id	sid	tid	token	lemma	pos
ejpam-3273	1	1	european	european	PROPN
ejpam-3273	1	2	journal	journal	PROPN
ejpam-3273	1	3	of	of	ADP
ejpam-3273	1	4	pure	pure	ADJ
ejpam-3273	1	5	and	and	CCONJ
ejpam-3273	1	6	applied	apply	VERB
ejpam-3273	1	7	mathematics	mathematic	NOUN
ejpam-3273	1	8	vol	vol	NOUN
ejpam-3273	1	9	.	.	PUNCT
ejpam-3273	2	1	11	11	NUM
ejpam-3273	2	2	,	,	PUNCT
ejpam-3273	2	3	no	no	INTJ
ejpam-3273	2	4	.	.	NOUN
ejpam-3273	2	5	3	3	NUM
ejpam-3273	2	6	,	,	PUNCT
ejpam-3273	2	7	2018	2018	NUM
ejpam-3273	2	8	,	,	PUNCT
ejpam-3273	2	9	682	682	NUM
ejpam-3273	2	10	-	-	SYM
ejpam-3273	2	11	701	701	NUM
ejpam-3273	2	12	issn	issn	PROPN
ejpam-3273	2	13	1307	1307	NUM
ejpam-3273	2	14	-	-	SYM
ejpam-3273	2	15	5543	5543	NUM
ejpam-3273	2	16	–	–	PUNCT
ejpam-3273	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3273	2	18	published	publish	VERB
ejpam-3273	2	19	by	by	ADP
ejpam-3273	2	20	new	new	PROPN
ejpam-3273	2	21	york	york	PROPN
ejpam-3273	2	22	business	business	PROPN
ejpam-3273	2	23	global	global	PROPN
ejpam-3273	2	24	on	on	ADP
ejpam-3273	2	25	the	the	DET
ejpam-3273	2	26	irreducibility	irreducibility	NOUN
ejpam-3273	2	27	of	of	ADP
ejpam-3273	2	28	fourth	fourth	ADJ
ejpam-3273	2	29	dimensional	dimensional	ADJ
ejpam-3273	2	30	tuba	tuba	NOUN
ejpam-3273	2	31	’s	’s	PART
ejpam-3273	2	32	representation	representation	NOUN
ejpam-3273	2	33	of	of	ADP
ejpam-3273	2	34	the	the	DET
ejpam-3273	2	35	pure	pure	ADJ
ejpam-3273	2	36	braid	braid	NOUN
ejpam-3273	2	37	group	group	NOUN
ejpam-3273	2	38	on	on	ADP
ejpam-3273	2	39	three	three	NUM
ejpam-3273	2	40	strands	strand	NOUN
ejpam-3273	2	41	hasan	hasan	PROPN
ejpam-3273	2	42	a.	a.	PROPN
ejpam-3273	2	43	haidar1	haidar1	PROPN
ejpam-3273	2	44	,	,	PUNCT
ejpam-3273	2	45	mohammad	mohammad	PROPN
ejpam-3273	2	46	n.	n.	PROPN
ejpam-3273	2	47	abdulrahim1,∗	abdulrahim1,∗	PROPN
ejpam-3273	2	48	1	1	PROPN
ejpam-3273	2	49	department	department	NOUN
ejpam-3273	2	50	of	of	ADP
ejpam-3273	2	51	mathematics	mathematic	NOUN
ejpam-3273	2	52	,	,	PUNCT
ejpam-3273	2	53	faculty	faculty	NOUN
ejpam-3273	2	54	of	of	ADP
ejpam-3273	2	55	science	science	NOUN
ejpam-3273	2	56	,	,	PUNCT
ejpam-3273	2	57	beirut	beirut	PROPN
ejpam-3273	2	58	arab	arab	PROPN
ejpam-3273	2	59	university	university	PROPN
ejpam-3273	2	60	,	,	PUNCT
ejpam-3273	2	61	p.o	p.o	PROPN
ejpam-3273	2	62	.	.	PROPN
ejpam-3273	2	63	box	box	PROPN
ejpam-3273	2	64	:	:	PUNCT
ejpam-3273	2	65	11	11	NUM
ejpam-3273	2	66	-	-	SYM
ejpam-3273	2	67	5020	5020	NUM
ejpam-3273	2	68	,	,	PUNCT
ejpam-3273	2	69	beirut	beirut	PROPN
ejpam-3273	2	70	,	,	PUNCT
ejpam-3273	2	71	lebanon	lebanon	PROPN
ejpam-3273	2	72	abstract	abstract	NOUN
ejpam-3273	2	73	.	.	PUNCT
ejpam-3273	3	1	we	we	PRON
ejpam-3273	3	2	consider	consider	VERB
ejpam-3273	3	3	tuba	tuba	NOUN
ejpam-3273	3	4	’s	’s	PART
ejpam-3273	3	5	representation	representation	NOUN
ejpam-3273	3	6	of	of	ADP
ejpam-3273	3	7	the	the	DET
ejpam-3273	3	8	pure	pure	ADJ
ejpam-3273	3	9	braid	braid	NOUN
ejpam-3273	3	10	group	group	NOUN
ejpam-3273	3	11	,	,	PUNCT
ejpam-3273	3	12	p3	p3	PROPN
ejpam-3273	3	13	,	,	PUNCT
ejpam-3273	3	14	given	give	VERB
ejpam-3273	3	15	by	by	ADP
ejpam-3273	3	16	the	the	DET
ejpam-3273	3	17	map	map	NOUN
ejpam-3273	3	18	φ	φ	NOUN
ejpam-3273	3	19	:	:	PUNCT
ejpam-3273	3	20	p3	p3	PROPN
ejpam-3273	3	21	−→	−→	NOUN
ejpam-3273	3	22	gl(4	gl(4	PROPN
ejpam-3273	3	23	,	,	PUNCT
ejpam-3273	3	24	f	f	PROPN
ejpam-3273	3	25	)	)	PUNCT
ejpam-3273	3	26	,	,	PUNCT
ejpam-3273	3	27	where	where	SCONJ
ejpam-3273	3	28	f	f	PROPN
ejpam-3273	3	29	is	be	AUX
ejpam-3273	3	30	an	an	DET
ejpam-3273	3	31	algebraically	algebraically	ADV
ejpam-3273	3	32	closed	close	VERB
ejpam-3273	3	33	field	field	NOUN
ejpam-3273	3	34	.	.	PUNCT
ejpam-3273	4	1	after	after	ADP
ejpam-3273	4	2	,	,	PUNCT
ejpam-3273	4	3	specializing	specialize	VERB
ejpam-3273	4	4	the	the	DET
ejpam-3273	4	5	indeterminates	indeterminate	NOUN
ejpam-3273	4	6	used	use	VERB
ejpam-3273	4	7	in	in	ADP
ejpam-3273	4	8	defining	define	VERB
ejpam-3273	4	9	the	the	DET
ejpam-3273	4	10	representation	representation	NOUN
ejpam-3273	4	11	to	to	ADP
ejpam-3273	4	12	nonzero	nonzero	PROPN
ejpam-3273	4	13	complex	complex	ADJ
ejpam-3273	4	14	numbers	number	NOUN
ejpam-3273	4	15	,	,	PUNCT
ejpam-3273	4	16	we	we	PRON
ejpam-3273	4	17	find	find	VERB
ejpam-3273	4	18	sufficient	sufficient	ADJ
ejpam-3273	4	19	conditions	condition	NOUN
ejpam-3273	4	20	that	that	PRON
ejpam-3273	4	21	guarantee	guarantee	VERB
ejpam-3273	4	22	the	the	DET
ejpam-3273	4	23	irreducibility	irreducibility	NOUN
ejpam-3273	4	24	of	of	ADP
ejpam-3273	4	25	tuba	tuba	PROPN
ejpam-3273	4	26	’s	’s	PART
ejpam-3273	4	27	representation	representation	NOUN
ejpam-3273	4	28	of	of	ADP
ejpam-3273	4	29	the	the	DET
ejpam-3273	4	30	pure	pure	ADJ
ejpam-3273	4	31	braid	braid	PROPN
ejpam-3273	4	32	group	group	NOUN
ejpam-3273	4	33	p3	p3	PROPN
ejpam-3273	4	34	with	with	ADP
ejpam-3273	4	35	dimension	dimension	NOUN
ejpam-3273	4	36	d	d	X
ejpam-3273	4	37	=	=	SYM
ejpam-3273	4	38	4	4	X
ejpam-3273	4	39	.	.	PUNCT
ejpam-3273	5	1	under	under	ADP
ejpam-3273	5	2	further	further	ADJ
ejpam-3273	5	3	restriction	restriction	NOUN
ejpam-3273	5	4	for	for	ADP
ejpam-3273	5	5	the	the	DET
ejpam-3273	5	6	complex	complex	ADJ
ejpam-3273	5	7	specialization	specialization	NOUN
ejpam-3273	5	8	of	of	ADP
ejpam-3273	5	9	the	the	DET
ejpam-3273	5	10	indeterminates	indeterminate	NOUN
ejpam-3273	5	11	,	,	PUNCT
ejpam-3273	5	12	we	we	PRON
ejpam-3273	5	13	get	get	VERB
ejpam-3273	5	14	a	a	DET
ejpam-3273	5	15	necessary	necessary	ADJ
ejpam-3273	5	16	and	and	CCONJ
ejpam-3273	5	17	sufficient	sufficient	ADJ
ejpam-3273	5	18	condition	condition	NOUN
ejpam-3273	5	19	for	for	ADP
ejpam-3273	5	20	the	the	DET
ejpam-3273	5	21	irreducibility	irreducibility	NOUN
ejpam-3273	5	22	of	of	ADP
ejpam-3273	5	23	φ	φ	PROPN
ejpam-3273	5	24	.	.	PROPN
ejpam-3273	5	25	2010	2010	NUM
ejpam-3273	5	26	mathematics	mathematic	NOUN
ejpam-3273	5	27	subject	subject	NOUN
ejpam-3273	5	28	classifications	classification	NOUN
ejpam-3273	5	29	:	:	PUNCT
ejpam-3273	5	30	20f36	20f36	NUM
ejpam-3273	5	31	key	key	ADJ
ejpam-3273	5	32	words	word	NOUN
ejpam-3273	5	33	and	and	CCONJ
ejpam-3273	5	34	phrases	phrase	NOUN
ejpam-3273	5	35	:	:	PUNCT
ejpam-3273	5	36	braid	braid	NOUN
ejpam-3273	5	37	group	group	NOUN
ejpam-3273	5	38	,	,	PUNCT
ejpam-3273	5	39	pure	pure	ADJ
ejpam-3273	5	40	braid	braid	NOUN
ejpam-3273	5	41	group	group	NOUN
ejpam-3273	5	42	,	,	PUNCT
ejpam-3273	5	43	irreducible	irreducible	ADJ
ejpam-3273	5	44	1	1	NUM
ejpam-3273	5	45	.	.	PUNCT
ejpam-3273	6	1	introduction	introduction	NOUN
ejpam-3273	6	2	let	let	VERB
ejpam-3273	6	3	bn	bn	PART
ejpam-3273	6	4	be	be	AUX
ejpam-3273	6	5	the	the	DET
ejpam-3273	6	6	braid	braid	NOUN
ejpam-3273	6	7	group	group	NOUN
ejpam-3273	6	8	on	on	ADP
ejpam-3273	6	9	n	n	DET
ejpam-3273	6	10	strands	strand	NOUN
ejpam-3273	6	11	.	.	PUNCT
ejpam-3273	7	1	there	there	PRON
ejpam-3273	7	2	exists	exist	VERB
ejpam-3273	7	3	a	a	DET
ejpam-3273	7	4	surjective	surjective	ADJ
ejpam-3273	7	5	group	group	NOUN
ejpam-3273	7	6	homomorphism	homomorphism	NOUN
ejpam-3273	7	7	π	π	X
ejpam-3273	7	8	:	:	PUNCT
ejpam-3273	7	9	bn	bn	ADP
ejpam-3273	7	10	−→	−→	VERB
ejpam-3273	7	11	sn	sn	PROPN
ejpam-3273	7	12	.	.	PUNCT
ejpam-3273	8	1	the	the	DET
ejpam-3273	8	2	kernel	kernel	NOUN
ejpam-3273	8	3	of	of	ADP
ejpam-3273	8	4	π	π	PROPN
ejpam-3273	8	5	is	be	AUX
ejpam-3273	8	6	referred	refer	VERB
ejpam-3273	8	7	to	to	ADP
ejpam-3273	8	8	as	as	SCONJ
ejpam-3273	8	9	the	the	DET
ejpam-3273	8	10	pure	pure	ADJ
ejpam-3273	8	11	braid	braid	NOUN
ejpam-3273	8	12	group	group	NOUN
ejpam-3273	8	13	pn	pn	NOUN
ejpam-3273	8	14	with	with	ADP
ejpam-3273	8	15	n(n−1	n(n−1	NUM
ejpam-3273	8	16	)	)	PUNCT
ejpam-3273	8	17	2	2	NUM
ejpam-3273	8	18	generators	generator	NOUN
ejpam-3273	8	19	.	.	PUNCT
ejpam-3273	9	1	in	in	ADP
ejpam-3273	9	2	2001	2001	NUM
ejpam-3273	9	3	,	,	PUNCT
ejpam-3273	9	4	a	a	DET
ejpam-3273	9	5	representation	representation	NOUN
ejpam-3273	9	6	of	of	ADP
ejpam-3273	9	7	b3	b3	PROPN
ejpam-3273	9	8	was	be	AUX
ejpam-3273	9	9	defined	define	VERB
ejpam-3273	9	10	by	by	ADP
ejpam-3273	9	11	i.	i.	PROPN
ejpam-3273	9	12	tuba	tuba	PROPN
ejpam-3273	9	13	and	and	CCONJ
ejpam-3273	9	14	h.	h.	PROPN
ejpam-3273	9	15	wenzl	wenzl	PROPN
ejpam-3273	9	16	,	,	PUNCT
ejpam-3273	9	17	namely	namely	ADV
ejpam-3273	9	18	ρ	ρ	NOUN
ejpam-3273	9	19	:	:	PUNCT
ejpam-3273	9	20	b3	b3	PROPN
ejpam-3273	9	21	−→	−→	NOUN
ejpam-3273	9	22	gl(v	gl(v	NOUN
ejpam-3273	9	23	)	)	PUNCT
ejpam-3273	9	24	,	,	PUNCT
ejpam-3273	9	25	which	which	PRON
ejpam-3273	9	26	is	be	AUX
ejpam-3273	9	27	irreducible	irreducible	ADJ
ejpam-3273	9	28	on	on	ADP
ejpam-3273	9	29	the	the	DET
ejpam-3273	9	30	dimensional	dimensional	ADJ
ejpam-3273	9	31	vector	vector	NOUN
ejpam-3273	9	32	space	space	NOUN
ejpam-3273	9	33	v	v	NOUN
ejpam-3273	9	34	over	over	ADP
ejpam-3273	9	35	an	an	DET
ejpam-3273	9	36	algebraically	algebraically	ADV
ejpam-3273	9	37	closed	close	VERB
ejpam-3273	9	38	field	field	NOUN
ejpam-3273	9	39	f	f	NOUN
ejpam-3273	9	40	.	.	PUNCT
ejpam-3273	10	1	a	a	DET
ejpam-3273	10	2	complete	complete	ADJ
ejpam-3273	10	3	classification	classification	NOUN
ejpam-3273	10	4	of	of	ADP
ejpam-3273	10	5	irreducible	irreducible	ADJ
ejpam-3273	10	6	representations	representation	NOUN
ejpam-3273	10	7	of	of	ADP
ejpam-3273	10	8	the	the	DET
ejpam-3273	10	9	braid	braid	PROPN
ejpam-3273	10	10	group	group	PROPN
ejpam-3273	10	11	b3	b3	PROPN
ejpam-3273	10	12	was	be	AUX
ejpam-3273	10	13	given	give	VERB
ejpam-3273	10	14	by	by	ADP
ejpam-3273	10	15	tuba	tuba	NOUN
ejpam-3273	10	16	and	and	CCONJ
ejpam-3273	10	17	wenzl	wenzl	PROPN
ejpam-3273	10	18	,	,	PUNCT
ejpam-3273	10	19	for	for	ADP
ejpam-3273	10	20	dimensions	dimension	NOUN
ejpam-3273	10	21	d	d	X
ejpam-3273	10	22	≤	≤	ADV
ejpam-3273	10	23	5	5	NUM
ejpam-3273	10	24	(	(	PUNCT
ejpam-3273	10	25	see	see	VERB
ejpam-3273	10	26	[	[	X
ejpam-3273	10	27	7	7	NUM
ejpam-3273	10	28	]	]	NUM
ejpam-3273	10	29	)	)	PUNCT
ejpam-3273	10	30	.	.	PUNCT
ejpam-3273	11	1	this	this	PRON
ejpam-3273	11	2	was	be	AUX
ejpam-3273	11	3	done	do	VERB
ejpam-3273	11	4	by	by	ADP
ejpam-3273	11	5	assuming	assume	VERB
ejpam-3273	11	6	a	a	DET
ejpam-3273	11	7	certain	certain	ADJ
ejpam-3273	11	8	triangular	triangular	NOUN
ejpam-3273	11	9	form	form	NOUN
ejpam-3273	11	10	of	of	ADP
ejpam-3273	11	11	the	the	DET
ejpam-3273	11	12	matrices	matrix	NOUN
ejpam-3273	11	13	of	of	ADP
ejpam-3273	11	14	the	the	DET
ejpam-3273	11	15	generators	generator	NOUN
ejpam-3273	11	16	of	of	ADP
ejpam-3273	11	17	b3	b3	PROPN
ejpam-3273	11	18	.	.	PUNCT
ejpam-3273	12	1	albeverio	albeverio	PROPN
ejpam-3273	12	2	has	have	AUX
ejpam-3273	12	3	found	find	VERB
ejpam-3273	12	4	a	a	DET
ejpam-3273	12	5	class	class	NOUN
ejpam-3273	12	6	of	of	ADP
ejpam-3273	12	7	representations	representation	NOUN
ejpam-3273	12	8	of	of	ADP
ejpam-3273	12	9	b3	b3	PROPN
ejpam-3273	12	10	in	in	ADP
ejpam-3273	12	11	every	every	DET
ejpam-3273	12	12	dimension	dimension	NOUN
ejpam-3273	12	13	n	n	CCONJ
ejpam-3273	12	14	,	,	PUNCT
ejpam-3273	12	15	which	which	PRON
ejpam-3273	12	16	depends	depend	VERB
ejpam-3273	12	17	on	on	ADP
ejpam-3273	12	18	n	n	DET
ejpam-3273	12	19	parameters	parameter	NOUN
ejpam-3273	12	20	[	[	X
ejpam-3273	12	21	1	1	NUM
ejpam-3273	12	22	]	]	PUNCT
ejpam-3273	12	23	.	.	PUNCT
ejpam-3273	13	1	the	the	DET
ejpam-3273	13	2	author	author	NOUN
ejpam-3273	13	3	in	in	ADP
ejpam-3273	13	4	that	that	DET
ejpam-3273	13	5	work	work	NOUN
ejpam-3273	13	6	uses	use	VERB
ejpam-3273	13	7	a	a	DET
ejpam-3273	13	8	deformation	deformation	NOUN
ejpam-3273	13	9	of	of	ADP
ejpam-3273	13	10	pascal	pascal	PROPN
ejpam-3273	13	11	’s	’s	PART
ejpam-3273	13	12	triangle	triangle	NOUN
ejpam-3273	13	13	connected	connect	VERB
ejpam-3273	13	14	with	with	ADP
ejpam-3273	13	15	qshifted	qshifte	VERB
ejpam-3273	13	16	factorials	factorial	NOUN
ejpam-3273	13	17	to	to	PART
ejpam-3273	13	18	get	get	VERB
ejpam-3273	13	19	the	the	DET
ejpam-3273	13	20	representations	representation	NOUN
ejpam-3273	13	21	,	,	PUNCT
ejpam-3273	13	22	and	and	CCONJ
ejpam-3273	13	23	this	this	PRON
ejpam-3273	13	24	generalizes	generalize	VERB
ejpam-3273	13	25	the	the	DET
ejpam-3273	13	26	work	work	NOUN
ejpam-3273	13	27	of	of	ADP
ejpam-3273	13	28	tuba	tuba	NOUN
ejpam-3273	13	29	and	and	CCONJ
ejpam-3273	13	30	wenzl	wenzl	PROPN
ejpam-3273	13	31	who	who	PRON
ejpam-3273	13	32	classified	classify	VERB
ejpam-3273	13	33	all	all	DET
ejpam-3273	13	34	irreducible	irreducible	ADJ
ejpam-3273	13	35	representations	representation	NOUN
ejpam-3273	13	36	of	of	ADP
ejpam-3273	13	37	b3	b3	PROPN
ejpam-3273	13	38	for	for	ADP
ejpam-3273	13	39	dimensions	dimension	NOUN
ejpam-3273	14	1	d	d	X
ejpam-3273	14	2	≤	≤	ADV
ejpam-3273	14	3	5	5	NUM
ejpam-3273	15	1	[	[	X
ejpam-3273	15	2	7	7	NUM
ejpam-3273	15	3	]	]	PUNCT
ejpam-3273	15	4	.	.	PUNCT
ejpam-3273	16	1	this	this	PRON
ejpam-3273	16	2	is	be	AUX
ejpam-3273	16	3	also	also	ADV
ejpam-3273	16	4	a	a	DET
ejpam-3273	16	5	generalization	generalization	NOUN
ejpam-3273	16	6	of	of	ADP
ejpam-3273	16	7	the	the	DET
ejpam-3273	16	8	results	result	NOUN
ejpam-3273	16	9	of	of	ADP
ejpam-3273	16	10	humphries	humphrie	NOUN
ejpam-3273	16	11	,	,	PUNCT
ejpam-3273	16	12	who	who	PRON
ejpam-3273	16	13	constructed	construct	VERB
ejpam-3273	16	14	the	the	DET
ejpam-3273	16	15	representations	representation	NOUN
ejpam-3273	16	16	of	of	ADP
ejpam-3273	16	17	the	the	DET
ejpam-3273	16	18	braid	braid	PROPN
ejpam-3273	16	19	group	group	NOUN
ejpam-3273	16	20	b3	b3	PROPN
ejpam-3273	16	21	in	in	ADP
ejpam-3273	16	22	arbitrary	arbitrary	ADJ
ejpam-3273	16	23	dimension	dimension	NOUN
ejpam-3273	16	24	using	use	VERB
ejpam-3273	16	25	the	the	DET
ejpam-3273	16	26	classical	classical	ADJ
ejpam-3273	16	27	pascal	pascal	ADJ
ejpam-3273	16	28	triangle	triangle	NOUN
ejpam-3273	17	1	[	[	X
ejpam-3273	17	2	3	3	NUM
ejpam-3273	17	3	]	]	PUNCT
ejpam-3273	17	4	.	.	PUNCT
ejpam-3273	17	5	le	le	PUNCT
ejpam-3273	17	6	∗corresponding	∗corresponde	VERB
ejpam-3273	17	7	author	author	NOUN
ejpam-3273	17	8	.	.	PUNCT
ejpam-3273	18	1	doi	doi	NOUN
ejpam-3273	18	2	:	:	PUNCT
ejpam-3273	18	3	https://doi.org/10.29020/nybg.ejpam.v11i3.3273	https://doi.org/10.29020/nybg.ejpam.v11i3.3273	PROPN
ejpam-3273	18	4	email	email	NOUN
ejpam-3273	18	5	addresses	address	NOUN
ejpam-3273	18	6	:	:	PUNCT
ejpam-3273	19	1	hah339@student.bau.edu.lb	hah339@student.bau.edu.lb	NUM
ejpam-3273	19	2	(	(	PUNCT
ejpam-3273	19	3	h.	h.	PROPN
ejpam-3273	19	4	a.	a.	PROPN
ejpam-3273	19	5	haidar	haidar	PROPN
ejpam-3273	19	6	)	)	PUNCT
ejpam-3273	19	7	,	,	PUNCT
ejpam-3273	20	1	mna@bau.edu.lb	mna@bau.edu.lb	PROPN
ejpam-3273	20	2	(	(	PUNCT
ejpam-3273	20	3	m.	m.	PROPN
ejpam-3273	20	4	n.	n.	PROPN
ejpam-3273	20	5	abdulrahim	abdulrahim	PROPN
ejpam-3273	20	6	)	)	PUNCT
ejpam-3273	20	7	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3273	21	1	682	682	NUM
ejpam-3273	21	2	c	c	NOUN
ejpam-3273	21	3	©	©	PROPN
ejpam-3273	21	4	2018	2018	NUM
ejpam-3273	21	5	ejpam	ejpam	VERB
ejpam-3273	21	6	all	all	DET
ejpam-3273	21	7	rights	right	NOUN
ejpam-3273	21	8	reserved	reserve	VERB
ejpam-3273	21	9	.	.	PUNCT
ejpam-3273	22	1	h.	h.	PROPN
ejpam-3273	22	2	a.	a.	PROPN
ejpam-3273	22	3	haidar	haidar	PROPN
ejpam-3273	22	4	,	,	PUNCT
ejpam-3273	22	5	m.	m.	PROPN
ejpam-3273	22	6	n.	n.	PROPN
ejpam-3273	22	7	abdulrahim	abdulrahim	PROPN
ejpam-3273	22	8	/	/	SYM
ejpam-3273	22	9	eur	eur	PROPN
ejpam-3273	22	10	.	.	PUNCT
ejpam-3273	23	1	j.	j.	PROPN
ejpam-3273	23	2	pure	pure	PROPN
ejpam-3273	23	3	appl	appl	PROPN
ejpam-3273	23	4	.	.	PROPN
ejpam-3273	23	5	math	math	PROPN
ejpam-3273	23	6	,	,	PUNCT
ejpam-3273	23	7	11	11	NUM
ejpam-3273	23	8	(	(	PUNCT
ejpam-3273	23	9	3	3	NUM
ejpam-3273	23	10	)	)	PUNCT
ejpam-3273	23	11	(	(	PUNCT
ejpam-3273	23	12	2018	2018	NUM
ejpam-3273	23	13	)	)	PUNCT
ejpam-3273	23	14	,	,	PUNCT
ejpam-3273	23	15	682	682	NUM
ejpam-3273	23	16	-	-	SYM
ejpam-3273	23	17	701	701	NUM
ejpam-3273	23	18	683	683	NUM
ejpam-3273	23	19	bruyn	bruyn	NOUN
ejpam-3273	23	20	in	in	ADP
ejpam-3273	23	21	[	[	X
ejpam-3273	23	22	4	4	NUM
ejpam-3273	23	23	]	]	PUNCT
ejpam-3273	23	24	proved	prove	VERB
ejpam-3273	23	25	that	that	SCONJ
ejpam-3273	23	26	all	all	DET
ejpam-3273	23	27	the	the	DET
ejpam-3273	23	28	components	component	NOUN
ejpam-3273	23	29	of	of	ADP
ejpam-3273	23	30	n	n	CCONJ
ejpam-3273	23	31	-	-	PUNCT
ejpam-3273	23	32	dimensional	dimensional	ADJ
ejpam-3273	23	33	irreducible	irreducible	ADJ
ejpam-3273	23	34	representations	representation	NOUN
ejpam-3273	23	35	of	of	ADP
ejpam-3273	23	36	b3	b3	PROPN
ejpam-3273	23	37	are	be	AUX
ejpam-3273	23	38	densely	densely	ADV
ejpam-3273	23	39	parametrized	parametrize	VERB
ejpam-3273	23	40	by	by	ADP
ejpam-3273	23	41	rational	rational	ADJ
ejpam-3273	23	42	quiver	quiver	NOUN
ejpam-3273	23	43	varieties	variety	NOUN
ejpam-3273	23	44	and	and	CCONJ
ejpam-3273	23	45	the	the	DET
ejpam-3273	23	46	explicit	explicit	ADJ
ejpam-3273	23	47	parametrizations	parametrization	NOUN
ejpam-3273	23	48	are	be	AUX
ejpam-3273	23	49	given	give	VERB
ejpam-3273	23	50	for	for	ADP
ejpam-3273	23	51	n	n	X
ejpam-3273	23	52	<	<	X
ejpam-3273	23	53	12	12	NUM
ejpam-3273	23	54	.	.	PUNCT
ejpam-3273	24	1	then	then	ADV
ejpam-3273	24	2	le	le	X
ejpam-3273	24	3	bruyn	bruyn	NOUN
ejpam-3273	24	4	in	in	ADP
ejpam-3273	24	5	[	[	X
ejpam-3273	24	6	5	5	NUM
ejpam-3273	24	7	]	]	PUNCT
ejpam-3273	24	8	extended	extend	VERB
ejpam-3273	24	9	all	all	DET
ejpam-3273	24	10	this	this	PRON
ejpam-3273	24	11	by	by	ADP
ejpam-3273	24	12	establishing	establish	VERB
ejpam-3273	24	13	such	such	ADJ
ejpam-3273	24	14	parametrizations	parametrization	NOUN
ejpam-3273	24	15	for	for	ADP
ejpam-3273	24	16	all	all	DET
ejpam-3273	24	17	finite	finite	ADJ
ejpam-3273	24	18	dimensions	dimension	NOUN
ejpam-3273	24	19	n	n	CCONJ
ejpam-3273	24	20	,	,	PUNCT
ejpam-3273	24	21	which	which	PRON
ejpam-3273	24	22	also	also	ADV
ejpam-3273	24	23	generalizes	generalize	VERB
ejpam-3273	24	24	the	the	DET
ejpam-3273	24	25	work	work	NOUN
ejpam-3273	24	26	of	of	ADP
ejpam-3273	24	27	tuba	tuba	NOUN
ejpam-3273	24	28	and	and	CCONJ
ejpam-3273	24	29	wenzl	wenzl	PROPN
ejpam-3273	24	30	.	.	PUNCT
ejpam-3273	25	1	also	also	ADV
ejpam-3273	25	2	,	,	PUNCT
ejpam-3273	25	3	researchers	researcher	NOUN
ejpam-3273	25	4	gave	give	VERB
ejpam-3273	25	5	a	a	DET
ejpam-3273	25	6	great	great	ADJ
ejpam-3273	25	7	value	value	NOUN
ejpam-3273	25	8	for	for	ADP
ejpam-3273	25	9	representations	representation	NOUN
ejpam-3273	25	10	of	of	ADP
ejpam-3273	25	11	the	the	DET
ejpam-3273	25	12	pure	pure	ADJ
ejpam-3273	25	13	braid	braid	PROPN
ejpam-3273	25	14	group	group	NOUN
ejpam-3273	25	15	pn	pn	PROPN
ejpam-3273	25	16	,	,	PUNCT
ejpam-3273	25	17	the	the	DET
ejpam-3273	25	18	normal	normal	ADJ
ejpam-3273	25	19	subgroup	subgroup	NOUN
ejpam-3273	25	20	of	of	ADP
ejpam-3273	25	21	bn	bn	PROPN
ejpam-3273	25	22	.	.	PUNCT
ejpam-3273	26	1	recently	recently	ADV
ejpam-3273	26	2	,	,	PUNCT
ejpam-3273	26	3	n.	n.	NOUN
ejpam-3273	26	4	maanna	maanna	NOUN
ejpam-3273	26	5	and	and	CCONJ
ejpam-3273	26	6	m.	m.	NOUN
ejpam-3273	26	7	abdulrahim	abdulrahim	PROPN
ejpam-3273	26	8	gave	give	VERB
ejpam-3273	26	9	a	a	DET
ejpam-3273	26	10	necessary	necessary	ADJ
ejpam-3273	26	11	and	and	CCONJ
ejpam-3273	26	12	sufficient	sufficient	ADJ
ejpam-3273	26	13	condition	condition	NOUN
ejpam-3273	26	14	for	for	ADP
ejpam-3273	26	15	the	the	DET
ejpam-3273	26	16	irreducibility	irreducibility	NOUN
ejpam-3273	26	17	of	of	ADP
ejpam-3273	26	18	the	the	DET
ejpam-3273	26	19	tuba	tuba	NOUN
ejpam-3273	26	20	’s	’s	PART
ejpam-3273	26	21	representation	representation	NOUN
ejpam-3273	26	22	of	of	ADP
ejpam-3273	26	23	pure	pure	ADJ
ejpam-3273	26	24	braid	braid	PROPN
ejpam-3273	26	25	group	group	NOUN
ejpam-3273	26	26	p3	p3	PROPN
ejpam-3273	26	27	for	for	ADP
ejpam-3273	26	28	dimensions	dimension	NOUN
ejpam-3273	26	29	2	2	NUM
ejpam-3273	26	30	and	and	CCONJ
ejpam-3273	26	31	3	3	NUM
ejpam-3273	26	32	(	(	PUNCT
ejpam-3273	26	33	see	see	VERB
ejpam-3273	26	34	[	[	X
ejpam-3273	26	35	6	6	NUM
ejpam-3273	26	36	]	]	NUM
ejpam-3273	26	37	)	)	PUNCT
ejpam-3273	26	38	.	.	PUNCT
ejpam-3273	27	1	in	in	ADP
ejpam-3273	27	2	our	our	PRON
ejpam-3273	27	3	work	work	NOUN
ejpam-3273	27	4	,	,	PUNCT
ejpam-3273	27	5	we	we	PRON
ejpam-3273	27	6	mainly	mainly	ADV
ejpam-3273	27	7	consider	consider	VERB
ejpam-3273	27	8	the	the	DET
ejpam-3273	27	9	irreducibility	irreducibility	NOUN
ejpam-3273	27	10	criteria	criterion	NOUN
ejpam-3273	27	11	of	of	ADP
ejpam-3273	27	12	tuba	tuba	PROPN
ejpam-3273	27	13	’s	’s	PART
ejpam-3273	27	14	representation	representation	NOUN
ejpam-3273	27	15	of	of	ADP
ejpam-3273	27	16	the	the	DET
ejpam-3273	27	17	pure	pure	ADJ
ejpam-3273	27	18	braid	braid	PROPN
ejpam-3273	27	19	group	group	PROPN
ejpam-3273	27	20	p3	p3	PROPN
ejpam-3273	27	21	,	,	PUNCT
ejpam-3273	27	22	with	with	ADP
ejpam-3273	27	23	dimension	dimension	NOUN
ejpam-3273	27	24	four	four	NUM
ejpam-3273	27	25	.	.	PUNCT
ejpam-3273	28	1	our	our	PRON
ejpam-3273	28	2	main	main	ADJ
ejpam-3273	28	3	result	result	NOUN
ejpam-3273	28	4	is	be	AUX
ejpam-3273	28	5	theorem	theorem	VERB
ejpam-3273	28	6	11	11	NUM
ejpam-3273	28	7	,	,	PUNCT
ejpam-3273	28	8	which	which	PRON
ejpam-3273	28	9	determines	determine	VERB
ejpam-3273	28	10	sufficient	sufficient	ADJ
ejpam-3273	28	11	conditions	condition	NOUN
ejpam-3273	28	12	for	for	ADP
ejpam-3273	28	13	the	the	DET
ejpam-3273	28	14	irreducibility	irreducibility	NOUN
ejpam-3273	28	15	of	of	ADP
ejpam-3273	28	16	tuba	tuba	PROPN
ejpam-3273	28	17	’s	’s	PART
ejpam-3273	28	18	representation	representation	NOUN
ejpam-3273	28	19	of	of	ADP
ejpam-3273	28	20	p3	p3	PROPN
ejpam-3273	28	21	with	with	ADP
ejpam-3273	28	22	dimension	dimension	NOUN
ejpam-3273	28	23	d	d	X
ejpam-3273	28	24	=	=	SYM
ejpam-3273	28	25	4	4	X
ejpam-3273	28	26	.	.	PUNCT
ejpam-3273	29	1	under	under	ADP
ejpam-3273	29	2	further	further	ADJ
ejpam-3273	29	3	restriction	restriction	NOUN
ejpam-3273	29	4	on	on	ADP
ejpam-3273	29	5	the	the	DET
ejpam-3273	29	6	indeterminates	indeterminate	NOUN
ejpam-3273	29	7	used	use	VERB
ejpam-3273	29	8	in	in	ADP
ejpam-3273	29	9	defining	define	VERB
ejpam-3273	29	10	tuba	tuba	NOUN
ejpam-3273	29	11	’s	’s	PART
ejpam-3273	29	12	representation	representation	NOUN
ejpam-3273	29	13	of	of	ADP
ejpam-3273	29	14	dimension	dimension	NOUN
ejpam-3273	29	15	4	4	NUM
ejpam-3273	29	16	,	,	PUNCT
ejpam-3273	29	17	we	we	PRON
ejpam-3273	29	18	get	get	VERB
ejpam-3273	29	19	a	a	DET
ejpam-3273	29	20	necessary	necessary	ADJ
ejpam-3273	29	21	and	and	CCONJ
ejpam-3273	29	22	sufficient	sufficient	ADJ
ejpam-3273	29	23	condition	condition	NOUN
ejpam-3273	29	24	for	for	ADP
ejpam-3273	29	25	the	the	DET
ejpam-3273	29	26	irreducibility	irreducibility	NOUN
ejpam-3273	29	27	of	of	ADP
ejpam-3273	29	28	the	the	DET
ejpam-3273	29	29	representation	representation	NOUN
ejpam-3273	29	30	.	.	PUNCT
ejpam-3273	30	1	this	this	PRON
ejpam-3273	30	2	will	will	AUX
ejpam-3273	30	3	be	be	AUX
ejpam-3273	30	4	corollary	corollary	ADJ
ejpam-3273	30	5	12	12	NUM
ejpam-3273	30	6	.	.	PUNCT
ejpam-3273	31	1	2	2	NUM
ejpam-3273	31	2	.	.	X
ejpam-3273	31	3	preliminaries	preliminary	NOUN
ejpam-3273	31	4	definition	definition	NOUN
ejpam-3273	31	5	1	1	NUM
ejpam-3273	31	6	.	.	PUNCT
ejpam-3273	32	1	[	[	X
ejpam-3273	32	2	2	2	X
ejpam-3273	32	3	]	]	PUNCT
ejpam-3273	32	4	the	the	DET
ejpam-3273	32	5	braid	braid	PROPN
ejpam-3273	32	6	group	group	NOUN
ejpam-3273	32	7	on	on	ADP
ejpam-3273	32	8	n	n	DET
ejpam-3273	32	9	strings	string	NOUN
ejpam-3273	32	10	,	,	PUNCT
ejpam-3273	32	11	bn	bn	ADV
ejpam-3273	32	12	,	,	PUNCT
ejpam-3273	32	13	is	be	AUX
ejpam-3273	32	14	the	the	DET
ejpam-3273	32	15	abstract	abstract	ADJ
ejpam-3273	32	16	group	group	NOUN
ejpam-3273	32	17	with	with	ADP
ejpam-3273	32	18	presentation	presentation	NOUN
ejpam-3273	32	19	bn	bn	ADP
ejpam-3273	32	20	=	=	SYM
ejpam-3273	32	21	{	{	PUNCT
ejpam-3273	32	22	σ1	σ1	PROPN
ejpam-3273	32	23	,	,	PUNCT
ejpam-3273	32	24	...	...	PUNCT
ejpam-3273	32	25	,	,	PUNCT
ejpam-3273	32	26	σn−1	σn−1	PROPN
ejpam-3273	32	27	;	;	PUNCT
ejpam-3273	32	28	σiσi+1σi	σiσi+1σi	PROPN
ejpam-3273	32	29	=	=	SYM
ejpam-3273	32	30	σi+1σiσi+1	σi+1σiσi+1	PROPN
ejpam-3273	32	31	,	,	PUNCT
ejpam-3273	32	32	for	for	ADP
ejpam-3273	32	33	i	i	PROPN
ejpam-3273	32	34	=	=	SYM
ejpam-3273	32	35	1	1	NUM
ejpam-3273	32	36	,	,	PUNCT
ejpam-3273	32	37	2	2	NUM
ejpam-3273	32	38	,	,	PUNCT
ejpam-3273	32	39	...	...	PUNCT
ejpam-3273	32	40	,	,	PUNCT
ejpam-3273	32	41	n−2	n−2	PROPN
ejpam-3273	32	42	,	,	PUNCT
ejpam-3273	32	43	σiσj	σiσj	ADJ
ejpam-3273	32	44	=	=	X
ejpam-3273	32	45	σjσi	σjσi	NOUN
ejpam-3273	32	46	if	if	SCONJ
ejpam-3273	32	47	|i−	|i−	NOUN
ejpam-3273	32	48	j|	j|	PROPN
ejpam-3273	32	49	�	�	PROPN
ejpam-3273	32	50	1	1	NUM
ejpam-3273	32	51	}	}	PUNCT
ejpam-3273	32	52	.	.	PUNCT
ejpam-3273	33	1	the	the	DET
ejpam-3273	33	2	generators	generator	NOUN
ejpam-3273	33	3	σ1	σ1	PROPN
ejpam-3273	33	4	,	,	PUNCT
ejpam-3273	33	5	...	...	PUNCT
ejpam-3273	33	6	,	,	PUNCT
ejpam-3273	33	7	σn−1	σn−1	PROPN
ejpam-3273	33	8	are	be	AUX
ejpam-3273	33	9	called	call	VERB
ejpam-3273	33	10	the	the	DET
ejpam-3273	33	11	standard	standard	ADJ
ejpam-3273	33	12	generators	generator	NOUN
ejpam-3273	33	13	of	of	ADP
ejpam-3273	33	14	bn	bn	PROPN
ejpam-3273	33	15	.	.	PUNCT
ejpam-3273	34	1	definition	definition	NOUN
ejpam-3273	34	2	2	2	NUM
ejpam-3273	34	3	.	.	PUNCT
ejpam-3273	35	1	[	[	X
ejpam-3273	35	2	2	2	X
ejpam-3273	35	3	]	]	PUNCT
ejpam-3273	35	4	the	the	DET
ejpam-3273	35	5	pure	pure	ADJ
ejpam-3273	35	6	braid	braid	NOUN
ejpam-3273	35	7	group	group	NOUN
ejpam-3273	35	8	,	,	PUNCT
ejpam-3273	35	9	pn	pn	PROPN
ejpam-3273	35	10	,	,	PUNCT
ejpam-3273	35	11	is	be	AUX
ejpam-3273	35	12	defined	define	VERB
ejpam-3273	35	13	as	as	ADP
ejpam-3273	35	14	the	the	DET
ejpam-3273	35	15	kernel	kernel	NOUN
ejpam-3273	35	16	of	of	ADP
ejpam-3273	35	17	the	the	DET
ejpam-3273	35	18	homomorphism	homomorphism	PROPN
ejpam-3273	35	19	bn	bn	ADP
ejpam-3273	35	20	−→	−→	PROPN
ejpam-3273	35	21	sn	sn	PROPN
ejpam-3273	35	22	,	,	PUNCT
ejpam-3273	35	23	defined	define	VERB
ejpam-3273	35	24	by	by	ADP
ejpam-3273	35	25	σi	σi	PRON
ejpam-3273	35	26	−→	−→	NOUN
ejpam-3273	35	27	(	(	PUNCT
ejpam-3273	35	28	i	i	PROPN
ejpam-3273	35	29	,	,	PUNCT
ejpam-3273	35	30	i+	i+	NUM
ejpam-3273	35	31	1	1	NUM
ejpam-3273	35	32	)	)	PUNCT
ejpam-3273	35	33	,	,	PUNCT
ejpam-3273	35	34	1	1	NUM
ejpam-3273	35	35	≤	≤	NUM
ejpam-3273	36	1	i	i	PRON
ejpam-3273	36	2	≤	≤	ADJ
ejpam-3273	36	3	n−	n−	NOUN
ejpam-3273	36	4	1	1	NUM
ejpam-3273	36	5	.	.	PUNCT
ejpam-3273	37	1	it	it	PRON
ejpam-3273	37	2	has	have	VERB
ejpam-3273	37	3	the	the	DET
ejpam-3273	37	4	following	follow	VERB
ejpam-3273	37	5	generators	generator	NOUN
ejpam-3273	37	6	:	:	PUNCT
ejpam-3273	37	7	aij	aij	PROPN
ejpam-3273	37	8	=	=	SYM
ejpam-3273	37	9	σj−1σj−2	σj−1σj−2	PROPN
ejpam-3273	37	10	...	...	PUNCT
ejpam-3273	37	11	σi+1σ	σi+1σ	NOUN
ejpam-3273	37	12	2	2	NUM
ejpam-3273	38	1	i	i	PRON
ejpam-3273	38	2	σ	σ	VERB
ejpam-3273	38	3	−1	−1	NOUN
ejpam-3273	38	4	i+1	i+1	NOUN
ejpam-3273	38	5	...	...	PUNCT
ejpam-3273	38	6	σ	σ	NUM
ejpam-3273	38	7	−1	−1	NOUN
ejpam-3273	38	8	j−2σ	j−2σ	PROPN
ejpam-3273	38	9	−1	−1	NOUN
ejpam-3273	38	10	j−1	j−1	PROPN
ejpam-3273	38	11	,	,	PUNCT
ejpam-3273	38	12	1	1	NUM
ejpam-3273	38	13	≤	≤	PUNCT
ejpam-3273	38	14	i	i	PRON
ejpam-3273	38	15	,	,	PUNCT
ejpam-3273	38	16	j	j	PROPN
ejpam-3273	38	17	≤	≤	PUNCT
ejpam-3273	38	18	n	n	PRON
ejpam-3273	38	19	definition	definition	NOUN
ejpam-3273	38	20	3	3	NUM
ejpam-3273	38	21	.	.	PUNCT
ejpam-3273	39	1	a	a	DET
ejpam-3273	39	2	representation	representation	NOUN
ejpam-3273	39	3	is	be	AUX
ejpam-3273	39	4	a	a	DET
ejpam-3273	39	5	map	map	NOUN
ejpam-3273	39	6	γ	γ	X
ejpam-3273	39	7	:	:	PUNCT
ejpam-3273	39	8	g	g	ADP
ejpam-3273	39	9	−→	−→	NOUN
ejpam-3273	39	10	gl(v	gl(v	NOUN
ejpam-3273	39	11	)	)	PUNCT
ejpam-3273	39	12	,	,	PUNCT
ejpam-3273	39	13	where	where	SCONJ
ejpam-3273	39	14	g	g	PROPN
ejpam-3273	39	15	is	be	AUX
ejpam-3273	39	16	a	a	DET
ejpam-3273	39	17	group	group	NOUN
ejpam-3273	39	18	and	and	CCONJ
ejpam-3273	39	19	gl(v	gl(v	NUM
ejpam-3273	39	20	)	)	PUNCT
ejpam-3273	39	21	is	be	AUX
ejpam-3273	39	22	the	the	DET
ejpam-3273	39	23	group	group	NOUN
ejpam-3273	39	24	of	of	ADP
ejpam-3273	39	25	n×	n×	PROPN
ejpam-3273	39	26	n	n	CCONJ
ejpam-3273	39	27	invertible	invertible	ADJ
ejpam-3273	39	28	matrices	matrix	NOUN
ejpam-3273	39	29	over	over	ADP
ejpam-3273	39	30	the	the	DET
ejpam-3273	39	31	algebraically	algebraically	ADV
ejpam-3273	39	32	closed	closed	ADJ
ejpam-3273	39	33	field	field	NOUN
ejpam-3273	39	34	v	v	NOUN
ejpam-3273	39	35	.	.	PUNCT
ejpam-3273	40	1	definition	definition	NOUN
ejpam-3273	40	2	4	4	NUM
ejpam-3273	40	3	.	.	PUNCT
ejpam-3273	41	1	a	a	DET
ejpam-3273	41	2	representation	representation	NOUN
ejpam-3273	41	3	γ	γ	X
ejpam-3273	41	4	:	:	PUNCT
ejpam-3273	41	5	g	g	ADP
ejpam-3273	41	6	−→	−→	NOUN
ejpam-3273	41	7	gl(v	gl(v	NUM
ejpam-3273	41	8	)	)	PUNCT
ejpam-3273	41	9	is	be	AUX
ejpam-3273	41	10	said	say	VERB
ejpam-3273	41	11	to	to	PART
ejpam-3273	41	12	be	be	AUX
ejpam-3273	41	13	irreducible	irreducible	ADJ
ejpam-3273	41	14	if	if	SCONJ
ejpam-3273	41	15	it	it	PRON
ejpam-3273	41	16	has	have	VERB
ejpam-3273	41	17	no	no	DET
ejpam-3273	41	18	non	non	ADJ
ejpam-3273	41	19	trivial	trivial	ADJ
ejpam-3273	41	20	proper	proper	ADJ
ejpam-3273	41	21	invariant	invariant	ADJ
ejpam-3273	41	22	subspaces	subspace	NOUN
ejpam-3273	41	23	.	.	PUNCT
ejpam-3273	42	1	3	3	X
ejpam-3273	42	2	.	.	X
ejpam-3273	42	3	tuba	tuba	PROPN
ejpam-3273	42	4	’s	’s	PART
ejpam-3273	42	5	representation	representation	NOUN
ejpam-3273	42	6	of	of	ADP
ejpam-3273	42	7	b3	b3	PROPN
ejpam-3273	42	8	imre	imre	PROPN
ejpam-3273	42	9	tuba	tuba	PROPN
ejpam-3273	42	10	and	and	CCONJ
ejpam-3273	42	11	hans	hans	PROPN
ejpam-3273	42	12	wenzl	wenzl	PROPN
ejpam-3273	42	13	gave	give	VERB
ejpam-3273	42	14	a	a	DET
ejpam-3273	42	15	complete	complete	ADJ
ejpam-3273	42	16	classification	classification	NOUN
ejpam-3273	42	17	of	of	ADP
ejpam-3273	42	18	all	all	DET
ejpam-3273	42	19	simple	simple	ADJ
ejpam-3273	42	20	representations	representation	NOUN
ejpam-3273	42	21	of	of	ADP
ejpam-3273	42	22	b3	b3	PROPN
ejpam-3273	42	23	with	with	ADP
ejpam-3273	42	24	dimensions	dimension	NOUN
ejpam-3273	42	25	d	d	X
ejpam-3273	42	26	≤	≤	NOUN
ejpam-3273	42	27	5	5	NUM
ejpam-3273	42	28	by	by	ADP
ejpam-3273	42	29	assuming	assume	VERB
ejpam-3273	42	30	a	a	DET
ejpam-3273	42	31	certain	certain	ADJ
ejpam-3273	42	32	triangular	triangular	NOUN
ejpam-3273	42	33	form	form	NOUN
ejpam-3273	42	34	for	for	ADP
ejpam-3273	42	35	the	the	DET
ejpam-3273	42	36	invertible	invertible	ADJ
ejpam-3273	42	37	d×d	d×d	PROPN
ejpam-3273	42	38	matrices	matrice	VERB
ejpam-3273	42	39	a	a	PRON
ejpam-3273	42	40	and	and	CCONJ
ejpam-3273	42	41	b	b	NOUN
ejpam-3273	42	42	of	of	ADP
ejpam-3273	42	43	the	the	DET
ejpam-3273	42	44	generators	generator	NOUN
ejpam-3273	42	45	of	of	ADP
ejpam-3273	42	46	b3	b3	PROPN
ejpam-3273	42	47	that	that	PRON
ejpam-3273	42	48	satisfy	satisfy	VERB
ejpam-3273	42	49	aba	aba	PROPN
ejpam-3273	42	50	=	=	SYM
ejpam-3273	42	51	bab	bab	PROPN
ejpam-3273	42	52	.	.	PUNCT
ejpam-3273	43	1	in	in	ADP
ejpam-3273	43	2	particular	particular	ADJ
ejpam-3273	43	3	,	,	PUNCT
ejpam-3273	43	4	they	they	PRON
ejpam-3273	43	5	proved	prove	VERB
ejpam-3273	43	6	that	that	SCONJ
ejpam-3273	43	7	a	a	DET
ejpam-3273	43	8	simple	simple	ADJ
ejpam-3273	43	9	d−	d−	ADJ
ejpam-3273	43	10	dimensional	dimensional	ADJ
ejpam-3273	43	11	representation	representation	NOUN
ejpam-3273	43	12	ϕ	ϕ	NOUN
ejpam-3273	43	13	:	:	PUNCT
ejpam-3273	43	14	b3	b3	PROPN
ejpam-3273	43	15	−→	−→	NOUN
ejpam-3273	43	16	gl(v	gl(v	NOUN
ejpam-3273	43	17	)	)	PUNCT
ejpam-3273	43	18	is	be	AUX
ejpam-3273	43	19	determined	determine	VERB
ejpam-3273	43	20	,	,	PUNCT
ejpam-3273	43	21	up	up	ADP
ejpam-3273	43	22	to	to	ADP
ejpam-3273	43	23	isomorphism	isomorphism	NOUN
ejpam-3273	43	24	,	,	PUNCT
ejpam-3273	43	25	by	by	ADP
ejpam-3273	43	26	the	the	DET
ejpam-3273	43	27	eigenvalues	eigenvalue	NOUN
ejpam-3273	43	28	λ1	λ1	ADJ
ejpam-3273	43	29	,	,	PUNCT
ejpam-3273	43	30	...	...	PUNCT
ejpam-3273	43	31	λd	λd	NOUN
ejpam-3273	43	32	of	of	ADP
ejpam-3273	43	33	the	the	DET
ejpam-3273	43	34	images	image	NOUN
ejpam-3273	43	35	of	of	ADP
ejpam-3273	43	36	the	the	DET
ejpam-3273	43	37	generators	generator	NOUN
ejpam-3273	43	38	σ1	σ1	PROPN
ejpam-3273	43	39	and	and	CCONJ
ejpam-3273	43	40	σ2	σ2	PROPN
ejpam-3273	43	41	of	of	ADP
ejpam-3273	43	42	b3	b3	PROPN
ejpam-3273	43	43	.	.	PUNCT
ejpam-3273	44	1	for	for	ADP
ejpam-3273	44	2	more	more	ADJ
ejpam-3273	44	3	details	detail	NOUN
ejpam-3273	44	4	,	,	PUNCT
ejpam-3273	44	5	see	see	VERB
ejpam-3273	44	6	[	[	X
ejpam-3273	44	7	7	7	NUM
ejpam-3273	44	8	]	]	PUNCT
ejpam-3273	44	9	.	.	PUNCT
ejpam-3273	45	1	below	below	ADV
ejpam-3273	45	2	,	,	PUNCT
ejpam-3273	45	3	we	we	PRON
ejpam-3273	45	4	write	write	VERB
ejpam-3273	45	5	the	the	DET
ejpam-3273	45	6	explicit	explicit	ADJ
ejpam-3273	45	7	matrices	matrix	NOUN
ejpam-3273	45	8	in	in	ADP
ejpam-3273	45	9	the	the	DET
ejpam-3273	45	10	case	case	NOUN
ejpam-3273	45	11	d	d	X
ejpam-3273	45	12	=	=	SYM
ejpam-3273	45	13	4	4	X
ejpam-3273	45	14	.	.	PUNCT
ejpam-3273	45	15	h.	h.	PROPN
ejpam-3273	45	16	a.	a.	PROPN
ejpam-3273	45	17	haidar	haidar	PROPN
ejpam-3273	45	18	,	,	PUNCT
ejpam-3273	45	19	m.	m.	PROPN
ejpam-3273	45	20	n.	n.	PROPN
ejpam-3273	45	21	abdulrahim	abdulrahim	PROPN
ejpam-3273	45	22	/	/	SYM
ejpam-3273	45	23	eur	eur	PROPN
ejpam-3273	45	24	.	.	PUNCT
ejpam-3273	46	1	j.	j.	PROPN
ejpam-3273	46	2	pure	pure	PROPN
ejpam-3273	46	3	appl	appl	PROPN
ejpam-3273	46	4	.	.	PROPN
ejpam-3273	46	5	math	math	PROPN
ejpam-3273	46	6	,	,	PUNCT
ejpam-3273	46	7	11	11	NUM
ejpam-3273	46	8	(	(	PUNCT
ejpam-3273	46	9	3	3	NUM
ejpam-3273	46	10	)	)	PUNCT
ejpam-3273	46	11	(	(	PUNCT
ejpam-3273	46	12	2018	2018	NUM
ejpam-3273	46	13	)	)	PUNCT
ejpam-3273	46	14	,	,	PUNCT
ejpam-3273	46	15	682	682	NUM
ejpam-3273	46	16	-	-	SYM
ejpam-3273	46	17	701	701	NUM
ejpam-3273	46	18	684	684	NUM
ejpam-3273	46	19	proposition	proposition	NOUN
ejpam-3273	46	20	1	1	NUM
ejpam-3273	46	21	.	.	PUNCT
ejpam-3273	47	1	[	[	X
ejpam-3273	47	2	7	7	NUM
ejpam-3273	47	3	,	,	PUNCT
ejpam-3273	47	4	p.500	p.500	NUM
ejpam-3273	47	5	]	]	PUNCT
ejpam-3273	47	6	tuba	tuba	PROPN
ejpam-3273	47	7	′	′	NUM
ejpam-3273	47	8	s	s	VERB
ejpam-3273	47	9	representaion	representaion	NOUN
ejpam-3273	47	10	of	of	ADP
ejpam-3273	47	11	b3	b3	PROPN
ejpam-3273	47	12	of	of	ADP
ejpam-3273	47	13	dimension	dimension	NOUN
ejpam-3273	47	14	d	d	NOUN
ejpam-3273	48	1	=	=	SYM
ejpam-3273	48	2	4	4	NUM
ejpam-3273	48	3	is	be	AUX
ejpam-3273	48	4	defind	defind	NOUN
ejpam-3273	48	5	as	as	SCONJ
ejpam-3273	48	6	follows	follow	VERB
ejpam-3273	48	7	:	:	PUNCT
ejpam-3273	49	1	σ1−→	σ1−→	PROPN
ejpam-3273	49	2			PROPN
ejpam-3273	49	3	λ1	λ1	PROPN
ejpam-3273	49	4	(	(	PUNCT
ejpam-3273	49	5	1	1	NUM
ejpam-3273	49	6	+	+	ADJ
ejpam-3273	49	7	d−1	d−1	PROPN
ejpam-3273	49	8	+	+	PROPN
ejpam-3273	49	9	d−2)λ2	d−2)λ2	PROPN
ejpam-3273	49	10	(	(	PUNCT
ejpam-3273	49	11	1	1	NUM
ejpam-3273	49	12	+	+	ADJ
ejpam-3273	49	13	d−1	d−1	PROPN
ejpam-3273	49	14	+	+	ADJ
ejpam-3273	49	15	d−2)λ3	d−2)λ3	PROPN
ejpam-3273	49	16	λ4	λ4	PROPN
ejpam-3273	49	17	0	0	NUM
ejpam-3273	49	18	λ2	λ2	NOUN
ejpam-3273	49	19	(	(	PUNCT
ejpam-3273	49	20	1	1	NUM
ejpam-3273	49	21	+	+	NOUN
ejpam-3273	49	22	d−1)λ3	d−1)λ3	ADJ
ejpam-3273	49	23	λ4	λ4	NOUN
ejpam-3273	49	24	0	0	NUM
ejpam-3273	49	25	0	0	NUM
ejpam-3273	50	1	λ3	λ3	PROPN
ejpam-3273	50	2	λ4	λ4	PROPN
ejpam-3273	50	3	0	0	NUM
ejpam-3273	50	4	0	0	SYM
ejpam-3273	50	5	0	0	NUM
ejpam-3273	50	6	λ4	λ4	ADJ
ejpam-3273	50	7			NOUN
ejpam-3273	50	8	,	,	PUNCT
ejpam-3273	50	9	σ2	σ2	NOUN
ejpam-3273	50	10	−→	−→	NOUN
ejpam-3273	50	11			PROPN
ejpam-3273	50	12	λ4	λ4	NOUN
ejpam-3273	50	13	0	0	NUM
ejpam-3273	50	14	0	0	SYM
ejpam-3273	50	15	0	0	NUM
ejpam-3273	50	16	−λ3	−λ3	NOUN
ejpam-3273	50	17	λ3	λ3	PROPN
ejpam-3273	50	18	0	0	NUM
ejpam-3273	50	19	0	0	NUM
ejpam-3273	50	20	dλ2	dλ2	NOUN
ejpam-3273	50	21	−(d	−(d	NOUN
ejpam-3273	50	22	+	+	CCONJ
ejpam-3273	50	23	1)λ2	1)λ2	NUM
ejpam-3273	50	24	λ2	λ2	NOUN
ejpam-3273	50	25	0	0	PUNCT
ejpam-3273	51	1	−d3λ1	−d3λ1	NOUN
ejpam-3273	51	2	(	(	PUNCT
ejpam-3273	51	3	d3	d3	PROPN
ejpam-3273	51	4	+	+	SYM
ejpam-3273	51	5	d2	d2	PROPN
ejpam-3273	51	6	+	+	CCONJ
ejpam-3273	51	7	d)λ1	d)λ1	PROPN
ejpam-3273	51	8	−(d2	−(d2	NUM
ejpam-3273	51	9	+	+	NOUN
ejpam-3273	51	10	d	d	NOUN
ejpam-3273	51	11	+	+	SYM
ejpam-3273	51	12	1)λ1	1)λ1	NUM
ejpam-3273	51	13	λ1	λ1	ADJ
ejpam-3273	51	14			NOUN
ejpam-3273	51	15	,	,	PUNCT
ejpam-3273	51	16	where	where	SCONJ
ejpam-3273	51	17	λ1	λ1	ADJ
ejpam-3273	51	18	,	,	PUNCT
ejpam-3273	51	19	λ2	λ2	PROPN
ejpam-3273	51	20	,	,	PUNCT
ejpam-3273	51	21	λ3	λ3	PROPN
ejpam-3273	51	22	,	,	PUNCT
ejpam-3273	51	23	and	and	CCONJ
ejpam-3273	51	24	λ4	λ4	PROPN
ejpam-3273	51	25	are	be	AUX
ejpam-3273	51	26	indeterminates	indeterminate	NOUN
ejpam-3273	51	27	and	and	CCONJ
ejpam-3273	51	28	d	d	NOUN
ejpam-3273	51	29	=	=	PUNCT
ejpam-3273	51	30	√	√	NUM
ejpam-3273	51	31	λ2λ3	λ2λ3	NOUN
ejpam-3273	52	1	λ1λ4	λ1λ4	NOUN
ejpam-3273	52	2	.	.	PUNCT
ejpam-3273	53	1	proposition	proposition	NOUN
ejpam-3273	53	2	2	2	NUM
ejpam-3273	53	3	.	.	PUNCT
ejpam-3273	54	1	[	[	X
ejpam-3273	54	2	7	7	NUM
ejpam-3273	54	3	,	,	PUNCT
ejpam-3273	54	4	p.503	p.503	ADV
ejpam-3273	54	5	]	]	PUNCT
ejpam-3273	54	6	tuba	tuba	PROPN
ejpam-3273	54	7	’s	’s	PART
ejpam-3273	54	8	representation	representation	NOUN
ejpam-3273	54	9	of	of	ADP
ejpam-3273	54	10	b3	b3	PROPN
ejpam-3273	54	11	of	of	ADP
ejpam-3273	54	12	dimension	dimension	NOUN
ejpam-3273	54	13	four	four	NUM
ejpam-3273	54	14	is	be	AUX
ejpam-3273	54	15	irreducible	irreducible	ADJ
ejpam-3273	54	16	if	if	SCONJ
ejpam-3273	54	17	and	and	CCONJ
ejpam-3273	54	18	only	only	ADV
ejpam-3273	54	19	if	if	SCONJ
ejpam-3273	54	20	−γ−2	−γ−2	NUM
ejpam-3273	54	21	(	(	PUNCT
ejpam-3273	54	22	λ2r	λ2r	NOUN
ejpam-3273	54	23	+	+	CCONJ
ejpam-3273	54	24	γ2	γ2	NOUN
ejpam-3273	54	25	)	)	PUNCT
ejpam-3273	54	26	(	(	PUNCT
ejpam-3273	54	27	λ2s	λ2s	X
ejpam-3273	54	28	+	+	CCONJ
ejpam-3273	54	29	γ2	γ2	ADJ
ejpam-3273	54	30	)	)	PUNCT
ejpam-3273	54	31	(	(	PUNCT
ejpam-3273	54	32	γ2	γ2	NOUN
ejpam-3273	54	33	+	+	CCONJ
ejpam-3273	54	34	λrλk	λrλk	ADJ
ejpam-3273	54	35	+	+	CCONJ
ejpam-3273	54	36	λsλl	λsλl	NOUN
ejpam-3273	54	37	)	)	PUNCT
ejpam-3273	54	38	(	(	PUNCT
ejpam-3273	54	39	γ2	γ2	NOUN
ejpam-3273	54	40	+	+	CCONJ
ejpam-3273	54	41	λrλl	λrλl	NOUN
ejpam-3273	54	42	+	+	CCONJ
ejpam-3273	54	43	λsλk	λsλk	NOUN
ejpam-3273	54	44	)	)	PUNCT
ejpam-3273	54	45	6=	6=	ADP
ejpam-3273	54	46	0	0	NUM
ejpam-3273	54	47	,	,	PUNCT
ejpam-3273	54	48	where	where	SCONJ
ejpam-3273	54	49	{	{	PUNCT
ejpam-3273	54	50	r	r	NOUN
ejpam-3273	54	51	,	,	PUNCT
ejpam-3273	54	52	s	s	PROPN
ejpam-3273	54	53	,	,	PUNCT
ejpam-3273	54	54	k	k	NOUN
ejpam-3273	54	55	,	,	PUNCT
ejpam-3273	54	56	l	l	NOUN
ejpam-3273	54	57	}	}	PUNCT
ejpam-3273	54	58	=	=	SYM
ejpam-3273	54	59	{	{	PUNCT
ejpam-3273	54	60	1	1	NUM
ejpam-3273	54	61	,	,	PUNCT
ejpam-3273	54	62	2	2	NUM
ejpam-3273	54	63	,	,	PUNCT
ejpam-3273	54	64	3	3	NUM
ejpam-3273	54	65	,	,	PUNCT
ejpam-3273	54	66	4	4	NUM
ejpam-3273	54	67	}	}	PUNCT
ejpam-3273	54	68	,	,	PUNCT
ejpam-3273	54	69	and	and	CCONJ
ejpam-3273	54	70	γ2	γ2	NOUN
ejpam-3273	54	71	is	be	AUX
ejpam-3273	54	72	a	a	DET
ejpam-3273	54	73	square	square	ADJ
ejpam-3273	54	74	root	root	NOUN
ejpam-3273	54	75	of	of	ADP
ejpam-3273	54	76	the	the	DET
ejpam-3273	54	77	det(σ1	det(σ1	NOUN
ejpam-3273	54	78	)	)	PUNCT
ejpam-3273	54	79	.	.	PUNCT
ejpam-3273	55	1	a	a	DET
ejpam-3273	55	2	similar	similar	ADJ
ejpam-3273	55	3	result	result	NOUN
ejpam-3273	55	4	is	be	AUX
ejpam-3273	55	5	obtained	obtain	VERB
ejpam-3273	55	6	for	for	ADP
ejpam-3273	55	7	the	the	DET
ejpam-3273	55	8	pure	pure	ADJ
ejpam-3273	55	9	braid	braid	PROPN
ejpam-3273	55	10	group	group	PROPN
ejpam-3273	55	11	p3	p3	PROPN
ejpam-3273	55	12	,	,	PUNCT
ejpam-3273	55	13	the	the	DET
ejpam-3273	55	14	normal	normal	ADJ
ejpam-3273	55	15	subgroup	subgroup	NOUN
ejpam-3273	55	16	of	of	ADP
ejpam-3273	55	17	the	the	DET
ejpam-3273	55	18	braid	braid	PROPN
ejpam-3273	55	19	group	group	PROPN
ejpam-3273	55	20	b3	b3	PROPN
ejpam-3273	55	21	.	.	PUNCT
ejpam-3273	56	1	proposition	proposition	NOUN
ejpam-3273	56	2	3	3	NUM
ejpam-3273	56	3	.	.	PUNCT
ejpam-3273	57	1	[	[	X
ejpam-3273	57	2	6	6	NUM
ejpam-3273	57	3	]	]	PUNCT
ejpam-3273	57	4	tuba	tuba	PROPN
ejpam-3273	57	5	’s	’s	PART
ejpam-3273	57	6	representation	representation	NOUN
ejpam-3273	57	7	of	of	ADP
ejpam-3273	57	8	p3	p3	PROPN
ejpam-3273	57	9	is	be	AUX
ejpam-3273	57	10	irreducible	irreducible	ADJ
ejpam-3273	57	11	if	if	SCONJ
ejpam-3273	57	12	and	and	CCONJ
ejpam-3273	57	13	only	only	ADV
ejpam-3273	57	14	if	if	SCONJ
ejpam-3273	57	15	i	i	PRON
ejpam-3273	57	16	)	)	PUNCT
ejpam-3273	57	17	λ1	λ1	PROPN
ejpam-3273	57	18	6=	6=	NUM
ejpam-3273	57	19	−λ2	−λ2	NOUN
ejpam-3273	57	20	and	and	CCONJ
ejpam-3273	57	21	λ21	λ21	NOUN
ejpam-3273	57	22	−	−	PROPN
ejpam-3273	58	1	λ1λ2	λ1λ2	NOUN
ejpam-3273	58	2	+	+	CCONJ
ejpam-3273	58	3	λ22	λ22	X
ejpam-3273	58	4	6=	6=	ADP
ejpam-3273	58	5	0	0	NUM
ejpam-3273	58	6	for	for	ADP
ejpam-3273	58	7	dimension	dimension	NOUN
ejpam-3273	58	8	d	d	NOUN
ejpam-3273	58	9	=	=	SYM
ejpam-3273	58	10	2	2	NUM
ejpam-3273	58	11	,	,	PUNCT
ejpam-3273	58	12	ii	ii	NOUN
ejpam-3273	58	13	)	)	PUNCT
ejpam-3273	58	14	λi	λi	PROPN
ejpam-3273	58	15	6=	6=	NUM
ejpam-3273	58	16	−λj	−λj	PRON
ejpam-3273	58	17	and	and	CCONJ
ejpam-3273	58	18	(	(	PUNCT
ejpam-3273	58	19	λ2	λ2	NOUN
ejpam-3273	58	20	m	m	VERB
ejpam-3273	58	21	+	+	NOUN
ejpam-3273	58	22	λkλn)(λ2n	λkλn)(λ2n	NOUN
ejpam-3273	58	23	+	+	CCONJ
ejpam-3273	58	24	λkλm	λkλm	NUM
ejpam-3273	58	25	)	)	PUNCT
ejpam-3273	58	26	6=	6=	ADP
ejpam-3273	58	27	0	0	NUM
ejpam-3273	58	28	,	,	PUNCT
ejpam-3273	58	29	for	for	ADP
ejpam-3273	58	30	dimension	dimension	NOUN
ejpam-3273	58	31	d	d	NOUN
ejpam-3273	58	32	=	=	SYM
ejpam-3273	58	33	3	3	X
ejpam-3273	58	34	.	.	PUNCT
ejpam-3273	58	35	here	here	ADV
ejpam-3273	58	36	i	i	PRON
ejpam-3273	58	37	6=	6=	PROPN
ejpam-3273	58	38	j	j	PROPN
ejpam-3273	58	39	,	,	PUNCT
ejpam-3273	58	40	m	m	PROPN
ejpam-3273	58	41	6=	6=	NUM
ejpam-3273	58	42	n	n	PROPN
ejpam-3273	58	43	6=	6=	PROPN
ejpam-3273	58	44	k	k	X
ejpam-3273	58	45	,	,	PUNCT
ejpam-3273	58	46	and	and	CCONJ
ejpam-3273	58	47	i	i	PROPN
ejpam-3273	58	48	,	,	PUNCT
ejpam-3273	58	49	j	j	PROPN
ejpam-3273	58	50	,	,	PUNCT
ejpam-3273	58	51	m	m	PROPN
ejpam-3273	58	52	,	,	PUNCT
ejpam-3273	58	53	n	n	CCONJ
ejpam-3273	58	54	,	,	PUNCT
ejpam-3273	58	55	k	k	PROPN
ejpam-3273	58	56	∈	∈	PROPN
ejpam-3273	58	57	{	{	PUNCT
ejpam-3273	58	58	1	1	NUM
ejpam-3273	58	59	,	,	PUNCT
ejpam-3273	58	60	2	2	NUM
ejpam-3273	58	61	,	,	PUNCT
ejpam-3273	58	62	3	3	NUM
ejpam-3273	58	63	}	}	PUNCT
ejpam-3273	58	64	.	.	PUNCT
ejpam-3273	59	1	4	4	X
ejpam-3273	59	2	.	.	X
ejpam-3273	59	3	tuba	tuba	PROPN
ejpam-3273	59	4	’s	’s	PART
ejpam-3273	59	5	representation	representation	NOUN
ejpam-3273	59	6	of	of	ADP
ejpam-3273	59	7	p3	p3	PROPN
ejpam-3273	59	8	let	let	VERB
ejpam-3273	59	9	p3	p3	PROPN
ejpam-3273	59	10	be	be	AUX
ejpam-3273	59	11	the	the	DET
ejpam-3273	59	12	pure	pure	ADJ
ejpam-3273	59	13	braid	braid	NOUN
ejpam-3273	59	14	group	group	NOUN
ejpam-3273	59	15	on	on	ADP
ejpam-3273	59	16	three	three	NUM
ejpam-3273	59	17	strings	string	NOUN
ejpam-3273	59	18	.	.	PUNCT
ejpam-3273	60	1	applying	apply	VERB
ejpam-3273	60	2	tuba	tuba	NOUN
ejpam-3273	60	3	’s	’s	PART
ejpam-3273	60	4	representation	representation	NOUN
ejpam-3273	60	5	on	on	ADP
ejpam-3273	60	6	the	the	DET
ejpam-3273	60	7	normal	normal	ADJ
ejpam-3273	60	8	subgroup	subgroup	NOUN
ejpam-3273	60	9	of	of	ADP
ejpam-3273	60	10	the	the	DET
ejpam-3273	60	11	braid	braid	PROPN
ejpam-3273	60	12	group	group	NOUN
ejpam-3273	60	13	,	,	PUNCT
ejpam-3273	60	14	namely	namely	ADV
ejpam-3273	60	15	the	the	DET
ejpam-3273	60	16	pure	pure	ADJ
ejpam-3273	60	17	braid	braid	NOUN
ejpam-3273	60	18	group	group	NOUN
ejpam-3273	60	19	,	,	PUNCT
ejpam-3273	60	20	we	we	PRON
ejpam-3273	60	21	get	get	VERB
ejpam-3273	60	22	the	the	DET
ejpam-3273	60	23	following	follow	VERB
ejpam-3273	60	24	representation	representation	NOUN
ejpam-3273	60	25	of	of	ADP
ejpam-3273	60	26	dimension	dimension	NOUN
ejpam-3273	60	27	d	d	NOUN
ejpam-3273	61	1	=	=	SYM
ejpam-3273	61	2	4	4	X
ejpam-3273	61	3	.	.	PUNCT
ejpam-3273	61	4	definition	definition	NOUN
ejpam-3273	61	5	5	5	NUM
ejpam-3273	61	6	.	.	PUNCT
ejpam-3273	62	1	tuba	tuba	PROPN
ejpam-3273	62	2	’s	’s	PART
ejpam-3273	62	3	representation	representation	NOUN
ejpam-3273	62	4	of	of	ADP
ejpam-3273	62	5	the	the	DET
ejpam-3273	62	6	pure	pure	ADJ
ejpam-3273	62	7	braid	braid	PROPN
ejpam-3273	62	8	group	group	NOUN
ejpam-3273	62	9	p3	p3	PROPN
ejpam-3273	62	10	of	of	ADP
ejpam-3273	62	11	dimension	dimension	NOUN
ejpam-3273	62	12	d	d	NOUN
ejpam-3273	62	13	=	=	SYM
ejpam-3273	62	14	4	4	NUM
ejpam-3273	62	15	is	be	AUX
ejpam-3273	62	16	defined	define	VERB
ejpam-3273	62	17	as	as	SCONJ
ejpam-3273	62	18	follows	follow	VERB
ejpam-3273	62	19	:	:	PUNCT
ejpam-3273	62	20	a12	a12	NUM
ejpam-3273	62	21	=	=	SYM
ejpam-3273	62	22			PROPN
ejpam-3273	62	23	λ21	λ21	PROPN
ejpam-3273	62	24	jλ2	jλ2	PROPN
ejpam-3273	62	25	(	(	PUNCT
ejpam-3273	62	26	λ1	λ1	ADJ
ejpam-3273	62	27	+	+	SYM
ejpam-3273	62	28	λ2	λ2	NOUN
ejpam-3273	62	29	)	)	PUNCT
ejpam-3273	62	30	jλ3[λ1	jλ3[λ1	NOUN
ejpam-3273	63	1	+	+	CCONJ
ejpam-3273	63	2	λ3	λ3	PROPN
ejpam-3273	63	3	+	+	CCONJ
ejpam-3273	63	4	iλ2	iλ2	X
ejpam-3273	63	5	]	]	X
ejpam-3273	63	6	λ4[λ1	λ4[λ1	X
ejpam-3273	64	1	+	+	CCONJ
ejpam-3273	64	2	λ4	λ4	PROPN
ejpam-3273	64	3	+	+	CCONJ
ejpam-3273	64	4	j	j	PROPN
ejpam-3273	64	5	(	(	PUNCT
ejpam-3273	64	6	λ2	λ2	PROPN
ejpam-3273	64	7	+	+	CCONJ
ejpam-3273	64	8	λ3	λ3	PROPN
ejpam-3273	64	9	)	)	PUNCT
ejpam-3273	64	10	]	]	PUNCT
ejpam-3273	64	11	0	0	NUM
ejpam-3273	64	12	λ22	λ22	NOUN
ejpam-3273	64	13	iλ3	iλ3	NOUN
ejpam-3273	64	14	(	(	PUNCT
ejpam-3273	64	15	λ2	λ2	NOUN
ejpam-3273	64	16	+	+	CCONJ
ejpam-3273	64	17	λ3	λ3	PROPN
ejpam-3273	64	18	)	)	PUNCT
ejpam-3273	64	19	λ4[λ2	λ4[λ2	X
ejpam-3273	65	1	+	+	CCONJ
ejpam-3273	65	2	λ4	λ4	ADJ
ejpam-3273	65	3	+	+	CCONJ
ejpam-3273	65	4	iλ3	iλ3	NOUN
ejpam-3273	65	5	]	]	X
ejpam-3273	65	6	0	0	NUM
ejpam-3273	65	7	0	0	NUM
ejpam-3273	65	8	λ23	λ23	NOUN
ejpam-3273	65	9	λ4	λ4	NOUN
ejpam-3273	65	10	(	(	PUNCT
ejpam-3273	65	11	λ3	λ3	PROPN
ejpam-3273	65	12	+	+	CCONJ
ejpam-3273	65	13	λ4	λ4	ADJ
ejpam-3273	65	14	)	)	PUNCT
ejpam-3273	65	15	0	0	NUM
ejpam-3273	65	16	0	0	NUM
ejpam-3273	65	17	0	0	NUM
ejpam-3273	65	18	λ24	λ24	NOUN
ejpam-3273	65	19			NOUN
ejpam-3273	65	20	,	,	PUNCT
ejpam-3273	65	21	a23	a23	PROPN
ejpam-3273	65	22	=	=	SYM
ejpam-3273	65	23			PROPN
ejpam-3273	65	24	λ24	λ24	VERB
ejpam-3273	65	25	0	0	NUM
ejpam-3273	65	26	0	0	NUM
ejpam-3273	65	27	0	0	NUM
ejpam-3273	65	28	−λ3	−λ3	NOUN
ejpam-3273	65	29	(	(	PUNCT
ejpam-3273	65	30	λ3	λ3	PROPN
ejpam-3273	65	31	+	+	CCONJ
ejpam-3273	65	32	λ4	λ4	PROPN
ejpam-3273	65	33	)	)	PUNCT
ejpam-3273	65	34	λ23	λ23	NOUN
ejpam-3273	65	35	0	0	NUM
ejpam-3273	65	36	0	0	NUM
ejpam-3273	66	1	λ2[dλ4	λ2[dλ4	NOUN
ejpam-3273	66	2	+	+	PUNCT
ejpam-3273	66	3	(	(	PUNCT
ejpam-3273	66	4	d	d	X
ejpam-3273	66	5	+	+	SYM
ejpam-3273	66	6	1)λ3	1)λ3	NUM
ejpam-3273	66	7	+	+	NOUN
ejpam-3273	66	8	dλ2	dλ2	NOUN
ejpam-3273	66	9	]	]	X
ejpam-3273	66	10	−(d	−(d	NOUN
ejpam-3273	67	1	+	+	CCONJ
ejpam-3273	68	1	1)λ2	1)λ2	NUM
ejpam-3273	68	2	(	(	PUNCT
ejpam-3273	68	3	λ2	λ2	PROPN
ejpam-3273	68	4	+	+	CCONJ
ejpam-3273	68	5	λ3	λ3	PROPN
ejpam-3273	68	6	)	)	PUNCT
ejpam-3273	68	7	λ22	λ22	NOUN
ejpam-3273	68	8	0	0	NUM
ejpam-3273	69	1	l	l	NOUN
ejpam-3273	69	2	k	k	NOUN
ejpam-3273	69	3	m	m	VERB
ejpam-3273	69	4	λ21	λ21	NOUN
ejpam-3273	69	5			NOUN
ejpam-3273	69	6	,	,	PUNCT
ejpam-3273	69	7	h.	h.	PROPN
ejpam-3273	69	8	a.	a.	PROPN
ejpam-3273	69	9	haidar	haidar	PROPN
ejpam-3273	69	10	,	,	PUNCT
ejpam-3273	69	11	m.	m.	PROPN
ejpam-3273	69	12	n.	n.	PROPN
ejpam-3273	69	13	abdulrahim	abdulrahim	PROPN
ejpam-3273	69	14	/	/	SYM
ejpam-3273	69	15	eur	eur	PROPN
ejpam-3273	69	16	.	.	PUNCT
ejpam-3273	70	1	j.	j.	PROPN
ejpam-3273	70	2	pure	pure	PROPN
ejpam-3273	70	3	appl	appl	PROPN
ejpam-3273	70	4	.	.	PROPN
ejpam-3273	70	5	math	math	PROPN
ejpam-3273	70	6	,	,	PUNCT
ejpam-3273	70	7	11	11	NUM
ejpam-3273	70	8	(	(	PUNCT
ejpam-3273	70	9	3	3	NUM
ejpam-3273	70	10	)	)	PUNCT
ejpam-3273	70	11	(	(	PUNCT
ejpam-3273	70	12	2018	2018	NUM
ejpam-3273	70	13	)	)	PUNCT
ejpam-3273	70	14	,	,	PUNCT
ejpam-3273	70	15	682	682	NUM
ejpam-3273	70	16	-	-	SYM
ejpam-3273	70	17	701	701	NUM
ejpam-3273	70	18	685	685	NUM
ejpam-3273	70	19	where	where	SCONJ
ejpam-3273	70	20	i	i	PRON
ejpam-3273	70	21	=	=	VERB
ejpam-3273	70	22	1	1	NUM
ejpam-3273	70	23	+	+	ADJ
ejpam-3273	70	24	d−1	d−1	PROPN
ejpam-3273	70	25	,	,	PUNCT
ejpam-3273	70	26	j	j	NOUN
ejpam-3273	70	27	=	=	SYM
ejpam-3273	70	28	1	1	NUM
ejpam-3273	71	1	+	+	ADP
ejpam-3273	71	2	d−1	d−1	PROPN
ejpam-3273	71	3	+	+	PROPN
ejpam-3273	71	4	d−2	d−2	PROPN
ejpam-3273	71	5	,	,	PUNCT
ejpam-3273	71	6	k	k	PROPN
ejpam-3273	72	1	=	=	PUNCT
ejpam-3273	73	1	λ1(d	λ1(d	X
ejpam-3273	74	1	2	2	NUM
ejpam-3273	74	2	+	+	NOUN
ejpam-3273	74	3	d	d	NOUN
ejpam-3273	74	4	+	+	SYM
ejpam-3273	74	5	1)[d(λ1	1)[d(λ1	NUM
ejpam-3273	74	6	+	+	NUM
ejpam-3273	74	7	λ2	λ2	PROPN
ejpam-3273	74	8	+	+	CCONJ
ejpam-3273	74	9	λ3	λ3	PROPN
ejpam-3273	74	10	)	)	PUNCT
ejpam-3273	74	11	+	+	SYM
ejpam-3273	74	12	λ2	λ2	NOUN
ejpam-3273	74	13	]	]	PUNCT
ejpam-3273	74	14	,	,	PUNCT
ejpam-3273	74	15	l	l	PROPN
ejpam-3273	74	16	=	=	SYM
ejpam-3273	74	17	λ1[−d3	λ1[−d3	PROPN
ejpam-3273	74	18	(	(	PUNCT
ejpam-3273	74	19	λ4	λ4	PROPN
ejpam-3273	74	20	+	+	CCONJ
ejpam-3273	74	21	λ1)−	λ1)−	NOUN
ejpam-3273	74	22	(	(	PUNCT
ejpam-3273	74	23	d3	d3	PROPN
ejpam-3273	74	24	+	+	SYM
ejpam-3273	74	25	d2	d2	ADJ
ejpam-3273	74	26	+	+	ADP
ejpam-3273	74	27	d)(λ3	d)(λ3	NOUN
ejpam-3273	74	28	+	+	X
ejpam-3273	74	29	λ2	λ2	NOUN
ejpam-3273	74	30	)	)	PUNCT
ejpam-3273	74	31	]	]	PUNCT
ejpam-3273	74	32	,	,	PUNCT
ejpam-3273	74	33	m	m	VERB
ejpam-3273	74	34	=	=	PUNCT
ejpam-3273	74	35	−(d2	−(d2	NUM
ejpam-3273	74	36	+	+	ADJ
ejpam-3273	74	37	d	d	X
ejpam-3273	74	38	+	+	NUM
ejpam-3273	74	39	1)λ1(λ1	1)λ1(λ1	NUM
ejpam-3273	74	40	+	+	CCONJ
ejpam-3273	74	41	λ2	λ2	NOUN
ejpam-3273	74	42	)	)	PUNCT
ejpam-3273	74	43	.	.	PUNCT
ejpam-3273	75	1	as	as	ADP
ejpam-3273	75	2	for	for	ADP
ejpam-3273	75	3	a13	a13	NOUN
ejpam-3273	75	4	=	=	SYM
ejpam-3273	75	5	σ2σ	σ2σ	NUM
ejpam-3273	75	6	2	2	NUM
ejpam-3273	75	7	1σ	1σ	NUM
ejpam-3273	75	8	−1	−1	NOUN
ejpam-3273	75	9	2	2	NUM
ejpam-3273	75	10	,	,	PUNCT
ejpam-3273	75	11	we	we	PRON
ejpam-3273	75	12	will	will	AUX
ejpam-3273	75	13	not	not	PART
ejpam-3273	75	14	need	need	VERB
ejpam-3273	75	15	it	it	PRON
ejpam-3273	75	16	in	in	ADP
ejpam-3273	75	17	the	the	DET
ejpam-3273	75	18	proof	proof	NOUN
ejpam-3273	75	19	of	of	ADP
ejpam-3273	75	20	theorem	theorem	NOUN
ejpam-3273	75	21	11	11	NUM
ejpam-3273	75	22	.	.	PUNCT
ejpam-3273	76	1	5	5	NUM
ejpam-3273	76	2	.	.	X
ejpam-3273	76	3	irreducibility	irreducibility	NOUN
ejpam-3273	76	4	of	of	ADP
ejpam-3273	76	5	tuba	tuba	PROPN
ejpam-3273	76	6	’s	’s	PART
ejpam-3273	76	7	representation	representation	NOUN
ejpam-3273	76	8	of	of	ADP
ejpam-3273	76	9	the	the	DET
ejpam-3273	76	10	pure	pure	ADJ
ejpam-3273	76	11	braid	braid	PROPN
ejpam-3273	76	12	group	group	NOUN
ejpam-3273	76	13	p3	p3	PROPN
ejpam-3273	76	14	with	with	ADP
ejpam-3273	76	15	dimension	dimension	NOUN
ejpam-3273	76	16	d=4	d=4	PUNCT
ejpam-3273	77	1	we	we	PRON
ejpam-3273	77	2	specialize	specialize	VERB
ejpam-3273	77	3	the	the	DET
ejpam-3273	77	4	indeterminates	indeterminate	NOUN
ejpam-3273	77	5	λ1	λ1	ADJ
ejpam-3273	77	6	,	,	PUNCT
ejpam-3273	77	7	λ2	λ2	PROPN
ejpam-3273	77	8	,	,	PUNCT
ejpam-3273	77	9	λ3	λ3	PROPN
ejpam-3273	77	10	,	,	PUNCT
ejpam-3273	77	11	and	and	CCONJ
ejpam-3273	77	12	λ4	λ4	VERB
ejpam-3273	77	13	to	to	ADP
ejpam-3273	77	14	non	non	ADJ
ejpam-3273	77	15	zero	zero	NUM
ejpam-3273	77	16	complex	complex	ADJ
ejpam-3273	77	17	numbers	number	NOUN
ejpam-3273	77	18	.	.	PUNCT
ejpam-3273	78	1	then	then	ADV
ejpam-3273	78	2	we	we	PRON
ejpam-3273	78	3	find	find	VERB
ejpam-3273	78	4	sufficient	sufficient	ADJ
ejpam-3273	78	5	conditions	condition	NOUN
ejpam-3273	78	6	for	for	ADP
ejpam-3273	78	7	the	the	DET
ejpam-3273	78	8	irreducibility	irreducibility	NOUN
ejpam-3273	78	9	of	of	ADP
ejpam-3273	78	10	the	the	DET
ejpam-3273	78	11	complex	complex	ADJ
ejpam-3273	78	12	specialization	specialization	NOUN
ejpam-3273	78	13	of	of	ADP
ejpam-3273	78	14	tuba	tuba	PROPN
ejpam-3273	78	15	’s	’s	PART
ejpam-3273	78	16	representation	representation	NOUN
ejpam-3273	78	17	of	of	ADP
ejpam-3273	78	18	the	the	DET
ejpam-3273	78	19	pure	pure	ADJ
ejpam-3273	78	20	braid	braid	PROPN
ejpam-3273	78	21	group	group	NOUN
ejpam-3273	78	22	p3	p3	PROPN
ejpam-3273	78	23	with	with	ADP
ejpam-3273	78	24	dimension	dimension	NOUN
ejpam-3273	78	25	d	d	X
ejpam-3273	78	26	=	=	SYM
ejpam-3273	78	27	4	4	X
ejpam-3273	78	28	.	.	PUNCT
ejpam-3273	78	29	definition	definition	NOUN
ejpam-3273	78	30	6	6	NUM
ejpam-3273	78	31	.	.	PUNCT
ejpam-3273	78	32	principal	principal	PROPN
ejpam-3273	78	33	square	square	PROPN
ejpam-3273	78	34	root	root	NOUN
ejpam-3273	78	35	function	function	NOUN
ejpam-3273	78	36	is	be	AUX
ejpam-3273	78	37	defined	define	VERB
ejpam-3273	78	38	as	as	SCONJ
ejpam-3273	78	39	follows	follow	VERB
ejpam-3273	78	40	:	:	PUNCT
ejpam-3273	78	41	for	for	ADP
ejpam-3273	78	42	z	z	NOUN
ejpam-3273	78	43	=	=	SYM
ejpam-3273	78	44	(	(	PUNCT
ejpam-3273	78	45	1	1	NUM
ejpam-3273	78	46	,	,	PUNCT
ejpam-3273	78	47	θ	θ	NOUN
ejpam-3273	78	48	)	)	PUNCT
ejpam-3273	78	49	,	,	PUNCT
ejpam-3273	78	50	√	√	ADP
ejpam-3273	78	51	z	z	NOUN
ejpam-3273	78	52	=	=	PUNCT
ejpam-3273	78	53	e	e	SYM
ejpam-3273	78	54	θ	θ	PROPN
ejpam-3273	78	55	2	2	X
ejpam-3273	79	1	i	i	NOUN
ejpam-3273	79	2	,	,	PUNCT
ejpam-3273	79	3	where	where	SCONJ
ejpam-3273	79	4	−π	−π	PRON
ejpam-3273	79	5	≺	≺	NOUN
ejpam-3273	79	6	θ	θ	PROPN
ejpam-3273	79	7	≤	≤	NUM
ejpam-3273	79	8	π	π	X
ejpam-3273	79	9	.	.	PUNCT
ejpam-3273	80	1	since	since	SCONJ
ejpam-3273	80	2	θ	θ	PROPN
ejpam-3273	80	3	∈	∈	PROPN
ejpam-3273	80	4	(	(	PUNCT
ejpam-3273	80	5	−π	−π	PROPN
ejpam-3273	80	6	,	,	PUNCT
ejpam-3273	80	7	π	π	PROPN
ejpam-3273	80	8	]	]	X
ejpam-3273	80	9	,	,	PUNCT
ejpam-3273	80	10	it	it	PRON
ejpam-3273	80	11	follows	follow	VERB
ejpam-3273	80	12	that	that	SCONJ
ejpam-3273	80	13	√	√	PROPN
ejpam-3273	80	14	z2	z2	NOUN
ejpam-3273	80	15	=	=	SYM
ejpam-3273	80	16	z	z	NOUN
ejpam-3273	80	17	for	for	ADP
ejpam-3273	80	18	any	any	DET
ejpam-3273	80	19	complex	complex	ADJ
ejpam-3273	80	20	number	number	NOUN
ejpam-3273	80	21	z.	z.	NOUN
ejpam-3273	80	22	in	in	ADP
ejpam-3273	80	23	what	what	PRON
ejpam-3273	80	24	follows	follow	VERB
ejpam-3273	80	25	,	,	PUNCT
ejpam-3273	80	26	we	we	PRON
ejpam-3273	80	27	take	take	VERB
ejpam-3273	80	28	√	√	NOUN
ejpam-3273	80	29	z2	z2	PROPN
ejpam-3273	80	30	=	=	SYM
ejpam-3273	80	31	z	z	NOUN
ejpam-3273	80	32	for	for	ADP
ejpam-3273	80	33	any	any	DET
ejpam-3273	80	34	complex	complex	ADJ
ejpam-3273	80	35	number	number	NOUN
ejpam-3273	80	36	z.	z.	PROPN
ejpam-3273	80	37	lemma	lemma	PROPN
ejpam-3273	81	1	1	1	X
ejpam-3273	81	2	.	.	PUNCT
ejpam-3273	81	3	let	let	VERB
ejpam-3273	81	4	ϕ	ϕ	NOUN
ejpam-3273	81	5	:	:	PUNCT
ejpam-3273	81	6	p3	p3	VERB
ejpam-3273	81	7	−→	−→	ADJ
ejpam-3273	81	8	gl4(c	gl4(c	NOUN
ejpam-3273	81	9	)	)	PUNCT
ejpam-3273	81	10	be	be	VERB
ejpam-3273	81	11	the	the	DET
ejpam-3273	81	12	complex	complex	ADJ
ejpam-3273	81	13	specialization	specialization	NOUN
ejpam-3273	81	14	of	of	ADP
ejpam-3273	81	15	tuba	tuba	PROPN
ejpam-3273	81	16	’s	’s	PART
ejpam-3273	81	17	representation	representation	NOUN
ejpam-3273	81	18	of	of	ADP
ejpam-3273	81	19	the	the	DET
ejpam-3273	81	20	pure	pure	ADJ
ejpam-3273	81	21	braid	braid	PROPN
ejpam-3273	81	22	group	group	PROPN
ejpam-3273	81	23	p3	p3	PROPN
ejpam-3273	81	24	.	.	PUNCT
ejpam-3273	82	1	hence	hence	ADV
ejpam-3273	82	2	,	,	PUNCT
ejpam-3273	82	3	the	the	DET
ejpam-3273	82	4	following	follow	VERB
ejpam-3273	82	5	are	be	AUX
ejpam-3273	82	6	true	true	ADJ
ejpam-3273	82	7	:	:	PUNCT
ejpam-3273	82	8	i	i	NOUN
ejpam-3273	82	9	)	)	PUNCT
ejpam-3273	83	1	d	d	X
ejpam-3273	83	2	+	+	NOUN
ejpam-3273	83	3	1	1	NUM
ejpam-3273	83	4	=	=	SYM
ejpam-3273	83	5	0	0	PUNCT
ejpam-3273	83	6	if	if	SCONJ
ejpam-3273	83	7	and	and	CCONJ
ejpam-3273	83	8	only	only	ADV
ejpam-3273	83	9	if	if	SCONJ
ejpam-3273	83	10	γ2	γ2	PROPN
ejpam-3273	84	1	+	+	CCONJ
ejpam-3273	84	2	λ1λ4	λ1λ4	NOUN
ejpam-3273	84	3	=	=	SYM
ejpam-3273	84	4	0	0	X
ejpam-3273	84	5	.	.	X
ejpam-3273	84	6	ii	ii	PROPN
ejpam-3273	84	7	)	)	PUNCT
ejpam-3273	84	8	dλn	dλn	PROPN
ejpam-3273	85	1	+	+	CCONJ
ejpam-3273	85	2	λm	λm	X
ejpam-3273	85	3	=	=	SYM
ejpam-3273	85	4	0	0	PUNCT
ejpam-3273	85	5	if	if	SCONJ
ejpam-3273	85	6	and	and	CCONJ
ejpam-3273	85	7	only	only	ADV
ejpam-3273	85	8	if	if	SCONJ
ejpam-3273	85	9	γ2	γ2	PROPN
ejpam-3273	85	10	+	+	CCONJ
ejpam-3273	85	11	λ2n	λ2n	NOUN
ejpam-3273	85	12	=	=	SYM
ejpam-3273	85	13	0	0	NUM
ejpam-3273	85	14	,	,	PUNCT
ejpam-3273	85	15	where	where	SCONJ
ejpam-3273	85	16	{	{	PUNCT
ejpam-3273	85	17	m	m	NOUN
ejpam-3273	85	18	,	,	PUNCT
ejpam-3273	85	19	n	n	CCONJ
ejpam-3273	85	20	}	}	PUNCT
ejpam-3273	85	21	=	=	SYM
ejpam-3273	85	22	{	{	PUNCT
ejpam-3273	85	23	2	2	NUM
ejpam-3273	85	24	,	,	PUNCT
ejpam-3273	85	25	3	3	NUM
ejpam-3273	85	26	}	}	PUNCT
ejpam-3273	85	27	.	.	PUNCT
ejpam-3273	86	1	iii	iii	X
ejpam-3273	86	2	)	)	PUNCT
ejpam-3273	86	3	1	1	NUM
ejpam-3273	87	1	+	+	SYM
ejpam-3273	87	2	d	d	X
ejpam-3273	87	3	+	+	ADJ
ejpam-3273	87	4	d2	d2	NOUN
ejpam-3273	87	5	=	=	SYM
ejpam-3273	87	6	0	0	NUM
ejpam-3273	87	7	implies	imply	VERB
ejpam-3273	87	8	that	that	SCONJ
ejpam-3273	87	9	γ2	γ2	PROPN
ejpam-3273	88	1	+	+	CCONJ
ejpam-3273	89	1	λ1λ4	λ1λ4	PROPN
ejpam-3273	89	2	+	+	NUM
ejpam-3273	89	3	λ2λ3	λ2λ3	X
ejpam-3273	89	4	=	=	SYM
ejpam-3273	89	5	0	0	X
ejpam-3273	89	6	.	.	PUNCT
ejpam-3273	90	1	proof	proof	NOUN
ejpam-3273	90	2	.	.	PUNCT
ejpam-3273	91	1	the	the	DET
ejpam-3273	91	2	proof	proof	NOUN
ejpam-3273	91	3	of	of	ADP
ejpam-3273	91	4	(	(	PUNCT
ejpam-3273	91	5	i	i	NOUN
ejpam-3273	91	6	)	)	PUNCT
ejpam-3273	91	7	follows	follow	VERB
ejpam-3273	91	8	from	from	ADP
ejpam-3273	91	9	the	the	DET
ejpam-3273	91	10	fact	fact	NOUN
ejpam-3273	91	11	that	that	SCONJ
ejpam-3273	91	12	det(σ1	det(σ1	NOUN
ejpam-3273	91	13	)	)	PUNCT
ejpam-3273	92	1	=	=	SYM
ejpam-3273	92	2	λ1λ2λ3λ4	λ1λ2λ3λ4	NOUN
ejpam-3273	92	3	and	and	CCONJ
ejpam-3273	92	4	γ2	γ2	PROPN
ejpam-3273	92	5	=	=	SYM
ejpam-3273	92	6	λ1λ4d	λ1λ4d	X
ejpam-3273	92	7	.	.	PUNCT
ejpam-3273	93	1	the	the	DET
ejpam-3273	93	2	proof	proof	NOUN
ejpam-3273	93	3	of	of	ADP
ejpam-3273	93	4	(	(	PUNCT
ejpam-3273	93	5	ii	ii	NOUN
ejpam-3273	93	6	)	)	PUNCT
ejpam-3273	93	7	follows	follow	VERB
ejpam-3273	93	8	from	from	ADP
ejpam-3273	93	9	the	the	DET
ejpam-3273	93	10	fact	fact	NOUN
ejpam-3273	93	11	that	that	SCONJ
ejpam-3273	93	12	γ2	γ2	NOUN
ejpam-3273	93	13	=	=	SYM
ejpam-3273	93	14	λ2λ3d	λ2λ3d	PUNCT
ejpam-3273	93	15	−1	−1	NOUN
ejpam-3273	93	16	.	.	PUNCT
ejpam-3273	94	1	h.	h.	PROPN
ejpam-3273	94	2	a.	a.	PROPN
ejpam-3273	94	3	haidar	haidar	PROPN
ejpam-3273	94	4	,	,	PUNCT
ejpam-3273	94	5	m.	m.	PROPN
ejpam-3273	94	6	n.	n.	PROPN
ejpam-3273	94	7	abdulrahim	abdulrahim	PROPN
ejpam-3273	94	8	/	/	SYM
ejpam-3273	94	9	eur	eur	PROPN
ejpam-3273	94	10	.	.	PUNCT
ejpam-3273	95	1	j.	j.	PROPN
ejpam-3273	95	2	pure	pure	PROPN
ejpam-3273	95	3	appl	appl	PROPN
ejpam-3273	95	4	.	.	PROPN
ejpam-3273	95	5	math	math	PROPN
ejpam-3273	95	6	,	,	PUNCT
ejpam-3273	95	7	11	11	NUM
ejpam-3273	95	8	(	(	PUNCT
ejpam-3273	95	9	3	3	NUM
ejpam-3273	95	10	)	)	PUNCT
ejpam-3273	95	11	(	(	PUNCT
ejpam-3273	95	12	2018	2018	NUM
ejpam-3273	95	13	)	)	PUNCT
ejpam-3273	95	14	,	,	PUNCT
ejpam-3273	95	15	682	682	NUM
ejpam-3273	95	16	-	-	SYM
ejpam-3273	95	17	701	701	NUM
ejpam-3273	95	18	686	686	NUM
ejpam-3273	95	19	to	to	PART
ejpam-3273	95	20	prove	prove	VERB
ejpam-3273	95	21	(	(	PUNCT
ejpam-3273	95	22	iii	iii	NOUN
ejpam-3273	95	23	)	)	PUNCT
ejpam-3273	95	24	:	:	PUNCT
ejpam-3273	96	1	if	if	SCONJ
ejpam-3273	96	2	1	1	NUM
ejpam-3273	96	3	+	+	NOUN
ejpam-3273	96	4	d	d	X
ejpam-3273	96	5	+	+	ADJ
ejpam-3273	96	6	d2	d2	NOUN
ejpam-3273	96	7	=	=	SYM
ejpam-3273	96	8	0	0	NUM
ejpam-3273	96	9	then	then	ADV
ejpam-3273	96	10	d3	d3	VERB
ejpam-3273	96	11	−	−	PROPN
ejpam-3273	96	12	1	1	NUM
ejpam-3273	96	13	=	=	SYM
ejpam-3273	96	14	0	0	NUM
ejpam-3273	96	15	.	.	PUNCT
ejpam-3273	97	1	this	this	PRON
ejpam-3273	97	2	implies	imply	VERB
ejpam-3273	97	3	that	that	SCONJ
ejpam-3273	97	4	(	(	PUNCT
ejpam-3273	97	5	λ1λ4d)3	λ1λ4d)3	ADV
ejpam-3273	97	6	−	−	PROPN
ejpam-3273	97	7	(	(	PUNCT
ejpam-3273	97	8	λ1λ4	λ1λ4	NOUN
ejpam-3273	97	9	)	)	PUNCT
ejpam-3273	97	10	3	3	NUM
ejpam-3273	97	11	=	=	SYM
ejpam-3273	97	12	0	0	NUM
ejpam-3273	97	13	,	,	PUNCT
ejpam-3273	97	14	which	which	PRON
ejpam-3273	97	15	is	be	AUX
ejpam-3273	97	16	equivalent	equivalent	ADJ
ejpam-3273	97	17	to	to	ADP
ejpam-3273	97	18	γ6	γ6	PROPN
ejpam-3273	97	19	−(λ1λ4	−(λ1λ4	PUNCT
ejpam-3273	97	20	)	)	PUNCT
ejpam-3273	97	21	3	3	NUM
ejpam-3273	97	22	=	=	SYM
ejpam-3273	97	23	0	0	NUM
ejpam-3273	97	24	.	.	PUNCT
ejpam-3273	98	1	hence	hence	ADV
ejpam-3273	98	2	(	(	PUNCT
ejpam-3273	98	3	γ2	γ2	NOUN
ejpam-3273	98	4	−	−	PROPN
ejpam-3273	98	5	λ1λ4)(γ4	λ1λ4)(γ4	X
ejpam-3273	98	6	+	+	CCONJ
ejpam-3273	98	7	λ1λ4γ	λ1λ4γ	SYM
ejpam-3273	98	8	2	2	NUM
ejpam-3273	98	9	+	+	CCONJ
ejpam-3273	98	10	(	(	PUNCT
ejpam-3273	98	11	λ1λ4	λ1λ4	NOUN
ejpam-3273	98	12	)	)	PUNCT
ejpam-3273	98	13	2	2	NUM
ejpam-3273	98	14	)	)	PUNCT
ejpam-3273	98	15	=	=	SYM
ejpam-3273	98	16	0	0	NUM
ejpam-3273	98	17	in	in	ADP
ejpam-3273	98	18	the	the	DET
ejpam-3273	98	19	case	case	NOUN
ejpam-3273	98	20	γ2	γ2	NOUN
ejpam-3273	98	21	−	−	PROPN
ejpam-3273	99	1	λ1λ4	λ1λ4	NOUN
ejpam-3273	99	2	=	=	SYM
ejpam-3273	99	3	0	0	NUM
ejpam-3273	99	4	,	,	PUNCT
ejpam-3273	99	5	we	we	PRON
ejpam-3273	99	6	get	get	VERB
ejpam-3273	99	7	λ1λ4d	λ1λ4d	PUNCT
ejpam-3273	99	8	−	−	PROPN
ejpam-3273	100	1	λ1λ4	λ1λ4	NOUN
ejpam-3273	100	2	=	=	NOUN
ejpam-3273	100	3	0	0	X
ejpam-3273	100	4	.	.	PUNCT
ejpam-3273	101	1	this	this	PRON
ejpam-3273	101	2	implies	imply	VERB
ejpam-3273	101	3	that	that	SCONJ
ejpam-3273	101	4	d	d	PROPN
ejpam-3273	101	5	=	=	SYM
ejpam-3273	101	6	1	1	NUM
ejpam-3273	101	7	,	,	PUNCT
ejpam-3273	101	8	a	a	DET
ejpam-3273	101	9	contradiction	contradiction	NOUN
ejpam-3273	101	10	.	.	PUNCT
ejpam-3273	102	1	thus	thus	ADV
ejpam-3273	102	2	γ4	γ4	VERB
ejpam-3273	102	3	+	+	CCONJ
ejpam-3273	102	4	λ1λ4γ	λ1λ4γ	SYM
ejpam-3273	102	5	2	2	NUM
ejpam-3273	102	6	+	+	CCONJ
ejpam-3273	102	7	(	(	PUNCT
ejpam-3273	102	8	λ1λ4	λ1λ4	NOUN
ejpam-3273	102	9	)	)	PUNCT
ejpam-3273	102	10	2	2	NUM
ejpam-3273	102	11	=	=	SYM
ejpam-3273	102	12	0	0	NUM
ejpam-3273	102	13	.	.	PUNCT
ejpam-3273	103	1	it	it	PRON
ejpam-3273	103	2	follows	follow	VERB
ejpam-3273	103	3	that	that	SCONJ
ejpam-3273	103	4	λ2λ3γ	λ2λ3γ	NUM
ejpam-3273	103	5	4	4	NUM
ejpam-3273	103	6	+	+	CCONJ
ejpam-3273	103	7	λ1λ2λ3λ4γ	λ1λ2λ3λ4γ	VERB
ejpam-3273	103	8	2	2	NUM
ejpam-3273	103	9	+	+	CCONJ
ejpam-3273	103	10	λ21λ2λ3λ	λ21λ2λ3λ	ADJ
ejpam-3273	103	11	2	2	NUM
ejpam-3273	103	12	4	4	NUM
ejpam-3273	103	13	=	=	SYM
ejpam-3273	103	14	0	0	NUM
ejpam-3273	103	15	.	.	PUNCT
ejpam-3273	104	1	this	this	PRON
ejpam-3273	104	2	implies	imply	VERB
ejpam-3273	104	3	that	that	SCONJ
ejpam-3273	104	4	λ2λ3γ	λ2λ3γ	NUM
ejpam-3273	104	5	4	4	NUM
ejpam-3273	104	6	+	+	X
ejpam-3273	104	7	γ6	γ6	NOUN
ejpam-3273	104	8	+	+	CCONJ
ejpam-3273	104	9	λ1λ4γ	λ1λ4γ	SYM
ejpam-3273	104	10	4	4	NUM
ejpam-3273	104	11	=	=	SYM
ejpam-3273	104	12	0	0	NUM
ejpam-3273	104	13	.	.	PUNCT
ejpam-3273	105	1	thus	thus	ADV
ejpam-3273	105	2	λ2λ3	λ2λ3	X
ejpam-3273	105	3	+	+	CCONJ
ejpam-3273	105	4	γ2	γ2	ADJ
ejpam-3273	105	5	+	+	CCONJ
ejpam-3273	105	6	λ1λ4	λ1λ4	NOUN
ejpam-3273	105	7	=	=	SYM
ejpam-3273	105	8	0	0	X
ejpam-3273	105	9	.	.	PUNCT
ejpam-3273	105	10	theorem	theorem	NOUN
ejpam-3273	105	11	1	1	NUM
ejpam-3273	105	12	.	.	PUNCT
ejpam-3273	105	13	tuba	tuba	PROPN
ejpam-3273	105	14	’s	’s	PART
ejpam-3273	105	15	representation	representation	NOUN
ejpam-3273	105	16	ϕ	ϕ	PROPN
ejpam-3273	105	17	:	:	PUNCT
ejpam-3273	105	18	p3	p3	VERB
ejpam-3273	105	19	−→	−→	ADJ
ejpam-3273	105	20	gl4(c	gl4(c	NOUN
ejpam-3273	105	21	)	)	PUNCT
ejpam-3273	105	22	is	be	AUX
ejpam-3273	105	23	irreducible	irreducible	ADJ
ejpam-3273	105	24	if	if	SCONJ
ejpam-3273	105	25	the	the	DET
ejpam-3273	105	26	following	follow	VERB
ejpam-3273	105	27	hold	hold	VERB
ejpam-3273	105	28	true	true	ADJ
ejpam-3273	105	29	:	:	PUNCT
ejpam-3273	105	30	(	(	PUNCT
ejpam-3273	105	31	1	1	X
ejpam-3273	105	32	)	)	PUNCT
ejpam-3273	105	33	λi	λi	ADP
ejpam-3273	105	34	6=	6=	NUM
ejpam-3273	105	35	−λj	−λj	PROPN
ejpam-3273	105	36	,	,	PUNCT
ejpam-3273	105	37	where	where	SCONJ
ejpam-3273	105	38	i	i	PRON
ejpam-3273	105	39	,	,	PUNCT
ejpam-3273	105	40	j	j	PROPN
ejpam-3273	105	41	∈	∈	PROPN
ejpam-3273	105	42	{	{	PUNCT
ejpam-3273	105	43	1	1	NUM
ejpam-3273	105	44	,	,	PUNCT
ejpam-3273	105	45	2	2	NUM
ejpam-3273	105	46	,	,	PUNCT
ejpam-3273	105	47	3	3	NUM
ejpam-3273	105	48	,	,	PUNCT
ejpam-3273	105	49	4	4	NUM
ejpam-3273	105	50	}	}	PUNCT
ejpam-3273	105	51	(	(	PUNCT
ejpam-3273	105	52	2	2	X
ejpam-3273	105	53	)	)	PUNCT
ejpam-3273	105	54	γ2	γ2	NOUN
ejpam-3273	105	55	+	+	CCONJ
ejpam-3273	105	56	λlλ4	λlλ4	PROPN
ejpam-3273	105	57	6=	6=	ADP
ejpam-3273	105	58	0	0	NUM
ejpam-3273	105	59	,	,	PUNCT
ejpam-3273	105	60	where	where	SCONJ
ejpam-3273	105	61	l	l	PROPN
ejpam-3273	105	62	∈	∈	PROPN
ejpam-3273	105	63	{	{	PUNCT
ejpam-3273	105	64	1	1	NUM
ejpam-3273	105	65	,	,	PUNCT
ejpam-3273	105	66	2	2	NUM
ejpam-3273	105	67	,	,	PUNCT
ejpam-3273	105	68	3	3	NUM
ejpam-3273	105	69	}	}	PUNCT
ejpam-3273	105	70	(	(	PUNCT
ejpam-3273	105	71	3	3	X
ejpam-3273	105	72	)	)	PUNCT
ejpam-3273	105	73	γ2(λi	γ2(λi	PROPN
ejpam-3273	105	74	+	+	CCONJ
ejpam-3273	105	75	λ3	λ3	PROPN
ejpam-3273	105	76	+	+	CCONJ
ejpam-3273	105	77	λ4	λ4	ADJ
ejpam-3273	105	78	)	)	PUNCT
ejpam-3273	106	1	+	+	CCONJ
ejpam-3273	106	2	λiλjλ3	λiλjλ3	X
ejpam-3273	106	3	+	+	X
ejpam-3273	107	1	λiλjλ4	λiλjλ4	NOUN
ejpam-3273	108	1	+	+	CCONJ
ejpam-3273	108	2	λjλ3λ4	λjλ3λ4	NOUN
ejpam-3273	108	3	6=	6=	ADP
ejpam-3273	108	4	0	0	NUM
ejpam-3273	108	5	,	,	PUNCT
ejpam-3273	108	6	where	where	SCONJ
ejpam-3273	108	7	{	{	PUNCT
ejpam-3273	108	8	i	i	NOUN
ejpam-3273	108	9	,	,	PUNCT
ejpam-3273	108	10	j	j	PROPN
ejpam-3273	108	11	}	}	PUNCT
ejpam-3273	108	12	∈	∈	PROPN
ejpam-3273	108	13	{	{	PUNCT
ejpam-3273	108	14	1	1	NUM
ejpam-3273	108	15	,	,	PUNCT
ejpam-3273	108	16	2	2	NUM
ejpam-3273	108	17	}	}	PUNCT
ejpam-3273	108	18	(	(	PUNCT
ejpam-3273	108	19	4	4	NUM
ejpam-3273	108	20	)	)	PUNCT
ejpam-3273	108	21	(	(	PUNCT
ejpam-3273	108	22	γ2	γ2	NOUN
ejpam-3273	108	23	+	+	PROPN
ejpam-3273	108	24	λ2r)(γ	λ2r)(γ	PROPN
ejpam-3273	108	25	2	2	NUM
ejpam-3273	108	26	+	+	CCONJ
ejpam-3273	108	27	λrλl	λrλl	NOUN
ejpam-3273	108	28	+	+	CCONJ
ejpam-3273	108	29	λsλk	λsλk	NOUN
ejpam-3273	108	30	)	)	PUNCT
ejpam-3273	108	31	6=	6=	ADP
ejpam-3273	108	32	0	0	NUM
ejpam-3273	108	33	,	,	PUNCT
ejpam-3273	108	34	where	where	SCONJ
ejpam-3273	108	35	{	{	PUNCT
ejpam-3273	108	36	r	r	NOUN
ejpam-3273	108	37	,	,	PUNCT
ejpam-3273	108	38	s	s	NOUN
ejpam-3273	108	39	,	,	PUNCT
ejpam-3273	108	40	l	l	NOUN
ejpam-3273	108	41	,	,	PUNCT
ejpam-3273	108	42	k	k	NOUN
ejpam-3273	108	43	}	}	PUNCT
ejpam-3273	108	44	=	=	SYM
ejpam-3273	108	45	{	{	PUNCT
ejpam-3273	108	46	1	1	NUM
ejpam-3273	108	47	,	,	PUNCT
ejpam-3273	108	48	2	2	NUM
ejpam-3273	108	49	,	,	PUNCT
ejpam-3273	108	50	3	3	NUM
ejpam-3273	108	51	,	,	PUNCT
ejpam-3273	108	52	4	4	NUM
ejpam-3273	108	53	}	}	PUNCT
ejpam-3273	108	54	proof	proof	NOUN
ejpam-3273	108	55	.	.	PUNCT
ejpam-3273	109	1	to	to	PART
ejpam-3273	109	2	get	get	VERB
ejpam-3273	109	3	contradiction	contradiction	NOUN
ejpam-3273	109	4	,	,	PUNCT
ejpam-3273	109	5	suppose	suppose	VERB
ejpam-3273	109	6	that	that	SCONJ
ejpam-3273	109	7	this	this	DET
ejpam-3273	109	8	representation	representation	NOUN
ejpam-3273	109	9	ϕ	ϕ	NOUN
ejpam-3273	109	10	:	:	PUNCT
ejpam-3273	109	11	p3	p3	VERB
ejpam-3273	109	12	−→	−→	ADJ
ejpam-3273	109	13	gl4(c	gl4(c	NOUN
ejpam-3273	109	14	)	)	PUNCT
ejpam-3273	109	15	is	be	AUX
ejpam-3273	109	16	reducible	reducible	ADJ
ejpam-3273	109	17	.that	.that	PRON
ejpam-3273	109	18	is	be	AUX
ejpam-3273	109	19	,	,	PUNCT
ejpam-3273	109	20	there	there	PRON
ejpam-3273	109	21	exists	exist	VERB
ejpam-3273	109	22	a	a	DET
ejpam-3273	109	23	proper	proper	ADJ
ejpam-3273	109	24	non	non	ADJ
ejpam-3273	109	25	-	-	ADJ
ejpam-3273	109	26	zero	zero	ADJ
ejpam-3273	109	27	invariant	invariant	ADJ
ejpam-3273	109	28	subspace	subspace	NOUN
ejpam-3273	109	29	s	s	PROPN
ejpam-3273	109	30	,	,	PUNCT
ejpam-3273	109	31	of	of	ADP
ejpam-3273	109	32	dimension	dimension	NOUN
ejpam-3273	109	33	1	1	NUM
ejpam-3273	109	34	,	,	PUNCT
ejpam-3273	109	35	2	2	NUM
ejpam-3273	109	36	or	or	CCONJ
ejpam-3273	109	37	3.we	3.we	NUM
ejpam-3273	109	38	consider	consider	VERB
ejpam-3273	109	39	15	15	NUM
ejpam-3273	109	40	cases	case	NOUN
ejpam-3273	109	41	.	.	PUNCT
ejpam-3273	110	1	we	we	PRON
ejpam-3273	110	2	use	use	VERB
ejpam-3273	110	3	e1	e1	NOUN
ejpam-3273	110	4	,	,	PUNCT
ejpam-3273	110	5	e2	e2	PROPN
ejpam-3273	110	6	,	,	PUNCT
ejpam-3273	110	7	e3	e3	NOUN
ejpam-3273	110	8	,	,	PUNCT
ejpam-3273	110	9	and	and	CCONJ
ejpam-3273	110	10	e4	e4	PROPN
ejpam-3273	110	11	as	as	ADP
ejpam-3273	110	12	the	the	DET
ejpam-3273	110	13	canonical	canonical	ADJ
ejpam-3273	110	14	basis	basis	NOUN
ejpam-3273	110	15	of	of	ADP
ejpam-3273	110	16	c4	c4	NOUN
ejpam-3273	110	17	.	.	PUNCT
ejpam-3273	111	1	let	let	VERB
ejpam-3273	111	2	α	α	PRON
ejpam-3273	111	3	,	,	PUNCT
ejpam-3273	111	4	β	β	X
ejpam-3273	111	5	and	and	CCONJ
ejpam-3273	111	6	δ	δ	PROPN
ejpam-3273	111	7	be	be	VERB
ejpam-3273	111	8	non	non	ADJ
ejpam-3273	111	9	-	-	ADJ
ejpam-3273	111	10	zero	zero	ADJ
ejpam-3273	111	11	complex	complex	ADJ
ejpam-3273	111	12	numbers	number	NOUN
ejpam-3273	111	13	.	.	PUNCT
ejpam-3273	112	1	case	case	NOUN
ejpam-3273	112	2	1	1	NUM
ejpam-3273	112	3	:	:	PUNCT
ejpam-3273	112	4	let	let	VERB
ejpam-3273	112	5	e1	e1	NOUN
ejpam-3273	112	6	∈	∈	PROPN
ejpam-3273	112	7	s	s	PART
ejpam-3273	112	8	,	,	PUNCT
ejpam-3273	112	9	it	it	PRON
ejpam-3273	112	10	follows	follow	VERB
ejpam-3273	112	11	that	that	SCONJ
ejpam-3273	112	12	a23e1	a23e1	VERB
ejpam-3273	112	13	−	−	PROPN
ejpam-3273	112	14	λ24e1	λ24e1	PROPN
ejpam-3273	112	15	∈	∈	PROPN
ejpam-3273	112	16	s	s	PART
ejpam-3273	112	17	,	,	PUNCT
ejpam-3273	112	18	then	then	ADV
ejpam-3273	112	19			PROPN
ejpam-3273	112	20	0	0	NUM
ejpam-3273	112	21	r2	r2	PROPN
ejpam-3273	112	22	r3	r3	PROPN
ejpam-3273	112	23	r4	r4	PROPN
ejpam-3273	112	24			NOUN
ejpam-3273	112	25	∈	∈	PROPN
ejpam-3273	112	26	s.	s.	PROPN
ejpam-3273	112	27	here	here	ADV
ejpam-3273	112	28	,	,	PUNCT
ejpam-3273	112	29	the	the	DET
ejpam-3273	112	30	constants	constant	NOUN
ejpam-3273	112	31	are	be	AUX
ejpam-3273	112	32	given	give	VERB
ejpam-3273	112	33	by	by	ADP
ejpam-3273	112	34	r2	r2	PROPN
ejpam-3273	112	35	=	=	SYM
ejpam-3273	112	36	−λ3(λ3	−λ3(λ3	PROPN
ejpam-3273	112	37	+	+	CCONJ
ejpam-3273	112	38	λ4	λ4	ADJ
ejpam-3273	112	39	)	)	PUNCT
ejpam-3273	112	40	,	,	PUNCT
ejpam-3273	112	41	r3	r3	X
ejpam-3273	112	42	=	=	PUNCT
ejpam-3273	113	1	λ2[dλ4	λ2[dλ4	NOUN
ejpam-3273	113	2	+	+	PUNCT
ejpam-3273	113	3	(	(	PUNCT
ejpam-3273	113	4	d	d	X
ejpam-3273	113	5	+	+	SYM
ejpam-3273	113	6	1)λ3	1)λ3	NUM
ejpam-3273	113	7	+	+	NOUN
ejpam-3273	113	8	dλ2	dλ2	NOUN
ejpam-3273	113	9	]	]	X
ejpam-3273	113	10	,	,	PUNCT
ejpam-3273	113	11	r4	r4	PROPN
ejpam-3273	113	12	=	=	SYM
ejpam-3273	113	13	λ1[−d3	λ1[−d3	PROPN
ejpam-3273	113	14	(	(	PUNCT
ejpam-3273	113	15	λ4	λ4	PROPN
ejpam-3273	113	16	+	+	CCONJ
ejpam-3273	113	17	λ1)−	λ1)−	NOUN
ejpam-3273	113	18	(	(	PUNCT
ejpam-3273	113	19	d3	d3	PROPN
ejpam-3273	113	20	+	+	SYM
ejpam-3273	113	21	d2	d2	ADJ
ejpam-3273	113	22	+	+	ADP
ejpam-3273	113	23	d)(λ3	d)(λ3	NOUN
ejpam-3273	113	24	+	+	X
ejpam-3273	113	25	λ2	λ2	NOUN
ejpam-3273	113	26	)	)	PUNCT
ejpam-3273	113	27	]	]	PUNCT
ejpam-3273	113	28	.	.	PUNCT
ejpam-3273	114	1	h.	h.	PROPN
ejpam-3273	114	2	a.	a.	PROPN
ejpam-3273	114	3	haidar	haidar	PROPN
ejpam-3273	114	4	,	,	PUNCT
ejpam-3273	114	5	m.	m.	PROPN
ejpam-3273	114	6	n.	n.	PROPN
ejpam-3273	114	7	abdulrahim	abdulrahim	PROPN
ejpam-3273	114	8	/	/	SYM
ejpam-3273	114	9	eur	eur	PROPN
ejpam-3273	114	10	.	.	PUNCT
ejpam-3273	115	1	j.	j.	PROPN
ejpam-3273	115	2	pure	pure	PROPN
ejpam-3273	115	3	appl	appl	PROPN
ejpam-3273	115	4	.	.	PROPN
ejpam-3273	115	5	math	math	PROPN
ejpam-3273	115	6	,	,	PUNCT
ejpam-3273	115	7	11	11	NUM
ejpam-3273	115	8	(	(	PUNCT
ejpam-3273	115	9	3	3	NUM
ejpam-3273	115	10	)	)	PUNCT
ejpam-3273	115	11	(	(	PUNCT
ejpam-3273	115	12	2018	2018	NUM
ejpam-3273	115	13	)	)	PUNCT
ejpam-3273	115	14	,	,	PUNCT
ejpam-3273	115	15	682	682	NUM
ejpam-3273	115	16	-	-	SYM
ejpam-3273	115	17	701	701	NUM
ejpam-3273	115	18	687	687	NUM
ejpam-3273	115	19	we	we	PRON
ejpam-3273	115	20	have	have	VERB
ejpam-3273	115	21	a23(r2e2	a23(r2e2	PROPN
ejpam-3273	115	22	+	+	PROPN
ejpam-3273	115	23	r3e3	r3e3	PROPN
ejpam-3273	115	24	+	+	NOUN
ejpam-3273	115	25	r4e4)−	r4e4)−	NOUN
ejpam-3273	115	26	λ23(r2e2	λ23(r2e2	PROPN
ejpam-3273	115	27	+	+	NOUN
ejpam-3273	115	28	r3e3	r3e3	PROPN
ejpam-3273	115	29	+	+	ADJ
ejpam-3273	115	30	r4e4	r4e4	NOUN
ejpam-3273	115	31	)	)	PUNCT
ejpam-3273	115	32	∈	∈	PROPN
ejpam-3273	115	33	s.	s.	PROPN
ejpam-3273	115	34	then	then	ADV
ejpam-3273	115	35			VERB
ejpam-3273	115	36	0	0	NUM
ejpam-3273	115	37	0	0	NUM
ejpam-3273	115	38	p3	p3	PROPN
ejpam-3273	115	39	p4	p4	ADJ
ejpam-3273	115	40			NOUN
ejpam-3273	115	41	∈	∈	PROPN
ejpam-3273	115	42	s	s	NOUN
ejpam-3273	115	43	,	,	PUNCT
ejpam-3273	115	44	where	where	SCONJ
ejpam-3273	115	45	p3	p3	PROPN
ejpam-3273	115	46	=	=	PRON
ejpam-3273	115	47	−r2(d	−r2(d	PROPN
ejpam-3273	115	48	+	+	CCONJ
ejpam-3273	115	49	1)λ2(λ2	1)λ2(λ2	NUM
ejpam-3273	115	50	+	+	CCONJ
ejpam-3273	115	51	λ3	λ3	PROPN
ejpam-3273	115	52	)	)	PUNCT
ejpam-3273	116	1	+	+	NOUN
ejpam-3273	116	2	r3(λ	r3(λ	PROPN
ejpam-3273	116	3	2	2	NUM
ejpam-3273	116	4	2	2	NUM
ejpam-3273	116	5	−	−	PROPN
ejpam-3273	116	6	λ23	λ23	PROPN
ejpam-3273	116	7	)	)	PUNCT
ejpam-3273	116	8	,	,	PUNCT
ejpam-3273	116	9	p4	p4	NOUN
ejpam-3273	116	10	=	=	PROPN
ejpam-3273	116	11	kr2	kr2	PROPN
ejpam-3273	116	12	−r3(d	−r3(d	PROPN
ejpam-3273	116	13	2	2	NUM
ejpam-3273	117	1	+	+	NOUN
ejpam-3273	117	2	d	d	PROPN
ejpam-3273	117	3	+	+	NUM
ejpam-3273	117	4	1)λ1(λ1	1)λ1(λ1	NUM
ejpam-3273	117	5	+	+	CCONJ
ejpam-3273	117	6	λ2	λ2	NOUN
ejpam-3273	117	7	)	)	PUNCT
ejpam-3273	118	1	+	+	VERB
ejpam-3273	118	2	r4(λ	r4(λ	NUM
ejpam-3273	118	3	2	2	NUM
ejpam-3273	118	4	1	1	NUM
ejpam-3273	118	5	−	−	PROPN
ejpam-3273	118	6	λ23	λ23	PROPN
ejpam-3273	118	7	)	)	PUNCT
ejpam-3273	118	8	.	.	PUNCT
ejpam-3273	119	1	also	also	ADV
ejpam-3273	119	2	,	,	PUNCT
ejpam-3273	119	3	we	we	PRON
ejpam-3273	119	4	have	have	VERB
ejpam-3273	119	5	a23(p3e3	a23(p3e3	ADJ
ejpam-3273	119	6	+	+	NOUN
ejpam-3273	119	7	p4e4)−	p4e4)−	NOUN
ejpam-3273	119	8	λ22(p3e3	λ22(p3e3	NOUN
ejpam-3273	119	9	+	+	CCONJ
ejpam-3273	119	10	p4e4	p4e4	NOUN
ejpam-3273	119	11	)	)	PUNCT
ejpam-3273	119	12	∈	∈	PROPN
ejpam-3273	119	13	s.	s.	PROPN
ejpam-3273	119	14	then	then	ADV
ejpam-3273	119	15			VERB
ejpam-3273	119	16	0	0	NUM
ejpam-3273	119	17	0	0	SYM
ejpam-3273	119	18	0	0	NUM
ejpam-3273	119	19	t	t	NOUN
ejpam-3273	119	20			NOUN
ejpam-3273	119	21	∈	∈	PROPN
ejpam-3273	119	22	s.	s.	PROPN
ejpam-3273	119	23	here	here	ADV
ejpam-3273	119	24	,	,	PUNCT
ejpam-3273	119	25	t	t	NOUN
ejpam-3273	119	26	=	=	SYM
ejpam-3273	119	27	−p3(d	−p3(d	NOUN
ejpam-3273	119	28	2	2	NUM
ejpam-3273	120	1	+	+	NOUN
ejpam-3273	120	2	d	d	NOUN
ejpam-3273	120	3	+	+	NUM
ejpam-3273	120	4	1)λ1(λ1	1)λ1(λ1	NUM
ejpam-3273	120	5	+	+	CCONJ
ejpam-3273	120	6	λ2	λ2	NOUN
ejpam-3273	120	7	)	)	PUNCT
ejpam-3273	121	1	+	+	X
ejpam-3273	121	2	p4(λ	p4(λ	NUM
ejpam-3273	121	3	2	2	NUM
ejpam-3273	121	4	1	1	NUM
ejpam-3273	121	5	−	−	PROPN
ejpam-3273	121	6	λ22	λ22	NOUN
ejpam-3273	121	7	)	)	PUNCT
ejpam-3273	121	8	.	.	PUNCT
ejpam-3273	122	1	if	if	SCONJ
ejpam-3273	122	2	t	t	PROPN
ejpam-3273	122	3	6=	6=	NUM
ejpam-3273	122	4	0	0	NUM
ejpam-3273	122	5	,	,	PUNCT
ejpam-3273	122	6	then	then	ADV
ejpam-3273	122	7	e4	e4	PROPN
ejpam-3273	122	8	∈	∈	PROPN
ejpam-3273	122	9	s.	s.	PROPN
ejpam-3273	122	10	this	this	PRON
ejpam-3273	122	11	implies	imply	VERB
ejpam-3273	122	12	that	that	SCONJ
ejpam-3273	122	13	p3e3	p3e3	PROPN
ejpam-3273	122	14	∈	∈	PROPN
ejpam-3273	122	15	s.	s.	PROPN
ejpam-3273	122	16	in	in	ADP
ejpam-3273	122	17	the	the	DET
ejpam-3273	122	18	case	case	NOUN
ejpam-3273	122	19	p3	p3	NOUN
ejpam-3273	122	20	=	=	SYM
ejpam-3273	122	21	0	0	NUM
ejpam-3273	122	22	,	,	PUNCT
ejpam-3273	122	23	we	we	PRON
ejpam-3273	122	24	get	get	AUX
ejpam-3273	122	25	−r2(d	−r2(d	ADJ
ejpam-3273	122	26	+	+	CCONJ
ejpam-3273	122	27	1)λ2	1)λ2	NUM
ejpam-3273	122	28	+	+	NOUN
ejpam-3273	122	29	r3(λ2	r3(λ2	PRON
ejpam-3273	122	30	−	−	PROPN
ejpam-3273	122	31	λ3	λ3	PROPN
ejpam-3273	122	32	)	)	PUNCT
ejpam-3273	122	33	=	=	SYM
ejpam-3273	122	34	0	0	NUM
ejpam-3273	122	35	,	,	PUNCT
ejpam-3273	122	36	and	and	CCONJ
ejpam-3273	122	37	so	so	ADV
ejpam-3273	122	38	(	(	PUNCT
ejpam-3273	123	1	d	d	NOUN
ejpam-3273	123	2	+	+	NOUN
ejpam-3273	123	3	1)λ2λ3(λ3	1)λ2λ3(λ3	NUM
ejpam-3273	123	4	+	+	CCONJ
ejpam-3273	123	5	λ4	λ4	ADJ
ejpam-3273	123	6	)	)	PUNCT
ejpam-3273	124	1	+	+	CCONJ
ejpam-3273	124	2	(	(	PUNCT
ejpam-3273	124	3	λ2	λ2	NOUN
ejpam-3273	124	4	−	−	PROPN
ejpam-3273	124	5	λ3)λ2[dλ4	λ3)λ2[dλ4	VERB
ejpam-3273	124	6	+	+	CCONJ
ejpam-3273	125	1	(	(	PUNCT
ejpam-3273	125	2	d	d	X
ejpam-3273	125	3	+	+	SYM
ejpam-3273	125	4	1)λ3	1)λ3	NUM
ejpam-3273	125	5	+	+	NOUN
ejpam-3273	125	6	dλ2	dλ2	NOUN
ejpam-3273	125	7	]	]	X
ejpam-3273	125	8	=	=	SYM
ejpam-3273	126	1	0	0	X
ejpam-3273	126	2	.	.	PUNCT
ejpam-3273	127	1	thus	thus	ADV
ejpam-3273	127	2	λ2(λ3	λ2(λ3	DET
ejpam-3273	127	3	+	+	CCONJ
ejpam-3273	127	4	dλ2)(λ4	dλ2)(λ4	ADJ
ejpam-3273	127	5	+	+	ADJ
ejpam-3273	127	6	λ2	λ2	NOUN
ejpam-3273	127	7	)	)	PUNCT
ejpam-3273	127	8	=	=	SYM
ejpam-3273	128	1	0	0	NUM
ejpam-3273	128	2	,	,	PUNCT
ejpam-3273	128	3	which	which	PRON
ejpam-3273	128	4	implies	imply	VERB
ejpam-3273	128	5	that	that	SCONJ
ejpam-3273	128	6	λ3	λ3	PROPN
ejpam-3273	128	7	+	+	PROPN
ejpam-3273	128	8	dλ2	dλ2	PROPN
ejpam-3273	128	9	=	=	SYM
ejpam-3273	128	10	0	0	NUM
ejpam-3273	128	11	.	.	PUNCT
ejpam-3273	129	1	this	this	PRON
ejpam-3273	129	2	is	be	AUX
ejpam-3273	129	3	equivalent	equivalent	ADJ
ejpam-3273	129	4	to	to	AUX
ejpam-3273	129	5	γ2	γ2	VERB
ejpam-3273	129	6	+	+	CCONJ
ejpam-3273	129	7	λ22	λ22	NOUN
ejpam-3273	129	8	=	=	SYM
ejpam-3273	129	9	0	0	PUNCT
ejpam-3273	130	1	(	(	PUNCT
ejpam-3273	130	2	lemma	lemma	PROPN
ejpam-3273	130	3	10	10	NUM
ejpam-3273	130	4	)	)	PUNCT
ejpam-3273	130	5	,	,	PUNCT
ejpam-3273	130	6	a	a	DET
ejpam-3273	130	7	contradiction	contradiction	NOUN
ejpam-3273	130	8	.	.	PUNCT
ejpam-3273	131	1	in	in	ADP
ejpam-3273	131	2	the	the	DET
ejpam-3273	131	3	case	case	NOUN
ejpam-3273	131	4	p3	p3	PROPN
ejpam-3273	131	5	6=	6=	ADP
ejpam-3273	131	6	0	0	NUM
ejpam-3273	131	7	,	,	PUNCT
ejpam-3273	131	8	we	we	PRON
ejpam-3273	131	9	get	get	VERB
ejpam-3273	131	10	e3	e3	NOUN
ejpam-3273	131	11	∈	∈	NOUN
ejpam-3273	131	12	s.	s.	PROPN
ejpam-3273	132	1	but	but	CCONJ
ejpam-3273	132	2	we	we	PRON
ejpam-3273	132	3	have	have	VERB
ejpam-3273	132	4	r2e2	r2e2	PROPN
ejpam-3273	133	1	+	+	NOUN
ejpam-3273	133	2	r3e3	r3e3	PROPN
ejpam-3273	133	3	+	+	ADJ
ejpam-3273	133	4	r4e4	r4e4	NOUN
ejpam-3273	133	5	∈	∈	NOUN
ejpam-3273	133	6	s	s	NOUN
ejpam-3273	133	7	,	,	PUNCT
ejpam-3273	133	8	and	and	CCONJ
ejpam-3273	133	9	r2	r2	PROPN
ejpam-3273	133	10	=	=	SYM
ejpam-3273	133	11	−λ3(λ3	−λ3(λ3	PROPN
ejpam-3273	133	12	+	+	CCONJ
ejpam-3273	133	13	λ4	λ4	ADJ
ejpam-3273	133	14	)	)	PUNCT
ejpam-3273	134	1	6=	6=	ADP
ejpam-3273	134	2	0	0	X
ejpam-3273	134	3	.	.	PUNCT
ejpam-3273	135	1	so	so	ADV
ejpam-3273	135	2	e2	e2	PROPN
ejpam-3273	135	3	∈	∈	PROPN
ejpam-3273	135	4	s	s	NOUN
ejpam-3273	135	5	,	,	PUNCT
ejpam-3273	135	6	and	and	CCONJ
ejpam-3273	135	7	also	also	ADV
ejpam-3273	135	8	e1	e1	NOUN
ejpam-3273	135	9	∈	∈	PROPN
ejpam-3273	135	10	s.	s.	PROPN
ejpam-3273	135	11	thus	thus	ADV
ejpam-3273	135	12	s	s	PART
ejpam-3273	135	13	=	=	SYM
ejpam-3273	135	14	c4	c4	NOUN
ejpam-3273	135	15	,	,	PUNCT
ejpam-3273	135	16	a	a	DET
ejpam-3273	135	17	contradiction	contradiction	NOUN
ejpam-3273	135	18	.	.	PUNCT
ejpam-3273	136	1	therefore	therefore	ADV
ejpam-3273	136	2	,	,	PUNCT
ejpam-3273	136	3	we	we	PRON
ejpam-3273	136	4	have	have	VERB
ejpam-3273	136	5	t	t	NOUN
ejpam-3273	136	6	=	=	SYM
ejpam-3273	136	7	0	0	PROPN
ejpam-3273	136	8	.	.	PUNCT
ejpam-3273	137	1	this	this	PRON
ejpam-3273	137	2	implies	imply	VERB
ejpam-3273	137	3	that	that	SCONJ
ejpam-3273	137	4	λ2λ3	λ2λ3	X
ejpam-3273	137	5	+	+	ADJ
ejpam-3273	137	6	d3λ21	d3λ21	ADJ
ejpam-3273	137	7	+	+	ADJ
ejpam-3273	137	8	dλ1λ2	dλ1λ2	PROPN
ejpam-3273	137	9	+	+	ADJ
ejpam-3273	137	10	dλ1λ3	dλ1λ3	PROPN
ejpam-3273	137	11	+	+	ADJ
ejpam-3273	137	12	d2λ1λ2	d2λ1λ2	PROPN
ejpam-3273	137	13	+	+	NOUN
ejpam-3273	137	14	d2λ1λ3	d2λ1λ3	NOUN
ejpam-3273	137	15	=	=	NOUN
ejpam-3273	137	16	0	0	NUM
ejpam-3273	137	17	.	.	PUNCT
ejpam-3273	138	1	we	we	PRON
ejpam-3273	138	2	get	get	VERB
ejpam-3273	138	3	λ1λ	λ1λ	PROPN
ejpam-3273	138	4	2	2	NUM
ejpam-3273	138	5	4(λ2λ3	4(λ2λ3	NUM
ejpam-3273	139	1	+	+	ADJ
ejpam-3273	139	2	d3λ21	d3λ21	VERB
ejpam-3273	139	3	+	+	ADJ
ejpam-3273	139	4	dλ1λ2	dλ1λ2	PROPN
ejpam-3273	139	5	+	+	ADJ
ejpam-3273	139	6	dλ1λ3	dλ1λ3	PROPN
ejpam-3273	139	7	+	+	ADJ
ejpam-3273	139	8	d2λ1λ2	d2λ1λ2	PROPN
ejpam-3273	139	9	+	+	NOUN
ejpam-3273	139	10	d2λ1λ3	d2λ1λ3	NOUN
ejpam-3273	139	11	)	)	PUNCT
ejpam-3273	139	12	=	=	SYM
ejpam-3273	139	13	0	0	X
ejpam-3273	139	14	.	.	PUNCT
ejpam-3273	139	15	thus	thus	ADV
ejpam-3273	139	16	γ2[γ2(λ2	γ2[γ2(λ2	X
ejpam-3273	140	1	+	+	CCONJ
ejpam-3273	140	2	λ3	λ3	PROPN
ejpam-3273	140	3	+	+	CCONJ
ejpam-3273	140	4	λ4	λ4	ADJ
ejpam-3273	140	5	)	)	PUNCT
ejpam-3273	141	1	+	+	CCONJ
ejpam-3273	141	2	λ1λ2λ3	λ1λ2λ3	NOUN
ejpam-3273	141	3	+	+	CCONJ
ejpam-3273	141	4	λ1λ2λ4	λ1λ2λ4	NOUN
ejpam-3273	141	5	+	+	X
ejpam-3273	141	6	λ1λ3λ4	λ1λ3λ4	NOUN
ejpam-3273	141	7	]	]	X
ejpam-3273	141	8	=	=	SYM
ejpam-3273	141	9	0	0	NUM
ejpam-3273	141	10	,	,	PUNCT
ejpam-3273	141	11	a	a	DET
ejpam-3273	141	12	contradiction	contradiction	NOUN
ejpam-3273	141	13	.	.	PUNCT
ejpam-3273	142	1	case	case	NOUN
ejpam-3273	142	2	2	2	NUM
ejpam-3273	142	3	:	:	PUNCT
ejpam-3273	142	4	let	let	VERB
ejpam-3273	142	5	e2	e2	PROPN
ejpam-3273	142	6	∈	∈	PROPN
ejpam-3273	142	7	s	s	PART
ejpam-3273	142	8	,	,	PUNCT
ejpam-3273	142	9	it	it	PRON
ejpam-3273	142	10	follows	follow	VERB
ejpam-3273	142	11	that	that	SCONJ
ejpam-3273	142	12	h.	h.	PROPN
ejpam-3273	142	13	a.	a.	PROPN
ejpam-3273	142	14	haidar	haidar	PROPN
ejpam-3273	142	15	,	,	PUNCT
ejpam-3273	142	16	m.	m.	PROPN
ejpam-3273	142	17	n.	n.	PROPN
ejpam-3273	142	18	abdulrahim	abdulrahim	PROPN
ejpam-3273	142	19	/	/	SYM
ejpam-3273	142	20	eur	eur	PROPN
ejpam-3273	142	21	.	.	PUNCT
ejpam-3273	143	1	j.	j.	PROPN
ejpam-3273	143	2	pure	pure	PROPN
ejpam-3273	143	3	appl	appl	PROPN
ejpam-3273	143	4	.	.	PROPN
ejpam-3273	143	5	math	math	PROPN
ejpam-3273	143	6	,	,	PUNCT
ejpam-3273	143	7	11	11	NUM
ejpam-3273	143	8	(	(	PUNCT
ejpam-3273	143	9	3	3	NUM
ejpam-3273	143	10	)	)	PUNCT
ejpam-3273	143	11	(	(	PUNCT
ejpam-3273	143	12	2018	2018	NUM
ejpam-3273	143	13	)	)	PUNCT
ejpam-3273	143	14	,	,	PUNCT
ejpam-3273	143	15	682	682	NUM
ejpam-3273	143	16	-	-	SYM
ejpam-3273	143	17	701	701	NUM
ejpam-3273	143	18	688	688	NUM
ejpam-3273	143	19	a12e2	a12e2	NOUN
ejpam-3273	143	20	−	−	PROPN
ejpam-3273	144	1	λ22e2	λ22e2	PROPN
ejpam-3273	144	2	∈	∈	PROPN
ejpam-3273	144	3	s	s	PART
ejpam-3273	144	4	.	.	PUNCT
ejpam-3273	145	1	then	then	ADV
ejpam-3273	145	2			PROPN
ejpam-3273	145	3	(	(	PUNCT
ejpam-3273	145	4	1	1	NUM
ejpam-3273	145	5	+	+	ADJ
ejpam-3273	145	6	d−1	d−1	PROPN
ejpam-3273	145	7	+	+	PROPN
ejpam-3273	145	8	d−2)λ2	d−2)λ2	PROPN
ejpam-3273	145	9	(	(	PUNCT
ejpam-3273	145	10	λ1	λ1	ADJ
ejpam-3273	145	11	+	+	SYM
ejpam-3273	145	12	λ2	λ2	NOUN
ejpam-3273	145	13	)	)	PUNCT
ejpam-3273	145	14	0	0	NUM
ejpam-3273	145	15	0	0	NUM
ejpam-3273	145	16	0	0	NUM
ejpam-3273	145	17			NOUN
ejpam-3273	145	18	∈	∈	PROPN
ejpam-3273	145	19	s.	s.	PROPN
ejpam-3273	145	20	but	but	CCONJ
ejpam-3273	145	21	(	(	PUNCT
ejpam-3273	145	22	1	1	NUM
ejpam-3273	145	23	+	+	ADJ
ejpam-3273	145	24	d−1	d−1	PROPN
ejpam-3273	145	25	+	+	PROPN
ejpam-3273	145	26	d−2)λ2	d−2)λ2	PROPN
ejpam-3273	145	27	(	(	PUNCT
ejpam-3273	145	28	λ1	λ1	ADJ
ejpam-3273	145	29	+	+	SYM
ejpam-3273	145	30	λ2	λ2	NOUN
ejpam-3273	145	31	)	)	PUNCT
ejpam-3273	145	32	6=	6=	ADP
ejpam-3273	145	33	0	0	NUM
ejpam-3273	145	34	,	,	PUNCT
ejpam-3273	145	35	a	a	DET
ejpam-3273	145	36	contradiction	contradiction	NOUN
ejpam-3273	145	37	(	(	PUNCT
ejpam-3273	145	38	case	case	NOUN
ejpam-3273	145	39	1	1	NUM
ejpam-3273	145	40	)	)	PUNCT
ejpam-3273	145	41	.	.	PUNCT
ejpam-3273	146	1	case	case	NOUN
ejpam-3273	146	2	3	3	X
ejpam-3273	146	3	:	:	PUNCT
ejpam-3273	146	4	let	let	VERB
ejpam-3273	146	5	e4	e4	PROPN
ejpam-3273	146	6	∈	∈	PROPN
ejpam-3273	146	7	s	s	PART
ejpam-3273	146	8	,	,	PUNCT
ejpam-3273	146	9	it	it	PRON
ejpam-3273	146	10	follows	follow	VERB
ejpam-3273	146	11	that	that	SCONJ
ejpam-3273	146	12	1	1	NUM
ejpam-3273	146	13	λ4	λ4	ADJ
ejpam-3273	146	14	[	[	X
ejpam-3273	146	15	a12e4	a12e4	NOUN
ejpam-3273	146	16	−	−	PROPN
ejpam-3273	146	17	λ24e4	λ24e4	NOUN
ejpam-3273	146	18	]	]	X
ejpam-3273	146	19	∈	∈	PROPN
ejpam-3273	146	20	s.	s.	PROPN
ejpam-3273	146	21	then	then	ADV
ejpam-3273	146	22			PROPN
ejpam-3273	146	23	n1	n1	PROPN
ejpam-3273	146	24	n2	n2	PROPN
ejpam-3273	146	25	n3	n3	PROPN
ejpam-3273	146	26	0	0	NUM
ejpam-3273	146	27			PROPN
ejpam-3273	146	28	∈	∈	PROPN
ejpam-3273	146	29	s.	s.	PROPN
ejpam-3273	146	30	here	here	ADV
ejpam-3273	146	31	,	,	PUNCT
ejpam-3273	146	32	the	the	DET
ejpam-3273	146	33	constants	constant	NOUN
ejpam-3273	146	34	are	be	AUX
ejpam-3273	146	35	given	give	VERB
ejpam-3273	146	36	by	by	ADP
ejpam-3273	146	37	n1	n1	PROPN
ejpam-3273	146	38	=	=	SYM
ejpam-3273	146	39	λ1	λ1	PROPN
ejpam-3273	147	1	+	+	CCONJ
ejpam-3273	147	2	λ4	λ4	PROPN
ejpam-3273	147	3	+	+	CCONJ
ejpam-3273	148	1	(	(	PUNCT
ejpam-3273	148	2	1	1	NUM
ejpam-3273	148	3	+	+	ADJ
ejpam-3273	148	4	d−1	d−1	PROPN
ejpam-3273	148	5	+	+	PROPN
ejpam-3273	148	6	d−2	d−2	PROPN
ejpam-3273	148	7	)	)	PUNCT
ejpam-3273	148	8	(	(	PUNCT
ejpam-3273	148	9	λ2	λ2	NOUN
ejpam-3273	148	10	+	+	CCONJ
ejpam-3273	148	11	λ3	λ3	PROPN
ejpam-3273	148	12	)	)	PUNCT
ejpam-3273	148	13	,	,	PUNCT
ejpam-3273	148	14	n2	n2	NOUN
ejpam-3273	148	15	=	=	SYM
ejpam-3273	148	16	λ2	λ2	NOUN
ejpam-3273	148	17	+	+	CCONJ
ejpam-3273	148	18	λ4	λ4	ADJ
ejpam-3273	148	19	+	+	CCONJ
ejpam-3273	148	20	(	(	PUNCT
ejpam-3273	148	21	1	1	NUM
ejpam-3273	148	22	+	+	NOUN
ejpam-3273	148	23	d−1)λ3	d−1)λ3	NOUN
ejpam-3273	148	24	,	,	PUNCT
ejpam-3273	148	25	n3	n3	NOUN
ejpam-3273	148	26	=	=	SYM
ejpam-3273	148	27	λ3	λ3	PROPN
ejpam-3273	149	1	+	+	X
ejpam-3273	149	2	λ4	λ4	ADJ
ejpam-3273	149	3	.	.	PUNCT
ejpam-3273	150	1	we	we	PRON
ejpam-3273	150	2	have	have	AUX
ejpam-3273	150	3	a12(n1e1	a12(n1e1	VERB
ejpam-3273	150	4	+	+	PROPN
ejpam-3273	150	5	n2e2	n2e2	PROPN
ejpam-3273	150	6	+	+	ADJ
ejpam-3273	150	7	n3e3)−	n3e3)−	NOUN
ejpam-3273	150	8	λ23(n1e1	λ23(n1e1	PROPN
ejpam-3273	151	1	+	+	PROPN
ejpam-3273	151	2	n2e2	n2e2	PROPN
ejpam-3273	151	3	+	+	ADJ
ejpam-3273	151	4	n3e3	n3e3	NOUN
ejpam-3273	151	5	)	)	PUNCT
ejpam-3273	151	6	∈	∈	PROPN
ejpam-3273	151	7	s.	s.	PROPN
ejpam-3273	151	8	this	this	PRON
ejpam-3273	151	9	implies	imply	VERB
ejpam-3273	151	10	that	that	SCONJ
ejpam-3273	151	11			ADJ
ejpam-3273	151	12	m1	m1	PROPN
ejpam-3273	151	13	m2	m2	PROPN
ejpam-3273	151	14	0	0	NUM
ejpam-3273	151	15	0	0	NUM
ejpam-3273	151	16			NOUN
ejpam-3273	151	17	∈	∈	PROPN
ejpam-3273	151	18	s	s	NOUN
ejpam-3273	151	19	,	,	PUNCT
ejpam-3273	151	20	where	where	SCONJ
ejpam-3273	151	21	m1	m1	PROPN
ejpam-3273	151	22	=	=	PUNCT
ejpam-3273	151	23	n1(λ	n1(λ	PUNCT
ejpam-3273	151	24	2	2	NUM
ejpam-3273	151	25	1	1	NUM
ejpam-3273	151	26	−	−	PROPN
ejpam-3273	151	27	λ23	λ23	PROPN
ejpam-3273	151	28	)	)	PUNCT
ejpam-3273	152	1	+	+	ADJ
ejpam-3273	152	2	n2jλ2	n2jλ2	NOUN
ejpam-3273	152	3	(	(	PUNCT
ejpam-3273	152	4	λ1	λ1	ADJ
ejpam-3273	152	5	+	+	SYM
ejpam-3273	152	6	λ2	λ2	NOUN
ejpam-3273	152	7	)	)	PUNCT
ejpam-3273	152	8	+	+	ADJ
ejpam-3273	152	9	n3jλ3[λ1	n3jλ3[λ1	NOUN
ejpam-3273	153	1	+	+	CCONJ
ejpam-3273	153	2	λ3	λ3	PROPN
ejpam-3273	154	1	+	+	CCONJ
ejpam-3273	154	2	(	(	PUNCT
ejpam-3273	154	3	1	1	NUM
ejpam-3273	154	4	+	+	NOUN
ejpam-3273	154	5	d−1)λ2	d−1)λ2	PROPN
ejpam-3273	154	6	]	]	PUNCT
ejpam-3273	154	7	,	,	PUNCT
ejpam-3273	154	8	m2	m2	PROPN
ejpam-3273	154	9	=	=	PROPN
ejpam-3273	155	1	n2(λ	n2(λ	ADJ
ejpam-3273	155	2	2	2	NUM
ejpam-3273	155	3	2	2	NUM
ejpam-3273	155	4	−	−	PROPN
ejpam-3273	155	5	λ23	λ23	PROPN
ejpam-3273	155	6	)	)	PUNCT
ejpam-3273	156	1	+	+	NUM
ejpam-3273	156	2	n3iλ3	n3iλ3	NOUN
ejpam-3273	156	3	(	(	PUNCT
ejpam-3273	156	4	λ2	λ2	NOUN
ejpam-3273	156	5	+	+	CCONJ
ejpam-3273	156	6	λ3	λ3	PROPN
ejpam-3273	156	7	)	)	PUNCT
ejpam-3273	156	8	.	.	PUNCT
ejpam-3273	157	1	also	also	ADV
ejpam-3273	157	2	,	,	PUNCT
ejpam-3273	157	3	we	we	PRON
ejpam-3273	157	4	have	have	VERB
ejpam-3273	157	5	a12(m1e1	a12(m1e1	NOUN
ejpam-3273	157	6	+	+	ADJ
ejpam-3273	157	7	m2e2)−	m2e2)−	NOUN
ejpam-3273	157	8	λ22(m1e1	λ22(m1e1	PROPN
ejpam-3273	157	9	+	+	PROPN
ejpam-3273	157	10	m2e2	m2e2	NOUN
ejpam-3273	157	11	)	)	PUNCT
ejpam-3273	157	12	∈	∈	PROPN
ejpam-3273	157	13	s.	s.	PROPN
ejpam-3273	158	1	this	this	PRON
ejpam-3273	158	2	implies	imply	VERB
ejpam-3273	158	3	that	that	SCONJ
ejpam-3273	158	4			PROPN
ejpam-3273	158	5	t	t	NOUN
ejpam-3273	158	6	0	0	NUM
ejpam-3273	158	7	0	0	SYM
ejpam-3273	158	8	0	0	NUM
ejpam-3273	158	9			NOUN
ejpam-3273	158	10	∈	∈	PROPN
ejpam-3273	158	11	s	s	NOUN
ejpam-3273	158	12	,	,	PUNCT
ejpam-3273	158	13	where	where	SCONJ
ejpam-3273	158	14	t	t	NOUN
ejpam-3273	158	15	=	=	SYM
ejpam-3273	158	16	m1(λ	m1(λ	PROPN
ejpam-3273	158	17	2	2	NUM
ejpam-3273	158	18	1	1	NUM
ejpam-3273	158	19	−	−	PROPN
ejpam-3273	158	20	λ22	λ22	NOUN
ejpam-3273	158	21	)	)	PUNCT
ejpam-3273	158	22	+	+	NUM
ejpam-3273	158	23	m2jλ2	m2jλ2	X
ejpam-3273	158	24	(	(	PUNCT
ejpam-3273	158	25	λ1	λ1	ADJ
ejpam-3273	158	26	+	+	SYM
ejpam-3273	158	27	λ2	λ2	NOUN
ejpam-3273	158	28	)	)	PUNCT
ejpam-3273	158	29	.	.	PUNCT
ejpam-3273	159	1	if	if	SCONJ
ejpam-3273	159	2	t	t	PROPN
ejpam-3273	159	3	6=	6=	PROPN
ejpam-3273	159	4	0	0	NUM
ejpam-3273	159	5	,	,	PUNCT
ejpam-3273	159	6	then	then	ADV
ejpam-3273	159	7	we	we	PRON
ejpam-3273	159	8	get	get	VERB
ejpam-3273	159	9	a	a	DET
ejpam-3273	159	10	contradiction	contradiction	NOUN
ejpam-3273	159	11	(	(	PUNCT
ejpam-3273	159	12	case	case	NOUN
ejpam-3273	159	13	1	1	NUM
ejpam-3273	159	14	)	)	PUNCT
ejpam-3273	159	15	.	.	PUNCT
ejpam-3273	160	1	if	if	SCONJ
ejpam-3273	160	2	t	t	NOUN
ejpam-3273	160	3	=	=	SYM
ejpam-3273	160	4	0	0	PROPN
ejpam-3273	160	5	.	.	PUNCT
ejpam-3273	161	1	then	then	ADV
ejpam-3273	161	2	λ2λ3	λ2λ3	X
ejpam-3273	162	1	+	+	ADJ
ejpam-3273	162	2	d3λ21	d3λ21	ADJ
ejpam-3273	162	3	+	+	ADJ
ejpam-3273	162	4	dλ1λ2	dλ1λ2	PROPN
ejpam-3273	162	5	+	+	ADJ
ejpam-3273	162	6	dλ1λ3	dλ1λ3	PROPN
ejpam-3273	162	7	+	+	ADJ
ejpam-3273	162	8	d2λ1λ2	d2λ1λ2	PROPN
ejpam-3273	162	9	+	+	NOUN
ejpam-3273	162	10	d2λ1λ3	d2λ1λ3	NOUN
ejpam-3273	162	11	=	=	NOUN
ejpam-3273	162	12	0	0	NUM
ejpam-3273	162	13	.	.	PUNCT
ejpam-3273	163	1	thus	thus	ADV
ejpam-3273	163	2	γ2[γ2(λ2	γ2[γ2(λ2	X
ejpam-3273	164	1	+	+	CCONJ
ejpam-3273	164	2	λ3	λ3	PROPN
ejpam-3273	164	3	+	+	CCONJ
ejpam-3273	164	4	λ4	λ4	ADJ
ejpam-3273	164	5	)	)	PUNCT
ejpam-3273	165	1	+	+	CCONJ
ejpam-3273	165	2	λ1λ2λ3	λ1λ2λ3	NOUN
ejpam-3273	165	3	+	+	CCONJ
ejpam-3273	165	4	λ1λ2λ4	λ1λ2λ4	NOUN
ejpam-3273	165	5	+	+	X
ejpam-3273	165	6	λ1λ3λ4	λ1λ3λ4	NOUN
ejpam-3273	165	7	]	]	X
ejpam-3273	165	8	=	=	SYM
ejpam-3273	165	9	0	0	NUM
ejpam-3273	165	10	,	,	PUNCT
ejpam-3273	165	11	a	a	DET
ejpam-3273	165	12	contradiction	contradiction	NOUN
ejpam-3273	165	13	.	.	PUNCT
ejpam-3273	166	1	h.	h.	PROPN
ejpam-3273	166	2	a.	a.	PROPN
ejpam-3273	166	3	haidar	haidar	PROPN
ejpam-3273	166	4	,	,	PUNCT
ejpam-3273	166	5	m.	m.	PROPN
ejpam-3273	166	6	n.	n.	PROPN
ejpam-3273	166	7	abdulrahim	abdulrahim	PROPN
ejpam-3273	166	8	/	/	SYM
ejpam-3273	166	9	eur	eur	PROPN
ejpam-3273	166	10	.	.	PUNCT
ejpam-3273	167	1	j.	j.	PROPN
ejpam-3273	167	2	pure	pure	PROPN
ejpam-3273	167	3	appl	appl	PROPN
ejpam-3273	167	4	.	.	PROPN
ejpam-3273	167	5	math	math	PROPN
ejpam-3273	167	6	,	,	PUNCT
ejpam-3273	167	7	11	11	NUM
ejpam-3273	167	8	(	(	PUNCT
ejpam-3273	167	9	3	3	NUM
ejpam-3273	167	10	)	)	PUNCT
ejpam-3273	167	11	(	(	PUNCT
ejpam-3273	167	12	2018	2018	NUM
ejpam-3273	167	13	)	)	PUNCT
ejpam-3273	167	14	,	,	PUNCT
ejpam-3273	167	15	682	682	NUM
ejpam-3273	167	16	-	-	SYM
ejpam-3273	167	17	701	701	NUM
ejpam-3273	167	18	689	689	NUM
ejpam-3273	167	19	case	case	NOUN
ejpam-3273	167	20	4	4	NUM
ejpam-3273	167	21	:	:	PUNCT
ejpam-3273	167	22	let	let	VERB
ejpam-3273	167	23	e3	e3	VERB
ejpam-3273	167	24	∈	∈	PROPN
ejpam-3273	167	25	s	s	PART
ejpam-3273	167	26	,	,	PUNCT
ejpam-3273	167	27	it	it	PRON
ejpam-3273	167	28	follows	follow	VERB
ejpam-3273	167	29	that	that	SCONJ
ejpam-3273	167	30	a23e3	a23e3	NOUN
ejpam-3273	167	31	−	−	PROPN
ejpam-3273	167	32	λ22e3	λ22e3	ADP
ejpam-3273	167	33	∈	∈	PROPN
ejpam-3273	167	34	s.	s.	PROPN
ejpam-3273	167	35	so	so	SCONJ
ejpam-3273	167	36			ADJ
ejpam-3273	167	37	0	0	NUM
ejpam-3273	167	38	0	0	SYM
ejpam-3273	167	39	0	0	NUM
ejpam-3273	167	40	−(d2	−(d2	NUM
ejpam-3273	168	1	+	+	ADJ
ejpam-3273	168	2	d	d	X
ejpam-3273	168	3	+	+	X
ejpam-3273	168	4	1)λ1	1)λ1	NUM
ejpam-3273	168	5	(	(	PUNCT
ejpam-3273	168	6	λ1	λ1	ADJ
ejpam-3273	168	7	+	+	SYM
ejpam-3273	168	8	λ2	λ2	NOUN
ejpam-3273	168	9	)	)	PUNCT
ejpam-3273	168	10			NOUN
ejpam-3273	168	11	∈	∈	PROPN
ejpam-3273	168	12	s.	s.	PROPN
ejpam-3273	168	13	but	but	CCONJ
ejpam-3273	168	14	−(d2	−(d2	NUM
ejpam-3273	169	1	+	+	ADJ
ejpam-3273	169	2	d	d	X
ejpam-3273	169	3	+	+	X
ejpam-3273	169	4	1)λ1	1)λ1	NUM
ejpam-3273	169	5	(	(	PUNCT
ejpam-3273	169	6	λ1	λ1	ADJ
ejpam-3273	169	7	+	+	SYM
ejpam-3273	169	8	λ2	λ2	NOUN
ejpam-3273	169	9	)	)	PUNCT
ejpam-3273	169	10	6=	6=	ADP
ejpam-3273	169	11	0	0	NUM
ejpam-3273	169	12	,	,	PUNCT
ejpam-3273	169	13	a	a	DET
ejpam-3273	169	14	contradiction	contradiction	NOUN
ejpam-3273	169	15	(	(	PUNCT
ejpam-3273	169	16	case	case	NOUN
ejpam-3273	169	17	3	3	NUM
ejpam-3273	169	18	)	)	PUNCT
ejpam-3273	169	19	.	.	PUNCT
ejpam-3273	170	1	case	case	NOUN
ejpam-3273	170	2	5	5	NUM
ejpam-3273	170	3	:	:	PUNCT
ejpam-3273	170	4	let	let	VERB
ejpam-3273	170	5	e1	e1	NOUN
ejpam-3273	170	6	+	+	CCONJ
ejpam-3273	170	7	αe2	αe2	NOUN
ejpam-3273	170	8	∈	∈	NOUN
ejpam-3273	170	9	s	s	PART
ejpam-3273	170	10	,	,	PUNCT
ejpam-3273	170	11	it	it	PRON
ejpam-3273	170	12	follows	follow	VERB
ejpam-3273	170	13	that	that	SCONJ
ejpam-3273	170	14	a12(e1	a12(e1	PROPN
ejpam-3273	170	15	+	+	CCONJ
ejpam-3273	170	16	αe2)−	αe2)−	ADJ
ejpam-3273	170	17	λ22(e1	λ22(e1	NOUN
ejpam-3273	170	18	+	+	CCONJ
ejpam-3273	170	19	αe2	αe2	NOUN
ejpam-3273	170	20	)	)	PUNCT
ejpam-3273	170	21	∈	∈	PROPN
ejpam-3273	170	22	s.	s.	PROPN
ejpam-3273	170	23	this	this	PRON
ejpam-3273	170	24	implies	imply	VERB
ejpam-3273	170	25	that	that	SCONJ
ejpam-3273	170	26			PROPN
ejpam-3273	170	27	t	t	NOUN
ejpam-3273	170	28	0	0	NUM
ejpam-3273	170	29	0	0	SYM
ejpam-3273	170	30	0	0	NUM
ejpam-3273	170	31			NOUN
ejpam-3273	170	32	∈	∈	PROPN
ejpam-3273	170	33	s	s	NOUN
ejpam-3273	170	34	,	,	PUNCT
ejpam-3273	170	35	where	where	SCONJ
ejpam-3273	170	36	t	t	NOUN
ejpam-3273	170	37	=	=	SYM
ejpam-3273	170	38	λ21	λ21	PROPN
ejpam-3273	171	1	−	−	PROPN
ejpam-3273	171	2	λ22	λ22	PROPN
ejpam-3273	171	3	+	+	X
ejpam-3273	171	4	αjλ2	αjλ2	NOUN
ejpam-3273	171	5	(	(	PUNCT
ejpam-3273	171	6	λ1	λ1	PROPN
ejpam-3273	171	7	+	+	SYM
ejpam-3273	171	8	λ2	λ2	NOUN
ejpam-3273	171	9	)	)	PUNCT
ejpam-3273	171	10	.	.	PUNCT
ejpam-3273	172	1	if	if	SCONJ
ejpam-3273	172	2	t	t	PROPN
ejpam-3273	172	3	6=	6=	NUM
ejpam-3273	172	4	0	0	NUM
ejpam-3273	172	5	,	,	PUNCT
ejpam-3273	172	6	then	then	ADV
ejpam-3273	172	7	e1	e1	VERB
ejpam-3273	172	8	∈	∈	PROPN
ejpam-3273	172	9	s	s	PART
ejpam-3273	172	10	,	,	PUNCT
ejpam-3273	172	11	a	a	DET
ejpam-3273	172	12	contradiction	contradiction	NOUN
ejpam-3273	172	13	(	(	PUNCT
ejpam-3273	172	14	case	case	NOUN
ejpam-3273	172	15	1	1	NUM
ejpam-3273	172	16	)	)	PUNCT
ejpam-3273	172	17	.	.	PUNCT
ejpam-3273	173	1	if	if	SCONJ
ejpam-3273	173	2	t	t	NOUN
ejpam-3273	173	3	=	=	SYM
ejpam-3273	173	4	0	0	PUNCT
ejpam-3273	173	5	then	then	ADV
ejpam-3273	173	6	λ1	λ1	PROPN
ejpam-3273	173	7	−	−	PROPN
ejpam-3273	173	8	λ2	λ2	PROPN
ejpam-3273	173	9	+	+	CCONJ
ejpam-3273	173	10	αjλ2	αjλ2	NOUN
ejpam-3273	173	11	=	=	NOUN
ejpam-3273	174	1	0	0	X
ejpam-3273	174	2	.	.	PUNCT
ejpam-3273	175	1	it	it	PRON
ejpam-3273	175	2	follows	follow	VERB
ejpam-3273	175	3	that	that	SCONJ
ejpam-3273	175	4	jλ2e1	jλ2e1	PROPN
ejpam-3273	175	5	+	+	CCONJ
ejpam-3273	175	6	(	(	PUNCT
ejpam-3273	175	7	λ2	λ2	NOUN
ejpam-3273	175	8	−	−	NOUN
ejpam-3273	175	9	λ1)e2	λ1)e2	NOUN
ejpam-3273	175	10	∈	∈	NOUN
ejpam-3273	175	11	s.	s.	PROPN
ejpam-3273	175	12	thus	thus	ADV
ejpam-3273	175	13	a23[jλ2e1	a23[jλ2e1	X
ejpam-3273	175	14	+	+	CCONJ
ejpam-3273	175	15	(	(	PUNCT
ejpam-3273	175	16	λ2	λ2	NOUN
ejpam-3273	175	17	−	−	PROPN
ejpam-3273	175	18	λ1)e2]−	λ1)e2]−	NOUN
ejpam-3273	175	19	λ24[jλ2e1	λ24[jλ2e1	X
ejpam-3273	175	20	+	+	CCONJ
ejpam-3273	175	21	(	(	PUNCT
ejpam-3273	175	22	λ2	λ2	NOUN
ejpam-3273	175	23	−	−	PROPN
ejpam-3273	175	24	λ1)e2	λ1)e2	NOUN
ejpam-3273	175	25	]	]	X
ejpam-3273	175	26	∈	∈	PROPN
ejpam-3273	175	27	s	s	PART
ejpam-3273	175	28	.	.	PUNCT
ejpam-3273	176	1	then	then	ADV
ejpam-3273	176	2			ADJ
ejpam-3273	176	3	0	0	NUM
ejpam-3273	176	4	r2	r2	PROPN
ejpam-3273	176	5	r3	r3	PROPN
ejpam-3273	176	6	r4	r4	PROPN
ejpam-3273	176	7			NOUN
ejpam-3273	176	8	∈	∈	PROPN
ejpam-3273	176	9	s.	s.	PROPN
ejpam-3273	176	10	here	here	ADV
ejpam-3273	176	11	,	,	PUNCT
ejpam-3273	176	12	the	the	DET
ejpam-3273	176	13	constants	constant	NOUN
ejpam-3273	176	14	are	be	AUX
ejpam-3273	176	15	given	give	VERB
ejpam-3273	176	16	by	by	ADP
ejpam-3273	176	17	r2	r2	PROPN
ejpam-3273	176	18	=	=	SYM
ejpam-3273	177	1	−λ2jλ3(λ4	−λ2jλ3(λ4	PROPN
ejpam-3273	177	2	+	+	NUM
ejpam-3273	177	3	λ3	λ3	PROPN
ejpam-3273	177	4	)	)	PUNCT
ejpam-3273	178	1	+	+	CCONJ
ejpam-3273	178	2	(	(	PUNCT
ejpam-3273	178	3	λ2	λ2	NOUN
ejpam-3273	178	4	−	−	PROPN
ejpam-3273	178	5	λ1)(λ23	λ1)(λ23	PROPN
ejpam-3273	178	6	−	−	PROPN
ejpam-3273	178	7	λ24	λ24	NOUN
ejpam-3273	178	8	)	)	PUNCT
ejpam-3273	178	9	,	,	PUNCT
ejpam-3273	178	10	r3	r3	PROPN
ejpam-3273	178	11	=	=	PUNCT
ejpam-3273	178	12	λ22j	λ22j	NOUN
ejpam-3273	179	1	[	[	PUNCT
ejpam-3273	179	2	dλ4	dλ4	NOUN
ejpam-3273	179	3	+	+	CCONJ
ejpam-3273	180	1	(	(	PUNCT
ejpam-3273	180	2	d	d	X
ejpam-3273	180	3	+	+	NOUN
ejpam-3273	180	4	1)λ3	1)λ3	NUM
ejpam-3273	180	5	+	+	NOUN
ejpam-3273	180	6	dλ2]−	dλ2]−	NOUN
ejpam-3273	180	7	(	(	PUNCT
ejpam-3273	180	8	λ2	λ2	NOUN
ejpam-3273	180	9	−	−	PROPN
ejpam-3273	180	10	λ1)(d	λ1)(d	PROPN
ejpam-3273	180	11	+	+	CCONJ
ejpam-3273	180	12	1)λ2(λ3	1)λ2(λ3	NUM
ejpam-3273	180	13	+	+	NUM
ejpam-3273	180	14	λ2	λ2	NOUN
ejpam-3273	180	15	)	)	PUNCT
ejpam-3273	180	16	,	,	PUNCT
ejpam-3273	180	17	r4	r4	NOUN
ejpam-3273	180	18	=	=	PRON
ejpam-3273	180	19	λ2jl+	λ2jl+	X
ejpam-3273	180	20	(	(	PUNCT
ejpam-3273	180	21	λ2	λ2	NOUN
ejpam-3273	180	22	−	−	NOUN
ejpam-3273	180	23	λ1)k	λ1)k	NOUN
ejpam-3273	180	24	.	.	PUNCT
ejpam-3273	181	1	since	since	SCONJ
ejpam-3273	181	2	r2e2	r2e2	PROPN
ejpam-3273	181	3	+	+	PROPN
ejpam-3273	181	4	r3e3	r3e3	PROPN
ejpam-3273	181	5	+	+	ADJ
ejpam-3273	181	6	r4e4	r4e4	NOUN
ejpam-3273	181	7	∈	∈	NOUN
ejpam-3273	181	8	s	s	PART
ejpam-3273	181	9	,	,	PUNCT
ejpam-3273	181	10	it	it	PRON
ejpam-3273	181	11	follows	follow	VERB
ejpam-3273	181	12	that	that	SCONJ
ejpam-3273	181	13	a23(r2e2	a23(r2e2	PROPN
ejpam-3273	181	14	+	+	PROPN
ejpam-3273	181	15	r3e3	r3e3	PROPN
ejpam-3273	181	16	+	+	NOUN
ejpam-3273	181	17	r4e4)−	r4e4)−	NOUN
ejpam-3273	181	18	λ23(r2e2	λ23(r2e2	PROPN
ejpam-3273	181	19	+	+	NOUN
ejpam-3273	181	20	r3e3	r3e3	PROPN
ejpam-3273	181	21	+	+	ADJ
ejpam-3273	181	22	r4e4	r4e4	NOUN
ejpam-3273	181	23	)	)	PUNCT
ejpam-3273	181	24	∈	∈	PROPN
ejpam-3273	181	25	s.	s.	PROPN
ejpam-3273	181	26	thus	thus	ADV
ejpam-3273	181	27			NUM
ejpam-3273	181	28	0	0	NUM
ejpam-3273	181	29	0	0	NUM
ejpam-3273	181	30	p3	p3	PROPN
ejpam-3273	181	31	p4	p4	ADJ
ejpam-3273	181	32			NOUN
ejpam-3273	181	33	∈	∈	PROPN
ejpam-3273	181	34	s	s	NOUN
ejpam-3273	181	35	,	,	PUNCT
ejpam-3273	181	36	where	where	SCONJ
ejpam-3273	181	37	p3	p3	PROPN
ejpam-3273	181	38	=	=	PRON
ejpam-3273	181	39	−r2(d	−r2(d	PROPN
ejpam-3273	182	1	+	+	CCONJ
ejpam-3273	183	1	1)λ2	1)λ2	NUM
ejpam-3273	183	2	(	(	PUNCT
ejpam-3273	183	3	λ2	λ2	NOUN
ejpam-3273	183	4	+	+	CCONJ
ejpam-3273	183	5	λ3	λ3	PROPN
ejpam-3273	183	6	)	)	PUNCT
ejpam-3273	184	1	+	+	NOUN
ejpam-3273	184	2	r3(λ	r3(λ	PROPN
ejpam-3273	184	3	2	2	NUM
ejpam-3273	184	4	2	2	NUM
ejpam-3273	184	5	−	−	PROPN
ejpam-3273	184	6	λ23	λ23	PROPN
ejpam-3273	184	7	)	)	PUNCT
ejpam-3273	184	8	,	,	PUNCT
ejpam-3273	184	9	p4	p4	NOUN
ejpam-3273	184	10	=	=	PUNCT
ejpam-3273	184	11	r2k	r2k	PROPN
ejpam-3273	184	12	+	+	PROPN
ejpam-3273	184	13	r3	r3	PROPN
ejpam-3273	184	14	m	m	VERB
ejpam-3273	184	15	+	+	NOUN
ejpam-3273	184	16	r4(λ	r4(λ	NUM
ejpam-3273	184	17	2	2	NUM
ejpam-3273	184	18	1	1	NUM
ejpam-3273	184	19	−	−	PROPN
ejpam-3273	184	20	λ23	λ23	PROPN
ejpam-3273	184	21	)	)	PUNCT
ejpam-3273	184	22	.	.	PUNCT
ejpam-3273	185	1	h.	h.	PROPN
ejpam-3273	185	2	a.	a.	PROPN
ejpam-3273	185	3	haidar	haidar	PROPN
ejpam-3273	185	4	,	,	PUNCT
ejpam-3273	185	5	m.	m.	PROPN
ejpam-3273	185	6	n.	n.	PROPN
ejpam-3273	185	7	abdulrahim	abdulrahim	PROPN
ejpam-3273	185	8	/	/	SYM
ejpam-3273	185	9	eur	eur	PROPN
ejpam-3273	185	10	.	.	PUNCT
ejpam-3273	186	1	j.	j.	PROPN
ejpam-3273	186	2	pure	pure	PROPN
ejpam-3273	186	3	appl	appl	PROPN
ejpam-3273	186	4	.	.	PROPN
ejpam-3273	186	5	math	math	PROPN
ejpam-3273	186	6	,	,	PUNCT
ejpam-3273	186	7	11	11	NUM
ejpam-3273	186	8	(	(	PUNCT
ejpam-3273	186	9	3	3	NUM
ejpam-3273	186	10	)	)	PUNCT
ejpam-3273	186	11	(	(	PUNCT
ejpam-3273	186	12	2018	2018	NUM
ejpam-3273	186	13	)	)	PUNCT
ejpam-3273	186	14	,	,	PUNCT
ejpam-3273	186	15	682	682	NUM
ejpam-3273	186	16	-	-	SYM
ejpam-3273	186	17	701	701	NUM
ejpam-3273	186	18	690	690	NUM
ejpam-3273	186	19	on	on	ADP
ejpam-3273	186	20	the	the	DET
ejpam-3273	186	21	other	other	ADJ
ejpam-3273	186	22	hand	hand	NOUN
ejpam-3273	186	23	,	,	PUNCT
ejpam-3273	186	24	a23(p3e3	a23(p3e3	PROPN
ejpam-3273	186	25	+	+	CCONJ
ejpam-3273	187	1	p4e4)−	p4e4)−	NOUN
ejpam-3273	187	2	λ22(p3e3	λ22(p3e3	NOUN
ejpam-3273	187	3	+	+	CCONJ
ejpam-3273	187	4	p4e4	p4e4	NOUN
ejpam-3273	187	5	)	)	PUNCT
ejpam-3273	187	6	∈	∈	PROPN
ejpam-3273	187	7	s.	s.	PROPN
ejpam-3273	187	8	then	then	ADV
ejpam-3273	187	9			VERB
ejpam-3273	187	10	0	0	NUM
ejpam-3273	187	11	0	0	SYM
ejpam-3273	187	12	0	0	NUM
ejpam-3273	187	13	t1	t1	NUM
ejpam-3273	187	14			NOUN
ejpam-3273	187	15	∈	∈	PROPN
ejpam-3273	187	16	s.	s.	PROPN
ejpam-3273	187	17	here	here	ADV
ejpam-3273	187	18	,	,	PUNCT
ejpam-3273	187	19	the	the	DET
ejpam-3273	187	20	constant	constant	ADJ
ejpam-3273	187	21	t1	t1	NOUN
ejpam-3273	187	22	is	be	AUX
ejpam-3273	187	23	given	give	VERB
ejpam-3273	187	24	by	by	ADP
ejpam-3273	187	25	t1	t1	NOUN
ejpam-3273	187	26	=	=	SYM
ejpam-3273	187	27	−p3(d	−p3(d	NOUN
ejpam-3273	187	28	2	2	NUM
ejpam-3273	188	1	+	+	NOUN
ejpam-3273	188	2	d	d	NOUN
ejpam-3273	188	3	+	+	NUM
ejpam-3273	188	4	1)λ1(λ1	1)λ1(λ1	NUM
ejpam-3273	188	5	+	+	CCONJ
ejpam-3273	188	6	λ2	λ2	NOUN
ejpam-3273	188	7	)	)	PUNCT
ejpam-3273	189	1	+	+	X
ejpam-3273	189	2	p4(λ	p4(λ	NUM
ejpam-3273	189	3	2	2	NUM
ejpam-3273	189	4	1	1	NUM
ejpam-3273	189	5	−	−	PROPN
ejpam-3273	189	6	λ22	λ22	NOUN
ejpam-3273	189	7	)	)	PUNCT
ejpam-3273	189	8	.	.	PUNCT
ejpam-3273	190	1	if	if	SCONJ
ejpam-3273	190	2	t1	t1	PROPN
ejpam-3273	190	3	6=	6=	NUM
ejpam-3273	190	4	0	0	NUM
ejpam-3273	190	5	,	,	PUNCT
ejpam-3273	190	6	then	then	ADV
ejpam-3273	190	7	e4	e4	PROPN
ejpam-3273	190	8	∈	∈	PROPN
ejpam-3273	190	9	s	s	PART
ejpam-3273	190	10	,	,	PUNCT
ejpam-3273	190	11	a	a	DET
ejpam-3273	190	12	contradiction	contradiction	NOUN
ejpam-3273	190	13	(	(	PUNCT
ejpam-3273	190	14	by	by	ADP
ejpam-3273	190	15	case	case	NOUN
ejpam-3273	190	16	3	3	NUM
ejpam-3273	190	17	)	)	PUNCT
ejpam-3273	190	18	.	.	PUNCT
ejpam-3273	191	1	if	if	SCONJ
ejpam-3273	191	2	t1	t1	NOUN
ejpam-3273	191	3	=	=	NOUN
ejpam-3273	191	4	0	0	PUNCT
ejpam-3273	191	5	then	then	ADV
ejpam-3273	191	6	d2λ31	d2λ31	VERB
ejpam-3273	191	7	+	+	ADV
ejpam-3273	191	8	d2λ1λ2λ4	d2λ1λ2λ4	PROPN
ejpam-3273	191	9	+	+	PROPN
ejpam-3273	191	10	dλ21λ2	dλ21λ2	PROPN
ejpam-3273	191	11	+	+	ADJ
ejpam-3273	191	12	dλ1λ2λ3	dλ1λ2λ3	NOUN
ejpam-3273	191	13	+	+	PROPN
ejpam-3273	191	14	dλ22λ4	dλ22λ4	PROPN
ejpam-3273	191	15	+	+	ADJ
ejpam-3273	191	16	λ1λ	λ1λ	PROPN
ejpam-3273	191	17	2	2	NUM
ejpam-3273	191	18	2	2	NUM
ejpam-3273	191	19	=	=	SYM
ejpam-3273	191	20	0	0	NUM
ejpam-3273	191	21	.	.	PUNCT
ejpam-3273	192	1	hence	hence	ADV
ejpam-3273	192	2	,	,	PUNCT
ejpam-3273	192	3	λ1λ4	λ1λ4	PROPN
ejpam-3273	192	4	λ2	λ2	NOUN
ejpam-3273	192	5	(	(	PUNCT
ejpam-3273	192	6	d2λ31	d2λ31	NOUN
ejpam-3273	192	7	+	+	ADV
ejpam-3273	192	8	d2λ1λ2λ4	d2λ1λ2λ4	PROPN
ejpam-3273	192	9	+	+	PROPN
ejpam-3273	192	10	dλ21λ2	dλ21λ2	PROPN
ejpam-3273	192	11	+	+	ADJ
ejpam-3273	192	12	dλ1λ2λ3	dλ1λ2λ3	NOUN
ejpam-3273	192	13	+	+	PROPN
ejpam-3273	192	14	dλ22λ4	dλ22λ4	PROPN
ejpam-3273	192	15	+	+	ADJ
ejpam-3273	192	16	λ1λ	λ1λ	PROPN
ejpam-3273	192	17	2	2	NUM
ejpam-3273	192	18	2	2	NUM
ejpam-3273	192	19	)	)	PUNCT
ejpam-3273	192	20	=	=	SYM
ejpam-3273	192	21	0	0	X
ejpam-3273	192	22	.	.	PUNCT
ejpam-3273	193	1	this	this	PRON
ejpam-3273	193	2	implies	imply	VERB
ejpam-3273	193	3	that	that	SCONJ
ejpam-3273	193	4	(	(	PUNCT
ejpam-3273	193	5	γ2	γ2	NOUN
ejpam-3273	193	6	+	+	CCONJ
ejpam-3273	193	7	λ21)(γ	λ21)(γ	PROPN
ejpam-3273	193	8	2	2	NUM
ejpam-3273	193	9	+	+	CCONJ
ejpam-3273	193	10	λ1λ3	λ1λ3	X
ejpam-3273	193	11	+	+	NUM
ejpam-3273	193	12	λ2λ4	λ2λ4	X
ejpam-3273	193	13	)	)	PUNCT
ejpam-3273	193	14	=	=	SYM
ejpam-3273	193	15	0	0	NUM
ejpam-3273	193	16	,	,	PUNCT
ejpam-3273	193	17	a	a	DET
ejpam-3273	193	18	contradiction	contradiction	NOUN
ejpam-3273	193	19	.	.	PUNCT
ejpam-3273	194	1	case	case	NOUN
ejpam-3273	194	2	6	6	NUM
ejpam-3273	194	3	:	:	PUNCT
ejpam-3273	194	4	let	let	VERB
ejpam-3273	194	5	e1	e1	NOUN
ejpam-3273	194	6	+	+	NOUN
ejpam-3273	194	7	αe3	αe3	NOUN
ejpam-3273	194	8	∈	∈	NOUN
ejpam-3273	194	9	s	s	X
ejpam-3273	194	10	,	,	PUNCT
ejpam-3273	194	11	it	it	PRON
ejpam-3273	194	12	follows	follow	VERB
ejpam-3273	194	13	that	that	SCONJ
ejpam-3273	194	14	a12(e1	a12(e1	PROPN
ejpam-3273	194	15	+	+	CCONJ
ejpam-3273	194	16	αe3)−	αe3)−	PROPN
ejpam-3273	194	17	λ23(e1	λ23(e1	PROPN
ejpam-3273	194	18	+	+	CCONJ
ejpam-3273	194	19	αe3	αe3	X
ejpam-3273	194	20	)	)	PUNCT
ejpam-3273	194	21	∈	∈	PROPN
ejpam-3273	194	22	s.	s.	PROPN
ejpam-3273	194	23	then	then	ADV
ejpam-3273	194	24			PROPN
ejpam-3273	194	25	n1	n1	PROPN
ejpam-3273	194	26	n2	n2	NOUN
ejpam-3273	194	27	0	0	NUM
ejpam-3273	194	28	0	0	NUM
ejpam-3273	194	29			NOUN
ejpam-3273	194	30	∈	∈	PROPN
ejpam-3273	194	31	s.	s.	PROPN
ejpam-3273	194	32	here	here	ADV
ejpam-3273	194	33	,	,	PUNCT
ejpam-3273	194	34	the	the	DET
ejpam-3273	194	35	constants	constant	NOUN
ejpam-3273	194	36	are	be	AUX
ejpam-3273	194	37	given	give	VERB
ejpam-3273	194	38	by	by	ADP
ejpam-3273	194	39	n1	n1	PROPN
ejpam-3273	194	40	=	=	SYM
ejpam-3273	194	41	λ21	λ21	PROPN
ejpam-3273	194	42	−	−	PROPN
ejpam-3273	194	43	λ23	λ23	PROPN
ejpam-3273	194	44	+	+	CCONJ
ejpam-3273	194	45	αjλ3[λ1	αjλ3[λ1	NOUN
ejpam-3273	194	46	+	+	CCONJ
ejpam-3273	195	1	λ3	λ3	PROPN
ejpam-3273	195	2	+	+	CCONJ
ejpam-3273	195	3	iλ2	iλ2	PROPN
ejpam-3273	195	4	]	]	X
ejpam-3273	195	5	,	,	PUNCT
ejpam-3273	195	6	n2	n2	NOUN
ejpam-3273	195	7	=	=	PUNCT
ejpam-3273	195	8	αiλ3	αiλ3	PROPN
ejpam-3273	195	9	(	(	PUNCT
ejpam-3273	195	10	λ2	λ2	NOUN
ejpam-3273	195	11	+	+	CCONJ
ejpam-3273	195	12	λ3	λ3	PROPN
ejpam-3273	195	13	)	)	PUNCT
ejpam-3273	195	14	.	.	PUNCT
ejpam-3273	196	1	we	we	PRON
ejpam-3273	196	2	have	have	VERB
ejpam-3273	196	3	n2	n2	NOUN
ejpam-3273	196	4	6=	6=	NUM
ejpam-3273	196	5	0	0	NUM
ejpam-3273	197	1	(	(	PUNCT
ejpam-3273	197	2	i	i	PROPN
ejpam-3273	197	3	6=	6=	NUM
ejpam-3273	197	4	0	0	NUM
ejpam-3273	197	5	by	by	ADP
ejpam-3273	197	6	lemma	lemma	PROPN
ejpam-3273	197	7	10	10	NUM
ejpam-3273	197	8	)	)	PUNCT
ejpam-3273	197	9	.	.	PUNCT
ejpam-3273	198	1	if	if	SCONJ
ejpam-3273	198	2	n1	n1	PROPN
ejpam-3273	198	3	=	=	SYM
ejpam-3273	198	4	0	0	NUM
ejpam-3273	198	5	,	,	PUNCT
ejpam-3273	198	6	then	then	ADV
ejpam-3273	198	7	e2	e2	PROPN
ejpam-3273	198	8	∈	∈	PROPN
ejpam-3273	198	9	s	s	PROPN
ejpam-3273	198	10	,	,	PUNCT
ejpam-3273	198	11	a	a	DET
ejpam-3273	198	12	contradiction	contradiction	NOUN
ejpam-3273	198	13	(	(	PUNCT
ejpam-3273	198	14	case	case	NOUN
ejpam-3273	198	15	2	2	NUM
ejpam-3273	198	16	)	)	PUNCT
ejpam-3273	198	17	.	.	PUNCT
ejpam-3273	199	1	if	if	SCONJ
ejpam-3273	199	2	n1	n1	PROPN
ejpam-3273	199	3	6=	6=	NUM
ejpam-3273	199	4	0	0	NUM
ejpam-3273	199	5	,	,	PUNCT
ejpam-3273	199	6	we	we	PRON
ejpam-3273	199	7	get	get	VERB
ejpam-3273	199	8	a	a	DET
ejpam-3273	199	9	contradiction	contradiction	NOUN
ejpam-3273	199	10	(	(	PUNCT
ejpam-3273	199	11	case	case	NOUN
ejpam-3273	199	12	5	5	NUM
ejpam-3273	199	13	)	)	PUNCT
ejpam-3273	199	14	.	.	PUNCT
ejpam-3273	200	1	case	case	NOUN
ejpam-3273	200	2	7	7	NUM
ejpam-3273	200	3	:	:	PUNCT
ejpam-3273	200	4	let	let	VERB
ejpam-3273	200	5	e3	e3	NOUN
ejpam-3273	200	6	+	+	NOUN
ejpam-3273	200	7	αe4	αe4	NOUN
ejpam-3273	200	8	∈	∈	NOUN
ejpam-3273	200	9	s	s	NOUN
ejpam-3273	200	10	,	,	PUNCT
ejpam-3273	200	11	it	it	PRON
ejpam-3273	200	12	follows	follow	VERB
ejpam-3273	200	13	that	that	SCONJ
ejpam-3273	200	14	a23(e3	a23(e3	PROPN
ejpam-3273	200	15	+	+	NUM
ejpam-3273	200	16	αe4)−	αe4)−	PROPN
ejpam-3273	200	17	λ22(e3	λ22(e3	PROPN
ejpam-3273	200	18	+	+	PROPN
ejpam-3273	200	19	αe4	αe4	PROPN
ejpam-3273	200	20	)	)	PUNCT
ejpam-3273	200	21	∈	∈	PROPN
ejpam-3273	200	22	s.	s.	PROPN
ejpam-3273	201	1	so	so	SCONJ
ejpam-3273	201	2			ADJ
ejpam-3273	201	3	0	0	NUM
ejpam-3273	201	4	0	0	SYM
ejpam-3273	201	5	0	0	NUM
ejpam-3273	201	6	t	t	NOUN
ejpam-3273	201	7			NOUN
ejpam-3273	201	8	∈	∈	PROPN
ejpam-3273	201	9	s	s	PROPN
ejpam-3273	201	10	,	,	PUNCT
ejpam-3273	201	11	where	where	SCONJ
ejpam-3273	201	12	t	t	PROPN
ejpam-3273	201	13	=	=	PROPN
ejpam-3273	201	14	−d2jλ1(λ1	−d2jλ1(λ1	PROPN
ejpam-3273	201	15	+	+	CCONJ
ejpam-3273	201	16	λ2	λ2	PROPN
ejpam-3273	201	17	)	)	PUNCT
ejpam-3273	201	18	+	+	SYM
ejpam-3273	201	19	α(λ21	α(λ21	NOUN
ejpam-3273	201	20	−	−	PROPN
ejpam-3273	201	21	λ22	λ22	PROPN
ejpam-3273	201	22	)	)	PUNCT
ejpam-3273	201	23	.	.	PUNCT
ejpam-3273	202	1	if	if	SCONJ
ejpam-3273	202	2	t	t	PROPN
ejpam-3273	202	3	6=	6=	NUM
ejpam-3273	202	4	0	0	NUM
ejpam-3273	202	5	,	,	PUNCT
ejpam-3273	202	6	then	then	ADV
ejpam-3273	202	7	e4	e4	PROPN
ejpam-3273	202	8	∈	∈	PROPN
ejpam-3273	202	9	s	s	PART
ejpam-3273	202	10	,	,	PUNCT
ejpam-3273	202	11	a	a	DET
ejpam-3273	202	12	contradiction	contradiction	NOUN
ejpam-3273	202	13	.	.	PUNCT
ejpam-3273	203	1	h.	h.	PROPN
ejpam-3273	203	2	a.	a.	PROPN
ejpam-3273	203	3	haidar	haidar	PROPN
ejpam-3273	203	4	,	,	PUNCT
ejpam-3273	203	5	m.	m.	PROPN
ejpam-3273	203	6	n.	n.	PROPN
ejpam-3273	203	7	abdulrahim	abdulrahim	PROPN
ejpam-3273	203	8	/	/	SYM
ejpam-3273	203	9	eur	eur	PROPN
ejpam-3273	203	10	.	.	PUNCT
ejpam-3273	204	1	j.	j.	PROPN
ejpam-3273	204	2	pure	pure	PROPN
ejpam-3273	204	3	appl	appl	PROPN
ejpam-3273	204	4	.	.	PROPN
ejpam-3273	204	5	math	math	PROPN
ejpam-3273	204	6	,	,	PUNCT
ejpam-3273	204	7	11	11	NUM
ejpam-3273	204	8	(	(	PUNCT
ejpam-3273	204	9	3	3	NUM
ejpam-3273	204	10	)	)	PUNCT
ejpam-3273	204	11	(	(	PUNCT
ejpam-3273	204	12	2018	2018	NUM
ejpam-3273	204	13	)	)	PUNCT
ejpam-3273	204	14	,	,	PUNCT
ejpam-3273	204	15	682	682	NUM
ejpam-3273	204	16	-	-	SYM
ejpam-3273	204	17	701	701	NUM
ejpam-3273	204	18	691	691	NUM
ejpam-3273	204	19	if	if	SCONJ
ejpam-3273	204	20	t	t	NOUN
ejpam-3273	204	21	=	=	SYM
ejpam-3273	204	22	0	0	PUNCT
ejpam-3273	205	1	then	then	ADV
ejpam-3273	205	2	−d2jλ1	−d2jλ1	PROPN
ejpam-3273	205	3	+	+	CCONJ
ejpam-3273	205	4	α(λ1	α(λ1	NOUN
ejpam-3273	205	5	−	−	PROPN
ejpam-3273	205	6	λ2	λ2	NOUN
ejpam-3273	205	7	)	)	PUNCT
ejpam-3273	205	8	=	=	SYM
ejpam-3273	205	9	0	0	X
ejpam-3273	205	10	.	.	PUNCT
ejpam-3273	206	1	on	on	ADP
ejpam-3273	206	2	the	the	DET
ejpam-3273	206	3	other	other	ADJ
ejpam-3273	206	4	hand	hand	NOUN
ejpam-3273	206	5	,	,	PUNCT
ejpam-3273	206	6	we	we	PRON
ejpam-3273	206	7	have	have	VERB
ejpam-3273	206	8	(	(	PUNCT
ejpam-3273	206	9	e3	e3	VERB
ejpam-3273	206	10	+	+	PUNCT
ejpam-3273	206	11	αe4)(λ1	αe4)(λ1	NOUN
ejpam-3273	206	12	−	−	NOUN
ejpam-3273	206	13	λ2	λ2	SYM
ejpam-3273	206	14	)	)	PUNCT
ejpam-3273	206	15	∈	∈	PROPN
ejpam-3273	206	16	s.	s.	PROPN
ejpam-3273	206	17	it	it	PRON
ejpam-3273	206	18	follows	follow	VERB
ejpam-3273	206	19	that	that	SCONJ
ejpam-3273	206	20	(	(	PUNCT
ejpam-3273	206	21	λ1	λ1	ADJ
ejpam-3273	206	22	−	−	PROPN
ejpam-3273	206	23	λ2)e3	λ2)e3	NOUN
ejpam-3273	206	24	+	+	CCONJ
ejpam-3273	206	25	d2jλ1e4	d2jλ1e4	NOUN
ejpam-3273	206	26	∈	∈	NOUN
ejpam-3273	206	27	s.	s.	PROPN
ejpam-3273	206	28	hence	hence	ADV
ejpam-3273	206	29	a12[(λ1	a12[(λ1	PROPN
ejpam-3273	206	30	−	−	PROPN
ejpam-3273	206	31	λ2)e3	λ2)e3	NOUN
ejpam-3273	207	1	+	+	NOUN
ejpam-3273	207	2	d2jλ1e4]−	d2jλ1e4]−	ADJ
ejpam-3273	207	3	λ24[(λ1	λ24[(λ1	PROPN
ejpam-3273	207	4	−	−	NUM
ejpam-3273	207	5	λ2)e3	λ2)e3	NOUN
ejpam-3273	207	6	+	+	CCONJ
ejpam-3273	207	7	d2jλ1e4	d2jλ1e4	X
ejpam-3273	207	8	]	]	X
ejpam-3273	207	9	∈	∈	PROPN
ejpam-3273	207	10	s.	s.	PROPN
ejpam-3273	207	11	thus	thus	ADV
ejpam-3273	207	12			PROPN
ejpam-3273	207	13	n1	n1	PROPN
ejpam-3273	207	14	n2	n2	PROPN
ejpam-3273	207	15	n3	n3	PROPN
ejpam-3273	207	16	0	0	NUM
ejpam-3273	207	17			PROPN
ejpam-3273	207	18	∈	∈	PROPN
ejpam-3273	207	19	s.	s.	PROPN
ejpam-3273	207	20	here	here	ADV
ejpam-3273	207	21	,	,	PUNCT
ejpam-3273	207	22	the	the	DET
ejpam-3273	207	23	constants	constant	NOUN
ejpam-3273	207	24	are	be	AUX
ejpam-3273	207	25	given	give	VERB
ejpam-3273	207	26	by	by	ADP
ejpam-3273	207	27	n1	n1	PROPN
ejpam-3273	207	28	=	=	SYM
ejpam-3273	207	29	(	(	PUNCT
ejpam-3273	207	30	λ1	λ1	PROPN
ejpam-3273	207	31	−	−	PROPN
ejpam-3273	207	32	λ2)jλ3[λ1	λ2)jλ3[λ1	X
ejpam-3273	208	1	+	+	CCONJ
ejpam-3273	208	2	λ3	λ3	PROPN
ejpam-3273	208	3	+	+	CCONJ
ejpam-3273	208	4	iλ2	iλ2	X
ejpam-3273	208	5	]	]	X
ejpam-3273	209	1	+	+	PUNCT
ejpam-3273	209	2	d2jλ1λ4[λ1	d2jλ1λ4[λ1	NOUN
ejpam-3273	209	3	+	+	CCONJ
ejpam-3273	209	4	λ4	λ4	PROPN
ejpam-3273	209	5	+	+	CCONJ
ejpam-3273	209	6	j	j	PROPN
ejpam-3273	209	7	(	(	PUNCT
ejpam-3273	209	8	λ2	λ2	PROPN
ejpam-3273	209	9	+	+	CCONJ
ejpam-3273	209	10	λ3	λ3	PROPN
ejpam-3273	209	11	)	)	PUNCT
ejpam-3273	209	12	]	]	PUNCT
ejpam-3273	209	13	,	,	PUNCT
ejpam-3273	209	14	n2	n2	NOUN
ejpam-3273	209	15	=	=	SYM
ejpam-3273	209	16	(	(	PUNCT
ejpam-3273	209	17	λ1	λ1	PROPN
ejpam-3273	209	18	−	−	PROPN
ejpam-3273	209	19	λ2)iλ3	λ2)iλ3	NOUN
ejpam-3273	209	20	(	(	PUNCT
ejpam-3273	209	21	λ2	λ2	NOUN
ejpam-3273	209	22	+	+	CCONJ
ejpam-3273	209	23	λ3	λ3	PROPN
ejpam-3273	209	24	)	)	PUNCT
ejpam-3273	210	1	+	+	ADJ
ejpam-3273	210	2	d2jλ1λ4[λ2	d2jλ1λ4[λ2	PROPN
ejpam-3273	210	3	+	+	CCONJ
ejpam-3273	210	4	λ4	λ4	ADJ
ejpam-3273	210	5	+	+	CCONJ
ejpam-3273	210	6	iλ3	iλ3	NOUN
ejpam-3273	210	7	]	]	X
ejpam-3273	210	8	,	,	PUNCT
ejpam-3273	210	9	n3	n3	NOUN
ejpam-3273	210	10	=	=	SYM
ejpam-3273	210	11	(	(	PUNCT
ejpam-3273	210	12	λ1	λ1	PROPN
ejpam-3273	210	13	−	−	PROPN
ejpam-3273	210	14	λ2)(λ23	λ2)(λ23	PROPN
ejpam-3273	210	15	−	−	PROPN
ejpam-3273	210	16	λ24	λ24	PROPN
ejpam-3273	210	17	)	)	PUNCT
ejpam-3273	210	18	+	+	NOUN
ejpam-3273	210	19	d2jλ1λ4(λ3	d2jλ1λ4(λ3	NOUN
ejpam-3273	210	20	+	+	CCONJ
ejpam-3273	210	21	λ4	λ4	ADJ
ejpam-3273	210	22	)	)	PUNCT
ejpam-3273	210	23	.	.	PUNCT
ejpam-3273	211	1	also	also	ADV
ejpam-3273	211	2	,	,	PUNCT
ejpam-3273	211	3	we	we	PRON
ejpam-3273	211	4	have	have	AUX
ejpam-3273	211	5	a12(n1e1	a12(n1e1	VERB
ejpam-3273	211	6	+	+	PROPN
ejpam-3273	211	7	n2e2	n2e2	PROPN
ejpam-3273	211	8	+	+	ADJ
ejpam-3273	211	9	n3e3)−	n3e3)−	NOUN
ejpam-3273	211	10	λ23(n1e1	λ23(n1e1	PROPN
ejpam-3273	212	1	+	+	PROPN
ejpam-3273	212	2	n2e2	n2e2	PROPN
ejpam-3273	212	3	+	+	ADJ
ejpam-3273	212	4	n3e3	n3e3	NOUN
ejpam-3273	212	5	)	)	PUNCT
ejpam-3273	212	6	∈	∈	PROPN
ejpam-3273	212	7	s.	s.	PROPN
ejpam-3273	212	8	then	then	ADV
ejpam-3273	212	9			PROPN
ejpam-3273	212	10	m1	m1	PROPN
ejpam-3273	212	11	m2	m2	PROPN
ejpam-3273	212	12	0	0	NUM
ejpam-3273	212	13	0	0	NUM
ejpam-3273	212	14			NOUN
ejpam-3273	212	15	∈	∈	PROPN
ejpam-3273	212	16	s	s	NOUN
ejpam-3273	212	17	,	,	PUNCT
ejpam-3273	212	18	where	where	SCONJ
ejpam-3273	212	19	m1	m1	PROPN
ejpam-3273	212	20	=	=	PUNCT
ejpam-3273	212	21	n1(λ	n1(λ	PUNCT
ejpam-3273	212	22	2	2	NUM
ejpam-3273	212	23	1	1	NUM
ejpam-3273	212	24	−	−	PROPN
ejpam-3273	212	25	λ23	λ23	PROPN
ejpam-3273	212	26	)	)	PUNCT
ejpam-3273	213	1	+	+	ADJ
ejpam-3273	213	2	n2jλ2	n2jλ2	NOUN
ejpam-3273	213	3	(	(	PUNCT
ejpam-3273	213	4	λ1	λ1	ADJ
ejpam-3273	213	5	+	+	SYM
ejpam-3273	213	6	λ2	λ2	NOUN
ejpam-3273	213	7	)	)	PUNCT
ejpam-3273	213	8	+	+	ADJ
ejpam-3273	213	9	n3jλ3[λ1	n3jλ3[λ1	NOUN
ejpam-3273	214	1	+	+	CCONJ
ejpam-3273	214	2	λ3	λ3	PROPN
ejpam-3273	214	3	+	+	PROPN
ejpam-3273	214	4	iλ2	iλ2	PROPN
ejpam-3273	214	5	]	]	X
ejpam-3273	214	6	,	,	PUNCT
ejpam-3273	214	7	m2	m2	PROPN
ejpam-3273	214	8	=	=	PROPN
ejpam-3273	214	9	n2(λ	n2(λ	ADJ
ejpam-3273	214	10	2	2	NUM
ejpam-3273	214	11	2	2	NUM
ejpam-3273	214	12	−	−	PROPN
ejpam-3273	214	13	λ23	λ23	PROPN
ejpam-3273	214	14	)	)	PUNCT
ejpam-3273	215	1	+	+	NUM
ejpam-3273	215	2	n3iλ3	n3iλ3	NOUN
ejpam-3273	215	3	(	(	PUNCT
ejpam-3273	215	4	λ2	λ2	NOUN
ejpam-3273	215	5	+	+	CCONJ
ejpam-3273	215	6	λ3	λ3	PROPN
ejpam-3273	215	7	)	)	PUNCT
ejpam-3273	215	8	.	.	PUNCT
ejpam-3273	216	1	if	if	SCONJ
ejpam-3273	216	2	m1	m1	PROPN
ejpam-3273	216	3	6=	6=	ADP
ejpam-3273	216	4	0	0	NUM
ejpam-3273	216	5	or	or	CCONJ
ejpam-3273	216	6	m2	m2	PROPN
ejpam-3273	216	7	6=	6=	PROPN
ejpam-3273	216	8	0	0	NUM
ejpam-3273	216	9	.	.	PUNCT
ejpam-3273	217	1	then	then	ADV
ejpam-3273	217	2	we	we	PRON
ejpam-3273	217	3	get	get	VERB
ejpam-3273	217	4	a	a	DET
ejpam-3273	217	5	contradiction	contradiction	NOUN
ejpam-3273	217	6	(	(	PUNCT
ejpam-3273	217	7	case	case	NOUN
ejpam-3273	217	8	1	1	NUM
ejpam-3273	217	9	,	,	PUNCT
ejpam-3273	217	10	case	case	NOUN
ejpam-3273	217	11	2	2	NUM
ejpam-3273	217	12	,	,	PUNCT
ejpam-3273	217	13	and	and	CCONJ
ejpam-3273	217	14	case	case	NOUN
ejpam-3273	217	15	5	5	NUM
ejpam-3273	217	16	)	)	PUNCT
ejpam-3273	217	17	.	.	PUNCT
ejpam-3273	218	1	if	if	SCONJ
ejpam-3273	218	2	m1	m1	PROPN
ejpam-3273	218	3	=	=	SYM
ejpam-3273	218	4	0	0	PUNCT
ejpam-3273	218	5	and	and	CCONJ
ejpam-3273	218	6	m2	m2	PROPN
ejpam-3273	218	7	=	=	PROPN
ejpam-3273	218	8	0	0	PROPN
ejpam-3273	218	9	.	.	PUNCT
ejpam-3273	219	1	then	then	ADV
ejpam-3273	219	2	λ2λ3(λ1	λ2λ3(λ1	X
ejpam-3273	219	3	+	+	CCONJ
ejpam-3273	219	4	λ4	λ4	ADJ
ejpam-3273	219	5	)	)	PUNCT
ejpam-3273	220	1	+	+	PUNCT
ejpam-3273	220	2	d2λ1λ3λ4	d2λ1λ3λ4	PROPN
ejpam-3273	220	3	+	+	PROPN
ejpam-3273	220	4	dλ1λ2λ3	dλ1λ2λ3	PROPN
ejpam-3273	220	5	+	+	ADJ
ejpam-3273	220	6	dλ1λ2λ4	dλ1λ2λ4	PROPN
ejpam-3273	220	7	+	+	ADJ
ejpam-3273	220	8	dλ2λ3λ4	dλ2λ3λ4	NOUN
ejpam-3273	220	9	=	=	SYM
ejpam-3273	220	10	0	0	NUM
ejpam-3273	220	11	.	.	PUNCT
ejpam-3273	221	1	so	so	ADV
ejpam-3273	221	2	d−1(λ1λ2λ3	d−1(λ1λ2λ3	NOUN
ejpam-3273	221	3	+	+	CCONJ
ejpam-3273	221	4	λ2λ3λ4	λ2λ3λ4	X
ejpam-3273	221	5	+	+	CCONJ
ejpam-3273	221	6	d2λ1λ3λ4	d2λ1λ3λ4	PROPN
ejpam-3273	221	7	+	+	PROPN
ejpam-3273	221	8	dλ1λ2λ3	dλ1λ2λ3	PROPN
ejpam-3273	221	9	+	+	ADJ
ejpam-3273	221	10	dλ1λ2λ4	dλ1λ2λ4	PROPN
ejpam-3273	221	11	+	+	ADJ
ejpam-3273	221	12	dλ2λ3λ4	dλ2λ3λ4	NOUN
ejpam-3273	221	13	)	)	PUNCT
ejpam-3273	221	14	=	=	SYM
ejpam-3273	222	1	0	0	X
ejpam-3273	222	2	.	.	PUNCT
ejpam-3273	223	1	this	this	PRON
ejpam-3273	223	2	implies	imply	VERB
ejpam-3273	223	3	that	that	SCONJ
ejpam-3273	223	4	γ2(λ1	γ2(λ1	NUM
ejpam-3273	223	5	+	+	X
ejpam-3273	223	6	λ3	λ3	PROPN
ejpam-3273	223	7	+	+	CCONJ
ejpam-3273	223	8	λ4	λ4	ADJ
ejpam-3273	223	9	)	)	PUNCT
ejpam-3273	224	1	+	+	CCONJ
ejpam-3273	224	2	λ1λ2λ3	λ1λ2λ3	NOUN
ejpam-3273	224	3	+	+	CCONJ
ejpam-3273	224	4	λ1λ2λ4	λ1λ2λ4	NOUN
ejpam-3273	224	5	+	+	NUM
ejpam-3273	224	6	λ2λ3λ4	λ2λ3λ4	NOUN
ejpam-3273	224	7	=	=	SYM
ejpam-3273	224	8	0	0	PROPN
ejpam-3273	224	9	,	,	PUNCT
ejpam-3273	224	10	a	a	DET
ejpam-3273	224	11	contradiction	contradiction	NOUN
ejpam-3273	224	12	.	.	PUNCT
ejpam-3273	225	1	case	case	NOUN
ejpam-3273	225	2	8	8	NUM
ejpam-3273	225	3	:	:	PUNCT
ejpam-3273	225	4	let	let	VERB
ejpam-3273	225	5	e1	e1	NOUN
ejpam-3273	225	6	+	+	NOUN
ejpam-3273	225	7	αe4	αe4	NOUN
ejpam-3273	225	8	∈	∈	PROPN
ejpam-3273	225	9	s	s	NOUN
ejpam-3273	225	10	,	,	PUNCT
ejpam-3273	225	11	it	it	PRON
ejpam-3273	225	12	follows	follow	VERB
ejpam-3273	225	13	that	that	SCONJ
ejpam-3273	225	14	a23(e1	a23(e1	PROPN
ejpam-3273	225	15	+	+	CCONJ
ejpam-3273	225	16	αe4)−	αe4)−	NOUN
ejpam-3273	225	17	λ24(e1	λ24(e1	PROPN
ejpam-3273	225	18	+	+	NUM
ejpam-3273	225	19	αe4	αe4	NOUN
ejpam-3273	225	20	)	)	PUNCT
ejpam-3273	225	21	∈	∈	PROPN
ejpam-3273	225	22	s.	s.	PROPN
ejpam-3273	225	23	h.	h.	PROPN
ejpam-3273	225	24	a.	a.	PROPN
ejpam-3273	225	25	haidar	haidar	PROPN
ejpam-3273	225	26	,	,	PUNCT
ejpam-3273	225	27	m.	m.	PROPN
ejpam-3273	225	28	n.	n.	PROPN
ejpam-3273	225	29	abdulrahim	abdulrahim	PROPN
ejpam-3273	225	30	/	/	SYM
ejpam-3273	225	31	eur	eur	PROPN
ejpam-3273	225	32	.	.	PUNCT
ejpam-3273	226	1	j.	j.	PROPN
ejpam-3273	226	2	pure	pure	PROPN
ejpam-3273	226	3	appl	appl	PROPN
ejpam-3273	226	4	.	.	PROPN
ejpam-3273	226	5	math	math	PROPN
ejpam-3273	226	6	,	,	PUNCT
ejpam-3273	226	7	11	11	NUM
ejpam-3273	226	8	(	(	PUNCT
ejpam-3273	226	9	3	3	NUM
ejpam-3273	226	10	)	)	PUNCT
ejpam-3273	226	11	(	(	PUNCT
ejpam-3273	226	12	2018	2018	NUM
ejpam-3273	226	13	)	)	PUNCT
ejpam-3273	226	14	,	,	PUNCT
ejpam-3273	226	15	682	682	NUM
ejpam-3273	226	16	-	-	SYM
ejpam-3273	226	17	701	701	NUM
ejpam-3273	226	18	692	692	NUM
ejpam-3273	226	19	then	then	ADV
ejpam-3273	226	20			PROPN
ejpam-3273	226	21	0	0	NUM
ejpam-3273	226	22	r2	r2	PROPN
ejpam-3273	226	23	r3	r3	PROPN
ejpam-3273	226	24	r4	r4	PROPN
ejpam-3273	226	25			NOUN
ejpam-3273	226	26	∈	∈	PROPN
ejpam-3273	226	27	s.	s.	PROPN
ejpam-3273	226	28	here	here	ADV
ejpam-3273	226	29	,	,	PUNCT
ejpam-3273	226	30	the	the	DET
ejpam-3273	226	31	constants	constant	NOUN
ejpam-3273	226	32	are	be	AUX
ejpam-3273	226	33	given	give	VERB
ejpam-3273	226	34	by	by	ADP
ejpam-3273	226	35	r2	r2	PROPN
ejpam-3273	226	36	=	=	PROPN
ejpam-3273	226	37	−λ3	−λ3	PROPN
ejpam-3273	226	38	(	(	PUNCT
ejpam-3273	226	39	λ3	λ3	PROPN
ejpam-3273	226	40	+	+	CCONJ
ejpam-3273	226	41	λ4	λ4	PROPN
ejpam-3273	226	42	)	)	PUNCT
ejpam-3273	226	43	,	,	PUNCT
ejpam-3273	226	44	r3	r3	X
ejpam-3273	226	45	=	=	PUNCT
ejpam-3273	227	1	λ2[dλ4	λ2[dλ4	NOUN
ejpam-3273	227	2	+	+	PUNCT
ejpam-3273	227	3	(	(	PUNCT
ejpam-3273	227	4	d	d	X
ejpam-3273	227	5	+	+	SYM
ejpam-3273	227	6	1)λ3	1)λ3	NUM
ejpam-3273	227	7	+	+	NOUN
ejpam-3273	227	8	dλ2	dλ2	NOUN
ejpam-3273	227	9	]	]	X
ejpam-3273	227	10	,	,	PUNCT
ejpam-3273	227	11	r4	r4	NOUN
ejpam-3273	227	12	=	=	SYM
ejpam-3273	227	13	l+	l+	PUNCT
ejpam-3273	227	14	α(λ21	α(λ21	VERB
ejpam-3273	227	15	−	−	X
ejpam-3273	227	16	λ24	λ24	NOUN
ejpam-3273	227	17	)	)	PUNCT
ejpam-3273	227	18	.	.	PUNCT
ejpam-3273	228	1	also	also	ADV
ejpam-3273	228	2	,	,	PUNCT
ejpam-3273	228	3	we	we	PRON
ejpam-3273	228	4	have	have	VERB
ejpam-3273	228	5	a23(r2e2	a23(r2e2	PROPN
ejpam-3273	228	6	+	+	PROPN
ejpam-3273	228	7	r3e3	r3e3	PROPN
ejpam-3273	228	8	+	+	NOUN
ejpam-3273	228	9	r4e4)−	r4e4)−	NOUN
ejpam-3273	228	10	λ23(r2e2	λ23(r2e2	PROPN
ejpam-3273	229	1	+	+	NOUN
ejpam-3273	229	2	r3e3	r3e3	PROPN
ejpam-3273	229	3	+	+	ADJ
ejpam-3273	229	4	r4e4	r4e4	NOUN
ejpam-3273	229	5	)	)	PUNCT
ejpam-3273	229	6	∈	∈	PROPN
ejpam-3273	229	7	s	s	PROPN
ejpam-3273	229	8	,	,	PUNCT
ejpam-3273	229	9	then	then	ADV
ejpam-3273	229	10			ADJ
ejpam-3273	229	11	0	0	NUM
ejpam-3273	229	12	0	0	NUM
ejpam-3273	229	13	p3	p3	PROPN
ejpam-3273	229	14	p4	p4	ADJ
ejpam-3273	229	15			NOUN
ejpam-3273	229	16	∈	∈	PROPN
ejpam-3273	229	17	s.	s.	PROPN
ejpam-3273	229	18	here	here	ADV
ejpam-3273	229	19	,	,	PUNCT
ejpam-3273	229	20	p3	p3	PROPN
ejpam-3273	229	21	=	=	PUNCT
ejpam-3273	229	22	−r2(d	−r2(d	PROPN
ejpam-3273	229	23	+	+	CCONJ
ejpam-3273	230	1	1)λ2(λ2	1)λ2(λ2	NUM
ejpam-3273	230	2	+	+	CCONJ
ejpam-3273	230	3	λ3	λ3	PROPN
ejpam-3273	230	4	)	)	PUNCT
ejpam-3273	231	1	+	+	NOUN
ejpam-3273	231	2	r3(λ	r3(λ	PROPN
ejpam-3273	231	3	2	2	NUM
ejpam-3273	231	4	2	2	NUM
ejpam-3273	231	5	−	−	PROPN
ejpam-3273	231	6	λ23	λ23	PROPN
ejpam-3273	231	7	)	)	PUNCT
ejpam-3273	231	8	,	,	PUNCT
ejpam-3273	231	9	p4	p4	NOUN
ejpam-3273	231	10	=	=	PUNCT
ejpam-3273	231	11	r2k	r2k	PROPN
ejpam-3273	231	12	+	+	PROPN
ejpam-3273	231	13	r3	r3	PROPN
ejpam-3273	231	14	m	m	VERB
ejpam-3273	231	15	+	+	NOUN
ejpam-3273	231	16	r4(λ	r4(λ	NUM
ejpam-3273	231	17	2	2	NUM
ejpam-3273	231	18	1	1	NUM
ejpam-3273	231	19	−	−	PROPN
ejpam-3273	231	20	λ23	λ23	NOUN
ejpam-3273	231	21	)	)	PUNCT
ejpam-3273	231	22	.	.	PUNCT
ejpam-3273	232	1	if	if	SCONJ
ejpam-3273	232	2	p3	p3	PROPN
ejpam-3273	232	3	6=	6=	ADP
ejpam-3273	232	4	0	0	NUM
ejpam-3273	232	5	or	or	CCONJ
ejpam-3273	232	6	p4	p4	ADJ
ejpam-3273	232	7	6=	6=	ADP
ejpam-3273	232	8	0	0	NUM
ejpam-3273	232	9	,	,	PUNCT
ejpam-3273	232	10	then	then	ADV
ejpam-3273	232	11	we	we	PRON
ejpam-3273	232	12	get	get	VERB
ejpam-3273	232	13	a	a	DET
ejpam-3273	232	14	contradiction	contradiction	NOUN
ejpam-3273	232	15	(	(	PUNCT
ejpam-3273	232	16	case	case	NOUN
ejpam-3273	232	17	3	3	NUM
ejpam-3273	232	18	,	,	PUNCT
ejpam-3273	232	19	case	case	NOUN
ejpam-3273	232	20	4	4	NUM
ejpam-3273	232	21	,	,	PUNCT
ejpam-3273	232	22	and	and	CCONJ
ejpam-3273	232	23	case	case	NOUN
ejpam-3273	232	24	7	7	NUM
ejpam-3273	232	25	)	)	PUNCT
ejpam-3273	232	26	.	.	PUNCT
ejpam-3273	233	1	otherwise	otherwise	ADV
ejpam-3273	233	2	,	,	PUNCT
ejpam-3273	233	3	if	if	SCONJ
ejpam-3273	233	4	p3	p3	PROPN
ejpam-3273	233	5	=	=	NOUN
ejpam-3273	233	6	0	0	PUNCT
ejpam-3273	233	7	then	then	ADV
ejpam-3273	233	8	λ2	λ2	PRON
ejpam-3273	233	9	(	(	PUNCT
ejpam-3273	233	10	λ2	λ2	NOUN
ejpam-3273	233	11	+	+	CCONJ
ejpam-3273	233	12	λ4	λ4	ADJ
ejpam-3273	233	13	)	)	PUNCT
ejpam-3273	233	14	(	(	PUNCT
ejpam-3273	233	15	λ2	λ2	NOUN
ejpam-3273	233	16	+	+	CCONJ
ejpam-3273	233	17	λ3	λ3	PROPN
ejpam-3273	233	18	)	)	PUNCT
ejpam-3273	233	19	(	(	PUNCT
ejpam-3273	233	20	dλ2	dλ2	NOUN
ejpam-3273	233	21	+	+	CCONJ
ejpam-3273	233	22	λ3	λ3	PROPN
ejpam-3273	233	23	)	)	PUNCT
ejpam-3273	233	24	=	=	SYM
ejpam-3273	233	25	0	0	X
ejpam-3273	233	26	.	.	PUNCT
ejpam-3273	233	27	hence	hence	ADV
ejpam-3273	233	28	dλ2	dλ2	VERB
ejpam-3273	233	29	+	+	CCONJ
ejpam-3273	234	1	λ3	λ3	PROPN
ejpam-3273	235	1	=	=	SYM
ejpam-3273	235	2	0	0	PROPN
ejpam-3273	235	3	,	,	PUNCT
ejpam-3273	235	4	which	which	PRON
ejpam-3273	235	5	is	be	AUX
ejpam-3273	235	6	equivalent	equivalent	ADJ
ejpam-3273	235	7	to	to	AUX
ejpam-3273	235	8	γ2	γ2	VERB
ejpam-3273	236	1	+	+	CCONJ
ejpam-3273	236	2	λ22	λ22	NOUN
ejpam-3273	236	3	=	=	SYM
ejpam-3273	236	4	0	0	PUNCT
ejpam-3273	237	1	(	(	PUNCT
ejpam-3273	237	2	lemma	lemma	PROPN
ejpam-3273	237	3	10	10	NUM
ejpam-3273	237	4	)	)	PUNCT
ejpam-3273	237	5	,	,	PUNCT
ejpam-3273	237	6	a	a	DET
ejpam-3273	237	7	contradiction	contradiction	NOUN
ejpam-3273	237	8	.	.	PUNCT
ejpam-3273	238	1	case	case	NOUN
ejpam-3273	238	2	9	9	NUM
ejpam-3273	238	3	:	:	PUNCT
ejpam-3273	238	4	let	let	VERB
ejpam-3273	238	5	e2	e2	PROPN
ejpam-3273	238	6	+	+	CCONJ
ejpam-3273	238	7	αe3	αe3	NOUN
ejpam-3273	238	8	∈	∈	NOUN
ejpam-3273	238	9	s	s	X
ejpam-3273	238	10	,	,	PUNCT
ejpam-3273	238	11	it	it	PRON
ejpam-3273	238	12	follows	follow	VERB
ejpam-3273	238	13	that	that	SCONJ
ejpam-3273	238	14	a12(e2	a12(e2	PROPN
ejpam-3273	238	15	+	+	NUM
ejpam-3273	238	16	αe3)−	αe3)−	PROPN
ejpam-3273	238	17	λ23(e2	λ23(e2	PROPN
ejpam-3273	238	18	+	+	CCONJ
ejpam-3273	238	19	αe3	αe3	X
ejpam-3273	238	20	)	)	PUNCT
ejpam-3273	238	21	∈	∈	PROPN
ejpam-3273	238	22	s.	s.	PROPN
ejpam-3273	238	23	then	then	ADV
ejpam-3273	238	24			PROPN
ejpam-3273	238	25	n1	n1	PROPN
ejpam-3273	238	26	n2	n2	NOUN
ejpam-3273	238	27	0	0	NUM
ejpam-3273	238	28	0	0	NUM
ejpam-3273	238	29			NOUN
ejpam-3273	238	30	∈	∈	PROPN
ejpam-3273	238	31	s.	s.	PROPN
ejpam-3273	238	32	here	here	ADV
ejpam-3273	238	33	,	,	PUNCT
ejpam-3273	238	34	the	the	DET
ejpam-3273	238	35	constants	constant	NOUN
ejpam-3273	238	36	are	be	AUX
ejpam-3273	238	37	given	give	VERB
ejpam-3273	238	38	by	by	ADP
ejpam-3273	238	39	n1	n1	PROPN
ejpam-3273	238	40	=	=	SYM
ejpam-3273	238	41	jλ2	jλ2	PROPN
ejpam-3273	238	42	(	(	PUNCT
ejpam-3273	238	43	λ1	λ1	ADJ
ejpam-3273	238	44	+	+	SYM
ejpam-3273	238	45	λ2	λ2	NOUN
ejpam-3273	238	46	)	)	PUNCT
ejpam-3273	238	47	+	+	NUM
ejpam-3273	238	48	αjλ3[λ1	αjλ3[λ1	NOUN
ejpam-3273	238	49	+	+	CCONJ
ejpam-3273	238	50	λ3	λ3	PROPN
ejpam-3273	238	51	+	+	CCONJ
ejpam-3273	238	52	iλ2	iλ2	PROPN
ejpam-3273	238	53	]	]	X
ejpam-3273	238	54	,	,	PUNCT
ejpam-3273	238	55	n2	n2	NOUN
ejpam-3273	238	56	=	=	PROPN
ejpam-3273	238	57	λ22	λ22	PROPN
ejpam-3273	238	58	−	−	PROPN
ejpam-3273	238	59	λ23	λ23	NOUN
ejpam-3273	238	60	+	+	CCONJ
ejpam-3273	238	61	αiλ3	αiλ3	NOUN
ejpam-3273	238	62	(	(	PUNCT
ejpam-3273	238	63	λ2	λ2	NOUN
ejpam-3273	238	64	+	+	CCONJ
ejpam-3273	238	65	λ3	λ3	PROPN
ejpam-3273	238	66	)	)	PUNCT
ejpam-3273	238	67	.	.	PUNCT
ejpam-3273	239	1	if	if	SCONJ
ejpam-3273	239	2	n1	n1	PROPN
ejpam-3273	239	3	6=	6=	NUM
ejpam-3273	239	4	or	or	CCONJ
ejpam-3273	239	5	n2	n2	PROPN
ejpam-3273	239	6	6=	6=	NUM
ejpam-3273	239	7	0	0	NUM
ejpam-3273	239	8	,	,	PUNCT
ejpam-3273	239	9	then	then	ADV
ejpam-3273	239	10	we	we	PRON
ejpam-3273	239	11	get	get	VERB
ejpam-3273	239	12	a	a	DET
ejpam-3273	239	13	contradiction	contradiction	NOUN
ejpam-3273	239	14	(	(	PUNCT
ejpam-3273	239	15	case	case	NOUN
ejpam-3273	239	16	1	1	NUM
ejpam-3273	239	17	,	,	PUNCT
ejpam-3273	239	18	case	case	NOUN
ejpam-3273	239	19	2	2	NUM
ejpam-3273	239	20	,	,	PUNCT
ejpam-3273	239	21	and	and	CCONJ
ejpam-3273	239	22	case	case	NOUN
ejpam-3273	239	23	5	5	NUM
ejpam-3273	239	24	)	)	PUNCT
ejpam-3273	239	25	.	.	PUNCT
ejpam-3273	240	1	otherwise	otherwise	ADV
ejpam-3273	240	2	,	,	PUNCT
ejpam-3273	240	3	n2	n2	NOUN
ejpam-3273	240	4	=	=	SYM
ejpam-3273	240	5	0	0	PUNCT
ejpam-3273	241	1	and	and	CCONJ
ejpam-3273	241	2	so	so	ADV
ejpam-3273	241	3	1	1	NUM
ejpam-3273	241	4	d	d	NOUN
ejpam-3273	241	5	(	(	PUNCT
ejpam-3273	241	6	λ2	λ2	NOUN
ejpam-3273	241	7	+	+	CCONJ
ejpam-3273	241	8	λ3	λ3	PROPN
ejpam-3273	241	9	)	)	PUNCT
ejpam-3273	241	10	(	(	PUNCT
ejpam-3273	241	11	dλ2	dλ2	VERB
ejpam-3273	241	12	−dλ3	−dλ3	X
ejpam-3273	241	13	+	+	NUM
ejpam-3273	241	14	αλ3	αλ3	NOUN
ejpam-3273	241	15	+	+	CCONJ
ejpam-3273	241	16	αdλ3	αdλ3	NOUN
ejpam-3273	241	17	)	)	PUNCT
ejpam-3273	242	1	=	=	SYM
ejpam-3273	242	2	0	0	X
ejpam-3273	242	3	.	.	PUNCT
ejpam-3273	242	4	h.	h.	PROPN
ejpam-3273	242	5	a.	a.	PROPN
ejpam-3273	242	6	haidar	haidar	PROPN
ejpam-3273	242	7	,	,	PUNCT
ejpam-3273	242	8	m.	m.	PROPN
ejpam-3273	242	9	n.	n.	PROPN
ejpam-3273	242	10	abdulrahim	abdulrahim	PROPN
ejpam-3273	242	11	/	/	SYM
ejpam-3273	242	12	eur	eur	PROPN
ejpam-3273	242	13	.	.	PUNCT
ejpam-3273	243	1	j.	j.	PROPN
ejpam-3273	243	2	pure	pure	PROPN
ejpam-3273	243	3	appl	appl	PROPN
ejpam-3273	243	4	.	.	PROPN
ejpam-3273	243	5	math	math	PROPN
ejpam-3273	243	6	,	,	PUNCT
ejpam-3273	243	7	11	11	NUM
ejpam-3273	243	8	(	(	PUNCT
ejpam-3273	243	9	3	3	NUM
ejpam-3273	243	10	)	)	PUNCT
ejpam-3273	243	11	(	(	PUNCT
ejpam-3273	243	12	2018	2018	NUM
ejpam-3273	243	13	)	)	PUNCT
ejpam-3273	243	14	,	,	PUNCT
ejpam-3273	243	15	682	682	NUM
ejpam-3273	243	16	-	-	SYM
ejpam-3273	243	17	701	701	NUM
ejpam-3273	243	18	693	693	NUM
ejpam-3273	243	19	this	this	PRON
ejpam-3273	243	20	implies	imply	VERB
ejpam-3273	243	21	that	that	PRON
ejpam-3273	243	22	dλ2	dλ2	VERB
ejpam-3273	243	23	−dλ3	−dλ3	NOUN
ejpam-3273	243	24	+	+	PRON
ejpam-3273	243	25	α(λ3	α(λ3	VERB
ejpam-3273	243	26	+	+	SYM
ejpam-3273	243	27	dλ3	dλ3	NOUN
ejpam-3273	243	28	)	)	PUNCT
ejpam-3273	243	29	=	=	SYM
ejpam-3273	244	1	0	0	X
ejpam-3273	244	2	.	.	PUNCT
ejpam-3273	245	1	(	(	PUNCT
ejpam-3273	245	2	1	1	X
ejpam-3273	245	3	)	)	PUNCT
ejpam-3273	245	4	also	also	ADV
ejpam-3273	245	5	,	,	PUNCT
ejpam-3273	245	6	we	we	PRON
ejpam-3273	245	7	have	have	VERB
ejpam-3273	245	8	n1	n1	NOUN
ejpam-3273	245	9	=	=	SYM
ejpam-3273	245	10	0	0	X
ejpam-3273	245	11	.	.	PUNCT
ejpam-3273	246	1	it	it	PRON
ejpam-3273	246	2	follows	follow	VERB
ejpam-3273	246	3	that	that	SCONJ
ejpam-3273	246	4	1	1	NUM
ejpam-3273	246	5	d3d	d3d	NOUN
ejpam-3273	246	6	2j(dλ22	2j(dλ22	NOUN
ejpam-3273	246	7	+	+	NOUN
ejpam-3273	246	8	dλ1λ2	dλ1λ2	PROPN
ejpam-3273	246	9	+	+	NUM
ejpam-3273	246	10	αλ2λ3	αλ2λ3	PROPN
ejpam-3273	246	11	+	+	CCONJ
ejpam-3273	246	12	αdλ23	αdλ23	PROPN
ejpam-3273	246	13	+	+	CCONJ
ejpam-3273	246	14	αdλ1λ3	αdλ1λ3	NOUN
ejpam-3273	246	15	+	+	CCONJ
ejpam-3273	246	16	αdλ2λ3	αdλ2λ3	NOUN
ejpam-3273	246	17	)	)	PUNCT
ejpam-3273	246	18	=	=	SYM
ejpam-3273	247	1	0	0	X
ejpam-3273	247	2	.	.	PUNCT
ejpam-3273	248	1	hence	hence	ADV
ejpam-3273	248	2	dλ22	dλ22	PROPN
ejpam-3273	248	3	+	+	PROPN
ejpam-3273	248	4	dλ1λ2	dλ1λ2	PROPN
ejpam-3273	248	5	+	+	NUM
ejpam-3273	248	6	αλ2λ3	αλ2λ3	PROPN
ejpam-3273	248	7	+	+	CCONJ
ejpam-3273	249	1	αdλ23	αdλ23	PROPN
ejpam-3273	249	2	+	+	CCONJ
ejpam-3273	249	3	αdλ1λ3	αdλ1λ3	NOUN
ejpam-3273	249	4	+	+	CCONJ
ejpam-3273	249	5	αdλ2λ3	αdλ2λ3	NOUN
ejpam-3273	249	6	=	=	SYM
ejpam-3273	249	7	0	0	NUM
ejpam-3273	249	8	.	.	PUNCT
ejpam-3273	250	1	(	(	PUNCT
ejpam-3273	250	2	2	2	X
ejpam-3273	250	3	)	)	PUNCT
ejpam-3273	250	4	now	now	ADV
ejpam-3273	250	5	,	,	PUNCT
ejpam-3273	250	6	after	after	ADP
ejpam-3273	250	7	subtracting	subtract	VERB
ejpam-3273	250	8	equation	equation	NOUN
ejpam-3273	250	9	(	(	PUNCT
ejpam-3273	250	10	2	2	NUM
ejpam-3273	250	11	)	)	PUNCT
ejpam-3273	250	12	from	from	ADP
ejpam-3273	250	13	equation	equation	NOUN
ejpam-3273	250	14	λ2(1	λ2(1	PROPN
ejpam-3273	250	15	)	)	PUNCT
ejpam-3273	250	16	,	,	PUNCT
ejpam-3273	250	17	we	we	PRON
ejpam-3273	250	18	get	get	VERB
ejpam-3273	250	19	dλ2λ3	dλ2λ3	NOUN
ejpam-3273	250	20	+	+	NOUN
ejpam-3273	250	21	dλ1λ2	dλ1λ2	PROPN
ejpam-3273	251	1	+	+	CCONJ
ejpam-3273	251	2	αdλ23	αdλ23	PROPN
ejpam-3273	251	3	+	+	CCONJ
ejpam-3273	251	4	αdλ1λ3	αdλ1λ3	NOUN
ejpam-3273	251	5	=	=	SYM
ejpam-3273	251	6	0	0	X
ejpam-3273	251	7	.	.	PUNCT
ejpam-3273	252	1	this	this	PRON
ejpam-3273	252	2	implies	imply	VERB
ejpam-3273	252	3	that	that	SCONJ
ejpam-3273	252	4	d	d	X
ejpam-3273	252	5	(	(	PUNCT
ejpam-3273	252	6	λ1	λ1	PROPN
ejpam-3273	252	7	+	+	CCONJ
ejpam-3273	252	8	λ3	λ3	PROPN
ejpam-3273	252	9	)	)	PUNCT
ejpam-3273	252	10	(	(	PUNCT
ejpam-3273	252	11	λ2	λ2	NOUN
ejpam-3273	252	12	+	+	CCONJ
ejpam-3273	252	13	αλ3	αλ3	NOUN
ejpam-3273	252	14	)	)	PUNCT
ejpam-3273	252	15	=	=	SYM
ejpam-3273	252	16	0	0	X
ejpam-3273	252	17	.	.	PUNCT
ejpam-3273	253	1	thus	thus	ADV
ejpam-3273	253	2	αλ3	αλ3	X
ejpam-3273	253	3	=	=	SYM
ejpam-3273	253	4	−λ2	−λ2	NOUN
ejpam-3273	253	5	.	.	PUNCT
ejpam-3273	254	1	substituting	substitute	VERB
ejpam-3273	254	2	αλ3	αλ3	NOUN
ejpam-3273	254	3	=	=	X
ejpam-3273	254	4	−λ2	−λ2	NOUN
ejpam-3273	254	5	in	in	ADP
ejpam-3273	254	6	(	(	PUNCT
ejpam-3273	254	7	1	1	NUM
ejpam-3273	254	8	)	)	PUNCT
ejpam-3273	254	9	.	.	PUNCT
ejpam-3273	255	1	we	we	PRON
ejpam-3273	255	2	get	get	VERB
ejpam-3273	255	3	−dλ3	−dλ3	NOUN
ejpam-3273	255	4	−	−	NOUN
ejpam-3273	255	5	λ2	λ2	NOUN
ejpam-3273	255	6	=	=	SYM
ejpam-3273	255	7	0	0	NUM
ejpam-3273	255	8	,	,	PUNCT
ejpam-3273	255	9	which	which	PRON
ejpam-3273	255	10	is	be	AUX
ejpam-3273	255	11	equivalent	equivalent	ADJ
ejpam-3273	255	12	to	to	ADP
ejpam-3273	255	13	γ2	γ2	VERB
ejpam-3273	255	14	+	+	CCONJ
ejpam-3273	255	15	λ23	λ23	NOUN
ejpam-3273	256	1	=	=	SYM
ejpam-3273	256	2	0	0	PUNCT
ejpam-3273	257	1	(	(	PUNCT
ejpam-3273	257	2	lemma	lemma	PROPN
ejpam-3273	257	3	10	10	NUM
ejpam-3273	257	4	)	)	PUNCT
ejpam-3273	257	5	,	,	PUNCT
ejpam-3273	257	6	a	a	DET
ejpam-3273	257	7	contradiction	contradiction	NOUN
ejpam-3273	257	8	.	.	PUNCT
ejpam-3273	258	1	case	case	NOUN
ejpam-3273	258	2	10	10	NUM
ejpam-3273	258	3	:	:	PUNCT
ejpam-3273	258	4	let	let	VERB
ejpam-3273	258	5	e2	e2	PROPN
ejpam-3273	258	6	+	+	CCONJ
ejpam-3273	258	7	αe4	αe4	PROPN
ejpam-3273	258	8	∈	∈	PROPN
ejpam-3273	258	9	s	s	NOUN
ejpam-3273	258	10	,	,	PUNCT
ejpam-3273	258	11	it	it	PRON
ejpam-3273	258	12	follows	follow	VERB
ejpam-3273	258	13	that	that	SCONJ
ejpam-3273	258	14	a23(e2	a23(e2	PROPN
ejpam-3273	258	15	+	+	CCONJ
ejpam-3273	258	16	αe4)−	αe4)−	PROPN
ejpam-3273	258	17	λ23(e2	λ23(e2	PROPN
ejpam-3273	258	18	+	+	CCONJ
ejpam-3273	258	19	αe4	αe4	PROPN
ejpam-3273	258	20	)	)	PUNCT
ejpam-3273	258	21	∈	∈	PROPN
ejpam-3273	258	22	s.	s.	PROPN
ejpam-3273	258	23	then	then	ADV
ejpam-3273	258	24			VERB
ejpam-3273	258	25	0	0	NUM
ejpam-3273	258	26	0	0	NUM
ejpam-3273	258	27	p3	p3	PROPN
ejpam-3273	258	28	p4	p4	ADJ
ejpam-3273	258	29			NOUN
ejpam-3273	258	30	∈	∈	PROPN
ejpam-3273	258	31	s.	s.	PROPN
ejpam-3273	258	32	here	here	ADV
ejpam-3273	258	33	,	,	PUNCT
ejpam-3273	258	34	the	the	DET
ejpam-3273	258	35	constants	constant	NOUN
ejpam-3273	258	36	are	be	AUX
ejpam-3273	258	37	given	give	VERB
ejpam-3273	258	38	by	by	ADP
ejpam-3273	258	39	p3	p3	NOUN
ejpam-3273	259	1	=	=	PUNCT
ejpam-3273	259	2	−(d	−(d	NOUN
ejpam-3273	260	1	+	+	CCONJ
ejpam-3273	260	2	1)λ2	1)λ2	NUM
ejpam-3273	260	3	(	(	PUNCT
ejpam-3273	260	4	λ2	λ2	NOUN
ejpam-3273	260	5	+	+	CCONJ
ejpam-3273	260	6	λ3	λ3	PROPN
ejpam-3273	260	7	)	)	PUNCT
ejpam-3273	260	8	,	,	PUNCT
ejpam-3273	260	9	p4	p4	NOUN
ejpam-3273	260	10	=	=	PUNCT
ejpam-3273	260	11	λ1(d	λ1(d	X
ejpam-3273	261	1	2	2	NUM
ejpam-3273	261	2	+	+	NOUN
ejpam-3273	261	3	d	d	NOUN
ejpam-3273	261	4	+	+	SYM
ejpam-3273	261	5	1)[d(λ1	1)[d(λ1	NUM
ejpam-3273	261	6	+	+	NUM
ejpam-3273	261	7	λ2	λ2	PROPN
ejpam-3273	261	8	+	+	CCONJ
ejpam-3273	261	9	λ3	λ3	PROPN
ejpam-3273	261	10	)	)	PUNCT
ejpam-3273	262	1	+	+	SYM
ejpam-3273	262	2	λ2	λ2	NOUN
ejpam-3273	262	3	]	]	X
ejpam-3273	262	4	+	+	CCONJ
ejpam-3273	262	5	α(λ21	α(λ21	VERB
ejpam-3273	262	6	−	−	PROPN
ejpam-3273	262	7	λ23	λ23	PROPN
ejpam-3273	262	8	)	)	PUNCT
ejpam-3273	262	9	.	.	PUNCT
ejpam-3273	263	1	if	if	SCONJ
ejpam-3273	263	2	p3	p3	PROPN
ejpam-3273	263	3	6=	6=	ADP
ejpam-3273	263	4	0	0	NUM
ejpam-3273	263	5	or	or	CCONJ
ejpam-3273	263	6	p4	p4	ADJ
ejpam-3273	263	7	6=	6=	ADP
ejpam-3273	263	8	0	0	NUM
ejpam-3273	263	9	,	,	PUNCT
ejpam-3273	263	10	then	then	ADV
ejpam-3273	263	11	we	we	PRON
ejpam-3273	263	12	get	get	VERB
ejpam-3273	263	13	a	a	DET
ejpam-3273	263	14	contradiction	contradiction	NOUN
ejpam-3273	263	15	(	(	PUNCT
ejpam-3273	263	16	case	case	NOUN
ejpam-3273	263	17	3	3	NUM
ejpam-3273	263	18	,	,	PUNCT
ejpam-3273	263	19	case	case	NOUN
ejpam-3273	263	20	4	4	NUM
ejpam-3273	263	21	,	,	PUNCT
ejpam-3273	263	22	and	and	CCONJ
ejpam-3273	263	23	case	case	NOUN
ejpam-3273	263	24	7	7	NUM
ejpam-3273	263	25	)	)	PUNCT
ejpam-3273	263	26	.	.	PUNCT
ejpam-3273	264	1	otherwise	otherwise	ADV
ejpam-3273	264	2	,	,	PUNCT
ejpam-3273	264	3	if	if	SCONJ
ejpam-3273	264	4	p3	p3	PROPN
ejpam-3273	264	5	=	=	SYM
ejpam-3273	264	6	0	0	PUNCT
ejpam-3273	264	7	then	then	ADV
ejpam-3273	264	8	−(d	−(d	PROPN
ejpam-3273	264	9	+	+	CCONJ
ejpam-3273	265	1	1)λ2	1)λ2	NUM
ejpam-3273	265	2	(	(	PUNCT
ejpam-3273	265	3	λ2	λ2	NOUN
ejpam-3273	265	4	+	+	CCONJ
ejpam-3273	265	5	λ3	λ3	PROPN
ejpam-3273	265	6	)	)	PUNCT
ejpam-3273	265	7	=	=	SYM
ejpam-3273	265	8	0	0	NUM
ejpam-3273	265	9	,	,	PUNCT
ejpam-3273	265	10	a	a	DET
ejpam-3273	265	11	contradiction	contradiction	NOUN
ejpam-3273	265	12	(	(	PUNCT
ejpam-3273	265	13	lemma	lemma	PROPN
ejpam-3273	265	14	10	10	NUM
ejpam-3273	265	15	)	)	PUNCT
ejpam-3273	265	16	.	.	PUNCT
ejpam-3273	266	1	case	case	NOUN
ejpam-3273	266	2	11	11	NUM
ejpam-3273	266	3	:	:	PUNCT
ejpam-3273	266	4	let	let	VERB
ejpam-3273	266	5	αe1	αe1	NOUN
ejpam-3273	266	6	+	+	CCONJ
ejpam-3273	266	7	βe2	βe2	X
ejpam-3273	267	1	+	+	CCONJ
ejpam-3273	267	2	e3	e3	PRON
ejpam-3273	267	3	∈	∈	PROPN
ejpam-3273	267	4	s	s	X
ejpam-3273	267	5	,	,	PUNCT
ejpam-3273	267	6	it	it	PRON
ejpam-3273	267	7	follows	follow	VERB
ejpam-3273	267	8	that	that	SCONJ
ejpam-3273	267	9	a12(αe1	a12(αe1	PROPN
ejpam-3273	267	10	+	+	CCONJ
ejpam-3273	267	11	βe2	βe2	NOUN
ejpam-3273	267	12	+	+	CCONJ
ejpam-3273	267	13	e3)−	e3)−	NOUN
ejpam-3273	267	14	λ23(αe1	λ23(αe1	PROPN
ejpam-3273	267	15	+	+	CCONJ
ejpam-3273	267	16	βe2	βe2	X
ejpam-3273	267	17	+	+	CCONJ
ejpam-3273	267	18	e3	e3	NOUN
ejpam-3273	267	19	)	)	PUNCT
ejpam-3273	267	20	∈	∈	NOUN
ejpam-3273	267	21	s.then	s.then	ADP
ejpam-3273	267	22			ADJ
ejpam-3273	267	23	n1	n1	PROPN
ejpam-3273	267	24	n2	n2	NOUN
ejpam-3273	267	25	0	0	NUM
ejpam-3273	267	26	0	0	NUM
ejpam-3273	267	27			NOUN
ejpam-3273	267	28	∈	∈	PROPN
ejpam-3273	267	29	s.	s.	PROPN
ejpam-3273	267	30	here	here	ADV
ejpam-3273	267	31	,	,	PUNCT
ejpam-3273	267	32	the	the	DET
ejpam-3273	267	33	constants	constant	NOUN
ejpam-3273	267	34	are	be	AUX
ejpam-3273	267	35	given	give	VERB
ejpam-3273	267	36	by	by	ADP
ejpam-3273	267	37	n1	n1	PROPN
ejpam-3273	267	38	=	=	SYM
ejpam-3273	267	39	α(λ21	α(λ21	VERB
ejpam-3273	267	40	−	−	PROPN
ejpam-3273	267	41	λ23	λ23	PROPN
ejpam-3273	267	42	)	)	PUNCT
ejpam-3273	268	1	+	+	CCONJ
ejpam-3273	268	2	βjλ2	βjλ2	PROPN
ejpam-3273	268	3	(	(	PUNCT
ejpam-3273	268	4	λ1	λ1	ADJ
ejpam-3273	268	5	+	+	SYM
ejpam-3273	268	6	λ2	λ2	NOUN
ejpam-3273	268	7	)	)	PUNCT
ejpam-3273	268	8	+	+	NUM
ejpam-3273	268	9	jλ3[λ1	jλ3[λ1	X
ejpam-3273	268	10	+	+	CCONJ
ejpam-3273	268	11	λ3	λ3	PROPN
ejpam-3273	268	12	+	+	CCONJ
ejpam-3273	268	13	iλ2	iλ2	PROPN
ejpam-3273	268	14	]	]	X
ejpam-3273	268	15	,	,	PUNCT
ejpam-3273	268	16	n2	n2	NOUN
ejpam-3273	268	17	=	=	PUNCT
ejpam-3273	268	18	β(λ22	β(λ22	PROPN
ejpam-3273	268	19	−	−	PROPN
ejpam-3273	268	20	λ23	λ23	PROPN
ejpam-3273	268	21	)	)	PUNCT
ejpam-3273	268	22	+	+	CCONJ
ejpam-3273	268	23	iλ3	iλ3	NOUN
ejpam-3273	268	24	(	(	PUNCT
ejpam-3273	268	25	λ2	λ2	NOUN
ejpam-3273	268	26	+	+	CCONJ
ejpam-3273	268	27	λ3	λ3	PROPN
ejpam-3273	268	28	)	)	PUNCT
ejpam-3273	268	29	.	.	PUNCT
ejpam-3273	269	1	if	if	SCONJ
ejpam-3273	269	2	n1	n1	PROPN
ejpam-3273	269	3	6=	6=	SYM
ejpam-3273	269	4	0	0	NUM
ejpam-3273	269	5	or	or	CCONJ
ejpam-3273	269	6	n2	n2	ADJ
ejpam-3273	269	7	6=	6=	NUM
ejpam-3273	269	8	0	0	NUM
ejpam-3273	269	9	,	,	PUNCT
ejpam-3273	269	10	then	then	ADV
ejpam-3273	269	11	we	we	PRON
ejpam-3273	269	12	get	get	VERB
ejpam-3273	269	13	a	a	DET
ejpam-3273	269	14	contradiction	contradiction	NOUN
ejpam-3273	269	15	(	(	PUNCT
ejpam-3273	269	16	case	case	NOUN
ejpam-3273	269	17	1	1	NUM
ejpam-3273	269	18	,	,	PUNCT
ejpam-3273	269	19	case	case	NOUN
ejpam-3273	269	20	2	2	NUM
ejpam-3273	269	21	,	,	PUNCT
ejpam-3273	269	22	and	and	CCONJ
ejpam-3273	269	23	case	case	NOUN
ejpam-3273	269	24	5	5	NUM
ejpam-3273	269	25	)	)	PUNCT
ejpam-3273	269	26	.	.	PUNCT
ejpam-3273	270	1	otherwise	otherwise	ADV
ejpam-3273	270	2	,	,	PUNCT
ejpam-3273	270	3	n2	n2	NOUN
ejpam-3273	270	4	=	=	SYM
ejpam-3273	270	5	0	0	NUM
ejpam-3273	270	6	and	and	CCONJ
ejpam-3273	270	7	so	so	ADV
ejpam-3273	270	8	β(λ2	β(λ2	ADJ
ejpam-3273	270	9	−	−	PROPN
ejpam-3273	270	10	λ3	λ3	PROPN
ejpam-3273	270	11	)	)	PUNCT
ejpam-3273	271	1	+	+	CCONJ
ejpam-3273	271	2	iλ3	iλ3	NOUN
ejpam-3273	271	3	=	=	SYM
ejpam-3273	271	4	0	0	X
ejpam-3273	271	5	.	.	PUNCT
ejpam-3273	271	6	h.	h.	PROPN
ejpam-3273	271	7	a.	a.	PROPN
ejpam-3273	271	8	haidar	haidar	PROPN
ejpam-3273	271	9	,	,	PUNCT
ejpam-3273	271	10	m.	m.	PROPN
ejpam-3273	271	11	n.	n.	PROPN
ejpam-3273	271	12	abdulrahim	abdulrahim	PROPN
ejpam-3273	271	13	/	/	SYM
ejpam-3273	271	14	eur	eur	PROPN
ejpam-3273	271	15	.	.	PUNCT
ejpam-3273	272	1	j.	j.	PROPN
ejpam-3273	272	2	pure	pure	PROPN
ejpam-3273	272	3	appl	appl	PROPN
ejpam-3273	272	4	.	.	PROPN
ejpam-3273	272	5	math	math	PROPN
ejpam-3273	272	6	,	,	PUNCT
ejpam-3273	272	7	11	11	NUM
ejpam-3273	272	8	(	(	PUNCT
ejpam-3273	272	9	3	3	NUM
ejpam-3273	272	10	)	)	PUNCT
ejpam-3273	272	11	(	(	PUNCT
ejpam-3273	272	12	2018	2018	NUM
ejpam-3273	272	13	)	)	PUNCT
ejpam-3273	272	14	,	,	PUNCT
ejpam-3273	272	15	682	682	NUM
ejpam-3273	272	16	-	-	SYM
ejpam-3273	272	17	701	701	NUM
ejpam-3273	272	18	694	694	NUM
ejpam-3273	272	19	in	in	ADP
ejpam-3273	272	20	the	the	DET
ejpam-3273	272	21	case	case	NOUN
ejpam-3273	272	22	λ2	λ2	NOUN
ejpam-3273	272	23	−	−	PROPN
ejpam-3273	272	24	λ3	λ3	PROPN
ejpam-3273	272	25	=	=	PROPN
ejpam-3273	272	26	0	0	PROPN
ejpam-3273	272	27	,	,	PUNCT
ejpam-3273	272	28	we	we	PRON
ejpam-3273	272	29	get	get	VERB
ejpam-3273	272	30	iλ3	iλ3	NOUN
ejpam-3273	272	31	=	=	SYM
ejpam-3273	272	32	0	0	NUM
ejpam-3273	272	33	,	,	PUNCT
ejpam-3273	272	34	a	a	DET
ejpam-3273	272	35	contradiction	contradiction	NOUN
ejpam-3273	272	36	(	(	PUNCT
ejpam-3273	272	37	lemma	lemma	PROPN
ejpam-3273	272	38	10	10	NUM
ejpam-3273	272	39	)	)	PUNCT
ejpam-3273	272	40	.	.	PUNCT
ejpam-3273	273	1	hence	hence	ADV
ejpam-3273	273	2	β	β	X
ejpam-3273	273	3	=	=	SYM
ejpam-3273	273	4	iλ3	iλ3	NOUN
ejpam-3273	273	5	λ3−λ2	λ3−λ2	NOUN
ejpam-3273	273	6	.	.	PUNCT
ejpam-3273	274	1	substituting	substitute	VERB
ejpam-3273	274	2	,	,	PUNCT
ejpam-3273	274	3	β	β	X
ejpam-3273	274	4	=	=	SYM
ejpam-3273	274	5	iλ3	iλ3	NOUN
ejpam-3273	274	6	λ3−λ2	λ3−λ2	NOUN
ejpam-3273	274	7	in	in	ADP
ejpam-3273	274	8	the	the	DET
ejpam-3273	274	9	equation	equation	NOUN
ejpam-3273	274	10	(	(	PUNCT
ejpam-3273	274	11	λ3	λ3	PROPN
ejpam-3273	274	12	−	−	PROPN
ejpam-3273	274	13	λ2)n1	λ2)n1	NOUN
ejpam-3273	274	14	=	=	SYM
ejpam-3273	274	15	0	0	NUM
ejpam-3273	274	16	,	,	PUNCT
ejpam-3273	274	17	we	we	PRON
ejpam-3273	274	18	get	get	VERB
ejpam-3273	274	19	α	α	PRON
ejpam-3273	274	20	(	(	PUNCT
ejpam-3273	274	21	λ21	λ21	PROPN
ejpam-3273	274	22	−	−	PROPN
ejpam-3273	274	23	λ23	λ23	PROPN
ejpam-3273	274	24	)	)	PUNCT
ejpam-3273	274	25	(	(	PUNCT
ejpam-3273	274	26	λ3	λ3	PROPN
ejpam-3273	274	27	−	−	PROPN
ejpam-3273	274	28	λ2	λ2	PROPN
ejpam-3273	274	29	)	)	PUNCT
ejpam-3273	274	30	+	+	CCONJ
ejpam-3273	274	31	ijλ3λ2	ijλ3λ2	ADJ
ejpam-3273	274	32	(	(	PUNCT
ejpam-3273	274	33	λ1	λ1	ADJ
ejpam-3273	274	34	+	+	SYM
ejpam-3273	274	35	λ2	λ2	NOUN
ejpam-3273	274	36	)	)	PUNCT
ejpam-3273	275	1	+	+	NUM
ejpam-3273	275	2	jλ3[λ1	jλ3[λ1	X
ejpam-3273	275	3	+	+	X
ejpam-3273	275	4	λ3	λ3	PROPN
ejpam-3273	275	5	+	+	NUM
ejpam-3273	275	6	iλ2](λ3	iλ2](λ3	VERB
ejpam-3273	275	7	−	−	PROPN
ejpam-3273	275	8	λ2	λ2	NOUN
ejpam-3273	275	9	)	)	PUNCT
ejpam-3273	275	10	=	=	SYM
ejpam-3273	276	1	0	0	X
ejpam-3273	276	2	.	.	PUNCT
ejpam-3273	277	1	then	then	ADV
ejpam-3273	277	2	α	α	PROPN
ejpam-3273	277	3	(	(	PUNCT
ejpam-3273	277	4	λ21	λ21	PROPN
ejpam-3273	277	5	−	−	PROPN
ejpam-3273	277	6	λ23	λ23	PROPN
ejpam-3273	277	7	)	)	PUNCT
ejpam-3273	277	8	(	(	PUNCT
ejpam-3273	277	9	λ3	λ3	PROPN
ejpam-3273	277	10	−	−	PROPN
ejpam-3273	277	11	λ2	λ2	PROPN
ejpam-3273	277	12	)	)	PUNCT
ejpam-3273	277	13	+	+	CCONJ
ejpam-3273	278	1	ijλ2λ3(λ1	ijλ2λ3(λ1	PROPN
ejpam-3273	278	2	+	+	CCONJ
ejpam-3273	278	3	λ3	λ3	PROPN
ejpam-3273	278	4	)	)	PUNCT
ejpam-3273	278	5	+	+	NUM
ejpam-3273	278	6	λ3j	λ3j	NOUN
ejpam-3273	278	7	(	(	PUNCT
ejpam-3273	278	8	λ3	λ3	PROPN
ejpam-3273	278	9	−	−	PROPN
ejpam-3273	278	10	λ2	λ2	PROPN
ejpam-3273	278	11	)	)	PUNCT
ejpam-3273	278	12	(	(	PUNCT
ejpam-3273	278	13	λ1	λ1	PROPN
ejpam-3273	278	14	+	+	CCONJ
ejpam-3273	278	15	λ3	λ3	PROPN
ejpam-3273	278	16	)	)	PUNCT
ejpam-3273	278	17	=	=	SYM
ejpam-3273	278	18	0	0	X
ejpam-3273	278	19	.	.	PUNCT
ejpam-3273	279	1	this	this	PRON
ejpam-3273	279	2	implies	imply	VERB
ejpam-3273	279	3	that	that	SCONJ
ejpam-3273	279	4	α	α	PROPN
ejpam-3273	279	5	(	(	PUNCT
ejpam-3273	279	6	λ1	λ1	PROPN
ejpam-3273	279	7	−	−	PROPN
ejpam-3273	279	8	λ3	λ3	PROPN
ejpam-3273	279	9	)	)	PUNCT
ejpam-3273	279	10	(	(	PUNCT
ejpam-3273	279	11	λ3	λ3	PROPN
ejpam-3273	279	12	−	−	PROPN
ejpam-3273	279	13	λ2	λ2	PROPN
ejpam-3273	279	14	)	)	PUNCT
ejpam-3273	280	1	+	+	NUM
ejpam-3273	280	2	ijλ2λ3	ijλ2λ3	NOUN
ejpam-3273	280	3	+	+	CCONJ
ejpam-3273	280	4	λ3j	λ3j	PUNCT
ejpam-3273	280	5	(	(	PUNCT
ejpam-3273	280	6	λ3	λ3	PROPN
ejpam-3273	280	7	−	−	PROPN
ejpam-3273	280	8	λ2	λ2	PROPN
ejpam-3273	280	9	)	)	PUNCT
ejpam-3273	280	10	=	=	SYM
ejpam-3273	281	1	0	0	X
ejpam-3273	281	2	.	.	PUNCT
ejpam-3273	282	1	hence	hence	ADV
ejpam-3273	282	2	α	α	PROPN
ejpam-3273	282	3	(	(	PUNCT
ejpam-3273	282	4	λ1	λ1	PROPN
ejpam-3273	282	5	−	−	PROPN
ejpam-3273	282	6	λ3	λ3	PROPN
ejpam-3273	282	7	)	)	PUNCT
ejpam-3273	282	8	(	(	PUNCT
ejpam-3273	282	9	λ3	λ3	PROPN
ejpam-3273	282	10	−	−	PROPN
ejpam-3273	282	11	λ2	λ2	PROPN
ejpam-3273	282	12	)	)	PUNCT
ejpam-3273	282	13	+	+	CCONJ
ejpam-3273	283	1	λ3(1	λ3(1	ADJ
ejpam-3273	284	1	+	+	ADJ
ejpam-3273	284	2	d−1	d−1	PROPN
ejpam-3273	284	3	+	+	PROPN
ejpam-3273	284	4	d−2)(λ3	d−2)(λ3	PROPN
ejpam-3273	284	5	+	+	NOUN
ejpam-3273	284	6	d−1λ2	d−1λ2	NOUN
ejpam-3273	284	7	)	)	PUNCT
ejpam-3273	284	8	=	=	SYM
ejpam-3273	285	1	0	0	X
ejpam-3273	285	2	.	.	PUNCT
ejpam-3273	286	1	if	if	SCONJ
ejpam-3273	286	2	(	(	PUNCT
ejpam-3273	286	3	λ1	λ1	PROPN
ejpam-3273	286	4	−	−	PROPN
ejpam-3273	286	5	λ3	λ3	PROPN
ejpam-3273	286	6	)	)	PUNCT
ejpam-3273	286	7	(	(	PUNCT
ejpam-3273	286	8	λ2	λ2	NOUN
ejpam-3273	286	9	−	−	PROPN
ejpam-3273	286	10	λ3	λ3	PROPN
ejpam-3273	286	11	)	)	PUNCT
ejpam-3273	286	12	=	=	SYM
ejpam-3273	286	13	0	0	NUM
ejpam-3273	286	14	,	,	PUNCT
ejpam-3273	286	15	then	then	ADV
ejpam-3273	286	16	λ3(1	λ3(1	PROPN
ejpam-3273	286	17	+	+	PROPN
ejpam-3273	286	18	d−1	d−1	PROPN
ejpam-3273	286	19	+	+	PROPN
ejpam-3273	286	20	d−2)(λ3	d−2)(λ3	PROPN
ejpam-3273	286	21	+	+	NOUN
ejpam-3273	286	22	d−1λ2	d−1λ2	NOUN
ejpam-3273	286	23	)	)	PUNCT
ejpam-3273	286	24	=	=	SYM
ejpam-3273	287	1	0	0	X
ejpam-3273	287	2	.	.	PUNCT
ejpam-3273	288	1	so	so	ADV
ejpam-3273	288	2	λ3	λ3	PROPN
ejpam-3273	289	1	+	+	PROPN
ejpam-3273	289	2	d−1λ2	d−1λ2	VERB
ejpam-3273	289	3	=	=	SYM
ejpam-3273	289	4	0	0	NUM
ejpam-3273	289	5	,	,	PUNCT
ejpam-3273	289	6	which	which	PRON
ejpam-3273	289	7	is	be	AUX
ejpam-3273	289	8	equivalent	equivalent	ADJ
ejpam-3273	289	9	to	to	ADP
ejpam-3273	289	10	γ2	γ2	VERB
ejpam-3273	289	11	+	+	CCONJ
ejpam-3273	289	12	λ23	λ23	NOUN
ejpam-3273	289	13	=	=	SYM
ejpam-3273	289	14	0	0	PUNCT
ejpam-3273	290	1	(	(	PUNCT
ejpam-3273	290	2	lemma	lemma	PROPN
ejpam-3273	290	3	10	10	NUM
ejpam-3273	290	4	)	)	PUNCT
ejpam-3273	290	5	,	,	PUNCT
ejpam-3273	290	6	a	a	DET
ejpam-3273	290	7	contradiction	contradiction	NOUN
ejpam-3273	290	8	.	.	PUNCT
ejpam-3273	291	1	that	that	ADV
ejpam-3273	291	2	is	is	ADV
ejpam-3273	291	3	(	(	PUNCT
ejpam-3273	291	4	λ1	λ1	PROPN
ejpam-3273	291	5	−	−	PROPN
ejpam-3273	291	6	λ3	λ3	PROPN
ejpam-3273	291	7	)	)	PUNCT
ejpam-3273	291	8	(	(	PUNCT
ejpam-3273	291	9	λ2	λ2	NOUN
ejpam-3273	291	10	−	−	PROPN
ejpam-3273	291	11	λ3	λ3	PROPN
ejpam-3273	291	12	)	)	PUNCT
ejpam-3273	291	13	6=	6=	ADP
ejpam-3273	291	14	0	0	NUM
ejpam-3273	291	15	.	.	PUNCT
ejpam-3273	292	1	thus	thus	ADV
ejpam-3273	292	2	α	α	PROPN
ejpam-3273	292	3	=	=	SYM
ejpam-3273	292	4	λ3(1+d−1+d−2)(λ3+d−1λ2	λ3(1+d−1+d−2)(λ3+d−1λ2	PROPN
ejpam-3273	292	5	)	)	PUNCT
ejpam-3273	292	6	(	(	PUNCT
ejpam-3273	292	7	λ1−λ3)(λ2−λ3	λ1−λ3)(λ2−λ3	X
ejpam-3273	292	8	)	)	PUNCT
ejpam-3273	292	9	.	.	PUNCT
ejpam-3273	293	1	on	on	ADP
ejpam-3273	293	2	the	the	DET
ejpam-3273	293	3	other	other	ADJ
ejpam-3273	293	4	hand	hand	NOUN
ejpam-3273	293	5	,	,	PUNCT
ejpam-3273	293	6	a23(αe1	a23(αe1	PROPN
ejpam-3273	293	7	+	+	CCONJ
ejpam-3273	293	8	βe2	βe2	X
ejpam-3273	293	9	+	+	CCONJ
ejpam-3273	293	10	e3)−	e3)−	NOUN
ejpam-3273	293	11	λ24(αe1	λ24(αe1	X
ejpam-3273	293	12	+	+	CCONJ
ejpam-3273	293	13	βe2	βe2	NOUN
ejpam-3273	293	14	+	+	CCONJ
ejpam-3273	293	15	e3	e3	NOUN
ejpam-3273	293	16	)	)	PUNCT
ejpam-3273	293	17	∈	∈	PROPN
ejpam-3273	293	18	s.	s.	PROPN
ejpam-3273	293	19	it	it	PRON
ejpam-3273	293	20	follows	follow	VERB
ejpam-3273	293	21	that	that	SCONJ
ejpam-3273	293	22			ADJ
ejpam-3273	293	23	0	0	NUM
ejpam-3273	293	24	r2	r2	PROPN
ejpam-3273	293	25	r3	r3	PROPN
ejpam-3273	293	26	r4	r4	PROPN
ejpam-3273	293	27			NOUN
ejpam-3273	293	28	∈	∈	PROPN
ejpam-3273	293	29	s.	s.	PROPN
ejpam-3273	293	30	here	here	ADV
ejpam-3273	293	31	,	,	PUNCT
ejpam-3273	293	32	the	the	DET
ejpam-3273	293	33	constants	constant	NOUN
ejpam-3273	293	34	are	be	AUX
ejpam-3273	293	35	given	give	VERB
ejpam-3273	293	36	by	by	ADP
ejpam-3273	293	37	r2	r2	PROPN
ejpam-3273	293	38	=	=	SYM
ejpam-3273	293	39	−αλ3	−αλ3	PROPN
ejpam-3273	293	40	(	(	PUNCT
ejpam-3273	293	41	λ4	λ4	PROPN
ejpam-3273	293	42	+	+	PROPN
ejpam-3273	293	43	λ3	λ3	PROPN
ejpam-3273	293	44	)	)	PUNCT
ejpam-3273	293	45	+	+	NUM
ejpam-3273	293	46	β(λ23	β(λ23	NOUN
ejpam-3273	293	47	−	−	PROPN
ejpam-3273	293	48	λ24	λ24	PROPN
ejpam-3273	293	49	)	)	PUNCT
ejpam-3273	293	50	,	,	PUNCT
ejpam-3273	293	51	r3	r3	PROPN
ejpam-3273	293	52	=	=	SYM
ejpam-3273	293	53	αλ2[dλ4	αλ2[dλ4	NOUN
ejpam-3273	294	1	+	+	CCONJ
ejpam-3273	294	2	(	(	PUNCT
ejpam-3273	294	3	d	d	X
ejpam-3273	294	4	+	+	NOUN
ejpam-3273	294	5	1)λ3	1)λ3	NUM
ejpam-3273	294	6	+	+	NOUN
ejpam-3273	294	7	dλ2]−	dλ2]−	NOUN
ejpam-3273	294	8	β(d	β(d	PROPN
ejpam-3273	294	9	+	+	CCONJ
ejpam-3273	294	10	1)λ2	1)λ2	NUM
ejpam-3273	294	11	(	(	PUNCT
ejpam-3273	294	12	λ2	λ2	NOUN
ejpam-3273	294	13	+	+	CCONJ
ejpam-3273	294	14	λ3	λ3	PROPN
ejpam-3273	294	15	)	)	PUNCT
ejpam-3273	295	1	+	+	NUM
ejpam-3273	295	2	λ22	λ22	PROPN
ejpam-3273	295	3	−	−	PROPN
ejpam-3273	295	4	λ24	λ24	NOUN
ejpam-3273	295	5	,	,	PUNCT
ejpam-3273	295	6	r4	r4	NOUN
ejpam-3273	295	7	=	=	SYM
ejpam-3273	295	8	αl+	αl+	NOUN
ejpam-3273	295	9	βk	βk	ADP
ejpam-3273	295	10	+	+	PROPN
ejpam-3273	295	11	m.	m.	NOUN
ejpam-3273	295	12	we	we	PRON
ejpam-3273	295	13	have	have	VERB
ejpam-3273	295	14	a23(r2e2	a23(r2e2	PROPN
ejpam-3273	295	15	+	+	PROPN
ejpam-3273	295	16	r3e3	r3e3	PROPN
ejpam-3273	295	17	+	+	NOUN
ejpam-3273	295	18	r4e4)−	r4e4)−	NOUN
ejpam-3273	295	19	λ23(r2e2	λ23(r2e2	PROPN
ejpam-3273	295	20	+	+	NOUN
ejpam-3273	295	21	r3e3	r3e3	PROPN
ejpam-3273	295	22	+	+	ADJ
ejpam-3273	295	23	r4e4	r4e4	NOUN
ejpam-3273	295	24	)	)	PUNCT
ejpam-3273	295	25	∈	∈	PROPN
ejpam-3273	295	26	s.	s.	PROPN
ejpam-3273	295	27	it	it	PRON
ejpam-3273	295	28	follows	follow	VERB
ejpam-3273	295	29	that	that	SCONJ
ejpam-3273	295	30			ADJ
ejpam-3273	295	31	0	0	NUM
ejpam-3273	295	32	0	0	NUM
ejpam-3273	295	33	p3	p3	PROPN
ejpam-3273	295	34	p4	p4	ADJ
ejpam-3273	295	35			NOUN
ejpam-3273	295	36	∈	∈	PROPN
ejpam-3273	295	37	s.	s.	PROPN
ejpam-3273	295	38	here	here	ADV
ejpam-3273	295	39	,	,	PUNCT
ejpam-3273	295	40	p3	p3	PROPN
ejpam-3273	295	41	=	=	PUNCT
ejpam-3273	295	42	−r2(d	−r2(d	PROPN
ejpam-3273	295	43	+	+	CCONJ
ejpam-3273	295	44	1)λ2(λ2	1)λ2(λ2	NUM
ejpam-3273	295	45	+	+	CCONJ
ejpam-3273	295	46	λ3	λ3	PROPN
ejpam-3273	295	47	)	)	PUNCT
ejpam-3273	296	1	+	+	NOUN
ejpam-3273	296	2	r3(λ	r3(λ	PROPN
ejpam-3273	296	3	2	2	NUM
ejpam-3273	296	4	2	2	NUM
ejpam-3273	296	5	−	−	PROPN
ejpam-3273	296	6	λ23	λ23	PROPN
ejpam-3273	296	7	)	)	PUNCT
ejpam-3273	296	8	,	,	PUNCT
ejpam-3273	296	9	p4	p4	NOUN
ejpam-3273	296	10	=	=	PUNCT
ejpam-3273	296	11	r2k	r2k	PROPN
ejpam-3273	296	12	+	+	PROPN
ejpam-3273	296	13	r3	r3	PROPN
ejpam-3273	296	14	m	m	VERB
ejpam-3273	296	15	+	+	NOUN
ejpam-3273	296	16	r4(λ	r4(λ	NUM
ejpam-3273	296	17	2	2	NUM
ejpam-3273	296	18	1	1	NUM
ejpam-3273	296	19	−	−	PROPN
ejpam-3273	296	20	λ23	λ23	PROPN
ejpam-3273	296	21	)	)	PUNCT
ejpam-3273	296	22	.	.	PUNCT
ejpam-3273	297	1	h.	h.	PROPN
ejpam-3273	297	2	a.	a.	PROPN
ejpam-3273	297	3	haidar	haidar	PROPN
ejpam-3273	297	4	,	,	PUNCT
ejpam-3273	297	5	m.	m.	PROPN
ejpam-3273	297	6	n.	n.	PROPN
ejpam-3273	297	7	abdulrahim	abdulrahim	PROPN
ejpam-3273	297	8	/	/	SYM
ejpam-3273	297	9	eur	eur	PROPN
ejpam-3273	297	10	.	.	PUNCT
ejpam-3273	298	1	j.	j.	PROPN
ejpam-3273	298	2	pure	pure	PROPN
ejpam-3273	298	3	appl	appl	PROPN
ejpam-3273	298	4	.	.	PROPN
ejpam-3273	298	5	math	math	PROPN
ejpam-3273	298	6	,	,	PUNCT
ejpam-3273	298	7	11	11	NUM
ejpam-3273	298	8	(	(	PUNCT
ejpam-3273	298	9	3	3	NUM
ejpam-3273	298	10	)	)	PUNCT
ejpam-3273	298	11	(	(	PUNCT
ejpam-3273	298	12	2018	2018	NUM
ejpam-3273	298	13	)	)	PUNCT
ejpam-3273	298	14	,	,	PUNCT
ejpam-3273	298	15	682	682	NUM
ejpam-3273	298	16	-	-	SYM
ejpam-3273	298	17	701	701	NUM
ejpam-3273	298	18	695	695	NUM
ejpam-3273	298	19	if	if	SCONJ
ejpam-3273	298	20	p3	p3	PROPN
ejpam-3273	298	21	6=	6=	ADP
ejpam-3273	298	22	0	0	NUM
ejpam-3273	298	23	or	or	CCONJ
ejpam-3273	298	24	p4	p4	ADJ
ejpam-3273	298	25	6=	6=	ADP
ejpam-3273	298	26	0	0	NUM
ejpam-3273	298	27	,	,	PUNCT
ejpam-3273	298	28	then	then	ADV
ejpam-3273	298	29	we	we	PRON
ejpam-3273	298	30	get	get	VERB
ejpam-3273	298	31	a	a	DET
ejpam-3273	298	32	contradiction	contradiction	NOUN
ejpam-3273	298	33	(	(	PUNCT
ejpam-3273	298	34	case	case	NOUN
ejpam-3273	298	35	3	3	NUM
ejpam-3273	298	36	,	,	PUNCT
ejpam-3273	298	37	case	case	NOUN
ejpam-3273	298	38	4	4	NUM
ejpam-3273	298	39	,	,	PUNCT
ejpam-3273	298	40	and	and	CCONJ
ejpam-3273	298	41	case	case	NOUN
ejpam-3273	298	42	7	7	NUM
ejpam-3273	298	43	)	)	PUNCT
ejpam-3273	298	44	.	.	PUNCT
ejpam-3273	299	1	thus	thus	ADV
ejpam-3273	299	2	p3	p3	PROPN
ejpam-3273	299	3	=	=	SYM
ejpam-3273	299	4	0	0	PUNCT
ejpam-3273	299	5	and	and	CCONJ
ejpam-3273	299	6	p4	p4	ADJ
ejpam-3273	299	7	=	=	NOUN
ejpam-3273	299	8	0	0	NUM
ejpam-3273	299	9	.	.	PUNCT
ejpam-3273	300	1	but	but	CCONJ
ejpam-3273	300	2	α	α	NOUN
ejpam-3273	300	3	=	=	SYM
ejpam-3273	300	4	λ3(1+d−1+d−2)(λ3+d−1λ2	λ3(1+d−1+d−2)(λ3+d−1λ2	PROPN
ejpam-3273	300	5	)	)	PUNCT
ejpam-3273	300	6	(	(	PUNCT
ejpam-3273	300	7	λ1−λ3)(λ2−λ3	λ1−λ3)(λ2−λ3	X
ejpam-3273	300	8	)	)	PUNCT
ejpam-3273	300	9	,	,	PUNCT
ejpam-3273	300	10	and	and	CCONJ
ejpam-3273	300	11	β	β	X
ejpam-3273	300	12	=	=	SYM
ejpam-3273	300	13	(	(	PUNCT
ejpam-3273	300	14	1+d−1)λ3	1+d−1)λ3	NUM
ejpam-3273	300	15	(	(	PUNCT
ejpam-3273	300	16	λ3−λ2	λ3−λ2	NOUN
ejpam-3273	300	17	)	)	PUNCT
ejpam-3273	300	18	.	.	PUNCT
ejpam-3273	301	1	after	after	ADP
ejpam-3273	301	2	substituting	substitute	VERB
ejpam-3273	301	3	the	the	DET
ejpam-3273	301	4	obtaining	obtain	VERB
ejpam-3273	301	5	values	value	NOUN
ejpam-3273	301	6	of	of	ADP
ejpam-3273	301	7	α	α	NOUN
ejpam-3273	301	8	and	and	CCONJ
ejpam-3273	301	9	β	β	X
ejpam-3273	301	10	in	in	ADP
ejpam-3273	301	11	the	the	DET
ejpam-3273	301	12	equation	equation	NOUN
ejpam-3273	301	13	p3	p3	NOUN
ejpam-3273	301	14	=	=	SYM
ejpam-3273	301	15	0	0	NUM
ejpam-3273	301	16	,	,	PUNCT
ejpam-3273	301	17	we	we	PRON
ejpam-3273	301	18	get	get	VERB
ejpam-3273	301	19	(	(	PUNCT
ejpam-3273	301	20	λ2+λ3)(λ2+dλ3)(λ3+dλ2)(λ2+λ4	λ2+λ3)(λ2+dλ3)(λ3+dλ2)(λ2+λ4	ADV
ejpam-3273	301	21	)	)	PUNCT
ejpam-3273	301	22	d3(λ2−λ3)(λ1−λ3	d3(λ2−λ3)(λ1−λ3	X
ejpam-3273	301	23	)	)	PUNCT
ejpam-3273	301	24	(	(	PUNCT
ejpam-3273	301	25	d2(λ1λ2	d2(λ1λ2	VERB
ejpam-3273	302	1	+	+	CCONJ
ejpam-3273	302	2	λ3λ4	λ3λ4	NOUN
ejpam-3273	302	3	−	−	NOUN
ejpam-3273	302	4	λ1λ4	λ1λ4	NOUN
ejpam-3273	302	5	)	)	PUNCT
ejpam-3273	303	1	+	+	NOUN
ejpam-3273	303	2	dλ2λ3	dλ2λ3	NOUN
ejpam-3273	303	3	+	+	CCONJ
ejpam-3273	303	4	λ2λ3	λ2λ3	NOUN
ejpam-3273	303	5	)	)	PUNCT
ejpam-3273	303	6	=	=	SYM
ejpam-3273	303	7	0	0	X
ejpam-3273	303	8	.	.	PUNCT
ejpam-3273	304	1	it	it	PRON
ejpam-3273	304	2	follows	follow	VERB
ejpam-3273	304	3	that	that	SCONJ
ejpam-3273	304	4	,	,	PUNCT
ejpam-3273	304	5	either	either	CCONJ
ejpam-3273	304	6	(	(	PUNCT
ejpam-3273	304	7	λ2	λ2	NOUN
ejpam-3273	304	8	+	+	NOUN
ejpam-3273	304	9	dλ3)(λ3	dλ3)(λ3	NOUN
ejpam-3273	304	10	+	+	NOUN
ejpam-3273	304	11	dλ2	dλ2	NOUN
ejpam-3273	304	12	)	)	PUNCT
ejpam-3273	304	13	=	=	SYM
ejpam-3273	304	14	0	0	NUM
ejpam-3273	304	15	or	or	CCONJ
ejpam-3273	304	16	d2(λ1λ2	d2(λ1λ2	VERB
ejpam-3273	305	1	+	+	CCONJ
ejpam-3273	305	2	λ3λ4	λ3λ4	NOUN
ejpam-3273	305	3	−	−	NOUN
ejpam-3273	305	4	λ1λ4	λ1λ4	NOUN
ejpam-3273	305	5	)	)	PUNCT
ejpam-3273	306	1	+	+	NOUN
ejpam-3273	306	2	dλ2λ3	dλ2λ3	NOUN
ejpam-3273	306	3	+	+	CCONJ
ejpam-3273	306	4	λ2λ3	λ2λ3	X
ejpam-3273	306	5	=	=	SYM
ejpam-3273	306	6	0	0	X
ejpam-3273	306	7	.	.	PUNCT
ejpam-3273	307	1	if	if	SCONJ
ejpam-3273	307	2	(	(	PUNCT
ejpam-3273	307	3	λ2	λ2	NOUN
ejpam-3273	307	4	+	+	NUM
ejpam-3273	307	5	dλ3)(λ3	dλ3)(λ3	NOUN
ejpam-3273	307	6	+	+	CCONJ
ejpam-3273	307	7	dλ2	dλ2	NOUN
ejpam-3273	307	8	)	)	PUNCT
ejpam-3273	307	9	=	=	SYM
ejpam-3273	307	10	0	0	NUM
ejpam-3273	307	11	,	,	PUNCT
ejpam-3273	307	12	which	which	PRON
ejpam-3273	307	13	is	be	AUX
ejpam-3273	307	14	equivalent	equivalent	ADJ
ejpam-3273	307	15	to	to	ADP
ejpam-3273	307	16	(	(	PUNCT
ejpam-3273	307	17	γ2	γ2	ADJ
ejpam-3273	307	18	+	+	CCONJ
ejpam-3273	307	19	λ23)(γ	λ23)(γ	ADJ
ejpam-3273	307	20	2	2	NUM
ejpam-3273	307	21	+	+	NUM
ejpam-3273	307	22	λ22	λ22	NOUN
ejpam-3273	307	23	)	)	PUNCT
ejpam-3273	307	24	=	=	SYM
ejpam-3273	307	25	0	0	PUNCT
ejpam-3273	307	26	(	(	PUNCT
ejpam-3273	307	27	lemma	lemma	PROPN
ejpam-3273	307	28	10	10	NUM
ejpam-3273	307	29	)	)	PUNCT
ejpam-3273	307	30	,	,	PUNCT
ejpam-3273	307	31	we	we	PRON
ejpam-3273	307	32	get	get	VERB
ejpam-3273	307	33	a	a	DET
ejpam-3273	307	34	contradiction	contradiction	NOUN
ejpam-3273	307	35	,	,	PUNCT
ejpam-3273	307	36	if	if	SCONJ
ejpam-3273	307	37	d2(λ1λ2	d2(λ1λ2	VERB
ejpam-3273	307	38	+	+	CCONJ
ejpam-3273	307	39	λ3λ4	λ3λ4	NOUN
ejpam-3273	307	40	−	−	NOUN
ejpam-3273	307	41	λ1λ4	λ1λ4	NOUN
ejpam-3273	307	42	)	)	PUNCT
ejpam-3273	308	1	+	+	NOUN
ejpam-3273	308	2	dλ2λ3	dλ2λ3	NOUN
ejpam-3273	308	3	+	+	CCONJ
ejpam-3273	308	4	λ2λ3	λ2λ3	X
ejpam-3273	308	5	=	=	SYM
ejpam-3273	308	6	0	0	NUM
ejpam-3273	308	7	,	,	PUNCT
ejpam-3273	308	8	we	we	PRON
ejpam-3273	308	9	get	get	VERB
ejpam-3273	308	10	that	that	PRON
ejpam-3273	308	11	d(λ1λ4λ2λ3	d(λ1λ4λ2λ3	ADP
ejpam-3273	308	12	+	+	ADV
ejpam-3273	308	13	dλ1λ4λ1λ2	dλ1λ4λ1λ2	NOUN
ejpam-3273	308	14	+	+	NOUN
ejpam-3273	308	15	dλ1λ4λ3λ4	dλ1λ4λ3λ4	NOUN
ejpam-3273	308	16	)	)	PUNCT
ejpam-3273	308	17	=	=	SYM
ejpam-3273	308	18	0	0	NUM
ejpam-3273	308	19	,	,	PUNCT
ejpam-3273	308	20	which	which	PRON
ejpam-3273	308	21	is	be	AUX
ejpam-3273	308	22	equivalent	equivalent	ADJ
ejpam-3273	308	23	to	to	ADP
ejpam-3273	308	24	dγ2(γ2	dγ2(γ2	NOUN
ejpam-3273	308	25	+	+	PUNCT
ejpam-3273	309	1	λ1λ2	λ1λ2	PUNCT
ejpam-3273	309	2	+	+	X
ejpam-3273	309	3	λ3λ4	λ3λ4	NOUN
ejpam-3273	309	4	)	)	PUNCT
ejpam-3273	309	5	.	.	PUNCT
ejpam-3273	310	1	this	this	PRON
ejpam-3273	310	2	give	give	VERB
ejpam-3273	310	3	a	a	DET
ejpam-3273	310	4	contradiction	contradiction	NOUN
ejpam-3273	310	5	.	.	PUNCT
ejpam-3273	311	1	case	case	NOUN
ejpam-3273	311	2	12	12	NUM
ejpam-3273	311	3	:	:	PUNCT
ejpam-3273	311	4	let	let	VERB
ejpam-3273	311	5	e2	e2	PROPN
ejpam-3273	311	6	+	+	CCONJ
ejpam-3273	311	7	αe3	αe3	NOUN
ejpam-3273	311	8	+	+	CCONJ
ejpam-3273	311	9	βe4	βe4	NOUN
ejpam-3273	311	10	∈	∈	PROPN
ejpam-3273	311	11	s	s	X
ejpam-3273	311	12	,	,	PUNCT
ejpam-3273	311	13	it	it	PRON
ejpam-3273	311	14	follows	follow	VERB
ejpam-3273	311	15	that	that	SCONJ
ejpam-3273	311	16	a23(e2	a23(e2	PROPN
ejpam-3273	311	17	+	+	CCONJ
ejpam-3273	311	18	αe3	αe3	NOUN
ejpam-3273	312	1	+	+	SYM
ejpam-3273	312	2	βe4)−	βe4)−	NOUN
ejpam-3273	312	3	λ23(e2	λ23(e2	X
ejpam-3273	312	4	+	+	CCONJ
ejpam-3273	312	5	αe3	αe3	NOUN
ejpam-3273	312	6	+	+	CCONJ
ejpam-3273	312	7	βe4	βe4	X
ejpam-3273	312	8	)	)	PUNCT
ejpam-3273	312	9	∈	∈	PROPN
ejpam-3273	312	10	s.	s.	PROPN
ejpam-3273	312	11	.	.	PUNCT
ejpam-3273	313	1	then	then	ADV
ejpam-3273	313	2			ADJ
ejpam-3273	313	3	0	0	NUM
ejpam-3273	313	4	0	0	NUM
ejpam-3273	313	5	p3	p3	PROPN
ejpam-3273	313	6	p4	p4	ADJ
ejpam-3273	313	7			NOUN
ejpam-3273	313	8	∈	∈	PROPN
ejpam-3273	313	9	s.	s.	PROPN
ejpam-3273	313	10	here	here	ADV
ejpam-3273	313	11	,	,	PUNCT
ejpam-3273	313	12	the	the	DET
ejpam-3273	313	13	constants	constant	NOUN
ejpam-3273	313	14	are	be	AUX
ejpam-3273	313	15	given	give	VERB
ejpam-3273	313	16	by	by	ADP
ejpam-3273	313	17	p3	p3	NOUN
ejpam-3273	313	18	=	=	PUNCT
ejpam-3273	313	19	−(d	−(d	NOUN
ejpam-3273	314	1	+	+	CCONJ
ejpam-3273	315	1	1)λ2	1)λ2	NUM
ejpam-3273	315	2	(	(	PUNCT
ejpam-3273	315	3	λ2	λ2	NOUN
ejpam-3273	315	4	+	+	CCONJ
ejpam-3273	315	5	λ3	λ3	PROPN
ejpam-3273	315	6	)	)	PUNCT
ejpam-3273	315	7	+	+	NUM
ejpam-3273	315	8	α(λ22	α(λ22	NOUN
ejpam-3273	315	9	−	−	PROPN
ejpam-3273	315	10	λ23	λ23	PROPN
ejpam-3273	315	11	)	)	PUNCT
ejpam-3273	315	12	,	,	PUNCT
ejpam-3273	315	13	p4	p4	NOUN
ejpam-3273	315	14	=	=	SYM
ejpam-3273	315	15	k	k	PROPN
ejpam-3273	316	1	+	+	CCONJ
ejpam-3273	316	2	αm	αm	NOUN
ejpam-3273	316	3	+	+	X
ejpam-3273	316	4	β(λ21	β(λ21	VERB
ejpam-3273	316	5	−	−	PROPN
ejpam-3273	316	6	λ23	λ23	NOUN
ejpam-3273	316	7	)	)	PUNCT
ejpam-3273	316	8	.	.	PUNCT
ejpam-3273	317	1	if	if	SCONJ
ejpam-3273	317	2	p3	p3	PROPN
ejpam-3273	317	3	6=	6=	ADP
ejpam-3273	317	4	0	0	NUM
ejpam-3273	317	5	or	or	CCONJ
ejpam-3273	317	6	p4	p4	ADJ
ejpam-3273	317	7	6=	6=	ADP
ejpam-3273	317	8	0	0	NUM
ejpam-3273	317	9	,	,	PUNCT
ejpam-3273	317	10	then	then	ADV
ejpam-3273	317	11	we	we	PRON
ejpam-3273	317	12	get	get	VERB
ejpam-3273	317	13	a	a	DET
ejpam-3273	317	14	contradiction	contradiction	NOUN
ejpam-3273	317	15	(	(	PUNCT
ejpam-3273	317	16	case	case	NOUN
ejpam-3273	317	17	3	3	NUM
ejpam-3273	317	18	,	,	PUNCT
ejpam-3273	317	19	case	case	NOUN
ejpam-3273	317	20	4	4	NUM
ejpam-3273	317	21	,	,	PUNCT
ejpam-3273	317	22	and	and	CCONJ
ejpam-3273	317	23	case	case	NOUN
ejpam-3273	317	24	7	7	NUM
ejpam-3273	317	25	)	)	PUNCT
ejpam-3273	317	26	.	.	PUNCT
ejpam-3273	318	1	otherwise	otherwise	ADV
ejpam-3273	318	2	,	,	PUNCT
ejpam-3273	318	3	if	if	SCONJ
ejpam-3273	318	4	p3	p3	PROPN
ejpam-3273	318	5	=	=	SYM
ejpam-3273	318	6	0	0	PUNCT
ejpam-3273	318	7	then	then	ADV
ejpam-3273	318	8	−(d	−(d	VERB
ejpam-3273	318	9	+	+	CCONJ
ejpam-3273	319	1	1)λ2	1)λ2	NUM
ejpam-3273	319	2	+	+	NUM
ejpam-3273	319	3	α(λ2	α(λ2	NOUN
ejpam-3273	319	4	−	−	PROPN
ejpam-3273	320	1	λ3	λ3	PROPN
ejpam-3273	320	2	)	)	PUNCT
ejpam-3273	320	3	=	=	SYM
ejpam-3273	321	1	0	0	X
ejpam-3273	321	2	.	.	PUNCT
ejpam-3273	322	1	in	in	ADP
ejpam-3273	322	2	the	the	DET
ejpam-3273	322	3	case	case	NOUN
ejpam-3273	322	4	λ2	λ2	NOUN
ejpam-3273	322	5	−	−	PROPN
ejpam-3273	322	6	λ3	λ3	PROPN
ejpam-3273	322	7	=	=	PROPN
ejpam-3273	322	8	0	0	PROPN
ejpam-3273	322	9	,	,	PUNCT
ejpam-3273	322	10	we	we	PRON
ejpam-3273	322	11	get	get	VERB
ejpam-3273	322	12	−(d	−(d	NOUN
ejpam-3273	322	13	+	+	CCONJ
ejpam-3273	322	14	1)λ2	1)λ2	NUM
ejpam-3273	322	15	=	=	SYM
ejpam-3273	322	16	0	0	NUM
ejpam-3273	322	17	,	,	PUNCT
ejpam-3273	322	18	a	a	DET
ejpam-3273	322	19	contradiction	contradiction	NOUN
ejpam-3273	322	20	(	(	PUNCT
ejpam-3273	322	21	lemma	lemma	PROPN
ejpam-3273	322	22	10	10	NUM
ejpam-3273	322	23	)	)	PUNCT
ejpam-3273	322	24	.	.	PUNCT
ejpam-3273	323	1	hence	hence	ADV
ejpam-3273	323	2	α	α	PROPN
ejpam-3273	323	3	=	=	PUNCT
ejpam-3273	323	4	(	(	PUNCT
ejpam-3273	323	5	d+1)λ2	d+1)λ2	PROPN
ejpam-3273	323	6	λ2−λ3	λ2−λ3	PRON
ejpam-3273	323	7	.	.	PUNCT
ejpam-3273	324	1	h.	h.	PROPN
ejpam-3273	324	2	a.	a.	PROPN
ejpam-3273	324	3	haidar	haidar	PROPN
ejpam-3273	324	4	,	,	PUNCT
ejpam-3273	324	5	m.	m.	PROPN
ejpam-3273	324	6	n.	n.	PROPN
ejpam-3273	324	7	abdulrahim	abdulrahim	PROPN
ejpam-3273	324	8	/	/	SYM
ejpam-3273	324	9	eur	eur	PROPN
ejpam-3273	324	10	.	.	PUNCT
ejpam-3273	325	1	j.	j.	PROPN
ejpam-3273	325	2	pure	pure	PROPN
ejpam-3273	325	3	appl	appl	PROPN
ejpam-3273	325	4	.	.	PROPN
ejpam-3273	325	5	math	math	PROPN
ejpam-3273	325	6	,	,	PUNCT
ejpam-3273	325	7	11	11	NUM
ejpam-3273	325	8	(	(	PUNCT
ejpam-3273	325	9	3	3	NUM
ejpam-3273	325	10	)	)	PUNCT
ejpam-3273	325	11	(	(	PUNCT
ejpam-3273	325	12	2018	2018	NUM
ejpam-3273	325	13	)	)	PUNCT
ejpam-3273	325	14	,	,	PUNCT
ejpam-3273	325	15	682	682	NUM
ejpam-3273	325	16	-	-	SYM
ejpam-3273	325	17	701	701	NUM
ejpam-3273	325	18	696	696	NUM
ejpam-3273	325	19	substituting	substitute	VERB
ejpam-3273	325	20	α	α	NOUN
ejpam-3273	325	21	=	=	PUNCT
ejpam-3273	325	22	(	(	PUNCT
ejpam-3273	325	23	d+1)λ2	d+1)λ2	PROPN
ejpam-3273	325	24	λ2−λ3	λ2−λ3	NOUN
ejpam-3273	325	25	in	in	ADP
ejpam-3273	325	26	the	the	DET
ejpam-3273	325	27	equation	equation	NOUN
ejpam-3273	325	28	p4(λ2	p4(λ2	ADP
ejpam-3273	325	29	−	−	PROPN
ejpam-3273	325	30	λ3	λ3	PROPN
ejpam-3273	325	31	)	)	PUNCT
ejpam-3273	325	32	=	=	SYM
ejpam-3273	325	33	0	0	NUM
ejpam-3273	325	34	,	,	PUNCT
ejpam-3273	325	35	we	we	PRON
ejpam-3273	325	36	get	get	VERB
ejpam-3273	325	37	k(λ2	k(λ2	NOUN
ejpam-3273	326	1	−	−	PROPN
ejpam-3273	326	2	λ3	λ3	PROPN
ejpam-3273	326	3	)	)	PUNCT
ejpam-3273	327	1	+	+	CCONJ
ejpam-3273	327	2	(	(	PUNCT
ejpam-3273	327	3	d	d	X
ejpam-3273	327	4	+	+	NOUN
ejpam-3273	328	1	1)λ2	1)λ2	NUM
ejpam-3273	328	2	m	m	NOUN
ejpam-3273	328	3	+	+	NOUN
ejpam-3273	328	4	β(λ21	β(λ21	VERB
ejpam-3273	328	5	−	−	PROPN
ejpam-3273	328	6	λ23	λ23	NOUN
ejpam-3273	328	7	)	)	PUNCT
ejpam-3273	328	8	=	=	SYM
ejpam-3273	329	1	0	0	X
ejpam-3273	329	2	.	.	PUNCT
ejpam-3273	330	1	then	then	ADV
ejpam-3273	330	2	−λ1(d2	−λ1(d2	X
ejpam-3273	331	1	+	+	ADJ
ejpam-3273	331	2	d	d	X
ejpam-3273	331	3	+	+	NOUN
ejpam-3273	331	4	1)(λ1	1)(λ1	NUM
ejpam-3273	331	5	+	+	CCONJ
ejpam-3273	331	6	λ3)(dλ3	λ3)(dλ3	X
ejpam-3273	331	7	+	+	SYM
ejpam-3273	331	8	λ2	λ2	NOUN
ejpam-3273	331	9	)	)	PUNCT
ejpam-3273	332	1	+	+	NUM
ejpam-3273	332	2	β(λ21	β(λ21	VERB
ejpam-3273	332	3	−	−	PROPN
ejpam-3273	332	4	λ23	λ23	NOUN
ejpam-3273	332	5	)	)	PUNCT
ejpam-3273	332	6	=	=	SYM
ejpam-3273	332	7	0	0	NUM
ejpam-3273	333	1	and	and	CCONJ
ejpam-3273	333	2	so	so	ADV
ejpam-3273	333	3	−λ1(d2	−λ1(d2	INTJ
ejpam-3273	334	1	+	+	ADJ
ejpam-3273	334	2	d	d	NOUN
ejpam-3273	334	3	+	+	SYM
ejpam-3273	334	4	1)(dλ3	1)(dλ3	NUM
ejpam-3273	334	5	+	+	SYM
ejpam-3273	334	6	λ2	λ2	NOUN
ejpam-3273	334	7	)	)	PUNCT
ejpam-3273	335	1	+	+	CCONJ
ejpam-3273	335	2	β(λ1	β(λ1	NOUN
ejpam-3273	335	3	−	−	PROPN
ejpam-3273	335	4	λ3	λ3	PROPN
ejpam-3273	335	5	)	)	PUNCT
ejpam-3273	335	6	=	=	SYM
ejpam-3273	336	1	0	0	X
ejpam-3273	336	2	.	.	PUNCT
ejpam-3273	337	1	if	if	SCONJ
ejpam-3273	337	2	λ1	λ1	PROPN
ejpam-3273	337	3	−	−	PROPN
ejpam-3273	337	4	λ3	λ3	PROPN
ejpam-3273	337	5	=	=	PROPN
ejpam-3273	337	6	0	0	PROPN
ejpam-3273	337	7	,	,	PUNCT
ejpam-3273	337	8	then	then	ADV
ejpam-3273	337	9	dλ3	dλ3	PROPN
ejpam-3273	337	10	+	+	CCONJ
ejpam-3273	337	11	λ2	λ2	NOUN
ejpam-3273	337	12	=	=	SYM
ejpam-3273	337	13	0	0	NUM
ejpam-3273	337	14	,	,	PUNCT
ejpam-3273	337	15	which	which	PRON
ejpam-3273	337	16	is	be	AUX
ejpam-3273	337	17	equivalent	equivalent	ADJ
ejpam-3273	337	18	to	to	ADP
ejpam-3273	337	19	γ2	γ2	VERB
ejpam-3273	337	20	+	+	CCONJ
ejpam-3273	337	21	λ23	λ23	NOUN
ejpam-3273	337	22	=	=	SYM
ejpam-3273	337	23	0	0	PUNCT
ejpam-3273	338	1	(	(	PUNCT
ejpam-3273	338	2	lemma	lemma	PROPN
ejpam-3273	338	3	10	10	NUM
ejpam-3273	338	4	)	)	PUNCT
ejpam-3273	338	5	,	,	PUNCT
ejpam-3273	338	6	a	a	DET
ejpam-3273	338	7	contradiction	contradiction	NOUN
ejpam-3273	338	8	.	.	PUNCT
ejpam-3273	339	1	hence	hence	ADV
ejpam-3273	339	2	β	β	X
ejpam-3273	339	3	=	=	SYM
ejpam-3273	339	4	λ1(d2+d+1)(dλ3+λ2	λ1(d2+d+1)(dλ3+λ2	X
ejpam-3273	339	5	)	)	PUNCT
ejpam-3273	339	6	λ1−λ3	λ1−λ3	PUNCT
ejpam-3273	339	7	.	.	PUNCT
ejpam-3273	340	1	on	on	ADP
ejpam-3273	340	2	the	the	DET
ejpam-3273	340	3	other	other	ADJ
ejpam-3273	340	4	hand	hand	NOUN
ejpam-3273	340	5	,	,	PUNCT
ejpam-3273	340	6	a12(e2	a12(e2	PROPN
ejpam-3273	340	7	+	+	NUM
ejpam-3273	340	8	αe3	αe3	NOUN
ejpam-3273	340	9	+	+	CCONJ
ejpam-3273	340	10	βe4)−	βe4)−	NOUN
ejpam-3273	340	11	λ24(e2	λ24(e2	X
ejpam-3273	341	1	+	+	NUM
ejpam-3273	341	2	αe3	αe3	NOUN
ejpam-3273	341	3	+	+	CCONJ
ejpam-3273	341	4	βe4	βe4	X
ejpam-3273	341	5	)	)	PUNCT
ejpam-3273	341	6	∈	∈	PROPN
ejpam-3273	341	7	s.	s.	PROPN
ejpam-3273	341	8	then	then	ADV
ejpam-3273	341	9			PROPN
ejpam-3273	341	10	n1	n1	PROPN
ejpam-3273	341	11	n2	n2	PROPN
ejpam-3273	341	12	n3	n3	PROPN
ejpam-3273	341	13	0	0	NUM
ejpam-3273	341	14			PROPN
ejpam-3273	341	15	∈	∈	PROPN
ejpam-3273	341	16	s.	s.	PROPN
ejpam-3273	341	17	here	here	ADV
ejpam-3273	341	18	,	,	PUNCT
ejpam-3273	341	19	the	the	DET
ejpam-3273	341	20	constants	constant	NOUN
ejpam-3273	341	21	are	be	AUX
ejpam-3273	341	22	given	give	VERB
ejpam-3273	341	23	by	by	ADP
ejpam-3273	341	24	n1	n1	PROPN
ejpam-3273	341	25	=	=	SYM
ejpam-3273	341	26	jλ2	jλ2	PROPN
ejpam-3273	341	27	(	(	PUNCT
ejpam-3273	341	28	λ1	λ1	ADJ
ejpam-3273	341	29	+	+	SYM
ejpam-3273	341	30	λ2	λ2	NOUN
ejpam-3273	341	31	)	)	PUNCT
ejpam-3273	341	32	+	+	NUM
ejpam-3273	341	33	αjλ3[λ1	αjλ3[λ1	NOUN
ejpam-3273	341	34	+	+	CCONJ
ejpam-3273	341	35	λ3	λ3	PROPN
ejpam-3273	341	36	+	+	CCONJ
ejpam-3273	341	37	iλ2	iλ2	X
ejpam-3273	341	38	]	]	X
ejpam-3273	341	39	+	+	CCONJ
ejpam-3273	341	40	βλ4[λ1	βλ4[λ1	PUNCT
ejpam-3273	341	41	+	+	CCONJ
ejpam-3273	341	42	λ4	λ4	PROPN
ejpam-3273	341	43	+	+	CCONJ
ejpam-3273	341	44	j	j	PROPN
ejpam-3273	341	45	(	(	PUNCT
ejpam-3273	341	46	λ2	λ2	PROPN
ejpam-3273	341	47	+	+	CCONJ
ejpam-3273	341	48	λ3	λ3	PROPN
ejpam-3273	341	49	)	)	PUNCT
ejpam-3273	341	50	]	]	PUNCT
ejpam-3273	341	51	,	,	PUNCT
ejpam-3273	341	52	n2	n2	NOUN
ejpam-3273	341	53	=	=	PROPN
ejpam-3273	341	54	λ22	λ22	PROPN
ejpam-3273	341	55	−	−	PROPN
ejpam-3273	341	56	λ24	λ24	NOUN
ejpam-3273	341	57	+	+	NUM
ejpam-3273	341	58	αiλ3	αiλ3	NOUN
ejpam-3273	341	59	(	(	PUNCT
ejpam-3273	341	60	λ2	λ2	NOUN
ejpam-3273	341	61	+	+	CCONJ
ejpam-3273	341	62	λ3	λ3	PROPN
ejpam-3273	341	63	)	)	PUNCT
ejpam-3273	341	64	+	+	CCONJ
ejpam-3273	341	65	βλ4[λ2	βλ4[λ2	X
ejpam-3273	341	66	+	+	CCONJ
ejpam-3273	341	67	λ4	λ4	ADJ
ejpam-3273	341	68	+	+	CCONJ
ejpam-3273	341	69	iλ3	iλ3	NOUN
ejpam-3273	341	70	]	]	X
ejpam-3273	341	71	,	,	PUNCT
ejpam-3273	341	72	n3	n3	NOUN
ejpam-3273	341	73	=	=	PUNCT
ejpam-3273	341	74	α(λ23	α(λ23	NOUN
ejpam-3273	342	1	−	−	PROPN
ejpam-3273	342	2	λ24	λ24	NOUN
ejpam-3273	342	3	)	)	PUNCT
ejpam-3273	343	1	+	+	CCONJ
ejpam-3273	343	2	βλ4	βλ4	ADP
ejpam-3273	343	3	(	(	PUNCT
ejpam-3273	343	4	λ3	λ3	PROPN
ejpam-3273	343	5	+	+	CCONJ
ejpam-3273	343	6	λ4	λ4	ADJ
ejpam-3273	343	7	)	)	PUNCT
ejpam-3273	343	8	.	.	PUNCT
ejpam-3273	344	1	if	if	SCONJ
ejpam-3273	344	2	n1	n1	PROPN
ejpam-3273	344	3	6=	6=	SYM
ejpam-3273	344	4	0	0	NUM
ejpam-3273	344	5	or	or	CCONJ
ejpam-3273	344	6	n2	n2	ADJ
ejpam-3273	344	7	6=	6=	NUM
ejpam-3273	344	8	0	0	NUM
ejpam-3273	344	9	or	or	CCONJ
ejpam-3273	344	10	n3	n3	NOUN
ejpam-3273	344	11	6=	6=	PROPN
ejpam-3273	344	12	0	0	NUM
ejpam-3273	344	13	,	,	PUNCT
ejpam-3273	344	14	then	then	ADV
ejpam-3273	344	15	we	we	PRON
ejpam-3273	344	16	get	get	VERB
ejpam-3273	344	17	a	a	DET
ejpam-3273	344	18	contradiction	contradiction	NOUN
ejpam-3273	344	19	(	(	PUNCT
ejpam-3273	344	20	case	case	NOUN
ejpam-3273	344	21	1,case	1,case	PRON
ejpam-3273	344	22	2	2	NUM
ejpam-3273	344	23	,	,	PUNCT
ejpam-3273	344	24	case	case	NOUN
ejpam-3273	344	25	4	4	NUM
ejpam-3273	344	26	,	,	PUNCT
ejpam-3273	344	27	case	case	NOUN
ejpam-3273	344	28	5	5	NUM
ejpam-3273	344	29	,	,	PUNCT
ejpam-3273	344	30	case	case	NOUN
ejpam-3273	344	31	6	6	NUM
ejpam-3273	344	32	,	,	PUNCT
ejpam-3273	344	33	case	case	NOUN
ejpam-3273	344	34	9	9	NUM
ejpam-3273	344	35	,	,	PUNCT
ejpam-3273	344	36	and	and	CCONJ
ejpam-3273	344	37	case	case	NOUN
ejpam-3273	344	38	11	11	NUM
ejpam-3273	344	39	)	)	PUNCT
ejpam-3273	344	40	.	.	PUNCT
ejpam-3273	345	1	otherwise	otherwise	ADV
ejpam-3273	345	2	,	,	PUNCT
ejpam-3273	345	3	if	if	SCONJ
ejpam-3273	345	4	n3	n3	NOUN
ejpam-3273	345	5	=	=	NOUN
ejpam-3273	345	6	0	0	PUNCT
ejpam-3273	346	1	then	then	ADV
ejpam-3273	346	2	βλ4	βλ4	ADV
ejpam-3273	346	3	=	=	PUNCT
ejpam-3273	346	4	α(λ4	α(λ4	VERB
ejpam-3273	346	5	−	−	PROPN
ejpam-3273	346	6	λ3	λ3	PROPN
ejpam-3273	346	7	)	)	PUNCT
ejpam-3273	346	8	.	.	PUNCT
ejpam-3273	347	1	substituting	substitute	VERB
ejpam-3273	347	2	βλ4	βλ4	PUNCT
ejpam-3273	347	3	=	=	PUNCT
ejpam-3273	347	4	α(λ4	α(λ4	VERB
ejpam-3273	347	5	−	−	PROPN
ejpam-3273	347	6	λ3	λ3	PROPN
ejpam-3273	347	7	)	)	PUNCT
ejpam-3273	347	8	in	in	ADP
ejpam-3273	347	9	the	the	DET
ejpam-3273	347	10	equation	equation	NOUN
ejpam-3273	347	11	n2	n2	NOUN
ejpam-3273	347	12	=	=	PROPN
ejpam-3273	347	13	0	0	NUM
ejpam-3273	347	14	,	,	PUNCT
ejpam-3273	347	15	we	we	PRON
ejpam-3273	347	16	get	get	VERB
ejpam-3273	347	17	λ22	λ22	NOUN
ejpam-3273	347	18	−	−	NUM
ejpam-3273	347	19	λ24	λ24	NOUN
ejpam-3273	347	20	+	+	NUM
ejpam-3273	347	21	αiλ3	αiλ3	NOUN
ejpam-3273	347	22	(	(	PUNCT
ejpam-3273	347	23	λ2	λ2	NOUN
ejpam-3273	347	24	+	+	CCONJ
ejpam-3273	347	25	λ3	λ3	PROPN
ejpam-3273	347	26	)	)	PUNCT
ejpam-3273	348	1	+	+	NUM
ejpam-3273	348	2	α(λ4	α(λ4	VERB
ejpam-3273	348	3	−	−	NUM
ejpam-3273	348	4	λ3)[λ2	λ3)[λ2	NOUN
ejpam-3273	348	5	+	+	CCONJ
ejpam-3273	348	6	λ4	λ4	ADJ
ejpam-3273	348	7	+	+	CCONJ
ejpam-3273	348	8	iλ3	iλ3	NOUN
ejpam-3273	348	9	]	]	X
ejpam-3273	348	10	=	=	SYM
ejpam-3273	348	11	0	0	NUM
ejpam-3273	348	12	(	(	PUNCT
ejpam-3273	348	13	3	3	NUM
ejpam-3273	348	14	)	)	PUNCT
ejpam-3273	348	15	.	.	PUNCT
ejpam-3273	349	1	substituting	substitute	VERB
ejpam-3273	349	2	α	α	PROPN
ejpam-3273	349	3	=	=	PUNCT
ejpam-3273	349	4	(	(	PUNCT
ejpam-3273	349	5	d+1)λ2	d+1)λ2	PROPN
ejpam-3273	349	6	λ2−λ3	λ2−λ3	PROPN
ejpam-3273	349	7	in	in	ADP
ejpam-3273	349	8	(	(	PUNCT
ejpam-3273	349	9	1	1	NUM
ejpam-3273	349	10	)	)	PUNCT
ejpam-3273	349	11	,	,	PUNCT
ejpam-3273	349	12	we	we	PRON
ejpam-3273	349	13	get	get	VERB
ejpam-3273	349	14	(	(	PUNCT
ejpam-3273	349	15	λ2+λ4)(λ2+dλ4)(λ3+dλ2)d(λ2−λ3	λ2+λ4)(λ2+dλ4)(λ3+dλ2)d(λ2−λ3	ADP
ejpam-3273	349	16	)	)	PUNCT
ejpam-3273	349	17	=	=	SYM
ejpam-3273	350	1	0	0	X
ejpam-3273	350	2	.	.	PUNCT
ejpam-3273	351	1	this	this	PRON
ejpam-3273	351	2	implies	imply	VERB
ejpam-3273	351	3	that	that	SCONJ
ejpam-3273	351	4	λ2	λ2	NOUN
ejpam-3273	351	5	+	+	ADP
ejpam-3273	351	6	dλ4	dλ4	VERB
ejpam-3273	351	7	=	=	SYM
ejpam-3273	351	8	0	0	NUM
ejpam-3273	351	9	or	or	CCONJ
ejpam-3273	351	10	λ3	λ3	PROPN
ejpam-3273	351	11	+	+	PROPN
ejpam-3273	351	12	dλ2	dλ2	NOUN
ejpam-3273	351	13	=	=	SYM
ejpam-3273	351	14	0	0	NUM
ejpam-3273	351	15	.	.	PUNCT
ejpam-3273	352	1	if	if	SCONJ
ejpam-3273	352	2	λ2	λ2	PRON
ejpam-3273	352	3	+	+	CCONJ
ejpam-3273	352	4	dλ4	dλ4	NOUN
ejpam-3273	352	5	=	=	PUNCT
ejpam-3273	352	6	0	0	PUNCT
ejpam-3273	352	7	then	then	ADV
ejpam-3273	352	8	d−1λ2λ3	d−1λ2λ3	NOUN
ejpam-3273	352	9	+	+	CCONJ
ejpam-3273	352	10	λ3λ4	λ3λ4	X
ejpam-3273	352	11	=	=	SYM
ejpam-3273	352	12	0	0	NUM
ejpam-3273	352	13	,	,	PUNCT
ejpam-3273	352	14	which	which	PRON
ejpam-3273	352	15	is	be	AUX
ejpam-3273	352	16	equivalent	equivalent	ADJ
ejpam-3273	352	17	to	to	AUX
ejpam-3273	352	18	γ2	γ2	VERB
ejpam-3273	352	19	+	+	CCONJ
ejpam-3273	352	20	λ3λ4	λ3λ4	X
ejpam-3273	352	21	=	=	SYM
ejpam-3273	352	22	0	0	NUM
ejpam-3273	352	23	,	,	PUNCT
ejpam-3273	352	24	a	a	DET
ejpam-3273	352	25	contradiction	contradiction	NOUN
ejpam-3273	352	26	,	,	PUNCT
ejpam-3273	352	27	if	if	SCONJ
ejpam-3273	352	28	λ3	λ3	PROPN
ejpam-3273	352	29	+	+	PROPN
ejpam-3273	352	30	dλ2	dλ2	NOUN
ejpam-3273	352	31	=	=	SYM
ejpam-3273	352	32	0	0	NUM
ejpam-3273	352	33	then	then	ADV
ejpam-3273	352	34	γ2	γ2	PROPN
ejpam-3273	352	35	+	+	CCONJ
ejpam-3273	352	36	λ22	λ22	PROPN
ejpam-3273	352	37	=	=	SYM
ejpam-3273	352	38	0	0	PUNCT
ejpam-3273	353	1	(	(	PUNCT
ejpam-3273	353	2	lemma	lemma	PROPN
ejpam-3273	353	3	10	10	NUM
ejpam-3273	353	4	)	)	PUNCT
ejpam-3273	353	5	,	,	PUNCT
ejpam-3273	353	6	a	a	DET
ejpam-3273	353	7	contradiction	contradiction	NOUN
ejpam-3273	353	8	.	.	PUNCT
ejpam-3273	354	1	case	case	NOUN
ejpam-3273	354	2	13	13	NUM
ejpam-3273	354	3	:	:	PUNCT
ejpam-3273	354	4	let	let	VERB
ejpam-3273	354	5	αe1	αe1	NOUN
ejpam-3273	354	6	+	+	CCONJ
ejpam-3273	354	7	βe2	βe2	X
ejpam-3273	355	1	+	+	CCONJ
ejpam-3273	355	2	e4	e4	PROPN
ejpam-3273	355	3	∈	∈	PROPN
ejpam-3273	355	4	s	s	PART
ejpam-3273	355	5	,	,	PUNCT
ejpam-3273	355	6	it	it	PRON
ejpam-3273	355	7	follows	follow	VERB
ejpam-3273	355	8	that	that	SCONJ
ejpam-3273	355	9	a12(αe1	a12(αe1	PROPN
ejpam-3273	355	10	+	+	CCONJ
ejpam-3273	355	11	βe2	βe2	PROPN
ejpam-3273	356	1	+	+	X
ejpam-3273	356	2	e4)−	e4)−	X
ejpam-3273	356	3	λ24(αe1	λ24(αe1	X
ejpam-3273	356	4	+	+	CCONJ
ejpam-3273	356	5	βe2	βe2	NOUN
ejpam-3273	356	6	+	+	CCONJ
ejpam-3273	356	7	e4	e4	PROPN
ejpam-3273	356	8	)	)	PUNCT
ejpam-3273	356	9	∈	∈	PROPN
ejpam-3273	356	10	s.	s.	PROPN
ejpam-3273	356	11	h.	h.	PROPN
ejpam-3273	356	12	a.	a.	PROPN
ejpam-3273	356	13	haidar	haidar	PROPN
ejpam-3273	356	14	,	,	PUNCT
ejpam-3273	356	15	m.	m.	PROPN
ejpam-3273	356	16	n.	n.	PROPN
ejpam-3273	356	17	abdulrahim	abdulrahim	PROPN
ejpam-3273	356	18	/	/	SYM
ejpam-3273	356	19	eur	eur	PROPN
ejpam-3273	356	20	.	.	PUNCT
ejpam-3273	357	1	j.	j.	PROPN
ejpam-3273	357	2	pure	pure	PROPN
ejpam-3273	357	3	appl	appl	PROPN
ejpam-3273	357	4	.	.	PROPN
ejpam-3273	357	5	math	math	PROPN
ejpam-3273	357	6	,	,	PUNCT
ejpam-3273	357	7	11	11	NUM
ejpam-3273	357	8	(	(	PUNCT
ejpam-3273	357	9	3	3	NUM
ejpam-3273	357	10	)	)	PUNCT
ejpam-3273	357	11	(	(	PUNCT
ejpam-3273	357	12	2018	2018	NUM
ejpam-3273	357	13	)	)	PUNCT
ejpam-3273	357	14	,	,	PUNCT
ejpam-3273	357	15	682	682	NUM
ejpam-3273	357	16	-	-	SYM
ejpam-3273	357	17	701	701	NUM
ejpam-3273	357	18	697	697	NUM
ejpam-3273	357	19	then	then	ADV
ejpam-3273	357	20			PROPN
ejpam-3273	357	21	n1	n1	PROPN
ejpam-3273	357	22	n2	n2	PROPN
ejpam-3273	357	23	n3	n3	PROPN
ejpam-3273	357	24	0	0	NUM
ejpam-3273	357	25			PROPN
ejpam-3273	357	26	∈	∈	PROPN
ejpam-3273	357	27	s.	s.	PROPN
ejpam-3273	357	28	here	here	ADV
ejpam-3273	357	29	,	,	PUNCT
ejpam-3273	357	30	the	the	DET
ejpam-3273	357	31	constants	constant	NOUN
ejpam-3273	357	32	are	be	AUX
ejpam-3273	357	33	given	give	VERB
ejpam-3273	357	34	by	by	ADP
ejpam-3273	357	35	n1	n1	PROPN
ejpam-3273	357	36	=	=	NOUN
ejpam-3273	357	37	α(λ21	α(λ21	VERB
ejpam-3273	358	1	−	−	X
ejpam-3273	358	2	λ24	λ24	NUM
ejpam-3273	358	3	)	)	PUNCT
ejpam-3273	358	4	+	+	NUM
ejpam-3273	358	5	βjλ2	βjλ2	PROPN
ejpam-3273	358	6	(	(	PUNCT
ejpam-3273	358	7	λ1	λ1	ADJ
ejpam-3273	358	8	+	+	SYM
ejpam-3273	358	9	λ2	λ2	NOUN
ejpam-3273	358	10	)	)	PUNCT
ejpam-3273	358	11	+	+	NOUN
ejpam-3273	358	12	λ4[λ1	λ4[λ1	PUNCT
ejpam-3273	358	13	+	+	CCONJ
ejpam-3273	358	14	λ4	λ4	PROPN
ejpam-3273	358	15	+	+	CCONJ
ejpam-3273	358	16	j	j	PROPN
ejpam-3273	358	17	(	(	PUNCT
ejpam-3273	358	18	λ2	λ2	PROPN
ejpam-3273	358	19	+	+	CCONJ
ejpam-3273	358	20	λ3	λ3	PROPN
ejpam-3273	358	21	)	)	PUNCT
ejpam-3273	358	22	]	]	PUNCT
ejpam-3273	358	23	,	,	PUNCT
ejpam-3273	358	24	n2	n2	NOUN
ejpam-3273	358	25	=	=	X
ejpam-3273	358	26	β(λ22	β(λ22	NOUN
ejpam-3273	358	27	−	−	PROPN
ejpam-3273	358	28	λ24	λ24	PROPN
ejpam-3273	358	29	)	)	PUNCT
ejpam-3273	359	1	+	+	NUM
ejpam-3273	359	2	λ4[λ2	λ4[λ2	X
ejpam-3273	360	1	+	+	CCONJ
ejpam-3273	360	2	λ4	λ4	ADJ
ejpam-3273	360	3	+	+	CCONJ
ejpam-3273	360	4	iλ3	iλ3	NOUN
ejpam-3273	360	5	]	]	X
ejpam-3273	360	6	,	,	PUNCT
ejpam-3273	360	7	n3	n3	NOUN
ejpam-3273	360	8	=	=	PUNCT
ejpam-3273	360	9	λ4	λ4	PROPN
ejpam-3273	360	10	(	(	PUNCT
ejpam-3273	360	11	λ3	λ3	PROPN
ejpam-3273	360	12	+	+	CCONJ
ejpam-3273	360	13	λ4	λ4	ADJ
ejpam-3273	360	14	)	)	PUNCT
ejpam-3273	360	15	.	.	PUNCT
ejpam-3273	361	1	if	if	SCONJ
ejpam-3273	361	2	n1	n1	PROPN
ejpam-3273	361	3	6=	6=	SYM
ejpam-3273	361	4	0	0	NUM
ejpam-3273	361	5	or	or	CCONJ
ejpam-3273	361	6	n2	n2	ADJ
ejpam-3273	361	7	6=	6=	NUM
ejpam-3273	361	8	0	0	NUM
ejpam-3273	361	9	or	or	CCONJ
ejpam-3273	361	10	n3	n3	NOUN
ejpam-3273	361	11	6=	6=	PROPN
ejpam-3273	361	12	0	0	NUM
ejpam-3273	361	13	,	,	PUNCT
ejpam-3273	361	14	then	then	ADV
ejpam-3273	361	15	we	we	PRON
ejpam-3273	361	16	get	get	VERB
ejpam-3273	361	17	a	a	DET
ejpam-3273	361	18	contradiction	contradiction	NOUN
ejpam-3273	361	19	(	(	PUNCT
ejpam-3273	361	20	case	case	NOUN
ejpam-3273	361	21	1	1	NUM
ejpam-3273	361	22	,	,	PUNCT
ejpam-3273	361	23	case	case	NOUN
ejpam-3273	361	24	2	2	NUM
ejpam-3273	361	25	,	,	PUNCT
ejpam-3273	361	26	case	case	NOUN
ejpam-3273	361	27	4	4	NUM
ejpam-3273	361	28	,	,	PUNCT
ejpam-3273	361	29	case	case	NOUN
ejpam-3273	361	30	5	5	NUM
ejpam-3273	361	31	,	,	PUNCT
ejpam-3273	361	32	case	case	NOUN
ejpam-3273	361	33	6	6	NUM
ejpam-3273	361	34	,	,	PUNCT
ejpam-3273	361	35	case	case	NOUN
ejpam-3273	361	36	9	9	NUM
ejpam-3273	361	37	,	,	PUNCT
ejpam-3273	361	38	and	and	CCONJ
ejpam-3273	361	39	case	case	NOUN
ejpam-3273	361	40	11	11	NUM
ejpam-3273	361	41	)	)	PUNCT
ejpam-3273	361	42	.	.	PUNCT
ejpam-3273	362	1	otherwise	otherwise	ADV
ejpam-3273	362	2	,	,	PUNCT
ejpam-3273	362	3	if	if	SCONJ
ejpam-3273	362	4	n3	n3	NOUN
ejpam-3273	362	5	=	=	NOUN
ejpam-3273	362	6	0	0	PUNCT
ejpam-3273	362	7	then	then	ADV
ejpam-3273	362	8	λ4	λ4	PROPN
ejpam-3273	362	9	(	(	PUNCT
ejpam-3273	362	10	λ3	λ3	PROPN
ejpam-3273	362	11	+	+	CCONJ
ejpam-3273	362	12	λ4	λ4	ADJ
ejpam-3273	362	13	)	)	PUNCT
ejpam-3273	362	14	=	=	SYM
ejpam-3273	362	15	0	0	NUM
ejpam-3273	362	16	,	,	PUNCT
ejpam-3273	362	17	a	a	DET
ejpam-3273	362	18	contradiction	contradiction	NOUN
ejpam-3273	362	19	.	.	PUNCT
ejpam-3273	363	1	case	case	NOUN
ejpam-3273	363	2	14	14	NUM
ejpam-3273	363	3	:	:	PUNCT
ejpam-3273	363	4	let	let	VERB
ejpam-3273	363	5	e1	e1	NOUN
ejpam-3273	363	6	+	+	NOUN
ejpam-3273	363	7	αe3	αe3	NOUN
ejpam-3273	364	1	+	+	CCONJ
ejpam-3273	364	2	βe4	βe4	NOUN
ejpam-3273	364	3	∈	∈	PROPN
ejpam-3273	364	4	s	s	X
ejpam-3273	364	5	,	,	PUNCT
ejpam-3273	364	6	it	it	PRON
ejpam-3273	364	7	follows	follow	VERB
ejpam-3273	364	8	that	that	SCONJ
ejpam-3273	364	9	a23(e1	a23(e1	NOUN
ejpam-3273	364	10	+	+	CCONJ
ejpam-3273	364	11	αe3	αe3	NOUN
ejpam-3273	364	12	+	+	CCONJ
ejpam-3273	364	13	βe4)−	βe4)−	NOUN
ejpam-3273	364	14	λ24(e1	λ24(e1	NOUN
ejpam-3273	364	15	+	+	NUM
ejpam-3273	364	16	αe3	αe3	NOUN
ejpam-3273	364	17	+	+	CCONJ
ejpam-3273	364	18	βe4	βe4	X
ejpam-3273	364	19	)	)	PUNCT
ejpam-3273	364	20	∈	∈	PROPN
ejpam-3273	364	21	s.	s.	PROPN
ejpam-3273	364	22	then	then	ADV
ejpam-3273	364	23			PROPN
ejpam-3273	364	24	0	0	NUM
ejpam-3273	364	25	r2	r2	PROPN
ejpam-3273	364	26	r3	r3	PROPN
ejpam-3273	364	27	r4	r4	PROPN
ejpam-3273	364	28			NOUN
ejpam-3273	364	29	∈	∈	PROPN
ejpam-3273	364	30	s.	s.	PROPN
ejpam-3273	364	31	here	here	ADV
ejpam-3273	364	32	,	,	PUNCT
ejpam-3273	364	33	the	the	DET
ejpam-3273	364	34	constants	constant	NOUN
ejpam-3273	364	35	are	be	AUX
ejpam-3273	364	36	given	give	VERB
ejpam-3273	364	37	by	by	ADP
ejpam-3273	364	38	r2	r2	PROPN
ejpam-3273	364	39	=	=	PROPN
ejpam-3273	364	40	−λ3	−λ3	PROPN
ejpam-3273	364	41	(	(	PUNCT
ejpam-3273	364	42	λ3	λ3	PROPN
ejpam-3273	364	43	+	+	CCONJ
ejpam-3273	364	44	λ4	λ4	PROPN
ejpam-3273	364	45	)	)	PUNCT
ejpam-3273	364	46	,	,	PUNCT
ejpam-3273	364	47	r3	r3	X
ejpam-3273	364	48	=	=	PUNCT
ejpam-3273	365	1	λ2[dλ4	λ2[dλ4	NOUN
ejpam-3273	365	2	+	+	PUNCT
ejpam-3273	365	3	(	(	PUNCT
ejpam-3273	365	4	d	d	X
ejpam-3273	365	5	+	+	SYM
ejpam-3273	365	6	1)λ3	1)λ3	NUM
ejpam-3273	365	7	+	+	NOUN
ejpam-3273	365	8	dλ2	dλ2	NOUN
ejpam-3273	365	9	]	]	X
ejpam-3273	365	10	+	+	NUM
ejpam-3273	365	11	α(λ22	α(λ22	NOUN
ejpam-3273	365	12	−	−	NOUN
ejpam-3273	365	13	λ24	λ24	NOUN
ejpam-3273	365	14	)	)	PUNCT
ejpam-3273	365	15	,	,	PUNCT
ejpam-3273	365	16	r4	r4	NOUN
ejpam-3273	365	17	=	=	SYM
ejpam-3273	365	18	l+	l+	PUNCT
ejpam-3273	365	19	αm	αm	NOUN
ejpam-3273	365	20	+	+	X
ejpam-3273	365	21	β(λ21	β(λ21	X
ejpam-3273	365	22	−	−	X
ejpam-3273	365	23	λ24	λ24	NOUN
ejpam-3273	365	24	)	)	PUNCT
ejpam-3273	365	25	.	.	PUNCT
ejpam-3273	366	1	if	if	SCONJ
ejpam-3273	366	2	r2	r2	PROPN
ejpam-3273	366	3	6=	6=	PRON
ejpam-3273	366	4	0	0	NUM
ejpam-3273	366	5	or	or	CCONJ
ejpam-3273	366	6	r3	r3	PROPN
ejpam-3273	366	7	6=	6=	ADP
ejpam-3273	366	8	0	0	NUM
ejpam-3273	366	9	or	or	CCONJ
ejpam-3273	366	10	r4	r4	VERB
ejpam-3273	366	11	6=	6=	PRON
ejpam-3273	366	12	0	0	NUM
ejpam-3273	366	13	then	then	ADV
ejpam-3273	366	14	we	we	PRON
ejpam-3273	366	15	get	get	VERB
ejpam-3273	366	16	a	a	DET
ejpam-3273	366	17	contradiction	contradiction	NOUN
ejpam-3273	366	18	(	(	PUNCT
ejpam-3273	366	19	case	case	NOUN
ejpam-3273	366	20	2	2	NUM
ejpam-3273	366	21	,	,	PUNCT
ejpam-3273	366	22	case	case	NOUN
ejpam-3273	366	23	3	3	NUM
ejpam-3273	366	24	,	,	PUNCT
ejpam-3273	366	25	case	case	NOUN
ejpam-3273	366	26	4	4	NUM
ejpam-3273	366	27	,	,	PUNCT
ejpam-3273	366	28	case	case	NOUN
ejpam-3273	366	29	7,case	7,case	NUM
ejpam-3273	366	30	9	9	NUM
ejpam-3273	366	31	,	,	PUNCT
ejpam-3273	366	32	case	case	NOUN
ejpam-3273	366	33	10	10	NUM
ejpam-3273	366	34	,	,	PUNCT
ejpam-3273	366	35	and	and	CCONJ
ejpam-3273	366	36	case	case	NOUN
ejpam-3273	366	37	12	12	NUM
ejpam-3273	366	38	)	)	PUNCT
ejpam-3273	366	39	.	.	PUNCT
ejpam-3273	367	1	otherwise	otherwise	ADV
ejpam-3273	367	2	,	,	PUNCT
ejpam-3273	367	3	if	if	SCONJ
ejpam-3273	367	4	r2	r2	PROPN
ejpam-3273	367	5	=	=	NOUN
ejpam-3273	367	6	0	0	PUNCT
ejpam-3273	367	7	then	then	ADV
ejpam-3273	367	8	−λ3	−λ3	PROPN
ejpam-3273	367	9	(	(	PUNCT
ejpam-3273	367	10	λ3	λ3	PROPN
ejpam-3273	367	11	+	+	CCONJ
ejpam-3273	367	12	λ4	λ4	ADJ
ejpam-3273	367	13	)	)	PUNCT
ejpam-3273	368	1	=	=	SYM
ejpam-3273	368	2	0	0	NUM
ejpam-3273	368	3	,	,	PUNCT
ejpam-3273	368	4	a	a	DET
ejpam-3273	368	5	contradiction	contradiction	NOUN
ejpam-3273	368	6	.	.	PUNCT
ejpam-3273	369	1	case	case	NOUN
ejpam-3273	369	2	15	15	NUM
ejpam-3273	369	3	:	:	PUNCT
ejpam-3273	369	4	let	let	VERB
ejpam-3273	369	5	αe1	αe1	NOUN
ejpam-3273	369	6	+	+	CCONJ
ejpam-3273	369	7	βe2	βe2	X
ejpam-3273	370	1	+	+	CCONJ
ejpam-3273	370	2	δe3	δe3	NOUN
ejpam-3273	370	3	+	+	CCONJ
ejpam-3273	370	4	e4	e4	PROPN
ejpam-3273	370	5	∈	∈	PROPN
ejpam-3273	370	6	s	s	PART
ejpam-3273	370	7	,	,	PUNCT
ejpam-3273	370	8	it	it	PRON
ejpam-3273	370	9	follows	follow	VERB
ejpam-3273	370	10	that	that	SCONJ
ejpam-3273	370	11	a12(αe1	a12(αe1	PROPN
ejpam-3273	370	12	+	+	CCONJ
ejpam-3273	370	13	βe2	βe2	X
ejpam-3273	371	1	+	+	CCONJ
ejpam-3273	371	2	δe3	δe3	NOUN
ejpam-3273	371	3	+	+	CCONJ
ejpam-3273	371	4	e4)−	e4)−	X
ejpam-3273	371	5	λ24(αe1	λ24(αe1	X
ejpam-3273	371	6	+	+	CCONJ
ejpam-3273	371	7	βe2	βe2	X
ejpam-3273	372	1	+	+	CCONJ
ejpam-3273	372	2	δe3	δe3	NOUN
ejpam-3273	372	3	+	+	CCONJ
ejpam-3273	372	4	e4	e4	PROPN
ejpam-3273	372	5	)	)	PUNCT
ejpam-3273	372	6	∈	∈	PROPN
ejpam-3273	372	7	s.	s.	PROPN
ejpam-3273	372	8	h.	h.	PROPN
ejpam-3273	372	9	a.	a.	PROPN
ejpam-3273	372	10	haidar	haidar	PROPN
ejpam-3273	372	11	,	,	PUNCT
ejpam-3273	372	12	m.	m.	PROPN
ejpam-3273	372	13	n.	n.	PROPN
ejpam-3273	372	14	abdulrahim	abdulrahim	PROPN
ejpam-3273	372	15	/	/	SYM
ejpam-3273	372	16	eur	eur	PROPN
ejpam-3273	372	17	.	.	PUNCT
ejpam-3273	373	1	j.	j.	PROPN
ejpam-3273	373	2	pure	pure	PROPN
ejpam-3273	373	3	appl	appl	PROPN
ejpam-3273	373	4	.	.	PROPN
ejpam-3273	373	5	math	math	PROPN
ejpam-3273	373	6	,	,	PUNCT
ejpam-3273	373	7	11	11	NUM
ejpam-3273	373	8	(	(	PUNCT
ejpam-3273	373	9	3	3	NUM
ejpam-3273	373	10	)	)	PUNCT
ejpam-3273	373	11	(	(	PUNCT
ejpam-3273	373	12	2018	2018	NUM
ejpam-3273	373	13	)	)	PUNCT
ejpam-3273	373	14	,	,	PUNCT
ejpam-3273	373	15	682	682	NUM
ejpam-3273	373	16	-	-	SYM
ejpam-3273	373	17	701	701	NUM
ejpam-3273	373	18	698	698	NUM
ejpam-3273	373	19	.	.	PUNCT
ejpam-3273	374	1	then	then	ADV
ejpam-3273	374	2			PROPN
ejpam-3273	374	3	n1	n1	PROPN
ejpam-3273	374	4	n2	n2	PROPN
ejpam-3273	374	5	n3	n3	PROPN
ejpam-3273	374	6	0	0	NUM
ejpam-3273	374	7			PROPN
ejpam-3273	374	8	∈	∈	PROPN
ejpam-3273	374	9	s.	s.	PROPN
ejpam-3273	374	10	here	here	ADV
ejpam-3273	374	11	,	,	PUNCT
ejpam-3273	374	12	the	the	DET
ejpam-3273	374	13	constants	constant	NOUN
ejpam-3273	374	14	are	be	AUX
ejpam-3273	374	15	given	give	VERB
ejpam-3273	374	16	by	by	ADP
ejpam-3273	374	17	n1	n1	PROPN
ejpam-3273	374	18	=	=	NOUN
ejpam-3273	374	19	α(λ21	α(λ21	AUX
ejpam-3273	375	1	−	−	X
ejpam-3273	375	2	λ24	λ24	NUM
ejpam-3273	375	3	)	)	PUNCT
ejpam-3273	375	4	+	+	NUM
ejpam-3273	375	5	βjλ2	βjλ2	PROPN
ejpam-3273	375	6	(	(	PUNCT
ejpam-3273	375	7	λ1	λ1	ADJ
ejpam-3273	375	8	+	+	SYM
ejpam-3273	375	9	λ2	λ2	NOUN
ejpam-3273	375	10	)	)	PUNCT
ejpam-3273	375	11	+	+	NUM
ejpam-3273	375	12	δjλ3[λ1	δjλ3[λ1	NOUN
ejpam-3273	375	13	+	+	CCONJ
ejpam-3273	375	14	λ3	λ3	PROPN
ejpam-3273	375	15	+	+	CCONJ
ejpam-3273	375	16	iλ2	iλ2	NOUN
ejpam-3273	375	17	]	]	X
ejpam-3273	376	1	+	+	CCONJ
ejpam-3273	376	2	λ4[λ1	λ4[λ1	X
ejpam-3273	376	3	+	+	CCONJ
ejpam-3273	376	4	λ4	λ4	PROPN
ejpam-3273	376	5	+	+	CCONJ
ejpam-3273	376	6	j	j	PROPN
ejpam-3273	376	7	(	(	PUNCT
ejpam-3273	376	8	λ2	λ2	PROPN
ejpam-3273	376	9	+	+	CCONJ
ejpam-3273	376	10	λ3	λ3	PROPN
ejpam-3273	376	11	)	)	PUNCT
ejpam-3273	376	12	]	]	PUNCT
ejpam-3273	376	13	,	,	PUNCT
ejpam-3273	376	14	n2	n2	NOUN
ejpam-3273	376	15	=	=	X
ejpam-3273	376	16	β(λ22	β(λ22	NOUN
ejpam-3273	376	17	−	−	PROPN
ejpam-3273	376	18	λ24	λ24	PROPN
ejpam-3273	376	19	)	)	PUNCT
ejpam-3273	376	20	+	+	NUM
ejpam-3273	376	21	δiλ3	δiλ3	NOUN
ejpam-3273	376	22	(	(	PUNCT
ejpam-3273	376	23	λ2	λ2	PROPN
ejpam-3273	376	24	+	+	CCONJ
ejpam-3273	376	25	λ3	λ3	PROPN
ejpam-3273	376	26	)	)	PUNCT
ejpam-3273	377	1	+	+	NUM
ejpam-3273	377	2	λ4[λ2	λ4[λ2	X
ejpam-3273	378	1	+	+	CCONJ
ejpam-3273	378	2	λ4	λ4	ADJ
ejpam-3273	378	3	+	+	CCONJ
ejpam-3273	378	4	iλ3	iλ3	NOUN
ejpam-3273	378	5	]	]	X
ejpam-3273	378	6	,	,	PUNCT
ejpam-3273	378	7	n3	n3	NOUN
ejpam-3273	378	8	=	=	NOUN
ejpam-3273	378	9	δ(λ23	δ(λ23	NOUN
ejpam-3273	378	10	−	−	PROPN
ejpam-3273	378	11	λ24	λ24	PROPN
ejpam-3273	378	12	)	)	PUNCT
ejpam-3273	379	1	+	+	CCONJ
ejpam-3273	379	2	λ4	λ4	PROPN
ejpam-3273	379	3	(	(	PUNCT
ejpam-3273	379	4	λ3	λ3	PROPN
ejpam-3273	379	5	+	+	CCONJ
ejpam-3273	379	6	λ4	λ4	ADJ
ejpam-3273	379	7	)	)	PUNCT
ejpam-3273	379	8	.	.	PUNCT
ejpam-3273	380	1	if	if	SCONJ
ejpam-3273	380	2	n1	n1	PROPN
ejpam-3273	380	3	6=	6=	SYM
ejpam-3273	380	4	0	0	NUM
ejpam-3273	380	5	or	or	CCONJ
ejpam-3273	380	6	n2	n2	ADJ
ejpam-3273	380	7	6=	6=	NUM
ejpam-3273	380	8	0	0	NUM
ejpam-3273	380	9	or	or	CCONJ
ejpam-3273	380	10	n3	n3	NOUN
ejpam-3273	380	11	6=	6=	PROPN
ejpam-3273	380	12	0	0	NUM
ejpam-3273	380	13	then	then	ADV
ejpam-3273	380	14	we	we	PRON
ejpam-3273	380	15	get	get	VERB
ejpam-3273	380	16	a	a	DET
ejpam-3273	380	17	contradiction	contradiction	NOUN
ejpam-3273	380	18	(	(	PUNCT
ejpam-3273	380	19	case	case	NOUN
ejpam-3273	380	20	1	1	NUM
ejpam-3273	380	21	,	,	PUNCT
ejpam-3273	380	22	case	case	NOUN
ejpam-3273	380	23	2	2	NUM
ejpam-3273	380	24	,	,	PUNCT
ejpam-3273	380	25	case	case	NOUN
ejpam-3273	380	26	4	4	NUM
ejpam-3273	380	27	,	,	PUNCT
ejpam-3273	380	28	case	case	NOUN
ejpam-3273	380	29	5	5	NUM
ejpam-3273	380	30	,	,	PUNCT
ejpam-3273	380	31	case	case	NOUN
ejpam-3273	380	32	6	6	NUM
ejpam-3273	380	33	,	,	PUNCT
ejpam-3273	380	34	case	case	NOUN
ejpam-3273	380	35	9	9	NUM
ejpam-3273	380	36	,	,	PUNCT
ejpam-3273	380	37	and	and	CCONJ
ejpam-3273	380	38	case	case	NOUN
ejpam-3273	380	39	11	11	NUM
ejpam-3273	380	40	)	)	PUNCT
ejpam-3273	380	41	.	.	PUNCT
ejpam-3273	381	1	otherwise	otherwise	ADV
ejpam-3273	381	2	,	,	PUNCT
ejpam-3273	381	3	if	if	SCONJ
ejpam-3273	381	4	n3	n3	NOUN
ejpam-3273	381	5	=	=	NOUN
ejpam-3273	381	6	0	0	NUM
ejpam-3273	381	7	then	then	ADV
ejpam-3273	381	8	δ(λ3	δ(λ3	VERB
ejpam-3273	381	9	−	−	PROPN
ejpam-3273	381	10	λ4	λ4	PROPN
ejpam-3273	381	11	)	)	PUNCT
ejpam-3273	382	1	+	+	CCONJ
ejpam-3273	382	2	λ4	λ4	ADJ
ejpam-3273	382	3	=	=	NOUN
ejpam-3273	382	4	0	0	X
ejpam-3273	382	5	.	.	PUNCT
ejpam-3273	383	1	this	this	PRON
ejpam-3273	383	2	implies	imply	VERB
ejpam-3273	383	3	that	that	SCONJ
ejpam-3273	383	4	δ	δ	PROPN
ejpam-3273	383	5	=	=	PUNCT
ejpam-3273	383	6	λ4	λ4	PROPN
ejpam-3273	383	7	λ4−λ3	λ4−λ3	X
ejpam-3273	383	8	.	.	PUNCT
ejpam-3273	384	1	substituting	substitute	VERB
ejpam-3273	384	2	δ	δ	X
ejpam-3273	384	3	=	=	PUNCT
ejpam-3273	385	1	λ4	λ4	PROPN
ejpam-3273	385	2	λ4−λ3	λ4−λ3	X
ejpam-3273	385	3	in	in	ADP
ejpam-3273	385	4	the	the	DET
ejpam-3273	385	5	equation	equation	NOUN
ejpam-3273	385	6	n2(λ4	n2(λ4	NUM
ejpam-3273	385	7	−	−	PROPN
ejpam-3273	385	8	λ3	λ3	PROPN
ejpam-3273	385	9	)	)	PUNCT
ejpam-3273	385	10	=	=	SYM
ejpam-3273	386	1	0	0	NUM
ejpam-3273	386	2	,	,	PUNCT
ejpam-3273	386	3	we	we	PRON
ejpam-3273	386	4	get	get	VERB
ejpam-3273	386	5	β(λ22	β(λ22	NOUN
ejpam-3273	386	6	−	−	PROPN
ejpam-3273	386	7	λ24)(λ4	λ24)(λ4	PROPN
ejpam-3273	386	8	−	−	PROPN
ejpam-3273	386	9	λ3	λ3	PROPN
ejpam-3273	386	10	)	)	PUNCT
ejpam-3273	386	11	+	+	NUM
ejpam-3273	386	12	λ4iλ3	λ4iλ3	NOUN
ejpam-3273	386	13	(	(	PUNCT
ejpam-3273	386	14	λ2	λ2	NOUN
ejpam-3273	386	15	+	+	CCONJ
ejpam-3273	386	16	λ3	λ3	PROPN
ejpam-3273	386	17	)	)	PUNCT
ejpam-3273	386	18	+	+	CCONJ
ejpam-3273	387	1	λ4(λ4	λ4(λ4	ADP
ejpam-3273	387	2	−	−	NOUN
ejpam-3273	387	3	λ3)[λ2	λ3)[λ2	NOUN
ejpam-3273	388	1	+	+	CCONJ
ejpam-3273	388	2	λ4	λ4	ADJ
ejpam-3273	388	3	+	+	CCONJ
ejpam-3273	388	4	iλ3	iλ3	NOUN
ejpam-3273	388	5	]	]	X
ejpam-3273	388	6	=	=	SYM
ejpam-3273	388	7	0	0	X
ejpam-3273	388	8	.	.	PUNCT
ejpam-3273	389	1	so	so	ADV
ejpam-3273	389	2	β(λ22	β(λ22	NOUN
ejpam-3273	389	3	−	−	PROPN
ejpam-3273	389	4	λ24)(λ4	λ24)(λ4	PROPN
ejpam-3273	389	5	−	−	PROPN
ejpam-3273	389	6	λ3	λ3	PROPN
ejpam-3273	389	7	)	)	PUNCT
ejpam-3273	390	1	+	+	NUM
ejpam-3273	390	2	λ4iλ3(λ2	λ4iλ3(λ2	X
ejpam-3273	390	3	+	+	X
ejpam-3273	390	4	λ4	λ4	ADJ
ejpam-3273	390	5	)	)	PUNCT
ejpam-3273	391	1	+	+	CCONJ
ejpam-3273	391	2	λ4(λ4	λ4(λ4	ADP
ejpam-3273	391	3	−	−	NOUN
ejpam-3273	391	4	λ3)(λ2	λ3)(λ2	NOUN
ejpam-3273	392	1	+	+	CCONJ
ejpam-3273	392	2	λ4	λ4	ADJ
ejpam-3273	392	3	)	)	PUNCT
ejpam-3273	392	4	=	=	SYM
ejpam-3273	393	1	0	0	X
ejpam-3273	393	2	.	.	PUNCT
ejpam-3273	394	1	this	this	PRON
ejpam-3273	394	2	implies	imply	VERB
ejpam-3273	394	3	that	that	SCONJ
ejpam-3273	394	4	(	(	PUNCT
ejpam-3273	394	5	λ2	λ2	NOUN
ejpam-3273	394	6	+	+	CCONJ
ejpam-3273	394	7	λ4)[β(λ2	λ4)[β(λ2	X
ejpam-3273	394	8	−	−	NOUN
ejpam-3273	394	9	λ4)(λ4	λ4)(λ4	ADJ
ejpam-3273	394	10	−	−	PROPN
ejpam-3273	394	11	λ3	λ3	PROPN
ejpam-3273	394	12	)	)	PUNCT
ejpam-3273	394	13	+	+	CCONJ
ejpam-3273	394	14	λ4(λ4	λ4(λ4	ADP
ejpam-3273	394	15	+	+	CCONJ
ejpam-3273	394	16	λ3d	λ3d	NUM
ejpam-3273	394	17	−1	−1	NOUN
ejpam-3273	394	18	)	)	PUNCT
ejpam-3273	394	19	]	]	PUNCT
ejpam-3273	395	1	=	=	PUNCT
ejpam-3273	395	2	0	0	X
ejpam-3273	395	3	.	.	PUNCT
ejpam-3273	395	4	hence	hence	ADV
ejpam-3273	395	5	β(λ2	β(λ2	ADV
ejpam-3273	395	6	−	−	NOUN
ejpam-3273	395	7	λ4)(λ4	λ4)(λ4	ADJ
ejpam-3273	395	8	−	−	PROPN
ejpam-3273	395	9	λ3	λ3	PROPN
ejpam-3273	395	10	)	)	PUNCT
ejpam-3273	396	1	+	+	CCONJ
ejpam-3273	396	2	λ4(λ4	λ4(λ4	ADP
ejpam-3273	396	3	+	+	CCONJ
ejpam-3273	396	4	λ3d	λ3d	NUM
ejpam-3273	396	5	−1	−1	NOUN
ejpam-3273	396	6	)	)	PUNCT
ejpam-3273	397	1	=	=	SYM
ejpam-3273	397	2	0	0	X
ejpam-3273	397	3	.	.	PUNCT
ejpam-3273	398	1	in	in	ADP
ejpam-3273	398	2	the	the	DET
ejpam-3273	398	3	case	case	NOUN
ejpam-3273	398	4	(	(	PUNCT
ejpam-3273	398	5	λ2	λ2	NOUN
ejpam-3273	398	6	−	−	PROPN
ejpam-3273	398	7	λ4)(λ4	λ4)(λ4	ADJ
ejpam-3273	398	8	−	−	PROPN
ejpam-3273	398	9	λ3	λ3	PROPN
ejpam-3273	398	10	)	)	PUNCT
ejpam-3273	398	11	=	=	SYM
ejpam-3273	398	12	0	0	NUM
ejpam-3273	398	13	,	,	PUNCT
ejpam-3273	398	14	we	we	PRON
ejpam-3273	398	15	get	get	VERB
ejpam-3273	398	16	λ4	λ4	ADJ
ejpam-3273	398	17	+	+	CCONJ
ejpam-3273	398	18	λ3d	λ3d	X
ejpam-3273	398	19	−1	−1	NOUN
ejpam-3273	398	20	=	=	NOUN
ejpam-3273	398	21	0	0	PROPN
ejpam-3273	398	22	.	.	PUNCT
ejpam-3273	399	1	this	this	PRON
ejpam-3273	399	2	implies	imply	VERB
ejpam-3273	399	3	that	that	SCONJ
ejpam-3273	399	4	λ2λ4	λ2λ4	PROPN
ejpam-3273	399	5	+	+	NUM
ejpam-3273	399	6	λ2λ3d	λ2λ3d	NUM
ejpam-3273	399	7	−1	−1	NOUN
ejpam-3273	399	8	=	=	SYM
ejpam-3273	399	9	0	0	NUM
ejpam-3273	399	10	,	,	PUNCT
ejpam-3273	399	11	which	which	PRON
ejpam-3273	399	12	is	be	AUX
ejpam-3273	399	13	equivalent	equivalent	ADJ
ejpam-3273	399	14	to	to	AUX
ejpam-3273	399	15	γ2	γ2	VERB
ejpam-3273	399	16	+	+	CCONJ
ejpam-3273	399	17	λ2λ4	λ2λ4	X
ejpam-3273	399	18	=	=	SYM
ejpam-3273	399	19	0	0	PROPN
ejpam-3273	399	20	,	,	PUNCT
ejpam-3273	399	21	a	a	DET
ejpam-3273	399	22	contradiction	contradiction	NOUN
ejpam-3273	399	23	.	.	PUNCT
ejpam-3273	400	1	hence	hence	ADV
ejpam-3273	400	2	β	β	X
ejpam-3273	400	3	=	=	SYM
ejpam-3273	400	4	λ4(λ4+λ3d−1	λ4(λ4+λ3d−1	PROPN
ejpam-3273	400	5	)	)	PUNCT
ejpam-3273	400	6	(	(	PUNCT
ejpam-3273	400	7	λ2−λ4)(λ3−λ4	λ2−λ4)(λ3−λ4	PROPN
ejpam-3273	400	8	)	)	PUNCT
ejpam-3273	400	9	.	.	PUNCT
ejpam-3273	401	1	let	let	VERB
ejpam-3273	401	2	us	we	PRON
ejpam-3273	401	3	substitute	substitute	VERB
ejpam-3273	401	4	δ	δ	PROPN
ejpam-3273	401	5	=	=	PUNCT
ejpam-3273	402	1	λ4	λ4	PROPN
ejpam-3273	402	2	λ4−λ3	λ4−λ3	X
ejpam-3273	402	3	,	,	PUNCT
ejpam-3273	402	4	and	and	CCONJ
ejpam-3273	402	5	β	β	X
ejpam-3273	402	6	=	=	SYM
ejpam-3273	402	7	λ4(λ4+λ3d−1	λ4(λ4+λ3d−1	PROPN
ejpam-3273	402	8	)	)	PUNCT
ejpam-3273	402	9	(	(	PUNCT
ejpam-3273	402	10	λ2−λ4)(λ3−λ4	λ2−λ4)(λ3−λ4	PROPN
ejpam-3273	402	11	)	)	PUNCT
ejpam-3273	402	12	in	in	ADP
ejpam-3273	402	13	the	the	DET
ejpam-3273	402	14	equation	equation	NOUN
ejpam-3273	402	15	n1(λ2	n1(λ2	ADV
ejpam-3273	402	16	−	−	PROPN
ejpam-3273	402	17	λ4)(λ3	λ4)(λ3	ADP
ejpam-3273	402	18	−	−	PROPN
ejpam-3273	402	19	λ4	λ4	ADJ
ejpam-3273	402	20	)	)	PUNCT
ejpam-3273	403	1	=	=	PUNCT
ejpam-3273	403	2	0	0	X
ejpam-3273	403	3	.	.	PUNCT
ejpam-3273	404	1	it	it	PRON
ejpam-3273	404	2	follows	follow	VERB
ejpam-3273	404	3	that	that	PRON
ejpam-3273	404	4	αf	αf	ADP
ejpam-3273	404	5	+	+	CCONJ
ejpam-3273	404	6	λ4(λ4	λ4(λ4	PROPN
ejpam-3273	404	7	+	+	PROPN
ejpam-3273	404	8	λ3d	λ3d	X
ejpam-3273	404	9	−1)jλ2	−1)jλ2	PROPN
ejpam-3273	404	10	(	(	PUNCT
ejpam-3273	404	11	λ1	λ1	PROPN
ejpam-3273	404	12	+	+	X
ejpam-3273	404	13	λ2)−	λ2)−	VERB
ejpam-3273	404	14	λ4(λ2	λ4(λ2	ADP
ejpam-3273	404	15	−	−	PROPN
ejpam-3273	404	16	λ4)jλ3[λ1	λ4)jλ3[λ1	X
ejpam-3273	405	1	+	+	PUNCT
ejpam-3273	405	2	λ3	λ3	PROPN
ejpam-3273	405	3	+	+	CCONJ
ejpam-3273	405	4	iλ2	iλ2	X
ejpam-3273	405	5	]	]	X
ejpam-3273	405	6	+	+	CCONJ
ejpam-3273	405	7	g	g	NOUN
ejpam-3273	405	8	=	=	SYM
ejpam-3273	405	9	0	0	PROPN
ejpam-3273	405	10	.	.	PUNCT
ejpam-3273	406	1	then	then	ADV
ejpam-3273	406	2	αf	αf	VERB
ejpam-3273	406	3	+	+	ADJ
ejpam-3273	406	4	d−3λ4	d−3λ4	X
ejpam-3273	406	5	(	(	PUNCT
ejpam-3273	406	6	λ1	λ1	ADJ
ejpam-3273	406	7	+	+	CCONJ
ejpam-3273	406	8	λ4	λ4	PROPN
ejpam-3273	406	9	)	)	PUNCT
ejpam-3273	406	10	(	(	PUNCT
ejpam-3273	406	11	λ2λ3	λ2λ3	X
ejpam-3273	407	1	+	+	CCONJ
ejpam-3273	407	2	d3λ24	d3λ24	VERB
ejpam-3273	407	3	+	+	ADJ
ejpam-3273	407	4	dλ2λ4	dλ2λ4	VERB
ejpam-3273	407	5	+	+	PROPN
ejpam-3273	407	6	dλ3λ4	dλ3λ4	PROPN
ejpam-3273	407	7	+	+	PROPN
ejpam-3273	407	8	d2λ2λ4	d2λ2λ4	VERB
ejpam-3273	407	9	+	+	PROPN
ejpam-3273	407	10	d2λ3λ4	d2λ3λ4	NOUN
ejpam-3273	407	11	)	)	PUNCT
ejpam-3273	407	12	=	=	SYM
ejpam-3273	407	13	0.(4	0.(4	NUM
ejpam-3273	407	14	)	)	PUNCT
ejpam-3273	407	15	here	here	ADV
ejpam-3273	407	16	,	,	PUNCT
ejpam-3273	407	17	the	the	DET
ejpam-3273	407	18	constants	constant	NOUN
ejpam-3273	407	19	are	be	AUX
ejpam-3273	407	20	f	f	PROPN
ejpam-3273	407	21	and	and	CCONJ
ejpam-3273	407	22	g	g	PROPN
ejpam-3273	407	23	are	be	AUX
ejpam-3273	407	24	given	give	VERB
ejpam-3273	407	25	by	by	ADP
ejpam-3273	407	26	f	f	PROPN
ejpam-3273	407	27	=	=	SYM
ejpam-3273	407	28	(	(	PUNCT
ejpam-3273	407	29	λ21	λ21	X
ejpam-3273	407	30	−	−	PROPN
ejpam-3273	407	31	λ24)(λ2	λ24)(λ2	PROPN
ejpam-3273	408	1	−	−	PROPN
ejpam-3273	409	1	λ4)(λ3	λ4)(λ3	ADP
ejpam-3273	409	2	−	−	PROPN
ejpam-3273	409	3	λ4	λ4	PROPN
ejpam-3273	409	4	)	)	PUNCT
ejpam-3273	409	5	,	,	PUNCT
ejpam-3273	409	6	h.	h.	PROPN
ejpam-3273	409	7	a.	a.	PROPN
ejpam-3273	409	8	haidar	haidar	PROPN
ejpam-3273	409	9	,	,	PUNCT
ejpam-3273	409	10	m.	m.	PROPN
ejpam-3273	409	11	n.	n.	PROPN
ejpam-3273	409	12	abdulrahim	abdulrahim	PROPN
ejpam-3273	409	13	/	/	SYM
ejpam-3273	409	14	eur	eur	PROPN
ejpam-3273	409	15	.	.	PUNCT
ejpam-3273	410	1	j.	j.	PROPN
ejpam-3273	410	2	pure	pure	PROPN
ejpam-3273	410	3	appl	appl	PROPN
ejpam-3273	410	4	.	.	PROPN
ejpam-3273	410	5	math	math	PROPN
ejpam-3273	410	6	,	,	PUNCT
ejpam-3273	410	7	11	11	NUM
ejpam-3273	410	8	(	(	PUNCT
ejpam-3273	410	9	3	3	NUM
ejpam-3273	410	10	)	)	PUNCT
ejpam-3273	410	11	(	(	PUNCT
ejpam-3273	410	12	2018	2018	NUM
ejpam-3273	410	13	)	)	PUNCT
ejpam-3273	410	14	,	,	PUNCT
ejpam-3273	410	15	682	682	NUM
ejpam-3273	410	16	-	-	SYM
ejpam-3273	410	17	701	701	NUM
ejpam-3273	410	18	699	699	NUM
ejpam-3273	410	19	g	g	NOUN
ejpam-3273	410	20	=	=	PUNCT
ejpam-3273	410	21	λ4[λ1	λ4[λ1	PUNCT
ejpam-3273	410	22	+	+	CCONJ
ejpam-3273	410	23	λ4	λ4	PROPN
ejpam-3273	410	24	+	+	CCONJ
ejpam-3273	410	25	j	j	PROPN
ejpam-3273	410	26	(	(	PUNCT
ejpam-3273	410	27	λ2	λ2	NOUN
ejpam-3273	410	28	+	+	CCONJ
ejpam-3273	410	29	λ3)](λ2	λ3)](λ2	ADP
ejpam-3273	410	30	−	−	NOUN
ejpam-3273	410	31	λ4)(λ3	λ4)(λ3	X
ejpam-3273	410	32	−	−	PROPN
ejpam-3273	410	33	λ4	λ4	PROPN
ejpam-3273	410	34	)	)	PUNCT
ejpam-3273	410	35	.	.	PUNCT
ejpam-3273	411	1	in	in	ADP
ejpam-3273	411	2	the	the	DET
ejpam-3273	411	3	case	case	NOUN
ejpam-3273	411	4	f	f	X
ejpam-3273	411	5	=	=	SYM
ejpam-3273	411	6	0	0	PROPN
ejpam-3273	411	7	,	,	PUNCT
ejpam-3273	411	8	we	we	PRON
ejpam-3273	411	9	get	get	VERB
ejpam-3273	411	10	λ1	λ1	ADJ
ejpam-3273	411	11	=	=	SYM
ejpam-3273	411	12	λ4	λ4	PROPN
ejpam-3273	411	13	.	.	PUNCT
ejpam-3273	412	1	let	let	VERB
ejpam-3273	412	2	us	we	PRON
ejpam-3273	412	3	substitute	substitute	VERB
ejpam-3273	412	4	λ1	λ1	NOUN
ejpam-3273	412	5	=	=	SYM
ejpam-3273	412	6	λ4	λ4	PROPN
ejpam-3273	412	7	in	in	ADP
ejpam-3273	412	8	(	(	PUNCT
ejpam-3273	412	9	4	4	NUM
ejpam-3273	412	10	)	)	PUNCT
ejpam-3273	412	11	,	,	PUNCT
ejpam-3273	412	12	we	we	PRON
ejpam-3273	412	13	getd−3λ4	getd−3λ4	PROPN
ejpam-3273	412	14	(	(	PUNCT
ejpam-3273	412	15	λ1	λ1	PROPN
ejpam-3273	412	16	+	+	CCONJ
ejpam-3273	412	17	λ4	λ4	PROPN
ejpam-3273	412	18	)	)	PUNCT
ejpam-3273	412	19	(	(	PUNCT
ejpam-3273	412	20	λ2λ3	λ2λ3	X
ejpam-3273	412	21	+	+	X
ejpam-3273	412	22	d3λ24	d3λ24	VERB
ejpam-3273	412	23	+	+	ADJ
ejpam-3273	412	24	dλ2λ4	dλ2λ4	VERB
ejpam-3273	412	25	+	+	PROPN
ejpam-3273	412	26	dλ3λ4	dλ3λ4	PROPN
ejpam-3273	412	27	+	+	PROPN
ejpam-3273	412	28	d2λ2λ4	d2λ2λ4	VERB
ejpam-3273	412	29	+	+	PROPN
ejpam-3273	412	30	d2λ3λ4	d2λ3λ4	NOUN
ejpam-3273	412	31	)	)	PUNCT
ejpam-3273	412	32	=	=	SYM
ejpam-3273	413	1	0	0	X
ejpam-3273	413	2	.	.	PUNCT
ejpam-3273	414	1	this	this	PRON
ejpam-3273	414	2	implies	imply	VERB
ejpam-3273	414	3	that	that	SCONJ
ejpam-3273	414	4	λ4(λ2λ3	λ4(λ2λ3	VERB
ejpam-3273	414	5	+	+	PROPN
ejpam-3273	414	6	d3λ24	d3λ24	VERB
ejpam-3273	414	7	+	+	ADJ
ejpam-3273	414	8	dλ2λ4	dλ2λ4	VERB
ejpam-3273	414	9	+	+	PROPN
ejpam-3273	414	10	dλ3λ4	dλ3λ4	PROPN
ejpam-3273	414	11	+	+	PROPN
ejpam-3273	414	12	d2λ2λ4	d2λ2λ4	VERB
ejpam-3273	414	13	+	+	PROPN
ejpam-3273	414	14	d2λ3λ4	d2λ3λ4	NOUN
ejpam-3273	414	15	)	)	PUNCT
ejpam-3273	414	16	=	=	SYM
ejpam-3273	414	17	0	0	X
ejpam-3273	414	18	.	.	PUNCT
ejpam-3273	415	1	but	but	CCONJ
ejpam-3273	415	2	d3	d3	PROPN
ejpam-3273	415	3	=	=	PUNCT
ejpam-3273	415	4	dλ2λ3	dλ2λ3	PROPN
ejpam-3273	415	5	λ24	λ24	VERB
ejpam-3273	415	6	,	,	PUNCT
ejpam-3273	415	7	for	for	ADP
ejpam-3273	415	8	λ1	λ1	ADJ
ejpam-3273	415	9	=	=	SYM
ejpam-3273	415	10	λ4	λ4	PROPN
ejpam-3273	415	11	.	.	PUNCT
ejpam-3273	416	1	so	so	ADV
ejpam-3273	416	2	λ2λ3	λ2λ3	PUNCT
ejpam-3273	416	3	+	+	ADP
ejpam-3273	416	4	dλ2λ3	dλ2λ3	AUX
ejpam-3273	416	5	+	+	ADJ
ejpam-3273	416	6	dλ2λ4	dλ2λ4	VERB
ejpam-3273	416	7	+	+	PROPN
ejpam-3273	416	8	dλ3λ4	dλ3λ4	PROPN
ejpam-3273	416	9	+	+	PROPN
ejpam-3273	416	10	d2λ2λ4	d2λ2λ4	VERB
ejpam-3273	416	11	+	+	NOUN
ejpam-3273	416	12	d2λ3λ4	d2λ3λ4	NOUN
ejpam-3273	416	13	=	=	SYM
ejpam-3273	416	14	0	0	X
ejpam-3273	416	15	.	.	PUNCT
ejpam-3273	417	1	then	then	ADV
ejpam-3273	417	2	(	(	PUNCT
ejpam-3273	417	3	d	d	NOUN
ejpam-3273	417	4	+	+	CCONJ
ejpam-3273	417	5	1)(λ2λ3	1)(λ2λ3	NUM
ejpam-3273	417	6	+	+	ADJ
ejpam-3273	417	7	dλ2λ4	dλ2λ4	VERB
ejpam-3273	417	8	+	+	PROPN
ejpam-3273	417	9	dλ3λ4	dλ3λ4	NOUN
ejpam-3273	417	10	)	)	PUNCT
ejpam-3273	417	11	=	=	SYM
ejpam-3273	417	12	0	0	X
ejpam-3273	417	13	.	.	PUNCT
ejpam-3273	418	1	hence	hence	ADV
ejpam-3273	418	2	λ2λ3	λ2λ3	PUNCT
ejpam-3273	418	3	+	+	ADJ
ejpam-3273	418	4	dλ2λ4	dλ2λ4	VERB
ejpam-3273	418	5	+	+	PROPN
ejpam-3273	418	6	dλ3λ4	dλ3λ4	NOUN
ejpam-3273	418	7	=	=	SYM
ejpam-3273	418	8	0	0	X
ejpam-3273	418	9	.	.	PUNCT
ejpam-3273	419	1	this	this	PRON
ejpam-3273	419	2	implies	imply	VERB
ejpam-3273	419	3	that	that	SCONJ
ejpam-3273	419	4	d−1λ2λ3	d−1λ2λ3	NOUN
ejpam-3273	419	5	+	+	X
ejpam-3273	419	6	λ2λ4	λ2λ4	PUNCT
ejpam-3273	419	7	+	+	NUM
ejpam-3273	419	8	λ3λ4	λ3λ4	X
ejpam-3273	419	9	=	=	NOUN
ejpam-3273	419	10	0	0	X
ejpam-3273	419	11	.	.	PUNCT
ejpam-3273	420	1	it	it	PRON
ejpam-3273	420	2	follows	follow	VERB
ejpam-3273	420	3	that	that	SCONJ
ejpam-3273	420	4	γ2	γ2	PROPN
ejpam-3273	421	1	+	+	CCONJ
ejpam-3273	421	2	λ2λ4	λ2λ4	PUNCT
ejpam-3273	422	1	+	+	NUM
ejpam-3273	422	2	λ3λ4	λ3λ4	NOUN
ejpam-3273	422	3	=	=	SYM
ejpam-3273	422	4	0	0	NUM
ejpam-3273	422	5	,	,	PUNCT
ejpam-3273	422	6	a	a	DET
ejpam-3273	422	7	contradiction	contradiction	NOUN
ejpam-3273	422	8	.	.	PUNCT
ejpam-3273	423	1	thus	thus	ADV
ejpam-3273	423	2	f	f	PROPN
ejpam-3273	423	3	6=	6=	PROPN
ejpam-3273	423	4	0	0	NUM
ejpam-3273	423	5	.	.	PUNCT
ejpam-3273	424	1	now	now	ADV
ejpam-3273	424	2	,	,	PUNCT
ejpam-3273	424	3	(	(	PUNCT
ejpam-3273	424	4	4	4	X
ejpam-3273	424	5	)	)	PUNCT
ejpam-3273	424	6	implies	imply	VERB
ejpam-3273	424	7	that	that	SCONJ
ejpam-3273	424	8	α	α	PROPN
ejpam-3273	424	9	=	=	SYM
ejpam-3273	424	10	λ4(λ2λ3+d3λ24+dλ2λ4+dλ3λ4+d	λ4(λ2λ3+d3λ24+dλ2λ4+dλ3λ4+d	PROPN
ejpam-3273	424	11	2λ2λ4+d2λ3λ4	2λ2λ4+d2λ3λ4	NUM
ejpam-3273	424	12	)	)	PUNCT
ejpam-3273	424	13	d3(λ1−λ4)(λ2−λ4)(λ4−λ3	d3(λ1−λ4)(λ2−λ4)(λ4−λ3	NOUN
ejpam-3273	424	14	)	)	PUNCT
ejpam-3273	424	15	.	.	PUNCT
ejpam-3273	425	1	on	on	ADP
ejpam-3273	425	2	the	the	DET
ejpam-3273	425	3	other	other	ADJ
ejpam-3273	425	4	hand	hand	NOUN
ejpam-3273	425	5	,	,	PUNCT
ejpam-3273	425	6	a23(αe1	a23(αe1	PROPN
ejpam-3273	425	7	+	+	CCONJ
ejpam-3273	425	8	βe2	βe2	X
ejpam-3273	426	1	+	+	CCONJ
ejpam-3273	426	2	δe3	δe3	NOUN
ejpam-3273	426	3	+	+	CCONJ
ejpam-3273	426	4	e4)−	e4)−	X
ejpam-3273	426	5	λ24(αe1	λ24(αe1	X
ejpam-3273	426	6	+	+	CCONJ
ejpam-3273	426	7	βe2	βe2	X
ejpam-3273	426	8	+	+	CCONJ
ejpam-3273	426	9	δe3	δe3	NOUN
ejpam-3273	426	10	+	+	CCONJ
ejpam-3273	426	11	e4	e4	PROPN
ejpam-3273	426	12	)	)	PUNCT
ejpam-3273	426	13	∈	∈	PROPN
ejpam-3273	426	14	s.	s.	PROPN
ejpam-3273	426	15	then	then	ADV
ejpam-3273	426	16			PROPN
ejpam-3273	426	17	0	0	NUM
ejpam-3273	426	18	r2	r2	PROPN
ejpam-3273	426	19	r3	r3	PROPN
ejpam-3273	426	20	r4	r4	PROPN
ejpam-3273	426	21			NOUN
ejpam-3273	426	22	∈	∈	PROPN
ejpam-3273	426	23	s.	s.	PROPN
ejpam-3273	426	24	here	here	ADV
ejpam-3273	426	25	,	,	PUNCT
ejpam-3273	426	26	the	the	DET
ejpam-3273	426	27	constants	constant	NOUN
ejpam-3273	426	28	are	be	AUX
ejpam-3273	426	29	given	give	VERB
ejpam-3273	426	30	by	by	ADP
ejpam-3273	426	31	r2	r2	PROPN
ejpam-3273	426	32	=	=	SYM
ejpam-3273	426	33	−αλ3	−αλ3	PROPN
ejpam-3273	426	34	(	(	PUNCT
ejpam-3273	426	35	λ3	λ3	PROPN
ejpam-3273	426	36	+	+	PROPN
ejpam-3273	426	37	λ4	λ4	ADJ
ejpam-3273	426	38	)	)	PUNCT
ejpam-3273	427	1	+	+	CCONJ
ejpam-3273	427	2	β(λ23	β(λ23	NOUN
ejpam-3273	427	3	−	−	PROPN
ejpam-3273	427	4	λ24	λ24	PROPN
ejpam-3273	427	5	)	)	PUNCT
ejpam-3273	427	6	,	,	PUNCT
ejpam-3273	427	7	r3	r3	PROPN
ejpam-3273	427	8	=	=	SYM
ejpam-3273	428	1	αλ2[dλ4	αλ2[dλ4	NOUN
ejpam-3273	428	2	+	+	CCONJ
ejpam-3273	428	3	(	(	PUNCT
ejpam-3273	428	4	d	d	X
ejpam-3273	428	5	+	+	NOUN
ejpam-3273	428	6	1)λ3	1)λ3	NUM
ejpam-3273	429	1	+	+	NOUN
ejpam-3273	429	2	dλ2]−	dλ2]−	NOUN
ejpam-3273	429	3	β(d	β(d	PROPN
ejpam-3273	429	4	+	+	CCONJ
ejpam-3273	429	5	1)λ2	1)λ2	NUM
ejpam-3273	429	6	(	(	PUNCT
ejpam-3273	429	7	λ2	λ2	NOUN
ejpam-3273	429	8	+	+	CCONJ
ejpam-3273	429	9	λ3	λ3	PROPN
ejpam-3273	429	10	)	)	PUNCT
ejpam-3273	429	11	+	+	NUM
ejpam-3273	429	12	δ(λ22	δ(λ22	NOUN
ejpam-3273	429	13	−	−	PROPN
ejpam-3273	429	14	λ24	λ24	NOUN
ejpam-3273	429	15	)	)	PUNCT
ejpam-3273	429	16	,	,	PUNCT
ejpam-3273	429	17	r4	r4	NOUN
ejpam-3273	429	18	=	=	SYM
ejpam-3273	429	19	αl+	αl+	NOUN
ejpam-3273	429	20	βk	βk	ADP
ejpam-3273	430	1	+	+	CCONJ
ejpam-3273	430	2	δm	δm	PROPN
ejpam-3273	430	3	+	+	ADJ
ejpam-3273	430	4	λ21	λ21	PROPN
ejpam-3273	430	5	−	−	PROPN
ejpam-3273	430	6	λ24	λ24	PROPN
ejpam-3273	430	7	.	.	PUNCT
ejpam-3273	431	1	if	if	SCONJ
ejpam-3273	431	2	r2	r2	PROPN
ejpam-3273	431	3	6=	6=	PRON
ejpam-3273	431	4	0	0	NUM
ejpam-3273	431	5	or	or	CCONJ
ejpam-3273	431	6	r3	r3	PROPN
ejpam-3273	431	7	6=	6=	ADP
ejpam-3273	431	8	0	0	NUM
ejpam-3273	431	9	or	or	CCONJ
ejpam-3273	431	10	r4	r4	VERB
ejpam-3273	431	11	6=	6=	PRON
ejpam-3273	431	12	0	0	NUM
ejpam-3273	431	13	then	then	ADV
ejpam-3273	431	14	we	we	PRON
ejpam-3273	431	15	get	get	VERB
ejpam-3273	431	16	a	a	DET
ejpam-3273	431	17	contradiction	contradiction	NOUN
ejpam-3273	431	18	(	(	PUNCT
ejpam-3273	431	19	case	case	NOUN
ejpam-3273	431	20	2	2	NUM
ejpam-3273	431	21	,	,	PUNCT
ejpam-3273	431	22	case	case	NOUN
ejpam-3273	431	23	3	3	NUM
ejpam-3273	431	24	,	,	PUNCT
ejpam-3273	431	25	case	case	NOUN
ejpam-3273	431	26	4	4	NUM
ejpam-3273	431	27	,	,	PUNCT
ejpam-3273	431	28	case	case	NOUN
ejpam-3273	431	29	7	7	NUM
ejpam-3273	431	30	,	,	PUNCT
ejpam-3273	431	31	case	case	NOUN
ejpam-3273	431	32	9	9	NUM
ejpam-3273	431	33	,	,	PUNCT
ejpam-3273	431	34	case	case	NOUN
ejpam-3273	431	35	10	10	NUM
ejpam-3273	431	36	,	,	PUNCT
ejpam-3273	431	37	and	and	CCONJ
ejpam-3273	431	38	case	case	NOUN
ejpam-3273	431	39	12	12	NUM
ejpam-3273	431	40	)	)	PUNCT
ejpam-3273	431	41	.	.	PUNCT
ejpam-3273	432	1	otherwise	otherwise	ADV
ejpam-3273	432	2	,	,	PUNCT
ejpam-3273	432	3	if	if	SCONJ
ejpam-3273	432	4	r2	r2	PROPN
ejpam-3273	432	5	=	=	NOUN
ejpam-3273	432	6	0	0	PUNCT
ejpam-3273	432	7	then	then	ADV
ejpam-3273	432	8	−αλ3	−αλ3	PRON
ejpam-3273	432	9	+	+	NUM
ejpam-3273	432	10	β(λ3	β(λ3	NOUN
ejpam-3273	432	11	−	−	X
ejpam-3273	432	12	λ4	λ4	PROPN
ejpam-3273	432	13	)	)	PUNCT
ejpam-3273	433	1	=	=	PUNCT
ejpam-3273	433	2	0	0	X
ejpam-3273	433	3	.	.	PUNCT
ejpam-3273	434	1	hence	hence	ADV
ejpam-3273	434	2	α	α	NOUN
ejpam-3273	434	3	=	=	SYM
ejpam-3273	434	4	β(λ3−λ4	β(λ3−λ4	PROPN
ejpam-3273	434	5	)	)	PUNCT
ejpam-3273	434	6	λ3	λ3	PROPN
ejpam-3273	434	7	,	,	PUNCT
ejpam-3273	434	8	and	and	CCONJ
ejpam-3273	434	9	we	we	PRON
ejpam-3273	434	10	have	have	VERB
ejpam-3273	434	11	β	β	X
ejpam-3273	434	12	=	=	SYM
ejpam-3273	434	13	λ4(λ4+λ3d−1	λ4(λ4+λ3d−1	PROPN
ejpam-3273	434	14	)	)	PUNCT
ejpam-3273	434	15	(	(	PUNCT
ejpam-3273	434	16	λ2−λ4)(λ3−λ4	λ2−λ4)(λ3−λ4	PROPN
ejpam-3273	434	17	)	)	PUNCT
ejpam-3273	434	18	.	.	PUNCT
ejpam-3273	435	1	thus	thus	ADV
ejpam-3273	435	2	α	α	X
ejpam-3273	435	3	=	=	SYM
ejpam-3273	435	4	λ4(λ4+λ3d−1	λ4(λ4+λ3d−1	NOUN
ejpam-3273	435	5	)	)	PUNCT
ejpam-3273	435	6	λ3(λ2−λ4	λ3(λ2−λ4	NUM
ejpam-3273	435	7	)	)	PUNCT
ejpam-3273	435	8	.	.	PUNCT
ejpam-3273	436	1	also	also	ADV
ejpam-3273	436	2	,	,	PUNCT
ejpam-3273	436	3	α	α	PROPN
ejpam-3273	436	4	=	=	SYM
ejpam-3273	436	5	λ4(λ2λ3+d3λ24+dλ2λ4+dλ3λ4+d	λ4(λ2λ3+d3λ24+dλ2λ4+dλ3λ4+d	PROPN
ejpam-3273	436	6	2λ2λ4+d2λ3λ4	2λ2λ4+d2λ3λ4	NUM
ejpam-3273	436	7	)	)	PUNCT
ejpam-3273	436	8	d3(λ1−λ4)(λ2−λ4)(λ4−λ3	d3(λ1−λ4)(λ2−λ4)(λ4−λ3	NOUN
ejpam-3273	436	9	)	)	PUNCT
ejpam-3273	436	10	.	.	PUNCT
ejpam-3273	437	1	h.	h.	PROPN
ejpam-3273	437	2	a.	a.	PROPN
ejpam-3273	437	3	haidar	haidar	PROPN
ejpam-3273	437	4	,	,	PUNCT
ejpam-3273	437	5	m.	m.	PROPN
ejpam-3273	437	6	n.	n.	PROPN
ejpam-3273	437	7	abdulrahim	abdulrahim	PROPN
ejpam-3273	437	8	/	/	SYM
ejpam-3273	437	9	eur	eur	PROPN
ejpam-3273	437	10	.	.	PUNCT
ejpam-3273	438	1	j.	j.	PROPN
ejpam-3273	438	2	pure	pure	PROPN
ejpam-3273	438	3	appl	appl	PROPN
ejpam-3273	438	4	.	.	PROPN
ejpam-3273	438	5	math	math	PROPN
ejpam-3273	438	6	,	,	PUNCT
ejpam-3273	438	7	11	11	NUM
ejpam-3273	438	8	(	(	PUNCT
ejpam-3273	438	9	3	3	NUM
ejpam-3273	438	10	)	)	PUNCT
ejpam-3273	438	11	(	(	PUNCT
ejpam-3273	438	12	2018	2018	NUM
ejpam-3273	438	13	)	)	PUNCT
ejpam-3273	438	14	,	,	PUNCT
ejpam-3273	438	15	682	682	NUM
ejpam-3273	438	16	-	-	SYM
ejpam-3273	438	17	701	701	NUM
ejpam-3273	438	18	700	700	NUM
ejpam-3273	438	19	so	so	SCONJ
ejpam-3273	438	20	−λ4(λ2λ3+d3λ24+dλ2λ4+dλ3λ4+d	−λ4(λ2λ3+d3λ24+dλ2λ4+dλ3λ4+d	NOUN
ejpam-3273	438	21	2λ2λ4+d2λ3λ4	2λ2λ4+d2λ3λ4	NUM
ejpam-3273	438	22	)	)	PUNCT
ejpam-3273	438	23	d3(λ1−λ4)(λ2−λ4)(λ4−λ3	d3(λ1−λ4)(λ2−λ4)(λ4−λ3	NOUN
ejpam-3273	438	24	)	)	PUNCT
ejpam-3273	439	1	+	+	CCONJ
ejpam-3273	439	2	λ4(λ4+λ3d−1	λ4(λ4+λ3d−1	NOUN
ejpam-3273	439	3	)	)	PUNCT
ejpam-3273	439	4	λ3(λ2−λ4	λ3(λ2−λ4	NUM
ejpam-3273	439	5	)	)	PUNCT
ejpam-3273	440	1	=	=	SYM
ejpam-3273	440	2	0	0	X
ejpam-3273	440	3	.	.	PUNCT
ejpam-3273	441	1	this	this	PRON
ejpam-3273	441	2	implies	imply	VERB
ejpam-3273	441	3	that	that	SCONJ
ejpam-3273	441	4	λ2λ23+d	λ2λ23+d	PROPN
ejpam-3273	441	5	3λ34+d	3λ34+d	NUM
ejpam-3273	441	6	2λ1λ23−d3λ1λ24+d	2λ1λ23−d3λ1λ24+d	NUM
ejpam-3273	441	7	2λ3λ24+dλ	2λ3λ24+dλ	NUM
ejpam-3273	441	8	2	2	NUM
ejpam-3273	441	9	3λ4−d2λ1λ3λ4+d3λ1λ3λ4+(d+1)dλ2λ3λ4	3λ4−d2λ1λ3λ4+d3λ1λ3λ4+(d+1)dλ2λ3λ4	NUM
ejpam-3273	441	10	d3λ3(λ1−λ4)(λ2−λ4)(λ3−λ4	d3λ3(λ1−λ4)(λ2−λ4)(λ3−λ4	NOUN
ejpam-3273	441	11	)	)	PUNCT
ejpam-3273	441	12	=	=	SYM
ejpam-3273	442	1	0	0	X
ejpam-3273	442	2	.	.	PUNCT
ejpam-3273	443	1	it	it	PRON
ejpam-3273	443	2	’s	’	VERB
ejpam-3273	443	3	easy	easy	ADJ
ejpam-3273	443	4	to	to	PART
ejpam-3273	443	5	see	see	VERB
ejpam-3273	443	6	that	that	PRON
ejpam-3273	443	7	,	,	PUNCT
ejpam-3273	443	8	λ2λ	λ2λ	NOUN
ejpam-3273	443	9	2	2	NUM
ejpam-3273	443	10	3	3	NUM
ejpam-3273	443	11	−d2λ1λ3λ4	−d2λ1λ3λ4	NOUN
ejpam-3273	443	12	,	,	PUNCT
ejpam-3273	443	13	so	so	SCONJ
ejpam-3273	443	14	we	we	PRON
ejpam-3273	443	15	get	get	VERB
ejpam-3273	443	16	h	h	NOUN
ejpam-3273	443	17	=	=	NOUN
ejpam-3273	443	18	0	0	NUM
ejpam-3273	443	19	,	,	PUNCT
ejpam-3273	443	20	where	where	SCONJ
ejpam-3273	443	21	h	h	NOUN
ejpam-3273	443	22	=	=	PUNCT
ejpam-3273	444	1	d3λ34	d3λ34	ADV
ejpam-3273	445	1	+	+	PROPN
ejpam-3273	445	2	d2λ1λ	d2λ1λ	X
ejpam-3273	445	3	2	2	NUM
ejpam-3273	445	4	3	3	NUM
ejpam-3273	445	5	−d3λ1λ	−d3λ1λ	NOUN
ejpam-3273	445	6	2	2	NUM
ejpam-3273	445	7	4	4	NUM
ejpam-3273	445	8	+	+	NOUN
ejpam-3273	445	9	d2λ3λ	d2λ3λ	NUM
ejpam-3273	445	10	2	2	NUM
ejpam-3273	445	11	4	4	NUM
ejpam-3273	445	12	+	+	PROPN
ejpam-3273	445	13	dλ23λ4	dλ23λ4	PROPN
ejpam-3273	445	14	+	+	PROPN
ejpam-3273	445	15	d3λ1λ3λ4	d3λ1λ3λ4	PROPN
ejpam-3273	445	16	+	+	CCONJ
ejpam-3273	445	17	(	(	PUNCT
ejpam-3273	445	18	d	d	PROPN
ejpam-3273	445	19	+	+	X
ejpam-3273	445	20	1)dλ2λ3λ4	1)dλ2λ3λ4	NUM
ejpam-3273	445	21	.	.	PUNCT
ejpam-3273	446	1	now	now	ADV
ejpam-3273	446	2	,	,	PUNCT
ejpam-3273	446	3	we	we	PRON
ejpam-3273	446	4	multiply	multiply	VERB
ejpam-3273	446	5	the	the	DET
ejpam-3273	446	6	equation	equation	NOUN
ejpam-3273	446	7	h	h	NOUN
ejpam-3273	447	1	=	=	NOUN
ejpam-3273	447	2	0	0	NUM
ejpam-3273	447	3	by	by	ADP
ejpam-3273	447	4	λ1λ4	λ1λ4	PROPN
ejpam-3273	447	5	d	d	NOUN
ejpam-3273	447	6	,	,	PUNCT
ejpam-3273	447	7	we	we	PRON
ejpam-3273	447	8	get	get	VERB
ejpam-3273	447	9	λ2λ3λ	λ2λ3λ	PUNCT
ejpam-3273	447	10	3	3	NUM
ejpam-3273	447	11	4	4	NUM
ejpam-3273	447	12	+	+	CCONJ
ejpam-3273	447	13	λ1λ	λ1λ	PROPN
ejpam-3273	447	14	2	2	NUM
ejpam-3273	447	15	3γ	3γ	NUM
ejpam-3273	447	16	2	2	NUM
ejpam-3273	447	17	−	−	NOUN
ejpam-3273	448	1	λ4γ4	λ4γ4	NOUN
ejpam-3273	448	2	+	+	NUM
ejpam-3273	448	3	λ3λ	λ3λ	NOUN
ejpam-3273	448	4	2	2	NUM
ejpam-3273	448	5	4γ	4γ	NOUN
ejpam-3273	448	6	2	2	NUM
ejpam-3273	448	7	+	+	CCONJ
ejpam-3273	448	8	λ1λ	λ1λ	PROPN
ejpam-3273	448	9	2	2	NUM
ejpam-3273	448	10	3λ	3λ	NUM
ejpam-3273	448	11	2	2	NUM
ejpam-3273	448	12	4	4	NUM
ejpam-3273	448	13	+	+	CCONJ
ejpam-3273	448	14	λ3γ	λ3γ	PROPN
ejpam-3273	448	15	4	4	NUM
ejpam-3273	448	16	+	+	CCONJ
ejpam-3273	448	17	λ2λ3λ4γ	λ2λ3λ4γ	PROPN
ejpam-3273	448	18	2	2	NUM
ejpam-3273	448	19	+	+	CCONJ
ejpam-3273	448	20	λ4γ	λ4γ	X
ejpam-3273	448	21	4	4	NUM
ejpam-3273	448	22	=	=	SYM
ejpam-3273	448	23	0	0	NUM
ejpam-3273	448	24	.	.	PUNCT
ejpam-3273	449	1	hence	hence	ADV
ejpam-3273	449	2	λ3(γ	λ3(γ	X
ejpam-3273	449	3	2	2	NUM
ejpam-3273	449	4	+	+	CCONJ
ejpam-3273	449	5	λ24)(γ	λ24)(γ	NOUN
ejpam-3273	449	6	2	2	NUM
ejpam-3273	449	7	+	+	CCONJ
ejpam-3273	449	8	λ1λ3	λ1λ3	X
ejpam-3273	449	9	+	+	NUM
ejpam-3273	449	10	λ2λ4	λ2λ4	X
ejpam-3273	449	11	)	)	PUNCT
ejpam-3273	449	12	=	=	SYM
ejpam-3273	449	13	0	0	NUM
ejpam-3273	449	14	,	,	PUNCT
ejpam-3273	449	15	a	a	DET
ejpam-3273	449	16	contradiction	contradiction	NOUN
ejpam-3273	449	17	.	.	PUNCT
ejpam-3273	450	1	therefore	therefore	ADV
ejpam-3273	450	2	,	,	PUNCT
ejpam-3273	450	3	there	there	PRON
ejpam-3273	450	4	is	be	VERB
ejpam-3273	450	5	no	no	DET
ejpam-3273	450	6	non	non	ADJ
ejpam-3273	450	7	-	-	ADJ
ejpam-3273	450	8	zero	zero	ADJ
ejpam-3273	450	9	invariant	invariant	ADJ
ejpam-3273	450	10	proper	proper	ADJ
ejpam-3273	450	11	subspace	subspace	NOUN
ejpam-3273	450	12	.	.	PUNCT
ejpam-3273	451	1	this	this	PRON
ejpam-3273	451	2	implies	imply	VERB
ejpam-3273	451	3	that	that	SCONJ
ejpam-3273	451	4	we	we	PRON
ejpam-3273	451	5	have	have	AUX
ejpam-3273	451	6	determined	determine	VERB
ejpam-3273	451	7	sufficient	sufficient	ADJ
ejpam-3273	451	8	condition	condition	NOUN
ejpam-3273	451	9	under	under	ADP
ejpam-3273	451	10	which	which	PRON
ejpam-3273	451	11	the	the	DET
ejpam-3273	451	12	representation	representation	NOUN
ejpam-3273	451	13	ϕ	ϕ	NOUN
ejpam-3273	451	14	:	:	PUNCT
ejpam-3273	451	15	p3	p3	VERB
ejpam-3273	451	16	−→	−→	ADJ
ejpam-3273	451	17	gl4(c	gl4(c	NOUN
ejpam-3273	451	18	)	)	PUNCT
ejpam-3273	451	19	is	be	AUX
ejpam-3273	451	20	irreducible	irreducible	ADJ
ejpam-3273	451	21	.	.	PUNCT
ejpam-3273	452	1	if	if	SCONJ
ejpam-3273	452	2	we	we	PRON
ejpam-3273	452	3	require	require	VERB
ejpam-3273	452	4	further	far	ADV
ejpam-3273	452	5	the	the	DET
ejpam-3273	452	6	conditions	condition	NOUN
ejpam-3273	452	7	λ1	λ1	X
ejpam-3273	452	8	=	=	SYM
ejpam-3273	452	9	λ3	λ3	PROPN
ejpam-3273	452	10	and	and	CCONJ
ejpam-3273	452	11	λ2	λ2	PROPN
ejpam-3273	452	12	=	=	SYM
ejpam-3273	452	13	λ4	λ4	PROPN
ejpam-3273	452	14	,	,	PUNCT
ejpam-3273	452	15	we	we	PRON
ejpam-3273	452	16	get	get	VERB
ejpam-3273	452	17	a	a	DET
ejpam-3273	452	18	necessary	necessary	ADJ
ejpam-3273	452	19	and	and	CCONJ
ejpam-3273	452	20	sufficient	sufficient	ADJ
ejpam-3273	452	21	condition	condition	NOUN
ejpam-3273	452	22	for	for	ADP
ejpam-3273	452	23	the	the	DET
ejpam-3273	452	24	irreducibility	irreducibility	NOUN
ejpam-3273	452	25	of	of	ADP
ejpam-3273	452	26	ϕ	ϕ	NOUN
ejpam-3273	452	27	:	:	PUNCT
ejpam-3273	452	28	p3	p3	PROPN
ejpam-3273	452	29	−→	−→	ADJ
ejpam-3273	452	30	gl4(c	gl4(c	NOUN
ejpam-3273	452	31	)	)	PUNCT
ejpam-3273	452	32	.	.	PUNCT
ejpam-3273	453	1	corollary	corollary	ADJ
ejpam-3273	453	2	1	1	NUM
ejpam-3273	453	3	.	.	PUNCT
ejpam-3273	454	1	let	let	VERB
ejpam-3273	454	2	ϕ	ϕ	NOUN
ejpam-3273	454	3	:	:	PUNCT
ejpam-3273	454	4	p3	p3	VERB
ejpam-3273	454	5	−→	−→	ADJ
ejpam-3273	454	6	gl4(c	gl4(c	NOUN
ejpam-3273	454	7	)	)	PUNCT
ejpam-3273	454	8	be	be	VERB
ejpam-3273	454	9	the	the	DET
ejpam-3273	454	10	complex	complex	ADJ
ejpam-3273	454	11	specialization	specialization	NOUN
ejpam-3273	454	12	of	of	ADP
ejpam-3273	454	13	tuba	tuba	PROPN
ejpam-3273	454	14	’s	’s	PART
ejpam-3273	454	15	representation	representation	NOUN
ejpam-3273	454	16	of	of	ADP
ejpam-3273	454	17	the	the	DET
ejpam-3273	454	18	pure	pure	ADJ
ejpam-3273	454	19	braid	braid	PROPN
ejpam-3273	454	20	group	group	PROPN
ejpam-3273	454	21	p3	p3	PROPN
ejpam-3273	454	22	.	.	PUNCT
ejpam-3273	455	1	assume	assume	VERB
ejpam-3273	455	2	that	that	SCONJ
ejpam-3273	455	3	λ1	λ1	PROPN
ejpam-3273	455	4	=	=	SYM
ejpam-3273	455	5	λ3	λ3	PROPN
ejpam-3273	455	6	,	,	PUNCT
ejpam-3273	455	7	λ2	λ2	NOUN
ejpam-3273	455	8	=	=	SYM
ejpam-3273	455	9	λ4	λ4	PROPN
ejpam-3273	455	10	and	and	CCONJ
ejpam-3273	455	11	λ1	λ1	PROPN
ejpam-3273	455	12	6=	6=	NUM
ejpam-3273	455	13	−λ2	−λ2	NOUN
ejpam-3273	455	14	.	.	PUNCT
ejpam-3273	456	1	then	then	ADV
ejpam-3273	456	2	ϕ	ϕ	PROPN
ejpam-3273	456	3	is	be	AUX
ejpam-3273	456	4	irreducible	irreducible	ADJ
ejpam-3273	456	5	if	if	SCONJ
ejpam-3273	456	6	and	and	CCONJ
ejpam-3273	456	7	only	only	ADV
ejpam-3273	456	8	if	if	SCONJ
ejpam-3273	456	9	(	(	PUNCT
ejpam-3273	456	10	γ2	γ2	NOUN
ejpam-3273	456	11	+	+	PROPN
ejpam-3273	456	12	λ2r)(γ	λ2r)(γ	PROPN
ejpam-3273	456	13	2	2	NUM
ejpam-3273	456	14	+	+	CCONJ
ejpam-3273	456	15	λrλl	λrλl	NOUN
ejpam-3273	456	16	+	+	CCONJ
ejpam-3273	456	17	λsλk	λsλk	NOUN
ejpam-3273	456	18	)	)	PUNCT
ejpam-3273	456	19	6=	6=	ADP
ejpam-3273	456	20	0	0	NUM
ejpam-3273	456	21	,	,	PUNCT
ejpam-3273	456	22	where	where	SCONJ
ejpam-3273	456	23	{	{	PUNCT
ejpam-3273	456	24	r	r	NOUN
ejpam-3273	456	25	,	,	PUNCT
ejpam-3273	456	26	s	s	NOUN
ejpam-3273	456	27	,	,	PUNCT
ejpam-3273	456	28	l	l	NOUN
ejpam-3273	456	29	,	,	PUNCT
ejpam-3273	456	30	k	k	NOUN
ejpam-3273	456	31	}	}	PUNCT
ejpam-3273	456	32	=	=	SYM
ejpam-3273	456	33	{	{	PUNCT
ejpam-3273	456	34	1	1	NUM
ejpam-3273	456	35	,	,	PUNCT
ejpam-3273	456	36	2	2	NUM
ejpam-3273	456	37	,	,	PUNCT
ejpam-3273	456	38	3	3	NUM
ejpam-3273	456	39	,	,	PUNCT
ejpam-3273	456	40	4	4	NUM
ejpam-3273	456	41	}	}	PUNCT
ejpam-3273	456	42	.	.	PUNCT
ejpam-3273	457	1	proof	proof	NOUN
ejpam-3273	457	2	.	.	PUNCT
ejpam-3273	458	1	let	let	VERB
ejpam-3273	458	2	us	we	PRON
ejpam-3273	458	3	show	show	VERB
ejpam-3273	458	4	that	that	SCONJ
ejpam-3273	458	5	if	if	SCONJ
ejpam-3273	458	6	(	(	PUNCT
ejpam-3273	458	7	γ2+λ2r)(γ	γ2+λ2r)(γ	NOUN
ejpam-3273	458	8	2+λrλl+λsλk	2+λrλl+λsλk	NUM
ejpam-3273	458	9	)	)	PUNCT
ejpam-3273	458	10	=	=	SYM
ejpam-3273	458	11	0	0	NUM
ejpam-3273	458	12	,	,	PUNCT
ejpam-3273	458	13	where	where	SCONJ
ejpam-3273	458	14	{	{	PUNCT
ejpam-3273	458	15	r	r	NOUN
ejpam-3273	458	16	,	,	PUNCT
ejpam-3273	458	17	s	s	NOUN
ejpam-3273	458	18	,	,	PUNCT
ejpam-3273	458	19	l	l	NOUN
ejpam-3273	458	20	,	,	PUNCT
ejpam-3273	458	21	k	k	NOUN
ejpam-3273	458	22	}	}	PUNCT
ejpam-3273	458	23	=	=	SYM
ejpam-3273	458	24	{	{	PUNCT
ejpam-3273	458	25	1	1	NUM
ejpam-3273	458	26	,	,	PUNCT
ejpam-3273	458	27	2	2	NUM
ejpam-3273	458	28	,	,	PUNCT
ejpam-3273	458	29	3	3	NUM
ejpam-3273	458	30	,	,	PUNCT
ejpam-3273	458	31	4	4	NUM
ejpam-3273	458	32	}	}	PUNCT
ejpam-3273	458	33	,	,	PUNCT
ejpam-3273	458	34	then	then	ADV
ejpam-3273	458	35	the	the	DET
ejpam-3273	458	36	representation	representation	NOUN
ejpam-3273	458	37	ϕ	ϕ	NOUN
ejpam-3273	458	38	is	be	AUX
ejpam-3273	458	39	reducible	reducible	ADJ
ejpam-3273	458	40	.	.	PUNCT
ejpam-3273	458	41	assume	assume	VERB
ejpam-3273	458	42	that	that	SCONJ
ejpam-3273	458	43	(	(	PUNCT
ejpam-3273	458	44	γ2	γ2	NOUN
ejpam-3273	458	45	+	+	PROPN
ejpam-3273	458	46	λ2r)(γ	λ2r)(γ	PROPN
ejpam-3273	458	47	2	2	NUM
ejpam-3273	458	48	+	+	CCONJ
ejpam-3273	458	49	λrλl	λrλl	NOUN
ejpam-3273	458	50	+	+	CCONJ
ejpam-3273	458	51	λsλk	λsλk	ADJ
ejpam-3273	458	52	)	)	PUNCT
ejpam-3273	458	53	=	=	SYM
ejpam-3273	458	54	0	0	NUM
ejpam-3273	458	55	,	,	PUNCT
ejpam-3273	458	56	where	where	SCONJ
ejpam-3273	458	57	{	{	PUNCT
ejpam-3273	458	58	r	r	NOUN
ejpam-3273	458	59	,	,	PUNCT
ejpam-3273	458	60	s	s	NOUN
ejpam-3273	458	61	,	,	PUNCT
ejpam-3273	458	62	l	l	NOUN
ejpam-3273	458	63	,	,	PUNCT
ejpam-3273	458	64	k	k	NOUN
ejpam-3273	458	65	}	}	PUNCT
ejpam-3273	458	66	=	=	SYM
ejpam-3273	458	67	{	{	PUNCT
ejpam-3273	458	68	1	1	NUM
ejpam-3273	458	69	,	,	PUNCT
ejpam-3273	458	70	2	2	NUM
ejpam-3273	458	71	,	,	PUNCT
ejpam-3273	458	72	3	3	NUM
ejpam-3273	458	73	,	,	PUNCT
ejpam-3273	458	74	4	4	NUM
ejpam-3273	458	75	}	}	PUNCT
ejpam-3273	458	76	,	,	PUNCT
ejpam-3273	458	77	then	then	ADV
ejpam-3273	458	78	the	the	DET
ejpam-3273	458	79	reducibility	reducibility	NOUN
ejpam-3273	458	80	on	on	ADP
ejpam-3273	458	81	p3	p3	PROPN
ejpam-3273	458	82	follows	follow	VERB
ejpam-3273	458	83	from	from	ADP
ejpam-3273	458	84	reducibility	reducibility	NOUN
ejpam-3273	458	85	on	on	ADP
ejpam-3273	458	86	b3	b3	PROPN
ejpam-3273	458	87	(	(	PUNCT
ejpam-3273	458	88	see	see	VERB
ejpam-3273	458	89	proposition	proposition	NOUN
ejpam-3273	458	90	6	6	NUM
ejpam-3273	458	91	)	)	PUNCT
ejpam-3273	458	92	.	.	PUNCT
ejpam-3273	459	1	now	now	ADV
ejpam-3273	459	2	,	,	PUNCT
ejpam-3273	459	3	let	let	VERB
ejpam-3273	459	4	us	we	PRON
ejpam-3273	459	5	show	show	VERB
ejpam-3273	459	6	that	that	SCONJ
ejpam-3273	459	7	if	if	SCONJ
ejpam-3273	459	8	(	(	PUNCT
ejpam-3273	459	9	γ2	γ2	NOUN
ejpam-3273	459	10	+	+	PROPN
ejpam-3273	459	11	λ2r)(γ	λ2r)(γ	PROPN
ejpam-3273	459	12	2	2	NUM
ejpam-3273	459	13	+	+	CCONJ
ejpam-3273	459	14	λrλl	λrλl	NOUN
ejpam-3273	459	15	+	+	CCONJ
ejpam-3273	459	16	λsλk	λsλk	NOUN
ejpam-3273	459	17	)	)	PUNCT
ejpam-3273	459	18	6=	6=	ADP
ejpam-3273	459	19	0	0	NUM
ejpam-3273	459	20	,	,	PUNCT
ejpam-3273	459	21	where	where	SCONJ
ejpam-3273	459	22	{	{	PUNCT
ejpam-3273	459	23	r	r	NOUN
ejpam-3273	459	24	,	,	PUNCT
ejpam-3273	459	25	s	s	NOUN
ejpam-3273	459	26	,	,	PUNCT
ejpam-3273	459	27	l	l	NOUN
ejpam-3273	459	28	,	,	PUNCT
ejpam-3273	459	29	k	k	NOUN
ejpam-3273	459	30	}	}	PUNCT
ejpam-3273	459	31	=	=	SYM
ejpam-3273	459	32	{	{	PUNCT
ejpam-3273	459	33	1	1	NUM
ejpam-3273	459	34	,	,	PUNCT
ejpam-3273	459	35	2	2	NUM
ejpam-3273	459	36	,	,	PUNCT
ejpam-3273	459	37	3	3	NUM
ejpam-3273	459	38	,	,	PUNCT
ejpam-3273	459	39	4	4	NUM
ejpam-3273	459	40	}	}	PUNCT
ejpam-3273	459	41	,	,	PUNCT
ejpam-3273	459	42	then	then	ADV
ejpam-3273	459	43	ϕ	ϕ	NOUN
ejpam-3273	459	44	is	be	AUX
ejpam-3273	459	45	irreducible	irreducible	ADJ
ejpam-3273	459	46	.	.	PUNCT
ejpam-3273	460	1	given	give	VERB
ejpam-3273	460	2	that	that	DET
ejpam-3273	460	3	λ1	λ1	PROPN
ejpam-3273	460	4	=	=	SYM
ejpam-3273	460	5	λ3	λ3	PROPN
ejpam-3273	460	6	,	,	PUNCT
ejpam-3273	460	7	λ2	λ2	NOUN
ejpam-3273	460	8	=	=	SYM
ejpam-3273	460	9	λ4	λ4	PROPN
ejpam-3273	460	10	,	,	PUNCT
ejpam-3273	460	11	and	and	CCONJ
ejpam-3273	460	12	λ1	λ1	PROPN
ejpam-3273	460	13	6=	6=	NUM
ejpam-3273	460	14	−λ2	−λ2	NOUN
ejpam-3273	460	15	.	.	PUNCT
ejpam-3273	461	1	in	in	ADP
ejpam-3273	461	2	this	this	DET
ejpam-3273	461	3	case	case	NOUN
ejpam-3273	461	4	,	,	PUNCT
ejpam-3273	461	5	γ2	γ2	PROPN
ejpam-3273	461	6	=	=	SYM
ejpam-3273	461	7	λ1λ2	λ1λ2	NOUN
ejpam-3273	461	8	.	.	PUNCT
ejpam-3273	462	1	hence	hence	ADV
ejpam-3273	462	2	,	,	PUNCT
ejpam-3273	462	3	it	it	PRON
ejpam-3273	462	4	’s	’	VERB
ejpam-3273	462	5	easy	easy	ADJ
ejpam-3273	462	6	to	to	PART
ejpam-3273	462	7	verify	verify	VERB
ejpam-3273	462	8	that	that	SCONJ
ejpam-3273	462	9	all	all	DET
ejpam-3273	462	10	the	the	DET
ejpam-3273	462	11	conditions	condition	NOUN
ejpam-3273	462	12	of	of	ADP
ejpam-3273	462	13	theorem	theorem	ADJ
ejpam-3273	462	14	11	11	NUM
ejpam-3273	462	15	are	be	AUX
ejpam-3273	462	16	satisfied	satisfied	ADJ
ejpam-3273	462	17	:	:	PUNCT
ejpam-3273	462	18	for	for	ADP
ejpam-3273	462	19	instance	instance	NOUN
ejpam-3273	462	20	,	,	PUNCT
ejpam-3273	462	21	the	the	DET
ejpam-3273	462	22	second	second	ADJ
ejpam-3273	462	23	condition	condition	NOUN
ejpam-3273	462	24	of	of	ADP
ejpam-3273	462	25	theorem	theorem	ADJ
ejpam-3273	462	26	11	11	NUM
ejpam-3273	462	27	is	be	AUX
ejpam-3273	462	28	equivalent	equivalent	ADJ
ejpam-3273	462	29	to	to	ADP
ejpam-3273	462	30	λ1	λ1	PROPN
ejpam-3273	462	31	6=	6=	NUM
ejpam-3273	462	32	−λ2	−λ2	NOUN
ejpam-3273	462	33	.	.	PUNCT
ejpam-3273	463	1	also	also	ADV
ejpam-3273	463	2	,	,	PUNCT
ejpam-3273	463	3	the	the	DET
ejpam-3273	463	4	third	third	ADJ
ejpam-3273	463	5	condition	condition	NOUN
ejpam-3273	463	6	is	be	AUX
ejpam-3273	463	7	equivalent	equivalent	ADJ
ejpam-3273	463	8	references	reference	NOUN
ejpam-3273	463	9	701	701	NUM
ejpam-3273	463	10	to	to	PART
ejpam-3273	463	11	λ1	λ1	PROPN
ejpam-3273	463	12	6=	6=	NUM
ejpam-3273	463	13	−λ2	−λ2	NOUN
ejpam-3273	463	14	.	.	PUNCT
ejpam-3273	464	1	therefore	therefore	ADV
ejpam-3273	464	2	,	,	PUNCT
ejpam-3273	464	3	by	by	ADP
ejpam-3273	464	4	theorem	theorem	NOUN
ejpam-3273	464	5	11	11	NUM
ejpam-3273	464	6	,	,	PUNCT
ejpam-3273	464	7	ϕ	ϕ	NOUN
ejpam-3273	464	8	is	be	AUX
ejpam-3273	464	9	irreducible	irreducible	ADJ
ejpam-3273	464	10	.	.	PUNCT
ejpam-3273	465	1	note	note	VERB
ejpam-3273	465	2	that	that	SCONJ
ejpam-3273	465	3	,	,	PUNCT
ejpam-3273	465	4	provided	provide	VERB
ejpam-3273	465	5	that	that	PRON
ejpam-3273	465	6	λ1	λ1	PROPN
ejpam-3273	465	7	=	=	SYM
ejpam-3273	465	8	λ3	λ3	PROPN
ejpam-3273	465	9	and	and	CCONJ
ejpam-3273	465	10	λ2	λ2	PROPN
ejpam-3273	465	11	=	=	SYM
ejpam-3273	465	12	λ4	λ4	PROPN
ejpam-3273	465	13	,	,	PUNCT
ejpam-3273	465	14	we	we	PRON
ejpam-3273	465	15	have	have	VERB
ejpam-3273	465	16	to	to	PART
ejpam-3273	465	17	require	require	VERB
ejpam-3273	465	18	λ1	λ1	PROPN
ejpam-3273	465	19	6=	6=	NUM
ejpam-3273	465	20	−λ2	−λ2	NOUN
ejpam-3273	465	21	in	in	ADP
ejpam-3273	465	22	order	order	NOUN
ejpam-3273	465	23	for	for	SCONJ
ejpam-3273	465	24	the	the	DET
ejpam-3273	465	25	matrices	matrix	NOUN
ejpam-3273	465	26	of	of	ADP
ejpam-3273	465	27	the	the	DET
ejpam-3273	465	28	generators	generator	NOUN
ejpam-3273	465	29	of	of	ADP
ejpam-3273	465	30	b3	b3	PROPN
ejpam-3273	465	31	not	not	PART
ejpam-3273	465	32	to	to	PART
ejpam-3273	465	33	be	be	AUX
ejpam-3273	465	34	constant	constant	ADJ
ejpam-3273	465	35	matrices	matrix	NOUN
ejpam-3273	465	36	.	.	PUNCT
ejpam-3273	466	1	references	reference	NOUN
ejpam-3273	466	2	[	[	X
ejpam-3273	466	3	1	1	X
ejpam-3273	466	4	]	]	PUNCT
ejpam-3273	466	5	s.	s.	PROPN
ejpam-3273	466	6	albeverio	albeverio	PROPN
ejpam-3273	466	7	,	,	PUNCT
ejpam-3273	466	8	q	q	ADJ
ejpam-3273	466	9	-	-	PUNCT
ejpam-3273	466	10	pascal	pascal	ADJ
ejpam-3273	466	11	’s	’s	NOUN
ejpam-3273	466	12	triangle	triangle	NOUN
ejpam-3273	466	13	and	and	CCONJ
ejpam-3273	466	14	irreducible	irreducible	ADJ
ejpam-3273	466	15	representations	representation	NOUN
ejpam-3273	466	16	of	of	ADP
ejpam-3273	466	17	the	the	DET
ejpam-3273	466	18	braid	braid	PROPN
ejpam-3273	466	19	group	group	NOUN
ejpam-3273	466	20	b3	b3	PROPN
ejpam-3273	466	21	in	in	ADP
ejpam-3273	466	22	arbitrary	arbitrary	ADJ
ejpam-3273	466	23	dimension	dimension	NOUN
ejpam-3273	466	24	.	.	PUNCT
ejpam-3273	467	1	arxiv:0803.2778v2	arxiv:0803.2778v2	NOUN
ejpam-3273	467	2	,	,	PUNCT
ejpam-3273	467	3	2008	2008	NUM
ejpam-3273	467	4	.	.	PUNCT
ejpam-3273	468	1	[	[	X
ejpam-3273	468	2	2	2	X
ejpam-3273	468	3	]	]	PUNCT
ejpam-3273	468	4	j.	j.	PROPN
ejpam-3273	468	5	s.	s.	PROPN
ejpam-3273	468	6	birman	birman	PROPN
ejpam-3273	468	7	,	,	PUNCT
ejpam-3273	468	8	braids	braid	NOUN
ejpam-3273	468	9	,	,	PUNCT
ejpam-3273	468	10	links	link	NOUN
ejpam-3273	468	11	and	and	CCONJ
ejpam-3273	468	12	mapping	mapping	NOUN
ejpam-3273	468	13	class	class	NOUN
ejpam-3273	468	14	groups	group	NOUN
ejpam-3273	468	15	.	.	PUNCT
ejpam-3273	469	1	annals	annal	NOUN
ejpam-3273	469	2	of	of	ADP
ejpam-3273	469	3	mathematical	mathematical	ADJ
ejpam-3273	469	4	studies	study	NOUN
ejpam-3273	469	5	.	.	PUNCT
ejpam-3273	470	1	princeton	princeton	PROPN
ejpam-3273	470	2	university	university	PROPN
ejpam-3273	470	3	press	press	NOUN
ejpam-3273	470	4	,	,	PUNCT
ejpam-3273	470	5	82	82	NUM
ejpam-3273	470	6	,	,	PUNCT
ejpam-3273	470	7	new	new	PROPN
ejpam-3273	470	8	jersey	jersey	PROPN
ejpam-3273	470	9	,	,	PUNCT
ejpam-3273	470	10	1975	1975	NUM
ejpam-3273	470	11	.	.	PUNCT
ejpam-3273	471	1	[	[	X
ejpam-3273	471	2	3	3	X
ejpam-3273	471	3	]	]	PUNCT
ejpam-3273	471	4	s.	s.	PROPN
ejpam-3273	471	5	p.	p.	PROPN
ejpam-3273	471	6	humphries	humphries	PROPN
ejpam-3273	471	7	,	,	PUNCT
ejpam-3273	471	8	some	some	DET
ejpam-3273	471	9	linear	linear	ADJ
ejpam-3273	471	10	representations	representation	NOUN
ejpam-3273	471	11	of	of	ADP
ejpam-3273	471	12	braid	braid	ADJ
ejpam-3273	471	13	groups	group	NOUN
ejpam-3273	471	14	.	.	PUNCT
ejpam-3273	472	1	j.	j.	PROPN
ejpam-3273	472	2	knot	knot	PROPN
ejpam-3273	472	3	theory	theory	NOUN
ejpam-3273	472	4	and	and	CCONJ
ejpam-3273	472	5	its	its	PRON
ejpam-3273	472	6	ramifications	ramification	NOUN
ejpam-3273	472	7	.	.	PUNCT
ejpam-3273	473	1	9(3	9(3	NUM
ejpam-3273	473	2	)	)	PUNCT
ejpam-3273	473	3	,	,	PUNCT
ejpam-3273	473	4	341	341	NUM
ejpam-3273	473	5	-	-	SYM
ejpam-3273	473	6	366	366	NUM
ejpam-3273	473	7	,	,	PUNCT
ejpam-3273	473	8	2000	2000	NUM
ejpam-3273	473	9	.	.	PUNCT
ejpam-3273	474	1	[	[	X
ejpam-3273	474	2	4	4	X
ejpam-3273	474	3	]	]	PUNCT
ejpam-3273	474	4	l.	l.	PROPN
ejpam-3273	474	5	le	le	X
ejpam-3273	474	6	bruyn	bruyn	PROPN
ejpam-3273	474	7	,	,	PUNCT
ejpam-3273	474	8	dense	dense	ADJ
ejpam-3273	474	9	families	family	NOUN
ejpam-3273	474	10	of	of	ADP
ejpam-3273	474	11	b3	b3	NOUN
ejpam-3273	474	12	-	-	PUNCT
ejpam-3273	474	13	representations	representation	NOUN
ejpam-3273	474	14	and	and	CCONJ
ejpam-3273	474	15	braid	braid	NOUN
ejpam-3273	474	16	reversion	reversion	NOUN
ejpam-3273	474	17	.	.	PUNCT
ejpam-3273	475	1	journal	journal	NOUN
ejpam-3273	475	2	of	of	ADP
ejpam-3273	475	3	pure	pure	ADJ
ejpam-3273	475	4	and	and	CCONJ
ejpam-3273	475	5	appl	appl	ADJ
ejpam-3273	475	6	.	.	PUNCT
ejpam-3273	476	1	algebra	algebra	NOUN
ejpam-3273	476	2	.	.	PUNCT
ejpam-3273	477	1	215(5	215(5	NUM
ejpam-3273	477	2	)	)	PUNCT
ejpam-3273	477	3	,	,	PUNCT
ejpam-3273	477	4	1003	1003	NUM
ejpam-3273	477	5	-	-	SYM
ejpam-3273	477	6	1014	1014	NUM
ejpam-3273	477	7	,	,	PUNCT
ejpam-3273	477	8	2011	2011	NUM
ejpam-3273	477	9	.	.	PUNCT
ejpam-3273	478	1	[	[	X
ejpam-3273	478	2	5	5	X
ejpam-3273	478	3	]	]	PUNCT
ejpam-3273	478	4	l.	l.	PROPN
ejpam-3273	478	5	le	le	X
ejpam-3273	478	6	bruyn	bruyn	PROPN
ejpam-3273	478	7	,	,	PUNCT
ejpam-3273	478	8	most	most	ADV
ejpam-3273	478	9	irreducible	irreducible	ADJ
ejpam-3273	478	10	representations	representation	NOUN
ejpam-3273	478	11	of	of	ADP
ejpam-3273	478	12	the	the	DET
ejpam-3273	478	13	3	3	NUM
ejpam-3273	478	14	-	-	PUNCT
ejpam-3273	478	15	string	string	NOUN
ejpam-3273	478	16	braid	braid	NOUN
ejpam-3273	478	17	group	group	NOUN
ejpam-3273	478	18	.	.	PUNCT
ejpam-3273	479	1	arxiv:1303.4907v1	arxiv:1303.4907v1	PROPN
ejpam-3273	479	2	,	,	PUNCT
ejpam-3273	479	3	2013	2013	NUM
ejpam-3273	479	4	.	.	PUNCT
ejpam-3273	480	1	[	[	X
ejpam-3273	480	2	6	6	NUM
ejpam-3273	480	3	]	]	PUNCT
ejpam-3273	480	4	n.	n.	NOUN
ejpam-3273	480	5	maanna	maanna	NOUN
ejpam-3273	480	6	and	and	CCONJ
ejpam-3273	480	7	m.	m.	NOUN
ejpam-3273	480	8	abdulrahim	abdulrahim	PROPN
ejpam-3273	480	9	,	,	PUNCT
ejpam-3273	480	10	tuba	tuba	PROPN
ejpam-3273	480	11	’s	’s	PART
ejpam-3273	480	12	representation	representation	NOUN
ejpam-3273	480	13	of	of	ADP
ejpam-3273	480	14	the	the	DET
ejpam-3273	480	15	pure	pure	ADJ
ejpam-3273	480	16	braid	braid	NOUN
ejpam-3273	480	17	group	group	NOUN
ejpam-3273	480	18	on	on	ADP
ejpam-3273	480	19	three	three	NUM
ejpam-3273	480	20	strands	strand	NOUN
ejpam-3273	480	21	.	.	PUNCT
ejpam-3273	481	1	british	british	ADJ
ejpam-3273	481	2	journal	journal	PROPN
ejpam-3273	481	3	of	of	ADP
ejpam-3273	481	4	mathematics	mathematic	NOUN
ejpam-3273	481	5	and	and	CCONJ
ejpam-3273	481	6	computer	computer	NOUN
ejpam-3273	481	7	science	science	NOUN
ejpam-3273	481	8	.	.	PUNCT
ejpam-3273	482	1	4(16	4(16	NUM
ejpam-3273	482	2	)	)	PUNCT
ejpam-3273	482	3	,	,	PUNCT
ejpam-3273	482	4	23812402	23812402	NUM
ejpam-3273	482	5	,	,	PUNCT
ejpam-3273	482	6	2014	2014	NUM
ejpam-3273	482	7	.	.	PUNCT
ejpam-3273	483	1	[	[	X
ejpam-3273	483	2	7	7	X
ejpam-3273	483	3	]	]	X
ejpam-3273	483	4	i.	i.	NOUN
ejpam-3273	483	5	tuba	tuba	PROPN
ejpam-3273	483	6	and	and	CCONJ
ejpam-3273	483	7	h.	h.	PROPN
ejpam-3273	483	8	wenz	wenz	PROPN
ejpam-3273	483	9	,	,	PUNCT
ejpam-3273	483	10	representations	representation	NOUN
ejpam-3273	483	11	of	of	ADP
ejpam-3273	483	12	the	the	DET
ejpam-3273	483	13	braid	braid	PROPN
ejpam-3273	483	14	group	group	NOUN
ejpam-3273	483	15	b3	b3	PROPN
ejpam-3273	483	16	and	and	CCONJ
ejpam-3273	483	17	of	of	ADP
ejpam-3273	483	18	sl(2	sl(2	PROPN
ejpam-3273	483	19	,	,	PUNCT
ejpam-3273	483	20	z	z	NOUN
ejpam-3273	483	21	)	)	PUNCT
ejpam-3273	483	22	.	.	PUNCT
ejpam-3273	484	1	pacific	pacific	PROPN
ejpam-3273	484	2	j.math	j.math	PROPN
ejpam-3273	484	3	.	.	PUNCT
ejpam-3273	485	1	197(2	197(2	NUM
ejpam-3273	485	2	)	)	PUNCT
ejpam-3273	485	3	,	,	PUNCT
ejpam-3273	485	4	491	491	NUM
ejpam-3273	485	5	-	-	SYM
ejpam-3273	485	6	510	510	NUM
ejpam-3273	485	7	,	,	PUNCT
ejpam-3273	485	8	2001	2001	NUM
ejpam-3273	485	9	.	.	PUNCT