id	sid	tid	token	lemma	pos
ejpam-6084	1	1	european	european	PROPN
ejpam-6084	1	2	journal	journal	PROPN
ejpam-6084	1	3	of	of	ADP
ejpam-6084	1	4	pure	pure	ADJ
ejpam-6084	1	5	and	and	CCONJ
ejpam-6084	1	6	applied	applied	ADJ
ejpam-6084	1	7	mathematics	mathematic	NOUN
ejpam-6084	1	8	2025	2025	NUM
ejpam-6084	1	9	,	,	PUNCT
ejpam-6084	1	10	vol	vol	NOUN
ejpam-6084	1	11	.	.	PROPN
ejpam-6084	1	12	18	18	NUM
ejpam-6084	1	13	,	,	PUNCT
ejpam-6084	1	14	issue	issue	NOUN
ejpam-6084	1	15	2	2	NUM
ejpam-6084	1	16	,	,	PUNCT
ejpam-6084	1	17	article	article	NOUN
ejpam-6084	1	18	number	number	NOUN
ejpam-6084	1	19	6084	6084	NUM
ejpam-6084	1	20	issn	issn	PROPN
ejpam-6084	1	21	1307	1307	NUM
ejpam-6084	1	22	-	-	SYM
ejpam-6084	1	23	5543	5543	NUM
ejpam-6084	1	24	–	–	PUNCT
ejpam-6084	1	25	ejpam.com	ejpam.com	X
ejpam-6084	1	26	published	publish	VERB
ejpam-6084	1	27	by	by	ADP
ejpam-6084	1	28	new	new	PROPN
ejpam-6084	1	29	york	york	PROPN
ejpam-6084	1	30	business	business	PROPN
ejpam-6084	1	31	global	global	ADJ
ejpam-6084	1	32	characterization	characterization	NOUN
ejpam-6084	1	33	of	of	ADP
ejpam-6084	1	34	multiplicative	multiplicative	ADJ
ejpam-6084	1	35	mixed	mixed	ADJ
ejpam-6084	1	36	jordan	jordan	PROPN
ejpam-6084	1	37	-	-	PUNCT
ejpam-6084	1	38	type	type	NOUN
ejpam-6084	1	39	derivations	derivation	NOUN
ejpam-6084	1	40	on	on	ADP
ejpam-6084	1	41	ring	ring	NOUN
ejpam-6084	1	42	with	with	ADP
ejpam-6084	1	43	involution	involution	PROPN
ejpam-6084	1	44	md	md	PROPN
ejpam-6084	1	45	arshad	arshad	PROPN
ejpam-6084	1	46	madni1	madni1	PROPN
ejpam-6084	1	47	,	,	PUNCT
ejpam-6084	1	48	muzibur	muzibur	PROPN
ejpam-6084	1	49	rahman	rahman	PROPN
ejpam-6084	1	50	mozumder1	mozumder1	PROPN
ejpam-6084	1	51	,	,	PUNCT
ejpam-6084	1	52	abu	abu	PROPN
ejpam-6084	1	53	zaid	zaid	PROPN
ejpam-6084	1	54	ansari2,∗	ansari2,∗	PROPN
ejpam-6084	1	55	,	,	PUNCT
ejpam-6084	1	56	faiza	faiza	PROPN
ejpam-6084	1	57	shujat3	shujat3	PROPN
ejpam-6084	1	58	1	1	NUM
ejpam-6084	1	59	department	department	NOUN
ejpam-6084	1	60	of	of	ADP
ejpam-6084	1	61	mathematics	mathematics	PROPN
ejpam-6084	1	62	,	,	PUNCT
ejpam-6084	1	63	aligarh	aligarh	PROPN
ejpam-6084	1	64	muslim	muslim	PROPN
ejpam-6084	1	65	university	university	PROPN
ejpam-6084	1	66	,	,	PUNCT
ejpam-6084	1	67	aligarh-202002	aligarh-202002	NOUN
ejpam-6084	1	68	india	india	PROPN
ejpam-6084	1	69	2	2	NUM
ejpam-6084	1	70	department	department	NOUN
ejpam-6084	1	71	of	of	ADP
ejpam-6084	1	72	mathematics	mathematic	NOUN
ejpam-6084	1	73	,	,	PUNCT
ejpam-6084	1	74	faculty	faculty	NOUN
ejpam-6084	1	75	of	of	ADP
ejpam-6084	1	76	science	science	NOUN
ejpam-6084	1	77	,	,	PUNCT
ejpam-6084	1	78	islamic	islamic	PROPN
ejpam-6084	1	79	university	university	PROPN
ejpam-6084	1	80	of	of	ADP
ejpam-6084	1	81	madinah	madinah	PROPN
ejpam-6084	1	82	,	,	PUNCT
ejpam-6084	1	83	k.s.a	k.s.a	NOUN
ejpam-6084	1	84	3	3	NUM
ejpam-6084	1	85	department	department	NOUN
ejpam-6084	1	86	of	of	ADP
ejpam-6084	1	87	mathematics	mathematic	NOUN
ejpam-6084	1	88	,	,	PUNCT
ejpam-6084	1	89	faculty	faculty	NOUN
ejpam-6084	1	90	of	of	ADP
ejpam-6084	1	91	science	science	NOUN
ejpam-6084	1	92	,	,	PUNCT
ejpam-6084	1	93	taibah	taibah	PROPN
ejpam-6084	1	94	university	university	PROPN
ejpam-6084	1	95	,	,	PUNCT
ejpam-6084	1	96	madinah	madinah	PROPN
ejpam-6084	1	97	,	,	PUNCT
ejpam-6084	1	98	k.s.a	k.s.a	PROPN
ejpam-6084	1	99	.	.	PUNCT
ejpam-6084	2	1	abstract	abstract	PROPN
ejpam-6084	2	2	.	.	PUNCT
ejpam-6084	3	1	let	let	VERB
ejpam-6084	3	2	b	b	X
ejpam-6084	3	3	be	be	AUX
ejpam-6084	3	4	a	a	DET
ejpam-6084	3	5	unital	unital	ADJ
ejpam-6084	3	6	∅-ring	∅-ring	NOUN
ejpam-6084	3	7	with	with	ADP
ejpam-6084	3	8	a	a	DET
ejpam-6084	3	9	2	2	NUM
ejpam-6084	3	10	-	-	PUNCT
ejpam-6084	3	11	torsion	torsion	NOUN
ejpam-6084	3	12	free	free	ADJ
ejpam-6084	3	13	that	that	PRON
ejpam-6084	3	14	contains	contain	VERB
ejpam-6084	3	15	non	non	ADJ
ejpam-6084	3	16	-	-	ADJ
ejpam-6084	3	17	trivial	trivial	ADJ
ejpam-6084	3	18	symmetric	symmetric	ADJ
ejpam-6084	3	19	idempotent	idempotent	NOUN
ejpam-6084	3	20	.	.	PUNCT
ejpam-6084	4	1	for	for	ADP
ejpam-6084	4	2	any	any	DET
ejpam-6084	4	3	b1	b1	NOUN
ejpam-6084	4	4	,	,	PUNCT
ejpam-6084	4	5	b2	b2	NOUN
ejpam-6084	4	6	,	,	PUNCT
ejpam-6084	4	7	b3	b3	PROPN
ejpam-6084	4	8	,	,	PUNCT
ejpam-6084	4	9	.	.	PUNCT
ejpam-6084	4	10	.	.	PUNCT
ejpam-6084	4	11	.	.	PUNCT
ejpam-6084	5	1	,	,	PUNCT
ejpam-6084	5	2	bn	bn	X
ejpam-6084	5	3	∈	∈	PROPN
ejpam-6084	5	4	b	b	PROPN
ejpam-6084	5	5	,	,	PUNCT
ejpam-6084	5	6	a	a	DET
ejpam-6084	5	7	product	product	NOUN
ejpam-6084	5	8	b1	b1	NOUN
ejpam-6084	5	9	◦	◦	NOUN
ejpam-6084	5	10	b2	b2	NOUN
ejpam-6084	5	11	=	=	SYM
ejpam-6084	5	12	b1b2	b1b2	PROPN
ejpam-6084	6	1	+	+	CCONJ
ejpam-6084	6	2	b2b1	b2b1	CCONJ
ejpam-6084	6	3	is	be	AUX
ejpam-6084	6	4	called	call	VERB
ejpam-6084	6	5	jordan	jordan	PROPN
ejpam-6084	6	6	product	product	PROPN
ejpam-6084	6	7	and	and	CCONJ
ejpam-6084	6	8	b1	b1	NOUN
ejpam-6084	6	9	•	•	NOUN
ejpam-6084	6	10	b2	b2	NOUN
ejpam-6084	6	11	=	=	SYM
ejpam-6084	6	12	b1b2	b1b2	PROPN
ejpam-6084	6	13	+	+	NUM
ejpam-6084	6	14	b2b	b2b	NOUN
ejpam-6084	6	15	∅	∅	NOUN
ejpam-6084	6	16	1	1	NUM
ejpam-6084	6	17	is	be	AUX
ejpam-6084	6	18	recognized	recognize	VERB
ejpam-6084	6	19	as	as	ADP
ejpam-6084	6	20	a	a	DET
ejpam-6084	6	21	skew	skew	ADJ
ejpam-6084	6	22	jordan	jordan	PROPN
ejpam-6084	6	23	product	product	PROPN
ejpam-6084	6	24	.	.	PUNCT
ejpam-6084	7	1	characterize	characterize	VERB
ejpam-6084	7	2	mixed	mixed	ADJ
ejpam-6084	7	3	jordan	jordan	PROPN
ejpam-6084	7	4	triple	triple	ADJ
ejpam-6084	7	5	product	product	NOUN
ejpam-6084	7	6	as	as	ADP
ejpam-6084	7	7	q3(b1	q3(b1	NOUN
ejpam-6084	7	8	,	,	PUNCT
ejpam-6084	7	9	b2	b2	NOUN
ejpam-6084	7	10	,	,	PUNCT
ejpam-6084	7	11	b3	b3	PROPN
ejpam-6084	7	12	)	)	PUNCT
ejpam-6084	8	1	=	=	PUNCT
ejpam-6084	8	2	b1	b1	PROPN
ejpam-6084	8	3	◦	◦	PROPN
ejpam-6084	8	4	b2	b2	PROPN
ejpam-6084	8	5	•	•	NOUN
ejpam-6084	8	6	b3	b3	PROPN
ejpam-6084	8	7	and	and	CCONJ
ejpam-6084	8	8	mixed	mixed	ADJ
ejpam-6084	8	9	jordan	jordan	PROPN
ejpam-6084	8	10	n	n	CCONJ
ejpam-6084	8	11	-	-	PUNCT
ejpam-6084	8	12	product	product	NOUN
ejpam-6084	8	13	as	as	ADP
ejpam-6084	8	14	qn(b1	qn(b1	NOUN
ejpam-6084	8	15	,	,	PUNCT
ejpam-6084	8	16	b2	b2	NOUN
ejpam-6084	8	17	,	,	PUNCT
ejpam-6084	8	18	.	.	PUNCT
ejpam-6084	8	19	.	.	PUNCT
ejpam-6084	9	1	.	.	PUNCT
ejpam-6084	10	1	,	,	PUNCT
ejpam-6084	10	2	bn	bn	X
ejpam-6084	10	3	)	)	PUNCT
ejpam-6084	10	4	=	=	PUNCT
ejpam-6084	10	5	b1	b1	PROPN
ejpam-6084	10	6	◦	◦	NOUN
ejpam-6084	10	7	b2	b2	NOUN
ejpam-6084	10	8	◦	◦	NOUN
ejpam-6084	10	9	·	·	PUNCT
ejpam-6084	10	10	·	·	PUNCT
ejpam-6084	10	11	·	·	PUNCT
ejpam-6084	11	1	•	•	NUM
ejpam-6084	11	2	bn	bn	INTJ
ejpam-6084	11	3	for	for	ADP
ejpam-6084	11	4	all	all	DET
ejpam-6084	11	5	integer	integer	NOUN
ejpam-6084	11	6	n	n	PRON
ejpam-6084	11	7	≥	≥	NOUN
ejpam-6084	11	8	3	3	NUM
ejpam-6084	11	9	.	.	PUNCT
ejpam-6084	12	1	the	the	DET
ejpam-6084	12	2	present	present	ADJ
ejpam-6084	12	3	paper	paper	NOUN
ejpam-6084	12	4	deals	deal	NOUN
ejpam-6084	12	5	that	that	PRON
ejpam-6084	12	6	a	a	DET
ejpam-6084	12	7	mapping	mapping	NOUN
ejpam-6084	12	8	which	which	PRON
ejpam-6084	12	9	is	be	AUX
ejpam-6084	12	10	called	call	VERB
ejpam-6084	12	11	multiplicative	multiplicative	ADJ
ejpam-6084	12	12	mixed	mixed	ADJ
ejpam-6084	12	13	jordan	jordan	PROPN
ejpam-6084	12	14	n	n	CCONJ
ejpam-6084	12	15	-	-	PUNCT
ejpam-6084	12	16	derivation	derivation	NOUN
ejpam-6084	12	17	,	,	PUNCT
ejpam-6084	12	18	ψ	ψ	NOUN
ejpam-6084	12	19	:	:	PUNCT
ejpam-6084	12	20	b	b	X
ejpam-6084	12	21	→	→	SYM
ejpam-6084	12	22	b	b	PROPN
ejpam-6084	12	23	satisfies	satisfie	NOUN
ejpam-6084	12	24	ψ(qn(b1	ψ(qn(b1	NOUN
ejpam-6084	12	25	,	,	PUNCT
ejpam-6084	12	26	b2	b2	NOUN
ejpam-6084	12	27	,	,	PUNCT
ejpam-6084	12	28	.	.	PUNCT
ejpam-6084	12	29	.	.	PUNCT
ejpam-6084	12	30	.	.	PUNCT
ejpam-6084	13	1	,	,	PUNCT
ejpam-6084	13	2	bn	bn	NOUN
ejpam-6084	13	3	)	)	PUNCT
ejpam-6084	13	4	)	)	PUNCT
ejpam-6084	14	1	=	=	PUNCT
ejpam-6084	15	1	∑n	∑n	PROPN
ejpam-6084	15	2	i=1	i=1	NOUN
ejpam-6084	15	3	qn(b1	qn(b1	NOUN
ejpam-6084	15	4	,	,	PUNCT
ejpam-6084	15	5	.	.	PUNCT
ejpam-6084	15	6	.	.	PUNCT
ejpam-6084	15	7	.	.	PUNCT
ejpam-6084	16	1	,	,	PUNCT
ejpam-6084	16	2	bi−1,ψ(bi	bi−1,ψ(bi	NOUN
ejpam-6084	16	3	)	)	PUNCT
ejpam-6084	16	4	,	,	PUNCT
ejpam-6084	16	5	bi+1	bi+1	NOUN
ejpam-6084	16	6	,	,	PUNCT
ejpam-6084	16	7	.	.	PUNCT
ejpam-6084	16	8	.	.	PUNCT
ejpam-6084	17	1	.	.	PUNCT
ejpam-6084	18	1	,	,	PUNCT
ejpam-6084	18	2	bn	bn	X
ejpam-6084	18	3	)	)	PUNCT
ejpam-6084	18	4	for	for	ADP
ejpam-6084	18	5	all	all	DET
ejpam-6084	18	6	b1	b1	NOUN
ejpam-6084	18	7	,	,	PUNCT
ejpam-6084	18	8	b2	b2	NOUN
ejpam-6084	18	9	,	,	PUNCT
ejpam-6084	18	10	.	.	PUNCT
ejpam-6084	18	11	.	.	PUNCT
ejpam-6084	18	12	.	.	PUNCT
ejpam-6084	19	1	,	,	PUNCT
ejpam-6084	19	2	bn	bn	X
ejpam-6084	19	3	∈	∈	PROPN
ejpam-6084	19	4	b	b	NOUN
ejpam-6084	19	5	if	if	SCONJ
ejpam-6084	19	6	and	and	CCONJ
ejpam-6084	19	7	only	only	ADV
ejpam-6084	19	8	if	if	SCONJ
ejpam-6084	19	9	ψ	ψ	NOUN
ejpam-6084	19	10	is	be	AUX
ejpam-6084	19	11	an	an	DET
ejpam-6084	19	12	additive	additive	ADJ
ejpam-6084	19	13	∅-derivation	∅-derivation	NOUN
ejpam-6084	19	14	.	.	PUNCT
ejpam-6084	20	1	finally	finally	ADV
ejpam-6084	20	2	,	,	PUNCT
ejpam-6084	20	3	primary	primary	ADJ
ejpam-6084	20	4	outcome	outcome	NOUN
ejpam-6084	20	5	is	be	AUX
ejpam-6084	20	6	applicable	applicable	ADJ
ejpam-6084	20	7	in	in	ADP
ejpam-6084	20	8	various	various	ADJ
ejpam-6084	20	9	specific	specific	ADJ
ejpam-6084	20	10	categories	category	NOUN
ejpam-6084	20	11	of	of	ADP
ejpam-6084	20	12	unital	unital	ADJ
ejpam-6084	20	13	∅-rings	∅-rings	PROPN
ejpam-6084	20	14	and	and	CCONJ
ejpam-6084	20	15	∅-algebras	∅-algebras	PROPN
ejpam-6084	20	16	including	include	VERB
ejpam-6084	20	17	prime	prime	ADJ
ejpam-6084	20	18	∅-rings	∅-rings	PROPN
ejpam-6084	20	19	,	,	PUNCT
ejpam-6084	20	20	prime	prime	ADJ
ejpam-6084	20	21	∅-algebras	∅-algebras	PUNCT
ejpam-6084	20	22	and	and	CCONJ
ejpam-6084	20	23	factor	factor	NOUN
ejpam-6084	20	24	von	von	PROPN
ejpam-6084	20	25	neumann	neumann	PROPN
ejpam-6084	20	26	algebras	algebras	PROPN
ejpam-6084	20	27	.	.	PROPN
ejpam-6084	21	1	2020	2020	NUM
ejpam-6084	21	2	mathematics	mathematics	PROPN
ejpam-6084	21	3	subject	subject	NOUN
ejpam-6084	21	4	classifications	classification	NOUN
ejpam-6084	21	5	:	:	PUNCT
ejpam-6084	21	6	16w10	16w10	NUM
ejpam-6084	21	7	,	,	PUNCT
ejpam-6084	21	8	46l10	46l10	NUM
ejpam-6084	21	9	,	,	PUNCT
ejpam-6084	21	10	47b47	47b47	NUM
ejpam-6084	21	11	.	.	PUNCT
ejpam-6084	22	1	key	key	ADJ
ejpam-6084	22	2	words	word	NOUN
ejpam-6084	22	3	and	and	CCONJ
ejpam-6084	22	4	phrases	phrase	NOUN
ejpam-6084	22	5	:	:	PUNCT
ejpam-6084	22	6	additive	additive	ADJ
ejpam-6084	22	7	∅-derivation	∅-derivation	NOUN
ejpam-6084	22	8	;	;	PUNCT
ejpam-6084	22	9	mixed	mixed	ADJ
ejpam-6084	22	10	jordan	jordan	PROPN
ejpam-6084	22	11	-	-	PUNCT
ejpam-6084	22	12	type	type	NOUN
ejpam-6084	22	13	derivation	derivation	NOUN
ejpam-6084	22	14	;	;	PUNCT
ejpam-6084	22	15	∅-rings	∅-ring	NOUN
ejpam-6084	22	16	;	;	PUNCT
ejpam-6084	22	17	factor	factor	NOUN
ejpam-6084	22	18	von	von	PROPN
ejpam-6084	22	19	neumann	neumann	PROPN
ejpam-6084	22	20	algebra	algebra	PROPN
ejpam-6084	22	21	.	.	PUNCT
ejpam-6084	23	1	1	1	X
ejpam-6084	23	2	.	.	X
ejpam-6084	23	3	introduction	introduction	NOUN
ejpam-6084	23	4	throughout	throughout	ADP
ejpam-6084	23	5	this	this	DET
ejpam-6084	23	6	work	work	NOUN
ejpam-6084	23	7	,	,	PUNCT
ejpam-6084	23	8	b	b	PROPN
ejpam-6084	23	9	is	be	AUX
ejpam-6084	23	10	taken	take	VERB
ejpam-6084	23	11	to	to	PART
ejpam-6084	23	12	be	be	AUX
ejpam-6084	23	13	an	an	DET
ejpam-6084	23	14	associative	associative	ADJ
ejpam-6084	23	15	ring	ring	NOUN
ejpam-6084	23	16	having	have	VERB
ejpam-6084	23	17	z(b	z(b	NOUN
ejpam-6084	23	18	)	)	PUNCT
ejpam-6084	23	19	as	as	ADP
ejpam-6084	23	20	its	its	PRON
ejpam-6084	23	21	center	center	NOUN
ejpam-6084	23	22	.	.	PUNCT
ejpam-6084	24	1	an	an	DET
ejpam-6084	24	2	involution	involution	NOUN
ejpam-6084	24	3	‘	'	PUNCT
ejpam-6084	24	4	∅	∅	NOUN
ejpam-6084	24	5	’	'	PUNCT
ejpam-6084	24	6	is	be	AUX
ejpam-6084	24	7	described	describe	VERB
ejpam-6084	24	8	as	as	ADP
ejpam-6084	24	9	an	an	DET
ejpam-6084	24	10	anti	anti	ADJ
ejpam-6084	24	11	-	-	ADJ
ejpam-6084	24	12	automorphism	automorphism	NOUN
ejpam-6084	24	13	of	of	ADP
ejpam-6084	24	14	order	order	NOUN
ejpam-6084	24	15	1	1	NUM
ejpam-6084	24	16	or	or	CCONJ
ejpam-6084	24	17	2	2	NUM
ejpam-6084	24	18	and	and	CCONJ
ejpam-6084	24	19	b	b	NOUN
ejpam-6084	24	20	along	along	ADP
ejpam-6084	24	21	with	with	ADP
ejpam-6084	24	22	an	an	DET
ejpam-6084	24	23	involution	involution	NOUN
ejpam-6084	24	24	‘	'	PUNCT
ejpam-6084	24	25	∅	∅	NOUN
ejpam-6084	24	26	’	'	PUNCT
ejpam-6084	24	27	is	be	AUX
ejpam-6084	24	28	known	know	VERB
ejpam-6084	24	29	as	as	ADP
ejpam-6084	24	30	a	a	DET
ejpam-6084	24	31	∅-ring	∅-ring	PROPN
ejpam-6084	24	32	.	.	PUNCT
ejpam-6084	25	1	if	if	SCONJ
ejpam-6084	25	2	α2	α2	PROPN
ejpam-6084	25	3	=	=	SYM
ejpam-6084	25	4	α	α	NOUN
ejpam-6084	25	5	=	=	SYM
ejpam-6084	25	6	α∅	α∅	X
ejpam-6084	25	7	,	,	PUNCT
ejpam-6084	25	8	then	then	ADV
ejpam-6084	25	9	α	α	PROPN
ejpam-6084	25	10	∈	∈	PROPN
ejpam-6084	25	11	b	b	PROPN
ejpam-6084	25	12	is	be	AUX
ejpam-6084	25	13	termed	term	VERB
ejpam-6084	25	14	a	a	DET
ejpam-6084	25	15	symmetric	symmetric	ADJ
ejpam-6084	25	16	idempotent	idempotent	NOUN
ejpam-6084	25	17	and	and	CCONJ
ejpam-6084	25	18	it	it	PRON
ejpam-6084	25	19	is	be	AUX
ejpam-6084	25	20	considered	consider	VERB
ejpam-6084	25	21	non	non	ADJ
ejpam-6084	25	22	-	-	ADJ
ejpam-6084	25	23	trivial	trivial	ADJ
ejpam-6084	25	24	if	if	SCONJ
ejpam-6084	25	25	α	α	PRON
ejpam-6084	25	26	is	be	AUX
ejpam-6084	25	27	neither	neither	PRON
ejpam-6084	25	28	0	0	NUM
ejpam-6084	25	29	nor	nor	CCONJ
ejpam-6084	25	30	i.	i.	NOUN
ejpam-6084	25	31	a	a	DET
ejpam-6084	25	32	mapping	mapping	NOUN
ejpam-6084	25	33	ψ	ψ	NOUN
ejpam-6084	25	34	:	:	PUNCT
ejpam-6084	25	35	b	b	X
ejpam-6084	25	36	→	→	SYM
ejpam-6084	25	37	b	b	PROPN
ejpam-6084	25	38	is	be	AUX
ejpam-6084	25	39	called	call	VERB
ejpam-6084	25	40	a	a	DET
ejpam-6084	25	41	derivation	derivation	NOUN
ejpam-6084	25	42	if	if	SCONJ
ejpam-6084	25	43	it	it	PRON
ejpam-6084	25	44	satisfies	satisfy	VERB
ejpam-6084	25	45	ψ(b1+b2	ψ(b1+b2	VERB
ejpam-6084	25	46	)	)	PUNCT
ejpam-6084	25	47	=	=	SYM
ejpam-6084	25	48	ψ(b1)+ψ(b2	ψ(b1)+ψ(b2	NOUN
ejpam-6084	25	49	)	)	PUNCT
ejpam-6084	25	50	and	and	CCONJ
ejpam-6084	25	51	ψ(b1b2	ψ(b1b2	NOUN
ejpam-6084	25	52	)	)	PUNCT
ejpam-6084	26	1	=	=	SYM
ejpam-6084	26	2	ψ(b1)b2+b1ψ(b2	ψ(b1)b2+b1ψ(b2	NOUN
ejpam-6084	26	3	)	)	PUNCT
ejpam-6084	26	4	for	for	ADP
ejpam-6084	26	5	all	all	DET
ejpam-6084	26	6	b1	b1	NOUN
ejpam-6084	26	7	,	,	PUNCT
ejpam-6084	26	8	b2	b2	NOUN
ejpam-6084	26	9	∈	∈	PROPN
ejpam-6084	26	10	b.	b.	PROPN
ejpam-6084	26	11	for	for	ADP
ejpam-6084	26	12	a	a	DET
ejpam-6084	26	13	ring	ring	NOUN
ejpam-6084	26	14	b	b	NOUN
ejpam-6084	26	15	with	with	ADP
ejpam-6084	26	16	an	an	DET
ejpam-6084	26	17	involution	involution	NOUN
ejpam-6084	26	18	‘	'	PUNCT
ejpam-6084	26	19	∅	∅	NOUN
ejpam-6084	26	20	’	'	PUNCT
ejpam-6084	26	21	a	a	DET
ejpam-6084	26	22	mapping	mapping	NOUN
ejpam-6084	26	23	ψ	ψ	X
ejpam-6084	26	24	:	:	PUNCT
ejpam-6084	26	25	b	b	X
ejpam-6084	26	26	→	→	SYM
ejpam-6084	26	27	b	b	PROPN
ejpam-6084	26	28	is	be	AUX
ejpam-6084	26	29	called	call	VERB
ejpam-6084	26	30	an	an	DET
ejpam-6084	26	31	additive	additive	ADJ
ejpam-6084	26	32	∅-derivation	∅-derivation	NOUN
ejpam-6084	26	33	,	,	PUNCT
ejpam-6084	26	34	if	if	SCONJ
ejpam-6084	26	35	it	it	PRON
ejpam-6084	26	36	is	be	AUX
ejpam-6084	26	37	a	a	DET
ejpam-6084	26	38	derivation	derivation	NOUN
ejpam-6084	26	39	and	and	CCONJ
ejpam-6084	26	40	ψ(b∅	ψ(b∅	NOUN
ejpam-6084	26	41	1	1	NUM
ejpam-6084	26	42	)	)	PUNCT
ejpam-6084	26	43	=	=	SYM
ejpam-6084	26	44	ψ(b1	ψ(b1	NOUN
ejpam-6084	26	45	)	)	PUNCT
ejpam-6084	26	46	∅	∅	NOUN
ejpam-6084	26	47	holds	hold	VERB
ejpam-6084	26	48	for	for	ADP
ejpam-6084	26	49	all	all	DET
ejpam-6084	26	50	b1	b1	NOUN
ejpam-6084	26	51	,	,	PUNCT
ejpam-6084	26	52	b2	b2	NOUN
ejpam-6084	26	53	∈	∈	PROPN
ejpam-6084	26	54	b.	b.	NOUN
ejpam-6084	27	1	the	the	DET
ejpam-6084	27	2	expressions	expression	NOUN
ejpam-6084	27	3	b1	b1	VERB
ejpam-6084	27	4	◦	◦	NOUN
ejpam-6084	27	5	b2	b2	NOUN
ejpam-6084	27	6	=	=	VERB
ejpam-6084	27	7	b1b2+b2b1	b1b2+b2b1	NOUN
ejpam-6084	27	8	and	and	CCONJ
ejpam-6084	27	9	b1	b1	VERB
ejpam-6084	27	10	•b2	•b2	NUM
ejpam-6084	27	11	=	=	SYM
ejpam-6084	27	12	b1b2+b2b	b1b2+b2b	NOUN
ejpam-6084	27	13	∅	∅	NOUN
ejpam-6084	27	14	1	1	NUM
ejpam-6084	27	15	,	,	PUNCT
ejpam-6084	27	16	∗corresponding	∗corresponde	VERB
ejpam-6084	27	17	author	author	NOUN
ejpam-6084	27	18	.	.	PUNCT
ejpam-6084	28	1	doi	doi	NOUN
ejpam-6084	28	2	:	:	PUNCT
ejpam-6084	28	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6084	https://doi.org/10.29020/nybg.ejpam.v18i2.6084	ADJ
ejpam-6084	28	4	email	email	NOUN
ejpam-6084	28	5	addresses	address	VERB
ejpam-6084	28	6	:	:	PUNCT
ejpam-6084	28	7	arshadmadni7613@gmail.com	arshadmadni7613@gmail.com	X
ejpam-6084	28	8	(	(	PUNCT
ejpam-6084	28	9	m.	m.	NOUN
ejpam-6084	28	10	a.	a.	NOUN
ejpam-6084	28	11	madni	madni	PROPN
ejpam-6084	28	12	)	)	PUNCT
ejpam-6084	28	13	,	,	PUNCT
ejpam-6084	28	14	muzibamu81@gmail.com	muzibamu81@gmail.com	PROPN
ejpam-6084	28	15	(	(	PUNCT
ejpam-6084	28	16	m.	m.	PROPN
ejpam-6084	28	17	r.	r.	PROPN
ejpam-6084	28	18	mozumder	mozumder	PROPN
ejpam-6084	28	19	)	)	PUNCT
ejpam-6084	28	20	,	,	PUNCT
ejpam-6084	28	21	ansari.abuzaid@gmail.com	ansari.abuzaid@gmail.com	X
ejpam-6084	28	22	(	(	PUNCT
ejpam-6084	28	23	a.	a.	PROPN
ejpam-6084	28	24	z.	z.	PROPN
ejpam-6084	28	25	ansari	ansari	PROPN
ejpam-6084	28	26	)	)	PUNCT
ejpam-6084	28	27	,	,	PUNCT
ejpam-6084	28	28	faiza.shujat@gmail.com	faiza.shujat@gmail.com	X
ejpam-6084	28	29	(	(	PUNCT
ejpam-6084	28	30	f.	f.	PROPN
ejpam-6084	28	31	shujat	shujat	PROPN
ejpam-6084	28	32	)	)	PUNCT
ejpam-6084	28	33	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6084	29	1	1	1	NUM
ejpam-6084	29	2	copyright	copyright	NOUN
ejpam-6084	29	3	:	:	PUNCT
ejpam-6084	29	4	©	©	PROPN
ejpam-6084	29	5	2025	2025	NUM
ejpam-6084	29	6	the	the	DET
ejpam-6084	29	7	author(s	author(s	NOUN
ejpam-6084	29	8	)	)	PUNCT
ejpam-6084	29	9	.	.	PUNCT
ejpam-6084	30	1	(	(	PUNCT
ejpam-6084	30	2	cc	cc	NOUN
ejpam-6084	30	3	by	by	ADP
ejpam-6084	30	4	-	-	PUNCT
ejpam-6084	30	5	nc	nc	PROPN
ejpam-6084	30	6	4.0	4.0	NUM
ejpam-6084	30	7	)	)	PUNCT
ejpam-6084	30	8	md	md	PROPN
ejpam-6084	30	9	arshad	arshad	PROPN
ejpam-6084	30	10	madni	madni	PROPN
ejpam-6084	30	11	et	et	PROPN
ejpam-6084	30	12	al	al	PROPN
ejpam-6084	30	13	.	.	PUNCT
ejpam-6084	30	14	/	/	SYM
ejpam-6084	30	15	eur	eur	PROPN
ejpam-6084	30	16	.	.	PUNCT
ejpam-6084	31	1	j.	j.	PROPN
ejpam-6084	31	2	pure	pure	PROPN
ejpam-6084	31	3	appl	appl	PROPN
ejpam-6084	31	4	.	.	PROPN
ejpam-6084	31	5	math	math	PROPN
ejpam-6084	31	6	,	,	PUNCT
ejpam-6084	31	7	18	18	NUM
ejpam-6084	31	8	(	(	PUNCT
ejpam-6084	31	9	2	2	NUM
ejpam-6084	31	10	)	)	PUNCT
ejpam-6084	31	11	(	(	PUNCT
ejpam-6084	31	12	2025	2025	NUM
ejpam-6084	31	13	)	)	PUNCT
ejpam-6084	31	14	,	,	PUNCT
ejpam-6084	31	15	6084	6084	NUM
ejpam-6084	31	16	2	2	NUM
ejpam-6084	31	17	of	of	ADP
ejpam-6084	31	18	16	16	NUM
ejpam-6084	31	19	define	define	VERB
ejpam-6084	31	20	the	the	DET
ejpam-6084	31	21	jordan	jordan	PROPN
ejpam-6084	31	22	product	product	PROPN
ejpam-6084	31	23	and	and	CCONJ
ejpam-6084	31	24	skew	skew	VERB
ejpam-6084	31	25	jordan	jordan	PROPN
ejpam-6084	31	26	product	product	NOUN
ejpam-6084	31	27	of	of	ADP
ejpam-6084	31	28	b1	b1	NOUN
ejpam-6084	31	29	and	and	CCONJ
ejpam-6084	31	30	b2	b2	NOUN
ejpam-6084	31	31	respectively	respectively	ADV
ejpam-6084	31	32	.	.	PUNCT
ejpam-6084	32	1	an	an	DET
ejpam-6084	32	2	additive	additive	ADJ
ejpam-6084	32	3	mapping	mapping	NOUN
ejpam-6084	32	4	ψ	ψ	X
ejpam-6084	32	5	:	:	PUNCT
ejpam-6084	32	6	b	b	X
ejpam-6084	32	7	→	→	SYM
ejpam-6084	32	8	b	b	PROPN
ejpam-6084	32	9	is	be	AUX
ejpam-6084	32	10	known	know	VERB
ejpam-6084	32	11	as	as	ADP
ejpam-6084	32	12	a	a	DET
ejpam-6084	32	13	jordan	jordan	PROPN
ejpam-6084	32	14	derivation	derivation	NOUN
ejpam-6084	32	15	(	(	PUNCT
ejpam-6084	32	16	respectively	respectively	ADV
ejpam-6084	32	17	jordan	jordan	PROPN
ejpam-6084	32	18	triple	triple	ADJ
ejpam-6084	32	19	derivation	derivation	NOUN
ejpam-6084	32	20	)	)	PUNCT
ejpam-6084	32	21	if	if	SCONJ
ejpam-6084	32	22	ψ(b1	ψ(b1	ADP
ejpam-6084	32	23	◦	◦	NOUN
ejpam-6084	32	24	b2	b2	NOUN
ejpam-6084	32	25	)	)	PUNCT
ejpam-6084	32	26	=	=	SYM
ejpam-6084	32	27	ψ(b1	ψ(b1	NOUN
ejpam-6084	32	28	)	)	PUNCT
ejpam-6084	32	29	◦	◦	NOUN
ejpam-6084	32	30	b2	b2	NOUN
ejpam-6084	32	31	+	+	CCONJ
ejpam-6084	32	32	b1	b1	PROPN
ejpam-6084	32	33	◦	◦	NOUN
ejpam-6084	32	34	ψ(b2	ψ(b2	NOUN
ejpam-6084	32	35	)	)	PUNCT
ejpam-6084	32	36	(	(	PUNCT
ejpam-6084	32	37	resp	resp	NOUN
ejpam-6084	32	38	.	.	PUNCT
ejpam-6084	32	39	ψ((b1	ψ((b1	PROPN
ejpam-6084	32	40	◦	◦	NOUN
ejpam-6084	32	41	b2	b2	NOUN
ejpam-6084	32	42	)	)	PUNCT
ejpam-6084	32	43	◦	◦	NOUN
ejpam-6084	32	44	b3	b3	NOUN
ejpam-6084	32	45	)	)	PUNCT
ejpam-6084	33	1	=	=	PUNCT
ejpam-6084	33	2	(	(	PUNCT
ejpam-6084	33	3	ψ(b1	ψ(b1	NOUN
ejpam-6084	33	4	)	)	PUNCT
ejpam-6084	33	5	◦	◦	NOUN
ejpam-6084	33	6	b2	b2	NOUN
ejpam-6084	33	7	)	)	PUNCT
ejpam-6084	33	8	◦	◦	NOUN
ejpam-6084	33	9	b3	b3	NOUN
ejpam-6084	33	10	+	+	CCONJ
ejpam-6084	33	11	(	(	PUNCT
ejpam-6084	33	12	b1	b1	PROPN
ejpam-6084	33	13	◦	◦	NOUN
ejpam-6084	33	14	ψ(b2	ψ(b2	NOUN
ejpam-6084	33	15	)	)	PUNCT
ejpam-6084	33	16	)	)	PUNCT
ejpam-6084	33	17	◦	◦	NOUN
ejpam-6084	33	18	b3	b3	PROPN
ejpam-6084	33	19	+	+	CCONJ
ejpam-6084	33	20	(	(	PUNCT
ejpam-6084	33	21	b1	b1	PROPN
ejpam-6084	33	22	◦	◦	NOUN
ejpam-6084	33	23	b2	b2	NOUN
ejpam-6084	33	24	)	)	PUNCT
ejpam-6084	33	25	◦	◦	NOUN
ejpam-6084	33	26	ψ(b3	ψ(b3	NOUN
ejpam-6084	33	27	)	)	PUNCT
ejpam-6084	33	28	)	)	PUNCT
ejpam-6084	33	29	holds	hold	VERB
ejpam-6084	33	30	for	for	ADP
ejpam-6084	33	31	all	all	DET
ejpam-6084	33	32	b1	b1	NOUN
ejpam-6084	33	33	,	,	PUNCT
ejpam-6084	33	34	b2	b2	NOUN
ejpam-6084	33	35	,	,	PUNCT
ejpam-6084	33	36	b3	b3	PROPN
ejpam-6084	33	37	∈	∈	PROPN
ejpam-6084	33	38	b.	b.	PROPN
ejpam-6084	33	39	analogously	analogously	ADV
ejpam-6084	33	40	,	,	PUNCT
ejpam-6084	33	41	an	an	DET
ejpam-6084	33	42	additive	additive	ADJ
ejpam-6084	33	43	mapping	mapping	NOUN
ejpam-6084	33	44	ψ	ψ	X
ejpam-6084	33	45	:	:	PUNCT
ejpam-6084	33	46	b	b	X
ejpam-6084	33	47	→	→	SYM
ejpam-6084	33	48	b	b	PROPN
ejpam-6084	33	49	is	be	AUX
ejpam-6084	33	50	said	say	VERB
ejpam-6084	33	51	to	to	PART
ejpam-6084	33	52	be	be	AUX
ejpam-6084	33	53	a	a	DET
ejpam-6084	33	54	skew	skew	ADJ
ejpam-6084	33	55	-	-	PUNCT
ejpam-6084	33	56	jordan	jordan	NOUN
ejpam-6084	33	57	derivation	derivation	NOUN
ejpam-6084	33	58	(	(	PUNCT
ejpam-6084	33	59	respectively	respectively	ADV
ejpam-6084	33	60	skew	skew	NOUN
ejpam-6084	33	61	-	-	PUNCT
ejpam-6084	33	62	jordan	jordan	NOUN
ejpam-6084	33	63	triple	triple	ADJ
ejpam-6084	33	64	derivation	derivation	NOUN
ejpam-6084	33	65	)	)	PUNCT
ejpam-6084	33	66	if	if	SCONJ
ejpam-6084	33	67	ψ(b1	ψ(b1	NOUN
ejpam-6084	33	68	•b2	•b2	VERB
ejpam-6084	33	69	)	)	PUNCT
ejpam-6084	33	70	=	=	SYM
ejpam-6084	33	71	ψ(b1	ψ(b1	NOUN
ejpam-6084	33	72	)	)	PUNCT
ejpam-6084	33	73	•b2	•b2	VERB
ejpam-6084	33	74	+	+	ADJ
ejpam-6084	33	75	b1	b1	NOUN
ejpam-6084	33	76	•ψ(b2	•ψ(b2	PROPN
ejpam-6084	33	77	)	)	PUNCT
ejpam-6084	33	78	(	(	PUNCT
ejpam-6084	33	79	resp	resp	NOUN
ejpam-6084	33	80	.	.	PUNCT
ejpam-6084	34	1	ψ((b1	ψ((b1	VERB
ejpam-6084	34	2	•b2	•b2	NUM
ejpam-6084	34	3	)	)	PUNCT
ejpam-6084	34	4	•b3	•b3	NOUN
ejpam-6084	34	5	)	)	PUNCT
ejpam-6084	35	1	=	=	SYM
ejpam-6084	35	2	(	(	PUNCT
ejpam-6084	35	3	ψ(b1	ψ(b1	NOUN
ejpam-6084	35	4	)	)	PUNCT
ejpam-6084	35	5	•b2	•b2	PROPN
ejpam-6084	35	6	)	)	PUNCT
ejpam-6084	35	7	•b3	•b3	NOUN
ejpam-6084	35	8	+	+	CCONJ
ejpam-6084	35	9	(	(	PUNCT
ejpam-6084	35	10	b1	b1	PROPN
ejpam-6084	35	11	•ψ(b2	•ψ(b2	PROPN
ejpam-6084	35	12	)	)	PUNCT
ejpam-6084	35	13	)	)	PUNCT
ejpam-6084	35	14	•b3	•b3	NOUN
ejpam-6084	35	15	+	+	CCONJ
ejpam-6084	35	16	(	(	PUNCT
ejpam-6084	35	17	b1	b1	NOUN
ejpam-6084	35	18	•b	•b	NOUN
ejpam-6084	35	19	)	)	PUNCT
ejpam-6084	35	20	•ψ(b3	•ψ(b3	PROPN
ejpam-6084	35	21	)	)	PUNCT
ejpam-6084	35	22	)	)	PUNCT
ejpam-6084	35	23	holds	hold	VERB
ejpam-6084	35	24	for	for	ADP
ejpam-6084	35	25	all	all	DET
ejpam-6084	35	26	b1	b1	NOUN
ejpam-6084	35	27	,	,	PUNCT
ejpam-6084	35	28	b2	b2	NOUN
ejpam-6084	35	29	,	,	PUNCT
ejpam-6084	35	30	b3	b3	PROPN
ejpam-6084	35	31	∈	∈	PROPN
ejpam-6084	35	32	b.	b.	PROPN
ejpam-6084	36	1	in	in	ADP
ejpam-6084	36	2	case	case	NOUN
ejpam-6084	36	3	the	the	DET
ejpam-6084	36	4	mappings	mapping	NOUN
ejpam-6084	36	5	ψ	ψ	NOUN
ejpam-6084	36	6	is	be	AUX
ejpam-6084	36	7	not	not	PART
ejpam-6084	36	8	necessarily	necessarily	ADV
ejpam-6084	36	9	additive	additive	ADJ
ejpam-6084	36	10	in	in	ADP
ejpam-6084	36	11	the	the	DET
ejpam-6084	36	12	above	above	ADJ
ejpam-6084	36	13	definitions	definition	NOUN
ejpam-6084	36	14	,	,	PUNCT
ejpam-6084	36	15	then	then	ADV
ejpam-6084	36	16	ψ	ψ	X
ejpam-6084	36	17	is	be	AUX
ejpam-6084	36	18	called	call	VERB
ejpam-6084	36	19	a	a	DET
ejpam-6084	36	20	multiplicative	multiplicative	ADJ
ejpam-6084	36	21	jordan	jordan	PROPN
ejpam-6084	36	22	derivation	derivation	NOUN
ejpam-6084	36	23	(	(	PUNCT
ejpam-6084	36	24	respectively	respectively	ADV
ejpam-6084	36	25	multiplicative	multiplicative	ADJ
ejpam-6084	36	26	jordan	jordan	PROPN
ejpam-6084	36	27	triple	triple	ADJ
ejpam-6084	36	28	derivation	derivation	NOUN
ejpam-6084	36	29	)	)	PUNCT
ejpam-6084	36	30	and	and	CCONJ
ejpam-6084	36	31	multiplicative	multiplicative	ADJ
ejpam-6084	36	32	skew	skew	PROPN
ejpam-6084	36	33	jordan	jordan	PROPN
ejpam-6084	36	34	derivation	derivation	PROPN
ejpam-6084	36	35	(	(	PUNCT
ejpam-6084	36	36	respectively	respectively	ADV
ejpam-6084	36	37	multiplicative	multiplicative	ADJ
ejpam-6084	36	38	skew	skew	NOUN
ejpam-6084	36	39	jordan	jordan	PROPN
ejpam-6084	36	40	triple	triple	ADJ
ejpam-6084	36	41	derivation	derivation	NOUN
ejpam-6084	36	42	.	.	PUNCT
ejpam-6084	37	1	in	in	ADP
ejpam-6084	37	2	recent	recent	ADJ
ejpam-6084	37	3	years	year	NOUN
ejpam-6084	37	4	,	,	PUNCT
ejpam-6084	37	5	many	many	ADJ
ejpam-6084	37	6	mathematicians	mathematician	NOUN
ejpam-6084	37	7	have	have	AUX
ejpam-6084	37	8	been	be	AUX
ejpam-6084	37	9	interested	interested	ADJ
ejpam-6084	37	10	in	in	ADP
ejpam-6084	37	11	mappings	mapping	NOUN
ejpam-6084	37	12	with	with	ADP
ejpam-6084	37	13	different	different	ADJ
ejpam-6084	37	14	kinds	kind	NOUN
ejpam-6084	37	15	of	of	ADP
ejpam-6084	37	16	algebras	algebra	NOUN
ejpam-6084	37	17	and	and	CCONJ
ejpam-6084	37	18	rings	ring	NOUN
ejpam-6084	37	19	.	.	PUNCT
ejpam-6084	38	1	these	these	DET
ejpam-6084	38	2	findings	finding	NOUN
ejpam-6084	38	3	to	to	PART
ejpam-6084	38	4	be	be	AUX
ejpam-6084	38	5	becoming	become	VERB
ejpam-6084	38	6	more	more	ADV
ejpam-6084	38	7	and	and	CCONJ
ejpam-6084	38	8	more	more	ADV
ejpam-6084	38	9	important	important	ADJ
ejpam-6084	38	10	in	in	ADP
ejpam-6084	38	11	a	a	DET
ejpam-6084	38	12	variety	variety	NOUN
ejpam-6084	38	13	of	of	ADP
ejpam-6084	38	14	research	research	NOUN
ejpam-6084	38	15	areas	area	NOUN
ejpam-6084	38	16	,	,	PUNCT
ejpam-6084	38	17	and	and	CCONJ
ejpam-6084	38	18	many	many	ADJ
ejpam-6084	38	19	authors	author	NOUN
ejpam-6084	38	20	have	have	AUX
ejpam-6084	38	21	taken	take	VERB
ejpam-6084	38	22	an	an	DET
ejpam-6084	38	23	interest	interest	NOUN
ejpam-6084	38	24	in	in	ADP
ejpam-6084	38	25	studying	study	VERB
ejpam-6084	38	26	them	they	PRON
ejpam-6084	38	27	.	.	PUNCT
ejpam-6084	39	1	(	(	PUNCT
ejpam-6084	39	2	see	see	VERB
ejpam-6084	39	3	[	[	X
ejpam-6084	39	4	1–6	1–6	NUM
ejpam-6084	39	5	]	]	X
ejpam-6084	39	6	)	)	PUNCT
ejpam-6084	39	7	.	.	PUNCT
ejpam-6084	40	1	define	define	VERB
ejpam-6084	40	2	a	a	DET
ejpam-6084	40	3	sequence	sequence	NOUN
ejpam-6084	40	4	of	of	ADP
ejpam-6084	40	5	polynomials	polynomial	NOUN
ejpam-6084	40	6	as	as	SCONJ
ejpam-6084	40	7	follows	follow	VERB
ejpam-6084	40	8	:	:	PUNCT
ejpam-6084	40	9	qn(b1	qn(b1	NOUN
ejpam-6084	40	10	,	,	PUNCT
ejpam-6084	40	11	b2	b2	NOUN
ejpam-6084	40	12	,	,	PUNCT
ejpam-6084	40	13	.	.	PUNCT
ejpam-6084	40	14	.	.	PUNCT
ejpam-6084	41	1	.	.	PUNCT
ejpam-6084	42	1	,	,	PUNCT
ejpam-6084	42	2	bn−1	bn−1	ADJ
ejpam-6084	42	3	,	,	PUNCT
ejpam-6084	42	4	bn	bn	ADJ
ejpam-6084	42	5	)	)	PUNCT
ejpam-6084	42	6	=	=	SYM
ejpam-6084	42	7	qn−1(b1	qn−1(b1	ADJ
ejpam-6084	42	8	,	,	PUNCT
ejpam-6084	42	9	b2	b2	NOUN
ejpam-6084	42	10	,	,	PUNCT
ejpam-6084	42	11	.	.	PUNCT
ejpam-6084	42	12	.	.	PUNCT
ejpam-6084	43	1	.	.	PUNCT
ejpam-6084	44	1	,	,	PUNCT
ejpam-6084	44	2	bn−1	bn−1	X
ejpam-6084	44	3	)	)	PUNCT
ejpam-6084	44	4	•bn	•bn	NOUN
ejpam-6084	44	5	(	(	PUNCT
ejpam-6084	44	6	n	n	CCONJ
ejpam-6084	44	7	≥	≥	NOUN
ejpam-6084	44	8	3	3	NUM
ejpam-6084	44	9	)	)	PUNCT
ejpam-6084	44	10	where	where	SCONJ
ejpam-6084	44	11	qn(b1	qn(b1	X
ejpam-6084	44	12	,	,	PUNCT
ejpam-6084	44	13	b2	b2	NOUN
ejpam-6084	44	14	,	,	PUNCT
ejpam-6084	44	15	.	.	PUNCT
ejpam-6084	44	16	.	.	PUNCT
ejpam-6084	45	1	.	.	PUNCT
ejpam-6084	46	1	,	,	PUNCT
ejpam-6084	46	2	bn−1	bn−1	ADJ
ejpam-6084	46	3	,	,	PUNCT
ejpam-6084	46	4	bn	bn	ADJ
ejpam-6084	46	5	)	)	PUNCT
ejpam-6084	46	6	=	=	SYM
ejpam-6084	46	7	qn−1(b1	qn−1(b1	ADJ
ejpam-6084	46	8	,	,	PUNCT
ejpam-6084	46	9	b2	b2	NOUN
ejpam-6084	46	10	,	,	PUNCT
ejpam-6084	46	11	.	.	PUNCT
ejpam-6084	46	12	.	.	PUNCT
ejpam-6084	46	13	.	.	PUNCT
ejpam-6084	47	1	bn−1	bn−1	X
ejpam-6084	47	2	)	)	PUNCT
ejpam-6084	47	3	•bn	•bn	NOUN
ejpam-6084	47	4	is	be	AUX
ejpam-6084	47	5	recognized	recognize	VERB
ejpam-6084	47	6	as	as	ADP
ejpam-6084	47	7	mixed	mixed	ADJ
ejpam-6084	47	8	-	-	PUNCT
ejpam-6084	47	9	jordan	jordan	PROPN
ejpam-6084	47	10	n	n	CCONJ
ejpam-6084	47	11	-	-	PUNCT
ejpam-6084	47	12	product	product	NOUN
ejpam-6084	47	13	.	.	PUNCT
ejpam-6084	48	1	we	we	PRON
ejpam-6084	48	2	have	have	VERB
ejpam-6084	48	3	q3(b1	q3(b1	NOUN
ejpam-6084	48	4	,	,	PUNCT
ejpam-6084	48	5	b2	b2	NOUN
ejpam-6084	48	6	,	,	PUNCT
ejpam-6084	48	7	b3	b3	PROPN
ejpam-6084	48	8	)	)	PUNCT
ejpam-6084	48	9	=	=	PUNCT
ejpam-6084	48	10	b1	b1	PROPN
ejpam-6084	48	11	◦	◦	NOUN
ejpam-6084	48	12	b2	b2	NOUN
ejpam-6084	48	13	•b3	•b3	NOUN
ejpam-6084	48	14	is	be	AUX
ejpam-6084	48	15	referred	refer	VERB
ejpam-6084	48	16	to	to	ADP
ejpam-6084	48	17	as	as	ADP
ejpam-6084	48	18	the	the	DET
ejpam-6084	48	19	mixed	mixed	PROPN
ejpam-6084	48	20	-	-	PUNCT
ejpam-6084	48	21	jordan	jordan	PROPN
ejpam-6084	48	22	triple	triple	ADJ
ejpam-6084	48	23	product	product	NOUN
ejpam-6084	48	24	(	(	PUNCT
ejpam-6084	48	25	see	see	VERB
ejpam-6084	48	26	[	[	X
ejpam-6084	48	27	7	7	NUM
ejpam-6084	48	28	]	]	NUM
ejpam-6084	48	29	)	)	PUNCT
ejpam-6084	48	30	,	,	PUNCT
ejpam-6084	48	31	for	for	ADP
ejpam-6084	48	32	n	n	NOUN
ejpam-6084	48	33	=	=	SYM
ejpam-6084	48	34	3	3	X
ejpam-6084	48	35	.	.	X
ejpam-6084	49	1	we	we	PRON
ejpam-6084	49	2	define	define	VERB
ejpam-6084	49	3	a	a	DET
ejpam-6084	49	4	mapping	mapping	NOUN
ejpam-6084	49	5	ψ	ψ	X
ejpam-6084	49	6	:	:	PUNCT
ejpam-6084	49	7	b	b	X
ejpam-6084	49	8	→	→	SYM
ejpam-6084	49	9	b	b	PROPN
ejpam-6084	49	10	(	(	PUNCT
ejpam-6084	49	11	not	not	PART
ejpam-6084	49	12	necessarily	necessarily	ADV
ejpam-6084	49	13	additive	additive	VERB
ejpam-6084	49	14	)	)	PUNCT
ejpam-6084	49	15	is	be	AUX
ejpam-6084	49	16	said	say	VERB
ejpam-6084	49	17	to	to	PART
ejpam-6084	49	18	be	be	AUX
ejpam-6084	49	19	multiplicative	multiplicative	ADJ
ejpam-6084	49	20	mixed	mixed	PROPN
ejpam-6084	49	21	-	-	PUNCT
ejpam-6084	49	22	jordan	jordan	PROPN
ejpam-6084	49	23	n	n	CCONJ
ejpam-6084	49	24	-	-	PUNCT
ejpam-6084	49	25	derivation	derivation	NOUN
ejpam-6084	49	26	if	if	SCONJ
ejpam-6084	49	27	ψ(qn(b1	ψ(qn(b1	NOUN
ejpam-6084	49	28	,	,	PUNCT
ejpam-6084	49	29	b2	b2	NOUN
ejpam-6084	49	30	,	,	PUNCT
ejpam-6084	49	31	.	.	PUNCT
ejpam-6084	49	32	.	.	PUNCT
ejpam-6084	49	33	.	.	PUNCT
ejpam-6084	50	1	,	,	PUNCT
ejpam-6084	50	2	bn	bn	NOUN
ejpam-6084	50	3	)	)	PUNCT
ejpam-6084	50	4	)	)	PUNCT
ejpam-6084	51	1	=	=	SYM
ejpam-6084	51	2	qn(ψ(b1	qn(ψ(b1	PROPN
ejpam-6084	51	3	)	)	PUNCT
ejpam-6084	51	4	,	,	PUNCT
ejpam-6084	51	5	b2	b2	NOUN
ejpam-6084	51	6	,	,	PUNCT
ejpam-6084	51	7	.	.	PUNCT
ejpam-6084	51	8	.	.	PUNCT
ejpam-6084	51	9	.	.	PUNCT
ejpam-6084	52	1	,	,	PUNCT
ejpam-6084	52	2	bn	bn	X
ejpam-6084	52	3	)	)	PUNCT
ejpam-6084	52	4	+	+	NOUN
ejpam-6084	52	5	qn(b1,ψ(b2	qn(b1,ψ(b2	NOUN
ejpam-6084	52	6	)	)	PUNCT
ejpam-6084	52	7	,	,	PUNCT
ejpam-6084	52	8	.	.	PUNCT
ejpam-6084	52	9	.	.	PUNCT
ejpam-6084	53	1	.	.	PUNCT
ejpam-6084	54	1	,	,	PUNCT
ejpam-6084	54	2	bn	bn	X
ejpam-6084	54	3	)	)	PUNCT
ejpam-6084	54	4	+	+	CCONJ
ejpam-6084	54	5	·	·	PUNCT
ejpam-6084	54	6	·	·	PUNCT
ejpam-6084	54	7	·	·	PUNCT
ejpam-6084	54	8	+	+	NOUN
ejpam-6084	54	9	qn(b1	qn(b1	NOUN
ejpam-6084	54	10	,	,	PUNCT
ejpam-6084	54	11	b2	b2	NOUN
ejpam-6084	54	12	,	,	PUNCT
ejpam-6084	54	13	.	.	PUNCT
ejpam-6084	54	14	.	.	PUNCT
ejpam-6084	55	1	.	.	PUNCT
ejpam-6084	56	1	,	,	PUNCT
ejpam-6084	56	2	ψ(bn	ψ(bn	NOUN
ejpam-6084	56	3	)	)	PUNCT
ejpam-6084	56	4	)	)	PUNCT
ejpam-6084	57	1	for	for	ADP
ejpam-6084	57	2	all	all	DET
ejpam-6084	57	3	b1	b1	NOUN
ejpam-6084	57	4	,	,	PUNCT
ejpam-6084	57	5	b2	b2	NOUN
ejpam-6084	57	6	,	,	PUNCT
ejpam-6084	57	7	.	.	PUNCT
ejpam-6084	57	8	.	.	PUNCT
ejpam-6084	57	9	.	.	PUNCT
ejpam-6084	58	1	,	,	PUNCT
ejpam-6084	58	2	bn	bn	X
ejpam-6084	58	3	∈	∈	PROPN
ejpam-6084	58	4	b.	b.	PROPN
ejpam-6084	59	1	every	every	DET
ejpam-6084	59	2	multiplicative	multiplicative	ADJ
ejpam-6084	59	3	mixed	mix	VERB
ejpam-6084	59	4	-	-	PUNCT
ejpam-6084	59	5	jordan	jordan	PROPN
ejpam-6084	59	6	3	3	NUM
ejpam-6084	59	7	-	-	PUNCT
ejpam-6084	59	8	derivations	derivation	NOUN
ejpam-6084	59	9	on	on	ADP
ejpam-6084	59	10	∅-rings	∅-rings	PROPN
ejpam-6084	59	11	is	be	AUX
ejpam-6084	59	12	a	a	DET
ejpam-6084	59	13	multiplicative	multiplicative	ADJ
ejpam-6084	59	14	mixedjordan	mixedjordan	NOUN
ejpam-6084	59	15	n	n	CCONJ
ejpam-6084	59	16	-	-	PUNCT
ejpam-6084	59	17	derivation	derivation	NOUN
ejpam-6084	59	18	,	,	PUNCT
ejpam-6084	59	19	in	in	ADP
ejpam-6084	59	20	general	general	ADJ
ejpam-6084	59	21	the	the	DET
ejpam-6084	59	22	converse	converse	NOUN
ejpam-6084	59	23	need	need	AUX
ejpam-6084	59	24	not	not	PART
ejpam-6084	59	25	be	be	AUX
ejpam-6084	59	26	true	true	ADJ
ejpam-6084	59	27	.	.	PUNCT
ejpam-6084	60	1	multiplicative	multiplicative	PROPN
ejpam-6084	60	2	mixedjordan	mixedjordan	PROPN
ejpam-6084	60	3	(	(	PUNCT
ejpam-6084	60	4	3	3	NUM
ejpam-6084	60	5	,	,	PUNCT
ejpam-6084	60	6	4	4	NUM
ejpam-6084	60	7	,	,	PUNCT
ejpam-6084	60	8	n)-derivation	n)-derivation	NOUN
ejpam-6084	60	9	are	be	AUX
ejpam-6084	60	10	en	en	PROPN
ejpam-6084	60	11	masse	masse	NOUN
ejpam-6084	60	12	recognized	recognize	VERB
ejpam-6084	60	13	as	as	ADP
ejpam-6084	60	14	multiplicative	multiplicative	ADJ
ejpam-6084	60	15	mixed	mix	VERB
ejpam-6084	60	16	-	-	PUNCT
ejpam-6084	60	17	jordan	jordan	NOUN
ejpam-6084	60	18	type	type	NOUN
ejpam-6084	60	19	derivations	derivation	NOUN
ejpam-6084	60	20	.	.	PUNCT
ejpam-6084	61	1	recently	recently	ADV
ejpam-6084	61	2	,	,	PUNCT
ejpam-6084	61	3	many	many	ADJ
ejpam-6084	61	4	researchers	researcher	NOUN
ejpam-6084	61	5	paid	pay	VERB
ejpam-6084	61	6	more	more	ADJ
ejpam-6084	61	7	attention	attention	NOUN
ejpam-6084	61	8	to	to	ADP
ejpam-6084	61	9	the	the	DET
ejpam-6084	61	10	study	study	NOUN
ejpam-6084	61	11	of	of	ADP
ejpam-6084	61	12	lie	lie	NOUN
ejpam-6084	61	13	(	(	PUNCT
ejpam-6084	61	14	jordan	jordan	PROPN
ejpam-6084	61	15	)	)	PUNCT
ejpam-6084	61	16	mappings	mapping	NOUN
ejpam-6084	61	17	involving	involve	VERB
ejpam-6084	61	18	two	two	NUM
ejpam-6084	61	19	different	different	ADJ
ejpam-6084	61	20	kinds	kind	NOUN
ejpam-6084	61	21	of	of	ADP
ejpam-6084	61	22	products	product	NOUN
ejpam-6084	61	23	at	at	ADP
ejpam-6084	61	24	the	the	DET
ejpam-6084	61	25	same	same	ADJ
ejpam-6084	61	26	time	time	NOUN
ejpam-6084	61	27	in	in	ADP
ejpam-6084	61	28	the	the	DET
ejpam-6084	61	29	nonlinear	nonlinear	ADJ
ejpam-6084	61	30	settings	setting	NOUN
ejpam-6084	61	31	in	in	ADP
ejpam-6084	61	32	[	[	X
ejpam-6084	61	33	8–10	8–10	NOUN
ejpam-6084	61	34	]	]	PUNCT
ejpam-6084	61	35	.	.	PUNCT
ejpam-6084	62	1	zhou	zhou	VERB
ejpam-6084	62	2	in	in	ADP
ejpam-6084	62	3	[	[	X
ejpam-6084	62	4	11	11	NUM
ejpam-6084	62	5	]	]	PUNCT
ejpam-6084	62	6	studied	study	VERB
ejpam-6084	62	7	that	that	SCONJ
ejpam-6084	62	8	:	:	PUNCT
ejpam-6084	62	9	every	every	DET
ejpam-6084	62	10	nonlinear	nonlinear	ADJ
ejpam-6084	62	11	mixed	mixed	ADJ
ejpam-6084	62	12	lie	lie	NOUN
ejpam-6084	62	13	-	-	PUNCT
ejpam-6084	62	14	triple	triple	ADJ
ejpam-6084	62	15	derivation	derivation	NOUN
ejpam-6084	62	16	on	on	ADP
ejpam-6084	62	17	unital	unital	ADJ
ejpam-6084	62	18	prime	prime	NOUN
ejpam-6084	62	19	∅-algebra	∅-algebra	PROPN
ejpam-6084	62	20	is	be	AUX
ejpam-6084	62	21	an	an	DET
ejpam-6084	62	22	additive	additive	ADJ
ejpam-6084	62	23	∅-derivation	∅-derivation	NOUN
ejpam-6084	62	24	.	.	PUNCT
ejpam-6084	63	1	rehman	rehman	NOUN
ejpam-6084	63	2	in	in	ADP
ejpam-6084	63	3	[	[	X
ejpam-6084	63	4	7	7	NUM
ejpam-6084	63	5	]	]	PUNCT
ejpam-6084	63	6	,	,	PUNCT
ejpam-6084	63	7	proved	prove	VERB
ejpam-6084	63	8	that	that	SCONJ
ejpam-6084	63	9	:	:	PUNCT
ejpam-6084	63	10	on	on	ADP
ejpam-6084	63	11	∅-algebras	∅-algebra	NOUN
ejpam-6084	63	12	,	,	PUNCT
ejpam-6084	63	13	all	all	DET
ejpam-6084	63	14	nonlinear	nonlinear	ADJ
ejpam-6084	63	15	mixed	mix	VERB
ejpam-6084	63	16	jordan	jordan	PROPN
ejpam-6084	63	17	-	-	PUNCT
ejpam-6084	63	18	triple	triple	ADJ
ejpam-6084	63	19	derivations	derivation	NOUN
ejpam-6084	63	20	qualify	qualify	VERB
ejpam-6084	63	21	as	as	ADP
ejpam-6084	63	22	additive	additive	ADJ
ejpam-6084	63	23	∅-derivation	∅-derivation	NOUN
ejpam-6084	63	24	.	.	PUNCT
ejpam-6084	64	1	the	the	DET
ejpam-6084	64	2	work	work	NOUN
ejpam-6084	64	3	of	of	ADP
ejpam-6084	64	4	ferreira	ferreira	PROPN
ejpam-6084	64	5	and	and	CCONJ
ejpam-6084	64	6	wei	wei	PROPN
ejpam-6084	64	7	in	in	ADP
ejpam-6084	64	8	[	[	X
ejpam-6084	64	9	12	12	NUM
ejpam-6084	64	10	]	]	PUNCT
ejpam-6084	64	11	focused	focus	VERB
ejpam-6084	64	12	on	on	ADP
ejpam-6084	64	13	characterizing	characterize	VERB
ejpam-6084	64	14	nonlinear	nonlinear	ADJ
ejpam-6084	64	15	mixed	mix	VERB
ejpam-6084	64	16	∅-jordantype	∅-jordantype	PROPN
ejpam-6084	64	17	derivations	derivation	NOUN
ejpam-6084	64	18	on	on	ADP
ejpam-6084	64	19	∅-algebras	∅-algebra	NOUN
ejpam-6084	64	20	.	.	PUNCT
ejpam-6084	65	1	they	they	PRON
ejpam-6084	65	2	established	establish	VERB
ejpam-6084	65	3	that	that	SCONJ
ejpam-6084	65	4	any	any	DET
ejpam-6084	65	5	nonlinear	nonlinear	ADJ
ejpam-6084	65	6	mixed	mix	VERB
ejpam-6084	65	7	∅-jordan	∅-jordan	PROPN
ejpam-6084	65	8	n	n	CCONJ
ejpam-6084	65	9	-	-	PUNCT
ejpam-6084	65	10	derivation	derivation	NOUN
ejpam-6084	65	11	is	be	AUX
ejpam-6084	65	12	an	an	DET
ejpam-6084	65	13	additive	additive	ADJ
ejpam-6084	65	14	∅-derivation	∅-derivation	NOUN
ejpam-6084	65	15	.	.	PUNCT
ejpam-6084	66	1	in	in	ADP
ejpam-6084	66	2	their	their	PRON
ejpam-6084	66	3	study	study	NOUN
ejpam-6084	66	4	presented	present	VERB
ejpam-6084	66	5	in	in	ADP
ejpam-6084	66	6	[	[	X
ejpam-6084	66	7	13	13	NUM
ejpam-6084	66	8	]	]	PUNCT
ejpam-6084	66	9	,	,	PUNCT
ejpam-6084	66	10	yu	yu	PROPN
ejpam-6084	66	11	et	et	PROPN
ejpam-6084	66	12	al	al	PROPN
ejpam-6084	66	13	.	.	PROPN
ejpam-6084	66	14	demonstrated	demonstrate	VERB
ejpam-6084	66	15	that	that	SCONJ
ejpam-6084	66	16	all	all	DET
ejpam-6084	66	17	skew	skew	ADJ
ejpam-6084	66	18	lie	lie	NOUN
ejpam-6084	66	19	derivations	derivation	NOUN
ejpam-6084	66	20	on	on	ADP
ejpam-6084	66	21	factor	factor	NOUN
ejpam-6084	66	22	von	von	PROPN
ejpam-6084	66	23	neumann	neumann	PROPN
ejpam-6084	66	24	algebras	algebras	PROPN
ejpam-6084	66	25	are	be	AUX
ejpam-6084	66	26	equivalent	equivalent	ADJ
ejpam-6084	66	27	to	to	PART
ejpam-6084	66	28	additive	additive	VERB
ejpam-6084	66	29	∅-derivations	∅-derivation	NOUN
ejpam-6084	66	30	.	.	PUNCT
ejpam-6084	67	1	in	in	ADP
ejpam-6084	67	2	a	a	DET
ejpam-6084	67	3	recent	recent	ADJ
ejpam-6084	67	4	work	work	NOUN
ejpam-6084	67	5	,	,	PUNCT
ejpam-6084	67	6	kong	kong	PROPN
ejpam-6084	67	7	and	and	CCONJ
ejpam-6084	67	8	zhang	zhang	PROPN
ejpam-6084	67	9	[	[	X
ejpam-6084	67	10	14	14	NUM
ejpam-6084	67	11	]	]	PUNCT
ejpam-6084	67	12	generalized	generalize	VERB
ejpam-6084	67	13	this	this	DET
ejpam-6084	67	14	result	result	NOUN
ejpam-6084	67	15	to	to	ADP
ejpam-6084	67	16	md	md	PROPN
ejpam-6084	67	17	arshad	arshad	PROPN
ejpam-6084	67	18	madni	madni	PROPN
ejpam-6084	67	19	et	et	PROPN
ejpam-6084	67	20	al	al	PROPN
ejpam-6084	67	21	.	.	PUNCT
ejpam-6084	67	22	/	/	SYM
ejpam-6084	67	23	eur	eur	PROPN
ejpam-6084	67	24	.	.	PUNCT
ejpam-6084	68	1	j.	j.	PROPN
ejpam-6084	68	2	pure	pure	PROPN
ejpam-6084	68	3	appl	appl	PROPN
ejpam-6084	68	4	.	.	PROPN
ejpam-6084	68	5	math	math	PROPN
ejpam-6084	68	6	,	,	PUNCT
ejpam-6084	68	7	18	18	NUM
ejpam-6084	68	8	(	(	PUNCT
ejpam-6084	68	9	2	2	NUM
ejpam-6084	68	10	)	)	PUNCT
ejpam-6084	68	11	(	(	PUNCT
ejpam-6084	68	12	2025	2025	NUM
ejpam-6084	68	13	)	)	PUNCT
ejpam-6084	68	14	,	,	PUNCT
ejpam-6084	68	15	6084	6084	NUM
ejpam-6084	68	16	3	3	NUM
ejpam-6084	68	17	of	of	ADP
ejpam-6084	68	18	16	16	NUM
ejpam-6084	68	19	prime	prime	ADJ
ejpam-6084	68	20	∅-rings	∅-rings	PROPN
ejpam-6084	69	1	and	and	CCONJ
ejpam-6084	69	2	proved	prove	VERB
ejpam-6084	69	3	that	that	SCONJ
ejpam-6084	69	4	every	every	DET
ejpam-6084	69	5	skew	skew	NOUN
ejpam-6084	69	6	lie	lie	NOUN
ejpam-6084	69	7	derivation	derivation	NOUN
ejpam-6084	69	8	on	on	ADP
ejpam-6084	69	9	2	2	NUM
ejpam-6084	69	10	-	-	PUNCT
ejpam-6084	69	11	torsion	torsion	NOUN
ejpam-6084	69	12	prime	prime	NOUN
ejpam-6084	69	13	∅-ring	∅-ring	PROPN
ejpam-6084	69	14	is	be	AUX
ejpam-6084	69	15	an	an	DET
ejpam-6084	69	16	additive	additive	ADJ
ejpam-6084	69	17	∅-derivation	∅-derivation	NOUN
ejpam-6084	69	18	.	.	PUNCT
ejpam-6084	70	1	the	the	DET
ejpam-6084	70	2	assumption	assumption	NOUN
ejpam-6084	70	3	1	1	NUM
ejpam-6084	70	4	2	2	NUM
ejpam-6084	70	5	∈	∈	NOUN
ejpam-6084	70	6	b	b	NOUN
ejpam-6084	70	7	holds	hold	VERB
ejpam-6084	70	8	throughout	throughout	ADP
ejpam-6084	70	9	the	the	DET
ejpam-6084	70	10	discussion	discussion	NOUN
ejpam-6084	70	11	.	.	PUNCT
ejpam-6084	71	1	inspired	inspire	VERB
ejpam-6084	71	2	by	by	ADP
ejpam-6084	71	3	the	the	DET
ejpam-6084	71	4	preceding	precede	VERB
ejpam-6084	71	5	studies	study	NOUN
ejpam-6084	71	6	,	,	PUNCT
ejpam-6084	71	7	this	this	DET
ejpam-6084	71	8	paper	paper	NOUN
ejpam-6084	71	9	examines	examine	VERB
ejpam-6084	71	10	the	the	DET
ejpam-6084	71	11	relationship	relationship	NOUN
ejpam-6084	71	12	between	between	ADP
ejpam-6084	71	13	multiplicative	multiplicative	ADJ
ejpam-6084	71	14	mixed	mix	VERB
ejpam-6084	71	15	-	-	PUNCT
ejpam-6084	71	16	jordan	jordan	PROPN
ejpam-6084	71	17	n	n	CCONJ
ejpam-6084	71	18	-	-	PUNCT
ejpam-6084	71	19	derivations	derivation	NOUN
ejpam-6084	71	20	and	and	CCONJ
ejpam-6084	71	21	additive	additive	ADJ
ejpam-6084	71	22	∅-derivation	∅-derivation	NOUN
ejpam-6084	71	23	in	in	ADP
ejpam-6084	71	24	arbitrary	arbitrary	ADJ
ejpam-6084	71	25	∅-rings	∅-ring	NOUN
ejpam-6084	71	26	.	.	PUNCT
ejpam-6084	72	1	our	our	PRON
ejpam-6084	72	2	results	result	NOUN
ejpam-6084	72	3	demonstrate	demonstrate	VERB
ejpam-6084	72	4	that	that	SCONJ
ejpam-6084	72	5	,	,	PUNCT
ejpam-6084	72	6	under	under	ADP
ejpam-6084	72	7	specific	specific	ADJ
ejpam-6084	72	8	conditions	condition	NOUN
ejpam-6084	72	9	,	,	PUNCT
ejpam-6084	72	10	every	every	DET
ejpam-6084	72	11	multiplicative	multiplicative	ADJ
ejpam-6084	72	12	mixed	mix	VERB
ejpam-6084	72	13	-	-	PUNCT
ejpam-6084	72	14	jordan	jordan	NOUN
ejpam-6084	72	15	nderivation	nderivation	NOUN
ejpam-6084	72	16	defined	define	VERB
ejpam-6084	72	17	is	be	AUX
ejpam-6084	72	18	an	an	DET
ejpam-6084	72	19	additive	additive	ADJ
ejpam-6084	72	20	∅-derivation	∅-derivation	NOUN
ejpam-6084	72	21	,	,	PUNCT
ejpam-6084	72	22	on	on	ADP
ejpam-6084	72	23	∅-ring	∅-ring	PROPN
ejpam-6084	72	24	with	with	ADP
ejpam-6084	72	25	unity	unity	NOUN
ejpam-6084	72	26	.	.	PUNCT
ejpam-6084	73	1	2	2	X
ejpam-6084	73	2	.	.	X
ejpam-6084	73	3	the	the	DET
ejpam-6084	73	4	principal	principal	ADJ
ejpam-6084	73	5	conclusion	conclusion	NOUN
ejpam-6084	73	6	the	the	DET
ejpam-6084	73	7	key	key	ADJ
ejpam-6084	73	8	result	result	NOUN
ejpam-6084	73	9	of	of	ADP
ejpam-6084	73	10	this	this	DET
ejpam-6084	73	11	work	work	NOUN
ejpam-6084	73	12	can	can	AUX
ejpam-6084	73	13	be	be	AUX
ejpam-6084	73	14	summarized	summarize	VERB
ejpam-6084	73	15	as	as	SCONJ
ejpam-6084	73	16	follows	follow	VERB
ejpam-6084	73	17	:	:	PUNCT
ejpam-6084	73	18	theorem	theorem	NOUN
ejpam-6084	73	19	1	1	NUM
ejpam-6084	73	20	.	.	PUNCT
ejpam-6084	73	21	suppose	suppose	VERB
ejpam-6084	73	22	that	that	SCONJ
ejpam-6084	73	23	b	b	PROPN
ejpam-6084	73	24	is	be	AUX
ejpam-6084	73	25	a	a	DET
ejpam-6084	73	26	2	2	NUM
ejpam-6084	73	27	-	-	PUNCT
ejpam-6084	73	28	torsion	torsion	NOUN
ejpam-6084	73	29	free	free	ADJ
ejpam-6084	73	30	∅-ring	∅-ring	PROPN
ejpam-6084	73	31	having	have	VERB
ejpam-6084	73	32	unity	unity	NOUN
ejpam-6084	73	33	u	u	NOUN
ejpam-6084	73	34	containing	contain	VERB
ejpam-6084	73	35	a	a	DET
ejpam-6084	73	36	nontrivial	nontrivial	ADJ
ejpam-6084	73	37	symmetric	symmetric	ADJ
ejpam-6084	73	38	idempotent	idempotent	ADJ
ejpam-6084	73	39	α1	α1	PROPN
ejpam-6084	73	40	.	.	PUNCT
ejpam-6084	74	1	write	write	VERB
ejpam-6084	74	2	α2	α2	PROPN
ejpam-6084	74	3	=	=	SYM
ejpam-6084	74	4	u−	u−	PROPN
ejpam-6084	74	5	α1	α1	PROPN
ejpam-6084	74	6	and	and	CCONJ
ejpam-6084	74	7	assume	assume	VERB
ejpam-6084	74	8	that	that	SCONJ
ejpam-6084	74	9	b	b	X
ejpam-6084	74	10	fullfils	fullfil	NOUN
ejpam-6084	74	11	y	y	PRON
ejpam-6084	74	12	bαk	bαk	VERB
ejpam-6084	74	13	=	=	NOUN
ejpam-6084	74	14	0	0	PUNCT
ejpam-6084	75	1	=	=	NOUN
ejpam-6084	75	2	⇒	⇒	X
ejpam-6084	75	3	y	y	PROPN
ejpam-6084	75	4	=	=	PUNCT
ejpam-6084	75	5	0	0	NUM
ejpam-6084	75	6	for	for	ADP
ejpam-6084	75	7	k	k	PROPN
ejpam-6084	75	8	=	=	SYM
ejpam-6084	75	9	1	1	NUM
ejpam-6084	75	10	,	,	PUNCT
ejpam-6084	75	11	2	2	NUM
ejpam-6084	75	12	(	(	PUNCT
ejpam-6084	75	13	♠	♠	NOUN
ejpam-6084	75	14	)	)	PUNCT
ejpam-6084	75	15	where	where	SCONJ
ejpam-6084	75	16	y	y	PROPN
ejpam-6084	75	17	∈	∈	PROPN
ejpam-6084	75	18	b.	b.	PROPN
ejpam-6084	75	19	then	then	ADV
ejpam-6084	75	20	a	a	DET
ejpam-6084	75	21	map	map	NOUN
ejpam-6084	75	22	ψ	ψ	X
ejpam-6084	75	23	:	:	PUNCT
ejpam-6084	75	24	b	b	X
ejpam-6084	75	25	→	→	SYM
ejpam-6084	75	26	b	b	PROPN
ejpam-6084	75	27	(	(	PUNCT
ejpam-6084	75	28	need	need	AUX
ejpam-6084	75	29	not	not	PART
ejpam-6084	75	30	necessarily	necessarily	ADV
ejpam-6084	75	31	additive	additive	VERB
ejpam-6084	75	32	)	)	PUNCT
ejpam-6084	75	33	satisfies	satisfie	NOUN
ejpam-6084	75	34	ψ(qn(b1	ψ(qn(b1	NOUN
ejpam-6084	75	35	,	,	PUNCT
ejpam-6084	75	36	b2	b2	NOUN
ejpam-6084	75	37	,	,	PUNCT
ejpam-6084	75	38	.	.	PUNCT
ejpam-6084	75	39	.	.	PUNCT
ejpam-6084	75	40	.	.	PUNCT
ejpam-6084	76	1	,	,	PUNCT
ejpam-6084	76	2	bn	bn	NOUN
ejpam-6084	76	3	)	)	PUNCT
ejpam-6084	76	4	)	)	PUNCT
ejpam-6084	77	1	=	=	PUNCT
ejpam-6084	78	1	n∑	n∑	PROPN
ejpam-6084	78	2	i=1	i=1	PROPN
ejpam-6084	78	3	qn(b1	qn(b1	PROPN
ejpam-6084	78	4	,	,	PUNCT
ejpam-6084	78	5	.	.	PUNCT
ejpam-6084	78	6	.	.	PUNCT
ejpam-6084	78	7	.	.	PUNCT
ejpam-6084	79	1	,	,	PUNCT
ejpam-6084	79	2	bi−1,ψ(bi	bi−1,ψ(bi	NOUN
ejpam-6084	79	3	)	)	PUNCT
ejpam-6084	79	4	,	,	PUNCT
ejpam-6084	79	5	bi+1	bi+1	NOUN
ejpam-6084	79	6	,	,	PUNCT
ejpam-6084	79	7	.	.	PUNCT
ejpam-6084	79	8	.	.	PUNCT
ejpam-6084	80	1	.	.	PUNCT
ejpam-6084	81	1	,	,	PUNCT
ejpam-6084	81	2	bn	bn	X
ejpam-6084	81	3	)	)	PUNCT
ejpam-6084	81	4	(	(	PUNCT
ejpam-6084	81	5	2.1	2.1	NUM
ejpam-6084	81	6	)	)	PUNCT
ejpam-6084	81	7	for	for	ADP
ejpam-6084	81	8	all	all	DET
ejpam-6084	81	9	b1	b1	NOUN
ejpam-6084	81	10	,	,	PUNCT
ejpam-6084	81	11	b2	b2	NOUN
ejpam-6084	81	12	,	,	PUNCT
ejpam-6084	81	13	.	.	PUNCT
ejpam-6084	81	14	.	.	PUNCT
ejpam-6084	82	1	.	.	PUNCT
ejpam-6084	83	1	,	,	PUNCT
ejpam-6084	83	2	bn	bn	X
ejpam-6084	83	3	∈	∈	PROPN
ejpam-6084	83	4	b	b	NOUN
ejpam-6084	83	5	if	if	SCONJ
ejpam-6084	83	6	and	and	CCONJ
ejpam-6084	83	7	only	only	ADV
ejpam-6084	83	8	if	if	SCONJ
ejpam-6084	83	9	ψ	ψ	NOUN
ejpam-6084	83	10	is	be	AUX
ejpam-6084	83	11	an	an	DET
ejpam-6084	83	12	additive	additive	ADJ
ejpam-6084	83	13	∅-derivation	∅-derivation	NOUN
ejpam-6084	83	14	.	.	PUNCT
ejpam-6084	84	1	assume	assume	VERB
ejpam-6084	84	2	bij	bij	PROPN
ejpam-6084	84	3	=	=	PUNCT
ejpam-6084	84	4	pibpj	pibpj	VERB
ejpam-6084	84	5	with	with	ADP
ejpam-6084	84	6	i	i	PROPN
ejpam-6084	84	7	,	,	PUNCT
ejpam-6084	84	8	j	j	PROPN
ejpam-6084	84	9	=	=	SYM
ejpam-6084	84	10	1	1	NUM
ejpam-6084	84	11	,	,	PUNCT
ejpam-6084	84	12	2	2	NUM
ejpam-6084	84	13	,	,	PUNCT
ejpam-6084	84	14	then	then	ADV
ejpam-6084	84	15	by	by	ADP
ejpam-6084	84	16	the	the	DET
ejpam-6084	84	17	peirce	peirce	NOUN
ejpam-6084	84	18	decomposition	decomposition	NOUN
ejpam-6084	84	19	,	,	PUNCT
ejpam-6084	84	20	we	we	PRON
ejpam-6084	84	21	have	have	VERB
ejpam-6084	84	22	b	b	NOUN
ejpam-6084	84	23	=	=	SYM
ejpam-6084	84	24	b11	b11	PROPN
ejpam-6084	84	25	⊕	⊕	PROPN
ejpam-6084	84	26	b12	b12	PROPN
ejpam-6084	84	27	⊕	⊕	PROPN
ejpam-6084	84	28	b21	b21	PROPN
ejpam-6084	84	29	⊕	⊕	PROPN
ejpam-6084	84	30	b22	b22	PROPN
ejpam-6084	84	31	.	.	PUNCT
ejpam-6084	85	1	clearly	clearly	ADV
ejpam-6084	85	2	any	any	DET
ejpam-6084	85	3	r	r	NOUN
ejpam-6084	85	4	∈	∈	NOUN
ejpam-6084	85	5	b	b	NOUN
ejpam-6084	85	6	can	can	AUX
ejpam-6084	85	7	be	be	AUX
ejpam-6084	85	8	written	write	VERB
ejpam-6084	85	9	as	as	ADP
ejpam-6084	85	10	r	r	NOUN
ejpam-6084	85	11	=	=	SYM
ejpam-6084	85	12	b11	b11	NOUN
ejpam-6084	85	13	+	+	NOUN
ejpam-6084	85	14	b12	b12	NOUN
ejpam-6084	85	15	+	+	SYM
ejpam-6084	85	16	b21	b21	PROPN
ejpam-6084	85	17	+	+	PROPN
ejpam-6084	85	18	b22	b22	PROPN
ejpam-6084	85	19	,	,	PUNCT
ejpam-6084	85	20	where	where	SCONJ
ejpam-6084	85	21	bij	bij	VERB
ejpam-6084	85	22	∈	∈	PROPN
ejpam-6084	85	23	bij	bij	NOUN
ejpam-6084	85	24	for	for	ADP
ejpam-6084	85	25	i	i	PROPN
ejpam-6084	85	26	,	,	PUNCT
ejpam-6084	85	27	j	j	PROPN
ejpam-6084	85	28	=	=	SYM
ejpam-6084	85	29	1	1	NUM
ejpam-6084	85	30	,	,	PUNCT
ejpam-6084	85	31	2	2	NUM
ejpam-6084	85	32	.	.	PUNCT
ejpam-6084	85	33	to	to	PART
ejpam-6084	85	34	conclude	conclude	VERB
ejpam-6084	85	35	the	the	DET
ejpam-6084	85	36	proof	proof	NOUN
ejpam-6084	85	37	of	of	ADP
ejpam-6084	85	38	the	the	DET
ejpam-6084	85	39	stated	state	VERB
ejpam-6084	85	40	theorem	theorem	PROPN
ejpam-6084	85	41	,	,	PUNCT
ejpam-6084	85	42	a	a	DET
ejpam-6084	85	43	number	number	NOUN
ejpam-6084	85	44	of	of	ADP
ejpam-6084	85	45	following	follow	VERB
ejpam-6084	85	46	lemmas	lemma	NOUN
ejpam-6084	85	47	are	be	AUX
ejpam-6084	85	48	necessary	necessary	ADJ
ejpam-6084	85	49	:	:	PUNCT
ejpam-6084	85	50	lemma	lemma	PROPN
ejpam-6084	85	51	1	1	X
ejpam-6084	85	52	.	.	PUNCT
ejpam-6084	86	1	ψ(0	ψ(0	VERB
ejpam-6084	86	2	)	)	PUNCT
ejpam-6084	87	1	=	=	SYM
ejpam-6084	87	2	0	0	X
ejpam-6084	87	3	.	.	PUNCT
ejpam-6084	88	1	proof	proof	NOUN
ejpam-6084	88	2	.	.	PUNCT
ejpam-6084	89	1	we	we	PRON
ejpam-6084	89	2	have	have	VERB
ejpam-6084	89	3	ψ(0	ψ(0	NOUN
ejpam-6084	89	4	)	)	PUNCT
ejpam-6084	89	5	=	=	SYM
ejpam-6084	89	6	ψ(qn(0	ψ(qn(0	NOUN
ejpam-6084	89	7	,	,	PUNCT
ejpam-6084	89	8	0	0	NUM
ejpam-6084	89	9	,	,	PUNCT
ejpam-6084	89	10	.	.	PUNCT
ejpam-6084	89	11	.	.	PUNCT
ejpam-6084	90	1	.	.	PUNCT
ejpam-6084	91	1	,	,	PUNCT
ejpam-6084	91	2	0	0	NUM
ejpam-6084	91	3	)	)	PUNCT
ejpam-6084	91	4	)	)	PUNCT
ejpam-6084	92	1	=	=	PUNCT
ejpam-6084	92	2	qn(ψ(0	qn(ψ(0	X
ejpam-6084	92	3	)	)	PUNCT
ejpam-6084	92	4	,	,	PUNCT
ejpam-6084	92	5	0	0	NUM
ejpam-6084	92	6	,	,	PUNCT
ejpam-6084	92	7	.	.	PUNCT
ejpam-6084	92	8	.	.	PUNCT
ejpam-6084	93	1	.	.	PUNCT
ejpam-6084	94	1	,	,	PUNCT
ejpam-6084	94	2	0	0	X
ejpam-6084	94	3	)	)	PUNCT
ejpam-6084	95	1	+	+	NOUN
ejpam-6084	95	2	qn(0,ψ(0	qn(0,ψ(0	NOUN
ejpam-6084	95	3	)	)	PUNCT
ejpam-6084	95	4	,	,	PUNCT
ejpam-6084	95	5	.	.	PUNCT
ejpam-6084	95	6	.	.	PUNCT
ejpam-6084	96	1	.	.	PUNCT
ejpam-6084	97	1	,	,	PUNCT
ejpam-6084	97	2	0	0	X
ejpam-6084	97	3	)	)	PUNCT
ejpam-6084	97	4	+	+	NUM
ejpam-6084	97	5	·	·	PUNCT
ejpam-6084	97	6	·	·	PUNCT
ejpam-6084	97	7	·	·	PUNCT
ejpam-6084	97	8	+	+	NOUN
ejpam-6084	97	9	qn(0	qn(0	NOUN
ejpam-6084	97	10	,	,	PUNCT
ejpam-6084	97	11	0	0	NUM
ejpam-6084	97	12	,	,	PUNCT
ejpam-6084	97	13	.	.	PUNCT
ejpam-6084	97	14	.	.	PUNCT
ejpam-6084	98	1	.	.	PUNCT
ejpam-6084	99	1	,	,	PUNCT
ejpam-6084	99	2	ψ(0	ψ(0	NOUN
ejpam-6084	99	3	)	)	PUNCT
ejpam-6084	99	4	)	)	PUNCT
ejpam-6084	100	1	=	=	PUNCT
ejpam-6084	100	2	0	0	X
ejpam-6084	100	3	.	.	PUNCT
ejpam-6084	101	1	lemma	lemma	PROPN
ejpam-6084	101	2	2	2	NUM
ejpam-6084	101	3	.	.	X
ejpam-6084	102	1	for	for	ADP
ejpam-6084	102	2	any	any	DET
ejpam-6084	102	3	b12	b12	NOUN
ejpam-6084	102	4	∈	∈	NOUN
ejpam-6084	102	5	b12	b12	NOUN
ejpam-6084	102	6	and	and	CCONJ
ejpam-6084	102	7	b21	b21	PROPN
ejpam-6084	102	8	∈	∈	PROPN
ejpam-6084	102	9	b21	b21	PROPN
ejpam-6084	102	10	,	,	PUNCT
ejpam-6084	102	11	we	we	PRON
ejpam-6084	102	12	have	have	VERB
ejpam-6084	102	13	ψ(b12	ψ(b12	NOUN
ejpam-6084	102	14	+	+	NOUN
ejpam-6084	102	15	b21	b21	NOUN
ejpam-6084	102	16	)	)	PUNCT
ejpam-6084	102	17	=	=	SYM
ejpam-6084	102	18	ψ(b12	ψ(b12	NOUN
ejpam-6084	102	19	)	)	PUNCT
ejpam-6084	103	1	+	+	CCONJ
ejpam-6084	103	2	ψ(b21	ψ(b21	NOUN
ejpam-6084	103	3	)	)	PUNCT
ejpam-6084	103	4	.	.	PUNCT
ejpam-6084	104	1	proof	proof	NOUN
ejpam-6084	104	2	.	.	PUNCT
ejpam-6084	105	1	let	let	VERB
ejpam-6084	105	2	h	h	NOUN
ejpam-6084	105	3	=	=	SYM
ejpam-6084	105	4	ψ(b12	ψ(b12	NOUN
ejpam-6084	105	5	+	+	CCONJ
ejpam-6084	105	6	b21	b21	PROPN
ejpam-6084	105	7	)	)	PUNCT
ejpam-6084	105	8	−	−	PROPN
ejpam-6084	105	9	ψ(b12	ψ(b12	NOUN
ejpam-6084	105	10	)	)	PUNCT
ejpam-6084	105	11	−	−	PROPN
ejpam-6084	105	12	ψ(b21	ψ(b21	NOUN
ejpam-6084	105	13	)	)	PUNCT
ejpam-6084	105	14	.	.	PUNCT
ejpam-6084	106	1	we	we	PRON
ejpam-6084	106	2	need	need	VERB
ejpam-6084	106	3	to	to	PART
ejpam-6084	106	4	prove	prove	VERB
ejpam-6084	106	5	that	that	DET
ejpam-6084	106	6	h	h	NOUN
ejpam-6084	106	7	=	=	NOUN
ejpam-6084	106	8	0	0	X
ejpam-6084	106	9	.	.	X
ejpam-6084	106	10	applying	apply	VERB
ejpam-6084	106	11	qn(u	qn(u	NOUN
ejpam-6084	106	12	,	,	PUNCT
ejpam-6084	106	13	u	u	NOUN
ejpam-6084	106	14	,	,	PUNCT
ejpam-6084	106	15	.	.	PUNCT
ejpam-6084	106	16	.	.	PUNCT
ejpam-6084	107	1	.	.	PUNCT
ejpam-6084	108	1	,	,	PUNCT
ejpam-6084	108	2	b12	b12	NOUN
ejpam-6084	108	3	,	,	PUNCT
ejpam-6084	108	4	α2	α2	ADJ
ejpam-6084	108	5	,	,	PUNCT
ejpam-6084	108	6	α1	α1	PROPN
ejpam-6084	108	7	)	)	PUNCT
ejpam-6084	108	8	=	=	SYM
ejpam-6084	108	9	0	0	NUM
ejpam-6084	108	10	and	and	CCONJ
ejpam-6084	108	11	lemma	lemma	PROPN
ejpam-6084	108	12	1	1	NUM
ejpam-6084	108	13	to	to	PART
ejpam-6084	108	14	get	get	VERB
ejpam-6084	108	15	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	108	16	,	,	PUNCT
ejpam-6084	108	17	u	u	NOUN
ejpam-6084	108	18	,	,	PUNCT
ejpam-6084	108	19	.	.	PUNCT
ejpam-6084	108	20	.	.	PUNCT
ejpam-6084	109	1	.	.	PUNCT
ejpam-6084	110	1	,	,	PUNCT
ejpam-6084	110	2	b12	b12	NOUN
ejpam-6084	110	3	+	+	SYM
ejpam-6084	110	4	b21	b21	PROPN
ejpam-6084	110	5	,	,	PUNCT
ejpam-6084	110	6	α2	α2	PROPN
ejpam-6084	110	7	,	,	PUNCT
ejpam-6084	110	8	α1	α1	PROPN
ejpam-6084	110	9	)	)	PUNCT
ejpam-6084	110	10	)	)	PUNCT
ejpam-6084	111	1	=	=	PUNCT
ejpam-6084	111	2	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	111	3	,	,	PUNCT
ejpam-6084	111	4	u	u	NOUN
ejpam-6084	111	5	,	,	PUNCT
ejpam-6084	111	6	.	.	PUNCT
ejpam-6084	111	7	.	.	PUNCT
ejpam-6084	111	8	.	.	PUNCT
ejpam-6084	112	1	,	,	PUNCT
ejpam-6084	112	2	b12	b12	NOUN
ejpam-6084	112	3	,	,	PUNCT
ejpam-6084	112	4	α2	α2	ADJ
ejpam-6084	112	5	,	,	PUNCT
ejpam-6084	112	6	α1	α1	PROPN
ejpam-6084	112	7	)	)	PUNCT
ejpam-6084	112	8	)	)	PUNCT
ejpam-6084	113	1	+	+	PUNCT
ejpam-6084	113	2	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	113	3	,	,	PUNCT
ejpam-6084	113	4	u	u	NOUN
ejpam-6084	113	5	,	,	PUNCT
ejpam-6084	113	6	.	.	PUNCT
ejpam-6084	113	7	.	.	PUNCT
ejpam-6084	113	8	.	.	PUNCT
ejpam-6084	114	1	,	,	PUNCT
ejpam-6084	114	2	b21	b21	PROPN
ejpam-6084	114	3	,	,	PUNCT
ejpam-6084	114	4	α2	α2	PROPN
ejpam-6084	114	5	,	,	PUNCT
ejpam-6084	114	6	α1	α1	PROPN
ejpam-6084	114	7	)	)	PUNCT
ejpam-6084	114	8	)	)	PUNCT
ejpam-6084	114	9	md	md	PROPN
ejpam-6084	114	10	arshad	arshad	PROPN
ejpam-6084	114	11	madni	madni	PROPN
ejpam-6084	114	12	et	et	PROPN
ejpam-6084	114	13	al	al	PROPN
ejpam-6084	114	14	.	.	PUNCT
ejpam-6084	114	15	/	/	SYM
ejpam-6084	114	16	eur	eur	PROPN
ejpam-6084	114	17	.	.	PUNCT
ejpam-6084	115	1	j.	j.	PROPN
ejpam-6084	115	2	pure	pure	PROPN
ejpam-6084	115	3	appl	appl	PROPN
ejpam-6084	115	4	.	.	PROPN
ejpam-6084	115	5	math	math	PROPN
ejpam-6084	115	6	,	,	PUNCT
ejpam-6084	115	7	18	18	NUM
ejpam-6084	115	8	(	(	PUNCT
ejpam-6084	115	9	2	2	NUM
ejpam-6084	115	10	)	)	PUNCT
ejpam-6084	115	11	(	(	PUNCT
ejpam-6084	115	12	2025	2025	NUM
ejpam-6084	115	13	)	)	PUNCT
ejpam-6084	115	14	,	,	PUNCT
ejpam-6084	115	15	6084	6084	NUM
ejpam-6084	115	16	4	4	NUM
ejpam-6084	115	17	of	of	ADP
ejpam-6084	115	18	16	16	NUM
ejpam-6084	115	19	=	=	SYM
ejpam-6084	115	20	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	115	21	)	)	PUNCT
ejpam-6084	115	22	,	,	PUNCT
ejpam-6084	115	23	u	u	NOUN
ejpam-6084	115	24	,	,	PUNCT
ejpam-6084	115	25	.	.	PUNCT
ejpam-6084	115	26	.	.	PUNCT
ejpam-6084	116	1	.	.	PUNCT
ejpam-6084	117	1	,	,	PUNCT
ejpam-6084	117	2	b12	b12	NOUN
ejpam-6084	117	3	,	,	PUNCT
ejpam-6084	117	4	α2	α2	ADJ
ejpam-6084	117	5	,	,	PUNCT
ejpam-6084	117	6	α1	α1	PROPN
ejpam-6084	117	7	)	)	PUNCT
ejpam-6084	117	8	+	+	NOUN
ejpam-6084	117	9	qn(u	qn(u	NOUN
ejpam-6084	117	10	,	,	PUNCT
ejpam-6084	117	11	ψ(u	ψ(u	PROPN
ejpam-6084	117	12	)	)	PUNCT
ejpam-6084	117	13	,	,	PUNCT
ejpam-6084	117	14	.	.	PUNCT
ejpam-6084	117	15	.	.	PUNCT
ejpam-6084	118	1	.	.	PUNCT
ejpam-6084	119	1	,	,	PUNCT
ejpam-6084	119	2	b12	b12	NOUN
ejpam-6084	119	3	,	,	PUNCT
ejpam-6084	119	4	α2	α2	ADJ
ejpam-6084	119	5	,	,	PUNCT
ejpam-6084	119	6	α1	α1	PROPN
ejpam-6084	119	7	)	)	PUNCT
ejpam-6084	119	8	+	+	CCONJ
ejpam-6084	119	9	·	·	PUNCT
ejpam-6084	119	10	·	·	PUNCT
ejpam-6084	119	11	·	·	PUNCT
ejpam-6084	120	1	+	+	NUM
ejpam-6084	120	2	qn(u	qn(u	NOUN
ejpam-6084	120	3	,	,	PUNCT
ejpam-6084	120	4	u	u	NOUN
ejpam-6084	120	5	,	,	PUNCT
ejpam-6084	120	6	.	.	PUNCT
ejpam-6084	120	7	.	.	PUNCT
ejpam-6084	120	8	.	.	PUNCT
ejpam-6084	121	1	,	,	PUNCT
ejpam-6084	121	2	ψ(b12	ψ(b12	NOUN
ejpam-6084	121	3	)	)	PUNCT
ejpam-6084	121	4	,	,	PUNCT
ejpam-6084	121	5	α2	α2	PROPN
ejpam-6084	121	6	,	,	PUNCT
ejpam-6084	121	7	α1	α1	PROPN
ejpam-6084	121	8	)	)	PUNCT
ejpam-6084	121	9	+	+	NOUN
ejpam-6084	121	10	qn(u	qn(u	NOUN
ejpam-6084	121	11	,	,	PUNCT
ejpam-6084	121	12	u	u	NOUN
ejpam-6084	121	13	,	,	PUNCT
ejpam-6084	121	14	.	.	PUNCT
ejpam-6084	121	15	.	.	PUNCT
ejpam-6084	122	1	.	.	PUNCT
ejpam-6084	123	1	,	,	PUNCT
ejpam-6084	123	2	b12,ψ(α2	b12,ψ(α2	NOUN
ejpam-6084	123	3	)	)	PUNCT
ejpam-6084	123	4	,	,	PUNCT
ejpam-6084	123	5	α1	α1	PROPN
ejpam-6084	123	6	)	)	PUNCT
ejpam-6084	123	7	+	+	NOUN
ejpam-6084	123	8	qn(u	qn(u	NOUN
ejpam-6084	123	9	,	,	PUNCT
ejpam-6084	123	10	u	u	NOUN
ejpam-6084	123	11	,	,	PUNCT
ejpam-6084	123	12	.	.	PUNCT
ejpam-6084	123	13	.	.	PUNCT
ejpam-6084	124	1	.	.	PUNCT
ejpam-6084	125	1	,	,	PUNCT
ejpam-6084	125	2	b12	b12	NOUN
ejpam-6084	125	3	,	,	PUNCT
ejpam-6084	125	4	α2	α2	ADJ
ejpam-6084	125	5	,	,	PUNCT
ejpam-6084	125	6	ψ(α1	ψ(α1	NOUN
ejpam-6084	125	7	)	)	PUNCT
ejpam-6084	125	8	)	)	PUNCT
ejpam-6084	126	1	+	+	PUNCT
ejpam-6084	126	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	126	3	)	)	PUNCT
ejpam-6084	126	4	,	,	PUNCT
ejpam-6084	126	5	u	u	NOUN
ejpam-6084	126	6	,	,	PUNCT
ejpam-6084	126	7	.	.	PUNCT
ejpam-6084	126	8	.	.	PUNCT
ejpam-6084	127	1	.	.	PUNCT
ejpam-6084	128	1	,	,	PUNCT
ejpam-6084	128	2	b21	b21	PROPN
ejpam-6084	128	3	,	,	PUNCT
ejpam-6084	128	4	α2	α2	PROPN
ejpam-6084	128	5	,	,	PUNCT
ejpam-6084	128	6	α1	α1	PROPN
ejpam-6084	128	7	)	)	PUNCT
ejpam-6084	129	1	+	+	NOUN
ejpam-6084	129	2	qn(u	qn(u	NOUN
ejpam-6084	129	3	,	,	PUNCT
ejpam-6084	129	4	ψ(u	ψ(u	PROPN
ejpam-6084	129	5	)	)	PUNCT
ejpam-6084	129	6	,	,	PUNCT
ejpam-6084	129	7	.	.	PUNCT
ejpam-6084	129	8	.	.	PUNCT
ejpam-6084	130	1	.	.	PUNCT
ejpam-6084	131	1	,	,	PUNCT
ejpam-6084	131	2	b21	b21	PROPN
ejpam-6084	131	3	,	,	PUNCT
ejpam-6084	131	4	α2	α2	PROPN
ejpam-6084	131	5	,	,	PUNCT
ejpam-6084	131	6	α1	α1	PROPN
ejpam-6084	131	7	)	)	PUNCT
ejpam-6084	131	8	+	+	CCONJ
ejpam-6084	131	9	·	·	PUNCT
ejpam-6084	131	10	·	·	PUNCT
ejpam-6084	131	11	·	·	PUNCT
ejpam-6084	132	1	+	+	NUM
ejpam-6084	132	2	qn(u	qn(u	NOUN
ejpam-6084	132	3	,	,	PUNCT
ejpam-6084	132	4	u	u	NOUN
ejpam-6084	132	5	,	,	PUNCT
ejpam-6084	132	6	.	.	PUNCT
ejpam-6084	132	7	.	.	PUNCT
ejpam-6084	132	8	.	.	PUNCT
ejpam-6084	133	1	,	,	PUNCT
ejpam-6084	133	2	ψ(b21	ψ(b21	NOUN
ejpam-6084	133	3	)	)	PUNCT
ejpam-6084	133	4	,	,	PUNCT
ejpam-6084	133	5	α2	α2	PROPN
ejpam-6084	133	6	,	,	PUNCT
ejpam-6084	133	7	α1	α1	PROPN
ejpam-6084	133	8	)	)	PUNCT
ejpam-6084	133	9	+	+	NOUN
ejpam-6084	133	10	qn(u	qn(u	NOUN
ejpam-6084	133	11	,	,	PUNCT
ejpam-6084	133	12	u	u	NOUN
ejpam-6084	133	13	,	,	PUNCT
ejpam-6084	133	14	.	.	PUNCT
ejpam-6084	133	15	.	.	PUNCT
ejpam-6084	134	1	.	.	PUNCT
ejpam-6084	135	1	,	,	PUNCT
ejpam-6084	135	2	b21,ψ(α2	b21,ψ(α2	PROPN
ejpam-6084	135	3	)	)	PUNCT
ejpam-6084	135	4	,	,	PUNCT
ejpam-6084	135	5	α1	α1	PROPN
ejpam-6084	135	6	)	)	PUNCT
ejpam-6084	135	7	+	+	NOUN
ejpam-6084	135	8	qn(u	qn(u	NOUN
ejpam-6084	135	9	,	,	PUNCT
ejpam-6084	135	10	u	u	NOUN
ejpam-6084	135	11	,	,	PUNCT
ejpam-6084	135	12	.	.	PUNCT
ejpam-6084	135	13	.	.	PUNCT
ejpam-6084	136	1	.	.	PUNCT
ejpam-6084	137	1	,	,	PUNCT
ejpam-6084	137	2	b21	b21	PROPN
ejpam-6084	137	3	,	,	PUNCT
ejpam-6084	137	4	α2	α2	ADJ
ejpam-6084	137	5	,	,	PUNCT
ejpam-6084	137	6	ψ(α1	ψ(α1	NOUN
ejpam-6084	137	7	)	)	PUNCT
ejpam-6084	137	8	)	)	PUNCT
ejpam-6084	138	1	=	=	SYM
ejpam-6084	138	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	138	3	)	)	PUNCT
ejpam-6084	138	4	,	,	PUNCT
ejpam-6084	138	5	u	u	NOUN
ejpam-6084	138	6	,	,	PUNCT
ejpam-6084	138	7	.	.	PUNCT
ejpam-6084	138	8	.	.	PUNCT
ejpam-6084	138	9	.	.	PUNCT
ejpam-6084	139	1	,	,	PUNCT
ejpam-6084	139	2	b12	b12	NOUN
ejpam-6084	139	3	+	+	SYM
ejpam-6084	139	4	b21	b21	PROPN
ejpam-6084	139	5	,	,	PUNCT
ejpam-6084	139	6	α2	α2	PROPN
ejpam-6084	139	7	,	,	PUNCT
ejpam-6084	139	8	α1	α1	PROPN
ejpam-6084	139	9	)	)	PUNCT
ejpam-6084	139	10	+	+	NOUN
ejpam-6084	139	11	qn(u	qn(u	NOUN
ejpam-6084	139	12	,	,	PUNCT
ejpam-6084	139	13	ψ(u	ψ(u	PROPN
ejpam-6084	139	14	)	)	PUNCT
ejpam-6084	139	15	,	,	PUNCT
ejpam-6084	139	16	.	.	PUNCT
ejpam-6084	139	17	.	.	PUNCT
ejpam-6084	140	1	.	.	PUNCT
ejpam-6084	141	1	,	,	PUNCT
ejpam-6084	141	2	b12	b12	NOUN
ejpam-6084	141	3	+	+	SYM
ejpam-6084	141	4	b21	b21	PROPN
ejpam-6084	141	5	,	,	PUNCT
ejpam-6084	141	6	α2	α2	PROPN
ejpam-6084	141	7	,	,	PUNCT
ejpam-6084	141	8	α1	α1	PROPN
ejpam-6084	141	9	)	)	PUNCT
ejpam-6084	141	10	+	+	CCONJ
ejpam-6084	141	11	·	·	PUNCT
ejpam-6084	141	12	·	·	PUNCT
ejpam-6084	141	13	·	·	PUNCT
ejpam-6084	141	14	+	+	NUM
ejpam-6084	141	15	qn(u	qn(u	NOUN
ejpam-6084	141	16	,	,	PUNCT
ejpam-6084	141	17	u	u	NOUN
ejpam-6084	141	18	,	,	PUNCT
ejpam-6084	141	19	.	.	PUNCT
ejpam-6084	141	20	.	.	PUNCT
ejpam-6084	141	21	.	.	PUNCT
ejpam-6084	142	1	,	,	PUNCT
ejpam-6084	142	2	ψ(b12	ψ(b12	NOUN
ejpam-6084	142	3	)	)	PUNCT
ejpam-6084	143	1	+	+	CCONJ
ejpam-6084	143	2	ψ(b21	ψ(b21	NOUN
ejpam-6084	143	3	)	)	PUNCT
ejpam-6084	143	4	,	,	PUNCT
ejpam-6084	143	5	α2	α2	PROPN
ejpam-6084	143	6	,	,	PUNCT
ejpam-6084	143	7	α1	α1	PROPN
ejpam-6084	143	8	)	)	PUNCT
ejpam-6084	144	1	+	+	NOUN
ejpam-6084	144	2	qn(u	qn(u	NOUN
ejpam-6084	144	3	,	,	PUNCT
ejpam-6084	144	4	u	u	NOUN
ejpam-6084	144	5	,	,	PUNCT
ejpam-6084	144	6	.	.	PUNCT
ejpam-6084	144	7	.	.	PUNCT
ejpam-6084	145	1	.	.	PUNCT
ejpam-6084	146	1	,	,	PUNCT
ejpam-6084	146	2	b12	b12	NOUN
ejpam-6084	146	3	+	+	PROPN
ejpam-6084	146	4	b21,ψ(α2	b21,ψ(α2	PROPN
ejpam-6084	146	5	)	)	PUNCT
ejpam-6084	146	6	,	,	PUNCT
ejpam-6084	146	7	α1	α1	PROPN
ejpam-6084	146	8	)	)	PUNCT
ejpam-6084	146	9	+	+	NUM
ejpam-6084	146	10	qn(u	qn(u	NOUN
ejpam-6084	146	11	,	,	PUNCT
ejpam-6084	146	12	u	u	NOUN
ejpam-6084	146	13	,	,	PUNCT
ejpam-6084	146	14	.	.	PUNCT
ejpam-6084	146	15	.	.	PUNCT
ejpam-6084	146	16	.	.	PUNCT
ejpam-6084	147	1	,	,	PUNCT
ejpam-6084	147	2	b12	b12	NOUN
ejpam-6084	147	3	+	+	SYM
ejpam-6084	147	4	b21	b21	NOUN
ejpam-6084	147	5	,	,	PUNCT
ejpam-6084	147	6	α2,ψ(α1	α2,ψ(α1	PROPN
ejpam-6084	147	7	)	)	PUNCT
ejpam-6084	147	8	)	)	PUNCT
ejpam-6084	147	9	.	.	PUNCT
ejpam-6084	148	1	alternatively	alternatively	ADV
ejpam-6084	148	2	,	,	PUNCT
ejpam-6084	148	3	we	we	PRON
ejpam-6084	148	4	obtain	obtain	VERB
ejpam-6084	148	5	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	148	6	,	,	PUNCT
ejpam-6084	148	7	u	u	NOUN
ejpam-6084	148	8	,	,	PUNCT
ejpam-6084	148	9	.	.	PUNCT
ejpam-6084	148	10	.	.	PUNCT
ejpam-6084	149	1	.	.	PUNCT
ejpam-6084	150	1	,	,	PUNCT
ejpam-6084	150	2	b12	b12	NOUN
ejpam-6084	150	3	+	+	SYM
ejpam-6084	150	4	b21	b21	PROPN
ejpam-6084	150	5	,	,	PUNCT
ejpam-6084	150	6	α2	α2	PROPN
ejpam-6084	150	7	,	,	PUNCT
ejpam-6084	150	8	α1	α1	PROPN
ejpam-6084	150	9	)	)	PUNCT
ejpam-6084	150	10	)	)	PUNCT
ejpam-6084	151	1	=	=	SYM
ejpam-6084	151	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	151	3	)	)	PUNCT
ejpam-6084	151	4	,	,	PUNCT
ejpam-6084	151	5	u	u	NOUN
ejpam-6084	151	6	,	,	PUNCT
ejpam-6084	151	7	.	.	PUNCT
ejpam-6084	151	8	.	.	PUNCT
ejpam-6084	151	9	.	.	PUNCT
ejpam-6084	152	1	,	,	PUNCT
ejpam-6084	152	2	b12	b12	NOUN
ejpam-6084	152	3	+	+	SYM
ejpam-6084	152	4	b21	b21	PROPN
ejpam-6084	152	5	,	,	PUNCT
ejpam-6084	152	6	α2	α2	PROPN
ejpam-6084	152	7	,	,	PUNCT
ejpam-6084	152	8	α1	α1	PROPN
ejpam-6084	152	9	)	)	PUNCT
ejpam-6084	152	10	+	+	NOUN
ejpam-6084	152	11	qn(u	qn(u	NOUN
ejpam-6084	152	12	,	,	PUNCT
ejpam-6084	152	13	ψ(u	ψ(u	PROPN
ejpam-6084	152	14	)	)	PUNCT
ejpam-6084	152	15	,	,	PUNCT
ejpam-6084	152	16	.	.	PUNCT
ejpam-6084	152	17	.	.	PUNCT
ejpam-6084	153	1	.	.	PUNCT
ejpam-6084	154	1	,	,	PUNCT
ejpam-6084	154	2	b12	b12	NOUN
ejpam-6084	154	3	+	+	SYM
ejpam-6084	154	4	b21	b21	PROPN
ejpam-6084	154	5	,	,	PUNCT
ejpam-6084	154	6	α2	α2	PROPN
ejpam-6084	154	7	,	,	PUNCT
ejpam-6084	154	8	α1	α1	PROPN
ejpam-6084	154	9	)	)	PUNCT
ejpam-6084	154	10	+	+	CCONJ
ejpam-6084	154	11	·	·	PUNCT
ejpam-6084	154	12	·	·	PUNCT
ejpam-6084	154	13	·	·	PUNCT
ejpam-6084	154	14	+	+	NUM
ejpam-6084	154	15	qn(u	qn(u	NOUN
ejpam-6084	154	16	,	,	PUNCT
ejpam-6084	154	17	u	u	NOUN
ejpam-6084	154	18	,	,	PUNCT
ejpam-6084	154	19	.	.	PUNCT
ejpam-6084	154	20	.	.	PUNCT
ejpam-6084	154	21	.	.	PUNCT
ejpam-6084	155	1	,	,	PUNCT
ejpam-6084	155	2	ψ(b12	ψ(b12	ADP
ejpam-6084	155	3	+	+	ADJ
ejpam-6084	155	4	b21	b21	NOUN
ejpam-6084	155	5	)	)	PUNCT
ejpam-6084	155	6	,	,	PUNCT
ejpam-6084	155	7	α2	α2	PROPN
ejpam-6084	155	8	,	,	PUNCT
ejpam-6084	155	9	α1	α1	PROPN
ejpam-6084	155	10	)	)	PUNCT
ejpam-6084	155	11	+	+	NOUN
ejpam-6084	155	12	qn(u	qn(u	NOUN
ejpam-6084	155	13	,	,	PUNCT
ejpam-6084	155	14	u	u	NOUN
ejpam-6084	155	15	,	,	PUNCT
ejpam-6084	155	16	.	.	PUNCT
ejpam-6084	155	17	.	.	PUNCT
ejpam-6084	156	1	.	.	PUNCT
ejpam-6084	157	1	,	,	PUNCT
ejpam-6084	157	2	b12	b12	NOUN
ejpam-6084	157	3	+	+	PROPN
ejpam-6084	157	4	b21,ψ(α2	b21,ψ(α2	PROPN
ejpam-6084	157	5	)	)	PUNCT
ejpam-6084	157	6	,	,	PUNCT
ejpam-6084	157	7	α1	α1	PROPN
ejpam-6084	157	8	)	)	PUNCT
ejpam-6084	157	9	+	+	NOUN
ejpam-6084	157	10	qn(u	qn(u	NOUN
ejpam-6084	157	11	,	,	PUNCT
ejpam-6084	157	12	u	u	NOUN
ejpam-6084	157	13	,	,	PUNCT
ejpam-6084	157	14	.	.	PUNCT
ejpam-6084	157	15	.	.	PUNCT
ejpam-6084	158	1	.	.	PUNCT
ejpam-6084	159	1	,	,	PUNCT
ejpam-6084	159	2	b12	b12	NOUN
ejpam-6084	159	3	+	+	SYM
ejpam-6084	159	4	b21	b21	NOUN
ejpam-6084	159	5	,	,	PUNCT
ejpam-6084	159	6	α2,ψ(α1	α2,ψ(α1	PROPN
ejpam-6084	159	7	)	)	PUNCT
ejpam-6084	159	8	)	)	PUNCT
ejpam-6084	159	9	.	.	PUNCT
ejpam-6084	160	1	a	a	DET
ejpam-6084	160	2	comparison	comparison	NOUN
ejpam-6084	160	3	of	of	ADP
ejpam-6084	160	4	the	the	DET
ejpam-6084	160	5	aforementioned	aforementioned	ADJ
ejpam-6084	160	6	expressions	expression	NOUN
ejpam-6084	160	7	reveals	reveal	VERB
ejpam-6084	160	8	that	that	SCONJ
ejpam-6084	160	9	qn(u	qn(u	NOUN
ejpam-6084	160	10	,	,	PUNCT
ejpam-6084	160	11	u	u	NOUN
ejpam-6084	160	12	,	,	PUNCT
ejpam-6084	160	13	.	.	PUNCT
ejpam-6084	160	14	.	.	PUNCT
ejpam-6084	161	1	.	.	PUNCT
ejpam-6084	162	1	,	,	PUNCT
ejpam-6084	162	2	h	h	NOUN
ejpam-6084	162	3	,	,	PUNCT
ejpam-6084	162	4	α2	α2	ADJ
ejpam-6084	162	5	,	,	PUNCT
ejpam-6084	162	6	α1	α1	PROPN
ejpam-6084	162	7	)	)	PUNCT
ejpam-6084	162	8	=	=	SYM
ejpam-6084	163	1	0	0	X
ejpam-6084	163	2	.	.	PUNCT
ejpam-6084	164	1	this	this	DET
ejpam-6084	164	2	futher	futher	NOUN
ejpam-6084	164	3	implies	imply	VERB
ejpam-6084	164	4	that	that	SCONJ
ejpam-6084	164	5	h21	h21	NOUN
ejpam-6084	164	6	=	=	NOUN
ejpam-6084	164	7	0	0	PROPN
ejpam-6084	164	8	.	.	PUNCT
ejpam-6084	165	1	similarly	similarly	ADV
ejpam-6084	165	2	,	,	PUNCT
ejpam-6084	165	3	we	we	PRON
ejpam-6084	165	4	can	can	AUX
ejpam-6084	165	5	show	show	VERB
ejpam-6084	165	6	that	that	DET
ejpam-6084	165	7	h12	h12	NOUN
ejpam-6084	165	8	=	=	NOUN
ejpam-6084	165	9	0	0	PROPN
ejpam-6084	165	10	.	.	PUNCT
ejpam-6084	166	1	based	base	VERB
ejpam-6084	166	2	on	on	ADP
ejpam-6084	166	3	the	the	DET
ejpam-6084	166	4	fact	fact	NOUN
ejpam-6084	166	5	qn(u	qn(u	NOUN
ejpam-6084	166	6	,	,	PUNCT
ejpam-6084	166	7	u	u	NOUN
ejpam-6084	166	8	,	,	PUNCT
ejpam-6084	166	9	.	.	PUNCT
ejpam-6084	166	10	.	.	PUNCT
ejpam-6084	167	1	.	.	PUNCT
ejpam-6084	168	1	,	,	PUNCT
ejpam-6084	168	2	u	u	NOUN
ejpam-6084	168	3	,	,	PUNCT
ejpam-6084	168	4	(	(	PUNCT
ejpam-6084	168	5	α1	α1	PROPN
ejpam-6084	168	6	−	−	PROPN
ejpam-6084	168	7	α2	α2	PROPN
ejpam-6084	168	8	)	)	PUNCT
ejpam-6084	168	9	,	,	PUNCT
ejpam-6084	168	10	b21	b21	PROPN
ejpam-6084	168	11	)	)	PUNCT
ejpam-6084	168	12	=	=	SYM
ejpam-6084	168	13	0	0	PUNCT
ejpam-6084	168	14	and	and	CCONJ
ejpam-6084	168	15	use	use	VERB
ejpam-6084	168	16	lemma	lemma	PROPN
ejpam-6084	168	17	1	1	NUM
ejpam-6084	168	18	to	to	PART
ejpam-6084	168	19	have	have	VERB
ejpam-6084	168	20	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	168	21	,	,	PUNCT
ejpam-6084	168	22	u	u	NOUN
ejpam-6084	168	23	,	,	PUNCT
ejpam-6084	168	24	.	.	PUNCT
ejpam-6084	168	25	.	.	PUNCT
ejpam-6084	168	26	.	.	PUNCT
ejpam-6084	169	1	,	,	PUNCT
ejpam-6084	169	2	u	u	NOUN
ejpam-6084	169	3	,	,	PUNCT
ejpam-6084	169	4	α1	α1	PROPN
ejpam-6084	169	5	−	−	PROPN
ejpam-6084	169	6	α2	α2	ADJ
ejpam-6084	169	7	,	,	PUNCT
ejpam-6084	169	8	b12	b12	NOUN
ejpam-6084	169	9	+	+	NOUN
ejpam-6084	169	10	b21	b21	NOUN
ejpam-6084	169	11	)	)	PUNCT
ejpam-6084	169	12	)	)	PUNCT
ejpam-6084	170	1	=	=	PUNCT
ejpam-6084	170	2	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	170	3	,	,	PUNCT
ejpam-6084	170	4	u	u	NOUN
ejpam-6084	170	5	,	,	PUNCT
ejpam-6084	170	6	.	.	PUNCT
ejpam-6084	170	7	.	.	PUNCT
ejpam-6084	170	8	.	.	PUNCT
ejpam-6084	171	1	,	,	PUNCT
ejpam-6084	171	2	u	u	NOUN
ejpam-6084	171	3	,	,	PUNCT
ejpam-6084	171	4	α1	α1	PROPN
ejpam-6084	171	5	−	−	PROPN
ejpam-6084	171	6	α2	α2	ADJ
ejpam-6084	171	7	,	,	PUNCT
ejpam-6084	171	8	b12	b12	NOUN
ejpam-6084	171	9	)	)	PUNCT
ejpam-6084	171	10	)	)	PUNCT
ejpam-6084	172	1	+	+	CCONJ
ejpam-6084	172	2	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	172	3	,	,	PUNCT
ejpam-6084	172	4	u	u	NOUN
ejpam-6084	172	5	,	,	PUNCT
ejpam-6084	172	6	.	.	PUNCT
ejpam-6084	172	7	.	.	PUNCT
ejpam-6084	172	8	.	.	PUNCT
ejpam-6084	173	1	,	,	PUNCT
ejpam-6084	173	2	u	u	NOUN
ejpam-6084	173	3	,	,	PUNCT
ejpam-6084	173	4	α1	α1	PROPN
ejpam-6084	173	5	−	−	PROPN
ejpam-6084	173	6	α2	α2	PROPN
ejpam-6084	173	7	,	,	PUNCT
ejpam-6084	173	8	b21	b21	PROPN
ejpam-6084	173	9	)	)	PUNCT
ejpam-6084	173	10	)	)	PUNCT
ejpam-6084	174	1	=	=	SYM
ejpam-6084	174	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	174	3	)	)	PUNCT
ejpam-6084	174	4	,	,	PUNCT
ejpam-6084	174	5	u	u	NOUN
ejpam-6084	174	6	,	,	PUNCT
ejpam-6084	174	7	.	.	PUNCT
ejpam-6084	174	8	.	.	PUNCT
ejpam-6084	174	9	.	.	PUNCT
ejpam-6084	175	1	,	,	PUNCT
ejpam-6084	175	2	u	u	NOUN
ejpam-6084	175	3	,	,	PUNCT
ejpam-6084	175	4	α1	α1	PROPN
ejpam-6084	175	5	−	−	PROPN
ejpam-6084	175	6	α2	α2	ADJ
ejpam-6084	175	7	,	,	PUNCT
ejpam-6084	175	8	b12	b12	NOUN
ejpam-6084	175	9	)	)	PUNCT
ejpam-6084	176	1	+	+	NOUN
ejpam-6084	176	2	qn(u	qn(u	NOUN
ejpam-6084	176	3	,	,	PUNCT
ejpam-6084	176	4	ψ(u	ψ(u	PROPN
ejpam-6084	176	5	)	)	PUNCT
ejpam-6084	176	6	,	,	PUNCT
ejpam-6084	176	7	.	.	PUNCT
ejpam-6084	176	8	.	.	PUNCT
ejpam-6084	177	1	.	.	PUNCT
ejpam-6084	178	1	,	,	PUNCT
ejpam-6084	178	2	u	u	NOUN
ejpam-6084	178	3	,	,	PUNCT
ejpam-6084	178	4	α1	α1	PROPN
ejpam-6084	178	5	−	−	PROPN
ejpam-6084	178	6	α2	α2	ADJ
ejpam-6084	178	7	,	,	PUNCT
ejpam-6084	178	8	b12	b12	NOUN
ejpam-6084	178	9	)	)	PUNCT
ejpam-6084	178	10	+	+	CCONJ
ejpam-6084	178	11	·	·	PUNCT
ejpam-6084	178	12	·	·	PUNCT
ejpam-6084	178	13	·	·	PUNCT
ejpam-6084	179	1	+	+	NUM
ejpam-6084	179	2	qn(u	qn(u	NOUN
ejpam-6084	179	3	,	,	PUNCT
ejpam-6084	179	4	u	u	NOUN
ejpam-6084	179	5	,	,	PUNCT
ejpam-6084	179	6	.	.	PUNCT
ejpam-6084	179	7	.	.	PUNCT
ejpam-6084	179	8	.	.	PUNCT
ejpam-6084	180	1	,	,	PUNCT
ejpam-6084	180	2	ψ(u	ψ(u	PROPN
ejpam-6084	180	3	)	)	PUNCT
ejpam-6084	180	4	,	,	PUNCT
ejpam-6084	180	5	α1	α1	PROPN
ejpam-6084	180	6	−	−	PROPN
ejpam-6084	180	7	α2	α2	ADJ
ejpam-6084	180	8	,	,	PUNCT
ejpam-6084	180	9	b12	b12	NOUN
ejpam-6084	180	10	)	)	PUNCT
ejpam-6084	181	1	+	+	NOUN
ejpam-6084	181	2	qn(u	qn(u	NOUN
ejpam-6084	181	3	,	,	PUNCT
ejpam-6084	181	4	u	u	NOUN
ejpam-6084	181	5	,	,	PUNCT
ejpam-6084	181	6	.	.	PUNCT
ejpam-6084	181	7	.	.	PUNCT
ejpam-6084	182	1	.	.	PUNCT
ejpam-6084	183	1	,	,	PUNCT
ejpam-6084	183	2	u	u	NOUN
ejpam-6084	183	3	,	,	PUNCT
ejpam-6084	183	4	ψ(α1	ψ(α1	NOUN
ejpam-6084	183	5	−	−	PROPN
ejpam-6084	183	6	α2	α2	ADV
ejpam-6084	183	7	)	)	PUNCT
ejpam-6084	183	8	,	,	PUNCT
ejpam-6084	183	9	b12	b12	NOUN
ejpam-6084	183	10	)	)	PUNCT
ejpam-6084	184	1	+	+	NOUN
ejpam-6084	184	2	qn(u	qn(u	NOUN
ejpam-6084	184	3	,	,	PUNCT
ejpam-6084	184	4	u	u	NOUN
ejpam-6084	184	5	,	,	PUNCT
ejpam-6084	184	6	.	.	PUNCT
ejpam-6084	184	7	.	.	PUNCT
ejpam-6084	185	1	.	.	PUNCT
ejpam-6084	186	1	,	,	PUNCT
ejpam-6084	186	2	u	u	NOUN
ejpam-6084	186	3	,	,	PUNCT
ejpam-6084	186	4	α1	α1	PROPN
ejpam-6084	186	5	−	−	PROPN
ejpam-6084	186	6	α2,ψ(b12	α2,ψ(b12	NOUN
ejpam-6084	186	7	)	)	PUNCT
ejpam-6084	186	8	)	)	PUNCT
ejpam-6084	187	1	+	+	PUNCT
ejpam-6084	187	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	187	3	)	)	PUNCT
ejpam-6084	187	4	,	,	PUNCT
ejpam-6084	187	5	u	u	NOUN
ejpam-6084	187	6	,	,	PUNCT
ejpam-6084	187	7	.	.	PUNCT
ejpam-6084	187	8	.	.	PUNCT
ejpam-6084	187	9	.	.	PUNCT
ejpam-6084	188	1	,	,	PUNCT
ejpam-6084	188	2	u	u	NOUN
ejpam-6084	188	3	,	,	PUNCT
ejpam-6084	188	4	α1	α1	PROPN
ejpam-6084	188	5	−	−	PROPN
ejpam-6084	188	6	α2	α2	PROPN
ejpam-6084	188	7	,	,	PUNCT
ejpam-6084	188	8	b21	b21	PROPN
ejpam-6084	188	9	)	)	PUNCT
ejpam-6084	188	10	+	+	NUM
ejpam-6084	188	11	qn(u	qn(u	NOUN
ejpam-6084	188	12	,	,	PUNCT
ejpam-6084	188	13	ψ(u	ψ(u	PROPN
ejpam-6084	188	14	)	)	PUNCT
ejpam-6084	188	15	,	,	PUNCT
ejpam-6084	188	16	.	.	PUNCT
ejpam-6084	188	17	.	.	PUNCT
ejpam-6084	188	18	.	.	PUNCT
ejpam-6084	189	1	,	,	PUNCT
ejpam-6084	189	2	u	u	NOUN
ejpam-6084	189	3	,	,	PUNCT
ejpam-6084	189	4	α1	α1	PROPN
ejpam-6084	189	5	−	−	PROPN
ejpam-6084	189	6	α2	α2	PROPN
ejpam-6084	189	7	,	,	PUNCT
ejpam-6084	189	8	b21	b21	PROPN
ejpam-6084	189	9	)	)	PUNCT
ejpam-6084	189	10	+	+	CCONJ
ejpam-6084	189	11	·	·	PUNCT
ejpam-6084	189	12	·	·	PUNCT
ejpam-6084	189	13	·	·	PUNCT
ejpam-6084	190	1	+	+	NOUN
ejpam-6084	190	2	qn(u	qn(u	NOUN
ejpam-6084	190	3	,	,	PUNCT
ejpam-6084	190	4	u	u	NOUN
ejpam-6084	190	5	,	,	PUNCT
ejpam-6084	190	6	.	.	PUNCT
ejpam-6084	190	7	.	.	PUNCT
ejpam-6084	191	1	.	.	PUNCT
ejpam-6084	192	1	,	,	PUNCT
ejpam-6084	192	2	ψ(u	ψ(u	PROPN
ejpam-6084	192	3	)	)	PUNCT
ejpam-6084	192	4	,	,	PUNCT
ejpam-6084	192	5	α1	α1	PROPN
ejpam-6084	192	6	−	−	PROPN
ejpam-6084	192	7	α2	α2	PROPN
ejpam-6084	192	8	,	,	PUNCT
ejpam-6084	192	9	b21	b21	PROPN
ejpam-6084	192	10	)	)	PUNCT
ejpam-6084	193	1	+	+	PROPN
ejpam-6084	193	2	qn(u	qn(u	NOUN
ejpam-6084	193	3	,	,	PUNCT
ejpam-6084	193	4	u	u	NOUN
ejpam-6084	193	5	,	,	PUNCT
ejpam-6084	193	6	.	.	PUNCT
ejpam-6084	193	7	.	.	PUNCT
ejpam-6084	194	1	.	.	PUNCT
ejpam-6084	195	1	,	,	PUNCT
ejpam-6084	195	2	u	u	NOUN
ejpam-6084	195	3	,	,	PUNCT
ejpam-6084	195	4	ψ(α1	ψ(α1	NOUN
ejpam-6084	195	5	−	−	NOUN
ejpam-6084	195	6	α1	α1	PROPN
ejpam-6084	195	7	)	)	PUNCT
ejpam-6084	195	8	,	,	PUNCT
ejpam-6084	195	9	b21	b21	PROPN
ejpam-6084	195	10	)	)	PUNCT
ejpam-6084	195	11	+	+	PROPN
ejpam-6084	195	12	qn(u	qn(u	NOUN
ejpam-6084	195	13	,	,	PUNCT
ejpam-6084	195	14	u	u	NOUN
ejpam-6084	195	15	,	,	PUNCT
ejpam-6084	195	16	.	.	PUNCT
ejpam-6084	195	17	.	.	PUNCT
ejpam-6084	196	1	.	.	PUNCT
ejpam-6084	197	1	,	,	PUNCT
ejpam-6084	197	2	u	u	NOUN
ejpam-6084	197	3	,	,	PUNCT
ejpam-6084	197	4	α1	α1	PROPN
ejpam-6084	197	5	−	−	PROPN
ejpam-6084	197	6	α2,ψ(b21	α2,ψ(b21	NOUN
ejpam-6084	197	7	)	)	PUNCT
ejpam-6084	197	8	)	)	PUNCT
ejpam-6084	198	1	=	=	SYM
ejpam-6084	198	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	198	3	)	)	PUNCT
ejpam-6084	198	4	,	,	PUNCT
ejpam-6084	198	5	u	u	NOUN
ejpam-6084	198	6	,	,	PUNCT
ejpam-6084	198	7	.	.	PUNCT
ejpam-6084	198	8	.	.	PUNCT
ejpam-6084	198	9	.	.	PUNCT
ejpam-6084	199	1	,	,	PUNCT
ejpam-6084	199	2	u	u	NOUN
ejpam-6084	199	3	,	,	PUNCT
ejpam-6084	199	4	α1	α1	PROPN
ejpam-6084	199	5	−	−	PROPN
ejpam-6084	199	6	α2	α2	ADJ
ejpam-6084	199	7	,	,	PUNCT
ejpam-6084	199	8	b12	b12	NOUN
ejpam-6084	199	9	+	+	NOUN
ejpam-6084	199	10	b21	b21	NOUN
ejpam-6084	199	11	)	)	PUNCT
ejpam-6084	200	1	+	+	PROPN
ejpam-6084	200	2	qn(u	qn(u	NOUN
ejpam-6084	200	3	,	,	PUNCT
ejpam-6084	200	4	ψ(u	ψ(u	PROPN
ejpam-6084	200	5	)	)	PUNCT
ejpam-6084	200	6	,	,	PUNCT
ejpam-6084	200	7	.	.	PUNCT
ejpam-6084	200	8	.	.	PUNCT
ejpam-6084	201	1	.	.	PUNCT
ejpam-6084	202	1	,	,	PUNCT
ejpam-6084	202	2	u	u	NOUN
ejpam-6084	202	3	,	,	PUNCT
ejpam-6084	202	4	α1	α1	PROPN
ejpam-6084	202	5	−	−	PROPN
ejpam-6084	202	6	α2	α2	ADJ
ejpam-6084	202	7	,	,	PUNCT
ejpam-6084	202	8	b12	b12	NOUN
ejpam-6084	202	9	+	+	NOUN
ejpam-6084	202	10	b21	b21	NOUN
ejpam-6084	202	11	)	)	PUNCT
ejpam-6084	202	12	+	+	CCONJ
ejpam-6084	202	13	·	·	PUNCT
ejpam-6084	202	14	·	·	PUNCT
ejpam-6084	202	15	·	·	PUNCT
ejpam-6084	203	1	+	+	NOUN
ejpam-6084	203	2	qn(u	qn(u	NOUN
ejpam-6084	203	3	,	,	PUNCT
ejpam-6084	203	4	u	u	NOUN
ejpam-6084	203	5	,	,	PUNCT
ejpam-6084	203	6	.	.	PUNCT
ejpam-6084	203	7	.	.	PUNCT
ejpam-6084	204	1	.	.	PUNCT
ejpam-6084	205	1	,	,	PUNCT
ejpam-6084	205	2	ψ(u	ψ(u	PROPN
ejpam-6084	205	3	)	)	PUNCT
ejpam-6084	205	4	,	,	PUNCT
ejpam-6084	205	5	α1	α1	PROPN
ejpam-6084	205	6	−	−	PROPN
ejpam-6084	205	7	α2	α2	ADJ
ejpam-6084	205	8	,	,	PUNCT
ejpam-6084	205	9	b12	b12	NOUN
ejpam-6084	205	10	+	+	NOUN
ejpam-6084	205	11	b21	b21	NOUN
ejpam-6084	205	12	)	)	PUNCT
ejpam-6084	205	13	+	+	PROPN
ejpam-6084	205	14	qn(u	qn(u	NOUN
ejpam-6084	205	15	,	,	PUNCT
ejpam-6084	205	16	u	u	NOUN
ejpam-6084	205	17	,	,	PUNCT
ejpam-6084	205	18	.	.	PUNCT
ejpam-6084	205	19	.	.	PUNCT
ejpam-6084	206	1	.	.	PUNCT
ejpam-6084	207	1	,	,	PUNCT
ejpam-6084	207	2	u	u	NOUN
ejpam-6084	207	3	,	,	PUNCT
ejpam-6084	207	4	ψ(α1	ψ(α1	NOUN
ejpam-6084	207	5	−	−	PROPN
ejpam-6084	207	6	α2	α2	ADV
ejpam-6084	207	7	)	)	PUNCT
ejpam-6084	207	8	,	,	PUNCT
ejpam-6084	207	9	b12	b12	NOUN
ejpam-6084	207	10	+	+	NOUN
ejpam-6084	207	11	b21	b21	NOUN
ejpam-6084	207	12	)	)	PUNCT
ejpam-6084	207	13	+	+	PROPN
ejpam-6084	207	14	qn(u	qn(u	NOUN
ejpam-6084	207	15	,	,	PUNCT
ejpam-6084	207	16	u	u	NOUN
ejpam-6084	207	17	,	,	PUNCT
ejpam-6084	207	18	.	.	PUNCT
ejpam-6084	207	19	.	.	PUNCT
ejpam-6084	207	20	.	.	PUNCT
ejpam-6084	208	1	,	,	PUNCT
ejpam-6084	208	2	u	u	NOUN
ejpam-6084	208	3	,	,	PUNCT
ejpam-6084	208	4	α1	α1	PROPN
ejpam-6084	208	5	−	−	PROPN
ejpam-6084	208	6	α2,ψ(b12	α2,ψ(b12	PROPN
ejpam-6084	208	7	)	)	PUNCT
ejpam-6084	208	8	+	+	NUM
ejpam-6084	208	9	ψ(b21	ψ(b21	NOUN
ejpam-6084	208	10	)	)	PUNCT
ejpam-6084	208	11	)	)	PUNCT
ejpam-6084	208	12	.	.	PUNCT
ejpam-6084	209	1	alternatively	alternatively	ADV
ejpam-6084	209	2	,	,	PUNCT
ejpam-6084	209	3	we	we	PRON
ejpam-6084	209	4	have	have	VERB
ejpam-6084	209	5	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	209	6	,	,	PUNCT
ejpam-6084	209	7	u	u	NOUN
ejpam-6084	209	8	,	,	PUNCT
ejpam-6084	209	9	.	.	PUNCT
ejpam-6084	209	10	.	.	PUNCT
ejpam-6084	210	1	.	.	PUNCT
ejpam-6084	211	1	,	,	PUNCT
ejpam-6084	211	2	u	u	NOUN
ejpam-6084	211	3	,	,	PUNCT
ejpam-6084	211	4	α1	α1	PROPN
ejpam-6084	211	5	−	−	PROPN
ejpam-6084	211	6	α2	α2	ADJ
ejpam-6084	211	7	,	,	PUNCT
ejpam-6084	211	8	b12	b12	NOUN
ejpam-6084	211	9	+	+	NOUN
ejpam-6084	211	10	b21	b21	NOUN
ejpam-6084	211	11	)	)	PUNCT
ejpam-6084	211	12	)	)	PUNCT
ejpam-6084	212	1	=	=	SYM
ejpam-6084	212	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	212	3	)	)	PUNCT
ejpam-6084	212	4	,	,	PUNCT
ejpam-6084	212	5	u	u	NOUN
ejpam-6084	212	6	,	,	PUNCT
ejpam-6084	212	7	.	.	PUNCT
ejpam-6084	212	8	.	.	PUNCT
ejpam-6084	212	9	.	.	PUNCT
ejpam-6084	213	1	,	,	PUNCT
ejpam-6084	213	2	u	u	NOUN
ejpam-6084	213	3	,	,	PUNCT
ejpam-6084	213	4	α1	α1	PROPN
ejpam-6084	213	5	−	−	PROPN
ejpam-6084	213	6	α2	α2	ADJ
ejpam-6084	213	7	,	,	PUNCT
ejpam-6084	213	8	b12	b12	NOUN
ejpam-6084	213	9	+	+	NOUN
ejpam-6084	213	10	b21	b21	NOUN
ejpam-6084	213	11	)	)	PUNCT
ejpam-6084	214	1	+	+	PROPN
ejpam-6084	214	2	qn(u	qn(u	NOUN
ejpam-6084	214	3	,	,	PUNCT
ejpam-6084	214	4	ψ(u	ψ(u	PROPN
ejpam-6084	214	5	)	)	PUNCT
ejpam-6084	214	6	,	,	PUNCT
ejpam-6084	214	7	.	.	PUNCT
ejpam-6084	214	8	.	.	PUNCT
ejpam-6084	215	1	.	.	PUNCT
ejpam-6084	216	1	,	,	PUNCT
ejpam-6084	216	2	u	u	NOUN
ejpam-6084	216	3	,	,	PUNCT
ejpam-6084	216	4	α1	α1	PROPN
ejpam-6084	216	5	−	−	PROPN
ejpam-6084	216	6	α2	α2	ADJ
ejpam-6084	216	7	,	,	PUNCT
ejpam-6084	216	8	b12	b12	NOUN
ejpam-6084	216	9	+	+	NOUN
ejpam-6084	216	10	b21	b21	NOUN
ejpam-6084	216	11	)	)	PUNCT
ejpam-6084	216	12	+	+	CCONJ
ejpam-6084	216	13	·	·	PUNCT
ejpam-6084	216	14	·	·	PUNCT
ejpam-6084	216	15	·	·	PUNCT
ejpam-6084	217	1	+	+	NOUN
ejpam-6084	217	2	qn(u	qn(u	NOUN
ejpam-6084	217	3	,	,	PUNCT
ejpam-6084	217	4	u	u	NOUN
ejpam-6084	217	5	,	,	PUNCT
ejpam-6084	217	6	.	.	PUNCT
ejpam-6084	217	7	.	.	PUNCT
ejpam-6084	218	1	.	.	PUNCT
ejpam-6084	219	1	,	,	PUNCT
ejpam-6084	219	2	ψ(u	ψ(u	PROPN
ejpam-6084	219	3	)	)	PUNCT
ejpam-6084	219	4	,	,	PUNCT
ejpam-6084	219	5	α1	α1	PROPN
ejpam-6084	219	6	−	−	PROPN
ejpam-6084	219	7	α2	α2	ADJ
ejpam-6084	219	8	,	,	PUNCT
ejpam-6084	219	9	b12	b12	NOUN
ejpam-6084	219	10	+	+	NOUN
ejpam-6084	219	11	b21	b21	NOUN
ejpam-6084	219	12	)	)	PUNCT
ejpam-6084	219	13	+	+	PROPN
ejpam-6084	219	14	qn(u	qn(u	NOUN
ejpam-6084	219	15	,	,	PUNCT
ejpam-6084	219	16	u	u	NOUN
ejpam-6084	219	17	,	,	PUNCT
ejpam-6084	219	18	.	.	PUNCT
ejpam-6084	219	19	.	.	PUNCT
ejpam-6084	220	1	.	.	PUNCT
ejpam-6084	221	1	,	,	PUNCT
ejpam-6084	221	2	u	u	NOUN
ejpam-6084	221	3	,	,	PUNCT
ejpam-6084	221	4	ψ(α1	ψ(α1	NOUN
ejpam-6084	221	5	−	−	PROPN
ejpam-6084	221	6	α2	α2	ADV
ejpam-6084	221	7	)	)	PUNCT
ejpam-6084	221	8	,	,	PUNCT
ejpam-6084	221	9	b12	b12	NOUN
ejpam-6084	221	10	+	+	NOUN
ejpam-6084	221	11	b21	b21	NOUN
ejpam-6084	221	12	)	)	PUNCT
ejpam-6084	221	13	+	+	PROPN
ejpam-6084	221	14	qn(u	qn(u	NOUN
ejpam-6084	221	15	,	,	PUNCT
ejpam-6084	221	16	u	u	NOUN
ejpam-6084	221	17	,	,	PUNCT
ejpam-6084	221	18	.	.	PUNCT
ejpam-6084	221	19	.	.	PUNCT
ejpam-6084	221	20	.	.	PUNCT
ejpam-6084	222	1	,	,	PUNCT
ejpam-6084	222	2	u	u	NOUN
ejpam-6084	222	3	,	,	PUNCT
ejpam-6084	222	4	α1	α1	PROPN
ejpam-6084	222	5	−	−	PROPN
ejpam-6084	222	6	α2,ψ(b12	α2,ψ(b12	PROPN
ejpam-6084	222	7	+	+	PROPN
ejpam-6084	222	8	b21	b21	NOUN
ejpam-6084	222	9	)	)	PUNCT
ejpam-6084	222	10	.	.	PUNCT
ejpam-6084	223	1	from	from	ADP
ejpam-6084	223	2	the	the	DET
ejpam-6084	223	3	above	above	ADJ
ejpam-6084	223	4	,	,	PUNCT
ejpam-6084	223	5	qn(u	qn(u	NOUN
ejpam-6084	223	6	,	,	PUNCT
ejpam-6084	223	7	u	u	NOUN
ejpam-6084	223	8	,	,	PUNCT
ejpam-6084	223	9	.	.	PUNCT
ejpam-6084	223	10	.	.	PUNCT
ejpam-6084	224	1	.	.	PUNCT
ejpam-6084	225	1	,	,	PUNCT
ejpam-6084	225	2	u	u	NOUN
ejpam-6084	225	3	,	,	PUNCT
ejpam-6084	225	4	α1	α1	PROPN
ejpam-6084	225	5	−	−	PROPN
ejpam-6084	225	6	α2,h	α2,h	PROPN
ejpam-6084	225	7	)	)	PUNCT
ejpam-6084	225	8	=	=	SYM
ejpam-6084	225	9	0	0	NUM
ejpam-6084	226	1	that	that	PRON
ejpam-6084	226	2	implies	imply	VERB
ejpam-6084	226	3	h11	h11	PROPN
ejpam-6084	226	4	=	=	SYM
ejpam-6084	226	5	0	0	PROPN
ejpam-6084	226	6	and	and	CCONJ
ejpam-6084	226	7	h22	h22	X
ejpam-6084	226	8	=	=	SYM
ejpam-6084	226	9	0	0	PROPN
ejpam-6084	226	10	.	.	PUNCT
ejpam-6084	227	1	therefore	therefore	ADV
ejpam-6084	227	2	,	,	PUNCT
ejpam-6084	227	3	h	h	NOUN
ejpam-6084	227	4	=	=	SYM
ejpam-6084	227	5	0	0	NUM
ejpam-6084	227	6	,	,	PUNCT
ejpam-6084	227	7	i.e.	i.e.	X
ejpam-6084	227	8	,	,	PUNCT
ejpam-6084	227	9	ψ(b12	ψ(b12	X
ejpam-6084	227	10	+	+	ADJ
ejpam-6084	227	11	b21	b21	NOUN
ejpam-6084	227	12	)	)	PUNCT
ejpam-6084	227	13	=	=	SYM
ejpam-6084	227	14	ψ(b12	ψ(b12	NOUN
ejpam-6084	227	15	)	)	PUNCT
ejpam-6084	227	16	+	+	CCONJ
ejpam-6084	227	17	ψ(b21	ψ(b21	NOUN
ejpam-6084	227	18	)	)	PUNCT
ejpam-6084	227	19	.	.	PUNCT
ejpam-6084	227	20	md	md	PROPN
ejpam-6084	227	21	arshad	arshad	PROPN
ejpam-6084	227	22	madni	madni	PROPN
ejpam-6084	227	23	et	et	PROPN
ejpam-6084	227	24	al	al	PROPN
ejpam-6084	227	25	.	.	PUNCT
ejpam-6084	227	26	/	/	SYM
ejpam-6084	227	27	eur	eur	PROPN
ejpam-6084	227	28	.	.	PUNCT
ejpam-6084	228	1	j.	j.	PROPN
ejpam-6084	228	2	pure	pure	PROPN
ejpam-6084	228	3	appl	appl	PROPN
ejpam-6084	228	4	.	.	PROPN
ejpam-6084	228	5	math	math	PROPN
ejpam-6084	228	6	,	,	PUNCT
ejpam-6084	228	7	18	18	NUM
ejpam-6084	228	8	(	(	PUNCT
ejpam-6084	228	9	2	2	NUM
ejpam-6084	228	10	)	)	PUNCT
ejpam-6084	228	11	(	(	PUNCT
ejpam-6084	228	12	2025	2025	NUM
ejpam-6084	228	13	)	)	PUNCT
ejpam-6084	228	14	,	,	PUNCT
ejpam-6084	228	15	6084	6084	NUM
ejpam-6084	228	16	5	5	NUM
ejpam-6084	228	17	of	of	ADP
ejpam-6084	228	18	16	16	NUM
ejpam-6084	228	19	lemma	lemma	PROPN
ejpam-6084	228	20	3	3	NUM
ejpam-6084	228	21	.	.	X
ejpam-6084	229	1	for	for	ADP
ejpam-6084	229	2	any	any	DET
ejpam-6084	229	3	b11	b11	PROPN
ejpam-6084	229	4	∈	∈	PROPN
ejpam-6084	229	5	b11	b11	PROPN
ejpam-6084	229	6	,	,	PUNCT
ejpam-6084	229	7	b12	b12	NOUN
ejpam-6084	229	8	∈	∈	NOUN
ejpam-6084	229	9	b12	b12	NOUN
ejpam-6084	229	10	,	,	PUNCT
ejpam-6084	229	11	b21	b21	PROPN
ejpam-6084	229	12	∈	∈	PROPN
ejpam-6084	229	13	b21	b21	PROPN
ejpam-6084	229	14	,	,	PUNCT
ejpam-6084	229	15	and	and	CCONJ
ejpam-6084	229	16	b22	b22	PROPN
ejpam-6084	229	17	∈	∈	PROPN
ejpam-6084	229	18	b22	b22	PROPN
ejpam-6084	229	19	,	,	PUNCT
ejpam-6084	229	20	we	we	PRON
ejpam-6084	229	21	have	have	VERB
ejpam-6084	229	22	ψ(b11	ψ(b11	ADJ
ejpam-6084	229	23	+	+	ADV
ejpam-6084	229	24	b12	b12	ADJ
ejpam-6084	229	25	+	+	ADJ
ejpam-6084	229	26	b21	b21	NOUN
ejpam-6084	229	27	)	)	PUNCT
ejpam-6084	229	28	=	=	SYM
ejpam-6084	229	29	ψ(b11	ψ(b11	NOUN
ejpam-6084	229	30	)	)	PUNCT
ejpam-6084	229	31	+	+	SYM
ejpam-6084	229	32	ψ(b12	ψ(b12	NOUN
ejpam-6084	229	33	)	)	PUNCT
ejpam-6084	230	1	+	+	NUM
ejpam-6084	230	2	ψ(b21	ψ(b21	NOUN
ejpam-6084	230	3	)	)	PUNCT
ejpam-6084	230	4	and	and	CCONJ
ejpam-6084	230	5	ψ(b12	ψ(b12	NOUN
ejpam-6084	230	6	+	+	CCONJ
ejpam-6084	230	7	b21	b21	PROPN
ejpam-6084	230	8	+	+	PROPN
ejpam-6084	230	9	b22	b22	PROPN
ejpam-6084	230	10	)	)	PUNCT
ejpam-6084	230	11	=	=	SYM
ejpam-6084	230	12	ψ(b12	ψ(b12	NOUN
ejpam-6084	230	13	)	)	PUNCT
ejpam-6084	230	14	+	+	CCONJ
ejpam-6084	230	15	ψ(b21	ψ(b21	NOUN
ejpam-6084	230	16	)	)	PUNCT
ejpam-6084	231	1	+	+	NUM
ejpam-6084	231	2	ψ(b22	ψ(b22	NOUN
ejpam-6084	231	3	)	)	PUNCT
ejpam-6084	231	4	.	.	PUNCT
ejpam-6084	232	1	proof	proof	NOUN
ejpam-6084	232	2	.	.	PUNCT
ejpam-6084	233	1	let	let	VERB
ejpam-6084	233	2	h	h	NOUN
ejpam-6084	233	3	=	=	PUNCT
ejpam-6084	233	4	ψ(b11+b12+b21)−ψ(b11)−ψ(b12)−ψ(b21	ψ(b11+b12+b21)−ψ(b11)−ψ(b12)−ψ(b21	PROPN
ejpam-6084	233	5	)	)	PUNCT
ejpam-6084	233	6	.	.	PUNCT
ejpam-6084	234	1	the	the	DET
ejpam-6084	234	2	aim	aim	NOUN
ejpam-6084	234	3	to	to	PART
ejpam-6084	234	4	prove	prove	VERB
ejpam-6084	234	5	that	that	DET
ejpam-6084	234	6	h	h	NOUN
ejpam-6084	234	7	=	=	NOUN
ejpam-6084	234	8	0	0	X
ejpam-6084	234	9	.	.	X
ejpam-6084	235	1	applying	apply	VERB
ejpam-6084	235	2	qn(u	qn(u	NOUN
ejpam-6084	235	3	,	,	PUNCT
ejpam-6084	235	4	u	u	NOUN
ejpam-6084	235	5	,	,	PUNCT
ejpam-6084	235	6	.	.	PUNCT
ejpam-6084	235	7	.	.	PUNCT
ejpam-6084	236	1	.	.	PUNCT
ejpam-6084	237	1	,	,	PUNCT
ejpam-6084	237	2	b11	b11	PROPN
ejpam-6084	237	3	,	,	PUNCT
ejpam-6084	237	4	α1	α1	PROPN
ejpam-6084	237	5	,	,	PUNCT
ejpam-6084	237	6	α2	α2	ADJ
ejpam-6084	237	7	)	)	PUNCT
ejpam-6084	238	1	=	=	SYM
ejpam-6084	238	2	qn(u	qn(u	NOUN
ejpam-6084	238	3	,	,	PUNCT
ejpam-6084	238	4	u	u	NOUN
ejpam-6084	238	5	,	,	PUNCT
ejpam-6084	238	6	.	.	PUNCT
ejpam-6084	238	7	.	.	PUNCT
ejpam-6084	238	8	.	.	PUNCT
ejpam-6084	239	1	,	,	PUNCT
ejpam-6084	239	2	b21	b21	PROPN
ejpam-6084	239	3	,	,	PUNCT
ejpam-6084	239	4	α1	α1	PROPN
ejpam-6084	239	5	,	,	PUNCT
ejpam-6084	239	6	α2	α2	ADJ
ejpam-6084	239	7	)	)	PUNCT
ejpam-6084	239	8	=	=	SYM
ejpam-6084	239	9	0	0	NUM
ejpam-6084	239	10	and	and	CCONJ
ejpam-6084	239	11	lemma	lemma	PROPN
ejpam-6084	239	12	1	1	NUM
ejpam-6084	239	13	,	,	PUNCT
ejpam-6084	239	14	we	we	PRON
ejpam-6084	239	15	find	find	VERB
ejpam-6084	239	16	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	239	17	,	,	PUNCT
ejpam-6084	239	18	u	u	NOUN
ejpam-6084	239	19	,	,	PUNCT
ejpam-6084	239	20	.	.	PUNCT
ejpam-6084	239	21	.	.	PUNCT
ejpam-6084	239	22	.	.	PUNCT
ejpam-6084	240	1	,	,	PUNCT
ejpam-6084	240	2	b11	b11	PROPN
ejpam-6084	240	3	+	+	NOUN
ejpam-6084	240	4	b12	b12	NOUN
ejpam-6084	240	5	+	+	SYM
ejpam-6084	240	6	b21	b21	PROPN
ejpam-6084	240	7	,	,	PUNCT
ejpam-6084	240	8	α1	α1	PROPN
ejpam-6084	240	9	,	,	PUNCT
ejpam-6084	240	10	α2	α2	PROPN
ejpam-6084	240	11	)	)	PUNCT
ejpam-6084	240	12	)	)	PUNCT
ejpam-6084	241	1	=	=	PUNCT
ejpam-6084	241	2	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	241	3	,	,	PUNCT
ejpam-6084	241	4	u	u	NOUN
ejpam-6084	241	5	,	,	PUNCT
ejpam-6084	241	6	.	.	PUNCT
ejpam-6084	241	7	.	.	PUNCT
ejpam-6084	241	8	.	.	PUNCT
ejpam-6084	242	1	,	,	PUNCT
ejpam-6084	242	2	b11	b11	PROPN
ejpam-6084	242	3	,	,	PUNCT
ejpam-6084	242	4	α1	α1	PROPN
ejpam-6084	242	5	,	,	PUNCT
ejpam-6084	242	6	α2	α2	PROPN
ejpam-6084	242	7	)	)	PUNCT
ejpam-6084	242	8	)	)	PUNCT
ejpam-6084	243	1	+	+	CCONJ
ejpam-6084	243	2	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	243	3	,	,	PUNCT
ejpam-6084	243	4	u	u	NOUN
ejpam-6084	243	5	,	,	PUNCT
ejpam-6084	243	6	.	.	PUNCT
ejpam-6084	243	7	.	.	PUNCT
ejpam-6084	243	8	.	.	PUNCT
ejpam-6084	244	1	,	,	PUNCT
ejpam-6084	244	2	b12	b12	NOUN
ejpam-6084	244	3	,	,	PUNCT
ejpam-6084	244	4	α1	α1	PROPN
ejpam-6084	244	5	,	,	PUNCT
ejpam-6084	244	6	α2	α2	PROPN
ejpam-6084	244	7	)	)	PUNCT
ejpam-6084	244	8	)	)	PUNCT
ejpam-6084	245	1	+	+	CCONJ
ejpam-6084	245	2	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	245	3	,	,	PUNCT
ejpam-6084	245	4	u	u	NOUN
ejpam-6084	245	5	,	,	PUNCT
ejpam-6084	245	6	.	.	PUNCT
ejpam-6084	245	7	.	.	PUNCT
ejpam-6084	246	1	.	.	PUNCT
ejpam-6084	247	1	,	,	PUNCT
ejpam-6084	247	2	b21	b21	PROPN
ejpam-6084	247	3	,	,	PUNCT
ejpam-6084	247	4	α1	α1	PROPN
ejpam-6084	247	5	,	,	PUNCT
ejpam-6084	247	6	α2	α2	PROPN
ejpam-6084	247	7	)	)	PUNCT
ejpam-6084	247	8	)	)	PUNCT
ejpam-6084	248	1	=	=	SYM
ejpam-6084	248	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	248	3	)	)	PUNCT
ejpam-6084	248	4	,	,	PUNCT
ejpam-6084	248	5	u	u	NOUN
ejpam-6084	248	6	,	,	PUNCT
ejpam-6084	248	7	.	.	PUNCT
ejpam-6084	248	8	.	.	PUNCT
ejpam-6084	248	9	.	.	PUNCT
ejpam-6084	249	1	,	,	PUNCT
ejpam-6084	249	2	b11	b11	PROPN
ejpam-6084	249	3	,	,	PUNCT
ejpam-6084	249	4	α1	α1	PROPN
ejpam-6084	249	5	,	,	PUNCT
ejpam-6084	249	6	α2	α2	PROPN
ejpam-6084	249	7	)	)	PUNCT
ejpam-6084	250	1	+	+	NOUN
ejpam-6084	250	2	qn(u	qn(u	NOUN
ejpam-6084	250	3	,	,	PUNCT
ejpam-6084	250	4	ψ(u	ψ(u	PROPN
ejpam-6084	250	5	)	)	PUNCT
ejpam-6084	250	6	,	,	PUNCT
ejpam-6084	250	7	.	.	PUNCT
ejpam-6084	250	8	.	.	PUNCT
ejpam-6084	251	1	.	.	PUNCT
ejpam-6084	252	1	,	,	PUNCT
ejpam-6084	252	2	b11	b11	PROPN
ejpam-6084	252	3	,	,	PUNCT
ejpam-6084	252	4	α1	α1	PROPN
ejpam-6084	252	5	,	,	PUNCT
ejpam-6084	252	6	α2	α2	ADJ
ejpam-6084	252	7	)	)	PUNCT
ejpam-6084	253	1	+	+	CCONJ
ejpam-6084	254	1	·	·	PUNCT
ejpam-6084	254	2	·	·	PUNCT
ejpam-6084	254	3	·	·	PUNCT
ejpam-6084	254	4	+	+	NOUN
ejpam-6084	254	5	qn(u	qn(u	NOUN
ejpam-6084	254	6	,	,	PUNCT
ejpam-6084	254	7	u	u	NOUN
ejpam-6084	254	8	,	,	PUNCT
ejpam-6084	254	9	.	.	PUNCT
ejpam-6084	254	10	.	.	PUNCT
ejpam-6084	254	11	.	.	PUNCT
ejpam-6084	255	1	,	,	PUNCT
ejpam-6084	255	2	ψ(b11	ψ(b11	NOUN
ejpam-6084	255	3	)	)	PUNCT
ejpam-6084	255	4	,	,	PUNCT
ejpam-6084	255	5	α1	α1	PROPN
ejpam-6084	255	6	,	,	PUNCT
ejpam-6084	255	7	α2	α2	PROPN
ejpam-6084	255	8	)	)	PUNCT
ejpam-6084	256	1	+	+	NOUN
ejpam-6084	256	2	qn(u	qn(u	NOUN
ejpam-6084	256	3	,	,	PUNCT
ejpam-6084	256	4	u	u	NOUN
ejpam-6084	256	5	,	,	PUNCT
ejpam-6084	256	6	.	.	PUNCT
ejpam-6084	256	7	.	.	PUNCT
ejpam-6084	256	8	.	.	PUNCT
ejpam-6084	257	1	,	,	PUNCT
ejpam-6084	257	2	b11,ψ(α1	b11,ψ(α1	PROPN
ejpam-6084	257	3	)	)	PUNCT
ejpam-6084	257	4	,	,	PUNCT
ejpam-6084	257	5	α2	α2	PROPN
ejpam-6084	257	6	)	)	PUNCT
ejpam-6084	258	1	+	+	NOUN
ejpam-6084	258	2	qn(u	qn(u	NOUN
ejpam-6084	258	3	,	,	PUNCT
ejpam-6084	258	4	u	u	NOUN
ejpam-6084	258	5	,	,	PUNCT
ejpam-6084	258	6	.	.	PUNCT
ejpam-6084	258	7	.	.	PUNCT
ejpam-6084	259	1	.	.	PUNCT
ejpam-6084	260	1	,	,	PUNCT
ejpam-6084	260	2	b11	b11	PROPN
ejpam-6084	260	3	,	,	PUNCT
ejpam-6084	260	4	α1,ψ(α2	α1,ψ(α2	PROPN
ejpam-6084	260	5	)	)	PUNCT
ejpam-6084	260	6	)	)	PUNCT
ejpam-6084	261	1	+	+	PUNCT
ejpam-6084	261	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	261	3	)	)	PUNCT
ejpam-6084	261	4	,	,	PUNCT
ejpam-6084	261	5	u	u	NOUN
ejpam-6084	261	6	,	,	PUNCT
ejpam-6084	261	7	.	.	PUNCT
ejpam-6084	261	8	.	.	PUNCT
ejpam-6084	261	9	.	.	PUNCT
ejpam-6084	262	1	,	,	PUNCT
ejpam-6084	262	2	b12	b12	NOUN
ejpam-6084	262	3	,	,	PUNCT
ejpam-6084	262	4	α1	α1	PROPN
ejpam-6084	262	5	,	,	PUNCT
ejpam-6084	262	6	α2	α2	ADJ
ejpam-6084	262	7	)	)	PUNCT
ejpam-6084	263	1	+	+	NOUN
ejpam-6084	263	2	qn(u	qn(u	NOUN
ejpam-6084	263	3	,	,	PUNCT
ejpam-6084	263	4	ψ(u	ψ(u	PROPN
ejpam-6084	263	5	)	)	PUNCT
ejpam-6084	263	6	,	,	PUNCT
ejpam-6084	263	7	.	.	PUNCT
ejpam-6084	263	8	.	.	PUNCT
ejpam-6084	264	1	.	.	PUNCT
ejpam-6084	265	1	,	,	PUNCT
ejpam-6084	265	2	b12	b12	NOUN
ejpam-6084	265	3	,	,	PUNCT
ejpam-6084	265	4	α1	α1	PROPN
ejpam-6084	265	5	,	,	PUNCT
ejpam-6084	265	6	α2	α2	ADJ
ejpam-6084	265	7	)	)	PUNCT
ejpam-6084	265	8	+	+	CCONJ
ejpam-6084	265	9	·	·	PUNCT
ejpam-6084	265	10	·	·	PUNCT
ejpam-6084	265	11	·	·	PUNCT
ejpam-6084	265	12	+	+	NOUN
ejpam-6084	265	13	qn(u	qn(u	NOUN
ejpam-6084	265	14	,	,	PUNCT
ejpam-6084	265	15	u	u	NOUN
ejpam-6084	265	16	,	,	PUNCT
ejpam-6084	265	17	.	.	PUNCT
ejpam-6084	265	18	.	.	PUNCT
ejpam-6084	265	19	.	.	PUNCT
ejpam-6084	266	1	,	,	PUNCT
ejpam-6084	266	2	ψ(b12	ψ(b12	NOUN
ejpam-6084	266	3	)	)	PUNCT
ejpam-6084	266	4	,	,	PUNCT
ejpam-6084	266	5	α1	α1	PROPN
ejpam-6084	266	6	,	,	PUNCT
ejpam-6084	266	7	α2	α2	PROPN
ejpam-6084	266	8	)	)	PUNCT
ejpam-6084	267	1	+	+	NOUN
ejpam-6084	267	2	qn(u	qn(u	NOUN
ejpam-6084	267	3	,	,	PUNCT
ejpam-6084	267	4	u	u	NOUN
ejpam-6084	267	5	,	,	PUNCT
ejpam-6084	267	6	.	.	PUNCT
ejpam-6084	267	7	.	.	PUNCT
ejpam-6084	268	1	.	.	PUNCT
ejpam-6084	269	1	,	,	PUNCT
ejpam-6084	269	2	b12,ψ(α1	b12,ψ(α1	PROPN
ejpam-6084	269	3	)	)	PUNCT
ejpam-6084	269	4	,	,	PUNCT
ejpam-6084	269	5	α2	α2	PROPN
ejpam-6084	269	6	)	)	PUNCT
ejpam-6084	270	1	+	+	NOUN
ejpam-6084	270	2	qn(u	qn(u	NOUN
ejpam-6084	270	3	,	,	PUNCT
ejpam-6084	270	4	u	u	NOUN
ejpam-6084	270	5	,	,	PUNCT
ejpam-6084	270	6	.	.	PUNCT
ejpam-6084	270	7	.	.	PUNCT
ejpam-6084	271	1	.	.	PUNCT
ejpam-6084	272	1	,	,	PUNCT
ejpam-6084	272	2	b12	b12	NOUN
ejpam-6084	272	3	,	,	PUNCT
ejpam-6084	272	4	α1,ψ(α2	α1,ψ(α2	PROPN
ejpam-6084	272	5	)	)	PUNCT
ejpam-6084	272	6	)	)	PUNCT
ejpam-6084	273	1	+	+	PUNCT
ejpam-6084	273	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	273	3	)	)	PUNCT
ejpam-6084	273	4	,	,	PUNCT
ejpam-6084	273	5	u	u	NOUN
ejpam-6084	273	6	,	,	PUNCT
ejpam-6084	273	7	.	.	PUNCT
ejpam-6084	273	8	.	.	PUNCT
ejpam-6084	274	1	.	.	PUNCT
ejpam-6084	275	1	,	,	PUNCT
ejpam-6084	275	2	b21	b21	PROPN
ejpam-6084	275	3	,	,	PUNCT
ejpam-6084	275	4	α1	α1	PROPN
ejpam-6084	275	5	,	,	PUNCT
ejpam-6084	275	6	α2	α2	PROPN
ejpam-6084	275	7	)	)	PUNCT
ejpam-6084	276	1	+	+	NOUN
ejpam-6084	276	2	qn(u	qn(u	NOUN
ejpam-6084	276	3	,	,	PUNCT
ejpam-6084	276	4	ψ(u	ψ(u	PROPN
ejpam-6084	276	5	)	)	PUNCT
ejpam-6084	276	6	,	,	PUNCT
ejpam-6084	276	7	.	.	PUNCT
ejpam-6084	276	8	.	.	PUNCT
ejpam-6084	277	1	.	.	PUNCT
ejpam-6084	278	1	,	,	PUNCT
ejpam-6084	278	2	b21	b21	PROPN
ejpam-6084	278	3	,	,	PUNCT
ejpam-6084	278	4	α1	α1	PROPN
ejpam-6084	278	5	,	,	PUNCT
ejpam-6084	278	6	α2	α2	ADJ
ejpam-6084	278	7	)	)	PUNCT
ejpam-6084	279	1	+	+	CCONJ
ejpam-6084	280	1	·	·	PUNCT
ejpam-6084	280	2	·	·	PUNCT
ejpam-6084	280	3	·	·	PUNCT
ejpam-6084	280	4	+	+	NOUN
ejpam-6084	280	5	qn(u	qn(u	NOUN
ejpam-6084	280	6	,	,	PUNCT
ejpam-6084	280	7	u	u	NOUN
ejpam-6084	280	8	,	,	PUNCT
ejpam-6084	280	9	.	.	PUNCT
ejpam-6084	280	10	.	.	PUNCT
ejpam-6084	280	11	.	.	PUNCT
ejpam-6084	281	1	,	,	PUNCT
ejpam-6084	281	2	ψ(b21	ψ(b21	NOUN
ejpam-6084	281	3	)	)	PUNCT
ejpam-6084	281	4	,	,	PUNCT
ejpam-6084	281	5	α1	α1	PROPN
ejpam-6084	281	6	,	,	PUNCT
ejpam-6084	281	7	α2	α2	PROPN
ejpam-6084	281	8	)	)	PUNCT
ejpam-6084	281	9	+	+	NOUN
ejpam-6084	281	10	qn(u	qn(u	NOUN
ejpam-6084	281	11	,	,	PUNCT
ejpam-6084	281	12	u	u	NOUN
ejpam-6084	281	13	,	,	PUNCT
ejpam-6084	281	14	.	.	PUNCT
ejpam-6084	281	15	.	.	PUNCT
ejpam-6084	282	1	.	.	PUNCT
ejpam-6084	283	1	,	,	PUNCT
ejpam-6084	283	2	b21,ψ(α1	b21,ψ(α1	NOUN
ejpam-6084	283	3	)	)	PUNCT
ejpam-6084	283	4	,	,	PUNCT
ejpam-6084	283	5	α2	α2	PROPN
ejpam-6084	283	6	)	)	PUNCT
ejpam-6084	284	1	+	+	NOUN
ejpam-6084	284	2	qn(u	qn(u	NOUN
ejpam-6084	284	3	,	,	PUNCT
ejpam-6084	284	4	u	u	NOUN
ejpam-6084	284	5	,	,	PUNCT
ejpam-6084	284	6	.	.	PUNCT
ejpam-6084	284	7	.	.	PUNCT
ejpam-6084	285	1	.	.	PUNCT
ejpam-6084	286	1	,	,	PUNCT
ejpam-6084	286	2	b21	b21	PROPN
ejpam-6084	286	3	,	,	PUNCT
ejpam-6084	286	4	α1,ψ(α2	α1,ψ(α2	PROPN
ejpam-6084	286	5	)	)	PUNCT
ejpam-6084	286	6	)	)	PUNCT
ejpam-6084	287	1	=	=	PUNCT
ejpam-6084	287	2	qn((ψ(u	qn((ψ(u	PROPN
ejpam-6084	287	3	)	)	PUNCT
ejpam-6084	287	4	,	,	PUNCT
ejpam-6084	287	5	u	u	NOUN
ejpam-6084	287	6	,	,	PUNCT
ejpam-6084	287	7	.	.	PUNCT
ejpam-6084	287	8	.	.	PUNCT
ejpam-6084	287	9	.	.	PUNCT
ejpam-6084	288	1	,	,	PUNCT
ejpam-6084	288	2	b11	b11	PROPN
ejpam-6084	288	3	+	+	NOUN
ejpam-6084	288	4	b12	b12	NOUN
ejpam-6084	288	5	+	+	SYM
ejpam-6084	288	6	b21	b21	PROPN
ejpam-6084	288	7	,	,	PUNCT
ejpam-6084	288	8	α1	α1	PROPN
ejpam-6084	288	9	,	,	PUNCT
ejpam-6084	288	10	α2	α2	ADJ
ejpam-6084	288	11	)	)	PUNCT
ejpam-6084	289	1	+	+	NUM
ejpam-6084	289	2	qn((u	qn((u	NOUN
ejpam-6084	289	3	,	,	PUNCT
ejpam-6084	289	4	ψ(u	ψ(u	PROPN
ejpam-6084	289	5	)	)	PUNCT
ejpam-6084	289	6	,	,	PUNCT
ejpam-6084	289	7	.	.	PUNCT
ejpam-6084	289	8	.	.	PUNCT
ejpam-6084	290	1	.	.	PUNCT
ejpam-6084	291	1	,	,	PUNCT
ejpam-6084	291	2	b11	b11	PROPN
ejpam-6084	291	3	+	+	NOUN
ejpam-6084	291	4	b12	b12	NOUN
ejpam-6084	291	5	+	+	SYM
ejpam-6084	291	6	b21	b21	PROPN
ejpam-6084	291	7	,	,	PUNCT
ejpam-6084	291	8	α1	α1	PROPN
ejpam-6084	291	9	,	,	PUNCT
ejpam-6084	291	10	α2	α2	ADJ
ejpam-6084	291	11	)	)	PUNCT
ejpam-6084	291	12	+	+	CCONJ
ejpam-6084	291	13	·	·	PUNCT
ejpam-6084	291	14	·	·	PUNCT
ejpam-6084	291	15	·	·	PUNCT
ejpam-6084	291	16	+	+	NUM
ejpam-6084	291	17	qn((u	qn((u	NOUN
ejpam-6084	291	18	,	,	PUNCT
ejpam-6084	291	19	u	u	NOUN
ejpam-6084	291	20	,	,	PUNCT
ejpam-6084	291	21	.	.	PUNCT
ejpam-6084	291	22	.	.	PUNCT
ejpam-6084	291	23	.	.	PUNCT
ejpam-6084	292	1	,	,	PUNCT
ejpam-6084	292	2	ψ(b11	ψ(b11	NOUN
ejpam-6084	292	3	)	)	PUNCT
ejpam-6084	293	1	+	+	SYM
ejpam-6084	293	2	ψ(b12	ψ(b12	NOUN
ejpam-6084	293	3	)	)	PUNCT
ejpam-6084	294	1	+	+	CCONJ
ejpam-6084	294	2	ψ(b21	ψ(b21	NOUN
ejpam-6084	294	3	)	)	PUNCT
ejpam-6084	294	4	,	,	PUNCT
ejpam-6084	294	5	α1	α1	PROPN
ejpam-6084	294	6	,	,	PUNCT
ejpam-6084	294	7	α2	α2	ADJ
ejpam-6084	294	8	)	)	PUNCT
ejpam-6084	295	1	+	+	NUM
ejpam-6084	295	2	qn((u	qn((u	NOUN
ejpam-6084	295	3	,	,	PUNCT
ejpam-6084	295	4	u	u	NOUN
ejpam-6084	295	5	,	,	PUNCT
ejpam-6084	295	6	.	.	PUNCT
ejpam-6084	295	7	.	.	PUNCT
ejpam-6084	295	8	.	.	PUNCT
ejpam-6084	296	1	,	,	PUNCT
ejpam-6084	296	2	b11	b11	PROPN
ejpam-6084	296	3	+	+	CCONJ
ejpam-6084	296	4	b12	b12	NOUN
ejpam-6084	296	5	+	+	PROPN
ejpam-6084	296	6	b21,ψ(α1	b21,ψ(α1	PROPN
ejpam-6084	296	7	)	)	PUNCT
ejpam-6084	296	8	,	,	PUNCT
ejpam-6084	296	9	α2	α2	PROPN
ejpam-6084	296	10	)	)	PUNCT
ejpam-6084	297	1	+	+	NOUN
ejpam-6084	297	2	qn(u	qn(u	NOUN
ejpam-6084	297	3	,	,	PUNCT
ejpam-6084	297	4	u	u	NOUN
ejpam-6084	297	5	,	,	PUNCT
ejpam-6084	297	6	.	.	PUNCT
ejpam-6084	297	7	.	.	PUNCT
ejpam-6084	298	1	.	.	PUNCT
ejpam-6084	299	1	,	,	PUNCT
ejpam-6084	299	2	b11	b11	PROPN
ejpam-6084	299	3	+	+	NOUN
ejpam-6084	299	4	b12	b12	NOUN
ejpam-6084	299	5	+	+	SYM
ejpam-6084	299	6	b21	b21	NOUN
ejpam-6084	299	7	,	,	PUNCT
ejpam-6084	299	8	α1,ψ(α2	α1,ψ(α2	PROPN
ejpam-6084	299	9	)	)	PUNCT
ejpam-6084	299	10	)	)	PUNCT
ejpam-6084	299	11	.	.	PUNCT
ejpam-6084	300	1	alternatively	alternatively	ADV
ejpam-6084	300	2	,	,	PUNCT
ejpam-6084	300	3	we	we	PRON
ejpam-6084	300	4	obtain	obtain	VERB
ejpam-6084	300	5	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	300	6	,	,	PUNCT
ejpam-6084	300	7	u	u	NOUN
ejpam-6084	300	8	,	,	PUNCT
ejpam-6084	300	9	.	.	PUNCT
ejpam-6084	300	10	.	.	PUNCT
ejpam-6084	300	11	.	.	PUNCT
ejpam-6084	301	1	,	,	PUNCT
ejpam-6084	301	2	b11	b11	PROPN
ejpam-6084	301	3	+	+	NOUN
ejpam-6084	301	4	b12	b12	NOUN
ejpam-6084	301	5	+	+	SYM
ejpam-6084	301	6	b21	b21	PROPN
ejpam-6084	301	7	,	,	PUNCT
ejpam-6084	301	8	α1	α1	PROPN
ejpam-6084	301	9	,	,	PUNCT
ejpam-6084	301	10	α2	α2	PROPN
ejpam-6084	301	11	)	)	PUNCT
ejpam-6084	301	12	)	)	PUNCT
ejpam-6084	302	1	=	=	SYM
ejpam-6084	302	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	302	3	)	)	PUNCT
ejpam-6084	302	4	,	,	PUNCT
ejpam-6084	302	5	u	u	NOUN
ejpam-6084	302	6	,	,	PUNCT
ejpam-6084	302	7	.	.	PUNCT
ejpam-6084	302	8	.	.	PUNCT
ejpam-6084	302	9	.	.	PUNCT
ejpam-6084	303	1	,	,	PUNCT
ejpam-6084	303	2	b11	b11	PROPN
ejpam-6084	303	3	+	+	NOUN
ejpam-6084	303	4	b12	b12	NOUN
ejpam-6084	303	5	+	+	SYM
ejpam-6084	303	6	b21	b21	PROPN
ejpam-6084	303	7	,	,	PUNCT
ejpam-6084	303	8	α1	α1	PROPN
ejpam-6084	303	9	,	,	PUNCT
ejpam-6084	303	10	α2	α2	PROPN
ejpam-6084	303	11	)	)	PUNCT
ejpam-6084	304	1	+	+	NOUN
ejpam-6084	304	2	qn(u	qn(u	NOUN
ejpam-6084	304	3	,	,	PUNCT
ejpam-6084	304	4	ψ(u	ψ(u	PROPN
ejpam-6084	304	5	)	)	PUNCT
ejpam-6084	304	6	,	,	PUNCT
ejpam-6084	304	7	.	.	PUNCT
ejpam-6084	304	8	.	.	PUNCT
ejpam-6084	305	1	.	.	PUNCT
ejpam-6084	306	1	,	,	PUNCT
ejpam-6084	307	1	b11	b11	PROPN
ejpam-6084	307	2	+	+	NOUN
ejpam-6084	307	3	b12	b12	NOUN
ejpam-6084	307	4	+	+	SYM
ejpam-6084	307	5	b21	b21	PROPN
ejpam-6084	307	6	,	,	PUNCT
ejpam-6084	307	7	α1	α1	PROPN
ejpam-6084	307	8	,	,	PUNCT
ejpam-6084	307	9	α2	α2	ADJ
ejpam-6084	307	10	)	)	PUNCT
ejpam-6084	307	11	+	+	CCONJ
ejpam-6084	307	12	·	·	PUNCT
ejpam-6084	307	13	·	·	PUNCT
ejpam-6084	307	14	·	·	PUNCT
ejpam-6084	307	15	+	+	PUNCT
ejpam-6084	307	16	+	+	NOUN
ejpam-6084	307	17	qn(u	qn(u	NOUN
ejpam-6084	307	18	,	,	PUNCT
ejpam-6084	307	19	u	u	NOUN
ejpam-6084	307	20	,	,	PUNCT
ejpam-6084	307	21	.	.	PUNCT
ejpam-6084	307	22	.	.	PUNCT
ejpam-6084	307	23	.	.	PUNCT
ejpam-6084	308	1	,	,	PUNCT
ejpam-6084	308	2	ψ(b11	ψ(b11	VERB
ejpam-6084	308	3	+	+	CCONJ
ejpam-6084	308	4	b12	b12	NOUN
ejpam-6084	308	5	+	+	ADJ
ejpam-6084	308	6	b21	b21	NOUN
ejpam-6084	308	7	)	)	PUNCT
ejpam-6084	308	8	,	,	PUNCT
ejpam-6084	308	9	α1	α1	PROPN
ejpam-6084	308	10	,	,	PUNCT
ejpam-6084	308	11	α2	α2	PROPN
ejpam-6084	308	12	)	)	PUNCT
ejpam-6084	309	1	+	+	NOUN
ejpam-6084	309	2	qn(u	qn(u	NOUN
ejpam-6084	309	3	,	,	PUNCT
ejpam-6084	309	4	u	u	NOUN
ejpam-6084	309	5	,	,	PUNCT
ejpam-6084	309	6	.	.	PUNCT
ejpam-6084	309	7	.	.	PUNCT
ejpam-6084	310	1	.	.	PUNCT
ejpam-6084	311	1	,	,	PUNCT
ejpam-6084	311	2	b11	b11	PROPN
ejpam-6084	311	3	+	+	NOUN
ejpam-6084	311	4	b12	b12	NOUN
ejpam-6084	311	5	+	+	SYM
ejpam-6084	311	6	b21	b21	NOUN
ejpam-6084	311	7	,	,	PUNCT
ejpam-6084	311	8	ψ(α1	ψ(α1	NOUN
ejpam-6084	311	9	)	)	PUNCT
ejpam-6084	311	10	,	,	PUNCT
ejpam-6084	311	11	α2	α2	PROPN
ejpam-6084	311	12	)	)	PUNCT
ejpam-6084	312	1	+	+	NOUN
ejpam-6084	312	2	qn(u	qn(u	NOUN
ejpam-6084	312	3	,	,	PUNCT
ejpam-6084	312	4	u	u	NOUN
ejpam-6084	312	5	,	,	PUNCT
ejpam-6084	312	6	.	.	PUNCT
ejpam-6084	312	7	.	.	PUNCT
ejpam-6084	313	1	.	.	PUNCT
ejpam-6084	314	1	,	,	PUNCT
ejpam-6084	314	2	b11	b11	PROPN
ejpam-6084	314	3	+	+	NOUN
ejpam-6084	314	4	b12	b12	NOUN
ejpam-6084	314	5	+	+	SYM
ejpam-6084	314	6	b21	b21	NOUN
ejpam-6084	314	7	,	,	PUNCT
ejpam-6084	314	8	α1,ψ(α2	α1,ψ(α2	PROPN
ejpam-6084	314	9	)	)	PUNCT
ejpam-6084	314	10	)	)	PUNCT
ejpam-6084	314	11	.	.	PUNCT
ejpam-6084	315	1	comparing	compare	VERB
ejpam-6084	315	2	the	the	DET
ejpam-6084	315	3	last	last	ADJ
ejpam-6084	315	4	expressions	expression	NOUN
ejpam-6084	315	5	for	for	ADP
ejpam-6084	315	6	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	315	7	,	,	PUNCT
ejpam-6084	315	8	u	u	NOUN
ejpam-6084	315	9	,	,	PUNCT
ejpam-6084	315	10	.	.	PUNCT
ejpam-6084	315	11	.	.	PUNCT
ejpam-6084	316	1	.	.	PUNCT
ejpam-6084	317	1	,	,	PUNCT
ejpam-6084	317	2	b11+b12+b21	b11+b12+b21	PROPN
ejpam-6084	317	3	,	,	PUNCT
ejpam-6084	317	4	α1	α1	PROPN
ejpam-6084	317	5	,	,	PUNCT
ejpam-6084	317	6	α2	α2	PROPN
ejpam-6084	317	7	)	)	PUNCT
ejpam-6084	317	8	)	)	PUNCT
ejpam-6084	317	9	to	to	PART
ejpam-6084	317	10	get	get	VERB
ejpam-6084	317	11	qn(u	qn(u	NOUN
ejpam-6084	317	12	,	,	PUNCT
ejpam-6084	317	13	u	u	NOUN
ejpam-6084	317	14	,	,	PUNCT
ejpam-6084	317	15	.	.	PUNCT
ejpam-6084	317	16	.	.	PUNCT
ejpam-6084	318	1	.	.	PUNCT
ejpam-6084	319	1	,	,	PUNCT
ejpam-6084	319	2	h	h	NOUN
ejpam-6084	319	3	,	,	PUNCT
ejpam-6084	319	4	α1	α1	PROPN
ejpam-6084	319	5	,	,	PUNCT
ejpam-6084	319	6	α2	α2	ADJ
ejpam-6084	319	7	)	)	PUNCT
ejpam-6084	319	8	=	=	SYM
ejpam-6084	319	9	0	0	X
ejpam-6084	319	10	.	.	PUNCT
ejpam-6084	320	1	that	that	DET
ejpam-6084	320	2	impliesh12	impliesh12	VERB
ejpam-6084	320	3	=	=	SYM
ejpam-6084	320	4	0	0	NUM
ejpam-6084	320	5	,	,	PUNCT
ejpam-6084	320	6	andh21	andh21	NOUN
ejpam-6084	320	7	=	=	SYM
ejpam-6084	320	8	0	0	X
ejpam-6084	320	9	.	.	PUNCT
ejpam-6084	321	1	based	base	VERB
ejpam-6084	321	2	on	on	ADP
ejpam-6084	321	3	the	the	DET
ejpam-6084	321	4	facts	fact	NOUN
ejpam-6084	321	5	qn(u	qn(u	NOUN
ejpam-6084	321	6	,	,	PUNCT
ejpam-6084	321	7	u	u	NOUN
ejpam-6084	321	8	.	.	PUNCT
ejpam-6084	321	9	.	.	PUNCT
ejpam-6084	321	10	.	.	PUNCT
ejpam-6084	322	1	,	,	PUNCT
ejpam-6084	322	2	(	(	PUNCT
ejpam-6084	322	3	α1	α1	PROPN
ejpam-6084	322	4	−	−	PROPN
ejpam-6084	322	5	α2	α2	PROPN
ejpam-6084	322	6	)	)	PUNCT
ejpam-6084	322	7	,	,	PUNCT
ejpam-6084	322	8	b12	b12	NOUN
ejpam-6084	322	9	)	)	PUNCT
ejpam-6084	322	10	=	=	SYM
ejpam-6084	322	11	qn(u	qn(u	NOUN
ejpam-6084	322	12	,	,	PUNCT
ejpam-6084	322	13	u	u	NOUN
ejpam-6084	322	14	,	,	PUNCT
ejpam-6084	322	15	.	.	PUNCT
ejpam-6084	322	16	.	.	PUNCT
ejpam-6084	322	17	.	.	PUNCT
ejpam-6084	323	1	(	(	PUNCT
ejpam-6084	323	2	α1	α1	PROPN
ejpam-6084	323	3	−	−	PROPN
ejpam-6084	323	4	α2	α2	PROPN
ejpam-6084	323	5	)	)	PUNCT
ejpam-6084	323	6	,	,	PUNCT
ejpam-6084	323	7	b21	b21	PROPN
ejpam-6084	323	8	)	)	PUNCT
ejpam-6084	323	9	=	=	SYM
ejpam-6084	323	10	0	0	PUNCT
ejpam-6084	323	11	and	and	CCONJ
ejpam-6084	323	12	use	use	VERB
ejpam-6084	323	13	lemma	lemma	PROPN
ejpam-6084	323	14	1	1	NUM
ejpam-6084	323	15	to	to	PART
ejpam-6084	323	16	get	get	VERB
ejpam-6084	323	17	that	that	DET
ejpam-6084	323	18	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	323	19	,	,	PUNCT
ejpam-6084	323	20	u	u	NOUN
ejpam-6084	323	21	,	,	PUNCT
ejpam-6084	323	22	.	.	PUNCT
ejpam-6084	323	23	.	.	PUNCT
ejpam-6084	323	24	.	.	PUNCT
ejpam-6084	324	1	,	,	PUNCT
ejpam-6084	324	2	(	(	PUNCT
ejpam-6084	324	3	α1	α1	PROPN
ejpam-6084	324	4	−	−	PROPN
ejpam-6084	324	5	α2	α2	PROPN
ejpam-6084	324	6	)	)	PUNCT
ejpam-6084	324	7	,	,	PUNCT
ejpam-6084	324	8	(	(	PUNCT
ejpam-6084	324	9	b11	b11	NOUN
ejpam-6084	324	10	+	+	NOUN
ejpam-6084	324	11	b12	b12	NOUN
ejpam-6084	324	12	+	+	NOUN
ejpam-6084	324	13	b21	b21	NOUN
ejpam-6084	324	14	)	)	PUNCT
ejpam-6084	324	15	)	)	PUNCT
ejpam-6084	324	16	)	)	PUNCT
ejpam-6084	325	1	=	=	PUNCT
ejpam-6084	325	2	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	325	3	,	,	PUNCT
ejpam-6084	325	4	u	u	NOUN
ejpam-6084	325	5	,	,	PUNCT
ejpam-6084	325	6	.	.	PUNCT
ejpam-6084	325	7	.	.	PUNCT
ejpam-6084	325	8	.	.	PUNCT
ejpam-6084	326	1	,	,	PUNCT
ejpam-6084	326	2	(	(	PUNCT
ejpam-6084	326	3	α1	α1	PROPN
ejpam-6084	326	4	−	−	PROPN
ejpam-6084	326	5	α2	α2	PROPN
ejpam-6084	326	6	)	)	PUNCT
ejpam-6084	326	7	,	,	PUNCT
ejpam-6084	326	8	b11	b11	NOUN
ejpam-6084	326	9	)	)	PUNCT
ejpam-6084	326	10	)	)	PUNCT
ejpam-6084	327	1	+	+	PUNCT
ejpam-6084	327	2	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	327	3	,	,	PUNCT
ejpam-6084	327	4	u	u	NOUN
ejpam-6084	327	5	,	,	PUNCT
ejpam-6084	327	6	.	.	PUNCT
ejpam-6084	327	7	.	.	PUNCT
ejpam-6084	327	8	.	.	PUNCT
ejpam-6084	328	1	,	,	PUNCT
ejpam-6084	328	2	(	(	PUNCT
ejpam-6084	328	3	α1	α1	PROPN
ejpam-6084	328	4	−	−	PROPN
ejpam-6084	328	5	α2	α2	PROPN
ejpam-6084	328	6	)	)	PUNCT
ejpam-6084	328	7	,	,	PUNCT
ejpam-6084	328	8	b12	b12	NOUN
ejpam-6084	328	9	)	)	PUNCT
ejpam-6084	329	1	+	+	NOUN
ejpam-6084	329	2	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	329	3	,	,	PUNCT
ejpam-6084	329	4	u	u	NOUN
ejpam-6084	329	5	,	,	PUNCT
ejpam-6084	329	6	.	.	PUNCT
ejpam-6084	329	7	.	.	PUNCT
ejpam-6084	329	8	.	.	PUNCT
ejpam-6084	330	1	,	,	PUNCT
ejpam-6084	330	2	(	(	PUNCT
ejpam-6084	330	3	α1	α1	PROPN
ejpam-6084	330	4	−	−	PROPN
ejpam-6084	330	5	α2	α2	PROPN
ejpam-6084	330	6	)	)	PUNCT
ejpam-6084	330	7	,	,	PUNCT
ejpam-6084	330	8	b21	b21	PROPN
ejpam-6084	330	9	)	)	PUNCT
ejpam-6084	330	10	)	)	PUNCT
ejpam-6084	331	1	=	=	SYM
ejpam-6084	331	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	331	3	)	)	PUNCT
ejpam-6084	331	4	,	,	PUNCT
ejpam-6084	331	5	u	u	NOUN
ejpam-6084	331	6	,	,	PUNCT
ejpam-6084	331	7	.	.	PUNCT
ejpam-6084	331	8	.	.	PUNCT
ejpam-6084	331	9	.	.	PUNCT
ejpam-6084	332	1	,	,	PUNCT
ejpam-6084	332	2	(	(	PUNCT
ejpam-6084	332	3	α1	α1	PROPN
ejpam-6084	332	4	−	−	PROPN
ejpam-6084	332	5	α2	α2	PROPN
ejpam-6084	332	6	)	)	PUNCT
ejpam-6084	332	7	,	,	PUNCT
ejpam-6084	332	8	b11	b11	PROPN
ejpam-6084	332	9	)	)	PUNCT
ejpam-6084	333	1	+	+	NOUN
ejpam-6084	333	2	qn(u	qn(u	NOUN
ejpam-6084	333	3	,	,	PUNCT
ejpam-6084	333	4	ψ(u	ψ(u	PROPN
ejpam-6084	333	5	)	)	PUNCT
ejpam-6084	333	6	,	,	PUNCT
ejpam-6084	333	7	.	.	PUNCT
ejpam-6084	333	8	.	.	PUNCT
ejpam-6084	334	1	.	.	PUNCT
ejpam-6084	335	1	,	,	PUNCT
ejpam-6084	335	2	(	(	PUNCT
ejpam-6084	335	3	α1	α1	PROPN
ejpam-6084	335	4	−	−	PROPN
ejpam-6084	335	5	α2	α2	PROPN
ejpam-6084	335	6	)	)	PUNCT
ejpam-6084	335	7	,	,	PUNCT
ejpam-6084	335	8	b11	b11	PROPN
ejpam-6084	335	9	)	)	PUNCT
ejpam-6084	335	10	+	+	CCONJ
ejpam-6084	335	11	·	·	PUNCT
ejpam-6084	335	12	·	·	PUNCT
ejpam-6084	335	13	·	·	PUNCT
ejpam-6084	336	1	+	+	NOUN
ejpam-6084	336	2	qn(u	qn(u	NOUN
ejpam-6084	336	3	,	,	PUNCT
ejpam-6084	336	4	u	u	NOUN
ejpam-6084	336	5	,	,	PUNCT
ejpam-6084	336	6	.	.	PUNCT
ejpam-6084	336	7	.	.	PUNCT
ejpam-6084	336	8	.	.	PUNCT
ejpam-6084	337	1	,	,	PUNCT
ejpam-6084	337	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	337	3	−	−	PROPN
ejpam-6084	337	4	α2	α2	ADV
ejpam-6084	337	5	)	)	PUNCT
ejpam-6084	337	6	,	,	PUNCT
ejpam-6084	337	7	b11	b11	PROPN
ejpam-6084	337	8	)	)	PUNCT
ejpam-6084	338	1	+	+	NOUN
ejpam-6084	338	2	qn(u	qn(u	NOUN
ejpam-6084	338	3	,	,	PUNCT
ejpam-6084	338	4	u	u	NOUN
ejpam-6084	338	5	,	,	PUNCT
ejpam-6084	338	6	.	.	PUNCT
ejpam-6084	338	7	.	.	PUNCT
ejpam-6084	339	1	.	.	PUNCT
ejpam-6084	340	1	,	,	PUNCT
ejpam-6084	340	2	(	(	PUNCT
ejpam-6084	340	3	α1	α1	PROPN
ejpam-6084	340	4	−	−	PROPN
ejpam-6084	340	5	α2),ψ(b11	α2),ψ(b11	NOUN
ejpam-6084	340	6	)	)	PUNCT
ejpam-6084	340	7	)	)	PUNCT
ejpam-6084	341	1	+	+	PUNCT
ejpam-6084	341	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	341	3	)	)	PUNCT
ejpam-6084	341	4	,	,	PUNCT
ejpam-6084	341	5	u	u	NOUN
ejpam-6084	341	6	,	,	PUNCT
ejpam-6084	341	7	.	.	PUNCT
ejpam-6084	341	8	.	.	PUNCT
ejpam-6084	341	9	.	.	PUNCT
ejpam-6084	342	1	,	,	PUNCT
ejpam-6084	342	2	(	(	PUNCT
ejpam-6084	342	3	α1	α1	PROPN
ejpam-6084	342	4	−	−	PROPN
ejpam-6084	342	5	α2	α2	PROPN
ejpam-6084	342	6	)	)	PUNCT
ejpam-6084	342	7	,	,	PUNCT
ejpam-6084	342	8	b12	b12	NOUN
ejpam-6084	342	9	)	)	PUNCT
ejpam-6084	343	1	+	+	NOUN
ejpam-6084	343	2	qn(u	qn(u	NOUN
ejpam-6084	343	3	,	,	PUNCT
ejpam-6084	343	4	ψ(u	ψ(u	PROPN
ejpam-6084	343	5	)	)	PUNCT
ejpam-6084	343	6	,	,	PUNCT
ejpam-6084	343	7	.	.	PUNCT
ejpam-6084	343	8	.	.	PUNCT
ejpam-6084	344	1	.	.	PUNCT
ejpam-6084	345	1	,	,	PUNCT
ejpam-6084	345	2	(	(	PUNCT
ejpam-6084	345	3	α1	α1	PROPN
ejpam-6084	345	4	−	−	PROPN
ejpam-6084	345	5	α2	α2	PROPN
ejpam-6084	345	6	)	)	PUNCT
ejpam-6084	345	7	,	,	PUNCT
ejpam-6084	345	8	b12	b12	NOUN
ejpam-6084	345	9	)	)	PUNCT
ejpam-6084	345	10	md	md	PROPN
ejpam-6084	345	11	arshad	arshad	PROPN
ejpam-6084	345	12	madni	madni	PROPN
ejpam-6084	345	13	et	et	PROPN
ejpam-6084	345	14	al	al	PROPN
ejpam-6084	345	15	.	.	PUNCT
ejpam-6084	345	16	/	/	SYM
ejpam-6084	345	17	eur	eur	PROPN
ejpam-6084	345	18	.	.	PUNCT
ejpam-6084	346	1	j.	j.	PROPN
ejpam-6084	346	2	pure	pure	PROPN
ejpam-6084	346	3	appl	appl	PROPN
ejpam-6084	346	4	.	.	PROPN
ejpam-6084	346	5	math	math	PROPN
ejpam-6084	346	6	,	,	PUNCT
ejpam-6084	346	7	18	18	NUM
ejpam-6084	346	8	(	(	PUNCT
ejpam-6084	346	9	2	2	NUM
ejpam-6084	346	10	)	)	PUNCT
ejpam-6084	346	11	(	(	PUNCT
ejpam-6084	346	12	2025	2025	NUM
ejpam-6084	346	13	)	)	PUNCT
ejpam-6084	346	14	,	,	PUNCT
ejpam-6084	346	15	6084	6084	NUM
ejpam-6084	346	16	6	6	NUM
ejpam-6084	346	17	of	of	ADP
ejpam-6084	346	18	16	16	NUM
ejpam-6084	346	19	+	+	CCONJ
ejpam-6084	346	20	·	·	PUNCT
ejpam-6084	346	21	·	·	PUNCT
ejpam-6084	346	22	·	·	PUNCT
ejpam-6084	347	1	+	+	NOUN
ejpam-6084	347	2	qn(u	qn(u	NOUN
ejpam-6084	347	3	,	,	PUNCT
ejpam-6084	347	4	u	u	NOUN
ejpam-6084	347	5	,	,	PUNCT
ejpam-6084	347	6	.	.	PUNCT
ejpam-6084	347	7	.	.	PUNCT
ejpam-6084	347	8	.	.	PUNCT
ejpam-6084	348	1	,	,	PUNCT
ejpam-6084	348	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	348	3	−	−	PROPN
ejpam-6084	348	4	α2	α2	ADV
ejpam-6084	348	5	)	)	PUNCT
ejpam-6084	348	6	,	,	PUNCT
ejpam-6084	348	7	b12	b12	NOUN
ejpam-6084	348	8	)	)	PUNCT
ejpam-6084	349	1	+	+	NOUN
ejpam-6084	349	2	qn(u	qn(u	NOUN
ejpam-6084	349	3	,	,	PUNCT
ejpam-6084	349	4	u	u	NOUN
ejpam-6084	349	5	,	,	PUNCT
ejpam-6084	349	6	.	.	PUNCT
ejpam-6084	349	7	.	.	PUNCT
ejpam-6084	350	1	.	.	PUNCT
ejpam-6084	351	1	,	,	PUNCT
ejpam-6084	351	2	(	(	PUNCT
ejpam-6084	351	3	α1	α1	PROPN
ejpam-6084	351	4	−	−	PROPN
ejpam-6084	351	5	α2),ψ(b12	α2),ψ(b12	NUM
ejpam-6084	351	6	)	)	PUNCT
ejpam-6084	351	7	)	)	PUNCT
ejpam-6084	352	1	+	+	PUNCT
ejpam-6084	352	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	352	3	)	)	PUNCT
ejpam-6084	352	4	,	,	PUNCT
ejpam-6084	352	5	u	u	NOUN
ejpam-6084	352	6	.	.	PUNCT
ejpam-6084	352	7	.	.	PUNCT
ejpam-6084	352	8	.	.	PUNCT
ejpam-6084	353	1	,	,	PUNCT
ejpam-6084	353	2	(	(	PUNCT
ejpam-6084	353	3	α1	α1	PROPN
ejpam-6084	353	4	−	−	PROPN
ejpam-6084	353	5	α2	α2	PROPN
ejpam-6084	353	6	)	)	PUNCT
ejpam-6084	353	7	,	,	PUNCT
ejpam-6084	353	8	b21	b21	PROPN
ejpam-6084	353	9	)	)	PUNCT
ejpam-6084	353	10	+	+	PROPN
ejpam-6084	353	11	qn(u	qn(u	NOUN
ejpam-6084	353	12	,	,	PUNCT
ejpam-6084	353	13	ψ(u	ψ(u	PROPN
ejpam-6084	353	14	)	)	PUNCT
ejpam-6084	353	15	,	,	PUNCT
ejpam-6084	353	16	.	.	PUNCT
ejpam-6084	353	17	.	.	PUNCT
ejpam-6084	353	18	.	.	PUNCT
ejpam-6084	354	1	,	,	PUNCT
ejpam-6084	354	2	(	(	PUNCT
ejpam-6084	354	3	α1	α1	PROPN
ejpam-6084	354	4	−	−	PROPN
ejpam-6084	354	5	α2	α2	PROPN
ejpam-6084	354	6	)	)	PUNCT
ejpam-6084	354	7	,	,	PUNCT
ejpam-6084	354	8	b21	b21	PROPN
ejpam-6084	354	9	)	)	PUNCT
ejpam-6084	354	10	+	+	CCONJ
ejpam-6084	354	11	·	·	PUNCT
ejpam-6084	354	12	·	·	PUNCT
ejpam-6084	354	13	·	·	PUNCT
ejpam-6084	355	1	+	+	NOUN
ejpam-6084	355	2	qn(u	qn(u	NOUN
ejpam-6084	355	3	,	,	PUNCT
ejpam-6084	355	4	u	u	NOUN
ejpam-6084	355	5	,	,	PUNCT
ejpam-6084	355	6	.	.	PUNCT
ejpam-6084	355	7	.	.	PUNCT
ejpam-6084	355	8	.	.	PUNCT
ejpam-6084	356	1	,	,	PUNCT
ejpam-6084	356	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	356	3	−	−	PROPN
ejpam-6084	356	4	α2	α2	ADV
ejpam-6084	356	5	)	)	PUNCT
ejpam-6084	356	6	,	,	PUNCT
ejpam-6084	356	7	b21	b21	PROPN
ejpam-6084	356	8	)	)	PUNCT
ejpam-6084	356	9	+	+	PROPN
ejpam-6084	356	10	qn(u	qn(u	NOUN
ejpam-6084	356	11	,	,	PUNCT
ejpam-6084	356	12	u	u	NOUN
ejpam-6084	356	13	,	,	PUNCT
ejpam-6084	356	14	.	.	PUNCT
ejpam-6084	356	15	.	.	PUNCT
ejpam-6084	357	1	.	.	PUNCT
ejpam-6084	358	1	,	,	PUNCT
ejpam-6084	358	2	(	(	PUNCT
ejpam-6084	358	3	α1	α1	PROPN
ejpam-6084	358	4	−	−	PROPN
ejpam-6084	358	5	α2),ψ(b21	α2),ψ(b21	NUM
ejpam-6084	358	6	)	)	PUNCT
ejpam-6084	358	7	)	)	PUNCT
ejpam-6084	359	1	=	=	SYM
ejpam-6084	359	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	359	3	)	)	PUNCT
ejpam-6084	359	4	,	,	PUNCT
ejpam-6084	359	5	u	u	NOUN
ejpam-6084	359	6	,	,	PUNCT
ejpam-6084	359	7	.	.	PUNCT
ejpam-6084	359	8	.	.	PUNCT
ejpam-6084	359	9	.	.	PUNCT
ejpam-6084	360	1	,	,	PUNCT
ejpam-6084	360	2	(	(	PUNCT
ejpam-6084	360	3	α1	α1	PROPN
ejpam-6084	360	4	−	−	PROPN
ejpam-6084	360	5	α2	α2	PROPN
ejpam-6084	360	6	)	)	PUNCT
ejpam-6084	360	7	,	,	PUNCT
ejpam-6084	360	8	(	(	PUNCT
ejpam-6084	360	9	b11	b11	NOUN
ejpam-6084	360	10	+	+	NOUN
ejpam-6084	360	11	b12	b12	NOUN
ejpam-6084	360	12	+	+	NOUN
ejpam-6084	360	13	b21	b21	NOUN
ejpam-6084	360	14	)	)	PUNCT
ejpam-6084	360	15	)	)	PUNCT
ejpam-6084	361	1	+	+	NOUN
ejpam-6084	361	2	qn(u	qn(u	NOUN
ejpam-6084	361	3	,	,	PUNCT
ejpam-6084	361	4	ψ(u	ψ(u	PROPN
ejpam-6084	361	5	)	)	PUNCT
ejpam-6084	361	6	,	,	PUNCT
ejpam-6084	361	7	.	.	PUNCT
ejpam-6084	361	8	.	.	PUNCT
ejpam-6084	362	1	.	.	PUNCT
ejpam-6084	363	1	,	,	PUNCT
ejpam-6084	363	2	(	(	PUNCT
ejpam-6084	363	3	α1	α1	PROPN
ejpam-6084	363	4	−	−	PROPN
ejpam-6084	363	5	α2	α2	PROPN
ejpam-6084	363	6	)	)	PUNCT
ejpam-6084	363	7	,	,	PUNCT
ejpam-6084	363	8	(	(	PUNCT
ejpam-6084	363	9	b11	b11	NOUN
ejpam-6084	363	10	+	+	NOUN
ejpam-6084	363	11	b12	b12	NOUN
ejpam-6084	363	12	+	+	NOUN
ejpam-6084	363	13	b21	b21	NOUN
ejpam-6084	363	14	)	)	PUNCT
ejpam-6084	363	15	)	)	PUNCT
ejpam-6084	364	1	+	+	CCONJ
ejpam-6084	364	2	·	·	PUNCT
ejpam-6084	364	3	·	·	PUNCT
ejpam-6084	364	4	·	·	PUNCT
ejpam-6084	364	5	+	+	NOUN
ejpam-6084	364	6	qn(u	qn(u	NOUN
ejpam-6084	364	7	,	,	PUNCT
ejpam-6084	364	8	u	u	NOUN
ejpam-6084	364	9	,	,	PUNCT
ejpam-6084	364	10	.	.	PUNCT
ejpam-6084	364	11	.	.	PUNCT
ejpam-6084	364	12	.	.	PUNCT
ejpam-6084	365	1	,	,	PUNCT
ejpam-6084	365	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	365	3	−	−	PROPN
ejpam-6084	365	4	α2	α2	ADV
ejpam-6084	365	5	)	)	PUNCT
ejpam-6084	365	6	,	,	PUNCT
ejpam-6084	365	7	(	(	PUNCT
ejpam-6084	365	8	b11	b11	NOUN
ejpam-6084	365	9	+	+	NOUN
ejpam-6084	365	10	b12	b12	NOUN
ejpam-6084	365	11	+	+	NOUN
ejpam-6084	365	12	b21	b21	NOUN
ejpam-6084	365	13	)	)	PUNCT
ejpam-6084	365	14	)	)	PUNCT
ejpam-6084	366	1	+	+	NOUN
ejpam-6084	366	2	qn(u	qn(u	NOUN
ejpam-6084	366	3	,	,	PUNCT
ejpam-6084	366	4	u	u	NOUN
ejpam-6084	366	5	,	,	PUNCT
ejpam-6084	366	6	.	.	PUNCT
ejpam-6084	366	7	.	.	PUNCT
ejpam-6084	366	8	.	.	PUNCT
ejpam-6084	367	1	,	,	PUNCT
ejpam-6084	367	2	(	(	PUNCT
ejpam-6084	367	3	α1	α1	PROPN
ejpam-6084	367	4	−	−	PROPN
ejpam-6084	367	5	α2),ψ(b11	α2),ψ(b11	NUM
ejpam-6084	367	6	)	)	PUNCT
ejpam-6084	367	7	+	+	CCONJ
ejpam-6084	367	8	ψ(b12	ψ(b12	NOUN
ejpam-6084	367	9	)	)	PUNCT
ejpam-6084	367	10	+	+	NUM
ejpam-6084	367	11	ψ(b21	ψ(b21	NOUN
ejpam-6084	367	12	)	)	PUNCT
ejpam-6084	367	13	)	)	PUNCT
ejpam-6084	367	14	.	.	PUNCT
ejpam-6084	368	1	however	however	ADV
ejpam-6084	368	2	,	,	PUNCT
ejpam-6084	368	3	we	we	PRON
ejpam-6084	368	4	also	also	ADV
ejpam-6084	368	5	have	have	VERB
ejpam-6084	368	6	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	368	7	,	,	PUNCT
ejpam-6084	368	8	u	u	NOUN
ejpam-6084	368	9	,	,	PUNCT
ejpam-6084	368	10	.	.	PUNCT
ejpam-6084	368	11	.	.	PUNCT
ejpam-6084	368	12	.	.	PUNCT
ejpam-6084	369	1	,	,	PUNCT
ejpam-6084	369	2	(	(	PUNCT
ejpam-6084	369	3	α1	α1	PROPN
ejpam-6084	369	4	−	−	PROPN
ejpam-6084	369	5	α2	α2	PROPN
ejpam-6084	369	6	)	)	PUNCT
ejpam-6084	369	7	,	,	PUNCT
ejpam-6084	369	8	b11	b11	PROPN
ejpam-6084	369	9	+	+	NUM
ejpam-6084	369	10	b12	b12	NOUN
ejpam-6084	369	11	+	+	NOUN
ejpam-6084	369	12	b21	b21	NOUN
ejpam-6084	369	13	)	)	PUNCT
ejpam-6084	369	14	)	)	PUNCT
ejpam-6084	370	1	=	=	SYM
ejpam-6084	370	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	370	3	)	)	PUNCT
ejpam-6084	370	4	,	,	PUNCT
ejpam-6084	370	5	u	u	NOUN
ejpam-6084	370	6	,	,	PUNCT
ejpam-6084	370	7	.	.	PUNCT
ejpam-6084	370	8	.	.	PUNCT
ejpam-6084	370	9	.	.	PUNCT
ejpam-6084	371	1	,	,	PUNCT
ejpam-6084	371	2	(	(	PUNCT
ejpam-6084	371	3	α1	α1	PROPN
ejpam-6084	371	4	−	−	PROPN
ejpam-6084	371	5	α2	α2	PROPN
ejpam-6084	371	6	)	)	PUNCT
ejpam-6084	371	7	,	,	PUNCT
ejpam-6084	371	8	(	(	PUNCT
ejpam-6084	371	9	b11	b11	NOUN
ejpam-6084	371	10	+	+	NOUN
ejpam-6084	371	11	b12	b12	NOUN
ejpam-6084	371	12	+	+	NOUN
ejpam-6084	371	13	b21	b21	NOUN
ejpam-6084	371	14	)	)	PUNCT
ejpam-6084	371	15	)	)	PUNCT
ejpam-6084	372	1	+	+	NOUN
ejpam-6084	372	2	qn(u	qn(u	NOUN
ejpam-6084	372	3	,	,	PUNCT
ejpam-6084	372	4	ψ(u	ψ(u	PROPN
ejpam-6084	372	5	)	)	PUNCT
ejpam-6084	372	6	,	,	PUNCT
ejpam-6084	372	7	.	.	PUNCT
ejpam-6084	372	8	.	.	PUNCT
ejpam-6084	373	1	.	.	PUNCT
ejpam-6084	374	1	,	,	PUNCT
ejpam-6084	374	2	(	(	PUNCT
ejpam-6084	374	3	α1	α1	PROPN
ejpam-6084	374	4	−	−	PROPN
ejpam-6084	374	5	α2	α2	PROPN
ejpam-6084	374	6	)	)	PUNCT
ejpam-6084	374	7	,	,	PUNCT
ejpam-6084	374	8	(	(	PUNCT
ejpam-6084	374	9	b11	b11	NOUN
ejpam-6084	374	10	+	+	CCONJ
ejpam-6084	374	11	b12	b12	NOUN
ejpam-6084	374	12	+	+	NOUN
ejpam-6084	374	13	b21	b21	NOUN
ejpam-6084	374	14	)	)	PUNCT
ejpam-6084	374	15	)	)	PUNCT
ejpam-6084	375	1	+	+	CCONJ
ejpam-6084	375	2	·	·	PUNCT
ejpam-6084	375	3	·	·	PUNCT
ejpam-6084	375	4	·	·	PUNCT
ejpam-6084	375	5	+	+	NOUN
ejpam-6084	375	6	qn(u	qn(u	NOUN
ejpam-6084	375	7	,	,	PUNCT
ejpam-6084	375	8	u	u	NOUN
ejpam-6084	375	9	,	,	PUNCT
ejpam-6084	375	10	.	.	PUNCT
ejpam-6084	375	11	.	.	PUNCT
ejpam-6084	375	12	.	.	PUNCT
ejpam-6084	376	1	,	,	PUNCT
ejpam-6084	376	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	376	3	−	−	PROPN
ejpam-6084	376	4	α2	α2	ADV
ejpam-6084	376	5	)	)	PUNCT
ejpam-6084	376	6	,	,	PUNCT
ejpam-6084	376	7	(	(	PUNCT
ejpam-6084	376	8	b11	b11	NOUN
ejpam-6084	376	9	+	+	NOUN
ejpam-6084	376	10	b12	b12	NOUN
ejpam-6084	376	11	+	+	NOUN
ejpam-6084	376	12	b21	b21	NOUN
ejpam-6084	376	13	)	)	PUNCT
ejpam-6084	376	14	)	)	PUNCT
ejpam-6084	377	1	+	+	NOUN
ejpam-6084	377	2	qn(u	qn(u	NOUN
ejpam-6084	377	3	,	,	PUNCT
ejpam-6084	377	4	u	u	NOUN
ejpam-6084	377	5	,	,	PUNCT
ejpam-6084	377	6	.	.	PUNCT
ejpam-6084	377	7	.	.	PUNCT
ejpam-6084	377	8	.	.	PUNCT
ejpam-6084	378	1	,	,	PUNCT
ejpam-6084	378	2	(	(	PUNCT
ejpam-6084	378	3	α1	α1	PROPN
ejpam-6084	378	4	−	−	PROPN
ejpam-6084	378	5	α2),ψ(b11	α2),ψ(b11	PRON
ejpam-6084	379	1	+	+	ADJ
ejpam-6084	379	2	b12	b12	NOUN
ejpam-6084	379	3	+	+	NOUN
ejpam-6084	379	4	b21	b21	NOUN
ejpam-6084	379	5	)	)	PUNCT
ejpam-6084	379	6	)	)	PUNCT
ejpam-6084	379	7	.	.	PUNCT
ejpam-6084	380	1	examine	examine	VERB
ejpam-6084	380	2	the	the	DET
ejpam-6084	380	3	two	two	NUM
ejpam-6084	380	4	relations	relation	NOUN
ejpam-6084	380	5	for	for	ADP
ejpam-6084	380	6	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	380	7	,	,	PUNCT
ejpam-6084	380	8	u	u	NOUN
ejpam-6084	380	9	,	,	PUNCT
ejpam-6084	380	10	.	.	PUNCT
ejpam-6084	380	11	.	.	PUNCT
ejpam-6084	381	1	.	.	PUNCT
ejpam-6084	382	1	,	,	PUNCT
ejpam-6084	382	2	(	(	PUNCT
ejpam-6084	382	3	α1	α1	PROPN
ejpam-6084	382	4	−	−	PROPN
ejpam-6084	382	5	α2	α2	PROPN
ejpam-6084	382	6	)	)	PUNCT
ejpam-6084	382	7	,	,	PUNCT
ejpam-6084	382	8	b11	b11	PROPN
ejpam-6084	382	9	+	+	NUM
ejpam-6084	382	10	b12	b12	NOUN
ejpam-6084	382	11	+	+	NOUN
ejpam-6084	382	12	b21	b21	NOUN
ejpam-6084	382	13	)	)	PUNCT
ejpam-6084	382	14	)	)	PUNCT
ejpam-6084	382	15	to	to	PART
ejpam-6084	382	16	have	have	VERB
ejpam-6084	382	17	qn(u	qn(u	NOUN
ejpam-6084	382	18	,	,	PUNCT
ejpam-6084	382	19	u	u	NOUN
ejpam-6084	382	20	,	,	PUNCT
ejpam-6084	382	21	.	.	PUNCT
ejpam-6084	382	22	.	.	PUNCT
ejpam-6084	382	23	.	.	PUNCT
ejpam-6084	383	1	,	,	PUNCT
ejpam-6084	383	2	(	(	PUNCT
ejpam-6084	383	3	α1	α1	PROPN
ejpam-6084	383	4	−	−	PROPN
ejpam-6084	383	5	α2),h	α2),h	NUM
ejpam-6084	383	6	)	)	PUNCT
ejpam-6084	383	7	=	=	SYM
ejpam-6084	383	8	0	0	NUM
ejpam-6084	383	9	that	that	PRON
ejpam-6084	383	10	gives	give	VERB
ejpam-6084	383	11	h11	h11	PROPN
ejpam-6084	383	12	=	=	SYM
ejpam-6084	383	13	0	0	NUM
ejpam-6084	383	14	and	and	CCONJ
ejpam-6084	383	15	h22	h22	X
ejpam-6084	383	16	=	=	SYM
ejpam-6084	383	17	0	0	PROPN
ejpam-6084	383	18	.	.	PUNCT
ejpam-6084	384	1	hence	hence	ADV
ejpam-6084	384	2	h	h	NOUN
ejpam-6084	385	1	=	=	SYM
ejpam-6084	385	2	0	0	PROPN
ejpam-6084	385	3	,	,	PUNCT
ejpam-6084	385	4	that	that	ADV
ejpam-6084	385	5	is	be	AUX
ejpam-6084	385	6	,	,	PUNCT
ejpam-6084	385	7	ψ(b11	ψ(b11	VERB
ejpam-6084	386	1	+	+	CCONJ
ejpam-6084	386	2	b12	b12	NOUN
ejpam-6084	386	3	+	+	ADJ
ejpam-6084	386	4	b21	b21	NOUN
ejpam-6084	386	5	)	)	PUNCT
ejpam-6084	386	6	=	=	SYM
ejpam-6084	386	7	ψ(b11	ψ(b11	NOUN
ejpam-6084	386	8	)	)	PUNCT
ejpam-6084	387	1	+	+	SYM
ejpam-6084	387	2	ψ(b12	ψ(b12	NOUN
ejpam-6084	387	3	)	)	PUNCT
ejpam-6084	388	1	+	+	NUM
ejpam-6084	388	2	ψ(b21	ψ(b21	NOUN
ejpam-6084	388	3	)	)	PUNCT
ejpam-6084	388	4	.	.	PUNCT
ejpam-6084	389	1	similarly	similarly	ADV
ejpam-6084	389	2	,	,	PUNCT
ejpam-6084	389	3	we	we	PRON
ejpam-6084	389	4	can	can	AUX
ejpam-6084	389	5	show	show	VERB
ejpam-6084	389	6	that	that	SCONJ
ejpam-6084	389	7	ψ(b12	ψ(b12	NOUN
ejpam-6084	389	8	+	+	NOUN
ejpam-6084	389	9	b21	b21	PROPN
ejpam-6084	389	10	+	+	PROPN
ejpam-6084	389	11	b22	b22	PROPN
ejpam-6084	389	12	)	)	PUNCT
ejpam-6084	389	13	=	=	SYM
ejpam-6084	389	14	ψ(b12	ψ(b12	NOUN
ejpam-6084	389	15	)	)	PUNCT
ejpam-6084	389	16	+	+	CCONJ
ejpam-6084	389	17	ψ(b21	ψ(b21	NOUN
ejpam-6084	389	18	)	)	PUNCT
ejpam-6084	390	1	+	+	NUM
ejpam-6084	390	2	ψ(b22	ψ(b22	NOUN
ejpam-6084	390	3	)	)	PUNCT
ejpam-6084	390	4	.	.	PUNCT
ejpam-6084	391	1	lemma	lemma	PROPN
ejpam-6084	391	2	4	4	NUM
ejpam-6084	391	3	.	.	X
ejpam-6084	392	1	for	for	ADP
ejpam-6084	392	2	any	any	DET
ejpam-6084	392	3	b11	b11	PROPN
ejpam-6084	392	4	∈	∈	PROPN
ejpam-6084	392	5	b11	b11	PROPN
ejpam-6084	392	6	,	,	PUNCT
ejpam-6084	392	7	b12	b12	NOUN
ejpam-6084	392	8	∈	∈	NOUN
ejpam-6084	392	9	b12	b12	NOUN
ejpam-6084	392	10	,	,	PUNCT
ejpam-6084	392	11	b21	b21	PROPN
ejpam-6084	392	12	∈	∈	PROPN
ejpam-6084	392	13	b21	b21	PROPN
ejpam-6084	392	14	,	,	PUNCT
ejpam-6084	392	15	and	and	CCONJ
ejpam-6084	392	16	b22	b22	PROPN
ejpam-6084	392	17	∈	∈	PROPN
ejpam-6084	392	18	b22	b22	PROPN
ejpam-6084	392	19	,	,	PUNCT
ejpam-6084	392	20	we	we	PRON
ejpam-6084	392	21	have	have	VERB
ejpam-6084	392	22	ψ(b11	ψ(b11	ADJ
ejpam-6084	392	23	+	+	ADV
ejpam-6084	392	24	b12	b12	ADJ
ejpam-6084	392	25	+	+	ADJ
ejpam-6084	392	26	b21	b21	PROPN
ejpam-6084	392	27	+	+	SYM
ejpam-6084	392	28	b22	b22	PROPN
ejpam-6084	392	29	)	)	PUNCT
ejpam-6084	392	30	=	=	SYM
ejpam-6084	392	31	ψ(b11	ψ(b11	NOUN
ejpam-6084	392	32	)	)	PUNCT
ejpam-6084	392	33	+	+	SYM
ejpam-6084	392	34	ψ(b12	ψ(b12	NOUN
ejpam-6084	392	35	)	)	PUNCT
ejpam-6084	393	1	+	+	CCONJ
ejpam-6084	393	2	ψ(b21	ψ(b21	NOUN
ejpam-6084	393	3	)	)	PUNCT
ejpam-6084	394	1	+	+	NUM
ejpam-6084	394	2	ψ(b22	ψ(b22	NOUN
ejpam-6084	394	3	)	)	PUNCT
ejpam-6084	394	4	.	.	PUNCT
ejpam-6084	395	1	proof	proof	NOUN
ejpam-6084	395	2	.	.	PUNCT
ejpam-6084	396	1	let	let	VERB
ejpam-6084	396	2	h	h	NOUN
ejpam-6084	396	3	=	=	PRON
ejpam-6084	396	4	ψ(b11	ψ(b11	X
ejpam-6084	396	5	+	+	CCONJ
ejpam-6084	396	6	b12	b12	NOUN
ejpam-6084	396	7	+	+	CCONJ
ejpam-6084	396	8	b21	b21	PROPN
ejpam-6084	396	9	+	+	CCONJ
ejpam-6084	396	10	b22	b22	PROPN
ejpam-6084	396	11	)	)	PUNCT
ejpam-6084	396	12	−	−	NOUN
ejpam-6084	396	13	ψ(b11	ψ(b11	NOUN
ejpam-6084	396	14	)	)	PUNCT
ejpam-6084	396	15	−	−	NOUN
ejpam-6084	396	16	ψ(b12	ψ(b12	NOUN
ejpam-6084	396	17	)	)	PUNCT
ejpam-6084	396	18	−	−	PROPN
ejpam-6084	396	19	ψ(b21	ψ(b21	NOUN
ejpam-6084	396	20	)	)	PUNCT
ejpam-6084	396	21	−	−	PROPN
ejpam-6084	396	22	ψ(b22	ψ(b22	NOUN
ejpam-6084	396	23	)	)	PUNCT
ejpam-6084	396	24	.	.	PUNCT
ejpam-6084	397	1	applying	apply	VERB
ejpam-6084	397	2	qn(u	qn(u	NOUN
ejpam-6084	397	3	,	,	PUNCT
ejpam-6084	397	4	u	u	NOUN
ejpam-6084	397	5	,	,	PUNCT
ejpam-6084	397	6	.	.	PUNCT
ejpam-6084	397	7	.	.	PUNCT
ejpam-6084	398	1	.	.	PUNCT
ejpam-6084	399	1	,	,	PUNCT
ejpam-6084	399	2	α1	α1	PROPN
ejpam-6084	399	3	,	,	PUNCT
ejpam-6084	399	4	b22	b22	PROPN
ejpam-6084	399	5	)	)	PUNCT
ejpam-6084	399	6	=	=	SYM
ejpam-6084	399	7	0	0	NUM
ejpam-6084	400	1	with	with	ADP
ejpam-6084	400	2	the	the	DET
ejpam-6084	400	3	above	above	ADJ
ejpam-6084	400	4	lemmas	lemmas	NOUN
ejpam-6084	400	5	,	,	PUNCT
ejpam-6084	400	6	we	we	PRON
ejpam-6084	400	7	get	get	VERB
ejpam-6084	400	8	the	the	DET
ejpam-6084	400	9	following	follow	VERB
ejpam-6084	400	10	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	400	11	,	,	PUNCT
ejpam-6084	400	12	u	u	NOUN
ejpam-6084	400	13	,	,	PUNCT
ejpam-6084	400	14	.	.	PUNCT
ejpam-6084	400	15	.	.	PUNCT
ejpam-6084	401	1	.	.	PUNCT
ejpam-6084	402	1	,	,	PUNCT
ejpam-6084	402	2	α1	α1	PROPN
ejpam-6084	402	3	,	,	PUNCT
ejpam-6084	402	4	(	(	PUNCT
ejpam-6084	402	5	b11	b11	NOUN
ejpam-6084	402	6	+	+	NOUN
ejpam-6084	402	7	b12	b12	NOUN
ejpam-6084	402	8	+	+	SYM
ejpam-6084	402	9	b21	b21	PROPN
ejpam-6084	402	10	+	+	PROPN
ejpam-6084	402	11	b22	b22	PROPN
ejpam-6084	402	12	)	)	PUNCT
ejpam-6084	402	13	)	)	PUNCT
ejpam-6084	402	14	)	)	PUNCT
ejpam-6084	403	1	=	=	PUNCT
ejpam-6084	403	2	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	403	3	,	,	PUNCT
ejpam-6084	403	4	u	u	NOUN
ejpam-6084	403	5	,	,	PUNCT
ejpam-6084	403	6	.	.	PUNCT
ejpam-6084	403	7	.	.	PUNCT
ejpam-6084	403	8	.	.	PUNCT
ejpam-6084	404	1	,	,	PUNCT
ejpam-6084	404	2	α1	α1	PROPN
ejpam-6084	404	3	,	,	PUNCT
ejpam-6084	404	4	(	(	PUNCT
ejpam-6084	404	5	b11	b11	NOUN
ejpam-6084	404	6	+	+	NOUN
ejpam-6084	404	7	b12	b12	NOUN
ejpam-6084	404	8	+	+	NOUN
ejpam-6084	404	9	b21	b21	NOUN
ejpam-6084	404	10	)	)	PUNCT
ejpam-6084	404	11	)	)	PUNCT
ejpam-6084	404	12	)	)	PUNCT
ejpam-6084	405	1	+	+	CCONJ
ejpam-6084	405	2	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	405	3	,	,	PUNCT
ejpam-6084	405	4	u	u	NOUN
ejpam-6084	405	5	,	,	PUNCT
ejpam-6084	405	6	.	.	PUNCT
ejpam-6084	405	7	.	.	PUNCT
ejpam-6084	405	8	.	.	PUNCT
ejpam-6084	406	1	,	,	PUNCT
ejpam-6084	406	2	α1	α1	PROPN
ejpam-6084	406	3	,	,	PUNCT
ejpam-6084	406	4	b22	b22	PROPN
ejpam-6084	406	5	)	)	PUNCT
ejpam-6084	406	6	)	)	PUNCT
ejpam-6084	407	1	=	=	SYM
ejpam-6084	407	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	407	3	)	)	PUNCT
ejpam-6084	407	4	,	,	PUNCT
ejpam-6084	407	5	u	u	NOUN
ejpam-6084	407	6	,	,	PUNCT
ejpam-6084	407	7	.	.	PUNCT
ejpam-6084	407	8	.	.	PUNCT
ejpam-6084	407	9	.	.	PUNCT
ejpam-6084	408	1	,	,	PUNCT
ejpam-6084	408	2	α1	α1	PROPN
ejpam-6084	408	3	,	,	PUNCT
ejpam-6084	408	4	(	(	PUNCT
ejpam-6084	408	5	b11	b11	NOUN
ejpam-6084	408	6	+	+	NOUN
ejpam-6084	408	7	b12	b12	NOUN
ejpam-6084	408	8	+	+	NOUN
ejpam-6084	408	9	b21	b21	NOUN
ejpam-6084	408	10	)	)	PUNCT
ejpam-6084	408	11	)	)	PUNCT
ejpam-6084	409	1	+	+	NOUN
ejpam-6084	409	2	qn(u	qn(u	NOUN
ejpam-6084	409	3	,	,	PUNCT
ejpam-6084	409	4	ψ(u	ψ(u	PROPN
ejpam-6084	409	5	)	)	PUNCT
ejpam-6084	409	6	,	,	PUNCT
ejpam-6084	409	7	.	.	PUNCT
ejpam-6084	409	8	.	.	PUNCT
ejpam-6084	410	1	.	.	PUNCT
ejpam-6084	411	1	,	,	PUNCT
ejpam-6084	411	2	α1	α1	PROPN
ejpam-6084	411	3	,	,	PUNCT
ejpam-6084	411	4	(	(	PUNCT
ejpam-6084	411	5	b11	b11	NOUN
ejpam-6084	411	6	+	+	NOUN
ejpam-6084	411	7	b12	b12	NOUN
ejpam-6084	411	8	+	+	NOUN
ejpam-6084	411	9	b21	b21	NOUN
ejpam-6084	411	10	)	)	PUNCT
ejpam-6084	411	11	)	)	PUNCT
ejpam-6084	412	1	+	+	CCONJ
ejpam-6084	412	2	·	·	PUNCT
ejpam-6084	412	3	·	·	PUNCT
ejpam-6084	412	4	·	·	PUNCT
ejpam-6084	412	5	+	+	NOUN
ejpam-6084	412	6	qn(u	qn(u	NOUN
ejpam-6084	412	7	,	,	PUNCT
ejpam-6084	412	8	u	u	NOUN
ejpam-6084	412	9	,	,	PUNCT
ejpam-6084	412	10	.	.	PUNCT
ejpam-6084	412	11	.	.	PUNCT
ejpam-6084	412	12	.	.	PUNCT
ejpam-6084	413	1	,	,	PUNCT
ejpam-6084	413	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	413	3	)	)	PUNCT
ejpam-6084	413	4	,	,	PUNCT
ejpam-6084	413	5	(	(	PUNCT
ejpam-6084	413	6	b11	b11	NOUN
ejpam-6084	413	7	+	+	NOUN
ejpam-6084	413	8	b12	b12	NOUN
ejpam-6084	413	9	+	+	NOUN
ejpam-6084	413	10	b21	b21	NOUN
ejpam-6084	413	11	)	)	PUNCT
ejpam-6084	413	12	)	)	PUNCT
ejpam-6084	414	1	+	+	NOUN
ejpam-6084	414	2	qn(u	qn(u	NOUN
ejpam-6084	414	3	,	,	PUNCT
ejpam-6084	414	4	u	u	NOUN
ejpam-6084	414	5	,	,	PUNCT
ejpam-6084	414	6	.	.	PUNCT
ejpam-6084	414	7	.	.	PUNCT
ejpam-6084	415	1	.	.	PUNCT
ejpam-6084	416	1	,	,	PUNCT
ejpam-6084	416	2	α1	α1	PROPN
ejpam-6084	416	3	,	,	PUNCT
ejpam-6084	416	4	(	(	PUNCT
ejpam-6084	416	5	ψ(b11	ψ(b11	NOUN
ejpam-6084	416	6	)	)	PUNCT
ejpam-6084	416	7	+	+	SYM
ejpam-6084	416	8	ψ(b12	ψ(b12	NOUN
ejpam-6084	416	9	)	)	PUNCT
ejpam-6084	417	1	+	+	CCONJ
ejpam-6084	417	2	ψ(b21	ψ(b21	NOUN
ejpam-6084	417	3	)	)	PUNCT
ejpam-6084	417	4	)	)	PUNCT
ejpam-6084	417	5	)	)	PUNCT
ejpam-6084	418	1	+	+	PUNCT
ejpam-6084	418	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	418	3	)	)	PUNCT
ejpam-6084	418	4	,	,	PUNCT
ejpam-6084	418	5	u	u	NOUN
ejpam-6084	418	6	,	,	PUNCT
ejpam-6084	418	7	.	.	PUNCT
ejpam-6084	418	8	.	.	PUNCT
ejpam-6084	418	9	.	.	PUNCT
ejpam-6084	419	1	,	,	PUNCT
ejpam-6084	419	2	α1	α1	PROPN
ejpam-6084	419	3	,	,	PUNCT
ejpam-6084	419	4	b22	b22	PROPN
ejpam-6084	419	5	)	)	PUNCT
ejpam-6084	419	6	+	+	PROPN
ejpam-6084	419	7	qn(u	qn(u	NOUN
ejpam-6084	419	8	,	,	PUNCT
ejpam-6084	419	9	ψ(u	ψ(u	PROPN
ejpam-6084	419	10	)	)	PUNCT
ejpam-6084	419	11	,	,	PUNCT
ejpam-6084	419	12	.	.	PUNCT
ejpam-6084	419	13	.	.	PUNCT
ejpam-6084	420	1	.	.	PUNCT
ejpam-6084	421	1	,	,	PUNCT
ejpam-6084	421	2	α1	α1	PROPN
ejpam-6084	421	3	,	,	PUNCT
ejpam-6084	421	4	b22	b22	PROPN
ejpam-6084	421	5	)	)	PUNCT
ejpam-6084	421	6	+	+	CCONJ
ejpam-6084	421	7	·	·	PUNCT
ejpam-6084	421	8	·	·	PUNCT
ejpam-6084	421	9	·	·	PUNCT
ejpam-6084	422	1	+	+	NOUN
ejpam-6084	422	2	qn(u	qn(u	NOUN
ejpam-6084	422	3	,	,	PUNCT
ejpam-6084	422	4	u	u	NOUN
ejpam-6084	422	5	,	,	PUNCT
ejpam-6084	422	6	.	.	PUNCT
ejpam-6084	422	7	.	.	PUNCT
ejpam-6084	423	1	.	.	PUNCT
ejpam-6084	424	1	,	,	PUNCT
ejpam-6084	424	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	424	3	)	)	PUNCT
ejpam-6084	424	4	,	,	PUNCT
ejpam-6084	424	5	b22	b22	PROPN
ejpam-6084	424	6	)	)	PUNCT
ejpam-6084	424	7	+	+	PROPN
ejpam-6084	424	8	qn(u	qn(u	NOUN
ejpam-6084	424	9	,	,	PUNCT
ejpam-6084	424	10	u	u	NOUN
ejpam-6084	424	11	,	,	PUNCT
ejpam-6084	424	12	.	.	PUNCT
ejpam-6084	424	13	.	.	PUNCT
ejpam-6084	425	1	.	.	PUNCT
ejpam-6084	426	1	,	,	PUNCT
ejpam-6084	426	2	α1,ψ(b22	α1,ψ(b22	PROPN
ejpam-6084	426	3	)	)	PUNCT
ejpam-6084	426	4	)	)	PUNCT
ejpam-6084	427	1	=	=	SYM
ejpam-6084	427	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	427	3	)	)	PUNCT
ejpam-6084	427	4	,	,	PUNCT
ejpam-6084	427	5	u	u	NOUN
ejpam-6084	427	6	,	,	PUNCT
ejpam-6084	427	7	.	.	PUNCT
ejpam-6084	427	8	.	.	PUNCT
ejpam-6084	427	9	.	.	PUNCT
ejpam-6084	428	1	,	,	PUNCT
ejpam-6084	428	2	α1	α1	PROPN
ejpam-6084	428	3	,	,	PUNCT
ejpam-6084	428	4	(	(	PUNCT
ejpam-6084	428	5	b11	b11	NOUN
ejpam-6084	428	6	+	+	NOUN
ejpam-6084	428	7	b12	b12	NOUN
ejpam-6084	428	8	+	+	SYM
ejpam-6084	428	9	b21	b21	PROPN
ejpam-6084	428	10	+	+	PROPN
ejpam-6084	428	11	b22	b22	PROPN
ejpam-6084	428	12	)	)	PUNCT
ejpam-6084	428	13	)	)	PUNCT
ejpam-6084	429	1	+	+	NOUN
ejpam-6084	429	2	qn(u	qn(u	NOUN
ejpam-6084	429	3	,	,	PUNCT
ejpam-6084	429	4	ψ(u	ψ(u	PROPN
ejpam-6084	429	5	)	)	PUNCT
ejpam-6084	429	6	,	,	PUNCT
ejpam-6084	429	7	.	.	PUNCT
ejpam-6084	429	8	.	.	PUNCT
ejpam-6084	430	1	.	.	PUNCT
ejpam-6084	431	1	,	,	PUNCT
ejpam-6084	431	2	α1	α1	PROPN
ejpam-6084	431	3	,	,	PUNCT
ejpam-6084	431	4	(	(	PUNCT
ejpam-6084	431	5	b11	b11	NOUN
ejpam-6084	431	6	+	+	NOUN
ejpam-6084	431	7	b12	b12	NOUN
ejpam-6084	431	8	+	+	SYM
ejpam-6084	431	9	b21	b21	PROPN
ejpam-6084	431	10	+	+	PROPN
ejpam-6084	431	11	b22	b22	PROPN
ejpam-6084	431	12	)	)	PUNCT
ejpam-6084	431	13	)	)	PUNCT
ejpam-6084	432	1	+	+	CCONJ
ejpam-6084	432	2	·	·	PUNCT
ejpam-6084	432	3	·	·	PUNCT
ejpam-6084	432	4	·	·	PUNCT
ejpam-6084	432	5	+	+	NOUN
ejpam-6084	432	6	qn(u	qn(u	NOUN
ejpam-6084	432	7	,	,	PUNCT
ejpam-6084	432	8	u	u	NOUN
ejpam-6084	432	9	,	,	PUNCT
ejpam-6084	432	10	.	.	PUNCT
ejpam-6084	432	11	.	.	PUNCT
ejpam-6084	432	12	.	.	PUNCT
ejpam-6084	433	1	,	,	PUNCT
ejpam-6084	433	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	433	3	)	)	PUNCT
ejpam-6084	433	4	,	,	PUNCT
ejpam-6084	433	5	(	(	PUNCT
ejpam-6084	433	6	b11	b11	NOUN
ejpam-6084	433	7	+	+	NOUN
ejpam-6084	433	8	b12	b12	NOUN
ejpam-6084	433	9	+	+	SYM
ejpam-6084	433	10	b21	b21	PROPN
ejpam-6084	433	11	+	+	PROPN
ejpam-6084	433	12	b22	b22	PROPN
ejpam-6084	433	13	)	)	PUNCT
ejpam-6084	433	14	)	)	PUNCT
ejpam-6084	434	1	+	+	NOUN
ejpam-6084	434	2	qn(u	qn(u	NOUN
ejpam-6084	434	3	,	,	PUNCT
ejpam-6084	434	4	u	u	NOUN
ejpam-6084	434	5	,	,	PUNCT
ejpam-6084	434	6	.	.	PUNCT
ejpam-6084	434	7	.	.	PUNCT
ejpam-6084	435	1	.	.	PUNCT
ejpam-6084	436	1	,	,	PUNCT
ejpam-6084	436	2	α1	α1	PROPN
ejpam-6084	436	3	,	,	PUNCT
ejpam-6084	436	4	(	(	PUNCT
ejpam-6084	436	5	ψ(b11	ψ(b11	NOUN
ejpam-6084	436	6	)	)	PUNCT
ejpam-6084	436	7	+	+	SYM
ejpam-6084	436	8	ψ(b12	ψ(b12	NOUN
ejpam-6084	436	9	)	)	PUNCT
ejpam-6084	437	1	+	+	CCONJ
ejpam-6084	437	2	ψ(b21	ψ(b21	NOUN
ejpam-6084	437	3	)	)	PUNCT
ejpam-6084	438	1	+	+	CCONJ
ejpam-6084	438	2	ψ(b22	ψ(b22	NOUN
ejpam-6084	438	3	)	)	PUNCT
ejpam-6084	438	4	)	)	PUNCT
ejpam-6084	438	5	)	)	PUNCT
ejpam-6084	438	6	.	.	PUNCT
ejpam-6084	439	1	on	on	ADP
ejpam-6084	439	2	the	the	DET
ejpam-6084	439	3	other	other	ADJ
ejpam-6084	439	4	hand	hand	NOUN
ejpam-6084	439	5	,	,	PUNCT
ejpam-6084	439	6	we	we	PRON
ejpam-6084	439	7	have	have	VERB
ejpam-6084	439	8	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	439	9	,	,	PUNCT
ejpam-6084	439	10	u	u	NOUN
ejpam-6084	439	11	,	,	PUNCT
ejpam-6084	439	12	.	.	PUNCT
ejpam-6084	439	13	.	.	PUNCT
ejpam-6084	439	14	.	.	PUNCT
ejpam-6084	440	1	,	,	PUNCT
ejpam-6084	440	2	α1	α1	PROPN
ejpam-6084	440	3	,	,	PUNCT
ejpam-6084	440	4	(	(	PUNCT
ejpam-6084	440	5	b11	b11	NOUN
ejpam-6084	440	6	+	+	NOUN
ejpam-6084	440	7	b12	b12	NOUN
ejpam-6084	440	8	+	+	SYM
ejpam-6084	440	9	b21	b21	PROPN
ejpam-6084	440	10	+	+	PROPN
ejpam-6084	440	11	b22	b22	PROPN
ejpam-6084	440	12	)	)	PUNCT
ejpam-6084	440	13	)	)	PUNCT
ejpam-6084	440	14	)	)	PUNCT
ejpam-6084	441	1	=	=	SYM
ejpam-6084	441	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	441	3	)	)	PUNCT
ejpam-6084	441	4	,	,	PUNCT
ejpam-6084	441	5	u	u	NOUN
ejpam-6084	441	6	,	,	PUNCT
ejpam-6084	441	7	.	.	PUNCT
ejpam-6084	441	8	.	.	PUNCT
ejpam-6084	441	9	.	.	PUNCT
ejpam-6084	442	1	,	,	PUNCT
ejpam-6084	442	2	α1	α1	PROPN
ejpam-6084	442	3	,	,	PUNCT
ejpam-6084	442	4	(	(	PUNCT
ejpam-6084	442	5	b11	b11	NOUN
ejpam-6084	442	6	+	+	NOUN
ejpam-6084	442	7	b12	b12	NOUN
ejpam-6084	442	8	+	+	SYM
ejpam-6084	442	9	b21	b21	PROPN
ejpam-6084	442	10	+	+	PROPN
ejpam-6084	442	11	b22	b22	PROPN
ejpam-6084	442	12	)	)	PUNCT
ejpam-6084	442	13	)	)	PUNCT
ejpam-6084	443	1	+	+	NOUN
ejpam-6084	443	2	qn(u	qn(u	NOUN
ejpam-6084	443	3	,	,	PUNCT
ejpam-6084	443	4	ψ(u	ψ(u	PROPN
ejpam-6084	443	5	)	)	PUNCT
ejpam-6084	443	6	,	,	PUNCT
ejpam-6084	443	7	.	.	PUNCT
ejpam-6084	443	8	.	.	PUNCT
ejpam-6084	444	1	.	.	PUNCT
ejpam-6084	445	1	,	,	PUNCT
ejpam-6084	445	2	α1	α1	PROPN
ejpam-6084	445	3	,	,	PUNCT
ejpam-6084	445	4	(	(	PUNCT
ejpam-6084	445	5	b11	b11	NOUN
ejpam-6084	445	6	+	+	NOUN
ejpam-6084	445	7	b12	b12	PROPN
ejpam-6084	445	8	md	md	PROPN
ejpam-6084	445	9	arshad	arshad	PROPN
ejpam-6084	445	10	madni	madni	PROPN
ejpam-6084	445	11	et	et	PROPN
ejpam-6084	445	12	al	al	PROPN
ejpam-6084	445	13	.	.	PUNCT
ejpam-6084	445	14	/	/	SYM
ejpam-6084	445	15	eur	eur	PROPN
ejpam-6084	445	16	.	.	PUNCT
ejpam-6084	446	1	j.	j.	PROPN
ejpam-6084	446	2	pure	pure	PROPN
ejpam-6084	446	3	appl	appl	PROPN
ejpam-6084	446	4	.	.	PROPN
ejpam-6084	446	5	math	math	PROPN
ejpam-6084	446	6	,	,	PUNCT
ejpam-6084	446	7	18	18	NUM
ejpam-6084	446	8	(	(	PUNCT
ejpam-6084	446	9	2	2	NUM
ejpam-6084	446	10	)	)	PUNCT
ejpam-6084	446	11	(	(	PUNCT
ejpam-6084	446	12	2025	2025	NUM
ejpam-6084	446	13	)	)	PUNCT
ejpam-6084	446	14	,	,	PUNCT
ejpam-6084	446	15	6084	6084	NUM
ejpam-6084	446	16	7	7	NUM
ejpam-6084	446	17	of	of	ADP
ejpam-6084	446	18	16	16	NUM
ejpam-6084	446	19	+	+	PROPN
ejpam-6084	446	20	b21	b21	PROPN
ejpam-6084	446	21	+	+	PROPN
ejpam-6084	446	22	b22	b22	PROPN
ejpam-6084	446	23	)	)	PUNCT
ejpam-6084	446	24	)	)	PUNCT
ejpam-6084	447	1	+	+	CCONJ
ejpam-6084	447	2	·	·	PUNCT
ejpam-6084	447	3	·	·	PUNCT
ejpam-6084	447	4	·	·	PUNCT
ejpam-6084	447	5	+	+	NOUN
ejpam-6084	447	6	qn(u	qn(u	NOUN
ejpam-6084	447	7	,	,	PUNCT
ejpam-6084	447	8	u	u	NOUN
ejpam-6084	447	9	,	,	PUNCT
ejpam-6084	447	10	.	.	PUNCT
ejpam-6084	447	11	.	.	PUNCT
ejpam-6084	447	12	.	.	PUNCT
ejpam-6084	448	1	,	,	PUNCT
ejpam-6084	448	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	448	3	)	)	PUNCT
ejpam-6084	448	4	,	,	PUNCT
ejpam-6084	448	5	(	(	PUNCT
ejpam-6084	448	6	b11	b11	NOUN
ejpam-6084	448	7	+	+	NOUN
ejpam-6084	448	8	b12	b12	NOUN
ejpam-6084	448	9	+	+	SYM
ejpam-6084	448	10	b21	b21	PROPN
ejpam-6084	448	11	+	+	PROPN
ejpam-6084	448	12	b22	b22	PROPN
ejpam-6084	448	13	)	)	PUNCT
ejpam-6084	448	14	)	)	PUNCT
ejpam-6084	449	1	+	+	NOUN
ejpam-6084	449	2	qn(u	qn(u	NOUN
ejpam-6084	449	3	,	,	PUNCT
ejpam-6084	449	4	u	u	NOUN
ejpam-6084	449	5	,	,	PUNCT
ejpam-6084	449	6	.	.	PUNCT
ejpam-6084	449	7	.	.	PUNCT
ejpam-6084	450	1	.	.	PUNCT
ejpam-6084	451	1	,	,	PUNCT
ejpam-6084	451	2	α1	α1	PROPN
ejpam-6084	451	3	,	,	PUNCT
ejpam-6084	451	4	(	(	PUNCT
ejpam-6084	451	5	ψ(b11	ψ(b11	X
ejpam-6084	451	6	+	+	CCONJ
ejpam-6084	451	7	b12	b12	NOUN
ejpam-6084	451	8	+	+	ADJ
ejpam-6084	451	9	b21	b21	PROPN
ejpam-6084	451	10	+	+	PROPN
ejpam-6084	451	11	b22	b22	PROPN
ejpam-6084	451	12	)	)	PUNCT
ejpam-6084	451	13	)	)	PUNCT
ejpam-6084	451	14	)	)	PUNCT
ejpam-6084	451	15	.	.	PUNCT
ejpam-6084	452	1	similarly	similarly	ADV
ejpam-6084	452	2	,	,	PUNCT
ejpam-6084	452	3	for	for	ADP
ejpam-6084	452	4	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	452	5	,	,	PUNCT
ejpam-6084	452	6	u	u	NOUN
ejpam-6084	452	7	,	,	PUNCT
ejpam-6084	452	8	.	.	PUNCT
ejpam-6084	452	9	.	.	PUNCT
ejpam-6084	452	10	.	.	PUNCT
ejpam-6084	453	1	,	,	PUNCT
ejpam-6084	453	2	α1	α1	PROPN
ejpam-6084	453	3	,	,	PUNCT
ejpam-6084	453	4	(	(	PUNCT
ejpam-6084	453	5	b11+b12+b21+b22	b11+b12+b21+b22	PROPN
ejpam-6084	453	6	)	)	PUNCT
ejpam-6084	453	7	)	)	PUNCT
ejpam-6084	453	8	)	)	PUNCT
ejpam-6084	453	9	,	,	PUNCT
ejpam-6084	453	10	we	we	PRON
ejpam-6084	453	11	get	get	VERB
ejpam-6084	453	12	qn(u	qn(u	NOUN
ejpam-6084	453	13	,	,	PUNCT
ejpam-6084	453	14	u	u	NOUN
ejpam-6084	453	15	,	,	PUNCT
ejpam-6084	453	16	.	.	PUNCT
ejpam-6084	453	17	.	.	PUNCT
ejpam-6084	454	1	.	.	PUNCT
ejpam-6084	455	1	,	,	PUNCT
ejpam-6084	455	2	α1,h	α1,h	X
ejpam-6084	455	3	)	)	PUNCT
ejpam-6084	455	4	=	=	SYM
ejpam-6084	455	5	0	0	NUM
ejpam-6084	456	1	this	this	PRON
ejpam-6084	456	2	leads	lead	VERB
ejpam-6084	456	3	to	to	ADP
ejpam-6084	456	4	the	the	DET
ejpam-6084	456	5	conclusion	conclusion	NOUN
ejpam-6084	456	6	that	that	SCONJ
ejpam-6084	456	7	h11	h11	NOUN
ejpam-6084	456	8	=	=	NOUN
ejpam-6084	456	9	h12	h12	NOUN
ejpam-6084	456	10	=	=	PUNCT
ejpam-6084	456	11	h21	h21	NOUN
ejpam-6084	456	12	=	=	NOUN
ejpam-6084	456	13	0	0	PROPN
ejpam-6084	456	14	.	.	PUNCT
ejpam-6084	457	1	similarly	similarly	ADV
ejpam-6084	457	2	,	,	PUNCT
ejpam-6084	457	3	we	we	PRON
ejpam-6084	457	4	can	can	AUX
ejpam-6084	457	5	show	show	VERB
ejpam-6084	457	6	that	that	SCONJ
ejpam-6084	457	7	h22	h22	PROPN
ejpam-6084	457	8	=	=	SYM
ejpam-6084	457	9	0	0	NUM
ejpam-6084	457	10	.	.	PUNCT
ejpam-6084	458	1	thus	thus	ADV
ejpam-6084	458	2	h	h	NOUN
ejpam-6084	458	3	=	=	SYM
ejpam-6084	458	4	0	0	PROPN
ejpam-6084	458	5	,	,	PUNCT
ejpam-6084	458	6	that	that	ADV
ejpam-6084	458	7	is	be	AUX
ejpam-6084	458	8	,	,	PUNCT
ejpam-6084	458	9	ψ(b11	ψ(b11	VERB
ejpam-6084	458	10	+	+	CCONJ
ejpam-6084	458	11	b12	b12	ADJ
ejpam-6084	458	12	+	+	ADJ
ejpam-6084	458	13	b21	b21	PROPN
ejpam-6084	458	14	+	+	SYM
ejpam-6084	458	15	b22	b22	PROPN
ejpam-6084	458	16	)	)	PUNCT
ejpam-6084	458	17	=	=	SYM
ejpam-6084	458	18	ψ(b11	ψ(b11	NOUN
ejpam-6084	458	19	)	)	PUNCT
ejpam-6084	458	20	+	+	SYM
ejpam-6084	458	21	ψ(b12	ψ(b12	NOUN
ejpam-6084	458	22	)	)	PUNCT
ejpam-6084	458	23	+	+	CCONJ
ejpam-6084	458	24	ψ(b21	ψ(b21	NOUN
ejpam-6084	458	25	)	)	PUNCT
ejpam-6084	459	1	+	+	NUM
ejpam-6084	459	2	ψ(b22	ψ(b22	NOUN
ejpam-6084	459	3	)	)	PUNCT
ejpam-6084	459	4	.	.	PUNCT
ejpam-6084	460	1	lemma	lemma	PROPN
ejpam-6084	460	2	5	5	NUM
ejpam-6084	460	3	.	.	PUNCT
ejpam-6084	460	4	for	for	ADP
ejpam-6084	460	5	any	any	DET
ejpam-6084	460	6	b12	b12	NOUN
ejpam-6084	460	7	,	,	PUNCT
ejpam-6084	460	8	b	b	NOUN
ejpam-6084	460	9	′	′	NUM
ejpam-6084	460	10	12	12	NUM
ejpam-6084	460	11	∈	∈	PROPN
ejpam-6084	460	12	b12	b12	NOUN
ejpam-6084	460	13	and	and	CCONJ
ejpam-6084	460	14	b21	b21	PROPN
ejpam-6084	460	15	,	,	PUNCT
ejpam-6084	460	16	b	b	PROPN
ejpam-6084	460	17	′	′	NUM
ejpam-6084	460	18	21	21	NUM
ejpam-6084	460	19	∈	∈	PROPN
ejpam-6084	460	20	b21	b21	NOUN
ejpam-6084	460	21	we	we	PRON
ejpam-6084	460	22	have	have	VERB
ejpam-6084	460	23	ψ(b12	ψ(b12	NOUN
ejpam-6084	461	1	+	+	NOUN
ejpam-6084	461	2	b	b	NOUN
ejpam-6084	461	3	′	′	NUM
ejpam-6084	461	4	12	12	NUM
ejpam-6084	461	5	)	)	PUNCT
ejpam-6084	461	6	=	=	SYM
ejpam-6084	461	7	ψ(b12	ψ(b12	NOUN
ejpam-6084	461	8	)	)	PUNCT
ejpam-6084	462	1	+	+	CCONJ
ejpam-6084	463	1	ψ(b′	ψ(b′	PROPN
ejpam-6084	463	2	12	12	NUM
ejpam-6084	463	3	)	)	PUNCT
ejpam-6084	463	4	and	and	CCONJ
ejpam-6084	463	5	ψ(b21	ψ(b21	NOUN
ejpam-6084	464	1	+	+	PROPN
ejpam-6084	464	2	b	b	NOUN
ejpam-6084	464	3	′	′	NUM
ejpam-6084	464	4	21	21	NUM
ejpam-6084	464	5	)	)	PUNCT
ejpam-6084	464	6	=	=	PUNCT
ejpam-6084	464	7	ψ(b21	ψ(b21	NOUN
ejpam-6084	464	8	)	)	PUNCT
ejpam-6084	465	1	+	+	CCONJ
ejpam-6084	465	2	ψ(b′	ψ(b′	PROPN
ejpam-6084	465	3	21	21	NUM
ejpam-6084	465	4	)	)	PUNCT
ejpam-6084	465	5	.	.	PUNCT
ejpam-6084	466	1	proof	proof	NOUN
ejpam-6084	466	2	.	.	PUNCT
ejpam-6084	467	1	using	use	VERB
ejpam-6084	467	2	the	the	DET
ejpam-6084	467	3	fact	fact	NOUN
ejpam-6084	467	4	that	that	SCONJ
ejpam-6084	467	5	qn	qn	INTJ
ejpam-6084	467	6	(	(	PUNCT
ejpam-6084	467	7	u	u	NOUN
ejpam-6084	467	8	2	2	NUM
ejpam-6084	467	9	,	,	PUNCT
ejpam-6084	467	10	u	u	NOUN
ejpam-6084	467	11	2	2	NUM
ejpam-6084	467	12	,	,	PUNCT
ejpam-6084	467	13	.	.	PUNCT
ejpam-6084	467	14	.	.	PUNCT
ejpam-6084	467	15	.	.	PUNCT
ejpam-6084	468	1	,	,	PUNCT
ejpam-6084	468	2	u	u	NOUN
ejpam-6084	468	3	2	2	NUM
ejpam-6084	468	4	,	,	PUNCT
ejpam-6084	468	5	(	(	PUNCT
ejpam-6084	468	6	α1+b12	α1+b12	NOUN
ejpam-6084	468	7	)	)	PUNCT
ejpam-6084	468	8	,	,	PUNCT
ejpam-6084	468	9	(	(	PUNCT
ejpam-6084	468	10	α2+b	α2+b	NOUN
ejpam-6084	468	11	′	′	NUM
ejpam-6084	468	12	12	12	NUM
ejpam-6084	468	13	)	)	PUNCT
ejpam-6084	468	14	)	)	PUNCT
ejpam-6084	469	1	=	=	PUNCT
ejpam-6084	469	2	b12+b	b12+b	ADV
ejpam-6084	469	3	′	′	NUM
ejpam-6084	469	4	12+b∅	12+b∅	NUM
ejpam-6084	469	5	12	12	NUM
ejpam-6084	469	6	+	+	CCONJ
ejpam-6084	469	7	b	b	NOUN
ejpam-6084	469	8	′	′	NUM
ejpam-6084	469	9	12b	12b	NOUN
ejpam-6084	469	10	∅	∅	VERB
ejpam-6084	469	11	12	12	NUM
ejpam-6084	469	12	and	and	CCONJ
ejpam-6084	469	13	lemma	lemma	PROPN
ejpam-6084	469	14	4	4	NUM
ejpam-6084	469	15	,	,	PUNCT
ejpam-6084	469	16	we	we	PRON
ejpam-6084	469	17	have	have	VERB
ejpam-6084	469	18	ψ(b12	ψ(b12	ADJ
ejpam-6084	470	1	+	+	NOUN
ejpam-6084	470	2	b	b	NOUN
ejpam-6084	470	3	′	′	NUM
ejpam-6084	470	4	12	12	NUM
ejpam-6084	470	5	)	)	PUNCT
ejpam-6084	471	1	+	+	CCONJ
ejpam-6084	471	2	ψ(b∅	ψ(b∅	NOUN
ejpam-6084	471	3	12	12	NUM
ejpam-6084	471	4	)	)	PUNCT
ejpam-6084	472	1	+	+	NUM
ejpam-6084	472	2	ψ(b	ψ(b	PROPN
ejpam-6084	472	3	′	′	NUM
ejpam-6084	472	4	12b	12b	NOUN
ejpam-6084	472	5	∅	∅	ADP
ejpam-6084	472	6	12	12	NUM
ejpam-6084	472	7	)	)	PUNCT
ejpam-6084	472	8	=	=	SYM
ejpam-6084	472	9	ψ	ψ	X
ejpam-6084	472	10	(	(	PUNCT
ejpam-6084	472	11	b12	b12	NOUN
ejpam-6084	472	12	+	+	PROPN
ejpam-6084	472	13	b	b	NOUN
ejpam-6084	472	14	′	′	NOUN
ejpam-6084	472	15	12	12	NUM
ejpam-6084	473	1	+	+	NOUN
ejpam-6084	473	2	b∅	b∅	NUM
ejpam-6084	473	3	12	12	NUM
ejpam-6084	473	4	+	+	SYM
ejpam-6084	473	5	b	b	NOUN
ejpam-6084	473	6	′	′	NUM
ejpam-6084	473	7	12b	12b	NOUN
ejpam-6084	473	8	∅	∅	ADP
ejpam-6084	473	9	12	12	NUM
ejpam-6084	473	10	)	)	PUNCT
ejpam-6084	474	1	=	=	SYM
ejpam-6084	474	2	ψ(qn	ψ(qn	PROPN
ejpam-6084	474	3	(	(	PUNCT
ejpam-6084	474	4	u	u	NOUN
ejpam-6084	474	5	2	2	NUM
ejpam-6084	474	6	,	,	PUNCT
ejpam-6084	474	7	u	u	NOUN
ejpam-6084	474	8	2	2	NUM
ejpam-6084	474	9	,	,	PUNCT
ejpam-6084	474	10	.	.	PUNCT
ejpam-6084	474	11	.	.	PUNCT
ejpam-6084	474	12	.	.	PUNCT
ejpam-6084	475	1	,	,	PUNCT
ejpam-6084	475	2	u	u	NOUN
ejpam-6084	475	3	2	2	NUM
ejpam-6084	475	4	,	,	PUNCT
ejpam-6084	475	5	(	(	PUNCT
ejpam-6084	475	6	α1	α1	PROPN
ejpam-6084	475	7	+	+	NOUN
ejpam-6084	475	8	b12	b12	NOUN
ejpam-6084	475	9	)	)	PUNCT
ejpam-6084	475	10	,	,	PUNCT
ejpam-6084	475	11	(	(	PUNCT
ejpam-6084	475	12	α2	α2	ADJ
ejpam-6084	475	13	+	+	NOUN
ejpam-6084	475	14	b12	b12	NOUN
ejpam-6084	475	15	′	′	NUM
ejpam-6084	475	16	)	)	PUNCT
ejpam-6084	475	17	)	)	PUNCT
ejpam-6084	475	18	)	)	PUNCT
ejpam-6084	476	1	=	=	PRON
ejpam-6084	476	2	qn(ψ	qn(ψ	NOUN
ejpam-6084	476	3	(	(	PUNCT
ejpam-6084	476	4	u	u	NOUN
ejpam-6084	476	5	2	2	NUM
ejpam-6084	476	6	)	)	PUNCT
ejpam-6084	476	7	,	,	PUNCT
ejpam-6084	476	8	u	u	NOUN
ejpam-6084	476	9	2	2	NUM
ejpam-6084	476	10	,	,	PUNCT
ejpam-6084	476	11	.	.	PUNCT
ejpam-6084	476	12	.	.	PUNCT
ejpam-6084	476	13	.	.	PUNCT
ejpam-6084	477	1	,	,	PUNCT
ejpam-6084	477	2	u	u	NOUN
ejpam-6084	477	3	2	2	NUM
ejpam-6084	477	4	,	,	PUNCT
ejpam-6084	477	5	(	(	PUNCT
ejpam-6084	477	6	α1	α1	PROPN
ejpam-6084	477	7	+	+	NOUN
ejpam-6084	477	8	b12	b12	NOUN
ejpam-6084	477	9	)	)	PUNCT
ejpam-6084	477	10	,	,	PUNCT
ejpam-6084	477	11	(	(	PUNCT
ejpam-6084	477	12	α2	α2	ADJ
ejpam-6084	477	13	+	+	PROPN
ejpam-6084	477	14	b	b	NOUN
ejpam-6084	477	15	′	′	NUM
ejpam-6084	477	16	12	12	NUM
ejpam-6084	477	17	)	)	PUNCT
ejpam-6084	477	18	)	)	PUNCT
ejpam-6084	478	1	+	+	X
ejpam-6084	478	2	qn	qn	INTJ
ejpam-6084	478	3	(	(	PUNCT
ejpam-6084	478	4	u	u	NOUN
ejpam-6084	478	5	2	2	NUM
ejpam-6084	478	6	,	,	PUNCT
ejpam-6084	478	7	ψ	ψ	X
ejpam-6084	478	8	(	(	PUNCT
ejpam-6084	478	9	u	u	NOUN
ejpam-6084	478	10	2	2	NUM
ejpam-6084	478	11	)	)	PUNCT
ejpam-6084	478	12	,	,	PUNCT
ejpam-6084	478	13	.	.	PUNCT
ejpam-6084	478	14	.	.	PUNCT
ejpam-6084	479	1	.	.	PUNCT
ejpam-6084	480	1	,	,	PUNCT
ejpam-6084	480	2	u	u	NOUN
ejpam-6084	480	3	2	2	NUM
ejpam-6084	480	4	,	,	PUNCT
ejpam-6084	480	5	(	(	PUNCT
ejpam-6084	480	6	α1	α1	PROPN
ejpam-6084	480	7	+	+	NOUN
ejpam-6084	480	8	b12	b12	NOUN
ejpam-6084	480	9	)	)	PUNCT
ejpam-6084	480	10	,	,	PUNCT
ejpam-6084	480	11	(	(	PUNCT
ejpam-6084	480	12	α2	α2	ADJ
ejpam-6084	480	13	+	+	PROPN
ejpam-6084	480	14	b	b	NOUN
ejpam-6084	480	15	′	′	NUM
ejpam-6084	480	16	12	12	NUM
ejpam-6084	480	17	)	)	PUNCT
ejpam-6084	480	18	)	)	PUNCT
ejpam-6084	481	1	+	+	CCONJ
ejpam-6084	482	1	·	·	PUNCT
ejpam-6084	482	2	·	·	PUNCT
ejpam-6084	482	3	·	·	PUNCT
ejpam-6084	482	4	+	+	NOUN
ejpam-6084	482	5	qn	qn	ADJ
ejpam-6084	482	6	(	(	PUNCT
ejpam-6084	482	7	u	u	NOUN
ejpam-6084	482	8	2	2	NUM
ejpam-6084	482	9	,	,	PUNCT
ejpam-6084	482	10	u	u	NOUN
ejpam-6084	482	11	2	2	NUM
ejpam-6084	482	12	,	,	PUNCT
ejpam-6084	482	13	.	.	PUNCT
ejpam-6084	482	14	.	.	PUNCT
ejpam-6084	483	1	.	.	PUNCT
ejpam-6084	484	1	,	,	PUNCT
ejpam-6084	484	2	ψ	ψ	X
ejpam-6084	484	3	(	(	PUNCT
ejpam-6084	484	4	u	u	NOUN
ejpam-6084	484	5	2	2	NUM
ejpam-6084	484	6	)	)	PUNCT
ejpam-6084	484	7	,	,	PUNCT
ejpam-6084	484	8	(	(	PUNCT
ejpam-6084	484	9	α1	α1	PROPN
ejpam-6084	484	10	+	+	NOUN
ejpam-6084	484	11	b12	b12	NOUN
ejpam-6084	484	12	)	)	PUNCT
ejpam-6084	484	13	,	,	PUNCT
ejpam-6084	484	14	(	(	PUNCT
ejpam-6084	484	15	α2	α2	ADJ
ejpam-6084	484	16	+	+	PROPN
ejpam-6084	484	17	b	b	NOUN
ejpam-6084	484	18	′	′	NUM
ejpam-6084	484	19	12	12	NUM
ejpam-6084	484	20	)	)	PUNCT
ejpam-6084	484	21	)	)	PUNCT
ejpam-6084	485	1	+	+	X
ejpam-6084	485	2	qn	qn	INTJ
ejpam-6084	485	3	(	(	PUNCT
ejpam-6084	485	4	u	u	NOUN
ejpam-6084	485	5	2	2	NUM
ejpam-6084	485	6	,	,	PUNCT
ejpam-6084	485	7	u	u	NOUN
ejpam-6084	485	8	2	2	NUM
ejpam-6084	485	9	,	,	PUNCT
ejpam-6084	485	10	.	.	PUNCT
ejpam-6084	485	11	.	.	PUNCT
ejpam-6084	486	1	.	.	PUNCT
ejpam-6084	487	1	,	,	PUNCT
ejpam-6084	487	2	u	u	NOUN
ejpam-6084	487	3	2	2	NUM
ejpam-6084	487	4	,	,	PUNCT
ejpam-6084	487	5	ψ(α1	ψ(α1	NOUN
ejpam-6084	487	6	+	+	NOUN
ejpam-6084	487	7	b12	b12	NOUN
ejpam-6084	487	8	)	)	PUNCT
ejpam-6084	487	9	,	,	PUNCT
ejpam-6084	487	10	(	(	PUNCT
ejpam-6084	487	11	α2	α2	ADJ
ejpam-6084	487	12	+	+	PROPN
ejpam-6084	487	13	b	b	NOUN
ejpam-6084	487	14	′	′	NUM
ejpam-6084	487	15	12	12	NUM
ejpam-6084	487	16	)	)	PUNCT
ejpam-6084	487	17	)	)	PUNCT
ejpam-6084	488	1	+	+	X
ejpam-6084	488	2	qn	qn	INTJ
ejpam-6084	488	3	(	(	PUNCT
ejpam-6084	488	4	u	u	NOUN
ejpam-6084	488	5	2	2	NUM
ejpam-6084	488	6	,	,	PUNCT
ejpam-6084	488	7	u	u	NOUN
ejpam-6084	488	8	2	2	NUM
ejpam-6084	488	9	,	,	PUNCT
ejpam-6084	488	10	.	.	PUNCT
ejpam-6084	488	11	.	.	PUNCT
ejpam-6084	489	1	.	.	PUNCT
ejpam-6084	490	1	,	,	PUNCT
ejpam-6084	490	2	u	u	NOUN
ejpam-6084	490	3	2	2	NUM
ejpam-6084	490	4	,	,	PUNCT
ejpam-6084	490	5	(	(	PUNCT
ejpam-6084	490	6	α1	α1	PROPN
ejpam-6084	490	7	+	+	PROPN
ejpam-6084	490	8	b12),ψ(α2	b12),ψ(α2	PRON
ejpam-6084	490	9	+	+	NOUN
ejpam-6084	490	10	b	b	NOUN
ejpam-6084	490	11	′	′	NUM
ejpam-6084	490	12	12	12	NUM
ejpam-6084	490	13	)	)	PUNCT
ejpam-6084	490	14	)	)	PUNCT
ejpam-6084	491	1	=	=	PUNCT
ejpam-6084	491	2	ψ(qn	ψ(qn	PROPN
ejpam-6084	491	3	(	(	PUNCT
ejpam-6084	491	4	u	u	NOUN
ejpam-6084	491	5	2	2	NUM
ejpam-6084	491	6	,	,	PUNCT
ejpam-6084	491	7	u	u	NOUN
ejpam-6084	491	8	2	2	NUM
ejpam-6084	491	9	,	,	PUNCT
ejpam-6084	491	10	.	.	PUNCT
ejpam-6084	491	11	.	.	PUNCT
ejpam-6084	491	12	.	.	PUNCT
ejpam-6084	492	1	,	,	PUNCT
ejpam-6084	492	2	u	u	NOUN
ejpam-6084	492	3	2	2	NUM
ejpam-6084	492	4	,	,	PUNCT
ejpam-6084	492	5	α1	α1	PROPN
ejpam-6084	492	6	,	,	PUNCT
ejpam-6084	492	7	α2	α2	PROPN
ejpam-6084	492	8	)	)	PUNCT
ejpam-6084	492	9	)	)	PUNCT
ejpam-6084	493	1	+	+	CCONJ
ejpam-6084	493	2	ψ(qn	ψ(qn	PROPN
ejpam-6084	493	3	(	(	PUNCT
ejpam-6084	493	4	u	u	NOUN
ejpam-6084	493	5	2	2	NUM
ejpam-6084	493	6	,	,	PUNCT
ejpam-6084	493	7	u	u	NOUN
ejpam-6084	493	8	2	2	NUM
ejpam-6084	493	9	,	,	PUNCT
ejpam-6084	493	10	.	.	PUNCT
ejpam-6084	493	11	.	.	PUNCT
ejpam-6084	493	12	.	.	PUNCT
ejpam-6084	494	1	,	,	PUNCT
ejpam-6084	494	2	u	u	NOUN
ejpam-6084	494	3	2	2	NUM
ejpam-6084	494	4	,	,	PUNCT
ejpam-6084	494	5	α1	α1	PROPN
ejpam-6084	494	6	,	,	PUNCT
ejpam-6084	494	7	b	b	NOUN
ejpam-6084	494	8	′	′	NOUN
ejpam-6084	494	9	12	12	NUM
ejpam-6084	494	10	)	)	PUNCT
ejpam-6084	494	11	)	)	PUNCT
ejpam-6084	495	1	+	+	CCONJ
ejpam-6084	495	2	ψ(qn	ψ(qn	PROPN
ejpam-6084	495	3	(	(	PUNCT
ejpam-6084	495	4	u	u	NOUN
ejpam-6084	495	5	2	2	NUM
ejpam-6084	495	6	,	,	PUNCT
ejpam-6084	495	7	u	u	NOUN
ejpam-6084	495	8	2	2	NUM
ejpam-6084	495	9	,	,	PUNCT
ejpam-6084	495	10	.	.	PUNCT
ejpam-6084	495	11	.	.	PUNCT
ejpam-6084	495	12	.	.	PUNCT
ejpam-6084	496	1	,	,	PUNCT
ejpam-6084	496	2	u	u	NOUN
ejpam-6084	496	3	2	2	NUM
ejpam-6084	496	4	,	,	PUNCT
ejpam-6084	496	5	b12	b12	NOUN
ejpam-6084	496	6	,	,	PUNCT
ejpam-6084	496	7	α2	α2	PROPN
ejpam-6084	496	8	)	)	PUNCT
ejpam-6084	496	9	)	)	PUNCT
ejpam-6084	497	1	+	+	CCONJ
ejpam-6084	497	2	ψ(qn	ψ(qn	PROPN
ejpam-6084	497	3	(	(	PUNCT
ejpam-6084	497	4	u	u	NOUN
ejpam-6084	497	5	2	2	NUM
ejpam-6084	497	6	,	,	PUNCT
ejpam-6084	497	7	u	u	NOUN
ejpam-6084	497	8	2	2	NUM
ejpam-6084	497	9	,	,	PUNCT
ejpam-6084	497	10	.	.	PUNCT
ejpam-6084	497	11	.	.	PUNCT
ejpam-6084	497	12	.	.	PUNCT
ejpam-6084	498	1	,	,	PUNCT
ejpam-6084	498	2	u	u	NOUN
ejpam-6084	498	3	2	2	NUM
ejpam-6084	498	4	,	,	PUNCT
ejpam-6084	498	5	b12	b12	NOUN
ejpam-6084	498	6	,	,	PUNCT
ejpam-6084	498	7	b	b	NOUN
ejpam-6084	498	8	′	′	NOUN
ejpam-6084	498	9	12	12	NUM
ejpam-6084	498	10	)	)	PUNCT
ejpam-6084	498	11	)	)	PUNCT
ejpam-6084	499	1	=	=	SYM
ejpam-6084	499	2	ψ(b12	ψ(b12	NOUN
ejpam-6084	499	3	)	)	PUNCT
ejpam-6084	500	1	+	+	PUNCT
ejpam-6084	500	2	ψ(b	ψ(b	NOUN
ejpam-6084	500	3	′	′	NUM
ejpam-6084	500	4	12	12	NUM
ejpam-6084	500	5	)	)	PUNCT
ejpam-6084	501	1	+	+	CCONJ
ejpam-6084	501	2	ψ(b∅	ψ(b∅	NOUN
ejpam-6084	501	3	12	12	NUM
ejpam-6084	501	4	)	)	PUNCT
ejpam-6084	502	1	+	+	NUM
ejpam-6084	502	2	ψ(b	ψ(b	PROPN
ejpam-6084	502	3	′	′	NUM
ejpam-6084	502	4	12b	12b	NOUN
ejpam-6084	502	5	∅	∅	ADP
ejpam-6084	502	6	12	12	NUM
ejpam-6084	502	7	)	)	PUNCT
ejpam-6084	502	8	.	.	PUNCT
ejpam-6084	503	1	hence	hence	ADV
ejpam-6084	503	2	ψ(b12	ψ(b12	ADV
ejpam-6084	503	3	+	+	CCONJ
ejpam-6084	503	4	b	b	X
ejpam-6084	503	5	′	′	NUM
ejpam-6084	503	6	12	12	NUM
ejpam-6084	503	7	)	)	PUNCT
ejpam-6084	503	8	=	=	SYM
ejpam-6084	503	9	ψ(b12	ψ(b12	NOUN
ejpam-6084	503	10	)	)	PUNCT
ejpam-6084	504	1	+	+	PUNCT
ejpam-6084	504	2	ψ(b	ψ(b	NOUN
ejpam-6084	504	3	′	′	NUM
ejpam-6084	504	4	12	12	NUM
ejpam-6084	504	5	)	)	PUNCT
ejpam-6084	504	6	for	for	ADP
ejpam-6084	504	7	any	any	DET
ejpam-6084	504	8	b12	b12	NOUN
ejpam-6084	504	9	,	,	PUNCT
ejpam-6084	504	10	b	b	NOUN
ejpam-6084	504	11	′	′	NUM
ejpam-6084	504	12	12	12	NUM
ejpam-6084	504	13	∈	∈	NOUN
ejpam-6084	504	14	b12	b12	NOUN
ejpam-6084	504	15	.	.	PUNCT
ejpam-6084	505	1	the	the	DET
ejpam-6084	505	2	proof	proof	NOUN
ejpam-6084	505	3	for	for	ADP
ejpam-6084	505	4	the	the	DET
ejpam-6084	505	5	other	other	ADJ
ejpam-6084	505	6	part	part	NOUN
ejpam-6084	505	7	follows	follow	VERB
ejpam-6084	505	8	similarly	similarly	ADV
ejpam-6084	505	9	.	.	PUNCT
ejpam-6084	506	1	lemma	lemma	PROPN
ejpam-6084	506	2	6	6	NUM
ejpam-6084	506	3	.	.	PUNCT
ejpam-6084	506	4	for	for	ADP
ejpam-6084	506	5	any	any	DET
ejpam-6084	506	6	bii	bii	NOUN
ejpam-6084	506	7	,	,	PUNCT
ejpam-6084	506	8	b	b	PROPN
ejpam-6084	506	9	′	′	NUM
ejpam-6084	506	10	ii	ii	PROPN
ejpam-6084	506	11	∈	∈	PROPN
ejpam-6084	506	12	bii	bii	PROPN
ejpam-6084	506	13	for	for	ADP
ejpam-6084	506	14	(	(	PUNCT
ejpam-6084	506	15	i	i	NOUN
ejpam-6084	506	16	=	=	NOUN
ejpam-6084	506	17	1	1	NUM
ejpam-6084	506	18	,	,	PUNCT
ejpam-6084	506	19	2	2	NUM
ejpam-6084	506	20	)	)	PUNCT
ejpam-6084	506	21	,	,	PUNCT
ejpam-6084	506	22	we	we	PRON
ejpam-6084	506	23	have	have	VERB
ejpam-6084	506	24	ψ(b11	ψ(b11	NOUN
ejpam-6084	507	1	+	+	NOUN
ejpam-6084	507	2	b	b	NOUN
ejpam-6084	507	3	′	′	NUM
ejpam-6084	507	4	11	11	NUM
ejpam-6084	507	5	)	)	PUNCT
ejpam-6084	507	6	=	=	SYM
ejpam-6084	507	7	ψ(b11	ψ(b11	NOUN
ejpam-6084	507	8	)	)	PUNCT
ejpam-6084	508	1	+	+	PUNCT
ejpam-6084	508	2	ψ(b	ψ(b	NOUN
ejpam-6084	508	3	′	′	NOUN
ejpam-6084	508	4	11	11	NUM
ejpam-6084	508	5	)	)	PUNCT
ejpam-6084	508	6	and	and	CCONJ
ejpam-6084	508	7	ψ(b22	ψ(b22	VERB
ejpam-6084	508	8	+	+	PROPN
ejpam-6084	508	9	b	b	NOUN
ejpam-6084	508	10	′	′	NUM
ejpam-6084	508	11	22	22	NUM
ejpam-6084	508	12	)	)	PUNCT
ejpam-6084	508	13	=	=	SYM
ejpam-6084	508	14	ψ(b22	ψ(b22	NOUN
ejpam-6084	508	15	)	)	PUNCT
ejpam-6084	508	16	+	+	PUNCT
ejpam-6084	508	17	ψ(b	ψ(b	PROPN
ejpam-6084	508	18	′	′	NOUN
ejpam-6084	508	19	22	22	NUM
ejpam-6084	508	20	)	)	PUNCT
ejpam-6084	508	21	.	.	PUNCT
ejpam-6084	509	1	proof	proof	NOUN
ejpam-6084	509	2	.	.	PUNCT
ejpam-6084	510	1	leth	leth	PROPN
ejpam-6084	510	2	=	=	PUNCT
ejpam-6084	510	3	ψ(b11+b	ψ(b11+b	PROPN
ejpam-6084	510	4	′	′	NOUN
ejpam-6084	511	1	11)−ψ(b11)−ψ(b	11)−ψ(b11)−ψ(b	INTJ
ejpam-6084	512	1	′	′	NUM
ejpam-6084	512	2	11	11	NUM
ejpam-6084	512	3	)	)	PUNCT
ejpam-6084	512	4	.	.	PUNCT
ejpam-6084	513	1	using	use	VERB
ejpam-6084	513	2	the	the	DET
ejpam-6084	513	3	fact	fact	NOUN
ejpam-6084	513	4	thatqn(u	thatqn(u	NOUN
ejpam-6084	513	5	,	,	PUNCT
ejpam-6084	513	6	u	u	NOUN
ejpam-6084	513	7	,	,	PUNCT
ejpam-6084	513	8	.	.	PUNCT
ejpam-6084	513	9	.	.	PUNCT
ejpam-6084	514	1	.	.	PUNCT
ejpam-6084	515	1	,	,	PUNCT
ejpam-6084	515	2	u	u	NOUN
ejpam-6084	515	3	,	,	PUNCT
ejpam-6084	515	4	α2	α2	PROPN
ejpam-6084	515	5	,	,	PUNCT
ejpam-6084	515	6	b11	b11	NOUN
ejpam-6084	515	7	)	)	PUNCT
ejpam-6084	515	8	=	=	SYM
ejpam-6084	515	9	qn(u	qn(u	NOUN
ejpam-6084	515	10	,	,	PUNCT
ejpam-6084	515	11	u	u	NOUN
ejpam-6084	515	12	,	,	PUNCT
ejpam-6084	515	13	.	.	PUNCT
ejpam-6084	515	14	.	.	PUNCT
ejpam-6084	515	15	.	.	PUNCT
ejpam-6084	516	1	,	,	PUNCT
ejpam-6084	516	2	u	u	NOUN
ejpam-6084	516	3	,	,	PUNCT
ejpam-6084	516	4	α2	α2	PROPN
ejpam-6084	516	5	,	,	PUNCT
ejpam-6084	516	6	b	b	NOUN
ejpam-6084	516	7	′	′	NUM
ejpam-6084	516	8	11	11	NUM
ejpam-6084	516	9	)	)	PUNCT
ejpam-6084	516	10	=	=	SYM
ejpam-6084	517	1	0	0	X
ejpam-6084	517	2	.	.	PUNCT
ejpam-6084	518	1	lemma	lemma	PROPN
ejpam-6084	518	2	1	1	PROPN
ejpam-6084	518	3	gives	give	VERB
ejpam-6084	518	4	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	518	5	,	,	PUNCT
ejpam-6084	518	6	u	u	NOUN
ejpam-6084	518	7	,	,	PUNCT
ejpam-6084	518	8	.	.	PUNCT
ejpam-6084	518	9	.	.	PUNCT
ejpam-6084	518	10	.	.	PUNCT
ejpam-6084	519	1	,	,	PUNCT
ejpam-6084	519	2	u	u	NOUN
ejpam-6084	519	3	,	,	PUNCT
ejpam-6084	519	4	α2	α2	PROPN
ejpam-6084	519	5	,	,	PUNCT
ejpam-6084	519	6	(	(	PUNCT
ejpam-6084	519	7	b11	b11	PROPN
ejpam-6084	520	1	+	+	PROPN
ejpam-6084	520	2	b	b	NOUN
ejpam-6084	520	3	′	′	NUM
ejpam-6084	520	4	11	11	NUM
ejpam-6084	520	5	)	)	PUNCT
ejpam-6084	520	6	)	)	PUNCT
ejpam-6084	520	7	)	)	PUNCT
ejpam-6084	520	8	.	.	PUNCT
ejpam-6084	521	1	=	=	PUNCT
ejpam-6084	521	2	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	521	3	,	,	PUNCT
ejpam-6084	521	4	u	u	NOUN
ejpam-6084	521	5	,	,	PUNCT
ejpam-6084	521	6	.	.	PUNCT
ejpam-6084	521	7	.	.	PUNCT
ejpam-6084	521	8	.	.	PUNCT
ejpam-6084	521	9	,	,	PUNCT
ejpam-6084	521	10	u	u	NOUN
ejpam-6084	521	11	,	,	PUNCT
ejpam-6084	521	12	α2	α2	PROPN
ejpam-6084	521	13	,	,	PUNCT
ejpam-6084	521	14	b11	b11	NOUN
ejpam-6084	521	15	)	)	PUNCT
ejpam-6084	521	16	)	)	PUNCT
ejpam-6084	522	1	+	+	PUNCT
ejpam-6084	522	2	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	522	3	,	,	PUNCT
ejpam-6084	522	4	u	u	NOUN
ejpam-6084	522	5	,	,	PUNCT
ejpam-6084	522	6	.	.	PUNCT
ejpam-6084	522	7	.	.	PUNCT
ejpam-6084	522	8	.	.	PUNCT
ejpam-6084	523	1	,	,	PUNCT
ejpam-6084	523	2	u	u	NOUN
ejpam-6084	523	3	,	,	PUNCT
ejpam-6084	523	4	α2	α2	PROPN
ejpam-6084	523	5	,	,	PUNCT
ejpam-6084	523	6	b	b	NOUN
ejpam-6084	523	7	′	′	NUM
ejpam-6084	523	8	11	11	NUM
ejpam-6084	523	9	)	)	PUNCT
ejpam-6084	523	10	)	)	PUNCT
ejpam-6084	524	1	md	md	PROPN
ejpam-6084	524	2	arshad	arshad	PROPN
ejpam-6084	524	3	madni	madni	PROPN
ejpam-6084	524	4	et	et	PROPN
ejpam-6084	524	5	al	al	PROPN
ejpam-6084	524	6	.	.	PUNCT
ejpam-6084	524	7	/	/	SYM
ejpam-6084	524	8	eur	eur	PROPN
ejpam-6084	524	9	.	.	PUNCT
ejpam-6084	525	1	j.	j.	PROPN
ejpam-6084	525	2	pure	pure	PROPN
ejpam-6084	525	3	appl	appl	PROPN
ejpam-6084	525	4	.	.	PROPN
ejpam-6084	525	5	math	math	PROPN
ejpam-6084	525	6	,	,	PUNCT
ejpam-6084	525	7	18	18	NUM
ejpam-6084	525	8	(	(	PUNCT
ejpam-6084	525	9	2	2	NUM
ejpam-6084	525	10	)	)	PUNCT
ejpam-6084	525	11	(	(	PUNCT
ejpam-6084	525	12	2025	2025	NUM
ejpam-6084	525	13	)	)	PUNCT
ejpam-6084	525	14	,	,	PUNCT
ejpam-6084	525	15	6084	6084	NUM
ejpam-6084	525	16	8	8	NUM
ejpam-6084	525	17	of	of	ADP
ejpam-6084	525	18	16	16	NUM
ejpam-6084	525	19	=	=	SYM
ejpam-6084	525	20	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	525	21	)	)	PUNCT
ejpam-6084	525	22	,	,	PUNCT
ejpam-6084	525	23	u	u	NOUN
ejpam-6084	525	24	,	,	PUNCT
ejpam-6084	525	25	.	.	PUNCT
ejpam-6084	525	26	.	.	PUNCT
ejpam-6084	526	1	.	.	PUNCT
ejpam-6084	527	1	,	,	PUNCT
ejpam-6084	527	2	u	u	NOUN
ejpam-6084	527	3	,	,	PUNCT
ejpam-6084	527	4	α2	α2	PROPN
ejpam-6084	527	5	,	,	PUNCT
ejpam-6084	527	6	b11	b11	PROPN
ejpam-6084	527	7	)	)	PUNCT
ejpam-6084	528	1	+	+	NOUN
ejpam-6084	528	2	qn(u	qn(u	NOUN
ejpam-6084	528	3	,	,	PUNCT
ejpam-6084	528	4	ψ(u	ψ(u	PROPN
ejpam-6084	528	5	)	)	PUNCT
ejpam-6084	528	6	,	,	PUNCT
ejpam-6084	528	7	.	.	PUNCT
ejpam-6084	528	8	.	.	PUNCT
ejpam-6084	529	1	.	.	PUNCT
ejpam-6084	530	1	,	,	PUNCT
ejpam-6084	530	2	u	u	NOUN
ejpam-6084	530	3	,	,	PUNCT
ejpam-6084	530	4	α2	α2	PROPN
ejpam-6084	530	5	,	,	PUNCT
ejpam-6084	530	6	b11	b11	PROPN
ejpam-6084	530	7	)	)	PUNCT
ejpam-6084	530	8	+	+	CCONJ
ejpam-6084	530	9	·	·	PUNCT
ejpam-6084	530	10	·	·	PUNCT
ejpam-6084	530	11	·	·	PUNCT
ejpam-6084	531	1	+	+	NUM
ejpam-6084	531	2	qn(u	qn(u	NOUN
ejpam-6084	531	3	,	,	PUNCT
ejpam-6084	531	4	u	u	NOUN
ejpam-6084	531	5	,	,	PUNCT
ejpam-6084	531	6	.	.	PUNCT
ejpam-6084	531	7	.	.	PUNCT
ejpam-6084	531	8	.	.	PUNCT
ejpam-6084	532	1	,	,	PUNCT
ejpam-6084	532	2	ψ(u	ψ(u	PROPN
ejpam-6084	532	3	)	)	PUNCT
ejpam-6084	532	4	,	,	PUNCT
ejpam-6084	532	5	α2	α2	PROPN
ejpam-6084	532	6	,	,	PUNCT
ejpam-6084	532	7	b11	b11	PROPN
ejpam-6084	532	8	)	)	PUNCT
ejpam-6084	533	1	+	+	NOUN
ejpam-6084	533	2	qn(u	qn(u	NOUN
ejpam-6084	533	3	,	,	PUNCT
ejpam-6084	533	4	u	u	NOUN
ejpam-6084	533	5	,	,	PUNCT
ejpam-6084	533	6	.	.	PUNCT
ejpam-6084	533	7	.	.	PUNCT
ejpam-6084	534	1	.	.	PUNCT
ejpam-6084	535	1	,	,	PUNCT
ejpam-6084	535	2	u	u	NOUN
ejpam-6084	535	3	,	,	PUNCT
ejpam-6084	535	4	ψ(α2	ψ(α2	NOUN
ejpam-6084	535	5	)	)	PUNCT
ejpam-6084	535	6	,	,	PUNCT
ejpam-6084	535	7	b11	b11	PROPN
ejpam-6084	535	8	)	)	PUNCT
ejpam-6084	536	1	+	+	NOUN
ejpam-6084	536	2	qn(u	qn(u	NOUN
ejpam-6084	536	3	,	,	PUNCT
ejpam-6084	536	4	u	u	NOUN
ejpam-6084	536	5	,	,	PUNCT
ejpam-6084	536	6	.	.	PUNCT
ejpam-6084	536	7	.	.	PUNCT
ejpam-6084	537	1	.	.	PUNCT
ejpam-6084	538	1	,	,	PUNCT
ejpam-6084	538	2	u	u	NOUN
ejpam-6084	538	3	,	,	PUNCT
ejpam-6084	538	4	α2	α2	ADJ
ejpam-6084	538	5	,	,	PUNCT
ejpam-6084	538	6	ψ(b11	ψ(b11	NOUN
ejpam-6084	538	7	)	)	PUNCT
ejpam-6084	538	8	)	)	PUNCT
ejpam-6084	539	1	+	+	PUNCT
ejpam-6084	539	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	539	3	)	)	PUNCT
ejpam-6084	539	4	,	,	PUNCT
ejpam-6084	539	5	u	u	NOUN
ejpam-6084	539	6	,	,	PUNCT
ejpam-6084	539	7	.	.	PUNCT
ejpam-6084	539	8	.	.	PUNCT
ejpam-6084	539	9	.	.	PUNCT
ejpam-6084	540	1	,	,	PUNCT
ejpam-6084	540	2	u	u	NOUN
ejpam-6084	540	3	,	,	PUNCT
ejpam-6084	540	4	α2	α2	PROPN
ejpam-6084	540	5	,	,	PUNCT
ejpam-6084	540	6	b	b	NOUN
ejpam-6084	540	7	′	′	NUM
ejpam-6084	540	8	11	11	NUM
ejpam-6084	540	9	)	)	PUNCT
ejpam-6084	541	1	+	+	NOUN
ejpam-6084	541	2	qn(u	qn(u	NOUN
ejpam-6084	541	3	,	,	PUNCT
ejpam-6084	541	4	ψ(u	ψ(u	PROPN
ejpam-6084	541	5	)	)	PUNCT
ejpam-6084	541	6	,	,	PUNCT
ejpam-6084	541	7	.	.	PUNCT
ejpam-6084	541	8	.	.	PUNCT
ejpam-6084	542	1	.	.	PUNCT
ejpam-6084	543	1	,	,	PUNCT
ejpam-6084	543	2	u	u	NOUN
ejpam-6084	543	3	,	,	PUNCT
ejpam-6084	543	4	α2	α2	PROPN
ejpam-6084	543	5	,	,	PUNCT
ejpam-6084	543	6	b	b	NOUN
ejpam-6084	543	7	′	′	NUM
ejpam-6084	543	8	11	11	NUM
ejpam-6084	543	9	)	)	PUNCT
ejpam-6084	544	1	+	+	CCONJ
ejpam-6084	544	2	·	·	PUNCT
ejpam-6084	544	3	·	·	PUNCT
ejpam-6084	544	4	·	·	PUNCT
ejpam-6084	544	5	+	+	NUM
ejpam-6084	544	6	qn(u	qn(u	NOUN
ejpam-6084	544	7	,	,	PUNCT
ejpam-6084	544	8	u	u	NOUN
ejpam-6084	544	9	,	,	PUNCT
ejpam-6084	544	10	.	.	PUNCT
ejpam-6084	544	11	.	.	PUNCT
ejpam-6084	544	12	.	.	PUNCT
ejpam-6084	545	1	,	,	PUNCT
ejpam-6084	545	2	ψ(u	ψ(u	PROPN
ejpam-6084	545	3	)	)	PUNCT
ejpam-6084	545	4	,	,	PUNCT
ejpam-6084	545	5	α2	α2	PROPN
ejpam-6084	545	6	,	,	PUNCT
ejpam-6084	545	7	b	b	NOUN
ejpam-6084	546	1	′	′	NUM
ejpam-6084	546	2	11	11	NUM
ejpam-6084	546	3	)	)	PUNCT
ejpam-6084	547	1	+	+	NOUN
ejpam-6084	547	2	qn(u	qn(u	NOUN
ejpam-6084	547	3	,	,	PUNCT
ejpam-6084	547	4	u	u	NOUN
ejpam-6084	547	5	,	,	PUNCT
ejpam-6084	547	6	.	.	PUNCT
ejpam-6084	547	7	.	.	PUNCT
ejpam-6084	548	1	.	.	PUNCT
ejpam-6084	549	1	,	,	PUNCT
ejpam-6084	549	2	u	u	NOUN
ejpam-6084	549	3	,	,	PUNCT
ejpam-6084	549	4	ψ(α2	ψ(α2	NOUN
ejpam-6084	549	5	)	)	PUNCT
ejpam-6084	549	6	,	,	PUNCT
ejpam-6084	549	7	b	b	X
ejpam-6084	549	8	′	′	NUM
ejpam-6084	549	9	11	11	NUM
ejpam-6084	549	10	)	)	PUNCT
ejpam-6084	550	1	+	+	NOUN
ejpam-6084	550	2	qn(u	qn(u	NOUN
ejpam-6084	550	3	,	,	PUNCT
ejpam-6084	550	4	u	u	NOUN
ejpam-6084	550	5	,	,	PUNCT
ejpam-6084	550	6	.	.	PUNCT
ejpam-6084	550	7	.	.	PUNCT
ejpam-6084	551	1	.	.	PUNCT
ejpam-6084	552	1	,	,	PUNCT
ejpam-6084	552	2	u	u	NOUN
ejpam-6084	552	3	,	,	PUNCT
ejpam-6084	552	4	α2	α2	PROPN
ejpam-6084	552	5	,	,	PUNCT
ejpam-6084	552	6	ψ(b	ψ(b	PROPN
ejpam-6084	552	7	′	′	NOUN
ejpam-6084	552	8	11	11	NUM
ejpam-6084	552	9	)	)	PUNCT
ejpam-6084	552	10	)	)	PUNCT
ejpam-6084	553	1	=	=	SYM
ejpam-6084	553	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	553	3	)	)	PUNCT
ejpam-6084	553	4	,	,	PUNCT
ejpam-6084	553	5	u	u	NOUN
ejpam-6084	553	6	,	,	PUNCT
ejpam-6084	553	7	.	.	PUNCT
ejpam-6084	553	8	.	.	PUNCT
ejpam-6084	553	9	.	.	PUNCT
ejpam-6084	554	1	,	,	PUNCT
ejpam-6084	554	2	u	u	NOUN
ejpam-6084	554	3	,	,	PUNCT
ejpam-6084	554	4	α2	α2	PROPN
ejpam-6084	554	5	,	,	PUNCT
ejpam-6084	554	6	(	(	PUNCT
ejpam-6084	554	7	b11	b11	PROPN
ejpam-6084	555	1	+	+	PROPN
ejpam-6084	555	2	b	b	NOUN
ejpam-6084	555	3	′	′	NUM
ejpam-6084	555	4	11	11	NUM
ejpam-6084	555	5	)	)	PUNCT
ejpam-6084	555	6	)	)	PUNCT
ejpam-6084	556	1	+	+	ADP
ejpam-6084	556	2	qn(u	qn(u	NOUN
ejpam-6084	556	3	,	,	PUNCT
ejpam-6084	556	4	ψ(u	ψ(u	PROPN
ejpam-6084	556	5	)	)	PUNCT
ejpam-6084	556	6	,	,	PUNCT
ejpam-6084	556	7	.	.	PUNCT
ejpam-6084	556	8	.	.	PUNCT
ejpam-6084	557	1	.	.	PUNCT
ejpam-6084	558	1	,	,	PUNCT
ejpam-6084	558	2	u	u	NOUN
ejpam-6084	558	3	,	,	PUNCT
ejpam-6084	558	4	α2	α2	PROPN
ejpam-6084	558	5	,	,	PUNCT
ejpam-6084	558	6	(	(	PUNCT
ejpam-6084	558	7	b11	b11	PROPN
ejpam-6084	559	1	+	+	PROPN
ejpam-6084	559	2	b	b	NOUN
ejpam-6084	559	3	′	′	NUM
ejpam-6084	559	4	11	11	NUM
ejpam-6084	559	5	)	)	PUNCT
ejpam-6084	559	6	)	)	PUNCT
ejpam-6084	560	1	+	+	CCONJ
ejpam-6084	560	2	·	·	PUNCT
ejpam-6084	560	3	·	·	PUNCT
ejpam-6084	560	4	·	·	PUNCT
ejpam-6084	560	5	+	+	NUM
ejpam-6084	560	6	qn(u	qn(u	NOUN
ejpam-6084	560	7	,	,	PUNCT
ejpam-6084	560	8	u	u	NOUN
ejpam-6084	560	9	,	,	PUNCT
ejpam-6084	560	10	.	.	PUNCT
ejpam-6084	560	11	.	.	PUNCT
ejpam-6084	560	12	.	.	PUNCT
ejpam-6084	561	1	,	,	PUNCT
ejpam-6084	561	2	ψ(u	ψ(u	PROPN
ejpam-6084	561	3	)	)	PUNCT
ejpam-6084	561	4	,	,	PUNCT
ejpam-6084	561	5	α2	α2	PROPN
ejpam-6084	561	6	,	,	PUNCT
ejpam-6084	561	7	(	(	PUNCT
ejpam-6084	561	8	b11	b11	PROPN
ejpam-6084	561	9	+	+	PROPN
ejpam-6084	561	10	b	b	NOUN
ejpam-6084	561	11	′	′	NUM
ejpam-6084	561	12	11	11	NUM
ejpam-6084	561	13	)	)	PUNCT
ejpam-6084	561	14	)	)	PUNCT
ejpam-6084	562	1	+	+	NOUN
ejpam-6084	562	2	qn(u	qn(u	NOUN
ejpam-6084	562	3	,	,	PUNCT
ejpam-6084	562	4	u	u	NOUN
ejpam-6084	562	5	,	,	PUNCT
ejpam-6084	562	6	.	.	PUNCT
ejpam-6084	562	7	.	.	PUNCT
ejpam-6084	563	1	.	.	PUNCT
ejpam-6084	564	1	,	,	PUNCT
ejpam-6084	564	2	u	u	NOUN
ejpam-6084	564	3	,	,	PUNCT
ejpam-6084	564	4	ψ(α2	ψ(α2	NOUN
ejpam-6084	564	5	)	)	PUNCT
ejpam-6084	564	6	,	,	PUNCT
ejpam-6084	564	7	(	(	PUNCT
ejpam-6084	564	8	b11	b11	PROPN
ejpam-6084	564	9	+	+	PROPN
ejpam-6084	564	10	b	b	NOUN
ejpam-6084	564	11	′	′	NUM
ejpam-6084	564	12	11	11	NUM
ejpam-6084	564	13	)	)	PUNCT
ejpam-6084	564	14	)	)	PUNCT
ejpam-6084	565	1	+	+	NOUN
ejpam-6084	565	2	qn(u	qn(u	NOUN
ejpam-6084	565	3	,	,	PUNCT
ejpam-6084	565	4	u	u	NOUN
ejpam-6084	565	5	,	,	PUNCT
ejpam-6084	565	6	.	.	PUNCT
ejpam-6084	565	7	.	.	PUNCT
ejpam-6084	566	1	.	.	PUNCT
ejpam-6084	567	1	,	,	PUNCT
ejpam-6084	567	2	u	u	NOUN
ejpam-6084	567	3	,	,	PUNCT
ejpam-6084	567	4	α2	α2	ADJ
ejpam-6084	567	5	,	,	PUNCT
ejpam-6084	567	6	(	(	PUNCT
ejpam-6084	567	7	ψ(b11	ψ(b11	NOUN
ejpam-6084	567	8	)	)	PUNCT
ejpam-6084	568	1	+	+	NUM
ejpam-6084	568	2	ψ(b	ψ(b	NOUN
ejpam-6084	568	3	′	′	NOUN
ejpam-6084	568	4	11	11	NUM
ejpam-6084	568	5	)	)	PUNCT
ejpam-6084	568	6	)	)	PUNCT
ejpam-6084	568	7	)	)	PUNCT
ejpam-6084	568	8	.	.	PUNCT
ejpam-6084	569	1	alternatively	alternatively	ADV
ejpam-6084	569	2	,	,	PUNCT
ejpam-6084	569	3	we	we	PRON
ejpam-6084	569	4	have	have	VERB
ejpam-6084	569	5	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	569	6	,	,	PUNCT
ejpam-6084	569	7	u	u	NOUN
ejpam-6084	569	8	,	,	PUNCT
ejpam-6084	569	9	.	.	PUNCT
ejpam-6084	569	10	.	.	PUNCT
ejpam-6084	570	1	.	.	PUNCT
ejpam-6084	571	1	,	,	PUNCT
ejpam-6084	571	2	u	u	NOUN
ejpam-6084	571	3	,	,	PUNCT
ejpam-6084	571	4	α2	α2	PROPN
ejpam-6084	571	5	,	,	PUNCT
ejpam-6084	571	6	(	(	PUNCT
ejpam-6084	571	7	b11	b11	PROPN
ejpam-6084	572	1	+	+	PROPN
ejpam-6084	572	2	b	b	NOUN
ejpam-6084	572	3	′	′	NUM
ejpam-6084	572	4	11	11	NUM
ejpam-6084	572	5	)	)	PUNCT
ejpam-6084	572	6	)	)	PUNCT
ejpam-6084	572	7	)	)	PUNCT
ejpam-6084	572	8	.	.	PUNCT
ejpam-6084	573	1	=	=	PUNCT
ejpam-6084	573	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	573	3	)	)	PUNCT
ejpam-6084	573	4	,	,	PUNCT
ejpam-6084	573	5	u	u	NOUN
ejpam-6084	573	6	,	,	PUNCT
ejpam-6084	573	7	.	.	PUNCT
ejpam-6084	573	8	.	.	PUNCT
ejpam-6084	573	9	.	.	PUNCT
ejpam-6084	574	1	,	,	PUNCT
ejpam-6084	574	2	u	u	NOUN
ejpam-6084	574	3	,	,	PUNCT
ejpam-6084	574	4	α2	α2	PROPN
ejpam-6084	574	5	,	,	PUNCT
ejpam-6084	574	6	(	(	PUNCT
ejpam-6084	574	7	b11	b11	PROPN
ejpam-6084	575	1	+	+	PROPN
ejpam-6084	575	2	b	b	NOUN
ejpam-6084	575	3	′	′	NUM
ejpam-6084	575	4	11	11	NUM
ejpam-6084	575	5	)	)	PUNCT
ejpam-6084	575	6	)	)	PUNCT
ejpam-6084	576	1	+	+	ADP
ejpam-6084	576	2	qn(u	qn(u	NOUN
ejpam-6084	576	3	,	,	PUNCT
ejpam-6084	576	4	ψ(u	ψ(u	PROPN
ejpam-6084	576	5	)	)	PUNCT
ejpam-6084	576	6	,	,	PUNCT
ejpam-6084	576	7	.	.	PUNCT
ejpam-6084	576	8	.	.	PUNCT
ejpam-6084	577	1	.	.	PUNCT
ejpam-6084	578	1	,	,	PUNCT
ejpam-6084	578	2	u	u	NOUN
ejpam-6084	578	3	,	,	PUNCT
ejpam-6084	578	4	α2	α2	PROPN
ejpam-6084	578	5	,	,	PUNCT
ejpam-6084	578	6	(	(	PUNCT
ejpam-6084	578	7	b11	b11	PROPN
ejpam-6084	579	1	+	+	PROPN
ejpam-6084	579	2	b	b	NOUN
ejpam-6084	579	3	′	′	NUM
ejpam-6084	579	4	11	11	NUM
ejpam-6084	579	5	)	)	PUNCT
ejpam-6084	579	6	)	)	PUNCT
ejpam-6084	580	1	+	+	CCONJ
ejpam-6084	580	2	·	·	PUNCT
ejpam-6084	580	3	·	·	PUNCT
ejpam-6084	580	4	·	·	PUNCT
ejpam-6084	580	5	+	+	NUM
ejpam-6084	580	6	qn(u	qn(u	NOUN
ejpam-6084	580	7	,	,	PUNCT
ejpam-6084	580	8	u	u	NOUN
ejpam-6084	580	9	,	,	PUNCT
ejpam-6084	580	10	.	.	PUNCT
ejpam-6084	580	11	.	.	PUNCT
ejpam-6084	580	12	.	.	PUNCT
ejpam-6084	581	1	,	,	PUNCT
ejpam-6084	581	2	ψ(u	ψ(u	PROPN
ejpam-6084	581	3	)	)	PUNCT
ejpam-6084	581	4	,	,	PUNCT
ejpam-6084	581	5	α2	α2	PROPN
ejpam-6084	581	6	,	,	PUNCT
ejpam-6084	581	7	(	(	PUNCT
ejpam-6084	581	8	b11	b11	PROPN
ejpam-6084	581	9	+	+	PROPN
ejpam-6084	581	10	b	b	NOUN
ejpam-6084	581	11	′	′	NUM
ejpam-6084	581	12	11	11	NUM
ejpam-6084	581	13	)	)	PUNCT
ejpam-6084	581	14	)	)	PUNCT
ejpam-6084	582	1	+	+	NOUN
ejpam-6084	582	2	qn(u	qn(u	NOUN
ejpam-6084	582	3	,	,	PUNCT
ejpam-6084	582	4	u	u	NOUN
ejpam-6084	582	5	,	,	PUNCT
ejpam-6084	582	6	.	.	PUNCT
ejpam-6084	582	7	.	.	PUNCT
ejpam-6084	583	1	.	.	PUNCT
ejpam-6084	584	1	,	,	PUNCT
ejpam-6084	584	2	u	u	NOUN
ejpam-6084	584	3	,	,	PUNCT
ejpam-6084	584	4	ψ(α2	ψ(α2	NOUN
ejpam-6084	584	5	)	)	PUNCT
ejpam-6084	584	6	,	,	PUNCT
ejpam-6084	584	7	(	(	PUNCT
ejpam-6084	584	8	b11	b11	PROPN
ejpam-6084	584	9	+	+	PROPN
ejpam-6084	584	10	b	b	NOUN
ejpam-6084	584	11	′	′	NUM
ejpam-6084	584	12	11	11	NUM
ejpam-6084	584	13	)	)	PUNCT
ejpam-6084	584	14	)	)	PUNCT
ejpam-6084	585	1	+	+	NOUN
ejpam-6084	585	2	qn(u	qn(u	NOUN
ejpam-6084	585	3	,	,	PUNCT
ejpam-6084	585	4	u	u	NOUN
ejpam-6084	585	5	,	,	PUNCT
ejpam-6084	585	6	.	.	PUNCT
ejpam-6084	585	7	.	.	PUNCT
ejpam-6084	586	1	.	.	PUNCT
ejpam-6084	587	1	,	,	PUNCT
ejpam-6084	587	2	u	u	NOUN
ejpam-6084	587	3	,	,	PUNCT
ejpam-6084	587	4	α2	α2	ADJ
ejpam-6084	587	5	,	,	PUNCT
ejpam-6084	587	6	(	(	PUNCT
ejpam-6084	587	7	ψ(b11	ψ(b11	VERB
ejpam-6084	588	1	+	+	NOUN
ejpam-6084	588	2	b	b	NOUN
ejpam-6084	588	3	′	′	NUM
ejpam-6084	588	4	11	11	NUM
ejpam-6084	588	5	)	)	PUNCT
ejpam-6084	588	6	)	)	PUNCT
ejpam-6084	588	7	)	)	PUNCT
ejpam-6084	588	8	.	.	PUNCT
ejpam-6084	589	1	compare	compare	VERB
ejpam-6084	589	2	the	the	DET
ejpam-6084	589	3	above	above	NOUN
ejpam-6084	589	4	for	for	ADP
ejpam-6084	589	5	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	589	6	,	,	PUNCT
ejpam-6084	589	7	u	u	NOUN
ejpam-6084	589	8	,	,	PUNCT
ejpam-6084	589	9	.	.	PUNCT
ejpam-6084	589	10	.	.	PUNCT
ejpam-6084	590	1	.	.	PUNCT
ejpam-6084	591	1	,	,	PUNCT
ejpam-6084	591	2	u	u	NOUN
ejpam-6084	591	3	,	,	PUNCT
ejpam-6084	591	4	α2	α2	ADJ
ejpam-6084	591	5	,	,	PUNCT
ejpam-6084	591	6	(	(	PUNCT
ejpam-6084	591	7	b11+b	b11+b	PROPN
ejpam-6084	591	8	′	′	NOUN
ejpam-6084	591	9	11	11	NUM
ejpam-6084	591	10	)	)	PUNCT
ejpam-6084	591	11	)	)	PUNCT
ejpam-6084	591	12	)	)	PUNCT
ejpam-6084	591	13	,	,	PUNCT
ejpam-6084	591	14	we	we	PRON
ejpam-6084	591	15	find	find	VERB
ejpam-6084	591	16	that	that	DET
ejpam-6084	591	17	qn(u	qn(u	NOUN
ejpam-6084	591	18	,	,	PUNCT
ejpam-6084	591	19	u	u	NOUN
ejpam-6084	591	20	,	,	PUNCT
ejpam-6084	591	21	.	.	PUNCT
ejpam-6084	591	22	.	.	PUNCT
ejpam-6084	592	1	.	.	PUNCT
ejpam-6084	593	1	,	,	PUNCT
ejpam-6084	593	2	u	u	NOUN
ejpam-6084	593	3	,	,	PUNCT
ejpam-6084	593	4	α2	α2	ADJ
ejpam-6084	593	5	,	,	PUNCT
ejpam-6084	593	6	h	h	NOUN
ejpam-6084	593	7	)	)	PUNCT
ejpam-6084	593	8	=	=	SYM
ejpam-6084	593	9	0	0	NUM
ejpam-6084	593	10	,	,	PUNCT
ejpam-6084	593	11	this	this	PRON
ejpam-6084	593	12	suggests	suggest	VERB
ejpam-6084	593	13	that	that	SCONJ
ejpam-6084	593	14	h12	h12	NOUN
ejpam-6084	593	15	=	=	SYM
ejpam-6084	593	16	h21	h21	NOUN
ejpam-6084	593	17	=	=	NOUN
ejpam-6084	593	18	h22	h22	PROPN
ejpam-6084	593	19	=	=	SYM
ejpam-6084	593	20	0	0	PROPN
ejpam-6084	593	21	.	.	PUNCT
ejpam-6084	594	1	next	next	ADV
ejpam-6084	594	2	,	,	PUNCT
ejpam-6084	594	3	we	we	PRON
ejpam-6084	594	4	show	show	VERB
ejpam-6084	594	5	that	that	SCONJ
ejpam-6084	594	6	h11	h11	NOUN
ejpam-6084	594	7	=	=	NOUN
ejpam-6084	594	8	0	0	X
ejpam-6084	594	9	.	.	PUNCT
ejpam-6084	595	1	let	let	VERB
ejpam-6084	595	2	x12	x12	NUM
ejpam-6084	595	3	∈	∈	PROPN
ejpam-6084	595	4	b12	b12	NOUN
ejpam-6084	596	1	and	and	CCONJ
ejpam-6084	596	2	it	it	PRON
ejpam-6084	596	3	is	be	AUX
ejpam-6084	596	4	straightforward	straightforward	ADJ
ejpam-6084	596	5	to	to	PART
ejpam-6084	596	6	observe	observe	VERB
ejpam-6084	596	7	that	that	DET
ejpam-6084	596	8	qn(u	qn(u	NOUN
ejpam-6084	596	9	,	,	PUNCT
ejpam-6084	596	10	u	u	NOUN
ejpam-6084	596	11	,	,	PUNCT
ejpam-6084	596	12	.	.	PUNCT
ejpam-6084	596	13	.	.	PUNCT
ejpam-6084	597	1	.	.	PUNCT
ejpam-6084	598	1	,	,	PUNCT
ejpam-6084	598	2	α1	α1	PROPN
ejpam-6084	598	3	,	,	PUNCT
ejpam-6084	598	4	b11	b11	PROPN
ejpam-6084	598	5	,	,	PUNCT
ejpam-6084	598	6	x12	x12	NUM
ejpam-6084	598	7	)	)	PUNCT
ejpam-6084	598	8	,	,	PUNCT
ejpam-6084	598	9	qn(u	qn(u	NOUN
ejpam-6084	598	10	,	,	PUNCT
ejpam-6084	598	11	u	u	NOUN
ejpam-6084	598	12	,	,	PUNCT
ejpam-6084	598	13	.	.	PUNCT
ejpam-6084	598	14	.	.	PUNCT
ejpam-6084	599	1	.	.	PUNCT
ejpam-6084	600	1	,	,	PUNCT
ejpam-6084	600	2	α1	α1	PROPN
ejpam-6084	600	3	,	,	PUNCT
ejpam-6084	600	4	b	b	NOUN
ejpam-6084	600	5	′	′	NUM
ejpam-6084	600	6	11	11	NUM
ejpam-6084	600	7	,	,	PUNCT
ejpam-6084	600	8	x12	x12	NUM
ejpam-6084	600	9	)	)	PUNCT
ejpam-6084	600	10	∈	∈	NOUN
ejpam-6084	600	11	b12	b12	NOUN
ejpam-6084	600	12	.	.	PUNCT
ejpam-6084	601	1	hence	hence	ADV
ejpam-6084	601	2	,	,	PUNCT
ejpam-6084	601	3	apply	apply	VERB
ejpam-6084	601	4	lemma	lemma	PROPN
ejpam-6084	601	5	5	5	NUM
ejpam-6084	601	6	to	to	PART
ejpam-6084	601	7	get	get	VERB
ejpam-6084	601	8	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	601	9	,	,	PUNCT
ejpam-6084	601	10	u	u	NOUN
ejpam-6084	601	11	,	,	PUNCT
ejpam-6084	601	12	.	.	PUNCT
ejpam-6084	601	13	.	.	PUNCT
ejpam-6084	601	14	.	.	PUNCT
ejpam-6084	602	1	,	,	PUNCT
ejpam-6084	602	2	α1	α1	PROPN
ejpam-6084	602	3	,	,	PUNCT
ejpam-6084	602	4	(	(	PUNCT
ejpam-6084	602	5	b11	b11	PROPN
ejpam-6084	603	1	+	+	PROPN
ejpam-6084	603	2	b	b	NOUN
ejpam-6084	603	3	′	′	NUM
ejpam-6084	603	4	11	11	NUM
ejpam-6084	603	5	)	)	PUNCT
ejpam-6084	603	6	,	,	PUNCT
ejpam-6084	603	7	x12	x12	NUM
ejpam-6084	603	8	)	)	PUNCT
ejpam-6084	603	9	)	)	PUNCT
ejpam-6084	603	10	.	.	PUNCT
ejpam-6084	604	1	=	=	PUNCT
ejpam-6084	604	2	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	604	3	,	,	PUNCT
ejpam-6084	604	4	u	u	NOUN
ejpam-6084	604	5	,	,	PUNCT
ejpam-6084	604	6	.	.	PUNCT
ejpam-6084	604	7	.	.	PUNCT
ejpam-6084	604	8	.	.	PUNCT
ejpam-6084	605	1	,	,	PUNCT
ejpam-6084	605	2	α1	α1	PROPN
ejpam-6084	605	3	,	,	PUNCT
ejpam-6084	605	4	b11	b11	PROPN
ejpam-6084	605	5	,	,	PUNCT
ejpam-6084	605	6	x12	x12	NUM
ejpam-6084	605	7	)	)	PUNCT
ejpam-6084	605	8	)	)	PUNCT
ejpam-6084	606	1	+	+	CCONJ
ejpam-6084	606	2	ψ(qn(u	ψ(qn(u	PROPN
ejpam-6084	606	3	,	,	PUNCT
ejpam-6084	606	4	u	u	NOUN
ejpam-6084	606	5	,	,	PUNCT
ejpam-6084	606	6	.	.	PUNCT
ejpam-6084	606	7	.	.	PUNCT
ejpam-6084	606	8	.	.	PUNCT
ejpam-6084	607	1	,	,	PUNCT
ejpam-6084	607	2	α1	α1	PROPN
ejpam-6084	607	3	,	,	PUNCT
ejpam-6084	607	4	b	b	NOUN
ejpam-6084	607	5	′	′	NUM
ejpam-6084	607	6	11	11	NUM
ejpam-6084	607	7	,	,	PUNCT
ejpam-6084	607	8	x12	x12	NUM
ejpam-6084	607	9	)	)	PUNCT
ejpam-6084	607	10	)	)	PUNCT
ejpam-6084	608	1	=	=	SYM
ejpam-6084	608	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	608	3	)	)	PUNCT
ejpam-6084	608	4	,	,	PUNCT
ejpam-6084	608	5	u	u	NOUN
ejpam-6084	608	6	,	,	PUNCT
ejpam-6084	608	7	.	.	PUNCT
ejpam-6084	608	8	.	.	PUNCT
ejpam-6084	608	9	.	.	PUNCT
ejpam-6084	609	1	,	,	PUNCT
ejpam-6084	609	2	α1	α1	PROPN
ejpam-6084	609	3	,	,	PUNCT
ejpam-6084	609	4	b11	b11	PROPN
ejpam-6084	609	5	,	,	PUNCT
ejpam-6084	609	6	x12	x12	NUM
ejpam-6084	609	7	)	)	PUNCT
ejpam-6084	610	1	+	+	NOUN
ejpam-6084	610	2	qn(u	qn(u	NOUN
ejpam-6084	610	3	,	,	PUNCT
ejpam-6084	610	4	ψ(u	ψ(u	PROPN
ejpam-6084	610	5	)	)	PUNCT
ejpam-6084	610	6	,	,	PUNCT
ejpam-6084	610	7	.	.	PUNCT
ejpam-6084	610	8	.	.	PUNCT
ejpam-6084	611	1	.	.	PUNCT
ejpam-6084	612	1	,	,	PUNCT
ejpam-6084	612	2	α1	α1	PROPN
ejpam-6084	612	3	,	,	PUNCT
ejpam-6084	612	4	b11	b11	PROPN
ejpam-6084	612	5	,	,	PUNCT
ejpam-6084	612	6	x12	x12	NUM
ejpam-6084	612	7	)	)	PUNCT
ejpam-6084	612	8	+	+	NUM
ejpam-6084	612	9	·	·	PUNCT
ejpam-6084	612	10	·	·	PUNCT
ejpam-6084	612	11	·	·	PUNCT
ejpam-6084	613	1	+	+	NOUN
ejpam-6084	613	2	qn(u	qn(u	NOUN
ejpam-6084	613	3	,	,	PUNCT
ejpam-6084	613	4	u	u	NOUN
ejpam-6084	613	5	,	,	PUNCT
ejpam-6084	613	6	.	.	PUNCT
ejpam-6084	613	7	.	.	PUNCT
ejpam-6084	614	1	.	.	PUNCT
ejpam-6084	615	1	,	,	PUNCT
ejpam-6084	615	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	615	3	)	)	PUNCT
ejpam-6084	615	4	,	,	PUNCT
ejpam-6084	615	5	b11	b11	PROPN
ejpam-6084	615	6	,	,	PUNCT
ejpam-6084	615	7	x12	x12	NUM
ejpam-6084	615	8	)	)	PUNCT
ejpam-6084	615	9	+	+	NOUN
ejpam-6084	615	10	qn(u	qn(u	NOUN
ejpam-6084	615	11	,	,	PUNCT
ejpam-6084	615	12	u	u	NOUN
ejpam-6084	615	13	,	,	PUNCT
ejpam-6084	615	14	.	.	PUNCT
ejpam-6084	615	15	.	.	PUNCT
ejpam-6084	616	1	.	.	PUNCT
ejpam-6084	617	1	,	,	PUNCT
ejpam-6084	617	2	α1,ψ(b11	α1,ψ(b11	PROPN
ejpam-6084	617	3	)	)	PUNCT
ejpam-6084	617	4	,	,	PUNCT
ejpam-6084	617	5	x12	x12	NUM
ejpam-6084	617	6	)	)	PUNCT
ejpam-6084	618	1	+	+	NOUN
ejpam-6084	618	2	qn(u	qn(u	NOUN
ejpam-6084	618	3	,	,	PUNCT
ejpam-6084	618	4	u	u	NOUN
ejpam-6084	618	5	,	,	PUNCT
ejpam-6084	618	6	.	.	PUNCT
ejpam-6084	618	7	.	.	PUNCT
ejpam-6084	619	1	.	.	PUNCT
ejpam-6084	620	1	,	,	PUNCT
ejpam-6084	620	2	α1	α1	PROPN
ejpam-6084	620	3	,	,	PUNCT
ejpam-6084	620	4	b11,ψ(x12	b11,ψ(x12	NOUN
ejpam-6084	620	5	)	)	PUNCT
ejpam-6084	620	6	)	)	PUNCT
ejpam-6084	621	1	+	+	PUNCT
ejpam-6084	621	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	621	3	)	)	PUNCT
ejpam-6084	621	4	,	,	PUNCT
ejpam-6084	621	5	u	u	NOUN
ejpam-6084	621	6	,	,	PUNCT
ejpam-6084	621	7	.	.	PUNCT
ejpam-6084	621	8	.	.	PUNCT
ejpam-6084	621	9	.	.	PUNCT
ejpam-6084	622	1	,	,	PUNCT
ejpam-6084	622	2	α1	α1	PROPN
ejpam-6084	622	3	,	,	PUNCT
ejpam-6084	622	4	b	b	NOUN
ejpam-6084	622	5	′	′	NUM
ejpam-6084	622	6	11	11	NUM
ejpam-6084	622	7	,	,	PUNCT
ejpam-6084	622	8	x12	x12	NUM
ejpam-6084	622	9	)	)	PUNCT
ejpam-6084	623	1	+	+	NOUN
ejpam-6084	623	2	qn(u	qn(u	NOUN
ejpam-6084	623	3	,	,	PUNCT
ejpam-6084	623	4	ψ(u	ψ(u	PROPN
ejpam-6084	623	5	)	)	PUNCT
ejpam-6084	623	6	,	,	PUNCT
ejpam-6084	623	7	.	.	PUNCT
ejpam-6084	623	8	.	.	PUNCT
ejpam-6084	624	1	.	.	PUNCT
ejpam-6084	625	1	,	,	PUNCT
ejpam-6084	625	2	α1	α1	PROPN
ejpam-6084	625	3	,	,	PUNCT
ejpam-6084	625	4	b	b	NOUN
ejpam-6084	625	5	′	′	NUM
ejpam-6084	625	6	11	11	NUM
ejpam-6084	625	7	,	,	PUNCT
ejpam-6084	625	8	x12	x12	NUM
ejpam-6084	625	9	)	)	PUNCT
ejpam-6084	625	10	+	+	NUM
ejpam-6084	625	11	·	·	PUNCT
ejpam-6084	625	12	·	·	PUNCT
ejpam-6084	625	13	·	·	PUNCT
ejpam-6084	626	1	+	+	NOUN
ejpam-6084	626	2	qn(u	qn(u	NOUN
ejpam-6084	626	3	,	,	PUNCT
ejpam-6084	626	4	u	u	NOUN
ejpam-6084	626	5	,	,	PUNCT
ejpam-6084	626	6	.	.	PUNCT
ejpam-6084	626	7	.	.	PUNCT
ejpam-6084	626	8	.	.	PUNCT
ejpam-6084	627	1	,	,	PUNCT
ejpam-6084	627	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	627	3	)	)	PUNCT
ejpam-6084	627	4	,	,	PUNCT
ejpam-6084	627	5	b	b	X
ejpam-6084	628	1	′	′	NUM
ejpam-6084	628	2	11	11	NUM
ejpam-6084	628	3	,	,	PUNCT
ejpam-6084	628	4	x12	x12	NUM
ejpam-6084	628	5	)	)	PUNCT
ejpam-6084	629	1	+	+	NOUN
ejpam-6084	629	2	qn(u	qn(u	NOUN
ejpam-6084	629	3	,	,	PUNCT
ejpam-6084	629	4	u	u	NOUN
ejpam-6084	629	5	,	,	PUNCT
ejpam-6084	629	6	.	.	PUNCT
ejpam-6084	629	7	.	.	PUNCT
ejpam-6084	630	1	.	.	PUNCT
ejpam-6084	631	1	,	,	PUNCT
ejpam-6084	631	2	α1,ψ(b	α1,ψ(b	VERB
ejpam-6084	631	3	′	′	NUM
ejpam-6084	631	4	11	11	NUM
ejpam-6084	631	5	)	)	PUNCT
ejpam-6084	631	6	,	,	PUNCT
ejpam-6084	631	7	x12	x12	NUM
ejpam-6084	631	8	)	)	PUNCT
ejpam-6084	632	1	+	+	NOUN
ejpam-6084	632	2	qn(u	qn(u	NOUN
ejpam-6084	632	3	,	,	PUNCT
ejpam-6084	632	4	u	u	NOUN
ejpam-6084	632	5	,	,	PUNCT
ejpam-6084	632	6	.	.	PUNCT
ejpam-6084	632	7	.	.	PUNCT
ejpam-6084	633	1	.	.	PUNCT
ejpam-6084	634	1	,	,	PUNCT
ejpam-6084	634	2	α1	α1	PROPN
ejpam-6084	634	3	,	,	PUNCT
ejpam-6084	634	4	b	b	NOUN
ejpam-6084	634	5	′	′	NUM
ejpam-6084	634	6	11,ψ(x12	11,ψ(x12	NUM
ejpam-6084	634	7	)	)	PUNCT
ejpam-6084	634	8	)	)	PUNCT
ejpam-6084	635	1	=	=	SYM
ejpam-6084	635	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	635	3	)	)	PUNCT
ejpam-6084	635	4	,	,	PUNCT
ejpam-6084	635	5	u	u	NOUN
ejpam-6084	635	6	,	,	PUNCT
ejpam-6084	635	7	.	.	PUNCT
ejpam-6084	635	8	.	.	PUNCT
ejpam-6084	635	9	.	.	PUNCT
ejpam-6084	636	1	,	,	PUNCT
ejpam-6084	636	2	α1	α1	PROPN
ejpam-6084	636	3	,	,	PUNCT
ejpam-6084	636	4	(	(	PUNCT
ejpam-6084	636	5	b11	b11	PROPN
ejpam-6084	637	1	+	+	PROPN
ejpam-6084	637	2	b	b	NOUN
ejpam-6084	637	3	′	′	NUM
ejpam-6084	637	4	11	11	NUM
ejpam-6084	637	5	)	)	PUNCT
ejpam-6084	637	6	,	,	PUNCT
ejpam-6084	637	7	x12	x12	NUM
ejpam-6084	637	8	)	)	PUNCT
ejpam-6084	638	1	+	+	NOUN
ejpam-6084	638	2	qn(u	qn(u	NOUN
ejpam-6084	638	3	,	,	PUNCT
ejpam-6084	638	4	ψ(u	ψ(u	PROPN
ejpam-6084	638	5	)	)	PUNCT
ejpam-6084	638	6	,	,	PUNCT
ejpam-6084	638	7	.	.	PUNCT
ejpam-6084	638	8	.	.	PUNCT
ejpam-6084	639	1	.	.	PUNCT
ejpam-6084	640	1	,	,	PUNCT
ejpam-6084	640	2	α1	α1	PROPN
ejpam-6084	640	3	,	,	PUNCT
ejpam-6084	640	4	(	(	PUNCT
ejpam-6084	640	5	b11	b11	PROPN
ejpam-6084	641	1	+	+	PROPN
ejpam-6084	641	2	b	b	NOUN
ejpam-6084	641	3	′	′	NUM
ejpam-6084	641	4	11	11	NUM
ejpam-6084	641	5	)	)	PUNCT
ejpam-6084	641	6	,	,	PUNCT
ejpam-6084	641	7	x12	x12	NUM
ejpam-6084	641	8	)	)	PUNCT
ejpam-6084	641	9	+	+	NUM
ejpam-6084	641	10	·	·	PUNCT
ejpam-6084	641	11	·	·	PUNCT
ejpam-6084	641	12	·	·	PUNCT
ejpam-6084	641	13	+	+	NOUN
ejpam-6084	641	14	qn(u	qn(u	NOUN
ejpam-6084	641	15	,	,	PUNCT
ejpam-6084	641	16	u	u	NOUN
ejpam-6084	641	17	,	,	PUNCT
ejpam-6084	641	18	.	.	PUNCT
ejpam-6084	641	19	.	.	PUNCT
ejpam-6084	641	20	.	.	PUNCT
ejpam-6084	642	1	,	,	PUNCT
ejpam-6084	642	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	642	3	)	)	PUNCT
ejpam-6084	642	4	,	,	PUNCT
ejpam-6084	642	5	(	(	PUNCT
ejpam-6084	642	6	b11	b11	PROPN
ejpam-6084	642	7	+	+	PROPN
ejpam-6084	642	8	b	b	NOUN
ejpam-6084	642	9	′	′	NUM
ejpam-6084	642	10	11	11	NUM
ejpam-6084	642	11	)	)	PUNCT
ejpam-6084	642	12	,	,	PUNCT
ejpam-6084	642	13	x12	x12	NUM
ejpam-6084	642	14	)	)	PUNCT
ejpam-6084	642	15	+	+	NOUN
ejpam-6084	642	16	qn(u	qn(u	NOUN
ejpam-6084	642	17	,	,	PUNCT
ejpam-6084	642	18	u	u	NOUN
ejpam-6084	642	19	,	,	PUNCT
ejpam-6084	642	20	.	.	PUNCT
ejpam-6084	642	21	.	.	PUNCT
ejpam-6084	642	22	.	.	PUNCT
ejpam-6084	643	1	,	,	PUNCT
ejpam-6084	643	2	α1	α1	PROPN
ejpam-6084	643	3	,	,	PUNCT
ejpam-6084	643	4	(	(	PUNCT
ejpam-6084	643	5	ψ(b11	ψ(b11	NOUN
ejpam-6084	643	6	)	)	PUNCT
ejpam-6084	644	1	+	+	NUM
ejpam-6084	644	2	ψ(b	ψ(b	NOUN
ejpam-6084	644	3	′	′	NOUN
ejpam-6084	644	4	11	11	NUM
ejpam-6084	644	5	)	)	PUNCT
ejpam-6084	644	6	)	)	PUNCT
ejpam-6084	644	7	,	,	PUNCT
ejpam-6084	644	8	x12	x12	NUM
ejpam-6084	644	9	)	)	PUNCT
ejpam-6084	645	1	+	+	NOUN
ejpam-6084	645	2	qn(u	qn(u	NOUN
ejpam-6084	645	3	,	,	PUNCT
ejpam-6084	645	4	u	u	NOUN
ejpam-6084	645	5	,	,	PUNCT
ejpam-6084	645	6	.	.	PUNCT
ejpam-6084	645	7	.	.	PUNCT
ejpam-6084	646	1	.	.	PUNCT
ejpam-6084	647	1	,	,	PUNCT
ejpam-6084	647	2	α1	α1	PROPN
ejpam-6084	647	3	,	,	PUNCT
ejpam-6084	647	4	(	(	PUNCT
ejpam-6084	647	5	b11	b11	PROPN
ejpam-6084	647	6	+	+	PROPN
ejpam-6084	647	7	b	b	NOUN
ejpam-6084	647	8	′	′	NUM
ejpam-6084	647	9	11),ψ(x12	11),ψ(x12	NUM
ejpam-6084	647	10	)	)	PUNCT
ejpam-6084	647	11	)	)	PUNCT
ejpam-6084	647	12	.	.	PUNCT
ejpam-6084	648	1	however	however	ADV
ejpam-6084	648	2	,	,	PUNCT
ejpam-6084	648	3	in	in	ADP
ejpam-6084	648	4	contrast	contrast	NOUN
ejpam-6084	648	5	,	,	PUNCT
ejpam-6084	648	6	we	we	PRON
ejpam-6084	648	7	get	get	VERB
ejpam-6084	648	8	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	648	9	,	,	PUNCT
ejpam-6084	648	10	u	u	NOUN
ejpam-6084	648	11	,	,	PUNCT
ejpam-6084	648	12	.	.	PUNCT
ejpam-6084	648	13	.	.	PUNCT
ejpam-6084	649	1	.	.	PUNCT
ejpam-6084	650	1	,	,	PUNCT
ejpam-6084	650	2	α1	α1	PROPN
ejpam-6084	650	3	,	,	PUNCT
ejpam-6084	650	4	(	(	PUNCT
ejpam-6084	650	5	b11	b11	PROPN
ejpam-6084	651	1	+	+	PROPN
ejpam-6084	651	2	b	b	NOUN
ejpam-6084	651	3	′	′	NUM
ejpam-6084	651	4	11	11	NUM
ejpam-6084	651	5	)	)	PUNCT
ejpam-6084	651	6	,	,	PUNCT
ejpam-6084	651	7	x12	x12	NUM
ejpam-6084	651	8	)	)	PUNCT
ejpam-6084	651	9	)	)	PUNCT
ejpam-6084	651	10	.	.	PUNCT
ejpam-6084	652	1	=	=	PUNCT
ejpam-6084	652	2	qn(ψ(u	qn(ψ(u	NOUN
ejpam-6084	652	3	)	)	PUNCT
ejpam-6084	652	4	,	,	PUNCT
ejpam-6084	652	5	u	u	NOUN
ejpam-6084	652	6	,	,	PUNCT
ejpam-6084	652	7	.	.	PUNCT
ejpam-6084	652	8	.	.	PUNCT
ejpam-6084	652	9	.	.	PUNCT
ejpam-6084	653	1	,	,	PUNCT
ejpam-6084	653	2	α1	α1	PROPN
ejpam-6084	653	3	,	,	PUNCT
ejpam-6084	653	4	(	(	PUNCT
ejpam-6084	653	5	b11	b11	PROPN
ejpam-6084	654	1	+	+	PROPN
ejpam-6084	654	2	b	b	NOUN
ejpam-6084	654	3	′	′	NUM
ejpam-6084	654	4	11	11	NUM
ejpam-6084	654	5	)	)	PUNCT
ejpam-6084	654	6	,	,	PUNCT
ejpam-6084	654	7	x12	x12	NUM
ejpam-6084	654	8	)	)	PUNCT
ejpam-6084	655	1	+	+	NOUN
ejpam-6084	655	2	qn(u	qn(u	NOUN
ejpam-6084	655	3	,	,	PUNCT
ejpam-6084	655	4	ψ(u	ψ(u	PROPN
ejpam-6084	655	5	)	)	PUNCT
ejpam-6084	655	6	,	,	PUNCT
ejpam-6084	655	7	.	.	PUNCT
ejpam-6084	655	8	.	.	PUNCT
ejpam-6084	656	1	.	.	PUNCT
ejpam-6084	657	1	,	,	PUNCT
ejpam-6084	657	2	α1	α1	PROPN
ejpam-6084	657	3	,	,	PUNCT
ejpam-6084	657	4	(	(	PUNCT
ejpam-6084	657	5	b11	b11	PROPN
ejpam-6084	658	1	+	+	PROPN
ejpam-6084	658	2	b	b	NOUN
ejpam-6084	658	3	′	′	NUM
ejpam-6084	658	4	11	11	NUM
ejpam-6084	658	5	)	)	PUNCT
ejpam-6084	658	6	,	,	PUNCT
ejpam-6084	658	7	x12	x12	NUM
ejpam-6084	658	8	)	)	PUNCT
ejpam-6084	658	9	+	+	NUM
ejpam-6084	658	10	·	·	PUNCT
ejpam-6084	658	11	·	·	PUNCT
ejpam-6084	658	12	·	·	PUNCT
ejpam-6084	658	13	+	+	NOUN
ejpam-6084	658	14	qn(u	qn(u	NOUN
ejpam-6084	658	15	,	,	PUNCT
ejpam-6084	658	16	u	u	NOUN
ejpam-6084	658	17	,	,	PUNCT
ejpam-6084	658	18	.	.	PUNCT
ejpam-6084	658	19	.	.	PUNCT
ejpam-6084	658	20	.	.	PUNCT
ejpam-6084	659	1	,	,	PUNCT
ejpam-6084	659	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	659	3	)	)	PUNCT
ejpam-6084	659	4	,	,	PUNCT
ejpam-6084	659	5	(	(	PUNCT
ejpam-6084	659	6	b11	b11	PROPN
ejpam-6084	659	7	+	+	PROPN
ejpam-6084	659	8	b	b	NOUN
ejpam-6084	659	9	′	′	NUM
ejpam-6084	659	10	11	11	NUM
ejpam-6084	659	11	)	)	PUNCT
ejpam-6084	659	12	,	,	PUNCT
ejpam-6084	659	13	x12	x12	NUM
ejpam-6084	659	14	)	)	PUNCT
ejpam-6084	659	15	+	+	NOUN
ejpam-6084	659	16	qn(u	qn(u	NOUN
ejpam-6084	659	17	,	,	PUNCT
ejpam-6084	659	18	u	u	NOUN
ejpam-6084	659	19	,	,	PUNCT
ejpam-6084	659	20	.	.	PUNCT
ejpam-6084	659	21	.	.	PUNCT
ejpam-6084	659	22	.	.	PUNCT
ejpam-6084	660	1	,	,	PUNCT
ejpam-6084	660	2	α1	α1	PROPN
ejpam-6084	660	3	,	,	PUNCT
ejpam-6084	660	4	(	(	PUNCT
ejpam-6084	660	5	ψ(b11	ψ(b11	X
ejpam-6084	661	1	+	+	NOUN
ejpam-6084	661	2	b	b	NOUN
ejpam-6084	661	3	′	′	NUM
ejpam-6084	661	4	11	11	NUM
ejpam-6084	661	5	)	)	PUNCT
ejpam-6084	661	6	)	)	PUNCT
ejpam-6084	661	7	,	,	PUNCT
ejpam-6084	661	8	x12	x12	NUM
ejpam-6084	661	9	)	)	PUNCT
ejpam-6084	662	1	+	+	NOUN
ejpam-6084	662	2	qn(u	qn(u	NOUN
ejpam-6084	662	3	,	,	PUNCT
ejpam-6084	662	4	u	u	NOUN
ejpam-6084	662	5	,	,	PUNCT
ejpam-6084	662	6	.	.	PUNCT
ejpam-6084	662	7	.	.	PUNCT
ejpam-6084	663	1	.	.	PUNCT
ejpam-6084	664	1	,	,	PUNCT
ejpam-6084	664	2	α1	α1	PROPN
ejpam-6084	664	3	,	,	PUNCT
ejpam-6084	664	4	(	(	PUNCT
ejpam-6084	664	5	b11	b11	PROPN
ejpam-6084	664	6	+	+	PROPN
ejpam-6084	664	7	b	b	NOUN
ejpam-6084	664	8	′	′	NUM
ejpam-6084	664	9	11),ψ(x12	11),ψ(x12	NUM
ejpam-6084	664	10	)	)	PUNCT
ejpam-6084	664	11	)	)	PUNCT
ejpam-6084	664	12	.	.	PUNCT
ejpam-6084	664	13	examine	examine	VERB
ejpam-6084	664	14	just	just	ADV
ejpam-6084	664	15	the	the	DET
ejpam-6084	664	16	last	last	ADJ
ejpam-6084	664	17	two	two	NUM
ejpam-6084	664	18	statements	statement	NOUN
ejpam-6084	664	19	for	for	ADP
ejpam-6084	664	20	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	664	21	,	,	PUNCT
ejpam-6084	664	22	u	u	NOUN
ejpam-6084	664	23	,	,	PUNCT
ejpam-6084	664	24	.	.	PUNCT
ejpam-6084	664	25	.	.	PUNCT
ejpam-6084	665	1	.	.	PUNCT
ejpam-6084	666	1	,	,	PUNCT
ejpam-6084	666	2	α1	α1	PROPN
ejpam-6084	666	3	,	,	PUNCT
ejpam-6084	666	4	(	(	PUNCT
ejpam-6084	666	5	b11	b11	NOUN
ejpam-6084	666	6	+	+	CCONJ
ejpam-6084	666	7	b	b	NOUN
ejpam-6084	666	8	′	′	NUM
ejpam-6084	666	9	11	11	NUM
ejpam-6084	666	10	)	)	PUNCT
ejpam-6084	666	11	,	,	PUNCT
ejpam-6084	666	12	x12	x12	NUM
ejpam-6084	666	13	)	)	PUNCT
ejpam-6084	666	14	)	)	PUNCT
ejpam-6084	666	15	to	to	PART
ejpam-6084	666	16	get	get	VERB
ejpam-6084	666	17	qn(u	qn(u	NOUN
ejpam-6084	666	18	,	,	PUNCT
ejpam-6084	666	19	u	u	NOUN
ejpam-6084	666	20	,	,	PUNCT
ejpam-6084	666	21	.	.	PUNCT
ejpam-6084	666	22	.	.	PUNCT
ejpam-6084	666	23	.	.	PUNCT
ejpam-6084	667	1	,	,	PUNCT
ejpam-6084	667	2	α1,h	α1,h	PROPN
ejpam-6084	667	3	,	,	PUNCT
ejpam-6084	667	4	x12	x12	NUM
ejpam-6084	667	5	)	)	PUNCT
ejpam-6084	667	6	=	=	SYM
ejpam-6084	667	7	0	0	NUM
ejpam-6084	667	8	,	,	PUNCT
ejpam-6084	667	9	implies	imply	VERB
ejpam-6084	667	10	that	that	SCONJ
ejpam-6084	667	11	α1tx12+hα1x12+x12h∅α1	α1tx12+hα1x12+x12h∅α1	X
ejpam-6084	667	12	=	=	SYM
ejpam-6084	667	13	0	0	X
ejpam-6084	667	14	.	.	X
ejpam-6084	667	15	multiplying	multiply	VERB
ejpam-6084	667	16	md	md	PROPN
ejpam-6084	667	17	arshad	arshad	PROPN
ejpam-6084	667	18	madni	madni	PROPN
ejpam-6084	667	19	et	et	PROPN
ejpam-6084	667	20	al	al	PROPN
ejpam-6084	667	21	.	.	PUNCT
ejpam-6084	667	22	/	/	SYM
ejpam-6084	667	23	eur	eur	PROPN
ejpam-6084	667	24	.	.	PUNCT
ejpam-6084	668	1	j.	j.	PROPN
ejpam-6084	668	2	pure	pure	PROPN
ejpam-6084	668	3	appl	appl	PROPN
ejpam-6084	668	4	.	.	PROPN
ejpam-6084	668	5	math	math	PROPN
ejpam-6084	668	6	,	,	PUNCT
ejpam-6084	668	7	18	18	NUM
ejpam-6084	668	8	(	(	PUNCT
ejpam-6084	668	9	2	2	NUM
ejpam-6084	668	10	)	)	PUNCT
ejpam-6084	668	11	(	(	PUNCT
ejpam-6084	668	12	2025	2025	NUM
ejpam-6084	668	13	)	)	PUNCT
ejpam-6084	668	14	,	,	PUNCT
ejpam-6084	668	15	6084	6084	NUM
ejpam-6084	668	16	9	9	NUM
ejpam-6084	668	17	of	of	ADP
ejpam-6084	668	18	16	16	NUM
ejpam-6084	668	19	it	it	PRON
ejpam-6084	668	20	both	both	DET
ejpam-6084	668	21	sides	side	NOUN
ejpam-6084	668	22	by	by	ADP
ejpam-6084	668	23	α1	α1	PROPN
ejpam-6084	668	24	and	and	CCONJ
ejpam-6084	668	25	α2	α2	ADJ
ejpam-6084	668	26	from	from	ADP
ejpam-6084	668	27	left	left	ADJ
ejpam-6084	668	28	and	and	CCONJ
ejpam-6084	668	29	right	right	ADJ
ejpam-6084	668	30	respectively	respectively	ADV
ejpam-6084	668	31	,	,	PUNCT
ejpam-6084	668	32	we	we	PRON
ejpam-6084	668	33	obtain	obtain	VERB
ejpam-6084	668	34	α1tα1xα2	α1tα1xα2	NUM
ejpam-6084	668	35	=	=	NOUN
ejpam-6084	668	36	0	0	NUM
ejpam-6084	669	1	for	for	ADP
ejpam-6084	669	2	all	all	DET
ejpam-6084	669	3	y	y	PROPN
ejpam-6084	669	4	∈	∈	PROPN
ejpam-6084	669	5	b.	b.	PROPN
ejpam-6084	669	6	utilizing	utilize	VERB
ejpam-6084	669	7	condition	condition	NOUN
ejpam-6084	669	8	(	(	PUNCT
ejpam-6084	669	9	♠	♠	NOUN
ejpam-6084	669	10	)	)	PUNCT
ejpam-6084	669	11	yields	yield	NOUN
ejpam-6084	669	12	h11	h11	NOUN
ejpam-6084	669	13	=	=	SYM
ejpam-6084	669	14	0	0	PROPN
ejpam-6084	669	15	.	.	PUNCT
ejpam-6084	669	16	hence	hence	ADV
ejpam-6084	669	17	h	h	NOUN
ejpam-6084	669	18	=	=	SYM
ejpam-6084	669	19	0	0	PROPN
ejpam-6084	669	20	,	,	PUNCT
ejpam-6084	669	21	that	that	ADV
ejpam-6084	669	22	is	be	AUX
ejpam-6084	669	23	,	,	PUNCT
ejpam-6084	669	24	ψ(b11	ψ(b11	VERB
ejpam-6084	670	1	+	+	NOUN
ejpam-6084	670	2	b	b	NOUN
ejpam-6084	670	3	′	′	NUM
ejpam-6084	670	4	11	11	NUM
ejpam-6084	670	5	)	)	PUNCT
ejpam-6084	670	6	=	=	SYM
ejpam-6084	670	7	ψ(b11	ψ(b11	NOUN
ejpam-6084	670	8	)	)	PUNCT
ejpam-6084	671	1	+	+	PUNCT
ejpam-6084	671	2	ψ(b	ψ(b	NOUN
ejpam-6084	671	3	′	′	NOUN
ejpam-6084	671	4	11	11	NUM
ejpam-6084	671	5	)	)	PUNCT
ejpam-6084	671	6	.	.	PUNCT
ejpam-6084	672	1	symmetrically	symmetrically	ADV
ejpam-6084	672	2	,	,	PUNCT
ejpam-6084	672	3	one	one	PRON
ejpam-6084	672	4	can	can	AUX
ejpam-6084	672	5	prove	prove	VERB
ejpam-6084	672	6	that	that	DET
ejpam-6084	672	7	ψ(b22	ψ(b22	NOUN
ejpam-6084	673	1	+	+	PROPN
ejpam-6084	673	2	b	b	NOUN
ejpam-6084	673	3	′	′	NUM
ejpam-6084	673	4	22	22	NUM
ejpam-6084	673	5	)	)	PUNCT
ejpam-6084	673	6	=	=	SYM
ejpam-6084	673	7	ψ(b22	ψ(b22	NOUN
ejpam-6084	673	8	)	)	PUNCT
ejpam-6084	674	1	+	+	PUNCT
ejpam-6084	674	2	ψ(b	ψ(b	PROPN
ejpam-6084	674	3	′	′	NOUN
ejpam-6084	674	4	22	22	NUM
ejpam-6084	674	5	)	)	PUNCT
ejpam-6084	674	6	.	.	PUNCT
ejpam-6084	675	1	lemma	lemma	PROPN
ejpam-6084	675	2	7	7	NUM
ejpam-6084	675	3	.	.	PUNCT
ejpam-6084	676	1	the	the	DET
ejpam-6084	676	2	mapping	mapping	NOUN
ejpam-6084	676	3	ψ	ψ	NOUN
ejpam-6084	676	4	is	be	AUX
ejpam-6084	676	5	additive	additive	ADJ
ejpam-6084	676	6	on	on	ADP
ejpam-6084	676	7	b.	b.	PROPN
ejpam-6084	676	8	proof	proof	NOUN
ejpam-6084	676	9	.	.	PUNCT
ejpam-6084	677	1	for	for	ADP
ejpam-6084	677	2	any	any	DET
ejpam-6084	677	3	element	element	NOUN
ejpam-6084	677	4	l	l	NOUN
ejpam-6084	677	5	,	,	PUNCT
ejpam-6084	677	6	r	r	NOUN
ejpam-6084	677	7	∈	∈	PROPN
ejpam-6084	677	8	b	b	NOUN
ejpam-6084	677	9	,	,	PUNCT
ejpam-6084	677	10	we	we	PRON
ejpam-6084	677	11	get	get	VERB
ejpam-6084	677	12	l	l	NOUN
ejpam-6084	677	13	=	=	SYM
ejpam-6084	677	14	l11	l11	PROPN
ejpam-6084	677	15	+	+	CCONJ
ejpam-6084	677	16	l12	l12	NOUN
ejpam-6084	677	17	+	+	CCONJ
ejpam-6084	677	18	l21	l21	NOUN
ejpam-6084	677	19	+	+	CCONJ
ejpam-6084	677	20	l22	l22	NOUN
ejpam-6084	677	21	and	and	CCONJ
ejpam-6084	677	22	r	r	NOUN
ejpam-6084	677	23	=	=	SYM
ejpam-6084	677	24	b11	b11	PROPN
ejpam-6084	677	25	+	+	NOUN
ejpam-6084	677	26	b12	b12	NOUN
ejpam-6084	677	27	+	+	SYM
ejpam-6084	677	28	b21	b21	PROPN
ejpam-6084	677	29	+	+	PROPN
ejpam-6084	677	30	b22	b22	PROPN
ejpam-6084	677	31	.	.	PUNCT
ejpam-6084	677	32	applying	apply	VERB
ejpam-6084	677	33	the	the	DET
ejpam-6084	677	34	lemmas	lemma	NOUN
ejpam-6084	677	35	,	,	PUNCT
ejpam-6084	677	36	we	we	PRON
ejpam-6084	677	37	get	get	VERB
ejpam-6084	677	38	ψ(l+r	ψ(l+r	NOUN
ejpam-6084	677	39	)	)	PUNCT
ejpam-6084	677	40	=	=	NOUN
ejpam-6084	677	41	ψ(l11	ψ(l11	NOUN
ejpam-6084	677	42	+	+	CCONJ
ejpam-6084	677	43	l12	l12	NOUN
ejpam-6084	677	44	+	+	CCONJ
ejpam-6084	677	45	l21	l21	NOUN
ejpam-6084	678	1	+	+	CCONJ
ejpam-6084	678	2	l22	l22	NOUN
ejpam-6084	678	3	+	+	NOUN
ejpam-6084	678	4	b11	b11	NOUN
ejpam-6084	678	5	+	+	ADJ
ejpam-6084	678	6	b12	b12	NOUN
ejpam-6084	678	7	+	+	ADJ
ejpam-6084	678	8	b21	b21	PROPN
ejpam-6084	678	9	+	+	SYM
ejpam-6084	678	10	b22	b22	PROPN
ejpam-6084	678	11	)	)	PUNCT
ejpam-6084	678	12	=	=	NOUN
ejpam-6084	678	13	ψ(l11	ψ(l11	NOUN
ejpam-6084	678	14	+	+	SYM
ejpam-6084	678	15	b11	b11	NOUN
ejpam-6084	678	16	)	)	PUNCT
ejpam-6084	679	1	+	+	NUM
ejpam-6084	679	2	ψ(l12	ψ(l12	NOUN
ejpam-6084	679	3	+	+	ADJ
ejpam-6084	679	4	b12	b12	NOUN
ejpam-6084	679	5	)	)	PUNCT
ejpam-6084	679	6	+	+	NUM
ejpam-6084	679	7	ψ(l21	ψ(l21	NOUN
ejpam-6084	679	8	+	+	ADJ
ejpam-6084	679	9	b21	b21	NOUN
ejpam-6084	679	10	)	)	PUNCT
ejpam-6084	679	11	+	+	NUM
ejpam-6084	679	12	ψ(l22	ψ(l22	PROPN
ejpam-6084	679	13	+	+	ADJ
ejpam-6084	679	14	b22	b22	PROPN
ejpam-6084	679	15	)	)	PUNCT
ejpam-6084	679	16	=	=	SYM
ejpam-6084	679	17	ψ(l11	ψ(l11	NOUN
ejpam-6084	679	18	)	)	PUNCT
ejpam-6084	679	19	+	+	NOUN
ejpam-6084	679	20	ψ(b11	ψ(b11	NOUN
ejpam-6084	679	21	)	)	PUNCT
ejpam-6084	679	22	+	+	NUM
ejpam-6084	679	23	ψ(l12	ψ(l12	NOUN
ejpam-6084	679	24	)	)	PUNCT
ejpam-6084	680	1	+	+	CCONJ
ejpam-6084	680	2	ψ(b12	ψ(b12	NOUN
ejpam-6084	680	3	)	)	PUNCT
ejpam-6084	681	1	+	+	NUM
ejpam-6084	681	2	ψ(l21	ψ(l21	NOUN
ejpam-6084	681	3	)	)	PUNCT
ejpam-6084	682	1	+	+	CCONJ
ejpam-6084	682	2	ψ(b21	ψ(b21	NOUN
ejpam-6084	682	3	)	)	PUNCT
ejpam-6084	683	1	+	+	CCONJ
ejpam-6084	683	2	ψ(l22	ψ(l22	NOUN
ejpam-6084	683	3	)	)	PUNCT
ejpam-6084	684	1	+	+	SYM
ejpam-6084	684	2	ψ(b22	ψ(b22	NOUN
ejpam-6084	684	3	)	)	PUNCT
ejpam-6084	684	4	=	=	NOUN
ejpam-6084	684	5	ψ(l11	ψ(l11	NOUN
ejpam-6084	684	6	+	+	CCONJ
ejpam-6084	684	7	l12	l12	NOUN
ejpam-6084	684	8	+	+	CCONJ
ejpam-6084	684	9	l21	l21	NOUN
ejpam-6084	684	10	+	+	CCONJ
ejpam-6084	684	11	l22	l22	NOUN
ejpam-6084	684	12	)	)	PUNCT
ejpam-6084	685	1	+	+	CCONJ
ejpam-6084	685	2	ψ(b11	ψ(b11	X
ejpam-6084	685	3	+	+	ADV
ejpam-6084	685	4	b12	b12	ADJ
ejpam-6084	685	5	+	+	ADJ
ejpam-6084	685	6	b21	b21	PROPN
ejpam-6084	685	7	+	+	PROPN
ejpam-6084	685	8	b22	b22	PROPN
ejpam-6084	685	9	)	)	PUNCT
ejpam-6084	685	10	=	=	SYM
ejpam-6084	685	11	ψ(l	ψ(l	NOUN
ejpam-6084	685	12	)	)	PUNCT
ejpam-6084	685	13	+	+	CCONJ
ejpam-6084	685	14	ψ(r	ψ(r	NOUN
ejpam-6084	685	15	)	)	PUNCT
ejpam-6084	685	16	.	.	PUNCT
ejpam-6084	686	1	lemma	lemma	PROPN
ejpam-6084	686	2	8	8	NUM
ejpam-6084	686	3	.	.	PUNCT
ejpam-6084	687	1	(	(	PUNCT
ejpam-6084	687	2	1	1	X
ejpam-6084	687	3	)	)	PUNCT
ejpam-6084	687	4	α1ψ(α1)α2	α1ψ(α1)α2	VERB
ejpam-6084	687	5	=	=	SYM
ejpam-6084	688	1	−α1ψ(α2)α2	−α1ψ(α2)α2	PROPN
ejpam-6084	688	2	.	.	PUNCT
ejpam-6084	689	1	(	(	PUNCT
ejpam-6084	689	2	2	2	NUM
ejpam-6084	689	3	)	)	PUNCT
ejpam-6084	689	4	α2ψ(α1)α1	α2ψ(α1)α1	NOUN
ejpam-6084	690	1	=	=	SYM
ejpam-6084	690	2	−α2ψ(α2)α1	−α2ψ(α2)α1	PROPN
ejpam-6084	690	3	.	.	PUNCT
ejpam-6084	691	1	(	(	PUNCT
ejpam-6084	691	2	3	3	NUM
ejpam-6084	691	3	)	)	PUNCT
ejpam-6084	691	4	α1ψ(α2)α1	α1ψ(α2)α1	PUNCT
ejpam-6084	692	1	=	=	SYM
ejpam-6084	692	2	α2ψ(α1)α2	α2ψ(α1)α2	X
ejpam-6084	692	3	=	=	SYM
ejpam-6084	692	4	0	0	X
ejpam-6084	692	5	.	.	PUNCT
ejpam-6084	692	6	proof	proof	NOUN
ejpam-6084	692	7	.	.	PUNCT
ejpam-6084	693	1	using	use	VERB
ejpam-6084	693	2	the	the	DET
ejpam-6084	693	3	fact	fact	NOUN
ejpam-6084	693	4	that	that	SCONJ
ejpam-6084	693	5	qn(α1	qn(α1	NOUN
ejpam-6084	693	6	,	,	PUNCT
ejpam-6084	693	7	α1	α1	PROPN
ejpam-6084	693	8	,	,	PUNCT
ejpam-6084	693	9	α1	α1	PROPN
ejpam-6084	693	10	,	,	PUNCT
ejpam-6084	693	11	.	.	PUNCT
ejpam-6084	693	12	.	.	PUNCT
ejpam-6084	693	13	.	.	PUNCT
ejpam-6084	694	1	,	,	PUNCT
ejpam-6084	694	2	α1	α1	PROPN
ejpam-6084	694	3	,	,	PUNCT
ejpam-6084	694	4	α2	α2	ADJ
ejpam-6084	694	5	)	)	PUNCT
ejpam-6084	695	1	=	=	SYM
ejpam-6084	695	2	0	0	NUM
ejpam-6084	695	3	and	and	CCONJ
ejpam-6084	695	4	lemma	lemma	PROPN
ejpam-6084	695	5	1	1	NUM
ejpam-6084	695	6	,	,	PUNCT
ejpam-6084	695	7	we	we	PRON
ejpam-6084	695	8	obtain	obtain	VERB
ejpam-6084	695	9	0	0	NUM
ejpam-6084	696	1	=	=	SYM
ejpam-6084	696	2	ψ(qn(α1	ψ(qn(α1	NOUN
ejpam-6084	696	3	,	,	PUNCT
ejpam-6084	696	4	α1	α1	PROPN
ejpam-6084	696	5	,	,	PUNCT
ejpam-6084	696	6	α1	α1	PROPN
ejpam-6084	696	7	,	,	PUNCT
ejpam-6084	696	8	.	.	PUNCT
ejpam-6084	696	9	.	.	PUNCT
ejpam-6084	696	10	.	.	PUNCT
ejpam-6084	697	1	,	,	PUNCT
ejpam-6084	697	2	α1	α1	PROPN
ejpam-6084	697	3	,	,	PUNCT
ejpam-6084	697	4	α2	α2	PROPN
ejpam-6084	697	5	)	)	PUNCT
ejpam-6084	697	6	)	)	PUNCT
ejpam-6084	698	1	=	=	SYM
ejpam-6084	698	2	qn(ψ(α1	qn(ψ(α1	NOUN
ejpam-6084	698	3	)	)	PUNCT
ejpam-6084	698	4	,	,	PUNCT
ejpam-6084	698	5	α1	α1	PROPN
ejpam-6084	698	6	,	,	PUNCT
ejpam-6084	698	7	α1	α1	PROPN
ejpam-6084	698	8	,	,	PUNCT
ejpam-6084	698	9	.	.	PUNCT
ejpam-6084	698	10	.	.	PUNCT
ejpam-6084	698	11	.	.	PUNCT
ejpam-6084	699	1	,	,	PUNCT
ejpam-6084	699	2	α1	α1	PROPN
ejpam-6084	699	3	,	,	PUNCT
ejpam-6084	699	4	α2	α2	ADJ
ejpam-6084	699	5	)	)	PUNCT
ejpam-6084	700	1	+	+	NOUN
ejpam-6084	700	2	qn(α1,ψ(α1	qn(α1,ψ(α1	NOUN
ejpam-6084	700	3	)	)	PUNCT
ejpam-6084	700	4	,	,	PUNCT
ejpam-6084	700	5	α1	α1	PROPN
ejpam-6084	700	6	,	,	PUNCT
ejpam-6084	700	7	.	.	PUNCT
ejpam-6084	700	8	.	.	PUNCT
ejpam-6084	700	9	.	.	PUNCT
ejpam-6084	701	1	,	,	PUNCT
ejpam-6084	701	2	α1	α1	PROPN
ejpam-6084	701	3	,	,	PUNCT
ejpam-6084	701	4	α2	α2	ADJ
ejpam-6084	701	5	)	)	PUNCT
ejpam-6084	702	1	+	+	X
ejpam-6084	702	2	qn(α1	qn(α1	NOUN
ejpam-6084	702	3	,	,	PUNCT
ejpam-6084	702	4	α1,ψ(α1	α1,ψ(α1	NUM
ejpam-6084	702	5	)	)	PUNCT
ejpam-6084	702	6	,	,	PUNCT
ejpam-6084	702	7	.	.	PUNCT
ejpam-6084	702	8	.	.	PUNCT
ejpam-6084	703	1	.	.	PUNCT
ejpam-6084	704	1	,	,	PUNCT
ejpam-6084	704	2	α1	α1	PROPN
ejpam-6084	704	3	,	,	PUNCT
ejpam-6084	704	4	α2	α2	ADJ
ejpam-6084	704	5	)	)	PUNCT
ejpam-6084	705	1	+	+	CCONJ
ejpam-6084	706	1	·	·	PUNCT
ejpam-6084	706	2	·	·	PUNCT
ejpam-6084	706	3	·	·	PUNCT
ejpam-6084	706	4	+	+	NOUN
ejpam-6084	706	5	qn(α1	qn(α1	NOUN
ejpam-6084	706	6	,	,	PUNCT
ejpam-6084	706	7	α1	α1	PROPN
ejpam-6084	706	8	,	,	PUNCT
ejpam-6084	706	9	α1	α1	PROPN
ejpam-6084	706	10	,	,	PUNCT
ejpam-6084	706	11	.	.	PUNCT
ejpam-6084	706	12	.	.	PUNCT
ejpam-6084	706	13	.	.	PUNCT
ejpam-6084	707	1	,	,	PUNCT
ejpam-6084	707	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	707	3	)	)	PUNCT
ejpam-6084	707	4	,	,	PUNCT
ejpam-6084	707	5	α2	α2	ADJ
ejpam-6084	707	6	)	)	PUNCT
ejpam-6084	708	1	+	+	X
ejpam-6084	708	2	qn(α1	qn(α1	NOUN
ejpam-6084	708	3	,	,	PUNCT
ejpam-6084	708	4	α1	α1	PROPN
ejpam-6084	708	5	,	,	PUNCT
ejpam-6084	708	6	α1	α1	PROPN
ejpam-6084	708	7	,	,	PUNCT
ejpam-6084	708	8	.	.	PUNCT
ejpam-6084	708	9	.	.	PUNCT
ejpam-6084	709	1	.	.	PUNCT
ejpam-6084	710	1	,	,	PUNCT
ejpam-6084	710	2	α1,ψ(α2	α1,ψ(α2	PROPN
ejpam-6084	710	3	)	)	PUNCT
ejpam-6084	710	4	)	)	PUNCT
ejpam-6084	711	1	=	=	PRON
ejpam-6084	711	2	α1ψ(α1)α2	α1ψ(α1)α2	VERB
ejpam-6084	711	3	+	+	CCONJ
ejpam-6084	711	4	α2ψ(α1	α2ψ(α1	NOUN
ejpam-6084	711	5	)	)	PUNCT
ejpam-6084	711	6	∅α1	∅α1	NOUN
ejpam-6084	711	7	+	+	CCONJ
ejpam-6084	711	8	α1ψ(α1)α2	α1ψ(α1)α2	ADJ
ejpam-6084	711	9	+	+	CCONJ
ejpam-6084	711	10	α2ψ(α1	α2ψ(α1	NOUN
ejpam-6084	711	11	)	)	PUNCT
ejpam-6084	711	12	∅α1	∅α1	NOUN
ejpam-6084	711	13	+	+	CCONJ
ejpam-6084	712	1	2α1ψ(α1)α2	2α1ψ(α1)α2	NUM
ejpam-6084	712	2	+	+	CCONJ
ejpam-6084	712	3	2α2ψ(α1	2α2ψ(α1	NUM
ejpam-6084	712	4	)	)	PUNCT
ejpam-6084	712	5	∅	∅	NOUN
ejpam-6084	712	6	α1	α1	PROPN
ejpam-6084	712	7	+	+	X
ejpam-6084	712	8	·	·	PUNCT
ejpam-6084	712	9	·	·	PUNCT
ejpam-6084	712	10	·	·	PUNCT
ejpam-6084	713	1	+	+	NUM
ejpam-6084	714	1	2n−3α1ψ(α1)α2	2n−3α1ψ(α1)α2	NUM
ejpam-6084	714	2	+	+	NUM
ejpam-6084	714	3	2n−3α2ψ(α1	2n−3α2ψ(α1	NUM
ejpam-6084	714	4	)	)	PUNCT
ejpam-6084	714	5	∅α1	∅α1	NOUN
ejpam-6084	714	6	+	+	CCONJ
ejpam-6084	714	7	2n−2α1ψ(α2	2n−2α1ψ(α2	X
ejpam-6084	714	8	)	)	PUNCT
ejpam-6084	715	1	+	+	CCONJ
ejpam-6084	715	2	2n−2ψ(α2)α1	2n−2ψ(α2)α1	NUM
ejpam-6084	715	3	.	.	PUNCT
ejpam-6084	716	1	by	by	ADP
ejpam-6084	716	2	multiplying	multiply	VERB
ejpam-6084	716	3	the	the	DET
ejpam-6084	716	4	above	above	ADJ
ejpam-6084	716	5	relation	relation	NOUN
ejpam-6084	716	6	by	by	ADP
ejpam-6084	716	7	α1	α1	PROPN
ejpam-6084	716	8	on	on	ADP
ejpam-6084	716	9	the	the	DET
ejpam-6084	716	10	left	left	NOUN
ejpam-6084	716	11	and	and	CCONJ
ejpam-6084	716	12	α2	α2	ADJ
ejpam-6084	716	13	on	on	ADP
ejpam-6084	716	14	the	the	DET
ejpam-6084	716	15	right	right	NOUN
ejpam-6084	716	16	,	,	PUNCT
ejpam-6084	716	17	we	we	PRON
ejpam-6084	716	18	obtain	obtain	VERB
ejpam-6084	716	19	α1ψ(α1)α2	α1ψ(α1)α2	ADJ
ejpam-6084	716	20	=	=	PUNCT
ejpam-6084	716	21	−α1ψ(α2)α2	−α1ψ(α2)α2	PROPN
ejpam-6084	716	22	.	.	PUNCT
ejpam-6084	717	1	(	(	PUNCT
ejpam-6084	717	2	2	2	X
ejpam-6084	717	3	)	)	PUNCT
ejpam-6084	717	4	since	since	SCONJ
ejpam-6084	717	5	qn(α2	qn(α2	NOUN
ejpam-6084	717	6	,	,	PUNCT
ejpam-6084	717	7	α2	α2	ADJ
ejpam-6084	717	8	,	,	PUNCT
ejpam-6084	717	9	α2	α2	ADJ
ejpam-6084	717	10	,	,	PUNCT
ejpam-6084	717	11	.	.	PUNCT
ejpam-6084	717	12	.	.	PUNCT
ejpam-6084	717	13	.	.	PUNCT
ejpam-6084	718	1	,	,	PUNCT
ejpam-6084	718	2	α2	α2	ADJ
ejpam-6084	718	3	,	,	PUNCT
ejpam-6084	718	4	α1	α1	PROPN
ejpam-6084	718	5	)	)	PUNCT
ejpam-6084	718	6	=	=	SYM
ejpam-6084	718	7	0	0	NUM
ejpam-6084	718	8	and	and	CCONJ
ejpam-6084	718	9	lemma	lemma	PROPN
ejpam-6084	718	10	1	1	NUM
ejpam-6084	718	11	,	,	PUNCT
ejpam-6084	718	12	we	we	PRON
ejpam-6084	718	13	obtain	obtain	VERB
ejpam-6084	718	14	0	0	NUM
ejpam-6084	718	15	=	=	SYM
ejpam-6084	718	16	ψ(qn(α2	ψ(qn(α2	NOUN
ejpam-6084	718	17	,	,	PUNCT
ejpam-6084	718	18	α2	α2	ADJ
ejpam-6084	718	19	,	,	PUNCT
ejpam-6084	718	20	α2	α2	ADJ
ejpam-6084	718	21	,	,	PUNCT
ejpam-6084	718	22	.	.	PUNCT
ejpam-6084	718	23	.	.	PUNCT
ejpam-6084	719	1	.	.	PUNCT
ejpam-6084	720	1	,	,	PUNCT
ejpam-6084	720	2	α2	α2	ADJ
ejpam-6084	720	3	,	,	PUNCT
ejpam-6084	720	4	α1	α1	PROPN
ejpam-6084	720	5	)	)	PUNCT
ejpam-6084	720	6	)	)	PUNCT
ejpam-6084	721	1	=	=	SYM
ejpam-6084	721	2	qn(ψ(α2	qn(ψ(α2	PROPN
ejpam-6084	721	3	)	)	PUNCT
ejpam-6084	721	4	,	,	PUNCT
ejpam-6084	721	5	α2	α2	ADJ
ejpam-6084	721	6	,	,	PUNCT
ejpam-6084	721	7	α2	α2	ADJ
ejpam-6084	721	8	,	,	PUNCT
ejpam-6084	721	9	.	.	PUNCT
ejpam-6084	721	10	.	.	PUNCT
ejpam-6084	721	11	.	.	PUNCT
ejpam-6084	722	1	,	,	PUNCT
ejpam-6084	722	2	α2	α2	ADJ
ejpam-6084	722	3	,	,	PUNCT
ejpam-6084	722	4	α1	α1	PROPN
ejpam-6084	722	5	)	)	PUNCT
ejpam-6084	722	6	+	+	NOUN
ejpam-6084	722	7	qn(α2,ψ(α2	qn(α2,ψ(α2	NOUN
ejpam-6084	722	8	)	)	PUNCT
ejpam-6084	722	9	,	,	PUNCT
ejpam-6084	722	10	α2	α2	PROPN
ejpam-6084	722	11	,	,	PUNCT
ejpam-6084	722	12	.	.	PUNCT
ejpam-6084	722	13	.	.	PUNCT
ejpam-6084	722	14	.	.	PUNCT
ejpam-6084	723	1	,	,	PUNCT
ejpam-6084	723	2	α2	α2	ADJ
ejpam-6084	723	3	,	,	PUNCT
ejpam-6084	723	4	α1	α1	PROPN
ejpam-6084	723	5	)	)	PUNCT
ejpam-6084	724	1	+	+	NOUN
ejpam-6084	724	2	qn(α2	qn(α2	NOUN
ejpam-6084	724	3	,	,	PUNCT
ejpam-6084	724	4	α2,ψ(α2	α2,ψ(α2	PROPN
ejpam-6084	724	5	)	)	PUNCT
ejpam-6084	724	6	,	,	PUNCT
ejpam-6084	724	7	.	.	PUNCT
ejpam-6084	724	8	.	.	PUNCT
ejpam-6084	725	1	.	.	PUNCT
ejpam-6084	726	1	,	,	PUNCT
ejpam-6084	726	2	α2	α2	ADJ
ejpam-6084	726	3	,	,	PUNCT
ejpam-6084	726	4	α1	α1	PROPN
ejpam-6084	726	5	)	)	PUNCT
ejpam-6084	726	6	+	+	CCONJ
ejpam-6084	726	7	·	·	PUNCT
ejpam-6084	726	8	·	·	PUNCT
ejpam-6084	726	9	·	·	PUNCT
ejpam-6084	727	1	+	+	NOUN
ejpam-6084	727	2	qn(α2	qn(α2	NOUN
ejpam-6084	727	3	,	,	PUNCT
ejpam-6084	727	4	α2	α2	ADJ
ejpam-6084	727	5	,	,	PUNCT
ejpam-6084	727	6	α2	α2	ADJ
ejpam-6084	727	7	,	,	PUNCT
ejpam-6084	727	8	.	.	PUNCT
ejpam-6084	727	9	.	.	PUNCT
ejpam-6084	727	10	.	.	PUNCT
ejpam-6084	728	1	,	,	PUNCT
ejpam-6084	728	2	ψ(α2	ψ(α2	NOUN
ejpam-6084	728	3	)	)	PUNCT
ejpam-6084	728	4	,	,	PUNCT
ejpam-6084	728	5	α1	α1	PROPN
ejpam-6084	728	6	)	)	PUNCT
ejpam-6084	728	7	+	+	NOUN
ejpam-6084	728	8	qn(α2	qn(α2	NOUN
ejpam-6084	728	9	,	,	PUNCT
ejpam-6084	728	10	α2	α2	ADJ
ejpam-6084	728	11	,	,	PUNCT
ejpam-6084	728	12	α2	α2	ADJ
ejpam-6084	728	13	,	,	PUNCT
ejpam-6084	728	14	.	.	PUNCT
ejpam-6084	728	15	.	.	PUNCT
ejpam-6084	729	1	.	.	PUNCT
ejpam-6084	730	1	,	,	PUNCT
ejpam-6084	730	2	α2,ψ(α1	α2,ψ(α1	PROPN
ejpam-6084	730	3	)	)	PUNCT
ejpam-6084	730	4	)	)	PUNCT
ejpam-6084	731	1	=	=	SYM
ejpam-6084	731	2	α2ψ(α2)α1	α2ψ(α2)α1	PRON
ejpam-6084	731	3	+	+	NUM
ejpam-6084	731	4	α1ψ(α2	α1ψ(α2	NOUN
ejpam-6084	731	5	)	)	PUNCT
ejpam-6084	731	6	∅α2	∅α2	NOUN
ejpam-6084	732	1	+	+	CCONJ
ejpam-6084	732	2	α2ψ(α2)α1	α2ψ(α2)α1	PROPN
ejpam-6084	732	3	+	+	CCONJ
ejpam-6084	732	4	α1ψ(α2	α1ψ(α2	NOUN
ejpam-6084	732	5	)	)	PUNCT
ejpam-6084	732	6	∅α2	∅α2	NOUN
ejpam-6084	733	1	+	+	NUM
ejpam-6084	733	2	2α2ψ(α2)α1	2α2ψ(α2)α1	NUM
ejpam-6084	733	3	+	+	NUM
ejpam-6084	733	4	2α1ψ(α2	2α1ψ(α2	X
ejpam-6084	733	5	)	)	PUNCT
ejpam-6084	733	6	∅	∅	NOUN
ejpam-6084	733	7	α2	α2	VERB
ejpam-6084	733	8	+	+	CCONJ
ejpam-6084	733	9	·	·	PUNCT
ejpam-6084	733	10	·	·	PUNCT
ejpam-6084	733	11	·	·	PUNCT
ejpam-6084	734	1	+	+	CCONJ
ejpam-6084	734	2	2n−3α2ψ(α2)α1	2n−3α2ψ(α2)α1	NUM
ejpam-6084	734	3	+	+	NUM
ejpam-6084	734	4	2n−3α1ψ(α2	2n−3α1ψ(α2	X
ejpam-6084	734	5	)	)	PUNCT
ejpam-6084	734	6	∅α2	∅α2	NOUN
ejpam-6084	735	1	+	+	CCONJ
ejpam-6084	735	2	2n−2α2ψ(α1	2n−2α2ψ(α1	X
ejpam-6084	735	3	)	)	PUNCT
ejpam-6084	736	1	+	+	CCONJ
ejpam-6084	736	2	2n−2ψ(α1)α2	2n−2ψ(α1)α2	NUM
ejpam-6084	736	3	.	.	PUNCT
ejpam-6084	737	1	md	md	PROPN
ejpam-6084	737	2	arshad	arshad	PROPN
ejpam-6084	737	3	madni	madni	PROPN
ejpam-6084	737	4	et	et	PROPN
ejpam-6084	737	5	al	al	PROPN
ejpam-6084	737	6	.	.	PUNCT
ejpam-6084	737	7	/	/	SYM
ejpam-6084	737	8	eur	eur	PROPN
ejpam-6084	737	9	.	.	PUNCT
ejpam-6084	738	1	j.	j.	PROPN
ejpam-6084	738	2	pure	pure	PROPN
ejpam-6084	738	3	appl	appl	PROPN
ejpam-6084	738	4	.	.	PROPN
ejpam-6084	738	5	math	math	PROPN
ejpam-6084	738	6	,	,	PUNCT
ejpam-6084	738	7	18	18	NUM
ejpam-6084	738	8	(	(	PUNCT
ejpam-6084	738	9	2	2	NUM
ejpam-6084	738	10	)	)	PUNCT
ejpam-6084	738	11	(	(	PUNCT
ejpam-6084	738	12	2025	2025	NUM
ejpam-6084	738	13	)	)	PUNCT
ejpam-6084	738	14	,	,	PUNCT
ejpam-6084	738	15	6084	6084	NUM
ejpam-6084	738	16	10	10	NUM
ejpam-6084	738	17	of	of	ADP
ejpam-6084	738	18	16	16	NUM
ejpam-6084	738	19	after	after	ADP
ejpam-6084	738	20	multiplying	multiply	VERB
ejpam-6084	738	21	the	the	DET
ejpam-6084	738	22	final	final	ADJ
ejpam-6084	738	23	relation	relation	NOUN
ejpam-6084	738	24	by	by	ADP
ejpam-6084	738	25	α2	α2	PROPN
ejpam-6084	738	26	from	from	ADP
ejpam-6084	738	27	the	the	DET
ejpam-6084	738	28	left	left	NOUN
ejpam-6084	738	29	and	and	CCONJ
ejpam-6084	738	30	by	by	ADP
ejpam-6084	738	31	α1	α1	PROPN
ejpam-6084	738	32	from	from	ADP
ejpam-6084	738	33	the	the	DET
ejpam-6084	738	34	right	right	NOUN
ejpam-6084	738	35	,	,	PUNCT
ejpam-6084	738	36	we	we	PRON
ejpam-6084	738	37	get	get	VERB
ejpam-6084	738	38	α2ψ(α1)α1	α2ψ(α1)α1	PRON
ejpam-6084	738	39	=	=	SYM
ejpam-6084	738	40	−α2ψ(α2)α1	−α2ψ(α2)α1	PROPN
ejpam-6084	738	41	.	.	PUNCT
ejpam-6084	739	1	(	(	PUNCT
ejpam-6084	739	2	3	3	X
ejpam-6084	739	3	)	)	PUNCT
ejpam-6084	739	4	un	un	PROPN
ejpam-6084	739	5	(	(	PUNCT
ejpam-6084	739	6	1	1	NUM
ejpam-6084	739	7	)	)	PUNCT
ejpam-6084	739	8	,	,	PUNCT
ejpam-6084	739	9	we	we	PRON
ejpam-6084	739	10	have	have	VERB
ejpam-6084	739	11	0	0	NUM
ejpam-6084	739	12	=	=	SYM
ejpam-6084	739	13	α1ψ(α1)α2	α1ψ(α1)α2	X
ejpam-6084	740	1	+	+	CCONJ
ejpam-6084	740	2	α2ψ(α1	α2ψ(α1	NOUN
ejpam-6084	740	3	)	)	PUNCT
ejpam-6084	740	4	∅α1	∅α1	NOUN
ejpam-6084	740	5	+	+	CCONJ
ejpam-6084	740	6	α1ψ(α1)α2	α1ψ(α1)α2	ADJ
ejpam-6084	740	7	+	+	CCONJ
ejpam-6084	740	8	α2ψ(α1	α2ψ(α1	NOUN
ejpam-6084	740	9	)	)	PUNCT
ejpam-6084	740	10	∅α1	∅α1	NOUN
ejpam-6084	740	11	+	+	CCONJ
ejpam-6084	741	1	2α1ψ(α1)α2	2α1ψ(α1)α2	NUM
ejpam-6084	741	2	+	+	CCONJ
ejpam-6084	741	3	2α2ψ(α1	2α2ψ(α1	NUM
ejpam-6084	741	4	)	)	PUNCT
ejpam-6084	741	5	∅	∅	NOUN
ejpam-6084	741	6	α1	α1	PROPN
ejpam-6084	741	7	+	+	X
ejpam-6084	741	8	·	·	PUNCT
ejpam-6084	741	9	·	·	PUNCT
ejpam-6084	741	10	·	·	PUNCT
ejpam-6084	742	1	+	+	NUM
ejpam-6084	743	1	2n−3α1ψ(α1)α2	2n−3α1ψ(α1)α2	NUM
ejpam-6084	743	2	+	+	NUM
ejpam-6084	743	3	2n−3α2ψ(α1	2n−3α2ψ(α1	NUM
ejpam-6084	743	4	)	)	PUNCT
ejpam-6084	743	5	∅α1	∅α1	NOUN
ejpam-6084	743	6	+	+	CCONJ
ejpam-6084	743	7	2n−2α1ψ(α2	2n−2α1ψ(α2	X
ejpam-6084	743	8	)	)	PUNCT
ejpam-6084	744	1	+	+	CCONJ
ejpam-6084	744	2	2n−2ψ(α2)α1	2n−2ψ(α2)α1	NUM
ejpam-6084	744	3	.	.	PUNCT
ejpam-6084	745	1	taking	take	VERB
ejpam-6084	745	2	the	the	DET
ejpam-6084	745	3	left	left	ADJ
ejpam-6084	745	4	and	and	CCONJ
ejpam-6084	745	5	right	right	ADJ
ejpam-6084	745	6	sides	side	NOUN
ejpam-6084	745	7	and	and	CCONJ
ejpam-6084	745	8	multiplying	multiply	VERB
ejpam-6084	745	9	them	they	PRON
ejpam-6084	745	10	by	by	ADP
ejpam-6084	745	11	α1	α1	PROPN
ejpam-6084	745	12	,	,	PUNCT
ejpam-6084	745	13	respectively	respectively	ADV
ejpam-6084	745	14	,	,	PUNCT
ejpam-6084	745	15	yields	yield	NOUN
ejpam-6084	745	16	α1ψ(α2)α1	α1ψ(α2)α1	NUM
ejpam-6084	745	17	=	=	PUNCT
ejpam-6084	746	1	0	0	X
ejpam-6084	746	2	.	.	PUNCT
ejpam-6084	747	1	similarly	similarly	ADV
ejpam-6084	747	2	,	,	PUNCT
ejpam-6084	747	3	in	in	ADP
ejpam-6084	747	4	(	(	PUNCT
ejpam-6084	747	5	2	2	NUM
ejpam-6084	747	6	)	)	PUNCT
ejpam-6084	747	7	,	,	PUNCT
ejpam-6084	747	8	we	we	PRON
ejpam-6084	747	9	have	have	VERB
ejpam-6084	747	10	0	0	NUM
ejpam-6084	747	11	=	=	NOUN
ejpam-6084	747	12	α2ψ(α2)α1	α2ψ(α2)α1	PRON
ejpam-6084	747	13	+	+	NUM
ejpam-6084	747	14	α1ψ(α2	α1ψ(α2	NOUN
ejpam-6084	747	15	)	)	PUNCT
ejpam-6084	747	16	∅α2	∅α2	NOUN
ejpam-6084	748	1	+	+	CCONJ
ejpam-6084	748	2	α2ψ(α2)α1	α2ψ(α2)α1	PROPN
ejpam-6084	748	3	+	+	CCONJ
ejpam-6084	748	4	α1ψ(α2	α1ψ(α2	NOUN
ejpam-6084	748	5	)	)	PUNCT
ejpam-6084	748	6	∅α2	∅α2	NOUN
ejpam-6084	749	1	+	+	NUM
ejpam-6084	749	2	2α2ψ(α2)α1	2α2ψ(α2)α1	NUM
ejpam-6084	749	3	+	+	NUM
ejpam-6084	749	4	2α1ψ(α2	2α1ψ(α2	X
ejpam-6084	749	5	)	)	PUNCT
ejpam-6084	749	6	∅	∅	NOUN
ejpam-6084	749	7	α2	α2	VERB
ejpam-6084	749	8	+	+	CCONJ
ejpam-6084	749	9	·	·	PUNCT
ejpam-6084	749	10	·	·	PUNCT
ejpam-6084	749	11	·	·	PUNCT
ejpam-6084	750	1	+	+	CCONJ
ejpam-6084	750	2	2n−3α2ψ(α2)α1	2n−3α2ψ(α2)α1	NUM
ejpam-6084	750	3	+	+	NUM
ejpam-6084	750	4	2n−3α1ψ(α2	2n−3α1ψ(α2	X
ejpam-6084	750	5	)	)	PUNCT
ejpam-6084	750	6	∅α2	∅α2	NOUN
ejpam-6084	751	1	+	+	CCONJ
ejpam-6084	751	2	2n−2α2ψ(α1	2n−2α2ψ(α1	X
ejpam-6084	751	3	)	)	PUNCT
ejpam-6084	752	1	+	+	CCONJ
ejpam-6084	752	2	2n−2ψ(α1)α2	2n−2ψ(α1)α2	NUM
ejpam-6084	752	3	.	.	PUNCT
ejpam-6084	753	1	when	when	SCONJ
ejpam-6084	753	2	we	we	PRON
ejpam-6084	753	3	take	take	VERB
ejpam-6084	753	4	the	the	DET
ejpam-6084	753	5	left	left	ADJ
ejpam-6084	753	6	and	and	CCONJ
ejpam-6084	753	7	right	right	ADJ
ejpam-6084	753	8	sides	side	NOUN
ejpam-6084	753	9	and	and	CCONJ
ejpam-6084	753	10	multiply	multiply	VERB
ejpam-6084	753	11	them	they	PRON
ejpam-6084	753	12	by	by	ADP
ejpam-6084	753	13	α2	α2	PROPN
ejpam-6084	753	14	,	,	PUNCT
ejpam-6084	753	15	respectively	respectively	ADV
ejpam-6084	753	16	,	,	PUNCT
ejpam-6084	753	17	we	we	PRON
ejpam-6084	753	18	get	get	VERB
ejpam-6084	753	19	α2ψ(α1)α2	α2ψ(α1)α2	PUNCT
ejpam-6084	753	20	=	=	SYM
ejpam-6084	753	21	0	0	X
ejpam-6084	753	22	.	.	PUNCT
ejpam-6084	754	1	lemma	lemma	PROPN
ejpam-6084	754	2	9	9	NUM
ejpam-6084	754	3	.	.	PUNCT
ejpam-6084	754	4	α1ψ(α1)α1	α1ψ(α1)α1	NUM
ejpam-6084	754	5	=	=	SYM
ejpam-6084	754	6	α2ψ(α2)α2	α2ψ(α2)α2	X
ejpam-6084	755	1	=	=	NOUN
ejpam-6084	755	2	0	0	X
ejpam-6084	755	3	.	.	PUNCT
ejpam-6084	755	4	proof	proof	NOUN
ejpam-6084	755	5	.	.	PUNCT
ejpam-6084	756	1	for	for	ADP
ejpam-6084	756	2	b12	b12	NOUN
ejpam-6084	756	3	∈	∈	NOUN
ejpam-6084	756	4	b12	b12	NOUN
ejpam-6084	756	5	,	,	PUNCT
ejpam-6084	756	6	we	we	PRON
ejpam-6084	756	7	have	have	VERB
ejpam-6084	756	8	2n−2b12	2n−2b12	NUM
ejpam-6084	756	9	=	=	SYM
ejpam-6084	756	10	qn(α1	qn(α1	X
ejpam-6084	756	11	,	,	PUNCT
ejpam-6084	756	12	α1	α1	PROPN
ejpam-6084	756	13	,	,	PUNCT
ejpam-6084	756	14	α1	α1	PROPN
ejpam-6084	756	15	,	,	PUNCT
ejpam-6084	756	16	.	.	PUNCT
ejpam-6084	756	17	.	.	PUNCT
ejpam-6084	757	1	.	.	PUNCT
ejpam-6084	758	1	,	,	PUNCT
ejpam-6084	758	2	α1	α1	PROPN
ejpam-6084	758	3	,	,	PUNCT
ejpam-6084	758	4	b12	b12	NOUN
ejpam-6084	758	5	)	)	PUNCT
ejpam-6084	758	6	and	and	CCONJ
ejpam-6084	758	7	using	use	VERB
ejpam-6084	758	8	lemma	lemma	PROPN
ejpam-6084	758	9	7	7	NUM
ejpam-6084	758	10	,	,	PUNCT
ejpam-6084	758	11	we	we	PRON
ejpam-6084	758	12	obtain	obtain	VERB
ejpam-6084	758	13	2n−2ψ(b12	2n−2ψ(b12	NUM
ejpam-6084	758	14	)	)	PUNCT
ejpam-6084	759	1	=	=	SYM
ejpam-6084	759	2	ψ(qn(α1	ψ(qn(α1	NOUN
ejpam-6084	759	3	,	,	PUNCT
ejpam-6084	759	4	α1	α1	PROPN
ejpam-6084	759	5	,	,	PUNCT
ejpam-6084	759	6	α1	α1	PROPN
ejpam-6084	759	7	,	,	PUNCT
ejpam-6084	759	8	.	.	PUNCT
ejpam-6084	759	9	.	.	PUNCT
ejpam-6084	759	10	.	.	PUNCT
ejpam-6084	760	1	,	,	PUNCT
ejpam-6084	760	2	α1	α1	PROPN
ejpam-6084	760	3	,	,	PUNCT
ejpam-6084	760	4	α1	α1	PROPN
ejpam-6084	760	5	,	,	PUNCT
ejpam-6084	760	6	b12	b12	NOUN
ejpam-6084	760	7	)	)	PUNCT
ejpam-6084	760	8	)	)	PUNCT
ejpam-6084	761	1	=	=	SYM
ejpam-6084	761	2	qn(ψ(α1	qn(ψ(α1	NOUN
ejpam-6084	761	3	)	)	PUNCT
ejpam-6084	761	4	,	,	PUNCT
ejpam-6084	761	5	α1	α1	PROPN
ejpam-6084	761	6	,	,	PUNCT
ejpam-6084	761	7	α1	α1	PROPN
ejpam-6084	761	8	,	,	PUNCT
ejpam-6084	761	9	.	.	PUNCT
ejpam-6084	761	10	.	.	PUNCT
ejpam-6084	761	11	.	.	PUNCT
ejpam-6084	762	1	,	,	PUNCT
ejpam-6084	762	2	α1	α1	PROPN
ejpam-6084	762	3	,	,	PUNCT
ejpam-6084	762	4	α1	α1	PROPN
ejpam-6084	762	5	,	,	PUNCT
ejpam-6084	762	6	b12	b12	NOUN
ejpam-6084	762	7	)	)	PUNCT
ejpam-6084	762	8	+	+	NOUN
ejpam-6084	762	9	qn(α1,ψ(α1	qn(α1,ψ(α1	NOUN
ejpam-6084	762	10	)	)	PUNCT
ejpam-6084	762	11	,	,	PUNCT
ejpam-6084	762	12	α1	α1	PROPN
ejpam-6084	762	13	,	,	PUNCT
ejpam-6084	762	14	.	.	PUNCT
ejpam-6084	762	15	.	.	PUNCT
ejpam-6084	763	1	.	.	PUNCT
ejpam-6084	764	1	,	,	PUNCT
ejpam-6084	764	2	α1	α1	PROPN
ejpam-6084	764	3	,	,	PUNCT
ejpam-6084	764	4	α1	α1	PROPN
ejpam-6084	764	5	,	,	PUNCT
ejpam-6084	764	6	b12	b12	NOUN
ejpam-6084	764	7	)	)	PUNCT
ejpam-6084	765	1	+	+	NOUN
ejpam-6084	765	2	qn(α1	qn(α1	NOUN
ejpam-6084	765	3	,	,	PUNCT
ejpam-6084	765	4	α1,ψ(α1	α1,ψ(α1	NUM
ejpam-6084	765	5	)	)	PUNCT
ejpam-6084	765	6	,	,	PUNCT
ejpam-6084	765	7	.	.	PUNCT
ejpam-6084	765	8	.	.	PUNCT
ejpam-6084	766	1	.	.	PUNCT
ejpam-6084	767	1	,	,	PUNCT
ejpam-6084	767	2	α1	α1	PROPN
ejpam-6084	767	3	,	,	PUNCT
ejpam-6084	767	4	α1	α1	PROPN
ejpam-6084	767	5	,	,	PUNCT
ejpam-6084	767	6	b12	b12	NOUN
ejpam-6084	767	7	)	)	PUNCT
ejpam-6084	767	8	+	+	CCONJ
ejpam-6084	767	9	·	·	PUNCT
ejpam-6084	767	10	·	·	PUNCT
ejpam-6084	767	11	·	·	PUNCT
ejpam-6084	768	1	+	+	NOUN
ejpam-6084	768	2	qn(α1	qn(α1	NOUN
ejpam-6084	768	3	,	,	PUNCT
ejpam-6084	768	4	α1	α1	PROPN
ejpam-6084	768	5	,	,	PUNCT
ejpam-6084	768	6	α1	α1	PROPN
ejpam-6084	768	7	,	,	PUNCT
ejpam-6084	768	8	.	.	PUNCT
ejpam-6084	768	9	.	.	PUNCT
ejpam-6084	768	10	.	.	PUNCT
ejpam-6084	769	1	,	,	PUNCT
ejpam-6084	769	2	ψ(α1	ψ(α1	NOUN
ejpam-6084	769	3	)	)	PUNCT
ejpam-6084	769	4	,	,	PUNCT
ejpam-6084	769	5	α1	α1	PROPN
ejpam-6084	769	6	,	,	PUNCT
ejpam-6084	769	7	b12	b12	NOUN
ejpam-6084	769	8	)	)	PUNCT
ejpam-6084	770	1	+	+	NOUN
ejpam-6084	770	2	qn(α1	qn(α1	NOUN
ejpam-6084	770	3	,	,	PUNCT
ejpam-6084	770	4	α1	α1	PROPN
ejpam-6084	770	5	,	,	PUNCT
ejpam-6084	770	6	α1	α1	PROPN
ejpam-6084	770	7	,	,	PUNCT
ejpam-6084	770	8	.	.	PUNCT
ejpam-6084	770	9	.	.	PUNCT
ejpam-6084	771	1	.	.	PUNCT
ejpam-6084	772	1	,	,	PUNCT
ejpam-6084	772	2	α1,ψ(α1	α1,ψ(α1	NUM
ejpam-6084	772	3	)	)	PUNCT
ejpam-6084	772	4	,	,	PUNCT
ejpam-6084	772	5	b12	b12	NOUN
ejpam-6084	772	6	)	)	PUNCT
ejpam-6084	773	1	+	+	NOUN
ejpam-6084	773	2	qn(α1	qn(α1	NOUN
ejpam-6084	773	3	,	,	PUNCT
ejpam-6084	773	4	α1	α1	PROPN
ejpam-6084	773	5	,	,	PUNCT
ejpam-6084	773	6	α1	α1	PROPN
ejpam-6084	773	7	,	,	PUNCT
ejpam-6084	773	8	.	.	PUNCT
ejpam-6084	773	9	.	.	PUNCT
ejpam-6084	774	1	.	.	PUNCT
ejpam-6084	775	1	,	,	PUNCT
ejpam-6084	775	2	α1	α1	PROPN
ejpam-6084	775	3	,	,	PUNCT
ejpam-6084	775	4	α1	α1	PROPN
ejpam-6084	775	5	,	,	PUNCT
ejpam-6084	775	6	ψ(b12	ψ(b12	NOUN
ejpam-6084	775	7	)	)	PUNCT
ejpam-6084	775	8	)	)	PUNCT
ejpam-6084	776	1	=	=	SYM
ejpam-6084	776	2	ψ(α1)α1b12	ψ(α1)α1b12	NOUN
ejpam-6084	777	1	+	+	CCONJ
ejpam-6084	777	2	(	(	PUNCT
ejpam-6084	777	3	2n−2	2n−2	NUM
ejpam-6084	777	4	−	−	PROPN
ejpam-6084	777	5	2){α1ψ(α1)α1b12}+	2){α1ψ(α1)α1b12}+	NUM
ejpam-6084	777	6	α1ψ(α1)b12	α1ψ(α1)b12	NOUN
ejpam-6084	777	7	+	+	NOUN
ejpam-6084	777	8	b12ψ(α1	b12ψ(α1	NOUN
ejpam-6084	777	9	)	)	PUNCT
ejpam-6084	777	10	∅	∅	NOUN
ejpam-6084	777	11	α1	α1	PROPN
ejpam-6084	777	12	+	+	NOUN
ejpam-6084	777	13	ψ(α1)α1b12	ψ(α1)α1b12	NOUN
ejpam-6084	777	14	+	+	CCONJ
ejpam-6084	777	15	(	(	PUNCT
ejpam-6084	777	16	2n−2	2n−2	NUM
ejpam-6084	777	17	−	−	PROPN
ejpam-6084	777	18	2){α1ψ(α1)α1b12}+	2){α1ψ(α1)α1b12}+	NUM
ejpam-6084	777	19	α1ψ(α1)b12	α1ψ(α1)b12	NOUN
ejpam-6084	777	20	+	+	CCONJ
ejpam-6084	777	21	b12ψ(α1	b12ψ(α1	NOUN
ejpam-6084	777	22	)	)	PUNCT
ejpam-6084	777	23	∅α1	∅α1	NOUN
ejpam-6084	777	24	+	+	CCONJ
ejpam-6084	778	1	2ψ(α1)α1b12	2ψ(α1)α1b12	NUM
ejpam-6084	778	2	+	+	CCONJ
ejpam-6084	778	3	(	(	PUNCT
ejpam-6084	778	4	2n−2	2n−2	NUM
ejpam-6084	778	5	−	−	PROPN
ejpam-6084	778	6	4){α1ψ(α1)α1b12}+	4){α1ψ(α1)α1b12}+	NUM
ejpam-6084	778	7	2α1ψ(α1	2α1ψ(α1	NOUN
ejpam-6084	778	8	)	)	PUNCT
ejpam-6084	778	9	b12	b12	NOUN
ejpam-6084	778	10	+	+	NOUN
ejpam-6084	778	11	2b12ψ(α1	2b12ψ(α1	NUM
ejpam-6084	778	12	)	)	PUNCT
ejpam-6084	778	13	∅α1	∅α1	NOUN
ejpam-6084	778	14	+	+	CCONJ
ejpam-6084	778	15	·	·	PUNCT
ejpam-6084	778	16	·	·	PUNCT
ejpam-6084	778	17	·	·	PUNCT
ejpam-6084	779	1	+	+	NUM
ejpam-6084	779	2	2n−4ψ(α1)α1b12	2n−4ψ(α1)α1b12	NOUN
ejpam-6084	779	3	+	+	CCONJ
ejpam-6084	779	4	(	(	PUNCT
ejpam-6084	779	5	2n−2	2n−2	NUM
ejpam-6084	779	6	−	−	NOUN
ejpam-6084	779	7	2n−3	2n−3	NUM
ejpam-6084	779	8	)	)	PUNCT
ejpam-6084	779	9	{	{	PUNCT
ejpam-6084	779	10	α1ψ(α1)α1b12}+	α1ψ(α1)α1b12}+	PROPN
ejpam-6084	779	11	2n−4α1ψ(α1)b12	2n−4α1ψ(α1)b12	PROPN
ejpam-6084	779	12	+	+	CCONJ
ejpam-6084	779	13	2n−4b12ψ(α1	2n−4b12ψ(α1	NUM
ejpam-6084	779	14	)	)	PUNCT
ejpam-6084	779	15	∅α1	∅α1	NOUN
ejpam-6084	779	16	+	+	PUNCT
ejpam-6084	780	1	2n−3α1ψ(α1)b12	2n−3α1ψ(α1)b12	PROPN
ejpam-6084	780	2	+	+	NUM
ejpam-6084	780	3	2n−3ψ(α1)α1b12	2n−3ψ(α1)α1b12	NUM
ejpam-6084	780	4	+	+	CCONJ
ejpam-6084	780	5	2n−3b12ψ(α1	2n−3b12ψ(α1	NUM
ejpam-6084	780	6	)	)	PUNCT
ejpam-6084	780	7	∅α1	∅α1	NOUN
ejpam-6084	780	8	+	+	CCONJ
ejpam-6084	780	9	2n−2α1ψ(b12	2n−2α1ψ(b12	NUM
ejpam-6084	780	10	)	)	PUNCT
ejpam-6084	780	11	+	+	NUM
ejpam-6084	780	12	2n−2ψ(b12)α1	2n−2ψ(b12)α1	NOUN
ejpam-6084	780	13	.	.	PUNCT
ejpam-6084	781	1	multiplying	multiply	VERB
ejpam-6084	781	2	both	both	DET
ejpam-6084	781	3	sides	side	NOUN
ejpam-6084	781	4	by	by	ADP
ejpam-6084	781	5	α1	α1	PROPN
ejpam-6084	781	6	and	and	CCONJ
ejpam-6084	781	7	α2	α2	ADJ
ejpam-6084	781	8	from	from	ADP
ejpam-6084	781	9	left	left	ADJ
ejpam-6084	781	10	and	and	CCONJ
ejpam-6084	781	11	right	right	ADJ
ejpam-6084	781	12	,	,	PUNCT
ejpam-6084	781	13	respectively	respectively	ADV
ejpam-6084	781	14	and	and	CCONJ
ejpam-6084	781	15	using	use	VERB
ejpam-6084	781	16	2	2	NUM
ejpam-6084	781	17	-	-	PUNCT
ejpam-6084	781	18	torsion	torsion	NOUN
ejpam-6084	781	19	freeness	freeness	NOUN
ejpam-6084	781	20	of	of	ADP
ejpam-6084	781	21	b.	b.	PROPN
ejpam-6084	781	22	we	we	PRON
ejpam-6084	781	23	obtain	obtain	VERB
ejpam-6084	781	24	α1ψ(α1)α1b12	α1ψ(α1)α1b12	ADJ
ejpam-6084	781	25	=	=	SYM
ejpam-6084	781	26	0	0	NUM
ejpam-6084	781	27	,	,	PUNCT
ejpam-6084	781	28	implies	imply	VERB
ejpam-6084	781	29	α1ψ(α1)α1sα2	α1ψ(α1)α1sα2	X
ejpam-6084	781	30	=	=	SYM
ejpam-6084	781	31	0	0	NUM
ejpam-6084	781	32	for	for	ADP
ejpam-6084	781	33	all	all	DET
ejpam-6084	781	34	s	s	PROPN
ejpam-6084	781	35	∈	∈	PROPN
ejpam-6084	781	36	b.	b.	NOUN
ejpam-6084	781	37	it	it	PRON
ejpam-6084	781	38	follows	follow	VERB
ejpam-6084	781	39	from	from	ADP
ejpam-6084	781	40	(	(	PUNCT
ejpam-6084	781	41	♠	♠	NOUN
ejpam-6084	781	42	)	)	PUNCT
ejpam-6084	781	43	that	that	SCONJ
ejpam-6084	781	44	α1ψ(α1)α1	α1ψ(α1)α1	AUX
ejpam-6084	782	1	=	=	SYM
ejpam-6084	782	2	0	0	X
ejpam-6084	782	3	.	.	PUNCT
ejpam-6084	783	1	similarly	similarly	ADV
ejpam-6084	783	2	,	,	PUNCT
ejpam-6084	783	3	we	we	PRON
ejpam-6084	783	4	can	can	AUX
ejpam-6084	783	5	prove	prove	VERB
ejpam-6084	783	6	that	that	PRON
ejpam-6084	783	7	α2ψ(α2)α2	α2ψ(α2)α2	NOUN
ejpam-6084	784	1	=	=	NOUN
ejpam-6084	784	2	0	0	X
ejpam-6084	784	3	.	.	PUNCT
ejpam-6084	785	1	md	md	PROPN
ejpam-6084	785	2	arshad	arshad	PROPN
ejpam-6084	785	3	madni	madni	PROPN
ejpam-6084	785	4	et	et	PROPN
ejpam-6084	785	5	al	al	PROPN
ejpam-6084	785	6	.	.	PUNCT
ejpam-6084	785	7	/	/	SYM
ejpam-6084	785	8	eur	eur	PROPN
ejpam-6084	785	9	.	.	PUNCT
ejpam-6084	786	1	j.	j.	PROPN
ejpam-6084	786	2	pure	pure	PROPN
ejpam-6084	786	3	appl	appl	PROPN
ejpam-6084	786	4	.	.	PROPN
ejpam-6084	786	5	math	math	PROPN
ejpam-6084	786	6	,	,	PUNCT
ejpam-6084	786	7	18	18	NUM
ejpam-6084	786	8	(	(	PUNCT
ejpam-6084	786	9	2	2	NUM
ejpam-6084	786	10	)	)	PUNCT
ejpam-6084	786	11	(	(	PUNCT
ejpam-6084	786	12	2025	2025	NUM
ejpam-6084	786	13	)	)	PUNCT
ejpam-6084	786	14	,	,	PUNCT
ejpam-6084	786	15	6084	6084	NUM
ejpam-6084	786	16	11	11	NUM
ejpam-6084	786	17	of	of	ADP
ejpam-6084	786	18	16	16	NUM
ejpam-6084	786	19	lemma	lemma	PROPN
ejpam-6084	786	20	10	10	NUM
ejpam-6084	786	21	.	.	PUNCT
ejpam-6084	787	1	ψ(u	ψ(u	NOUN
ejpam-6084	787	2	)	)	PUNCT
ejpam-6084	788	1	=	=	PUNCT
ejpam-6084	788	2	0	0	X
ejpam-6084	788	3	.	.	PUNCT
ejpam-6084	789	1	proof	proof	NOUN
ejpam-6084	789	2	.	.	PUNCT
ejpam-6084	790	1	applying	apply	VERB
ejpam-6084	790	2	the	the	DET
ejpam-6084	790	3	last	last	ADJ
ejpam-6084	790	4	three	three	NUM
ejpam-6084	790	5	lemmas	lemmas	ADJ
ejpam-6084	790	6	to	to	PART
ejpam-6084	790	7	get	get	VERB
ejpam-6084	790	8	the	the	DET
ejpam-6084	790	9	desired	desire	VERB
ejpam-6084	790	10	outcome	outcome	NOUN
ejpam-6084	790	11	.	.	PUNCT
ejpam-6084	791	1	lemma	lemma	PROPN
ejpam-6084	791	2	11	11	NUM
ejpam-6084	791	3	.	.	PUNCT
ejpam-6084	792	1	for	for	ADP
ejpam-6084	792	2	every	every	DET
ejpam-6084	792	3	s	s	PROPN
ejpam-6084	792	4	∈	∈	PROPN
ejpam-6084	792	5	b	b	PROPN
ejpam-6084	792	6	,	,	PUNCT
ejpam-6084	792	7	ψ(s∅	ψ(s∅	ADJ
ejpam-6084	792	8	)	)	PUNCT
ejpam-6084	792	9	=	=	NOUN
ejpam-6084	792	10	ψ(s)∅.	ψ(s)∅.	NOUN
ejpam-6084	792	11	proof	proof	NOUN
ejpam-6084	792	12	.	.	PUNCT
ejpam-6084	793	1	notice	notice	VERB
ejpam-6084	793	2	that	that	SCONJ
ejpam-6084	793	3	qn(u	qn(u	NOUN
ejpam-6084	793	4	,	,	PUNCT
ejpam-6084	793	5	u	u	NOUN
ejpam-6084	793	6	,	,	PUNCT
ejpam-6084	793	7	.	.	PUNCT
ejpam-6084	793	8	.	.	PUNCT
ejpam-6084	794	1	.	.	PUNCT
ejpam-6084	795	1	,	,	PUNCT
ejpam-6084	795	2	s	s	X
ejpam-6084	795	3	,	,	PUNCT
ejpam-6084	795	4	u	u	NOUN
ejpam-6084	795	5	)	)	PUNCT
ejpam-6084	795	6	=	=	PUNCT
ejpam-6084	796	1	2n−2(s	2n−2(s	NUM
ejpam-6084	796	2	+	+	NOUN
ejpam-6084	796	3	s∅	s∅	ADJ
ejpam-6084	796	4	)	)	PUNCT
ejpam-6084	796	5	,	,	PUNCT
ejpam-6084	796	6	for	for	SCONJ
ejpam-6084	796	7	all	all	DET
ejpam-6084	796	8	s	s	PROPN
ejpam-6084	796	9	∈	∈	PROPN
ejpam-6084	796	10	b.	b.	PROPN
ejpam-6084	796	11	apply	apply	VERB
ejpam-6084	796	12	lemmas	lemmas	PROPN
ejpam-6084	796	13	7	7	NUM
ejpam-6084	796	14	,	,	PUNCT
ejpam-6084	796	15	10	10	NUM
ejpam-6084	796	16	and	and	CCONJ
ejpam-6084	796	17	using	use	VERB
ejpam-6084	796	18	the	the	DET
ejpam-6084	796	19	condition	condition	NOUN
ejpam-6084	796	20	that	that	SCONJ
ejpam-6084	796	21	rings	ring	NOUN
ejpam-6084	796	22	b	b	PROPN
ejpam-6084	796	23	is	be	AUX
ejpam-6084	796	24	2	2	NUM
ejpam-6084	796	25	-	-	PUNCT
ejpam-6084	796	26	torsion	torsion	NOUN
ejpam-6084	796	27	free	free	ADJ
ejpam-6084	796	28	to	to	PART
ejpam-6084	796	29	get	get	VERB
ejpam-6084	796	30	2n−2(ψ(s	2n−2(ψ(s	NUM
ejpam-6084	796	31	)	)	PUNCT
ejpam-6084	797	1	+	+	CCONJ
ejpam-6084	797	2	ψ(s∅	ψ(s∅	NOUN
ejpam-6084	797	3	)	)	PUNCT
ejpam-6084	797	4	)	)	PUNCT
ejpam-6084	798	1	=	=	PUNCT
ejpam-6084	798	2	ψ(qn(u	ψ(qn(u	NOUN
ejpam-6084	798	3	,	,	PUNCT
ejpam-6084	798	4	u	u	NOUN
ejpam-6084	798	5	,	,	PUNCT
ejpam-6084	798	6	.	.	PUNCT
ejpam-6084	798	7	.	.	PUNCT
ejpam-6084	798	8	.	.	PUNCT
ejpam-6084	799	1	,	,	PUNCT
ejpam-6084	799	2	s	s	X
ejpam-6084	799	3	,	,	PUNCT
ejpam-6084	799	4	u	u	NOUN
ejpam-6084	799	5	,	,	PUNCT
ejpam-6084	799	6	u	u	NOUN
ejpam-6084	799	7	)	)	PUNCT
ejpam-6084	799	8	)	)	PUNCT
ejpam-6084	800	1	=	=	SYM
ejpam-6084	800	2	qn(u	qn(u	NOUN
ejpam-6084	800	3	,	,	PUNCT
ejpam-6084	800	4	u	u	NOUN
ejpam-6084	800	5	,	,	PUNCT
ejpam-6084	800	6	.	.	PUNCT
ejpam-6084	800	7	.	.	PUNCT
ejpam-6084	800	8	.	.	PUNCT
ejpam-6084	801	1	,	,	PUNCT
ejpam-6084	801	2	ψ(s	ψ(s	PROPN
ejpam-6084	801	3	)	)	PUNCT
ejpam-6084	801	4	,	,	PUNCT
ejpam-6084	801	5	u	u	NOUN
ejpam-6084	801	6	,	,	PUNCT
ejpam-6084	801	7	u	u	NOUN
ejpam-6084	801	8	)	)	PUNCT
ejpam-6084	801	9	=	=	SYM
ejpam-6084	801	10	2n−2(ψ(s	2n−2(ψ(s	NUM
ejpam-6084	801	11	)	)	PUNCT
ejpam-6084	801	12	+	+	CCONJ
ejpam-6084	801	13	ψ(s)∅	ψ(s)∅	PROPN
ejpam-6084	801	14	)	)	PUNCT
ejpam-6084	801	15	which	which	PRON
ejpam-6084	801	16	implies	imply	VERB
ejpam-6084	801	17	ψ(s∅	ψ(s∅	NOUN
ejpam-6084	801	18	)	)	PUNCT
ejpam-6084	802	1	=	=	NOUN
ejpam-6084	802	2	ψ(s)∅.	ψ(s)∅.	ADV
ejpam-6084	802	3	now	now	ADV
ejpam-6084	802	4	,	,	PUNCT
ejpam-6084	802	5	let	let	VERB
ejpam-6084	802	6	m	m	VERB
ejpam-6084	802	7	=	=	SYM
ejpam-6084	802	8	α1ψ(α1)α2	α1ψ(α1)α2	ADJ
ejpam-6084	802	9	−	−	PROPN
ejpam-6084	802	10	α2ψ(α1)α1	α2ψ(α1)α1	NUM
ejpam-6084	802	11	,	,	PUNCT
ejpam-6084	802	12	then	then	ADV
ejpam-6084	802	13	m∅	m∅	NOUN
ejpam-6084	802	14	=	=	PUNCT
ejpam-6084	802	15	−m	−m	PROPN
ejpam-6084	802	16	.	.	PUNCT
ejpam-6084	803	1	define	define	VERB
ejpam-6084	803	2	a	a	DET
ejpam-6084	803	3	mapping	mapping	NOUN
ejpam-6084	803	4	ζ	ζ	NOUN
ejpam-6084	803	5	:	:	PUNCT
ejpam-6084	803	6	b	b	X
ejpam-6084	803	7	→	→	SYM
ejpam-6084	803	8	b	b	NOUN
ejpam-6084	803	9	by	by	ADP
ejpam-6084	803	10	ζ(l	ζ(l	NUM
ejpam-6084	803	11	)	)	PUNCT
ejpam-6084	803	12	=	=	SYM
ejpam-6084	803	13	ψ(l	ψ(l	ADJ
ejpam-6084	803	14	)	)	PUNCT
ejpam-6084	803	15	−	−	PROPN
ejpam-6084	804	1	(	(	PUNCT
ejpam-6084	804	2	lm	lm	INTJ
ejpam-6084	804	3	−	−	PROPN
ejpam-6084	804	4	ml	ml	NOUN
ejpam-6084	804	5	)	)	PUNCT
ejpam-6084	804	6	for	for	ADP
ejpam-6084	804	7	every	every	DET
ejpam-6084	804	8	l	l	PROPN
ejpam-6084	804	9	∈	∈	PROPN
ejpam-6084	804	10	b.	b.	NOUN
ejpam-6084	805	1	it	it	PRON
ejpam-6084	805	2	is	be	AUX
ejpam-6084	805	3	simple	simple	ADJ
ejpam-6084	805	4	to	to	PART
ejpam-6084	805	5	confirm	confirm	VERB
ejpam-6084	805	6	that	that	DET
ejpam-6084	805	7	ζ(qn(l1	ζ(qn(l1	PROPN
ejpam-6084	805	8	,	,	PUNCT
ejpam-6084	805	9	l2	l2	NOUN
ejpam-6084	805	10	,	,	PUNCT
ejpam-6084	805	11	.	.	PUNCT
ejpam-6084	805	12	.	.	PUNCT
ejpam-6084	805	13	.	.	PUNCT
ejpam-6084	806	1	,	,	PUNCT
ejpam-6084	806	2	ln	ln	ADJ
ejpam-6084	806	3	)	)	PUNCT
ejpam-6084	806	4	)	)	PUNCT
ejpam-6084	807	1	=	=	SYM
ejpam-6084	808	1	∑n	∑n	PROPN
ejpam-6084	808	2	i=1qn(l1	i=1qn(l1	NOUN
ejpam-6084	808	3	,	,	PUNCT
ejpam-6084	808	4	.	.	PUNCT
ejpam-6084	808	5	.	.	PUNCT
ejpam-6084	808	6	.	.	PUNCT
ejpam-6084	809	1	,	,	PUNCT
ejpam-6084	809	2	li−1	li−1	PROPN
ejpam-6084	809	3	,	,	PUNCT
ejpam-6084	809	4	ζ(li	ζ(li	NOUN
ejpam-6084	809	5	)	)	PUNCT
ejpam-6084	809	6	,	,	PUNCT
ejpam-6084	809	7	li+1	li+1	PROPN
ejpam-6084	809	8	,	,	PUNCT
ejpam-6084	809	9	.	.	PUNCT
ejpam-6084	809	10	.	.	PUNCT
ejpam-6084	810	1	.	.	PUNCT
ejpam-6084	811	1	,	,	PUNCT
ejpam-6084	811	2	ln	ln	X
ejpam-6084	811	3	)	)	PUNCT
ejpam-6084	811	4	for	for	ADP
ejpam-6084	811	5	all	all	DET
ejpam-6084	811	6	l1	l1	PROPN
ejpam-6084	811	7	,	,	PUNCT
ejpam-6084	811	8	l2	l2	NOUN
ejpam-6084	811	9	,	,	PUNCT
ejpam-6084	811	10	.	.	PUNCT
ejpam-6084	811	11	.	.	PUNCT
ejpam-6084	812	1	.	.	PUNCT
ejpam-6084	813	1	,	,	PUNCT
ejpam-6084	813	2	ln	ln	PROPN
ejpam-6084	813	3	∈	∈	PROPN
ejpam-6084	813	4	b	b	PROPN
ejpam-6084	813	5	,	,	PUNCT
ejpam-6084	813	6	remark	remark	NOUN
ejpam-6084	813	7	2.1	2.1	NUM
ejpam-6084	813	8	.	.	PUNCT
ejpam-6084	814	1	ζ	ζ	NOUN
ejpam-6084	814	2	possesses	possess	VERB
ejpam-6084	814	3	the	the	DET
ejpam-6084	814	4	following	follow	VERB
ejpam-6084	814	5	behaviors	behavior	NOUN
ejpam-6084	814	6	(	(	PUNCT
ejpam-6084	814	7	a	a	PRON
ejpam-6084	814	8	)	)	PUNCT
ejpam-6084	814	9	ζ(l∅	ζ(l∅	NOUN
ejpam-6084	814	10	)	)	PUNCT
ejpam-6084	814	11	and	and	CCONJ
ejpam-6084	814	12	ζ(l)∅	ζ(l)∅	PROPN
ejpam-6084	814	13	identical	identical	ADJ
ejpam-6084	814	14	.	.	PUNCT
ejpam-6084	815	1	(	(	PUNCT
ejpam-6084	815	2	b	b	X
ejpam-6084	815	3	)	)	PUNCT
ejpam-6084	815	4	ζ	ζ	NOUN
ejpam-6084	815	5	is	be	AUX
ejpam-6084	815	6	additive	additive	ADJ
ejpam-6084	815	7	.	.	PUNCT
ejpam-6084	816	1	(	(	PUNCT
ejpam-6084	816	2	c	c	X
ejpam-6084	816	3	)	)	PUNCT
ejpam-6084	816	4	ζ(α1	ζ(α1	NOUN
ejpam-6084	816	5	)	)	PUNCT
ejpam-6084	816	6	and	and	CCONJ
ejpam-6084	816	7	ζ(α2	ζ(α2	PRON
ejpam-6084	816	8	)	)	PUNCT
ejpam-6084	816	9	are	be	AUX
ejpam-6084	816	10	vanish	vanish	VERB
ejpam-6084	816	11	.	.	PUNCT
ejpam-6084	817	1	(	(	PUNCT
ejpam-6084	817	2	d	d	X
ejpam-6084	817	3	)	)	PUNCT
ejpam-6084	817	4	ζ(u	ζ(u	NOUN
ejpam-6084	817	5	)	)	PUNCT
ejpam-6084	817	6	is	be	AUX
ejpam-6084	817	7	zero	zero	NUM
ejpam-6084	817	8	.	.	PUNCT
ejpam-6084	818	1	(	(	PUNCT
ejpam-6084	818	2	e	e	X
ejpam-6084	818	3	)	)	PUNCT
ejpam-6084	818	4	ζ	ζ	NOUN
ejpam-6084	818	5	is	be	AUX
ejpam-6084	818	6	a	a	DET
ejpam-6084	818	7	∅-derivation	∅-derivation	NOUN
ejpam-6084	818	8	iff	iff	NOUN
ejpam-6084	818	9	ψ	ψ	NOUN
ejpam-6084	818	10	is	be	AUX
ejpam-6084	818	11	a	a	DET
ejpam-6084	818	12	∅-derivation	∅-derivation	NOUN
ejpam-6084	818	13	.	.	PUNCT
ejpam-6084	819	1	lemma	lemma	PROPN
ejpam-6084	819	2	12	12	NUM
ejpam-6084	819	3	.	.	PUNCT
ejpam-6084	820	1	ζ(aij	ζ(aij	PROPN
ejpam-6084	820	2	)	)	PUNCT
ejpam-6084	821	1	⊆	⊆	NUM
ejpam-6084	821	2	aij	aij	PROPN
ejpam-6084	821	3	i	i	PROPN
ejpam-6084	821	4	,	,	PUNCT
ejpam-6084	821	5	j=1,2	j=1,2	PROPN
ejpam-6084	821	6	.	.	PUNCT
ejpam-6084	822	1	proof	proof	NOUN
ejpam-6084	822	2	.	.	PUNCT
ejpam-6084	823	1	from	from	ADP
ejpam-6084	823	2	qn(u	qn(u	NOUN
ejpam-6084	823	3	,	,	PUNCT
ejpam-6084	823	4	u	u	NOUN
ejpam-6084	823	5	,	,	PUNCT
ejpam-6084	823	6	.	.	PUNCT
ejpam-6084	823	7	.	.	PUNCT
ejpam-6084	823	8	.	.	PUNCT
ejpam-6084	824	1	,	,	PUNCT
ejpam-6084	824	2	u	u	NOUN
ejpam-6084	824	3	,	,	PUNCT
ejpam-6084	824	4	α1	α1	PROPN
ejpam-6084	824	5	,	,	PUNCT
ejpam-6084	824	6	a12	a12	NUM
ejpam-6084	824	7	)	)	PUNCT
ejpam-6084	824	8	=	=	SYM
ejpam-6084	824	9	2n−2a12	2n−2a12	NUM
ejpam-6084	824	10	and	and	CCONJ
ejpam-6084	824	11	the	the	DET
ejpam-6084	824	12	above	above	ADJ
ejpam-6084	824	13	remark	remark	NOUN
ejpam-6084	824	14	,	,	PUNCT
ejpam-6084	824	15	we	we	PRON
ejpam-6084	824	16	get	get	VERB
ejpam-6084	824	17	2n−2ζ(a12	2n−2ζ(a12	NUM
ejpam-6084	824	18	)	)	PUNCT
ejpam-6084	825	1	=	=	PUNCT
ejpam-6084	825	2	ζ(qn(u	ζ(qn(u	PROPN
ejpam-6084	825	3	,	,	PUNCT
ejpam-6084	825	4	u	u	NOUN
ejpam-6084	825	5	,	,	PUNCT
ejpam-6084	825	6	.	.	PUNCT
ejpam-6084	825	7	.	.	PUNCT
ejpam-6084	825	8	.	.	PUNCT
ejpam-6084	826	1	,	,	PUNCT
ejpam-6084	826	2	u	u	NOUN
ejpam-6084	826	3	,	,	PUNCT
ejpam-6084	826	4	α1	α1	PROPN
ejpam-6084	826	5	,	,	PUNCT
ejpam-6084	826	6	a12	a12	NOUN
ejpam-6084	826	7	)	)	PUNCT
ejpam-6084	826	8	)	)	PUNCT
ejpam-6084	827	1	=	=	SYM
ejpam-6084	827	2	qn(u	qn(u	NOUN
ejpam-6084	827	3	,	,	PUNCT
ejpam-6084	827	4	u	u	NOUN
ejpam-6084	827	5	,	,	PUNCT
ejpam-6084	827	6	.	.	PUNCT
ejpam-6084	827	7	.	.	PUNCT
ejpam-6084	827	8	.	.	PUNCT
ejpam-6084	827	9	,	,	PUNCT
ejpam-6084	827	10	u	u	NOUN
ejpam-6084	827	11	,	,	PUNCT
ejpam-6084	827	12	α1	α1	PROPN
ejpam-6084	827	13	,	,	PUNCT
ejpam-6084	827	14	ζ(a12	ζ(a12	NOUN
ejpam-6084	827	15	)	)	PUNCT
ejpam-6084	827	16	=	=	SYM
ejpam-6084	827	17	2n−2{α1ζ(a12	2n−2{α1ζ(a12	NUM
ejpam-6084	827	18	)	)	PUNCT
ejpam-6084	828	1	+	+	CCONJ
ejpam-6084	828	2	ζ(a12)α1	ζ(a12)α1	ADJ
ejpam-6084	828	3	}	}	PUNCT
ejpam-6084	828	4	.	.	PUNCT
ejpam-6084	829	1	this	this	PRON
ejpam-6084	829	2	implies	imply	VERB
ejpam-6084	829	3	that	that	SCONJ
ejpam-6084	829	4	α1ζ(a12)α1	α1ζ(a12)α1	VERB
ejpam-6084	829	5	=	=	SYM
ejpam-6084	829	6	0	0	NUM
ejpam-6084	829	7	and	and	CCONJ
ejpam-6084	829	8	α2ζ(a12)α2	α2ζ(a12)α2	NUM
ejpam-6084	829	9	=	=	SYM
ejpam-6084	829	10	0	0	NUM
ejpam-6084	829	11	,	,	PUNCT
ejpam-6084	829	12	applying	apply	VERB
ejpam-6084	829	13	qn(u	qn(u	NOUN
ejpam-6084	829	14	,	,	PUNCT
ejpam-6084	829	15	u	u	NOUN
ejpam-6084	829	16	,	,	PUNCT
ejpam-6084	829	17	.	.	PUNCT
ejpam-6084	829	18	.	.	PUNCT
ejpam-6084	830	1	.	.	PUNCT
ejpam-6084	831	1	,	,	PUNCT
ejpam-6084	831	2	u	u	NOUN
ejpam-6084	831	3	,	,	PUNCT
ejpam-6084	831	4	a12	a12	NOUN
ejpam-6084	831	5	,	,	PUNCT
ejpam-6084	831	6	α1	α1	PROPN
ejpam-6084	831	7	)	)	PUNCT
ejpam-6084	831	8	=	=	SYM
ejpam-6084	831	9	0	0	NUM
ejpam-6084	831	10	and	and	CCONJ
ejpam-6084	831	11	the	the	DET
ejpam-6084	831	12	last	last	ADJ
ejpam-6084	831	13	remark	remark	NOUN
ejpam-6084	831	14	2.1	2.1	NUM
ejpam-6084	831	15	,	,	PUNCT
ejpam-6084	831	16	we	we	PRON
ejpam-6084	831	17	find	find	VERB
ejpam-6084	831	18	0	0	NUM
ejpam-6084	832	1	=	=	SYM
ejpam-6084	832	2	ζ(qn(u	ζ(qn(u	PROPN
ejpam-6084	832	3	,	,	PUNCT
ejpam-6084	832	4	u	u	NOUN
ejpam-6084	832	5	,	,	PUNCT
ejpam-6084	832	6	.	.	PUNCT
ejpam-6084	832	7	.	.	PUNCT
ejpam-6084	833	1	.	.	PUNCT
ejpam-6084	834	1	,	,	PUNCT
ejpam-6084	834	2	u	u	NOUN
ejpam-6084	834	3	,	,	PUNCT
ejpam-6084	834	4	a12	a12	NOUN
ejpam-6084	834	5	,	,	PUNCT
ejpam-6084	834	6	α1	α1	PROPN
ejpam-6084	834	7	)	)	PUNCT
ejpam-6084	834	8	)	)	PUNCT
ejpam-6084	835	1	=	=	SYM
ejpam-6084	835	2	qn(u	qn(u	NOUN
ejpam-6084	835	3	,	,	PUNCT
ejpam-6084	835	4	u	u	NOUN
ejpam-6084	835	5	,	,	PUNCT
ejpam-6084	835	6	.	.	PUNCT
ejpam-6084	835	7	.	.	PUNCT
ejpam-6084	835	8	.	.	PUNCT
ejpam-6084	836	1	,	,	PUNCT
ejpam-6084	836	2	u	u	NOUN
ejpam-6084	836	3	,	,	PUNCT
ejpam-6084	836	4	ζ(a12	ζ(a12	NOUN
ejpam-6084	836	5	)	)	PUNCT
ejpam-6084	836	6	,	,	PUNCT
ejpam-6084	836	7	α1	α1	PROPN
ejpam-6084	836	8	)	)	PUNCT
ejpam-6084	836	9	=	=	SYM
ejpam-6084	836	10	2n−2{ζ(a12)α1	2n−2{ζ(a12)α1	NOUN
ejpam-6084	836	11	+	+	SYM
ejpam-6084	836	12	α1ζ(a12	α1ζ(a12	NOUN
ejpam-6084	836	13	)	)	PUNCT
ejpam-6084	836	14	∅	∅	NOUN
ejpam-6084	836	15	}	}	PUNCT
ejpam-6084	836	16	.	.	PUNCT
ejpam-6084	837	1	this	this	PRON
ejpam-6084	837	2	implies	imply	VERB
ejpam-6084	837	3	that	that	SCONJ
ejpam-6084	837	4	α2ζ(a12)α1	α2ζ(a12)α1	NOUN
ejpam-6084	837	5	=	=	SYM
ejpam-6084	837	6	0	0	NUM
ejpam-6084	837	7	,	,	PUNCT
ejpam-6084	837	8	thus	thus	ADV
ejpam-6084	837	9	ζ(a12	ζ(a12	NOUN
ejpam-6084	837	10	)	)	PUNCT
ejpam-6084	837	11	⊆	⊆	NUM
ejpam-6084	837	12	a12	a12	NOUN
ejpam-6084	837	13	.	.	PUNCT
ejpam-6084	838	1	similarly	similarly	ADV
ejpam-6084	838	2	,	,	PUNCT
ejpam-6084	838	3	we	we	PRON
ejpam-6084	838	4	can	can	AUX
ejpam-6084	838	5	show	show	VERB
ejpam-6084	838	6	that	that	SCONJ
ejpam-6084	838	7	ζ(a21	ζ(a21	ADJ
ejpam-6084	838	8	)	)	PUNCT
ejpam-6084	838	9	⊆	⊆	NUM
ejpam-6084	838	10	a21	a21	NOUN
ejpam-6084	838	11	.	.	PUNCT
ejpam-6084	839	1	similar	similar	ADJ
ejpam-6084	839	2	as	as	ADP
ejpam-6084	839	3	last	last	ADJ
ejpam-6084	839	4	two	two	NUM
ejpam-6084	839	5	steps	step	NOUN
ejpam-6084	839	6	,	,	PUNCT
ejpam-6084	839	7	0	0	NUM
ejpam-6084	839	8	=	=	SYM
ejpam-6084	839	9	ζ(qn(u	ζ(qn(u	PROPN
ejpam-6084	839	10	,	,	PUNCT
ejpam-6084	839	11	u	u	NOUN
ejpam-6084	839	12	,	,	PUNCT
ejpam-6084	839	13	.	.	PUNCT
ejpam-6084	839	14	.	.	PUNCT
ejpam-6084	840	1	.	.	PUNCT
ejpam-6084	841	1	,	,	PUNCT
ejpam-6084	841	2	u	u	NOUN
ejpam-6084	841	3	,	,	PUNCT
ejpam-6084	841	4	α2	α2	PROPN
ejpam-6084	841	5	,	,	PUNCT
ejpam-6084	841	6	a11	a11	PROPN
ejpam-6084	841	7	)	)	PUNCT
ejpam-6084	841	8	)	)	PUNCT
ejpam-6084	842	1	md	md	PROPN
ejpam-6084	842	2	arshad	arshad	PROPN
ejpam-6084	842	3	madni	madni	PROPN
ejpam-6084	842	4	et	et	PROPN
ejpam-6084	842	5	al	al	PROPN
ejpam-6084	842	6	.	.	PUNCT
ejpam-6084	842	7	/	/	SYM
ejpam-6084	842	8	eur	eur	PROPN
ejpam-6084	842	9	.	.	PUNCT
ejpam-6084	843	1	j.	j.	PROPN
ejpam-6084	843	2	pure	pure	PROPN
ejpam-6084	843	3	appl	appl	PROPN
ejpam-6084	843	4	.	.	PROPN
ejpam-6084	843	5	math	math	PROPN
ejpam-6084	843	6	,	,	PUNCT
ejpam-6084	843	7	18	18	NUM
ejpam-6084	843	8	(	(	PUNCT
ejpam-6084	843	9	2	2	NUM
ejpam-6084	843	10	)	)	PUNCT
ejpam-6084	843	11	(	(	PUNCT
ejpam-6084	843	12	2025	2025	NUM
ejpam-6084	843	13	)	)	PUNCT
ejpam-6084	843	14	,	,	PUNCT
ejpam-6084	843	15	6084	6084	NUM
ejpam-6084	843	16	12	12	NUM
ejpam-6084	843	17	of	of	ADP
ejpam-6084	843	18	16	16	NUM
ejpam-6084	843	19	=	=	SYM
ejpam-6084	843	20	qn(u	qn(u	NOUN
ejpam-6084	843	21	,	,	PUNCT
ejpam-6084	843	22	u	u	NOUN
ejpam-6084	843	23	,	,	PUNCT
ejpam-6084	843	24	.	.	PUNCT
ejpam-6084	843	25	.	.	PUNCT
ejpam-6084	844	1	.	.	PUNCT
ejpam-6084	845	1	,	,	PUNCT
ejpam-6084	845	2	u	u	NOUN
ejpam-6084	845	3	,	,	PUNCT
ejpam-6084	845	4	α2	α2	ADJ
ejpam-6084	845	5	,	,	PUNCT
ejpam-6084	845	6	ζ(a11	ζ(a11	NOUN
ejpam-6084	845	7	)	)	PUNCT
ejpam-6084	845	8	)	)	PUNCT
ejpam-6084	846	1	=	=	SYM
ejpam-6084	846	2	2n−2{α2ζ(a11	2n−2{α2ζ(a11	NUM
ejpam-6084	846	3	)	)	PUNCT
ejpam-6084	847	1	+	+	CCONJ
ejpam-6084	847	2	ζ(a11)α2	ζ(a11)α2	NOUN
ejpam-6084	847	3	}	}	PUNCT
ejpam-6084	847	4	.	.	PUNCT
ejpam-6084	848	1	this	this	PRON
ejpam-6084	848	2	implies	imply	VERB
ejpam-6084	848	3	that	that	SCONJ
ejpam-6084	848	4	α2ζ(a11)α2	α2ζ(a11)α2	NUM
ejpam-6084	848	5	=	=	SYM
ejpam-6084	848	6	α1ζ(a11)α2	α1ζ(a11)α2	PROPN
ejpam-6084	848	7	=	=	SYM
ejpam-6084	848	8	α2ζ(a11)α1	α2ζ(a11)α1	PROPN
ejpam-6084	848	9	=	=	SYM
ejpam-6084	848	10	0	0	NUM
ejpam-6084	848	11	,	,	PUNCT
ejpam-6084	848	12	thus	thus	ADV
ejpam-6084	848	13	ζ(a11	ζ(a11	NOUN
ejpam-6084	848	14	)	)	PUNCT
ejpam-6084	848	15	⊆	⊆	NUM
ejpam-6084	848	16	a11	a11	NOUN
ejpam-6084	848	17	.	.	PUNCT
ejpam-6084	849	1	similarly	similarly	ADV
ejpam-6084	849	2	,	,	PUNCT
ejpam-6084	849	3	we	we	PRON
ejpam-6084	849	4	can	can	AUX
ejpam-6084	849	5	show	show	VERB
ejpam-6084	849	6	that	that	SCONJ
ejpam-6084	849	7	ζ(a22	ζ(a22	NOUN
ejpam-6084	849	8	)	)	PUNCT
ejpam-6084	849	9	⊆	⊆	NUM
ejpam-6084	849	10	a22	a22	NOUN
ejpam-6084	849	11	.	.	PUNCT
ejpam-6084	850	1	lemma	lemma	PROPN
ejpam-6084	850	2	13	13	NUM
ejpam-6084	850	3	.	.	PUNCT
ejpam-6084	851	1	for	for	ADP
ejpam-6084	851	2	any	any	DET
ejpam-6084	851	3	aij	aij	PROPN
ejpam-6084	851	4	,	,	PUNCT
ejpam-6084	851	5	bij	bij	PROPN
ejpam-6084	851	6	∈	∈	PROPN
ejpam-6084	851	7	bij	bij	NOUN
ejpam-6084	851	8	,	,	PUNCT
ejpam-6084	851	9	1	1	NUM
ejpam-6084	851	10	≤	≤	NUM
ejpam-6084	851	11	i	i	PRON
ejpam-6084	851	12	,	,	PUNCT
ejpam-6084	851	13	j	j	PROPN
ejpam-6084	851	14	≤	≤	PROPN
ejpam-6084	851	15	2	2	NUM
ejpam-6084	851	16	,	,	PUNCT
ejpam-6084	851	17	we	we	PRON
ejpam-6084	851	18	get	get	VERB
ejpam-6084	851	19	(	(	PUNCT
ejpam-6084	851	20	1	1	X
ejpam-6084	851	21	)	)	PUNCT
ejpam-6084	851	22	ζ(a11b12	ζ(a11b12	NUM
ejpam-6084	851	23	)	)	PUNCT
ejpam-6084	852	1	=	=	VERB
ejpam-6084	852	2	ζ(a11)b12	ζ(a11)b12	VERB
ejpam-6084	852	3	+	+	NOUN
ejpam-6084	852	4	a11ζ(b12	a11ζ(b12	ADJ
ejpam-6084	852	5	)	)	PUNCT
ejpam-6084	852	6	and	and	CCONJ
ejpam-6084	852	7	ζ(a22b21	ζ(a22b21	PROPN
ejpam-6084	852	8	)	)	PUNCT
ejpam-6084	853	1	=	=	PUNCT
ejpam-6084	853	2	ζ(a22)b21	ζ(a22)b21	PROPN
ejpam-6084	853	3	+	+	PROPN
ejpam-6084	853	4	a22ζ(b21	a22ζ(b21	PROPN
ejpam-6084	853	5	)	)	PUNCT
ejpam-6084	853	6	.	.	PUNCT
ejpam-6084	854	1	(	(	PUNCT
ejpam-6084	854	2	2	2	X
ejpam-6084	854	3	)	)	PUNCT
ejpam-6084	854	4	ζ(a12b21	ζ(a12b21	NOUN
ejpam-6084	854	5	)	)	PUNCT
ejpam-6084	854	6	=	=	SYM
ejpam-6084	855	1	ζ(a12)b21	ζ(a12)b21	PROPN
ejpam-6084	855	2	+	+	NOUN
ejpam-6084	855	3	a12ζ(b21	a12ζ(b21	PROPN
ejpam-6084	855	4	)	)	PUNCT
ejpam-6084	855	5	and	and	CCONJ
ejpam-6084	855	6	ζ(a21b12	ζ(a21b12	NOUN
ejpam-6084	855	7	)	)	PUNCT
ejpam-6084	855	8	=	=	SYM
ejpam-6084	855	9	ζ(a21)b12	ζ(a21)b12	NOUN
ejpam-6084	856	1	+	+	NOUN
ejpam-6084	857	1	a21ζ(b12	a21ζ(b12	ADJ
ejpam-6084	857	2	)	)	PUNCT
ejpam-6084	857	3	.	.	PUNCT
ejpam-6084	858	1	(	(	PUNCT
ejpam-6084	858	2	3	3	X
ejpam-6084	858	3	)	)	PUNCT
ejpam-6084	858	4	ζ(a11b11	ζ(a11b11	PROPN
ejpam-6084	858	5	)	)	PUNCT
ejpam-6084	859	1	=	=	PUNCT
ejpam-6084	859	2	ζ(a11)b11	ζ(a11)b11	X
ejpam-6084	859	3	+	+	NOUN
ejpam-6084	859	4	a11ζ(b11	a11ζ(b11	PROPN
ejpam-6084	859	5	)	)	PUNCT
ejpam-6084	859	6	and	and	CCONJ
ejpam-6084	859	7	ζ(a22b22	ζ(a22b22	PROPN
ejpam-6084	859	8	)	)	PUNCT
ejpam-6084	859	9	=	=	PUNCT
ejpam-6084	860	1	ζ(a22)b22	ζ(a22)b22	PROPN
ejpam-6084	860	2	+	+	NOUN
ejpam-6084	860	3	a22ζ(b22	a22ζ(b22	PROPN
ejpam-6084	860	4	)	)	PUNCT
ejpam-6084	860	5	.	.	PUNCT
ejpam-6084	861	1	(	(	PUNCT
ejpam-6084	861	2	4	4	X
ejpam-6084	861	3	)	)	PUNCT
ejpam-6084	861	4	ζ(a12b22	ζ(a12b22	PROPN
ejpam-6084	861	5	)	)	PUNCT
ejpam-6084	861	6	=	=	SYM
ejpam-6084	862	1	ζ(a12)b22	ζ(a12)b22	PROPN
ejpam-6084	862	2	+	+	NOUN
ejpam-6084	862	3	a12ζ(b22	a12ζ(b22	PROPN
ejpam-6084	862	4	)	)	PUNCT
ejpam-6084	862	5	and	and	CCONJ
ejpam-6084	862	6	ζ(a21b11	ζ(a21b11	PROPN
ejpam-6084	862	7	)	)	PUNCT
ejpam-6084	862	8	=	=	SYM
ejpam-6084	862	9	ζ(a21)b11	ζ(a21)b11	NUM
ejpam-6084	862	10	+	+	NOUN
ejpam-6084	862	11	a21ζ(b11	a21ζ(b11	PROPN
ejpam-6084	862	12	)	)	PUNCT
ejpam-6084	862	13	.	.	PUNCT
ejpam-6084	863	1	proof	proof	NOUN
ejpam-6084	863	2	.	.	PUNCT
ejpam-6084	864	1	(	(	PUNCT
ejpam-6084	864	2	1	1	X
ejpam-6084	864	3	)	)	PUNCT
ejpam-6084	864	4	from	from	ADP
ejpam-6084	864	5	qn(u	qn(u	NOUN
ejpam-6084	864	6	,	,	PUNCT
ejpam-6084	864	7	u	u	NOUN
ejpam-6084	864	8	,	,	PUNCT
ejpam-6084	864	9	.	.	PUNCT
ejpam-6084	864	10	.	.	PUNCT
ejpam-6084	864	11	.	.	PUNCT
ejpam-6084	865	1	,	,	PUNCT
ejpam-6084	865	2	a11	a11	PROPN
ejpam-6084	865	3	,	,	PUNCT
ejpam-6084	865	4	b12	b12	NOUN
ejpam-6084	865	5	)	)	PUNCT
ejpam-6084	865	6	=	=	SYM
ejpam-6084	865	7	2n−2(a11b12	2n−2(a11b12	NUM
ejpam-6084	865	8	)	)	PUNCT
ejpam-6084	865	9	and	and	CCONJ
ejpam-6084	865	10	remark	remark	VERB
ejpam-6084	865	11	2.1	2.1	NUM
ejpam-6084	865	12	,	,	PUNCT
ejpam-6084	865	13	we	we	PRON
ejpam-6084	865	14	find	find	VERB
ejpam-6084	865	15	2n−2ζ(a11b12	2n−2ζ(a11b12	PROPN
ejpam-6084	865	16	)	)	PUNCT
ejpam-6084	866	1	=	=	PUNCT
ejpam-6084	866	2	ζ(qn(u	ζ(qn(u	PROPN
ejpam-6084	866	3	,	,	PUNCT
ejpam-6084	866	4	u	u	NOUN
ejpam-6084	866	5	,	,	PUNCT
ejpam-6084	866	6	.	.	PUNCT
ejpam-6084	866	7	.	.	PUNCT
ejpam-6084	866	8	.	.	PUNCT
ejpam-6084	867	1	,	,	PUNCT
ejpam-6084	867	2	a11	a11	PROPN
ejpam-6084	867	3	,	,	PUNCT
ejpam-6084	867	4	b12	b12	NOUN
ejpam-6084	867	5	)	)	PUNCT
ejpam-6084	867	6	)	)	PUNCT
ejpam-6084	868	1	=	=	SYM
ejpam-6084	868	2	qn(u	qn(u	NOUN
ejpam-6084	868	3	,	,	PUNCT
ejpam-6084	868	4	u	u	NOUN
ejpam-6084	868	5	,	,	PUNCT
ejpam-6084	868	6	.	.	PUNCT
ejpam-6084	868	7	.	.	PUNCT
ejpam-6084	868	8	.	.	PUNCT
ejpam-6084	869	1	,	,	PUNCT
ejpam-6084	869	2	ζ(a11	ζ(a11	NOUN
ejpam-6084	869	3	)	)	PUNCT
ejpam-6084	869	4	,	,	PUNCT
ejpam-6084	869	5	b12	b12	NOUN
ejpam-6084	869	6	)	)	PUNCT
ejpam-6084	870	1	+	+	NOUN
ejpam-6084	870	2	qn(u	qn(u	NOUN
ejpam-6084	870	3	,	,	PUNCT
ejpam-6084	870	4	u	u	NOUN
ejpam-6084	870	5	,	,	PUNCT
ejpam-6084	870	6	.	.	PUNCT
ejpam-6084	870	7	.	.	PUNCT
ejpam-6084	871	1	.	.	PUNCT
ejpam-6084	872	1	,	,	PUNCT
ejpam-6084	872	2	a11	a11	PROPN
ejpam-6084	872	3	,	,	PUNCT
ejpam-6084	872	4	ζ(b12	ζ(b12	NOUN
ejpam-6084	872	5	)	)	PUNCT
ejpam-6084	872	6	)	)	PUNCT
ejpam-6084	872	7	.	.	PUNCT
ejpam-6084	873	1	using	use	VERB
ejpam-6084	873	2	the	the	DET
ejpam-6084	873	3	last	last	ADJ
ejpam-6084	873	4	lemma	lemma	PROPN
ejpam-6084	873	5	,	,	PUNCT
ejpam-6084	873	6	we	we	PRON
ejpam-6084	873	7	find	find	VERB
ejpam-6084	873	8	ζ(a11b12	ζ(a11b12	NUM
ejpam-6084	873	9	)	)	PUNCT
ejpam-6084	874	1	=	=	PUNCT
ejpam-6084	874	2	ζ(a11)b12	ζ(a11)b12	VERB
ejpam-6084	874	3	+	+	NOUN
ejpam-6084	874	4	a11ζ(b12	a11ζ(b12	VERB
ejpam-6084	874	5	)	)	PUNCT
ejpam-6084	874	6	.	.	PUNCT
ejpam-6084	875	1	similarly	similarly	ADV
ejpam-6084	875	2	,	,	PUNCT
ejpam-6084	875	3	we	we	PRON
ejpam-6084	875	4	can	can	AUX
ejpam-6084	875	5	prove	prove	VERB
ejpam-6084	875	6	that	that	SCONJ
ejpam-6084	875	7	ζ(a22b21	ζ(a22b21	PROPN
ejpam-6084	875	8	)	)	PUNCT
ejpam-6084	876	1	=	=	PROPN
ejpam-6084	876	2	ζ(a22)b21	ζ(a22)b21	PROPN
ejpam-6084	876	3	+	+	PROPN
ejpam-6084	876	4	a22ζ(b21	a22ζ(b21	PROPN
ejpam-6084	876	5	)	)	PUNCT
ejpam-6084	876	6	.	.	PUNCT
ejpam-6084	877	1	(	(	PUNCT
ejpam-6084	877	2	2	2	X
ejpam-6084	877	3	)	)	PUNCT
ejpam-6084	877	4	again	again	ADV
ejpam-6084	877	5	,	,	PUNCT
ejpam-6084	877	6	qn(u	qn(u	NOUN
ejpam-6084	877	7	,	,	PUNCT
ejpam-6084	877	8	u	u	NOUN
ejpam-6084	877	9	,	,	PUNCT
ejpam-6084	877	10	.	.	PUNCT
ejpam-6084	877	11	.	.	PUNCT
ejpam-6084	878	1	.	.	PUNCT
ejpam-6084	879	1	,	,	PUNCT
ejpam-6084	879	2	a12	a12	PROPN
ejpam-6084	879	3	,	,	PUNCT
ejpam-6084	879	4	b21	b21	PROPN
ejpam-6084	879	5	)	)	PUNCT
ejpam-6084	879	6	=	=	PUNCT
ejpam-6084	880	1	2n−2a12b21	2n−2a12b21	PROPN
ejpam-6084	880	2	and	and	CCONJ
ejpam-6084	880	3	last	last	ADJ
ejpam-6084	880	4	remark	remark	NOUN
ejpam-6084	880	5	,	,	PUNCT
ejpam-6084	880	6	we	we	PRON
ejpam-6084	880	7	get	get	VERB
ejpam-6084	880	8	2n−2ζ(a12b21	2n−2ζ(a12b21	PROPN
ejpam-6084	880	9	)	)	PUNCT
ejpam-6084	881	1	=	=	PUNCT
ejpam-6084	881	2	ζ(qn(u	ζ(qn(u	PROPN
ejpam-6084	881	3	,	,	PUNCT
ejpam-6084	881	4	u	u	NOUN
ejpam-6084	881	5	,	,	PUNCT
ejpam-6084	881	6	.	.	PUNCT
ejpam-6084	881	7	.	.	PUNCT
ejpam-6084	881	8	.	.	PUNCT
ejpam-6084	882	1	,	,	PUNCT
ejpam-6084	882	2	a12	a12	PROPN
ejpam-6084	882	3	,	,	PUNCT
ejpam-6084	882	4	b21	b21	PROPN
ejpam-6084	882	5	)	)	PUNCT
ejpam-6084	882	6	)	)	PUNCT
ejpam-6084	883	1	=	=	SYM
ejpam-6084	883	2	qn(u	qn(u	NOUN
ejpam-6084	883	3	,	,	PUNCT
ejpam-6084	883	4	u	u	NOUN
ejpam-6084	883	5	,	,	PUNCT
ejpam-6084	883	6	.	.	PUNCT
ejpam-6084	883	7	.	.	PUNCT
ejpam-6084	883	8	.	.	PUNCT
ejpam-6084	884	1	,	,	PUNCT
ejpam-6084	884	2	ζ(a12	ζ(a12	NOUN
ejpam-6084	884	3	)	)	PUNCT
ejpam-6084	884	4	,	,	PUNCT
ejpam-6084	884	5	b21	b21	PROPN
ejpam-6084	884	6	)	)	PUNCT
ejpam-6084	885	1	+	+	PROPN
ejpam-6084	885	2	qn(u	qn(u	NOUN
ejpam-6084	885	3	,	,	PUNCT
ejpam-6084	885	4	u	u	NOUN
ejpam-6084	885	5	,	,	PUNCT
ejpam-6084	885	6	.	.	PUNCT
ejpam-6084	885	7	.	.	PUNCT
ejpam-6084	886	1	.	.	PUNCT
ejpam-6084	887	1	,	,	PUNCT
ejpam-6084	887	2	a12	a12	PROPN
ejpam-6084	887	3	,	,	PUNCT
ejpam-6084	887	4	ζ(b21	ζ(b21	NOUN
ejpam-6084	887	5	)	)	PUNCT
ejpam-6084	887	6	)	)	PUNCT
ejpam-6084	888	1	applying	apply	VERB
ejpam-6084	888	2	the	the	DET
ejpam-6084	888	3	last	last	ADJ
ejpam-6084	888	4	lemma	lemma	PROPN
ejpam-6084	888	5	,	,	PUNCT
ejpam-6084	888	6	we	we	PRON
ejpam-6084	888	7	have	have	VERB
ejpam-6084	888	8	ζ(a12b21	ζ(a12b21	NOUN
ejpam-6084	888	9	)	)	PUNCT
ejpam-6084	888	10	=	=	PUNCT
ejpam-6084	889	1	ζ(a12)b21	ζ(a12)b21	PROPN
ejpam-6084	889	2	+	+	NOUN
ejpam-6084	889	3	a12ζ(b21	a12ζ(b21	PROPN
ejpam-6084	889	4	)	)	PUNCT
ejpam-6084	889	5	.	.	PUNCT
ejpam-6084	890	1	similarly	similarly	ADV
ejpam-6084	890	2	,	,	PUNCT
ejpam-6084	890	3	we	we	PRON
ejpam-6084	890	4	can	can	AUX
ejpam-6084	890	5	prove	prove	VERB
ejpam-6084	890	6	that	that	DET
ejpam-6084	890	7	ζ(a21b12	ζ(a21b12	NOUN
ejpam-6084	890	8	)	)	PUNCT
ejpam-6084	890	9	=	=	SYM
ejpam-6084	890	10	ζ(a21)b12	ζ(a21)b12	NOUN
ejpam-6084	890	11	+	+	NOUN
ejpam-6084	890	12	a21ζ(b12	a21ζ(b12	ADJ
ejpam-6084	890	13	)	)	PUNCT
ejpam-6084	890	14	.	.	PUNCT
ejpam-6084	891	1	(	(	PUNCT
ejpam-6084	891	2	3	3	X
ejpam-6084	891	3	)	)	PUNCT
ejpam-6084	891	4	for	for	ADP
ejpam-6084	891	5	any	any	DET
ejpam-6084	891	6	x12	x12	NUM
ejpam-6084	891	7	∈	∈	PROPN
ejpam-6084	891	8	b12	b12	NOUN
ejpam-6084	891	9	and	and	CCONJ
ejpam-6084	891	10	qn(u	qn(u	NOUN
ejpam-6084	891	11	,	,	PUNCT
ejpam-6084	891	12	u	u	NOUN
ejpam-6084	891	13	,	,	PUNCT
ejpam-6084	891	14	.	.	PUNCT
ejpam-6084	891	15	.	.	PUNCT
ejpam-6084	891	16	.	.	PUNCT
ejpam-6084	892	1	,	,	PUNCT
ejpam-6084	892	2	a11b11	a11b11	PROPN
ejpam-6084	892	3	,	,	PUNCT
ejpam-6084	892	4	x12	x12	NUM
ejpam-6084	892	5	)	)	PUNCT
ejpam-6084	892	6	=	=	SYM
ejpam-6084	892	7	2n−2(a11b11x12	2n−2(a11b11x12	NUM
ejpam-6084	892	8	)	)	PUNCT
ejpam-6084	892	9	and	and	CCONJ
ejpam-6084	892	10	making	make	VERB
ejpam-6084	892	11	use	use	NOUN
ejpam-6084	892	12	of	of	ADP
ejpam-6084	892	13	the	the	DET
ejpam-6084	892	14	last	last	ADJ
ejpam-6084	892	15	remark	remark	NOUN
ejpam-6084	892	16	,	,	PUNCT
ejpam-6084	892	17	we	we	PRON
ejpam-6084	892	18	get	get	VERB
ejpam-6084	892	19	2n−2ζ(a11b11x12	2n−2ζ(a11b11x12	NUM
ejpam-6084	892	20	)	)	PUNCT
ejpam-6084	892	21	=	=	PUNCT
ejpam-6084	893	1	ζ(qn(u	ζ(qn(u	PROPN
ejpam-6084	893	2	,	,	PUNCT
ejpam-6084	893	3	u	u	NOUN
ejpam-6084	893	4	,	,	PUNCT
ejpam-6084	893	5	.	.	PUNCT
ejpam-6084	893	6	.	.	PUNCT
ejpam-6084	894	1	.	.	PUNCT
ejpam-6084	895	1	,	,	PUNCT
ejpam-6084	895	2	a11b11	a11b11	PROPN
ejpam-6084	895	3	,	,	PUNCT
ejpam-6084	895	4	x12	x12	NUM
ejpam-6084	895	5	)	)	PUNCT
ejpam-6084	895	6	=	=	SYM
ejpam-6084	895	7	qn(u	qn(u	NOUN
ejpam-6084	895	8	,	,	PUNCT
ejpam-6084	895	9	u	u	NOUN
ejpam-6084	895	10	,	,	PUNCT
ejpam-6084	895	11	.	.	PUNCT
ejpam-6084	895	12	.	.	PUNCT
ejpam-6084	896	1	.	.	PUNCT
ejpam-6084	897	1	,	,	PUNCT
ejpam-6084	897	2	ζ(a11b11	ζ(a11b11	PROPN
ejpam-6084	897	3	)	)	PUNCT
ejpam-6084	897	4	,	,	PUNCT
ejpam-6084	897	5	x12	x12	NUM
ejpam-6084	897	6	)	)	PUNCT
ejpam-6084	898	1	+	+	NOUN
ejpam-6084	898	2	qn(u	qn(u	NOUN
ejpam-6084	898	3	,	,	PUNCT
ejpam-6084	898	4	u	u	NOUN
ejpam-6084	898	5	,	,	PUNCT
ejpam-6084	898	6	.	.	PUNCT
ejpam-6084	898	7	.	.	PUNCT
ejpam-6084	899	1	.	.	PUNCT
ejpam-6084	900	1	,	,	PUNCT
ejpam-6084	900	2	a11b11	a11b11	PROPN
ejpam-6084	900	3	,	,	PUNCT
ejpam-6084	900	4	ζ(x12	ζ(x12	NUM
ejpam-6084	900	5	)	)	PUNCT
ejpam-6084	900	6	)	)	PUNCT
ejpam-6084	901	1	=	=	SYM
ejpam-6084	901	2	2n−2{ζ(a11b11)x12	2n−2{ζ(a11b11)x12	NUM
ejpam-6084	902	1	+	+	NOUN
ejpam-6084	902	2	x12ζ(a11b11	x12ζ(a11b11	X
ejpam-6084	902	3	)	)	PUNCT
ejpam-6084	903	1	+	+	ADJ
ejpam-6084	903	2	a11b11ζ(x12	a11b11ζ(x12	NUM
ejpam-6084	903	3	)	)	PUNCT
ejpam-6084	903	4	+	+	CCONJ
ejpam-6084	903	5	ζ(x12	ζ(x12	NUM
ejpam-6084	903	6	)	)	PUNCT
ejpam-6084	903	7	a11b11	a11b11	PROPN
ejpam-6084	903	8	}	}	PUNCT
ejpam-6084	903	9	.	.	PUNCT
ejpam-6084	904	1	md	md	PROPN
ejpam-6084	904	2	arshad	arshad	PROPN
ejpam-6084	904	3	madni	madni	PROPN
ejpam-6084	904	4	et	et	PROPN
ejpam-6084	904	5	al	al	PROPN
ejpam-6084	904	6	.	.	PUNCT
ejpam-6084	904	7	/	/	SYM
ejpam-6084	904	8	eur	eur	PROPN
ejpam-6084	904	9	.	.	PUNCT
ejpam-6084	905	1	j.	j.	PROPN
ejpam-6084	905	2	pure	pure	PROPN
ejpam-6084	905	3	appl	appl	PROPN
ejpam-6084	905	4	.	.	PROPN
ejpam-6084	905	5	math	math	PROPN
ejpam-6084	905	6	,	,	PUNCT
ejpam-6084	905	7	18	18	NUM
ejpam-6084	905	8	(	(	PUNCT
ejpam-6084	905	9	2	2	NUM
ejpam-6084	905	10	)	)	PUNCT
ejpam-6084	905	11	(	(	PUNCT
ejpam-6084	905	12	2025	2025	NUM
ejpam-6084	905	13	)	)	PUNCT
ejpam-6084	905	14	,	,	PUNCT
ejpam-6084	905	15	6084	6084	NUM
ejpam-6084	905	16	13	13	NUM
ejpam-6084	905	17	of	of	ADP
ejpam-6084	905	18	16	16	NUM
ejpam-6084	905	19	lemma	lemma	PROPN
ejpam-6084	905	20	12	12	NUM
ejpam-6084	905	21	yields	yield	NOUN
ejpam-6084	905	22	that	that	PRON
ejpam-6084	905	23	ζ(a11b11x12	ζ(a11b11x12	PUNCT
ejpam-6084	905	24	)	)	PUNCT
ejpam-6084	905	25	=	=	PUNCT
ejpam-6084	906	1	ζ(a11b11)x12	ζ(a11b11)x12	NUM
ejpam-6084	906	2	+	+	NOUN
ejpam-6084	906	3	a11b11ζ(x12	a11b11ζ(x12	NUM
ejpam-6084	906	4	)	)	PUNCT
ejpam-6084	906	5	.	.	PUNCT
ejpam-6084	907	1	further	far	ADV
ejpam-6084	907	2	,	,	PUNCT
ejpam-6084	907	3	qn(u	qn(u	NOUN
ejpam-6084	907	4	,	,	PUNCT
ejpam-6084	907	5	u	u	NOUN
ejpam-6084	907	6	,	,	PUNCT
ejpam-6084	907	7	.	.	PUNCT
ejpam-6084	907	8	.	.	PUNCT
ejpam-6084	907	9	.	.	PUNCT
ejpam-6084	908	1	,	,	PUNCT
ejpam-6084	908	2	a11	a11	PROPN
ejpam-6084	908	3	,	,	PUNCT
ejpam-6084	908	4	b11x12	b11x12	NOUN
ejpam-6084	908	5	)	)	PUNCT
ejpam-6084	908	6	=	=	SYM
ejpam-6084	909	1	2n−2(a11b11x12	2n−2(a11b11x12	NUM
ejpam-6084	909	2	)	)	PUNCT
ejpam-6084	909	3	and	and	CCONJ
ejpam-6084	909	4	making	make	VERB
ejpam-6084	909	5	use	use	NOUN
ejpam-6084	909	6	of	of	ADP
ejpam-6084	909	7	remark	remark	NOUN
ejpam-6084	909	8	2.1	2.1	NUM
ejpam-6084	909	9	implies	imply	VERB
ejpam-6084	909	10	the	the	DET
ejpam-6084	909	11	following	follow	VERB
ejpam-6084	909	12	2n−2ζ(a11b11x12	2n−2ζ(a11b11x12	NUM
ejpam-6084	909	13	)	)	PUNCT
ejpam-6084	909	14	=	=	PUNCT
ejpam-6084	909	15	ζ(qn(u	ζ(qn(u	PROPN
ejpam-6084	909	16	,	,	PUNCT
ejpam-6084	909	17	u	u	NOUN
ejpam-6084	909	18	,	,	PUNCT
ejpam-6084	909	19	.	.	PUNCT
ejpam-6084	909	20	.	.	PUNCT
ejpam-6084	910	1	.	.	PUNCT
ejpam-6084	911	1	,	,	PUNCT
ejpam-6084	911	2	a11	a11	PROPN
ejpam-6084	911	3	,	,	PUNCT
ejpam-6084	911	4	b11x12	b11x12	NOUN
ejpam-6084	911	5	)	)	PUNCT
ejpam-6084	911	6	=	=	SYM
ejpam-6084	911	7	qn(u	qn(u	NOUN
ejpam-6084	911	8	,	,	PUNCT
ejpam-6084	911	9	u	u	NOUN
ejpam-6084	911	10	,	,	PUNCT
ejpam-6084	911	11	.	.	PUNCT
ejpam-6084	911	12	.	.	PUNCT
ejpam-6084	911	13	.	.	PUNCT
ejpam-6084	912	1	,	,	PUNCT
ejpam-6084	912	2	ζ(a11	ζ(a11	NOUN
ejpam-6084	912	3	)	)	PUNCT
ejpam-6084	912	4	,	,	PUNCT
ejpam-6084	912	5	b11x12	b11x12	NOUN
ejpam-6084	912	6	)	)	PUNCT
ejpam-6084	912	7	+	+	NOUN
ejpam-6084	912	8	qn(u	qn(u	NOUN
ejpam-6084	912	9	,	,	PUNCT
ejpam-6084	912	10	u	u	NOUN
ejpam-6084	912	11	,	,	PUNCT
ejpam-6084	912	12	.	.	PUNCT
ejpam-6084	912	13	.	.	PUNCT
ejpam-6084	913	1	.	.	PUNCT
ejpam-6084	914	1	,	,	PUNCT
ejpam-6084	914	2	a11	a11	PROPN
ejpam-6084	914	3	,	,	PUNCT
ejpam-6084	914	4	ζ(b11x12	ζ(b11x12	PROPN
ejpam-6084	914	5	)	)	PUNCT
ejpam-6084	914	6	)	)	PUNCT
ejpam-6084	915	1	=	=	PUNCT
ejpam-6084	916	1	2n−2{ζ(a11)b11x12	2n−2{ζ(a11)b11x12	NUM
ejpam-6084	916	2	+	+	NOUN
ejpam-6084	916	3	a11ζ(b11x12	a11ζ(b11x12	NOUN
ejpam-6084	916	4	)	)	PUNCT
ejpam-6084	916	5	}	}	PUNCT
ejpam-6084	916	6	.	.	PUNCT
ejpam-6084	917	1	using	use	VERB
ejpam-6084	917	2	lemma	lemma	PROPN
ejpam-6084	917	3	13(1	13(1	NUM
ejpam-6084	917	4	)	)	PUNCT
ejpam-6084	917	5	,	,	PUNCT
ejpam-6084	917	6	we	we	PRON
ejpam-6084	917	7	have	have	VERB
ejpam-6084	917	8	ζ(a11b11x12	ζ(a11b11x12	PUNCT
ejpam-6084	917	9	)	)	PUNCT
ejpam-6084	918	1	=	=	PUNCT
ejpam-6084	918	2	ζ(a11)b11x12	ζ(a11)b11x12	PROPN
ejpam-6084	919	1	+	+	PUNCT
ejpam-6084	919	2	a11ζ(b11)x12	a11ζ(b11)x12	ADP
ejpam-6084	919	3	+	+	NOUN
ejpam-6084	919	4	a11b11ζ(x12	a11b11ζ(x12	PART
ejpam-6084	919	5	)	)	PUNCT
ejpam-6084	919	6	.	.	PUNCT
ejpam-6084	920	1	comparing	compare	VERB
ejpam-6084	920	2	the	the	DET
ejpam-6084	920	3	above	above	ADJ
ejpam-6084	920	4	two	two	NUM
ejpam-6084	920	5	expressions	expression	NOUN
ejpam-6084	920	6	for	for	ADP
ejpam-6084	920	7	ζ(a11b11x12	ζ(a11b11x12	NOUN
ejpam-6084	920	8	)	)	PUNCT
ejpam-6084	920	9	,	,	PUNCT
ejpam-6084	920	10	we	we	PRON
ejpam-6084	920	11	get	get	VERB
ejpam-6084	920	12	(	(	PUNCT
ejpam-6084	920	13	ζ(a11b11)−ζ(a11)b11−	ζ(a11b11)−ζ(a11)b11−	NOUN
ejpam-6084	920	14	a11ζ(b11))x12	a11ζ(b11))x12	PROPN
ejpam-6084	920	15	=	=	SYM
ejpam-6084	920	16	0	0	NUM
ejpam-6084	920	17	,	,	PUNCT
ejpam-6084	920	18	implies	imply	VERB
ejpam-6084	920	19	(	(	PUNCT
ejpam-6084	920	20	ζ(a11b11)−	ζ(a11b11)−	VERB
ejpam-6084	920	21	ζ(a11)b11	ζ(a11)b11	NOUN
ejpam-6084	920	22	−	−	NOUN
ejpam-6084	920	23	a11ζ(b11))y	a11ζ(b11))y	PROPN
ejpam-6084	920	24	α2	α2	NOUN
ejpam-6084	920	25	=	=	SYM
ejpam-6084	920	26	0	0	NUM
ejpam-6084	920	27	for	for	ADP
ejpam-6084	920	28	all	all	DET
ejpam-6084	920	29	y	y	PROPN
ejpam-6084	920	30	∈	∈	PROPN
ejpam-6084	920	31	b.	b.	NOUN
ejpam-6084	921	1	it	it	PRON
ejpam-6084	921	2	follows	follow	VERB
ejpam-6084	921	3	from	from	ADP
ejpam-6084	921	4	(	(	PUNCT
ejpam-6084	921	5	♠	♠	NOUN
ejpam-6084	921	6	)	)	PUNCT
ejpam-6084	921	7	that	that	SCONJ
ejpam-6084	921	8	ζ(a11b11	ζ(a11b11	PROPN
ejpam-6084	921	9	)	)	PUNCT
ejpam-6084	921	10	=	=	PUNCT
ejpam-6084	921	11	ζ(a11)b11+a11ζ(b11	ζ(a11)b11+a11ζ(b11	PROPN
ejpam-6084	921	12	)	)	PUNCT
ejpam-6084	921	13	.	.	PUNCT
ejpam-6084	922	1	similarly	similarly	ADV
ejpam-6084	922	2	,	,	PUNCT
ejpam-6084	922	3	we	we	PRON
ejpam-6084	922	4	can	can	AUX
ejpam-6084	922	5	prove	prove	VERB
ejpam-6084	922	6	that	that	SCONJ
ejpam-6084	922	7	ζ(a22b22	ζ(a22b22	NOUN
ejpam-6084	922	8	)	)	PUNCT
ejpam-6084	922	9	=	=	PUNCT
ejpam-6084	923	1	ζ(a22)b22	ζ(a22)b22	PROPN
ejpam-6084	923	2	+	+	NOUN
ejpam-6084	923	3	a22ζ(b22	a22ζ(b22	PROPN
ejpam-6084	923	4	)	)	PUNCT
ejpam-6084	923	5	.	.	PUNCT
ejpam-6084	924	1	(	(	PUNCT
ejpam-6084	924	2	4	4	X
ejpam-6084	924	3	)	)	PUNCT
ejpam-6084	924	4	apply	apply	VERB
ejpam-6084	924	5	qn(u	qn(u	NOUN
ejpam-6084	924	6	,	,	PUNCT
ejpam-6084	924	7	u	u	NOUN
ejpam-6084	924	8	,	,	PUNCT
ejpam-6084	924	9	.	.	PUNCT
ejpam-6084	924	10	.	.	PUNCT
ejpam-6084	925	1	.	.	PUNCT
ejpam-6084	926	1	,	,	PUNCT
ejpam-6084	926	2	u	u	NOUN
ejpam-6084	926	3	,	,	PUNCT
ejpam-6084	926	4	α1	α1	PROPN
ejpam-6084	926	5	,	,	PUNCT
ejpam-6084	926	6	a12	a12	PROPN
ejpam-6084	926	7	,	,	PUNCT
ejpam-6084	926	8	b22	b22	PROPN
ejpam-6084	926	9	)	)	PUNCT
ejpam-6084	926	10	=	=	PUNCT
ejpam-6084	927	1	2n−3(a12b22	2n−3(a12b22	NUM
ejpam-6084	927	2	+	+	CCONJ
ejpam-6084	927	3	b22a	b22a	NOUN
ejpam-6084	927	4	∅	∅	NOUN
ejpam-6084	927	5	12	12	NUM
ejpam-6084	927	6	)	)	PUNCT
ejpam-6084	927	7	and	and	CCONJ
ejpam-6084	927	8	making	make	VERB
ejpam-6084	927	9	use	use	NOUN
ejpam-6084	927	10	of	of	ADP
ejpam-6084	927	11	remark	remark	NOUN
ejpam-6084	927	12	2.1	2.1	NUM
ejpam-6084	927	13	to	to	PART
ejpam-6084	927	14	get	get	VERB
ejpam-6084	927	15	2n−3{ζ(a12b22	2n−3{ζ(a12b22	NUM
ejpam-6084	927	16	)	)	PUNCT
ejpam-6084	928	1	+	+	CCONJ
ejpam-6084	928	2	ζ(b22a	ζ(b22a	ADV
ejpam-6084	928	3	∅	∅	NOUN
ejpam-6084	928	4	12	12	NUM
ejpam-6084	928	5	)	)	PUNCT
ejpam-6084	928	6	}	}	PUNCT
ejpam-6084	928	7	=	=	SYM
ejpam-6084	928	8	ζ(qn(u	ζ(qn(u	PROPN
ejpam-6084	928	9	,	,	PUNCT
ejpam-6084	928	10	u	u	NOUN
ejpam-6084	928	11	,	,	PUNCT
ejpam-6084	928	12	.	.	PUNCT
ejpam-6084	928	13	.	.	PUNCT
ejpam-6084	929	1	.	.	PUNCT
ejpam-6084	930	1	,	,	PUNCT
ejpam-6084	930	2	u	u	NOUN
ejpam-6084	930	3	,	,	PUNCT
ejpam-6084	930	4	α1	α1	PROPN
ejpam-6084	930	5	,	,	PUNCT
ejpam-6084	930	6	a12	a12	PROPN
ejpam-6084	930	7	,	,	PUNCT
ejpam-6084	930	8	b22	b22	PROPN
ejpam-6084	930	9	)	)	PUNCT
ejpam-6084	930	10	)	)	PUNCT
ejpam-6084	931	1	=	=	SYM
ejpam-6084	931	2	qn(u	qn(u	NOUN
ejpam-6084	931	3	,	,	PUNCT
ejpam-6084	931	4	u	u	NOUN
ejpam-6084	931	5	,	,	PUNCT
ejpam-6084	931	6	.	.	PUNCT
ejpam-6084	931	7	.	.	PUNCT
ejpam-6084	931	8	.	.	PUNCT
ejpam-6084	931	9	,	,	PUNCT
ejpam-6084	931	10	u	u	NOUN
ejpam-6084	931	11	,	,	PUNCT
ejpam-6084	931	12	α1	α1	PROPN
ejpam-6084	931	13	,	,	PUNCT
ejpam-6084	931	14	ζ(a12	ζ(a12	NOUN
ejpam-6084	931	15	)	)	PUNCT
ejpam-6084	931	16	,	,	PUNCT
ejpam-6084	931	17	b22	b22	PROPN
ejpam-6084	931	18	)	)	PUNCT
ejpam-6084	931	19	+	+	PROPN
ejpam-6084	931	20	qn(u	qn(u	NOUN
ejpam-6084	931	21	,	,	PUNCT
ejpam-6084	931	22	u	u	NOUN
ejpam-6084	931	23	,	,	PUNCT
ejpam-6084	931	24	.	.	PUNCT
ejpam-6084	931	25	.	.	PUNCT
ejpam-6084	931	26	.	.	PUNCT
ejpam-6084	932	1	,	,	PUNCT
ejpam-6084	932	2	u	u	NOUN
ejpam-6084	932	3	,	,	PUNCT
ejpam-6084	932	4	α1	α1	PROPN
ejpam-6084	932	5	,	,	PUNCT
ejpam-6084	932	6	a12	a12	NOUN
ejpam-6084	932	7	,	,	PUNCT
ejpam-6084	932	8	ζ(b22	ζ(b22	NOUN
ejpam-6084	932	9	)	)	PUNCT
ejpam-6084	932	10	)	)	PUNCT
ejpam-6084	932	11	.	.	PUNCT
ejpam-6084	933	1	lemma	lemma	PROPN
ejpam-6084	933	2	12	12	NUM
ejpam-6084	933	3	yields	yield	NOUN
ejpam-6084	933	4	ζ(a12b22	ζ(a12b22	PROPN
ejpam-6084	933	5	)	)	PUNCT
ejpam-6084	933	6	+	+	CCONJ
ejpam-6084	933	7	ζ(b22a	ζ(b22a	ADJ
ejpam-6084	933	8	∅	∅	NOUN
ejpam-6084	933	9	12	12	NUM
ejpam-6084	933	10	)	)	PUNCT
ejpam-6084	933	11	=	=	SYM
ejpam-6084	933	12	ζ(a12)b22	ζ(a12)b22	PROPN
ejpam-6084	933	13	+	+	NOUN
ejpam-6084	933	14	b22ζ(a12	b22ζ(a12	PROPN
ejpam-6084	933	15	)	)	PUNCT
ejpam-6084	933	16	∅	∅	NOUN
ejpam-6084	934	1	+	+	NOUN
ejpam-6084	934	2	a12ζ(b22	a12ζ(b22	NOUN
ejpam-6084	934	3	)	)	PUNCT
ejpam-6084	934	4	+	+	NUM
ejpam-6084	934	5	ζ(b22)a	ζ(b22)a	NOUN
ejpam-6084	934	6	∅	∅	NOUN
ejpam-6084	934	7	12	12	NUM
ejpam-6084	934	8	.	.	PUNCT
ejpam-6084	934	9	from	from	ADP
ejpam-6084	934	10	lemmas	lemmas	PROPN
ejpam-6084	934	11	11	11	NUM
ejpam-6084	934	12	and	and	CCONJ
ejpam-6084	934	13	13(1	13(1	NUM
ejpam-6084	934	14	)	)	PUNCT
ejpam-6084	934	15	,	,	PUNCT
ejpam-6084	934	16	we	we	PRON
ejpam-6084	934	17	obtain	obtain	VERB
ejpam-6084	934	18	ζ(a12b22	ζ(a12b22	PROPN
ejpam-6084	934	19	)	)	PUNCT
ejpam-6084	934	20	+	+	NUM
ejpam-6084	934	21	ζ(b22)a	ζ(b22)a	NOUN
ejpam-6084	934	22	∅	∅	NOUN
ejpam-6084	934	23	12	12	NUM
ejpam-6084	934	24	+	+	NOUN
ejpam-6084	934	25	b22ζ(a	b22ζ(a	NOUN
ejpam-6084	934	26	∅	∅	NOUN
ejpam-6084	934	27	12	12	NUM
ejpam-6084	934	28	)	)	PUNCT
ejpam-6084	934	29	=	=	SYM
ejpam-6084	934	30	ζ(a12)b22	ζ(a12)b22	PROPN
ejpam-6084	934	31	+	+	NOUN
ejpam-6084	934	32	b22ζ(a12	b22ζ(a12	PROPN
ejpam-6084	934	33	)	)	PUNCT
ejpam-6084	934	34	∅	∅	NOUN
ejpam-6084	935	1	+	+	NOUN
ejpam-6084	935	2	a12ζ(b22	a12ζ(b22	NOUN
ejpam-6084	935	3	)	)	PUNCT
ejpam-6084	935	4	+	+	NOUN
ejpam-6084	935	5	ζ(b22)a	ζ(b22)a	NOUN
ejpam-6084	935	6	∅	∅	NOUN
ejpam-6084	935	7	12	12	NUM
ejpam-6084	935	8	.	.	PUNCT
ejpam-6084	936	1	hence	hence	ADV
ejpam-6084	936	2	ζ(a12b22	ζ(a12b22	PROPN
ejpam-6084	936	3	)	)	PUNCT
ejpam-6084	936	4	=	=	PUNCT
ejpam-6084	936	5	ζ(a12)b22	ζ(a12)b22	PROPN
ejpam-6084	936	6	+	+	NOUN
ejpam-6084	936	7	a12ζ(b22	a12ζ(b22	PROPN
ejpam-6084	936	8	)	)	PUNCT
ejpam-6084	936	9	.	.	PUNCT
ejpam-6084	937	1	similarly	similarly	ADV
ejpam-6084	937	2	,	,	PUNCT
ejpam-6084	937	3	we	we	PRON
ejpam-6084	937	4	can	can	AUX
ejpam-6084	937	5	prove	prove	VERB
ejpam-6084	937	6	that	that	SCONJ
ejpam-6084	937	7	ζ(a21b11	ζ(a21b11	PROPN
ejpam-6084	937	8	)	)	PUNCT
ejpam-6084	937	9	=	=	SYM
ejpam-6084	937	10	ζ(a21)b11	ζ(a21)b11	NUM
ejpam-6084	937	11	+	+	NOUN
ejpam-6084	937	12	a21ζ(b11	a21ζ(b11	PROPN
ejpam-6084	937	13	)	)	PUNCT
ejpam-6084	937	14	.	.	PUNCT
ejpam-6084	938	1	lemma	lemma	PROPN
ejpam-6084	938	2	14	14	NUM
ejpam-6084	938	3	.	.	PUNCT
ejpam-6084	939	1	ζ(lr	ζ(lr	NOUN
ejpam-6084	939	2	)	)	PUNCT
ejpam-6084	939	3	=	=	SYM
ejpam-6084	939	4	ζ(l)r+	ζ(l)r+	NOUN
ejpam-6084	939	5	lζ(r	lζ(r	NOUN
ejpam-6084	939	6	)	)	PUNCT
ejpam-6084	939	7	,	,	PUNCT
ejpam-6084	940	1	for	for	ADP
ejpam-6084	940	2	all	all	DET
ejpam-6084	940	3	l	l	NOUN
ejpam-6084	940	4	,	,	PUNCT
ejpam-6084	940	5	r	r	PROPN
ejpam-6084	940	6	∈	∈	PROPN
ejpam-6084	940	7	b.	b.	PROPN
ejpam-6084	940	8	md	md	PROPN
ejpam-6084	940	9	arshad	arshad	PROPN
ejpam-6084	940	10	madni	madni	PROPN
ejpam-6084	940	11	et	et	PROPN
ejpam-6084	940	12	al	al	PROPN
ejpam-6084	940	13	.	.	PUNCT
ejpam-6084	940	14	/	/	SYM
ejpam-6084	940	15	eur	eur	PROPN
ejpam-6084	940	16	.	.	PUNCT
ejpam-6084	941	1	j.	j.	PROPN
ejpam-6084	941	2	pure	pure	PROPN
ejpam-6084	941	3	appl	appl	PROPN
ejpam-6084	941	4	.	.	PROPN
ejpam-6084	941	5	math	math	PROPN
ejpam-6084	941	6	,	,	PUNCT
ejpam-6084	941	7	18	18	NUM
ejpam-6084	941	8	(	(	PUNCT
ejpam-6084	941	9	2	2	NUM
ejpam-6084	941	10	)	)	PUNCT
ejpam-6084	941	11	(	(	PUNCT
ejpam-6084	941	12	2025	2025	NUM
ejpam-6084	941	13	)	)	PUNCT
ejpam-6084	941	14	,	,	PUNCT
ejpam-6084	941	15	6084	6084	NUM
ejpam-6084	941	16	14	14	NUM
ejpam-6084	941	17	of	of	ADP
ejpam-6084	941	18	16	16	NUM
ejpam-6084	941	19	proof	proof	NOUN
ejpam-6084	941	20	.	.	PUNCT
ejpam-6084	942	1	for	for	ADP
ejpam-6084	942	2	any	any	DET
ejpam-6084	942	3	l	l	NOUN
ejpam-6084	942	4	,	,	PUNCT
ejpam-6084	942	5	r	r	NOUN
ejpam-6084	942	6	∈	∈	PROPN
ejpam-6084	942	7	b	b	PROPN
ejpam-6084	942	8	,	,	PUNCT
ejpam-6084	942	9	write	write	VERB
ejpam-6084	942	10	l	l	NOUN
ejpam-6084	942	11	=	=	SYM
ejpam-6084	942	12	l11+l12+l21+l22	l11+l12+l21+l22	PROPN
ejpam-6084	942	13	and	and	CCONJ
ejpam-6084	942	14	r	r	NOUN
ejpam-6084	942	15	=	=	SYM
ejpam-6084	942	16	b11+b12+b21+b22	b11+b12+b21+b22	PROPN
ejpam-6084	942	17	.	.	PUNCT
ejpam-6084	943	1	use	use	VERB
ejpam-6084	943	2	the	the	DET
ejpam-6084	943	3	additivity	additivity	NOUN
ejpam-6084	943	4	of	of	ADP
ejpam-6084	943	5	ζ	ζ	PROPN
ejpam-6084	943	6	lemma	lemma	PROPN
ejpam-6084	943	7	13	13	NUM
ejpam-6084	943	8	to	to	PART
ejpam-6084	943	9	get	get	VERB
ejpam-6084	943	10	ζ(lr	ζ(lr	NOUN
ejpam-6084	943	11	)	)	PUNCT
ejpam-6084	943	12	=	=	SYM
ejpam-6084	944	1	ζ(l11b11	ζ(l11b11	PROPN
ejpam-6084	944	2	+	+	NUM
ejpam-6084	944	3	l11b12	l11b12	ADJ
ejpam-6084	944	4	+	+	CCONJ
ejpam-6084	944	5	l12b21	l12b21	NOUN
ejpam-6084	944	6	+	+	CCONJ
ejpam-6084	944	7	l12b22	l12b22	PROPN
ejpam-6084	944	8	+	+	NOUN
ejpam-6084	944	9	l21b11	l21b11	NOUN
ejpam-6084	944	10	+	+	CCONJ
ejpam-6084	944	11	l21b12	l21b12	NOUN
ejpam-6084	944	12	+	+	CCONJ
ejpam-6084	944	13	l22b21	l22b21	NOUN
ejpam-6084	944	14	+	+	CCONJ
ejpam-6084	944	15	l22b22	l22b22	NOUN
ejpam-6084	944	16	)	)	PUNCT
ejpam-6084	944	17	=	=	SYM
ejpam-6084	945	1	ζ(l11b11	ζ(l11b11	PROPN
ejpam-6084	945	2	)	)	PUNCT
ejpam-6084	945	3	+	+	X
ejpam-6084	945	4	ζ(l11b12	ζ(l11b12	X
ejpam-6084	945	5	)	)	PUNCT
ejpam-6084	945	6	+	+	CCONJ
ejpam-6084	945	7	ζ(l12b21)ζ(l12b22	ζ(l12b21)ζ(l12b22	PROPN
ejpam-6084	945	8	)	)	PUNCT
ejpam-6084	945	9	+	+	PROPN
ejpam-6084	945	10	ζ(l21b11	ζ(l21b11	PROPN
ejpam-6084	945	11	)	)	PUNCT
ejpam-6084	945	12	+	+	SYM
ejpam-6084	946	1	ζ(l21b12	ζ(l21b12	PROPN
ejpam-6084	946	2	)	)	PUNCT
ejpam-6084	946	3	+	+	PROPN
ejpam-6084	947	1	ζ(l22b21	ζ(l22b21	PROPN
ejpam-6084	947	2	)	)	PUNCT
ejpam-6084	947	3	+	+	SYM
ejpam-6084	947	4	ζ(l22b22	ζ(l22b22	PROPN
ejpam-6084	947	5	)	)	PUNCT
ejpam-6084	947	6	=	=	PUNCT
ejpam-6084	947	7	ζ(l11	ζ(l11	NOUN
ejpam-6084	947	8	+	+	CCONJ
ejpam-6084	947	9	l12	l12	NOUN
ejpam-6084	947	10	+	+	CCONJ
ejpam-6084	947	11	l21	l21	NOUN
ejpam-6084	947	12	+	+	CCONJ
ejpam-6084	947	13	l22)(b11	l22)(b11	NOUN
ejpam-6084	948	1	+	+	ADJ
ejpam-6084	948	2	b12	b12	NOUN
ejpam-6084	948	3	+	+	ADJ
ejpam-6084	948	4	b21	b21	PROPN
ejpam-6084	948	5	+	+	PROPN
ejpam-6084	948	6	b22	b22	PROPN
ejpam-6084	948	7	)	)	PUNCT
ejpam-6084	949	1	+	+	PROPN
ejpam-6084	949	2	(	(	PUNCT
ejpam-6084	949	3	l11	l11	NOUN
ejpam-6084	949	4	+	+	CCONJ
ejpam-6084	949	5	l12	l12	NOUN
ejpam-6084	949	6	+	+	CCONJ
ejpam-6084	949	7	l21	l21	NOUN
ejpam-6084	949	8	+	+	CCONJ
ejpam-6084	949	9	l22)ζ(b11	l22)ζ(b11	NOUN
ejpam-6084	949	10	+	+	SYM
ejpam-6084	949	11	b12	b12	NOUN
ejpam-6084	949	12	+	+	ADJ
ejpam-6084	949	13	b21	b21	PROPN
ejpam-6084	949	14	+	+	PROPN
ejpam-6084	949	15	b22	b22	PROPN
ejpam-6084	949	16	)	)	PUNCT
ejpam-6084	949	17	.	.	PUNCT
ejpam-6084	950	1	=	=	PUNCT
ejpam-6084	950	2	ζ(l)r+	ζ(l)r+	NOUN
ejpam-6084	950	3	lζ(r	lζ(r	NOUN
ejpam-6084	950	4	)	)	PUNCT
ejpam-6084	950	5	.	.	PUNCT
ejpam-6084	951	1	lemma	lemma	PROPN
ejpam-6084	951	2	14	14	NUM
ejpam-6084	951	3	and	and	CCONJ
ejpam-6084	951	4	remark	remark	VERB
ejpam-6084	951	5	2.1	2.1	NUM
ejpam-6084	951	6	show	show	NOUN
ejpam-6084	951	7	that	that	SCONJ
ejpam-6084	951	8	ζ	ζ	NOUN
ejpam-6084	951	9	is	be	AUX
ejpam-6084	951	10	an	an	DET
ejpam-6084	951	11	additive	additive	ADJ
ejpam-6084	951	12	∅-derivation	∅-derivation	NOUN
ejpam-6084	951	13	.	.	PUNCT
ejpam-6084	952	1	as	as	ADP
ejpam-6084	952	2	a	a	DET
ejpam-6084	952	3	result	result	NOUN
ejpam-6084	952	4	,	,	PUNCT
ejpam-6084	952	5	it	it	PRON
ejpam-6084	952	6	deduces	deduce	VERB
ejpam-6084	952	7	that	that	PRON
ejpam-6084	952	8	ψ	ψ	NOUN
ejpam-6084	952	9	will	will	AUX
ejpam-6084	952	10	be	be	AUX
ejpam-6084	952	11	an	an	DET
ejpam-6084	952	12	additive	additive	ADJ
ejpam-6084	952	13	∅derivation	∅derivation	NOUN
ejpam-6084	952	14	.	.	PUNCT
ejpam-6084	953	1	which	which	PRON
ejpam-6084	953	2	completes	complete	VERB
ejpam-6084	953	3	the	the	DET
ejpam-6084	953	4	proof	proof	NOUN
ejpam-6084	953	5	of	of	ADP
ejpam-6084	953	6	the	the	DET
ejpam-6084	953	7	theorem	theorem	NOUN
ejpam-6084	953	8	1	1	NUM
ejpam-6084	953	9	.	.	NOUN
ejpam-6084	953	10	3	3	NUM
ejpam-6084	953	11	.	.	X
ejpam-6084	953	12	corollaries	corollary	NOUN
ejpam-6084	953	13	remember	remember	VERB
ejpam-6084	953	14	that	that	SCONJ
ejpam-6084	953	15	a	a	DET
ejpam-6084	953	16	ring	ring	NOUN
ejpam-6084	953	17	b	b	PROPN
ejpam-6084	953	18	is	be	AUX
ejpam-6084	953	19	said	say	VERB
ejpam-6084	953	20	to	to	PART
ejpam-6084	953	21	be	be	AUX
ejpam-6084	953	22	prime	prime	ADJ
ejpam-6084	953	23	if	if	SCONJ
ejpam-6084	953	24	,	,	PUNCT
ejpam-6084	953	25	b1	b1	NOUN
ejpam-6084	953	26	,	,	PUNCT
ejpam-6084	953	27	b2	b2	NOUN
ejpam-6084	953	28	∈	∈	PROPN
ejpam-6084	953	29	b	b	PROPN
ejpam-6084	953	30	,	,	PUNCT
ejpam-6084	953	31	b1bb2	b1bb2	ADJ
ejpam-6084	953	32	=	=	SYM
ejpam-6084	953	33	{	{	PUNCT
ejpam-6084	953	34	0	0	NUM
ejpam-6084	953	35	}	}	PUNCT
ejpam-6084	953	36	implies	imply	VERB
ejpam-6084	953	37	that	that	SCONJ
ejpam-6084	953	38	either	either	CCONJ
ejpam-6084	953	39	b1	b1	NOUN
ejpam-6084	953	40	=	=	SYM
ejpam-6084	953	41	0	0	NUM
ejpam-6084	953	42	or	or	CCONJ
ejpam-6084	953	43	b2	b2	NOUN
ejpam-6084	953	44	=	=	SYM
ejpam-6084	953	45	0	0	NUM
ejpam-6084	953	46	.	.	PUNCT
ejpam-6084	954	1	it	it	PRON
ejpam-6084	954	2	’s	’	VERB
ejpam-6084	954	3	easy	easy	ADJ
ejpam-6084	954	4	to	to	PART
ejpam-6084	954	5	observed	observed	VERB
ejpam-6084	954	6	that	that	SCONJ
ejpam-6084	954	7	every	every	DET
ejpam-6084	954	8	prime	prime	ADJ
ejpam-6084	954	9	∅-rings	∅-rings	PROPN
ejpam-6084	954	10	satisfies	satisfy	VERB
ejpam-6084	954	11	property	property	NOUN
ejpam-6084	954	12	(	(	PUNCT
ejpam-6084	954	13	♠	♠	NOUN
ejpam-6084	954	14	)	)	PUNCT
ejpam-6084	954	15	.	.	PUNCT
ejpam-6084	955	1	therefore	therefore	ADV
ejpam-6084	955	2	,	,	PUNCT
ejpam-6084	955	3	theorem	theorem	VERB
ejpam-6084	955	4	1	1	NUM
ejpam-6084	955	5	directly	directly	ADV
ejpam-6084	955	6	leads	lead	VERB
ejpam-6084	955	7	to	to	ADP
ejpam-6084	955	8	the	the	DET
ejpam-6084	955	9	following	follow	VERB
ejpam-6084	955	10	conclusion	conclusion	NOUN
ejpam-6084	955	11	:	:	PUNCT
ejpam-6084	955	12	corollary	corollary	ADJ
ejpam-6084	955	13	3.1	3.1	NUM
ejpam-6084	955	14	.	.	PUNCT
ejpam-6084	956	1	let	let	VERB
ejpam-6084	956	2	b	b	X
ejpam-6084	956	3	be	be	AUX
ejpam-6084	956	4	a	a	DET
ejpam-6084	956	5	2	2	NUM
ejpam-6084	956	6	-	-	PUNCT
ejpam-6084	956	7	torsion	torsion	NOUN
ejpam-6084	956	8	free	free	ADJ
ejpam-6084	956	9	unital	unital	ADJ
ejpam-6084	956	10	prime	prime	ADJ
ejpam-6084	956	11	∅-rings	∅-rings	PROPN
ejpam-6084	956	12	having	have	VERB
ejpam-6084	956	13	a	a	DET
ejpam-6084	956	14	non	non	ADJ
ejpam-6084	956	15	-	-	ADJ
ejpam-6084	956	16	trivial	trivial	ADJ
ejpam-6084	956	17	symmetric	symmetric	ADJ
ejpam-6084	956	18	idempotent	idempotent	NOUN
ejpam-6084	956	19	.	.	PUNCT
ejpam-6084	957	1	then	then	ADV
ejpam-6084	957	2	a	a	DET
ejpam-6084	957	3	map	map	NOUN
ejpam-6084	957	4	ψ	ψ	X
ejpam-6084	957	5	:	:	PUNCT
ejpam-6084	957	6	b	b	X
ejpam-6084	957	7	→	→	SYM
ejpam-6084	957	8	b	b	PROPN
ejpam-6084	957	9	(	(	PUNCT
ejpam-6084	957	10	not	not	PART
ejpam-6084	957	11	necessarily	necessarily	ADV
ejpam-6084	957	12	additive	additive	VERB
ejpam-6084	957	13	)	)	PUNCT
ejpam-6084	957	14	satisfies	satisfie	NOUN
ejpam-6084	957	15	ψ(qn(b1	ψ(qn(b1	NOUN
ejpam-6084	957	16	,	,	PUNCT
ejpam-6084	957	17	b2	b2	NOUN
ejpam-6084	957	18	,	,	PUNCT
ejpam-6084	957	19	.	.	PUNCT
ejpam-6084	957	20	.	.	PUNCT
ejpam-6084	957	21	.	.	PUNCT
ejpam-6084	958	1	,	,	PUNCT
ejpam-6084	958	2	bn	bn	NOUN
ejpam-6084	958	3	)	)	PUNCT
ejpam-6084	958	4	)	)	PUNCT
ejpam-6084	959	1	=	=	PUNCT
ejpam-6084	960	1	n∑	n∑	PROPN
ejpam-6084	960	2	i=1	i=1	PROPN
ejpam-6084	960	3	qn(b1	qn(b1	PROPN
ejpam-6084	960	4	,	,	PUNCT
ejpam-6084	960	5	.	.	PUNCT
ejpam-6084	960	6	.	.	PUNCT
ejpam-6084	960	7	.	.	PUNCT
ejpam-6084	961	1	,	,	PUNCT
ejpam-6084	961	2	bi−1,ψ(bi	bi−1,ψ(bi	NOUN
ejpam-6084	961	3	)	)	PUNCT
ejpam-6084	961	4	,	,	PUNCT
ejpam-6084	961	5	bi+1	bi+1	NOUN
ejpam-6084	961	6	,	,	PUNCT
ejpam-6084	961	7	.	.	PUNCT
ejpam-6084	961	8	.	.	PUNCT
ejpam-6084	962	1	.	.	PUNCT
ejpam-6084	963	1	,	,	PUNCT
ejpam-6084	963	2	bn	bn	X
ejpam-6084	963	3	)	)	PUNCT
ejpam-6084	963	4	(	(	PUNCT
ejpam-6084	963	5	3.1	3.1	NUM
ejpam-6084	963	6	)	)	PUNCT
ejpam-6084	963	7	for	for	ADP
ejpam-6084	963	8	all	all	DET
ejpam-6084	963	9	b1	b1	NOUN
ejpam-6084	963	10	,	,	PUNCT
ejpam-6084	963	11	b2	b2	NOUN
ejpam-6084	963	12	,	,	PUNCT
ejpam-6084	963	13	.	.	PUNCT
ejpam-6084	963	14	.	.	PUNCT
ejpam-6084	963	15	.	.	PUNCT
ejpam-6084	964	1	,	,	PUNCT
ejpam-6084	964	2	bn	bn	X
ejpam-6084	964	3	∈	∈	PROPN
ejpam-6084	964	4	b	b	X
ejpam-6084	964	5	iff	iff	PROPN
ejpam-6084	964	6	ψ	ψ	PROPN
ejpam-6084	964	7	is	be	AUX
ejpam-6084	964	8	an	an	DET
ejpam-6084	964	9	additive	additive	ADJ
ejpam-6084	964	10	∅-derivation	∅-derivation	NOUN
ejpam-6084	964	11	.	.	PUNCT
ejpam-6084	965	1	remember	remember	VERB
ejpam-6084	965	2	that	that	SCONJ
ejpam-6084	965	3	a	a	DET
ejpam-6084	965	4	algebra	algebra	NOUN
ejpam-6084	965	5	b	b	NOUN
ejpam-6084	965	6	is	be	AUX
ejpam-6084	965	7	said	say	VERB
ejpam-6084	965	8	to	to	PART
ejpam-6084	965	9	be	be	AUX
ejpam-6084	965	10	prime	prime	ADJ
ejpam-6084	965	11	if	if	SCONJ
ejpam-6084	965	12	,	,	PUNCT
ejpam-6084	965	13	b1	b1	NOUN
ejpam-6084	965	14	,	,	PUNCT
ejpam-6084	965	15	b2	b2	NOUN
ejpam-6084	965	16	∈	∈	PROPN
ejpam-6084	965	17	b	b	PROPN
ejpam-6084	965	18	,	,	PUNCT
ejpam-6084	965	19	b1bb2	b1bb2	ADJ
ejpam-6084	965	20	=	=	SYM
ejpam-6084	965	21	{	{	PUNCT
ejpam-6084	965	22	0	0	NUM
ejpam-6084	965	23	}	}	PUNCT
ejpam-6084	965	24	implies	imply	VERB
ejpam-6084	965	25	that	that	SCONJ
ejpam-6084	965	26	either	either	CCONJ
ejpam-6084	965	27	b1	b1	NOUN
ejpam-6084	965	28	=	=	SYM
ejpam-6084	965	29	0	0	NUM
ejpam-6084	965	30	or	or	CCONJ
ejpam-6084	965	31	b2	b2	NOUN
ejpam-6084	965	32	=	=	SYM
ejpam-6084	965	33	0	0	NUM
ejpam-6084	965	34	.	.	PUNCT
ejpam-6084	966	1	it	it	PRON
ejpam-6084	966	2	’s	’	VERB
ejpam-6084	966	3	easy	easy	ADJ
ejpam-6084	966	4	to	to	PART
ejpam-6084	966	5	observed	observed	VERB
ejpam-6084	966	6	that	that	SCONJ
ejpam-6084	966	7	every	every	DET
ejpam-6084	966	8	prime	prime	NOUN
ejpam-6084	966	9	∅-algebra	∅-algebra	PROPN
ejpam-6084	966	10	satisfies	satisfy	VERB
ejpam-6084	966	11	property	property	NOUN
ejpam-6084	966	12	(	(	PUNCT
ejpam-6084	966	13	♠	♠	NOUN
ejpam-6084	966	14	)	)	PUNCT
ejpam-6084	966	15	.	.	PUNCT
ejpam-6084	967	1	thus	thus	ADV
ejpam-6084	967	2	,	,	PUNCT
ejpam-6084	967	3	we	we	PRON
ejpam-6084	967	4	can	can	AUX
ejpam-6084	967	5	infer	infer	VERB
ejpam-6084	967	6	the	the	DET
ejpam-6084	967	7	following	follow	VERB
ejpam-6084	967	8	outcome	outcome	NOUN
ejpam-6084	967	9	as	as	ADP
ejpam-6084	967	10	ac	ac	PROPN
ejpam-6084	967	11	immediate	immediate	ADJ
ejpam-6084	967	12	implication	implication	NOUN
ejpam-6084	967	13	of	of	ADP
ejpam-6084	967	14	theorem	theorem	ADJ
ejpam-6084	967	15	1	1	NUM
ejpam-6084	967	16	:	:	PUNCT
ejpam-6084	967	17	corollary	corollary	ADJ
ejpam-6084	967	18	3.2	3.2	NUM
ejpam-6084	967	19	.	.	PUNCT
ejpam-6084	968	1	if	if	SCONJ
ejpam-6084	968	2	b	b	PROPN
ejpam-6084	968	3	is	be	AUX
ejpam-6084	968	4	a	a	DET
ejpam-6084	968	5	unital	unital	ADJ
ejpam-6084	968	6	prime	prime	NOUN
ejpam-6084	968	7	∅-algebra	∅-algebra	PROPN
ejpam-6084	968	8	containing	contain	VERB
ejpam-6084	968	9	a	a	DET
ejpam-6084	968	10	non	non	ADJ
ejpam-6084	968	11	-	-	ADJ
ejpam-6084	968	12	trivial	trivial	ADJ
ejpam-6084	968	13	projection	projection	NOUN
ejpam-6084	968	14	α1	α1	PROPN
ejpam-6084	968	15	and	and	CCONJ
ejpam-6084	968	16	α2	α2	PROPN
ejpam-6084	968	17	=	=	SYM
ejpam-6084	968	18	u−	u−	PROPN
ejpam-6084	968	19	α1	α1	PROPN
ejpam-6084	968	20	,	,	PUNCT
ejpam-6084	968	21	then	then	ADV
ejpam-6084	968	22	a	a	DET
ejpam-6084	968	23	mapping	mapping	NOUN
ejpam-6084	968	24	ψ	ψ	X
ejpam-6084	968	25	:	:	PUNCT
ejpam-6084	968	26	b	b	X
ejpam-6084	968	27	→	→	SYM
ejpam-6084	968	28	b	b	PROPN
ejpam-6084	968	29	(	(	PUNCT
ejpam-6084	968	30	not	not	PART
ejpam-6084	968	31	necessarily	necessarily	ADV
ejpam-6084	968	32	additive	additive	VERB
ejpam-6084	968	33	)	)	PUNCT
ejpam-6084	968	34	satisfies	satisfie	NOUN
ejpam-6084	968	35	ψ(qn(b1	ψ(qn(b1	NOUN
ejpam-6084	968	36	,	,	PUNCT
ejpam-6084	968	37	b2	b2	NOUN
ejpam-6084	968	38	,	,	PUNCT
ejpam-6084	968	39	.	.	PUNCT
ejpam-6084	968	40	.	.	PUNCT
ejpam-6084	969	1	.	.	PUNCT
ejpam-6084	970	1	,	,	PUNCT
ejpam-6084	970	2	bn	bn	NOUN
ejpam-6084	970	3	)	)	PUNCT
ejpam-6084	970	4	)	)	PUNCT
ejpam-6084	971	1	=	=	PUNCT
ejpam-6084	972	1	n∑	n∑	PROPN
ejpam-6084	972	2	i=1	i=1	PROPN
ejpam-6084	972	3	qn(b1	qn(b1	PROPN
ejpam-6084	972	4	,	,	PUNCT
ejpam-6084	972	5	.	.	PUNCT
ejpam-6084	972	6	.	.	PUNCT
ejpam-6084	972	7	.	.	PUNCT
ejpam-6084	973	1	,	,	PUNCT
ejpam-6084	973	2	bi−1,ψ(bi	bi−1,ψ(bi	NOUN
ejpam-6084	973	3	)	)	PUNCT
ejpam-6084	973	4	,	,	PUNCT
ejpam-6084	973	5	bi+1	bi+1	NOUN
ejpam-6084	973	6	,	,	PUNCT
ejpam-6084	973	7	.	.	PUNCT
ejpam-6084	973	8	.	.	PUNCT
ejpam-6084	974	1	.	.	PUNCT
ejpam-6084	975	1	,	,	PUNCT
ejpam-6084	975	2	bn	bn	X
ejpam-6084	975	3	)	)	PUNCT
ejpam-6084	975	4	(	(	PUNCT
ejpam-6084	975	5	3.2	3.2	NUM
ejpam-6084	975	6	)	)	PUNCT
ejpam-6084	975	7	for	for	ADP
ejpam-6084	975	8	all	all	DET
ejpam-6084	975	9	b1	b1	NOUN
ejpam-6084	975	10	,	,	PUNCT
ejpam-6084	975	11	b2	b2	NOUN
ejpam-6084	975	12	,	,	PUNCT
ejpam-6084	975	13	.	.	PUNCT
ejpam-6084	975	14	.	.	PUNCT
ejpam-6084	976	1	.	.	PUNCT
ejpam-6084	977	1	,	,	PUNCT
ejpam-6084	977	2	bn	bn	X
ejpam-6084	977	3	∈	∈	PROPN
ejpam-6084	977	4	b	b	NOUN
ejpam-6084	977	5	if	if	SCONJ
ejpam-6084	977	6	and	and	CCONJ
ejpam-6084	977	7	only	only	ADV
ejpam-6084	977	8	if	if	SCONJ
ejpam-6084	977	9	ψ	ψ	NOUN
ejpam-6084	977	10	is	be	AUX
ejpam-6084	977	11	an	an	DET
ejpam-6084	977	12	additive	additive	ADJ
ejpam-6084	977	13	∅-derivation	∅-derivation	NOUN
ejpam-6084	977	14	.	.	PUNCT
ejpam-6084	978	1	since	since	SCONJ
ejpam-6084	978	2	a	a	DET
ejpam-6084	978	3	factor	factor	NOUN
ejpam-6084	978	4	von	von	PROPN
ejpam-6084	978	5	neumann	neumann	PROPN
ejpam-6084	978	6	algebra	algebra	PROPN
ejpam-6084	978	7	is	be	AUX
ejpam-6084	978	8	also	also	ADV
ejpam-6084	978	9	prime	prime	ADJ
ejpam-6084	978	10	,	,	PUNCT
ejpam-6084	978	11	it	it	PRON
ejpam-6084	978	12	always	always	ADV
ejpam-6084	978	13	satisfies	satisfy	VERB
ejpam-6084	978	14	(	(	PUNCT
ejpam-6084	978	15	♠	♠	NOUN
ejpam-6084	978	16	)	)	PUNCT
ejpam-6084	978	17	.	.	PUNCT
ejpam-6084	979	1	the	the	DET
ejpam-6084	979	2	following	follow	VERB
ejpam-6084	979	3	result	result	NOUN
ejpam-6084	979	4	follows	follow	VERB
ejpam-6084	979	5	as	as	ADP
ejpam-6084	979	6	a	a	DET
ejpam-6084	979	7	consequence	consequence	NOUN
ejpam-6084	979	8	this	this	DET
ejpam-6084	979	9	corollary	corollary	ADJ
ejpam-6084	979	10	3.2	3.2	NUM
ejpam-6084	979	11	:	:	PUNCT
ejpam-6084	979	12	md	md	PROPN
ejpam-6084	979	13	arshad	arshad	PROPN
ejpam-6084	979	14	madni	madni	PROPN
ejpam-6084	979	15	et	et	PROPN
ejpam-6084	979	16	al	al	PROPN
ejpam-6084	979	17	.	.	PUNCT
ejpam-6084	979	18	/	/	SYM
ejpam-6084	979	19	eur	eur	PROPN
ejpam-6084	979	20	.	.	PUNCT
ejpam-6084	980	1	j.	j.	PROPN
ejpam-6084	980	2	pure	pure	PROPN
ejpam-6084	980	3	appl	appl	PROPN
ejpam-6084	980	4	.	.	PROPN
ejpam-6084	980	5	math	math	PROPN
ejpam-6084	980	6	,	,	PUNCT
ejpam-6084	980	7	18	18	NUM
ejpam-6084	980	8	(	(	PUNCT
ejpam-6084	980	9	2	2	NUM
ejpam-6084	980	10	)	)	PUNCT
ejpam-6084	980	11	(	(	PUNCT
ejpam-6084	980	12	2025	2025	NUM
ejpam-6084	980	13	)	)	PUNCT
ejpam-6084	980	14	,	,	PUNCT
ejpam-6084	980	15	6084	6084	NUM
ejpam-6084	980	16	15	15	NUM
ejpam-6084	980	17	of	of	ADP
ejpam-6084	980	18	16	16	NUM
ejpam-6084	980	19	corollary	corollary	ADJ
ejpam-6084	980	20	3.3	3.3	NUM
ejpam-6084	980	21	.	.	PUNCT
ejpam-6084	981	1	if	if	SCONJ
ejpam-6084	981	2	b	b	PROPN
ejpam-6084	981	3	is	be	AUX
ejpam-6084	981	4	a	a	DET
ejpam-6084	981	5	factor	factor	NOUN
ejpam-6084	981	6	von	von	PROPN
ejpam-6084	981	7	neumann	neumann	PROPN
ejpam-6084	981	8	algebra	algebra	PROPN
ejpam-6084	981	9	having	have	VERB
ejpam-6084	981	10	a	a	DET
ejpam-6084	981	11	dimension	dimension	NOUN
ejpam-6084	981	12	greater	great	ADJ
ejpam-6084	981	13	than	than	ADP
ejpam-6084	981	14	or	or	CCONJ
ejpam-6084	981	15	equal	equal	ADJ
ejpam-6084	981	16	to	to	ADP
ejpam-6084	981	17	2	2	NUM
ejpam-6084	981	18	,	,	PUNCT
ejpam-6084	981	19	then	then	ADV
ejpam-6084	981	20	a	a	DET
ejpam-6084	981	21	mapping	mapping	NOUN
ejpam-6084	981	22	ψ	ψ	X
ejpam-6084	981	23	:	:	PUNCT
ejpam-6084	981	24	b	b	X
ejpam-6084	981	25	→	→	SYM
ejpam-6084	981	26	b	b	PROPN
ejpam-6084	981	27	(	(	PUNCT
ejpam-6084	981	28	not	not	PART
ejpam-6084	981	29	necessarily	necessarily	ADV
ejpam-6084	981	30	additive	additive	VERB
ejpam-6084	981	31	)	)	PUNCT
ejpam-6084	981	32	fulfills	fulfill	VERB
ejpam-6084	981	33	ψ(qn(b1	ψ(qn(b1	NOUN
ejpam-6084	981	34	,	,	PUNCT
ejpam-6084	981	35	b2	b2	NOUN
ejpam-6084	981	36	,	,	PUNCT
ejpam-6084	981	37	.	.	PUNCT
ejpam-6084	981	38	.	.	PUNCT
ejpam-6084	982	1	.	.	PUNCT
ejpam-6084	983	1	,	,	PUNCT
ejpam-6084	983	2	bn	bn	NOUN
ejpam-6084	983	3	)	)	PUNCT
ejpam-6084	983	4	)	)	PUNCT
ejpam-6084	984	1	=	=	PUNCT
ejpam-6084	985	1	n∑	n∑	PROPN
ejpam-6084	985	2	i=1	i=1	PROPN
ejpam-6084	985	3	qn(b1	qn(b1	PROPN
ejpam-6084	985	4	,	,	PUNCT
ejpam-6084	985	5	.	.	PUNCT
ejpam-6084	985	6	.	.	PUNCT
ejpam-6084	985	7	.	.	PUNCT
ejpam-6084	986	1	,	,	PUNCT
ejpam-6084	986	2	bi−1,ψ(bi	bi−1,ψ(bi	NOUN
ejpam-6084	986	3	)	)	PUNCT
ejpam-6084	986	4	,	,	PUNCT
ejpam-6084	986	5	bi+1	bi+1	NOUN
ejpam-6084	986	6	,	,	PUNCT
ejpam-6084	986	7	.	.	PUNCT
ejpam-6084	986	8	.	.	PUNCT
ejpam-6084	987	1	.	.	PUNCT
ejpam-6084	988	1	,	,	PUNCT
ejpam-6084	988	2	bn	bn	X
ejpam-6084	988	3	)	)	PUNCT
ejpam-6084	988	4	(	(	PUNCT
ejpam-6084	988	5	3.3	3.3	NUM
ejpam-6084	988	6	)	)	PUNCT
ejpam-6084	988	7	for	for	ADP
ejpam-6084	988	8	all	all	DET
ejpam-6084	988	9	b1	b1	NOUN
ejpam-6084	988	10	,	,	PUNCT
ejpam-6084	988	11	b2	b2	NOUN
ejpam-6084	988	12	,	,	PUNCT
ejpam-6084	988	13	.	.	PUNCT
ejpam-6084	988	14	.	.	PUNCT
ejpam-6084	988	15	.	.	PUNCT
ejpam-6084	989	1	,	,	PUNCT
ejpam-6084	989	2	bn	bn	X
ejpam-6084	989	3	∈	∈	PROPN
ejpam-6084	989	4	b	b	X
ejpam-6084	989	5	iff	iff	PROPN
ejpam-6084	989	6	ψ	ψ	PROPN
ejpam-6084	989	7	is	be	AUX
ejpam-6084	989	8	an	an	DET
ejpam-6084	989	9	additive	additive	ADJ
ejpam-6084	989	10	∅-derivation	∅-derivation	NOUN
ejpam-6084	989	11	.	.	PUNCT
ejpam-6084	990	1	acknowledgments	acknowledgment	NOUN
ejpam-6084	990	2	the	the	DET
ejpam-6084	990	3	authors	author	NOUN
ejpam-6084	990	4	of	of	ADP
ejpam-6084	990	5	the	the	DET
ejpam-6084	990	6	present	present	ADJ
ejpam-6084	990	7	article	article	NOUN
ejpam-6084	990	8	extend	extend	VERB
ejpam-6084	990	9	their	their	PRON
ejpam-6084	990	10	gratitude	gratitude	NOUN
ejpam-6084	990	11	to	to	ADP
ejpam-6084	990	12	the	the	DET
ejpam-6084	990	13	deanship	deanship	NOUN
ejpam-6084	990	14	of	of	ADP
ejpam-6084	990	15	graduate	graduate	NOUN
ejpam-6084	990	16	studies	study	NOUN
ejpam-6084	990	17	and	and	CCONJ
ejpam-6084	990	18	scientific	scientific	ADJ
ejpam-6084	990	19	research	research	NOUN
ejpam-6084	990	20	of	of	ADP
ejpam-6084	990	21	the	the	DET
ejpam-6084	990	22	islamic	islamic	PROPN
ejpam-6084	990	23	university	university	PROPN
ejpam-6084	990	24	of	of	ADP
ejpam-6084	990	25	madinah	madinah	PROPN
ejpam-6084	990	26	for	for	ADP
ejpam-6084	990	27	the	the	DET
ejpam-6084	990	28	support	support	NOUN
ejpam-6084	990	29	provided	provide	VERB
ejpam-6084	990	30	to	to	ADP
ejpam-6084	990	31	the	the	DET
ejpam-6084	990	32	post	post	ADJ
ejpam-6084	990	33	-	-	ADJ
ejpam-6084	990	34	publication	publication	ADJ
ejpam-6084	990	35	program	program	NOUN
ejpam-6084	990	36	4	4	NUM
ejpam-6084	990	37	.	.	PUNCT
ejpam-6084	991	1	author	author	NOUN
ejpam-6084	991	2	contributions	contribution	NOUN
ejpam-6084	991	3	conceptualization	conceptualization	NOUN
ejpam-6084	991	4	by	by	ADP
ejpam-6084	991	5	m.a	m.a	PROPN
ejpam-6084	991	6	.	.	PROPN
ejpam-6084	991	7	madni	madni	PROPN
ejpam-6084	991	8	and	and	CCONJ
ejpam-6084	991	9	a.z	a.z	PROPN
ejpam-6084	991	10	.	.	PROPN
ejpam-6084	991	11	ansari	ansari	PROPN
ejpam-6084	991	12	;	;	PUNCT
ejpam-6084	991	13	validation	validation	NOUN
ejpam-6084	991	14	by	by	ADP
ejpam-6084	991	15	m.r	m.r	PROPN
ejpam-6084	991	16	.	.	PROPN
ejpam-6084	991	17	modumder	modumder	NOUN
ejpam-6084	991	18	and	and	CCONJ
ejpam-6084	991	19	f.	f.	PROPN
ejpam-6084	991	20	shujat	shujat	PROPN
ejpam-6084	991	21	;	;	PUNCT
ejpam-6084	991	22	investigation	investigation	NOUN
ejpam-6084	991	23	by	by	ADP
ejpam-6084	991	24	m.a	m.a	PROPN
ejpam-6084	991	25	.	.	PROPN
ejpam-6084	991	26	madni	madni	PROPN
ejpam-6084	991	27	and	and	CCONJ
ejpam-6084	991	28	f.	f.	PROPN
ejpam-6084	991	29	shujat	shujat	PROPN
ejpam-6084	991	30	;	;	PUNCT
ejpam-6084	991	31	writing	write	VERB
ejpam-6084	991	32	-	-	PUNCT
ejpam-6084	991	33	original	original	ADJ
ejpam-6084	991	34	draft	draft	NOUN
ejpam-6084	991	35	by	by	ADP
ejpam-6084	991	36	m.a	m.a	PROPN
ejpam-6084	991	37	.	.	PROPN
ejpam-6084	991	38	madni	madni	PROPN
ejpam-6084	991	39	and	and	CCONJ
ejpam-6084	991	40	m.r	m.r	PROPN
ejpam-6084	991	41	.	.	PROPN
ejpam-6084	991	42	modumder	modumder	NOUN
ejpam-6084	991	43	;	;	PUNCT
ejpam-6084	991	44	writing	write	VERB
ejpam-6084	991	45	–	–	PUNCT
ejpam-6084	991	46	review	review	NOUN
ejpam-6084	991	47	and	and	CCONJ
ejpam-6084	991	48	editing	edit	VERB
ejpam-6084	991	49	by	by	ADP
ejpam-6084	991	50	a.z	a.z	PROPN
ejpam-6084	991	51	.	.	PROPN
ejpam-6084	991	52	ansari	ansari	PROPN
ejpam-6084	991	53	and	and	CCONJ
ejpam-6084	991	54	f.	f.	PROPN
ejpam-6084	991	55	shujat	shujat	PROPN
ejpam-6084	991	56	;	;	PUNCT
ejpam-6084	991	57	supervision	supervision	NOUN
ejpam-6084	991	58	by	by	ADP
ejpam-6084	991	59	a.z	a.z	PROPN
ejpam-6084	991	60	.	.	PROPN
ejpam-6084	991	61	ansari	ansari	PROPN
ejpam-6084	991	62	.	.	PUNCT
ejpam-6084	992	1	all	all	DET
ejpam-6084	992	2	authors	author	NOUN
ejpam-6084	992	3	have	have	AUX
ejpam-6084	992	4	read	read	VERB
ejpam-6084	992	5	and	and	CCONJ
ejpam-6084	992	6	agreed	agree	VERB
ejpam-6084	992	7	for	for	ADP
ejpam-6084	992	8	the	the	DET
ejpam-6084	992	9	publication	publication	NOUN
ejpam-6084	992	10	of	of	ADP
ejpam-6084	992	11	the	the	DET
ejpam-6084	992	12	present	present	ADJ
ejpam-6084	992	13	manuscript	manuscript	NOUN
ejpam-6084	992	14	.	.	PUNCT
ejpam-6084	993	1	references	reference	NOUN
ejpam-6084	993	2	[	[	X
ejpam-6084	993	3	1	1	NUM
ejpam-6084	993	4	]	]	PUNCT
ejpam-6084	993	5	c.	c.	PROPN
ejpam-6084	993	6	li	li	PROPN
ejpam-6084	993	7	,	,	PUNCT
ejpam-6084	993	8	f.	f.	PROPN
ejpam-6084	993	9	lu	lu	PROPN
ejpam-6084	993	10	,	,	PUNCT
ejpam-6084	993	11	and	and	CCONJ
ejpam-6084	993	12	x.	x.	NOUN
ejpam-6084	993	13	fang	fang	PROPN
ejpam-6084	993	14	.	.	PUNCT
ejpam-6084	994	1	nonlinear	nonlinear	PROPN
ejpam-6084	994	2	ξ	ξ	PROPN
ejpam-6084	994	3	-	-	PUNCT
ejpam-6084	994	4	jordan∅-derivations	jordan∅-derivation	NOUN
ejpam-6084	994	5	on	on	ADP
ejpam-6084	994	6	von	von	PROPN
ejpam-6084	994	7	neumann	neumann	PROPN
ejpam-6084	994	8	algebras	algebras	PROPN
ejpam-6084	994	9	.	.	PUNCT
ejpam-6084	995	1	linear	linear	PROPN
ejpam-6084	995	2	and	and	CCONJ
ejpam-6084	995	3	multilinear	multilinear	PROPN
ejpam-6084	995	4	algebra	algebra	PROPN
ejpam-6084	995	5	,	,	PUNCT
ejpam-6084	995	6	62:466–473	62:466–473	NUM
ejpam-6084	995	7	,	,	PUNCT
ejpam-6084	995	8	2014	2014	NUM
ejpam-6084	995	9	.	.	PUNCT
ejpam-6084	996	1	[	[	X
ejpam-6084	996	2	2	2	NUM
ejpam-6084	996	3	]	]	PUNCT
ejpam-6084	996	4	c.	c.	PROPN
ejpam-6084	996	5	j.	j.	PROPN
ejpam-6084	996	6	li	li	PROPN
ejpam-6084	996	7	,	,	PUNCT
ejpam-6084	996	8	f.	f.	PROPN
ejpam-6084	996	9	f.	f.	PROPN
ejpam-6084	996	10	zhao	zhao	PROPN
ejpam-6084	996	11	,	,	PUNCT
ejpam-6084	996	12	and	and	CCONJ
ejpam-6084	996	13	q.	q.	PROPN
ejpam-6084	996	14	y.	y.	PROPN
ejpam-6084	996	15	chen	chen	PROPN
ejpam-6084	996	16	.	.	PUNCT
ejpam-6084	997	1	nonlinear	nonlinear	PROPN
ejpam-6084	997	2	skew	skew	NOUN
ejpam-6084	997	3	lie	lie	VERB
ejpam-6084	997	4	triple	triple	ADJ
ejpam-6084	997	5	derivations	derivation	NOUN
ejpam-6084	997	6	between	between	ADP
ejpam-6084	997	7	factors	factor	NOUN
ejpam-6084	997	8	.	.	PUNCT
ejpam-6084	998	1	acta	acta	PROPN
ejpam-6084	998	2	mathematica	mathematica	PROPN
ejpam-6084	998	3	sinica	sinica	PROPN
ejpam-6084	998	4	,	,	PUNCT
ejpam-6084	998	5	english	english	ADJ
ejpam-6084	998	6	series	series	NOUN
ejpam-6084	998	7	,	,	PUNCT
ejpam-6084	998	8	32:821–830	32:821–830	PROPN
ejpam-6084	998	9	,	,	PUNCT
ejpam-6084	998	10	2016	2016	NUM
ejpam-6084	998	11	.	.	PUNCT
ejpam-6084	999	1	[	[	X
ejpam-6084	999	2	3	3	X
ejpam-6084	999	3	]	]	X
ejpam-6084	999	4	m.	m.	NOUN
ejpam-6084	999	5	a.	a.	NOUN
ejpam-6084	999	6	madni	madni	PROPN
ejpam-6084	999	7	,	,	PUNCT
ejpam-6084	999	8	a.	a.	PROPN
ejpam-6084	999	9	s.	s.	PROPN
ejpam-6084	999	10	alali	alali	PROPN
ejpam-6084	999	11	,	,	PUNCT
ejpam-6084	999	12	and	and	CCONJ
ejpam-6084	999	13	m.	m.	PROPN
ejpam-6084	999	14	r.	r.	PROPN
ejpam-6084	999	15	mozumder	mozumder	PROPN
ejpam-6084	999	16	.	.	PUNCT
ejpam-6084	1000	1	nonlinear	nonlinear	PROPN
ejpam-6084	1000	2	skew	skew	ADJ
ejpam-6084	1000	3	lie	lie	NOUN
ejpam-6084	1000	4	-	-	PUNCT
ejpam-6084	1000	5	type	type	NOUN
ejpam-6084	1000	6	derivations	derivation	NOUN
ejpam-6084	1000	7	on	on	ADP
ejpam-6084	1000	8	∗-algebra	∗-algebra	NOUN
ejpam-6084	1000	9	.	.	PUNCT
ejpam-6084	1001	1	mathematics	mathematic	NOUN
ejpam-6084	1001	2	,	,	PUNCT
ejpam-6084	1001	3	11(18):3819	11(18):3819	NUM
ejpam-6084	1001	4	,	,	PUNCT
ejpam-6084	1001	5	2023	2023	NUM
ejpam-6084	1001	6	.	.	PUNCT
ejpam-6084	1002	1	[	[	X
ejpam-6084	1002	2	4	4	X
ejpam-6084	1002	3	]	]	PUNCT
ejpam-6084	1002	4	m.	m.	NOUN
ejpam-6084	1002	5	a.	a.	NOUN
ejpam-6084	1002	6	madni	madni	PROPN
ejpam-6084	1002	7	and	and	CCONJ
ejpam-6084	1002	8	m.	m.	PROPN
ejpam-6084	1002	9	r.	r.	PROPN
ejpam-6084	1002	10	mozumder	mozumder	PROPN
ejpam-6084	1002	11	.	.	PUNCT
ejpam-6084	1003	1	a	a	DET
ejpam-6084	1003	2	note	note	NOUN
ejpam-6084	1003	3	on	on	ADP
ejpam-6084	1003	4	nonlinear	nonlinear	PROPN
ejpam-6084	1003	5	skew	skew	PROPN
ejpam-6084	1003	6	jordan	jordan	PROPN
ejpam-6084	1003	7	-	-	PUNCT
ejpam-6084	1003	8	type	type	NOUN
ejpam-6084	1003	9	derivation	derivation	NOUN
ejpam-6084	1003	10	on	on	ADP
ejpam-6084	1003	11	∗-rings	∗-ring	NOUN
ejpam-6084	1003	12	.	.	PUNCT
ejpam-6084	1004	1	filomat	filomat	NOUN
ejpam-6084	1004	2	,	,	PUNCT
ejpam-6084	1004	3	38(19):112–131	38(19):112–131	PROPN
ejpam-6084	1004	4	,	,	PUNCT
ejpam-6084	1004	5	2024	2024	NUM
ejpam-6084	1004	6	.	.	PUNCT
ejpam-6084	1005	1	[	[	X
ejpam-6084	1005	2	5	5	NUM
ejpam-6084	1005	3	]	]	PUNCT
ejpam-6084	1005	4	v.	v.	X
ejpam-6084	1005	5	darvish	darvish	PROPN
ejpam-6084	1005	6	,	,	PUNCT
ejpam-6084	1005	7	m.	m.	PROPN
ejpam-6084	1005	8	nouri	nouri	PROPN
ejpam-6084	1005	9	,	,	PUNCT
ejpam-6084	1005	10	m.	m.	PROPN
ejpam-6084	1005	11	razeghi	razeghi	PROPN
ejpam-6084	1005	12	,	,	PUNCT
ejpam-6084	1005	13	and	and	CCONJ
ejpam-6084	1005	14	a.	a.	NOUN
ejpam-6084	1005	15	taghavi	taghavi	NOUN
ejpam-6084	1005	16	.	.	PUNCT
ejpam-6084	1006	1	nonlinear	nonlinear	ADJ
ejpam-6084	1006	2	∅-jordan	∅-jordan	PROPN
ejpam-6084	1006	3	triple	triple	ADJ
ejpam-6084	1006	4	derivation	derivation	NOUN
ejpam-6084	1006	5	on	on	ADP
ejpam-6084	1006	6	prime	prime	PROPN
ejpam-6084	1006	7	∅-algebras	∅-algebras	PROPN
ejpam-6084	1006	8	.	.	PUNCT
ejpam-6084	1007	1	linear	linear	PROPN
ejpam-6084	1007	2	and	and	CCONJ
ejpam-6084	1007	3	multilinear	multilinear	PROPN
ejpam-6084	1007	4	algebra	algebra	PROPN
ejpam-6084	1007	5	,	,	PUNCT
ejpam-6084	1007	6	50(2):543–549	50(2):543–549	PROPN
ejpam-6084	1007	7	,	,	PUNCT
ejpam-6084	1007	8	2020	2020	NUM
ejpam-6084	1007	9	.	.	PUNCT
ejpam-6084	1008	1	[	[	X
ejpam-6084	1008	2	6	6	NUM
ejpam-6084	1008	3	]	]	PUNCT
ejpam-6084	1008	4	f.	f.	PROPN
ejpam-6084	1008	5	zhang	zhang	PROPN
ejpam-6084	1008	6	.	.	PUNCT
ejpam-6084	1009	1	nonlinear	nonlinear	PROPN
ejpam-6084	1009	2	skew	skew	PROPN
ejpam-6084	1009	3	jordan	jordan	PROPN
ejpam-6084	1009	4	derivable	derivable	ADJ
ejpam-6084	1009	5	maps	map	NOUN
ejpam-6084	1009	6	on	on	ADP
ejpam-6084	1009	7	factor	factor	NOUN
ejpam-6084	1009	8	von	von	PROPN
ejpam-6084	1009	9	neumann	neumann	PROPN
ejpam-6084	1009	10	algebras	algebras	PROPN
ejpam-6084	1009	11	.	.	PUNCT
ejpam-6084	1010	1	linear	linear	PROPN
ejpam-6084	1010	2	and	and	CCONJ
ejpam-6084	1010	3	multilinear	multilinear	PROPN
ejpam-6084	1010	4	algebra	algebra	NOUN
ejpam-6084	1010	5	,	,	PUNCT
ejpam-6084	1010	6	64:2090–2103	64:2090–2103	NUM
ejpam-6084	1010	7	,	,	PUNCT
ejpam-6084	1010	8	2016	2016	NUM
ejpam-6084	1010	9	.	.	PUNCT
ejpam-6084	1011	1	[	[	X
ejpam-6084	1011	2	7	7	X
ejpam-6084	1011	3	]	]	X
ejpam-6084	1011	4	n.	n.	PROPN
ejpam-6084	1011	5	rehman	rehman	PROPN
ejpam-6084	1011	6	,	,	PUNCT
ejpam-6084	1011	7	j.	j.	PROPN
ejpam-6084	1011	8	nisar	nisar	PROPN
ejpam-6084	1011	9	,	,	PUNCT
ejpam-6084	1011	10	and	and	CCONJ
ejpam-6084	1011	11	m.	m.	PROPN
ejpam-6084	1011	12	nazim	nazim	PROPN
ejpam-6084	1011	13	.	.	PUNCT
ejpam-6084	1012	1	a	a	DET
ejpam-6084	1012	2	note	note	NOUN
ejpam-6084	1012	3	on	on	ADP
ejpam-6084	1012	4	nonlinear	nonlinear	ADJ
ejpam-6084	1012	5	mixed	mix	VERB
ejpam-6084	1012	6	jordan	jordan	PROPN
ejpam-6084	1012	7	triple	triple	ADJ
ejpam-6084	1012	8	derivation	derivation	NOUN
ejpam-6084	1012	9	on	on	ADP
ejpam-6084	1012	10	∅-algebras	∅-algebra	NOUN
ejpam-6084	1012	11	.	.	PUNCT
ejpam-6084	1012	12	communications	communication	NOUN
ejpam-6084	1012	13	in	in	ADP
ejpam-6084	1012	14	algebra	algebra	NOUN
ejpam-6084	1012	15	,	,	PUNCT
ejpam-6084	1012	16	51(4):1334–1343	51(4):1334–1343	PROPN
ejpam-6084	1012	17	,	,	PUNCT
ejpam-6084	1012	18	2023	2023	NUM
ejpam-6084	1012	19	.	.	PUNCT
ejpam-6084	1013	1	[	[	X
ejpam-6084	1013	2	8	8	NUM
ejpam-6084	1013	3	]	]	X
ejpam-6084	1013	4	c.	c.	PROPN
ejpam-6084	1013	5	li	li	PROPN
ejpam-6084	1013	6	and	and	CCONJ
ejpam-6084	1013	7	d.	d.	PROPN
ejpam-6084	1013	8	zhang	zhang	PROPN
ejpam-6084	1013	9	.	.	PUNCT
ejpam-6084	1014	1	nonlinear	nonlinear	PROPN
ejpam-6084	1014	2	mixed	mixed	PROPN
ejpam-6084	1014	3	jordan	jordan	PROPN
ejpam-6084	1014	4	triple	triple	PROPN
ejpam-6084	1014	5	∅-derivation	∅-derivation	PROPN
ejpam-6084	1014	6	on	on	ADP
ejpam-6084	1014	7	∅-algebra	∅-algebra	PROPN
ejpam-6084	1014	8	.	.	PUNCT
ejpam-6084	1015	1	siberian	siberian	PROPN
ejpam-6084	1015	2	mathematical	mathematical	PROPN
ejpam-6084	1015	3	journal	journal	NOUN
ejpam-6084	1015	4	,	,	PUNCT
ejpam-6084	1015	5	63(4):735–742	63(4):735–742	NUM
ejpam-6084	1015	6	,	,	PUNCT
ejpam-6084	1015	7	2022	2022	NUM
ejpam-6084	1015	8	.	.	PUNCT
ejpam-6084	1016	1	[	[	X
ejpam-6084	1016	2	9	9	NUM
ejpam-6084	1016	3	]	]	X
ejpam-6084	1016	4	y.	y.	PROPN
ejpam-6084	1016	5	pang	pang	PROPN
ejpam-6084	1016	6	,	,	PUNCT
ejpam-6084	1016	7	d.	d.	PROPN
ejpam-6084	1016	8	zhang	zhang	PROPN
ejpam-6084	1016	9	,	,	PUNCT
ejpam-6084	1016	10	and	and	CCONJ
ejpam-6084	1016	11	d.	d.	PROPN
ejpam-6084	1016	12	ma	ma	PROPN
ejpam-6084	1016	13	.	.	PUNCT
ejpam-6084	1017	1	the	the	DET
ejpam-6084	1017	2	second	second	ADJ
ejpam-6084	1017	3	nonlinear	nonlinear	ADJ
ejpam-6084	1017	4	mixed	mixed	ADJ
ejpam-6084	1017	5	jordan	jordan	PROPN
ejpam-6084	1017	6	triple	triple	ADJ
ejpam-6084	1017	7	derivable	derivable	ADJ
ejpam-6084	1017	8	mapping	mapping	NOUN
ejpam-6084	1017	9	on	on	ADP
ejpam-6084	1017	10	factor	factor	NOUN
ejpam-6084	1017	11	von	von	PROPN
ejpam-6084	1017	12	neumann	neumann	PROPN
ejpam-6084	1017	13	algebras	algebras	PROPN
ejpam-6084	1017	14	.	.	PUNCT
ejpam-6084	1018	1	bulletin	bulletin	NOUN
ejpam-6084	1018	2	of	of	ADP
ejpam-6084	1018	3	the	the	DET
ejpam-6084	1018	4	iranian	iranian	PROPN
ejpam-6084	1018	5	mathematical	mathematical	PROPN
ejpam-6084	1018	6	society	society	NOUN
ejpam-6084	1018	7	,	,	PUNCT
ejpam-6084	1018	8	48:951–962	48:951–962	PROPN
ejpam-6084	1018	9	,	,	PUNCT
ejpam-6084	1018	10	2022	2022	NUM
ejpam-6084	1018	11	.	.	PUNCT
ejpam-6084	1019	1	md	md	PROPN
ejpam-6084	1019	2	arshad	arshad	PROPN
ejpam-6084	1019	3	madni	madni	PROPN
ejpam-6084	1019	4	et	et	PROPN
ejpam-6084	1019	5	al	al	PROPN
ejpam-6084	1019	6	.	.	PUNCT
ejpam-6084	1019	7	/	/	SYM
ejpam-6084	1019	8	eur	eur	PROPN
ejpam-6084	1019	9	.	.	PUNCT
ejpam-6084	1020	1	j.	j.	PROPN
ejpam-6084	1020	2	pure	pure	PROPN
ejpam-6084	1020	3	appl	appl	PROPN
ejpam-6084	1020	4	.	.	PROPN
ejpam-6084	1020	5	math	math	PROPN
ejpam-6084	1020	6	,	,	PUNCT
ejpam-6084	1020	7	18	18	NUM
ejpam-6084	1020	8	(	(	PUNCT
ejpam-6084	1020	9	2	2	NUM
ejpam-6084	1020	10	)	)	PUNCT
ejpam-6084	1020	11	(	(	PUNCT
ejpam-6084	1020	12	2025	2025	NUM
ejpam-6084	1020	13	)	)	PUNCT
ejpam-6084	1020	14	,	,	PUNCT
ejpam-6084	1020	15	6084	6084	NUM
ejpam-6084	1020	16	16	16	NUM
ejpam-6084	1020	17	of	of	ADP
ejpam-6084	1020	18	16	16	NUM
ejpam-6084	1021	1	[	[	X
ejpam-6084	1021	2	10	10	NUM
ejpam-6084	1021	3	]	]	PUNCT
ejpam-6084	1021	4	x.	x.	NOUN
ejpam-6084	1021	5	zhao	zhao	PROPN
ejpam-6084	1021	6	and	and	CCONJ
ejpam-6084	1021	7	x.	x.	NOUN
ejpam-6084	1021	8	fang	fang	PROPN
ejpam-6084	1021	9	.	.	PUNCT
ejpam-6084	1022	1	the	the	DET
ejpam-6084	1022	2	second	second	ADJ
ejpam-6084	1022	3	nonlinear	nonlinear	ADJ
ejpam-6084	1022	4	mixed	mixed	ADJ
ejpam-6084	1022	5	lie	lie	NOUN
ejpam-6084	1022	6	triple	triple	ADJ
ejpam-6084	1022	7	derivations	derivation	NOUN
ejpam-6084	1022	8	on	on	ADP
ejpam-6084	1022	9	finite	finite	PROPN
ejpam-6084	1022	10	von	von	PROPN
ejpam-6084	1022	11	neumann	neumann	PROPN
ejpam-6084	1022	12	algebras	algebras	PROPN
ejpam-6084	1022	13	.	.	PUNCT
ejpam-6084	1023	1	bulletin	bulletin	NOUN
ejpam-6084	1023	2	of	of	ADP
ejpam-6084	1023	3	the	the	DET
ejpam-6084	1023	4	iranian	iranian	PROPN
ejpam-6084	1023	5	mathematical	mathematical	PROPN
ejpam-6084	1023	6	society	society	NOUN
ejpam-6084	1023	7	,	,	PUNCT
ejpam-6084	1023	8	47:237–254	47:237–254	NOUN
ejpam-6084	1023	9	,	,	PUNCT
ejpam-6084	1023	10	2021	2021	NUM
ejpam-6084	1023	11	.	.	PUNCT
ejpam-6084	1024	1	[	[	X
ejpam-6084	1024	2	11	11	NUM
ejpam-6084	1024	3	]	]	X
ejpam-6084	1024	4	y.	y.	PROPN
ejpam-6084	1024	5	zhou	zhou	PROPN
ejpam-6084	1024	6	,	,	PUNCT
ejpam-6084	1024	7	z.	z.	PROPN
ejpam-6084	1024	8	yang	yang	PROPN
ejpam-6084	1024	9	,	,	PUNCT
ejpam-6084	1024	10	and	and	CCONJ
ejpam-6084	1024	11	j.	j.	PROPN
ejpam-6084	1024	12	zhang	zhang	PROPN
ejpam-6084	1024	13	.	.	PUNCT
ejpam-6084	1025	1	nonlinear	nonlinear	PROPN
ejpam-6084	1025	2	mixed	mix	VERB
ejpam-6084	1025	3	lie	lie	NOUN
ejpam-6084	1025	4	triple	triple	ADJ
ejpam-6084	1025	5	derivations	derivation	NOUN
ejpam-6084	1025	6	on	on	ADP
ejpam-6084	1025	7	prime	prime	ADJ
ejpam-6084	1025	8	∅-algebra	∅-algebra	PROPN
ejpam-6084	1025	9	.	.	PUNCT
ejpam-6084	1026	1	communications	communication	NOUN
ejpam-6084	1026	2	in	in	ADP
ejpam-6084	1026	3	algebra	algebra	NOUN
ejpam-6084	1026	4	,	,	PUNCT
ejpam-6084	1026	5	27(11):4791–4796	27(11):4791–4796	NUM
ejpam-6084	1026	6	,	,	PUNCT
ejpam-6084	1026	7	2019	2019	NUM
ejpam-6084	1026	8	.	.	PUNCT
ejpam-6084	1027	1	[	[	X
ejpam-6084	1027	2	12	12	NUM
ejpam-6084	1027	3	]	]	X
ejpam-6084	1027	4	b.	b.	PROPN
ejpam-6084	1027	5	l.	l.	PROPN
ejpam-6084	1027	6	m.	m.	PROPN
ejpam-6084	1027	7	ferreira	ferreira	PROPN
ejpam-6084	1027	8	and	and	CCONJ
ejpam-6084	1027	9	f.	f.	PROPN
ejpam-6084	1027	10	wei	wei	PROPN
ejpam-6084	1027	11	.	.	PROPN
ejpam-6084	1027	12	mixed	mix	VERB
ejpam-6084	1027	13	∅-jordan	∅-jordan	ADJ
ejpam-6084	1027	14	-	-	PUNCT
ejpam-6084	1027	15	type	type	NOUN
ejpam-6084	1027	16	derivations	derivation	NOUN
ejpam-6084	1027	17	on	on	ADP
ejpam-6084	1027	18	∅-algebras	∅-algebras	PROPN
ejpam-6084	1027	19	.	.	PROPN
ejpam-6084	1027	20	journal	journal	PROPN
ejpam-6084	1027	21	of	of	ADP
ejpam-6084	1027	22	algebra	algebra	PROPN
ejpam-6084	1027	23	and	and	CCONJ
ejpam-6084	1027	24	its	its	PRON
ejpam-6084	1027	25	applications	application	NOUN
ejpam-6084	1027	26	,	,	PUNCT
ejpam-6084	1027	27	22(5):2350100.22	22(5):2350100.22	NOUN
ejpam-6084	1027	28	,	,	PUNCT
ejpam-6084	1027	29	2023	2023	NUM
ejpam-6084	1027	30	.	.	PUNCT
ejpam-6084	1028	1	[	[	X
ejpam-6084	1028	2	13	13	NUM
ejpam-6084	1028	3	]	]	X
ejpam-6084	1028	4	w.	w.	PROPN
ejpam-6084	1028	5	yu	yu	PROPN
ejpam-6084	1028	6	and	and	CCONJ
ejpam-6084	1028	7	j.	j.	PROPN
ejpam-6084	1028	8	zhang	zhang	PROPN
ejpam-6084	1028	9	.	.	PUNCT
ejpam-6084	1029	1	nonlinear	nonlinear	ADJ
ejpam-6084	1029	2	∅-lie	∅-lie	NOUN
ejpam-6084	1029	3	derivations	derivation	NOUN
ejpam-6084	1029	4	on	on	ADP
ejpam-6084	1029	5	factor	factor	NOUN
ejpam-6084	1029	6	von	von	PROPN
ejpam-6084	1029	7	neumann	neumann	PROPN
ejpam-6084	1029	8	algebras	algebras	PROPN
ejpam-6084	1029	9	.	.	PUNCT
ejpam-6084	1030	1	linear	linear	PROPN
ejpam-6084	1030	2	algebra	algebra	PROPN
ejpam-6084	1030	3	and	and	CCONJ
ejpam-6084	1030	4	its	its	PRON
ejpam-6084	1030	5	applications	application	NOUN
ejpam-6084	1030	6	,	,	PUNCT
ejpam-6084	1030	7	437:1979–1991	437:1979–1991	NUM
ejpam-6084	1030	8	,	,	PUNCT
ejpam-6084	1030	9	2012	2012	NUM
ejpam-6084	1030	10	.	.	PUNCT
ejpam-6084	1031	1	[	[	X
ejpam-6084	1031	2	14	14	NUM
ejpam-6084	1031	3	]	]	X
ejpam-6084	1031	4	l.	l.	PROPN
ejpam-6084	1031	5	kong	kong	PROPN
ejpam-6084	1031	6	and	and	CCONJ
ejpam-6084	1031	7	j.	j.	PROPN
ejpam-6084	1031	8	zhang	zhang	PROPN
ejpam-6084	1031	9	.	.	PUNCT
ejpam-6084	1032	1	nonlinear	nonlinear	ADJ
ejpam-6084	1032	2	skew	skew	ADJ
ejpam-6084	1032	3	-	-	PUNCT
ejpam-6084	1032	4	lie	lie	NOUN
ejpam-6084	1032	5	derivations	derivation	NOUN
ejpam-6084	1032	6	on	on	ADP
ejpam-6084	1032	7	prime	prime	ADJ
ejpam-6084	1032	8	∅-rings	∅-rings	PROPN
ejpam-6084	1032	9	.	.	PUNCT
ejpam-6084	1033	1	indian	indian	PROPN
ejpam-6084	1033	2	journal	journal	PROPN
ejpam-6084	1033	3	of	of	ADP
ejpam-6084	1033	4	pure	pure	ADJ
ejpam-6084	1033	5	and	and	CCONJ
ejpam-6084	1033	6	applied	applied	ADJ
ejpam-6084	1033	7	mathematics	mathematic	NOUN
ejpam-6084	1033	8	,	,	PUNCT
ejpam-6084	1033	9	54:475–484	54:475–484	NOUN
ejpam-6084	1033	10	,	,	PUNCT
ejpam-6084	1033	11	2023	2023	NUM
ejpam-6084	1033	12	.	.	PUNCT