ejpam-728	288	22	0.3011942119	0.3011942119	NUM
ejpam-728	288	23	0.3011942118	0.3011942118	NUM
ejpam-728	288	24	0.1×	0.1×	NUM
ejpam-728	288	25	10−9	10−9	NUM
ejpam-728	288	26	0.9	0.9	NUM
ejpam-728	288	27	0.2592402607	0.2592402607	NUM
ejpam-728	288	28	0.2592402606	0.2592402606	NUM
ejpam-728	288	29	0.1×	0.1×	NUM
ejpam-728	288	30	10−9	10−9	NUM
ejpam-728	288	31	1.0	1.0	NUM
ejpam-728	288	32	0.2231301601	0.2231301601	NUM
ejpam-728	288	33	0.2231301601	0.2231301601	NUM
ejpam-728	288	34	0table	0table	NUM
ejpam-728	288	35	3	3	NUM
ejpam-728	288	36	:	:	PUNCT
ejpam-728	288	37	comparison	comparison	NOUN
ejpam-728	288	38	numeri	numeri	PROPN
ejpam-728	288	39	al	al	PROPN
ejpam-728	288	40	result	result	VERB
ejpam-728	288	41	for	for	ADP
ejpam-728	288	42	example	example	NOUN
ejpam-728	288	43	3	3	NUM
ejpam-728	288	44	.	.	X
ejpam-728	288	45	x	x	SYM
ejpam-728	288	46	exact	exact	ADJ
ejpam-728	288	47	solution	solution	NOUN
ejpam-728	288	48	dtm	dtm	PROPN
ejpam-728	288	49	(	(	PUNCT
ejpam-728	288	50	n=21	n=21	NOUN
ejpam-728	288	51	)	)	PUNCT
ejpam-728	288	52	error	error	NOUN
ejpam-728	288	53	0.0	0.0	NUM
ejpam-728	288	54	1	1	NUM
ejpam-728	288	55	1	1	NUM
ejpam-728	288	56	0	0	NUM
ejpam-728	288	57	0.1	0.1	NUM
ejpam-728	288	58	0.8751733191	0.8751733191	NUM
ejpam-728	288	59	0.8751659889	0.8751659889	NUM
ejpam-728	288	60	0.0000073302	0.0000073302	NUM
ejpam-728	288	61	0.2	0.2	NUM
ejpam-728	288	62	0.7659283385	0.7659283385	NUM
ejpam-728	288	63	0.7658857067	0.7658857067	NUM
ejpam-728	288	64	0.426318×	0.426318×	NOUN
ejpam-728	288	65	10−4	10−4	NUM
ejpam-728	288	66	0.3	0.3	NUM
ejpam-728	288	67	0.6703200462	0.6703200462	NUM
ejpam-728	288	68	0.6702203323	0.6702203323	NUM
ejpam-728	288	69	0.997139×	0.997139×	NUM
ejpam-728	288	70	10−4	10−4	NUM
ejpam-728	288	71	0.4	0.4	NUM
ejpam-728	288	72	0.5866462197	0.5866462197	NUM
ejpam-728	288	73	0.5864923238	0.5864923238	NUM
ejpam-728	288	74	0.0001538959	0.0001538959	NUM
ejpam-728	288	75	0.5	0.5	NUM
ejpam-728	288	76	0.5134171191	0.5134171191	NUM
ejpam-728	288	77	0.5132373530	0.5132373530	NUM
ejpam-728	288	78	0.1797661×	0.1797661×	NUM
ejpam-728	288	79	10−3	10−3	NUM
ejpam-728	288	80	0.6	0.6	NUM
ejpam-728	288	81	0.4493289642	0.4493289642	NUM
ejpam-728	288	82	0.4491646634	0.4491646634	NUM
ejpam-728	288	83	0.0001643008	0.0001643008	NUM
ejpam-728	288	84	0.7	0.7	NUM
ejpam-728	288	85	0.3932407212	0.3932407212	NUM
ejpam-728	288	86	0.3931270548	0.3931270548	NUM
ejpam-728	288	87	0.0001136664	0.0001136664	NUM
ejpam-728	288	88	0.8	0.8	NUM
ejpam-728	288	89	0.3441537873	0.3441537873	NUM
ejpam-728	288	90	0.3441018869	0.3441018869	NUM
ejpam-728	288	91	0.519004×	0.519004×	NUM
ejpam-728	288	92	10−4	10−4	NUM
ejpam-728	288	93	0.9	0.9	NUM
ejpam-728	288	94	0.3011942119	0.3011942119	NUM
ejpam-728	288	95	0.3011846781	0.3011846781	NUM
ejpam-728	288	96	0.0000095338	0.0000095338	NUM
ejpam-728	288	97	1.0	1.0	NUM
ejpam-728	288	98	0.2635971382	0.2635971382	NUM
ejpam-728	288	99	0.2635971384	0.2635971384	NUM
ejpam-728	288	100	0.2×	0.2×	NUM
ejpam-728	288	101	10−9	10−9	NUM
ejpam-728	288	102	from	from	ADP
ejpam-728	288	103	the	the	DET
ejpam-728	288	104	tables	table	NOUN
ejpam-728	288	105	,	,	PUNCT
ejpam-728	288	106	we	we	PRON
ejpam-728	288	107	can	can	AUX
ejpam-728	288	108	see	see	VERB
ejpam-728	288	109	that	that	DET
ejpam-728	288	110	differential	differential	ADJ
ejpam-728	288	111	transformation	transformation	NOUN
ejpam-728	288	112	method	method	NOUN
ejpam-728	288	113	has	have	VERB
ejpam-728	288	114	minor	minor	ADJ
ejpam-728	288	115	error	error	NOUN
ejpam-728	288	116	.	.	PUNCT
ejpam-728	289	1	by	by	ADP
ejpam-728	289	2	the	the	DET
ejpam-728	289	3	way	way	NOUN
ejpam-728	289	4	,	,	PUNCT
ejpam-728	289	5	for	for	ADP
ejpam-728	289	6	table	table	NOUN
ejpam-728	289	7	1	1	NUM
ejpam-728	289	8	it	it	PRON
ejpam-728	289	9	has	have	VERB
ejpam-728	289	10	no	no	DET
ejpam-728	289	11	error	error	NOUN
ejpam-728	289	12	from	from	ADP
ejpam-728	289	13	points	point	NOUN
ejpam-728	289	14	0.0	0.0	NUM
ejpam-728	289	15	to	to	PART
ejpam-728	289	16	0.8	0.8	NUM
ejpam-728	289	17	.	.	PUNCT
ejpam-728	290	1	for	for	ADP
ejpam-728	290	2	points	point	NOUN
ejpam-728	290	3	0.9	0.9	NUM
ejpam-728	290	4	and	and	CCONJ
ejpam-728	290	5	1.0	1.0	NUM
ejpam-728	290	6	,	,	PUNCT
ejpam-728	290	7	the	the	DET
ejpam-728	290	8	error	error	NOUN
ejpam-728	290	9	is	be	AUX
ejpam-728	290	10	0.1e−	0.1e−	NUM
ejpam-728	290	11	9	9	NUM
ejpam-728	290	12	.	.	PUNCT
ejpam-728	291	1	the	the	DET
ejpam-728	291	2	maximum	maximum	ADJ
ejpam-728	291	3	error	error	NOUN
ejpam-728	291	4	for	for	ADP
ejpam-728	291	5	example	example	NOUN
ejpam-728	291	6	1	1	NUM
ejpam-728	291	7	is	be	AUX
ejpam-728	291	8	∑1	∑1	NOUN
ejpam-728	291	9	i=0	i=0	PROPN
ejpam-728	291	10	x	x	PUNCT
ejpam-728	292	1	i	i	NOUN
ejpam-728	292	2	=	=	PROPN
ejpam-728	292	3	2.0×	2.0×	NUM
ejpam-728	292	4	10−10	10−10	NUM
ejpam-728	292	5	.	.	PUNCT
ejpam-728	293	1	that	that	PRON
ejpam-728	293	2	means	mean	VERB
ejpam-728	293	3	dtm	dtm	PROPN
ejpam-728	293	4	is	be	AUX
ejpam-728	293	5	very	very	ADV
ejpam-728	293	6	accurate	accurate	ADJ
ejpam-728	293	7	with	with	ADP
ejpam-728	293	8	exact	exact	ADJ
ejpam-728	293	9	solution	solution	NOUN
ejpam-728	293	10	for	for	ADP
ejpam-728	293	11	fractional	fractional	ADJ
ejpam-728	293	12	order	order	NOUN
ejpam-728	293	13	1	1	NUM
ejpam-728	293	14	2	2	NUM
ejpam-728	293	15	of	of	ADP
ejpam-728	293	16	fifth	fifth	ADJ
ejpam-728	293	17	-	-	PUNCT
ejpam-728	293	18	order	order	NOUN
ejpam-728	293	19	bvp	bvp	NOUN
ejpam-728	293	20	.	.	PUNCT
ejpam-728	294	1	by	by	ADP
ejpam-728	294	2	comparison	comparison	NOUN
ejpam-728	294	3	to	to	ADP
ejpam-728	294	4	fractional	fractional	ADJ
ejpam-728	294	5	order	order	NOUN
ejpam-728	294	6	1	1	NUM
ejpam-728	294	7	3	3	NUM
ejpam-728	294	8	,	,	PUNCT
ejpam-728	294	9	the	the	DET
ejpam-728	294	10	maximum	maximum	ADJ
ejpam-728	294	11	error	error	NOUN
ejpam-728	294	12	is	be	AUX
ejpam-728	294	13	∑1	∑1	NOUN
ejpam-728	294	14	i=0	i=0	PROPN
ejpam-728	294	15	x	x	PUNCT
ejpam-728	294	16	i	i	NOUN
ejpam-728	294	17	=	=	PUNCT
ejpam-728	294	18	4.0×	4.0×	NUM
ejpam-728	294	19	10−10	10−10	NUM
ejpam-728	294	20	.	.	PUNCT
ejpam-728	295	1	from	from	ADP
ejpam-728	295	2	point	point	NOUN
ejpam-728	295	3	x	x	PUNCT
ejpam-728	295	4	=	=	SYM
ejpam-728	295	5	0.0	0.0	NUM
ejpam-728	295	6	to	to	PART
ejpam-728	295	7	x	x	SYM
ejpam-728	295	8	=	=	SYM
ejpam-728	295	9	0.5	0.5	NUM
ejpam-728	295	10	it	it	PRON
ejpam-728	295	11	has	have	VERB
ejpam-728	295	12	no	no	DET
ejpam-728	295	13	error	error	NOUN
ejpam-728	295	14	but	but	CCONJ
ejpam-728	295	15	at	at	ADP
ejpam-728	295	16	points	point	NOUN
ejpam-728	295	17	x	x	X
ejpam-728	295	18	=	=	SYM
ejpam-728	295	19	0.6	0.6	NUM
ejpam-728	295	20	to	to	ADP
ejpam-728	295	21	0.9	0.9	NUM
ejpam-728	295	22	,	,	PUNCT
ejpam-728	295	23	the	the	DET
ejpam-728	295	24	error	error	NOUN
ejpam-728	295	25	is	be	AUX
ejpam-728	295	26	1×	1×	NUM
ejpam-728	295	27	10−10	10−10	NUM
ejpam-728	295	28	and	and	CCONJ
ejpam-728	295	29	it	it	PRON
ejpam-728	295	30	declines	decline	VERB
ejpam-728	295	31	to	to	ADP
ejpam-728	295	32	0	0	NUM
ejpam-728	295	33	for	for	ADP
ejpam-728	295	34	point	point	NOUN
ejpam-728	295	35	1.0	1.0	NUM
ejpam-728	295	36	while	while	NOUN
ejpam-728	295	37	for	for	ADP
ejpam-728	295	38	sixth	sixth	ADJ
ejpam-728	295	39	-	-	PUNCT
ejpam-728	295	40	order	order	NOUN
ejpam-728	295	41	bvps	bvps	NOUN
ejpam-728	295	42	of	of	ADP
ejpam-728	295	43	1	1	NUM
ejpam-728	295	44	4	4	NUM
ejpam-728	295	45	fractional	fractional	ADJ
ejpam-728	295	46	order	order	NOUN
ejpam-728	295	47	function	function	NOUN
ejpam-728	295	48	,	,	PUNCT
ejpam-728	295	49	the	the	DET
ejpam-728	295	50	maximum	maximum	ADJ
ejpam-728	295	51	error	error	NOUN
ejpam-728	295	52	is	be	AUX
ejpam-728	295	53	1	1	NUM
ejpam-728	295	54	∑	∑	NOUN
ejpam-728	295	55	i=0	i=0	PROPN
ejpam-728	295	56	x	x	SYM
ejpam-728	295	57	i	i	NOUN
ejpam-728	295	58	=	=	PUNCT
ejpam-728	295	59	0.9364059e−	0.9364059e−	NOUN
ejpam-728	295	60	3	3	NUM
ejpam-728	295	61	.	.	PUNCT
ejpam-728	295	62	from	from	ADP
ejpam-728	295	63	table	table	NOUN
ejpam-728	295	64	3	3	NUM
ejpam-728	295	65	,	,	PUNCT
ejpam-728	295	66	we	we	PRON
ejpam-728	295	67	can	can	AUX
ejpam-728	295	68	see	see	VERB
ejpam-728	295	69	it	it	PRON
ejpam-728	295	70	has	have	VERB
ejpam-728	295	71	no	no	DET
ejpam-728	295	72	error	error	NOUN
ejpam-728	295	73	only	only	ADV
ejpam-728	295	74	for	for	ADP
ejpam-728	295	75	point	point	NOUN
ejpam-728	295	76	x	x	X
ejpam-728	295	77	=	=	SYM
ejpam-728	295	78	0.0	0.0	NUM
ejpam-728	295	79	.	.	PUNCT
ejpam-728	296	1	references	reference	NOUN
ejpam-728	296	2	184	184	NUM
ejpam-728	296	3	6	6	NUM
ejpam-728	296	4	.	.	PUNCT
ejpam-728	297	1	conclusion	conclusion	VERB
ejpam-728	297	2	the	the	DET
ejpam-728	297	3	results	result	NOUN
ejpam-728	297	4	of	of	ADP
ejpam-728	297	5	this	this	DET
ejpam-728	297	6	research	research	NOUN
ejpam-728	297	7	support	support	VERB
ejpam-728	297	8	the	the	DET
ejpam-728	297	9	idea	idea	NOUN
ejpam-728	297	10	that	that	SCONJ
ejpam-728	297	11	dtm	dtm	PROPN
ejpam-728	297	12	has	have	AUX
ejpam-728	297	13	high	high	ADJ
ejpam-728	297	14	degree	degree	NOUN
ejpam-728	297	15	of	of	ADP
ejpam-728	297	16	accuracy	accuracy	NOUN
ejpam-728	297	17	in	in	ADP
ejpam-728	297	18	numerical	numerical	ADJ
ejpam-728	297	19	solution	solution	NOUN
ejpam-728	297	20	.	.	PUNCT
ejpam-728	298	1	we	we	PRON
ejpam-728	298	2	introduced	introduce	VERB
ejpam-728	298	3	general	general	ADJ
ejpam-728	298	4	form	form	NOUN
ejpam-728	298	5	of	of	ADP
ejpam-728	298	6	nth	nth	NOUN
ejpam-728	298	7	-	-	PUNCT
ejpam-728	298	8	order	order	NOUN
ejpam-728	298	9	bvps	bvps	NOUN
ejpam-728	298	10	for	for	ADP
ejpam-728	298	11	fractional	fractional	ADJ
ejpam-728	298	12	order	order	NOUN
ejpam-728	298	13	function	function	NOUN
ejpam-728	298	14	.	.	PUNCT
ejpam-728	299	1	this	this	DET
ejpam-728	299	2	research	research	NOUN
ejpam-728	299	3	will	will	AUX
ejpam-728	299	4	serve	serve	VERB
ejpam-728	299	5	as	as	ADP
ejpam-728	299	6	a	a	DET
ejpam-728	299	7	base	base	NOUN
ejpam-728	299	8	for	for	ADP
ejpam-728	299	9	future	future	ADJ
ejpam-728	299	10	studies	study	NOUN
ejpam-728	299	11	in	in	ADP
ejpam-728	299	12	nonlinear	nonlinear	ADJ
ejpam-728	299	13	function	function	NOUN
ejpam-728	299	14	especially	especially	ADV
ejpam-728	299	15	in	in	ADP
ejpam-728	299	16	fractional	fractional	ADJ
ejpam-728	299	17	order	order	NOUN
ejpam-728	299	18	function	function	NOUN
ejpam-728	299	19	.	.	PUNCT
ejpam-728	300	1	therefore	therefore	ADV
ejpam-728	300	2	,	,	PUNCT
ejpam-728	300	3	we	we	PRON
ejpam-728	300	4	proved	prove	VERB
ejpam-728	300	5	the	the	DET
ejpam-728	300	6	dtm	dtm	PROPN
ejpam-728	300	7	method	method	NOUN
ejpam-728	300	8	very	very	ADV
ejpam-728	300	9	successful	successful	ADJ
ejpam-728	300	10	and	and	CCONJ
ejpam-728	300	11	powerful	powerful	ADJ
ejpam-728	300	12	in	in	ADP
ejpam-728	300	13	numerical	numerical	ADJ
ejpam-728	300	14	solution	solution	NOUN
ejpam-728	300	15	for	for	ADP
ejpam-728	300	16	the	the	DET
ejpam-728	300	17	bounded	bound	VERB
ejpam-728	300	18	domains	domain	NOUN
ejpam-728	300	19	.	.	PUNCT
ejpam-728	301	1	the	the	DET
ejpam-728	301	2	computations	computation	NOUN
ejpam-728	301	3	in	in	ADP
ejpam-728	301	4	the	the	DET
ejpam-728	301	5	examples	example	NOUN
ejpam-728	301	6	were	be	AUX
ejpam-728	301	7	computed	compute	VERB
ejpam-728	301	8	by	by	ADP
ejpam-728	301	9	using	use	VERB
ejpam-728	301	10	maple	maple	NOUN
ejpam-728	301	11	9	9	NUM
ejpam-728	301	12	.	.	PUNCT
ejpam-728	302	1	references	reference	NOUN
ejpam-728	302	2	[	[	X
ejpam-728	302	3	1	1	NUM
ejpam-728	302	4	]	]	PUNCT
ejpam-728	302	5	aytac	aytac	PROPN
ejpam-728	302	6	arikoglu	arikoglu	NOUN
ejpam-728	302	7	and	and	CCONJ
ejpam-728	302	8	i.	i.	NOUN
ejpam-728	302	9	ozkol	ozkol	NOUN
ejpam-728	302	10	,	,	PUNCT
ejpam-728	302	11	solution	solution	NOUN
ejpam-728	302	12	of	of	ADP
ejpam-728	302	13	boundary	boundary	ADJ
ejpam-728	302	14	value	value	NOUN
ejpam-728	302	15	problems	problem	NOUN
ejpam-728	302	16	for	for	ADP
ejpam-728	302	17	integrodifferential	integrodifferential	ADJ
ejpam-728	302	18	equations	equation	NOUN
ejpam-728	302	19	by	by	ADP
ejpam-728	302	20	using	use	VERB
ejpam-728	302	21	differential	differential	ADJ
ejpam-728	302	22	transform	transform	NOUN
ejpam-728	302	23	method	method	NOUN
ejpam-728	302	24	,	,	PUNCT
ejpam-728	302	25	applied	apply	VERB
ejpam-728	302	26	mathematics	mathematic	NOUN
ejpam-728	302	27	and	and	CCONJ
ejpam-728	302	28	computation	computation	NOUN
ejpam-728	302	29	,	,	PUNCT
ejpam-728	302	30	168	168	NUM
ejpam-728	302	31	,	,	PUNCT
ejpam-728	302	32	pp	pp	ADJ
ejpam-728	302	33	.	.	PUNCT
ejpam-728	303	1	1145	1145	NUM
ejpam-728	303	2	-	-	PUNCT
ejpam-728	303	3	ű1158	ű1158	PROPN
ejpam-728	303	4	.	.	PROPN
ejpam-728	303	5	2005	2005	NUM
ejpam-728	303	6	.	.	PUNCT
ejpam-728	304	1	[	[	X
ejpam-728	304	2	2	2	NUM
ejpam-728	304	3	]	]	X
ejpam-728	304	4	f.	f.	PROPN
ejpam-728	304	5	ayaz	ayaz	PROPN
ejpam-728	304	6	,	,	PUNCT
ejpam-728	304	7	on	on	ADP
ejpam-728	304	8	the	the	DET
ejpam-728	304	9	two	two	NUM
ejpam-728	304	10	-	-	PUNCT
ejpam-728	304	11	dimensional	dimensional	ADJ
ejpam-728	304	12	differential	differential	NOUN
ejpam-728	304	13	transforms	transform	VERB
ejpam-728	304	14	method	method	NOUN
ejpam-728	304	15	,	,	PUNCT
ejpam-728	304	16	applied	apply	VERB
ejpam-728	304	17	mathematics	mathematic	NOUN
ejpam-728	304	18	and	and	CCONJ
ejpam-728	304	19	computation	computation	NOUN
ejpam-728	304	20	,	,	PUNCT
ejpam-728	304	21	143	143	NUM
ejpam-728	304	22	,	,	PUNCT
ejpam-728	304	23	pp	pp	ADJ
ejpam-728	304	24	.	.	PUNCT
ejpam-728	305	1	361–374	361–374	NUM
ejpam-728	305	2	.	.	PUNCT
ejpam-728	306	1	2003	2003	NUM
ejpam-728	306	2	.	.	PUNCT
ejpam-728	307	1	[	[	X
ejpam-728	307	2	3	3	NUM
ejpam-728	307	3	]	]	X
ejpam-728	307	4	f.	f.	PROPN
ejpam-728	307	5	ayaz	ayaz	PROPN
ejpam-728	307	6	,	,	PUNCT
ejpam-728	307	7	solutions	solution	NOUN
ejpam-728	307	8	of	of	ADP
ejpam-728	307	9	the	the	DET
ejpam-728	307	10	system	system	NOUN
ejpam-728	307	11	of	of	ADP
ejpam-728	307	12	differential	differential	ADJ
ejpam-728	307	13	equations	equation	NOUN
ejpam-728	307	14	by	by	ADP
ejpam-728	307	15	differential	differential	ADJ
ejpam-728	307	16	transform	transform	NOUN
ejpam-728	307	17	method	method	NOUN
ejpam-728	307	18	,	,	PUNCT
ejpam-728	307	19	applied	apply	VERB
ejpam-728	307	20	mathematics	mathematic	NOUN
ejpam-728	307	21	and	and	CCONJ
ejpam-728	307	22	computation	computation	NOUN
ejpam-728	307	23	,	,	PUNCT
ejpam-728	307	24	147	147	NUM
ejpam-728	307	25	,	,	PUNCT
ejpam-728	307	26	pp	pp	ADJ
ejpam-728	307	27	.	.	PUNCT
ejpam-728	308	1	547–567	547–567	NUM
ejpam-728	308	2	.	.	PUNCT
ejpam-728	308	3	2004	2004	NUM
ejpam-728	308	4	.	.	PUNCT
ejpam-728	309	1	[	[	X
ejpam-728	309	2	4	4	NUM
ejpam-728	309	3	]	]	X
ejpam-728	309	4	n.	n.	NOUN
ejpam-728	309	5	bildik	bildik	PROPN
ejpam-728	309	6	,	,	PUNCT
ejpam-728	309	7	a.	a.	NOUN
ejpam-728	309	8	konuralp	konuralp	PROPN
ejpam-728	309	9	,	,	PUNCT
ejpam-728	309	10	f.o	f.o	PROPN
ejpam-728	309	11	.	.	PROPN
ejpam-728	309	12	bek	bek	PROPN
ejpam-728	309	13	and	and	CCONJ
ejpam-728	309	14	s.	s.	PROPN
ejpam-728	309	15	kucukarslan	kucukarslan	PROPN
ejpam-728	309	16	,	,	PUNCT
ejpam-728	309	17	solution	solution	NOUN
ejpam-728	309	18	of	of	ADP
ejpam-728	309	19	different	different	ADJ
ejpam-728	309	20	type	type	NOUN
ejpam-728	309	21	of	of	ADP
ejpam-728	309	22	the	the	DET
ejpam-728	309	23	partial	partial	ADJ
ejpam-728	309	24	differential	differential	NOUN
ejpam-728	309	25	equation	equation	NOUN
ejpam-728	309	26	by	by	ADP
ejpam-728	309	27	differential	differential	ADJ
ejpam-728	309	28	transform	transform	NOUN
ejpam-728	309	29	method	method	NOUN
ejpam-728	309	30	and	and	CCONJ
ejpam-728	309	31	adomian	adomian	NOUN
ejpam-728	309	32	’s	’s	PART
ejpam-728	309	33	decomposition	decomposition	NOUN
ejpam-728	309	34	method	method	NOUN
ejpam-728	309	35	,	,	PUNCT
ejpam-728	309	36	applied	apply	VERB
ejpam-728	309	37	mathematics	mathematic	NOUN
ejpam-728	309	38	and	and	CCONJ
ejpam-728	309	39	computation	computation	NOUN
ejpam-728	309	40	,	,	PUNCT
ejpam-728	309	41	172	172	NUM
ejpam-728	309	42	,	,	PUNCT
ejpam-728	309	43	pp	pp	ADJ
ejpam-728	309	44	.	.	PUNCT
ejpam-728	310	1	551ű-567	551ű-567	NUM
ejpam-728	310	2	.	.	NOUN
ejpam-728	310	3	2006	2006	NUM
ejpam-728	310	4	.	.	PUNCT
ejpam-728	311	1	[	[	X
ejpam-728	311	2	5	5	NUM
ejpam-728	311	3	]	]	PUNCT
ejpam-728	311	4	a.	a.	NOUN
ejpam-728	311	5	borhanifar	borhanifar	NOUN
ejpam-728	311	6	and	and	CCONJ
ejpam-728	311	7	reza	reza	PROPN
ejpam-728	311	8	abazari	abazari	ADJ
ejpam-728	311	9	,	,	PUNCT
ejpam-728	311	10	exact	exact	ADJ
ejpam-728	311	11	solutions	solution	NOUN
ejpam-728	311	12	for	for	ADP
ejpam-728	311	13	non	non	ADJ
ejpam-728	311	14	-	-	ADJ
ejpam-728	311	15	linear	linear	ADJ
ejpam-728	311	16	schrödinger	schrödinger	ADJ
ejpam-728	311	17	equations	equation	NOUN
ejpam-728	311	18	by	by	ADP
ejpam-728	311	19	differential	differential	ADJ
ejpam-728	311	20	transformation	transformation	NOUN
ejpam-728	311	21	method	method	NOUN
ejpam-728	311	22	,	,	PUNCT
ejpam-728	311	23	applied	apply	VERB
ejpam-728	311	24	mathematics	mathematic	NOUN
ejpam-728	311	25	and	and	CCONJ
ejpam-728	311	26	computation	computation	NOUN
ejpam-728	311	27	,	,	PUNCT
ejpam-728	311	28	doi:10.1007	doi:10.1007	NOUN
ejpam-728	311	29	/	/	SYM
ejpam-728	311	30	s12190	s12190	NOUN
ejpam-728	311	31	-	-	PUNCT
ejpam-728	311	32	009	009	NUM
ejpam-728	311	33	-	-	PUNCT
ejpam-728	311	34	0338	0338	NUM
ejpam-728	311	35	-	-	PUNCT
ejpam-728	311	36	2	2	NUM
ejpam-728	311	37	.	.	NUM
ejpam-728	311	38	2009	2009	NUM
ejpam-728	311	39	.	.	PUNCT
ejpam-728	312	1	[	[	X
ejpam-728	312	2	6	6	NUM
ejpam-728	312	3	]	]	PUNCT
ejpam-728	312	4	c.	c.	PROPN
ejpam-728	312	5	k.	k.	PROPN
ejpam-728	312	6	chen	chen	PROPN
ejpam-728	312	7	,	,	PUNCT
ejpam-728	312	8	s.	s.	PROPN
ejpam-728	312	9	h.	h.	PROPN
ejpam-728	312	10	ho	ho	PROPN
ejpam-728	312	11	,	,	PUNCT
ejpam-728	312	12	solving	solve	VERB
ejpam-728	312	13	partial	partial	ADJ
ejpam-728	312	14	differential	differential	NOUN
ejpam-728	312	15	equation	equation	NOUN
ejpam-728	312	16	by	by	ADP
ejpam-728	312	17	two	two	NUM
ejpam-728	312	18	-	-	PUNCT
ejpam-728	312	19	dimensional	dimensional	ADJ
ejpam-728	312	20	differential	differential	ADJ
ejpam-728	312	21	transformation	transformation	NOUN
ejpam-728	312	22	methodapplied	methodapplie	VERB
ejpam-728	312	23	mathematics	mathematic	NOUN
ejpam-728	312	24	and	and	CCONJ
ejpam-728	312	25	computation,106	computation,106	NOUN
ejpam-728	312	26	,	,	PUNCT
ejpam-728	312	27	pp	pp	ADJ
ejpam-728	312	28	.	.	PUNCT
ejpam-728	313	1	171–179	171–179	NUM
ejpam-728	313	2	.	.	PUNCT
ejpam-728	313	3	1999	1999	NUM
ejpam-728	313	4	.	.	PUNCT
ejpam-728	314	1	[	[	X
ejpam-728	314	2	7	7	X
ejpam-728	314	3	]	]	X
ejpam-728	314	4	c.	c.	PROPN
ejpam-728	314	5	l.	l.	PROPN
ejpam-728	314	6	chen	chen	PROPN
ejpam-728	314	7	,	,	PUNCT
ejpam-728	314	8	y.	y.	PROPN
ejpam-728	314	9	c.	c.	PROPN
ejpam-728	314	10	liu	liu	PROPN
ejpam-728	314	11	,	,	PUNCT
ejpam-728	314	12	solution	solution	NOUN
ejpam-728	314	13	of	of	ADP
ejpam-728	314	14	two	two	NUM
ejpam-728	314	15	-	-	PUNCT
ejpam-728	314	16	point	point	NOUN
ejpam-728	314	17	boundary	boundary	ADJ
ejpam-728	314	18	value	value	NOUN
ejpam-728	314	19	problems	problem	NOUN
ejpam-728	314	20	using	use	VERB
ejpam-728	314	21	the	the	DET
ejpam-728	314	22	differential	differential	ADJ
ejpam-728	314	23	transformation	transformation	NOUN
ejpam-728	314	24	method	method	NOUN
ejpam-728	314	25	,	,	PUNCT
ejpam-728	314	26	journal	journal	NOUN
ejpam-728	314	27	of	of	ADP
ejpam-728	314	28	optimization	optimization	NOUN
ejpam-728	314	29	theory	theory	NOUN
ejpam-728	314	30	and	and	CCONJ
ejpam-728	314	31	applications	application	NOUN
ejpam-728	314	32	,	,	PUNCT
ejpam-728	314	33	99	99	NUM
ejpam-728	314	34	,	,	PUNCT
ejpam-728	314	35	pp	pp	ADJ
ejpam-728	314	36	.	.	PUNCT
ejpam-728	315	1	23–35	23–35	NUM
ejpam-728	315	2	.	.	NOUN
ejpam-728	315	3	1998	1998	NUM
ejpam-728	315	4	.	.	PUNCT
ejpam-728	316	1	[	[	X
ejpam-728	316	2	8	8	NUM
ejpam-728	316	3	]	]	PUNCT
ejpam-728	316	4	vedat	vedat	PROPN
ejpam-728	316	5	suat	suat	PROPN
ejpam-728	316	6	erturk	erturk	PROPN
ejpam-728	316	7	and	and	CCONJ
ejpam-728	316	8	shaher	shaher	PROPN
ejpam-728	316	9	momani	momani	PROPN
ejpam-728	316	10	,	,	PUNCT
ejpam-728	316	11	comparing	compare	VERB
ejpam-728	316	12	numerical	numerical	ADJ
ejpam-728	316	13	methods	method	NOUN
ejpam-728	316	14	for	for	ADP
ejpam-728	316	15	solving	solve	VERB
ejpam-728	316	16	fourth	fourth	ADJ
ejpam-728	316	17	-	-	PUNCT
ejpam-728	316	18	order	order	NOUN
ejpam-728	316	19	boundary	boundary	ADJ
ejpam-728	316	20	value	value	NOUN
ejpam-728	316	21	problems	problem	NOUN
ejpam-728	316	22	,	,	PUNCT
ejpam-728	316	23	applied	apply	VERB
ejpam-728	316	24	mathematics	mathematic	NOUN
ejpam-728	316	25	and	and	CCONJ
ejpam-728	316	26	computation,188	computation,188	PROPN
ejpam-728	316	27	,	,	PUNCT
ejpam-728	316	28	pp	pp	PROPN
ejpam-728	316	29	.	.	PUNCT
ejpam-728	316	30	1963ű-1968	1963ű-1968	NUM
ejpam-728	316	31	.	.	PUNCT
ejpam-728	317	1	2007	2007	NUM
ejpam-728	317	2	.	.	PUNCT
ejpam-728	318	1	[	[	X
ejpam-728	318	2	9	9	NUM
ejpam-728	318	3	]	]	PUNCT
ejpam-728	318	4	i.	i.	PROPN
ejpam-728	318	5	h.	h.	PROPN
ejpam-728	318	6	abdel	abdel	PROPN
ejpam-728	318	7	-	-	PUNCT
ejpam-728	318	8	halim	halim	PROPN
ejpam-728	318	9	hassan	hassan	PROPN
ejpam-728	318	10	and	and	CCONJ
ejpam-728	318	11	vedat	vedat	PROPN
ejpam-728	318	12	suat	suat	NOUN
ejpam-728	318	13	ertürk	ertürk	PROPN
ejpam-728	318	14	,	,	PUNCT
ejpam-728	318	15	solutions	solution	NOUN
ejpam-728	318	16	of	of	ADP
ejpam-728	318	17	different	different	ADJ
ejpam-728	318	18	types	type	NOUN
ejpam-728	318	19	of	of	ADP
ejpam-728	318	20	the	the	DET
ejpam-728	318	21	linear	linear	ADJ
ejpam-728	318	22	and	and	CCONJ
ejpam-728	318	23	nonlinear	nonlinear	ADJ
ejpam-728	318	24	higher	high	ADJ
ejpam-728	318	25	-	-	PUNCT
ejpam-728	318	26	order	order	NOUN
ejpam-728	318	27	boundary	boundary	ADJ
ejpam-728	318	28	value	value	NOUN
ejpam-728	318	29	problems	problem	NOUN
ejpam-728	318	30	by	by	ADP
ejpam-728	318	31	differential	differential	ADJ
ejpam-728	318	32	transformation	transformation	NOUN
ejpam-728	318	33	method	method	NOUN
ejpam-728	318	34	,	,	PUNCT
ejpam-728	318	35	european	european	PROPN
ejpam-728	318	36	journal	journal	NOUN
ejpam-728	318	37	of	of	ADP
ejpam-728	318	38	pure	pure	ADJ
ejpam-728	318	39	and	and	CCONJ
ejpam-728	318	40	applied	applied	ADJ
ejpam-728	318	41	mathematics	mathematic	NOUN
ejpam-728	318	42	,	,	PUNCT
ejpam-728	318	43	2(3	2(3	NUM
ejpam-728	318	44	)	)	PUNCT
ejpam-728	318	45	,	,	PUNCT
ejpam-728	318	46	pp	pp	ADP
ejpam-728	318	47	.	.	PUNCT
ejpam-728	319	1	426–447	426–447	NUM
ejpam-728	319	2	.	.	PUNCT
ejpam-728	320	1	2009	2009	NUM
ejpam-728	320	2	.	.	PUNCT
ejpam-728	321	1	references	reference	NOUN
ejpam-728	321	2	185	185	NUM
ejpam-728	321	3	[	[	SYM
ejpam-728	321	4	10	10	NUM
ejpam-728	321	5	]	]	X
ejpam-728	321	6	c.	c.	PROPN
ejpam-728	321	7	h.	h.	PROPN
ejpam-728	321	8	c.	c.	PROPN
ejpam-728	321	9	hussin	hussin	PROPN
ejpam-728	321	10	and	and	CCONJ
ejpam-728	321	11	a.	a.	PROPN
ejpam-728	321	12	kılıçman	kılıçman	PROPN
ejpam-728	321	13	,	,	PUNCT
ejpam-728	321	14	on	on	ADP
ejpam-728	321	15	the	the	DET
ejpam-728	321	16	solutions	solution	NOUN
ejpam-728	321	17	of	of	ADP
ejpam-728	321	18	nonlinear	nonlinear	ADJ
ejpam-728	321	19	higher	high	ADJ
ejpam-728	321	20	-	-	PUNCT
ejpam-728	321	21	order	order	NOUN
ejpam-728	321	22	boundary	boundary	ADJ
ejpam-728	321	23	value	value	NOUN
ejpam-728	321	24	problems	problem	NOUN
ejpam-728	321	25	by	by	ADP
ejpam-728	321	26	using	use	VERB
ejpam-728	321	27	differential	differential	ADJ
ejpam-728	321	28	transformation	transformation	NOUN
ejpam-728	321	29	method	method	NOUN
ejpam-728	321	30	and	and	CCONJ
ejpam-728	321	31	adomian	adomian	NOUN
ejpam-728	321	32	decomposition	decomposition	NOUN
ejpam-728	321	33	method	method	NOUN
ejpam-728	321	34	,	,	PUNCT
ejpam-728	321	35	mathematical	mathematical	ADJ
ejpam-728	321	36	problems	problem	NOUN
ejpam-728	321	37	in	in	ADP
ejpam-728	321	38	engineering	engineering	NOUN
ejpam-728	321	39	,	,	PUNCT
ejpam-728	321	40	article	article	NOUN
ejpam-728	321	41	i	i	PROPN
ejpam-728	321	42	d	d	PROPN
ejpam-728	321	43	724927	724927	NUM
ejpam-728	321	44	,	,	PUNCT
ejpam-728	321	45	19	19	NUM
ejpam-728	321	46	pages	page	NOUN
ejpam-728	321	47	,	,	PUNCT
ejpam-728	321	48	doi:10.1155/2011/724927	doi:10.1155/2011/724927	PROPN
ejpam-728	321	49	.	.	NOUN
ejpam-728	321	50	2011	2011	NUM
ejpam-728	322	1	[	[	X
ejpam-728	322	2	11	11	NUM
ejpam-728	322	3	]	]	X
ejpam-728	322	4	siraj	siraj	PROPN
ejpam-728	322	5	-	-	PUNCT
ejpam-728	322	6	ul	ul	PROPN
ejpam-728	322	7	islam	islam	PROPN
ejpam-728	322	8	,	,	PUNCT
ejpam-728	322	9	sirajul	sirajul	PROPN
ejpam-728	322	10	haq	haq	PROPN
ejpam-728	322	11	,	,	PUNCT
ejpam-728	322	12	javid	javid	PROPN
ejpam-728	322	13	ali	ali	PROPN
ejpam-728	322	14	,	,	PUNCT
ejpam-728	322	15	numerical	numerical	ADJ
ejpam-728	322	16	solution	solution	NOUN
ejpam-728	322	17	of	of	ADP
ejpam-728	322	18	special	special	ADJ
ejpam-728	322	19	12th	12th	ADJ
ejpam-728	322	20	-	-	PUNCT
ejpam-728	322	21	order	order	NOUN
ejpam-728	322	22	boundary	boundary	ADJ
ejpam-728	322	23	value	value	NOUN
ejpam-728	322	24	problems	problem	NOUN
ejpam-728	322	25	using	use	VERB
ejpam-728	322	26	differential	differential	ADJ
ejpam-728	322	27	transform	transform	NOUN
ejpam-728	322	28	method	method	NOUN
ejpam-728	322	29	,	,	PUNCT
ejpam-728	322	30	commun	commun	PROPN
ejpam-728	322	31	nonlinear	nonlinear	PROPN
ejpam-728	322	32	sci	sci	PROPN
ejpam-728	322	33	numer	numer	PROPN
ejpam-728	322	34	simulat	simulat	PROPN
ejpam-728	322	35	,	,	PUNCT
ejpam-728	322	36	14	14	NUM
ejpam-728	322	37	,	,	PUNCT
ejpam-728	322	38	pp	pp	ADJ
ejpam-728	322	39	.	.	PUNCT
ejpam-728	323	1	1132	1132	NUM
ejpam-728	323	2	-	-	PUNCT
ejpam-728	323	3	ű1138	ű1138	PROPN
ejpam-728	323	4	.	.	PROPN
ejpam-728	323	5	2009	2009	NUM
ejpam-728	323	6	.	.	PUNCT
ejpam-728	324	1	[	[	X
ejpam-728	324	2	12	12	NUM
ejpam-728	324	3	]	]	X
ejpam-728	324	4	j.	j.	PROPN
ejpam-728	324	5	m.	m.	PROPN
ejpam-728	324	6	jang	jang	PROPN
ejpam-728	324	7	and	and	CCONJ
ejpam-728	324	8	c.	c.	PROPN
ejpam-728	324	9	l.	l.	PROPN
ejpam-728	324	10	chen	chen	PROPN
ejpam-728	324	11	,	,	PUNCT
ejpam-728	324	12	analysis	analysis	NOUN
ejpam-728	324	13	of	of	ADP
ejpam-728	324	14	the	the	DET
ejpam-728	324	15	response	response	NOUN
ejpam-728	324	16	of	of	ADP
ejpam-728	324	17	a	a	DET
ejpam-728	324	18	strongly	strongly	ADV
ejpam-728	324	19	nonlinear	nonlinear	ADJ
ejpam-728	324	20	damped	damp	VERB
ejpam-728	324	21	system	system	NOUN
ejpam-728	324	22	using	use	VERB
ejpam-728	324	23	a	a	DET
ejpam-728	324	24	differential	differential	ADJ
ejpam-728	324	25	transformation	transformation	NOUN
ejpam-728	324	26	technique	technique	NOUN
ejpam-728	324	27	,	,	PUNCT
ejpam-728	324	28	applied	apply	VERB
ejpam-728	324	29	mathematics	mathematic	NOUN
ejpam-728	324	30	and	and	CCONJ
ejpam-728	324	31	computation	computation	NOUN
ejpam-728	324	32	,	,	PUNCT
ejpam-728	324	33	88	88	NUM
ejpam-728	324	34	,	,	PUNCT
ejpam-728	324	35	pp.137	pp.137	NOUN
ejpam-728	324	36	-	-	ADJ
ejpam-728	324	37	151	151	NUM
ejpam-728	324	38	.	.	PUNCT
ejpam-728	324	39	1997	1997	NUM
ejpam-728	324	40	.	.	PUNCT
ejpam-728	325	1	[	[	X
ejpam-728	325	2	13	13	NUM
ejpam-728	325	3	]	]	PUNCT
ejpam-728	325	4	z.	z.	PROPN
ejpam-728	325	5	m.	m.	PROPN
ejpam-728	325	6	odibat	odibat	PROPN
ejpam-728	325	7	,	,	PUNCT
ejpam-728	325	8	c.	c.	PROPN
ejpam-728	325	9	bertelleb	bertelleb	PROPN
ejpam-728	325	10	,	,	PUNCT
ejpam-728	325	11	m.	m.	NOUN
ejpam-728	325	12	a.	a.	PROPN
ejpam-728	325	13	aziz	aziz	PROPN
ejpam-728	325	14	-	-	PUNCT
ejpam-728	325	15	alaouic	alaouic	ADJ
ejpam-728	325	16	,	,	PUNCT
ejpam-728	325	17	g.h.e	g.h.e	NOUN
ejpam-728	325	18	.	.	PUNCT
ejpam-728	325	19	duchamp	duchamp	PROPN
ejpam-728	325	20	,	,	PUNCT
ejpam-728	325	21	a	a	DET
ejpam-728	325	22	multi	multi	ADJ
ejpam-728	325	23	-	-	ADJ
ejpam-728	325	24	step	step	ADJ
ejpam-728	325	25	differential	differential	NOUN
ejpam-728	325	26	transform	transform	NOUN
ejpam-728	325	27	method	method	NOUN
ejpam-728	325	28	and	and	CCONJ
ejpam-728	325	29	application	application	NOUN
ejpam-728	325	30	to	to	ADP
ejpam-728	325	31	non	non	ADJ
ejpam-728	325	32	-	-	ADJ
ejpam-728	325	33	chaotic	chaotic	ADJ
ejpam-728	325	34	and	and	CCONJ
ejpam-728	325	35	chaotic	chaotic	ADJ
ejpam-728	325	36	systems	system	NOUN
ejpam-728	325	37	,	,	PUNCT
ejpam-728	325	38	computer	computer	NOUN
ejpam-728	325	39	and	and	CCONJ
ejpam-728	325	40	mathematics	mathematic	NOUN
ejpam-728	325	41	with	with	ADP
ejpam-728	325	42	applications	application	NOUN
ejpam-728	325	43	,	,	PUNCT
ejpam-728	325	44	doi:10.1016	doi:10.1016	PROPN
ejpam-728	325	45	/	/	SYM
ejpam-728	325	46	j.camwa.2009.11.005	j.camwa.2009.11.005	PROPN
ejpam-728	325	47	.	.	PUNCT
ejpam-728	325	48	2009	2009	NUM
ejpam-728	325	49	.	.	PUNCT
ejpam-728	326	1	[	[	X
ejpam-728	326	2	14	14	NUM
ejpam-728	326	3	]	]	PUNCT
ejpam-728	326	4	j.	j.	PROPN
ejpam-728	326	5	k.	k.	PROPN
ejpam-728	326	6	zhou	zhou	PROPN
ejpam-728	326	7	,	,	PUNCT
ejpam-728	326	8	differential	differential	ADJ
ejpam-728	326	9	transformation	transformation	NOUN
ejpam-728	326	10	and	and	CCONJ
ejpam-728	326	11	its	its	PRON
ejpam-728	326	12	application	application	NOUN
ejpam-728	326	13	for	for	ADP
ejpam-728	326	14	electrical	electrical	ADJ
ejpam-728	326	15	circuits	circuit	NOUN
ejpam-728	326	16	,	,	PUNCT
ejpam-728	326	17	huarjung	huarjung	PROPN
ejpam-728	326	18	university	university	PROPN
ejpam-728	326	19	press	press	NOUN
ejpam-728	326	20	,	,	PUNCT
ejpam-728	326	21	wuhan	wuhan	PROPN
ejpam-728	326	22	,	,	PUNCT
ejpam-728	326	23	china	china	PROPN
ejpam-728	326	24	.	.	PUNCT
ejpam-728	326	25	1986	1986	NUM
ejpam-728	326	26	.	.	PUNCT