id	sid	tid	token	lemma	pos
ejpam-5503	1	1	european	european	PROPN
ejpam-5503	1	2	journal	journal	PROPN
ejpam-5503	1	3	of	of	ADP
ejpam-5503	1	4	pure	pure	ADJ
ejpam-5503	1	5	and	and	CCONJ
ejpam-5503	1	6	applied	applied	ADJ
ejpam-5503	1	7	mathematics	mathematic	NOUN
ejpam-5503	1	8	2025	2025	NUM
ejpam-5503	1	9	,	,	PUNCT
ejpam-5503	1	10	vol	vol	NOUN
ejpam-5503	1	11	.	.	PROPN
ejpam-5503	1	12	18	18	NUM
ejpam-5503	1	13	,	,	PUNCT
ejpam-5503	1	14	issue	issue	NOUN
ejpam-5503	1	15	1	1	NUM
ejpam-5503	1	16	,	,	PUNCT
ejpam-5503	1	17	article	article	NOUN
ejpam-5503	1	18	number	number	NOUN
ejpam-5503	1	19	5503	5503	NUM
ejpam-5503	1	20	issn	issn	VERB
ejpam-5503	1	21	1307	1307	NUM
ejpam-5503	1	22	-	-	SYM
ejpam-5503	1	23	5543	5543	NUM
ejpam-5503	1	24	–	–	PUNCT
ejpam-5503	1	25	ejpam.com	ejpam.com	X
ejpam-5503	1	26	published	publish	VERB
ejpam-5503	1	27	by	by	ADP
ejpam-5503	1	28	new	new	PROPN
ejpam-5503	1	29	york	york	PROPN
ejpam-5503	1	30	business	business	PROPN
ejpam-5503	1	31	global	global	PROPN
ejpam-5503	1	32	more	more	ADV
ejpam-5503	1	33	on	on	ADP
ejpam-5503	1	34	the	the	DET
ejpam-5503	1	35	order	order	NOUN
ejpam-5503	1	36	of	of	ADP
ejpam-5503	1	37	aragón	aragón	PROPN
ejpam-5503	1	38	artacho	artacho	ADJ
ejpam-5503	1	39	–	–	PUNCT
ejpam-5503	1	40	campoy	campoy	ADJ
ejpam-5503	1	41	algorithm	algorithm	NOUN
ejpam-5503	1	42	operators	operator	NOUN
ejpam-5503	1	43	with	with	ADP
ejpam-5503	1	44	the	the	DET
ejpam-5503	1	45	help	help	NOUN
ejpam-5503	1	46	of	of	ADP
ejpam-5503	1	47	douglas	douglas	PROPN
ejpam-5503	1	48	–	–	PUNCT
ejpam-5503	1	49	rachford	rachford	PROPN
ejpam-5503	1	50	operators	operator	NOUN
ejpam-5503	1	51	salihah	salihah	VERB
ejpam-5503	1	52	thabet	thabet	ADJ
ejpam-5503	1	53	alwadani	alwadani	ADJ
ejpam-5503	1	54	mathematics	mathematics	PROPN
ejpam-5503	1	55	,	,	PUNCT
ejpam-5503	1	56	yanbu	yanbu	PROPN
ejpam-5503	1	57	industrial	industrial	PROPN
ejpam-5503	1	58	college	college	PROPN
ejpam-5503	1	59	,	,	PUNCT
ejpam-5503	1	60	the	the	DET
ejpam-5503	1	61	royal	royal	ADJ
ejpam-5503	1	62	comission	comission	NOUN
ejpam-5503	1	63	for	for	ADP
ejpam-5503	1	64	jubail	jubail	PROPN
ejpam-5503	1	65	and	and	CCONJ
ejpam-5503	1	66	yanbu	yanbu	ADJ
ejpam-5503	1	67	,	,	PUNCT
ejpam-5503	1	68	yanbu	yanbu	ADJ
ejpam-5503	1	69	,	,	PUNCT
ejpam-5503	1	70	saudi	saudi	PROPN
ejpam-5503	1	71	arabia	arabia	PROPN
ejpam-5503	1	72	abstract	abstract	NOUN
ejpam-5503	1	73	.	.	PUNCT
ejpam-5503	2	1	the	the	DET
ejpam-5503	2	2	aragón	aragón	PROPN
ejpam-5503	2	3	artacho	artacho	ADJ
ejpam-5503	2	4	–	–	PUNCT
ejpam-5503	2	5	campoy	campoy	ADJ
ejpam-5503	2	6	algorithm	algorithm	NOUN
ejpam-5503	2	7	(	(	PUNCT
ejpam-5503	2	8	aaca	aaca	PROPN
ejpam-5503	2	9	)	)	PUNCT
ejpam-5503	2	10	is	be	AUX
ejpam-5503	2	11	a	a	DET
ejpam-5503	2	12	new	new	ADJ
ejpam-5503	2	13	method	method	NOUN
ejpam-5503	2	14	for	for	ADP
ejpam-5503	2	15	finding	find	VERB
ejpam-5503	2	16	zeros	zero	NOUN
ejpam-5503	2	17	of	of	ADP
ejpam-5503	2	18	sums	sum	NOUN
ejpam-5503	2	19	of	of	ADP
ejpam-5503	2	20	monotone	monotone	ADJ
ejpam-5503	2	21	operators	operator	NOUN
ejpam-5503	2	22	.	.	PUNCT
ejpam-5503	3	1	in	in	ADP
ejpam-5503	3	2	this	this	DET
ejpam-5503	3	3	paper	paper	NOUN
ejpam-5503	3	4	we	we	PRON
ejpam-5503	3	5	complete	complete	VERB
ejpam-5503	3	6	the	the	DET
ejpam-5503	3	7	analysis	analysis	NOUN
ejpam-5503	3	8	of	of	ADP
ejpam-5503	3	9	their	their	PRON
ejpam-5503	3	10	algorithm	algorithm	NOUN
ejpam-5503	3	11	by	by	ADP
ejpam-5503	3	12	defining	define	VERB
ejpam-5503	3	13	their	their	PRON
ejpam-5503	3	14	operator	operator	NOUN
ejpam-5503	3	15	using	use	VERB
ejpam-5503	3	16	douglas	douglas	PROPN
ejpam-5503	3	17	rachford	rachford	PROPN
ejpam-5503	3	18	operator	operator	NOUN
ejpam-5503	3	19	and	and	CCONJ
ejpam-5503	3	20	then	then	ADV
ejpam-5503	3	21	study	study	VERB
ejpam-5503	3	22	the	the	DET
ejpam-5503	3	23	effects	effect	NOUN
ejpam-5503	3	24	of	of	ADP
ejpam-5503	3	25	the	the	DET
ejpam-5503	3	26	order	order	NOUN
ejpam-5503	3	27	of	of	ADP
ejpam-5503	3	28	the	the	DET
ejpam-5503	3	29	two	two	NUM
ejpam-5503	3	30	possible	possible	ADJ
ejpam-5503	3	31	aragón	aragón	NOUN
ejpam-5503	3	32	artacho	artacho	ADJ
ejpam-5503	3	33	–	–	PUNCT
ejpam-5503	3	34	campoy	campoy	ADJ
ejpam-5503	3	35	operators	operator	NOUN
ejpam-5503	3	36	.	.	PUNCT
ejpam-5503	4	1	2020	2020	NUM
ejpam-5503	4	2	mathematics	mathematic	NOUN
ejpam-5503	4	3	subject	subject	NOUN
ejpam-5503	4	4	classifications	classification	NOUN
ejpam-5503	4	5	:	:	PUNCT
ejpam-5503	4	6	47h09	47h09	NUM
ejpam-5503	4	7	,	,	PUNCT
ejpam-5503	4	8	47h05	47h05	NUM
ejpam-5503	4	9	,	,	PUNCT
ejpam-5503	4	10	47a06	47a06	NUM
ejpam-5503	4	11	,	,	PUNCT
ejpam-5503	4	12	90c25	90c25	NUM
ejpam-5503	4	13	key	key	ADJ
ejpam-5503	4	14	words	word	NOUN
ejpam-5503	4	15	and	and	CCONJ
ejpam-5503	4	16	phrases	phrase	NOUN
ejpam-5503	4	17	:	:	PUNCT
ejpam-5503	4	18	maximally	maximally	ADV
ejpam-5503	4	19	monotone	monotone	ADJ
ejpam-5503	4	20	operator	operator	NOUN
ejpam-5503	4	21	,	,	PUNCT
ejpam-5503	4	22	aragón	aragón	ADV
ejpam-5503	4	23	artacho	artacho	ADJ
ejpam-5503	4	24	–	–	PUNCT
ejpam-5503	4	25	campoy	campoy	ADJ
ejpam-5503	4	26	operators	operator	NOUN
ejpam-5503	4	27	,	,	PUNCT
ejpam-5503	4	28	affine	affine	NOUN
ejpam-5503	4	29	subspace	subspace	PROPN
ejpam-5503	4	30	,	,	PUNCT
ejpam-5503	4	31	douglas	douglas	PROPN
ejpam-5503	4	32	-	-	PUNCT
ejpam-5503	4	33	rachford	rachford	ADJ
ejpam-5503	4	34	splitting	splitting	NOUN
ejpam-5503	4	35	operator	operator	NOUN
ejpam-5503	4	36	,	,	PUNCT
ejpam-5503	4	37	projection	projection	NOUN
ejpam-5503	4	38	operator	operator	NOUN
ejpam-5503	4	39	,	,	PUNCT
ejpam-5503	4	40	resolvent	resolvent	NOUN
ejpam-5503	4	41	,	,	PUNCT
ejpam-5503	4	42	reflected	reflect	VERB
ejpam-5503	4	43	resolvent	resolvent	ADJ
ejpam-5503	4	44	1	1	NUM
ejpam-5503	4	45	.	.	PUNCT
ejpam-5503	5	1	introduction	introduction	NOUN
ejpam-5503	5	2	throughout	throughout	ADV
ejpam-5503	5	3	,	,	PUNCT
ejpam-5503	5	4	we	we	PRON
ejpam-5503	5	5	assume	assume	VERB
ejpam-5503	5	6	that	that	SCONJ
ejpam-5503	5	7	x	x	PRON
ejpam-5503	5	8	is	be	AUX
ejpam-5503	5	9	a	a	DET
ejpam-5503	5	10	real	real	ADJ
ejpam-5503	5	11	hilbert	hilbert	NOUN
ejpam-5503	5	12	space	space	NOUN
ejpam-5503	5	13	with	with	ADP
ejpam-5503	5	14	inner	inner	ADJ
ejpam-5503	5	15	product	product	NOUN
ejpam-5503	5	16	⟨	⟨	VERB
ejpam-5503	5	17	·	·	PUNCT
ejpam-5503	5	18	,	,	PUNCT
ejpam-5503	5	19	·	·	PUNCT
ejpam-5503	5	20	⟩	⟩	NOUN
ejpam-5503	5	21	:	:	PUNCT
ejpam-5503	5	22	x	x	PUNCT
ejpam-5503	5	23	×	×	NOUN
ejpam-5503	5	24	x	x	INTJ
ejpam-5503	5	25	→	→	SYM
ejpam-5503	5	26	r	r	NOUN
ejpam-5503	5	27	,	,	PUNCT
ejpam-5503	5	28	(	(	PUNCT
ejpam-5503	5	29	1	1	NUM
ejpam-5503	5	30	)	)	PUNCT
ejpam-5503	5	31	and	and	CCONJ
ejpam-5503	5	32	induced	induce	VERB
ejpam-5503	5	33	norm	norm	NOUN
ejpam-5503	5	34	∥	∥	X
ejpam-5503	5	35	·	·	PUNCT
ejpam-5503	5	36	∥	∥	X
ejpam-5503	5	37	:	:	PUNCT
ejpam-5503	6	1	x	x	X
ejpam-5503	6	2	→	→	PUNCT
ejpam-5503	6	3	r	r	NOUN
ejpam-5503	6	4	:	:	PUNCT
ejpam-5503	6	5	x	x	SYM
ejpam-5503	6	6	7→	7→	NUM
ejpam-5503	6	7	√	√	NUM
ejpam-5503	6	8	⟨x	⟨x	NUM
ejpam-5503	6	9	,	,	PUNCT
ejpam-5503	6	10	x⟩.	x⟩.	PROPN
ejpam-5503	6	11	we	we	PRON
ejpam-5503	6	12	also	also	ADV
ejpam-5503	6	13	assume	assume	VERB
ejpam-5503	6	14	that	that	SCONJ
ejpam-5503	6	15	a	a	DET
ejpam-5503	6	16	:	:	PUNCT
ejpam-5503	6	17	x	x	SYM
ejpam-5503	6	18	⇒	⇒	NOUN
ejpam-5503	6	19	x	x	X
ejpam-5503	6	20	and	and	CCONJ
ejpam-5503	6	21	b	b	NOUN
ejpam-5503	6	22	:	:	PUNCT
ejpam-5503	6	23	x	x	SYM
ejpam-5503	6	24	⇒	⇒	NOUN
ejpam-5503	6	25	x	x	PUNCT
ejpam-5503	6	26	are	be	AUX
ejpam-5503	6	27	maximally	maximally	ADV
ejpam-5503	6	28	monotone	monotone	ADJ
ejpam-5503	6	29	operators	operator	NOUN
ejpam-5503	6	30	.	.	PUNCT
ejpam-5503	7	1	for	for	ADP
ejpam-5503	7	2	more	more	ADJ
ejpam-5503	7	3	details	detail	NOUN
ejpam-5503	7	4	about	about	ADP
ejpam-5503	7	5	maximally	maximally	ADV
ejpam-5503	7	6	monotone	monotone	ADJ
ejpam-5503	7	7	operators	operator	NOUN
ejpam-5503	7	8	,	,	PUNCT
ejpam-5503	7	9	we	we	PRON
ejpam-5503	7	10	refer	refer	VERB
ejpam-5503	7	11	the	the	DET
ejpam-5503	7	12	reader	reader	NOUN
ejpam-5503	7	13	to	to	ADP
ejpam-5503	7	14	[	[	X
ejpam-5503	7	15	3	3	NUM
ejpam-5503	7	16	]	]	PUNCT
ejpam-5503	7	17	,	,	PUNCT
ejpam-5503	7	18	[	[	X
ejpam-5503	7	19	4	4	NUM
ejpam-5503	7	20	]	]	PUNCT
ejpam-5503	7	21	,	,	PUNCT
ejpam-5503	7	22	[	[	X
ejpam-5503	7	23	9	9	NUM
ejpam-5503	7	24	]	]	PUNCT
ejpam-5503	7	25	,	,	PUNCT
ejpam-5503	7	26	[	[	X
ejpam-5503	7	27	10	10	NUM
ejpam-5503	7	28	]	]	PUNCT
ejpam-5503	7	29	,	,	PUNCT
ejpam-5503	7	30	[	[	X
ejpam-5503	7	31	11	11	NUM
ejpam-5503	7	32	]	]	PUNCT
ejpam-5503	7	33	,	,	PUNCT
ejpam-5503	7	34	[	[	X
ejpam-5503	7	35	12	12	NUM
ejpam-5503	7	36	]	]	PUNCT
ejpam-5503	7	37	,	,	PUNCT
ejpam-5503	7	38	[	[	X
ejpam-5503	7	39	14	14	NUM
ejpam-5503	7	40	]	]	PUNCT
ejpam-5503	7	41	,	,	PUNCT
ejpam-5503	7	42	[	[	X
ejpam-5503	7	43	15	15	NUM
ejpam-5503	7	44	]	]	PUNCT
ejpam-5503	7	45	,	,	PUNCT
ejpam-5503	7	46	and	and	CCONJ
ejpam-5503	7	47	the	the	DET
ejpam-5503	7	48	references	reference	NOUN
ejpam-5503	7	49	therein	therein	ADV
ejpam-5503	7	50	.	.	PUNCT
ejpam-5503	8	1	in	in	ADP
ejpam-5503	8	2	[	[	X
ejpam-5503	8	3	3	3	NUM
ejpam-5503	8	4	]	]	PUNCT
ejpam-5503	8	5	,	,	PUNCT
ejpam-5503	8	6	auslender	auslender	NOUN
ejpam-5503	8	7	and	and	CCONJ
ejpam-5503	8	8	teboulle	teboulle	NOUN
ejpam-5503	8	9	provide	provide	VERB
ejpam-5503	8	10	essential	essential	ADJ
ejpam-5503	8	11	tools	tool	NOUN
ejpam-5503	8	12	used	use	VERB
ejpam-5503	8	13	to	to	PART
ejpam-5503	8	14	study	study	VERB
ejpam-5503	8	15	monotone	monotone	ADJ
ejpam-5503	8	16	graphs	graph	NOUN
ejpam-5503	8	17	.	.	PUNCT
ejpam-5503	9	1	they	they	PRON
ejpam-5503	9	2	focus	focus	VERB
ejpam-5503	9	3	on	on	ADP
ejpam-5503	9	4	the	the	DET
ejpam-5503	9	5	behavior	behavior	NOUN
ejpam-5503	9	6	of	of	ADP
ejpam-5503	9	7	a	a	DET
ejpam-5503	9	8	given	give	VERB
ejpam-5503	9	9	subset	subset	NOUN
ejpam-5503	9	10	of	of	ADP
ejpam-5503	9	11	rn	rn	PROPN
ejpam-5503	9	12	at	at	ADP
ejpam-5503	9	13	infinity	infinity	NOUN
ejpam-5503	9	14	.	.	PUNCT
ejpam-5503	10	1	by	by	ADP
ejpam-5503	10	2	using	use	VERB
ejpam-5503	10	3	real	real	ADJ
ejpam-5503	10	4	analysis	analysis	NOUN
ejpam-5503	10	5	and	and	CCONJ
ejpam-5503	10	6	geometric	geometric	ADJ
ejpam-5503	10	7	concepts	concept	NOUN
ejpam-5503	10	8	,	,	PUNCT
ejpam-5503	10	9	they	they	PRON
ejpam-5503	10	10	develop	develop	VERB
ejpam-5503	10	11	a	a	DET
ejpam-5503	10	12	mathematical	mathematical	ADJ
ejpam-5503	10	13	treatment	treatment	NOUN
ejpam-5503	10	14	to	to	PART
ejpam-5503	10	15	study	study	VERB
ejpam-5503	10	16	the	the	DET
ejpam-5503	10	17	asymptotic	asymptotic	ADJ
ejpam-5503	10	18	behavior	behavior	NOUN
ejpam-5503	10	19	of	of	ADP
ejpam-5503	10	20	sets	set	NOUN
ejpam-5503	10	21	.	.	PUNCT
ejpam-5503	11	1	moreover	moreover	ADV
ejpam-5503	11	2	,	,	PUNCT
ejpam-5503	11	3	the	the	DET
ejpam-5503	11	4	book	book	NOUN
ejpam-5503	11	5	by	by	ADP
ejpam-5503	11	6	bauschke	bauschke	NOUN
ejpam-5503	11	7	and	and	CCONJ
ejpam-5503	11	8	combettes	combette	VERB
ejpam-5503	11	9	[	[	X
ejpam-5503	11	10	4	4	X
ejpam-5503	11	11	]	]	PUNCT
ejpam-5503	11	12	is	be	AUX
ejpam-5503	11	13	one	one	NUM
ejpam-5503	11	14	of	of	ADP
ejpam-5503	11	15	the	the	DET
ejpam-5503	11	16	best	good	ADJ
ejpam-5503	11	17	sources	source	NOUN
ejpam-5503	11	18	to	to	PART
ejpam-5503	11	19	learn	learn	VERB
ejpam-5503	11	20	about	about	ADP
ejpam-5503	11	21	non	non	ADJ
ejpam-5503	11	22	-	-	ADJ
ejpam-5503	11	23	linear	linear	ADJ
ejpam-5503	11	24	analysis	analysis	NOUN
ejpam-5503	11	25	,	,	PUNCT
ejpam-5503	11	26	namely	namely	ADV
ejpam-5503	11	27	,	,	PUNCT
ejpam-5503	11	28	convex	convex	ADJ
ejpam-5503	11	29	analysis	analysis	NOUN
ejpam-5503	11	30	,	,	PUNCT
ejpam-5503	11	31	monotone	monotone	ADJ
ejpam-5503	11	32	operators	operator	NOUN
ejpam-5503	11	33	,	,	PUNCT
ejpam-5503	11	34	and	and	CCONJ
ejpam-5503	11	35	fixed	fix	VERB
ejpam-5503	11	36	point	point	NOUN
ejpam-5503	11	37	theory	theory	NOUN
ejpam-5503	11	38	of	of	ADP
ejpam-5503	11	39	operators	operator	NOUN
ejpam-5503	11	40	.	.	PUNCT
ejpam-5503	12	1	additionally	additionally	ADV
ejpam-5503	12	2	,	,	PUNCT
ejpam-5503	12	3	[	[	X
ejpam-5503	12	4	9	9	NUM
ejpam-5503	12	5	]	]	PUNCT
ejpam-5503	12	6	highlights	highlight	VERB
ejpam-5503	12	7	the	the	DET
ejpam-5503	12	8	importance	importance	NOUN
ejpam-5503	12	9	of	of	ADP
ejpam-5503	12	10	maximal	maximal	ADJ
ejpam-5503	12	11	monotone	monotone	ADJ
ejpam-5503	12	12	operators	operator	NOUN
ejpam-5503	12	13	and	and	CCONJ
ejpam-5503	12	14	describes	describe	VERB
ejpam-5503	12	15	the	the	DET
ejpam-5503	12	16	progress	progress	NOUN
ejpam-5503	12	17	that	that	PRON
ejpam-5503	12	18	has	have	AUX
ejpam-5503	12	19	been	be	AUX
ejpam-5503	12	20	made	make	VERB
ejpam-5503	12	21	in	in	ADP
ejpam-5503	12	22	the	the	DET
ejpam-5503	12	23	field	field	NOUN
ejpam-5503	12	24	of	of	ADP
ejpam-5503	12	25	monotone	monotone	ADJ
ejpam-5503	12	26	operators	operator	NOUN
ejpam-5503	12	27	over	over	ADP
ejpam-5503	12	28	the	the	DET
ejpam-5503	12	29	past	past	ADJ
ejpam-5503	12	30	decade	decade	NOUN
ejpam-5503	12	31	.	.	PUNCT
ejpam-5503	13	1	furthermore	furthermore	ADV
ejpam-5503	13	2	,	,	PUNCT
ejpam-5503	13	3	[	[	X
ejpam-5503	13	4	10	10	NUM
ejpam-5503	13	5	]	]	PUNCT
ejpam-5503	13	6	provides	provide	VERB
ejpam-5503	13	7	a	a	DET
ejpam-5503	13	8	survey	survey	NOUN
ejpam-5503	13	9	that	that	PRON
ejpam-5503	13	10	discusses	discuss	VERB
ejpam-5503	13	11	the	the	DET
ejpam-5503	13	12	developments	development	NOUN
ejpam-5503	13	13	in	in	ADP
ejpam-5503	13	14	the	the	DET
ejpam-5503	13	15	theory	theory	NOUN
ejpam-5503	13	16	of	of	ADP
ejpam-5503	13	17	monotone	monotone	ADJ
ejpam-5503	13	18	operators	operator	NOUN
ejpam-5503	13	19	.	.	PUNCT
ejpam-5503	14	1	it	it	PRON
ejpam-5503	14	2	doi	doi	VERB
ejpam-5503	14	3	:	:	PUNCT
ejpam-5503	14	4	https://doi.org/10.29020/nybg.ejpam.v18i1.5503	https://doi.org/10.29020/nybg.ejpam.v18i1.5503	ADJ
ejpam-5503	14	5	email	email	NOUN
ejpam-5503	14	6	address	address	NOUN
ejpam-5503	14	7	:	:	PUNCT
ejpam-5503	14	8	salihah.s.alwadani@gmail.com	salihah.s.alwadani@gmail.com	PROPN
ejpam-5503	14	9	(	(	PUNCT
ejpam-5503	14	10	s.	s.	PROPN
ejpam-5503	14	11	th	th	PROPN
ejpam-5503	14	12	.	.	PUNCT
ejpam-5503	14	13	alwadani	alwadani	PROPN
ejpam-5503	14	14	)	)	PUNCT
ejpam-5503	14	15	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5503	15	1	1	1	NUM
ejpam-5503	15	2	copyright	copyright	NOUN
ejpam-5503	15	3	:	:	PUNCT
ejpam-5503	15	4	©	©	PROPN
ejpam-5503	15	5	2025	2025	NUM
ejpam-5503	15	6	the	the	DET
ejpam-5503	15	7	author(s	author(s	NOUN
ejpam-5503	15	8	)	)	PUNCT
ejpam-5503	15	9	.	.	PUNCT
ejpam-5503	16	1	(	(	PUNCT
ejpam-5503	16	2	cc	cc	NOUN
ejpam-5503	16	3	by	by	ADP
ejpam-5503	16	4	-	-	PUNCT
ejpam-5503	16	5	nc	nc	PROPN
ejpam-5503	16	6	4.0	4.0	NUM
ejpam-5503	16	7	)	)	PUNCT
ejpam-5503	16	8	s.	s.	PROPN
ejpam-5503	16	9	th	th	PROPN
ejpam-5503	16	10	.	.	PUNCT
ejpam-5503	17	1	alwadani	alwadani	PROPN
ejpam-5503	17	2	/	/	SYM
ejpam-5503	17	3	eur	eur	PROPN
ejpam-5503	17	4	.	.	PUNCT
ejpam-5503	18	1	j.	j.	PROPN
ejpam-5503	18	2	pure	pure	PROPN
ejpam-5503	18	3	appl	appl	PROPN
ejpam-5503	18	4	.	.	PROPN
ejpam-5503	18	5	math	math	PROPN
ejpam-5503	18	6	,	,	PUNCT
ejpam-5503	18	7	18	18	NUM
ejpam-5503	18	8	(	(	PUNCT
ejpam-5503	18	9	1	1	NUM
ejpam-5503	18	10	)	)	PUNCT
ejpam-5503	18	11	(	(	PUNCT
ejpam-5503	18	12	2025	2025	NUM
ejpam-5503	18	13	)	)	PUNCT
ejpam-5503	18	14	,	,	PUNCT
ejpam-5503	18	15	5503	5503	NUM
ejpam-5503	18	16	2	2	NUM
ejpam-5503	18	17	of	of	ADP
ejpam-5503	18	18	16	16	NUM
ejpam-5503	18	19	is	be	AUX
ejpam-5503	18	20	well	well	ADV
ejpam-5503	18	21	known	know	VERB
ejpam-5503	18	22	that	that	SCONJ
ejpam-5503	18	23	a	a	DET
ejpam-5503	18	24	prominent	prominent	ADJ
ejpam-5503	18	25	example	example	NOUN
ejpam-5503	18	26	of	of	ADP
ejpam-5503	18	27	maximal	maximal	ADJ
ejpam-5503	18	28	monotone	monotone	ADJ
ejpam-5503	18	29	operators	operator	NOUN
ejpam-5503	18	30	is	be	AUX
ejpam-5503	18	31	the	the	DET
ejpam-5503	18	32	subdifferential	subdifferential	ADJ
ejpam-5503	18	33	operator	operator	NOUN
ejpam-5503	18	34	,	,	PUNCT
ejpam-5503	18	35	which	which	PRON
ejpam-5503	18	36	was	be	AUX
ejpam-5503	18	37	investigated	investigate	VERB
ejpam-5503	18	38	in	in	ADP
ejpam-5503	18	39	section	section	NOUN
ejpam-5503	18	40	5.1.6	5.1.6	NUM
ejpam-5503	18	41	of	of	ADP
ejpam-5503	18	42	[	[	X
ejpam-5503	18	43	11	11	NUM
ejpam-5503	18	44	]	]	PUNCT
ejpam-5503	18	45	.	.	PUNCT
ejpam-5503	19	1	moreover	moreover	ADV
ejpam-5503	19	2	,	,	PUNCT
ejpam-5503	19	3	burachik	burachik	PROPN
ejpam-5503	19	4	and	and	CCONJ
ejpam-5503	19	5	svaiter	svaiter	NOUN
ejpam-5503	19	6	establish	establish	VERB
ejpam-5503	19	7	new	new	ADJ
ejpam-5503	19	8	connections	connection	NOUN
ejpam-5503	19	9	between	between	ADP
ejpam-5503	19	10	maximal	maximal	ADJ
ejpam-5503	19	11	monotone	monotone	ADJ
ejpam-5503	19	12	operators	operator	NOUN
ejpam-5503	19	13	and	and	CCONJ
ejpam-5503	19	14	convex	convex	NOUN
ejpam-5503	19	15	functions	function	NOUN
ejpam-5503	19	16	.	.	PUNCT
ejpam-5503	20	1	they	they	PRON
ejpam-5503	20	2	demonstrate	demonstrate	VERB
ejpam-5503	20	3	that	that	SCONJ
ejpam-5503	20	4	each	each	DET
ejpam-5503	20	5	maximal	maximal	ADJ
ejpam-5503	20	6	monotone	monotone	NOUN
ejpam-5503	20	7	operator	operator	NOUN
ejpam-5503	20	8	is	be	AUX
ejpam-5503	20	9	associated	associate	VERB
ejpam-5503	20	10	with	with	ADP
ejpam-5503	20	11	a	a	DET
ejpam-5503	20	12	family	family	NOUN
ejpam-5503	20	13	of	of	ADP
ejpam-5503	20	14	convex	convex	NOUN
ejpam-5503	20	15	functions	function	NOUN
ejpam-5503	20	16	.	.	PUNCT
ejpam-5503	21	1	their	their	PRON
ejpam-5503	21	2	study	study	NOUN
ejpam-5503	21	3	focuses	focus	VERB
ejpam-5503	21	4	on	on	ADP
ejpam-5503	21	5	this	this	DET
ejpam-5503	21	6	family	family	NOUN
ejpam-5503	21	7	,	,	PUNCT
ejpam-5503	21	8	determining	determine	VERB
ejpam-5503	21	9	its	its	PRON
ejpam-5503	21	10	extremal	extremal	ADJ
ejpam-5503	21	11	elements	element	NOUN
ejpam-5503	21	12	using	use	VERB
ejpam-5503	21	13	the	the	DET
ejpam-5503	21	14	concept	concept	NOUN
ejpam-5503	21	15	of	of	ADP
ejpam-5503	21	16	convex	convex	NOUN
ejpam-5503	21	17	functions	function	NOUN
ejpam-5503	21	18	(	(	PUNCT
ejpam-5503	21	19	see	see	VERB
ejpam-5503	21	20	[	[	X
ejpam-5503	21	21	12	12	NUM
ejpam-5503	21	22	]	]	PUNCT
ejpam-5503	21	23	)	)	PUNCT
ejpam-5503	21	24	.	.	PUNCT
ejpam-5503	22	1	following	follow	VERB
ejpam-5503	22	2	this	this	PRON
ejpam-5503	22	3	,	,	PUNCT
ejpam-5503	22	4	patrick	patrick	PROPN
ejpam-5503	22	5	reviews	review	VERB
ejpam-5503	22	6	the	the	DET
ejpam-5503	22	7	properties	property	NOUN
ejpam-5503	22	8	of	of	ADP
ejpam-5503	22	9	subdifferential	subdifferential	ADJ
ejpam-5503	22	10	operators	operator	NOUN
ejpam-5503	22	11	as	as	ADP
ejpam-5503	22	12	maximally	maximally	ADV
ejpam-5503	22	13	monotone	monotone	ADJ
ejpam-5503	22	14	operators	operator	NOUN
ejpam-5503	22	15	in	in	ADP
ejpam-5503	22	16	[	[	X
ejpam-5503	22	17	14	14	NUM
ejpam-5503	22	18	]	]	PUNCT
ejpam-5503	22	19	,	,	PUNCT
ejpam-5503	22	20	and	and	CCONJ
ejpam-5503	22	21	examines	examine	VERB
ejpam-5503	22	22	proximity	proximity	NOUN
ejpam-5503	22	23	operators	operator	NOUN
ejpam-5503	22	24	as	as	ADP
ejpam-5503	22	25	resolvents	resolvent	NOUN
ejpam-5503	22	26	of	of	ADP
ejpam-5503	22	27	these	these	DET
ejpam-5503	22	28	operators	operator	NOUN
ejpam-5503	22	29	.	.	PUNCT
ejpam-5503	23	1	additionally	additionally	ADV
ejpam-5503	23	2	,	,	PUNCT
ejpam-5503	23	3	in	in	ADP
ejpam-5503	23	4	[	[	PUNCT
ejpam-5503	23	5	15	15	NUM
ejpam-5503	23	6	]	]	X
ejpam-5503	23	7	,	,	PUNCT
ejpam-5503	23	8	a	a	DET
ejpam-5503	23	9	comprehensive	comprehensive	ADJ
ejpam-5503	23	10	treatment	treatment	NOUN
ejpam-5503	23	11	of	of	ADP
ejpam-5503	23	12	monotone	monotone	ADJ
ejpam-5503	23	13	set	set	NOUN
ejpam-5503	23	14	-	-	PUNCT
ejpam-5503	23	15	valued	value	VERB
ejpam-5503	23	16	operators	operator	NOUN
ejpam-5503	23	17	is	be	AUX
ejpam-5503	23	18	presented	present	VERB
ejpam-5503	23	19	,	,	PUNCT
ejpam-5503	23	20	utilizing	utilize	VERB
ejpam-5503	23	21	mathematical	mathematical	ADJ
ejpam-5503	23	22	programming	programming	NOUN
ejpam-5503	23	23	in	in	ADP
ejpam-5503	23	24	detail	detail	NOUN
ejpam-5503	23	25	.	.	PUNCT
ejpam-5503	24	1	the	the	DET
ejpam-5503	24	2	resolvent	resolvent	NOUN
ejpam-5503	24	3	and	and	CCONJ
ejpam-5503	24	4	the	the	DET
ejpam-5503	24	5	reflected	reflect	VERB
ejpam-5503	24	6	resolvent	resolvent	NOUN
ejpam-5503	24	7	associated	associate	VERB
ejpam-5503	24	8	with	with	ADP
ejpam-5503	24	9	a	a	DET
ejpam-5503	24	10	are	are	NOUN
ejpam-5503	24	11	:	:	PUNCT
ejpam-5503	24	12	ja	ja	PROPN
ejpam-5503	24	13	=	=	SYM
ejpam-5503	24	14	(	(	PUNCT
ejpam-5503	24	15	id+a)−1	id+a)−1	NOUN
ejpam-5503	24	16	and	and	CCONJ
ejpam-5503	24	17	ra	ra	NOUN
ejpam-5503	24	18	=	=	SYM
ejpam-5503	25	1	2ja	2ja	NOUN
ejpam-5503	25	2	−	−	PROPN
ejpam-5503	26	1	i	i	PROPN
ejpam-5503	26	2	d	d	PROPN
ejpam-5503	26	3	,	,	PUNCT
ejpam-5503	26	4	(	(	PUNCT
ejpam-5503	26	5	2	2	X
ejpam-5503	26	6	)	)	PUNCT
ejpam-5503	26	7	respectively	respectively	ADV
ejpam-5503	26	8	.	.	PUNCT
ejpam-5503	26	9	suppose	suppose	VERB
ejpam-5503	26	10	that	that	SCONJ
ejpam-5503	26	11	a	a	PRON
ejpam-5503	26	12	and	and	CCONJ
ejpam-5503	26	13	b	b	NOUN
ejpam-5503	26	14	are	be	AUX
ejpam-5503	26	15	maximally	maximally	ADV
ejpam-5503	26	16	monotone	monotone	ADJ
ejpam-5503	26	17	on	on	ADP
ejpam-5503	26	18	x	x	X
ejpam-5503	26	19	,	,	PUNCT
ejpam-5503	26	20	w	w	PROPN
ejpam-5503	26	21	∈	∈	PROPN
ejpam-5503	26	22	x	x	NOUN
ejpam-5503	26	23	,	,	PUNCT
ejpam-5503	26	24	and	and	CCONJ
ejpam-5503	26	25	γ	γ	X
ejpam-5503	26	26	∈	∈	PROPN
ejpam-5503	26	27	]	]	X
ejpam-5503	26	28	0	0	NUM
ejpam-5503	26	29	,	,	PUNCT
ejpam-5503	26	30	1	1	NUM
ejpam-5503	26	31	[	[	PUNCT
ejpam-5503	26	32	.	.	PUNCT
ejpam-5503	27	1	(	(	PUNCT
ejpam-5503	27	2	3	3	X
ejpam-5503	27	3	)	)	PUNCT
ejpam-5503	27	4	fact	fact	NOUN
ejpam-5503	27	5	1	1	NUM
ejpam-5503	27	6	.	.	PUNCT
ejpam-5503	28	1	the	the	DET
ejpam-5503	28	2	resolvent	resolvent	ADJ
ejpam-5503	28	3	averages	average	NOUN
ejpam-5503	28	4	between	between	ADP
ejpam-5503	28	5	a	a	DET
ejpam-5503	28	6	,	,	PUNCT
ejpam-5503	28	7	b	b	NOUN
ejpam-5503	28	8	and	and	CCONJ
ejpam-5503	28	9	nw	nw	PROPN
ejpam-5503	28	10	are	be	AUX
ejpam-5503	28	11	aγ	aγ	PRON
ejpam-5503	28	12	:	:	PUNCT
ejpam-5503	28	13	h	h	NOUN
ejpam-5503	28	14	⇒	⇒	NOUN
ejpam-5503	28	15	h	h	NOUN
ejpam-5503	28	16	:	:	PUNCT
ejpam-5503	29	1	x	x	X
ejpam-5503	29	2	7→	7→	NUM
ejpam-5503	29	3	a	a	DET
ejpam-5503	29	4	(	(	PUNCT
ejpam-5503	29	5	γ−1(x	γ−1(x	NOUN
ejpam-5503	29	6	−	−	PROPN
ejpam-5503	29	7	(	(	PUNCT
ejpam-5503	29	8	1	1	NUM
ejpam-5503	29	9	−	−	NOUN
ejpam-5503	29	10	γ)w	γ)w	PUNCT
ejpam-5503	29	11	)	)	PUNCT
ejpam-5503	29	12	)	)	PUNCT
ejpam-5503	30	1	+	+	CCONJ
ejpam-5503	30	2	γ−1(1	γ−1(1	ADJ
ejpam-5503	30	3	−	−	PROPN
ejpam-5503	30	4	γ	γ	NOUN
ejpam-5503	30	5	)	)	PUNCT
ejpam-5503	30	6	(	(	PUNCT
ejpam-5503	30	7	x	x	X
ejpam-5503	30	8	−	−	PROPN
ejpam-5503	30	9	w	w	PROPN
ejpam-5503	30	10	)	)	PUNCT
ejpam-5503	30	11	,	,	PUNCT
ejpam-5503	30	12	(	(	PUNCT
ejpam-5503	30	13	4	4	X
ejpam-5503	30	14	)	)	PUNCT
ejpam-5503	30	15	and	and	CCONJ
ejpam-5503	30	16	bγ	bγ	ADV
ejpam-5503	30	17	:	:	PUNCT
ejpam-5503	30	18	h	h	NOUN
ejpam-5503	30	19	⇒	⇒	PROPN
ejpam-5503	30	20	h	h	NOUN
ejpam-5503	30	21	:	:	PUNCT
ejpam-5503	30	22	x	x	X
ejpam-5503	30	23	7→	7→	NUM
ejpam-5503	30	24	b	b	X
ejpam-5503	30	25	(	(	PUNCT
ejpam-5503	30	26	γ−1(x	γ−1(x	NOUN
ejpam-5503	30	27	−	−	PROPN
ejpam-5503	30	28	(	(	PUNCT
ejpam-5503	30	29	1	1	NUM
ejpam-5503	30	30	−	−	NOUN
ejpam-5503	30	31	γ)w	γ)w	PUNCT
ejpam-5503	30	32	)	)	PUNCT
ejpam-5503	30	33	)	)	PUNCT
ejpam-5503	31	1	+	+	CCONJ
ejpam-5503	31	2	γ−1(1	γ−1(1	ADJ
ejpam-5503	31	3	−	−	PROPN
ejpam-5503	31	4	γ	γ	NOUN
ejpam-5503	31	5	)	)	PUNCT
ejpam-5503	31	6	(	(	PUNCT
ejpam-5503	31	7	x	x	X
ejpam-5503	31	8	−	−	PROPN
ejpam-5503	31	9	w	w	PROPN
ejpam-5503	31	10	)	)	PUNCT
ejpam-5503	31	11	.	.	PUNCT
ejpam-5503	32	1	(	(	PUNCT
ejpam-5503	32	2	5	5	X
ejpam-5503	32	3	)	)	PUNCT
ejpam-5503	32	4	fact	fact	NOUN
ejpam-5503	32	5	2	2	NUM
ejpam-5503	32	6	.	.	X
ejpam-5503	33	1	aγ	aγ	PRON
ejpam-5503	33	2	and	and	CCONJ
ejpam-5503	33	3	bγ	bγ	PROPN
ejpam-5503	33	4	are	be	AUX
ejpam-5503	33	5	maximally	maximally	ADV
ejpam-5503	33	6	monotone	monotone	ADJ
ejpam-5503	33	7	and	and	CCONJ
ejpam-5503	33	8	their	their	PRON
ejpam-5503	33	9	resolvents	resolvent	NOUN
ejpam-5503	33	10	are	be	AUX
ejpam-5503	33	11	given	give	VERB
ejpam-5503	33	12	by	by	ADP
ejpam-5503	33	13	jaγ	jaγ	NOUN
ejpam-5503	33	14	=	=	SYM
ejpam-5503	33	15	γja	γja	PROPN
ejpam-5503	34	1	+	+	CCONJ
ejpam-5503	34	2	(	(	PUNCT
ejpam-5503	34	3	1	1	NUM
ejpam-5503	34	4	−	−	PROPN
ejpam-5503	34	5	γ	γ	X
ejpam-5503	34	6	)	)	PUNCT
ejpam-5503	34	7	w	w	PROPN
ejpam-5503	34	8	and	and	CCONJ
ejpam-5503	34	9	jbγ	jbγ	PROPN
ejpam-5503	34	10	=	=	PUNCT
ejpam-5503	34	11	γjb	γjb	VERB
ejpam-5503	34	12	+	+	CCONJ
ejpam-5503	34	13	(	(	PUNCT
ejpam-5503	34	14	1	1	NUM
ejpam-5503	34	15	−	−	PROPN
ejpam-5503	34	16	γ	γ	PROPN
ejpam-5503	34	17	)	)	PUNCT
ejpam-5503	34	18	w	w	PROPN
ejpam-5503	34	19	,	,	PUNCT
ejpam-5503	34	20	(	(	PUNCT
ejpam-5503	34	21	6	6	NUM
ejpam-5503	34	22	)	)	PUNCT
ejpam-5503	34	23	respectively	respectively	ADV
ejpam-5503	34	24	.	.	PUNCT
ejpam-5503	35	1	moreover	moreover	ADV
ejpam-5503	35	2	,	,	PUNCT
ejpam-5503	35	3	reflected	reflect	VERB
ejpam-5503	35	4	resolvents	resolvent	NOUN
ejpam-5503	35	5	are	be	AUX
ejpam-5503	35	6	raγ	raγ	ADJ
ejpam-5503	35	7	=	=	SYM
ejpam-5503	36	1	2γja	2γja	NUM
ejpam-5503	37	1	+	+	CCONJ
ejpam-5503	37	2	2	2	NUM
ejpam-5503	37	3	(	(	PUNCT
ejpam-5503	37	4	1	1	NUM
ejpam-5503	37	5	−	−	PROPN
ejpam-5503	37	6	γ	γ	NOUN
ejpam-5503	37	7	)	)	PUNCT
ejpam-5503	37	8	w	w	PROPN
ejpam-5503	37	9	−	−	PROPN
ejpam-5503	38	1	i	i	PROPN
ejpam-5503	38	2	d	d	PROPN
ejpam-5503	38	3	,	,	PUNCT
ejpam-5503	38	4	and	and	CCONJ
ejpam-5503	38	5	rbγ	rbγ	NOUN
ejpam-5503	39	1	=	=	SYM
ejpam-5503	39	2	2γjb	2γjb	NUM
ejpam-5503	40	1	+	+	CCONJ
ejpam-5503	40	2	2	2	NUM
ejpam-5503	40	3	(	(	PUNCT
ejpam-5503	40	4	1	1	NUM
ejpam-5503	40	5	−	−	PROPN
ejpam-5503	40	6	γ	γ	NOUN
ejpam-5503	40	7	)	)	PUNCT
ejpam-5503	40	8	w	w	PROPN
ejpam-5503	40	9	−	−	PROPN
ejpam-5503	41	1	i	i	PROPN
ejpam-5503	41	2	d	d	PROPN
ejpam-5503	41	3	,	,	PUNCT
ejpam-5503	41	4	(	(	PUNCT
ejpam-5503	41	5	7	7	X
ejpam-5503	41	6	)	)	PUNCT
ejpam-5503	41	7	respectively	respectively	ADV
ejpam-5503	41	8	.	.	PUNCT
ejpam-5503	42	1	then	then	ADV
ejpam-5503	42	2	aragón	aragón	PROPN
ejpam-5503	42	3	artacho	artacho	ADJ
ejpam-5503	42	4	–	–	PUNCT
ejpam-5503	42	5	campoy	campoy	ADJ
ejpam-5503	42	6	operator	operator	NOUN
ejpam-5503	42	7	[	[	X
ejpam-5503	42	8	1	1	X
ejpam-5503	42	9	]	]	PUNCT
ejpam-5503	42	10	associated	associate	VERB
ejpam-5503	42	11	with	with	ADP
ejpam-5503	42	12	the	the	DET
ejpam-5503	42	13	ordered	order	VERB
ejpam-5503	42	14	pair	pair	NOUN
ejpam-5503	42	15	of	of	ADP
ejpam-5503	42	16	operators	operator	NOUN
ejpam-5503	42	17	(	(	PUNCT
ejpam-5503	42	18	aγ	aγ	ADV
ejpam-5503	42	19	,	,	PUNCT
ejpam-5503	42	20	bγ	bγ	PROPN
ejpam-5503	42	21	)	)	PUNCT
ejpam-5503	42	22	is	be	AUX
ejpam-5503	42	23	taγ	taγ	NOUN
ejpam-5503	42	24	,	,	PUNCT
ejpam-5503	42	25	bγ	bγ	ADV
ejpam-5503	42	26	=	=	PUNCT
ejpam-5503	42	27	(	(	PUNCT
ejpam-5503	42	28	1	1	NUM
ejpam-5503	42	29	−	−	PROPN
ejpam-5503	42	30	λ	λ	PROPN
ejpam-5503	42	31	)	)	PUNCT
ejpam-5503	42	32	id+λrbγ	id+λrbγ	ADJ
ejpam-5503	42	33	raγ	raγ	NOUN
ejpam-5503	42	34	.	.	PUNCT
ejpam-5503	43	1	(	(	PUNCT
ejpam-5503	43	2	8)	8)	NUM
ejpam-5503	43	3	fact	fact	NOUN
ejpam-5503	43	4	3	3	NUM
ejpam-5503	43	5	.	.	PUNCT
ejpam-5503	44	1	(	(	PUNCT
ejpam-5503	44	2	definition	definition	NOUN
ejpam-5503	44	3	of	of	ADP
ejpam-5503	44	4	the	the	DET
ejpam-5503	44	5	douglas	douglas	PROPN
ejpam-5503	44	6	–	–	PUNCT
ejpam-5503	44	7	rachford	rachford	ADJ
ejpam-5503	44	8	splitting	splitting	NOUN
ejpam-5503	44	9	operator	operator	NOUN
ejpam-5503	44	10	)	)	PUNCT
ejpam-5503	44	11	the	the	DET
ejpam-5503	44	12	douglas	douglas	PROPN
ejpam-5503	44	13	–	–	PUNCT
ejpam-5503	44	14	rachford	rachford	ADJ
ejpam-5503	44	15	splitting	splitting	NOUN
ejpam-5503	44	16	operator	operator	NOUN
ejpam-5503	44	17	[	[	X
ejpam-5503	44	18	19	19	NUM
ejpam-5503	44	19	]	]	PUNCT
ejpam-5503	44	20	associated	associate	VERB
ejpam-5503	44	21	with	with	ADP
ejpam-5503	44	22	the	the	DET
ejpam-5503	44	23	ordered	order	VERB
ejpam-5503	44	24	pair	pair	NOUN
ejpam-5503	44	25	of	of	ADP
ejpam-5503	44	26	operators	operator	NOUN
ejpam-5503	44	27	(	(	PUNCT
ejpam-5503	44	28	a	a	DET
ejpam-5503	44	29	,	,	PUNCT
ejpam-5503	44	30	b	b	NOUN
ejpam-5503	44	31	)	)	PUNCT
ejpam-5503	44	32	is	be	AUX
ejpam-5503	44	33	ta	ta	PROPN
ejpam-5503	44	34	,	,	PUNCT
ejpam-5503	44	35	b	b	NOUN
ejpam-5503	44	36	=	=	SYM
ejpam-5503	44	37	1	1	NUM
ejpam-5503	44	38	2	2	NUM
ejpam-5503	44	39	(	(	PUNCT
ejpam-5503	44	40	id+rbra	id+rbra	NOUN
ejpam-5503	44	41	)	)	PUNCT
ejpam-5503	45	1	=	=	SYM
ejpam-5503	45	2	id−ja	id−ja	NOUN
ejpam-5503	45	3	+	+	CCONJ
ejpam-5503	45	4	jbra	jbra	NOUN
ejpam-5503	45	5	.	.	PUNCT
ejpam-5503	46	1	(	(	PUNCT
ejpam-5503	46	2	9	9	NUM
ejpam-5503	46	3	)	)	PUNCT
ejpam-5503	46	4	through	through	ADP
ejpam-5503	46	5	straightforward	straightforward	ADJ
ejpam-5503	46	6	calculations	calculation	NOUN
ejpam-5503	46	7	,	,	PUNCT
ejpam-5503	46	8	we	we	PRON
ejpam-5503	46	9	can	can	AUX
ejpam-5503	46	10	determine	determine	VERB
ejpam-5503	46	11	that	that	DET
ejpam-5503	46	12	tb	tb	NOUN
ejpam-5503	46	13	,	,	PUNCT
ejpam-5503	46	14	a	a	DET
ejpam-5503	46	15	=	=	ADJ
ejpam-5503	46	16	id+jarb	id+jarb	NOUN
ejpam-5503	46	17	−	−	PROPN
ejpam-5503	46	18	jb	jb	PROPN
ejpam-5503	46	19	.	.	PUNCT
ejpam-5503	47	1	(	(	PUNCT
ejpam-5503	47	2	10	10	NUM
ejpam-5503	47	3	)	)	PUNCT
ejpam-5503	47	4	in	in	ADP
ejpam-5503	47	5	this	this	DET
ejpam-5503	47	6	paper	paper	NOUN
ejpam-5503	47	7	,	,	PUNCT
ejpam-5503	47	8	we	we	PRON
ejpam-5503	47	9	explore	explore	VERB
ejpam-5503	47	10	the	the	DET
ejpam-5503	47	11	relationship	relationship	NOUN
ejpam-5503	47	12	between	between	ADP
ejpam-5503	47	13	the	the	DET
ejpam-5503	47	14	aragón	aragón	PROPN
ejpam-5503	47	15	artacho	artacho	ADJ
ejpam-5503	47	16	–	–	PUNCT
ejpam-5503	47	17	campoy	campoy	ADJ
ejpam-5503	47	18	operators	operator	NOUN
ejpam-5503	47	19	taγ	taγ	VERB
ejpam-5503	47	20	,	,	PUNCT
ejpam-5503	47	21	bγ	bγ	PROPN
ejpam-5503	47	22	and	and	CCONJ
ejpam-5503	47	23	tbγ	tbγ	NOUN
ejpam-5503	47	24	,	,	PUNCT
ejpam-5503	47	25	aγ	aγ	PRON
ejpam-5503	47	26	.	.	PUNCT
ejpam-5503	48	1	the	the	DET
ejpam-5503	48	2	key	key	ADJ
ejpam-5503	48	3	findings	finding	NOUN
ejpam-5503	48	4	are	be	AUX
ejpam-5503	48	5	summarized	summarize	VERB
ejpam-5503	48	6	as	as	SCONJ
ejpam-5503	48	7	follows	follow	VERB
ejpam-5503	48	8	:	:	PUNCT
ejpam-5503	48	9	s.	s.	PROPN
ejpam-5503	48	10	th	th	PROPN
ejpam-5503	48	11	.	.	PUNCT
ejpam-5503	49	1	alwadani	alwadani	PROPN
ejpam-5503	49	2	/	/	SYM
ejpam-5503	49	3	eur	eur	PROPN
ejpam-5503	49	4	.	.	PUNCT
ejpam-5503	50	1	j.	j.	PROPN
ejpam-5503	50	2	pure	pure	PROPN
ejpam-5503	50	3	appl	appl	PROPN
ejpam-5503	50	4	.	.	PROPN
ejpam-5503	50	5	math	math	PROPN
ejpam-5503	50	6	,	,	PUNCT
ejpam-5503	50	7	18	18	NUM
ejpam-5503	50	8	(	(	PUNCT
ejpam-5503	50	9	1	1	NUM
ejpam-5503	50	10	)	)	PUNCT
ejpam-5503	50	11	(	(	PUNCT
ejpam-5503	50	12	2025	2025	NUM
ejpam-5503	50	13	)	)	PUNCT
ejpam-5503	50	14	,	,	PUNCT
ejpam-5503	50	15	5503	5503	NUM
ejpam-5503	50	16	3	3	NUM
ejpam-5503	50	17	of	of	ADP
ejpam-5503	50	18	16	16	NUM
ejpam-5503	50	19	•	•	NOUN
ejpam-5503	50	20	key	key	ADJ
ejpam-5503	50	21	properties	property	NOUN
ejpam-5503	50	22	of	of	ADP
ejpam-5503	50	23	jaγ	jaγ	NOUN
ejpam-5503	50	24	and	and	CCONJ
ejpam-5503	50	25	aγ	aγ	PRON
ejpam-5503	50	26	are	be	AUX
ejpam-5503	50	27	presented	present	VERB
ejpam-5503	50	28	in	in	ADP
ejpam-5503	50	29	proposition	proposition	NOUN
ejpam-5503	50	30	1	1	NUM
ejpam-5503	50	31	.	.	PUNCT
ejpam-5503	51	1	these	these	DET
ejpam-5503	51	2	properties	property	NOUN
ejpam-5503	51	3	will	will	AUX
ejpam-5503	51	4	be	be	AUX
ejpam-5503	51	5	valuable	valuable	ADJ
ejpam-5503	51	6	for	for	ADP
ejpam-5503	51	7	our	our	PRON
ejpam-5503	51	8	analysis	analysis	NOUN
ejpam-5503	51	9	.	.	PUNCT
ejpam-5503	52	1	•	•	INTJ
ejpam-5503	52	2	we	we	PRON
ejpam-5503	52	3	provide	provide	VERB
ejpam-5503	52	4	formulas	formula	NOUN
ejpam-5503	52	5	for	for	ADP
ejpam-5503	52	6	the	the	DET
ejpam-5503	52	7	aragón	aragón	NOUN
ejpam-5503	52	8	artacho	artacho	ADJ
ejpam-5503	52	9	–	–	PUNCT
ejpam-5503	52	10	campoy	campoy	NOUN
ejpam-5503	52	11	operators	operator	NOUN
ejpam-5503	52	12	utilizing	utilize	VERB
ejpam-5503	52	13	the	the	DET
ejpam-5503	52	14	douglas	dougla	NOUN
ejpam-5503	52	15	–	–	PUNCT
ejpam-5503	52	16	rachford	rachford	ADJ
ejpam-5503	52	17	splitting	splitting	NOUN
ejpam-5503	52	18	operator	operator	NOUN
ejpam-5503	52	19	(	(	PUNCT
ejpam-5503	52	20	refer	refer	VERB
ejpam-5503	52	21	to	to	ADP
ejpam-5503	52	22	lemma	lemma	PROPN
ejpam-5503	52	23	1	1	NUM
ejpam-5503	52	24	)	)	PUNCT
ejpam-5503	52	25	.	.	PUNCT
ejpam-5503	53	1	for	for	ADP
ejpam-5503	53	2	additional	additional	ADJ
ejpam-5503	53	3	details	detail	NOUN
ejpam-5503	53	4	on	on	ADP
ejpam-5503	53	5	the	the	DET
ejpam-5503	53	6	douglas	douglas	PROPN
ejpam-5503	53	7	–	–	PUNCT
ejpam-5503	53	8	rachford	rachford	ADJ
ejpam-5503	53	9	splitting	splitting	NOUN
ejpam-5503	53	10	algorithm	algorithm	NOUN
ejpam-5503	53	11	,	,	PUNCT
ejpam-5503	53	12	see	see	VERB
ejpam-5503	53	13	[	[	X
ejpam-5503	53	14	17	17	NUM
ejpam-5503	53	15	]	]	PUNCT
ejpam-5503	53	16	,	,	PUNCT
ejpam-5503	53	17	[	[	X
ejpam-5503	53	18	5	5	NUM
ejpam-5503	53	19	]	]	PUNCT
ejpam-5503	53	20	,	,	PUNCT
ejpam-5503	53	21	[	[	X
ejpam-5503	53	22	8	8	NUM
ejpam-5503	53	23	]	]	PUNCT
ejpam-5503	53	24	,	,	PUNCT
ejpam-5503	53	25	[	[	X
ejpam-5503	53	26	13	13	NUM
ejpam-5503	53	27	]	]	PUNCT
ejpam-5503	53	28	,	,	PUNCT
ejpam-5503	53	29	[	[	X
ejpam-5503	53	30	16	16	NUM
ejpam-5503	53	31	]	]	PUNCT
ejpam-5503	53	32	,	,	PUNCT
ejpam-5503	53	33	and	and	CCONJ
ejpam-5503	53	34	[	[	X
ejpam-5503	53	35	18	18	NUM
ejpam-5503	53	36	]	]	PUNCT
ejpam-5503	53	37	.	.	PUNCT
ejpam-5503	54	1	[	[	X
ejpam-5503	54	2	5	5	NUM
ejpam-5503	54	3	]	]	PUNCT
ejpam-5503	54	4	,	,	PUNCT
ejpam-5503	54	5	[	[	X
ejpam-5503	54	6	8	8	NUM
ejpam-5503	54	7	]	]	PUNCT
ejpam-5503	54	8	,	,	PUNCT
ejpam-5503	54	9	[	[	X
ejpam-5503	54	10	13	13	NUM
ejpam-5503	54	11	]	]	PUNCT
ejpam-5503	54	12	,	,	PUNCT
ejpam-5503	54	13	and	and	CCONJ
ejpam-5503	54	14	[	[	X
ejpam-5503	54	15	18	18	NUM
ejpam-5503	54	16	]	]	PUNCT
ejpam-5503	54	17	help	help	NOUN
ejpam-5503	54	18	to	to	PART
ejpam-5503	54	19	understand	understand	VERB
ejpam-5503	54	20	more	more	ADJ
ejpam-5503	54	21	about	about	ADP
ejpam-5503	54	22	the	the	DET
ejpam-5503	54	23	behaviour	behaviour	NOUN
ejpam-5503	54	24	of	of	ADP
ejpam-5503	54	25	drs	drs	PROPN
ejpam-5503	54	26	.	.	PUNCT
ejpam-5503	54	27	paper	paper	NOUN
ejpam-5503	55	1	[	[	X
ejpam-5503	55	2	5	5	NUM
ejpam-5503	55	3	]	]	PUNCT
ejpam-5503	55	4	studies	study	NOUN
ejpam-5503	55	5	the	the	DET
ejpam-5503	55	6	range	range	NOUN
ejpam-5503	55	7	of	of	ADP
ejpam-5503	55	8	the	the	DET
ejpam-5503	55	9	drs	dr	NOUN
ejpam-5503	55	10	systematically	systematically	ADV
ejpam-5503	55	11	.	.	PUNCT
ejpam-5503	56	1	under	under	ADP
ejpam-5503	56	2	the	the	DET
ejpam-5503	56	3	assumption	assumption	NOUN
ejpam-5503	56	4	that	that	SCONJ
ejpam-5503	56	5	the	the	DET
ejpam-5503	56	6	operators	operator	NOUN
ejpam-5503	56	7	are	be	AUX
ejpam-5503	56	8	3∗	3∗	NUM
ejpam-5503	56	9	monotone	monotone	ADJ
ejpam-5503	56	10	operators	operator	NOUN
ejpam-5503	56	11	.	.	PUNCT
ejpam-5503	57	1	while	while	SCONJ
ejpam-5503	57	2	the	the	DET
ejpam-5503	57	3	second	second	ADJ
ejpam-5503	57	4	one	one	NOUN
ejpam-5503	57	5	helps	help	VERB
ejpam-5503	57	6	to	to	PART
ejpam-5503	57	7	understand	understand	VERB
ejpam-5503	57	8	the	the	DET
ejpam-5503	57	9	behavior	behavior	NOUN
ejpam-5503	57	10	of	of	ADP
ejpam-5503	57	11	the	the	DET
ejpam-5503	57	12	shadow	shadow	NOUN
ejpam-5503	57	13	sequence	sequence	NOUN
ejpam-5503	57	14	when	when	SCONJ
ejpam-5503	57	15	the	the	DET
ejpam-5503	57	16	given	give	VERB
ejpam-5503	57	17	functions	function	NOUN
ejpam-5503	57	18	have	have	VERB
ejpam-5503	57	19	disjoint	disjoint	NOUN
ejpam-5503	57	20	domains	domain	NOUN
ejpam-5503	57	21	.	.	PUNCT
ejpam-5503	58	1	the	the	DET
ejpam-5503	58	2	main	main	ADJ
ejpam-5503	58	3	result	result	NOUN
ejpam-5503	58	4	of	of	ADP
ejpam-5503	58	5	this	this	DET
ejpam-5503	58	6	paper	paper	NOUN
ejpam-5503	58	7	is	be	AUX
ejpam-5503	58	8	proving	prove	VERB
ejpam-5503	58	9	the	the	DET
ejpam-5503	58	10	weak	weak	ADJ
ejpam-5503	58	11	and	and	CCONJ
ejpam-5503	58	12	value	value	NOUN
ejpam-5503	58	13	convergence	convergence	NOUN
ejpam-5503	58	14	of	of	ADP
ejpam-5503	58	15	the	the	DET
ejpam-5503	58	16	shadow	shadow	NOUN
ejpam-5503	58	17	sequence	sequence	NOUN
ejpam-5503	58	18	generated	generate	VERB
ejpam-5503	58	19	by	by	ADP
ejpam-5503	58	20	the	the	DET
ejpam-5503	58	21	douglas	douglas	PROPN
ejpam-5503	58	22	–	–	PUNCT
ejpam-5503	58	23	rachford	rachford	ADJ
ejpam-5503	58	24	algorithm	algorithm	NOUN
ejpam-5503	58	25	.	.	PUNCT
ejpam-5503	59	1	paper	paper	NOUN
ejpam-5503	60	1	[	[	X
ejpam-5503	60	2	13	13	NUM
ejpam-5503	60	3	]	]	PUNCT
ejpam-5503	60	4	aims	aim	VERB
ejpam-5503	60	5	to	to	PART
ejpam-5503	60	6	solve	solve	VERB
ejpam-5503	60	7	convex	convex	NOUN
ejpam-5503	60	8	feasibility	feasibility	NOUN
ejpam-5503	60	9	problems	problem	NOUN
ejpam-5503	60	10	by	by	ADP
ejpam-5503	60	11	using	use	VERB
ejpam-5503	60	12	new	new	ADJ
ejpam-5503	60	13	algorithmic	algorithmic	ADJ
ejpam-5503	60	14	structures	structure	NOUN
ejpam-5503	60	15	with	with	ADP
ejpam-5503	60	16	drs	dr	NOUN
ejpam-5503	60	17	operators	operator	NOUN
ejpam-5503	60	18	.	.	PUNCT
ejpam-5503	61	1	paper	paper	NOUN
ejpam-5503	62	1	[	[	X
ejpam-5503	62	2	18	18	NUM
ejpam-5503	62	3	]	]	PUNCT
ejpam-5503	62	4	gives	give	VERB
ejpam-5503	62	5	a	a	DET
ejpam-5503	62	6	comprehensive	comprehensive	ADJ
ejpam-5503	62	7	survey	survey	NOUN
ejpam-5503	62	8	about	about	ADP
ejpam-5503	62	9	the	the	DET
ejpam-5503	62	10	developments	development	NOUN
ejpam-5503	62	11	of	of	ADP
ejpam-5503	62	12	the	the	DET
ejpam-5503	62	13	drs	drs	ADJ
ejpam-5503	62	14	methods	method	NOUN
ejpam-5503	62	15	.	.	PUNCT
ejpam-5503	63	1	additionally	additionally	ADV
ejpam-5503	63	2	,	,	PUNCT
ejpam-5503	63	3	[	[	X
ejpam-5503	63	4	17	17	NUM
ejpam-5503	63	5	]	]	PUNCT
ejpam-5503	63	6	shows	show	VERB
ejpam-5503	63	7	an	an	DET
ejpam-5503	63	8	amazing	amazing	ADJ
ejpam-5503	63	9	connection	connection	NOUN
ejpam-5503	63	10	between	between	ADP
ejpam-5503	63	11	the	the	DET
ejpam-5503	63	12	alternating	alternate	VERB
ejpam-5503	63	13	direction	direction	NOUN
ejpam-5503	63	14	multiplier	multipli	ADJ
ejpam-5503	63	15	method	method	NOUN
ejpam-5503	63	16	(	(	PUNCT
ejpam-5503	63	17	admm	admm	VERB
ejpam-5503	63	18	)	)	PUNCT
ejpam-5503	63	19	and	and	CCONJ
ejpam-5503	63	20	douglas	douglas	PROPN
ejpam-5503	63	21	rachford	rachford	PROPN
ejpam-5503	63	22	splitting	splitting	NOUN
ejpam-5503	63	23	method	method	NOUN
ejpam-5503	63	24	(	(	PUNCT
ejpam-5503	63	25	drs	drs	PROPN
ejpam-5503	63	26	)	)	PUNCT
ejpam-5503	63	27	for	for	ADP
ejpam-5503	63	28	convex	convex	NOUN
ejpam-5503	63	29	problems	problem	NOUN
ejpam-5503	63	30	.	.	PUNCT
ejpam-5503	64	1	finally	finally	ADV
ejpam-5503	64	2	,	,	PUNCT
ejpam-5503	64	3	the	the	DET
ejpam-5503	64	4	paper	paper	NOUN
ejpam-5503	64	5	[	[	X
ejpam-5503	64	6	16	16	NUM
ejpam-5503	64	7	]	]	PUNCT
ejpam-5503	64	8	shows	show	VERB
ejpam-5503	64	9	that	that	SCONJ
ejpam-5503	64	10	the	the	DET
ejpam-5503	64	11	proximal	proximal	ADJ
ejpam-5503	64	12	point	point	NOUN
ejpam-5503	64	13	algorithm	algorithm	NOUN
ejpam-5503	64	14	encompasses	encompass	VERB
ejpam-5503	64	15	the	the	DET
ejpam-5503	64	16	drs	drs	ADJ
ejpam-5503	64	17	method	method	NOUN
ejpam-5503	64	18	as	as	ADP
ejpam-5503	64	19	a	a	DET
ejpam-5503	64	20	specific	specific	ADJ
ejpam-5503	64	21	instance	instance	NOUN
ejpam-5503	64	22	,	,	PUNCT
ejpam-5503	64	23	which	which	PRON
ejpam-5503	64	24	is	be	AUX
ejpam-5503	64	25	employed	employ	VERB
ejpam-5503	64	26	for	for	ADP
ejpam-5503	64	27	locating	locate	VERB
ejpam-5503	64	28	a	a	DET
ejpam-5503	64	29	zero	zero	NUM
ejpam-5503	64	30	of	of	ADP
ejpam-5503	64	31	the	the	DET
ejpam-5503	64	32	combined	combined	ADJ
ejpam-5503	64	33	sum	sum	NOUN
ejpam-5503	64	34	of	of	ADP
ejpam-5503	64	35	two	two	NUM
ejpam-5503	64	36	monotone	monotone	ADJ
ejpam-5503	64	37	operators	operator	NOUN
ejpam-5503	64	38	.	.	PUNCT
ejpam-5503	65	1	•	•	NUM
ejpam-5503	65	2	with	with	ADP
ejpam-5503	65	3	the	the	DET
ejpam-5503	65	4	assumption	assumption	NOUN
ejpam-5503	65	5	a	a	PRON
ejpam-5503	65	6	is	be	AUX
ejpam-5503	65	7	affine	affine	NOUN
ejpam-5503	65	8	relation	relation	NOUN
ejpam-5503	65	9	,	,	PUNCT
ejpam-5503	65	10	we	we	PRON
ejpam-5503	65	11	prove	prove	VERB
ejpam-5503	65	12	that	that	DET
ejpam-5503	65	13	raγ	raγ	NOUN
ejpam-5503	65	14	tn	tn	NOUN
ejpam-5503	65	15	aγ	aγ	PROPN
ejpam-5503	65	16	,	,	PUNCT
ejpam-5503	65	17	bγ	bγ	NOUN
ejpam-5503	65	18	=	=	SYM
ejpam-5503	65	19	tn	tn	PROPN
ejpam-5503	65	20	bγ	bγ	NOUN
ejpam-5503	65	21	,	,	PUNCT
ejpam-5503	65	22	aγ	aγ	PRON
ejpam-5503	65	23	raγ	raγ	NOUN
ejpam-5503	65	24	(	(	PUNCT
ejpam-5503	65	25	see	see	VERB
ejpam-5503	65	26	theorem	theorem	NOUN
ejpam-5503	65	27	1	1	NUM
ejpam-5503	65	28	)	)	PUNCT
ejpam-5503	65	29	.	.	PUNCT
ejpam-5503	66	1	•	•	INTJ
ejpam-5503	66	2	we	we	PRON
ejpam-5503	66	3	demonstrate	demonstrate	VERB
ejpam-5503	66	4	the	the	DET
ejpam-5503	66	5	results	result	NOUN
ejpam-5503	66	6	by	by	ADP
ejpam-5503	66	7	providing	provide	VERB
ejpam-5503	66	8	two	two	NUM
ejpam-5503	66	9	examples	example	NOUN
ejpam-5503	66	10	(	(	PUNCT
ejpam-5503	66	11	refer	refer	VERB
ejpam-5503	66	12	to	to	PART
ejpam-5503	66	13	example	example	NOUN
ejpam-5503	66	14	1	1	NUM
ejpam-5503	66	15	and	and	CCONJ
ejpam-5503	66	16	proposition	proposition	NOUN
ejpam-5503	66	17	2	2	NUM
ejpam-5503	66	18	)	)	PUNCT
ejpam-5503	66	19	.	.	PUNCT
ejpam-5503	67	1	•	•	INTJ
ejpam-5503	67	2	we	we	PRON
ejpam-5503	67	3	established	establish	VERB
ejpam-5503	67	4	that	that	SCONJ
ejpam-5503	67	5	the	the	DET
ejpam-5503	67	6	equality	equality	NOUN
ejpam-5503	67	7	does	do	AUX
ejpam-5503	67	8	not	not	PART
ejpam-5503	67	9	hold	hold	VERB
ejpam-5503	67	10	when	when	SCONJ
ejpam-5503	67	11	substituting	substitute	VERB
ejpam-5503	67	12	aγ	aγ	PRON
ejpam-5503	67	13	with	with	ADP
ejpam-5503	67	14	bγ	bγ	PRON
ejpam-5503	67	15	in	in	ADP
ejpam-5503	67	16	the	the	DET
ejpam-5503	67	17	previous	previous	ADJ
ejpam-5503	67	18	result	result	NOUN
ejpam-5503	67	19	(	(	PUNCT
ejpam-5503	67	20	see	see	VERB
ejpam-5503	67	21	proposition	proposition	NOUN
ejpam-5503	67	22	2	2	NUM
ejpam-5503	67	23	,	,	PUNCT
ejpam-5503	67	24	(	(	PUNCT
ejpam-5503	67	25	vii	vii	PROPN
ejpam-5503	67	26	)	)	PUNCT
ejpam-5503	67	27	,	,	PUNCT
ejpam-5503	67	28	(	(	PUNCT
ejpam-5503	67	29	viii	viii	NOUN
ejpam-5503	67	30	)	)	PUNCT
ejpam-5503	67	31	,	,	PUNCT
ejpam-5503	67	32	and	and	CCONJ
ejpam-5503	67	33	(	(	PUNCT
ejpam-5503	67	34	ix	ix	ADJ
ejpam-5503	67	35	)	)	PUNCT
ejpam-5503	67	36	)	)	PUNCT
ejpam-5503	67	37	.	.	PUNCT
ejpam-5503	68	1	the	the	DET
ejpam-5503	68	2	notation	notation	NOUN
ejpam-5503	68	3	employed	employ	VERB
ejpam-5503	68	4	in	in	ADP
ejpam-5503	68	5	this	this	DET
ejpam-5503	68	6	paper	paper	NOUN
ejpam-5503	68	7	is	be	AUX
ejpam-5503	68	8	standard	standard	ADJ
ejpam-5503	68	9	and	and	CCONJ
ejpam-5503	68	10	closely	closely	ADV
ejpam-5503	68	11	aligns	align	VERB
ejpam-5503	68	12	with	with	ADP
ejpam-5503	68	13	that	that	PRON
ejpam-5503	68	14	in	in	ADP
ejpam-5503	68	15	[	[	X
ejpam-5503	68	16	2	2	NUM
ejpam-5503	68	17	]	]	PUNCT
ejpam-5503	68	18	,	,	PUNCT
ejpam-5503	68	19	[	[	X
ejpam-5503	68	20	1	1	NUM
ejpam-5503	68	21	]	]	PUNCT
ejpam-5503	68	22	,	,	PUNCT
ejpam-5503	68	23	and	and	CCONJ
ejpam-5503	68	24	[	[	X
ejpam-5503	68	25	4	4	NUM
ejpam-5503	68	26	]	]	PUNCT
ejpam-5503	68	27	.	.	PUNCT
ejpam-5503	69	1	2	2	X
ejpam-5503	69	2	.	.	X
ejpam-5503	69	3	new	new	ADJ
ejpam-5503	69	4	results	result	NOUN
ejpam-5503	69	5	all	all	DET
ejpam-5503	69	6	the	the	DET
ejpam-5503	69	7	results	result	NOUN
ejpam-5503	69	8	in	in	ADP
ejpam-5503	69	9	this	this	DET
ejpam-5503	69	10	section	section	NOUN
ejpam-5503	69	11	are	be	AUX
ejpam-5503	69	12	new	new	ADJ
ejpam-5503	69	13	,	,	PUNCT
ejpam-5503	69	14	highlighting	highlight	VERB
ejpam-5503	69	15	the	the	DET
ejpam-5503	69	16	main	main	ADJ
ejpam-5503	69	17	ones	one	NOUN
ejpam-5503	69	18	,	,	PUNCT
ejpam-5503	69	19	which	which	PRON
ejpam-5503	69	20	are	be	AUX
ejpam-5503	69	21	the	the	DET
ejpam-5503	69	22	relationships	relationship	NOUN
ejpam-5503	69	23	between	between	ADP
ejpam-5503	69	24	the	the	DET
ejpam-5503	69	25	aragón	aragón	PROPN
ejpam-5503	69	26	artacho	artacho	ADJ
ejpam-5503	69	27	–	–	PUNCT
ejpam-5503	69	28	campoy	campoy	ADJ
ejpam-5503	69	29	operators	operator	NOUN
ejpam-5503	69	30	taγ	taγ	VERB
ejpam-5503	69	31	,	,	PUNCT
ejpam-5503	69	32	bγ	bγ	PROPN
ejpam-5503	69	33	and	and	CCONJ
ejpam-5503	69	34	tbγ	tbγ	NOUN
ejpam-5503	69	35	,	,	PUNCT
ejpam-5503	69	36	aγ	aγ	X
ejpam-5503	69	37	.	.	PUNCT
ejpam-5503	70	1	key	key	ADJ
ejpam-5503	70	2	findings	finding	NOUN
ejpam-5503	70	3	include	include	VERB
ejpam-5503	70	4	the	the	DET
ejpam-5503	70	5	important	important	ADJ
ejpam-5503	70	6	properties	property	NOUN
ejpam-5503	70	7	of	of	ADP
ejpam-5503	70	8	jaγ	jaγ	NOUN
ejpam-5503	70	9	and	and	CCONJ
ejpam-5503	70	10	aγ	aγ	PRON
ejpam-5503	70	11	outlined	outline	VERB
ejpam-5503	70	12	in	in	ADP
ejpam-5503	70	13	proposition	proposition	NOUN
ejpam-5503	70	14	1	1	NUM
ejpam-5503	70	15	,	,	PUNCT
ejpam-5503	70	16	which	which	PRON
ejpam-5503	70	17	support	support	VERB
ejpam-5503	70	18	our	our	PRON
ejpam-5503	70	19	analysis	analysis	NOUN
ejpam-5503	70	20	.	.	PUNCT
ejpam-5503	71	1	we	we	PRON
ejpam-5503	71	2	provide	provide	VERB
ejpam-5503	71	3	formulas	formula	NOUN
ejpam-5503	71	4	for	for	ADP
ejpam-5503	71	5	the	the	DET
ejpam-5503	71	6	aragón	aragón	NOUN
ejpam-5503	71	7	artacho	artacho	ADJ
ejpam-5503	71	8	–	–	PUNCT
ejpam-5503	71	9	campoy	campoy	ADJ
ejpam-5503	71	10	operators	operator	NOUN
ejpam-5503	71	11	using	use	VERB
ejpam-5503	71	12	the	the	DET
ejpam-5503	71	13	douglas	dougla	NOUN
ejpam-5503	71	14	–	–	PUNCT
ejpam-5503	71	15	rachford	rachford	ADJ
ejpam-5503	71	16	splitting	splitting	NOUN
ejpam-5503	71	17	operator	operator	NOUN
ejpam-5503	71	18	,	,	PUNCT
ejpam-5503	71	19	as	as	SCONJ
ejpam-5503	71	20	detailed	detailed	ADJ
ejpam-5503	71	21	in	in	ADP
ejpam-5503	71	22	lemma	lemma	PROPN
ejpam-5503	71	23	1	1	NUM
ejpam-5503	71	24	.	.	PUNCT
ejpam-5503	72	1	under	under	ADP
ejpam-5503	72	2	the	the	DET
ejpam-5503	72	3	assumption	assumption	NOUN
ejpam-5503	72	4	that	that	SCONJ
ejpam-5503	72	5	a	a	PRON
ejpam-5503	72	6	is	be	AUX
ejpam-5503	72	7	an	an	DET
ejpam-5503	72	8	affine	affine	NOUN
ejpam-5503	72	9	relation	relation	NOUN
ejpam-5503	72	10	,	,	PUNCT
ejpam-5503	72	11	we	we	PRON
ejpam-5503	72	12	establish	establish	VERB
ejpam-5503	72	13	the	the	DET
ejpam-5503	72	14	equality	equality	NOUN
ejpam-5503	72	15	raγ	raγ	NOUN
ejpam-5503	73	1	tn	tn	PROPN
ejpam-5503	74	1	aγ	aγ	PROPN
ejpam-5503	74	2	,	,	PUNCT
ejpam-5503	74	3	bγ	bγ	NOUN
ejpam-5503	74	4	=	=	SYM
ejpam-5503	74	5	tn	tn	PROPN
ejpam-5503	75	1	bγ	bγ	NOUN
ejpam-5503	75	2	,	,	PUNCT
ejpam-5503	75	3	aγ	aγ	PRON
ejpam-5503	75	4	raγ	raγ	NOUN
ejpam-5503	75	5	(	(	PUNCT
ejpam-5503	75	6	see	see	VERB
ejpam-5503	75	7	theorem	theorem	NOUN
ejpam-5503	75	8	1	1	NUM
ejpam-5503	75	9	)	)	PUNCT
ejpam-5503	75	10	.	.	PUNCT
ejpam-5503	76	1	our	our	PRON
ejpam-5503	76	2	findings	finding	NOUN
ejpam-5503	76	3	are	be	AUX
ejpam-5503	76	4	further	far	ADV
ejpam-5503	76	5	illustrated	illustrate	VERB
ejpam-5503	76	6	with	with	ADP
ejpam-5503	76	7	two	two	NUM
ejpam-5503	76	8	examples	example	NOUN
ejpam-5503	76	9	(	(	PUNCT
ejpam-5503	76	10	refer	refer	VERB
ejpam-5503	76	11	to	to	PART
ejpam-5503	76	12	example	example	NOUN
ejpam-5503	76	13	1	1	NUM
ejpam-5503	76	14	and	and	CCONJ
ejpam-5503	76	15	proposition	proposition	NOUN
ejpam-5503	76	16	2	2	NUM
ejpam-5503	76	17	)	)	PUNCT
ejpam-5503	76	18	.	.	PUNCT
ejpam-5503	77	1	additionally	additionally	ADV
ejpam-5503	77	2	,	,	PUNCT
ejpam-5503	77	3	we	we	PRON
ejpam-5503	77	4	demonstrate	demonstrate	VERB
ejpam-5503	77	5	that	that	SCONJ
ejpam-5503	77	6	replacing	replace	VERB
ejpam-5503	77	7	aγ	aγ	PRON
ejpam-5503	77	8	with	with	ADP
ejpam-5503	77	9	bγ	bγ	PRON
ejpam-5503	77	10	in	in	ADP
ejpam-5503	77	11	this	this	DET
ejpam-5503	77	12	result	result	NOUN
ejpam-5503	77	13	leads	lead	VERB
ejpam-5503	77	14	to	to	ADP
ejpam-5503	77	15	a	a	DET
ejpam-5503	77	16	failure	failure	NOUN
ejpam-5503	77	17	of	of	ADP
ejpam-5503	77	18	the	the	DET
ejpam-5503	77	19	equality	equality	NOUN
ejpam-5503	77	20	(	(	PUNCT
ejpam-5503	77	21	see	see	VERB
ejpam-5503	77	22	proposition	proposition	NOUN
ejpam-5503	77	23	2	2	NUM
ejpam-5503	77	24	,	,	PUNCT
ejpam-5503	77	25	(	(	PUNCT
ejpam-5503	77	26	vii	vii	PROPN
ejpam-5503	77	27	)	)	PUNCT
ejpam-5503	77	28	,	,	PUNCT
ejpam-5503	77	29	(	(	PUNCT
ejpam-5503	77	30	viii	viii	NOUN
ejpam-5503	77	31	)	)	PUNCT
ejpam-5503	77	32	,	,	PUNCT
ejpam-5503	77	33	and	and	CCONJ
ejpam-5503	77	34	(	(	PUNCT
ejpam-5503	77	35	ix	ix	ADJ
ejpam-5503	77	36	)	)	PUNCT
ejpam-5503	77	37	)	)	PUNCT
ejpam-5503	77	38	.	.	PUNCT
ejpam-5503	78	1	s.	s.	PROPN
ejpam-5503	78	2	th	th	PROPN
ejpam-5503	78	3	.	.	PUNCT
ejpam-5503	79	1	alwadani	alwadani	PROPN
ejpam-5503	79	2	/	/	SYM
ejpam-5503	79	3	eur	eur	PROPN
ejpam-5503	79	4	.	.	PUNCT
ejpam-5503	80	1	j.	j.	PROPN
ejpam-5503	80	2	pure	pure	PROPN
ejpam-5503	80	3	appl	appl	PROPN
ejpam-5503	80	4	.	.	PROPN
ejpam-5503	80	5	math	math	PROPN
ejpam-5503	80	6	,	,	PUNCT
ejpam-5503	80	7	18	18	NUM
ejpam-5503	80	8	(	(	PUNCT
ejpam-5503	80	9	1	1	NUM
ejpam-5503	80	10	)	)	PUNCT
ejpam-5503	80	11	(	(	PUNCT
ejpam-5503	80	12	2025	2025	NUM
ejpam-5503	80	13	)	)	PUNCT
ejpam-5503	80	14	,	,	PUNCT
ejpam-5503	80	15	5503	5503	NUM
ejpam-5503	80	16	4	4	NUM
ejpam-5503	80	17	of	of	ADP
ejpam-5503	80	18	16	16	NUM
ejpam-5503	80	19	proposition	proposition	NOUN
ejpam-5503	80	20	1	1	NUM
ejpam-5503	80	21	.	.	PUNCT
ejpam-5503	81	1	let	let	VERB
ejpam-5503	81	2	γ	γ	X
ejpam-5503	81	3	∈	∈	PROPN
ejpam-5503	81	4	]	]	X
ejpam-5503	81	5	0	0	NUM
ejpam-5503	81	6	,	,	PUNCT
ejpam-5503	81	7	1	1	NUM
ejpam-5503	81	8	[	[	PUNCT
ejpam-5503	81	9	and	and	CCONJ
ejpam-5503	81	10	assume	assume	VERB
ejpam-5503	81	11	that	that	SCONJ
ejpam-5503	81	12	a	a	PRON
ejpam-5503	81	13	is	be	AUX
ejpam-5503	81	14	an	an	DET
ejpam-5503	81	15	affine	affine	NOUN
ejpam-5503	81	16	relation	relation	NOUN
ejpam-5503	81	17	.	.	PUNCT
ejpam-5503	82	1	the	the	DET
ejpam-5503	82	2	following	follow	VERB
ejpam-5503	82	3	statements	statement	NOUN
ejpam-5503	82	4	are	be	AUX
ejpam-5503	82	5	true	true	ADJ
ejpam-5503	82	6	:	:	PUNCT
ejpam-5503	82	7	(	(	PUNCT
ejpam-5503	82	8	i	i	NOUN
ejpam-5503	82	9	)	)	PUNCT
ejpam-5503	82	10	jaγ	jaγ	PROPN
ejpam-5503	82	11	is	be	AUX
ejpam-5503	82	12	affine	affine	ADJ
ejpam-5503	82	13	.	.	PUNCT
ejpam-5503	83	1	(	(	PUNCT
ejpam-5503	83	2	ii	ii	NOUN
ejpam-5503	83	3	)	)	PUNCT
ejpam-5503	83	4	aγ	aγ	PRON
ejpam-5503	83	5	is	be	AUX
ejpam-5503	83	6	an	an	DET
ejpam-5503	83	7	affine	affine	NOUN
ejpam-5503	83	8	relation	relation	NOUN
ejpam-5503	83	9	.	.	PUNCT
ejpam-5503	84	1	proof	proof	NOUN
ejpam-5503	84	2	.	.	PUNCT
ejpam-5503	85	1	(	(	PUNCT
ejpam-5503	85	2	i	i	NOUN
ejpam-5503	85	3	):	):	PUNCT
ejpam-5503	85	4	from	from	ADP
ejpam-5503	85	5	[	[	X
ejpam-5503	85	6	7	7	NUM
ejpam-5503	85	7	,	,	PUNCT
ejpam-5503	85	8	lemma	lemma	PROPN
ejpam-5503	85	9	2.3	2.3	NUM
ejpam-5503	85	10	]	]	PUNCT
ejpam-5503	85	11	or	or	CCONJ
ejpam-5503	85	12	[	[	X
ejpam-5503	85	13	6	6	NUM
ejpam-5503	85	14	,	,	PUNCT
ejpam-5503	85	15	theorem	theorem	VERB
ejpam-5503	85	16	2.1(xix	2.1(xix	NUM
ejpam-5503	85	17	)	)	PUNCT
ejpam-5503	85	18	]	]	PUNCT
ejpam-5503	85	19	,	,	PUNCT
ejpam-5503	85	20	it	it	PRON
ejpam-5503	85	21	follows	follow	VERB
ejpam-5503	85	22	that	that	SCONJ
ejpam-5503	85	23	ja	ja	PROPN
ejpam-5503	85	24	is	be	AUX
ejpam-5503	85	25	affine	affine	ADJ
ejpam-5503	85	26	.	.	PUNCT
ejpam-5503	86	1	utilizing	utilize	VERB
ejpam-5503	86	2	(	(	PUNCT
ejpam-5503	86	3	6	6	NUM
ejpam-5503	86	4	)	)	PUNCT
ejpam-5503	86	5	,	,	PUNCT
ejpam-5503	86	6	we	we	PRON
ejpam-5503	86	7	can	can	AUX
ejpam-5503	86	8	conclude	conclude	VERB
ejpam-5503	86	9	that	that	PRON
ejpam-5503	86	10	jaγ	jaγ	NOUN
ejpam-5503	86	11	is	be	AUX
ejpam-5503	86	12	also	also	ADV
ejpam-5503	86	13	affine	affine	ADJ
ejpam-5503	86	14	.	.	PUNCT
ejpam-5503	87	1	thus	thus	ADV
ejpam-5503	87	2	,	,	PUNCT
ejpam-5503	87	3	jaγ	jaγ	PROPN
ejpam-5503	87	4	is	be	AUX
ejpam-5503	87	5	affine	affine	ADJ
ejpam-5503	87	6	.	.	PUNCT
ejpam-5503	88	1	(	(	PUNCT
ejpam-5503	88	2	ii	ii	NOUN
ejpam-5503	88	3	):	):	PUNCT
ejpam-5503	88	4	from	from	ADP
ejpam-5503	88	5	(	(	PUNCT
ejpam-5503	88	6	i	i	NOUN
ejpam-5503	88	7	)	)	PUNCT
ejpam-5503	88	8	,	,	PUNCT
ejpam-5503	88	9	we	we	PRON
ejpam-5503	88	10	have	have	VERB
ejpam-5503	88	11	that	that	DET
ejpam-5503	88	12	jaγ	jaγ	NOUN
ejpam-5503	88	13	is	be	AUX
ejpam-5503	88	14	affine	affine	ADJ
ejpam-5503	88	15	if	if	SCONJ
ejpam-5503	88	16	and	and	CCONJ
ejpam-5503	88	17	only	only	ADV
ejpam-5503	88	18	if	if	SCONJ
ejpam-5503	88	19	(	(	PUNCT
ejpam-5503	88	20	id+aγ)−1	id+aγ)−1	NOUN
ejpam-5503	88	21	is	be	AUX
ejpam-5503	88	22	an	an	DET
ejpam-5503	88	23	affine	affine	NOUN
ejpam-5503	88	24	relation	relation	NOUN
ejpam-5503	88	25	,	,	PUNCT
ejpam-5503	88	26	which	which	PRON
ejpam-5503	88	27	in	in	ADP
ejpam-5503	88	28	turn	turn	NOUN
ejpam-5503	88	29	is	be	AUX
ejpam-5503	88	30	equivalent	equivalent	ADJ
ejpam-5503	88	31	to	to	ADP
ejpam-5503	88	32	(	(	PUNCT
ejpam-5503	88	33	id+aγ	id+aγ	X
ejpam-5503	88	34	)	)	PUNCT
ejpam-5503	88	35	being	be	AUX
ejpam-5503	88	36	an	an	DET
ejpam-5503	88	37	affine	affine	NOUN
ejpam-5503	88	38	relation	relation	NOUN
ejpam-5503	88	39	,	,	PUNCT
ejpam-5503	88	40	and	and	CCONJ
ejpam-5503	88	41	this	this	PRON
ejpam-5503	88	42	is	be	AUX
ejpam-5503	88	43	also	also	ADV
ejpam-5503	88	44	equivalent	equivalent	ADJ
ejpam-5503	88	45	to	to	ADP
ejpam-5503	88	46	aγ	aγ	PRON
ejpam-5503	88	47	being	be	AUX
ejpam-5503	88	48	an	an	DET
ejpam-5503	88	49	affine	affine	NOUN
ejpam-5503	88	50	relation	relation	NOUN
ejpam-5503	88	51	.	.	PUNCT
ejpam-5503	89	1	■	■	PUNCT
ejpam-5503	89	2	lemma	lemma	PROPN
ejpam-5503	89	3	1	1	X
ejpam-5503	89	4	.	.	PUNCT
ejpam-5503	89	5	let	let	VERB
ejpam-5503	89	6	γ	γ	X
ejpam-5503	89	7	∈	∈	PROPN
ejpam-5503	89	8	]	]	X
ejpam-5503	89	9	0	0	NUM
ejpam-5503	89	10	,	,	PUNCT
ejpam-5503	89	11	1	1	NUM
ejpam-5503	89	12	[	[	PUNCT
ejpam-5503	89	13	and	and	CCONJ
ejpam-5503	89	14	λ	λ	X
ejpam-5503	89	15	∈	∈	PROPN
ejpam-5503	89	16	]	]	X
ejpam-5503	89	17	0	0	NUM
ejpam-5503	89	18	,	,	PUNCT
ejpam-5503	89	19	1	1	NUM
ejpam-5503	89	20	]	]	PUNCT
ejpam-5503	89	21	.	.	PUNCT
ejpam-5503	90	1	we	we	PRON
ejpam-5503	90	2	derive	derive	VERB
ejpam-5503	90	3	:	:	PUNCT
ejpam-5503	90	4	rbγ	rbγ	NOUN
ejpam-5503	90	5	raγ	raγ	NOUN
ejpam-5503	91	1	=	=	PUNCT
ejpam-5503	91	2	id+2jbγ	id+2jbγ	PROPN
ejpam-5503	91	3	raγ	raγ	NOUN
ejpam-5503	91	4	−	−	PROPN
ejpam-5503	91	5	2jaγ	2jaγ	NUM
ejpam-5503	91	6	(	(	PUNCT
ejpam-5503	91	7	11	11	NUM
ejpam-5503	91	8	)	)	PUNCT
ejpam-5503	91	9	=	=	PUNCT
ejpam-5503	92	1	id+2γjbraγ	id+2γjbraγ	ADP
ejpam-5503	92	2	−	−	PROPN
ejpam-5503	92	3	2γja	2γja	NUM
ejpam-5503	92	4	(	(	PUNCT
ejpam-5503	92	5	12	12	NUM
ejpam-5503	92	6	)	)	PUNCT
ejpam-5503	93	1	=	=	PUNCT
ejpam-5503	93	2	ta	ta	PROPN
ejpam-5503	93	3	,	,	PUNCT
ejpam-5503	93	4	b	b	PROPN
ejpam-5503	93	5	+	+	CCONJ
ejpam-5503	93	6	(	(	PUNCT
ejpam-5503	93	7	1	1	NUM
ejpam-5503	93	8	−	−	NOUN
ejpam-5503	93	9	2γ)ja	2γ)ja	NUM
ejpam-5503	94	1	−	−	PROPN
ejpam-5503	94	2	jbra	jbra	NOUN
ejpam-5503	94	3	+	+	CCONJ
ejpam-5503	95	1	2γjbraγ	2γjbraγ	NUM
ejpam-5503	95	2	.	.	PUNCT
ejpam-5503	96	1	(	(	PUNCT
ejpam-5503	96	2	13	13	NUM
ejpam-5503	96	3	)	)	PUNCT
ejpam-5503	96	4	additionally	additionally	ADV
ejpam-5503	96	5	,	,	PUNCT
ejpam-5503	96	6	raγ	raγ	NOUN
ejpam-5503	96	7	rbγ	rbγ	NOUN
ejpam-5503	96	8	=	=	PUNCT
ejpam-5503	96	9	id+2jaγ	id+2jaγ	NOUN
ejpam-5503	96	10	rbγ	rbγ	NOUN
ejpam-5503	97	1	−	−	PROPN
ejpam-5503	98	1	2jbγ	2jbγ	PROPN
ejpam-5503	98	2	(	(	PUNCT
ejpam-5503	98	3	14	14	NUM
ejpam-5503	98	4	)	)	PUNCT
ejpam-5503	98	5	=	=	SYM
ejpam-5503	99	1	id+2γjarbγ	id+2γjarbγ	PROPN
ejpam-5503	99	2	−	−	PROPN
ejpam-5503	99	3	2γjb	2γjb	NUM
ejpam-5503	99	4	(	(	PUNCT
ejpam-5503	99	5	15	15	NUM
ejpam-5503	99	6	)	)	PUNCT
ejpam-5503	99	7	=	=	SYM
ejpam-5503	99	8	tb	tb	NOUN
ejpam-5503	99	9	,	,	PUNCT
ejpam-5503	99	10	a	a	PRON
ejpam-5503	99	11	+	+	X
ejpam-5503	99	12	(	(	PUNCT
ejpam-5503	99	13	1	1	NUM
ejpam-5503	99	14	−	−	PROPN
ejpam-5503	99	15	2γ)jb	2γ)jb	NUM
ejpam-5503	99	16	−	−	NOUN
ejpam-5503	99	17	jarb	jarb	NOUN
ejpam-5503	99	18	+	+	X
ejpam-5503	99	19	2γjarbγ	2γjarbγ	NUM
ejpam-5503	99	20	.	.	PUNCT
ejpam-5503	100	1	(	(	PUNCT
ejpam-5503	100	2	16	16	NUM
ejpam-5503	100	3	)	)	PUNCT
ejpam-5503	100	4	moreover	moreover	ADV
ejpam-5503	100	5	,	,	PUNCT
ejpam-5503	100	6	taγ	taγ	NOUN
ejpam-5503	100	7	,	,	PUNCT
ejpam-5503	100	8	bγ	bγ	NOUN
ejpam-5503	100	9	=	=	PUNCT
ejpam-5503	100	10	id+2λjbγ	id+2λjbγ	PROPN
ejpam-5503	100	11	raγ	raγ	NOUN
ejpam-5503	101	1	−	−	PROPN
ejpam-5503	101	2	2λjaγ	2λjaγ	NUM
ejpam-5503	101	3	(	(	PUNCT
ejpam-5503	101	4	17	17	NUM
ejpam-5503	101	5	)	)	PUNCT
ejpam-5503	101	6	=	=	PUNCT
ejpam-5503	102	1	id+2λγjbraγ	id+2λγjbraγ	ADP
ejpam-5503	102	2	−	−	PROPN
ejpam-5503	102	3	2λγja	2λγja	NUM
ejpam-5503	102	4	(	(	PUNCT
ejpam-5503	102	5	18	18	NUM
ejpam-5503	102	6	)	)	PUNCT
ejpam-5503	102	7	=	=	SYM
ejpam-5503	103	1	id+2λγ	id+2λγ	PROPN
ejpam-5503	103	2	(	(	PUNCT
ejpam-5503	103	3	jbraγ	jbraγ	PROPN
ejpam-5503	103	4	−	−	PROPN
ejpam-5503	103	5	ja	ja	PROPN
ejpam-5503	103	6	)	)	PUNCT
ejpam-5503	103	7	(	(	PUNCT
ejpam-5503	103	8	19	19	NUM
ejpam-5503	103	9	)	)	PUNCT
ejpam-5503	104	1	=	=	SYM
ejpam-5503	104	2	ta	ta	PROPN
ejpam-5503	104	3	,	,	PUNCT
ejpam-5503	104	4	b	b	PROPN
ejpam-5503	104	5	+	+	CCONJ
ejpam-5503	104	6	(	(	PUNCT
ejpam-5503	104	7	1	1	NUM
ejpam-5503	104	8	−	−	PRON
ejpam-5503	104	9	2λγ)ja	2λγ)ja	NUM
ejpam-5503	104	10	−	−	NOUN
ejpam-5503	104	11	jbra	jbra	NOUN
ejpam-5503	104	12	+	+	CCONJ
ejpam-5503	105	1	2λγjbraγ	2λγjbraγ	NUM
ejpam-5503	105	2	(	(	PUNCT
ejpam-5503	105	3	20	20	NUM
ejpam-5503	105	4	)	)	PUNCT
ejpam-5503	105	5	=	=	SYM
ejpam-5503	105	6	tb	tb	NOUN
ejpam-5503	105	7	,	,	PUNCT
ejpam-5503	105	8	a	a	PRON
ejpam-5503	105	9	+	+	NOUN
ejpam-5503	105	10	jb	jb	PROPN
ejpam-5503	105	11	−	−	PROPN
ejpam-5503	105	12	jarb	jarb	NOUN
ejpam-5503	106	1	+	+	CCONJ
ejpam-5503	107	1	2λγjbraγ	2λγjbraγ	NUM
ejpam-5503	107	2	−	−	NUM
ejpam-5503	107	3	2λγja	2λγja	NUM
ejpam-5503	107	4	.	.	PUNCT
ejpam-5503	107	5	(	(	PUNCT
ejpam-5503	107	6	21	21	NUM
ejpam-5503	107	7	)	)	PUNCT
ejpam-5503	107	8	furthermore	furthermore	ADV
ejpam-5503	107	9	,	,	PUNCT
ejpam-5503	107	10	tbγ	tbγ	NOUN
ejpam-5503	107	11	,	,	PUNCT
ejpam-5503	107	12	aγ	aγ	PRON
ejpam-5503	107	13	=	=	SYM
ejpam-5503	107	14	id+2λjaγ	id+2λjaγ	PROPN
ejpam-5503	107	15	rbγ	rbγ	NOUN
ejpam-5503	108	1	−	−	PROPN
ejpam-5503	109	1	2λjbγ	2λjbγ	NUM
ejpam-5503	110	1	(	(	PUNCT
ejpam-5503	110	2	22	22	NUM
ejpam-5503	110	3	)	)	PUNCT
ejpam-5503	110	4	=	=	PUNCT
ejpam-5503	111	1	id+2λγjarbγ	id+2λγjarbγ	VERB
ejpam-5503	111	2	−	−	PROPN
ejpam-5503	111	3	2λγjb	2λγjb	NUM
ejpam-5503	111	4	(	(	PUNCT
ejpam-5503	111	5	23	23	NUM
ejpam-5503	111	6	)	)	PUNCT
ejpam-5503	111	7	=	=	SYM
ejpam-5503	112	1	id+2λγ	id+2λγ	PROPN
ejpam-5503	112	2	(	(	PUNCT
ejpam-5503	112	3	jarbγ	jarbγ	NOUN
ejpam-5503	112	4	−	−	PROPN
ejpam-5503	112	5	jb	jb	PROPN
ejpam-5503	112	6	)	)	PUNCT
ejpam-5503	113	1	(	(	PUNCT
ejpam-5503	113	2	24	24	NUM
ejpam-5503	113	3	)	)	PUNCT
ejpam-5503	113	4	=	=	SYM
ejpam-5503	113	5	tb	tb	NOUN
ejpam-5503	113	6	,	,	PUNCT
ejpam-5503	113	7	a	a	PRON
ejpam-5503	113	8	+	+	X
ejpam-5503	113	9	(	(	PUNCT
ejpam-5503	113	10	1	1	NUM
ejpam-5503	113	11	−	−	PROPN
ejpam-5503	113	12	2λγ)jb	2λγ)jb	NUM
ejpam-5503	113	13	−	−	NOUN
ejpam-5503	113	14	jarb	jarb	NOUN
ejpam-5503	113	15	+	+	X
ejpam-5503	113	16	2λγjarbγ	2λγjarbγ	NUM
ejpam-5503	113	17	.	.	PUNCT
ejpam-5503	114	1	(	(	PUNCT
ejpam-5503	114	2	25	25	NUM
ejpam-5503	114	3	)	)	PUNCT
ejpam-5503	114	4	proof	proof	NOUN
ejpam-5503	114	5	.	.	PUNCT
ejpam-5503	115	1	from	from	ADP
ejpam-5503	115	2	(	(	PUNCT
ejpam-5503	115	3	7	7	NUM
ejpam-5503	115	4	)	)	PUNCT
ejpam-5503	115	5	,	,	PUNCT
ejpam-5503	115	6	we	we	PRON
ejpam-5503	115	7	can	can	AUX
ejpam-5503	115	8	conclude	conclude	VERB
ejpam-5503	115	9	:	:	PUNCT
ejpam-5503	115	10	rbγ	rbγ	NOUN
ejpam-5503	115	11	raγ	raγ	NOUN
ejpam-5503	116	1	=	=	PUNCT
ejpam-5503	116	2	(	(	PUNCT
ejpam-5503	116	3	2jbγ	2jbγ	NUM
ejpam-5503	116	4	−	−	NOUN
ejpam-5503	116	5	i	i	PROPN
ejpam-5503	116	6	d	d	PROPN
ejpam-5503	116	7	)	)	PUNCT
ejpam-5503	116	8	raγ	raγ	PROPN
ejpam-5503	116	9	s.	s.	PROPN
ejpam-5503	116	10	th	th	PROPN
ejpam-5503	116	11	.	.	PUNCT
ejpam-5503	117	1	alwadani	alwadani	PROPN
ejpam-5503	117	2	/	/	SYM
ejpam-5503	117	3	eur	eur	PROPN
ejpam-5503	117	4	.	.	PUNCT
ejpam-5503	118	1	j.	j.	PROPN
ejpam-5503	118	2	pure	pure	PROPN
ejpam-5503	118	3	appl	appl	PROPN
ejpam-5503	118	4	.	.	PROPN
ejpam-5503	118	5	math	math	PROPN
ejpam-5503	118	6	,	,	PUNCT
ejpam-5503	118	7	18	18	NUM
ejpam-5503	118	8	(	(	PUNCT
ejpam-5503	118	9	1	1	NUM
ejpam-5503	118	10	)	)	PUNCT
ejpam-5503	118	11	(	(	PUNCT
ejpam-5503	118	12	2025	2025	NUM
ejpam-5503	118	13	)	)	PUNCT
ejpam-5503	118	14	,	,	PUNCT
ejpam-5503	118	15	5503	5503	NUM
ejpam-5503	118	16	5	5	NUM
ejpam-5503	118	17	of	of	ADP
ejpam-5503	118	18	16	16	NUM
ejpam-5503	118	19	=	=	SYM
ejpam-5503	118	20	2jbγ	2jbγ	NUM
ejpam-5503	118	21	raγ	raγ	NOUN
ejpam-5503	119	1	−	−	PROPN
ejpam-5503	119	2	raγ	raγ	NOUN
ejpam-5503	120	1	=	=	SYM
ejpam-5503	121	1	2jbγ	2jbγ	PROPN
ejpam-5503	122	1	raγ	raγ	NOUN
ejpam-5503	122	2	−	−	NOUN
ejpam-5503	123	1	(	(	PUNCT
ejpam-5503	123	2	2jaγ	2jaγ	NUM
ejpam-5503	123	3	−	−	NOUN
ejpam-5503	123	4	i	i	NOUN
ejpam-5503	123	5	d	d	PROPN
ejpam-5503	123	6	)	)	PUNCT
ejpam-5503	124	1	=	=	PUNCT
ejpam-5503	124	2	id+2jbγ	id+2jbγ	PROPN
ejpam-5503	124	3	raγ	raγ	NOUN
ejpam-5503	124	4	−	−	PROPN
ejpam-5503	124	5	2jaγ	2jaγ	PROPN
ejpam-5503	124	6	,	,	PUNCT
ejpam-5503	124	7	this	this	PRON
ejpam-5503	124	8	establishes	establish	VERB
ejpam-5503	124	9	(	(	PUNCT
ejpam-5503	124	10	11	11	NUM
ejpam-5503	124	11	)	)	PUNCT
ejpam-5503	124	12	.	.	PUNCT
ejpam-5503	125	1	additionally	additionally	ADV
ejpam-5503	125	2	,	,	PUNCT
ejpam-5503	125	3	from	from	ADP
ejpam-5503	125	4	(	(	PUNCT
ejpam-5503	125	5	6	6	NUM
ejpam-5503	125	6	)	)	PUNCT
ejpam-5503	125	7	and	and	CCONJ
ejpam-5503	125	8	(	(	PUNCT
ejpam-5503	125	9	11	11	NUM
ejpam-5503	125	10	)	)	PUNCT
ejpam-5503	125	11	,	,	PUNCT
ejpam-5503	125	12	we	we	PRON
ejpam-5503	125	13	have	have	VERB
ejpam-5503	125	14	:	:	PUNCT
ejpam-5503	125	15	rbγ	rbγ	NOUN
ejpam-5503	125	16	raγ	raγ	NOUN
ejpam-5503	125	17	=	=	SYM
ejpam-5503	125	18	id+2	id+2	PROPN
ejpam-5503	125	19	(	(	PUNCT
ejpam-5503	125	20	γjb	γjb	VERB
ejpam-5503	125	21	+	+	X
ejpam-5503	125	22	(	(	PUNCT
ejpam-5503	125	23	1	1	NUM
ejpam-5503	125	24	−	−	NOUN
ejpam-5503	125	25	γ)w	γ)w	PUNCT
ejpam-5503	125	26	)	)	PUNCT
ejpam-5503	126	1	raγ	raγ	NOUN
ejpam-5503	127	1	−	−	NOUN
ejpam-5503	127	2	2	2	NUM
ejpam-5503	127	3	(	(	PUNCT
ejpam-5503	127	4	γja	γja	NOUN
ejpam-5503	127	5	+	+	CCONJ
ejpam-5503	127	6	(	(	PUNCT
ejpam-5503	127	7	1	1	NUM
ejpam-5503	127	8	−	−	NOUN
ejpam-5503	127	9	γ)w	γ)w	PUNCT
ejpam-5503	127	10	)	)	PUNCT
ejpam-5503	128	1	=	=	PUNCT
ejpam-5503	128	2	id+2γjbraγ	id+2γjbraγ	ADP
ejpam-5503	128	3	+	+	NUM
ejpam-5503	128	4	2(1	2(1	NUM
ejpam-5503	128	5	−	−	NOUN
ejpam-5503	128	6	γ)w	γ)w	PUNCT
ejpam-5503	129	1	−	−	PROPN
ejpam-5503	130	1	2γja	2γja	NUM
ejpam-5503	130	2	−	−	PROPN
ejpam-5503	130	3	2(1	2(1	NUM
ejpam-5503	130	4	−	−	NOUN
ejpam-5503	130	5	γ)w	γ)w	PUNCT
ejpam-5503	131	1	=	=	PUNCT
ejpam-5503	131	2	id+2γjbraγ	id+2γjbraγ	ADP
ejpam-5503	131	3	−	−	PROPN
ejpam-5503	131	4	2γja	2γja	NUM
ejpam-5503	131	5	,	,	PUNCT
ejpam-5503	131	6	this	this	PRON
ejpam-5503	131	7	confirms	confirm	VERB
ejpam-5503	131	8	(	(	PUNCT
ejpam-5503	131	9	12	12	NUM
ejpam-5503	131	10	)	)	PUNCT
ejpam-5503	131	11	.	.	PUNCT
ejpam-5503	132	1	furthermore	furthermore	ADV
ejpam-5503	132	2	,	,	PUNCT
ejpam-5503	132	3	from	from	ADP
ejpam-5503	132	4	fact	fact	NOUN
ejpam-5503	132	5	3	3	NUM
ejpam-5503	132	6	,	,	PUNCT
ejpam-5503	132	7	we	we	PRON
ejpam-5503	132	8	have	have	VERB
ejpam-5503	132	9	:	:	PUNCT
ejpam-5503	133	1	rbγ	rbγ	NOUN
ejpam-5503	133	2	raγ	raγ	NOUN
ejpam-5503	133	3	=	=	SYM
ejpam-5503	133	4	ta	ta	PROPN
ejpam-5503	133	5	,	,	PUNCT
ejpam-5503	133	6	b	b	PROPN
ejpam-5503	134	1	+	+	CCONJ
ejpam-5503	135	1	ja	ja	PROPN
ejpam-5503	135	2	−	−	PROPN
ejpam-5503	135	3	jbra	jbra	NOUN
ejpam-5503	135	4	+	+	CCONJ
ejpam-5503	136	1	2γjbraγ	2γjbraγ	NUM
ejpam-5503	136	2	−	−	NOUN
ejpam-5503	137	1	2γja	2γja	NUM
ejpam-5503	137	2	=	=	SYM
ejpam-5503	137	3	ta	ta	PROPN
ejpam-5503	137	4	,	,	PUNCT
ejpam-5503	137	5	b	b	PROPN
ejpam-5503	137	6	+	+	CCONJ
ejpam-5503	137	7	(	(	PUNCT
ejpam-5503	137	8	1	1	NUM
ejpam-5503	137	9	−	−	NOUN
ejpam-5503	137	10	2γ)ja	2γ)ja	NUM
ejpam-5503	138	1	−	−	PROPN
ejpam-5503	138	2	jbra	jbra	NOUN
ejpam-5503	138	3	+	+	CCONJ
ejpam-5503	139	1	2γjbraγ	2γjbraγ	NUM
ejpam-5503	139	2	.	.	PUNCT
ejpam-5503	140	1	this	this	PRON
ejpam-5503	140	2	confirms	confirm	VERB
ejpam-5503	140	3	(	(	PUNCT
ejpam-5503	140	4	13	13	NUM
ejpam-5503	140	5	)	)	PUNCT
ejpam-5503	140	6	.	.	PUNCT
ejpam-5503	141	1	the	the	DET
ejpam-5503	141	2	proof	proof	NOUN
ejpam-5503	141	3	for	for	ADP
ejpam-5503	141	4	raγ	raγ	NOUN
ejpam-5503	141	5	rbγ	rbγ	NOUN
ejpam-5503	141	6	follows	follow	VERB
ejpam-5503	141	7	similarly	similarly	ADV
ejpam-5503	141	8	to	to	ADP
ejpam-5503	141	9	that	that	PRON
ejpam-5503	141	10	of	of	ADP
ejpam-5503	141	11	rbγ	rbγ	NOUN
ejpam-5503	141	12	raγ	raγ	NOUN
ejpam-5503	141	13	.	.	PUNCT
ejpam-5503	142	1	from	from	ADP
ejpam-5503	142	2	(	(	PUNCT
ejpam-5503	142	3	8)	8)	NUM
ejpam-5503	142	4	,	,	PUNCT
ejpam-5503	142	5	we	we	PRON
ejpam-5503	142	6	find	find	VERB
ejpam-5503	142	7	:	:	PUNCT
ejpam-5503	142	8	taγ	taγ	NOUN
ejpam-5503	142	9	,	,	PUNCT
ejpam-5503	142	10	bγ	bγ	NOUN
ejpam-5503	142	11	=	=	PUNCT
ejpam-5503	142	12	(	(	PUNCT
ejpam-5503	142	13	1	1	NUM
ejpam-5503	142	14	−	−	PROPN
ejpam-5503	142	15	λ	λ	NOUN
ejpam-5503	142	16	)	)	PUNCT
ejpam-5503	142	17	id+λrbγ	id+λrbγ	ADJ
ejpam-5503	142	18	raγ	raγ	NOUN
ejpam-5503	142	19	=	=	SYM
ejpam-5503	142	20	(	(	PUNCT
ejpam-5503	142	21	1	1	NUM
ejpam-5503	142	22	−	−	PROPN
ejpam-5503	142	23	λ	λ	PROPN
ejpam-5503	142	24	)	)	PUNCT
ejpam-5503	142	25	id+λ	id+λ	PROPN
ejpam-5503	142	26	(	(	PUNCT
ejpam-5503	142	27	id+2jbγ	id+2jbγ	NOUN
ejpam-5503	142	28	raγ	raγ	NOUN
ejpam-5503	142	29	−	−	PROPN
ejpam-5503	142	30	2jaγ	2jaγ	PROPN
ejpam-5503	142	31	)	)	PUNCT
ejpam-5503	142	32	(	(	PUNCT
ejpam-5503	142	33	from(11	from(11	NOUN
ejpam-5503	142	34	)	)	PUNCT
ejpam-5503	142	35	)	)	PUNCT
ejpam-5503	143	1	=	=	PUNCT
ejpam-5503	143	2	id+2λjbγ	id+2λjbγ	PROPN
ejpam-5503	143	3	raγ	raγ	NOUN
ejpam-5503	144	1	−	−	PROPN
ejpam-5503	144	2	2λjaγ	2λjaγ	NUM
ejpam-5503	144	3	,	,	PUNCT
ejpam-5503	144	4	this	this	PRON
ejpam-5503	144	5	confirms	confirm	VERB
ejpam-5503	144	6	(	(	PUNCT
ejpam-5503	144	7	17	17	NUM
ejpam-5503	144	8	)	)	PUNCT
ejpam-5503	144	9	.	.	PUNCT
ejpam-5503	145	1	utilizing	utilize	VERB
ejpam-5503	145	2	(	(	PUNCT
ejpam-5503	145	3	6	6	NUM
ejpam-5503	145	4	)	)	PUNCT
ejpam-5503	145	5	and	and	CCONJ
ejpam-5503	145	6	(	(	PUNCT
ejpam-5503	145	7	17	17	NUM
ejpam-5503	145	8	)	)	PUNCT
ejpam-5503	145	9	,	,	PUNCT
ejpam-5503	145	10	we	we	PRON
ejpam-5503	145	11	derive	derive	VERB
ejpam-5503	145	12	:	:	PUNCT
ejpam-5503	145	13	taγ	taγ	NOUN
ejpam-5503	145	14	,	,	PUNCT
ejpam-5503	145	15	bγ	bγ	PROPN
ejpam-5503	145	16	=	=	SYM
ejpam-5503	146	1	id+2λ	id+2λ	ADV
ejpam-5503	146	2	(	(	PUNCT
ejpam-5503	146	3	γjb	γjb	VERB
ejpam-5503	146	4	+	+	X
ejpam-5503	146	5	(	(	PUNCT
ejpam-5503	146	6	1	1	NUM
ejpam-5503	146	7	−	−	NOUN
ejpam-5503	146	8	γ)w	γ)w	PUNCT
ejpam-5503	146	9	)	)	PUNCT
ejpam-5503	147	1	raγ	raγ	NOUN
ejpam-5503	148	1	−	−	PROPN
ejpam-5503	148	2	2λ	2λ	PROPN
ejpam-5503	148	3	(	(	PUNCT
ejpam-5503	148	4	γja	γja	PROPN
ejpam-5503	148	5	+	+	CCONJ
ejpam-5503	148	6	(	(	PUNCT
ejpam-5503	148	7	1	1	NUM
ejpam-5503	148	8	−	−	NOUN
ejpam-5503	148	9	γ)w	γ)w	PUNCT
ejpam-5503	148	10	)	)	PUNCT
ejpam-5503	149	1	=	=	PUNCT
ejpam-5503	149	2	id+2λγjbraγ	id+2λγjbraγ	ADP
ejpam-5503	149	3	+	+	NUM
ejpam-5503	149	4	2λ(1	2λ(1	NUM
ejpam-5503	149	5	−	−	NOUN
ejpam-5503	149	6	γ)w	γ)w	PUNCT
ejpam-5503	150	1	−	−	PROPN
ejpam-5503	150	2	2λγja	2λγja	NUM
ejpam-5503	150	3	−	−	PROPN
ejpam-5503	150	4	2λ(1	2λ(1	NUM
ejpam-5503	150	5	−	−	NOUN
ejpam-5503	150	6	γ)w	γ)w	PUNCT
ejpam-5503	151	1	=	=	PUNCT
ejpam-5503	151	2	id+2λγjbraγ	id+2λγjbraγ	ADP
ejpam-5503	151	3	−	−	PROPN
ejpam-5503	151	4	2λγja	2λγja	NUM
ejpam-5503	151	5	.	.	PUNCT
ejpam-5503	152	1	=	=	PRON
ejpam-5503	152	2	id+2λγ	id+2λγ	PROPN
ejpam-5503	152	3	(	(	PUNCT
ejpam-5503	152	4	jbraγ	jbraγ	PROPN
ejpam-5503	152	5	−	−	PROPN
ejpam-5503	152	6	ja	ja	PROPN
ejpam-5503	152	7	)	)	PUNCT
ejpam-5503	153	1	this	this	PRON
ejpam-5503	153	2	confirms	confirm	VERB
ejpam-5503	153	3	(	(	PUNCT
ejpam-5503	153	4	18	18	NUM
ejpam-5503	153	5	)	)	PUNCT
ejpam-5503	153	6	and	and	CCONJ
ejpam-5503	153	7	(	(	PUNCT
ejpam-5503	153	8	19	19	NUM
ejpam-5503	153	9	)	)	PUNCT
ejpam-5503	153	10	.	.	PUNCT
ejpam-5503	154	1	finally	finally	ADV
ejpam-5503	154	2	,	,	PUNCT
ejpam-5503	154	3	from	from	ADP
ejpam-5503	154	4	(	(	PUNCT
ejpam-5503	154	5	18	18	NUM
ejpam-5503	154	6	)	)	PUNCT
ejpam-5503	154	7	and	and	CCONJ
ejpam-5503	154	8	(	(	PUNCT
ejpam-5503	154	9	9	9	NUM
ejpam-5503	154	10	)	)	PUNCT
ejpam-5503	154	11	,	,	PUNCT
ejpam-5503	154	12	we	we	PRON
ejpam-5503	154	13	derive	derive	VERB
ejpam-5503	154	14	:	:	PUNCT
ejpam-5503	154	15	taγ	taγ	NOUN
ejpam-5503	154	16	,	,	PUNCT
ejpam-5503	154	17	bγ	bγ	PROPN
ejpam-5503	154	18	=	=	SYM
ejpam-5503	154	19	ta	ta	PROPN
ejpam-5503	154	20	,	,	PUNCT
ejpam-5503	154	21	b	b	PROPN
ejpam-5503	154	22	+	+	CCONJ
ejpam-5503	154	23	ja	ja	PROPN
ejpam-5503	154	24	−	−	PROPN
ejpam-5503	154	25	jbra	jbra	PROPN
ejpam-5503	154	26	+	+	CCONJ
ejpam-5503	155	1	2λγjbraγ	2λγjbraγ	NUM
ejpam-5503	155	2	−	−	NUM
ejpam-5503	155	3	2λγja	2λγja	NUM
ejpam-5503	155	4	=	=	SYM
ejpam-5503	155	5	ta	ta	PROPN
ejpam-5503	155	6	,	,	PUNCT
ejpam-5503	155	7	b	b	PROPN
ejpam-5503	155	8	+	+	CCONJ
ejpam-5503	155	9	(	(	PUNCT
ejpam-5503	155	10	1	1	NUM
ejpam-5503	155	11	−	−	PRON
ejpam-5503	155	12	2λγ)ja	2λγ)ja	NUM
ejpam-5503	155	13	−	−	NOUN
ejpam-5503	155	14	jbra	jbra	NOUN
ejpam-5503	155	15	+	+	CCONJ
ejpam-5503	156	1	2λγjbraγ	2λγjbraγ	NUM
ejpam-5503	156	2	.	.	PUNCT
ejpam-5503	157	1	by	by	ADP
ejpam-5503	157	2	merging	merge	VERB
ejpam-5503	157	3	(	(	PUNCT
ejpam-5503	157	4	10	10	NUM
ejpam-5503	157	5	)	)	PUNCT
ejpam-5503	157	6	and	and	CCONJ
ejpam-5503	157	7	(	(	PUNCT
ejpam-5503	157	8	18	18	NUM
ejpam-5503	157	9	)	)	PUNCT
ejpam-5503	157	10	,	,	PUNCT
ejpam-5503	157	11	we	we	PRON
ejpam-5503	157	12	obtain	obtain	VERB
ejpam-5503	157	13	(	(	PUNCT
ejpam-5503	157	14	21	21	NUM
ejpam-5503	157	15	)	)	PUNCT
ejpam-5503	157	16	.	.	PUNCT
ejpam-5503	158	1	the	the	DET
ejpam-5503	158	2	proof	proof	NOUN
ejpam-5503	158	3	for	for	ADP
ejpam-5503	158	4	tbγ	tbγ	NOUN
ejpam-5503	158	5	,	,	PUNCT
ejpam-5503	158	6	aγ	aγ	PRON
ejpam-5503	158	7	follows	follow	VERB
ejpam-5503	158	8	a	a	DET
ejpam-5503	158	9	similar	similar	ADJ
ejpam-5503	158	10	approach	approach	NOUN
ejpam-5503	158	11	to	to	ADP
ejpam-5503	158	12	that	that	PRON
ejpam-5503	158	13	of	of	ADP
ejpam-5503	158	14	taγ	taγ	NOUN
ejpam-5503	158	15	,	,	PUNCT
ejpam-5503	158	16	bγ	bγ	ADV
ejpam-5503	158	17	.	.	PUNCT
ejpam-5503	159	1	■	■	PUNCT
ejpam-5503	159	2	example	example	NOUN
ejpam-5503	159	3	1	1	X
ejpam-5503	159	4	.	.	PUNCT
ejpam-5503	160	1	let	let	VERB
ejpam-5503	160	2	w	w	PROPN
ejpam-5503	160	3	∈	∈	PROPN
ejpam-5503	160	4	h	h	NOUN
ejpam-5503	160	5	,	,	PUNCT
ejpam-5503	160	6	u	u	PRON
ejpam-5503	160	7	be	be	VERB
ejpam-5503	160	8	a	a	DET
ejpam-5503	160	9	closed	closed	ADJ
ejpam-5503	160	10	linear	linear	ADJ
ejpam-5503	160	11	subspace	subspace	NOUN
ejpam-5503	160	12	,	,	PUNCT
ejpam-5503	160	13	γ	γ	X
ejpam-5503	160	14	∈	∈	PROPN
ejpam-5503	160	15	]	]	X
ejpam-5503	160	16	0	0	NUM
ejpam-5503	160	17	,	,	PUNCT
ejpam-5503	160	18	1	1	NUM
ejpam-5503	160	19	[	[	NOUN
ejpam-5503	160	20	,	,	PUNCT
ejpam-5503	160	21	and	and	CCONJ
ejpam-5503	160	22	λ	λ	X
ejpam-5503	160	23	∈	∈	PROPN
ejpam-5503	160	24	]	]	X
ejpam-5503	160	25	0	0	NUM
ejpam-5503	160	26	,	,	PUNCT
ejpam-5503	160	27	1	1	NUM
ejpam-5503	160	28	]	]	PUNCT
ejpam-5503	160	29	.	.	PUNCT
ejpam-5503	161	1	assume	assume	VERB
ejpam-5503	161	2	a	a	DET
ejpam-5503	161	3	=	=	X
ejpam-5503	161	4	id−v	id−v	PROPN
ejpam-5503	161	5	,	,	PUNCT
ejpam-5503	161	6	where	where	SCONJ
ejpam-5503	161	7	v	v	AUX
ejpam-5503	161	8	∈	∈	PROPN
ejpam-5503	161	9	u⊥	u⊥	PROPN
ejpam-5503	161	10	,	,	PUNCT
ejpam-5503	161	11	and	and	CCONJ
ejpam-5503	161	12	b	b	X
ejpam-5503	161	13	=	=	SYM
ejpam-5503	161	14	pa+u	pa+u	PROPN
ejpam-5503	161	15	for	for	ADP
ejpam-5503	161	16	some	some	PRON
ejpam-5503	161	17	a	a	DET
ejpam-5503	161	18	∈	∈	PROPN
ejpam-5503	161	19	h.	h.	NOUN
ejpam-5503	161	20	from	from	ADP
ejpam-5503	161	21	(	(	PUNCT
ejpam-5503	161	22	9	9	NUM
ejpam-5503	161	23	)	)	PUNCT
ejpam-5503	161	24	,	,	PUNCT
ejpam-5503	161	25	we	we	PRON
ejpam-5503	161	26	have	have	VERB
ejpam-5503	161	27	ta	ta	ADP
ejpam-5503	161	28	,	,	PUNCT
ejpam-5503	161	29	b	b	NOUN
ejpam-5503	161	30	=	=	PUNCT
ejpam-5503	161	31	id−ja	id−ja	NOUN
ejpam-5503	161	32	+	+	CCONJ
ejpam-5503	161	33	jbra	jbra	NOUN
ejpam-5503	161	34	,	,	PUNCT
ejpam-5503	161	35	and	and	CCONJ
ejpam-5503	161	36	from	from	ADP
ejpam-5503	161	37	(	(	PUNCT
ejpam-5503	161	38	8)	8)	NUM
ejpam-5503	161	39	,	,	PUNCT
ejpam-5503	161	40	it	it	PRON
ejpam-5503	161	41	follows	follow	VERB
ejpam-5503	161	42	that	that	SCONJ
ejpam-5503	161	43	taγ	taγ	NOUN
ejpam-5503	161	44	,	,	PUNCT
ejpam-5503	161	45	bγ	bγ	PROPN
ejpam-5503	161	46	=	=	PUNCT
ejpam-5503	161	47	(	(	PUNCT
ejpam-5503	161	48	1	1	NUM
ejpam-5503	161	49	−	−	PROPN
ejpam-5503	161	50	λ	λ	PROPN
ejpam-5503	161	51	)	)	PUNCT
ejpam-5503	161	52	id+λ	id+λ	PROPN
ejpam-5503	161	53	(	(	PUNCT
ejpam-5503	161	54	rbγ	rbγ	NOUN
ejpam-5503	161	55	raγ	raγ	PROPN
ejpam-5503	161	56	)	)	PUNCT
ejpam-5503	161	57	.	.	PUNCT
ejpam-5503	162	1	the	the	DET
ejpam-5503	162	2	following	follow	VERB
ejpam-5503	162	3	statements	statement	NOUN
ejpam-5503	162	4	hold	hold	VERB
ejpam-5503	162	5	:	:	PUNCT
ejpam-5503	162	6	s.	s.	PROPN
ejpam-5503	162	7	th	th	PROPN
ejpam-5503	162	8	.	.	PUNCT
ejpam-5503	163	1	alwadani	alwadani	PROPN
ejpam-5503	163	2	/	/	SYM
ejpam-5503	163	3	eur	eur	PROPN
ejpam-5503	163	4	.	.	PUNCT
ejpam-5503	164	1	j.	j.	PROPN
ejpam-5503	164	2	pure	pure	PROPN
ejpam-5503	164	3	appl	appl	PROPN
ejpam-5503	164	4	.	.	PROPN
ejpam-5503	164	5	math	math	PROPN
ejpam-5503	164	6	,	,	PUNCT
ejpam-5503	164	7	18	18	NUM
ejpam-5503	164	8	(	(	PUNCT
ejpam-5503	164	9	1	1	NUM
ejpam-5503	164	10	)	)	PUNCT
ejpam-5503	164	11	(	(	PUNCT
ejpam-5503	164	12	2025	2025	NUM
ejpam-5503	164	13	)	)	PUNCT
ejpam-5503	164	14	,	,	PUNCT
ejpam-5503	164	15	5503	5503	NUM
ejpam-5503	164	16	6	6	NUM
ejpam-5503	164	17	of	of	ADP
ejpam-5503	164	18	16	16	NUM
ejpam-5503	164	19	(	(	PUNCT
ejpam-5503	164	20	i	i	NOUN
ejpam-5503	164	21	)	)	PUNCT
ejpam-5503	164	22	ja	ja	PROPN
ejpam-5503	165	1	=	=	PUNCT
ejpam-5503	165	2	(	(	PUNCT
ejpam-5503	165	3	(	(	PUNCT
ejpam-5503	165	4	id+v)/2	id+v)/2	NOUN
ejpam-5503	165	5	)	)	PUNCT
ejpam-5503	165	6	and	and	CCONJ
ejpam-5503	165	7	ra	ra	PROPN
ejpam-5503	166	1	=	=	PROPN
ejpam-5503	166	2	v.	v.	PROPN
ejpam-5503	166	3	(	(	PUNCT
ejpam-5503	166	4	ii	ii	NOUN
ejpam-5503	166	5	)	)	PUNCT
ejpam-5503	166	6	jaγ	jaγ	NOUN
ejpam-5503	166	7	=	=	PUNCT
ejpam-5503	166	8	γ	γ	X
ejpam-5503	166	9	(	(	PUNCT
ejpam-5503	166	10	(	(	PUNCT
ejpam-5503	166	11	id+v)/2	id+v)/2	NOUN
ejpam-5503	166	12	)	)	PUNCT
ejpam-5503	167	1	+	+	CCONJ
ejpam-5503	167	2	(	(	PUNCT
ejpam-5503	167	3	1	1	NUM
ejpam-5503	167	4	−	−	NOUN
ejpam-5503	167	5	γ)w	γ)w	NOUN
ejpam-5503	167	6	.	.	PUNCT
ejpam-5503	168	1	moreover	moreover	ADV
ejpam-5503	168	2	,	,	PUNCT
ejpam-5503	168	3	raγ	raγ	NOUN
ejpam-5503	168	4	=	=	PUNCT
ejpam-5503	168	5	γv	γv	X
ejpam-5503	168	6	−	−	PROPN
ejpam-5503	168	7	(	(	PUNCT
ejpam-5503	168	8	1	1	NUM
ejpam-5503	168	9	−	−	PROPN
ejpam-5503	168	10	γ	γ	X
ejpam-5503	168	11	)	)	PUNCT
ejpam-5503	168	12	id+2(1	id+2(1	X
ejpam-5503	169	1	−	−	NOUN
ejpam-5503	169	2	γ)w	γ)w	NUM
ejpam-5503	169	3	.	.	PUNCT
ejpam-5503	170	1	(	(	PUNCT
ejpam-5503	170	2	iii	iii	X
ejpam-5503	170	3	)	)	PUNCT
ejpam-5503	170	4	jb	jb	NOUN
ejpam-5503	170	5	=	=	PUNCT
ejpam-5503	170	6	(	(	PUNCT
ejpam-5503	170	7	id−	id−	NUM
ejpam-5503	170	8	1	1	NUM
ejpam-5503	170	9	2	2	NUM
ejpam-5503	170	10	pu	pu	NOUN
ejpam-5503	170	11	)	)	PUNCT
ejpam-5503	171	1	−	−	PROPN
ejpam-5503	172	1	pu⊥	pu⊥	PROPN
ejpam-5503	172	2	a	a	PRON
ejpam-5503	172	3	and	and	CCONJ
ejpam-5503	172	4	rb	rb	NOUN
ejpam-5503	172	5	=	=	PUNCT
ejpam-5503	172	6	(	(	PUNCT
ejpam-5503	172	7	id−pu	id−pu	X
ejpam-5503	172	8	)	)	PUNCT
ejpam-5503	173	1	−	−	PROPN
ejpam-5503	173	2	2	2	NUM
ejpam-5503	173	3	pu⊥	pu⊥	PROPN
ejpam-5503	173	4	a.	a.	NOUN
ejpam-5503	173	5	(	(	PUNCT
ejpam-5503	173	6	iv	iv	X
ejpam-5503	173	7	)	)	PUNCT
ejpam-5503	173	8	we	we	PRON
ejpam-5503	173	9	have	have	VERB
ejpam-5503	173	10	jbγ	jbγ	NOUN
ejpam-5503	173	11	=	=	SYM
ejpam-5503	173	12	γ	γ	X
ejpam-5503	173	13	(	(	PUNCT
ejpam-5503	173	14	(	(	PUNCT
ejpam-5503	173	15	id−1	id−1	PROPN
ejpam-5503	173	16	2	2	NUM
ejpam-5503	173	17	pu	pu	NOUN
ejpam-5503	173	18	)	)	PUNCT
ejpam-5503	173	19	−	−	PROPN
ejpam-5503	174	1	pu⊥	pu⊥	NOUN
ejpam-5503	174	2	a	a	PRON
ejpam-5503	174	3	)	)	PUNCT
ejpam-5503	175	1	+	+	CCONJ
ejpam-5503	175	2	(	(	PUNCT
ejpam-5503	175	3	1	1	NUM
ejpam-5503	175	4	−	−	NOUN
ejpam-5503	175	5	γ)w	γ)w	NOUN
ejpam-5503	175	6	,	,	PUNCT
ejpam-5503	175	7	and	and	CCONJ
ejpam-5503	175	8	rbγ	rbγ	NOUN
ejpam-5503	175	9	=	=	SYM
ejpam-5503	175	10	(	(	PUNCT
ejpam-5503	175	11	2γ	2γ	NUM
ejpam-5503	175	12	−	−	PROPN
ejpam-5503	175	13	1	1	X
ejpam-5503	175	14	)	)	PUNCT
ejpam-5503	175	15	id−γ	id−γ	ADJ
ejpam-5503	175	16	pu	pu	PROPN
ejpam-5503	175	17	−2γ	−2γ	PUNCT
ejpam-5503	175	18	pu⊥	pu⊥	PROPN
ejpam-5503	175	19	a	a	DET
ejpam-5503	175	20	+	+	NOUN
ejpam-5503	175	21	2(1	2(1	NUM
ejpam-5503	175	22	−	−	NOUN
ejpam-5503	175	23	γ)w	γ)w	NOUN
ejpam-5503	175	24	.	.	PUNCT
ejpam-5503	176	1	(	(	PUNCT
ejpam-5503	176	2	v	v	NOUN
ejpam-5503	176	3	)	)	PUNCT
ejpam-5503	176	4	ta	ta	ADP
ejpam-5503	176	5	,	,	PUNCT
ejpam-5503	176	6	b	b	PROPN
ejpam-5503	176	7	=	=	SYM
ejpam-5503	176	8	(	(	PUNCT
ejpam-5503	176	9	(	(	PUNCT
ejpam-5503	176	10	id+v)/2	id+v)/2	NOUN
ejpam-5503	176	11	)	)	PUNCT
ejpam-5503	176	12	−	−	PROPN
ejpam-5503	177	1	pu⊥	pu⊥	PROPN
ejpam-5503	177	2	a.	a.	NOUN
ejpam-5503	177	3	(	(	PUNCT
ejpam-5503	177	4	vi	vi	NOUN
ejpam-5503	177	5	)	)	PUNCT
ejpam-5503	177	6	tb	tb	NOUN
ejpam-5503	177	7	,	,	PUNCT
ejpam-5503	177	8	a	a	DET
ejpam-5503	177	9	=	=	X
ejpam-5503	177	10	(	(	PUNCT
ejpam-5503	177	11	(	(	PUNCT
ejpam-5503	177	12	id+v)/2	id+v)/2	NOUN
ejpam-5503	177	13	)	)	PUNCT
ejpam-5503	177	14	.	.	PUNCT
ejpam-5503	178	1	(	(	PUNCT
ejpam-5503	178	2	vii	vii	PROPN
ejpam-5503	178	3	)	)	PUNCT
ejpam-5503	178	4	jbra	jbra	PROPN
ejpam-5503	178	5	=	=	SYM
ejpam-5503	178	6	v	v	ADP
ejpam-5503	178	7	−	−	PROPN
ejpam-5503	178	8	pu⊥	pu⊥	PROPN
ejpam-5503	178	9	a.	a.	NOUN
ejpam-5503	178	10	(	(	PUNCT
ejpam-5503	178	11	viii	viii	PROPN
ejpam-5503	178	12	)	)	PUNCT
ejpam-5503	178	13	jarb	jarb	NOUN
ejpam-5503	178	14	=	=	PUNCT
ejpam-5503	178	15	(	(	PUNCT
ejpam-5503	178	16	(	(	PUNCT
ejpam-5503	178	17	id+v)/2	id+v)/2	NOUN
ejpam-5503	178	18	)	)	PUNCT
ejpam-5503	178	19	−	−	PROPN
ejpam-5503	179	1	(	(	PUNCT
ejpam-5503	179	2	pu	pu	PROPN
ejpam-5503	179	3	/2)−	/2)−	PROPN
ejpam-5503	180	1	pu⊥	pu⊥	PROPN
ejpam-5503	180	2	a.	a.	NOUN
ejpam-5503	180	3	(	(	PUNCT
ejpam-5503	180	4	ix	ix	PROPN
ejpam-5503	180	5	)	)	PUNCT
ejpam-5503	180	6	jbraγ	jbraγ	NOUN
ejpam-5503	180	7	=	=	PUNCT
ejpam-5503	181	1	γv	γv	PRON
ejpam-5503	181	2	+	+	CCONJ
ejpam-5503	181	3	(	(	PUNCT
ejpam-5503	181	4	1	1	NUM
ejpam-5503	181	5	−	−	PROPN
ejpam-5503	181	6	γ	γ	X
ejpam-5503	181	7	)	)	PUNCT
ejpam-5503	181	8	(	(	PUNCT
ejpam-5503	181	9	(	(	PUNCT
ejpam-5503	181	10	1	1	NUM
ejpam-5503	181	11	2	2	NUM
ejpam-5503	181	12	pu	pu	NOUN
ejpam-5503	181	13	−	−	PROPN
ejpam-5503	182	1	i	i	PROPN
ejpam-5503	182	2	d	d	PROPN
ejpam-5503	182	3	)	)	PUNCT
ejpam-5503	183	1	−	−	PROPN
ejpam-5503	184	1	(	(	PUNCT
ejpam-5503	184	2	pu	pu	PROPN
ejpam-5503	184	3	−2	−2	PROPN
ejpam-5503	184	4	i	i	PROPN
ejpam-5503	184	5	d	d	PROPN
ejpam-5503	184	6	)	)	PUNCT
ejpam-5503	184	7	w	w	X
ejpam-5503	184	8	)	)	PUNCT
ejpam-5503	184	9	−	−	PROPN
ejpam-5503	185	1	pu⊥	pu⊥	NOUN
ejpam-5503	185	2	a.	a.	NOUN
ejpam-5503	185	3	(	(	PUNCT
ejpam-5503	185	4	x	x	X
ejpam-5503	185	5	)	)	PUNCT
ejpam-5503	185	6	jarbγ	jarbγ	NOUN
ejpam-5503	185	7	=	=	SYM
ejpam-5503	185	8	1	1	NUM
ejpam-5503	185	9	2	2	NUM
ejpam-5503	185	10	(	(	PUNCT
ejpam-5503	185	11	(	(	PUNCT
ejpam-5503	185	12	2γ	2γ	NUM
ejpam-5503	185	13	−	−	PROPN
ejpam-5503	185	14	1	1	X
ejpam-5503	185	15	)	)	PUNCT
ejpam-5503	185	16	id−γ	id−γ	ADJ
ejpam-5503	185	17	pu	pu	PROPN
ejpam-5503	185	18	−2γ	−2γ	PUNCT
ejpam-5503	185	19	pu⊥	pu⊥	PROPN
ejpam-5503	185	20	a	a	DET
ejpam-5503	185	21	+	+	NOUN
ejpam-5503	185	22	2(1	2(1	NUM
ejpam-5503	185	23	−	−	NOUN
ejpam-5503	185	24	γ)w	γ)w	PUNCT
ejpam-5503	186	1	+	+	CCONJ
ejpam-5503	186	2	v	v	NOUN
ejpam-5503	186	3	)	)	PUNCT
ejpam-5503	186	4	.	.	PUNCT
ejpam-5503	187	1	(	(	PUNCT
ejpam-5503	187	2	xi	xi	X
ejpam-5503	187	3	)	)	PUNCT
ejpam-5503	187	4	suppose	suppose	VERB
ejpam-5503	187	5	k	k	X
ejpam-5503	187	6	:	:	PUNCT
ejpam-5503	187	7	=	=	X
ejpam-5503	187	8	λγ	λγ	X
ejpam-5503	187	9	[	[	PUNCT
ejpam-5503	187	10	(	(	PUNCT
ejpam-5503	187	11	2γ	2γ	NUM
ejpam-5503	187	12	−	−	PROPN
ejpam-5503	187	13	1)v	1)v	NUM
ejpam-5503	187	14	+	+	NUM
ejpam-5503	187	15	4(1	4(1	NUM
ejpam-5503	187	16	−	−	NOUN
ejpam-5503	187	17	γ)w	γ)w	PUNCT
ejpam-5503	187	18	−	−	PROPN
ejpam-5503	187	19	2(1	2(1	NUM
ejpam-5503	187	20	−	−	PUNCT
ejpam-5503	188	1	γ)pu	γ)pu	NOUN
ejpam-5503	188	2	w	w	ADP
ejpam-5503	188	3	−	−	NOUN
ejpam-5503	188	4	2	2	NUM
ejpam-5503	188	5	pu⊥	pu⊥	NOUN
ejpam-5503	188	6	a	a	PRON
ejpam-5503	188	7	]	]	PUNCT
ejpam-5503	188	8	.	.	PUNCT
ejpam-5503	189	1	then	then	ADV
ejpam-5503	189	2	taγ	taγ	VERB
ejpam-5503	189	3	,	,	PUNCT
ejpam-5503	189	4	bγ	bγ	PROPN
ejpam-5503	189	5	(	(	PUNCT
ejpam-5503	189	6	x	x	X
ejpam-5503	189	7	)	)	PUNCT
ejpam-5503	189	8	=	=	SYM
ejpam-5503	189	9	(	(	PUNCT
ejpam-5503	189	10	1	1	NUM
ejpam-5503	189	11	−	−	NOUN
ejpam-5503	189	12	λγ(3	λγ(3	X
ejpam-5503	189	13	−	−	PROPN
ejpam-5503	189	14	2γ	2γ	NOUN
ejpam-5503	189	15	)	)	PUNCT
ejpam-5503	189	16	)	)	PUNCT
ejpam-5503	189	17	x	x	PUNCT
ejpam-5503	190	1	+	+	PUNCT
ejpam-5503	191	1	λγ(1	λγ(1	DET
ejpam-5503	191	2	−	−	X
ejpam-5503	191	3	γ)pu	γ)pu	PROPN
ejpam-5503	191	4	x	x	PUNCT
ejpam-5503	192	1	+	+	NUM
ejpam-5503	192	2	k.	k.	PROPN
ejpam-5503	192	3	(	(	PUNCT
ejpam-5503	192	4	26	26	NUM
ejpam-5503	192	5	)	)	PUNCT
ejpam-5503	192	6	(	(	PUNCT
ejpam-5503	192	7	xii	xii	NOUN
ejpam-5503	192	8	)	)	PUNCT
ejpam-5503	192	9	suppose	suppose	VERB
ejpam-5503	192	10	l	l	NOUN
ejpam-5503	192	11	:	:	PUNCT
ejpam-5503	192	12	=	=	PUNCT
ejpam-5503	192	13	λγ	λγ	X
ejpam-5503	192	14	[	[	PUNCT
ejpam-5503	192	15	2(1	2(1	NUM
ejpam-5503	192	16	−	−	NOUN
ejpam-5503	192	17	γ)pu⊥	γ)pu⊥	VERB
ejpam-5503	192	18	a	a	DET
ejpam-5503	192	19	+	+	NOUN
ejpam-5503	192	20	v	v	NOUN
ejpam-5503	192	21	+	+	CCONJ
ejpam-5503	192	22	2(1	2(1	NUM
ejpam-5503	192	23	−	−	NOUN
ejpam-5503	192	24	γ)w	γ)w	NUM
ejpam-5503	192	25	]	]	PUNCT
ejpam-5503	192	26	.	.	PUNCT
ejpam-5503	193	1	then	then	ADV
ejpam-5503	193	2	tbγ	tbγ	PROPN
ejpam-5503	193	3	,	,	PUNCT
ejpam-5503	193	4	aγ	aγ	PRON
ejpam-5503	193	5	(	(	PUNCT
ejpam-5503	193	6	x	x	NOUN
ejpam-5503	193	7	)	)	PUNCT
ejpam-5503	193	8	=	=	SYM
ejpam-5503	193	9	(	(	PUNCT
ejpam-5503	193	10	1	1	NUM
ejpam-5503	193	11	−	−	NOUN
ejpam-5503	193	12	λγ(3	λγ(3	X
ejpam-5503	193	13	−	−	PROPN
ejpam-5503	193	14	2γ	2γ	NOUN
ejpam-5503	193	15	)	)	PUNCT
ejpam-5503	193	16	)	)	PUNCT
ejpam-5503	193	17	x	x	PUNCT
ejpam-5503	194	1	+	+	PUNCT
ejpam-5503	195	1	λγ(1	λγ(1	DET
ejpam-5503	195	2	−	−	X
ejpam-5503	195	3	γ)pu	γ)pu	PROPN
ejpam-5503	195	4	x	x	PUNCT
ejpam-5503	196	1	+	+	PUNCT
ejpam-5503	196	2	l.	l.	PROPN
ejpam-5503	196	3	(	(	PUNCT
ejpam-5503	196	4	27	27	NUM
ejpam-5503	196	5	)	)	PUNCT
ejpam-5503	196	6	proof	proof	NOUN
ejpam-5503	196	7	.	.	PUNCT
ejpam-5503	197	1	(	(	PUNCT
ejpam-5503	197	2	i	i	NOUN
ejpam-5503	197	3	):	):	PUNCT
ejpam-5503	197	4	let	let	VERB
ejpam-5503	197	5	y	y	PROPN
ejpam-5503	197	6	∈	∈	PROPN
ejpam-5503	197	7	h	h	NOUN
ejpam-5503	197	8	and	and	CCONJ
ejpam-5503	197	9	define	define	VERB
ejpam-5503	197	10	x	x	X
ejpam-5503	197	11	=	=	PUNCT
ejpam-5503	197	12	jay	jay	PROPN
ejpam-5503	197	13	.	.	PUNCT
ejpam-5503	198	1	then	then	ADV
ejpam-5503	198	2	,	,	PUNCT
ejpam-5503	198	3	we	we	PRON
ejpam-5503	198	4	have	have	VERB
ejpam-5503	198	5	y	y	PROPN
ejpam-5503	198	6	∈	∈	PROPN
ejpam-5503	198	7	(	(	PUNCT
ejpam-5503	198	8	id+a)x	id+a)x	PROPN
ejpam-5503	198	9	if	if	SCONJ
ejpam-5503	199	1	and	and	CCONJ
ejpam-5503	199	2	only	only	ADV
ejpam-5503	199	3	if	if	SCONJ
ejpam-5503	199	4	y	y	PROPN
ejpam-5503	199	5	=	=	PUNCT
ejpam-5503	199	6	2x	2x	NUM
ejpam-5503	199	7	−	−	PROPN
ejpam-5503	199	8	v	v	NOUN
ejpam-5503	199	9	,	,	PUNCT
ejpam-5503	199	10	which	which	PRON
ejpam-5503	199	11	implies	imply	VERB
ejpam-5503	199	12	x	x	X
ejpam-5503	199	13	=	=	SYM
ejpam-5503	199	14	(	(	PUNCT
ejpam-5503	199	15	(	(	PUNCT
ejpam-5503	199	16	y	y	PROPN
ejpam-5503	199	17	+	+	CCONJ
ejpam-5503	199	18	v)/2	v)/2	PROPN
ejpam-5503	199	19	)	)	PUNCT
ejpam-5503	199	20	.	.	PUNCT
ejpam-5503	200	1	this	this	PRON
ejpam-5503	200	2	leads	lead	VERB
ejpam-5503	200	3	to	to	ADP
ejpam-5503	200	4	ja	ja	PROPN
ejpam-5503	200	5	=	=	PUNCT
ejpam-5503	200	6	(	(	PUNCT
ejpam-5503	200	7	(	(	PUNCT
ejpam-5503	200	8	id+v)/2	id+v)/2	NOUN
ejpam-5503	200	9	)	)	PUNCT
ejpam-5503	200	10	.	.	PUNCT
ejpam-5503	201	1	consequently	consequently	ADV
ejpam-5503	201	2	,	,	PUNCT
ejpam-5503	201	3	we	we	PRON
ejpam-5503	201	4	find	find	VERB
ejpam-5503	201	5	that	that	SCONJ
ejpam-5503	201	6	ra	ra	PROPN
ejpam-5503	201	7	=	=	SYM
ejpam-5503	201	8	2	2	NUM
ejpam-5503	201	9	(	(	PUNCT
ejpam-5503	201	10	(	(	PUNCT
ejpam-5503	201	11	id+v)/2	id+v)/2	NOUN
ejpam-5503	201	12	)	)	PUNCT
ejpam-5503	201	13	−	−	PROPN
ejpam-5503	202	1	i	i	PROPN
ejpam-5503	202	2	d	d	PROPN
ejpam-5503	202	3	⇔	⇔	X
ejpam-5503	202	4	rb	rb	PROPN
ejpam-5503	202	5	=	=	SYM
ejpam-5503	202	6	v	v	NOUN
ejpam-5503	202	7	by	by	ADP
ejpam-5503	202	8	(	(	PUNCT
ejpam-5503	202	9	2	2	NUM
ejpam-5503	202	10	)	)	PUNCT
ejpam-5503	202	11	.	.	PUNCT
ejpam-5503	203	1	(	(	PUNCT
ejpam-5503	203	2	ii	ii	NOUN
ejpam-5503	203	3	):	):	PUNCT
ejpam-5503	203	4	combine	combine	PROPN
ejpam-5503	203	5	(	(	PUNCT
ejpam-5503	203	6	i	i	NOUN
ejpam-5503	203	7	)	)	PUNCT
ejpam-5503	203	8	and	and	CCONJ
ejpam-5503	203	9	(	(	PUNCT
ejpam-5503	203	10	6	6	NUM
ejpam-5503	203	11	)	)	PUNCT
ejpam-5503	203	12	yields	yield	NOUN
ejpam-5503	203	13	:	:	PUNCT
ejpam-5503	203	14	raγ	raγ	NOUN
ejpam-5503	203	15	(	(	PUNCT
ejpam-5503	203	16	x	x	X
ejpam-5503	203	17	)	)	PUNCT
ejpam-5503	203	18	=	=	NOUN
ejpam-5503	203	19	2γ	2γ	NOUN
ejpam-5503	203	20	(	(	PUNCT
ejpam-5503	203	21	(	(	PUNCT
ejpam-5503	203	22	x	x	SYM
ejpam-5503	203	23	+	+	NUM
ejpam-5503	203	24	v)/2	v)/2	NOUN
ejpam-5503	203	25	)	)	PUNCT
ejpam-5503	204	1	+	+	CCONJ
ejpam-5503	205	1	2(1	2(1	NUM
ejpam-5503	205	2	−	−	NOUN
ejpam-5503	205	3	γ)w	γ)w	PUNCT
ejpam-5503	206	1	−	−	NOUN
ejpam-5503	206	2	x	x	SYM
ejpam-5503	206	3	=	=	SYM
ejpam-5503	206	4	γ	γ	X
ejpam-5503	206	5	(	(	PUNCT
ejpam-5503	206	6	x	x	PROPN
ejpam-5503	206	7	+	+	NUM
ejpam-5503	206	8	v	v	NOUN
ejpam-5503	206	9	)	)	PUNCT
ejpam-5503	207	1	+	+	CCONJ
ejpam-5503	207	2	2	2	NUM
ejpam-5503	207	3	(	(	PUNCT
ejpam-5503	207	4	1	1	NUM
ejpam-5503	207	5	−	−	PROPN
ejpam-5503	207	6	γ	γ	NOUN
ejpam-5503	207	7	)	)	PUNCT
ejpam-5503	207	8	w	w	ADP
ejpam-5503	207	9	−	−	NOUN
ejpam-5503	207	10	x	x	PUNCT
ejpam-5503	208	1	s.	s.	PROPN
ejpam-5503	208	2	th	th	PROPN
ejpam-5503	208	3	.	.	PUNCT
ejpam-5503	209	1	alwadani	alwadani	PROPN
ejpam-5503	209	2	/	/	SYM
ejpam-5503	209	3	eur	eur	PROPN
ejpam-5503	209	4	.	.	PUNCT
ejpam-5503	210	1	j.	j.	PROPN
ejpam-5503	210	2	pure	pure	PROPN
ejpam-5503	210	3	appl	appl	PROPN
ejpam-5503	210	4	.	.	PROPN
ejpam-5503	210	5	math	math	PROPN
ejpam-5503	210	6	,	,	PUNCT
ejpam-5503	210	7	18	18	NUM
ejpam-5503	210	8	(	(	PUNCT
ejpam-5503	210	9	1	1	NUM
ejpam-5503	210	10	)	)	PUNCT
ejpam-5503	210	11	(	(	PUNCT
ejpam-5503	210	12	2025	2025	NUM
ejpam-5503	210	13	)	)	PUNCT
ejpam-5503	210	14	,	,	PUNCT
ejpam-5503	210	15	5503	5503	NUM
ejpam-5503	210	16	7	7	NUM
ejpam-5503	210	17	of	of	ADP
ejpam-5503	210	18	16	16	NUM
ejpam-5503	210	19	=	=	NOUN
ejpam-5503	210	20	γv	γv	NOUN
ejpam-5503	210	21	−	−	PROPN
ejpam-5503	211	1	(	(	PUNCT
ejpam-5503	211	2	1	1	NUM
ejpam-5503	211	3	−	−	PROPN
ejpam-5503	211	4	γ	γ	NOUN
ejpam-5503	211	5	)	)	PUNCT
ejpam-5503	211	6	x	x	PUNCT
ejpam-5503	212	1	+	+	CCONJ
ejpam-5503	212	2	2	2	NUM
ejpam-5503	212	3	(	(	PUNCT
ejpam-5503	212	4	1	1	NUM
ejpam-5503	212	5	−	−	PROPN
ejpam-5503	212	6	γ	γ	PROPN
ejpam-5503	212	7	)	)	PUNCT
ejpam-5503	212	8	w.	w.	PROPN
ejpam-5503	212	9	(	(	PUNCT
ejpam-5503	212	10	iii	iii	PROPN
ejpam-5503	212	11	):	):	PUNCT
ejpam-5503	212	12	let	let	VERB
ejpam-5503	212	13	y	y	PROPN
ejpam-5503	212	14	∈	∈	PROPN
ejpam-5503	212	15	h	h	NOUN
ejpam-5503	212	16	and	and	CCONJ
ejpam-5503	212	17	define	define	VERB
ejpam-5503	212	18	x	x	X
ejpam-5503	212	19	=	=	SYM
ejpam-5503	212	20	jby	jby	NOUN
ejpam-5503	212	21	.	.	PUNCT
ejpam-5503	213	1	our	our	PRON
ejpam-5503	213	2	goal	goal	NOUN
ejpam-5503	213	3	is	be	AUX
ejpam-5503	213	4	to	to	PART
ejpam-5503	213	5	determine	determine	VERB
ejpam-5503	213	6	x.	x.	NOUN
ejpam-5503	213	7	we	we	PRON
ejpam-5503	213	8	have	have	VERB
ejpam-5503	213	9	:	:	PUNCT
ejpam-5503	213	10	y	y	PROPN
ejpam-5503	213	11	∈	∈	PROPN
ejpam-5503	213	12	(	(	PUNCT
ejpam-5503	213	13	id+pa+u)x	id+pa+u)x	PROPN
ejpam-5503	213	14	⇔	⇔	PROPN
ejpam-5503	213	15	y	y	PROPN
ejpam-5503	213	16	=	=	PUNCT
ejpam-5503	213	17	x	x	PROPN
ejpam-5503	214	1	+	+	CCONJ
ejpam-5503	214	2	a	a	DET
ejpam-5503	214	3	+	+	NOUN
ejpam-5503	214	4	pu(x	pu(x	NOUN
ejpam-5503	214	5	−	−	PROPN
ejpam-5503	214	6	a	a	PRON
ejpam-5503	214	7	)	)	PUNCT
ejpam-5503	214	8	⇔	⇔	PROPN
ejpam-5503	214	9	y	y	PROPN
ejpam-5503	214	10	=	=	PUNCT
ejpam-5503	214	11	x	x	PUNCT
ejpam-5503	215	1	+	+	PUNCT
ejpam-5503	215	2	(	(	PUNCT
ejpam-5503	215	3	id−pu)a	id−pu)a	NOUN
ejpam-5503	215	4	+	+	NUM
ejpam-5503	216	1	pu	pu	PROPN
ejpam-5503	216	2	x	x	PROPN
ejpam-5503	216	3	⇔	⇔	PROPN
ejpam-5503	216	4	y	y	PROPN
ejpam-5503	216	5	=	=	PUNCT
ejpam-5503	216	6	x	x	PROPN
ejpam-5503	217	1	+	+	CCONJ
ejpam-5503	217	2	pu⊥	pu⊥	PROPN
ejpam-5503	217	3	a	a	DET
ejpam-5503	217	4	+	+	X
ejpam-5503	217	5	pu	pu	PROPN
ejpam-5503	217	6	x.	x.	NOUN
ejpam-5503	217	7	hence	hence	ADV
ejpam-5503	217	8	,	,	PUNCT
ejpam-5503	217	9	y	y	PROPN
ejpam-5503	217	10	=	=	PUNCT
ejpam-5503	217	11	x	x	PROPN
ejpam-5503	218	1	+	+	CCONJ
ejpam-5503	218	2	pu⊥	pu⊥	VERB
ejpam-5503	218	3	a	a	DET
ejpam-5503	218	4	+	+	X
ejpam-5503	218	5	x∗	x∗	NOUN
ejpam-5503	218	6	,	,	PUNCT
ejpam-5503	218	7	where	where	SCONJ
ejpam-5503	218	8	x∗	x∗	PROPN
ejpam-5503	218	9	=	=	SYM
ejpam-5503	218	10	pu	pu	PROPN
ejpam-5503	218	11	x.	x.	PROPN
ejpam-5503	218	12	(	(	PUNCT
ejpam-5503	218	13	28	28	NUM
ejpam-5503	218	14	)	)	PUNCT
ejpam-5503	218	15	applying	apply	VERB
ejpam-5503	218	16	pu	pu	PROPN
ejpam-5503	218	17	to	to	ADP
ejpam-5503	218	18	(	(	PUNCT
ejpam-5503	218	19	28	28	NUM
ejpam-5503	218	20	)	)	PUNCT
ejpam-5503	218	21	results	result	NOUN
ejpam-5503	218	22	in	in	ADP
ejpam-5503	218	23	:	:	PUNCT
ejpam-5503	218	24	pu	pu	PROPN
ejpam-5503	218	25	y	y	PROPN
ejpam-5503	218	26	=	=	PUNCT
ejpam-5503	218	27	pu	pu	PROPN
ejpam-5503	218	28	x	x	PROPN
ejpam-5503	219	1	+	+	CCONJ
ejpam-5503	219	2	pu	pu	PROPN
ejpam-5503	219	3	pu⊥	pu⊥	PROPN
ejpam-5503	220	1	a	a	DET
ejpam-5503	220	2	+	+	NUM
ejpam-5503	220	3	x∗	x∗	PROPN
ejpam-5503	220	4	⇔	⇔	PROPN
ejpam-5503	220	5	pu	pu	PROPN
ejpam-5503	220	6	y	y	PROPN
ejpam-5503	220	7	=	=	SYM
ejpam-5503	220	8	2x∗	2x∗	NUM
ejpam-5503	220	9	⇔	⇔	X
ejpam-5503	220	10	x∗	x∗	PROPN
ejpam-5503	220	11	=	=	SYM
ejpam-5503	220	12	1	1	NUM
ejpam-5503	220	13	2	2	NUM
ejpam-5503	220	14	pu	pu	PROPN
ejpam-5503	220	15	y.	y.	PROPN
ejpam-5503	220	16	(	(	PUNCT
ejpam-5503	220	17	29	29	NUM
ejpam-5503	220	18	)	)	PUNCT
ejpam-5503	220	19	inserting	insert	VERB
ejpam-5503	220	20	(	(	PUNCT
ejpam-5503	220	21	29	29	NUM
ejpam-5503	220	22	)	)	PUNCT
ejpam-5503	220	23	back	back	ADV
ejpam-5503	220	24	into	into	ADP
ejpam-5503	220	25	(	(	PUNCT
ejpam-5503	220	26	28	28	NUM
ejpam-5503	220	27	)	)	PUNCT
ejpam-5503	220	28	results	result	NOUN
ejpam-5503	220	29	in	in	ADP
ejpam-5503	220	30	:	:	PUNCT
ejpam-5503	220	31	y	y	PROPN
ejpam-5503	220	32	=	=	PUNCT
ejpam-5503	220	33	x	x	PROPN
ejpam-5503	221	1	+	+	CCONJ
ejpam-5503	221	2	pu⊥	pu⊥	VERB
ejpam-5503	221	3	a	a	DET
ejpam-5503	221	4	+	+	NUM
ejpam-5503	221	5	1	1	NUM
ejpam-5503	221	6	2	2	NUM
ejpam-5503	221	7	pu	pu	PROPN
ejpam-5503	221	8	y	y	PROPN
ejpam-5503	221	9	⇔	⇔	PROPN
ejpam-5503	221	10	x	x	PUNCT
ejpam-5503	222	1	=	=	PRON
ejpam-5503	222	2	(	(	PUNCT
ejpam-5503	222	3	id−1	id−1	PROPN
ejpam-5503	222	4	2	2	NUM
ejpam-5503	222	5	pu	pu	PROPN
ejpam-5503	222	6	)	)	PUNCT
ejpam-5503	223	1	y	y	PROPN
ejpam-5503	223	2	−	−	PROPN
ejpam-5503	224	1	pu⊥	pu⊥	PROPN
ejpam-5503	224	2	a.	a.	NOUN
ejpam-5503	224	3	therefore	therefore	ADV
ejpam-5503	224	4	,	,	PUNCT
ejpam-5503	224	5	jb	jb	PROPN
ejpam-5503	224	6	=	=	PUNCT
ejpam-5503	224	7	(	(	PUNCT
ejpam-5503	224	8	id−1	id−1	PROPN
ejpam-5503	224	9	2	2	NUM
ejpam-5503	224	10	pu)−	pu)−	NOUN
ejpam-5503	224	11	pu⊥	pu⊥	VERB
ejpam-5503	224	12	a	a	PRON
ejpam-5503	224	13	,	,	PUNCT
ejpam-5503	224	14	and	and	CCONJ
ejpam-5503	224	15	rb	rb	X
ejpam-5503	224	16	=	=	SYM
ejpam-5503	224	17	2	2	NUM
ejpam-5503	224	18	(	(	PUNCT
ejpam-5503	224	19	id−1	id−1	PROPN
ejpam-5503	224	20	2	2	NUM
ejpam-5503	224	21	pu	pu	NOUN
ejpam-5503	224	22	)	)	PUNCT
ejpam-5503	225	1	−	−	PROPN
ejpam-5503	225	2	2	2	NUM
ejpam-5503	226	1	pu⊥	pu⊥	NOUN
ejpam-5503	226	2	a	a	PRON
ejpam-5503	226	3	−	−	PUNCT
ejpam-5503	227	1	i	i	NOUN
ejpam-5503	227	2	d	d	PROPN
ejpam-5503	227	3	=	=	SYM
ejpam-5503	227	4	(	(	PUNCT
ejpam-5503	227	5	id−pu)−	id−pu)−	PROPN
ejpam-5503	227	6	2	2	NUM
ejpam-5503	227	7	pu⊥	pu⊥	NOUN
ejpam-5503	227	8	a	a	PRON
ejpam-5503	227	9	,	,	PUNCT
ejpam-5503	227	10	by	by	ADP
ejpam-5503	227	11	(	(	PUNCT
ejpam-5503	227	12	2	2	NUM
ejpam-5503	227	13	)	)	PUNCT
ejpam-5503	227	14	.	.	PUNCT
ejpam-5503	228	1	(	(	PUNCT
ejpam-5503	228	2	iv	iv	X
ejpam-5503	228	3	):	):	PUNCT
ejpam-5503	228	4	from	from	ADP
ejpam-5503	228	5	(	(	PUNCT
ejpam-5503	228	6	6	6	NUM
ejpam-5503	228	7	)	)	PUNCT
ejpam-5503	228	8	and	and	CCONJ
ejpam-5503	228	9	(	(	PUNCT
ejpam-5503	228	10	iii	iii	NOUN
ejpam-5503	228	11	)	)	PUNCT
ejpam-5503	228	12	,	,	PUNCT
ejpam-5503	228	13	it	it	PRON
ejpam-5503	228	14	can	can	AUX
ejpam-5503	228	15	be	be	AUX
ejpam-5503	228	16	concluded	conclude	VERB
ejpam-5503	228	17	that	that	SCONJ
ejpam-5503	228	18	:	:	PUNCT
ejpam-5503	228	19	jbγ	jbγ	VERB
ejpam-5503	228	20	=	=	PUNCT
ejpam-5503	228	21	γjb	γjb	VERB
ejpam-5503	228	22	+	+	CCONJ
ejpam-5503	228	23	2(1	2(1	NUM
ejpam-5503	228	24	−	−	NOUN
ejpam-5503	228	25	γ)w	γ)w	PUNCT
ejpam-5503	229	1	=	=	PUNCT
ejpam-5503	229	2	γ	γ	X
ejpam-5503	229	3	(	(	PUNCT
ejpam-5503	229	4	(	(	PUNCT
ejpam-5503	229	5	id−1	id−1	PROPN
ejpam-5503	229	6	2	2	NUM
ejpam-5503	229	7	pu	pu	NOUN
ejpam-5503	229	8	)	)	PUNCT
ejpam-5503	229	9	−	−	PROPN
ejpam-5503	230	1	pu⊥	pu⊥	NOUN
ejpam-5503	230	2	a	a	PRON
ejpam-5503	230	3	)	)	PUNCT
ejpam-5503	231	1	+	+	CCONJ
ejpam-5503	231	2	(	(	PUNCT
ejpam-5503	231	3	1	1	NUM
ejpam-5503	231	4	−	−	NOUN
ejpam-5503	231	5	γ)w	γ)w	NOUN
ejpam-5503	231	6	.	.	PUNCT
ejpam-5503	232	1	according	accord	VERB
ejpam-5503	232	2	to	to	ADP
ejpam-5503	232	3	(	(	PUNCT
ejpam-5503	232	4	7	7	NUM
ejpam-5503	232	5	)	)	PUNCT
ejpam-5503	232	6	,	,	PUNCT
ejpam-5503	232	7	we	we	PRON
ejpam-5503	232	8	obtain	obtain	VERB
ejpam-5503	232	9	:	:	PUNCT
ejpam-5503	232	10	rbγ	rbγ	NOUN
ejpam-5503	232	11	=	=	SYM
ejpam-5503	232	12	2γ	2γ	NOUN
ejpam-5503	232	13	(	(	PUNCT
ejpam-5503	232	14	(	(	PUNCT
ejpam-5503	232	15	id−1	id−1	PROPN
ejpam-5503	232	16	2	2	NUM
ejpam-5503	232	17	pu	pu	NOUN
ejpam-5503	232	18	)	)	PUNCT
ejpam-5503	232	19	−	−	PROPN
ejpam-5503	233	1	pu⊥	pu⊥	NOUN
ejpam-5503	233	2	a	a	PRON
ejpam-5503	233	3	)	)	PUNCT
ejpam-5503	234	1	+	+	NUM
ejpam-5503	235	1	2(1	2(1	NUM
ejpam-5503	235	2	−	−	NOUN
ejpam-5503	235	3	γ)w	γ)w	PUNCT
ejpam-5503	235	4	−	−	PROPN
ejpam-5503	236	1	i	i	NOUN
ejpam-5503	236	2	d	d	PROPN
ejpam-5503	236	3	=	=	SYM
ejpam-5503	236	4	(	(	PUNCT
ejpam-5503	236	5	2γ	2γ	NUM
ejpam-5503	236	6	−	−	PROPN
ejpam-5503	236	7	1	1	X
ejpam-5503	236	8	)	)	PUNCT
ejpam-5503	236	9	id−γ	id−γ	ADJ
ejpam-5503	236	10	pu	pu	PROPN
ejpam-5503	236	11	−2γ	−2γ	PUNCT
ejpam-5503	236	12	pu⊥	pu⊥	PROPN
ejpam-5503	236	13	a	a	DET
ejpam-5503	236	14	+	+	NOUN
ejpam-5503	236	15	2(1	2(1	NUM
ejpam-5503	236	16	−	−	NOUN
ejpam-5503	236	17	γ)w	γ)w	NOUN
ejpam-5503	236	18	.	.	PUNCT
ejpam-5503	237	1	(	(	PUNCT
ejpam-5503	237	2	v	v	NOUN
ejpam-5503	237	3	):	):	PUNCT
ejpam-5503	237	4	utilizing	utilize	VERB
ejpam-5503	237	5	(	(	PUNCT
ejpam-5503	237	6	iii	iii	NOUN
ejpam-5503	237	7	)	)	PUNCT
ejpam-5503	237	8	,	,	PUNCT
ejpam-5503	237	9	(	(	PUNCT
ejpam-5503	237	10	i	i	NOUN
ejpam-5503	237	11	)	)	PUNCT
ejpam-5503	237	12	,	,	PUNCT
ejpam-5503	237	13	and	and	CCONJ
ejpam-5503	237	14	(	(	PUNCT
ejpam-5503	237	15	9	9	X
ejpam-5503	237	16	)	)	PUNCT
ejpam-5503	237	17	yields	yield	NOUN
ejpam-5503	237	18	:	:	PUNCT
ejpam-5503	237	19	ta	ta	ADP
ejpam-5503	237	20	,	,	PUNCT
ejpam-5503	237	21	b(x	b(x	NOUN
ejpam-5503	237	22	)	)	PUNCT
ejpam-5503	238	1	=	=	SYM
ejpam-5503	238	2	x	x	PUNCT
ejpam-5503	239	1	−	−	PROPN
ejpam-5503	239	2	(	(	PUNCT
ejpam-5503	239	3	x	x	SYM
ejpam-5503	239	4	+	+	NUM
ejpam-5503	239	5	v	v	NUM
ejpam-5503	239	6	2	2	NUM
ejpam-5503	239	7	)	)	PUNCT
ejpam-5503	240	1	+	+	CCONJ
ejpam-5503	240	2	(	(	PUNCT
ejpam-5503	240	3	id−1	id−1	PROPN
ejpam-5503	240	4	2	2	NUM
ejpam-5503	240	5	pu	pu	NOUN
ejpam-5503	240	6	−pu⊥	−pu⊥	PROPN
ejpam-5503	240	7	a	a	PRON
ejpam-5503	240	8	)	)	PUNCT
ejpam-5503	240	9	rax	rax	NOUN
ejpam-5503	240	10	=	=	PUNCT
ejpam-5503	240	11	x	x	SYM
ejpam-5503	240	12	2	2	NUM
ejpam-5503	240	13	−	−	NOUN
ejpam-5503	240	14	v	v	NOUN
ejpam-5503	240	15	2	2	NUM
ejpam-5503	240	16	+	+	CCONJ
ejpam-5503	240	17	rax	rax	NOUN
ejpam-5503	240	18	−	−	NOUN
ejpam-5503	240	19	1	1	NUM
ejpam-5503	240	20	2	2	NUM
ejpam-5503	240	21	pu	pu	PROPN
ejpam-5503	240	22	rax	rax	NOUN
ejpam-5503	240	23	−	−	PROPN
ejpam-5503	241	1	pu⊥	pu⊥	PROPN
ejpam-5503	241	2	a	a	DET
ejpam-5503	241	3	s.	s.	PROPN
ejpam-5503	241	4	th	th	PROPN
ejpam-5503	241	5	.	.	PUNCT
ejpam-5503	242	1	alwadani	alwadani	PROPN
ejpam-5503	242	2	/	/	SYM
ejpam-5503	242	3	eur	eur	PROPN
ejpam-5503	242	4	.	.	PUNCT
ejpam-5503	243	1	j.	j.	PROPN
ejpam-5503	243	2	pure	pure	PROPN
ejpam-5503	243	3	appl	appl	PROPN
ejpam-5503	243	4	.	.	PROPN
ejpam-5503	243	5	math	math	PROPN
ejpam-5503	243	6	,	,	PUNCT
ejpam-5503	243	7	18	18	NUM
ejpam-5503	243	8	(	(	PUNCT
ejpam-5503	243	9	1	1	NUM
ejpam-5503	243	10	)	)	PUNCT
ejpam-5503	243	11	(	(	PUNCT
ejpam-5503	243	12	2025	2025	NUM
ejpam-5503	243	13	)	)	PUNCT
ejpam-5503	243	14	,	,	PUNCT
ejpam-5503	243	15	5503	5503	NUM
ejpam-5503	243	16	8	8	NUM
ejpam-5503	243	17	of	of	ADP
ejpam-5503	243	18	16	16	NUM
ejpam-5503	243	19	=	=	SYM
ejpam-5503	243	20	(	(	PUNCT
ejpam-5503	243	21	x	x	X
ejpam-5503	243	22	+	+	NUM
ejpam-5503	243	23	v	v	NUM
ejpam-5503	243	24	2	2	NUM
ejpam-5503	243	25	)	)	PUNCT
ejpam-5503	243	26	−	−	NOUN
ejpam-5503	244	1	pu⊥	pu⊥	PROPN
ejpam-5503	244	2	a.	a.	NOUN
ejpam-5503	244	3	(	(	PUNCT
ejpam-5503	244	4	vi	vi	PROPN
ejpam-5503	244	5	):	):	PUNCT
ejpam-5503	244	6	based	base	VERB
ejpam-5503	244	7	on	on	ADP
ejpam-5503	244	8	(	(	PUNCT
ejpam-5503	244	9	iii	iii	NOUN
ejpam-5503	244	10	)	)	PUNCT
ejpam-5503	244	11	,	,	PUNCT
ejpam-5503	244	12	(	(	PUNCT
ejpam-5503	244	13	ii	ii	NOUN
ejpam-5503	244	14	)	)	PUNCT
ejpam-5503	244	15	,	,	PUNCT
ejpam-5503	244	16	and	and	CCONJ
ejpam-5503	244	17	(	(	PUNCT
ejpam-5503	244	18	9	9	NUM
ejpam-5503	244	19	)	)	PUNCT
ejpam-5503	244	20	,	,	PUNCT
ejpam-5503	244	21	we	we	PRON
ejpam-5503	244	22	find	find	VERB
ejpam-5503	244	23	:	:	PUNCT
ejpam-5503	244	24	tb	tb	NOUN
ejpam-5503	244	25	,	,	PUNCT
ejpam-5503	244	26	a(x	a(x	PROPN
ejpam-5503	244	27	)	)	PUNCT
ejpam-5503	244	28	=	=	SYM
ejpam-5503	244	29	1	1	NUM
ejpam-5503	244	30	2	2	NUM
ejpam-5503	244	31	x	x	SYM
ejpam-5503	244	32	+	+	NOUN
ejpam-5503	244	33	1	1	NUM
ejpam-5503	244	34	2	2	NUM
ejpam-5503	244	35	rarbx	rarbx	NOUN
ejpam-5503	244	36	=	=	SYM
ejpam-5503	244	37	1	1	NUM
ejpam-5503	244	38	2	2	NUM
ejpam-5503	244	39	x	x	SYM
ejpam-5503	244	40	+	+	NOUN
ejpam-5503	244	41	1	1	NUM
ejpam-5503	244	42	2	2	NUM
ejpam-5503	244	43	(	(	PUNCT
ejpam-5503	244	44	v	v	NOUN
ejpam-5503	244	45	)	)	PUNCT
ejpam-5503	244	46	(	(	PUNCT
ejpam-5503	244	47	(	(	PUNCT
ejpam-5503	244	48	x	x	SYM
ejpam-5503	244	49	−	−	PROPN
ejpam-5503	244	50	pu	pu	PROPN
ejpam-5503	244	51	x	x	PROPN
ejpam-5503	244	52	)	)	PUNCT
ejpam-5503	245	1	−	−	PROPN
ejpam-5503	245	2	2	2	NUM
ejpam-5503	246	1	pu⊥	pu⊥	NOUN
ejpam-5503	246	2	a	a	PRON
ejpam-5503	246	3	)	)	PUNCT
ejpam-5503	247	1	=	=	SYM
ejpam-5503	247	2	1	1	NUM
ejpam-5503	247	3	2	2	NUM
ejpam-5503	247	4	(	(	PUNCT
ejpam-5503	247	5	x	x	SYM
ejpam-5503	247	6	+	+	NUM
ejpam-5503	247	7	v	v	NOUN
ejpam-5503	247	8	)	)	PUNCT
ejpam-5503	247	9	.	.	PUNCT
ejpam-5503	248	1	(	(	PUNCT
ejpam-5503	248	2	vii	vii	PROPN
ejpam-5503	248	3	):	):	PUNCT
ejpam-5503	248	4	by	by	ADP
ejpam-5503	248	5	employing	employ	VERB
ejpam-5503	248	6	(	(	PUNCT
ejpam-5503	248	7	iii	iii	NOUN
ejpam-5503	248	8	)	)	PUNCT
ejpam-5503	248	9	and	and	CCONJ
ejpam-5503	248	10	(	(	PUNCT
ejpam-5503	248	11	i	i	NOUN
ejpam-5503	248	12	)	)	PUNCT
ejpam-5503	248	13	,	,	PUNCT
ejpam-5503	248	14	we	we	PRON
ejpam-5503	248	15	derive	derive	VERB
ejpam-5503	248	16	:	:	PUNCT
ejpam-5503	248	17	jbrax	jbrax	NOUN
ejpam-5503	248	18	=	=	SYM
ejpam-5503	248	19	(	(	PUNCT
ejpam-5503	248	20	id−1	id−1	PROPN
ejpam-5503	248	21	2	2	NUM
ejpam-5503	248	22	pu	pu	NOUN
ejpam-5503	248	23	−pu⊥	−pu⊥	PROPN
ejpam-5503	248	24	a	a	DET
ejpam-5503	248	25	)	)	PUNCT
ejpam-5503	248	26	rax	rax	NOUN
ejpam-5503	248	27	=	=	SYM
ejpam-5503	248	28	rax	rax	NOUN
ejpam-5503	248	29	−	−	NOUN
ejpam-5503	248	30	1	1	NUM
ejpam-5503	248	31	2	2	NUM
ejpam-5503	248	32	pu	pu	PROPN
ejpam-5503	248	33	rax	rax	NOUN
ejpam-5503	249	1	−	−	PROPN
ejpam-5503	249	2	pu⊥	pu⊥	PROPN
ejpam-5503	249	3	a	a	DET
ejpam-5503	249	4	=	=	NOUN
ejpam-5503	249	5	v	v	ADP
ejpam-5503	249	6	−	−	PROPN
ejpam-5503	249	7	pu⊥	pu⊥	PROPN
ejpam-5503	249	8	a.	a.	NOUN
ejpam-5503	249	9	(	(	PUNCT
ejpam-5503	249	10	viii	viii	ADJ
ejpam-5503	249	11	):	):	PUNCT
ejpam-5503	249	12	applying	apply	VERB
ejpam-5503	249	13	(	(	PUNCT
ejpam-5503	249	14	i	i	NOUN
ejpam-5503	249	15	)	)	PUNCT
ejpam-5503	249	16	and	and	CCONJ
ejpam-5503	249	17	(	(	PUNCT
ejpam-5503	249	18	iii	iii	NOUN
ejpam-5503	249	19	)	)	PUNCT
ejpam-5503	249	20	results	result	NOUN
ejpam-5503	249	21	in	in	ADP
ejpam-5503	249	22	:	:	PUNCT
ejpam-5503	249	23	jarbx	jarbx	NOUN
ejpam-5503	249	24	=	=	SYM
ejpam-5503	249	25	(	(	PUNCT
ejpam-5503	249	26	id+v	id+v	NOUN
ejpam-5503	249	27	2	2	X
ejpam-5503	249	28	)	)	PUNCT
ejpam-5503	249	29	rbx	rbx	NOUN
ejpam-5503	249	30	=	=	SYM
ejpam-5503	249	31	1	1	NUM
ejpam-5503	249	32	2	2	NUM
ejpam-5503	249	33	rbx	rbx	NOUN
ejpam-5503	249	34	+	+	CCONJ
ejpam-5503	249	35	1	1	NUM
ejpam-5503	249	36	2	2	NUM
ejpam-5503	249	37	v	v	NOUN
ejpam-5503	249	38	=	=	SYM
ejpam-5503	249	39	1	1	NUM
ejpam-5503	249	40	2	2	NUM
ejpam-5503	249	41	(	(	PUNCT
ejpam-5503	249	42	x	x	SYM
ejpam-5503	249	43	−	−	PROPN
ejpam-5503	249	44	pu	pu	NOUN
ejpam-5503	249	45	x	x	PUNCT
ejpam-5503	250	1	−	−	PROPN
ejpam-5503	250	2	2	2	NUM
ejpam-5503	250	3	pu⊥	pu⊥	NOUN
ejpam-5503	250	4	a	a	PRON
ejpam-5503	250	5	)	)	PUNCT
ejpam-5503	251	1	+	+	CCONJ
ejpam-5503	251	2	1	1	NUM
ejpam-5503	251	3	2	2	NUM
ejpam-5503	251	4	v	v	NOUN
ejpam-5503	251	5	=	=	PUNCT
ejpam-5503	251	6	(	(	PUNCT
ejpam-5503	251	7	x	x	X
ejpam-5503	251	8	+	+	NUM
ejpam-5503	251	9	v	v	NUM
ejpam-5503	251	10	2	2	NUM
ejpam-5503	251	11	)	)	PUNCT
ejpam-5503	251	12	−	−	NOUN
ejpam-5503	251	13	1	1	NUM
ejpam-5503	251	14	2	2	NUM
ejpam-5503	251	15	pu	pu	NOUN
ejpam-5503	251	16	x	x	PUNCT
ejpam-5503	251	17	−	−	PROPN
ejpam-5503	252	1	pu⊥	pu⊥	NOUN
ejpam-5503	252	2	a.	a.	NOUN
ejpam-5503	252	3	(	(	PUNCT
ejpam-5503	252	4	ix	ix	ADV
ejpam-5503	252	5	):	):	PUNCT
ejpam-5503	252	6	through	through	ADP
ejpam-5503	252	7	the	the	DET
ejpam-5503	252	8	application	application	NOUN
ejpam-5503	252	9	of	of	ADP
ejpam-5503	252	10	(	(	PUNCT
ejpam-5503	252	11	ii	ii	NOUN
ejpam-5503	252	12	)	)	PUNCT
ejpam-5503	252	13	and	and	CCONJ
ejpam-5503	252	14	(	(	PUNCT
ejpam-5503	252	15	iii	iii	NOUN
ejpam-5503	252	16	)	)	PUNCT
ejpam-5503	252	17	,	,	PUNCT
ejpam-5503	252	18	we	we	PRON
ejpam-5503	252	19	obtain	obtain	VERB
ejpam-5503	252	20	:	:	PUNCT
ejpam-5503	252	21	jbraγ	jbraγ	NOUN
ejpam-5503	252	22	x	x	PUNCT
ejpam-5503	253	1	=	=	PRON
ejpam-5503	253	2	(	(	PUNCT
ejpam-5503	253	3	id−1	id−1	PROPN
ejpam-5503	253	4	2	2	NUM
ejpam-5503	253	5	pu	pu	NOUN
ejpam-5503	253	6	−pu⊥	−pu⊥	PROPN
ejpam-5503	253	7	a	a	DET
ejpam-5503	253	8	)	)	PUNCT
ejpam-5503	253	9	raγ	raγ	NOUN
ejpam-5503	253	10	x	x	X
ejpam-5503	254	1	=	=	PUNCT
ejpam-5503	254	2	raγ	raγ	NOUN
ejpam-5503	254	3	x	x	NOUN
ejpam-5503	255	1	−	−	NOUN
ejpam-5503	255	2	1	1	NUM
ejpam-5503	255	3	2	2	NUM
ejpam-5503	255	4	pu	pu	NOUN
ejpam-5503	255	5	raγ	raγ	NOUN
ejpam-5503	255	6	x	x	X
ejpam-5503	256	1	−	−	PROPN
ejpam-5503	257	1	pu⊥	pu⊥	NOUN
ejpam-5503	257	2	a	a	DET
ejpam-5503	257	3	=	=	NOUN
ejpam-5503	257	4	γv	γv	NOUN
ejpam-5503	257	5	−	−	PROPN
ejpam-5503	257	6	(	(	PUNCT
ejpam-5503	257	7	1	1	NUM
ejpam-5503	257	8	−	−	NOUN
ejpam-5503	257	9	γ)x	γ)x	PUNCT
ejpam-5503	258	1	+	+	CCONJ
ejpam-5503	258	2	2(1	2(1	NUM
ejpam-5503	258	3	−	−	NOUN
ejpam-5503	258	4	γ)w	γ)w	PUNCT
ejpam-5503	259	1	−	−	PROPN
ejpam-5503	259	2	1	1	NUM
ejpam-5503	259	3	2	2	NUM
ejpam-5503	259	4	pu	pu	NOUN
ejpam-5503	259	5	(	(	PUNCT
ejpam-5503	259	6	2(1	2(1	NUM
ejpam-5503	259	7	−	−	NOUN
ejpam-5503	259	8	γ)w	γ)w	PUNCT
ejpam-5503	259	9	−	−	PROPN
ejpam-5503	259	10	(	(	PUNCT
ejpam-5503	259	11	1	1	NUM
ejpam-5503	259	12	−	−	NOUN
ejpam-5503	259	13	γ)x	γ)x	PUNCT
ejpam-5503	259	14	)	)	PUNCT
ejpam-5503	260	1	−	−	PROPN
ejpam-5503	261	1	pu⊥	pu⊥	VERB
ejpam-5503	261	2	a	a	DET
ejpam-5503	261	3	=	=	NOUN
ejpam-5503	261	4	γv	γv	X
ejpam-5503	262	1	+	+	CCONJ
ejpam-5503	262	2	(	(	PUNCT
ejpam-5503	262	3	1	1	NUM
ejpam-5503	262	4	−	−	PROPN
ejpam-5503	262	5	γ	γ	X
ejpam-5503	262	6	)	)	PUNCT
ejpam-5503	262	7	(	(	PUNCT
ejpam-5503	262	8	(	(	PUNCT
ejpam-5503	262	9	1	1	NUM
ejpam-5503	262	10	2	2	NUM
ejpam-5503	262	11	pu	pu	NOUN
ejpam-5503	262	12	−	−	PROPN
ejpam-5503	262	13	i	i	PROPN
ejpam-5503	262	14	d	d	PROPN
ejpam-5503	262	15	)	)	PUNCT
ejpam-5503	262	16	x	x	X
ejpam-5503	262	17	−	−	PROPN
ejpam-5503	262	18	(	(	PUNCT
ejpam-5503	262	19	pu	pu	PROPN
ejpam-5503	262	20	−2	−2	PROPN
ejpam-5503	263	1	i	i	PROPN
ejpam-5503	263	2	d	d	PROPN
ejpam-5503	263	3	)	)	PUNCT
ejpam-5503	264	1	w	w	X
ejpam-5503	264	2	)	)	PUNCT
ejpam-5503	264	3	−	−	PROPN
ejpam-5503	265	1	pu⊥	pu⊥	NOUN
ejpam-5503	265	2	a.	a.	NOUN
ejpam-5503	265	3	(	(	PUNCT
ejpam-5503	265	4	x	x	NOUN
ejpam-5503	265	5	):	):	PUNCT
ejpam-5503	265	6	based	base	VERB
ejpam-5503	265	7	on	on	ADP
ejpam-5503	265	8	(	(	PUNCT
ejpam-5503	265	9	i	i	NOUN
ejpam-5503	265	10	)	)	PUNCT
ejpam-5503	265	11	and	and	CCONJ
ejpam-5503	265	12	(	(	PUNCT
ejpam-5503	265	13	iv	iv	X
ejpam-5503	265	14	)	)	PUNCT
ejpam-5503	265	15	,	,	PUNCT
ejpam-5503	265	16	we	we	PRON
ejpam-5503	265	17	derive	derive	VERB
ejpam-5503	265	18	:	:	PUNCT
ejpam-5503	265	19	jarbγ	jarbγ	NOUN
ejpam-5503	265	20	x	x	X
ejpam-5503	265	21	=	=	SYM
ejpam-5503	265	22	(	(	PUNCT
ejpam-5503	265	23	id+v	id+v	NOUN
ejpam-5503	265	24	2	2	NUM
ejpam-5503	265	25	)	)	PUNCT
ejpam-5503	265	26	(	(	PUNCT
ejpam-5503	265	27	(	(	PUNCT
ejpam-5503	265	28	2γ	2γ	NUM
ejpam-5503	265	29	−	−	PROPN
ejpam-5503	265	30	1)x	1)x	NUM
ejpam-5503	265	31	−	−	NOUN
ejpam-5503	265	32	γ	γ	PROPN
ejpam-5503	265	33	pu	pu	PROPN
ejpam-5503	265	34	x	x	PUNCT
ejpam-5503	265	35	−	−	NOUN
ejpam-5503	265	36	2γ	2γ	NUM
ejpam-5503	265	37	pu⊥	pu⊥	PROPN
ejpam-5503	265	38	a	a	DET
ejpam-5503	265	39	+	+	NOUN
ejpam-5503	265	40	2(1	2(1	NUM
ejpam-5503	265	41	−	−	NOUN
ejpam-5503	265	42	γ)w	γ)w	PUNCT
ejpam-5503	265	43	)	)	PUNCT
ejpam-5503	266	1	=	=	SYM
ejpam-5503	266	2	1	1	NUM
ejpam-5503	266	3	2	2	NUM
ejpam-5503	266	4	(	(	PUNCT
ejpam-5503	266	5	(	(	PUNCT
ejpam-5503	266	6	2γ	2γ	NUM
ejpam-5503	266	7	−	−	PROPN
ejpam-5503	266	8	1)x	1)x	NUM
ejpam-5503	266	9	−	−	NOUN
ejpam-5503	266	10	γ	γ	PROPN
ejpam-5503	266	11	pu	pu	PROPN
ejpam-5503	266	12	x	x	PUNCT
ejpam-5503	266	13	−	−	NOUN
ejpam-5503	266	14	2γ	2γ	NUM
ejpam-5503	266	15	pu⊥	pu⊥	PROPN
ejpam-5503	266	16	a	a	DET
ejpam-5503	266	17	+	+	NOUN
ejpam-5503	266	18	2(1	2(1	NUM
ejpam-5503	266	19	−	−	NOUN
ejpam-5503	266	20	γ)w	γ)w	PUNCT
ejpam-5503	267	1	+	+	CCONJ
ejpam-5503	267	2	v	v	NOUN
ejpam-5503	267	3	)	)	PUNCT
ejpam-5503	267	4	.	.	PUNCT
ejpam-5503	268	1	s.	s.	PROPN
ejpam-5503	268	2	th	th	PROPN
ejpam-5503	268	3	.	.	PUNCT
ejpam-5503	269	1	alwadani	alwadani	PROPN
ejpam-5503	269	2	/	/	SYM
ejpam-5503	269	3	eur	eur	PROPN
ejpam-5503	269	4	.	.	PUNCT
ejpam-5503	270	1	j.	j.	PROPN
ejpam-5503	270	2	pure	pure	PROPN
ejpam-5503	270	3	appl	appl	PROPN
ejpam-5503	270	4	.	.	PROPN
ejpam-5503	270	5	math	math	PROPN
ejpam-5503	270	6	,	,	PUNCT
ejpam-5503	270	7	18	18	NUM
ejpam-5503	270	8	(	(	PUNCT
ejpam-5503	270	9	1	1	NUM
ejpam-5503	270	10	)	)	PUNCT
ejpam-5503	270	11	(	(	PUNCT
ejpam-5503	270	12	2025	2025	NUM
ejpam-5503	270	13	)	)	PUNCT
ejpam-5503	270	14	,	,	PUNCT
ejpam-5503	270	15	5503	5503	NUM
ejpam-5503	270	16	9	9	NUM
ejpam-5503	270	17	of	of	ADP
ejpam-5503	270	18	16	16	NUM
ejpam-5503	270	19	(	(	PUNCT
ejpam-5503	270	20	xi	xi	X
ejpam-5503	270	21	):	):	PUNCT
ejpam-5503	270	22	merging	merge	VERB
ejpam-5503	270	23	(	(	PUNCT
ejpam-5503	270	24	vii	vii	PROPN
ejpam-5503	270	25	)	)	PUNCT
ejpam-5503	270	26	,	,	PUNCT
ejpam-5503	270	27	(	(	PUNCT
ejpam-5503	270	28	ix	ix	PROPN
ejpam-5503	270	29	)	)	PUNCT
ejpam-5503	270	30	,	,	PUNCT
ejpam-5503	270	31	(	(	PUNCT
ejpam-5503	270	32	v	v	NOUN
ejpam-5503	270	33	)	)	PUNCT
ejpam-5503	270	34	,	,	PUNCT
ejpam-5503	270	35	and	and	CCONJ
ejpam-5503	270	36	(	(	PUNCT
ejpam-5503	270	37	20	20	NUM
ejpam-5503	270	38	)	)	PUNCT
ejpam-5503	270	39	results	result	NOUN
ejpam-5503	270	40	in	in	ADP
ejpam-5503	270	41	:	:	PUNCT
ejpam-5503	270	42	taγ	taγ	NOUN
ejpam-5503	270	43	,	,	PUNCT
ejpam-5503	270	44	bγ	bγ	NOUN
ejpam-5503	270	45	x	x	NOUN
ejpam-5503	270	46	=	=	SYM
ejpam-5503	270	47	ta	ta	PROPN
ejpam-5503	270	48	,	,	PUNCT
ejpam-5503	270	49	b	b	PROPN
ejpam-5503	270	50	+	+	CCONJ
ejpam-5503	270	51	(	(	PUNCT
ejpam-5503	270	52	1	1	NUM
ejpam-5503	270	53	−	−	PRON
ejpam-5503	270	54	2λγ)ja	2λγ)ja	NUM
ejpam-5503	270	55	−	−	NOUN
ejpam-5503	270	56	jbra	jbra	NOUN
ejpam-5503	270	57	+	+	CCONJ
ejpam-5503	271	1	2λγjbraγ	2λγjbraγ	NUM
ejpam-5503	271	2	=	=	SYM
ejpam-5503	271	3	(	(	PUNCT
ejpam-5503	271	4	x	x	X
ejpam-5503	271	5	+	+	NUM
ejpam-5503	271	6	v	v	NUM
ejpam-5503	271	7	2	2	NUM
ejpam-5503	271	8	)	)	PUNCT
ejpam-5503	271	9	−	−	NOUN
ejpam-5503	272	1	pu⊥	pu⊥	VERB
ejpam-5503	272	2	a	a	PRON
ejpam-5503	272	3	+	+	X
ejpam-5503	272	4	(	(	PUNCT
ejpam-5503	272	5	1	1	NUM
ejpam-5503	272	6	−	−	NOUN
ejpam-5503	272	7	2λγ	2λγ	NOUN
ejpam-5503	272	8	)	)	PUNCT
ejpam-5503	273	1	(	(	PUNCT
ejpam-5503	273	2	x	x	X
ejpam-5503	273	3	+	+	NUM
ejpam-5503	273	4	v	v	NUM
ejpam-5503	273	5	2	2	NUM
ejpam-5503	273	6	)	)	PUNCT
ejpam-5503	273	7	−	−	NOUN
ejpam-5503	273	8	jbra	jbra	NOUN
ejpam-5503	273	9	+	+	CCONJ
ejpam-5503	274	1	2λγjbraγ	2λγjbraγ	NUM
ejpam-5503	274	2	=	=	SYM
ejpam-5503	274	3	(	(	PUNCT
ejpam-5503	274	4	x	x	X
ejpam-5503	274	5	+	+	NUM
ejpam-5503	274	6	v)−	v)−	PROPN
ejpam-5503	274	7	pu⊥	pu⊥	NOUN
ejpam-5503	274	8	a	a	DET
ejpam-5503	274	9	−	−	NOUN
ejpam-5503	274	10	λγ(x	λγ(x	PUNCT
ejpam-5503	274	11	+	+	CCONJ
ejpam-5503	274	12	v)−	v)−	PROPN
ejpam-5503	274	13	jbra	jbra	NOUN
ejpam-5503	274	14	+	+	CCONJ
ejpam-5503	275	1	2λγjbraγ	2λγjbraγ	NUM
ejpam-5503	275	2	=	=	SYM
ejpam-5503	275	3	(	(	PUNCT
ejpam-5503	275	4	x	x	SYM
ejpam-5503	275	5	+	+	NUM
ejpam-5503	275	6	v)−	v)−	NOUN
ejpam-5503	275	7	λγ(x	λγ(x	PUNCT
ejpam-5503	275	8	+	+	CCONJ
ejpam-5503	275	9	v)−	v)−	PROPN
ejpam-5503	275	10	v	v	X
ejpam-5503	275	11	+	+	X
ejpam-5503	275	12	2λγjbraγ	2λγjbraγ	NUM
ejpam-5503	275	13	=	=	SYM
ejpam-5503	275	14	x	x	SYM
ejpam-5503	275	15	−	−	NOUN
ejpam-5503	275	16	λγ(x	λγ(x	PUNCT
ejpam-5503	275	17	+	+	CCONJ
ejpam-5503	275	18	v	v	X
ejpam-5503	275	19	)	)	PUNCT
ejpam-5503	276	1	+	+	CCONJ
ejpam-5503	277	1	2λγjbraγ	2λγjbraγ	NUM
ejpam-5503	277	2	=	=	SYM
ejpam-5503	277	3	x	x	SYM
ejpam-5503	277	4	−	−	NOUN
ejpam-5503	277	5	λγ(x	λγ(x	PUNCT
ejpam-5503	277	6	+	+	CCONJ
ejpam-5503	277	7	v	v	X
ejpam-5503	277	8	)	)	PUNCT
ejpam-5503	278	1	+	+	NUM
ejpam-5503	278	2	2λγ	2λγ	ADJ
ejpam-5503	278	3	[	[	PUNCT
ejpam-5503	278	4	γv	γv	X
ejpam-5503	278	5	+	+	CCONJ
ejpam-5503	278	6	(	(	PUNCT
ejpam-5503	278	7	1	1	NUM
ejpam-5503	278	8	−	−	PROPN
ejpam-5503	278	9	γ	γ	X
ejpam-5503	278	10	)	)	PUNCT
ejpam-5503	278	11	2	2	NUM
ejpam-5503	278	12	pu	pu	NOUN
ejpam-5503	278	13	x	x	X
ejpam-5503	278	14	−	−	PROPN
ejpam-5503	279	1	(	(	PUNCT
ejpam-5503	279	2	1	1	NUM
ejpam-5503	279	3	−	−	NOUN
ejpam-5503	279	4	γ)(x	γ)(x	PROPN
ejpam-5503	280	1	+	+	CCONJ
ejpam-5503	280	2	pu	pu	PROPN
ejpam-5503	280	3	w	w	PROPN
ejpam-5503	280	4	−	−	PROPN
ejpam-5503	280	5	2w)−	2w)−	NUM
ejpam-5503	280	6	pu⊥	pu⊥	NOUN
ejpam-5503	280	7	a	a	X
ejpam-5503	280	8	]	]	X
ejpam-5503	280	9	=	=	SYM
ejpam-5503	280	10	(	(	PUNCT
ejpam-5503	280	11	1	1	NUM
ejpam-5503	280	12	−	−	NOUN
ejpam-5503	281	1	λγ(3	λγ(3	X
ejpam-5503	281	2	−	−	PROPN
ejpam-5503	281	3	2γ	2γ	NOUN
ejpam-5503	281	4	)	)	PUNCT
ejpam-5503	281	5	)	)	PUNCT
ejpam-5503	282	1	x	x	PUNCT
ejpam-5503	283	1	+	+	PUNCT
ejpam-5503	284	1	λγ(1	λγ(1	DET
ejpam-5503	284	2	−	−	X
ejpam-5503	284	3	γ)pu	γ)pu	PROPN
ejpam-5503	284	4	x	x	PUNCT
ejpam-5503	285	1	+	+	PUNCT
ejpam-5503	285	2	λγ	λγ	X
ejpam-5503	285	3	(	(	PUNCT
ejpam-5503	285	4	(	(	PUNCT
ejpam-5503	285	5	2γ	2γ	NUM
ejpam-5503	285	6	−	−	PROPN
ejpam-5503	285	7	1)v	1)v	NUM
ejpam-5503	285	8	+	+	NUM
ejpam-5503	285	9	4(1	4(1	NUM
ejpam-5503	285	10	−	−	NOUN
ejpam-5503	285	11	γ)w	γ)w	PUNCT
ejpam-5503	286	1	−	−	PROPN
ejpam-5503	286	2	2(1	2(1	NUM
ejpam-5503	286	3	−	−	PUNCT
ejpam-5503	287	1	γ)pu	γ)pu	NOUN
ejpam-5503	287	2	w	w	ADP
ejpam-5503	287	3	−	−	NOUN
ejpam-5503	287	4	2	2	NUM
ejpam-5503	287	5	pu⊥	pu⊥	NOUN
ejpam-5503	287	6	a	a	PRON
ejpam-5503	287	7	)	)	PUNCT
ejpam-5503	287	8	.	.	PUNCT
ejpam-5503	288	1	(	(	PUNCT
ejpam-5503	288	2	xii	xii	NOUN
ejpam-5503	288	3	):	):	PUNCT
ejpam-5503	288	4	using	use	VERB
ejpam-5503	288	5	(	(	PUNCT
ejpam-5503	288	6	iii	iii	NOUN
ejpam-5503	288	7	)	)	PUNCT
ejpam-5503	288	8	,	,	PUNCT
ejpam-5503	288	9	(	(	PUNCT
ejpam-5503	288	10	vi	vi	NOUN
ejpam-5503	288	11	)	)	PUNCT
ejpam-5503	288	12	,	,	PUNCT
ejpam-5503	288	13	(	(	PUNCT
ejpam-5503	288	14	viii	viii	NOUN
ejpam-5503	288	15	)	)	PUNCT
ejpam-5503	288	16	,	,	PUNCT
ejpam-5503	288	17	and	and	CCONJ
ejpam-5503	288	18	(	(	PUNCT
ejpam-5503	288	19	x	x	X
ejpam-5503	288	20	)	)	PUNCT
ejpam-5503	288	21	,	,	PUNCT
ejpam-5503	288	22	we	we	PRON
ejpam-5503	288	23	derive	derive	VERB
ejpam-5503	288	24	:	:	PUNCT
ejpam-5503	288	25	tbγ	tbγ	NOUN
ejpam-5503	288	26	,	,	PUNCT
ejpam-5503	288	27	aγ	aγ	NOUN
ejpam-5503	288	28	x	x	NOUN
ejpam-5503	288	29	=	=	NOUN
ejpam-5503	288	30	tb	tb	NOUN
ejpam-5503	288	31	,	,	PUNCT
ejpam-5503	288	32	ax	ax	NOUN
ejpam-5503	288	33	+	+	CCONJ
ejpam-5503	288	34	(	(	PUNCT
ejpam-5503	288	35	1	1	NUM
ejpam-5503	288	36	−	−	NUM
ejpam-5503	288	37	2λγ)jbx	2λγ)jbx	NUM
ejpam-5503	288	38	−	−	PROPN
ejpam-5503	288	39	jarbx	jarbx	X
ejpam-5503	288	40	+	+	NOUN
ejpam-5503	288	41	2λγjarbγ	2λγjarbγ	NUM
ejpam-5503	288	42	x	x	SYM
ejpam-5503	288	43	=	=	PUNCT
ejpam-5503	288	44	(	(	PUNCT
ejpam-5503	288	45	x	x	X
ejpam-5503	288	46	+	+	NUM
ejpam-5503	288	47	v	v	NUM
ejpam-5503	288	48	2	2	NUM
ejpam-5503	288	49	)	)	PUNCT
ejpam-5503	288	50	+	+	CCONJ
ejpam-5503	288	51	(	(	PUNCT
ejpam-5503	288	52	1	1	NUM
ejpam-5503	288	53	−	−	NUM
ejpam-5503	288	54	2λγ)jbx	2λγ)jbx	NUM
ejpam-5503	288	55	−	−	PROPN
ejpam-5503	288	56	(	(	PUNCT
ejpam-5503	288	57	x	x	SYM
ejpam-5503	289	1	+	+	NUM
ejpam-5503	289	2	v	v	NUM
ejpam-5503	289	3	2	2	NUM
ejpam-5503	289	4	)	)	PUNCT
ejpam-5503	290	1	+	+	CCONJ
ejpam-5503	290	2	1	1	NUM
ejpam-5503	290	3	2	2	NUM
ejpam-5503	290	4	pu	pu	NOUN
ejpam-5503	290	5	x	x	PUNCT
ejpam-5503	291	1	+	+	CCONJ
ejpam-5503	291	2	pu⊥	pu⊥	VERB
ejpam-5503	291	3	a	a	DET
ejpam-5503	291	4	+	+	NOUN
ejpam-5503	291	5	2λγjarbγ	2λγjarbγ	NUM
ejpam-5503	291	6	x	x	SYM
ejpam-5503	291	7	=	=	SYM
ejpam-5503	291	8	(	(	PUNCT
ejpam-5503	291	9	1	1	NUM
ejpam-5503	291	10	−	−	NOUN
ejpam-5503	291	11	2λγ	2λγ	NOUN
ejpam-5503	291	12	)	)	PUNCT
ejpam-5503	291	13	(	(	PUNCT
ejpam-5503	291	14	x	x	X
ejpam-5503	291	15	−	−	NOUN
ejpam-5503	291	16	1	1	NUM
ejpam-5503	291	17	2	2	NUM
ejpam-5503	291	18	pu	pu	NOUN
ejpam-5503	291	19	x	x	PUNCT
ejpam-5503	291	20	−	−	PROPN
ejpam-5503	292	1	pu⊥	pu⊥	NOUN
ejpam-5503	292	2	a	a	PRON
ejpam-5503	292	3	)	)	PUNCT
ejpam-5503	293	1	+	+	CCONJ
ejpam-5503	293	2	1	1	NUM
ejpam-5503	293	3	2	2	NUM
ejpam-5503	293	4	pu	pu	NOUN
ejpam-5503	293	5	x	x	PUNCT
ejpam-5503	294	1	+	+	CCONJ
ejpam-5503	294	2	pu⊥	pu⊥	VERB
ejpam-5503	294	3	a	a	DET
ejpam-5503	294	4	+	+	NOUN
ejpam-5503	294	5	2λγjarbγ	2λγjarbγ	NUM
ejpam-5503	294	6	x	x	SYM
ejpam-5503	294	7	=	=	SYM
ejpam-5503	294	8	(	(	PUNCT
ejpam-5503	294	9	1	1	NUM
ejpam-5503	294	10	−	−	PROPN
ejpam-5503	294	11	2λγ)x	2λγ)x	PROPN
ejpam-5503	294	12	+	+	CCONJ
ejpam-5503	294	13	2λγ	2λγ	ADJ
ejpam-5503	294	14	pu⊥	pu⊥	PROPN
ejpam-5503	294	15	a	a	DET
ejpam-5503	294	16	+	+	X
ejpam-5503	294	17	λγ	λγ	PROPN
ejpam-5503	294	18	pu	pu	PROPN
ejpam-5503	294	19	x	x	PUNCT
ejpam-5503	295	1	+	+	PUNCT
ejpam-5503	295	2	2λγjarbγ	2λγjarbγ	NUM
ejpam-5503	295	3	x	x	SYM
ejpam-5503	295	4	=	=	PUNCT
ejpam-5503	295	5	(	(	PUNCT
ejpam-5503	295	6	1	1	NUM
ejpam-5503	295	7	−	−	NOUN
ejpam-5503	296	1	λγ(3	λγ(3	X
ejpam-5503	296	2	−	−	PROPN
ejpam-5503	296	3	2γ	2γ	NOUN
ejpam-5503	296	4	)	)	PUNCT
ejpam-5503	296	5	)	)	PUNCT
ejpam-5503	297	1	x	x	PUNCT
ejpam-5503	298	1	+	+	PUNCT
ejpam-5503	299	1	λγ(1	λγ(1	DET
ejpam-5503	299	2	−	−	X
ejpam-5503	299	3	γ)pu	γ)pu	PROPN
ejpam-5503	299	4	x	x	PUNCT
ejpam-5503	300	1	+	+	PUNCT
ejpam-5503	300	2	λγ	λγ	X
ejpam-5503	300	3	[	[	PUNCT
ejpam-5503	300	4	2(1	2(1	NUM
ejpam-5503	300	5	−	−	NOUN
ejpam-5503	300	6	γ)pu⊥	γ)pu⊥	VERB
ejpam-5503	300	7	a	a	DET
ejpam-5503	300	8	+	+	NOUN
ejpam-5503	300	9	v	v	NOUN
ejpam-5503	300	10	+	+	CCONJ
ejpam-5503	300	11	2(1	2(1	NUM
ejpam-5503	300	12	−	−	NOUN
ejpam-5503	300	13	γ)w	γ)w	NOUN
ejpam-5503	300	14	]	]	PUNCT
ejpam-5503	300	15	,	,	PUNCT
ejpam-5503	300	16	which	which	DET
ejpam-5503	300	17	verifies	verifie	NOUN
ejpam-5503	300	18	(	(	PUNCT
ejpam-5503	300	19	xii	xii	NOUN
ejpam-5503	300	20	)	)	PUNCT
ejpam-5503	300	21	.	.	PUNCT
ejpam-5503	301	1	■	■	PUNCT
ejpam-5503	301	2	lemma	lemma	PROPN
ejpam-5503	301	3	2	2	X
ejpam-5503	301	4	.	.	PUNCT
ejpam-5503	301	5	let	let	VERB
ejpam-5503	301	6	a	a	DET
ejpam-5503	301	7	:	:	PUNCT
ejpam-5503	301	8	h	h	NOUN
ejpam-5503	301	9	⇒	⇒	NOUN
ejpam-5503	301	10	h	h	NOUN
ejpam-5503	301	11	be	be	AUX
ejpam-5503	301	12	a	a	DET
ejpam-5503	301	13	maximally	maximally	ADV
ejpam-5503	301	14	monotone	monotone	ADJ
ejpam-5503	301	15	and	and	CCONJ
ejpam-5503	301	16	γ	γ	X
ejpam-5503	301	17	∈	∈	PROPN
ejpam-5503	301	18	]	]	X
ejpam-5503	301	19	0	0	NUM
ejpam-5503	301	20	,	,	PUNCT
ejpam-5503	301	21	1	1	NUM
ejpam-5503	301	22	[	[	NOUN
ejpam-5503	301	23	.	.	PUNCT
ejpam-5503	302	1	if	if	SCONJ
ejpam-5503	302	2	ja	ja	PROPN
ejpam-5503	302	3	is	be	AUX
ejpam-5503	302	4	affine	affine	NOUN
ejpam-5503	302	5	,	,	PUNCT
ejpam-5503	302	6	then	then	ADV
ejpam-5503	302	7	:	:	PUNCT
ejpam-5503	302	8	jaγ	jaγ	PROPN
ejpam-5503	302	9	raγ	raγ	NOUN
ejpam-5503	302	10	=	=	NOUN
ejpam-5503	303	1	raγ	raγ	NOUN
ejpam-5503	303	2	jaγ	jaγ	NOUN
ejpam-5503	303	3	.	.	PUNCT
ejpam-5503	304	1	(	(	PUNCT
ejpam-5503	304	2	30	30	X
ejpam-5503	304	3	)	)	PUNCT
ejpam-5503	304	4	proof	proof	NOUN
ejpam-5503	304	5	.	.	PUNCT
ejpam-5503	305	1	combine	combine	VERB
ejpam-5503	305	2	proposition	proposition	NOUN
ejpam-5503	305	3	1(i	1(i	NUM
ejpam-5503	305	4	)	)	PUNCT
ejpam-5503	305	5	and	and	CCONJ
ejpam-5503	305	6	[	[	X
ejpam-5503	305	7	7	7	NUM
ejpam-5503	305	8	,	,	PUNCT
ejpam-5503	305	9	lemma	lemma	PROPN
ejpam-5503	305	10	2.4	2.4	NUM
ejpam-5503	305	11	(	(	PUNCT
ejpam-5503	305	12	i	i	NOUN
ejpam-5503	305	13	)	)	PUNCT
ejpam-5503	305	14	]	]	PUNCT
ejpam-5503	305	15	.	.	PUNCT
ejpam-5503	306	1	■	■	PUNCT
ejpam-5503	306	2	lemma	lemma	PROPN
ejpam-5503	306	3	3	3	X
ejpam-5503	306	4	.	.	PUNCT
ejpam-5503	306	5	assuming	assume	VERB
ejpam-5503	306	6	that	that	SCONJ
ejpam-5503	306	7	a	a	PRON
ejpam-5503	306	8	is	be	AUX
ejpam-5503	306	9	an	an	DET
ejpam-5503	306	10	affine	affine	NOUN
ejpam-5503	306	11	relation	relation	NOUN
ejpam-5503	306	12	,	,	PUNCT
ejpam-5503	306	13	we	we	PRON
ejpam-5503	306	14	can	can	AUX
ejpam-5503	306	15	conclude	conclude	VERB
ejpam-5503	306	16	:	:	PUNCT
ejpam-5503	306	17	raγ	raγ	NOUN
ejpam-5503	306	18	taγ	taγ	NOUN
ejpam-5503	306	19	,	,	PUNCT
ejpam-5503	306	20	bγ	bγ	ADP
ejpam-5503	306	21	−	−	PROPN
ejpam-5503	307	1	tbγ	tbγ	NOUN
ejpam-5503	307	2	,	,	PUNCT
ejpam-5503	307	3	aγ	aγ	PRON
ejpam-5503	307	4	raγ	raγ	NOUN
ejpam-5503	307	5	=	=	SYM
ejpam-5503	307	6	2	2	NUM
ejpam-5503	307	7	(	(	PUNCT
ejpam-5503	307	8	jaγ	jaγ	NOUN
ejpam-5503	307	9	taγ	taγ	PROPN
ejpam-5503	307	10	,	,	PUNCT
ejpam-5503	307	11	bγ	bγ	ADP
ejpam-5503	307	12	−	−	PROPN
ejpam-5503	308	1	(	(	PUNCT
ejpam-5503	308	2	1	1	NUM
ejpam-5503	308	3	−	−	NOUN
ejpam-5503	308	4	λ)jaγ	λ)jaγ	ADV
ejpam-5503	308	5	−	−	ADP
ejpam-5503	308	6	λjaγ	λjaγ	NOUN
ejpam-5503	308	7	rbγ	rbγ	NOUN
ejpam-5503	308	8	raγ	raγ	PROPN
ejpam-5503	308	9	)	)	PUNCT
ejpam-5503	308	10	.	.	PUNCT
ejpam-5503	309	1	(	(	PUNCT
ejpam-5503	309	2	31	31	NUM
ejpam-5503	309	3	)	)	PUNCT
ejpam-5503	309	4	=	=	NOUN
ejpam-5503	309	5	2γ	2γ	NOUN
ejpam-5503	309	6	(	(	PUNCT
ejpam-5503	309	7	jata	jata	PROPN
ejpam-5503	309	8	,	,	PUNCT
ejpam-5503	309	9	b	b	NOUN
ejpam-5503	309	10	−	−	PROPN
ejpam-5503	309	11	(	(	PUNCT
ejpam-5503	309	12	1	1	NUM
ejpam-5503	309	13	−	−	NOUN
ejpam-5503	310	1	λ)ja	λ)ja	PROPN
ejpam-5503	310	2	−	−	PROPN
ejpam-5503	310	3	λjarbγ	λjarbγ	NOUN
ejpam-5503	310	4	raγ	raγ	PROPN
ejpam-5503	310	5	)	)	PUNCT
ejpam-5503	310	6	.	.	PUNCT
ejpam-5503	311	1	(	(	PUNCT
ejpam-5503	311	2	32	32	NUM
ejpam-5503	311	3	)	)	PUNCT
ejpam-5503	311	4	proof	proof	NOUN
ejpam-5503	311	5	.	.	PUNCT
ejpam-5503	312	1	from	from	ADP
ejpam-5503	312	2	proposition	proposition	NOUN
ejpam-5503	312	3	1(ii	1(ii	NUM
ejpam-5503	312	4	)	)	PUNCT
ejpam-5503	312	5	,	,	PUNCT
ejpam-5503	312	6	it	it	PRON
ejpam-5503	312	7	follows	follow	VERB
ejpam-5503	312	8	that	that	SCONJ
ejpam-5503	312	9	aγ	aγ	PRON
ejpam-5503	312	10	is	be	AUX
ejpam-5503	312	11	an	an	DET
ejpam-5503	312	12	affine	affine	NOUN
ejpam-5503	312	13	relation	relation	NOUN
ejpam-5503	312	14	.	.	PUNCT
ejpam-5503	313	1	therefore	therefore	ADV
ejpam-5503	313	2	,	,	PUNCT
ejpam-5503	313	3	applying	apply	VERB
ejpam-5503	313	4	(	(	PUNCT
ejpam-5503	313	5	7	7	NUM
ejpam-5503	313	6	)	)	PUNCT
ejpam-5503	313	7	and	and	CCONJ
ejpam-5503	313	8	(	(	PUNCT
ejpam-5503	313	9	17	17	NUM
ejpam-5503	313	10	)	)	PUNCT
ejpam-5503	313	11	,	,	PUNCT
ejpam-5503	313	12	we	we	PRON
ejpam-5503	313	13	derive	derive	VERB
ejpam-5503	313	14	:	:	PUNCT
ejpam-5503	313	15	raγ	raγ	NOUN
ejpam-5503	313	16	taγ	taγ	NOUN
ejpam-5503	313	17	,	,	PUNCT
ejpam-5503	313	18	bγ	bγ	ADP
ejpam-5503	313	19	−	−	PROPN
ejpam-5503	314	1	tbγ	tbγ	NOUN
ejpam-5503	314	2	,	,	PUNCT
ejpam-5503	314	3	aγ	aγ	PRON
ejpam-5503	314	4	raγ	raγ	NOUN
ejpam-5503	314	5	=	=	PUNCT
ejpam-5503	314	6	(	(	PUNCT
ejpam-5503	314	7	2jaγ	2jaγ	NUM
ejpam-5503	314	8	−	−	NOUN
ejpam-5503	314	9	i	i	PROPN
ejpam-5503	314	10	d	d	PROPN
ejpam-5503	314	11	)	)	PUNCT
ejpam-5503	314	12	taγ	taγ	NOUN
ejpam-5503	314	13	,	,	PUNCT
ejpam-5503	314	14	bγ	bγ	ADP
ejpam-5503	314	15	−	−	PROPN
ejpam-5503	315	1	tbγ	tbγ	NOUN
ejpam-5503	315	2	,	,	PUNCT
ejpam-5503	315	3	aγ	aγ	PRON
ejpam-5503	315	4	raγ	raγ	NOUN
ejpam-5503	315	5	=	=	SYM
ejpam-5503	315	6	2jaγ	2jaγ	NUM
ejpam-5503	315	7	taγ	taγ	NOUN
ejpam-5503	315	8	,	,	PUNCT
ejpam-5503	315	9	bγ	bγ	ADP
ejpam-5503	315	10	−	−	PROPN
ejpam-5503	315	11	taγ	taγ	NOUN
ejpam-5503	315	12	,	,	PUNCT
ejpam-5503	315	13	bγ	bγ	ADP
ejpam-5503	315	14	−	−	PROPN
ejpam-5503	316	1	tbγ	tbγ	NOUN
ejpam-5503	316	2	,	,	PUNCT
ejpam-5503	316	3	aγ	aγ	PRON
ejpam-5503	316	4	raγ	raγ	NOUN
ejpam-5503	316	5	=	=	SYM
ejpam-5503	316	6	2jaγ	2jaγ	NUM
ejpam-5503	316	7	taγ	taγ	NOUN
ejpam-5503	316	8	,	,	PUNCT
ejpam-5503	316	9	bγ	bγ	ADP
ejpam-5503	316	10	−	−	PROPN
ejpam-5503	316	11	taγ	taγ	NOUN
ejpam-5503	316	12	,	,	PUNCT
ejpam-5503	316	13	bγ	bγ	ADP
ejpam-5503	316	14	−	−	PROPN
ejpam-5503	317	1	(	(	PUNCT
ejpam-5503	317	2	id+2λjaγ	id+2λjaγ	PROPN
ejpam-5503	317	3	rbγ	rbγ	NOUN
ejpam-5503	317	4	−	−	PROPN
ejpam-5503	317	5	2λjbγ	2λjbγ	NUM
ejpam-5503	317	6	)	)	PUNCT
ejpam-5503	318	1	raγ	raγ	PROPN
ejpam-5503	319	1	s.	s.	PROPN
ejpam-5503	319	2	th	th	PROPN
ejpam-5503	319	3	.	.	PUNCT
ejpam-5503	320	1	alwadani	alwadani	PROPN
ejpam-5503	320	2	/	/	SYM
ejpam-5503	320	3	eur	eur	PROPN
ejpam-5503	320	4	.	.	PUNCT
ejpam-5503	321	1	j.	j.	PROPN
ejpam-5503	321	2	pure	pure	PROPN
ejpam-5503	321	3	appl	appl	PROPN
ejpam-5503	321	4	.	.	PROPN
ejpam-5503	321	5	math	math	PROPN
ejpam-5503	321	6	,	,	PUNCT
ejpam-5503	321	7	18	18	NUM
ejpam-5503	321	8	(	(	PUNCT
ejpam-5503	321	9	1	1	NUM
ejpam-5503	321	10	)	)	PUNCT
ejpam-5503	321	11	(	(	PUNCT
ejpam-5503	321	12	2025	2025	NUM
ejpam-5503	321	13	)	)	PUNCT
ejpam-5503	321	14	,	,	PUNCT
ejpam-5503	321	15	5503	5503	NUM
ejpam-5503	321	16	10	10	NUM
ejpam-5503	321	17	of	of	ADP
ejpam-5503	321	18	16	16	NUM
ejpam-5503	321	19	=	=	SYM
ejpam-5503	321	20	2jaγ	2jaγ	NUM
ejpam-5503	321	21	taγ	taγ	NOUN
ejpam-5503	321	22	,	,	PUNCT
ejpam-5503	321	23	bγ	bγ	ADP
ejpam-5503	321	24	−	−	PROPN
ejpam-5503	321	25	taγ	taγ	NOUN
ejpam-5503	321	26	,	,	PUNCT
ejpam-5503	321	27	bγ	bγ	PRON
ejpam-5503	321	28	−	−	PROPN
ejpam-5503	322	1	raγ	raγ	NOUN
ejpam-5503	323	1	−	−	PROPN
ejpam-5503	323	2	2λ	2λ	NUM
ejpam-5503	323	3	(	(	PUNCT
ejpam-5503	323	4	jaγ	jaγ	PROPN
ejpam-5503	323	5	rbγ	rbγ	NOUN
ejpam-5503	323	6	raγ	raγ	NOUN
ejpam-5503	323	7	−	−	PROPN
ejpam-5503	324	1	jbγ	jbγ	PROPN
ejpam-5503	324	2	raγ	raγ	NOUN
ejpam-5503	324	3	)	)	PUNCT
ejpam-5503	325	1	=	=	SYM
ejpam-5503	326	1	2jaγ	2jaγ	NUM
ejpam-5503	326	2	taγ	taγ	NOUN
ejpam-5503	326	3	,	,	PUNCT
ejpam-5503	326	4	bγ	bγ	ADP
ejpam-5503	326	5	−	−	PROPN
ejpam-5503	327	1	(	(	PUNCT
ejpam-5503	327	2	id+2λjbγ	id+2λjbγ	PROPN
ejpam-5503	327	3	raγ	raγ	NOUN
ejpam-5503	327	4	−	−	PROPN
ejpam-5503	327	5	2λjaγ	2λjaγ	NUM
ejpam-5503	327	6	)	)	PUNCT
ejpam-5503	328	1	−	−	PROPN
ejpam-5503	328	2	raγ	raγ	NOUN
ejpam-5503	328	3	−	−	PROPN
ejpam-5503	328	4	2λ	2λ	NUM
ejpam-5503	328	5	(	(	PUNCT
ejpam-5503	328	6	jaγ	jaγ	PROPN
ejpam-5503	328	7	rbγ	rbγ	NOUN
ejpam-5503	328	8	raγ	raγ	NOUN
ejpam-5503	329	1	−	−	PROPN
ejpam-5503	329	2	jbγ	jbγ	PROPN
ejpam-5503	329	3	raγ	raγ	NOUN
ejpam-5503	329	4	)	)	PUNCT
ejpam-5503	330	1	=	=	SYM
ejpam-5503	331	1	2jaγ	2jaγ	NUM
ejpam-5503	331	2	taγ	taγ	NOUN
ejpam-5503	331	3	,	,	PUNCT
ejpam-5503	331	4	bγ	bγ	ADP
ejpam-5503	331	5	−	−	PROPN
ejpam-5503	331	6	id+2λjaγ	id+2λjaγ	VERB
ejpam-5503	331	7	−	−	PROPN
ejpam-5503	331	8	raγ	raγ	NOUN
ejpam-5503	332	1	−	−	PROPN
ejpam-5503	332	2	2λjaγ	2λjaγ	NUM
ejpam-5503	332	3	rbγ	rbγ	NOUN
ejpam-5503	332	4	raγ	raγ	NOUN
ejpam-5503	332	5	=	=	SYM
ejpam-5503	332	6	2jaγ	2jaγ	NUM
ejpam-5503	332	7	taγ	taγ	NOUN
ejpam-5503	332	8	,	,	PUNCT
ejpam-5503	332	9	bγ	bγ	ADP
ejpam-5503	332	10	−	−	PROPN
ejpam-5503	332	11	2(1	2(1	NUM
ejpam-5503	333	1	−	−	NOUN
ejpam-5503	334	1	λ)jaγ	λ)jaγ	ADV
ejpam-5503	334	2	−	−	PROPN
ejpam-5503	334	3	2λjaγ	2λjaγ	NUM
ejpam-5503	334	4	rbγ	rbγ	NOUN
ejpam-5503	334	5	raγ	raγ	NOUN
ejpam-5503	334	6	,	,	PUNCT
ejpam-5503	334	7	this	this	PRON
ejpam-5503	334	8	confirms	confirm	VERB
ejpam-5503	334	9	(	(	PUNCT
ejpam-5503	334	10	31	31	NUM
ejpam-5503	334	11	)	)	PUNCT
ejpam-5503	334	12	.	.	PUNCT
ejpam-5503	335	1	subsequently	subsequently	ADV
ejpam-5503	335	2	,	,	PUNCT
ejpam-5503	335	3	utilizing	utilize	VERB
ejpam-5503	335	4	(	(	PUNCT
ejpam-5503	335	5	6	6	NUM
ejpam-5503	335	6	)	)	PUNCT
ejpam-5503	335	7	and	and	CCONJ
ejpam-5503	335	8	(	(	PUNCT
ejpam-5503	335	9	31	31	NUM
ejpam-5503	335	10	)	)	PUNCT
ejpam-5503	335	11	gives	give	VERB
ejpam-5503	335	12	raγ	raγ	NOUN
ejpam-5503	335	13	taγ	taγ	NOUN
ejpam-5503	335	14	,	,	PUNCT
ejpam-5503	335	15	bγ	bγ	ADP
ejpam-5503	335	16	−	−	PROPN
ejpam-5503	335	17	tbγ	tbγ	NOUN
ejpam-5503	335	18	,	,	PUNCT
ejpam-5503	335	19	aγ	aγ	PRON
ejpam-5503	335	20	raγ	raγ	NOUN
ejpam-5503	335	21	=	=	SYM
ejpam-5503	335	22	2jaγ	2jaγ	NUM
ejpam-5503	335	23	taγ	taγ	NOUN
ejpam-5503	335	24	,	,	PUNCT
ejpam-5503	335	25	bγ	bγ	ADP
ejpam-5503	335	26	−	−	PROPN
ejpam-5503	336	1	2(1	2(1	NUM
ejpam-5503	337	1	−	−	NOUN
ejpam-5503	338	1	λ)jaγ	λ)jaγ	ADV
ejpam-5503	338	2	−	−	PROPN
ejpam-5503	338	3	2λjaγ	2λjaγ	NUM
ejpam-5503	338	4	rbγ	rbγ	NOUN
ejpam-5503	338	5	raγ	raγ	NOUN
ejpam-5503	338	6	=	=	SYM
ejpam-5503	338	7	2	2	NUM
ejpam-5503	338	8	(	(	PUNCT
ejpam-5503	338	9	γja	γja	NOUN
ejpam-5503	338	10	+	+	CCONJ
ejpam-5503	338	11	(	(	PUNCT
ejpam-5503	338	12	1	1	NUM
ejpam-5503	338	13	−	−	NOUN
ejpam-5503	338	14	γ)w	γ)w	PUNCT
ejpam-5503	338	15	)	)	PUNCT
ejpam-5503	339	1	taγ	taγ	NOUN
ejpam-5503	339	2	,	,	PUNCT
ejpam-5503	339	3	bγ	bγ	ADP
ejpam-5503	339	4	−	−	ADP
ejpam-5503	339	5	2(1	2(1	NUM
ejpam-5503	339	6	−	−	PROPN
ejpam-5503	339	7	λ	λ	NOUN
ejpam-5503	339	8	)	)	PUNCT
ejpam-5503	339	9	(	(	PUNCT
ejpam-5503	339	10	γja	γja	NOUN
ejpam-5503	339	11	+	+	CCONJ
ejpam-5503	339	12	(	(	PUNCT
ejpam-5503	339	13	1	1	NUM
ejpam-5503	339	14	−	−	NOUN
ejpam-5503	339	15	γ)w	γ)w	PUNCT
ejpam-5503	339	16	)	)	PUNCT
ejpam-5503	340	1	−	−	PROPN
ejpam-5503	340	2	2λ	2λ	NUM
ejpam-5503	340	3	(	(	PUNCT
ejpam-5503	340	4	γja	γja	PROPN
ejpam-5503	340	5	+	+	CCONJ
ejpam-5503	340	6	(	(	PUNCT
ejpam-5503	340	7	1	1	NUM
ejpam-5503	340	8	−	−	NOUN
ejpam-5503	340	9	γ)w	γ)w	PUNCT
ejpam-5503	340	10	)	)	PUNCT
ejpam-5503	341	1	rbγ	rbγ	NOUN
ejpam-5503	341	2	raγ	raγ	NOUN
ejpam-5503	341	3	=	=	SYM
ejpam-5503	341	4	2γjataγ	2γjataγ	NUM
ejpam-5503	341	5	,	,	PUNCT
ejpam-5503	341	6	bγ	bγ	PRON
ejpam-5503	341	7	−	−	PROPN
ejpam-5503	341	8	2γ(1	2γ(1	PUNCT
ejpam-5503	342	1	−	−	PUNCT
ejpam-5503	343	1	λ)ja	λ)ja	PROPN
ejpam-5503	343	2	−	−	PROPN
ejpam-5503	343	3	2λγjarbγ	2λγjarbγ	NUM
ejpam-5503	343	4	raγ	raγ	NOUN
ejpam-5503	343	5	.	.	PUNCT
ejpam-5503	344	1	■	■	PUNCT
ejpam-5503	344	2	theorem	theorem	ADJ
ejpam-5503	344	3	1	1	NUM
ejpam-5503	344	4	.	.	PUNCT
ejpam-5503	344	5	let	let	VERB
ejpam-5503	344	6	γ	γ	X
ejpam-5503	344	7	∈	∈	PROPN
ejpam-5503	344	8	]	]	X
ejpam-5503	344	9	0	0	NUM
ejpam-5503	344	10	,	,	PUNCT
ejpam-5503	344	11	1	1	NUM
ejpam-5503	344	12	[	[	PUNCT
ejpam-5503	344	13	and	and	CCONJ
ejpam-5503	344	14	λ	λ	X
ejpam-5503	344	15	∈	∈	PROPN
ejpam-5503	344	16	]	]	X
ejpam-5503	344	17	0	0	NUM
ejpam-5503	344	18	,	,	PUNCT
ejpam-5503	344	19	1	1	NUM
ejpam-5503	344	20	]	]	PUNCT
ejpam-5503	344	21	,	,	PUNCT
ejpam-5503	344	22	and	and	CCONJ
ejpam-5503	344	23	suppose	suppose	VERB
ejpam-5503	344	24	that	that	SCONJ
ejpam-5503	344	25	a	a	PRON
ejpam-5503	344	26	is	be	AUX
ejpam-5503	344	27	an	an	DET
ejpam-5503	344	28	affine	affine	NOUN
ejpam-5503	344	29	realtion	realtion	NOUN
ejpam-5503	344	30	.	.	PUNCT
ejpam-5503	345	1	then	then	ADV
ejpam-5503	345	2	:	:	PUNCT
ejpam-5503	345	3	raγ	raγ	VERB
ejpam-5503	345	4	tn	tn	PROPN
ejpam-5503	346	1	aγ	aγ	PROPN
ejpam-5503	346	2	,	,	PUNCT
ejpam-5503	346	3	bγ	bγ	NOUN
ejpam-5503	346	4	=	=	SYM
ejpam-5503	347	1	tn	tn	PROPN
ejpam-5503	347	2	bγ	bγ	NOUN
ejpam-5503	347	3	,	,	PUNCT
ejpam-5503	347	4	aγ	aγ	PRON
ejpam-5503	347	5	raγ	raγ	NOUN
ejpam-5503	347	6	.	.	PUNCT
ejpam-5503	348	1	(	(	PUNCT
ejpam-5503	348	2	33	33	NUM
ejpam-5503	348	3	)	)	PUNCT
ejpam-5503	348	4	proof	proof	NOUN
ejpam-5503	348	5	.	.	PUNCT
ejpam-5503	349	1	we	we	PRON
ejpam-5503	349	2	will	will	AUX
ejpam-5503	349	3	demonstrate	demonstrate	VERB
ejpam-5503	349	4	by	by	ADP
ejpam-5503	349	5	induction	induction	NOUN
ejpam-5503	349	6	that	that	PRON
ejpam-5503	349	7	raγ	raγ	VERB
ejpam-5503	349	8	tn	tn	NOUN
ejpam-5503	349	9	aγ	aγ	PROPN
ejpam-5503	349	10	,	,	PUNCT
ejpam-5503	349	11	bγ	bγ	NOUN
ejpam-5503	349	12	=	=	SYM
ejpam-5503	349	13	tn	tn	PROPN
ejpam-5503	349	14	bγ	bγ	NOUN
ejpam-5503	349	15	,	,	PUNCT
ejpam-5503	349	16	aγ	aγ	PRON
ejpam-5503	349	17	raγ	raγ	NOUN
ejpam-5503	349	18	.	.	PUNCT
ejpam-5503	350	1	starting	start	VERB
ejpam-5503	350	2	with	with	ADP
ejpam-5503	350	3	n	n	NOUN
ejpam-5503	350	4	=	=	SYM
ejpam-5503	350	5	1	1	NUM
ejpam-5503	350	6	,	,	PUNCT
ejpam-5503	350	7	we	we	PRON
ejpam-5503	350	8	can	can	AUX
ejpam-5503	350	9	use	use	VERB
ejpam-5503	350	10	(	(	PUNCT
ejpam-5503	350	11	32	32	NUM
ejpam-5503	350	12	)	)	PUNCT
ejpam-5503	350	13	to	to	PART
ejpam-5503	350	14	derive	derive	VERB
ejpam-5503	350	15	:	:	PUNCT
ejpam-5503	350	16	raγ	raγ	NOUN
ejpam-5503	350	17	taγ	taγ	NOUN
ejpam-5503	350	18	,	,	PUNCT
ejpam-5503	350	19	bγ	bγ	ADP
ejpam-5503	350	20	−	−	PROPN
ejpam-5503	351	1	tbγ	tbγ	NOUN
ejpam-5503	351	2	,	,	PUNCT
ejpam-5503	351	3	aγ	aγ	PRON
ejpam-5503	351	4	raγ	raγ	NOUN
ejpam-5503	351	5	=	=	SYM
ejpam-5503	351	6	2γjataγ	2γjataγ	NUM
ejpam-5503	351	7	,	,	PUNCT
ejpam-5503	351	8	bγ	bγ	PRON
ejpam-5503	351	9	−	−	PROPN
ejpam-5503	351	10	2γ(1	2γ(1	PUNCT
ejpam-5503	352	1	−	−	PUNCT
ejpam-5503	353	1	λ)ja	λ)ja	PROPN
ejpam-5503	353	2	−	−	PROPN
ejpam-5503	353	3	2λγjarbγ	2λγjarbγ	NUM
ejpam-5503	353	4	raγ	raγ	NOUN
ejpam-5503	353	5	=	=	SYM
ejpam-5503	353	6	ja	ja	PROPN
ejpam-5503	353	7	(	(	PUNCT
ejpam-5503	353	8	2γ	2γ	X
ejpam-5503	353	9	(	(	PUNCT
ejpam-5503	353	10	taγ	taγ	NOUN
ejpam-5503	353	11	,	,	PUNCT
ejpam-5503	353	12	bγ	bγ	ADP
ejpam-5503	353	13	−	−	PROPN
ejpam-5503	354	1	(	(	PUNCT
ejpam-5503	354	2	1	1	NUM
ejpam-5503	354	3	−	−	PROPN
ejpam-5503	354	4	λ	λ	PROPN
ejpam-5503	354	5	)	)	PUNCT
ejpam-5503	354	6	i	i	PROPN
ejpam-5503	354	7	d	d	PROPN
ejpam-5503	354	8	)	)	PUNCT
ejpam-5503	354	9	)	)	PUNCT
ejpam-5503	355	1	−	−	PROPN
ejpam-5503	355	2	2λγjarbγ	2λγjarbγ	NUM
ejpam-5503	355	3	raγ	raγ	NOUN
ejpam-5503	355	4	=	=	SYM
ejpam-5503	355	5	ja	ja	PROPN
ejpam-5503	355	6	(	(	PUNCT
ejpam-5503	355	7	2γ	2γ	X
ejpam-5503	355	8	(	(	PUNCT
ejpam-5503	355	9	(	(	PUNCT
ejpam-5503	355	10	1	1	NUM
ejpam-5503	355	11	−	−	PROPN
ejpam-5503	355	12	λ	λ	NOUN
ejpam-5503	355	13	)	)	PUNCT
ejpam-5503	355	14	id+λrbγ	id+λrbγ	ADJ
ejpam-5503	355	15	raγ	raγ	NOUN
ejpam-5503	355	16	)	)	PUNCT
ejpam-5503	355	17	−	−	PROPN
ejpam-5503	355	18	2γ(1	2γ(1	NUM
ejpam-5503	356	1	−	−	PROPN
ejpam-5503	356	2	λ	λ	SYM
ejpam-5503	356	3	)	)	PUNCT
ejpam-5503	356	4	i	i	PROPN
ejpam-5503	356	5	d	d	NOUN
ejpam-5503	356	6	)	)	PUNCT
ejpam-5503	357	1	−	−	PROPN
ejpam-5503	357	2	2λγjarbγ	2λγjarbγ	NUM
ejpam-5503	357	3	raγ	raγ	NOUN
ejpam-5503	357	4	=	=	SYM
ejpam-5503	357	5	2λγjarbγ	2λγjarbγ	NUM
ejpam-5503	357	6	raγ	raγ	NOUN
ejpam-5503	357	7	−	−	PROPN
ejpam-5503	357	8	2λγjarbγ	2λγjarbγ	NUM
ejpam-5503	357	9	raγ	raγ	NOUN
ejpam-5503	357	10	=	=	NOUN
ejpam-5503	357	11	0	0	X
ejpam-5503	357	12	.	.	NOUN
ejpam-5503	357	13	hypothesis	hypothesis	NOUN
ejpam-5503	357	14	assumption	assumption	NOUN
ejpam-5503	357	15	:	:	PUNCT
ejpam-5503	357	16	when	when	SCONJ
ejpam-5503	357	17	n	n	X
ejpam-5503	357	18	=	=	SYM
ejpam-5503	357	19	k	k	PROPN
ejpam-5503	357	20	;	;	PUNCT
ejpam-5503	357	21	raγ	raγ	NOUN
ejpam-5503	357	22	tk	tk	PROPN
ejpam-5503	357	23	aγ	aγ	NOUN
ejpam-5503	357	24	,	,	PUNCT
ejpam-5503	357	25	bγ	bγ	PRON
ejpam-5503	357	26	−	−	PROPN
ejpam-5503	357	27	tk	tk	PROPN
ejpam-5503	358	1	bγ	bγ	ADV
ejpam-5503	358	2	,	,	PUNCT
ejpam-5503	358	3	aγ	aγ	PRON
ejpam-5503	358	4	raγ	raγ	NOUN
ejpam-5503	358	5	=	=	NOUN
ejpam-5503	358	6	0	0	PROPN
ejpam-5503	358	7	.	.	PUNCT
ejpam-5503	359	1	(	(	PUNCT
ejpam-5503	359	2	34	34	NUM
ejpam-5503	359	3	)	)	PUNCT
ejpam-5503	359	4	for	for	ADP
ejpam-5503	359	5	n	n	NOUN
ejpam-5503	359	6	=	=	SYM
ejpam-5503	359	7	k	k	PROPN
ejpam-5503	360	1	+	+	PROPN
ejpam-5503	360	2	1	1	NUM
ejpam-5503	360	3	,	,	PUNCT
ejpam-5503	360	4	and	and	CCONJ
ejpam-5503	360	5	utilizing	utilize	VERB
ejpam-5503	360	6	(	(	PUNCT
ejpam-5503	360	7	34	34	NUM
ejpam-5503	360	8	)	)	PUNCT
ejpam-5503	360	9	,	,	PUNCT
ejpam-5503	360	10	we	we	PRON
ejpam-5503	360	11	obtain	obtain	VERB
ejpam-5503	360	12	:	:	PUNCT
ejpam-5503	360	13	raγ	raγ	NOUN
ejpam-5503	360	14	tk+1	tk+1	NOUN
ejpam-5503	361	1	aγ	aγ	NOUN
ejpam-5503	361	2	,	,	PUNCT
ejpam-5503	361	3	bγ	bγ	PRON
ejpam-5503	361	4	−	−	PROPN
ejpam-5503	361	5	tk+1	tk+1	NOUN
ejpam-5503	362	1	bγ	bγ	ADV
ejpam-5503	362	2	,	,	PUNCT
ejpam-5503	362	3	aγ	aγ	PRON
ejpam-5503	362	4	raγ	raγ	NOUN
ejpam-5503	363	1	=	=	NOUN
ejpam-5503	363	2	raγ	raγ	NOUN
ejpam-5503	363	3	tk	tk	NOUN
ejpam-5503	363	4	aγ	aγ	NOUN
ejpam-5503	363	5	,	,	PUNCT
ejpam-5503	363	6	bγ	bγ	PROPN
ejpam-5503	363	7	taγ	taγ	NOUN
ejpam-5503	363	8	,	,	PUNCT
ejpam-5503	363	9	bγ	bγ	PRON
ejpam-5503	363	10	−	−	PROPN
ejpam-5503	364	1	tk	tk	PROPN
ejpam-5503	365	1	bγ	bγ	ADV
ejpam-5503	365	2	,	,	PUNCT
ejpam-5503	365	3	aγ	aγ	PRON
ejpam-5503	365	4	tbγ	tbγ	NOUN
ejpam-5503	365	5	,	,	PUNCT
ejpam-5503	365	6	aγ	aγ	PRON
ejpam-5503	365	7	raγ	raγ	NOUN
ejpam-5503	366	1	=	=	NOUN
ejpam-5503	366	2	raγ	raγ	NOUN
ejpam-5503	366	3	tk	tk	NOUN
ejpam-5503	366	4	aγ	aγ	NOUN
ejpam-5503	366	5	,	,	PUNCT
ejpam-5503	366	6	bγ	bγ	PROPN
ejpam-5503	366	7	taγ	taγ	NOUN
ejpam-5503	366	8	,	,	PUNCT
ejpam-5503	366	9	bγ	bγ	PRON
ejpam-5503	366	10	−	−	PROPN
ejpam-5503	366	11	tk	tk	PROPN
ejpam-5503	367	1	bγ	bγ	ADV
ejpam-5503	367	2	,	,	PUNCT
ejpam-5503	367	3	aγ	aγ	PRON
ejpam-5503	367	4	raγ	raγ	NOUN
ejpam-5503	367	5	taγ	taγ	NOUN
ejpam-5503	367	6	,	,	PUNCT
ejpam-5503	367	7	bγ	bγ	PROPN
ejpam-5503	367	8	=	=	PUNCT
ejpam-5503	368	1	raγ	raγ	NOUN
ejpam-5503	368	2	tk	tk	NOUN
ejpam-5503	368	3	aγ	aγ	NOUN
ejpam-5503	368	4	,	,	PUNCT
ejpam-5503	368	5	bγ	bγ	PROPN
ejpam-5503	368	6	taγ	taγ	NOUN
ejpam-5503	368	7	,	,	PUNCT
ejpam-5503	368	8	bγ	bγ	PRON
ejpam-5503	368	9	−	−	PROPN
ejpam-5503	369	1	raγ	raγ	NOUN
ejpam-5503	369	2	tk	tk	NOUN
ejpam-5503	369	3	aγ	aγ	NOUN
ejpam-5503	369	4	,	,	PUNCT
ejpam-5503	369	5	bγ	bγ	PROPN
ejpam-5503	369	6	taγ	taγ	NOUN
ejpam-5503	369	7	,	,	PUNCT
ejpam-5503	369	8	bγ	bγ	ADP
ejpam-5503	369	9	=	=	NOUN
ejpam-5503	369	10	0	0	X
ejpam-5503	369	11	.	.	PUNCT
ejpam-5503	370	1	therefore	therefore	ADV
ejpam-5503	370	2	,	,	PUNCT
ejpam-5503	370	3	(	(	PUNCT
ejpam-5503	370	4	33	33	NUM
ejpam-5503	370	5	)	)	PUNCT
ejpam-5503	370	6	has	have	AUX
ejpam-5503	370	7	been	be	AUX
ejpam-5503	370	8	verified	verify	VERB
ejpam-5503	370	9	.	.	PUNCT
ejpam-5503	371	1	■	■	PUNCT
ejpam-5503	371	2	lemma	lemma	PROPN
ejpam-5503	371	3	4	4	X
ejpam-5503	371	4	.	.	PUNCT
ejpam-5503	371	5	suppose	suppose	VERB
ejpam-5503	371	6	both	both	DET
ejpam-5503	371	7	a	a	PRON
ejpam-5503	371	8	and	and	CCONJ
ejpam-5503	371	9	b	b	NOUN
ejpam-5503	371	10	are	be	AUX
ejpam-5503	371	11	affine	affine	NOUN
ejpam-5503	371	12	relations	relation	NOUN
ejpam-5503	371	13	.	.	PUNCT
ejpam-5503	372	1	then	then	ADV
ejpam-5503	372	2	the	the	DET
ejpam-5503	372	3	following	follow	VERB
ejpam-5503	372	4	holds	hold	NOUN
ejpam-5503	372	5	:	:	PUNCT
ejpam-5503	373	1	s.	s.	PROPN
ejpam-5503	373	2	th	th	PROPN
ejpam-5503	373	3	.	.	PUNCT
ejpam-5503	374	1	alwadani	alwadani	PROPN
ejpam-5503	374	2	/	/	SYM
ejpam-5503	374	3	eur	eur	PROPN
ejpam-5503	374	4	.	.	PUNCT
ejpam-5503	375	1	j.	j.	PROPN
ejpam-5503	375	2	pure	pure	PROPN
ejpam-5503	375	3	appl	appl	PROPN
ejpam-5503	375	4	.	.	PROPN
ejpam-5503	375	5	math	math	PROPN
ejpam-5503	375	6	,	,	PUNCT
ejpam-5503	375	7	18	18	NUM
ejpam-5503	375	8	(	(	PUNCT
ejpam-5503	375	9	1	1	NUM
ejpam-5503	375	10	)	)	PUNCT
ejpam-5503	375	11	(	(	PUNCT
ejpam-5503	375	12	2025	2025	NUM
ejpam-5503	375	13	)	)	PUNCT
ejpam-5503	375	14	,	,	PUNCT
ejpam-5503	375	15	5503	5503	NUM
ejpam-5503	375	16	11	11	NUM
ejpam-5503	375	17	of	of	ADP
ejpam-5503	375	18	16	16	NUM
ejpam-5503	375	19	(	(	PUNCT
ejpam-5503	375	20	i	i	NOUN
ejpam-5503	375	21	)	)	PUNCT
ejpam-5503	375	22	the	the	DET
ejpam-5503	375	23	operators	operator	NOUN
ejpam-5503	375	24	taγ	taγ	VERB
ejpam-5503	375	25	,	,	PUNCT
ejpam-5503	375	26	bγ	bγ	PROPN
ejpam-5503	375	27	and	and	CCONJ
ejpam-5503	375	28	tbγ	tbγ	NOUN
ejpam-5503	375	29	,	,	PUNCT
ejpam-5503	375	30	aγ	aγ	PRON
ejpam-5503	375	31	are	be	AUX
ejpam-5503	375	32	affine	affine	ADJ
ejpam-5503	375	33	.	.	PUNCT
ejpam-5503	376	1	(	(	PUNCT
ejpam-5503	376	2	ii	ii	X
ejpam-5503	376	3	)	)	PUNCT
ejpam-5503	376	4	the	the	DET
ejpam-5503	376	5	equation	equation	NOUN
ejpam-5503	376	6	taγ	taγ	NOUN
ejpam-5503	376	7	,	,	PUNCT
ejpam-5503	376	8	bγ	bγ	PROPN
ejpam-5503	376	9	rbγ	rbγ	NOUN
ejpam-5503	377	1	raγ	raγ	NOUN
ejpam-5503	377	2	=	=	PUNCT
ejpam-5503	378	1	rbγ	rbγ	NOUN
ejpam-5503	378	2	raγ	raγ	NOUN
ejpam-5503	378	3	taγ	taγ	NOUN
ejpam-5503	378	4	,	,	PUNCT
ejpam-5503	378	5	bγ	bγ	PROPN
ejpam-5503	378	6	is	be	AUX
ejpam-5503	378	7	satisfied	satisfied	ADJ
ejpam-5503	378	8	.	.	PUNCT
ejpam-5503	379	1	(	(	PUNCT
ejpam-5503	379	2	iii	iii	X
ejpam-5503	379	3	)	)	PUNCT
ejpam-5503	379	4	we	we	PRON
ejpam-5503	379	5	have	have	VERB
ejpam-5503	379	6	λ−2(taγ	λ−2(taγ	NOUN
ejpam-5503	379	7	,	,	PUNCT
ejpam-5503	379	8	bγ	bγ	PROPN
ejpam-5503	379	9	tbγ	tbγ	NOUN
ejpam-5503	379	10	,	,	PUNCT
ejpam-5503	379	11	aγ	aγ	PRON
ejpam-5503	379	12	−	−	PROPN
ejpam-5503	379	13	tbγ	tbγ	NOUN
ejpam-5503	379	14	,	,	PUNCT
ejpam-5503	379	15	aγ	aγ	PRON
ejpam-5503	379	16	taγ	taγ	NOUN
ejpam-5503	379	17	,	,	PUNCT
ejpam-5503	379	18	bγ	bγ	ADV
ejpam-5503	379	19	)	)	PUNCT
ejpam-5503	379	20	=	=	PUNCT
ejpam-5503	379	21	rbγ	rbγ	NOUN
ejpam-5503	379	22	r2	r2	PROPN
ejpam-5503	379	23	aγ	aγ	ADV
ejpam-5503	379	24	rbγ	rbγ	NOUN
ejpam-5503	380	1	−	−	PROPN
ejpam-5503	380	2	raγ	raγ	NOUN
ejpam-5503	380	3	r2	r2	NOUN
ejpam-5503	381	1	bγ	bγ	INTJ
ejpam-5503	381	2	raγ	raγ	INTJ
ejpam-5503	381	3	.	.	PUNCT
ejpam-5503	382	1	(	(	PUNCT
ejpam-5503	382	2	iv	iv	X
ejpam-5503	382	3	)	)	PUNCT
ejpam-5503	382	4	the	the	DET
ejpam-5503	382	5	equality	equality	NOUN
ejpam-5503	382	6	taγ	taγ	NOUN
ejpam-5503	382	7	,	,	PUNCT
ejpam-5503	382	8	bγ	bγ	PROPN
ejpam-5503	382	9	tbγ	tbγ	NOUN
ejpam-5503	382	10	,	,	PUNCT
ejpam-5503	382	11	aγ	aγ	PROPN
ejpam-5503	382	12	=	=	PUNCT
ejpam-5503	382	13	tbγ	tbγ	NOUN
ejpam-5503	382	14	,	,	PUNCT
ejpam-5503	382	15	aγ	aγ	PRON
ejpam-5503	382	16	taγ	taγ	NOUN
ejpam-5503	382	17	,	,	PUNCT
ejpam-5503	382	18	bγ	bγ	PRON
ejpam-5503	382	19	holds	hold	VERB
ejpam-5503	382	20	if	if	SCONJ
ejpam-5503	382	21	and	and	CCONJ
ejpam-5503	382	22	only	only	ADV
ejpam-5503	382	23	if	if	SCONJ
ejpam-5503	382	24	rbγ	rbγ	NOUN
ejpam-5503	382	25	r2	r2	PROPN
ejpam-5503	382	26	aγ	aγ	ADV
ejpam-5503	382	27	rbγ	rbγ	NOUN
ejpam-5503	383	1	=	=	SYM
ejpam-5503	384	1	raγ	raγ	NOUN
ejpam-5503	384	2	r2	r2	PROPN
ejpam-5503	384	3	bγ	bγ	INTJ
ejpam-5503	384	4	raγ	raγ	INTJ
ejpam-5503	384	5	.	.	PUNCT
ejpam-5503	385	1	(	(	PUNCT
ejpam-5503	385	2	v	v	NOUN
ejpam-5503	385	3	)	)	PUNCT
ejpam-5503	385	4	if	if	SCONJ
ejpam-5503	385	5	r2	r2	NOUN
ejpam-5503	385	6	aγ	aγ	NOUN
ejpam-5503	385	7	=	=	SYM
ejpam-5503	385	8	r2	r2	PROPN
ejpam-5503	385	9	bγ	bγ	ADV
ejpam-5503	385	10	,	,	PUNCT
ejpam-5503	385	11	then	then	ADV
ejpam-5503	385	12	it	it	PRON
ejpam-5503	385	13	follows	follow	VERB
ejpam-5503	385	14	that	that	DET
ejpam-5503	385	15	taγ	taγ	NOUN
ejpam-5503	385	16	,	,	PUNCT
ejpam-5503	385	17	bγ	bγ	PROPN
ejpam-5503	385	18	tbγ	tbγ	NOUN
ejpam-5503	385	19	,	,	PUNCT
ejpam-5503	385	20	aγ	aγ	PROPN
ejpam-5503	385	21	=	=	PUNCT
ejpam-5503	385	22	tbγ	tbγ	NOUN
ejpam-5503	385	23	,	,	PUNCT
ejpam-5503	385	24	aγ	aγ	PRON
ejpam-5503	385	25	taγ	taγ	NOUN
ejpam-5503	385	26	,	,	PUNCT
ejpam-5503	385	27	bγ	bγ	PRON
ejpam-5503	385	28	.	.	PUNCT
ejpam-5503	386	1	proof	proof	NOUN
ejpam-5503	386	2	.	.	PUNCT
ejpam-5503	387	1	(	(	PUNCT
ejpam-5503	387	2	i	i	NOUN
ejpam-5503	387	3	):	):	PUNCT
ejpam-5503	387	4	clear	clear	ADJ
ejpam-5503	387	5	.	.	PUNCT
ejpam-5503	388	1	(	(	PUNCT
ejpam-5503	388	2	ii	ii	NOUN
ejpam-5503	388	3	):	):	PUNCT
ejpam-5503	388	4	from	from	ADP
ejpam-5503	388	5	(	(	PUNCT
ejpam-5503	388	6	i	i	NOUN
ejpam-5503	388	7	)	)	PUNCT
ejpam-5503	388	8	,	,	PUNCT
ejpam-5503	388	9	we	we	PRON
ejpam-5503	388	10	conclude	conclude	VERB
ejpam-5503	388	11	that	that	PRON
ejpam-5503	388	12	:	:	PUNCT
ejpam-5503	388	13	taγ	taγ	NOUN
ejpam-5503	388	14	,	,	PUNCT
ejpam-5503	388	15	bγ	bγ	PROPN
ejpam-5503	388	16	rbγ	rbγ	NOUN
ejpam-5503	388	17	raγ	raγ	NOUN
ejpam-5503	388	18	=	=	NOUN
ejpam-5503	388	19	taγ	taγ	NOUN
ejpam-5503	388	20	,	,	PUNCT
ejpam-5503	388	21	bγ	bγ	PRON
ejpam-5503	388	22	(	(	PUNCT
ejpam-5503	388	23	λ−1taγ	λ−1taγ	PROPN
ejpam-5503	388	24	,	,	PUNCT
ejpam-5503	388	25	bγ	bγ	ADV
ejpam-5503	388	26	−	−	PROPN
ejpam-5503	388	27	λ−1(1	λ−1(1	PUNCT
ejpam-5503	388	28	−	−	PROPN
ejpam-5503	388	29	λ	λ	PROPN
ejpam-5503	388	30	)	)	PUNCT
ejpam-5503	388	31	i	i	PROPN
ejpam-5503	388	32	d	d	NOUN
ejpam-5503	388	33	)	)	PUNCT
ejpam-5503	389	1	=	=	PUNCT
ejpam-5503	389	2	λ−1t2	λ−1t2	NOUN
ejpam-5503	389	3	(	(	PUNCT
ejpam-5503	389	4	aγ	aγ	NOUN
ejpam-5503	389	5	,	,	PUNCT
ejpam-5503	389	6	bγ	bγ	NOUN
ejpam-5503	389	7	)	)	PUNCT
ejpam-5503	389	8	−	−	PROPN
ejpam-5503	389	9	λ−1(1	λ−1(1	PUNCT
ejpam-5503	389	10	−	−	PROPN
ejpam-5503	389	11	λ)taγ	λ)taγ	PROPN
ejpam-5503	389	12	,	,	PUNCT
ejpam-5503	389	13	bγ	bγ	NOUN
ejpam-5503	389	14	=	=	PUNCT
ejpam-5503	389	15	(	(	PUNCT
ejpam-5503	389	16	λ−1taγ	λ−1taγ	ADP
ejpam-5503	389	17	,	,	PUNCT
ejpam-5503	389	18	bγ	bγ	ADV
ejpam-5503	389	19	−	−	PROPN
ejpam-5503	389	20	λ−1(1	λ−1(1	PUNCT
ejpam-5503	389	21	−	−	PROPN
ejpam-5503	389	22	λ	λ	PROPN
ejpam-5503	389	23	)	)	PUNCT
ejpam-5503	389	24	i	i	PROPN
ejpam-5503	389	25	d	d	PROPN
ejpam-5503	389	26	)	)	PUNCT
ejpam-5503	389	27	taγ	taγ	NOUN
ejpam-5503	389	28	,	,	PUNCT
ejpam-5503	389	29	bγ	bγ	NOUN
ejpam-5503	389	30	=	=	PUNCT
ejpam-5503	389	31	rbγ	rbγ	NOUN
ejpam-5503	390	1	raγ	raγ	NOUN
ejpam-5503	390	2	taγ	taγ	NOUN
ejpam-5503	390	3	,	,	PUNCT
ejpam-5503	390	4	bγ	bγ	INTJ
ejpam-5503	390	5	.	.	PUNCT
ejpam-5503	391	1	(	(	PUNCT
ejpam-5503	391	2	iii	iii	NOUN
ejpam-5503	391	3	):	):	PUNCT
ejpam-5503	391	4	utilizing	utilizing	NOUN
ejpam-5503	391	5	(	(	PUNCT
ejpam-5503	391	6	8)	8)	NUM
ejpam-5503	391	7	,	,	PUNCT
ejpam-5503	391	8	we	we	PRON
ejpam-5503	391	9	find	find	VERB
ejpam-5503	391	10	that	that	SCONJ
ejpam-5503	391	11	:	:	PUNCT
ejpam-5503	391	12	λ−2(taγ	λ−2(taγ	ADV
ejpam-5503	391	13	,	,	PUNCT
ejpam-5503	391	14	bγ	bγ	PROPN
ejpam-5503	391	15	tbγ	tbγ	NOUN
ejpam-5503	391	16	,	,	PUNCT
ejpam-5503	391	17	aγ	aγ	NOUN
ejpam-5503	391	18	)	)	PUNCT
ejpam-5503	391	19	=	=	SYM
ejpam-5503	392	1	λ−2((1	λ−2((1	NUM
ejpam-5503	392	2	−	−	PROPN
ejpam-5503	393	1	λ	λ	NOUN
ejpam-5503	393	2	)	)	PUNCT
ejpam-5503	393	3	id+λrbγ	id+λrbγ	ADJ
ejpam-5503	393	4	raγ	raγ	NOUN
ejpam-5503	393	5	)	)	PUNCT
ejpam-5503	393	6	(	(	PUNCT
ejpam-5503	393	7	(	(	PUNCT
ejpam-5503	393	8	1	1	NUM
ejpam-5503	393	9	−	−	PROPN
ejpam-5503	393	10	λ	λ	NOUN
ejpam-5503	393	11	)	)	PUNCT
ejpam-5503	393	12	id+λraγ	id+λraγ	PROPN
ejpam-5503	393	13	rbγ	rbγ	NOUN
ejpam-5503	393	14	)	)	PUNCT
ejpam-5503	393	15	hence	hence	ADV
ejpam-5503	393	16	,	,	PUNCT
ejpam-5503	393	17	λ−2(taγ	λ−2(taγ	ADV
ejpam-5503	393	18	,	,	PUNCT
ejpam-5503	393	19	bγ	bγ	PROPN
ejpam-5503	393	20	tbγ	tbγ	NOUN
ejpam-5503	393	21	,	,	PUNCT
ejpam-5503	393	22	aγ	aγ	NOUN
ejpam-5503	393	23	)	)	PUNCT
ejpam-5503	394	1	=	=	SYM
ejpam-5503	395	1	λ−2((1	λ−2((1	NUM
ejpam-5503	395	2	−	−	PROPN
ejpam-5503	395	3	λ)2	λ)2	NOUN
ejpam-5503	395	4	id+λ(1	id+λ(1	NOUN
ejpam-5503	395	5	−	−	PROPN
ejpam-5503	396	1	λ)raγ	λ)raγ	INTJ
ejpam-5503	396	2	rbγ	rbγ	NOUN
ejpam-5503	397	1	+	+	CCONJ
ejpam-5503	397	2	λ(1	λ(1	PROPN
ejpam-5503	397	3	−	−	PROPN
ejpam-5503	397	4	λ)rbγ	λ)rbγ	ADJ
ejpam-5503	397	5	raγ	raγ	NOUN
ejpam-5503	397	6	+	+	CCONJ
ejpam-5503	397	7	λ2rbγ	λ2rbγ	ADJ
ejpam-5503	397	8	r2	r2	PROPN
ejpam-5503	397	9	aγ	aγ	NOUN
ejpam-5503	397	10	rbγ	rbγ	NOUN
ejpam-5503	397	11	)	)	PUNCT
ejpam-5503	397	12	.	.	PUNCT
ejpam-5503	398	1	(	(	PUNCT
ejpam-5503	398	2	35	35	NUM
ejpam-5503	398	3	)	)	PUNCT
ejpam-5503	398	4	moreover	moreover	ADV
ejpam-5503	398	5	,	,	PUNCT
ejpam-5503	398	6	λ−2(tbγ	λ−2(tbγ	PRON
ejpam-5503	398	7	,	,	PUNCT
ejpam-5503	398	8	aγ	aγ	PRON
ejpam-5503	398	9	taγ	taγ	NOUN
ejpam-5503	398	10	,	,	PUNCT
ejpam-5503	398	11	bγ	bγ	ADV
ejpam-5503	398	12	)	)	PUNCT
ejpam-5503	399	1	=	=	PUNCT
ejpam-5503	400	1	λ−2((1	λ−2((1	NUM
ejpam-5503	400	2	−	−	PROPN
ejpam-5503	401	1	λ	λ	NOUN
ejpam-5503	401	2	)	)	PUNCT
ejpam-5503	401	3	id+λraγ	id+λraγ	PROPN
ejpam-5503	401	4	rbγ	rbγ	NOUN
ejpam-5503	401	5	)	)	PUNCT
ejpam-5503	401	6	(	(	PUNCT
ejpam-5503	401	7	(	(	PUNCT
ejpam-5503	401	8	1	1	NUM
ejpam-5503	401	9	−	−	PROPN
ejpam-5503	401	10	λ	λ	NOUN
ejpam-5503	401	11	)	)	PUNCT
ejpam-5503	401	12	id+λrbγ	id+λrbγ	ADJ
ejpam-5503	401	13	raγ	raγ	NOUN
ejpam-5503	401	14	)	)	PUNCT
ejpam-5503	401	15	hence	hence	ADV
ejpam-5503	401	16	,	,	PUNCT
ejpam-5503	401	17	λ−2(tbγ	λ−2(tbγ	PRON
ejpam-5503	401	18	,	,	PUNCT
ejpam-5503	401	19	aγ	aγ	PRON
ejpam-5503	401	20	taγ	taγ	NOUN
ejpam-5503	401	21	,	,	PUNCT
ejpam-5503	401	22	bγ	bγ	ADV
ejpam-5503	401	23	)	)	PUNCT
ejpam-5503	402	1	=	=	SYM
ejpam-5503	403	1	λ−2((1	λ−2((1	NUM
ejpam-5503	404	1	−	−	PROPN
ejpam-5503	404	2	λ)2	λ)2	NOUN
ejpam-5503	404	3	id+λ(1	id+λ(1	NOUN
ejpam-5503	404	4	−	−	PROPN
ejpam-5503	404	5	λ)rbγ	λ)rbγ	ADJ
ejpam-5503	404	6	raγ	raγ	NOUN
ejpam-5503	405	1	+	+	CCONJ
ejpam-5503	405	2	λ(1	λ(1	PROPN
ejpam-5503	405	3	−	−	PROPN
ejpam-5503	405	4	λ)raγ	λ)raγ	PROPN
ejpam-5503	405	5	rbγ	rbγ	NOUN
ejpam-5503	406	1	+	+	CCONJ
ejpam-5503	406	2	λ2raγ	λ2raγ	PROPN
ejpam-5503	406	3	r2	r2	NOUN
ejpam-5503	406	4	bγ	bγ	INTJ
ejpam-5503	406	5	raγ	raγ	NOUN
ejpam-5503	406	6	)	)	PUNCT
ejpam-5503	406	7	.	.	PUNCT
ejpam-5503	407	1	(	(	PUNCT
ejpam-5503	407	2	36	36	X
ejpam-5503	407	3	)	)	PUNCT
ejpam-5503	407	4	taking	take	VERB
ejpam-5503	407	5	the	the	DET
ejpam-5503	407	6	difference	difference	NOUN
ejpam-5503	407	7	of	of	ADP
ejpam-5503	407	8	(	(	PUNCT
ejpam-5503	407	9	35	35	NUM
ejpam-5503	407	10	)	)	PUNCT
ejpam-5503	407	11	and	and	CCONJ
ejpam-5503	407	12	(	(	PUNCT
ejpam-5503	407	13	36	36	NUM
ejpam-5503	407	14	)	)	PUNCT
ejpam-5503	407	15	yields	yield	NOUN
ejpam-5503	407	16	:	:	PUNCT
ejpam-5503	407	17	λ−2(taγ	λ−2(taγ	ADV
ejpam-5503	407	18	,	,	PUNCT
ejpam-5503	407	19	bγ	bγ	PROPN
ejpam-5503	407	20	tbγ	tbγ	NOUN
ejpam-5503	407	21	,	,	PUNCT
ejpam-5503	407	22	aγ	aγ	PRON
ejpam-5503	407	23	−	−	PROPN
ejpam-5503	407	24	tbγ	tbγ	NOUN
ejpam-5503	407	25	,	,	PUNCT
ejpam-5503	407	26	aγ	aγ	PRON
ejpam-5503	407	27	taγ	taγ	NOUN
ejpam-5503	407	28	,	,	PUNCT
ejpam-5503	407	29	bγ	bγ	ADV
ejpam-5503	407	30	)	)	PUNCT
ejpam-5503	408	1	=	=	PUNCT
ejpam-5503	408	2	rbγ	rbγ	NOUN
ejpam-5503	408	3	r2	r2	PROPN
ejpam-5503	408	4	aγ	aγ	ADV
ejpam-5503	408	5	rbγ	rbγ	NOUN
ejpam-5503	409	1	−	−	PROPN
ejpam-5503	409	2	raγ	raγ	NOUN
ejpam-5503	409	3	r2	r2	NOUN
ejpam-5503	410	1	bγ	bγ	INTJ
ejpam-5503	410	2	raγ	raγ	INTJ
ejpam-5503	410	3	.	.	PUNCT
ejpam-5503	411	1	(	(	PUNCT
ejpam-5503	411	2	iv	iv	X
ejpam-5503	411	3	)	)	PUNCT
ejpam-5503	411	4	and	and	CCONJ
ejpam-5503	411	5	(	(	PUNCT
ejpam-5503	411	6	v	v	NOUN
ejpam-5503	411	7	):	):	PUNCT
ejpam-5503	411	8	they	they	PRON
ejpam-5503	411	9	are	be	AUX
ejpam-5503	411	10	derived	derive	VERB
ejpam-5503	411	11	from	from	ADP
ejpam-5503	411	12	(	(	PUNCT
ejpam-5503	411	13	iii	iii	NOUN
ejpam-5503	411	14	)	)	PUNCT
ejpam-5503	411	15	.	.	PUNCT
ejpam-5503	412	1	■	■	PUNCT
ejpam-5503	412	2	s.	s.	PROPN
ejpam-5503	412	3	th	th	PROPN
ejpam-5503	412	4	.	.	PUNCT
ejpam-5503	412	5	alwadani	alwadani	PROPN
ejpam-5503	412	6	/	/	SYM
ejpam-5503	412	7	eur	eur	PROPN
ejpam-5503	412	8	.	.	PUNCT
ejpam-5503	413	1	j.	j.	PROPN
ejpam-5503	413	2	pure	pure	PROPN
ejpam-5503	413	3	appl	appl	PROPN
ejpam-5503	413	4	.	.	PROPN
ejpam-5503	413	5	math	math	PROPN
ejpam-5503	413	6	,	,	PUNCT
ejpam-5503	413	7	18	18	NUM
ejpam-5503	413	8	(	(	PUNCT
ejpam-5503	413	9	1	1	NUM
ejpam-5503	413	10	)	)	PUNCT
ejpam-5503	413	11	(	(	PUNCT
ejpam-5503	413	12	2025	2025	NUM
ejpam-5503	413	13	)	)	PUNCT
ejpam-5503	413	14	,	,	PUNCT
ejpam-5503	413	15	5503	5503	NUM
ejpam-5503	413	16	12	12	NUM
ejpam-5503	413	17	of	of	ADP
ejpam-5503	413	18	16	16	NUM
ejpam-5503	413	19	proposition	proposition	NOUN
ejpam-5503	413	20	2	2	NUM
ejpam-5503	413	21	.	.	PUNCT
ejpam-5503	414	1	let	let	VERB
ejpam-5503	414	2	u	u	PRON
ejpam-5503	414	3	be	be	AUX
ejpam-5503	414	4	a	a	DET
ejpam-5503	414	5	closed	closed	ADJ
ejpam-5503	414	6	linear	linear	ADJ
ejpam-5503	414	7	subspace	subspace	NOUN
ejpam-5503	414	8	,	,	PUNCT
ejpam-5503	414	9	and	and	CCONJ
ejpam-5503	414	10	define	define	VERB
ejpam-5503	414	11	a	a	DET
ejpam-5503	414	12	=	=	SYM
ejpam-5503	414	13	id+v	id+v	NOUN
ejpam-5503	414	14	with	with	ADP
ejpam-5503	414	15	v	v	PROPN
ejpam-5503	414	16	∈	∈	PROPN
ejpam-5503	414	17	u⊥.	u⊥.	NOUN
ejpam-5503	414	18	furthermore	furthermore	ADV
ejpam-5503	414	19	,	,	PUNCT
ejpam-5503	414	20	let	let	VERB
ejpam-5503	414	21	b	b	NOUN
ejpam-5503	414	22	=	=	SYM
ejpam-5503	414	23	pa+u	pa+u	PROPN
ejpam-5503	414	24	,	,	PUNCT
ejpam-5503	414	25	where	where	SCONJ
ejpam-5503	414	26	a	a	DET
ejpam-5503	414	27	∈	∈	ADJ
ejpam-5503	414	28	u⊥	u⊥	PROPN
ejpam-5503	414	29	and	and	CCONJ
ejpam-5503	414	30	a	a	DET
ejpam-5503	414	31	̸=	̸=	PROPN
ejpam-5503	414	32	v.	v.	ADP
ejpam-5503	414	33	the	the	DET
ejpam-5503	414	34	following	follow	VERB
ejpam-5503	414	35	statements	statement	NOUN
ejpam-5503	414	36	are	be	AUX
ejpam-5503	414	37	true	true	ADJ
ejpam-5503	414	38	:	:	PUNCT
ejpam-5503	414	39	(	(	PUNCT
ejpam-5503	414	40	i	i	NOUN
ejpam-5503	414	41	)	)	PUNCT
ejpam-5503	414	42	we	we	PRON
ejpam-5503	414	43	have	have	AUX
ejpam-5503	414	44	taγ	taγ	NOUN
ejpam-5503	414	45	,	,	PUNCT
ejpam-5503	414	46	bγ	bγ	PROPN
ejpam-5503	414	47	(	(	PUNCT
ejpam-5503	414	48	x	x	X
ejpam-5503	414	49	)	)	PUNCT
ejpam-5503	414	50	=	=	SYM
ejpam-5503	415	1	(	(	PUNCT
ejpam-5503	415	2	1	1	NUM
ejpam-5503	415	3	−	−	NOUN
ejpam-5503	415	4	λγ(3	λγ(3	X
ejpam-5503	415	5	−	−	PROPN
ejpam-5503	415	6	2γ	2γ	NOUN
ejpam-5503	415	7	)	)	PUNCT
ejpam-5503	415	8	)	)	PUNCT
ejpam-5503	416	1	x	x	PUNCT
ejpam-5503	417	1	+	+	PUNCT
ejpam-5503	418	1	λγ(1	λγ(1	DET
ejpam-5503	418	2	−	−	X
ejpam-5503	418	3	γ)pu	γ)pu	PROPN
ejpam-5503	418	4	x	x	PUNCT
ejpam-5503	419	1	+	+	CCONJ
ejpam-5503	420	1	k	k	X
ejpam-5503	420	2	,	,	PUNCT
ejpam-5503	420	3	where	where	SCONJ
ejpam-5503	420	4	k	k	PROPN
ejpam-5503	420	5	=	=	X
ejpam-5503	420	6	λγ	λγ	PROPN
ejpam-5503	420	7	(	(	PUNCT
ejpam-5503	420	8	(	(	PUNCT
ejpam-5503	420	9	2γ	2γ	NUM
ejpam-5503	420	10	−	−	PROPN
ejpam-5503	420	11	1)v	1)v	NUM
ejpam-5503	420	12	+	+	NUM
ejpam-5503	420	13	4(1	4(1	NUM
ejpam-5503	420	14	−	−	NOUN
ejpam-5503	420	15	γ)w	γ)w	PUNCT
ejpam-5503	420	16	−	−	PROPN
ejpam-5503	420	17	2(1	2(1	NUM
ejpam-5503	420	18	−	−	PUNCT
ejpam-5503	421	1	γ)pu	γ)pu	PROPN
ejpam-5503	421	2	w	w	ADP
ejpam-5503	421	3	−	−	PROPN
ejpam-5503	421	4	2a	2a	NUM
ejpam-5503	421	5	)	)	PUNCT
ejpam-5503	421	6	.	.	PUNCT
ejpam-5503	422	1	(	(	PUNCT
ejpam-5503	422	2	ii	ii	X
ejpam-5503	422	3	)	)	PUNCT
ejpam-5503	422	4	we	we	PRON
ejpam-5503	422	5	have	have	VERB
ejpam-5503	422	6	tbγ	tbγ	NOUN
ejpam-5503	422	7	,	,	PUNCT
ejpam-5503	422	8	aγ	aγ	PRON
ejpam-5503	422	9	(	(	PUNCT
ejpam-5503	422	10	x	x	NOUN
ejpam-5503	422	11	)	)	PUNCT
ejpam-5503	422	12	=	=	SYM
ejpam-5503	422	13	(	(	PUNCT
ejpam-5503	423	1	1	1	NUM
ejpam-5503	423	2	−	−	NOUN
ejpam-5503	423	3	λγ(3	λγ(3	X
ejpam-5503	423	4	−	−	PROPN
ejpam-5503	423	5	2γ	2γ	NOUN
ejpam-5503	423	6	)	)	PUNCT
ejpam-5503	423	7	)	)	PUNCT
ejpam-5503	424	1	x	x	PUNCT
ejpam-5503	425	1	+	+	PUNCT
ejpam-5503	426	1	λγ(1	λγ(1	DET
ejpam-5503	426	2	−	−	X
ejpam-5503	426	3	γ)pu	γ)pu	PROPN
ejpam-5503	426	4	x	x	PUNCT
ejpam-5503	427	1	+	+	PUNCT
ejpam-5503	428	1	l	l	NOUN
ejpam-5503	428	2	,	,	PUNCT
ejpam-5503	428	3	where	where	SCONJ
ejpam-5503	428	4	l	l	NOUN
ejpam-5503	428	5	=	=	X
ejpam-5503	428	6	λγ	λγ	PROPN
ejpam-5503	428	7	(	(	PUNCT
ejpam-5503	428	8	2(1	2(1	NUM
ejpam-5503	428	9	−	−	NOUN
ejpam-5503	428	10	γ)a	γ)a	PUNCT
ejpam-5503	429	1	+	+	CCONJ
ejpam-5503	430	1	v	v	ADP
ejpam-5503	430	2	+	+	NUM
ejpam-5503	430	3	2(1	2(1	NUM
ejpam-5503	430	4	−	−	NOUN
ejpam-5503	430	5	γ)w	γ)w	PUNCT
ejpam-5503	430	6	)	)	PUNCT
ejpam-5503	430	7	.	.	PUNCT
ejpam-5503	431	1	(	(	PUNCT
ejpam-5503	431	2	iii	iii	X
ejpam-5503	431	3	)	)	PUNCT
ejpam-5503	431	4	we	we	PRON
ejpam-5503	431	5	have	have	VERB
ejpam-5503	431	6	raγ	raγ	NOUN
ejpam-5503	431	7	taγ	taγ	NOUN
ejpam-5503	431	8	,	,	PUNCT
ejpam-5503	431	9	bγ	bγ	PROPN
ejpam-5503	431	10	(	(	PUNCT
ejpam-5503	431	11	x	x	X
ejpam-5503	431	12	)	)	PUNCT
ejpam-5503	431	13	=	=	SYM
ejpam-5503	431	14	tbγ	tbγ	NOUN
ejpam-5503	431	15	,	,	PUNCT
ejpam-5503	431	16	aγ	aγ	PRON
ejpam-5503	431	17	raγ	raγ	NOUN
ejpam-5503	431	18	(	(	PUNCT
ejpam-5503	431	19	x	x	NOUN
ejpam-5503	431	20	)	)	PUNCT
ejpam-5503	431	21	=	=	SYM
ejpam-5503	432	1	(	(	PUNCT
ejpam-5503	432	2	1	1	NUM
ejpam-5503	432	3	−	−	PROPN
ejpam-5503	432	4	γ	γ	NOUN
ejpam-5503	432	5	)	)	PUNCT
ejpam-5503	432	6	(	(	PUNCT
ejpam-5503	432	7	(	(	PUNCT
ejpam-5503	432	8	λγ	λγ	X
ejpam-5503	432	9	(	(	PUNCT
ejpam-5503	432	10	3	3	NUM
ejpam-5503	432	11	−	−	PROPN
ejpam-5503	432	12	2γ	2γ	NOUN
ejpam-5503	432	13	)	)	PUNCT
ejpam-5503	433	1	−	−	ADP
ejpam-5503	433	2	1	1	NUM
ejpam-5503	433	3	)	)	PUNCT
ejpam-5503	433	4	x	x	PUNCT
ejpam-5503	433	5	−	−	PROPN
ejpam-5503	433	6	λγ	λγ	NOUN
ejpam-5503	433	7	(	(	PUNCT
ejpam-5503	433	8	1	1	NUM
ejpam-5503	433	9	−	−	PROPN
ejpam-5503	433	10	γ	γ	X
ejpam-5503	433	11	)	)	PUNCT
ejpam-5503	433	12	pu	pu	PROPN
ejpam-5503	433	13	x	x	PUNCT
ejpam-5503	433	14	)	)	PUNCT
ejpam-5503	434	1	+	+	CCONJ
ejpam-5503	435	1	h	h	NOUN
ejpam-5503	435	2	,	,	PUNCT
ejpam-5503	435	3	where	where	SCONJ
ejpam-5503	435	4	h	h	NOUN
ejpam-5503	435	5	=	=	SYM
ejpam-5503	435	6	γ	γ	X
ejpam-5503	435	7	[	[	PUNCT
ejpam-5503	435	8	λγ	λγ	NOUN
ejpam-5503	435	9	(	(	PUNCT
ejpam-5503	435	10	2γ	2γ	NUM
ejpam-5503	435	11	−	−	PROPN
ejpam-5503	435	12	3	3	NUM
ejpam-5503	435	13	)	)	PUNCT
ejpam-5503	435	14	+	+	CCONJ
ejpam-5503	435	15	1	1	NUM
ejpam-5503	435	16	+	+	NUM
ejpam-5503	435	17	λ	λ	X
ejpam-5503	435	18	]	]	X
ejpam-5503	435	19	v	v	X
ejpam-5503	435	20	+	+	CCONJ
ejpam-5503	435	21	2	2	NUM
ejpam-5503	435	22	(	(	PUNCT
ejpam-5503	435	23	1	1	NUM
ejpam-5503	435	24	−	−	PROPN
ejpam-5503	435	25	γ	γ	NOUN
ejpam-5503	435	26	)	)	PUNCT
ejpam-5503	436	1	[	[	X
ejpam-5503	436	2	(	(	PUNCT
ejpam-5503	436	3	1	1	NUM
ejpam-5503	436	4	−	−	NOUN
ejpam-5503	436	5	2λγ	2λγ	NOUN
ejpam-5503	436	6	(	(	PUNCT
ejpam-5503	436	7	1	1	NUM
ejpam-5503	436	8	−	−	PROPN
ejpam-5503	436	9	γ	γ	NOUN
ejpam-5503	436	10	)	)	PUNCT
ejpam-5503	436	11	)	)	PUNCT
ejpam-5503	437	1	w	w	PROPN
ejpam-5503	438	1	+	+	NUM
ejpam-5503	438	2	λγ	λγ	X
ejpam-5503	438	3	(	(	PUNCT
ejpam-5503	438	4	1	1	NUM
ejpam-5503	438	5	−	−	PROPN
ejpam-5503	438	6	γ	γ	X
ejpam-5503	438	7	)	)	PUNCT
ejpam-5503	438	8	pu	pu	PROPN
ejpam-5503	438	9	w	w	PROPN
ejpam-5503	438	10	]	]	X
ejpam-5503	438	11	+	+	NUM
ejpam-5503	438	12	2λγ	2λγ	ADJ
ejpam-5503	438	13	(	(	PUNCT
ejpam-5503	438	14	1	1	NUM
ejpam-5503	438	15	−	−	PROPN
ejpam-5503	438	16	γ	γ	PROPN
ejpam-5503	438	17	)	)	PUNCT
ejpam-5503	438	18	a.	a.	NOUN
ejpam-5503	438	19	(	(	PUNCT
ejpam-5503	438	20	iv	iv	X
ejpam-5503	438	21	)	)	PUNCT
ejpam-5503	438	22	we	we	PRON
ejpam-5503	438	23	have	have	VERB
ejpam-5503	438	24	rbγ	rbγ	NOUN
ejpam-5503	438	25	taγ	taγ	NOUN
ejpam-5503	438	26	,	,	PUNCT
ejpam-5503	438	27	bγ	bγ	PROPN
ejpam-5503	438	28	=	=	PUNCT
ejpam-5503	438	29	(	(	PUNCT
ejpam-5503	438	30	1	1	NUM
ejpam-5503	438	31	−	−	PROPN
ejpam-5503	438	32	2γ	2γ	NOUN
ejpam-5503	438	33	)	)	PUNCT
ejpam-5503	438	34	(	(	PUNCT
ejpam-5503	438	35	(	(	PUNCT
ejpam-5503	438	36	λγ(3	λγ(3	X
ejpam-5503	438	37	−	−	PROPN
ejpam-5503	438	38	2γ)−	2γ)−	NUM
ejpam-5503	438	39	1	1	NUM
ejpam-5503	438	40	)	)	PUNCT
ejpam-5503	438	41	x	x	PUNCT
ejpam-5503	438	42	−	−	PROPN
ejpam-5503	439	1	λγ(1	λγ(1	DET
ejpam-5503	439	2	−	−	X
ejpam-5503	439	3	γ)pu	γ)pu	PROPN
ejpam-5503	439	4	x	x	PUNCT
ejpam-5503	439	5	)	)	PUNCT
ejpam-5503	440	1	+	+	CCONJ
ejpam-5503	440	2	m	m	PROPN
ejpam-5503	440	3	,	,	PUNCT
ejpam-5503	440	4	where	where	SCONJ
ejpam-5503	440	5	m	m	VERB
ejpam-5503	440	6	=	=	PUNCT
ejpam-5503	440	7	(	(	PUNCT
ejpam-5503	440	8	1	1	NUM
ejpam-5503	440	9	−	−	PROPN
ejpam-5503	440	10	2γ	2γ	NOUN
ejpam-5503	440	11	)	)	PUNCT
ejpam-5503	440	12	λγ	λγ	X
ejpam-5503	441	1	[	[	X
ejpam-5503	441	2	(	(	PUNCT
ejpam-5503	441	3	1	1	NUM
ejpam-5503	441	4	−	−	NOUN
ejpam-5503	441	5	2γ	2γ	NOUN
ejpam-5503	441	6	)	)	PUNCT
ejpam-5503	441	7	v	v	ADP
ejpam-5503	441	8	+	+	NUM
ejpam-5503	441	9	2	2	NUM
ejpam-5503	441	10	(	(	PUNCT
ejpam-5503	441	11	1	1	NUM
ejpam-5503	441	12	−	−	PROPN
ejpam-5503	441	13	γ	γ	X
ejpam-5503	441	14	)	)	PUNCT
ejpam-5503	442	1	pu	pu	PROPN
ejpam-5503	442	2	w	w	PROPN
ejpam-5503	442	3	−	−	PROPN
ejpam-5503	442	4	4	4	NUM
ejpam-5503	442	5	(	(	PUNCT
ejpam-5503	442	6	1	1	NUM
ejpam-5503	442	7	−	−	PROPN
ejpam-5503	442	8	γ	γ	NOUN
ejpam-5503	442	9	)	)	PUNCT
ejpam-5503	442	10	w	w	ADP
ejpam-5503	442	11	]	]	PUNCT
ejpam-5503	443	1	+	+	CCONJ
ejpam-5503	443	2	2	2	NUM
ejpam-5503	443	3	[	[	X
ejpam-5503	443	4	(	(	PUNCT
ejpam-5503	443	5	1	1	NUM
ejpam-5503	443	6	−	−	PROPN
ejpam-5503	443	7	γ	γ	NOUN
ejpam-5503	443	8	)	)	PUNCT
ejpam-5503	443	9	w	w	PROPN
ejpam-5503	444	1	+	+	PUNCT
ejpam-5503	444	2	γ	γ	X
ejpam-5503	444	3	(	(	PUNCT
ejpam-5503	444	4	λ	λ	X
ejpam-5503	444	5	−	−	PROPN
ejpam-5503	444	6	1	1	NUM
ejpam-5503	444	7	−	−	NOUN
ejpam-5503	444	8	2λγ	2λγ	NOUN
ejpam-5503	444	9	)	)	PUNCT
ejpam-5503	444	10	a	a	PRON
ejpam-5503	444	11	]	]	PUNCT
ejpam-5503	444	12	.	.	PUNCT
ejpam-5503	445	1	(	(	PUNCT
ejpam-5503	445	2	v	v	X
ejpam-5503	445	3	)	)	PUNCT
ejpam-5503	445	4	we	we	PRON
ejpam-5503	445	5	have	have	VERB
ejpam-5503	445	6	tbγ	tbγ	NOUN
ejpam-5503	445	7	,	,	PUNCT
ejpam-5503	445	8	aγ	aγ	NOUN
ejpam-5503	445	9	rbγ	rbγ	NOUN
ejpam-5503	446	1	=	=	PUNCT
ejpam-5503	447	1	(	(	PUNCT
ejpam-5503	447	2	1	1	NUM
ejpam-5503	447	3	−	−	PROPN
ejpam-5503	447	4	2γ	2γ	NOUN
ejpam-5503	447	5	)	)	PUNCT
ejpam-5503	447	6	(	(	PUNCT
ejpam-5503	447	7	(	(	PUNCT
ejpam-5503	447	8	λγ(3	λγ(3	X
ejpam-5503	447	9	−	−	PROPN
ejpam-5503	447	10	2γ)−	2γ)−	NUM
ejpam-5503	447	11	1	1	NUM
ejpam-5503	447	12	)	)	PUNCT
ejpam-5503	447	13	x	x	SYM
ejpam-5503	448	1	−	−	PROPN
ejpam-5503	448	2	γ	γ	X
ejpam-5503	448	3	(	(	PUNCT
ejpam-5503	448	4	1	1	NUM
ejpam-5503	448	5	+	+	NUM
ejpam-5503	448	6	λ	λ	X
ejpam-5503	448	7	−	−	X
ejpam-5503	448	8	λγ	λγ	NOUN
ejpam-5503	448	9	(	(	PUNCT
ejpam-5503	448	10	5	5	NUM
ejpam-5503	448	11	−	−	PROPN
ejpam-5503	448	12	3γ	3γ	NUM
ejpam-5503	448	13	)	)	PUNCT
ejpam-5503	448	14	)	)	PUNCT
ejpam-5503	449	1	pu	pu	PROPN
ejpam-5503	449	2	x	x	PUNCT
ejpam-5503	450	1	+	+	NUM
ejpam-5503	450	2	s	s	PROPN
ejpam-5503	450	3	,	,	PUNCT
ejpam-5503	450	4	where	where	SCONJ
ejpam-5503	450	5	s	s	VERB
ejpam-5503	450	6	=	=	X
ejpam-5503	450	7	λγv	λγv	X
ejpam-5503	450	8	+	+	X
ejpam-5503	450	9	2	2	NUM
ejpam-5503	450	10	(	(	PUNCT
ejpam-5503	450	11	λγ2	λγ2	INTJ
ejpam-5503	450	12	−	−	PROPN
ejpam-5503	451	1	(	(	PUNCT
ejpam-5503	451	2	2λ	2λ	NOUN
ejpam-5503	451	3	+	+	CCONJ
ejpam-5503	451	4	1	1	X
ejpam-5503	451	5	)	)	PUNCT
ejpam-5503	451	6	γ	γ	NOUN
ejpam-5503	451	7	+	+	NOUN
ejpam-5503	451	8	1	1	NUM
ejpam-5503	451	9	)	)	PUNCT
ejpam-5503	451	10	w	w	ADP
ejpam-5503	451	11	−	−	NOUN
ejpam-5503	451	12	2γ	2γ	NOUN
ejpam-5503	451	13	(	(	PUNCT
ejpam-5503	451	14	λ	λ	X
ejpam-5503	451	15	(	(	PUNCT
ejpam-5503	451	16	3γ	3γ	NUM
ejpam-5503	451	17	+	+	CCONJ
ejpam-5503	451	18	4	4	NUM
ejpam-5503	451	19	)	)	PUNCT
ejpam-5503	451	20	+	+	CCONJ
ejpam-5503	451	21	1	1	X
ejpam-5503	451	22	)	)	PUNCT
ejpam-5503	452	1	a	a	DET
ejpam-5503	452	2	+	+	X
ejpam-5503	452	3	2λγ	2λγ	ADJ
ejpam-5503	452	4	(	(	PUNCT
ejpam-5503	452	5	1	1	NUM
ejpam-5503	452	6	−	−	PROPN
ejpam-5503	452	7	γ	γ	NOUN
ejpam-5503	452	8	)	)	PUNCT
ejpam-5503	452	9	2	2	NUM
ejpam-5503	452	10	pu	pu	PROPN
ejpam-5503	452	11	w.	w.	PROPN
ejpam-5503	452	12	s.	s.	PROPN
ejpam-5503	452	13	th	th	PROPN
ejpam-5503	452	14	.	.	PUNCT
ejpam-5503	453	1	alwadani	alwadani	PROPN
ejpam-5503	453	2	/	/	SYM
ejpam-5503	453	3	eur	eur	PROPN
ejpam-5503	453	4	.	.	PUNCT
ejpam-5503	454	1	j.	j.	PROPN
ejpam-5503	454	2	pure	pure	PROPN
ejpam-5503	454	3	appl	appl	PROPN
ejpam-5503	454	4	.	.	PROPN
ejpam-5503	454	5	math	math	PROPN
ejpam-5503	454	6	,	,	PUNCT
ejpam-5503	454	7	18	18	NUM
ejpam-5503	454	8	(	(	PUNCT
ejpam-5503	454	9	1	1	NUM
ejpam-5503	454	10	)	)	PUNCT
ejpam-5503	454	11	(	(	PUNCT
ejpam-5503	454	12	2025	2025	NUM
ejpam-5503	454	13	)	)	PUNCT
ejpam-5503	454	14	,	,	PUNCT
ejpam-5503	454	15	5503	5503	NUM
ejpam-5503	454	16	13	13	NUM
ejpam-5503	454	17	of	of	ADP
ejpam-5503	454	18	16	16	NUM
ejpam-5503	454	19	(	(	PUNCT
ejpam-5503	454	20	vi	vi	NOUN
ejpam-5503	454	21	)	)	PUNCT
ejpam-5503	454	22	rbγ	rbγ	NOUN
ejpam-5503	454	23	taγ	taγ	NOUN
ejpam-5503	454	24	,	,	PUNCT
ejpam-5503	454	25	bγ	bγ	PROPN
ejpam-5503	454	26	̸=	̸=	PROPN
ejpam-5503	454	27	tbγ	tbγ	NOUN
ejpam-5503	454	28	,	,	PUNCT
ejpam-5503	454	29	aγ	aγ	NOUN
ejpam-5503	454	30	rbγ	rbγ	NOUN
ejpam-5503	454	31	.	.	PUNCT
ejpam-5503	455	1	(	(	PUNCT
ejpam-5503	455	2	vii	vii	PROPN
ejpam-5503	455	3	)	)	PUNCT
ejpam-5503	455	4	we	we	PRON
ejpam-5503	455	5	have	have	VERB
ejpam-5503	455	6	rbγ	rbγ	NOUN
ejpam-5503	455	7	tbγ	tbγ	NOUN
ejpam-5503	455	8	,	,	PUNCT
ejpam-5503	455	9	aγ	aγ	PRON
ejpam-5503	455	10	=	=	PUNCT
ejpam-5503	455	11	(	(	PUNCT
ejpam-5503	455	12	2γ	2γ	NUM
ejpam-5503	455	13	−	−	PROPN
ejpam-5503	455	14	1	1	NUM
ejpam-5503	455	15	)	)	PUNCT
ejpam-5503	455	16	(	(	PUNCT
ejpam-5503	455	17	1	1	NUM
ejpam-5503	455	18	−	−	NOUN
ejpam-5503	455	19	λγ	λγ	NOUN
ejpam-5503	455	20	(	(	PUNCT
ejpam-5503	455	21	3	3	NUM
ejpam-5503	455	22	−	−	PROPN
ejpam-5503	455	23	2γ	2γ	NOUN
ejpam-5503	455	24	)	)	PUNCT
ejpam-5503	455	25	)	)	PUNCT
ejpam-5503	456	1	x	x	PUNCT
ejpam-5503	457	1	+	+	CCONJ
ejpam-5503	457	2	γ	γ	X
ejpam-5503	457	3	(	(	PUNCT
ejpam-5503	457	4	λγ	λγ	PROPN
ejpam-5503	457	5	(	(	PUNCT
ejpam-5503	457	6	5	5	NUM
ejpam-5503	457	7	−	−	PROPN
ejpam-5503	457	8	3γ	3γ	NUM
ejpam-5503	457	9	)	)	PUNCT
ejpam-5503	457	10	−	−	PROPN
ejpam-5503	458	1	λ	λ	INTJ
ejpam-5503	458	2	−	−	NOUN
ejpam-5503	458	3	1	1	NUM
ejpam-5503	458	4	)	)	PUNCT
ejpam-5503	458	5	pu	pu	NOUN
ejpam-5503	458	6	x	x	PUNCT
ejpam-5503	459	1	+	+	NUM
ejpam-5503	459	2	b	b	NOUN
ejpam-5503	459	3	,	,	PUNCT
ejpam-5503	459	4	where	where	SCONJ
ejpam-5503	459	5	b	b	X
ejpam-5503	459	6	=	=	SYM
ejpam-5503	459	7	−2γ	−2γ	PUNCT
ejpam-5503	459	8	(	(	PUNCT
ejpam-5503	459	9	λγ	λγ	NOUN
ejpam-5503	459	10	(	(	PUNCT
ejpam-5503	459	11	2γ	2γ	NUM
ejpam-5503	459	12	−	−	PROPN
ejpam-5503	459	13	3	3	NUM
ejpam-5503	459	14	)	)	PUNCT
ejpam-5503	460	1	+	+	CCONJ
ejpam-5503	460	2	λ	λ	X
ejpam-5503	460	3	+	+	NOUN
ejpam-5503	460	4	1	1	NUM
ejpam-5503	460	5	)	)	PUNCT
ejpam-5503	460	6	a	a	DET
ejpam-5503	460	7	−	−	PROPN
ejpam-5503	460	8	2	2	NUM
ejpam-5503	460	9	(	(	PUNCT
ejpam-5503	460	10	γ	γ	X
ejpam-5503	460	11	(	(	PUNCT
ejpam-5503	460	12	λγ	λγ	PROPN
ejpam-5503	460	13	(	(	PUNCT
ejpam-5503	460	14	2γ	2γ	NUM
ejpam-5503	460	15	−	−	PROPN
ejpam-5503	460	16	3	3	NUM
ejpam-5503	460	17	)	)	PUNCT
ejpam-5503	460	18	+	+	CCONJ
ejpam-5503	460	19	1	1	X
ejpam-5503	460	20	)	)	PUNCT
ejpam-5503	460	21	−	−	PROPN
ejpam-5503	460	22	1	1	NUM
ejpam-5503	460	23	)	)	PUNCT
ejpam-5503	460	24	w	w	PROPN
ejpam-5503	461	1	+	+	NUM
ejpam-5503	461	2	λγ	λγ	X
ejpam-5503	461	3	(	(	PUNCT
ejpam-5503	461	4	2γ	2γ	NUM
ejpam-5503	461	5	−	−	PROPN
ejpam-5503	461	6	1	1	X
ejpam-5503	461	7	)	)	PUNCT
ejpam-5503	461	8	v	v	ADP
ejpam-5503	461	9	−	−	PROPN
ejpam-5503	461	10	2λγ2(1	2λγ2(1	NUM
ejpam-5503	461	11	−	−	PROPN
ejpam-5503	461	12	γ	γ	PROPN
ejpam-5503	461	13	)	)	PUNCT
ejpam-5503	461	14	pu	pu	PROPN
ejpam-5503	461	15	w.	w.	PROPN
ejpam-5503	461	16	(	(	PUNCT
ejpam-5503	461	17	viii	viii	PROPN
ejpam-5503	461	18	)	)	PUNCT
ejpam-5503	461	19	we	we	PRON
ejpam-5503	461	20	have	have	VERB
ejpam-5503	461	21	taγ	taγ	NOUN
ejpam-5503	461	22	,	,	PUNCT
ejpam-5503	461	23	bγ	bγ	ADV
ejpam-5503	461	24	rbγ	rbγ	NOUN
ejpam-5503	461	25	=	=	SYM
ejpam-5503	461	26	(	(	PUNCT
ejpam-5503	461	27	2γ	2γ	NUM
ejpam-5503	461	28	−	−	PROPN
ejpam-5503	461	29	1	1	NUM
ejpam-5503	461	30	)	)	PUNCT
ejpam-5503	461	31	(	(	PUNCT
ejpam-5503	461	32	1	1	NUM
ejpam-5503	461	33	−	−	NOUN
ejpam-5503	461	34	λγ	λγ	NOUN
ejpam-5503	461	35	(	(	PUNCT
ejpam-5503	461	36	3	3	NUM
ejpam-5503	461	37	−	−	PROPN
ejpam-5503	461	38	2γ	2γ	NOUN
ejpam-5503	461	39	)	)	PUNCT
ejpam-5503	461	40	)	)	PUNCT
ejpam-5503	462	1	x	x	PUNCT
ejpam-5503	463	1	+	+	CCONJ
ejpam-5503	463	2	γ	γ	X
ejpam-5503	463	3	(	(	PUNCT
ejpam-5503	463	4	λγ	λγ	PROPN
ejpam-5503	463	5	(	(	PUNCT
ejpam-5503	463	6	5	5	NUM
ejpam-5503	463	7	−	−	PROPN
ejpam-5503	463	8	3γ	3γ	NUM
ejpam-5503	463	9	)	)	PUNCT
ejpam-5503	463	10	−	−	PROPN
ejpam-5503	464	1	λ	λ	INTJ
ejpam-5503	464	2	−	−	NOUN
ejpam-5503	464	3	1	1	NUM
ejpam-5503	464	4	)	)	PUNCT
ejpam-5503	464	5	pu	pu	NOUN
ejpam-5503	464	6	x	x	PUNCT
ejpam-5503	465	1	+	+	CCONJ
ejpam-5503	465	2	c	c	X
ejpam-5503	465	3	,	,	PUNCT
ejpam-5503	465	4	where	where	SCONJ
ejpam-5503	465	5	c	c	NOUN
ejpam-5503	465	6	=	=	SYM
ejpam-5503	465	7	−2γ	−2γ	PUNCT
ejpam-5503	465	8	(	(	PUNCT
ejpam-5503	465	9	λγ	λγ	NOUN
ejpam-5503	465	10	(	(	PUNCT
ejpam-5503	465	11	2γ	2γ	NUM
ejpam-5503	465	12	−	−	PROPN
ejpam-5503	465	13	3	3	NUM
ejpam-5503	465	14	)	)	PUNCT
ejpam-5503	466	1	+	+	CCONJ
ejpam-5503	466	2	λ	λ	X
ejpam-5503	466	3	+	+	NOUN
ejpam-5503	466	4	1	1	NUM
ejpam-5503	466	5	)	)	PUNCT
ejpam-5503	466	6	a	a	DET
ejpam-5503	466	7	−	−	PROPN
ejpam-5503	466	8	2	2	NUM
ejpam-5503	466	9	(	(	PUNCT
ejpam-5503	466	10	γ	γ	X
ejpam-5503	466	11	(	(	PUNCT
ejpam-5503	466	12	λγ	λγ	PROPN
ejpam-5503	466	13	(	(	PUNCT
ejpam-5503	466	14	2γ	2γ	NUM
ejpam-5503	466	15	−	−	PROPN
ejpam-5503	466	16	3	3	NUM
ejpam-5503	466	17	)	)	PUNCT
ejpam-5503	467	1	+	+	CCONJ
ejpam-5503	467	2	λ	λ	X
ejpam-5503	467	3	+	+	NOUN
ejpam-5503	467	4	1	1	NUM
ejpam-5503	467	5	)	)	PUNCT
ejpam-5503	467	6	−	−	PROPN
ejpam-5503	467	7	1	1	NUM
ejpam-5503	467	8	)	)	PUNCT
ejpam-5503	467	9	w	w	PROPN
ejpam-5503	468	1	+	+	NUM
ejpam-5503	468	2	λγ	λγ	X
ejpam-5503	468	3	(	(	PUNCT
ejpam-5503	468	4	2γ	2γ	NUM
ejpam-5503	468	5	−	−	PROPN
ejpam-5503	468	6	1	1	X
ejpam-5503	468	7	)	)	PUNCT
ejpam-5503	468	8	v	v	ADP
ejpam-5503	468	9	−	−	PROPN
ejpam-5503	468	10	2λγ2(1	2λγ2(1	NUM
ejpam-5503	468	11	−	−	PROPN
ejpam-5503	468	12	γ	γ	PROPN
ejpam-5503	468	13	)	)	PUNCT
ejpam-5503	468	14	pu	pu	PROPN
ejpam-5503	468	15	w.	w.	PROPN
ejpam-5503	468	16	(	(	PUNCT
ejpam-5503	468	17	ix	ix	PROPN
ejpam-5503	468	18	)	)	PUNCT
ejpam-5503	468	19	rbγ	rbγ	NOUN
ejpam-5503	468	20	tbγ	tbγ	NOUN
ejpam-5503	468	21	,	,	PUNCT
ejpam-5503	468	22	aγ	aγ	PRON
ejpam-5503	468	23	̸=	̸=	PROPN
ejpam-5503	468	24	taγ	taγ	NOUN
ejpam-5503	468	25	,	,	PUNCT
ejpam-5503	468	26	bγ	bγ	ADP
ejpam-5503	468	27	rbγ	rbγ	NOUN
ejpam-5503	468	28	.	.	PUNCT
ejpam-5503	469	1	proof	proof	NOUN
ejpam-5503	469	2	.	.	PUNCT
ejpam-5503	470	1	(	(	PUNCT
ejpam-5503	470	2	i	i	NOUN
ejpam-5503	470	3	):	):	PUNCT
ejpam-5503	470	4	this	this	PRON
ejpam-5503	470	5	is	be	AUX
ejpam-5503	470	6	derived	derive	VERB
ejpam-5503	470	7	from	from	ADP
ejpam-5503	470	8	example	example	NOUN
ejpam-5503	470	9	1	1	NUM
ejpam-5503	470	10	(	(	PUNCT
ejpam-5503	470	11	xi	xi	PROPN
ejpam-5503	470	12	)	)	PUNCT
ejpam-5503	470	13	.	.	PUNCT
ejpam-5503	471	1	(	(	PUNCT
ejpam-5503	471	2	ii	ii	NOUN
ejpam-5503	471	3	)	)	PUNCT
ejpam-5503	471	4	:	:	PUNCT
ejpam-5503	471	5	this	this	PRON
ejpam-5503	471	6	is	be	AUX
ejpam-5503	471	7	derived	derive	VERB
ejpam-5503	471	8	from	from	ADP
ejpam-5503	471	9	example	example	NOUN
ejpam-5503	471	10	1	1	NUM
ejpam-5503	471	11	(	(	PUNCT
ejpam-5503	471	12	xii	xii	NOUN
ejpam-5503	471	13	)	)	PUNCT
ejpam-5503	471	14	.	.	PUNCT
ejpam-5503	472	1	(	(	PUNCT
ejpam-5503	472	2	iii	iii	NOUN
ejpam-5503	472	3	)	)	PUNCT
ejpam-5503	472	4	:	:	PUNCT
ejpam-5503	472	5	utilizing	utilize	VERB
ejpam-5503	472	6	(	(	PUNCT
ejpam-5503	472	7	i	i	NOUN
ejpam-5503	472	8	)	)	PUNCT
ejpam-5503	472	9	,	,	PUNCT
ejpam-5503	472	10	(	(	PUNCT
ejpam-5503	472	11	ii	ii	NOUN
ejpam-5503	472	12	)	)	PUNCT
ejpam-5503	472	13	,	,	PUNCT
ejpam-5503	472	14	and	and	CCONJ
ejpam-5503	472	15	example	example	NOUN
ejpam-5503	472	16	1(ii	1(ii	NUM
ejpam-5503	472	17	)	)	PUNCT
ejpam-5503	472	18	,	,	PUNCT
ejpam-5503	472	19	we	we	PRON
ejpam-5503	472	20	find	find	VERB
ejpam-5503	472	21	that	that	SCONJ
ejpam-5503	472	22	:	:	PUNCT
ejpam-5503	472	23	raγ	raγ	NOUN
ejpam-5503	472	24	taγ	taγ	NOUN
ejpam-5503	472	25	,	,	PUNCT
ejpam-5503	472	26	bγ	bγ	PROPN
ejpam-5503	472	27	(	(	PUNCT
ejpam-5503	472	28	x	x	X
ejpam-5503	472	29	)	)	PUNCT
ejpam-5503	472	30	=	=	SYM
ejpam-5503	472	31	(	(	PUNCT
ejpam-5503	472	32	γv	γv	PROPN
ejpam-5503	472	33	−	−	PROPN
ejpam-5503	472	34	(	(	PUNCT
ejpam-5503	472	35	1	1	NUM
ejpam-5503	472	36	−	−	PROPN
ejpam-5503	472	37	γ	γ	NOUN
ejpam-5503	472	38	)	)	PUNCT
ejpam-5503	472	39	id+2	id+2	PROPN
ejpam-5503	473	1	(	(	PUNCT
ejpam-5503	473	2	1	1	NUM
ejpam-5503	473	3	−	−	PROPN
ejpam-5503	473	4	γ	γ	NOUN
ejpam-5503	473	5	)	)	PUNCT
ejpam-5503	473	6	w	w	PROPN
ejpam-5503	473	7	)	)	PUNCT
ejpam-5503	473	8	taγ	taγ	NOUN
ejpam-5503	473	9	,	,	PUNCT
ejpam-5503	473	10	bγ	bγ	PRON
ejpam-5503	473	11	(	(	PUNCT
ejpam-5503	473	12	x	x	X
ejpam-5503	473	13	)	)	PUNCT
ejpam-5503	473	14	=	=	SYM
ejpam-5503	473	15	γv	γv	NOUN
ejpam-5503	474	1	+	+	CCONJ
ejpam-5503	474	2	2	2	NUM
ejpam-5503	474	3	(	(	PUNCT
ejpam-5503	474	4	1	1	NUM
ejpam-5503	474	5	−	−	PROPN
ejpam-5503	474	6	γ	γ	NOUN
ejpam-5503	474	7	)	)	PUNCT
ejpam-5503	474	8	w	w	ADP
ejpam-5503	474	9	−	−	PROPN
ejpam-5503	474	10	(	(	PUNCT
ejpam-5503	474	11	1	1	NUM
ejpam-5503	474	12	−	−	PROPN
ejpam-5503	474	13	γ	γ	PROPN
ejpam-5503	474	14	)	)	PUNCT
ejpam-5503	474	15	taγ	taγ	NOUN
ejpam-5503	474	16	,	,	PUNCT
ejpam-5503	474	17	bγ	bγ	PRON
ejpam-5503	474	18	(	(	PUNCT
ejpam-5503	474	19	x	x	X
ejpam-5503	474	20	)	)	PUNCT
ejpam-5503	474	21	=	=	NOUN
ejpam-5503	474	22	γv	γv	NOUN
ejpam-5503	474	23	−	−	PROPN
ejpam-5503	475	1	(	(	PUNCT
ejpam-5503	475	2	1	1	NUM
ejpam-5503	475	3	−	−	PROPN
ejpam-5503	475	4	γ	γ	PROPN
ejpam-5503	475	5	)	)	PUNCT
ejpam-5503	475	6	λγ	λγ	PROPN
ejpam-5503	475	7	(	(	PUNCT
ejpam-5503	475	8	2γ	2γ	NUM
ejpam-5503	475	9	−	−	PROPN
ejpam-5503	475	10	1	1	X
ejpam-5503	475	11	)	)	PUNCT
ejpam-5503	475	12	v	v	NOUN
ejpam-5503	475	13	+	+	CCONJ
ejpam-5503	475	14	2	2	NUM
ejpam-5503	475	15	(	(	PUNCT
ejpam-5503	475	16	1	1	NUM
ejpam-5503	475	17	−	−	PROPN
ejpam-5503	475	18	γ	γ	NOUN
ejpam-5503	475	19	)	)	PUNCT
ejpam-5503	475	20	w	w	ADP
ejpam-5503	475	21	−	−	NOUN
ejpam-5503	475	22	4λγ	4λγ	NOUN
ejpam-5503	475	23	(	(	PUNCT
ejpam-5503	475	24	1	1	NUM
ejpam-5503	475	25	−	−	PROPN
ejpam-5503	475	26	γ	γ	NOUN
ejpam-5503	475	27	)	)	PUNCT
ejpam-5503	475	28	2w	2w	PROPN
ejpam-5503	475	29	−	−	PROPN
ejpam-5503	476	1	(	(	PUNCT
ejpam-5503	476	2	1	1	NUM
ejpam-5503	476	3	−	−	PROPN
ejpam-5503	476	4	γ	γ	NOUN
ejpam-5503	476	5	)	)	PUNCT
ejpam-5503	476	6	(	(	PUNCT
ejpam-5503	476	7	(	(	PUNCT
ejpam-5503	476	8	1	1	NUM
ejpam-5503	476	9	−	−	NOUN
ejpam-5503	476	10	λγ	λγ	NOUN
ejpam-5503	476	11	(	(	PUNCT
ejpam-5503	476	12	3	3	NUM
ejpam-5503	476	13	−	−	PROPN
ejpam-5503	476	14	2γ	2γ	NOUN
ejpam-5503	476	15	)	)	PUNCT
ejpam-5503	476	16	)	)	PUNCT
ejpam-5503	476	17	x	x	X
ejpam-5503	477	1	+	+	PUNCT
ejpam-5503	477	2	λγ	λγ	X
ejpam-5503	477	3	(	(	PUNCT
ejpam-5503	477	4	1	1	NUM
ejpam-5503	477	5	−	−	PROPN
ejpam-5503	477	6	γ	γ	X
ejpam-5503	477	7	)	)	PUNCT
ejpam-5503	477	8	pu	pu	PROPN
ejpam-5503	477	9	x	x	PUNCT
ejpam-5503	478	1	+	+	PUNCT
ejpam-5503	478	2	λγ	λγ	PROPN
ejpam-5503	478	3	(	(	PUNCT
ejpam-5503	478	4	−	−	PROPN
ejpam-5503	478	5	2	2	NUM
ejpam-5503	478	6	(	(	PUNCT
ejpam-5503	478	7	1	1	NUM
ejpam-5503	478	8	−	−	PROPN
ejpam-5503	478	9	γ	γ	X
ejpam-5503	478	10	)	)	PUNCT
ejpam-5503	478	11	pu	pu	PROPN
ejpam-5503	478	12	w	w	PROPN
ejpam-5503	478	13	−	−	PROPN
ejpam-5503	478	14	2a	2a	NUM
ejpam-5503	478	15	)	)	PUNCT
ejpam-5503	478	16	)	)	PUNCT
ejpam-5503	479	1	=	=	PUNCT
ejpam-5503	479	2	(	(	PUNCT
ejpam-5503	479	3	1	1	NUM
ejpam-5503	479	4	−	−	PROPN
ejpam-5503	479	5	γ	γ	NOUN
ejpam-5503	479	6	)	)	PUNCT
ejpam-5503	479	7	(	(	PUNCT
ejpam-5503	479	8	(	(	PUNCT
ejpam-5503	479	9	λγ	λγ	X
ejpam-5503	479	10	(	(	PUNCT
ejpam-5503	479	11	3	3	NUM
ejpam-5503	479	12	−	−	PROPN
ejpam-5503	479	13	2γ	2γ	NOUN
ejpam-5503	479	14	)	)	PUNCT
ejpam-5503	479	15	−	−	ADP
ejpam-5503	480	1	1	1	NUM
ejpam-5503	480	2	)	)	PUNCT
ejpam-5503	481	1	x	x	PUNCT
ejpam-5503	481	2	−	−	PROPN
ejpam-5503	482	1	λγ	λγ	NOUN
ejpam-5503	482	2	(	(	PUNCT
ejpam-5503	482	3	1	1	NUM
ejpam-5503	482	4	−	−	PROPN
ejpam-5503	482	5	γ	γ	X
ejpam-5503	482	6	)	)	PUNCT
ejpam-5503	482	7	pu	pu	PROPN
ejpam-5503	482	8	x	x	PUNCT
ejpam-5503	482	9	)	)	PUNCT
ejpam-5503	483	1	+	+	CCONJ
ejpam-5503	483	2	γ	γ	X
ejpam-5503	483	3	[	[	PUNCT
ejpam-5503	483	4	λγ	λγ	NOUN
ejpam-5503	483	5	(	(	PUNCT
ejpam-5503	483	6	2γ	2γ	NUM
ejpam-5503	483	7	−	−	PROPN
ejpam-5503	483	8	3	3	NUM
ejpam-5503	483	9	)	)	PUNCT
ejpam-5503	483	10	+	+	CCONJ
ejpam-5503	484	1	1	1	NUM
ejpam-5503	484	2	+	+	NUM
ejpam-5503	484	3	λ	λ	X
ejpam-5503	484	4	]	]	X
ejpam-5503	484	5	v	v	X
ejpam-5503	484	6	+	+	CCONJ
ejpam-5503	484	7	2	2	NUM
ejpam-5503	484	8	(	(	PUNCT
ejpam-5503	484	9	1	1	NUM
ejpam-5503	484	10	−	−	PROPN
ejpam-5503	484	11	γ	γ	NOUN
ejpam-5503	484	12	)	)	PUNCT
ejpam-5503	485	1	[	[	X
ejpam-5503	485	2	(	(	PUNCT
ejpam-5503	485	3	1	1	NUM
ejpam-5503	485	4	−	−	NOUN
ejpam-5503	485	5	2λγ	2λγ	NOUN
ejpam-5503	485	6	(	(	PUNCT
ejpam-5503	485	7	1	1	NUM
ejpam-5503	485	8	−	−	PROPN
ejpam-5503	485	9	γ	γ	NOUN
ejpam-5503	485	10	)	)	PUNCT
ejpam-5503	485	11	)	)	PUNCT
ejpam-5503	486	1	w	w	PROPN
ejpam-5503	487	1	+	+	NUM
ejpam-5503	487	2	λγ	λγ	X
ejpam-5503	487	3	(	(	PUNCT
ejpam-5503	487	4	1	1	NUM
ejpam-5503	487	5	−	−	PROPN
ejpam-5503	487	6	γ	γ	X
ejpam-5503	487	7	)	)	PUNCT
ejpam-5503	487	8	pu	pu	PROPN
ejpam-5503	487	9	w	w	PROPN
ejpam-5503	487	10	]	]	X
ejpam-5503	487	11	+	+	NUM
ejpam-5503	487	12	2λγ	2λγ	ADJ
ejpam-5503	487	13	(	(	PUNCT
ejpam-5503	487	14	1	1	NUM
ejpam-5503	487	15	−	−	PROPN
ejpam-5503	487	16	γ	γ	NOUN
ejpam-5503	487	17	)	)	PUNCT
ejpam-5503	487	18	a.	a.	NOUN
ejpam-5503	487	19	moreover	moreover	ADV
ejpam-5503	487	20	,	,	PUNCT
ejpam-5503	487	21	tbγ	tbγ	PROPN
ejpam-5503	487	22	,	,	PUNCT
ejpam-5503	487	23	aγ	aγ	PRON
ejpam-5503	487	24	raγ	raγ	NOUN
ejpam-5503	487	25	(	(	PUNCT
ejpam-5503	487	26	x	x	NOUN
ejpam-5503	487	27	)	)	PUNCT
ejpam-5503	487	28	=	=	SYM
ejpam-5503	488	1	(	(	PUNCT
ejpam-5503	488	2	1	1	NUM
ejpam-5503	488	3	−	−	NOUN
ejpam-5503	488	4	λγ	λγ	NOUN
ejpam-5503	488	5	(	(	PUNCT
ejpam-5503	488	6	3	3	NUM
ejpam-5503	488	7	−	−	PROPN
ejpam-5503	488	8	2γ	2γ	NOUN
ejpam-5503	488	9	)	)	PUNCT
ejpam-5503	488	10	)	)	PUNCT
ejpam-5503	488	11	raγ	raγ	NOUN
ejpam-5503	488	12	(	(	PUNCT
ejpam-5503	488	13	x	x	X
ejpam-5503	488	14	)	)	PUNCT
ejpam-5503	488	15	+	+	NUM
ejpam-5503	488	16	λγ	λγ	NOUN
ejpam-5503	488	17	(	(	PUNCT
ejpam-5503	488	18	1	1	NUM
ejpam-5503	488	19	−	−	PROPN
ejpam-5503	488	20	γ	γ	X
ejpam-5503	488	21	)	)	PUNCT
ejpam-5503	488	22	pu	pu	PROPN
ejpam-5503	488	23	raγ	raγ	NOUN
ejpam-5503	488	24	(	(	PUNCT
ejpam-5503	488	25	x	x	X
ejpam-5503	488	26	)	)	PUNCT
ejpam-5503	488	27	+	+	NUM
ejpam-5503	488	28	λγ	λγ	NOUN
ejpam-5503	488	29	(	(	PUNCT
ejpam-5503	488	30	2	2	NUM
ejpam-5503	488	31	(	(	PUNCT
ejpam-5503	488	32	1	1	NUM
ejpam-5503	488	33	−	−	PROPN
ejpam-5503	488	34	γ	γ	NOUN
ejpam-5503	488	35	)	)	PUNCT
ejpam-5503	488	36	a	a	PRON
ejpam-5503	489	1	+	+	NOUN
ejpam-5503	489	2	v	v	ADJ
ejpam-5503	489	3	+	+	CCONJ
ejpam-5503	489	4	2	2	NUM
ejpam-5503	489	5	(	(	PUNCT
ejpam-5503	489	6	1	1	NUM
ejpam-5503	489	7	−	−	PROPN
ejpam-5503	489	8	γ	γ	NOUN
ejpam-5503	489	9	)	)	PUNCT
ejpam-5503	489	10	w	w	PROPN
ejpam-5503	489	11	)	)	PUNCT
ejpam-5503	489	12	.	.	PUNCT
ejpam-5503	490	1	=	=	PUNCT
ejpam-5503	490	2	(	(	PUNCT
ejpam-5503	490	3	1	1	NUM
ejpam-5503	490	4	−	−	PROPN
ejpam-5503	490	5	γ	γ	NOUN
ejpam-5503	490	6	)	)	PUNCT
ejpam-5503	490	7	(	(	PUNCT
ejpam-5503	490	8	(	(	PUNCT
ejpam-5503	490	9	λγ	λγ	X
ejpam-5503	490	10	(	(	PUNCT
ejpam-5503	490	11	3	3	NUM
ejpam-5503	490	12	−	−	PROPN
ejpam-5503	490	13	2γ	2γ	NOUN
ejpam-5503	490	14	)	)	PUNCT
ejpam-5503	490	15	−	−	ADP
ejpam-5503	490	16	1	1	NUM
ejpam-5503	490	17	)	)	PUNCT
ejpam-5503	490	18	x	x	PUNCT
ejpam-5503	490	19	−	−	PROPN
ejpam-5503	490	20	λγ	λγ	NOUN
ejpam-5503	490	21	(	(	PUNCT
ejpam-5503	490	22	1	1	NUM
ejpam-5503	490	23	−	−	PROPN
ejpam-5503	490	24	γ	γ	X
ejpam-5503	490	25	)	)	PUNCT
ejpam-5503	490	26	pu	pu	PROPN
ejpam-5503	490	27	x	x	PUNCT
ejpam-5503	490	28	)	)	PUNCT
ejpam-5503	491	1	+	+	CCONJ
ejpam-5503	491	2	γ	γ	X
ejpam-5503	491	3	[	[	PUNCT
ejpam-5503	491	4	λγ	λγ	NOUN
ejpam-5503	491	5	(	(	PUNCT
ejpam-5503	491	6	2γ	2γ	NUM
ejpam-5503	491	7	−	−	PROPN
ejpam-5503	491	8	3	3	NUM
ejpam-5503	491	9	)	)	PUNCT
ejpam-5503	491	10	+	+	CCONJ
ejpam-5503	492	1	1	1	NUM
ejpam-5503	492	2	+	+	NUM
ejpam-5503	492	3	λ	λ	X
ejpam-5503	492	4	]	]	X
ejpam-5503	492	5	v	v	X
ejpam-5503	492	6	+	+	CCONJ
ejpam-5503	492	7	2	2	NUM
ejpam-5503	492	8	(	(	PUNCT
ejpam-5503	492	9	1	1	NUM
ejpam-5503	492	10	−	−	PROPN
ejpam-5503	492	11	γ	γ	NOUN
ejpam-5503	492	12	)	)	PUNCT
ejpam-5503	493	1	[	[	X
ejpam-5503	493	2	(	(	PUNCT
ejpam-5503	493	3	1	1	NUM
ejpam-5503	493	4	−	−	NOUN
ejpam-5503	493	5	2λγ	2λγ	NOUN
ejpam-5503	493	6	(	(	PUNCT
ejpam-5503	493	7	1	1	NUM
ejpam-5503	493	8	−	−	PROPN
ejpam-5503	493	9	γ	γ	NOUN
ejpam-5503	493	10	)	)	PUNCT
ejpam-5503	493	11	)	)	PUNCT
ejpam-5503	494	1	w	w	PROPN
ejpam-5503	494	2	s.	s.	PROPN
ejpam-5503	494	3	th	th	PROPN
ejpam-5503	494	4	.	.	PUNCT
ejpam-5503	495	1	alwadani	alwadani	PROPN
ejpam-5503	495	2	/	/	SYM
ejpam-5503	495	3	eur	eur	PROPN
ejpam-5503	495	4	.	.	PUNCT
ejpam-5503	496	1	j.	j.	PROPN
ejpam-5503	496	2	pure	pure	PROPN
ejpam-5503	496	3	appl	appl	PROPN
ejpam-5503	496	4	.	.	PROPN
ejpam-5503	496	5	math	math	PROPN
ejpam-5503	496	6	,	,	PUNCT
ejpam-5503	496	7	18	18	NUM
ejpam-5503	496	8	(	(	PUNCT
ejpam-5503	496	9	1	1	NUM
ejpam-5503	496	10	)	)	PUNCT
ejpam-5503	496	11	(	(	PUNCT
ejpam-5503	496	12	2025	2025	NUM
ejpam-5503	496	13	)	)	PUNCT
ejpam-5503	496	14	,	,	PUNCT
ejpam-5503	496	15	5503	5503	NUM
ejpam-5503	496	16	14	14	NUM
ejpam-5503	496	17	of	of	ADP
ejpam-5503	496	18	16	16	NUM
ejpam-5503	496	19	+	+	CCONJ
ejpam-5503	496	20	λγ	λγ	PROPN
ejpam-5503	496	21	(	(	PUNCT
ejpam-5503	496	22	1	1	NUM
ejpam-5503	496	23	−	−	PROPN
ejpam-5503	496	24	γ	γ	X
ejpam-5503	496	25	)	)	PUNCT
ejpam-5503	496	26	pu	pu	PROPN
ejpam-5503	496	27	w	w	PROPN
ejpam-5503	497	1	]	]	X
ejpam-5503	498	1	+	+	NUM
ejpam-5503	498	2	2λγ	2λγ	ADJ
ejpam-5503	498	3	(	(	PUNCT
ejpam-5503	498	4	1	1	NUM
ejpam-5503	498	5	−	−	PROPN
ejpam-5503	498	6	γ	γ	NOUN
ejpam-5503	498	7	)	)	PUNCT
ejpam-5503	498	8	a.	a.	NOUN
ejpam-5503	498	9	therefore	therefore	ADV
ejpam-5503	498	10	,	,	PUNCT
ejpam-5503	498	11	raγ	raγ	NOUN
ejpam-5503	498	12	taγ	taγ	NOUN
ejpam-5503	498	13	,	,	PUNCT
ejpam-5503	498	14	bγ	bγ	PROPN
ejpam-5503	498	15	(	(	PUNCT
ejpam-5503	498	16	x	x	X
ejpam-5503	498	17	)	)	PUNCT
ejpam-5503	498	18	=	=	SYM
ejpam-5503	498	19	tbγ	tbγ	NOUN
ejpam-5503	498	20	,	,	PUNCT
ejpam-5503	498	21	aγ	aγ	PRON
ejpam-5503	498	22	raγ	raγ	NOUN
ejpam-5503	498	23	(	(	PUNCT
ejpam-5503	498	24	x	x	NOUN
ejpam-5503	498	25	)	)	PUNCT
ejpam-5503	498	26	.	.	PUNCT
ejpam-5503	499	1	and	and	CCONJ
ejpam-5503	499	2	(	(	PUNCT
ejpam-5503	499	3	iii	iii	X
ejpam-5503	499	4	)	)	PUNCT
ejpam-5503	499	5	is	be	AUX
ejpam-5503	499	6	verified	verify	VERB
ejpam-5503	499	7	.	.	PUNCT
ejpam-5503	500	1	(	(	PUNCT
ejpam-5503	500	2	iv	iv	X
ejpam-5503	500	3	):	):	PUNCT
ejpam-5503	500	4	using	use	VERB
ejpam-5503	500	5	example	example	NOUN
ejpam-5503	500	6	1(iv	1(iv	NUM
ejpam-5503	500	7	)	)	PUNCT
ejpam-5503	500	8	and	and	CCONJ
ejpam-5503	500	9	(	(	PUNCT
ejpam-5503	500	10	i	i	NOUN
ejpam-5503	500	11	)	)	PUNCT
ejpam-5503	500	12	gives	give	VERB
ejpam-5503	500	13	rbγ	rbγ	NOUN
ejpam-5503	500	14	taγ	taγ	NOUN
ejpam-5503	500	15	,	,	PUNCT
ejpam-5503	500	16	bγ	bγ	PROPN
ejpam-5503	500	17	(	(	PUNCT
ejpam-5503	500	18	x	x	X
ejpam-5503	500	19	)	)	PUNCT
ejpam-5503	501	1	=	=	SYM
ejpam-5503	501	2	(	(	PUNCT
ejpam-5503	501	3	(	(	PUNCT
ejpam-5503	501	4	2γ	2γ	NUM
ejpam-5503	501	5	−	−	PROPN
ejpam-5503	501	6	1	1	X
ejpam-5503	501	7	)	)	PUNCT
ejpam-5503	501	8	id−γ	id−γ	ADJ
ejpam-5503	501	9	pu	pu	PROPN
ejpam-5503	501	10	−2γa	−2γa	PUNCT
ejpam-5503	501	11	+	+	CCONJ
ejpam-5503	501	12	2	2	NUM
ejpam-5503	501	13	(	(	PUNCT
ejpam-5503	501	14	1	1	NUM
ejpam-5503	501	15	−	−	PROPN
ejpam-5503	501	16	γ	γ	NOUN
ejpam-5503	501	17	)	)	PUNCT
ejpam-5503	501	18	w	w	PROPN
ejpam-5503	501	19	)	)	PUNCT
ejpam-5503	501	20	taγ	taγ	NOUN
ejpam-5503	501	21	,	,	PUNCT
ejpam-5503	501	22	bγ	bγ	PRON
ejpam-5503	501	23	(	(	PUNCT
ejpam-5503	501	24	x	x	X
ejpam-5503	501	25	)	)	PUNCT
ejpam-5503	501	26	=	=	SYM
ejpam-5503	501	27	2	2	NUM
ejpam-5503	501	28	(	(	PUNCT
ejpam-5503	501	29	1	1	NUM
ejpam-5503	501	30	−	−	PROPN
ejpam-5503	501	31	γ	γ	NOUN
ejpam-5503	501	32	)	)	PUNCT
ejpam-5503	501	33	w	w	ADP
ejpam-5503	501	34	−	−	PROPN
ejpam-5503	501	35	2γa	2γa	ADJ
ejpam-5503	501	36	−	−	PROPN
ejpam-5503	502	1	(	(	PUNCT
ejpam-5503	502	2	1	1	NUM
ejpam-5503	502	3	−	−	PROPN
ejpam-5503	502	4	2γ	2γ	NOUN
ejpam-5503	502	5	)	)	PUNCT
ejpam-5503	502	6	taγ	taγ	NOUN
ejpam-5503	502	7	,	,	PUNCT
ejpam-5503	502	8	bγ	bγ	PRON
ejpam-5503	502	9	(	(	PUNCT
ejpam-5503	502	10	x)−	x)−	PROPN
ejpam-5503	502	11	γ	γ	PROPN
ejpam-5503	502	12	pu	pu	PROPN
ejpam-5503	502	13	taγ	taγ	PROPN
ejpam-5503	502	14	,	,	PUNCT
ejpam-5503	502	15	bγ	bγ	PROPN
ejpam-5503	502	16	(	(	PUNCT
ejpam-5503	502	17	x	x	X
ejpam-5503	502	18	)	)	PUNCT
ejpam-5503	502	19	=	=	SYM
ejpam-5503	502	20	2	2	NUM
ejpam-5503	502	21	(	(	PUNCT
ejpam-5503	502	22	1	1	NUM
ejpam-5503	502	23	−	−	PROPN
ejpam-5503	502	24	γ	γ	NOUN
ejpam-5503	502	25	)	)	PUNCT
ejpam-5503	502	26	w	w	ADP
ejpam-5503	502	27	−	−	PROPN
ejpam-5503	502	28	2γa	2γa	ADJ
ejpam-5503	502	29	−	−	PROPN
ejpam-5503	503	1	(	(	PUNCT
ejpam-5503	503	2	1	1	NUM
ejpam-5503	503	3	−	−	PROPN
ejpam-5503	503	4	2γ	2γ	NOUN
ejpam-5503	503	5	)	)	PUNCT
ejpam-5503	504	1	[	[	X
ejpam-5503	504	2	(	(	PUNCT
ejpam-5503	504	3	1	1	NUM
ejpam-5503	504	4	−	−	NOUN
ejpam-5503	504	5	λγ	λγ	NOUN
ejpam-5503	504	6	(	(	PUNCT
ejpam-5503	504	7	3	3	NUM
ejpam-5503	504	8	−	−	PROPN
ejpam-5503	504	9	2γ	2γ	NOUN
ejpam-5503	504	10	)	)	PUNCT
ejpam-5503	504	11	)	)	PUNCT
ejpam-5503	505	1	x	x	X
ejpam-5503	506	1	+	+	PUNCT
ejpam-5503	506	2	λγ	λγ	X
ejpam-5503	506	3	(	(	PUNCT
ejpam-5503	506	4	1	1	NUM
ejpam-5503	506	5	−	−	PROPN
ejpam-5503	506	6	γ	γ	X
ejpam-5503	506	7	)	)	PUNCT
ejpam-5503	506	8	pu	pu	PROPN
ejpam-5503	506	9	x	x	PUNCT
ejpam-5503	507	1	+	+	CCONJ
ejpam-5503	507	2	k	k	X
ejpam-5503	507	3	]	]	X
ejpam-5503	507	4	=	=	PUNCT
ejpam-5503	507	5	(	(	PUNCT
ejpam-5503	507	6	1	1	NUM
ejpam-5503	507	7	−	−	PROPN
ejpam-5503	507	8	2γ	2γ	NOUN
ejpam-5503	507	9	)	)	PUNCT
ejpam-5503	508	1	[	[	X
ejpam-5503	508	2	(	(	PUNCT
ejpam-5503	508	3	λγ	λγ	X
ejpam-5503	508	4	(	(	PUNCT
ejpam-5503	508	5	3	3	NUM
ejpam-5503	508	6	−	−	PROPN
ejpam-5503	508	7	2γ	2γ	NOUN
ejpam-5503	508	8	)	)	PUNCT
ejpam-5503	509	1	−	−	ADP
ejpam-5503	509	2	1	1	NUM
ejpam-5503	509	3	)	)	PUNCT
ejpam-5503	509	4	x	x	PUNCT
ejpam-5503	509	5	−	−	PROPN
ejpam-5503	509	6	λγ	λγ	NOUN
ejpam-5503	509	7	(	(	PUNCT
ejpam-5503	509	8	1	1	NUM
ejpam-5503	509	9	−	−	PROPN
ejpam-5503	509	10	γ	γ	X
ejpam-5503	509	11	)	)	PUNCT
ejpam-5503	509	12	pu	pu	PROPN
ejpam-5503	509	13	x	x	PUNCT
ejpam-5503	510	1	]	]	PUNCT
ejpam-5503	510	2	+	+	CCONJ
ejpam-5503	510	3	λγ	λγ	X
ejpam-5503	510	4	(	(	PUNCT
ejpam-5503	510	5	1	1	NUM
ejpam-5503	510	6	−	−	PROPN
ejpam-5503	510	7	2γ	2γ	NOUN
ejpam-5503	510	8	)	)	PUNCT
ejpam-5503	511	1	[	[	X
ejpam-5503	511	2	(	(	PUNCT
ejpam-5503	511	3	1	1	NUM
ejpam-5503	511	4	−	−	NOUN
ejpam-5503	511	5	2γ	2γ	NOUN
ejpam-5503	511	6	)	)	PUNCT
ejpam-5503	511	7	v	v	ADP
ejpam-5503	511	8	+	+	NUM
ejpam-5503	511	9	2	2	NUM
ejpam-5503	511	10	(	(	PUNCT
ejpam-5503	511	11	1	1	NUM
ejpam-5503	511	12	−	−	PROPN
ejpam-5503	511	13	γ	γ	X
ejpam-5503	511	14	)	)	PUNCT
ejpam-5503	512	1	pu	pu	PROPN
ejpam-5503	512	2	w	w	PROPN
ejpam-5503	512	3	−	−	PROPN
ejpam-5503	512	4	4	4	NUM
ejpam-5503	512	5	(	(	PUNCT
ejpam-5503	512	6	1	1	NUM
ejpam-5503	512	7	−	−	PROPN
ejpam-5503	512	8	γ	γ	NOUN
ejpam-5503	512	9	)	)	PUNCT
ejpam-5503	512	10	w	w	ADP
ejpam-5503	512	11	]	]	PUNCT
ejpam-5503	513	1	+	+	CCONJ
ejpam-5503	513	2	2	2	NUM
ejpam-5503	513	3	[	[	X
ejpam-5503	513	4	(	(	PUNCT
ejpam-5503	513	5	1	1	NUM
ejpam-5503	513	6	−	−	PROPN
ejpam-5503	513	7	γ	γ	NOUN
ejpam-5503	513	8	)	)	PUNCT
ejpam-5503	513	9	w	w	PROPN
ejpam-5503	514	1	+	+	PUNCT
ejpam-5503	514	2	γ	γ	X
ejpam-5503	514	3	(	(	PUNCT
ejpam-5503	514	4	λ	λ	X
ejpam-5503	514	5	−	−	PROPN
ejpam-5503	514	6	1	1	NUM
ejpam-5503	514	7	−	−	NOUN
ejpam-5503	514	8	2λγ	2λγ	NOUN
ejpam-5503	514	9	)	)	PUNCT
ejpam-5503	514	10	a	a	PRON
ejpam-5503	514	11	]	]	PUNCT
ejpam-5503	514	12	.	.	PUNCT
ejpam-5503	515	1	(	(	PUNCT
ejpam-5503	515	2	v	v	NOUN
ejpam-5503	515	3	):	):	PUNCT
ejpam-5503	515	4	utilizing	utilizing	NOUN
ejpam-5503	515	5	(	(	PUNCT
ejpam-5503	515	6	ii	ii	NOUN
ejpam-5503	515	7	)	)	PUNCT
ejpam-5503	515	8	and	and	CCONJ
ejpam-5503	515	9	example	example	NOUN
ejpam-5503	515	10	1(iv	1(iv	NUM
ejpam-5503	515	11	)	)	PUNCT
ejpam-5503	515	12	,	,	PUNCT
ejpam-5503	515	13	we	we	PRON
ejpam-5503	515	14	obtain	obtain	VERB
ejpam-5503	515	15	tbγ	tbγ	NOUN
ejpam-5503	515	16	,	,	PUNCT
ejpam-5503	515	17	aγ	aγ	NOUN
ejpam-5503	515	18	rbγ	rbγ	NOUN
ejpam-5503	515	19	=	=	SYM
ejpam-5503	515	20	(	(	PUNCT
ejpam-5503	515	21	(	(	PUNCT
ejpam-5503	515	22	1	1	NUM
ejpam-5503	515	23	−	−	NOUN
ejpam-5503	515	24	λγ	λγ	NOUN
ejpam-5503	515	25	(	(	PUNCT
ejpam-5503	515	26	3	3	NUM
ejpam-5503	515	27	−	−	PROPN
ejpam-5503	515	28	2γ	2γ	NOUN
ejpam-5503	515	29	)	)	PUNCT
ejpam-5503	516	1	i	i	PROPN
ejpam-5503	516	2	d	d	PROPN
ejpam-5503	516	3	)	)	PUNCT
ejpam-5503	517	1	+	+	CCONJ
ejpam-5503	517	2	λγ	λγ	X
ejpam-5503	517	3	(	(	PUNCT
ejpam-5503	517	4	1	1	NUM
ejpam-5503	517	5	−	−	PROPN
ejpam-5503	517	6	γ	γ	X
ejpam-5503	517	7	)	)	PUNCT
ejpam-5503	517	8	pu	pu	PROPN
ejpam-5503	517	9	+	+	PROPN
ejpam-5503	517	10	l	l	NOUN
ejpam-5503	517	11	)	)	PUNCT
ejpam-5503	517	12	rbγ(x	rbγ(x	ADP
ejpam-5503	517	13	)	)	PUNCT
ejpam-5503	517	14	=	=	NOUN
ejpam-5503	517	15	(	(	PUNCT
ejpam-5503	517	16	1	1	NUM
ejpam-5503	517	17	−	−	NOUN
ejpam-5503	517	18	λγ	λγ	NOUN
ejpam-5503	517	19	(	(	PUNCT
ejpam-5503	517	20	3	3	NUM
ejpam-5503	517	21	−	−	PROPN
ejpam-5503	517	22	2γ	2γ	NOUN
ejpam-5503	517	23	)	)	PUNCT
ejpam-5503	517	24	rbγ(x	rbγ(x	ADV
ejpam-5503	517	25	)	)	PUNCT
ejpam-5503	518	1	+	+	NUM
ejpam-5503	518	2	λγ	λγ	NOUN
ejpam-5503	518	3	(	(	PUNCT
ejpam-5503	518	4	1	1	NUM
ejpam-5503	518	5	−	−	PROPN
ejpam-5503	518	6	γ	γ	PROPN
ejpam-5503	518	7	)	)	PUNCT
ejpam-5503	518	8	pu	pu	PROPN
ejpam-5503	518	9	(	(	PUNCT
ejpam-5503	518	10	rbγ(x	rbγ(x	ADV
ejpam-5503	518	11	)	)	PUNCT
ejpam-5503	518	12	)	)	PUNCT
ejpam-5503	519	1	+	+	CCONJ
ejpam-5503	519	2	l	l	NOUN
ejpam-5503	519	3	(	(	PUNCT
ejpam-5503	519	4	rbγ(x	rbγ(x	ADV
ejpam-5503	519	5	)	)	PUNCT
ejpam-5503	519	6	)	)	PUNCT
ejpam-5503	520	1	=	=	PUNCT
ejpam-5503	521	1	(	(	PUNCT
ejpam-5503	521	2	1	1	NUM
ejpam-5503	521	3	−	−	NOUN
ejpam-5503	521	4	λγ	λγ	NOUN
ejpam-5503	521	5	(	(	PUNCT
ejpam-5503	521	6	3	3	NUM
ejpam-5503	521	7	−	−	PROPN
ejpam-5503	521	8	2γ	2γ	NOUN
ejpam-5503	521	9	)	)	PUNCT
ejpam-5503	521	10	)	)	PUNCT
ejpam-5503	521	11	(	(	PUNCT
ejpam-5503	521	12	2γ	2γ	NUM
ejpam-5503	521	13	−	−	PROPN
ejpam-5503	521	14	1	1	NUM
ejpam-5503	521	15	)	)	PUNCT
ejpam-5503	521	16	x	x	SYM
ejpam-5503	521	17	−	−	PROPN
ejpam-5503	521	18	γ	γ	X
ejpam-5503	521	19	(	(	PUNCT
ejpam-5503	521	20	1	1	NUM
ejpam-5503	521	21	+	+	NUM
ejpam-5503	521	22	λ	λ	X
ejpam-5503	521	23	−	−	X
ejpam-5503	521	24	λγ	λγ	NOUN
ejpam-5503	521	25	(	(	PUNCT
ejpam-5503	521	26	5	5	NUM
ejpam-5503	521	27	−	−	PROPN
ejpam-5503	521	28	3γ	3γ	NUM
ejpam-5503	521	29	)	)	PUNCT
ejpam-5503	521	30	)	)	PUNCT
ejpam-5503	522	1	pu	pu	PROPN
ejpam-5503	522	2	x	x	PUNCT
ejpam-5503	523	1	+	+	NUM
ejpam-5503	523	2	2λγ	2λγ	ADJ
ejpam-5503	523	3	(	(	PUNCT
ejpam-5503	523	4	1	1	NUM
ejpam-5503	523	5	−	−	PROPN
ejpam-5503	523	6	γ	γ	NOUN
ejpam-5503	523	7	)	)	PUNCT
ejpam-5503	523	8	(	(	PUNCT
ejpam-5503	523	9	a	a	DET
ejpam-5503	523	10	+	+	X
ejpam-5503	523	11	w	w	NOUN
ejpam-5503	523	12	)	)	PUNCT
ejpam-5503	524	1	+	+	CCONJ
ejpam-5503	524	2	(	(	PUNCT
ejpam-5503	524	3	1	1	NUM
ejpam-5503	524	4	−	−	NOUN
ejpam-5503	524	5	λγ	λγ	NOUN
ejpam-5503	524	6	(	(	PUNCT
ejpam-5503	524	7	3	3	NUM
ejpam-5503	524	8	−	−	PROPN
ejpam-5503	524	9	2γ	2γ	NOUN
ejpam-5503	524	10	)	)	PUNCT
ejpam-5503	524	11	)	)	PUNCT
ejpam-5503	524	12	(	(	PUNCT
ejpam-5503	524	13	2	2	NUM
ejpam-5503	524	14	(	(	PUNCT
ejpam-5503	524	15	1	1	NUM
ejpam-5503	524	16	−	−	PROPN
ejpam-5503	524	17	γ	γ	NOUN
ejpam-5503	524	18	)	)	PUNCT
ejpam-5503	525	1	w	w	ADP
ejpam-5503	525	2	−	−	PROPN
ejpam-5503	525	3	2γa	2γa	NOUN
ejpam-5503	525	4	)	)	PUNCT
ejpam-5503	526	1	+	+	CCONJ
ejpam-5503	526	2	2λγ	2λγ	ADJ
ejpam-5503	526	3	(	(	PUNCT
ejpam-5503	526	4	1	1	NUM
ejpam-5503	526	5	−	−	PROPN
ejpam-5503	526	6	γ	γ	NOUN
ejpam-5503	526	7	)	)	PUNCT
ejpam-5503	526	8	2	2	NUM
ejpam-5503	526	9	pu	pu	PROPN
ejpam-5503	526	10	w	w	PROPN
ejpam-5503	527	1	+	+	NUM
ejpam-5503	528	1	λγv	λγv	X
ejpam-5503	529	1	=	=	SYM
ejpam-5503	530	1	(	(	PUNCT
ejpam-5503	530	2	1	1	NUM
ejpam-5503	530	3	−	−	PROPN
ejpam-5503	530	4	2γ	2γ	NOUN
ejpam-5503	530	5	)	)	PUNCT
ejpam-5503	530	6	(	(	PUNCT
ejpam-5503	530	7	(	(	PUNCT
ejpam-5503	530	8	λγ(3	λγ(3	X
ejpam-5503	530	9	−	−	PROPN
ejpam-5503	530	10	2γ)−	2γ)−	NUM
ejpam-5503	530	11	1	1	NUM
ejpam-5503	530	12	)	)	PUNCT
ejpam-5503	530	13	x	x	SYM
ejpam-5503	531	1	−	−	PROPN
ejpam-5503	531	2	γ	γ	X
ejpam-5503	531	3	(	(	PUNCT
ejpam-5503	531	4	1	1	NUM
ejpam-5503	531	5	+	+	NUM
ejpam-5503	531	6	λ	λ	X
ejpam-5503	531	7	−	−	X
ejpam-5503	531	8	λγ	λγ	NOUN
ejpam-5503	531	9	(	(	PUNCT
ejpam-5503	531	10	5	5	NUM
ejpam-5503	531	11	−	−	PROPN
ejpam-5503	531	12	3γ	3γ	NUM
ejpam-5503	531	13	)	)	PUNCT
ejpam-5503	531	14	)	)	PUNCT
ejpam-5503	532	1	pu	pu	PROPN
ejpam-5503	532	2	x	x	PUNCT
ejpam-5503	533	1	+	+	NUM
ejpam-5503	533	2	λγv	λγv	X
ejpam-5503	533	3	+	+	CCONJ
ejpam-5503	533	4	2	2	NUM
ejpam-5503	533	5	(	(	PUNCT
ejpam-5503	533	6	λγ2	λγ2	INTJ
ejpam-5503	533	7	−	−	PROPN
ejpam-5503	534	1	(	(	PUNCT
ejpam-5503	534	2	2λ	2λ	NOUN
ejpam-5503	534	3	+	+	CCONJ
ejpam-5503	534	4	1	1	X
ejpam-5503	534	5	)	)	PUNCT
ejpam-5503	534	6	γ	γ	NOUN
ejpam-5503	534	7	+	+	NOUN
ejpam-5503	534	8	1	1	NUM
ejpam-5503	534	9	)	)	PUNCT
ejpam-5503	534	10	w	w	ADP
ejpam-5503	534	11	−	−	NOUN
ejpam-5503	534	12	2γ	2γ	NOUN
ejpam-5503	534	13	(	(	PUNCT
ejpam-5503	534	14	λ	λ	X
ejpam-5503	534	15	(	(	PUNCT
ejpam-5503	534	16	3γ	3γ	NUM
ejpam-5503	534	17	+	+	CCONJ
ejpam-5503	534	18	4	4	NUM
ejpam-5503	534	19	)	)	PUNCT
ejpam-5503	535	1	+	+	CCONJ
ejpam-5503	535	2	1	1	X
ejpam-5503	535	3	)	)	PUNCT
ejpam-5503	535	4	a	a	DET
ejpam-5503	535	5	+	+	X
ejpam-5503	535	6	2λγ	2λγ	ADJ
ejpam-5503	535	7	(	(	PUNCT
ejpam-5503	535	8	1	1	NUM
ejpam-5503	535	9	−	−	PROPN
ejpam-5503	535	10	γ	γ	NOUN
ejpam-5503	535	11	)	)	PUNCT
ejpam-5503	535	12	2	2	NUM
ejpam-5503	535	13	pu	pu	PROPN
ejpam-5503	535	14	w.	w.	PROPN
ejpam-5503	535	15	(	(	PUNCT
ejpam-5503	535	16	vi	vi	PROPN
ejpam-5503	535	17	):	):	PUNCT
ejpam-5503	535	18	this	this	PRON
ejpam-5503	535	19	is	be	AUX
ejpam-5503	535	20	derived	derive	VERB
ejpam-5503	535	21	from	from	ADP
ejpam-5503	535	22	(	(	PUNCT
ejpam-5503	535	23	iv	iv	X
ejpam-5503	535	24	)	)	PUNCT
ejpam-5503	535	25	and	and	CCONJ
ejpam-5503	535	26	(	(	PUNCT
ejpam-5503	535	27	v	v	NOUN
ejpam-5503	535	28	)	)	PUNCT
ejpam-5503	535	29	.	.	PUNCT
ejpam-5503	536	1	(	(	PUNCT
ejpam-5503	536	2	vii	vii	PROPN
ejpam-5503	536	3	):	):	PUNCT
ejpam-5503	536	4	by	by	ADP
ejpam-5503	536	5	using	use	VERB
ejpam-5503	536	6	example	example	NOUN
ejpam-5503	536	7	1(iv	1(iv	NUM
ejpam-5503	536	8	)	)	PUNCT
ejpam-5503	536	9	and	and	CCONJ
ejpam-5503	536	10	(	(	PUNCT
ejpam-5503	536	11	ii	ii	NOUN
ejpam-5503	536	12	)	)	PUNCT
ejpam-5503	536	13	we	we	PRON
ejpam-5503	536	14	have	have	VERB
ejpam-5503	536	15	rbγ	rbγ	NOUN
ejpam-5503	536	16	tbγ	tbγ	NOUN
ejpam-5503	536	17	,	,	PUNCT
ejpam-5503	536	18	aγ	aγ	PRON
ejpam-5503	536	19	(	(	PUNCT
ejpam-5503	536	20	x	x	NOUN
ejpam-5503	536	21	)	)	PUNCT
ejpam-5503	536	22	=	=	SYM
ejpam-5503	536	23	(	(	PUNCT
ejpam-5503	536	24	(	(	PUNCT
ejpam-5503	536	25	2γ	2γ	NUM
ejpam-5503	536	26	−	−	PROPN
ejpam-5503	536	27	1	1	X
ejpam-5503	536	28	)	)	PUNCT
ejpam-5503	536	29	id−γ	id−γ	ADJ
ejpam-5503	536	30	pu	pu	PROPN
ejpam-5503	536	31	−2γa	−2γa	PUNCT
ejpam-5503	536	32	+	+	CCONJ
ejpam-5503	536	33	2	2	NUM
ejpam-5503	536	34	(	(	PUNCT
ejpam-5503	536	35	1	1	NUM
ejpam-5503	536	36	−	−	PROPN
ejpam-5503	536	37	γ	γ	NOUN
ejpam-5503	536	38	)	)	PUNCT
ejpam-5503	536	39	w	w	PROPN
ejpam-5503	536	40	)	)	PUNCT
ejpam-5503	536	41	tbγ	tbγ	NOUN
ejpam-5503	536	42	,	,	PUNCT
ejpam-5503	536	43	aγ	aγ	PRON
ejpam-5503	536	44	(	(	PUNCT
ejpam-5503	536	45	x	x	NOUN
ejpam-5503	536	46	)	)	PUNCT
ejpam-5503	536	47	=	=	SYM
ejpam-5503	536	48	(	(	PUNCT
ejpam-5503	536	49	2γ	2γ	NUM
ejpam-5503	536	50	−	−	PROPN
ejpam-5503	536	51	1	1	X
ejpam-5503	536	52	)	)	PUNCT
ejpam-5503	536	53	tbγ	tbγ	NOUN
ejpam-5503	536	54	,	,	PUNCT
ejpam-5503	536	55	aγ	aγ	PRON
ejpam-5503	536	56	(	(	PUNCT
ejpam-5503	536	57	x)−	x)−	PROPN
ejpam-5503	536	58	γ	γ	PROPN
ejpam-5503	536	59	pu	pu	PROPN
ejpam-5503	536	60	(	(	PUNCT
ejpam-5503	536	61	tbγ	tbγ	PROPN
ejpam-5503	536	62	,	,	PUNCT
ejpam-5503	536	63	aγ	aγ	PRON
ejpam-5503	536	64	(	(	PUNCT
ejpam-5503	536	65	x	x	NOUN
ejpam-5503	536	66	)	)	PUNCT
ejpam-5503	536	67	)	)	PUNCT
ejpam-5503	537	1	−	−	PROPN
ejpam-5503	538	1	2γa	2γa	NOUN
ejpam-5503	538	2	+	+	CCONJ
ejpam-5503	538	3	2	2	NUM
ejpam-5503	538	4	(	(	PUNCT
ejpam-5503	538	5	1	1	NUM
ejpam-5503	538	6	−	−	PROPN
ejpam-5503	538	7	γ	γ	NOUN
ejpam-5503	538	8	)	)	PUNCT
ejpam-5503	538	9	w	w	PROPN
ejpam-5503	539	1	=	=	PUNCT
ejpam-5503	539	2	(	(	PUNCT
ejpam-5503	539	3	2γ	2γ	NUM
ejpam-5503	539	4	−	−	PROPN
ejpam-5503	539	5	1	1	NUM
ejpam-5503	539	6	)	)	PUNCT
ejpam-5503	540	1	[	[	X
ejpam-5503	540	2	(	(	PUNCT
ejpam-5503	540	3	1	1	NUM
ejpam-5503	540	4	−	−	NOUN
ejpam-5503	540	5	λγ	λγ	NOUN
ejpam-5503	540	6	(	(	PUNCT
ejpam-5503	540	7	3	3	NUM
ejpam-5503	540	8	−	−	PROPN
ejpam-5503	540	9	2γ	2γ	NOUN
ejpam-5503	540	10	)	)	PUNCT
ejpam-5503	540	11	)	)	PUNCT
ejpam-5503	541	1	x	x	X
ejpam-5503	542	1	+	+	PUNCT
ejpam-5503	542	2	λγ	λγ	X
ejpam-5503	542	3	(	(	PUNCT
ejpam-5503	542	4	1	1	NUM
ejpam-5503	542	5	−	−	PROPN
ejpam-5503	542	6	γ	γ	X
ejpam-5503	542	7	)	)	PUNCT
ejpam-5503	542	8	pu	pu	PROPN
ejpam-5503	542	9	x	x	PUNCT
ejpam-5503	543	1	+	+	NUM
ejpam-5503	543	2	l	l	NOUN
ejpam-5503	543	3	]	]	PUNCT
ejpam-5503	544	1	−	−	PROPN
ejpam-5503	544	2	γ	γ	X
ejpam-5503	544	3	pu	pu	PROPN
ejpam-5503	545	1	[	[	X
ejpam-5503	545	2	(	(	PUNCT
ejpam-5503	545	3	1	1	NUM
ejpam-5503	545	4	−	−	NOUN
ejpam-5503	545	5	λγ	λγ	NOUN
ejpam-5503	545	6	(	(	PUNCT
ejpam-5503	545	7	3	3	NUM
ejpam-5503	545	8	−	−	PROPN
ejpam-5503	545	9	2γ	2γ	NOUN
ejpam-5503	545	10	)	)	PUNCT
ejpam-5503	545	11	)	)	PUNCT
ejpam-5503	545	12	x	x	X
ejpam-5503	546	1	+	+	PUNCT
ejpam-5503	546	2	λγ	λγ	X
ejpam-5503	546	3	(	(	PUNCT
ejpam-5503	546	4	1	1	NUM
ejpam-5503	546	5	−	−	PROPN
ejpam-5503	546	6	γ	γ	X
ejpam-5503	546	7	)	)	PUNCT
ejpam-5503	546	8	pu	pu	PROPN
ejpam-5503	546	9	x	x	PUNCT
ejpam-5503	547	1	+	+	NUM
ejpam-5503	547	2	l	l	NOUN
ejpam-5503	547	3	]	]	PUNCT
ejpam-5503	547	4	−	−	PROPN
ejpam-5503	547	5	2γa	2γa	NOUN
ejpam-5503	547	6	+	+	CCONJ
ejpam-5503	547	7	2	2	NUM
ejpam-5503	547	8	(	(	PUNCT
ejpam-5503	547	9	1	1	NUM
ejpam-5503	547	10	−	−	PROPN
ejpam-5503	547	11	γ	γ	NOUN
ejpam-5503	547	12	)	)	PUNCT
ejpam-5503	547	13	w	w	PROPN
ejpam-5503	547	14	s.	s.	PROPN
ejpam-5503	547	15	th	th	PROPN
ejpam-5503	547	16	.	.	PUNCT
ejpam-5503	548	1	alwadani	alwadani	PROPN
ejpam-5503	548	2	/	/	SYM
ejpam-5503	548	3	eur	eur	PROPN
ejpam-5503	548	4	.	.	PUNCT
ejpam-5503	549	1	j.	j.	PROPN
ejpam-5503	549	2	pure	pure	PROPN
ejpam-5503	549	3	appl	appl	PROPN
ejpam-5503	549	4	.	.	PROPN
ejpam-5503	549	5	math	math	PROPN
ejpam-5503	549	6	,	,	PUNCT
ejpam-5503	549	7	18	18	NUM
ejpam-5503	549	8	(	(	PUNCT
ejpam-5503	549	9	1	1	NUM
ejpam-5503	549	10	)	)	PUNCT
ejpam-5503	549	11	(	(	PUNCT
ejpam-5503	549	12	2025	2025	NUM
ejpam-5503	549	13	)	)	PUNCT
ejpam-5503	549	14	,	,	PUNCT
ejpam-5503	549	15	5503	5503	NUM
ejpam-5503	549	16	15	15	NUM
ejpam-5503	549	17	of	of	ADP
ejpam-5503	549	18	16	16	NUM
ejpam-5503	549	19	=	=	SYM
ejpam-5503	549	20	(	(	PUNCT
ejpam-5503	549	21	2γ	2γ	NUM
ejpam-5503	549	22	−	−	PROPN
ejpam-5503	549	23	1	1	NUM
ejpam-5503	549	24	)	)	PUNCT
ejpam-5503	550	1	[	[	X
ejpam-5503	550	2	(	(	PUNCT
ejpam-5503	550	3	1	1	NUM
ejpam-5503	550	4	−	−	NOUN
ejpam-5503	550	5	λγ	λγ	NOUN
ejpam-5503	550	6	(	(	PUNCT
ejpam-5503	550	7	3	3	NUM
ejpam-5503	550	8	−	−	PROPN
ejpam-5503	550	9	2γ	2γ	NOUN
ejpam-5503	550	10	)	)	PUNCT
ejpam-5503	550	11	)	)	PUNCT
ejpam-5503	551	1	x	x	X
ejpam-5503	552	1	+	+	PUNCT
ejpam-5503	552	2	λγ	λγ	X
ejpam-5503	552	3	(	(	PUNCT
ejpam-5503	552	4	1	1	NUM
ejpam-5503	552	5	−	−	PROPN
ejpam-5503	552	6	γ	γ	X
ejpam-5503	552	7	)	)	PUNCT
ejpam-5503	552	8	pu	pu	PROPN
ejpam-5503	552	9	x	x	PUNCT
ejpam-5503	553	1	]	]	X
ejpam-5503	553	2	−	−	X
ejpam-5503	553	3	γ	γ	X
ejpam-5503	553	4	[	[	X
ejpam-5503	553	5	(	(	PUNCT
ejpam-5503	553	6	1	1	NUM
ejpam-5503	553	7	−	−	NOUN
ejpam-5503	553	8	λγ	λγ	NOUN
ejpam-5503	553	9	(	(	PUNCT
ejpam-5503	553	10	3	3	NUM
ejpam-5503	553	11	−	−	PROPN
ejpam-5503	553	12	2γ	2γ	NOUN
ejpam-5503	553	13	)	)	PUNCT
ejpam-5503	553	14	)	)	PUNCT
ejpam-5503	554	1	pu	pu	PROPN
ejpam-5503	554	2	x	x	PUNCT
ejpam-5503	555	1	+	+	PUNCT
ejpam-5503	555	2	λγ	λγ	NOUN
ejpam-5503	555	3	(	(	PUNCT
ejpam-5503	555	4	1	1	NUM
ejpam-5503	555	5	−	−	PROPN
ejpam-5503	555	6	γ	γ	X
ejpam-5503	555	7	)	)	PUNCT
ejpam-5503	555	8	pu	pu	PROPN
ejpam-5503	555	9	x	x	PUNCT
ejpam-5503	556	1	]	]	X
ejpam-5503	556	2	+	+	CCONJ
ejpam-5503	556	3	(	(	PUNCT
ejpam-5503	556	4	2γ	2γ	NUM
ejpam-5503	556	5	−	−	PROPN
ejpam-5503	556	6	1	1	X
ejpam-5503	556	7	)	)	PUNCT
ejpam-5503	556	8	l	l	NOUN
ejpam-5503	556	9	−	−	NOUN
ejpam-5503	556	10	γ	γ	PROPN
ejpam-5503	556	11	pu	pu	PROPN
ejpam-5503	556	12	l	l	PROPN
ejpam-5503	556	13	−	−	PROPN
ejpam-5503	556	14	2γa	2γa	NOUN
ejpam-5503	556	15	+	+	CCONJ
ejpam-5503	556	16	2	2	NUM
ejpam-5503	556	17	(	(	PUNCT
ejpam-5503	556	18	1	1	NUM
ejpam-5503	556	19	−	−	PROPN
ejpam-5503	556	20	γ	γ	NOUN
ejpam-5503	556	21	)	)	PUNCT
ejpam-5503	556	22	w	w	PROPN
ejpam-5503	557	1	=	=	PUNCT
ejpam-5503	557	2	(	(	PUNCT
ejpam-5503	557	3	2γ	2γ	NUM
ejpam-5503	557	4	−	−	PROPN
ejpam-5503	557	5	1	1	NUM
ejpam-5503	557	6	)	)	PUNCT
ejpam-5503	557	7	(	(	PUNCT
ejpam-5503	557	8	1	1	NUM
ejpam-5503	557	9	−	−	NOUN
ejpam-5503	557	10	λγ	λγ	NOUN
ejpam-5503	557	11	(	(	PUNCT
ejpam-5503	557	12	3	3	NUM
ejpam-5503	557	13	−	−	PROPN
ejpam-5503	557	14	2γ	2γ	NOUN
ejpam-5503	557	15	)	)	PUNCT
ejpam-5503	557	16	)	)	PUNCT
ejpam-5503	558	1	x	x	PUNCT
ejpam-5503	559	1	+	+	CCONJ
ejpam-5503	559	2	γ	γ	X
ejpam-5503	559	3	(	(	PUNCT
ejpam-5503	559	4	λγ	λγ	PROPN
ejpam-5503	559	5	(	(	PUNCT
ejpam-5503	559	6	5	5	NUM
ejpam-5503	559	7	−	−	PROPN
ejpam-5503	559	8	3γ	3γ	NUM
ejpam-5503	559	9	)	)	PUNCT
ejpam-5503	559	10	−	−	PROPN
ejpam-5503	560	1	λ	λ	INTJ
ejpam-5503	560	2	−	−	NOUN
ejpam-5503	560	3	1	1	NUM
ejpam-5503	560	4	)	)	PUNCT
ejpam-5503	560	5	pu	pu	NOUN
ejpam-5503	560	6	x	x	PUNCT
ejpam-5503	561	1	−	−	PRON
ejpam-5503	561	2	2γ	2γ	NOUN
ejpam-5503	561	3	(	(	PUNCT
ejpam-5503	561	4	λγ	λγ	NOUN
ejpam-5503	561	5	(	(	PUNCT
ejpam-5503	561	6	2γ	2γ	NUM
ejpam-5503	561	7	−	−	PROPN
ejpam-5503	561	8	3	3	NUM
ejpam-5503	561	9	)	)	PUNCT
ejpam-5503	561	10	+	+	CCONJ
ejpam-5503	561	11	λ	λ	X
ejpam-5503	561	12	+	+	NOUN
ejpam-5503	561	13	1	1	NUM
ejpam-5503	561	14	)	)	PUNCT
ejpam-5503	561	15	a	a	DET
ejpam-5503	561	16	−	−	PROPN
ejpam-5503	561	17	2	2	NUM
ejpam-5503	561	18	(	(	PUNCT
ejpam-5503	561	19	γ	γ	X
ejpam-5503	561	20	(	(	PUNCT
ejpam-5503	561	21	λγ	λγ	PROPN
ejpam-5503	561	22	(	(	PUNCT
ejpam-5503	561	23	2γ	2γ	NUM
ejpam-5503	561	24	−	−	PROPN
ejpam-5503	561	25	3	3	NUM
ejpam-5503	561	26	)	)	PUNCT
ejpam-5503	561	27	+	+	CCONJ
ejpam-5503	561	28	1	1	X
ejpam-5503	561	29	)	)	PUNCT
ejpam-5503	561	30	−	−	PROPN
ejpam-5503	561	31	1	1	NUM
ejpam-5503	561	32	)	)	PUNCT
ejpam-5503	561	33	w	w	PROPN
ejpam-5503	562	1	+	+	NUM
ejpam-5503	562	2	λγ	λγ	X
ejpam-5503	562	3	(	(	PUNCT
ejpam-5503	562	4	2γ	2γ	NUM
ejpam-5503	562	5	−	−	PROPN
ejpam-5503	562	6	1	1	X
ejpam-5503	562	7	)	)	PUNCT
ejpam-5503	562	8	v	v	ADP
ejpam-5503	562	9	−	−	PROPN
ejpam-5503	562	10	2λγ2(1	2λγ2(1	NUM
ejpam-5503	562	11	−	−	PROPN
ejpam-5503	562	12	γ	γ	PROPN
ejpam-5503	562	13	)	)	PUNCT
ejpam-5503	562	14	pu	pu	PROPN
ejpam-5503	562	15	w.	w.	PROPN
ejpam-5503	562	16	(	(	PUNCT
ejpam-5503	562	17	viii	viii	ADJ
ejpam-5503	562	18	):	):	PUNCT
ejpam-5503	562	19	utilizing	utilize	VERB
ejpam-5503	562	20	example	example	NOUN
ejpam-5503	562	21	1(iv	1(iv	NUM
ejpam-5503	562	22	)	)	PUNCT
ejpam-5503	562	23	and	and	CCONJ
ejpam-5503	562	24	(	(	PUNCT
ejpam-5503	562	25	ii	ii	NOUN
ejpam-5503	562	26	)	)	PUNCT
ejpam-5503	562	27	yields	yield	NOUN
ejpam-5503	562	28	taγ	taγ	NOUN
ejpam-5503	562	29	,	,	PUNCT
ejpam-5503	562	30	bγ	bγ	ADP
ejpam-5503	562	31	rbγ(x	rbγ(x	ADV
ejpam-5503	562	32	)	)	PUNCT
ejpam-5503	562	33	=	=	PRON
ejpam-5503	562	34	(	(	PUNCT
ejpam-5503	562	35	1	1	NUM
ejpam-5503	562	36	−	−	NOUN
ejpam-5503	562	37	λγ	λγ	NOUN
ejpam-5503	562	38	(	(	PUNCT
ejpam-5503	562	39	3	3	NUM
ejpam-5503	562	40	−	−	PROPN
ejpam-5503	562	41	2γ	2γ	NOUN
ejpam-5503	562	42	)	)	PUNCT
ejpam-5503	562	43	id+λγ	id+λγ	NOUN
ejpam-5503	562	44	(	(	PUNCT
ejpam-5503	562	45	1	1	NUM
ejpam-5503	562	46	−	−	PROPN
ejpam-5503	562	47	γ	γ	X
ejpam-5503	562	48	)	)	PUNCT
ejpam-5503	562	49	pu	pu	PROPN
ejpam-5503	563	1	+	+	PROPN
ejpam-5503	563	2	k	k	PROPN
ejpam-5503	563	3	)	)	PUNCT
ejpam-5503	563	4	rbγ(x	rbγ(x	ADP
ejpam-5503	563	5	)	)	PUNCT
ejpam-5503	563	6	=	=	NOUN
ejpam-5503	563	7	(	(	PUNCT
ejpam-5503	563	8	1	1	NUM
ejpam-5503	563	9	−	−	NOUN
ejpam-5503	564	1	λγ	λγ	NOUN
ejpam-5503	564	2	(	(	PUNCT
ejpam-5503	564	3	3	3	NUM
ejpam-5503	564	4	−	−	PROPN
ejpam-5503	564	5	2γ	2γ	NOUN
ejpam-5503	564	6	)	)	PUNCT
ejpam-5503	564	7	)	)	PUNCT
ejpam-5503	565	1	rbγ(x	rbγ(x	ADV
ejpam-5503	565	2	)	)	PUNCT
ejpam-5503	565	3	+	+	NUM
ejpam-5503	565	4	λγ	λγ	NOUN
ejpam-5503	565	5	(	(	PUNCT
ejpam-5503	565	6	1	1	NUM
ejpam-5503	565	7	−	−	PROPN
ejpam-5503	565	8	γ	γ	X
ejpam-5503	565	9	)	)	PUNCT
ejpam-5503	565	10	pu	pu	PROPN
ejpam-5503	565	11	rbγ(x	rbγ(x	PROPN
ejpam-5503	565	12	)	)	PUNCT
ejpam-5503	566	1	+	+	CCONJ
ejpam-5503	566	2	k	k	X
ejpam-5503	566	3	=	=	SYM
ejpam-5503	566	4	(	(	PUNCT
ejpam-5503	566	5	1	1	NUM
ejpam-5503	566	6	−	−	NOUN
ejpam-5503	566	7	λγ	λγ	NOUN
ejpam-5503	566	8	(	(	PUNCT
ejpam-5503	566	9	3	3	NUM
ejpam-5503	566	10	−	−	PROPN
ejpam-5503	566	11	2γ	2γ	NOUN
ejpam-5503	566	12	)	)	PUNCT
ejpam-5503	566	13	)	)	PUNCT
ejpam-5503	566	14	(	(	PUNCT
ejpam-5503	566	15	(	(	PUNCT
ejpam-5503	566	16	2γ	2γ	NUM
ejpam-5503	566	17	−	−	PROPN
ejpam-5503	566	18	1	1	NUM
ejpam-5503	566	19	)	)	PUNCT
ejpam-5503	566	20	x	x	SYM
ejpam-5503	566	21	−	−	PROPN
ejpam-5503	566	22	γ	γ	X
ejpam-5503	566	23	pu	pu	PROPN
ejpam-5503	566	24	x	x	PUNCT
ejpam-5503	566	25	)	)	PUNCT
ejpam-5503	567	1	+	+	CCONJ
ejpam-5503	567	2	(	(	PUNCT
ejpam-5503	567	3	1	1	NUM
ejpam-5503	567	4	−	−	NOUN
ejpam-5503	567	5	λγ	λγ	NOUN
ejpam-5503	567	6	(	(	PUNCT
ejpam-5503	567	7	3	3	NUM
ejpam-5503	567	8	−	−	PROPN
ejpam-5503	567	9	2γ	2γ	NOUN
ejpam-5503	567	10	)	)	PUNCT
ejpam-5503	567	11	)	)	PUNCT
ejpam-5503	567	12	(	(	PUNCT
ejpam-5503	567	13	2	2	NUM
ejpam-5503	567	14	(	(	PUNCT
ejpam-5503	567	15	1	1	NUM
ejpam-5503	567	16	−	−	PROPN
ejpam-5503	567	17	γ	γ	NOUN
ejpam-5503	567	18	)	)	PUNCT
ejpam-5503	568	1	w	w	ADP
ejpam-5503	568	2	−	−	PROPN
ejpam-5503	568	3	2γa	2γa	NOUN
ejpam-5503	568	4	)	)	PUNCT
ejpam-5503	569	1	+	+	CCONJ
ejpam-5503	569	2	λγ	λγ	X
ejpam-5503	569	3	(	(	PUNCT
ejpam-5503	569	4	1	1	NUM
ejpam-5503	569	5	−	−	PROPN
ejpam-5503	569	6	γ	γ	PROPN
ejpam-5503	569	7	)	)	PUNCT
ejpam-5503	569	8	pu	pu	PROPN
ejpam-5503	569	9	(	(	PUNCT
ejpam-5503	569	10	(	(	PUNCT
ejpam-5503	569	11	2γ	2γ	NUM
ejpam-5503	569	12	−	−	PROPN
ejpam-5503	569	13	1	1	NUM
ejpam-5503	569	14	)	)	PUNCT
ejpam-5503	569	15	x	x	SYM
ejpam-5503	569	16	−	−	PROPN
ejpam-5503	569	17	γ	γ	X
ejpam-5503	569	18	pu	pu	PROPN
ejpam-5503	569	19	x	x	PUNCT
ejpam-5503	569	20	)	)	PUNCT
ejpam-5503	570	1	+	+	CCONJ
ejpam-5503	570	2	λγ	λγ	NOUN
ejpam-5503	570	3	(	(	PUNCT
ejpam-5503	570	4	1	1	NUM
ejpam-5503	570	5	−	−	PROPN
ejpam-5503	570	6	γ	γ	PROPN
ejpam-5503	570	7	)	)	PUNCT
ejpam-5503	570	8	pu	pu	PROPN
ejpam-5503	570	9	(	(	PUNCT
ejpam-5503	570	10	2	2	NUM
ejpam-5503	570	11	(	(	PUNCT
ejpam-5503	570	12	1	1	NUM
ejpam-5503	570	13	−	−	PROPN
ejpam-5503	570	14	γ	γ	NOUN
ejpam-5503	570	15	)	)	PUNCT
ejpam-5503	571	1	w	w	ADP
ejpam-5503	571	2	−	−	PROPN
ejpam-5503	571	3	2γa	2γa	NOUN
ejpam-5503	571	4	)	)	PUNCT
ejpam-5503	572	1	+	+	CCONJ
ejpam-5503	572	2	k	k	X
ejpam-5503	572	3	=	=	SYM
ejpam-5503	572	4	(	(	PUNCT
ejpam-5503	572	5	2γ	2γ	NUM
ejpam-5503	572	6	−	−	PROPN
ejpam-5503	572	7	1	1	NUM
ejpam-5503	572	8	)	)	PUNCT
ejpam-5503	572	9	(	(	PUNCT
ejpam-5503	572	10	1	1	NUM
ejpam-5503	572	11	−	−	NOUN
ejpam-5503	572	12	λγ	λγ	NOUN
ejpam-5503	572	13	(	(	PUNCT
ejpam-5503	572	14	3	3	NUM
ejpam-5503	572	15	−	−	PROPN
ejpam-5503	572	16	2γ	2γ	NOUN
ejpam-5503	572	17	)	)	PUNCT
ejpam-5503	572	18	)	)	PUNCT
ejpam-5503	573	1	x	x	PUNCT
ejpam-5503	574	1	+	+	CCONJ
ejpam-5503	574	2	γ	γ	X
ejpam-5503	574	3	(	(	PUNCT
ejpam-5503	574	4	λγ	λγ	PROPN
ejpam-5503	574	5	(	(	PUNCT
ejpam-5503	574	6	5	5	NUM
ejpam-5503	574	7	−	−	PROPN
ejpam-5503	574	8	3γ	3γ	NUM
ejpam-5503	574	9	)	)	PUNCT
ejpam-5503	574	10	−	−	PROPN
ejpam-5503	575	1	λ	λ	INTJ
ejpam-5503	575	2	−	−	NOUN
ejpam-5503	575	3	1	1	NUM
ejpam-5503	575	4	)	)	PUNCT
ejpam-5503	575	5	pu	pu	NOUN
ejpam-5503	575	6	x	x	PUNCT
ejpam-5503	576	1	−	−	PRON
ejpam-5503	576	2	2γ	2γ	NOUN
ejpam-5503	576	3	(	(	PUNCT
ejpam-5503	576	4	λγ	λγ	NOUN
ejpam-5503	576	5	(	(	PUNCT
ejpam-5503	576	6	2γ	2γ	NUM
ejpam-5503	576	7	−	−	PROPN
ejpam-5503	576	8	3	3	NUM
ejpam-5503	576	9	)	)	PUNCT
ejpam-5503	576	10	+	+	CCONJ
ejpam-5503	576	11	λ	λ	X
ejpam-5503	576	12	+	+	NOUN
ejpam-5503	576	13	1	1	NUM
ejpam-5503	576	14	)	)	PUNCT
ejpam-5503	576	15	a	a	DET
ejpam-5503	576	16	−	−	PROPN
ejpam-5503	576	17	2	2	NUM
ejpam-5503	576	18	(	(	PUNCT
ejpam-5503	576	19	γ	γ	X
ejpam-5503	576	20	(	(	PUNCT
ejpam-5503	576	21	λγ	λγ	PROPN
ejpam-5503	576	22	(	(	PUNCT
ejpam-5503	576	23	2γ	2γ	NUM
ejpam-5503	576	24	−	−	PROPN
ejpam-5503	576	25	3	3	NUM
ejpam-5503	576	26	)	)	PUNCT
ejpam-5503	576	27	+	+	CCONJ
ejpam-5503	576	28	λ	λ	X
ejpam-5503	576	29	+	+	NOUN
ejpam-5503	576	30	1	1	NUM
ejpam-5503	576	31	)	)	PUNCT
ejpam-5503	576	32	−	−	PROPN
ejpam-5503	576	33	1	1	NUM
ejpam-5503	576	34	)	)	PUNCT
ejpam-5503	576	35	w	w	PROPN
ejpam-5503	577	1	+	+	NUM
ejpam-5503	577	2	λγ	λγ	X
ejpam-5503	577	3	(	(	PUNCT
ejpam-5503	577	4	2γ	2γ	NUM
ejpam-5503	577	5	−	−	PROPN
ejpam-5503	577	6	1	1	X
ejpam-5503	577	7	)	)	PUNCT
ejpam-5503	577	8	v	v	ADP
ejpam-5503	577	9	−	−	PROPN
ejpam-5503	577	10	2λγ2(1	2λγ2(1	NUM
ejpam-5503	577	11	−	−	PROPN
ejpam-5503	577	12	γ	γ	PROPN
ejpam-5503	577	13	)	)	PUNCT
ejpam-5503	577	14	pu	pu	PROPN
ejpam-5503	577	15	w.	w.	PROPN
ejpam-5503	577	16	(	(	PUNCT
ejpam-5503	577	17	ix	ix	PROPN
ejpam-5503	577	18	):	):	PUNCT
ejpam-5503	577	19	it	it	PRON
ejpam-5503	577	20	follows	follow	VERB
ejpam-5503	577	21	from	from	ADP
ejpam-5503	577	22	(	(	PUNCT
ejpam-5503	577	23	vii	vii	PROPN
ejpam-5503	577	24	)	)	PUNCT
ejpam-5503	577	25	and	and	CCONJ
ejpam-5503	577	26	(	(	PUNCT
ejpam-5503	577	27	viii	viii	NOUN
ejpam-5503	577	28	)	)	PUNCT
ejpam-5503	577	29	.	.	PUNCT
ejpam-5503	578	1	■	■	PUNCT
ejpam-5503	578	2	references	reference	NOUN
ejpam-5503	578	3	[	[	X
ejpam-5503	578	4	1	1	NUM
ejpam-5503	578	5	]	]	PUNCT
ejpam-5503	578	6	salihah	salihah	ADJ
ejpam-5503	578	7	alwadani	alwadani	ADJ
ejpam-5503	578	8	,	,	PUNCT
ejpam-5503	578	9	heinz	heinz	PROPN
ejpam-5503	578	10	h	h	PROPN
ejpam-5503	578	11	bauschke	bauschke	PROPN
ejpam-5503	578	12	,	,	PUNCT
ejpam-5503	578	13	walaa	walaa	PROPN
ejpam-5503	578	14	m	m	VERB
ejpam-5503	578	15	moursi	moursi	ADJ
ejpam-5503	578	16	,	,	PUNCT
ejpam-5503	578	17	and	and	CCONJ
ejpam-5503	578	18	xianfu	xianfu	PROPN
ejpam-5503	578	19	wang	wang	PROPN
ejpam-5503	578	20	.	.	PUNCT
ejpam-5503	579	1	on	on	ADP
ejpam-5503	579	2	the	the	DET
ejpam-5503	579	3	asymptotic	asymptotic	ADJ
ejpam-5503	579	4	behaviour	behaviour	NOUN
ejpam-5503	579	5	of	of	ADP
ejpam-5503	579	6	the	the	DET
ejpam-5503	579	7	aragón	aragón	PROPN
ejpam-5503	579	8	artacho	artacho	ADJ
ejpam-5503	579	9	–	–	PUNCT
ejpam-5503	579	10	campoy	campoy	ADJ
ejpam-5503	579	11	algorithm	algorithm	NOUN
ejpam-5503	579	12	.	.	PUNCT
ejpam-5503	580	1	operations	operation	NOUN
ejpam-5503	580	2	research	research	NOUN
ejpam-5503	580	3	letters	letter	NOUN
ejpam-5503	580	4	,	,	PUNCT
ejpam-5503	580	5	46(6):585–587	46(6):585–587	PROPN
ejpam-5503	580	6	,	,	PUNCT
ejpam-5503	580	7	2018	2018	NUM
ejpam-5503	580	8	.	.	PUNCT
ejpam-5503	581	1	[	[	X
ejpam-5503	581	2	2	2	X
ejpam-5503	581	3	]	]	PUNCT
ejpam-5503	581	4	salihah	salihah	ADJ
ejpam-5503	581	5	thabet	thabet	ADJ
ejpam-5503	581	6	alwadani	alwadani	ADJ
ejpam-5503	581	7	.	.	PUNCT
ejpam-5503	582	1	on	on	ADP
ejpam-5503	582	2	the	the	DET
ejpam-5503	582	3	behaviour	behaviour	NOUN
ejpam-5503	582	4	of	of	ADP
ejpam-5503	582	5	algorithms	algorithm	NOUN
ejpam-5503	582	6	featuring	feature	VERB
ejpam-5503	582	7	compositions	composition	NOUN
ejpam-5503	582	8	of	of	ADP
ejpam-5503	582	9	projectors	projector	NOUN
ejpam-5503	582	10	and	and	CCONJ
ejpam-5503	582	11	proximal	proximal	ADJ
ejpam-5503	582	12	mappings	mapping	NOUN
ejpam-5503	582	13	with	with	ADP
ejpam-5503	582	14	no	no	DET
ejpam-5503	582	15	solutions	solution	NOUN
ejpam-5503	582	16	.	.	PUNCT
ejpam-5503	583	1	phd	phd	NOUN
ejpam-5503	583	2	thesis	thesis	PROPN
ejpam-5503	583	3	,	,	PUNCT
ejpam-5503	583	4	university	university	PROPN
ejpam-5503	583	5	of	of	ADP
ejpam-5503	583	6	british	british	PROPN
ejpam-5503	583	7	columbia	columbia	PROPN
ejpam-5503	583	8	,	,	PUNCT
ejpam-5503	583	9	2021	2021	NUM
ejpam-5503	583	10	.	.	PUNCT
ejpam-5503	584	1	[	[	X
ejpam-5503	584	2	3	3	NUM
ejpam-5503	584	3	]	]	PUNCT
ejpam-5503	584	4	alfred	alfre	VERB
ejpam-5503	584	5	auslender	auslender	PROPN
ejpam-5503	584	6	and	and	CCONJ
ejpam-5503	584	7	marc	marc	PROPN
ejpam-5503	584	8	teboulle	teboulle	PROPN
ejpam-5503	584	9	.	.	PUNCT
ejpam-5503	585	1	asymptotic	asymptotic	ADJ
ejpam-5503	585	2	cones	cone	NOUN
ejpam-5503	585	3	and	and	CCONJ
ejpam-5503	585	4	functions	function	NOUN
ejpam-5503	585	5	in	in	ADP
ejpam-5503	585	6	optimization	optimization	NOUN
ejpam-5503	585	7	and	and	CCONJ
ejpam-5503	585	8	variational	variational	ADJ
ejpam-5503	585	9	inequalities	inequality	NOUN
ejpam-5503	585	10	.	.	PUNCT
ejpam-5503	586	1	springer	springer	PROPN
ejpam-5503	586	2	science	science	PROPN
ejpam-5503	586	3	&	&	CCONJ
ejpam-5503	586	4	business	business	NOUN
ejpam-5503	586	5	media	medium	NOUN
ejpam-5503	586	6	,	,	PUNCT
ejpam-5503	586	7	2006	2006	NUM
ejpam-5503	586	8	.	.	PUNCT
ejpam-5503	587	1	[	[	X
ejpam-5503	587	2	4	4	NUM
ejpam-5503	587	3	]	]	PUNCT
ejpam-5503	587	4	heinz	heinz	ADJ
ejpam-5503	587	5	h	h	PROPN
ejpam-5503	587	6	bauschke	bauschke	PROPN
ejpam-5503	587	7	,	,	PUNCT
ejpam-5503	587	8	patrick	patrick	PROPN
ejpam-5503	587	9	l	l	PROPN
ejpam-5503	587	10	combettes	combettes	PROPN
ejpam-5503	587	11	,	,	PUNCT
ejpam-5503	587	12	heinz	heinz	ADJ
ejpam-5503	587	13	h	h	NOUN
ejpam-5503	587	14	bauschke	bauschke	NOUN
ejpam-5503	587	15	,	,	PUNCT
ejpam-5503	587	16	and	and	CCONJ
ejpam-5503	587	17	patrick	patrick	PROPN
ejpam-5503	587	18	l	l	PROPN
ejpam-5503	587	19	combettes	combettes	PROPN
ejpam-5503	587	20	.	.	PUNCT
ejpam-5503	588	1	correction	correction	NOUN
ejpam-5503	588	2	to	to	PART
ejpam-5503	588	3	:	:	PUNCT
ejpam-5503	588	4	convex	convex	VERB
ejpam-5503	588	5	analysis	analysis	NOUN
ejpam-5503	588	6	and	and	CCONJ
ejpam-5503	588	7	monotone	monotone	ADJ
ejpam-5503	588	8	operator	operator	NOUN
ejpam-5503	588	9	theory	theory	NOUN
ejpam-5503	588	10	in	in	ADP
ejpam-5503	588	11	hilbert	hilbert	PROPN
ejpam-5503	588	12	spaces	space	NOUN
ejpam-5503	588	13	.	.	PUNCT
ejpam-5503	589	1	springer	springer	NOUN
ejpam-5503	589	2	,	,	PUNCT
ejpam-5503	589	3	2017	2017	NUM
ejpam-5503	589	4	.	.	PUNCT
ejpam-5503	590	1	[	[	X
ejpam-5503	590	2	5	5	NUM
ejpam-5503	590	3	]	]	PUNCT
ejpam-5503	590	4	heinz	heinz	ADJ
ejpam-5503	590	5	h	h	PROPN
ejpam-5503	590	6	bauschke	bauschke	PROPN
ejpam-5503	590	7	,	,	PUNCT
ejpam-5503	590	8	warren	warren	PROPN
ejpam-5503	590	9	l	l	PROPN
ejpam-5503	590	10	hare	hare	NOUN
ejpam-5503	590	11	,	,	PUNCT
ejpam-5503	590	12	and	and	CCONJ
ejpam-5503	590	13	walaa	walaa	PROPN
ejpam-5503	590	14	m	m	PROPN
ejpam-5503	590	15	moursi	moursi	ADJ
ejpam-5503	590	16	.	.	PUNCT
ejpam-5503	591	1	on	on	ADP
ejpam-5503	591	2	the	the	DET
ejpam-5503	591	3	range	range	NOUN
ejpam-5503	591	4	of	of	ADP
ejpam-5503	591	5	the	the	DET
ejpam-5503	591	6	douglas	douglas	PROPN
ejpam-5503	591	7	–	–	PUNCT
ejpam-5503	591	8	rachford	rachford	ADJ
ejpam-5503	591	9	operator	operator	NOUN
ejpam-5503	591	10	.	.	PUNCT
ejpam-5503	592	1	mathematics	mathematic	NOUN
ejpam-5503	592	2	of	of	ADP
ejpam-5503	592	3	operations	operation	NOUN
ejpam-5503	592	4	research	research	NOUN
ejpam-5503	592	5	,	,	PUNCT
ejpam-5503	592	6	41(3):884–897	41(3):884–897	PROPN
ejpam-5503	592	7	,	,	PUNCT
ejpam-5503	592	8	2016	2016	NUM
ejpam-5503	592	9	.	.	PUNCT
ejpam-5503	593	1	s.	s.	PROPN
ejpam-5503	593	2	th	th	PROPN
ejpam-5503	593	3	.	.	PUNCT
ejpam-5503	594	1	alwadani	alwadani	PROPN
ejpam-5503	594	2	/	/	SYM
ejpam-5503	594	3	eur	eur	PROPN
ejpam-5503	594	4	.	.	PUNCT
ejpam-5503	595	1	j.	j.	PROPN
ejpam-5503	595	2	pure	pure	PROPN
ejpam-5503	595	3	appl	appl	PROPN
ejpam-5503	595	4	.	.	PROPN
ejpam-5503	595	5	math	math	PROPN
ejpam-5503	595	6	,	,	PUNCT
ejpam-5503	595	7	18	18	NUM
ejpam-5503	595	8	(	(	PUNCT
ejpam-5503	595	9	1	1	NUM
ejpam-5503	595	10	)	)	PUNCT
ejpam-5503	595	11	(	(	PUNCT
ejpam-5503	595	12	2025	2025	NUM
ejpam-5503	595	13	)	)	PUNCT
ejpam-5503	595	14	,	,	PUNCT
ejpam-5503	595	15	5503	5503	NUM
ejpam-5503	595	16	16	16	NUM
ejpam-5503	595	17	of	of	ADP
ejpam-5503	595	18	16	16	NUM
ejpam-5503	596	1	[	[	X
ejpam-5503	596	2	6	6	NUM
ejpam-5503	596	3	]	]	PUNCT
ejpam-5503	596	4	heinz	heinz	PROPN
ejpam-5503	596	5	h	h	PROPN
ejpam-5503	596	6	bauschke	bauschke	PROPN
ejpam-5503	596	7	,	,	PUNCT
ejpam-5503	596	8	sarah	sarah	PROPN
ejpam-5503	596	9	m	m	PROPN
ejpam-5503	596	10	moffat	moffat	PROPN
ejpam-5503	596	11	,	,	PUNCT
ejpam-5503	596	12	and	and	CCONJ
ejpam-5503	596	13	xianfu	xianfu	PROPN
ejpam-5503	596	14	wang	wang	PROPN
ejpam-5503	596	15	.	.	PUNCT
ejpam-5503	597	1	firmly	firmly	ADV
ejpam-5503	597	2	nonexpansive	nonexpansive	ADJ
ejpam-5503	597	3	mappings	mapping	NOUN
ejpam-5503	597	4	and	and	CCONJ
ejpam-5503	597	5	maximally	maximally	ADV
ejpam-5503	597	6	monotone	monotone	ADJ
ejpam-5503	597	7	operators	operator	NOUN
ejpam-5503	597	8	:	:	PUNCT
ejpam-5503	597	9	correspondence	correspondence	NOUN
ejpam-5503	597	10	and	and	CCONJ
ejpam-5503	597	11	duality	duality	NOUN
ejpam-5503	597	12	.	.	PUNCT
ejpam-5503	598	1	set	set	NOUN
ejpam-5503	598	2	-	-	PUNCT
ejpam-5503	598	3	valued	value	VERB
ejpam-5503	598	4	and	and	CCONJ
ejpam-5503	598	5	variational	variational	ADJ
ejpam-5503	598	6	analysis	analysis	NOUN
ejpam-5503	598	7	,	,	PUNCT
ejpam-5503	598	8	20:131–153	20:131–153	NOUN
ejpam-5503	598	9	,	,	PUNCT
ejpam-5503	598	10	2012	2012	NUM
ejpam-5503	598	11	.	.	PUNCT
ejpam-5503	599	1	[	[	X
ejpam-5503	599	2	7	7	X
ejpam-5503	599	3	]	]	X
ejpam-5503	599	4	heinz	heinz	ADJ
ejpam-5503	599	5	h	h	NOUN
ejpam-5503	599	6	bauschke	bauschke	NOUN
ejpam-5503	599	7	and	and	CCONJ
ejpam-5503	599	8	walaa	walaa	PROPN
ejpam-5503	599	9	m	m	PROPN
ejpam-5503	599	10	moursi	moursi	ADJ
ejpam-5503	599	11	.	.	PUNCT
ejpam-5503	600	1	on	on	ADP
ejpam-5503	600	2	the	the	DET
ejpam-5503	600	3	order	order	NOUN
ejpam-5503	600	4	of	of	ADP
ejpam-5503	600	5	the	the	DET
ejpam-5503	600	6	operators	operator	NOUN
ejpam-5503	600	7	in	in	ADP
ejpam-5503	600	8	the	the	DET
ejpam-5503	600	9	douglas	douglas	PROPN
ejpam-5503	600	10	–	–	PUNCT
ejpam-5503	600	11	rachford	rachford	ADJ
ejpam-5503	600	12	algorithm	algorithm	NOUN
ejpam-5503	600	13	.	.	PUNCT
ejpam-5503	601	1	optimization	optimization	NOUN
ejpam-5503	601	2	letters	letter	NOUN
ejpam-5503	601	3	,	,	PUNCT
ejpam-5503	601	4	10:447–455	10:447–455	NUM
ejpam-5503	601	5	,	,	PUNCT
ejpam-5503	601	6	2016	2016	NUM
ejpam-5503	601	7	.	.	PUNCT
ejpam-5503	602	1	[	[	X
ejpam-5503	602	2	8	8	NUM
ejpam-5503	602	3	]	]	X
ejpam-5503	602	4	heinz	heinz	ADJ
ejpam-5503	602	5	h	h	PROPN
ejpam-5503	602	6	bauschke	bauschke	NOUN
ejpam-5503	602	7	and	and	CCONJ
ejpam-5503	602	8	walaa	walaa	PROPN
ejpam-5503	602	9	m	m	PROPN
ejpam-5503	602	10	moursi	moursi	ADJ
ejpam-5503	602	11	.	.	PUNCT
ejpam-5503	603	1	on	on	ADP
ejpam-5503	603	2	the	the	DET
ejpam-5503	603	3	douglas	douglas	PROPN
ejpam-5503	603	4	–	–	PUNCT
ejpam-5503	603	5	rachford	rachford	ADJ
ejpam-5503	603	6	algorithm	algorithm	NOUN
ejpam-5503	603	7	for	for	ADP
ejpam-5503	603	8	solving	solve	VERB
ejpam-5503	603	9	possibly	possibly	ADV
ejpam-5503	603	10	inconsistent	inconsistent	ADJ
ejpam-5503	603	11	optimization	optimization	NOUN
ejpam-5503	603	12	problems	problem	NOUN
ejpam-5503	603	13	.	.	PUNCT
ejpam-5503	604	1	mathematics	mathematic	NOUN
ejpam-5503	604	2	of	of	ADP
ejpam-5503	604	3	operations	operation	NOUN
ejpam-5503	604	4	research	research	NOUN
ejpam-5503	604	5	,	,	PUNCT
ejpam-5503	604	6	49(1):58–77	49(1):58–77	NUM
ejpam-5503	604	7	,	,	PUNCT
ejpam-5503	604	8	2024	2024	NUM
ejpam-5503	604	9	.	.	PUNCT
ejpam-5503	605	1	[	[	X
ejpam-5503	605	2	9	9	NUM
ejpam-5503	605	3	]	]	X
ejpam-5503	605	4	jonathan	jonathan	PROPN
ejpam-5503	605	5	m	m	PROPN
ejpam-5503	605	6	borwein	borwein	PROPN
ejpam-5503	605	7	.	.	PUNCT
ejpam-5503	606	1	fifty	fifty	NUM
ejpam-5503	606	2	years	year	NOUN
ejpam-5503	606	3	of	of	ADP
ejpam-5503	606	4	maximal	maximal	ADJ
ejpam-5503	606	5	monotonicity	monotonicity	NOUN
ejpam-5503	606	6	.	.	PUNCT
ejpam-5503	607	1	optimization	optimization	NOUN
ejpam-5503	607	2	letters	letter	NOUN
ejpam-5503	607	3	,	,	PUNCT
ejpam-5503	607	4	4(4):473–490	4(4):473–490	NUM
ejpam-5503	607	5	,	,	PUNCT
ejpam-5503	607	6	2010	2010	NUM
ejpam-5503	607	7	.	.	PUNCT
ejpam-5503	608	1	[	[	X
ejpam-5503	608	2	10	10	NUM
ejpam-5503	608	3	]	]	X
ejpam-5503	608	4	jonathan	jonathan	PROPN
ejpam-5503	608	5	m	m	PROPN
ejpam-5503	608	6	borwein	borwein	PROPN
ejpam-5503	608	7	,	,	PUNCT
ejpam-5503	608	8	jon	jon	PROPN
ejpam-5503	608	9	d	d	PROPN
ejpam-5503	608	10	vanderwerff	vanderwerff	PROPN
ejpam-5503	608	11	,	,	PUNCT
ejpam-5503	608	12	et	et	PROPN
ejpam-5503	608	13	al	al	PROPN
ejpam-5503	608	14	.	.	PROPN
ejpam-5503	608	15	convex	convex	PROPN
ejpam-5503	608	16	functions	function	NOUN
ejpam-5503	608	17	:	:	PUNCT
ejpam-5503	608	18	constructions	construction	NOUN
ejpam-5503	608	19	,	,	PUNCT
ejpam-5503	608	20	characterizations	characterization	NOUN
ejpam-5503	608	21	and	and	CCONJ
ejpam-5503	608	22	counterexamples	counterexample	NOUN
ejpam-5503	608	23	,	,	PUNCT
ejpam-5503	608	24	volume	volume	NOUN
ejpam-5503	608	25	109	109	NUM
ejpam-5503	608	26	.	.	PUNCT
ejpam-5503	609	1	cambridge	cambridge	PROPN
ejpam-5503	609	2	university	university	PROPN
ejpam-5503	609	3	press	press	PROPN
ejpam-5503	609	4	cambridge	cambridge	PROPN
ejpam-5503	609	5	,	,	PUNCT
ejpam-5503	609	6	2010	2010	NUM
ejpam-5503	609	7	.	.	PUNCT
ejpam-5503	610	1	[	[	X
ejpam-5503	610	2	11	11	NUM
ejpam-5503	610	3	]	]	X
ejpam-5503	610	4	jonathan	jonathan	PROPN
ejpam-5503	610	5	m	m	PROPN
ejpam-5503	610	6	borwein	borwein	NOUN
ejpam-5503	610	7	and	and	CCONJ
ejpam-5503	610	8	qiji	qiji	VERB
ejpam-5503	610	9	j	j	PROPN
ejpam-5503	610	10	zhu	zhu	PROPN
ejpam-5503	610	11	.	.	PUNCT
ejpam-5503	611	1	variational	variational	ADJ
ejpam-5503	611	2	techniques	technique	NOUN
ejpam-5503	611	3	in	in	ADP
ejpam-5503	611	4	convex	convex	ADJ
ejpam-5503	611	5	analysis	analysis	NOUN
ejpam-5503	611	6	.	.	PUNCT
ejpam-5503	612	1	techniques	technique	NOUN
ejpam-5503	612	2	of	of	ADP
ejpam-5503	612	3	variational	variational	ADJ
ejpam-5503	612	4	analysis	analysis	NOUN
ejpam-5503	612	5	,	,	PUNCT
ejpam-5503	612	6	pages	page	NOUN
ejpam-5503	612	7	111–163	111–163	NUM
ejpam-5503	612	8	,	,	PUNCT
ejpam-5503	612	9	2005	2005	NUM
ejpam-5503	612	10	.	.	PUNCT
ejpam-5503	613	1	[	[	X
ejpam-5503	613	2	12	12	NUM
ejpam-5503	613	3	]	]	X
ejpam-5503	613	4	regina	regina	PROPN
ejpam-5503	613	5	sandra	sandra	PROPN
ejpam-5503	613	6	burachik	burachik	PROPN
ejpam-5503	613	7	and	and	CCONJ
ejpam-5503	613	8	benar	benar	PROPN
ejpam-5503	613	9	f	f	PROPN
ejpam-5503	613	10	svaiter	svaiter	NOUN
ejpam-5503	613	11	.	.	PUNCT
ejpam-5503	614	1	maximal	maximal	ADJ
ejpam-5503	614	2	monotone	monotone	ADJ
ejpam-5503	614	3	operators	operator	NOUN
ejpam-5503	614	4	,	,	PUNCT
ejpam-5503	614	5	convex	convex	NOUN
ejpam-5503	614	6	functions	function	NOUN
ejpam-5503	614	7	and	and	CCONJ
ejpam-5503	614	8	a	a	DET
ejpam-5503	614	9	special	special	ADJ
ejpam-5503	614	10	family	family	NOUN
ejpam-5503	614	11	of	of	ADP
ejpam-5503	614	12	enlargements	enlargement	NOUN
ejpam-5503	614	13	.	.	PUNCT
ejpam-5503	615	1	set	set	NOUN
ejpam-5503	615	2	-	-	PUNCT
ejpam-5503	615	3	valued	value	VERB
ejpam-5503	615	4	analysis	analysis	NOUN
ejpam-5503	615	5	,	,	PUNCT
ejpam-5503	615	6	10:297–316	10:297–316	NUM
ejpam-5503	615	7	,	,	PUNCT
ejpam-5503	615	8	2002	2002	NUM
ejpam-5503	615	9	.	.	PUNCT
ejpam-5503	616	1	[	[	X
ejpam-5503	616	2	13	13	NUM
ejpam-5503	616	3	]	]	SYM
ejpam-5503	616	4	yair	yair	PROPN
ejpam-5503	616	5	censor	censor	PROPN
ejpam-5503	616	6	and	and	CCONJ
ejpam-5503	616	7	rafiq	rafiq	PROPN
ejpam-5503	616	8	mansour	mansour	PROPN
ejpam-5503	616	9	.	.	PUNCT
ejpam-5503	617	1	new	new	PROPN
ejpam-5503	617	2	douglas	douglas	PROPN
ejpam-5503	617	3	–	–	PUNCT
ejpam-5503	617	4	rachford	rachford	ADJ
ejpam-5503	617	5	algorithmic	algorithmic	ADJ
ejpam-5503	617	6	structures	structure	NOUN
ejpam-5503	617	7	and	and	CCONJ
ejpam-5503	617	8	their	their	PRON
ejpam-5503	617	9	convergence	convergence	NOUN
ejpam-5503	617	10	analyses	analysis	NOUN
ejpam-5503	617	11	.	.	PUNCT
ejpam-5503	618	1	siam	siam	PROPN
ejpam-5503	618	2	journal	journal	PROPN
ejpam-5503	618	3	on	on	ADP
ejpam-5503	618	4	optimization	optimization	NOUN
ejpam-5503	618	5	,	,	PUNCT
ejpam-5503	618	6	26(1):474–487	26(1):474–487	PROPN
ejpam-5503	618	7	,	,	PUNCT
ejpam-5503	618	8	2016	2016	NUM
ejpam-5503	618	9	.	.	PUNCT
ejpam-5503	619	1	[	[	X
ejpam-5503	619	2	14	14	NUM
ejpam-5503	619	3	]	]	X
ejpam-5503	619	4	patrick	patrick	PROPN
ejpam-5503	619	5	l	l	PROPN
ejpam-5503	619	6	combettes	combettes	PROPN
ejpam-5503	619	7	.	.	PUNCT
ejpam-5503	620	1	monotone	monotone	ADJ
ejpam-5503	620	2	operator	operator	NOUN
ejpam-5503	620	3	theory	theory	NOUN
ejpam-5503	620	4	in	in	ADP
ejpam-5503	620	5	convex	convex	PROPN
ejpam-5503	620	6	optimization	optimization	NOUN
ejpam-5503	620	7	.	.	PUNCT
ejpam-5503	621	1	mathematical	mathematical	ADJ
ejpam-5503	621	2	programming	programming	NOUN
ejpam-5503	621	3	,	,	PUNCT
ejpam-5503	621	4	170:177–206	170:177–206	NUM
ejpam-5503	621	5	,	,	PUNCT
ejpam-5503	621	6	2018	2018	NUM
ejpam-5503	621	7	.	.	PUNCT
ejpam-5503	622	1	[	[	X
ejpam-5503	622	2	15	15	NUM
ejpam-5503	622	3	]	]	X
ejpam-5503	622	4	jonathan	jonathan	PROPN
ejpam-5503	622	5	eckstein	eckstein	PROPN
ejpam-5503	622	6	.	.	PUNCT
ejpam-5503	623	1	splitting	splitting	NOUN
ejpam-5503	623	2	methods	method	NOUN
ejpam-5503	623	3	for	for	ADP
ejpam-5503	623	4	monotone	monotone	ADJ
ejpam-5503	623	5	operators	operator	NOUN
ejpam-5503	623	6	with	with	ADP
ejpam-5503	623	7	applications	application	NOUN
ejpam-5503	623	8	to	to	PART
ejpam-5503	623	9	parallel	parallel	VERB
ejpam-5503	623	10	optimization	optimization	NOUN
ejpam-5503	623	11	.	.	PUNCT
ejpam-5503	624	1	phd	phd	NOUN
ejpam-5503	624	2	thesis	thesis	PROPN
ejpam-5503	624	3	,	,	PUNCT
ejpam-5503	624	4	massachusetts	massachusetts	PROPN
ejpam-5503	624	5	institute	institute	PROPN
ejpam-5503	624	6	of	of	ADP
ejpam-5503	624	7	technology	technology	PROPN
ejpam-5503	624	8	,	,	PUNCT
ejpam-5503	624	9	1989	1989	NUM
ejpam-5503	624	10	.	.	PUNCT
ejpam-5503	625	1	[	[	X
ejpam-5503	625	2	16	16	NUM
ejpam-5503	625	3	]	]	X
ejpam-5503	625	4	jonathan	jonathan	PROPN
ejpam-5503	625	5	eckstein	eckstein	PROPN
ejpam-5503	625	6	and	and	CCONJ
ejpam-5503	625	7	dimitri	dimitri	PROPN
ejpam-5503	625	8	p	p	PROPN
ejpam-5503	625	9	bertsekas	bertsekas	PROPN
ejpam-5503	625	10	.	.	PUNCT
ejpam-5503	626	1	on	on	ADP
ejpam-5503	626	2	the	the	DET
ejpam-5503	626	3	douglas	douglas	PROPN
ejpam-5503	626	4	—	—	PUNCT
ejpam-5503	626	5	rachford	rachford	ADJ
ejpam-5503	626	6	splitting	splitting	NOUN
ejpam-5503	626	7	method	method	NOUN
ejpam-5503	626	8	and	and	CCONJ
ejpam-5503	626	9	the	the	DET
ejpam-5503	626	10	proximal	proximal	ADJ
ejpam-5503	626	11	point	point	NOUN
ejpam-5503	626	12	algorithm	algorithm	NOUN
ejpam-5503	626	13	for	for	ADP
ejpam-5503	626	14	maximal	maximal	ADJ
ejpam-5503	626	15	monotone	monotone	ADJ
ejpam-5503	626	16	operators	operator	NOUN
ejpam-5503	626	17	.	.	PUNCT
ejpam-5503	627	1	mathematical	mathematical	ADJ
ejpam-5503	627	2	programming	programming	NOUN
ejpam-5503	627	3	,	,	PUNCT
ejpam-5503	627	4	55:293–318	55:293–318	NUM
ejpam-5503	627	5	,	,	PUNCT
ejpam-5503	627	6	1992	1992	NUM
ejpam-5503	627	7	.	.	PUNCT
ejpam-5503	628	1	[	[	X
ejpam-5503	628	2	17	17	NUM
ejpam-5503	628	3	]	]	X
ejpam-5503	628	4	anqi	anqi	NOUN
ejpam-5503	628	5	fu	fu	PROPN
ejpam-5503	628	6	,	,	PUNCT
ejpam-5503	628	7	junzi	junzi	PROPN
ejpam-5503	628	8	zhang	zhang	PROPN
ejpam-5503	628	9	,	,	PUNCT
ejpam-5503	628	10	and	and	CCONJ
ejpam-5503	628	11	stephen	stephen	PROPN
ejpam-5503	628	12	boyd	boyd	PROPN
ejpam-5503	628	13	.	.	PUNCT
ejpam-5503	629	1	anderson	anderson	PROPN
ejpam-5503	629	2	accelerated	accelerate	VERB
ejpam-5503	629	3	douglas	douglas	PROPN
ejpam-5503	629	4	–	–	PUNCT
ejpam-5503	629	5	rachford	rachford	ADJ
ejpam-5503	629	6	splitting	splitting	NOUN
ejpam-5503	629	7	.	.	PUNCT
ejpam-5503	630	1	siam	siam	PROPN
ejpam-5503	630	2	journal	journal	PROPN
ejpam-5503	630	3	on	on	ADP
ejpam-5503	630	4	scientific	scientific	ADJ
ejpam-5503	630	5	computing	computing	NOUN
ejpam-5503	630	6	,	,	PUNCT
ejpam-5503	630	7	42(6):a3560	42(6):a3560	PROPN
ejpam-5503	630	8	–	–	PUNCT
ejpam-5503	630	9	a3583	a3583	NOUN
ejpam-5503	630	10	,	,	PUNCT
ejpam-5503	630	11	2020	2020	NUM
ejpam-5503	630	12	.	.	PUNCT
ejpam-5503	631	1	[	[	X
ejpam-5503	631	2	18	18	NUM
ejpam-5503	631	3	]	]	X
ejpam-5503	631	4	scott	scott	PROPN
ejpam-5503	631	5	b	b	PROPN
ejpam-5503	631	6	lindstrom	lindstrom	PROPN
ejpam-5503	631	7	and	and	CCONJ
ejpam-5503	631	8	brailey	brailey	PROPN
ejpam-5503	631	9	sims	sim	NOUN
ejpam-5503	631	10	.	.	PUNCT
ejpam-5503	632	1	survey	survey	NOUN
ejpam-5503	632	2	:	:	PUNCT
ejpam-5503	632	3	sixty	sixty	NUM
ejpam-5503	632	4	years	year	NOUN
ejpam-5503	632	5	of	of	ADP
ejpam-5503	632	6	douglas	douglas	PROPN
ejpam-5503	632	7	–	–	PUNCT
ejpam-5503	632	8	rachford	rachford	ADJ
ejpam-5503	632	9	.	.	PUNCT
ejpam-5503	633	1	journal	journal	NOUN
ejpam-5503	633	2	of	of	ADP
ejpam-5503	633	3	the	the	DET
ejpam-5503	633	4	australian	australian	ADJ
ejpam-5503	633	5	mathematical	mathematical	ADJ
ejpam-5503	633	6	society	society	NOUN
ejpam-5503	633	7	,	,	PUNCT
ejpam-5503	633	8	110(3):333–370	110(3):333–370	NUM
ejpam-5503	633	9	,	,	PUNCT
ejpam-5503	633	10	2021	2021	NUM
ejpam-5503	633	11	.	.	PUNCT
ejpam-5503	634	1	[	[	X
ejpam-5503	634	2	19	19	NUM
ejpam-5503	634	3	]	]	PUNCT
ejpam-5503	634	4	pierre	pierre	NOUN
ejpam-5503	634	5	-	-	PUNCT
ejpam-5503	634	6	louis	louis	NOUN
ejpam-5503	634	7	lions	lion	NOUN
ejpam-5503	634	8	and	and	CCONJ
ejpam-5503	634	9	bertrand	bertrand	PROPN
ejpam-5503	634	10	mercier	mercier	PROPN
ejpam-5503	634	11	.	.	PUNCT
ejpam-5503	635	1	splitting	split	VERB
ejpam-5503	635	2	algorithms	algorithm	NOUN
ejpam-5503	635	3	for	for	ADP
ejpam-5503	635	4	the	the	DET
ejpam-5503	635	5	sum	sum	NOUN
ejpam-5503	635	6	of	of	ADP
ejpam-5503	635	7	two	two	NUM
ejpam-5503	635	8	nonlinear	nonlinear	ADJ
ejpam-5503	635	9	operators	operator	NOUN
ejpam-5503	635	10	.	.	PUNCT
ejpam-5503	636	1	siam	siam	PROPN
ejpam-5503	636	2	journal	journal	PROPN
ejpam-5503	636	3	on	on	ADP
ejpam-5503	636	4	numerical	numerical	ADJ
ejpam-5503	636	5	analysis	analysis	NOUN
ejpam-5503	636	6	,	,	PUNCT
ejpam-5503	636	7	16(6):964–979	16(6):964–979	NUM
ejpam-5503	636	8	,	,	PUNCT
ejpam-5503	636	9	1979	1979	NUM
ejpam-5503	636	10	.	.	PUNCT