id	sid	tid	token	lemma	pos
ejpam-5908	1	1	european	european	PROPN
ejpam-5908	1	2	journal	journal	PROPN
ejpam-5908	1	3	of	of	ADP
ejpam-5908	1	4	pure	pure	ADJ
ejpam-5908	1	5	and	and	CCONJ
ejpam-5908	1	6	applied	applied	ADJ
ejpam-5908	1	7	mathematics	mathematic	NOUN
ejpam-5908	1	8	2025	2025	NUM
ejpam-5908	1	9	,	,	PUNCT
ejpam-5908	1	10	vol	vol	NOUN
ejpam-5908	1	11	.	.	PROPN
ejpam-5908	1	12	18	18	NUM
ejpam-5908	1	13	,	,	PUNCT
ejpam-5908	1	14	issue	issue	NOUN
ejpam-5908	1	15	2	2	NUM
ejpam-5908	1	16	,	,	PUNCT
ejpam-5908	1	17	article	article	NOUN
ejpam-5908	1	18	number	number	NOUN
ejpam-5908	1	19	5908	5908	NUM
ejpam-5908	1	20	issn	issn	VERB
ejpam-5908	1	21	1307	1307	NUM
ejpam-5908	1	22	-	-	SYM
ejpam-5908	1	23	5543	5543	NUM
ejpam-5908	1	24	–	–	PUNCT
ejpam-5908	1	25	ejpam.com	ejpam.com	X
ejpam-5908	1	26	published	publish	VERB
ejpam-5908	1	27	by	by	ADP
ejpam-5908	1	28	new	new	PROPN
ejpam-5908	1	29	york	york	PROPN
ejpam-5908	1	30	business	business	PROPN
ejpam-5908	1	31	global	global	PROPN
ejpam-5908	1	32	on	on	ADP
ejpam-5908	1	33	jordan	jordan	PROPN
ejpam-5908	1	34	-	-	PUNCT
ejpam-5908	1	35	hölder	hölder	PROPN
ejpam-5908	1	36	theorem	theorem	NOUN
ejpam-5908	1	37	under	under	ADP
ejpam-5908	1	38	intuitionistic	intuitionistic	ADJ
ejpam-5908	1	39	fuzzy	fuzzy	ADJ
ejpam-5908	1	40	groups	group	NOUN
ejpam-5908	1	41	paul	paul	PROPN
ejpam-5908	1	42	augustine	augustine	PROPN
ejpam-5908	1	43	ejegwa1	ejegwa1	PROPN
ejpam-5908	1	44	,	,	PUNCT
ejpam-5908	1	45	nasreen	nasreen	ADP
ejpam-5908	1	46	kausar2	kausar2	PROPN
ejpam-5908	1	47	,	,	PUNCT
ejpam-5908	1	48	tonguc	tonguc	NOUN
ejpam-5908	1	49	cagin3,∗	cagin3,∗	NOUN
ejpam-5908	1	50	1	1	NUM
ejpam-5908	1	51	department	department	NOUN
ejpam-5908	1	52	of	of	ADP
ejpam-5908	1	53	mathematics	mathematics	PROPN
ejpam-5908	1	54	,	,	PUNCT
ejpam-5908	1	55	joseph	joseph	PROPN
ejpam-5908	1	56	sarwuan	sarwuan	PROPN
ejpam-5908	1	57	tarka	tarka	PROPN
ejpam-5908	1	58	university	university	PROPN
ejpam-5908	1	59	,	,	PUNCT
ejpam-5908	1	60	p.m.b	p.m.b	NOUN
ejpam-5908	1	61	.	.	PROPN
ejpam-5908	1	62	2373	2373	NUM
ejpam-5908	1	63	,	,	PUNCT
ejpam-5908	1	64	makurdi	makurdi	X
ejpam-5908	1	65	,	,	PUNCT
ejpam-5908	1	66	nigeria	nigeria	PROPN
ejpam-5908	1	67	2	2	NUM
ejpam-5908	1	68	department	department	NOUN
ejpam-5908	1	69	of	of	ADP
ejpam-5908	1	70	mathematics	mathematic	NOUN
ejpam-5908	1	71	,	,	PUNCT
ejpam-5908	1	72	faculty	faculty	NOUN
ejpam-5908	1	73	of	of	ADP
ejpam-5908	1	74	arts	art	NOUN
ejpam-5908	1	75	and	and	CCONJ
ejpam-5908	1	76	sciences	science	NOUN
ejpam-5908	1	77	,	,	PUNCT
ejpam-5908	1	78	balikesir	balikesir	PROPN
ejpam-5908	1	79	university	university	PROPN
ejpam-5908	1	80	,	,	PUNCT
ejpam-5908	1	81	10145	10145	NUM
ejpam-5908	1	82	balikesir	balikesir	NOUN
ejpam-5908	1	83	,	,	PUNCT
ejpam-5908	1	84	türkiye	türkiye	NOUN
ejpam-5908	1	85	3	3	NUM
ejpam-5908	1	86	college	college	NOUN
ejpam-5908	1	87	of	of	ADP
ejpam-5908	1	88	business	business	PROPN
ejpam-5908	1	89	administration	administration	PROPN
ejpam-5908	1	90	,	,	PUNCT
ejpam-5908	1	91	american	american	PROPN
ejpam-5908	1	92	university	university	PROPN
ejpam-5908	1	93	of	of	ADP
ejpam-5908	1	94	the	the	DET
ejpam-5908	1	95	middle	middle	PROPN
ejpam-5908	1	96	east	east	PROPN
ejpam-5908	1	97	,	,	PUNCT
ejpam-5908	1	98	kuwait	kuwait	PROPN
ejpam-5908	1	99	abstract	abstract	PROPN
ejpam-5908	1	100	.	.	PUNCT
ejpam-5908	2	1	the	the	DET
ejpam-5908	2	2	theory	theory	NOUN
ejpam-5908	2	3	of	of	ADP
ejpam-5908	2	4	intuitionistic	intuitionistic	ADJ
ejpam-5908	2	5	fuzzy	fuzzy	ADJ
ejpam-5908	2	6	groups	group	NOUN
ejpam-5908	2	7	is	be	AUX
ejpam-5908	2	8	an	an	DET
ejpam-5908	2	9	algebraic	algebraic	ADJ
ejpam-5908	2	10	structure	structure	NOUN
ejpam-5908	2	11	derivable	derivable	ADJ
ejpam-5908	2	12	from	from	ADP
ejpam-5908	2	13	the	the	DET
ejpam-5908	2	14	utilization	utilization	NOUN
ejpam-5908	2	15	of	of	ADP
ejpam-5908	2	16	groups	group	NOUN
ejpam-5908	2	17	in	in	ADP
ejpam-5908	2	18	intuitionistic	intuitionistic	ADJ
ejpam-5908	2	19	fuzzy	fuzzy	ADJ
ejpam-5908	2	20	sets	set	NOUN
ejpam-5908	2	21	.	.	PUNCT
ejpam-5908	3	1	many	many	ADJ
ejpam-5908	3	2	notions	notion	NOUN
ejpam-5908	3	3	in	in	ADP
ejpam-5908	3	4	group	group	NOUN
ejpam-5908	3	5	theory	theory	NOUN
ejpam-5908	3	6	have	have	AUX
ejpam-5908	3	7	been	be	AUX
ejpam-5908	3	8	presented	present	VERB
ejpam-5908	3	9	in	in	ADP
ejpam-5908	3	10	intuitionistic	intuitionistic	ADJ
ejpam-5908	3	11	fuzzy	fuzzy	ADJ
ejpam-5908	3	12	group	group	NOUN
ejpam-5908	3	13	theory	theory	NOUN
ejpam-5908	3	14	.	.	PUNCT
ejpam-5908	4	1	however	however	ADV
ejpam-5908	4	2	,	,	PUNCT
ejpam-5908	4	3	concepts	concept	NOUN
ejpam-5908	4	4	like	like	ADP
ejpam-5908	4	5	simple	simple	ADJ
ejpam-5908	4	6	group	group	NOUN
ejpam-5908	4	7	,	,	PUNCT
ejpam-5908	4	8	maximal	maximal	ADJ
ejpam-5908	4	9	normal	normal	ADJ
ejpam-5908	4	10	subgroup	subgroup	NOUN
ejpam-5908	4	11	,	,	PUNCT
ejpam-5908	4	12	normal	normal	ADJ
ejpam-5908	4	13	series	series	NOUN
ejpam-5908	4	14	,	,	PUNCT
ejpam-5908	4	15	composition	composition	NOUN
ejpam-5908	4	16	series	series	NOUN
ejpam-5908	4	17	,	,	PUNCT
ejpam-5908	4	18	and	and	CCONJ
ejpam-5908	4	19	the	the	DET
ejpam-5908	4	20	jordan	jordan	PROPN
ejpam-5908	4	21	-	-	PUNCT
ejpam-5908	4	22	hölder	hölder	PROPN
ejpam-5908	4	23	theorem	theorem	NOUN
ejpam-5908	4	24	are	be	AUX
ejpam-5908	4	25	open	open	ADJ
ejpam-5908	4	26	problems	problem	NOUN
ejpam-5908	4	27	in	in	ADP
ejpam-5908	4	28	intuitionistic	intuitionistic	ADJ
ejpam-5908	4	29	fuzzy	fuzzy	ADJ
ejpam-5908	4	30	group	group	NOUN
ejpam-5908	4	31	theory	theory	NOUN
ejpam-5908	4	32	.	.	PUNCT
ejpam-5908	5	1	hence	hence	ADV
ejpam-5908	5	2	,	,	PUNCT
ejpam-5908	5	3	this	this	DET
ejpam-5908	5	4	paper	paper	NOUN
ejpam-5908	5	5	defines	define	VERB
ejpam-5908	5	6	simple	simple	ADJ
ejpam-5908	5	7	intuitionistic	intuitionistic	ADJ
ejpam-5908	5	8	fuzzy	fuzzy	ADJ
ejpam-5908	5	9	groups	group	NOUN
ejpam-5908	5	10	,	,	PUNCT
ejpam-5908	5	11	maximal	maximal	ADJ
ejpam-5908	5	12	normal	normal	ADJ
ejpam-5908	5	13	intuitionistic	intuitionistic	ADJ
ejpam-5908	5	14	fuzzy	fuzzy	ADJ
ejpam-5908	5	15	subgroups	subgroup	NOUN
ejpam-5908	5	16	,	,	PUNCT
ejpam-5908	5	17	normal	normal	ADJ
ejpam-5908	5	18	series	series	NOUN
ejpam-5908	5	19	for	for	ADP
ejpam-5908	5	20	intuitionistic	intuitionistic	ADJ
ejpam-5908	5	21	fuzzy	fuzzy	ADJ
ejpam-5908	5	22	groups	group	NOUN
ejpam-5908	5	23	,	,	PUNCT
ejpam-5908	5	24	and	and	CCONJ
ejpam-5908	5	25	composition	composition	NOUN
ejpam-5908	5	26	series	series	NOUN
ejpam-5908	5	27	for	for	ADP
ejpam-5908	5	28	intuitionistic	intuitionistic	ADJ
ejpam-5908	5	29	fuzzy	fuzzy	ADJ
ejpam-5908	5	30	groups	group	NOUN
ejpam-5908	5	31	with	with	ADP
ejpam-5908	5	32	illustrations	illustration	NOUN
ejpam-5908	5	33	.	.	PUNCT
ejpam-5908	6	1	in	in	ADP
ejpam-5908	6	2	addition	addition	NOUN
ejpam-5908	6	3	,	,	PUNCT
ejpam-5908	6	4	the	the	DET
ejpam-5908	6	5	jordan	jordan	PROPN
ejpam-5908	6	6	-	-	PUNCT
ejpam-5908	6	7	hölder	hölder	PROPN
ejpam-5908	6	8	theorem	theorem	NOUN
ejpam-5908	6	9	in	in	ADP
ejpam-5908	6	10	intuitionistic	intuitionistic	ADJ
ejpam-5908	6	11	fuzzy	fuzzy	ADJ
ejpam-5908	6	12	group	group	NOUN
ejpam-5908	6	13	theory	theory	NOUN
ejpam-5908	6	14	is	be	AUX
ejpam-5908	6	15	verified	verify	VERB
ejpam-5908	6	16	.	.	PUNCT
ejpam-5908	7	1	it	it	PRON
ejpam-5908	7	2	is	be	AUX
ejpam-5908	7	3	shown	show	VERB
ejpam-5908	7	4	that	that	SCONJ
ejpam-5908	7	5	every	every	DET
ejpam-5908	7	6	intuitionistic	intuitionistic	ADJ
ejpam-5908	7	7	fuzzy	fuzzy	ADJ
ejpam-5908	7	8	group	group	NOUN
ejpam-5908	7	9	of	of	ADP
ejpam-5908	7	10	a	a	DET
ejpam-5908	7	11	finite	finite	ADJ
ejpam-5908	7	12	group	group	NOUN
ejpam-5908	7	13	possesses	possess	VERB
ejpam-5908	7	14	a	a	DET
ejpam-5908	7	15	composition	composition	NOUN
ejpam-5908	7	16	series	series	NOUN
ejpam-5908	7	17	,	,	PUNCT
ejpam-5908	7	18	and	and	CCONJ
ejpam-5908	7	19	any	any	DET
ejpam-5908	7	20	two	two	NUM
ejpam-5908	7	21	composition	composition	NOUN
ejpam-5908	7	22	series	series	NOUN
ejpam-5908	7	23	for	for	ADP
ejpam-5908	7	24	an	an	DET
ejpam-5908	7	25	intuitionistic	intuitionistic	ADJ
ejpam-5908	7	26	fuzzy	fuzzy	ADJ
ejpam-5908	7	27	group	group	NOUN
ejpam-5908	7	28	of	of	ADP
ejpam-5908	7	29	a	a	DET
ejpam-5908	7	30	finite	finite	ADJ
ejpam-5908	7	31	group	group	NOUN
ejpam-5908	7	32	are	be	AUX
ejpam-5908	7	33	equivalent	equivalent	ADJ
ejpam-5908	7	34	.	.	PUNCT
ejpam-5908	8	1	2020	2020	NUM
ejpam-5908	8	2	mathematics	mathematic	NOUN
ejpam-5908	8	3	subject	subject	NOUN
ejpam-5908	8	4	classifications	classification	NOUN
ejpam-5908	8	5	:	:	PUNCT
ejpam-5908	8	6	03f55	03f55	NOUN
ejpam-5908	8	7	,	,	PUNCT
ejpam-5908	8	8	06d72	06d72	NOUN
ejpam-5908	8	9	,	,	PUNCT
ejpam-5908	8	10	08a72	08a72	NOUN
ejpam-5908	8	11	key	key	ADJ
ejpam-5908	8	12	words	word	NOUN
ejpam-5908	8	13	and	and	CCONJ
ejpam-5908	8	14	phrases	phrase	NOUN
ejpam-5908	8	15	:	:	PUNCT
ejpam-5908	8	16	intuitionistic	intuitionistic	ADJ
ejpam-5908	8	17	fuzzy	fuzzy	ADJ
ejpam-5908	8	18	groups	group	NOUN
ejpam-5908	8	19	,	,	PUNCT
ejpam-5908	8	20	intuitionistic	intuitionistic	ADJ
ejpam-5908	8	21	fuzzy	fuzzy	ADJ
ejpam-5908	8	22	subgroups	subgroup	NOUN
ejpam-5908	8	23	,	,	PUNCT
ejpam-5908	8	24	simple	simple	ADJ
ejpam-5908	8	25	intuitionistic	intuitionistic	ADJ
ejpam-5908	8	26	fuzzy	fuzzy	ADJ
ejpam-5908	8	27	groups	group	NOUN
ejpam-5908	8	28	,	,	PUNCT
ejpam-5908	8	29	maximal	maximal	ADJ
ejpam-5908	8	30	normal	normal	ADJ
ejpam-5908	8	31	intuitionistic	intuitionistic	ADJ
ejpam-5908	8	32	fuzzy	fuzzy	ADJ
ejpam-5908	8	33	subgroups	subgroup	NOUN
ejpam-5908	8	34	,	,	PUNCT
ejpam-5908	8	35	normal	normal	ADJ
ejpam-5908	8	36	series	series	NOUN
ejpam-5908	8	37	for	for	ADP
ejpam-5908	8	38	intuitionistic	intuitionistic	ADJ
ejpam-5908	8	39	fuzzy	fuzzy	ADJ
ejpam-5908	8	40	groups	group	NOUN
ejpam-5908	8	41	,	,	PUNCT
ejpam-5908	8	42	composition	composition	NOUN
ejpam-5908	8	43	series	series	NOUN
ejpam-5908	8	44	for	for	ADP
ejpam-5908	8	45	intuitionistic	intuitionistic	ADJ
ejpam-5908	8	46	fuzzy	fuzzy	ADJ
ejpam-5908	8	47	groups	group	NOUN
ejpam-5908	8	48	1	1	NUM
ejpam-5908	8	49	.	.	X
ejpam-5908	9	1	introduction	introduction	NOUN
ejpam-5908	9	2	the	the	DET
ejpam-5908	9	3	introduction	introduction	NOUN
ejpam-5908	9	4	of	of	ADP
ejpam-5908	9	5	fuzzy	fuzzy	ADJ
ejpam-5908	9	6	set	set	NOUN
ejpam-5908	9	7	theory	theory	NOUN
ejpam-5908	9	8	(	(	PUNCT
ejpam-5908	9	9	fst	fst	NOUN
ejpam-5908	9	10	)	)	PUNCT
ejpam-5908	9	11	helped	help	VERB
ejpam-5908	9	12	in	in	ADP
ejpam-5908	9	13	the	the	DET
ejpam-5908	9	14	resolution	resolution	NOUN
ejpam-5908	9	15	of	of	ADP
ejpam-5908	9	16	uncertainty	uncertainty	NOUN
ejpam-5908	9	17	that	that	PRON
ejpam-5908	9	18	set	set	VERB
ejpam-5908	9	19	theory	theory	NOUN
ejpam-5908	9	20	could	could	AUX
ejpam-5908	9	21	not	not	PART
ejpam-5908	9	22	handle	handle	VERB
ejpam-5908	9	23	by	by	ADP
ejpam-5908	9	24	considering	consider	VERB
ejpam-5908	9	25	the	the	DET
ejpam-5908	9	26	membership	membership	NOUN
ejpam-5908	9	27	degree	degree	NOUN
ejpam-5908	9	28	of	of	ADP
ejpam-5908	9	29	elements	element	NOUN
ejpam-5908	9	30	defined	define	VERB
ejpam-5908	9	31	in	in	ADP
ejpam-5908	9	32	a	a	DET
ejpam-5908	9	33	unit	unit	NOUN
ejpam-5908	9	34	closed	close	VERB
ejpam-5908	9	35	interval	interval	NOUN
ejpam-5908	9	36	,	,	PUNCT
ejpam-5908	9	37	[	[	X
ejpam-5908	9	38	0	0	NUM
ejpam-5908	9	39	,	,	PUNCT
ejpam-5908	9	40	1	1	NUM
ejpam-5908	9	41	]	]	PUNCT
ejpam-5908	9	42	.	.	PUNCT
ejpam-5908	10	1	the	the	DET
ejpam-5908	10	2	presentation	presentation	NOUN
ejpam-5908	10	3	of	of	ADP
ejpam-5908	10	4	fst	fst	NOUN
ejpam-5908	10	5	by	by	ADP
ejpam-5908	10	6	zadeh	zadeh	PROPN
ejpam-5908	10	7	[	[	X
ejpam-5908	10	8	1	1	NUM
ejpam-5908	10	9	]	]	PUNCT
ejpam-5908	10	10	has	have	AUX
ejpam-5908	10	11	transformed	transform	VERB
ejpam-5908	10	12	decision	decision	NOUN
ejpam-5908	10	13	-	-	PUNCT
ejpam-5908	10	14	making	making	NOUN
ejpam-5908	10	15	in	in	ADP
ejpam-5908	10	16	real	real	ADJ
ejpam-5908	10	17	-	-	PUNCT
ejpam-5908	10	18	life	life	NOUN
ejpam-5908	10	19	issues	issue	NOUN
ejpam-5908	10	20	.	.	PUNCT
ejpam-5908	11	1	likewise	likewise	ADV
ejpam-5908	11	2	,	,	PUNCT
ejpam-5908	11	3	fst	fst	NOUN
ejpam-5908	11	4	has	have	AUX
ejpam-5908	11	5	prompted	prompt	VERB
ejpam-5908	11	6	the	the	DET
ejpam-5908	11	7	study	study	NOUN
ejpam-5908	11	8	of	of	ADP
ejpam-5908	11	9	fuzzy	fuzzy	ADJ
ejpam-5908	11	10	algebra	algebra	NOUN
ejpam-5908	11	11	in	in	ADP
ejpam-5908	11	12	line	line	NOUN
ejpam-5908	11	13	with	with	ADP
ejpam-5908	11	14	the	the	DET
ejpam-5908	11	15	classical	classical	ADJ
ejpam-5908	11	16	algebraic	algebraic	ADJ
ejpam-5908	11	17	structures	structure	NOUN
ejpam-5908	11	18	.	.	PUNCT
ejpam-5908	12	1	rosenfeld	rosenfeld	PROPN
ejpam-5908	13	1	[	[	X
ejpam-5908	13	2	2	2	NUM
ejpam-5908	13	3	]	]	PUNCT
ejpam-5908	13	4	introduced	introduce	VERB
ejpam-5908	13	5	fuzzy	fuzzy	ADJ
ejpam-5908	13	6	groups	group	NOUN
ejpam-5908	13	7	as	as	ADP
ejpam-5908	13	8	the	the	DET
ejpam-5908	13	9	application	application	NOUN
ejpam-5908	13	10	of	of	ADP
ejpam-5908	13	11	fuzzy	fuzzy	ADJ
ejpam-5908	13	12	sets	set	NOUN
ejpam-5908	13	13	to	to	ADP
ejpam-5908	13	14	group	group	NOUN
ejpam-5908	13	15	theory	theory	NOUN
ejpam-5908	13	16	and	and	CCONJ
ejpam-5908	13	17	studied	study	VERB
ejpam-5908	13	18	many	many	ADJ
ejpam-5908	13	19	group	group	NOUN
ejpam-5908	13	20	theoretic	theoretic	ADJ
ejpam-5908	13	21	notions	notion	NOUN
ejpam-5908	13	22	under	under	ADP
ejpam-5908	13	23	∗corresponding	∗corresponde	VERB
ejpam-5908	13	24	author	author	NOUN
ejpam-5908	13	25	.	.	PUNCT
ejpam-5908	14	1	doi	doi	NOUN
ejpam-5908	14	2	:	:	PUNCT
ejpam-5908	14	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5908	https://doi.org/10.29020/nybg.ejpam.v18i2.5908	PRON
ejpam-5908	14	4	email	email	NOUN
ejpam-5908	14	5	addresses	address	VERB
ejpam-5908	14	6	:	:	PUNCT
ejpam-5908	14	7	ejegwa.augustine@uam.edu.ng	ejegwa.augustine@uam.edu.ng	NOUN
ejpam-5908	14	8	(	(	PUNCT
ejpam-5908	14	9	p.	p.	NOUN
ejpam-5908	14	10	a.	a.	NOUN
ejpam-5908	14	11	ejegwa	ejegwa	PROPN
ejpam-5908	14	12	)	)	PUNCT
ejpam-5908	14	13	,	,	PUNCT
ejpam-5908	14	14	nasreen.kausar@balikesir.edu.tr	nasreen.kausar@balikesir.edu.tr	PROPN
ejpam-5908	14	15	(	(	PUNCT
ejpam-5908	14	16	n.	n.	PROPN
ejpam-5908	14	17	kausar	kausar	PROPN
ejpam-5908	14	18	)	)	PUNCT
ejpam-5908	14	19	,	,	PUNCT
ejpam-5908	14	20	tonguc.cagin@aum.edu.kw	tonguc.cagin@aum.edu.kw	PROPN
ejpam-5908	14	21	(	(	PUNCT
ejpam-5908	14	22	t.	t.	NOUN
ejpam-5908	14	23	cagin	cagin	NOUN
ejpam-5908	14	24	)	)	PUNCT
ejpam-5908	14	25	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5908	15	1	1	1	NUM
ejpam-5908	15	2	copyright	copyright	NOUN
ejpam-5908	15	3	:	:	PUNCT
ejpam-5908	15	4	©	©	PROPN
ejpam-5908	15	5	2025	2025	NUM
ejpam-5908	15	6	the	the	DET
ejpam-5908	15	7	author(s	author(s	NOUN
ejpam-5908	15	8	)	)	PUNCT
ejpam-5908	15	9	.	.	PUNCT
ejpam-5908	16	1	(	(	PUNCT
ejpam-5908	16	2	cc	cc	NOUN
ejpam-5908	16	3	by	by	ADP
ejpam-5908	16	4	-	-	PUNCT
ejpam-5908	16	5	nc	nc	PROPN
ejpam-5908	16	6	4.0	4.0	NUM
ejpam-5908	16	7	)	)	PUNCT
ejpam-5908	16	8	p.	p.	NOUN
ejpam-5908	16	9	a.	a.	NOUN
ejpam-5908	16	10	ejegwa	ejegwa	PROPN
ejpam-5908	16	11	,	,	PUNCT
ejpam-5908	16	12	n.	n.	PROPN
ejpam-5908	16	13	kausar	kausar	PROPN
ejpam-5908	16	14	,	,	PUNCT
ejpam-5908	16	15	t.	t.	NOUN
ejpam-5908	16	16	cagin	cagin	PROPN
ejpam-5908	16	17	/	/	SYM
ejpam-5908	16	18	eur	eur	PROPN
ejpam-5908	16	19	.	.	PUNCT
ejpam-5908	17	1	j.	j.	PROPN
ejpam-5908	17	2	pure	pure	PROPN
ejpam-5908	17	3	appl	appl	PROPN
ejpam-5908	17	4	.	.	PROPN
ejpam-5908	17	5	math	math	PROPN
ejpam-5908	17	6	,	,	PUNCT
ejpam-5908	17	7	18	18	NUM
ejpam-5908	17	8	(	(	PUNCT
ejpam-5908	17	9	2	2	NUM
ejpam-5908	17	10	)	)	PUNCT
ejpam-5908	17	11	(	(	PUNCT
ejpam-5908	17	12	2025	2025	NUM
ejpam-5908	17	13	)	)	PUNCT
ejpam-5908	17	14	,	,	PUNCT
ejpam-5908	17	15	5908	5908	NUM
ejpam-5908	17	16	2	2	NUM
ejpam-5908	17	17	of	of	ADP
ejpam-5908	17	18	11	11	NUM
ejpam-5908	17	19	fuzzy	fuzzy	ADJ
ejpam-5908	17	20	group	group	NOUN
ejpam-5908	17	21	setting	setting	NOUN
ejpam-5908	17	22	.	.	PUNCT
ejpam-5908	18	1	in	in	ADP
ejpam-5908	18	2	addition	addition	NOUN
ejpam-5908	18	3	,	,	PUNCT
ejpam-5908	18	4	several	several	ADJ
ejpam-5908	18	5	group	group	NOUN
ejpam-5908	18	6	analogous	analogous	ADJ
ejpam-5908	18	7	concepts	concept	NOUN
ejpam-5908	18	8	like	like	ADP
ejpam-5908	18	9	fuzzy	fuzzy	ADJ
ejpam-5908	18	10	subgroups	subgroup	NOUN
ejpam-5908	18	11	and	and	CCONJ
ejpam-5908	18	12	frattini	frattini	VERB
ejpam-5908	18	13	fuzzy	fuzzy	ADJ
ejpam-5908	18	14	subgroups	subgroup	NOUN
ejpam-5908	18	15	were	be	AUX
ejpam-5908	18	16	studied	study	VERB
ejpam-5908	18	17	[	[	PUNCT
ejpam-5908	18	18	3	3	NUM
ejpam-5908	18	19	,	,	PUNCT
ejpam-5908	18	20	4	4	NUM
ejpam-5908	18	21	]	]	PUNCT
ejpam-5908	18	22	.	.	PUNCT
ejpam-5908	19	1	because	because	SCONJ
ejpam-5908	19	2	of	of	ADP
ejpam-5908	19	3	the	the	DET
ejpam-5908	19	4	drawback	drawback	NOUN
ejpam-5908	19	5	of	of	ADP
ejpam-5908	19	6	the	the	DET
ejpam-5908	19	7	fst	fst	NOUN
ejpam-5908	19	8	(	(	PUNCT
ejpam-5908	19	9	because	because	SCONJ
ejpam-5908	19	10	it	it	PRON
ejpam-5908	19	11	considers	consider	VERB
ejpam-5908	19	12	only	only	ADV
ejpam-5908	19	13	the	the	DET
ejpam-5908	19	14	membership	membership	NOUN
ejpam-5908	19	15	degree	degree	NOUN
ejpam-5908	19	16	of	of	ADP
ejpam-5908	19	17	elements	element	NOUN
ejpam-5908	19	18	)	)	PUNCT
ejpam-5908	19	19	,	,	PUNCT
ejpam-5908	19	20	the	the	DET
ejpam-5908	19	21	idea	idea	NOUN
ejpam-5908	19	22	of	of	ADP
ejpam-5908	19	23	intuitionistic	intuitionistic	ADJ
ejpam-5908	19	24	fuzzy	fuzzy	ADJ
ejpam-5908	19	25	sets	set	NOUN
ejpam-5908	19	26	(	(	PUNCT
ejpam-5908	19	27	ifss	ifss	NOUN
ejpam-5908	19	28	)	)	PUNCT
ejpam-5908	19	29	was	be	AUX
ejpam-5908	19	30	presented	present	VERB
ejpam-5908	19	31	by	by	ADP
ejpam-5908	19	32	atanassov	atanassov	NOUN
ejpam-5908	19	33	[	[	X
ejpam-5908	19	34	5	5	NUM
ejpam-5908	19	35	]	]	PUNCT
ejpam-5908	19	36	and	and	CCONJ
ejpam-5908	19	37	numerous	numerous	ADJ
ejpam-5908	19	38	properties	property	NOUN
ejpam-5908	19	39	of	of	ADP
ejpam-5908	19	40	ifss	ifss	NOUN
ejpam-5908	19	41	have	have	AUX
ejpam-5908	19	42	been	be	AUX
ejpam-5908	19	43	presented	present	VERB
ejpam-5908	19	44	[	[	X
ejpam-5908	19	45	6	6	NUM
ejpam-5908	19	46	,	,	PUNCT
ejpam-5908	19	47	7	7	NUM
ejpam-5908	19	48	]	]	PUNCT
ejpam-5908	19	49	.	.	PUNCT
ejpam-5908	20	1	biswas	biswas	PROPN
ejpam-5908	21	1	[	[	X
ejpam-5908	21	2	8	8	NUM
ejpam-5908	21	3	,	,	PUNCT
ejpam-5908	21	4	9	9	NUM
ejpam-5908	21	5	]	]	PUNCT
ejpam-5908	21	6	applied	apply	VERB
ejpam-5908	21	7	ifss	ifss	NOUN
ejpam-5908	21	8	to	to	ADP
ejpam-5908	21	9	group	group	NOUN
ejpam-5908	21	10	theory	theory	NOUN
ejpam-5908	21	11	by	by	ADP
ejpam-5908	21	12	proposing	propose	VERB
ejpam-5908	21	13	intuitionistic	intuitionistic	ADJ
ejpam-5908	21	14	fuzzy	fuzzy	ADJ
ejpam-5908	21	15	subgroups	subgroup	NOUN
ejpam-5908	21	16	(	(	PUNCT
ejpam-5908	21	17	ifsgs	ifsgs	NOUN
ejpam-5908	21	18	)	)	PUNCT
ejpam-5908	21	19	,	,	PUNCT
ejpam-5908	21	20	ahn	ahn	PROPN
ejpam-5908	22	1	[	[	X
ejpam-5908	22	2	10	10	NUM
ejpam-5908	22	3	]	]	PUNCT
ejpam-5908	22	4	discussed	discuss	VERB
ejpam-5908	22	5	the	the	DET
ejpam-5908	22	6	several	several	ADJ
ejpam-5908	22	7	forms	form	NOUN
ejpam-5908	22	8	of	of	ADP
ejpam-5908	22	9	sublattice	sublattice	NOUN
ejpam-5908	22	10	of	of	ADP
ejpam-5908	22	11	lattice	lattice	NOUN
ejpam-5908	22	12	of	of	ADP
ejpam-5908	22	13	ifsgs	ifsg	NOUN
ejpam-5908	22	14	,	,	PUNCT
ejpam-5908	22	15	and	and	CCONJ
ejpam-5908	22	16	proved	prove	VERB
ejpam-5908	22	17	the	the	DET
ejpam-5908	22	18	connection	connection	NOUN
ejpam-5908	22	19	of	of	ADP
ejpam-5908	22	20	the	the	DET
ejpam-5908	22	21	sublattices	sublattice	NOUN
ejpam-5908	22	22	of	of	ADP
ejpam-5908	22	23	the	the	DET
ejpam-5908	22	24	lattice	lattice	NOUN
ejpam-5908	22	25	of	of	ADP
ejpam-5908	22	26	ifgs	ifg	VERB
ejpam-5908	22	27	.	.	PUNCT
ejpam-5908	23	1	certain	certain	ADJ
ejpam-5908	23	2	properties	property	NOUN
ejpam-5908	23	3	of	of	ADP
ejpam-5908	23	4	ifsgs	ifsg	NOUN
ejpam-5908	23	5	were	be	AUX
ejpam-5908	23	6	discussed	discuss	VERB
ejpam-5908	23	7	in	in	ADP
ejpam-5908	23	8	[	[	X
ejpam-5908	23	9	11	11	NUM
ejpam-5908	23	10	]	]	PUNCT
ejpam-5908	23	11	,	,	PUNCT
ejpam-5908	23	12	fathi	fathi	PROPN
ejpam-5908	23	13	and	and	CCONJ
ejpam-5908	23	14	salleh	salleh	PROPN
ejpam-5908	24	1	[	[	X
ejpam-5908	24	2	12	12	NUM
ejpam-5908	24	3	]	]	PUNCT
ejpam-5908	24	4	presented	present	VERB
ejpam-5908	24	5	intuitionistic	intuitionistic	ADJ
ejpam-5908	24	6	fuzzy	fuzzy	ADJ
ejpam-5908	24	7	groups	group	NOUN
ejpam-5908	24	8	(	(	PUNCT
ejpam-5908	24	9	ifgs	ifgs	PROPN
ejpam-5908	24	10	)	)	PUNCT
ejpam-5908	24	11	based	base	VERB
ejpam-5908	24	12	on	on	ADP
ejpam-5908	24	13	intuitionistic	intuitionistic	ADJ
ejpam-5908	24	14	fuzzy	fuzzy	ADJ
ejpam-5908	24	15	space	space	NOUN
ejpam-5908	24	16	and	and	CCONJ
ejpam-5908	24	17	discussed	discuss	VERB
ejpam-5908	24	18	certain	certain	ADJ
ejpam-5908	24	19	of	of	ADP
ejpam-5908	24	20	their	their	PRON
ejpam-5908	24	21	properties	property	NOUN
ejpam-5908	24	22	,	,	PUNCT
ejpam-5908	24	23	and	and	CCONJ
ejpam-5908	24	24	yuan	yuan	NOUN
ejpam-5908	24	25	et	et	PROPN
ejpam-5908	24	26	al	al	PROPN
ejpam-5908	24	27	.	.	PUNCT
ejpam-5908	25	1	[	[	X
ejpam-5908	25	2	13	13	NUM
ejpam-5908	25	3	]	]	PUNCT
ejpam-5908	25	4	shared	share	VERB
ejpam-5908	25	5	some	some	DET
ejpam-5908	25	6	additional	additional	ADJ
ejpam-5908	25	7	insight	insight	NOUN
ejpam-5908	25	8	on	on	ADP
ejpam-5908	25	9	ifsgs	ifsg	NOUN
ejpam-5908	25	10	.	.	PUNCT
ejpam-5908	26	1	bal	bal	PROPN
ejpam-5908	26	2	et	et	PROPN
ejpam-5908	26	3	al	al	PROPN
ejpam-5908	26	4	.	.	PUNCT
ejpam-5908	27	1	[	[	X
ejpam-5908	27	2	14	14	NUM
ejpam-5908	27	3	]	]	PUNCT
ejpam-5908	27	4	presented	present	VERB
ejpam-5908	27	5	a	a	DET
ejpam-5908	27	6	note	note	NOUN
ejpam-5908	27	7	of	of	ADP
ejpam-5908	27	8	kernel	kernel	PROPN
ejpam-5908	27	9	subgroups	subgroup	NOUN
ejpam-5908	27	10	on	on	ADP
ejpam-5908	27	11	ifgs	ifgs	NOUN
ejpam-5908	27	12	and	and	CCONJ
ejpam-5908	27	13	discussed	discuss	VERB
ejpam-5908	27	14	some	some	DET
ejpam-5908	27	15	properties	property	NOUN
ejpam-5908	27	16	of	of	ADP
ejpam-5908	27	17	ifgs	ifgs	PROPN
ejpam-5908	27	18	,	,	PUNCT
ejpam-5908	27	19	sharma	sharma	PROPN
ejpam-5908	27	20	[	[	X
ejpam-5908	27	21	15	15	NUM
ejpam-5908	27	22	]	]	PUNCT
ejpam-5908	27	23	presented	present	VERB
ejpam-5908	27	24	the	the	DET
ejpam-5908	27	25	direct	direct	ADJ
ejpam-5908	27	26	product	product	NOUN
ejpam-5908	27	27	of	of	ADP
ejpam-5908	27	28	ifsgs	ifsg	NOUN
ejpam-5908	27	29	,	,	PUNCT
ejpam-5908	27	30	and	and	CCONJ
ejpam-5908	27	31	the	the	DET
ejpam-5908	27	32	homomorphism	homomorphism	NOUN
ejpam-5908	27	33	of	of	ADP
ejpam-5908	27	34	ifgs	ifgs	PROPN
ejpam-5908	27	35	was	be	AUX
ejpam-5908	27	36	discussed	discuss	VERB
ejpam-5908	27	37	in	in	ADP
ejpam-5908	27	38	[	[	X
ejpam-5908	27	39	16	16	NUM
ejpam-5908	27	40	]	]	PUNCT
ejpam-5908	27	41	.	.	PUNCT
ejpam-5908	28	1	in	in	ADP
ejpam-5908	28	2	addition	addition	NOUN
ejpam-5908	28	3	,	,	PUNCT
ejpam-5908	28	4	the	the	DET
ejpam-5908	28	5	α	α	NOUN
ejpam-5908	28	6	and	and	CCONJ
ejpam-5908	28	7	β	β	NOUN
ejpam-5908	28	8	cuts	cut	NOUN
ejpam-5908	28	9	of	of	ADP
ejpam-5908	28	10	ifgs	ifgs	NOUN
ejpam-5908	28	11	were	be	AUX
ejpam-5908	28	12	discussed	discuss	VERB
ejpam-5908	28	13	in	in	ADP
ejpam-5908	28	14	[	[	X
ejpam-5908	28	15	17	17	NUM
ejpam-5908	28	16	]	]	PUNCT
ejpam-5908	28	17	and	and	CCONJ
ejpam-5908	28	18	the	the	DET
ejpam-5908	28	19	t	t	PROPN
ejpam-5908	28	20	-	-	PUNCT
ejpam-5908	28	21	ifsgs	ifsgs	NOUN
ejpam-5908	28	22	was	be	AUX
ejpam-5908	28	23	presented	present	VERB
ejpam-5908	28	24	in	in	ADP
ejpam-5908	28	25	[	[	X
ejpam-5908	28	26	18	18	NUM
ejpam-5908	28	27	]	]	PUNCT
ejpam-5908	28	28	.	.	PUNCT
ejpam-5908	29	1	some	some	DET
ejpam-5908	29	2	important	important	ADJ
ejpam-5908	29	3	theorems	theorem	NOUN
ejpam-5908	29	4	of	of	ADP
ejpam-5908	29	5	t	t	PROPN
ejpam-5908	29	6	-	-	PUNCT
ejpam-5908	29	7	intuitionistic	intuitionistic	ADJ
ejpam-5908	29	8	fuzzy	fuzzy	ADJ
ejpam-5908	29	9	isomorphism	isomorphism	NOUN
ejpam-5908	29	10	of	of	ADP
ejpam-5908	29	11	tifsgs	tifsg	NOUN
ejpam-5908	29	12	and	and	CCONJ
ejpam-5908	29	13	the	the	DET
ejpam-5908	29	14	fuzzification	fuzzification	NOUN
ejpam-5908	29	15	of	of	ADP
ejpam-5908	29	16	the	the	DET
ejpam-5908	29	17	prominent	prominent	ADJ
ejpam-5908	29	18	lagrange	lagrange	NOUN
ejpam-5908	29	19	’s	’s	PART
ejpam-5908	29	20	theorem	theorem	NOUN
ejpam-5908	29	21	were	be	AUX
ejpam-5908	29	22	discussed	discuss	VERB
ejpam-5908	29	23	in	in	ADP
ejpam-5908	29	24	[	[	X
ejpam-5908	29	25	19	19	NUM
ejpam-5908	29	26	,	,	PUNCT
ejpam-5908	29	27	20	20	NUM
ejpam-5908	29	28	]	]	PUNCT
ejpam-5908	29	29	.	.	PUNCT
ejpam-5908	30	1	some	some	DET
ejpam-5908	30	2	algebraic	algebraic	ADJ
ejpam-5908	30	3	descriptions	description	NOUN
ejpam-5908	30	4	of	of	ADP
ejpam-5908	30	5	ε	ε	PROPN
ejpam-5908	30	6	-	-	PUNCT
ejpam-5908	30	7	ifsgs	ifsgs	NOUN
ejpam-5908	30	8	were	be	AUX
ejpam-5908	30	9	discussed	discuss	VERB
ejpam-5908	30	10	in	in	ADP
ejpam-5908	30	11	[	[	X
ejpam-5908	30	12	21	21	NUM
ejpam-5908	30	13	]	]	PUNCT
ejpam-5908	30	14	,	,	PUNCT
ejpam-5908	30	15	shuaib	shuaib	PROPN
ejpam-5908	30	16	et	et	PROPN
ejpam-5908	30	17	al	al	PROPN
ejpam-5908	30	18	.	.	PUNCT
ejpam-5908	31	1	[	[	X
ejpam-5908	31	2	22	22	NUM
ejpam-5908	31	3	]	]	PUNCT
ejpam-5908	31	4	discussed	discuss	VERB
ejpam-5908	31	5	the	the	DET
ejpam-5908	31	6	idea	idea	NOUN
ejpam-5908	31	7	of	of	ADP
ejpam-5908	31	8	η	η	NOUN
ejpam-5908	31	9	-	-	NOUN
ejpam-5908	31	10	ifsg	ifsg	NOUN
ejpam-5908	31	11	using	use	VERB
ejpam-5908	31	12	η	η	NOUN
ejpam-5908	31	13	-	-	NOUN
ejpam-5908	31	14	ifss	ifss	NOUN
ejpam-5908	31	15	and	and	CCONJ
ejpam-5908	31	16	showed	show	VERB
ejpam-5908	31	17	that	that	SCONJ
ejpam-5908	31	18	each	each	DET
ejpam-5908	31	19	ifsg	ifsg	NOUN
ejpam-5908	31	20	is	be	AUX
ejpam-5908	31	21	an	an	DET
ejpam-5908	31	22	η	η	NOUN
ejpam-5908	31	23	-	-	NOUN
ejpam-5908	31	24	ifsg	ifsg	NOUN
ejpam-5908	31	25	.	.	PUNCT
ejpam-5908	32	1	in	in	ADP
ejpam-5908	32	2	addition	addition	NOUN
ejpam-5908	32	3	,	,	PUNCT
ejpam-5908	32	4	the	the	DET
ejpam-5908	32	5	study	study	NOUN
ejpam-5908	32	6	defined	define	VERB
ejpam-5908	32	7	η	η	ADJ
ejpam-5908	32	8	-	-	ADJ
ejpam-5908	32	9	intuitionistic	intuitionistic	ADJ
ejpam-5908	32	10	fuzzy	fuzzy	ADJ
ejpam-5908	32	11	cosets	coset	NOUN
ejpam-5908	32	12	and	and	CCONJ
ejpam-5908	32	13	η	η	ADJ
ejpam-5908	32	14	-	-	ADJ
ejpam-5908	32	15	intuitionistic	intuitionistic	ADJ
ejpam-5908	32	16	fuzzy	fuzzy	ADJ
ejpam-5908	32	17	normal	normal	ADJ
ejpam-5908	32	18	subgroups	subgroup	NOUN
ejpam-5908	32	19	(	(	PUNCT
ejpam-5908	32	20	ifnsgs	ifnsg	NOUN
ejpam-5908	32	21	)	)	PUNCT
ejpam-5908	32	22	of	of	ADP
ejpam-5908	32	23	a	a	DET
ejpam-5908	32	24	given	give	VERB
ejpam-5908	32	25	group	group	NOUN
ejpam-5908	32	26	.	.	PUNCT
ejpam-5908	33	1	gulzar	gulzar	PROPN
ejpam-5908	33	2	et	et	PROPN
ejpam-5908	33	3	al	al	PROPN
ejpam-5908	33	4	.	.	PUNCT
ejpam-5908	34	1	[	[	X
ejpam-5908	34	2	23	23	NUM
ejpam-5908	34	3	]	]	PUNCT
ejpam-5908	34	4	presented	present	VERB
ejpam-5908	34	5	some	some	DET
ejpam-5908	34	6	properties	property	NOUN
ejpam-5908	34	7	of	of	ADP
ejpam-5908	34	8	t	t	PROPN
ejpam-5908	34	9	-	-	PUNCT
ejpam-5908	34	10	ifsgs	ifsgs	NOUN
ejpam-5908	34	11	,	,	PUNCT
ejpam-5908	34	12	rasuli	rasuli	PROPN
ejpam-5908	35	1	[	[	X
ejpam-5908	35	2	24	24	NUM
ejpam-5908	35	3	]	]	PUNCT
ejpam-5908	35	4	discussed	discuss	VERB
ejpam-5908	35	5	tnorn	tnorn	ADJ
ejpam-5908	35	6	and	and	CCONJ
ejpam-5908	35	7	s	s	NOUN
ejpam-5908	35	8	-	-	NOUN
ejpam-5908	35	9	norm	norm	NOUN
ejpam-5908	35	10	of	of	ADP
ejpam-5908	35	11	ifsgs	ifsg	NOUN
ejpam-5908	35	12	,	,	PUNCT
ejpam-5908	35	13	and	and	CCONJ
ejpam-5908	35	14	latif	latif	PROPN
ejpam-5908	35	15	and	and	CCONJ
ejpam-5908	35	16	shuaib	shuaib	NOUN
ejpam-5908	36	1	[	[	X
ejpam-5908	36	2	25	25	NUM
ejpam-5908	36	3	]	]	PUNCT
ejpam-5908	36	4	applied	apply	VERB
ejpam-5908	36	5	t	t	PROPN
ejpam-5908	36	6	-	-	PUNCT
ejpam-5908	36	7	ifsgs	ifsgs	NOUN
ejpam-5908	36	8	to	to	PART
ejpam-5908	36	9	discuss	discuss	VERB
ejpam-5908	36	10	the	the	DET
ejpam-5908	36	11	famous	famous	ADJ
ejpam-5908	36	12	sylow	sylow	NOUN
ejpam-5908	36	13	theory	theory	NOUN
ejpam-5908	36	14	.	.	PUNCT
ejpam-5908	37	1	furthermore	furthermore	ADV
ejpam-5908	37	2	,	,	PUNCT
ejpam-5908	37	3	the	the	DET
ejpam-5908	37	4	notion	notion	NOUN
ejpam-5908	37	5	of	of	ADP
ejpam-5908	37	6	intuitionistic	intuitionistic	ADJ
ejpam-5908	37	7	anti	anti	ADJ
ejpam-5908	37	8	-	-	ADJ
ejpam-5908	37	9	fuzzy	fuzzy	ADJ
ejpam-5908	37	10	subgroups	subgroup	NOUN
ejpam-5908	37	11	was	be	AUX
ejpam-5908	37	12	deliberated	deliberate	VERB
ejpam-5908	37	13	in	in	ADP
ejpam-5908	37	14	[	[	X
ejpam-5908	37	15	26	26	NUM
ejpam-5908	37	16	]	]	PUNCT
ejpam-5908	37	17	and	and	CCONJ
ejpam-5908	37	18	husban	husban	PROPN
ejpam-5908	37	19	et	et	PROPN
ejpam-5908	37	20	al	al	PROPN
ejpam-5908	37	21	.	.	PUNCT
ejpam-5908	38	1	[	[	X
ejpam-5908	38	2	27	27	NUM
ejpam-5908	38	3	]	]	PUNCT
ejpam-5908	38	4	discussed	discuss	VERB
ejpam-5908	38	5	complex	complex	ADJ
ejpam-5908	38	6	intuitionistic	intuitionistic	ADJ
ejpam-5908	38	7	fuzzy	fuzzy	ADJ
ejpam-5908	38	8	group	group	NOUN
ejpam-5908	38	9	(	(	PUNCT
ejpam-5908	38	10	cifg	cifg	NOUN
ejpam-5908	38	11	)	)	PUNCT
ejpam-5908	38	12	by	by	ADP
ejpam-5908	38	13	permitting	permit	VERB
ejpam-5908	38	14	the	the	DET
ejpam-5908	38	15	degrees	degree	NOUN
ejpam-5908	38	16	of	of	ADP
ejpam-5908	38	17	membership	membership	NOUN
ejpam-5908	38	18	and	and	CCONJ
ejpam-5908	38	19	non	non	ADJ
ejpam-5908	38	20	-	-	NOUN
ejpam-5908	38	21	membership	membership	NOUN
ejpam-5908	38	22	to	to	PART
ejpam-5908	38	23	include	include	VERB
ejpam-5908	38	24	complex	complex	ADJ
ejpam-5908	38	25	numbers	number	NOUN
ejpam-5908	38	26	.	.	PUNCT
ejpam-5908	39	1	subsequently	subsequently	ADV
ejpam-5908	39	2	,	,	PUNCT
ejpam-5908	39	3	husban	husban	PROPN
ejpam-5908	39	4	et	et	PROPN
ejpam-5908	39	5	al	al	PROPN
ejpam-5908	39	6	.	.	PUNCT
ejpam-5908	40	1	[	[	X
ejpam-5908	40	2	28	28	NUM
ejpam-5908	40	3	]	]	PUNCT
ejpam-5908	40	4	discussed	discuss	VERB
ejpam-5908	40	5	normality	normality	NOUN
ejpam-5908	40	6	in	in	ADP
ejpam-5908	40	7	cifgs	cifgs	NOUN
ejpam-5908	40	8	with	with	ADP
ejpam-5908	40	9	some	some	DET
ejpam-5908	40	10	properties	property	NOUN
ejpam-5908	40	11	,	,	PUNCT
ejpam-5908	40	12	al	al	PROPN
ejpam-5908	40	13	-	-	PUNCT
ejpam-5908	40	14	sharoa	sharoa	NOUN
ejpam-5908	40	15	[	[	X
ejpam-5908	40	16	29	29	NUM
ejpam-5908	40	17	]	]	PUNCT
ejpam-5908	40	18	presented	present	VERB
ejpam-5908	40	19	α1,2	α1,2	ADJ
ejpam-5908	40	20	and	and	CCONJ
ejpam-5908	40	21	β1,2	β1,2	NUM
ejpam-5908	40	22	cuts	cut	NOUN
ejpam-5908	40	23	of	of	ADP
ejpam-5908	40	24	cifsgs	cifsg	NOUN
ejpam-5908	40	25	with	with	ADP
ejpam-5908	40	26	their	their	PRON
ejpam-5908	40	27	algebraic	algebraic	ADJ
ejpam-5908	40	28	properties	property	NOUN
ejpam-5908	40	29	,	,	PUNCT
ejpam-5908	40	30	and	and	CCONJ
ejpam-5908	40	31	rasuli	rasuli	ADJ
ejpam-5908	41	1	[	[	X
ejpam-5908	41	2	30	30	NUM
ejpam-5908	41	3	]	]	PUNCT
ejpam-5908	41	4	discussed	discuss	VERB
ejpam-5908	41	5	tnorn	tnorn	ADJ
ejpam-5908	41	6	and	and	CCONJ
ejpam-5908	41	7	s	s	NOUN
ejpam-5908	41	8	-	-	NOUN
ejpam-5908	41	9	norm	norm	NOUN
ejpam-5908	41	10	for	for	ADP
ejpam-5908	41	11	cifsgs	cifsg	NOUN
ejpam-5908	41	12	.	.	PUNCT
ejpam-5908	42	1	although	although	SCONJ
ejpam-5908	42	2	many	many	ADJ
ejpam-5908	42	3	group	group	NOUN
ejpam-5908	42	4	theoretical	theoretical	ADJ
ejpam-5908	42	5	properties	property	NOUN
ejpam-5908	42	6	have	have	AUX
ejpam-5908	42	7	been	be	AUX
ejpam-5908	42	8	discussed	discuss	VERB
ejpam-5908	42	9	in	in	ADP
ejpam-5908	42	10	ifgs	ifgs	NOUN
ejpam-5908	42	11	,	,	PUNCT
ejpam-5908	42	12	it	it	PRON
ejpam-5908	42	13	is	be	AUX
ejpam-5908	42	14	certain	certain	ADJ
ejpam-5908	42	15	that	that	SCONJ
ejpam-5908	42	16	simple	simple	ADJ
ejpam-5908	42	17	intuitionistic	intuitionistic	ADJ
ejpam-5908	42	18	fuzzy	fuzzy	ADJ
ejpam-5908	42	19	groups	group	NOUN
ejpam-5908	42	20	,	,	PUNCT
ejpam-5908	42	21	maximal	maximal	ADJ
ejpam-5908	42	22	normal	normal	ADJ
ejpam-5908	42	23	intuitionistic	intuitionistic	ADJ
ejpam-5908	42	24	fuzzy	fuzzy	ADJ
ejpam-5908	42	25	subgroups	subgroup	NOUN
ejpam-5908	42	26	,	,	PUNCT
ejpam-5908	42	27	normal	normal	ADJ
ejpam-5908	42	28	series	series	NOUN
ejpam-5908	42	29	for	for	ADP
ejpam-5908	42	30	intuitionistic	intuitionistic	ADJ
ejpam-5908	42	31	fuzzy	fuzzy	ADJ
ejpam-5908	42	32	groups	group	NOUN
ejpam-5908	42	33	,	,	PUNCT
ejpam-5908	42	34	composition	composition	NOUN
ejpam-5908	42	35	series	series	NOUN
ejpam-5908	42	36	for	for	ADP
ejpam-5908	42	37	intuitionistic	intuitionistic	ADJ
ejpam-5908	42	38	fuzzy	fuzzy	ADJ
ejpam-5908	42	39	groups	group	NOUN
ejpam-5908	42	40	,	,	PUNCT
ejpam-5908	42	41	and	and	CCONJ
ejpam-5908	42	42	the	the	DET
ejpam-5908	42	43	jordan	jordan	PROPN
ejpam-5908	42	44	-	-	PUNCT
ejpam-5908	42	45	hölder	hölder	PROPN
ejpam-5908	42	46	theorem	theorem	NOUN
ejpam-5908	42	47	under	under	ADP
ejpam-5908	42	48	ifg	ifg	NOUN
ejpam-5908	42	49	have	have	AUX
ejpam-5908	42	50	not	not	PART
ejpam-5908	42	51	been	be	AUX
ejpam-5908	42	52	studied	study	VERB
ejpam-5908	42	53	.	.	PUNCT
ejpam-5908	43	1	the	the	DET
ejpam-5908	43	2	motivation	motivation	NOUN
ejpam-5908	43	3	for	for	ADP
ejpam-5908	43	4	this	this	DET
ejpam-5908	43	5	work	work	NOUN
ejpam-5908	43	6	is	be	AUX
ejpam-5908	43	7	to	to	PART
ejpam-5908	43	8	establish	establish	VERB
ejpam-5908	43	9	simple	simple	ADJ
ejpam-5908	43	10	groups	group	NOUN
ejpam-5908	43	11	,	,	PUNCT
ejpam-5908	43	12	maximal	maximal	ADJ
ejpam-5908	43	13	normal	normal	ADJ
ejpam-5908	43	14	subgroups	subgroup	NOUN
ejpam-5908	43	15	,	,	PUNCT
ejpam-5908	43	16	normal	normal	ADJ
ejpam-5908	43	17	series	series	NOUN
ejpam-5908	43	18	,	,	PUNCT
ejpam-5908	43	19	composition	composition	NOUN
ejpam-5908	43	20	series	series	NOUN
ejpam-5908	43	21	,	,	PUNCT
ejpam-5908	43	22	and	and	CCONJ
ejpam-5908	43	23	the	the	DET
ejpam-5908	43	24	jordan	jordan	PROPN
ejpam-5908	43	25	-	-	PUNCT
ejpam-5908	43	26	hölder	hölder	PROPN
ejpam-5908	43	27	theorem	theorem	NOUN
ejpam-5908	43	28	in	in	ADP
ejpam-5908	43	29	the	the	DET
ejpam-5908	43	30	context	context	NOUN
ejpam-5908	43	31	of	of	ADP
ejpam-5908	43	32	ifgs	ifgs	PROPN
ejpam-5908	43	33	.	.	PUNCT
ejpam-5908	44	1	the	the	DET
ejpam-5908	44	2	following	follow	VERB
ejpam-5908	44	3	are	be	AUX
ejpam-5908	44	4	the	the	DET
ejpam-5908	44	5	contributions	contribution	NOUN
ejpam-5908	44	6	of	of	ADP
ejpam-5908	44	7	the	the	DET
ejpam-5908	44	8	article	article	NOUN
ejpam-5908	44	9	:	:	PUNCT
ejpam-5908	44	10	(	(	PUNCT
ejpam-5908	44	11	i	i	NOUN
ejpam-5908	44	12	)	)	PUNCT
ejpam-5908	44	13	the	the	DET
ejpam-5908	44	14	idea	idea	NOUN
ejpam-5908	44	15	of	of	ADP
ejpam-5908	44	16	simple	simple	ADJ
ejpam-5908	44	17	group	group	NOUN
ejpam-5908	44	18	and	and	CCONJ
ejpam-5908	44	19	maximal	maximal	ADJ
ejpam-5908	44	20	normality	normality	NOUN
ejpam-5908	44	21	are	be	AUX
ejpam-5908	44	22	established	establish	VERB
ejpam-5908	44	23	in	in	ADP
ejpam-5908	44	24	the	the	DET
ejpam-5908	44	25	context	context	NOUN
ejpam-5908	44	26	of	of	ADP
ejpam-5908	44	27	ifgs	ifgs	PROPN
ejpam-5908	44	28	.	.	PUNCT
ejpam-5908	45	1	(	(	PUNCT
ejpam-5908	45	2	ii	ii	NOUN
ejpam-5908	45	3	)	)	PUNCT
ejpam-5908	45	4	normal	normal	ADJ
ejpam-5908	45	5	series	series	NOUN
ejpam-5908	45	6	and	and	CCONJ
ejpam-5908	45	7	composition	composition	NOUN
ejpam-5908	45	8	series	series	NOUN
ejpam-5908	45	9	for	for	ADP
ejpam-5908	45	10	ifgs	ifgs	PROPN
ejpam-5908	45	11	are	be	AUX
ejpam-5908	45	12	presented	present	VERB
ejpam-5908	45	13	,	,	PUNCT
ejpam-5908	45	14	exemplied	exemplie	VERB
ejpam-5908	45	15	,	,	PUNCT
ejpam-5908	45	16	and	and	CCONJ
ejpam-5908	45	17	discussed	discuss	VERB
ejpam-5908	45	18	with	with	ADP
ejpam-5908	45	19	the	the	DET
ejpam-5908	45	20	aid	aid	NOUN
ejpam-5908	45	21	of	of	ADP
ejpam-5908	45	22	some	some	DET
ejpam-5908	45	23	theorems	theorem	NOUN
ejpam-5908	45	24	.	.	PUNCT
ejpam-5908	46	1	(	(	PUNCT
ejpam-5908	46	2	iii	iii	X
ejpam-5908	46	3	)	)	PUNCT
ejpam-5908	46	4	the	the	DET
ejpam-5908	46	5	famous	famous	ADJ
ejpam-5908	46	6	jordan	jordan	PROPN
ejpam-5908	46	7	-	-	PUNCT
ejpam-5908	46	8	hölder	hölder	PROPN
ejpam-5908	46	9	theorem	theorem	NOUN
ejpam-5908	46	10	is	be	AUX
ejpam-5908	46	11	investigated	investigate	VERB
ejpam-5908	46	12	under	under	ADP
ejpam-5908	46	13	ifg	ifg	NOUN
ejpam-5908	46	14	by	by	ADP
ejpam-5908	46	15	using	use	VERB
ejpam-5908	46	16	composition	composition	NOUN
ejpam-5908	46	17	series	series	NOUN
ejpam-5908	46	18	for	for	ADP
ejpam-5908	46	19	ifgs	ifgs	PROPN
ejpam-5908	46	20	.	.	PUNCT
ejpam-5908	47	1	p.	p.	NOUN
ejpam-5908	47	2	a.	a.	NOUN
ejpam-5908	47	3	ejegwa	ejegwa	PROPN
ejpam-5908	47	4	,	,	PUNCT
ejpam-5908	47	5	n.	n.	PROPN
ejpam-5908	47	6	kausar	kausar	PROPN
ejpam-5908	47	7	,	,	PUNCT
ejpam-5908	47	8	t.	t.	NOUN
ejpam-5908	47	9	cagin	cagin	PROPN
ejpam-5908	47	10	/	/	SYM
ejpam-5908	47	11	eur	eur	PROPN
ejpam-5908	47	12	.	.	PUNCT
ejpam-5908	48	1	j.	j.	PROPN
ejpam-5908	48	2	pure	pure	PROPN
ejpam-5908	48	3	appl	appl	PROPN
ejpam-5908	48	4	.	.	PROPN
ejpam-5908	48	5	math	math	PROPN
ejpam-5908	48	6	,	,	PUNCT
ejpam-5908	48	7	18	18	NUM
ejpam-5908	48	8	(	(	PUNCT
ejpam-5908	48	9	2	2	NUM
ejpam-5908	48	10	)	)	PUNCT
ejpam-5908	48	11	(	(	PUNCT
ejpam-5908	48	12	2025	2025	NUM
ejpam-5908	48	13	)	)	PUNCT
ejpam-5908	48	14	,	,	PUNCT
ejpam-5908	48	15	5908	5908	NUM
ejpam-5908	48	16	3	3	NUM
ejpam-5908	48	17	of	of	ADP
ejpam-5908	48	18	11	11	NUM
ejpam-5908	48	19	the	the	DET
ejpam-5908	48	20	rest	rest	NOUN
ejpam-5908	48	21	of	of	ADP
ejpam-5908	48	22	the	the	DET
ejpam-5908	48	23	paper	paper	NOUN
ejpam-5908	48	24	are	be	AUX
ejpam-5908	48	25	outlined	outline	VERB
ejpam-5908	48	26	as	as	SCONJ
ejpam-5908	48	27	follows	follow	VERB
ejpam-5908	48	28	:	:	PUNCT
ejpam-5908	48	29	section	section	NOUN
ejpam-5908	48	30	2	2	NUM
ejpam-5908	48	31	presents	present	VERB
ejpam-5908	48	32	ifss	ifss	NOUN
ejpam-5908	48	33	,	,	PUNCT
ejpam-5908	48	34	ifsgs	ifsg	NOUN
ejpam-5908	48	35	,	,	PUNCT
ejpam-5908	48	36	and	and	CCONJ
ejpam-5908	48	37	their	their	PRON
ejpam-5908	48	38	properties	property	NOUN
ejpam-5908	48	39	;	;	PUNCT
ejpam-5908	48	40	section	section	NOUN
ejpam-5908	48	41	3	3	NUM
ejpam-5908	48	42	introduces	introduce	VERB
ejpam-5908	48	43	the	the	DET
ejpam-5908	48	44	concepts	concept	NOUN
ejpam-5908	48	45	of	of	ADP
ejpam-5908	48	46	simple	simple	ADJ
ejpam-5908	48	47	ifgs	ifg	VERB
ejpam-5908	48	48	,	,	PUNCT
ejpam-5908	48	49	maximal	maximal	ADJ
ejpam-5908	48	50	normal	normal	ADJ
ejpam-5908	48	51	ifsgs	ifsg	NOUN
ejpam-5908	48	52	,	,	PUNCT
ejpam-5908	48	53	normal	normal	ADJ
ejpam-5908	48	54	series	series	NOUN
ejpam-5908	48	55	for	for	ADP
ejpam-5908	48	56	ifgs	ifgs	PROPN
ejpam-5908	48	57	,	,	PUNCT
ejpam-5908	48	58	composition	composition	NOUN
ejpam-5908	48	59	series	series	NOUN
ejpam-5908	48	60	for	for	ADP
ejpam-5908	48	61	ifgs	ifgs	PROPN
ejpam-5908	48	62	,	,	PUNCT
ejpam-5908	48	63	and	and	CCONJ
ejpam-5908	48	64	the	the	DET
ejpam-5908	48	65	jordan	jordan	PROPN
ejpam-5908	48	66	-	-	PUNCT
ejpam-5908	48	67	hölder	hölder	PROPN
ejpam-5908	48	68	theorem	theorem	NOUN
ejpam-5908	48	69	under	under	ADP
ejpam-5908	48	70	ifgs	ifgs	NOUN
ejpam-5908	48	71	;	;	PUNCT
ejpam-5908	48	72	and	and	CCONJ
ejpam-5908	48	73	section	section	NOUN
ejpam-5908	48	74	4	4	NUM
ejpam-5908	48	75	concludes	conclude	VERB
ejpam-5908	48	76	the	the	DET
ejpam-5908	48	77	paper	paper	NOUN
ejpam-5908	48	78	.	.	PUNCT
ejpam-5908	49	1	2	2	X
ejpam-5908	49	2	.	.	X
ejpam-5908	49	3	preliminaries	preliminary	NOUN
ejpam-5908	49	4	throughout	throughout	ADP
ejpam-5908	49	5	the	the	DET
ejpam-5908	49	6	paper	paper	NOUN
ejpam-5908	49	7	,	,	PUNCT
ejpam-5908	49	8	the	the	DET
ejpam-5908	49	9	symbols	symbol	NOUN
ejpam-5908	49	10	s	s	PART
ejpam-5908	49	11	and	and	CCONJ
ejpam-5908	49	12	g	g	PROPN
ejpam-5908	49	13	represent	represent	VERB
ejpam-5908	49	14	a	a	DET
ejpam-5908	49	15	non	non	ADJ
ejpam-5908	49	16	-	-	ADJ
ejpam-5908	49	17	empty	empty	ADJ
ejpam-5908	49	18	set	set	NOUN
ejpam-5908	49	19	and	and	CCONJ
ejpam-5908	49	20	a	a	DET
ejpam-5908	49	21	group	group	NOUN
ejpam-5908	49	22	,	,	PUNCT
ejpam-5908	49	23	respectively	respectively	ADV
ejpam-5908	49	24	.	.	PUNCT
ejpam-5908	50	1	definition	definition	NOUN
ejpam-5908	50	2	1	1	NUM
ejpam-5908	50	3	(	(	PUNCT
ejpam-5908	50	4	[	[	X
ejpam-5908	50	5	1	1	NUM
ejpam-5908	50	6	]	]	NUM
ejpam-5908	50	7	)	)	PUNCT
ejpam-5908	50	8	.	.	PUNCT
ejpam-5908	51	1	a	a	DET
ejpam-5908	51	2	fuzzy	fuzzy	ADJ
ejpam-5908	51	3	subset	subset	VERB
ejpam-5908	51	4	ζ	ζ	NOUN
ejpam-5908	51	5	of	of	ADP
ejpam-5908	51	6	s	s	PRON
ejpam-5908	51	7	is	be	AUX
ejpam-5908	51	8	presented	present	VERB
ejpam-5908	51	9	as	as	ADP
ejpam-5908	51	10	:	:	PUNCT
ejpam-5908	51	11	ζ	ζ	NOUN
ejpam-5908	51	12	=	=	SYM
ejpam-5908	51	13	{	{	PUNCT
ejpam-5908	51	14	⟨s	⟨s	NOUN
ejpam-5908	51	15	,	,	PUNCT
ejpam-5908	51	16	ζm(s)⟩	ζm(s)⟩	NOUN
ejpam-5908	51	17	|	|	ADV
ejpam-5908	51	18	s	s	NOUN
ejpam-5908	51	19	∈	∈	NOUN
ejpam-5908	51	20	s	s	PART
ejpam-5908	51	21	}	}	PUNCT
ejpam-5908	51	22	,	,	PUNCT
ejpam-5908	51	23	(	(	PUNCT
ejpam-5908	51	24	1	1	X
ejpam-5908	51	25	)	)	PUNCT
ejpam-5908	51	26	where	where	SCONJ
ejpam-5908	51	27	ζm	ζm	ADP
ejpam-5908	51	28	:	:	PUNCT
ejpam-5908	51	29	x	x	X
ejpam-5908	51	30	→	→	SYM
ejpam-5908	51	31	[	[	X
ejpam-5908	51	32	0	0	NUM
ejpam-5908	51	33	,	,	PUNCT
ejpam-5908	51	34	1	1	NUM
ejpam-5908	51	35	]	]	PUNCT
ejpam-5908	51	36	is	be	AUX
ejpam-5908	51	37	the	the	DET
ejpam-5908	51	38	membership	membership	NOUN
ejpam-5908	51	39	degree	degree	NOUN
ejpam-5908	51	40	of	of	ADP
ejpam-5908	51	41	s	s	NOUN
ejpam-5908	51	42	∈	∈	NOUN
ejpam-5908	51	43	x.	x.	NOUN
ejpam-5908	51	44	definition	definition	NOUN
ejpam-5908	51	45	2	2	NUM
ejpam-5908	51	46	(	(	PUNCT
ejpam-5908	51	47	[	[	X
ejpam-5908	51	48	2	2	NUM
ejpam-5908	51	49	]	]	NUM
ejpam-5908	51	50	)	)	PUNCT
ejpam-5908	51	51	.	.	PUNCT
ejpam-5908	52	1	a	a	DET
ejpam-5908	52	2	fuzzy	fuzzy	ADJ
ejpam-5908	52	3	subset	subset	VERB
ejpam-5908	52	4	ζ	ζ	NOUN
ejpam-5908	52	5	of	of	ADP
ejpam-5908	52	6	g	g	PROPN
ejpam-5908	52	7	is	be	AUX
ejpam-5908	52	8	a	a	DET
ejpam-5908	52	9	fuzzy	fuzzy	ADJ
ejpam-5908	52	10	subgroup	subgroup	NOUN
ejpam-5908	52	11	of	of	ADP
ejpam-5908	52	12	g	g	PROPN
ejpam-5908	52	13	if	if	SCONJ
ejpam-5908	52	14	(	(	PUNCT
ejpam-5908	52	15	i	i	NOUN
ejpam-5908	52	16	)	)	PUNCT
ejpam-5908	52	17	ζm(xy	ζm(xy	PROPN
ejpam-5908	52	18	)	)	PUNCT
ejpam-5908	52	19	≥	≥	PROPN
ejpam-5908	52	20	min	min	PROPN
ejpam-5908	52	21	{	{	PUNCT
ejpam-5908	52	22	ζm(x	ζm(x	NOUN
ejpam-5908	52	23	)	)	PUNCT
ejpam-5908	52	24	,	,	PUNCT
ejpam-5908	52	25	ζm(y	ζm(y	NUM
ejpam-5908	52	26	)	)	PUNCT
ejpam-5908	52	27	}	}	PUNCT
ejpam-5908	52	28	∀	∀	X
ejpam-5908	52	29	x	x	NOUN
ejpam-5908	52	30	,	,	PUNCT
ejpam-5908	52	31	y	y	PROPN
ejpam-5908	52	32	∈	∈	PROPN
ejpam-5908	52	33	g	g	PROPN
ejpam-5908	52	34	,	,	PUNCT
ejpam-5908	52	35	(	(	PUNCT
ejpam-5908	52	36	ii	ii	NOUN
ejpam-5908	52	37	)	)	PUNCT
ejpam-5908	52	38	ζm(x−1	ζm(x−1	NOUN
ejpam-5908	52	39	)	)	PUNCT
ejpam-5908	52	40	=	=	SYM
ejpam-5908	52	41	ζm(x	ζm(x	X
ejpam-5908	52	42	)	)	PUNCT
ejpam-5908	52	43	∀	∀	X
ejpam-5908	53	1	x	x	SYM
ejpam-5908	53	2	∈	∈	PROPN
ejpam-5908	53	3	g.	g.	NOUN
ejpam-5908	53	4	in	in	ADP
ejpam-5908	53	5	addition	addition	NOUN
ejpam-5908	53	6	,	,	PUNCT
ejpam-5908	53	7	ζm(e	ζm(e	PUNCT
ejpam-5908	53	8	)	)	PUNCT
ejpam-5908	53	9	=	=	SYM
ejpam-5908	53	10	ζm(xx−1	ζm(xx−1	NOUN
ejpam-5908	53	11	)	)	PUNCT
ejpam-5908	53	12	≥	≥	NOUN
ejpam-5908	53	13	min	min	PROPN
ejpam-5908	53	14	{	{	PUNCT
ejpam-5908	53	15	ζm(x	ζm(x	NOUN
ejpam-5908	53	16	)	)	PUNCT
ejpam-5908	53	17	,	,	PUNCT
ejpam-5908	53	18	ζm(x	ζm(x	X
ejpam-5908	53	19	)	)	PUNCT
ejpam-5908	53	20	}	}	PUNCT
ejpam-5908	53	21	=	=	SYM
ejpam-5908	53	22	ζm(x	ζm(x	X
ejpam-5908	53	23	)	)	PUNCT
ejpam-5908	53	24	∀	∀	X
ejpam-5908	54	1	x	x	X
ejpam-5908	54	2	∈	∈	NOUN
ejpam-5908	54	3	g	g	NOUN
ejpam-5908	54	4	,	,	PUNCT
ejpam-5908	54	5	where	where	SCONJ
ejpam-5908	54	6	e	e	NOUN
ejpam-5908	54	7	is	be	AUX
ejpam-5908	54	8	the	the	DET
ejpam-5908	54	9	unit	unit	NOUN
ejpam-5908	54	10	element	element	NOUN
ejpam-5908	54	11	of	of	ADP
ejpam-5908	54	12	g.	g.	PROPN
ejpam-5908	54	13	definition	definition	NOUN
ejpam-5908	54	14	3	3	NUM
ejpam-5908	54	15	(	(	PUNCT
ejpam-5908	54	16	[	[	X
ejpam-5908	54	17	5	5	NUM
ejpam-5908	54	18	]	]	NUM
ejpam-5908	54	19	)	)	PUNCT
ejpam-5908	54	20	.	.	PUNCT
ejpam-5908	55	1	an	an	DET
ejpam-5908	55	2	ifs	ifs	PROPN
ejpam-5908	55	3	λ	λ	PROPN
ejpam-5908	55	4	of	of	ADP
ejpam-5908	55	5	s	s	PROPN
ejpam-5908	55	6	is	be	AUX
ejpam-5908	55	7	presented	present	VERB
ejpam-5908	55	8	as	as	ADP
ejpam-5908	55	9	:	:	PUNCT
ejpam-5908	55	10	λ	λ	X
ejpam-5908	55	11	=	=	SYM
ejpam-5908	55	12	{	{	PUNCT
ejpam-5908	55	13	⟨s	⟨s	NOUN
ejpam-5908	55	14	,	,	PUNCT
ejpam-5908	55	15	λm(s	λm(s	NOUN
ejpam-5908	55	16	)	)	PUNCT
ejpam-5908	55	17	,	,	PUNCT
ejpam-5908	56	1	λn(s)⟩	λn(s)⟩	PROPN
ejpam-5908	56	2	|	|	NOUN
ejpam-5908	56	3	s	s	VERB
ejpam-5908	56	4	∈	∈	NOUN
ejpam-5908	56	5	s	s	PART
ejpam-5908	56	6	}	}	PUNCT
ejpam-5908	56	7	=	=	SYM
ejpam-5908	56	8	{	{	PUNCT
ejpam-5908	56	9	⟨λm(s	⟨λm(s	NOUN
ejpam-5908	56	10	)	)	PUNCT
ejpam-5908	56	11	,	,	PUNCT
ejpam-5908	56	12	λn(s	λn(s	NOUN
ejpam-5908	56	13	)	)	PUNCT
ejpam-5908	56	14	s	s	PART
ejpam-5908	56	15	⟩	⟩	NOUN
ejpam-5908	56	16	|	|	NOUN
ejpam-5908	56	17	s	s	VERB
ejpam-5908	56	18	∈	∈	PROPN
ejpam-5908	56	19	s	s	PART
ejpam-5908	56	20	}	}	PUNCT
ejpam-5908	56	21			NOUN
ejpam-5908	56	22	,	,	PUNCT
ejpam-5908	56	23	(	(	PUNCT
ejpam-5908	56	24	2	2	X
ejpam-5908	56	25	)	)	PUNCT
ejpam-5908	56	26	where	where	SCONJ
ejpam-5908	56	27	λm	λm	ADP
ejpam-5908	56	28	:	:	PUNCT
ejpam-5908	56	29	x	x	X
ejpam-5908	56	30	→	→	SYM
ejpam-5908	56	31	[	[	X
ejpam-5908	56	32	0	0	NUM
ejpam-5908	56	33	,	,	PUNCT
ejpam-5908	56	34	1	1	NUM
ejpam-5908	56	35	]	]	PUNCT
ejpam-5908	56	36	and	and	CCONJ
ejpam-5908	56	37	λn	λn	X
ejpam-5908	56	38	:	:	PUNCT
ejpam-5908	56	39	x	x	X
ejpam-5908	56	40	→	→	SYM
ejpam-5908	56	41	[	[	X
ejpam-5908	56	42	0	0	NUM
ejpam-5908	56	43	,	,	PUNCT
ejpam-5908	56	44	1	1	NUM
ejpam-5908	56	45	]	]	PUNCT
ejpam-5908	56	46	are	be	AUX
ejpam-5908	56	47	the	the	DET
ejpam-5908	56	48	membership	membership	NOUN
ejpam-5908	56	49	and	and	CCONJ
ejpam-5908	56	50	non	non	ADJ
ejpam-5908	56	51	-	-	ADJ
ejpam-5908	56	52	membership	membership	ADJ
ejpam-5908	56	53	grades	grade	NOUN
ejpam-5908	56	54	of	of	ADP
ejpam-5908	56	55	s	s	NOUN
ejpam-5908	56	56	∈	∈	NOUN
ejpam-5908	56	57	s	s	X
ejpam-5908	56	58	and	and	CCONJ
ejpam-5908	56	59	0	0	NUM
ejpam-5908	56	60	≤	≤	NOUN
ejpam-5908	56	61	λm(s	λm(s	NUM
ejpam-5908	56	62	)	)	PUNCT
ejpam-5908	56	63	+	+	NUM
ejpam-5908	56	64	λn(s	λn(	NOUN
ejpam-5908	56	65	)	)	PUNCT
ejpam-5908	56	66	≤	≤	NUM
ejpam-5908	56	67	1	1	NUM
ejpam-5908	56	68	.	.	PUNCT
ejpam-5908	57	1	definition	definition	NOUN
ejpam-5908	57	2	4	4	NUM
ejpam-5908	57	3	(	(	PUNCT
ejpam-5908	57	4	[	[	X
ejpam-5908	57	5	6	6	NUM
ejpam-5908	57	6	]	]	PUNCT
ejpam-5908	57	7	)	)	PUNCT
ejpam-5908	57	8	.	.	PUNCT
ejpam-5908	58	1	let	let	VERB
ejpam-5908	58	2	λ	λ	PROPN
ejpam-5908	58	3	and	and	CCONJ
ejpam-5908	58	4	γ	γ	NOUN
ejpam-5908	58	5	be	be	AUX
ejpam-5908	58	6	ifss	ifss	ADJ
ejpam-5908	58	7	of	of	ADP
ejpam-5908	58	8	s.	s.	PROPN
ejpam-5908	58	9	then	then	ADV
ejpam-5908	58	10	,	,	PUNCT
ejpam-5908	58	11	(	(	PUNCT
ejpam-5908	58	12	i	i	NOUN
ejpam-5908	59	1	)	)	PUNCT
ejpam-5908	59	2	λ	λ	X
ejpam-5908	59	3	=	=	PUNCT
ejpam-5908	59	4	γ	γ	X
ejpam-5908	59	5	⇐	⇐	ADJ
ejpam-5908	59	6	⇒	⇒	NOUN
ejpam-5908	59	7	λm(s	λm(s	NOUN
ejpam-5908	59	8	)	)	PUNCT
ejpam-5908	59	9	=	=	SYM
ejpam-5908	59	10	γm(s	γm(s	X
ejpam-5908	59	11	)	)	PUNCT
ejpam-5908	59	12	and	and	CCONJ
ejpam-5908	59	13	λn(s	λn(s	NOUN
ejpam-5908	59	14	)	)	PUNCT
ejpam-5908	59	15	=	=	SYM
ejpam-5908	59	16	γn(s	γn(s	X
ejpam-5908	59	17	)	)	PUNCT
ejpam-5908	59	18	∀s	∀s	X
ejpam-5908	59	19	∈	∈	PROPN
ejpam-5908	59	20	s	s	PROPN
ejpam-5908	59	21	,	,	PUNCT
ejpam-5908	59	22	(	(	PUNCT
ejpam-5908	59	23	ii	ii	NOUN
ejpam-5908	59	24	)	)	PUNCT
ejpam-5908	59	25	λ	λ	PROPN
ejpam-5908	59	26	⊆	⊆	NUM
ejpam-5908	59	27	γ	γ	X
ejpam-5908	59	28	⇐	⇐	ADJ
ejpam-5908	59	29	⇒	⇒	NOUN
ejpam-5908	59	30	λm(s	λm(s	NOUN
ejpam-5908	59	31	)	)	PUNCT
ejpam-5908	59	32	≤	≤	NUM
ejpam-5908	59	33	γm(s	γm(s	NUM
ejpam-5908	59	34	)	)	PUNCT
ejpam-5908	59	35	and	and	CCONJ
ejpam-5908	59	36	λn(s	λn(	NOUN
ejpam-5908	59	37	)	)	PUNCT
ejpam-5908	59	38	≥	≥	NOUN
ejpam-5908	59	39	γn(s	γn(s	X
ejpam-5908	59	40	)	)	PUNCT
ejpam-5908	59	41	∀s	∀s	X
ejpam-5908	59	42	∈	∈	PROPN
ejpam-5908	59	43	s	s	PROPN
ejpam-5908	59	44	,	,	PUNCT
ejpam-5908	59	45	(	(	PUNCT
ejpam-5908	59	46	iii	iii	X
ejpam-5908	59	47	)	)	PUNCT
ejpam-5908	59	48	λ	λ	NOUN
ejpam-5908	59	49	∩	∩	NOUN
ejpam-5908	59	50	γ	γ	X
ejpam-5908	59	51	=	=	SYM
ejpam-5908	59	52	{	{	PUNCT
ejpam-5908	59	53	⟨s	⟨s	PROPN
ejpam-5908	59	54	,	,	PUNCT
ejpam-5908	59	55	min{λm(s	min{λm(s	PROPN
ejpam-5908	59	56	)	)	PUNCT
ejpam-5908	59	57	,	,	PUNCT
ejpam-5908	59	58	γm(s)},max{λn(s	γm(s)},max{λn(s	PROPN
ejpam-5908	59	59	)	)	PUNCT
ejpam-5908	59	60	,	,	PUNCT
ejpam-5908	59	61	γn(s)}⟩	γn(s)}⟩	PUNCT
ejpam-5908	60	1	|	|	ADV
ejpam-5908	60	2	s	s	VERB
ejpam-5908	60	3	∈	∈	PROPN
ejpam-5908	60	4	s	s	PART
ejpam-5908	60	5	}	}	PUNCT
ejpam-5908	60	6	,	,	PUNCT
ejpam-5908	60	7	(	(	PUNCT
ejpam-5908	60	8	iv	iv	X
ejpam-5908	60	9	)	)	PUNCT
ejpam-5908	60	10	λ	λ	NOUN
ejpam-5908	60	11	∪	∪	VERB
ejpam-5908	60	12	γ	γ	X
ejpam-5908	60	13	=	=	SYM
ejpam-5908	60	14	{	{	PUNCT
ejpam-5908	60	15	⟨s	⟨s	PROPN
ejpam-5908	60	16	,	,	PUNCT
ejpam-5908	60	17	max{λm(s	max{λm(s	PROPN
ejpam-5908	60	18	)	)	PUNCT
ejpam-5908	60	19	,	,	PUNCT
ejpam-5908	60	20	γm(s)},min{λn(s	γm(s)},min{λn(s	PROPN
ejpam-5908	60	21	)	)	PUNCT
ejpam-5908	60	22	,	,	PUNCT
ejpam-5908	60	23	γn(s)}⟩	γn(s)}⟩	PUNCT
ejpam-5908	61	1	|	|	ADV
ejpam-5908	61	2	s	s	VERB
ejpam-5908	61	3	∈	∈	PROPN
ejpam-5908	61	4	s	s	PART
ejpam-5908	61	5	}	}	PUNCT
ejpam-5908	61	6	.	.	PUNCT
ejpam-5908	62	1	definition	definition	NOUN
ejpam-5908	62	2	5	5	NUM
ejpam-5908	62	3	(	(	PUNCT
ejpam-5908	62	4	[	[	X
ejpam-5908	62	5	8	8	NUM
ejpam-5908	62	6	]	]	NUM
ejpam-5908	62	7	)	)	PUNCT
ejpam-5908	62	8	.	.	PUNCT
ejpam-5908	63	1	an	an	DET
ejpam-5908	63	2	ifs	ifs	PROPN
ejpam-5908	63	3	λ	λ	PROPN
ejpam-5908	63	4	of	of	ADP
ejpam-5908	63	5	g	g	PROPN
ejpam-5908	63	6	is	be	AUX
ejpam-5908	63	7	an	an	DET
ejpam-5908	63	8	ifg	ifg	NOUN
ejpam-5908	63	9	/	/	SYM
ejpam-5908	63	10	ifsg	ifsg	NOUN
ejpam-5908	63	11	of	of	ADP
ejpam-5908	63	12	g	g	PROPN
ejpam-5908	64	1	if	if	SCONJ
ejpam-5908	64	2	(	(	PUNCT
ejpam-5908	64	3	i	i	NOUN
ejpam-5908	64	4	)	)	PUNCT
ejpam-5908	64	5	λm(xy	λm(xy	PROPN
ejpam-5908	64	6	)	)	PUNCT
ejpam-5908	64	7	≥	≥	PROPN
ejpam-5908	64	8	min	min	PROPN
ejpam-5908	64	9	{	{	PUNCT
ejpam-5908	64	10	λm(x	λm(x	PROPN
ejpam-5908	64	11	)	)	PUNCT
ejpam-5908	64	12	,	,	PUNCT
ejpam-5908	64	13	λm(y	λm(y	PROPN
ejpam-5908	64	14	)	)	PUNCT
ejpam-5908	64	15	}	}	PUNCT
ejpam-5908	64	16	and	and	CCONJ
ejpam-5908	64	17	λn(xy	λn(xy	PROPN
ejpam-5908	64	18	)	)	PUNCT
ejpam-5908	64	19	≤	≤	NUM
ejpam-5908	64	20	max	max	PROPN
ejpam-5908	64	21	{	{	PUNCT
ejpam-5908	64	22	λn(x	λn(x	NUM
ejpam-5908	64	23	)	)	PUNCT
ejpam-5908	64	24	,	,	PUNCT
ejpam-5908	64	25	λn(y	λn(y	NUM
ejpam-5908	64	26	)	)	PUNCT
ejpam-5908	64	27	}	}	PUNCT
ejpam-5908	64	28	∀	∀	PUNCT
ejpam-5908	64	29	x	x	NOUN
ejpam-5908	64	30	,	,	PUNCT
ejpam-5908	64	31	y	y	PROPN
ejpam-5908	64	32	∈	∈	PROPN
ejpam-5908	64	33	g	g	PROPN
ejpam-5908	64	34	,	,	PUNCT
ejpam-5908	64	35	p.	p.	NOUN
ejpam-5908	64	36	a.	a.	NOUN
ejpam-5908	64	37	ejegwa	ejegwa	PROPN
ejpam-5908	64	38	,	,	PUNCT
ejpam-5908	64	39	n.	n.	PROPN
ejpam-5908	64	40	kausar	kausar	PROPN
ejpam-5908	64	41	,	,	PUNCT
ejpam-5908	64	42	t.	t.	NOUN
ejpam-5908	64	43	cagin	cagin	PROPN
ejpam-5908	64	44	/	/	SYM
ejpam-5908	64	45	eur	eur	PROPN
ejpam-5908	64	46	.	.	PUNCT
ejpam-5908	65	1	j.	j.	PROPN
ejpam-5908	65	2	pure	pure	PROPN
ejpam-5908	65	3	appl	appl	PROPN
ejpam-5908	65	4	.	.	PROPN
ejpam-5908	65	5	math	math	PROPN
ejpam-5908	65	6	,	,	PUNCT
ejpam-5908	65	7	18	18	NUM
ejpam-5908	65	8	(	(	PUNCT
ejpam-5908	65	9	2	2	NUM
ejpam-5908	65	10	)	)	PUNCT
ejpam-5908	65	11	(	(	PUNCT
ejpam-5908	65	12	2025	2025	NUM
ejpam-5908	65	13	)	)	PUNCT
ejpam-5908	65	14	,	,	PUNCT
ejpam-5908	65	15	5908	5908	NUM
ejpam-5908	65	16	4	4	NUM
ejpam-5908	65	17	of	of	ADP
ejpam-5908	65	18	11	11	NUM
ejpam-5908	65	19	(	(	PUNCT
ejpam-5908	65	20	ii	ii	NOUN
ejpam-5908	65	21	)	)	PUNCT
ejpam-5908	65	22	λm(x−1	λm(x−1	PROPN
ejpam-5908	65	23	)	)	PUNCT
ejpam-5908	65	24	=	=	SYM
ejpam-5908	65	25	λm(x	λm(x	X
ejpam-5908	65	26	)	)	PUNCT
ejpam-5908	65	27	and	and	CCONJ
ejpam-5908	65	28	λn(x	λn(x	X
ejpam-5908	65	29	−1	−1	NOUN
ejpam-5908	65	30	)	)	PUNCT
ejpam-5908	65	31	=	=	SYM
ejpam-5908	65	32	λn(x	λn(x	X
ejpam-5908	65	33	)	)	PUNCT
ejpam-5908	65	34	∀	∀	X
ejpam-5908	66	1	x	x	SYM
ejpam-5908	66	2	∈	∈	PROPN
ejpam-5908	66	3	g.	g.	NOUN
ejpam-5908	66	4	in	in	ADP
ejpam-5908	66	5	addition	addition	NOUN
ejpam-5908	66	6	,	,	PUNCT
ejpam-5908	66	7	ζm(e	ζm(e	PUNCT
ejpam-5908	66	8	)	)	PUNCT
ejpam-5908	66	9	=	=	SYM
ejpam-5908	66	10	λm(xx−1	λm(xx−1	NOUN
ejpam-5908	66	11	)	)	PUNCT
ejpam-5908	66	12	≥	≥	NOUN
ejpam-5908	66	13	min	min	NOUN
ejpam-5908	66	14	{	{	PUNCT
ejpam-5908	66	15	λm(x	λm(x	PROPN
ejpam-5908	66	16	)	)	PUNCT
ejpam-5908	66	17	,	,	PUNCT
ejpam-5908	66	18	λm(x	λm(x	X
ejpam-5908	66	19	)	)	PUNCT
ejpam-5908	66	20	}	}	PUNCT
ejpam-5908	66	21	=	=	SYM
ejpam-5908	66	22	λm(x	λm(x	NUM
ejpam-5908	66	23	)	)	PUNCT
ejpam-5908	66	24	,	,	PUNCT
ejpam-5908	66	25	λn(e	λn(e	X
ejpam-5908	66	26	)	)	PUNCT
ejpam-5908	67	1	=	=	SYM
ejpam-5908	68	1	λn(xx	λn(xx	NOUN
ejpam-5908	68	2	−1	−1	NOUN
ejpam-5908	68	3	)	)	PUNCT
ejpam-5908	69	1	≤	≤	NUM
ejpam-5908	69	2	max	max	PROPN
ejpam-5908	69	3	{	{	PUNCT
ejpam-5908	69	4	λn(x	λn(x	NUM
ejpam-5908	69	5	)	)	PUNCT
ejpam-5908	69	6	,	,	PUNCT
ejpam-5908	69	7	λn(x	λn(x	NUM
ejpam-5908	69	8	)	)	PUNCT
ejpam-5908	69	9	}	}	PUNCT
ejpam-5908	69	10	=	=	SYM
ejpam-5908	69	11	λn(x	λn(x	X
ejpam-5908	69	12	)	)	PUNCT
ejpam-5908	69	13			NOUN
ejpam-5908	69	14	,	,	PUNCT
ejpam-5908	69	15	(	(	PUNCT
ejpam-5908	69	16	3	3	X
ejpam-5908	69	17	)	)	PUNCT
ejpam-5908	69	18	∀	∀	X
ejpam-5908	69	19	x	x	X
ejpam-5908	69	20	∈	∈	NOUN
ejpam-5908	69	21	g	g	NOUN
ejpam-5908	69	22	,	,	PUNCT
ejpam-5908	69	23	where	where	SCONJ
ejpam-5908	69	24	e	e	NOUN
ejpam-5908	69	25	is	be	AUX
ejpam-5908	69	26	the	the	DET
ejpam-5908	69	27	unit	unit	NOUN
ejpam-5908	69	28	element	element	NOUN
ejpam-5908	69	29	of	of	ADP
ejpam-5908	69	30	g.	g.	PROPN
ejpam-5908	69	31	the	the	DET
ejpam-5908	69	32	order	order	NOUN
ejpam-5908	69	33	of	of	ADP
ejpam-5908	69	34	λ	λ	PROPN
ejpam-5908	69	35	is	be	AUX
ejpam-5908	69	36	defined	define	VERB
ejpam-5908	69	37	by	by	ADP
ejpam-5908	69	38	|λ|	|λ|	PROPN
ejpam-5908	69	39	=	=	SYM
ejpam-5908	69	40	k∑	k∑	PROPN
ejpam-5908	69	41	i=1	i=1	PROPN
ejpam-5908	69	42	λm(xi	λm(xi	PROPN
ejpam-5908	69	43	)	)	PUNCT
ejpam-5908	70	1	+	+	CCONJ
ejpam-5908	70	2	k∑	k∑	ADJ
ejpam-5908	70	3	i=1	i=1	PROPN
ejpam-5908	70	4	λn(xi	λn(xi	PROPN
ejpam-5908	70	5	)	)	PUNCT
ejpam-5908	71	1	∀xi	∀xi	PROPN
ejpam-5908	71	2	∈	∈	PROPN
ejpam-5908	71	3	g.	g.	NOUN
ejpam-5908	71	4	(	(	PUNCT
ejpam-5908	71	5	4	4	X
ejpam-5908	71	6	)	)	PUNCT
ejpam-5908	71	7	|λ|	|λ|	NOUN
ejpam-5908	71	8	is	be	AUX
ejpam-5908	71	9	defined	define	VERB
ejpam-5908	71	10	by	by	ADP
ejpam-5908	71	11	the	the	DET
ejpam-5908	71	12	finiteness	finiteness	NOUN
ejpam-5908	71	13	of	of	ADP
ejpam-5908	71	14	g	g	NOUN
ejpam-5908	71	15	or	or	CCONJ
ejpam-5908	71	16	otherwise	otherwise	ADV
ejpam-5908	71	17	.	.	PUNCT
ejpam-5908	72	1	definition	definition	NOUN
ejpam-5908	72	2	6	6	NUM
ejpam-5908	72	3	(	(	PUNCT
ejpam-5908	72	4	[	[	X
ejpam-5908	72	5	8	8	NUM
ejpam-5908	72	6	]	]	PUNCT
ejpam-5908	72	7	)	)	PUNCT
ejpam-5908	72	8	.	.	PUNCT
ejpam-5908	73	1	let	let	VERB
ejpam-5908	73	2	λ	λ	PROPN
ejpam-5908	73	3	and	and	CCONJ
ejpam-5908	73	4	γ	γ	NOUN
ejpam-5908	73	5	be	be	AUX
ejpam-5908	73	6	ifgs	ifg	VERB
ejpam-5908	73	7	of	of	ADP
ejpam-5908	73	8	g.	g.	PROPN
ejpam-5908	73	9	then	then	ADV
ejpam-5908	73	10	,	,	PUNCT
ejpam-5908	73	11	λ	λ	PROPN
ejpam-5908	73	12	is	be	AUX
ejpam-5908	73	13	an	an	DET
ejpam-5908	73	14	ifsg	ifsg	NOUN
ejpam-5908	73	15	of	of	ADP
ejpam-5908	73	16	γ	γ	PROPN
ejpam-5908	73	17	if	if	SCONJ
ejpam-5908	73	18	λ	λ	PROPN
ejpam-5908	73	19	⊆	⊆	NUM
ejpam-5908	73	20	γ	γ	NOUN
ejpam-5908	73	21	.	.	PROPN
ejpam-5908	73	22	again	again	ADV
ejpam-5908	73	23	,	,	PUNCT
ejpam-5908	73	24	λ	λ	PROPN
ejpam-5908	73	25	is	be	AUX
ejpam-5908	73	26	a	a	DET
ejpam-5908	73	27	proper	proper	ADJ
ejpam-5908	73	28	ifsg	ifsg	NOUN
ejpam-5908	73	29	of	of	ADP
ejpam-5908	73	30	γ	γ	PROPN
ejpam-5908	73	31	if	if	SCONJ
ejpam-5908	73	32	λ	λ	PROPN
ejpam-5908	73	33	⊆	⊆	NUM
ejpam-5908	73	34	γ	γ	NOUN
ejpam-5908	73	35	and	and	CCONJ
ejpam-5908	73	36	β	β	PROPN
ejpam-5908	73	37	̸=	̸=	PROPN
ejpam-5908	73	38	γ	γ	PROPN
ejpam-5908	73	39	.	.	PROPN
ejpam-5908	73	40	definition	definition	NOUN
ejpam-5908	73	41	7	7	NUM
ejpam-5908	73	42	(	(	PUNCT
ejpam-5908	73	43	[	[	X
ejpam-5908	73	44	17	17	NUM
ejpam-5908	73	45	]	]	NUM
ejpam-5908	73	46	)	)	PUNCT
ejpam-5908	73	47	.	.	PUNCT
ejpam-5908	74	1	let	let	VERB
ejpam-5908	74	2	λ	λ	PRON
ejpam-5908	74	3	be	be	AUX
ejpam-5908	74	4	an	an	DET
ejpam-5908	74	5	ifg	ifg	NOUN
ejpam-5908	74	6	of	of	ADP
ejpam-5908	74	7	g.	g.	PROPN
ejpam-5908	74	8	then	then	ADV
ejpam-5908	74	9	,	,	PUNCT
ejpam-5908	74	10	the	the	DET
ejpam-5908	74	11	support	support	NOUN
ejpam-5908	74	12	of	of	ADP
ejpam-5908	74	13	λ	λ	NOUN
ejpam-5908	74	14	defined	define	VERB
ejpam-5908	74	15	by	by	ADP
ejpam-5908	74	16	:	:	PUNCT
ejpam-5908	74	17	λ∗	λ∗	PROPN
ejpam-5908	74	18	=	=	PUNCT
ejpam-5908	74	19	{	{	PUNCT
ejpam-5908	74	20	x	x	SYM
ejpam-5908	74	21	∈	∈	PROPN
ejpam-5908	74	22	g	g	NOUN
ejpam-5908	74	23	|	|	NOUN
ejpam-5908	74	24	λm(x	λm(x	PUNCT
ejpam-5908	74	25	)	)	PUNCT
ejpam-5908	74	26	>	>	X
ejpam-5908	74	27	0	0	PUNCT
ejpam-5908	74	28	and	and	CCONJ
ejpam-5908	74	29	λn(x	λn(x	NUM
ejpam-5908	74	30	)	)	PUNCT
ejpam-5908	74	31	<	<	X
ejpam-5908	74	32	0	0	NUM
ejpam-5908	74	33	}	}	PUNCT
ejpam-5908	74	34	,	,	PUNCT
ejpam-5908	74	35	(	(	PUNCT
ejpam-5908	74	36	5	5	X
ejpam-5908	74	37	)	)	PUNCT
ejpam-5908	74	38	is	be	AUX
ejpam-5908	74	39	a	a	DET
ejpam-5908	74	40	subgroup	subgroup	NOUN
ejpam-5908	74	41	of	of	ADP
ejpam-5908	74	42	g.	g.	PROPN
ejpam-5908	74	43	definition	definition	NOUN
ejpam-5908	74	44	8	8	NUM
ejpam-5908	74	45	(	(	PUNCT
ejpam-5908	74	46	[	[	X
ejpam-5908	74	47	31	31	NUM
ejpam-5908	74	48	]	]	PUNCT
ejpam-5908	74	49	)	)	PUNCT
ejpam-5908	74	50	.	.	PUNCT
ejpam-5908	75	1	let	let	VERB
ejpam-5908	75	2	λ	λ	PROPN
ejpam-5908	75	3	and	and	CCONJ
ejpam-5908	75	4	γ	γ	NOUN
ejpam-5908	75	5	be	be	AUX
ejpam-5908	75	6	ifgs	ifg	VERB
ejpam-5908	75	7	of	of	ADP
ejpam-5908	75	8	g.	g.	PROPN
ejpam-5908	75	9	then	then	ADV
ejpam-5908	75	10	,	,	PUNCT
ejpam-5908	75	11	the	the	DET
ejpam-5908	75	12	product	product	NOUN
ejpam-5908	75	13	λ	λ	X
ejpam-5908	75	14	◦	◦	NOUN
ejpam-5908	75	15	γ	γ	X
ejpam-5908	75	16	is	be	AUX
ejpam-5908	75	17	an	an	DET
ejpam-5908	75	18	ifs	ifs	PROPN
ejpam-5908	75	19	defined	define	VERB
ejpam-5908	75	20	as	as	ADP
ejpam-5908	75	21	:	:	PUNCT
ejpam-5908	75	22	(	(	PUNCT
ejpam-5908	75	23	λ	λ	INTJ
ejpam-5908	75	24	◦	◦	NOUN
ejpam-5908	75	25	γ)(g	γ)(g	NOUN
ejpam-5908	75	26	)	)	PUNCT
ejpam-5908	76	1	=	=	SYM
ejpam-5908	77	1			PROPN
ejpam-5908	77	2	∨	∨	NOUN
ejpam-5908	77	3	x	x	X
ejpam-5908	77	4	=	=	PROPN
ejpam-5908	77	5	yz	yz	X
ejpam-5908	77	6	min	min	PROPN
ejpam-5908	77	7	{	{	PUNCT
ejpam-5908	77	8	λm(y	λm(y	PROPN
ejpam-5908	77	9	)	)	PUNCT
ejpam-5908	77	10	,	,	PUNCT
ejpam-5908	77	11	γm(z	γm(z	NOUN
ejpam-5908	77	12	)	)	PUNCT
ejpam-5908	77	13	}	}	PUNCT
ejpam-5908	77	14	,	,	PUNCT
ejpam-5908	77	15	∧	∧	PROPN
ejpam-5908	77	16	x	x	SYM
ejpam-5908	77	17	=	=	PROPN
ejpam-5908	77	18	yz	yz	X
ejpam-5908	77	19	max	max	PROPN
ejpam-5908	77	20	{	{	PUNCT
ejpam-5908	77	21	λn(y	λn(y	NOUN
ejpam-5908	77	22	)	)	PUNCT
ejpam-5908	77	23	,	,	PUNCT
ejpam-5908	77	24	γn(z	γn(z	NUM
ejpam-5908	77	25	)	)	PUNCT
ejpam-5908	77	26	}	}	PUNCT
ejpam-5908	77	27	,	,	PUNCT
ejpam-5908	77	28	if	if	SCONJ
ejpam-5908	77	29	∃	∃	PROPN
ejpam-5908	77	30	x	x	PROPN
ejpam-5908	77	31	,	,	PUNCT
ejpam-5908	77	32	y	y	PROPN
ejpam-5908	77	33	∈	∈	PROPN
ejpam-5908	77	34	g	g	ADP
ejpam-5908	77	35	such	such	ADJ
ejpam-5908	77	36	that	that	PRON
ejpam-5908	77	37	x	x	X
ejpam-5908	77	38	=	=	PUNCT
ejpam-5908	77	39	yz	yz	PROPN
ejpam-5908	77	40	0	0	PROPN
ejpam-5908	77	41	,	,	PUNCT
ejpam-5908	77	42	otherwise	otherwise	ADV
ejpam-5908	77	43	.	.	PUNCT
ejpam-5908	78	1	(	(	PUNCT
ejpam-5908	78	2	6	6	X
ejpam-5908	78	3	)	)	PUNCT
ejpam-5908	78	4	definition	definition	NOUN
ejpam-5908	78	5	9	9	NUM
ejpam-5908	78	6	(	(	PUNCT
ejpam-5908	78	7	[	[	X
ejpam-5908	78	8	31	31	NUM
ejpam-5908	78	9	]	]	PUNCT
ejpam-5908	78	10	)	)	PUNCT
ejpam-5908	78	11	.	.	PUNCT
ejpam-5908	79	1	an	an	DET
ejpam-5908	79	2	ifg	ifg	PROPN
ejpam-5908	79	3	λ	λ	PROPN
ejpam-5908	79	4	of	of	ADP
ejpam-5908	79	5	g	g	PROPN
ejpam-5908	79	6	is	be	AUX
ejpam-5908	79	7	commutative	commutative	ADJ
ejpam-5908	79	8	if	if	SCONJ
ejpam-5908	79	9	λm(xy	λm(xy	NOUN
ejpam-5908	79	10	)	)	PUNCT
ejpam-5908	79	11	=	=	SYM
ejpam-5908	79	12	λm(yx	λm(yx	PROPN
ejpam-5908	79	13	)	)	PUNCT
ejpam-5908	79	14	and	and	CCONJ
ejpam-5908	79	15	λn(xy	λn(xy	PROPN
ejpam-5908	79	16	)	)	PUNCT
ejpam-5908	80	1	=	=	SYM
ejpam-5908	80	2	λn(yx	λn(yx	PROPN
ejpam-5908	80	3	)	)	PUNCT
ejpam-5908	80	4	∀x	∀x	NUM
ejpam-5908	80	5	,	,	PUNCT
ejpam-5908	80	6	y	y	PROPN
ejpam-5908	80	7	∈	∈	PROPN
ejpam-5908	80	8	g.	g.	PROPN
ejpam-5908	80	9	succinctly	succinctly	ADV
ejpam-5908	80	10	,	,	PUNCT
ejpam-5908	80	11	an	an	DET
ejpam-5908	80	12	ifg	ifg	NOUN
ejpam-5908	80	13	β	β	X
ejpam-5908	80	14	is	be	AUX
ejpam-5908	80	15	commutative	commutative	ADJ
ejpam-5908	80	16	if	if	SCONJ
ejpam-5908	80	17	g	g	PROPN
ejpam-5908	80	18	is	be	AUX
ejpam-5908	80	19	a	a	DET
ejpam-5908	80	20	commutative	commutative	ADJ
ejpam-5908	80	21	group	group	NOUN
ejpam-5908	80	22	.	.	PUNCT
ejpam-5908	81	1	definition	definition	NOUN
ejpam-5908	81	2	10	10	NUM
ejpam-5908	81	3	(	(	PUNCT
ejpam-5908	81	4	[	[	X
ejpam-5908	81	5	31	31	NUM
ejpam-5908	81	6	]	]	PUNCT
ejpam-5908	81	7	)	)	PUNCT
ejpam-5908	81	8	.	.	PUNCT
ejpam-5908	82	1	let	let	VERB
ejpam-5908	82	2	λ	λ	PROPN
ejpam-5908	82	3	and	and	CCONJ
ejpam-5908	82	4	γ	γ	NOUN
ejpam-5908	82	5	be	be	AUX
ejpam-5908	82	6	ifgs	ifg	VERB
ejpam-5908	82	7	of	of	ADP
ejpam-5908	82	8	g	g	NOUN
ejpam-5908	82	9	such	such	ADJ
ejpam-5908	82	10	that	that	SCONJ
ejpam-5908	82	11	λ	λ	PROPN
ejpam-5908	82	12	⊆	⊆	NUM
ejpam-5908	82	13	γ	γ	X
ejpam-5908	82	14	.	.	PUNCT
ejpam-5908	83	1	then	then	ADV
ejpam-5908	83	2	,	,	PUNCT
ejpam-5908	83	3	λ	λ	PROPN
ejpam-5908	83	4	is	be	AUX
ejpam-5908	83	5	an	an	DET
ejpam-5908	83	6	intuitionistic	intuitionistic	ADJ
ejpam-5908	83	7	fuzzy	fuzzy	ADJ
ejpam-5908	83	8	normal	normal	ADJ
ejpam-5908	83	9	subgroup	subgroup	NOUN
ejpam-5908	83	10	(	(	PUNCT
ejpam-5908	83	11	ifnsg	ifnsg	NOUN
ejpam-5908	83	12	)	)	PUNCT
ejpam-5908	83	13	of	of	ADP
ejpam-5908	83	14	γ	γ	PROPN
ejpam-5908	83	15	denoted	denote	VERB
ejpam-5908	83	16	as	as	ADP
ejpam-5908	83	17	λ	λ	PROPN
ejpam-5908	83	18	◁	◁	X
ejpam-5908	83	19	γ	γ	X
ejpam-5908	83	20	if	if	SCONJ
ejpam-5908	83	21	λm(xy	λm(xy	PROPN
ejpam-5908	83	22	)	)	PUNCT
ejpam-5908	83	23	=	=	SYM
ejpam-5908	83	24	λm(yx	λm(yx	PROPN
ejpam-5908	83	25	)	)	PUNCT
ejpam-5908	83	26	and	and	CCONJ
ejpam-5908	83	27	λn(xy	λn(xy	PROPN
ejpam-5908	83	28	)	)	PUNCT
ejpam-5908	84	1	=	=	SYM
ejpam-5908	84	2	λn(yx	λn(yx	PROPN
ejpam-5908	84	3	)	)	PUNCT
ejpam-5908	84	4	⇐	⇐	ADJ
ejpam-5908	84	5	⇒	⇒	NOUN
ejpam-5908	84	6	λm(y	λm(y	PUNCT
ejpam-5908	84	7	)	)	PUNCT
ejpam-5908	84	8	=	=	SYM
ejpam-5908	84	9	λm(x−1yx	λm(x−1yx	PROPN
ejpam-5908	84	10	)	)	PUNCT
ejpam-5908	84	11	and	and	CCONJ
ejpam-5908	84	12	λn(y	λn(y	NUM
ejpam-5908	84	13	)	)	PUNCT
ejpam-5908	84	14	=	=	SYM
ejpam-5908	84	15	λn(x	λn(x	X
ejpam-5908	84	16	−1yx	−1yx	NUM
ejpam-5908	84	17	)	)	PUNCT
ejpam-5908	84	18	∀	∀	X
ejpam-5908	85	1	x	x	NOUN
ejpam-5908	85	2	,	,	PUNCT
ejpam-5908	85	3	y	y	PROPN
ejpam-5908	85	4	∈	∈	PROPN
ejpam-5908	85	5	g.	g.	NOUN
ejpam-5908	85	6	definition	definition	NOUN
ejpam-5908	85	7	11	11	NUM
ejpam-5908	85	8	(	(	PUNCT
ejpam-5908	85	9	[	[	X
ejpam-5908	85	10	32	32	NUM
ejpam-5908	85	11	]	]	PUNCT
ejpam-5908	85	12	)	)	PUNCT
ejpam-5908	85	13	.	.	PUNCT
ejpam-5908	86	1	if	if	SCONJ
ejpam-5908	86	2	λ	λ	PROPN
ejpam-5908	86	3	is	be	AUX
ejpam-5908	86	4	an	an	DET
ejpam-5908	86	5	ifsg	ifsg	NOUN
ejpam-5908	86	6	of	of	ADP
ejpam-5908	86	7	g.	g.	PROPN
ejpam-5908	86	8	then	then	ADV
ejpam-5908	86	9	,	,	PUNCT
ejpam-5908	86	10	yλ	yλ	PROPN
ejpam-5908	86	11	for	for	ADP
ejpam-5908	86	12	y	y	PROPN
ejpam-5908	86	13	∈	∈	PROPN
ejpam-5908	86	14	g	g	PROPN
ejpam-5908	86	15	defined	define	VERB
ejpam-5908	86	16	by	by	ADP
ejpam-5908	86	17	(	(	PUNCT
ejpam-5908	86	18	yλ)m(x	yλ)m(x	NOUN
ejpam-5908	86	19	)	)	PUNCT
ejpam-5908	86	20	=	=	SYM
ejpam-5908	86	21	λm(y−1x	λm(y−1x	NOUN
ejpam-5908	86	22	)	)	PUNCT
ejpam-5908	86	23	and	and	CCONJ
ejpam-5908	86	24	(	(	PUNCT
ejpam-5908	86	25	yλ)n(x	yλ)n(x	NUM
ejpam-5908	86	26	)	)	PUNCT
ejpam-5908	86	27	=	=	SYM
ejpam-5908	86	28	λn(y	λn(y	X
ejpam-5908	86	29	−1x	−1x	PROPN
ejpam-5908	86	30	)	)	PUNCT
ejpam-5908	86	31	∀	∀	X
ejpam-5908	87	1	x	x	X
ejpam-5908	87	2	∈	∈	NOUN
ejpam-5908	87	3	g	g	PROPN
ejpam-5908	87	4	is	be	AUX
ejpam-5908	87	5	called	call	VERB
ejpam-5908	87	6	the	the	DET
ejpam-5908	87	7	left	left	ADJ
ejpam-5908	87	8	intuitionistic	intuitionistic	ADJ
ejpam-5908	87	9	fuzzy	fuzzy	ADJ
ejpam-5908	87	10	coset	coset	NOUN
ejpam-5908	87	11	(	(	PUNCT
ejpam-5908	87	12	ifcs	ifcs	PROPN
ejpam-5908	87	13	)	)	PUNCT
ejpam-5908	87	14	of	of	ADP
ejpam-5908	87	15	g.	g.	PROPN
ejpam-5908	87	16	similarly	similarly	ADV
ejpam-5908	87	17	,	,	PUNCT
ejpam-5908	87	18	λy	λy	PROPN
ejpam-5908	87	19	for	for	ADP
ejpam-5908	87	20	y	y	PROPN
ejpam-5908	87	21	∈	∈	PROPN
ejpam-5908	87	22	g	g	PROPN
ejpam-5908	87	23	defined	define	VERB
ejpam-5908	87	24	by	by	ADP
ejpam-5908	87	25	(	(	PUNCT
ejpam-5908	87	26	λy)m(x	λy)m(x	X
ejpam-5908	87	27	)	)	PUNCT
ejpam-5908	87	28	=	=	SYM
ejpam-5908	88	1	λm(xy−1	λm(xy−1	X
ejpam-5908	88	2	)	)	PUNCT
ejpam-5908	89	1	and	and	CCONJ
ejpam-5908	89	2	(	(	PUNCT
ejpam-5908	89	3	λy)n(x	λy)n(x	X
ejpam-5908	89	4	)	)	PUNCT
ejpam-5908	89	5	=	=	SYM
ejpam-5908	89	6	λn(xy	λn(xy	PROPN
ejpam-5908	89	7	−1	−1	NOUN
ejpam-5908	89	8	)	)	PUNCT
ejpam-5908	89	9	∀	∀	X
ejpam-5908	90	1	x	x	X
ejpam-5908	90	2	∈	∈	NOUN
ejpam-5908	90	3	g	g	PROPN
ejpam-5908	90	4	is	be	AUX
ejpam-5908	90	5	called	call	VERB
ejpam-5908	90	6	the	the	DET
ejpam-5908	90	7	right	right	ADJ
ejpam-5908	90	8	ifcs	ifcs	NOUN
ejpam-5908	90	9	of	of	ADP
ejpam-5908	90	10	g.	g.	PROPN
ejpam-5908	90	11	definition	definition	NOUN
ejpam-5908	90	12	12	12	NUM
ejpam-5908	90	13	(	(	PUNCT
ejpam-5908	90	14	[	[	X
ejpam-5908	90	15	33	33	NUM
ejpam-5908	90	16	]	]	PUNCT
ejpam-5908	90	17	)	)	PUNCT
ejpam-5908	90	18	.	.	PUNCT
ejpam-5908	91	1	suppose	suppose	VERB
ejpam-5908	91	2	λ	λ	NOUN
ejpam-5908	91	3	and	and	CCONJ
ejpam-5908	91	4	γ	γ	NOUN
ejpam-5908	91	5	are	be	AUX
ejpam-5908	91	6	ifgs	ifg	VERB
ejpam-5908	91	7	of	of	ADP
ejpam-5908	91	8	g	g	NOUN
ejpam-5908	91	9	and	and	CCONJ
ejpam-5908	91	10	λ	λ	X
ejpam-5908	92	1	◁	◁	X
ejpam-5908	92	2	γ	γ	X
ejpam-5908	92	3	.	.	PROPN
ejpam-5908	93	1	then	then	ADV
ejpam-5908	93	2	,	,	PUNCT
ejpam-5908	93	3	the	the	DET
ejpam-5908	93	4	collection	collection	NOUN
ejpam-5908	93	5	of	of	ADP
ejpam-5908	93	6	the	the	DET
ejpam-5908	93	7	left	left	ADJ
ejpam-5908	93	8	/	/	SYM
ejpam-5908	93	9	right	right	ADJ
ejpam-5908	93	10	ifcss	ifcss	NOUN
ejpam-5908	93	11	of	of	ADP
ejpam-5908	93	12	λ	λ	PROPN
ejpam-5908	94	1	such	such	ADJ
ejpam-5908	94	2	that	that	DET
ejpam-5908	94	3	xλ	xλ	PROPN
ejpam-5908	95	1	◦	◦	NOUN
ejpam-5908	95	2	yλ	yλ	X
ejpam-5908	95	3	=	=	PUNCT
ejpam-5908	95	4	xyλ	xyλ	NOUN
ejpam-5908	95	5	∀	∀	PUNCT
ejpam-5908	96	1	x	x	NOUN
ejpam-5908	96	2	,	,	PUNCT
ejpam-5908	96	3	y	y	PROPN
ejpam-5908	96	4	∈	∈	PROPN
ejpam-5908	96	5	g	g	PROPN
ejpam-5908	96	6	is	be	AUX
ejpam-5908	96	7	called	call	VERB
ejpam-5908	96	8	an	an	DET
ejpam-5908	96	9	intuitionistic	intuitionistic	ADJ
ejpam-5908	96	10	fuzzy	fuzzy	ADJ
ejpam-5908	96	11	factor	factor	NOUN
ejpam-5908	96	12	group	group	NOUN
ejpam-5908	96	13	(	(	PUNCT
ejpam-5908	96	14	iffg	iffg	PROPN
ejpam-5908	96	15	)	)	PUNCT
ejpam-5908	96	16	of	of	ADP
ejpam-5908	96	17	γ	γ	X
ejpam-5908	96	18	by	by	ADP
ejpam-5908	96	19	λ	λ	PROPN
ejpam-5908	96	20	,	,	PUNCT
ejpam-5908	96	21	represented	represent	VERB
ejpam-5908	96	22	by	by	ADP
ejpam-5908	96	23	γ	γ	PROPN
ejpam-5908	96	24	/	/	SYM
ejpam-5908	96	25	λ	λ	PROPN
ejpam-5908	96	26	.	.	PUNCT
ejpam-5908	97	1	p.	p.	NOUN
ejpam-5908	97	2	a.	a.	NOUN
ejpam-5908	97	3	ejegwa	ejegwa	PROPN
ejpam-5908	97	4	,	,	PUNCT
ejpam-5908	97	5	n.	n.	PROPN
ejpam-5908	97	6	kausar	kausar	PROPN
ejpam-5908	97	7	,	,	PUNCT
ejpam-5908	97	8	t.	t.	NOUN
ejpam-5908	97	9	cagin	cagin	PROPN
ejpam-5908	97	10	/	/	SYM
ejpam-5908	97	11	eur	eur	PROPN
ejpam-5908	97	12	.	.	PUNCT
ejpam-5908	98	1	j.	j.	PROPN
ejpam-5908	98	2	pure	pure	PROPN
ejpam-5908	98	3	appl	appl	PROPN
ejpam-5908	98	4	.	.	PROPN
ejpam-5908	98	5	math	math	PROPN
ejpam-5908	98	6	,	,	PUNCT
ejpam-5908	98	7	18	18	NUM
ejpam-5908	98	8	(	(	PUNCT
ejpam-5908	98	9	2	2	NUM
ejpam-5908	98	10	)	)	PUNCT
ejpam-5908	98	11	(	(	PUNCT
ejpam-5908	98	12	2025	2025	NUM
ejpam-5908	98	13	)	)	PUNCT
ejpam-5908	98	14	,	,	PUNCT
ejpam-5908	98	15	5908	5908	NUM
ejpam-5908	98	16	5	5	NUM
ejpam-5908	98	17	of	of	ADP
ejpam-5908	98	18	11	11	NUM
ejpam-5908	98	19	3	3	NUM
ejpam-5908	98	20	.	.	PUNCT
ejpam-5908	98	21	main	main	ADJ
ejpam-5908	98	22	results	result	NOUN
ejpam-5908	98	23	the	the	DET
ejpam-5908	98	24	jordan	jordan	PROPN
ejpam-5908	98	25	-	-	PUNCT
ejpam-5908	98	26	hölder	hölder	PROPN
ejpam-5908	98	27	therorem	therorem	NOUN
ejpam-5908	98	28	has	have	AUX
ejpam-5908	98	29	been	be	AUX
ejpam-5908	98	30	discused	discuse	VERB
ejpam-5908	98	31	in	in	ADP
ejpam-5908	98	32	group	group	NOUN
ejpam-5908	98	33	[	[	X
ejpam-5908	98	34	34	34	NUM
ejpam-5908	98	35	]	]	PUNCT
ejpam-5908	98	36	and	and	CCONJ
ejpam-5908	98	37	the	the	DET
ejpam-5908	98	38	decomposition	decomposition	NOUN
ejpam-5908	98	39	of	of	ADP
ejpam-5908	98	40	a	a	DET
ejpam-5908	98	41	crossed	cross	VERB
ejpam-5908	98	42	square	square	NOUN
ejpam-5908	98	43	[	[	X
ejpam-5908	98	44	35	35	NUM
ejpam-5908	98	45	]	]	PUNCT
ejpam-5908	98	46	.	.	PUNCT
ejpam-5908	99	1	the	the	DET
ejpam-5908	99	2	idea	idea	NOUN
ejpam-5908	99	3	of	of	ADP
ejpam-5908	99	4	the	the	DET
ejpam-5908	99	5	jordan	jordan	PROPN
ejpam-5908	99	6	-	-	PUNCT
ejpam-5908	99	7	hölder	hölder	PROPN
ejpam-5908	99	8	therorem	therorem	NOUN
ejpam-5908	99	9	has	have	AUX
ejpam-5908	99	10	not	not	PART
ejpam-5908	99	11	been	be	AUX
ejpam-5908	99	12	investigated	investigate	VERB
ejpam-5908	99	13	under	under	ADP
ejpam-5908	99	14	ifg	ifg	NOUN
ejpam-5908	99	15	.	.	PUNCT
ejpam-5908	100	1	before	before	SCONJ
ejpam-5908	100	2	we	we	PRON
ejpam-5908	100	3	introduce	introduce	VERB
ejpam-5908	100	4	normal	normal	ADJ
ejpam-5908	100	5	series	series	NOUN
ejpam-5908	100	6	for	for	ADP
ejpam-5908	100	7	ifgs	ifgs	PROPN
ejpam-5908	100	8	,	,	PUNCT
ejpam-5908	100	9	composition	composition	NOUN
ejpam-5908	100	10	series	series	NOUN
ejpam-5908	100	11	for	for	ADP
ejpam-5908	100	12	ifgs	ifgs	PROPN
ejpam-5908	100	13	,	,	PUNCT
ejpam-5908	100	14	and	and	CCONJ
ejpam-5908	100	15	jordan	jordan	PROPN
ejpam-5908	100	16	-	-	PUNCT
ejpam-5908	100	17	hölder	hölder	PROPN
ejpam-5908	100	18	therorem	therorem	VERB
ejpam-5908	100	19	under	under	ADP
ejpam-5908	100	20	ifgs	ifgs	PROPN
ejpam-5908	100	21	,	,	PUNCT
ejpam-5908	100	22	the	the	DET
ejpam-5908	100	23	notions	notion	NOUN
ejpam-5908	100	24	of	of	ADP
ejpam-5908	100	25	maximal	maximal	ADJ
ejpam-5908	100	26	ifnsg	ifnsg	NOUN
ejpam-5908	100	27	of	of	ADP
ejpam-5908	100	28	a	a	DET
ejpam-5908	100	29	ifg	ifg	NOUN
ejpam-5908	100	30	and	and	CCONJ
ejpam-5908	100	31	simple	simple	ADJ
ejpam-5908	100	32	ifgs	ifgs	NOUN
ejpam-5908	100	33	are	be	AUX
ejpam-5908	100	34	defined	define	VERB
ejpam-5908	100	35	.	.	PUNCT
ejpam-5908	101	1	using	use	VERB
ejpam-5908	101	2	definition	definition	NOUN
ejpam-5908	101	3	10	10	NUM
ejpam-5908	101	4	,	,	PUNCT
ejpam-5908	101	5	we	we	PRON
ejpam-5908	101	6	define	define	VERB
ejpam-5908	101	7	a	a	DET
ejpam-5908	101	8	maximal	maximal	ADJ
ejpam-5908	101	9	ifnsg	ifnsg	NOUN
ejpam-5908	101	10	of	of	ADP
ejpam-5908	101	11	an	an	DET
ejpam-5908	101	12	ifg	ifg	NOUN
ejpam-5908	101	13	as	as	SCONJ
ejpam-5908	101	14	follows	follow	VERB
ejpam-5908	101	15	:	:	PUNCT
ejpam-5908	101	16	definition	definition	NOUN
ejpam-5908	101	17	13	13	NUM
ejpam-5908	101	18	.	.	PUNCT
ejpam-5908	102	1	let	let	VERB
ejpam-5908	102	2	λ	λ	PROPN
ejpam-5908	102	3	and	and	CCONJ
ejpam-5908	102	4	γ	γ	NOUN
ejpam-5908	102	5	be	be	AUX
ejpam-5908	102	6	ifgs	ifg	VERB
ejpam-5908	102	7	of	of	ADP
ejpam-5908	102	8	g	g	NOUN
ejpam-5908	102	9	with	with	ADP
ejpam-5908	102	10	λ	λ	PROPN
ejpam-5908	102	11	◁	◁	X
ejpam-5908	102	12	γ	γ	X
ejpam-5908	102	13	.	.	PROPN
ejpam-5908	102	14	then	then	ADV
ejpam-5908	102	15	(	(	PUNCT
ejpam-5908	102	16	i	i	NOUN
ejpam-5908	102	17	)	)	PUNCT
ejpam-5908	102	18	λ	λ	NOUN
ejpam-5908	102	19	is	be	AUX
ejpam-5908	102	20	a	a	DET
ejpam-5908	102	21	maximal	maximal	ADJ
ejpam-5908	102	22	non	non	ADJ
ejpam-5908	102	23	-	-	ADJ
ejpam-5908	102	24	trivial	trivial	ADJ
ejpam-5908	102	25	ifnsg	ifnsg	NOUN
ejpam-5908	102	26	if	if	SCONJ
ejpam-5908	102	27	it	it	PRON
ejpam-5908	102	28	is	be	AUX
ejpam-5908	102	29	the	the	DET
ejpam-5908	102	30	largest	large	ADJ
ejpam-5908	102	31	proper	proper	ADJ
ejpam-5908	102	32	non	non	ADJ
ejpam-5908	102	33	-	-	ADJ
ejpam-5908	102	34	trivial	trivial	ADJ
ejpam-5908	102	35	ifnsg	ifnsg	NOUN
ejpam-5908	102	36	of	of	ADP
ejpam-5908	102	37	γ	γ	PROPN
ejpam-5908	102	38	.	.	PUNCT
ejpam-5908	102	39	(	(	PUNCT
ejpam-5908	102	40	ii	ii	NOUN
ejpam-5908	102	41	)	)	PUNCT
ejpam-5908	102	42	γ	γ	PROPN
ejpam-5908	102	43	is	be	AUX
ejpam-5908	102	44	simple	simple	ADJ
ejpam-5908	102	45	if	if	SCONJ
ejpam-5908	102	46	it	it	PRON
ejpam-5908	102	47	has	have	VERB
ejpam-5908	102	48	no	no	DET
ejpam-5908	102	49	proper	proper	ADJ
ejpam-5908	102	50	non	non	ADJ
ejpam-5908	102	51	-	-	ADJ
ejpam-5908	102	52	trivial	trivial	ADJ
ejpam-5908	102	53	ifnsg	ifnsg	NOUN
ejpam-5908	102	54	.	.	PUNCT
ejpam-5908	103	1	remark	remark	PROPN
ejpam-5908	103	2	1	1	NUM
ejpam-5908	103	3	.	.	PUNCT
ejpam-5908	104	1	an	an	DET
ejpam-5908	104	2	ifsg	ifsg	ADJ
ejpam-5908	104	3	λ	λ	PROPN
ejpam-5908	104	4	of	of	ADP
ejpam-5908	104	5	an	an	DET
ejpam-5908	104	6	ifg	ifg	NOUN
ejpam-5908	104	7	γ	γ	NOUN
ejpam-5908	104	8	in	in	ADP
ejpam-5908	104	9	g	g	PROPN
ejpam-5908	104	10	is	be	AUX
ejpam-5908	104	11	non	non	ADJ
ejpam-5908	104	12	-	-	ADJ
ejpam-5908	104	13	trivial	trivial	ADJ
ejpam-5908	104	14	if	if	SCONJ
ejpam-5908	104	15	λ∗	λ∗	NOUN
ejpam-5908	104	16	=	=	X
ejpam-5908	104	17	γ∗	γ∗	NOUN
ejpam-5908	104	18	=	=	PUNCT
ejpam-5908	104	19	g	g	PROPN
ejpam-5908	104	20	and	and	CCONJ
ejpam-5908	104	21	λ	λ	PROPN
ejpam-5908	104	22	̸=	̸=	PROPN
ejpam-5908	104	23	γ	γ	PROPN
ejpam-5908	104	24	.	.	PROPN
ejpam-5908	105	1	otherwise	otherwise	ADV
ejpam-5908	105	2	,	,	PUNCT
ejpam-5908	105	3	it	it	PRON
ejpam-5908	105	4	is	be	AUX
ejpam-5908	105	5	trivial	trivial	ADJ
ejpam-5908	105	6	.	.	PUNCT
ejpam-5908	106	1	example	example	NOUN
ejpam-5908	107	1	1	1	NUM
ejpam-5908	107	2	.	.	X
ejpam-5908	107	3	for	for	ADP
ejpam-5908	107	4	a	a	DET
ejpam-5908	107	5	given	give	VERB
ejpam-5908	107	6	cyclic	cyclic	ADJ
ejpam-5908	107	7	group	group	NOUN
ejpam-5908	107	8	g	g	NOUN
ejpam-5908	107	9	=	=	PUNCT
ejpam-5908	107	10	{	{	PUNCT
ejpam-5908	107	11	1	1	NUM
ejpam-5908	107	12	,	,	PUNCT
ejpam-5908	107	13	a	a	DET
ejpam-5908	107	14	,	,	PUNCT
ejpam-5908	107	15	a2	a2	PROPN
ejpam-5908	107	16	,	,	PUNCT
ejpam-5908	107	17	a3	a3	NOUN
ejpam-5908	107	18	}	}	PUNCT
ejpam-5908	107	19	where	where	SCONJ
ejpam-5908	107	20	a4	a4	NOUN
ejpam-5908	107	21	=	=	SYM
ejpam-5908	107	22	1	1	NUM
ejpam-5908	107	23	,	,	PUNCT
ejpam-5908	107	24	a−1	a−1	PROPN
ejpam-5908	107	25	=	=	PUNCT
ejpam-5908	107	26	a3	a3	PROPN
ejpam-5908	107	27	,	,	PUNCT
ejpam-5908	107	28	(	(	PUNCT
ejpam-5908	107	29	a2)−1	a2)−1	NOUN
ejpam-5908	107	30	=	=	SYM
ejpam-5908	107	31	a2	a2	PROPN
ejpam-5908	107	32	,	,	PUNCT
ejpam-5908	107	33	and	and	CCONJ
ejpam-5908	107	34	(	(	PUNCT
ejpam-5908	107	35	a3)−1	a3)−1	NOUN
ejpam-5908	107	36	=	=	SYM
ejpam-5908	107	37	a	a	X
ejpam-5908	107	38	,	,	PUNCT
ejpam-5908	107	39	we	we	PRON
ejpam-5908	107	40	define	define	VERB
ejpam-5908	107	41	an	an	DET
ejpam-5908	107	42	ifg	ifg	NOUN
ejpam-5908	107	43	λ	λ	NOUN
ejpam-5908	107	44	in	in	ADP
ejpam-5908	107	45	g	g	NOUN
ejpam-5908	107	46	as	as	ADP
ejpam-5908	107	47	:	:	PUNCT
ejpam-5908	107	48	λ	λ	X
ejpam-5908	107	49	=	=	SYM
ejpam-5908	107	50	{	{	PUNCT
ejpam-5908	107	51	⟨0.9	⟨0.9	PROPN
ejpam-5908	107	52	,	,	PUNCT
ejpam-5908	107	53	0.05	0.05	NUM
ejpam-5908	107	54	1	1	NUM
ejpam-5908	107	55	⟩	⟩	NOUN
ejpam-5908	107	56	,	,	PUNCT
ejpam-5908	107	57	⟨0.5	⟨0.5	PROPN
ejpam-5908	107	58	,	,	PUNCT
ejpam-5908	107	59	0.3	0.3	NUM
ejpam-5908	107	60	a	a	DET
ejpam-5908	107	61	⟩	⟩	NOUN
ejpam-5908	107	62	,	,	PUNCT
ejpam-5908	107	63	⟨0.6	⟨0.6	PROPN
ejpam-5908	107	64	,	,	PUNCT
ejpam-5908	107	65	0.2	0.2	NUM
ejpam-5908	107	66	a2	a2	PROPN
ejpam-5908	107	67	⟩	⟩	PROPN
ejpam-5908	107	68	,	,	PUNCT
ejpam-5908	107	69	⟨0.5	⟨0.5	PROPN
ejpam-5908	107	70	,	,	PUNCT
ejpam-5908	107	71	0.3	0.3	NUM
ejpam-5908	107	72	a3	a3	NOUN
ejpam-5908	107	73	⟩	⟩	PROPN
ejpam-5908	107	74	}	}	PUNCT
ejpam-5908	107	75	.	.	PUNCT
ejpam-5908	108	1	certainly	certainly	ADV
ejpam-5908	108	2	,	,	PUNCT
ejpam-5908	108	3	λ	λ	PROPN
ejpam-5908	108	4	is	be	AUX
ejpam-5908	108	5	commutative	commutative	ADJ
ejpam-5908	108	6	ifg	ifg	NOUN
ejpam-5908	108	7	.	.	PUNCT
ejpam-5908	109	1	then	then	ADV
ejpam-5908	109	2	,	,	PUNCT
ejpam-5908	109	3	the	the	DET
ejpam-5908	109	4	following	follow	VERB
ejpam-5908	109	5	are	be	AUX
ejpam-5908	109	6	the	the	DET
ejpam-5908	109	7	ifsgs	ifsgs	NOUN
ejpam-5908	109	8	of	of	ADP
ejpam-5908	109	9	λ	λ	NOUN
ejpam-5908	109	10	:	:	PUNCT
ejpam-5908	109	11	λ1	λ1	PROPN
ejpam-5908	109	12	=	=	SYM
ejpam-5908	109	13	{	{	PUNCT
ejpam-5908	109	14	⟨0.4	⟨0.4	PROPN
ejpam-5908	109	15	,	,	PUNCT
ejpam-5908	109	16	0.55	0.55	NUM
ejpam-5908	109	17	1	1	NUM
ejpam-5908	109	18	⟩	⟩	NOUN
ejpam-5908	109	19	,	,	PUNCT
ejpam-5908	109	20	⟨0.0	⟨0.0	PROPN
ejpam-5908	109	21	,	,	PUNCT
ejpam-5908	109	22	0.8	0.8	NUM
ejpam-5908	109	23	a	a	DET
ejpam-5908	109	24	⟩	⟩	NOUN
ejpam-5908	109	25	,	,	PUNCT
ejpam-5908	109	26	⟨0.1	⟨0.1	PROPN
ejpam-5908	109	27	,	,	PUNCT
ejpam-5908	109	28	0.5	0.5	NUM
ejpam-5908	109	29	a2	a2	PROPN
ejpam-5908	109	30	⟩	⟩	PROPN
ejpam-5908	109	31	,	,	PUNCT
ejpam-5908	109	32	⟨0.0	⟨0.0	PROPN
ejpam-5908	109	33	,	,	PUNCT
ejpam-5908	109	34	0.8	0.8	NUM
ejpam-5908	109	35	a3	a3	NOUN
ejpam-5908	109	36	⟩	⟩	PROPN
ejpam-5908	109	37	}	}	PUNCT
ejpam-5908	109	38	,	,	PUNCT
ejpam-5908	109	39	λ2	λ2	NOUN
ejpam-5908	109	40	=	=	SYM
ejpam-5908	109	41	{	{	PUNCT
ejpam-5908	109	42	⟨0.5	⟨0.5	NOUN
ejpam-5908	109	43	,	,	PUNCT
ejpam-5908	109	44	0.45	0.45	NUM
ejpam-5908	109	45	1	1	NUM
ejpam-5908	109	46	⟩	⟩	NOUN
ejpam-5908	109	47	,	,	PUNCT
ejpam-5908	109	48	⟨0.1	⟨0.1	PROPN
ejpam-5908	109	49	,	,	PUNCT
ejpam-5908	109	50	0.7	0.7	NUM
ejpam-5908	109	51	a	a	DET
ejpam-5908	109	52	⟩	⟩	NOUN
ejpam-5908	109	53	,	,	PUNCT
ejpam-5908	109	54	⟨0.2	⟨0.2	PROPN
ejpam-5908	109	55	,	,	PUNCT
ejpam-5908	109	56	0.6	0.6	NUM
ejpam-5908	109	57	a2	a2	PROPN
ejpam-5908	109	58	⟩	⟩	PROPN
ejpam-5908	109	59	,	,	PUNCT
ejpam-5908	109	60	⟨0.1	⟨0.1	PROPN
ejpam-5908	109	61	,	,	PUNCT
ejpam-5908	109	62	0.7	0.7	NUM
ejpam-5908	109	63	a3	a3	NOUN
ejpam-5908	109	64	⟩	⟩	PROPN
ejpam-5908	109	65	}	}	PUNCT
ejpam-5908	109	66	,	,	PUNCT
ejpam-5908	109	67	λ3	λ3	PROPN
ejpam-5908	109	68	=	=	SYM
ejpam-5908	109	69	{	{	PUNCT
ejpam-5908	109	70	⟨0.6	⟨0.6	PROPN
ejpam-5908	109	71	,	,	PUNCT
ejpam-5908	109	72	0.35	0.35	NUM
ejpam-5908	109	73	1	1	NUM
ejpam-5908	109	74	⟩	⟩	NOUN
ejpam-5908	109	75	,	,	PUNCT
ejpam-5908	109	76	⟨0.2	⟨0.2	PROPN
ejpam-5908	109	77	,	,	PUNCT
ejpam-5908	109	78	0.6	0.6	NUM
ejpam-5908	109	79	a	a	DET
ejpam-5908	109	80	⟩	⟩	NOUN
ejpam-5908	109	81	,	,	PUNCT
ejpam-5908	109	82	⟨0.3	⟨0.3	PROPN
ejpam-5908	109	83	,	,	PUNCT
ejpam-5908	109	84	0.5	0.5	NUM
ejpam-5908	109	85	a2	a2	PROPN
ejpam-5908	109	86	⟩	⟩	PROPN
ejpam-5908	109	87	,	,	PUNCT
ejpam-5908	109	88	⟨0.2	⟨0.2	PROPN
ejpam-5908	109	89	,	,	PUNCT
ejpam-5908	109	90	0.6	0.6	NUM
ejpam-5908	109	91	a3	a3	PROPN
ejpam-5908	109	92	⟩	⟩	PROPN
ejpam-5908	109	93	}	}	PUNCT
ejpam-5908	109	94	,	,	PUNCT
ejpam-5908	109	95	λ4	λ4	PROPN
ejpam-5908	109	96	=	=	PUNCT
ejpam-5908	109	97	{	{	PUNCT
ejpam-5908	109	98	⟨0.7	⟨0.7	ADJ
ejpam-5908	109	99	,	,	PUNCT
ejpam-5908	109	100	0.25	0.25	NUM
ejpam-5908	109	101	1	1	NUM
ejpam-5908	109	102	⟩	⟩	NOUN
ejpam-5908	109	103	,	,	PUNCT
ejpam-5908	109	104	⟨0.3	⟨0.3	PROPN
ejpam-5908	109	105	,	,	PUNCT
ejpam-5908	109	106	0.5	0.5	NUM
ejpam-5908	109	107	a	a	DET
ejpam-5908	109	108	⟩	⟩	NOUN
ejpam-5908	109	109	,	,	PUNCT
ejpam-5908	109	110	⟨0.4	⟨0.4	PROPN
ejpam-5908	109	111	,	,	PUNCT
ejpam-5908	109	112	0.4	0.4	NUM
ejpam-5908	109	113	a2	a2	PROPN
ejpam-5908	109	114	⟩	⟩	PROPN
ejpam-5908	109	115	,	,	PUNCT
ejpam-5908	109	116	⟨0.3	⟨0.3	PROPN
ejpam-5908	109	117	,	,	PUNCT
ejpam-5908	109	118	0.5	0.5	NUM
ejpam-5908	109	119	a3	a3	NOUN
ejpam-5908	109	120	⟩	⟩	PROPN
ejpam-5908	109	121	}	}	PUNCT
ejpam-5908	109	122	,	,	PUNCT
ejpam-5908	109	123	λ5	λ5	NOUN
ejpam-5908	109	124	=	=	SYM
ejpam-5908	109	125	{	{	PUNCT
ejpam-5908	109	126	⟨0.8	⟨0.8	PROPN
ejpam-5908	109	127	,	,	PUNCT
ejpam-5908	109	128	0.15	0.15	NUM
ejpam-5908	109	129	1	1	NUM
ejpam-5908	109	130	⟩	⟩	NOUN
ejpam-5908	109	131	,	,	PUNCT
ejpam-5908	109	132	⟨0.4	⟨0.4	PROPN
ejpam-5908	109	133	,	,	PUNCT
ejpam-5908	109	134	0.4	0.4	NUM
ejpam-5908	109	135	a	a	DET
ejpam-5908	109	136	⟩	⟩	NOUN
ejpam-5908	109	137	,	,	PUNCT
ejpam-5908	109	138	⟨0.5	⟨0.5	PROPN
ejpam-5908	109	139	,	,	PUNCT
ejpam-5908	109	140	0.3	0.3	NUM
ejpam-5908	109	141	a2	a2	PROPN
ejpam-5908	109	142	⟩	⟩	PROPN
ejpam-5908	109	143	,	,	PUNCT
ejpam-5908	109	144	⟨0.4	⟨0.4	PROPN
ejpam-5908	109	145	,	,	PUNCT
ejpam-5908	109	146	0.4	0.4	NUM
ejpam-5908	109	147	a3	a3	PROPN
ejpam-5908	109	148	⟩	⟩	PROPN
ejpam-5908	109	149	}	}	PUNCT
ejpam-5908	109	150	,	,	PUNCT
ejpam-5908	109	151	λ6	λ6	NOUN
ejpam-5908	109	152	=	=	PUNCT
ejpam-5908	109	153	{	{	PUNCT
ejpam-5908	109	154	⟨0.9	⟨0.9	PROPN
ejpam-5908	109	155	,	,	PUNCT
ejpam-5908	109	156	0.05	0.05	NUM
ejpam-5908	109	157	1	1	NUM
ejpam-5908	109	158	⟩	⟩	NOUN
ejpam-5908	109	159	,	,	PUNCT
ejpam-5908	109	160	⟨0.5	⟨0.5	PROPN
ejpam-5908	109	161	,	,	PUNCT
ejpam-5908	109	162	0.3	0.3	NUM
ejpam-5908	109	163	a	a	DET
ejpam-5908	109	164	⟩	⟩	NOUN
ejpam-5908	109	165	,	,	PUNCT
ejpam-5908	109	166	⟨0.6	⟨0.6	PROPN
ejpam-5908	109	167	,	,	PUNCT
ejpam-5908	109	168	0.2	0.2	NUM
ejpam-5908	109	169	a2	a2	PROPN
ejpam-5908	109	170	⟩	⟩	PROPN
ejpam-5908	109	171	,	,	PUNCT
ejpam-5908	109	172	⟨0.5	⟨0.5	PROPN
ejpam-5908	109	173	,	,	PUNCT
ejpam-5908	109	174	0.3	0.3	NUM
ejpam-5908	109	175	a3	a3	NOUN
ejpam-5908	109	176	⟩	⟩	PROPN
ejpam-5908	109	177	}	}	PUNCT
ejpam-5908	109	178	.	.	PUNCT
ejpam-5908	110	1	here	here	ADV
ejpam-5908	110	2	,	,	PUNCT
ejpam-5908	110	3	λ6	λ6	PROPN
ejpam-5908	110	4	is	be	AUX
ejpam-5908	110	5	a	a	DET
ejpam-5908	110	6	trivial	trivial	ADJ
ejpam-5908	110	7	ifsg	ifsg	NOUN
ejpam-5908	110	8	of	of	ADP
ejpam-5908	110	9	λ	λ	PROPN
ejpam-5908	110	10	because	because	SCONJ
ejpam-5908	110	11	λ6	λ6	PROPN
ejpam-5908	110	12	=	=	SYM
ejpam-5908	110	13	λ	λ	PROPN
ejpam-5908	110	14	,	,	PUNCT
ejpam-5908	110	15	and	and	CCONJ
ejpam-5908	110	16	λi	λi	VERB
ejpam-5908	110	17	for	for	ADP
ejpam-5908	110	18	i	i	PROPN
ejpam-5908	110	19	=	=	NOUN
ejpam-5908	110	20	1	1	NUM
ejpam-5908	110	21	,	,	PUNCT
ejpam-5908	110	22	2	2	NUM
ejpam-5908	110	23	,	,	PUNCT
ejpam-5908	110	24	3	3	NUM
ejpam-5908	110	25	,	,	PUNCT
ejpam-5908	110	26	4	4	NUM
ejpam-5908	110	27	,	,	PUNCT
ejpam-5908	110	28	5	5	NUM
ejpam-5908	110	29	are	be	AUX
ejpam-5908	110	30	proper	proper	ADJ
ejpam-5908	110	31	non	non	ADJ
ejpam-5908	110	32	-	-	ADJ
ejpam-5908	110	33	trivial	trivial	ADJ
ejpam-5908	110	34	ifnsg	ifnsg	NOUN
ejpam-5908	110	35	of	of	ADP
ejpam-5908	110	36	λ	λ	PROPN
ejpam-5908	110	37	,	,	PUNCT
ejpam-5908	110	38	and	and	CCONJ
ejpam-5908	110	39	so	so	ADV
ejpam-5908	110	40	λ	λ	NOUN
ejpam-5908	110	41	is	be	AUX
ejpam-5908	110	42	not	not	PART
ejpam-5908	110	43	a	a	DET
ejpam-5908	110	44	simple	simple	ADJ
ejpam-5908	110	45	ifg	ifg	NOUN
ejpam-5908	110	46	.	.	PUNCT
ejpam-5908	111	1	in	in	ADP
ejpam-5908	111	2	addition	addition	NOUN
ejpam-5908	111	3	,	,	PUNCT
ejpam-5908	111	4	λ5	λ5	NOUN
ejpam-5908	111	5	is	be	AUX
ejpam-5908	111	6	the	the	DET
ejpam-5908	111	7	maximal	maximal	ADJ
ejpam-5908	111	8	non	non	ADJ
ejpam-5908	111	9	-	-	ADJ
ejpam-5908	111	10	trivial	trivial	ADJ
ejpam-5908	111	11	ifnsg	ifnsg	NOUN
ejpam-5908	111	12	of	of	ADP
ejpam-5908	111	13	λ	λ	PROPN
ejpam-5908	111	14	.	.	PROPN
ejpam-5908	111	15	example	example	NOUN
ejpam-5908	112	1	2	2	NUM
ejpam-5908	112	2	.	.	PUNCT
ejpam-5908	113	1	in	in	ADP
ejpam-5908	113	2	a	a	DET
ejpam-5908	113	3	symmetry	symmetry	NOUN
ejpam-5908	113	4	group	group	NOUN
ejpam-5908	113	5	,	,	PUNCT
ejpam-5908	113	6	sk	sk	VERB
ejpam-5908	113	7	for	for	ADP
ejpam-5908	113	8	k	k	PROPN
ejpam-5908	113	9	=	=	SYM
ejpam-5908	113	10	3	3	NUM
ejpam-5908	113	11	,	,	PUNCT
ejpam-5908	113	12	a3	a3	NOUN
ejpam-5908	113	13	=	=	SYM
ejpam-5908	113	14	{	{	PUNCT
ejpam-5908	113	15	ρ0	ρ0	PROPN
ejpam-5908	113	16	,	,	PUNCT
ejpam-5908	113	17	ρ1	ρ1	NOUN
ejpam-5908	113	18	,	,	PUNCT
ejpam-5908	113	19	ρ2	ρ2	NOUN
ejpam-5908	113	20	}	}	PUNCT
ejpam-5908	114	1	⊆	⊆	NUM
ejpam-5908	114	2	s3	s3	PROPN
ejpam-5908	114	3	is	be	AUX
ejpam-5908	114	4	a	a	DET
ejpam-5908	114	5	simple	simple	ADJ
ejpam-5908	114	6	group	group	NOUN
ejpam-5908	114	7	(	(	PUNCT
ejpam-5908	114	8	ρ−1	ρ−1	PROPN
ejpam-5908	114	9	1	1	NUM
ejpam-5908	114	10	=	=	SYM
ejpam-5908	114	11	ρ2	ρ2	NOUN
ejpam-5908	114	12	and	and	CCONJ
ejpam-5908	114	13	ρ−1	ρ−1	PROPN
ejpam-5908	114	14	2	2	NUM
ejpam-5908	114	15	=	=	SYM
ejpam-5908	114	16	ρ1	ρ1	PROPN
ejpam-5908	114	17	)	)	PUNCT
ejpam-5908	114	18	.	.	PUNCT
ejpam-5908	115	1	then	then	ADV
ejpam-5908	115	2	,	,	PUNCT
ejpam-5908	115	3	an	an	DET
ejpam-5908	115	4	ifg	ifg	NOUN
ejpam-5908	115	5	of	of	ADP
ejpam-5908	115	6	a3	a3	NOUN
ejpam-5908	115	7	is	be	AUX
ejpam-5908	115	8	:	:	PUNCT
ejpam-5908	115	9	γ	γ	X
ejpam-5908	115	10	=	=	SYM
ejpam-5908	115	11	{	{	PUNCT
ejpam-5908	115	12	⟨0.6	⟨0.6	PROPN
ejpam-5908	115	13	,	,	PUNCT
ejpam-5908	115	14	0.3	0.3	NUM
ejpam-5908	115	15	ρ0	ρ0	PROPN
ejpam-5908	115	16	⟩	⟩	PROPN
ejpam-5908	115	17	,	,	PUNCT
ejpam-5908	115	18	⟨0.4	⟨0.4	PROPN
ejpam-5908	115	19	,	,	PUNCT
ejpam-5908	115	20	0.3	0.3	NUM
ejpam-5908	115	21	ρ1	ρ1	NOUN
ejpam-5908	115	22	⟩	⟩	NOUN
ejpam-5908	115	23	,	,	PUNCT
ejpam-5908	115	24	⟨0.4	⟨0.4	PROPN
ejpam-5908	115	25	,	,	PUNCT
ejpam-5908	115	26	0.3	0.3	NUM
ejpam-5908	115	27	ρ2	ρ2	NOUN
ejpam-5908	115	28	⟩	⟩	NOUN
ejpam-5908	115	29	}	}	PUNCT
ejpam-5908	115	30	.	.	PUNCT
ejpam-5908	116	1	p.	p.	NOUN
ejpam-5908	116	2	a.	a.	NOUN
ejpam-5908	116	3	ejegwa	ejegwa	PROPN
ejpam-5908	116	4	,	,	PUNCT
ejpam-5908	116	5	n.	n.	PROPN
ejpam-5908	116	6	kausar	kausar	PROPN
ejpam-5908	116	7	,	,	PUNCT
ejpam-5908	116	8	t.	t.	NOUN
ejpam-5908	116	9	cagin	cagin	PROPN
ejpam-5908	116	10	/	/	SYM
ejpam-5908	116	11	eur	eur	PROPN
ejpam-5908	116	12	.	.	PUNCT
ejpam-5908	117	1	j.	j.	PROPN
ejpam-5908	117	2	pure	pure	PROPN
ejpam-5908	117	3	appl	appl	PROPN
ejpam-5908	117	4	.	.	PROPN
ejpam-5908	117	5	math	math	PROPN
ejpam-5908	117	6	,	,	PUNCT
ejpam-5908	117	7	18	18	NUM
ejpam-5908	117	8	(	(	PUNCT
ejpam-5908	117	9	2	2	NUM
ejpam-5908	117	10	)	)	PUNCT
ejpam-5908	117	11	(	(	PUNCT
ejpam-5908	117	12	2025	2025	NUM
ejpam-5908	117	13	)	)	PUNCT
ejpam-5908	117	14	,	,	PUNCT
ejpam-5908	117	15	5908	5908	NUM
ejpam-5908	117	16	6	6	NUM
ejpam-5908	117	17	of	of	ADP
ejpam-5908	117	18	11	11	NUM
ejpam-5908	117	19	since	since	SCONJ
ejpam-5908	117	20	ρ1.ρ2	ρ1.ρ2	PROPN
ejpam-5908	117	21	=	=	PUNCT
ejpam-5908	118	1	ρ2.ρ1	ρ2.ρ1	PROPN
ejpam-5908	118	2	=	=	SYM
ejpam-5908	118	3	ρ0	ρ0	PROPN
ejpam-5908	118	4	,	,	PUNCT
ejpam-5908	118	5	then	then	ADV
ejpam-5908	118	6	γ	γ	PROPN
ejpam-5908	118	7	is	be	AUX
ejpam-5908	118	8	commutative	commutative	ADJ
ejpam-5908	118	9	.	.	PUNCT
ejpam-5908	119	1	then	then	ADV
ejpam-5908	119	2	,	,	PUNCT
ejpam-5908	119	3	the	the	DET
ejpam-5908	119	4	ifsgs	ifsgs	NOUN
ejpam-5908	119	5	of	of	ADP
ejpam-5908	119	6	γ	γ	NOUN
ejpam-5908	119	7	are	be	AUX
ejpam-5908	119	8	:	:	PUNCT
ejpam-5908	119	9	γ1	γ1	PROPN
ejpam-5908	119	10	=	=	SYM
ejpam-5908	119	11	{	{	PUNCT
ejpam-5908	119	12	⟨0.2	⟨0.2	PROPN
ejpam-5908	119	13	,	,	PUNCT
ejpam-5908	119	14	0.7	0.7	NUM
ejpam-5908	119	15	ρ0	ρ0	PROPN
ejpam-5908	119	16	⟩	⟩	PROPN
ejpam-5908	119	17	,	,	PUNCT
ejpam-5908	119	18	⟨0.0	⟨0.0	PROPN
ejpam-5908	119	19	,	,	PUNCT
ejpam-5908	119	20	0.7	0.7	NUM
ejpam-5908	119	21	ρ1	ρ1	NOUN
ejpam-5908	119	22	⟩	⟩	NOUN
ejpam-5908	119	23	,	,	PUNCT
ejpam-5908	119	24	⟨0.0	⟨0.0	PROPN
ejpam-5908	119	25	,	,	PUNCT
ejpam-5908	119	26	0.7	0.7	NUM
ejpam-5908	119	27	ρ2	ρ2	NOUN
ejpam-5908	119	28	⟩	⟩	NOUN
ejpam-5908	119	29	}	}	PUNCT
ejpam-5908	119	30	,	,	PUNCT
ejpam-5908	119	31	γ2	γ2	PROPN
ejpam-5908	119	32	=	=	SYM
ejpam-5908	119	33	{	{	PUNCT
ejpam-5908	119	34	⟨0.3	⟨0.3	PROPN
ejpam-5908	119	35	,	,	PUNCT
ejpam-5908	119	36	0.6	0.6	NUM
ejpam-5908	119	37	ρ0	ρ0	PROPN
ejpam-5908	119	38	⟩	⟩	PROPN
ejpam-5908	119	39	,	,	PUNCT
ejpam-5908	119	40	⟨0.1	⟨0.1	PROPN
ejpam-5908	119	41	,	,	PUNCT
ejpam-5908	119	42	0.6	0.6	NUM
ejpam-5908	119	43	ρ1	ρ1	NOUN
ejpam-5908	119	44	⟩	⟩	NOUN
ejpam-5908	119	45	,	,	PUNCT
ejpam-5908	119	46	⟨0.1	⟨0.1	PROPN
ejpam-5908	119	47	,	,	PUNCT
ejpam-5908	119	48	0.6	0.6	NUM
ejpam-5908	119	49	ρ2	ρ2	NOUN
ejpam-5908	119	50	⟩	⟩	NOUN
ejpam-5908	119	51	}	}	PUNCT
ejpam-5908	119	52	,	,	PUNCT
ejpam-5908	120	1	γ3	γ3	NOUN
ejpam-5908	120	2	=	=	SYM
ejpam-5908	120	3	{	{	PUNCT
ejpam-5908	120	4	⟨0.4	⟨0.4	PROPN
ejpam-5908	120	5	,	,	PUNCT
ejpam-5908	120	6	0.5	0.5	NUM
ejpam-5908	120	7	ρ0	ρ0	PROPN
ejpam-5908	120	8	⟩	⟩	PROPN
ejpam-5908	120	9	,	,	PUNCT
ejpam-5908	120	10	⟨0.2	⟨0.2	PROPN
ejpam-5908	120	11	,	,	PUNCT
ejpam-5908	120	12	0.5	0.5	NUM
ejpam-5908	120	13	ρ1	ρ1	NOUN
ejpam-5908	120	14	⟩	⟩	NOUN
ejpam-5908	120	15	,	,	PUNCT
ejpam-5908	120	16	⟨0.2	⟨0.2	PROPN
ejpam-5908	120	17	,	,	PUNCT
ejpam-5908	120	18	0.5	0.5	NUM
ejpam-5908	120	19	ρ2	ρ2	NOUN
ejpam-5908	120	20	⟩	⟩	NOUN
ejpam-5908	120	21	}	}	PUNCT
ejpam-5908	120	22	,	,	PUNCT
ejpam-5908	120	23	γ4	γ4	NOUN
ejpam-5908	120	24	=	=	SYM
ejpam-5908	120	25	{	{	PUNCT
ejpam-5908	120	26	⟨0.5	⟨0.5	PROPN
ejpam-5908	120	27	,	,	PUNCT
ejpam-5908	120	28	0.4	0.4	NUM
ejpam-5908	120	29	ρ0	ρ0	PROPN
ejpam-5908	120	30	⟩	⟩	PROPN
ejpam-5908	120	31	,	,	PUNCT
ejpam-5908	120	32	⟨0.3	⟨0.3	PROPN
ejpam-5908	120	33	,	,	PUNCT
ejpam-5908	120	34	0.4	0.4	NUM
ejpam-5908	120	35	ρ1	ρ1	NOUN
ejpam-5908	120	36	⟩	⟩	NOUN
ejpam-5908	120	37	,	,	PUNCT
ejpam-5908	120	38	⟨0.3	⟨0.3	PROPN
ejpam-5908	120	39	,	,	PUNCT
ejpam-5908	120	40	0.4	0.4	NUM
ejpam-5908	120	41	ρ2	ρ2	NOUN
ejpam-5908	120	42	⟩	⟩	NOUN
ejpam-5908	120	43	}	}	PUNCT
ejpam-5908	120	44	,	,	PUNCT
ejpam-5908	120	45	γ5	γ5	NOUN
ejpam-5908	120	46	=	=	SYM
ejpam-5908	120	47	{	{	PUNCT
ejpam-5908	120	48	⟨0.6	⟨0.6	PROPN
ejpam-5908	120	49	,	,	PUNCT
ejpam-5908	120	50	0.3	0.3	NUM
ejpam-5908	120	51	ρ0	ρ0	PROPN
ejpam-5908	120	52	⟩	⟩	PROPN
ejpam-5908	120	53	,	,	PUNCT
ejpam-5908	120	54	⟨0.4	⟨0.4	PROPN
ejpam-5908	120	55	,	,	PUNCT
ejpam-5908	120	56	0.3	0.3	NUM
ejpam-5908	120	57	ρ1	ρ1	NOUN
ejpam-5908	120	58	⟩	⟩	NOUN
ejpam-5908	120	59	,	,	PUNCT
ejpam-5908	120	60	⟨0.4	⟨0.4	PROPN
ejpam-5908	120	61	,	,	PUNCT
ejpam-5908	120	62	0.3	0.3	NUM
ejpam-5908	120	63	ρ2	ρ2	NOUN
ejpam-5908	120	64	⟩	⟩	NOUN
ejpam-5908	120	65	}	}	PUNCT
ejpam-5908	120	66	.	.	PUNCT
ejpam-5908	121	1	here	here	ADV
ejpam-5908	121	2	,	,	PUNCT
ejpam-5908	121	3	γ5	γ5	PROPN
ejpam-5908	121	4	is	be	AUX
ejpam-5908	121	5	a	a	DET
ejpam-5908	121	6	trivial	trivial	ADJ
ejpam-5908	121	7	ifsg	ifsg	NOUN
ejpam-5908	121	8	of	of	ADP
ejpam-5908	121	9	γ	γ	NOUN
ejpam-5908	121	10	because	because	SCONJ
ejpam-5908	121	11	γ5	γ5	PROPN
ejpam-5908	121	12	=	=	SYM
ejpam-5908	121	13	γ	γ	X
ejpam-5908	121	14	,	,	PUNCT
ejpam-5908	121	15	and	and	CCONJ
ejpam-5908	121	16	γi	γi	X
ejpam-5908	121	17	for	for	ADP
ejpam-5908	121	18	i	i	PRON
ejpam-5908	121	19	=	=	NOUN
ejpam-5908	121	20	1	1	NUM
ejpam-5908	121	21	,	,	PUNCT
ejpam-5908	121	22	2	2	NUM
ejpam-5908	121	23	,	,	PUNCT
ejpam-5908	121	24	3	3	NUM
ejpam-5908	121	25	,	,	PUNCT
ejpam-5908	121	26	4	4	NUM
ejpam-5908	121	27	are	be	AUX
ejpam-5908	121	28	proper	proper	ADJ
ejpam-5908	121	29	non	non	ADJ
ejpam-5908	121	30	-	-	ADJ
ejpam-5908	121	31	trivial	trivial	ADJ
ejpam-5908	121	32	ifnsg	ifnsg	NOUN
ejpam-5908	121	33	of	of	ADP
ejpam-5908	121	34	γ	γ	PROPN
ejpam-5908	121	35	,	,	PUNCT
ejpam-5908	121	36	and	and	CCONJ
ejpam-5908	121	37	so	so	ADV
ejpam-5908	121	38	γ	γ	NOUN
ejpam-5908	121	39	is	be	AUX
ejpam-5908	121	40	not	not	PART
ejpam-5908	121	41	simple	simple	ADJ
ejpam-5908	121	42	.	.	PUNCT
ejpam-5908	122	1	in	in	ADP
ejpam-5908	122	2	addition	addition	NOUN
ejpam-5908	122	3	,	,	PUNCT
ejpam-5908	122	4	γ4	γ4	NOUN
ejpam-5908	122	5	is	be	AUX
ejpam-5908	122	6	the	the	DET
ejpam-5908	122	7	maximal	maximal	ADJ
ejpam-5908	122	8	non	non	ADJ
ejpam-5908	122	9	-	-	ADJ
ejpam-5908	122	10	trivial	trivial	ADJ
ejpam-5908	122	11	ifnsg	ifnsg	NOUN
ejpam-5908	122	12	of	of	ADP
ejpam-5908	122	13	γ	γ	PROPN
ejpam-5908	122	14	.	.	PROPN
ejpam-5908	122	15	example	example	NOUN
ejpam-5908	122	16	3	3	X
ejpam-5908	122	17	.	.	PUNCT
ejpam-5908	122	18	suppose	suppose	VERB
ejpam-5908	122	19	we	we	PRON
ejpam-5908	122	20	have	have	VERB
ejpam-5908	122	21	an	an	DET
ejpam-5908	122	22	ifg	ifg	NOUN
ejpam-5908	122	23	δ	δ	X
ejpam-5908	122	24	=	=	PUNCT
ejpam-5908	122	25	{	{	PUNCT
ejpam-5908	122	26	⟨0.5,0.3ρ0	⟨0.5,0.3ρ0	NUM
ejpam-5908	122	27	⟩	⟩	NOUN
ejpam-5908	122	28	,	,	PUNCT
ejpam-5908	122	29	⟨0.0,1ρ1	⟨0.0,1ρ1	NOUN
ejpam-5908	122	30	⟩	⟩	NOUN
ejpam-5908	122	31	,	,	PUNCT
ejpam-5908	122	32	⟨0.0,1ρ2	⟨0.0,1ρ2	PROPN
ejpam-5908	122	33	⟩	⟩	PROPN
ejpam-5908	122	34	}	}	PUNCT
ejpam-5908	122	35	defined	define	VERB
ejpam-5908	122	36	in	in	ADP
ejpam-5908	122	37	a3	a3	NOUN
ejpam-5908	122	38	=	=	SYM
ejpam-5908	122	39	{	{	PUNCT
ejpam-5908	122	40	ρ0	ρ0	PROPN
ejpam-5908	122	41	,	,	PUNCT
ejpam-5908	122	42	ρ1	ρ1	NOUN
ejpam-5908	122	43	,	,	PUNCT
ejpam-5908	122	44	ρ2	ρ2	NOUN
ejpam-5908	122	45	}	}	PUNCT
ejpam-5908	122	46	⊆	⊆	NUM
ejpam-5908	122	47	s3	s3	PROPN
ejpam-5908	122	48	.	.	PUNCT
ejpam-5908	123	1	it	it	PRON
ejpam-5908	123	2	is	be	AUX
ejpam-5908	123	3	observed	observe	VERB
ejpam-5908	123	4	that	that	SCONJ
ejpam-5908	123	5	δ	δ	PROPN
ejpam-5908	123	6	has	have	VERB
ejpam-5908	123	7	no	no	DET
ejpam-5908	123	8	proper	proper	ADJ
ejpam-5908	123	9	non	non	ADJ
ejpam-5908	123	10	-	-	ADJ
ejpam-5908	123	11	trivial	trivial	ADJ
ejpam-5908	123	12	ifsg	ifsg	NOUN
ejpam-5908	123	13	.	.	PUNCT
ejpam-5908	124	1	thus	thus	ADV
ejpam-5908	124	2	,	,	PUNCT
ejpam-5908	124	3	δ	δ	PROPN
ejpam-5908	124	4	is	be	AUX
ejpam-5908	124	5	a	a	DET
ejpam-5908	124	6	simple	simple	ADJ
ejpam-5908	124	7	ifg	ifg	NOUN
ejpam-5908	124	8	.	.	PUNCT
ejpam-5908	125	1	theorem	theorem	NOUN
ejpam-5908	125	2	1	1	NUM
ejpam-5908	125	3	.	.	PUNCT
ejpam-5908	126	1	every	every	DET
ejpam-5908	126	2	ifg	ifg	NOUN
ejpam-5908	126	3	which	which	PRON
ejpam-5908	126	4	has	have	VERB
ejpam-5908	126	5	no	no	DET
ejpam-5908	126	6	non	non	ADJ
ejpam-5908	126	7	-	-	ADJ
ejpam-5908	126	8	trivial	trivial	ADJ
ejpam-5908	126	9	ifsgs	ifsgs	NOUN
ejpam-5908	126	10	is	be	AUX
ejpam-5908	126	11	simple	simple	ADJ
ejpam-5908	126	12	.	.	PUNCT
ejpam-5908	127	1	proof	proof	NOUN
ejpam-5908	127	2	.	.	PUNCT
ejpam-5908	128	1	the	the	DET
ejpam-5908	128	2	proof	proof	NOUN
ejpam-5908	128	3	is	be	AUX
ejpam-5908	128	4	simple	simple	ADJ
ejpam-5908	128	5	from	from	ADP
ejpam-5908	128	6	example	example	NOUN
ejpam-5908	128	7	3	3	NUM
ejpam-5908	128	8	.	.	PUNCT
ejpam-5908	128	9	definition	definition	NOUN
ejpam-5908	128	10	14	14	NUM
ejpam-5908	128	11	.	.	PUNCT
ejpam-5908	129	1	let	let	VERB
ejpam-5908	129	2	g	g	PRON
ejpam-5908	129	3	be	be	AUX
ejpam-5908	129	4	a	a	DET
ejpam-5908	129	5	finite	finite	ADJ
ejpam-5908	129	6	group	group	NOUN
ejpam-5908	129	7	and	and	CCONJ
ejpam-5908	129	8	λ	λ	PROPN
ejpam-5908	129	9	be	be	AUX
ejpam-5908	129	10	an	an	DET
ejpam-5908	129	11	ifg	ifg	NOUN
ejpam-5908	129	12	of	of	ADP
ejpam-5908	129	13	g.	g.	PROPN
ejpam-5908	129	14	then	then	ADV
ejpam-5908	129	15	,	,	PUNCT
ejpam-5908	129	16	λ	λ	PROPN
ejpam-5908	129	17	possesses	possess	VERB
ejpam-5908	129	18	a	a	DET
ejpam-5908	129	19	normal	normal	ADJ
ejpam-5908	129	20	series	series	NOUN
ejpam-5908	129	21	if	if	SCONJ
ejpam-5908	129	22	there	there	PRON
ejpam-5908	129	23	exist	exist	VERB
ejpam-5908	129	24	:	:	PUNCT
ejpam-5908	129	25	λ1m(x	λ1m(x	PROPN
ejpam-5908	129	26	)	)	PUNCT
ejpam-5908	129	27	≤	≤	NOUN
ejpam-5908	130	1	λ2m(x	λ2m(x	PROPN
ejpam-5908	130	2	)	)	PUNCT
ejpam-5908	130	3	≤	≤	NOUN
ejpam-5908	130	4	·	·	PUNCT
ejpam-5908	130	5	·	·	PUNCT
ejpam-5908	130	6	·	·	PUNCT
ejpam-5908	131	1	≤	≤	NUM
ejpam-5908	132	1	λkm(x	λkm(x	X
ejpam-5908	132	2	)	)	PUNCT
ejpam-5908	132	3	=	=	SYM
ejpam-5908	132	4	λm(x	λm(x	X
ejpam-5908	132	5	)	)	PUNCT
ejpam-5908	132	6	λ1n(x	λ1n(x	PROPN
ejpam-5908	132	7	)	)	PUNCT
ejpam-5908	132	8	≥	≥	NOUN
ejpam-5908	132	9	λ2n(x	λ2n(x	ADJ
ejpam-5908	132	10	)	)	PUNCT
ejpam-5908	132	11	≥	≥	NOUN
ejpam-5908	132	12	·	·	PUNCT
ejpam-5908	132	13	·	·	PUNCT
ejpam-5908	132	14	·	·	PUNCT
ejpam-5908	132	15	≥	≥	NUM
ejpam-5908	132	16	λkn(x	λkn(x	X
ejpam-5908	132	17	)	)	PUNCT
ejpam-5908	132	18	=	=	SYM
ejpam-5908	132	19	λn(x	λn(x	X
ejpam-5908	132	20	)	)	PUNCT
ejpam-5908	132	21	}	}	PUNCT
ejpam-5908	132	22	,	,	PUNCT
ejpam-5908	132	23	(	(	PUNCT
ejpam-5908	132	24	7	7	X
ejpam-5908	132	25	)	)	PUNCT
ejpam-5908	132	26	∀x	∀x	VERB
ejpam-5908	132	27	∈	∈	PROPN
ejpam-5908	132	28	g	g	NOUN
ejpam-5908	132	29	such	such	ADJ
ejpam-5908	132	30	that	that	PRON
ejpam-5908	132	31	λ1∗	λ1∗	NOUN
ejpam-5908	133	1	=	=	SYM
ejpam-5908	133	2	λ2∗	λ2∗	PROPN
ejpam-5908	133	3	=	=	PUNCT
ejpam-5908	133	4	·	·	PUNCT
ejpam-5908	133	5	·	·	PUNCT
ejpam-5908	133	6	·	·	PUNCT
ejpam-5908	134	1	=	=	PUNCT
ejpam-5908	134	2	λk∗	λk∗	NOUN
ejpam-5908	135	1	=	=	PUNCT
ejpam-5908	135	2	λ∗	λ∗	NOUN
ejpam-5908	135	3	=	=	PUNCT
ejpam-5908	135	4	g	g	PROPN
ejpam-5908	135	5	and	and	CCONJ
ejpam-5908	135	6	λi	λi	NOUN
ejpam-5908	135	7	◁	◁	PRON
ejpam-5908	135	8	λi+1	λi+1	NOUN
ejpam-5908	135	9	∀	∀	NOUN
ejpam-5908	135	10	1	1	NUM
ejpam-5908	135	11	≤	≤	NUM
ejpam-5908	135	12	i	i	PRON
ejpam-5908	135	13	≤	≤	PROPN
ejpam-5908	135	14	k.	k.	NOUN
ejpam-5908	136	1	eq	eq	X
ejpam-5908	136	2	.	.	PUNCT
ejpam-5908	137	1	(	(	PUNCT
ejpam-5908	137	2	7	7	X
ejpam-5908	137	3	)	)	PUNCT
ejpam-5908	137	4	can	can	AUX
ejpam-5908	137	5	be	be	AUX
ejpam-5908	137	6	simply	simply	ADV
ejpam-5908	137	7	written	write	VERB
ejpam-5908	137	8	as	as	ADP
ejpam-5908	137	9	:	:	PUNCT
ejpam-5908	137	10	λ1	λ1	ADJ
ejpam-5908	137	11	⊆	⊆	NUM
ejpam-5908	137	12	λ2	λ2	NOUN
ejpam-5908	137	13	⊆	⊆	NUM
ejpam-5908	137	14	·	·	PUNCT
ejpam-5908	137	15	·	·	PUNCT
ejpam-5908	137	16	·	·	PUNCT
ejpam-5908	138	1	⊆	⊆	NUM
ejpam-5908	138	2	λk	λk	ADP
ejpam-5908	138	3	=	=	SYM
ejpam-5908	138	4	λ	λ	PROPN
ejpam-5908	138	5	(	(	PUNCT
ejpam-5908	138	6	8)	8)	NUM
ejpam-5908	138	7	such	such	ADJ
ejpam-5908	138	8	that	that	PRON
ejpam-5908	138	9	λ1∗	λ1∗	NOUN
ejpam-5908	138	10	=	=	SYM
ejpam-5908	138	11	λ2∗	λ2∗	PROPN
ejpam-5908	138	12	=	=	PUNCT
ejpam-5908	138	13	·	·	PUNCT
ejpam-5908	138	14	·	·	PUNCT
ejpam-5908	138	15	·	·	PUNCT
ejpam-5908	138	16	=	=	PUNCT
ejpam-5908	139	1	λk∗	λk∗	NOUN
ejpam-5908	139	2	=	=	PUNCT
ejpam-5908	140	1	λ∗	λ∗	NOUN
ejpam-5908	140	2	=	=	PUNCT
ejpam-5908	140	3	g	g	PROPN
ejpam-5908	140	4	and	and	CCONJ
ejpam-5908	140	5	λi	λi	NOUN
ejpam-5908	140	6	◁	◁	PRON
ejpam-5908	140	7	λi+1	λi+1	NOUN
ejpam-5908	140	8	∀	∀	NOUN
ejpam-5908	140	9	1	1	NUM
ejpam-5908	140	10	≤	≤	NUM
ejpam-5908	140	11	i	i	NOUN
ejpam-5908	140	12	≤	≤	ADJ
ejpam-5908	140	13	k	k	NOUN
ejpam-5908	140	14	or	or	CCONJ
ejpam-5908	140	15	λ1	λ1	ADJ
ejpam-5908	140	16	◁	◁	NOUN
ejpam-5908	140	17	λ2	λ2	NOUN
ejpam-5908	140	18	◁	◁	X
ejpam-5908	140	19	·	·	PUNCT
ejpam-5908	140	20	·	·	PUNCT
ejpam-5908	140	21	·	·	PUNCT
ejpam-5908	141	1	◁	◁	X
ejpam-5908	141	2	λk	λk	X
ejpam-5908	141	3	=	=	PUNCT
ejpam-5908	141	4	λ	λ	X
ejpam-5908	141	5	(	(	PUNCT
ejpam-5908	141	6	9	9	NUM
ejpam-5908	141	7	)	)	PUNCT
ejpam-5908	141	8	for	for	ADP
ejpam-5908	141	9	λ1∗	λ1∗	NOUN
ejpam-5908	141	10	=	=	SYM
ejpam-5908	141	11	λ2∗	λ2∗	PROPN
ejpam-5908	141	12	=	=	PUNCT
ejpam-5908	141	13	·	·	PUNCT
ejpam-5908	141	14	·	·	PUNCT
ejpam-5908	141	15	·	·	PUNCT
ejpam-5908	141	16	=	=	PUNCT
ejpam-5908	142	1	λk∗	λk∗	NOUN
ejpam-5908	142	2	=	=	PUNCT
ejpam-5908	143	1	λ∗	λ∗	NOUN
ejpam-5908	143	2	=	=	PUNCT
ejpam-5908	143	3	g.	g.	PROPN
ejpam-5908	143	4	example	example	NOUN
ejpam-5908	144	1	4	4	X
ejpam-5908	144	2	.	.	PUNCT
ejpam-5908	144	3	using	use	VERB
ejpam-5908	144	4	the	the	DET
ejpam-5908	144	5	ifsgs	ifsgs	NOUN
ejpam-5908	144	6	λ	λ	X
ejpam-5908	144	7	in	in	ADP
ejpam-5908	144	8	example	example	NOUN
ejpam-5908	144	9	1	1	NUM
ejpam-5908	144	10	,	,	PUNCT
ejpam-5908	144	11	the	the	DET
ejpam-5908	144	12	normal	normal	ADJ
ejpam-5908	144	13	series	series	NOUN
ejpam-5908	144	14	is	be	AUX
ejpam-5908	144	15	:	:	PUNCT
ejpam-5908	144	16	λ1	λ1	ADJ
ejpam-5908	144	17	⊆	⊆	NUM
ejpam-5908	144	18	λ2	λ2	NOUN
ejpam-5908	144	19	⊆	⊆	NUM
ejpam-5908	144	20	λ3	λ3	PROPN
ejpam-5908	144	21	⊆	⊆	NUM
ejpam-5908	144	22	λ4	λ4	NOUN
ejpam-5908	144	23	⊆	⊆	NUM
ejpam-5908	144	24	λ5	λ5	VERB
ejpam-5908	144	25	⊆	⊆	NUM
ejpam-5908	144	26	λ6	λ6	NOUN
ejpam-5908	144	27	=	=	SYM
ejpam-5908	144	28	λ	λ	PROPN
ejpam-5908	144	29	,	,	PUNCT
ejpam-5908	144	30	where	where	SCONJ
ejpam-5908	144	31	λi	λi	ADP
ejpam-5908	144	32	◁	◁	X
ejpam-5908	144	33	λi+1	λi+1	NOUN
ejpam-5908	144	34	∀	∀	NOUN
ejpam-5908	144	35	1	1	NUM
ejpam-5908	144	36	≤	≤	NUM
ejpam-5908	144	37	i	i	PRON
ejpam-5908	144	38	≤	≤	PROPN
ejpam-5908	144	39	k.	k.	PUNCT
ejpam-5908	145	1	p.	p.	NOUN
ejpam-5908	145	2	a.	a.	NOUN
ejpam-5908	145	3	ejegwa	ejegwa	PROPN
ejpam-5908	145	4	,	,	PUNCT
ejpam-5908	145	5	n.	n.	PROPN
ejpam-5908	145	6	kausar	kausar	PROPN
ejpam-5908	145	7	,	,	PUNCT
ejpam-5908	145	8	t.	t.	NOUN
ejpam-5908	145	9	cagin	cagin	PROPN
ejpam-5908	145	10	/	/	SYM
ejpam-5908	145	11	eur	eur	PROPN
ejpam-5908	145	12	.	.	PUNCT
ejpam-5908	146	1	j.	j.	PROPN
ejpam-5908	146	2	pure	pure	PROPN
ejpam-5908	146	3	appl	appl	PROPN
ejpam-5908	146	4	.	.	PROPN
ejpam-5908	146	5	math	math	PROPN
ejpam-5908	146	6	,	,	PUNCT
ejpam-5908	146	7	18	18	NUM
ejpam-5908	146	8	(	(	PUNCT
ejpam-5908	146	9	2	2	NUM
ejpam-5908	146	10	)	)	PUNCT
ejpam-5908	146	11	(	(	PUNCT
ejpam-5908	146	12	2025	2025	NUM
ejpam-5908	146	13	)	)	PUNCT
ejpam-5908	146	14	,	,	PUNCT
ejpam-5908	146	15	5908	5908	NUM
ejpam-5908	146	16	7	7	NUM
ejpam-5908	146	17	of	of	ADP
ejpam-5908	146	18	11	11	NUM
ejpam-5908	146	19	example	example	NOUN
ejpam-5908	146	20	5	5	NUM
ejpam-5908	146	21	.	.	PUNCT
ejpam-5908	147	1	using	use	VERB
ejpam-5908	147	2	the	the	DET
ejpam-5908	147	3	ifsgs	ifsgs	NOUN
ejpam-5908	147	4	of	of	ADP
ejpam-5908	147	5	γ	γ	PROPN
ejpam-5908	147	6	in	in	ADP
ejpam-5908	147	7	example	example	NOUN
ejpam-5908	147	8	2	2	NUM
ejpam-5908	147	9	,	,	PUNCT
ejpam-5908	147	10	the	the	DET
ejpam-5908	147	11	normal	normal	ADJ
ejpam-5908	147	12	series	series	NOUN
ejpam-5908	147	13	is	be	AUX
ejpam-5908	147	14	:	:	PUNCT
ejpam-5908	147	15	γ1	γ1	PROPN
ejpam-5908	147	16	⊆	⊆	NUM
ejpam-5908	147	17	γ2	γ2	PROPN
ejpam-5908	147	18	⊆	⊆	NUM
ejpam-5908	147	19	γ3	γ3	NOUN
ejpam-5908	147	20	⊆	⊆	NUM
ejpam-5908	147	21	γ4	γ4	NOUN
ejpam-5908	147	22	⊆	⊆	NUM
ejpam-5908	147	23	γ5	γ5	NOUN
ejpam-5908	147	24	=	=	SYM
ejpam-5908	147	25	γ	γ	NOUN
ejpam-5908	147	26	,	,	PUNCT
ejpam-5908	147	27	because	because	SCONJ
ejpam-5908	147	28	γi	γi	INTJ
ejpam-5908	147	29	◁	◁	PRON
ejpam-5908	147	30	γi+1	γi+1	NOUN
ejpam-5908	147	31	∀	∀	NOUN
ejpam-5908	147	32	1	1	NUM
ejpam-5908	147	33	≤	≤	NUM
ejpam-5908	147	34	i	i	PRON
ejpam-5908	147	35	≤	≤	PROPN
ejpam-5908	148	1	k.	k.	INTJ
ejpam-5908	149	1	next	next	ADV
ejpam-5908	149	2	,	,	PUNCT
ejpam-5908	149	3	we	we	PRON
ejpam-5908	149	4	define	define	VERB
ejpam-5908	149	5	the	the	DET
ejpam-5908	149	6	concept	concept	NOUN
ejpam-5908	149	7	of	of	ADP
ejpam-5908	149	8	composition	composition	NOUN
ejpam-5908	149	9	series	series	NOUN
ejpam-5908	149	10	for	for	ADP
ejpam-5908	149	11	ifg	ifg	NOUN
ejpam-5908	149	12	.	.	PUNCT
ejpam-5908	150	1	definition	definition	NOUN
ejpam-5908	150	2	15	15	NUM
ejpam-5908	150	3	.	.	PUNCT
ejpam-5908	151	1	let	let	VERB
ejpam-5908	151	2	g	g	PRON
ejpam-5908	151	3	be	be	AUX
ejpam-5908	151	4	a	a	DET
ejpam-5908	151	5	finite	finite	ADJ
ejpam-5908	151	6	group	group	NOUN
ejpam-5908	151	7	and	and	CCONJ
ejpam-5908	151	8	λ	λ	PROPN
ejpam-5908	151	9	be	be	AUX
ejpam-5908	151	10	an	an	DET
ejpam-5908	151	11	ifg	ifg	NOUN
ejpam-5908	151	12	of	of	ADP
ejpam-5908	151	13	g.	g.	PROPN
ejpam-5908	151	14	then	then	ADV
ejpam-5908	151	15	,	,	PUNCT
ejpam-5908	151	16	λ	λ	PROPN
ejpam-5908	151	17	possesses	possess	VERB
ejpam-5908	151	18	a	a	DET
ejpam-5908	151	19	composition	composition	NOUN
ejpam-5908	151	20	series	series	NOUN
ejpam-5908	151	21	if	if	SCONJ
ejpam-5908	151	22	there	there	PRON
ejpam-5908	151	23	exist	exist	VERB
ejpam-5908	151	24	:	:	PUNCT
ejpam-5908	151	25	λ1m(x	λ1m(x	PROPN
ejpam-5908	151	26	)	)	PUNCT
ejpam-5908	151	27	≤	≤	NOUN
ejpam-5908	152	1	λ2m(x	λ2m(x	PROPN
ejpam-5908	152	2	)	)	PUNCT
ejpam-5908	152	3	≤	≤	NOUN
ejpam-5908	152	4	·	·	PUNCT
ejpam-5908	152	5	·	·	PUNCT
ejpam-5908	152	6	·	·	PUNCT
ejpam-5908	153	1	≤	≤	NUM
ejpam-5908	154	1	λkm(x	λkm(x	X
ejpam-5908	154	2	)	)	PUNCT
ejpam-5908	154	3	=	=	SYM
ejpam-5908	154	4	λm(x	λm(x	X
ejpam-5908	154	5	)	)	PUNCT
ejpam-5908	154	6	λ1n(x	λ1n(x	PROPN
ejpam-5908	154	7	)	)	PUNCT
ejpam-5908	154	8	≥	≥	NOUN
ejpam-5908	154	9	λ2n(x	λ2n(x	ADJ
ejpam-5908	154	10	)	)	PUNCT
ejpam-5908	154	11	≥	≥	NOUN
ejpam-5908	154	12	·	·	PUNCT
ejpam-5908	154	13	·	·	PUNCT
ejpam-5908	154	14	·	·	PUNCT
ejpam-5908	154	15	≥	≥	NUM
ejpam-5908	154	16	λkn(x	λkn(x	X
ejpam-5908	154	17	)	)	PUNCT
ejpam-5908	154	18	=	=	SYM
ejpam-5908	154	19	λn(x	λn(x	X
ejpam-5908	154	20	)	)	PUNCT
ejpam-5908	154	21	}	}	PUNCT
ejpam-5908	154	22	,	,	PUNCT
ejpam-5908	154	23	(	(	PUNCT
ejpam-5908	154	24	10	10	NUM
ejpam-5908	154	25	)	)	PUNCT
ejpam-5908	155	1	∀x	∀x	VERB
ejpam-5908	155	2	∈	∈	PROPN
ejpam-5908	155	3	g	g	NOUN
ejpam-5908	155	4	such	such	ADJ
ejpam-5908	155	5	that	that	PRON
ejpam-5908	155	6	λ1∗	λ1∗	NOUN
ejpam-5908	156	1	=	=	SYM
ejpam-5908	156	2	λ2∗	λ2∗	PROPN
ejpam-5908	156	3	=	=	PUNCT
ejpam-5908	156	4	·	·	PUNCT
ejpam-5908	156	5	·	·	PUNCT
ejpam-5908	156	6	·	·	PUNCT
ejpam-5908	157	1	=	=	PUNCT
ejpam-5908	157	2	λk∗	λk∗	NOUN
ejpam-5908	158	1	=	=	PUNCT
ejpam-5908	158	2	λ∗	λ∗	NOUN
ejpam-5908	158	3	=	=	PUNCT
ejpam-5908	158	4	g	g	NOUN
ejpam-5908	158	5	with	with	ADP
ejpam-5908	158	6	the	the	DET
ejpam-5908	158	7	properties	property	NOUN
ejpam-5908	158	8	(	(	PUNCT
ejpam-5908	158	9	i	i	NOUN
ejpam-5908	158	10	)	)	PUNCT
ejpam-5908	158	11	λi	λi	ADP
ejpam-5908	158	12	◁	◁	PRON
ejpam-5908	158	13	λi+1	λi+1	NOUN
ejpam-5908	158	14	∀	∀	NOUN
ejpam-5908	158	15	1	1	NUM
ejpam-5908	158	16	≤	≤	NUM
ejpam-5908	158	17	i	i	NOUN
ejpam-5908	158	18	≤	≤	PUNCT
ejpam-5908	159	1	k	k	X
ejpam-5908	159	2	,	,	PUNCT
ejpam-5908	159	3	(	(	PUNCT
ejpam-5908	159	4	ii	ii	NOUN
ejpam-5908	159	5	)	)	PUNCT
ejpam-5908	159	6	λi+1	λi+1	PROPN
ejpam-5908	159	7	/	/	SYM
ejpam-5908	159	8	λi	λi	NOUN
ejpam-5908	159	9	is	be	AUX
ejpam-5908	159	10	simple	simple	ADJ
ejpam-5908	159	11	∀	∀	NOUN
ejpam-5908	159	12	1	1	NUM
ejpam-5908	159	13	≤	≤	NUM
ejpam-5908	159	14	i	i	PRON
ejpam-5908	159	15	≤	≤	PROPN
ejpam-5908	160	1	k.	k.	NOUN
ejpam-5908	161	1	eq	eq	X
ejpam-5908	161	2	.	.	PUNCT
ejpam-5908	162	1	(	(	PUNCT
ejpam-5908	162	2	10	10	NUM
ejpam-5908	162	3	)	)	PUNCT
ejpam-5908	162	4	can	can	AUX
ejpam-5908	162	5	be	be	AUX
ejpam-5908	162	6	simply	simply	ADV
ejpam-5908	162	7	written	write	VERB
ejpam-5908	162	8	as	as	ADP
ejpam-5908	162	9	:	:	PUNCT
ejpam-5908	162	10	λ1	λ1	ADJ
ejpam-5908	162	11	◁	◁	NOUN
ejpam-5908	162	12	λ2	λ2	NOUN
ejpam-5908	162	13	◁	◁	X
ejpam-5908	162	14	·	·	PUNCT
ejpam-5908	162	15	·	·	PUNCT
ejpam-5908	162	16	·	·	PUNCT
ejpam-5908	163	1	◁	◁	X
ejpam-5908	163	2	λk	λk	X
ejpam-5908	163	3	=	=	PUNCT
ejpam-5908	163	4	λ	λ	X
ejpam-5908	163	5	(	(	PUNCT
ejpam-5908	163	6	11	11	NUM
ejpam-5908	163	7	)	)	PUNCT
ejpam-5908	163	8	for	for	ADP
ejpam-5908	163	9	λ1∗	λ1∗	NOUN
ejpam-5908	163	10	=	=	SYM
ejpam-5908	163	11	λ2∗	λ2∗	PROPN
ejpam-5908	163	12	=	=	PUNCT
ejpam-5908	163	13	·	·	PUNCT
ejpam-5908	163	14	·	·	PUNCT
ejpam-5908	163	15	·	·	PUNCT
ejpam-5908	163	16	=	=	PUNCT
ejpam-5908	164	1	λk∗	λk∗	NOUN
ejpam-5908	164	2	=	=	PUNCT
ejpam-5908	165	1	λ∗	λ∗	NOUN
ejpam-5908	165	2	=	=	PUNCT
ejpam-5908	165	3	g	g	NOUN
ejpam-5908	165	4	and	and	CCONJ
ejpam-5908	165	5	λi+1	λi+1	NOUN
ejpam-5908	165	6	/	/	SYM
ejpam-5908	165	7	λi	λi	ADP
ejpam-5908	165	8	is	be	AUX
ejpam-5908	165	9	simple	simple	ADJ
ejpam-5908	165	10	∀	∀	NOUN
ejpam-5908	165	11	1	1	NUM
ejpam-5908	165	12	≤	≤	NUM
ejpam-5908	165	13	i	i	PRON
ejpam-5908	165	14	≤	≤	PROPN
ejpam-5908	165	15	k.	k.	NOUN
ejpam-5908	165	16	using	use	VERB
ejpam-5908	165	17	the	the	DET
ejpam-5908	165	18	ifsgs	ifsgs	NOUN
ejpam-5908	165	19	of	of	ADP
ejpam-5908	165	20	λ	λ	PROPN
ejpam-5908	165	21	in	in	ADP
ejpam-5908	165	22	example	example	NOUN
ejpam-5908	165	23	1	1	NUM
ejpam-5908	165	24	,	,	PUNCT
ejpam-5908	165	25	the	the	DET
ejpam-5908	165	26	composition	composition	NOUN
ejpam-5908	165	27	series	series	NOUN
ejpam-5908	165	28	for	for	ADP
ejpam-5908	165	29	λ	λ	PROPN
ejpam-5908	165	30	is	be	AUX
ejpam-5908	165	31	:	:	PUNCT
ejpam-5908	165	32	λ1	λ1	ADJ
ejpam-5908	165	33	◁	◁	PUNCT
ejpam-5908	165	34	λ2	λ2	NOUN
ejpam-5908	165	35	◁	◁	NOUN
ejpam-5908	166	1	λ3	λ3	INTJ
ejpam-5908	166	2	◁	◁	X
ejpam-5908	166	3	λ4	λ4	ADJ
ejpam-5908	166	4	◁	◁	PRON
ejpam-5908	166	5	λ5	λ5	VERB
ejpam-5908	166	6	◁	◁	NUM
ejpam-5908	166	7	λ6	λ6	PROPN
ejpam-5908	166	8	=	=	SYM
ejpam-5908	166	9	λ	λ	PROPN
ejpam-5908	166	10	,	,	PUNCT
ejpam-5908	166	11	where	where	SCONJ
ejpam-5908	166	12	λi+1	λi+1	NOUN
ejpam-5908	166	13	/	/	SYM
ejpam-5908	166	14	λi	λi	ADP
ejpam-5908	166	15	is	be	AUX
ejpam-5908	166	16	simple	simple	ADJ
ejpam-5908	166	17	∀	∀	NOUN
ejpam-5908	166	18	1	1	NUM
ejpam-5908	166	19	≤	≤	NUM
ejpam-5908	166	20	i	i	PRON
ejpam-5908	166	21	≤	≤	PROPN
ejpam-5908	166	22	k.	k.	NOUN
ejpam-5908	166	23	using	use	VERB
ejpam-5908	166	24	the	the	DET
ejpam-5908	166	25	ifsgs	ifsgs	NOUN
ejpam-5908	166	26	of	of	ADP
ejpam-5908	166	27	γ	γ	PROPN
ejpam-5908	166	28	in	in	ADP
ejpam-5908	166	29	example	example	NOUN
ejpam-5908	166	30	2	2	NUM
ejpam-5908	166	31	,	,	PUNCT
ejpam-5908	166	32	the	the	DET
ejpam-5908	166	33	composition	composition	NOUN
ejpam-5908	166	34	series	series	NOUN
ejpam-5908	166	35	is	be	AUX
ejpam-5908	166	36	:	:	PUNCT
ejpam-5908	166	37	γ1	γ1	PROPN
ejpam-5908	166	38	◁	◁	ADP
ejpam-5908	166	39	γ2	γ2	ADJ
ejpam-5908	166	40	◁	◁	PUNCT
ejpam-5908	166	41	γ3	γ3	NOUN
ejpam-5908	166	42	◁	◁	NOUN
ejpam-5908	166	43	γ4	γ4	NOUN
ejpam-5908	166	44	◁	◁	NOUN
ejpam-5908	166	45	γ5	γ5	NOUN
ejpam-5908	166	46	=	=	SYM
ejpam-5908	166	47	γ	γ	X
ejpam-5908	166	48	,	,	PUNCT
ejpam-5908	166	49	because	because	SCONJ
ejpam-5908	166	50	λi+1	λi+1	NOUN
ejpam-5908	166	51	/	/	SYM
ejpam-5908	166	52	λi	λi	NOUN
ejpam-5908	166	53	is	be	AUX
ejpam-5908	166	54	simple	simple	ADJ
ejpam-5908	166	55	∀	∀	NOUN
ejpam-5908	166	56	1	1	NUM
ejpam-5908	166	57	≤	≤	NUM
ejpam-5908	166	58	i	i	PRON
ejpam-5908	166	59	≤	≤	PROPN
ejpam-5908	166	60	k.	k.	PROPN
ejpam-5908	166	61	theorem	theorem	PROPN
ejpam-5908	166	62	2	2	NUM
ejpam-5908	166	63	.	.	PUNCT
ejpam-5908	167	1	every	every	DET
ejpam-5908	167	2	finite	finite	NOUN
ejpam-5908	167	3	ifg	ifg	NOUN
ejpam-5908	167	4	of	of	ADP
ejpam-5908	167	5	a	a	DET
ejpam-5908	167	6	finite	finite	ADJ
ejpam-5908	167	7	group	group	NOUN
ejpam-5908	167	8	has	have	VERB
ejpam-5908	167	9	a	a	DET
ejpam-5908	167	10	composition	composition	NOUN
ejpam-5908	167	11	series	series	NOUN
ejpam-5908	167	12	.	.	PUNCT
ejpam-5908	168	1	proof	proof	NOUN
ejpam-5908	168	2	.	.	PUNCT
ejpam-5908	169	1	let	let	VERB
ejpam-5908	169	2	γ	γ	NOUN
ejpam-5908	169	3	be	be	AUX
ejpam-5908	169	4	an	an	DET
ejpam-5908	169	5	ifg	ifg	NOUN
ejpam-5908	169	6	of	of	ADP
ejpam-5908	169	7	a	a	DET
ejpam-5908	169	8	finite	finite	ADJ
ejpam-5908	169	9	group	group	NOUN
ejpam-5908	169	10	g.	g.	PROPN
ejpam-5908	169	11	we	we	PRON
ejpam-5908	169	12	present	present	VERB
ejpam-5908	169	13	the	the	DET
ejpam-5908	169	14	proof	proof	NOUN
ejpam-5908	169	15	using	use	VERB
ejpam-5908	169	16	the	the	DET
ejpam-5908	169	17	principle	principle	NOUN
ejpam-5908	169	18	of	of	ADP
ejpam-5908	169	19	induction	induction	NOUN
ejpam-5908	169	20	.	.	PUNCT
ejpam-5908	170	1	assume	assume	VERB
ejpam-5908	170	2	every	every	DET
ejpam-5908	170	3	ifg	ifg	NOUN
ejpam-5908	170	4	of	of	ADP
ejpam-5908	170	5	order	order	NOUN
ejpam-5908	170	6	less	less	ADJ
ejpam-5908	170	7	than	than	SCONJ
ejpam-5908	170	8	|γ|	|γ|	PROPN
ejpam-5908	170	9	has	have	VERB
ejpam-5908	170	10	a	a	DET
ejpam-5908	170	11	composition	composition	NOUN
ejpam-5908	170	12	series	series	NOUN
ejpam-5908	170	13	.	.	PUNCT
ejpam-5908	171	1	if	if	SCONJ
ejpam-5908	171	2	γ	γ	X
ejpam-5908	171	3	is	be	AUX
ejpam-5908	171	4	simple	simple	ADJ
ejpam-5908	171	5	,	,	PUNCT
ejpam-5908	171	6	then	then	ADV
ejpam-5908	171	7	it	it	PRON
ejpam-5908	171	8	has	have	VERB
ejpam-5908	171	9	a	a	DET
ejpam-5908	171	10	trivial	trivial	ADJ
ejpam-5908	171	11	composition	composition	NOUN
ejpam-5908	171	12	series	series	NOUN
ejpam-5908	171	13	.	.	PUNCT
ejpam-5908	172	1	otherwise	otherwise	ADV
ejpam-5908	172	2	,	,	PUNCT
ejpam-5908	172	3	if	if	SCONJ
ejpam-5908	172	4	γ	γ	NOUN
ejpam-5908	172	5	is	be	AUX
ejpam-5908	172	6	not	not	PART
ejpam-5908	172	7	simple	simple	ADJ
ejpam-5908	172	8	,	,	PUNCT
ejpam-5908	172	9	then	then	ADV
ejpam-5908	172	10	it	it	PRON
ejpam-5908	172	11	has	have	VERB
ejpam-5908	172	12	at	at	ADV
ejpam-5908	172	13	least	least	ADV
ejpam-5908	172	14	one	one	NUM
ejpam-5908	172	15	non	non	ADJ
ejpam-5908	172	16	-	-	ADJ
ejpam-5908	172	17	trivial	trivial	ADJ
ejpam-5908	172	18	proper	proper	ADJ
ejpam-5908	172	19	ifnsg	ifnsg	NOUN
ejpam-5908	172	20	and	and	CCONJ
ejpam-5908	172	21	a	a	DET
ejpam-5908	172	22	maximal	maximal	ADJ
ejpam-5908	172	23	non	non	ADJ
ejpam-5908	172	24	-	-	ADJ
ejpam-5908	172	25	trivial	trivial	ADJ
ejpam-5908	172	26	ifnsg	ifnsg	NOUN
ejpam-5908	172	27	denoted	denote	VERB
ejpam-5908	172	28	as	as	ADP
ejpam-5908	172	29	δ	δ	PROPN
ejpam-5908	172	30	in	in	ADP
ejpam-5908	172	31	γ	γ	PROPN
ejpam-5908	172	32	,	,	PUNCT
ejpam-5908	172	33	since	since	SCONJ
ejpam-5908	172	34	γ	γ	PROPN
ejpam-5908	172	35	is	be	AUX
ejpam-5908	172	36	finite	finite	ADJ
ejpam-5908	172	37	.	.	PUNCT
ejpam-5908	173	1	then	then	ADV
ejpam-5908	173	2	|δ|	|δ|	VERB
ejpam-5908	173	3	<	<	X
ejpam-5908	173	4	|γ|	|γ|	NOUN
ejpam-5908	173	5	.	.	PUNCT
ejpam-5908	174	1	by	by	ADP
ejpam-5908	174	2	the	the	DET
ejpam-5908	174	3	principle	principle	NOUN
ejpam-5908	174	4	of	of	ADP
ejpam-5908	174	5	induction	induction	NOUN
ejpam-5908	174	6	,	,	PUNCT
ejpam-5908	174	7	|δ|	|δ|	PRON
ejpam-5908	174	8	has	have	VERB
ejpam-5908	174	9	a	a	DET
ejpam-5908	174	10	composition	composition	NOUN
ejpam-5908	174	11	series	series	NOUN
ejpam-5908	174	12	,	,	PUNCT
ejpam-5908	174	13	which	which	PRON
ejpam-5908	174	14	is	be	AUX
ejpam-5908	174	15	:	:	PUNCT
ejpam-5908	174	16	δ1m(x	δ1m(x	X
ejpam-5908	174	17	)	)	PUNCT
ejpam-5908	174	18	≤	≤	NOUN
ejpam-5908	174	19	δ2m(x	δ2m(x	NOUN
ejpam-5908	174	20	)	)	PUNCT
ejpam-5908	174	21	≤	≤	NOUN
ejpam-5908	174	22	·	·	PUNCT
ejpam-5908	174	23	·	·	PUNCT
ejpam-5908	174	24	·	·	PUNCT
ejpam-5908	175	1	≤	≤	NUM
ejpam-5908	175	2	δkm(x	δkm(x	PROPN
ejpam-5908	175	3	)	)	PUNCT
ejpam-5908	175	4	=	=	SYM
ejpam-5908	175	5	δm(x	δm(x	X
ejpam-5908	175	6	)	)	PUNCT
ejpam-5908	175	7	δ1n(x	δ1n(x	PROPN
ejpam-5908	175	8	)	)	PUNCT
ejpam-5908	175	9	≥	≥	NOUN
ejpam-5908	175	10	δ2n(x	δ2n(x	PROPN
ejpam-5908	175	11	)	)	PUNCT
ejpam-5908	175	12	≥	≥	NOUN
ejpam-5908	175	13	·	·	PUNCT
ejpam-5908	175	14	·	·	PUNCT
ejpam-5908	175	15	·	·	PUNCT
ejpam-5908	175	16	≥	≥	NUM
ejpam-5908	175	17	δkn(x	δkn(x	X
ejpam-5908	175	18	)	)	PUNCT
ejpam-5908	175	19	=	=	SYM
ejpam-5908	175	20	δn(x	δn(x	X
ejpam-5908	175	21	)	)	PUNCT
ejpam-5908	175	22	}	}	PUNCT
ejpam-5908	175	23	,	,	PUNCT
ejpam-5908	175	24	(	(	PUNCT
ejpam-5908	175	25	12	12	NUM
ejpam-5908	175	26	)	)	PUNCT
ejpam-5908	175	27	p.	p.	NOUN
ejpam-5908	175	28	a.	a.	NOUN
ejpam-5908	175	29	ejegwa	ejegwa	PROPN
ejpam-5908	175	30	,	,	PUNCT
ejpam-5908	175	31	n.	n.	PROPN
ejpam-5908	175	32	kausar	kausar	PROPN
ejpam-5908	175	33	,	,	PUNCT
ejpam-5908	175	34	t.	t.	NOUN
ejpam-5908	175	35	cagin	cagin	PROPN
ejpam-5908	175	36	/	/	SYM
ejpam-5908	175	37	eur	eur	PROPN
ejpam-5908	175	38	.	.	PUNCT
ejpam-5908	176	1	j.	j.	PROPN
ejpam-5908	176	2	pure	pure	PROPN
ejpam-5908	176	3	appl	appl	PROPN
ejpam-5908	176	4	.	.	PROPN
ejpam-5908	176	5	math	math	PROPN
ejpam-5908	176	6	,	,	PUNCT
ejpam-5908	176	7	18	18	NUM
ejpam-5908	176	8	(	(	PUNCT
ejpam-5908	176	9	2	2	NUM
ejpam-5908	176	10	)	)	PUNCT
ejpam-5908	176	11	(	(	PUNCT
ejpam-5908	176	12	2025	2025	NUM
ejpam-5908	176	13	)	)	PUNCT
ejpam-5908	176	14	,	,	PUNCT
ejpam-5908	176	15	5908	5908	NUM
ejpam-5908	176	16	8	8	NUM
ejpam-5908	176	17	of	of	ADP
ejpam-5908	176	18	11	11	NUM
ejpam-5908	176	19	∀x	∀x	NUM
ejpam-5908	176	20	∈	∈	PROPN
ejpam-5908	176	21	g	g	NOUN
ejpam-5908	176	22	such	such	ADJ
ejpam-5908	176	23	that	that	PRON
ejpam-5908	176	24	δ1∗	δ1∗	NOUN
ejpam-5908	176	25	=	=	PUNCT
ejpam-5908	176	26	δ2∗	δ2∗	X
ejpam-5908	176	27	=	=	PUNCT
ejpam-5908	176	28	·	·	PUNCT
ejpam-5908	176	29	·	·	PUNCT
ejpam-5908	176	30	·	·	PUNCT
ejpam-5908	177	1	=	=	SYM
ejpam-5908	177	2	δk∗	δk∗	NOUN
ejpam-5908	177	3	=	=	SYM
ejpam-5908	177	4	g	g	NOUN
ejpam-5908	177	5	with	with	ADP
ejpam-5908	177	6	δi	δi	ADP
ejpam-5908	177	7	◁	◁	NOUN
ejpam-5908	177	8	δi+1	δi+1	NUM
ejpam-5908	177	9	∀	∀	NOUN
ejpam-5908	177	10	1	1	NUM
ejpam-5908	177	11	≤	≤	NUM
ejpam-5908	177	12	i	i	NOUN
ejpam-5908	178	1	≤	≤	NOUN
ejpam-5908	178	2	k	k	NOUN
ejpam-5908	178	3	and	and	CCONJ
ejpam-5908	178	4	δi+1	δi+1	NUM
ejpam-5908	178	5	/	/	SYM
ejpam-5908	178	6	δi	δi	NOUN
ejpam-5908	178	7	is	be	AUX
ejpam-5908	178	8	simple	simple	ADJ
ejpam-5908	178	9	∀	∀	NOUN
ejpam-5908	178	10	1	1	NUM
ejpam-5908	178	11	≤	≤	NUM
ejpam-5908	178	12	i	i	PRON
ejpam-5908	178	13	≤	≤	PROPN
ejpam-5908	179	1	k.	k.	PROPN
ejpam-5908	180	1	but	but	CCONJ
ejpam-5908	180	2	δ	δ	PROPN
ejpam-5908	180	3	◁	◁	VERB
ejpam-5908	180	4	γ	γ	X
ejpam-5908	180	5	because	because	SCONJ
ejpam-5908	180	6	δ	δ	PROPN
ejpam-5908	180	7	is	be	AUX
ejpam-5908	180	8	maximal	maximal	ADJ
ejpam-5908	180	9	in	in	ADP
ejpam-5908	180	10	γ	γ	PROPN
ejpam-5908	180	11	,	,	PUNCT
ejpam-5908	180	12	then	then	ADV
ejpam-5908	180	13	we	we	PRON
ejpam-5908	180	14	have	have	VERB
ejpam-5908	180	15	δ1m(x	δ1m(x	PROPN
ejpam-5908	180	16	)	)	PUNCT
ejpam-5908	180	17	≤	≤	NOUN
ejpam-5908	180	18	δ2m(x	δ2m(x	NOUN
ejpam-5908	180	19	)	)	PUNCT
ejpam-5908	180	20	≤	≤	NOUN
ejpam-5908	180	21	·	·	PUNCT
ejpam-5908	180	22	·	·	PUNCT
ejpam-5908	180	23	·	·	PUNCT
ejpam-5908	181	1	≤	≤	NUM
ejpam-5908	181	2	δkm(x	δkm(x	PROPN
ejpam-5908	181	3	)	)	PUNCT
ejpam-5908	181	4	=	=	SYM
ejpam-5908	181	5	δm(x	δm(x	NOUN
ejpam-5908	181	6	)	)	PUNCT
ejpam-5908	181	7	≤	≤	NOUN
ejpam-5908	181	8	γm(x	γm(x	PUNCT
ejpam-5908	181	9	)	)	PUNCT
ejpam-5908	181	10	δ1n(x	δ1n(x	PROPN
ejpam-5908	181	11	)	)	PUNCT
ejpam-5908	181	12	≥	≥	NOUN
ejpam-5908	181	13	δ2n(x	δ2n(x	PROPN
ejpam-5908	181	14	)	)	PUNCT
ejpam-5908	181	15	≥	≥	NOUN
ejpam-5908	181	16	·	·	PUNCT
ejpam-5908	181	17	·	·	PUNCT
ejpam-5908	181	18	·	·	PUNCT
ejpam-5908	181	19	≥	≥	NUM
ejpam-5908	181	20	δkn(x	δkn(x	X
ejpam-5908	181	21	)	)	PUNCT
ejpam-5908	181	22	=	=	SYM
ejpam-5908	181	23	δn(x	δn(x	X
ejpam-5908	181	24	)	)	PUNCT
ejpam-5908	181	25	≥	≥	NOUN
ejpam-5908	181	26	γn(x	γn(x	PROPN
ejpam-5908	181	27	)	)	PUNCT
ejpam-5908	181	28	}	}	PUNCT
ejpam-5908	181	29	(	(	PUNCT
ejpam-5908	181	30	13	13	NUM
ejpam-5908	181	31	)	)	PUNCT
ejpam-5908	181	32	∀x	∀x	VERB
ejpam-5908	181	33	∈	∈	PROPN
ejpam-5908	181	34	g	g	NOUN
ejpam-5908	181	35	,	,	PUNCT
ejpam-5908	181	36	which	which	PRON
ejpam-5908	181	37	proves	prove	VERB
ejpam-5908	181	38	that	that	SCONJ
ejpam-5908	181	39	γ	γ	PROPN
ejpam-5908	181	40	has	have	VERB
ejpam-5908	181	41	a	a	DET
ejpam-5908	181	42	composition	composition	NOUN
ejpam-5908	181	43	series	series	NOUN
ejpam-5908	181	44	.	.	PUNCT
ejpam-5908	182	1	theorem	theorem	VERB
ejpam-5908	182	2	3	3	NUM
ejpam-5908	182	3	(	(	PUNCT
ejpam-5908	182	4	the	the	DET
ejpam-5908	182	5	jordan	jordan	PROPN
ejpam-5908	182	6	-	-	PUNCT
ejpam-5908	182	7	hölder	hölder	NOUN
ejpam-5908	182	8	theorem	theorem	NOUN
ejpam-5908	182	9	)	)	PUNCT
ejpam-5908	182	10	.	.	PUNCT
ejpam-5908	183	1	every	every	DET
ejpam-5908	183	2	ifg	ifg	NOUN
ejpam-5908	183	3	of	of	ADP
ejpam-5908	183	4	a	a	DET
ejpam-5908	183	5	finite	finite	ADJ
ejpam-5908	183	6	group	group	NOUN
ejpam-5908	183	7	has	have	VERB
ejpam-5908	183	8	at	at	ADV
ejpam-5908	183	9	least	least	ADV
ejpam-5908	183	10	two	two	NUM
ejpam-5908	183	11	equivalent	equivalent	ADJ
ejpam-5908	183	12	composition	composition	NOUN
ejpam-5908	183	13	series	series	NOUN
ejpam-5908	183	14	.	.	PUNCT
ejpam-5908	184	1	proof	proof	NOUN
ejpam-5908	184	2	.	.	PUNCT
ejpam-5908	185	1	let	let	VERB
ejpam-5908	185	2	γ	γ	NOUN
ejpam-5908	185	3	be	be	AUX
ejpam-5908	185	4	an	an	DET
ejpam-5908	185	5	ifg	ifg	NOUN
ejpam-5908	185	6	of	of	ADP
ejpam-5908	185	7	a	a	DET
ejpam-5908	185	8	finite	finite	ADJ
ejpam-5908	185	9	group	group	NOUN
ejpam-5908	185	10	g.	g.	PROPN
ejpam-5908	185	11	assume	assume	VERB
ejpam-5908	185	12	γ	γ	PROPN
ejpam-5908	185	13	has	have	VERB
ejpam-5908	185	14	two	two	NUM
ejpam-5908	185	15	composition	composition	NOUN
ejpam-5908	185	16	series	series	NOUN
ejpam-5908	185	17	:	:	PUNCT
ejpam-5908	185	18	γ1m(x	γ1m(x	PROPN
ejpam-5908	185	19	)	)	PUNCT
ejpam-5908	185	20	≤	≤	PUNCT
ejpam-5908	186	1	γ2m(x	γ2m(x	PROPN
ejpam-5908	186	2	)	)	PUNCT
ejpam-5908	186	3	≤	≤	NOUN
ejpam-5908	186	4	·	·	PUNCT
ejpam-5908	187	1	·	·	PUNCT
ejpam-5908	187	2	·	·	PUNCT
ejpam-5908	187	3	≤	≤	NUM
ejpam-5908	187	4	γkm(x	γkm(x	PROPN
ejpam-5908	187	5	)	)	PUNCT
ejpam-5908	187	6	=	=	PUNCT
ejpam-5908	187	7	γm(x	γm(x	X
ejpam-5908	187	8	)	)	PUNCT
ejpam-5908	187	9	γ1n(x	γ1n(x	PROPN
ejpam-5908	187	10	)	)	PUNCT
ejpam-5908	187	11	≥	≥	NOUN
ejpam-5908	187	12	γ2n(x	γ2n(x	PROPN
ejpam-5908	187	13	)	)	PUNCT
ejpam-5908	187	14	≥	≥	X
ejpam-5908	187	15	·	·	PUNCT
ejpam-5908	187	16	·	·	PUNCT
ejpam-5908	187	17	·	·	PUNCT
ejpam-5908	187	18	≥	≥	NUM
ejpam-5908	187	19	γkn(x	γkn(x	ADP
ejpam-5908	187	20	)	)	PUNCT
ejpam-5908	187	21	=	=	SYM
ejpam-5908	187	22	γn(x	γn(x	X
ejpam-5908	187	23	)	)	PUNCT
ejpam-5908	187	24	}	}	PUNCT
ejpam-5908	187	25	,	,	PUNCT
ejpam-5908	187	26	(	(	PUNCT
ejpam-5908	187	27	14	14	X
ejpam-5908	187	28	)	)	PUNCT
ejpam-5908	187	29	δ1m(x	δ1m(x	PROPN
ejpam-5908	187	30	)	)	PUNCT
ejpam-5908	187	31	≤	≤	NOUN
ejpam-5908	187	32	δ2m(x	δ2m(x	NOUN
ejpam-5908	187	33	)	)	PUNCT
ejpam-5908	187	34	≤	≤	NOUN
ejpam-5908	187	35	·	·	PUNCT
ejpam-5908	187	36	·	·	PUNCT
ejpam-5908	187	37	·	·	PUNCT
ejpam-5908	187	38	≤	≤	NUM
ejpam-5908	187	39	δlm(x	δlm(x	PROPN
ejpam-5908	187	40	)	)	PUNCT
ejpam-5908	187	41	=	=	SYM
ejpam-5908	187	42	δm(x	δm(x	X
ejpam-5908	187	43	)	)	PUNCT
ejpam-5908	187	44	δ1n(x	δ1n(x	PROPN
ejpam-5908	187	45	)	)	PUNCT
ejpam-5908	187	46	≥	≥	NOUN
ejpam-5908	187	47	δ2n(x	δ2n(x	PROPN
ejpam-5908	187	48	)	)	PUNCT
ejpam-5908	187	49	≥	≥	NOUN
ejpam-5908	187	50	·	·	PUNCT
ejpam-5908	187	51	·	·	PUNCT
ejpam-5908	187	52	·	·	PUNCT
ejpam-5908	187	53	≥	≥	X
ejpam-5908	187	54	δln(x	δln(x	PROPN
ejpam-5908	187	55	)	)	PUNCT
ejpam-5908	187	56	=	=	PUNCT
ejpam-5908	187	57	δn(x	δn(x	X
ejpam-5908	187	58	)	)	PUNCT
ejpam-5908	187	59	}	}	PUNCT
ejpam-5908	187	60	,	,	PUNCT
ejpam-5908	187	61	(	(	PUNCT
ejpam-5908	187	62	15	15	X
ejpam-5908	187	63	)	)	PUNCT
ejpam-5908	188	1	such	such	ADJ
ejpam-5908	188	2	that	that	DET
ejpam-5908	188	3	γi	γi	ADP
ejpam-5908	188	4	◁	◁	X
ejpam-5908	188	5	γi+1	γi+1	NOUN
ejpam-5908	188	6	with	with	ADP
ejpam-5908	188	7	γi+1	γi+1	NOUN
ejpam-5908	188	8	/	/	SYM
ejpam-5908	188	9	γi	γi	X
ejpam-5908	188	10	simple	simple	ADJ
ejpam-5908	188	11	∀	∀	NOUN
ejpam-5908	188	12	1	1	NUM
ejpam-5908	188	13	≤	≤	NUM
ejpam-5908	188	14	i	i	NOUN
ejpam-5908	188	15	≤	≤	ADJ
ejpam-5908	188	16	k	k	PRON
ejpam-5908	188	17	and	and	CCONJ
ejpam-5908	188	18	δi	δi	VERB
ejpam-5908	188	19	◁	◁	NOUN
ejpam-5908	188	20	δi+1	δi+1	NOUN
ejpam-5908	188	21	with	with	ADP
ejpam-5908	188	22	δi+1	δi+1	NOUN
ejpam-5908	188	23	/	/	SYM
ejpam-5908	188	24	δi	δi	NOUN
ejpam-5908	188	25	simple	simple	ADJ
ejpam-5908	188	26	∀	∀	NOUN
ejpam-5908	188	27	1	1	NUM
ejpam-5908	188	28	≤	≤	NUM
ejpam-5908	188	29	i	i	PRON
ejpam-5908	188	30	≤	≤	PROPN
ejpam-5908	188	31	l.	l.	NOUN
ejpam-5908	188	32	in	in	ADP
ejpam-5908	188	33	each	each	DET
ejpam-5908	188	34	series	series	NOUN
ejpam-5908	188	35	,	,	PUNCT
ejpam-5908	188	36	γ1∗	γ1∗	PUNCT
ejpam-5908	188	37	=	=	PUNCT
ejpam-5908	189	1	γ2∗	γ2∗	PROPN
ejpam-5908	189	2	=	=	PUNCT
ejpam-5908	189	3	·	·	PUNCT
ejpam-5908	189	4	·	·	PUNCT
ejpam-5908	189	5	·	·	PUNCT
ejpam-5908	190	1	=	=	SYM
ejpam-5908	190	2	γk∗	γk∗	PROPN
ejpam-5908	190	3	=	=	SYM
ejpam-5908	190	4	g	g	PROPN
ejpam-5908	190	5	and	and	CCONJ
ejpam-5908	190	6	δ1∗	δ1∗	NOUN
ejpam-5908	190	7	=	=	PUNCT
ejpam-5908	191	1	δ2∗	δ2∗	X
ejpam-5908	191	2	=	=	PUNCT
ejpam-5908	191	3	·	·	PUNCT
ejpam-5908	191	4	·	·	PUNCT
ejpam-5908	191	5	·	·	PUNCT
ejpam-5908	192	1	=	=	PUNCT
ejpam-5908	192	2	δl∗	δl∗	X
ejpam-5908	192	3	=	=	PUNCT
ejpam-5908	192	4	g.	g.	PROPN
ejpam-5908	192	5	now	now	ADV
ejpam-5908	192	6	,	,	PUNCT
ejpam-5908	192	7	we	we	PRON
ejpam-5908	192	8	show	show	VERB
ejpam-5908	192	9	that	that	SCONJ
ejpam-5908	192	10	k	k	NOUN
ejpam-5908	192	11	=	=	PUNCT
ejpam-5908	192	12	l	l	PROPN
ejpam-5908	192	13	and	and	CCONJ
ejpam-5908	192	14	(	(	PUNCT
ejpam-5908	192	15	γ2	γ2	PROPN
ejpam-5908	192	16	/	/	SYM
ejpam-5908	192	17	γ1	γ1	NOUN
ejpam-5908	192	18	,	,	PUNCT
ejpam-5908	192	19	γ3	γ3	NOUN
ejpam-5908	192	20	/	/	SYM
ejpam-5908	192	21	γ2	γ2	PROPN
ejpam-5908	192	22	,	,	PUNCT
ejpam-5908	192	23	·	·	PUNCT
ejpam-5908	192	24	·	·	PUNCT
ejpam-5908	192	25	·	·	PUNCT
ejpam-5908	192	26	,	,	PUNCT
ejpam-5908	192	27	γk	γk	NOUN
ejpam-5908	192	28	/	/	SYM
ejpam-5908	192	29	γk−1	γk−1	ADJ
ejpam-5908	192	30	)	)	PUNCT
ejpam-5908	192	31	is	be	AUX
ejpam-5908	192	32	identical	identical	ADJ
ejpam-5908	192	33	to	to	ADP
ejpam-5908	192	34	(	(	PUNCT
ejpam-5908	192	35	δ2	δ2	VERB
ejpam-5908	192	36	/	/	SYM
ejpam-5908	192	37	δ1	δ1	NOUN
ejpam-5908	192	38	,	,	PUNCT
ejpam-5908	192	39	δ3	δ3	PROPN
ejpam-5908	192	40	/	/	SYM
ejpam-5908	192	41	δ2	δ2	VERB
ejpam-5908	192	42	,	,	PUNCT
ejpam-5908	192	43	·	·	PUNCT
ejpam-5908	192	44	·	·	PUNCT
ejpam-5908	192	45	·	·	PUNCT
ejpam-5908	192	46	,	,	PUNCT
ejpam-5908	192	47	δl	δl	PROPN
ejpam-5908	192	48	/	/	SYM
ejpam-5908	192	49	δl−1	δl−1	ADJ
ejpam-5908	192	50	)	)	PUNCT
ejpam-5908	192	51	.	.	PUNCT
ejpam-5908	193	1	we	we	PRON
ejpam-5908	193	2	establish	establish	VERB
ejpam-5908	193	3	the	the	DET
ejpam-5908	193	4	proof	proof	NOUN
ejpam-5908	193	5	by	by	ADP
ejpam-5908	193	6	induction	induction	NOUN
ejpam-5908	193	7	on	on	ADP
ejpam-5908	193	8	|γ|	|γ|	PROPN
ejpam-5908	193	9	.	.	PUNCT
ejpam-5908	194	1	the	the	DET
ejpam-5908	194	2	proof	proof	NOUN
ejpam-5908	194	3	is	be	AUX
ejpam-5908	194	4	trivial	trivial	ADJ
ejpam-5908	194	5	if	if	SCONJ
ejpam-5908	194	6	|γ|	|γ|	PROPN
ejpam-5908	194	7	=	=	SYM
ejpam-5908	194	8	1	1	X
ejpam-5908	194	9	.	.	X
ejpam-5908	194	10	assume	assume	VERB
ejpam-5908	194	11	γ(k−1	γ(k−1	PUNCT
ejpam-5908	194	12	)	)	PUNCT
ejpam-5908	194	13	=	=	SYM
ejpam-5908	194	14	δ(l−1	δ(l−1	NOUN
ejpam-5908	194	15	)	)	PUNCT
ejpam-5908	194	16	,	,	PUNCT
ejpam-5908	194	17	then	then	ADV
ejpam-5908	194	18	the	the	DET
ejpam-5908	194	19	result	result	NOUN
ejpam-5908	194	20	is	be	AUX
ejpam-5908	194	21	straightforward	straightforward	ADJ
ejpam-5908	194	22	by	by	ADP
ejpam-5908	194	23	induction	induction	NOUN
ejpam-5908	194	24	.	.	PUNCT
ejpam-5908	195	1	on	on	ADP
ejpam-5908	195	2	the	the	DET
ejpam-5908	195	3	contrary	contrary	NOUN
ejpam-5908	195	4	,	,	PUNCT
ejpam-5908	195	5	assume	assume	VERB
ejpam-5908	195	6	γ(k−1	γ(k−1	PUNCT
ejpam-5908	195	7	)	)	PUNCT
ejpam-5908	195	8	̸=	̸=	PROPN
ejpam-5908	195	9	δ(l−1	δ(l−1	NOUN
ejpam-5908	195	10	)	)	PUNCT
ejpam-5908	195	11	.	.	PUNCT
ejpam-5908	196	1	set	set	VERB
ejpam-5908	196	2	a	a	DET
ejpam-5908	196	3	=	=	X
ejpam-5908	196	4	γ(k−1	γ(k−1	X
ejpam-5908	196	5	)	)	PUNCT
ejpam-5908	196	6	,	,	PUNCT
ejpam-5908	196	7	b	b	X
ejpam-5908	196	8	=	=	PUNCT
ejpam-5908	196	9	δ(l−1	δ(l−1	PROPN
ejpam-5908	196	10	)	)	PUNCT
ejpam-5908	196	11	,	,	PUNCT
ejpam-5908	196	12	and	and	CCONJ
ejpam-5908	196	13	c	c	X
ejpam-5908	196	14	=	=	SYM
ejpam-5908	196	15	a∩b	a∩b	PROPN
ejpam-5908	196	16	,	,	PUNCT
ejpam-5908	196	17	where	where	SCONJ
ejpam-5908	196	18	c	c	PROPN
ejpam-5908	196	19	is	be	AUX
ejpam-5908	196	20	a	a	DET
ejpam-5908	196	21	maximal	maximal	ADJ
ejpam-5908	196	22	ifnsg	ifnsg	NOUN
ejpam-5908	196	23	of	of	ADP
ejpam-5908	196	24	γ(k−1	γ(k−1	ADJ
ejpam-5908	196	25	)	)	PUNCT
ejpam-5908	196	26	and	and	CCONJ
ejpam-5908	196	27	δ(l−1	δ(l−1	NOUN
ejpam-5908	196	28	)	)	PUNCT
ejpam-5908	196	29	.	.	PUNCT
ejpam-5908	197	1	but	but	CCONJ
ejpam-5908	197	2	,	,	PUNCT
ejpam-5908	197	3	c	c	PROPN
ejpam-5908	197	4	has	have	VERB
ejpam-5908	197	5	a	a	DET
ejpam-5908	197	6	composition	composition	NOUN
ejpam-5908	197	7	series	series	NOUN
ejpam-5908	197	8	,	,	PUNCT
ejpam-5908	197	9	c1m(x	c1m(x	PROPN
ejpam-5908	197	10	)	)	PUNCT
ejpam-5908	197	11	≤	≤	NUM
ejpam-5908	198	1	c2m(x	c2m(x	NOUN
ejpam-5908	198	2	)	)	PUNCT
ejpam-5908	198	3	≤	≤	NOUN
ejpam-5908	198	4	·	·	PUNCT
ejpam-5908	198	5	·	·	PUNCT
ejpam-5908	198	6	·	·	PUNCT
ejpam-5908	199	1	≤	≤	NUM
ejpam-5908	199	2	ctm(x	ctm(x	X
ejpam-5908	199	3	)	)	PUNCT
ejpam-5908	199	4	=	=	SYM
ejpam-5908	199	5	cm(x	cm(x	X
ejpam-5908	199	6	)	)	PUNCT
ejpam-5908	199	7	c1n(x	c1n(x	PROPN
ejpam-5908	199	8	)	)	PUNCT
ejpam-5908	199	9	≥	≥	NOUN
ejpam-5908	199	10	c2n(x	c2n(x	PROPN
ejpam-5908	199	11	)	)	PUNCT
ejpam-5908	199	12	≥	≥	NOUN
ejpam-5908	199	13	·	·	PUNCT
ejpam-5908	199	14	·	·	PUNCT
ejpam-5908	199	15	·	·	PUNCT
ejpam-5908	199	16	≥	≥	X
ejpam-5908	199	17	ctn(x	ctn(x	X
ejpam-5908	199	18	)	)	PUNCT
ejpam-5908	199	19	=	=	SYM
ejpam-5908	199	20	cn(x	cn(x	X
ejpam-5908	199	21	)	)	PUNCT
ejpam-5908	199	22	}	}	PUNCT
ejpam-5908	199	23	,	,	PUNCT
ejpam-5908	199	24	(	(	PUNCT
ejpam-5908	199	25	16	16	NUM
ejpam-5908	199	26	)	)	PUNCT
ejpam-5908	199	27	∀x	∀x	VERB
ejpam-5908	199	28	∈	∈	PROPN
ejpam-5908	199	29	g.	g.	NOUN
ejpam-5908	199	30	then	then	ADV
ejpam-5908	199	31	,	,	PUNCT
ejpam-5908	199	32	γ1m(x	γ1m(x	PROPN
ejpam-5908	199	33	)	)	PUNCT
ejpam-5908	199	34	≤	≤	PUNCT
ejpam-5908	200	1	γ2m(x	γ2m(x	PROPN
ejpam-5908	200	2	)	)	PUNCT
ejpam-5908	200	3	≤	≤	NOUN
ejpam-5908	200	4	·	·	PUNCT
ejpam-5908	200	5	·	·	PUNCT
ejpam-5908	200	6	·	·	PUNCT
ejpam-5908	201	1	≤	≤	NUM
ejpam-5908	201	2	γ(k−1)m	γ(k−1)m	NUM
ejpam-5908	201	3	(	(	PUNCT
ejpam-5908	201	4	x	x	NOUN
ejpam-5908	201	5	)	)	PUNCT
ejpam-5908	201	6	=	=	SYM
ejpam-5908	201	7	am(x	am(x	NOUN
ejpam-5908	201	8	)	)	PUNCT
ejpam-5908	201	9	γ1n(x	γ1n(x	PROPN
ejpam-5908	201	10	)	)	PUNCT
ejpam-5908	201	11	≥	≥	NOUN
ejpam-5908	201	12	γ2n(x	γ2n(x	PROPN
ejpam-5908	201	13	)	)	PUNCT
ejpam-5908	201	14	≥	≥	X
ejpam-5908	201	15	·	·	PUNCT
ejpam-5908	201	16	·	·	PUNCT
ejpam-5908	201	17	·	·	PUNCT
ejpam-5908	201	18	≥	≥	PUNCT
ejpam-5908	202	1	γ(k−1)n	γ(k−1)n	NOUN
ejpam-5908	202	2	(	(	PUNCT
ejpam-5908	202	3	x	x	X
ejpam-5908	202	4	)	)	PUNCT
ejpam-5908	202	5	=	=	NOUN
ejpam-5908	202	6	an(x	an(x	NOUN
ejpam-5908	202	7	)	)	PUNCT
ejpam-5908	202	8	}	}	PUNCT
ejpam-5908	202	9	(	(	PUNCT
ejpam-5908	202	10	17	17	NUM
ejpam-5908	202	11	)	)	PUNCT
ejpam-5908	202	12	∀x	∀x	VERB
ejpam-5908	202	13	∈	∈	PROPN
ejpam-5908	202	14	g	g	NOUN
ejpam-5908	202	15	,	,	PUNCT
ejpam-5908	202	16	and	and	CCONJ
ejpam-5908	202	17	c1m(x	c1m(x	PROPN
ejpam-5908	202	18	)	)	PUNCT
ejpam-5908	202	19	≤	≤	NUM
ejpam-5908	202	20	c2m(x	c2m(x	NOUN
ejpam-5908	202	21	)	)	PUNCT
ejpam-5908	202	22	≤	≤	NOUN
ejpam-5908	202	23	·	·	PUNCT
ejpam-5908	202	24	·	·	PUNCT
ejpam-5908	202	25	·	·	PUNCT
ejpam-5908	203	1	≤	≤	NUM
ejpam-5908	203	2	ctm(x	ctm(x	X
ejpam-5908	203	3	)	)	PUNCT
ejpam-5908	203	4	=	=	SYM
ejpam-5908	203	5	cm(x	cm(x	NOUN
ejpam-5908	203	6	)	)	PUNCT
ejpam-5908	203	7	≤	≤	NOUN
ejpam-5908	203	8	am(x	am(x	PUNCT
ejpam-5908	203	9	)	)	PUNCT
ejpam-5908	203	10	c1n(x	c1n(x	PROPN
ejpam-5908	203	11	)	)	PUNCT
ejpam-5908	203	12	≥	≥	NOUN
ejpam-5908	203	13	c2n(x	c2n(x	PROPN
ejpam-5908	203	14	)	)	PUNCT
ejpam-5908	203	15	≥	≥	NOUN
ejpam-5908	203	16	·	·	PUNCT
ejpam-5908	203	17	·	·	PUNCT
ejpam-5908	203	18	·	·	PUNCT
ejpam-5908	203	19	≥	≥	X
ejpam-5908	203	20	ctn(x	ctn(x	X
ejpam-5908	203	21	)	)	PUNCT
ejpam-5908	203	22	=	=	SYM
ejpam-5908	203	23	cn(x	cn(x	X
ejpam-5908	203	24	)	)	PUNCT
ejpam-5908	203	25	≤	≤	NOUN
ejpam-5908	203	26	an(x	an(x	NOUN
ejpam-5908	203	27	)	)	PUNCT
ejpam-5908	203	28	}	}	PUNCT
ejpam-5908	203	29	(	(	PUNCT
ejpam-5908	203	30	18	18	NUM
ejpam-5908	203	31	)	)	PUNCT
ejpam-5908	203	32	∀x	∀x	VERB
ejpam-5908	203	33	∈	∈	PROPN
ejpam-5908	203	34	g	g	NOUN
ejpam-5908	203	35	are	be	AUX
ejpam-5908	203	36	the	the	DET
ejpam-5908	203	37	composition	composition	NOUN
ejpam-5908	203	38	series	series	NOUN
ejpam-5908	203	39	for	for	ADP
ejpam-5908	203	40	a.	a.	NOUN
ejpam-5908	203	41	by	by	ADP
ejpam-5908	203	42	induction	induction	NOUN
ejpam-5908	203	43	,	,	PUNCT
ejpam-5908	203	44	we	we	PRON
ejpam-5908	203	45	have	have	VERB
ejpam-5908	203	46	k−	k−	PROPN
ejpam-5908	203	47	1	1	NUM
ejpam-5908	203	48	=	=	SYM
ejpam-5908	203	49	t+1	t+1	PROPN
ejpam-5908	203	50	⇒	⇒	PROPN
ejpam-5908	203	51	k−	k−	PROPN
ejpam-5908	203	52	2	2	NUM
ejpam-5908	203	53	=	=	SYM
ejpam-5908	203	54	t	t	PROPN
ejpam-5908	203	55	,	,	PUNCT
ejpam-5908	203	56	and	and	CCONJ
ejpam-5908	203	57	(	(	PUNCT
ejpam-5908	203	58	γ2	γ2	ADJ
ejpam-5908	203	59	/	/	SYM
ejpam-5908	203	60	γ1	γ1	NOUN
ejpam-5908	203	61	,	,	PUNCT
ejpam-5908	203	62	γ3	γ3	NOUN
ejpam-5908	203	63	/	/	SYM
ejpam-5908	203	64	γ2	γ2	PROPN
ejpam-5908	203	65	,	,	PUNCT
ejpam-5908	203	66	·	·	PUNCT
ejpam-5908	203	67	·	·	PUNCT
ejpam-5908	203	68	·	·	PUNCT
ejpam-5908	203	69	,	,	PUNCT
ejpam-5908	203	70	γ(k−1)/γ(k−2	γ(k−1)/γ(k−2	PROPN
ejpam-5908	203	71	)	)	PUNCT
ejpam-5908	203	72	)	)	PUNCT
ejpam-5908	204	1	∼	∼	NOUN
ejpam-5908	204	2	(	(	PUNCT
ejpam-5908	204	3	c2	c2	PROPN
ejpam-5908	204	4	/	/	SYM
ejpam-5908	204	5	c1	c1	PROPN
ejpam-5908	204	6	,	,	PUNCT
ejpam-5908	204	7	c3	c3	PROPN
ejpam-5908	204	8	/	/	SYM
ejpam-5908	204	9	c2	c2	PROPN
ejpam-5908	204	10	,	,	PUNCT
ejpam-5908	204	11	·	·	PUNCT
ejpam-5908	204	12	·	·	PUNCT
ejpam-5908	204	13	·	·	PUNCT
ejpam-5908	204	14	,	,	PUNCT
ejpam-5908	204	15	ct	ct	PROPN
ejpam-5908	204	16	/	/	SYM
ejpam-5908	204	17	ct−1	ct−1	PROPN
ejpam-5908	204	18	,	,	PUNCT
ejpam-5908	204	19	a	a	PRON
ejpam-5908	204	20	/	/	SYM
ejpam-5908	204	21	c	c	NOUN
ejpam-5908	204	22	)	)	PUNCT
ejpam-5908	204	23	.	.	PUNCT
ejpam-5908	205	1	(	(	PUNCT
ejpam-5908	205	2	19	19	NUM
ejpam-5908	205	3	)	)	PUNCT
ejpam-5908	205	4	p.	p.	NOUN
ejpam-5908	205	5	a.	a.	NOUN
ejpam-5908	205	6	ejegwa	ejegwa	PROPN
ejpam-5908	205	7	,	,	PUNCT
ejpam-5908	205	8	n.	n.	PROPN
ejpam-5908	205	9	kausar	kausar	PROPN
ejpam-5908	205	10	,	,	PUNCT
ejpam-5908	205	11	t.	t.	NOUN
ejpam-5908	205	12	cagin	cagin	PROPN
ejpam-5908	205	13	/	/	SYM
ejpam-5908	205	14	eur	eur	PROPN
ejpam-5908	205	15	.	.	PUNCT
ejpam-5908	206	1	j.	j.	PROPN
ejpam-5908	206	2	pure	pure	PROPN
ejpam-5908	206	3	appl	appl	PROPN
ejpam-5908	206	4	.	.	PROPN
ejpam-5908	206	5	math	math	PROPN
ejpam-5908	206	6	,	,	PUNCT
ejpam-5908	206	7	18	18	NUM
ejpam-5908	206	8	(	(	PUNCT
ejpam-5908	206	9	2	2	NUM
ejpam-5908	206	10	)	)	PUNCT
ejpam-5908	206	11	(	(	PUNCT
ejpam-5908	206	12	2025	2025	NUM
ejpam-5908	206	13	)	)	PUNCT
ejpam-5908	206	14	,	,	PUNCT
ejpam-5908	206	15	5908	5908	NUM
ejpam-5908	206	16	9	9	NUM
ejpam-5908	206	17	of	of	ADP
ejpam-5908	206	18	11	11	NUM
ejpam-5908	206	19	likewise	likewise	ADV
ejpam-5908	206	20	,	,	PUNCT
ejpam-5908	206	21	we	we	PRON
ejpam-5908	206	22	get	get	VERB
ejpam-5908	206	23	δ1m(x	δ1m(x	PROPN
ejpam-5908	206	24	)	)	PUNCT
ejpam-5908	206	25	≤	≤	NOUN
ejpam-5908	206	26	δ2m(x	δ2m(x	NOUN
ejpam-5908	206	27	)	)	PUNCT
ejpam-5908	206	28	≤	≤	NOUN
ejpam-5908	206	29	·	·	PUNCT
ejpam-5908	206	30	·	·	PUNCT
ejpam-5908	206	31	·	·	PUNCT
ejpam-5908	207	1	≤	≤	NUM
ejpam-5908	207	2	δ(l−1)m	δ(l−1)m	NOUN
ejpam-5908	207	3	(	(	PUNCT
ejpam-5908	207	4	x	x	NOUN
ejpam-5908	207	5	)	)	PUNCT
ejpam-5908	207	6	=	=	SYM
ejpam-5908	207	7	bm(x	bm(x	X
ejpam-5908	207	8	)	)	PUNCT
ejpam-5908	207	9	δ1n(x	δ1n(x	PROPN
ejpam-5908	207	10	)	)	PUNCT
ejpam-5908	207	11	≥	≥	NOUN
ejpam-5908	207	12	δ2n(x	δ2n(x	PROPN
ejpam-5908	207	13	)	)	PUNCT
ejpam-5908	207	14	≥	≥	NOUN
ejpam-5908	207	15	·	·	PUNCT
ejpam-5908	207	16	·	·	PUNCT
ejpam-5908	207	17	·	·	PUNCT
ejpam-5908	207	18	≥	≥	NUM
ejpam-5908	207	19	δ(l−1)n	δ(l−1)n	NOUN
ejpam-5908	207	20	(	(	PUNCT
ejpam-5908	207	21	x	x	NOUN
ejpam-5908	207	22	)	)	PUNCT
ejpam-5908	207	23	=	=	SYM
ejpam-5908	207	24	bn(x	bn(x	X
ejpam-5908	207	25	)	)	PUNCT
ejpam-5908	207	26	}	}	PUNCT
ejpam-5908	207	27	(	(	PUNCT
ejpam-5908	207	28	20	20	NUM
ejpam-5908	207	29	)	)	PUNCT
ejpam-5908	207	30	∀x	∀x	VERB
ejpam-5908	207	31	∈	∈	PROPN
ejpam-5908	207	32	g	g	NOUN
ejpam-5908	207	33	and	and	CCONJ
ejpam-5908	207	34	c1m(x	c1m(x	PROPN
ejpam-5908	207	35	)	)	PUNCT
ejpam-5908	207	36	≤	≤	NUM
ejpam-5908	207	37	c2m(x	c2m(x	NOUN
ejpam-5908	207	38	)	)	PUNCT
ejpam-5908	207	39	≤	≤	NOUN
ejpam-5908	207	40	·	·	PUNCT
ejpam-5908	207	41	·	·	PUNCT
ejpam-5908	207	42	·	·	PUNCT
ejpam-5908	208	1	≤	≤	NUM
ejpam-5908	208	2	ctm(x	ctm(x	X
ejpam-5908	208	3	)	)	PUNCT
ejpam-5908	208	4	=	=	SYM
ejpam-5908	208	5	cm(x	cm(x	NOUN
ejpam-5908	208	6	)	)	PUNCT
ejpam-5908	208	7	≤	≤	NOUN
ejpam-5908	208	8	bm(x	bm(x	NOUN
ejpam-5908	208	9	)	)	PUNCT
ejpam-5908	208	10	c1n(x	c1n(x	PROPN
ejpam-5908	208	11	)	)	PUNCT
ejpam-5908	208	12	≥	≥	NOUN
ejpam-5908	208	13	c2n(x	c2n(x	PROPN
ejpam-5908	208	14	)	)	PUNCT
ejpam-5908	208	15	≥	≥	NOUN
ejpam-5908	208	16	·	·	PUNCT
ejpam-5908	208	17	·	·	PUNCT
ejpam-5908	208	18	·	·	PUNCT
ejpam-5908	208	19	≥	≥	X
ejpam-5908	208	20	ctn(x	ctn(x	X
ejpam-5908	208	21	)	)	PUNCT
ejpam-5908	208	22	=	=	SYM
ejpam-5908	208	23	cn(x	cn(x	X
ejpam-5908	208	24	)	)	PUNCT
ejpam-5908	208	25	≤	≤	NOUN
ejpam-5908	208	26	bn(x	bn(x	NOUN
ejpam-5908	208	27	)	)	PUNCT
ejpam-5908	208	28	}	}	PUNCT
ejpam-5908	208	29	(	(	PUNCT
ejpam-5908	208	30	21	21	NUM
ejpam-5908	208	31	)	)	PUNCT
ejpam-5908	208	32	∀x	∀x	VERB
ejpam-5908	208	33	∈	∈	PROPN
ejpam-5908	208	34	g	g	NOUN
ejpam-5908	208	35	,	,	PUNCT
ejpam-5908	208	36	which	which	PRON
ejpam-5908	208	37	are	be	AUX
ejpam-5908	208	38	the	the	DET
ejpam-5908	208	39	composition	composition	NOUN
ejpam-5908	208	40	series	series	NOUN
ejpam-5908	208	41	for	for	ADP
ejpam-5908	208	42	b.	b.	PROPN
ejpam-5908	208	43	thus	thus	ADV
ejpam-5908	208	44	,	,	PUNCT
ejpam-5908	208	45	l	l	PROPN
ejpam-5908	208	46	−	−	PROPN
ejpam-5908	208	47	1	1	NUM
ejpam-5908	208	48	=	=	SYM
ejpam-5908	208	49	t+	t+	PUNCT
ejpam-5908	208	50	1	1	NUM
ejpam-5908	208	51	⇒	⇒	NOUN
ejpam-5908	208	52	l	l	NOUN
ejpam-5908	208	53	−	−	NOUN
ejpam-5908	208	54	2	2	NUM
ejpam-5908	208	55	=	=	SYM
ejpam-5908	208	56	t	t	PROPN
ejpam-5908	208	57	,	,	PUNCT
ejpam-5908	208	58	and	and	CCONJ
ejpam-5908	208	59	(	(	PUNCT
ejpam-5908	208	60	δ2	δ2	VERB
ejpam-5908	208	61	/	/	SYM
ejpam-5908	208	62	δ1	δ1	NOUN
ejpam-5908	208	63	,	,	PUNCT
ejpam-5908	208	64	δ3	δ3	PROPN
ejpam-5908	208	65	/	/	SYM
ejpam-5908	208	66	δ2	δ2	VERB
ejpam-5908	208	67	,	,	PUNCT
ejpam-5908	208	68	·	·	PUNCT
ejpam-5908	208	69	·	·	PUNCT
ejpam-5908	208	70	·	·	PUNCT
ejpam-5908	208	71	,	,	PUNCT
ejpam-5908	208	72	δ(l−1)/δ(l−2	δ(l−1)/δ(l−2	NOUN
ejpam-5908	208	73	)	)	PUNCT
ejpam-5908	208	74	)	)	PUNCT
ejpam-5908	208	75	∼	∼	NOUN
ejpam-5908	208	76	(	(	PUNCT
ejpam-5908	208	77	c2	c2	PROPN
ejpam-5908	208	78	/	/	SYM
ejpam-5908	208	79	c1	c1	PROPN
ejpam-5908	208	80	,	,	PUNCT
ejpam-5908	208	81	c3	c3	PROPN
ejpam-5908	208	82	/	/	SYM
ejpam-5908	208	83	c2	c2	PROPN
ejpam-5908	208	84	,	,	PUNCT
ejpam-5908	208	85	·	·	PUNCT
ejpam-5908	208	86	·	·	PUNCT
ejpam-5908	208	87	·	·	PUNCT
ejpam-5908	208	88	,	,	PUNCT
ejpam-5908	208	89	ct	ct	PROPN
ejpam-5908	208	90	/	/	SYM
ejpam-5908	208	91	c(t−1	c(t−1	PROPN
ejpam-5908	208	92	)	)	PUNCT
ejpam-5908	208	93	,	,	PUNCT
ejpam-5908	208	94	b	b	X
ejpam-5908	208	95	/	/	SYM
ejpam-5908	208	96	c	c	NOUN
ejpam-5908	208	97	)	)	PUNCT
ejpam-5908	208	98	.	.	PUNCT
ejpam-5908	209	1	(	(	PUNCT
ejpam-5908	209	2	22	22	NUM
ejpam-5908	209	3	)	)	PUNCT
ejpam-5908	209	4	from	from	ADP
ejpam-5908	209	5	k−	k−	PROPN
ejpam-5908	209	6	1	1	NUM
ejpam-5908	209	7	=	=	SYM
ejpam-5908	209	8	t+	t+	PUNCT
ejpam-5908	209	9	1	1	NUM
ejpam-5908	209	10	=	=	SYM
ejpam-5908	209	11	l−	l−	NOUN
ejpam-5908	209	12	1	1	NUM
ejpam-5908	209	13	,	,	PUNCT
ejpam-5908	209	14	we	we	PRON
ejpam-5908	209	15	have	have	VERB
ejpam-5908	209	16	k	k	NOUN
ejpam-5908	209	17	=	=	PUNCT
ejpam-5908	209	18	l.	l.	NOUN
ejpam-5908	209	19	by	by	ADP
ejpam-5908	209	20	attaching	attach	VERB
ejpam-5908	209	21	γ	γ	PROPN
ejpam-5908	209	22	/	/	SYM
ejpam-5908	209	23	a	a	NOUN
ejpam-5908	209	24	to	to	ADP
ejpam-5908	209	25	both	both	DET
ejpam-5908	209	26	sides	side	NOUN
ejpam-5908	209	27	of	of	ADP
ejpam-5908	209	28	(	(	PUNCT
ejpam-5908	209	29	19	19	NUM
ejpam-5908	209	30	)	)	PUNCT
ejpam-5908	209	31	,	,	PUNCT
ejpam-5908	209	32	we	we	PRON
ejpam-5908	209	33	have	have	VERB
ejpam-5908	209	34	(	(	PUNCT
ejpam-5908	209	35	γ2	γ2	ADJ
ejpam-5908	209	36	/	/	SYM
ejpam-5908	209	37	γ1	γ1	PROPN
ejpam-5908	209	38	,	,	PUNCT
ejpam-5908	209	39	·	·	PUNCT
ejpam-5908	209	40	·	·	PUNCT
ejpam-5908	209	41	·	·	PUNCT
ejpam-5908	209	42	,	,	PUNCT
ejpam-5908	209	43	γ(k−1)/γ(l−2	γ(k−1)/γ(l−2	NOUN
ejpam-5908	209	44	)	)	PUNCT
ejpam-5908	209	45	,	,	PUNCT
ejpam-5908	209	46	γ	γ	X
ejpam-5908	209	47	/	/	SYM
ejpam-5908	209	48	γ(k−1	γ(k−1	ADJ
ejpam-5908	209	49	)	)	PUNCT
ejpam-5908	209	50	)	)	PUNCT
ejpam-5908	210	1	∼	∼	NOUN
ejpam-5908	210	2	(	(	PUNCT
ejpam-5908	210	3	c2	c2	PROPN
ejpam-5908	210	4	/	/	SYM
ejpam-5908	210	5	c1	c1	PROPN
ejpam-5908	210	6	,	,	PUNCT
ejpam-5908	210	7	·	·	PUNCT
ejpam-5908	210	8	·	·	PUNCT
ejpam-5908	210	9	·	·	PUNCT
ejpam-5908	210	10	,	,	PUNCT
ejpam-5908	210	11	ct	ct	PROPN
ejpam-5908	210	12	/	/	SYM
ejpam-5908	210	13	c(t−1	c(t−1	PROPN
ejpam-5908	210	14	)	)	PUNCT
ejpam-5908	210	15	,	,	PUNCT
ejpam-5908	210	16	a	a	X
ejpam-5908	210	17	/	/	SYM
ejpam-5908	210	18	c	c	NOUN
ejpam-5908	210	19	,	,	PUNCT
ejpam-5908	210	20	γ	γ	X
ejpam-5908	210	21	/	/	SYM
ejpam-5908	210	22	a	a	NOUN
ejpam-5908	210	23	)	)	PUNCT
ejpam-5908	210	24	.	.	PUNCT
ejpam-5908	211	1	(	(	PUNCT
ejpam-5908	211	2	23	23	NUM
ejpam-5908	211	3	)	)	PUNCT
ejpam-5908	211	4	likewise	likewise	ADV
ejpam-5908	211	5	,	,	PUNCT
ejpam-5908	211	6	attaching	attach	VERB
ejpam-5908	211	7	γ	γ	PROPN
ejpam-5908	211	8	/	/	SYM
ejpam-5908	211	9	b	b	NOUN
ejpam-5908	211	10	to	to	ADP
ejpam-5908	211	11	both	both	DET
ejpam-5908	211	12	sides	side	NOUN
ejpam-5908	211	13	of	of	ADP
ejpam-5908	211	14	(	(	PUNCT
ejpam-5908	211	15	22	22	NUM
ejpam-5908	211	16	)	)	PUNCT
ejpam-5908	211	17	,	,	PUNCT
ejpam-5908	211	18	we	we	PRON
ejpam-5908	211	19	have	have	VERB
ejpam-5908	211	20	(	(	PUNCT
ejpam-5908	211	21	δ2	δ2	VERB
ejpam-5908	211	22	/	/	SYM
ejpam-5908	211	23	δ1	δ1	NOUN
ejpam-5908	211	24	,	,	PUNCT
ejpam-5908	211	25	·	·	PUNCT
ejpam-5908	211	26	·	·	PUNCT
ejpam-5908	211	27	·	·	PUNCT
ejpam-5908	211	28	,	,	PUNCT
ejpam-5908	211	29	δ(l−1)/δ(l−2	δ(l−1)/δ(l−2	NOUN
ejpam-5908	211	30	)	)	PUNCT
ejpam-5908	211	31	,	,	PUNCT
ejpam-5908	211	32	δ	δ	PROPN
ejpam-5908	211	33	/	/	SYM
ejpam-5908	211	34	δ(l−1	δ(l−1	PROPN
ejpam-5908	211	35	)	)	PUNCT
ejpam-5908	211	36	)	)	PUNCT
ejpam-5908	212	1	∼	∼	NOUN
ejpam-5908	212	2	(	(	PUNCT
ejpam-5908	212	3	c2	c2	PROPN
ejpam-5908	212	4	/	/	SYM
ejpam-5908	212	5	c1	c1	PROPN
ejpam-5908	212	6	,	,	PUNCT
ejpam-5908	212	7	·	·	PUNCT
ejpam-5908	212	8	·	·	PUNCT
ejpam-5908	212	9	·	·	PUNCT
ejpam-5908	212	10	,	,	PUNCT
ejpam-5908	212	11	ct	ct	PROPN
ejpam-5908	212	12	/	/	SYM
ejpam-5908	212	13	c(t−1	c(t−1	PROPN
ejpam-5908	212	14	)	)	PUNCT
ejpam-5908	212	15	,	,	PUNCT
ejpam-5908	212	16	b	b	X
ejpam-5908	212	17	/	/	SYM
ejpam-5908	212	18	c	c	PROPN
ejpam-5908	212	19	,	,	PUNCT
ejpam-5908	212	20	γ	γ	PROPN
ejpam-5908	212	21	/	/	SYM
ejpam-5908	212	22	b	b	NOUN
ejpam-5908	212	23	)	)	PUNCT
ejpam-5908	212	24	.	.	PUNCT
ejpam-5908	213	1	(	(	PUNCT
ejpam-5908	213	2	24	24	NUM
ejpam-5908	213	3	)	)	PUNCT
ejpam-5908	213	4	the	the	DET
ejpam-5908	213	5	right	right	ADJ
ejpam-5908	213	6	hand	hand	NOUN
ejpam-5908	213	7	side	side	NOUN
ejpam-5908	213	8	of	of	ADP
ejpam-5908	213	9	(	(	PUNCT
ejpam-5908	213	10	23	23	NUM
ejpam-5908	213	11	)	)	PUNCT
ejpam-5908	213	12	and	and	CCONJ
ejpam-5908	213	13	(	(	PUNCT
ejpam-5908	213	14	24	24	NUM
ejpam-5908	213	15	)	)	PUNCT
ejpam-5908	213	16	are	be	AUX
ejpam-5908	213	17	equal	equal	ADJ
ejpam-5908	213	18	except	except	SCONJ
ejpam-5908	213	19	(	(	PUNCT
ejpam-5908	213	20	a	a	X
ejpam-5908	213	21	/	/	SYM
ejpam-5908	213	22	c	c	NOUN
ejpam-5908	213	23	,	,	PUNCT
ejpam-5908	213	24	γ	γ	X
ejpam-5908	213	25	/	/	SYM
ejpam-5908	213	26	a	a	NOUN
ejpam-5908	213	27	)	)	PUNCT
ejpam-5908	213	28	and	and	CCONJ
ejpam-5908	213	29	(	(	PUNCT
ejpam-5908	213	30	b	b	X
ejpam-5908	213	31	/	/	SYM
ejpam-5908	213	32	c	c	PROPN
ejpam-5908	213	33	,	,	PUNCT
ejpam-5908	213	34	γ	γ	PROPN
ejpam-5908	213	35	/	/	SYM
ejpam-5908	213	36	b	b	NOUN
ejpam-5908	213	37	)	)	PUNCT
ejpam-5908	213	38	.	.	PUNCT
ejpam-5908	214	1	hence	hence	ADV
ejpam-5908	214	2	,	,	PUNCT
ejpam-5908	214	3	(	(	PUNCT
ejpam-5908	214	4	a	a	X
ejpam-5908	214	5	/	/	SYM
ejpam-5908	214	6	c	c	NOUN
ejpam-5908	214	7	,	,	PUNCT
ejpam-5908	214	8	γ	γ	X
ejpam-5908	214	9	/	/	SYM
ejpam-5908	214	10	a	a	NOUN
ejpam-5908	214	11	)	)	PUNCT
ejpam-5908	214	12	∼	∼	NOUN
ejpam-5908	214	13	(	(	PUNCT
ejpam-5908	214	14	b	b	X
ejpam-5908	214	15	/	/	SYM
ejpam-5908	214	16	c	c	PROPN
ejpam-5908	214	17	,	,	PUNCT
ejpam-5908	214	18	γ	γ	PROPN
ejpam-5908	214	19	/	/	SYM
ejpam-5908	214	20	b	b	NOUN
ejpam-5908	214	21	)	)	PUNCT
ejpam-5908	214	22	and	and	CCONJ
ejpam-5908	214	23	so	so	ADV
ejpam-5908	214	24	(	(	PUNCT
ejpam-5908	214	25	γ2	γ2	ADJ
ejpam-5908	214	26	/	/	SYM
ejpam-5908	214	27	γ1	γ1	PROPN
ejpam-5908	214	28	,	,	PUNCT
ejpam-5908	214	29	·	·	PUNCT
ejpam-5908	214	30	·	·	PUNCT
ejpam-5908	214	31	·	·	PUNCT
ejpam-5908	214	32	,	,	PUNCT
ejpam-5908	214	33	γk	γk	NOUN
ejpam-5908	214	34	/	/	SYM
ejpam-5908	214	35	γ(k−1	γ(k−1	ADJ
ejpam-5908	214	36	)	)	PUNCT
ejpam-5908	214	37	)	)	PUNCT
ejpam-5908	214	38	∼	∼	NOUN
ejpam-5908	214	39	(	(	PUNCT
ejpam-5908	214	40	δ2	δ2	VERB
ejpam-5908	214	41	/	/	SYM
ejpam-5908	214	42	δ1	δ1	NOUN
ejpam-5908	214	43	,	,	PUNCT
ejpam-5908	214	44	·	·	PUNCT
ejpam-5908	214	45	·	·	PUNCT
ejpam-5908	214	46	·	·	PUNCT
ejpam-5908	214	47	,	,	PUNCT
ejpam-5908	214	48	δl	δl	PROPN
ejpam-5908	214	49	/	/	SYM
ejpam-5908	214	50	δ(l−1	δ(l−1	NOUN
ejpam-5908	214	51	)	)	PUNCT
ejpam-5908	214	52	)	)	PUNCT
ejpam-5908	214	53	.	.	PUNCT
ejpam-5908	215	1	4	4	X
ejpam-5908	215	2	.	.	X
ejpam-5908	215	3	conclusion	conclusion	NOUN
ejpam-5908	215	4	in	in	ADP
ejpam-5908	215	5	this	this	DET
ejpam-5908	215	6	paper	paper	NOUN
ejpam-5908	215	7	,	,	PUNCT
ejpam-5908	215	8	the	the	DET
ejpam-5908	215	9	notions	notion	NOUN
ejpam-5908	215	10	of	of	ADP
ejpam-5908	215	11	simple	simple	ADJ
ejpam-5908	215	12	ifgs	ifg	VERB
ejpam-5908	215	13	,	,	PUNCT
ejpam-5908	215	14	maximal	maximal	ADJ
ejpam-5908	215	15	normal	normal	ADJ
ejpam-5908	215	16	ifsgs	ifsg	NOUN
ejpam-5908	215	17	,	,	PUNCT
ejpam-5908	215	18	normal	normal	ADJ
ejpam-5908	215	19	series	series	NOUN
ejpam-5908	215	20	for	for	ADP
ejpam-5908	215	21	ifgs	ifgs	PROPN
ejpam-5908	215	22	,	,	PUNCT
ejpam-5908	215	23	and	and	CCONJ
ejpam-5908	215	24	composition	composition	NOUN
ejpam-5908	215	25	series	series	NOUN
ejpam-5908	215	26	for	for	ADP
ejpam-5908	215	27	ifgs	ifgs	PROPN
ejpam-5908	215	28	were	be	AUX
ejpam-5908	215	29	defined	define	VERB
ejpam-5908	215	30	and	and	CCONJ
ejpam-5908	215	31	described	describe	VERB
ejpam-5908	215	32	with	with	ADP
ejpam-5908	215	33	examples	example	NOUN
ejpam-5908	215	34	and	and	CCONJ
ejpam-5908	215	35	particular	particular	ADJ
ejpam-5908	215	36	results	result	NOUN
ejpam-5908	215	37	.	.	PUNCT
ejpam-5908	216	1	in	in	ADP
ejpam-5908	216	2	addition	addition	NOUN
ejpam-5908	216	3	,	,	PUNCT
ejpam-5908	216	4	it	it	PRON
ejpam-5908	216	5	was	be	AUX
ejpam-5908	216	6	verified	verify	VERB
ejpam-5908	216	7	that	that	SCONJ
ejpam-5908	216	8	every	every	DET
ejpam-5908	216	9	ifg	ifg	NOUN
ejpam-5908	216	10	of	of	ADP
ejpam-5908	216	11	a	a	DET
ejpam-5908	216	12	finite	finite	ADJ
ejpam-5908	216	13	group	group	NOUN
ejpam-5908	216	14	has	have	VERB
ejpam-5908	216	15	a	a	DET
ejpam-5908	216	16	composition	composition	NOUN
ejpam-5908	216	17	series	series	NOUN
ejpam-5908	216	18	.	.	PUNCT
ejpam-5908	217	1	finally	finally	ADV
ejpam-5908	217	2	,	,	PUNCT
ejpam-5908	217	3	the	the	DET
ejpam-5908	217	4	jordan	jordan	PROPN
ejpam-5908	217	5	-	-	PUNCT
ejpam-5908	217	6	hölder	hölder	PROPN
ejpam-5908	217	7	theorem	theorem	NOUN
ejpam-5908	217	8	was	be	AUX
ejpam-5908	217	9	discussed	discuss	VERB
ejpam-5908	217	10	in	in	ADP
ejpam-5908	217	11	ifs	ifs	PROPN
ejpam-5908	217	12	context	context	NOUN
ejpam-5908	217	13	,	,	PUNCT
ejpam-5908	217	14	and	and	CCONJ
ejpam-5908	217	15	it	it	PRON
ejpam-5908	217	16	was	be	AUX
ejpam-5908	217	17	proved	prove	VERB
ejpam-5908	217	18	that	that	SCONJ
ejpam-5908	217	19	any	any	DET
ejpam-5908	217	20	two	two	NUM
ejpam-5908	217	21	composition	composition	NOUN
ejpam-5908	217	22	series	series	NOUN
ejpam-5908	217	23	of	of	ADP
ejpam-5908	217	24	an	an	DET
ejpam-5908	217	25	ifg	ifg	NOUN
ejpam-5908	217	26	of	of	ADP
ejpam-5908	217	27	a	a	DET
ejpam-5908	217	28	finite	finite	ADJ
ejpam-5908	217	29	group	group	NOUN
ejpam-5908	217	30	are	be	AUX
ejpam-5908	217	31	equivalent	equivalent	ADJ
ejpam-5908	217	32	.	.	PUNCT
ejpam-5908	218	1	this	this	DET
ejpam-5908	218	2	explorations	exploration	NOUN
ejpam-5908	218	3	have	have	AUX
ejpam-5908	218	4	further	far	ADV
ejpam-5908	218	5	enrich	enrich	VERB
ejpam-5908	218	6	the	the	DET
ejpam-5908	218	7	study	study	NOUN
ejpam-5908	218	8	of	of	ADP
ejpam-5908	218	9	fuzzy	fuzzy	ADJ
ejpam-5908	218	10	algebra	algebra	NOUN
ejpam-5908	218	11	and	and	CCONJ
ejpam-5908	218	12	pave	pave	VERB
ejpam-5908	218	13	the	the	DET
ejpam-5908	218	14	way	way	NOUN
ejpam-5908	218	15	for	for	ADP
ejpam-5908	218	16	the	the	DET
ejpam-5908	218	17	study	study	NOUN
ejpam-5908	218	18	of	of	ADP
ejpam-5908	218	19	nilpotency	nilpotency	NOUN
ejpam-5908	218	20	under	under	ADP
ejpam-5908	218	21	ifgs	ifgs	PROPN
ejpam-5908	218	22	.	.	PUNCT
ejpam-5908	219	1	in	in	ADP
ejpam-5908	219	2	addition	addition	NOUN
ejpam-5908	219	3	,	,	PUNCT
ejpam-5908	219	4	this	this	DET
ejpam-5908	219	5	work	work	NOUN
ejpam-5908	219	6	can	can	AUX
ejpam-5908	219	7	be	be	AUX
ejpam-5908	219	8	extended	extend	VERB
ejpam-5908	219	9	to	to	ADP
ejpam-5908	219	10	other	other	ADJ
ejpam-5908	219	11	variants	variant	NOUN
ejpam-5908	219	12	of	of	ADP
ejpam-5908	219	13	fst	fst	NOUN
ejpam-5908	219	14	to	to	PART
ejpam-5908	219	15	enhance	enhance	VERB
ejpam-5908	219	16	algebra	algebra	NOUN
ejpam-5908	219	17	under	under	ADP
ejpam-5908	219	18	uncertain	uncertain	ADJ
ejpam-5908	219	19	environments	environment	NOUN
ejpam-5908	219	20	.	.	PUNCT
ejpam-5908	220	1	acknowledgements	acknowledgement	NOUN
ejpam-5908	220	2	we	we	PRON
ejpam-5908	220	3	greatly	greatly	ADV
ejpam-5908	220	4	appreciate	appreciate	VERB
ejpam-5908	220	5	the	the	DET
ejpam-5908	220	6	editor	editor	NOUN
ejpam-5908	220	7	-	-	PUNCT
ejpam-5908	220	8	in	in	ADP
ejpam-5908	220	9	-	-	PUNCT
ejpam-5908	220	10	chiefs	chief	NOUN
ejpam-5908	220	11	and	and	CCONJ
ejpam-5908	220	12	the	the	DET
ejpam-5908	220	13	reviewers	reviewer	NOUN
ejpam-5908	220	14	for	for	ADP
ejpam-5908	220	15	their	their	PRON
ejpam-5908	220	16	valuable	valuable	ADJ
ejpam-5908	220	17	comments	comment	NOUN
ejpam-5908	220	18	,	,	PUNCT
ejpam-5908	220	19	which	which	PRON
ejpam-5908	220	20	have	have	AUX
ejpam-5908	220	21	improved	improve	VERB
ejpam-5908	220	22	the	the	DET
ejpam-5908	220	23	quality	quality	NOUN
ejpam-5908	220	24	of	of	ADP
ejpam-5908	220	25	the	the	DET
ejpam-5908	220	26	work	work	NOUN
ejpam-5908	220	27	.	.	PUNCT
ejpam-5908	221	1	p.	p.	NOUN
ejpam-5908	221	2	a.	a.	NOUN
ejpam-5908	221	3	ejegwa	ejegwa	PROPN
ejpam-5908	221	4	,	,	PUNCT
ejpam-5908	221	5	n.	n.	PROPN
ejpam-5908	221	6	kausar	kausar	PROPN
ejpam-5908	221	7	,	,	PUNCT
ejpam-5908	221	8	t.	t.	NOUN
ejpam-5908	221	9	cagin	cagin	PROPN
ejpam-5908	221	10	/	/	SYM
ejpam-5908	221	11	eur	eur	PROPN
ejpam-5908	221	12	.	.	PUNCT
ejpam-5908	222	1	j.	j.	PROPN
ejpam-5908	222	2	pure	pure	PROPN
ejpam-5908	222	3	appl	appl	PROPN
ejpam-5908	222	4	.	.	PROPN
ejpam-5908	222	5	math	math	PROPN
ejpam-5908	222	6	,	,	PUNCT
ejpam-5908	222	7	18	18	NUM
ejpam-5908	222	8	(	(	PUNCT
ejpam-5908	222	9	2	2	NUM
ejpam-5908	222	10	)	)	PUNCT
ejpam-5908	222	11	(	(	PUNCT
ejpam-5908	222	12	2025	2025	NUM
ejpam-5908	222	13	)	)	PUNCT
ejpam-5908	222	14	,	,	PUNCT
ejpam-5908	222	15	5908	5908	NUM
ejpam-5908	222	16	10	10	NUM
ejpam-5908	222	17	of	of	ADP
ejpam-5908	222	18	11	11	NUM
ejpam-5908	222	19	references	reference	NOUN
ejpam-5908	222	20	[	[	X
ejpam-5908	222	21	1	1	NUM
ejpam-5908	222	22	]	]	PUNCT
ejpam-5908	222	23	l	l	NOUN
ejpam-5908	222	24	a	a	DET
ejpam-5908	222	25	zadeh	zadeh	PROPN
ejpam-5908	222	26	.	.	PUNCT
ejpam-5908	222	27	fuzzy	fuzzy	ADJ
ejpam-5908	222	28	sets	set	NOUN
ejpam-5908	222	29	.	.	PUNCT
ejpam-5908	223	1	information	information	NOUN
ejpam-5908	223	2	and	and	CCONJ
ejpam-5908	223	3	control	control	NOUN
ejpam-5908	223	4	,	,	PUNCT
ejpam-5908	223	5	8(3):338–353	8(3):338–353	NUM
ejpam-5908	223	6	,	,	PUNCT
ejpam-5908	223	7	1965	1965	NUM
ejpam-5908	223	8	.	.	PUNCT
ejpam-5908	224	1	[	[	X
ejpam-5908	224	2	2	2	X
ejpam-5908	224	3	]	]	PUNCT
ejpam-5908	224	4	a	a	DET
ejpam-5908	224	5	rosenfeld	rosenfeld	PROPN
ejpam-5908	224	6	.	.	PUNCT
ejpam-5908	225	1	fuzzy	fuzzy	ADJ
ejpam-5908	225	2	groups	group	NOUN
ejpam-5908	225	3	.	.	PUNCT
ejpam-5908	226	1	journal	journal	PROPN
ejpam-5908	226	2	of	of	ADP
ejpam-5908	226	3	mathematical	mathematical	ADJ
ejpam-5908	226	4	analysis	analysis	NOUN
ejpam-5908	226	5	and	and	CCONJ
ejpam-5908	226	6	applications	application	NOUN
ejpam-5908	226	7	,	,	PUNCT
ejpam-5908	226	8	35(3):512–517	35(3):512–517	PROPN
ejpam-5908	226	9	,	,	PUNCT
ejpam-5908	226	10	1971	1971	NUM
ejpam-5908	226	11	.	.	PUNCT
ejpam-5908	227	1	[	[	X
ejpam-5908	227	2	3	3	X
ejpam-5908	227	3	]	]	X
ejpam-5908	227	4	j	j	PROPN
ejpam-5908	227	5	m	m	PROPN
ejpam-5908	227	6	anthony	anthony	PROPN
ejpam-5908	227	7	and	and	CCONJ
ejpam-5908	227	8	h	h	PROPN
ejpam-5908	227	9	sherwood	sherwood	PROPN
ejpam-5908	227	10	.	.	PUNCT
ejpam-5908	228	1	a	a	DET
ejpam-5908	228	2	characterization	characterization	NOUN
ejpam-5908	228	3	of	of	ADP
ejpam-5908	228	4	fuzzy	fuzzy	ADJ
ejpam-5908	228	5	subgroups	subgroup	NOUN
ejpam-5908	228	6	.	.	PUNCT
ejpam-5908	229	1	fuzzy	fuzzy	ADJ
ejpam-5908	229	2	sets	set	NOUN
ejpam-5908	229	3	and	and	CCONJ
ejpam-5908	229	4	systems	system	NOUN
ejpam-5908	229	5	,	,	PUNCT
ejpam-5908	229	6	7:297–305	7:297–305	NOUN
ejpam-5908	229	7	,	,	PUNCT
ejpam-5908	229	8	1982	1982	NUM
ejpam-5908	229	9	.	.	PUNCT
ejpam-5908	230	1	[	[	X
ejpam-5908	230	2	4	4	X
ejpam-5908	230	3	]	]	X
ejpam-5908	230	4	p	p	X
ejpam-5908	230	5	a	a	DET
ejpam-5908	230	6	ejegwa	ejegwa	NOUN
ejpam-5908	230	7	and	and	CCONJ
ejpam-5908	230	8	j	j	PROPN
ejpam-5908	230	9	a	a	DET
ejpam-5908	230	10	otuwe	otuwe	NOUN
ejpam-5908	230	11	.	.	PUNCT
ejpam-5908	231	1	frattini	frattini	VERB
ejpam-5908	231	2	fuzzy	fuzzy	ADJ
ejpam-5908	231	3	subgroups	subgroup	NOUN
ejpam-5908	231	4	of	of	ADP
ejpam-5908	231	5	fuzzy	fuzzy	ADJ
ejpam-5908	231	6	groups	group	NOUN
ejpam-5908	231	7	.	.	PUNCT
ejpam-5908	232	1	journal	journal	NOUN
ejpam-5908	232	2	of	of	ADP
ejpam-5908	232	3	universal	universal	ADJ
ejpam-5908	232	4	mathematics	mathematic	NOUN
ejpam-5908	232	5	,	,	PUNCT
ejpam-5908	232	6	2(2):175–182	2(2):175–182	NOUN
ejpam-5908	232	7	,	,	PUNCT
ejpam-5908	232	8	2019	2019	NUM
ejpam-5908	232	9	.	.	PUNCT
ejpam-5908	233	1	[	[	X
ejpam-5908	233	2	5	5	X
ejpam-5908	233	3	]	]	X
ejpam-5908	233	4	k	k	PROPN
ejpam-5908	233	5	t	t	PROPN
ejpam-5908	233	6	atanassov	atanassov	PROPN
ejpam-5908	233	7	.	.	PUNCT
ejpam-5908	234	1	intuitionistic	intuitionistic	ADJ
ejpam-5908	234	2	fuzzy	fuzzy	ADJ
ejpam-5908	234	3	sets	set	NOUN
ejpam-5908	234	4	.	.	PUNCT
ejpam-5908	235	1	fuzzy	fuzzy	ADJ
ejpam-5908	235	2	sets	set	NOUN
ejpam-5908	235	3	and	and	CCONJ
ejpam-5908	235	4	systems	system	NOUN
ejpam-5908	235	5	,	,	PUNCT
ejpam-5908	235	6	20(1):87–96	20(1):87–96	NUM
ejpam-5908	235	7	,	,	PUNCT
ejpam-5908	235	8	1986	1986	NUM
ejpam-5908	235	9	.	.	PUNCT
ejpam-5908	236	1	[	[	X
ejpam-5908	236	2	6	6	NUM
ejpam-5908	236	3	]	]	PUNCT
ejpam-5908	236	4	k	k	PROPN
ejpam-5908	236	5	t	t	PROPN
ejpam-5908	236	6	atanassov	atanassov	PROPN
ejpam-5908	236	7	.	.	PUNCT
ejpam-5908	237	1	new	new	ADJ
ejpam-5908	237	2	operations	operation	NOUN
ejpam-5908	237	3	defined	define	VERB
ejpam-5908	237	4	over	over	ADP
ejpam-5908	237	5	the	the	DET
ejpam-5908	237	6	intuitionistic	intuitionistic	ADJ
ejpam-5908	237	7	fuzzy	fuzzy	ADJ
ejpam-5908	237	8	sets	set	NOUN
ejpam-5908	237	9	.	.	PUNCT
ejpam-5908	238	1	fuzzy	fuzzy	ADJ
ejpam-5908	238	2	sets	set	NOUN
ejpam-5908	238	3	and	and	CCONJ
ejpam-5908	238	4	systems	system	NOUN
ejpam-5908	238	5	,	,	PUNCT
ejpam-5908	238	6	61:137–142	61:137–142	NUM
ejpam-5908	238	7	,	,	PUNCT
ejpam-5908	238	8	1994	1994	NUM
ejpam-5908	238	9	.	.	PUNCT
ejpam-5908	239	1	[	[	X
ejpam-5908	239	2	7	7	X
ejpam-5908	239	3	]	]	X
ejpam-5908	239	4	p	p	X
ejpam-5908	239	5	a	a	DET
ejpam-5908	239	6	ejegwa	ejegwa	NOUN
ejpam-5908	239	7	,	,	PUNCT
ejpam-5908	239	8	s	s	PART
ejpam-5908	239	9	o	o	NOUN
ejpam-5908	239	10	akowe	akowe	NOUN
ejpam-5908	239	11	,	,	PUNCT
ejpam-5908	239	12	p	p	NOUN
ejpam-5908	239	13	m	m	NOUN
ejpam-5908	239	14	otene	otene	ADJ
ejpam-5908	239	15	,	,	PUNCT
ejpam-5908	239	16	and	and	CCONJ
ejpam-5908	239	17	j	j	PROPN
ejpam-5908	239	18	m	m	PROPN
ejpam-5908	239	19	ikyule	ikyule	PROPN
ejpam-5908	239	20	.	.	PUNCT
ejpam-5908	240	1	an	an	DET
ejpam-5908	240	2	overview	overview	NOUN
ejpam-5908	240	3	on	on	ADP
ejpam-5908	240	4	intuitionistic	intuitionistic	ADJ
ejpam-5908	240	5	fuzzy	fuzzy	ADJ
ejpam-5908	240	6	sets	set	NOUN
ejpam-5908	240	7	.	.	PUNCT
ejpam-5908	241	1	international	international	ADJ
ejpam-5908	241	2	journal	journal	NOUN
ejpam-5908	241	3	of	of	ADP
ejpam-5908	241	4	scientific	scientific	ADJ
ejpam-5908	241	5	and	and	CCONJ
ejpam-5908	241	6	technological	technological	ADJ
ejpam-5908	241	7	research	research	NOUN
ejpam-5908	241	8	,	,	PUNCT
ejpam-5908	241	9	3(3):142	3(3):142	NUM
ejpam-5908	241	10	–	–	PUNCT
ejpam-5908	241	11	145	145	NUM
ejpam-5908	241	12	,	,	PUNCT
ejpam-5908	241	13	2014	2014	NUM
ejpam-5908	241	14	.	.	PUNCT
ejpam-5908	242	1	[	[	X
ejpam-5908	242	2	8	8	NUM
ejpam-5908	242	3	]	]	X
ejpam-5908	242	4	r	r	NOUN
ejpam-5908	242	5	biswas	biswas	PROPN
ejpam-5908	242	6	.	.	PUNCT
ejpam-5908	243	1	intuitionistic	intuitionistic	ADJ
ejpam-5908	243	2	fuzzy	fuzzy	ADJ
ejpam-5908	243	3	subgroups	subgroup	NOUN
ejpam-5908	243	4	.	.	PUNCT
ejpam-5908	244	1	mathematical	mathematical	ADJ
ejpam-5908	244	2	forum	forum	PROPN
ejpam-5908	244	3	,	,	PUNCT
ejpam-5908	244	4	10:37–46	10:37–46	NUM
ejpam-5908	244	5	,	,	PUNCT
ejpam-5908	244	6	1989	1989	NUM
ejpam-5908	244	7	.	.	PUNCT
ejpam-5908	245	1	[	[	X
ejpam-5908	245	2	9	9	NUM
ejpam-5908	245	3	]	]	X
ejpam-5908	245	4	r	r	NOUN
ejpam-5908	245	5	biswas	biswas	PROPN
ejpam-5908	245	6	.	.	PUNCT
ejpam-5908	246	1	intuitionistic	intuitionistic	ADJ
ejpam-5908	246	2	fuzzy	fuzzy	ADJ
ejpam-5908	246	3	subgroups	subgroup	NOUN
ejpam-5908	246	4	.	.	PUNCT
ejpam-5908	247	1	notes	note	NOUN
ejpam-5908	247	2	on	on	ADP
ejpam-5908	247	3	intuitionistic	intuitionistic	ADJ
ejpam-5908	247	4	fuzzy	fuzzy	ADJ
ejpam-5908	247	5	sets	set	NOUN
ejpam-5908	247	6	,	,	PUNCT
ejpam-5908	247	7	2:53–60	2:53–60	NUM
ejpam-5908	247	8	,	,	PUNCT
ejpam-5908	247	9	1997	1997	NUM
ejpam-5908	247	10	.	.	PUNCT
ejpam-5908	248	1	[	[	X
ejpam-5908	248	2	10	10	NUM
ejpam-5908	248	3	]	]	PUNCT
ejpam-5908	248	4	t	t	PROPN
ejpam-5908	248	5	c	c	PROPN
ejpam-5908	248	6	ahn	ahn	PROPN
ejpam-5908	248	7	,	,	PUNCT
ejpam-5908	248	8	k	k	PROPN
ejpam-5908	248	9	w	w	PROPN
ejpam-5908	248	10	jang	jang	PROPN
ejpam-5908	248	11	,	,	PUNCT
ejpam-5908	248	12	s	s	PROPN
ejpam-5908	248	13	b	b	PROPN
ejpam-5908	248	14	roh	roh	PROPN
ejpam-5908	248	15	,	,	PUNCT
ejpam-5908	248	16	and	and	CCONJ
ejpam-5908	248	17	k	k	PROPN
ejpam-5908	248	18	hur	hur	PROPN
ejpam-5908	248	19	.	.	PUNCT
ejpam-5908	249	1	a	a	DET
ejpam-5908	249	2	note	note	NOUN
ejpam-5908	249	3	on	on	ADP
ejpam-5908	249	4	intuitionistic	intuitionistic	ADJ
ejpam-5908	249	5	fuzzy	fuzzy	ADJ
ejpam-5908	249	6	subgroups	subgroup	NOUN
ejpam-5908	249	7	.	.	PUNCT
ejpam-5908	250	1	proceedings	proceeding	NOUN
ejpam-5908	250	2	of	of	ADP
ejpam-5908	250	3	kfis	kfis	PROPN
ejpam-5908	250	4	autumn	autumn	NOUN
ejpam-5908	250	5	conference	conference	NOUN
ejpam-5908	250	6	2005	2005	NUM
ejpam-5908	250	7	,	,	PUNCT
ejpam-5908	250	8	15(2):496–499	15(2):496–499	NUM
ejpam-5908	250	9	,	,	PUNCT
ejpam-5908	250	10	2005	2005	NUM
ejpam-5908	250	11	.	.	PUNCT
ejpam-5908	251	1	[	[	X
ejpam-5908	251	2	11	11	NUM
ejpam-5908	251	3	]	]	PUNCT
ejpam-5908	251	4	t	t	PROPN
ejpam-5908	251	5	c	c	PROPN
ejpam-5908	251	6	ahn	ahn	PROPN
ejpam-5908	251	7	,	,	PUNCT
ejpam-5908	251	8	k	k	PROPN
ejpam-5908	251	9	hur	hur	PROPN
ejpam-5908	251	10	,	,	PUNCT
ejpam-5908	251	11	k	k	PROPN
ejpam-5908	251	12	w	w	PROPN
ejpam-5908	251	13	jang	jang	PROPN
ejpam-5908	251	14	,	,	PUNCT
ejpam-5908	251	15	and	and	CCONJ
ejpam-5908	251	16	s	s	PROPN
ejpam-5908	251	17	b	b	PROPN
ejpam-5908	251	18	roh	roh	PROPN
ejpam-5908	251	19	.	.	PUNCT
ejpam-5908	252	1	intuitionistic	intuitionistic	ADJ
ejpam-5908	252	2	fuzzy	fuzzy	ADJ
ejpam-5908	252	3	subgroups	subgroup	NOUN
ejpam-5908	252	4	.	.	PUNCT
ejpam-5908	253	1	honam	honam	PROPN
ejpam-5908	253	2	mathematical	mathematical	PROPN
ejpam-5908	253	3	journal	journal	PROPN
ejpam-5908	253	4	,	,	PUNCT
ejpam-5908	253	5	28(1):31–44	28(1):31–44	NUM
ejpam-5908	253	6	,	,	PUNCT
ejpam-5908	253	7	2006	2006	NUM
ejpam-5908	253	8	.	.	PUNCT
ejpam-5908	254	1	[	[	X
ejpam-5908	254	2	12	12	NUM
ejpam-5908	254	3	]	]	X
ejpam-5908	254	4	m	m	VERB
ejpam-5908	254	5	fathi	fathi	PROPN
ejpam-5908	254	6	and	and	CCONJ
ejpam-5908	254	7	a	a	DET
ejpam-5908	254	8	r	r	NOUN
ejpam-5908	254	9	salleh	salleh	NOUN
ejpam-5908	254	10	.	.	PUNCT
ejpam-5908	255	1	intuitionistic	intuitionistic	ADJ
ejpam-5908	255	2	fuzzy	fuzzy	ADJ
ejpam-5908	255	3	groups	group	NOUN
ejpam-5908	255	4	.	.	PUNCT
ejpam-5908	256	1	asian	asian	ADJ
ejpam-5908	256	2	journal	journal	PROPN
ejpam-5908	256	3	of	of	ADP
ejpam-5908	256	4	algebra	algebra	PROPN
ejpam-5908	256	5	,	,	PUNCT
ejpam-5908	256	6	2:1–10	2:1–10	NUM
ejpam-5908	256	7	,	,	PUNCT
ejpam-5908	256	8	2009	2009	NUM
ejpam-5908	256	9	.	.	PUNCT
ejpam-5908	257	1	[	[	X
ejpam-5908	257	2	13	13	NUM
ejpam-5908	257	3	]	]	PUNCT
ejpam-5908	257	4	x	x	SYM
ejpam-5908	257	5	h	h	PROPN
ejpam-5908	257	6	yuan	yuan	NOUN
ejpam-5908	257	7	,	,	PUNCT
ejpam-5908	257	8	h	h	NOUN
ejpam-5908	257	9	x	x	X
ejpam-5908	257	10	li	li	PROPN
ejpam-5908	257	11	,	,	PUNCT
ejpam-5908	257	12	and	and	CCONJ
ejpam-5908	257	13	e	e	NOUN
ejpam-5908	257	14	s	s	PROPN
ejpam-5908	257	15	lee	lee	PROPN
ejpam-5908	257	16	.	.	PROPN
ejpam-5908	258	1	on	on	ADP
ejpam-5908	258	2	the	the	DET
ejpam-5908	258	3	definition	definition	NOUN
ejpam-5908	258	4	of	of	ADP
ejpam-5908	258	5	the	the	DET
ejpam-5908	258	6	intuitionistic	intuitionistic	ADJ
ejpam-5908	258	7	fuzzy	fuzzy	ADJ
ejpam-5908	258	8	subgroups	subgroup	NOUN
ejpam-5908	258	9	.	.	PUNCT
ejpam-5908	259	1	computers	computer	NOUN
ejpam-5908	259	2	and	and	CCONJ
ejpam-5908	259	3	mathematics	mathematic	NOUN
ejpam-5908	259	4	with	with	ADP
ejpam-5908	259	5	applications	application	NOUN
ejpam-5908	259	6	,	,	PUNCT
ejpam-5908	259	7	59(9):3117–3129	59(9):3117–3129	NUM
ejpam-5908	259	8	,	,	PUNCT
ejpam-5908	259	9	2010	2010	NUM
ejpam-5908	259	10	.	.	PUNCT
ejpam-5908	260	1	[	[	X
ejpam-5908	260	2	14	14	NUM
ejpam-5908	260	3	]	]	X
ejpam-5908	260	4	m	m	VERB
ejpam-5908	260	5	bal	bal	ADJ
ejpam-5908	260	6	,	,	PUNCT
ejpam-5908	260	7	k	k	PROPN
ejpam-5908	260	8	d	d	PROPN
ejpam-5908	260	9	ahmad	ahmad	PROPN
ejpam-5908	260	10	,	,	PUNCT
ejpam-5908	260	11	a	a	DET
ejpam-5908	260	12	a	a	DET
ejpam-5908	260	13	hajjari	hajjari	NOUN
ejpam-5908	260	14	,	,	PUNCT
ejpam-5908	260	15	and	and	CCONJ
ejpam-5908	260	16	r	r	PROPN
ejpam-5908	260	17	ali	ali	PROPN
ejpam-5908	260	18	.	.	PUNCT
ejpam-5908	261	1	a	a	DET
ejpam-5908	261	2	short	short	ADJ
ejpam-5908	261	3	note	note	NOUN
ejpam-5908	261	4	on	on	ADP
ejpam-5908	261	5	the	the	DET
ejpam-5908	261	6	kernel	kernel	PROPN
ejpam-5908	261	7	subgroup	subgroup	NOUN
ejpam-5908	261	8	of	of	ADP
ejpam-5908	261	9	intuitionistic	intuitionistic	ADJ
ejpam-5908	261	10	fuzzy	fuzzy	ADJ
ejpam-5908	261	11	groups	group	NOUN
ejpam-5908	261	12	.	.	PUNCT
ejpam-5908	262	1	journal	journal	PROPN
ejpam-5908	262	2	of	of	ADP
ejpam-5908	262	3	neutrosophic	neutrosophic	ADJ
ejpam-5908	262	4	and	and	CCONJ
ejpam-5908	262	5	fuzzy	fuzzy	ADJ
ejpam-5908	262	6	systems	system	NOUN
ejpam-5908	262	7	,	,	PUNCT
ejpam-5908	262	8	2(1):14–20	2(1):14–20	NUM
ejpam-5908	262	9	,	,	PUNCT
ejpam-5908	262	10	2022	2022	NUM
ejpam-5908	262	11	.	.	PUNCT
ejpam-5908	263	1	[	[	X
ejpam-5908	263	2	15	15	NUM
ejpam-5908	263	3	]	]	X
ejpam-5908	263	4	p	p	PROPN
ejpam-5908	263	5	k	k	PROPN
ejpam-5908	263	6	sharma	sharma	PROPN
ejpam-5908	263	7	.	.	PUNCT
ejpam-5908	264	1	on	on	ADP
ejpam-5908	264	2	the	the	DET
ejpam-5908	264	3	direct	direct	ADJ
ejpam-5908	264	4	product	product	NOUN
ejpam-5908	264	5	of	of	ADP
ejpam-5908	264	6	intuitionistic	intuitionistic	ADJ
ejpam-5908	264	7	fuzzy	fuzzy	ADJ
ejpam-5908	264	8	subgroups	subgroup	NOUN
ejpam-5908	264	9	.	.	PUNCT
ejpam-5908	265	1	international	international	ADJ
ejpam-5908	265	2	mathematical	mathematical	PROPN
ejpam-5908	265	3	forum	forum	PROPN
ejpam-5908	265	4	,	,	PUNCT
ejpam-5908	265	5	7(211):523–530	7(211):523–530	NOUN
ejpam-5908	265	6	,	,	PUNCT
ejpam-5908	265	7	2012	2012	NUM
ejpam-5908	265	8	.	.	PUNCT
ejpam-5908	266	1	[	[	X
ejpam-5908	266	2	16	16	NUM
ejpam-5908	266	3	]	]	X
ejpam-5908	266	4	p	p	PROPN
ejpam-5908	266	5	k	k	PROPN
ejpam-5908	266	6	sharma	sharma	PROPN
ejpam-5908	266	7	.	.	PUNCT
ejpam-5908	267	1	homomorphism	homomorphism	NOUN
ejpam-5908	267	2	of	of	ADP
ejpam-5908	267	3	intuitionistic	intuitionistic	ADJ
ejpam-5908	267	4	fuzzy	fuzzy	ADJ
ejpam-5908	267	5	groups	group	NOUN
ejpam-5908	267	6	.	.	PUNCT
ejpam-5908	268	1	international	international	ADJ
ejpam-5908	268	2	mathematical	mathematical	PROPN
ejpam-5908	268	3	forum	forum	PROPN
ejpam-5908	268	4	,	,	PUNCT
ejpam-5908	268	5	6(64):3169–3178	6(64):3169–3178	NUM
ejpam-5908	268	6	,	,	PUNCT
ejpam-5908	268	7	2011	2011	NUM
ejpam-5908	268	8	.	.	PUNCT
ejpam-5908	269	1	[	[	X
ejpam-5908	269	2	17	17	NUM
ejpam-5908	269	3	]	]	X
ejpam-5908	269	4	p	p	PROPN
ejpam-5908	269	5	k	k	PROPN
ejpam-5908	269	6	sharma	sharma	PROPN
ejpam-5908	269	7	.	.	PUNCT
ejpam-5908	270	1	(	(	PUNCT
ejpam-5908	270	2	α	α	NOUN
ejpam-5908	270	3	,	,	PUNCT
ejpam-5908	270	4	β)-cut	β)-cut	VERB
ejpam-5908	270	5	of	of	ADP
ejpam-5908	270	6	intuitionistic	intuitionistic	ADJ
ejpam-5908	270	7	fuzzy	fuzzy	ADJ
ejpam-5908	270	8	groups	group	NOUN
ejpam-5908	270	9	.	.	PUNCT
ejpam-5908	271	1	international	international	ADJ
ejpam-5908	271	2	mathematical	mathematical	PROPN
ejpam-5908	271	3	forum	forum	PROPN
ejpam-5908	271	4	,	,	PUNCT
ejpam-5908	271	5	6(53):2605–2614	6(53):2605–2614	NUM
ejpam-5908	271	6	,	,	PUNCT
ejpam-5908	271	7	2011	2011	NUM
ejpam-5908	271	8	.	.	PUNCT
ejpam-5908	272	1	[	[	X
ejpam-5908	272	2	18	18	NUM
ejpam-5908	272	3	]	]	X
ejpam-5908	272	4	p	p	PROPN
ejpam-5908	272	5	k	k	PROPN
ejpam-5908	272	6	sharma	sharma	PROPN
ejpam-5908	272	7	.	.	PUNCT
ejpam-5908	273	1	t	t	PROPN
ejpam-5908	273	2	-	-	PUNCT
ejpam-5908	273	3	intuitionistic	intuitionistic	ADJ
ejpam-5908	273	4	fuzzy	fuzzy	ADJ
ejpam-5908	273	5	subgroups	subgroup	NOUN
ejpam-5908	273	6	.	.	PUNCT
ejpam-5908	274	1	international	international	ADJ
ejpam-5908	274	2	journal	journal	NOUN
ejpam-5908	274	3	of	of	ADP
ejpam-5908	274	4	fuzzy	fuzzy	ADJ
ejpam-5908	274	5	mathematics	mathematic	NOUN
ejpam-5908	274	6	and	and	CCONJ
ejpam-5908	274	7	systems	system	NOUN
ejpam-5908	274	8	,	,	PUNCT
ejpam-5908	274	9	3:233–243	3:233–243	NOUN
ejpam-5908	274	10	,	,	PUNCT
ejpam-5908	274	11	2012	2012	NUM
ejpam-5908	274	12	.	.	PUNCT
ejpam-5908	275	1	[	[	X
ejpam-5908	275	2	19	19	NUM
ejpam-5908	275	3	]	]	X
ejpam-5908	275	4	l	l	PROPN
ejpam-5908	275	5	latif	latif	PROPN
ejpam-5908	275	6	,	,	PUNCT
ejpam-5908	275	7	u	u	NOUN
ejpam-5908	275	8	shuaib	shuaib	NOUN
ejpam-5908	275	9	,	,	PUNCT
ejpam-5908	275	10	h	h	NOUN
ejpam-5908	275	11	alolaiyan	alolaiyan	ADJ
ejpam-5908	275	12	,	,	PUNCT
ejpam-5908	275	13	and	and	CCONJ
ejpam-5908	275	14	a	a	DET
ejpam-5908	275	15	razaq	razaq	NOUN
ejpam-5908	275	16	.	.	PUNCT
ejpam-5908	276	1	on	on	ADP
ejpam-5908	276	2	fundamental	fundamental	ADJ
ejpam-5908	276	3	theorems	theorem	NOUN
ejpam-5908	276	4	of	of	ADP
ejpam-5908	276	5	tintuitionistic	tintuitionistic	ADJ
ejpam-5908	276	6	fuzzy	fuzzy	ADJ
ejpam-5908	276	7	isomorphism	isomorphism	NOUN
ejpam-5908	276	8	of	of	ADP
ejpam-5908	276	9	t	t	PROPN
ejpam-5908	276	10	-	-	PUNCT
ejpam-5908	276	11	intuitionistic	intuitionistic	ADJ
ejpam-5908	276	12	fuzzy	fuzzy	ADJ
ejpam-5908	276	13	subgroups	subgroup	NOUN
ejpam-5908	276	14	.	.	PUNCT
ejpam-5908	277	1	ieee	ieee	NOUN
ejpam-5908	277	2	access	access	NOUN
ejpam-5908	277	3	,	,	PUNCT
ejpam-5908	277	4	6:74547–74556	6:74547–74556	NUM
ejpam-5908	277	5	,	,	PUNCT
ejpam-5908	277	6	2018	2018	NUM
ejpam-5908	277	7	.	.	PUNCT
ejpam-5908	278	1	[	[	X
ejpam-5908	278	2	20	20	NUM
ejpam-5908	278	3	]	]	X
ejpam-5908	278	4	h	h	NOUN
ejpam-5908	278	5	alolaiyan	alolaiyan	ADJ
ejpam-5908	278	6	,	,	PUNCT
ejpam-5908	278	7	u	u	NOUN
ejpam-5908	278	8	shuaib	shuaib	NOUN
ejpam-5908	278	9	,	,	PUNCT
ejpam-5908	278	10	l	l	PROPN
ejpam-5908	278	11	latif	latif	PROPN
ejpam-5908	278	12	,	,	PUNCT
ejpam-5908	278	13	and	and	CCONJ
ejpam-5908	278	14	a	a	DET
ejpam-5908	278	15	razaq	razaq	NOUN
ejpam-5908	278	16	.	.	PUNCT
ejpam-5908	279	1	t	t	NOUN
ejpam-5908	279	2	-	-	PUNCT
ejpam-5908	279	3	intuitionistic	intuitionistic	ADJ
ejpam-5908	279	4	fuzzification	fuzzification	NOUN
ejpam-5908	279	5	of	of	ADP
ejpam-5908	279	6	lagrange	lagrange	PROPN
ejpam-5908	279	7	’s	’s	PART
ejpam-5908	279	8	theorem	theorem	NOUN
ejpam-5908	279	9	of	of	ADP
ejpam-5908	279	10	t	t	PROPN
ejpam-5908	279	11	-	-	PUNCT
ejpam-5908	279	12	intuitionistic	intuitionistic	ADJ
ejpam-5908	279	13	fuzzy	fuzzy	ADJ
ejpam-5908	279	14	subgroup	subgroup	NOUN
ejpam-5908	279	15	.	.	PUNCT
ejpam-5908	280	1	ieee	ieee	NOUN
ejpam-5908	280	2	access	access	NOUN
ejpam-5908	280	3	,	,	PUNCT
ejpam-5908	280	4	7:158419–158426	7:158419–158426	NUM
ejpam-5908	280	5	,	,	PUNCT
ejpam-5908	280	6	2019	2019	NUM
ejpam-5908	280	7	.	.	PUNCT
ejpam-5908	281	1	p.	p.	NOUN
ejpam-5908	281	2	a.	a.	NOUN
ejpam-5908	281	3	ejegwa	ejegwa	PROPN
ejpam-5908	281	4	,	,	PUNCT
ejpam-5908	281	5	n.	n.	PROPN
ejpam-5908	281	6	kausar	kausar	PROPN
ejpam-5908	281	7	,	,	PUNCT
ejpam-5908	281	8	t.	t.	NOUN
ejpam-5908	281	9	cagin	cagin	PROPN
ejpam-5908	281	10	/	/	SYM
ejpam-5908	281	11	eur	eur	PROPN
ejpam-5908	281	12	.	.	PUNCT
ejpam-5908	282	1	j.	j.	PROPN
ejpam-5908	282	2	pure	pure	PROPN
ejpam-5908	282	3	appl	appl	PROPN
ejpam-5908	282	4	.	.	PROPN
ejpam-5908	282	5	math	math	PROPN
ejpam-5908	282	6	,	,	PUNCT
ejpam-5908	282	7	18	18	NUM
ejpam-5908	282	8	(	(	PUNCT
ejpam-5908	282	9	2	2	NUM
ejpam-5908	282	10	)	)	PUNCT
ejpam-5908	282	11	(	(	PUNCT
ejpam-5908	282	12	2025	2025	NUM
ejpam-5908	282	13	)	)	PUNCT
ejpam-5908	282	14	,	,	PUNCT
ejpam-5908	282	15	5908	5908	NUM
ejpam-5908	282	16	11	11	NUM
ejpam-5908	282	17	of	of	ADP
ejpam-5908	282	18	11	11	NUM
ejpam-5908	282	19	[	[	X
ejpam-5908	282	20	21	21	NUM
ejpam-5908	282	21	]	]	X
ejpam-5908	282	22	u	u	PROPN
ejpam-5908	282	23	shuaib	shuaib	NOUN
ejpam-5908	282	24	,	,	PUNCT
ejpam-5908	282	25	m	m	PROPN
ejpam-5908	282	26	amin	amin	NOUN
ejpam-5908	282	27	,	,	PUNCT
ejpam-5908	282	28	s	s	PART
ejpam-5908	282	29	dilbar	dilbar	NOUN
ejpam-5908	282	30	,	,	PUNCT
ejpam-5908	282	31	and	and	CCONJ
ejpam-5908	282	32	f	f	PROPN
ejpam-5908	282	33	tahir	tahir	PROPN
ejpam-5908	282	34	.	.	PUNCT
ejpam-5908	283	1	on	on	ADP
ejpam-5908	283	2	algebraic	algebraic	ADJ
ejpam-5908	283	3	attributes	attribute	NOUN
ejpam-5908	283	4	of	of	ADP
ejpam-5908	283	5	∑	∑	ADV
ejpam-5908	283	6	-intuitionistic	-intuitionistic	ADJ
ejpam-5908	283	7	fuzzy	fuzzy	ADJ
ejpam-5908	283	8	subgroups	subgroup	NOUN
ejpam-5908	283	9	.	.	PUNCT
ejpam-5908	284	1	international	international	ADJ
ejpam-5908	284	2	journal	journal	NOUN
ejpam-5908	284	3	of	of	ADP
ejpam-5908	284	4	mathematics	mathematic	NOUN
ejpam-5908	284	5	and	and	CCONJ
ejpam-5908	284	6	computer	computer	NOUN
ejpam-5908	284	7	science	science	NOUN
ejpam-5908	284	8	,	,	PUNCT
ejpam-5908	284	9	15(1):1–17	15(1):1–17	NUM
ejpam-5908	284	10	,	,	PUNCT
ejpam-5908	284	11	2019	2019	NUM
ejpam-5908	284	12	.	.	PUNCT
ejpam-5908	285	1	[	[	X
ejpam-5908	285	2	22	22	NUM
ejpam-5908	285	3	]	]	X
ejpam-5908	285	4	u	u	PROPN
ejpam-5908	285	5	shuaib	shuaib	NOUN
ejpam-5908	285	6	,	,	PUNCT
ejpam-5908	285	7	h	h	NOUN
ejpam-5908	285	8	alolaiyan	alolaiyan	PROPN
ejpam-5908	285	9	,	,	PUNCT
ejpam-5908	285	10	a	a	DET
ejpam-5908	285	11	razaq	razaq	NOUN
ejpam-5908	285	12	,	,	PUNCT
ejpam-5908	285	13	s	s	VERB
ejpam-5908	285	14	dilbar	dilbar	NOUN
ejpam-5908	285	15	,	,	PUNCT
ejpam-5908	285	16	and	and	CCONJ
ejpam-5908	285	17	f	f	PROPN
ejpam-5908	285	18	tahir	tahir	PROPN
ejpam-5908	285	19	.	.	PUNCT
ejpam-5908	286	1	on	on	ADP
ejpam-5908	286	2	some	some	DET
ejpam-5908	286	3	algebraic	algebraic	ADJ
ejpam-5908	286	4	aspects	aspect	NOUN
ejpam-5908	286	5	of	of	ADP
ejpam-5908	286	6	η	η	ADJ
ejpam-5908	286	7	-	-	ADJ
ejpam-5908	286	8	intuitionistic	intuitionistic	ADJ
ejpam-5908	286	9	fuzzy	fuzzy	ADJ
ejpam-5908	286	10	subgroups	subgroup	NOUN
ejpam-5908	286	11	.	.	PUNCT
ejpam-5908	287	1	journal	journal	PROPN
ejpam-5908	287	2	of	of	ADP
ejpam-5908	287	3	taibah	taibah	PROPN
ejpam-5908	287	4	university	university	PROPN
ejpam-5908	287	5	for	for	ADP
ejpam-5908	287	6	science	science	NOUN
ejpam-5908	287	7	,	,	PUNCT
ejpam-5908	287	8	14(1):463	14(1):463	NUM
ejpam-5908	287	9	–	–	PUNCT
ejpam-5908	287	10	469	469	NUM
ejpam-5908	287	11	,	,	PUNCT
ejpam-5908	287	12	2020	2020	NUM
ejpam-5908	287	13	.	.	PUNCT
ejpam-5908	288	1	[	[	X
ejpam-5908	288	2	23	23	NUM
ejpam-5908	288	3	]	]	X
ejpam-5908	288	4	m	m	VERB
ejpam-5908	288	5	gulzar	gulzar	PROPN
ejpam-5908	288	6	,	,	PUNCT
ejpam-5908	288	7	d	d	PROPN
ejpam-5908	288	8	alghazzawi	alghazzawi	PROPN
ejpam-5908	288	9	,	,	PUNCT
ejpam-5908	288	10	m	m	VERB
ejpam-5908	288	11	h	h	NOUN
ejpam-5908	288	12	mateen	mateen	PROPN
ejpam-5908	288	13	,	,	PUNCT
ejpam-5908	288	14	and	and	CCONJ
ejpam-5908	288	15	n	n	PRON
ejpam-5908	288	16	kausar	kausar	NOUN
ejpam-5908	288	17	.	.	PUNCT
ejpam-5908	289	1	a	a	DET
ejpam-5908	289	2	certain	certain	ADJ
ejpam-5908	289	3	class	class	NOUN
ejpam-5908	289	4	of	of	ADP
ejpam-5908	289	5	tintuitionistic	tintuitionistic	ADJ
ejpam-5908	289	6	fuzzy	fuzzy	ADJ
ejpam-5908	289	7	subgroups	subgroup	NOUN
ejpam-5908	289	8	.	.	PUNCT
ejpam-5908	290	1	ieee	ieee	NOUN
ejpam-5908	290	2	access	access	NOUN
ejpam-5908	290	3	,	,	PUNCT
ejpam-5908	290	4	14:163260–163268	14:163260–163268	NUM
ejpam-5908	290	5	,	,	PUNCT
ejpam-5908	290	6	2020	2020	NUM
ejpam-5908	290	7	.	.	PUNCT
ejpam-5908	291	1	[	[	X
ejpam-5908	291	2	24	24	NUM
ejpam-5908	291	3	]	]	X
ejpam-5908	291	4	r	r	NOUN
ejpam-5908	291	5	rasuli	rasuli	NOUN
ejpam-5908	291	6	.	.	PUNCT
ejpam-5908	292	1	intuitionistic	intuitionistic	ADJ
ejpam-5908	292	2	fuzzy	fuzzy	ADJ
ejpam-5908	292	3	subgroups	subgroup	NOUN
ejpam-5908	292	4	with	with	ADP
ejpam-5908	292	5	respect	respect	NOUN
ejpam-5908	292	6	to	to	ADP
ejpam-5908	292	7	norms	norm	NOUN
ejpam-5908	292	8	(	(	PUNCT
ejpam-5908	292	9	t	t	PROPN
ejpam-5908	292	10	,	,	PUNCT
ejpam-5908	292	11	s	s	PART
ejpam-5908	292	12	)	)	PUNCT
ejpam-5908	292	13	.	.	PUNCT
ejpam-5908	293	1	engineering	engineering	NOUN
ejpam-5908	293	2	and	and	CCONJ
ejpam-5908	293	3	applied	apply	VERB
ejpam-5908	293	4	science	science	NOUN
ejpam-5908	293	5	letters	letter	NOUN
ejpam-5908	293	6	,	,	PUNCT
ejpam-5908	293	7	3:40–53	3:40–53	NUM
ejpam-5908	293	8	,	,	PUNCT
ejpam-5908	293	9	2020	2020	NUM
ejpam-5908	293	10	.	.	PUNCT
ejpam-5908	294	1	[	[	X
ejpam-5908	294	2	25	25	NUM
ejpam-5908	294	3	]	]	X
ejpam-5908	294	4	l	l	PROPN
ejpam-5908	294	5	latif	latif	PROPN
ejpam-5908	294	6	and	and	CCONJ
ejpam-5908	294	7	u	u	PROPN
ejpam-5908	294	8	shuaib	shuaib	PROPN
ejpam-5908	294	9	.	.	PUNCT
ejpam-5908	294	10	application	application	NOUN
ejpam-5908	294	11	of	of	ADP
ejpam-5908	294	12	t	t	PROPN
ejpam-5908	294	13	-	-	PUNCT
ejpam-5908	294	14	intuitionistic	intuitionistic	ADJ
ejpam-5908	294	15	fuzzy	fuzzy	ADJ
ejpam-5908	294	16	subgroup	subgroup	NOUN
ejpam-5908	294	17	to	to	PART
ejpam-5908	294	18	sylow	sylow	VERB
ejpam-5908	294	19	theory	theory	NOUN
ejpam-5908	294	20	.	.	PUNCT
ejpam-5908	295	1	heliyon	heliyon	NOUN
ejpam-5908	295	2	,	,	PUNCT
ejpam-5908	295	3	9	9	NUM
ejpam-5908	295	4	:	:	SYM
ejpam-5908	295	5	e19822	e19822	ADJ
ejpam-5908	295	6	,	,	PUNCT
ejpam-5908	295	7	2023	2023	NUM
ejpam-5908	295	8	.	.	PUNCT
ejpam-5908	296	1	[	[	X
ejpam-5908	296	2	26	26	NUM
ejpam-5908	296	3	]	]	X
ejpam-5908	296	4	d	d	X
ejpam-5908	296	5	y	y	PROPN
ejpam-5908	296	6	li	li	PROPN
ejpam-5908	296	7	,	,	PUNCT
ejpam-5908	296	8	c	c	PROPN
ejpam-5908	296	9	y	y	PROPN
ejpam-5908	296	10	zhang	zhang	PROPN
ejpam-5908	296	11	,	,	PUNCT
ejpam-5908	296	12	and	and	CCONJ
ejpam-5908	296	13	s	s	VERB
ejpam-5908	296	14	q	q	PROPN
ejpam-5908	296	15	ma	ma	PROPN
ejpam-5908	296	16	.	.	PUNCT
ejpam-5908	297	1	the	the	DET
ejpam-5908	297	2	intuitionistic	intuitionistic	ADJ
ejpam-5908	297	3	anti	anti	ADJ
ejpam-5908	297	4	-	-	ADJ
ejpam-5908	297	5	fuzzy	fuzzy	ADJ
ejpam-5908	297	6	subgroup	subgroup	NOUN
ejpam-5908	297	7	in	in	ADP
ejpam-5908	297	8	group	group	PROPN
ejpam-5908	297	9	g	g	PROPN
ejpam-5908	297	10	,	,	PUNCT
ejpam-5908	297	11	in	in	ADP
ejpam-5908	297	12	:	:	PUNCT
ejpam-5908	297	13	cao	cao	PROPN
ejpam-5908	297	14	by	by	ADP
ejpam-5908	297	15	,	,	PUNCT
ejpam-5908	297	16	zhang	zhang	PROPN
ejpam-5908	297	17	cy	cy	PROPN
ejpam-5908	297	18	,	,	PUNCT
ejpam-5908	297	19	li	li	PROPN
ejpam-5908	297	20	tf	tf	PROPN
ejpam-5908	297	21	(	(	PUNCT
ejpam-5908	297	22	eds	ed	NOUN
ejpam-5908	297	23	)	)	PUNCT
ejpam-5908	297	24	fuzzy	fuzzy	ADJ
ejpam-5908	297	25	information	information	NOUN
ejpam-5908	297	26	and	and	CCONJ
ejpam-5908	297	27	engineering	engineering	NOUN
ejpam-5908	297	28	,	,	PUNCT
ejpam-5908	297	29	advances	advance	NOUN
ejpam-5908	297	30	in	in	ADP
ejpam-5908	297	31	soft	soft	ADJ
ejpam-5908	297	32	computing	computing	NOUN
ejpam-5908	297	33	,	,	PUNCT
ejpam-5908	297	34	vol	vol	NOUN
ejpam-5908	297	35	54	54	NUM
ejpam-5908	297	36	.	.	PUNCT
ejpam-5908	297	37	springer	springer	NOUN
ejpam-5908	297	38	,	,	PUNCT
ejpam-5908	297	39	berlin	berlin	PROPN
ejpam-5908	297	40	,	,	PUNCT
ejpam-5908	297	41	heidelberg	heidelberg	PROPN
ejpam-5908	297	42	,	,	PUNCT
ejpam-5908	297	43	2009	2009	NUM
ejpam-5908	297	44	.	.	PUNCT
ejpam-5908	298	1	[	[	X
ejpam-5908	298	2	27	27	NUM
ejpam-5908	298	3	]	]	X
ejpam-5908	298	4	r	r	NOUN
ejpam-5908	298	5	a	a	DET
ejpam-5908	298	6	husban	husban	NOUN
ejpam-5908	298	7	and	and	CCONJ
ejpam-5908	298	8	a	a	DET
ejpam-5908	298	9	r	r	NOUN
ejpam-5908	298	10	salleh	salleh	NOUN
ejpam-5908	298	11	a	a	DET
ejpam-5908	298	12	g	g	PROPN
ejpam-5908	298	13	b	b	PROPN
ejpam-5908	298	14	ahmad	ahmad	PROPN
ejpam-5908	298	15	.	.	PUNCT
ejpam-5908	299	1	complex	complex	ADJ
ejpam-5908	299	2	intuitionistic	intuitionistic	ADJ
ejpam-5908	299	3	fuzzy	fuzzy	ADJ
ejpam-5908	299	4	group	group	NOUN
ejpam-5908	299	5	.	.	PUNCT
ejpam-5908	300	1	global	global	ADJ
ejpam-5908	300	2	journal	journal	PROPN
ejpam-5908	300	3	of	of	ADP
ejpam-5908	300	4	pure	pure	ADJ
ejpam-5908	300	5	and	and	CCONJ
ejpam-5908	300	6	applied	applied	ADJ
ejpam-5908	300	7	mathematics	mathematic	NOUN
ejpam-5908	300	8	,	,	PUNCT
ejpam-5908	300	9	12:4929–4949	12:4929–4949	NUM
ejpam-5908	300	10	,	,	PUNCT
ejpam-5908	300	11	2016	2016	NUM
ejpam-5908	300	12	.	.	PUNCT
ejpam-5908	301	1	[	[	X
ejpam-5908	301	2	28	28	NUM
ejpam-5908	301	3	]	]	X
ejpam-5908	301	4	r	r	NOUN
ejpam-5908	301	5	a	a	DET
ejpam-5908	301	6	husban	husban	NOUN
ejpam-5908	301	7	and	and	CCONJ
ejpam-5908	301	8	a	a	DET
ejpam-5908	301	9	r	r	NOUN
ejpam-5908	301	10	salleh	salleh	NOUN
ejpam-5908	301	11	a	a	DET
ejpam-5908	301	12	g	g	PROPN
ejpam-5908	301	13	b	b	PROPN
ejpam-5908	301	14	ahmad	ahmad	PROPN
ejpam-5908	301	15	.	.	PUNCT
ejpam-5908	302	1	complex	complex	ADJ
ejpam-5908	302	2	intuitionistic	intuitionistic	ADJ
ejpam-5908	302	3	fuzzy	fuzzy	ADJ
ejpam-5908	302	4	normal	normal	ADJ
ejpam-5908	302	5	subgroup	subgroup	NOUN
ejpam-5908	302	6	.	.	PUNCT
ejpam-5908	303	1	international	international	ADJ
ejpam-5908	303	2	journal	journal	PROPN
ejpam-5908	303	3	of	of	ADP
ejpam-5908	303	4	pure	pure	ADJ
ejpam-5908	303	5	and	and	CCONJ
ejpam-5908	303	6	applied	applied	ADJ
ejpam-5908	303	7	mathematics	mathematic	NOUN
ejpam-5908	303	8	,	,	PUNCT
ejpam-5908	303	9	115:455–466	115:455–466	NUM
ejpam-5908	303	10	,	,	PUNCT
ejpam-5908	303	11	2017	2017	NUM
ejpam-5908	303	12	.	.	PUNCT
ejpam-5908	304	1	[	[	X
ejpam-5908	304	2	29	29	NUM
ejpam-5908	304	3	]	]	X
ejpam-5908	304	4	d	d	PROPN
ejpam-5908	304	5	al	al	PROPN
ejpam-5908	304	6	-	-	PUNCT
ejpam-5908	304	7	sharoa	sharoa	NOUN
ejpam-5908	304	8	.	.	PUNCT
ejpam-5908	305	1	(	(	PUNCT
ejpam-5908	305	2	α1,2	α1,2	ADJ
ejpam-5908	305	3	,	,	PUNCT
ejpam-5908	305	4	β1,2)-complex	β1,2)-complex	ADJ
ejpam-5908	305	5	intuitionistic	intuitionistic	ADJ
ejpam-5908	305	6	fuzzy	fuzzy	ADJ
ejpam-5908	305	7	subgroups	subgroup	NOUN
ejpam-5908	305	8	and	and	CCONJ
ejpam-5908	305	9	its	its	PRON
ejpam-5908	305	10	algebraic	algebraic	ADJ
ejpam-5908	305	11	structure	structure	NOUN
ejpam-5908	305	12	.	.	PUNCT
ejpam-5908	306	1	aims	aim	VERB
ejpam-5908	306	2	mathematics	mathematic	NOUN
ejpam-5908	306	3	,	,	PUNCT
ejpam-5908	306	4	8:8082–8116	8:8082–8116	NUM
ejpam-5908	306	5	,	,	PUNCT
ejpam-5908	306	6	2023	2023	NUM
ejpam-5908	306	7	.	.	PUNCT
ejpam-5908	307	1	[	[	X
ejpam-5908	307	2	30	30	NUM
ejpam-5908	307	3	]	]	X
ejpam-5908	307	4	r	r	NOUN
ejpam-5908	307	5	rasuli	rasuli	NOUN
ejpam-5908	307	6	.	.	PUNCT
ejpam-5908	308	1	intuitionistic	intuitionistic	ADJ
ejpam-5908	308	2	fuzzy	fuzzy	ADJ
ejpam-5908	308	3	complex	complex	ADJ
ejpam-5908	308	4	subgroups	subgroup	NOUN
ejpam-5908	308	5	with	with	ADP
ejpam-5908	308	6	respect	respect	NOUN
ejpam-5908	308	7	to	to	ADP
ejpam-5908	308	8	norms	norm	NOUN
ejpam-5908	308	9	(	(	PUNCT
ejpam-5908	308	10	t	t	PROPN
ejpam-5908	308	11	,	,	PUNCT
ejpam-5908	308	12	s	s	NOUN
ejpam-5908	308	13	)	)	PUNCT
ejpam-5908	308	14	.	.	PUNCT
ejpam-5908	309	1	journal	journal	NOUN
ejpam-5908	309	2	of	of	ADP
ejpam-5908	309	3	fuzzy	fuzzy	ADJ
ejpam-5908	309	4	extension	extension	NOUN
ejpam-5908	309	5	and	and	CCONJ
ejpam-5908	309	6	applications	application	NOUN
ejpam-5908	309	7	,	,	PUNCT
ejpam-5908	309	8	4:92–114	4:92–114	NUM
ejpam-5908	309	9	,	,	PUNCT
ejpam-5908	309	10	2023	2023	NUM
ejpam-5908	309	11	.	.	PUNCT
ejpam-5908	310	1	[	[	X
ejpam-5908	310	2	31	31	NUM
ejpam-5908	310	3	]	]	X
ejpam-5908	310	4	k	k	PROPN
ejpam-5908	310	5	hur	hur	PROPN
ejpam-5908	310	6	and	and	CCONJ
ejpam-5908	310	7	s	s	PROPN
ejpam-5908	310	8	y	y	PROPN
ejpam-5908	310	9	jang	jang	PROPN
ejpam-5908	310	10	.	.	PUNCT
ejpam-5908	311	1	the	the	DET
ejpam-5908	311	2	lattice	lattice	NOUN
ejpam-5908	311	3	of	of	ADP
ejpam-5908	311	4	intuitionistic	intuitionistic	ADJ
ejpam-5908	311	5	fuzzy	fuzzy	ADJ
ejpam-5908	311	6	congruences	congruence	NOUN
ejpam-5908	311	7	.	.	PUNCT
ejpam-5908	312	1	international	international	PROPN
ejpam-5908	312	2	mathematical	mathematical	PROPN
ejpam-5908	312	3	forum	forum	PROPN
ejpam-5908	312	4	,	,	PUNCT
ejpam-5908	312	5	1:211–236	1:211–236	NUM
ejpam-5908	312	6	,	,	PUNCT
ejpam-5908	312	7	2006	2006	NUM
ejpam-5908	312	8	.	.	PUNCT
ejpam-5908	313	1	[	[	X
ejpam-5908	313	2	32	32	NUM
ejpam-5908	313	3	]	]	PUNCT
ejpam-5908	313	4	p	p	PROPN
ejpam-5908	313	5	k	k	PROPN
ejpam-5908	313	6	sharma	sharma	PROPN
ejpam-5908	313	7	.	.	PUNCT
ejpam-5908	314	1	intuitionistic	intuitionistic	ADJ
ejpam-5908	314	2	fuzzy	fuzzy	ADJ
ejpam-5908	314	3	groups	group	NOUN
ejpam-5908	314	4	.	.	PUNCT
ejpam-5908	315	1	international	international	ADJ
ejpam-5908	315	2	journal	journal	PROPN
ejpam-5908	315	3	of	of	ADP
ejpam-5908	315	4	data	data	PROPN
ejpam-5908	315	5	ware	ware	VERB
ejpam-5908	315	6	housing	housing	NOUN
ejpam-5908	315	7	and	and	CCONJ
ejpam-5908	315	8	mining	mining	NOUN
ejpam-5908	315	9	,	,	PUNCT
ejpam-5908	315	10	1:86–94	1:86–94	NUM
ejpam-5908	315	11	,	,	PUNCT
ejpam-5908	315	12	2011	2011	NUM
ejpam-5908	315	13	.	.	PUNCT
ejpam-5908	316	1	[	[	X
ejpam-5908	316	2	33	33	NUM
ejpam-5908	316	3	]	]	X
ejpam-5908	316	4	c	c	PROPN
ejpam-5908	316	5	xu	xu	PROPN
ejpam-5908	316	6	.	.	PUNCT
ejpam-5908	317	1	new	new	ADJ
ejpam-5908	317	2	structures	structure	NOUN
ejpam-5908	317	3	of	of	ADP
ejpam-5908	317	4	intuitionistic	intuitionistic	ADJ
ejpam-5908	317	5	fuzzy	fuzzy	ADJ
ejpam-5908	317	6	groups	group	NOUN
ejpam-5908	317	7	,	,	PUNCT
ejpam-5908	317	8	in	in	ADP
ejpam-5908	317	9	:	:	PUNCT
ejpam-5908	317	10	huang	huang	PROPN
ejpam-5908	317	11	ds	ds	PROPN
ejpam-5908	317	12	,	,	PUNCT
ejpam-5908	317	13	wunsch	wunsch	PROPN
ejpam-5908	317	14	dc	dc	PROPN
ejpam-5908	317	15	,	,	PUNCT
ejpam-5908	317	16	levine	levine	PROPN
ejpam-5908	317	17	ds	ds	PROPN
ejpam-5908	317	18	,	,	PUNCT
ejpam-5908	317	19	jo	jo	PROPN
ejpam-5908	317	20	kh	kh	PROPN
ejpam-5908	317	21	(	(	PUNCT
ejpam-5908	317	22	eds	eds	PROPN
ejpam-5908	317	23	)	)	PUNCT
ejpam-5908	317	24	advanced	advanced	ADJ
ejpam-5908	317	25	intelligent	intelligent	ADJ
ejpam-5908	317	26	computing	computing	NOUN
ejpam-5908	317	27	theories	theory	NOUN
ejpam-5908	317	28	and	and	CCONJ
ejpam-5908	317	29	applications	application	NOUN
ejpam-5908	317	30	.	.	PUNCT
ejpam-5908	318	1	with	with	ADP
ejpam-5908	318	2	aspects	aspect	NOUN
ejpam-5908	318	3	of	of	ADP
ejpam-5908	318	4	contemporary	contemporary	ADJ
ejpam-5908	318	5	intelligent	intelligent	ADJ
ejpam-5908	318	6	computing	computing	NOUN
ejpam-5908	318	7	techniques	technique	NOUN
ejpam-5908	318	8	,	,	PUNCT
ejpam-5908	318	9	communications	communication	NOUN
ejpam-5908	318	10	in	in	ADP
ejpam-5908	318	11	computer	computer	NOUN
ejpam-5908	318	12	and	and	CCONJ
ejpam-5908	318	13	information	information	NOUN
ejpam-5908	318	14	science	science	NOUN
ejpam-5908	318	15	,	,	PUNCT
ejpam-5908	318	16	vol	vol	NOUN
ejpam-5908	318	17	15	15	NUM
ejpam-5908	318	18	.	.	PUNCT
ejpam-5908	318	19	springer	springer	NOUN
ejpam-5908	318	20	,	,	PUNCT
ejpam-5908	318	21	berlin	berlin	PROPN
ejpam-5908	318	22	,	,	PUNCT
ejpam-5908	318	23	heidelberg	heidelberg	PROPN
ejpam-5908	318	24	,	,	PUNCT
ejpam-5908	318	25	2008	2008	NUM
ejpam-5908	318	26	.	.	PUNCT
ejpam-5908	319	1	[	[	X
ejpam-5908	319	2	34	34	NUM
ejpam-5908	319	3	]	]	X
ejpam-5908	319	4	c	c	NOUN
ejpam-5908	319	5	e	e	PROPN
ejpam-5908	319	6	watts	watts	PROPN
ejpam-5908	319	7	.	.	PUNCT
ejpam-5908	320	1	a	a	DET
ejpam-5908	320	2	jordan	jordan	PROPN
ejpam-5908	320	3	-	-	PUNCT
ejpam-5908	320	4	hölder	hölder	NOUN
ejpam-5908	320	5	theorem	theorem	VERB
ejpam-5908	320	6	.	.	PROPN
ejpam-5908	320	7	pacific	pacific	PROPN
ejpam-5908	320	8	journal	journal	PROPN
ejpam-5908	320	9	of	of	ADP
ejpam-5908	320	10	mathematics	mathematic	NOUN
ejpam-5908	320	11	,	,	PUNCT
ejpam-5908	320	12	14(2):731	14(2):731	NOUN
ejpam-5908	320	13	–	–	PUNCT
ejpam-5908	320	14	734	734	NUM
ejpam-5908	320	15	,	,	PUNCT
ejpam-5908	320	16	1964	1964	NUM
ejpam-5908	320	17	.	.	PUNCT
ejpam-5908	321	1	[	[	X
ejpam-5908	321	2	35	35	NUM
ejpam-5908	321	3	]	]	X
ejpam-5908	321	4	u	u	NOUN
ejpam-5908	321	5	gürdal	gürdal	NOUN
ejpam-5908	321	6	.	.	PUNCT
ejpam-5908	322	1	a	a	DET
ejpam-5908	322	2	jordan	jordan	PROPN
ejpam-5908	322	3	-	-	PUNCT
ejpam-5908	322	4	hölder	hölder	NOUN
ejpam-5908	322	5	theorem	theorem	NOUN
ejpam-5908	322	6	for	for	ADP
ejpam-5908	322	7	crossed	cross	VERB
ejpam-5908	322	8	squares	square	NOUN
ejpam-5908	322	9	.	.	PUNCT
ejpam-5908	323	1	kuwait	kuwait	PROPN
ejpam-5908	323	2	journal	journal	PROPN
ejpam-5908	323	3	of	of	ADP
ejpam-5908	323	4	science	science	NOUN
ejpam-5908	323	5	,	,	PUNCT
ejpam-5908	323	6	50(2):83–90	50(2):83–90	NUM
ejpam-5908	323	7	,	,	PUNCT
ejpam-5908	323	8	2023	2023	NUM
ejpam-5908	323	9	.	.	PUNCT