id	sid	tid	token	lemma	pos
ejpam-459	1	1	8_459_alagoz.dvi	8_459_alagoz.dvi	NUM
ejpam-459	1	2	european	european	ADJ
ejpam-459	1	3	journal	journal	PROPN
ejpam-459	1	4	of	of	ADP
ejpam-459	1	5	pure	pure	ADJ
ejpam-459	1	6	and	and	CCONJ
ejpam-459	1	7	applied	apply	VERB
ejpam-459	1	8	mathematics	mathematic	NOUN
ejpam-459	1	9	vol	vol	NOUN
ejpam-459	1	10	.	.	PROPN
ejpam-459	2	1	2	2	NUM
ejpam-459	2	2	,	,	PUNCT
ejpam-459	2	3	no	no	INTJ
ejpam-459	2	4	.	.	NOUN
ejpam-459	2	5	4	4	NUM
ejpam-459	2	6	,	,	PUNCT
ejpam-459	2	7	2009	2009	NUM
ejpam-459	2	8	,	,	PUNCT
ejpam-459	2	9	(	(	PUNCT
ejpam-459	2	10	564	564	NUM
ejpam-459	2	11	-	-	SYM
ejpam-459	2	12	573	573	NUM
ejpam-459	2	13	)	)	PUNCT
ejpam-459	2	14	issn	issn	PROPN
ejpam-459	2	15	1307	1307	NUM
ejpam-459	2	16	-	-	SYM
ejpam-459	2	17	5543	5543	NUM
ejpam-459	2	18	–	–	PUNCT
ejpam-459	2	19	www.ejpam.com	www.ejpam.com	X
ejpam-459	2	20	on	on	ADP
ejpam-459	2	21	the	the	DET
ejpam-459	2	22	transformations	transformation	NOUN
ejpam-459	2	23	preserving	preserve	VERB
ejpam-459	2	24	asymptotic	asymptotic	ADJ
ejpam-459	2	25	directions	direction	NOUN
ejpam-459	2	26	of	of	ADP
ejpam-459	2	27	hypersurfaces	hypersurface	NOUN
ejpam-459	2	28	in	in	ADP
ejpam-459	2	29	the	the	DET
ejpam-459	2	30	euclidean	euclidean	ADJ
ejpam-459	2	31	space	space	NOUN
ejpam-459	2	32	yasemin	yasemin	PROPN
ejpam-459	2	33	alagöz∗	alagöz∗	PROPN
ejpam-459	2	34	and	and	CCONJ
ejpam-459	2	35	ziya	ziya	PROPN
ejpam-459	2	36	soyuçok	soyuçok	ADJ
ejpam-459	2	37	department	department	PROPN
ejpam-459	2	38	of	of	ADP
ejpam-459	2	39	mathematics	mathematic	NOUN
ejpam-459	2	40	,	,	PUNCT
ejpam-459	2	41	faculty	faculty	NOUN
ejpam-459	2	42	of	of	ADP
ejpam-459	2	43	science	science	NOUN
ejpam-459	2	44	and	and	CCONJ
ejpam-459	2	45	letters	letter	NOUN
ejpam-459	2	46	,	,	PUNCT
ejpam-459	2	47	yildiz	yildiz	PROPN
ejpam-459	2	48	technical	technical	PROPN
ejpam-459	2	49	university	university	PROPN
ejpam-459	2	50	,	,	PUNCT
ejpam-459	2	51	istanbul	istanbul	PROPN
ejpam-459	2	52	,	,	PUNCT
ejpam-459	2	53	turkey	turkey	PROPN
ejpam-459	2	54	abstract	abstract	NOUN
ejpam-459	2	55	.	.	PUNCT
ejpam-459	3	1	we	we	PRON
ejpam-459	3	2	consider	consider	VERB
ejpam-459	3	3	the	the	DET
ejpam-459	3	4	transformations	transformation	NOUN
ejpam-459	3	5	preserving	preserve	VERB
ejpam-459	3	6	asymptotic	asymptotic	ADJ
ejpam-459	3	7	directions	direction	NOUN
ejpam-459	3	8	of	of	ADP
ejpam-459	3	9	hypersurfaces	hypersurface	NOUN
ejpam-459	3	10	in	in	ADP
ejpam-459	3	11	n	n	ADV
ejpam-459	3	12	-	-	PUNCT
ejpam-459	3	13	dimensional	dimensional	ADJ
ejpam-459	3	14	euclidean	euclidean	ADJ
ejpam-459	3	15	space	space	NOUN
ejpam-459	3	16	and	and	CCONJ
ejpam-459	3	17	we	we	PRON
ejpam-459	3	18	obtain	obtain	VERB
ejpam-459	3	19	a	a	DET
ejpam-459	3	20	system	system	NOUN
ejpam-459	3	21	of	of	ADP
ejpam-459	3	22	equations	equation	NOUN
ejpam-459	3	23	which	which	PRON
ejpam-459	3	24	must	must	AUX
ejpam-459	3	25	be	be	AUX
ejpam-459	3	26	satisfied	satisfy	VERB
ejpam-459	3	27	by	by	ADP
ejpam-459	3	28	transformations	transformation	NOUN
ejpam-459	3	29	.	.	PUNCT
ejpam-459	4	1	2000	2000	NUM
ejpam-459	4	2	mathematics	mathematic	NOUN
ejpam-459	4	3	subject	subject	NOUN
ejpam-459	4	4	classifications	classification	NOUN
ejpam-459	4	5	:	:	PUNCT
ejpam-459	4	6	53a05	53a05	NUM
ejpam-459	4	7	.	.	PUNCT
ejpam-459	5	1	key	key	ADJ
ejpam-459	5	2	words	word	NOUN
ejpam-459	5	3	and	and	CCONJ
ejpam-459	5	4	phrases	phrase	NOUN
ejpam-459	5	5	:	:	PUNCT
ejpam-459	5	6	hypersurfaces	hypersurface	NOUN
ejpam-459	5	7	,	,	PUNCT
ejpam-459	5	8	asymptotic	asymptotic	ADJ
ejpam-459	5	9	directions	direction	NOUN
ejpam-459	5	10	.	.	PUNCT
ejpam-459	6	1	1	1	X
ejpam-459	6	2	.	.	X
ejpam-459	6	3	introduction	introduction	NOUN
ejpam-459	6	4	in	in	ADP
ejpam-459	6	5	the	the	DET
ejpam-459	6	6	euclidean	euclidean	ADJ
ejpam-459	6	7	space	space	NOUN
ejpam-459	6	8	,	,	PUNCT
ejpam-459	6	9	the	the	DET
ejpam-459	6	10	projective	projective	ADJ
ejpam-459	6	11	transformation	transformation	NOUN
ejpam-459	6	12	preserves	preserve	VERB
ejpam-459	6	13	the	the	DET
ejpam-459	6	14	asymptotic	asymptotic	ADJ
ejpam-459	6	15	lines	line	NOUN
ejpam-459	6	16	of	of	ADP
ejpam-459	6	17	a	a	DET
ejpam-459	6	18	surface	surface	NOUN
ejpam-459	7	1	[	[	X
ejpam-459	7	2	3	3	NUM
ejpam-459	7	3	]	]	PUNCT
ejpam-459	7	4	.	.	PUNCT
ejpam-459	8	1	in	in	ADP
ejpam-459	8	2	[	[	X
ejpam-459	8	3	4	4	X
ejpam-459	8	4	]	]	X
ejpam-459	8	5	the	the	DET
ejpam-459	8	6	inverse	inverse	NOUN
ejpam-459	8	7	of	of	ADP
ejpam-459	8	8	that	that	DET
ejpam-459	8	9	problem	problem	NOUN
ejpam-459	8	10	is	be	AUX
ejpam-459	8	11	considered	consider	VERB
ejpam-459	8	12	and	and	CCONJ
ejpam-459	8	13	it	it	PRON
ejpam-459	8	14	is	be	AUX
ejpam-459	8	15	obtained	obtain	VERB
ejpam-459	8	16	that	that	SCONJ
ejpam-459	8	17	the	the	DET
ejpam-459	8	18	most	most	ADJ
ejpam-459	8	19	transformation	transformation	NOUN
ejpam-459	8	20	preserving	preserve	VERB
ejpam-459	8	21	the	the	DET
ejpam-459	8	22	asymptotic	asymptotic	ADJ
ejpam-459	8	23	lines	line	NOUN
ejpam-459	8	24	of	of	ADP
ejpam-459	8	25	surfaces	surface	NOUN
ejpam-459	8	26	in	in	ADP
ejpam-459	8	27	3	3	NUM
ejpam-459	8	28	-	-	PUNCT
ejpam-459	8	29	dimensional	dimensional	ADJ
ejpam-459	8	30	euclidean	euclidean	ADJ
ejpam-459	8	31	space	space	NOUN
ejpam-459	8	32	is	be	AUX
ejpam-459	8	33	the	the	DET
ejpam-459	8	34	projective	projective	ADJ
ejpam-459	8	35	one	one	NUM
ejpam-459	8	36	.	.	PUNCT
ejpam-459	9	1	but	but	CCONJ
ejpam-459	9	2	that	that	DET
ejpam-459	9	3	paper	paper	NOUN
ejpam-459	9	4	has	have	VERB
ejpam-459	9	5	very	very	ADV
ejpam-459	9	6	long	long	ADJ
ejpam-459	9	7	∗corresponding	∗corresponde	VERB
ejpam-459	9	8	author	author	NOUN
ejpam-459	9	9	.	.	PUNCT
ejpam-459	10	1	email	email	NOUN
ejpam-459	10	2	addresses	address	NOUN
ejpam-459	10	3	:	:	PUNCT
ejpam-459	10	4	ygulluk�yildiz.edu.tr	ygulluk�yildiz.edu.tr	PROPN
ejpam-459	10	5	(	(	PUNCT
ejpam-459	10	6	y.	y.	NOUN
ejpam-459	10	7	alagöz	alagöz	PROPN
ejpam-459	10	8	)	)	PUNCT
ejpam-459	10	9	,	,	PUNCT
ejpam-459	10	10	zsoyu	zsoyu	NOUN
ejpam-459	10	11	ok�yildiz.edu.tr	ok�yildiz.edu.tr	X
ejpam-459	10	12	(	(	PUNCT
ejpam-459	10	13	z.	z.	PROPN
ejpam-459	10	14	soyuçok	soyuçok	ADJ
ejpam-459	10	15	)	)	PUNCT
ejpam-459	10	16	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-459	11	1	564	564	NUM
ejpam-459	11	2	c	c	NOUN
ejpam-459	11	3	©	©	PROPN
ejpam-459	11	4	2009	2009	NUM
ejpam-459	11	5	ejpam	ejpam	NOUN
ejpam-459	11	6	all	all	DET
ejpam-459	11	7	rights	right	NOUN
ejpam-459	11	8	reserved	reserve	VERB
ejpam-459	11	9	.	.	PUNCT
ejpam-459	12	1	y.	y.	PROPN
ejpam-459	12	2	alagöz	alagöz	PROPN
ejpam-459	12	3	and	and	CCONJ
ejpam-459	12	4	z.	z.	PROPN
ejpam-459	12	5	soyuçok	soyuçok	ADJ
ejpam-459	12	6	/	/	SYM
ejpam-459	12	7	eur	eur	PROPN
ejpam-459	12	8	.	.	PUNCT
ejpam-459	13	1	j.	j.	PROPN
ejpam-459	13	2	pure	pure	PROPN
ejpam-459	13	3	appl	appl	PROPN
ejpam-459	13	4	.	.	PROPN
ejpam-459	13	5	math	math	PROPN
ejpam-459	13	6	,	,	PUNCT
ejpam-459	13	7	2	2	NUM
ejpam-459	13	8	(	(	PUNCT
ejpam-459	13	9	2009	2009	NUM
ejpam-459	13	10	)	)	PUNCT
ejpam-459	13	11	,	,	PUNCT
ejpam-459	13	12	(	(	PUNCT
ejpam-459	13	13	564	564	NUM
ejpam-459	13	14	-	-	SYM
ejpam-459	13	15	573	573	NUM
ejpam-459	13	16	)	)	PUNCT
ejpam-459	13	17	565	565	NUM
ejpam-459	13	18	calculations	calculation	NOUN
ejpam-459	13	19	and	and	CCONJ
ejpam-459	13	20	it	it	PRON
ejpam-459	13	21	seems	seem	VERB
ejpam-459	13	22	very	very	ADV
ejpam-459	13	23	difficult	difficult	ADJ
ejpam-459	13	24	to	to	PART
ejpam-459	13	25	generalize	generalize	VERB
ejpam-459	13	26	for	for	ADP
ejpam-459	13	27	the	the	DET
ejpam-459	13	28	n	n	ADV
ejpam-459	13	29	-	-	PUNCT
ejpam-459	13	30	dimensional	dimensional	ADJ
ejpam-459	13	31	space	space	NOUN
ejpam-459	13	32	by	by	ADP
ejpam-459	13	33	using	use	VERB
ejpam-459	13	34	given	give	VERB
ejpam-459	13	35	method	method	NOUN
ejpam-459	13	36	.	.	PUNCT
ejpam-459	14	1	moreover	moreover	ADV
ejpam-459	14	2	,	,	PUNCT
ejpam-459	14	3	since	since	SCONJ
ejpam-459	14	4	it	it	PRON
ejpam-459	14	5	has	have	VERB
ejpam-459	14	6	some	some	DET
ejpam-459	14	7	errors	error	NOUN
ejpam-459	14	8	that	that	SCONJ
ejpam-459	14	9	transformation	transformation	NOUN
ejpam-459	14	10	is	be	AUX
ejpam-459	14	11	not	not	PART
ejpam-459	14	12	the	the	DET
ejpam-459	14	13	general	general	ADJ
ejpam-459	14	14	projective	projective	ADJ
ejpam-459	14	15	transformation	transformation	NOUN
ejpam-459	15	1	[	[	X
ejpam-459	15	2	1	1	NUM
ejpam-459	15	3	]	]	PUNCT
ejpam-459	15	4	.	.	PUNCT
ejpam-459	16	1	in	in	ADP
ejpam-459	16	2	this	this	DET
ejpam-459	16	3	paper	paper	NOUN
ejpam-459	16	4	,	,	PUNCT
ejpam-459	16	5	we	we	PRON
ejpam-459	16	6	consider	consider	VERB
ejpam-459	16	7	the	the	DET
ejpam-459	16	8	transformations	transformation	NOUN
ejpam-459	16	9	which	which	PRON
ejpam-459	16	10	preserve	preserve	VERB
ejpam-459	16	11	the	the	DET
ejpam-459	16	12	asymptotic	asymptotic	ADJ
ejpam-459	16	13	directions	direction	NOUN
ejpam-459	16	14	of	of	ADP
ejpam-459	16	15	hypersurfaces	hypersurface	NOUN
ejpam-459	16	16	in	in	ADP
ejpam-459	16	17	n	n	ADV
ejpam-459	16	18	-	-	PUNCT
ejpam-459	16	19	dimensional	dimensional	ADJ
ejpam-459	16	20	euclidean	euclidean	ADJ
ejpam-459	16	21	space	space	NOUN
ejpam-459	16	22	and	and	CCONJ
ejpam-459	16	23	we	we	PRON
ejpam-459	16	24	obtain	obtain	VERB
ejpam-459	16	25	a	a	DET
ejpam-459	16	26	system	system	NOUN
ejpam-459	16	27	of	of	ADP
ejpam-459	16	28	equations	equation	NOUN
ejpam-459	16	29	.	.	PUNCT
ejpam-459	17	1	the	the	DET
ejpam-459	17	2	transformations	transformation	NOUN
ejpam-459	17	3	must	must	AUX
ejpam-459	17	4	satisfy	satisfy	VERB
ejpam-459	17	5	these	these	DET
ejpam-459	17	6	equations	equation	NOUN
ejpam-459	17	7	system	system	NOUN
ejpam-459	17	8	.	.	PUNCT
ejpam-459	18	1	2	2	X
ejpam-459	18	2	.	.	X
ejpam-459	18	3	the	the	DET
ejpam-459	18	4	equation	equation	NOUN
ejpam-459	18	5	of	of	ADP
ejpam-459	18	6	the	the	DET
ejpam-459	18	7	asymptotic	asymptotic	ADJ
ejpam-459	18	8	directions	direction	NOUN
ejpam-459	18	9	of	of	ADP
ejpam-459	18	10	a	a	DET
ejpam-459	18	11	hypersurface	hypersurface	NOUN
ejpam-459	18	12	in	in	ADP
ejpam-459	18	13	the	the	DET
ejpam-459	18	14	n	n	ADV
ejpam-459	18	15	-	-	PUNCT
ejpam-459	18	16	dimensional	dimensional	ADJ
ejpam-459	18	17	euclidean	euclidean	ADJ
ejpam-459	18	18	space	space	NOUN
ejpam-459	18	19	,	,	PUNCT
ejpam-459	18	20	a	a	DET
ejpam-459	18	21	hypersurface	hypersurface	NOUN
ejpam-459	18	22	can	can	AUX
ejpam-459	18	23	be	be	AUX
ejpam-459	18	24	expressed	express	VERB
ejpam-459	18	25	by	by	ADP
ejpam-459	18	26	the	the	DET
ejpam-459	18	27	equation	equation	NOUN
ejpam-459	18	28	r	r	NOUN
ejpam-459	18	29	�	�	PROPN
ejpam-459	18	30	u1	u1	NOUN
ejpam-459	18	31	,	,	PUNCT
ejpam-459	18	32	.	.	PUNCT
ejpam-459	18	33	.	.	PUNCT
ejpam-459	19	1	.	.	PUNCT
ejpam-459	20	1	,	,	PUNCT
ejpam-459	20	2	un−1	un−1	PROPN
ejpam-459	20	3	�	�	PROPN
ejpam-459	20	4	=	=	SYM
ejpam-459	20	5	(	(	PUNCT
ejpam-459	20	6	x1	x1	PROPN
ejpam-459	20	7	�	�	PROPN
ejpam-459	20	8	u1	u1	PROPN
ejpam-459	20	9	,	,	PUNCT
ejpam-459	20	10	.	.	PUNCT
ejpam-459	20	11	.	.	PUNCT
ejpam-459	20	12	.	.	PUNCT
ejpam-459	21	1	,	,	PUNCT
ejpam-459	21	2	un−1	un−1	PROPN
ejpam-459	21	3	�	�	PROPN
ejpam-459	21	4	,	,	PUNCT
ejpam-459	21	5	x2	x2	PROPN
ejpam-459	21	6	�	�	PROPN
ejpam-459	21	7	u1	u1	PROPN
ejpam-459	21	8	,	,	PUNCT
ejpam-459	21	9	.	.	PUNCT
ejpam-459	21	10	.	.	PUNCT
ejpam-459	21	11	.	.	PUNCT
ejpam-459	22	1	,	,	PUNCT
ejpam-459	22	2	un−1	un−1	PROPN
ejpam-459	22	3	�	�	PROPN
ejpam-459	22	4	,	,	PUNCT
ejpam-459	22	5	.	.	PUNCT
ejpam-459	22	6	.	.	PUNCT
ejpam-459	22	7	.	.	PUNCT
ejpam-459	23	1	,	,	PUNCT
ejpam-459	23	2	x	x	X
ejpam-459	23	3	n	n	DET
ejpam-459	23	4	�	�	PROPN
ejpam-459	23	5	u1	u1	NOUN
ejpam-459	23	6	,	,	PUNCT
ejpam-459	23	7	.	.	PUNCT
ejpam-459	23	8	.	.	PUNCT
ejpam-459	23	9	.	.	PUNCT
ejpam-459	24	1	,	,	PUNCT
ejpam-459	24	2	un−1	un−1	PROPN
ejpam-459	24	3	�	�	PROPN
ejpam-459	24	4	)	)	PUNCT
ejpam-459	24	5	(	(	PUNCT
ejpam-459	24	6	1	1	X
ejpam-459	24	7	)	)	PUNCT
ejpam-459	24	8	where	where	SCONJ
ejpam-459	24	9	the	the	DET
ejpam-459	24	10	metric	metric	NOUN
ejpam-459	24	11	of	of	ADP
ejpam-459	24	12	the	the	DET
ejpam-459	24	13	space	space	NOUN
ejpam-459	24	14	is	be	AUX
ejpam-459	24	15	given	give	VERB
ejpam-459	24	16	by	by	ADP
ejpam-459	24	17	ds2	ds2	PROPN
ejpam-459	24	18	=	=	SYM
ejpam-459	25	1	(	(	PUNCT
ejpam-459	25	2	d	d	PROPN
ejpam-459	25	3	x1)2	x1)2	PROPN
ejpam-459	26	1	+	+	CCONJ
ejpam-459	26	2	(	(	PUNCT
ejpam-459	26	3	d	d	NOUN
ejpam-459	26	4	x2)2	x2)2	X
ejpam-459	26	5	+	+	NOUN
ejpam-459	26	6	.	.	PUNCT
ejpam-459	26	7	.	.	PUNCT
ejpam-459	27	1	.+	.+	NOUN
ejpam-459	27	2	(	(	PUNCT
ejpam-459	27	3	d	d	X
ejpam-459	27	4	x	x	SYM
ejpam-459	27	5	n)2	n)2	PROPN
ejpam-459	27	6	.	.	PUNCT
ejpam-459	28	1	(	(	PUNCT
ejpam-459	28	2	2	2	X
ejpam-459	28	3	)	)	PUNCT
ejpam-459	28	4	we	we	PRON
ejpam-459	28	5	assume	assume	VERB
ejpam-459	28	6	that	that	SCONJ
ejpam-459	28	7	r	r	NOUN
ejpam-459	28	8	�	�	PROPN
ejpam-459	28	9	u1	u1	PROPN
ejpam-459	28	10	,	,	PUNCT
ejpam-459	28	11	u2	u2	NOUN
ejpam-459	28	12	,	,	PUNCT
ejpam-459	28	13	.	.	PUNCT
ejpam-459	28	14	.	.	PUNCT
ejpam-459	29	1	.	.	PUNCT
ejpam-459	30	1	,	,	PUNCT
ejpam-459	30	2	un−1	un−1	PROPN
ejpam-459	30	3	�	�	PROPN
ejpam-459	30	4	is	be	AUX
ejpam-459	30	5	a	a	DET
ejpam-459	30	6	differentiable	differentiable	ADJ
ejpam-459	30	7	function	function	NOUN
ejpam-459	30	8	of	of	ADP
ejpam-459	30	9	order	order	NOUN
ejpam-459	30	10	3	3	NUM
ejpam-459	30	11	and	and	CCONJ
ejpam-459	30	12	the	the	DET
ejpam-459	30	13	tangent	tangent	NOUN
ejpam-459	30	14	vectors	vector	NOUN
ejpam-459	30	15	r,1	r,1	VERB
ejpam-459	30	16	,	,	PUNCT
ejpam-459	30	17	r,2	r,2	NOUN
ejpam-459	30	18	,	,	PUNCT
ejpam-459	30	19	.	.	PUNCT
ejpam-459	30	20	.	.	PUNCT
ejpam-459	31	1	.	.	PUNCT
ejpam-459	32	1	,	,	PUNCT
ejpam-459	32	2	r	r	NOUN
ejpam-459	32	3	,	,	PUNCT
ejpam-459	32	4	n−1	n−1	PROPN
ejpam-459	32	5	of	of	ADP
ejpam-459	32	6	the	the	DET
ejpam-459	32	7	hypersurface	hypersurface	NOUN
ejpam-459	32	8	are	be	AUX
ejpam-459	32	9	linearly	linearly	ADV
ejpam-459	32	10	independent	independent	ADJ
ejpam-459	32	11	where	where	SCONJ
ejpam-459	32	12	r	r	NOUN
ejpam-459	32	13	,	,	PUNCT
ejpam-459	32	14	i	i	PROPN
ejpam-459	32	15	≡	≡	PROPN
ejpam-459	32	16	∂	∂	NUM
ejpam-459	32	17	r	r	NOUN
ejpam-459	32	18	∂	∂	NUM
ejpam-459	32	19	ui	ui	NOUN
ejpam-459	32	20	,	,	PUNCT
ejpam-459	32	21	(	(	PUNCT
ejpam-459	32	22	i	i	NOUN
ejpam-459	32	23	=	=	NOUN
ejpam-459	32	24	1	1	NUM
ejpam-459	32	25	,	,	PUNCT
ejpam-459	32	26	2	2	NUM
ejpam-459	32	27	,	,	PUNCT
ejpam-459	32	28	.	.	PUNCT
ejpam-459	32	29	.	.	PUNCT
ejpam-459	33	1	.	.	PUNCT
ejpam-459	34	1	,	,	PUNCT
ejpam-459	34	2	n−	n−	NOUN
ejpam-459	34	3	1	1	NUM
ejpam-459	34	4	)	)	PUNCT
ejpam-459	34	5	.	.	PUNCT
ejpam-459	35	1	(	(	PUNCT
ejpam-459	35	2	3	3	X
ejpam-459	35	3	)	)	PUNCT
ejpam-459	35	4	the	the	DET
ejpam-459	35	5	first	first	ADJ
ejpam-459	35	6	and	and	CCONJ
ejpam-459	35	7	second	second	ADJ
ejpam-459	35	8	fundamental	fundamental	ADJ
ejpam-459	35	9	forms	form	NOUN
ejpam-459	35	10	of	of	ADP
ejpam-459	35	11	the	the	DET
ejpam-459	35	12	hypersurface	hypersurface	NOUN
ejpam-459	35	13	are	be	AUX
ejpam-459	35	14	i	i	PRON
ejpam-459	35	15	=	=	PUNCT
ejpam-459	36	1	gi	gi	VERB
ejpam-459	36	2	jduidu	jduidu	PROPN
ejpam-459	36	3	j	j	PROPN
ejpam-459	36	4	,	,	PUNCT
ejpam-459	36	5	i	i	PRON
ejpam-459	36	6	i	i	PRON
ejpam-459	36	7	=	=	PUNCT
ejpam-459	36	8	li	li	PROPN
ejpam-459	36	9	jduidu	jduidu	PROPN
ejpam-459	36	10	j	j	PROPN
ejpam-459	36	11	,	,	PUNCT
ejpam-459	36	12	�	�	PROPN
ejpam-459	36	13	i	i	PRON
ejpam-459	36	14	,	,	PUNCT
ejpam-459	36	15	j	j	PROPN
ejpam-459	36	16	=	=	SYM
ejpam-459	36	17	1	1	NUM
ejpam-459	36	18	,	,	PUNCT
ejpam-459	36	19	2	2	NUM
ejpam-459	36	20	,	,	PUNCT
ejpam-459	36	21	.	.	PUNCT
ejpam-459	36	22	.	.	PUNCT
ejpam-459	36	23	.	.	PUNCT
ejpam-459	37	1	,	,	PUNCT
ejpam-459	37	2	n−	n−	NOUN
ejpam-459	37	3	1	1	NUM
ejpam-459	37	4	�	�	PROPN
ejpam-459	37	5	(	(	PUNCT
ejpam-459	37	6	4	4	NUM
ejpam-459	37	7	)	)	PUNCT
ejpam-459	37	8	where	where	SCONJ
ejpam-459	37	9	gi	gi	PROPN
ejpam-459	37	10	j	j	PROPN
ejpam-459	38	1	=	=	SYM
ejpam-459	38	2	r	r	PROPN
ejpam-459	38	3	,	,	PUNCT
ejpam-459	38	4	i.r	i.r	PROPN
ejpam-459	38	5	,	,	PUNCT
ejpam-459	38	6	j	j	PROPN
ejpam-459	38	7	(	(	PUNCT
ejpam-459	38	8	5	5	NUM
ejpam-459	38	9	)	)	PUNCT
ejpam-459	38	10	li	li	PROPN
ejpam-459	39	1	j	j	PROPN
ejpam-459	39	2	=	=	SYM
ejpam-459	39	3	r	r	PROPN
ejpam-459	39	4	,	,	PUNCT
ejpam-459	39	5	i	i	PRON
ejpam-459	39	6	j.n	j.n	PROPN
ejpam-459	39	7	,	,	PUNCT
ejpam-459	39	8	�	�	PROPN
ejpam-459	39	9	r	r	NOUN
ejpam-459	39	10	,	,	PUNCT
ejpam-459	39	11	i	i	PROPN
ejpam-459	39	12	j	j	PROPN
ejpam-459	39	13	≡	≡	PROPN
ejpam-459	39	14	∂	∂	PROPN
ejpam-459	40	1	2r	2r	NUM
ejpam-459	40	2	∂	∂	NUM
ejpam-459	40	3	ui∂	ui∂	PRON
ejpam-459	40	4	u	u	PROPN
ejpam-459	40	5	j	j	PROPN
ejpam-459	40	6	�	�	PROPN
ejpam-459	40	7	.	.	PUNCT
ejpam-459	41	1	(	(	PUNCT
ejpam-459	41	2	6	6	X
ejpam-459	41	3	)	)	PUNCT
ejpam-459	41	4	y.	y.	NOUN
ejpam-459	41	5	alagöz	alagöz	PROPN
ejpam-459	41	6	and	and	CCONJ
ejpam-459	41	7	z.	z.	PROPN
ejpam-459	41	8	soyuçok	soyuçok	ADJ
ejpam-459	41	9	/	/	SYM
ejpam-459	41	10	eur	eur	PROPN
ejpam-459	41	11	.	.	PUNCT
ejpam-459	42	1	j.	j.	PROPN
ejpam-459	42	2	pure	pure	PROPN
ejpam-459	42	3	appl	appl	PROPN
ejpam-459	42	4	.	.	PROPN
ejpam-459	42	5	math	math	PROPN
ejpam-459	42	6	,	,	PUNCT
ejpam-459	42	7	2	2	NUM
ejpam-459	42	8	(	(	PUNCT
ejpam-459	42	9	2009	2009	NUM
ejpam-459	42	10	)	)	PUNCT
ejpam-459	42	11	,	,	PUNCT
ejpam-459	42	12	(	(	PUNCT
ejpam-459	42	13	564	564	NUM
ejpam-459	42	14	-	-	SYM
ejpam-459	42	15	573	573	NUM
ejpam-459	42	16	)	)	PUNCT
ejpam-459	42	17	566	566	NUM
ejpam-459	42	18	here	here	ADV
ejpam-459	42	19	n	n	VERB
ejpam-459	42	20	is	be	AUX
ejpam-459	42	21	the	the	DET
ejpam-459	42	22	unit	unit	NOUN
ejpam-459	42	23	normal	normal	ADJ
ejpam-459	42	24	vector	vector	NOUN
ejpam-459	42	25	of	of	ADP
ejpam-459	42	26	the	the	DET
ejpam-459	42	27	hypersurface	hypersurface	NOUN
ejpam-459	42	28	,	,	PUNCT
ejpam-459	42	29	that	that	ADV
ejpam-459	42	30	is	is	ADV
ejpam-459	42	31	,	,	PUNCT
ejpam-459	42	32	r	r	NOUN
ejpam-459	42	33	,	,	PUNCT
ejpam-459	42	34	i.n=	i.n=	ADJ
ejpam-459	42	35	0	0	PUNCT
ejpam-459	43	1	(	(	PUNCT
ejpam-459	43	2	7	7	NUM
ejpam-459	43	3	)	)	PUNCT
ejpam-459	43	4	and	and	CCONJ
ejpam-459	43	5	n.n=	n.n=	PROPN
ejpam-459	43	6	1	1	NUM
ejpam-459	43	7	.	.	PUNCT
ejpam-459	44	1	(	(	PUNCT
ejpam-459	44	2	8)	8)	NUM
ejpam-459	44	3	the	the	DET
ejpam-459	44	4	differential	differential	ADJ
ejpam-459	44	5	equation	equation	NOUN
ejpam-459	44	6	of	of	ADP
ejpam-459	44	7	the	the	DET
ejpam-459	44	8	asymptotic	asymptotic	ADJ
ejpam-459	44	9	directions	direction	NOUN
ejpam-459	44	10	of	of	ADP
ejpam-459	44	11	the	the	DET
ejpam-459	44	12	hypersurface	hypersurface	NOUN
ejpam-459	44	13	is	be	AUX
ejpam-459	44	14	given	give	VERB
ejpam-459	44	15	by	by	ADP
ejpam-459	44	16	li	li	PROPN
ejpam-459	44	17	jduidu	jduidu	PROPN
ejpam-459	44	18	j	j	PROPN
ejpam-459	44	19	=	=	SYM
ejpam-459	44	20	0	0	PROPN
ejpam-459	44	21	(	(	PUNCT
ejpam-459	44	22	9	9	NUM
ejpam-459	44	23	)	)	PUNCT
ejpam-459	45	1	[	[	X
ejpam-459	45	2	2	2	NUM
ejpam-459	45	3	,	,	PUNCT
ejpam-459	45	4	p.44	p.44	VERB
ejpam-459	45	5	]	]	PUNCT
ejpam-459	45	6	and	and	CCONJ
ejpam-459	45	7	[	[	X
ejpam-459	45	8	5	5	NUM
ejpam-459	45	9	,	,	PUNCT
ejpam-459	45	10	p.134	p.134	X
ejpam-459	45	11	]	]	PUNCT
ejpam-459	45	12	.	.	PUNCT
ejpam-459	46	1	the	the	DET
ejpam-459	46	2	system	system	NOUN
ejpam-459	46	3	(	(	PUNCT
ejpam-459	46	4	7	7	X
ejpam-459	46	5	)	)	PUNCT
ejpam-459	46	6	can	can	AUX
ejpam-459	46	7	be	be	AUX
ejpam-459	46	8	written	write	VERB
ejpam-459	46	9	as	as	ADP
ejpam-459	46	10	ant	ant	ADJ
ejpam-459	46	11	=	=	SYM
ejpam-459	46	12	0	0	NUM
ejpam-459	46	13	(	(	PUNCT
ejpam-459	46	14	10	10	NUM
ejpam-459	46	15	)	)	PUNCT
ejpam-459	46	16	where	where	SCONJ
ejpam-459	46	17	a=	a=	PROPN
ejpam-459	46	18			NOUN
ejpam-459	46	19			ADJ
ejpam-459	46	20			ADJ
ejpam-459	46	21			ADJ
ejpam-459	46	22			ADJ
ejpam-459	46	23			ADJ
ejpam-459	46	24			ADJ
ejpam-459	46	25			NUM
ejpam-459	47	1	x1	x1	NUM
ejpam-459	47	2	,	,	PUNCT
ejpam-459	47	3	1	1	NUM
ejpam-459	47	4	x2	x2	PROPN
ejpam-459	47	5	,	,	PUNCT
ejpam-459	47	6	1	1	NUM
ejpam-459	47	7	·	·	PUNCT
ejpam-459	47	8	·	·	PUNCT
ejpam-459	47	9	·	·	PUNCT
ejpam-459	48	1	x	x	SYM
ejpam-459	48	2	n	n	X
ejpam-459	48	3	,	,	PUNCT
ejpam-459	48	4	1	1	NUM
ejpam-459	48	5	x1	x1	NUM
ejpam-459	48	6	,	,	PUNCT
ejpam-459	48	7	2	2	NUM
ejpam-459	48	8	x2	x2	NOUN
ejpam-459	48	9	,	,	PUNCT
ejpam-459	48	10	2	2	NUM
ejpam-459	48	11	·	·	PUNCT
ejpam-459	48	12	·	·	PUNCT
ejpam-459	48	13	·	·	PUNCT
ejpam-459	48	14	x	x	SYM
ejpam-459	49	1	n	n	X
ejpam-459	49	2	,	,	PUNCT
ejpam-459	49	3	2	2	NUM
ejpam-459	49	4	...	...	PUNCT
ejpam-459	49	5	...	...	PUNCT
ejpam-459	49	6	·	·	PUNCT
ejpam-459	49	7	·	·	PUNCT
ejpam-459	49	8	·	·	PUNCT
ejpam-459	49	9	...	...	PUNCT
ejpam-459	50	1	x1	x1	INTJ
ejpam-459	50	2	,	,	PUNCT
ejpam-459	50	3	n−1	n−1	PROPN
ejpam-459	50	4	x2	x2	PROPN
ejpam-459	50	5	,	,	PUNCT
ejpam-459	50	6	n−1	n−1	PROPN
ejpam-459	50	7	·	·	PUNCT
ejpam-459	50	8	·	·	PUNCT
ejpam-459	50	9	·	·	PUNCT
ejpam-459	50	10	x	x	SYM
ejpam-459	51	1	n	n	X
ejpam-459	51	2	,	,	PUNCT
ejpam-459	51	3	n−1	n−1	PROPN
ejpam-459	51	4			PROPN
ejpam-459	51	5			PROPN
ejpam-459	51	6			PROPN
ejpam-459	51	7			PROPN
ejpam-459	51	8			PROPN
ejpam-459	51	9			PROPN
ejpam-459	51	10			PROPN
ejpam-459	51	11			PROPN
ejpam-459	51	12	,	,	PUNCT
ejpam-459	51	13	�	�	PROPN
ejpam-459	52	1	x	x	SYM
ejpam-459	52	2	k	k	PROPN
ejpam-459	52	3	,	,	PUNCT
ejpam-459	52	4	i	i	PRON
ejpam-459	52	5	=	=	X
ejpam-459	52	6	∂	∂	NUM
ejpam-459	52	7	x	x	SYM
ejpam-459	52	8	k	k	PROPN
ejpam-459	52	9	∂	∂	PROPN
ejpam-459	52	10	ui	ui	PROPN
ejpam-459	52	11	�	�	PROPN
ejpam-459	52	12	(	(	PUNCT
ejpam-459	52	13	11	11	NUM
ejpam-459	52	14	)	)	PUNCT
ejpam-459	52	15	and	and	CCONJ
ejpam-459	52	16	n=	n=	ADJ
ejpam-459	52	17	�	�	PROPN
ejpam-459	52	18	n1	n1	PROPN
ejpam-459	52	19	,	,	PUNCT
ejpam-459	52	20	n2	n2	NOUN
ejpam-459	52	21	,	,	PUNCT
ejpam-459	52	22	.	.	PUNCT
ejpam-459	52	23	.	.	PUNCT
ejpam-459	52	24	.	.	PUNCT
ejpam-459	53	1	,	,	PUNCT
ejpam-459	53	2	nn	nn	PROPN
ejpam-459	53	3	�	�	PROPN
ejpam-459	53	4	.	.	PUNCT
ejpam-459	54	1	(	(	PUNCT
ejpam-459	54	2	12	12	NUM
ejpam-459	54	3	)	)	PUNCT
ejpam-459	54	4	since	since	SCONJ
ejpam-459	54	5	the	the	DET
ejpam-459	54	6	vectors	vector	NOUN
ejpam-459	54	7	r	r	VERB
ejpam-459	54	8	,	,	PUNCT
ejpam-459	54	9	i	i	NOUN
ejpam-459	54	10	=	=	PUNCT
ejpam-459	54	11	�	�	PROPN
ejpam-459	55	1	x1	x1	NUM
ejpam-459	55	2	,	,	PUNCT
ejpam-459	55	3	i	i	PRON
ejpam-459	55	4	,	,	PUNCT
ejpam-459	55	5	x2	x2	INTJ
ejpam-459	55	6	,	,	PUNCT
ejpam-459	55	7	i	i	PROPN
ejpam-459	55	8	.	.	PUNCT
ejpam-459	55	9	.	.	PUNCT
ejpam-459	55	10	.	.	PUNCT
ejpam-459	56	1	,	,	PUNCT
ejpam-459	57	1	x	x	PUNCT
ejpam-459	57	2	n	n	X
ejpam-459	57	3	,	,	PUNCT
ejpam-459	57	4	i	i	PRON
ejpam-459	57	5	�	�	PROPN
ejpam-459	57	6	,	,	PUNCT
ejpam-459	57	7	(	(	PUNCT
ejpam-459	57	8	i	i	NOUN
ejpam-459	57	9	=	=	NOUN
ejpam-459	57	10	1	1	NUM
ejpam-459	57	11	,	,	PUNCT
ejpam-459	57	12	2	2	NUM
ejpam-459	57	13	,	,	PUNCT
ejpam-459	57	14	.	.	PUNCT
ejpam-459	57	15	.	.	PUNCT
ejpam-459	57	16	.	.	PUNCT
ejpam-459	58	1	,	,	PUNCT
ejpam-459	58	2	n−	n−	NOUN
ejpam-459	58	3	1	1	NUM
ejpam-459	58	4	)	)	PUNCT
ejpam-459	58	5	(	(	PUNCT
ejpam-459	58	6	13	13	NUM
ejpam-459	58	7	)	)	PUNCT
ejpam-459	58	8	are	be	AUX
ejpam-459	58	9	linearly	linearly	ADV
ejpam-459	58	10	independent	independent	ADJ
ejpam-459	58	11	,	,	PUNCT
ejpam-459	58	12	we	we	PRON
ejpam-459	58	13	can	can	AUX
ejpam-459	58	14	assume	assume	VERB
ejpam-459	58	15	that	that	SCONJ
ejpam-459	58	16	∆n	∆n	PROPN
ejpam-459	58	17	=	=	SYM
ejpam-459	58	18	det	det	PROPN
ejpam-459	58	19			PROPN
ejpam-459	58	20			ADJ
ejpam-459	58	21			ADJ
ejpam-459	58	22			ADJ
ejpam-459	58	23			ADJ
ejpam-459	58	24			ADJ
ejpam-459	58	25			ADJ
ejpam-459	58	26			NUM
ejpam-459	59	1	x1	x1	NUM
ejpam-459	59	2	,	,	PUNCT
ejpam-459	59	3	1	1	NUM
ejpam-459	59	4	x2	x2	PROPN
ejpam-459	59	5	,	,	PUNCT
ejpam-459	59	6	1	1	NUM
ejpam-459	59	7	·	·	PUNCT
ejpam-459	59	8	·	·	PUNCT
ejpam-459	59	9	·	·	PUNCT
ejpam-459	60	1	x	x	X
ejpam-459	60	2	n−1	n−1	PROPN
ejpam-459	60	3	,	,	PUNCT
ejpam-459	60	4	1	1	NUM
ejpam-459	60	5	x1	x1	NUM
ejpam-459	60	6	,	,	PUNCT
ejpam-459	60	7	2	2	NUM
ejpam-459	60	8	x2	x2	NOUN
ejpam-459	60	9	,	,	PUNCT
ejpam-459	60	10	2	2	NUM
ejpam-459	60	11	·	·	PUNCT
ejpam-459	60	12	·	·	PUNCT
ejpam-459	60	13	·	·	PUNCT
ejpam-459	61	1	x	x	X
ejpam-459	61	2	n−1	n−1	PROPN
ejpam-459	61	3	,	,	PUNCT
ejpam-459	61	4	2	2	NUM
ejpam-459	61	5	...	...	PUNCT
ejpam-459	61	6	...	...	PUNCT
ejpam-459	61	7	·	·	PUNCT
ejpam-459	61	8	·	·	PUNCT
ejpam-459	61	9	·	·	PUNCT
ejpam-459	61	10	...	...	PUNCT
ejpam-459	62	1	x1	x1	INTJ
ejpam-459	62	2	,	,	PUNCT
ejpam-459	62	3	n−1	n−1	PROPN
ejpam-459	62	4	x2	x2	PROPN
ejpam-459	62	5	,	,	PUNCT
ejpam-459	62	6	n−1	n−1	PROPN
ejpam-459	62	7	·	·	PUNCT
ejpam-459	62	8	·	·	PUNCT
ejpam-459	62	9	·	·	PUNCT
ejpam-459	63	1	x	x	X
ejpam-459	63	2	n−1	n−1	PROPN
ejpam-459	63	3	,	,	PUNCT
ejpam-459	63	4	n−1	n−1	PROPN
ejpam-459	63	5			PROPN
ejpam-459	63	6			PROPN
ejpam-459	63	7			PROPN
ejpam-459	63	8			PROPN
ejpam-459	63	9			PROPN
ejpam-459	63	10			PROPN
ejpam-459	63	11			PROPN
ejpam-459	63	12			PROPN
ejpam-459	63	13	6=	6=	PROPN
ejpam-459	63	14	0	0	NUM
ejpam-459	63	15	.	.	PUNCT
ejpam-459	64	1	(	(	PUNCT
ejpam-459	64	2	14	14	X
ejpam-459	64	3	)	)	PUNCT
ejpam-459	64	4	y.	y.	NOUN
ejpam-459	64	5	alagöz	alagöz	PROPN
ejpam-459	64	6	and	and	CCONJ
ejpam-459	64	7	z.	z.	PROPN
ejpam-459	64	8	soyuçok	soyuçok	ADJ
ejpam-459	64	9	/	/	SYM
ejpam-459	64	10	eur	eur	PROPN
ejpam-459	64	11	.	.	PUNCT
ejpam-459	65	1	j.	j.	PROPN
ejpam-459	65	2	pure	pure	PROPN
ejpam-459	65	3	appl	appl	PROPN
ejpam-459	65	4	.	.	PROPN
ejpam-459	65	5	math	math	PROPN
ejpam-459	65	6	,	,	PUNCT
ejpam-459	65	7	2	2	NUM
ejpam-459	65	8	(	(	PUNCT
ejpam-459	65	9	2009	2009	NUM
ejpam-459	65	10	)	)	PUNCT
ejpam-459	65	11	,	,	PUNCT
ejpam-459	65	12	(	(	PUNCT
ejpam-459	65	13	564	564	NUM
ejpam-459	65	14	-	-	SYM
ejpam-459	65	15	573	573	NUM
ejpam-459	65	16	)	)	PUNCT
ejpam-459	65	17	567	567	NUM
ejpam-459	65	18	then	then	ADV
ejpam-459	65	19	from	from	ADP
ejpam-459	65	20	(	(	PUNCT
ejpam-459	65	21	10	10	NUM
ejpam-459	65	22	)	)	PUNCT
ejpam-459	65	23	and	and	CCONJ
ejpam-459	65	24	(	(	PUNCT
ejpam-459	65	25	8)	8)	NUM
ejpam-459	65	26	we	we	PRON
ejpam-459	65	27	have	have	VERB
ejpam-459	65	28	n=	n=	ADJ
ejpam-459	65	29	1	1	NUM
ejpam-459	65	30	k	k	PROPN
ejpam-459	65	31	�	�	PROPN
ejpam-459	65	32	∆1,−∆2	∆1,−∆2	PROPN
ejpam-459	65	33	,	,	PUNCT
ejpam-459	65	34	.	.	PUNCT
ejpam-459	65	35	.	.	PUNCT
ejpam-459	65	36	.	.	PUNCT
ejpam-459	66	1	,	,	PUNCT
ejpam-459	66	2	(	(	PUNCT
ejpam-459	66	3	−1)1+n∆n	−1)1+n∆n	NOUN
ejpam-459	66	4	�	�	PROPN
ejpam-459	66	5	(	(	PUNCT
ejpam-459	66	6	15	15	NUM
ejpam-459	66	7	)	)	PUNCT
ejpam-459	66	8	where	where	SCONJ
ejpam-459	66	9	∆i	∆i	PROPN
ejpam-459	66	10	is	be	AUX
ejpam-459	66	11	the	the	DET
ejpam-459	66	12	determinant	determinant	NOUN
ejpam-459	66	13	of	of	ADP
ejpam-459	66	14	the	the	DET
ejpam-459	66	15	matrix	matrix	NOUN
ejpam-459	66	16	which	which	PRON
ejpam-459	66	17	is	be	AUX
ejpam-459	66	18	obtained	obtain	VERB
ejpam-459	66	19	by	by	ADP
ejpam-459	66	20	omitting	omit	VERB
ejpam-459	66	21	ith	ith	PROPN
ejpam-459	66	22	column	column	NOUN
ejpam-459	66	23	in	in	ADP
ejpam-459	66	24	the	the	DET
ejpam-459	66	25	coefficients	coefficient	NOUN
ejpam-459	66	26	matrix	matrix	NOUN
ejpam-459	66	27	a	a	PRON
ejpam-459	66	28	and	and	CCONJ
ejpam-459	66	29	k	k	NOUN
ejpam-459	67	1	=	=	PUNCT
ejpam-459	67	2	p	p	X
ejpam-459	67	3	∆2	∆2	X
ejpam-459	67	4	1+∆	1+∆	PROPN
ejpam-459	67	5	2	2	NUM
ejpam-459	67	6	2	2	NUM
ejpam-459	67	7	+	+	NUM
ejpam-459	67	8	.	.	PUNCT
ejpam-459	67	9	.	.	PUNCT
ejpam-459	68	1	.+∆2	.+∆2	PROPN
ejpam-459	69	1	n	n	X
ejpam-459	69	2	.	.	PUNCT
ejpam-459	70	1	(	(	PUNCT
ejpam-459	70	2	16	16	NUM
ejpam-459	70	3	)	)	PUNCT
ejpam-459	70	4	accordingly	accordingly	ADV
ejpam-459	70	5	,	,	PUNCT
ejpam-459	70	6	from	from	ADP
ejpam-459	70	7	(	(	PUNCT
ejpam-459	70	8	6	6	NUM
ejpam-459	70	9	)	)	PUNCT
ejpam-459	70	10	we	we	PRON
ejpam-459	70	11	get	get	VERB
ejpam-459	70	12	li	li	PROPN
ejpam-459	70	13	j	j	PROPN
ejpam-459	70	14	=	=	PROPN
ejpam-459	71	1	1	1	NUM
ejpam-459	71	2	k	k	NOUN
ejpam-459	72	1	[	[	X
ejpam-459	72	2	x1	x1	INTJ
ejpam-459	72	3	,	,	PUNCT
ejpam-459	72	4	i	i	PRON
ejpam-459	72	5	j	j	PROPN
ejpam-459	72	6	∆1−	∆1−	VERB
ejpam-459	72	7	x2	x2	INTJ
ejpam-459	72	8	,	,	PUNCT
ejpam-459	72	9	i	i	PRON
ejpam-459	72	10	j	j	PROPN
ejpam-459	72	11	∆2	∆2	PROPN
ejpam-459	72	12	+	+	PROPN
ejpam-459	72	13	.	.	PUNCT
ejpam-459	72	14	.	.	PUNCT
ejpam-459	73	1	.+	.+	NOUN
ejpam-459	73	2	(	(	PUNCT
ejpam-459	73	3	−1)1+n	−1)1+n	NOUN
ejpam-459	73	4	x	x	SYM
ejpam-459	73	5	n	n	X
ejpam-459	73	6	,	,	PUNCT
ejpam-459	73	7	i	i	PRON
ejpam-459	73	8	j	j	PROPN
ejpam-459	73	9	∆n	∆n	PROPN
ejpam-459	73	10	]	]	X
ejpam-459	73	11	(	(	PUNCT
ejpam-459	73	12	17	17	NUM
ejpam-459	73	13	)	)	PUNCT
ejpam-459	73	14	and	and	CCONJ
ejpam-459	73	15	so	so	ADV
ejpam-459	73	16	kli	kli	PROPN
ejpam-459	73	17	j	j	PROPN
ejpam-459	73	18	=	=	PROPN
ejpam-459	73	19	det	det	PROPN
ejpam-459	73	20			PROPN
ejpam-459	73	21			ADJ
ejpam-459	73	22			ADJ
ejpam-459	73	23			ADJ
ejpam-459	73	24			ADJ
ejpam-459	73	25			ADJ
ejpam-459	73	26			ADJ
ejpam-459	73	27			NUM
ejpam-459	74	1	x1	x1	INTJ
ejpam-459	74	2	,	,	PUNCT
ejpam-459	75	1	i	i	PRON
ejpam-459	75	2	j	j	PROPN
ejpam-459	76	1	x1	x1	NUM
ejpam-459	76	2	,	,	PUNCT
ejpam-459	76	3	1	1	NUM
ejpam-459	76	4	x1	x1	NUM
ejpam-459	76	5	,	,	PUNCT
ejpam-459	76	6	2	2	NUM
ejpam-459	76	7	·	·	PUNCT
ejpam-459	76	8	·	·	PUNCT
ejpam-459	76	9	·	·	PUNCT
ejpam-459	77	1	x1	x1	INTJ
ejpam-459	77	2	,	,	PUNCT
ejpam-459	77	3	n−1	n−1	PROPN
ejpam-459	77	4	x2	x2	INTJ
ejpam-459	77	5	,	,	PUNCT
ejpam-459	77	6	i	i	PRON
ejpam-459	77	7	j	j	PROPN
ejpam-459	78	1	x2	x2	INTJ
ejpam-459	78	2	,	,	PUNCT
ejpam-459	78	3	1	1	NUM
ejpam-459	78	4	x2	x2	NOUN
ejpam-459	78	5	,	,	PUNCT
ejpam-459	78	6	2	2	NUM
ejpam-459	78	7	·	·	PUNCT
ejpam-459	78	8	·	·	PUNCT
ejpam-459	78	9	·	·	PUNCT
ejpam-459	79	1	x2	x2	INTJ
ejpam-459	79	2	,	,	PUNCT
ejpam-459	79	3	n−1	n−1	PROPN
ejpam-459	79	4	...	...	PUNCT
ejpam-459	79	5	...	...	PUNCT
ejpam-459	79	6	...	...	PUNCT
ejpam-459	79	7	·	·	PUNCT
ejpam-459	79	8	·	·	PUNCT
ejpam-459	79	9	·	·	PUNCT
ejpam-459	79	10	...	...	PUNCT
ejpam-459	80	1	x	x	PUNCT
ejpam-459	80	2	n	n	X
ejpam-459	80	3	,	,	PUNCT
ejpam-459	80	4	i	i	PRON
ejpam-459	80	5	j	j	NOUN
ejpam-459	80	6	x	x	VERB
ejpam-459	80	7	n	n	PROPN
ejpam-459	80	8	,	,	PUNCT
ejpam-459	80	9	1	1	NUM
ejpam-459	80	10	x	x	SYM
ejpam-459	80	11	n	n	PROPN
ejpam-459	80	12	,	,	PUNCT
ejpam-459	80	13	2	2	NUM
ejpam-459	80	14	·	·	PUNCT
ejpam-459	80	15	·	·	PUNCT
ejpam-459	80	16	·	·	PUNCT
ejpam-459	81	1	x	x	SYM
ejpam-459	81	2	n	n	X
ejpam-459	81	3	,	,	PUNCT
ejpam-459	81	4	n−1	n−1	PROPN
ejpam-459	81	5			PROPN
ejpam-459	81	6			PROPN
ejpam-459	82	1			PROPN
ejpam-459	82	2			PROPN
ejpam-459	82	3			PROPN
ejpam-459	82	4			PROPN
ejpam-459	82	5			PROPN
ejpam-459	82	6			PROPN
ejpam-459	82	7	,	,	PUNCT
ejpam-459	82	8	�	�	PROPN
ejpam-459	82	9	x	x	SYM
ejpam-459	82	10	k	k	PROPN
ejpam-459	82	11	,	,	PUNCT
ejpam-459	82	12	i	i	PRON
ejpam-459	82	13	j	j	NOUN
ejpam-459	82	14	=	=	SYM
ejpam-459	82	15	∂	∂	X
ejpam-459	82	16	2x	2x	NUM
ejpam-459	82	17	k	k	X
ejpam-459	82	18	∂	∂	X
ejpam-459	82	19	ui∂	ui∂	PRON
ejpam-459	82	20	u	u	PROPN
ejpam-459	82	21	j	j	PROPN
ejpam-459	82	22	�	�	PROPN
ejpam-459	82	23	.	.	PUNCT
ejpam-459	83	1	(	(	PUNCT
ejpam-459	83	2	18	18	NUM
ejpam-459	83	3	)	)	PUNCT
ejpam-459	83	4	now	now	ADV
ejpam-459	83	5	for	for	ADP
ejpam-459	83	6	a	a	DET
ejpam-459	83	7	hypersurface	hypersurface	NOUN
ejpam-459	83	8	s	s	AUX
ejpam-459	83	9	let	let	VERB
ejpam-459	83	10	us	we	PRON
ejpam-459	83	11	choose	choose	VERB
ejpam-459	83	12	the	the	DET
ejpam-459	83	13	parameters	parameter	NOUN
ejpam-459	83	14	as	as	ADP
ejpam-459	83	15	u1	u1	NOUN
ejpam-459	83	16	=	=	SYM
ejpam-459	83	17	x1	x1	PROPN
ejpam-459	83	18	,	,	PUNCT
ejpam-459	83	19	u2	u2	NOUN
ejpam-459	83	20	=	=	PUNCT
ejpam-459	83	21	x2	x2	PROPN
ejpam-459	83	22	,	,	PUNCT
ejpam-459	83	23	.	.	PUNCT
ejpam-459	83	24	.	.	PUNCT
ejpam-459	84	1	.	.	PUNCT
ejpam-459	85	1	,	,	PUNCT
ejpam-459	85	2	un−1	un−1	PROPN
ejpam-459	85	3	=	=	SYM
ejpam-459	85	4	x	x	SYM
ejpam-459	85	5	n−1	n−1	PROPN
ejpam-459	85	6	.	.	PROPN
ejpam-459	86	1	(	(	PUNCT
ejpam-459	86	2	19	19	NUM
ejpam-459	86	3	)	)	PUNCT
ejpam-459	86	4	then	then	ADV
ejpam-459	86	5	,	,	PUNCT
ejpam-459	86	6	the	the	DET
ejpam-459	86	7	equation	equation	NOUN
ejpam-459	86	8	of	of	ADP
ejpam-459	86	9	s	s	NOUN
ejpam-459	86	10	becomes	become	VERB
ejpam-459	86	11	r(x1	r(x1	ADJ
ejpam-459	86	12	,	,	PUNCT
ejpam-459	86	13	x2	x2	PROPN
ejpam-459	86	14	,	,	PUNCT
ejpam-459	86	15	...	...	PUNCT
ejpam-459	86	16	,	,	PUNCT
ejpam-459	86	17	x	x	PROPN
ejpam-459	86	18	n−1	n−1	PROPN
ejpam-459	86	19	)	)	PUNCT
ejpam-459	86	20	=	=	PUNCT
ejpam-459	87	1	(	(	PUNCT
ejpam-459	87	2	x1	x1	PROPN
ejpam-459	87	3	,	,	PUNCT
ejpam-459	87	4	x2	x2	PROPN
ejpam-459	87	5	,	,	PUNCT
ejpam-459	87	6	...	...	PUNCT
ejpam-459	87	7	,	,	PUNCT
ejpam-459	87	8	x	x	PROPN
ejpam-459	87	9	n−1	n−1	ADJ
ejpam-459	87	10	,	,	PUNCT
ejpam-459	87	11	x	x	PROPN
ejpam-459	87	12	n(x1	n(x1	NOUN
ejpam-459	87	13	,	,	PUNCT
ejpam-459	87	14	...	...	PUNCT
ejpam-459	87	15	,	,	PUNCT
ejpam-459	87	16	x	x	PROPN
ejpam-459	87	17	n−1	n−1	PROPN
ejpam-459	87	18	)	)	PUNCT
ejpam-459	87	19	)	)	PUNCT
ejpam-459	87	20	(	(	PUNCT
ejpam-459	87	21	20	20	NUM
ejpam-459	87	22	)	)	PUNCT
ejpam-459	87	23	and	and	CCONJ
ejpam-459	87	24	from	from	ADP
ejpam-459	87	25	(	(	PUNCT
ejpam-459	87	26	18	18	NUM
ejpam-459	87	27	)	)	PUNCT
ejpam-459	87	28	we	we	PRON
ejpam-459	87	29	get	get	VERB
ejpam-459	87	30	kli	kli	PROPN
ejpam-459	87	31	j	j	PROPN
ejpam-459	87	32	=	=	PUNCT
ejpam-459	87	33	(	(	PUNCT
ejpam-459	87	34	−1	−1	NOUN
ejpam-459	87	35	)	)	PUNCT
ejpam-459	87	36	n+1	n+1	NUM
ejpam-459	88	1	x	x	SYM
ejpam-459	88	2	n	n	X
ejpam-459	88	3	,	,	PUNCT
ejpam-459	88	4	i	i	PRON
ejpam-459	88	5	j	j	PROPN
ejpam-459	88	6	.	.	PUNCT
ejpam-459	89	1	(	(	PUNCT
ejpam-459	89	2	21	21	NUM
ejpam-459	89	3	)	)	PUNCT
ejpam-459	89	4	see	see	VERB
ejpam-459	89	5	also	also	ADV
ejpam-459	89	6	[	[	X
ejpam-459	89	7	2	2	NUM
ejpam-459	89	8	,	,	PUNCT
ejpam-459	89	9	p.36	p.36	NOUN
ejpam-459	89	10	]	]	PUNCT
ejpam-459	89	11	.	.	PUNCT
ejpam-459	90	1	the	the	DET
ejpam-459	90	2	differential	differential	ADJ
ejpam-459	90	3	equation	equation	NOUN
ejpam-459	90	4	of	of	ADP
ejpam-459	90	5	the	the	DET
ejpam-459	90	6	asymptotic	asymptotic	ADJ
ejpam-459	90	7	directions	direction	NOUN
ejpam-459	90	8	of	of	ADP
ejpam-459	90	9	s	s	PROPN
ejpam-459	90	10	,	,	PUNCT
ejpam-459	90	11	from	from	ADP
ejpam-459	90	12	(	(	PUNCT
ejpam-459	90	13	9	9	NUM
ejpam-459	90	14	)	)	PUNCT
ejpam-459	90	15	,	,	PUNCT
ejpam-459	90	16	is	be	AUX
ejpam-459	90	17	obtained	obtain	VERB
ejpam-459	90	18	as	as	ADP
ejpam-459	90	19	x	x	X
ejpam-459	90	20	n	n	PROPN
ejpam-459	90	21	,	,	PUNCT
ejpam-459	90	22	i	i	PRON
ejpam-459	90	23	j	j	NOUN
ejpam-459	91	1	d	d	NOUN
ejpam-459	91	2	x	x	PUNCT
ejpam-459	91	3	i	i	NOUN
ejpam-459	91	4	d	d	NOUN
ejpam-459	91	5	x	x	X
ejpam-459	91	6	j	j	PROPN
ejpam-459	91	7	=	=	SYM
ejpam-459	91	8	0	0	NUM
ejpam-459	91	9	�	�	PROPN
ejpam-459	91	10	i	i	PROPN
ejpam-459	91	11	,	,	PUNCT
ejpam-459	91	12	j	j	PROPN
ejpam-459	91	13	=	=	SYM
ejpam-459	91	14	1	1	NUM
ejpam-459	91	15	,	,	PUNCT
ejpam-459	91	16	2	2	NUM
ejpam-459	91	17	,	,	PUNCT
ejpam-459	91	18	.	.	PUNCT
ejpam-459	91	19	.	.	PUNCT
ejpam-459	91	20	.	.	PUNCT
ejpam-459	92	1	,	,	PUNCT
ejpam-459	92	2	n−	n−	NOUN
ejpam-459	92	3	1	1	NUM
ejpam-459	92	4	�	�	PROPN
ejpam-459	92	5	.	.	PUNCT
ejpam-459	93	1	(	(	PUNCT
ejpam-459	93	2	22	22	X
ejpam-459	93	3	)	)	PUNCT
ejpam-459	93	4	y.	y.	NOUN
ejpam-459	93	5	alagöz	alagöz	PROPN
ejpam-459	93	6	and	and	CCONJ
ejpam-459	93	7	z.	z.	PROPN
ejpam-459	93	8	soyuçok	soyuçok	ADJ
ejpam-459	93	9	/	/	SYM
ejpam-459	93	10	eur	eur	PROPN
ejpam-459	93	11	.	.	PUNCT
ejpam-459	94	1	j.	j.	PROPN
ejpam-459	94	2	pure	pure	PROPN
ejpam-459	94	3	appl	appl	PROPN
ejpam-459	94	4	.	.	PROPN
ejpam-459	94	5	math	math	PROPN
ejpam-459	94	6	,	,	PUNCT
ejpam-459	94	7	2	2	NUM
ejpam-459	94	8	(	(	PUNCT
ejpam-459	94	9	2009	2009	NUM
ejpam-459	94	10	)	)	PUNCT
ejpam-459	94	11	,	,	PUNCT
ejpam-459	94	12	(	(	PUNCT
ejpam-459	94	13	564	564	NUM
ejpam-459	94	14	-	-	SYM
ejpam-459	94	15	573	573	NUM
ejpam-459	94	16	)	)	PUNCT
ejpam-459	94	17	568	568	NUM
ejpam-459	94	18	3	3	NUM
ejpam-459	94	19	.	.	PUNCT
ejpam-459	94	20	conditions	condition	NOUN
ejpam-459	94	21	for	for	ADP
ejpam-459	94	22	a	a	DET
ejpam-459	94	23	transformation	transformation	NOUN
ejpam-459	94	24	preserving	preserve	VERB
ejpam-459	94	25	the	the	DET
ejpam-459	94	26	asymptotic	asymptotic	ADJ
ejpam-459	94	27	directions	direction	NOUN
ejpam-459	94	28	here	here	ADV
ejpam-459	94	29	we	we	PRON
ejpam-459	94	30	determine	determine	VERB
ejpam-459	94	31	transformations	transformation	NOUN
ejpam-459	94	32	preserving	preserve	VERB
ejpam-459	94	33	the	the	DET
ejpam-459	94	34	asymptotic	asymptotic	ADJ
ejpam-459	94	35	directions	direction	NOUN
ejpam-459	94	36	of	of	ADP
ejpam-459	94	37	a	a	DET
ejpam-459	94	38	hypersurface	hypersurface	NOUN
ejpam-459	94	39	.	.	PUNCT
ejpam-459	95	1	in	in	ADP
ejpam-459	95	2	the	the	DET
ejpam-459	95	3	n	n	ADV
ejpam-459	95	4	-	-	PUNCT
ejpam-459	95	5	dimensional	dimensional	ADJ
ejpam-459	95	6	euclidean	euclidean	ADJ
ejpam-459	95	7	space	space	NOUN
ejpam-459	95	8	let	let	VERB
ejpam-459	95	9	us	we	PRON
ejpam-459	95	10	consider	consider	VERB
ejpam-459	95	11	the	the	DET
ejpam-459	95	12	coordinate	coordinate	NOUN
ejpam-459	95	13	transformation	transformation	NOUN
ejpam-459	95	14	t	t	NOUN
ejpam-459	95	15	:	:	PUNCT
ejpam-459	95	16	ya	ya	PROPN
ejpam-459	95	17	=	=	SYM
ejpam-459	95	18	ya	ya	PROPN
ejpam-459	95	19	�	�	PROPN
ejpam-459	95	20	x1	x1	PROPN
ejpam-459	95	21	,	,	PUNCT
ejpam-459	95	22	x2	x2	PROPN
ejpam-459	95	23	,	,	PUNCT
ejpam-459	95	24	.	.	PUNCT
ejpam-459	95	25	.	.	PUNCT
ejpam-459	96	1	.	.	PUNCT
ejpam-459	97	1	,	,	PUNCT
ejpam-459	97	2	x	x	X
ejpam-459	97	3	n	n	X
ejpam-459	97	4	�	�	PROPN
ejpam-459	97	5	,	,	PUNCT
ejpam-459	97	6	(	(	PUNCT
ejpam-459	97	7	a	a	DET
ejpam-459	97	8	=	=	SYM
ejpam-459	97	9	1	1	NUM
ejpam-459	97	10	,	,	PUNCT
ejpam-459	97	11	2	2	NUM
ejpam-459	97	12	,	,	PUNCT
ejpam-459	97	13	.	.	PUNCT
ejpam-459	97	14	.	.	PUNCT
ejpam-459	98	1	.	.	PUNCT
ejpam-459	98	2	,	,	PUNCT
ejpam-459	99	1	n	n	CCONJ
ejpam-459	99	2	)	)	PUNCT
ejpam-459	99	3	.	.	PUNCT
ejpam-459	100	1	(	(	PUNCT
ejpam-459	100	2	23	23	NUM
ejpam-459	100	3	)	)	PUNCT
ejpam-459	100	4	we	we	PRON
ejpam-459	100	5	assume	assume	VERB
ejpam-459	100	6	that	that	SCONJ
ejpam-459	100	7	t	t	PROPN
ejpam-459	100	8	is	be	AUX
ejpam-459	100	9	differentiable	differentiable	ADJ
ejpam-459	100	10	of	of	ADP
ejpam-459	100	11	order	order	NOUN
ejpam-459	100	12	3	3	NUM
ejpam-459	100	13	and	and	CCONJ
ejpam-459	100	14	∆=	∆=	VERB
ejpam-459	100	15	det	det	PROPN
ejpam-459	100	16	h	h	PROPN
ejpam-459	100	17	t,1	t,1	NUM
ejpam-459	100	18	t,2	t,2	NOUN
ejpam-459	100	19	·	·	PUNCT
ejpam-459	100	20	·	·	PUNCT
ejpam-459	100	21	·	·	PUNCT
ejpam-459	100	22	t	t	X
ejpam-459	100	23	,	,	PUNCT
ejpam-459	100	24	n	n	PROPN
ejpam-459	100	25	i	i	PROPN
ejpam-459	100	26	=	=	SYM
ejpam-459	100	27	�	�	PROPN
ejpam-459	100	28	�	�	PROPN
ejpam-459	100	29	�	�	PROPN
ejpam-459	100	30	t,1	t,1	X
ejpam-459	100	31	t,2	t,2	NOUN
ejpam-459	100	32	·	·	PUNCT
ejpam-459	100	33	·	·	PUNCT
ejpam-459	100	34	·	·	PUNCT
ejpam-459	101	1	t	t	X
ejpam-459	101	2	,	,	PUNCT
ejpam-459	101	3	n	n	X
ejpam-459	101	4	�	�	PROPN
ejpam-459	101	5	�	�	PROPN
ejpam-459	101	6	�	�	PROPN
ejpam-459	101	7	6=	6=	ADP
ejpam-459	101	8	0	0	NUM
ejpam-459	101	9	(	(	PUNCT
ejpam-459	101	10	24	24	NUM
ejpam-459	101	11	)	)	PUNCT
ejpam-459	101	12	where	where	SCONJ
ejpam-459	101	13	t	t	PROPN
ejpam-459	101	14	,	,	PUNCT
ejpam-459	101	15	b	b	X
ejpam-459	101	16	=	=	PUNCT
ejpam-459	101	17			X
ejpam-459	101	18			ADJ
ejpam-459	101	19			ADJ
ejpam-459	101	20			ADJ
ejpam-459	101	21			ADJ
ejpam-459	101	22			ADJ
ejpam-459	101	23			ADJ
ejpam-459	101	24			NUM
ejpam-459	101	25	y1	y1	INTJ
ejpam-459	101	26	,	,	PUNCT
ejpam-459	101	27	b	b	NOUN
ejpam-459	101	28	y2	y2	PROPN
ejpam-459	101	29	,	,	PUNCT
ejpam-459	101	30	b	b	PROPN
ejpam-459	101	31	...	...	PUNCT
ejpam-459	102	1	yn	yn	PROPN
ejpam-459	102	2	,	,	PUNCT
ejpam-459	102	3	b	b	PROPN
ejpam-459	102	4			PROPN
ejpam-459	102	5			PROPN
ejpam-459	102	6			PROPN
ejpam-459	102	7			PROPN
ejpam-459	102	8			PROPN
ejpam-459	102	9			PROPN
ejpam-459	102	10			PROPN
ejpam-459	102	11			PROPN
ejpam-459	102	12	,	,	PUNCT
ejpam-459	102	13	�	�	PROPN
ejpam-459	102	14	ya	ya	PROPN
ejpam-459	102	15	,	,	PUNCT
ejpam-459	102	16	b	b	X
ejpam-459	102	17	=	=	SYM
ejpam-459	102	18	∂	∂	NUM
ejpam-459	102	19	ya	ya	PROPN
ejpam-459	102	20	∂	∂	NOUN
ejpam-459	102	21	x	x	SYM
ejpam-459	102	22	b	b	PROPN
ejpam-459	102	23	;	;	PUNCT
ejpam-459	102	24	b	b	X
ejpam-459	102	25	=	=	SYM
ejpam-459	102	26	1	1	NUM
ejpam-459	102	27	,	,	PUNCT
ejpam-459	102	28	2	2	NUM
ejpam-459	102	29	,	,	PUNCT
ejpam-459	102	30	.	.	PUNCT
ejpam-459	102	31	.	.	PUNCT
ejpam-459	102	32	.	.	PUNCT
ejpam-459	103	1	,	,	PUNCT
ejpam-459	103	2	n	n	X
ejpam-459	103	3	�	�	PROPN
ejpam-459	103	4	.	.	PUNCT
ejpam-459	104	1	(	(	PUNCT
ejpam-459	104	2	25	25	NUM
ejpam-459	104	3	)	)	PUNCT
ejpam-459	104	4	if	if	SCONJ
ejpam-459	104	5	the	the	DET
ejpam-459	104	6	transformation	transformation	NOUN
ejpam-459	104	7	t	t	PROPN
ejpam-459	104	8	is	be	AUX
ejpam-459	104	9	applied	apply	VERB
ejpam-459	104	10	to	to	ADP
ejpam-459	104	11	the	the	DET
ejpam-459	104	12	hypersurface	hypersurface	NOUN
ejpam-459	104	13	s	s	X
ejpam-459	104	14	which	which	PRON
ejpam-459	104	15	is	be	AUX
ejpam-459	104	16	defined	define	VERB
ejpam-459	104	17	by	by	ADP
ejpam-459	104	18	the	the	DET
ejpam-459	104	19	equation	equation	NOUN
ejpam-459	104	20	(	(	PUNCT
ejpam-459	104	21	20	20	NUM
ejpam-459	104	22	)	)	PUNCT
ejpam-459	104	23	,	,	PUNCT
ejpam-459	104	24	then	then	ADV
ejpam-459	104	25	we	we	PRON
ejpam-459	104	26	get	get	VERB
ejpam-459	104	27	t	t	NOUN
ejpam-459	105	1	′	′	NUM
ejpam-459	105	2	:	:	PUNCT
ejpam-459	106	1	ya	ya	PRON
ejpam-459	106	2	=	=	SYM
ejpam-459	106	3	ya	ya	PROPN
ejpam-459	106	4	�	�	PROPN
ejpam-459	106	5	x1	x1	PROPN
ejpam-459	106	6	,	,	PUNCT
ejpam-459	106	7	x2	x2	PROPN
ejpam-459	106	8	,	,	PUNCT
ejpam-459	106	9	.	.	PUNCT
ejpam-459	106	10	.	.	PUNCT
ejpam-459	106	11	.	.	PUNCT
ejpam-459	107	1	,	,	PUNCT
ejpam-459	107	2	x	x	X
ejpam-459	108	1	n−1	n−1	PROPN
ejpam-459	108	2	,	,	PUNCT
ejpam-459	108	3	x	x	PUNCT
ejpam-459	108	4	n	n	PRON
ejpam-459	108	5	�	�	PROPN
ejpam-459	108	6	x1	x1	PROPN
ejpam-459	108	7	,	,	PUNCT
ejpam-459	108	8	x2	x2	PROPN
ejpam-459	108	9	,	,	PUNCT
ejpam-459	108	10	.	.	PUNCT
ejpam-459	108	11	.	.	PUNCT
ejpam-459	108	12	.	.	PUNCT
ejpam-459	109	1	,	,	PUNCT
ejpam-459	109	2	x	x	X
ejpam-459	109	3	n−1	n−1	PROPN
ejpam-459	109	4	�	�	PROPN
ejpam-459	109	5	�	�	PROPN
ejpam-459	109	6	.	.	PUNCT
ejpam-459	110	1	(	(	PUNCT
ejpam-459	110	2	26	26	NUM
ejpam-459	110	3	)	)	PUNCT
ejpam-459	110	4	so	so	SCONJ
ejpam-459	110	5	the	the	DET
ejpam-459	110	6	transformation	transformation	NOUN
ejpam-459	110	7	t	t	PROPN
ejpam-459	110	8	transforms	transform	VERB
ejpam-459	110	9	the	the	DET
ejpam-459	110	10	hypersurface	hypersurface	NOUN
ejpam-459	110	11	s	s	VERB
ejpam-459	110	12	to	to	ADP
ejpam-459	110	13	a	a	DET
ejpam-459	110	14	hypersurface	hypersurface	NOUN
ejpam-459	110	15	s∗	s∗	NOUN
ejpam-459	110	16	which	which	PRON
ejpam-459	110	17	is	be	AUX
ejpam-459	110	18	given	give	VERB
ejpam-459	110	19	by	by	ADP
ejpam-459	110	20	the	the	DET
ejpam-459	110	21	equation	equation	NOUN
ejpam-459	110	22	r∗	r∗	PROPN
ejpam-459	110	23	�	�	PROPN
ejpam-459	110	24	x1	x1	PROPN
ejpam-459	110	25	,	,	PUNCT
ejpam-459	110	26	x2	x2	PROPN
ejpam-459	110	27	,	,	PUNCT
ejpam-459	110	28	.	.	PUNCT
ejpam-459	110	29	.	.	PUNCT
ejpam-459	111	1	.	.	PUNCT
ejpam-459	112	1	,	,	PUNCT
ejpam-459	112	2	x	x	X
ejpam-459	112	3	n−1	n−1	PROPN
ejpam-459	112	4	�	�	PROPN
ejpam-459	112	5	=	=	SYM
ejpam-459	112	6	�	�	PROPN
ejpam-459	112	7	y1	y1	PROPN
ejpam-459	112	8	,	,	PUNCT
ejpam-459	112	9	y2	y2	PROPN
ejpam-459	112	10	,	,	PUNCT
ejpam-459	112	11	.	.	PUNCT
ejpam-459	112	12	.	.	PUNCT
ejpam-459	112	13	.	.	PUNCT
ejpam-459	113	1	,	,	PUNCT
ejpam-459	113	2	yn	yn	PROPN
ejpam-459	113	3	�	�	PROPN
ejpam-459	113	4	(	(	PUNCT
ejpam-459	113	5	27	27	NUM
ejpam-459	113	6	)	)	PUNCT
ejpam-459	113	7	where	where	SCONJ
ejpam-459	113	8	ya	ya	NOUN
ejpam-459	113	9	=	=	SYM
ejpam-459	113	10	ya(x1	ya(x1	PROPN
ejpam-459	113	11	,	,	PUNCT
ejpam-459	113	12	x2	x2	PROPN
ejpam-459	113	13	,	,	PUNCT
ejpam-459	113	14	.	.	PUNCT
ejpam-459	113	15	.	.	PUNCT
ejpam-459	113	16	.	.	PUNCT
ejpam-459	114	1	,	,	PUNCT
ejpam-459	114	2	x	x	X
ejpam-459	115	1	n−1	n−1	PROPN
ejpam-459	115	2	,	,	PUNCT
ejpam-459	115	3	x	x	PUNCT
ejpam-459	115	4	n	n	PRON
ejpam-459	115	5	�	�	PROPN
ejpam-459	115	6	x1	x1	PROPN
ejpam-459	115	7	,	,	PUNCT
ejpam-459	115	8	x2	x2	PROPN
ejpam-459	115	9	,	,	PUNCT
ejpam-459	115	10	.	.	PUNCT
ejpam-459	115	11	.	.	PUNCT
ejpam-459	115	12	.	.	PUNCT
ejpam-459	116	1	,	,	PUNCT
ejpam-459	116	2	x	x	X
ejpam-459	116	3	n−1	n−1	PROPN
ejpam-459	116	4	�	�	PROPN
ejpam-459	116	5	)	)	PUNCT
ejpam-459	116	6	,	,	PUNCT
ejpam-459	116	7	(	(	PUNCT
ejpam-459	116	8	a	a	PRON
ejpam-459	116	9	=	=	NOUN
ejpam-459	116	10	1	1	NUM
ejpam-459	116	11	,	,	PUNCT
ejpam-459	116	12	.	.	PUNCT
ejpam-459	116	13	.	.	PUNCT
ejpam-459	117	1	.	.	PUNCT
ejpam-459	117	2	,	,	PUNCT
ejpam-459	117	3	n	n	CCONJ
ejpam-459	117	4	)	)	PUNCT
ejpam-459	117	5	.	.	PUNCT
ejpam-459	118	1	for	for	ADP
ejpam-459	118	2	the	the	DET
ejpam-459	118	3	hypersurface	hypersurface	NOUN
ejpam-459	118	4	s∗	s∗	PROPN
ejpam-459	118	5	,	,	PUNCT
ejpam-459	118	6	k∗l∗	k∗l∗	NOUN
ejpam-459	119	1	i	i	PRON
ejpam-459	119	2	j	j	PROPN
ejpam-459	119	3	=	=	SYM
ejpam-459	119	4	�	�	PROPN
ejpam-459	119	5	�	�	PROPN
ejpam-459	119	6	�	�	PROPN
ejpam-459	119	7	t	t	PROPN
ejpam-459	119	8	′	′	NUM
ejpam-459	119	9	,	,	PUNCT
ejpam-459	119	10	1	1	NUM
ejpam-459	119	11	t′	t′	NUM
ejpam-459	119	12	,	,	PUNCT
ejpam-459	119	13	2	2	NUM
ejpam-459	119	14	·	·	PUNCT
ejpam-459	119	15	·	·	PUNCT
ejpam-459	119	16	·	·	PUNCT
ejpam-459	119	17	t′	t′	NUM
ejpam-459	119	18	,	,	PUNCT
ejpam-459	119	19	n−1	n−1	PROPN
ejpam-459	119	20	t′	t′	NUM
ejpam-459	119	21	,	,	PUNCT
ejpam-459	120	1	i	i	PRON
ejpam-459	120	2	j	j	PROPN
ejpam-459	120	3	�	�	PROPN
ejpam-459	120	4	�	�	PROPN
ejpam-459	120	5	�	�	PROPN
ejpam-459	120	6	(	(	PUNCT
ejpam-459	120	7	28	28	NUM
ejpam-459	120	8	)	)	PUNCT
ejpam-459	120	9	y.	y.	NOUN
ejpam-459	120	10	alagöz	alagöz	PROPN
ejpam-459	120	11	and	and	CCONJ
ejpam-459	120	12	z.	z.	PROPN
ejpam-459	120	13	soyuçok	soyuçok	ADJ
ejpam-459	120	14	/	/	SYM
ejpam-459	120	15	eur	eur	PROPN
ejpam-459	120	16	.	.	PUNCT
ejpam-459	121	1	j.	j.	PROPN
ejpam-459	121	2	pure	pure	PROPN
ejpam-459	121	3	appl	appl	PROPN
ejpam-459	121	4	.	.	PROPN
ejpam-459	121	5	math	math	PROPN
ejpam-459	121	6	,	,	PUNCT
ejpam-459	121	7	2	2	NUM
ejpam-459	121	8	(	(	PUNCT
ejpam-459	121	9	2009	2009	NUM
ejpam-459	121	10	)	)	PUNCT
ejpam-459	121	11	,	,	PUNCT
ejpam-459	121	12	(	(	PUNCT
ejpam-459	121	13	564	564	NUM
ejpam-459	121	14	-	-	SYM
ejpam-459	121	15	573	573	NUM
ejpam-459	121	16	)	)	PUNCT
ejpam-459	121	17	569	569	NUM
ejpam-459	121	18	is	be	AUX
ejpam-459	121	19	obtained	obtain	VERB
ejpam-459	121	20	from	from	ADP
ejpam-459	121	21	(	(	PUNCT
ejpam-459	121	22	18	18	NUM
ejpam-459	121	23	)	)	PUNCT
ejpam-459	121	24	,	,	PUNCT
ejpam-459	121	25	where	where	SCONJ
ejpam-459	121	26	t	t	NOUN
ejpam-459	121	27	′	′	NUM
ejpam-459	121	28	,	,	PUNCT
ejpam-459	121	29	i	i	PRON
ejpam-459	121	30	=	=	SYM
ejpam-459	121	31	t	t	PROPN
ejpam-459	121	32	,	,	PUNCT
ejpam-459	121	33	i	i	PROPN
ejpam-459	121	34	+	+	PROPN
ejpam-459	121	35	t	t	PROPN
ejpam-459	121	36	,	,	PUNCT
ejpam-459	121	37	nx	nx	PROPN
ejpam-459	121	38	n	n	PROPN
ejpam-459	121	39	,	,	PUNCT
ejpam-459	121	40	i	i	PRON
ejpam-459	121	41	,	,	PUNCT
ejpam-459	121	42	t	t	PROPN
ejpam-459	121	43	′	′	NUM
ejpam-459	121	44	,	,	PUNCT
ejpam-459	122	1	i	i	PRON
ejpam-459	122	2	j	j	PROPN
ejpam-459	122	3	=	=	SYM
ejpam-459	122	4	t	t	PROPN
ejpam-459	122	5	,	,	PUNCT
ejpam-459	122	6	i	i	PRON
ejpam-459	122	7	j	j	PROPN
ejpam-459	123	1	+	+	PROPN
ejpam-459	123	2	t	t	PROPN
ejpam-459	123	3	,	,	PUNCT
ejpam-459	123	4	inx	inx	NOUN
ejpam-459	123	5	n	n	PRON
ejpam-459	123	6	,	,	PUNCT
ejpam-459	123	7	j	j	PROPN
ejpam-459	123	8	+	+	PROPN
ejpam-459	123	9	t	t	PROPN
ejpam-459	123	10	,	,	PUNCT
ejpam-459	123	11	nj	nj	PROPN
ejpam-459	123	12	x	x	SYM
ejpam-459	124	1	n	n	PROPN
ejpam-459	124	2	,	,	PUNCT
ejpam-459	124	3	i	i	PROPN
ejpam-459	124	4	+	+	PROPN
ejpam-459	124	5	t	t	PROPN
ejpam-459	124	6	,	,	PUNCT
ejpam-459	124	7	nnx	nnx	PROPN
ejpam-459	124	8	n	n	NOUN
ejpam-459	124	9	,	,	PUNCT
ejpam-459	124	10	i	i	PRON
ejpam-459	124	11	x	x	SYM
ejpam-459	125	1	n	n	PROPN
ejpam-459	125	2	,	,	PUNCT
ejpam-459	125	3	j	j	PROPN
ejpam-459	125	4	+	+	PROPN
ejpam-459	125	5	t	t	PROPN
ejpam-459	125	6	,	,	PUNCT
ejpam-459	125	7	nx	nx	PROPN
ejpam-459	125	8	n	n	PROPN
ejpam-459	125	9	,	,	PUNCT
ejpam-459	125	10	i	i	PRON
ejpam-459	125	11	j	j	PROPN
ejpam-459	125	12	,	,	PUNCT
ejpam-459	125	13	(	(	PUNCT
ejpam-459	125	14	29	29	NUM
ejpam-459	125	15	)	)	PUNCT
ejpam-459	125	16	and	and	CCONJ
ejpam-459	125	17	t	t	PROPN
ejpam-459	125	18	,	,	PUNCT
ejpam-459	125	19	i	i	PRON
ejpam-459	125	20	j	j	NOUN
ejpam-459	126	1	=	=	PUNCT
ejpam-459	126	2			PROPN
ejpam-459	126	3			ADJ
ejpam-459	126	4			ADJ
ejpam-459	126	5			ADJ
ejpam-459	126	6			ADJ
ejpam-459	126	7			ADJ
ejpam-459	126	8			ADJ
ejpam-459	126	9			NUM
ejpam-459	126	10	y1	y1	NOUN
ejpam-459	126	11	,	,	PUNCT
ejpam-459	126	12	i	i	PRON
ejpam-459	126	13	j	j	PROPN
ejpam-459	127	1	y2	y2	INTJ
ejpam-459	127	2	,	,	PUNCT
ejpam-459	127	3	i	i	PRON
ejpam-459	127	4	j	j	PROPN
ejpam-459	127	5	...	...	PUNCT
ejpam-459	128	1	yn	yn	INTJ
ejpam-459	128	2	,	,	PUNCT
ejpam-459	128	3	i	i	PRON
ejpam-459	128	4	j	j	PROPN
ejpam-459	128	5			PROPN
ejpam-459	128	6			PROPN
ejpam-459	128	7			PROPN
ejpam-459	128	8			PROPN
ejpam-459	128	9			PROPN
ejpam-459	128	10			PROPN
ejpam-459	128	11			PROPN
ejpam-459	128	12			PROPN
ejpam-459	128	13	,	,	PUNCT
ejpam-459	128	14	�	�	PROPN
ejpam-459	128	15	ya	ya	PROPN
ejpam-459	128	16	,	,	PUNCT
ejpam-459	128	17	i	i	PRON
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ejpam-459	128	19	=	=	SYM
ejpam-459	128	20	∂	∂	NUM
ejpam-459	128	21	2	2	NUM
ejpam-459	128	22	ya	ya	NOUN
ejpam-459	128	23	∂	∂	NOUN
ejpam-459	128	24	x	x	VERB
ejpam-459	128	25	i∂	i∂	VERB
ejpam-459	128	26	x	x	PUNCT
ejpam-459	128	27	j	j	PROPN
ejpam-459	128	28	;	;	PUNCT
ejpam-459	129	1	i	i	PRON
ejpam-459	129	2	,	,	PUNCT
ejpam-459	129	3	j	j	PROPN
ejpam-459	129	4	=	=	SYM
ejpam-459	129	5	1	1	NUM
ejpam-459	129	6	,	,	PUNCT
ejpam-459	129	7	2	2	NUM
ejpam-459	129	8	,	,	PUNCT
ejpam-459	129	9	.	.	PUNCT
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ejpam-459	129	11	.	.	PUNCT
ejpam-459	130	1	,	,	PUNCT
ejpam-459	130	2	n−	n−	NOUN
ejpam-459	130	3	1	1	NUM
ejpam-459	130	4	�	�	PROPN
ejpam-459	130	5	.	.	PUNCT
ejpam-459	131	1	(	(	PUNCT
ejpam-459	131	2	30	30	NUM
ejpam-459	131	3	)	)	PUNCT
ejpam-459	131	4	using	use	VERB
ejpam-459	131	5	(	(	PUNCT
ejpam-459	131	6	29	29	NUM
ejpam-459	131	7	)	)	PUNCT
ejpam-459	131	8	and	and	CCONJ
ejpam-459	131	9	(	(	PUNCT
ejpam-459	131	10	30	30	NUM
ejpam-459	131	11	)	)	PUNCT
ejpam-459	131	12	,	,	PUNCT
ejpam-459	131	13	from	from	ADP
ejpam-459	131	14	(	(	PUNCT
ejpam-459	131	15	28	28	NUM
ejpam-459	131	16	)	)	PUNCT
ejpam-459	131	17	we	we	PRON
ejpam-459	131	18	can	can	AUX
ejpam-459	131	19	write	write	VERB
ejpam-459	131	20	k∗l∗	k∗l∗	NOUN
ejpam-459	131	21	ii	ii	PROPN
ejpam-459	131	22	=	=	SYM
ejpam-459	131	23	�	�	PROPN
ejpam-459	131	24	�	�	PROPN
ejpam-459	131	25	�	�	PROPN
ejpam-459	131	26	t,1t,2	t,1t,2	NOUN
ejpam-459	131	27	...	...	PUNCT
ejpam-459	132	1	t	t	X
ejpam-459	132	2	,	,	PUNCT
ejpam-459	132	3	n−1t	n−1t	PROPN
ejpam-459	132	4	,	,	PUNCT
ejpam-459	132	5	ii	ii	PROPN
ejpam-459	132	6	�	�	PROPN
ejpam-459	132	7	�	�	PROPN
ejpam-459	132	8	�	�	PROPN
ejpam-459	132	9	+	+	PROPN
ejpam-459	132	10	�	�	PROPN
ejpam-459	132	11	�	�	PROPN
ejpam-459	132	12	�	�	PROPN
ejpam-459	132	13	t	t	PROPN
ejpam-459	132	14	,	,	PUNCT
ejpam-459	132	15	nt,2	nt,2	PROPN
ejpam-459	132	16	...	...	PUNCT
ejpam-459	133	1	t	t	X
ejpam-459	133	2	,	,	PUNCT
ejpam-459	133	3	n−1t	n−1t	PROPN
ejpam-459	133	4	,	,	PUNCT
ejpam-459	133	5	ii	ii	PROPN
ejpam-459	133	6	�	�	PROPN
ejpam-459	133	7	�	�	PROPN
ejpam-459	133	8	�	�	PROPN
ejpam-459	133	9	x	x	SYM
ejpam-459	133	10	n	n	PROPN
ejpam-459	133	11	,	,	PUNCT
ejpam-459	133	12	1	1	NUM
ejpam-459	133	13	+	+	NUM
ejpam-459	133	14	�	�	PROPN
ejpam-459	133	15	�	�	PROPN
ejpam-459	133	16	�	�	PROPN
ejpam-459	133	17	t,1t	t,1t	PROPN
ejpam-459	133	18	,	,	PUNCT
ejpam-459	133	19	n	n	NOUN
ejpam-459	133	20	...	...	PUNCT
ejpam-459	134	1	t	t	X
ejpam-459	134	2	,	,	PUNCT
ejpam-459	134	3	n−1t	n−1t	PROPN
ejpam-459	134	4	,	,	PUNCT
ejpam-459	134	5	ii	ii	PROPN
ejpam-459	134	6	�	�	PROPN
ejpam-459	134	7	�	�	PROPN
ejpam-459	134	8	�	�	PROPN
ejpam-459	134	9	x	x	SYM
ejpam-459	134	10	n	n	PROPN
ejpam-459	134	11	,	,	PUNCT
ejpam-459	134	12	2	2	NUM
ejpam-459	134	13	+	+	NUM
ejpam-459	134	14	...	...	PUNCT
ejpam-459	134	15	+	+	CCONJ
ejpam-459	134	16	�	�	PROPN
ejpam-459	134	17	�	�	PROPN
ejpam-459	134	18	�	�	PROPN
ejpam-459	134	19	t,1t,2	t,1t,2	NOUN
ejpam-459	134	20	...	...	PUNCT
ejpam-459	135	1	t	t	X
ejpam-459	135	2	,	,	PUNCT
ejpam-459	135	3	nt	not	PART
ejpam-459	135	4	,	,	PUNCT
ejpam-459	135	5	n−1t	n−1t	PROPN
ejpam-459	135	6	,	,	PUNCT
ejpam-459	135	7	ii	ii	PROPN
ejpam-459	135	8	�	�	PROPN
ejpam-459	135	9	�	�	PROPN
ejpam-459	135	10	�	�	PROPN
ejpam-459	135	11	x	x	SYM
ejpam-459	135	12	n	n	PROPN
ejpam-459	135	13	,	,	PUNCT
ejpam-459	135	14	n−2	n−2	PROPN
ejpam-459	135	15	+	+	CCONJ
ejpam-459	135	16	�	�	PROPN
ejpam-459	135	17	�	�	PROPN
ejpam-459	135	18	�	�	PROPN
ejpam-459	135	19	t,1t,2	t,1t,2	NOUN
ejpam-459	135	20	...	...	PUNCT
ejpam-459	136	1	t	t	X
ejpam-459	136	2	,	,	PUNCT
ejpam-459	136	3	n−2t	n−2t	NOUN
ejpam-459	136	4	,	,	PUNCT
ejpam-459	136	5	nt	not	PART
ejpam-459	136	6	,	,	PUNCT
ejpam-459	136	7	ii	ii	PROPN
ejpam-459	136	8	�	�	PROPN
ejpam-459	136	9	�	�	PROPN
ejpam-459	136	10	�	�	PROPN
ejpam-459	136	11	x	x	SYM
ejpam-459	136	12	n	n	PROPN
ejpam-459	136	13	,	,	PUNCT
ejpam-459	136	14	n−1	n−1	PROPN
ejpam-459	136	15	+	+	CCONJ
ejpam-459	136	16	2	2	NUM
ejpam-459	136	17	�	�	PROPN
ejpam-459	136	18	�	�	PROPN
ejpam-459	136	19	�	�	PROPN
ejpam-459	136	20	t,1t,2	t,1t,2	NOUN
ejpam-459	136	21	...	...	PUNCT
ejpam-459	137	1	t	t	X
ejpam-459	137	2	,	,	PUNCT
ejpam-459	137	3	n−1t	n−1t	PROPN
ejpam-459	137	4	,	,	PUNCT
ejpam-459	137	5	in	in	ADP
ejpam-459	137	6	�	�	PROPN
ejpam-459	137	7	�	�	PROPN
ejpam-459	137	8	�	�	PROPN
ejpam-459	137	9	x	x	SYM
ejpam-459	137	10	n	n	PROPN
ejpam-459	137	11	,	,	PUNCT
ejpam-459	137	12	i	i	PRON
ejpam-459	137	13	+2	+2	PROPN
ejpam-459	137	14	�	�	PROPN
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ejpam-459	137	16	�	�	PROPN
ejpam-459	137	17	t	t	PROPN
ejpam-459	137	18	,	,	PUNCT
ejpam-459	137	19	nt,2	nt,2	PROPN
ejpam-459	137	20	...	...	PUNCT
ejpam-459	138	1	t	t	X
ejpam-459	138	2	,	,	PUNCT
ejpam-459	138	3	n−1t	n−1t	PROPN
ejpam-459	138	4	,	,	PUNCT
ejpam-459	138	5	in	in	ADP
ejpam-459	138	6	�	�	PROPN
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ejpam-459	138	8	�	�	PROPN
ejpam-459	138	9	x	x	SYM
ejpam-459	138	10	n	n	PROPN
ejpam-459	138	11	,	,	PUNCT
ejpam-459	138	12	i	i	PRON
ejpam-459	138	13	x	x	SYM
ejpam-459	138	14	n	n	PROPN
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ejpam-459	138	16	1	1	NUM
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ejpam-459	138	18	2	2	NUM
ejpam-459	138	19	�	�	PROPN
ejpam-459	138	20	�	�	PROPN
ejpam-459	138	21	�	�	PROPN
ejpam-459	138	22	t,1t	t,1t	PROPN
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ejpam-459	138	25	...	...	PUNCT
ejpam-459	139	1	t	t	X
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ejpam-459	139	3	n−1t	n−1t	PROPN
ejpam-459	139	4	,	,	PUNCT
ejpam-459	139	5	in	in	ADP
ejpam-459	139	6	�	�	PROPN
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ejpam-459	139	8	�	�	PROPN
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ejpam-459	139	10	n	n	PROPN
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ejpam-459	139	12	i	i	PRON
ejpam-459	139	13	x	x	SYM
ejpam-459	139	14	n	n	PROPN
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ejpam-459	139	16	2	2	NUM
ejpam-459	139	17	+	+	NOUN
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ejpam-459	139	19	+	+	CCONJ
ejpam-459	139	20	2	2	NUM
ejpam-459	139	21	�	�	PROPN
ejpam-459	139	22	�	�	PROPN
ejpam-459	139	23	�	�	PROPN
ejpam-459	139	24	t,1t,2	t,1t,2	NOUN
ejpam-459	139	25	...	...	PUNCT
ejpam-459	140	1	t	t	X
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ejpam-459	140	3	nt	not	PART
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ejpam-459	140	7	in	in	ADP
ejpam-459	140	8	�	�	PROPN
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ejpam-459	140	10	�	�	PROPN
ejpam-459	140	11	x	x	SYM
ejpam-459	140	12	n	n	PROPN
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ejpam-459	140	14	i	i	PRON
ejpam-459	140	15	x	x	SYM
ejpam-459	140	16	n	n	PROPN
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ejpam-459	140	18	n−2	n−2	PROPN
ejpam-459	140	19	+2	+2	PROPN
ejpam-459	140	20	�	�	PROPN
ejpam-459	140	21	�	�	PROPN
ejpam-459	140	22	�	�	PROPN
ejpam-459	140	23	t,1t,2	t,1t,2	NOUN
ejpam-459	140	24	...	...	PUNCT
ejpam-459	141	1	t	t	X
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ejpam-459	141	4	,	,	PUNCT
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ejpam-459	141	8	�	�	PROPN
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ejpam-459	141	10	�	�	PROPN
ejpam-459	141	11	x	x	SYM
ejpam-459	141	12	n	n	PROPN
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ejpam-459	141	14	i	i	PRON
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ejpam-459	141	16	n	n	PROPN
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ejpam-459	141	18	n−1	n−1	PROPN
ejpam-459	141	19	+	+	CCONJ
ejpam-459	141	20	�	�	PROPN
ejpam-459	141	21	�	�	PROPN
ejpam-459	141	22	�	�	PROPN
ejpam-459	141	23	t,1t,2	t,1t,2	NOUN
ejpam-459	141	24	...	...	PUNCT
ejpam-459	142	1	t	t	X
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ejpam-459	142	3	n−1t	n−1t	PROPN
ejpam-459	142	4	,	,	PUNCT
ejpam-459	142	5	nn	nn	PROPN
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ejpam-459	142	7	�	�	PROPN
ejpam-459	142	8	�	�	PROPN
ejpam-459	142	9	(	(	PUNCT
ejpam-459	142	10	x	x	SYM
ejpam-459	142	11	n	n	X
ejpam-459	142	12	,	,	PUNCT
ejpam-459	142	13	i	i	NOUN
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ejpam-459	142	15	2	2	X
ejpam-459	142	16	+	+	NUM
ejpam-459	142	17	�	�	PROPN
ejpam-459	142	18	�	�	PROPN
ejpam-459	142	19	�	�	PROPN
ejpam-459	142	20	t	t	PROPN
ejpam-459	142	21	,	,	PUNCT
ejpam-459	142	22	nt,2	nt,2	PROPN
ejpam-459	142	23	...	...	PUNCT
ejpam-459	143	1	t	t	X
ejpam-459	143	2	,	,	PUNCT
ejpam-459	143	3	n−1t	n−1t	PROPN
ejpam-459	143	4	,	,	PUNCT
ejpam-459	143	5	nn	nn	PROPN
ejpam-459	143	6	�	�	PROPN
ejpam-459	143	7	�	�	PROPN
ejpam-459	143	8	�	�	PROPN
ejpam-459	143	9	(	(	PUNCT
ejpam-459	143	10	x	x	SYM
ejpam-459	143	11	n	n	X
ejpam-459	143	12	,	,	PUNCT
ejpam-459	143	13	i	i	NOUN
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ejpam-459	143	15	2	2	NUM
ejpam-459	143	16	x	x	SYM
ejpam-459	143	17	n	n	NOUN
ejpam-459	143	18	,	,	PUNCT
ejpam-459	143	19	1	1	NUM
ejpam-459	143	20	+	+	NUM
ejpam-459	143	21	�	�	PROPN
ejpam-459	143	22	�	�	PROPN
ejpam-459	143	23	�	�	PROPN
ejpam-459	143	24	t,1t	t,1t	PROPN
ejpam-459	143	25	,	,	PUNCT
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ejpam-459	143	27	...	...	PUNCT
ejpam-459	143	28	t	t	X
ejpam-459	143	29	,	,	PUNCT
ejpam-459	143	30	n−1t	n−1t	PROPN
ejpam-459	143	31	,	,	PUNCT
ejpam-459	143	32	nn	nn	PROPN
ejpam-459	143	33	�	�	PROPN
ejpam-459	143	34	�	�	PROPN
ejpam-459	143	35	�	�	PROPN
ejpam-459	143	36	(	(	PUNCT
ejpam-459	143	37	x	x	SYM
ejpam-459	143	38	n	n	X
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ejpam-459	143	42	2	2	NUM
ejpam-459	143	43	x	x	SYM
ejpam-459	143	44	n	n	NOUN
ejpam-459	143	45	,	,	PUNCT
ejpam-459	143	46	2	2	NUM
ejpam-459	143	47	+	+	NOUN
ejpam-459	143	48	...	...	PUNCT
ejpam-459	143	49	+	+	CCONJ
ejpam-459	143	50	�	�	PROPN
ejpam-459	143	51	�	�	PROPN
ejpam-459	143	52	�	�	PROPN
ejpam-459	143	53	t,1t,2	t,1t,2	NOUN
ejpam-459	143	54	...	...	PUNCT
ejpam-459	144	1	t	t	X
ejpam-459	144	2	,	,	PUNCT
ejpam-459	144	3	nt	not	PART
ejpam-459	144	4	,	,	PUNCT
ejpam-459	144	5	n−1t	n−1t	PROPN
ejpam-459	144	6	,	,	PUNCT
ejpam-459	144	7	nn	nn	PROPN
ejpam-459	144	8	�	�	PROPN
ejpam-459	144	9	�	�	PROPN
ejpam-459	144	10	�	�	PROPN
ejpam-459	144	11	(	(	PUNCT
ejpam-459	144	12	x	x	SYM
ejpam-459	144	13	n	n	X
ejpam-459	144	14	,	,	PUNCT
ejpam-459	144	15	i	i	NOUN
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ejpam-459	144	17	2	2	NUM
ejpam-459	144	18	x	x	SYM
ejpam-459	144	19	n	n	NOUN
ejpam-459	144	20	,	,	PUNCT
ejpam-459	144	21	n−2	n−2	PROPN
ejpam-459	144	22	+	+	CCONJ
ejpam-459	144	23	�	�	PROPN
ejpam-459	144	24	�	�	PROPN
ejpam-459	144	25	�	�	PROPN
ejpam-459	144	26	t,1t,2	t,1t,2	NOUN
ejpam-459	144	27	...	...	PUNCT
ejpam-459	145	1	t	t	X
ejpam-459	145	2	,	,	PUNCT
ejpam-459	145	3	n−2t	n−2t	NOUN
ejpam-459	145	4	,	,	PUNCT
ejpam-459	145	5	nt	not	PART
ejpam-459	145	6	,	,	PUNCT
ejpam-459	145	7	nn	nn	PROPN
ejpam-459	145	8	�	�	PROPN
ejpam-459	145	9	�	�	PROPN
ejpam-459	145	10	�	�	PROPN
ejpam-459	145	11	(	(	PUNCT
ejpam-459	145	12	x	x	SYM
ejpam-459	145	13	n	n	X
ejpam-459	145	14	,	,	PUNCT
ejpam-459	145	15	i	i	NOUN
ejpam-459	145	16	)	)	PUNCT
ejpam-459	145	17	2	2	NUM
ejpam-459	145	18	x	x	SYM
ejpam-459	145	19	n	n	PROPN
ejpam-459	145	20	,	,	PUNCT
ejpam-459	145	21	n−1	n−1	PROPN
ejpam-459	145	22	+	+	PROPN
ejpam-459	145	23	∆.x	∆.x	PROPN
ejpam-459	145	24	n	n	PRON
ejpam-459	145	25	,	,	PUNCT
ejpam-459	145	26	ii	ii	PROPN
ejpam-459	145	27	(	(	PUNCT
ejpam-459	145	28	31	31	NUM
ejpam-459	145	29	)	)	PUNCT
ejpam-459	145	30	and	and	CCONJ
ejpam-459	145	31	k∗l∗	k∗l∗	X
ejpam-459	146	1	i	i	PRON
ejpam-459	146	2	j	j	NOUN
ejpam-459	146	3	=	=	SYM
ejpam-459	146	4	�	�	PROPN
ejpam-459	146	5	�	�	PROPN
ejpam-459	146	6	�	�	PROPN
ejpam-459	146	7	t,1t,2	t,1t,2	NOUN
ejpam-459	146	8	...	...	PUNCT
ejpam-459	147	1	t	t	X
ejpam-459	147	2	,	,	PUNCT
ejpam-459	147	3	n−1t	n−1t	PROPN
ejpam-459	147	4	,	,	PUNCT
ejpam-459	147	5	i	i	PRON
ejpam-459	147	6	j	j	PROPN
ejpam-459	147	7	�	�	PROPN
ejpam-459	147	8	�	�	PROPN
ejpam-459	147	9	�	�	PROPN
ejpam-459	147	10	+	+	PROPN
ejpam-459	147	11	�	�	PROPN
ejpam-459	147	12	�	�	PROPN
ejpam-459	147	13	�	�	PROPN
ejpam-459	147	14	t	t	PROPN
ejpam-459	147	15	,	,	PUNCT
ejpam-459	147	16	nt,2	nt,2	PROPN
ejpam-459	147	17	...	...	PUNCT
ejpam-459	148	1	t	t	X
ejpam-459	148	2	,	,	PUNCT
ejpam-459	148	3	n−1t	n−1t	PROPN
ejpam-459	148	4	,	,	PUNCT
ejpam-459	148	5	i	i	PRON
ejpam-459	148	6	j	j	PROPN
ejpam-459	148	7	�	�	PROPN
ejpam-459	148	8	�	�	PROPN
ejpam-459	148	9	�	�	PROPN
ejpam-459	148	10	x	x	SYM
ejpam-459	148	11	n	n	PROPN
ejpam-459	148	12	,	,	PUNCT
ejpam-459	148	13	1	1	NUM
ejpam-459	148	14	+	+	NUM
ejpam-459	148	15	�	�	PROPN
ejpam-459	148	16	�	�	PROPN
ejpam-459	148	17	�	�	PROPN
ejpam-459	148	18	t,1t	t,1t	PROPN
ejpam-459	148	19	,	,	PUNCT
ejpam-459	148	20	n	n	NOUN
ejpam-459	148	21	...	...	PUNCT
ejpam-459	149	1	t	t	X
ejpam-459	149	2	,	,	PUNCT
ejpam-459	149	3	n−1t	n−1t	PROPN
ejpam-459	149	4	,	,	PUNCT
ejpam-459	149	5	i	i	PRON
ejpam-459	149	6	j	j	PROPN
ejpam-459	149	7	�	�	PROPN
ejpam-459	149	8	�	�	PROPN
ejpam-459	149	9	�	�	PROPN
ejpam-459	149	10	x	x	SYM
ejpam-459	149	11	n	n	PROPN
ejpam-459	149	12	,	,	PUNCT
ejpam-459	149	13	2	2	NUM
ejpam-459	149	14	+	+	NUM
ejpam-459	149	15	...	...	PUNCT
ejpam-459	149	16	+	+	CCONJ
ejpam-459	149	17	�	�	PROPN
ejpam-459	149	18	�	�	PROPN
ejpam-459	149	19	�	�	PROPN
ejpam-459	149	20	t,1t,2	t,1t,2	NOUN
ejpam-459	149	21	...	...	PUNCT
ejpam-459	150	1	t	t	X
ejpam-459	150	2	,	,	PUNCT
ejpam-459	150	3	nt	not	PART
ejpam-459	150	4	,	,	PUNCT
ejpam-459	150	5	n−1t	n−1t	PROPN
ejpam-459	150	6	,	,	PUNCT
ejpam-459	150	7	i	i	PRON
ejpam-459	150	8	j	j	PROPN
ejpam-459	150	9	�	�	PROPN
ejpam-459	150	10	�	�	PROPN
ejpam-459	150	11	�	�	PROPN
ejpam-459	150	12	x	x	SYM
ejpam-459	150	13	n	n	PROPN
ejpam-459	150	14	,	,	PUNCT
ejpam-459	150	15	n−2	n−2	PROPN
ejpam-459	150	16	+	+	CCONJ
ejpam-459	150	17	�	�	PROPN
ejpam-459	150	18	�	�	PROPN
ejpam-459	150	19	�	�	PROPN
ejpam-459	150	20	t,1t,2	t,1t,2	NOUN
ejpam-459	150	21	...	...	PUNCT
ejpam-459	151	1	t	t	X
ejpam-459	151	2	,	,	PUNCT
ejpam-459	151	3	n−2t	n−2t	NOUN
ejpam-459	151	4	,	,	PUNCT
ejpam-459	151	5	nt	not	PART
ejpam-459	151	6	,	,	PUNCT
ejpam-459	151	7	i	i	PRON
ejpam-459	151	8	j	j	PROPN
ejpam-459	151	9	�	�	PROPN
ejpam-459	151	10	�	�	PROPN
ejpam-459	151	11	�	�	PROPN
ejpam-459	151	12	x	x	SYM
ejpam-459	151	13	n	n	PROPN
ejpam-459	151	14	,	,	PUNCT
ejpam-459	151	15	n−1	n−1	PROPN
ejpam-459	151	16	+	+	CCONJ
ejpam-459	151	17	�	�	PROPN
ejpam-459	151	18	�	�	PROPN
ejpam-459	151	19	�	�	PROPN
ejpam-459	151	20	t,1t,2	t,1t,2	NOUN
ejpam-459	151	21	...	...	PUNCT
ejpam-459	152	1	t	t	X
ejpam-459	152	2	,	,	PUNCT
ejpam-459	152	3	n−1t	n−1t	PROPN
ejpam-459	152	4	,	,	PUNCT
ejpam-459	152	5	nj	nj	PROPN
ejpam-459	152	6	�	�	PROPN
ejpam-459	152	7	�	�	PROPN
ejpam-459	152	8	�	�	PROPN
ejpam-459	152	9	x	x	SYM
ejpam-459	152	10	n	n	PROPN
ejpam-459	152	11	,	,	PUNCT
ejpam-459	152	12	i	i	PRON
ejpam-459	152	13	+	+	CCONJ
ejpam-459	152	14	�	�	PROPN
ejpam-459	152	15	�	�	PROPN
ejpam-459	152	16	�	�	PROPN
ejpam-459	152	17	t	t	PROPN
ejpam-459	152	18	,	,	PUNCT
ejpam-459	152	19	nt,2	nt,2	PROPN
ejpam-459	152	20	...	...	PUNCT
ejpam-459	153	1	t	t	X
ejpam-459	153	2	,	,	PUNCT
ejpam-459	153	3	n−1t	n−1t	PROPN
ejpam-459	153	4	,	,	PUNCT
ejpam-459	153	5	nj	nj	PROPN
ejpam-459	153	6	�	�	PROPN
ejpam-459	153	7	�	�	PROPN
ejpam-459	153	8	�	�	PROPN
ejpam-459	153	9	x	x	SYM
ejpam-459	153	10	n	n	PROPN
ejpam-459	153	11	,	,	PUNCT
ejpam-459	153	12	i	i	PRON
ejpam-459	153	13	x	x	SYM
ejpam-459	153	14	n	n	PROPN
ejpam-459	153	15	,	,	PUNCT
ejpam-459	153	16	1	1	NUM
ejpam-459	153	17	+	+	NUM
ejpam-459	153	18	�	�	PROPN
ejpam-459	153	19	�	�	PROPN
ejpam-459	153	20	�	�	PROPN
ejpam-459	153	21	t,1t	t,1t	PROPN
ejpam-459	153	22	,	,	PUNCT
ejpam-459	153	23	n	n	NOUN
ejpam-459	153	24	...	...	PUNCT
ejpam-459	154	1	t	t	X
ejpam-459	154	2	,	,	PUNCT
ejpam-459	154	3	n−1t	n−1t	PROPN
ejpam-459	154	4	,	,	PUNCT
ejpam-459	154	5	nj	nj	PROPN
ejpam-459	154	6	�	�	PROPN
ejpam-459	154	7	�	�	PROPN
ejpam-459	154	8	�	�	PROPN
ejpam-459	154	9	x	x	SYM
ejpam-459	154	10	n	n	PROPN
ejpam-459	154	11	,	,	PUNCT
ejpam-459	154	12	i	i	PRON
ejpam-459	154	13	x	x	SYM
ejpam-459	154	14	n	n	X
ejpam-459	154	15	,	,	PUNCT
ejpam-459	154	16	2	2	NUM
ejpam-459	154	17	y.	y.	NOUN
ejpam-459	154	18	alagöz	alagöz	NOUN
ejpam-459	154	19	and	and	CCONJ
ejpam-459	154	20	z.	z.	PROPN
ejpam-459	154	21	soyuçok	soyuçok	ADJ
ejpam-459	154	22	/	/	SYM
ejpam-459	154	23	eur	eur	PROPN
ejpam-459	154	24	.	.	PUNCT
ejpam-459	155	1	j.	j.	PROPN
ejpam-459	155	2	pure	pure	PROPN
ejpam-459	155	3	appl	appl	PROPN
ejpam-459	155	4	.	.	PROPN
ejpam-459	155	5	math	math	PROPN
ejpam-459	155	6	,	,	PUNCT
ejpam-459	155	7	2	2	NUM
ejpam-459	155	8	(	(	PUNCT
ejpam-459	155	9	2009	2009	NUM
ejpam-459	155	10	)	)	PUNCT
ejpam-459	155	11	,	,	PUNCT
ejpam-459	155	12	(	(	PUNCT
ejpam-459	155	13	564	564	NUM
ejpam-459	155	14	-	-	SYM
ejpam-459	155	15	573	573	NUM
ejpam-459	155	16	)	)	PUNCT
ejpam-459	155	17	570	570	NUM
ejpam-459	155	18	+	+	NOUN
ejpam-459	155	19	...	...	PUNCT
ejpam-459	155	20	+	+	CCONJ
ejpam-459	155	21	�	�	PROPN
ejpam-459	155	22	�	�	PROPN
ejpam-459	155	23	�	�	PROPN
ejpam-459	155	24	t,1t,2	t,1t,2	NOUN
ejpam-459	155	25	...	...	PUNCT
ejpam-459	156	1	t	t	X
ejpam-459	156	2	,	,	PUNCT
ejpam-459	156	3	nt	not	PART
ejpam-459	156	4	,	,	PUNCT
ejpam-459	156	5	n−1t	n−1t	PROPN
ejpam-459	156	6	,	,	PUNCT
ejpam-459	156	7	nj	nj	PROPN
ejpam-459	156	8	�	�	PROPN
ejpam-459	156	9	�	�	PROPN
ejpam-459	156	10	�	�	PROPN
ejpam-459	156	11	x	x	SYM
ejpam-459	156	12	n	n	PROPN
ejpam-459	156	13	,	,	PUNCT
ejpam-459	156	14	i	i	PRON
ejpam-459	156	15	x	x	SYM
ejpam-459	156	16	n	n	PROPN
ejpam-459	156	17	,	,	PUNCT
ejpam-459	156	18	n−2	n−2	PROPN
ejpam-459	156	19	+	+	CCONJ
ejpam-459	156	20	�	�	PROPN
ejpam-459	156	21	�	�	PROPN
ejpam-459	156	22	�	�	PROPN
ejpam-459	156	23	t,1t,2	t,1t,2	NOUN
ejpam-459	156	24	...	...	PUNCT
ejpam-459	157	1	t	t	X
ejpam-459	157	2	,	,	PUNCT
ejpam-459	157	3	n−2t	n−2t	NOUN
ejpam-459	157	4	,	,	PUNCT
ejpam-459	157	5	nt	not	PART
ejpam-459	157	6	,	,	PUNCT
ejpam-459	157	7	nj	nj	PROPN
ejpam-459	157	8	�	�	PROPN
ejpam-459	157	9	�	�	PROPN
ejpam-459	157	10	�	�	PROPN
ejpam-459	157	11	x	x	SYM
ejpam-459	157	12	n	n	PROPN
ejpam-459	157	13	,	,	PUNCT
ejpam-459	157	14	i	i	PRON
ejpam-459	157	15	x	x	SYM
ejpam-459	157	16	n	n	PROPN
ejpam-459	157	17	,	,	PUNCT
ejpam-459	157	18	n−1	n−1	PROPN
ejpam-459	157	19	+	+	CCONJ
ejpam-459	157	20	�	�	PROPN
ejpam-459	157	21	�	�	PROPN
ejpam-459	157	22	�	�	PROPN
ejpam-459	157	23	t,1t,2	t,1t,2	NOUN
ejpam-459	157	24	...	...	PUNCT
ejpam-459	158	1	t	t	X
ejpam-459	158	2	,	,	PUNCT
ejpam-459	158	3	n−1t	n−1t	PROPN
ejpam-459	158	4	,	,	PUNCT
ejpam-459	158	5	in	in	ADP
ejpam-459	158	6	�	�	PROPN
ejpam-459	158	7	�	�	PROPN
ejpam-459	158	8	�	�	PROPN
ejpam-459	158	9	x	x	SYM
ejpam-459	158	10	n	n	PROPN
ejpam-459	158	11	,	,	PUNCT
ejpam-459	158	12	j	j	PROPN
ejpam-459	158	13	+	+	CCONJ
ejpam-459	158	14	�	�	PROPN
ejpam-459	158	15	�	�	PROPN
ejpam-459	158	16	�	�	PROPN
ejpam-459	158	17	t	t	PROPN
ejpam-459	158	18	,	,	PUNCT
ejpam-459	158	19	nt,2	nt,2	PROPN
ejpam-459	158	20	...	...	PUNCT
ejpam-459	159	1	t	t	X
ejpam-459	159	2	,	,	PUNCT
ejpam-459	159	3	n−1t	n−1t	PROPN
ejpam-459	159	4	,	,	PUNCT
ejpam-459	159	5	in	in	ADP
ejpam-459	159	6	�	�	PROPN
ejpam-459	159	7	�	�	PROPN
ejpam-459	159	8	�	�	PROPN
ejpam-459	159	9	x	x	SYM
ejpam-459	159	10	n	n	PROPN
ejpam-459	159	11	,	,	PUNCT
ejpam-459	159	12	j	j	PROPN
ejpam-459	159	13	x	x	SYM
ejpam-459	159	14	n	n	PROPN
ejpam-459	159	15	,	,	PUNCT
ejpam-459	159	16	1	1	NUM
ejpam-459	159	17	+	+	NUM
ejpam-459	159	18	�	�	PROPN
ejpam-459	159	19	�	�	PROPN
ejpam-459	159	20	�	�	PROPN
ejpam-459	159	21	t,1t	t,1t	PROPN
ejpam-459	159	22	,	,	PUNCT
ejpam-459	159	23	n	n	NOUN
ejpam-459	159	24	...	...	PUNCT
ejpam-459	160	1	t	t	X
ejpam-459	160	2	,	,	PUNCT
ejpam-459	160	3	n−1t	n−1t	PROPN
ejpam-459	160	4	,	,	PUNCT
ejpam-459	160	5	in	in	ADP
ejpam-459	160	6	�	�	PROPN
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ejpam-459	160	8	�	�	PROPN
ejpam-459	160	9	x	x	SYM
ejpam-459	160	10	n	n	PROPN
ejpam-459	160	11	,	,	PUNCT
ejpam-459	160	12	j	j	PROPN
ejpam-459	160	13	x	x	SYM
ejpam-459	160	14	n	n	PROPN
ejpam-459	160	15	,	,	PUNCT
ejpam-459	160	16	2	2	NUM
ejpam-459	160	17	+	+	NOUN
ejpam-459	160	18	...	...	PUNCT
ejpam-459	160	19	+	+	CCONJ
ejpam-459	160	20	�	�	PROPN
ejpam-459	160	21	�	�	PROPN
ejpam-459	160	22	�	�	PROPN
ejpam-459	160	23	t,1t,2	t,1t,2	NOUN
ejpam-459	160	24	...	...	PUNCT
ejpam-459	161	1	t	t	X
ejpam-459	161	2	,	,	PUNCT
ejpam-459	161	3	nt	not	PART
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ejpam-459	161	5	n−1t	n−1t	ADJ
ejpam-459	161	6	,	,	PUNCT
ejpam-459	161	7	in	in	ADP
ejpam-459	161	8	�	�	PROPN
ejpam-459	161	9	�	�	PROPN
ejpam-459	161	10	�	�	PROPN
ejpam-459	161	11	x	x	SYM
ejpam-459	161	12	n	n	PROPN
ejpam-459	161	13	,	,	PUNCT
ejpam-459	161	14	j	j	PROPN
ejpam-459	161	15	x	x	SYM
ejpam-459	161	16	n	n	PROPN
ejpam-459	161	17	,	,	PUNCT
ejpam-459	161	18	n−2	n−2	PROPN
ejpam-459	161	19	+	+	CCONJ
ejpam-459	161	20	�	�	PROPN
ejpam-459	161	21	�	�	PROPN
ejpam-459	161	22	�	�	PROPN
ejpam-459	161	23	t,1t,2	t,1t,2	NOUN
ejpam-459	161	24	...	...	PUNCT
ejpam-459	162	1	t	t	X
ejpam-459	162	2	,	,	PUNCT
ejpam-459	162	3	n−2t	n−2t	NOUN
ejpam-459	162	4	,	,	PUNCT
ejpam-459	162	5	nt	not	PART
ejpam-459	162	6	,	,	PUNCT
ejpam-459	162	7	in	in	ADP
ejpam-459	162	8	�	�	PROPN
ejpam-459	162	9	�	�	PROPN
ejpam-459	162	10	�	�	PROPN
ejpam-459	162	11	x	x	SYM
ejpam-459	162	12	n	n	PROPN
ejpam-459	162	13	,	,	PUNCT
ejpam-459	162	14	j	j	PROPN
ejpam-459	162	15	x	x	SYM
ejpam-459	162	16	n	n	PROPN
ejpam-459	162	17	,	,	PUNCT
ejpam-459	162	18	n−1	n−1	PROPN
ejpam-459	162	19	+	+	CCONJ
ejpam-459	162	20	�	�	PROPN
ejpam-459	162	21	�	�	PROPN
ejpam-459	162	22	�	�	PROPN
ejpam-459	162	23	t,1t,2	t,1t,2	NOUN
ejpam-459	162	24	...	...	PUNCT
ejpam-459	163	1	t	t	X
ejpam-459	163	2	,	,	PUNCT
ejpam-459	163	3	n−1t	n−1t	PROPN
ejpam-459	163	4	,	,	PUNCT
ejpam-459	163	5	nn	nn	PROPN
ejpam-459	163	6	�	�	PROPN
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ejpam-459	163	8	�	�	PROPN
ejpam-459	163	9	x	x	SYM
ejpam-459	163	10	n	n	PROPN
ejpam-459	163	11	,	,	PUNCT
ejpam-459	163	12	i	i	PRON
ejpam-459	163	13	x	x	SYM
ejpam-459	163	14	n	n	PROPN
ejpam-459	163	15	,	,	PUNCT
ejpam-459	163	16	j	j	PROPN
ejpam-459	163	17	+	+	CCONJ
ejpam-459	163	18	�	�	PROPN
ejpam-459	163	19	�	�	PROPN
ejpam-459	163	20	�	�	PROPN
ejpam-459	163	21	t	t	PROPN
ejpam-459	163	22	,	,	PUNCT
ejpam-459	163	23	nt,2	nt,2	PROPN
ejpam-459	163	24	...	...	PUNCT
ejpam-459	164	1	t	t	X
ejpam-459	164	2	,	,	PUNCT
ejpam-459	164	3	n−1t	n−1t	PROPN
ejpam-459	164	4	,	,	PUNCT
ejpam-459	164	5	nn	nn	PROPN
ejpam-459	164	6	�	�	PROPN
ejpam-459	164	7	�	�	PROPN
ejpam-459	164	8	�	�	PROPN
ejpam-459	164	9	x	x	SYM
ejpam-459	164	10	n	n	PROPN
ejpam-459	164	11	,	,	PUNCT
ejpam-459	164	12	i	i	PRON
ejpam-459	164	13	x	x	SYM
ejpam-459	164	14	n	n	PROPN
ejpam-459	164	15	,	,	PUNCT
ejpam-459	164	16	j	j	PROPN
ejpam-459	164	17	x	x	SYM
ejpam-459	164	18	n	n	PROPN
ejpam-459	164	19	,	,	PUNCT
ejpam-459	164	20	1	1	NUM
ejpam-459	164	21	+	+	NUM
ejpam-459	164	22	�	�	PROPN
ejpam-459	164	23	�	�	PROPN
ejpam-459	164	24	�	�	PROPN
ejpam-459	164	25	t,1t	t,1t	PROPN
ejpam-459	164	26	,	,	PUNCT
ejpam-459	164	27	n	n	NOUN
ejpam-459	164	28	...	...	PUNCT
ejpam-459	165	1	t	t	X
ejpam-459	165	2	,	,	PUNCT
ejpam-459	165	3	n−1t	n−1t	PROPN
ejpam-459	165	4	,	,	PUNCT
ejpam-459	165	5	nn	nn	PROPN
ejpam-459	165	6	�	�	PROPN
ejpam-459	165	7	�	�	PROPN
ejpam-459	165	8	�	�	PROPN
ejpam-459	165	9	x	x	SYM
ejpam-459	165	10	n	n	PROPN
ejpam-459	165	11	,	,	PUNCT
ejpam-459	165	12	i	i	PRON
ejpam-459	165	13	x	x	SYM
ejpam-459	165	14	n	n	PROPN
ejpam-459	165	15	,	,	PUNCT
ejpam-459	165	16	j	j	PROPN
ejpam-459	165	17	x	x	SYM
ejpam-459	165	18	n	n	PROPN
ejpam-459	165	19	,	,	PUNCT
ejpam-459	165	20	2	2	NUM
ejpam-459	165	21	+	+	NOUN
ejpam-459	165	22	...	...	PUNCT
ejpam-459	165	23	+	+	CCONJ
ejpam-459	165	24	�	�	PROPN
ejpam-459	165	25	�	�	PROPN
ejpam-459	165	26	�	�	PROPN
ejpam-459	165	27	t,1t,2	t,1t,2	NOUN
ejpam-459	165	28	...	...	PUNCT
ejpam-459	166	1	t	t	X
ejpam-459	166	2	,	,	PUNCT
ejpam-459	166	3	nt	not	PART
ejpam-459	166	4	,	,	PUNCT
ejpam-459	166	5	n−1t	n−1t	PROPN
ejpam-459	166	6	,	,	PUNCT
ejpam-459	166	7	nn	nn	PROPN
ejpam-459	166	8	�	�	PROPN
ejpam-459	166	9	�	�	PROPN
ejpam-459	166	10	�	�	PROPN
ejpam-459	166	11	x	x	SYM
ejpam-459	166	12	n	n	PROPN
ejpam-459	166	13	,	,	PUNCT
ejpam-459	166	14	i	i	PRON
ejpam-459	166	15	x	x	SYM
ejpam-459	166	16	n	n	PROPN
ejpam-459	166	17	,	,	PUNCT
ejpam-459	166	18	j	j	PROPN
ejpam-459	166	19	x	x	SYM
ejpam-459	166	20	n	n	PROPN
ejpam-459	166	21	,	,	PUNCT
ejpam-459	166	22	n−2	n−2	PROPN
ejpam-459	166	23	+	+	CCONJ
ejpam-459	166	24	�	�	PROPN
ejpam-459	166	25	�	�	PROPN
ejpam-459	166	26	�	�	PROPN
ejpam-459	166	27	t,1t,2	t,1t,2	NOUN
ejpam-459	166	28	...	...	PUNCT
ejpam-459	166	29	t	t	X
ejpam-459	166	30	,	,	PUNCT
ejpam-459	166	31	n−2t	n−2t	NOUN
ejpam-459	166	32	,	,	PUNCT
ejpam-459	166	33	nt	not	PART
ejpam-459	166	34	,	,	PUNCT
ejpam-459	166	35	nn	nn	PROPN
ejpam-459	166	36	�	�	PROPN
ejpam-459	166	37	�	�	PROPN
ejpam-459	166	38	�	�	PROPN
ejpam-459	166	39	x	x	SYM
ejpam-459	166	40	n	n	PROPN
ejpam-459	166	41	,	,	PUNCT
ejpam-459	166	42	i	i	PRON
ejpam-459	166	43	x	x	SYM
ejpam-459	166	44	n	n	PROPN
ejpam-459	166	45	,	,	PUNCT
ejpam-459	166	46	j	j	PROPN
ejpam-459	166	47	x	x	SYM
ejpam-459	166	48	n	n	PROPN
ejpam-459	166	49	,	,	PUNCT
ejpam-459	166	50	n−1	n−1	PROPN
ejpam-459	166	51	+	+	PROPN
ejpam-459	166	52	∆.x	∆.x	PROPN
ejpam-459	166	53	n	n	X
ejpam-459	166	54	,	,	PUNCT
ejpam-459	166	55	i	i	PRON
ejpam-459	166	56	j	j	PROPN
ejpam-459	166	57	.	.	PUNCT
ejpam-459	167	1	(	(	PUNCT
ejpam-459	167	2	32	32	NUM
ejpam-459	167	3	)	)	PUNCT
ejpam-459	167	4	the	the	DET
ejpam-459	167	5	differential	differential	ADJ
ejpam-459	167	6	equation	equation	NOUN
ejpam-459	167	7	of	of	ADP
ejpam-459	167	8	the	the	DET
ejpam-459	167	9	asymptotic	asymptotic	ADJ
ejpam-459	167	10	directions	direction	NOUN
ejpam-459	167	11	of	of	ADP
ejpam-459	167	12	s∗	s∗	PROPN
ejpam-459	167	13	,	,	PUNCT
ejpam-459	167	14	according	accord	VERB
ejpam-459	167	15	to	to	ADP
ejpam-459	167	16	(	(	PUNCT
ejpam-459	167	17	9	9	NUM
ejpam-459	167	18	)	)	PUNCT
ejpam-459	167	19	,	,	PUNCT
ejpam-459	167	20	is	be	AUX
ejpam-459	167	21	l∗	l∗	PROPN
ejpam-459	168	1	i	i	PRON
ejpam-459	168	2	j	j	PROPN
ejpam-459	169	1	d	d	NOUN
ejpam-459	169	2	x	x	PUNCT
ejpam-459	169	3	i	i	NOUN
ejpam-459	169	4	d	d	NOUN
ejpam-459	169	5	x	x	X
ejpam-459	169	6	j	j	PROPN
ejpam-459	169	7	=	=	SYM
ejpam-459	169	8	0	0	PROPN
ejpam-459	169	9	.	.	PUNCT
ejpam-459	170	1	(	(	PUNCT
ejpam-459	170	2	33	33	NUM
ejpam-459	170	3	)	)	PUNCT
ejpam-459	170	4	in	in	ADP
ejpam-459	170	5	order	order	NOUN
ejpam-459	170	6	that	that	SCONJ
ejpam-459	170	7	the	the	DET
ejpam-459	170	8	transformation	transformation	NOUN
ejpam-459	170	9	t	t	PROPN
ejpam-459	170	10	transforms	transform	VERB
ejpam-459	170	11	the	the	DET
ejpam-459	170	12	asymptotic	asymptotic	ADJ
ejpam-459	170	13	directions	direction	NOUN
ejpam-459	170	14	of	of	ADP
ejpam-459	170	15	the	the	DET
ejpam-459	170	16	hypersurface	hypersurface	NOUN
ejpam-459	170	17	s	s	VERB
ejpam-459	170	18	to	to	ADP
ejpam-459	170	19	the	the	DET
ejpam-459	170	20	asymptotic	asymptotic	ADJ
ejpam-459	170	21	directions	direction	NOUN
ejpam-459	170	22	of	of	ADP
ejpam-459	170	23	the	the	DET
ejpam-459	170	24	hypersurface	hypersurface	NOUN
ejpam-459	170	25	s∗	s∗	VERB
ejpam-459	170	26	it	it	PRON
ejpam-459	170	27	must	must	AUX
ejpam-459	170	28	transform	transform	VERB
ejpam-459	170	29	the	the	DET
ejpam-459	170	30	equation	equation	NOUN
ejpam-459	170	31	(	(	PUNCT
ejpam-459	170	32	22	22	NUM
ejpam-459	170	33	)	)	PUNCT
ejpam-459	170	34	to	to	ADP
ejpam-459	170	35	the	the	DET
ejpam-459	170	36	equation	equation	NOUN
ejpam-459	170	37	(	(	PUNCT
ejpam-459	170	38	33	33	NUM
ejpam-459	170	39	)	)	PUNCT
ejpam-459	170	40	.	.	PUNCT
ejpam-459	171	1	accordingly	accordingly	ADV
ejpam-459	171	2	,	,	PUNCT
ejpam-459	171	3	our	our	PRON
ejpam-459	171	4	conditions	condition	NOUN
ejpam-459	171	5	are	be	AUX
ejpam-459	171	6	l∗	l∗	NOUN
ejpam-459	172	1	i	i	PRON
ejpam-459	172	2	j	j	PROPN
ejpam-459	172	3	=	=	SYM
ejpam-459	173	1	t	t	PROPN
ejpam-459	173	2	x	x	SYM
ejpam-459	173	3	n	n	PROPN
ejpam-459	173	4	,	,	PUNCT
ejpam-459	173	5	i	i	PRON
ejpam-459	173	6	j	j	PROPN
ejpam-459	173	7	(	(	PUNCT
ejpam-459	173	8	34	34	NUM
ejpam-459	173	9	)	)	PUNCT
ejpam-459	173	10	where	where	SCONJ
ejpam-459	173	11	t	t	PROPN
ejpam-459	173	12	is	be	AUX
ejpam-459	173	13	an	an	DET
ejpam-459	173	14	arbitrary	arbitrary	ADJ
ejpam-459	173	15	function	function	NOUN
ejpam-459	173	16	of	of	ADP
ejpam-459	173	17	the	the	DET
ejpam-459	173	18	variables	variable	NOUN
ejpam-459	173	19	x1	x1	PROPN
ejpam-459	173	20	,	,	PUNCT
ejpam-459	173	21	x2	x2	PROPN
ejpam-459	173	22	,	,	PUNCT
ejpam-459	173	23	.	.	PUNCT
ejpam-459	173	24	.	.	PUNCT
ejpam-459	173	25	.	.	PUNCT
ejpam-459	174	1	,	,	PUNCT
ejpam-459	174	2	x	x	X
ejpam-459	174	3	n−1	n−1	PROPN
ejpam-459	174	4	.	.	PUNCT
ejpam-459	175	1	the	the	DET
ejpam-459	175	2	equations	equation	NOUN
ejpam-459	175	3	(	(	PUNCT
ejpam-459	175	4	31	31	NUM
ejpam-459	175	5	)	)	PUNCT
ejpam-459	175	6	and	and	CCONJ
ejpam-459	175	7	(	(	PUNCT
ejpam-459	175	8	32	32	NUM
ejpam-459	175	9	)	)	PUNCT
ejpam-459	175	10	can	can	AUX
ejpam-459	175	11	be	be	AUX
ejpam-459	175	12	written	write	VERB
ejpam-459	175	13	as	as	SCONJ
ejpam-459	175	14	follows	follow	VERB
ejpam-459	175	15	:	:	PUNCT
ejpam-459	176	1	k∗l∗	k∗l∗	NOUN
ejpam-459	176	2	ii	ii	PROPN
ejpam-459	177	1	=	=	SYM
ejpam-459	177	2	∆0(ii	∆0(ii	PROPN
ejpam-459	177	3	)	)	PUNCT
ejpam-459	177	4	+	+	ADJ
ejpam-459	177	5	∆1(ii)x	∆1(ii)x	PROPN
ejpam-459	177	6	n	n	NOUN
ejpam-459	177	7	,	,	PUNCT
ejpam-459	177	8	1	1	NUM
ejpam-459	178	1	+	+	NOUN
ejpam-459	178	2	∆2(ii)x	∆2(ii)x	NOUN
ejpam-459	178	3	n	n	CCONJ
ejpam-459	178	4	,	,	PUNCT
ejpam-459	178	5	2	2	NUM
ejpam-459	178	6	+	+	CCONJ
ejpam-459	178	7	...	...	PUNCT
ejpam-459	178	8	+	+	ADJ
ejpam-459	178	9	∆n−1(ii)x	∆n−1(ii)x	ADJ
ejpam-459	178	10	n	n	NOUN
ejpam-459	178	11	,	,	PUNCT
ejpam-459	178	12	n−1	n−1	PROPN
ejpam-459	178	13	+2[∆0(in	+2[∆0(in	PROPN
ejpam-459	178	14	)	)	PUNCT
ejpam-459	179	1	+	+	NOUN
ejpam-459	179	2	∆1(in)x	∆1(in)x	NOUN
ejpam-459	179	3	n	n	NOUN
ejpam-459	179	4	,	,	PUNCT
ejpam-459	179	5	1	1	NUM
ejpam-459	179	6	+	+	VERB
ejpam-459	179	7	∆2(in)x	∆2(in)x	NOUN
ejpam-459	179	8	n	n	NOUN
ejpam-459	179	9	,	,	PUNCT
ejpam-459	179	10	2	2	NUM
ejpam-459	179	11	+	+	CCONJ
ejpam-459	179	12	...	...	PUNCT
ejpam-459	180	1	+	+	SYM
ejpam-459	180	2	∆n−1(in)x	∆n−1(in)x	PROPN
ejpam-459	180	3	n	n	X
ejpam-459	180	4	,	,	PUNCT
ejpam-459	180	5	n−1	n−1	PROPN
ejpam-459	180	6	]	]	X
ejpam-459	180	7	x	x	SYM
ejpam-459	180	8	n	n	X
ejpam-459	180	9	,	,	PUNCT
ejpam-459	180	10	i	i	PRON
ejpam-459	180	11	+	+	PROPN
ejpam-459	180	12	[	[	X
ejpam-459	180	13	∆0(nn	∆0(nn	ADJ
ejpam-459	180	14	)	)	PUNCT
ejpam-459	180	15	+	+	NOUN
ejpam-459	180	16	∆1(nn)x	∆1(nn)x	PROPN
ejpam-459	180	17	n	n	NOUN
ejpam-459	180	18	,	,	PUNCT
ejpam-459	180	19	1	1	NUM
ejpam-459	180	20	+	+	ADV
ejpam-459	180	21	∆2(nn)x	∆2(nn)x	ADJ
ejpam-459	180	22	n	n	NOUN
ejpam-459	180	23	,	,	PUNCT
ejpam-459	180	24	2	2	NUM
ejpam-459	180	25	+	+	CCONJ
ejpam-459	180	26	...	...	PUNCT
ejpam-459	181	1	+	+	ADJ
ejpam-459	181	2	∆n−1(nn)x	∆n−1(nn)x	ADJ
ejpam-459	181	3	n	n	PROPN
ejpam-459	181	4	,	,	PUNCT
ejpam-459	181	5	n−1	n−1	PROPN
ejpam-459	181	6	]	]	PUNCT
ejpam-459	181	7	(	(	PUNCT
ejpam-459	181	8	x	x	SYM
ejpam-459	181	9	n	n	X
ejpam-459	181	10	,	,	PUNCT
ejpam-459	181	11	i	i	PRON
ejpam-459	181	12	)	)	PUNCT
ejpam-459	181	13	2	2	X
ejpam-459	182	1	+	+	NOUN
ejpam-459	182	2	∆.x	∆.x	NOUN
ejpam-459	182	3	n	n	PRON
ejpam-459	182	4	,	,	PUNCT
ejpam-459	182	5	ii	ii	PROPN
ejpam-459	182	6	(	(	PUNCT
ejpam-459	182	7	35	35	NUM
ejpam-459	182	8	)	)	PUNCT
ejpam-459	182	9	and	and	CCONJ
ejpam-459	182	10	k∗l∗	k∗l∗	X
ejpam-459	183	1	i	i	PRON
ejpam-459	183	2	j	j	PROPN
ejpam-459	183	3	=	=	SYM
ejpam-459	183	4	∆0(i	∆0(i	PROPN
ejpam-459	183	5	j	j	PROPN
ejpam-459	183	6	)	)	PUNCT
ejpam-459	184	1	+	+	PROPN
ejpam-459	184	2	∆1(i	∆1(i	PROPN
ejpam-459	184	3	j)x	j)x	PROPN
ejpam-459	184	4	n	n	CCONJ
ejpam-459	184	5	,	,	PUNCT
ejpam-459	184	6	1	1	NUM
ejpam-459	184	7	+	+	SYM
ejpam-459	184	8	∆2(i	∆2(i	PROPN
ejpam-459	184	9	j)x	j)x	NOUN
ejpam-459	184	10	n	n	CCONJ
ejpam-459	184	11	,	,	PUNCT
ejpam-459	184	12	2	2	NUM
ejpam-459	184	13	+	+	CCONJ
ejpam-459	184	14	...	...	PUNCT
ejpam-459	185	1	+	+	ADJ
ejpam-459	185	2	∆n−1(i	∆n−1(i	PROPN
ejpam-459	185	3	j)x	j)x	NOUN
ejpam-459	185	4	n	n	CCONJ
ejpam-459	185	5	,	,	PUNCT
ejpam-459	185	6	n−1	n−1	PROPN
ejpam-459	185	7	y.	y.	PROPN
ejpam-459	185	8	alagöz	alagöz	PROPN
ejpam-459	185	9	and	and	CCONJ
ejpam-459	185	10	z.	z.	PROPN
ejpam-459	185	11	soyuçok	soyuçok	ADJ
ejpam-459	185	12	/	/	SYM
ejpam-459	185	13	eur	eur	PROPN
ejpam-459	185	14	.	.	PUNCT
ejpam-459	186	1	j.	j.	PROPN
ejpam-459	186	2	pure	pure	PROPN
ejpam-459	186	3	appl	appl	PROPN
ejpam-459	186	4	.	.	PROPN
ejpam-459	186	5	math	math	PROPN
ejpam-459	186	6	,	,	PUNCT
ejpam-459	186	7	2	2	NUM
ejpam-459	186	8	(	(	PUNCT
ejpam-459	186	9	2009	2009	NUM
ejpam-459	186	10	)	)	PUNCT
ejpam-459	186	11	,	,	PUNCT
ejpam-459	186	12	(	(	PUNCT
ejpam-459	186	13	564	564	NUM
ejpam-459	186	14	-	-	SYM
ejpam-459	186	15	573	573	NUM
ejpam-459	186	16	)	)	PUNCT
ejpam-459	186	17	571	571	NUM
ejpam-459	187	1	+	+	NOUN
ejpam-459	187	2	[	[	X
ejpam-459	187	3	∆0(in	∆0(in	ADJ
ejpam-459	187	4	)	)	PUNCT
ejpam-459	187	5	+	+	NOUN
ejpam-459	187	6	∆1(in)x	∆1(in)x	NOUN
ejpam-459	187	7	n	n	NOUN
ejpam-459	187	8	,	,	PUNCT
ejpam-459	187	9	1	1	NUM
ejpam-459	187	10	+	+	VERB
ejpam-459	187	11	∆2(in)x	∆2(in)x	NOUN
ejpam-459	187	12	n	n	NOUN
ejpam-459	187	13	,	,	PUNCT
ejpam-459	187	14	2	2	NUM
ejpam-459	187	15	+	+	CCONJ
ejpam-459	187	16	...	...	PUNCT
ejpam-459	187	17	+	+	SYM
ejpam-459	187	18	∆n−1(in)x	∆n−1(in)x	PROPN
ejpam-459	187	19	n	n	X
ejpam-459	187	20	,	,	PUNCT
ejpam-459	187	21	n−1	n−1	PROPN
ejpam-459	187	22	]	]	X
ejpam-459	187	23	x	x	SYM
ejpam-459	187	24	n	n	PROPN
ejpam-459	187	25	,	,	PUNCT
ejpam-459	187	26	j	j	PROPN
ejpam-459	188	1	+	+	PROPN
ejpam-459	188	2	[	[	X
ejpam-459	188	3	∆0	∆0	PRON
ejpam-459	188	4	(	(	PUNCT
ejpam-459	188	5	jn	jn	PROPN
ejpam-459	188	6	)	)	PUNCT
ejpam-459	188	7	+	+	NOUN
ejpam-459	188	8	∆1	∆1	PROPN
ejpam-459	188	9	(	(	PUNCT
ejpam-459	188	10	jn)x	jn)x	PROPN
ejpam-459	188	11	n	n	PROPN
ejpam-459	188	12	,	,	PUNCT
ejpam-459	188	13	1	1	NUM
ejpam-459	188	14	+	+	NOUN
ejpam-459	188	15	∆2	∆2	NOUN
ejpam-459	188	16	(	(	PUNCT
ejpam-459	188	17	jn)x	jn)x	PROPN
ejpam-459	188	18	n	n	PROPN
ejpam-459	188	19	,	,	PUNCT
ejpam-459	188	20	2	2	NUM
ejpam-459	188	21	+	+	CCONJ
ejpam-459	188	22	...	...	PUNCT
ejpam-459	188	23	+	+	X
ejpam-459	188	24	∆n−1	∆n−1	PROPN
ejpam-459	188	25	(	(	PUNCT
ejpam-459	188	26	jn)x	jn)x	PROPN
ejpam-459	188	27	n	n	PROPN
ejpam-459	188	28	,	,	PUNCT
ejpam-459	188	29	n−1	n−1	PROPN
ejpam-459	188	30	]	]	X
ejpam-459	188	31	x	x	SYM
ejpam-459	188	32	n	n	X
ejpam-459	188	33	,	,	PUNCT
ejpam-459	188	34	i	i	PRON
ejpam-459	188	35	+	+	PROPN
ejpam-459	188	36	[	[	X
ejpam-459	188	37	∆0(nn	∆0(nn	ADJ
ejpam-459	188	38	)	)	PUNCT
ejpam-459	188	39	+	+	NOUN
ejpam-459	188	40	∆1(nn)x	∆1(nn)x	PROPN
ejpam-459	188	41	n	n	NOUN
ejpam-459	188	42	,	,	PUNCT
ejpam-459	188	43	1	1	NUM
ejpam-459	188	44	+	+	ADV
ejpam-459	188	45	∆2(nn)x	∆2(nn)x	ADJ
ejpam-459	188	46	n	n	NOUN
ejpam-459	188	47	,	,	PUNCT
ejpam-459	188	48	2	2	NUM
ejpam-459	188	49	+	+	CCONJ
ejpam-459	188	50	...	...	PUNCT
ejpam-459	188	51	+	+	ADJ
ejpam-459	188	52	∆n−1(nn)x	∆n−1(nn)x	ADJ
ejpam-459	188	53	n	n	PROPN
ejpam-459	188	54	,	,	PUNCT
ejpam-459	188	55	n−1	n−1	PROPN
ejpam-459	188	56	]	]	X
ejpam-459	188	57	x	x	SYM
ejpam-459	188	58	n	n	X
ejpam-459	188	59	,	,	PUNCT
ejpam-459	188	60	i	i	PRON
ejpam-459	188	61	x	x	SYM
ejpam-459	188	62	n	n	PROPN
ejpam-459	188	63	,	,	PUNCT
ejpam-459	188	64	j	j	PROPN
ejpam-459	188	65	+	+	PROPN
ejpam-459	188	66	∆.x	∆.x	PROPN
ejpam-459	188	67	n	n	X
ejpam-459	188	68	,	,	PUNCT
ejpam-459	188	69	i	i	PRON
ejpam-459	188	70	j	j	PROPN
ejpam-459	188	71	(	(	PUNCT
ejpam-459	188	72	36	36	NUM
ejpam-459	188	73	)	)	PUNCT
ejpam-459	188	74	where∆0(ab	where∆0(ab	PROPN
ejpam-459	188	75	)	)	PUNCT
ejpam-459	188	76	denotes	denote	VERB
ejpam-459	188	77	the	the	DET
ejpam-459	188	78	determinant	determinant	ADJ
ejpam-459	188	79	which	which	PRON
ejpam-459	188	80	is	be	AUX
ejpam-459	188	81	obtained	obtain	VERB
ejpam-459	188	82	by	by	ADP
ejpam-459	188	83	replacing	replace	VERB
ejpam-459	188	84	the	the	DET
ejpam-459	188	85	nth	nth	NOUN
ejpam-459	188	86	column	column	NOUN
ejpam-459	188	87	with	with	ADP
ejpam-459	188	88	t	t	PROPN
ejpam-459	188	89	,	,	PUNCT
ejpam-459	188	90	ab	ab	PROPN
ejpam-459	188	91	in	in	ADP
ejpam-459	188	92	the	the	DET
ejpam-459	188	93	determinant	determinant	ADJ
ejpam-459	188	94	∆	∆	PROPN
ejpam-459	188	95	which	which	PRON
ejpam-459	188	96	is	be	AUX
ejpam-459	188	97	defined	define	VERB
ejpam-459	188	98	by	by	ADP
ejpam-459	188	99	(	(	PUNCT
ejpam-459	188	100	24	24	NUM
ejpam-459	188	101	)	)	PUNCT
ejpam-459	188	102	,	,	PUNCT
ejpam-459	188	103	and	and	CCONJ
ejpam-459	188	104	∆k(ab	∆k(ab	NOUN
ejpam-459	188	105	)	)	PUNCT
ejpam-459	188	106	denotes	denote	VERB
ejpam-459	188	107	the	the	DET
ejpam-459	188	108	determinant	determinant	ADJ
ejpam-459	188	109	which	which	PRON
ejpam-459	188	110	is	be	AUX
ejpam-459	188	111	obtained	obtain	VERB
ejpam-459	188	112	by	by	ADP
ejpam-459	188	113	replacing	replace	VERB
ejpam-459	188	114	the	the	DET
ejpam-459	188	115	nth	nth	NOUN
ejpam-459	188	116	column	column	NOUN
ejpam-459	188	117	with	with	ADP
ejpam-459	188	118	t	t	PROPN
ejpam-459	188	119	,	,	PUNCT
ejpam-459	188	120	ab	ab	PROPN
ejpam-459	188	121	and	and	CCONJ
ejpam-459	188	122	kth	kth	PROPN
ejpam-459	188	123	column	column	NOUN
ejpam-459	188	124	with	with	ADP
ejpam-459	188	125	t	t	PROPN
ejpam-459	188	126	,	,	PUNCT
ejpam-459	188	127	n	n	CCONJ
ejpam-459	188	128	in	in	ADP
ejpam-459	188	129	the	the	DET
ejpam-459	188	130	determinant	determinant	ADJ
ejpam-459	188	131	∆.	∆.	NOUN
ejpam-459	188	132	for	for	ADP
ejpam-459	188	133	example	example	NOUN
ejpam-459	188	134	,	,	PUNCT
ejpam-459	188	135	∆2(44	∆2(44	PROPN
ejpam-459	188	136	)	)	PUNCT
ejpam-459	188	137	=	=	SYM
ejpam-459	188	138	�	�	PROPN
ejpam-459	188	139	�	�	PROPN
ejpam-459	188	140	t1tnt3	t1tnt3	PROPN
ejpam-459	188	141	.	.	PUNCT
ejpam-459	188	142	.	.	PUNCT
ejpam-459	189	1	.tn−1t44	.tn−1t44	PROPN
ejpam-459	189	2	�	�	PROPN
ejpam-459	189	3	�	�	PROPN
ejpam-459	189	4	.	.	PUNCT
ejpam-459	190	1	the	the	DET
ejpam-459	190	2	equations	equation	NOUN
ejpam-459	190	3	(	(	PUNCT
ejpam-459	190	4	34	34	NUM
ejpam-459	190	5	)	)	PUNCT
ejpam-459	190	6	must	must	AUX
ejpam-459	190	7	be	be	AUX
ejpam-459	190	8	satisfied	satisfied	ADJ
ejpam-459	190	9	by	by	ADP
ejpam-459	190	10	any	any	DET
ejpam-459	190	11	hypersurface	hypersurface	NOUN
ejpam-459	190	12	.	.	PUNCT
ejpam-459	191	1	so	so	ADV
ejpam-459	191	2	,	,	PUNCT
ejpam-459	191	3	using	use	VERB
ejpam-459	191	4	the	the	DET
ejpam-459	191	5	quantities	quantity	NOUN
ejpam-459	191	6	given	give	VERB
ejpam-459	191	7	by	by	ADP
ejpam-459	191	8	(	(	PUNCT
ejpam-459	191	9	35	35	NUM
ejpam-459	191	10	)	)	PUNCT
ejpam-459	191	11	in	in	ADP
ejpam-459	191	12	(	(	PUNCT
ejpam-459	191	13	34	34	NUM
ejpam-459	191	14	)	)	PUNCT
ejpam-459	191	15	we	we	PRON
ejpam-459	191	16	have	have	VERB
ejpam-459	191	17	the	the	DET
ejpam-459	191	18	following	follow	VERB
ejpam-459	191	19	conditions	condition	NOUN
ejpam-459	191	20	:	:	PUNCT
ejpam-459	191	21	∆1(nn	∆1(nn	NOUN
ejpam-459	191	22	)	)	PUNCT
ejpam-459	191	23	=	=	SYM
ejpam-459	191	24	0,∆2(nn	0,∆2(nn	X
ejpam-459	191	25	)	)	PUNCT
ejpam-459	191	26	=	=	SYM
ejpam-459	192	1	0	0	NUM
ejpam-459	192	2	,	,	PUNCT
ejpam-459	192	3	.	.	PUNCT
ejpam-459	192	4	.	.	PUNCT
ejpam-459	192	5	.	.	PUNCT
ejpam-459	193	1	,	,	PUNCT
ejpam-459	193	2	∆n−1(nn	∆n−1(nn	NOUN
ejpam-459	193	3	)	)	PUNCT
ejpam-459	193	4	=	=	SYM
ejpam-459	193	5	0	0	NUM
ejpam-459	193	6	,	,	PUNCT
ejpam-459	193	7	(	(	PUNCT
ejpam-459	193	8	37	37	NUM
ejpam-459	193	9	)	)	PUNCT
ejpam-459	194	1	∆0(ii	∆0(ii	NOUN
ejpam-459	194	2	)	)	PUNCT
ejpam-459	194	3	=	=	SYM
ejpam-459	194	4	0,∆1(ii	0,∆1(ii	NUM
ejpam-459	194	5	)	)	PUNCT
ejpam-459	194	6	=	=	SYM
ejpam-459	195	1	0	0	NUM
ejpam-459	195	2	,	,	PUNCT
ejpam-459	195	3	.	.	PUNCT
ejpam-459	195	4	.	.	PUNCT
ejpam-459	195	5	.	.	PUNCT
ejpam-459	196	1	,	,	PUNCT
ejpam-459	196	2	∆i−1(ii	∆i−1(ii	PROPN
ejpam-459	196	3	)	)	PUNCT
ejpam-459	196	4	=	=	SYM
ejpam-459	197	1	0,∆i+1(ii	0,∆i+1(ii	X
ejpam-459	197	2	)	)	PUNCT
ejpam-459	197	3	=	=	SYM
ejpam-459	198	1	0	0	NUM
ejpam-459	198	2	,	,	PUNCT
ejpam-459	198	3	.	.	PUNCT
ejpam-459	198	4	.	.	PUNCT
ejpam-459	198	5	.	.	PUNCT
ejpam-459	199	1	,	,	PUNCT
ejpam-459	199	2	∆n−1(ii	∆n−1(ii	PROPN
ejpam-459	199	3	)	)	PUNCT
ejpam-459	199	4	=	=	SYM
ejpam-459	199	5	0	0	NUM
ejpam-459	199	6	,	,	PUNCT
ejpam-459	199	7	(	(	PUNCT
ejpam-459	199	8	38	38	NUM
ejpam-459	199	9	)	)	PUNCT
ejpam-459	199	10	∆1(in	∆1(in	NOUN
ejpam-459	199	11	)	)	PUNCT
ejpam-459	199	12	=	=	SYM
ejpam-459	199	13	0,∆2(in	0,∆2(in	NOUN
ejpam-459	199	14	)	)	PUNCT
ejpam-459	199	15	=	=	SYM
ejpam-459	199	16	0	0	NUM
ejpam-459	199	17	,	,	PUNCT
ejpam-459	199	18	.	.	PUNCT
ejpam-459	199	19	.	.	PUNCT
ejpam-459	200	1	.	.	PUNCT
ejpam-459	201	1	,	,	PUNCT
ejpam-459	201	2	∆i−1(in	∆i−1(in	NOUN
ejpam-459	201	3	)	)	PUNCT
ejpam-459	201	4	=	=	SYM
ejpam-459	201	5	0,∆i+1(in	0,∆i+1(in	NUM
ejpam-459	201	6	)	)	PUNCT
ejpam-459	201	7	=	=	SYM
ejpam-459	202	1	0	0	NUM
ejpam-459	202	2	,	,	PUNCT
ejpam-459	202	3	.	.	PUNCT
ejpam-459	202	4	.	.	PUNCT
ejpam-459	203	1	.	.	PUNCT
ejpam-459	204	1	,	,	PUNCT
ejpam-459	204	2	∆n−1(in	∆n−1(in	NOUN
ejpam-459	204	3	)	)	PUNCT
ejpam-459	204	4	=	=	SYM
ejpam-459	204	5	0	0	NUM
ejpam-459	204	6	,	,	PUNCT
ejpam-459	204	7	(	(	PUNCT
ejpam-459	204	8	39	39	NUM
ejpam-459	204	9	)	)	PUNCT
ejpam-459	204	10	∆i(ii	∆i(ii	NUM
ejpam-459	204	11	)	)	PUNCT
ejpam-459	205	1	+	+	CCONJ
ejpam-459	205	2	2∆0(in	2∆0(in	NUM
ejpam-459	205	3	)	)	PUNCT
ejpam-459	205	4	=	=	SYM
ejpam-459	205	5	0	0	NUM
ejpam-459	205	6	,	,	PUNCT
ejpam-459	205	7	∆0(nn	∆0(nn	NOUN
ejpam-459	205	8	)	)	PUNCT
ejpam-459	205	9	+	+	NUM
ejpam-459	205	10	2∆i(in	2∆i(in	NUM
ejpam-459	205	11	)	)	PUNCT
ejpam-459	205	12	=	=	SYM
ejpam-459	205	13	0	0	X
ejpam-459	205	14	.	.	PUNCT
ejpam-459	206	1	(	(	PUNCT
ejpam-459	206	2	40	40	NUM
ejpam-459	206	3	)	)	PUNCT
ejpam-459	206	4	from	from	ADP
ejpam-459	206	5	(	(	PUNCT
ejpam-459	206	6	37	37	NUM
ejpam-459	206	7	)	)	PUNCT
ejpam-459	206	8	and	and	CCONJ
ejpam-459	206	9	(	(	PUNCT
ejpam-459	206	10	38	38	NUM
ejpam-459	206	11	)	)	PUNCT
ejpam-459	206	12	we	we	PRON
ejpam-459	206	13	respectively	respectively	ADV
ejpam-459	206	14	get	get	VERB
ejpam-459	206	15	t	t	PROPN
ejpam-459	206	16	,	,	PUNCT
ejpam-459	206	17	nn	nn	PROPN
ejpam-459	206	18	=	=	SYM
ejpam-459	206	19	2ant	2ant	PROPN
ejpam-459	206	20	,	,	PUNCT
ejpam-459	206	21	n	n	PROPN
ejpam-459	206	22	(	(	PUNCT
ejpam-459	206	23	41	41	NUM
ejpam-459	206	24	)	)	PUNCT
ejpam-459	206	25	and	and	CCONJ
ejpam-459	206	26	t	t	PROPN
ejpam-459	206	27	,	,	PUNCT
ejpam-459	206	28	ii	ii	PROPN
ejpam-459	206	29	=	=	SYM
ejpam-459	206	30	2ait	2ait	PROPN
ejpam-459	206	31	,	,	PUNCT
ejpam-459	206	32	i	i	PRON
ejpam-459	206	33	(	(	PUNCT
ejpam-459	206	34	42	42	NUM
ejpam-459	206	35	)	)	PUNCT
ejpam-459	206	36	and	and	CCONJ
ejpam-459	206	37	so	so	ADV
ejpam-459	206	38	t	t	PROPN
ejpam-459	206	39	,	,	PUNCT
ejpam-459	206	40	bb	bb	NOUN
ejpam-459	206	41	=	=	SYM
ejpam-459	206	42	2abt	2abt	NUM
ejpam-459	206	43	,	,	PUNCT
ejpam-459	206	44	b	b	PROPN
ejpam-459	206	45	(	(	PUNCT
ejpam-459	206	46	43	43	NUM
ejpam-459	206	47	)	)	PUNCT
ejpam-459	206	48	y.	y.	NOUN
ejpam-459	206	49	alagöz	alagöz	PROPN
ejpam-459	206	50	and	and	CCONJ
ejpam-459	206	51	z.	z.	PROPN
ejpam-459	206	52	soyuçok	soyuçok	ADJ
ejpam-459	206	53	/	/	SYM
ejpam-459	206	54	eur	eur	PROPN
ejpam-459	206	55	.	.	PUNCT
ejpam-459	207	1	j.	j.	PROPN
ejpam-459	207	2	pure	pure	PROPN
ejpam-459	207	3	appl	appl	PROPN
ejpam-459	207	4	.	.	PROPN
ejpam-459	207	5	math	math	PROPN
ejpam-459	207	6	,	,	PUNCT
ejpam-459	207	7	2	2	NUM
ejpam-459	207	8	(	(	PUNCT
ejpam-459	207	9	2009	2009	NUM
ejpam-459	207	10	)	)	PUNCT
ejpam-459	207	11	,	,	PUNCT
ejpam-459	207	12	(	(	PUNCT
ejpam-459	207	13	564	564	NUM
ejpam-459	207	14	-	-	SYM
ejpam-459	207	15	573	573	NUM
ejpam-459	207	16	)	)	PUNCT
ejpam-459	207	17	572	572	NUM
ejpam-459	207	18	where	where	SCONJ
ejpam-459	207	19	a1	a1	NOUN
ejpam-459	207	20	,	,	PUNCT
ejpam-459	207	21	a2	a2	PROPN
ejpam-459	207	22	,	,	PUNCT
ejpam-459	207	23	.	.	PUNCT
ejpam-459	207	24	.	.	PUNCT
ejpam-459	208	1	.	.	PUNCT
ejpam-459	209	1	,	,	PUNCT
ejpam-459	209	2	an	an	PRON
ejpam-459	209	3	are	be	AUX
ejpam-459	209	4	arbitrary	arbitrary	ADJ
ejpam-459	209	5	functions	function	NOUN
ejpam-459	209	6	of	of	ADP
ejpam-459	209	7	variables	variable	NOUN
ejpam-459	209	8	x1	x1	PROPN
ejpam-459	209	9	,	,	PUNCT
ejpam-459	209	10	x2	x2	PROPN
ejpam-459	209	11	,	,	PUNCT
ejpam-459	209	12	.	.	PUNCT
ejpam-459	209	13	.	.	PUNCT
ejpam-459	210	1	.	.	PUNCT
ejpam-459	211	1	,	,	PUNCT
ejpam-459	211	2	x	x	X
ejpam-459	211	3	n.	n.	NOUN
ejpam-459	211	4	using	use	VERB
ejpam-459	211	5	(	(	PUNCT
ejpam-459	211	6	43	43	NUM
ejpam-459	211	7	)	)	PUNCT
ejpam-459	211	8	in	in	ADP
ejpam-459	211	9	(	(	PUNCT
ejpam-459	211	10	39	39	NUM
ejpam-459	211	11	)	)	PUNCT
ejpam-459	211	12	and	and	CCONJ
ejpam-459	211	13	(	(	PUNCT
ejpam-459	211	14	40	40	NUM
ejpam-459	211	15	)	)	PUNCT
ejpam-459	211	16	,	,	PUNCT
ejpam-459	211	17	we	we	PRON
ejpam-459	211	18	have	have	VERB
ejpam-459	211	19	t	t	PROPN
ejpam-459	211	20	,	,	PUNCT
ejpam-459	211	21	in	in	ADP
ejpam-459	211	22	=	=	SYM
ejpam-459	211	23	ant	ant	NOUN
ejpam-459	211	24	,	,	PUNCT
ejpam-459	211	25	i	i	PRON
ejpam-459	211	26	+	+	X
ejpam-459	211	27	ait	ait	ADJ
ejpam-459	211	28	,	,	PUNCT
ejpam-459	211	29	n.	n.	PROPN
ejpam-459	211	30	(	(	PUNCT
ejpam-459	211	31	44	44	NUM
ejpam-459	211	32	)	)	PUNCT
ejpam-459	211	33	now	now	ADV
ejpam-459	211	34	let	let	VERB
ejpam-459	211	35	us	we	PRON
ejpam-459	211	36	use	use	VERB
ejpam-459	211	37	the	the	DET
ejpam-459	211	38	quantities	quantity	NOUN
ejpam-459	211	39	given	give	VERB
ejpam-459	211	40	by	by	ADP
ejpam-459	211	41	(	(	PUNCT
ejpam-459	211	42	36	36	NUM
ejpam-459	211	43	)	)	PUNCT
ejpam-459	211	44	in	in	ADP
ejpam-459	211	45	(	(	PUNCT
ejpam-459	211	46	34	34	NUM
ejpam-459	211	47	)	)	PUNCT
ejpam-459	211	48	which	which	PRON
ejpam-459	211	49	must	must	AUX
ejpam-459	211	50	be	be	AUX
ejpam-459	211	51	satisfied	satisfied	ADJ
ejpam-459	211	52	by	by	ADP
ejpam-459	211	53	any	any	DET
ejpam-459	211	54	hypersurface	hypersurface	NOUN
ejpam-459	211	55	.	.	PUNCT
ejpam-459	212	1	then	then	ADV
ejpam-459	212	2	we	we	PRON
ejpam-459	212	3	have	have	VERB
ejpam-459	212	4	the	the	DET
ejpam-459	212	5	following	follow	VERB
ejpam-459	212	6	conditions	condition	NOUN
ejpam-459	212	7	:	:	PUNCT
ejpam-459	212	8	∆0(i	∆0(i	PROPN
ejpam-459	212	9	j	j	NOUN
ejpam-459	212	10	)	)	PUNCT
ejpam-459	212	11	=	=	SYM
ejpam-459	213	1	0,∆1(i	0,∆1(i	PROPN
ejpam-459	213	2	j	j	PROPN
ejpam-459	213	3	)	)	PUNCT
ejpam-459	213	4	=	=	SYM
ejpam-459	213	5	0	0	NUM
ejpam-459	213	6	,	,	PUNCT
ejpam-459	213	7	...	...	PUNCT
ejpam-459	213	8	,	,	PUNCT
ejpam-459	213	9	∆i−1(i	∆i−1(i	PROPN
ejpam-459	213	10	j	j	NOUN
ejpam-459	213	11	)	)	PUNCT
ejpam-459	213	12	=	=	PUNCT
ejpam-459	213	13	0,∆i+1(i	0,∆i+1(i	NUM
ejpam-459	213	14	j	j	NOUN
ejpam-459	213	15	)	)	PUNCT
ejpam-459	213	16	=	=	SYM
ejpam-459	213	17	0	0	NUM
ejpam-459	213	18	,	,	PUNCT
ejpam-459	213	19	(	(	PUNCT
ejpam-459	213	20	45	45	NUM
ejpam-459	213	21	)	)	PUNCT
ejpam-459	213	22	...	...	PUNCT
ejpam-459	213	23	,	,	PUNCT
ejpam-459	213	24	∆	∆	PROPN
ejpam-459	213	25	j−1(i	j−1(i	PROPN
ejpam-459	213	26	j	j	PROPN
ejpam-459	213	27	)	)	PUNCT
ejpam-459	214	1	=	=	PROPN
ejpam-459	214	2	0,∆	0,∆	NUM
ejpam-459	214	3	j+1(i	j+1(i	PROPN
ejpam-459	214	4	j	j	PROPN
ejpam-459	214	5	)	)	PUNCT
ejpam-459	215	1	=	=	SYM
ejpam-459	215	2	0	0	NUM
ejpam-459	215	3	,	,	PUNCT
ejpam-459	215	4	...	...	PUNCT
ejpam-459	215	5	,	,	PUNCT
ejpam-459	215	6	∆n−1(i	∆n−1(i	X
ejpam-459	215	7	j	j	PROPN
ejpam-459	215	8	)	)	PUNCT
ejpam-459	215	9	=	=	SYM
ejpam-459	215	10	0	0	NUM
ejpam-459	216	1	∆i(i	∆i(i	NUM
ejpam-459	216	2	j	j	PROPN
ejpam-459	216	3	)	)	PUNCT
ejpam-459	217	1	+	+	NOUN
ejpam-459	217	2	∆0	∆0	PROPN
ejpam-459	217	3	(	(	PUNCT
ejpam-459	217	4	jn	jn	PROPN
ejpam-459	217	5	)	)	PUNCT
ejpam-459	217	6	=	=	SYM
ejpam-459	217	7	0	0	NUM
ejpam-459	217	8	,	,	PUNCT
ejpam-459	217	9	∆	∆	PROPN
ejpam-459	217	10	j(i	j(i	PROPN
ejpam-459	217	11	j	j	PROPN
ejpam-459	217	12	)	)	PUNCT
ejpam-459	217	13	+	+	NOUN
ejpam-459	217	14	∆0(in	∆0(in	NOUN
ejpam-459	217	15	)	)	PUNCT
ejpam-459	217	16	=	=	SYM
ejpam-459	217	17	0	0	NUM
ejpam-459	217	18	,	,	PUNCT
ejpam-459	217	19	(	(	PUNCT
ejpam-459	217	20	46	46	NUM
ejpam-459	217	21	)	)	PUNCT
ejpam-459	217	22	∆i(in	∆i(in	NOUN
ejpam-459	217	23	)	)	PUNCT
ejpam-459	218	1	+	+	ADP
ejpam-459	218	2	∆	∆	PROPN
ejpam-459	218	3	j	j	PROPN
ejpam-459	218	4	(	(	PUNCT
ejpam-459	218	5	jn	jn	PROPN
ejpam-459	218	6	)	)	PUNCT
ejpam-459	218	7	+	+	PROPN
ejpam-459	218	8	∆0(nn	∆0(nn	NOUN
ejpam-459	218	9	)	)	PUNCT
ejpam-459	218	10	=	=	SYM
ejpam-459	218	11	0	0	PUNCT
ejpam-459	218	12	(	(	PUNCT
ejpam-459	218	13	47	47	NUM
ejpam-459	218	14	)	)	PUNCT
ejpam-459	218	15	and	and	CCONJ
ejpam-459	218	16	(	(	PUNCT
ejpam-459	218	17	37	37	NUM
ejpam-459	218	18	)	)	PUNCT
ejpam-459	218	19	and	and	CCONJ
ejpam-459	218	20	(	(	PUNCT
ejpam-459	218	21	39	39	NUM
ejpam-459	218	22	)	)	PUNCT
ejpam-459	218	23	again	again	ADV
ejpam-459	218	24	.	.	PUNCT
ejpam-459	219	1	from	from	ADP
ejpam-459	219	2	(	(	PUNCT
ejpam-459	219	3	44	44	NUM
ejpam-459	219	4	)	)	PUNCT
ejpam-459	219	5	and	and	CCONJ
ejpam-459	219	6	(	(	PUNCT
ejpam-459	219	7	45	45	NUM
ejpam-459	219	8	)	)	PUNCT
ejpam-459	219	9	,	,	PUNCT
ejpam-459	219	10	using	use	VERB
ejpam-459	219	11	(	(	PUNCT
ejpam-459	219	12	46	46	NUM
ejpam-459	219	13	)	)	PUNCT
ejpam-459	219	14	we	we	PRON
ejpam-459	219	15	get	get	VERB
ejpam-459	219	16	t	t	PROPN
ejpam-459	219	17	,	,	PUNCT
ejpam-459	219	18	i	i	PRON
ejpam-459	219	19	j	j	NOUN
ejpam-459	220	1	=	=	PUNCT
ejpam-459	220	2	a	a	DET
ejpam-459	220	3	jt	jt	PROPN
ejpam-459	220	4	,	,	PUNCT
ejpam-459	220	5	i	i	PROPN
ejpam-459	220	6	+	+	CCONJ
ejpam-459	220	7	ait	ait	PROPN
ejpam-459	220	8	,	,	PUNCT
ejpam-459	220	9	j.	j.	PROPN
ejpam-459	220	10	(	(	PUNCT
ejpam-459	220	11	48	48	NUM
ejpam-459	220	12	)	)	PUNCT
ejpam-459	220	13	the	the	DET
ejpam-459	220	14	results	result	NOUN
ejpam-459	220	15	(	(	PUNCT
ejpam-459	220	16	43	43	NUM
ejpam-459	220	17	)	)	PUNCT
ejpam-459	220	18	,	,	PUNCT
ejpam-459	220	19	(	(	PUNCT
ejpam-459	220	20	44	44	NUM
ejpam-459	220	21	)	)	PUNCT
ejpam-459	220	22	and	and	CCONJ
ejpam-459	220	23	(	(	PUNCT
ejpam-459	220	24	48	48	NUM
ejpam-459	220	25	)	)	PUNCT
ejpam-459	220	26	can	can	AUX
ejpam-459	220	27	be	be	AUX
ejpam-459	220	28	expressed	express	VERB
ejpam-459	220	29	by	by	ADP
ejpam-459	220	30	a	a	DET
ejpam-459	220	31	single	single	ADJ
ejpam-459	220	32	equation	equation	NOUN
ejpam-459	220	33	as	as	ADP
ejpam-459	220	34	t	t	PROPN
ejpam-459	220	35	,	,	PUNCT
ejpam-459	220	36	ab	ab	PROPN
ejpam-459	220	37	=	=	SYM
ejpam-459	220	38	abt	abt	PROPN
ejpam-459	220	39	,	,	PUNCT
ejpam-459	220	40	a	a	DET
ejpam-459	220	41	+	+	X
ejpam-459	220	42	aat	aat	X
ejpam-459	220	43	,	,	PUNCT
ejpam-459	220	44	b	b	NOUN
ejpam-459	220	45	,	,	PUNCT
ejpam-459	220	46	(	(	PUNCT
ejpam-459	220	47	a	a	PRON
ejpam-459	220	48	,	,	PUNCT
ejpam-459	220	49	b	b	NOUN
ejpam-459	220	50	=	=	SYM
ejpam-459	220	51	1	1	NUM
ejpam-459	220	52	,	,	PUNCT
ejpam-459	220	53	2	2	NUM
ejpam-459	220	54	,	,	PUNCT
ejpam-459	220	55	.	.	PUNCT
ejpam-459	220	56	.	.	PUNCT
ejpam-459	221	1	.	.	PUNCT
ejpam-459	221	2	,	,	PUNCT
ejpam-459	222	1	n	n	CCONJ
ejpam-459	222	2	)	)	PUNCT
ejpam-459	222	3	.	.	PUNCT
ejpam-459	223	1	(	(	PUNCT
ejpam-459	223	2	49	49	NUM
ejpam-459	223	3	)	)	PUNCT
ejpam-459	223	4	(	(	PUNCT
ejpam-459	223	5	47	47	NUM
ejpam-459	223	6	)	)	PUNCT
ejpam-459	223	7	is	be	AUX
ejpam-459	223	8	automatically	automatically	ADV
ejpam-459	223	9	satisfied	satisfy	VERB
ejpam-459	223	10	by	by	ADP
ejpam-459	223	11	these	these	DET
ejpam-459	223	12	results	result	NOUN
ejpam-459	223	13	.	.	PUNCT
ejpam-459	224	1	from	from	ADP
ejpam-459	224	2	(	(	PUNCT
ejpam-459	224	3	37	37	NUM
ejpam-459	224	4	)	)	PUNCT
ejpam-459	224	5	to	to	ADP
ejpam-459	224	6	(	(	PUNCT
ejpam-459	224	7	40	40	NUM
ejpam-459	224	8	)	)	PUNCT
ejpam-459	224	9	and	and	CCONJ
ejpam-459	224	10	from	from	ADP
ejpam-459	224	11	(	(	PUNCT
ejpam-459	224	12	45	45	NUM
ejpam-459	224	13	)	)	PUNCT
ejpam-459	224	14	to	to	ADP
ejpam-459	224	15	(	(	PUNCT
ejpam-459	224	16	47	47	NUM
ejpam-459	224	17	)	)	PUNCT
ejpam-459	224	18	all	all	DET
ejpam-459	224	19	equations	equation	NOUN
ejpam-459	224	20	are	be	AUX
ejpam-459	224	21	satisfied	satisfied	ADJ
ejpam-459	224	22	by	by	ADP
ejpam-459	224	23	(	(	PUNCT
ejpam-459	224	24	49	49	NUM
ejpam-459	224	25	)	)	PUNCT
ejpam-459	224	26	.	.	PUNCT
ejpam-459	225	1	thus	thus	ADV
ejpam-459	225	2	we	we	PRON
ejpam-459	225	3	have	have	VERB
ejpam-459	225	4	the	the	DET
ejpam-459	225	5	following	follow	VERB
ejpam-459	225	6	theorem	theorem	VERB
ejpam-459	225	7	.	.	PUNCT
ejpam-459	225	8	theorem	theorem	NOUN
ejpam-459	225	9	1	1	NUM
ejpam-459	225	10	.	.	PUNCT
ejpam-459	226	1	a	a	DET
ejpam-459	226	2	transformation	transformation	NOUN
ejpam-459	226	3	t	t	NOUN
ejpam-459	226	4	which	which	PRON
ejpam-459	226	5	preserves	preserve	VERB
ejpam-459	226	6	the	the	DET
ejpam-459	226	7	asymptotic	asymptotic	ADJ
ejpam-459	226	8	directions	direction	NOUN
ejpam-459	226	9	of	of	ADP
ejpam-459	226	10	a	a	DET
ejpam-459	226	11	hypersurface	hypersurface	NOUN
ejpam-459	226	12	must	must	AUX
ejpam-459	226	13	satisfy	satisfy	VERB
ejpam-459	226	14	the	the	DET
ejpam-459	226	15	equations	equation	NOUN
ejpam-459	226	16	t	t	PROPN
ejpam-459	226	17	,	,	PUNCT
ejpam-459	226	18	ab	ab	PROPN
ejpam-459	226	19	=	=	SYM
ejpam-459	226	20	abt	abt	PROPN
ejpam-459	226	21	,	,	PUNCT
ejpam-459	226	22	a	a	DET
ejpam-459	226	23	+	+	X
ejpam-459	226	24	aat	aat	X
ejpam-459	226	25	,	,	PUNCT
ejpam-459	226	26	b	b	NOUN
ejpam-459	226	27	,	,	PUNCT
ejpam-459	226	28	(	(	PUNCT
ejpam-459	226	29	a	a	PRON
ejpam-459	226	30	,	,	PUNCT
ejpam-459	226	31	b	b	NOUN
ejpam-459	226	32	=	=	SYM
ejpam-459	226	33	1	1	NUM
ejpam-459	226	34	,	,	PUNCT
ejpam-459	226	35	2	2	NUM
ejpam-459	226	36	,	,	PUNCT
ejpam-459	226	37	.	.	PUNCT
ejpam-459	226	38	.	.	PUNCT
ejpam-459	227	1	.	.	PUNCT
ejpam-459	228	1	,	,	PUNCT
ejpam-459	228	2	n	n	CCONJ
ejpam-459	228	3	)	)	PUNCT
ejpam-459	228	4	(	(	PUNCT
ejpam-459	228	5	50	50	NUM
ejpam-459	228	6	)	)	PUNCT
ejpam-459	228	7	where	where	SCONJ
ejpam-459	228	8	a1	a1	NOUN
ejpam-459	228	9	,	,	PUNCT
ejpam-459	228	10	a2	a2	PROPN
ejpam-459	228	11	,	,	PUNCT
ejpam-459	228	12	.	.	PUNCT
ejpam-459	228	13	.	.	PUNCT
ejpam-459	229	1	.	.	PUNCT
ejpam-459	230	1	,	,	PUNCT
ejpam-459	230	2	an	an	PRON
ejpam-459	230	3	are	be	AUX
ejpam-459	230	4	arbitrary	arbitrary	ADJ
ejpam-459	230	5	functions	function	NOUN
ejpam-459	230	6	of	of	ADP
ejpam-459	230	7	variables	variable	NOUN
ejpam-459	230	8	x1	x1	PROPN
ejpam-459	230	9	,	,	PUNCT
ejpam-459	230	10	x2	x2	PROPN
ejpam-459	230	11	,	,	PUNCT
ejpam-459	230	12	.	.	PUNCT
ejpam-459	230	13	.	.	PUNCT
ejpam-459	231	1	.	.	PUNCT
ejpam-459	232	1	,	,	PUNCT
ejpam-459	232	2	x	x	X
ejpam-459	232	3	n	n	X
ejpam-459	232	4	.	.	PUNCT
ejpam-459	233	1	references	reference	NOUN
ejpam-459	233	2	573	573	NUM
ejpam-459	233	3	references	reference	NOUN
ejpam-459	233	4	[	[	X
ejpam-459	233	5	1	1	NUM
ejpam-459	233	6	]	]	X
ejpam-459	233	7	y.	y.	NOUN
ejpam-459	233	8	alagöz	alagöz	PROPN
ejpam-459	233	9	,	,	PUNCT
ejpam-459	233	10	z.	z.	PROPN
ejpam-459	233	11	soyuçok	soyuçok	PROPN
ejpam-459	233	12	,	,	PUNCT
ejpam-459	233	13	a	a	DET
ejpam-459	233	14	note	note	NOUN
ejpam-459	233	15	“	"	PUNCT
ejpam-459	233	16	on	on	ADP
ejpam-459	233	17	transformation	transformation	NOUN
ejpam-459	233	18	preserving	preserve	VERB
ejpam-459	233	19	asymptotic	asymptotic	ADJ
ejpam-459	233	20	lines	line	NOUN
ejpam-459	233	21	of	of	ADP
ejpam-459	233	22	surfaces	surface	NOUN
ejpam-459	233	23	in	in	ADP
ejpam-459	233	24	three	three	NUM
ejpam-459	233	25	-	-	PUNCT
ejpam-459	233	26	dimensional	dimensional	ADJ
ejpam-459	233	27	euclidean	euclidean	ADJ
ejpam-459	233	28	space	space	NOUN
ejpam-459	233	29	”	"	PUNCT
ejpam-459	233	30	.	.	PUNCT
ejpam-459	234	1	bulletin	bulletin	NOUN
ejpam-459	234	2	of	of	ADP
ejpam-459	234	3	the	the	DET
ejpam-459	234	4	technical	technical	ADJ
ejpam-459	234	5	university	university	PROPN
ejpam-459	234	6	of	of	ADP
ejpam-459	234	7	istanbul	istanbul	PROPN
ejpam-459	234	8	.	.	PUNCT
ejpam-459	235	1	submitted	submit	VERB
ejpam-459	235	2	.	.	PUNCT
ejpam-459	236	1	[	[	X
ejpam-459	236	2	2	2	X
ejpam-459	236	3	]	]	X
ejpam-459	236	4	y.	y.	PROPN
ejpam-459	236	5	aminov	aminov	PROPN
ejpam-459	236	6	,	,	PUNCT
ejpam-459	236	7	the	the	DET
ejpam-459	236	8	geometry	geometry	NOUN
ejpam-459	236	9	of	of	ADP
ejpam-459	236	10	submanifolds	submanifolds	PROPN
ejpam-459	236	11	.	.	PUNCT
ejpam-459	237	1	gordon	gordon	PROPN
ejpam-459	237	2	and	and	CCONJ
ejpam-459	237	3	breach	breach	VERB
ejpam-459	237	4	science	science	NOUN
ejpam-459	237	5	publisher	publisher	NOUN
ejpam-459	237	6	,	,	PUNCT
ejpam-459	237	7	amsterdam	amsterdam	PROPN
ejpam-459	237	8	,	,	PUNCT
ejpam-459	237	9	2001	2001	NUM
ejpam-459	237	10	,	,	PUNCT
ejpam-459	237	11	p.36	p.36	NOUN
ejpam-459	237	12	-	-	SYM
ejpam-459	237	13	45	45	NUM
ejpam-459	237	14	.	.	PUNCT
ejpam-459	238	1	[	[	X
ejpam-459	238	2	3	3	X
ejpam-459	238	3	]	]	X
ejpam-459	238	4	l.	l.	NOUN
ejpam-459	238	5	p	p	PROPN
ejpam-459	238	6	eisenhart	eisenhart	PROPN
ejpam-459	238	7	,	,	PUNCT
ejpam-459	238	8	a	a	DET
ejpam-459	238	9	treatise	treatise	NOUN
ejpam-459	238	10	on	on	ADP
ejpam-459	238	11	the	the	DET
ejpam-459	238	12	differantial	differantial	ADJ
ejpam-459	238	13	geometry	geometry	NOUN
ejpam-459	238	14	of	of	ADP
ejpam-459	238	15	curves	curve	NOUN
ejpam-459	238	16	and	and	CCONJ
ejpam-459	238	17	surfaces	surface	NOUN
ejpam-459	238	18	.	.	PUNCT
ejpam-459	239	1	dover	dover	PROPN
ejpam-459	239	2	publications	publications	PROPN
ejpam-459	239	3	,	,	PUNCT
ejpam-459	239	4	inc	inc	PROPN
ejpam-459	239	5	.	.	PROPN
ejpam-459	239	6	,	,	PUNCT
ejpam-459	239	7	new	new	PROPN
ejpam-459	239	8	york	york	PROPN
ejpam-459	239	9	,	,	PUNCT
ejpam-459	239	10	1960	1960	NUM
ejpam-459	239	11	,	,	PUNCT
ejpam-459	239	12	p.202	p.202	NOUN
ejpam-459	239	13	.	.	PUNCT
ejpam-459	240	1	[	[	X
ejpam-459	240	2	4	4	NUM
ejpam-459	240	3	]	]	X
ejpam-459	240	4	f.	f.	PROPN
ejpam-459	240	5	uras	uras	PROPN
ejpam-459	240	6	,	,	PUNCT
ejpam-459	240	7	on	on	ADP
ejpam-459	240	8	transformation	transformation	NOUN
ejpam-459	240	9	preserving	preserve	VERB
ejpam-459	240	10	asymptotic	asymptotic	ADJ
ejpam-459	240	11	lines	line	NOUN
ejpam-459	240	12	of	of	ADP
ejpam-459	240	13	surfaces	surface	NOUN
ejpam-459	240	14	in	in	ADP
ejpam-459	240	15	three	three	NUM
ejpam-459	240	16	-	-	PUNCT
ejpam-459	240	17	dimensional	dimensional	ADJ
ejpam-459	240	18	euclidean	euclidean	ADJ
ejpam-459	240	19	space	space	NOUN
ejpam-459	240	20	.	.	PUNCT
ejpam-459	241	1	bulletin	bulletin	NOUN
ejpam-459	241	2	of	of	ADP
ejpam-459	241	3	the	the	DET
ejpam-459	241	4	technical	technical	ADJ
ejpam-459	241	5	university	university	PROPN
ejpam-459	241	6	of	of	ADP
ejpam-459	241	7	istanbul	istanbul	PROPN
ejpam-459	241	8	.	.	PUNCT
ejpam-459	242	1	48	48	NUM
ejpam-459	242	2	,	,	PUNCT
ejpam-459	242	3	1	1	NUM
ejpam-459	242	4	:	:	SYM
ejpam-459	242	5	165	165	NUM
ejpam-459	242	6	-	-	SYM
ejpam-459	242	7	179	179	NUM
ejpam-459	242	8	(	(	PUNCT
ejpam-459	242	9	1995	1995	NUM
ejpam-459	242	10	)	)	PUNCT
ejpam-459	242	11	.	.	PUNCT
ejpam-459	243	1	[	[	X
ejpam-459	243	2	5	5	X
ejpam-459	243	3	]	]	PUNCT
ejpam-459	243	4	c.	c.	PROPN
ejpam-459	243	5	e.	e.	PROPN
ejpam-459	243	6	weatherburn	weatherburn	PROPN
ejpam-459	243	7	,	,	PUNCT
ejpam-459	243	8	an	an	DET
ejpam-459	243	9	introduction	introduction	NOUN
ejpam-459	243	10	to	to	ADP
ejpam-459	243	11	riemannian	riemannian	ADJ
ejpam-459	243	12	geometry	geometry	NOUN
ejpam-459	243	13	and	and	CCONJ
ejpam-459	243	14	the	the	DET
ejpam-459	243	15	tensor	tensor	NOUN
ejpam-459	243	16	calculus	calculus	NOUN
ejpam-459	243	17	.	.	PUNCT
ejpam-459	244	1	cambridge	cambridge	PROPN
ejpam-459	244	2	university	university	PROPN
ejpam-459	244	3	press	press	PROPN
ejpam-459	244	4	,	,	PUNCT
ejpam-459	244	5	cambridge	cambridge	PROPN
ejpam-459	244	6	,	,	PUNCT
ejpam-459	244	7	1963	1963	NUM
ejpam-459	244	8	,	,	PUNCT
ejpam-459	244	9	p.134	p.134	NOUN
ejpam-459	244	10	.	.	PUNCT