id	sid	tid	token	lemma	pos
ejpam-1175	1	1	10_xxx_rassias.dvi	10_xxx_rassias.dvi	NUM
ejpam-1175	1	2	european	european	PROPN
ejpam-1175	1	3	journal	journal	PROPN
ejpam-1175	1	4	of	of	ADP
ejpam-1175	1	5	pure	pure	ADJ
ejpam-1175	1	6	and	and	CCONJ
ejpam-1175	1	7	applied	apply	VERB
ejpam-1175	1	8	mathematics	mathematic	NOUN
ejpam-1175	1	9	vol	vol	NOUN
ejpam-1175	1	10	.	.	PROPN
ejpam-1175	1	11	4	4	NUM
ejpam-1175	1	12	,	,	PUNCT
ejpam-1175	1	13	no	no	INTJ
ejpam-1175	1	14	.	.	NOUN
ejpam-1175	1	15	2	2	NUM
ejpam-1175	1	16	,	,	PUNCT
ejpam-1175	1	17	2011	2011	NUM
ejpam-1175	1	18	,	,	PUNCT
ejpam-1175	1	19	186	186	NUM
ejpam-1175	1	20	-	-	SYM
ejpam-1175	1	21	208	208	NUM
ejpam-1175	1	22	issn	issn	PROPN
ejpam-1175	1	23	1307	1307	NUM
ejpam-1175	1	24	-	-	SYM
ejpam-1175	1	25	5543	5543	NUM
ejpam-1175	1	26	–	–	PUNCT
ejpam-1175	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-1175	1	28	the	the	DET
ejpam-1175	1	29	exterior	exterior	ADJ
ejpam-1175	1	30	tricomi	tricomi	NOUN
ejpam-1175	1	31	and	and	CCONJ
ejpam-1175	1	32	frankl	frankl	PROPN
ejpam-1175	1	33	problems	problem	NOUN
ejpam-1175	1	34	for	for	ADP
ejpam-1175	1	35	quaterellipticquaterhyperbolic	quaterellipticquaterhyperbolic	ADJ
ejpam-1175	1	36	equations	equation	NOUN
ejpam-1175	1	37	with	with	ADP
ejpam-1175	1	38	eight	eight	NUM
ejpam-1175	1	39	parabolic	parabolic	ADJ
ejpam-1175	1	40	lines	line	NOUN
ejpam-1175	1	41	john	john	PROPN
ejpam-1175	1	42	michael	michael	PROPN
ejpam-1175	1	43	rassias	rassia	VERB
ejpam-1175	1	44	national	national	ADJ
ejpam-1175	1	45	and	and	CCONJ
ejpam-1175	1	46	capodistrian	capodistrian	ADJ
ejpam-1175	1	47	university	university	PROPN
ejpam-1175	1	48	of	of	ADP
ejpam-1175	1	49	athens	athens	PROPN
ejpam-1175	1	50	,	,	PUNCT
ejpam-1175	1	51	pedagogical	pedagogical	ADJ
ejpam-1175	1	52	department	department	NOUN
ejpam-1175	1	53	,	,	PUNCT
ejpam-1175	1	54	section	section	NOUN
ejpam-1175	1	55	of	of	ADP
ejpam-1175	1	56	mathematics	mathematic	NOUN
ejpam-1175	1	57	and	and	CCONJ
ejpam-1175	1	58	informatics	informatic	NOUN
ejpam-1175	1	59	,	,	PUNCT
ejpam-1175	1	60	4	4	NUM
ejpam-1175	1	61	,	,	PUNCT
ejpam-1175	1	62	agamemnonos	agamemnono	NOUN
ejpam-1175	1	63	str	str	PRON
ejpam-1175	1	64	.	.	PUNCT
ejpam-1175	1	65	,	,	PUNCT
ejpam-1175	1	66	aghia	aghia	VERB
ejpam-1175	1	67	paraskevi	paraskevi	ADJ
ejpam-1175	1	68	athens	athen	NOUN
ejpam-1175	1	69	,	,	PUNCT
ejpam-1175	1	70	attikis	attikis	PROPN
ejpam-1175	1	71	15342	15342	NUM
ejpam-1175	1	72	,	,	PUNCT
ejpam-1175	1	73	greece	greece	PROPN
ejpam-1175	1	74	abstract	abstract	PROPN
ejpam-1175	1	75	.	.	PUNCT
ejpam-1175	2	1	the	the	DET
ejpam-1175	2	2	famous	famous	ADJ
ejpam-1175	2	3	tricomi	tricomi	NOUN
ejpam-1175	2	4	equation	equation	NOUN
ejpam-1175	2	5	was	be	AUX
ejpam-1175	2	6	established	establish	VERB
ejpam-1175	2	7	in	in	ADP
ejpam-1175	2	8	1923	1923	NUM
ejpam-1175	2	9	by	by	ADP
ejpam-1175	2	10	f.	f.	PROPN
ejpam-1175	2	11	g.	g.	PROPN
ejpam-1175	2	12	tricomi	tricomi	PROPN
ejpam-1175	2	13	who	who	PRON
ejpam-1175	2	14	is	be	AUX
ejpam-1175	2	15	the	the	DET
ejpam-1175	2	16	pioneer	pioneer	NOUN
ejpam-1175	2	17	of	of	ADP
ejpam-1175	2	18	parabolic	parabolic	PROPN
ejpam-1175	2	19	elliptic	elliptic	ADJ
ejpam-1175	2	20	and	and	CCONJ
ejpam-1175	2	21	hyperbolic	hyperbolic	ADJ
ejpam-1175	2	22	boundary	boundary	ADJ
ejpam-1175	2	23	value	value	NOUN
ejpam-1175	2	24	problems	problem	NOUN
ejpam-1175	2	25	and	and	CCONJ
ejpam-1175	2	26	related	related	ADJ
ejpam-1175	2	27	problems	problem	NOUN
ejpam-1175	2	28	of	of	ADP
ejpam-1175	2	29	variable	variable	ADJ
ejpam-1175	2	30	type	type	NOUN
ejpam-1175	2	31	.	.	PUNCT
ejpam-1175	3	1	in	in	ADP
ejpam-1175	3	2	1945	1945	NUM
ejpam-1175	3	3	f.	f.	PROPN
ejpam-1175	3	4	i.	i.	PROPN
ejpam-1175	3	5	frankl	frankl	PROPN
ejpam-1175	3	6	established	establish	VERB
ejpam-1175	3	7	a	a	DET
ejpam-1175	3	8	generalization	generalization	NOUN
ejpam-1175	3	9	of	of	ADP
ejpam-1175	3	10	these	these	DET
ejpam-1175	3	11	problems	problem	NOUN
ejpam-1175	3	12	for	for	ADP
ejpam-1175	3	13	the	the	DET
ejpam-1175	3	14	well	well	ADV
ejpam-1175	3	15	-	-	PUNCT
ejpam-1175	3	16	known	know	VERB
ejpam-1175	3	17	chaplygin	chaplygin	NOUN
ejpam-1175	3	18	equation	equation	NOUN
ejpam-1175	3	19	subject	subject	ADJ
ejpam-1175	3	20	to	to	ADP
ejpam-1175	3	21	a	a	DET
ejpam-1175	3	22	certain	certain	ADJ
ejpam-1175	3	23	frankl	frankl	PROPN
ejpam-1175	3	24	condition	condition	NOUN
ejpam-1175	3	25	.	.	PUNCT
ejpam-1175	4	1	in	in	ADP
ejpam-1175	4	2	1953	1953	NUM
ejpam-1175	4	3	and	and	CCONJ
ejpam-1175	4	4	1955	1955	NUM
ejpam-1175	4	5	m.	m.	NOUN
ejpam-1175	4	6	h.	h.	PROPN
ejpam-1175	4	7	protter	protter	PROPN
ejpam-1175	4	8	generalized	generalize	VERB
ejpam-1175	4	9	these	these	DET
ejpam-1175	4	10	problems	problem	NOUN
ejpam-1175	4	11	even	even	ADV
ejpam-1175	4	12	further	far	ADV
ejpam-1175	4	13	by	by	ADP
ejpam-1175	4	14	improving	improve	VERB
ejpam-1175	4	15	the	the	DET
ejpam-1175	4	16	frankl	frankl	PROPN
ejpam-1175	4	17	condition	condition	NOUN
ejpam-1175	4	18	.	.	PUNCT
ejpam-1175	5	1	in	in	ADP
ejpam-1175	5	2	1977	1977	NUM
ejpam-1175	5	3	we	we	PRON
ejpam-1175	5	4	generalized	generalize	VERB
ejpam-1175	5	5	these	these	DET
ejpam-1175	5	6	results	result	NOUN
ejpam-1175	5	7	in	in	ADP
ejpam-1175	5	8	several	several	ADJ
ejpam-1175	5	9	ndimensional	ndimensional	ADJ
ejpam-1175	5	10	simply	simply	ADV
ejpam-1175	5	11	connected	connect	VERB
ejpam-1175	5	12	domains	domain	NOUN
ejpam-1175	5	13	.	.	PUNCT
ejpam-1175	6	1	in	in	ADP
ejpam-1175	6	2	1990	1990	NUM
ejpam-1175	6	3	we	we	PRON
ejpam-1175	6	4	proposed	propose	VERB
ejpam-1175	6	5	the	the	DET
ejpam-1175	6	6	exterior	exterior	ADJ
ejpam-1175	6	7	tricomi	tricomi	NOUN
ejpam-1175	6	8	problem	problem	NOUN
ejpam-1175	6	9	in	in	ADP
ejpam-1175	6	10	a	a	DET
ejpam-1175	6	11	doubly	doubly	ADV
ejpam-1175	6	12	connected	connected	ADJ
ejpam-1175	6	13	domain	domain	NOUN
ejpam-1175	6	14	.	.	PUNCT
ejpam-1175	7	1	in	in	ADP
ejpam-1175	7	2	2002	2002	NUM
ejpam-1175	7	3	we	we	PRON
ejpam-1175	7	4	considered	consider	VERB
ejpam-1175	7	5	uniqueness	uniqueness	NOUN
ejpam-1175	7	6	of	of	ADP
ejpam-1175	7	7	quasi	quasi	ADJ
ejpam-1175	7	8	-	-	ADJ
ejpam-1175	7	9	regular	regular	ADJ
ejpam-1175	7	10	solutions	solution	NOUN
ejpam-1175	7	11	for	for	ADP
ejpam-1175	7	12	a	a	DET
ejpam-1175	7	13	bi	bi	ADJ
ejpam-1175	7	14	-	-	ADJ
ejpam-1175	7	15	parabolic	parabolic	ADJ
ejpam-1175	7	16	elliptic	elliptic	ADJ
ejpam-1175	7	17	bi	bi	ADJ
ejpam-1175	7	18	-	-	ADJ
ejpam-1175	7	19	hyperbolic	hyperbolic	ADJ
ejpam-1175	7	20	tricomi	tricomi	NOUN
ejpam-1175	7	21	problem	problem	NOUN
ejpam-1175	7	22	.	.	PUNCT
ejpam-1175	8	1	in	in	ADP
ejpam-1175	8	2	2006	2006	NUM
ejpam-1175	8	3	g.	g.	PROPN
ejpam-1175	8	4	c.	c.	PROPN
ejpam-1175	8	5	wen	wen	PROPN
ejpam-1175	8	6	investigated	investigate	VERB
ejpam-1175	8	7	the	the	DET
ejpam-1175	8	8	exterior	exterior	ADJ
ejpam-1175	8	9	tricomi	tricomi	NOUN
ejpam-1175	8	10	problem	problem	NOUN
ejpam-1175	8	11	for	for	ADP
ejpam-1175	8	12	general	general	ADJ
ejpam-1175	8	13	mixed	mixed	ADJ
ejpam-1175	8	14	type	type	NOUN
ejpam-1175	8	15	equations	equation	NOUN
ejpam-1175	8	16	.	.	PUNCT
ejpam-1175	9	1	in	in	ADP
ejpam-1175	9	2	this	this	DET
ejpam-1175	9	3	paper	paper	NOUN
ejpam-1175	9	4	we	we	PRON
ejpam-1175	9	5	establish	establish	VERB
ejpam-1175	9	6	uniqueness	uniqueness	NOUN
ejpam-1175	9	7	of	of	ADP
ejpam-1175	9	8	quasi	quasi	ADJ
ejpam-1175	9	9	-	-	ADJ
ejpam-1175	9	10	regular	regular	ADJ
ejpam-1175	9	11	solutions	solution	NOUN
ejpam-1175	9	12	for	for	ADP
ejpam-1175	9	13	the	the	DET
ejpam-1175	9	14	exterior	exterior	ADJ
ejpam-1175	9	15	tricomi	tricomi	NOUN
ejpam-1175	9	16	and	and	CCONJ
ejpam-1175	9	17	frankl	frankl	PROPN
ejpam-1175	9	18	problems	problem	NOUN
ejpam-1175	9	19	for	for	ADP
ejpam-1175	9	20	quaterelliptic	quaterelliptic	ADJ
ejpam-1175	9	21	quaterhyperbolic	quaterhyperbolic	ADJ
ejpam-1175	9	22	mixed	mixed	ADJ
ejpam-1175	9	23	type	type	NOUN
ejpam-1175	9	24	partial	partial	ADJ
ejpam-1175	9	25	differential	differential	ADJ
ejpam-1175	9	26	equations	equation	NOUN
ejpam-1175	9	27	of	of	ADP
ejpam-1175	9	28	second	second	ADJ
ejpam-1175	9	29	order	order	NOUN
ejpam-1175	9	30	with	with	ADP
ejpam-1175	9	31	eight	eight	NUM
ejpam-1175	9	32	parabolic	parabolic	ADJ
ejpam-1175	9	33	degenerate	degenerate	ADJ
ejpam-1175	9	34	lines	line	NOUN
ejpam-1175	9	35	and	and	CCONJ
ejpam-1175	9	36	propose	propose	VERB
ejpam-1175	9	37	certain	certain	ADJ
ejpam-1175	9	38	open	open	ADJ
ejpam-1175	9	39	problems	problem	NOUN
ejpam-1175	9	40	.	.	PUNCT
ejpam-1175	10	1	these	these	DET
ejpam-1175	10	2	mixed	mixed	ADJ
ejpam-1175	10	3	type	type	NOUN
ejpam-1175	10	4	boundary	boundary	ADJ
ejpam-1175	10	5	value	value	NOUN
ejpam-1175	10	6	problems	problem	NOUN
ejpam-1175	10	7	are	be	AUX
ejpam-1175	10	8	very	very	ADV
ejpam-1175	10	9	important	important	ADJ
ejpam-1175	10	10	in	in	ADP
ejpam-1175	10	11	fluid	fluid	ADJ
ejpam-1175	10	12	mechanics	mechanic	NOUN
ejpam-1175	10	13	.	.	PUNCT
ejpam-1175	11	1	2000	2000	NUM
ejpam-1175	11	2	mathematics	mathematic	NOUN
ejpam-1175	11	3	subject	subject	NOUN
ejpam-1175	11	4	classifications	classification	NOUN
ejpam-1175	11	5	:	:	PUNCT
ejpam-1175	11	6	35mo5	35mo5	X
ejpam-1175	11	7	.	.	PUNCT
ejpam-1175	12	1	key	key	ADJ
ejpam-1175	12	2	words	word	NOUN
ejpam-1175	12	3	and	and	CCONJ
ejpam-1175	12	4	phrases	phrase	NOUN
ejpam-1175	12	5	:	:	PUNCT
ejpam-1175	12	6	quasi	quasi	ADJ
ejpam-1175	12	7	-	-	ADJ
ejpam-1175	12	8	regular	regular	ADJ
ejpam-1175	12	9	solution	solution	NOUN
ejpam-1175	12	10	,	,	PUNCT
ejpam-1175	12	11	tricomi	tricomi	NOUN
ejpam-1175	12	12	equation	equation	NOUN
ejpam-1175	12	13	,	,	PUNCT
ejpam-1175	12	14	chaplygin	chaplygin	ADJ
ejpam-1175	12	15	equation	equation	NOUN
ejpam-1175	12	16	,	,	PUNCT
ejpam-1175	12	17	quaterelliptic	quaterelliptic	ADJ
ejpam-1175	12	18	equation	equation	NOUN
ejpam-1175	12	19	,	,	PUNCT
ejpam-1175	12	20	quaterhyperbolic	quaterhyperbolic	ADJ
ejpam-1175	12	21	equation	equation	NOUN
ejpam-1175	12	22	,	,	PUNCT
ejpam-1175	12	23	tricomi	tricomi	NOUN
ejpam-1175	12	24	problem	problem	NOUN
ejpam-1175	12	25	.	.	PUNCT
ejpam-1175	13	1	1	1	X
ejpam-1175	13	2	.	.	X
ejpam-1175	13	3	introduction	introduction	NOUN
ejpam-1175	13	4	in	in	ADP
ejpam-1175	13	5	1904	1904	NUM
ejpam-1175	13	6	s.	s.	PROPN
ejpam-1175	13	7	a.	a.	PROPN
ejpam-1175	13	8	chaplygin	chaplygin	PROPN
ejpam-1175	14	1	[	[	X
ejpam-1175	14	2	11	11	NUM
ejpam-1175	14	3	]	]	PUNCT
ejpam-1175	14	4	pointed	point	VERB
ejpam-1175	14	5	out	out	ADP
ejpam-1175	14	6	that	that	SCONJ
ejpam-1175	14	7	the	the	DET
ejpam-1175	14	8	nonlinear	nonlinear	ADJ
ejpam-1175	14	9	equation	equation	NOUN
ejpam-1175	14	10	of	of	ADP
ejpam-1175	14	11	an	an	DET
ejpam-1175	14	12	adiabatic	adiabatic	ADJ
ejpam-1175	14	13	potential	potential	ADJ
ejpam-1175	14	14	perfect	perfect	ADJ
ejpam-1175	14	15	gas	gas	NOUN
ejpam-1175	14	16	:	:	PUNCT
ejpam-1175	14	17	(	(	PUNCT
ejpam-1175	14	18	ρ2α2	ρ2α2	NOUN
ejpam-1175	14	19	−ψy	−ψy	PROPN
ejpam-1175	14	20	2)ψx	2)ψx	NUM
ejpam-1175	14	21	x	x	PUNCT
ejpam-1175	15	1	+	+	PUNCT
ejpam-1175	15	2	2ψxψyψx	2ψxψyψx	NUM
ejpam-1175	15	3	y	y	NOUN
ejpam-1175	15	4	+	+	CCONJ
ejpam-1175	15	5	(	(	PUNCT
ejpam-1175	15	6	ρ	ρ	PROPN
ejpam-1175	15	7	2α2	2α2	NUM
ejpam-1175	15	8	−ψx	−ψx	PROPN
ejpam-1175	15	9	2)ψy	2)ψy	PROPN
ejpam-1175	15	10	y	y	PROPN
ejpam-1175	15	11	=	=	SYM
ejpam-1175	15	12	0	0	NUM
ejpam-1175	15	13	,	,	PUNCT
ejpam-1175	15	14	is	be	AUX
ejpam-1175	15	15	closely	closely	ADV
ejpam-1175	15	16	connected	connect	VERB
ejpam-1175	15	17	with	with	ADP
ejpam-1175	15	18	the	the	DET
ejpam-1175	15	19	study	study	NOUN
ejpam-1175	15	20	of	of	ADP
ejpam-1175	15	21	the	the	DET
ejpam-1175	15	22	linear	linear	ADJ
ejpam-1175	15	23	mixed	mixed	ADJ
ejpam-1175	15	24	type	type	NOUN
ejpam-1175	15	25	equation	equation	NOUN
ejpam-1175	15	26	k(y)ux	k(y)ux	NOUN
ejpam-1175	15	27	x	x	PUNCT
ejpam-1175	16	1	+	+	CCONJ
ejpam-1175	16	2	uy	uy	PROPN
ejpam-1175	16	3	y	y	NOUN
ejpam-1175	16	4	=	=	SYM
ejpam-1175	16	5	0	0	NUM
ejpam-1175	16	6	email	email	NOUN
ejpam-1175	16	7	addresses	address	NOUN
ejpam-1175	16	8	:	:	PUNCT
ejpam-1175	17	1	jrassias�primedu.uoa.gr	jrassias�primedu.uoa.gr	ADV
ejpam-1175	17	2	;	;	PUNCT
ejpam-1175	17	3	jrass�otenet.gr	jrass�otenet.gr	VERB
ejpam-1175	17	4	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1175	17	5	186	186	NUM
ejpam-1175	17	6	c	c	X
ejpam-1175	17	7	©	©	PROPN
ejpam-1175	17	8	2011	2011	NUM
ejpam-1175	17	9	ejpam	ejpam	VERB
ejpam-1175	17	10	all	all	DET
ejpam-1175	17	11	rights	right	NOUN
ejpam-1175	17	12	reserved	reserve	VERB
ejpam-1175	17	13	.	.	PUNCT
ejpam-1175	18	1	j.	j.	PROPN
ejpam-1175	18	2	rassias	rassias	PROPN
ejpam-1175	18	3	/	/	SYM
ejpam-1175	18	4	eur	eur	PROPN
ejpam-1175	18	5	.	.	PUNCT
ejpam-1175	19	1	j.	j.	PROPN
ejpam-1175	19	2	pure	pure	PROPN
ejpam-1175	19	3	appl	appl	PROPN
ejpam-1175	19	4	.	.	PROPN
ejpam-1175	19	5	math	math	PROPN
ejpam-1175	19	6	,	,	PUNCT
ejpam-1175	19	7	4	4	NUM
ejpam-1175	19	8	(	(	PUNCT
ejpam-1175	19	9	2011	2011	NUM
ejpam-1175	19	10	)	)	PUNCT
ejpam-1175	19	11	,	,	PUNCT
ejpam-1175	19	12	186	186	NUM
ejpam-1175	19	13	-	-	SYM
ejpam-1175	19	14	208	208	NUM
ejpam-1175	19	15	187	187	NUM
ejpam-1175	19	16	named	name	VERB
ejpam-1175	19	17	chaplygin	chaplygin	NOUN
ejpam-1175	19	18	equation	equation	NOUN
ejpam-1175	19	19	,	,	PUNCT
ejpam-1175	19	20	where	where	SCONJ
ejpam-1175	19	21	ψ	ψ	ADP
ejpam-1175	19	22	=	=	PROPN
ejpam-1175	19	23	ψ(x	ψ(x	PROPN
ejpam-1175	19	24	,	,	PUNCT
ejpam-1175	19	25	y	y	PROPN
ejpam-1175	19	26	)	)	PUNCT
ejpam-1175	19	27	is	be	AUX
ejpam-1175	19	28	the	the	DET
ejpam-1175	19	29	stream	stream	NOUN
ejpam-1175	19	30	function	function	NOUN
ejpam-1175	19	31	,	,	PUNCT
ejpam-1175	19	32	α	α	NOUN
ejpam-1175	19	33	:	:	PUNCT
ejpam-1175	19	34	=	=	SYM
ejpam-1175	19	35	local	local	ADJ
ejpam-1175	19	36	velocity	velocity	NOUN
ejpam-1175	19	37	of	of	ADP
ejpam-1175	19	38	sound	sound	NOUN
ejpam-1175	19	39	and	and	CCONJ
ejpam-1175	19	40	ρ	ρ	NOUN
ejpam-1175	19	41	:	:	PUNCT
ejpam-1175	19	42	=	=	SYM
ejpam-1175	19	43	density	density	NOUN
ejpam-1175	19	44	of	of	ADP
ejpam-1175	19	45	gas	gas	NOUN
ejpam-1175	19	46	.	.	PUNCT
ejpam-1175	20	1	in	in	ADP
ejpam-1175	20	2	1923	1923	NUM
ejpam-1175	20	3	f.	f.	PROPN
ejpam-1175	20	4	g.	g.	PROPN
ejpam-1175	20	5	tricomi	tricomi	NOUN
ejpam-1175	21	1	[	[	X
ejpam-1175	21	2	19	19	NUM
ejpam-1175	21	3	]	]	PUNCT
ejpam-1175	21	4	initiated	initiate	VERB
ejpam-1175	21	5	the	the	DET
ejpam-1175	21	6	work	work	NOUN
ejpam-1175	21	7	on	on	ADP
ejpam-1175	21	8	boundary	boundary	ADJ
ejpam-1175	21	9	value	value	NOUN
ejpam-1175	21	10	problems	problem	NOUN
ejpam-1175	21	11	for	for	ADP
ejpam-1175	21	12	linear	linear	ADJ
ejpam-1175	21	13	partial	partial	ADJ
ejpam-1175	21	14	differential	differential	ADJ
ejpam-1175	21	15	mixed	mixed	ADJ
ejpam-1175	21	16	type	type	NOUN
ejpam-1175	21	17	equations	equation	NOUN
ejpam-1175	21	18	of	of	ADP
ejpam-1175	21	19	second	second	ADJ
ejpam-1175	21	20	order	order	NOUN
ejpam-1175	21	21	and	and	CCONJ
ejpam-1175	21	22	related	related	ADJ
ejpam-1175	21	23	equations	equation	NOUN
ejpam-1175	21	24	of	of	ADP
ejpam-1175	21	25	variable	variable	ADJ
ejpam-1175	21	26	type	type	NOUN
ejpam-1175	21	27	.	.	PUNCT
ejpam-1175	22	1	the	the	DET
ejpam-1175	22	2	well	well	ADV
ejpam-1175	22	3	-	-	PUNCT
ejpam-1175	22	4	known	know	VERB
ejpam-1175	22	5	mixed	mixed	ADJ
ejpam-1175	22	6	type	type	NOUN
ejpam-1175	22	7	partial	partial	ADJ
ejpam-1175	22	8	differential	differential	NOUN
ejpam-1175	22	9	equation	equation	NOUN
ejpam-1175	22	10	was	be	AUX
ejpam-1175	22	11	called	call	VERB
ejpam-1175	22	12	tricomi	tricomi	NOUN
ejpam-1175	22	13	equation	equation	NOUN
ejpam-1175	22	14	:	:	PUNCT
ejpam-1175	22	15	yux	yux	NOUN
ejpam-1175	22	16	x	x	INTJ
ejpam-1175	23	1	+	+	CCONJ
ejpam-1175	23	2	uy	uy	PROPN
ejpam-1175	23	3	y	y	NOUN
ejpam-1175	23	4	=	=	NOUN
ejpam-1175	23	5	0	0	PROPN
ejpam-1175	24	1	after	after	SCONJ
ejpam-1175	24	2	f.	f.	PROPN
ejpam-1175	24	3	g.	g.	PROPN
ejpam-1175	24	4	tricomi	tricomi	PROPN
ejpam-1175	24	5	,	,	PUNCT
ejpam-1175	24	6	who	who	PRON
ejpam-1175	24	7	introduced	introduce	VERB
ejpam-1175	24	8	this	this	DET
ejpam-1175	24	9	equation	equation	NOUN
ejpam-1175	24	10	,	,	PUNCT
ejpam-1175	24	11	for	for	ADP
ejpam-1175	24	12	functions	function	NOUN
ejpam-1175	24	13	u	u	NOUN
ejpam-1175	24	14	=	=	X
ejpam-1175	24	15	u(x	u(x	PROPN
ejpam-1175	24	16	,	,	PUNCT
ejpam-1175	24	17	y	y	NOUN
ejpam-1175	24	18	)	)	PUNCT
ejpam-1175	24	19	in	in	ADP
ejpam-1175	24	20	a	a	DET
ejpam-1175	24	21	real	real	ADJ
ejpam-1175	24	22	(	(	PUNCT
ejpam-1175	24	23	x	x	NOUN
ejpam-1175	24	24	,	,	PUNCT
ejpam-1175	24	25	y)−region	y)−region	PROPN
ejpam-1175	24	26	.	.	PUNCT
ejpam-1175	25	1	it	it	PRON
ejpam-1175	25	2	plays	play	VERB
ejpam-1175	25	3	a	a	DET
ejpam-1175	25	4	central	central	ADJ
ejpam-1175	25	5	role	role	NOUN
ejpam-1175	25	6	in	in	ADP
ejpam-1175	25	7	the	the	DET
ejpam-1175	25	8	mathematical	mathematical	ADJ
ejpam-1175	25	9	analysis	analysis	NOUN
ejpam-1175	25	10	of	of	ADP
ejpam-1175	25	11	the	the	DET
ejpam-1175	25	12	transonic	transonic	ADJ
ejpam-1175	25	13	flows	flow	NOUN
ejpam-1175	25	14	,	,	PUNCT
ejpam-1175	25	15	as	as	SCONJ
ejpam-1175	25	16	it	it	PRON
ejpam-1175	25	17	is	be	AUX
ejpam-1175	25	18	of	of	ADP
ejpam-1175	25	19	elliptic	elliptic	ADJ
ejpam-1175	25	20	and	and	CCONJ
ejpam-1175	25	21	hyperbolic	hyperbolic	ADJ
ejpam-1175	25	22	type	type	NOUN
ejpam-1175	25	23	where	where	SCONJ
ejpam-1175	25	24	the	the	DET
ejpam-1175	25	25	coefficient	coefficient	NOUN
ejpam-1175	25	26	y	y	PROPN
ejpam-1175	25	27	of	of	ADP
ejpam-1175	25	28	the	the	DET
ejpam-1175	25	29	second	second	ADJ
ejpam-1175	25	30	partial	partial	ADJ
ejpam-1175	25	31	derivative	derivative	NOUN
ejpam-1175	25	32	of	of	ADP
ejpam-1175	25	33	the	the	DET
ejpam-1175	25	34	involved	involved	ADJ
ejpam-1175	25	35	function	function	NOUN
ejpam-1175	25	36	u	u	PROPN
ejpam-1175	25	37	=	=	X
ejpam-1175	25	38	u(x	u(x	PROPN
ejpam-1175	25	39	,	,	PUNCT
ejpam-1175	25	40	y	y	NOUN
ejpam-1175	25	41	)	)	PUNCT
ejpam-1175	25	42	with	with	ADP
ejpam-1175	25	43	respect	respect	NOUN
ejpam-1175	25	44	to	to	ADP
ejpam-1175	25	45	x	x	PRON
ejpam-1175	25	46	,	,	PUNCT
ejpam-1175	25	47	changes	change	NOUN
ejpam-1175	25	48	sign	sign	NOUN
ejpam-1175	25	49	.	.	PUNCT
ejpam-1175	26	1	besides	besides	SCONJ
ejpam-1175	26	2	,	,	PUNCT
ejpam-1175	26	3	this	this	DET
ejpam-1175	26	4	equation	equation	NOUN
ejpam-1175	26	5	is	be	AUX
ejpam-1175	26	6	of	of	ADP
ejpam-1175	26	7	parabolic	parabolic	ADJ
ejpam-1175	26	8	type	type	NOUN
ejpam-1175	26	9	where	where	SCONJ
ejpam-1175	26	10	y	y	PROPN
ejpam-1175	26	11	vanishes	vanish	VERB
ejpam-1175	26	12	.	.	PUNCT
ejpam-1175	27	1	in	in	ADP
ejpam-1175	27	2	1945	1945	NUM
ejpam-1175	27	3	f.	f.	PROPN
ejpam-1175	27	4	i.	i.	PROPN
ejpam-1175	27	5	frankl	frankl	PROPN
ejpam-1175	28	1	[	[	X
ejpam-1175	28	2	3	3	X
ejpam-1175	28	3	]	]	PUNCT
ejpam-1175	28	4	drew	draw	VERB
ejpam-1175	28	5	attention	attention	NOUN
ejpam-1175	28	6	to	to	ADP
ejpam-1175	28	7	the	the	DET
ejpam-1175	28	8	fact	fact	NOUN
ejpam-1175	28	9	that	that	SCONJ
ejpam-1175	28	10	the	the	DET
ejpam-1175	28	11	tricomi	tricomi	NOUN
ejpam-1175	28	12	problem	problem	NOUN
ejpam-1175	28	13	was	be	AUX
ejpam-1175	28	14	closely	closely	ADV
ejpam-1175	28	15	connected	connect	VERB
ejpam-1175	28	16	to	to	ADP
ejpam-1175	28	17	the	the	DET
ejpam-1175	28	18	study	study	NOUN
ejpam-1175	28	19	of	of	ADP
ejpam-1175	28	20	gas	gas	NOUN
ejpam-1175	28	21	flow	flow	NOUN
ejpam-1175	28	22	with	with	ADP
ejpam-1175	28	23	nearly	nearly	ADV
ejpam-1175	28	24	sonic	sonic	ADJ
ejpam-1175	28	25	speeds	speed	NOUN
ejpam-1175	28	26	.	.	PUNCT
ejpam-1175	29	1	in	in	ADP
ejpam-1175	29	2	1953	1953	NUM
ejpam-1175	29	3	and	and	CCONJ
ejpam-1175	29	4	1955	1955	NUM
ejpam-1175	29	5	m.	m.	NOUN
ejpam-1175	29	6	h.	h.	PROPN
ejpam-1175	29	7	protter	protter	PROPN
ejpam-1175	30	1	[	[	X
ejpam-1175	30	2	7	7	NUM
ejpam-1175	30	3	]	]	X
ejpam-1175	30	4	generalized	generalize	VERB
ejpam-1175	30	5	and	and	CCONJ
ejpam-1175	30	6	improved	improve	VERB
ejpam-1175	30	7	the	the	DET
ejpam-1175	30	8	afore	afore	ADV
ejpam-1175	30	9	-	-	PUNCT
ejpam-1175	30	10	mentioned	mention	VERB
ejpam-1175	30	11	results	result	NOUN
ejpam-1175	30	12	in	in	ADP
ejpam-1175	30	13	the	the	DET
ejpam-1175	30	14	euclidean	euclidean	ADJ
ejpam-1175	30	15	plane	plane	NOUN
ejpam-1175	30	16	.	.	PUNCT
ejpam-1175	31	1	in	in	ADP
ejpam-1175	31	2	1977	1977	NUM
ejpam-1175	31	3	we	we	PRON
ejpam-1175	31	4	[	[	X
ejpam-1175	31	5	8	8	NUM
ejpam-1175	31	6	]	]	PUNCT
ejpam-1175	31	7	generalized	generalize	VERB
ejpam-1175	31	8	these	these	DET
ejpam-1175	31	9	results	result	NOUN
ejpam-1175	31	10	in	in	ADP
ejpam-1175	31	11	rn	rn	PROPN
ejpam-1175	31	12	(	(	PUNCT
ejpam-1175	31	13	n	n	X
ejpam-1175	31	14	>	>	X
ejpam-1175	31	15	2	2	NUM
ejpam-1175	31	16	)	)	PUNCT
ejpam-1175	31	17	.	.	PUNCT
ejpam-1175	32	1	in	in	ADP
ejpam-1175	32	2	1982	1982	NUM
ejpam-1175	32	3	we	we	PRON
ejpam-1175	32	4	[	[	X
ejpam-1175	32	5	9	9	NUM
ejpam-1175	32	6	]	]	PUNCT
ejpam-1175	32	7	established	establish	VERB
ejpam-1175	32	8	a	a	DET
ejpam-1175	32	9	maximum	maximum	ADJ
ejpam-1175	32	10	principle	principle	NOUN
ejpam-1175	32	11	of	of	ADP
ejpam-1175	32	12	the	the	DET
ejpam-1175	32	13	cauchy	cauchy	ADJ
ejpam-1175	32	14	problem	problem	NOUN
ejpam-1175	32	15	for	for	ADP
ejpam-1175	32	16	hyperbolic	hyperbolic	ADJ
ejpam-1175	32	17	equations	equation	NOUN
ejpam-1175	32	18	in	in	ADP
ejpam-1175	32	19	rn+1	rn+1	PROPN
ejpam-1175	32	20	(	(	PUNCT
ejpam-1175	32	21	n	n	CCONJ
ejpam-1175	32	22	≥	≥	NOUN
ejpam-1175	32	23	2	2	NUM
ejpam-1175	32	24	)	)	PUNCT
ejpam-1175	32	25	.	.	PUNCT
ejpam-1175	33	1	in	in	ADP
ejpam-1175	33	2	1983	1983	NUM
ejpam-1175	33	3	we	we	PRON
ejpam-1175	33	4	[	[	X
ejpam-1175	33	5	10	10	NUM
ejpam-1175	33	6	]	]	PUNCT
ejpam-1175	33	7	solved	solve	VERB
ejpam-1175	33	8	the	the	DET
ejpam-1175	33	9	tricomi	tricomi	NOUN
ejpam-1175	33	10	problem	problem	NOUN
ejpam-1175	33	11	with	with	ADP
ejpam-1175	33	12	two	two	NUM
ejpam-1175	33	13	parabolic	parabolic	ADJ
ejpam-1175	33	14	lines	line	NOUN
ejpam-1175	33	15	of	of	ADP
ejpam-1175	33	16	degeneracy	degeneracy	PROPN
ejpam-1175	33	17	and	and	CCONJ
ejpam-1175	33	18	,	,	PUNCT
ejpam-1175	33	19	in	in	ADP
ejpam-1175	33	20	1992	1992	NUM
ejpam-1175	33	21	,	,	PUNCT
ejpam-1175	33	22	we	we	PRON
ejpam-1175	33	23	[	[	X
ejpam-1175	33	24	12	12	NUM
ejpam-1175	33	25	]	]	PUNCT
ejpam-1175	33	26	established	establish	VERB
ejpam-1175	33	27	the	the	DET
ejpam-1175	33	28	well	well	NOUN
ejpam-1175	33	29	-	-	PUNCT
ejpam-1175	33	30	posedness	posedness	NOUN
ejpam-1175	33	31	of	of	ADP
ejpam-1175	33	32	the	the	DET
ejpam-1175	33	33	tricomi	tricomi	NOUN
ejpam-1175	33	34	problem	problem	NOUN
ejpam-1175	33	35	in	in	ADP
ejpam-1175	33	36	euclidean	euclidean	ADJ
ejpam-1175	33	37	regions	region	NOUN
ejpam-1175	33	38	.	.	PUNCT
ejpam-1175	34	1	interesting	interesting	ADJ
ejpam-1175	34	2	results	result	NOUN
ejpam-1175	34	3	for	for	ADP
ejpam-1175	34	4	the	the	DET
ejpam-1175	34	5	tricomi	tricomi	NOUN
ejpam-1175	34	6	problem	problem	NOUN
ejpam-1175	34	7	were	be	AUX
ejpam-1175	34	8	achieved	achieve	VERB
ejpam-1175	34	9	by	by	ADP
ejpam-1175	34	10	g.	g.	PROPN
ejpam-1175	34	11	baranchev	baranchev	PROPN
ejpam-1175	35	1	[	[	X
ejpam-1175	35	2	1	1	X
ejpam-1175	35	3	]	]	PUNCT
ejpam-1175	35	4	in	in	ADP
ejpam-1175	35	5	1986	1986	NUM
ejpam-1175	35	6	,	,	PUNCT
ejpam-1175	35	7	and	and	CCONJ
ejpam-1175	35	8	m.	m.	PROPN
ejpam-1175	35	9	kracht	kracht	PROPN
ejpam-1175	35	10	and	and	CCONJ
ejpam-1175	35	11	e.	e.	PROPN
ejpam-1175	35	12	kreyszig	kreyszig	PROPN
ejpam-1175	36	1	[	[	X
ejpam-1175	36	2	4	4	X
ejpam-1175	36	3	]	]	PUNCT
ejpam-1175	36	4	in	in	ADP
ejpam-1175	36	5	1986	1986	NUM
ejpam-1175	36	6	,	,	PUNCT
ejpam-1175	36	7	as	as	ADV
ejpam-1175	36	8	well	well	ADV
ejpam-1175	36	9	.	.	PUNCT
ejpam-1175	36	10	related	related	ADJ
ejpam-1175	36	11	information	information	NOUN
ejpam-1175	36	12	was	be	AUX
ejpam-1175	36	13	reported	report	VERB
ejpam-1175	36	14	by	by	ADP
ejpam-1175	36	15	g.	g.	PROPN
ejpam-1175	36	16	fichera	fichera	PROPN
ejpam-1175	37	1	[	[	X
ejpam-1175	37	2	2	2	X
ejpam-1175	37	3	]	]	PUNCT
ejpam-1175	37	4	in	in	ADP
ejpam-1175	37	5	1985	1985	NUM
ejpam-1175	37	6	,	,	PUNCT
ejpam-1175	37	7	and	and	CCONJ
ejpam-1175	37	8	e.	e.	PROPN
ejpam-1175	37	9	kreyszig	kreyszig	PROPN
ejpam-1175	38	1	[	[	X
ejpam-1175	38	2	5	5	NUM
ejpam-1175	38	3	-	-	SYM
ejpam-1175	38	4	6	6	NUM
ejpam-1175	38	5	]	]	PUNCT
ejpam-1175	38	6	in	in	ADP
ejpam-1175	38	7	1989	1989	NUM
ejpam-1175	38	8	and	and	CCONJ
ejpam-1175	38	9	1994	1994	NUM
ejpam-1175	38	10	.	.	PUNCT
ejpam-1175	39	1	our	our	PRON
ejpam-1175	39	2	[	[	X
ejpam-1175	39	3	11,14	11,14	NUM
ejpam-1175	39	4	-	-	SYM
ejpam-1175	39	5	15	15	NUM
ejpam-1175	39	6	]	]	PUNCT
ejpam-1175	39	7	work	work	NOUN
ejpam-1175	39	8	,	,	PUNCT
ejpam-1175	39	9	in	in	ADP
ejpam-1175	39	10	1990	1990	NUM
ejpam-1175	39	11	and	and	CCONJ
ejpam-1175	39	12	1999	1999	NUM
ejpam-1175	39	13	,	,	PUNCT
ejpam-1175	39	14	was	be	AUX
ejpam-1175	39	15	in	in	ADP
ejpam-1175	39	16	analogous	analogous	ADJ
ejpam-1175	39	17	areas	area	NOUN
ejpam-1175	39	18	of	of	ADP
ejpam-1175	39	19	mixed	mixed	ADJ
ejpam-1175	39	20	type	type	NOUN
ejpam-1175	39	21	equations	equation	NOUN
ejpam-1175	39	22	.	.	PUNCT
ejpam-1175	40	1	in	in	ADP
ejpam-1175	40	2	1990	1990	NUM
ejpam-1175	40	3	-	-	SYM
ejpam-1175	40	4	2009	2009	NUM
ejpam-1175	40	5	,	,	PUNCT
ejpam-1175	40	6	g.	g.	PROPN
ejpam-1175	40	7	c.	c.	PROPN
ejpam-1175	40	8	wen	wen	PROPN
ejpam-1175	40	9	et	et	PROPN
ejpam-1175	40	10	al	al	PROPN
ejpam-1175	40	11	.	.	PUNCT
ejpam-1175	41	1	[	[	X
ejpam-1175	41	2	17,20	17,20	NUM
ejpam-1175	41	3	-	-	SYM
ejpam-1175	41	4	28	28	NUM
ejpam-1175	41	5	]	]	PUNCT
ejpam-1175	41	6	have	have	AUX
ejpam-1175	41	7	applied	apply	VERB
ejpam-1175	41	8	the	the	DET
ejpam-1175	41	9	complex	complex	ADJ
ejpam-1175	41	10	analytic	analytic	ADJ
ejpam-1175	41	11	method	method	NOUN
ejpam-1175	41	12	and	and	CCONJ
ejpam-1175	41	13	achieved	achieve	VERB
ejpam-1175	41	14	fundamental	fundamental	ADJ
ejpam-1175	41	15	uniqueness	uniqueness	NOUN
ejpam-1175	41	16	and	and	CCONJ
ejpam-1175	41	17	existence	existence	NOUN
ejpam-1175	41	18	results	result	NOUN
ejpam-1175	41	19	for	for	ADP
ejpam-1175	41	20	solutions	solution	NOUN
ejpam-1175	41	21	of	of	ADP
ejpam-1175	41	22	the	the	DET
ejpam-1175	41	23	tricomi	tricomi	NOUN
ejpam-1175	41	24	and	and	CCONJ
ejpam-1175	41	25	frankl	frankl	PROPN
ejpam-1175	41	26	problems	problem	NOUN
ejpam-1175	41	27	for	for	ADP
ejpam-1175	41	28	classical	classical	ADJ
ejpam-1175	41	29	mixed	mixed	ADJ
ejpam-1175	41	30	type	type	NOUN
ejpam-1175	41	31	partial	partial	ADJ
ejpam-1175	41	32	differential	differential	NOUN
ejpam-1175	41	33	equations	equation	NOUN
ejpam-1175	41	34	with	with	ADP
ejpam-1175	41	35	boundary	boundary	ADJ
ejpam-1175	41	36	conditions	condition	NOUN
ejpam-1175	41	37	.	.	PUNCT
ejpam-1175	42	1	in	in	ADP
ejpam-1175	42	2	1993	1993	NUM
ejpam-1175	42	3	r.i	r.i	PROPN
ejpam-1175	42	4	.	.	PROPN
ejpam-1175	42	5	semerdjieva	semerdjieva	PROPN
ejpam-1175	43	1	[	[	X
ejpam-1175	43	2	18	18	NUM
ejpam-1175	43	3	]	]	PUNCT
ejpam-1175	43	4	introduced	introduce	VERB
ejpam-1175	43	5	the	the	DET
ejpam-1175	43	6	hyperbolic	hyperbolic	ADJ
ejpam-1175	43	7	equation	equation	NOUN
ejpam-1175	43	8	k1(y)ux	k1(y)ux	NOUN
ejpam-1175	43	9	x	x	PUNCT
ejpam-1175	44	1	+	+	CCONJ
ejpam-1175	44	2	(	(	PUNCT
ejpam-1175	44	3	k2(y)uy)y	k2(y)uy)y	X
ejpam-1175	44	4	+	+	PROPN
ejpam-1175	44	5	ru	ru	PROPN
ejpam-1175	44	6	=	=	SYM
ejpam-1175	44	7	f	f	PROPN
ejpam-1175	44	8	in	in	ADP
ejpam-1175	44	9	the	the	DET
ejpam-1175	44	10	lower	low	ADJ
ejpam-1175	44	11	half	half	ADJ
ejpam-1175	44	12	-	-	PUNCT
ejpam-1175	44	13	plane	plane	NOUN
ejpam-1175	44	14	.	.	PUNCT
ejpam-1175	45	1	in	in	ADP
ejpam-1175	45	2	1997	1997	NUM
ejpam-1175	45	3	we	we	PRON
ejpam-1175	45	4	[	[	X
ejpam-1175	45	5	13	13	NUM
ejpam-1175	45	6	]	]	PUNCT
ejpam-1175	45	7	considered	consider	VERB
ejpam-1175	45	8	the	the	DET
ejpam-1175	45	9	more	more	ADV
ejpam-1175	45	10	general	general	ADJ
ejpam-1175	45	11	case	case	NOUN
ejpam-1175	45	12	of	of	ADP
ejpam-1175	45	13	the	the	DET
ejpam-1175	45	14	above	above	ADJ
ejpam-1175	45	15	hyperbolic	hyperbolic	ADJ
ejpam-1175	45	16	equation	equation	NOUN
ejpam-1175	45	17	,	,	PUNCT
ejpam-1175	45	18	so	so	SCONJ
ejpam-1175	45	19	that	that	SCONJ
ejpam-1175	45	20	it	it	PRON
ejpam-1175	45	21	was	be	AUX
ejpam-1175	45	22	elliptic	elliptic	ADJ
ejpam-1175	45	23	in	in	ADP
ejpam-1175	45	24	the	the	DET
ejpam-1175	45	25	upper	upper	ADJ
ejpam-1175	45	26	halfplane	halfplane	NOUN
ejpam-1175	45	27	and	and	CCONJ
ejpam-1175	45	28	parabolic	parabolic	VERB
ejpam-1175	45	29	on	on	ADP
ejpam-1175	45	30	the	the	DET
ejpam-1175	45	31	line	line	NOUN
ejpam-1175	45	32	y	y	PROPN
ejpam-1175	45	33	=	=	NOUN
ejpam-1175	45	34	0	0	PROPN
ejpam-1175	45	35	.	.	PUNCT
ejpam-1175	46	1	in	in	ADP
ejpam-1175	46	2	2002	2002	NUM
ejpam-1175	46	3	,	,	PUNCT
ejpam-1175	46	4	we	we	PRON
ejpam-1175	46	5	[	[	X
ejpam-1175	46	6	16	16	NUM
ejpam-1175	46	7	]	]	PUNCT
ejpam-1175	46	8	considered	consider	VERB
ejpam-1175	46	9	the	the	DET
ejpam-1175	46	10	more	more	ADV
ejpam-1175	46	11	general	general	ADJ
ejpam-1175	46	12	tricomi	tricomi	NOUN
ejpam-1175	46	13	problem	problem	NOUN
ejpam-1175	46	14	with	with	ADP
ejpam-1175	46	15	partial	partial	ADJ
ejpam-1175	46	16	differential	differential	NOUN
ejpam-1175	46	17	equation	equation	NOUN
ejpam-1175	46	18	the	the	DET
ejpam-1175	46	19	new	new	ADJ
ejpam-1175	46	20	bi	bi	ADJ
ejpam-1175	46	21	-	-	ADJ
ejpam-1175	46	22	parabolic	parabolic	ADJ
ejpam-1175	46	23	elliptic	elliptic	ADJ
ejpam-1175	46	24	bi	bi	ADJ
ejpam-1175	46	25	-	-	ADJ
ejpam-1175	46	26	hyperbolic	hyperbolic	ADJ
ejpam-1175	46	27	equation	equation	NOUN
ejpam-1175	46	28	lu	lu	PROPN
ejpam-1175	46	29	≡	≡	PROPN
ejpam-1175	46	30	k1(y)(m2(x)ux)x	k1(y)(m2(x)ux)x	X
ejpam-1175	47	1	+	+	PUNCT
ejpam-1175	47	2	m1(x)(k2(y)uy)y	m1(x)(k2(y)uy)y	PROPN
ejpam-1175	47	3	+	+	X
ejpam-1175	47	4	r(x	r(x	PROPN
ejpam-1175	47	5	,	,	PUNCT
ejpam-1175	47	6	y)u=	y)u=	PROPN
ejpam-1175	47	7	f	f	PROPN
ejpam-1175	47	8	(	(	PUNCT
ejpam-1175	47	9	x	x	PROPN
ejpam-1175	47	10	,	,	PUNCT
ejpam-1175	47	11	y	y	PROPN
ejpam-1175	47	12	)	)	PUNCT
ejpam-1175	47	13	,	,	PUNCT
ejpam-1175	47	14	(	(	PUNCT
ejpam-1175	47	15	1	1	X
ejpam-1175	47	16	)	)	PUNCT
ejpam-1175	47	17	which	which	PRON
ejpam-1175	47	18	is	be	AUX
ejpam-1175	47	19	parabolic	parabolic	ADJ
ejpam-1175	47	20	on	on	ADP
ejpam-1175	47	21	both	both	DET
ejpam-1175	47	22	segments	segment	NOUN
ejpam-1175	47	23	x	x	X
ejpam-1175	47	24	=	=	SYM
ejpam-1175	47	25	0	0	NUM
ejpam-1175	47	26	,	,	PUNCT
ejpam-1175	47	27	0	0	PUNCT
ejpam-1175	47	28	<	<	X
ejpam-1175	47	29	y	y	PROPN
ejpam-1175	47	30	≤	≤	PROPN
ejpam-1175	47	31	1	1	NUM
ejpam-1175	47	32	;	;	PUNCT
ejpam-1175	47	33	y	y	PROPN
ejpam-1175	47	34	=	=	SYM
ejpam-1175	47	35	0	0	NUM
ejpam-1175	47	36	,	,	PUNCT
ejpam-1175	47	37	0	0	NUM
ejpam-1175	47	38	<	<	X
ejpam-1175	47	39	x	x	SYM
ejpam-1175	47	40	≤	≤	NUM
ejpam-1175	47	41	1	1	NUM
ejpam-1175	47	42	,	,	PUNCT
ejpam-1175	47	43	elliptic	elliptic	ADJ
ejpam-1175	47	44	in	in	ADP
ejpam-1175	47	45	the	the	DET
ejpam-1175	47	46	euclidean	euclidean	ADJ
ejpam-1175	47	47	region	region	NOUN
ejpam-1175	47	48	ge	ge	PROPN
ejpam-1175	48	1	=	=	PRON
ejpam-1175	48	2	{	{	PUNCT
ejpam-1175	48	3	(	(	PUNCT
ejpam-1175	48	4	x	x	INTJ
ejpam-1175	48	5	,	,	PUNCT
ejpam-1175	48	6	y	y	PROPN
ejpam-1175	48	7	)	)	PUNCT
ejpam-1175	48	8	∈	∈	PROPN
ejpam-1175	48	9	g(⊂	g(⊂	PROPN
ejpam-1175	48	10	r2	r2	PROPN
ejpam-1175	48	11	)	)	PUNCT
ejpam-1175	48	12	:	:	PUNCT
ejpam-1175	49	1	x	x	X
ejpam-1175	49	2	>	>	X
ejpam-1175	49	3	0	0	PROPN
ejpam-1175	49	4	,	,	PUNCT
ejpam-1175	49	5	y	y	PROPN
ejpam-1175	49	6	>	>	X
ejpam-1175	49	7	0	0	NUM
ejpam-1175	49	8	}	}	PUNCT
ejpam-1175	49	9	and	and	CCONJ
ejpam-1175	49	10	hyperbolic	hyperbolic	ADJ
ejpam-1175	49	11	in	in	ADP
ejpam-1175	49	12	both	both	DET
ejpam-1175	49	13	regions	region	NOUN
ejpam-1175	49	14	gh1	gh1	NOUN
ejpam-1175	49	15	=	=	SYM
ejpam-1175	49	16	{	{	PUNCT
ejpam-1175	49	17	(	(	PUNCT
ejpam-1175	49	18	x	x	INTJ
ejpam-1175	49	19	,	,	PUNCT
ejpam-1175	49	20	y	y	PROPN
ejpam-1175	49	21	)	)	PUNCT
ejpam-1175	49	22	∈	∈	PROPN
ejpam-1175	49	23	g(⊂	g(⊂	PROPN
ejpam-1175	49	24	r2	r2	PROPN
ejpam-1175	49	25	)	)	PUNCT
ejpam-1175	49	26	:	:	PUNCT
ejpam-1175	50	1	x	x	X
ejpam-1175	50	2	>	>	X
ejpam-1175	50	3	0	0	PROPN
ejpam-1175	50	4	,	,	PUNCT
ejpam-1175	50	5	y	y	PROPN
ejpam-1175	50	6	<	<	X
ejpam-1175	50	7	0	0	NUM
ejpam-1175	50	8	}	}	PUNCT
ejpam-1175	50	9	;	;	PUNCT
ejpam-1175	50	10	gh2	gh2	X
ejpam-1175	50	11	=	=	PRON
ejpam-1175	50	12	{	{	PUNCT
ejpam-1175	50	13	(	(	PUNCT
ejpam-1175	50	14	x	x	INTJ
ejpam-1175	50	15	,	,	PUNCT
ejpam-1175	50	16	y	y	PROPN
ejpam-1175	50	17	)	)	PUNCT
ejpam-1175	50	18	∈	∈	PROPN
ejpam-1175	50	19	g(⊂	g(⊂	PROPN
ejpam-1175	50	20	r2	r2	PROPN
ejpam-1175	50	21	)	)	PUNCT
ejpam-1175	50	22	:	:	PUNCT
ejpam-1175	51	1	x	x	SYM
ejpam-1175	51	2	<	<	X
ejpam-1175	51	3	0	0	PROPN
ejpam-1175	51	4	,	,	PUNCT
ejpam-1175	51	5	y	y	PROPN
ejpam-1175	51	6	>	>	X
ejpam-1175	51	7	0	0	NUM
ejpam-1175	51	8	}	}	PUNCT
ejpam-1175	51	9	,	,	PUNCT
ejpam-1175	51	10	with	with	ADP
ejpam-1175	51	11	g	g	PROPN
ejpam-1175	51	12	the	the	DET
ejpam-1175	51	13	mixed	mixed	ADJ
ejpam-1175	51	14	domain	domain	NOUN
ejpam-1175	51	15	of	of	ADP
ejpam-1175	51	16	(	(	PUNCT
ejpam-1175	51	17	1	1	NUM
ejpam-1175	51	18	)	)	PUNCT
ejpam-1175	51	19	.	.	PUNCT
ejpam-1175	52	1	in	in	ADP
ejpam-1175	52	2	1999	1999	NUM
ejpam-1175	52	3	we	we	PRON
ejpam-1175	52	4	[	[	X
ejpam-1175	52	5	15	15	NUM
ejpam-1175	52	6	]	]	SYM
ejpam-1175	52	7	proved	prove	VERB
ejpam-1175	52	8	existence	existence	NOUN
ejpam-1175	52	9	of	of	ADP
ejpam-1175	52	10	weak	weak	ADJ
ejpam-1175	52	11	solutions	solution	NOUN
ejpam-1175	52	12	for	for	ADP
ejpam-1175	52	13	a	a	DET
ejpam-1175	52	14	particular	particular	ADJ
ejpam-1175	52	15	tricomi	tricomi	NOUN
ejpam-1175	52	16	problem	problem	NOUN
ejpam-1175	52	17	.	.	PUNCT
ejpam-1175	53	1	then	then	ADV
ejpam-1175	53	2	we	we	PRON
ejpam-1175	53	3	established	establish	VERB
ejpam-1175	53	4	uniqueness	uniqueness	NOUN
ejpam-1175	53	5	of	of	ADP
ejpam-1175	53	6	quasi	quasi	ADJ
ejpam-1175	53	7	-	-	ADJ
ejpam-1175	53	8	regular	regular	ADJ
ejpam-1175	53	9	solutions	solution	NOUN
ejpam-1175	53	10	[	[	X
ejpam-1175	53	11	8,10	8,10	NUM
ejpam-1175	53	12	-	-	SYM
ejpam-1175	53	13	13,16	13,16	NUM
ejpam-1175	53	14	]	]	PUNCT
ejpam-1175	53	15	for	for	ADP
ejpam-1175	53	16	the	the	DET
ejpam-1175	53	17	tricomi	tricomi	NOUN
ejpam-1175	53	18	problem	problem	NOUN
ejpam-1175	53	19	.	.	PUNCT
ejpam-1175	54	1	however	however	ADV
ejpam-1175	54	2	,	,	PUNCT
ejpam-1175	54	3	the	the	DET
ejpam-1175	54	4	question	question	NOUN
ejpam-1175	54	5	about	about	ADP
ejpam-1175	54	6	the	the	DET
ejpam-1175	54	7	uniqueness	uniqueness	NOUN
ejpam-1175	54	8	of	of	ADP
ejpam-1175	54	9	quasi	quasi	ADJ
ejpam-1175	54	10	-	-	ADJ
ejpam-1175	54	11	regular	regular	ADJ
ejpam-1175	54	12	solutions	solution	NOUN
ejpam-1175	54	13	and	and	CCONJ
ejpam-1175	54	14	the	the	DET
ejpam-1175	54	15	existence	existence	NOUN
ejpam-1175	54	16	of	of	ADP
ejpam-1175	54	17	weak	weak	ADJ
ejpam-1175	54	18	solutions	solution	NOUN
ejpam-1175	54	19	for	for	ADP
ejpam-1175	54	20	the	the	DET
ejpam-1175	54	21	tricomi	tricomi	NOUN
ejpam-1175	54	22	and	and	CCONJ
ejpam-1175	54	23	frankl	frankl	PROPN
ejpam-1175	54	24	problems	problem	NOUN
ejpam-1175	54	25	associated	associate	VERB
ejpam-1175	54	26	to	to	ADP
ejpam-1175	54	27	the	the	DET
ejpam-1175	54	28	said	say	VERB
ejpam-1175	54	29	mixed	mixed	ADJ
ejpam-1175	54	30	type	type	NOUN
ejpam-1175	54	31	equation	equation	NOUN
ejpam-1175	54	32	(	(	PUNCT
ejpam-1175	54	33	1	1	NUM
ejpam-1175	54	34	)	)	PUNCT
ejpam-1175	54	35	for	for	ADP
ejpam-1175	54	36	even	even	ADV
ejpam-1175	54	37	more	more	ADV
ejpam-1175	54	38	general	general	ADJ
ejpam-1175	54	39	doubly	doubly	ADV
ejpam-1175	54	40	connected	connected	ADJ
ejpam-1175	54	41	mixed	mixed	ADJ
ejpam-1175	54	42	domain	domain	NOUN
ejpam-1175	54	43	is	be	AUX
ejpam-1175	54	44	still	still	ADV
ejpam-1175	54	45	open	open	ADJ
ejpam-1175	54	46	.	.	PUNCT
ejpam-1175	55	1	in	in	ADP
ejpam-1175	55	2	particular	particular	ADJ
ejpam-1175	55	3	via	via	ADP
ejpam-1175	55	4	this	this	DET
ejpam-1175	55	5	paper	paper	NOUN
ejpam-1175	55	6	we	we	PRON
ejpam-1175	55	7	propose	propose	VERB
ejpam-1175	55	8	and	and	CCONJ
ejpam-1175	55	9	investigate	investigate	VERB
ejpam-1175	55	10	the	the	DET
ejpam-1175	55	11	exterior	exterior	ADJ
ejpam-1175	55	12	tricomi	tricomi	NOUN
ejpam-1175	55	13	and	and	CCONJ
ejpam-1175	55	14	frankl	frankl	PROPN
ejpam-1175	55	15	problems	problem	NOUN
ejpam-1175	55	16	for	for	ADP
ejpam-1175	55	17	quaterelliptic	quaterelliptic	ADJ
ejpam-1175	55	18	and	and	CCONJ
ejpam-1175	55	19	quaterhyperbolic	quaterhyperbolic	ADJ
ejpam-1175	55	20	equations	equation	NOUN
ejpam-1175	55	21	with	with	ADP
ejpam-1175	55	22	eight	eight	NUM
ejpam-1175	55	23	parabolic	parabolic	ADJ
ejpam-1175	55	24	lines	line	NOUN
ejpam-1175	55	25	of	of	ADP
ejpam-1175	55	26	degeneracy	degeneracy	NOUN
ejpam-1175	55	27	and	and	CCONJ
ejpam-1175	55	28	establish	establish	VERB
ejpam-1175	55	29	uniqueness	uniqueness	NOUN
ejpam-1175	55	30	of	of	ADP
ejpam-1175	55	31	quasi	quasi	ADJ
ejpam-1175	55	32	-	-	ADJ
ejpam-1175	55	33	regular	regular	ADJ
ejpam-1175	55	34	solutions	solution	NOUN
ejpam-1175	55	35	.	.	PUNCT
ejpam-1175	56	1	also	also	ADV
ejpam-1175	56	2	we	we	PRON
ejpam-1175	56	3	propose	propose	VERB
ejpam-1175	56	4	new	new	ADJ
ejpam-1175	56	5	open	open	ADJ
ejpam-1175	56	6	problems	problem	NOUN
ejpam-1175	56	7	.	.	PUNCT
ejpam-1175	57	1	j.	j.	PROPN
ejpam-1175	57	2	rassias	rassias	PROPN
ejpam-1175	57	3	/	/	SYM
ejpam-1175	57	4	eur	eur	PROPN
ejpam-1175	57	5	.	.	PUNCT
ejpam-1175	58	1	j.	j.	PROPN
ejpam-1175	58	2	pure	pure	PROPN
ejpam-1175	58	3	appl	appl	PROPN
ejpam-1175	58	4	.	.	PROPN
ejpam-1175	58	5	math	math	PROPN
ejpam-1175	58	6	,	,	PUNCT
ejpam-1175	58	7	4	4	NUM
ejpam-1175	58	8	(	(	PUNCT
ejpam-1175	58	9	2011	2011	NUM
ejpam-1175	58	10	)	)	PUNCT
ejpam-1175	58	11	,	,	PUNCT
ejpam-1175	58	12	186	186	NUM
ejpam-1175	58	13	-	-	SYM
ejpam-1175	58	14	208	208	NUM
ejpam-1175	58	15	188	188	NUM
ejpam-1175	58	16	these	these	DET
ejpam-1175	58	17	results	result	NOUN
ejpam-1175	58	18	are	be	AUX
ejpam-1175	58	19	interesting	interesting	ADJ
ejpam-1175	58	20	in	in	ADP
ejpam-1175	58	21	aerodynamics	aerodynamic	NOUN
ejpam-1175	58	22	and	and	CCONJ
ejpam-1175	58	23	hydrodynamics	hydrodynamic	NOUN
ejpam-1175	58	24	.	.	PUNCT
ejpam-1175	59	1	the	the	DET
ejpam-1175	59	2	mixed	mixed	ADJ
ejpam-1175	59	3	type	type	NOUN
ejpam-1175	59	4	partial	partial	ADJ
ejpam-1175	59	5	differential	differential	NOUN
ejpam-1175	59	6	equations	equation	NOUN
ejpam-1175	59	7	are	be	AUX
ejpam-1175	59	8	encountered	encounter	VERB
ejpam-1175	59	9	in	in	ADP
ejpam-1175	59	10	the	the	DET
ejpam-1175	59	11	theory	theory	NOUN
ejpam-1175	59	12	of	of	ADP
ejpam-1175	59	13	transonic	transonic	ADJ
ejpam-1175	59	14	flow	flow	NOUN
ejpam-1175	59	15	and	and	CCONJ
ejpam-1175	59	16	they	they	PRON
ejpam-1175	59	17	give	give	VERB
ejpam-1175	59	18	rise	rise	NOUN
ejpam-1175	59	19	to	to	ADP
ejpam-1175	59	20	special	special	ADJ
ejpam-1175	59	21	boundary	boundary	ADJ
ejpam-1175	59	22	value	value	NOUN
ejpam-1175	59	23	problems	problem	NOUN
ejpam-1175	59	24	,	,	PUNCT
ejpam-1175	59	25	called	call	VERB
ejpam-1175	59	26	the	the	DET
ejpam-1175	59	27	tricomi	tricomi	NOUN
ejpam-1175	59	28	and	and	CCONJ
ejpam-1175	59	29	frankl	frankl	PROPN
ejpam-1175	59	30	problems	problem	NOUN
ejpam-1175	59	31	.	.	PUNCT
ejpam-1175	60	1	the	the	DET
ejpam-1175	60	2	transonic	transonic	ADJ
ejpam-1175	60	3	flows	flow	NOUN
ejpam-1175	60	4	involve	involve	VERB
ejpam-1175	60	5	a	a	DET
ejpam-1175	60	6	transition	transition	NOUN
ejpam-1175	60	7	from	from	ADP
ejpam-1175	60	8	the	the	DET
ejpam-1175	60	9	subsonic	subsonic	NOUN
ejpam-1175	60	10	to	to	ADP
ejpam-1175	60	11	the	the	DET
ejpam-1175	60	12	supersonic	supersonic	ADJ
ejpam-1175	60	13	region	region	NOUN
ejpam-1175	60	14	through	through	ADP
ejpam-1175	60	15	the	the	DET
ejpam-1175	60	16	sonic	sonic	ADJ
ejpam-1175	60	17	.	.	PUNCT
ejpam-1175	61	1	definition	definition	NOUN
ejpam-1175	61	2	1	1	NUM
ejpam-1175	61	3	.	.	PUNCT
ejpam-1175	62	1	the	the	DET
ejpam-1175	62	2	tricomi	tricomi	NOUN
ejpam-1175	62	3	problem	problem	NOUN
ejpam-1175	62	4	or	or	CCONJ
ejpam-1175	62	5	problem	problem	NOUN
ejpam-1175	62	6	t	t	PROPN
ejpam-1175	62	7	consists	consist	VERB
ejpam-1175	62	8	of	of	ADP
ejpam-1175	62	9	finding	find	VERB
ejpam-1175	62	10	a	a	DET
ejpam-1175	62	11	function	function	NOUN
ejpam-1175	62	12	u	u	NOUN
ejpam-1175	62	13	which	which	PRON
ejpam-1175	62	14	satisfies	satisfy	VERB
ejpam-1175	62	15	the	the	DET
ejpam-1175	62	16	afore	afore	ADV
ejpam-1175	62	17	-	-	PUNCT
ejpam-1175	62	18	mentioned	mention	VERB
ejpam-1175	62	19	tricomi	tricomi	NOUN
ejpam-1175	62	20	equation	equation	NOUN
ejpam-1175	62	21	in	in	ADP
ejpam-1175	62	22	a	a	DET
ejpam-1175	62	23	mixed	mixed	ADJ
ejpam-1175	62	24	domain	domain	NOUN
ejpam-1175	62	25	d	d	NOUN
ejpam-1175	62	26	:	:	PUNCT
ejpam-1175	62	27	a	a	DET
ejpam-1175	62	28	simply	simply	ADV
ejpam-1175	62	29	connected	connect	VERB
ejpam-1175	62	30	and	and	CCONJ
ejpam-1175	62	31	bounded	bound	VERB
ejpam-1175	62	32	(	(	PUNCT
ejpam-1175	62	33	x	x	X
ejpam-1175	62	34	,	,	PUNCT
ejpam-1175	62	35	y)−	y)−	PROPN
ejpam-1175	62	36	region	region	NOUN
ejpam-1175	62	37	by	by	ADP
ejpam-1175	62	38	a	a	DET
ejpam-1175	62	39	rectifiable	rectifiable	ADJ
ejpam-1175	62	40	jordan	jordan	PROPN
ejpam-1175	62	41	(	(	PUNCT
ejpam-1175	62	42	non	non	ADJ
ejpam-1175	62	43	-	-	ADJ
ejpam-1175	62	44	self	self	NOUN
ejpam-1175	62	45	-	-	PUNCT
ejpam-1175	62	46	intersecting	intersecting	ADJ
ejpam-1175	62	47	)	)	PUNCT
ejpam-1175	62	48	elliptic	elliptic	ADJ
ejpam-1175	62	49	arc	arc	NOUN
ejpam-1175	62	50	σ	σ	PROPN
ejpam-1175	62	51	(	(	PUNCT
ejpam-1175	62	52	for	for	ADP
ejpam-1175	62	53	y	y	PROPN
ejpam-1175	62	54	>	>	X
ejpam-1175	62	55	0	0	NUM
ejpam-1175	62	56	)	)	PUNCT
ejpam-1175	62	57	with	with	ADP
ejpam-1175	62	58	endpoints	endpoint	NOUN
ejpam-1175	62	59	o	o	X
ejpam-1175	62	60	=	=	PUNCT
ejpam-1175	62	61	(	(	PUNCT
ejpam-1175	62	62	0,0	0,0	NOUN
ejpam-1175	62	63	)	)	PUNCT
ejpam-1175	62	64	and	and	CCONJ
ejpam-1175	62	65	a=	a=	ADV
ejpam-1175	62	66	(	(	PUNCT
ejpam-1175	62	67	1,0	1,0	NUM
ejpam-1175	62	68	)	)	PUNCT
ejpam-1175	62	69	and	and	CCONJ
ejpam-1175	62	70	by	by	ADP
ejpam-1175	62	71	two	two	NUM
ejpam-1175	62	72	real	real	ADJ
ejpam-1175	62	73	hyperbolic	hyperbolic	ADJ
ejpam-1175	62	74	characteristics	characteristic	NOUN
ejpam-1175	62	75	γ	γ	PROPN
ejpam-1175	62	76	,	,	PUNCT
ejpam-1175	62	77	γ	γ	NOUN
ejpam-1175	62	78	of	of	ADP
ejpam-1175	62	79	the	the	DET
ejpam-1175	62	80	tricomi	tricomi	NOUN
ejpam-1175	62	81	equation	equation	NOUN
ejpam-1175	62	82	satisfying	satisfy	VERB
ejpam-1175	62	83	the	the	DET
ejpam-1175	62	84	pertinent	pertinent	ADJ
ejpam-1175	62	85	characteristic	characteristic	ADJ
ejpam-1175	62	86	equation	equation	NOUN
ejpam-1175	62	87	such	such	ADJ
ejpam-1175	62	88	that	that	SCONJ
ejpam-1175	62	89	these	these	DET
ejpam-1175	62	90	characteristics	characteristic	NOUN
ejpam-1175	62	91	γ	γ	PROPN
ejpam-1175	62	92	,	,	PUNCT
ejpam-1175	62	93	γ	γ	PROPN
ejpam-1175	62	94	meet	meet	VERB
ejpam-1175	62	95	at	at	ADP
ejpam-1175	62	96	a	a	DET
ejpam-1175	62	97	point	point	NOUN
ejpam-1175	62	98	p	p	NOUN
ejpam-1175	62	99	(	(	PUNCT
ejpam-1175	62	100	for	for	ADP
ejpam-1175	62	101	y	y	PROPN
ejpam-1175	62	102	<	<	X
ejpam-1175	62	103	0	0	NUM
ejpam-1175	62	104	)	)	PUNCT
ejpam-1175	62	105	with	with	ADP
ejpam-1175	62	106	γ	γ	X
ejpam-1175	62	107	emanating	emanate	VERB
ejpam-1175	62	108	from	from	ADP
ejpam-1175	62	109	a	a	PRON
ejpam-1175	62	110	and	and	CCONJ
ejpam-1175	62	111	γ	γ	NOUN
ejpam-1175	62	112	from	from	ADP
ejpam-1175	62	113	o	o	PROPN
ejpam-1175	62	114	,	,	PUNCT
ejpam-1175	62	115	γ	γ	X
ejpam-1175	62	116	:	:	PUNCT
ejpam-1175	62	117	x	x	SYM
ejpam-1175	62	118	+	+	NUM
ejpam-1175	62	119	2	2	NUM
ejpam-1175	62	120	3	3	NUM
ejpam-1175	62	121	(	(	PUNCT
ejpam-1175	62	122	−y)3/2	−y)3/2	NOUN
ejpam-1175	62	123	=	=	SYM
ejpam-1175	62	124	1	1	NUM
ejpam-1175	62	125	and	and	CCONJ
ejpam-1175	62	126	γ	γ	X
ejpam-1175	62	127	:	:	PUNCT
ejpam-1175	62	128	x	x	SYM
ejpam-1175	62	129	−	−	NOUN
ejpam-1175	62	130	2	2	NUM
ejpam-1175	62	131	3	3	NUM
ejpam-1175	62	132	(	(	PUNCT
ejpam-1175	62	133	−y)3/2	−y)3/2	NOUN
ejpam-1175	62	134	=	=	SYM
ejpam-1175	62	135	0	0	NUM
ejpam-1175	62	136	and	and	CCONJ
ejpam-1175	62	137	u	u	PRON
ejpam-1175	62	138	assumes	assume	VERB
ejpam-1175	62	139	prescribed	prescribe	VERB
ejpam-1175	62	140	continuous	continuous	ADJ
ejpam-1175	62	141	boundary	boundary	ADJ
ejpam-1175	62	142	values	value	NOUN
ejpam-1175	62	143	on	on	ADP
ejpam-1175	62	144	both	both	DET
ejpam-1175	62	145	arcs	arcs	X
ejpam-1175	62	146	σ	σ	PROPN
ejpam-1175	62	147	and	and	CCONJ
ejpam-1175	62	148	γ	γ	X
ejpam-1175	62	149	.	.	PUNCT
ejpam-1175	63	1	the	the	DET
ejpam-1175	63	2	portion	portion	NOUN
ejpam-1175	63	3	of	of	ADP
ejpam-1175	63	4	d	d	NOUN
ejpam-1175	63	5	lying	lie	VERB
ejpam-1175	63	6	in	in	ADP
ejpam-1175	63	7	the	the	DET
ejpam-1175	63	8	upper	upper	ADJ
ejpam-1175	63	9	half	half	ADJ
ejpam-1175	63	10	-	-	PUNCT
ejpam-1175	63	11	plane	plane	NOUN
ejpam-1175	63	12	,	,	PUNCT
ejpam-1175	63	13	above	above	ADP
ejpam-1175	63	14	the	the	DET
ejpam-1175	63	15	x	x	NOUN
ejpam-1175	63	16	-	-	NOUN
ejpam-1175	63	17	axis	axis	ADJ
ejpam-1175	63	18	,	,	PUNCT
ejpam-1175	63	19	is	be	AUX
ejpam-1175	63	20	the	the	DET
ejpam-1175	63	21	elliptic	elliptic	ADJ
ejpam-1175	63	22	region	region	NOUN
ejpam-1175	63	23	;	;	PUNCT
ejpam-1175	63	24	portion	portion	NOUN
ejpam-1175	63	25	of	of	ADP
ejpam-1175	63	26	d	d	NOUN
ejpam-1175	63	27	lying	lie	VERB
ejpam-1175	63	28	in	in	ADP
ejpam-1175	63	29	the	the	DET
ejpam-1175	63	30	lower	low	ADJ
ejpam-1175	63	31	half	half	ADJ
ejpam-1175	63	32	-	-	PUNCT
ejpam-1175	63	33	plane	plane	NOUN
ejpam-1175	63	34	,	,	PUNCT
ejpam-1175	63	35	below	below	ADP
ejpam-1175	63	36	the	the	DET
ejpam-1175	63	37	x	x	NOUN
ejpam-1175	63	38	-	-	NOUN
ejpam-1175	63	39	axis	axis	ADJ
ejpam-1175	63	40	,	,	PUNCT
ejpam-1175	63	41	is	be	AUX
ejpam-1175	63	42	the	the	DET
ejpam-1175	63	43	hyperolic	hyperolic	ADJ
ejpam-1175	63	44	region	region	NOUN
ejpam-1175	63	45	;	;	PUNCT
ejpam-1175	63	46	and	and	CCONJ
ejpam-1175	63	47	the	the	DET
ejpam-1175	63	48	segment	segment	NOUN
ejpam-1175	63	49	oa	oa	PROPN
ejpam-1175	63	50	is	be	AUX
ejpam-1175	63	51	parabolic	parabolic	ADJ
ejpam-1175	63	52	.	.	PUNCT
ejpam-1175	64	1	definition	definition	NOUN
ejpam-1175	64	2	2	2	NUM
ejpam-1175	64	3	.	.	PUNCT
ejpam-1175	65	1	a	a	DET
ejpam-1175	65	2	function	function	NOUN
ejpam-1175	65	3	u	u	NOUN
ejpam-1175	65	4	=	=	X
ejpam-1175	65	5	u(x	u(x	PROPN
ejpam-1175	65	6	,	,	PUNCT
ejpam-1175	65	7	y	y	PROPN
ejpam-1175	65	8	)	)	PUNCT
ejpam-1175	65	9	is	be	AUX
ejpam-1175	65	10	a	a	DET
ejpam-1175	65	11	regular	regular	ADJ
ejpam-1175	65	12	solution	solution	NOUN
ejpam-1175	65	13	of	of	ADP
ejpam-1175	65	14	problem	problem	NOUN
ejpam-1175	65	15	t	t	PROPN
ejpam-1175	65	16	in	in	ADP
ejpam-1175	65	17	the	the	DET
ejpam-1175	65	18	sense	sense	NOUN
ejpam-1175	65	19	of	of	ADP
ejpam-1175	65	20	f.	f.	PROPN
ejpam-1175	65	21	g.	g.	PROPN
ejpam-1175	65	22	tricomi	tricomi	PROPN
ejpam-1175	65	23	if	if	SCONJ
ejpam-1175	65	24	:	:	PUNCT
ejpam-1175	65	25	1	1	X
ejpam-1175	65	26	)	)	PUNCT
ejpam-1175	65	27	u	u	NOUN
ejpam-1175	65	28	is	be	AUX
ejpam-1175	65	29	continuous	continuous	ADJ
ejpam-1175	65	30	in	in	ADP
ejpam-1175	65	31	the	the	DET
ejpam-1175	65	32	closure	closure	NOUN
ejpam-1175	65	33	of	of	ADP
ejpam-1175	65	34	d	d	PROPN
ejpam-1175	65	35	which	which	PRON
ejpam-1175	65	36	is	be	AUX
ejpam-1175	65	37	the	the	DET
ejpam-1175	65	38	union	union	NOUN
ejpam-1175	65	39	of	of	ADP
ejpam-1175	65	40	d	d	PROPN
ejpam-1175	65	41	with	with	ADP
ejpam-1175	65	42	its	its	PRON
ejpam-1175	65	43	boundary	boundary	ADJ
ejpam-1175	65	44	consisting	consisting	NOUN
ejpam-1175	65	45	of	of	ADP
ejpam-1175	65	46	the	the	DET
ejpam-1175	65	47	three	three	NUM
ejpam-1175	65	48	curves	curve	NOUN
ejpam-1175	65	49	σ	σ	PROPN
ejpam-1175	65	50	,	,	PUNCT
ejpam-1175	65	51	γ	γ	PROPN
ejpam-1175	65	52	,	,	PUNCT
ejpam-1175	65	53	γ	γ	NOUN
ejpam-1175	65	54	;	;	PUNCT
ejpam-1175	65	55	2	2	X
ejpam-1175	65	56	)	)	PUNCT
ejpam-1175	65	57	the	the	DET
ejpam-1175	65	58	first	first	ADJ
ejpam-1175	65	59	order	order	NOUN
ejpam-1175	65	60	partial	partial	ADJ
ejpam-1175	65	61	derivatives	derivative	NOUN
ejpam-1175	65	62	of	of	ADP
ejpam-1175	65	63	u	u	NOUN
ejpam-1175	65	64	are	be	AUX
ejpam-1175	65	65	continuous	continuous	ADJ
ejpam-1175	65	66	in	in	ADP
ejpam-1175	65	67	the	the	DET
ejpam-1175	65	68	closure	closure	NOUN
ejpam-1175	65	69	of	of	ADP
ejpam-1175	65	70	d	d	PROPN
ejpam-1175	65	71	except	except	SCONJ
ejpam-1175	65	72	points	point	NOUN
ejpam-1175	65	73	o	o	PROPN
ejpam-1175	65	74	,	,	PUNCT
ejpam-1175	65	75	a	a	PRON
ejpam-1175	65	76	,	,	PUNCT
ejpam-1175	65	77	where	where	SCONJ
ejpam-1175	65	78	they	they	PRON
ejpam-1175	65	79	may	may	AUX
ejpam-1175	65	80	have	have	VERB
ejpam-1175	65	81	poles	pole	NOUN
ejpam-1175	65	82	of	of	ADP
ejpam-1175	65	83	order	order	NOUN
ejpam-1175	65	84	less	less	ADJ
ejpam-1175	65	85	than	than	ADP
ejpam-1175	65	86	2/3	2/3	NUM
ejpam-1175	65	87	;	;	PUNCT
ejpam-1175	65	88	3	3	X
ejpam-1175	65	89	)	)	PUNCT
ejpam-1175	65	90	the	the	DET
ejpam-1175	65	91	second	second	ADJ
ejpam-1175	65	92	order	order	NOUN
ejpam-1175	65	93	partial	partial	ADJ
ejpam-1175	65	94	derivatives	derivative	NOUN
ejpam-1175	65	95	of	of	ADP
ejpam-1175	65	96	u	u	NOUN
ejpam-1175	65	97	are	be	AUX
ejpam-1175	65	98	continuous	continuous	ADJ
ejpam-1175	65	99	in	in	ADP
ejpam-1175	65	100	d	d	PROPN
ejpam-1175	65	101	except	except	SCONJ
ejpam-1175	65	102	possibly	possibly	ADV
ejpam-1175	65	103	on	on	ADP
ejpam-1175	65	104	oa	oa	PRON
ejpam-1175	65	105	where	where	SCONJ
ejpam-1175	65	106	they	they	PRON
ejpam-1175	65	107	may	may	AUX
ejpam-1175	65	108	not	not	PART
ejpam-1175	65	109	exist	exist	VERB
ejpam-1175	65	110	;	;	PUNCT
ejpam-1175	65	111	4	4	X
ejpam-1175	65	112	)	)	PUNCT
ejpam-1175	65	113	u	u	NOUN
ejpam-1175	65	114	satisfies	satisfy	VERB
ejpam-1175	65	115	tricomi	tricomi	NOUN
ejpam-1175	65	116	equation	equation	NOUN
ejpam-1175	65	117	at	at	ADP
ejpam-1175	65	118	all	all	DET
ejpam-1175	65	119	points	point	NOUN
ejpam-1175	65	120	of	of	ADP
ejpam-1175	65	121	d	d	PROPN
ejpam-1175	65	122	except	except	SCONJ
ejpam-1175	65	123	oa	oa	NOUN
ejpam-1175	65	124	;	;	PUNCT
ejpam-1175	65	125	5	5	X
ejpam-1175	65	126	)	)	PUNCT
ejpam-1175	65	127	u	u	NOUN
ejpam-1175	65	128	assumes	assume	VERB
ejpam-1175	65	129	prescribed	prescribe	VERB
ejpam-1175	65	130	continuous	continuous	ADJ
ejpam-1175	65	131	boundary	boundary	ADJ
ejpam-1175	65	132	values	value	NOUN
ejpam-1175	65	133	on	on	ADP
ejpam-1175	65	134	both	both	DET
ejpam-1175	65	135	arcs	arcs	PROPN
ejpam-1175	65	136	σ	σ	PROPN
ejpam-1175	65	137	,	,	PUNCT
ejpam-1175	65	138	γ	γ	PROPN
ejpam-1175	65	139	.	.	PROPN
ejpam-1175	65	140	2	2	NUM
ejpam-1175	65	141	.	.	PUNCT
ejpam-1175	66	1	the	the	DET
ejpam-1175	66	2	exterior	exterior	ADJ
ejpam-1175	66	3	tricomi	tricomi	NOUN
ejpam-1175	66	4	problem	problem	NOUN
ejpam-1175	66	5	consider	consider	VERB
ejpam-1175	66	6	the	the	DET
ejpam-1175	66	7	quaterelliptic	quaterelliptic	ADJ
ejpam-1175	66	8	quaterhyperbolic	quaterhyperbolic	ADJ
ejpam-1175	66	9	equation	equation	NOUN
ejpam-1175	66	10	(	(	PUNCT
ejpam-1175	66	11	1	1	NUM
ejpam-1175	66	12	)	)	PUNCT
ejpam-1175	66	13	with	with	ADP
ejpam-1175	66	14	eight	eight	NUM
ejpam-1175	66	15	parabolic	parabolic	ADJ
ejpam-1175	66	16	lines	line	NOUN
ejpam-1175	66	17	of	of	ADP
ejpam-1175	66	18	degeneracy	degeneracy	NOUN
ejpam-1175	66	19	in	in	ADP
ejpam-1175	66	20	a	a	DET
ejpam-1175	66	21	bounded	bound	VERB
ejpam-1175	66	22	doubly	doubly	ADV
ejpam-1175	66	23	connected	connected	ADJ
ejpam-1175	66	24	mixed	mixed	ADJ
ejpam-1175	66	25	domain	domain	NOUN
ejpam-1175	66	26	d	d	NOUN
ejpam-1175	66	27	with	with	ADP
ejpam-1175	66	28	a	a	DET
ejpam-1175	66	29	piecewise	piecewise	NOUN
ejpam-1175	66	30	smooth	smooth	ADJ
ejpam-1175	66	31	boundary	boundary	ADJ
ejpam-1175	66	32	∂	∂	PROPN
ejpam-1175	66	33	d	d	NOUN
ejpam-1175	66	34	,	,	PUNCT
ejpam-1175	66	35	where	where	SCONJ
ejpam-1175	66	36	f	f	PROPN
ejpam-1175	66	37	=	=	SYM
ejpam-1175	66	38	f	f	PROPN
ejpam-1175	66	39	(	(	PUNCT
ejpam-1175	66	40	x	x	INTJ
ejpam-1175	66	41	,	,	PUNCT
ejpam-1175	66	42	y	y	PROPN
ejpam-1175	66	43	)	)	PUNCT
ejpam-1175	66	44	is	be	AUX
ejpam-1175	66	45	continuous	continuous	ADJ
ejpam-1175	66	46	in	in	ADP
ejpam-1175	66	47	d	d	PROPN
ejpam-1175	66	48	,	,	PUNCT
ejpam-1175	66	49	r	r	NOUN
ejpam-1175	66	50	=	=	SYM
ejpam-1175	66	51	r(x	r(x	PROPN
ejpam-1175	66	52	,	,	PUNCT
ejpam-1175	66	53	y	y	PROPN
ejpam-1175	66	54	)	)	PUNCT
ejpam-1175	66	55	is	be	AUX
ejpam-1175	66	56	once	once	ADV
ejpam-1175	66	57	-	-	PUNCT
ejpam-1175	66	58	continuously	continuously	ADV
ejpam-1175	66	59	differentiable	differentiable	VERB
ejpam-1175	66	60	in	in	ADP
ejpam-1175	66	61	d	d	PROPN
ejpam-1175	66	62	,	,	PUNCT
ejpam-1175	66	63	ki	ki	PROPN
ejpam-1175	66	64	=	=	PUNCT
ejpam-1175	66	65	ki(y	ki(y	PROPN
ejpam-1175	66	66	)	)	PUNCT
ejpam-1175	67	1	(	(	PUNCT
ejpam-1175	67	2	i	i	NOUN
ejpam-1175	67	3	=	=	SYM
ejpam-1175	67	4	1,2	1,2	NUM
ejpam-1175	67	5	)	)	PUNCT
ejpam-1175	67	6	are	be	AUX
ejpam-1175	67	7	once	once	ADV
ejpam-1175	67	8	-	-	PUNCT
ejpam-1175	67	9	continuously	continuously	ADV
ejpam-1175	67	10	differentiable	differentiable	ADJ
ejpam-1175	67	11	for	for	ADP
ejpam-1175	67	12	y	y	PROPN
ejpam-1175	67	13	∈	∈	PROPN
ejpam-1175	68	1	[	[	X
ejpam-1175	68	2	−k1	−k1	NOUN
ejpam-1175	68	3	,	,	PUNCT
ejpam-1175	68	4	k2	k2	PROPN
ejpam-1175	68	5	]	]	PUNCT
ejpam-1175	68	6	with	with	ADP
ejpam-1175	68	7	−k1	−k1	NOUN
ejpam-1175	68	8	=	=	PUNCT
ejpam-1175	68	9	in	in	ADP
ejpam-1175	68	10	f	f	PROPN
ejpam-1175	68	11	{	{	PUNCT
ejpam-1175	68	12	y	y	NOUN
ejpam-1175	68	13	:	:	PUNCT
ejpam-1175	68	14	(	(	PUNCT
ejpam-1175	68	15	x	x	X
ejpam-1175	68	16	,	,	PUNCT
ejpam-1175	68	17	y	y	PROPN
ejpam-1175	68	18	)	)	PUNCT
ejpam-1175	68	19	∈	∈	PROPN
ejpam-1175	69	1	d	d	NOUN
ejpam-1175	69	2	}	}	PUNCT
ejpam-1175	69	3	and	and	CCONJ
ejpam-1175	69	4	k2	k2	PROPN
ejpam-1175	69	5	=	=	PROPN
ejpam-1175	69	6	sup{y	sup{y	PROPN
ejpam-1175	69	7	:	:	PUNCT
ejpam-1175	69	8	(	(	PUNCT
ejpam-1175	69	9	x	x	X
ejpam-1175	69	10	,	,	PUNCT
ejpam-1175	69	11	y	y	PROPN
ejpam-1175	69	12	)	)	PUNCT
ejpam-1175	69	13	∈	∈	PROPN
ejpam-1175	70	1	d	d	NOUN
ejpam-1175	70	2	}	}	PUNCT
ejpam-1175	70	3	,	,	PUNCT
ejpam-1175	70	4	and	and	CCONJ
ejpam-1175	70	5	mi	mi	PROPN
ejpam-1175	70	6	=	=	SYM
ejpam-1175	70	7	mi(x	mi(x	PROPN
ejpam-1175	70	8	)	)	PUNCT
ejpam-1175	70	9	(	(	PUNCT
ejpam-1175	70	10	i	i	NOUN
ejpam-1175	70	11	=	=	SYM
ejpam-1175	70	12	1,2	1,2	NUM
ejpam-1175	70	13	)	)	PUNCT
ejpam-1175	70	14	are	be	AUX
ejpam-1175	70	15	once	once	ADV
ejpam-1175	70	16	-	-	PUNCT
ejpam-1175	70	17	continuously	continuously	ADV
ejpam-1175	70	18	differentiable	differentiable	VERB
ejpam-1175	70	19	for	for	ADP
ejpam-1175	70	20	x	x	SYM
ejpam-1175	70	21	∈	∈	PROPN
ejpam-1175	70	22	[	[	X
ejpam-1175	70	23	−m1	−m1	PROPN
ejpam-1175	70	24	,	,	PUNCT
ejpam-1175	70	25	m2	m2	PROPN
ejpam-1175	70	26	]	]	PUNCT
ejpam-1175	70	27	with	with	ADP
ejpam-1175	70	28	−m1	−m1	PROPN
ejpam-1175	70	29	=	=	PUNCT
ejpam-1175	70	30	in	in	ADP
ejpam-1175	70	31	f	f	PROPN
ejpam-1175	70	32	{	{	PUNCT
ejpam-1175	70	33	x	x	X
ejpam-1175	70	34	:	:	PUNCT
ejpam-1175	70	35	(	(	PUNCT
ejpam-1175	70	36	x	x	X
ejpam-1175	70	37	,	,	PUNCT
ejpam-1175	70	38	y	y	PROPN
ejpam-1175	70	39	)	)	PUNCT
ejpam-1175	70	40	∈	∈	PROPN
ejpam-1175	71	1	d	d	NOUN
ejpam-1175	71	2	}	}	PUNCT
ejpam-1175	71	3	and	and	CCONJ
ejpam-1175	71	4	m2	m2	PROPN
ejpam-1175	71	5	=	=	PROPN
ejpam-1175	71	6	sup{x	sup{x	NOUN
ejpam-1175	71	7	:	:	PUNCT
ejpam-1175	71	8	(	(	PUNCT
ejpam-1175	71	9	x	x	X
ejpam-1175	71	10	,	,	PUNCT
ejpam-1175	71	11	y	y	PROPN
ejpam-1175	71	12	)	)	PUNCT
ejpam-1175	71	13	∈	∈	PROPN
ejpam-1175	72	1	d	d	NOUN
ejpam-1175	72	2	}	}	PUNCT
ejpam-1175	72	3	.	.	PUNCT
ejpam-1175	73	1	j.	j.	PROPN
ejpam-1175	73	2	rassias	rassias	PROPN
ejpam-1175	73	3	/	/	SYM
ejpam-1175	73	4	eur	eur	PROPN
ejpam-1175	73	5	.	.	PUNCT
ejpam-1175	74	1	j.	j.	PROPN
ejpam-1175	74	2	pure	pure	PROPN
ejpam-1175	74	3	appl	appl	PROPN
ejpam-1175	74	4	.	.	PROPN
ejpam-1175	74	5	math	math	PROPN
ejpam-1175	74	6	,	,	PUNCT
ejpam-1175	74	7	4	4	NUM
ejpam-1175	74	8	(	(	PUNCT
ejpam-1175	74	9	2011	2011	NUM
ejpam-1175	74	10	)	)	PUNCT
ejpam-1175	74	11	,	,	PUNCT
ejpam-1175	74	12	186	186	NUM
ejpam-1175	74	13	-	-	SYM
ejpam-1175	74	14	208	208	NUM
ejpam-1175	74	15	189	189	NUM
ejpam-1175	74	16	figure	figure	NOUN
ejpam-1175	74	17	1	1	NUM
ejpam-1175	74	18	besides	besides	SCONJ
ejpam-1175	74	19	,	,	PUNCT
ejpam-1175	74	20	k1(y	k1(y	PROPN
ejpam-1175	74	21	)	)	PUNCT
ejpam-1175	74	22			PROPN
ejpam-1175	74	23			PROPN
ejpam-1175	74	24			PROPN
ejpam-1175	74	25	>	>	X
ejpam-1175	74	26	0	0	PUNCT
ejpam-1175	75	1	for	for	ADP
ejpam-1175	75	2	{	{	PUNCT
ejpam-1175	75	3	y	y	PROPN
ejpam-1175	75	4	<	<	NOUN
ejpam-1175	75	5	0	0	NUM
ejpam-1175	75	6	}	}	PUNCT
ejpam-1175	75	7	∪	∪	NOUN
ejpam-1175	75	8	{	{	PUNCT
ejpam-1175	75	9	y	y	PROPN
ejpam-1175	75	10	>	>	X
ejpam-1175	75	11	1	1	NUM
ejpam-1175	75	12	}	}	PUNCT
ejpam-1175	75	13	=	=	SYM
ejpam-1175	75	14	0	0	NUM
ejpam-1175	75	15	for	for	ADP
ejpam-1175	75	16	{	{	PUNCT
ejpam-1175	75	17	y	y	PROPN
ejpam-1175	75	18	=	=	PUNCT
ejpam-1175	75	19	0	0	NUM
ejpam-1175	75	20	}	}	PUNCT
ejpam-1175	75	21	∪	∪	NOUN
ejpam-1175	75	22	{	{	PUNCT
ejpam-1175	75	23	y	y	NOUN
ejpam-1175	75	24	=	=	SYM
ejpam-1175	75	25	1	1	NUM
ejpam-1175	75	26	}	}	PUNCT
ejpam-1175	75	27	;	;	PUNCT
ejpam-1175	75	28	<	<	X
ejpam-1175	75	29	0	0	NUM
ejpam-1175	75	30	for	for	ADP
ejpam-1175	75	31	{	{	PUNCT
ejpam-1175	75	32	0	0	NUM
ejpam-1175	75	33	<	<	X
ejpam-1175	75	34	y	y	X
ejpam-1175	75	35	<	<	X
ejpam-1175	75	36	1	1	NUM
ejpam-1175	75	37	}	}	SYM
ejpam-1175	75	38	m1(x	m1(x	NOUN
ejpam-1175	75	39	)	)	PUNCT
ejpam-1175	75	40			PROPN
ejpam-1175	75	41			PROPN
ejpam-1175	75	42			PROPN
ejpam-1175	75	43	>	>	X
ejpam-1175	75	44	0	0	PUNCT
ejpam-1175	75	45	for	for	ADP
ejpam-1175	75	46	{	{	PUNCT
ejpam-1175	75	47	x	x	X
ejpam-1175	75	48	<	<	X
ejpam-1175	75	49	−1	−1	NOUN
ejpam-1175	75	50	}	}	PUNCT
ejpam-1175	75	51	∪	∪	NOUN
ejpam-1175	75	52	{	{	PUNCT
ejpam-1175	75	53	x	x	SYM
ejpam-1175	75	54	>	>	X
ejpam-1175	75	55	0	0	NUM
ejpam-1175	75	56	}	}	PUNCT
ejpam-1175	75	57	=	=	SYM
ejpam-1175	75	58	0	0	NUM
ejpam-1175	75	59	for	for	ADP
ejpam-1175	75	60	{	{	PUNCT
ejpam-1175	75	61	x	x	SYM
ejpam-1175	75	62	=	=	SYM
ejpam-1175	75	63	0	0	NUM
ejpam-1175	75	64	}	}	PUNCT
ejpam-1175	75	65	∪	∪	NOUN
ejpam-1175	75	66	{	{	PUNCT
ejpam-1175	75	67	x	x	NOUN
ejpam-1175	75	68	=	=	SYM
ejpam-1175	75	69	−1	−1	NOUN
ejpam-1175	75	70	}	}	PUNCT
ejpam-1175	75	71	,	,	PUNCT
ejpam-1175	75	72	<	<	X
ejpam-1175	75	73	0	0	NUM
ejpam-1175	75	74	for	for	ADP
ejpam-1175	75	75	{	{	PUNCT
ejpam-1175	75	76	−1	−1	NOUN
ejpam-1175	75	77	<	<	X
ejpam-1175	75	78	x	x	X
ejpam-1175	75	79	<	<	X
ejpam-1175	75	80	0	0	NUM
ejpam-1175	75	81	}	}	PUNCT
ejpam-1175	75	82	as	as	ADV
ejpam-1175	75	83	well	well	ADV
ejpam-1175	75	84	as	as	ADP
ejpam-1175	75	85	k2	k2	X
ejpam-1175	75	86	=	=	SYM
ejpam-1175	75	87	k2(y	k2(y	PROPN
ejpam-1175	75	88	)	)	PUNCT
ejpam-1175	75	89	>	>	X
ejpam-1175	75	90	0	0	PROPN
ejpam-1175	75	91	,	,	PUNCT
ejpam-1175	75	92	m2	m2	PROPN
ejpam-1175	75	93	=	=	PROPN
ejpam-1175	75	94	m2(x	m2(x	PROPN
ejpam-1175	75	95	)	)	PUNCT
ejpam-1175	75	96	>	>	X
ejpam-1175	75	97	0	0	NUM
ejpam-1175	75	98	,	,	PUNCT
ejpam-1175	75	99	everywhere	everywhere	ADV
ejpam-1175	75	100	in	in	ADP
ejpam-1175	75	101	d	d	PROPN
ejpam-1175	75	102	,	,	PUNCT
ejpam-1175	75	103	so	so	SCONJ
ejpam-1175	75	104	that	that	SCONJ
ejpam-1175	75	105	k	k	PROPN
ejpam-1175	75	106	=	=	SYM
ejpam-1175	75	107	k(y	k(y	PROPN
ejpam-1175	75	108	)	)	PUNCT
ejpam-1175	75	109	=	=	SYM
ejpam-1175	75	110	k1(y	k1(y	PROPN
ejpam-1175	75	111	)	)	PUNCT
ejpam-1175	75	112	k2(y	k2(y	PROPN
ejpam-1175	75	113	)	)	PUNCT
ejpam-1175	75	114			PROPN
ejpam-1175	75	115			PROPN
ejpam-1175	75	116			PROPN
ejpam-1175	75	117	>	>	X
ejpam-1175	75	118	0	0	PUNCT
ejpam-1175	75	119	for	for	ADP
ejpam-1175	75	120	{	{	PUNCT
ejpam-1175	75	121	y	y	PROPN
ejpam-1175	75	122	<	<	NOUN
ejpam-1175	75	123	0	0	NUM
ejpam-1175	75	124	}	}	PUNCT
ejpam-1175	75	125	∪	∪	NOUN
ejpam-1175	75	126	{	{	PUNCT
ejpam-1175	75	127	y	y	PROPN
ejpam-1175	75	128	>	>	X
ejpam-1175	75	129	1	1	NUM
ejpam-1175	75	130	}	}	PUNCT
ejpam-1175	75	131	=	=	SYM
ejpam-1175	75	132	0	0	NUM
ejpam-1175	75	133	for	for	ADP
ejpam-1175	75	134	{	{	PUNCT
ejpam-1175	75	135	y	y	PROPN
ejpam-1175	75	136	=	=	PUNCT
ejpam-1175	75	137	0	0	NUM
ejpam-1175	75	138	}	}	PUNCT
ejpam-1175	75	139	∪	∪	NOUN
ejpam-1175	75	140	{	{	PUNCT
ejpam-1175	75	141	y	y	NOUN
ejpam-1175	75	142	=	=	SYM
ejpam-1175	75	143	1	1	NUM
ejpam-1175	75	144	}	}	PUNCT
ejpam-1175	75	145	;	;	PUNCT
ejpam-1175	75	146	<	<	X
ejpam-1175	75	147	0	0	NUM
ejpam-1175	75	148	for	for	ADP
ejpam-1175	75	149	{	{	PUNCT
ejpam-1175	75	150	0	0	NUM
ejpam-1175	75	151	<	<	X
ejpam-1175	75	152	y	y	X
ejpam-1175	75	153	<	<	X
ejpam-1175	75	154	1	1	NUM
ejpam-1175	75	155	}	}	PUNCT
ejpam-1175	75	156	j.	j.	PROPN
ejpam-1175	75	157	rassias	rassias	PROPN
ejpam-1175	75	158	/	/	SYM
ejpam-1175	75	159	eur	eur	PROPN
ejpam-1175	75	160	.	.	PUNCT
ejpam-1175	76	1	j.	j.	PROPN
ejpam-1175	76	2	pure	pure	PROPN
ejpam-1175	76	3	appl	appl	PROPN
ejpam-1175	76	4	.	.	PROPN
ejpam-1175	76	5	math	math	PROPN
ejpam-1175	76	6	,	,	PUNCT
ejpam-1175	76	7	4	4	NUM
ejpam-1175	76	8	(	(	PUNCT
ejpam-1175	76	9	2011	2011	NUM
ejpam-1175	76	10	)	)	PUNCT
ejpam-1175	76	11	,	,	PUNCT
ejpam-1175	76	12	186	186	NUM
ejpam-1175	76	13	-	-	SYM
ejpam-1175	76	14	208	208	NUM
ejpam-1175	76	15	190	190	NUM
ejpam-1175	76	16	m	m	NOUN
ejpam-1175	76	17	=	=	SYM
ejpam-1175	76	18	m(x	m(x	PROPN
ejpam-1175	76	19	)	)	PUNCT
ejpam-1175	76	20	=	=	SYM
ejpam-1175	76	21	m1(x	m1(x	NOUN
ejpam-1175	76	22	)	)	PUNCT
ejpam-1175	76	23	m2(x	m2(x	NOUN
ejpam-1175	76	24	)	)	PUNCT
ejpam-1175	76	25			PROPN
ejpam-1175	76	26			PROPN
ejpam-1175	76	27			PROPN
ejpam-1175	76	28	>	>	X
ejpam-1175	76	29	0	0	PUNCT
ejpam-1175	77	1	for	for	ADP
ejpam-1175	77	2	{	{	PUNCT
ejpam-1175	77	3	x	x	X
ejpam-1175	77	4	<	<	X
ejpam-1175	77	5	−1	−1	NOUN
ejpam-1175	77	6	}	}	PUNCT
ejpam-1175	77	7	∪	∪	NOUN
ejpam-1175	77	8	{	{	PUNCT
ejpam-1175	77	9	x	x	SYM
ejpam-1175	77	10	>	>	X
ejpam-1175	77	11	0	0	NUM
ejpam-1175	77	12	}	}	PUNCT
ejpam-1175	77	13	=	=	SYM
ejpam-1175	77	14	0	0	NUM
ejpam-1175	77	15	for	for	ADP
ejpam-1175	77	16	{	{	PUNCT
ejpam-1175	77	17	x	x	SYM
ejpam-1175	77	18	=	=	SYM
ejpam-1175	77	19	0	0	NUM
ejpam-1175	77	20	}	}	PUNCT
ejpam-1175	77	21	∪	∪	NOUN
ejpam-1175	77	22	{	{	PUNCT
ejpam-1175	77	23	x	x	NOUN
ejpam-1175	77	24	=	=	SYM
ejpam-1175	77	25	−1	−1	NOUN
ejpam-1175	77	26	}	}	PUNCT
ejpam-1175	77	27	.	.	PUNCT
ejpam-1175	78	1	<	<	X
ejpam-1175	78	2	0	0	PUNCT
ejpam-1175	78	3	for	for	ADP
ejpam-1175	78	4	{	{	PUNCT
ejpam-1175	78	5	−1	−1	NOUN
ejpam-1175	78	6	<	<	X
ejpam-1175	78	7	x	x	X
ejpam-1175	78	8	<	<	X
ejpam-1175	78	9	0	0	NUM
ejpam-1175	78	10	}	}	PUNCT
ejpam-1175	78	11	the	the	DET
ejpam-1175	78	12	boundary	boundary	ADJ
ejpam-1175	78	13	∂	∂	NOUN
ejpam-1175	78	14	d	d	NOUN
ejpam-1175	78	15	=	=	SYM
ejpam-1175	78	16	e	e	NOUN
ejpam-1175	78	17	x	x	NOUN
ejpam-1175	78	18	t(d	t(d	NOUN
ejpam-1175	78	19	)	)	PUNCT
ejpam-1175	78	20	∪	∪	ADP
ejpam-1175	78	21	int(d	int(d	PROPN
ejpam-1175	78	22	)	)	PUNCT
ejpam-1175	78	23	of	of	ADP
ejpam-1175	78	24	the	the	DET
ejpam-1175	78	25	doubly	doubly	ADV
ejpam-1175	78	26	connected	connected	ADJ
ejpam-1175	78	27	domain	domain	NOUN
ejpam-1175	78	28	d	d	NOUN
ejpam-1175	78	29	is	be	AUX
ejpam-1175	78	30	formed	form	VERB
ejpam-1175	78	31	by	by	ADP
ejpam-1175	78	32	the	the	DET
ejpam-1175	78	33	following	follow	VERB
ejpam-1175	78	34	two	two	NUM
ejpam-1175	78	35	exterior	exterior	ADJ
ejpam-1175	78	36	and	and	CCONJ
ejpam-1175	78	37	interior	interior	ADJ
ejpam-1175	78	38	boundaries	boundary	NOUN
ejpam-1175	78	39	e	e	NOUN
ejpam-1175	78	40	x	x	NOUN
ejpam-1175	78	41	t(d	t(d	VERB
ejpam-1175	78	42	)	)	PUNCT
ejpam-1175	78	43	=	=	SYM
ejpam-1175	79	1	(	(	PUNCT
ejpam-1175	79	2	γ0	γ0	NOUN
ejpam-1175	79	3	∪γ0	∪γ0	ADJ
ejpam-1175	79	4	′	′	NUM
ejpam-1175	79	5	∪γ0	∪γ0	ADJ
ejpam-1175	80	1	′′	′′	PROPN
ejpam-1175	80	2	∪γ0	∪γ0	ADJ
ejpam-1175	80	3	′′′)∪	′′′)∪	X
ejpam-1175	81	1	(	(	PUNCT
ejpam-1175	81	2	γ2	γ2	ADJ
ejpam-1175	81	3	∪γ2	∪γ2	NOUN
ejpam-1175	81	4	′)∪	′)∪	PROPN
ejpam-1175	81	5	(	(	PUNCT
ejpam-1175	81	6	γ2	γ2	PROPN
ejpam-1175	81	7	∪	∪	VERB
ejpam-1175	81	8	γ2	γ2	PROPN
ejpam-1175	81	9	′)∪	′)∪	PROPN
ejpam-1175	81	10	(	(	PUNCT
ejpam-1175	81	11	∆1	∆1	PROPN
ejpam-1175	81	12	∪∆1	∪∆1	VERB
ejpam-1175	81	13	′)∪	′)∪	PROPN
ejpam-1175	81	14	(	(	PUNCT
ejpam-1175	81	15	δ1	δ1	NOUN
ejpam-1175	81	16	∪δ1	∪δ1	NOUN
ejpam-1175	81	17	′	′	NOUN
ejpam-1175	81	18	)	)	PUNCT
ejpam-1175	81	19	,	,	PUNCT
ejpam-1175	81	20	int(d	int(d	PROPN
ejpam-1175	81	21	)	)	PUNCT
ejpam-1175	81	22	=	=	PUNCT
ejpam-1175	82	1	(	(	PUNCT
ejpam-1175	82	2	γ1	γ1	PROPN
ejpam-1175	82	3	∪γ1	∪γ1	VERB
ejpam-1175	82	4	′)∪	′)∪	PROPN
ejpam-1175	82	5	(	(	PUNCT
ejpam-1175	82	6	γ1	γ1	PROPN
ejpam-1175	82	7	∪	∪	PROPN
ejpam-1175	82	8	γ1	γ1	PROPN
ejpam-1175	82	9	′)∪	′)∪	PROPN
ejpam-1175	82	10	(	(	PUNCT
ejpam-1175	82	11	∆2	∆2	PROPN
ejpam-1175	82	12	∪∆2	∪∆2	PROPN
ejpam-1175	82	13	′)∪	′)∪	PROPN
ejpam-1175	82	14	(	(	PUNCT
ejpam-1175	82	15	δ2	δ2	VERB
ejpam-1175	82	16	∪δ2	∪δ2	NOUN
ejpam-1175	82	17	′	′	NOUN
ejpam-1175	82	18	)	)	PUNCT
ejpam-1175	82	19	,	,	PUNCT
ejpam-1175	82	20	respectively	respectively	ADV
ejpam-1175	82	21	:	:	PUNCT
ejpam-1175	82	22	in	in	ADP
ejpam-1175	82	23	the	the	DET
ejpam-1175	82	24	right	right	ADJ
ejpam-1175	82	25	hyperbolic	hyperbolic	ADJ
ejpam-1175	82	26	domain	domain	NOUN
ejpam-1175	82	27	g2	g2	PROPN
ejpam-1175	82	28	=	=	PRON
ejpam-1175	82	29	{	{	PUNCT
ejpam-1175	82	30	(	(	PUNCT
ejpam-1175	82	31	x	x	INTJ
ejpam-1175	82	32	,	,	PUNCT
ejpam-1175	82	33	y	y	PROPN
ejpam-1175	82	34	)	)	PUNCT
ejpam-1175	82	35	∈	∈	PROPN
ejpam-1175	83	1	d	d	NOUN
ejpam-1175	83	2	:	:	PUNCT
ejpam-1175	83	3	0	0	NUM
ejpam-1175	83	4	<	<	X
ejpam-1175	83	5	x	x	X
ejpam-1175	83	6	<	<	X
ejpam-1175	83	7	1	1	NUM
ejpam-1175	83	8	,	,	PUNCT
ejpam-1175	83	9	0	0	PUNCT
ejpam-1175	83	10	<	<	X
ejpam-1175	83	11	y	y	X
ejpam-1175	83	12	<	<	X
ejpam-1175	83	13	1	1	NUM
ejpam-1175	83	14	}	}	PUNCT
ejpam-1175	83	15	with	with	ADP
ejpam-1175	83	16	boundary	boundary	ADJ
ejpam-1175	83	17	∂	∂	NOUN
ejpam-1175	83	18	g2	g2	PROPN
ejpam-1175	83	19	=	=	PUNCT
ejpam-1175	84	1	(	(	PUNCT
ejpam-1175	84	2	o1b1)∪(o2b2)∪(γ1∪γ1	o1b1)∪(o2b2)∪(γ1∪γ1	PROPN
ejpam-1175	84	3	′)∪(γ2∪γ2	′)∪(γ2∪γ2	NOUN
ejpam-1175	84	4	′	′	NUM
ejpam-1175	84	5	)	)	PUNCT
ejpam-1175	84	6	,	,	PUNCT
ejpam-1175	84	7	where	where	SCONJ
ejpam-1175	84	8	o1b1	o1b1	X
ejpam-1175	84	9	,	,	PUNCT
ejpam-1175	84	10	o2b2	o2b2	X
ejpam-1175	84	11	are	be	AUX
ejpam-1175	84	12	two	two	NUM
ejpam-1175	84	13	parabolic	parabolic	ADJ
ejpam-1175	84	14	lines	line	NOUN
ejpam-1175	84	15	with	with	ADP
ejpam-1175	84	16	end	end	NOUN
ejpam-1175	84	17	points	point	NOUN
ejpam-1175	84	18	o1	o1	NOUN
ejpam-1175	84	19	=	=	SYM
ejpam-1175	84	20	(	(	PUNCT
ejpam-1175	84	21	0,1	0,1	NUM
ejpam-1175	84	22	)	)	PUNCT
ejpam-1175	84	23	,	,	PUNCT
ejpam-1175	84	24	b1	b1	NOUN
ejpam-1175	84	25	=	=	SYM
ejpam-1175	84	26	(	(	PUNCT
ejpam-1175	84	27	1,1	1,1	NUM
ejpam-1175	84	28	)	)	PUNCT
ejpam-1175	84	29	and	and	CCONJ
ejpam-1175	84	30	o2	o2	PROPN
ejpam-1175	84	31	=	=	SYM
ejpam-1175	84	32	(	(	PUNCT
ejpam-1175	84	33	0,0	0,0	NOUN
ejpam-1175	84	34	)	)	PUNCT
ejpam-1175	84	35	,	,	PUNCT
ejpam-1175	84	36	b2	b2	NOUN
ejpam-1175	84	37	=	=	SYM
ejpam-1175	84	38	(	(	PUNCT
ejpam-1175	84	39	1,0	1,0	NUM
ejpam-1175	84	40	)	)	PUNCT
ejpam-1175	84	41	and	and	CCONJ
ejpam-1175	84	42	γ1,γ1	γ1,γ1	PROPN
ejpam-1175	84	43	′,γ2,γ2	′,γ2,γ2	ADP
ejpam-1175	85	1	′	′	NUM
ejpam-1175	85	2	are	be	AUX
ejpam-1175	85	3	four	four	NUM
ejpam-1175	85	4	characteristics	characteristic	NOUN
ejpam-1175	85	5	,	,	PUNCT
ejpam-1175	85	6	so	so	SCONJ
ejpam-1175	85	7	that	that	SCONJ
ejpam-1175	85	8	:	:	PUNCT
ejpam-1175	85	9	γ1	γ1	NOUN
ejpam-1175	85	10	:	:	PUNCT
ejpam-1175	85	11	∫	∫	PROPN
ejpam-1175	85	12	x	x	SYM
ejpam-1175	85	13	0	0	PUNCT
ejpam-1175	85	14	p	p	PRON
ejpam-1175	85	15	m(t)d	m(t)d	PROPN
ejpam-1175	85	16	t	t	PROPN
ejpam-1175	85	17	=	=	PUNCT
ejpam-1175	86	1	−	−	PROPN
ejpam-1175	86	2	∫	∫	PROPN
ejpam-1175	86	3	y	y	PROPN
ejpam-1175	86	4	1	1	NUM
ejpam-1175	86	5	p	p	PROPN
ejpam-1175	86	6	−k(t)d	−k(t)d	PROPN
ejpam-1175	86	7	t	t	PROPN
ejpam-1175	86	8	:	:	PUNCT
ejpam-1175	86	9	0	0	PUNCT
ejpam-1175	86	10	<	<	X
ejpam-1175	86	11	x	x	X
ejpam-1175	86	12	<	<	X
ejpam-1175	86	13	1	1	NUM
ejpam-1175	86	14	,	,	PUNCT
ejpam-1175	86	15	1	1	NUM
ejpam-1175	86	16	2	2	NUM
ejpam-1175	86	17	<	<	X
ejpam-1175	86	18	y	y	X
ejpam-1175	86	19	<	<	X
ejpam-1175	86	20	1	1	NUM
ejpam-1175	86	21	emanating	emanate	VERB
ejpam-1175	86	22	from	from	ADP
ejpam-1175	86	23	o1	o1	NOUN
ejpam-1175	86	24	=	=	SYM
ejpam-1175	86	25	(	(	PUNCT
ejpam-1175	86	26	0,1	0,1	NUM
ejpam-1175	86	27	)	)	PUNCT
ejpam-1175	86	28	,	,	PUNCT
ejpam-1175	86	29	γ1	γ1	PROPN
ejpam-1175	86	30	′	′	NUM
ejpam-1175	86	31	:	:	PUNCT
ejpam-1175	87	1	∫	∫	PROPN
ejpam-1175	87	2	x	x	SYM
ejpam-1175	87	3	0	0	PUNCT
ejpam-1175	88	1	p	p	PRON
ejpam-1175	88	2	m(t)d	m(t)d	PROPN
ejpam-1175	88	3	t	t	PROPN
ejpam-1175	88	4	=	=	SYM
ejpam-1175	88	5	∫	∫	PROPN
ejpam-1175	89	1	y	y	PROPN
ejpam-1175	89	2	0	0	PROPN
ejpam-1175	90	1	p	p	PRON
ejpam-1175	90	2	−k(t)d	−k(t)d	PROPN
ejpam-1175	90	3	t	t	PROPN
ejpam-1175	90	4	:	:	PUNCT
ejpam-1175	90	5	0	0	PUNCT
ejpam-1175	90	6	<	<	X
ejpam-1175	90	7	x	x	X
ejpam-1175	90	8	<	<	X
ejpam-1175	90	9	1	1	NUM
ejpam-1175	90	10	,	,	PUNCT
ejpam-1175	90	11	0	0	NUM
ejpam-1175	90	12	<	<	X
ejpam-1175	90	13	y	y	X
ejpam-1175	90	14	<	<	X
ejpam-1175	90	15	1	1	NUM
ejpam-1175	90	16	2	2	NUM
ejpam-1175	90	17	,	,	PUNCT
ejpam-1175	90	18	emanating	emanate	VERB
ejpam-1175	90	19	from	from	ADP
ejpam-1175	90	20	o2	o2	PROPN
ejpam-1175	90	21	=	=	SYM
ejpam-1175	90	22	(	(	PUNCT
ejpam-1175	90	23	0,0	0,0	NOUN
ejpam-1175	90	24	)	)	PUNCT
ejpam-1175	90	25	,	,	PUNCT
ejpam-1175	90	26	γ2	γ2	PROPN
ejpam-1175	90	27	:	:	PUNCT
ejpam-1175	90	28	∫	∫	PROPN
ejpam-1175	90	29	x	x	SYM
ejpam-1175	90	30	1	1	NUM
ejpam-1175	90	31	p	p	NOUN
ejpam-1175	90	32	m(t)d	m(t)d	PROPN
ejpam-1175	90	33	t	t	PROPN
ejpam-1175	90	34	=	=	SYM
ejpam-1175	90	35	∫	∫	PROPN
ejpam-1175	90	36	y	y	PROPN
ejpam-1175	90	37	1	1	NUM
ejpam-1175	90	38	p	p	PROPN
ejpam-1175	90	39	−k(t)d	−k(t)d	PROPN
ejpam-1175	90	40	t	t	PROPN
ejpam-1175	90	41	:	:	PUNCT
ejpam-1175	90	42	0	0	PUNCT
ejpam-1175	90	43	<	<	X
ejpam-1175	90	44	x	x	X
ejpam-1175	90	45	<	<	X
ejpam-1175	90	46	1	1	NUM
ejpam-1175	90	47	,	,	PUNCT
ejpam-1175	90	48	1	1	NUM
ejpam-1175	90	49	2	2	NUM
ejpam-1175	90	50	<	<	X
ejpam-1175	90	51	y	y	X
ejpam-1175	90	52	<	<	X
ejpam-1175	90	53	1,emanating	1,emanate	VERB
ejpam-1175	90	54	from	from	ADP
ejpam-1175	90	55	b1	b1	NOUN
ejpam-1175	90	56	=	=	SYM
ejpam-1175	90	57	(	(	PUNCT
ejpam-1175	90	58	1,1	1,1	NUM
ejpam-1175	90	59	)	)	PUNCT
ejpam-1175	90	60	,	,	PUNCT
ejpam-1175	90	61	γ2	γ2	PROPN
ejpam-1175	90	62	′	′	NUM
ejpam-1175	90	63	:	:	PUNCT
ejpam-1175	91	1	∫	∫	PROPN
ejpam-1175	91	2	x	x	SYM
ejpam-1175	91	3	1	1	NUM
ejpam-1175	91	4	p	p	NOUN
ejpam-1175	91	5	m(t)d	m(t)d	PROPN
ejpam-1175	91	6	t	t	PROPN
ejpam-1175	91	7	=	=	PUNCT
ejpam-1175	92	1	−	−	PROPN
ejpam-1175	92	2	∫	∫	PROPN
ejpam-1175	92	3	y	y	PROPN
ejpam-1175	92	4	0	0	PROPN
ejpam-1175	93	1	p	p	PRON
ejpam-1175	93	2	−k(t)d	−k(t)d	PROPN
ejpam-1175	93	3	t	t	PROPN
ejpam-1175	93	4	:	:	PUNCT
ejpam-1175	93	5	0	0	PUNCT
ejpam-1175	93	6	<	<	X
ejpam-1175	93	7	x	x	X
ejpam-1175	93	8	<	<	X
ejpam-1175	93	9	1,0	1,0	NUM
ejpam-1175	93	10	<	<	X
ejpam-1175	93	11	y	y	X
ejpam-1175	93	12	<	<	X
ejpam-1175	93	13	1	1	NUM
ejpam-1175	93	14	2	2	NUM
ejpam-1175	93	15	,	,	PUNCT
ejpam-1175	93	16	emanating	emanate	VERB
ejpam-1175	93	17	from	from	ADP
ejpam-1175	93	18	b2	b2	NOUN
ejpam-1175	93	19	=	=	SYM
ejpam-1175	93	20	(	(	PUNCT
ejpam-1175	93	21	1,0	1,0	NUM
ejpam-1175	93	22	)	)	PUNCT
ejpam-1175	93	23	,	,	PUNCT
ejpam-1175	93	24	where	where	SCONJ
ejpam-1175	93	25	m	m	VERB
ejpam-1175	93	26	=	=	SYM
ejpam-1175	93	27	m(x	m(x	PROPN
ejpam-1175	93	28	)	)	PUNCT
ejpam-1175	93	29	>	>	X
ejpam-1175	93	30	0	0	NUM
ejpam-1175	93	31	,	,	PUNCT
ejpam-1175	93	32	0	0	NUM
ejpam-1175	93	33	<	<	X
ejpam-1175	93	34	x	x	X
ejpam-1175	93	35	<	<	X
ejpam-1175	93	36	1	1	NUM
ejpam-1175	93	37	and	and	CCONJ
ejpam-1175	93	38	k	k	PROPN
ejpam-1175	93	39	=	=	SYM
ejpam-1175	93	40	k(y	k(y	PROPN
ejpam-1175	93	41	)	)	PUNCT
ejpam-1175	93	42	<	<	X
ejpam-1175	93	43	0	0	NUM
ejpam-1175	93	44	,	,	PUNCT
ejpam-1175	93	45	0	0	PUNCT
ejpam-1175	93	46	<	<	X
ejpam-1175	93	47	y	y	X
ejpam-1175	93	48	<	<	X
ejpam-1175	93	49	1	1	NUM
ejpam-1175	93	50	.	.	PUNCT
ejpam-1175	94	1	in	in	ADP
ejpam-1175	94	2	the	the	DET
ejpam-1175	94	3	upper	upper	ADJ
ejpam-1175	94	4	hyperbolic	hyperbolic	ADJ
ejpam-1175	94	5	domain	domain	NOUN
ejpam-1175	94	6	g2	g2	NOUN
ejpam-1175	94	7	′	′	NUM
ejpam-1175	95	1	=	=	PUNCT
ejpam-1175	95	2	{	{	PUNCT
ejpam-1175	95	3	(	(	PUNCT
ejpam-1175	95	4	x	x	INTJ
ejpam-1175	95	5	,	,	PUNCT
ejpam-1175	95	6	y	y	PROPN
ejpam-1175	95	7	)	)	PUNCT
ejpam-1175	95	8	∈	∈	PROPN
ejpam-1175	95	9	d	d	NOUN
ejpam-1175	95	10	:	:	PUNCT
ejpam-1175	95	11	−1	−1	NOUN
ejpam-1175	95	12	<	<	X
ejpam-1175	95	13	x	x	X
ejpam-1175	95	14	<	<	X
ejpam-1175	95	15	0,1	0,1	NUM
ejpam-1175	95	16	<	<	X
ejpam-1175	95	17	y	y	X
ejpam-1175	95	18	<	<	X
ejpam-1175	95	19	2	2	NUM
ejpam-1175	95	20	}	}	PUNCT
ejpam-1175	95	21	with	with	ADP
ejpam-1175	95	22	boundary	boundary	ADJ
ejpam-1175	95	23	∂	∂	NOUN
ejpam-1175	95	24	g2	g2	PROPN
ejpam-1175	95	25	′	′	NUM
ejpam-1175	95	26	=	=	PUNCT
ejpam-1175	95	27	(	(	PUNCT
ejpam-1175	95	28	o1z1	o1z1	NOUN
ejpam-1175	95	29	)	)	PUNCT
ejpam-1175	95	30	∪	∪	NOUN
ejpam-1175	95	31	(	(	PUNCT
ejpam-1175	95	32	o1	o1	NOUN
ejpam-1175	95	33	′e1	′e1	NOUN
ejpam-1175	95	34	)	)	PUNCT
ejpam-1175	95	35	∪	∪	NOUN
ejpam-1175	95	36	(	(	PUNCT
ejpam-1175	95	37	γ1	γ1	PROPN
ejpam-1175	95	38	∪	∪	NOUN
ejpam-1175	95	39	γ1	γ1	PROPN
ejpam-1175	95	40	′	′	NOUN
ejpam-1175	95	41	)	)	PUNCT
ejpam-1175	95	42	∪	∪	NOUN
ejpam-1175	95	43	(	(	PUNCT
ejpam-1175	95	44	γ2	γ2	PROPN
ejpam-1175	95	45	∪	∪	ADJ
ejpam-1175	95	46	γ2	γ2	PROPN
ejpam-1175	95	47	′	′	NUM
ejpam-1175	95	48	)	)	PUNCT
ejpam-1175	95	49	,	,	PUNCT
ejpam-1175	95	50	where	where	SCONJ
ejpam-1175	95	51	o1z1	o1z1	NOUN
ejpam-1175	95	52	,	,	PUNCT
ejpam-1175	95	53	o1	o1	NOUN
ejpam-1175	95	54	′e1	′e1	NOUN
ejpam-1175	95	55	are	be	AUX
ejpam-1175	95	56	two	two	NUM
ejpam-1175	95	57	parabolic	parabolic	ADJ
ejpam-1175	95	58	lines	line	NOUN
ejpam-1175	95	59	with	with	ADP
ejpam-1175	95	60	end	end	NOUN
ejpam-1175	95	61	points	point	NOUN
ejpam-1175	95	62	o1	o1	NOUN
ejpam-1175	95	63	=	=	SYM
ejpam-1175	95	64	(	(	PUNCT
ejpam-1175	95	65	0,1	0,1	NUM
ejpam-1175	95	66	)	)	PUNCT
ejpam-1175	95	67	,	,	PUNCT
ejpam-1175	95	68	z1	z1	NOUN
ejpam-1175	95	69	=	=	SYM
ejpam-1175	95	70	(	(	PUNCT
ejpam-1175	95	71	0,2	0,2	NUM
ejpam-1175	95	72	)	)	PUNCT
ejpam-1175	95	73	and	and	CCONJ
ejpam-1175	95	74	o1	o1	NOUN
ejpam-1175	95	75	′	′	NUM
ejpam-1175	95	76	=	=	SYM
ejpam-1175	95	77	(	(	PUNCT
ejpam-1175	95	78	−1,1	−1,1	INTJ
ejpam-1175	95	79	)	)	PUNCT
ejpam-1175	95	80	,	,	PUNCT
ejpam-1175	95	81	e1	e1	NOUN
ejpam-1175	95	82	=	=	SYM
ejpam-1175	95	83	(	(	PUNCT
ejpam-1175	95	84	−1,2	−1,2	NOUN
ejpam-1175	95	85	)	)	PUNCT
ejpam-1175	95	86	and	and	CCONJ
ejpam-1175	95	87	γ1,γ1	γ1,γ1	PROPN
ejpam-1175	95	88	′,γ2,γ2	′,γ2,γ2	ADP
ejpam-1175	95	89	′	′	NUM
ejpam-1175	95	90	are	be	AUX
ejpam-1175	95	91	four	four	NUM
ejpam-1175	95	92	characteristics	characteristic	NOUN
ejpam-1175	95	93	,	,	PUNCT
ejpam-1175	95	94	so	so	SCONJ
ejpam-1175	95	95	that	that	SCONJ
ejpam-1175	95	96	:	:	PUNCT
ejpam-1175	95	97	γ1	γ1	NOUN
ejpam-1175	95	98	:	:	PUNCT
ejpam-1175	95	99	∫	∫	PROPN
ejpam-1175	95	100	x	x	SYM
ejpam-1175	95	101	0	0	PUNCT
ejpam-1175	95	102	p	p	X
ejpam-1175	95	103	−m(t)d	−m(t)d	PROPN
ejpam-1175	95	104	t	t	PROPN
ejpam-1175	95	105	=	=	PUNCT
ejpam-1175	96	1	−	−	PROPN
ejpam-1175	96	2	∫	∫	PROPN
ejpam-1175	96	3	y	y	PROPN
ejpam-1175	96	4	1	1	NUM
ejpam-1175	96	5	p	p	NOUN
ejpam-1175	96	6	k(t)d	k(t)d	PROPN
ejpam-1175	96	7	t	t	PROPN
ejpam-1175	96	8	:	:	PUNCT
ejpam-1175	96	9	−	−	PROPN
ejpam-1175	96	10	1	1	NUM
ejpam-1175	96	11	2	2	NUM
ejpam-1175	96	12	<	<	X
ejpam-1175	96	13	x	x	X
ejpam-1175	96	14	<	<	X
ejpam-1175	96	15	0	0	NUM
ejpam-1175	96	16	,	,	PUNCT
ejpam-1175	96	17	1	1	NUM
ejpam-1175	96	18	<	<	X
ejpam-1175	96	19	y	y	X
ejpam-1175	96	20	<	<	X
ejpam-1175	96	21	2	2	NUM
ejpam-1175	96	22	,	,	PUNCT
ejpam-1175	96	23	emanating	emanate	VERB
ejpam-1175	96	24	from	from	ADP
ejpam-1175	96	25	o1	o1	NOUN
ejpam-1175	96	26	=	=	SYM
ejpam-1175	96	27	(	(	PUNCT
ejpam-1175	96	28	0,1	0,1	NUM
ejpam-1175	96	29	)	)	PUNCT
ejpam-1175	96	30	,	,	PUNCT
ejpam-1175	96	31	γ1	γ1	PROPN
ejpam-1175	96	32	′	′	NUM
ejpam-1175	96	33	:	:	PUNCT
ejpam-1175	96	34	∫	∫	PROPN
ejpam-1175	96	35	x	x	SYM
ejpam-1175	96	36	−1	−1	NOUN
ejpam-1175	96	37	p	p	PROPN
ejpam-1175	96	38	−m(t)d	−m(t)d	PROPN
ejpam-1175	96	39	t	t	PROPN
ejpam-1175	96	40	=	=	SYM
ejpam-1175	96	41	∫	∫	PROPN
ejpam-1175	96	42	y	y	PROPN
ejpam-1175	96	43	1	1	NUM
ejpam-1175	96	44	p	p	NOUN
ejpam-1175	96	45	k(t)d	k(t)d	PROPN
ejpam-1175	96	46	t	t	PROPN
ejpam-1175	96	47	:	:	PUNCT
ejpam-1175	96	48	−1	−1	NOUN
ejpam-1175	96	49	<	<	X
ejpam-1175	96	50	x	x	X
ejpam-1175	96	51	<	<	X
ejpam-1175	96	52	−	−	PROPN
ejpam-1175	96	53	1	1	NUM
ejpam-1175	96	54	2	2	NUM
ejpam-1175	96	55	,	,	PUNCT
ejpam-1175	96	56	1	1	NUM
ejpam-1175	96	57	<	<	X
ejpam-1175	96	58	y	y	X
ejpam-1175	96	59	<	<	X
ejpam-1175	96	60	2	2	NUM
ejpam-1175	96	61	,	,	PUNCT
ejpam-1175	96	62	emanating	emanate	VERB
ejpam-1175	96	63	from	from	ADP
ejpam-1175	96	64	o1	o1	NOUN
ejpam-1175	96	65	′	′	NUM
ejpam-1175	96	66	=	=	SYM
ejpam-1175	96	67	(	(	PUNCT
ejpam-1175	96	68	−1,1	−1,1	INTJ
ejpam-1175	96	69	)	)	PUNCT
ejpam-1175	96	70	,	,	PUNCT
ejpam-1175	96	71	γ2	γ2	PROPN
ejpam-1175	96	72	:	:	PUNCT
ejpam-1175	96	73	∫	∫	PROPN
ejpam-1175	96	74	x	x	SYM
ejpam-1175	96	75	0	0	PUNCT
ejpam-1175	96	76	p	p	X
ejpam-1175	96	77	−m(t)d	−m(t)d	PROPN
ejpam-1175	96	78	t	t	PROPN
ejpam-1175	96	79	=	=	SYM
ejpam-1175	96	80	∫	∫	PROPN
ejpam-1175	96	81	y	y	PROPN
ejpam-1175	96	82	2	2	NUM
ejpam-1175	96	83	p	p	NOUN
ejpam-1175	96	84	k(t)d	k(t)d	PROPN
ejpam-1175	96	85	t	t	PROPN
ejpam-1175	96	86	:	:	PUNCT
ejpam-1175	96	87	−	−	PROPN
ejpam-1175	96	88	1	1	NUM
ejpam-1175	96	89	2	2	NUM
ejpam-1175	96	90	<	<	X
ejpam-1175	96	91	x	x	X
ejpam-1175	96	92	<	<	X
ejpam-1175	96	93	0	0	NUM
ejpam-1175	96	94	,	,	PUNCT
ejpam-1175	96	95	1	1	NUM
ejpam-1175	96	96	<	<	X
ejpam-1175	96	97	y	y	X
ejpam-1175	96	98	<	<	X
ejpam-1175	96	99	2	2	NUM
ejpam-1175	96	100	,	,	PUNCT
ejpam-1175	96	101	emanating	emanate	VERB
ejpam-1175	96	102	from	from	ADP
ejpam-1175	96	103	z1	z1	NOUN
ejpam-1175	96	104	=	=	SYM
ejpam-1175	96	105	(	(	PUNCT
ejpam-1175	96	106	0,2	0,2	NUM
ejpam-1175	96	107	)	)	PUNCT
ejpam-1175	96	108	,	,	PUNCT
ejpam-1175	96	109	γ2	γ2	PROPN
ejpam-1175	96	110	′	′	NUM
ejpam-1175	96	111	:	:	PUNCT
ejpam-1175	96	112	∫	∫	PROPN
ejpam-1175	96	113	x	x	SYM
ejpam-1175	96	114	−1	−1	NOUN
ejpam-1175	96	115	p	p	PROPN
ejpam-1175	96	116	−m(t)d	−m(t)d	PROPN
ejpam-1175	96	117	t	t	PROPN
ejpam-1175	96	118	=	=	PUNCT
ejpam-1175	97	1	−	−	PROPN
ejpam-1175	97	2	∫	∫	PROPN
ejpam-1175	97	3	y	y	PROPN
ejpam-1175	97	4	2	2	NUM
ejpam-1175	97	5	p	p	NOUN
ejpam-1175	97	6	k(t)d	k(t)d	PROPN
ejpam-1175	97	7	t	t	PROPN
ejpam-1175	97	8	:	:	PUNCT
ejpam-1175	97	9	−1	−1	NOUN
ejpam-1175	97	10	<	<	X
ejpam-1175	97	11	x	x	X
ejpam-1175	97	12	<	<	X
ejpam-1175	97	13	−	−	PROPN
ejpam-1175	97	14	1	1	NUM
ejpam-1175	97	15	2	2	NUM
ejpam-1175	97	16	,	,	PUNCT
ejpam-1175	97	17	1	1	NUM
ejpam-1175	97	18	<	<	X
ejpam-1175	97	19	y	y	X
ejpam-1175	97	20	<	<	X
ejpam-1175	97	21	2	2	NUM
ejpam-1175	97	22	,	,	PUNCT
ejpam-1175	97	23	emanating	emanate	VERB
ejpam-1175	97	24	from	from	ADP
ejpam-1175	97	25	e1	e1	NOUN
ejpam-1175	97	26	=	=	SYM
ejpam-1175	97	27	(	(	PUNCT
ejpam-1175	97	28	−1,2	−1,2	NOUN
ejpam-1175	97	29	)	)	PUNCT
ejpam-1175	97	30	,	,	PUNCT
ejpam-1175	97	31	j.	j.	PROPN
ejpam-1175	97	32	rassias	rassias	PROPN
ejpam-1175	97	33	/	/	SYM
ejpam-1175	97	34	eur	eur	PROPN
ejpam-1175	97	35	.	.	PUNCT
ejpam-1175	98	1	j.	j.	PROPN
ejpam-1175	98	2	pure	pure	PROPN
ejpam-1175	98	3	appl	appl	PROPN
ejpam-1175	98	4	.	.	PROPN
ejpam-1175	98	5	math	math	PROPN
ejpam-1175	98	6	,	,	PUNCT
ejpam-1175	98	7	4	4	NUM
ejpam-1175	98	8	(	(	PUNCT
ejpam-1175	98	9	2011	2011	NUM
ejpam-1175	98	10	)	)	PUNCT
ejpam-1175	98	11	,	,	PUNCT
ejpam-1175	98	12	186	186	NUM
ejpam-1175	98	13	-	-	SYM
ejpam-1175	98	14	208	208	NUM
ejpam-1175	98	15	191	191	NUM
ejpam-1175	98	16	where	where	SCONJ
ejpam-1175	98	17	m	m	VERB
ejpam-1175	98	18	=	=	SYM
ejpam-1175	98	19	m(x	m(x	PROPN
ejpam-1175	98	20	)	)	PUNCT
ejpam-1175	98	21	<	<	X
ejpam-1175	98	22	0	0	NUM
ejpam-1175	98	23	,	,	PUNCT
ejpam-1175	98	24	−1	−1	NOUN
ejpam-1175	98	25	<	<	X
ejpam-1175	98	26	x	x	X
ejpam-1175	98	27	<	<	X
ejpam-1175	98	28	0	0	PUNCT
ejpam-1175	98	29	and	and	CCONJ
ejpam-1175	98	30	k	k	PROPN
ejpam-1175	98	31	=	=	SYM
ejpam-1175	98	32	k(y	k(y	PROPN
ejpam-1175	98	33	)	)	PUNCT
ejpam-1175	98	34	>	>	X
ejpam-1175	98	35	0	0	NUM
ejpam-1175	98	36	,	,	PUNCT
ejpam-1175	98	37	1	1	NUM
ejpam-1175	98	38	<	<	X
ejpam-1175	98	39	y	y	X
ejpam-1175	98	40	<	<	X
ejpam-1175	98	41	2	2	NUM
ejpam-1175	98	42	.	.	PUNCT
ejpam-1175	99	1	in	in	ADP
ejpam-1175	99	2	the	the	DET
ejpam-1175	99	3	left	left	ADJ
ejpam-1175	99	4	hyperbolic	hyperbolic	ADJ
ejpam-1175	99	5	domain	domain	NOUN
ejpam-1175	99	6	g2	g2	PROPN
ejpam-1175	99	7	′′	′′	PROPN
ejpam-1175	99	8	=	=	PRON
ejpam-1175	99	9	{	{	PUNCT
ejpam-1175	99	10	(	(	PUNCT
ejpam-1175	99	11	x	x	INTJ
ejpam-1175	99	12	,	,	PUNCT
ejpam-1175	99	13	y	y	PROPN
ejpam-1175	99	14	)	)	PUNCT
ejpam-1175	99	15	∈	∈	PROPN
ejpam-1175	100	1	d	d	NOUN
ejpam-1175	100	2	:	:	PUNCT
ejpam-1175	100	3	−2	−2	X
ejpam-1175	100	4	<	<	X
ejpam-1175	100	5	x	x	X
ejpam-1175	100	6	<	<	X
ejpam-1175	100	7	−1,0	−1,0	X
ejpam-1175	100	8	<	<	X
ejpam-1175	100	9	y	y	X
ejpam-1175	100	10	<	<	X
ejpam-1175	100	11	1	1	NUM
ejpam-1175	100	12	}	}	PUNCT
ejpam-1175	100	13	with	with	ADP
ejpam-1175	100	14	boundary	boundary	ADJ
ejpam-1175	100	15	∂	∂	NOUN
ejpam-1175	100	16	g2	g2	PROPN
ejpam-1175	100	17	′′	′′	PROPN
ejpam-1175	100	18	=	=	SYM
ejpam-1175	100	19	(	(	PUNCT
ejpam-1175	100	20	o1	o1	PROPN
ejpam-1175	100	21	′a1	′a1	NOUN
ejpam-1175	100	22	)	)	PUNCT
ejpam-1175	100	23	∪	∪	NOUN
ejpam-1175	100	24	(	(	PUNCT
ejpam-1175	100	25	o2	o2	PROPN
ejpam-1175	100	26	′a2	′a2	NOUN
ejpam-1175	100	27	)	)	PUNCT
ejpam-1175	100	28	∪	∪	NOUN
ejpam-1175	100	29	(	(	PUNCT
ejpam-1175	100	30	∆1	∆1	NOUN
ejpam-1175	100	31	∪∆1	∪∆1	VERB
ejpam-1175	100	32	′	′	NOUN
ejpam-1175	100	33	)	)	PUNCT
ejpam-1175	100	34	∪	∪	NOUN
ejpam-1175	100	35	(	(	PUNCT
ejpam-1175	100	36	∆2	∆2	PROPN
ejpam-1175	100	37	∪∆2	∪∆2	PROPN
ejpam-1175	100	38	′	′	NOUN
ejpam-1175	100	39	)	)	PUNCT
ejpam-1175	100	40	,	,	PUNCT
ejpam-1175	100	41	where	where	SCONJ
ejpam-1175	100	42	o1	o1	NOUN
ejpam-1175	100	43	′a1	′a1	NOUN
ejpam-1175	100	44	,	,	PUNCT
ejpam-1175	100	45	o2	o2	PROPN
ejpam-1175	100	46	′a2	′a2	NOUN
ejpam-1175	100	47	are	be	AUX
ejpam-1175	100	48	two	two	NUM
ejpam-1175	100	49	parabolic	parabolic	ADJ
ejpam-1175	100	50	lines	line	NOUN
ejpam-1175	100	51	with	with	ADP
ejpam-1175	100	52	end	end	NOUN
ejpam-1175	100	53	points	point	NOUN
ejpam-1175	100	54	o1	o1	NOUN
ejpam-1175	100	55	′	′	NUM
ejpam-1175	100	56	=	=	SYM
ejpam-1175	100	57	(	(	PUNCT
ejpam-1175	100	58	−1,1	−1,1	INTJ
ejpam-1175	100	59	)	)	PUNCT
ejpam-1175	100	60	,	,	PUNCT
ejpam-1175	100	61	a1	a1	NOUN
ejpam-1175	100	62	=	=	SYM
ejpam-1175	100	63	(	(	PUNCT
ejpam-1175	100	64	−2,1	−2,1	X
ejpam-1175	100	65	)	)	PUNCT
ejpam-1175	100	66	and	and	CCONJ
ejpam-1175	100	67	o2	o2	PROPN
ejpam-1175	100	68	′	′	NUM
ejpam-1175	100	69	=	=	SYM
ejpam-1175	100	70	(	(	PUNCT
ejpam-1175	100	71	−1,0	−1,0	NOUN
ejpam-1175	100	72	)	)	PUNCT
ejpam-1175	100	73	,	,	PUNCT
ejpam-1175	100	74	a2	a2	PROPN
ejpam-1175	100	75	=	=	SYM
ejpam-1175	100	76	(	(	PUNCT
ejpam-1175	100	77	−2,0	−2,0	INTJ
ejpam-1175	100	78	)	)	PUNCT
ejpam-1175	100	79	and	and	CCONJ
ejpam-1175	100	80	∆1,∆1	∆1,∆1	NOUN
ejpam-1175	100	81	′,∆2,∆2	′,∆2,∆2	NOUN
ejpam-1175	100	82	′	′	NUM
ejpam-1175	100	83	are	be	AUX
ejpam-1175	100	84	four	four	NUM
ejpam-1175	100	85	characteristics	characteristic	NOUN
ejpam-1175	100	86	,	,	PUNCT
ejpam-1175	100	87	so	so	SCONJ
ejpam-1175	100	88	that	that	SCONJ
ejpam-1175	100	89	:	:	PUNCT
ejpam-1175	100	90	∆1	∆1	PROPN
ejpam-1175	100	91	:	:	PUNCT
ejpam-1175	101	1	∫	∫	PROPN
ejpam-1175	101	2	x	x	PUNCT
ejpam-1175	101	3	−2	−2	PROPN
ejpam-1175	102	1	p	p	X
ejpam-1175	102	2	m(t)d	m(t)d	PROPN
ejpam-1175	102	3	t	t	PROPN
ejpam-1175	103	1	=	=	PUNCT
ejpam-1175	104	1	−	−	PROPN
ejpam-1175	104	2	∫	∫	PROPN
ejpam-1175	104	3	y	y	PROPN
ejpam-1175	104	4	1	1	NUM
ejpam-1175	104	5	p	p	PROPN
ejpam-1175	104	6	−k(t)d	−k(t)d	PROPN
ejpam-1175	104	7	t	t	PROPN
ejpam-1175	104	8	:	:	PUNCT
ejpam-1175	104	9	−2	−2	X
ejpam-1175	104	10	<	<	X
ejpam-1175	104	11	x	x	X
ejpam-1175	104	12	<	<	X
ejpam-1175	104	13	−1	−1	NOUN
ejpam-1175	104	14	,	,	PUNCT
ejpam-1175	104	15	1	1	NUM
ejpam-1175	104	16	2	2	NUM
ejpam-1175	104	17	<	<	X
ejpam-1175	104	18	y	y	X
ejpam-1175	104	19	<	<	X
ejpam-1175	104	20	1	1	NUM
ejpam-1175	104	21	,	,	PUNCT
ejpam-1175	104	22	emanating	emanate	VERB
ejpam-1175	104	23	from	from	ADP
ejpam-1175	104	24	a1	a1	NOUN
ejpam-1175	104	25	=	=	SYM
ejpam-1175	104	26	(	(	PUNCT
ejpam-1175	104	27	−2,1	−2,1	NOUN
ejpam-1175	104	28	)	)	PUNCT
ejpam-1175	104	29	,	,	PUNCT
ejpam-1175	104	30	∆1	∆1	PROPN
ejpam-1175	104	31	′	′	NUM
ejpam-1175	104	32	:	:	PUNCT
ejpam-1175	105	1	∫	∫	PROPN
ejpam-1175	105	2	x	x	PUNCT
ejpam-1175	105	3	−2	−2	PROPN
ejpam-1175	106	1	p	p	X
ejpam-1175	106	2	m(t)d	m(t)d	PROPN
ejpam-1175	106	3	t	t	PROPN
ejpam-1175	107	1	=	=	SYM
ejpam-1175	107	2	∫	∫	PROPN
ejpam-1175	108	1	y	y	PROPN
ejpam-1175	108	2	0	0	PROPN
ejpam-1175	109	1	p	p	PRON
ejpam-1175	109	2	−k(t)d	−k(t)d	PROPN
ejpam-1175	109	3	t	t	PROPN
ejpam-1175	109	4	:	:	PUNCT
ejpam-1175	109	5	−2	−2	X
ejpam-1175	109	6	<	<	X
ejpam-1175	109	7	x	x	X
ejpam-1175	109	8	<	<	X
ejpam-1175	109	9	−1	−1	NOUN
ejpam-1175	109	10	,	,	PUNCT
ejpam-1175	109	11	0	0	PUNCT
ejpam-1175	109	12	<	<	X
ejpam-1175	109	13	y	y	X
ejpam-1175	109	14	<	<	X
ejpam-1175	109	15	1	1	NUM
ejpam-1175	109	16	2	2	NUM
ejpam-1175	109	17	,	,	PUNCT
ejpam-1175	109	18	emanating	emanate	VERB
ejpam-1175	109	19	from	from	ADP
ejpam-1175	109	20	a2	a2	PROPN
ejpam-1175	109	21	=	=	SYM
ejpam-1175	109	22	(	(	PUNCT
ejpam-1175	109	23	−2,0	−2,0	NOUN
ejpam-1175	109	24	)	)	PUNCT
ejpam-1175	109	25	,	,	PUNCT
ejpam-1175	109	26	∆2	∆2	PROPN
ejpam-1175	109	27	:	:	PUNCT
ejpam-1175	109	28	∫	∫	PROPN
ejpam-1175	109	29	x	x	SYM
ejpam-1175	109	30	−1	−1	NOUN
ejpam-1175	109	31	p	p	PROPN
ejpam-1175	110	1	m(t)d	m(t)d	PROPN
ejpam-1175	110	2	t	t	PROPN
ejpam-1175	110	3	=	=	SYM
ejpam-1175	110	4	∫	∫	PROPN
ejpam-1175	110	5	y	y	PROPN
ejpam-1175	110	6	1	1	NUM
ejpam-1175	110	7	p	p	PROPN
ejpam-1175	110	8	−k(t)d	−k(t)d	PROPN
ejpam-1175	110	9	t	t	PROPN
ejpam-1175	110	10	:	:	PUNCT
ejpam-1175	111	1	−2	−2	X
ejpam-1175	111	2	<	<	X
ejpam-1175	111	3	x	x	X
ejpam-1175	111	4	<	<	X
ejpam-1175	111	5	−1	−1	NOUN
ejpam-1175	111	6	,	,	PUNCT
ejpam-1175	111	7	1	1	NUM
ejpam-1175	111	8	2	2	NUM
ejpam-1175	111	9	<	<	X
ejpam-1175	111	10	y	y	X
ejpam-1175	111	11	<	<	X
ejpam-1175	111	12	1	1	NUM
ejpam-1175	111	13	,	,	PUNCT
ejpam-1175	111	14	emanating	emanate	VERB
ejpam-1175	111	15	from	from	ADP
ejpam-1175	111	16	o1	o1	NOUN
ejpam-1175	111	17	′	′	NUM
ejpam-1175	111	18	=	=	SYM
ejpam-1175	111	19	(	(	PUNCT
ejpam-1175	111	20	−1,1	−1,1	NOUN
ejpam-1175	111	21	)	)	PUNCT
ejpam-1175	111	22	,	,	PUNCT
ejpam-1175	111	23	∆2	∆2	X
ejpam-1175	111	24	′	′	NUM
ejpam-1175	111	25	:	:	PUNCT
ejpam-1175	112	1	∫	∫	PROPN
ejpam-1175	112	2	x	x	SYM
ejpam-1175	112	3	−1	−1	NOUN
ejpam-1175	112	4	p	p	PROPN
ejpam-1175	113	1	m(t)d	m(t)d	PROPN
ejpam-1175	113	2	t	t	PROPN
ejpam-1175	113	3	=	=	PUNCT
ejpam-1175	114	1	−	−	PROPN
ejpam-1175	114	2	∫	∫	PROPN
ejpam-1175	114	3	y	y	PROPN
ejpam-1175	114	4	0	0	PROPN
ejpam-1175	115	1	p	p	PRON
ejpam-1175	115	2	−k(t)d	−k(t)d	PROPN
ejpam-1175	115	3	t	t	PROPN
ejpam-1175	115	4	:	:	PUNCT
ejpam-1175	115	5	−2	−2	X
ejpam-1175	115	6	<	<	X
ejpam-1175	115	7	x	x	X
ejpam-1175	115	8	<	<	X
ejpam-1175	115	9	−1,0	−1,0	X
ejpam-1175	115	10	<	<	X
ejpam-1175	115	11	y	y	X
ejpam-1175	115	12	<	<	X
ejpam-1175	115	13	1	1	NUM
ejpam-1175	115	14	2	2	NUM
ejpam-1175	115	15	,	,	PUNCT
ejpam-1175	115	16	emanating	emanate	VERB
ejpam-1175	115	17	from	from	ADP
ejpam-1175	115	18	o2	o2	PROPN
ejpam-1175	115	19	′	′	NUM
ejpam-1175	115	20	=	=	SYM
ejpam-1175	115	21	(	(	PUNCT
ejpam-1175	115	22	−1,0	−1,0	NOUN
ejpam-1175	115	23	)	)	PUNCT
ejpam-1175	115	24	,	,	PUNCT
ejpam-1175	115	25	where	where	SCONJ
ejpam-1175	115	26	m	m	VERB
ejpam-1175	115	27	=	=	SYM
ejpam-1175	115	28	m(x	m(x	PROPN
ejpam-1175	115	29	)	)	PUNCT
ejpam-1175	115	30	>	>	X
ejpam-1175	115	31	0	0	NUM
ejpam-1175	115	32	,	,	PUNCT
ejpam-1175	115	33	−2	−2	NOUN
ejpam-1175	115	34	<	<	X
ejpam-1175	115	35	x	x	X
ejpam-1175	115	36	<	<	X
ejpam-1175	115	37	−1	−1	NOUN
ejpam-1175	115	38	and	and	CCONJ
ejpam-1175	115	39	k	k	PROPN
ejpam-1175	115	40	=	=	SYM
ejpam-1175	115	41	k(y	k(y	PROPN
ejpam-1175	115	42	)	)	PUNCT
ejpam-1175	115	43	<	<	X
ejpam-1175	115	44	0	0	NUM
ejpam-1175	115	45	,	,	PUNCT
ejpam-1175	115	46	0	0	PUNCT
ejpam-1175	115	47	<	<	X
ejpam-1175	115	48	y	y	X
ejpam-1175	115	49	<	<	X
ejpam-1175	115	50	1	1	NUM
ejpam-1175	115	51	.	.	PUNCT
ejpam-1175	116	1	in	in	ADP
ejpam-1175	116	2	the	the	DET
ejpam-1175	116	3	lower	low	ADJ
ejpam-1175	116	4	hyperbolic	hyperbolic	ADJ
ejpam-1175	116	5	domain	domain	NOUN
ejpam-1175	116	6	g2	g2	PROPN
ejpam-1175	116	7	′′′	′′′	PUNCT
ejpam-1175	116	8	=	=	PRON
ejpam-1175	116	9	{	{	PUNCT
ejpam-1175	116	10	(	(	PUNCT
ejpam-1175	116	11	x	x	INTJ
ejpam-1175	116	12	,	,	PUNCT
ejpam-1175	116	13	y	y	PROPN
ejpam-1175	116	14	)	)	PUNCT
ejpam-1175	116	15	∈	∈	PROPN
ejpam-1175	117	1	d	d	NOUN
ejpam-1175	117	2	:	:	PUNCT
ejpam-1175	117	3	−1	−1	NOUN
ejpam-1175	117	4	<	<	X
ejpam-1175	117	5	x	x	X
ejpam-1175	117	6	<	<	X
ejpam-1175	117	7	0,−1	0,−1	PROPN
ejpam-1175	117	8	<	<	X
ejpam-1175	117	9	y	y	X
ejpam-1175	117	10	<	<	X
ejpam-1175	117	11	0	0	NUM
ejpam-1175	117	12	}	}	PUNCT
ejpam-1175	117	13	with	with	ADP
ejpam-1175	117	14	boundary	boundary	ADJ
ejpam-1175	117	15	∂	∂	NOUN
ejpam-1175	117	16	g2	g2	PROPN
ejpam-1175	117	17	′′′	′′′	PROPN
ejpam-1175	117	18	=	=	PUNCT
ejpam-1175	117	19	(	(	PUNCT
ejpam-1175	117	20	o2z2)∪	o2z2)∪	PROPN
ejpam-1175	117	21	(	(	PUNCT
ejpam-1175	117	22	o2	o2	PROPN
ejpam-1175	117	23	′e2)∪	′e2)∪	X
ejpam-1175	117	24	(	(	PUNCT
ejpam-1175	117	25	δ1	δ1	NOUN
ejpam-1175	117	26	∪δ1	∪δ1	NOUN
ejpam-1175	117	27	′)∪	′)∪	PROPN
ejpam-1175	117	28	(	(	PUNCT
ejpam-1175	117	29	δ2	δ2	VERB
ejpam-1175	117	30	∪δ2	∪δ2	NOUN
ejpam-1175	117	31	′	′	NOUN
ejpam-1175	117	32	)	)	PUNCT
ejpam-1175	117	33	,	,	PUNCT
ejpam-1175	117	34	where	where	SCONJ
ejpam-1175	117	35	o2z2	o2z2	X
ejpam-1175	117	36	,	,	PUNCT
ejpam-1175	117	37	o2	o2	ADJ
ejpam-1175	117	38	′e2	′e2	NOUN
ejpam-1175	117	39	are	be	AUX
ejpam-1175	117	40	two	two	NUM
ejpam-1175	117	41	parabolic	parabolic	ADJ
ejpam-1175	117	42	lines	line	NOUN
ejpam-1175	117	43	with	with	ADP
ejpam-1175	117	44	end	end	NOUN
ejpam-1175	117	45	points	point	NOUN
ejpam-1175	117	46	o2	o2	PROPN
ejpam-1175	117	47	=	=	SYM
ejpam-1175	117	48	(	(	PUNCT
ejpam-1175	117	49	0,0	0,0	NOUN
ejpam-1175	117	50	)	)	PUNCT
ejpam-1175	117	51	,	,	PUNCT
ejpam-1175	117	52	z2	z2	NOUN
ejpam-1175	117	53	=	=	SYM
ejpam-1175	117	54	(	(	PUNCT
ejpam-1175	117	55	0,−1	0,−1	PROPN
ejpam-1175	117	56	)	)	PUNCT
ejpam-1175	117	57	and	and	CCONJ
ejpam-1175	117	58	o2	o2	ADJ
ejpam-1175	117	59	′	′	NUM
ejpam-1175	117	60	=	=	SYM
ejpam-1175	117	61	(	(	PUNCT
ejpam-1175	117	62	−1,0	−1,0	NOUN
ejpam-1175	117	63	)	)	PUNCT
ejpam-1175	117	64	,	,	PUNCT
ejpam-1175	117	65	e2	e2	PROPN
ejpam-1175	117	66	=	=	SYM
ejpam-1175	117	67	(	(	PUNCT
ejpam-1175	117	68	−1,−1	−1,−1	NOUN
ejpam-1175	117	69	)	)	PUNCT
ejpam-1175	117	70	and	and	CCONJ
ejpam-1175	117	71	δ1,δ1	δ1,δ1	PROPN
ejpam-1175	117	72	′,δ2,δ2	′,δ2,δ2	PUNCT
ejpam-1175	118	1	′	′	NUM
ejpam-1175	118	2	are	be	AUX
ejpam-1175	118	3	four	four	NUM
ejpam-1175	118	4	characteristics	characteristic	NOUN
ejpam-1175	118	5	,	,	PUNCT
ejpam-1175	118	6	so	so	SCONJ
ejpam-1175	118	7	that	that	SCONJ
ejpam-1175	118	8	:	:	PUNCT
ejpam-1175	118	9	δ1	δ1	NOUN
ejpam-1175	118	10	:	:	PUNCT
ejpam-1175	118	11	∫	∫	PROPN
ejpam-1175	118	12	x	x	SYM
ejpam-1175	118	13	0	0	PUNCT
ejpam-1175	119	1	p	p	X
ejpam-1175	119	2	−m(t)d	−m(t)d	PROPN
ejpam-1175	119	3	t	t	PROPN
ejpam-1175	119	4	=	=	PUNCT
ejpam-1175	120	1	−	−	PROPN
ejpam-1175	120	2	∫	∫	PROPN
ejpam-1175	120	3	y	y	PROPN
ejpam-1175	120	4	−1	−1	NOUN
ejpam-1175	120	5	p	p	PROPN
ejpam-1175	120	6	k(t)d	k(t)d	PROPN
ejpam-1175	120	7	t	t	PROPN
ejpam-1175	120	8	:	:	PUNCT
ejpam-1175	120	9	−	−	PROPN
ejpam-1175	120	10	1	1	NUM
ejpam-1175	120	11	2	2	NUM
ejpam-1175	120	12	<	<	X
ejpam-1175	120	13	x	x	X
ejpam-1175	120	14	<	<	X
ejpam-1175	120	15	0	0	NUM
ejpam-1175	120	16	,	,	PUNCT
ejpam-1175	120	17	−1	−1	NOUN
ejpam-1175	120	18	<	<	X
ejpam-1175	120	19	y	y	X
ejpam-1175	120	20	<	<	X
ejpam-1175	120	21	0	0	PROPN
ejpam-1175	120	22	,	,	PUNCT
ejpam-1175	120	23	emanating	emanate	VERB
ejpam-1175	120	24	from	from	ADP
ejpam-1175	120	25	z2	z2	PROPN
ejpam-1175	120	26	=	=	SYM
ejpam-1175	120	27	(	(	PUNCT
ejpam-1175	120	28	0,−1	0,−1	PROPN
ejpam-1175	120	29	)	)	PUNCT
ejpam-1175	120	30	,	,	PUNCT
ejpam-1175	120	31	δ1	δ1	NOUN
ejpam-1175	120	32	′	′	NUM
ejpam-1175	120	33	:	:	PUNCT
ejpam-1175	120	34	∫	∫	PROPN
ejpam-1175	120	35	x	x	SYM
ejpam-1175	120	36	−1	−1	NOUN
ejpam-1175	120	37	p	p	PROPN
ejpam-1175	120	38	−m(t)d	−m(t)d	PROPN
ejpam-1175	120	39	t	t	PROPN
ejpam-1175	120	40	=	=	SYM
ejpam-1175	120	41	∫	∫	PROPN
ejpam-1175	120	42	y	y	PROPN
ejpam-1175	120	43	−1	−1	NOUN
ejpam-1175	120	44	p	p	PROPN
ejpam-1175	120	45	k(t)d	k(t)d	PROPN
ejpam-1175	120	46	t	t	PROPN
ejpam-1175	120	47	:	:	PUNCT
ejpam-1175	120	48	−1	−1	NOUN
ejpam-1175	120	49	<	<	X
ejpam-1175	120	50	x	x	X
ejpam-1175	120	51	<	<	X
ejpam-1175	120	52	−	−	PROPN
ejpam-1175	120	53	1	1	NUM
ejpam-1175	120	54	2	2	NUM
ejpam-1175	120	55	,	,	PUNCT
ejpam-1175	120	56	−1	−1	NOUN
ejpam-1175	120	57	<	<	X
ejpam-1175	120	58	y	y	X
ejpam-1175	120	59	<	<	X
ejpam-1175	120	60	0	0	PROPN
ejpam-1175	120	61	,	,	PUNCT
ejpam-1175	120	62	emanating	emanate	VERB
ejpam-1175	120	63	from	from	ADP
ejpam-1175	120	64	e2	e2	PROPN
ejpam-1175	120	65	=	=	PUNCT
ejpam-1175	120	66	(	(	PUNCT
ejpam-1175	120	67	−1,−1	−1,−1	NOUN
ejpam-1175	120	68	)	)	PUNCT
ejpam-1175	120	69	,	,	PUNCT
ejpam-1175	120	70	δ2	δ2	VERB
ejpam-1175	120	71	:	:	PUNCT
ejpam-1175	120	72	∫	∫	PROPN
ejpam-1175	120	73	x	x	SYM
ejpam-1175	120	74	0	0	PUNCT
ejpam-1175	120	75	p	p	X
ejpam-1175	120	76	−m(t)d	−m(t)d	PROPN
ejpam-1175	120	77	t	t	PROPN
ejpam-1175	120	78	=	=	SYM
ejpam-1175	120	79	∫	∫	PROPN
ejpam-1175	120	80	y	y	PROPN
ejpam-1175	120	81	0	0	NUM
ejpam-1175	121	1	p	p	NOUN
ejpam-1175	121	2	k(t)d	k(t)d	PROPN
ejpam-1175	121	3	t	t	PROPN
ejpam-1175	121	4	:	:	PUNCT
ejpam-1175	121	5	−	−	PROPN
ejpam-1175	121	6	1	1	NUM
ejpam-1175	121	7	2	2	NUM
ejpam-1175	121	8	<	<	X
ejpam-1175	121	9	x	x	X
ejpam-1175	121	10	<	<	X
ejpam-1175	121	11	0	0	NUM
ejpam-1175	121	12	,	,	PUNCT
ejpam-1175	121	13	−1	−1	NOUN
ejpam-1175	121	14	<	<	X
ejpam-1175	121	15	y	y	X
ejpam-1175	121	16	<	<	X
ejpam-1175	121	17	0	0	PROPN
ejpam-1175	121	18	,	,	PUNCT
ejpam-1175	121	19	emanating	emanate	VERB
ejpam-1175	121	20	from	from	ADP
ejpam-1175	121	21	o2	o2	PROPN
ejpam-1175	121	22	=	=	SYM
ejpam-1175	121	23	(	(	PUNCT
ejpam-1175	121	24	0,0	0,0	NOUN
ejpam-1175	121	25	)	)	PUNCT
ejpam-1175	121	26	,	,	PUNCT
ejpam-1175	121	27	δ2	δ2	VERB
ejpam-1175	121	28	′	′	NUM
ejpam-1175	121	29	:	:	PUNCT
ejpam-1175	121	30	∫	∫	PROPN
ejpam-1175	121	31	x	x	SYM
ejpam-1175	121	32	−1	−1	NOUN
ejpam-1175	121	33	p	p	PROPN
ejpam-1175	121	34	−m(t)d	−m(t)d	PROPN
ejpam-1175	121	35	t	t	PROPN
ejpam-1175	121	36	=	=	PUNCT
ejpam-1175	122	1	−	−	PROPN
ejpam-1175	122	2	∫	∫	PROPN
ejpam-1175	122	3	y	y	PROPN
ejpam-1175	122	4	0	0	PROPN
ejpam-1175	123	1	p	p	NOUN
ejpam-1175	123	2	k(t)d	k(t)d	PROPN
ejpam-1175	123	3	t	t	PROPN
ejpam-1175	123	4	:	:	PUNCT
ejpam-1175	123	5	−1	−1	NOUN
ejpam-1175	123	6	<	<	X
ejpam-1175	123	7	x	x	X
ejpam-1175	123	8	<	<	X
ejpam-1175	123	9	−	−	PROPN
ejpam-1175	123	10	1	1	NUM
ejpam-1175	123	11	2	2	NUM
ejpam-1175	123	12	,	,	PUNCT
ejpam-1175	123	13	−1	−1	NOUN
ejpam-1175	123	14	<	<	X
ejpam-1175	123	15	y	y	X
ejpam-1175	123	16	<	<	X
ejpam-1175	123	17	0	0	PROPN
ejpam-1175	123	18	,	,	PUNCT
ejpam-1175	123	19	starting	start	VERB
ejpam-1175	123	20	from	from	ADP
ejpam-1175	123	21	o2	o2	PROPN
ejpam-1175	123	22	′	′	NUM
ejpam-1175	123	23	=	=	SYM
ejpam-1175	123	24	(	(	PUNCT
ejpam-1175	123	25	−1,0	−1,0	NOUN
ejpam-1175	123	26	)	)	PUNCT
ejpam-1175	123	27	,	,	PUNCT
ejpam-1175	123	28	where	where	SCONJ
ejpam-1175	123	29	m	m	VERB
ejpam-1175	123	30	=	=	SYM
ejpam-1175	123	31	m(x	m(x	PROPN
ejpam-1175	123	32	)	)	PUNCT
ejpam-1175	123	33	<	<	X
ejpam-1175	123	34	0	0	NUM
ejpam-1175	123	35	,	,	PUNCT
ejpam-1175	123	36	−1	−1	NOUN
ejpam-1175	123	37	<	<	X
ejpam-1175	123	38	x	x	X
ejpam-1175	123	39	<	<	X
ejpam-1175	123	40	0	0	PUNCT
ejpam-1175	123	41	and	and	CCONJ
ejpam-1175	123	42	k	k	PROPN
ejpam-1175	123	43	=	=	SYM
ejpam-1175	123	44	k(y	k(y	PROPN
ejpam-1175	123	45	)	)	PUNCT
ejpam-1175	123	46	>	>	X
ejpam-1175	123	47	0	0	NUM
ejpam-1175	123	48	,	,	PUNCT
ejpam-1175	123	49	1	1	NUM
ejpam-1175	123	50	<	<	X
ejpam-1175	123	51	y	y	X
ejpam-1175	123	52	<	<	X
ejpam-1175	123	53	2	2	NUM
ejpam-1175	123	54	.	.	PUNCT
ejpam-1175	124	1	in	in	ADP
ejpam-1175	124	2	the	the	DET
ejpam-1175	124	3	upper	upper	ADJ
ejpam-1175	124	4	right	right	ADJ
ejpam-1175	124	5	elliptic	elliptic	ADJ
ejpam-1175	124	6	domain	domain	NOUN
ejpam-1175	124	7	g1	g1	NOUN
ejpam-1175	124	8	=	=	SYM
ejpam-1175	124	9	{	{	PUNCT
ejpam-1175	124	10	(	(	PUNCT
ejpam-1175	124	11	x	x	INTJ
ejpam-1175	124	12	,	,	PUNCT
ejpam-1175	124	13	y	y	PROPN
ejpam-1175	124	14	)	)	PUNCT
ejpam-1175	124	15	∈	∈	PROPN
ejpam-1175	125	1	d	d	NOUN
ejpam-1175	125	2	:	:	PUNCT
ejpam-1175	125	3	x	x	SYM
ejpam-1175	125	4	>	>	X
ejpam-1175	125	5	0	0	PROPN
ejpam-1175	125	6	,	,	PUNCT
ejpam-1175	125	7	y	y	PROPN
ejpam-1175	125	8	>	>	X
ejpam-1175	125	9	1	1	NUM
ejpam-1175	125	10	}	}	PUNCT
ejpam-1175	125	11	with	with	ADP
ejpam-1175	125	12	boundary	boundary	ADJ
ejpam-1175	125	13	∂	∂	NOUN
ejpam-1175	125	14	g1	g1	PROPN
ejpam-1175	125	15	=	=	SYM
ejpam-1175	125	16	(	(	PUNCT
ejpam-1175	125	17	o1b1)∪	o1b1)∪	X
ejpam-1175	125	18	(	(	PUNCT
ejpam-1175	125	19	o1z1)∪	o1z1)∪	NOUN
ejpam-1175	125	20	γ0	γ0	NOUN
ejpam-1175	125	21	,	,	PUNCT
ejpam-1175	125	22	where	where	SCONJ
ejpam-1175	125	23	o1b1	o1b1	X
ejpam-1175	125	24	,	,	PUNCT
ejpam-1175	125	25	o1z1	o1z1	X
ejpam-1175	125	26	are	be	AUX
ejpam-1175	125	27	two	two	NUM
ejpam-1175	125	28	parabolic	parabolic	ADJ
ejpam-1175	125	29	lines	line	NOUN
ejpam-1175	125	30	with	with	ADP
ejpam-1175	125	31	end	end	NOUN
ejpam-1175	125	32	points	point	NOUN
ejpam-1175	125	33	o1	o1	NOUN
ejpam-1175	125	34	=	=	SYM
ejpam-1175	125	35	(	(	PUNCT
ejpam-1175	125	36	0,1	0,1	NUM
ejpam-1175	125	37	)	)	PUNCT
ejpam-1175	125	38	,	,	PUNCT
ejpam-1175	125	39	b1	b1	NOUN
ejpam-1175	125	40	=	=	SYM
ejpam-1175	125	41	(	(	PUNCT
ejpam-1175	125	42	1,1	1,1	NUM
ejpam-1175	125	43	)	)	PUNCT
ejpam-1175	125	44	and	and	CCONJ
ejpam-1175	125	45	o1	o1	NOUN
ejpam-1175	125	46	=	=	SYM
ejpam-1175	125	47	(	(	PUNCT
ejpam-1175	125	48	0,1	0,1	NUM
ejpam-1175	125	49	)	)	PUNCT
ejpam-1175	125	50	,	,	PUNCT
ejpam-1175	125	51	z1	z1	NOUN
ejpam-1175	125	52	=	=	SYM
ejpam-1175	125	53	(	(	PUNCT
ejpam-1175	125	54	0,2	0,2	NUM
ejpam-1175	125	55	)	)	PUNCT
ejpam-1175	125	56	and	and	CCONJ
ejpam-1175	125	57	γ0	γ0	NOUN
ejpam-1175	125	58	is	be	AUX
ejpam-1175	125	59	the	the	DET
ejpam-1175	125	60	upper	upper	ADJ
ejpam-1175	125	61	right	right	ADJ
ejpam-1175	125	62	elliptic	elliptic	ADJ
ejpam-1175	125	63	arc	arc	NOUN
ejpam-1175	125	64	connecting	connect	VERB
ejpam-1175	125	65	points	point	NOUN
ejpam-1175	125	66	b1	b1	NOUN
ejpam-1175	125	67	=	=	SYM
ejpam-1175	125	68	(	(	PUNCT
ejpam-1175	125	69	1,1	1,1	NUM
ejpam-1175	125	70	)	)	PUNCT
ejpam-1175	125	71	and	and	CCONJ
ejpam-1175	125	72	z1	z1	PROPN
ejpam-1175	125	73	=	=	SYM
ejpam-1175	125	74	(	(	PUNCT
ejpam-1175	125	75	0,2	0,2	NUM
ejpam-1175	125	76	)	)	PUNCT
ejpam-1175	125	77	.	.	PUNCT
ejpam-1175	126	1	in	in	ADP
ejpam-1175	126	2	the	the	DET
ejpam-1175	126	3	lower	low	ADJ
ejpam-1175	126	4	right	right	ADJ
ejpam-1175	126	5	elliptic	elliptic	ADJ
ejpam-1175	126	6	domain	domain	NOUN
ejpam-1175	126	7	g1	g1	NOUN
ejpam-1175	126	8	′	′	NUM
ejpam-1175	126	9	=	=	SYM
ejpam-1175	126	10	{	{	PUNCT
ejpam-1175	126	11	(	(	PUNCT
ejpam-1175	126	12	x	x	INTJ
ejpam-1175	126	13	,	,	PUNCT
ejpam-1175	126	14	y	y	PROPN
ejpam-1175	126	15	)	)	PUNCT
ejpam-1175	126	16	∈	∈	PROPN
ejpam-1175	127	1	d	d	NOUN
ejpam-1175	127	2	:	:	PUNCT
ejpam-1175	127	3	x	x	SYM
ejpam-1175	127	4	>	>	X
ejpam-1175	127	5	0	0	PROPN
ejpam-1175	127	6	,	,	PUNCT
ejpam-1175	127	7	y	y	PROPN
ejpam-1175	127	8	<	<	X
ejpam-1175	127	9	0	0	NUM
ejpam-1175	127	10	}	}	PUNCT
ejpam-1175	127	11	with	with	ADP
ejpam-1175	127	12	boundary	boundary	ADJ
ejpam-1175	127	13	∂	∂	NOUN
ejpam-1175	127	14	g1	g1	PROPN
ejpam-1175	127	15	′	′	NUM
ejpam-1175	127	16	=	=	PUNCT
ejpam-1175	127	17	(	(	PUNCT
ejpam-1175	127	18	o2b2	o2b2	NOUN
ejpam-1175	127	19	)	)	PUNCT
ejpam-1175	127	20	∪	∪	X
ejpam-1175	127	21	(	(	PUNCT
ejpam-1175	127	22	o2z2	o2z2	NOUN
ejpam-1175	127	23	)	)	PUNCT
ejpam-1175	127	24	∪	∪	ADP
ejpam-1175	127	25	γ0	γ0	NOUN
ejpam-1175	127	26	′	′	NOUN
ejpam-1175	127	27	,	,	PUNCT
ejpam-1175	127	28	where	where	SCONJ
ejpam-1175	127	29	o2b2	o2b2	X
ejpam-1175	127	30	,	,	PUNCT
ejpam-1175	127	31	o2z2	o2z2	X
ejpam-1175	127	32	are	be	AUX
ejpam-1175	127	33	two	two	NUM
ejpam-1175	127	34	parabolic	parabolic	ADJ
ejpam-1175	127	35	lines	line	NOUN
ejpam-1175	127	36	with	with	ADP
ejpam-1175	127	37	end	end	NOUN
ejpam-1175	127	38	points	point	NOUN
ejpam-1175	127	39	o2	o2	PROPN
ejpam-1175	127	40	=	=	SYM
ejpam-1175	127	41	(	(	PUNCT
ejpam-1175	127	42	0,0	0,0	NOUN
ejpam-1175	127	43	)	)	PUNCT
ejpam-1175	127	44	,	,	PUNCT
ejpam-1175	127	45	b2	b2	NOUN
ejpam-1175	127	46	=	=	SYM
ejpam-1175	127	47	(	(	PUNCT
ejpam-1175	127	48	1,0	1,0	NUM
ejpam-1175	127	49	)	)	PUNCT
ejpam-1175	127	50	and	and	CCONJ
ejpam-1175	127	51	o2	o2	PROPN
ejpam-1175	127	52	=	=	SYM
ejpam-1175	127	53	(	(	PUNCT
ejpam-1175	127	54	0,0	0,0	NOUN
ejpam-1175	127	55	)	)	PUNCT
ejpam-1175	127	56	,	,	PUNCT
ejpam-1175	127	57	z2	z2	NOUN
ejpam-1175	127	58	=	=	SYM
ejpam-1175	127	59	(	(	PUNCT
ejpam-1175	127	60	0,−1	0,−1	PROPN
ejpam-1175	127	61	)	)	PUNCT
ejpam-1175	127	62	and	and	CCONJ
ejpam-1175	127	63	γ0	γ0	NOUN
ejpam-1175	127	64	′	′	NUM
ejpam-1175	127	65	is	be	AUX
ejpam-1175	127	66	the	the	DET
ejpam-1175	127	67	lower	low	ADJ
ejpam-1175	127	68	right	right	ADJ
ejpam-1175	127	69	elliptic	elliptic	ADJ
ejpam-1175	127	70	arc	arc	NOUN
ejpam-1175	127	71	connecting	connect	VERB
ejpam-1175	127	72	points	point	NOUN
ejpam-1175	127	73	b2	b2	NOUN
ejpam-1175	127	74	=	=	SYM
ejpam-1175	127	75	(	(	PUNCT
ejpam-1175	127	76	1,0	1,0	NUM
ejpam-1175	127	77	)	)	PUNCT
ejpam-1175	127	78	and	and	CCONJ
ejpam-1175	127	79	z2	z2	PROPN
ejpam-1175	127	80	=	=	SYM
ejpam-1175	127	81	(	(	PUNCT
ejpam-1175	127	82	0,−1	0,−1	PROPN
ejpam-1175	127	83	)	)	PUNCT
ejpam-1175	127	84	.	.	PUNCT
ejpam-1175	128	1	in	in	ADP
ejpam-1175	128	2	the	the	DET
ejpam-1175	128	3	upper	upper	ADJ
ejpam-1175	128	4	left	left	ADJ
ejpam-1175	128	5	elliptic	elliptic	ADJ
ejpam-1175	128	6	domain	domain	NOUN
ejpam-1175	128	7	g1	g1	NOUN
ejpam-1175	128	8	′′	′′	NOUN
ejpam-1175	128	9	=	=	PRON
ejpam-1175	128	10	{	{	PUNCT
ejpam-1175	128	11	(	(	PUNCT
ejpam-1175	128	12	x	x	INTJ
ejpam-1175	128	13	,	,	PUNCT
ejpam-1175	128	14	y	y	PROPN
ejpam-1175	128	15	)	)	PUNCT
ejpam-1175	128	16	∈	∈	PROPN
ejpam-1175	128	17	d	d	NOUN
ejpam-1175	128	18	:	:	PUNCT
ejpam-1175	128	19	x	x	X
ejpam-1175	128	20	<	<	X
ejpam-1175	128	21	−1	−1	NOUN
ejpam-1175	128	22	,	,	PUNCT
ejpam-1175	128	23	y	y	PROPN
ejpam-1175	128	24	>	>	X
ejpam-1175	128	25	1	1	NUM
ejpam-1175	128	26	}	}	PUNCT
ejpam-1175	128	27	with	with	ADP
ejpam-1175	128	28	boundary	boundary	ADJ
ejpam-1175	128	29	∂	∂	NOUN
ejpam-1175	128	30	g1	g1	NOUN
ejpam-1175	128	31	′′	′′	PROPN
ejpam-1175	128	32	=	=	SYM
ejpam-1175	128	33	(	(	PUNCT
ejpam-1175	128	34	o1	o1	NOUN
ejpam-1175	128	35	′e1	′e1	NUM
ejpam-1175	128	36	)	)	PUNCT
ejpam-1175	128	37	∪	∪	NOUN
ejpam-1175	128	38	(	(	PUNCT
ejpam-1175	128	39	o1	o1	NOUN
ejpam-1175	128	40	′a1	′a1	NOUN
ejpam-1175	128	41	)	)	PUNCT
ejpam-1175	128	42	∪	∪	VERB
ejpam-1175	128	43	γ0	γ0	PROPN
ejpam-1175	128	44	′′	′′	PROPN
ejpam-1175	128	45	,	,	PUNCT
ejpam-1175	128	46	j.	j.	PROPN
ejpam-1175	128	47	rassias	rassias	PROPN
ejpam-1175	128	48	/	/	SYM
ejpam-1175	128	49	eur	eur	PROPN
ejpam-1175	128	50	.	.	PUNCT
ejpam-1175	129	1	j.	j.	PROPN
ejpam-1175	129	2	pure	pure	PROPN
ejpam-1175	129	3	appl	appl	PROPN
ejpam-1175	129	4	.	.	PROPN
ejpam-1175	129	5	math	math	PROPN
ejpam-1175	129	6	,	,	PUNCT
ejpam-1175	129	7	4	4	NUM
ejpam-1175	129	8	(	(	PUNCT
ejpam-1175	129	9	2011	2011	NUM
ejpam-1175	129	10	)	)	PUNCT
ejpam-1175	129	11	,	,	PUNCT
ejpam-1175	129	12	186	186	NUM
ejpam-1175	129	13	-	-	SYM
ejpam-1175	129	14	208	208	NUM
ejpam-1175	129	15	192	192	NUM
ejpam-1175	129	16	where	where	SCONJ
ejpam-1175	129	17	o1	o1	NOUN
ejpam-1175	129	18	′e1	′e1	NOUN
ejpam-1175	129	19	,	,	PUNCT
ejpam-1175	129	20	o1	o1	NOUN
ejpam-1175	129	21	′a1	′a1	NOUN
ejpam-1175	129	22	are	be	AUX
ejpam-1175	129	23	two	two	NUM
ejpam-1175	129	24	parabolic	parabolic	ADJ
ejpam-1175	129	25	lines	line	NOUN
ejpam-1175	129	26	with	with	ADP
ejpam-1175	129	27	end	end	NOUN
ejpam-1175	129	28	points	point	NOUN
ejpam-1175	129	29	o1	o1	NOUN
ejpam-1175	129	30	′	′	NUM
ejpam-1175	130	1	=	=	SYM
ejpam-1175	131	1	(	(	PUNCT
ejpam-1175	131	2	−1,1	−1,1	INTJ
ejpam-1175	131	3	)	)	PUNCT
ejpam-1175	131	4	,	,	PUNCT
ejpam-1175	131	5	e1	e1	NOUN
ejpam-1175	131	6	=	=	SYM
ejpam-1175	131	7	(	(	PUNCT
ejpam-1175	131	8	−1,2	−1,2	NOUN
ejpam-1175	131	9	)	)	PUNCT
ejpam-1175	131	10	and	and	CCONJ
ejpam-1175	131	11	o1	o1	NOUN
ejpam-1175	131	12	′	′	NUM
ejpam-1175	131	13	=	=	SYM
ejpam-1175	131	14	(	(	PUNCT
ejpam-1175	131	15	−1,1	−1,1	INTJ
ejpam-1175	131	16	)	)	PUNCT
ejpam-1175	131	17	,	,	PUNCT
ejpam-1175	131	18	a1	a1	NOUN
ejpam-1175	131	19	=	=	SYM
ejpam-1175	131	20	(	(	PUNCT
ejpam-1175	131	21	−2,1	−2,1	NOUN
ejpam-1175	131	22	)	)	PUNCT
ejpam-1175	131	23	and	and	CCONJ
ejpam-1175	131	24	γ0	γ0	NOUN
ejpam-1175	131	25	′′	′′	PROPN
ejpam-1175	131	26	is	be	AUX
ejpam-1175	131	27	the	the	DET
ejpam-1175	131	28	upper	upper	ADJ
ejpam-1175	131	29	left	left	ADJ
ejpam-1175	131	30	elliptic	elliptic	ADJ
ejpam-1175	131	31	arc	arc	NOUN
ejpam-1175	131	32	connecting	connect	VERB
ejpam-1175	131	33	points	point	NOUN
ejpam-1175	131	34	a1	a1	NOUN
ejpam-1175	131	35	=	=	SYM
ejpam-1175	131	36	(	(	PUNCT
ejpam-1175	131	37	−2,1	−2,1	NOUN
ejpam-1175	131	38	)	)	PUNCT
ejpam-1175	131	39	and	and	CCONJ
ejpam-1175	131	40	e1	e1	PROPN
ejpam-1175	131	41	=	=	SYM
ejpam-1175	131	42	(	(	PUNCT
ejpam-1175	131	43	−1,2	−1,2	NOUN
ejpam-1175	131	44	)	)	PUNCT
ejpam-1175	131	45	.	.	PUNCT
ejpam-1175	132	1	in	in	ADP
ejpam-1175	132	2	the	the	DET
ejpam-1175	132	3	lower	low	ADJ
ejpam-1175	132	4	left	left	ADJ
ejpam-1175	132	5	elliptic	elliptic	ADJ
ejpam-1175	132	6	domain	domain	NOUN
ejpam-1175	132	7	g1	g1	NOUN
ejpam-1175	132	8	′′′	′′′	PUNCT
ejpam-1175	132	9	=	=	PRON
ejpam-1175	132	10	{	{	PUNCT
ejpam-1175	132	11	(	(	PUNCT
ejpam-1175	132	12	x	x	INTJ
ejpam-1175	132	13	,	,	PUNCT
ejpam-1175	132	14	y	y	PROPN
ejpam-1175	132	15	)	)	PUNCT
ejpam-1175	132	16	∈	∈	PROPN
ejpam-1175	133	1	d	d	NOUN
ejpam-1175	133	2	:	:	PUNCT
ejpam-1175	133	3	x	x	X
ejpam-1175	133	4	<	<	X
ejpam-1175	133	5	−1	−1	NOUN
ejpam-1175	133	6	,	,	PUNCT
ejpam-1175	133	7	y	y	PROPN
ejpam-1175	133	8	<	<	X
ejpam-1175	133	9	0	0	NUM
ejpam-1175	133	10	}	}	PUNCT
ejpam-1175	133	11	with	with	ADP
ejpam-1175	133	12	boundary	boundary	ADJ
ejpam-1175	133	13	∂	∂	NOUN
ejpam-1175	133	14	g1	g1	PROPN
ejpam-1175	133	15	′′′	′′′	PUNCT
ejpam-1175	133	16	=	=	PUNCT
ejpam-1175	133	17	(	(	PUNCT
ejpam-1175	133	18	o2	o2	PROPN
ejpam-1175	133	19	′a2	′a2	NOUN
ejpam-1175	133	20	)	)	PUNCT
ejpam-1175	133	21	∪	∪	NOUN
ejpam-1175	133	22	(	(	PUNCT
ejpam-1175	133	23	o2	o2	ADJ
ejpam-1175	133	24	′e2	′e2	NOUN
ejpam-1175	133	25	)	)	PUNCT
ejpam-1175	133	26	∪	∪	PROPN
ejpam-1175	133	27	γ0	γ0	PROPN
ejpam-1175	133	28	′′′	′′′	PROPN
ejpam-1175	133	29	,	,	PUNCT
ejpam-1175	133	30	where	where	SCONJ
ejpam-1175	133	31	o2	o2	PROPN
ejpam-1175	133	32	′e2	′e2	NOUN
ejpam-1175	133	33	,	,	PUNCT
ejpam-1175	133	34	o2	o2	PROPN
ejpam-1175	133	35	′a2	′a2	NOUN
ejpam-1175	133	36	are	be	AUX
ejpam-1175	133	37	two	two	NUM
ejpam-1175	133	38	parabolic	parabolic	ADJ
ejpam-1175	133	39	lines	line	NOUN
ejpam-1175	133	40	with	with	ADP
ejpam-1175	133	41	end	end	NOUN
ejpam-1175	133	42	points	point	NOUN
ejpam-1175	133	43	o2	o2	PROPN
ejpam-1175	133	44	′	′	NUM
ejpam-1175	133	45	=	=	SYM
ejpam-1175	133	46	(	(	PUNCT
ejpam-1175	133	47	−1,0	−1,0	NOUN
ejpam-1175	133	48	)	)	PUNCT
ejpam-1175	133	49	,	,	PUNCT
ejpam-1175	133	50	e2	e2	PROPN
ejpam-1175	133	51	=	=	SYM
ejpam-1175	133	52	(	(	PUNCT
ejpam-1175	133	53	−1,−1	−1,−1	NOUN
ejpam-1175	133	54	)	)	PUNCT
ejpam-1175	133	55	and	and	CCONJ
ejpam-1175	133	56	o2	o2	PROPN
ejpam-1175	133	57	′	′	NUM
ejpam-1175	134	1	=	=	PUNCT
ejpam-1175	135	1	(	(	PUNCT
ejpam-1175	135	2	−1,0),a2	−1,0),a2	NOUN
ejpam-1175	135	3	=	=	SYM
ejpam-1175	135	4	(	(	PUNCT
ejpam-1175	135	5	−2,0	−2,0	INTJ
ejpam-1175	135	6	)	)	PUNCT
ejpam-1175	135	7	and	and	CCONJ
ejpam-1175	135	8	γ0	γ0	NOUN
ejpam-1175	135	9	′′′	′′′	PROPN
ejpam-1175	135	10	is	be	AUX
ejpam-1175	135	11	the	the	DET
ejpam-1175	135	12	lower	low	ADJ
ejpam-1175	135	13	left	left	ADJ
ejpam-1175	135	14	elliptic	elliptic	ADJ
ejpam-1175	135	15	arc	arc	NOUN
ejpam-1175	135	16	connecting	connect	VERB
ejpam-1175	135	17	points	point	NOUN
ejpam-1175	135	18	a2	a2	PROPN
ejpam-1175	135	19	=	=	SYM
ejpam-1175	135	20	(	(	PUNCT
ejpam-1175	135	21	−2,0	−2,0	INTJ
ejpam-1175	135	22	)	)	PUNCT
ejpam-1175	135	23	and	and	CCONJ
ejpam-1175	135	24	e2	e2	PROPN
ejpam-1175	135	25	=	=	SYM
ejpam-1175	135	26	(	(	PUNCT
ejpam-1175	135	27	−1,−1	−1,−1	NOUN
ejpam-1175	135	28	)	)	PUNCT
ejpam-1175	135	29	.	.	PUNCT
ejpam-1175	136	1	let	let	VERB
ejpam-1175	136	2	us	we	PRON
ejpam-1175	136	3	consider	consider	VERB
ejpam-1175	136	4	the	the	DET
ejpam-1175	136	5	intersection	intersection	NOUN
ejpam-1175	136	6	points	point	NOUN
ejpam-1175	136	7	of	of	ADP
ejpam-1175	136	8	the	the	DET
ejpam-1175	136	9	hyperbolic	hyperbolic	ADJ
ejpam-1175	136	10	characteristics	characteristic	NOUN
ejpam-1175	136	11	:	:	PUNCT
ejpam-1175	136	12	γ1	γ1	PROPN
ejpam-1175	136	13	∩	∩	ADJ
ejpam-1175	136	14	γ1	γ1	NOUN
ejpam-1175	136	15	′	′	NUM
ejpam-1175	136	16	=	=	SYM
ejpam-1175	136	17	{	{	PUNCT
ejpam-1175	136	18	p1	p1	PROPN
ejpam-1175	136	19	}	}	PUNCT
ejpam-1175	136	20	,	,	PUNCT
ejpam-1175	136	21	where	where	SCONJ
ejpam-1175	136	22	p1	p1	PROPN
ejpam-1175	136	23	=	=	SYM
ejpam-1175	136	24	(	(	PUNCT
ejpam-1175	136	25	x1	x1	PROPN
ejpam-1175	136	26	,	,	PUNCT
ejpam-1175	136	27	1	1	NUM
ejpam-1175	136	28	2	2	NUM
ejpam-1175	136	29	)	)	PUNCT
ejpam-1175	136	30	,	,	PUNCT
ejpam-1175	136	31	0	0	PUNCT
ejpam-1175	136	32	<	<	X
ejpam-1175	137	1	x1	x1	PRON
ejpam-1175	137	2	<	<	X
ejpam-1175	137	3	1	1	NUM
ejpam-1175	137	4	;	;	PUNCT
ejpam-1175	137	5	γ2	γ2	PROPN
ejpam-1175	137	6	∩	∩	NOUN
ejpam-1175	137	7	γ2	γ2	NOUN
ejpam-1175	137	8	′	′	NUM
ejpam-1175	137	9	=	=	SYM
ejpam-1175	137	10	{	{	PUNCT
ejpam-1175	137	11	p2	p2	X
ejpam-1175	137	12	}	}	PUNCT
ejpam-1175	137	13	,	,	PUNCT
ejpam-1175	137	14	where	where	SCONJ
ejpam-1175	137	15	p2	p2	X
ejpam-1175	137	16	=	=	SYM
ejpam-1175	137	17	(	(	PUNCT
ejpam-1175	137	18	x2	x2	PROPN
ejpam-1175	137	19	,	,	PUNCT
ejpam-1175	137	20	1	1	NUM
ejpam-1175	137	21	2	2	NUM
ejpam-1175	137	22	)	)	PUNCT
ejpam-1175	137	23	,	,	PUNCT
ejpam-1175	138	1	0	0	PUNCT
ejpam-1175	138	2	<	<	X
ejpam-1175	138	3	x1	x1	PRON
ejpam-1175	138	4	<	<	X
ejpam-1175	138	5	1	1	NUM
ejpam-1175	138	6	2	2	NUM
ejpam-1175	138	7	<	<	X
ejpam-1175	138	8	x2	x2	X
ejpam-1175	138	9	<	<	X
ejpam-1175	138	10	1;∆1∩∆1	1;∆1∩∆1	NUM
ejpam-1175	138	11	′	′	NUM
ejpam-1175	138	12	=	=	SYM
ejpam-1175	138	13	{	{	PUNCT
ejpam-1175	138	14	p1	p1	PROPN
ejpam-1175	138	15	′	′	NOUN
ejpam-1175	138	16	}	}	PUNCT
ejpam-1175	138	17	,	,	PUNCT
ejpam-1175	138	18	where	where	SCONJ
ejpam-1175	138	19	p1	p1	NOUN
ejpam-1175	138	20	′	′	NUM
ejpam-1175	139	1	=	=	SYM
ejpam-1175	140	1	(	(	PUNCT
ejpam-1175	140	2	x1	x1	PROPN
ejpam-1175	140	3	′	′	NOUN
ejpam-1175	140	4	,	,	PUNCT
ejpam-1175	140	5	1	1	NUM
ejpam-1175	140	6	2	2	NUM
ejpam-1175	140	7	)	)	PUNCT
ejpam-1175	140	8	,	,	PUNCT
ejpam-1175	140	9	−2	−2	NOUN
ejpam-1175	140	10	<	<	X
ejpam-1175	140	11	x1	x1	NUM
ejpam-1175	141	1	′	′	NOUN
ejpam-1175	141	2	<	<	X
ejpam-1175	141	3	−1;∆2∩∆2	−1;∆2∩∆2	PROPN
ejpam-1175	141	4	′	′	NUM
ejpam-1175	141	5	=	=	SYM
ejpam-1175	141	6	{	{	PUNCT
ejpam-1175	141	7	p2	p2	PROPN
ejpam-1175	141	8	′	′	NOUN
ejpam-1175	141	9	}	}	PUNCT
ejpam-1175	141	10	,	,	PUNCT
ejpam-1175	141	11	where	where	SCONJ
ejpam-1175	141	12	p2	p2	PROPN
ejpam-1175	141	13	′	′	NUM
ejpam-1175	142	1	=	=	SYM
ejpam-1175	143	1	(	(	PUNCT
ejpam-1175	143	2	x2	x2	PROPN
ejpam-1175	143	3	′	′	NOUN
ejpam-1175	143	4	,	,	PUNCT
ejpam-1175	143	5	1	1	NUM
ejpam-1175	143	6	2	2	NUM
ejpam-1175	143	7	)	)	PUNCT
ejpam-1175	143	8	,	,	PUNCT
ejpam-1175	143	9	−2	−2	NOUN
ejpam-1175	143	10	<	<	X
ejpam-1175	143	11	x1	x1	PROPN
ejpam-1175	144	1	′	′	NUM
ejpam-1175	144	2	<	<	X
ejpam-1175	144	3	−3	−3	PROPN
ejpam-1175	144	4	2	2	NUM
ejpam-1175	144	5	<	<	X
ejpam-1175	144	6	x2	x2	NOUN
ejpam-1175	144	7	′	′	NUM
ejpam-1175	144	8	<	<	X
ejpam-1175	144	9	−1	−1	NOUN
ejpam-1175	144	10	;	;	PUNCT
ejpam-1175	144	11	γ1	γ1	PROPN
ejpam-1175	144	12	∩	∩	ADJ
ejpam-1175	144	13	γ1	γ1	NOUN
ejpam-1175	144	14	′	′	NUM
ejpam-1175	144	15	=	=	SYM
ejpam-1175	144	16	{	{	PUNCT
ejpam-1175	144	17	q1	q1	NOUN
ejpam-1175	144	18	}	}	PUNCT
ejpam-1175	144	19	,	,	PUNCT
ejpam-1175	144	20	where	where	SCONJ
ejpam-1175	144	21	q1	q1	PROPN
ejpam-1175	144	22	=	=	SYM
ejpam-1175	144	23	(	(	PUNCT
ejpam-1175	144	24	−	−	PROPN
ejpam-1175	144	25	1	1	NUM
ejpam-1175	144	26	2	2	NUM
ejpam-1175	144	27	,	,	PUNCT
ejpam-1175	144	28	y1	y1	PROPN
ejpam-1175	144	29	)	)	PUNCT
ejpam-1175	144	30	,	,	PUNCT
ejpam-1175	144	31	1	1	NUM
ejpam-1175	144	32	<	<	X
ejpam-1175	144	33	y1	y1	X
ejpam-1175	144	34	<	<	X
ejpam-1175	144	35	2	2	NUM
ejpam-1175	144	36	;	;	PUNCT
ejpam-1175	144	37	γ2	γ2	PROPN
ejpam-1175	144	38	∩	∩	NOUN
ejpam-1175	144	39	γ2	γ2	NOUN
ejpam-1175	144	40	′	′	NUM
ejpam-1175	144	41	=	=	SYM
ejpam-1175	144	42	{	{	PUNCT
ejpam-1175	144	43	q2	q2	NOUN
ejpam-1175	144	44	}	}	PUNCT
ejpam-1175	144	45	,	,	PUNCT
ejpam-1175	144	46	where	where	SCONJ
ejpam-1175	144	47	q2	q2	NOUN
ejpam-1175	144	48	=	=	SYM
ejpam-1175	144	49	(	(	PUNCT
ejpam-1175	144	50	−	−	PROPN
ejpam-1175	144	51	1	1	NUM
ejpam-1175	144	52	2	2	NUM
ejpam-1175	144	53	,	,	PUNCT
ejpam-1175	144	54	y2	y2	PROPN
ejpam-1175	144	55	)	)	PUNCT
ejpam-1175	144	56	,	,	PUNCT
ejpam-1175	144	57	1	1	NUM
ejpam-1175	144	58	<	<	X
ejpam-1175	144	59	y1	y1	X
ejpam-1175	144	60	<	<	X
ejpam-1175	144	61	3	3	NUM
ejpam-1175	144	62	2	2	NUM
ejpam-1175	144	63	<	<	X
ejpam-1175	144	64	y2	y2	NOUN
ejpam-1175	144	65	<	<	X
ejpam-1175	144	66	2	2	NUM
ejpam-1175	144	67	;	;	PUNCT
ejpam-1175	144	68	δ1	δ1	NOUN
ejpam-1175	144	69	∩	∩	ADJ
ejpam-1175	144	70	δ1	δ1	NOUN
ejpam-1175	144	71	′	′	NUM
ejpam-1175	144	72	=	=	SYM
ejpam-1175	144	73	{	{	PUNCT
ejpam-1175	144	74	q1	q1	NOUN
ejpam-1175	144	75	′	′	PROPN
ejpam-1175	144	76	}	}	PUNCT
ejpam-1175	144	77	,	,	PUNCT
ejpam-1175	144	78	where	where	SCONJ
ejpam-1175	144	79	q1	q1	PROPN
ejpam-1175	144	80	′	′	NUM
ejpam-1175	144	81	=	=	PUNCT
ejpam-1175	144	82	(	(	PUNCT
ejpam-1175	144	83	−1	−1	NOUN
ejpam-1175	144	84	2	2	NUM
ejpam-1175	144	85	,	,	PUNCT
ejpam-1175	144	86	y1	y1	NOUN
ejpam-1175	144	87	′	′	NOUN
ejpam-1175	144	88	)	)	PUNCT
ejpam-1175	144	89	,	,	PUNCT
ejpam-1175	144	90	−1	−1	NOUN
ejpam-1175	144	91	<	<	X
ejpam-1175	144	92	y1	y1	NOUN
ejpam-1175	145	1	′	′	NUM
ejpam-1175	145	2	<	<	X
ejpam-1175	145	3	0	0	NUM
ejpam-1175	145	4	;	;	PUNCT
ejpam-1175	145	5	δ2	δ2	ADJ
ejpam-1175	145	6	∩δ2	∩δ2	NOUN
ejpam-1175	145	7	′	′	NUM
ejpam-1175	145	8	=	=	SYM
ejpam-1175	145	9	{	{	PUNCT
ejpam-1175	145	10	q2	q2	NOUN
ejpam-1175	145	11	′	′	PROPN
ejpam-1175	145	12	}	}	PUNCT
ejpam-1175	145	13	,	,	PUNCT
ejpam-1175	145	14	where	where	SCONJ
ejpam-1175	145	15	q2	q2	NOUN
ejpam-1175	145	16	′	′	NUM
ejpam-1175	146	1	=	=	PUNCT
ejpam-1175	147	1	(	(	PUNCT
ejpam-1175	147	2	−1	−1	NOUN
ejpam-1175	147	3	2	2	NUM
ejpam-1175	147	4	,	,	PUNCT
ejpam-1175	147	5	y2	y2	NOUN
ejpam-1175	147	6	′	′	NOUN
ejpam-1175	147	7	)	)	PUNCT
ejpam-1175	147	8	,	,	PUNCT
ejpam-1175	147	9	−1	−1	NOUN
ejpam-1175	147	10	<	<	X
ejpam-1175	147	11	y1	y1	NOUN
ejpam-1175	148	1	′	′	NUM
ejpam-1175	148	2	<	<	X
ejpam-1175	148	3	−1	−1	NOUN
ejpam-1175	148	4	2	2	NUM
ejpam-1175	148	5	<	<	X
ejpam-1175	148	6	y2	y2	NOUN
ejpam-1175	149	1	′	′	NUM
ejpam-1175	149	2	<	<	X
ejpam-1175	150	1	0	0	X
ejpam-1175	150	2	.	.	PUNCT
ejpam-1175	151	1	if	if	SCONJ
ejpam-1175	151	2	we	we	PRON
ejpam-1175	151	3	denote	denote	VERB
ejpam-1175	151	4	θ	θ	NOUN
ejpam-1175	151	5	=	=	SYM
ejpam-1175	151	6	θ(x	θ(x	PROPN
ejpam-1175	151	7	)	)	PUNCT
ejpam-1175	152	1	=	=	SYM
ejpam-1175	152	2	p	p	NOUN
ejpam-1175	152	3	|m(x)|	|m(x)|	NOUN
ejpam-1175	152	4	,	,	PUNCT
ejpam-1175	152	5	h	h	NOUN
ejpam-1175	152	6	=	=	SYM
ejpam-1175	152	7	h(y	h(y	ADJ
ejpam-1175	152	8	)	)	PUNCT
ejpam-1175	152	9	=	=	SYM
ejpam-1175	153	1	p	p	X
ejpam-1175	153	2	|k(y)|	|k(y)|	PROPN
ejpam-1175	153	3	,	,	PUNCT
ejpam-1175	153	4	we	we	PRON
ejpam-1175	153	5	set	set	VERB
ejpam-1175	153	6	d1(x	d1(x	NOUN
ejpam-1175	153	7	)	)	PUNCT
ejpam-1175	153	8	=	=	SYM
ejpam-1175	154	1	∫	∫	PROPN
ejpam-1175	154	2	x	x	SYM
ejpam-1175	154	3	0	0	NUM
ejpam-1175	154	4	θ(t)d	θ(t)d	PROPN
ejpam-1175	154	5	t	t	PROPN
ejpam-1175	154	6	,	,	PUNCT
ejpam-1175	154	7	d2(x	d2(x	PROPN
ejpam-1175	154	8	)	)	PUNCT
ejpam-1175	154	9	=	=	SYM
ejpam-1175	155	1	∫	∫	PROPN
ejpam-1175	155	2	x	x	SYM
ejpam-1175	155	3	1	1	NUM
ejpam-1175	155	4	θ(t)d	θ(t)d	VERB
ejpam-1175	155	5	t	t	PROPN
ejpam-1175	155	6	,	,	PUNCT
ejpam-1175	155	7	d3(x	d3(x	PROPN
ejpam-1175	155	8	)	)	PUNCT
ejpam-1175	155	9	=	=	SYM
ejpam-1175	156	1	∫	∫	PROPN
ejpam-1175	156	2	x	x	SYM
ejpam-1175	156	3	−1	−1	PROPN
ejpam-1175	156	4	θ(t)d	θ(t)d	PROPN
ejpam-1175	156	5	t	t	PROPN
ejpam-1175	156	6	,	,	PUNCT
ejpam-1175	156	7	d4(x	d4(x	PROPN
ejpam-1175	156	8	)	)	PUNCT
ejpam-1175	156	9	=	=	SYM
ejpam-1175	157	1	∫	∫	PROPN
ejpam-1175	157	2	x	x	SYM
ejpam-1175	157	3	−2	−2	PROPN
ejpam-1175	157	4	θ(t)d	θ(t)d	VERB
ejpam-1175	157	5	t	t	PROPN
ejpam-1175	157	6	,	,	PUNCT
ejpam-1175	157	7	g1(y	g1(y	PROPN
ejpam-1175	157	8	)	)	PUNCT
ejpam-1175	157	9	=	=	SYM
ejpam-1175	158	1	∫	∫	PROPN
ejpam-1175	158	2	y	y	PROPN
ejpam-1175	158	3	0	0	PUNCT
ejpam-1175	159	1	h(t)d	h(t)d	PROPN
ejpam-1175	159	2	t	t	PROPN
ejpam-1175	159	3	,	,	PUNCT
ejpam-1175	159	4	g2(y	g2(y	PROPN
ejpam-1175	159	5	)	)	PUNCT
ejpam-1175	159	6	=	=	SYM
ejpam-1175	160	1	∫	∫	PROPN
ejpam-1175	160	2	y	y	PROPN
ejpam-1175	160	3	1	1	NUM
ejpam-1175	160	4	h(t)d	h(t)d	PROPN
ejpam-1175	160	5	t	t	PROPN
ejpam-1175	160	6	,	,	PUNCT
ejpam-1175	160	7	g3(y	g3(y	PROPN
ejpam-1175	160	8	)	)	PUNCT
ejpam-1175	160	9	=	=	SYM
ejpam-1175	161	1	∫	∫	PROPN
ejpam-1175	161	2	y	y	PROPN
ejpam-1175	161	3	−1	−1	NOUN
ejpam-1175	162	1	h(t)d	h(t)d	PROPN
ejpam-1175	162	2	t	t	PROPN
ejpam-1175	162	3	,	,	PUNCT
ejpam-1175	162	4	g4(y	g4(y	X
ejpam-1175	162	5	)	)	PUNCT
ejpam-1175	162	6	=	=	SYM
ejpam-1175	163	1	∫	∫	PROPN
ejpam-1175	164	1	y	y	PROPN
ejpam-1175	164	2	2	2	NUM
ejpam-1175	164	3	h(t)d	h(t)d	PROPN
ejpam-1175	164	4	t.	t.	NOUN
ejpam-1175	164	5	domains	domain	NOUN
ejpam-1175	164	6	g1	g1	PROPN
ejpam-1175	164	7	,	,	PUNCT
ejpam-1175	164	8	g2	g2	PROPN
ejpam-1175	164	9	differ	differ	VERB
ejpam-1175	164	10	in	in	ADP
ejpam-1175	164	11	notation	notation	NOUN
ejpam-1175	164	12	from	from	ADP
ejpam-1175	164	13	functions	function	NOUN
ejpam-1175	164	14	g1(y	g1(y	NUM
ejpam-1175	164	15	)	)	PUNCT
ejpam-1175	164	16	,	,	PUNCT
ejpam-1175	164	17	g2(y	g2(y	NOUN
ejpam-1175	164	18	)	)	PUNCT
ejpam-1175	164	19	.	.	PUNCT
ejpam-1175	165	1	thus	thus	ADV
ejpam-1175	165	2	,	,	PUNCT
ejpam-1175	165	3	we	we	PRON
ejpam-1175	165	4	have	have	VERB
ejpam-1175	165	5	the	the	DET
ejpam-1175	165	6	following	follow	VERB
ejpam-1175	165	7	equations	equation	NOUN
ejpam-1175	165	8	for	for	ADP
ejpam-1175	165	9	the	the	DET
ejpam-1175	165	10	hyperbolic	hyperbolic	ADJ
ejpam-1175	165	11	characteristics	characteristic	NOUN
ejpam-1175	165	12	γ1	γ1	PROPN
ejpam-1175	165	13	∪	∪	PROPN
ejpam-1175	165	14	γ1	γ1	PROPN
ejpam-1175	165	15	:	:	PUNCT
ejpam-1175	165	16	d1(x	d1(x	NUM
ejpam-1175	165	17	)	)	PUNCT
ejpam-1175	165	18	=	=	SYM
ejpam-1175	165	19	−g2(y	−g2(y	PROPN
ejpam-1175	165	20	)	)	PUNCT
ejpam-1175	165	21	,	,	PUNCT
ejpam-1175	165	22	γ1	γ1	NOUN
ejpam-1175	165	23	′	′	NUM
ejpam-1175	165	24	∪	∪	PROPN
ejpam-1175	165	25	γ1	γ1	PROPN
ejpam-1175	165	26	′	′	NUM
ejpam-1175	165	27	:	:	PUNCT
ejpam-1175	166	1	g2(y	g2(y	X
ejpam-1175	166	2	)	)	PUNCT
ejpam-1175	166	3	=	=	SYM
ejpam-1175	166	4	¨	¨	NOUN
ejpam-1175	166	5	d1(x	d1(x	NOUN
ejpam-1175	166	6	)	)	PUNCT
ejpam-1175	166	7	on	on	ADP
ejpam-1175	166	8	γ1	γ1	PROPN
ejpam-1175	166	9	′	′	NUM
ejpam-1175	166	10	d3(x	d3(x	PROPN
ejpam-1175	166	11	)	)	PUNCT
ejpam-1175	166	12	on	on	ADP
ejpam-1175	166	13	γ1	γ1	PROPN
ejpam-1175	166	14	′	′	NUM
ejpam-1175	166	15	,	,	PUNCT
ejpam-1175	166	16	γ2	γ2	PROPN
ejpam-1175	166	17	∪	∪	ADP
ejpam-1175	166	18	γ2	γ2	PROPN
ejpam-1175	166	19	:	:	PUNCT
ejpam-1175	166	20	¨	¨	NOUN
ejpam-1175	167	1	d2(x	d2(x	PROPN
ejpam-1175	167	2	)	)	PUNCT
ejpam-1175	167	3	=	=	SYM
ejpam-1175	167	4	g2(y	g2(y	PROPN
ejpam-1175	167	5	)	)	PUNCT
ejpam-1175	167	6	on	on	ADP
ejpam-1175	167	7	γ2	γ2	PROPN
ejpam-1175	167	8	d1(x	d1(x	PROPN
ejpam-1175	167	9	)	)	PUNCT
ejpam-1175	167	10	=	=	SYM
ejpam-1175	167	11	g4(y	g4(y	PROPN
ejpam-1175	167	12	)	)	PUNCT
ejpam-1175	167	13	on	on	ADP
ejpam-1175	167	14	γ2	γ2	PROPN
ejpam-1175	167	15	,	,	PUNCT
ejpam-1175	167	16	γ2	γ2	PROPN
ejpam-1175	167	17	′	′	NUM
ejpam-1175	167	18	∪	∪	VERB
ejpam-1175	167	19	γ2	γ2	PROPN
ejpam-1175	167	20	′	′	NUM
ejpam-1175	167	21	:	:	PUNCT
ejpam-1175	168	1	¨	¨	X
ejpam-1175	168	2	d2(x	d2(x	PROPN
ejpam-1175	168	3	)	)	PUNCT
ejpam-1175	168	4	=	=	SYM
ejpam-1175	168	5	−g1(y	−g1(y	PROPN
ejpam-1175	168	6	)	)	PUNCT
ejpam-1175	168	7	on	on	ADP
ejpam-1175	168	8	γ2	γ2	PROPN
ejpam-1175	168	9	′	′	NUM
ejpam-1175	168	10	d3(x	d3(x	PROPN
ejpam-1175	168	11	)	)	PUNCT
ejpam-1175	168	12	=	=	SYM
ejpam-1175	168	13	−g4(y	−g4(y	PROPN
ejpam-1175	168	14	)	)	PUNCT
ejpam-1175	168	15	on	on	ADP
ejpam-1175	168	16	γ2	γ2	PROPN
ejpam-1175	168	17	′	′	NUM
ejpam-1175	168	18	∆1	∆1	PUNCT
ejpam-1175	168	19	∪δ1	∪δ1	NOUN
ejpam-1175	168	20	:	:	PUNCT
ejpam-1175	168	21	¨	¨	NOUN
ejpam-1175	168	22	d4(x	d4(x	PROPN
ejpam-1175	168	23	)	)	PUNCT
ejpam-1175	168	24	=	=	SYM
ejpam-1175	168	25	−g2(y	−g2(y	PROPN
ejpam-1175	168	26	)	)	PUNCT
ejpam-1175	168	27	on	on	ADP
ejpam-1175	168	28	∆1	∆1	NUM
ejpam-1175	168	29	d1(x	d1(x	NOUN
ejpam-1175	168	30	)	)	PUNCT
ejpam-1175	168	31	=	=	SYM
ejpam-1175	168	32	−g3(y	−g3(y	PROPN
ejpam-1175	168	33	)	)	PUNCT
ejpam-1175	168	34	on	on	ADP
ejpam-1175	168	35	δ1	δ1	NOUN
ejpam-1175	168	36	,	,	PUNCT
ejpam-1175	168	37	∆1	∆1	PROPN
ejpam-1175	168	38	′	′	NOUN
ejpam-1175	168	39	∪δ1	∪δ1	NOUN
ejpam-1175	169	1	′	′	NUM
ejpam-1175	169	2	:	:	PUNCT
ejpam-1175	169	3	¨	¨	X
ejpam-1175	169	4	d4(x	d4(x	X
ejpam-1175	169	5	)	)	PUNCT
ejpam-1175	169	6	=	=	SYM
ejpam-1175	169	7	g1(y	g1(y	PROPN
ejpam-1175	169	8	)	)	PUNCT
ejpam-1175	169	9	on	on	ADP
ejpam-1175	169	10	∆1	∆1	PROPN
ejpam-1175	169	11	′	′	NUM
ejpam-1175	169	12	d3(x	d3(x	PROPN
ejpam-1175	169	13	)	)	PUNCT
ejpam-1175	169	14	=	=	SYM
ejpam-1175	169	15	g3(y	g3(y	PROPN
ejpam-1175	169	16	)	)	PUNCT
ejpam-1175	169	17	on	on	ADP
ejpam-1175	169	18	δ1	δ1	NOUN
ejpam-1175	169	19	′	′	NUM
ejpam-1175	169	20	∆2	∆2	PROPN
ejpam-1175	170	1	∪δ2	∪δ2	PRON
ejpam-1175	170	2	:	:	PUNCT
ejpam-1175	170	3	¨	¨	NOUN
ejpam-1175	170	4	d3(x	d3(x	PROPN
ejpam-1175	170	5	)	)	PUNCT
ejpam-1175	170	6	=	=	SYM
ejpam-1175	170	7	g2(y	g2(y	PROPN
ejpam-1175	170	8	)	)	PUNCT
ejpam-1175	170	9	on	on	ADP
ejpam-1175	170	10	∆2	∆2	PROPN
ejpam-1175	170	11	d1(x	d1(x	PROPN
ejpam-1175	170	12	)	)	PUNCT
ejpam-1175	170	13	=	=	SYM
ejpam-1175	170	14	g1(y	g1(y	PROPN
ejpam-1175	170	15	)	)	PUNCT
ejpam-1175	170	16	on	on	ADP
ejpam-1175	170	17	δ2	δ2	VERB
ejpam-1175	170	18	,	,	PUNCT
ejpam-1175	170	19	∆2	∆2	PROPN
ejpam-1175	170	20	′	′	NUM
ejpam-1175	170	21	∪δ2	∪δ2	NOUN
ejpam-1175	170	22	′	′	NUM
ejpam-1175	170	23	:	:	PUNCT
ejpam-1175	170	24	d3(x	d3(x	X
ejpam-1175	170	25	)	)	PUNCT
ejpam-1175	170	26	=	=	PUNCT
ejpam-1175	170	27	|g1(y)|	|g1(y)|	PROPN
ejpam-1175	170	28	.	.	PUNCT
ejpam-1175	171	1	note	note	VERB
ejpam-1175	171	2	that	that	SCONJ
ejpam-1175	171	3	:	:	PUNCT
ejpam-1175	171	4	j.	j.	PROPN
ejpam-1175	171	5	rassias	rassias	PROPN
ejpam-1175	171	6	/	/	SYM
ejpam-1175	171	7	eur	eur	PROPN
ejpam-1175	171	8	.	.	PUNCT
ejpam-1175	172	1	j.	j.	PROPN
ejpam-1175	172	2	pure	pure	PROPN
ejpam-1175	172	3	appl	appl	PROPN
ejpam-1175	172	4	.	.	PROPN
ejpam-1175	172	5	math	math	PROPN
ejpam-1175	172	6	,	,	PUNCT
ejpam-1175	172	7	4	4	NUM
ejpam-1175	172	8	(	(	PUNCT
ejpam-1175	172	9	2011	2011	NUM
ejpam-1175	172	10	)	)	PUNCT
ejpam-1175	172	11	,	,	PUNCT
ejpam-1175	172	12	186	186	NUM
ejpam-1175	172	13	-	-	SYM
ejpam-1175	172	14	208	208	NUM
ejpam-1175	172	15	193	193	NUM
ejpam-1175	172	16	1	1	NUM
ejpam-1175	172	17	)	)	PUNCT
ejpam-1175	172	18	the	the	DET
ejpam-1175	172	19	boundary	boundary	ADJ
ejpam-1175	172	20	∂	∂	NOUN
ejpam-1175	172	21	d	d	NOUN
ejpam-1175	172	22	is	be	AUX
ejpam-1175	172	23	assumed	assume	VERB
ejpam-1175	172	24	to	to	PART
ejpam-1175	172	25	be	be	AUX
ejpam-1175	172	26	a	a	DET
ejpam-1175	172	27	piecewise	piecewise	NOUN
ejpam-1175	172	28	continuously	continuously	ADV
ejpam-1175	172	29	differentiable	differentiable	ADJ
ejpam-1175	172	30	arc	arc	NOUN
ejpam-1175	172	31	.	.	PUNCT
ejpam-1175	173	1	the	the	DET
ejpam-1175	173	2	elliptic	elliptic	ADJ
ejpam-1175	173	3	arcs	arc	NOUN
ejpam-1175	173	4	are	be	AUX
ejpam-1175	173	5	“	"	PUNCT
ejpam-1175	173	6	star	star	NOUN
ejpam-1175	173	7	-	-	PUNCT
ejpam-1175	173	8	shaped	shape	VERB
ejpam-1175	173	9	”	"	PUNCT
ejpam-1175	173	10	(	(	PUNCT
ejpam-1175	173	11	counterclockwise	counterclockwise	PROPN
ejpam-1175	173	12	)	)	PUNCT
ejpam-1175	173	13	.	.	PUNCT
ejpam-1175	174	1	2	2	X
ejpam-1175	174	2	)	)	PUNCT
ejpam-1175	174	3	we	we	PRON
ejpam-1175	174	4	consider	consider	VERB
ejpam-1175	174	5	continuous	continuous	ADJ
ejpam-1175	174	6	solutions	solution	NOUN
ejpam-1175	174	7	u	u	NOUN
ejpam-1175	174	8	of	of	ADP
ejpam-1175	174	9	the	the	DET
ejpam-1175	174	10	quaterelliptic	quaterelliptic	ADJ
ejpam-1175	174	11	-	-	PUNCT
ejpam-1175	174	12	quaterhyperbolic	quaterhyperbolic	ADJ
ejpam-1175	174	13	equation	equation	NOUN
ejpam-1175	174	14	(	(	PUNCT
ejpam-1175	174	15	1	1	NUM
ejpam-1175	174	16	)	)	PUNCT
ejpam-1175	174	17	with	with	ADP
ejpam-1175	174	18	eight	eight	NUM
ejpam-1175	174	19	parabolic	parabolic	ADJ
ejpam-1175	174	20	lines	line	NOUN
ejpam-1175	174	21	,	,	PUNCT
ejpam-1175	174	22	which	which	PRON
ejpam-1175	174	23	have	have	VERB
ejpam-1175	174	24	the	the	DET
ejpam-1175	174	25	property	property	NOUN
ejpam-1175	174	26	that	that	PRON
ejpam-1175	174	27	ux	ux	INTJ
ejpam-1175	174	28	,	,	PUNCT
ejpam-1175	174	29	uy	uy	PROPN
ejpam-1175	174	30	are	be	AUX
ejpam-1175	174	31	continuous	continuous	ADJ
ejpam-1175	174	32	in	in	ADP
ejpam-1175	174	33	the	the	DET
ejpam-1175	174	34	closure	closure	NOUN
ejpam-1175	174	35	d̄	d̄	NOUN
ejpam-1175	174	36	=	=	PUNCT
ejpam-1175	175	1	d	d	X
ejpam-1175	175	2	∪	∪	ADP
ejpam-1175	175	3	∂	∂	NUM
ejpam-1175	175	4	d.	d.	NOUN
ejpam-1175	175	5	these	these	DET
ejpam-1175	175	6	continuity	continuity	NOUN
ejpam-1175	175	7	conditions	condition	NOUN
ejpam-1175	175	8	may	may	AUX
ejpam-1175	175	9	be	be	AUX
ejpam-1175	175	10	weakened	weaken	VERB
ejpam-1175	175	11	at	at	ADP
ejpam-1175	175	12	the	the	DET
ejpam-1175	175	13	following	follow	VERB
ejpam-1175	175	14	eight	eight	NUM
ejpam-1175	175	15	points	point	NOUN
ejpam-1175	175	16	a1,a2	a1,a2	PROPN
ejpam-1175	175	17	,	,	PUNCT
ejpam-1175	175	18	b1	b1	NOUN
ejpam-1175	175	19	,	,	PUNCT
ejpam-1175	175	20	b2,o1,o2,o1	b2,o1,o2,o1	PROPN
ejpam-1175	175	21	′,o2	′,o2	NOUN
ejpam-1175	175	22	′	′	NOUN
ejpam-1175	175	23	,	,	PUNCT
ejpam-1175	175	24	by	by	ADP
ejpam-1175	175	25	considering	consider	VERB
ejpam-1175	175	26	ux	ux	PROPN
ejpam-1175	175	27	,	,	PUNCT
ejpam-1175	175	28	uy	uy	INTJ
ejpam-1175	175	29	continuous	continuous	ADJ
ejpam-1175	175	30	on	on	ADP
ejpam-1175	175	31	the	the	DET
ejpam-1175	175	32	boundary	boundary	ADJ
ejpam-1175	175	33	∂	∂	NOUN
ejpam-1175	175	34	d	d	NOUN
ejpam-1175	175	35	except	except	SCONJ
ejpam-1175	175	36	at	at	ADP
ejpam-1175	175	37	these	these	DET
ejpam-1175	175	38	points	point	NOUN
ejpam-1175	175	39	.	.	PUNCT
ejpam-1175	176	1	by	by	ADP
ejpam-1175	176	2	“	"	PUNCT
ejpam-1175	176	3	quaterelliptic	quaterelliptic	NOUN
ejpam-1175	176	4	”	"	PUNCT
ejpam-1175	176	5	and	and	CCONJ
ejpam-1175	176	6	“	"	PUNCT
ejpam-1175	176	7	quaterhyperbolic	quaterhyperbolic	ADJ
ejpam-1175	176	8	”	"	PUNCT
ejpam-1175	176	9	we	we	PRON
ejpam-1175	176	10	mean	mean	VERB
ejpam-1175	176	11	that	that	SCONJ
ejpam-1175	176	12	equation	equation	NOUN
ejpam-1175	176	13	(	(	PUNCT
ejpam-1175	176	14	1	1	X
ejpam-1175	176	15	)	)	PUNCT
ejpam-1175	176	16	is	be	AUX
ejpam-1175	176	17	elliptic	elliptic	ADJ
ejpam-1175	176	18	in	in	ADP
ejpam-1175	176	19	four	four	NUM
ejpam-1175	176	20	different	different	ADJ
ejpam-1175	176	21	subdomains	subdomain	NOUN
ejpam-1175	176	22	and	and	CCONJ
ejpam-1175	176	23	hyperbolic	hyperbolic	ADJ
ejpam-1175	176	24	in	in	ADP
ejpam-1175	176	25	four	four	NUM
ejpam-1175	176	26	other	other	ADJ
ejpam-1175	176	27	subdomains	subdomain	NOUN
ejpam-1175	176	28	of	of	ADP
ejpam-1175	176	29	the	the	DET
ejpam-1175	176	30	whole	whole	ADJ
ejpam-1175	176	31	domain	domain	NOUN
ejpam-1175	176	32	d.	d.	NOUN
ejpam-1175	176	33	in	in	ADP
ejpam-1175	176	34	fact	fact	NOUN
ejpam-1175	176	35	,	,	PUNCT
ejpam-1175	176	36	equation	equation	NOUN
ejpam-1175	176	37	(	(	PUNCT
ejpam-1175	176	38	1	1	X
ejpam-1175	176	39	)	)	PUNCT
ejpam-1175	176	40	is	be	AUX
ejpam-1175	176	41	elliptic	elliptic	ADJ
ejpam-1175	176	42	and	and	CCONJ
ejpam-1175	176	43	hyperbolic	hyperbolic	ADJ
ejpam-1175	176	44	in	in	ADP
ejpam-1175	176	45	g1	g1	PROPN
ejpam-1175	176	46	∪	∪	VERB
ejpam-1175	176	47	g1	g1	PROPN
ejpam-1175	176	48	′	′	NUM
ejpam-1175	176	49	∪	∪	ADJ
ejpam-1175	176	50	g1	g1	NOUN
ejpam-1175	176	51	′′	′′	PROPN
ejpam-1175	176	52	∪	∪	NOUN
ejpam-1175	176	53	g1	g1	PROPN
ejpam-1175	176	54	′′′	′′′	PROPN
ejpam-1175	177	1	and	and	CCONJ
ejpam-1175	177	2	g2	g2	PROPN
ejpam-1175	177	3	∪	∪	PROPN
ejpam-1175	177	4	g2	g2	PROPN
ejpam-1175	177	5	′	′	NUM
ejpam-1175	177	6	∪	∪	VERB
ejpam-1175	177	7	g2	g2	PROPN
ejpam-1175	177	8	′′	′′	PROPN
ejpam-1175	177	9	∪	∪	ADP
ejpam-1175	177	10	g2	g2	PROPN
ejpam-1175	177	11	′′′	′′′	PROPN
ejpam-1175	177	12	,	,	PUNCT
ejpam-1175	177	13	respectively	respectively	ADV
ejpam-1175	177	14	.	.	PUNCT
ejpam-1175	178	1	definition	definition	NOUN
ejpam-1175	178	2	3	3	NUM
ejpam-1175	178	3	.	.	PUNCT
ejpam-1175	179	1	a	a	DET
ejpam-1175	179	2	function	function	NOUN
ejpam-1175	179	3	u=	u=	ADV
ejpam-1175	179	4	u(x	u(x	NOUN
ejpam-1175	179	5	,	,	PUNCT
ejpam-1175	179	6	y	y	PROPN
ejpam-1175	179	7	)	)	PUNCT
ejpam-1175	179	8	is	be	AUX
ejpam-1175	179	9	a	a	DET
ejpam-1175	179	10	quasi	quasi	ADJ
ejpam-1175	179	11	-	-	ADJ
ejpam-1175	179	12	regular	regular	ADJ
ejpam-1175	179	13	solution	solution	NOUN
ejpam-1175	179	14	[	[	X
ejpam-1175	179	15	7,8,10	7,8,10	NUM
ejpam-1175	179	16	-	-	SYM
ejpam-1175	179	17	16	16	NUM
ejpam-1175	179	18	]	]	PUNCT
ejpam-1175	179	19	of	of	ADP
ejpam-1175	179	20	problem	problem	NOUN
ejpam-1175	179	21	(	(	PUNCT
ejpam-1175	179	22	et	et	NOUN
ejpam-1175	179	23	)	)	PUNCT
ejpam-1175	179	24	if	if	SCONJ
ejpam-1175	179	25	i	i	PRON
ejpam-1175	179	26	)	)	PUNCT
ejpam-1175	179	27	u	u	PROPN
ejpam-1175	179	28	∈	∈	PROPN
ejpam-1175	179	29	c2(d)∩	c2(d)∩	PROPN
ejpam-1175	179	30	c(d	c(d	PROPN
ejpam-1175	179	31	)	)	PUNCT
ejpam-1175	179	32	,	,	PUNCT
ejpam-1175	180	1	d	d	NOUN
ejpam-1175	180	2	=	=	SYM
ejpam-1175	180	3	d	d	X
ejpam-1175	180	4	∪	∪	ADP
ejpam-1175	180	5	∂	∂	NUM
ejpam-1175	180	6	d	d	NOUN
ejpam-1175	180	7	;	;	PUNCT
ejpam-1175	180	8	ii	ii	X
ejpam-1175	180	9	)	)	PUNCT
ejpam-1175	180	10	the	the	DET
ejpam-1175	180	11	green	green	PROPN
ejpam-1175	180	12	’s	’s	PART
ejpam-1175	180	13	theorem	theorem	NOUN
ejpam-1175	180	14	(	(	PUNCT
ejpam-1175	180	15	of	of	ADP
ejpam-1175	180	16	the	the	DET
ejpam-1175	180	17	integral	integral	ADJ
ejpam-1175	180	18	calculus	calculus	NOUN
ejpam-1175	180	19	)	)	PUNCT
ejpam-1175	180	20	is	be	AUX
ejpam-1175	180	21	applicable	applicable	ADJ
ejpam-1175	180	22	to	to	ADP
ejpam-1175	180	23	the	the	DET
ejpam-1175	180	24	integrals	integral	NOUN
ejpam-1175	181	1	∫∫	∫∫	PROPN
ejpam-1175	181	2	d	d	PROPN
ejpam-1175	181	3	ux	ux	X
ejpam-1175	181	4	lud	lud	INTJ
ejpam-1175	181	5	xd	xd	INTJ
ejpam-1175	181	6	y	y	PROPN
ejpam-1175	181	7	,	,	PUNCT
ejpam-1175	182	1	∫∫	∫∫	ADV
ejpam-1175	182	2	d	d	X
ejpam-1175	182	3	uy	uy	INTJ
ejpam-1175	182	4	lud	lud	PROPN
ejpam-1175	182	5	xd	xd	INTJ
ejpam-1175	182	6	y	y	PROPN
ejpam-1175	182	7	;	;	PUNCT
ejpam-1175	182	8	iii	iii	X
ejpam-1175	182	9	)	)	PUNCT
ejpam-1175	182	10	the	the	DET
ejpam-1175	182	11	boundary	boundary	ADJ
ejpam-1175	182	12	and	and	CCONJ
ejpam-1175	182	13	region	region	NOUN
ejpam-1175	182	14	integrals	integral	NOUN
ejpam-1175	182	15	,	,	PUNCT
ejpam-1175	182	16	which	which	PRON
ejpam-1175	182	17	arise	arise	VERB
ejpam-1175	182	18	,	,	PUNCT
ejpam-1175	182	19	exist	exist	VERB
ejpam-1175	182	20	;	;	PUNCT
ejpam-1175	182	21	and	and	CCONJ
ejpam-1175	182	22	iv	iv	X
ejpam-1175	182	23	)	)	PUNCT
ejpam-1175	182	24	u	u	NOUN
ejpam-1175	182	25	satisfies	satisfy	VERB
ejpam-1175	182	26	the	the	DET
ejpam-1175	182	27	mixed	mixed	ADJ
ejpam-1175	182	28	type	type	NOUN
ejpam-1175	182	29	equation	equation	NOUN
ejpam-1175	182	30	(	(	PUNCT
ejpam-1175	182	31	1	1	NUM
ejpam-1175	182	32	)	)	PUNCT
ejpam-1175	182	33	in	in	ADP
ejpam-1175	182	34	d	d	PROPN
ejpam-1175	182	35	and	and	CCONJ
ejpam-1175	182	36	the	the	DET
ejpam-1175	182	37	following	follow	VERB
ejpam-1175	182	38	boundary	boundary	ADJ
ejpam-1175	182	39	condition	condition	NOUN
ejpam-1175	182	40	on	on	ADP
ejpam-1175	182	41	the	the	DET
ejpam-1175	182	42	exterior	exterior	ADJ
ejpam-1175	182	43	boundary	boundary	ADJ
ejpam-1175	182	44	e	e	NOUN
ejpam-1175	182	45	x	x	NOUN
ejpam-1175	182	46	t(d	t(d	NOUN
ejpam-1175	182	47	)	)	PUNCT
ejpam-1175	182	48	:	:	PUNCT
ejpam-1175	182	49	u=	u=	NOUN
ejpam-1175	182	50			PROPN
ejpam-1175	182	51			X
ejpam-1175	182	52			PROPN
ejpam-1175	182	53			PROPN
ejpam-1175	182	54			PROPN
ejpam-1175	182	55			NOUN
ejpam-1175	182	56			PROPN
ejpam-1175	182	57			PROPN
ejpam-1175	182	58			PROPN
ejpam-1175	182	59			PROPN
ejpam-1175	182	60			NOUN
ejpam-1175	182	61	ϕ1(s	ϕ1(s	ADP
ejpam-1175	182	62	)	)	PUNCT
ejpam-1175	182	63	on	on	ADP
ejpam-1175	182	64	γ0	γ0	NOUN
ejpam-1175	182	65	;	;	PUNCT
ejpam-1175	182	66	ϕ2(s	ϕ2(s	X
ejpam-1175	182	67	)	)	PUNCT
ejpam-1175	182	68	on	on	ADP
ejpam-1175	182	69	γ0	γ0	PROPN
ejpam-1175	182	70	′	′	NUM
ejpam-1175	182	71	ϕ3(s	ϕ3(s	SYM
ejpam-1175	182	72	)	)	PUNCT
ejpam-1175	182	73	on	on	ADP
ejpam-1175	182	74	γ0	γ0	PROPN
ejpam-1175	182	75	′′	′′	PROPN
ejpam-1175	182	76	;	;	PUNCT
ejpam-1175	182	77	ϕ4(s	ϕ4(s	X
ejpam-1175	182	78	)	)	PUNCT
ejpam-1175	182	79	on	on	ADP
ejpam-1175	182	80	γ0	γ0	PROPN
ejpam-1175	182	81	′′′	′′′	PROPN
ejpam-1175	182	82	ψ1(x	ψ1(x	PROPN
ejpam-1175	182	83	)	)	PUNCT
ejpam-1175	182	84	on	on	ADP
ejpam-1175	182	85	γ2	γ2	PROPN
ejpam-1175	182	86	;	;	PUNCT
ejpam-1175	182	87	ψ2(x	ψ2(x	PROPN
ejpam-1175	182	88	)	)	PUNCT
ejpam-1175	182	89	on	on	ADP
ejpam-1175	182	90	γ2	γ2	PROPN
ejpam-1175	182	91	′	′	NUM
ejpam-1175	182	92	ψ3(x	ψ3(x	NOUN
ejpam-1175	182	93	)	)	PUNCT
ejpam-1175	182	94	on	on	ADP
ejpam-1175	182	95	γ2	γ2	PROPN
ejpam-1175	182	96	;	;	PUNCT
ejpam-1175	182	97	ψ4(x	ψ4(x	X
ejpam-1175	182	98	)	)	PUNCT
ejpam-1175	182	99	on	on	ADP
ejpam-1175	182	100	γ2	γ2	PROPN
ejpam-1175	182	101	′	′	NUM
ejpam-1175	182	102	ψ5(x	ψ5(x	NOUN
ejpam-1175	182	103	)	)	PUNCT
ejpam-1175	182	104	on	on	ADP
ejpam-1175	182	105	∆1	∆1	NOUN
ejpam-1175	182	106	;	;	PUNCT
ejpam-1175	182	107	ψ6(x	ψ6(x	PROPN
ejpam-1175	182	108	)	)	PUNCT
ejpam-1175	182	109	on	on	ADP
ejpam-1175	182	110	∆1	∆1	NUM
ejpam-1175	182	111	′	′	NUM
ejpam-1175	182	112	ψ7(x	ψ7(x	NOUN
ejpam-1175	182	113	)	)	PUNCT
ejpam-1175	182	114	on	on	ADP
ejpam-1175	182	115	δ1	δ1	NOUN
ejpam-1175	182	116	;	;	PUNCT
ejpam-1175	182	117	ψ8(x	ψ8(x	NOUN
ejpam-1175	182	118	)	)	PUNCT
ejpam-1175	182	119	on	on	ADP
ejpam-1175	182	120	δ1	δ1	NOUN
ejpam-1175	182	121	′	′	NUM
ejpam-1175	182	122	(	(	PUNCT
ejpam-1175	182	123	2	2	NUM
ejpam-1175	182	124	)	)	PUNCT
ejpam-1175	182	125	with	with	ADP
ejpam-1175	182	126	continuous	continuous	ADJ
ejpam-1175	182	127	prescribed	prescribed	ADJ
ejpam-1175	182	128	values	value	NOUN
ejpam-1175	182	129	.	.	PUNCT
ejpam-1175	183	1	the	the	DET
ejpam-1175	183	2	exterior	exterior	ADJ
ejpam-1175	183	3	tricomi	tricomi	NOUN
ejpam-1175	183	4	problem	problem	NOUN
ejpam-1175	183	5	or	or	CCONJ
ejpam-1175	183	6	problem	problem	NOUN
ejpam-1175	183	7	(	(	PUNCT
ejpam-1175	183	8	et	et	NOUN
ejpam-1175	183	9	):	):	PUNCT
ejpam-1175	183	10	consists	consist	VERB
ejpam-1175	183	11	of	of	ADP
ejpam-1175	183	12	finding	find	VERB
ejpam-1175	183	13	a	a	DET
ejpam-1175	183	14	solution	solution	NOUN
ejpam-1175	183	15	u	u	NOUN
ejpam-1175	183	16	of	of	ADP
ejpam-1175	183	17	the	the	DET
ejpam-1175	183	18	quaterelliptic	quaterelliptic	ADJ
ejpam-1175	183	19	-quaterhyperbolic	-quaterhyperbolic	ADJ
ejpam-1175	183	20	equation	equation	NOUN
ejpam-1175	183	21	(	(	PUNCT
ejpam-1175	183	22	1	1	NUM
ejpam-1175	183	23	)	)	PUNCT
ejpam-1175	183	24	with	with	ADP
ejpam-1175	183	25	eight	eight	NUM
ejpam-1175	183	26	parabolic	parabolic	ADJ
ejpam-1175	183	27	lines	line	NOUN
ejpam-1175	183	28	in	in	ADP
ejpam-1175	183	29	d	d	PROPN
ejpam-1175	183	30	and	and	CCONJ
ejpam-1175	183	31	which	which	PRON
ejpam-1175	183	32	assumes	assume	VERB
ejpam-1175	183	33	continuous	continuous	ADJ
ejpam-1175	183	34	prescribed	prescribed	ADJ
ejpam-1175	183	35	values	value	NOUN
ejpam-1175	183	36	(	(	PUNCT
ejpam-1175	183	37	2	2	NUM
ejpam-1175	183	38	)	)	PUNCT
ejpam-1175	183	39	.	.	PUNCT
ejpam-1175	184	1	uniqueness	uniqueness	PROPN
ejpam-1175	184	2	theorem	theorem	VERB
ejpam-1175	184	3	1	1	NUM
ejpam-1175	184	4	.	.	PUNCT
ejpam-1175	184	5	consider	consider	VERB
ejpam-1175	184	6	the	the	DET
ejpam-1175	184	7	quaterelliptic	quaterelliptic	ADJ
ejpam-1175	184	8	quaterhyperbolic	quaterhyperbolic	ADJ
ejpam-1175	184	9	equation	equation	NOUN
ejpam-1175	184	10	(	(	PUNCT
ejpam-1175	184	11	1	1	NUM
ejpam-1175	184	12	)	)	PUNCT
ejpam-1175	184	13	with	with	ADP
ejpam-1175	184	14	eight	eight	NUM
ejpam-1175	184	15	parabolic	parabolic	ADJ
ejpam-1175	184	16	lines	line	NOUN
ejpam-1175	184	17	and	and	CCONJ
ejpam-1175	184	18	the	the	DET
ejpam-1175	184	19	boundary	boundary	ADJ
ejpam-1175	184	20	condition	condition	NOUN
ejpam-1175	184	21	(	(	PUNCT
ejpam-1175	184	22	2	2	NUM
ejpam-1175	184	23	)	)	PUNCT
ejpam-1175	184	24	.	.	PUNCT
ejpam-1175	185	1	assume	assume	VERB
ejpam-1175	185	2	the	the	DET
ejpam-1175	185	3	above	above	ADV
ejpam-1175	185	4	mixed	mixed	ADJ
ejpam-1175	185	5	doubly	doubly	ADV
ejpam-1175	185	6	connected	connected	ADJ
ejpam-1175	185	7	domain	domain	NOUN
ejpam-1175	185	8	d	d	NOUN
ejpam-1175	185	9	and	and	CCONJ
ejpam-1175	185	10	the	the	DET
ejpam-1175	185	11	following	follow	VERB
ejpam-1175	185	12	conditions	condition	NOUN
ejpam-1175	185	13	:	:	PUNCT
ejpam-1175	185	14	(	(	PUNCT
ejpam-1175	185	15	r1	r1	NOUN
ejpam-1175	185	16	)	)	PUNCT
ejpam-1175	185	17	r	r	NOUN
ejpam-1175	185	18	≤	≤	NUM
ejpam-1175	185	19	0	0	NUM
ejpam-1175	185	20	on	on	ADP
ejpam-1175	185	21	the	the	DET
ejpam-1175	185	22	interior	interior	ADJ
ejpam-1175	185	23	boundary	boundary	NOUN
ejpam-1175	185	24	int(d	int(d	PROPN
ejpam-1175	185	25	)	)	PUNCT
ejpam-1175	185	26	,	,	PUNCT
ejpam-1175	185	27	j.	j.	PROPN
ejpam-1175	185	28	rassias	rassias	PROPN
ejpam-1175	185	29	/	/	SYM
ejpam-1175	185	30	eur	eur	PROPN
ejpam-1175	185	31	.	.	PUNCT
ejpam-1175	186	1	j.	j.	PROPN
ejpam-1175	186	2	pure	pure	PROPN
ejpam-1175	186	3	appl	appl	PROPN
ejpam-1175	186	4	.	.	PROPN
ejpam-1175	186	5	math	math	PROPN
ejpam-1175	186	6	,	,	PUNCT
ejpam-1175	186	7	4	4	NUM
ejpam-1175	186	8	(	(	PUNCT
ejpam-1175	186	9	2011	2011	NUM
ejpam-1175	186	10	)	)	PUNCT
ejpam-1175	186	11	,	,	PUNCT
ejpam-1175	186	12	186	186	NUM
ejpam-1175	186	13	-	-	SYM
ejpam-1175	186	14	208	208	NUM
ejpam-1175	186	15	194	194	NUM
ejpam-1175	186	16	(	(	PUNCT
ejpam-1175	186	17	r2	r2	PROPN
ejpam-1175	186	18	)	)	PUNCT
ejpam-1175	186	19			PROPN
ejpam-1175	186	20			PROPN
ejpam-1175	186	21			PROPN
ejpam-1175	186	22	xd	xd	INTJ
ejpam-1175	187	1	y	y	PROPN
ejpam-1175	187	2	−	−	PROPN
ejpam-1175	188	1	(	(	PUNCT
ejpam-1175	188	2	y	y	PROPN
ejpam-1175	188	3	−	−	PROPN
ejpam-1175	188	4	1)d	1)d	NUM
ejpam-1175	188	5	x	x	SYM
ejpam-1175	188	6	≥	≥	NOUN
ejpam-1175	188	7	0	0	NUM
ejpam-1175	188	8	on	on	ADP
ejpam-1175	188	9	γ0	γ0	NOUN
ejpam-1175	188	10	xd	xd	INTJ
ejpam-1175	188	11	y	y	PROPN
ejpam-1175	188	12	−	−	PROPN
ejpam-1175	188	13	yd	yd	PROPN
ejpam-1175	188	14	x	x	PUNCT
ejpam-1175	188	15	≥	≥	NOUN
ejpam-1175	188	16	0	0	NUM
ejpam-1175	188	17	on	on	ADP
ejpam-1175	188	18	γ0	γ0	NOUN
ejpam-1175	188	19	′	′	NUM
ejpam-1175	189	1	(	(	PUNCT
ejpam-1175	189	2	x	x	X
ejpam-1175	189	3	+	+	NUM
ejpam-1175	189	4	1)d	1)d	NUM
ejpam-1175	189	5	y	y	NOUN
ejpam-1175	189	6	−	−	PROPN
ejpam-1175	189	7	(	(	PUNCT
ejpam-1175	189	8	y	y	PROPN
ejpam-1175	189	9	−	−	PROPN
ejpam-1175	189	10	1)d	1)d	NUM
ejpam-1175	189	11	x	x	SYM
ejpam-1175	189	12	≥	≥	NOUN
ejpam-1175	189	13	0	0	NUM
ejpam-1175	189	14	on	on	ADP
ejpam-1175	189	15	γ0	γ0	PROPN
ejpam-1175	189	16	′′	′′	PROPN
ejpam-1175	189	17	(	(	PUNCT
ejpam-1175	189	18	x	x	PROPN
ejpam-1175	189	19	+	+	NUM
ejpam-1175	189	20	1)d	1)d	NUM
ejpam-1175	189	21	y	y	NOUN
ejpam-1175	189	22	−	−	PROPN
ejpam-1175	189	23	yd	yd	NOUN
ejpam-1175	189	24	x	x	SYM
ejpam-1175	189	25	≥	≥	NOUN
ejpam-1175	189	26	0	0	NUM
ejpam-1175	189	27	on	on	ADP
ejpam-1175	189	28	γ0	γ0	PROPN
ejpam-1175	189	29	′′′	′′′	PROPN
ejpam-1175	189	30	,	,	PUNCT
ejpam-1175	189	31	(	(	PUNCT
ejpam-1175	189	32	r3	r3	NOUN
ejpam-1175	189	33	)	)	PUNCT
ejpam-1175	189	34			PROPN
ejpam-1175	189	35			PROPN
ejpam-1175	189	36			PROPN
ejpam-1175	189	37			PROPN
ejpam-1175	189	38			PROPN
ejpam-1175	189	39			PROPN
ejpam-1175	189	40			PROPN
ejpam-1175	189	41			PROPN
ejpam-1175	189	42			PROPN
ejpam-1175	189	43			NOUN
ejpam-1175	189	44			PROPN
ejpam-1175	189	45			PROPN
ejpam-1175	189	46			PROPN
ejpam-1175	189	47			PROPN
ejpam-1175	189	48			PROPN
ejpam-1175	189	49			PROPN
ejpam-1175	189	50			PROPN
ejpam-1175	189	51			PROPN
ejpam-1175	189	52			NOUN
ejpam-1175	189	53	2r	2r	NUM
ejpam-1175	190	1	+	+	CCONJ
ejpam-1175	190	2	x	x	PUNCT
ejpam-1175	190	3	rx	rx	VERB
ejpam-1175	190	4	+	+	CCONJ
ejpam-1175	190	5	(	(	PUNCT
ejpam-1175	190	6	y	y	PROPN
ejpam-1175	190	7	−	−	PROPN
ejpam-1175	191	1	1)ry	1)ry	PROPN
ejpam-1175	191	2	≤	≤	NOUN
ejpam-1175	191	3	0	0	NUM
ejpam-1175	191	4	in	in	ADP
ejpam-1175	191	5	g1	g1	PROPN
ejpam-1175	191	6	2r	2r	NUM
ejpam-1175	192	1	+	+	CCONJ
ejpam-1175	192	2	x	x	PUNCT
ejpam-1175	192	3	rx	rx	VERB
ejpam-1175	192	4	+	+	CCONJ
ejpam-1175	192	5	yry	yry	VERB
ejpam-1175	192	6	≤	≤	NOUN
ejpam-1175	192	7	0	0	NUM
ejpam-1175	192	8	in	in	ADP
ejpam-1175	192	9	g1	g1	PROPN
ejpam-1175	192	10	′	′	NUM
ejpam-1175	192	11	2r	2r	NUM
ejpam-1175	193	1	+	+	CCONJ
ejpam-1175	193	2	(	(	PUNCT
ejpam-1175	193	3	x	x	SYM
ejpam-1175	193	4	+	+	CCONJ
ejpam-1175	193	5	1)rx	1)rx	NOUN
ejpam-1175	193	6	+	+	CCONJ
ejpam-1175	193	7	(	(	PUNCT
ejpam-1175	193	8	y	y	PROPN
ejpam-1175	193	9	−	−	PROPN
ejpam-1175	193	10	1)ry	1)ry	PROPN
ejpam-1175	193	11	≤	≤	NOUN
ejpam-1175	193	12	0	0	NUM
ejpam-1175	193	13	in	in	ADP
ejpam-1175	193	14	g1	g1	PROPN
ejpam-1175	193	15	′′	′′	PROPN
ejpam-1175	193	16	2r	2r	PRON
ejpam-1175	194	1	+	+	CCONJ
ejpam-1175	194	2	(	(	PUNCT
ejpam-1175	194	3	x	x	SYM
ejpam-1175	194	4	+	+	NUM
ejpam-1175	194	5	1)rx	1)rx	NOUN
ejpam-1175	194	6	+	+	CCONJ
ejpam-1175	194	7	yry	yry	NOUN
ejpam-1175	194	8	≤	≤	NOUN
ejpam-1175	194	9	0	0	NUM
ejpam-1175	194	10	in	in	ADP
ejpam-1175	194	11	g1	g1	PROPN
ejpam-1175	194	12	′′′	′′′	ADP
ejpam-1175	195	1	r	r	NOUN
ejpam-1175	195	2	+	+	NOUN
ejpam-1175	195	3	x	x	PUNCT
ejpam-1175	195	4	rx	rx	VERB
ejpam-1175	195	5	≤	≤	NOUN
ejpam-1175	195	6	0	0	NUM
ejpam-1175	195	7	in	in	ADP
ejpam-1175	195	8	g2	g2	PROPN
ejpam-1175	195	9	r	r	NOUN
ejpam-1175	196	1	+	+	CCONJ
ejpam-1175	196	2	(	(	PUNCT
ejpam-1175	196	3	y	y	PROPN
ejpam-1175	197	1	−	−	PROPN
ejpam-1175	197	2	1)ry	1)ry	PROPN
ejpam-1175	197	3	≤	≤	NOUN
ejpam-1175	197	4	0	0	NUM
ejpam-1175	197	5	in	in	ADP
ejpam-1175	197	6	g2	g2	PROPN
ejpam-1175	197	7	′	′	NUM
ejpam-1175	198	1	r	r	NOUN
ejpam-1175	198	2	+	+	CCONJ
ejpam-1175	198	3	(	(	PUNCT
ejpam-1175	198	4	x	x	SYM
ejpam-1175	198	5	+	+	NUM
ejpam-1175	198	6	1)rx	1)rx	NUM
ejpam-1175	198	7	≤	≤	NOUN
ejpam-1175	198	8	0	0	NUM
ejpam-1175	198	9	in	in	ADP
ejpam-1175	198	10	g2	g2	PROPN
ejpam-1175	198	11	′′	′′	PROPN
ejpam-1175	198	12	r	r	NOUN
ejpam-1175	198	13	+	+	NOUN
ejpam-1175	198	14	yry	yry	VERB
ejpam-1175	198	15	≤	≤	NOUN
ejpam-1175	198	16	0	0	NUM
ejpam-1175	198	17	in	in	ADP
ejpam-1175	198	18	g2	g2	PROPN
ejpam-1175	198	19	′′′	′′′	PROPN
ejpam-1175	198	20	,	,	PUNCT
ejpam-1175	198	21	(	(	PUNCT
ejpam-1175	198	22	r4	r4	PROPN
ejpam-1175	198	23	)	)	PUNCT
ejpam-1175	198	24	ki	ki	PROPN
ejpam-1175	198	25	>	>	X
ejpam-1175	198	26	0	0	PROPN
ejpam-1175	198	27	,	,	PUNCT
ejpam-1175	198	28	mi	mi	X
ejpam-1175	198	29	>	>	X
ejpam-1175	198	30	0	0	PUNCT
ejpam-1175	199	1	(	(	PUNCT
ejpam-1175	199	2	i	i	NOUN
ejpam-1175	199	3	=	=	NOUN
ejpam-1175	199	4	1,2	1,2	NUM
ejpam-1175	199	5	)	)	PUNCT
ejpam-1175	199	6	,	,	PUNCT
ejpam-1175	199	7	in	in	ADP
ejpam-1175	199	8	g1	g1	PROPN
ejpam-1175	199	9	∪	∪	VERB
ejpam-1175	199	10	g1	g1	PROPN
ejpam-1175	199	11	′	′	NUM
ejpam-1175	199	12	∪	∪	ADJ
ejpam-1175	199	13	g1	g1	NOUN
ejpam-1175	199	14	′′	′′	PROPN
ejpam-1175	199	15	∪	∪	ADP
ejpam-1175	199	16	g1	g1	PROPN
ejpam-1175	199	17	′′′	′′′	PROPN
ejpam-1175	199	18	,	,	PUNCT
ejpam-1175	199	19	(	(	PUNCT
ejpam-1175	199	20	r5	r5	PROPN
ejpam-1175	199	21	)	)	PUNCT
ejpam-1175	199	22	¨	¨	NOUN
ejpam-1175	199	23	k1	k1	X
ejpam-1175	199	24	<	<	X
ejpam-1175	199	25	0	0	NUM
ejpam-1175	199	26	,	,	PUNCT
ejpam-1175	199	27	m1	m1	PROPN
ejpam-1175	199	28	>	>	X
ejpam-1175	199	29	0	0	PUNCT
ejpam-1175	200	1	in	in	ADP
ejpam-1175	200	2	g2	g2	PROPN
ejpam-1175	200	3	∪	∪	ADP
ejpam-1175	200	4	g2	g2	PROPN
ejpam-1175	200	5	′′	′′	PROPN
ejpam-1175	200	6	k1	k1	VERB
ejpam-1175	200	7	>	>	X
ejpam-1175	200	8	0	0	PUNCT
ejpam-1175	200	9	,	,	PUNCT
ejpam-1175	200	10	m1	m1	PROPN
ejpam-1175	200	11	<	<	X
ejpam-1175	200	12	0	0	PUNCT
ejpam-1175	200	13	in	in	ADP
ejpam-1175	200	14	g2	g2	PROPN
ejpam-1175	200	15	′	′	NUM
ejpam-1175	200	16	∪	∪	PROPN
ejpam-1175	200	17	g2	g2	PROPN
ejpam-1175	200	18	′′′	′′′	PROPN
ejpam-1175	200	19	,	,	PUNCT
ejpam-1175	200	20	(	(	PUNCT
ejpam-1175	200	21	r6	r6	NOUN
ejpam-1175	200	22	)	)	PUNCT
ejpam-1175	200	23			PROPN
ejpam-1175	200	24			PRON
ejpam-1175	200	25			NOUN
ejpam-1175	200	26	ṁ1	ṁ1	PROPN
ejpam-1175	200	27	≥	≥	NOUN
ejpam-1175	200	28	0	0	NUM
ejpam-1175	200	29	,	,	PUNCT
ejpam-1175	200	30	ṁ2	ṁ2	NOUN
ejpam-1175	200	31	≥	≥	NUM
ejpam-1175	200	32	0	0	NUM
ejpam-1175	200	33	;	;	PUNCT
ejpam-1175	200	34	k1	k1	PROPN
ejpam-1175	200	35	′	′	NUM
ejpam-1175	200	36	≥	≥	NOUN
ejpam-1175	200	37	0	0	NUM
ejpam-1175	200	38	,	,	PUNCT
ejpam-1175	200	39	k2	k2	ADJ
ejpam-1175	200	40	′	′	NUM
ejpam-1175	200	41	≥	≥	NOUN
ejpam-1175	200	42	0	0	NUM
ejpam-1175	200	43	in	in	ADP
ejpam-1175	200	44	g1	g1	PROPN
ejpam-1175	200	45	ṁ1	ṁ1	PROPN
ejpam-1175	200	46	≥	≥	PRON
ejpam-1175	200	47	0	0	NUM
ejpam-1175	200	48	,	,	PUNCT
ejpam-1175	200	49	ṁ2	ṁ2	NOUN
ejpam-1175	200	50	≥	≥	NUM
ejpam-1175	200	51	0	0	NUM
ejpam-1175	200	52	;	;	PUNCT
ejpam-1175	200	53	k1	k1	NOUN
ejpam-1175	200	54	′	′	NOUN
ejpam-1175	200	55	≤	≤	NUM
ejpam-1175	200	56	0	0	NUM
ejpam-1175	200	57	,	,	PUNCT
ejpam-1175	200	58	k2	k2	ADJ
ejpam-1175	200	59	′	′	NOUN
ejpam-1175	200	60	≤	≤	NOUN
ejpam-1175	200	61	0	0	NUM
ejpam-1175	200	62	in	in	ADP
ejpam-1175	200	63	g1	g1	PROPN
ejpam-1175	200	64	′	′	PUNCT
ejpam-1175	201	1	ṁ1	ṁ1	PROPN
ejpam-1175	201	2	≤	≤	NOUN
ejpam-1175	201	3	0	0	NUM
ejpam-1175	201	4	,	,	PUNCT
ejpam-1175	201	5	ṁ2	ṁ2	NOUN
ejpam-1175	201	6	≤	≤	NOUN
ejpam-1175	201	7	0	0	NUM
ejpam-1175	201	8	;	;	PUNCT
ejpam-1175	201	9	k1	k1	PROPN
ejpam-1175	201	10	′	′	NUM
ejpam-1175	201	11	≥	≥	NOUN
ejpam-1175	201	12	0	0	NUM
ejpam-1175	201	13	,	,	PUNCT
ejpam-1175	201	14	k2	k2	ADJ
ejpam-1175	201	15	′	′	NUM
ejpam-1175	201	16	≥	≥	NOUN
ejpam-1175	201	17	0	0	NUM
ejpam-1175	201	18	in	in	ADP
ejpam-1175	201	19	g1	g1	NOUN
ejpam-1175	201	20	′′	′′	PROPN
ejpam-1175	201	21	ṁ1	ṁ1	PROPN
ejpam-1175	201	22	≤	≤	ADV
ejpam-1175	201	23	0	0	NUM
ejpam-1175	201	24	,	,	PUNCT
ejpam-1175	201	25	ṁ2	ṁ2	NOUN
ejpam-1175	201	26	≤	≤	NOUN
ejpam-1175	201	27	0	0	NUM
ejpam-1175	201	28	;	;	PUNCT
ejpam-1175	201	29	k1	k1	NOUN
ejpam-1175	201	30	′	′	NOUN
ejpam-1175	201	31	≤	≤	NUM
ejpam-1175	201	32	0	0	NUM
ejpam-1175	201	33	,	,	PUNCT
ejpam-1175	201	34	k2	k2	ADJ
ejpam-1175	201	35	′	′	NOUN
ejpam-1175	201	36	≤	≤	NOUN
ejpam-1175	201	37	0	0	NUM
ejpam-1175	201	38	in	in	ADP
ejpam-1175	201	39	g1	g1	PROPN
ejpam-1175	201	40	′′′	′′′	PROPN
ejpam-1175	201	41	,	,	PUNCT
ejpam-1175	201	42	(	(	PUNCT
ejpam-1175	201	43	r7	r7	PROPN
ejpam-1175	201	44	)	)	PUNCT
ejpam-1175	201	45	k2	k2	PROPN
ejpam-1175	201	46	>	>	X
ejpam-1175	201	47	0	0	PROPN
ejpam-1175	201	48	,	,	PUNCT
ejpam-1175	201	49	m2	m2	PROPN
ejpam-1175	201	50	>	>	X
ejpam-1175	201	51	0	0	PUNCT
ejpam-1175	202	1	in	in	ADP
ejpam-1175	202	2	d	d	PROPN
ejpam-1175	202	3	,	,	PUNCT
ejpam-1175	202	4	(	(	PUNCT
ejpam-1175	202	5	r8	r8	NOUN
ejpam-1175	202	6	)	)	PUNCT
ejpam-1175	202	7			PROPN
ejpam-1175	202	8			PRON
ejpam-1175	202	9			NOUN
ejpam-1175	202	10	ṁ1	ṁ1	PROPN
ejpam-1175	202	11	≥	≥	NOUN
ejpam-1175	202	12	0	0	NUM
ejpam-1175	202	13	,	,	PUNCT
ejpam-1175	202	14	ṁ2	ṁ2	NOUN
ejpam-1175	202	15	≤	≤	NOUN
ejpam-1175	202	16	0	0	NUM
ejpam-1175	203	1	in	in	ADP
ejpam-1175	203	2	g2	g2	PROPN
ejpam-1175	203	3	k1	k1	PROPN
ejpam-1175	203	4	′	′	PROPN
ejpam-1175	203	5	≥	≥	PROPN
ejpam-1175	203	6	0	0	NUM
ejpam-1175	203	7	,	,	PUNCT
ejpam-1175	203	8	k2	k2	ADJ
ejpam-1175	203	9	′	′	NOUN
ejpam-1175	203	10	≤	≤	NOUN
ejpam-1175	203	11	0	0	NUM
ejpam-1175	204	1	in	in	ADP
ejpam-1175	204	2	g2	g2	PROPN
ejpam-1175	204	3	′	′	PUNCT
ejpam-1175	204	4	ṁ1	ṁ1	PROPN
ejpam-1175	204	5	≤	≤	NOUN
ejpam-1175	204	6	0	0	NUM
ejpam-1175	204	7	,	,	PUNCT
ejpam-1175	204	8	ṁ2	ṁ2	NOUN
ejpam-1175	204	9	≥	≥	NOUN
ejpam-1175	204	10	0	0	NUM
ejpam-1175	204	11	in	in	ADP
ejpam-1175	204	12	g2	g2	PROPN
ejpam-1175	204	13	′′	′′	PROPN
ejpam-1175	204	14	k1	k1	NOUN
ejpam-1175	204	15	′	′	NUM
ejpam-1175	204	16	≤	≤	NUM
ejpam-1175	204	17	0	0	NUM
ejpam-1175	204	18	,	,	PUNCT
ejpam-1175	204	19	k2	k2	ADJ
ejpam-1175	204	20	′	′	NUM
ejpam-1175	204	21	≥	≥	NOUN
ejpam-1175	204	22	0	0	NUM
ejpam-1175	204	23	in	in	ADP
ejpam-1175	204	24	g2	g2	PROPN
ejpam-1175	204	25	′′′	′′′	PROPN
ejpam-1175	204	26	.	.	PUNCT
ejpam-1175	205	1	let	let	VERB
ejpam-1175	205	2	(	(	PUNCT
ejpam-1175	205	3	)	)	PUNCT
ejpam-1175	205	4	x	x	SYM
ejpam-1175	205	5	=	=	SYM
ejpam-1175	205	6	∂	∂	NUM
ejpam-1175	205	7	(	(	PUNCT
ejpam-1175	205	8	)	)	PUNCT
ejpam-1175	205	9	/∂	/∂	PUNCT
ejpam-1175	206	1	x	x	X
ejpam-1175	206	2	,	,	PUNCT
ejpam-1175	206	3	(	(	PUNCT
ejpam-1175	206	4	)	)	PUNCT
ejpam-1175	206	5	·	·	PUNCT
ejpam-1175	207	1	=	=	NOUN
ejpam-1175	207	2	d()/d	d()/d	VERB
ejpam-1175	207	3	x	x	SYM
ejpam-1175	207	4	,	,	PUNCT
ejpam-1175	207	5	(	(	PUNCT
ejpam-1175	207	6	)	)	PUNCT
ejpam-1175	207	7	y	y	PROPN
ejpam-1175	207	8	=	=	SYM
ejpam-1175	207	9	∂	∂	NUM
ejpam-1175	207	10	(	(	PUNCT
ejpam-1175	207	11	)	)	PUNCT
ejpam-1175	207	12	/∂	/∂	PUNCT
ejpam-1175	208	1	y	y	NOUN
ejpam-1175	208	2	,	,	PUNCT
ejpam-1175	208	3	(	(	PUNCT
ejpam-1175	208	4	)	)	PUNCT
ejpam-1175	208	5	′	′	NUM
ejpam-1175	209	1	=	=	PUNCT
ejpam-1175	209	2	d()/d	d()/d	VERB
ejpam-1175	209	3	y	y	PROPN
ejpam-1175	209	4	,	,	PUNCT
ejpam-1175	209	5	where	where	SCONJ
ejpam-1175	209	6	f	f	PROPN
ejpam-1175	209	7	=	=	SYM
ejpam-1175	209	8	f	f	PROPN
ejpam-1175	209	9	(	(	PUNCT
ejpam-1175	209	10	x	x	INTJ
ejpam-1175	209	11	,	,	PUNCT
ejpam-1175	209	12	y	y	PROPN
ejpam-1175	209	13	)	)	PUNCT
ejpam-1175	209	14	is	be	AUX
ejpam-1175	209	15	continuous	continuous	ADJ
ejpam-1175	209	16	in	in	ADP
ejpam-1175	209	17	d	d	PROPN
ejpam-1175	209	18	,	,	PUNCT
ejpam-1175	209	19	r	r	NOUN
ejpam-1175	209	20	=	=	SYM
ejpam-1175	209	21	r(x	r(x	PROPN
ejpam-1175	209	22	,	,	PUNCT
ejpam-1175	209	23	y	y	PROPN
ejpam-1175	209	24	)	)	PUNCT
ejpam-1175	209	25	is	be	AUX
ejpam-1175	209	26	once	once	ADV
ejpam-1175	209	27	-	-	PUNCT
ejpam-1175	209	28	continuously	continuously	ADV
ejpam-1175	209	29	differentiable	differentiable	VERB
ejpam-1175	209	30	in	in	ADP
ejpam-1175	209	31	d	d	PROPN
ejpam-1175	209	32	,	,	PUNCT
ejpam-1175	209	33	ki	ki	PROPN
ejpam-1175	209	34	=	=	PUNCT
ejpam-1175	209	35	ki(y	ki(y	PROPN
ejpam-1175	209	36	)	)	PUNCT
ejpam-1175	210	1	(	(	PUNCT
ejpam-1175	210	2	i	i	NOUN
ejpam-1175	210	3	=	=	SYM
ejpam-1175	210	4	1,2	1,2	NUM
ejpam-1175	210	5	)	)	PUNCT
ejpam-1175	210	6	are	be	AUX
ejpam-1175	210	7	once	once	ADV
ejpam-1175	210	8	-	-	PUNCT
ejpam-1175	210	9	continuously	continuously	ADV
ejpam-1175	210	10	differentiable	differentiable	ADJ
ejpam-1175	210	11	for	for	ADP
ejpam-1175	210	12	y	y	PROPN
ejpam-1175	210	13	∈	∈	PROPN
ejpam-1175	211	1	[	[	X
ejpam-1175	211	2	−k1	−k1	NOUN
ejpam-1175	211	3	,	,	PUNCT
ejpam-1175	211	4	k2	k2	PROPN
ejpam-1175	211	5	]	]	PUNCT
ejpam-1175	211	6	with	with	ADP
ejpam-1175	211	7	−k1	−k1	NOUN
ejpam-1175	211	8	=	=	PUNCT
ejpam-1175	211	9	in	in	ADP
ejpam-1175	211	10	f	f	PROPN
ejpam-1175	211	11	{	{	PUNCT
ejpam-1175	211	12	y	y	NOUN
ejpam-1175	211	13	:	:	PUNCT
ejpam-1175	211	14	(	(	PUNCT
ejpam-1175	211	15	x	x	X
ejpam-1175	211	16	,	,	PUNCT
ejpam-1175	211	17	y	y	PROPN
ejpam-1175	211	18	)	)	PUNCT
ejpam-1175	211	19	∈	∈	PROPN
ejpam-1175	212	1	d	d	NOUN
ejpam-1175	212	2	}	}	PUNCT
ejpam-1175	212	3	and	and	CCONJ
ejpam-1175	212	4	k2	k2	PROPN
ejpam-1175	212	5	=	=	PROPN
ejpam-1175	212	6	sup{y	sup{y	PROPN
ejpam-1175	212	7	:	:	PUNCT
ejpam-1175	212	8	(	(	PUNCT
ejpam-1175	212	9	x	x	X
ejpam-1175	212	10	,	,	PUNCT
ejpam-1175	212	11	y	y	PROPN
ejpam-1175	212	12	)	)	PUNCT
ejpam-1175	212	13	∈	∈	PROPN
ejpam-1175	213	1	d	d	NOUN
ejpam-1175	213	2	}	}	PUNCT
ejpam-1175	213	3	,	,	PUNCT
ejpam-1175	213	4	and	and	CCONJ
ejpam-1175	213	5	mi	mi	PROPN
ejpam-1175	213	6	=	=	SYM
ejpam-1175	213	7	mi(x	mi(x	PROPN
ejpam-1175	213	8	)	)	PUNCT
ejpam-1175	213	9	(	(	PUNCT
ejpam-1175	213	10	i	i	NOUN
ejpam-1175	213	11	=	=	SYM
ejpam-1175	213	12	1,2	1,2	NUM
ejpam-1175	213	13	)	)	PUNCT
ejpam-1175	213	14	are	be	AUX
ejpam-1175	213	15	once	once	ADV
ejpam-1175	213	16	-	-	PUNCT
ejpam-1175	213	17	continuously	continuously	ADV
ejpam-1175	213	18	differentiable	differentiable	VERB
ejpam-1175	213	19	for	for	ADP
ejpam-1175	213	20	x	x	SYM
ejpam-1175	213	21	∈	∈	PROPN
ejpam-1175	213	22	[	[	X
ejpam-1175	213	23	−m1	−m1	PROPN
ejpam-1175	213	24	,	,	PUNCT
ejpam-1175	213	25	m2	m2	PROPN
ejpam-1175	213	26	]	]	PUNCT
ejpam-1175	213	27	with	with	ADP
ejpam-1175	213	28	−m1	−m1	PROPN
ejpam-1175	213	29	=	=	PUNCT
ejpam-1175	213	30	in	in	ADP
ejpam-1175	213	31	f	f	PROPN
ejpam-1175	213	32	{	{	PUNCT
ejpam-1175	213	33	x	x	X
ejpam-1175	213	34	:	:	PUNCT
ejpam-1175	213	35	(	(	PUNCT
ejpam-1175	213	36	x	x	X
ejpam-1175	213	37	,	,	PUNCT
ejpam-1175	213	38	y	y	PROPN
ejpam-1175	213	39	)	)	PUNCT
ejpam-1175	213	40	∈	∈	PROPN
ejpam-1175	214	1	d	d	NOUN
ejpam-1175	214	2	}	}	PUNCT
ejpam-1175	214	3	and	and	CCONJ
ejpam-1175	214	4	m2	m2	PROPN
ejpam-1175	214	5	=	=	PROPN
ejpam-1175	214	6	sup{x	sup{x	NOUN
ejpam-1175	214	7	:	:	PUNCT
ejpam-1175	214	8	(	(	PUNCT
ejpam-1175	214	9	x	x	X
ejpam-1175	214	10	,	,	PUNCT
ejpam-1175	214	11	y	y	PROPN
ejpam-1175	214	12	)	)	PUNCT
ejpam-1175	214	13	∈	∈	PROPN
ejpam-1175	214	14	d	d	NOUN
ejpam-1175	214	15	}	}	PUNCT
ejpam-1175	214	16	.	.	PUNCT
ejpam-1175	215	1	then	then	ADV
ejpam-1175	215	2	the	the	DET
ejpam-1175	215	3	problem	problem	NOUN
ejpam-1175	215	4	(	(	PUNCT
ejpam-1175	215	5	et	et	NOUN
ejpam-1175	215	6	)	)	PUNCT
ejpam-1175	215	7	has	have	VERB
ejpam-1175	215	8	at	at	ADP
ejpam-1175	215	9	most	most	ADV
ejpam-1175	215	10	one	one	NUM
ejpam-1175	215	11	quasi	quasi	ADJ
ejpam-1175	215	12	-	-	ADJ
ejpam-1175	215	13	regular	regular	ADJ
ejpam-1175	215	14	solution	solution	NOUN
ejpam-1175	215	15	in	in	ADP
ejpam-1175	215	16	d.	d.	PROPN
ejpam-1175	215	17	proof	proof	NOUN
ejpam-1175	215	18	.	.	PUNCT
ejpam-1175	216	1	we	we	PRON
ejpam-1175	216	2	apply	apply	VERB
ejpam-1175	216	3	the	the	DET
ejpam-1175	216	4	well	well	ADV
ejpam-1175	216	5	-	-	PUNCT
ejpam-1175	216	6	known	know	VERB
ejpam-1175	216	7	a	a	DET
ejpam-1175	216	8	-	-	PUNCT
ejpam-1175	216	9	b	b	NOUN
ejpam-1175	216	10	-	-	PUNCT
ejpam-1175	216	11	c	c	NOUN
ejpam-1175	216	12	energy	energy	NOUN
ejpam-1175	216	13	integral	integral	ADJ
ejpam-1175	216	14	method	method	NOUN
ejpam-1175	216	15	with	with	ADP
ejpam-1175	216	16	a	a	DET
ejpam-1175	216	17	=	=	SYM
ejpam-1175	216	18	0	0	NUM
ejpam-1175	216	19	,	,	PUNCT
ejpam-1175	216	20	and	and	CCONJ
ejpam-1175	216	21	use	use	VERB
ejpam-1175	216	22	the	the	DET
ejpam-1175	216	23	above	above	ADJ
ejpam-1175	216	24	mixed	mixed	ADJ
ejpam-1175	216	25	type	type	NOUN
ejpam-1175	216	26	equation	equation	NOUN
ejpam-1175	216	27	(	(	PUNCT
ejpam-1175	216	28	1	1	NUM
ejpam-1175	216	29	)	)	PUNCT
ejpam-1175	216	30	as	as	ADV
ejpam-1175	216	31	well	well	ADV
ejpam-1175	216	32	as	as	ADP
ejpam-1175	216	33	the	the	DET
ejpam-1175	216	34	boundary	boundary	ADJ
ejpam-1175	216	35	condition	condition	NOUN
ejpam-1175	216	36	(	(	PUNCT
ejpam-1175	216	37	2	2	NUM
ejpam-1175	216	38	)	)	PUNCT
ejpam-1175	216	39	.	.	PUNCT
ejpam-1175	217	1	first	first	ADV
ejpam-1175	217	2	,	,	PUNCT
ejpam-1175	217	3	we	we	PRON
ejpam-1175	217	4	assume	assume	VERB
ejpam-1175	217	5	two	two	NUM
ejpam-1175	217	6	quasi	quasi	ADJ
ejpam-1175	217	7	-	-	ADJ
ejpam-1175	217	8	regular	regular	ADJ
ejpam-1175	217	9	solutions	solution	NOUN
ejpam-1175	217	10	u1,u2	u1,u2	PROPN
ejpam-1175	217	11	of	of	ADP
ejpam-1175	217	12	the	the	DET
ejpam-1175	217	13	problem	problem	NOUN
ejpam-1175	217	14	(	(	PUNCT
ejpam-1175	217	15	et	et	NOUN
ejpam-1175	217	16	)	)	PUNCT
ejpam-1175	217	17	.	.	PUNCT
ejpam-1175	218	1	then	then	ADV
ejpam-1175	218	2	we	we	PRON
ejpam-1175	218	3	claim	claim	VERB
ejpam-1175	218	4	that	that	SCONJ
ejpam-1175	218	5	u	u	NOUN
ejpam-1175	218	6	=	=	NOUN
ejpam-1175	218	7	u1	u1	PROPN
ejpam-1175	218	8	−	−	PROPN
ejpam-1175	218	9	u2	u2	PROPN
ejpam-1175	218	10	=	=	SYM
ejpam-1175	218	11	0	0	NUM
ejpam-1175	218	12	holds	hold	VERB
ejpam-1175	218	13	in	in	ADP
ejpam-1175	218	14	the	the	DET
ejpam-1175	218	15	domain	domain	NOUN
ejpam-1175	218	16	d.	d.	NOUN
ejpam-1175	218	17	in	in	ADP
ejpam-1175	218	18	fact	fact	NOUN
ejpam-1175	218	19	,	,	PUNCT
ejpam-1175	218	20	we	we	PRON
ejpam-1175	218	21	investigate	investigate	VERB
ejpam-1175	218	22	0	0	NUM
ejpam-1175	219	1	=	=	SYM
ejpam-1175	219	2	j	j	NOUN
ejpam-1175	219	3	=	=	SYM
ejpam-1175	219	4	2	2	NUM
ejpam-1175	219	5	<	<	X
ejpam-1175	219	6	lu	lu	PROPN
ejpam-1175	219	7	,	,	PUNCT
ejpam-1175	219	8	lu	lu	PROPN
ejpam-1175	219	9	>	>	NOUN
ejpam-1175	219	10	0=	0=	PUNCT
ejpam-1175	220	1	∫∫	∫∫	ADV
ejpam-1175	220	2	d	d	PROPN
ejpam-1175	220	3	2lulud	2lulud	NUM
ejpam-1175	220	4	xd	xd	INTJ
ejpam-1175	220	5	y	y	PROPN
ejpam-1175	220	6	(	(	PUNCT
ejpam-1175	220	7	3	3	X
ejpam-1175	220	8	)	)	PUNCT
ejpam-1175	220	9	j.	j.	PROPN
ejpam-1175	220	10	rassias	rassias	PROPN
ejpam-1175	220	11	/	/	SYM
ejpam-1175	220	12	eur	eur	PROPN
ejpam-1175	220	13	.	.	PUNCT
ejpam-1175	221	1	j.	j.	PROPN
ejpam-1175	221	2	pure	pure	PROPN
ejpam-1175	221	3	appl	appl	PROPN
ejpam-1175	221	4	.	.	PROPN
ejpam-1175	221	5	math	math	PROPN
ejpam-1175	221	6	,	,	PUNCT
ejpam-1175	221	7	4	4	NUM
ejpam-1175	221	8	(	(	PUNCT
ejpam-1175	221	9	2011	2011	NUM
ejpam-1175	221	10	)	)	PUNCT
ejpam-1175	221	11	,	,	PUNCT
ejpam-1175	221	12	186	186	NUM
ejpam-1175	221	13	-	-	SYM
ejpam-1175	221	14	208	208	NUM
ejpam-1175	221	15	195	195	NUM
ejpam-1175	221	16	where	where	SCONJ
ejpam-1175	221	17	lu	lu	NOUN
ejpam-1175	221	18	=	=	SYM
ejpam-1175	221	19	b(x)ux	b(x)ux	PROPN
ejpam-1175	221	20	+	+	NOUN
ejpam-1175	221	21	c(y)uy	c(y)uy	CCONJ
ejpam-1175	221	22	,	,	PUNCT
ejpam-1175	221	23	and	and	CCONJ
ejpam-1175	221	24	lu=	lu=	ADJ
ejpam-1175	221	25	l(u1−u2	l(u1−u2	NOUN
ejpam-1175	221	26	)	)	PUNCT
ejpam-1175	221	27	=	=	PRON
ejpam-1175	221	28	lu1−	lu1−	VERB
ejpam-1175	221	29	lu2	lu2	NOUN
ejpam-1175	222	1	=	=	SYM
ejpam-1175	223	1	f	f	PROPN
ejpam-1175	224	1	−	−	PROPN
ejpam-1175	224	2	f	f	NOUN
ejpam-1175	224	3	=	=	NOUN
ejpam-1175	224	4	0	0	NUM
ejpam-1175	224	5	in	in	ADP
ejpam-1175	224	6	d	d	PROPN
ejpam-1175	224	7	,	,	PUNCT
ejpam-1175	224	8	with	with	ADP
ejpam-1175	224	9	choices	choice	NOUN
ejpam-1175	224	10	b	b	NOUN
ejpam-1175	224	11	=	=	PUNCT
ejpam-1175	224	12	b(x	b(x	NOUN
ejpam-1175	224	13	)	)	PUNCT
ejpam-1175	224	14	=	=	PUNCT
ejpam-1175	224	15			PROPN
ejpam-1175	224	16			ADJ
ejpam-1175	224	17			NOUN
ejpam-1175	224	18	x	x	PUNCT
ejpam-1175	224	19	ing1	ing1	PROPN
ejpam-1175	224	20	∪	∪	NOUN
ejpam-1175	224	21	g1	g1	PROPN
ejpam-1175	224	22	′	′	NUM
ejpam-1175	224	23	∪	∪	X
ejpam-1175	224	24	g2	g2	PROPN
ejpam-1175	224	25	x	x	PUNCT
ejpam-1175	225	1	+	+	ADJ
ejpam-1175	225	2	1	1	NUM
ejpam-1175	225	3	ing1	ing1	NOUN
ejpam-1175	225	4	′′	′′	PROPN
ejpam-1175	225	5	∪	∪	NOUN
ejpam-1175	225	6	g1	g1	NOUN
ejpam-1175	225	7	′′′	′′′	VERB
ejpam-1175	225	8	∪	∪	ADP
ejpam-1175	225	9	g2	g2	PROPN
ejpam-1175	225	10	′′	′′	PROPN
ejpam-1175	225	11	0	0	NUM
ejpam-1175	225	12	ing2	ing2	ADJ
ejpam-1175	225	13	′	′	NUM
ejpam-1175	225	14	∪	∪	PROPN
ejpam-1175	225	15	g2	g2	PROPN
ejpam-1175	225	16	′′′	′′′	PROPN
ejpam-1175	225	17	,	,	PUNCT
ejpam-1175	225	18	c	c	PROPN
ejpam-1175	225	19	=	=	SYM
ejpam-1175	225	20	c(y	c(y	PROPN
ejpam-1175	225	21	)	)	PUNCT
ejpam-1175	225	22	=	=	PUNCT
ejpam-1175	226	1			PROPN
ejpam-1175	226	2			PRON
ejpam-1175	226	3			ADJ
ejpam-1175	226	4	y	y	PROPN
ejpam-1175	226	5	in	in	ADP
ejpam-1175	226	6	g1	g1	PROPN
ejpam-1175	226	7	′	′	PUNCT
ejpam-1175	226	8	∪	∪	ADJ
ejpam-1175	226	9	g1	g1	NOUN
ejpam-1175	226	10	′′′	′′′	VERB
ejpam-1175	226	11	∪	∪	PROPN
ejpam-1175	226	12	g2	g2	PROPN
ejpam-1175	226	13	′′′	′′′	PROPN
ejpam-1175	226	14	y	y	PROPN
ejpam-1175	226	15	−	−	PROPN
ejpam-1175	226	16	1	1	NUM
ejpam-1175	226	17	in	in	ADP
ejpam-1175	226	18	g1	g1	NOUN
ejpam-1175	226	19	∪	∪	VERB
ejpam-1175	226	20	g1	g1	NOUN
ejpam-1175	226	21	′′	′′	PROPN
ejpam-1175	226	22	∪	∪	VERB
ejpam-1175	226	23	g2	g2	PROPN
ejpam-1175	226	24	′	′	NOUN
ejpam-1175	226	25	0	0	NUM
ejpam-1175	227	1	in	in	ADP
ejpam-1175	227	2	g2	g2	PROPN
ejpam-1175	227	3	∪	∪	ADP
ejpam-1175	227	4	g2	g2	PROPN
ejpam-1175	227	5	′′	′′	PROPN
ejpam-1175	227	6	.	.	PUNCT
ejpam-1175	228	1	(	(	PUNCT
ejpam-1175	228	2	4	4	X
ejpam-1175	228	3	)	)	PUNCT
ejpam-1175	228	4	we	we	PRON
ejpam-1175	228	5	consider	consider	VERB
ejpam-1175	228	6	the	the	DET
ejpam-1175	228	7	new	new	ADJ
ejpam-1175	228	8	differential	differential	ADJ
ejpam-1175	228	9	identities	identity	NOUN
ejpam-1175	228	10	2bk1m2ux	2bk1m2ux	NUM
ejpam-1175	228	11	ux	ux	NOUN
ejpam-1175	228	12	x	x	SYM
ejpam-1175	228	13	=	=	SYM
ejpam-1175	228	14	�	�	PROPN
ejpam-1175	228	15	bk1m2ux	bk1m2ux	PROPN
ejpam-1175	228	16	2	2	NUM
ejpam-1175	228	17	�	�	PROPN
ejpam-1175	228	18	x	x	X
ejpam-1175	228	19	−	−	PROPN
ejpam-1175	228	20	(	(	PUNCT
ejpam-1175	228	21	bm2)x	bm2)x	NOUN
ejpam-1175	228	22	k1ux	k1ux	NOUN
ejpam-1175	228	23	2	2	NUM
ejpam-1175	228	24	,	,	PUNCT
ejpam-1175	228	25	2bk2m1ux	2bk2m1ux	PROPN
ejpam-1175	228	26	uy	uy	NOUN
ejpam-1175	228	27	y	y	PROPN
ejpam-1175	228	28	=	=	SYM
ejpam-1175	228	29	�	�	PROPN
ejpam-1175	228	30	2bk2m1uxuy	2bk2m1uxuy	NUM
ejpam-1175	228	31	�	�	PROPN
ejpam-1175	228	32	y	y	PROPN
ejpam-1175	228	33	−	−	PROPN
ejpam-1175	229	1	2bm1k2	2bm1k2	PROPN
ejpam-1175	229	2	′ux	′ux	VERB
ejpam-1175	229	3	uy	uy	PROPN
ejpam-1175	229	4	−	−	PROPN
ejpam-1175	229	5	�	�	PROPN
ejpam-1175	229	6	bk2m1uy	bk2m1uy	PROPN
ejpam-1175	229	7	2	2	NUM
ejpam-1175	229	8	�	�	PROPN
ejpam-1175	229	9	x	x	SYM
ejpam-1175	230	1	+	+	CCONJ
ejpam-1175	230	2	(	(	PUNCT
ejpam-1175	230	3	bm1)x	bm1)x	PROPN
ejpam-1175	230	4	k2uy	k2uy	PROPN
ejpam-1175	230	5	2	2	NUM
ejpam-1175	230	6	,	,	PUNCT
ejpam-1175	230	7	2ck1m2uyux	2ck1m2uyux	NUM
ejpam-1175	230	8	x	x	SYM
ejpam-1175	230	9	=	=	SYM
ejpam-1175	230	10	�	�	PROPN
ejpam-1175	230	11	2ck1m2ux	2ck1m2ux	NUM
ejpam-1175	230	12	uy	uy	PROPN
ejpam-1175	230	13	�	�	PROPN
ejpam-1175	230	14	x	x	PUNCT
ejpam-1175	231	1	−	−	PROPN
ejpam-1175	231	2	2ck1ṁ2ux	2ck1ṁ2ux	NUM
ejpam-1175	231	3	uy	uy	NOUN
ejpam-1175	232	1	−	−	PROPN
ejpam-1175	232	2	�	�	PROPN
ejpam-1175	232	3	ck1m2ux	ck1m2ux	PROPN
ejpam-1175	232	4	2	2	NUM
ejpam-1175	232	5	�	�	PROPN
ejpam-1175	232	6	y	y	PROPN
ejpam-1175	232	7	+	+	CCONJ
ejpam-1175	232	8	(	(	PUNCT
ejpam-1175	232	9	ck1	ck1	PROPN
ejpam-1175	232	10	)	)	PUNCT
ejpam-1175	232	11	′m2ux	′m2ux	PROPN
ejpam-1175	232	12	2	2	NUM
ejpam-1175	232	13	,	,	PUNCT
ejpam-1175	232	14	2ck2m1uyuy	2ck2m1uyuy	NUM
ejpam-1175	232	15	y	y	PROPN
ejpam-1175	232	16	=	=	SYM
ejpam-1175	232	17	�	�	PROPN
ejpam-1175	232	18	ck2m1uy	ck2m1uy	PROPN
ejpam-1175	232	19	2	2	NUM
ejpam-1175	232	20	�	�	PROPN
ejpam-1175	232	21	y	y	PROPN
ejpam-1175	232	22	−	−	PROPN
ejpam-1175	232	23	(	(	PUNCT
ejpam-1175	232	24	ck2	ck2	PROPN
ejpam-1175	232	25	)	)	PUNCT
ejpam-1175	232	26	′m1uy	′m1uy	PROPN
ejpam-1175	232	27	2	2	NUM
ejpam-1175	232	28	,	,	PUNCT
ejpam-1175	232	29	2bruux	2bruux	NUM
ejpam-1175	232	30	=	=	SYM
ejpam-1175	232	31	(	(	PUNCT
ejpam-1175	232	32	bru2)x	bru2)x	PROPN
ejpam-1175	232	33	−	−	PROPN
ejpam-1175	232	34	(	(	PUNCT
ejpam-1175	232	35	br)xu2	br)xu2	PROPN
ejpam-1175	232	36	,	,	PUNCT
ejpam-1175	232	37	2cruuy	2cruuy	PROPN
ejpam-1175	232	38	=	=	SYM
ejpam-1175	232	39	(	(	PUNCT
ejpam-1175	232	40	cru2)y	cru2)y	PROPN
ejpam-1175	232	41	−	−	PROPN
ejpam-1175	232	42	(	(	PUNCT
ejpam-1175	232	43	cr)yu2	cr)yu2	PROPN
ejpam-1175	232	44	,	,	PUNCT
ejpam-1175	232	45	as	as	ADV
ejpam-1175	232	46	well	well	ADV
ejpam-1175	232	47	as	as	ADP
ejpam-1175	232	48	t1	t1	NOUN
ejpam-1175	232	49	is	be	AUX
ejpam-1175	232	50	the	the	DET
ejpam-1175	232	51	coefficient	coefficient	NOUN
ejpam-1175	232	52	of	of	ADP
ejpam-1175	232	53	ux	ux	PROPN
ejpam-1175	232	54	in	in	ADP
ejpam-1175	232	55	lu	lu	PROPN
ejpam-1175	232	56	,	,	PUNCT
ejpam-1175	232	57	or	or	CCONJ
ejpam-1175	232	58	t1	t1	NOUN
ejpam-1175	232	59	=	=	SYM
ejpam-1175	233	1	t1(x	t1(x	PROPN
ejpam-1175	233	2	,	,	PUNCT
ejpam-1175	233	3	y	y	PROPN
ejpam-1175	233	4	)	)	PUNCT
ejpam-1175	233	5	=	=	SYM
ejpam-1175	233	6	k1(y)ṁ2(x	k1(y)ṁ2(x	PROPN
ejpam-1175	233	7	)	)	PUNCT
ejpam-1175	233	8	,	,	PUNCT
ejpam-1175	233	9	(	(	PUNCT
ejpam-1175	233	10	5	5	NUM
ejpam-1175	233	11	)	)	PUNCT
ejpam-1175	233	12	and	and	CCONJ
ejpam-1175	233	13	t2	t2	NOUN
ejpam-1175	233	14	is	be	AUX
ejpam-1175	233	15	the	the	DET
ejpam-1175	233	16	coefficient	coefficient	NOUN
ejpam-1175	233	17	of	of	ADP
ejpam-1175	233	18	uy	uy	PROPN
ejpam-1175	233	19	in	in	ADP
ejpam-1175	233	20	lu	lu	PROPN
ejpam-1175	233	21	,	,	PUNCT
ejpam-1175	233	22	or	or	CCONJ
ejpam-1175	233	23	t2	t2	NOUN
ejpam-1175	233	24	=	=	SYM
ejpam-1175	233	25	t2(x	t2(x	X
ejpam-1175	233	26	,	,	PUNCT
ejpam-1175	233	27	y	y	PROPN
ejpam-1175	233	28	)	)	PUNCT
ejpam-1175	233	29	=	=	SYM
ejpam-1175	233	30	k2	k2	PROPN
ejpam-1175	233	31	′(y)m1(x	′(y)m1(x	NUM
ejpam-1175	233	32	)	)	PUNCT
ejpam-1175	233	33	.	.	PUNCT
ejpam-1175	234	1	(	(	PUNCT
ejpam-1175	234	2	6	6	X
ejpam-1175	234	3	)	)	PUNCT
ejpam-1175	234	4	employing	employ	VERB
ejpam-1175	234	5	these	these	DET
ejpam-1175	234	6	identities	identity	NOUN
ejpam-1175	234	7	and	and	CCONJ
ejpam-1175	234	8	the	the	DET
ejpam-1175	234	9	classical	classical	ADJ
ejpam-1175	234	10	green	green	PROPN
ejpam-1175	234	11	’s	’s	PART
ejpam-1175	234	12	theorem	theorem	NOUN
ejpam-1175	234	13	of	of	ADP
ejpam-1175	234	14	the	the	DET
ejpam-1175	234	15	integral	integral	ADJ
ejpam-1175	234	16	calculus	calculus	NOUN
ejpam-1175	234	17	we	we	PRON
ejpam-1175	234	18	obtain	obtain	VERB
ejpam-1175	234	19	from	from	ADP
ejpam-1175	234	20	(	(	PUNCT
ejpam-1175	234	21	1),(3),(5	1),(3),(5	NUM
ejpam-1175	234	22	)	)	PUNCT
ejpam-1175	234	23	,	,	PUNCT
ejpam-1175	234	24	and	and	CCONJ
ejpam-1175	234	25	(	(	PUNCT
ejpam-1175	234	26	6	6	NUM
ejpam-1175	234	27	)	)	PUNCT
ejpam-1175	235	1	that	that	PRON
ejpam-1175	235	2	0	0	X
ejpam-1175	236	1	=	=	SYM
ejpam-1175	236	2	j	j	NOUN
ejpam-1175	236	3	=	=	SYM
ejpam-1175	237	1	∫∫	∫∫	PROPN
ejpam-1175	237	2	d	d	PROPN
ejpam-1175	237	3	2(bux	2(bux	NOUN
ejpam-1175	237	4	+	+	CCONJ
ejpam-1175	237	5	cuy	cuy	ADJ
ejpam-1175	237	6	)	)	PUNCT
ejpam-1175	237	7	�	�	PROPN
ejpam-1175	237	8	k1(m2ux)x	k1(m2ux)x	VERB
ejpam-1175	238	1	+	+	PROPN
ejpam-1175	238	2	m1(k2uy)y	m1(k2uy)y	PROPN
ejpam-1175	238	3	+	+	CCONJ
ejpam-1175	238	4	ru	ru	PROPN
ejpam-1175	238	5	�	�	PROPN
ejpam-1175	239	1	d	d	PROPN
ejpam-1175	239	2	xd	xd	INTJ
ejpam-1175	239	3	y	y	PROPN
ejpam-1175	239	4	=	=	PUNCT
ejpam-1175	240	1	∫∫	∫∫	PROPN
ejpam-1175	240	2	d	d	X
ejpam-1175	240	3	2(bux	2(bux	NOUN
ejpam-1175	240	4	+	+	CCONJ
ejpam-1175	240	5	cuy	cuy	ADJ
ejpam-1175	240	6	)	)	PUNCT
ejpam-1175	240	7	�	�	PROPN
ejpam-1175	240	8	k1m2ux	k1m2ux	X
ejpam-1175	241	1	x	x	PUNCT
ejpam-1175	242	1	+	+	CCONJ
ejpam-1175	242	2	k2m1uy	k2m1uy	X
ejpam-1175	242	3	y	y	NOUN
ejpam-1175	242	4	+	+	CCONJ
ejpam-1175	242	5	t1ux	t1ux	PUNCT
ejpam-1175	242	6	+	+	PUNCT
ejpam-1175	242	7	t2uy	t2uy	X
ejpam-1175	242	8	+	+	CCONJ
ejpam-1175	242	9	ru	ru	PROPN
ejpam-1175	242	10	�	�	PROPN
ejpam-1175	242	11	d	d	PROPN
ejpam-1175	242	12	xd	xd	INTJ
ejpam-1175	242	13	y	y	PROPN
ejpam-1175	242	14	,	,	PUNCT
ejpam-1175	242	15	=	=	PUNCT
ejpam-1175	242	16	i	i	PROPN
ejpam-1175	242	17	d	d	PROPN
ejpam-1175	242	18	+	+	CCONJ
ejpam-1175	242	19	i∂	i∂	VERB
ejpam-1175	242	20	d	d	PROPN
ejpam-1175	242	21	,	,	PUNCT
ejpam-1175	242	22	(	(	PUNCT
ejpam-1175	242	23	7	7	NUM
ejpam-1175	242	24	)	)	PUNCT
ejpam-1175	242	25	where	where	SCONJ
ejpam-1175	242	26	i	i	X
ejpam-1175	242	27	d	d	NOUN
ejpam-1175	242	28	=	=	PUNCT
ejpam-1175	243	1	∫∫	∫∫	ADV
ejpam-1175	243	2	d	d	ADP
ejpam-1175	243	3	q(ux	q(ux	NOUN
ejpam-1175	243	4	,	,	PUNCT
ejpam-1175	243	5	uy)d	uy)d	PROPN
ejpam-1175	243	6	xd	xd	INTJ
ejpam-1175	243	7	y	y	PROPN
ejpam-1175	243	8	=	=	PUNCT
ejpam-1175	244	1	∫∫	∫∫	PROPN
ejpam-1175	244	2	d	d	PROPN
ejpam-1175	244	3	(	(	PUNCT
ejpam-1175	244	4	aux	aux	PROPN
ejpam-1175	244	5	2	2	NUM
ejpam-1175	244	6	+	+	CCONJ
ejpam-1175	244	7	buy	buy	VERB
ejpam-1175	244	8	2	2	NUM
ejpam-1175	244	9	+	+	NOUN
ejpam-1175	244	10	γu2	γu2	NOUN
ejpam-1175	244	11	+	+	CCONJ
ejpam-1175	244	12	2∆uxuy)d	2∆uxuy)d	PROPN
ejpam-1175	244	13	xd	xd	INTJ
ejpam-1175	244	14	y	y	NOUN
ejpam-1175	244	15	;	;	PUNCT
ejpam-1175	244	16	i∂	i∂	VERB
ejpam-1175	244	17	d	d	PROPN
ejpam-1175	244	18	=	=	SYM
ejpam-1175	244	19	∫	∫	PROPN
ejpam-1175	244	20	∂	∂	NOUN
ejpam-1175	245	1	d	d	PROPN
ejpam-1175	245	2	q̃(ux	q̃(ux	NOUN
ejpam-1175	245	3	,	,	PUNCT
ejpam-1175	245	4	uy	uy	NOUN
ejpam-1175	245	5	)	)	PUNCT
ejpam-1175	245	6	ds	ds	PROPN
ejpam-1175	245	7	=	=	SYM
ejpam-1175	245	8	∫	∫	PROPN
ejpam-1175	245	9	∂	∂	X
ejpam-1175	246	1	d	d	NOUN
ejpam-1175	246	2	(	(	PUNCT
ejpam-1175	246	3	ãux	ãux	PROPN
ejpam-1175	246	4	2	2	NUM
ejpam-1175	246	5	+	+	NOUN
ejpam-1175	246	6	b̃uy	b̃uy	PROPN
ejpam-1175	246	7	2	2	NUM
ejpam-1175	246	8	+	+	NUM
ejpam-1175	246	9	γ̃u2	γ̃u2	NOUN
ejpam-1175	246	10	+	+	CCONJ
ejpam-1175	246	11	2∆̃uxuy)ds	2∆̃uxuy)ds	NUM
ejpam-1175	246	12	,	,	PUNCT
ejpam-1175	246	13	j.	j.	PROPN
ejpam-1175	246	14	rassias	rassias	PROPN
ejpam-1175	246	15	/	/	SYM
ejpam-1175	246	16	eur	eur	PROPN
ejpam-1175	246	17	.	.	PUNCT
ejpam-1175	247	1	j.	j.	PROPN
ejpam-1175	247	2	pure	pure	PROPN
ejpam-1175	247	3	appl	appl	PROPN
ejpam-1175	247	4	.	.	PROPN
ejpam-1175	247	5	math	math	PROPN
ejpam-1175	247	6	,	,	PUNCT
ejpam-1175	247	7	4	4	NUM
ejpam-1175	247	8	(	(	PUNCT
ejpam-1175	247	9	2011	2011	NUM
ejpam-1175	247	10	)	)	PUNCT
ejpam-1175	247	11	,	,	PUNCT
ejpam-1175	247	12	186	186	NUM
ejpam-1175	247	13	-	-	SYM
ejpam-1175	247	14	208	208	NUM
ejpam-1175	247	15	196	196	NUM
ejpam-1175	247	16	with	with	ADP
ejpam-1175	247	17	a=	a=	ADJ
ejpam-1175	247	18	−k1(bm2)x	−k1(bm2)x	NOUN
ejpam-1175	247	19	+	+	CCONJ
ejpam-1175	247	20	(	(	PUNCT
ejpam-1175	247	21	ck1	ck1	NOUN
ejpam-1175	247	22	)	)	PUNCT
ejpam-1175	247	23	′m2	′m2	NOUN
ejpam-1175	247	24	+	+	CCONJ
ejpam-1175	247	25	2bt1	2bt1	NUM
ejpam-1175	247	26	,	,	PUNCT
ejpam-1175	247	27	b	b	X
ejpam-1175	247	28	=	=	SYM
ejpam-1175	247	29	k2(bm1)x	k2(bm1)x	PROPN
ejpam-1175	247	30	−	−	PROPN
ejpam-1175	247	31	(	(	PUNCT
ejpam-1175	247	32	ck2	ck2	PROPN
ejpam-1175	247	33	)	)	PUNCT
ejpam-1175	247	34	′m1	′m1	NOUN
ejpam-1175	248	1	+	+	CCONJ
ejpam-1175	248	2	2ct2	2ct2	NUM
ejpam-1175	248	3	,	,	PUNCT
ejpam-1175	248	4	γ	γ	X
ejpam-1175	248	5	=	=	SYM
ejpam-1175	248	6	−	−	PROPN
ejpam-1175	248	7	�	�	PROPN
ejpam-1175	248	8	(	(	PUNCT
ejpam-1175	248	9	br)x	br)x	PROPN
ejpam-1175	248	10	+	+	CCONJ
ejpam-1175	248	11	(	(	PUNCT
ejpam-1175	248	12	cr)y	cr)y	PROPN
ejpam-1175	248	13	�	�	PROPN
ejpam-1175	248	14	,	,	PUNCT
ejpam-1175	248	15	∆=	∆=	VERB
ejpam-1175	248	16	−	−	PROPN
ejpam-1175	248	17	�	�	PROPN
ejpam-1175	248	18	bk2	bk2	PROPN
ejpam-1175	248	19	′m1	′m1	NOUN
ejpam-1175	248	20	+	+	CCONJ
ejpam-1175	248	21	ck1ṁ2	ck1ṁ2	NOUN
ejpam-1175	248	22	−	−	PROPN
ejpam-1175	248	23	bt2	bt2	NOUN
ejpam-1175	248	24	−	−	PROPN
ejpam-1175	249	1	ct1	ct1	PROPN
ejpam-1175	249	2	�	�	PROPN
ejpam-1175	249	3	=	=	SYM
ejpam-1175	249	4	−	−	PROPN
ejpam-1175	249	5	�	�	PROPN
ejpam-1175	249	6	b(k2	b(k2	NOUN
ejpam-1175	249	7	′m1	′m1	NOUN
ejpam-1175	249	8	−	−	PROPN
ejpam-1175	249	9	t2	t2	NOUN
ejpam-1175	249	10	)	)	PUNCT
ejpam-1175	250	1	+	+	NUM
ejpam-1175	250	2	c(k1ṁ2	c(k1ṁ2	X
ejpam-1175	250	3	−	−	PROPN
ejpam-1175	250	4	t1	t1	PROPN
ejpam-1175	250	5	)	)	PUNCT
ejpam-1175	250	6	�	�	PROPN
ejpam-1175	250	7	=	=	SYM
ejpam-1175	250	8	0	0	PUNCT
ejpam-1175	251	1	(	(	PUNCT
ejpam-1175	251	2	because	because	SCONJ
ejpam-1175	251	3	of	of	ADP
ejpam-1175	251	4	(	(	PUNCT
ejpam-1175	251	5	5	5	NUM
ejpam-1175	251	6	)	)	PUNCT
ejpam-1175	251	7	and	and	CCONJ
ejpam-1175	251	8	(	(	PUNCT
ejpam-1175	251	9	6	6	NUM
ejpam-1175	251	10	)	)	PUNCT
ejpam-1175	251	11	)	)	PUNCT
ejpam-1175	252	1	in	in	ADP
ejpam-1175	252	2	d	d	NOUN
ejpam-1175	252	3	,	,	PUNCT
ejpam-1175	252	4	and	and	CCONJ
ejpam-1175	252	5	ã=	ã=	PROPN
ejpam-1175	252	6	(	(	PUNCT
ejpam-1175	252	7	bv1	bv1	NOUN
ejpam-1175	252	8	−	−	PROPN
ejpam-1175	252	9	cv2)k1m2	cv2)k1m2	PROPN
ejpam-1175	252	10	,	,	PUNCT
ejpam-1175	252	11	b̃	b̃	PROPN
ejpam-1175	252	12	=	=	PUNCT
ejpam-1175	252	13	(	(	PUNCT
ejpam-1175	252	14	−bv1	−bv1	PROPN
ejpam-1175	252	15	+	+	NUM
ejpam-1175	252	16	cv2)k2m1	cv2)k2m1	NOUN
ejpam-1175	252	17	,	,	PUNCT
ejpam-1175	252	18	γ̃	γ̃	PROPN
ejpam-1175	252	19	=	=	SYM
ejpam-1175	252	20	(	(	PUNCT
ejpam-1175	252	21	bv1	bv1	PROPN
ejpam-1175	252	22	+	+	CCONJ
ejpam-1175	252	23	cv2)r	cv2)r	PROPN
ejpam-1175	252	24	,	,	PUNCT
ejpam-1175	252	25	∆̃	∆̃	X
ejpam-1175	252	26	=	=	SYM
ejpam-1175	252	27	bk2m1v2	bk2m1v2	PUNCT
ejpam-1175	252	28	+	+	CCONJ
ejpam-1175	252	29	ck1m2v1	ck1m2v1	ADV
ejpam-1175	252	30	on	on	ADP
ejpam-1175	252	31	∂	∂	NUM
ejpam-1175	252	32	d	d	NOUN
ejpam-1175	252	33	,	,	PUNCT
ejpam-1175	252	34	where	where	SCONJ
ejpam-1175	252	35	v	v	NOUN
ejpam-1175	252	36	=	=	SYM
ejpam-1175	252	37	(	(	PUNCT
ejpam-1175	252	38	v1	v1	NOUN
ejpam-1175	252	39	,	,	PUNCT
ejpam-1175	252	40	v2	v2	NOUN
ejpam-1175	252	41	)	)	PUNCT
ejpam-1175	252	42	=	=	PUNCT
ejpam-1175	253	1	(	(	PUNCT
ejpam-1175	253	2	d	d	X
ejpam-1175	253	3	y	y	PROPN
ejpam-1175	253	4	/	/	SYM
ejpam-1175	253	5	ds,−d	ds,−d	PROPN
ejpam-1175	253	6	x	x	SYM
ejpam-1175	253	7	/	/	SYM
ejpam-1175	253	8	ds	ds	ADJ
ejpam-1175	253	9	)	)	PUNCT
ejpam-1175	253	10	is	be	AUX
ejpam-1175	253	11	the	the	DET
ejpam-1175	253	12	outer	outer	ADJ
ejpam-1175	253	13	unit	unit	NOUN
ejpam-1175	253	14	normal	normal	ADJ
ejpam-1175	253	15	vector	vector	NOUN
ejpam-1175	253	16	on	on	ADP
ejpam-1175	253	17	the	the	DET
ejpam-1175	253	18	boundary	boundary	ADJ
ejpam-1175	253	19	∂	∂	NOUN
ejpam-1175	253	20	d	d	NOUN
ejpam-1175	253	21	of	of	ADP
ejpam-1175	253	22	the	the	DET
ejpam-1175	253	23	domain	domain	NOUN
ejpam-1175	253	24	d	d	X
ejpam-1175	254	1	such	such	ADJ
ejpam-1175	254	2	that	that	DET
ejpam-1175	254	3	ds2	ds2	PROPN
ejpam-1175	254	4	=	=	SYM
ejpam-1175	254	5	d	d	NOUN
ejpam-1175	254	6	x2	x2	PROPN
ejpam-1175	255	1	+	+	CCONJ
ejpam-1175	255	2	d	d	PROPN
ejpam-1175	255	3	y2	y2	PROPN
ejpam-1175	255	4	>	>	X
ejpam-1175	255	5	0	0	PROPN
ejpam-1175	255	6	,	,	PUNCT
ejpam-1175	255	7	|v|=	|v|=	PROPN
ejpam-1175	255	8	1	1	NUM
ejpam-1175	255	9	;	;	PUNCT
ejpam-1175	255	10	∫∫	∫∫	ADV
ejpam-1175	255	11	d	d	PROPN
ejpam-1175	255	12	(	(	PUNCT
ejpam-1175	255	13	)	)	PUNCT
ejpam-1175	255	14	x	x	X
ejpam-1175	256	1	d	d	NOUN
ejpam-1175	256	2	xd	xd	INTJ
ejpam-1175	256	3	y	y	PROPN
ejpam-1175	256	4	=	=	SYM
ejpam-1175	256	5	∫	∫	PROPN
ejpam-1175	256	6	∂	∂	X
ejpam-1175	256	7	d	d	NOUN
ejpam-1175	256	8	(	(	PUNCT
ejpam-1175	256	9	)	)	PUNCT
ejpam-1175	256	10	v1ds	v1ds	NOUN
ejpam-1175	256	11	,	,	PUNCT
ejpam-1175	256	12	∫∫	∫∫	PROPN
ejpam-1175	256	13	d	d	PROPN
ejpam-1175	256	14	(	(	PUNCT
ejpam-1175	256	15	)	)	PUNCT
ejpam-1175	257	1	y	y	PROPN
ejpam-1175	257	2	d	d	NOUN
ejpam-1175	257	3	xd	xd	INTJ
ejpam-1175	257	4	y	y	PROPN
ejpam-1175	257	5	=	=	SYM
ejpam-1175	257	6	∫	∫	PROPN
ejpam-1175	257	7	∂	∂	X
ejpam-1175	257	8	d	d	NOUN
ejpam-1175	257	9	(	(	PUNCT
ejpam-1175	257	10	)	)	PUNCT
ejpam-1175	257	11	v2ds	v2ds	NOUN
ejpam-1175	257	12	are	be	AUX
ejpam-1175	257	13	the	the	DET
ejpam-1175	257	14	green	green	PROPN
ejpam-1175	257	15	’s	’s	PART
ejpam-1175	257	16	integral	integral	ADJ
ejpam-1175	257	17	formulas	formula	NOUN
ejpam-1175	257	18	.	.	PUNCT
ejpam-1175	258	1	from	from	ADP
ejpam-1175	258	2	the	the	DET
ejpam-1175	258	3	above	above	ADJ
ejpam-1175	258	4	conditions	condition	NOUN
ejpam-1175	258	5	,	,	PUNCT
ejpam-1175	258	6	we	we	PRON
ejpam-1175	258	7	obtain	obtain	VERB
ejpam-1175	258	8	0≤	0≤	NUM
ejpam-1175	259	1	a	a	DET
ejpam-1175	259	2	=	=	PUNCT
ejpam-1175	259	3			NOUN
ejpam-1175	259	4			ADP
ejpam-1175	259	5			ADJ
ejpam-1175	259	6	xk1ṁ2	xk1ṁ2	NOUN
ejpam-1175	259	7	+	+	CCONJ
ejpam-1175	259	8	(	(	PUNCT
ejpam-1175	259	9	y	y	PROPN
ejpam-1175	259	10	−	−	PROPN
ejpam-1175	259	11	1)k1	1)k1	NUM
ejpam-1175	259	12	′m2	′m2	NOUN
ejpam-1175	259	13	in	in	ADP
ejpam-1175	259	14	g1	g1	PROPN
ejpam-1175	259	15	xk1ṁ2	xk1ṁ2	PROPN
ejpam-1175	259	16	+	+	CCONJ
ejpam-1175	259	17	yk1	yk1	NOUN
ejpam-1175	259	18	′m2	′m2	ADJ
ejpam-1175	259	19	in	in	ADP
ejpam-1175	259	20	g1	g1	PROPN
ejpam-1175	259	21	′	′	NUM
ejpam-1175	260	1	(	(	PUNCT
ejpam-1175	260	2	x	x	SYM
ejpam-1175	260	3	+	+	NUM
ejpam-1175	260	4	1)k1ṁ2	1)k1ṁ2	NUM
ejpam-1175	260	5	+	+	CCONJ
ejpam-1175	260	6	(	(	PUNCT
ejpam-1175	260	7	y	y	PROPN
ejpam-1175	260	8	−	−	PROPN
ejpam-1175	260	9	1)k1	1)k1	NUM
ejpam-1175	260	10	′m2	′m2	NOUN
ejpam-1175	260	11	in	in	ADP
ejpam-1175	260	12	g1	g1	PROPN
ejpam-1175	260	13	′′	′′	PROPN
ejpam-1175	260	14	(	(	PUNCT
ejpam-1175	260	15	x	x	PROPN
ejpam-1175	260	16	+	+	NUM
ejpam-1175	260	17	1)k1ṁ2	1)k1ṁ2	NUM
ejpam-1175	260	18	+	+	NUM
ejpam-1175	260	19	yk1	yk1	NOUN
ejpam-1175	260	20	′m2	′m2	ADJ
ejpam-1175	260	21	in	in	ADP
ejpam-1175	260	22	g1	g1	PROPN
ejpam-1175	260	23	′′′	′′′	ADV
ejpam-1175	260	24	;	;	PUNCT
ejpam-1175	260	25	0≤	0≤	NUM
ejpam-1175	260	26	a	a	DET
ejpam-1175	260	27	=	=	X
ejpam-1175	260	28			PROPN
ejpam-1175	260	29			ADJ
ejpam-1175	260	30			NOUN
ejpam-1175	261	1	−k1(m2	−k1(m2	PRON
ejpam-1175	261	2	−	−	PROPN
ejpam-1175	261	3	x	x	SYM
ejpam-1175	261	4	ṁ2	ṁ2	PROPN
ejpam-1175	261	5	)	)	PUNCT
ejpam-1175	261	6	in	in	ADP
ejpam-1175	261	7	g2	g2	PROPN
ejpam-1175	261	8	m2	m2	PROPN
ejpam-1175	261	9	�	�	PROPN
ejpam-1175	261	10	k1	k1	PROPN
ejpam-1175	261	11	+	+	CCONJ
ejpam-1175	261	12	(	(	PUNCT
ejpam-1175	261	13	y	y	PROPN
ejpam-1175	261	14	−	−	PROPN
ejpam-1175	261	15	1)k1	1)k1	NUM
ejpam-1175	261	16	′	′	NOUN
ejpam-1175	261	17	�	�	PROPN
ejpam-1175	261	18	in	in	ADP
ejpam-1175	261	19	g2	g2	PROPN
ejpam-1175	261	20	′	′	NUM
ejpam-1175	261	21	−k1	−k1	PROPN
ejpam-1175	261	22	�	�	PROPN
ejpam-1175	261	23	m2	m2	PROPN
ejpam-1175	262	1	−	−	PROPN
ejpam-1175	263	1	(	(	PUNCT
ejpam-1175	263	2	x	x	SYM
ejpam-1175	263	3	+	+	NUM
ejpam-1175	263	4	1)ṁ2	1)ṁ2	NUM
ejpam-1175	263	5	�	�	PROPN
ejpam-1175	263	6	in	in	ADP
ejpam-1175	263	7	g2	g2	PROPN
ejpam-1175	263	8	′′	′′	PROPN
ejpam-1175	263	9	m2	m2	PROPN
ejpam-1175	263	10	�	�	PROPN
ejpam-1175	263	11	k1	k1	PROPN
ejpam-1175	263	12	+	+	CCONJ
ejpam-1175	263	13	yk1	yk1	NOUN
ejpam-1175	263	14	′	′	NOUN
ejpam-1175	263	15	�	�	PROPN
ejpam-1175	263	16	in	in	ADP
ejpam-1175	263	17	g2	g2	PROPN
ejpam-1175	263	18	′′′	′′′	PROPN
ejpam-1175	263	19	.	.	PUNCT
ejpam-1175	264	1	similarly	similarly	ADV
ejpam-1175	264	2	we	we	PRON
ejpam-1175	264	3	get	get	VERB
ejpam-1175	264	4	0≤	0≤	ADJ
ejpam-1175	265	1	b	b	X
ejpam-1175	266	1	=	=	PUNCT
ejpam-1175	267	1			PROPN
ejpam-1175	267	2			PROPN
ejpam-1175	267	3			PROPN
ejpam-1175	267	4	xk2ṁ1	xk2ṁ1	PROPN
ejpam-1175	268	1	+	+	CCONJ
ejpam-1175	268	2	(	(	PUNCT
ejpam-1175	268	3	y	y	PROPN
ejpam-1175	268	4	−	−	PROPN
ejpam-1175	268	5	1)k2	1)k2	PROPN
ejpam-1175	268	6	′m1	′m1	NOUN
ejpam-1175	268	7	in	in	ADP
ejpam-1175	268	8	g1	g1	PROPN
ejpam-1175	268	9	xk2ṁ1	xk2ṁ1	PROPN
ejpam-1175	269	1	+	+	CCONJ
ejpam-1175	269	2	yk2	yk2	VERB
ejpam-1175	269	3	′m1	′m1	NOUN
ejpam-1175	269	4	in	in	ADP
ejpam-1175	269	5	g1	g1	PROPN
ejpam-1175	269	6	′	′	NUM
ejpam-1175	270	1	(	(	PUNCT
ejpam-1175	270	2	x	x	SYM
ejpam-1175	270	3	+	+	NUM
ejpam-1175	270	4	1)k2ṁ1	1)k2ṁ1	NUM
ejpam-1175	270	5	+	+	CCONJ
ejpam-1175	270	6	(	(	PUNCT
ejpam-1175	270	7	y	y	PROPN
ejpam-1175	270	8	−	−	PROPN
ejpam-1175	270	9	1)k2	1)k2	PROPN
ejpam-1175	270	10	′m1	′m1	NOUN
ejpam-1175	270	11	in	in	ADP
ejpam-1175	270	12	g1	g1	PROPN
ejpam-1175	270	13	′′	′′	PROPN
ejpam-1175	270	14	(	(	PUNCT
ejpam-1175	270	15	x	x	PROPN
ejpam-1175	270	16	+	+	NUM
ejpam-1175	270	17	1)k2ṁ1	1)k2ṁ1	NUM
ejpam-1175	270	18	+	+	CCONJ
ejpam-1175	270	19	yk2	yk2	VERB
ejpam-1175	270	20	′m1	′m1	NOUN
ejpam-1175	270	21	in	in	ADP
ejpam-1175	270	22	g1	g1	PROPN
ejpam-1175	270	23	′′′	′′′	PROPN
ejpam-1175	270	24	;	;	PUNCT
ejpam-1175	270	25	0≤	0≤	NUM
ejpam-1175	270	26	b	b	X
ejpam-1175	270	27	=	=	SYM
ejpam-1175	270	28			PROPN
ejpam-1175	270	29			ADJ
ejpam-1175	270	30			ADJ
ejpam-1175	270	31	k2(m1	k2(m1	NOUN
ejpam-1175	270	32	+	+	CCONJ
ejpam-1175	270	33	x	x	SYM
ejpam-1175	270	34	ṁ1	ṁ1	PROPN
ejpam-1175	270	35	)	)	PUNCT
ejpam-1175	270	36	in	in	ADP
ejpam-1175	270	37	g2	g2	PROPN
ejpam-1175	270	38	−m1	−m1	PROPN
ejpam-1175	270	39	�	�	PROPN
ejpam-1175	270	40	k2−	k2−	PROPN
ejpam-1175	270	41	(	(	PUNCT
ejpam-1175	270	42	y	y	PROPN
ejpam-1175	270	43	−	−	PROPN
ejpam-1175	271	1	1)k2	1)k2	NUM
ejpam-1175	271	2	′	′	NUM
ejpam-1175	271	3	�	�	PROPN
ejpam-1175	271	4	in	in	ADP
ejpam-1175	271	5	g2	g2	PROPN
ejpam-1175	271	6	′	′	PROPN
ejpam-1175	271	7	k2	k2	PROPN
ejpam-1175	271	8	�	�	PROPN
ejpam-1175	271	9	m1	m1	PROPN
ejpam-1175	271	10	+	+	CCONJ
ejpam-1175	271	11	(	(	PUNCT
ejpam-1175	271	12	x	x	SYM
ejpam-1175	271	13	+	+	NUM
ejpam-1175	271	14	1)ṁ1	1)ṁ1	NUM
ejpam-1175	271	15	�	�	PROPN
ejpam-1175	271	16	in	in	ADP
ejpam-1175	271	17	g2	g2	PROPN
ejpam-1175	271	18	′′	′′	PROPN
ejpam-1175	271	19	−m1	−m1	PROPN
ejpam-1175	271	20	�	�	PROPN
ejpam-1175	271	21	k2−	k2−	PROPN
ejpam-1175	271	22	yk2	yk2	PROPN
ejpam-1175	271	23	′	′	NUM
ejpam-1175	271	24	�	�	PROPN
ejpam-1175	271	25	in	in	ADP
ejpam-1175	271	26	g2	g2	PROPN
ejpam-1175	271	27	′′′	′′′	PROPN
ejpam-1175	271	28	.	.	PUNCT
ejpam-1175	272	1	also	also	ADV
ejpam-1175	272	2	0≤	0≤	NUM
ejpam-1175	272	3	γ	γ	X
ejpam-1175	272	4	=	=	SYM
ejpam-1175	272	5	−	−	PROPN
ejpam-1175	272	6			PROPN
ejpam-1175	272	7			ADP
ejpam-1175	272	8			NOUN
ejpam-1175	272	9	2r	2r	NUM
ejpam-1175	273	1	+	+	CCONJ
ejpam-1175	273	2	x	x	PUNCT
ejpam-1175	273	3	rx	rx	VERB
ejpam-1175	273	4	+	+	CCONJ
ejpam-1175	273	5	(	(	PUNCT
ejpam-1175	273	6	y	y	PROPN
ejpam-1175	273	7	−	−	PROPN
ejpam-1175	274	1	1)ry	1)ry	PROPN
ejpam-1175	274	2	in	in	ADP
ejpam-1175	274	3	g1	g1	PROPN
ejpam-1175	274	4	2r	2r	NUM
ejpam-1175	275	1	+	+	CCONJ
ejpam-1175	275	2	x	x	PUNCT
ejpam-1175	275	3	rx	rx	VERB
ejpam-1175	275	4	+	+	CCONJ
ejpam-1175	275	5	yry	yry	NOUN
ejpam-1175	275	6	in	in	ADP
ejpam-1175	275	7	g1	g1	PROPN
ejpam-1175	275	8	′	′	NUM
ejpam-1175	275	9	2r	2r	NUM
ejpam-1175	276	1	+	+	CCONJ
ejpam-1175	276	2	(	(	PUNCT
ejpam-1175	276	3	x	x	SYM
ejpam-1175	276	4	+	+	CCONJ
ejpam-1175	276	5	1)rx	1)rx	NOUN
ejpam-1175	276	6	+	+	CCONJ
ejpam-1175	276	7	(	(	PUNCT
ejpam-1175	276	8	y	y	PROPN
ejpam-1175	276	9	−	−	PROPN
ejpam-1175	277	1	1)ry	1)ry	PROPN
ejpam-1175	277	2	in	in	ADP
ejpam-1175	277	3	g1	g1	PROPN
ejpam-1175	277	4	′′	′′	PROPN
ejpam-1175	278	1	2r	2r	PRON
ejpam-1175	279	1	+	+	CCONJ
ejpam-1175	279	2	(	(	PUNCT
ejpam-1175	279	3	x	x	SYM
ejpam-1175	279	4	+	+	NUM
ejpam-1175	279	5	1)rx	1)rx	NOUN
ejpam-1175	279	6	+	+	CCONJ
ejpam-1175	279	7	yry	yry	NOUN
ejpam-1175	279	8	in	in	ADP
ejpam-1175	279	9	g1	g1	PROPN
ejpam-1175	279	10	′′′	′′′	PROPN
ejpam-1175	279	11	;	;	PUNCT
ejpam-1175	279	12	0≤	0≤	NUM
ejpam-1175	279	13	γ	γ	X
ejpam-1175	279	14	=	=	SYM
ejpam-1175	279	15	−	−	PROPN
ejpam-1175	279	16			PROPN
ejpam-1175	279	17			ADP
ejpam-1175	279	18			NOUN
ejpam-1175	279	19	r	r	NOUN
ejpam-1175	280	1	+	+	CCONJ
ejpam-1175	280	2	x	x	PUNCT
ejpam-1175	280	3	rx	rx	VERB
ejpam-1175	280	4	in	in	ADP
ejpam-1175	280	5	g2	g2	PROPN
ejpam-1175	280	6	r	r	NOUN
ejpam-1175	281	1	+	+	CCONJ
ejpam-1175	281	2	(	(	PUNCT
ejpam-1175	281	3	y	y	PROPN
ejpam-1175	281	4	−	−	PROPN
ejpam-1175	281	5	1)ry	1)ry	PROPN
ejpam-1175	281	6	in	in	ADP
ejpam-1175	281	7	g2	g2	PROPN
ejpam-1175	281	8	′	′	NUM
ejpam-1175	282	1	r	r	NOUN
ejpam-1175	282	2	+	+	CCONJ
ejpam-1175	282	3	(	(	PUNCT
ejpam-1175	282	4	x	x	SYM
ejpam-1175	282	5	+	+	CCONJ
ejpam-1175	282	6	1)rx	1)rx	NOUN
ejpam-1175	282	7	in	in	ADP
ejpam-1175	282	8	g2	g2	PROPN
ejpam-1175	282	9	′′	′′	PROPN
ejpam-1175	282	10	r	r	NOUN
ejpam-1175	282	11	+	+	NUM
ejpam-1175	282	12	yry	yry	NOUN
ejpam-1175	282	13	in	in	ADP
ejpam-1175	282	14	g2	g2	PROPN
ejpam-1175	282	15	′′′	′′′	PROPN
ejpam-1175	282	16	.	.	PUNCT
ejpam-1175	283	1	j.	j.	PROPN
ejpam-1175	283	2	rassias	rassias	PROPN
ejpam-1175	283	3	/	/	SYM
ejpam-1175	283	4	eur	eur	PROPN
ejpam-1175	283	5	.	.	PUNCT
ejpam-1175	284	1	j.	j.	PROPN
ejpam-1175	284	2	pure	pure	PROPN
ejpam-1175	284	3	appl	appl	PROPN
ejpam-1175	284	4	.	.	PROPN
ejpam-1175	284	5	math	math	PROPN
ejpam-1175	284	6	,	,	PUNCT
ejpam-1175	284	7	4	4	NUM
ejpam-1175	284	8	(	(	PUNCT
ejpam-1175	284	9	2011	2011	NUM
ejpam-1175	284	10	)	)	PUNCT
ejpam-1175	284	11	,	,	PUNCT
ejpam-1175	284	12	186	186	NUM
ejpam-1175	284	13	-	-	SYM
ejpam-1175	284	14	208	208	NUM
ejpam-1175	284	15	197	197	NUM
ejpam-1175	284	16	therefore	therefore	ADV
ejpam-1175	284	17	,	,	PUNCT
ejpam-1175	284	18	i	i	PROPN
ejpam-1175	284	19	d	d	NOUN
ejpam-1175	284	20	=	=	SYM
ejpam-1175	285	1	∫	∫	PROPN
ejpam-1175	286	1	∫	∫	PROPN
ejpam-1175	287	1	d	d	X
ejpam-1175	287	2	=	=	SYM
ejpam-1175	287	3	∫	∫	PROPN
ejpam-1175	287	4	∫	∫	PROPN
ejpam-1175	287	5	g1∪g1	g1∪g1	NOUN
ejpam-1175	287	6	′∪g1	′∪g1	PROPN
ejpam-1175	287	7	′′∪g1	′′∪g1	NOUN
ejpam-1175	287	8	′′′	′′′	PROPN
ejpam-1175	288	1	+	+	CCONJ
ejpam-1175	288	2	∫	∫	PROPN
ejpam-1175	288	3	∫	∫	PROPN
ejpam-1175	288	4	g2∪g2	g2∪g2	PROPN
ejpam-1175	288	5	′∪g2	′∪g2	VERB
ejpam-1175	288	6	′′∪g2	′′∪g2	PROPN
ejpam-1175	288	7	′′′	′′′	PROPN
ejpam-1175	288	8	=	=	PUNCT
ejpam-1175	288	9	�	�	PROPN
ejpam-1175	288	10	∫∫	∫∫	ADV
ejpam-1175	288	11	g1	g1	VERB
ejpam-1175	288	12	+	+	CCONJ
ejpam-1175	289	1	∫∫	∫∫	ADV
ejpam-1175	289	2	g1	g1	VERB
ejpam-1175	289	3	′	′	NOUN
ejpam-1175	290	1	+	+	PUNCT
ejpam-1175	291	1	∫∫	∫∫	ADV
ejpam-1175	291	2	g1	g1	VERB
ejpam-1175	291	3	′′	′′	PROPN
ejpam-1175	291	4	+	+	CCONJ
ejpam-1175	291	5	∫∫	∫∫	ADV
ejpam-1175	291	6	g1	g1	VERB
ejpam-1175	291	7	′′′	′′′	PROPN
ejpam-1175	291	8	�	�	PROPN
ejpam-1175	291	9	+	+	CCONJ
ejpam-1175	291	10	�	�	PROPN
ejpam-1175	292	1	∫∫	∫∫	PROPN
ejpam-1175	292	2	g2	g2	PROPN
ejpam-1175	292	3	+	+	CCONJ
ejpam-1175	293	1	∫∫	∫∫	ADV
ejpam-1175	293	2	g2	g2	NOUN
ejpam-1175	293	3	′	′	NOUN
ejpam-1175	294	1	+	+	CCONJ
ejpam-1175	295	1	∫∫	∫∫	ADV
ejpam-1175	295	2	g2	g2	NOUN
ejpam-1175	295	3	′′	′′	PROPN
ejpam-1175	295	4	+	+	CCONJ
ejpam-1175	296	1	∫∫	∫∫	PROPN
ejpam-1175	296	2	g2	g2	PROPN
ejpam-1175	296	3	′′′	′′′	PROPN
ejpam-1175	296	4	�	�	PROPN
ejpam-1175	296	5	≥	≥	PROPN
ejpam-1175	296	6	0	0	NUM
ejpam-1175	296	7	.	.	PUNCT
ejpam-1175	297	1	we	we	PRON
ejpam-1175	297	2	claim	claim	VERB
ejpam-1175	297	3	that	that	SCONJ
ejpam-1175	297	4	i∂	i∂	VERB
ejpam-1175	297	5	d	d	X
ejpam-1175	297	6	=	=	PUNCT
ejpam-1175	297	7	ie	ie	X
ejpam-1175	297	8	x	x	NOUN
ejpam-1175	297	9	t(d	t(d	NOUN
ejpam-1175	297	10	)	)	PUNCT
ejpam-1175	297	11	⋃	⋃	ADP
ejpam-1175	297	12	i	i	PRON
ejpam-1175	297	13	nt(d	nt(d	ADJ
ejpam-1175	297	14	)	)	PUNCT
ejpam-1175	297	15	=	=	SYM
ejpam-1175	297	16	ie	ie	X
ejpam-1175	297	17	x	x	NOUN
ejpam-1175	297	18	t(d	t(d	NOUN
ejpam-1175	297	19	)	)	PUNCT
ejpam-1175	297	20	+	+	NUM
ejpam-1175	297	21	ii	ii	PROPN
ejpam-1175	297	22	nt(d	nt(d	NUM
ejpam-1175	297	23	)	)	PUNCT
ejpam-1175	297	24	≥	≥	NOUN
ejpam-1175	297	25	0	0	NUM
ejpam-1175	297	26	,	,	PUNCT
ejpam-1175	297	27	where	where	SCONJ
ejpam-1175	297	28	ie	ie	ADV
ejpam-1175	297	29	x	x	SYM
ejpam-1175	297	30	t(d	t(d	NOUN
ejpam-1175	297	31	)	)	PUNCT
ejpam-1175	297	32	=	=	SYM
ejpam-1175	297	33	�	�	PROPN
ejpam-1175	297	34	∫	∫	PROPN
ejpam-1175	297	35	γ0	γ0	PROPN
ejpam-1175	297	36	+	+	CCONJ
ejpam-1175	297	37	∫	∫	PROPN
ejpam-1175	297	38	γ0	γ0	PROPN
ejpam-1175	297	39	′	′	NUM
ejpam-1175	298	1	+	+	CCONJ
ejpam-1175	298	2	∫	∫	PROPN
ejpam-1175	298	3	γ0	γ0	NOUN
ejpam-1175	298	4	′′	′′	PROPN
ejpam-1175	298	5	+	+	CCONJ
ejpam-1175	298	6	∫	∫	PROPN
ejpam-1175	298	7	γ0	γ0	PROPN
ejpam-1175	298	8	′′′	′′′	PROPN
ejpam-1175	298	9	�	�	PROPN
ejpam-1175	298	10	+	+	CCONJ
ejpam-1175	298	11	�	�	PROPN
ejpam-1175	298	12	∫	∫	PROPN
ejpam-1175	298	13	γ2	γ2	PROPN
ejpam-1175	298	14	+	+	CCONJ
ejpam-1175	298	15	∫	∫	PROPN
ejpam-1175	298	16	γ2	γ2	PROPN
ejpam-1175	298	17	′	′	PROPN
ejpam-1175	298	18	�	�	PROPN
ejpam-1175	298	19	+	+	CCONJ
ejpam-1175	298	20	�	�	PROPN
ejpam-1175	298	21	∫	∫	PROPN
ejpam-1175	298	22	γ2	γ2	PROPN
ejpam-1175	298	23	+	+	CCONJ
ejpam-1175	298	24	∫	∫	PROPN
ejpam-1175	298	25	γ2	γ2	PROPN
ejpam-1175	298	26	′	′	PROPN
ejpam-1175	298	27	�	�	PROPN
ejpam-1175	298	28	+	+	CCONJ
ejpam-1175	298	29	�	�	PROPN
ejpam-1175	298	30	∫	∫	PROPN
ejpam-1175	298	31	∆1	∆1	PROPN
ejpam-1175	299	1	+	+	NUM
ejpam-1175	299	2	∫	∫	PROPN
ejpam-1175	299	3	∆1	∆1	NUM
ejpam-1175	299	4	′	′	NUM
ejpam-1175	299	5	�	�	PROPN
ejpam-1175	299	6	+	+	CCONJ
ejpam-1175	299	7	�	�	PROPN
ejpam-1175	299	8	∫	∫	PROPN
ejpam-1175	299	9	δ1	δ1	NOUN
ejpam-1175	299	10	+	+	CCONJ
ejpam-1175	299	11	∫	∫	PROPN
ejpam-1175	299	12	δ1	δ1	NOUN
ejpam-1175	299	13	′	′	PROPN
ejpam-1175	299	14	�	�	PROPN
ejpam-1175	299	15	≥	≥	PROPN
ejpam-1175	299	16	0	0	NUM
ejpam-1175	299	17	,	,	PUNCT
ejpam-1175	299	18	and	and	CCONJ
ejpam-1175	299	19	ii	ii	PROPN
ejpam-1175	299	20	nt(d	nt(d	NUM
ejpam-1175	299	21	)	)	PUNCT
ejpam-1175	299	22	=	=	SYM
ejpam-1175	299	23	�	�	PROPN
ejpam-1175	299	24	∫	∫	PROPN
ejpam-1175	299	25	γ1	γ1	PROPN
ejpam-1175	299	26	+	+	CCONJ
ejpam-1175	299	27	∫	∫	PROPN
ejpam-1175	299	28	γ1	γ1	PROPN
ejpam-1175	299	29	′	′	PROPN
ejpam-1175	299	30	�	�	PROPN
ejpam-1175	299	31	+	+	CCONJ
ejpam-1175	299	32	�	�	PROPN
ejpam-1175	299	33	∫	∫	PROPN
ejpam-1175	299	34	γ1	γ1	PROPN
ejpam-1175	299	35	+	+	CCONJ
ejpam-1175	299	36	∫	∫	PROPN
ejpam-1175	299	37	γ1	γ1	PROPN
ejpam-1175	299	38	′	′	PROPN
ejpam-1175	299	39	�	�	PROPN
ejpam-1175	299	40	+	+	CCONJ
ejpam-1175	299	41	�	�	PROPN
ejpam-1175	299	42	∫	∫	PROPN
ejpam-1175	299	43	∆2	∆2	PROPN
ejpam-1175	300	1	+	+	CCONJ
ejpam-1175	300	2	∫	∫	PROPN
ejpam-1175	300	3	∆2	∆2	PROPN
ejpam-1175	300	4	′	′	PROPN
ejpam-1175	300	5	�	�	PROPN
ejpam-1175	300	6	+	+	CCONJ
ejpam-1175	300	7	�	�	PROPN
ejpam-1175	300	8	∫	∫	PROPN
ejpam-1175	300	9	δ2	δ2	PROPN
ejpam-1175	300	10	+	+	CCONJ
ejpam-1175	300	11	∫	∫	PROPN
ejpam-1175	300	12	δ2	δ2	VERB
ejpam-1175	300	13	′	′	PROPN
ejpam-1175	300	14	�	�	PROPN
ejpam-1175	300	15	≥	≥	PROPN
ejpam-1175	300	16	0	0	NUM
ejpam-1175	300	17	.	.	PUNCT
ejpam-1175	301	1	in	in	ADP
ejpam-1175	301	2	fact	fact	NOUN
ejpam-1175	301	3	,	,	PUNCT
ejpam-1175	301	4	on	on	ADP
ejpam-1175	301	5	γ0	γ0	NOUN
ejpam-1175	301	6	with	with	ADP
ejpam-1175	301	7	b	b	NOUN
ejpam-1175	301	8	=	=	SYM
ejpam-1175	301	9	x	x	PROPN
ejpam-1175	301	10	,	,	PUNCT
ejpam-1175	301	11	c	c	X
ejpam-1175	301	12	=	=	SYM
ejpam-1175	301	13	y	y	PROPN
ejpam-1175	301	14	+	+	NOUN
ejpam-1175	301	15	1	1	NUM
ejpam-1175	301	16	:	:	PUNCT
ejpam-1175	301	17	ã=	ã=	PROPN
ejpam-1175	301	18	�	�	PROPN
ejpam-1175	301	19	x	x	PUNCT
ejpam-1175	301	20	v1−	v1−	PROPN
ejpam-1175	301	21	(	(	PUNCT
ejpam-1175	301	22	y	y	PROPN
ejpam-1175	301	23	+	+	CCONJ
ejpam-1175	301	24	1)v2	1)v2	PROPN
ejpam-1175	301	25	�	�	PROPN
ejpam-1175	301	26	k1m2	k1m2	X
ejpam-1175	301	27	≥	≥	X
ejpam-1175	301	28	0	0	NUM
ejpam-1175	301	29	,	,	PUNCT
ejpam-1175	301	30	b̃	b̃	PROPN
ejpam-1175	301	31	=	=	PROPN
ejpam-1175	301	32	�	�	PROPN
ejpam-1175	302	1	−	−	NOUN
ejpam-1175	302	2	x	x	SYM
ejpam-1175	302	3	v1	v1	PROPN
ejpam-1175	302	4	+	+	CCONJ
ejpam-1175	302	5	(	(	PUNCT
ejpam-1175	302	6	y	y	PROPN
ejpam-1175	302	7	+	+	CCONJ
ejpam-1175	302	8	1)v2	1)v2	PROPN
ejpam-1175	302	9	�	�	PROPN
ejpam-1175	302	10	k2m1	k2m1	ADP
ejpam-1175	302	11	≥	≥	NOUN
ejpam-1175	302	12	0	0	NUM
ejpam-1175	302	13	;	;	PUNCT
ejpam-1175	302	14	γ̃	γ̃	PROPN
ejpam-1175	302	15	=	=	SYM
ejpam-1175	302	16	�	�	PROPN
ejpam-1175	302	17	x	x	SYM
ejpam-1175	302	18	v1	v1	PROPN
ejpam-1175	302	19	+	+	CCONJ
ejpam-1175	302	20	(	(	PUNCT
ejpam-1175	302	21	y	y	PROPN
ejpam-1175	302	22	+	+	CCONJ
ejpam-1175	302	23	1)v2	1)v2	PROPN
ejpam-1175	302	24	�	�	PROPN
ejpam-1175	302	25	r	r	NOUN
ejpam-1175	302	26	≥	≥	NOUN
ejpam-1175	302	27	0	0	NUM
ejpam-1175	302	28	;	;	PUNCT
ejpam-1175	302	29	∆̃	∆̃	X
ejpam-1175	302	30	=	=	PUNCT
ejpam-1175	302	31	xk2m1v2	xk2m1v2	PROPN
ejpam-1175	303	1	+	+	CCONJ
ejpam-1175	303	2	(	(	PUNCT
ejpam-1175	303	3	y	y	PROPN
ejpam-1175	303	4	+	+	NOUN
ejpam-1175	303	5	1)k1m2v1	1)k1m2v1	NUM
ejpam-1175	303	6	.	.	PUNCT
ejpam-1175	304	1	iγ0	iγ0	PROPN
ejpam-1175	305	1	=	=	SYM
ejpam-1175	305	2	∫	∫	PROPN
ejpam-1175	305	3	γ0	γ0	PROPN
ejpam-1175	305	4	q̃(ux	q̃(ux	NOUN
ejpam-1175	305	5	,	,	PUNCT
ejpam-1175	305	6	uy	uy	NOUN
ejpam-1175	305	7	)	)	PUNCT
ejpam-1175	305	8	ds+	ds+	PROPN
ejpam-1175	305	9	∫	∫	PROPN
ejpam-1175	305	10	γ0	γ0	PROPN
ejpam-1175	305	11	γ̃u2ds	γ̃u2ds	PROPN
ejpam-1175	305	12	=	=	SYM
ejpam-1175	305	13	∫	∫	PROPN
ejpam-1175	305	14	γ0	γ0	PROPN
ejpam-1175	305	15	n2	n2	PROPN
ejpam-1175	305	16	�	�	PROPN
ejpam-1175	305	17	x	x	SYM
ejpam-1175	305	18	v1	v1	PROPN
ejpam-1175	305	19	+	+	CCONJ
ejpam-1175	305	20	(	(	PUNCT
ejpam-1175	305	21	y	y	PROPN
ejpam-1175	305	22	+	+	CCONJ
ejpam-1175	305	23	1)v2	1)v2	PROPN
ejpam-1175	305	24	�	�	PROPN
ejpam-1175	305	25	hds+	hds+	PROPN
ejpam-1175	305	26	∫	∫	PROPN
ejpam-1175	305	27	γ0	γ0	PROPN
ejpam-1175	305	28	�	�	PROPN
ejpam-1175	305	29	x	x	SYM
ejpam-1175	305	30	v1	v1	PROPN
ejpam-1175	305	31	+	+	CCONJ
ejpam-1175	305	32	(	(	PUNCT
ejpam-1175	305	33	y	y	PROPN
ejpam-1175	305	34	+	+	CCONJ
ejpam-1175	305	35	1)v2	1)v2	PROPN
ejpam-1175	305	36	�	�	PROPN
ejpam-1175	305	37	ru2ds	ru2ds	NOUN
ejpam-1175	305	38	,	,	PUNCT
ejpam-1175	305	39	=	=	SYM
ejpam-1175	305	40	∫	∫	PROPN
ejpam-1175	305	41	γ0	γ0	PROPN
ejpam-1175	305	42	n2	n2	PROPN
ejpam-1175	305	43	�	�	PROPN
ejpam-1175	305	44	xd	xd	INTJ
ejpam-1175	305	45	y	y	PROPN
ejpam-1175	305	46	−	−	PROPN
ejpam-1175	305	47	(	(	PUNCT
ejpam-1175	305	48	y	y	PROPN
ejpam-1175	305	49	+	+	NOUN
ejpam-1175	305	50	1)d	1)d	NUM
ejpam-1175	305	51	x	x	SYM
ejpam-1175	305	52	�	�	PROPN
ejpam-1175	305	53	h	h	PROPN
ejpam-1175	305	54	≥	≥	NOUN
ejpam-1175	305	55	0	0	NUM
ejpam-1175	305	56	where	where	SCONJ
ejpam-1175	305	57	u|γ0	u|γ0	PROPN
ejpam-1175	305	58	=	=	SYM
ejpam-1175	305	59	0	0	NUM
ejpam-1175	305	60	and	and	CCONJ
ejpam-1175	305	61	0=	0=	NOUN
ejpam-1175	305	62	du=	du=	INTJ
ejpam-1175	305	63	ux	ux	PROPN
ejpam-1175	306	1	d	d	NOUN
ejpam-1175	306	2	x	x	PROPN
ejpam-1175	307	1	+	+	CCONJ
ejpam-1175	307	2	uy	uy	X
ejpam-1175	307	3	d	d	X
ejpam-1175	307	4	y	y	PROPN
ejpam-1175	307	5	=	=	SYM
ejpam-1175	307	6	n	n	PRON
ejpam-1175	307	7	�	�	PROPN
ejpam-1175	307	8	v1d	v1d	VERB
ejpam-1175	307	9	x	x	X
ejpam-1175	307	10	+	+	X
ejpam-1175	307	11	v2d	v2d	VERB
ejpam-1175	307	12	y	y	PROPN
ejpam-1175	307	13	�	�	PROPN
ejpam-1175	307	14	;	;	PUNCT
ejpam-1175	307	15	ux	ux	PROPN
ejpam-1175	307	16	=	=	SYM
ejpam-1175	307	17	n	n	PRON
ejpam-1175	307	18	v1	v1	NOUN
ejpam-1175	307	19	,	,	PUNCT
ejpam-1175	307	20	uy	uy	NOUN
ejpam-1175	307	21	=	=	SYM
ejpam-1175	307	22	n	n	NUM
ejpam-1175	307	23	v2	v2	PROPN
ejpam-1175	307	24	,	,	PUNCT
ejpam-1175	307	25	with	with	ADP
ejpam-1175	307	26	a	a	DET
ejpam-1175	307	27	normalizing	normalizing	ADJ
ejpam-1175	307	28	factor	factor	NOUN
ejpam-1175	307	29	n	n	NOUN
ejpam-1175	307	30	,	,	PUNCT
ejpam-1175	307	31	and	and	CCONJ
ejpam-1175	308	1	h|γ0	h|γ0	PROPN
ejpam-1175	308	2	=	=	SYM
ejpam-1175	308	3	k1m2v1	k1m2v1	PROPN
ejpam-1175	308	4	2+k2m1v2	2+k2m1v2	NUM
ejpam-1175	308	5	2	2	NUM
ejpam-1175	308	6	>	>	X
ejpam-1175	308	7	0	0	NUM
ejpam-1175	308	8	,	,	PUNCT
ejpam-1175	308	9	as	as	ADV
ejpam-1175	308	10	well	well	ADV
ejpam-1175	308	11	as	as	ADP
ejpam-1175	308	12	γ0	γ0	NOUN
ejpam-1175	308	13	is	be	AUX
ejpam-1175	308	14	a	a	DET
ejpam-1175	308	15	“	"	PUNCT
ejpam-1175	308	16	star	star	NOUN
ejpam-1175	308	17	-	-	PUNCT
ejpam-1175	308	18	liked	like	VERB
ejpam-1175	308	19	”	"	PUNCT
ejpam-1175	308	20	arc	arc	NOUN
ejpam-1175	308	21	,	,	PUNCT
ejpam-1175	309	1	such	such	ADJ
ejpam-1175	309	2	that	that	SCONJ
ejpam-1175	309	3	xd	xd	INTJ
ejpam-1175	309	4	y	y	PROPN
ejpam-1175	309	5	−	−	PROPN
ejpam-1175	310	1	(	(	PUNCT
ejpam-1175	310	2	y	y	PROPN
ejpam-1175	310	3	+	+	NOUN
ejpam-1175	310	4	1)d	1)d	NUM
ejpam-1175	310	5	x	x	SYM
ejpam-1175	310	6	|γ0	|γ0	PROPN
ejpam-1175	310	7	≥	≥	NOUN
ejpam-1175	310	8	0	0	NUM
ejpam-1175	310	9	and	and	CCONJ
ejpam-1175	310	10	q̃	q̃	PROPN
ejpam-1175	310	11	=	=	NOUN
ejpam-1175	310	12	q̃(ux	q̃(ux	NOUN
ejpam-1175	310	13	,	,	PUNCT
ejpam-1175	310	14	uy	uy	X
ejpam-1175	310	15	)	)	PUNCT
ejpam-1175	311	1	=	=	PUNCT
ejpam-1175	312	1	[	[	X
ejpam-1175	312	2	ãux	ãux	ADP
ejpam-1175	312	3	2	2	NUM
ejpam-1175	312	4	+	+	NOUN
ejpam-1175	312	5	b̃uy	b̃uy	PROPN
ejpam-1175	312	6	2	2	NUM
ejpam-1175	312	7	+	+	CCONJ
ejpam-1175	312	8	2∆̃uxuy]|γ0	2∆̃uxuy]|γ0	PROPN
ejpam-1175	312	9	=	=	SYM
ejpam-1175	312	10	n2	n2	PROPN
ejpam-1175	312	11	�	�	PROPN
ejpam-1175	312	12	x	x	SYM
ejpam-1175	312	13	v1	v1	PROPN
ejpam-1175	312	14	+	+	CCONJ
ejpam-1175	312	15	(	(	PUNCT
ejpam-1175	312	16	y	y	PROPN
ejpam-1175	312	17	+	+	CCONJ
ejpam-1175	312	18	1)v2	1)v2	PROPN
ejpam-1175	312	19	�	�	PROPN
ejpam-1175	312	20	h	h	PROPN
ejpam-1175	312	21	≥	≥	PROPN
ejpam-1175	312	22	0	0	NUM
ejpam-1175	312	23	.	.	PUNCT
ejpam-1175	313	1	similarly	similarly	ADV
ejpam-1175	313	2	,	,	PUNCT
ejpam-1175	313	3	we	we	PRON
ejpam-1175	313	4	obtain	obtain	VERB
ejpam-1175	313	5	0	0	NUM
ejpam-1175	313	6	≤	≤	NUM
ejpam-1175	313	7	iγ0∪γ0	iγ0∪γ0	PROPN
ejpam-1175	313	8	′∪γ0	′∪γ0	ADJ
ejpam-1175	313	9	′′∪γ0	′′∪γ0	PROPN
ejpam-1175	313	10	′′′	′′′	PROPN
ejpam-1175	313	11	=	=	SYM
ejpam-1175	313	12	∫	∫	PROPN
ejpam-1175	313	13	γ0	γ0	PROPN
ejpam-1175	313	14	n2	n2	PROPN
ejpam-1175	313	15	�	�	PROPN
ejpam-1175	314	1	xd	xd	INTJ
ejpam-1175	314	2	y	y	PROPN
ejpam-1175	314	3	−	−	PROPN
ejpam-1175	315	1	(	(	PUNCT
ejpam-1175	315	2	y	y	PROPN
ejpam-1175	315	3	+	+	NOUN
ejpam-1175	315	4	1)d	1)d	NUM
ejpam-1175	315	5	x	x	SYM
ejpam-1175	315	6	�	�	PROPN
ejpam-1175	315	7	h	h	PROPN
ejpam-1175	315	8	+	+	CCONJ
ejpam-1175	315	9	∫	∫	PROPN
ejpam-1175	315	10	γ0	γ0	PROPN
ejpam-1175	315	11	′	′	PROPN
ejpam-1175	315	12	n2	n2	PROPN
ejpam-1175	315	13	�	�	PROPN
ejpam-1175	315	14	xd	xd	INTJ
ejpam-1175	315	15	y	y	PROPN
ejpam-1175	315	16	−	−	PROPN
ejpam-1175	315	17	yd	yd	PROPN
ejpam-1175	315	18	x	x	SYM
ejpam-1175	315	19	�	�	PROPN
ejpam-1175	315	20	h	h	PROPN
ejpam-1175	315	21	j.	j.	PROPN
ejpam-1175	315	22	rassias	rassias	PROPN
ejpam-1175	315	23	/	/	SYM
ejpam-1175	315	24	eur	eur	PROPN
ejpam-1175	315	25	.	.	PUNCT
ejpam-1175	316	1	j.	j.	PROPN
ejpam-1175	316	2	pure	pure	PROPN
ejpam-1175	316	3	appl	appl	PROPN
ejpam-1175	316	4	.	.	PROPN
ejpam-1175	316	5	math	math	PROPN
ejpam-1175	316	6	,	,	PUNCT
ejpam-1175	316	7	4	4	NUM
ejpam-1175	316	8	(	(	PUNCT
ejpam-1175	316	9	2011	2011	NUM
ejpam-1175	316	10	)	)	PUNCT
ejpam-1175	316	11	,	,	PUNCT
ejpam-1175	316	12	186	186	NUM
ejpam-1175	316	13	-	-	SYM
ejpam-1175	316	14	208	208	NUM
ejpam-1175	316	15	198	198	NUM
ejpam-1175	316	16	+	+	NUM
ejpam-1175	316	17	∫	∫	PROPN
ejpam-1175	316	18	γ0	γ0	PROPN
ejpam-1175	316	19	′′	′′	PROPN
ejpam-1175	316	20	n2	n2	PROPN
ejpam-1175	316	21	�	�	PROPN
ejpam-1175	316	22	(	(	PUNCT
ejpam-1175	316	23	x	x	SYM
ejpam-1175	316	24	+	+	NUM
ejpam-1175	316	25	1)d	1)d	NUM
ejpam-1175	316	26	y	y	NOUN
ejpam-1175	316	27	−	−	PROPN
ejpam-1175	317	1	(	(	PUNCT
ejpam-1175	317	2	y	y	PROPN
ejpam-1175	317	3	−	−	PROPN
ejpam-1175	317	4	1)d	1)d	NUM
ejpam-1175	317	5	x	x	SYM
ejpam-1175	317	6	�	�	PROPN
ejpam-1175	317	7	h	h	PROPN
ejpam-1175	317	8	+	+	CCONJ
ejpam-1175	317	9	∫	∫	PROPN
ejpam-1175	317	10	γ0	γ0	PROPN
ejpam-1175	317	11	′′′	′′′	PROPN
ejpam-1175	317	12	n2	n2	PROPN
ejpam-1175	317	13	�	�	PROPN
ejpam-1175	317	14	(	(	PUNCT
ejpam-1175	317	15	x	x	SYM
ejpam-1175	317	16	+	+	NUM
ejpam-1175	317	17	1)d	1)d	NUM
ejpam-1175	317	18	y	y	NOUN
ejpam-1175	317	19	−	−	PROPN
ejpam-1175	317	20	yd	yd	NOUN
ejpam-1175	317	21	x	x	SYM
ejpam-1175	317	22	�	�	PROPN
ejpam-1175	317	23	h.	h.	PROPN
ejpam-1175	317	24	also	also	ADV
ejpam-1175	317	25	on	on	ADP
ejpam-1175	317	26	γ2	γ2	ADJ
ejpam-1175	317	27	∪γ2	∪γ2	NOUN
ejpam-1175	317	28	′	′	VERB
ejpam-1175	317	29	with	with	ADP
ejpam-1175	317	30	b	b	NOUN
ejpam-1175	317	31	=	=	SYM
ejpam-1175	317	32	x	x	PROPN
ejpam-1175	317	33	,	,	PUNCT
ejpam-1175	317	34	c	c	X
ejpam-1175	317	35	=	=	SYM
ejpam-1175	317	36	0	0	NUM
ejpam-1175	317	37	:	:	PUNCT
ejpam-1175	317	38	iγ2∪γ2	iγ2∪γ2	PROPN
ejpam-1175	317	39	′	′	NUM
ejpam-1175	317	40	=	=	SYM
ejpam-1175	317	41	∫	∫	PROPN
ejpam-1175	318	1	γ2∪γ2	γ2∪γ2	ADJ
ejpam-1175	318	2	′	′	NUM
ejpam-1175	318	3	q̃(ux	q̃(ux	NOUN
ejpam-1175	318	4	,	,	PUNCT
ejpam-1175	318	5	uy	uy	NOUN
ejpam-1175	318	6	)	)	PUNCT
ejpam-1175	318	7	ds+	ds+	PROPN
ejpam-1175	318	8	∫	∫	PROPN
ejpam-1175	318	9	γ2∪γ2	γ2∪γ2	NOUN
ejpam-1175	318	10	′	′	NUM
ejpam-1175	319	1	γ̃u2ds	γ̃u2ds	PROPN
ejpam-1175	319	2	=	=	SYM
ejpam-1175	319	3	∫	∫	PROPN
ejpam-1175	320	1	γ2∪γ2	γ2∪γ2	NOUN
ejpam-1175	320	2	′	′	NUM
ejpam-1175	320	3	n2(x	n2(x	PROPN
ejpam-1175	320	4	v1)hds+	v1)hds+	PROPN
ejpam-1175	320	5	∫	∫	PROPN
ejpam-1175	321	1	γ2∪γ2	γ2∪γ2	PROPN
ejpam-1175	322	1	′	′	NUM
ejpam-1175	323	1	(	(	PUNCT
ejpam-1175	323	2	x	x	X
ejpam-1175	323	3	v1)ru2ds	v1)ru2ds	NOUN
ejpam-1175	323	4	=	=	SYM
ejpam-1175	323	5	0	0	PROPN
ejpam-1175	323	6	,	,	PUNCT
ejpam-1175	323	7	where	where	SCONJ
ejpam-1175	324	1	u|γ2∪γ2	u|γ2∪γ2	ADJ
ejpam-1175	324	2	′	′	NOUN
ejpam-1175	324	3	=	=	SYM
ejpam-1175	324	4	0	0	NUM
ejpam-1175	325	1	and	and	CCONJ
ejpam-1175	325	2	h|γ2∪γ2	h|γ2∪γ2	PROPN
ejpam-1175	325	3	′	′	NUM
ejpam-1175	326	1	=	=	PUNCT
ejpam-1175	326	2	k1m2v1	k1m2v1	VERB
ejpam-1175	326	3	2	2	NUM
ejpam-1175	327	1	+	+	CCONJ
ejpam-1175	327	2	k2m1v2	k2m1v2	X
ejpam-1175	327	3	2	2	NUM
ejpam-1175	327	4	=	=	SYM
ejpam-1175	327	5	0	0	NUM
ejpam-1175	327	6	,	,	PUNCT
ejpam-1175	327	7	because	because	SCONJ
ejpam-1175	327	8	both	both	DET
ejpam-1175	327	9	γ2	γ2	ADJ
ejpam-1175	327	10	,	,	PUNCT
ejpam-1175	327	11	γ2	γ2	PROPN
ejpam-1175	327	12	′	′	NOUN
ejpam-1175	327	13	are	be	AUX
ejpam-1175	327	14	characteristics	characteristic	NOUN
ejpam-1175	327	15	.	.	PUNCT
ejpam-1175	328	1	similarly	similarly	ADV
ejpam-1175	328	2	we	we	PRON
ejpam-1175	328	3	get	get	VERB
ejpam-1175	328	4	iγ2∪γ2	iγ2∪γ2	PROPN
ejpam-1175	329	1	′	′	NUM
ejpam-1175	329	2	=	=	SYM
ejpam-1175	329	3	∫	∫	PROPN
ejpam-1175	329	4	γ2∪γ2	γ2∪γ2	ADJ
ejpam-1175	329	5	′	′	PROPN
ejpam-1175	329	6	n2	n2	PROPN
ejpam-1175	329	7	�	�	PROPN
ejpam-1175	329	8	(	(	PUNCT
ejpam-1175	329	9	y	y	PROPN
ejpam-1175	329	10	−	−	PROPN
ejpam-1175	329	11	1)v2	1)v2	PROPN
ejpam-1175	329	12	�	�	PROPN
ejpam-1175	329	13	hds+	hds+	PROPN
ejpam-1175	329	14	∫	∫	PROPN
ejpam-1175	329	15	γ2∪γ2	γ2∪γ2	ADJ
ejpam-1175	329	16	′	′	NUM
ejpam-1175	329	17	�	�	PROPN
ejpam-1175	329	18	(	(	PUNCT
ejpam-1175	329	19	y	y	PROPN
ejpam-1175	329	20	−	−	PROPN
ejpam-1175	329	21	1)v2	1)v2	PROPN
ejpam-1175	329	22	�	�	PROPN
ejpam-1175	329	23	ru2ds	ru2ds	NOUN
ejpam-1175	329	24	=	=	SYM
ejpam-1175	329	25	0	0	NUM
ejpam-1175	329	26	,	,	PUNCT
ejpam-1175	329	27	i∆1∪∆1	i∆1∪∆1	X
ejpam-1175	329	28	′	′	NUM
ejpam-1175	330	1	=	=	SYM
ejpam-1175	330	2	∫	∫	PROPN
ejpam-1175	330	3	∆1∪∆1	∆1∪∆1	PROPN
ejpam-1175	330	4	′	′	PROPN
ejpam-1175	330	5	n2	n2	PROPN
ejpam-1175	330	6	�	�	PROPN
ejpam-1175	330	7	(	(	PUNCT
ejpam-1175	330	8	x	x	SYM
ejpam-1175	330	9	+	+	NUM
ejpam-1175	330	10	1)v1	1)v1	NUM
ejpam-1175	330	11	�	�	PROPN
ejpam-1175	330	12	hds+	hds+	PROPN
ejpam-1175	330	13	∫	∫	PROPN
ejpam-1175	330	14	∆1∪∆1	∆1∪∆1	PROPN
ejpam-1175	330	15	′	′	PROPN
ejpam-1175	330	16	�	�	PROPN
ejpam-1175	330	17	(	(	PUNCT
ejpam-1175	330	18	x	x	SYM
ejpam-1175	330	19	+	+	NUM
ejpam-1175	330	20	1)v1	1)v1	NUM
ejpam-1175	330	21	�	�	PROPN
ejpam-1175	330	22	ru2ds	ru2ds	NOUN
ejpam-1175	330	23	=	=	SYM
ejpam-1175	330	24	0	0	NUM
ejpam-1175	330	25	,	,	PUNCT
ejpam-1175	330	26	iδ1∪δ1	iδ1∪δ1	NOUN
ejpam-1175	330	27	′	′	NUM
ejpam-1175	331	1	=	=	PUNCT
ejpam-1175	331	2	∫	∫	PROPN
ejpam-1175	331	3	δ1∪δ1	δ1∪δ1	PROPN
ejpam-1175	332	1	′	′	PROPN
ejpam-1175	332	2	n2	n2	PROPN
ejpam-1175	332	3	�	�	PROPN
ejpam-1175	332	4	yv2	yv2	PROPN
ejpam-1175	332	5	�	�	PROPN
ejpam-1175	332	6	hds+	hds+	PROPN
ejpam-1175	332	7	∫	∫	PROPN
ejpam-1175	332	8	δ1∪δ1	δ1∪δ1	PROPN
ejpam-1175	332	9	′	′	NUM
ejpam-1175	332	10	�	�	PROPN
ejpam-1175	332	11	yv2	yv2	PROPN
ejpam-1175	332	12	�	�	PROPN
ejpam-1175	332	13	ru2ds	ru2ds	NOUN
ejpam-1175	332	14	=	=	NOUN
ejpam-1175	332	15	0	0	X
ejpam-1175	332	16	.	.	PUNCT
ejpam-1175	332	17	also	also	ADV
ejpam-1175	332	18	on	on	ADP
ejpam-1175	332	19	γ1	γ1	PROPN
ejpam-1175	332	20	∪γ1	∪γ1	VERB
ejpam-1175	332	21	′	′	VERB
ejpam-1175	332	22	with	with	ADP
ejpam-1175	332	23	b	b	NOUN
ejpam-1175	332	24	=	=	SYM
ejpam-1175	332	25	x	x	PROPN
ejpam-1175	332	26	,	,	PUNCT
ejpam-1175	332	27	c	c	X
ejpam-1175	332	28	=	=	SYM
ejpam-1175	332	29	0	0	NUM
ejpam-1175	332	30	:	:	PUNCT
ejpam-1175	332	31	ã=	ã=	PROPN
ejpam-1175	332	32	(	(	PUNCT
ejpam-1175	332	33	x	x	PROPN
ejpam-1175	332	34	v1)k1m2	v1)k1m2	PROPN
ejpam-1175	332	35	≥	≥	NOUN
ejpam-1175	332	36	0	0	NUM
ejpam-1175	332	37	,	,	PUNCT
ejpam-1175	332	38	b̃	b̃	PROPN
ejpam-1175	332	39	=	=	PUNCT
ejpam-1175	332	40	(	(	PUNCT
ejpam-1175	332	41	−x	−x	X
ejpam-1175	332	42	v1)k2m1	v1)k2m1	X
ejpam-1175	332	43	≥	≥	NOUN
ejpam-1175	332	44	0	0	NUM
ejpam-1175	332	45	;	;	PUNCT
ejpam-1175	332	46	γ̃	γ̃	PROPN
ejpam-1175	332	47	=	=	SYM
ejpam-1175	332	48	(	(	PUNCT
ejpam-1175	332	49	x	x	SYM
ejpam-1175	332	50	v1)r	v1)r	NOUN
ejpam-1175	332	51	≥	≥	NOUN
ejpam-1175	332	52	0	0	NUM
ejpam-1175	332	53	,	,	PUNCT
ejpam-1175	332	54	∆̃	∆̃	PRON
ejpam-1175	332	55	=	=	PUNCT
ejpam-1175	333	1	xk2m1v2	xk2m1v2	PROPN
ejpam-1175	333	2	.	.	PUNCT
ejpam-1175	334	1	iγ1∪γ1	iγ1∪γ1	VERB
ejpam-1175	334	2	′	′	NUM
ejpam-1175	335	1	=	=	SYM
ejpam-1175	335	2	∫	∫	PROPN
ejpam-1175	336	1	γ1∪γ1	γ1∪γ1	DET
ejpam-1175	336	2	′	′	NUM
ejpam-1175	336	3	q̃(ux	q̃(ux	NOUN
ejpam-1175	336	4	,	,	PUNCT
ejpam-1175	336	5	uy)ds+	uy)ds+	PROPN
ejpam-1175	336	6	∫	∫	NOUN
ejpam-1175	336	7	γ1∪γ1	γ1∪γ1	X
ejpam-1175	337	1	′	′	NUM
ejpam-1175	337	2	γ̃u2ds	γ̃u2ds	NOUN
ejpam-1175	337	3	=	=	SYM
ejpam-1175	337	4	∫	∫	PROPN
ejpam-1175	338	1	γ1∪γ1	γ1∪γ1	X
ejpam-1175	338	2	′	′	NUM
ejpam-1175	338	3	�	�	PROPN
ejpam-1175	338	4	x	x	SYM
ejpam-1175	338	5	�	�	PROPN
ejpam-1175	338	6	(	(	PUNCT
ejpam-1175	338	7	k1m2v1)ux	k1m2v1)ux	NOUN
ejpam-1175	338	8	2	2	NUM
ejpam-1175	338	9	+	+	CCONJ
ejpam-1175	338	10	(	(	PUNCT
ejpam-1175	338	11	−k2m1v1)uy	−k2m1v1)uy	PROPN
ejpam-1175	338	12	2	2	NUM
ejpam-1175	338	13	+	+	CCONJ
ejpam-1175	338	14	2(k2m1v2)uxuy	2(k2m1v2)uxuy	NUM
ejpam-1175	338	15	�	�	NOUN
ejpam-1175	338	16	,	,	PUNCT
ejpam-1175	338	17	+	+	CCONJ
ejpam-1175	338	18	∫	∫	PROPN
ejpam-1175	338	19	γ1∪γ1	γ1∪γ1	X
ejpam-1175	339	1	′	′	X
ejpam-1175	339	2	(	(	PUNCT
ejpam-1175	339	3	x	x	X
ejpam-1175	339	4	v1)ru2ds	v1)ru2ds	NOUN
ejpam-1175	339	5	>	>	X
ejpam-1175	339	6	0	0	PUNCT
ejpam-1175	340	1	because	because	SCONJ
ejpam-1175	340	2	r|γ1∪γ1	r|γ1∪γ1	PRON
ejpam-1175	340	3	′	′	VERB
ejpam-1175	340	4	≤	≤	NUM
ejpam-1175	340	5	0	0	NUM
ejpam-1175	340	6	,	,	PUNCT
ejpam-1175	340	7	v1|γ1∪γ1	v1|γ1∪γ1	X
ejpam-1175	341	1	′	′	NUM
ejpam-1175	341	2	<	<	X
ejpam-1175	341	3	0	0	NUM
ejpam-1175	341	4	,	,	PUNCT
ejpam-1175	341	5	and	and	CCONJ
ejpam-1175	341	6	h	h	NOUN
ejpam-1175	342	1	=	=	NOUN
ejpam-1175	342	2	0	0	PUNCT
ejpam-1175	342	3	since	since	SCONJ
ejpam-1175	342	4	both	both	DET
ejpam-1175	342	5	γ1	γ1	NOUN
ejpam-1175	342	6	,	,	PUNCT
ejpam-1175	342	7	γ1	γ1	PROPN
ejpam-1175	342	8	′	′	PROPN
ejpam-1175	342	9	are	be	AUX
ejpam-1175	342	10	characteristics	characteristic	NOUN
ejpam-1175	342	11	as	as	ADV
ejpam-1175	342	12	well	well	ADV
ejpam-1175	342	13	as	as	ADP
ejpam-1175	342	14	ãb̃−	ãb̃−	PROPN
ejpam-1175	342	15	(	(	PUNCT
ejpam-1175	342	16	∆̃)2	∆̃)2	PROPN
ejpam-1175	343	1	=	=	PUNCT
ejpam-1175	343	2	−x2k2m1h	−x2k2m1h	NOUN
ejpam-1175	343	3	=	=	SYM
ejpam-1175	343	4	0	0	X
ejpam-1175	343	5	.	.	PUNCT
ejpam-1175	344	1	similarly	similarly	ADV
ejpam-1175	344	2	,	,	PUNCT
ejpam-1175	344	3	we	we	PRON
ejpam-1175	344	4	get	get	AUX
ejpam-1175	344	5	iγ1∪γ1	iγ1∪γ1	VERB
ejpam-1175	344	6	′	′	NUM
ejpam-1175	345	1	=	=	SYM
ejpam-1175	345	2	∫	∫	PROPN
ejpam-1175	346	1	γ1∪γ1	γ1∪γ1	DET
ejpam-1175	346	2	′	′	NUM
ejpam-1175	346	3	q̃(ux	q̃(ux	NOUN
ejpam-1175	346	4	,	,	PUNCT
ejpam-1175	346	5	uy)ds+	uy)ds+	PROPN
ejpam-1175	346	6	∫	∫	NOUN
ejpam-1175	346	7	γ1∪γ1	γ1∪γ1	X
ejpam-1175	346	8	′	′	NUM
ejpam-1175	347	1	γ̃u2ds	γ̃u2ds	PROPN
ejpam-1175	347	2	j.	j.	PROPN
ejpam-1175	347	3	rassias	rassias	PROPN
ejpam-1175	347	4	/	/	SYM
ejpam-1175	347	5	eur	eur	PROPN
ejpam-1175	347	6	.	.	PUNCT
ejpam-1175	348	1	j.	j.	PROPN
ejpam-1175	348	2	pure	pure	PROPN
ejpam-1175	348	3	appl	appl	PROPN
ejpam-1175	348	4	.	.	PROPN
ejpam-1175	348	5	math	math	PROPN
ejpam-1175	348	6	,	,	PUNCT
ejpam-1175	348	7	4	4	NUM
ejpam-1175	348	8	(	(	PUNCT
ejpam-1175	348	9	2011	2011	NUM
ejpam-1175	348	10	)	)	PUNCT
ejpam-1175	348	11	,	,	PUNCT
ejpam-1175	348	12	186	186	NUM
ejpam-1175	348	13	-	-	SYM
ejpam-1175	348	14	208	208	NUM
ejpam-1175	348	15	199	199	NUM
ejpam-1175	348	16	=	=	SYM
ejpam-1175	348	17	∫	∫	PROPN
ejpam-1175	349	1	γ1∪γ1	γ1∪γ1	X
ejpam-1175	349	2	′	′	NUM
ejpam-1175	349	3	�	�	PROPN
ejpam-1175	349	4	(	(	PUNCT
ejpam-1175	349	5	y	y	PROPN
ejpam-1175	349	6	−	−	PROPN
ejpam-1175	349	7	1	1	NUM
ejpam-1175	349	8	)	)	PUNCT
ejpam-1175	349	9	�	�	PROPN
ejpam-1175	349	10	(	(	PUNCT
ejpam-1175	349	11	−k1m2v2)ux	−k1m2v2)ux	NOUN
ejpam-1175	349	12	2	2	NUM
ejpam-1175	349	13	+	+	CCONJ
ejpam-1175	349	14	(	(	PUNCT
ejpam-1175	349	15	k2m1v2)uy	k2m1v2)uy	PROPN
ejpam-1175	349	16	2	2	NUM
ejpam-1175	349	17	+	+	CCONJ
ejpam-1175	349	18	2(k1m2v1)uxuy	2(k1m2v1)uxuy	NUM
ejpam-1175	349	19	�	�	NOUN
ejpam-1175	349	20	,	,	PUNCT
ejpam-1175	349	21	+	+	CCONJ
ejpam-1175	349	22	∫	∫	PROPN
ejpam-1175	349	23	γ1∪γ1	γ1∪γ1	X
ejpam-1175	349	24	′	′	NUM
ejpam-1175	349	25	�	�	PROPN
ejpam-1175	349	26	(	(	PUNCT
ejpam-1175	349	27	y	y	PROPN
ejpam-1175	349	28	−	−	PROPN
ejpam-1175	349	29	1)v2	1)v2	PROPN
ejpam-1175	349	30	�	�	PROPN
ejpam-1175	349	31	ru2ds	ru2ds	NOUN
ejpam-1175	349	32	>	>	X
ejpam-1175	349	33	0	0	PUNCT
ejpam-1175	349	34	i∆2∪∆2	i∆2∪∆2	NOUN
ejpam-1175	349	35	′	′	NUM
ejpam-1175	349	36	=	=	SYM
ejpam-1175	349	37	∫	∫	PROPN
ejpam-1175	349	38	∆2∪∆2	∆2∪∆2	PROPN
ejpam-1175	349	39	′	′	PROPN
ejpam-1175	349	40	q̃(ux	q̃(ux	NOUN
ejpam-1175	349	41	,	,	PUNCT
ejpam-1175	349	42	uy	uy	NOUN
ejpam-1175	349	43	)	)	PUNCT
ejpam-1175	349	44	ds+	ds+	PROPN
ejpam-1175	349	45	∫	∫	PROPN
ejpam-1175	349	46	∆2∪∆2	∆2∪∆2	PROPN
ejpam-1175	350	1	′	′	PROPN
ejpam-1175	350	2	γ̃u2ds	γ̃u2ds	PROPN
ejpam-1175	351	1	=	=	SYM
ejpam-1175	351	2	∫	∫	PROPN
ejpam-1175	351	3	∆2∪∆2	∆2∪∆2	PROPN
ejpam-1175	351	4	′	′	PROPN
ejpam-1175	351	5	�	�	PROPN
ejpam-1175	351	6	(	(	PUNCT
ejpam-1175	351	7	x	x	SYM
ejpam-1175	351	8	+	+	NUM
ejpam-1175	351	9	1	1	X
ejpam-1175	351	10	)	)	PUNCT
ejpam-1175	351	11	�	�	PROPN
ejpam-1175	351	12	(	(	PUNCT
ejpam-1175	351	13	k1m2v1)ux	k1m2v1)ux	NOUN
ejpam-1175	351	14	2	2	NUM
ejpam-1175	351	15	+	+	CCONJ
ejpam-1175	351	16	(	(	PUNCT
ejpam-1175	351	17	−k2m1v1)uy	−k2m1v1)uy	PROPN
ejpam-1175	351	18	2	2	NUM
ejpam-1175	351	19	+	+	CCONJ
ejpam-1175	351	20	2(k2m1v2)uxuy	2(k2m1v2)uxuy	NUM
ejpam-1175	351	21	�	�	NOUN
ejpam-1175	351	22	,	,	PUNCT
ejpam-1175	351	23	+	+	CCONJ
ejpam-1175	351	24	∫	∫	PROPN
ejpam-1175	351	25	∆2∪∆2	∆2∪∆2	ADJ
ejpam-1175	351	26	′	′	PROPN
ejpam-1175	351	27	�	�	PROPN
ejpam-1175	351	28	(	(	PUNCT
ejpam-1175	351	29	x	x	SYM
ejpam-1175	351	30	+	+	NUM
ejpam-1175	351	31	1)v1	1)v1	NUM
ejpam-1175	351	32	�	�	PROPN
ejpam-1175	351	33	ru2ds	ru2ds	NOUN
ejpam-1175	351	34	>	>	SYM
ejpam-1175	351	35	0	0	NUM
ejpam-1175	352	1	iδ2∪δ2	iδ2∪δ2	NOUN
ejpam-1175	352	2	′	′	NUM
ejpam-1175	352	3	=	=	SYM
ejpam-1175	352	4	∫	∫	PROPN
ejpam-1175	352	5	δ2∪δ2	δ2∪δ2	NOUN
ejpam-1175	352	6	′	′	NUM
ejpam-1175	352	7	q̃(ux	q̃(ux	NOUN
ejpam-1175	352	8	,	,	PUNCT
ejpam-1175	352	9	uy)ds+	uy)ds+	ADJ
ejpam-1175	352	10	∫	∫	NOUN
ejpam-1175	352	11	δ2∪δ2	δ2∪δ2	X
ejpam-1175	352	12	′	′	NUM
ejpam-1175	352	13	γ̃u2ds	γ̃u2ds	PROPN
ejpam-1175	352	14	=	=	SYM
ejpam-1175	352	15	∫	∫	PROPN
ejpam-1175	352	16	δ2∪δ2	δ2∪δ2	X
ejpam-1175	352	17	′	′	NUM
ejpam-1175	352	18	�	�	PROPN
ejpam-1175	352	19	y	y	PROPN
ejpam-1175	352	20	�	�	PROPN
ejpam-1175	352	21	(	(	PUNCT
ejpam-1175	352	22	−k1m2v2)ux	−k1m2v2)ux	NOUN
ejpam-1175	352	23	2	2	NUM
ejpam-1175	352	24	+	+	CCONJ
ejpam-1175	352	25	(	(	PUNCT
ejpam-1175	352	26	k2m1v2)uy	k2m1v2)uy	PROPN
ejpam-1175	352	27	2	2	NUM
ejpam-1175	352	28	+	+	CCONJ
ejpam-1175	352	29	2(k1m2v1)uxuy	2(k1m2v1)uxuy	NUM
ejpam-1175	352	30	�	�	PROPN
ejpam-1175	352	31	+	+	CCONJ
ejpam-1175	352	32	∫	∫	PROPN
ejpam-1175	352	33	δ2∪δ2	δ2∪δ2	VERB
ejpam-1175	352	34	′	′	NUM
ejpam-1175	352	35	�	�	PROPN
ejpam-1175	352	36	yv2	yv2	PROPN
ejpam-1175	352	37	�	�	PROPN
ejpam-1175	352	38	ru2ds	ru2ds	X
ejpam-1175	352	39	>	>	X
ejpam-1175	352	40	0	0	X
ejpam-1175	352	41	.	.	PUNCT
ejpam-1175	353	1	from	from	ADP
ejpam-1175	353	2	(	(	PUNCT
ejpam-1175	353	3	7	7	X
ejpam-1175	353	4	)	)	PUNCT
ejpam-1175	353	5	we	we	PRON
ejpam-1175	353	6	get	get	VERB
ejpam-1175	353	7	0=	0=	PUNCT
ejpam-1175	354	1	i	i	PROPN
ejpam-1175	354	2	d	d	PROPN
ejpam-1175	355	1	+	+	CCONJ
ejpam-1175	355	2	i∂	i∂	VERB
ejpam-1175	355	3	d	d	X
ejpam-1175	355	4	≥	≥	NOUN
ejpam-1175	355	5	0	0	NUM
ejpam-1175	355	6	with	with	ADP
ejpam-1175	355	7	i	i	PROPN
ejpam-1175	355	8	d	d	PROPN
ejpam-1175	355	9	≥	≥	NUM
ejpam-1175	355	10	0	0	NUM
ejpam-1175	356	1	and	and	CCONJ
ejpam-1175	356	2	i∂	i∂	VERB
ejpam-1175	356	3	d	d	PROPN
ejpam-1175	356	4	≥	≥	NOUN
ejpam-1175	356	5	0	0	NUM
ejpam-1175	356	6	.	.	PUNCT
ejpam-1175	357	1	these	these	DET
ejpam-1175	357	2	relations	relation	NOUN
ejpam-1175	357	3	yield	yield	VERB
ejpam-1175	357	4	i	i	NOUN
ejpam-1175	357	5	d	d	NOUN
ejpam-1175	357	6	=	=	PUNCT
ejpam-1175	357	7	i∂	i∂	VERB
ejpam-1175	357	8	d	d	X
ejpam-1175	357	9	=	=	SYM
ejpam-1175	357	10	0	0	PROPN
ejpam-1175	357	11	.	.	PUNCT
ejpam-1175	358	1	(	(	PUNCT
ejpam-1175	358	2	8)	8)	NUM
ejpam-1175	358	3	it	it	PRON
ejpam-1175	358	4	is	be	AUX
ejpam-1175	358	5	clear	clear	ADJ
ejpam-1175	359	1	that	that	SCONJ
ejpam-1175	359	2	∫∫	∫∫	ADV
ejpam-1175	359	3	ḡ1	ḡ1	X
ejpam-1175	359	4	γu2d	γu2d	PROPN
ejpam-1175	360	1	xd	xd	INTJ
ejpam-1175	360	2	y	y	PROPN
ejpam-1175	360	3	=	=	PUNCT
ejpam-1175	361	1	−	−	PROPN
ejpam-1175	362	1	∫∫	∫∫	ADV
ejpam-1175	362	2	ḡ1	ḡ1	DET
ejpam-1175	362	3	�	�	PROPN
ejpam-1175	362	4	2r	2r	NUM
ejpam-1175	362	5	+	+	CCONJ
ejpam-1175	362	6	x	x	PUNCT
ejpam-1175	362	7	rx	rx	VERB
ejpam-1175	362	8	+	+	CCONJ
ejpam-1175	362	9	(	(	PUNCT
ejpam-1175	362	10	y	y	PROPN
ejpam-1175	362	11	−	−	PROPN
ejpam-1175	363	1	1)ry	1)ry	PROPN
ejpam-1175	363	2	�	�	PROPN
ejpam-1175	363	3	u2d	u2d	PROPN
ejpam-1175	363	4	xd	xd	INTJ
ejpam-1175	363	5	y	y	PROPN
ejpam-1175	363	6	=	=	SYM
ejpam-1175	363	7	0	0	PROPN
ejpam-1175	363	8	.	.	PUNCT
ejpam-1175	364	1	therefore	therefore	ADV
ejpam-1175	364	2	,	,	PUNCT
ejpam-1175	364	3	we	we	PRON
ejpam-1175	364	4	get	get	VERB
ejpam-1175	364	5	u(x	u(x	NOUN
ejpam-1175	364	6	,	,	PUNCT
ejpam-1175	364	7	y	y	NOUN
ejpam-1175	364	8	)	)	PUNCT
ejpam-1175	364	9	=	=	SYM
ejpam-1175	364	10	0	0	NUM
ejpam-1175	364	11	everywhere	everywhere	ADV
ejpam-1175	364	12	in	in	ADP
ejpam-1175	364	13	ḡ1	ḡ1	NOUN
ejpam-1175	364	14	.	.	PUNCT
ejpam-1175	365	1	alternatively	alternatively	ADV
ejpam-1175	365	2	∫∫	∫∫	ADV
ejpam-1175	365	3	ḡ1	ḡ1	PRON
ejpam-1175	365	4	�	�	NOUN
ejpam-1175	365	5	�	�	PROPN
ejpam-1175	365	6	xk1ṁ2	xk1ṁ2	PROPN
ejpam-1175	365	7	+	+	CCONJ
ejpam-1175	365	8	(	(	PUNCT
ejpam-1175	365	9	y	y	PROPN
ejpam-1175	365	10	−	−	PROPN
ejpam-1175	365	11	1)k1	1)k1	NUM
ejpam-1175	365	12	′m2	′m2	ADJ
ejpam-1175	365	13	�	�	PROPN
ejpam-1175	365	14	ux	ux	ADP
ejpam-1175	365	15	2	2	NUM
ejpam-1175	365	16	+	+	NUM
ejpam-1175	365	17	�	�	PROPN
ejpam-1175	365	18	xk2ṁ1	xk2ṁ1	PROPN
ejpam-1175	366	1	+	+	CCONJ
ejpam-1175	366	2	(	(	PUNCT
ejpam-1175	366	3	y	y	PROPN
ejpam-1175	366	4	−	−	PROPN
ejpam-1175	366	5	1)k2	1)k2	PROPN
ejpam-1175	366	6	′m1	′m1	NOUN
ejpam-1175	366	7	�	�	PROPN
ejpam-1175	366	8	uy	uy	PROPN
ejpam-1175	366	9	2	2	NUM
ejpam-1175	366	10	�	�	PROPN
ejpam-1175	366	11	d	d	NOUN
ejpam-1175	366	12	xd	xd	NOUN
ejpam-1175	366	13	y	y	PROPN
ejpam-1175	366	14	=	=	SYM
ejpam-1175	366	15	0	0	PROPN
ejpam-1175	366	16	,	,	PUNCT
ejpam-1175	366	17	yielding	yield	VERB
ejpam-1175	366	18	ux	ux	PROPN
ejpam-1175	366	19	≡	≡	PROPN
ejpam-1175	366	20	0	0	NUM
ejpam-1175	366	21	;	;	PUNCT
ejpam-1175	366	22	uy	uy	PROPN
ejpam-1175	366	23	≡	≡	PROPN
ejpam-1175	366	24	0	0	NUM
ejpam-1175	366	25	in	in	ADP
ejpam-1175	366	26	ḡ1	ḡ1	PROPN
ejpam-1175	366	27	.	.	PUNCT
ejpam-1175	367	1	thus	thus	ADV
ejpam-1175	367	2	,	,	PUNCT
ejpam-1175	367	3	in	in	ADP
ejpam-1175	367	4	ḡ1	ḡ1	NOUN
ejpam-1175	367	5	:	:	PUNCT
ejpam-1175	367	6	u(x	u(x	PROPN
ejpam-1175	367	7	,	,	PUNCT
ejpam-1175	367	8	y)≡	y)≡	NOUN
ejpam-1175	367	9	0	0	NUM
ejpam-1175	367	10	.	.	PUNCT
ejpam-1175	368	1	similarly	similarly	ADV
ejpam-1175	368	2	u(x	u(x	NOUN
ejpam-1175	368	3	,	,	PUNCT
ejpam-1175	368	4	y)≡	y)≡	NOUN
ejpam-1175	368	5	0	0	NUM
ejpam-1175	368	6	in	in	ADP
ejpam-1175	368	7	ḡ1	ḡ1	PRON
ejpam-1175	368	8	∪	∪	X
ejpam-1175	368	9	ḡ′1	ḡ′1	X
ejpam-1175	368	10	∪	∪	ADP
ejpam-1175	368	11	ḡ′′1	ḡ′′1	PROPN
ejpam-1175	368	12	∪	∪	PROPN
ejpam-1175	368	13	ḡ′′′1	ḡ′′′1	PROPN
ejpam-1175	368	14	.	.	PUNCT
ejpam-1175	369	1	(	(	PUNCT
ejpam-1175	369	2	9	9	X
ejpam-1175	369	3	)	)	PUNCT
ejpam-1175	369	4	it	it	PRON
ejpam-1175	369	5	is	be	AUX
ejpam-1175	369	6	clear	clear	ADJ
ejpam-1175	369	7	that	that	SCONJ
ejpam-1175	369	8	∫∫	∫∫	ADV
ejpam-1175	369	9	ḡ2	ḡ2	ADJ
ejpam-1175	369	10	γu2d	γu2d	PROPN
ejpam-1175	369	11	xd	xd	INTJ
ejpam-1175	369	12	y	y	PROPN
ejpam-1175	369	13	=	=	PUNCT
ejpam-1175	370	1	−	−	PROPN
ejpam-1175	371	1	∫∫	∫∫	ADV
ejpam-1175	371	2	ḡ2	ḡ2	X
ejpam-1175	371	3	(	(	PUNCT
ejpam-1175	371	4	r	r	NOUN
ejpam-1175	371	5	+	+	NOUN
ejpam-1175	371	6	x	x	SYM
ejpam-1175	371	7	rx)u	rx)u	ADP
ejpam-1175	371	8	2d	2d	NUM
ejpam-1175	371	9	xd	xd	INTJ
ejpam-1175	371	10	y	y	PROPN
ejpam-1175	371	11	=	=	SYM
ejpam-1175	371	12	0	0	PROPN
ejpam-1175	371	13	.	.	PUNCT
ejpam-1175	372	1	therefore	therefore	ADV
ejpam-1175	372	2	,	,	PUNCT
ejpam-1175	372	3	we	we	PRON
ejpam-1175	372	4	get	get	VERB
ejpam-1175	372	5	u(x	u(x	NOUN
ejpam-1175	372	6	,	,	PUNCT
ejpam-1175	372	7	y)≡	y)≡	NOUN
ejpam-1175	372	8	0	0	NUM
ejpam-1175	372	9	everywhere	everywhere	ADV
ejpam-1175	372	10	in	in	ADP
ejpam-1175	372	11	ḡ2	ḡ2	ADJ
ejpam-1175	372	12	.	.	PUNCT
ejpam-1175	373	1	alternatively	alternatively	ADV
ejpam-1175	373	2	∫∫	∫∫	ADV
ejpam-1175	373	3	ḡ2	ḡ2	ADJ
ejpam-1175	373	4	�	�	PROPN
ejpam-1175	373	5	�	�	PROPN
ejpam-1175	373	6	xk1ṁ2	xk1ṁ2	PROPN
ejpam-1175	373	7	�	�	PROPN
ejpam-1175	373	8	ux	ux	ADP
ejpam-1175	373	9	2	2	NUM
ejpam-1175	373	10	+	+	CCONJ
ejpam-1175	373	11	�	�	PROPN
ejpam-1175	373	12	xk2ṁ1	xk2ṁ1	PROPN
ejpam-1175	373	13	�	�	PROPN
ejpam-1175	373	14	uy	uy	PROPN
ejpam-1175	373	15	2	2	NUM
ejpam-1175	373	16	�	�	PROPN
ejpam-1175	373	17	d	d	NOUN
ejpam-1175	373	18	xd	xd	NOUN
ejpam-1175	373	19	y	y	PROPN
ejpam-1175	373	20	=	=	SYM
ejpam-1175	373	21	0	0	PROPN
ejpam-1175	373	22	,	,	PUNCT
ejpam-1175	373	23	j.	j.	PROPN
ejpam-1175	373	24	rassias	rassias	PROPN
ejpam-1175	373	25	/	/	SYM
ejpam-1175	373	26	eur	eur	PROPN
ejpam-1175	373	27	.	.	PUNCT
ejpam-1175	374	1	j.	j.	PROPN
ejpam-1175	374	2	pure	pure	PROPN
ejpam-1175	374	3	appl	appl	PROPN
ejpam-1175	374	4	.	.	PROPN
ejpam-1175	374	5	math	math	PROPN
ejpam-1175	374	6	,	,	PUNCT
ejpam-1175	374	7	4	4	NUM
ejpam-1175	374	8	(	(	PUNCT
ejpam-1175	374	9	2011	2011	NUM
ejpam-1175	374	10	)	)	PUNCT
ejpam-1175	374	11	,	,	PUNCT
ejpam-1175	374	12	186	186	NUM
ejpam-1175	374	13	-	-	SYM
ejpam-1175	374	14	208	208	NUM
ejpam-1175	374	15	200	200	NUM
ejpam-1175	374	16	yielding	yield	VERB
ejpam-1175	374	17	ux	ux	PROPN
ejpam-1175	374	18	≡	≡	PROPN
ejpam-1175	374	19	0	0	NUM
ejpam-1175	374	20	;	;	PUNCT
ejpam-1175	374	21	uy	uy	PROPN
ejpam-1175	374	22	≡	≡	PROPN
ejpam-1175	374	23	0	0	NUM
ejpam-1175	374	24	in	in	ADP
ejpam-1175	374	25	ḡ2	ḡ2	ADJ
ejpam-1175	374	26	.	.	PUNCT
ejpam-1175	375	1	thus	thus	ADV
ejpam-1175	375	2	in	in	ADP
ejpam-1175	375	3	ḡ2	ḡ2	NOUN
ejpam-1175	375	4	:	:	PUNCT
ejpam-1175	375	5	u(x	u(x	PROPN
ejpam-1175	375	6	,	,	PUNCT
ejpam-1175	375	7	y)≡	y)≡	NOUN
ejpam-1175	375	8	0	0	NUM
ejpam-1175	375	9	.	.	PUNCT
ejpam-1175	376	1	similarly	similarly	ADV
ejpam-1175	376	2	u(x	u(x	NOUN
ejpam-1175	376	3	,	,	PUNCT
ejpam-1175	376	4	y)≡	y)≡	NOUN
ejpam-1175	376	5	0	0	NUM
ejpam-1175	376	6	in	in	ADP
ejpam-1175	376	7	ḡ2	ḡ2	X
ejpam-1175	376	8	∪	∪	ADP
ejpam-1175	376	9	ḡ′2	ḡ′2	NOUN
ejpam-1175	376	10	∪	∪	NOUN
ejpam-1175	376	11	ḡ′′2	ḡ′′2	NOUN
ejpam-1175	376	12	∪	∪	X
ejpam-1175	376	13	ḡ′′′2	ḡ′′′2	PROPN
ejpam-1175	376	14	.	.	PUNCT
ejpam-1175	377	1	from	from	ADP
ejpam-1175	377	2	(	(	PUNCT
ejpam-1175	377	3	8)	8)	NUM
ejpam-1175	377	4	we	we	PRON
ejpam-1175	377	5	get	get	AUX
ejpam-1175	377	6	i∂	i∂	VERB
ejpam-1175	377	7	d	d	X
ejpam-1175	377	8	=	=	PUNCT
ejpam-1175	377	9	ie	ie	X
ejpam-1175	377	10	x	x	NOUN
ejpam-1175	377	11	t(d	t(d	NOUN
ejpam-1175	377	12	)	)	PUNCT
ejpam-1175	377	13	+	+	NUM
ejpam-1175	377	14	ii	ii	NOUN
ejpam-1175	377	15	nt(d	nt(d	NUM
ejpam-1175	377	16	)	)	PUNCT
ejpam-1175	378	1	=	=	SYM
ejpam-1175	378	2	iγ0∪γ0	iγ0∪γ0	ADJ
ejpam-1175	378	3	′∪γ0	′∪γ0	ADJ
ejpam-1175	378	4	′′∪γ0	′′∪γ0	PROPN
ejpam-1175	378	5	′′′	′′′	PROPN
ejpam-1175	379	1	+	+	CCONJ
ejpam-1175	379	2	�	�	PROPN
ejpam-1175	379	3	iγ1∪γ1	iγ1∪γ1	VERB
ejpam-1175	379	4	′	′	VERB
ejpam-1175	380	1	+	+	CCONJ
ejpam-1175	380	2	iγ1∪γ1	iγ1∪γ1	VERB
ejpam-1175	380	3	′	′	VERB
ejpam-1175	381	1	+	+	CCONJ
ejpam-1175	381	2	i∆2∪∆2	i∆2∪∆2	NOUN
ejpam-1175	381	3	′	′	VERB
ejpam-1175	382	1	+	+	CCONJ
ejpam-1175	382	2	iδ2∪δ2	iδ2∪δ2	NOUN
ejpam-1175	382	3	′	′	NUM
ejpam-1175	382	4	�	�	PROPN
ejpam-1175	382	5	=	=	SYM
ejpam-1175	382	6	0	0	NUM
ejpam-1175	382	7	.	.	PUNCT
ejpam-1175	383	1	thus	thus	ADV
ejpam-1175	383	2	,	,	PUNCT
ejpam-1175	383	3	iγ1∪γ1	iγ1∪γ1	VERB
ejpam-1175	383	4	′	′	NUM
ejpam-1175	384	1	=	=	NOUN
ejpam-1175	384	2	0	0	X
ejpam-1175	384	3	.	.	PUNCT
ejpam-1175	385	1	(	(	PUNCT
ejpam-1175	385	2	10	10	NUM
ejpam-1175	385	3	)	)	PUNCT
ejpam-1175	385	4	also	also	ADV
ejpam-1175	385	5	alternatively	alternatively	ADV
ejpam-1175	385	6	,	,	PUNCT
ejpam-1175	385	7	by	by	ADP
ejpam-1175	385	8	a	a	DET
ejpam-1175	385	9	well	well	ADV
ejpam-1175	385	10	-	-	PUNCT
ejpam-1175	385	11	known	know	VERB
ejpam-1175	385	12	theorem	theorem	NOUN
ejpam-1175	385	13	on	on	ADP
ejpam-1175	385	14	hyperbolic	hyperbolic	ADJ
ejpam-1175	385	15	equations	equation	NOUN
ejpam-1175	385	16	if	if	SCONJ
ejpam-1175	385	17	u|γ2∪γ2	u|γ2∪γ2	PRON
ejpam-1175	386	1	′	′	NUM
ejpam-1175	386	2	=	=	SYM
ejpam-1175	386	3	0	0	PUNCT
ejpam-1175	387	1	(	(	PUNCT
ejpam-1175	387	2	from	from	ADP
ejpam-1175	387	3	the	the	DET
ejpam-1175	387	4	boundary	boundary	ADJ
ejpam-1175	387	5	condition	condition	NOUN
ejpam-1175	387	6	)	)	PUNCT
ejpam-1175	387	7	and	and	CCONJ
ejpam-1175	387	8	iγ1∪γ1	iγ1∪γ1	VERB
ejpam-1175	387	9	′	′	NUM
ejpam-1175	388	1	=	=	SYM
ejpam-1175	388	2	0	0	PUNCT
ejpam-1175	388	3	(	(	PUNCT
ejpam-1175	388	4	from	from	ADP
ejpam-1175	388	5	(	(	PUNCT
ejpam-1175	388	6	10	10	NUM
ejpam-1175	388	7	)	)	PUNCT
ejpam-1175	388	8	)	)	PUNCT
ejpam-1175	388	9	,	,	PUNCT
ejpam-1175	388	10	then	then	ADV
ejpam-1175	388	11	u(x	u(x	PROPN
ejpam-1175	388	12	,	,	PUNCT
ejpam-1175	388	13	y	y	NOUN
ejpam-1175	388	14	)	)	PUNCT
ejpam-1175	388	15	≡	≡	PROPN
ejpam-1175	388	16	0	0	PUNCT
ejpam-1175	389	1	everywhere	everywhere	ADV
ejpam-1175	389	2	in	in	ADP
ejpam-1175	389	3	ḡ2	ḡ2	PROPN
ejpam-1175	389	4	.	.	PUNCT
ejpam-1175	390	1	pertinent	pertinent	NOUN
ejpam-1175	390	2	to	to	ADP
ejpam-1175	390	3	the	the	DET
ejpam-1175	390	4	above	above	NOUN
ejpam-1175	390	5	,	,	PUNCT
ejpam-1175	390	6	there	there	PRON
ejpam-1175	390	7	is	be	VERB
ejpam-1175	390	8	the	the	DET
ejpam-1175	390	9	following	follow	VERB
ejpam-1175	390	10	general	general	ADJ
ejpam-1175	390	11	uniqueness	uniqueness	NOUN
ejpam-1175	390	12	approach	approach	NOUN
ejpam-1175	390	13	:	:	PUNCT
ejpam-1175	390	14	first	first	ADV
ejpam-1175	390	15	,	,	PUNCT
ejpam-1175	390	16	from	from	ADP
ejpam-1175	390	17	the	the	DET
ejpam-1175	390	18	maximum	maximum	ADJ
ejpam-1175	390	19	principle	principle	NOUN
ejpam-1175	390	20	,	,	PUNCT
ejpam-1175	390	21	if	if	SCONJ
ejpam-1175	390	22	u|	u|	PROPN
ejpam-1175	390	23	g2	g2	NOUN
ejpam-1175	390	24	⋃	⋃	NOUN
ejpam-1175	390	25	g	g	NOUN
ejpam-1175	390	26	′	′	NOUN
ejpam-1175	390	27	2	2	NUM
ejpam-1175	390	28	⋃	⋃	PUNCT
ejpam-1175	390	29	g	g	NOUN
ejpam-1175	390	30	′′	′′	PROPN
ejpam-1175	390	31	2	2	NUM
ejpam-1175	390	32	⋃	⋃	NOUN
ejpam-1175	390	33	g	g	NOUN
ejpam-1175	390	34	′′′	′′′	PROPN
ejpam-1175	390	35	2	2	NUM
ejpam-1175	390	36	=	=	SYM
ejpam-1175	390	37	0	0	NUM
ejpam-1175	390	38	,	,	PUNCT
ejpam-1175	390	39	it	it	PRON
ejpam-1175	390	40	follows	follow	VERB
ejpam-1175	390	41	that	that	SCONJ
ejpam-1175	390	42	u|	u|	PROPN
ejpam-1175	390	43	g1	g1	NOUN
ejpam-1175	390	44	⋃	⋃	PUNCT
ejpam-1175	390	45	g	g	NOUN
ejpam-1175	390	46	′	′	NOUN
ejpam-1175	390	47	1	1	NUM
ejpam-1175	390	48	⋃	⋃	PUNCT
ejpam-1175	390	49	g	g	NOUN
ejpam-1175	390	50	′′	′′	PROPN
ejpam-1175	390	51	1	1	NUM
ejpam-1175	390	52	⋃	⋃	NOUN
ejpam-1175	390	53	g	g	NOUN
ejpam-1175	390	54	′′′	′′′	PROPN
ejpam-1175	390	55	1	1	NUM
ejpam-1175	390	56	=	=	SYM
ejpam-1175	390	57	0	0	NUM
ejpam-1175	390	58	.	.	PUNCT
ejpam-1175	391	1	second	second	ADJ
ejpam-1175	391	2	,	,	PUNCT
ejpam-1175	391	3	from	from	ADP
ejpam-1175	391	4	the	the	DET
ejpam-1175	391	5	uniqueness	uniqueness	NOUN
ejpam-1175	391	6	of	of	ADP
ejpam-1175	391	7	the	the	DET
ejpam-1175	391	8	solution	solution	NOUN
ejpam-1175	391	9	of	of	ADP
ejpam-1175	391	10	the	the	DET
ejpam-1175	391	11	cauchy	cauchy	ADJ
ejpam-1175	391	12	problem	problem	NOUN
ejpam-1175	391	13	,	,	PUNCT
ejpam-1175	391	14	if	if	SCONJ
ejpam-1175	391	15	u|	u|	ADV
ejpam-1175	391	16	g1	g1	NOUN
ejpam-1175	391	17	⋃	⋃	PUNCT
ejpam-1175	391	18	g	g	NOUN
ejpam-1175	391	19	′	′	NOUN
ejpam-1175	391	20	1	1	NUM
ejpam-1175	391	21	⋃	⋃	PUNCT
ejpam-1175	391	22	g	g	NOUN
ejpam-1175	391	23	′′	′′	PROPN
ejpam-1175	391	24	1	1	NUM
ejpam-1175	391	25	⋃	⋃	NOUN
ejpam-1175	391	26	g	g	NOUN
ejpam-1175	391	27	′′′	′′′	PROPN
ejpam-1175	391	28	1	1	NUM
ejpam-1175	391	29	=	=	SYM
ejpam-1175	391	30	0	0	NUM
ejpam-1175	391	31	,	,	PUNCT
ejpam-1175	391	32	it	it	PRON
ejpam-1175	391	33	follows	follow	VERB
ejpam-1175	391	34	u|	u|	PROPN
ejpam-1175	391	35	g2	g2	PROPN
ejpam-1175	391	36	⋃	⋃	PROPN
ejpam-1175	391	37	g	g	NOUN
ejpam-1175	391	38	′	′	NOUN
ejpam-1175	391	39	2	2	NUM
ejpam-1175	391	40	⋃	⋃	PUNCT
ejpam-1175	391	41	g	g	NOUN
ejpam-1175	391	42	′′	′′	PROPN
ejpam-1175	391	43	2	2	NUM
ejpam-1175	391	44	⋃	⋃	NOUN
ejpam-1175	391	45	g	g	NOUN
ejpam-1175	391	46	′′′	′′′	PROPN
ejpam-1175	391	47	2	2	NUM
ejpam-1175	391	48	=	=	SYM
ejpam-1175	391	49	0	0	NUM
ejpam-1175	391	50	.	.	PUNCT
ejpam-1175	392	1	thus	thus	ADV
ejpam-1175	392	2	,	,	PUNCT
ejpam-1175	392	3	u(x	u(x	PROPN
ejpam-1175	392	4	,	,	PUNCT
ejpam-1175	392	5	y	y	NOUN
ejpam-1175	392	6	)	)	PUNCT
ejpam-1175	392	7	≡	≡	PROPN
ejpam-1175	392	8	0	0	PUNCT
ejpam-1175	393	1	everywhere	everywhere	ADV
ejpam-1175	393	2	in	in	ADP
ejpam-1175	393	3	d	d	PROPN
ejpam-1175	393	4	,	,	PUNCT
ejpam-1175	393	5	completing	complete	VERB
ejpam-1175	393	6	the	the	DET
ejpam-1175	393	7	proof	proof	NOUN
ejpam-1175	393	8	of	of	ADP
ejpam-1175	393	9	the	the	DET
ejpam-1175	393	10	uniqueness	uniqueness	NOUN
ejpam-1175	393	11	theorem	theorem	VERB
ejpam-1175	393	12	.	.	PUNCT
ejpam-1175	393	13	note	note	VERB
ejpam-1175	393	14	that	that	SCONJ
ejpam-1175	393	15	the	the	DET
ejpam-1175	393	16	case	case	NOUN
ejpam-1175	393	17	:	:	PUNCT
ejpam-1175	393	18	r	r	NOUN
ejpam-1175	393	19	=	=	SYM
ejpam-1175	393	20	r(x	r(x	PROPN
ejpam-1175	393	21	,	,	PUNCT
ejpam-1175	393	22	y	y	PROPN
ejpam-1175	393	23	)	)	PUNCT
ejpam-1175	393	24	=	=	SYM
ejpam-1175	393	25	0	0	NUM
ejpam-1175	393	26	in	in	ADP
ejpam-1175	393	27	d	d	PROPN
ejpam-1175	393	28	and	and	CCONJ
ejpam-1175	393	29	k1	k1	PROPN
ejpam-1175	393	30	′(0	′(0	PROPN
ejpam-1175	393	31	)	)	PUNCT
ejpam-1175	393	32	=	=	SYM
ejpam-1175	393	33	ṁi(0	ṁi(0	PROPN
ejpam-1175	393	34	)	)	PUNCT
ejpam-1175	394	1	=	=	SYM
ejpam-1175	394	2	0	0	PUNCT
ejpam-1175	395	1	(	(	PUNCT
ejpam-1175	395	2	i	i	NOUN
ejpam-1175	395	3	=	=	SYM
ejpam-1175	395	4	1,2	1,2	NUM
ejpam-1175	395	5	)	)	PUNCT
ejpam-1175	395	6	yield	yield	NOUN
ejpam-1175	395	7	also	also	ADV
ejpam-1175	395	8	uniqueness	uniqueness	VERB
ejpam-1175	395	9	results	result	NOUN
ejpam-1175	395	10	for	for	ADP
ejpam-1175	395	11	the	the	DET
ejpam-1175	395	12	problem	problem	NOUN
ejpam-1175	395	13	(	(	PUNCT
ejpam-1175	395	14	et	et	NOUN
ejpam-1175	395	15	)	)	PUNCT
ejpam-1175	395	16	.	.	PUNCT
ejpam-1175	396	1	3	3	X
ejpam-1175	396	2	.	.	X
ejpam-1175	396	3	the	the	DET
ejpam-1175	396	4	exterior	exterior	PROPN
ejpam-1175	396	5	frankl	frankl	PROPN
ejpam-1175	396	6	problem	problem	NOUN
ejpam-1175	396	7	consider	consider	VERB
ejpam-1175	396	8	the	the	DET
ejpam-1175	396	9	quaterelliptic	quaterelliptic	ADJ
ejpam-1175	396	10	-	-	PUNCT
ejpam-1175	396	11	quaterhyperbolic	quaterhyperbolic	ADJ
ejpam-1175	396	12	equation	equation	NOUN
ejpam-1175	396	13	(	(	PUNCT
ejpam-1175	396	14	1	1	NUM
ejpam-1175	396	15	)	)	PUNCT
ejpam-1175	396	16	with	with	ADP
ejpam-1175	396	17	eight	eight	NUM
ejpam-1175	396	18	parabolic	parabolic	ADJ
ejpam-1175	396	19	lines	line	NOUN
ejpam-1175	396	20	of	of	ADP
ejpam-1175	396	21	degeneracy	degeneracy	NOUN
ejpam-1175	396	22	in	in	ADP
ejpam-1175	396	23	a	a	DET
ejpam-1175	396	24	bounded	bound	VERB
ejpam-1175	396	25	doubly	doubly	ADV
ejpam-1175	396	26	connected	connected	ADJ
ejpam-1175	396	27	mixed	mixed	ADJ
ejpam-1175	396	28	domain	domain	NOUN
ejpam-1175	396	29	d̃	d̃	PROPN
ejpam-1175	396	30	with	with	ADP
ejpam-1175	396	31	a	a	DET
ejpam-1175	396	32	piecewise	piecewise	NOUN
ejpam-1175	396	33	smooth	smooth	ADJ
ejpam-1175	396	34	boundary	boundary	ADJ
ejpam-1175	396	35	∂	∂	NOUN
ejpam-1175	396	36	d̃	d̃	PROPN
ejpam-1175	396	37	=	=	SYM
ejpam-1175	396	38	e	e	PROPN
ejpam-1175	396	39	x	x	X
ejpam-1175	396	40	t(d̃)∪	t(d̃)∪	PROPN
ejpam-1175	396	41	int(d̃	int(d̃	NOUN
ejpam-1175	396	42	)	)	PUNCT
ejpam-1175	397	1	=	=	SYM
ejpam-1175	397	2	�	�	PROPN
ejpam-1175	397	3	e	e	X
ejpam-1175	397	4	x	x	X
ejpam-1175	397	5	tel(d̃)∪	tel(d̃)∪	X
ejpam-1175	397	6	e	e	NOUN
ejpam-1175	397	7	x	x	SYM
ejpam-1175	397	8	thn(d̃	thn(d̃	NOUN
ejpam-1175	397	9	)	)	PUNCT
ejpam-1175	397	10	�	�	PROPN
ejpam-1175	397	11	∪	∪	ADP
ejpam-1175	397	12	int(d̃	int(d̃	NOUN
ejpam-1175	397	13	)	)	PUNCT
ejpam-1175	397	14	,	,	PUNCT
ejpam-1175	397	15	where	where	SCONJ
ejpam-1175	397	16	d̃	d̃	PROPN
ejpam-1175	397	17	is	be	AUX
ejpam-1175	397	18	a	a	DET
ejpam-1175	397	19	part	part	NOUN
ejpam-1175	397	20	of	of	ADP
ejpam-1175	397	21	d	d	NOUN
ejpam-1175	397	22	,	,	PUNCT
ejpam-1175	397	23	and	and	CCONJ
ejpam-1175	397	24	int(d̃	int(d̃	NOUN
ejpam-1175	397	25	)	)	PUNCT
ejpam-1175	397	26	=	=	SYM
ejpam-1175	397	27	int(d	int(d	PROPN
ejpam-1175	397	28	)	)	PUNCT
ejpam-1175	397	29	,	,	PUNCT
ejpam-1175	397	30	as	as	ADV
ejpam-1175	397	31	well	well	ADV
ejpam-1175	397	32	as	as	ADP
ejpam-1175	397	33	e	e	NOUN
ejpam-1175	397	34	x	x	NOUN
ejpam-1175	397	35	tel(d̃	tel(d̃	NOUN
ejpam-1175	397	36	)	)	PUNCT
ejpam-1175	397	37	=	=	SYM
ejpam-1175	397	38	γ0	γ0	NOUN
ejpam-1175	397	39	∪γ0	∪γ0	ADJ
ejpam-1175	397	40	′	′	NUM
ejpam-1175	397	41	∪γ0	∪γ0	ADJ
ejpam-1175	398	1	′′	′′	PROPN
ejpam-1175	398	2	∪γ0	∪γ0	NOUN
ejpam-1175	398	3	′′′	′′′	VERB
ejpam-1175	398	4	is	be	AUX
ejpam-1175	398	5	the	the	DET
ejpam-1175	398	6	elliptic	elliptic	ADJ
ejpam-1175	398	7	exterior	exterior	ADJ
ejpam-1175	398	8	boundary	boundary	NOUN
ejpam-1175	398	9	of	of	ADP
ejpam-1175	398	10	d̃	d̃	PROPN
ejpam-1175	398	11	and	and	CCONJ
ejpam-1175	398	12	e	e	NOUN
ejpam-1175	398	13	x	x	NOUN
ejpam-1175	398	14	thn(d̃	thn(d̃	NOUN
ejpam-1175	398	15	)	)	PUNCT
ejpam-1175	398	16	=	=	SYM
ejpam-1175	399	1	(	(	PUNCT
ejpam-1175	399	2	γ̃2	γ̃2	PROPN
ejpam-1175	399	3	∪	∪	ADP
ejpam-1175	399	4	γ̃	γ̃	PROPN
ejpam-1175	399	5	′	′	NUM
ejpam-1175	399	6	2)∪	2)∪	NOUN
ejpam-1175	399	7	(	(	PUNCT
ejpam-1175	399	8	γ̃2	γ̃2	PROPN
ejpam-1175	399	9	∪	∪	ADP
ejpam-1175	399	10	γ̃	γ̃	PROPN
ejpam-1175	399	11	′	′	NUM
ejpam-1175	399	12	2)∪	2)∪	NOUN
ejpam-1175	399	13	(	(	PUNCT
ejpam-1175	399	14	∆̃1	∆̃1	PROPN
ejpam-1175	399	15	∪	∪	ADJ
ejpam-1175	399	16	∆̃	∆̃	NOUN
ejpam-1175	399	17	′	′	NUM
ejpam-1175	399	18	1)∪	1)∪	NUM
ejpam-1175	399	19	(	(	PUNCT
ejpam-1175	399	20	δ̃1	δ̃1	VERB
ejpam-1175	399	21	∪	∪	VERB
ejpam-1175	399	22	δ̃	δ̃	PROPN
ejpam-1175	399	23	′	′	NUM
ejpam-1175	399	24	1	1	NUM
ejpam-1175	399	25	)	)	PUNCT
ejpam-1175	399	26	is	be	AUX
ejpam-1175	399	27	the	the	DET
ejpam-1175	399	28	non	non	ADJ
ejpam-1175	399	29	-	-	ADJ
ejpam-1175	399	30	characteristic	characteristic	ADJ
ejpam-1175	399	31	hyperbolic	hyperbolic	ADJ
ejpam-1175	399	32	exterior	exterior	NOUN
ejpam-1175	399	33	boundary	boundary	NOUN
ejpam-1175	399	34	of	of	ADP
ejpam-1175	399	35	d̃	d̃	PROPN
ejpam-1175	399	36	,	,	PUNCT
ejpam-1175	399	37	such	such	ADJ
ejpam-1175	399	38	that	that	SCONJ
ejpam-1175	399	39	:	:	PUNCT
ejpam-1175	399	40	e	e	X
ejpam-1175	399	41	x	x	PUNCT
ejpam-1175	399	42	t(d̃	t(d̃	ADV
ejpam-1175	399	43	)	)	PUNCT
ejpam-1175	399	44	=	=	PUNCT
ejpam-1175	400	1	e	e	X
ejpam-1175	400	2	x	x	X
ejpam-1175	400	3	tel(d̃)∪	tel(d̃)∪	X
ejpam-1175	400	4	e	e	X
ejpam-1175	400	5	x	x	SYM
ejpam-1175	400	6	thn(d̃	thn(d̃	NOUN
ejpam-1175	400	7	)	)	PUNCT
ejpam-1175	400	8	=	=	SYM
ejpam-1175	400	9	�	�	PROPN
ejpam-1175	400	10	γ0	γ0	PROPN
ejpam-1175	400	11	∪	∪	VERB
ejpam-1175	400	12	γ0	γ0	NOUN
ejpam-1175	400	13	′	′	NUM
ejpam-1175	400	14	∪γ0	∪γ0	NOUN
ejpam-1175	401	1	′′	′′	PROPN
ejpam-1175	401	2	∪	∪	ADP
ejpam-1175	401	3	γ0	γ0	PROPN
ejpam-1175	401	4	′′′	′′′	PROPN
ejpam-1175	401	5	�	�	PROPN
ejpam-1175	401	6	∪	∪	X
ejpam-1175	401	7	�	�	PROPN
ejpam-1175	401	8	(	(	PUNCT
ejpam-1175	401	9	γ̃2	γ̃2	PROPN
ejpam-1175	401	10	∪	∪	ADP
ejpam-1175	401	11	γ̃	γ̃	PROPN
ejpam-1175	401	12	′	′	NUM
ejpam-1175	401	13	2)∪	2)∪	NOUN
ejpam-1175	401	14	(	(	PUNCT
ejpam-1175	401	15	γ̃2	γ̃2	PROPN
ejpam-1175	401	16	∪	∪	ADP
ejpam-1175	401	17	γ̃	γ̃	PROPN
ejpam-1175	401	18	′	′	NUM
ejpam-1175	401	19	2)∪	2)∪	NOUN
ejpam-1175	401	20	(	(	PUNCT
ejpam-1175	401	21	∆̃1	∆̃1	PROPN
ejpam-1175	401	22	∪	∪	ADJ
ejpam-1175	401	23	∆̃	∆̃	NOUN
ejpam-1175	401	24	′	′	NUM
ejpam-1175	401	25	1)∪	1)∪	NUM
ejpam-1175	401	26	(	(	PUNCT
ejpam-1175	401	27	δ̃1	δ̃1	VERB
ejpam-1175	401	28	∪	∪	VERB
ejpam-1175	401	29	δ̃	δ̃	PROPN
ejpam-1175	401	30	′	′	NUM
ejpam-1175	401	31	1	1	NUM
ejpam-1175	401	32	)	)	PUNCT
ejpam-1175	401	33	�	�	PROPN
ejpam-1175	401	34	is	be	AUX
ejpam-1175	401	35	the	the	DET
ejpam-1175	401	36	exterior	exterior	ADJ
ejpam-1175	401	37	boundary	boundary	NOUN
ejpam-1175	401	38	of	of	ADP
ejpam-1175	401	39	d̃	d̃	PROPN
ejpam-1175	401	40	,	,	PUNCT
ejpam-1175	401	41	with	with	ADP
ejpam-1175	401	42	the	the	DET
ejpam-1175	401	43	following	follow	VERB
ejpam-1175	401	44	non	non	NOUN
ejpam-1175	401	45	-	-	NOUN
ejpam-1175	401	46	characteristics	characteristic	NOUN
ejpam-1175	401	47	:	:	PUNCT
ejpam-1175	401	48	γ̃2	γ̃2	PROPN
ejpam-1175	401	49	,	,	PUNCT
ejpam-1175	401	50	γ̃′2	γ̃′2	ADJ
ejpam-1175	401	51	,	,	PUNCT
ejpam-1175	401	52	γ̃2	γ̃2	PROPN
ejpam-1175	401	53	,	,	PUNCT
ejpam-1175	401	54	γ̃′2	γ̃′2	ADJ
ejpam-1175	401	55	,	,	PUNCT
ejpam-1175	401	56	∆̃1	∆̃1	ADJ
ejpam-1175	401	57	,	,	PUNCT
ejpam-1175	401	58	∆̃′1	∆̃′1	PROPN
ejpam-1175	401	59	,	,	PUNCT
ejpam-1175	401	60	δ̃1	δ̃1	PROPN
ejpam-1175	401	61	,	,	PUNCT
ejpam-1175	401	62	δ̃′1	δ̃′1	PROPN
ejpam-1175	401	63	:	:	PUNCT
ejpam-1175	401	64	j.	j.	PROPN
ejpam-1175	401	65	rassias	rassias	PROPN
ejpam-1175	401	66	/	/	SYM
ejpam-1175	401	67	eur	eur	PROPN
ejpam-1175	401	68	.	.	PUNCT
ejpam-1175	402	1	j.	j.	PROPN
ejpam-1175	402	2	pure	pure	PROPN
ejpam-1175	402	3	appl	appl	PROPN
ejpam-1175	402	4	.	.	PROPN
ejpam-1175	402	5	math	math	PROPN
ejpam-1175	402	6	,	,	PUNCT
ejpam-1175	402	7	4	4	NUM
ejpam-1175	402	8	(	(	PUNCT
ejpam-1175	402	9	2011	2011	NUM
ejpam-1175	402	10	)	)	PUNCT
ejpam-1175	402	11	,	,	PUNCT
ejpam-1175	402	12	186	186	NUM
ejpam-1175	402	13	-	-	SYM
ejpam-1175	402	14	208	208	NUM
ejpam-1175	402	15	201	201	NUM
ejpam-1175	402	16	figure	figure	NOUN
ejpam-1175	402	17	2	2	NUM
ejpam-1175	402	18	γ̃2	γ̃2	PROPN
ejpam-1175	402	19	:	:	PUNCT
ejpam-1175	402	20	p	p	X
ejpam-1175	402	21	m(x)d	m(x)d	PROPN
ejpam-1175	402	22	x	x	X
ejpam-1175	402	23	≥	≥	PROPN
ejpam-1175	402	24	p	p	NOUN
ejpam-1175	402	25	−k(y)d	−k(y)d	X
ejpam-1175	402	26	y	y	PROPN
ejpam-1175	402	27	;	;	PUNCT
ejpam-1175	402	28	∆̃′1	∆̃′1	X
ejpam-1175	402	29	:	:	PUNCT
ejpam-1175	402	30	0≤	0≤	PUNCT
ejpam-1175	402	31	p	p	X
ejpam-1175	402	32	m(x)d	m(x)d	PROPN
ejpam-1175	402	33	x	x	SYM
ejpam-1175	402	34	≤	≤	NOUN
ejpam-1175	402	35	p	p	NOUN
ejpam-1175	402	36	−k(y)d	−k(y)d	PRON
ejpam-1175	402	37	y	y	NOUN
ejpam-1175	402	38	;	;	PUNCT
ejpam-1175	402	39	γ̃′2	γ̃′2	NUM
ejpam-1175	402	40	:	:	PUNCT
ejpam-1175	402	41	p	p	X
ejpam-1175	402	42	m(x)d	m(x)d	PROPN
ejpam-1175	402	43	x	x	SYM
ejpam-1175	402	44	≤	≤	NUM
ejpam-1175	402	45	−	−	NOUN
ejpam-1175	402	46	p	p	NOUN
ejpam-1175	402	47	−k(y)d	−k(y)d	X
ejpam-1175	402	48	y	y	NOUN
ejpam-1175	402	49	≤	≤	PROPN
ejpam-1175	402	50	0	0	NUM
ejpam-1175	402	51	;	;	PUNCT
ejpam-1175	402	52	∆̃1	∆̃1	NUM
ejpam-1175	402	53	:	:	PUNCT
ejpam-1175	402	54	p	p	X
ejpam-1175	402	55	m(x)d	m(x)d	PROPN
ejpam-1175	402	56	x	x	SYM
ejpam-1175	402	57	≥	≥	NOUN
ejpam-1175	402	58	−	−	NOUN
ejpam-1175	402	59	p	p	NOUN
ejpam-1175	402	60	−k(−y)d	−k(−y)d	INTJ
ejpam-1175	402	61	y	y	PROPN
ejpam-1175	402	62	;	;	PUNCT
ejpam-1175	402	63	γ̃2	γ̃2	PROPN
ejpam-1175	402	64	:	:	PUNCT
ejpam-1175	402	65	0≥	0≥	PROPN
ejpam-1175	403	1	p	p	X
ejpam-1175	403	2	−m(x)d	−m(x)d	NOUN
ejpam-1175	403	3	x	x	X
ejpam-1175	403	4	≥	≥	NOUN
ejpam-1175	403	5	p	p	X
ejpam-1175	403	6	k(y)d	k(y)d	X
ejpam-1175	403	7	y	y	PROPN
ejpam-1175	403	8	;	;	PUNCT
ejpam-1175	403	9	δ̃′1	δ̃′1	PROPN
ejpam-1175	403	10	:	:	PUNCT
ejpam-1175	403	11	0≤	0≤	PUNCT
ejpam-1175	403	12	p	p	ADJ
ejpam-1175	403	13	−m(x)d	−m(x)d	NOUN
ejpam-1175	403	14	x	x	SYM
ejpam-1175	403	15	≤	≤	NOUN
ejpam-1175	403	16	p	p	NOUN
ejpam-1175	403	17	k(y)d	k(y)d	PROPN
ejpam-1175	403	18	y	y	PROPN
ejpam-1175	403	19	;	;	PUNCT
ejpam-1175	403	20	γ̃′2	γ̃′2	NUM
ejpam-1175	403	21	:	:	PUNCT
ejpam-1175	403	22	0≥	0≥	ADJ
ejpam-1175	403	23	p	p	X
ejpam-1175	403	24	−m(x)d	−m(x)d	NOUN
ejpam-1175	403	25	x	x	SYM
ejpam-1175	403	26	≥	≥	NOUN
ejpam-1175	403	27	−	−	PROPN
ejpam-1175	403	28	p	p	X
ejpam-1175	403	29	k(y)d	k(y)d	X
ejpam-1175	403	30	y	y	PROPN
ejpam-1175	403	31	;	;	PUNCT
ejpam-1175	403	32	δ̃1	δ̃1	VERB
ejpam-1175	403	33	:	:	PUNCT
ejpam-1175	403	34	0≤	0≤	ADP
ejpam-1175	403	35	p	p	ADJ
ejpam-1175	403	36	−m(x)d	−m(x)d	NOUN
ejpam-1175	403	37	x	x	SYM
ejpam-1175	403	38	≤	≤	NUM
ejpam-1175	403	39	−	−	NOUN
ejpam-1175	403	40	p	p	X
ejpam-1175	403	41	k(y)d	k(y)d	PROPN
ejpam-1175	403	42	y	y	PROPN
ejpam-1175	403	43	,	,	PUNCT
ejpam-1175	403	44	or	or	CCONJ
ejpam-1175	403	45	γ̃2	γ̃2	PROPN
ejpam-1175	403	46	∪	∪	ADP
ejpam-1175	403	47	∆̃	∆̃	NOUN
ejpam-1175	403	48	′	′	NUM
ejpam-1175	403	49	1	1	NUM
ejpam-1175	403	50	:	:	PUNCT
ejpam-1175	403	51	0≤	0≤	NUM
ejpam-1175	404	1	d	d	X
ejpam-1175	404	2	y	y	PROPN
ejpam-1175	404	3	d	d	X
ejpam-1175	404	4	x	x	SYM
ejpam-1175	404	5	≤	≤	PROPN
ejpam-1175	404	6	p	p	ADJ
ejpam-1175	404	7	m(x	m(x	PROPN
ejpam-1175	404	8	)	)	PUNCT
ejpam-1175	405	1	p	p	NOUN
ejpam-1175	405	2	−k(y	−k(y	NOUN
ejpam-1175	405	3	)	)	PUNCT
ejpam-1175	405	4	;	;	PUNCT
ejpam-1175	405	5	γ̃′2	γ̃′2	PROPN
ejpam-1175	405	6	∪	∪	ADP
ejpam-1175	405	7	∆̃1	∆̃1	NOUN
ejpam-1175	405	8	:	:	PUNCT
ejpam-1175	405	9	0≥	0≥	PUNCT
ejpam-1175	405	10	d	d	X
ejpam-1175	405	11	y	y	PROPN
ejpam-1175	405	12	d	d	X
ejpam-1175	405	13	x	x	X
ejpam-1175	405	14	≥	≥	NOUN
ejpam-1175	405	15	−	−	PROPN
ejpam-1175	405	16	p	p	PROPN
ejpam-1175	405	17	m(x	m(x	PROPN
ejpam-1175	405	18	)	)	PUNCT
ejpam-1175	405	19	p	p	NOUN
ejpam-1175	405	20	−k(y	−k(y	NOUN
ejpam-1175	405	21	)	)	PUNCT
ejpam-1175	405	22	;	;	PUNCT
ejpam-1175	405	23	j.	j.	PROPN
ejpam-1175	405	24	rassias	rassias	PROPN
ejpam-1175	405	25	/	/	SYM
ejpam-1175	405	26	eur	eur	PROPN
ejpam-1175	405	27	.	.	PUNCT
ejpam-1175	406	1	j.	j.	PROPN
ejpam-1175	406	2	pure	pure	PROPN
ejpam-1175	406	3	appl	appl	PROPN
ejpam-1175	406	4	.	.	PROPN
ejpam-1175	406	5	math	math	PROPN
ejpam-1175	406	6	,	,	PUNCT
ejpam-1175	406	7	4	4	NUM
ejpam-1175	406	8	(	(	PUNCT
ejpam-1175	406	9	2011	2011	NUM
ejpam-1175	406	10	)	)	PUNCT
ejpam-1175	406	11	,	,	PUNCT
ejpam-1175	406	12	186	186	NUM
ejpam-1175	406	13	-	-	SYM
ejpam-1175	406	14	208	208	NUM
ejpam-1175	406	15	202	202	NUM
ejpam-1175	406	16	γ̃2	γ̃2	PROPN
ejpam-1175	406	17	∪	∪	ADJ
ejpam-1175	406	18	δ̃	δ̃	PROPN
ejpam-1175	406	19	′	′	NUM
ejpam-1175	406	20	1	1	NUM
ejpam-1175	406	21	:	:	PUNCT
ejpam-1175	407	1	d	d	X
ejpam-1175	407	2	y	y	PROPN
ejpam-1175	407	3	d	d	X
ejpam-1175	407	4	x	x	X
ejpam-1175	407	5	≥	≥	PROPN
ejpam-1175	407	6	p	p	PROPN
ejpam-1175	407	7	−m(x	−m(x	PROPN
ejpam-1175	407	8	)	)	PUNCT
ejpam-1175	407	9	p	p	PRON
ejpam-1175	407	10	k(y	k(y	PROPN
ejpam-1175	407	11	)	)	PUNCT
ejpam-1175	407	12	;	;	PUNCT
ejpam-1175	407	13	γ̃′2	γ̃′2	PROPN
ejpam-1175	407	14	∪	∪	X
ejpam-1175	407	15	δ̃1	δ̃1	NOUN
ejpam-1175	407	16	:	:	PUNCT
ejpam-1175	407	17	d	d	X
ejpam-1175	407	18	y	y	PROPN
ejpam-1175	408	1	d	d	X
ejpam-1175	408	2	x	x	SYM
ejpam-1175	408	3	≤	≤	NUM
ejpam-1175	408	4	−	−	PROPN
ejpam-1175	408	5	p	p	PROPN
ejpam-1175	408	6	−m(x	−m(x	PROPN
ejpam-1175	408	7	)	)	PUNCT
ejpam-1175	408	8	p	p	PRON
ejpam-1175	408	9	k(y	k(y	PROPN
ejpam-1175	408	10	)	)	PUNCT
ejpam-1175	408	11	,	,	PUNCT
ejpam-1175	408	12	satisfying	satisfy	VERB
ejpam-1175	408	13	the	the	DET
ejpam-1175	408	14	non	non	ADJ
ejpam-1175	408	15	-	-	ADJ
ejpam-1175	408	16	characteristic	characteristic	ADJ
ejpam-1175	408	17	relation	relation	NOUN
ejpam-1175	408	18	h	h	NOUN
ejpam-1175	408	19	=	=	SYM
ejpam-1175	408	20	k1m2v1	k1m2v1	PROPN
ejpam-1175	408	21	2	2	NUM
ejpam-1175	409	1	+	+	CCONJ
ejpam-1175	409	2	k2m1v2	k2m1v2	X
ejpam-1175	409	3	2	2	NUM
ejpam-1175	409	4	≥	≥	NOUN
ejpam-1175	409	5	0	0	NUM
ejpam-1175	409	6	,	,	PUNCT
ejpam-1175	409	7	or	or	CCONJ
ejpam-1175	409	8	k(y)(d	k(y)(d	NUM
ejpam-1175	409	9	y)2	y)2	NOUN
ejpam-1175	409	10	+	+	NOUN
ejpam-1175	409	11	m(x)(d	m(x)(d	PROPN
ejpam-1175	409	12	x)2	x)2	X
ejpam-1175	409	13	≥	≥	NOUN
ejpam-1175	409	14	0	0	NUM
ejpam-1175	409	15	,	,	PUNCT
ejpam-1175	409	16	and	and	CCONJ
ejpam-1175	409	17	intersecting	intersecting	ADJ
ejpam-1175	409	18	characteristics	characteristic	NOUN
ejpam-1175	409	19	γ1	γ1	NOUN
ejpam-1175	409	20	,	,	PUNCT
ejpam-1175	409	21	γ′1	γ′1	ADJ
ejpam-1175	409	22	,	,	PUNCT
ejpam-1175	409	23	γ1	γ1	PROPN
ejpam-1175	409	24	,	,	PUNCT
ejpam-1175	409	25	γ′1	γ′1	PROPN
ejpam-1175	409	26	,	,	PUNCT
ejpam-1175	409	27	∆2	∆2	PROPN
ejpam-1175	409	28	,	,	PUNCT
ejpam-1175	409	29	∆′2	∆′2	PROPN
ejpam-1175	409	30	,	,	PUNCT
ejpam-1175	409	31	δ2	δ2	X
ejpam-1175	409	32	,	,	PUNCT
ejpam-1175	409	33	δ′2	δ′2	NOUN
ejpam-1175	409	34	,	,	PUNCT
ejpam-1175	409	35	only	only	ADV
ejpam-1175	409	36	once	once	ADV
ejpam-1175	409	37	.	.	PUNCT
ejpam-1175	410	1	note	note	VERB
ejpam-1175	410	2	that	that	SCONJ
ejpam-1175	410	3	(	(	PUNCT
ejpam-1175	410	4	γ̃2	γ̃2	PROPN
ejpam-1175	410	5	∪	∪	ADP
ejpam-1175	410	6	∆̃1)∪	∆̃1)∪	NOUN
ejpam-1175	410	7	(	(	PUNCT
ejpam-1175	410	8	γ̃	γ̃	PROPN
ejpam-1175	410	9	′	′	NOUN
ejpam-1175	410	10	2	2	NUM
ejpam-1175	410	11	∪	∪	ADP
ejpam-1175	410	12	∆̃	∆̃	NUM
ejpam-1175	410	13	′	′	NUM
ejpam-1175	410	14	1	1	NUM
ejpam-1175	410	15	)	)	PUNCT
ejpam-1175	410	16	:	:	PUNCT
ejpam-1175	411	1	(	(	PUNCT
ejpam-1175	411	2	p	p	X
ejpam-1175	411	3	m(x)d	m(x)d	PROPN
ejpam-1175	411	4	x	x	SYM
ejpam-1175	411	5	−	−	PROPN
ejpam-1175	411	6	p	p	NOUN
ejpam-1175	411	7	−k(y)d	−k(y)d	INTJ
ejpam-1175	411	8	y	y	NOUN
ejpam-1175	411	9	)	)	PUNCT
ejpam-1175	411	10	(	(	PUNCT
ejpam-1175	411	11	p	p	NOUN
ejpam-1175	411	12	m(x)d	m(x)d	PROPN
ejpam-1175	411	13	x	x	PUNCT
ejpam-1175	412	1	+	+	PUNCT
ejpam-1175	412	2	p	p	NOUN
ejpam-1175	412	3	−k(y)d	−k(y)d	X
ejpam-1175	412	4	y	y	NOUN
ejpam-1175	412	5	)	)	PUNCT
ejpam-1175	412	6	=	=	SYM
ejpam-1175	412	7	h	h	NOUN
ejpam-1175	412	8	;	;	PUNCT
ejpam-1175	412	9	(	(	PUNCT
ejpam-1175	412	10	γ̃2	γ̃2	PROPN
ejpam-1175	412	11	∪	∪	VERB
ejpam-1175	412	12	δ̃1)∪	δ̃1)∪	PRON
ejpam-1175	412	13	(	(	PUNCT
ejpam-1175	412	14	γ̃	γ̃	PROPN
ejpam-1175	412	15	′	′	NOUN
ejpam-1175	412	16	2	2	NUM
ejpam-1175	412	17	∪	∪	VERB
ejpam-1175	412	18	δ̃	δ̃	PROPN
ejpam-1175	412	19	′	′	NUM
ejpam-1175	412	20	1	1	NUM
ejpam-1175	412	21	)	)	PUNCT
ejpam-1175	412	22	:	:	PUNCT
ejpam-1175	412	23	(	(	PUNCT
ejpam-1175	412	24	p	p	X
ejpam-1175	412	25	−m(x)d	−m(x)d	NOUN
ejpam-1175	412	26	x	x	SYM
ejpam-1175	412	27	−	−	PROPN
ejpam-1175	412	28	p	p	PROPN
ejpam-1175	412	29	k(y)d	k(y)d	PROPN
ejpam-1175	412	30	y	y	PROPN
ejpam-1175	412	31	)	)	PUNCT
ejpam-1175	412	32	(	(	PUNCT
ejpam-1175	412	33	p	p	X
ejpam-1175	412	34	−m(x)d	−m(x)d	NOUN
ejpam-1175	412	35	x	x	INTJ
ejpam-1175	412	36	+	+	PROPN
ejpam-1175	412	37	p	p	X
ejpam-1175	412	38	k(y)d	k(y)d	PROPN
ejpam-1175	412	39	y	y	NOUN
ejpam-1175	412	40	)	)	PUNCT
ejpam-1175	412	41	=	=	PUNCT
ejpam-1175	413	1	−h	−h	ADJ
ejpam-1175	413	2	.	.	PUNCT
ejpam-1175	414	1	let	let	VERB
ejpam-1175	414	2	us	we	PRON
ejpam-1175	414	3	consider	consider	VERB
ejpam-1175	414	4	the	the	DET
ejpam-1175	414	5	intersection	intersection	NOUN
ejpam-1175	414	6	points	point	NOUN
ejpam-1175	414	7	of	of	ADP
ejpam-1175	414	8	the	the	DET
ejpam-1175	414	9	hyperbolic	hyperbolic	ADJ
ejpam-1175	414	10	characteristics	characteristic	NOUN
ejpam-1175	414	11	:	:	PUNCT
ejpam-1175	414	12	γ̃2	γ̃2	PROPN
ejpam-1175	414	13	∩	∩	ADJ
ejpam-1175	414	14	γ̃	γ̃	PROPN
ejpam-1175	414	15	′	′	NOUN
ejpam-1175	414	16	2	2	NUM
ejpam-1175	414	17	=	=	SYM
ejpam-1175	414	18	{	{	PUNCT
ejpam-1175	414	19	p̃2	p̃2	NOUN
ejpam-1175	414	20	}	}	PUNCT
ejpam-1175	414	21	,	,	PUNCT
ejpam-1175	414	22	where	where	SCONJ
ejpam-1175	414	23	p̃2	p̃2	PROPN
ejpam-1175	414	24	=	=	X
ejpam-1175	414	25	(	(	PUNCT
ejpam-1175	414	26	x̃2	x̃2	PROPN
ejpam-1175	414	27	,	,	PUNCT
ejpam-1175	414	28	1	1	NUM
ejpam-1175	414	29	2	2	NUM
ejpam-1175	414	30	)	)	PUNCT
ejpam-1175	414	31	,	,	PUNCT
ejpam-1175	414	32	0	0	PUNCT
ejpam-1175	414	33	<	<	X
ejpam-1175	414	34	x1	x1	PRON
ejpam-1175	414	35	<	<	X
ejpam-1175	414	36	1	1	NUM
ejpam-1175	414	37	2	2	NUM
ejpam-1175	414	38	<	<	X
ejpam-1175	414	39	x̃2	x̃2	PROPN
ejpam-1175	414	40	<	<	X
ejpam-1175	414	41	x2	x2	X
ejpam-1175	414	42	<	<	X
ejpam-1175	414	43	1	1	NUM
ejpam-1175	414	44	;	;	PUNCT
ejpam-1175	414	45	∆̃1	∆̃1	NUM
ejpam-1175	414	46	∩	∩	ADJ
ejpam-1175	414	47	∆̃	∆̃	NOUN
ejpam-1175	414	48	′	′	NOUN
ejpam-1175	415	1	1	1	NUM
ejpam-1175	416	1	=	=	SYM
ejpam-1175	417	1	{	{	PUNCT
ejpam-1175	418	1	p̃	p̃	PROPN
ejpam-1175	418	2	′	′	NUM
ejpam-1175	418	3	1	1	NUM
ejpam-1175	418	4	}	}	PUNCT
ejpam-1175	418	5	,	,	PUNCT
ejpam-1175	418	6	where	where	SCONJ
ejpam-1175	418	7	p̃	p̃	PROPN
ejpam-1175	418	8	′1	′1	X
ejpam-1175	418	9	=	=	SYM
ejpam-1175	418	10	(	(	PUNCT
ejpam-1175	418	11	x̃	x̃	PROPN
ejpam-1175	418	12	′	′	NUM
ejpam-1175	418	13	1	1	NUM
ejpam-1175	418	14	,	,	PUNCT
ejpam-1175	418	15	1	1	NUM
ejpam-1175	418	16	2	2	NUM
ejpam-1175	418	17	)	)	PUNCT
ejpam-1175	418	18	,	,	PUNCT
ejpam-1175	418	19	−2	−2	X
ejpam-1175	418	20	<	<	X
ejpam-1175	418	21	x1	x1	X
ejpam-1175	418	22	<	<	X
ejpam-1175	418	23	x̃	x̃	PROPN
ejpam-1175	418	24	′1	′1	X
ejpam-1175	418	25	<	<	X
ejpam-1175	418	26	−1	−1	NOUN
ejpam-1175	418	27	;	;	PUNCT
ejpam-1175	418	28	γ̃2	γ̃2	PROPN
ejpam-1175	418	29	∩	∩	ADJ
ejpam-1175	418	30	γ̃	γ̃	PROPN
ejpam-1175	418	31	′	′	NOUN
ejpam-1175	418	32	2	2	NUM
ejpam-1175	418	33	=	=	SYM
ejpam-1175	418	34	{	{	PUNCT
ejpam-1175	418	35	q̃2	q̃2	NOUN
ejpam-1175	418	36	}	}	PUNCT
ejpam-1175	418	37	,	,	PUNCT
ejpam-1175	418	38	where	where	SCONJ
ejpam-1175	418	39	q̃2	q̃2	NOUN
ejpam-1175	418	40	=	=	SYM
ejpam-1175	418	41	(	(	PUNCT
ejpam-1175	418	42	−	−	PROPN
ejpam-1175	418	43	1	1	NUM
ejpam-1175	418	44	2	2	NUM
ejpam-1175	418	45	,	,	PUNCT
ejpam-1175	418	46	ỹ2	ỹ2	NOUN
ejpam-1175	418	47	)	)	PUNCT
ejpam-1175	418	48	,	,	PUNCT
ejpam-1175	418	49	1	1	NUM
ejpam-1175	418	50	<	<	X
ejpam-1175	418	51	y1	y1	X
ejpam-1175	418	52	<	<	X
ejpam-1175	418	53	3	3	NUM
ejpam-1175	418	54	2	2	NUM
ejpam-1175	418	55	<	<	X
ejpam-1175	418	56	ỹ2	ỹ2	PROPN
ejpam-1175	418	57	<	<	X
ejpam-1175	418	58	y2	y2	X
ejpam-1175	418	59	<	<	X
ejpam-1175	418	60	2	2	NUM
ejpam-1175	418	61	;	;	PUNCT
ejpam-1175	418	62	δ̃1	δ̃1	X
ejpam-1175	418	63	∩	∩	ADJ
ejpam-1175	418	64	δ̃	δ̃	PROPN
ejpam-1175	418	65	′	′	NOUN
ejpam-1175	418	66	1	1	NUM
ejpam-1175	418	67	=	=	SYM
ejpam-1175	418	68	{	{	PUNCT
ejpam-1175	418	69	q̃	q̃	PROPN
ejpam-1175	418	70	′	′	NUM
ejpam-1175	418	71	1	1	NUM
ejpam-1175	418	72	}	}	PUNCT
ejpam-1175	418	73	,	,	PUNCT
ejpam-1175	418	74	where	where	SCONJ
ejpam-1175	418	75	q̃′1	q̃′1	NOUN
ejpam-1175	418	76	=	=	SYM
ejpam-1175	418	77	(	(	PUNCT
ejpam-1175	418	78	−	−	PROPN
ejpam-1175	418	79	1	1	NUM
ejpam-1175	418	80	2	2	NUM
ejpam-1175	418	81	,	,	PUNCT
ejpam-1175	418	82	ỹ	ỹ	PROPN
ejpam-1175	418	83	′1	′1	NOUN
ejpam-1175	418	84	)	)	PUNCT
ejpam-1175	418	85	,	,	PUNCT
ejpam-1175	418	86	−1	−1	NOUN
ejpam-1175	418	87	<	<	X
ejpam-1175	418	88	y1	y1	NOUN
ejpam-1175	418	89	′	′	NOUN
ejpam-1175	418	90	<	<	X
ejpam-1175	418	91	ỹ	ỹ	PROPN
ejpam-1175	418	92	′1	′1	NOUN
ejpam-1175	418	93	<	<	X
ejpam-1175	418	94	0	0	NUM
ejpam-1175	418	95	.	.	PUNCT
ejpam-1175	419	1	let	let	VERB
ejpam-1175	419	2	the	the	DET
ejpam-1175	419	3	right	right	ADJ
ejpam-1175	419	4	hyperbolic	hyperbolic	ADJ
ejpam-1175	419	5	domain	domain	NOUN
ejpam-1175	419	6	g̃2	g̃2	PROPN
ejpam-1175	419	7	⊂	⊂	PROPN
ejpam-1175	419	8	g2	g2	PROPN
ejpam-1175	419	9	=	=	PRON
ejpam-1175	420	1	{	{	PUNCT
ejpam-1175	420	2	(	(	PUNCT
ejpam-1175	420	3	x	x	INTJ
ejpam-1175	420	4	,	,	PUNCT
ejpam-1175	420	5	y	y	PROPN
ejpam-1175	420	6	)	)	PUNCT
ejpam-1175	420	7	∈	∈	PROPN
ejpam-1175	421	1	d	d	NOUN
ejpam-1175	421	2	:	:	PUNCT
ejpam-1175	421	3	0	0	NUM
ejpam-1175	421	4	<	<	X
ejpam-1175	421	5	x	x	X
ejpam-1175	421	6	<	<	X
ejpam-1175	421	7	1,0	1,0	NUM
ejpam-1175	421	8	<	<	X
ejpam-1175	421	9	y	y	X
ejpam-1175	421	10	<	<	X
ejpam-1175	421	11	1	1	NUM
ejpam-1175	421	12	}	}	PUNCT
ejpam-1175	421	13	with	with	ADP
ejpam-1175	421	14	boundary	boundary	ADJ
ejpam-1175	421	15	∂	∂	NOUN
ejpam-1175	421	16	g̃2	g̃2	PROPN
ejpam-1175	421	17	=	=	SYM
ejpam-1175	421	18	(	(	PUNCT
ejpam-1175	421	19	o1b1)∪	o1b1)∪	X
ejpam-1175	421	20	(	(	PUNCT
ejpam-1175	421	21	o2b2)∪	o2b2)∪	X
ejpam-1175	421	22	(	(	PUNCT
ejpam-1175	421	23	γ1	γ1	PROPN
ejpam-1175	421	24	∪γ1	∪γ1	VERB
ejpam-1175	421	25	′)∪	′)∪	PROPN
ejpam-1175	421	26	(	(	PUNCT
ejpam-1175	421	27	γ̃2	γ̃2	PROPN
ejpam-1175	421	28	∪	∪	ADP
ejpam-1175	421	29	γ̃	γ̃	PROPN
ejpam-1175	421	30	′	′	NUM
ejpam-1175	421	31	2	2	NUM
ejpam-1175	421	32	)	)	PUNCT
ejpam-1175	421	33	.	.	PUNCT
ejpam-1175	422	1	let	let	VERB
ejpam-1175	422	2	the	the	DET
ejpam-1175	422	3	upper	upper	ADJ
ejpam-1175	422	4	hyperbolic	hyperbolic	ADJ
ejpam-1175	422	5	domain	domain	NOUN
ejpam-1175	422	6	g̃′2	g̃′2	PROPN
ejpam-1175	422	7	⊂	⊂	PROPN
ejpam-1175	422	8	g2	g2	PROPN
ejpam-1175	422	9	′	′	NUM
ejpam-1175	423	1	=	=	PUNCT
ejpam-1175	423	2	{	{	PUNCT
ejpam-1175	423	3	(	(	PUNCT
ejpam-1175	423	4	x	x	INTJ
ejpam-1175	423	5	,	,	PUNCT
ejpam-1175	423	6	y	y	PROPN
ejpam-1175	423	7	)	)	PUNCT
ejpam-1175	423	8	∈	∈	PROPN
ejpam-1175	423	9	d	d	NOUN
ejpam-1175	423	10	:	:	PUNCT
ejpam-1175	423	11	−1	−1	NOUN
ejpam-1175	423	12	<	<	X
ejpam-1175	423	13	x	x	X
ejpam-1175	423	14	<	<	X
ejpam-1175	423	15	0,1	0,1	NUM
ejpam-1175	423	16	<	<	X
ejpam-1175	423	17	y	y	X
ejpam-1175	423	18	<	<	X
ejpam-1175	423	19	2	2	NUM
ejpam-1175	423	20	}	}	PUNCT
ejpam-1175	423	21	with	with	ADP
ejpam-1175	423	22	boundary	boundary	ADJ
ejpam-1175	423	23	∂	∂	NOUN
ejpam-1175	423	24	g̃′2	g̃′2	NOUN
ejpam-1175	423	25	=	=	PUNCT
ejpam-1175	423	26	(	(	PUNCT
ejpam-1175	423	27	o1z1)∪	o1z1)∪	X
ejpam-1175	423	28	(	(	PUNCT
ejpam-1175	423	29	o1	o1	NOUN
ejpam-1175	423	30	′e1)∪	′e1)∪	PRON
ejpam-1175	423	31	(	(	PUNCT
ejpam-1175	423	32	γ1	γ1	PROPN
ejpam-1175	423	33	∪	∪	PROPN
ejpam-1175	423	34	γ1	γ1	PROPN
ejpam-1175	423	35	′)∪	′)∪	PROPN
ejpam-1175	423	36	(	(	PUNCT
ejpam-1175	423	37	γ̃2	γ̃2	PROPN
ejpam-1175	423	38	∪	∪	ADP
ejpam-1175	423	39	γ̃	γ̃	PROPN
ejpam-1175	423	40	′	′	NUM
ejpam-1175	423	41	2	2	NUM
ejpam-1175	423	42	)	)	PUNCT
ejpam-1175	423	43	.	.	PUNCT
ejpam-1175	424	1	let	let	VERB
ejpam-1175	424	2	the	the	DET
ejpam-1175	424	3	left	left	ADJ
ejpam-1175	424	4	hyperbolic	hyperbolic	ADJ
ejpam-1175	424	5	domain	domain	NOUN
ejpam-1175	424	6	g̃′′2	g̃′′2	NOUN
ejpam-1175	424	7	⊂	⊂	PROPN
ejpam-1175	424	8	g2	g2	PROPN
ejpam-1175	424	9	′′	′′	PROPN
ejpam-1175	424	10	=	=	PRON
ejpam-1175	424	11	{	{	PUNCT
ejpam-1175	424	12	(	(	PUNCT
ejpam-1175	424	13	x	x	INTJ
ejpam-1175	424	14	,	,	PUNCT
ejpam-1175	424	15	y	y	PROPN
ejpam-1175	424	16	)	)	PUNCT
ejpam-1175	424	17	∈	∈	PROPN
ejpam-1175	425	1	d	d	NOUN
ejpam-1175	425	2	:	:	PUNCT
ejpam-1175	425	3	−2	−2	NOUN
ejpam-1175	425	4	<	<	X
ejpam-1175	425	5	x	x	X
ejpam-1175	425	6	<	<	X
ejpam-1175	425	7	−1,0	−1,0	X
ejpam-1175	425	8	<	<	X
ejpam-1175	425	9	y	y	X
ejpam-1175	425	10	<	<	X
ejpam-1175	425	11	1	1	NUM
ejpam-1175	425	12	}	}	PUNCT
ejpam-1175	425	13	with	with	ADP
ejpam-1175	425	14	boundary	boundary	ADJ
ejpam-1175	425	15	∂	∂	NOUN
ejpam-1175	425	16	g̃′′2	g̃′′2	NOUN
ejpam-1175	425	17	=	=	SYM
ejpam-1175	425	18	(	(	PUNCT
ejpam-1175	425	19	o1	o1	PROPN
ejpam-1175	425	20	′a1)∪	′a1)∪	PUNCT
ejpam-1175	425	21	(	(	PUNCT
ejpam-1175	425	22	o2	o2	PROPN
ejpam-1175	425	23	′a2)∪	′a2)∪	X
ejpam-1175	425	24	(	(	PUNCT
ejpam-1175	425	25	∆̃1	∆̃1	X
ejpam-1175	425	26	∪	∪	ADJ
ejpam-1175	425	27	∆̃	∆̃	NOUN
ejpam-1175	425	28	′	′	NUM
ejpam-1175	426	1	1)∪	1)∪	NUM
ejpam-1175	426	2	(	(	PUNCT
ejpam-1175	426	3	∆2	∆2	PROPN
ejpam-1175	426	4	∪∆2	∪∆2	PROPN
ejpam-1175	426	5	′	′	PROPN
ejpam-1175	426	6	)	)	PUNCT
ejpam-1175	426	7	.	.	PUNCT
ejpam-1175	427	1	let	let	VERB
ejpam-1175	427	2	the	the	DET
ejpam-1175	427	3	lower	low	ADJ
ejpam-1175	427	4	hyperbolic	hyperbolic	ADJ
ejpam-1175	427	5	domain	domain	NOUN
ejpam-1175	427	6	g̃′′′2	g̃′′′2	NOUN
ejpam-1175	427	7	⊂	⊂	PROPN
ejpam-1175	427	8	g2	g2	PROPN
ejpam-1175	427	9	′′′	′′′	PROPN
ejpam-1175	428	1	=	=	PRON
ejpam-1175	428	2	{	{	PUNCT
ejpam-1175	428	3	(	(	PUNCT
ejpam-1175	428	4	x	x	INTJ
ejpam-1175	428	5	,	,	PUNCT
ejpam-1175	428	6	y	y	PROPN
ejpam-1175	428	7	)	)	PUNCT
ejpam-1175	428	8	∈	∈	PROPN
ejpam-1175	428	9	d	d	NOUN
ejpam-1175	428	10	:	:	PUNCT
ejpam-1175	428	11	−1	−1	NOUN
ejpam-1175	428	12	<	<	X
ejpam-1175	428	13	x	x	X
ejpam-1175	428	14	<	<	X
ejpam-1175	428	15	0,−1	0,−1	X
ejpam-1175	428	16	<	<	X
ejpam-1175	428	17	y	y	X
ejpam-1175	428	18	<	<	X
ejpam-1175	428	19	0	0	NUM
ejpam-1175	428	20	}	}	PUNCT
ejpam-1175	428	21	with	with	ADP
ejpam-1175	428	22	boundary	boundary	ADJ
ejpam-1175	428	23	∂	∂	NOUN
ejpam-1175	428	24	g̃′′′2	g̃′′′2	NOUN
ejpam-1175	428	25	=	=	SYM
ejpam-1175	428	26	(	(	PUNCT
ejpam-1175	428	27	o2z2)∪	o2z2)∪	PROPN
ejpam-1175	428	28	(	(	PUNCT
ejpam-1175	428	29	o2	o2	PROPN
ejpam-1175	428	30	′e2)∪	′e2)∪	X
ejpam-1175	428	31	(	(	PUNCT
ejpam-1175	428	32	δ̃1	δ̃1	VERB
ejpam-1175	428	33	∪	∪	VERB
ejpam-1175	428	34	δ̃	δ̃	PROPN
ejpam-1175	428	35	′	′	NOUN
ejpam-1175	428	36	1)∪	1)∪	NUM
ejpam-1175	428	37	(	(	PUNCT
ejpam-1175	428	38	δ2	δ2	VERB
ejpam-1175	428	39	∪δ2	∪δ2	NOUN
ejpam-1175	428	40	′	′	NOUN
ejpam-1175	428	41	)	)	PUNCT
ejpam-1175	428	42	.	.	PUNCT
ejpam-1175	429	1	assume	assume	VERB
ejpam-1175	429	2	boundary	boundary	ADJ
ejpam-1175	429	3	conditions	condition	NOUN
ejpam-1175	429	4	on	on	ADP
ejpam-1175	429	5	the	the	DET
ejpam-1175	429	6	above	above	ADJ
ejpam-1175	429	7	exterior	exterior	ADJ
ejpam-1175	429	8	boundary	boundary	ADJ
ejpam-1175	429	9	e	e	NOUN
ejpam-1175	429	10	x	x	PUNCT
ejpam-1175	429	11	t(d̃	t(d̃	PROPN
ejpam-1175	429	12	)	)	PUNCT
ejpam-1175	429	13	:	:	PUNCT
ejpam-1175	430	1	u	u	NOUN
ejpam-1175	430	2	=	=	PRON
ejpam-1175	430	3			PROPN
ejpam-1175	430	4			X
ejpam-1175	430	5			PROPN
ejpam-1175	430	6			PROPN
ejpam-1175	430	7			PROPN
ejpam-1175	430	8			NOUN
ejpam-1175	430	9			PROPN
ejpam-1175	430	10			PROPN
ejpam-1175	430	11			PROPN
ejpam-1175	430	12			PROPN
ejpam-1175	430	13			NOUN
ejpam-1175	430	14	ϕ1(s	ϕ1(s	ADP
ejpam-1175	430	15	)	)	PUNCT
ejpam-1175	430	16	on	on	ADP
ejpam-1175	430	17	γ0	γ0	NOUN
ejpam-1175	430	18	;	;	PUNCT
ejpam-1175	430	19	ϕ2(s	ϕ2(s	X
ejpam-1175	430	20	)	)	PUNCT
ejpam-1175	430	21	on	on	ADP
ejpam-1175	430	22	γ0	γ0	PROPN
ejpam-1175	430	23	′	′	NUM
ejpam-1175	430	24	ϕ3(s	ϕ3(s	SYM
ejpam-1175	430	25	)	)	PUNCT
ejpam-1175	430	26	on	on	ADP
ejpam-1175	430	27	γ0	γ0	PROPN
ejpam-1175	430	28	′′	′′	PROPN
ejpam-1175	430	29	;	;	PUNCT
ejpam-1175	430	30	ϕ4(s	ϕ4(s	X
ejpam-1175	430	31	)	)	PUNCT
ejpam-1175	430	32	on	on	ADP
ejpam-1175	430	33	γ0	γ0	NOUN
ejpam-1175	430	34	′′′	′′′	PROPN
ejpam-1175	430	35	ψ̃1(x	ψ̃1(x	NOUN
ejpam-1175	430	36	)	)	PUNCT
ejpam-1175	430	37	on	on	ADP
ejpam-1175	430	38	γ̃2	γ̃2	PROPN
ejpam-1175	430	39	;	;	PUNCT
ejpam-1175	430	40	ψ̃2(x	ψ̃2(x	NOUN
ejpam-1175	430	41	)	)	PUNCT
ejpam-1175	430	42	on	on	ADP
ejpam-1175	430	43	γ̃′2	γ̃′2	PROPN
ejpam-1175	430	44	ψ̃3(x	ψ̃3(x	PROPN
ejpam-1175	430	45	)	)	PUNCT
ejpam-1175	430	46	on	on	ADP
ejpam-1175	430	47	γ̃2	γ̃2	PROPN
ejpam-1175	430	48	;	;	PUNCT
ejpam-1175	430	49	ψ̃4(x	ψ̃4(x	X
ejpam-1175	430	50	)	)	PUNCT
ejpam-1175	430	51	on	on	ADP
ejpam-1175	430	52	γ̃′2	γ̃′2	PROPN
ejpam-1175	430	53	ψ̃5(x	ψ̃5(x	NOUN
ejpam-1175	430	54	)	)	PUNCT
ejpam-1175	430	55	on	on	ADP
ejpam-1175	430	56	∆̃1	∆̃1	NUM
ejpam-1175	430	57	;	;	PUNCT
ejpam-1175	430	58	ψ̃6(x	ψ̃6(x	PROPN
ejpam-1175	430	59	)	)	PUNCT
ejpam-1175	430	60	on	on	ADP
ejpam-1175	430	61	∆̃′1	∆̃′1	NOUN
ejpam-1175	430	62	ψ̃7(x	ψ̃7(x	NOUN
ejpam-1175	430	63	)	)	PUNCT
ejpam-1175	430	64	on	on	ADP
ejpam-1175	430	65	δ̃1	δ̃1	PROPN
ejpam-1175	430	66	;	;	PUNCT
ejpam-1175	430	67	ψ̃8(x	ψ̃8(x	PROPN
ejpam-1175	430	68	)	)	PUNCT
ejpam-1175	430	69	on	on	ADP
ejpam-1175	430	70	δ̃′1	δ̃′1	PROPN
ejpam-1175	430	71	(	(	PUNCT
ejpam-1175	430	72	11	11	NUM
ejpam-1175	430	73	)	)	PUNCT
ejpam-1175	430	74	with	with	ADP
ejpam-1175	430	75	continuous	continuous	ADJ
ejpam-1175	430	76	prescribed	prescribed	ADJ
ejpam-1175	430	77	values	value	NOUN
ejpam-1175	430	78	.	.	PUNCT
ejpam-1175	431	1	the	the	DET
ejpam-1175	431	2	exterior	exterior	ADJ
ejpam-1175	431	3	frankl	frankl	PROPN
ejpam-1175	431	4	problem	problem	NOUN
ejpam-1175	431	5	or	or	CCONJ
ejpam-1175	431	6	problem	problem	NOUN
ejpam-1175	431	7	(	(	PUNCT
ejpam-1175	431	8	ef	ef	PROPN
ejpam-1175	431	9	):	):	PUNCT
ejpam-1175	431	10	consists	consist	NOUN
ejpam-1175	431	11	of	of	ADP
ejpam-1175	431	12	finding	find	VERB
ejpam-1175	431	13	a	a	DET
ejpam-1175	431	14	solution	solution	NOUN
ejpam-1175	431	15	u	u	NOUN
ejpam-1175	431	16	of	of	ADP
ejpam-1175	431	17	the	the	DET
ejpam-1175	431	18	quaterelliptic	quaterelliptic	ADJ
ejpam-1175	431	19	-quaterhyperbolic	-quaterhyperbolic	ADJ
ejpam-1175	431	20	equation	equation	NOUN
ejpam-1175	431	21	(	(	PUNCT
ejpam-1175	431	22	1	1	NUM
ejpam-1175	431	23	)	)	PUNCT
ejpam-1175	431	24	with	with	ADP
ejpam-1175	431	25	eight	eight	NUM
ejpam-1175	431	26	parabolic	parabolic	ADJ
ejpam-1175	431	27	lines	line	NOUN
ejpam-1175	431	28	in	in	ADP
ejpam-1175	431	29	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	431	30	d	d	PROPN
ejpam-1175	431	31	)	)	PUNCT
ejpam-1175	431	32	and	and	CCONJ
ejpam-1175	431	33	which	which	PRON
ejpam-1175	431	34	assumes	assume	VERB
ejpam-1175	431	35	continuous	continuous	ADJ
ejpam-1175	431	36	prescribed	prescribed	ADJ
ejpam-1175	431	37	values	value	NOUN
ejpam-1175	431	38	(	(	PUNCT
ejpam-1175	431	39	11	11	NUM
ejpam-1175	431	40	)	)	PUNCT
ejpam-1175	431	41	.	.	PUNCT
ejpam-1175	432	1	uniqueness	uniqueness	PROPN
ejpam-1175	432	2	theorem	theorem	VERB
ejpam-1175	432	3	2	2	NUM
ejpam-1175	432	4	.	.	X
ejpam-1175	432	5	consider	consider	VERB
ejpam-1175	432	6	the	the	DET
ejpam-1175	432	7	quaterelliptic	quaterelliptic	ADJ
ejpam-1175	432	8	quaterhyperbolic	quaterhyperbolic	ADJ
ejpam-1175	432	9	equation	equation	NOUN
ejpam-1175	432	10	(	(	PUNCT
ejpam-1175	432	11	1	1	NUM
ejpam-1175	432	12	)	)	PUNCT
ejpam-1175	432	13	with	with	ADP
ejpam-1175	432	14	eight	eight	NUM
ejpam-1175	432	15	parabolic	parabolic	ADJ
ejpam-1175	432	16	lines	line	NOUN
ejpam-1175	432	17	and	and	CCONJ
ejpam-1175	432	18	the	the	DET
ejpam-1175	432	19	boundary	boundary	ADJ
ejpam-1175	432	20	condition	condition	NOUN
ejpam-1175	432	21	(	(	PUNCT
ejpam-1175	432	22	11	11	NUM
ejpam-1175	432	23	)	)	PUNCT
ejpam-1175	432	24	.	.	PUNCT
ejpam-1175	433	1	assume	assume	VERB
ejpam-1175	433	2	the	the	DET
ejpam-1175	433	3	above	above	ADV
ejpam-1175	433	4	mixed	mixed	ADJ
ejpam-1175	433	5	doubly	doubly	ADV
ejpam-1175	433	6	connected	connect	VERB
ejpam-1175	433	7	domain	domain	NOUN
ejpam-1175	433	8	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	433	9	d	d	PROPN
ejpam-1175	433	10	)	)	PUNCT
ejpam-1175	433	11	and	and	CCONJ
ejpam-1175	433	12	the	the	DET
ejpam-1175	433	13	following	follow	VERB
ejpam-1175	433	14	conditions	condition	NOUN
ejpam-1175	433	15	:	:	PUNCT
ejpam-1175	433	16	j.	j.	PROPN
ejpam-1175	433	17	rassias	rassias	PROPN
ejpam-1175	433	18	/	/	SYM
ejpam-1175	433	19	eur	eur	PROPN
ejpam-1175	433	20	.	.	PUNCT
ejpam-1175	434	1	j.	j.	PROPN
ejpam-1175	434	2	pure	pure	PROPN
ejpam-1175	434	3	appl	appl	PROPN
ejpam-1175	434	4	.	.	PROPN
ejpam-1175	434	5	math	math	PROPN
ejpam-1175	434	6	,	,	PUNCT
ejpam-1175	434	7	4	4	NUM
ejpam-1175	434	8	(	(	PUNCT
ejpam-1175	434	9	2011	2011	NUM
ejpam-1175	434	10	)	)	PUNCT
ejpam-1175	434	11	,	,	PUNCT
ejpam-1175	434	12	186	186	NUM
ejpam-1175	434	13	-	-	SYM
ejpam-1175	434	14	208	208	NUM
ejpam-1175	434	15	203	203	NUM
ejpam-1175	434	16	(	(	PUNCT
ejpam-1175	434	17	r1	r1	NOUN
ejpam-1175	434	18	)	)	PUNCT
ejpam-1175	434	19	r	r	NOUN
ejpam-1175	434	20	≤	≤	NUM
ejpam-1175	434	21	0	0	NUM
ejpam-1175	434	22	on	on	ADP
ejpam-1175	434	23	the	the	DET
ejpam-1175	434	24	interior	interior	ADJ
ejpam-1175	434	25	boundary	boundary	NOUN
ejpam-1175	434	26	int(d̃)(=	int(d̃)(=	PROPN
ejpam-1175	434	27	int(d	int(d	PROPN
ejpam-1175	434	28	)	)	PUNCT
ejpam-1175	434	29	)	)	PUNCT
ejpam-1175	434	30	,	,	PUNCT
ejpam-1175	434	31	(	(	PUNCT
ejpam-1175	434	32	r2	r2	PROPN
ejpam-1175	434	33	)	)	PUNCT
ejpam-1175	434	34			PROPN
ejpam-1175	434	35			PROPN
ejpam-1175	434	36			PROPN
ejpam-1175	434	37	xd	xd	INTJ
ejpam-1175	435	1	y	y	PROPN
ejpam-1175	435	2	−	−	PROPN
ejpam-1175	436	1	(	(	PUNCT
ejpam-1175	436	2	y	y	PROPN
ejpam-1175	436	3	−	−	PROPN
ejpam-1175	436	4	1)d	1)d	NUM
ejpam-1175	436	5	x	x	SYM
ejpam-1175	436	6	≥	≥	NOUN
ejpam-1175	436	7	0	0	NUM
ejpam-1175	436	8	on	on	ADP
ejpam-1175	436	9	γ0	γ0	NOUN
ejpam-1175	436	10	xd	xd	INTJ
ejpam-1175	436	11	y	y	PROPN
ejpam-1175	436	12	−	−	PROPN
ejpam-1175	436	13	yd	yd	PROPN
ejpam-1175	436	14	x	x	PUNCT
ejpam-1175	436	15	≥	≥	NOUN
ejpam-1175	436	16	0	0	NUM
ejpam-1175	436	17	on	on	ADP
ejpam-1175	436	18	γ0	γ0	NOUN
ejpam-1175	436	19	′	′	NUM
ejpam-1175	437	1	(	(	PUNCT
ejpam-1175	437	2	x	x	X
ejpam-1175	437	3	+	+	NUM
ejpam-1175	437	4	1)d	1)d	NUM
ejpam-1175	437	5	y	y	NOUN
ejpam-1175	437	6	−	−	PROPN
ejpam-1175	437	7	(	(	PUNCT
ejpam-1175	437	8	y	y	PROPN
ejpam-1175	437	9	−	−	PROPN
ejpam-1175	437	10	1)d	1)d	NUM
ejpam-1175	437	11	x	x	SYM
ejpam-1175	437	12	≥	≥	NOUN
ejpam-1175	437	13	0	0	NUM
ejpam-1175	437	14	on	on	ADP
ejpam-1175	437	15	γ0	γ0	PROPN
ejpam-1175	437	16	′′	′′	PROPN
ejpam-1175	437	17	(	(	PUNCT
ejpam-1175	437	18	x	x	PROPN
ejpam-1175	437	19	+	+	NUM
ejpam-1175	437	20	1)d	1)d	NUM
ejpam-1175	437	21	y	y	NOUN
ejpam-1175	437	22	−	−	PROPN
ejpam-1175	437	23	yd	yd	NOUN
ejpam-1175	437	24	x	x	SYM
ejpam-1175	437	25	≥	≥	NOUN
ejpam-1175	437	26	0	0	NUM
ejpam-1175	437	27	on	on	ADP
ejpam-1175	437	28	γ0	γ0	PROPN
ejpam-1175	437	29	′′′	′′′	PROPN
ejpam-1175	437	30	,	,	PUNCT
ejpam-1175	437	31	(	(	PUNCT
ejpam-1175	437	32	r3	r3	NOUN
ejpam-1175	437	33	)	)	PUNCT
ejpam-1175	437	34			PROPN
ejpam-1175	437	35			PROPN
ejpam-1175	437	36			PROPN
ejpam-1175	437	37			PROPN
ejpam-1175	437	38			PROPN
ejpam-1175	437	39			PROPN
ejpam-1175	437	40			PROPN
ejpam-1175	437	41			PROPN
ejpam-1175	437	42			PROPN
ejpam-1175	437	43			NOUN
ejpam-1175	437	44			PROPN
ejpam-1175	437	45			PROPN
ejpam-1175	437	46			PROPN
ejpam-1175	437	47			PROPN
ejpam-1175	437	48			PROPN
ejpam-1175	437	49			PROPN
ejpam-1175	437	50			PROPN
ejpam-1175	437	51			PROPN
ejpam-1175	437	52			NOUN
ejpam-1175	437	53	2r	2r	NUM
ejpam-1175	438	1	+	+	CCONJ
ejpam-1175	438	2	x	x	PUNCT
ejpam-1175	438	3	rx	rx	VERB
ejpam-1175	438	4	+	+	CCONJ
ejpam-1175	438	5	(	(	PUNCT
ejpam-1175	438	6	y	y	PROPN
ejpam-1175	438	7	−	−	PROPN
ejpam-1175	439	1	1)ry	1)ry	PROPN
ejpam-1175	439	2	≤	≤	NOUN
ejpam-1175	439	3	0	0	NUM
ejpam-1175	439	4	in	in	ADP
ejpam-1175	439	5	g1	g1	PROPN
ejpam-1175	439	6	2r	2r	NUM
ejpam-1175	440	1	+	+	CCONJ
ejpam-1175	440	2	x	x	PUNCT
ejpam-1175	440	3	rx	rx	VERB
ejpam-1175	440	4	+	+	CCONJ
ejpam-1175	440	5	yry	yry	VERB
ejpam-1175	440	6	≤	≤	NOUN
ejpam-1175	440	7	0	0	NUM
ejpam-1175	440	8	in	in	ADP
ejpam-1175	440	9	g1	g1	PROPN
ejpam-1175	440	10	′	′	NUM
ejpam-1175	440	11	2r	2r	NUM
ejpam-1175	441	1	+	+	CCONJ
ejpam-1175	441	2	(	(	PUNCT
ejpam-1175	441	3	x	x	SYM
ejpam-1175	441	4	+	+	CCONJ
ejpam-1175	441	5	1)rx	1)rx	NOUN
ejpam-1175	441	6	+	+	CCONJ
ejpam-1175	441	7	(	(	PUNCT
ejpam-1175	441	8	y	y	PROPN
ejpam-1175	441	9	−	−	PROPN
ejpam-1175	441	10	1)ry	1)ry	PROPN
ejpam-1175	441	11	≤	≤	NOUN
ejpam-1175	441	12	0	0	NUM
ejpam-1175	441	13	in	in	ADP
ejpam-1175	441	14	g1	g1	PROPN
ejpam-1175	441	15	′′	′′	PROPN
ejpam-1175	441	16	2r	2r	PRON
ejpam-1175	442	1	+	+	CCONJ
ejpam-1175	442	2	(	(	PUNCT
ejpam-1175	442	3	x	x	SYM
ejpam-1175	442	4	+	+	NUM
ejpam-1175	442	5	1)rx	1)rx	NOUN
ejpam-1175	442	6	+	+	CCONJ
ejpam-1175	442	7	yry	yry	NOUN
ejpam-1175	442	8	≤	≤	NOUN
ejpam-1175	442	9	0	0	NUM
ejpam-1175	442	10	in	in	ADP
ejpam-1175	442	11	g1	g1	PROPN
ejpam-1175	442	12	′′′	′′′	ADP
ejpam-1175	443	1	r	r	NOUN
ejpam-1175	443	2	+	+	NOUN
ejpam-1175	443	3	x	x	PUNCT
ejpam-1175	443	4	rx	rx	VERB
ejpam-1175	443	5	≤	≤	NOUN
ejpam-1175	443	6	0	0	NUM
ejpam-1175	443	7	in	in	ADP
ejpam-1175	443	8	g̃2	g̃2	PROPN
ejpam-1175	443	9	r	r	NOUN
ejpam-1175	444	1	+	+	CCONJ
ejpam-1175	444	2	(	(	PUNCT
ejpam-1175	444	3	y	y	PROPN
ejpam-1175	444	4	−	−	PROPN
ejpam-1175	445	1	1)ry	1)ry	PROPN
ejpam-1175	445	2	≤	≤	NOUN
ejpam-1175	445	3	0	0	NUM
ejpam-1175	445	4	in	in	ADP
ejpam-1175	445	5	g̃′2	g̃′2	PROPN
ejpam-1175	445	6	r	r	NOUN
ejpam-1175	445	7	+	+	CCONJ
ejpam-1175	445	8	(	(	PUNCT
ejpam-1175	445	9	x	x	SYM
ejpam-1175	445	10	+	+	NUM
ejpam-1175	445	11	1)rx	1)rx	NUM
ejpam-1175	445	12	≤	≤	NOUN
ejpam-1175	445	13	0	0	NUM
ejpam-1175	445	14	in	in	ADP
ejpam-1175	445	15	g̃′′2	g̃′′2	NOUN
ejpam-1175	445	16	r	r	NOUN
ejpam-1175	445	17	+	+	CCONJ
ejpam-1175	445	18	yry	yry	VERB
ejpam-1175	445	19	≤	≤	NOUN
ejpam-1175	445	20	0	0	NUM
ejpam-1175	445	21	in	in	ADP
ejpam-1175	445	22	g̃′′′2	g̃′′′2	PROPN
ejpam-1175	445	23	,	,	PUNCT
ejpam-1175	445	24	(	(	PUNCT
ejpam-1175	445	25	r4	r4	PROPN
ejpam-1175	445	26	)	)	PUNCT
ejpam-1175	445	27	ki	ki	PROPN
ejpam-1175	445	28	>	>	X
ejpam-1175	445	29	0	0	PROPN
ejpam-1175	445	30	,	,	PUNCT
ejpam-1175	445	31	mi	mi	X
ejpam-1175	445	32	>	>	X
ejpam-1175	445	33	0	0	PUNCT
ejpam-1175	446	1	(	(	PUNCT
ejpam-1175	446	2	i	i	NOUN
ejpam-1175	446	3	=	=	NOUN
ejpam-1175	446	4	1,2	1,2	NUM
ejpam-1175	446	5	)	)	PUNCT
ejpam-1175	446	6	,	,	PUNCT
ejpam-1175	446	7	in	in	ADP
ejpam-1175	446	8	g1	g1	PROPN
ejpam-1175	446	9	∪	∪	VERB
ejpam-1175	446	10	g1	g1	PROPN
ejpam-1175	446	11	′	′	NUM
ejpam-1175	446	12	∪	∪	ADJ
ejpam-1175	446	13	g1	g1	NOUN
ejpam-1175	446	14	′′	′′	PROPN
ejpam-1175	446	15	∪	∪	ADP
ejpam-1175	446	16	g1	g1	PROPN
ejpam-1175	446	17	′′′	′′′	PROPN
ejpam-1175	446	18	,	,	PUNCT
ejpam-1175	446	19	(	(	PUNCT
ejpam-1175	446	20	r5	r5	PROPN
ejpam-1175	446	21	)	)	PUNCT
ejpam-1175	446	22	¨	¨	NOUN
ejpam-1175	446	23	k1	k1	X
ejpam-1175	446	24	<	<	X
ejpam-1175	446	25	0	0	NUM
ejpam-1175	446	26	,	,	PUNCT
ejpam-1175	446	27	m1	m1	PROPN
ejpam-1175	446	28	>	>	X
ejpam-1175	446	29	0	0	PUNCT
ejpam-1175	447	1	in	in	ADP
ejpam-1175	447	2	g̃2	g̃2	PROPN
ejpam-1175	447	3	∪	∪	NOUN
ejpam-1175	447	4	g̃′′2	g̃′′2	NOUN
ejpam-1175	447	5	k1	k1	X
ejpam-1175	447	6	>	>	X
ejpam-1175	447	7	0	0	PUNCT
ejpam-1175	447	8	,	,	PUNCT
ejpam-1175	447	9	m1	m1	PROPN
ejpam-1175	447	10	<	<	X
ejpam-1175	447	11	0	0	PUNCT
ejpam-1175	447	12	in	in	ADP
ejpam-1175	447	13	g̃′2	g̃′2	PROPN
ejpam-1175	447	14	∪	∪	X
ejpam-1175	447	15	g̃′′′2	g̃′′′2	NOUN
ejpam-1175	447	16	,	,	PUNCT
ejpam-1175	447	17	(	(	PUNCT
ejpam-1175	447	18	r6	r6	NOUN
ejpam-1175	447	19	)	)	PUNCT
ejpam-1175	447	20			PROPN
ejpam-1175	447	21			PRON
ejpam-1175	447	22			NOUN
ejpam-1175	447	23	ṁ1	ṁ1	PROPN
ejpam-1175	447	24	≥	≥	NOUN
ejpam-1175	447	25	0	0	NUM
ejpam-1175	447	26	,	,	PUNCT
ejpam-1175	447	27	ṁ2	ṁ2	NOUN
ejpam-1175	447	28	≥	≥	NUM
ejpam-1175	447	29	0	0	NUM
ejpam-1175	447	30	;	;	PUNCT
ejpam-1175	447	31	k1	k1	PROPN
ejpam-1175	447	32	′	′	NUM
ejpam-1175	447	33	≥	≥	NOUN
ejpam-1175	447	34	0	0	NUM
ejpam-1175	447	35	,	,	PUNCT
ejpam-1175	447	36	k2	k2	ADJ
ejpam-1175	447	37	′	′	NUM
ejpam-1175	447	38	≥	≥	NOUN
ejpam-1175	447	39	0	0	NUM
ejpam-1175	447	40	in	in	ADP
ejpam-1175	447	41	g1	g1	PROPN
ejpam-1175	447	42	ṁ1	ṁ1	PROPN
ejpam-1175	447	43	≥	≥	PRON
ejpam-1175	447	44	0	0	NUM
ejpam-1175	447	45	,	,	PUNCT
ejpam-1175	447	46	ṁ2	ṁ2	NOUN
ejpam-1175	447	47	≥	≥	NUM
ejpam-1175	447	48	0	0	NUM
ejpam-1175	447	49	;	;	PUNCT
ejpam-1175	447	50	k1	k1	NOUN
ejpam-1175	447	51	′	′	NOUN
ejpam-1175	447	52	≤	≤	NUM
ejpam-1175	447	53	0	0	NUM
ejpam-1175	447	54	,	,	PUNCT
ejpam-1175	447	55	k2	k2	ADJ
ejpam-1175	447	56	′	′	NOUN
ejpam-1175	447	57	≤	≤	NOUN
ejpam-1175	447	58	0	0	NUM
ejpam-1175	447	59	in	in	ADP
ejpam-1175	447	60	g1	g1	PROPN
ejpam-1175	447	61	′	′	PUNCT
ejpam-1175	448	1	ṁ1	ṁ1	PROPN
ejpam-1175	448	2	≤	≤	NOUN
ejpam-1175	448	3	0	0	NUM
ejpam-1175	448	4	,	,	PUNCT
ejpam-1175	448	5	ṁ2	ṁ2	NOUN
ejpam-1175	448	6	≤	≤	NOUN
ejpam-1175	448	7	0	0	NUM
ejpam-1175	448	8	;	;	PUNCT
ejpam-1175	448	9	k1	k1	PROPN
ejpam-1175	448	10	′	′	NUM
ejpam-1175	448	11	≥	≥	NOUN
ejpam-1175	448	12	0	0	NUM
ejpam-1175	448	13	,	,	PUNCT
ejpam-1175	448	14	k2	k2	ADJ
ejpam-1175	448	15	′	′	NUM
ejpam-1175	448	16	≥	≥	NOUN
ejpam-1175	448	17	0	0	NUM
ejpam-1175	448	18	in	in	ADP
ejpam-1175	448	19	g1	g1	NOUN
ejpam-1175	448	20	′′	′′	PROPN
ejpam-1175	448	21	ṁ1	ṁ1	PROPN
ejpam-1175	448	22	≤	≤	ADV
ejpam-1175	448	23	0	0	NUM
ejpam-1175	448	24	,	,	PUNCT
ejpam-1175	448	25	ṁ2	ṁ2	NOUN
ejpam-1175	448	26	≤	≤	NOUN
ejpam-1175	448	27	0	0	NUM
ejpam-1175	448	28	;	;	PUNCT
ejpam-1175	448	29	k1	k1	NOUN
ejpam-1175	448	30	′	′	NOUN
ejpam-1175	448	31	≤	≤	NUM
ejpam-1175	448	32	0	0	NUM
ejpam-1175	448	33	,	,	PUNCT
ejpam-1175	448	34	k2	k2	ADJ
ejpam-1175	448	35	′	′	NOUN
ejpam-1175	448	36	≤	≤	NOUN
ejpam-1175	448	37	0	0	NUM
ejpam-1175	448	38	in	in	ADP
ejpam-1175	448	39	g1	g1	PROPN
ejpam-1175	448	40	′′′	′′′	PROPN
ejpam-1175	448	41	,	,	PUNCT
ejpam-1175	448	42	(	(	PUNCT
ejpam-1175	448	43	r7	r7	PROPN
ejpam-1175	448	44	)	)	PUNCT
ejpam-1175	448	45	k2	k2	PROPN
ejpam-1175	448	46	>	>	X
ejpam-1175	448	47	0	0	PROPN
ejpam-1175	448	48	,	,	PUNCT
ejpam-1175	448	49	m2	m2	PROPN
ejpam-1175	448	50	>	>	X
ejpam-1175	448	51	0	0	PUNCT
ejpam-1175	448	52	in	in	ADP
ejpam-1175	448	53	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	448	54	d	d	PROPN
ejpam-1175	448	55	)	)	PUNCT
ejpam-1175	448	56	,	,	PUNCT
ejpam-1175	448	57	(	(	PUNCT
ejpam-1175	448	58	r8	r8	NOUN
ejpam-1175	448	59	)	)	PUNCT
ejpam-1175	448	60			PROPN
ejpam-1175	448	61			PRON
ejpam-1175	448	62			NOUN
ejpam-1175	448	63	ṁ1	ṁ1	PROPN
ejpam-1175	448	64	≥	≥	NOUN
ejpam-1175	448	65	0	0	NUM
ejpam-1175	448	66	,	,	PUNCT
ejpam-1175	448	67	ṁ2	ṁ2	NOUN
ejpam-1175	448	68	≤	≤	NOUN
ejpam-1175	448	69	0	0	PUNCT
ejpam-1175	448	70	in	in	ADP
ejpam-1175	448	71	g̃2	g̃2	PROPN
ejpam-1175	448	72	k1	k1	NOUN
ejpam-1175	448	73	′	′	NUM
ejpam-1175	448	74	≥	≥	NOUN
ejpam-1175	448	75	0	0	NUM
ejpam-1175	448	76	,	,	PUNCT
ejpam-1175	448	77	k2	k2	ADJ
ejpam-1175	448	78	′	′	NOUN
ejpam-1175	448	79	≤	≤	NOUN
ejpam-1175	448	80	0	0	NUM
ejpam-1175	448	81	in	in	ADP
ejpam-1175	448	82	g̃′2	g̃′2	PROPN
ejpam-1175	448	83	ṁ1	ṁ1	PROPN
ejpam-1175	448	84	≤	≤	NOUN
ejpam-1175	448	85	0	0	NUM
ejpam-1175	448	86	,	,	PUNCT
ejpam-1175	448	87	ṁ2	ṁ2	NOUN
ejpam-1175	448	88	≥	≥	NOUN
ejpam-1175	448	89	0	0	NUM
ejpam-1175	448	90	in	in	ADP
ejpam-1175	448	91	g̃′′2	g̃′′2	PROPN
ejpam-1175	448	92	k1	k1	NOUN
ejpam-1175	448	93	′	′	NUM
ejpam-1175	448	94	≤	≤	NUM
ejpam-1175	448	95	0	0	NUM
ejpam-1175	448	96	,	,	PUNCT
ejpam-1175	448	97	k2	k2	ADJ
ejpam-1175	448	98	′	′	NUM
ejpam-1175	448	99	≥	≥	NOUN
ejpam-1175	448	100	0	0	NUM
ejpam-1175	448	101	in	in	ADP
ejpam-1175	448	102	g̃′′′2	g̃′′′2	PROPN
ejpam-1175	448	103	.	.	PUNCT
ejpam-1175	449	1	let	let	VERB
ejpam-1175	449	2	(	(	PUNCT
ejpam-1175	449	3	)	)	PUNCT
ejpam-1175	449	4	x	x	SYM
ejpam-1175	449	5	=	=	SYM
ejpam-1175	449	6	∂	∂	NUM
ejpam-1175	449	7	(	(	PUNCT
ejpam-1175	449	8	)	)	PUNCT
ejpam-1175	449	9	/∂	/∂	PUNCT
ejpam-1175	450	1	x	x	X
ejpam-1175	450	2	,	,	PUNCT
ejpam-1175	450	3	(	(	PUNCT
ejpam-1175	450	4	)	)	PUNCT
ejpam-1175	450	5	·	·	PUNCT
ejpam-1175	451	1	=	=	NOUN
ejpam-1175	451	2	d()/d	d()/d	VERB
ejpam-1175	451	3	x	x	SYM
ejpam-1175	451	4	,	,	PUNCT
ejpam-1175	451	5	(	(	PUNCT
ejpam-1175	451	6	)	)	PUNCT
ejpam-1175	451	7	y	y	PROPN
ejpam-1175	451	8	=	=	SYM
ejpam-1175	451	9	∂	∂	NUM
ejpam-1175	451	10	(	(	PUNCT
ejpam-1175	451	11	)	)	PUNCT
ejpam-1175	451	12	/∂	/∂	PUNCT
ejpam-1175	452	1	y	y	NOUN
ejpam-1175	452	2	,	,	PUNCT
ejpam-1175	452	3	(	(	PUNCT
ejpam-1175	452	4	)	)	PUNCT
ejpam-1175	452	5	′	′	NUM
ejpam-1175	453	1	=	=	PUNCT
ejpam-1175	453	2	d()/d	d()/d	VERB
ejpam-1175	453	3	y	y	PROPN
ejpam-1175	453	4	,	,	PUNCT
ejpam-1175	453	5	where	where	SCONJ
ejpam-1175	453	6	f	f	PROPN
ejpam-1175	453	7	=	=	SYM
ejpam-1175	453	8	f	f	PROPN
ejpam-1175	453	9	(	(	PUNCT
ejpam-1175	453	10	x	x	INTJ
ejpam-1175	453	11	,	,	PUNCT
ejpam-1175	453	12	y	y	PROPN
ejpam-1175	453	13	)	)	PUNCT
ejpam-1175	453	14	is	be	AUX
ejpam-1175	453	15	continuous	continuous	ADJ
ejpam-1175	453	16	in	in	ADP
ejpam-1175	453	17	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	453	18	d	d	PROPN
ejpam-1175	453	19	)	)	PUNCT
ejpam-1175	453	20	,	,	PUNCT
ejpam-1175	453	21	r	r	NOUN
ejpam-1175	453	22	=	=	SYM
ejpam-1175	453	23	r(x	r(x	PROPN
ejpam-1175	453	24	,	,	PUNCT
ejpam-1175	453	25	y	y	PROPN
ejpam-1175	453	26	)	)	PUNCT
ejpam-1175	453	27	is	be	AUX
ejpam-1175	453	28	once	once	ADV
ejpam-1175	453	29	-	-	PUNCT
ejpam-1175	453	30	continuously	continuously	ADV
ejpam-1175	453	31	differentiable	differentiable	ADJ
ejpam-1175	453	32	in	in	ADP
ejpam-1175	453	33	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	453	34	d	d	PROPN
ejpam-1175	453	35	)	)	PUNCT
ejpam-1175	453	36	,	,	PUNCT
ejpam-1175	453	37	ki	ki	PROPN
ejpam-1175	453	38	=	=	PUNCT
ejpam-1175	453	39	ki(y	ki(y	PROPN
ejpam-1175	453	40	)	)	PUNCT
ejpam-1175	453	41	(	(	PUNCT
ejpam-1175	453	42	i	i	NOUN
ejpam-1175	453	43	=	=	SYM
ejpam-1175	453	44	1,2	1,2	NUM
ejpam-1175	453	45	)	)	PUNCT
ejpam-1175	453	46	are	be	AUX
ejpam-1175	453	47	once	once	ADV
ejpam-1175	453	48	-	-	PUNCT
ejpam-1175	453	49	continuously	continuously	ADV
ejpam-1175	453	50	differentiable	differentiable	ADJ
ejpam-1175	453	51	for	for	ADP
ejpam-1175	453	52	y	y	PROPN
ejpam-1175	453	53	∈	∈	PROPN
ejpam-1175	454	1	[	[	X
ejpam-1175	454	2	−k1	−k1	NOUN
ejpam-1175	454	3	,	,	PUNCT
ejpam-1175	454	4	k2	k2	PROPN
ejpam-1175	454	5	]	]	PUNCT
ejpam-1175	454	6	with	with	ADP
ejpam-1175	454	7	−k1	−k1	NOUN
ejpam-1175	454	8	=	=	PUNCT
ejpam-1175	454	9	in	in	ADP
ejpam-1175	454	10	f	f	PROPN
ejpam-1175	454	11	{	{	PUNCT
ejpam-1175	454	12	y	y	NOUN
ejpam-1175	454	13	:	:	PUNCT
ejpam-1175	454	14	(	(	PUNCT
ejpam-1175	454	15	x	x	X
ejpam-1175	454	16	,	,	PUNCT
ejpam-1175	454	17	y	y	PROPN
ejpam-1175	454	18	)	)	PUNCT
ejpam-1175	454	19	∈	∈	PROPN
ejpam-1175	455	1	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	455	2	d	d	PROPN
ejpam-1175	455	3	)	)	PUNCT
ejpam-1175	455	4	}	}	PUNCT
ejpam-1175	455	5	and	and	CCONJ
ejpam-1175	455	6	k2	k2	PROPN
ejpam-1175	455	7	=	=	PROPN
ejpam-1175	455	8	sup{y	sup{y	PROPN
ejpam-1175	455	9	:	:	PUNCT
ejpam-1175	455	10	(	(	PUNCT
ejpam-1175	455	11	x	x	X
ejpam-1175	455	12	,	,	PUNCT
ejpam-1175	455	13	y	y	PROPN
ejpam-1175	455	14	)	)	PUNCT
ejpam-1175	455	15	∈	∈	PROPN
ejpam-1175	455	16	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	455	17	d	d	PROPN
ejpam-1175	455	18	)	)	PUNCT
ejpam-1175	455	19	}	}	PUNCT
ejpam-1175	455	20	,	,	PUNCT
ejpam-1175	455	21	and	and	CCONJ
ejpam-1175	455	22	mi	mi	PROPN
ejpam-1175	455	23	=	=	SYM
ejpam-1175	455	24	mi(x	mi(x	PROPN
ejpam-1175	455	25	)	)	PUNCT
ejpam-1175	456	1	(	(	PUNCT
ejpam-1175	456	2	i	i	NOUN
ejpam-1175	456	3	=	=	SYM
ejpam-1175	456	4	1,2	1,2	NUM
ejpam-1175	456	5	)	)	PUNCT
ejpam-1175	456	6	are	be	AUX
ejpam-1175	456	7	once	once	ADV
ejpam-1175	456	8	-	-	PUNCT
ejpam-1175	456	9	continuously	continuously	ADV
ejpam-1175	456	10	differentiable	differentiable	VERB
ejpam-1175	456	11	for	for	ADP
ejpam-1175	456	12	x	x	SYM
ejpam-1175	456	13	∈	∈	PROPN
ejpam-1175	456	14	[	[	X
ejpam-1175	456	15	−m1	−m1	PROPN
ejpam-1175	456	16	,	,	PUNCT
ejpam-1175	456	17	m2	m2	PROPN
ejpam-1175	456	18	]	]	PUNCT
ejpam-1175	456	19	with	with	ADP
ejpam-1175	456	20	−m1	−m1	PROPN
ejpam-1175	456	21	=	=	PUNCT
ejpam-1175	456	22	in	in	ADP
ejpam-1175	456	23	f	f	PROPN
ejpam-1175	456	24	{	{	PUNCT
ejpam-1175	456	25	x	x	X
ejpam-1175	456	26	:	:	PUNCT
ejpam-1175	456	27	(	(	PUNCT
ejpam-1175	456	28	x	x	X
ejpam-1175	456	29	,	,	PUNCT
ejpam-1175	456	30	y	y	PROPN
ejpam-1175	456	31	)	)	PUNCT
ejpam-1175	456	32	∈	∈	PROPN
ejpam-1175	456	33	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	456	34	d	d	PROPN
ejpam-1175	456	35	)	)	PUNCT
ejpam-1175	456	36	}	}	PUNCT
ejpam-1175	456	37	and	and	CCONJ
ejpam-1175	456	38	m2	m2	PROPN
ejpam-1175	456	39	=	=	PROPN
ejpam-1175	456	40	sup{x	sup{x	NOUN
ejpam-1175	456	41	:	:	PUNCT
ejpam-1175	456	42	(	(	PUNCT
ejpam-1175	456	43	x	x	X
ejpam-1175	456	44	,	,	PUNCT
ejpam-1175	456	45	y	y	PROPN
ejpam-1175	456	46	)	)	PUNCT
ejpam-1175	456	47	∈	∈	PROPN
ejpam-1175	456	48	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	456	49	d	d	PROPN
ejpam-1175	456	50	)	)	PUNCT
ejpam-1175	456	51	}	}	PUNCT
ejpam-1175	456	52	.	.	PUNCT
ejpam-1175	457	1	then	then	ADV
ejpam-1175	457	2	the	the	DET
ejpam-1175	457	3	problem	problem	NOUN
ejpam-1175	457	4	(	(	PUNCT
ejpam-1175	457	5	ef	ef	X
ejpam-1175	457	6	)	)	PUNCT
ejpam-1175	457	7	has	have	VERB
ejpam-1175	457	8	at	at	ADP
ejpam-1175	457	9	most	most	ADV
ejpam-1175	457	10	one	one	NUM
ejpam-1175	457	11	quasi	quasi	ADJ
ejpam-1175	457	12	-	-	ADJ
ejpam-1175	457	13	regular	regular	ADJ
ejpam-1175	457	14	solution	solution	NOUN
ejpam-1175	457	15	in	in	ADP
ejpam-1175	457	16	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	457	17	d	d	PROPN
ejpam-1175	457	18	)	)	PUNCT
ejpam-1175	457	19	.	.	PUNCT
ejpam-1175	458	1	proof	proof	NOUN
ejpam-1175	458	2	.	.	PUNCT
ejpam-1175	459	1	we	we	PRON
ejpam-1175	459	2	apply	apply	VERB
ejpam-1175	459	3	the	the	DET
ejpam-1175	459	4	well	well	ADV
ejpam-1175	459	5	-	-	PUNCT
ejpam-1175	459	6	known	know	VERB
ejpam-1175	459	7	energy	energy	NOUN
ejpam-1175	459	8	integral	integral	ADJ
ejpam-1175	459	9	method	method	NOUN
ejpam-1175	459	10	,	,	PUNCT
ejpam-1175	459	11	and	and	CCONJ
ejpam-1175	459	12	use	use	VERB
ejpam-1175	459	13	the	the	DET
ejpam-1175	459	14	above	above	ADJ
ejpam-1175	459	15	mixed	mixed	ADJ
ejpam-1175	459	16	type	type	NOUN
ejpam-1175	459	17	equation	equation	NOUN
ejpam-1175	459	18	(	(	PUNCT
ejpam-1175	459	19	1	1	NUM
ejpam-1175	459	20	)	)	PUNCT
ejpam-1175	459	21	as	as	ADV
ejpam-1175	459	22	well	well	ADV
ejpam-1175	459	23	as	as	ADP
ejpam-1175	459	24	the	the	DET
ejpam-1175	459	25	boundary	boundary	ADJ
ejpam-1175	459	26	condition	condition	NOUN
ejpam-1175	459	27	(	(	PUNCT
ejpam-1175	459	28	11	11	NUM
ejpam-1175	459	29	)	)	PUNCT
ejpam-1175	459	30	.	.	PUNCT
ejpam-1175	460	1	first	first	ADV
ejpam-1175	460	2	,	,	PUNCT
ejpam-1175	460	3	we	we	PRON
ejpam-1175	460	4	assume	assume	VERB
ejpam-1175	460	5	two	two	NUM
ejpam-1175	460	6	quasi	quasi	ADJ
ejpam-1175	460	7	-	-	ADJ
ejpam-1175	460	8	regular	regular	ADJ
ejpam-1175	460	9	solutions	solution	NOUN
ejpam-1175	460	10	u1,u2	u1,u2	PROPN
ejpam-1175	460	11	of	of	ADP
ejpam-1175	460	12	the	the	DET
ejpam-1175	460	13	problem	problem	NOUN
ejpam-1175	460	14	(	(	PUNCT
ejpam-1175	460	15	ef	ef	PROPN
ejpam-1175	460	16	)	)	PUNCT
ejpam-1175	460	17	.	.	PUNCT
ejpam-1175	461	1	then	then	ADV
ejpam-1175	461	2	we	we	PRON
ejpam-1175	461	3	claim	claim	VERB
ejpam-1175	461	4	that	that	SCONJ
ejpam-1175	461	5	u=	u=	ADJ
ejpam-1175	461	6	u1	u1	NOUN
ejpam-1175	461	7	−	−	PROPN
ejpam-1175	461	8	u2	u2	PROPN
ejpam-1175	461	9	=	=	SYM
ejpam-1175	461	10	0	0	NUM
ejpam-1175	461	11	holds	hold	VERB
ejpam-1175	461	12	in	in	ADP
ejpam-1175	461	13	the	the	DET
ejpam-1175	461	14	domain	domain	NOUN
ejpam-1175	461	15	j.	j.	PROPN
ejpam-1175	461	16	rassias	rassias	PROPN
ejpam-1175	461	17	/	/	SYM
ejpam-1175	461	18	eur	eur	PROPN
ejpam-1175	461	19	.	.	PUNCT
ejpam-1175	462	1	j.	j.	PROPN
ejpam-1175	462	2	pure	pure	PROPN
ejpam-1175	462	3	appl	appl	PROPN
ejpam-1175	462	4	.	.	PROPN
ejpam-1175	462	5	math	math	PROPN
ejpam-1175	462	6	,	,	PUNCT
ejpam-1175	462	7	4	4	NUM
ejpam-1175	462	8	(	(	PUNCT
ejpam-1175	462	9	2011	2011	NUM
ejpam-1175	462	10	)	)	PUNCT
ejpam-1175	462	11	,	,	PUNCT
ejpam-1175	462	12	186	186	NUM
ejpam-1175	462	13	-	-	SYM
ejpam-1175	462	14	208	208	NUM
ejpam-1175	462	15	204	204	NUM
ejpam-1175	462	16	d̃(⊂	d̃(⊂	NOUN
ejpam-1175	462	17	d	d	NOUN
ejpam-1175	462	18	)	)	PUNCT
ejpam-1175	462	19	.	.	PUNCT
ejpam-1175	463	1	in	in	ADP
ejpam-1175	463	2	fact	fact	NOUN
ejpam-1175	463	3	,	,	PUNCT
ejpam-1175	463	4	we	we	PRON
ejpam-1175	463	5	investigate	investigate	VERB
ejpam-1175	463	6	0	0	NUM
ejpam-1175	464	1	=	=	SYM
ejpam-1175	464	2	j̃	j̃	PROPN
ejpam-1175	464	3	=	=	PUNCT
ejpam-1175	464	4	2	2	NUM
ejpam-1175	464	5	<	<	X
ejpam-1175	464	6	l̃u	l̃u	PROPN
ejpam-1175	464	7	,	,	PUNCT
ejpam-1175	464	8	lu	lu	PROPN
ejpam-1175	464	9	>	>	NOUN
ejpam-1175	464	10	0=	0=	PUNCT
ejpam-1175	465	1	∫∫	∫∫	ADV
ejpam-1175	465	2	d̃	d̃	PROPN
ejpam-1175	465	3	2l̃ulud	2l̃ulud	NUM
ejpam-1175	465	4	xd	xd	INTJ
ejpam-1175	465	5	y	y	PROPN
ejpam-1175	465	6	where	where	SCONJ
ejpam-1175	465	7	l̃u	l̃u	ADJ
ejpam-1175	465	8	=	=	PUNCT
ejpam-1175	465	9	b̃(x)ux	b̃(x)ux	X
ejpam-1175	465	10	+	+	NUM
ejpam-1175	465	11	c̃(y)uy	c̃(y)uy	NOUN
ejpam-1175	465	12	,	,	PUNCT
ejpam-1175	465	13	and	and	CCONJ
ejpam-1175	465	14	lu	lu	NOUN
ejpam-1175	465	15	=	=	NOUN
ejpam-1175	465	16	l(u1	l(u1	NOUN
ejpam-1175	465	17	−	−	PROPN
ejpam-1175	465	18	u2	u2	PROPN
ejpam-1175	465	19	)	)	PUNCT
ejpam-1175	465	20	=	=	PUNCT
ejpam-1175	465	21	lu1	lu1	VERB
ejpam-1175	465	22	−	−	NOUN
ejpam-1175	465	23	lu2	lu2	NOUN
ejpam-1175	465	24	=	=	PUNCT
ejpam-1175	465	25	f	f	PROPN
ejpam-1175	466	1	−	−	PROPN
ejpam-1175	466	2	f	f	NOUN
ejpam-1175	466	3	=	=	NOUN
ejpam-1175	466	4	0	0	NUM
ejpam-1175	466	5	in	in	ADP
ejpam-1175	466	6	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	466	7	d	d	PROPN
ejpam-1175	466	8	)	)	PUNCT
ejpam-1175	466	9	with	with	ADP
ejpam-1175	466	10	choices	choice	NOUN
ejpam-1175	466	11	b̃	b̃	PROPN
ejpam-1175	466	12	=	=	SYM
ejpam-1175	466	13	b̃(x	b̃(x	PROPN
ejpam-1175	466	14	)	)	PUNCT
ejpam-1175	466	15	=	=	PUNCT
ejpam-1175	467	1			PROPN
ejpam-1175	467	2			ADJ
ejpam-1175	467	3			NOUN
ejpam-1175	467	4	x	x	PUNCT
ejpam-1175	467	5	in	in	ADP
ejpam-1175	467	6	g1	g1	PROPN
ejpam-1175	467	7	∪	∪	VERB
ejpam-1175	467	8	g1	g1	NOUN
ejpam-1175	467	9	′	′	NUM
ejpam-1175	467	10	∪	∪	X
ejpam-1175	467	11	g̃2	g̃2	NOUN
ejpam-1175	467	12	x	x	SYM
ejpam-1175	467	13	+	+	ADP
ejpam-1175	467	14	1	1	NUM
ejpam-1175	467	15	in	in	ADP
ejpam-1175	467	16	g1	g1	NOUN
ejpam-1175	467	17	′′	′′	PROPN
ejpam-1175	467	18	∪	∪	NOUN
ejpam-1175	467	19	g1	g1	NOUN
ejpam-1175	467	20	′′′	′′′	ADP
ejpam-1175	467	21	∪	∪	ADJ
ejpam-1175	467	22	g̃′′2	g̃′′2	NOUN
ejpam-1175	467	23	0	0	NUM
ejpam-1175	467	24	in	in	ADP
ejpam-1175	467	25	g̃′2	g̃′2	PROPN
ejpam-1175	467	26	∪	∪	NOUN
ejpam-1175	467	27	g̃′′′2	g̃′′′2	NOUN
ejpam-1175	467	28	,	,	PUNCT
ejpam-1175	467	29	and	and	CCONJ
ejpam-1175	467	30	c̃	c̃	PROPN
ejpam-1175	467	31	=	=	SYM
ejpam-1175	467	32	c̃(y	c̃(y	PROPN
ejpam-1175	467	33	)	)	PUNCT
ejpam-1175	467	34	=	=	PUNCT
ejpam-1175	467	35			PROPN
ejpam-1175	467	36			PRON
ejpam-1175	467	37			ADJ
ejpam-1175	467	38	y	y	PROPN
ejpam-1175	467	39	in	in	ADP
ejpam-1175	467	40	g1	g1	PROPN
ejpam-1175	467	41	′	′	PUNCT
ejpam-1175	467	42	∪	∪	ADJ
ejpam-1175	467	43	g1	g1	NOUN
ejpam-1175	467	44	′′′	′′′	VERB
ejpam-1175	467	45	∪	∪	VERB
ejpam-1175	467	46	g̃′′′2	g̃′′′2	PROPN
ejpam-1175	467	47	y	y	PROPN
ejpam-1175	467	48	−	−	PROPN
ejpam-1175	467	49	1	1	NUM
ejpam-1175	467	50	in	in	ADP
ejpam-1175	467	51	g1	g1	NOUN
ejpam-1175	467	52	∪	∪	VERB
ejpam-1175	467	53	g1	g1	NOUN
ejpam-1175	467	54	′′	′′	PROPN
ejpam-1175	467	55	∪	∪	VERB
ejpam-1175	467	56	g̃′2	g̃′2	X
ejpam-1175	467	57	0	0	NUM
ejpam-1175	467	58	in	in	ADP
ejpam-1175	467	59	g̃2	g̃2	PROPN
ejpam-1175	467	60	∪	∪	NOUN
ejpam-1175	467	61	g̃′′2	g̃′′2	NOUN
ejpam-1175	467	62	.	.	PUNCT
ejpam-1175	468	1	the	the	DET
ejpam-1175	468	2	rest	rest	NOUN
ejpam-1175	468	3	of	of	ADP
ejpam-1175	468	4	the	the	DET
ejpam-1175	468	5	proof	proof	NOUN
ejpam-1175	468	6	is	be	AUX
ejpam-1175	468	7	similar	similar	ADJ
ejpam-1175	468	8	to	to	ADP
ejpam-1175	468	9	the	the	DET
ejpam-1175	468	10	proof	proof	NOUN
ejpam-1175	468	11	of	of	ADP
ejpam-1175	468	12	the	the	DET
ejpam-1175	468	13	uniqueness	uniqueness	NOUN
ejpam-1175	468	14	theorem	theorem	VERB
ejpam-1175	468	15	1	1	NUM
ejpam-1175	468	16	(	(	PUNCT
ejpam-1175	468	17	for	for	ADP
ejpam-1175	468	18	the	the	DET
ejpam-1175	468	19	exterior	exterior	ADJ
ejpam-1175	468	20	tricomi	tricomi	NOUN
ejpam-1175	468	21	problem	problem	NOUN
ejpam-1175	468	22	)	)	PUNCT
ejpam-1175	468	23	,	,	PUNCT
ejpam-1175	468	24	except	except	SCONJ
ejpam-1175	468	25	clearly	clearly	ADV
ejpam-1175	468	26	proving	prove	VERB
ejpam-1175	468	27	in	in	ADP
ejpam-1175	468	28	additional	additional	ADJ
ejpam-1175	468	29	that	that	SCONJ
ejpam-1175	468	30	the	the	DET
ejpam-1175	468	31	following	follow	VERB
ejpam-1175	468	32	condition	condition	NOUN
ejpam-1175	468	33	holds	hold	VERB
ejpam-1175	468	34	on	on	ADP
ejpam-1175	468	35	the	the	DET
ejpam-1175	468	36	non	non	ADJ
ejpam-1175	468	37	-	-	ADJ
ejpam-1175	468	38	characteristic	characteristic	ADJ
ejpam-1175	468	39	hyperbolic	hyperbolic	ADJ
ejpam-1175	468	40	exterior	exterior	NOUN
ejpam-1175	468	41	boundary	boundary	ADJ
ejpam-1175	468	42	e	e	NOUN
ejpam-1175	468	43	x	x	NOUN
ejpam-1175	468	44	thn(d̃	thn(d̃	NOUN
ejpam-1175	468	45	)	)	PUNCT
ejpam-1175	468	46	=	=	SYM
ejpam-1175	469	1	(	(	PUNCT
ejpam-1175	469	2	γ̃2	γ̃2	PROPN
ejpam-1175	469	3	∪	∪	ADP
ejpam-1175	469	4	γ̃	γ̃	PROPN
ejpam-1175	469	5	′	′	NUM
ejpam-1175	469	6	2)∪	2)∪	NOUN
ejpam-1175	469	7	(	(	PUNCT
ejpam-1175	469	8	γ̃2	γ̃2	PROPN
ejpam-1175	469	9	∪	∪	ADP
ejpam-1175	469	10	γ̃	γ̃	PROPN
ejpam-1175	469	11	′	′	NUM
ejpam-1175	469	12	2)∪	2)∪	NOUN
ejpam-1175	469	13	(	(	PUNCT
ejpam-1175	469	14	∆̃1	∆̃1	PROPN
ejpam-1175	469	15	∪	∪	ADJ
ejpam-1175	469	16	∆̃	∆̃	NOUN
ejpam-1175	469	17	′	′	NUM
ejpam-1175	469	18	1)∪	1)∪	NUM
ejpam-1175	469	19	(	(	PUNCT
ejpam-1175	469	20	δ̃1	δ̃1	VERB
ejpam-1175	469	21	∪	∪	VERB
ejpam-1175	469	22	δ̃	δ̃	PROPN
ejpam-1175	469	23	′	′	NUM
ejpam-1175	469	24	1	1	NUM
ejpam-1175	469	25	)	)	PUNCT
ejpam-1175	469	26	:	:	PUNCT
ejpam-1175	469	27	0	0	NUM
ejpam-1175	469	28	<	<	X
ejpam-1175	469	29	b̃v1	b̃v1	X
ejpam-1175	469	30	+	+	CCONJ
ejpam-1175	469	31	c̃	c̃	PROPN
ejpam-1175	469	32	v2	v2	PROPN
ejpam-1175	469	33	=	=	PUNCT
ejpam-1175	469	34			NOUN
ejpam-1175	469	35			ADV
ejpam-1175	469	36			PRON
ejpam-1175	469	37			ADJ
ejpam-1175	469	38			NOUN
ejpam-1175	469	39	x	x	X
ejpam-1175	469	40	v1	v1	NOUN
ejpam-1175	469	41	on	on	ADP
ejpam-1175	469	42	γ̃2	γ̃2	PROPN
ejpam-1175	469	43	∪	∪	ADJ
ejpam-1175	469	44	γ̃	γ̃	PROPN
ejpam-1175	469	45	′	′	NUM
ejpam-1175	469	46	2	2	NUM
ejpam-1175	469	47	(	(	PUNCT
ejpam-1175	469	48	y	y	PROPN
ejpam-1175	469	49	−	−	PROPN
ejpam-1175	469	50	1)v2	1)v2	PROPN
ejpam-1175	469	51	on	on	ADP
ejpam-1175	469	52	γ̃2	γ̃2	PROPN
ejpam-1175	469	53	∪	∪	ADJ
ejpam-1175	469	54	γ̃	γ̃	PROPN
ejpam-1175	469	55	′	′	NUM
ejpam-1175	469	56	2	2	NUM
ejpam-1175	469	57	(	(	PUNCT
ejpam-1175	469	58	x	x	SYM
ejpam-1175	469	59	+	+	NUM
ejpam-1175	469	60	1)v1	1)v1	NUM
ejpam-1175	469	61	on	on	ADP
ejpam-1175	469	62	∆̃1	∆̃1	PROPN
ejpam-1175	469	63	∪	∪	ADJ
ejpam-1175	469	64	∆̃	∆̃	NOUN
ejpam-1175	469	65	′	′	NOUN
ejpam-1175	469	66	1	1	NUM
ejpam-1175	469	67	yv2	yv2	NOUN
ejpam-1175	469	68	on	on	ADP
ejpam-1175	469	69	δ̃1	δ̃1	PROPN
ejpam-1175	469	70	∪	∪	ADJ
ejpam-1175	469	71	δ̃	δ̃	PROPN
ejpam-1175	469	72	′	′	NUM
ejpam-1175	469	73	1	1	NUM
ejpam-1175	469	74	.	.	PUNCT
ejpam-1175	470	1	uniqueness	uniqueness	PROPN
ejpam-1175	470	2	theorem	theorem	VERB
ejpam-1175	470	3	3	3	X
ejpam-1175	470	4	.	.	PUNCT
ejpam-1175	470	5	consider	consider	VERB
ejpam-1175	470	6	the	the	DET
ejpam-1175	470	7	quaterelliptic	quaterelliptic	ADJ
ejpam-1175	470	8	quaterhyperbolic	quaterhyperbolic	ADJ
ejpam-1175	470	9	equation	equation	NOUN
ejpam-1175	470	10	(	(	PUNCT
ejpam-1175	470	11	1	1	NUM
ejpam-1175	470	12	)	)	PUNCT
ejpam-1175	470	13	with	with	ADP
ejpam-1175	470	14	eight	eight	NUM
ejpam-1175	470	15	parabolic	parabolic	ADJ
ejpam-1175	470	16	lines	line	NOUN
ejpam-1175	470	17	and	and	CCONJ
ejpam-1175	470	18	the	the	DET
ejpam-1175	470	19	boundary	boundary	ADJ
ejpam-1175	470	20	condition	condition	NOUN
ejpam-1175	470	21	(	(	PUNCT
ejpam-1175	470	22	11	11	NUM
ejpam-1175	470	23	)	)	PUNCT
ejpam-1175	470	24	.	.	PUNCT
ejpam-1175	471	1	assume	assume	VERB
ejpam-1175	471	2	the	the	DET
ejpam-1175	471	3	above	above	ADV
ejpam-1175	471	4	mixed	mixed	ADJ
ejpam-1175	471	5	doubly	doubly	ADV
ejpam-1175	471	6	connected	connect	VERB
ejpam-1175	471	7	domain	domain	NOUN
ejpam-1175	471	8	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	471	9	d	d	PROPN
ejpam-1175	471	10	)	)	PUNCT
ejpam-1175	471	11	and	and	CCONJ
ejpam-1175	471	12	the	the	DET
ejpam-1175	471	13	following	follow	VERB
ejpam-1175	471	14	conditions	condition	NOUN
ejpam-1175	471	15	:	:	PUNCT
ejpam-1175	471	16	(	(	PUNCT
ejpam-1175	471	17	r1	r1	NOUN
ejpam-1175	471	18	)	)	PUNCT
ejpam-1175	471	19	r	r	NOUN
ejpam-1175	471	20	≤	≤	NUM
ejpam-1175	471	21	0	0	NUM
ejpam-1175	471	22	on	on	ADP
ejpam-1175	471	23	the	the	DET
ejpam-1175	471	24	interior	interior	ADJ
ejpam-1175	471	25	boundary	boundary	NOUN
ejpam-1175	471	26	int(d̃)(=	int(d̃)(=	PROPN
ejpam-1175	471	27	int(d	int(d	PROPN
ejpam-1175	471	28	)	)	PUNCT
ejpam-1175	471	29	)	)	PUNCT
ejpam-1175	471	30	,	,	PUNCT
ejpam-1175	471	31	(	(	PUNCT
ejpam-1175	471	32	r2	r2	PROPN
ejpam-1175	471	33	)	)	PUNCT
ejpam-1175	471	34			PROPN
ejpam-1175	471	35			PROPN
ejpam-1175	471	36			PROPN
ejpam-1175	471	37	xd	xd	INTJ
ejpam-1175	471	38	y	y	PROPN
ejpam-1175	471	39	−	−	PROPN
ejpam-1175	472	1	(	(	PUNCT
ejpam-1175	472	2	y	y	PROPN
ejpam-1175	472	3	−	−	PROPN
ejpam-1175	472	4	1)d	1)d	NUM
ejpam-1175	472	5	x	x	SYM
ejpam-1175	472	6	≥	≥	NOUN
ejpam-1175	472	7	0	0	NUM
ejpam-1175	472	8	on	on	ADP
ejpam-1175	472	9	γ0	γ0	NOUN
ejpam-1175	472	10	xd	xd	INTJ
ejpam-1175	472	11	y	y	PROPN
ejpam-1175	472	12	−	−	PROPN
ejpam-1175	472	13	yd	yd	PROPN
ejpam-1175	472	14	x	x	PUNCT
ejpam-1175	472	15	≥	≥	NOUN
ejpam-1175	472	16	0	0	NUM
ejpam-1175	472	17	on	on	ADP
ejpam-1175	472	18	γ0	γ0	NOUN
ejpam-1175	472	19	′	′	NUM
ejpam-1175	473	1	(	(	PUNCT
ejpam-1175	473	2	x	x	X
ejpam-1175	473	3	+	+	NUM
ejpam-1175	473	4	1)d	1)d	NUM
ejpam-1175	473	5	y	y	NOUN
ejpam-1175	473	6	−	−	PROPN
ejpam-1175	473	7	(	(	PUNCT
ejpam-1175	473	8	y	y	PROPN
ejpam-1175	473	9	−	−	PROPN
ejpam-1175	473	10	1)d	1)d	NUM
ejpam-1175	473	11	x	x	SYM
ejpam-1175	473	12	≥	≥	NOUN
ejpam-1175	473	13	0	0	NUM
ejpam-1175	473	14	on	on	ADP
ejpam-1175	473	15	γ0	γ0	PROPN
ejpam-1175	473	16	′′	′′	PROPN
ejpam-1175	473	17	(	(	PUNCT
ejpam-1175	473	18	x	x	PROPN
ejpam-1175	473	19	+	+	NUM
ejpam-1175	473	20	1)d	1)d	NUM
ejpam-1175	473	21	y	y	NOUN
ejpam-1175	473	22	−	−	PROPN
ejpam-1175	473	23	yd	yd	NOUN
ejpam-1175	473	24	x	x	SYM
ejpam-1175	473	25	≥	≥	NOUN
ejpam-1175	473	26	0	0	NUM
ejpam-1175	473	27	on	on	ADP
ejpam-1175	473	28	γ0	γ0	PROPN
ejpam-1175	473	29	′′′	′′′	PROPN
ejpam-1175	473	30	,	,	PUNCT
ejpam-1175	473	31	(	(	PUNCT
ejpam-1175	473	32	r3	r3	NOUN
ejpam-1175	473	33	)	)	PUNCT
ejpam-1175	473	34			PROPN
ejpam-1175	473	35			PROPN
ejpam-1175	473	36			PROPN
ejpam-1175	473	37			PROPN
ejpam-1175	473	38			PROPN
ejpam-1175	473	39			PROPN
ejpam-1175	473	40			PROPN
ejpam-1175	473	41			PROPN
ejpam-1175	473	42			PROPN
ejpam-1175	473	43			NOUN
ejpam-1175	473	44			PROPN
ejpam-1175	473	45			PROPN
ejpam-1175	473	46			PROPN
ejpam-1175	473	47			PROPN
ejpam-1175	473	48			PROPN
ejpam-1175	473	49			PROPN
ejpam-1175	473	50			PROPN
ejpam-1175	473	51			PROPN
ejpam-1175	473	52			NOUN
ejpam-1175	473	53	2r	2r	NUM
ejpam-1175	474	1	+	+	CCONJ
ejpam-1175	474	2	x	x	PUNCT
ejpam-1175	474	3	rx	rx	VERB
ejpam-1175	474	4	+	+	CCONJ
ejpam-1175	474	5	(	(	PUNCT
ejpam-1175	474	6	y	y	PROPN
ejpam-1175	474	7	−	−	PROPN
ejpam-1175	475	1	1)ry	1)ry	PROPN
ejpam-1175	475	2	≤	≤	NOUN
ejpam-1175	475	3	0	0	NUM
ejpam-1175	475	4	in	in	ADP
ejpam-1175	475	5	g1	g1	PROPN
ejpam-1175	475	6	2r	2r	NUM
ejpam-1175	476	1	+	+	CCONJ
ejpam-1175	476	2	x	x	PUNCT
ejpam-1175	476	3	rx	rx	VERB
ejpam-1175	476	4	+	+	CCONJ
ejpam-1175	476	5	yry	yry	VERB
ejpam-1175	476	6	≤	≤	NOUN
ejpam-1175	476	7	0	0	NUM
ejpam-1175	476	8	in	in	ADP
ejpam-1175	476	9	g1	g1	PROPN
ejpam-1175	476	10	′	′	NUM
ejpam-1175	476	11	2r	2r	NUM
ejpam-1175	477	1	+	+	CCONJ
ejpam-1175	477	2	(	(	PUNCT
ejpam-1175	477	3	x	x	SYM
ejpam-1175	477	4	+	+	CCONJ
ejpam-1175	477	5	1)rx	1)rx	NOUN
ejpam-1175	477	6	+	+	CCONJ
ejpam-1175	477	7	(	(	PUNCT
ejpam-1175	477	8	y	y	PROPN
ejpam-1175	477	9	−	−	PROPN
ejpam-1175	477	10	1)ry	1)ry	PROPN
ejpam-1175	477	11	≤	≤	NOUN
ejpam-1175	477	12	0	0	NUM
ejpam-1175	477	13	in	in	ADP
ejpam-1175	477	14	g1	g1	PROPN
ejpam-1175	477	15	′′	′′	PROPN
ejpam-1175	477	16	2r	2r	PRON
ejpam-1175	478	1	+	+	CCONJ
ejpam-1175	478	2	(	(	PUNCT
ejpam-1175	478	3	x	x	SYM
ejpam-1175	478	4	+	+	NUM
ejpam-1175	478	5	1)rx	1)rx	NOUN
ejpam-1175	478	6	+	+	CCONJ
ejpam-1175	478	7	yry	yry	NOUN
ejpam-1175	478	8	≤	≤	NOUN
ejpam-1175	478	9	0	0	NUM
ejpam-1175	478	10	in	in	ADP
ejpam-1175	478	11	g1	g1	PROPN
ejpam-1175	478	12	′′′	′′′	ADP
ejpam-1175	479	1	r	r	NOUN
ejpam-1175	479	2	+	+	NOUN
ejpam-1175	479	3	x	x	PUNCT
ejpam-1175	479	4	rx	rx	VERB
ejpam-1175	479	5	≤	≤	NOUN
ejpam-1175	479	6	0	0	NUM
ejpam-1175	479	7	in	in	ADP
ejpam-1175	479	8	g̃2	g̃2	PROPN
ejpam-1175	479	9	r	r	NOUN
ejpam-1175	480	1	+	+	CCONJ
ejpam-1175	480	2	(	(	PUNCT
ejpam-1175	480	3	y	y	PROPN
ejpam-1175	480	4	−	−	PROPN
ejpam-1175	481	1	1)ry	1)ry	PROPN
ejpam-1175	481	2	≤	≤	NOUN
ejpam-1175	481	3	0	0	NUM
ejpam-1175	481	4	in	in	ADP
ejpam-1175	481	5	g̃′2	g̃′2	PROPN
ejpam-1175	481	6	r	r	NOUN
ejpam-1175	481	7	+	+	CCONJ
ejpam-1175	481	8	(	(	PUNCT
ejpam-1175	481	9	x	x	SYM
ejpam-1175	481	10	+	+	NUM
ejpam-1175	481	11	1)rx	1)rx	NUM
ejpam-1175	481	12	≤	≤	NOUN
ejpam-1175	481	13	0	0	NUM
ejpam-1175	481	14	in	in	ADP
ejpam-1175	481	15	g̃′′2	g̃′′2	NOUN
ejpam-1175	481	16	r	r	NOUN
ejpam-1175	481	17	+	+	CCONJ
ejpam-1175	481	18	yry	yry	VERB
ejpam-1175	481	19	≤	≤	NOUN
ejpam-1175	481	20	0	0	NUM
ejpam-1175	481	21	in	in	ADP
ejpam-1175	481	22	g̃′′′2	g̃′′′2	PROPN
ejpam-1175	481	23	,	,	PUNCT
ejpam-1175	481	24	j.	j.	PROPN
ejpam-1175	481	25	rassias	rassias	PROPN
ejpam-1175	481	26	/	/	SYM
ejpam-1175	481	27	eur	eur	PROPN
ejpam-1175	481	28	.	.	PUNCT
ejpam-1175	482	1	j.	j.	PROPN
ejpam-1175	482	2	pure	pure	PROPN
ejpam-1175	482	3	appl	appl	PROPN
ejpam-1175	482	4	.	.	PROPN
ejpam-1175	482	5	math	math	PROPN
ejpam-1175	482	6	,	,	PUNCT
ejpam-1175	482	7	4	4	NUM
ejpam-1175	482	8	(	(	PUNCT
ejpam-1175	482	9	2011	2011	NUM
ejpam-1175	482	10	)	)	PUNCT
ejpam-1175	482	11	,	,	PUNCT
ejpam-1175	482	12	186	186	NUM
ejpam-1175	482	13	-	-	SYM
ejpam-1175	482	14	208	208	NUM
ejpam-1175	482	15	205	205	NUM
ejpam-1175	482	16	(	(	PUNCT
ejpam-1175	482	17	r4	r4	PROPN
ejpam-1175	482	18	)	)	PUNCT
ejpam-1175	482	19	ki	ki	PROPN
ejpam-1175	482	20	>	>	X
ejpam-1175	482	21	0	0	PROPN
ejpam-1175	482	22	,	,	PUNCT
ejpam-1175	482	23	mi	mi	X
ejpam-1175	482	24	>	>	X
ejpam-1175	482	25	0	0	PUNCT
ejpam-1175	483	1	(	(	PUNCT
ejpam-1175	483	2	i	i	NOUN
ejpam-1175	483	3	=	=	NOUN
ejpam-1175	483	4	1,2	1,2	NUM
ejpam-1175	483	5	)	)	PUNCT
ejpam-1175	483	6	,	,	PUNCT
ejpam-1175	483	7	in	in	ADP
ejpam-1175	483	8	g1	g1	PROPN
ejpam-1175	483	9	∪	∪	VERB
ejpam-1175	483	10	g1	g1	PROPN
ejpam-1175	483	11	′	′	NUM
ejpam-1175	483	12	∪	∪	ADJ
ejpam-1175	483	13	g1	g1	NOUN
ejpam-1175	483	14	′′	′′	PROPN
ejpam-1175	483	15	∪	∪	ADP
ejpam-1175	483	16	g1	g1	PROPN
ejpam-1175	483	17	′′′	′′′	PROPN
ejpam-1175	483	18	,	,	PUNCT
ejpam-1175	483	19	(	(	PUNCT
ejpam-1175	483	20	r5	r5	PROPN
ejpam-1175	483	21	)	)	PUNCT
ejpam-1175	483	22	¨	¨	NOUN
ejpam-1175	483	23	k1	k1	X
ejpam-1175	483	24	<	<	X
ejpam-1175	483	25	0	0	NUM
ejpam-1175	483	26	,	,	PUNCT
ejpam-1175	483	27	m1	m1	PROPN
ejpam-1175	483	28	>	>	X
ejpam-1175	483	29	0	0	PUNCT
ejpam-1175	484	1	in	in	ADP
ejpam-1175	484	2	g̃2	g̃2	PROPN
ejpam-1175	484	3	∪	∪	NOUN
ejpam-1175	484	4	g̃′′2	g̃′′2	NOUN
ejpam-1175	484	5	k1	k1	X
ejpam-1175	484	6	>	>	X
ejpam-1175	484	7	0	0	PUNCT
ejpam-1175	484	8	,	,	PUNCT
ejpam-1175	484	9	m1	m1	PROPN
ejpam-1175	484	10	<	<	X
ejpam-1175	484	11	0	0	PUNCT
ejpam-1175	484	12	in	in	ADP
ejpam-1175	484	13	g̃′2	g̃′2	PROPN
ejpam-1175	484	14	∪	∪	X
ejpam-1175	484	15	g̃′′′2	g̃′′′2	NOUN
ejpam-1175	484	16	,	,	PUNCT
ejpam-1175	484	17	(	(	PUNCT
ejpam-1175	484	18	r6	r6	NOUN
ejpam-1175	484	19	)	)	PUNCT
ejpam-1175	484	20	b(x)ki(y)ṁ	b(x)ki(y)ṁ	PROPN
ejpam-1175	484	21	j(x)+	j(x)+	NUM
ejpam-1175	484	22	c(y)ki	c(y)ki	PROPN
ejpam-1175	484	23	′(y)m	′(y)m	PROPN
ejpam-1175	484	24	j(x	j(x	PROPN
ejpam-1175	484	25	)	)	PUNCT
ejpam-1175	484	26	>	>	X
ejpam-1175	484	27	0	0	NUM
ejpam-1175	484	28	,	,	PUNCT
ejpam-1175	484	29	(	(	PUNCT
ejpam-1175	484	30	1≤	1≤	NUM
ejpam-1175	484	31	i	i	PROPN
ejpam-1175	484	32	6=	6=	PROPN
ejpam-1175	484	33	j	j	PROPN
ejpam-1175	484	34	≤	≤	ADV
ejpam-1175	484	35	2	2	NUM
ejpam-1175	484	36	)	)	PUNCT
ejpam-1175	484	37	in	in	ADP
ejpam-1175	484	38	g1∪g1	g1∪g1	ADJ
ejpam-1175	484	39	′∪g1	′∪g1	PROPN
ejpam-1175	484	40	′′∪g1	′′∪g1	PROPN
ejpam-1175	484	41	′′′	′′′	PROPN
ejpam-1175	484	42	,	,	PUNCT
ejpam-1175	484	43	where	where	SCONJ
ejpam-1175	484	44	b(x	b(x	NOUN
ejpam-1175	484	45	)	)	PUNCT
ejpam-1175	484	46	=	=	SYM
ejpam-1175	484	47	¨	¨	NOUN
ejpam-1175	484	48	x	x	PUNCT
ejpam-1175	484	49	in	in	ADP
ejpam-1175	484	50	g1	g1	PROPN
ejpam-1175	484	51	∪	∪	VERB
ejpam-1175	484	52	g1	g1	PROPN
ejpam-1175	484	53	′	′	NUM
ejpam-1175	484	54	x	x	PUNCT
ejpam-1175	485	1	+	+	CCONJ
ejpam-1175	485	2	1	1	NUM
ejpam-1175	485	3	in	in	ADP
ejpam-1175	485	4	g1	g1	NOUN
ejpam-1175	485	5	′′	′′	PROPN
ejpam-1175	485	6	∪	∪	NOUN
ejpam-1175	485	7	g1	g1	PROPN
ejpam-1175	485	8	′′′	′′′	ADV
ejpam-1175	485	9	;	;	PUNCT
ejpam-1175	485	10	c(y	c(y	PROPN
ejpam-1175	485	11	)	)	PUNCT
ejpam-1175	486	1	=	=	PUNCT
ejpam-1175	486	2	¨	¨	NOUN
ejpam-1175	486	3	y	y	PROPN
ejpam-1175	486	4	−	−	PROPN
ejpam-1175	486	5	1	1	NUM
ejpam-1175	486	6	in	in	ADP
ejpam-1175	486	7	g1	g1	NOUN
ejpam-1175	486	8	∪	∪	VERB
ejpam-1175	486	9	g1	g1	NOUN
ejpam-1175	486	10	′′	′′	PROPN
ejpam-1175	486	11	y	y	PROPN
ejpam-1175	486	12	in	in	ADP
ejpam-1175	486	13	g1	g1	PROPN
ejpam-1175	486	14	′	′	PUNCT
ejpam-1175	486	15	∪	∪	VERB
ejpam-1175	486	16	g1	g1	PROPN
ejpam-1175	486	17	′′′	′′′	PROPN
ejpam-1175	486	18	.	.	PUNCT
ejpam-1175	487	1	(	(	PUNCT
ejpam-1175	487	2	r7	r7	PROPN
ejpam-1175	487	3	)	)	PUNCT
ejpam-1175	487	4	k2	k2	PROPN
ejpam-1175	487	5	>	>	X
ejpam-1175	487	6	0	0	PROPN
ejpam-1175	487	7	,	,	PUNCT
ejpam-1175	487	8	m2	m2	PROPN
ejpam-1175	487	9	>	>	X
ejpam-1175	487	10	0	0	PUNCT
ejpam-1175	488	1	in	in	ADP
ejpam-1175	488	2	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	488	3	d	d	PROPN
ejpam-1175	488	4	)	)	PUNCT
ejpam-1175	488	5	,	,	PUNCT
ejpam-1175	488	6	(	(	PUNCT
ejpam-1175	488	7	r8	r8	NOUN
ejpam-1175	488	8	)	)	PUNCT
ejpam-1175	488	9	¨	¨	NOUN
ejpam-1175	488	10	mi(x)−	mi(x)−	PROPN
ejpam-1175	488	11	(	(	PUNCT
ejpam-1175	488	12	−1)i	−1)i	X
ejpam-1175	488	13	b̃(x)ṁi(x	b̃(x)ṁi(x	NOUN
ejpam-1175	488	14	)	)	PUNCT
ejpam-1175	488	15	>	>	X
ejpam-1175	488	16	0	0	PUNCT
ejpam-1175	488	17	in	in	ADP
ejpam-1175	488	18	g̃2	g̃2	PROPN
ejpam-1175	488	19	∪	∪	NOUN
ejpam-1175	488	20	g̃′′2	g̃′′2	NOUN
ejpam-1175	488	21	ki(y)−	ki(y)−	X
ejpam-1175	488	22	(	(	PUNCT
ejpam-1175	488	23	−1)i	−1)i	X
ejpam-1175	488	24	c̃(x)ki	c̃(x)ki	NOUN
ejpam-1175	488	25	′(y	′(y	NOUN
ejpam-1175	488	26	)	)	PUNCT
ejpam-1175	488	27	>	>	X
ejpam-1175	488	28	0	0	PUNCT
ejpam-1175	489	1	in	in	ADP
ejpam-1175	489	2	g̃′2	g̃′2	PROPN
ejpam-1175	489	3	∪	∪	X
ejpam-1175	489	4	g̃′′′2	g̃′′′2	NOUN
ejpam-1175	489	5	(	(	PUNCT
ejpam-1175	489	6	i	i	NOUN
ejpam-1175	489	7	∈	∈	PROPN
ejpam-1175	489	8	{	{	PUNCT
ejpam-1175	489	9	1,2	1,2	NUM
ejpam-1175	489	10	}	}	PUNCT
ejpam-1175	489	11	)	)	PUNCT
ejpam-1175	489	12	,	,	PUNCT
ejpam-1175	489	13	where	where	SCONJ
ejpam-1175	489	14	b̃(x	b̃(x	NOUN
ejpam-1175	489	15	)	)	PUNCT
ejpam-1175	489	16	=	=	PUNCT
ejpam-1175	489	17			PROPN
ejpam-1175	489	18			ADJ
ejpam-1175	489	19			NOUN
ejpam-1175	489	20	x	x	PUNCT
ejpam-1175	489	21	in	in	ADP
ejpam-1175	489	22	g̃2	g̃2	PROPN
ejpam-1175	489	23	x	x	PUNCT
ejpam-1175	489	24	+	+	CCONJ
ejpam-1175	489	25	1	1	NUM
ejpam-1175	489	26	in	in	ADP
ejpam-1175	489	27	g̃′′2	g̃′′2	NOUN
ejpam-1175	489	28	0	0	NUM
ejpam-1175	489	29	in	in	ADP
ejpam-1175	489	30	g̃′2	g̃′2	PROPN
ejpam-1175	489	31	∪	∪	X
ejpam-1175	489	32	g̃′′′2	g̃′′′2	NOUN
ejpam-1175	489	33	;	;	PUNCT
ejpam-1175	489	34	c̃(y	c̃(y	PROPN
ejpam-1175	489	35	)	)	PUNCT
ejpam-1175	489	36	=	=	PUNCT
ejpam-1175	489	37			PROPN
ejpam-1175	489	38			VERB
ejpam-1175	489	39			NOUN
ejpam-1175	489	40	y	y	PROPN
ejpam-1175	489	41	−	−	PROPN
ejpam-1175	489	42	1	1	NUM
ejpam-1175	489	43	in	in	ADP
ejpam-1175	489	44	g̃′2	g̃′2	PROPN
ejpam-1175	489	45	y	y	PROPN
ejpam-1175	489	46	in	in	ADP
ejpam-1175	489	47	g̃′′′2	g̃′′′2	PROPN
ejpam-1175	489	48	0	0	PUNCT
ejpam-1175	489	49	in	in	ADP
ejpam-1175	489	50	g̃2	g̃2	PROPN
ejpam-1175	489	51	∪	∪	NOUN
ejpam-1175	489	52	g̃′′2	g̃′′2	NOUN
ejpam-1175	489	53	.	.	PUNCT
ejpam-1175	490	1	let	let	VERB
ejpam-1175	490	2	us	we	PRON
ejpam-1175	490	3	denote	denote	VERB
ejpam-1175	490	4	(	(	PUNCT
ejpam-1175	490	5	)	)	PUNCT
ejpam-1175	490	6	x	x	SYM
ejpam-1175	490	7	=	=	SYM
ejpam-1175	490	8	∂	∂	NUM
ejpam-1175	490	9	(	(	PUNCT
ejpam-1175	490	10	)	)	PUNCT
ejpam-1175	490	11	/∂	/∂	PUNCT
ejpam-1175	491	1	x	x	X
ejpam-1175	491	2	,	,	PUNCT
ejpam-1175	491	3	(	(	PUNCT
ejpam-1175	491	4	)	)	PUNCT
ejpam-1175	491	5	·	·	PUNCT
ejpam-1175	492	1	=	=	NOUN
ejpam-1175	492	2	d()/d	d()/d	VERB
ejpam-1175	492	3	x	x	SYM
ejpam-1175	492	4	,	,	PUNCT
ejpam-1175	492	5	(	(	PUNCT
ejpam-1175	492	6	)	)	PUNCT
ejpam-1175	492	7	y	y	PROPN
ejpam-1175	492	8	=	=	SYM
ejpam-1175	492	9	∂	∂	NUM
ejpam-1175	492	10	(	(	PUNCT
ejpam-1175	492	11	)	)	PUNCT
ejpam-1175	492	12	/∂	/∂	PUNCT
ejpam-1175	493	1	y	y	NOUN
ejpam-1175	493	2	,	,	PUNCT
ejpam-1175	493	3	(	(	PUNCT
ejpam-1175	493	4	)	)	PUNCT
ejpam-1175	493	5	′	′	NUM
ejpam-1175	494	1	=	=	PUNCT
ejpam-1175	494	2	d()/d	d()/d	VERB
ejpam-1175	494	3	y	y	PROPN
ejpam-1175	494	4	,	,	PUNCT
ejpam-1175	494	5	where	where	SCONJ
ejpam-1175	494	6	f	f	PROPN
ejpam-1175	494	7	=	=	SYM
ejpam-1175	494	8	f	f	PROPN
ejpam-1175	494	9	(	(	PUNCT
ejpam-1175	494	10	x	x	INTJ
ejpam-1175	494	11	,	,	PUNCT
ejpam-1175	494	12	y	y	PROPN
ejpam-1175	494	13	)	)	PUNCT
ejpam-1175	494	14	is	be	AUX
ejpam-1175	494	15	continuous	continuous	ADJ
ejpam-1175	494	16	in	in	ADP
ejpam-1175	494	17	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	494	18	d	d	PROPN
ejpam-1175	494	19	)	)	PUNCT
ejpam-1175	494	20	,	,	PUNCT
ejpam-1175	494	21	r	r	NOUN
ejpam-1175	494	22	=	=	SYM
ejpam-1175	494	23	r(x	r(x	PROPN
ejpam-1175	494	24	,	,	PUNCT
ejpam-1175	494	25	y	y	PROPN
ejpam-1175	494	26	)	)	PUNCT
ejpam-1175	494	27	is	be	AUX
ejpam-1175	494	28	once	once	ADV
ejpam-1175	494	29	-	-	PUNCT
ejpam-1175	494	30	continuously	continuously	ADV
ejpam-1175	494	31	differentiable	differentiable	ADJ
ejpam-1175	494	32	in	in	ADP
ejpam-1175	494	33	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	494	34	d	d	PROPN
ejpam-1175	494	35	)	)	PUNCT
ejpam-1175	494	36	,	,	PUNCT
ejpam-1175	494	37	ki	ki	PROPN
ejpam-1175	494	38	=	=	PUNCT
ejpam-1175	494	39	ki(y	ki(y	PROPN
ejpam-1175	494	40	)	)	PUNCT
ejpam-1175	494	41	(	(	PUNCT
ejpam-1175	494	42	i	i	NOUN
ejpam-1175	494	43	=	=	SYM
ejpam-1175	494	44	1,2	1,2	NUM
ejpam-1175	494	45	)	)	PUNCT
ejpam-1175	494	46	are	be	AUX
ejpam-1175	494	47	once	once	ADV
ejpam-1175	494	48	-	-	PUNCT
ejpam-1175	494	49	continuously	continuously	ADV
ejpam-1175	494	50	differentiable	differentiable	ADJ
ejpam-1175	494	51	for	for	ADP
ejpam-1175	494	52	y	y	PROPN
ejpam-1175	494	53	∈	∈	PROPN
ejpam-1175	495	1	[	[	X
ejpam-1175	495	2	−k1	−k1	NOUN
ejpam-1175	495	3	,	,	PUNCT
ejpam-1175	495	4	k2	k2	PROPN
ejpam-1175	495	5	]	]	PUNCT
ejpam-1175	495	6	with	with	ADP
ejpam-1175	495	7	−k1	−k1	NOUN
ejpam-1175	495	8	=	=	PUNCT
ejpam-1175	495	9	in	in	ADP
ejpam-1175	495	10	f	f	PROPN
ejpam-1175	495	11	{	{	PUNCT
ejpam-1175	495	12	y	y	NOUN
ejpam-1175	495	13	:	:	PUNCT
ejpam-1175	495	14	(	(	PUNCT
ejpam-1175	495	15	x	x	X
ejpam-1175	495	16	,	,	PUNCT
ejpam-1175	495	17	y	y	PROPN
ejpam-1175	495	18	)	)	PUNCT
ejpam-1175	495	19	∈	∈	PROPN
ejpam-1175	496	1	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	496	2	d	d	PROPN
ejpam-1175	496	3	)	)	PUNCT
ejpam-1175	496	4	}	}	PUNCT
ejpam-1175	496	5	and	and	CCONJ
ejpam-1175	496	6	k2	k2	PROPN
ejpam-1175	496	7	=	=	PROPN
ejpam-1175	496	8	sup{y	sup{y	PROPN
ejpam-1175	496	9	:	:	PUNCT
ejpam-1175	496	10	(	(	PUNCT
ejpam-1175	496	11	x	x	X
ejpam-1175	496	12	,	,	PUNCT
ejpam-1175	496	13	y	y	PROPN
ejpam-1175	496	14	)	)	PUNCT
ejpam-1175	496	15	∈	∈	PROPN
ejpam-1175	496	16	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	496	17	d	d	PROPN
ejpam-1175	496	18	)	)	PUNCT
ejpam-1175	496	19	}	}	PUNCT
ejpam-1175	496	20	,	,	PUNCT
ejpam-1175	496	21	and	and	CCONJ
ejpam-1175	496	22	mi	mi	PROPN
ejpam-1175	496	23	=	=	SYM
ejpam-1175	496	24	mi(x	mi(x	PROPN
ejpam-1175	496	25	)	)	PUNCT
ejpam-1175	497	1	(	(	PUNCT
ejpam-1175	497	2	i	i	NOUN
ejpam-1175	497	3	=	=	SYM
ejpam-1175	497	4	1,2	1,2	NUM
ejpam-1175	497	5	)	)	PUNCT
ejpam-1175	497	6	are	be	AUX
ejpam-1175	497	7	once	once	ADV
ejpam-1175	497	8	-	-	PUNCT
ejpam-1175	497	9	continuously	continuously	ADV
ejpam-1175	497	10	differentiable	differentiable	VERB
ejpam-1175	497	11	for	for	ADP
ejpam-1175	497	12	x	x	SYM
ejpam-1175	497	13	∈	∈	PROPN
ejpam-1175	497	14	[	[	X
ejpam-1175	497	15	−m1	−m1	PROPN
ejpam-1175	497	16	,	,	PUNCT
ejpam-1175	497	17	m2	m2	PROPN
ejpam-1175	497	18	]	]	PUNCT
ejpam-1175	497	19	with	with	ADP
ejpam-1175	497	20	−m1	−m1	PROPN
ejpam-1175	497	21	=	=	PUNCT
ejpam-1175	497	22	in	in	ADP
ejpam-1175	497	23	f	f	PROPN
ejpam-1175	497	24	{	{	PUNCT
ejpam-1175	497	25	x	x	X
ejpam-1175	497	26	:	:	PUNCT
ejpam-1175	497	27	(	(	PUNCT
ejpam-1175	497	28	x	x	X
ejpam-1175	497	29	,	,	PUNCT
ejpam-1175	497	30	y	y	PROPN
ejpam-1175	497	31	)	)	PUNCT
ejpam-1175	497	32	∈	∈	PROPN
ejpam-1175	497	33	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	497	34	d	d	PROPN
ejpam-1175	497	35	)	)	PUNCT
ejpam-1175	497	36	}	}	PUNCT
ejpam-1175	497	37	and	and	CCONJ
ejpam-1175	497	38	m2	m2	PROPN
ejpam-1175	497	39	=	=	PROPN
ejpam-1175	497	40	sup{x	sup{x	NOUN
ejpam-1175	497	41	:	:	PUNCT
ejpam-1175	497	42	(	(	PUNCT
ejpam-1175	497	43	x	x	X
ejpam-1175	497	44	,	,	PUNCT
ejpam-1175	497	45	y	y	PROPN
ejpam-1175	497	46	)	)	PUNCT
ejpam-1175	497	47	∈	∈	PROPN
ejpam-1175	497	48	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	497	49	d	d	PROPN
ejpam-1175	497	50	)	)	PUNCT
ejpam-1175	497	51	}	}	PUNCT
ejpam-1175	497	52	.	.	PUNCT
ejpam-1175	498	1	then	then	ADV
ejpam-1175	498	2	the	the	DET
ejpam-1175	498	3	problem	problem	NOUN
ejpam-1175	498	4	(	(	PUNCT
ejpam-1175	498	5	ef	ef	X
ejpam-1175	498	6	)	)	PUNCT
ejpam-1175	498	7	has	have	VERB
ejpam-1175	498	8	at	at	ADP
ejpam-1175	498	9	most	most	ADV
ejpam-1175	498	10	one	one	NUM
ejpam-1175	498	11	quasi	quasi	ADJ
ejpam-1175	498	12	-	-	ADJ
ejpam-1175	498	13	regular	regular	ADJ
ejpam-1175	498	14	solution	solution	NOUN
ejpam-1175	498	15	in	in	ADP
ejpam-1175	498	16	d̃(⊂	d̃(⊂	PROPN
ejpam-1175	498	17	d	d	PROPN
ejpam-1175	498	18	)	)	PUNCT
ejpam-1175	498	19	.	.	PUNCT
ejpam-1175	499	1	4	4	X
ejpam-1175	499	2	.	.	X
ejpam-1175	499	3	open	open	ADJ
ejpam-1175	499	4	problems	problem	NOUN
ejpam-1175	499	5	4.1	4.1	NUM
ejpam-1175	499	6	.	.	PUNCT
ejpam-1175	500	1	extend	extend	VERB
ejpam-1175	500	2	“	"	PUNCT
ejpam-1175	500	3	quasi	quasi	ADJ
ejpam-1175	500	4	-	-	NOUN
ejpam-1175	500	5	regularity	regularity	NOUN
ejpam-1175	500	6	”	"	PUNCT
ejpam-1175	500	7	of	of	ADP
ejpam-1175	500	8	solutions	solution	NOUN
ejpam-1175	500	9	to	to	ADP
ejpam-1175	500	10	“	"	PUNCT
ejpam-1175	500	11	regularity	regularity	NOUN
ejpam-1175	500	12	”	"	PUNCT
ejpam-1175	500	13	by	by	ADP
ejpam-1175	500	14	fixing	fix	VERB
ejpam-1175	500	15	singularities	singularity	NOUN
ejpam-1175	500	16	at	at	ADP
ejpam-1175	500	17	the	the	DET
ejpam-1175	500	18	following	following	ADJ
ejpam-1175	500	19	twelve	twelve	NUM
ejpam-1175	500	20	points	point	NOUN
ejpam-1175	500	21	:	:	PUNCT
ejpam-1175	500	22	o1	o1	NOUN
ejpam-1175	500	23	=	=	SYM
ejpam-1175	500	24	(	(	PUNCT
ejpam-1175	500	25	0,1	0,1	NUM
ejpam-1175	500	26	)	)	PUNCT
ejpam-1175	500	27	,	,	PUNCT
ejpam-1175	500	28	o1	o1	NOUN
ejpam-1175	500	29	′	′	NOUN
ejpam-1175	500	30	=	=	SYM
ejpam-1175	500	31	(	(	PUNCT
ejpam-1175	500	32	−1,1	−1,1	INTJ
ejpam-1175	500	33	)	)	PUNCT
ejpam-1175	500	34	,	,	PUNCT
ejpam-1175	500	35	o2	o2	PROPN
ejpam-1175	500	36	=	=	PUNCT
ejpam-1175	500	37	(	(	PUNCT
ejpam-1175	500	38	0,0),o2	0,0),o2	NOUN
ejpam-1175	500	39	′	′	NUM
ejpam-1175	500	40	=	=	PUNCT
ejpam-1175	500	41	(	(	PUNCT
ejpam-1175	500	42	−1,0	−1,0	NOUN
ejpam-1175	500	43	)	)	PUNCT
ejpam-1175	500	44	;	;	PUNCT
ejpam-1175	500	45	a1	a1	NOUN
ejpam-1175	500	46	=	=	SYM
ejpam-1175	500	47	(	(	PUNCT
ejpam-1175	500	48	−2,1	−2,1	INTJ
ejpam-1175	500	49	)	)	PUNCT
ejpam-1175	500	50	,	,	PUNCT
ejpam-1175	500	51	b1	b1	NOUN
ejpam-1175	500	52	=	=	SYM
ejpam-1175	500	53	(	(	PUNCT
ejpam-1175	500	54	1,1	1,1	NUM
ejpam-1175	500	55	)	)	PUNCT
ejpam-1175	500	56	,	,	PUNCT
ejpam-1175	500	57	a2	a2	PROPN
ejpam-1175	500	58	=	=	SYM
ejpam-1175	500	59	(	(	PUNCT
ejpam-1175	500	60	−2,0	−2,0	NOUN
ejpam-1175	500	61	)	)	PUNCT
ejpam-1175	500	62	,	,	PUNCT
ejpam-1175	500	63	b2	b2	NOUN
ejpam-1175	500	64	=	=	SYM
ejpam-1175	500	65	(	(	PUNCT
ejpam-1175	500	66	1,0	1,0	NUM
ejpam-1175	500	67	)	)	PUNCT
ejpam-1175	500	68	;	;	PUNCT
ejpam-1175	500	69	e1	e1	NOUN
ejpam-1175	500	70	=	=	SYM
ejpam-1175	500	71	(	(	PUNCT
ejpam-1175	500	72	−1,2	−1,2	NOUN
ejpam-1175	500	73	)	)	PUNCT
ejpam-1175	500	74	,	,	PUNCT
ejpam-1175	500	75	z1	z1	NOUN
ejpam-1175	500	76	=	=	SYM
ejpam-1175	500	77	(	(	PUNCT
ejpam-1175	500	78	0,2	0,2	NUM
ejpam-1175	500	79	)	)	PUNCT
ejpam-1175	500	80	,	,	PUNCT
ejpam-1175	500	81	e2	e2	PROPN
ejpam-1175	500	82	=	=	SYM
ejpam-1175	500	83	(	(	PUNCT
ejpam-1175	500	84	−1,−1	−1,−1	PROPN
ejpam-1175	500	85	)	)	PUNCT
ejpam-1175	500	86	,	,	PUNCT
ejpam-1175	500	87	z2	z2	NOUN
ejpam-1175	500	88	=	=	SYM
ejpam-1175	500	89	(	(	PUNCT
ejpam-1175	500	90	0,−1	0,−1	PROPN
ejpam-1175	500	91	)	)	PUNCT
ejpam-1175	500	92	.	.	PUNCT
ejpam-1175	501	1	references	reference	NOUN
ejpam-1175	501	2	206	206	NUM
ejpam-1175	501	3	4.2	4.2	NUM
ejpam-1175	501	4	.	.	PUNCT
ejpam-1175	502	1	investigate	investigate	VERB
ejpam-1175	502	2	the	the	DET
ejpam-1175	502	3	exterior	exterior	ADJ
ejpam-1175	502	4	tricomi	tricomi	NOUN
ejpam-1175	502	5	and	and	CCONJ
ejpam-1175	502	6	frankl	frankl	PROPN
ejpam-1175	502	7	problems	problem	NOUN
ejpam-1175	502	8	in	in	ADP
ejpam-1175	502	9	a	a	DET
ejpam-1175	502	10	multiply	multiply	ADV
ejpam-1175	502	11	connected	connect	VERB
ejpam-1175	502	12	mixed	mixed	ADJ
ejpam-1175	502	13	domain	domain	NOUN
ejpam-1175	502	14	.	.	PUNCT
ejpam-1175	503	1	4.3	4.3	NUM
ejpam-1175	503	2	.	.	PUNCT
ejpam-1175	503	3	establish	establish	VERB
ejpam-1175	503	4	“	"	PUNCT
ejpam-1175	503	5	well	well	ADJ
ejpam-1175	503	6	-	-	PUNCT
ejpam-1175	503	7	posedness	posedness	NOUN
ejpam-1175	503	8	”	"	PUNCT
ejpam-1175	503	9	of	of	ADP
ejpam-1175	503	10	solutions	solution	NOUN
ejpam-1175	503	11	for	for	ADP
ejpam-1175	503	12	the	the	DET
ejpam-1175	503	13	exterior	exterior	ADJ
ejpam-1175	503	14	tricomi	tricomi	NOUN
ejpam-1175	503	15	and	and	CCONJ
ejpam-1175	503	16	frankl	frankl	PROPN
ejpam-1175	503	17	problems	problem	NOUN
ejpam-1175	503	18	,	,	PUNCT
ejpam-1175	503	19	in	in	ADP
ejpam-1175	503	20	the	the	DET
ejpam-1175	503	21	sense	sense	NOUN
ejpam-1175	503	22	that	that	SCONJ
ejpam-1175	503	23	there	there	PRON
ejpam-1175	503	24	is	be	VERB
ejpam-1175	503	25	at	at	ADP
ejpam-1175	503	26	most	most	ADJ
ejpam-1175	503	27	one	one	NUM
ejpam-1175	503	28	quasi	quasi	ADJ
ejpam-1175	503	29	-	-	ADJ
ejpam-1175	503	30	regular	regular	ADJ
ejpam-1175	503	31	solution	solution	NOUN
ejpam-1175	503	32	and	and	CCONJ
ejpam-1175	503	33	a	a	DET
ejpam-1175	503	34	weak	weak	ADJ
ejpam-1175	503	35	solution	solution	NOUN
ejpam-1175	503	36	exists	exist	VERB
ejpam-1175	503	37	.	.	PUNCT
ejpam-1175	504	1	4.4	4.4	NUM
ejpam-1175	504	2	.	.	PUNCT
ejpam-1175	505	1	solve	solve	VERB
ejpam-1175	505	2	the	the	DET
ejpam-1175	505	3	n	n	CCONJ
ejpam-1175	505	4	dimensional	dimensional	ADJ
ejpam-1175	505	5	tricomi	tricomi	NOUN
ejpam-1175	505	6	and	and	CCONJ
ejpam-1175	505	7	frankl	frankl	PROPN
ejpam-1175	505	8	problems	problem	NOUN
ejpam-1175	505	9	in	in	ADP
ejpam-1175	505	10	a	a	DET
ejpam-1175	505	11	multiply	multiply	ADV
ejpam-1175	505	12	connected	connect	VERB
ejpam-1175	505	13	mixed	mixed	ADJ
ejpam-1175	505	14	domain	domain	NOUN
ejpam-1175	505	15	.	.	PUNCT
ejpam-1175	506	1	4.5	4.5	NUM
ejpam-1175	506	2	.	.	PUNCT
ejpam-1175	506	3	establish	establish	VERB
ejpam-1175	506	4	the	the	DET
ejpam-1175	506	5	extremum	extremum	ADJ
ejpam-1175	506	6	principle	principle	NOUN
ejpam-1175	506	7	for	for	ADP
ejpam-1175	506	8	the	the	DET
ejpam-1175	506	9	exterior	exterior	ADJ
ejpam-1175	506	10	tricomi	tricomi	NOUN
ejpam-1175	506	11	problem	problem	NOUN
ejpam-1175	506	12	:	:	PUNCT
ejpam-1175	506	13	“	"	PUNCT
ejpam-1175	506	14	a	a	DET
ejpam-1175	506	15	solution	solution	NOUN
ejpam-1175	506	16	of	of	ADP
ejpam-1175	506	17	the	the	DET
ejpam-1175	506	18	exterior	exterior	ADJ
ejpam-1175	506	19	tricomi	tricomi	NOUN
ejpam-1175	506	20	(	(	PUNCT
ejpam-1175	506	21	or	or	CCONJ
ejpam-1175	506	22	frankl	frankl	PROPN
ejpam-1175	506	23	)	)	PUNCT
ejpam-1175	506	24	problem	problem	NOUN
ejpam-1175	506	25	,	,	PUNCT
ejpam-1175	506	26	vanishing	vanish	VERB
ejpam-1175	506	27	on	on	ADP
ejpam-1175	506	28	the	the	DET
ejpam-1175	506	29	exterior	exterior	ADJ
ejpam-1175	506	30	boundary	boundary	NOUN
ejpam-1175	506	31	of	of	ADP
ejpam-1175	506	32	the	the	DET
ejpam-1175	506	33	considered	consider	VERB
ejpam-1175	506	34	mixed	mixed	ADJ
ejpam-1175	506	35	domain	domain	NOUN
ejpam-1175	506	36	,	,	PUNCT
ejpam-1175	506	37	achieves	achieve	VERB
ejpam-1175	506	38	neither	neither	CCONJ
ejpam-1175	506	39	a	a	DET
ejpam-1175	506	40	positive	positive	ADJ
ejpam-1175	506	41	maximum	maximum	NOUN
ejpam-1175	506	42	nor	nor	CCONJ
ejpam-1175	506	43	a	a	DET
ejpam-1175	506	44	negative	negative	ADJ
ejpam-1175	506	45	minimum	minimum	NOUN
ejpam-1175	506	46	on	on	ADP
ejpam-1175	506	47	open	open	ADJ
ejpam-1175	506	48	arcs	arc	NOUN
ejpam-1175	506	49	of	of	ADP
ejpam-1175	506	50	the	the	DET
ejpam-1175	506	51	type	type	NOUN
ejpam-1175	506	52	-	-	PUNCT
ejpam-1175	506	53	degeneracy	degeneracy	NOUN
ejpam-1175	506	54	curves	curve	NOUN
ejpam-1175	506	55	.	.	PUNCT
ejpam-1175	506	56	”	"	PUNCT
ejpam-1175	507	1	4.6	4.6	NUM
ejpam-1175	507	2	.	.	PUNCT
ejpam-1175	508	1	solve	solve	VERB
ejpam-1175	508	2	the	the	DET
ejpam-1175	508	3	tricomi	tricomi	NOUN
ejpam-1175	508	4	problem	problem	NOUN
ejpam-1175	508	5	for	for	ADP
ejpam-1175	508	6	pde	pde	NOUN
ejpam-1175	508	7	of	of	ADP
ejpam-1175	508	8	second	second	ADJ
ejpam-1175	508	9	order	order	NOUN
ejpam-1175	508	10	:	:	PUNCT
ejpam-1175	508	11	4.6.1	4.6.1	PROPN
ejpam-1175	508	12	k(y	k(y	PROPN
ejpam-1175	508	13	−	−	PROPN
ejpam-1175	508	14	xm−	xm−	PUNCT
ejpam-1175	508	15	xn)ux	xn)ux	PUNCT
ejpam-1175	508	16	x	x	PUNCT
ejpam-1175	509	1	+	+	CCONJ
ejpam-1175	509	2	uy	uy	PROPN
ejpam-1175	509	3	y	y	PROPN
ejpam-1175	509	4	+	+	PROPN
ejpam-1175	509	5	r(x	r(x	PROPN
ejpam-1175	509	6	,	,	PUNCT
ejpam-1175	509	7	y)u=	y)u=	PROPN
ejpam-1175	509	8	f	f	PROPN
ejpam-1175	509	9	(	(	PUNCT
ejpam-1175	509	10	x	x	PROPN
ejpam-1175	509	11	,	,	PUNCT
ejpam-1175	509	12	y	y	PROPN
ejpam-1175	509	13	)	)	PUNCT
ejpam-1175	509	14	;	;	PUNCT
ejpam-1175	510	1	4.6.2	4.6.2	NUM
ejpam-1175	510	2	ux	ux	NOUN
ejpam-1175	510	3	x	x	PUNCT
ejpam-1175	511	1	+	+	PROPN
ejpam-1175	511	2	m(x	m(x	PROPN
ejpam-1175	511	3	−	−	NOUN
ejpam-1175	511	4	ym−	ym−	ADJ
ejpam-1175	511	5	yn)uy	yn)uy	PROPN
ejpam-1175	512	1	y	y	PROPN
ejpam-1175	512	2	+	+	NUM
ejpam-1175	512	3	r(x	r(x	PROPN
ejpam-1175	512	4	,	,	PUNCT
ejpam-1175	512	5	y)u=	y)u=	PROPN
ejpam-1175	512	6	f	f	PROPN
ejpam-1175	512	7	(	(	PUNCT
ejpam-1175	512	8	x	x	PROPN
ejpam-1175	512	9	,	,	PUNCT
ejpam-1175	512	10	y	y	PROPN
ejpam-1175	512	11	)	)	PUNCT
ejpam-1175	512	12	;	;	PUNCT
ejpam-1175	512	13	4.6.3	4.6.3	NUM
ejpam-1175	512	14	k(xm+	k(xm+	VERB
ejpam-1175	512	15	yn	yn	NOUN
ejpam-1175	513	1	−	−	PROPN
ejpam-1175	513	2	1)ux	1)ux	NUM
ejpam-1175	513	3	x	x	PUNCT
ejpam-1175	514	1	+	+	CCONJ
ejpam-1175	514	2	uy	uy	PROPN
ejpam-1175	514	3	y	y	PROPN
ejpam-1175	514	4	+	+	PROPN
ejpam-1175	514	5	r(x	r(x	PROPN
ejpam-1175	514	6	,	,	PUNCT
ejpam-1175	514	7	y)u=	y)u=	PROPN
ejpam-1175	514	8	f	f	PROPN
ejpam-1175	514	9	(	(	PUNCT
ejpam-1175	514	10	x	x	PROPN
ejpam-1175	514	11	,	,	PUNCT
ejpam-1175	514	12	y	y	PROPN
ejpam-1175	514	13	)	)	PUNCT
ejpam-1175	514	14	,	,	PUNCT
ejpam-1175	514	15	for	for	ADP
ejpam-1175	514	16	example	example	NOUN
ejpam-1175	514	17	m=	m=	X
ejpam-1175	514	18	n=	n=	ADJ
ejpam-1175	514	19	2	2	NUM
ejpam-1175	514	20	or	or	CCONJ
ejpam-1175	514	21	=	=	SYM
ejpam-1175	514	22	2/3	2/3	NUM
ejpam-1175	514	23	;	;	PUNCT
ejpam-1175	514	24	4.6.4	4.6.4	NUM
ejpam-1175	514	25	k	k	PROPN
ejpam-1175	514	26	�	�	PROPN
ejpam-1175	514	27	(	(	PUNCT
ejpam-1175	514	28	y	y	PROPN
ejpam-1175	514	29	−	−	PROPN
ejpam-1175	514	30	xm)(y	xm)(y	PROPN
ejpam-1175	514	31	−	−	NUM
ejpam-1175	514	32	xn	xn	SYM
ejpam-1175	514	33	)	)	PUNCT
ejpam-1175	514	34	�	�	PROPN
ejpam-1175	514	35	ux	ux	NOUN
ejpam-1175	515	1	x	x	PROPN
ejpam-1175	516	1	+	+	CCONJ
ejpam-1175	516	2	uy	uy	PROPN
ejpam-1175	516	3	y	y	PROPN
ejpam-1175	516	4	+	+	CCONJ
ejpam-1175	516	5	r(x	r(x	PROPN
ejpam-1175	516	6	,	,	PUNCT
ejpam-1175	516	7	y)u	y)u	NOUN
ejpam-1175	516	8	=	=	SYM
ejpam-1175	516	9	f	f	X
ejpam-1175	516	10	(	(	PUNCT
ejpam-1175	516	11	x	x	INTJ
ejpam-1175	516	12	,	,	PUNCT
ejpam-1175	516	13	y	y	PROPN
ejpam-1175	516	14	)	)	PUNCT
ejpam-1175	516	15	;	;	PUNCT
ejpam-1175	516	16	4.6.5	4.6.5	NUM
ejpam-1175	516	17	k(y	k(y	PROPN
ejpam-1175	516	18	−	−	PROPN
ejpam-1175	516	19	xn)ux	xn)ux	PUNCT
ejpam-1175	516	20	x	x	PUNCT
ejpam-1175	517	1	+	+	NOUN
ejpam-1175	517	2	m(x	m(x	X
ejpam-1175	517	3	−	−	NOUN
ejpam-1175	517	4	ym)uy	ym)uy	PROPN
ejpam-1175	517	5	y	y	PROPN
ejpam-1175	517	6	+	+	X
ejpam-1175	517	7	r(x	r(x	PROPN
ejpam-1175	517	8	,	,	PUNCT
ejpam-1175	517	9	y)u=	y)u=	PROPN
ejpam-1175	517	10	f	f	PROPN
ejpam-1175	517	11	(	(	PUNCT
ejpam-1175	517	12	x	x	PROPN
ejpam-1175	517	13	,	,	PUNCT
ejpam-1175	517	14	y	y	PROPN
ejpam-1175	517	15	)	)	PUNCT
ejpam-1175	517	16	;	;	PUNCT
ejpam-1175	517	17	4.6.6	4.6.6	NUM
ejpam-1175	517	18	k(yk	k(yk	PROPN
ejpam-1175	517	19	−	−	PROPN
ejpam-1175	517	20	xm±	xm±	PROPN
ejpam-1175	517	21	xn)ux	xn)ux	PROPN
ejpam-1175	517	22	x	x	PROPN
ejpam-1175	518	1	+	+	PROPN
ejpam-1175	518	2	m(x	m(x	PROPN
ejpam-1175	518	3	k	k	NOUN
ejpam-1175	519	1	−	−	PROPN
ejpam-1175	519	2	ym±	ym±	PRON
ejpam-1175	520	1	yn)uy	yn)uy	PUNCT
ejpam-1175	520	2	y	y	PROPN
ejpam-1175	521	1	+	+	PROPN
ejpam-1175	521	2	r(x	r(x	PROPN
ejpam-1175	521	3	,	,	PUNCT
ejpam-1175	521	4	y)u=	y)u=	PROPN
ejpam-1175	521	5	f	f	PROPN
ejpam-1175	521	6	(	(	PUNCT
ejpam-1175	521	7	x	x	PROPN
ejpam-1175	521	8	,	,	PUNCT
ejpam-1175	521	9	y	y	PROPN
ejpam-1175	521	10	)	)	PUNCT
ejpam-1175	521	11	;	;	PUNCT
ejpam-1175	521	12	4.6.7	4.6.7	NUM
ejpam-1175	521	13	k	k	PROPN
ejpam-1175	521	14	�	�	PROPN
ejpam-1175	521	15	ym(y	ym(y	NUM
ejpam-1175	521	16	−	−	PROPN
ejpam-1175	521	17	xn	xn	X
ejpam-1175	521	18	)	)	PUNCT
ejpam-1175	521	19	�	�	PROPN
ejpam-1175	521	20	ux	ux	NOUN
ejpam-1175	522	1	x	x	PUNCT
ejpam-1175	522	2	+	+	ADJ
ejpam-1175	522	3	m	m	VERB
ejpam-1175	522	4	�	�	NOUN
ejpam-1175	522	5	xm(x	xm(x	PUNCT
ejpam-1175	522	6	−	−	PROPN
ejpam-1175	522	7	yn	yn	SYM
ejpam-1175	522	8	)	)	PUNCT
ejpam-1175	522	9	�	�	PROPN
ejpam-1175	522	10	uy	uy	PROPN
ejpam-1175	522	11	y	y	PROPN
ejpam-1175	523	1	+	+	CCONJ
ejpam-1175	523	2	r(x	r(x	PROPN
ejpam-1175	523	3	,	,	PUNCT
ejpam-1175	523	4	y)u	y)u	NOUN
ejpam-1175	524	1	=	=	SYM
ejpam-1175	524	2	f	f	X
ejpam-1175	524	3	(	(	PUNCT
ejpam-1175	524	4	x	x	INTJ
ejpam-1175	524	5	,	,	PUNCT
ejpam-1175	524	6	y	y	PROPN
ejpam-1175	524	7	)	)	PUNCT
ejpam-1175	524	8	;	;	PUNCT
ejpam-1175	524	9	4.6.8	4.6.8	NUM
ejpam-1175	524	10	k	k	PROPN
ejpam-1175	524	11	�	�	PROPN
ejpam-1175	524	12	(	(	PUNCT
ejpam-1175	524	13	y	y	PROPN
ejpam-1175	524	14	−	−	PROPN
ejpam-1175	524	15	xm)(y	xm)(y	PROPN
ejpam-1175	524	16	−	−	NUM
ejpam-1175	524	17	xn	xn	SYM
ejpam-1175	524	18	)	)	PUNCT
ejpam-1175	524	19	�	�	PROPN
ejpam-1175	524	20	ux	ux	NOUN
ejpam-1175	524	21	x	x	PUNCT
ejpam-1175	525	1	+	+	ADJ
ejpam-1175	525	2	m	m	VERB
ejpam-1175	525	3	�	�	NOUN
ejpam-1175	525	4	(	(	PUNCT
ejpam-1175	525	5	x	x	SYM
ejpam-1175	525	6	−	−	PROPN
ejpam-1175	525	7	yα)(x	yα)(x	PROPN
ejpam-1175	525	8	−	−	PROPN
ejpam-1175	525	9	yβ	yβ	PROPN
ejpam-1175	525	10	)	)	PUNCT
ejpam-1175	525	11	�	�	PROPN
ejpam-1175	525	12	uy	uy	NOUN
ejpam-1175	525	13	y	y	PROPN
ejpam-1175	525	14	+	+	PROPN
ejpam-1175	525	15	r(x	r(x	PROPN
ejpam-1175	525	16	,	,	PUNCT
ejpam-1175	525	17	y)u=	y)u=	PROPN
ejpam-1175	525	18	f	f	PROPN
ejpam-1175	525	19	(	(	PUNCT
ejpam-1175	525	20	x	x	PROPN
ejpam-1175	525	21	,	,	PUNCT
ejpam-1175	525	22	y	y	PROPN
ejpam-1175	525	23	)	)	PUNCT
ejpam-1175	525	24	.	.	PUNCT
ejpam-1175	526	1	4.7	4.7	NUM
ejpam-1175	526	2	.	.	PUNCT
ejpam-1175	526	3	solve	solve	VERB
ejpam-1175	526	4	the	the	DET
ejpam-1175	526	5	tricomi	tricomi	NOUN
ejpam-1175	526	6	problem	problem	NOUN
ejpam-1175	526	7	for	for	ADP
ejpam-1175	526	8	pde	pde	NOUN
ejpam-1175	526	9	of	of	ADP
ejpam-1175	526	10	fourth	fourth	ADJ
ejpam-1175	526	11	order	order	NOUN
ejpam-1175	526	12	:	:	PUNCT
ejpam-1175	526	13	�	�	PROPN
ejpam-1175	527	1	sgn(y	sgn(y	PROPN
ejpam-1175	527	2	−	−	PROPN
ejpam-1175	527	3	x	x	PUNCT
ejpam-1175	527	4	l)|y	l)|y	ADV
ejpam-1175	527	5	−	−	NOUN
ejpam-1175	527	6	x	x	SYM
ejpam-1175	527	7	l	l	NOUN
ejpam-1175	527	8	|k	|k	NOUN
ejpam-1175	527	9	∂	∂	NUM
ejpam-1175	527	10	2	2	NUM
ejpam-1175	527	11	∂	∂	NUM
ejpam-1175	527	12	x2	x2	NOUN
ejpam-1175	527	13	+	+	CCONJ
ejpam-1175	527	14	sgn(x	sgn(x	PROPN
ejpam-1175	527	15	−	−	PROPN
ejpam-1175	527	16	yn)|x	yn)|x	NOUN
ejpam-1175	527	17	−	−	PROPN
ejpam-1175	527	18	yn|m	yn|m	PROPN
ejpam-1175	527	19	∂	∂	NUM
ejpam-1175	527	20	2	2	NUM
ejpam-1175	527	21	∂	∂	NUM
ejpam-1175	527	22	y2	y2	NOUN
ejpam-1175	527	23	+	+	CCONJ
ejpam-1175	527	24	r	r	NOUN
ejpam-1175	527	25	�	�	PROPN
ejpam-1175	527	26	2	2	NUM
ejpam-1175	527	27	u	u	NOUN
ejpam-1175	527	28	=	=	PROPN
ejpam-1175	527	29	f	f	PROPN
ejpam-1175	527	30	.	.	PUNCT
ejpam-1175	527	31	4.8	4.8	NUM
ejpam-1175	527	32	.	.	PUNCT
ejpam-1175	528	1	solve	solve	VERB
ejpam-1175	528	2	the	the	DET
ejpam-1175	528	3	3	3	NUM
ejpam-1175	528	4	dimensional	dimensional	ADJ
ejpam-1175	528	5	tricomi	tricomi	NOUN
ejpam-1175	528	6	problem	problem	NOUN
ejpam-1175	528	7	for	for	ADP
ejpam-1175	528	8	mixed	mixed	ADJ
ejpam-1175	528	9	type	type	NOUN
ejpam-1175	528	10	pde	pde	NOUN
ejpam-1175	528	11	of	of	ADP
ejpam-1175	528	12	second	second	ADJ
ejpam-1175	528	13	order	order	NOUN
ejpam-1175	528	14	:	:	PUNCT
ejpam-1175	528	15	sgn(z)|z|k(ux	sgn(z)|z|k(ux	NOUN
ejpam-1175	528	16	x	x	SYM
ejpam-1175	528	17	±	±	NUM
ejpam-1175	528	18	uy	uy	NOUN
ejpam-1175	528	19	y	y	PROPN
ejpam-1175	528	20	)	)	PUNCT
ejpam-1175	529	1	+	+	CCONJ
ejpam-1175	529	2	sgn(x	sgn(x	PRON
ejpam-1175	529	3	y)|x	y)|x	NOUN
ejpam-1175	529	4	|m|y|nuzz	|m|y|nuzz	NOUN
ejpam-1175	529	5	+	+	CCONJ
ejpam-1175	529	6	ru=	ru=	PROPN
ejpam-1175	529	7	f	f	PROPN
ejpam-1175	529	8	.	.	PUNCT
ejpam-1175	530	1	references	reference	NOUN
ejpam-1175	530	2	[	[	X
ejpam-1175	530	3	1	1	NUM
ejpam-1175	530	4	]	]	PUNCT
ejpam-1175	530	5	g.	g.	PROPN
ejpam-1175	530	6	barantsev	barantsev	PROPN
ejpam-1175	530	7	.	.	PUNCT
ejpam-1175	531	1	on	on	ADP
ejpam-1175	531	2	singularities	singularity	NOUN
ejpam-1175	531	3	of	of	ADP
ejpam-1175	531	4	the	the	DET
ejpam-1175	531	5	tricomi	tricomi	NOUN
ejpam-1175	531	6	problem	problem	NOUN
ejpam-1175	531	7	solution	solution	NOUN
ejpam-1175	531	8	by	by	ADP
ejpam-1175	531	9	the	the	DET
ejpam-1175	531	10	fourier	fourier	ADJ
ejpam-1175	531	11	method	method	NOUN
ejpam-1175	531	12	.	.	PUNCT
ejpam-1175	532	1	in	in	ADP
ejpam-1175	532	2	j.	j.	PROPN
ejpam-1175	532	3	m.	m.	PROPN
ejpam-1175	532	4	rassias	rassias	PROPN
ejpam-1175	532	5	,	,	PUNCT
ejpam-1175	532	6	editor	editor	NOUN
ejpam-1175	532	7	,	,	PUNCT
ejpam-1175	532	8	teubner	teubner	NOUN
ejpam-1175	532	9	-	-	PUNCT
ejpam-1175	532	10	texte	texte	PROPN
ejpam-1175	532	11	zur	zur	PROPN
ejpam-1175	532	12	mathematik	mathematik	PROPN
ejpam-1175	532	13	,	,	PUNCT
ejpam-1175	532	14	vol	vol	NOUN
ejpam-1175	532	15	.	.	PROPN
ejpam-1175	532	16	90	90	NUM
ejpam-1175	532	17	,	,	PUNCT
ejpam-1175	532	18	47–54	47–54	NUM
ejpam-1175	532	19	.	.	PUNCT
ejpam-1175	532	20	teubner	teubner	NOUN
ejpam-1175	532	21	-	-	PUNCT
ejpam-1175	532	22	texte	texte	PROPN
ejpam-1175	532	23	zur	zur	PROPN
ejpam-1175	532	24	mathematik	mathematik	PROPN
ejpam-1175	532	25	,	,	PUNCT
ejpam-1175	532	26	leipzig	leipzig	NOUN
ejpam-1175	532	27	,	,	PUNCT
ejpam-1175	532	28	1986	1986	NUM
ejpam-1175	532	29	.	.	PUNCT
ejpam-1175	533	1	[	[	X
ejpam-1175	533	2	2	2	NUM
ejpam-1175	533	3	]	]	X
ejpam-1175	533	4	g.	g.	PROPN
ejpam-1175	533	5	fichera	fichera	PROPN
ejpam-1175	533	6	.	.	PUNCT
ejpam-1175	534	1	francesco	francesco	PROPN
ejpam-1175	534	2	giacomo	giacomo	PROPN
ejpam-1175	534	3	tricomi	tricomi	PROPN
ejpam-1175	534	4	.	.	PUNCT
ejpam-1175	535	1	in	in	ADP
ejpam-1175	535	2	j.	j.	PROPN
ejpam-1175	535	3	m.	m.	PROPN
ejpam-1175	535	4	rassias	rassias	PROPN
ejpam-1175	535	5	,	,	PUNCT
ejpam-1175	535	6	editor	editor	NOUN
ejpam-1175	535	7	,	,	PUNCT
ejpam-1175	535	8	teubner	teubner	NOUN
ejpam-1175	535	9	-	-	PUNCT
ejpam-1175	535	10	texte	texte	PROPN
ejpam-1175	535	11	zur	zur	PROPN
ejpam-1175	535	12	mathematik	mathematik	PROPN
ejpam-1175	535	13	,	,	PUNCT
ejpam-1175	535	14	vol	vol	NOUN
ejpam-1175	535	15	.	.	PROPN
ejpam-1175	535	16	79	79	NUM
ejpam-1175	535	17	,	,	PUNCT
ejpam-1175	535	18	6–31	6–31	PROPN
ejpam-1175	535	19	.	.	PUNCT
ejpam-1175	536	1	teubner	teubner	NOUN
ejpam-1175	536	2	-	-	PUNCT
ejpam-1175	536	3	texte	texte	PROPN
ejpam-1175	536	4	zur	zur	PROPN
ejpam-1175	536	5	mathematik	mathematik	PROPN
ejpam-1175	536	6	,	,	PUNCT
ejpam-1175	536	7	leipzig	leipzig	NOUN
ejpam-1175	536	8	,	,	PUNCT
ejpam-1175	536	9	1985	1985	NUM
ejpam-1175	536	10	.	.	PUNCT
ejpam-1175	537	1	[	[	X
ejpam-1175	537	2	3	3	X
ejpam-1175	537	3	]	]	X
ejpam-1175	537	4	f.	f.	PROPN
ejpam-1175	537	5	i.	i.	PROPN
ejpam-1175	537	6	frankl	frankl	PROPN
ejpam-1175	537	7	.	.	PUNCT
ejpam-1175	538	1	on	on	ADP
ejpam-1175	538	2	the	the	DET
ejpam-1175	538	3	problems	problem	NOUN
ejpam-1175	538	4	of	of	ADP
ejpam-1175	538	5	claplygin	claplygin	ADJ
ejpam-1175	538	6	for	for	ADP
ejpam-1175	538	7	mixed	mixed	ADJ
ejpam-1175	538	8	subsonic	subsonic	ADJ
ejpam-1175	538	9	and	and	CCONJ
ejpam-1175	538	10	supersonic	supersonic	ADJ
ejpam-1175	538	11	flows	flow	NOUN
ejpam-1175	538	12	.	.	PUNCT
ejpam-1175	539	1	izv	izv	PROPN
ejpam-1175	539	2	.	.	PROPN
ejpam-1175	539	3	akad	akad	PROPN
ejpam-1175	539	4	.	.	PUNCT
ejpam-1175	540	1	nauk	nauk	PROPN
ejpam-1175	540	2	sssr	sssr	PROPN
ejpam-1175	540	3	ser	ser	PROPN
ejpam-1175	540	4	.	.	PROPN
ejpam-1175	541	1	mat	mat	NOUN
ejpam-1175	541	2	.	.	NOUN
ejpam-1175	541	3	9	9	NUM
ejpam-1175	541	4	:	:	SYM
ejpam-1175	541	5	121–143	121–143	NUM
ejpam-1175	541	6	,	,	PUNCT
ejpam-1175	541	7	1945	1945	NUM
ejpam-1175	541	8	.	.	PUNCT
ejpam-1175	542	1	references	reference	NOUN
ejpam-1175	542	2	207	207	NUM
ejpam-1175	542	3	[	[	X
ejpam-1175	542	4	4	4	NUM
ejpam-1175	542	5	]	]	PUNCT
ejpam-1175	542	6	m.	m.	NOUN
ejpam-1175	542	7	kracht	kracht	PROPN
ejpam-1175	542	8	and	and	CCONJ
ejpam-1175	542	9	e.	e.	PROPN
ejpam-1175	542	10	kreyszig	kreyszig	PROPN
ejpam-1175	542	11	.	.	PUNCT
ejpam-1175	543	1	the	the	DET
ejpam-1175	543	2	tricomi	tricomi	NOUN
ejpam-1175	543	3	equation	equation	NOUN
ejpam-1175	543	4	and	and	CCONJ
ejpam-1175	543	5	transition	transition	NOUN
ejpam-1175	543	6	problems	problem	NOUN
ejpam-1175	543	7	.	.	PUNCT
ejpam-1175	544	1	in	in	ADP
ejpam-1175	544	2	j.	j.	PROPN
ejpam-1175	544	3	m.	m.	PROPN
ejpam-1175	544	4	rassias	rassias	PROPN
ejpam-1175	544	5	,	,	PUNCT
ejpam-1175	544	6	editor	editor	NOUN
ejpam-1175	544	7	,	,	PUNCT
ejpam-1175	544	8	teubner	teubner	NOUN
ejpam-1175	544	9	-	-	PUNCT
ejpam-1175	544	10	texte	texte	PROPN
ejpam-1175	544	11	zur	zur	PROPN
ejpam-1175	544	12	mathematik	mathematik	PROPN
ejpam-1175	544	13	,	,	PUNCT
ejpam-1175	544	14	vol	vol	NOUN
ejpam-1175	544	15	.	.	PROPN
ejpam-1175	544	16	90	90	NUM
ejpam-1175	544	17	,	,	PUNCT
ejpam-1175	544	18	157–165	157–165	NUM
ejpam-1175	544	19	.	.	PUNCT
ejpam-1175	545	1	teubner	teubner	NOUN
ejpam-1175	545	2	-	-	PUNCT
ejpam-1175	545	3	texte	texte	PROPN
ejpam-1175	545	4	zur	zur	PROPN
ejpam-1175	545	5	mathematik	mathematik	PROPN
ejpam-1175	545	6	,	,	PUNCT
ejpam-1175	545	7	leipzig	leipzig	NOUN
ejpam-1175	545	8	,	,	PUNCT
ejpam-1175	545	9	1986	1986	NUM
ejpam-1175	545	10	.	.	PUNCT
ejpam-1175	546	1	[	[	X
ejpam-1175	546	2	5	5	X
ejpam-1175	546	3	]	]	PUNCT
ejpam-1175	546	4	e.	e.	PROPN
ejpam-1175	546	5	kreyszig	kreyszig	PROPN
ejpam-1175	546	6	.	.	PUNCT
ejpam-1175	547	1	introductory	introductory	ADJ
ejpam-1175	547	2	functional	functional	ADJ
ejpam-1175	547	3	analysis	analysis	NOUN
ejpam-1175	547	4	with	with	ADP
ejpam-1175	547	5	applications	application	NOUN
ejpam-1175	547	6	.	.	PUNCT
ejpam-1175	548	1	wiley	wiley	PROPN
ejpam-1175	548	2	,	,	PUNCT
ejpam-1175	548	3	new	new	PROPN
ejpam-1175	548	4	york	york	PROPN
ejpam-1175	548	5	,	,	PUNCT
ejpam-1175	548	6	1989	1989	NUM
ejpam-1175	548	7	.	.	PUNCT
ejpam-1175	549	1	[	[	X
ejpam-1175	549	2	6	6	NUM
ejpam-1175	549	3	]	]	X
ejpam-1175	549	4	e.	e.	PROPN
ejpam-1175	549	5	kreyszig	kreyszig	PROPN
ejpam-1175	549	6	.	.	PUNCT
ejpam-1175	550	1	banach	banach	NOUN
ejpam-1175	550	2	spaces	space	VERB
ejpam-1175	550	3	in	in	ADP
ejpam-1175	550	4	bergman	bergman	PROPN
ejpam-1175	550	5	operator	operator	NOUN
ejpam-1175	550	6	theory	theory	NOUN
ejpam-1175	550	7	.	.	PUNCT
ejpam-1175	551	1	in	in	ADP
ejpam-1175	551	2	j.	j.	PROPN
ejpam-1175	551	3	m.	m.	PROPN
ejpam-1175	551	4	rassias	rassias	PROPN
ejpam-1175	551	5	,	,	PUNCT
ejpam-1175	551	6	editor	editor	NOUN
ejpam-1175	551	7	,	,	PUNCT
ejpam-1175	551	8	world	world	NOUN
ejpam-1175	551	9	scientific	scientific	NOUN
ejpam-1175	551	10	,	,	PUNCT
ejpam-1175	551	11	155–165	155–165	NUM
ejpam-1175	551	12	.	.	PUNCT
ejpam-1175	552	1	world	world	PROPN
ejpam-1175	552	2	scientific	scientific	PROPN
ejpam-1175	552	3	,	,	PUNCT
ejpam-1175	552	4	singapore	singapore	PROPN
ejpam-1175	552	5	,	,	PUNCT
ejpam-1175	552	6	1994	1994	NUM
ejpam-1175	552	7	.	.	PUNCT
ejpam-1175	553	1	[	[	X
ejpam-1175	553	2	7	7	X
ejpam-1175	553	3	]	]	PUNCT
ejpam-1175	553	4	m.	m.	NOUN
ejpam-1175	553	5	h.	h.	PROPN
ejpam-1175	553	6	protter	protter	PROPN
ejpam-1175	553	7	.	.	PUNCT
ejpam-1175	554	1	uniqueness	uniqueness	NOUN
ejpam-1175	554	2	theorems	theorem	NOUN
ejpam-1175	554	3	for	for	ADP
ejpam-1175	554	4	the	the	DET
ejpam-1175	554	5	tricomi	tricomi	NOUN
ejpam-1175	554	6	problem	problem	NOUN
ejpam-1175	554	7	,	,	PUNCT
ejpam-1175	554	8	i	i	PRON
ejpam-1175	554	9	,	,	PUNCT
ejpam-1175	554	10	ii	ii	PROPN
ejpam-1175	554	11	.	.	PUNCT
ejpam-1175	555	1	j.rat	j.rat	PROPN
ejpam-1175	555	2	.	.	PROPN
ejpam-1175	555	3	mech	mech	PROPN
ejpam-1175	555	4	.	.	PUNCT
ejpam-1175	556	1	anal	anal	ADJ
ejpam-1175	556	2	.	.	PUNCT
ejpam-1175	557	1	2	2	NUM
ejpam-1175	557	2	:	:	SYM
ejpam-1175	557	3	107–114	107–114	NUM
ejpam-1175	557	4	,	,	PUNCT
ejpam-1175	557	5	1953	1953	NUM
ejpam-1175	557	6	;	;	PUNCT
ejpam-1175	557	7	4	4	NUM
ejpam-1175	557	8	:	:	PUNCT
ejpam-1175	557	9	721–732	721–732	NUM
ejpam-1175	557	10	,	,	PUNCT
ejpam-1175	557	11	1955	1955	NUM
ejpam-1175	557	12	.	.	PUNCT
ejpam-1175	558	1	[	[	X
ejpam-1175	558	2	8	8	X
ejpam-1175	558	3	]	]	X
ejpam-1175	558	4	j.	j.	PROPN
ejpam-1175	558	5	m.	m.	PROPN
ejpam-1175	558	6	rassias	rassias	PROPN
ejpam-1175	558	7	.	.	PUNCT
ejpam-1175	559	1	mixed	mixed	ADJ
ejpam-1175	559	2	type	type	NOUN
ejpam-1175	559	3	partial	partial	ADJ
ejpam-1175	559	4	differential	differential	NOUN
ejpam-1175	559	5	equations	equation	NOUN
ejpam-1175	559	6	in	in	ADP
ejpam-1175	559	7	rn	rn	PROPN
ejpam-1175	559	8	.	.	PUNCT
ejpam-1175	560	1	phd	phd	NOUN
ejpam-1175	560	2	thesis	thesis	PROPN
ejpam-1175	560	3	,	,	PUNCT
ejpam-1175	560	4	university	university	PROPN
ejpam-1175	560	5	of	of	ADP
ejpam-1175	560	6	california	california	PROPN
ejpam-1175	560	7	berkeley	berkeley	PROPN
ejpam-1175	560	8	,	,	PUNCT
ejpam-1175	560	9	1977	1977	NUM
ejpam-1175	560	10	.	.	PUNCT
ejpam-1175	561	1	[	[	X
ejpam-1175	561	2	9	9	NUM
ejpam-1175	561	3	]	]	X
ejpam-1175	561	4	j.	j.	PROPN
ejpam-1175	561	5	m.	m.	PROPN
ejpam-1175	561	6	rassias	rassias	PROPN
ejpam-1175	561	7	.	.	PUNCT
ejpam-1175	562	1	a	a	DET
ejpam-1175	562	2	maximum	maximum	ADJ
ejpam-1175	562	3	principle	principle	NOUN
ejpam-1175	562	4	in	in	ADP
ejpam-1175	562	5	rn+1	rn+1	PROPN
ejpam-1175	562	6	.	.	PUNCT
ejpam-1175	562	7	j.	j.	PROPN
ejpam-1175	562	8	math	math	PROPN
ejpam-1175	562	9	.	.	PUNCT
ejpam-1175	563	1	anal	anal	PROPN
ejpam-1175	563	2	.	.	PUNCT
ejpam-1175	563	3	appl	appl	PROPN
ejpam-1175	563	4	.	.	PROPN
ejpam-1175	563	5	,	,	PUNCT
ejpam-1175	563	6	85	85	NUM
ejpam-1175	563	7	:	:	PUNCT
ejpam-1175	563	8	106–113	106–113	NUM
ejpam-1175	563	9	,	,	PUNCT
ejpam-1175	563	10	1982	1982	NUM
ejpam-1175	563	11	.	.	PUNCT
ejpam-1175	564	1	[	[	X
ejpam-1175	564	2	10	10	NUM
ejpam-1175	564	3	]	]	X
ejpam-1175	564	4	j.	j.	PROPN
ejpam-1175	564	5	m.	m.	PROPN
ejpam-1175	564	6	rassias	rassias	PROPN
ejpam-1175	564	7	.	.	PUNCT
ejpam-1175	565	1	on	on	ADP
ejpam-1175	565	2	the	the	DET
ejpam-1175	565	3	tricomi	tricomi	NOUN
ejpam-1175	565	4	problem	problem	NOUN
ejpam-1175	565	5	with	with	ADP
ejpam-1175	565	6	two	two	NUM
ejpam-1175	565	7	parabolic	parabolic	ADJ
ejpam-1175	565	8	lines	line	NOUN
ejpam-1175	565	9	of	of	ADP
ejpam-1175	565	10	degeneracy	degeneracy	PROPN
ejpam-1175	565	11	.	.	PUNCT
ejpam-1175	566	1	bull	bull	PROPN
ejpam-1175	566	2	.	.	PUNCT
ejpam-1175	567	1	inst	inst	PROPN
ejpam-1175	567	2	.	.	PUNCT
ejpam-1175	568	1	math	math	NOUN
ejpam-1175	568	2	.	.	PUNCT
ejpam-1175	568	3	,	,	PUNCT
ejpam-1175	568	4	acad	acad	PROPN
ejpam-1175	568	5	.	.	PUNCT
ejpam-1175	569	1	sinica	sinica	PROPN
ejpam-1175	569	2	,	,	PUNCT
ejpam-1175	569	3	12	12	NUM
ejpam-1175	569	4	:	:	PUNCT
ejpam-1175	569	5	62–67	62–67	NUM
ejpam-1175	569	6	,	,	PUNCT
ejpam-1175	569	7	1983	1983	NUM
ejpam-1175	569	8	.	.	PUNCT
ejpam-1175	570	1	[	[	X
ejpam-1175	570	2	11	11	NUM
ejpam-1175	570	3	]	]	PUNCT
ejpam-1175	570	4	j.	j.	PROPN
ejpam-1175	570	5	m.	m.	PROPN
ejpam-1175	570	6	rassias	rassias	PROPN
ejpam-1175	570	7	.	.	PUNCT
ejpam-1175	571	1	lecture	lecture	NOUN
ejpam-1175	571	2	notes	note	NOUN
ejpam-1175	571	3	on	on	ADP
ejpam-1175	571	4	mixed	mixed	ADJ
ejpam-1175	571	5	type	type	NOUN
ejpam-1175	571	6	partial	partial	ADJ
ejpam-1175	571	7	differential	differential	NOUN
ejpam-1175	571	8	equations	equation	NOUN
ejpam-1175	571	9	.	.	PUNCT
ejpam-1175	572	1	world	world	PROPN
ejpam-1175	572	2	scientific	scientific	PROPN
ejpam-1175	572	3	,	,	PUNCT
ejpam-1175	572	4	singapore	singapore	PROPN
ejpam-1175	572	5	,	,	PUNCT
ejpam-1175	572	6	1990	1990	NUM
ejpam-1175	572	7	.	.	PUNCT
ejpam-1175	573	1	[	[	X
ejpam-1175	573	2	12	12	NUM
ejpam-1175	573	3	]	]	X
ejpam-1175	573	4	j.	j.	PROPN
ejpam-1175	573	5	m.	m.	PROPN
ejpam-1175	573	6	rassias	rassias	PROPN
ejpam-1175	573	7	.	.	PUNCT
ejpam-1175	574	1	on	on	ADP
ejpam-1175	574	2	the	the	DET
ejpam-1175	574	3	well	well	ADV
ejpam-1175	574	4	-	-	PUNCT
ejpam-1175	574	5	posed	pose	VERB
ejpam-1175	574	6	tricomi	tricomi	NOUN
ejpam-1175	574	7	problem	problem	NOUN
ejpam-1175	574	8	in	in	ADP
ejpam-1175	574	9	r2	r2	PROPN
ejpam-1175	574	10	.	.	PUNCT
ejpam-1175	575	1	discuss	discuss	PROPN
ejpam-1175	575	2	.	.	PUNCT
ejpam-1175	575	3	math	math	NOUN
ejpam-1175	575	4	.	.	PUNCT
ejpam-1175	576	1	,	,	PUNCT
ejpam-1175	576	2	12	12	NUM
ejpam-1175	576	3	:	:	SYM
ejpam-1175	576	4	85–93	85–93	NUM
ejpam-1175	576	5	,	,	PUNCT
ejpam-1175	576	6	1992	1992	NUM
ejpam-1175	576	7	.	.	PUNCT
ejpam-1175	577	1	[	[	X
ejpam-1175	577	2	13	13	NUM
ejpam-1175	577	3	]	]	X
ejpam-1175	577	4	j.	j.	PROPN
ejpam-1175	577	5	m.	m.	PROPN
ejpam-1175	577	6	rassias	rassias	PROPN
ejpam-1175	577	7	.	.	PUNCT
ejpam-1175	578	1	uniqueness	uniqueness	NOUN
ejpam-1175	578	2	of	of	ADP
ejpam-1175	578	3	quasi	quasi	ADJ
ejpam-1175	578	4	-	-	ADJ
ejpam-1175	578	5	regular	regular	ADJ
ejpam-1175	578	6	solutions	solution	NOUN
ejpam-1175	578	7	for	for	ADP
ejpam-1175	578	8	a	a	DET
ejpam-1175	578	9	parabolic	parabolic	ADJ
ejpam-1175	578	10	elliptic	elliptic	ADJ
ejpam-1175	578	11	-	-	PUNCT
ejpam-1175	578	12	hyperbolic	hyperbolic	ADJ
ejpam-1175	578	13	tricomi	tricomi	NOUN
ejpam-1175	578	14	problem	problem	NOUN
ejpam-1175	578	15	.	.	PUNCT
ejpam-1175	579	1	bull	bull	NOUN
ejpam-1175	579	2	.	.	PUNCT
ejpam-1175	579	3	inst	inst	PROPN
ejpam-1175	579	4	.	.	PUNCT
ejpam-1175	580	1	math	math	NOUN
ejpam-1175	580	2	.	.	PUNCT
ejpam-1175	580	3	,	,	PUNCT
ejpam-1175	580	4	acad	acad	PROPN
ejpam-1175	580	5	.	.	PUNCT
ejpam-1175	581	1	sinica	sinica	PROPN
ejpam-1175	581	2	,	,	PUNCT
ejpam-1175	581	3	25	25	NUM
ejpam-1175	581	4	:	:	SYM
ejpam-1175	581	5	277–287	277–287	NUM
ejpam-1175	581	6	,	,	PUNCT
ejpam-1175	581	7	1997	1997	NUM
ejpam-1175	581	8	.	.	PUNCT
ejpam-1175	582	1	[	[	X
ejpam-1175	582	2	14	14	NUM
ejpam-1175	582	3	]	]	X
ejpam-1175	582	4	j.	j.	PROPN
ejpam-1175	582	5	m.	m.	PROPN
ejpam-1175	582	6	rassias	rassias	PROPN
ejpam-1175	582	7	.	.	PUNCT
ejpam-1175	583	1	advances	advance	NOUN
ejpam-1175	583	2	in	in	ADP
ejpam-1175	583	3	equations	equation	NOUN
ejpam-1175	583	4	and	and	CCONJ
ejpam-1175	583	5	inequalities	inequality	NOUN
ejpam-1175	583	6	.	.	PUNCT
ejpam-1175	584	1	hadronic	hadronic	ADJ
ejpam-1175	584	2	press	press	PROPN
ejpam-1175	584	3	,	,	PUNCT
ejpam-1175	584	4	inc	inc	PROPN
ejpam-1175	584	5	.	.	PROPN
ejpam-1175	584	6	,	,	PUNCT
ejpam-1175	584	7	palm	palm	NOUN
ejpam-1175	584	8	harbor	harbor	PROPN
ejpam-1175	584	9	,	,	PUNCT
ejpam-1175	584	10	fl	fl	PROPN
ejpam-1175	584	11	.	.	PROPN
ejpam-1175	584	12	,	,	PUNCT
ejpam-1175	584	13	u.s.a	u.s.a	PROPN
ejpam-1175	584	14	.	.	PROPN
ejpam-1175	584	15	,	,	PUNCT
ejpam-1175	584	16	1999	1999	NUM
ejpam-1175	584	17	.	.	PUNCT
ejpam-1175	585	1	[	[	X
ejpam-1175	585	2	15	15	NUM
ejpam-1175	585	3	]	]	X
ejpam-1175	585	4	j.	j.	PROPN
ejpam-1175	585	5	m.	m.	PROPN
ejpam-1175	585	6	rassias	rassias	PROPN
ejpam-1175	585	7	.	.	PUNCT
ejpam-1175	586	1	existence	existence	NOUN
ejpam-1175	586	2	of	of	ADP
ejpam-1175	586	3	weak	weak	ADJ
ejpam-1175	586	4	solutions	solution	NOUN
ejpam-1175	586	5	for	for	ADP
ejpam-1175	586	6	a	a	DET
ejpam-1175	586	7	parabolic	parabolic	ADJ
ejpam-1175	586	8	elliptic	elliptic	ADJ
ejpam-1175	586	9	-	-	PUNCT
ejpam-1175	586	10	hyperbolic	hyperbolic	ADJ
ejpam-1175	586	11	tricomi	tricomi	NOUN
ejpam-1175	586	12	problem	problem	NOUN
ejpam-1175	586	13	.	.	PUNCT
ejpam-1175	587	1	tsukuba	tsukuba	PROPN
ejpam-1175	587	2	j.	j.	PROPN
ejpam-1175	587	3	math	math	PROPN
ejpam-1175	587	4	.	.	PUNCT
ejpam-1175	587	5	,	,	PUNCT
ejpam-1175	587	6	23	23	NUM
ejpam-1175	587	7	:	:	SYM
ejpam-1175	587	8	37–54	37–54	NUM
ejpam-1175	587	9	,	,	PUNCT
ejpam-1175	587	10	1999	1999	NUM
ejpam-1175	587	11	.	.	PUNCT
ejpam-1175	588	1	[	[	X
ejpam-1175	588	2	16	16	NUM
ejpam-1175	588	3	]	]	X
ejpam-1175	588	4	j.	j.	PROPN
ejpam-1175	588	5	m.	m.	PROPN
ejpam-1175	588	6	rassias	rassias	PROPN
ejpam-1175	588	7	.	.	PUNCT
ejpam-1175	589	1	uniqueness	uniqueness	NOUN
ejpam-1175	589	2	of	of	ADP
ejpam-1175	589	3	quasi	quasi	ADJ
ejpam-1175	589	4	-	-	ADJ
ejpam-1175	589	5	regular	regular	ADJ
ejpam-1175	589	6	solutions	solution	NOUN
ejpam-1175	589	7	for	for	ADP
ejpam-1175	589	8	a	a	DET
ejpam-1175	589	9	bi	bi	ADJ
ejpam-1175	589	10	-	-	ADJ
ejpam-1175	589	11	parabolic	parabolic	ADJ
ejpam-1175	589	12	elliptic	elliptic	ADJ
ejpam-1175	589	13	bihyperbolic	bihyperbolic	PROPN
ejpam-1175	589	14	tricomi	tricomi	PROPN
ejpam-1175	589	15	problem	problem	NOUN
ejpam-1175	589	16	.	.	PUNCT
ejpam-1175	590	1	complex	complex	ADJ
ejpam-1175	590	2	variables	variable	NOUN
ejpam-1175	590	3	and	and	CCONJ
ejpam-1175	590	4	elliptic	elliptic	ADJ
ejpam-1175	590	5	equations	equation	NOUN
ejpam-1175	590	6	,	,	PUNCT
ejpam-1175	590	7	47(8	47(8	NOUN
ejpam-1175	590	8	):	):	PUNCT
ejpam-1175	590	9	707–718	707–718	NUM
ejpam-1175	590	10	,	,	PUNCT
ejpam-1175	590	11	2002	2002	NUM
ejpam-1175	590	12	.	.	PUNCT
ejpam-1175	591	1	[	[	X
ejpam-1175	591	2	17	17	NUM
ejpam-1175	591	3	]	]	X
ejpam-1175	591	4	j.	j.	PROPN
ejpam-1175	591	5	m.	m.	PROPN
ejpam-1175	591	6	rassias	rassias	PROPN
ejpam-1175	591	7	and	and	CCONJ
ejpam-1175	591	8	g.	g.	PROPN
ejpam-1175	591	9	c.	c.	PROPN
ejpam-1175	591	10	wen	wen	PROPN
ejpam-1175	591	11	.	.	PROPN
ejpam-1175	592	1	solvability	solvability	NOUN
ejpam-1175	592	2	of	of	ADP
ejpam-1175	592	3	the	the	DET
ejpam-1175	592	4	oblique	oblique	ADJ
ejpam-1175	592	5	derivative	derivative	ADJ
ejpam-1175	592	6	problem	problem	NOUN
ejpam-1175	592	7	for	for	ADP
ejpam-1175	592	8	second	second	ADJ
ejpam-1175	592	9	order	order	NOUN
ejpam-1175	592	10	equations	equation	NOUN
ejpam-1175	592	11	of	of	ADP
ejpam-1175	592	12	mixed	mixed	ADJ
ejpam-1175	592	13	type	type	NOUN
ejpam-1175	592	14	with	with	ADP
ejpam-1175	592	15	nonsmooth	nonsmooth	ADJ
ejpam-1175	592	16	degenerate	degenerate	ADJ
ejpam-1175	592	17	curve	curve	NOUN
ejpam-1175	592	18	.	.	PUNCT
ejpam-1175	593	1	intern	intern	PROPN
ejpam-1175	593	2	.	.	PUNCT
ejpam-1175	594	1	j.	j.	PROPN
ejpam-1175	594	2	appl	appl	PROPN
ejpam-1175	594	3	.	.	PROPN
ejpam-1175	594	4	math	math	PROPN
ejpam-1175	594	5	.	.	PUNCT
ejpam-1175	595	1	stat	stat	PROPN
ejpam-1175	595	2	.	.	PUNCT
ejpam-1175	595	3	,	,	PUNCT
ejpam-1175	595	4	8(m07	8(m07	NUM
ejpam-1175	595	5	):	):	PUNCT
ejpam-1175	595	6	96–111	96–111	PROPN
ejpam-1175	595	7	,	,	PUNCT
ejpam-1175	595	8	2007	2007	NUM
ejpam-1175	595	9	.	.	PUNCT
ejpam-1175	596	1	[	[	X
ejpam-1175	596	2	18	18	NUM
ejpam-1175	596	3	]	]	X
ejpam-1175	596	4	r.	r.	PROPN
ejpam-1175	596	5	i.	i.	PROPN
ejpam-1175	596	6	semerdjieva	semerdjieva	PROPN
ejpam-1175	596	7	.	.	PUNCT
ejpam-1175	597	1	uniqueness	uniqueness	NOUN
ejpam-1175	597	2	of	of	ADP
ejpam-1175	597	3	regular	regular	ADJ
ejpam-1175	597	4	solutions	solution	NOUN
ejpam-1175	597	5	for	for	ADP
ejpam-1175	597	6	a	a	DET
ejpam-1175	597	7	class	class	NOUN
ejpam-1175	597	8	of	of	ADP
ejpam-1175	597	9	non	non	ADJ
ejpam-1175	597	10	-	-	ADJ
ejpam-1175	597	11	linear	linear	ADJ
ejpam-1175	597	12	degenerating	degenerating	ADJ
ejpam-1175	597	13	hyperbolic	hyperbolic	ADJ
ejpam-1175	597	14	equations	equation	NOUN
ejpam-1175	597	15	.	.	PUNCT
ejpam-1175	598	1	math	math	NOUN
ejpam-1175	598	2	.	.	PUNCT
ejpam-1175	599	1	balk	balk	VERB
ejpam-1175	599	2	.	.	PUNCT
ejpam-1175	599	3	,	,	PUNCT
ejpam-1175	599	4	7	7	NUM
ejpam-1175	599	5	:	:	PUNCT
ejpam-1175	599	6	277–283	277–283	NUM
ejpam-1175	599	7	,	,	PUNCT
ejpam-1175	599	8	1993	1993	NUM
ejpam-1175	599	9	.	.	PUNCT
ejpam-1175	600	1	[	[	X
ejpam-1175	600	2	19	19	NUM
ejpam-1175	600	3	]	]	X
ejpam-1175	600	4	f.	f.	PROPN
ejpam-1175	600	5	g.	g.	PROPN
ejpam-1175	600	6	tricomi	tricomi	PROPN
ejpam-1175	600	7	.	.	PUNCT
ejpam-1175	601	1	sulle	sulle	PROPN
ejpam-1175	601	2	equazioni	equazioni	PROPN
ejpam-1175	601	3	lineari	lineari	PROPN
ejpam-1175	601	4	alle	alle	PROPN
ejpam-1175	601	5	parziali	parziali	PROPN
ejpam-1175	601	6	di	di	PROPN
ejpam-1175	601	7	20	20	NUM
ejpam-1175	601	8	ordine	ordine	NOUN
ejpam-1175	601	9	di	di	PROPN
ejpam-1175	601	10	tipo	tipo	PROPN
ejpam-1175	601	11	misto	misto	PROPN
ejpam-1175	601	12	.	.	PROPN
ejpam-1175	601	13	atti	atti	PROPN
ejpam-1175	601	14	accad	accad	PROPN
ejpam-1175	601	15	.	.	PUNCT
ejpam-1175	602	1	naz	naz	PROPN
ejpam-1175	602	2	.	.	PUNCT
ejpam-1175	603	1	lincei	lincei	NOUN
ejpam-1175	603	2	,	,	PUNCT
ejpam-1175	603	3	14	14	NUM
ejpam-1175	603	4	:	:	SYM
ejpam-1175	603	5	133–247	133–247	NUM
ejpam-1175	603	6	,	,	PUNCT
ejpam-1175	603	7	1923	1923	NUM
ejpam-1175	603	8	.	.	PUNCT
ejpam-1175	604	1	references	reference	NOUN
ejpam-1175	604	2	208	208	NUM
ejpam-1175	604	3	[	[	X
ejpam-1175	604	4	20	20	NUM
ejpam-1175	604	5	]	]	PUNCT
ejpam-1175	604	6	g.	g.	PROPN
ejpam-1175	604	7	c.	c.	PROPN
ejpam-1175	604	8	wen	wen	PROPN
ejpam-1175	604	9	.	.	PUNCT
ejpam-1175	605	1	the	the	DET
ejpam-1175	605	2	exterior	exterior	ADJ
ejpam-1175	605	3	tricomi	tricomi	NOUN
ejpam-1175	605	4	problem	problem	NOUN
ejpam-1175	605	5	for	for	ADP
ejpam-1175	605	6	generalized	generalized	ADJ
ejpam-1175	605	7	mixed	mixed	ADJ
ejpam-1175	605	8	equations	equation	NOUN
ejpam-1175	605	9	with	with	ADP
ejpam-1175	605	10	parabolic	parabolic	PROPN
ejpam-1175	605	11	degeneracy	degeneracy	PROPN
ejpam-1175	605	12	.	.	PUNCT
ejpam-1175	606	1	acta	acta	PROPN
ejpam-1175	606	2	math	math	PROPN
ejpam-1175	606	3	.	.	PUNCT
ejpam-1175	607	1	sinica	sinica	PROPN
ejpam-1175	607	2	,	,	PUNCT
ejpam-1175	607	3	english	english	ADJ
ejpam-1175	607	4	series	series	NOUN
ejpam-1175	607	5	,	,	PUNCT
ejpam-1175	607	6	22(5	22(5	NOUN
ejpam-1175	607	7	):	):	PUNCT
ejpam-1175	607	8	1385–1398	1385–1398	NUM
ejpam-1175	607	9	,	,	PUNCT
ejpam-1175	607	10	2006	2006	NUM
ejpam-1175	607	11	.	.	PUNCT
ejpam-1175	608	1	[	[	X
ejpam-1175	608	2	21	21	NUM
ejpam-1175	608	3	]	]	X
ejpam-1175	608	4	g.	g.	PROPN
ejpam-1175	608	5	c.	c.	PROPN
ejpam-1175	608	6	wen	wen	PROPN
ejpam-1175	608	7	.	.	PROPN
ejpam-1175	609	1	oblique	oblique	ADJ
ejpam-1175	609	2	derivative	derivative	ADJ
ejpam-1175	609	3	problems	problem	NOUN
ejpam-1175	609	4	for	for	ADP
ejpam-1175	609	5	general	general	ADJ
ejpam-1175	609	6	chaplygin	chaplygin	ADJ
ejpam-1175	609	7	-	-	PUNCT
ejpam-1175	609	8	rassias	rassias	PROPN
ejpam-1175	609	9	equations	equation	NOUN
ejpam-1175	609	10	with	with	ADP
ejpam-1175	609	11	nonsmooth	nonsmooth	ADJ
ejpam-1175	609	12	degenerate	degenerate	ADJ
ejpam-1175	609	13	line	line	NOUN
ejpam-1175	609	14	in	in	ADP
ejpam-1175	609	15	mixed	mixed	ADJ
ejpam-1175	609	16	domains	domain	NOUN
ejpam-1175	609	17	.	.	PUNCT
ejpam-1175	610	1	science	science	NOUN
ejpam-1175	610	2	in	in	ADP
ejpam-1175	610	3	china	china	PROPN
ejpam-1175	610	4	,	,	PUNCT
ejpam-1175	610	5	series	series	PROPN
ejpam-1175	610	6	a	a	PRON
ejpam-1175	610	7	:	:	PUNCT
ejpam-1175	610	8	mathematics	mathematic	NOUN
ejpam-1175	610	9	,	,	PUNCT
ejpam-1175	610	10	51(1	51(1	NUM
ejpam-1175	610	11	):	):	PUNCT
ejpam-1175	610	12	5–36	5–36	ADJ
ejpam-1175	610	13	,	,	PUNCT
ejpam-1175	610	14	2008	2008	NUM
ejpam-1175	610	15	.	.	PUNCT
ejpam-1175	611	1	[	[	X
ejpam-1175	611	2	22	22	NUM
ejpam-1175	611	3	]	]	X
ejpam-1175	611	4	g.	g.	PROPN
ejpam-1175	611	5	c.	c.	PROPN
ejpam-1175	611	6	wen	wen	PROPN
ejpam-1175	611	7	.	.	PUNCT
ejpam-1175	612	1	the	the	DET
ejpam-1175	612	2	tricomi	tricomi	NOUN
ejpam-1175	612	3	and	and	CCONJ
ejpam-1175	612	4	frankl	frankl	PROPN
ejpam-1175	612	5	problems	problem	NOUN
ejpam-1175	612	6	for	for	ADP
ejpam-1175	612	7	generalized	generalized	ADJ
ejpam-1175	612	8	chaplygin	chaplygin	ADJ
ejpam-1175	612	9	equations	equation	NOUN
ejpam-1175	612	10	in	in	ADP
ejpam-1175	612	11	multiply	multiply	ADV
ejpam-1175	612	12	connected	connect	VERB
ejpam-1175	612	13	domains	domain	NOUN
ejpam-1175	612	14	.	.	PUNCT
ejpam-1175	613	1	acta	acta	PROPN
ejpam-1175	613	2	math	math	PROPN
ejpam-1175	613	3	.	.	PUNCT
ejpam-1175	614	1	sinica	sinica	PROPN
ejpam-1175	614	2	,	,	PUNCT
ejpam-1175	614	3	english	english	ADJ
ejpam-1175	614	4	series	series	NOUN
ejpam-1175	614	5	,	,	PUNCT
ejpam-1175	614	6	24(11	24(11	NUM
ejpam-1175	614	7	):	):	PUNCT
ejpam-1175	614	8	1759–1774	1759–1774	NUM
ejpam-1175	614	9	,	,	PUNCT
ejpam-1175	614	10	2008	2008	NUM
ejpam-1175	614	11	.	.	PUNCT
ejpam-1175	615	1	[	[	X
ejpam-1175	615	2	23	23	NUM
ejpam-1175	615	3	]	]	X
ejpam-1175	615	4	g.	g.	PROPN
ejpam-1175	615	5	c.	c.	PROPN
ejpam-1175	615	6	wen	wen	PROPN
ejpam-1175	615	7	.	.	PROPN
ejpam-1175	616	1	oblique	oblique	ADJ
ejpam-1175	616	2	derivative	derivative	ADJ
ejpam-1175	616	3	problems	problem	NOUN
ejpam-1175	616	4	for	for	ADP
ejpam-1175	616	5	generalized	generalized	ADJ
ejpam-1175	616	6	rassias	rassias	PROPN
ejpam-1175	616	7	equations	equation	NOUN
ejpam-1175	616	8	of	of	ADP
ejpam-1175	616	9	mixed	mixed	ADJ
ejpam-1175	616	10	type	type	NOUN
ejpam-1175	616	11	with	with	ADP
ejpam-1175	616	12	several	several	ADJ
ejpam-1175	616	13	characteristic	characteristic	ADJ
ejpam-1175	616	14	boundaries	boundary	NOUN
ejpam-1175	616	15	.	.	PUNCT
ejpam-1175	617	1	electr	electr	PROPN
ejpam-1175	617	2	.	.	PUNCT
ejpam-1175	618	1	j.	j.	PROPN
ejpam-1175	618	2	diff	diff	PROPN
ejpam-1175	618	3	.	.	PUNCT
ejpam-1175	619	1	equations	equation	NOUN
ejpam-1175	619	2	,	,	PUNCT
ejpam-1175	619	3	2009(65	2009(65	NUM
ejpam-1175	619	4	):	):	PUNCT
ejpam-1175	619	5	1–16	1–16	NOUN
ejpam-1175	619	6	,	,	PUNCT
ejpam-1175	619	7	2009	2009	NUM
ejpam-1175	619	8	.	.	PUNCT
ejpam-1175	620	1	[	[	X
ejpam-1175	620	2	24	24	NUM
ejpam-1175	620	3	]	]	X
ejpam-1175	620	4	g.	g.	PROPN
ejpam-1175	620	5	c.	c.	PROPN
ejpam-1175	620	6	wen	wen	PROPN
ejpam-1175	620	7	.	.	PUNCT
ejpam-1175	621	1	elliptic	elliptic	ADJ
ejpam-1175	621	2	,	,	PUNCT
ejpam-1175	621	3	hyperbolic	hyperbolic	ADJ
ejpam-1175	621	4	and	and	CCONJ
ejpam-1175	621	5	mixed	mixed	ADJ
ejpam-1175	621	6	complex	complex	ADJ
ejpam-1175	621	7	equations	equation	NOUN
ejpam-1175	621	8	with	with	ADP
ejpam-1175	621	9	parabolic	parabolic	ADJ
ejpam-1175	621	10	degeneracy	degeneracy	NOUN
ejpam-1175	621	11	[	[	PUNCT
ejpam-1175	621	12	including	include	VERB
ejpam-1175	621	13	tricomi	tricomi	NOUN
ejpam-1175	621	14	-	-	PUNCT
ejpam-1175	621	15	bers	ber	NOUN
ejpam-1175	621	16	and	and	CCONJ
ejpam-1175	621	17	tricomi	tricomi	NOUN
ejpam-1175	621	18	-	-	PUNCT
ejpam-1175	621	19	frankl	frankl	PROPN
ejpam-1175	621	20	-	-	PUNCT
ejpam-1175	621	21	rassias	rassias	PROPN
ejpam-1175	621	22	problems	problem	NOUN
ejpam-1175	621	23	]	]	PUNCT
ejpam-1175	621	24	.	.	PUNCT
ejpam-1175	622	1	world	world	PROPN
ejpam-1175	622	2	scientific	scientific	PROPN
ejpam-1175	622	3	co.	co.	PROPN
ejpam-1175	622	4	pte	pte	PROPN
ejpam-1175	622	5	.	.	PROPN
ejpam-1175	622	6	ltd	ltd	PROPN
ejpam-1175	622	7	.	.	PROPN
ejpam-1175	622	8	,	,	PUNCT
ejpam-1175	622	9	singapore	singapore	PROPN
ejpam-1175	622	10	:	:	PUNCT
ejpam-1175	622	11	peking	peking	PROPN
ejpam-1175	622	12	university	university	PROPN
ejpam-1175	622	13	,	,	PUNCT
ejpam-1175	622	14	series	series	NOUN
ejpam-1175	622	15	in	in	ADP
ejpam-1175	622	16	mathematics	mathematic	NOUN
ejpam-1175	622	17	vol	vol	NOUN
ejpam-1175	622	18	.	.	PROPN
ejpam-1175	622	19	4	4	NUM
ejpam-1175	622	20	,	,	PUNCT
ejpam-1175	622	21	1–439	1–439	NUM
ejpam-1175	622	22	,	,	PUNCT
ejpam-1175	622	23	2008	2008	NUM
ejpam-1175	622	24	.	.	PUNCT
ejpam-1175	623	1	[	[	X
ejpam-1175	623	2	25	25	NUM
ejpam-1175	623	3	]	]	X
ejpam-1175	623	4	g.	g.	PROPN
ejpam-1175	623	5	c.	c.	PROPN
ejpam-1175	623	6	wen	wen	PROPN
ejpam-1175	623	7	and	and	CCONJ
ejpam-1175	623	8	h.	h.	PROPN
ejpam-1175	623	9	begehr	begehr	PROPN
ejpam-1175	623	10	.	.	PUNCT
ejpam-1175	624	1	boundary	boundary	ADJ
ejpam-1175	624	2	value	value	NOUN
ejpam-1175	624	3	problems	problem	NOUN
ejpam-1175	624	4	for	for	ADP
ejpam-1175	624	5	elliptic	elliptic	ADJ
ejpam-1175	624	6	equations	equation	NOUN
ejpam-1175	624	7	and	and	CCONJ
ejpam-1175	624	8	systems	system	NOUN
ejpam-1175	624	9	.	.	PUNCT
ejpam-1175	625	1	longman	longman	ADJ
ejpam-1175	625	2	scientific	scientific	ADJ
ejpam-1175	625	3	and	and	CCONJ
ejpam-1175	625	4	technical	technical	ADJ
ejpam-1175	625	5	company	company	NOUN
ejpam-1175	625	6	,	,	PUNCT
ejpam-1175	625	7	harlow	harlow	NOUN
ejpam-1175	625	8	,	,	PUNCT
ejpam-1175	625	9	1990	1990	NUM
ejpam-1175	625	10	.	.	PUNCT
ejpam-1175	626	1	[	[	X
ejpam-1175	626	2	26	26	NUM
ejpam-1175	626	3	]	]	X
ejpam-1175	626	4	g.	g.	PROPN
ejpam-1175	626	5	c.	c.	PROPN
ejpam-1175	626	6	wen	wen	PROPN
ejpam-1175	626	7	,	,	PUNCT
ejpam-1175	626	8	d.	d.	PROPN
ejpam-1175	626	9	c.	c.	PROPN
ejpam-1175	626	10	chen	chen	PROPN
ejpam-1175	626	11	and	and	CCONJ
ejpam-1175	626	12	x.	x.	PROPN
ejpam-1175	626	13	cheng	cheng	PROPN
ejpam-1175	626	14	.	.	PUNCT
ejpam-1175	627	1	general	general	ADJ
ejpam-1175	627	2	tricomi	tricomi	PROPN
ejpam-1175	627	3	-	-	PUNCT
ejpam-1175	627	4	rassias	rassias	PROPN
ejpam-1175	627	5	problem	problem	NOUN
ejpam-1175	627	6	and	and	CCONJ
ejpam-1175	627	7	oblique	oblique	ADJ
ejpam-1175	627	8	derivative	derivative	ADJ
ejpam-1175	627	9	problem	problem	NOUN
ejpam-1175	627	10	for	for	ADP
ejpam-1175	627	11	generalized	generalized	ADJ
ejpam-1175	627	12	chaplygin	chaplygin	NOUN
ejpam-1175	627	13	equation	equation	NOUN
ejpam-1175	627	14	.	.	PUNCT
ejpam-1175	628	1	j.	j.	PROPN
ejpam-1175	628	2	math	math	PROPN
ejpam-1175	628	3	.	.	PUNCT
ejpam-1175	629	1	anal	anal	PROPN
ejpam-1175	629	2	.	.	PUNCT
ejpam-1175	630	1	333	333	NUM
ejpam-1175	630	2	:	:	PUNCT
ejpam-1175	631	1	679–694	679–694	NUM
ejpam-1175	631	2	,	,	PUNCT
ejpam-1175	631	3	2007	2007	NUM
ejpam-1175	631	4	.	.	PUNCT
ejpam-1175	632	1	[	[	X
ejpam-1175	632	2	27	27	NUM
ejpam-1175	632	3	]	]	X
ejpam-1175	632	4	g.	g.	PROPN
ejpam-1175	632	5	c.	c.	PROPN
ejpam-1175	632	6	wen	wen	PROPN
ejpam-1175	632	7	and	and	CCONJ
ejpam-1175	632	8	d.	d.	PROPN
ejpam-1175	632	9	c.	c.	PROPN
ejpam-1175	632	10	chen	chen	PROPN
ejpam-1175	632	11	.	.	PUNCT
ejpam-1175	633	1	discontinuous	discontinuous	ADJ
ejpam-1175	633	2	riemann	riemann	PROPN
ejpam-1175	633	3	-	-	PUNCT
ejpam-1175	633	4	hilbert	hilbert	PROPN
ejpam-1175	633	5	problems	problem	NOUN
ejpam-1175	633	6	for	for	ADP
ejpam-1175	633	7	degenerate	degenerate	ADJ
ejpam-1175	633	8	elliptic	elliptic	ADJ
ejpam-1175	633	9	complex	complex	ADJ
ejpam-1175	633	10	equations	equation	NOUN
ejpam-1175	633	11	of	of	ADP
ejpam-1175	633	12	first	first	ADJ
ejpam-1175	633	13	order	order	NOUN
ejpam-1175	633	14	.	.	PUNCT
ejpam-1175	634	1	complex	complex	ADJ
ejpam-1175	634	2	variables	variable	NOUN
ejpam-1175	634	3	,	,	PUNCT
ejpam-1175	634	4	50	50	NUM
ejpam-1175	634	5	:	:	PUNCT
ejpam-1175	634	6	707–718	707–718	NUM
ejpam-1175	634	7	,	,	PUNCT
ejpam-1175	634	8	2005	2005	NUM
ejpam-1175	634	9	.	.	PUNCT
ejpam-1175	635	1	[	[	X
ejpam-1175	635	2	28	28	NUM
ejpam-1175	635	3	]	]	X
ejpam-1175	635	4	g.	g.	PROPN
ejpam-1175	635	5	c.	c.	PROPN
ejpam-1175	635	6	wen	wen	PROPN
ejpam-1175	635	7	and	and	CCONJ
ejpam-1175	635	8	z.	z.	PROPN
ejpam-1175	635	9	t.	t.	PROPN
ejpam-1175	635	10	ma	ma	PROPN
ejpam-1175	635	11	.	.	PROPN
ejpam-1175	635	12	discontinuous	discontinuous	ADJ
ejpam-1175	635	13	oblique	oblique	ADJ
ejpam-1175	635	14	derivative	derivative	ADJ
ejpam-1175	635	15	problem	problem	NOUN
ejpam-1175	635	16	for	for	ADP
ejpam-1175	635	17	second	second	ADJ
ejpam-1175	635	18	order	order	NOUN
ejpam-1175	635	19	equations	equation	NOUN
ejpam-1175	635	20	of	of	ADP
ejpam-1175	635	21	mixed	mixed	ADJ
ejpam-1175	635	22	type	type	NOUN
ejpam-1175	635	23	in	in	ADP
ejpam-1175	635	24	general	general	ADJ
ejpam-1175	635	25	domains	domain	NOUN
ejpam-1175	635	26	.	.	PUNCT
ejpam-1175	636	1	complex	complex	ADJ
ejpam-1175	636	2	variables	variable	NOUN
ejpam-1175	636	3	,	,	PUNCT
ejpam-1175	636	4	48(2	48(2	NUM
ejpam-1175	636	5	):	):	PUNCT
ejpam-1175	636	6	119–130	119–130	NUM
ejpam-1175	636	7	,	,	PUNCT
ejpam-1175	636	8	2003	2003	NUM
ejpam-1175	636	9	.	.	PUNCT