id	sid	tid	token	lemma	pos
ejpam-1063	1	1	8_xxx_celik.dvi	8_xxx_celik.dvi	NUM
ejpam-1063	1	2	european	european	ADJ
ejpam-1063	1	3	journal	journal	PROPN
ejpam-1063	1	4	of	of	ADP
ejpam-1063	1	5	pure	pure	ADJ
ejpam-1063	1	6	and	and	CCONJ
ejpam-1063	1	7	applied	apply	VERB
ejpam-1063	1	8	mathematics	mathematic	NOUN
ejpam-1063	1	9	vol	vol	NOUN
ejpam-1063	1	10	.	.	PROPN
ejpam-1063	1	11	4	4	NUM
ejpam-1063	1	12	,	,	PUNCT
ejpam-1063	1	13	no	no	INTJ
ejpam-1063	1	14	.	.	NOUN
ejpam-1063	1	15	1	1	NUM
ejpam-1063	1	16	,	,	PUNCT
ejpam-1063	1	17	2011	2011	NUM
ejpam-1063	1	18	,	,	PUNCT
ejpam-1063	1	19	67	67	NUM
ejpam-1063	1	20	-	-	SYM
ejpam-1063	1	21	75	75	NUM
ejpam-1063	1	22	issn	issn	PROPN
ejpam-1063	1	23	1307	1307	NUM
ejpam-1063	1	24	-	-	SYM
ejpam-1063	1	25	5543	5543	NUM
ejpam-1063	1	26	–	–	PUNCT
ejpam-1063	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-1063	1	28	the	the	DET
ejpam-1063	1	29	numerical	numerical	ADJ
ejpam-1063	1	30	solution	solution	NOUN
ejpam-1063	1	31	of	of	ADP
ejpam-1063	1	32	partial	partial	ADJ
ejpam-1063	1	33	differential	differential	ADJ
ejpam-1063	1	34	-	-	PUNCT
ejpam-1063	1	35	algebraic	algebraic	ADJ
ejpam-1063	1	36	equations	equation	NOUN
ejpam-1063	1	37	(	(	PUNCT
ejpam-1063	1	38	pdaes	pdaes	NOUN
ejpam-1063	1	39	)	)	PUNCT
ejpam-1063	1	40	by	by	ADP
ejpam-1063	1	41	multivariate	multivariate	NOUN
ejpam-1063	1	42	pade	pade	NOUN
ejpam-1063	1	43	approximation	approximation	NOUN
ejpam-1063	1	44	muhammed	muhamme	VERB
ejpam-1063	1	45	yiğider	yiğider	PROPN
ejpam-1063	1	46	2	2	NUM
ejpam-1063	1	47	,	,	PUNCT
ejpam-1063	1	48	ercan	ercan	PROPN
ejpam-1063	1	49	celik1,∗	celik1,∗	PROPN
ejpam-1063	1	50	1	1	NUM
ejpam-1063	1	51	department	department	NOUN
ejpam-1063	1	52	of	of	ADP
ejpam-1063	1	53	mathematics	mathematic	NOUN
ejpam-1063	1	54	,	,	PUNCT
ejpam-1063	1	55	faculty	faculty	NOUN
ejpam-1063	1	56	of	of	ADP
ejpam-1063	1	57	science	science	NOUN
ejpam-1063	1	58	,	,	PUNCT
ejpam-1063	1	59	ataturk	ataturk	PROPN
ejpam-1063	1	60	university	university	PROPN
ejpam-1063	1	61	,	,	PUNCT
ejpam-1063	1	62	erzurum	erzurum	PROPN
ejpam-1063	1	63	,	,	PUNCT
ejpam-1063	1	64	turkey	turkey	PROPN
ejpam-1063	1	65	2	2	NUM
ejpam-1063	1	66	department	department	NOUN
ejpam-1063	1	67	of	of	ADP
ejpam-1063	1	68	mathematics	mathematic	NOUN
ejpam-1063	1	69	,	,	PUNCT
ejpam-1063	1	70	faculty	faculty	NOUN
ejpam-1063	1	71	of	of	ADP
ejpam-1063	1	72	art	art	NOUN
ejpam-1063	1	73	and	and	CCONJ
ejpam-1063	1	74	science	science	NOUN
ejpam-1063	1	75	,	,	PUNCT
ejpam-1063	1	76	erzincan	erzincan	PROPN
ejpam-1063	1	77	university	university	NOUN
ejpam-1063	1	78	,	,	PUNCT
ejpam-1063	1	79	erzincan	erzincan	ADJ
ejpam-1063	1	80	,	,	PUNCT
ejpam-1063	1	81	turkey	turkey	NOUN
ejpam-1063	1	82	abstract	abstract	NOUN
ejpam-1063	1	83	.	.	PUNCT
ejpam-1063	2	1	in	in	ADP
ejpam-1063	2	2	this	this	DET
ejpam-1063	2	3	paper	paper	NOUN
ejpam-1063	2	4	,	,	PUNCT
ejpam-1063	2	5	numerical	numerical	ADJ
ejpam-1063	2	6	solution	solution	NOUN
ejpam-1063	2	7	of	of	ADP
ejpam-1063	2	8	partial	partial	ADJ
ejpam-1063	2	9	diferential	diferential	ADJ
ejpam-1063	2	10	-	-	PUNCT
ejpam-1063	2	11	algebraic	algebraic	ADJ
ejpam-1063	2	12	equations(pdaes	equations(pdaes	PROPN
ejpam-1063	2	13	)	)	PUNCT
ejpam-1063	2	14	is	be	AUX
ejpam-1063	2	15	considered	consider	VERB
ejpam-1063	2	16	by	by	ADP
ejpam-1063	2	17	multivariate	multivariate	NOUN
ejpam-1063	2	18	padè	padè	ADJ
ejpam-1063	2	19	approximations	approximation	NOUN
ejpam-1063	2	20	.	.	PUNCT
ejpam-1063	3	1	we	we	PRON
ejpam-1063	3	2	applied	apply	VERB
ejpam-1063	3	3	these	these	DET
ejpam-1063	3	4	method	method	NOUN
ejpam-1063	3	5	to	to	ADP
ejpam-1063	3	6	one	one	NUM
ejpam-1063	3	7	example	example	NOUN
ejpam-1063	3	8	.	.	PUNCT
ejpam-1063	4	1	first	first	ADJ
ejpam-1063	4	2	partial	partial	ADJ
ejpam-1063	4	3	diferential	diferential	ADJ
ejpam-1063	4	4	-	-	PUNCT
ejpam-1063	4	5	algebraic	algebraic	ADJ
ejpam-1063	4	6	equation(pdae	equation(pdae	NOUN
ejpam-1063	4	7	)	)	PUNCT
ejpam-1063	4	8	has	have	AUX
ejpam-1063	4	9	been	be	AUX
ejpam-1063	4	10	converted	convert	VERB
ejpam-1063	4	11	to	to	ADP
ejpam-1063	4	12	power	power	NOUN
ejpam-1063	4	13	series	series	NOUN
ejpam-1063	4	14	by	by	ADP
ejpam-1063	4	15	two	two	NUM
ejpam-1063	4	16	-	-	PUNCT
ejpam-1063	4	17	dimensional	dimensional	ADJ
ejpam-1063	4	18	diferential	diferential	ADJ
ejpam-1063	4	19	transformation	transformation	NOUN
ejpam-1063	4	20	,	,	PUNCT
ejpam-1063	4	21	then	then	ADV
ejpam-1063	4	22	the	the	DET
ejpam-1063	4	23	numerical	numerical	ADJ
ejpam-1063	4	24	solution	solution	NOUN
ejpam-1063	4	25	of	of	ADP
ejpam-1063	4	26	equation	equation	NOUN
ejpam-1063	4	27	was	be	AUX
ejpam-1063	4	28	put	put	VERB
ejpam-1063	4	29	into	into	ADP
ejpam-1063	4	30	multivariate	multivariate	NOUN
ejpam-1063	4	31	padè	padè	ADV
ejpam-1063	4	32	series	series	NOUN
ejpam-1063	4	33	form	form	NOUN
ejpam-1063	4	34	.	.	PUNCT
ejpam-1063	5	1	thus	thus	ADV
ejpam-1063	5	2	we	we	PRON
ejpam-1063	5	3	obtained	obtain	VERB
ejpam-1063	5	4	numerical	numerical	ADJ
ejpam-1063	5	5	solution	solution	NOUN
ejpam-1063	5	6	of	of	ADP
ejpam-1063	5	7	partial	partial	ADJ
ejpam-1063	5	8	diferential	diferential	ADJ
ejpam-1063	5	9	-	-	PUNCT
ejpam-1063	5	10	algebraic	algebraic	ADJ
ejpam-1063	5	11	equation(pdae	equation(pdae	NOUN
ejpam-1063	5	12	)	)	PUNCT
ejpam-1063	5	13	.	.	PUNCT
ejpam-1063	6	1	2000	2000	NUM
ejpam-1063	6	2	mathematics	mathematic	NOUN
ejpam-1063	6	3	subject	subject	NOUN
ejpam-1063	6	4	classifications	classification	NOUN
ejpam-1063	6	5	:	:	PUNCT
ejpam-1063	6	6	35	35	NUM
ejpam-1063	6	7	key	key	ADJ
ejpam-1063	6	8	words	word	NOUN
ejpam-1063	6	9	and	and	CCONJ
ejpam-1063	6	10	phrases	phrase	NOUN
ejpam-1063	6	11	:	:	PUNCT
ejpam-1063	6	12	partial	partial	ADJ
ejpam-1063	6	13	differential	differential	ADJ
ejpam-1063	6	14	-	-	PUNCT
ejpam-1063	6	15	algebraic	algebraic	ADJ
ejpam-1063	6	16	equation	equation	NOUN
ejpam-1063	6	17	(	(	PUNCT
ejpam-1063	6	18	pdas	pdas	PROPN
ejpam-1063	6	19	)	)	PUNCT
ejpam-1063	6	20	,	,	PUNCT
ejpam-1063	6	21	two	two	NUM
ejpam-1063	6	22	-	-	PUNCT
ejpam-1063	6	23	dimensional	dimensional	ADJ
ejpam-1063	6	24	differential	differential	ADJ
ejpam-1063	6	25	transformation	transformation	NOUN
ejpam-1063	6	26	,	,	PUNCT
ejpam-1063	6	27	multivariate	multivariate	NOUN
ejpam-1063	6	28	padè	padè	ADV
ejpam-1063	6	29	approximation	approximation	NOUN
ejpam-1063	6	30	1	1	NUM
ejpam-1063	6	31	.	.	PUNCT
ejpam-1063	7	1	introduction	introduction	NOUN
ejpam-1063	7	2	in	in	ADP
ejpam-1063	7	3	this	this	DET
ejpam-1063	7	4	study	study	NOUN
ejpam-1063	7	5	,	,	PUNCT
ejpam-1063	7	6	we	we	PRON
ejpam-1063	7	7	consider	consider	VERB
ejpam-1063	7	8	linear	linear	ADJ
ejpam-1063	7	9	partial	partial	ADJ
ejpam-1063	7	10	differential	differential	NOUN
ejpam-1063	7	11	-	-	PUNCT
ejpam-1063	7	12	algebraic	algebraic	ADJ
ejpam-1063	7	13	equations(pdaes	equations(pdaes	PROPN
ejpam-1063	7	14	)	)	PUNCT
ejpam-1063	7	15	of	of	ADP
ejpam-1063	7	16	the	the	DET
ejpam-1063	7	17	form	form	NOUN
ejpam-1063	7	18	aut(t	aut(t	NOUN
ejpam-1063	7	19	,	,	PUNCT
ejpam-1063	7	20	x	x	NOUN
ejpam-1063	7	21	)	)	PUNCT
ejpam-1063	8	1	+	+	CCONJ
ejpam-1063	8	2	bux	bux	NOUN
ejpam-1063	8	3	x	x	SYM
ejpam-1063	8	4	(	(	PUNCT
ejpam-1063	8	5	t	t	PROPN
ejpam-1063	8	6	,	,	PUNCT
ejpam-1063	8	7	x	x	NOUN
ejpam-1063	8	8	)	)	PUNCT
ejpam-1063	8	9	+	+	CCONJ
ejpam-1063	8	10	cu(t	cu(t	PUNCT
ejpam-1063	8	11	,	,	PUNCT
ejpam-1063	8	12	x	x	X
ejpam-1063	8	13	)	)	PUNCT
ejpam-1063	8	14	=	=	SYM
ejpam-1063	8	15	f	f	PROPN
ejpam-1063	8	16	(	(	PUNCT
ejpam-1063	8	17	t	t	PROPN
ejpam-1063	8	18	,	,	PUNCT
ejpam-1063	8	19	x	x	NOUN
ejpam-1063	8	20	)	)	PUNCT
ejpam-1063	8	21	(	(	PUNCT
ejpam-1063	8	22	1	1	X
ejpam-1063	8	23	)	)	PUNCT
ejpam-1063	9	1	where	where	SCONJ
ejpam-1063	9	2	t	t	PROPN
ejpam-1063	9	3	∈	∈	PROPN
ejpam-1063	9	4	(	(	PUNCT
ejpam-1063	9	5	0	0	NUM
ejpam-1063	9	6	,	,	PUNCT
ejpam-1063	9	7	te	te	ADJ
ejpam-1063	9	8	)	)	PUNCT
ejpam-1063	9	9	and	and	CCONJ
ejpam-1063	9	10	x	x	PUNCT
ejpam-1063	9	11	∈	∈	PROPN
ejpam-1063	9	12	(	(	PUNCT
ejpam-1063	9	13	−l	−l	NOUN
ejpam-1063	9	14	,	,	PUNCT
ejpam-1063	9	15	l	l	NOUN
ejpam-1063	9	16	)	)	PUNCT
ejpam-1063	9	17	⊂	⊂	PROPN
ejpam-1063	10	1	r	r	NOUN
ejpam-1063	10	2	,	,	PUNCT
ejpam-1063	10	3	a	a	DET
ejpam-1063	10	4	,	,	PUNCT
ejpam-1063	10	5	b	b	NOUN
ejpam-1063	10	6	,	,	PUNCT
ejpam-1063	10	7	c	c	PROPN
ejpam-1063	10	8	∈	∈	PROPN
ejpam-1063	10	9	rnxn	rnxn	NOUN
ejpam-1063	10	10	are	be	AUX
ejpam-1063	10	11	constant	constant	ADJ
ejpam-1063	10	12	matrices	matrix	NOUN
ejpam-1063	10	13	,	,	PUNCT
ejpam-1063	10	14	u	u	NOUN
ejpam-1063	10	15	,	,	PUNCT
ejpam-1063	10	16	f	f	PROPN
ejpam-1063	10	17	:	:	PUNCT
ejpam-1063	10	18	�	�	PROPN
ejpam-1063	10	19	0	0	NUM
ejpam-1063	10	20	,	,	PUNCT
ejpam-1063	10	21	te	te	ADP
ejpam-1063	10	22	�	�	PROPN
ejpam-1063	10	23	x	x	PUNCT
ejpam-1063	11	1	[	[	X
ejpam-1063	11	2	−l	−l	NOUN
ejpam-1063	11	3	,	,	PUNCT
ejpam-1063	11	4	l	l	NOUN
ejpam-1063	11	5	]	]	X
ejpam-1063	11	6	→	→	SYM
ejpam-1063	11	7	rn	rn	PROPN
ejpam-1063	11	8	.	.	PUNCT
ejpam-1063	12	1	we	we	PRON
ejpam-1063	12	2	are	be	AUX
ejpam-1063	12	3	interested	interested	ADJ
ejpam-1063	12	4	in	in	ADP
ejpam-1063	12	5	cases	case	NOUN
ejpam-1063	12	6	where	where	SCONJ
ejpam-1063	12	7	at	at	ADV
ejpam-1063	12	8	least	least	ADV
ejpam-1063	12	9	one	one	NUM
ejpam-1063	12	10	of	of	ADP
ejpam-1063	12	11	the	the	DET
ejpam-1063	12	12	matrices	matrix	NOUN
ejpam-1063	12	13	a	a	PRON
ejpam-1063	12	14	and	and	CCONJ
ejpam-1063	12	15	bis	bis	ADJ
ejpam-1063	12	16	singular	singular	NOUN
ejpam-1063	12	17	.	.	PUNCT
ejpam-1063	13	1	the	the	DET
ejpam-1063	13	2	two	two	NUM
ejpam-1063	13	3	special	special	ADJ
ejpam-1063	13	4	cases	case	NOUN
ejpam-1063	13	5	a=	a=	VERB
ejpam-1063	13	6	0	0	NUM
ejpam-1063	13	7	or	or	CCONJ
ejpam-1063	13	8	b	b	X
ejpam-1063	13	9	=	=	SYM
ejpam-1063	13	10	0	0	NUM
ejpam-1063	13	11	lead	lead	NOUN
ejpam-1063	13	12	to	to	ADP
ejpam-1063	13	13	ordinary	ordinary	ADJ
ejpam-1063	13	14	differential	differential	ADJ
ejpam-1063	13	15	equations	equation	NOUN
ejpam-1063	13	16	or	or	CCONJ
ejpam-1063	13	17	daes	daes	PROPN
ejpam-1063	13	18	which	which	PRON
ejpam-1063	13	19	are	be	AUX
ejpam-1063	13	20	not	not	PART
ejpam-1063	13	21	considered	consider	VERB
ejpam-1063	13	22	here	here	ADV
ejpam-1063	13	23	.	.	PUNCT
ejpam-1063	14	1	therefore	therefore	ADV
ejpam-1063	14	2	in	in	ADP
ejpam-1063	14	3	this	this	DET
ejpam-1063	14	4	paper	paper	NOUN
ejpam-1063	14	5	we	we	PRON
ejpam-1063	14	6	assume	assume	VERB
ejpam-1063	14	7	that	that	SCONJ
ejpam-1063	14	8	none	none	NOUN
ejpam-1063	14	9	of	of	ADP
ejpam-1063	14	10	the	the	DET
ejpam-1063	14	11	matrices	matrix	NOUN
ejpam-1063	14	12	a	a	PRON
ejpam-1063	14	13	or	or	CCONJ
ejpam-1063	14	14	b	b	NOUN
ejpam-1063	14	15	is	be	AUX
ejpam-1063	14	16	the	the	DET
ejpam-1063	14	17	zero	zero	NUM
ejpam-1063	14	18	matrix	matrix	NOUN
ejpam-1063	14	19	[	[	X
ejpam-1063	14	20	6	6	NUM
ejpam-1063	14	21	,	,	PUNCT
ejpam-1063	14	22	7	7	NUM
ejpam-1063	14	23	]	]	PUNCT
ejpam-1063	14	24	.	.	PUNCT
ejpam-1063	15	1	many	many	ADJ
ejpam-1063	15	2	important	important	ADJ
ejpam-1063	15	3	mathematical	mathematical	ADJ
ejpam-1063	15	4	models	model	NOUN
ejpam-1063	15	5	can	can	AUX
ejpam-1063	15	6	be	be	AUX
ejpam-1063	15	7	expressed	express	VERB
ejpam-1063	15	8	in	in	ADP
ejpam-1063	15	9	terms	term	NOUN
ejpam-1063	15	10	of	of	ADP
ejpam-1063	15	11	partial	partial	ADJ
ejpam-1063	15	12	differential	differential	NOUN
ejpam-1063	15	13	algebraic	algebraic	ADJ
ejpam-1063	15	14	equations(pdaes	equations(pdaes	PROPN
ejpam-1063	15	15	)	)	PUNCT
ejpam-1063	15	16	.	.	PUNCT
ejpam-1063	16	1	such	such	ADJ
ejpam-1063	16	2	models	model	NOUN
ejpam-1063	16	3	arise	arise	VERB
ejpam-1063	16	4	in	in	ADP
ejpam-1063	16	5	many	many	ADJ
ejpam-1063	16	6	areas	area	NOUN
ejpam-1063	16	7	of	of	ADP
ejpam-1063	16	8	mathematics	mathematic	NOUN
ejpam-1063	16	9	,	,	PUNCT
ejpam-1063	16	10	engineering	engineering	NOUN
ejpam-1063	16	11	,	,	PUNCT
ejpam-1063	16	12	the	the	DET
ejpam-1063	16	13	physical	physical	ADJ
ejpam-1063	16	14	sciences	science	NOUN
ejpam-1063	16	15	and	and	CCONJ
ejpam-1063	16	16	population	population	NOUN
ejpam-1063	16	17	growth	growth	NOUN
ejpam-1063	16	18	.	.	PUNCT
ejpam-1063	17	1	in	in	ADP
ejpam-1063	17	2	resent	resent	NOUN
ejpam-1063	17	3	years	year	NOUN
ejpam-1063	17	4	,	,	PUNCT
ejpam-1063	17	5	much	much	ADJ
ejpam-1063	17	6	research	research	NOUN
ejpam-1063	17	7	has	have	AUX
ejpam-1063	17	8	been	be	AUX
ejpam-1063	17	9	focused	focus	VERB
ejpam-1063	17	10	on	on	ADP
ejpam-1063	17	11	the	the	DET
ejpam-1063	17	12	numerical	numerical	ADJ
ejpam-1063	17	13	solution	solution	NOUN
ejpam-1063	17	14	of	of	ADP
ejpam-1063	17	15	partial	partial	ADJ
ejpam-1063	17	16	differential	differential	NOUN
ejpam-1063	17	17	-	-	PUNCT
ejpam-1063	17	18	algebraic	algebraic	ADJ
ejpam-1063	17	19	equations(pdaes	equations(pdaes	PROPN
ejpam-1063	17	20	)	)	PUNCT
ejpam-1063	17	21	.	.	PUNCT
ejpam-1063	18	1	some	some	DET
ejpam-1063	18	2	numerical	numerical	ADJ
ejpam-1063	18	3	methods	method	NOUN
ejpam-1063	18	4	have	have	AUX
ejpam-1063	18	5	been	be	AUX
ejpam-1063	18	6	developed	develop	VERB
ejpam-1063	18	7	,	,	PUNCT
ejpam-1063	18	8	using	use	VERB
ejpam-1063	18	9	runge	runge	NOUN
ejpam-1063	18	10	-	-	PUNCT
ejpam-1063	18	11	kutta	kutta	NOUN
ejpam-1063	18	12	methods	method	NOUN
ejpam-1063	18	13	[	[	X
ejpam-1063	18	14	8	8	NUM
ejpam-1063	18	15	]	]	PUNCT
ejpam-1063	18	16	.	.	PUNCT
ejpam-1063	19	1	∗corresponding	∗corresponde	VERB
ejpam-1063	19	2	author	author	NOUN
ejpam-1063	19	3	.	.	PUNCT
ejpam-1063	20	1	email	email	NOUN
ejpam-1063	20	2	addresses	address	NOUN
ejpam-1063	20	3	:	:	PUNCT
ejpam-1063	20	4	er	er	INTJ
ejpam-1063	20	5	elik�atauni.edu.tr	elik�atauni.edu.tr	PROPN
ejpam-1063	20	6	(	(	PUNCT
ejpam-1063	20	7	e.	e.	PROPN
ejpam-1063	20	8	celik	celik	PROPN
ejpam-1063	20	9	)	)	PUNCT
ejpam-1063	20	10	,	,	PUNCT
ejpam-1063	20	11	myigider	myigider	PROPN
ejpam-1063	20	12	�	�	PROPN
ejpam-1063	20	13	erzin	erzin	PROPN
ejpam-1063	20	14	an.edu.tr	an.edu.tr	PROPN
ejpam-1063	20	15	(	(	PUNCT
ejpam-1063	20	16	m.	m.	NOUN
ejpam-1063	20	17	yigider	yigider	PROPN
ejpam-1063	20	18	)	)	PUNCT
ejpam-1063	20	19	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1063	21	1	67	67	NUM
ejpam-1063	22	1	c	c	X
ejpam-1063	22	2	©	©	PROPN
ejpam-1063	22	3	2010	2010	NUM
ejpam-1063	22	4	ejpam	ejpam	NOUN
ejpam-1063	22	5	all	all	DET
ejpam-1063	22	6	rights	right	NOUN
ejpam-1063	22	7	reserved	reserve	VERB
ejpam-1063	22	8	.	.	PUNCT
ejpam-1063	23	1	m.	m.	NOUN
ejpam-1063	23	2	yiğider	yiğider	PROPN
ejpam-1063	23	3	,	,	PUNCT
ejpam-1063	23	4	e.	e.	PROPN
ejpam-1063	23	5	çelik	çelik	PROPN
ejpam-1063	23	6	/	/	SYM
ejpam-1063	23	7	eur	eur	PROPN
ejpam-1063	23	8	.	.	PUNCT
ejpam-1063	24	1	j.	j.	PROPN
ejpam-1063	24	2	pure	pure	PROPN
ejpam-1063	24	3	appl	appl	PROPN
ejpam-1063	24	4	.	.	PROPN
ejpam-1063	24	5	math	math	PROPN
ejpam-1063	24	6	,	,	PUNCT
ejpam-1063	24	7	4	4	NUM
ejpam-1063	24	8	(	(	PUNCT
ejpam-1063	24	9	2011	2011	NUM
ejpam-1063	24	10	)	)	PUNCT
ejpam-1063	24	11	,	,	PUNCT
ejpam-1063	24	12	67	67	NUM
ejpam-1063	24	13	-	-	SYM
ejpam-1063	24	14	75	75	NUM
ejpam-1063	24	15	68	68	NUM
ejpam-1063	24	16	the	the	DET
ejpam-1063	24	17	purpose	purpose	NOUN
ejpam-1063	24	18	of	of	ADP
ejpam-1063	24	19	this	this	DET
ejpam-1063	24	20	paper	paper	NOUN
ejpam-1063	24	21	is	be	AUX
ejpam-1063	24	22	to	to	PART
ejpam-1063	24	23	consider	consider	VERB
ejpam-1063	24	24	the	the	DET
ejpam-1063	24	25	numerical	numerical	ADJ
ejpam-1063	24	26	solution	solution	NOUN
ejpam-1063	24	27	of	of	ADP
ejpam-1063	24	28	partial	partial	ADJ
ejpam-1063	24	29	differentialalgebraic	differentialalgebraic	ADJ
ejpam-1063	24	30	equations(pdaes	equations(pdae	NOUN
ejpam-1063	24	31	)	)	PUNCT
ejpam-1063	24	32	by	by	ADP
ejpam-1063	24	33	using	use	VERB
ejpam-1063	24	34	multivariate	multivariate	NOUN
ejpam-1063	24	35	padé	padé	NOUN
ejpam-1063	24	36	approximations	approximation	NOUN
ejpam-1063	24	37	.	.	PUNCT
ejpam-1063	25	1	2	2	X
ejpam-1063	25	2	.	.	X
ejpam-1063	25	3	two	two	NUM
ejpam-1063	25	4	-	-	PUNCT
ejpam-1063	25	5	dimensional	dimensional	ADJ
ejpam-1063	25	6	differential	differential	ADJ
ejpam-1063	25	7	transformation	transformation	NOUN
ejpam-1063	25	8	the	the	DET
ejpam-1063	25	9	basic	basic	ADJ
ejpam-1063	25	10	definition	definition	NOUN
ejpam-1063	25	11	of	of	ADP
ejpam-1063	25	12	the	the	DET
ejpam-1063	25	13	two	two	NUM
ejpam-1063	25	14	-	-	PUNCT
ejpam-1063	25	15	dimensional	dimensional	ADJ
ejpam-1063	25	16	differential	differential	ADJ
ejpam-1063	25	17	transform	transform	NOUN
ejpam-1063	25	18	is	be	AUX
ejpam-1063	25	19	defined	define	VERB
ejpam-1063	25	20	as	as	SCONJ
ejpam-1063	25	21	follows	follow	VERB
ejpam-1063	25	22	[	[	X
ejpam-1063	25	23	9	9	NUM
ejpam-1063	25	24	,	,	PUNCT
ejpam-1063	25	25	2	2	NUM
ejpam-1063	25	26	,	,	PUNCT
ejpam-1063	25	27	3	3	NUM
ejpam-1063	25	28	,	,	PUNCT
ejpam-1063	25	29	4	4	NUM
ejpam-1063	25	30	,	,	PUNCT
ejpam-1063	25	31	1	1	NUM
ejpam-1063	25	32	]	]	PUNCT
ejpam-1063	25	33	:	:	PUNCT
ejpam-1063	25	34	w	w	X
ejpam-1063	25	35	(	(	PUNCT
ejpam-1063	25	36	k	k	NOUN
ejpam-1063	25	37	,	,	PUNCT
ejpam-1063	25	38	h	h	NOUN
ejpam-1063	25	39	)	)	PUNCT
ejpam-1063	25	40	=	=	SYM
ejpam-1063	26	1	1	1	NUM
ejpam-1063	26	2	k!h	k!h	PROPN
ejpam-1063	26	3	!	!	PUNCT
ejpam-1063	26	4	�	�	PROPN
ejpam-1063	26	5	∂	∂	NUM
ejpam-1063	26	6	k+hw(x	k+hw(x	PROPN
ejpam-1063	26	7	,	,	PUNCT
ejpam-1063	26	8	y	y	PROPN
ejpam-1063	26	9	)	)	PUNCT
ejpam-1063	26	10	∂	∂	NUM
ejpam-1063	26	11	x	x	SYM
ejpam-1063	26	12	k∂	k∂	PROPN
ejpam-1063	26	13	yh	yh	PROPN
ejpam-1063	26	14	�	�	PROPN
ejpam-1063	26	15	0,0	0,0	NOUN
ejpam-1063	26	16	(	(	PUNCT
ejpam-1063	26	17	2	2	NUM
ejpam-1063	26	18	)	)	PUNCT
ejpam-1063	26	19	where	where	SCONJ
ejpam-1063	26	20	w(x	w(x	NOUN
ejpam-1063	26	21	,	,	PUNCT
ejpam-1063	26	22	y	y	PROPN
ejpam-1063	26	23	)	)	PUNCT
ejpam-1063	26	24	is	be	AUX
ejpam-1063	26	25	the	the	DET
ejpam-1063	26	26	original	original	ADJ
ejpam-1063	26	27	function	function	NOUN
ejpam-1063	26	28	and	and	CCONJ
ejpam-1063	26	29	w	w	PROPN
ejpam-1063	26	30	(	(	PUNCT
ejpam-1063	26	31	k	k	NOUN
ejpam-1063	26	32	,	,	PUNCT
ejpam-1063	26	33	h	h	NOUN
ejpam-1063	26	34	)	)	PUNCT
ejpam-1063	26	35	is	be	AUX
ejpam-1063	26	36	the	the	DET
ejpam-1063	26	37	transformed	transform	VERB
ejpam-1063	26	38	function	function	NOUN
ejpam-1063	26	39	.	.	PUNCT
ejpam-1063	27	1	the	the	DET
ejpam-1063	27	2	transformation	transformation	NOUN
ejpam-1063	27	3	is	be	AUX
ejpam-1063	27	4	called	call	VERB
ejpam-1063	27	5	t	t	NOUN
ejpam-1063	27	6	function	function	NOUN
ejpam-1063	27	7	and	and	CCONJ
ejpam-1063	27	8	lower	low	ADJ
ejpam-1063	27	9	case	case	NOUN
ejpam-1063	27	10	and	and	CCONJ
ejpam-1063	27	11	upper	upper	ADJ
ejpam-1063	27	12	case	case	NOUN
ejpam-1063	27	13	letters	letter	NOUN
ejpam-1063	27	14	represent	represent	VERB
ejpam-1063	27	15	the	the	DET
ejpam-1063	27	16	original	original	ADJ
ejpam-1063	27	17	and	and	CCONJ
ejpam-1063	27	18	transformed	transform	VERB
ejpam-1063	27	19	functions	function	NOUN
ejpam-1063	27	20	respectively	respectively	ADV
ejpam-1063	27	21	.	.	PUNCT
ejpam-1063	28	1	the	the	DET
ejpam-1063	28	2	differential	differential	ADJ
ejpam-1063	28	3	inverse	inverse	NOUN
ejpam-1063	28	4	transform	transform	NOUN
ejpam-1063	28	5	of	of	ADP
ejpam-1063	28	6	w	w	PROPN
ejpam-1063	28	7	(	(	PUNCT
ejpam-1063	28	8	k	k	NOUN
ejpam-1063	28	9	,	,	PUNCT
ejpam-1063	28	10	h	h	NOUN
ejpam-1063	28	11	)	)	PUNCT
ejpam-1063	28	12	is	be	AUX
ejpam-1063	28	13	defined	define	VERB
ejpam-1063	28	14	as	as	ADP
ejpam-1063	28	15	w(x	w(x	PROPN
ejpam-1063	28	16	,	,	PUNCT
ejpam-1063	28	17	y	y	NOUN
ejpam-1063	28	18	)	)	PUNCT
ejpam-1063	29	1	=	=	SYM
ejpam-1063	30	1	∞	∞	NUM
ejpam-1063	30	2	∑	∑	PUNCT
ejpam-1063	30	3	k=0	k=0	PROPN
ejpam-1063	30	4	∞	∞	PROPN
ejpam-1063	30	5	∑	∑	PROPN
ejpam-1063	30	6	h=0	h=0	PROPN
ejpam-1063	30	7	w	w	PROPN
ejpam-1063	30	8	(	(	PUNCT
ejpam-1063	30	9	k	k	NOUN
ejpam-1063	30	10	,	,	PUNCT
ejpam-1063	30	11	h)x	h)x	X
ejpam-1063	30	12	k	k	X
ejpam-1063	30	13	yh	yh	PROPN
ejpam-1063	30	14	(	(	PUNCT
ejpam-1063	30	15	3	3	NUM
ejpam-1063	30	16	)	)	PUNCT
ejpam-1063	30	17	and	and	CCONJ
ejpam-1063	30	18	from	from	ADP
ejpam-1063	30	19	eqs.(2	eqs.(2	PROPN
ejpam-1063	30	20	)	)	PUNCT
ejpam-1063	30	21	and	and	CCONJ
ejpam-1063	30	22	(	(	PUNCT
ejpam-1063	30	23	3	3	X
ejpam-1063	30	24	)	)	PUNCT
ejpam-1063	30	25	can	can	AUX
ejpam-1063	30	26	be	be	AUX
ejpam-1063	30	27	concluded	conclude	VERB
ejpam-1063	30	28	w(x	w(x	PROPN
ejpam-1063	30	29	,	,	PUNCT
ejpam-1063	30	30	y	y	NOUN
ejpam-1063	30	31	)	)	PUNCT
ejpam-1063	30	32	=	=	SYM
ejpam-1063	31	1	∞	∞	NUM
ejpam-1063	31	2	∑	∑	PUNCT
ejpam-1063	31	3	k=0	k=0	PROPN
ejpam-1063	31	4	∞	∞	PROPN
ejpam-1063	31	5	∑	∑	PROPN
ejpam-1063	31	6	h=0	h=0	PROPN
ejpam-1063	31	7	1	1	NUM
ejpam-1063	31	8	k!h	k!h	PROPN
ejpam-1063	31	9	!	!	PUNCT
ejpam-1063	31	10	�	�	PROPN
ejpam-1063	31	11	∂	∂	NUM
ejpam-1063	31	12	k+hw(x	k+hw(x	PROPN
ejpam-1063	31	13	,	,	PUNCT
ejpam-1063	31	14	y	y	PROPN
ejpam-1063	31	15	)	)	PUNCT
ejpam-1063	31	16	∂	∂	NUM
ejpam-1063	31	17	x	x	SYM
ejpam-1063	31	18	k∂	k∂	PROPN
ejpam-1063	31	19	yh	yh	PROPN
ejpam-1063	31	20	�	�	PROPN
ejpam-1063	31	21	0,0	0,0	NUM
ejpam-1063	31	22	x	x	PUNCT
ejpam-1063	31	23	k	k	NOUN
ejpam-1063	31	24	yh	yh	PROPN
ejpam-1063	31	25	.	.	PROPN
ejpam-1063	32	1	(	(	PUNCT
ejpam-1063	32	2	4	4	NUM
ejpam-1063	32	3	)	)	SYM
ejpam-1063	32	4	3	3	NUM
ejpam-1063	32	5	.	.	X
ejpam-1063	32	6	multivariate	multivariate	NOUN
ejpam-1063	32	7	padé	padé	NOUN
ejpam-1063	32	8	approximations	approximation	NOUN
ejpam-1063	32	9	consider	consider	VERB
ejpam-1063	32	10	the	the	DET
ejpam-1063	32	11	bivariate	bivariate	ADJ
ejpam-1063	32	12	function	function	NOUN
ejpam-1063	32	13	f	f	PROPN
ejpam-1063	32	14	(	(	PUNCT
ejpam-1063	32	15	x	x	PROPN
ejpam-1063	32	16	,	,	PUNCT
ejpam-1063	32	17	y	y	PROPN
ejpam-1063	32	18	)	)	PUNCT
ejpam-1063	32	19	with	with	ADP
ejpam-1063	32	20	taylor	taylor	PROPN
ejpam-1063	32	21	series	series	PROPN
ejpam-1063	32	22	development	development	PROPN
ejpam-1063	32	23	f	f	PROPN
ejpam-1063	32	24	(	(	PUNCT
ejpam-1063	32	25	x	x	PROPN
ejpam-1063	32	26	,	,	PUNCT
ejpam-1063	32	27	y	y	PROPN
ejpam-1063	32	28	)	)	PUNCT
ejpam-1063	32	29	=	=	SYM
ejpam-1063	33	1	∞	∞	NUM
ejpam-1063	33	2	∑	∑	PROPN
ejpam-1063	33	3	i	i	PROPN
ejpam-1063	33	4	,	,	PUNCT
ejpam-1063	33	5	j=0	j=0	PROPN
ejpam-1063	33	6	ci	ci	PROPN
ejpam-1063	34	1	j	j	PROPN
ejpam-1063	34	2	x	x	INTJ
ejpam-1063	35	1	i	i	PRON
ejpam-1063	35	2	y	y	PROPN
ejpam-1063	35	3	j	j	PROPN
ejpam-1063	35	4	(	(	PUNCT
ejpam-1063	35	5	5	5	NUM
ejpam-1063	35	6	)	)	PUNCT
ejpam-1063	35	7	around	around	ADP
ejpam-1063	35	8	the	the	DET
ejpam-1063	35	9	origin	origin	NOUN
ejpam-1063	35	10	.	.	PUNCT
ejpam-1063	36	1	we	we	PRON
ejpam-1063	36	2	know	know	VERB
ejpam-1063	36	3	that	that	SCONJ
ejpam-1063	36	4	a	a	DET
ejpam-1063	36	5	solution	solution	NOUN
ejpam-1063	36	6	of	of	ADP
ejpam-1063	36	7	univariate	univariate	ADJ
ejpam-1063	36	8	padé	padé	NOUN
ejpam-1063	36	9	approximation	approximation	NOUN
ejpam-1063	36	10	problem	problem	NOUN
ejpam-1063	36	11	for	for	ADP
ejpam-1063	36	12	f	f	PROPN
ejpam-1063	36	13	(	(	PUNCT
ejpam-1063	36	14	x	x	NOUN
ejpam-1063	36	15	)	)	PUNCT
ejpam-1063	36	16	=	=	SYM
ejpam-1063	37	1	∞	∞	NUM
ejpam-1063	37	2	∑	∑	PUNCT
ejpam-1063	37	3	i=0	i=0	PROPN
ejpam-1063	37	4	ci	ci	NOUN
ejpam-1063	37	5	x	x	PUNCT
ejpam-1063	37	6	i	i	NOUN
ejpam-1063	37	7	(	(	PUNCT
ejpam-1063	37	8	6	6	NUM
ejpam-1063	37	9	)	)	PUNCT
ejpam-1063	37	10	is	be	AUX
ejpam-1063	37	11	given	give	VERB
ejpam-1063	37	12	by	by	ADP
ejpam-1063	37	13	p(x	p(x	NOUN
ejpam-1063	37	14	)	)	PUNCT
ejpam-1063	37	15	=	=	SYM
ejpam-1063	37	16	�	�	PROPN
ejpam-1063	37	17	�	�	PROPN
ejpam-1063	37	18	�	�	PROPN
ejpam-1063	37	19	�	�	PROPN
ejpam-1063	37	20	�	�	PROPN
ejpam-1063	37	21	�	�	PROPN
ejpam-1063	37	22	�	�	PROPN
ejpam-1063	37	23	�	�	PROPN
ejpam-1063	37	24	�	�	PROPN
ejpam-1063	37	25	∑m	∑m	PROPN
ejpam-1063	37	26	i=0	i=0	PROPN
ejpam-1063	37	27	ci	ci	PROPN
ejpam-1063	37	28	x	x	PUNCT
ejpam-1063	37	29	i	i	NOUN
ejpam-1063	37	30	x	x	SYM
ejpam-1063	37	31	∑m−1	∑m−1	ADJ
ejpam-1063	37	32	i=0	i=0	PROPN
ejpam-1063	37	33	ci	ci	PROPN
ejpam-1063	37	34	x	x	PUNCT
ejpam-1063	37	35	i	i	NOUN
ejpam-1063	37	36	·	·	PUNCT
ejpam-1063	37	37	·	·	PUNCT
ejpam-1063	37	38	·	·	PUNCT
ejpam-1063	37	39	xn	xn	PUNCT
ejpam-1063	38	1	∑m−n	∑m−n	PROPN
ejpam-1063	38	2	i=0	i=0	PROPN
ejpam-1063	38	3	ci	ci	NOUN
ejpam-1063	38	4	x	x	PUNCT
ejpam-1063	38	5	i	i	PRON
ejpam-1063	38	6	cm+1	cm+1	VERB
ejpam-1063	38	7	cm	cm	NOUN
ejpam-1063	38	8	·	·	PUNCT
ejpam-1063	38	9	·	·	PUNCT
ejpam-1063	38	10	·	·	PUNCT
ejpam-1063	38	11	cm+1−n	cm+1−n	X
ejpam-1063	38	12	...	...	PUNCT
ejpam-1063	38	13	...	...	PUNCT
ejpam-1063	38	14	.	.	PUNCT
ejpam-1063	38	15	.	.	PUNCT
ejpam-1063	38	16	.	.	PUNCT
ejpam-1063	39	1	...	...	PUNCT
ejpam-1063	40	1	cm+n	cm+n	PROPN
ejpam-1063	40	2	cm+n−1	cm+n−1	PROPN
ejpam-1063	40	3	·	·	PUNCT
ejpam-1063	40	4	·	·	PUNCT
ejpam-1063	40	5	·	·	PUNCT
ejpam-1063	40	6	cm	cm	X
ejpam-1063	40	7	�	�	PROPN
ejpam-1063	40	8	�	�	PROPN
ejpam-1063	40	9	�	�	PROPN
ejpam-1063	40	10	�	�	PROPN
ejpam-1063	40	11	�	�	PROPN
ejpam-1063	40	12	�	�	PROPN
ejpam-1063	40	13	�	�	PROPN
ejpam-1063	40	14	�	�	PROPN
ejpam-1063	40	15	�	�	PROPN
ejpam-1063	40	16	(	(	PUNCT
ejpam-1063	40	17	7	7	NUM
ejpam-1063	40	18	)	)	PUNCT
ejpam-1063	40	19	and	and	CCONJ
ejpam-1063	40	20	q(x	q(x	PROPN
ejpam-1063	40	21	)	)	PUNCT
ejpam-1063	40	22	=	=	PUNCT
ejpam-1063	40	23	�	�	PROPN
ejpam-1063	40	24	�	�	PROPN
ejpam-1063	40	25	�	�	PROPN
ejpam-1063	40	26	�	�	PROPN
ejpam-1063	40	27	�	�	PROPN
ejpam-1063	40	28	�	�	PROPN
ejpam-1063	40	29	�	�	PROPN
ejpam-1063	40	30	�	�	PROPN
ejpam-1063	40	31	�	�	PROPN
ejpam-1063	40	32	1	1	NUM
ejpam-1063	40	33	x	x	SYM
ejpam-1063	40	34	·	·	PUNCT
ejpam-1063	40	35	·	·	PUNCT
ejpam-1063	40	36	·	·	PUNCT
ejpam-1063	40	37	xn	xn	PUNCT
ejpam-1063	41	1	cm+1	cm+1	PRON
ejpam-1063	41	2	cm	cm	NOUN
ejpam-1063	41	3	·	·	PUNCT
ejpam-1063	41	4	·	·	PUNCT
ejpam-1063	41	5	·	·	PUNCT
ejpam-1063	41	6	cm+1−n	cm+1−n	X
ejpam-1063	41	7	...	...	PUNCT
ejpam-1063	41	8	...	...	PUNCT
ejpam-1063	41	9	.	.	PUNCT
ejpam-1063	41	10	.	.	PUNCT
ejpam-1063	41	11	.	.	PUNCT
ejpam-1063	42	1	...	...	PUNCT
ejpam-1063	43	1	cm+n	cm+n	PROPN
ejpam-1063	43	2	cm+n−1	cm+n−1	PROPN
ejpam-1063	43	3	·	·	PUNCT
ejpam-1063	43	4	·	·	PUNCT
ejpam-1063	43	5	·	·	PUNCT
ejpam-1063	43	6	cm	cm	X
ejpam-1063	43	7	�	�	PROPN
ejpam-1063	43	8	�	�	PROPN
ejpam-1063	43	9	�	�	PROPN
ejpam-1063	43	10	�	�	PROPN
ejpam-1063	43	11	�	�	PROPN
ejpam-1063	43	12	�	�	PROPN
ejpam-1063	43	13	�	�	PROPN
ejpam-1063	43	14	�	�	PROPN
ejpam-1063	43	15	�	�	PROPN
ejpam-1063	43	16	(	(	PUNCT
ejpam-1063	43	17	8)	8)	NUM
ejpam-1063	43	18	m.	m.	NOUN
ejpam-1063	43	19	yiğider	yiğider	NOUN
ejpam-1063	43	20	,	,	PUNCT
ejpam-1063	43	21	e.	e.	PROPN
ejpam-1063	43	22	çelik	çelik	PROPN
ejpam-1063	43	23	/	/	SYM
ejpam-1063	43	24	eur	eur	PROPN
ejpam-1063	43	25	.	.	PUNCT
ejpam-1063	44	1	j.	j.	PROPN
ejpam-1063	44	2	pure	pure	PROPN
ejpam-1063	44	3	appl	appl	PROPN
ejpam-1063	44	4	.	.	PROPN
ejpam-1063	44	5	math	math	PROPN
ejpam-1063	44	6	,	,	PUNCT
ejpam-1063	44	7	4	4	NUM
ejpam-1063	44	8	(	(	PUNCT
ejpam-1063	44	9	2011	2011	NUM
ejpam-1063	44	10	)	)	PUNCT
ejpam-1063	44	11	,	,	PUNCT
ejpam-1063	44	12	67	67	NUM
ejpam-1063	44	13	-	-	SYM
ejpam-1063	44	14	75	75	NUM
ejpam-1063	44	15	69	69	NUM
ejpam-1063	44	16	let	let	VERB
ejpam-1063	44	17	us	we	PRON
ejpam-1063	44	18	now	now	ADV
ejpam-1063	44	19	multiply	multiply	VERB
ejpam-1063	44	20	jth	jth	PROPN
ejpam-1063	44	21	row	row	NOUN
ejpam-1063	44	22	in	in	ADP
ejpam-1063	44	23	p(x	p(x	NOUN
ejpam-1063	44	24	)	)	PUNCT
ejpam-1063	44	25	and	and	CCONJ
ejpam-1063	44	26	q(x	q(x	NOUN
ejpam-1063	44	27	)	)	PUNCT
ejpam-1063	44	28	by	by	ADP
ejpam-1063	44	29	x	x	SYM
ejpam-1063	44	30	j+m−1	j+m−1	PROPN
ejpam-1063	44	31	(	(	PUNCT
ejpam-1063	44	32	j	j	PROPN
ejpam-1063	44	33	=	=	SYM
ejpam-1063	44	34	2	2	NUM
ejpam-1063	44	35	,	,	PUNCT
ejpam-1063	44	36	.	.	PUNCT
ejpam-1063	44	37	.	.	PUNCT
ejpam-1063	44	38	.	.	PUNCT
ejpam-1063	45	1	,	,	PUNCT
ejpam-1063	45	2	n+	n+	ADP
ejpam-1063	45	3	1	1	X
ejpam-1063	45	4	)	)	PUNCT
ejpam-1063	45	5	and	and	CCONJ
ejpam-1063	45	6	afterwards	afterwards	ADV
ejpam-1063	45	7	divide	divide	VERB
ejpam-1063	45	8	jth	jth	PROPN
ejpam-1063	45	9	column	column	NOUN
ejpam-1063	45	10	in	in	ADP
ejpam-1063	45	11	p(x	p(x	PROPN
ejpam-1063	45	12	)	)	PUNCT
ejpam-1063	45	13	and	and	CCONJ
ejpam-1063	45	14	q(x	q(x	NOUN
ejpam-1063	45	15	)	)	PUNCT
ejpam-1063	45	16	by	by	ADP
ejpam-1063	45	17	x	x	PROPN
ejpam-1063	45	18	j−1	j−1	PROPN
ejpam-1063	45	19	(	(	PUNCT
ejpam-1063	45	20	j	j	NOUN
ejpam-1063	45	21	=	=	SYM
ejpam-1063	45	22	2	2	NUM
ejpam-1063	45	23	,	,	PUNCT
ejpam-1063	45	24	.	.	PUNCT
ejpam-1063	45	25	.	.	PUNCT
ejpam-1063	45	26	.	.	PUNCT
ejpam-1063	46	1	,	,	PUNCT
ejpam-1063	46	2	n+	n+	ADP
ejpam-1063	46	3	1	1	NUM
ejpam-1063	46	4	)	)	PUNCT
ejpam-1063	46	5	.	.	PUNCT
ejpam-1063	47	1	this	this	PRON
ejpam-1063	47	2	results	result	VERB
ejpam-1063	47	3	in	in	ADP
ejpam-1063	47	4	a	a	DET
ejpam-1063	47	5	multiplication	multiplication	NOUN
ejpam-1063	47	6	of	of	ADP
ejpam-1063	47	7	numerator	numerator	NOUN
ejpam-1063	47	8	and	and	CCONJ
ejpam-1063	47	9	denominator	denominator	NOUN
ejpam-1063	47	10	by	by	ADP
ejpam-1063	47	11	xmn	xmn	PROPN
ejpam-1063	47	12	.	.	PUNCT
ejpam-1063	48	1	having	having	AUX
ejpam-1063	48	2	done	do	VERB
ejpam-1063	48	3	so	so	ADV
ejpam-1063	48	4	,	,	PUNCT
ejpam-1063	48	5	we	we	PRON
ejpam-1063	48	6	get	get	VERB
ejpam-1063	48	7	p(x	p(x	NOUN
ejpam-1063	48	8	)	)	PUNCT
ejpam-1063	48	9	q(x	q(x	PROPN
ejpam-1063	48	10	)	)	PUNCT
ejpam-1063	48	11	=	=	SYM
ejpam-1063	48	12	�	�	PROPN
ejpam-1063	48	13	�	�	PROPN
ejpam-1063	48	14	�	�	PROPN
ejpam-1063	48	15	�	�	PROPN
ejpam-1063	48	16	�	�	PROPN
ejpam-1063	48	17	�	�	PROPN
ejpam-1063	48	18	�	�	PROPN
ejpam-1063	48	19	�	�	PROPN
ejpam-1063	48	20	�	�	PROPN
ejpam-1063	48	21	∑m	∑m	PROPN
ejpam-1063	48	22	i=0	i=0	PROPN
ejpam-1063	48	23	ci	ci	PROPN
ejpam-1063	48	24	x	x	PUNCT
ejpam-1063	49	1	i	i	PRON
ejpam-1063	49	2	∑m−1	∑m−1	VERB
ejpam-1063	49	3	i=0	i=0	PROPN
ejpam-1063	49	4	ci	ci	PROPN
ejpam-1063	49	5	x	x	PUNCT
ejpam-1063	49	6	i	i	NOUN
ejpam-1063	49	7	·	·	PUNCT
ejpam-1063	49	8	·	·	PUNCT
ejpam-1063	49	9	·	·	PUNCT
ejpam-1063	50	1	∑m−n	∑m−n	PUNCT
ejpam-1063	50	2	i=0	i=0	PROPN
ejpam-1063	50	3	ci	ci	NOUN
ejpam-1063	50	4	x	x	PUNCT
ejpam-1063	50	5	i	i	PRON
ejpam-1063	50	6	cm+1	cm+1	VERB
ejpam-1063	50	7	xm+1	xm+1	PROPN
ejpam-1063	50	8	cm	cm	NOUN
ejpam-1063	50	9	xm	xm	PROPN
ejpam-1063	50	10	·	·	PUNCT
ejpam-1063	50	11	·	·	PUNCT
ejpam-1063	50	12	·	·	PUNCT
ejpam-1063	50	13	cm+1−n	cm+1−n	X
ejpam-1063	50	14	xm+1−n	xm+1−n	NOUN
ejpam-1063	50	15	...	...	PUNCT
ejpam-1063	50	16	...	...	PUNCT
ejpam-1063	50	17	.	.	PUNCT
ejpam-1063	50	18	.	.	PUNCT
ejpam-1063	50	19	.	.	PUNCT
ejpam-1063	51	1	...	...	PUNCT
ejpam-1063	52	1	cm+n	cm+n	PROPN
ejpam-1063	52	2	xm+n	xm+n	PROPN
ejpam-1063	52	3	cm+n−1	cm+n−1	PROPN
ejpam-1063	52	4	xm+n−1	xm+n−1	PROPN
ejpam-1063	52	5	·	·	PUNCT
ejpam-1063	52	6	·	·	PUNCT
ejpam-1063	52	7	·	·	PUNCT
ejpam-1063	53	1	cm	cm	X
ejpam-1063	53	2	xm	xm	PROPN
ejpam-1063	53	3	�	�	PROPN
ejpam-1063	53	4	�	�	PROPN
ejpam-1063	53	5	�	�	PROPN
ejpam-1063	53	6	�	�	PROPN
ejpam-1063	53	7	�	�	PROPN
ejpam-1063	53	8	�	�	PROPN
ejpam-1063	53	9	�	�	PROPN
ejpam-1063	53	10	�	�	PROPN
ejpam-1063	53	11	�	�	PROPN
ejpam-1063	53	12	�	�	PROPN
ejpam-1063	53	13	�	�	PROPN
ejpam-1063	53	14	�	�	PROPN
ejpam-1063	53	15	�	�	PROPN
ejpam-1063	53	16	�	�	PROPN
ejpam-1063	53	17	�	�	PROPN
ejpam-1063	53	18	�	�	PROPN
ejpam-1063	53	19	�	�	PROPN
ejpam-1063	53	20	�	�	PROPN
ejpam-1063	53	21	1	1	NUM
ejpam-1063	53	22	1	1	NUM
ejpam-1063	53	23	·	·	PUNCT
ejpam-1063	53	24	·	·	PUNCT
ejpam-1063	53	25	·	·	PUNCT
ejpam-1063	53	26	1	1	NUM
ejpam-1063	53	27	cm+1	cm+1	NUM
ejpam-1063	53	28	xm+1	xm+1	NUM
ejpam-1063	53	29	cm	cm	NOUN
ejpam-1063	53	30	xm	xm	PROPN
ejpam-1063	53	31	·	·	PUNCT
ejpam-1063	53	32	·	·	PUNCT
ejpam-1063	53	33	·	·	PUNCT
ejpam-1063	53	34	cm+1−n	cm+1−n	X
ejpam-1063	53	35	xm+1−n	xm+1−n	NOUN
ejpam-1063	53	36	...	...	PUNCT
ejpam-1063	53	37	...	...	PUNCT
ejpam-1063	53	38	.	.	PUNCT
ejpam-1063	53	39	.	.	PUNCT
ejpam-1063	53	40	.	.	PUNCT
ejpam-1063	53	41	...	...	PUNCT
ejpam-1063	54	1	cm+n	cm+n	PROPN
ejpam-1063	54	2	xm+n	xm+n	PROPN
ejpam-1063	54	3	cm+n−1	cm+n−1	PROPN
ejpam-1063	54	4	xm+n−1	xm+n−1	PROPN
ejpam-1063	54	5	·	·	PUNCT
ejpam-1063	54	6	·	·	PUNCT
ejpam-1063	54	7	·	·	PUNCT
ejpam-1063	54	8	cm	cm	X
ejpam-1063	54	9	xm	xm	PROPN
ejpam-1063	54	10	�	�	PROPN
ejpam-1063	54	11	�	�	PROPN
ejpam-1063	54	12	�	�	PROPN
ejpam-1063	54	13	�	�	PROPN
ejpam-1063	54	14	�	�	PROPN
ejpam-1063	54	15	�	�	PROPN
ejpam-1063	54	16	�	�	PROPN
ejpam-1063	54	17	�	�	PROPN
ejpam-1063	54	18	�	�	PROPN
ejpam-1063	54	19	(	(	PUNCT
ejpam-1063	54	20	9	9	NUM
ejpam-1063	54	21	)	)	PUNCT
ejpam-1063	54	22	(	(	PUNCT
ejpam-1063	54	23	d	d	X
ejpam-1063	54	24	=	=	SYM
ejpam-1063	54	25	det	det	PROPN
ejpam-1063	54	26	dm	dm	PROPN
ejpam-1063	54	27	,	,	PUNCT
ejpam-1063	54	28	n	n	PROPN
ejpam-1063	54	29	6=	6=	PROPN
ejpam-1063	54	30	0	0	NUM
ejpam-1063	54	31	)	)	PUNCT
ejpam-1063	54	32	.	.	PUNCT
ejpam-1063	55	1	this	this	DET
ejpam-1063	55	2	quotient	quotient	NOUN
ejpam-1063	55	3	of	of	ADP
ejpam-1063	55	4	determinants	determinant	NOUN
ejpam-1063	55	5	can	can	AUX
ejpam-1063	55	6	also	also	ADV
ejpam-1063	55	7	immediately	immediately	ADV
ejpam-1063	55	8	be	be	AUX
ejpam-1063	55	9	written	write	VERB
ejpam-1063	55	10	down	down	ADP
ejpam-1063	55	11	for	for	ADP
ejpam-1063	55	12	a	a	DET
ejpam-1063	55	13	bivariate	bivariate	ADJ
ejpam-1063	55	14	function	function	NOUN
ejpam-1063	55	15	f	f	PROPN
ejpam-1063	55	16	(	(	PUNCT
ejpam-1063	55	17	x	x	PROPN
ejpam-1063	55	18	,	,	PUNCT
ejpam-1063	55	19	y	y	PROPN
ejpam-1063	55	20	)	)	PUNCT
ejpam-1063	55	21	.	.	PUNCT
ejpam-1063	56	1	the	the	DET
ejpam-1063	56	2	sum	sum	NOUN
ejpam-1063	56	3	∑k	∑k	PROPN
ejpam-1063	56	4	i=0	i=0	PROPN
ejpam-1063	56	5	ci	ci	PROPN
ejpam-1063	57	1	x	x	PUNCT
ejpam-1063	57	2	i	i	PRON
ejpam-1063	57	3	shall	shall	AUX
ejpam-1063	57	4	be	be	AUX
ejpam-1063	57	5	replaced	replace	VERB
ejpam-1063	57	6	kth	kth	PROPN
ejpam-1063	57	7	partial	partial	ADJ
ejpam-1063	57	8	sum	sum	NOUN
ejpam-1063	57	9	of	of	ADP
ejpam-1063	57	10	the	the	DET
ejpam-1063	57	11	taylor	taylor	PROPN
ejpam-1063	57	12	series	series	PROPN
ejpam-1063	57	13	development	development	PROPN
ejpam-1063	57	14	of	of	ADP
ejpam-1063	57	15	f	f	PROPN
ejpam-1063	57	16	(	(	PUNCT
ejpam-1063	57	17	x	x	PROPN
ejpam-1063	57	18	,	,	PUNCT
ejpam-1063	57	19	y	y	PROPN
ejpam-1063	57	20	)	)	PUNCT
ejpam-1063	57	21	and	and	CCONJ
ejpam-1063	57	22	the	the	DET
ejpam-1063	57	23	expression	expression	NOUN
ejpam-1063	57	24	ck	ck	INTJ
ejpam-1063	57	25	x	x	X
ejpam-1063	57	26	k	k	NOUN
ejpam-1063	57	27	by	by	ADP
ejpam-1063	57	28	an	an	DET
ejpam-1063	57	29	expression	expression	NOUN
ejpam-1063	57	30	that	that	PRON
ejpam-1063	57	31	contains	contain	VERB
ejpam-1063	57	32	all	all	DET
ejpam-1063	57	33	the	the	DET
ejpam-1063	57	34	terms	term	NOUN
ejpam-1063	57	35	of	of	ADP
ejpam-1063	57	36	degree	degree	NOUN
ejpam-1063	57	37	k	k	PROPN
ejpam-1063	57	38	in	in	ADP
ejpam-1063	57	39	f	f	PROPN
ejpam-1063	57	40	(	(	PUNCT
ejpam-1063	57	41	x	x	PROPN
ejpam-1063	57	42	,	,	PUNCT
ejpam-1063	57	43	y	y	PROPN
ejpam-1063	57	44	)	)	PUNCT
ejpam-1063	57	45	.	.	PUNCT
ejpam-1063	58	1	here	here	ADV
ejpam-1063	58	2	a	a	DET
ejpam-1063	58	3	bivariate	bivariate	ADJ
ejpam-1063	58	4	term	term	NOUN
ejpam-1063	58	5	ci	ci	PROPN
ejpam-1063	58	6	j	j	PROPN
ejpam-1063	59	1	x	x	INTJ
ejpam-1063	59	2	i	i	PRON
ejpam-1063	59	3	y	y	PROPN
ejpam-1063	59	4	j	j	PROPN
ejpam-1063	59	5	is	be	AUX
ejpam-1063	59	6	said	say	VERB
ejpam-1063	59	7	to	to	PART
ejpam-1063	59	8	be	be	AUX
ejpam-1063	59	9	of	of	ADP
ejpam-1063	59	10	degree	degree	NOUN
ejpam-1063	59	11	i	i	PRON
ejpam-1063	60	1	+	+	CCONJ
ejpam-1063	60	2	j.	j.	PROPN
ejpam-1063	60	3	if	if	SCONJ
ejpam-1063	60	4	we	we	PRON
ejpam-1063	60	5	define	define	VERB
ejpam-1063	60	6	p(x	p(x	PROPN
ejpam-1063	60	7	,	,	PUNCT
ejpam-1063	60	8	y	y	NOUN
ejpam-1063	60	9	)	)	PUNCT
ejpam-1063	60	10	=	=	SYM
ejpam-1063	60	11	�	�	PROPN
ejpam-1063	60	12	�	�	PROPN
ejpam-1063	60	13	�	�	PROPN
ejpam-1063	60	14	�	�	PROPN
ejpam-1063	60	15	�	�	PROPN
ejpam-1063	60	16	�	�	PROPN
ejpam-1063	60	17	�	�	PROPN
ejpam-1063	60	18	�	�	PROPN
ejpam-1063	60	19	�	�	PROPN
ejpam-1063	60	20	�	�	PROPN
ejpam-1063	60	21	∑m	∑m	PROPN
ejpam-1063	60	22	i+	i+	PUNCT
ejpam-1063	60	23	j=0	j=0	PROPN
ejpam-1063	61	1	ci	ci	PROPN
ejpam-1063	61	2	j	j	PROPN
ejpam-1063	61	3	x	x	PROPN
ejpam-1063	62	1	i	i	PRON
ejpam-1063	62	2	y	y	PROPN
ejpam-1063	62	3	j	j	PROPN
ejpam-1063	62	4	∑m−1	∑m−1	PROPN
ejpam-1063	62	5	i+	i+	PUNCT
ejpam-1063	62	6	j=0	j=0	PROPN
ejpam-1063	62	7	ci	ci	PROPN
ejpam-1063	62	8	j	j	PROPN
ejpam-1063	62	9	x	x	PROPN
ejpam-1063	63	1	i	i	PRON
ejpam-1063	63	2	y	y	PROPN
ejpam-1063	63	3	j	j	PROPN
ejpam-1063	63	4	·	·	PUNCT
ejpam-1063	63	5	·	·	PUNCT
ejpam-1063	63	6	·	·	PUNCT
ejpam-1063	64	1	∑m−n	∑m−n	PROPN
ejpam-1063	64	2	i+	i+	PUNCT
ejpam-1063	64	3	j=0	j=0	PROPN
ejpam-1063	64	4	ci	ci	PROPN
ejpam-1063	64	5	j	j	PROPN
ejpam-1063	64	6	x	x	PROPN
ejpam-1063	65	1	i	i	PRON
ejpam-1063	65	2	y	y	PROPN
ejpam-1063	65	3	j	j	PROPN
ejpam-1063	65	4	∑	∑	VERB
ejpam-1063	65	5	i+	i+	PROPN
ejpam-1063	65	6	j	j	PROPN
ejpam-1063	65	7	=	=	PROPN
ejpam-1063	65	8	m+1	m+1	PROPN
ejpam-1063	65	9	ci	ci	NOUN
ejpam-1063	65	10	j	j	PROPN
ejpam-1063	65	11	x	x	INTJ
ejpam-1063	66	1	i	i	PRON
ejpam-1063	66	2	y	y	PROPN
ejpam-1063	66	3	j	j	PROPN
ejpam-1063	66	4	∑	∑	VERB
ejpam-1063	66	5	i+	i+	PROPN
ejpam-1063	66	6	j	j	PROPN
ejpam-1063	66	7	=	=	PROPN
ejpam-1063	66	8	m	m	PROPN
ejpam-1063	66	9	ci	ci	PROPN
ejpam-1063	66	10	j	j	PROPN
ejpam-1063	66	11	x	x	INTJ
ejpam-1063	67	1	i	i	PRON
ejpam-1063	67	2	y	y	PROPN
ejpam-1063	67	3	j	j	PROPN
ejpam-1063	67	4	·	·	PUNCT
ejpam-1063	67	5	·	·	PUNCT
ejpam-1063	67	6	·	·	PUNCT
ejpam-1063	68	1	∑	∑	PUNCT
ejpam-1063	68	2	i+	i+	X
ejpam-1063	68	3	j	j	PROPN
ejpam-1063	68	4	=	=	PROPN
ejpam-1063	68	5	m+1−n	m+1−n	PROPN
ejpam-1063	68	6	ci	ci	PROPN
ejpam-1063	68	7	j	j	PROPN
ejpam-1063	68	8	x	x	INTJ
ejpam-1063	69	1	i	i	PRON
ejpam-1063	69	2	y	y	PROPN
ejpam-1063	69	3	j	j	PROPN
ejpam-1063	69	4	...	...	PUNCT
ejpam-1063	69	5	...	...	PUNCT
ejpam-1063	69	6	.	.	PUNCT
ejpam-1063	69	7	.	.	PUNCT
ejpam-1063	69	8	.	.	PUNCT
ejpam-1063	70	1	...	...	PUNCT
ejpam-1063	71	1	∑	∑	PUNCT
ejpam-1063	71	2	i+	i+	X
ejpam-1063	71	3	j	j	PROPN
ejpam-1063	71	4	=	=	PROPN
ejpam-1063	71	5	m+n	m+n	PROPN
ejpam-1063	71	6	ci	ci	PROPN
ejpam-1063	71	7	j	j	PROPN
ejpam-1063	71	8	x	x	INTJ
ejpam-1063	72	1	i	i	PRON
ejpam-1063	72	2	y	y	PROPN
ejpam-1063	72	3	j	j	PROPN
ejpam-1063	72	4	∑m	∑m	PROPN
ejpam-1063	72	5	i+	i+	NUM
ejpam-1063	72	6	j	j	PROPN
ejpam-1063	72	7	=	=	PROPN
ejpam-1063	72	8	m+n−1	m+n−1	PROPN
ejpam-1063	72	9	ci	ci	NOUN
ejpam-1063	72	10	j	j	PROPN
ejpam-1063	72	11	x	x	INTJ
ejpam-1063	73	1	i	i	PRON
ejpam-1063	73	2	y	y	PROPN
ejpam-1063	73	3	j	j	PROPN
ejpam-1063	73	4	·	·	PUNCT
ejpam-1063	73	5	·	·	PUNCT
ejpam-1063	73	6	·	·	PUNCT
ejpam-1063	74	1	∑m	∑m	INTJ
ejpam-1063	74	2	i+	i+	PUNCT
ejpam-1063	74	3	j	j	PROPN
ejpam-1063	74	4	=	=	PROPN
ejpam-1063	74	5	m	m	PROPN
ejpam-1063	74	6	ci	ci	PROPN
ejpam-1063	74	7	j	j	PROPN
ejpam-1063	74	8	x	x	INTJ
ejpam-1063	75	1	i	i	PRON
ejpam-1063	75	2	y	y	PROPN
ejpam-1063	75	3	j	j	PROPN
ejpam-1063	75	4	�	�	PROPN
ejpam-1063	75	5	�	�	PROPN
ejpam-1063	75	6	�	�	PROPN
ejpam-1063	75	7	�	�	PROPN
ejpam-1063	75	8	�	�	PROPN
ejpam-1063	75	9	�	�	PROPN
ejpam-1063	75	10	�	�	PROPN
ejpam-1063	75	11	�	�	PROPN
ejpam-1063	75	12	�	�	PROPN
ejpam-1063	75	13	�	�	PROPN
ejpam-1063	75	14	(	(	PUNCT
ejpam-1063	75	15	10	10	NUM
ejpam-1063	75	16	)	)	PUNCT
ejpam-1063	75	17	and	and	CCONJ
ejpam-1063	75	18	q(x	q(x	PROPN
ejpam-1063	75	19	,	,	PUNCT
ejpam-1063	75	20	y	y	NOUN
ejpam-1063	75	21	)	)	PUNCT
ejpam-1063	75	22	=	=	SYM
ejpam-1063	75	23	�	�	PROPN
ejpam-1063	75	24	�	�	PROPN
ejpam-1063	75	25	�	�	PROPN
ejpam-1063	75	26	�	�	PROPN
ejpam-1063	75	27	�	�	PROPN
ejpam-1063	75	28	�	�	PROPN
ejpam-1063	75	29	�	�	PROPN
ejpam-1063	75	30	�	�	PROPN
ejpam-1063	75	31	�	�	PROPN
ejpam-1063	75	32	1	1	NUM
ejpam-1063	75	33	1	1	NUM
ejpam-1063	75	34	·	·	PUNCT
ejpam-1063	75	35	·	·	PUNCT
ejpam-1063	75	36	·	·	PUNCT
ejpam-1063	75	37	1	1	NUM
ejpam-1063	75	38	∑	∑	PUNCT
ejpam-1063	75	39	i+	i+	NUM
ejpam-1063	75	40	j	j	PROPN
ejpam-1063	75	41	=	=	PROPN
ejpam-1063	75	42	m+1	m+1	PROPN
ejpam-1063	75	43	ci	ci	NOUN
ejpam-1063	75	44	j	j	PROPN
ejpam-1063	75	45	x	x	INTJ
ejpam-1063	76	1	i	i	PRON
ejpam-1063	76	2	y	y	PROPN
ejpam-1063	76	3	j	j	PROPN
ejpam-1063	76	4	∑	∑	VERB
ejpam-1063	76	5	i+	i+	PROPN
ejpam-1063	76	6	j	j	PROPN
ejpam-1063	76	7	=	=	PROPN
ejpam-1063	76	8	m	m	PROPN
ejpam-1063	76	9	ci	ci	PROPN
ejpam-1063	76	10	j	j	PROPN
ejpam-1063	76	11	x	x	INTJ
ejpam-1063	77	1	i	i	PRON
ejpam-1063	77	2	y	y	PROPN
ejpam-1063	77	3	j	j	PROPN
ejpam-1063	77	4	·	·	PUNCT
ejpam-1063	77	5	·	·	PUNCT
ejpam-1063	77	6	·	·	PUNCT
ejpam-1063	78	1	∑	∑	PUNCT
ejpam-1063	78	2	i+	i+	X
ejpam-1063	78	3	j	j	PROPN
ejpam-1063	78	4	=	=	PROPN
ejpam-1063	78	5	m+1−n	m+1−n	PROPN
ejpam-1063	78	6	ci	ci	PROPN
ejpam-1063	78	7	j	j	PROPN
ejpam-1063	78	8	x	x	INTJ
ejpam-1063	79	1	i	i	PRON
ejpam-1063	79	2	y	y	PROPN
ejpam-1063	79	3	j	j	PROPN
ejpam-1063	79	4	...	...	PUNCT
ejpam-1063	79	5	...	...	PUNCT
ejpam-1063	79	6	.	.	PUNCT
ejpam-1063	79	7	.	.	PUNCT
ejpam-1063	79	8	.	.	PUNCT
ejpam-1063	80	1	...	...	PUNCT
ejpam-1063	81	1	∑	∑	PUNCT
ejpam-1063	81	2	i+	i+	X
ejpam-1063	81	3	j	j	PROPN
ejpam-1063	81	4	=	=	PROPN
ejpam-1063	81	5	m+n	m+n	PROPN
ejpam-1063	81	6	ci	ci	PROPN
ejpam-1063	81	7	j	j	PROPN
ejpam-1063	81	8	x	x	INTJ
ejpam-1063	82	1	i	i	PRON
ejpam-1063	82	2	y	y	PROPN
ejpam-1063	82	3	j	j	PROPN
ejpam-1063	82	4	∑m	∑m	PROPN
ejpam-1063	82	5	i+	i+	NUM
ejpam-1063	82	6	j	j	PROPN
ejpam-1063	82	7	=	=	PROPN
ejpam-1063	82	8	m+n−1	m+n−1	PROPN
ejpam-1063	82	9	ci	ci	NOUN
ejpam-1063	82	10	j	j	PROPN
ejpam-1063	82	11	x	x	INTJ
ejpam-1063	83	1	i	i	PRON
ejpam-1063	83	2	y	y	PROPN
ejpam-1063	83	3	j	j	PROPN
ejpam-1063	83	4	·	·	PUNCT
ejpam-1063	83	5	·	·	PUNCT
ejpam-1063	83	6	·	·	PUNCT
ejpam-1063	84	1	∑m	∑m	INTJ
ejpam-1063	84	2	i+	i+	PUNCT
ejpam-1063	84	3	j	j	PROPN
ejpam-1063	84	4	=	=	PROPN
ejpam-1063	84	5	m	m	PROPN
ejpam-1063	84	6	ci	ci	PROPN
ejpam-1063	84	7	j	j	PROPN
ejpam-1063	84	8	x	x	INTJ
ejpam-1063	85	1	i	i	PRON
ejpam-1063	85	2	y	y	PROPN
ejpam-1063	85	3	j	j	PROPN
ejpam-1063	85	4	�	�	PROPN
ejpam-1063	85	5	�	�	PROPN
ejpam-1063	85	6	�	�	PROPN
ejpam-1063	85	7	�	�	PROPN
ejpam-1063	85	8	�	�	PROPN
ejpam-1063	85	9	�	�	PROPN
ejpam-1063	85	10	�	�	PROPN
ejpam-1063	85	11	�	�	PROPN
ejpam-1063	85	12	�	�	PROPN
ejpam-1063	85	13	(	(	PUNCT
ejpam-1063	85	14	11	11	NUM
ejpam-1063	85	15	)	)	PUNCT
ejpam-1063	85	16	then	then	ADV
ejpam-1063	85	17	it	it	PRON
ejpam-1063	85	18	is	be	AUX
ejpam-1063	85	19	easy	easy	ADJ
ejpam-1063	85	20	to	to	PART
ejpam-1063	85	21	see	see	VERB
ejpam-1063	85	22	that	that	SCONJ
ejpam-1063	85	23	p(x	p(x	PROPN
ejpam-1063	85	24	,	,	PUNCT
ejpam-1063	85	25	y	y	PROPN
ejpam-1063	85	26	)	)	PUNCT
ejpam-1063	85	27	and	and	CCONJ
ejpam-1063	85	28	q(x	q(x	PROPN
ejpam-1063	85	29	,	,	PUNCT
ejpam-1063	85	30	y	y	PROPN
ejpam-1063	85	31	)	)	PUNCT
ejpam-1063	85	32	are	be	AUX
ejpam-1063	85	33	of	of	ADP
ejpam-1063	85	34	the	the	DET
ejpam-1063	85	35	form	form	NOUN
ejpam-1063	85	36	p(x	p(x	PROPN
ejpam-1063	85	37	,	,	PUNCT
ejpam-1063	85	38	y	y	NOUN
ejpam-1063	85	39	)	)	PUNCT
ejpam-1063	85	40	=	=	PUNCT
ejpam-1063	86	1	∑mn+m	∑mn+m	PROPN
ejpam-1063	86	2	i+	i+	PUNCT
ejpam-1063	86	3	j	j	X
ejpam-1063	86	4	=	=	PROPN
ejpam-1063	86	5	mn	mn	PROPN
ejpam-1063	86	6	ai	ai	VERB
ejpam-1063	86	7	j	j	PROPN
ejpam-1063	86	8	x	x	PROPN
ejpam-1063	87	1	i	i	PRON
ejpam-1063	87	2	y	y	PROPN
ejpam-1063	87	3	j	j	PROPN
ejpam-1063	87	4	q(x	q(x	PROPN
ejpam-1063	87	5	,	,	PUNCT
ejpam-1063	87	6	y	y	PROPN
ejpam-1063	87	7	)	)	PUNCT
ejpam-1063	87	8	=	=	SYM
ejpam-1063	88	1	∑mn+n	∑mn+n	X
ejpam-1063	88	2	i+	i+	X
ejpam-1063	88	3	j	j	PROPN
ejpam-1063	89	1	=	=	PROPN
ejpam-1063	89	2	mn	mn	PROPN
ejpam-1063	89	3	bi	bi	NOUN
ejpam-1063	89	4	j	j	PROPN
ejpam-1063	89	5	x	x	PROPN
ejpam-1063	90	1	i	i	PRON
ejpam-1063	90	2	y	y	PROPN
ejpam-1063	90	3	j	j	PROPN
ejpam-1063	90	4	(	(	PUNCT
ejpam-1063	90	5	12	12	NUM
ejpam-1063	90	6	)	)	PUNCT
ejpam-1063	90	7	we	we	PRON
ejpam-1063	90	8	know	know	VERB
ejpam-1063	90	9	that	that	SCONJ
ejpam-1063	90	10	p(x	p(x	PROPN
ejpam-1063	90	11	,	,	PUNCT
ejpam-1063	90	12	y	y	PROPN
ejpam-1063	90	13	)	)	PUNCT
ejpam-1063	90	14	and	and	CCONJ
ejpam-1063	90	15	q(x	q(x	PROPN
ejpam-1063	90	16	,	,	PUNCT
ejpam-1063	90	17	y	y	PROPN
ejpam-1063	90	18	)	)	PUNCT
ejpam-1063	90	19	are	be	AUX
ejpam-1063	90	20	called	call	VERB
ejpam-1063	90	21	padé	padé	NOUN
ejpam-1063	90	22	equations	equation	NOUN
ejpam-1063	91	1	[	[	X
ejpam-1063	91	2	5	5	NUM
ejpam-1063	91	3	]	]	PUNCT
ejpam-1063	91	4	.	.	PUNCT
ejpam-1063	92	1	so	so	ADV
ejpam-1063	92	2	the	the	DET
ejpam-1063	92	3	multivariate	multivariate	NOUN
ejpam-1063	92	4	padé	padé	NOUN
ejpam-1063	92	5	approximant	approximant	ADJ
ejpam-1063	92	6	of	of	ADP
ejpam-1063	92	7	order	order	NOUN
ejpam-1063	92	8	(	(	PUNCT
ejpam-1063	92	9	m	m	NOUN
ejpam-1063	92	10	,	,	PUNCT
ejpam-1063	92	11	n	n	CCONJ
ejpam-1063	92	12	)	)	PUNCT
ejpam-1063	92	13	for	for	ADP
ejpam-1063	92	14	f	f	PROPN
ejpam-1063	92	15	(	(	PUNCT
ejpam-1063	92	16	x	x	PROPN
ejpam-1063	92	17	,	,	PUNCT
ejpam-1063	92	18	y	y	PROPN
ejpam-1063	92	19	)	)	PUNCT
ejpam-1063	92	20	is	be	AUX
ejpam-1063	92	21	defined	define	VERB
ejpam-1063	92	22	as	as	ADP
ejpam-1063	92	23	,	,	PUNCT
ejpam-1063	92	24	rm	rm	PROPN
ejpam-1063	92	25	,	,	PUNCT
ejpam-1063	92	26	n(x	n(x	PROPN
ejpam-1063	92	27	,	,	PUNCT
ejpam-1063	92	28	y	y	NOUN
ejpam-1063	92	29	)	)	PUNCT
ejpam-1063	92	30	=	=	PUNCT
ejpam-1063	92	31	p(x	p(x	PROPN
ejpam-1063	92	32	,	,	PUNCT
ejpam-1063	92	33	y	y	PROPN
ejpam-1063	92	34	)	)	PUNCT
ejpam-1063	92	35	q(x	q(x	PROPN
ejpam-1063	92	36	,	,	PUNCT
ejpam-1063	92	37	y	y	PROPN
ejpam-1063	92	38	)	)	PUNCT
ejpam-1063	92	39	(	(	PUNCT
ejpam-1063	92	40	13	13	X
ejpam-1063	92	41	)	)	PUNCT
ejpam-1063	92	42	m.	m.	NOUN
ejpam-1063	92	43	yiğider	yiğider	NOUN
ejpam-1063	92	44	,	,	PUNCT
ejpam-1063	92	45	e.	e.	PROPN
ejpam-1063	92	46	çelik	çelik	PROPN
ejpam-1063	92	47	/	/	SYM
ejpam-1063	92	48	eur	eur	PROPN
ejpam-1063	92	49	.	.	PUNCT
ejpam-1063	93	1	j.	j.	PROPN
ejpam-1063	93	2	pure	pure	PROPN
ejpam-1063	93	3	appl	appl	PROPN
ejpam-1063	93	4	.	.	PROPN
ejpam-1063	93	5	math	math	PROPN
ejpam-1063	93	6	,	,	PUNCT
ejpam-1063	93	7	4	4	NUM
ejpam-1063	93	8	(	(	PUNCT
ejpam-1063	93	9	2011	2011	NUM
ejpam-1063	93	10	)	)	PUNCT
ejpam-1063	93	11	,	,	PUNCT
ejpam-1063	93	12	67	67	NUM
ejpam-1063	93	13	-	-	SYM
ejpam-1063	93	14	75	75	NUM
ejpam-1063	93	15	70	70	NUM
ejpam-1063	93	16	4	4	NUM
ejpam-1063	93	17	.	.	PUNCT
ejpam-1063	93	18	numerical	numerical	ADJ
ejpam-1063	93	19	example	example	NOUN
ejpam-1063	93	20	:	:	PUNCT
ejpam-1063	93	21	the	the	DET
ejpam-1063	93	22	test	test	NOUN
ejpam-1063	93	23	problem	problem	NOUN
ejpam-1063	93	24	considers	consider	VERB
ejpam-1063	93	25	the	the	DET
ejpam-1063	93	26	following	follow	VERB
ejpam-1063	93	27	partial	partial	ADJ
ejpam-1063	93	28	differential	differential	ADJ
ejpam-1063	93	29	-	-	PUNCT
ejpam-1063	93	30	algebraic	algebraic	ADJ
ejpam-1063	93	31	equation(pdae	equation(pdae	NOUN
ejpam-1063	93	32	)	)	PUNCT
ejpam-1063	94	1	[	[	X
ejpam-1063	94	2	8	8	NUM
ejpam-1063	94	3	]	]	NUM
ejpam-1063	94	4	:	:	PUNCT
ejpam-1063	94	5			PROPN
ejpam-1063	94	6			NOUN
ejpam-1063	94	7			NOUN
ejpam-1063	94	8	0	0	NUM
ejpam-1063	94	9	1	1	NUM
ejpam-1063	94	10	0	0	NUM
ejpam-1063	94	11	0	0	NUM
ejpam-1063	94	12	0	0	NUM
ejpam-1063	94	13	1	1	NUM
ejpam-1063	94	14	0	0	NUM
ejpam-1063	94	15	0	0	NUM
ejpam-1063	94	16	0	0	NUM
ejpam-1063	94	17			NOUN
ejpam-1063	94	18			NOUN
ejpam-1063	94	19			PUNCT
ejpam-1063	95	1	ut	ut	PROPN
ejpam-1063	95	2	+	+	CCONJ
ejpam-1063	95	3			PROPN
ejpam-1063	95	4			NOUN
ejpam-1063	95	5			NOUN
ejpam-1063	95	6	0	0	NUM
ejpam-1063	95	7	0	0	NUM
ejpam-1063	95	8	−1	−1	NOUN
ejpam-1063	95	9	0	0	NUM
ejpam-1063	95	10	−1	−1	NOUN
ejpam-1063	95	11	−1	−1	NOUN
ejpam-1063	95	12	0	0	NUM
ejpam-1063	95	13	0	0	NUM
ejpam-1063	95	14	0	0	NUM
ejpam-1063	95	15			NOUN
ejpam-1063	95	16			NOUN
ejpam-1063	95	17			PUNCT
ejpam-1063	96	1	ux	ux	INTJ
ejpam-1063	96	2	x	x	SYM
ejpam-1063	96	3	+	+	CCONJ
ejpam-1063	96	4			NOUN
ejpam-1063	96	5			NOUN
ejpam-1063	96	6			NOUN
ejpam-1063	96	7	−1	−1	NOUN
ejpam-1063	96	8	−1	−1	ADV
ejpam-1063	96	9	−1	−1	NOUN
ejpam-1063	96	10	0	0	NUM
ejpam-1063	96	11	−1	−1	NOUN
ejpam-1063	96	12	0	0	NUM
ejpam-1063	96	13	0	0	NUM
ejpam-1063	96	14	0	0	NUM
ejpam-1063	96	15	1	1	NUM
ejpam-1063	96	16			NOUN
ejpam-1063	96	17			NOUN
ejpam-1063	96	18			PUNCT
ejpam-1063	97	1	u=	u=	ADJ
ejpam-1063	97	2	f	f	NOUN
ejpam-1063	97	3	(	(	PUNCT
ejpam-1063	97	4	14	14	NUM
ejpam-1063	97	5	)	)	PUNCT
ejpam-1063	97	6	x	x	SYM
ejpam-1063	97	7	∈	∈	PROPN
ejpam-1063	98	1	[	[	X
ejpam-1063	98	2	−0.5,0.5	−0.5,0.5	X
ejpam-1063	98	3	]	]	X
ejpam-1063	98	4	,	,	PUNCT
ejpam-1063	98	5	t	t	PROPN
ejpam-1063	98	6	∈	∈	PROPN
ejpam-1063	99	1	[	[	X
ejpam-1063	99	2	0,1	0,1	NUM
ejpam-1063	99	3	]	]	PUNCT
ejpam-1063	99	4	.	.	PUNCT
ejpam-1063	100	1	where	where	SCONJ
ejpam-1063	100	2	f1	f1	NOUN
ejpam-1063	100	3	=	=	SYM
ejpam-1063	100	4	−x(x	−x(x	NOUN
ejpam-1063	100	5	−	−	PROPN
ejpam-1063	100	6	1)(2	1)(2	NUM
ejpam-1063	100	7	sin	sin	NOUN
ejpam-1063	100	8	t	t	NOUN
ejpam-1063	100	9	+	+	CCONJ
ejpam-1063	100	10	cos	cos	PROPN
ejpam-1063	100	11	t)−	t)−	PROPN
ejpam-1063	100	12	(	(	PUNCT
ejpam-1063	100	13	et	et	NOUN
ejpam-1063	100	14	+	+	NOUN
ejpam-1063	100	15	t5)(x2−	t5)(x2−	NOUN
ejpam-1063	100	16	x	x	SYM
ejpam-1063	101	1	+	+	PROPN
ejpam-1063	101	2	2	2	X
ejpam-1063	101	3	)	)	PUNCT
ejpam-1063	101	4	f2	f2	PROPN
ejpam-1063	101	5	=	=	SYM
ejpam-1063	101	6	x(x	x(x	PROPN
ejpam-1063	101	7	−	−	NOUN
ejpam-1063	101	8	1)(et	1)(et	NUM
ejpam-1063	101	9	+	+	NOUN
ejpam-1063	101	10	5t4	5t4	NUM
ejpam-1063	101	11	−	−	NOUN
ejpam-1063	101	12	cos	cos	ADP
ejpam-1063	102	1	t)−	t)−	PROPN
ejpam-1063	102	2	2(et	2(et	X
ejpam-1063	102	3	+	+	CCONJ
ejpam-1063	102	4	t5	t5	PROPN
ejpam-1063	102	5	+	+	CCONJ
ejpam-1063	102	6	cos	cos	PROPN
ejpam-1063	102	7	t	t	PROPN
ejpam-1063	102	8	)	)	PUNCT
ejpam-1063	102	9	f3	f3	NOUN
ejpam-1063	102	10	=	=	SYM
ejpam-1063	102	11	−x(x	−x(x	NOUN
ejpam-1063	102	12	−	−	NOUN
ejpam-1063	102	13	1)(et	1)(et	NUM
ejpam-1063	102	14	+	+	CCONJ
ejpam-1063	102	15	t5	t5	PROPN
ejpam-1063	102	16	)	)	PUNCT
ejpam-1063	102	17	.	.	PUNCT
ejpam-1063	103	1	the	the	DET
ejpam-1063	103	2	exact	exact	ADJ
ejpam-1063	103	3	solution	solution	NOUN
ejpam-1063	103	4	is	be	AUX
ejpam-1063	103	5	u(x	u(x	PROPN
ejpam-1063	103	6	,	,	PUNCT
ejpam-1063	103	7	t	t	NOUN
ejpam-1063	103	8	)	)	PUNCT
ejpam-1063	103	9	=	=	SYM
ejpam-1063	103	10			PROPN
ejpam-1063	103	11			NOUN
ejpam-1063	103	12			PROPN
ejpam-1063	103	13	x(x	x(x	PROPN
ejpam-1063	104	1	−	−	PROPN
ejpam-1063	104	2	1	1	X
ejpam-1063	104	3	)	)	PUNCT
ejpam-1063	104	4	sin(t	sin(t	PROPN
ejpam-1063	104	5	)	)	PUNCT
ejpam-1063	104	6	x(x	x(x	PROPN
ejpam-1063	105	1	−	−	PROPN
ejpam-1063	105	2	1	1	NUM
ejpam-1063	105	3	)	)	PUNCT
ejpam-1063	105	4	cos(t	cos(t	PROPN
ejpam-1063	105	5	)	)	PUNCT
ejpam-1063	105	6	x(x	x(x	PROPN
ejpam-1063	106	1	−	−	NOUN
ejpam-1063	106	2	1)(et	1)(et	NUM
ejpam-1063	106	3	+	+	CCONJ
ejpam-1063	106	4	t5	t5	PROPN
ejpam-1063	106	5	)	)	PUNCT
ejpam-1063	106	6			PROPN
ejpam-1063	106	7			NOUN
ejpam-1063	106	8			PUNCT
ejpam-1063	107	1	(	(	PUNCT
ejpam-1063	107	2	15	15	NUM
ejpam-1063	107	3	)	)	PUNCT
ejpam-1063	107	4	equivalently	equivalently	ADV
ejpam-1063	107	5	,	,	PUNCT
ejpam-1063	107	6	equation	equation	NOUN
ejpam-1063	107	7	(	(	PUNCT
ejpam-1063	107	8	14	14	NUM
ejpam-1063	107	9	)	)	PUNCT
ejpam-1063	107	10	can	can	AUX
ejpam-1063	107	11	be	be	AUX
ejpam-1063	107	12	written	write	VERB
ejpam-1063	107	13	as	as	ADP
ejpam-1063	107	14			NOUN
ejpam-1063	107	15			NOUN
ejpam-1063	107	16			NOUN
ejpam-1063	107	17	0	0	NUM
ejpam-1063	107	18	1	1	NUM
ejpam-1063	107	19	0	0	NUM
ejpam-1063	107	20	0	0	NUM
ejpam-1063	107	21	0	0	NUM
ejpam-1063	107	22	1	1	NUM
ejpam-1063	107	23	0	0	NUM
ejpam-1063	107	24	0	0	NUM
ejpam-1063	107	25	0	0	NUM
ejpam-1063	107	26			NOUN
ejpam-1063	107	27			NOUN
ejpam-1063	107	28			PUNCT
ejpam-1063	108	1			PROPN
ejpam-1063	108	2			NOUN
ejpam-1063	108	3			NOUN
ejpam-1063	108	4	u1	u1	NOUN
ejpam-1063	108	5	t	t	PROPN
ejpam-1063	108	6	u2	u2	PROPN
ejpam-1063	108	7	t	t	PROPN
ejpam-1063	108	8	u3	u3	PROPN
ejpam-1063	108	9	t	t	PROPN
ejpam-1063	108	10			NOUN
ejpam-1063	108	11			NOUN
ejpam-1063	108	12			PUNCT
ejpam-1063	109	1	+	+	PUNCT
ejpam-1063	109	2			NOUN
ejpam-1063	109	3			NOUN
ejpam-1063	109	4			NOUN
ejpam-1063	109	5	0	0	NUM
ejpam-1063	109	6	0	0	NUM
ejpam-1063	109	7	−1	−1	NOUN
ejpam-1063	109	8	0	0	NUM
ejpam-1063	109	9	−1	−1	NOUN
ejpam-1063	109	10	−1	−1	NOUN
ejpam-1063	109	11	0	0	NUM
ejpam-1063	109	12	0	0	NUM
ejpam-1063	109	13	0	0	NUM
ejpam-1063	109	14			NOUN
ejpam-1063	109	15			NOUN
ejpam-1063	109	16			PUNCT
ejpam-1063	110	1			PROPN
ejpam-1063	110	2			NOUN
ejpam-1063	110	3			ADJ
ejpam-1063	110	4	u1x	u1x	PROPN
ejpam-1063	110	5	x	x	PRON
ejpam-1063	110	6	u2x	u2x	PROPN
ejpam-1063	110	7	x	x	SYM
ejpam-1063	110	8	u3x	u3x	PUNCT
ejpam-1063	110	9	x	x	X
ejpam-1063	110	10			NOUN
ejpam-1063	110	11			NOUN
ejpam-1063	110	12			PUNCT
ejpam-1063	111	1	+	+	PUNCT
ejpam-1063	111	2			NOUN
ejpam-1063	111	3			NOUN
ejpam-1063	111	4			NOUN
ejpam-1063	111	5	−1	−1	NOUN
ejpam-1063	111	6	−1	−1	ADV
ejpam-1063	111	7	−1	−1	NOUN
ejpam-1063	111	8	0	0	NUM
ejpam-1063	111	9	−1	−1	NOUN
ejpam-1063	111	10	0	0	NUM
ejpam-1063	111	11	0	0	NUM
ejpam-1063	111	12	0	0	NUM
ejpam-1063	111	13	1	1	NUM
ejpam-1063	111	14			NOUN
ejpam-1063	111	15			NOUN
ejpam-1063	111	16			PUNCT
ejpam-1063	112	1			PROPN
ejpam-1063	112	2			NOUN
ejpam-1063	112	3			NOUN
ejpam-1063	112	4	u1	u1	NOUN
ejpam-1063	112	5	u2	u2	PROPN
ejpam-1063	112	6	u3	u3	PROPN
ejpam-1063	112	7			PROPN
ejpam-1063	112	8			NOUN
ejpam-1063	112	9			PUNCT
ejpam-1063	113	1	=	=	PUNCT
ejpam-1063	113	2			PROPN
ejpam-1063	113	3			NOUN
ejpam-1063	113	4			NOUN
ejpam-1063	113	5	f1	f1	NOUN
ejpam-1063	113	6	f2	f2	PROPN
ejpam-1063	113	7	f3	f3	PROPN
ejpam-1063	113	8			PROPN
ejpam-1063	113	9			NOUN
ejpam-1063	113	10			PUNCT
ejpam-1063	114	1	(	(	PUNCT
ejpam-1063	114	2	16	16	NUM
ejpam-1063	114	3	)	)	PUNCT
ejpam-1063	114	4	u2	u2	PROPN
ejpam-1063	114	5	t	t	PROPN
ejpam-1063	114	6	−	−	NOUN
ejpam-1063	114	7	u3x	u3x	ADJ
ejpam-1063	115	1	x	x	SYM
ejpam-1063	115	2	−	−	PROPN
ejpam-1063	115	3	u1	u1	NOUN
ejpam-1063	115	4	−	−	PROPN
ejpam-1063	115	5	u2	u2	PROPN
ejpam-1063	115	6	−	−	PROPN
ejpam-1063	115	7	u3	u3	NOUN
ejpam-1063	115	8	=	=	PUNCT
ejpam-1063	115	9	f1	f1	NOUN
ejpam-1063	115	10	u3	u3	PROPN
ejpam-1063	115	11	t	t	PROPN
ejpam-1063	115	12	−	−	PROPN
ejpam-1063	115	13	u2x	u2x	PROPN
ejpam-1063	115	14	x	x	NOUN
ejpam-1063	115	15	−	−	NOUN
ejpam-1063	115	16	u3x	u3x	ADJ
ejpam-1063	115	17	x	x	PUNCT
ejpam-1063	116	1	−	−	PROPN
ejpam-1063	116	2	u2	u2	NOUN
ejpam-1063	116	3	=	=	SYM
ejpam-1063	116	4	f2	f2	PROPN
ejpam-1063	116	5	(	(	PUNCT
ejpam-1063	116	6	17	17	NUM
ejpam-1063	116	7	)	)	PUNCT
ejpam-1063	116	8	−u3	−u3	NOUN
ejpam-1063	116	9	=	=	SYM
ejpam-1063	116	10	f3	f3	PROPN
ejpam-1063	116	11	by	by	ADP
ejpam-1063	116	12	using	use	VERB
ejpam-1063	116	13	the	the	DET
ejpam-1063	116	14	basic	basic	ADJ
ejpam-1063	116	15	definition	definition	NOUN
ejpam-1063	116	16	of	of	ADP
ejpam-1063	116	17	the	the	DET
ejpam-1063	116	18	two	two	NUM
ejpam-1063	116	19	-	-	PUNCT
ejpam-1063	116	20	dimensional	dimensional	ADJ
ejpam-1063	116	21	differential	differential	ADJ
ejpam-1063	116	22	transform	transform	NOUN
ejpam-1063	116	23	and	and	CCONJ
ejpam-1063	116	24	taking	take	VERB
ejpam-1063	116	25	the	the	DET
ejpam-1063	116	26	transform	transform	NOUN
ejpam-1063	116	27	of	of	ADP
ejpam-1063	116	28	equation	equation	NOUN
ejpam-1063	116	29	(	(	PUNCT
ejpam-1063	116	30	17	17	NUM
ejpam-1063	116	31	)	)	PUNCT
ejpam-1063	116	32	can	can	AUX
ejpam-1063	116	33	obtain	obtain	VERB
ejpam-1063	116	34	that	that	PRON
ejpam-1063	116	35	(	(	PUNCT
ejpam-1063	116	36	k+	k+	X
ejpam-1063	116	37	1)u2(k+	1)u2(k+	PROPN
ejpam-1063	116	38	1,h)−	1,h)−	NUM
ejpam-1063	116	39	(	(	PUNCT
ejpam-1063	116	40	h+	h+	PROPN
ejpam-1063	116	41	1)(h+	1)(h+	NUM
ejpam-1063	116	42	2)u3(k	2)u3(k	NUM
ejpam-1063	116	43	,	,	PUNCT
ejpam-1063	116	44	h+	h+	PROPN
ejpam-1063	116	45	2)−	2)−	NUM
ejpam-1063	116	46	u1(k	u1(k	PROPN
ejpam-1063	116	47	,	,	PUNCT
ejpam-1063	116	48	h)−	h)−	PROPN
ejpam-1063	116	49	u2(k	u2(k	PROPN
ejpam-1063	116	50	,	,	PUNCT
ejpam-1063	116	51	h)−	h)−	PROPN
ejpam-1063	116	52	u3(k	u3(k	PROPN
ejpam-1063	116	53	,	,	PUNCT
ejpam-1063	116	54	h	h	NOUN
ejpam-1063	116	55	)	)	PUNCT
ejpam-1063	116	56	=	=	SYM
ejpam-1063	116	57	f1(k	f1(k	PROPN
ejpam-1063	116	58	,	,	PUNCT
ejpam-1063	116	59	h	h	NOUN
ejpam-1063	116	60	)	)	PUNCT
ejpam-1063	116	61	(	(	PUNCT
ejpam-1063	116	62	k+	k+	X
ejpam-1063	116	63	1)u3(k+	1)u3(k+	PROPN
ejpam-1063	116	64	1,h)−	1,h)−	NUM
ejpam-1063	116	65	(	(	PUNCT
ejpam-1063	116	66	h+	h+	PROPN
ejpam-1063	116	67	1)(h+	1)(h+	NUM
ejpam-1063	116	68	2)u2(k	2)u2(k	NUM
ejpam-1063	116	69	,	,	PUNCT
ejpam-1063	116	70	h+	h+	X
ejpam-1063	116	71	2)−	2)−	NUM
ejpam-1063	116	72	(	(	PUNCT
ejpam-1063	116	73	h+	h+	PROPN
ejpam-1063	116	74	1)(h+	1)(h+	NUM
ejpam-1063	116	75	2)u3(k	2)u3(k	NUM
ejpam-1063	116	76	,	,	PUNCT
ejpam-1063	116	77	h+	h+	PROPN
ejpam-1063	116	78	2)−	2)−	NUM
ejpam-1063	116	79	u2(k	u2(k	PROPN
ejpam-1063	116	80	,	,	PUNCT
ejpam-1063	116	81	h	h	NOUN
ejpam-1063	116	82	)	)	PUNCT
ejpam-1063	116	83	=	=	SYM
ejpam-1063	116	84	f2(k	f2(k	PROPN
ejpam-1063	116	85	,	,	PUNCT
ejpam-1063	116	86	h	h	NOUN
ejpam-1063	116	87	)	)	PUNCT
ejpam-1063	116	88	−u3(k	−u3(k	NOUN
ejpam-1063	116	89	,	,	PUNCT
ejpam-1063	116	90	h	h	NOUN
ejpam-1063	116	91	)	)	PUNCT
ejpam-1063	116	92	=	=	PUNCT
ejpam-1063	117	1	f3(k	f3(k	PROPN
ejpam-1063	117	2	,	,	PUNCT
ejpam-1063	117	3	h	h	NOUN
ejpam-1063	117	4	)	)	PUNCT
ejpam-1063	117	5	consequently	consequently	ADV
ejpam-1063	117	6	,	,	PUNCT
ejpam-1063	117	7	by	by	ADP
ejpam-1063	117	8	substituting	substitute	VERB
ejpam-1063	117	9	the	the	DET
ejpam-1063	117	10	values	value	NOUN
ejpam-1063	117	11	of	of	ADP
ejpam-1063	117	12	ui	ui	PROPN
ejpam-1063	117	13	.	.	PUNCT
ejpam-1063	118	1	we	we	PRON
ejpam-1063	118	2	have	have	AUX
ejpam-1063	118	3	obtained	obtain	VERB
ejpam-1063	118	4	u1(x	u1(x	PROPN
ejpam-1063	118	5	,	,	PUNCT
ejpam-1063	118	6	t	t	PROPN
ejpam-1063	118	7	)	)	PUNCT
ejpam-1063	118	8	=	=	PUNCT
ejpam-1063	119	1	−x	−x	ADP
ejpam-1063	119	2	t	t	NOUN
ejpam-1063	120	1	+	+	CCONJ
ejpam-1063	120	2	x2	x2	PROPN
ejpam-1063	120	3	t	t	NOUN
ejpam-1063	120	4	+	+	NOUN
ejpam-1063	120	5	1	1	NUM
ejpam-1063	120	6	6	6	NUM
ejpam-1063	120	7	x	x	SYM
ejpam-1063	120	8	t3	t3	NOUN
ejpam-1063	120	9	−	−	PROPN
ejpam-1063	120	10	1	1	NUM
ejpam-1063	120	11	6	6	NUM
ejpam-1063	120	12	x2t3	x2t3	PUNCT
ejpam-1063	120	13	−	−	PROPN
ejpam-1063	120	14	1	1	NUM
ejpam-1063	120	15	120	120	NUM
ejpam-1063	120	16	x	x	SYM
ejpam-1063	120	17	t5	t5	PROPN
ejpam-1063	120	18	+	+	CCONJ
ejpam-1063	120	19	1	1	NUM
ejpam-1063	120	20	120	120	NUM
ejpam-1063	120	21	x2t5	x2t5	NOUN
ejpam-1063	120	22	+	+	CCONJ
ejpam-1063	120	23	1	1	NUM
ejpam-1063	120	24	5040	5040	NUM
ejpam-1063	120	25	x	x	SYM
ejpam-1063	120	26	t7	t7	PROPN
ejpam-1063	120	27	u2(x	u2(x	PROPN
ejpam-1063	120	28	,	,	PUNCT
ejpam-1063	120	29	t	t	PROPN
ejpam-1063	120	30	)	)	PUNCT
ejpam-1063	121	1	=	=	PUNCT
ejpam-1063	121	2	−x	−x	NOUN
ejpam-1063	122	1	+	+	CCONJ
ejpam-1063	122	2	x2	x2	PROPN
ejpam-1063	122	3	+	+	CCONJ
ejpam-1063	122	4	1	1	NUM
ejpam-1063	122	5	2	2	NUM
ejpam-1063	122	6	x	x	NOUN
ejpam-1063	122	7	t2	t2	NOUN
ejpam-1063	122	8	−	−	PROPN
ejpam-1063	122	9	1	1	NUM
ejpam-1063	122	10	2	2	NUM
ejpam-1063	122	11	x2t2	x2t2	NOUN
ejpam-1063	122	12	−	−	NOUN
ejpam-1063	122	13	1	1	NUM
ejpam-1063	122	14	24	24	NUM
ejpam-1063	122	15	x	x	SYM
ejpam-1063	122	16	t4	t4	PROPN
ejpam-1063	122	17	+	+	PROPN
ejpam-1063	122	18	1	1	NUM
ejpam-1063	122	19	24	24	NUM
ejpam-1063	122	20	x2t4	x2t4	PUNCT
ejpam-1063	123	1	+	+	NUM
ejpam-1063	123	2	1	1	NUM
ejpam-1063	123	3	720	720	NUM
ejpam-1063	123	4	x	x	NOUN
ejpam-1063	123	5	t6	t6	PROPN
ejpam-1063	123	6	−	−	PROPN
ejpam-1063	123	7	1	1	NUM
ejpam-1063	123	8	720	720	NUM
ejpam-1063	123	9	x2t6	x2t6	X
ejpam-1063	124	1	u3(x	u3(x	PROPN
ejpam-1063	124	2	,	,	PUNCT
ejpam-1063	124	3	t	t	PROPN
ejpam-1063	124	4	)	)	PUNCT
ejpam-1063	125	1	=	=	PUNCT
ejpam-1063	125	2	−x	−x	NOUN
ejpam-1063	125	3	−	−	NOUN
ejpam-1063	126	1	x	x	SYM
ejpam-1063	127	1	t	t	PROPN
ejpam-1063	128	1	+	+	CCONJ
ejpam-1063	128	2	x2−	x2−	PROPN
ejpam-1063	128	3	1	1	NUM
ejpam-1063	128	4	2	2	NUM
ejpam-1063	128	5	x	x	NOUN
ejpam-1063	128	6	t2	t2	NOUN
ejpam-1063	128	7	+	+	CCONJ
ejpam-1063	129	1	x2	x2	PROPN
ejpam-1063	129	2	t	t	NOUN
ejpam-1063	129	3	−	−	NUM
ejpam-1063	129	4	1	1	NUM
ejpam-1063	129	5	6	6	NUM
ejpam-1063	129	6	x	x	SYM
ejpam-1063	129	7	t3	t3	PROPN
ejpam-1063	130	1	+	+	CCONJ
ejpam-1063	130	2	1	1	NUM
ejpam-1063	130	3	2	2	NUM
ejpam-1063	130	4	x2t2	x2t2	NOUN
ejpam-1063	130	5	−	−	NOUN
ejpam-1063	130	6	1	1	NUM
ejpam-1063	130	7	24	24	NUM
ejpam-1063	130	8	x	x	SYM
ejpam-1063	130	9	t4	t4	PROPN
ejpam-1063	130	10	+	+	PROPN
ejpam-1063	130	11	1	1	NUM
ejpam-1063	130	12	6	6	NUM
ejpam-1063	130	13	x2t3	x2t3	PUNCT
ejpam-1063	130	14	−	−	PROPN
ejpam-1063	130	15	121	121	NUM
ejpam-1063	130	16	120	120	NUM
ejpam-1063	130	17	x	x	SYM
ejpam-1063	130	18	t5	t5	PROPN
ejpam-1063	130	19	m.	m.	NOUN
ejpam-1063	130	20	yiğider	yiğider	NOUN
ejpam-1063	130	21	,	,	PUNCT
ejpam-1063	130	22	e.	e.	PROPN
ejpam-1063	130	23	çelik	çelik	PROPN
ejpam-1063	130	24	/	/	SYM
ejpam-1063	130	25	eur	eur	PROPN
ejpam-1063	130	26	.	.	PUNCT
ejpam-1063	131	1	j.	j.	PROPN
ejpam-1063	131	2	pure	pure	PROPN
ejpam-1063	131	3	appl	appl	PROPN
ejpam-1063	131	4	.	.	PROPN
ejpam-1063	131	5	math	math	PROPN
ejpam-1063	131	6	,	,	PUNCT
ejpam-1063	131	7	4	4	NUM
ejpam-1063	131	8	(	(	PUNCT
ejpam-1063	131	9	2011	2011	NUM
ejpam-1063	131	10	)	)	PUNCT
ejpam-1063	131	11	,	,	PUNCT
ejpam-1063	131	12	67	67	NUM
ejpam-1063	131	13	-	-	SYM
ejpam-1063	131	14	75	75	NUM
ejpam-1063	131	15	71	71	NUM
ejpam-1063	131	16	+	+	CCONJ
ejpam-1063	131	17	1	1	NUM
ejpam-1063	131	18	24	24	NUM
ejpam-1063	131	19	x2t4	x2t4	NOUN
ejpam-1063	131	20	−	−	PROPN
ejpam-1063	131	21	1	1	NUM
ejpam-1063	131	22	720	720	NUM
ejpam-1063	131	23	x	x	PUNCT
ejpam-1063	131	24	t6	t6	PROPN
ejpam-1063	131	25	+	+	CCONJ
ejpam-1063	131	26	121	121	NUM
ejpam-1063	131	27	120	120	NUM
ejpam-1063	131	28	x2t5	x2t5	NOUN
ejpam-1063	131	29	−	−	PROPN
ejpam-1063	131	30	1	1	NUM
ejpam-1063	131	31	5040	5040	NUM
ejpam-1063	131	32	x	x	SYM
ejpam-1063	131	33	t7	t7	PROPN
ejpam-1063	131	34	+	+	CCONJ
ejpam-1063	131	35	1	1	NUM
ejpam-1063	131	36	720	720	NUM
ejpam-1063	131	37	x2t6	x2t6	X
ejpam-1063	132	1	the	the	DET
ejpam-1063	132	2	power	power	NOUN
ejpam-1063	132	3	series	series	PROPN
ejpam-1063	132	4	u1(x	u1(x	PROPN
ejpam-1063	132	5	,	,	PUNCT
ejpam-1063	132	6	t),u2(x	t),u2(x	PROPN
ejpam-1063	132	7	,	,	PUNCT
ejpam-1063	132	8	t	t	PROPN
ejpam-1063	132	9	)	)	PUNCT
ejpam-1063	132	10	and	and	CCONJ
ejpam-1063	132	11	u3(x	u3(x	PROPN
ejpam-1063	132	12	,	,	PUNCT
ejpam-1063	132	13	t	t	PROPN
ejpam-1063	132	14	)	)	PUNCT
ejpam-1063	132	15	can	can	AUX
ejpam-1063	132	16	be	be	AUX
ejpam-1063	132	17	transformed	transform	VERB
ejpam-1063	132	18	into	into	ADP
ejpam-1063	132	19	multivariate	multivariate	NOUN
ejpam-1063	132	20	padé	padé	NOUN
ejpam-1063	132	21	approximation	approximation	NOUN
ejpam-1063	132	22	m=	m=	X
ejpam-1063	132	23	3	3	NUM
ejpam-1063	132	24	,	,	PUNCT
ejpam-1063	132	25	n=	n=	ADJ
ejpam-1063	132	26	2	2	NUM
ejpam-1063	132	27	p1(x	p1(x	PROPN
ejpam-1063	132	28	,	,	PUNCT
ejpam-1063	132	29	t	t	PROPN
ejpam-1063	132	30	)	)	PUNCT
ejpam-1063	132	31	=	=	SYM
ejpam-1063	132	32	�	�	PROPN
ejpam-1063	132	33	�	�	PROPN
ejpam-1063	132	34	�	�	PROPN
ejpam-1063	132	35	�	�	PROPN
ejpam-1063	132	36	�	�	PROPN
ejpam-1063	132	37	�	�	PROPN
ejpam-1063	132	38	�	�	PROPN
ejpam-1063	132	39	−x	−x	PROPN
ejpam-1063	132	40	t	t	PROPN
ejpam-1063	133	1	+	+	CCONJ
ejpam-1063	133	2	x2	x2	PROPN
ejpam-1063	133	3	t	t	X
ejpam-1063	133	4	−x	−x	NOUN
ejpam-1063	133	5	t	t	PROPN
ejpam-1063	133	6	0	0	NUM
ejpam-1063	133	7	1	1	NUM
ejpam-1063	133	8	6	6	NUM
ejpam-1063	133	9	x	x	SYM
ejpam-1063	133	10	t3	t3	PROPN
ejpam-1063	133	11	x2	x2	PROPN
ejpam-1063	133	12	t	t	PROPN
ejpam-1063	133	13	−x	−x	NOUN
ejpam-1063	133	14	t	t	PROPN
ejpam-1063	133	15	1	1	NUM
ejpam-1063	133	16	6	6	NUM
ejpam-1063	133	17	x2t3	x2t3	SYM
ejpam-1063	133	18	1	1	NUM
ejpam-1063	133	19	6	6	NUM
ejpam-1063	133	20	x	x	SYM
ejpam-1063	133	21	t3	t3	PROPN
ejpam-1063	133	22	x2	x2	PROPN
ejpam-1063	133	23	t	t	PROPN
ejpam-1063	133	24	�	�	PROPN
ejpam-1063	133	25	�	�	PROPN
ejpam-1063	133	26	�	�	PROPN
ejpam-1063	133	27	�	�	PROPN
ejpam-1063	133	28	�	�	PROPN
ejpam-1063	133	29	�	�	PROPN
ejpam-1063	133	30	�	�	PROPN
ejpam-1063	133	31	=	=	PUNCT
ejpam-1063	133	32	−0.1666666667x3t5	−0.1666666667x3t5	NOUN
ejpam-1063	134	1	+	+	CCONJ
ejpam-1063	134	2	0.1666666667x4t5	0.1666666667x4t5	NUM
ejpam-1063	134	3	−	−	PUNCT
ejpam-1063	134	4	x5t7	x5t7	PUNCT
ejpam-1063	135	1	+	+	NUM
ejpam-1063	135	2	x6t7	x6t7	AUX
ejpam-1063	135	3	q1(x	q1(x	NUM
ejpam-1063	135	4	,	,	PUNCT
ejpam-1063	135	5	t	t	PROPN
ejpam-1063	135	6	)	)	PUNCT
ejpam-1063	135	7	=	=	SYM
ejpam-1063	135	8	�	�	PROPN
ejpam-1063	135	9	�	�	PROPN
ejpam-1063	135	10	�	�	PROPN
ejpam-1063	135	11	�	�	PROPN
ejpam-1063	135	12	�	�	PROPN
ejpam-1063	135	13	�	�	PROPN
ejpam-1063	135	14	�	�	PROPN
ejpam-1063	135	15	1	1	NUM
ejpam-1063	135	16	1	1	NUM
ejpam-1063	135	17	1	1	NUM
ejpam-1063	135	18	1	1	NUM
ejpam-1063	135	19	6	6	NUM
ejpam-1063	135	20	x	x	SYM
ejpam-1063	135	21	t3	t3	PROPN
ejpam-1063	135	22	x2	x2	PROPN
ejpam-1063	135	23	t	t	PROPN
ejpam-1063	135	24	−x	−x	NOUN
ejpam-1063	135	25	t	t	PROPN
ejpam-1063	135	26	1	1	NUM
ejpam-1063	135	27	6	6	NUM
ejpam-1063	135	28	x2t3	x2t3	SYM
ejpam-1063	135	29	1	1	NUM
ejpam-1063	135	30	6	6	NUM
ejpam-1063	135	31	x	x	SYM
ejpam-1063	135	32	t3	t3	PROPN
ejpam-1063	135	33	x2	x2	PROPN
ejpam-1063	135	34	t	t	PROPN
ejpam-1063	135	35	�	�	PROPN
ejpam-1063	135	36	�	�	PROPN
ejpam-1063	135	37	�	�	PROPN
ejpam-1063	135	38	�	�	PROPN
ejpam-1063	135	39	�	�	PROPN
ejpam-1063	135	40	�	�	PROPN
ejpam-1063	135	41	�	�	PROPN
ejpam-1063	135	42	=	=	PUNCT
ejpam-1063	136	1	x4t2	x4t2	PROPN
ejpam-1063	137	1	+	+	NUM
ejpam-1063	137	2	0.1666666667x2t4	0.1666666667x2t4	PRON
ejpam-1063	137	3	+	+	CCONJ
ejpam-1063	137	4	0.02777777778x2t6	0.02777777778x2t6	NOUN
ejpam-1063	137	5	+	+	CCONJ
ejpam-1063	137	6	0.1666666667x4t4	0.1666666667x4t4	ADJ
ejpam-1063	137	7	r1(x	r1(x	NUM
ejpam-1063	137	8	,	,	PUNCT
ejpam-1063	137	9	t	t	PROPN
ejpam-1063	137	10	)	)	PUNCT
ejpam-1063	137	11	=	=	PUNCT
ejpam-1063	137	12	p1(x	p1(x	PROPN
ejpam-1063	137	13	,	,	PUNCT
ejpam-1063	137	14	t	t	PROPN
ejpam-1063	137	15	)	)	PUNCT
ejpam-1063	137	16	q1(x	q1(x	PROPN
ejpam-1063	137	17	,	,	PUNCT
ejpam-1063	137	18	t	t	PROPN
ejpam-1063	137	19	)	)	PUNCT
ejpam-1063	137	20	=	=	PUNCT
ejpam-1063	137	21	−0.1666666667x3t5	−0.1666666667x3t5	NOUN
ejpam-1063	138	1	+	+	CCONJ
ejpam-1063	138	2	0.1666666667x4t5	0.1666666667x4t5	NUM
ejpam-1063	138	3	−	−	PUNCT
ejpam-1063	138	4	x5t7	x5t7	PUNCT
ejpam-1063	139	1	+	+	CCONJ
ejpam-1063	139	2	x6t7	x6t7	X
ejpam-1063	139	3	x4t2	x4t2	PUNCT
ejpam-1063	140	1	+	+	NUM
ejpam-1063	140	2	0.1666666667x2t4	0.1666666667x2t4	PRON
ejpam-1063	141	1	+	+	CCONJ
ejpam-1063	141	2	0.02777777778x2t6	0.02777777778x2t6	NOUN
ejpam-1063	141	3	+	+	CCONJ
ejpam-1063	141	4	0.1666666667x4t4	0.1666666667x4t4	ADJ
ejpam-1063	141	5	p2(x	p2(x	INTJ
ejpam-1063	141	6	,	,	PUNCT
ejpam-1063	141	7	t	t	PROPN
ejpam-1063	141	8	)	)	PUNCT
ejpam-1063	141	9	=	=	SYM
ejpam-1063	141	10	�	�	PROPN
ejpam-1063	141	11	�	�	PROPN
ejpam-1063	141	12	�	�	PROPN
ejpam-1063	141	13	�	�	PROPN
ejpam-1063	141	14	�	�	PROPN
ejpam-1063	141	15	�	�	PROPN
ejpam-1063	141	16	�	�	PROPN
ejpam-1063	141	17	−x	−x	PROPN
ejpam-1063	141	18	+	+	CCONJ
ejpam-1063	141	19	x2	x2	PROPN
ejpam-1063	141	20	+	+	CCONJ
ejpam-1063	141	21	1	1	NUM
ejpam-1063	141	22	2	2	NUM
ejpam-1063	141	23	x	x	NOUN
ejpam-1063	141	24	t2	t2	NOUN
ejpam-1063	141	25	−x	−x	NOUN
ejpam-1063	142	1	+	+	CCONJ
ejpam-1063	142	2	x2	x2	PROPN
ejpam-1063	142	3	−x	−x	NOUN
ejpam-1063	142	4	−1	−1	NOUN
ejpam-1063	142	5	2	2	NUM
ejpam-1063	142	6	x2t2	x2t2	SYM
ejpam-1063	142	7	1	1	NUM
ejpam-1063	142	8	2	2	NUM
ejpam-1063	142	9	x	x	SYM
ejpam-1063	142	10	t2	t2	NOUN
ejpam-1063	142	11	x2	x2	NOUN
ejpam-1063	143	1	−	−	NOUN
ejpam-1063	143	2	1	1	NUM
ejpam-1063	143	3	24	24	NUM
ejpam-1063	143	4	x	x	SYM
ejpam-1063	143	5	t4	t4	PROPN
ejpam-1063	143	6	−1	−1	NOUN
ejpam-1063	143	7	2	2	NUM
ejpam-1063	143	8	x2t2	x2t2	SYM
ejpam-1063	143	9	1	1	NUM
ejpam-1063	143	10	2	2	NUM
ejpam-1063	143	11	x	x	SYM
ejpam-1063	143	12	t2	t2	PROPN
ejpam-1063	143	13	�	�	PROPN
ejpam-1063	143	14	�	�	PROPN
ejpam-1063	143	15	�	�	PROPN
ejpam-1063	143	16	�	�	PROPN
ejpam-1063	143	17	�	�	PROPN
ejpam-1063	143	18	�	�	PROPN
ejpam-1063	143	19	�	�	PROPN
ejpam-1063	143	20	=	=	PUNCT
ejpam-1063	144	1	−0.2500000000x3t4	−0.2500000000x3t4	NOUN
ejpam-1063	145	1	−	−	NOUN
ejpam-1063	145	2	0.5000000000x5t2	0.5000000000x5t2	NOUN
ejpam-1063	146	1	+	+	CCONJ
ejpam-1063	146	2	0.04166666667x4t4	0.04166666667x4t4	NOUN
ejpam-1063	146	3	+0.5000000000x6t2	+0.5000000000x6t2	X
ejpam-1063	147	1	+	+	PUNCT
ejpam-1063	147	2	0.1041666667x3t6	0.1041666667x3t6	X
ejpam-1063	148	1	+	+	CCONJ
ejpam-1063	148	2	0.2083333333x5t4	0.2083333333x5t4	NUM
ejpam-1063	148	3	q2(x	q2(x	X
ejpam-1063	148	4	,	,	PUNCT
ejpam-1063	148	5	t	t	PROPN
ejpam-1063	148	6	)	)	PUNCT
ejpam-1063	148	7	=	=	SYM
ejpam-1063	148	8	�	�	PROPN
ejpam-1063	148	9	�	�	PROPN
ejpam-1063	148	10	�	�	PROPN
ejpam-1063	148	11	�	�	PROPN
ejpam-1063	148	12	�	�	PROPN
ejpam-1063	148	13	�	�	PROPN
ejpam-1063	148	14	�	�	PROPN
ejpam-1063	148	15	1	1	NUM
ejpam-1063	148	16	1	1	NUM
ejpam-1063	148	17	1	1	NUM
ejpam-1063	148	18	−1	−1	NOUN
ejpam-1063	148	19	2	2	NUM
ejpam-1063	148	20	x2t2	x2t2	SYM
ejpam-1063	148	21	1	1	NUM
ejpam-1063	148	22	2	2	NUM
ejpam-1063	148	23	x	x	SYM
ejpam-1063	148	24	t2	t2	NOUN
ejpam-1063	148	25	x2	x2	NOUN
ejpam-1063	148	26	−	−	NOUN
ejpam-1063	148	27	1	1	NUM
ejpam-1063	148	28	24	24	NUM
ejpam-1063	148	29	x	x	SYM
ejpam-1063	148	30	t4	t4	PROPN
ejpam-1063	148	31	−1	−1	NOUN
ejpam-1063	148	32	2	2	NUM
ejpam-1063	148	33	x2t2	x2t2	SYM
ejpam-1063	148	34	1	1	NUM
ejpam-1063	148	35	2	2	NUM
ejpam-1063	148	36	x	x	SYM
ejpam-1063	148	37	t2	t2	PROPN
ejpam-1063	148	38	�	�	PROPN
ejpam-1063	148	39	�	�	PROPN
ejpam-1063	148	40	�	�	PROPN
ejpam-1063	148	41	�	�	PROPN
ejpam-1063	148	42	�	�	PROPN
ejpam-1063	148	43	�	�	PROPN
ejpam-1063	148	44	�	�	PROPN
ejpam-1063	148	45	=	=	SYM
ejpam-1063	148	46	0.2500000000x4t4	0.2500000000x4t4	PROPN
ejpam-1063	148	47	+	+	CCONJ
ejpam-1063	148	48	0.5000000000x4t2	0.5000000000x4t2	NOUN
ejpam-1063	148	49	+	+	CCONJ
ejpam-1063	148	50	0.2500000000x4t4	0.2500000000x4t4	NOUN
ejpam-1063	148	51	+0.20833333333x3t4	+0.20833333333x3t4	X
ejpam-1063	148	52	+	+	CCONJ
ejpam-1063	148	53	0.0208333333x2t6	0.0208333333x2t6	NUM
ejpam-1063	148	54	r2(x	r2(x	X
ejpam-1063	148	55	,	,	PUNCT
ejpam-1063	148	56	t	t	PROPN
ejpam-1063	148	57	)	)	PUNCT
ejpam-1063	148	58	=	=	SYM
ejpam-1063	149	1	p2(x	p2(x	PROPN
ejpam-1063	149	2	,	,	PUNCT
ejpam-1063	149	3	t	t	PROPN
ejpam-1063	149	4	)	)	PUNCT
ejpam-1063	149	5	q2(x	q2(x	PROPN
ejpam-1063	149	6	,	,	PUNCT
ejpam-1063	149	7	t	t	PROPN
ejpam-1063	149	8	)	)	PUNCT
ejpam-1063	149	9	m.	m.	NOUN
ejpam-1063	149	10	yiğider	yiğider	NOUN
ejpam-1063	149	11	,	,	PUNCT
ejpam-1063	149	12	e.	e.	PROPN
ejpam-1063	149	13	çelik	çelik	PROPN
ejpam-1063	149	14	/	/	SYM
ejpam-1063	149	15	eur	eur	PROPN
ejpam-1063	149	16	.	.	PUNCT
ejpam-1063	150	1	j.	j.	PROPN
ejpam-1063	150	2	pure	pure	PROPN
ejpam-1063	150	3	appl	appl	PROPN
ejpam-1063	150	4	.	.	PROPN
ejpam-1063	150	5	math	math	PROPN
ejpam-1063	150	6	,	,	PUNCT
ejpam-1063	150	7	4	4	NUM
ejpam-1063	150	8	(	(	PUNCT
ejpam-1063	150	9	2011	2011	NUM
ejpam-1063	150	10	)	)	PUNCT
ejpam-1063	150	11	,	,	PUNCT
ejpam-1063	150	12	67	67	NUM
ejpam-1063	150	13	-	-	SYM
ejpam-1063	150	14	75	75	NUM
ejpam-1063	150	15	72	72	NUM
ejpam-1063	150	16	=	=	SYM
ejpam-1063	150	17	�	�	PROPN
ejpam-1063	150	18	−0.2500000000x3t4	−0.2500000000x3t4	PUNCT
ejpam-1063	150	19	−	−	PROPN
ejpam-1063	150	20	0.5000000000x5t2	0.5000000000x5t2	NOUN
ejpam-1063	151	1	+	+	CCONJ
ejpam-1063	151	2	0.04166666667x4t4	0.04166666667x4t4	NOUN
ejpam-1063	151	3	+0.5000000000x6t2	+0.5000000000x6t2	X
ejpam-1063	152	1	+	+	PUNCT
ejpam-1063	152	2	0.1041666667x3t6	0.1041666667x3t6	X
ejpam-1063	152	3	+	+	CCONJ
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ejpam-1063	155	1	+	+	PUNCT
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ejpam-1063	155	3	+	+	CCONJ
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ejpam-1063	155	5	�	�	PROPN
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ejpam-1063	155	18	−x	−x	PROPN
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ejpam-1063	164	9	+	+	CCONJ
ejpam-1063	164	10	x2	x2	PROPN
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ejpam-1063	188	11	0.005599006668	0.005599006668	NUM
ejpam-1063	188	12	1.10	1.10	NUM
ejpam-1063	188	13	-	-	SYM
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ejpam-1063	188	15	-0.3	-0.3	PROPN
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ejpam-1063	188	24	0.001099981667	0.001099981667	NUM
ejpam-1063	188	25	0.001099981668	0.001099981668	NUM
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ejpam-1063	188	27	-	-	SYM
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ejpam-1063	191	8	1.10	1.10	NUM
ejpam-1063	191	9	-	-	SYM
ejpam-1063	191	10	10	10	NUM
ejpam-1063	191	11	0.1	0.1	NUM
ejpam-1063	191	12	-0.08999550004	-0.08999550004	NOUN
ejpam-1063	191	13	-0.08999550002	-0.08999550002	NOUN
ejpam-1063	191	14	2.10	2.10	NUM
ejpam-1063	191	15	-	-	SYM
ejpam-1063	191	16	11	11	NUM
ejpam-1063	191	17	0.2	0.2	NUM
ejpam-1063	191	18	-0	-0	PUNCT
ejpam-1063	191	19	.	.	PUNCT
ejpam-1063	192	1	1599920001	1599920001	NUM
ejpam-1063	192	2	-0	-0	PUNCT
ejpam-1063	192	3	.	.	PUNCT
ejpam-1063	193	1	1599929999	1599929999	NUM
ejpam-1063	193	2	2.10	2.10	NUM
ejpam-1063	193	3	-	-	SYM
ejpam-1063	193	4	10	10	NUM
ejpam-1063	193	5	0.3	0.3	NUM
ejpam-1063	193	6	-0.2099895001	-0.2099895001	NOUN
ejpam-1063	193	7	-0.2099895999	-0.2099895999	NOUN
ejpam-1063	193	8	2.10	2.10	NUM
ejpam-1063	193	9	-	-	SYM
ejpam-1063	193	10	10	10	NUM
ejpam-1063	193	11	0.4	0.4	NUM
ejpam-1063	193	12	-0.2399880001	-0.2399880001	NOUN
ejpam-1063	193	13	-0.2399889999	-0.2399889999	NOUN
ejpam-1063	193	14	2.10	2.10	NUM
ejpam-1063	193	15	-	-	SYM
ejpam-1063	193	16	10	10	NUM
ejpam-1063	193	17	0.5	0.5	NUM
ejpam-1063	193	18	-0.2499875001	-0.2499875001	NOUN
ejpam-1063	193	19	-0.2499874995	-0.2499874995	NOUN
ejpam-1063	194	1	6.10	6.10	NUM
ejpam-1063	194	2	-	-	PUNCT
ejpam-1063	194	3	10table	10table	NOUN
ejpam-1063	194	4	3	3	NUM
ejpam-1063	194	5	:	:	PUNCT
ejpam-1063	194	6	comparison	comparison	NOUN
ejpam-1063	194	7	of	of	ADP
ejpam-1063	194	8	the	the	DET
ejpam-1063	194	9	numeri	numeri	PROPN
ejpam-1063	194	10	al	al	PROPN
ejpam-1063	194	11	solution	solution	NOUN
ejpam-1063	194	12	of	of	ADP
ejpam-1063	194	13	u3(x	u3(x	PROPN
ejpam-1063	194	14	,	,	PUNCT
ejpam-1063	194	15	t	t	PROPN
ejpam-1063	194	16	)	)	PUNCT
ejpam-1063	194	17	with	with	ADP
ejpam-1063	194	18	exa	exa	PROPN
ejpam-1063	194	19	t	t	PROPN
ejpam-1063	194	20	solutions	solution	NOUN
ejpam-1063	194	21	(	(	PUNCT
ejpam-1063	194	22	t	t	NOUN
ejpam-1063	194	23	=	=	NOUN
ejpam-1063	194	24	0.01	0.01	NUM
ejpam-1063	194	25	)	)	PUNCT
ejpam-1063	195	1	x	x	SYM
ejpam-1063	196	1	u3(x	u3(x	PROPN
ejpam-1063	196	2	,	,	PUNCT
ejpam-1063	196	3	t	t	PROPN
ejpam-1063	196	4	)	)	PUNCT
ejpam-1063	196	5	r3(x	r3(x	PROPN
ejpam-1063	196	6	,	,	PUNCT
ejpam-1063	196	7	t	t	PROPN
ejpam-1063	196	8	)	)	PUNCT
ejpam-1063	196	9	�	�	PROPN
ejpam-1063	196	10	�	�	PROPN
ejpam-1063	196	11	u3(x	u3(x	PROPN
ejpam-1063	196	12	,	,	PUNCT
ejpam-1063	196	13	t)−	t)−	PROPN
ejpam-1063	196	14	r3(x	r3(x	PROPN
ejpam-1063	196	15	,	,	PUNCT
ejpam-1063	196	16	t	t	PROPN
ejpam-1063	196	17	)	)	PUNCT
ejpam-1063	196	18	�	�	PROPN
ejpam-1063	196	19	�	�	PROPN
ejpam-1063	196	20	-0.5	-0.5	PROPN
ejpam-1063	196	21	0.7575376252	0.7575376252	NUM
ejpam-1063	196	22	0.7575376251	0.7575376251	NUM
ejpam-1063	196	23	1.10	1.10	NUM
ejpam-1063	196	24	-	-	SYM
ejpam-1063	196	25	10	10	NUM
ejpam-1063	196	26	-0.4	-0.4	NUM
ejpam-1063	196	27	0.5656280935	0.5656280935	NUM
ejpam-1063	196	28	0.5656280938	0.5656280938	NUM
ejpam-1063	196	29	3.10	3.10	NUM
ejpam-1063	196	30	-	-	SYM
ejpam-1063	196	31	10	10	NUM
ejpam-1063	196	32	-0.3	-0.3	NUM
ejpam-1063	196	33	0	0	NUM
ejpam-1063	196	34	.	.	NOUN
ejpam-1063	196	35	3939195651	3939195651	NUM
ejpam-1063	196	36	0	0	NUM
ejpam-1063	196	37	.	.	NOUN
ejpam-1063	197	1	3939195651	3939195651	NUM
ejpam-1063	197	2	0	0	NUM
ejpam-1063	198	1	-0.2	-0.2	NOUN
ejpam-1063	198	2	0.2424120401	0.2424120401	NUM
ejpam-1063	198	3	0.2424120401	0.2424120401	NUM
ejpam-1063	198	4	0	0	NUM
ejpam-1063	198	5	-0.1	-0.1	PROPN
ejpam-1063	198	6	0.1111055184	0.1111055184	NUM
ejpam-1063	198	7	0.1111055184	0.1111055184	NUM
ejpam-1063	198	8	0	0	NUM
ejpam-1063	198	9	0.1	0.1	NUM
ejpam-1063	198	10	-0.09090451503	-0.09090451503	NOUN
ejpam-1063	198	11	-0.09090451504	-0.09090451504	VERB
ejpam-1063	198	12	1.10	1.10	NUM
ejpam-1063	198	13	-	-	SYM
ejpam-1063	198	14	11	11	NUM
ejpam-1063	198	15	0.2	0.2	NUM
ejpam-1063	198	16	-0	-0	PUNCT
ejpam-1063	198	17	.	.	PROPN
ejpam-1063	198	18	1616080267	1616080267	NUM
ejpam-1063	198	19	-0	-0	PUNCT
ejpam-1063	198	20	.	.	PUNCT
ejpam-1063	199	1	1616080267	1616080267	NUM
ejpam-1063	199	2	0	0	NUM
ejpam-1063	199	3	0.3	0.3	NUM
ejpam-1063	199	4	-0.2121105351	-0.2121105351	NOUN
ejpam-1063	199	5	-0.2121105350	-0.2121105350	PROPN
ejpam-1063	199	6	1.10	1.10	NUM
ejpam-1063	199	7	-	-	SYM
ejpam-1063	199	8	10	10	NUM
ejpam-1063	199	9	0.4	0.4	NUM
ejpam-1063	199	10	-0.2424120401	-0.2424120401	NOUN
ejpam-1063	199	11	-0.2424120401	-0.2424120401	NOUN
ejpam-1063	199	12	0	0	NUM
ejpam-1063	199	13	0.5	0.5	NUM
ejpam-1063	199	14	-0.2525125418	-0.2525125418	NOUN
ejpam-1063	199	15	-0.2525125415	-0.2525125415	ADJ
ejpam-1063	199	16	3.10	3.10	NUM
ejpam-1063	199	17	-	-	SYM
ejpam-1063	199	18	10	10	NUM
ejpam-1063	199	19	figure	figure	NOUN
ejpam-1063	199	20	1	1	NUM
ejpam-1063	199	21	:	:	PUNCT
ejpam-1063	200	1	values	value	NOUN
ejpam-1063	200	2	of	of	ADP
ejpam-1063	200	3	u1(x	u1(x	PROPN
ejpam-1063	200	4	,	,	PUNCT
ejpam-1063	200	5	t	t	PROPN
ejpam-1063	200	6	)	)	PUNCT
ejpam-1063	200	7	and	and	CCONJ
ejpam-1063	200	8	its	its	PRON
ejpam-1063	200	9	r3,2(x	r3,2(x	PROPN
ejpam-1063	200	10	,	,	PUNCT
ejpam-1063	200	11	t	t	PROPN
ejpam-1063	200	12	)	)	PUNCT
ejpam-1063	200	13	references	reference	NOUN
ejpam-1063	200	14	74	74	NUM
ejpam-1063	200	15	figure	figure	NOUN
ejpam-1063	200	16	2	2	NUM
ejpam-1063	200	17	:	:	PUNCT
ejpam-1063	200	18	values	value	NOUN
ejpam-1063	200	19	of	of	ADP
ejpam-1063	200	20	u2(x	u2(x	PRON
ejpam-1063	200	21	,	,	PUNCT
ejpam-1063	200	22	t	t	PROPN
ejpam-1063	200	23	)	)	PUNCT
ejpam-1063	200	24	and	and	CCONJ
ejpam-1063	200	25	its	its	PRON
ejpam-1063	200	26	r3,2(x	r3,2(x	PROPN
ejpam-1063	200	27	,	,	PUNCT
ejpam-1063	200	28	t	t	PROPN
ejpam-1063	200	29	)	)	PUNCT
ejpam-1063	200	30	figure	figure	NOUN
ejpam-1063	200	31	3	3	NUM
ejpam-1063	200	32	:	:	PUNCT
ejpam-1063	200	33	values	value	NOUN
ejpam-1063	200	34	of	of	ADP
ejpam-1063	200	35	u3(x	u3(x	PROPN
ejpam-1063	200	36	,	,	PUNCT
ejpam-1063	200	37	t	t	PROPN
ejpam-1063	200	38	)	)	PUNCT
ejpam-1063	200	39	and	and	CCONJ
ejpam-1063	200	40	its	its	PRON
ejpam-1063	200	41	r3,2(x	r3,2(x	PROPN
ejpam-1063	200	42	,	,	PUNCT
ejpam-1063	200	43	t	t	PROPN
ejpam-1063	200	44	)	)	PUNCT
ejpam-1063	200	45	5	5	NUM
ejpam-1063	200	46	.	.	PUNCT
ejpam-1063	201	1	conclusions	conclusion	NOUN
ejpam-1063	201	2	the	the	DET
ejpam-1063	201	3	method	method	NOUN
ejpam-1063	201	4	has	have	AUX
ejpam-1063	201	5	proposed	propose	VERB
ejpam-1063	201	6	for	for	ADP
ejpam-1063	201	7	solving	solve	VERB
ejpam-1063	201	8	partial	partial	ADJ
ejpam-1063	201	9	differential	differential	NOUN
ejpam-1063	201	10	-	-	PUNCT
ejpam-1063	201	11	algebraic	algebraic	ADJ
ejpam-1063	201	12	equations(pdaes	equations(pdaes	PROPN
ejpam-1063	201	13	)	)	PUNCT
ejpam-1063	201	14	.	.	PUNCT
ejpam-1063	202	1	the	the	DET
ejpam-1063	202	2	results	result	NOUN
ejpam-1063	202	3	of	of	ADP
ejpam-1063	202	4	example	example	NOUN
ejpam-1063	202	5	showed	show	VERB
ejpam-1063	202	6	that	that	SCONJ
ejpam-1063	202	7	exactly	exactly	ADV
ejpam-1063	202	8	the	the	DET
ejpam-1063	202	9	same	same	ADJ
ejpam-1063	202	10	solutions	solution	NOUN
ejpam-1063	202	11	have	have	AUX
ejpam-1063	202	12	been	be	AUX
ejpam-1063	202	13	obtained	obtain	VERB
ejpam-1063	202	14	with	with	ADP
ejpam-1063	202	15	multivarite	multivarite	ADJ
ejpam-1063	202	16	padé	padé	NOUN
ejpam-1063	202	17	approximation	approximation	NOUN
ejpam-1063	202	18	.	.	PUNCT
ejpam-1063	203	1	on	on	ADP
ejpam-1063	203	2	the	the	DET
ejpam-1063	203	3	other	other	ADJ
ejpam-1063	203	4	hand	hand	NOUN
ejpam-1063	203	5	the	the	DET
ejpam-1063	203	6	results	result	NOUN
ejpam-1063	203	7	are	be	AUX
ejpam-1063	203	8	quite	quite	ADV
ejpam-1063	203	9	reliable	reliable	ADJ
ejpam-1063	203	10	.	.	PUNCT
ejpam-1063	204	1	therefore	therefore	ADV
ejpam-1063	204	2	,	,	PUNCT
ejpam-1063	204	3	this	this	DET
ejpam-1063	204	4	method	method	NOUN
ejpam-1063	204	5	can	can	AUX
ejpam-1063	204	6	be	be	AUX
ejpam-1063	204	7	applied	apply	VERB
ejpam-1063	204	8	to	to	ADP
ejpam-1063	204	9	many	many	ADJ
ejpam-1063	204	10	complicated	complicated	ADJ
ejpam-1063	204	11	partial	partial	ADJ
ejpam-1063	204	12	differential	differential	NOUN
ejpam-1063	204	13	-	-	PUNCT
ejpam-1063	204	14	algebraic	algebraic	ADJ
ejpam-1063	204	15	equations(pdaes	equations(pdaes	PROPN
ejpam-1063	204	16	)	)	PUNCT
ejpam-1063	204	17	.	.	PUNCT
ejpam-1063	205	1	references	reference	NOUN
ejpam-1063	205	2	[	[	X
ejpam-1063	205	3	1	1	NUM
ejpam-1063	205	4	]	]	PUNCT
ejpam-1063	205	5	g	g	NOUN
ejpam-1063	205	6	adomian	adomian	NOUN
ejpam-1063	205	7	.	.	PUNCT
ejpam-1063	206	1	convergent	convergent	NOUN
ejpam-1063	206	2	series	series	NOUN
ejpam-1063	206	3	solution	solution	NOUN
ejpam-1063	206	4	of	of	ADP
ejpam-1063	206	5	nonlinear	nonlinear	ADJ
ejpam-1063	206	6	equations	equation	NOUN
ejpam-1063	206	7	,	,	PUNCT
ejpam-1063	206	8	journal	journal	NOUN
ejpam-1063	206	9	of	of	ADP
ejpam-1063	206	10	computational	computational	ADJ
ejpam-1063	206	11	and	and	CCONJ
ejpam-1063	206	12	applied	applied	ADJ
ejpam-1063	206	13	mathematits	mathematit	NOUN
ejpam-1063	206	14	,	,	PUNCT
ejpam-1063	206	15	11	11	NUM
ejpam-1063	206	16	,	,	PUNCT
ejpam-1063	206	17	225	225	NUM
ejpam-1063	206	18	-	-	SYM
ejpam-1063	206	19	230,1984	230,1984	NUM
ejpam-1063	206	20	.	.	PUNCT
ejpam-1063	207	1	[	[	X
ejpam-1063	207	2	2	2	NUM
ejpam-1063	207	3	]	]	X
ejpam-1063	207	4	f	f	PROPN
ejpam-1063	207	5	ayaz	ayaz	PROPN
ejpam-1063	207	6	.	.	PUNCT
ejpam-1063	208	1	on	on	ADP
ejpam-1063	208	2	the	the	DET
ejpam-1063	208	3	two	two	NUM
ejpam-1063	208	4	-	-	PUNCT
ejpam-1063	208	5	dimensional	dimensional	ADJ
ejpam-1063	208	6	differential	differential	ADJ
ejpam-1063	208	7	transform	transform	NOUN
ejpam-1063	208	8	method	method	NOUN
ejpam-1063	208	9	,	,	PUNCT
ejpam-1063	208	10	applied	apply	VERB
ejpam-1063	208	11	mathematics	mathematic	NOUN
ejpam-1063	208	12	and	and	CCONJ
ejpam-1063	208	13	computation	computation	NOUN
ejpam-1063	208	14	,	,	PUNCT
ejpam-1063	208	15	143:361	143:361	PROPN
ejpam-1063	208	16	-	-	PUNCT
ejpam-1063	208	17	374,2003	374,2003	NOUN
ejpam-1063	208	18	.	.	PUNCT
ejpam-1063	209	1	[	[	X
ejpam-1063	209	2	3	3	X
ejpam-1063	209	3	]	]	X
ejpam-1063	209	4	f	f	PROPN
ejpam-1063	209	5	ayaz	ayaz	PROPN
ejpam-1063	209	6	.	.	PUNCT
ejpam-1063	210	1	solutions	solution	NOUN
ejpam-1063	210	2	of	of	ADP
ejpam-1063	210	3	the	the	DET
ejpam-1063	210	4	system	system	NOUN
ejpam-1063	210	5	of	of	ADP
ejpam-1063	210	6	differential	differential	ADJ
ejpam-1063	210	7	equations	equation	NOUN
ejpam-1063	210	8	by	by	ADP
ejpam-1063	210	9	differential	differential	ADJ
ejpam-1063	210	10	transform	transform	NOUN
ejpam-1063	210	11	method	method	NOUN
ejpam-1063	210	12	,	,	PUNCT
ejpam-1063	210	13	applied	apply	VERB
ejpam-1063	210	14	mathematics	mathematic	NOUN
ejpam-1063	210	15	and	and	CCONJ
ejpam-1063	210	16	computation	computation	NOUN
ejpam-1063	210	17	,	,	PUNCT
ejpam-1063	210	18	147:547	147:547	NOUN
ejpam-1063	210	19	-	-	SYM
ejpam-1063	210	20	567,2004	567,2004	NUM
ejpam-1063	210	21	.	.	PUNCT
ejpam-1063	211	1	references	reference	NOUN
ejpam-1063	211	2	75	75	NUM
ejpam-1063	212	1	[	[	X
ejpam-1063	212	2	4	4	NUM
ejpam-1063	212	3	]	]	PUNCT
ejpam-1063	212	4	n	n	PRON
ejpam-1063	212	5	bildik	bildik	VERB
ejpam-1063	212	6	,	,	PUNCT
ejpam-1063	212	7	a	a	DET
ejpam-1063	212	8	konuralp	konuralp	NOUN
ejpam-1063	212	9	.	.	PUNCT
ejpam-1063	213	1	two	two	NUM
ejpam-1063	213	2	-	-	PUNCT
ejpam-1063	213	3	dimensional	dimensional	ADJ
ejpam-1063	213	4	differential	differential	ADJ
ejpam-1063	213	5	transform	transform	NOUN
ejpam-1063	213	6	method	method	NOUN
ejpam-1063	213	7	,	,	PUNCT
ejpam-1063	213	8	adomian	adomian	NOUN
ejpam-1063	213	9	’s	’s	PART
ejpam-1063	213	10	decompostion	decompostion	NOUN
ejpam-1063	213	11	method	method	NOUN
ejpam-1063	213	12	and	and	CCONJ
ejpam-1063	213	13	variational	variational	ADJ
ejpam-1063	213	14	iteration	iteration	NOUN
ejpam-1063	213	15	method	method	NOUN
ejpam-1063	213	16	for	for	ADP
ejpam-1063	213	17	partial	partial	ADJ
ejpam-1063	213	18	differential	differential	NOUN
ejpam-1063	213	19	equations	equation	NOUN
ejpam-1063	213	20	,	,	PUNCT
ejpam-1063	213	21	international	international	ADJ
ejpam-1063	213	22	journal	journal	NOUN
ejpam-1063	213	23	of	of	ADP
ejpam-1063	213	24	computer	computer	NOUN
ejpam-1063	213	25	mathematics	mathematic	NOUN
ejpam-1063	213	26	,	,	PUNCT
ejpam-1063	213	27	vol.83	vol.83	ADJ
ejpam-1063	213	28	,	,	PUNCT
ejpam-1063	213	29	12:973	12:973	NUM
ejpam-1063	213	30	-	-	SYM
ejpam-1063	213	31	987,2006	987,2006	NUM
ejpam-1063	213	32	.	.	PUNCT
ejpam-1063	214	1	[	[	X
ejpam-1063	214	2	5	5	NUM
ejpam-1063	214	3	]	]	PUNCT
ejpam-1063	214	4	a	a	DET
ejpam-1063	214	5	cuyt	cuyt	NOUN
ejpam-1063	214	6	,	,	PUNCT
ejpam-1063	214	7	l	l	NOUN
ejpam-1063	214	8	wuytack	wuytack	NOUN
ejpam-1063	214	9	.	.	PUNCT
ejpam-1063	215	1	nonlinear	nonlinear	ADJ
ejpam-1063	215	2	methods	method	NOUN
ejpam-1063	215	3	in	in	ADP
ejpam-1063	215	4	numerical	numerical	ADJ
ejpam-1063	215	5	analysis	analysis	NOUN
ejpam-1063	215	6	,	,	PUNCT
ejpam-1063	215	7	amsterdam,1987	amsterdam,1987	NOUN
ejpam-1063	215	8	.	.	PUNCT
ejpam-1063	216	1	[	[	X
ejpam-1063	216	2	6	6	NUM
ejpam-1063	216	3	]	]	PUNCT
ejpam-1063	216	4	w	w	NOUN
ejpam-1063	216	5	lucht	lucht	PROPN
ejpam-1063	216	6	,	,	PUNCT
ejpam-1063	216	7	k	k	PROPN
ejpam-1063	216	8	strehmel	strehmel	PROPN
ejpam-1063	216	9	,	,	PUNCT
ejpam-1063	216	10	c	c	PROPN
ejpam-1063	216	11	e	e	NOUN
ejpam-1063	216	12	liebenow	liebenow	NOUN
ejpam-1063	216	13	.	.	PUNCT
ejpam-1063	217	1	linear	linear	ADJ
ejpam-1063	217	2	partial	partial	ADJ
ejpam-1063	217	3	differential	differential	ADJ
ejpam-1063	217	4	-	-	PUNCT
ejpam-1063	217	5	algebraic	algebraic	ADJ
ejpam-1063	217	6	equations	equation	NOUN
ejpam-1063	217	7	,	,	PUNCT
ejpam-1063	217	8	part	part	NOUN
ejpam-1063	217	9	i	i	PROPN
ejpam-1063	217	10	,	,	PUNCT
ejpam-1063	217	11	reports	report	NOUN
ejpam-1063	217	12	of	of	ADP
ejpam-1063	217	13	the	the	DET
ejpam-1063	217	14	institute	institute	PROPN
ejpam-1063	217	15	of	of	ADP
ejpam-1063	217	16	numerical	numerical	PROPN
ejpam-1063	217	17	mathematics	mathematics	PROPN
ejpam-1063	217	18	,	,	PUNCT
ejpam-1063	217	19	report	report	VERB
ejpam-1063	217	20	no	no	INTJ
ejpam-1063	217	21	.	.	PUNCT
ejpam-1063	218	1	17,1997	17,1997	NOUN
ejpam-1063	218	2	.	.	PUNCT
ejpam-1063	219	1	[	[	X
ejpam-1063	219	2	7	7	X
ejpam-1063	219	3	]	]	X
ejpam-1063	219	4	w	w	NOUN
ejpam-1063	219	5	lucht	lucht	PROPN
ejpam-1063	219	6	,	,	PUNCT
ejpam-1063	219	7	k	k	PROPN
ejpam-1063	219	8	strehmel	strehmel	PROPN
ejpam-1063	219	9	,	,	PUNCT
ejpam-1063	219	10	c	c	PROPN
ejpam-1063	219	11	e	e	NOUN
ejpam-1063	219	12	liebenow	liebenow	NOUN
ejpam-1063	219	13	.	.	PUNCT
ejpam-1063	220	1	linear	linear	ADJ
ejpam-1063	220	2	partial	partial	ADJ
ejpam-1063	220	3	differential	differential	ADJ
ejpam-1063	220	4	-	-	PUNCT
ejpam-1063	220	5	algebraic	algebraic	ADJ
ejpam-1063	220	6	equations	equation	NOUN
ejpam-1063	220	7	,	,	PUNCT
ejpam-1063	220	8	part	part	PROPN
ejpam-1063	220	9	ii	ii	PROPN
ejpam-1063	220	10	,	,	PUNCT
ejpam-1063	220	11	reports	report	NOUN
ejpam-1063	220	12	of	of	ADP
ejpam-1063	220	13	the	the	DET
ejpam-1063	220	14	institute	institute	PROPN
ejpam-1063	220	15	of	of	ADP
ejpam-1063	220	16	numerical	numerical	PROPN
ejpam-1063	220	17	mathematics	mathematics	PROPN
ejpam-1063	220	18	,	,	PUNCT
ejpam-1063	220	19	report	report	VERB
ejpam-1063	220	20	no	no	INTJ
ejpam-1063	220	21	.	.	PROPN
ejpam-1063	220	22	18	18	NUM
ejpam-1063	220	23	,	,	PUNCT
ejpam-1063	220	24	1997	1997	NUM
ejpam-1063	220	25	,	,	PUNCT
ejpam-1063	220	26	[	[	X
ejpam-1063	220	27	8	8	NUM
ejpam-1063	220	28	]	]	X
ejpam-1063	220	29	k	k	X
ejpam-1063	220	30	strehmel	strehmel	PROPN
ejpam-1063	220	31	,	,	PUNCT
ejpam-1063	220	32	k	k	PROPN
ejpam-1063	220	33	debrabant	debrabant	PROPN
ejpam-1063	220	34	.	.	PUNCT
ejpam-1063	221	1	convergence	convergence	NOUN
ejpam-1063	221	2	of	of	ADP
ejpam-1063	221	3	runge	runge	NOUN
ejpam-1063	221	4	-	-	PUNCT
ejpam-1063	221	5	kutta	kutta	NOUN
ejpam-1063	221	6	methods	method	NOUN
ejpam-1063	221	7	applied	apply	VERB
ejpam-1063	221	8	to	to	AUX
ejpam-1063	221	9	linear	linear	VERB
ejpam-1063	221	10	partial	partial	ADJ
ejpam-1063	221	11	differential	differential	ADJ
ejpam-1063	221	12	-	-	PUNCT
ejpam-1063	221	13	algebraic	algebraic	ADJ
ejpam-1063	221	14	equations	equation	NOUN
ejpam-1063	221	15	,	,	PUNCT
ejpam-1063	221	16	applied	apply	VERB
ejpam-1063	221	17	numerical	numerical	ADJ
ejpam-1063	221	18	mathematics	mathematic	NOUN
ejpam-1063	221	19	,	,	PUNCT
ejpam-1063	221	20	53:213	53:213	NUM
ejpam-1063	221	21	-	-	SYM
ejpam-1063	221	22	229	229	NUM
ejpam-1063	221	23	,	,	PUNCT
ejpam-1063	221	24	2005	2005	NUM
ejpam-1063	221	25	,	,	PUNCT
ejpam-1063	222	1	[	[	X
ejpam-1063	222	2	9	9	NUM
ejpam-1063	222	3	]	]	X
ejpam-1063	222	4	j	j	PROPN
ejpam-1063	222	5	k	k	PROPN
ejpam-1063	222	6	zhou	zhou	PROPN
ejpam-1063	222	7	.	.	PUNCT
ejpam-1063	222	8	differential	differential	ADJ
ejpam-1063	222	9	transform	transform	NOUN
ejpam-1063	222	10	and	and	CCONJ
ejpam-1063	222	11	its	its	PRON
ejpam-1063	222	12	applications	application	NOUN
ejpam-1063	222	13	for	for	ADP
ejpam-1063	222	14	electrical	electrical	ADJ
ejpam-1063	222	15	circuits	circuit	NOUN
ejpam-1063	222	16	(	(	PUNCT
ejpam-1063	222	17	wuhan	wuhan	PROPN
ejpam-1063	222	18	:	:	PUNCT
ejpam-1063	222	19	huarjung	huarjung	PROPN
ejpam-1063	222	20	university	university	PROPN
ejpam-1063	222	21	press	press	PROPN
ejpam-1063	222	22	)	)	PUNCT
ejpam-1063	222	23	,	,	PUNCT
ejpam-1063	222	24	1986	1986	NUM